Finite Group Databasebeta

← #26005321

Subgroups — #26005321

Order 11008.

6530 conjugacy classes of subgroups.

The subgroup lattice has 1768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149204C212yesmaximal, complemented
2#19149195C212yesmaximal, complemented
3#19149193C214yesmaximal, complemented
4#19149132C212yesmaximal, complemented
5#19149123C212yesmaximal, complemented
6#19149121C214yesmaximal, complemented
7#19149051C211yesmaximal, characteristic, complemented
8#19149048C212yesmaximal, complemented
9#19149045C214yesmaximal, complemented
10#19148571C214yesmaximal, complemented
11#19148569C214yesmaximal, complemented
12#19148565C214yesmaximal, complemented
13#19148562C214yesmaximal, complemented
14#19148511C214yesmaximal, complemented
15#19148415C214yesmaximal, complemented
16#19148303C214yesmaximal, complemented
17#19148300C214yesmaximal, complemented
18#19148299C214yesmaximal, complemented
19#19147889C212yesmaximal, complemented
20C2×#125×D43C211yesmaximal, characteristic, complemented
21C43×#3553C211yesmaximal, characteristic, complemented
22C43⋊#564C2214yescomplemented
23C43⋊#564C2211yescharacteristic, complemented
24C43⋊#564C2212yescomplemented
25#14583653C2212yescomplemented
26#14583653C2212yescomplemented
27#14583651C2214yescomplemented
28#14583650C2214yescomplemented
29#14583649C2212yescomplemented
30#14583647C2211yescharacteristic, complemented
31#14583646C2214yescomplemented
32#14583643C2212yescomplemented
33#14583627C2214yescomplemented
34#14583626C2214yescomplemented
35#14583626C2214yescomplemented
36#14583624C2214yescomplemented
37#14583608C2214yes—
38#14583608C2214yes—
39#14583607C2214yes—
40#14583607C2214yescomplemented
41#14583606C2214yes—
42#14583605C2214yes—
43#14583605C2214yes—
44#14583604C2214yes—
45#14583604C2214yescomplemented
46#14583603C2214yes—
47#14583603C2214yes—
48#14583603C2214yes—
49#14583603C2214yes—
50#14583603C2214yescomplemented
51#14583603C2214yescomplemented
52#14583601C2214yes—
53#14583600C2214yes—
54#14583600C2214yes—
55#14583600C2214yescomplemented
56#14583598C2214yes—
57#14583598C2214yes—
58#14583598C2214yescomplemented
59#14583597C2214yes—
60#14583595C2214yes—
61#14583594C2214yes—
62#14583594C2214yes—
63#14583594C2214yescomplemented
64#14583592C2214yes—
65#14583592C2214yes—
66#14583592C2214yescomplemented
67#14583591C2214yescomplemented
68#14583590C2214yes—
69#14583588C2214yes—
70#14583588C2214yescomplemented
71#14583587C2214yes—
72#14583587C2214yescomplemented
73#14583586C2214yescomplemented
74#14583586C2214yescomplemented
75#14583585C2214yes—
76#14583585C2214yes—
77#14583585C2214yes—
78#14583585C2214yes—
79#14583585C2214yescomplemented
80#14583585C2214yescomplemented
81#14583583C2214yes—
82#14583582C2214yescomplemented
83#14583582C2214yescomplemented
84#14583581C2214yes—
85#14583581C2214yes—
86#14583581C2214yes—
87#14583581C2214yes—
88#14583581C2214yescomplemented
89#14583581C2214yescomplemented
90#14583554C2214yes—
91#14583552C2214yes—
92#14583551C2214yes—
93#14583551C2214yes—
94#14583551C2214yes—
95#14583551C2214yes—
96#14583550C2214yes—
97#14583549C2214yes—
98#14583547C2214yes—
99#14583547C2214yes—
100#14583547C2214yes—
101#14583547C2214yes—
102#14583529C2214yes—
103#14583529C2214yescomplemented
104#14583528C2214yes—
105#14583528C2214yescomplemented
106#14583528C2214yescomplemented
107#14583526C2214yes—
108#14583526C2214yescomplemented
109#14583512C2214yescomplemented
110#14583509C2214yescomplemented
111#14583508C2214yescomplemented
112#14583508C2214yescomplemented
113#14583508C2214yescomplemented
114#14583507C2214yescomplemented
115#14583506C2214yescomplemented
116#14583506C2214yescomplemented
117#14583506C2214yescomplemented
118#14583501C2214yescomplemented
119#14583499C2214yescomplemented
120#14583498C2214yescomplemented
121#14583497C2214yes—
122#14583497C2214yes—
123#14583497C2214yescomplemented
124#14583496C2214yes—
125#14583495C2214yes—
126#14583495C2214yes—
127#14583493C2214yes—
128#14583493C2214yes—
129#14583493C2214yescomplemented
130#14583492C2214yes—
131#14583492C2214yes—
132#14583492C2214yescomplemented
133#14583491C2214yescomplemented
134#14583490C2214yes—
135#14583490C2214yes—
136#14583490C2214yescomplemented
137#14583490C2214yescomplemented
138#14583479C2214yes—
139#14583478C2214yes—
140#14583476C2214yes—
141#14583455C2212yes—
142#14583453C2212yes—
143#14583453C2214yescomplemented
144#14583451C2212yes—
145#14583451C2214yescomplemented
146#14583448C2212yes—
147#14583446C2212yes—
148#14583444C2212yes—
149#14583434C2212yes—
150#14583433C2212yes—
151#14583432C2214yes—
152#14583432C2214yes—
153#14583432C2214yescomplemented
154#14583429C2214yescomplemented
155#14583428C2212yes—
156#14583427C2214yes—
157#14583427C2214yescomplemented
158#14583426C2214yes—
159#14583426C2214yescomplemented
160C2×#13063317C2211yescharacteristic
161C2×#13063316C2212yes—
162C2×#13063315C2214yes—
163C2×#13063315C2214yescomplemented
164#125×D43C2212yes—
165#125×D43C2214yes—
166#125×D43C2212yes—
