Finite Group Databasebeta

← #25979650

Subgroups — #25979650

Order 11008.

1788 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148705C211yesmaximal, characteristic, complemented
2#19148693C211yesmaximal, characteristic, complemented
3#19147680C211yesmaximal, characteristic, complemented
4#19147563C211yesmaximal, characteristic, complemented
5#19147295C211yesmaximal, characteristic, complemented
6#19147286C211yesmaximal, characteristic, complemented
7#19147196C211yesmaximal, characteristic, complemented
8#19147116C211yesmaximal, characteristic, complemented
9#19147112C211yesmaximal, characteristic, complemented
10#19146545C211yesmaximal, characteristic, complemented
11#19146538C211yesmaximal, characteristic, complemented
12#19146501C211yesmaximal, characteristic, complemented
13#19146490C211yesmaximal, characteristic, complemented
14#19146482C211yesmaximal, characteristic, complemented
15#19146475C211yesmaximal, characteristic, complemented
16#19146246C211yesmaximal, characteristic, complemented
17#19146180C211yesmaximal, characteristic, complemented
18#19145279C211yesmaximal, characteristic, complemented
19#19145275C211yesmaximal, characteristic, complemented
20#19145158C211yesmaximal, characteristic, complemented
21#19144821C211yesmaximal, characteristic, complemented
22#19144817C211yesmaximal, characteristic, complemented
23#19144795C211yesmaximal, characteristic, complemented
24#19144793C211yesmaximal, characteristic, complemented
25#19144705C211yesmaximal, characteristic, complemented
26#19144697C211yesmaximal, characteristic, complemented
27#19143565C211yesmaximal, characteristic, complemented
28#19143439C211yesmaximal, characteristic, complemented
29#19143437C211yesmaximal, characteristic, complemented
30#135×Dic43C211yesmaximal, characteristic, complemented
31C43×#3271C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33#14583635—21no—
34#14583635C2211yescharacteristic
35#14583631—21no—
36#14583631C2211yescharacteristic
37#14583628C2211yescharacteristic
38#14583625C2211yescharacteristic
39#14583614—21no—
40#14583614C2211yescharacteristic
41#14583613—21no—
42#14583613C2211yescharacteristic
43#14583601—21no—
44#14583601C2211yescharacteristic
45#14583596—21no—
46#14583596C2211yescharacteristic
47#14583589—21no—
48#14583589C2211yescharacteristic
49#14583583—21no—
50#14583583C2211yescharacteristic
51#14583568C2211yescharacteristic
52#14583560C2211yescharacteristic
53#14583556C2211yescharacteristic
54#14583556C2211yescharacteristic
55#14583518—21no—
56#14583518C2211yescharacteristic
57#14583516—21no—
58#14583516C2211yescharacteristic
59#14583503—21no—
60#14583503C2211yescharacteristic
61#14583502—21no—
62#14583502C2211yescharacteristic
63#14583435—21no—
64#14583435C2211yescharacteristic
65#14583430—21no—
66#14583430C2211yescharacteristic
67#14583429—21no—
68#14583429—21no—
69#14583429C2211yescharacteristic
70#14583382C2211yescharacteristic
71#14583381C2211yescharacteristic
72#14583377C2211yescharacteristic
73#14583375C2211yescharacteristic
74#41×Dic43C2211yescharacteristic
75#41×Dic43C2211yescharacteristic
76#14583308C2211yescharacteristic
77#14583306C2211yescharacteristic
78#14583299C2211yescharacteristic
79#14583287C2211yescharacteristic
80#14583280C2211yescharacteristic
81#14583255C2211yescharacteristic
82#14583253C2211yescharacteristic
83#14583252C2211yescharacteristic
84#14583252C2211yescharacteristic
85#14583245C2211yescharacteristic
86#14583244C2211yescharacteristic
87#14583241C2211yescharacteristic
88#14583241C2211yescharacteristic
89#14583238C2211yescharacteristic
90#14583237C2211yescharacteristic
91#14583224C2211yescharacteristic
92#14583222C2211yescharacteristic
93#14583220C2211yescharacteristic
94#14583220C2211yescharacteristic
95#14583218C2211yescharacteristic
96#14583216C2211yescharacteristic
97#14583211C2211yescharacteristic
98#14583210C2211yescharacteristic
99#14583208C2211yescharacteristic
100#14583206C2211yescharacteristic
101#14583204C2211yescharacteristic
