Finite Group Databasebeta

← #25969100

Subgroups — #25969100

Order 11008.

1786 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148467C211yesmaximal, characteristic
2#19148410C211yesmaximal, characteristic, complemented
3#19145851C211yesmaximal, characteristic, complemented
4#19145850C211yesmaximal, characteristic, complemented
5#19145849C211yesmaximal, characteristic, complemented
6#19145848C211yesmaximal, characteristic, complemented
7#19145843C211yesmaximal, characteristic, complemented
8#19145842C211yesmaximal, characteristic, complemented
9#19145841C211yesmaximal, characteristic, complemented
10#19145730C211yesmaximal, characteristic, complemented
11#19145730C211yesmaximal, characteristic, complemented
12#19145729C211yesmaximal, characteristic, complemented
13#19145729C211yesmaximal, characteristic, complemented
14#19145722C211yesmaximal, characteristic, complemented
15#19145721C211yesmaximal, characteristic, complemented
16#19145715C211yesmaximal, characteristic, complemented
17#19145714C211yesmaximal, characteristic, complemented
18#19145140C211yesmaximal, characteristic, complemented
19#19145108C211yesmaximal, characteristic, complemented
20#19144968C211yesmaximal, characteristic, complemented
21#486×D43C211yesmaximal, characteristic, complemented
22#19144552C211yesmaximal, characteristic, complemented
23#19144550C211yesmaximal, characteristic, complemented
24#19144548C211yesmaximal, characteristic, complemented
25#19144546C211yesmaximal, characteristic, complemented
26#19144425C211yesmaximal, characteristic, complemented
27#19144423C211yesmaximal, characteristic, complemented
28#19144421C211yesmaximal, characteristic, complemented
29#19144419C211yesmaximal, characteristic, complemented
30#19143236C211yesmaximal, characteristic, complemented
31C43×#3241C211yesmaximal, characteristic, complemented
32#14583633—21no—
33#14583633—21no—
34#14583629—21no—
35#14583626—21no—
36#14583605—21no—
37#14583603—21no—
38#14583603—21no—
39#14583567—21no—
40#14583567—21no—
41#14583564—21no—
42#14583562—21no—
43#14583562—21no—
44#14583541—21no—
45#14583541—21no—
46#14583538—21no—
47#14583538—21no—
48#14583529C2211yescharacteristic
49#14583529C2211yescharacteristic, complemented
50#14583527C2211yescharacteristic, complemented
51#14583526C2211yescharacteristic
52#14583526C2211yescharacteristic, complemented
53#14583505C2211yescharacteristic
54#14583504C2211yescharacteristic
55#14583503C2211yescharacteristic
56#14583465C2211yescharacteristic
57#14583465C2211yescharacteristic
58#14583455C2211yescharacteristic
59#14583455C2211yescharacteristic
60#14583455C2211yescharacteristic, complemented
61#14583452C2211yescharacteristic, complemented
62#14583446C2211yescharacteristic
63#14583446C2211yescharacteristic
64#14583444C2211yescharacteristic
65#14583444C2211yescharacteristic
66C2×#13063324C2211yescharacteristic, complemented
67C4⋊Q8×D43C2211yescharacteristic
68C4⋊Q8×D43C2211yescharacteristic, complemented
69#127×D43C2211yescharacteristic
70#14583380C2211yescharacteristic
71#14583379C2211yescharacteristic
72#14583371C2211yescharacteristic
73#14583371C2211yescharacteristic
74#14583367C2211yescharacteristic
75#14583309C2211yescharacteristic, complemented
76#14583308C2211yescharacteristic, complemented
77#14583305C2211yescharacteristic, complemented
78#14583303C2211yescharacteristic, complemented
79#14583303C2211yescharacteristic, complemented
80#14583303C2211yescharacteristic, complemented
81#14583303C2211yescharacteristic, complemented
82#14583301C2211yescharacteristic, complemented
83#14583298C2211yescharacteristic, complemented
84#14583298C2211yescharacteristic, complemented
85#14583296C2211yescharacteristic, complemented
86#14583296C2211yescharacteristic, complemented
87#14583296C2211yescharacteristic, complemented
88#14583296C2211yescharacteristic, complemented
89#14583265C2211yescharacteristic
90#14583264C2211yescharacteristic
91#14583263C2211yescharacteristic
92#14583247C2211yescharacteristic
93#14583246C2211yescharacteristic
94#14583245C2211yescharacteristic
95#14583244C2211yescharacteristic
96#14583244C2211yescharacteristic
97#14583244C2211yescharacteristic
98#14583244C2211yescharacteristic
99#14583244C2211yescharacteristic
100#14583244C2211yescharacteristic
101#14583244C2211yescharacteristic
102#14583244C2211yescharacteristic
103#14583226C2211yescharacteristic, complemented
104#14583226C2211yescharacteristic, complemented
105#14583225C2211yescharacteristic, complemented
106#14583225C2211yescharacteristic, complemented
107#14583224C2211yescharacteristic, complemented
108#14583224C2211yescharacteristic, complemented
109#14583223C2211yescharacteristic, complemented
110#14583223C2211yescharacteristic, complemented
