Finite Group Databasebeta

← #25979485

Subgroups — #25979485

Order 11008.

1824 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148603C211yesmaximal, characteristic, complemented
2#19148592C211yesmaximal, characteristic, complemented
3#19147612C211yesmaximal, characteristic, complemented
4#19147528C211yesmaximal, characteristic, complemented
5#19147275C211yesmaximal, characteristic, complemented
6#19147261C211yesmaximal, characteristic, complemented
7#19147185C211yesmaximal, characteristic, complemented
8#19147146C211yesmaximal, characteristic, complemented
9#19147142C211yesmaximal, characteristic, complemented
10#19146538C211yesmaximal, characteristic, complemented
11#19146534C211yesmaximal, characteristic, complemented
12#19146527C211yesmaximal, characteristic, complemented
13#19146497C211yesmaximal, characteristic, complemented
14#19146490C211yesmaximal, characteristic, complemented
15#19146453C211yesmaximal, characteristic, complemented
16#19146255C211yesmaximal, characteristic, complemented
17#19146180C211yesmaximal, characteristic, complemented
18#19145279C211yesmaximal, characteristic, complemented
19#19145275C211yesmaximal, characteristic, complemented
20#19145149C211yesmaximal, characteristic, complemented
21#19144884C211yesmaximal, characteristic, complemented
22#19144880C211yesmaximal, characteristic, complemented
23#19144873C211yesmaximal, characteristic, complemented
24#19144871C211yesmaximal, characteristic, complemented
25#19144750C211yesmaximal, characteristic, complemented
26#19144739C211yesmaximal, 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
33Q8×Dic86C2211yescharacteristic
34#14583625C2211yescharacteristic
35#14583620—21no—
36#14583620C2211yescharacteristic
37#14583619—21no—
38#14583619C2211yescharacteristic
39#14583618—21no—
40#14583618C2211yescharacteristic
41#14583613—21no—
42#14583613C2211yescharacteristic
43#14583596—21no—
44#14583596C2211yescharacteristic
45#14583595—21no—
46#14583595C2211yescharacteristic
47#14583569—21no—
48#14583569C2211yescharacteristic
49#14583568C2211yescharacteristic
50#14583568C2211yescharacteristic
51Q8×C22⋊D43C2211yescharacteristic
52#14583556C2211yescharacteristic
53#14583549—21no—
54#14583549C2211yescharacteristic
55#14583518—21no—
56#14583518C2211yescharacteristic
57#14583516—21no—
58#14583516C2211yescharacteristic
59#14583503—21no—
60#14583503C2211yescharacteristic
61#14583502—21no—
62#14583502C2211yescharacteristic
63#14583451—21no—
64#14583451C2211yescharacteristic
65#14583444—21no—
66#14583444C2211yescharacteristic
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#14583296C2211yescharacteristic
79#14583287C2211yescharacteristic
80#14583270C2211yescharacteristic
81#14583253C2211yescharacteristic
82#14583252C2211yescharacteristic
83#14583248C2211yescharacteristic
84#14583245C2211yescharacteristic
85#14583244C2211yescharacteristic
86#14583244C2211yescharacteristic
87#14583241C2211yescharacteristic
88#14583237C2211yescharacteristic
89#14583230C2211yescharacteristic
90#14583228C2211yescharacteristic
91#14583224C2211yescharacteristic
92#14583224C2211yescharacteristic
93#14583222C2211yescharacteristic
94#14583221C2211yescharacteristic
95#14583220C2211yescharacteristic
96#14583220C2211yescharacteristic
97#14583216C2211yescharacteristic
98#14583215C2211yescharacteristic
99#14583208C2211yescharacteristic
100#14583207C2211yescharacteristic