102#14583204C2211yescharacteristic
103#14583201C2211yescharacteristic
104#14583201C2211yescharacteristic
105#14583200C2211yescharacteristic
106#14583197C2211yescharacteristic
107#14583194C2211yescharacteristic
108#14583192C2211yescharacteristic
109#14583185C2211yescharacteristic
110#14583182C2211yescharacteristic
111#14583149C2211yescharacteristic
112#14583145C2211yescharacteristic
113#14583142C2211yescharacteristic
114#14583138C2211yescharacteristic
115#14583133C2211yescharacteristic
116#14583133C2211yescharacteristic
117#14583132C2211yescharacteristic
118#14583128C2211yescharacteristic
119#14583126C2211yescharacteristic
120#14583125C2211yescharacteristic
121#14583123C2211yescharacteristic
122#14583119C2211yescharacteristic
123#14583119C2211yescharacteristic
124#14583119C2211yescharacteristic
125#14583118C2211yescharacteristic
126#14583116C2211yescharacteristic
127#14583112C2211yescharacteristic
128#14583097C2211yescharacteristic
129#14583092C2211yescharacteristic
130#14583091C2211yescharacteristic
131#14583061C2211yescharacteristic
132#14583055C2211yescharacteristic
133#14583053C2211yescharacteristic
134#14583044C2211yescharacteristic
135#14583044C2211yescharacteristic
136#14583043C2211yescharacteristic
137#14583043C2211yescharacteristic
138#14583036C2211yescharacteristic
139#14583027C2211yescharacteristic
140#14583023C2211yescharacteristic
141#14583011C2211yescharacteristic
142#14583008C2211yescharacteristic
143#14583006C2211yescharacteristic
144#14583006C2211yescharacteristic
145#14583003C2211yescharacteristic
146#14583002C2211yescharacteristic
147#14583001C2211yescharacteristic
148#14583000C2211yescharacteristic
149#14583000C2211yescharacteristic
150#14583000C2211yescharacteristic
151#14582996C2211yescharacteristic
152Q16×Dic43C2211yescharacteristic
153Q16×Dic43C2211yescharacteristic
154Q16×Dic43C2211yescharacteristic
155C4×#10621885C2211yescharacteristic
156#14582991C2211yescharacteristic
157SD16×Dic43C2211yescharacteristic
158SD16×Dic43C2211yescharacteristic
159SD16×Dic43C2211yescharacteristic
160SD16×Dic43C2211yescharacteristic
161SD16×Dic43C2211yescharacteristic
162SD16×Dic43C2211yescharacteristic
163C4×#10621884C2211yescharacteristic
164#14582986C2211yescharacteristic
165D8×Dic43C2211yescharacteristic
166D8×Dic43C2211yescharacteristic
167#14582979C2211yescharacteristic
168#14582975C2211yescharacteristic
169#14582970C2211yescharacteristic
170D4×C43⋊C8C2211yescharacteristic
171(C22⋊D43)⋊C8C2211yescharacteristic
172(C22⋊D43)⋊C8C2211yescharacteristic
173#14582959C2211yescharacteristic
174#14582957C2211yescharacteristic
175#14582953C2211yescharacteristic
176#14582941C2211yescharacteristic
177#14582938C2211yescharacteristic
178#14582937C2211yescharacteristic
179#14582895C2211yescharacteristic
180#14582895C2211yescharacteristic
181#14582895C2211yescharacteristic
182#14582894C2211yescharacteristic
183C2×#13063249C2211yescharacteristic
184#103×D43C2211yescharacteristic
185#14582857C2211yescharacteristic
186#14582856C2211yescharacteristic
187C2×C8×Dic43C2211yescharacteristic
188C2×#137×C43C2211yescharacteristic
189C2×#135×C43C2211yescharacteristic
190C43×#550C2211yescharacteristic
191C43×#548C2211yescharacteristic
192C43×#496C2211yescharacteristic
193C43×#469C2211yescharacteristic
194C43×#465C2211yescharacteristic
195C43×#464C2211yescharacteristic
196C43×#460C2211yescharacteristic
197C43×#452C2211yescharacteristic
198C43×#449C2211yescharacteristic
199C43×#449C2211yescharacteristic
200C43×#448C2211yescharacteristic
201C43×#441C2211yescharacteristic
202C43×#435C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×Q8×D43C2311yescharacteristic
205#13063357—24no—
206C2×#10621885C2311yescharacteristic
207C2×#10621885C2311yescharacteristic
208C2×#10621873C2311yescharacteristic
209C2×#10621883C2311yescharacteristic
210C2×#10621884C2311yescharacteristic
211C2×#10621882C2311yescharacteristic
212C2×#10621882C2311yescharacteristic
213C2×#10621872C2311yescharacteristic
214C22×C43⋊C8C2311yescharacteristic