111#14583222C2211yescharacteristic, complemented
112#14583222C2211yescharacteristic, complemented
113#14583221C2211yescharacteristic, complemented
114#14583221C2211yescharacteristic, complemented
115#14583220C2211yescharacteristic, complemented
116#14583220C2211yescharacteristic, complemented
117#14583219C2211yescharacteristic, complemented
118#14583219C2211yescharacteristic, complemented
119#14583218C2211yescharacteristic, complemented
120#14583217C2211yescharacteristic, complemented
121#14583216C2211yescharacteristic, complemented
122#14583216C2211yescharacteristic, complemented
123#14583215C2211yescharacteristic, complemented
124#14583214C2211yescharacteristic, complemented
125#14583214C2211yescharacteristic, complemented
126#14583213C2211yescharacteristic, complemented
127#14583212C2211yescharacteristic, complemented
128#14583211C2211yescharacteristic, complemented
129#14583211C2211yescharacteristic, complemented
130#14583210C2211yescharacteristic, complemented
131#14583202C2211yescharacteristic, complemented
132#14583202C2211yescharacteristic, complemented
133#14583201C2211yescharacteristic, complemented
134#14583201C2211yescharacteristic, complemented
135#14583200C2211yescharacteristic, complemented
136#14583200C2211yescharacteristic, complemented
137#14583199C2211yescharacteristic, complemented
138#14583199C2211yescharacteristic, complemented
139#14583198C2211yescharacteristic, complemented
140#14583198C2211yescharacteristic, complemented
141#14583197C2211yescharacteristic, complemented
142#14583197C2211yescharacteristic, complemented
143#14583196C2211yescharacteristic, complemented
144#14583196C2211yescharacteristic, complemented
145#14583190C2211yescharacteristic, complemented
146#14583189C2211yescharacteristic, complemented
147#14583188C2211yescharacteristic, complemented
148#14583188C2211yescharacteristic, complemented
149#14583187C2211yescharacteristic, complemented
150#14583187C2211yescharacteristic, complemented
151#14583186C2211yescharacteristic, complemented
152#14583180C2211yescharacteristic, complemented
153#14583179C2211yescharacteristic, complemented
154#14583178C2211yescharacteristic, complemented
155#14583178C2211yescharacteristic, complemented
156#14583177C2211yescharacteristic, complemented
157#14583177C2211yescharacteristic, complemented
158#14583176C2211yescharacteristic, complemented
159#14582961C2211yescharacteristic, complemented
160#14582960C2211yescharacteristic, complemented
161#14582958C2211yescharacteristic, complemented
162#14582951C2211yescharacteristic, complemented
163#14582951C2211yescharacteristic, complemented
164#14582949C2211yescharacteristic, complemented
165#14582949C2211yescharacteristic, complemented
166#14582940C2211yescharacteristic
167#14582940C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582938C2211yescharacteristic
170#14582936C2211yescharacteristic
171#14582936C2211yescharacteristic
172#14582934C2211yescharacteristic
173#14582934C2211yescharacteristic
174#14582924C2211yescharacteristic
175#14582924C2211yescharacteristic
176#14582902C2211yescharacteristic
177#14582902C2211yescharacteristic
178#14582902C2211yescharacteristic
179#14582902C2211yescharacteristic
180#102×D43C2211yescharacteristic
181#102×D43C2211yescharacteristic
182#102×D43C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582851C2211yescharacteristic
187C4×C8×D43C2211yescharacteristic
188C43×#544C2211yescharacteristic, complemented
189C43×#540C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#499C2211yescharacteristic, complemented
192C43×#490C2211yescharacteristic
193C43×#486C2211yescharacteristic
194C43×#482C2211yescharacteristic, complemented
195C43×#482C2211yescharacteristic, complemented
196C43×#481C2211yescharacteristic, complemented
197C43×#480C2211yescharacteristic, complemented
198C43×#478C2211yescharacteristic, complemented
199C43×#478C2211yescharacteristic, complemented
200C43×#476C2211yescharacteristic, complemented
201C43×#474C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×#10621900—21no—
208C22×Dic86—21no—
209C2×Q8×D43—21no—
210C2×Q8×D43—21no—
211C2×D4×D43—21no—
212C2×D4×D43—21no—
213C2×D4×D43C2311yescharacteristic
214C2×D4×D43C2311yescharacteristic
215C2×#10621872C2311yescharacteristic
216C2×#10621872C2311yescharacteristic
217C2×C8×D43C2311yescharacteristic
218C2×C8×D43C2311yescharacteristic
219#13063325C2311yescharacteristic
220#13063325C2311yescharacteristic
221#13063324—21no—
222#13063324—21no—
223#13063324—21no—
224#13063324—21no—
225#13063324—21no—
226#13063324—21no—
227#13063324—21no—
228#13063324C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063323—21no—
237#13063323—21no—
238#13063323—21no—
239#13063323—21no—
240#13063322C2311yescharacteristic