101#14583206C2211yescharacteristic
102#14583204C2211yescharacteristic
103#14583192C2211yescharacteristic
104#14583190C2211yescharacteristic
105#14583187C2211yescharacteristic
106#14583187C2211yescharacteristic
107#14583184C2211yescharacteristic
108#14583182C2211yescharacteristic
109#14583182C2211yescharacteristic
110#14583177C2211yescharacteristic
111#14583149C2211yescharacteristic
112#14583145C2211yescharacteristic
113#14583142C2211yescharacteristic
114#14583133C2211yescharacteristic
115#14583132C2211yescharacteristic
116#14583130C2211yescharacteristic
117#14583128C2211yescharacteristic
118#14583126C2211yescharacteristic
119#14583126C2211yescharacteristic
120#14583125C2211yescharacteristic
121#14583119C2211yescharacteristic
122#14583112C2211yescharacteristic
123#14583111C2211yescharacteristic
124#14583107C2211yescharacteristic
125#14583102C2211yescharacteristic
126#14583097C2211yescharacteristic
127#14583097C2211yescharacteristic
128#14583097C2211yescharacteristic
129#14583096C2211yescharacteristic
130#14583092C2211yescharacteristic
131#14583061C2211yescharacteristic
132#14583061C2211yescharacteristic
133#14583060C2211yescharacteristic
134#14583044C2211yescharacteristic
135#14583043C2211yescharacteristic
136#14583038C2211yescharacteristic
137#14583036C2211yescharacteristic
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#14582990C2211yescharacteristic
157SD16×Dic43C2211yescharacteristic
158SD16×Dic43C2211yescharacteristic
159SD16×Dic43C2211yescharacteristic
160SD16×Dic43C2211yescharacteristic
161SD16×Dic43C2211yescharacteristic
162SD16×Dic43C2211yescharacteristic
163C4×#10621884C2211yescharacteristic
164#14582986C2211yescharacteristic
165#14582984C2211yescharacteristic
166D8×Dic43C2211yescharacteristic
167D8×Dic43C2211yescharacteristic
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×#10621900—21no—
205C2×#10621900—21no—
206C2×#10621900—21no—
207C2×Q8×D43C2311yescharacteristic
208#13063357—24no—
209C2×#10621885C2311yescharacteristic
210C2×#10621873C2311yescharacteristic
211C2×#10621883C2311yescharacteristic
212C2×#10621883C2311yescharacteristic
213C2×#10621884C2311yescharacteristic
214C2×#10621884C2311yescharacteristic
215C2×#10621882C2311yescharacteristic
216C2×#10621872C2311yescharacteristic
217C22×C43⋊C8C2311yescharacteristic
218C22×C43⋊C8C2311yescharacteristic
219C2×C8×D43C2311yescharacteristic
220#13063325—21no—
221#13063325C2311yescharacteristic
222#13063324—21no—
223#13063324—21no—
224#13063324—21no—
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063323—21no—
229#13063323C2311yescharacteristic
230#13063321—21no—
231#13063321—21no—
232#13063321C2311yescharacteristic
233#13063321C2311yescharacteristic
234#13063320—21no—
235#13063320—21no—
236#13063320D411yescharacteristic
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318D411yescharacteristic
246#13063317—21no—
247#13063317C2311yescharacteristic
248#13063316—21no—
249#13063316C2311yescharacteristic
250#13063315—21no—
251#13063315D411yescharacteristic
252#13063312—21no—
253#13063312—21no—
254#13063312—21no—
255#13063312—21no—
256#13063312C2311yescharacteristic
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311D411yescharacteristic
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#13063306D411yescharacteristic
274#13063304—21no—
275#13063304—21no—
276#13063304C2311yescharacteristic
277#13063304C2311yescharacteristic
278#13063302—21no—