215C22×C43⋊C8C2311yescharacteristic
216C2×C8×D43C2311yescharacteristic
217#13063325—21no—
218#13063325C2311yescharacteristic
219#13063324—21no—
220#13063324C2311yescharacteristic
221#13063321—21no—
222#13063321C2311yescharacteristic
223#13063320—21no—
224#13063320D411yescharacteristic
225#13063318—21no—
226#13063318—21no—
227#13063318—21no—
228#13063318—21no—
229#13063318—21no—
230#13063318—21no—
231#13063318—21no—
232#13063318D411yescharacteristic
233#13063317—21no—
234#13063317C2311yescharacteristic
235#13063316—21no—
236#13063316—21no—
237#13063316—21no—
238#13063316C2311yescharacteristic
239#13063316C2311yescharacteristic
240#13063316C2311yescharacteristic
241#13063315—21no—
242#13063315—21no—
243#13063315D411yescharacteristic
244#13063314—21no—
245#13063314C2311yescharacteristic
246#13063312—21no—
247#13063312—21no—
248#13063312—21no—
249#13063312—21no—
250#13063312—21no—
251#13063312C2311yescharacteristic
252#13063312C2311yescharacteristic
253#13063311—21no—
254#13063311—21no—
255#13063311—21no—
256#13063311—21no—
257#13063311—21no—
258#13063311D411yescharacteristic
259#13063309—21no—
260#13063309—21no—
261#13063309—21no—
262#13063309—21no—
263#13063309—21no—
264#13063309D411yescharacteristic
265#13063307—21no—
266#13063307—21no—
267#13063307—21no—
268#13063306—21no—
269#13063306—21no—
270#13063306—21no—
271#13063306—21no—
272#13063306—21no—
273#13063306—21no—
274#13063306—21no—
275#13063306—21no—
276#13063306D411yescharacteristic
277#13063304—21no—
278#13063304—21no—
279#13063304C2311yescharacteristic
280#13063304C2311yescharacteristic
281#13063302—21no—
282#13063302—21no—
283#13063302D411yescharacteristic
284#13063301—21no—
285#13063301C2311yescharacteristic
286#13063299—21no—
287#13063299—21no—
288#13063299C2311yescharacteristic
289#13063299C2311yescharacteristic
290#13063297—21no—
291#13063297—21no—
292#13063297—21no—
293#13063297—21no—
294#13063297—21no—
295#13063297D411yescharacteristic
296#13063296—21no—
297#13063296—21no—
298#13063296—21no—
299#13063296—21no—
300#13063296—21no—
301#13063296—21no—
302#13063296C2311yescharacteristic
303#13063296C2311yescharacteristic
304#13063296C2311yescharacteristic
305Q8×Dic43—21no—
306Q8×Dic43—21no—
307Q8×Dic43C2311yescharacteristic
308Q8×Dic43C2311yescharacteristic
309Q8×Dic43C2311yescharacteristic
310Q8×Dic43C2311yescharacteristic
311Q8×Dic43C2311yescharacteristic
312Q8×Dic43C2311yescharacteristic
313Q8×Dic43C2311yescharacteristic
314Q8×Dic43C2311yescharacteristic
315C4×Dic86—21no—
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86C2311yescharacteristic
319C4×Dic86C2311yescharacteristic
320#13063290—21no—
321#13063290C2311yescharacteristic
322C4×D172—21no—
323C4×D172C2311yescharacteristic
324D4×Dic43—21no—
325D4×Dic43—21no—
326D4×Dic43—21no—
327D4×Dic43—21no—
328D4×Dic43—21no—
329D4×Dic43—21no—
330D4×Dic43—21no—
331D4×Dic43—21no—
332D4×Dic43—21no—
333D4×Dic43C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339#13063287—21no—
340#13063287C2311yescharacteristic
341C4×C22⋊D43—21no—
342C4×C22⋊D43—21no—
343C4×C22⋊D43—21no—
344C4×C22⋊D43—21no—
345C4×C22⋊D43C2311yescharacteristic
346C4×C22⋊D43C2311yescharacteristic
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350#13063284—21no—
351#13063284—21no—
352#13063284—21no—
353#13063284—21no—
354#13063284—21no—
355#13063284C2311yescharacteristic
356#13063284C2311yescharacteristic
357#13063284C2311yescharacteristic
358#13063284C2311yescharacteristic
359#13063283—21no—
360#13063283—21no—
361#13063283—21no—
362#13063283—21no—
363#13063283C2311yescharacteristic
364#13063282—21no—
365#13063282—21no—
366#13063282C2311yescharacteristic
367#13063281—21no—
368#13063281—21no—
369#13063281—21no—
370C2×C4⋊Dic43—21no—
371C2×C4⋊Dic43C2311yescharacteristic
372C4⋊C4×D43—21no—
373C4⋊C4×D43C2311yescharacteristic
374C2×C4×Dic43—21no—
375C2×C4×Dic43—21no—
376C2×C4×Dic43C2311yescharacteristic
377#13063259C2311yescharacteristic
378#13063259C2311yescharacteristic
379#13063259C2311yescharacteristic
