Finite Group Databasebeta

← #25969052

Subgroups — #25969052

Order 11008.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148322C211yesmaximal, characteristic
2#19147999C211yesmaximal, characteristic, complemented
3#19145895C211yesmaximal, characteristic, complemented
4#19145891C211yesmaximal, characteristic, complemented
5#19145878C211yesmaximal, characteristic, complemented
6#19145874C211yesmaximal, characteristic, complemented
7#19145852C211yesmaximal, characteristic, complemented
8#19145846C211yesmaximal, characteristic, complemented
9#19145842C211yesmaximal, characteristic, complemented
10#19145838C211yesmaximal, characteristic, complemented
11#19145834C211yesmaximal, characteristic, complemented
12#19145792C211yesmaximal, characteristic, complemented
13#19145788C211yesmaximal, characteristic, complemented
14#19145775C211yesmaximal, characteristic, complemented
15#19145773C211yesmaximal, characteristic, complemented
16#19145730C211yesmaximal, characteristic, complemented
17#19145728C211yesmaximal, characteristic, complemented
18#19145130C211yesmaximal, characteristic, complemented
19#19145124C211yesmaximal, characteristic, complemented
20#19144950C211yesmaximal, characteristic, complemented
21#19144944C211yesmaximal, characteristic, complemented
22#19144530C211yesmaximal, characteristic, complemented
23#19144523C211yesmaximal, characteristic, complemented
24#19144505C211yesmaximal, characteristic, complemented
25#482×D43C211yesmaximal, characteristic, complemented
26#19144458C211yesmaximal, characteristic, complemented
27#19144441C211yesmaximal, characteristic, complemented
28#19144425C211yesmaximal, characteristic, complemented
29#19144421C211yesmaximal, characteristic, complemented
30#19143251C211yesmaximal, characteristic, complemented
31C43×#3241C211yesmaximal, characteristic, complemented
32#14583613—21no—
33#14583594—21no—
34#14583592—21no—
35#14583577—21no—
36#14583572—21no—
37#14583547—21no—
38#14583546—21no—
39#14583538—21no—
40#14583530C2211yescharacteristic, complemented
41#14583529—21no—
42#14583529C2211yescharacteristic
43#14583529C2211yescharacteristic
44#14583529C2211yescharacteristic
45#14583527C2211yescharacteristic, complemented
46#14583527C2211yescharacteristic, complemented
47#14583526—21no—
48#14583526C2211yescharacteristic
49#14583526C2211yescharacteristic
50#14583524—21no—
51#14583524—21no—
52#14583520C2211yescharacteristic
53#14583516C2211yescharacteristic
54#14583502C2211yescharacteristic
55#14583462C2211yescharacteristic
56#14583455—21no—
57#14583455C2211yescharacteristic, complemented
58#14583455C2211yescharacteristic, complemented
59#14583454—21no—
60#14583454C2211yescharacteristic, complemented
61#14583454C2211yescharacteristic, complemented
62#14583451—21no—
63#14583451—21no—
64#14583447C2211yescharacteristic
65#14583446C2211yescharacteristic
66#14583434C2211yescharacteristic
67#14583431C2211yescharacteristic
68#14583409C2211yescharacteristic
69#121×D43C2211yescharacteristic
70#14583378C2211yescharacteristic
71#14583371C2211yescharacteristic
72C2×#13063283C2211yescharacteristic
73#117×D43C2211yescharacteristic
74#117×D43C2211yescharacteristic
75#14583309C2211yescharacteristic, complemented
76#14583309C2211yescharacteristic, complemented
77#14583308C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583307C2211yescharacteristic, complemented
81#14583306C2211yescharacteristic, complemented
82#14583303C2211yescharacteristic, complemented
83#14583302C2211yescharacteristic, complemented
84#14583299C2211yescharacteristic, complemented
85#14583299C2211yescharacteristic, complemented
86#14583298C2211yescharacteristic, complemented
87#14583297C2211yescharacteristic, complemented
88#14583296C2211yescharacteristic, complemented
89#14583263C2211yescharacteristic, complemented
90#14583262C2211yescharacteristic, complemented
91#14583262C2211yescharacteristic, complemented
92#14583261C2211yescharacteristic, complemented
93#14583259C2211yescharacteristic, complemented
94#14583257C2211yescharacteristic, complemented
95#14583257C2211yescharacteristic, complemented
96#14583256C2211yescharacteristic, complemented
97#14583254C2211yescharacteristic, complemented
98#14583252C2211yescharacteristic, complemented
99#14583252C2211yescharacteristic, complemented
100#14583245C2211yescharacteristic, complemented