167#125×D43C2214yes—
168#125×D43C2212yes—
169#125×D43C2212yes—
170#125×D43C2214yescomplemented
171#14583412C2214yes—
172#14583412C2212yes—
173#14583409C2214yes—
174#14583409C2212yes—
175#14583408C2214yes—
176#14583408C2214yes—
177#14583408C2214yes—
178#14583407C2214yes—
179#14583381C2214yes—
180#14583380C2214yes—
181#14583379C2214yes—
182#14583378C2214yes—
183#14583378C2214yes—
184#14583378C2214yes—
185C4×#10621902C2212yes—
186#14583367C2214yes—
187C4×#10621900C2212yes—
188C4×#10621900C2214yes—
189C2×C4⋊C4×D43C2214yes—
190C2×C4⋊C4×D43C2212yes—
191C2×C42×D43C2211yescharacteristic
192C43×#564C2211yescharacteristic, complemented
193C43×#563C2212yescomplemented
194C43×#562C2211yescharacteristic, complemented
195C43×#554C2214yes—
196C43×#553C2214yes—
197C43×#552C2214yescomplemented
198C43×#541C2214yescomplemented
199C43×#539C2214yes—
200C43×#539C2214yescomplemented
201C43×#529C2212yes—
202C2×#125×C43C2211yescharacteristic
203C2×#10621902C2312yes—
204C2×#10621902C2314yes—
205C2×#10621898C2314yes—
206C2×#10621898C2314yes—
207C2×#10621898C2314yes—
208C2×#10621900C2314yes—
209C2×#10621900C2312yes—
210C2×#10621900C2314yes—
211C22×C4×D43C2311yescharacteristic
212C22×C4×D43C2312yes—
213C22×C4×D43C2314yes—
214#13063325C2314yes—
215#13063324C2314yes—
216#13063324C2314yes—
217#13063324C2314yes—
218#13063324C2314yes—
219#13063324C2314yes—
220#13063324C2314yes—
221#13063324C2312yes—
222#13063324C2312yes—
223#13063323C2314yes—
224#13063323C2314yes—
225#13063323C2314yes—
226#13063323C2314yes—
227#13063323C2312yes—
228#13063321C2312yes—
229#13063320C2314yes—
230#13063320C2314yes—
231#13063320C2314yes—
232#13063320C2314yes—
233#13063320C2314yes—
234#13063320C2314yes—
235#13063320C2314yes—
236#13063320C2314yes—
237#13063320C2314yes—
238#13063320C2314yes—
239#13063320C2314yes—
240#13063319C2314yes—
241#13063319C2314yes—
242#13063319C2314yes—
243#13063318C2314yes—
244#13063318C2314yes—
245#13063318C2314yes—
246#13063318C2314yes—
247#13063318C2314yes—
248#13063318C2314yes—
249#13063318C2314yes—
250#13063318C2314yes—
251#13063318C2314yes—
252#13063317C2311yescharacteristic
253#13063317C2314yes—
254#13063317C2314yes—
255#13063317C2314yes—
256#13063317C2311yescharacteristic
257#13063317C2312yes—
258#13063317C2312yes—
259#13063317C2314yes—
260#13063316C2314yes—
261#13063316C2314yes—
262#13063316C2314yes—
263#13063316C2314yes—
264#13063316C2314yes—
265#13063316C2314yes—
266#13063316C2314yes—
267#13063316C2314yes—
268#13063316C2314yes—
269#13063316C2314yes—
270#13063316C2312yes—
271#13063316C2312yes—
272#13063316C2312yes—
273#13063316C2312yes—
274#13063315C2314yes—
275#13063315C2314yes—
276#13063315C2314yes—
277#13063315C2314yes—
278#13063315C2314yes—
279#13063315C2314yes—
280#13063315C2314yes—
281#13063315C2314yes—
282#13063315C2314yes—
283#13063315C2314yes—
284#13063315C2314yes—
285#13063315C2314yes—
286#13063315C2314yes—
287#13063315C2314yes—
288#13063315C2314yes—
289#13063315C2314yes—
290#13063315C2314yes—
291#13063315C2314yes—
292#13063315C2314yes—
293#13063315C2314yes—
294#13063315C2314yes—
295#13063315C2314yes—
296#13063315C2314yes—
297#13063315C2314yes—
298#13063315C2314yes—
299#13063315C2314yes—
300#13063315C2314yes—
301#13063315C2314yes—
302#13063315C2314yes—
303#13063315C2314yes—
304#13063313C2312yes—
305#13063311C2314yes—
306#13063311C2314yes—
307#13063310C2314yes—
308#13063310C2314yes—
309#13063310C2314yes—
310#13063310C2314yes—
311#13063310C2314yes—
312#13063310C2314yes—
313#13063310C2314yes—
314#13063310C2314yes—
315#13063310C2314yes—
316#13063310C2314yes—
317#13063310C2314yes—
318#13063310C2314yes—
319#13063309C2314yes—
320#13063309C2314yes—
321#13063309C2314yes—
322#13063309C2314yes—
323#13063308C2314yes—
324#13063308C2314yes—
325#13063308C2314yes—
326#13063307C2314yes—
327#13063307C2314yes—
328#13063307C2314yes—
329#13063307C2314yes—
330#13063307C2314yes—
331#13063307C2314yes—
332#13063307C2314yes—
333#13063307C2314yes—
334#13063307C2314yes—
335#13063307C2314yes—
336#13063307C2314yes—
337#13063307C2314yes—
338#13063306C2314yes—
339#13063306C2314yes—
340#13063305C2314yes—
341#13063305C2314yes—
342#13063305C2314yes—
343#13063305C2314yes—
344#13063305C2314yes—
345#13063305C2314yes—
346#13063305C2312yes—
347#13063304C2314yes—
348#13063304C2314yes—
349#13063304C2314yes—
350#13063304C2314yes—
351#13063304C2312yes—
352#13063303C2314yes—
353#13063303C2314yes—
354#13063303C2314yes—
355#13063303C2314yes—
356#13063303C2314yes—
357#13063303C2314yes—
358#13063303C2314yes—
359#13063303C2314yes—
360#13063303C2314yes—
361#13063303C2314yes—
362#13063303C2314yes—
363#13063303C2314yes—
364#13063303C2314yes—
365#13063303C2314yes—
366#13063303C2314yes—
367#13063302C2314yes—
368#13063302C2314yes—
369#13063302C2314yes—
370#13063302C2314yes—
371#13063302C2314yes—
372#13063302C2314yes—
373#13063302C2314yes—
374#13063302C2314yes—
375#13063302C2314yes—
376#13063302C2314yes—
377#13063302C2314yes—
378#13063302C2314yes—
379#13063302C2314yes—
380#13063301C2314yes—
381#13063301C2314yes—