380#13063259C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063257C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397#13063250C2311yescharacteristic
398#13063250C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427#13063235C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430C4×C43⋊C8C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C2×#41×C43C2311yescharacteristic
437C2×#41×C43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C22×Q8×C43C2311yescharacteristic
440#137×C43—24no—
441#135×C43—24no—
442C2×Q16×C43C2311yescharacteristic
443C2×Q16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C2×SD16×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×D8×C43C2311yescharacteristic
450C2×D8×C43C2311yescharacteristic
451C2×M16×C43C2311yescharacteristic
452C22×C8×C43C2311yescharacteristic
453#127×C43—21no—
454#127×C43C2311yescharacteristic
455#124×C43—21no—
456#124×C43C2311yescharacteristic
457C22⋊Q8×C43—21no—
458C22⋊Q8×C43C2311yescharacteristic
459#121×C43—21no—
460#121×C43—21no—
461#121×C43—21no—
462#121×C43C2311yescharacteristic
463#121×C43C2311yescharacteristic
464#121×C43C2311yescharacteristic
465C4×Q8×C43C2311yescharacteristic
466C4×Q8×C43C2311yescharacteristic
467C4×D4×C43—21no—
468C4×D4×C43—21no—
469C4×D4×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481#41×C43—22no—
482#41×C43—22no—
483#41×C43—22no—
484#41×C43—41no—
485#41×C43—41no—
486#41×C43—41no—
487C2×Q8×C43—21no—
488C2×Q8×C43—22no—
489C2×Q8×C43—41no—
490C2×Q8×C43C2411yescharacteristic
491C2×Q8×C43C2411yescharacteristic
492C2×Q8×C43C2411yescharacteristic
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43C2×D411yescharacteristic
502C2×D4×C43C2411yescharacteristic
503C2×D4×C43C2411yescharacteristic
504C2×D4×C43C2411yescharacteristic
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43C2411yescharacteristic
510C22×C4×C43C2411yescharacteristic
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43C2×D411yescharacteristic
519C2×C22⋊D43C2×D411yescharacteristic
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43C2×D411yescharacteristic
528C22×Dic43C2×D411yescharacteristic
529#10621902—22no—
530#10621902—41no—
531Q8×D43—22no—
532Q8×D43—41no—
533C2×D172—21no—
534C2×D172C2411yescharacteristic
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43C2411yescharacteristic
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86C2×D411yescharacteristic
545C2×Dic86C2411yescharacteristic
546Q16×C43—22no—
547Q16×C43#4114yes—
548SD16×C43—22no—
549SD16×C43—22no—
550SD16×C43—22no—
551SD16×C43—22no—
552SD16×C43—41no—
553D8×C43—22no—
554D8×C43—41no—
555M16×C43—22no—
556C2×C8×C43—22no—
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C2×C8×C43C2411yescharacteristic
560C2×C8×C43C2411yescharacteristic
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43C2×D411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43C2×D411yescharacteristic
574C22⋊C4×C43C2×D411yescharacteristic
575C42×C43—21no—
576C42×C43—21no—
577C42×C43C2411yescharacteristic
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43C2×D411yescharacteristic
597C22⋊Dic43C2×D411yescharacteristic
598C22⋊Dic43C2×D411yescharacteristic
599C22⋊Dic43C2×D411yescharacteristic
600#10621885—22no—
601#10621885—41no—
602#10621884—22no—
603#10621883—41no—
604#10621882—41no—
605#10621882—41no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4C2×D411yescharacteristic
615(C2×D43)⋊C4C2×D411yescharacteristic
616(C2×D43)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43C2×D411yescharacteristic
632C4⋊Dic43C2×D411yescharacteristic
633C4⋊Dic43C2×D411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43C2×D411yescharacteristic
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C2×C43⋊C8—41no—
678C2×C43⋊C8—41no—
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683#10621873—22no—
684#10621872—22no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43—21no—
689C23×C43C22×D411yescharacteristic
690C23×C43C22×D411yescharacteristic