241#13063321—21no—
242#13063321—21no—
243#13063321—21no—
244#13063321—21no—
245#13063321C2311yescharacteristic
246#13063321C2311yescharacteristic
247#13063317C2311yescharacteristic
248#13063317C2311yescharacteristic
249#13063317C2311yescharacteristic
250#13063316—21no—
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063310—21no—
264#13063310—21no—
265#13063310—21no—
266#13063310—21no—
267#13063306—21no—
268#13063306—21no—
269#13063305—21no—
270#13063305—21no—
271#13063303—21no—
272#13063303—21no—
273#13063303—21no—
274#13063303—21no—
275#13063303—21no—
276#13063303—21no—
277#13063303—21no—
278#13063303—21no—
279#13063303—21no—
280#13063303—21no—
281#13063302—21no—
282#13063302—21no—
283#13063302—21no—
284#13063302—21no—
285#13063301—21no—
286#13063301—21no—
287#13063300—21no—
288#13063300—21no—
289#13063300C2311yescharacteristic
290#13063300C2311yescharacteristic
291#13063299C2311yescharacteristic
292#13063299C2311yescharacteristic
293#13063298—21no—
294#13063298—21no—
295#13063298—21no—
296#13063298—21no—
297#13063297—21no—
298#13063297—21no—
299#13063297—21no—
300#13063297—21no—
301#13063296C2311yescharacteristic
302#13063296C2311yescharacteristic
303#13063295—21no—
304#13063295—21no—
305#13063293—21no—
306#13063293—21no—
307C4×Dic86—21no—
308C4×Dic86—21no—
309C4×Dic86—21no—
310#13063290—21no—
311#13063290—21no—
312#13063290—21no—
313#13063290—21no—
314#13063290—21no—
315#13063290—21no—
316#13063290—21no—
317#13063290D411yescharacteristic
318#13063290D411yescharacteristic
319C4×D172—21no—
320C4×D172C2311yescharacteristic
321C4×D172C2311yescharacteristic
322D4×Dic43C2311yescharacteristic
323D4×Dic43C2311yescharacteristic
324#13063287—21no—
325#13063287D411yescharacteristic
326#13063287D411yescharacteristic
327#13063287C2311yescharacteristic
328#13063287C2311yescharacteristic
329C4×C22⋊D43—21no—
330C4×C22⋊D43—21no—
331C4×C22⋊D43—21no—
332C4×C22⋊D43—21no—
333C4×C22⋊D43—21no—
334C4×C22⋊D43—21no—
335(C22⋊D43)⋊C4—21no—
336(C22⋊D43)⋊C4—21no—
337(C22⋊D43)⋊C4—21no—
338(C22⋊D43)⋊C4—21no—
339(C22⋊D43)⋊C4—21no—
340(C22⋊D43)⋊C4—21no—
341(C22⋊D43)⋊C4D411yescharacteristic
342(C22⋊D43)⋊C4D411yescharacteristic
343(C22⋊D43)⋊C4D411yescharacteristic
344(C22⋊D43)⋊C4D411yescharacteristic
345#13063284C2311yescharacteristic
346#13063283C2311yescharacteristic
347#13063283C2311yescharacteristic
348#13063283C2311yescharacteristic
349#13063283C2311yescharacteristic
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063282C2311yescharacteristic
353#13063282C2311yescharacteristic
354C2×C4⋊Dic43C2311yescharacteristic
355C2×Dic43⋊C4—21no—
356C4⋊C4×D43—21no—
357C4⋊C4×D43—21no—
358C4⋊C4×D43C2311yescharacteristic
359C4⋊C4×D43C2311yescharacteristic
360C4⋊C4×D43C2311yescharacteristic
361C4⋊C4×D43C2311yescharacteristic
362C2×(C2×D43)⋊C4—21no—
363C2×(C2×D43)⋊C4—21no—
364C22⋊C4×D43—21no—
365C22⋊C4×D43—21no—
366C2×C4×Dic43C2311yescharacteristic
367C42×D43C2311yescharacteristic
368C42×D43C2311yescharacteristic
369#13063259C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063259C2311yescharacteristic
372#13063259C2311yescharacteristic
373#13063258C2311yescharacteristic
374#13063258C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063247C2311yescharacteristic
400#13063247C2311yescharacteristic
401#13063247C2311yescharacteristic
402#13063247C2311yescharacteristic
403#13063247C2311yescharacteristic
404#13063247C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063246C2311yescharacteristic
408#13063246C2311yescharacteristic
409#13063246C2311yescharacteristic
410#13063246C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063245C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430C4×C43⋊C8C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C4⋊Q8×C43—21no—
436C4⋊Q8×C43C2311yescharacteristic
437C4⋊Q8×C43C2311yescharacteristic
438#127×C43C2311yescharacteristic
439#125×C43—21no—
440#125×C43C2311yescharacteristic
441#125×C43C2311yescharacteristic
442#125×C43C2311yescharacteristic
443#123×C43—21no—
444#123×C43—21no—
445C22⋊Q8×C43—21no—
446C22⋊Q8×C43—21no—
447#121×C43—21no—
448#121×C43—21no—
449#121×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451C4×D4×C43C2311yescharacteristic
452C4×D4×C43C2311yescharacteristic
453#117×C43C2311yescharacteristic
454#117×C43C2311yescharacteristic
455C2×C4⋊C4×C43C2311yescharacteristic
456#107×C43C2311yescharacteristic
457#107×C43C2311yescharacteristic
458#107×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#106×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#102×C43C2311yescharacteristic
467#102×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C23×D43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43—21no—
482C2×D4×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43C2411yescharacteristic