382#13063301C2314yes—
383#13063301C2314yes—
384#13063301C2312yes—
385#13063300C2314yes—
386#13063300C2314yes—
387#13063300C2312yes—
388#13063299C2314yes—
389#13063299C2314yes—
390#13063299C2312yes—
391#13063298C2314yes—
392#13063298C2314yes—
393#13063298C2314yes—
394#13063298C2314yes—
395#13063298C2314yes—
396#13063298C2314yes—
397#13063298C2314yes—
398#13063298C2314yes—
399#13063298C2314yes—
400#13063297C2314yes—
401#13063297C2314yes—
402#13063297C2314yes—
403#13063297C2314yes—
404#13063297C2314yes—
405#13063297C2314yes—
406#13063297C2314yes—
407#13063296C2314yes—
408#13063296C2314yes—
409#13063296C2312yes—
410#13063295C2314yes—
411#13063293C2314yes—
412Q8×Dic43C2314yes—
413Q8×Dic43C2312yes—
414C4×Dic86C2314yes—
415C4×Dic86C2314yes—
416C4×Dic86C2314yes—
417C4×Dic86C2314yes—
418C4×Dic86C2314yes—
419C4×Dic86C2314yes—
420C4×Dic86C2312yes—
421#13063290C2314yes—
422#13063290C2314yes—
423#13063290C2314yes—
424#13063290C2314yes—
425#13063290C2314yes—
426#13063290C2314yes—
427#13063290C2312yes—
428#13063290C2314yes—
429#13063290C2314yes—
430C4×D172C2314yes—
431C4×D172C2314yes—
432C4×D172C2314yes—
433C4×D172C2314yes—
434C4×D172C2312yes—
435D4×Dic43C2312yes—
436D4×Dic43C2314yes—
437D4×Dic43C2314yes—
438D4×Dic43C2314yes—
439D4×Dic43C2314yes—
440#13063287C2314yes—
441#13063287C2314yes—
442#13063287C2314yes—
443#13063287C2314yes—
444#13063287C2312yes—
445#13063287C2314yes—
446#13063287C2314yes—
447C4×C22⋊D43C2314yes—
448C4×C22⋊D43C2314yes—
449C4×C22⋊D43C2314yes—
450C4×C22⋊D43C2314yes—
451C4×C22⋊D43C2314yes—
452C4×C22⋊D43C2314yes—
453C4×C22⋊D43C2314yes—
454C4×C22⋊D43C2314yes—
455C4×C22⋊D43C2314yes—
456C4×C22⋊D43C2314yes—
457C4×C22⋊D43C2314yes—
458(C22⋊D43)⋊C4C2314yes—
459(C22⋊D43)⋊C4C2314yes—
460(C22⋊D43)⋊C4C2314yes—
461(C22⋊D43)⋊C4C2314yes—
462(C22⋊D43)⋊C4C2314yes—
463(C22⋊D43)⋊C4C2314yes—
464(C22⋊D43)⋊C4C2314yes—
465(C22⋊D43)⋊C4C2314yes—
466(C22⋊D43)⋊C4C2314yes—
467(C22⋊D43)⋊C4C2314yes—
468(C22⋊D43)⋊C4C2314yes—
469(C22⋊D43)⋊C4C2314yes—
470(C22⋊D43)⋊C4C2314yes—
471(C22⋊D43)⋊C4C2314yes—
472(C22⋊D43)⋊C4C2314yes—
473#13063284C2314yes—
474#13063283C2312yes—
475#13063283C2314yes—
476#13063283C2314yes—
477#13063283C2314yes—
478#13063283C2314yes—
479#13063283C2312yes—
480#13063283C2314yes—
481#13063283C2314yes—
482#13063282C2314yes—
483#13063282C2314yes—
484#13063282C2314yes—
485#13063282C2314yes—
486#13063282C2314yes—
487#13063282C2314yes—
488#13063282C2314yes—
489#13063282C2314yes—
490#13063281C2314yes—
491#13063281C2314yes—
492#13063281C2314yes—
493#13063281C2314yes—
494#13063281C2314yes—
495#13063281C2314yes—
496#13063281C2314yes—
497C2×C4⋊Dic43C2314yes—
498C2×C4⋊Dic43C2314yes—
499C2×C4⋊Dic43C2312yes—
500C2×Dic43⋊C4C2314yes—
501C2×Dic43⋊C4C2314yes—
502C2×Dic43⋊C4C2314yes—
503C2×Dic43⋊C4C2314yes—
504C2×Dic43⋊C4C2314yes—
505C2×Dic43⋊C4C2314yes—
506C2×Dic43⋊C4C2314yes—
507C4⋊C4×D43C2314yes—
508C4⋊C4×D43C2314yes—
509C4⋊C4×D43C2314yes—
510C4⋊C4×D43C2314yes—
511C4⋊C4×D43C2312yes—
512C4⋊C4×D43C2314yes—
513C4⋊C4×D43C2314yes—
514C4⋊C4×D43C2314yes—
515C4⋊C4×D43C2312yes—
516C4⋊C4×D43C2314yes—
517C4⋊C4×D43C2314yes—
518C4⋊C4×D43C2314yes—
519C4⋊C4×D43C2314yes—
520C4⋊C4×D43C2312yes—
521C4⋊C4×D43C2314yes—
522C4⋊C4×D43C2312yes—
523C4⋊C4×D43C2314yes—
524C4⋊C4×D43C2314yes—
525C4⋊C4×D43C2314yes—
526C4⋊C4×D43C2314yes—
527C2×C4×Dic43C2312yes—
528C2×C4×Dic43C2311yescharacteristic
529C2×C4×Dic43C2314yes—
530C42×D43C2312yes—
531C42×D43C2312yes—
532C42×D43C2312yes—
533C42×D43C2312yes—
534C42×D43C2314yes—
535C4⋊Q8×C43C2314yes—
536#126×C43C2314yes—
537#126×C43C2314yes—
538#126×C43C2314yes—
539#126×C43C2314yes—
540#126×C43C2314yes—
541#125×C43C2314yes—
542#125×C43C2314yes—
543#125×C43C2314yes—
544#125×C43C2314yes—
545#125×C43C2312yes—
546#125×C43C2314yes—
547#125×C43C2314yes—
548#125×C43C2311yescharacteristic
549#125×C43C2311yescharacteristic
550#125×C43C2312yes—
551#124×C43C2312yes—
552#123×C43C2314yes—
553#123×C43C2314yes—
554#123×C43C2314yes—
555#123×C43C2314yes—
556#123×C43C2314yes—
557C22⋊Q8×C43C2314yes—
558C22⋊Q8×C43C2312yes—
559C22⋊Q8×C43C2314yes—
560C22⋊Q8×C43C2314yes—
561C22⋊Q8×C43C2314yes—
562C22⋊Q8×C43C2314yes—
563C22⋊Q8×C43C2314yes—
564#121×C43C2312yes—
565#121×C43C2314yes—
566#121×C43C2314yes—
567C4×Q8×C43C2312yes—
568C4×Q8×C43C2314yes—
569C4×D4×C43C2314yes—
570C4×D4×C43C2312yes—
571C4×D4×C43C2314yes—
572C4×D4×C43C2314yes—
573C4×D4×C43C2314yes—
574#117×C43C2314yes—
575#117×C43C2314yes—
576C2×C4⋊C4×C43C2312yes—
577C2×C4⋊C4×C43C2314yes—
578C2×C4⋊C4×C43C2314yes—
579C2×C42×C43C2311yescharacteristic
580C23×D43C2411yescharacteristic
581C2×Q8×C43C2414yes—
582C2×Q8×C43C2412yes—
583C2×D4×C43C2414yes—
584C2×D4×C43C2414yes—
585C2×D4×C43C2412yes—
586C22×C4×C43C2411yescharacteristic
587C22×C4×C43C2412yes—
588C22×C4×C43C2414yes—
589C22×C4×C43C2414yes—
590C22×C4×C43C2414yes—
591C22×C4×C43C2414yes—
592C2×C22⋊D43C2414yes—
593C2×C22⋊D43C2414yes—
594C2×C22⋊D43C2414yes—
595C2×C22⋊D43C2414yes—
596C2×C22⋊D43C2414yes—
597C2×C22⋊D43C2414yes—
598C2×C22⋊D43C2414yes—
599C22×Dic43C2414yes—