691C22×D43—21no—
692C22×D43C22×D411yescharacteristic
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—21no—
696Q8×C43—21no—
697Q8×C43—42no—
698Q8×C43C2×#4112yes—
699Q8×C43C2×#4112yes—
700D4×C43—21no—
701D4×C43—21no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—41no—
707D4×C43—42no—
708D4×C43—42no—
709D4×C43—42no—
710D4×C43—81no—
711D4×C43—81no—
712D4×C43—81no—
713D4×C43—81no—
714D4×C43—81no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—42no—
725C2×C4×C43—42no—
726C2×C4×C43—42no—
727C2×C4×C43—42no—
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C2511yescharacteristic
733C22⋊D43—41no—
734C22⋊D43—41no—
735C22⋊D43—81no—
736C22⋊D43—81no—
737C22⋊D43—81no—
738C22⋊D43—81no—
739C22⋊D43—81no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—41no—
750C2×Dic43—41no—
751C2×Dic43—81no—
752C2×Dic43—81no—
753C2×Dic43—81no—
754C2×Dic43—81no—
755C2×Dic43—81no—
756C2×Dic43—81no—
757C2×Dic43—81no—
758C2×Dic43C22×D411yescharacteristic
759C2×Dic43C22×D411yescharacteristic
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765D172—21no—
766D172—21no—
767D172—42no—
768C4×D43—21no—
769C4×D43—21no—
770C4×D43—42no—
771C4×D43—42no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775Dic86—21no—
776Dic86—21no—
777Dic86—41no—
778Dic86—42no—
779Dic86—81no—
780Dic86—81no—
781C8×C43—21no—
782C8×C43—21no—
783C8×C43—21no—
784C8×C43C2×#4112yes—
785C43⋊C8—21no—
786C43⋊C8—21no—
787C43⋊C8—21no—
788C43⋊C8—21no—
789#61502—431nomaximal, Sylow
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—21no—
794C22×C43—21no—
795C22×C43—21no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43—41no—
799C22×C43—41no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43C23×D411yescharacteristic
806C2×D43—21no—
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C4×C43—21no—
813C4×C43—21no—
814C4×C43—22no—
815C4×C43—22no—
816C4×C43—21no—
817C4×C43—21no—
818C4×C43—41no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43C22×#4111yescharacteristic
822C4×C43#58511yescharacteristic
823Dic43—21no—
824Dic43—21no—
825Dic43—21no—
826Dic43—21no—
827Dic43—21no—
828Dic43—21no—
829Dic43—21no—
830Dic43—41no—
831Dic43—41no—
832Dic43—41no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837#3524—431no—
838#3524—431no—
839#3403—431no—
840#3390—431no—
841#3365—431no—
842#3365—431no—
843#3355—431no—
844#3348—431no—
845#3348—431no—
846#3305—431no—
847#3305—431no—
848#3301—431no—
849#3301—431no—
850#3300—431no—
851#3300—431no—
852#3277—431no—
853#3271—431no—
854#3271D4311yescharacteristic, complemented
855#3179—431no—
856#3179—431no—
857#3168—431no—
858#3121—431no—
859#3121—431no—
860#3119—431no—
861#3119—431no—
862#3111—431no—
863#3111—431no—
864#2966—431no—
865#2947—431no—
866#2947—431no—
867C4×#135—431no—
868C2×C43—41no—
869C2×C43—41no—
870C2×C43—81no—
871C2×C43—81no—
872C2×C43—81no—
873C2×C43D4×#4111yescharacteristic
874C2×C43#358411yescharacteristic
875C2×C43#358411yescharacteristic
876D43—41no—
877D43—81no—
878C2×#137—431no—
879C2×#137C2×D4311yescharacteristic
880C2×#135C2×D4311yescharacteristic
881#559—431no—
882#559—431no—
883#559—861no—
884#559—861no—
885#557—431no—
886#557—431no—
887#555—431no—
888#555—431no—
889#555—861no—
890#555—861no—
891#553—431no—
892#553—431no—
893#553—861no—
894#553—861no—
895#552—431no—
896#552—431no—
897#552—861no—
898#552—861no—
899#550—431no—
900#550C2×D4311yescharacteristic
901#548—431no—
902#548—431no—
903#548—431no—
904#548C2×D4311yescharacteristic
905#542—431no—
906#542—431no—
907#542—861no—
908#542—861no—
909#540—431no—
910#540—431no—
911#540—861no—
912#540—861no—
913#529—431no—
914#529—431no—
915#529—431no—
916#529—861no—
917#529—861no—
918#529—861no—
919#529—861no—
920#520—431no—
921#520—431no—
922#519—431no—
923#519—431no—
924C4×#41—431no—
925C4×#41—431no—
926#501—431no—
927#501—431no—
928#499—431no—
929#496—431no—
930#496C2×D4311yescharacteristic
931#495—431no—
932#488—431no—
933#488—431no—
934#488—431no—
935#488—431no—
936#486—431no—
937#486—431no—
938#485—431no—
939#485—431no—