279#13063302—21no—
280#13063302—21no—
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#13063297—21no—
296#13063297—21no—
297#13063297—21no—
298#13063297D411yescharacteristic
299#13063296—21no—
300#13063296—21no—
301#13063296—21no—
302#13063296—21no—
303#13063296—21no—
304#13063296—21no—
305#13063296C2311yescharacteristic
306#13063296C2311yescharacteristic
307#13063296C2311yescharacteristic
308Q8×Dic43—21no—
309Q8×Dic43—21no—
310Q8×Dic43C2311yescharacteristic
311Q8×Dic43C2311yescharacteristic
312Q8×Dic43C2311yescharacteristic
313Q8×Dic43C2311yescharacteristic
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316Q8×Dic43C2311yescharacteristic
317Q8×Dic43C2311yescharacteristic
318C4×Dic86—21no—
319C4×Dic86—21no—
320C4×Dic86—21no—
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323#13063290—21no—
324#13063290—21no—
325#13063290—21no—
326#13063290—21no—
327#13063290C2311yescharacteristic
328C4×D172—21no—
329C4×D172C2311yescharacteristic
330D4×Dic43—21no—
331D4×Dic43—21no—
332D4×Dic43—21no—
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43—21no—
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342#13063287—21no—
343#13063287C2311yescharacteristic
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43C2311yescharacteristic
349C4×C22⋊D43C2311yescharacteristic
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353#13063284—21no—
354#13063284—21no—
355#13063284—21no—
356#13063284—21no—
357#13063284—21no—
358#13063284C2311yescharacteristic
359#13063284C2311yescharacteristic
360#13063284C2311yescharacteristic
361#13063284C2311yescharacteristic
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#13063257C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
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⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43C2×D411yescharacteristic
521C2×C22⋊D43C2×D411yescharacteristic
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43—21no—
528C22×Dic43—21no—
529C22×Dic43C2×D411yescharacteristic
530C22×Dic43C2×D411yescharacteristic
531#10621902—22no—
532#10621902—41no—
533Q8×D43—22no—
534Q8×D43—41no—
535#10621900—82no—
536#10621900—82no—
537#10621900—82no—
538C2×D172—21no—
539C2×D172C2411yescharacteristic
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43C2411yescharacteristic
546C2×Dic86—21no—
547C2×Dic86—21no—
548C2×Dic86—21no—
549C2×Dic86—21no—
550C2×Dic86—21no—
551C2×Dic86C2×D411yescharacteristic
552C2×Dic86C2411yescharacteristic
553Q16×C43—22no—
554Q16×C43#4114yescomplemented
555SD16×C43—22no—
556SD16×C43—22no—
557SD16×C43—22no—
558SD16×C43—22no—
559SD16×C43—41no—
560D8×C43—22no—
561D8×C43—41no—
562M16×C43—22no—
563C2×C8×C43—22no—
564C2×C8×C43C2411yescharacteristic
565C2×C8×C43C2411yescharacteristic
566C2×C8×C43C2411yescharacteristic
567C2×C8×C43C2411yescharacteristic
568C4⋊C4×C43—21no—
569C4⋊C4×C43—21no—
570C4⋊C4×C43—21no—
571C4⋊C4×C43C2×D411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43C2×D411yescharacteristic
581C22⋊C4×C43C2×D411yescharacteristic
582C42×C43—21no—
583C42×C43—21no—
584C42×C43C2411yescharacteristic
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⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43C2×D411yescharacteristic
602C22⋊Dic43C2×D411yescharacteristic
603C22⋊Dic43C2×D411yescharacteristic
604C22⋊Dic43C2×D411yescharacteristic
605#10621885—22no—
606#10621884—22no—
607#10621884—41no—
608#10621883—41no—