600C22×Dic43C2412yes—
601C22×Dic43C2414yes—
602C22×Dic43C2414yes—
603C22×Dic43C2414yes—
604C22×Dic43C2414yes—
605C22×Dic43C2411yescharacteristic
606#10621902—48no—
607#10621902—44no—
608#10621900—216no—
609#10621900—48no—
610#10621900—44no—
611#10621898—48no—
612#10621898—48no—
613#10621898—48no—
614C2×D172C2414yes—
615C2×D172C2414yes—
616C2×D172C2414yes—
617C2×D172C2412yes—
618C2×C4×D43—24no—
619C2×C4×D43—44no—
620C2×C4×D43—48no—
621C2×C4×D43C2412yes—
622C2×C4×D43C2412yes—
623C2×C4×D43C2412yes—
624C2×C4×D43C2412yes—
625C2×C4×D43C2414yes—
626C2×C4×D43C2414yes—
627C2×C4×D43C2414yes—
628C2×C4×D43C2412yes—
629C2×C4×D43C2412yes—
630C2×C4×D43C2414yes—
631C2×C4×D43C2414yes—
632C2×C4×D43C2414yes—
633C2×C4×D43C2414yes—
634C2×C4×D43C2414yes—
635C2×C4×D43C2414yes—
636C2×C4×D43C2414yes—
637C2×C4×D43C2414yes—
638C2×Dic86C2414yes—
639C2×Dic86C2414yes—
640C2×Dic86C2414yes—
641C2×Dic86C2412yes—
642C2×Dic86C2414yes—
643C2×Dic86C2414yes—
644C4⋊C4×C43C2414yes—
645C4⋊C4×C43C2414yes—
646C4⋊C4×C43C2414yes—
647C4⋊C4×C43C2414yes—
648C4⋊C4×C43C2414yes—
649C4⋊C4×C43C2412yes—
650C4⋊C4×C43C2414yes—
651C4⋊C4×C43C2414yes—
652C4⋊C4×C43C2414yes—
653C4⋊C4×C43C2412yes—
654C4⋊C4×C43C2414yes—
655C4⋊C4×C43C2414yes—
656C4⋊C4×C43C2412yes—
657C4⋊C4×C43C2414yes—
658C4⋊C4×C43C2414yes—
659C4⋊C4×C43C2414yes—
660C4⋊C4×C43C2412yes—
661C4⋊C4×C43C2414yes—
662C4⋊C4×C43C2414yes—
663C22⋊C4×C43C2414yes—
664C22⋊C4×C43C2414yes—
665C22⋊C4×C43C2414yes—
666C22⋊C4×C43C2414yes—
667C22⋊C4×C43C2414yes—
668C22⋊C4×C43C2414yes—
669C22⋊C4×C43C2414yes—
670C22⋊C4×C43C2414yes—
671C22⋊C4×C43C2414yes—
672C42×C43C2411yescharacteristic
673C42×C43C2412yes—
674C42×C43C2411yescharacteristic
675C42×C43C2414yes—
676C42×C43C2414yes—
677C42×C43C2414yes—
678C22⋊Dic43C2414yes—
679C22⋊Dic43C2414yes—
680C22⋊Dic43C2414yes—
681C22⋊Dic43C2414yes—
682C22⋊Dic43C2414yes—
683C22⋊Dic43C2414yes—
684C22⋊Dic43C2414yes—
685(C2×D43)⋊C4C2414yes—
686(C2×D43)⋊C4C2414yes—
687(C2×D43)⋊C4C2414yes—
688(C2×D43)⋊C4C2414yes—
689(C2×D43)⋊C4C2414yes—
690(C2×D43)⋊C4C2414yes—
691(C2×D43)⋊C4C2414yes—
692(C2×D43)⋊C4C2414yes—
693(C2×D43)⋊C4C2414yes—
694(C2×D43)⋊C4C2414yes—
695(C2×D43)⋊C4C2414yes—
696(C2×D43)⋊C4C2414yes—
697(C2×D43)⋊C4C2414yes—
698(C2×D43)⋊C4C2414yes—
699(C2×D43)⋊C4C2414yes—
700(C2×D43)⋊C4C2414yes—
701(C2×D43)⋊C4C2414yes—
702(C2×D43)⋊C4C2414yes—
703C4⋊Dic43C2414yes—
704C4⋊Dic43C2414yes—
705C4⋊Dic43C2414yes—
706C4⋊Dic43C2414yes—
707C4⋊Dic43C2412yes—
708C4⋊Dic43C2414yes—
709C4⋊Dic43C2412yes—
710C4⋊Dic43C2414yes—
711C4⋊Dic43C2414yes—
712C4⋊Dic43C2414yes—
713C4⋊Dic43C2414yes—
714C4⋊Dic43C2414yes—
715C4⋊Dic43C2414yes—
716C4⋊Dic43C2414yes—
717C4⋊Dic43C2412yes—
718C4⋊Dic43C2414yes—
719C4⋊Dic43C2412yes—
720Dic43⋊C4C2414yes—
721Dic43⋊C4C2414yes—
722Dic43⋊C4C2414yes—
723Dic43⋊C4C2414yes—
724Dic43⋊C4C2414yes—
725Dic43⋊C4C2414yes—
726Dic43⋊C4C2414yes—
727Dic43⋊C4C2414yes—
728Dic43⋊C4C2414yes—
729Dic43⋊C4C2414yes—
730Dic43⋊C4C2414yes—
731Dic43⋊C4C2414yes—
732Dic43⋊C4C2414yes—
733Dic43⋊C4C2414yes—
734Dic43⋊C4C2414yes—
735Dic43⋊C4C2414yes—
736Dic43⋊C4C2414yes—
737Dic43⋊C4C2414yes—
738Dic43⋊C4C2414yes—
739Dic43⋊C4C2414yes—
740Dic43⋊C4C2414yes—
741Dic43⋊C4C2414yes—
742Dic43⋊C4C2414yes—
743Dic43⋊C4C2414yes—
744Dic43⋊C4C2414yes—
745Dic43⋊C4C2414yes—
746Dic43⋊C4C2414yes—
747Dic43⋊C4C2414yes—
748Dic43⋊C4C2414yes—
749Dic43⋊C4C2414yes—
750Dic43⋊C4C2414yes—
751Dic43⋊C4C2414yes—
752Dic43⋊C4C2414yes—
753Dic43⋊C4C2414yes—
754C4×Dic43C2412yes—
755C4×Dic43C2411yescharacteristic
756C4×Dic43C2412yes—
757C4×Dic43C2412yes—
758C4×Dic43C2412yes—
759C4×Dic43C2412yes—
760C4×Dic43C2411yescharacteristic
761C4×Dic43C2414yes—
762C4×Dic43C2414yes—
763C4×Dic43C2414yes—
764C4×Dic43C2414yes—
765C4×Dic43C2414yes—
766C4×Dic43C2414yes—
767C4×Dic43C2414yes—
768C4×Dic43C2414yes—
769C4×Dic43C2414yes—
770C4×Dic43C2414yes—
771C4×Dic43C2414yes—
772C23×C43C2514yes—
773C23×C43C2511yescharacteristic
774C22×D43—22no—
775C22×D43—24no—
776C22×D43C2514yes—
777C22×D43C2512yes—
778Q8×C43—44no—
779Q8×C43—42no—
780D4×C43—28no—
781D4×C43—44no—
782D4×C43—42no—
783C2×C4×C43—22no—
784C2×C4×C43—44no—
785C2×C4×C43—42no—
786C2×C4×C43—44no—
787C2×C4×C43—44no—
788C2×C4×C43—44no—
789C2×C4×C43C2512yes—
790C2×C4×C43C2514yes—
791C2×C4×C43C2514yes—
792C2×C4×C43C2514yes—
793C2×C4×C43C2512yes—
794C2×C4×C43C2511yescharacteristic
795C2×C4×C43C2511yescharacteristic
796C2×C4×C43C2514yes—
797C2×C4×C43C2514yes—
798C22⋊D43—28no—
799C22⋊D43—28no—
800C22⋊D43—28no—
801C22⋊D43—28no—
802C22⋊D43—44no—
803C22⋊D43—44no—
804C22⋊D43—44no—
805C2×Dic43—28no—
806C2×Dic43—42no—
807C2×Dic43—44no—
808C2×Dic43—44no—
809C2×Dic43—44no—
810C2×Dic43—44no—
811C2×Dic432−1+414yes—
812C2×Dic43C2512yes—
813C2×Dic43C2514yes—
814C2×Dic43C2512yes—
815C2×Dic43C2514yes—
816C2×Dic43C2514yes—
817C2×Dic43C2514yes—
818C2×Dic43C2514yes—
819C2×Dic43C2512yes—
820D172—28no—
821D172—28no—
822D172—42no—
823D172—44no—
824C4×D43—24no—
825C4×D43—28no—
826C4×D43—28no—
827C4×D43—24no—
828C4×D43—24no—
829C4×D43—24no—
830C4×D43—28no—
831C4×D43—42no—
832C4×D43—44no—