940#485—431no—
941#485—431no—
942#482—431no—
943#482—431no—
944#482—431no—
945#482—431no—
946#481—431no—
947#481—431no—
948#480—431no—
949#480—431no—
950#479—431no—
951#479—431no—
952#479—431no—
953#479—431no—
954#478—431no—
955#478—431no—
956#478—431no—
957#478—431no—
958#477—431no—
959#477—431no—
960#475—431no—
961#475—431no—
962#469—431no—
963#469C2×D4311yescharacteristic
964#468—431no—
965#468—431no—
966#467—431no—
967#466—431no—
968#466—431no—
969#466—431no—
970#465—431no—
971#465—431no—
972#465—431no—
973#465C2×D4311yescharacteristic
974#464—431no—
975#464—431no—
976#464—431no—
977#464—431no—
978#464—431no—
979#464C2×D4311yescharacteristic
980#463—431no—
981#463—431no—
982#460—431no—
983#460C2×D4311yescharacteristic
984#459—431no—
985#459—431no—
986#452—431no—
987#452C2×D4311yescharacteristic
988#451—431no—
989#451—431no—
990#449—431no—
991#449—431no—
992#449—431no—
993#449—431no—
994#449C2×D4311yescharacteristic
995#449C2×D4311yescharacteristic
996#448—431no—
997#448C2×D4311yescharacteristic
998#446—431no—
999C8×Q8—431no—
1000#442—431no—
1001#442—431no—
1002#441—431no—
1003#441—431no—
1004#441—431no—
1005#441C2×D4311yescharacteristic
1006#440—431no—
1007#440—431no—
1008#440—431no—
1009#440—431no—
1010#440—431no—
1011#440—431no—
1012C4×Q16—431no—
1013C4×Q16—431no—
1014C4×Q16—431no—
1015C4×Q16—431no—
1016C4×Q16—431no—
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16—431no—
1020C4×SD16—431no—
1021C4×SD16—431no—
1022C4×SD16—431no—
1023C4×SD16—431no—
1024C4×SD16—431no—
1025C4×D8—431no—
1026C4×D8—431no—
1027C4×D8—431no—
1028#436—431no—
1029#435—431no—
1030#435C2×D4311yescharacteristic
1031C8×D4—431no—
1032C8×D4—431no—
1033C8×D4—431no—
1034#433—431no—
1035#433—431no—
1036#432—431no—
1037#428—431no—
1038#428—431no—
1039#427—431no—
1040#416—431no—
1041#416—431no—
1042#416—431no—
1043#416—431no—
1044C2×#103—431no—
1045C2×#103—431no—
1046#405—431no—
1047#405—431no—
1048C2×C4×C8—431no—
1049C43#6150211yescharacteristic, complemented, Sylow
1050C2×#41—431no—
1051C2×#41C22×D4311yescharacteristic
1052C2×#41C22×D4311yescharacteristic
1053C2×#41C22×D4311yescharacteristic
1054C22×Q8—431no—
1055C22×Q8C22×D4311yescharacteristic
1056#137—24no—
1057#137—864no—
1058#135—24no—
1059C2×Q16—431no—
1060C2×Q16—431no—
1061C2×Q16C22×D4311yescharacteristic
1062C2×Q16C22×D4311yescharacteristic
1063C2×SD16—431no—
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16C22×D4311yescharacteristic
1067C2×SD16C22×D4311yescharacteristic
1068C2×SD16C22×D4311yescharacteristic
1069C2×SD16C22×D4311yescharacteristic
1070C2×SD16C22×D4311yescharacteristic
1071C2×D8—431no—
1072C2×D8—431no—
1073C2×D8C22×D4311yescharacteristic
1074C2×D8C22×D4311yescharacteristic
1075C2×M16—431no—
1076C2×M16C22×D4311yescharacteristic
1077C22×C8—431no—
1078C22×C8—431no—
1079C22×C8—431no—
1080C22×C8C22×D4311yescharacteristic
1081C4⋊Q8—431no—
1082C4⋊Q8—431no—
1083C4⋊Q8—861no—
1084C4⋊Q8—861no—
1085#127—21no—
1086#127—431no—
1087#127—861no—
1088#127C22×D4311yescharacteristic
1089#126—431no—
1090#126—431no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#125—431no—
1100#125—431no—
1101#125—431no—
1102#125—431no—
1103#125—431no—
1104#125—861no—
1105#125—861no—
1106#125—861no—
1107#125—861no—
1108#125—861no—
1109#125—861no—
1110#124—21no—
1111#124—431no—
1112#124—431no—
1113#124—431no—
1114#124—431no—
1115#124—861no—
1116#124—861no—
1117#124—861no—
1118#124—861no—
1119#124—861no—
1120#124—861no—
1121#124—861no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124C22×D4311yescharacteristic
1127#123—431no—
1128#123—431no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145C22⋊Q8—21no—
1146C22⋊Q8—431no—
1147C22⋊Q8—431no—
1148C22⋊Q8—431no—
1149C22⋊Q8—431no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8C22×D4311yescharacteristic
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121—431no—
1160#121—431no—
1161#121—431no—
1162#121—431no—
1163#121—431no—
1164#121—431no—
1165#121—861no—
1166#121—861no—
1167#121—861no—
1168#121—861no—