609#10621883—41no—
610#10621882—41no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
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⋊Dic43—21no—
632C4⋊Dic43C2×D411yescharacteristic
633C4⋊Dic43C2×D411yescharacteristic
634C4⋊Dic43C2×D411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43C2×D411yescharacteristic
676C4×Dic43C2×D411yescharacteristic
677C4×Dic43C2411yescharacteristic
678C4×Dic43C2411yescharacteristic
679C4×Dic43C2411yescharacteristic
680C2×C43⋊C8—41no—
681C2×C43⋊C8—41no—
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686#10621873—22no—
687#10621872—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43—21no—
692C23×C43C22×D411yescharacteristic
693C23×C43C22×D411yescharacteristic
694C22×D43—21no—
695C22×D43C22×D411yescharacteristic
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—21no—
699Q8×C43—21no—
700Q8×C43—42no—
701Q8×C43C2×#4112yes—
702Q8×C43C2×#4112yes—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—41no—
710D4×C43—42no—
711D4×C43—42no—
712D4×C43—42no—
713D4×C43—81no—
714D4×C43—81no—
715D4×C43—81no—
716D4×C43—81no—
717D4×C43—81no—
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—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—42no—
728C2×C4×C43—42no—
729C2×C4×C43—42no—
730C2×C4×C43—42no—
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C22×D411yescharacteristic
735C2×C4×C43C2511yescharacteristic
736C22⋊D43—22no—
737C22⋊D43—41no—
738C22⋊D43—42no—
739C22⋊D43—81no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C22⋊D43—81no—
745C22⋊D43—81no—
746C22⋊D43—81no—
747C2×Dic43—22no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—41no—
756C2×Dic43—42no—
757C2×Dic43—42no—
758C2×Dic43—81no—
759C2×Dic43—81no—
760C2×Dic43—81no—
761C2×Dic43—81no—
762C2×Dic43—81no—
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767C2×Dic43C22×D411yescharacteristic
768C2×Dic43C22×D411yescharacteristic
769C2×Dic43C22×D411yescharacteristic
770D172—21no—
771D172—21no—
772D172—42no—
773C4×D43—21no—
774C4×D43—21no—
775C4×D43—42no—
776C4×D43—42no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780Dic86—22no—
781Dic86—21no—
782Dic86—21no—
783Dic86—42no—
784Dic86—42no—
785Dic86—81no—
786Dic86—81no—
787Dic86—81no—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43C2×#4112yes—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8—21no—
796#61495—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—21no—
802C22×C43—21no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43C23×D411yescharacteristic
813C2×D43—21no—
814C2×D43—21no—
815C2×D43—21no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C4×C43—21no—
820C4×C43—22no—
821C4×C43—22no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—41no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43C22×#4111yescharacteristic
829C4×C43#58511yescharacteristic
830Dic43—21no—
831Dic43—21no—
832Dic43—21no—
833Dic43—21no—
834Dic43—21no—
835Dic43—21no—
836Dic43—41no—
837Dic43—41no—
838Dic43—41no—
839Dic43—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43#57712yes—
844#3518—431no—
845#3517—431no—
846#3397—431no—
847#3387—431no—
848#3364—431no—
849#3362—431no—
850#3354—431no—
851#3350—431no—
852#3350—431no—
853#3305—431no—
854#3304—431no—
855#3304—431no—
856#3301—431no—
857#3301—431no—
858#3298—431no—
859#3278—431no—
860#3271—431no—
861#3271D4311yescharacteristic, complemented
862#3179—431no—
863#3179—431no—
864#3167—431no—