833C4×D43—44no—
834C4×D43—42no—
835C4×D43—44no—
836C4×D43—44no—
837C4×D43—44no—
838C4×D43—44no—
839C4×D43—44no—
840C4×D43—44no—
841Dic86—28no—
842Dic86—44no—
843Dic86—44no—
844Dic86—44no—
845Dic86—44no—
846Dic86—42no—
847#62825—431nomaximal, Sylow
848C22×C43—22no—
849C22×C43—24no—
850C22×C43—24no—
851C22×C43—24no—
852C22×C43C2×2−1+412yes—
853C22×C43C2611yescharacteristic
854C2×D43—28no—
855C2×D43—22no—
856C2×D43—22no—
857C2×D43—24no—
858C2×D43—24no—
859C2×D43—24no—
860C2×D43#58514yes—
861C4×C43—24no—
862C4×C43—21no—
863C4×C43—21no—
864C4×C43—24no—
865C4×C43—24no—
866C4×C43—22no—
867C4×C43—24no—
868C4×C43—22no—
869C4×C43—24no—
870Dic43—24no—
871Dic43—24no—
872Dic43—24no—
873Dic43—22no—
874Dic43—24no—
875Dic43—24no—
876Dic43—22no—
877Dic43C2×2−1+414yes—
878#3563—432no—
879#3563—432no—
880#3563—434no—
881#3559—432no—
882#3559—432no—
883#3559—434no—
884#3553—434no—
885#3553—432no—
886#3553—431no—
887#3553D4311yescharacteristic, complemented
888#3515—434no—
889#3515—434no—
890#3515—434no—
891#3515—434no—
892#3512—434no—
893#3504—434no—
894#3492—434no—
895#3492—434no—
896#3492—434no—
897#3444—432no—
898C22×#125—431no—
899C2×C43—22no—
900C2×C43—44no—
901C2×C43C22×2−1+411yescharacteristic
902C2×C43C2×#58512yes—
903D43—24no—
904D43—44no—
905#564—434no—
906#564—431no—
907#564—432no—
908#564C2×D4311yescharacteristic, complemented
909#563—434no—
910#563—432no—
911#563—432no—
912#563—432no—
913#563—434no—
914#563C2×D4312yescomplemented
915#562—431no—
916#562—432no—
917#562—434no—
918#562C2×D4311yescharacteristic, complemented
919#557—434no—
920#557—434no—
921#557—434no—
922#557—434no—
923#554—434no—
924#554—434no—
925#554—434no—
926#554—434no—
927#554—434no—
928#554—434no—
929#554—434no—
930#554—434no—
931#554—434no—
932#554—434no—
933#554—434no—
934#554—434no—
935#554—434no—
936#554—434no—
937#554—434no—
938#554C2×D4314yes—
939#553—434no—
940#553—434no—
941#553—434no—
942#553—434no—
943#553—434no—
944#553—434no—
945#553—434no—
946#553—434no—
947#553—434no—
948#553—434no—
949#553—434no—
950#553—434no—
951#553—434no—
952#553—434no—
953#553—434no—
954#553C2×D4314yes—
955#552—434no—
956#552—434no—
957#552—434no—
958#552—434no—
959#552—434no—
960#552—434no—
961#552—434no—
962#552—434no—
963#552—434no—
964#552—434no—
965#552—434no—
966#552—434no—
967#552—434no—
968#552—434no—
969#552—434no—
970#552—434no—
971#552—434no—
972#552—434no—
973#552—434no—
974#552—434no—
975#552—434no—
976#552—434no—
977#552—434no—
978#552C2×D4314yescomplemented
979#547—434no—
980#547—434no—
981#547—434no—
982#547—434no—
983#547—434no—
984#547—434no—
985#547—434no—
986#547—434no—
987#547—434no—
988#547—434no—
989#547—434no—
990#547—434no—
991#544—434no—
992#544—434no—
993#544—434no—
994#544—434no—
995#544—434no—
996#544—434no—
997#544—434no—
998#541—434no—
999#541—434no—
1000#541—434no—
1001#541—434no—
1002#541—434no—
1003#541—434no—
1004#541—434no—
1005#541—434no—
1006#541—434no—
1007#541C2×D4314yescomplemented
1008#540—434no—
1009#540—434no—
1010#539—434no—
1011#539—434no—
1012#539—434no—
1013#539—434no—
1014#539—434no—
1015#539—434no—
1016#539—434no—
1017#539—434no—
1018#539—434no—
1019#539—434no—
1020#539—434no—
1021#539—434no—
1022#539—434no—
1023#539—434no—
1024#539—434no—
1025#539—434no—
1026#539—434no—
1027#539—434no—
1028#539C2×D4314yes—
1029#539C2×D4314yescomplemented
1030#537—434no—
1031#537—434no—
1032#537—434no—
1033#533—432no—
1034#533—432no—
1035#533—434no—
1036#533—432no—
1037#533—434no—
1038#532—432no—
1039#532—432no—
1040#532—432no—
1041#529—434no—
1042#529—434no—
1043#529—434no—
1044#529—432no—
1045#529—432no—
1046#529—434no—
1047#529—434no—
1048#529—434no—
1049#529—434no—
1050#529—434no—
1051#529—432no—
1052#529C2×D4312yes—
1053C2×#125—432no—
1054C2×#125—432no—
1055C2×#125—434no—
1056C2×#125—432no—
1057C2×#125—432no—
1058C2×#125—434no—
1059C2×#125—434no—
1060C2×#125—434no—
1061C2×#125—432no—
1062C2×#125—434no—
1063C2×#125—431no—
1064C2×#125C2×D4311yescharacteristic
1065#525—434no—
1066#525—432no—
1067#525—434no—
1068#525—432no—
1069#525—434no—
1070#525—434no—
1071#525—434no—
1072#525—434no—
1073#520—434no—
1074#520—434no—
1075#520—434no—
1076#520—434no—
1077#520—434no—
1078#520—434no—
1079C4×#41—432no—
1080C4×#41—434no—
1081C4×#41—432no—
1082C4×#41—434no—
1083C22×C4⋊C4—432no—
1084C22×C4⋊C4—434no—
1085C22×C42—431no—
1086C43#6282511yescharacteristic, complemented, Sylow
1087C2×#41—432no—
1088C2×#41—434no—
1089C2×#41—434no—
1090C2×#41—432no—
1091C2×#41—434no—
1092C2×#41—434no—
1093C2×#41—434no—
1094C2×#41—434no—
1095C23×C4—431no—
1096C23×C4—434no—
1097C23×C4—432no—
1098C4⋊Q8—432no—
1099C4⋊Q8—434no—
1100C4⋊Q8—434no—
1101C4⋊Q8—434no—
1102C4⋊Q8—434no—
1103C4⋊Q8—432no—
1104C4⋊Q8—432no—
1105C4⋊Q8—434no—
1106C4⋊Q8—434no—
1107C4⋊Q8—434no—
1108C4⋊Q8—434no—
1109C4⋊Q8—434no—
1110C4⋊Q8—434no—
1111C4⋊Q8—434no—
1112C4⋊Q8C22×D4314yes—
1113#127—432no—
1114#126—434no—
1115#126—434no—
1116#126—434no—
1117#126—434no—
1118#126—434no—
1119#126—434no—
1120#126—434no—
1121#126—434no—
1122#126—434no—