1169#121—861no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121C22×D4311yescharacteristic
1179#121C22×D4311yescharacteristic
1180#121C22×D4311yescharacteristic
1181C4×Q8—431no—
1182C4×Q8—431no—
1183C4×Q8—431no—
1184C4×Q8—431no—
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—431no—
1191C4×Q8—431no—
1192C4×Q8—861no—
1193C4×Q8—861no—
1194C4×Q8—861no—
1195C4×Q8—861no—
1196C4×Q8—861no—
1197C4×Q8—861no—
1198C4×Q8C22×D4311yescharacteristic
1199C4×Q8C22×D4311yescharacteristic
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4C22×D4311yescharacteristic
1231#117—431no—
1232#117—431no—
1233#117—431no—
1234#117—431no—
1235#117—431no—
1236#117—431no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251C2×C4⋊C4—431no—
1252C2×C4⋊C4—431no—
1253C2×C4⋊C4—861no—
1254C2×C4⋊C4—861no—
1255C2×C42—431no—
1256C2×C42—861no—
1257C2×C42—861no—
1258#107—431no—
1259#107—431no—
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107—431no—
1266#106—431no—
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106C22×D4311yescharacteristic
1274C4⋊C8—431no—
1275C4⋊C8—431no—
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8—431no—
1279C4⋊C8C22×D4311yescharacteristic
1280#103—431no—
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#102—431no—
1297#102—431no—
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102C22×D4311yescharacteristic
1310#102C22×D4311yescharacteristic
1311#102C22×D4311yescharacteristic
1312C22⋊C8—431no—
1313C22⋊C8—431no—
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8C22×D4311yescharacteristic
1317C22⋊C8C22×D4311yescharacteristic
1318#97—431no—
1319#97—431no—
1320#97—431no—
1321#97C22×D4311yescharacteristic
1322C4×C8—431no—
1323C4×C8—431no—
1324C4×C8—431no—
1325C4×C8—431no—
1326C4×C8—431no—
1327C4×C8—431no—
1328#41—22no—
1329#41—22no—
1330#41—22no—
1331#41—41no—
1332#41—41no—
1333#41—41no—
1334#41—862no—
1335#41—1721no—
1336C2×Q8—21no—
1337C2×Q8—22no—
1338C2×Q8—41no—
1339C2×Q8—431no—
1340C2×Q8—431no—
1341C2×Q8—861no—
1342C2×Q8—861no—
1343C2×Q8—861no—
1344C2×Q8—862no—
1345C2×Q8—1721no—
1346C2×Q8C23×D4311yescharacteristic
1347C2×Q8C23×D4311yescharacteristic
1348C2×Q8C23×D4311yescharacteristic
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—431no—
1358C2×D4—431no—
1359C2×D4—431no—
1360C2×D4—861no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4D4×D4311yescharacteristic
1369C2×D4C23×D4311yescharacteristic
1370C2×D4C23×D4311yescharacteristic
1371C2×D4C23×D4311yescharacteristic
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—431no—
1377C22×C4—431no—
1378C22×C4—431no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4—861no—
1384C22×C4—861no—
1385C22×C4—861no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4C23×D4311yescharacteristic
1392C22×C4C23×D4311yescharacteristic
1393Q16—22no—
1394Q16—862no—
1395Q16—1721no—
1396Q16#1062190014yes—
1397SD16—22no—
1398SD16—22no—
1399SD16—22no—
1400SD16—22no—
1401SD16—41no—
1402SD16—862no—
1403SD16—862no—
1404SD16—1721no—
1405D8—22no—
1406D8—41no—
1407D8—1721no—
1408D8—1721no—
1409M16—22no—
1410M16—862no—
1411C2×C8—22no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—431no—
1415C2×C8—431no—
1416C2×C8—1721no—
1417C2×C8—1721no—
1418C2×C8—1721no—
1419C2×C8C23×D4311yescharacteristic
1420C2×C8C23×D4311yescharacteristic
1421C2×C8C23×D4311yescharacteristic
1422C2×C8C23×D4311yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
1433C4⋊C4—431no—
1434C4⋊C4—431no—
1435C4⋊C4—431no—
1436C4⋊C4—431no—
1437C4⋊C4—431no—
1438C4⋊C4—431no—
1439C4⋊C4—431no—
1440C4⋊C4—431no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4D4×D4311yescharacteristic
1467C4⋊C4C23×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—431no—
1476C22⋊C4—431no—
1477C22⋊C4—431no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4D4×D4311yescharacteristic
1510C22⋊C4D4×D4311yescharacteristic
1511C42—21no—
1512C42—21no—
1513C42—431no—
1514C42—431no—
1515C42—431no—
1516C42—431no—
1517C42—431no—
1518C42—861no—