865#3126—431no—
866#3126—431no—
867#3125—431no—
868#3125—431no—
869#3116—431no—
870#3115—431no—
871#2966—431no—
872#2947—431no—
873#2947—431no—
874C4×#135—431no—
875C2×C43—41no—
876C2×C43—41no—
877C2×C43—81no—
878C2×C43—81no—
879C2×C43—81no—
880C2×C43D4×#4111yescharacteristic
881C2×C43C2×#57711yescharacteristic
882C2×C43#358411yescharacteristic
883D43—41no—
884D43—81no—
885C2×#137—431no—
886C2×#137C2×D4311yescharacteristic
887C2×#135C2×D4311yescharacteristic
888Q82—431no—
889#557—431no—
890#556—431no—
891#556—431no—
892#556—431no—
893#556—861no—
894#556—861no—
895#556—861no—
896#555—431no—
897#555—861no—
898#553—431no—
899#553—431no—
900#553—861no—
901#553—861no—
902#550—431no—
903#550—431no—
904#550—431no—
905#550—861no—
906#550C2×D4311yescharacteristic
907D4×Q8—431no—
908#548—431no—
909#548C2×D4311yescharacteristic
910#547—431no—
911#547—861no—
912#542—431no—
913#542—431no—
914#542—861no—
915#542—861no—
916#540—431no—
917#540—431no—
918#540—861no—
919#540—861no—
920#533—431no—
921#533—861no—
922#532—431no—
923#532—861no—
924#529—431no—
925#529—861no—
926#529—861no—
927#520—431no—
928#520—431no—
929#519—431no—
930#519—431no—
931C4×#41—431no—
932C4×#41—431no—
933#501—431no—
934#501—431no—
935#498—431no—
936#496—431no—
937#496C2×D4311yescharacteristic
938#492—431no—
939#488—431no—
940#488—431no—
941#487—431no—
942#486—431no—
943#486—431no—
944#486—431no—
945#485—431no—
946#485—431no—
947#483—431no—
948#483—431no—
949#482—431no—
950#482—431no—
951#482—431no—
952#482—431no—
953#482—431no—
954#482—431no—
955#481—431no—
956#481—431no—
957#479—431no—
958#479—431no—
959#479—431no—
960#479—431no—
961#477—431no—
962#476—431no—
963#476—431no—
964#476—431no—
965#475—431no—
966#475—431no—
967#475—431no—
968#474—431no—
969#469—431no—
970#469C2×D4311yescharacteristic
971#468—431no—
972#468—431no—
973#466—431no—
974#466—431no—
975#465—431no—
976#465—431no—
977#465—431no—
978#465—431no—
979#465—431no—
980#465C2×D4311yescharacteristic
981#464—431no—
982#464C2×D4311yescharacteristic
983#463—431no—
984#463—431no—
985#462—431no—
986#461—431no—
987#460—431no—
988#460—431no—
989#460—431no—
990#460—431no—
991#460C2×D4311yescharacteristic
992#459—431no—
993#452—431no—
994#452—431no—
995#452—431no—
996#452C2×D4311yescharacteristic
997#449—431no—
998#449—431no—
999#449C2×D4311yescharacteristic
1000#449C2×D4311yescharacteristic
1001#448—431no—
1002#448—431no—
1003#448—431no—
1004#448C2×D4311yescharacteristic
1005#446—431no—
1006C8×Q8—431no—
1007#442—431no—
1008#442—431no—
1009#441—431no—
1010#441—431no—
1011#441—431no—
1012#441C2×D4311yescharacteristic
1013#440—431no—
1014#440—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019C4×Q16—431no—
1020C4×Q16—431no—
1021C4×Q16—431no—
1022C4×Q16—431no—
1023C4×SD16—431no—
1024C4×SD16—431no—
1025C4×SD16—431no—
1026C4×SD16—431no—
1027C4×SD16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×D8—431no—
1034C4×D8—431no—
1035#436—431no—
1036#435—431no—
1037#435C2×D4311yescharacteristic
1038C8×D4—431no—
1039C8×D4—431no—
1040C8×D4—431no—
1041#433—431no—
1042#433—431no—
1043#432—431no—
1044#428—431no—
1045#428—431no—
1046#427—431no—
1047#416—431no—
1048#416—431no—
1049#416—431no—
1050#416—431no—
1051C2×#103—431no—
1052C2×#103—431no—
1053#405—431no—
1054#405—431no—
1055C2×C4×C8—431no—
1056C43#6149511yescharacteristic, complemented, Sylow
1057C2×#41—431no—
1058C2×#41—861no—
1059C2×#41—861no—
1060C2×#41—861no—