1123#126—434no—
1124#126—434no—
1125#126—434no—
1126#126—434no—
1127#126—434no—
1128#126—434no—
1129#126—434no—
1130#126—434no—
1131#126—434no—
1132#126—434no—
1133#126—434no—
1134#126—434no—
1135#126—434no—
1136#126—434no—
1137#126C22×D4314yes—
1138#126C22×D4314yes—
1139#126C22×D4314yes—
1140#126C22×D4314yes—
1141#126C22×D4314yes—
1142#125—434no—
1143#125—434no—
1144#125—432no—
1145#125—432no—
1146#125—432no—
1147#125—432no—
1148#125—434no—
1149#125—434no—
1150#125—434no—
1151#125—434no—
1152#125—434no—
1153#125—434no—
1154#125—434no—
1155#125—434no—
1156#125—434no—
1157#125—434no—
1158#125—434no—
1159#125—434no—
1160#125—434no—
1161#125—434no—
1162#125—434no—
1163#125—434no—
1164#125—434no—
1165#125—434no—
1166#125—434no—
1167#125—434no—
1168#125—434no—
1169#125—434no—
1170#125—434no—
1171#125—434no—
1172#125—434no—
1173#125—434no—
1174#125—434no—
1175#125—434no—
1176#125—434no—
1177#125—434no—
1178#125—434no—
1179#125—434no—
1180#125—434no—
1181#125—434no—
1182#125—434no—
1183#125—434no—
1184#125—434no—
1185#125—434no—
1186#125—434no—
1187#125—431no—
1188#125—431no—
1189#125—432no—
1190#125—434no—
1191#125—432no—
1192#125—434no—
1193#125—434no—
1194#125C22×D4314yes—
1195#125C22×D4312yes—
1196#125C22×D4311yescharacteristic
1197#125C22×D4311yescharacteristic
1198#125C22×D4314yes—
1199#125C22×D4312yes—
1200#125C22×D4314yes—
1201#125C22×D4314yes—
1202#125C22×D4314yes—
1203#125C22×D4314yes—
1204#124—434no—
1205#124—434no—
1206#124—432no—
1207#124C22×D4312yes—
1208#123—434no—
1209#123—434no—
1210#123—434no—
1211#123—434no—
1212#123—434no—
1213#123—434no—
1214#123—434no—
1215#123—434no—
1216#123—434no—
1217#123—434no—
1218#123—434no—
1219#123—434no—
1220#123—434no—
1221#123—434no—
1222#123—434no—
1223#123—434no—
1224#123—434no—
1225#123—434no—
1226#123—434no—
1227#123—434no—
1228#123—434no—
1229#123—434no—
1230#123—434no—
1231#123—434no—
1232#123—434no—
1233#123—434no—
1234#123—434no—
1235#123—434no—
1236#123—434no—
1237#123—434no—
1238#123—434no—
1239#123—434no—
1240#123—434no—
1241#123C22×D4314yes—
1242#123C22×D4314yes—
1243#123C22×D4314yes—
1244#123C22×D4314yes—
1245#123C22×D4314yes—
1246C22⋊Q8—432no—
1247C22⋊Q8—434no—
1248C22⋊Q8—434no—
1249C22⋊Q8—434no—
1250C22⋊Q8—434no—
1251C22⋊Q8—432no—
1252C22⋊Q8—434no—
1253C22⋊Q8—434no—
1254C22⋊Q8—434no—
1255C22⋊Q8—434no—
1256C22⋊Q8—434no—
1257C22⋊Q8—432no—
1258C22⋊Q8—434no—
1259C22⋊Q8—434no—
1260C22⋊Q8—434no—
1261C22⋊Q8—434no—
1262C22⋊Q8—434no—
1263C22⋊Q8—434no—
1264C22⋊Q8—434no—
1265C22⋊Q8—434no—
1266C22⋊Q8—434no—
1267C22⋊Q8—434no—
1268C22⋊Q8—434no—
1269C22⋊Q8—434no—
1270C22⋊Q8—434no—
1271C22⋊Q8—434no—
1272C22⋊Q8—434no—
1273C22⋊Q8—434no—
1274C22⋊Q8—434no—
1275C22⋊Q8—434no—
1276C22⋊Q8—434no—
1277C22⋊Q8—434no—
1278C22⋊Q8—434no—
1279C22⋊Q8—434no—
1280C22⋊Q8—434no—
1281C22⋊Q8—434no—
1282C22⋊Q8—434no—
1283C22⋊Q8—434no—
1284C22⋊Q8—434no—
1285C22⋊Q8—434no—
1286C22⋊Q8—434no—
1287C22⋊Q8—434no—
1288C22⋊Q8—434no—
1289C22⋊Q8—434no—
1290C22⋊Q8—434no—
1291C22⋊Q8C22×D4312yes—
1292C22⋊Q8C22×D4314yes—
1293C22⋊Q8C22×D4314yes—
1294C22⋊Q8C22×D4314yes—
1295C22⋊Q8C22×D4314yes—
1296C22⋊Q8C22×D4314yes—
1297C22⋊Q8C22×D4314yes—
1298#121—432no—
1299#121—434no—
1300#121—434no—
1301#121—434no—
1302#121—434no—
1303#121—434no—
1304#121—434no—
1305#121—434no—
1306#121—434no—
1307#121—434no—
1308#121—432no—
1309#121—434no—
1310#121—434no—
1311#121—432no—
1312#121—434no—
1313#121—434no—
1314#121—434no—
1315#121—434no—
1316#121—434no—
1317#121—434no—
1318#121—434no—
1319#121—434no—
1320#121—434no—
1321#121—434no—
1322#121—434no—
1323#121C22×D4312yes—
1324#121C22×D4314yes—
1325#121C22×D4314yes—
1326#120—434no—
1327#120—434no—
1328C4×Q8—432no—
1329C4×Q8—434no—
1330C4×Q8—434no—
1331C4×Q8—434no—
1332C4×Q8—432no—
1333C4×Q8—434no—
1334C4×Q8—434no—
1335C4×Q8—434no—
1336C4×Q8—434no—
1337C4×Q8—434no—
1338C4×Q8—434no—
1339C4×Q8—432no—
1340C4×Q8—434no—
1341C4×Q8—434no—
1342C4×Q8—434no—
1343C4×Q8—434no—
1344C4×Q8—434no—
1345C4×Q8—434no—
1346C4×Q8C22×D4312yes—
1347C4×Q8C22×D4314yes—
1348C4×D4—434no—
1349C4×D4—432no—
1350C4×D4—434no—
1351C4×D4—434no—
1352C4×D4—434no—
1353C4×D4—434no—
1354C4×D4—434no—
1355C4×D4—434no—
1356C4×D4—434no—
1357C4×D4—434no—
1358C4×D4—434no—
1359C4×D4—434no—
1360C4×D4—434no—
1361C4×D4—434no—
1362C4×D4—434no—
1363C4×D4—434no—
1364C4×D4—434no—
1365C4×D4—434no—
1366C4×D4—434no—
1367C4×D4—432no—
1368C4×D4—434no—
1369C4×D4—434no—
1370C4×D4—434no—
1371C4×D4—434no—
1372C4×D4—434no—
1373C4×D4—434no—
1374C4×D4—434no—
1375C4×D4—434no—
1376C4×D4—434no—
1377C4×D4—434no—
1378C4×D4—434no—
1379C4×D4—434no—
1380C4×D4—434no—
1381C4×D4—434no—
1382C4×D4—434no—
1383C4×D4—434no—
1384C4×D4—434no—
1385C4×D4—434no—
1386C4×D4—434no—
1387C4×D4—432no—
1388C4×D4—434no—
1389C4×D4—434no—
1390C4×D4—434no—
1391C4×D4C22×D4314yes—
1392C4×D4C22×D4312yes—
1393C4×D4C22×D4314yes—
1394C4×D4C22×D4314yes—
1395C4×D4C22×D4314yes—
1396#117—434no—
1397#117—432no—
1398#117—432no—
1399#117—434no—
1400#117—434no—
1401#117—434no—
1402#117—434no—
1403#117—434no—