1519C42—861no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42C23×D4311yescharacteristic
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—431no—
1537C23—861no—
1538C23C2×D4×D4311yescharacteristic
1539C23C2×D4×D4311yescharacteristic
1540Q8—21no—
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—42no—
1545Q8—861no—
1546Q8—861no—
1547Q8—3441no—
1548Q8—3441no—
1549Q8—1721no—
1550Q8—1722no—
1551Q8C2×#1062190012yes—
1552Q8C2×#1062190012yes—
1553D4—21no—
1554D4—21no—
1555D4—21no—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—41no—
1560D4—42no—
1561D4—42no—
1562D4—42no—
1563D4—81no—
1564D4—81no—
1565D4—81no—
1566D4—81no—
1567D4—81no—
1568D4—861no—
1569D4—861no—
1570D4—3441no—
1571D4—3441no—
1572D4—3441no—
1573D4—3441no—
1574D4—3441no—
1575D4—3441no—
1576D4—3441no—
1577D4—1722no—
1578D4—1721no—
1579D4—1721no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—42no—
1590C2×C4—42no—
1591C2×C4—42no—
1592C2×C4—42no—
1593C2×C4—431no—
1594C2×C4—431no—
1595C2×C4—431no—
1596C2×C4—431no—
1597C2×C4—431no—
1598C2×C4—431no—
1599C2×C4—431no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—861no—
1609C2×C4—3441no—
1610C2×C4—3441no—
1611C2×C4—3441no—
1612C2×C4—3441no—
1613C2×C4—3441no—
1614C2×C4—3441no—
1615C2×C4—3441no—
1616C2×C4—3441no—
1617C2×C4—3441no—
1618C2×C4—3441no—
1619C2×C4—1722no—
1620C2×C4—1722no—
1621C2×C4—1721no—
1622C2×C4—1721no—
1623C2×C4C2×D4×D4311yescharacteristic
1624C2×C4C2×D4×D4311yescharacteristic
1625C2×C4C2×D4×D4311yescharacteristic
1626C2×C4C2×D4×D4311yescharacteristic
1627C2×C4C24×D4311yescharacteristic
1628C8—21no—
1629C8—21no—
1630C8—21no—
1631C8—861no—
1632C8—861no—
1633C8—861no—
1634C8—861no—
1635C8C2×#1062190012yes—
1636C22—21no—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—861no—
1652C22—861no—
1653C22—861no—
1654C22—1721no—
1655C22—1721no—
1656C22—1721no—
1657C22C22×D4×D4311yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—22no—
1661C4—22no—
1662C4—21no—
1663C4—21no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—861no—
1668C4—861no—
1669C4—861no—
1670C4—861no—
1671C4—861no—
1672C4—861no—
1673C4—861no—
1674C4—1721no—
1675C4—1721no—
1676C4—1721no—
1677C4—1721no—
1678C4—1721no—
1679C4—1721no—
1680C4—1721no—
1681C4C22×#1062190011yescharacteristic
1682C4#1458373411yescharacteristic
1683C2—41no—
1684C2—41no—
1685C2—81no—
1686C2—81no—
1687C2—81no—
1688C2—3441no—
1689C2—1721no—
1690C2D4×#1062190011yescharacteristic
1691C2#1914936711yescharacteristic
1692C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3271C2
socleC22×C43C23×D4
hypercenter#3271D43
hypocenterC43#61502
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3271

Complements

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

NH ≅ G/Ntype
1. #19148705C2semidirect
2. #19148693C2semidirect
3. #19147680C2semidirect
4. #19147563C2semidirect
5. #19147295C2semidirect
6. #19147286C2semidirect
7. #19147196C2semidirect
8. #19147116C2semidirect
9. #19147112C2semidirect
10. #19146545C2semidirect
11. #19146538C2semidirect
12. #19146501C2semidirect
13. #19146490C2semidirect
14. #19146482C2semidirect
15. #19146475C2semidirect
16. #19146246C2semidirect
17. #19146180C2semidirect
18. #19145279C2semidirect
19. #19145275C2semidirect
20. #19145158C2semidirect
21. #19144821C2semidirect
22. #19144817C2semidirect
23. #19144795C2semidirect
24. #19144793C2semidirect
25. #19144705C2semidirect
26. #19144697C2semidirect
27. #19143565C2semidirect
28. #19143439C2semidirect
29. #19143437C2semidirect
30. #135×Dic43C2semidirect
31. C43×#3271C2semidirect
854. #3271D43semidirect
1049. C43#61502semidirect

Maximal subgroups

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

subgroupindex
#191487052
#191486932
#191476802
#191475632
#191472952
#191472862
#191471962
#191471162
#191471122
#191465452
#191465382
#191465012
#191464902
#191464822
#191464752
#191462462
#191461802
#191452792
#191452752
#191451582
#191448212
#191448172
#191447952
#191447932
#191447052
#191446972
#191435652
#191434392
#191434372
#135×Dic432
C43×#32712
#6150243