1061C2×#41C22×D4311yescharacteristic
1062C2×#41C22×D4311yescharacteristic
1063C2×#41C22×D4311yescharacteristic
1064C22×Q8—431no—
1065C22×Q8C22×D4311yescharacteristic
1066#137—24no—
1067#137—864no—
1068#135—24no—
1069C2×Q16—431no—
1070C2×Q16C22×D4311yescharacteristic
1071C2×Q16C22×D4311yescharacteristic
1072C2×SD16—431no—
1073C2×SD16—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16C22×D4311yescharacteristic
1078C2×SD16C22×D4311yescharacteristic
1079C2×SD16C22×D4311yescharacteristic
1080C2×SD16C22×D4311yescharacteristic
1081C2×SD16C22×D4311yescharacteristic
1082C2×D8—431no—
1083C2×D8C22×D4311yescharacteristic
1084C2×D8C22×D4311yescharacteristic
1085C2×M16—431no—
1086C2×M16C22×D4311yescharacteristic
1087C22×C8—431no—
1088C22×C8—431no—
1089C22×C8—431no—
1090C22×C8C22×D4311yescharacteristic
1091C4⋊Q8—431no—
1092C4⋊Q8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—861no—
1097C4⋊Q8—861no—
1098C4⋊Q8—861no—
1099C4⋊Q8—861no—
1100C4⋊Q8—861no—
1101#127—21no—
1102#127—431no—
1103#127—431no—
1104#127—861no—
1105#127—861no—
1106#127C22×D4311yescharacteristic
1107#126—431no—
1108#126—431no—
1109#126—861no—
1110#126—861no—
1111#126—861no—
1112#126—861no—
1113#126—861no—
1114#126—861no—
1115#126—861no—
1116#126—861no—
1117#126—861no—
1118#126—861no—
1119#125—431no—
1120#125—431no—
1121#125—431no—
1122#125—861no—
1123#125—861no—
1124#125—861no—
1125#124—21no—
1126#124—431no—
1127#124—431no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124—861no—
1133#124—861no—
1134#124—861no—
1135#124—861no—
1136#124C22×D4311yescharacteristic
1137#123—431no—
1138#123—431no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149C22⋊Q8—21no—
1150C22⋊Q8—431no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8C22×D4311yescharacteristic
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121—431no—
1167#121—431no—
1168#121—431no—
1169#121—431no—
1170#121—431no—
1171#121—431no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
1188#121C22×D4311yescharacteristic
1189#121C22×D4311yescharacteristic
1190#121C22×D4311yescharacteristic
1191C4×Q8—431no—
1192C4×Q8—431no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—431no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8—861no—
1207C4×Q8—861no—
1208C4×Q8—861no—
1209C4×Q8—861no—
1210C4×Q8—861no—
1211C4×Q8C22×D4311yescharacteristic
1212C4×Q8C22×D4311yescharacteristic
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—431no—
1220C4×D4—431no—
1221C4×D4—431no—
1222C4×D4—431no—
1223C4×D4—431no—
1224C4×D4—431no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4—861no—
1235C4×D4—861no—
1236C4×D4—861no—
1237C4×D4—861no—
1238C4×D4—861no—
1239C4×D4—861no—
1240C4×D4C22×D4311yescharacteristic
1241#117—431no—
1242#117—431no—
1243#117—431no—
1244#117—431no—
1245#117—431no—
1246#117—431no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117—861no—
1252#117—861no—
1253#117—861no—
1254#117—861no—
1255#117—861no—
1256#117—861no—
1257#117—861no—
1258C2×C4⋊C4—431no—
1259C2×C4⋊C4—431no—
1260C2×C4⋊C4—861no—
1261C2×C4⋊C4—861no—
1262C2×C42—431no—
1263C2×C42—861no—
1264C2×C42—861no—
1265#107—431no—
1266#107—431no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#106—431no—
1272#106—431no—
1273#106—431no—
1274#106—431no—
1275#106—431no—
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106C22×D4311yescharacteristic
1281C4⋊C8—431no—
1282C4⋊C8—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8C22×D4311yescharacteristic