487C2×D4×C43C2411yescharacteristic
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43C2411yescharacteristic
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43C2×D411yescharacteristic
503C2×C22⋊D43C2×D411yescharacteristic
504C22×Dic43—21no—
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43C2×D411yescharacteristic
508C22×Dic43C2×D411yescharacteristic
509Q8×D43—82no—
510Q8×D43—82no—
511#10621900—82no—
512#10621900—82no—
513D4×D43—22no—
514D4×D43—22no—
515D4×D43—22no—
516D4×D43—22no—
517D4×D43—82no—
518D4×D43—82no—
519#10621898—22no—
520#10621898—22no—
521#10621898—82no—
522#10621898—82no—
523C2×D172—21no—
524C2×D172—21no—
525C2×D172—21no—
526C2×D172—21no—
527C2×D172C2×D411yescharacteristic
528C2×D172C2411yescharacteristic
529C2×D172C2411yescharacteristic
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43C2×D411yescharacteristic
539C2×C4×D43C2×D411yescharacteristic
540C2×C4×D43C2×D411yescharacteristic
541C2×C4×D43C2×D411yescharacteristic
542C2×C4×D43C2411yescharacteristic
543C2×C4×D43C2411yescharacteristic
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×Dic86—21no—
548C2×Dic86—21no—
549C2×Dic86—21no—
550C2×Dic86—21no—
551C2×Dic86—21no—
552C2×Dic86—21no—
553C2×Dic86—21no—
554C2×Dic86—82no—
555C2×Dic86C2×D411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C2×C8×C43C2411yescharacteristic
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43C2×D411yescharacteristic
570C4⋊C4×C43C2×D411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C4⋊C4×C43C2411yescharacteristic
576C4⋊C4×C43C2411yescharacteristic
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43C2×D411yescharacteristic
583C22⋊C4×C43C2×D411yescharacteristic
584C42×C43—21no—
585C42×C43C2411yescharacteristic
586C42×C43C2411yescharacteristic
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4C2×D411yescharacteristic
607(C2×D43)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
609(C2×D43)⋊C4C2×D411yescharacteristic
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43C2411yescharacteristic
616C4⋊Dic43C2411yescharacteristic
617C4⋊Dic43C2411yescharacteristic
618C4⋊Dic43C2411yescharacteristic
619C4⋊Dic43C2411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4C2×D411yescharacteristic
642Dic43⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645C4×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43C2×D411yescharacteristic
653C4×Dic43C2×D411yescharacteristic
654C4×Dic43C2×D411yescharacteristic
655C4×Dic43C2×D411yescharacteristic
656C4×Dic43C2×D411yescharacteristic
657C4×Dic43C2×D411yescharacteristic
658C4×Dic43C2411yescharacteristic
659C4×Dic43C2411yescharacteristic
660C2×C43⋊C8C2411yescharacteristic
661C2×C43⋊C8C2411yescharacteristic
662C2×C43⋊C8C2411yescharacteristic
663C2×C43⋊C8C2411yescharacteristic
664#10621872—22no—
665#10621872—22no—
666C8×D43—22no—
667C8×D43—22no—
668C23×C43—21no—
669C23×C43—21no—
670C23×C43C22×D411yescharacteristic
671C22×D43—21no—
672C22×D43—21no—
673C22×D43—42no—
674C22×D43—42no—
675C22×D43—81no—
676C22×D43—81no—
677C22×D43—81no—
678C22×D43—81no—
679C22×D43C22×D411yescharacteristic
680C22×D43C22×D411yescharacteristic
681Q8×C43—81no—
682Q8×C43—81no—
683D4×C43—21no—
684D4×C43—21no—
685D4×C43—21no—
686D4×C43—21no—
687D4×C43—81no—
688D4×C43—81no—
689D4×C43—81no—
690D4×C43—81no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—81no—
700C2×C4×C43—81no—
701C2×C4×C43—81no—
702C2×C4×C43C22×D411yescharacteristic
703C2×C4×C43C22×D411yescharacteristic
704C2×C4×C43C22×D411yescharacteristic
705C2×C4×C43C22×D411yescharacteristic
706C2×C4×C43C22×D411yescharacteristic
707C2×C4×C43C2511yescharacteristic
708C22⋊D43—22no—
709C22⋊D43—22no—
710C22⋊D43—42no—
711C22⋊D43—42no—
712C22⋊D43—42no—
713C22⋊D43—42no—
714C22⋊D43—42no—
715C22⋊D43—42no—
716C22⋊D43—81no—
717C22⋊D43—81no—
718C22⋊D43—81no—
719C22⋊D43—81no—
720C2×Dic43—22no—
721C2×Dic43—22no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—81no—
729C2×Dic43—81no—
730C2×Dic43—81no—
731C2×Dic43C22×D411yescharacteristic
732C2×Dic43C22×D411yescharacteristic
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735C2×Dic43C22×D411yescharacteristic
736C2×Dic43C22×D411yescharacteristic
737D172—22no—
738D172—21no—
739D172—21no—
740D172—21no—
741D172—21no—
742D172—81no—
743D172—81no—
744D172—81no—
745D172—81no—
746C4×D43—21no—
747C4×D43—21no—
748C4×D43—22no—
749C4×D43—22no—
750C4×D43—22no—
751C4×D43—22no—
752C4×D43—81no—
753C4×D43—81no—
754C4×D43—81no—
755C4×D43—81no—
756C4×D43—81no—
757C4×D43—81no—
758C4×D43—81no—
759C4×D43—81no—
760C4×D432−1+412yes—
761C4×D432−1+412yes—
762Dic86—22no—
763Dic86—42no—
764Dic86—42no—
765Dic86—42no—
766Dic86—42no—
767Dic86—42no—
768Dic86—42no—
769Dic86—81no—
770Dic86—81no—
771Dic86—81no—
772Dic86—81no—