1404#117—434no—
1405#117—434no—
1406#117—434no—
1407#117—434no—
1408#117—434no—
1409#117—434no—
1410#117—434no—
1411#117—434no—
1412#117—434no—
1413#117—434no—
1414#117—434no—
1415#117—434no—
1416#117—434no—
1417#117—434no—
1418#117—434no—
1419#117—434no—
1420#117C22×D4314yes—
1421#117C22×D4314yes—
1422C2×C4⋊C4—434no—
1423C2×C4⋊C4—432no—
1424C2×C4⋊C4—434no—
1425C2×C4⋊C4—434no—
1426C2×C4⋊C4—434no—
1427C2×C4⋊C4—434no—
1428C2×C4⋊C4—434no—
1429C2×C4⋊C4—434no—
1430C2×C4⋊C4—434no—
1431C2×C4⋊C4—434no—
1432C2×C4⋊C4—434no—
1433C2×C4⋊C4—434no—
1434C2×C4⋊C4—434no—
1435C2×C4⋊C4—434no—
1436C2×C4⋊C4—432no—
1437C2×C4⋊C4—434no—
1438C2×C4⋊C4—432no—
1439C2×C4⋊C4—434no—
1440C2×C4⋊C4—434no—
1441C2×C4⋊C4—434no—
1442C2×C4⋊C4—434no—
1443C2×C4⋊C4—432no—
1444C2×C4⋊C4—434no—
1445C2×C4⋊C4—432no—
1446C2×C4⋊C4—434no—
1447C2×C4⋊C4—434no—
1448C2×C4⋊C4—434no—
1449C2×C4⋊C4—434no—
1450C2×C4⋊C4—434no—
1451C2×C4⋊C4—434no—
1452C2×C4⋊C4C22×D4312yes—
1453C2×C4⋊C4C22×D4314yes—
1454C2×C4⋊C4C22×D4314yes—
1455C2×C42—434no—
1456C2×C42—432no—
1457C2×C42—431no—
1458C2×C42—434no—
1459C2×C42—432no—
1460C2×C42—432no—
1461C2×C42—432no—
1462C2×C42—432no—
1463C2×C42C22×D4311yescharacteristic
1464C24—431no—
1465#41—8616no—
1466#41—1728no—
1467#41—1728no—
1468#41—1728no—
1469#41—1724no—
1470#41—1728no—
1471#41—1724no—
1472#41—1728no—
1473C2×Q8—434no—
1474C2×Q8—434no—
1475C2×Q8—434no—
1476C2×Q8—434no—
1477C2×Q8—432no—
1478C2×Q8—434no—
1479C2×Q8C23×D4314yes—
1480C2×Q8C23×D4312yes—
1481C2×D4—434no—
1482C2×D4—434no—
1483C2×D4—434no—
1484C2×D4—434no—
1485C2×D4—434no—
1486C2×D4—434no—
1487C2×D4—434no—
1488C2×D4—434no—
1489C2×D4—434no—
1490C2×D4—434no—
1491C2×D4—432no—
1492C2×D4C23×D4314yes—
1493C2×D4C23×D4314yes—
1494C2×D4C23×D4312yes—
1495C22×C4—431no—
1496C22×C4—434no—
1497C22×C4—432no—
1498C22×C4—434no—
1499C22×C4—434no—
1500C22×C4—434no—
1501C22×C4—434no—
1502C22×C4—432no—
1503C22×C4—432no—
1504C22×C4—432no—
1505C22×C4—432no—
1506C22×C4—434no—
1507C22×C4—434no—
1508C22×C4—434no—
1509C22×C4—432no—
1510C22×C4—432no—
1511C22×C4—434no—
1512C22×C4—434no—
1513C22×C4—434no—
1514C22×C4—434no—
1515C22×C4—434no—
1516C22×C4—434no—
1517C22×C4—434no—
1518C22×C4—434no—
1519C22×C4—864no—
1520C22×C4—1728no—
1521C22×C4—1724no—
1522C22×C4C23×D4311yescharacteristic
1523C22×C4C23×D4312yes—
1524C22×C4C23×D4314yes—
1525C22×C4C23×D4314yes—
1526C22×C4C23×D4314yes—
1527C22×C4C23×D4314yes—
1528C4⋊C4—434no—
1529C4⋊C4—434no—
1530C4⋊C4—434no—
1531C4⋊C4—434no—
1532C4⋊C4—434no—
1533C4⋊C4—434no—
1534C4⋊C4—434no—
1535C4⋊C4—434no—
1536C4⋊C4—434no—
1537C4⋊C4—434no—
1538C4⋊C4—434no—
1539C4⋊C4—434no—
1540C4⋊C4—434no—
1541C4⋊C4—434no—
1542C4⋊C4—434no—
1543C4⋊C4—434no—
1544C4⋊C4—432no—
1545C4⋊C4—434no—
1546C4⋊C4—432no—
1547C4⋊C4—434no—
1548C4⋊C4—434no—
1549C4⋊C4—434no—
1550C4⋊C4—434no—
1551C4⋊C4—434no—
1552C4⋊C4—434no—
1553C4⋊C4—434no—
1554C4⋊C4—434no—
1555C4⋊C4—434no—
1556C4⋊C4—434no—
1557C4⋊C4—434no—
1558C4⋊C4—434no—
1559C4⋊C4—434no—
1560C4⋊C4—434no—
1561C4⋊C4—434no—
1562C4⋊C4—434no—
1563C4⋊C4—434no—
1564C4⋊C4—434no—
1565C4⋊C4—434no—
1566C4⋊C4—434no—
1567C4⋊C4—434no—
1568C4⋊C4—434no—
1569C4⋊C4—434no—
1570C4⋊C4—434no—
1571C4⋊C4—432no—
1572C4⋊C4—434no—
1573C4⋊C4—432no—
1574C4⋊C4—434no—
1575C4⋊C4—434no—
1576C4⋊C4—434no—
1577C4⋊C4—434no—
1578C4⋊C4—434no—
1579C4⋊C4C23×D4314yes—
1580C4⋊C4C23×D4314yes—
1581C4⋊C4C23×D4314yes—
1582C4⋊C4C23×D4314yes—
1583C4⋊C4C23×D4312yes—
1584C4⋊C4C23×D4314yes—
1585C4⋊C4C23×D4312yes—
1586C4⋊C4C23×D4314yes—
1587C4⋊C4C23×D4314yes—
1588C4⋊C4C23×D4314yes—
1589C4⋊C4C23×D4314yes—
1590C4⋊C4C23×D4314yes—
1591C4⋊C4C23×D4314yes—
1592C4⋊C4C23×D4314yes—
1593C4⋊C4C23×D4312yes—
1594C4⋊C4C23×D4314yes—
1595C4⋊C4C23×D4312yes—
1596C4⋊C4C23×D4314yes—
1597C4⋊C4C23×D4314yes—
1598C22⋊C4—434no—
1599C22⋊C4—434no—
1600C22⋊C4—434no—
1601C22⋊C4—434no—
1602C22⋊C4—434no—
1603C22⋊C4—434no—
1604C22⋊C4—434no—
1605C22⋊C4—434no—
1606C22⋊C4—434no—
1607C22⋊C4—434no—
1608C22⋊C4—434no—
1609C22⋊C4—434no—
1610C22⋊C4—434no—
1611C22⋊C4—434no—
1612C22⋊C4—434no—
1613C22⋊C4—434no—
1614C22⋊C4—434no—
1615C22⋊C4—434no—
1616C22⋊C4—434no—
1617C22⋊C4—434no—
1618C22⋊C4—434no—
1619C22⋊C4—434no—
1620C22⋊C4—434no—
1621C22⋊C4—434no—
1622C22⋊C4—434no—
1623C22⋊C4C23×D4314yes—
1624C22⋊C4C23×D4314yes—
1625C22⋊C4C23×D4314yes—
1626C22⋊C4C23×D4314yes—
1627C22⋊C4C23×D4314yes—
1628C22⋊C4C23×D4314yes—
1629C22⋊C4C23×D4314yes—
1630C22⋊C4C23×D4314yes—
1631C22⋊C4C23×D4314yes—
1632C42—432no—
1633C42—431no—
1634C42—432no—
1635C42—432no—
1636C42—432no—
1637C42—432no—
1638C42—431no—
1639C42—434no—
1640C42—434no—
1641C42—434no—
1642C42—434no—
1643C42—434no—
1644C42—434no—
1645C42—434no—
1646C42—434no—
1647C42—434no—
1648C42—434no—
1649C42—434no—
1650C42C23×D4311yescharacteristic
1651C42C23×D4312yes—
1652C42C23×D4311yescharacteristic
1653C42C23×D4314yes—
1654C42C23×D4314yes—
1655C42C23×D4314yes—
1656C23—432no—
1657C23—434no—
1658C23—864no—
1659C23—862no—
1660C23C24×D4314yes—
1661C23C24×D4311yescharacteristic
1662Q8—44no—
1663Q8—42no—
1664Q8—868no—
1665Q8—1724no—
1666Q8—1724no—