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103C22×D4311yescharacteristic
1301#103C22×D4311yescharacteristic
1302#103C22×D4311yescharacteristic
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102C22×D4311yescharacteristic
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319C22⋊C8—431no—
1320C22⋊C8—431no—
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8C22×D4311yescharacteristic
1324C22⋊C8C22×D4311yescharacteristic
1325#97—431no—
1326#97—431no—
1327#97—431no—
1328#97C22×D4311yescharacteristic
1329C4×C8—431no—
1330C4×C8—431no—
1331C4×C8—431no—
1332C4×C8—431no—
1333C4×C8—431no—
1334C4×C8—431no—
1335#41—22no—
1336#41—22no—
1337#41—22no—
1338#41—41no—
1339#41—41no—
1340#41—41no—
1341#41—862no—
1342#41—3442no—
1343#41—3442no—
1344#41—3442no—
1345#41—1721no—
1346C2×Q8—21no—
1347C2×Q8—22no—
1348C2×Q8—41no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8—861no—
1354C2×Q8—861no—
1355C2×Q8—861no—
1356C2×Q8—862no—
1357C2×Q8—1721no—
1358C2×Q8C23×D4311yescharacteristic
1359C2×Q8C23×D4311yescharacteristic
1360C2×Q8C23×D4311yescharacteristic
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—431no—
1370C2×D4—431no—
1371C2×D4—431no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—861no—
1379C2×D4—861no—
1380C2×D4—861no—
1381C2×D4—861no—
1382C2×D4D4×D4311yescharacteristic
1383C2×D4C23×D4311yescharacteristic
1384C2×D4C23×D4311yescharacteristic
1385C2×D4C23×D4311yescharacteristic
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—431no—
1391C22×C4—431no—
1392C22×C4—431no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4C23×D4311yescharacteristic
1406C22×C4C23×D4311yescharacteristic
1407Q16—22no—
1408Q16—862no—
1409Q16#1062190014yescomplemented
1410SD16—22no—
1411SD16—22no—
1412SD16—22no—
1413SD16—22no—
1414SD16—41no—
1415SD16—862no—
1416SD16—862no—
1417SD16—1721no—
1418SD16—1721no—
1419SD16—1721no—
1420D8—22no—
1421D8—41no—
1422D8—1721no—
1423M16—22no—
1424M16—862no—
1425C2×C8—22no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—431no—
1430C2×C8—1721no—
1431C2×C8—1721no—
1432C2×C8—1721no—
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C2×C8C23×D4311yescharacteristic
1436C2×C8C23×D4311yescharacteristic
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—431no—
1441C4⋊C4—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
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⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4D4×D4311yescharacteristic
1481C4⋊C4C23×D4311yescharacteristic
1482C4⋊C4C23×D4311yescharacteristic
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—431no—
1490C22⋊C4—431no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
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⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4D4×D4311yescharacteristic
1520C22⋊C4D4×D4311yescharacteristic
1521C42—21no—
1522C42—21no—
1523C42—431no—
1524C42—431no—
1525C42—431no—
1526C42—431no—
1527C42—431no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42C23×D4311yescharacteristic
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—431no—
1547C23—861no—
1548C23C2×D4×D4311yescharacteristic
1549C23C2×D4×D4311yescharacteristic
1550Q8—21no—
1551Q8—21no—
1552Q8—21no—
1553Q8—21no—
1554Q8—42no—
1555Q8—862no—
1556Q8—861no—
1557Q8—861no—
1558Q8—3441no—
1559Q8—3441no—
1560Q8—3441no—
1561Q8—1722no—
1562Q8—1722no—
1563Q8C2×#1062190012yes—