773C8×C43—21no—
774C8×C43—21no—
775C8×C43—21no—
776C8×C43—21no—
777C43⋊C8—21no—
778C43⋊C8—21no—
779C43⋊C8—21no—
780C43⋊C8—21no—
781#60877—431nomaximal, Sylow
782C22×C43—21no—
783C22×C43—21no—
784C22×C43—21no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43C23×D411yescharacteristic
792C2×D43—21no—
793C2×D43—21no—
794C2×D43—21no—
795C2×D43—21no—
796C2×D43—21no—
797C2×D43—41no—
798C2×D43—41no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—41no—
803C2×D43—162no—
804C2×D43—162no—
805C2×D43#53612yes—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—21no—
810C4×C43—21no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43—41no—
817C4×C43C2×2−1+411yescharacteristic
818C4×C43C2×2−1+411yescharacteristic
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—41no—
823Dic43—41no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43#53612yes—
829Dic43#57612yes—
830Dic43#57712yes—
831#3508—431no—
832#3503—431no—
833#3241—431no—
834#3241—431no—
835#3241—431no—
836#3241—431no—
837#3241—431no—
838#3241—431no—
839#3241—431no—
840#3241D4311yescharacteristic, complemented
841#3228—431no—
842#3228—431no—
843#3228—431no—
844#3228—431no—
845#3227—431no—
846#3227—431no—
847#3226—431no—
848#3226—431no—
849#3165—431no—
850#3160—431no—
851#3138—431no—
852C2×#486—431no—
853#3096—431no—
854#3096—431no—
855#3096—431no—
856#3096—431no—
857#3081—431no—
858#3081—431no—
859#3081—431no—
860#3081—431no—
861#2922—431no—
862C2×C43—41no—
863C2×C43—81no—
864C2×C43—81no—
865C2×C43C2×#53611yescharacteristic
866C2×C43C2×#57611yescharacteristic
867C2×C43C2×#57711yescharacteristic
868D43—22no—
869D43—41no—
870D43—81no—
871D43—81no—
872#559—861no—
873#559—861no—
874Q82—861no—
875#557—861no—
876#554—861no—
877#554—861no—
878#554—861no—
879#550—861no—
880#550—861no—
881D4×Q8—861no—
882D4×Q8—861no—
883D4×Q8—861no—
884#546—861no—
885#546—861no—
886#546—861no—
887#546—861no—
888#544—431no—
889#544—431no—
890#544—431no—
891#544—431no—
892#544—431no—
893#544C2×D4311yescharacteristic, complemented
894#540—431no—
895#540—431no—
896#540—431no—
897#540C2×D4311yescharacteristic
898#535—431no—
899#535—431no—
900#533—431no—
901#533—431no—
902#533—431no—
903#533—431no—
904#532—431no—
905#532—431no—
906#532—431no—
907#532—431no—
908C2×C4⋊Q8—431no—
909C2×C4⋊Q8—431no—
910C2×C4⋊Q8—431no—
911C2×#127—431no—
912#520—431no—
913#520—431no—
914#518—431no—
915#518—431no—
916C4×#41—431no—
917#501—431no—
918#501—431no—
919#501—431no—
920#501C2×D4311yescharacteristic, complemented
921#500—431no—
922#500—431no—
923#500—431no—
924#500—431no—
925#499—431no—
926#499—431no—
927#499—431no—
928#499C2×D4311yescharacteristic, complemented
929#498—431no—
930#498—431no—
931#498—431no—
932#498—431no—
933#490—431no—
934#490—431no—
935#490—431no—
936#490C2×D4311yescharacteristic
937#486—431no—
938#486—431no—
939#486—431no—
940#486—431no—
941#486—431no—
942#486—431no—
943#486—431no—
944#486—431no—
945#486—431no—
946#486—431no—
947#486—431no—
948#486C2×D4311yescharacteristic
949#482—431no—
950#482—431no—
951#482—431no—
952#482—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482—431no—
958#482—431no—
959#482—431no—
960#482—431no—
961#482—431no—
962#482—431no—
963#482C2×D4311yescharacteristic, complemented
964#482C2×D4311yescharacteristic, complemented
965#481—431no—
966#481—431no—
967#481—431no—
968#481—431no—
969#481—431no—
970#481—431no—
971#481—431no—
972#481C2×D4311yescharacteristic, complemented
973#480—431no—
974#480—431no—
975#480—431no—
976#480—431no—
977#480—431no—
978#480—431no—
979#480—431no—
980#480C2×D4311yescharacteristic, complemented
981#478—431no—
982#478—431no—
983#478—431no—
984#478—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#478—431no—
991#478—431no—
992#478—431no—
993#478—431no—
994#478—431no—
995#478C2×D4311yescharacteristic, complemented
996#478C2×D4311yescharacteristic, complemented
997#476—431no—
998#476—431no—
999#476—431no—
1000#476—431no—
1001#476—431no—
1002#476—431no—
1003#476—431no—
1004#476C2×D4311yescharacteristic, complemented
1005#474—431no—
1006#474—431no—
1007#474—431no—
1008#474—431no—
1009#474—431no—
1010#474—431no—
1011#474—431no—
1012#474C2×D4311yescharacteristic, complemented
1013#433—431no—
1014#433—431no—
1015#433—431no—
1016#433C2×D4311yescharacteristic, complemented
1017#431—431no—
1018#431—431no—
1019#431—431no—
1020#431—431no—
1021#428—431no—
1022#428—431no—
1023#428—431no—
1024#428—431no—
1025#427—431no—
1026#427—431no—
1027#427—431no—
1028#427—431no—
1029#424—431no—
1030#424—431no—
1031#418—431no—
1032#418—431no—
1033#418—431no—
1034#418—431no—
1035C2×#102—431no—
1036C2×#102—431no—
1037C2×#102—431no—
1038C2×#102—431no—
1039#408—431no—
1040#408—431no—
1041C4×M16—431no—
1042C2×C4×C8—431no—
1043C43#6087711yescharacteristic, complemented, Sylow