1667Q8—1724no—
1668Q8—1722no—
1669Q8—1724no—
1670D4—28no—
1671D4—44no—
1672D4—42no—
1673D4—868no—
1674D4—868no—
1675D4—868no—
1676D4—868no—
1677D4—868no—
1678D4—868no—
1679D4—1724no—
1680D4—1722no—
1681D4—1724no—
1682D4—1724no—
1683D4—1724no—
1684C2×C4—22no—
1685C2×C4—42no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—44no—
1689C2×C4—44no—
1690C2×C4—434no—
1691C2×C4—432no—
1692C2×C4—432no—
1693C2×C4—434no—
1694C2×C4—434no—
1695C2×C4—434no—
1696C2×C4—432no—
1697C2×C4—434no—
1698C2×C4—434no—
1699C2×C4—864no—
1700C2×C4—864no—
1701C2×C4—868no—
1702C2×C4—864no—
1703C2×C4—868no—
1704C2×C4—868no—
1705C2×C4—864no—
1706C2×C4—868no—
1707C2×C4—1722no—
1708C2×C4—1724no—
1709C2×C4—1724no—
1710C2×C4—1722no—
1711C2×C4—1724no—
1712C2×C4—1724no—
1713C2×C4—1724no—
1714C2×C4—1724no—
1715C2×C4—1724no—
1716C2×C4—1724no—
1717C2×C4—1722no—
1718C2×C4—1724no—
1719C2×C4—1724no—
1720C2×C4—1724no—
1721C2×C4—1724no—
1722C2×C4C24×D4312yes—
1723C2×C4C24×D4314yes—
1724C2×C4C24×D4314yes—
1725C2×C4C24×D4311yescharacteristic
1726C2×C4C24×D4311yescharacteristic
1727C2×C4C24×D4314yes—
1728C2×C4C24×D4312yes—
1729C2×C4C24×D4314yes—
1730C2×C4C24×D4314yes—
1731C22—22no—
1732C22—24no—
1733C22—24no—
1734C22—24no—
1735C22—434no—
1736C22—868no—
1737C22—862no—
1738C22—862no—
1739C22—864no—
1740C22—864no—
1741C22—864no—
1742C222−1+4×D4312yes—
1743C22C25×D4311yescharacteristic
1744C4—21no—
1745C4—21no—
1746C4—24no—
1747C4—22no—
1748C4—24no—
1749C4—24no—
1750C4—24no—
1751C4—22no—
1752C4—24no—
1753C4—434no—
1754C4—864no—
1755C4—862no—
1756C4—864no—
1757C4—864no—
1758C4—862no—
1759C4—864no—
1760C4—864no—
1761C2—22no—
1762C2—44no—
1763C2—864no—
1764C2—1724no—
1765C2C2×2−1+4×D4311yescharacteristic
1766C2#585×D4312yes—
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3553C2
hypercenter#3553D43
hypocenterC43#62825
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3553

Complements

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

NH ≅ G/Ntype
1. #19149204C2semidirect
2. #19149195C2semidirect
3. #19149193C2semidirect
4. #19149132C2semidirect
5. #19149123C2semidirect
6. #19149121C2semidirect
7. #19149051C2semidirect
8. #19149048C2semidirect
9. #19149045C2semidirect
10. #19148571C2semidirect
11. #19148569C2semidirect
12. #19148565C2semidirect
13. #19148562C2semidirect
14. #19148511C2semidirect
15. #19148415C2semidirect
16. #19148303C2semidirect
17. #19148300C2semidirect
18. #19148299C2semidirect
19. #19147889C2semidirect
20. C2×#125×D43C2semidirect
21. C43×#3553C2semidirect
22. C43⋊#564C22semidirect
23. C43⋊#564C22semidirect
24. C43⋊#564C22semidirect
25. #14583653C22semidirect
26. #14583653C22semidirect
27. #14583651C22semidirect
28. #14583650C22semidirect
29. #14583649C22semidirect
30. #14583647C22semidirect
31. #14583646C22semidirect
32. #14583643C22semidirect
33. #14583627C22semidirect
34. #14583626C22semidirect
35. #14583626C22semidirect
36. #14583624C22semidirect
40. #14583607C22semidirect
45. #14583604C22semidirect
50. #14583603C22semidirect
51. #14583603C22semidirect
55. #14583600C22semidirect
58. #14583598C22semidirect
63. #14583594C22semidirect
66. #14583592C22semidirect
67. #14583591C22semidirect
70. #14583588C22semidirect
72. #14583587C22semidirect
73. #14583586C22semidirect
74. #14583586C22semidirect
79. #14583585C22semidirect
80. #14583585C22semidirect
82. #14583582C22semidirect
83. #14583582C22semidirect
88. #14583581C22semidirect
89. #14583581C22semidirect
103. #14583529C22semidirect
105. #14583528C22semidirect
106. #14583528C22semidirect
108. #14583526C22semidirect
109. #14583512C22semidirect
110. #14583509C22semidirect
111. #14583508C22semidirect
112. #14583508C22semidirect
113. #14583508C22semidirect
114. #14583507C22semidirect
115. #14583506C22semidirect
116. #14583506C22semidirect
117. #14583506C22semidirect
118. #14583501C22semidirect
119. #14583499C22semidirect
120. #14583498C22semidirect
123. #14583497C22semidirect
129. #14583493C22semidirect
132. #14583492C22semidirect
133. #14583491C22semidirect
136. #14583490C22semidirect
137. #14583490C22semidirect
143. #14583453C22semidirect
145. #14583451C22semidirect
153. #14583432C22semidirect
154. #14583429C22semidirect
157. #14583427C22semidirect
159. #14583426C22semidirect
163. C2×#13063315C22semidirect
170. #125×D43C22semidirect
192. C43×#564C22semidirect
193. C43×#563C22semidirect
194. C43×#562C22semidirect
197. C43×#552C22semidirect
198. C43×#541C22semidirect
200. C43×#539C22semidirect
887. #3553D43semidirect
908. #564C2×D43semidirect
914. #563C2×D43semidirect
918. #562C2×D43semidirect
978. #552C2×D43semidirect
1007. #541C2×D43semidirect
1029. #539C2×D43semidirect
1086. C43#62825semidirect

Maximal subgroups

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

subgroupindex
#191492042
#191491952
#191491932
#191491322
#191491232
#191491212
#191490512
#191490482
#191490452
#191485712
#191485692
#191485652
#191485622
#191485112
#191484152
#191483032
#191483002
#191482992
#191478892
C2×#125×D432
C43×#35532
#6282543