1564Q8C2×#1062190012yes—
1565D4—21no—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—41no—
1572D4—42no—
1573D4—42no—
1574D4—42no—
1575D4—81no—
1576D4—81no—
1577D4—81no—
1578D4—81no—
1579D4—81no—
1580D4—862no—
1581D4—861no—
1582D4—861no—
1583D4—3441no—
1584D4—3441no—
1585D4—3441no—
1586D4—3441no—
1587D4—3441no—
1588D4—3441no—
1589D4—3441no—
1590D4—3441no—
1591D4—1722no—
1592D4—1722no—
1593D4—1721no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—42no—
1604C2×C4—42no—
1605C2×C4—42no—
1606C2×C4—42no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—431no—
1612C2×C4—431no—
1613C2×C4—431no—
1614C2×C4—862no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—861no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—1722no—
1633C2×C4—1722no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1721no—
1637C2×C4C2×D4×D4311yescharacteristic
1638C2×C4C2×D4×D4311yescharacteristic
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C24×D4311yescharacteristic
1642C8—21no—
1643C8—21no—
1644C8—21no—
1645C8—861no—
1646C8—861no—
1647C8—861no—
1648C8—861no—
1649C8C2×#1062190012yes—
1650C22—21no—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—861no—
1666C22—861no—
1667C22—861no—
1668C22—1721no—
1669C22—1721no—
1670C22—1721no—
1671C22C22×D4×D4311yescharacteristic
1672C4—21no—
1673C4—21no—
1674C4—21no—
1675C4—22no—
1676C4—22no—
1677C4—21no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—432no—
1682C4—861no—
1683C4—861no—
1684C4—861no—
1685C4—861no—
1686C4—861no—
1687C4—861no—
1688C4—1721no—
1689C4—1721no—
1690C4—1721no—
1691C4—1721no—
1692C4—1721no—
1693C4—1721no—
1694C4—1721no—
1695C4C22×#1062190011yescharacteristic
1696C4#1458373411yescharacteristic
1697C2—41no—
1698C2—41no—
1699C2—81no—
1700C2—81no—
1701C2—81no—
1702C2—3441no—
1703C2—1721no—
1704C2D4×#1062190011yescharacteristic
1705C2#577×D4311yescharacteristic
1706C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3271C2
socleC22×C43C23×D4
hypercenter#3271D43
hypocenterC43#61495
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. #19148603C2semidirect
2. #19148592C2semidirect
3. #19147612C2semidirect
4. #19147528C2semidirect
5. #19147275C2semidirect
6. #19147261C2semidirect
7. #19147185C2semidirect
8. #19147146C2semidirect
9. #19147142C2semidirect
10. #19146538C2semidirect
11. #19146534C2semidirect
12. #19146527C2semidirect
13. #19146497C2semidirect
14. #19146490C2semidirect
15. #19146453C2semidirect
16. #19146255C2semidirect
17. #19146180C2semidirect
18. #19145279C2semidirect
19. #19145275C2semidirect
20. #19145149C2semidirect
21. #19144884C2semidirect
22. #19144880C2semidirect
23. #19144873C2semidirect
24. #19144871C2semidirect
25. #19144750C2semidirect
26. #19144739C2semidirect
27. #19143565C2semidirect
28. #19143439C2semidirect
29. #19143437C2semidirect
30. #135×Dic43C2semidirect
31. C43×#3271C2semidirect
554. Q16×C43#41semidirect
861. #3271D43semidirect
1056. C43#61495semidirect
1409. Q16#10621900semidirect

Maximal subgroups

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

subgroupindex
#191486032
#191485922
#191476122
#191475282
#191472752
#191472612
#191471852
#191471462
#191471422
#191465382
#191465342
#191465272
#191464972
#191464902
#191464532
#191462552
#191461802
#191452792
#191452752
#191451492
#191448842
#191448802
#191448732
#191448712
#191447502
#191447392
#191435652
#191434392
#191434372
#135×Dic432
C43×#32712
#6149543