1044C2×#41—431no—
1045C2×#41—861no—
1046C2×#41—861no—
1047C2×#41—861no—
1048C2×#41—861no—
1049C22×Q8—861no—
1050C22×Q8—861no—
1051C22×Q8—861no—
1052C22×D4—431no—
1053C22×D4—431no—
1054C22×D4—861no—
1055C22×D4—861no—
1056C2×M16—431no—
1057C2×M16—431no—
1058C22×C8—431no—
1059C22×C8—431no—
1060C4⋊Q8—21no—
1061C4⋊Q8—431no—
1062C4⋊Q8—431no—
1063C4⋊Q8—431no—
1064C4⋊Q8—431no—
1065C4⋊Q8—431no—
1066C4⋊Q8—431no—
1067C4⋊Q8—431no—
1068C4⋊Q8—431no—
1069C4⋊Q8—431no—
1070C4⋊Q8—431no—
1071C4⋊Q8—861no—
1072C4⋊Q8—861no—
1073C4⋊Q8—861no—
1074C4⋊Q8—861no—
1075C4⋊Q8—861no—
1076C4⋊Q8—861no—
1077C4⋊Q8—861no—
1078C4⋊Q8—861no—
1079C4⋊Q8—861no—
1080C4⋊Q8—861no—
1081C4⋊Q8—861no—
1082C4⋊Q8C22×D4311yescharacteristic
1083C4⋊Q8C22×D4311yescharacteristic
1084#127—431no—
1085#127—431no—
1086#127—431no—
1087#127—861no—
1088#127—861no—
1089#127—861no—
1090#127—861no—
1091#127C22×D4311yescharacteristic
1092#125—21no—
1093#125—431no—
1094#125—431no—
1095#125—431no—
1096#125—431no—
1097#125—431no—
1098#125—861no—
1099#125—861no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#125C22×D4311yescharacteristic
1104#125C22×D4311yescharacteristic
1105#125C22×D4311yescharacteristic
1106#124—861no—
1107#124—861no—
1108#124—861no—
1109#124—861no—
1110#124—861no—
1111#124—861no—
1112#123—21no—
1113#123—21no—
1114#123—861no—
1115#123—861no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120C22⋊Q8—21no—
1121C22⋊Q8—21no—
1122C22⋊Q8—861no—
1123C22⋊Q8—861no—
1124C22⋊Q8—861no—
1125C22⋊Q8—861no—
1126C22⋊Q8—861no—
1127C22⋊Q8—861no—
1128C22⋊Q8—861no—
1129C22⋊Q8—861no—
1130C22⋊Q8—861no—
1131C22⋊Q8—861no—
1132C22⋊Q8—861no—
1133C22⋊Q8—861no—
1134C22⋊Q8—861no—
1135C22⋊Q8—861no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140#121—21no—
1141#121—21no—
1142#121—431no—
1143#121—431no—
1144#121—431no—
1145#121—431no—
1146#121—431no—
1147#121—431no—
1148#121—861no—
1149#121—861no—
1150#121—861no—
1151#121—861no—
1152#121—861no—
1153#121—861no—
1154#121—861no—
1155#121—861no—
1156#121—861no—
1157#121—861no—
1158#121C22×D4311yescharacteristic
1159#121C22×D4311yescharacteristic
1160#120—861no—
1161#120—861no—
1162#120—861no—
1163#120—861no—
1164C4×Q8—431no—
1165C4×Q8—431no—
1166C4×Q8—861no—
1167C4×Q8—861no—
1168C4×Q8—861no—
1169C4×Q8—861no—
1170C4×Q8—861no—
1171C4×Q8—861no—
1172C4×Q8—861no—
1173C4×Q8—861no—
1174C4×Q8—861no—
1175C4×Q8—861no—
1176C4×D4—431no—
1177C4×D4—431no—
1178C4×D4—431no—
1179C4×D4—431no—
1180C4×D4—431no—
1181C4×D4—431no—
1182C4×D4—431no—
1183C4×D4—431no—
1184C4×D4—431no—
1185C4×D4—431no—
1186C4×D4—431no—
1187C4×D4—431no—
1188C4×D4—861no—
1189C4×D4—861no—
1190C4×D4—861no—
1191C4×D4—861no—
1192C4×D4—861no—
1193C4×D4—861no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4C22×D4311yescharacteristic
1203C4×D4C22×D4311yescharacteristic
1204#117—431no—
1205#117—431no—
1206#117—431no—
1207#117—431no—
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—431no—
1213#117C22×D4311yescharacteristic
1214#117C22×D4311yescharacteristic
1215C2×C4⋊C4—431no—
1216C2×C4⋊C4—431no—
1217C2×C4⋊C4—431no—
1218C2×C4⋊C4—431no—
1219C2×C4⋊C4—431no—
1220C2×C4⋊C4—861no—
1221C2×C4⋊C4—861no—
1222C2×C4⋊C4—861no—
1223C2×C4⋊C4C22×D4311yescharacteristic
1224C2×C22⋊C4—861no—
1225C2×C22⋊C4—861no—
1226C2×C22⋊C4—861no—
1227C2×C22⋊C4—861no—
1228C2×C42—431no—
1229C2×C42—431no—
1230C2×C42—431no—
1231#107—431no—
1232#107—431no—
1233#107—431no—
1234#107—431no—
1235#107—431no—
1236#107—431no—
1237#107—431no—
1238#107—431no—
1239#107—431no—
1240#107—431no—
1241#107—431no—
1242#107—431no—
1243#107C22×D4311yescharacteristic
1244#107C22×D4311yescharacteristic
1245#107C22×D4311yescharacteristic
1246#107C22×D4311yescharacteristic
1247#106—431no—
1248#106—431no—
1249#106—431no—
1250#106—431no—
1251#106—431no—
1252#106—431no—
1253#106—431no—
1254#106—431no—
1255#106—431no—
1256#106—431no—
1257#106—431no—
1258#106—431no—
1259#106C22×D4311yescharacteristic
1260#106C22×D4311yescharacteristic
1261#106C22×D4311yescharacteristic
1262#106C22×D4311yescharacteristic
1263C4⋊C8—431no—
1264C4⋊C8—431no—
1265C4⋊C8—431no—
1266C4⋊C8—431no—
1267C4⋊C8—431no—
1268C4⋊C8—431no—
1269C4⋊C8C22×D4311yescharacteristic
1270C4⋊C8C22×D4311yescharacteristic
1271#102—431no—
1272#102—431no—
1273#102—431no—
1274#102—431no—
1275#102—431no—
1276#102—431no—
1277#102—431no—
1278#102—431no—
1279#102—431no—
1280#102—431no—
1281#102—431no—
1282#102—431no—
1283#102—431no—
1284#102—431no—
1285#102—431no—
1286#102—431no—
1287#102—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102—431no—
1295#102C22×D4311yescharacteristic
1296#102C22×D4311yescharacteristic
1297#102C22×D4311yescharacteristic
1298#102C22×D4311yescharacteristic
1299#102C22×D4311yescharacteristic
1300#102C22×D4311yescharacteristic
1301#102C22×D4311yescharacteristic
1302#102C22×D4311yescharacteristic
1303C22⋊C8—431no—
1304C22⋊C8—431no—
1305C22⋊C8—431no—
1306C22⋊C8—431no—
1307C22⋊C8—431no—
1308C22⋊C8—431no—
1309C22⋊C8C22×D4311yescharacteristic
1310C22⋊C8C22×D4311yescharacteristic
1311#97—431no—
1312#97C22×D4311yescharacteristic
1313C4×C8—431no—
1314C4×C8—431no—
1315C4×C8—431no—
1316C4×C8—431no—
1317C4×C8—431no—
1318C4×C8C22×D4311yescharacteristic
1319C24—861no—
1320C24—861no—
1321#41—862no—
1322#41—862no—
1323#41—3442no—
1324#41—3442no—
1325#41—3442no—
1326#41—3442no—
1327C2×Q8—21no—
1328C2×Q8—21no—
1329C2×Q8—431no—
1330C2×Q8—861no—
1331C2×Q8—861no—
1332C2×Q8—861no—
1333C2×Q8—861no—
1334C2×Q8—861no—
1335C2×Q8—861no—
1336C2×Q8—861no—
1337C2×Q8—861no—
1338C2×Q8—861no—
1339C2×Q8—861no—
1340C2×Q8—3442no—
1341C2×Q8—3442no—
1342C2×Q8—3442no—
1343C2×D4—21no—
1344C2×D4—21no—
1345C2×D4—21no—
1346C2×D4—21no—
1347C2×D4—431no—
1348C2×D4—431no—
1349C2×D4—431no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4—862no—
1355C2×D4—862no—
1356C2×D4—862no—
1357C2×D4—862no—
1358C2×D4—861no—
1359C2×D4—861no—
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×D4—861no—
1369C2×D4—861no—
1370C2×D4—3442no—
1371C2×D4—3442no—
1372C2×D4C23×D4311yescharacteristic
1373C2×D4C23×D4311yescharacteristic
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—431no—
1378C22×C4—431no—
1379C22×C4—431no—
1380C22×C4—431no—
1381C22×C4—431no—
1382C22×C4—431no—
1383C22×C4—431no—
1384C22×C4—431no—
1385C22×C4—861no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4C23×D4311yescharacteristic
1397M16—862no—
1398M16—862no—
1399C2×C8—431no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8—862no—
1404C2×C8—862no—
1405C2×C8C23×D4311yescharacteristic
1406C2×C8C23×D4311yescharacteristic
1407C2×C8C23×D4311yescharacteristic
1408C2×C8C23×D4311yescharacteristic
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1454C4⋊C4D4×D4311yescharacteristic
1455C4⋊C4C23×D4311yescharacteristic
1456C4⋊C4C23×D4311yescharacteristic
1457C4⋊C4C23×D4311yescharacteristic
1458C4⋊C4C23×D4311yescharacteristic
1459C4⋊C4C23×D4311yescharacteristic
1460C4⋊C4C23×D4311yescharacteristic
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—431no—
1467C22⋊C4—431no—
1468C22⋊C4—431no—
1469C22⋊C4—431no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4D4×D4311yescharacteristic
1490C22⋊C4D4×D4311yescharacteristic
1491C42—21no—
1492C42—431no—
1493C42—431no—
1494C42—431no—
1495C42—431no—
1496C42—431no—
1497C42—431no—
1498C42—431no—
1499C42—431no—
1500C42—861no—
1501C42—861no—
1502C42—861no—
1503C42—861no—
1504C42—861no—
1505C42—861no—
1506C42—861no—
1507C42C23×D4311yescharacteristic
1508C42C23×D4311yescharacteristic
1509C23—21no—
1510C23—21no—
1511C23—431no—
1512C23—431no—
1513C23—861no—
1514C23—861no—
1515C23—3441no—
1516C23—3441no—
1517C23—3441no—
1518C23—3441no—
1519C23—1722no—
1520C23—1722no—
1521C23C2×D4×D4311yescharacteristic
1522Q8—81no—
1523Q8—81no—
1524Q8—862no—
1525Q8—3441no—
1526Q8—3441no—
1527Q8—3441no—
1528Q8—3441no—
1529Q8—1722no—
1530Q8—1722no—
1531Q8—1722no—
1532Q8—1722no—
1533Q8—1722no—
1534Q8—1722no—
1535D4—21no—
1536D4—21no—
1537D4—21no—
1538D4—21no—
1539D4—81no—
1540D4—81no—
1541D4—81no—
1542D4—81no—
1543D4—862no—
1544D4—862no—
1545D4—862no—
1546D4—861no—
1547D4—861no—
1548D4—861no—
1549D4—861no—
1550D4—3441no—
1551D4—3441no—
1552D4—3441no—
1553D4—3441no—
1554D4—3441no—
1555D4—3441no—
1556D4—3441no—
1557D4—3441no—
1558D4—1722no—
1559D4—1722no—
1560D4—1722no—
1561D4—1722no—
1562D4—1722no—
1563D4—1722no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—81no—
1575C2×C4—431no—
1576C2×C4—431no—
1577C2×C4—431no—
1578C2×C4—432no—
1579C2×C4—432no—
1580C2×C4—431no—
1581C2×C4—431no—
1582C2×C4—431no—
1583C2×C4—862no—
1584C2×C4—862no—
1585C2×C4—862no—
1586C2×C4—862no—
1587C2×C4—862no—
1588C2×C4—862no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—3441no—
1598C2×C4—3441no—
1599C2×C4—3441no—
1600C2×C4—3441no—
1601C2×C4—3441no—
1602C2×C4—3441no—
1603C2×C4—3441no—
1604C2×C4—3441no—
1605C2×C4—3441no—
1606C2×C4—3441no—
1607C2×C4—3441no—
1608C2×C4C2×D4×D4311yescharacteristic
1609C2×C4C2×D4×D4311yescharacteristic
1610C2×C4C2×D4×D4311yescharacteristic
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C24×D4311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—861no—
1619C8—861no—
1620C8—861no—
1621C8—861no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—432no—
1632C22—861no—
1633C22—861no—
1634C22—861no—
1635C22—861no—
1636C22—861no—
1637C22—1721no—
1638C22—1721no—
1639C22—1721no—
1640C22—1721no—
1641C22—1721no—
1642C22—1721no—
1643C22—6882no—
1644C22—6882no—
1645C22C22×D4×D4311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—432no—
1658C4—432no—
1659C4—432no—
1660C4—861no—
1661C4—861no—
1662C4—861no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4—1721no—
1667C4—1721no—
1668C4—1721no—
1669C42−1+4×D4311yescharacteristic
1670C42−1+4×D4311yescharacteristic
1671C2—41no—
1672C2—81no—
1673C2—81no—
1674C2—862no—
1675C2—3441no—
1676C2—3441no—
1677C2—1721no—
1678C2#536×D4311yescharacteristic
1679C2#576×D4311yescharacteristic
1680C2#577×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3241C2
socleC22×C43C23×D4
prime radical#19148467C2
hypercenter#3241D43
hypocenterC43#60877
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3241

Complements

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

NH ≅ G/Ntype
2. #19148410C2semidirect
3. #19145851C2semidirect
4. #19145850C2semidirect
5. #19145849C2semidirect
6. #19145848C2semidirect
7. #19145843C2semidirect
8. #19145842C2semidirect
9. #19145841C2semidirect
10. #19145730C2semidirect
11. #19145730C2semidirect
12. #19145729C2semidirect
13. #19145729C2semidirect
14. #19145722C2semidirect
15. #19145721C2semidirect
16. #19145715C2semidirect
17. #19145714C2semidirect
18. #19145140C2semidirect
19. #19145108C2semidirect
20. #19144968C2semidirect
21. #486×D43C2semidirect
22. #19144552C2semidirect
23. #19144550C2semidirect
24. #19144548C2semidirect
25. #19144546C2semidirect
26. #19144425C2semidirect
27. #19144423C2semidirect
28. #19144421C2semidirect
29. #19144419C2semidirect
30. #19143236C2semidirect
31. C43×#3241C2semidirect
49. #14583529C22semidirect
50. #14583527C22semidirect
52. #14583526C22semidirect
60. #14583455C22semidirect
61. #14583452C22semidirect
66. C2×#13063324C22semidirect
68. C4⋊Q8×D43C22semidirect
75. #14583309C22semidirect
76. #14583308C22semidirect
77. #14583305C22semidirect
78. #14583303C22semidirect
79. #14583303C22semidirect
80. #14583303C22semidirect
81. #14583303C22semidirect
82. #14583301C22semidirect
83. #14583298C22semidirect
84. #14583298C22semidirect
85. #14583296C22semidirect
86. #14583296C22semidirect
87. #14583296C22semidirect
88. #14583296C22semidirect
103. #14583226C22semidirect
104. #14583226C22semidirect
105. #14583225C22semidirect
106. #14583225C22semidirect
107. #14583224C22semidirect
108. #14583224C22semidirect
109. #14583223C22semidirect
110. #14583223C22semidirect
111. #14583222C22semidirect
112. #14583222C22semidirect
113. #14583221C22semidirect
114. #14583221C22semidirect
115. #14583220C22semidirect
116. #14583220C22semidirect
117. #14583219C22semidirect
118. #14583219C22semidirect
119. #14583218C22semidirect
120. #14583217C22semidirect
121. #14583216C22semidirect
122. #14583216C22semidirect
123. #14583215C22semidirect
124. #14583214C22semidirect
125. #14583214C22semidirect
126. #14583213C22semidirect
127. #14583212C22semidirect
128. #14583211C22semidirect
129. #14583211C22semidirect
130. #14583210C22semidirect
131. #14583202C22semidirect
132. #14583202C22semidirect
133. #14583201C22semidirect
134. #14583201C22semidirect
135. #14583200C22semidirect
136. #14583200C22semidirect
137. #14583199C22semidirect
138. #14583199C22semidirect
139. #14583198C22semidirect
140. #14583198C22semidirect
141. #14583197C22semidirect
142. #14583197C22semidirect
143. #14583196C22semidirect
144. #14583196C22semidirect
145. #14583190C22semidirect
146. #14583189C22semidirect
147. #14583188C22semidirect
148. #14583188C22semidirect
149. #14583187C22semidirect
150. #14583187C22semidirect
151. #14583186C22semidirect
152. #14583180C22semidirect
153. #14583179C22semidirect
154. #14583178C22semidirect
155. #14583178C22semidirect
156. #14583177C22semidirect
157. #14583177C22semidirect
158. #14583176C22semidirect
159. #14582961C22semidirect
160. #14582960C22semidirect
161. #14582958C22semidirect
162. #14582951C22semidirect
163. #14582951C22semidirect
164. #14582949C22semidirect
165. #14582949C22semidirect
188. C43×#544C22semidirect
190. C43×#501C22semidirect
191. C43×#499C22semidirect
194. C43×#482C22semidirect
195. C43×#482C22semidirect
196. C43×#481C22semidirect
197. C43×#480C22semidirect
198. C43×#478C22semidirect
199. C43×#478C22semidirect
200. C43×#476C22semidirect
201. C43×#474C22semidirect
202. C43×#433C22semidirect
840. #3241D43semidirect
893. #544C2×D43semidirect
920. #501C2×D43semidirect
928. #499C2×D43semidirect
963. #482C2×D43semidirect
964. #482C2×D43semidirect
972. #481C2×D43semidirect
980. #480C2×D43semidirect
995. #478C2×D43semidirect
996. #478C2×D43semidirect
1004. #476C2×D43semidirect
1012. #474C2×D43semidirect
1016. #433C2×D43semidirect
1043. C43#60877semidirect

Maximal subgroups

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

subgroupindex
#191484672
#191484102
#191458512
#191458502
#191458492
#191458482
#191458432
#191458422
#191458412
#191457302
#191457292
#191457222
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