101#14583244C2211yescharacteristic, complemented
102#14583244C2211yescharacteristic, complemented
103#14583243C2211yescharacteristic, complemented
104#14583243C2211yescharacteristic, complemented
105#14583243C2211yescharacteristic, complemented
106#14583242C2211yescharacteristic, complemented
107#14583241C2211yescharacteristic, complemented
108#14583240C2211yescharacteristic, complemented
109#14583234C2211yescharacteristic, complemented
110#14583230C2211yescharacteristic, complemented
111#14583226C2211yescharacteristic
112#14583226C2211yescharacteristic
113#14583226C2211yescharacteristic
114#14583225C2211yescharacteristic
115#14583224C2211yescharacteristic
116#14583223C2211yescharacteristic
117#14583222C2211yescharacteristic
118#14583222C2211yescharacteristic
119#14583222C2211yescharacteristic
120#14583222C2211yescharacteristic, complemented
121#14583222C2211yescharacteristic, complemented
122#14583222C2211yescharacteristic, complemented
123#14583221C2211yescharacteristic
124#14583221C2211yescharacteristic, complemented
125#14583220C2211yescharacteristic
126#14583220C2211yescharacteristic, complemented
127#14583218C2211yescharacteristic
128#14583215C2211yescharacteristic
129#14583212C2211yescharacteristic
130#14583210C2211yescharacteristic, complemented
131#14583207C2211yescharacteristic, complemented
132#14583205C2211yescharacteristic, complemented
133#14583205C2211yescharacteristic, complemented
134#14583203C2211yescharacteristic, complemented
135#14583201C2211yescharacteristic, complemented
136#14583201C2211yescharacteristic, complemented
137#14583201C2211yescharacteristic, complemented
138#14583201C2211yescharacteristic, complemented
139#14583200C2211yescharacteristic, complemented
140#14583199C2211yescharacteristic, complemented
141#14583199C2211yescharacteristic, complemented
142#14583198C2211yescharacteristic, complemented
143#14583198C2211yescharacteristic, complemented
144#14583196C2211yescharacteristic, complemented
145#14583193C2211yescharacteristic, complemented
146#14583191C2211yescharacteristic, complemented
147#14583190C2211yescharacteristic, complemented
148#14583189C2211yescharacteristic, complemented
149#14583188C2211yescharacteristic, complemented
150#14583187C2211yescharacteristic, complemented
151#14583187C2211yescharacteristic, complemented
152#14583185C2211yescharacteristic, complemented
153#14583183C2211yescharacteristic, complemented
154#14583179C2211yescharacteristic, complemented
155#14583178C2211yescharacteristic, complemented
156#14583177C2211yescharacteristic, complemented
157#14583177C2211yescharacteristic, complemented
158#14583176C2211yescharacteristic, complemented
159#14582960C2211yescharacteristic, complemented
160#14582957C2211yescharacteristic, complemented
161#14582957C2211yescharacteristic, complemented
162#14582955C2211yescharacteristic, complemented
163#14582954C2211yescharacteristic, complemented
164#14582951C2211yescharacteristic, complemented
165#14582950C2211yescharacteristic, complemented
166#14582940C2211yescharacteristic
167#14582940C2211yescharacteristic
168#14582940C2211yescharacteristic
169#14582938C2211yescharacteristic
170#14582934C2211yescharacteristic
171#14582934C2211yescharacteristic
172#107×D43C2211yescharacteristic
173#106×D43C2211yescharacteristic
174#14582924C2211yescharacteristic
175#14582924C2211yescharacteristic
176#14582902C2211yescharacteristic
177#14582902C2211yescharacteristic
178#14582897C2211yescharacteristic
179#14582897C2211yescharacteristic
180#14582892C2211yescharacteristic
181#14582892C2211yescharacteristic
182#102×D43C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#14582861C2211yescharacteristic
185C22⋊C8×D43C2211yescharacteristic
186#14582856C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#544C2211yescharacteristic, complemented
189C43×#540C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#499C2211yescharacteristic, complemented
192C43×#490C2211yescharacteristic, complemented
193C43×#486C2211yescharacteristic, complemented
194C43×#482C2211yescharacteristic
195C43×#482C2211yescharacteristic, complemented
196C43×#481C2211yescharacteristic, complemented
197C43×#480C2211yescharacteristic
198C43×#478C2211yescharacteristic, complemented
199C43×#478C2211yescharacteristic, complemented
200C43×#476C2211yescharacteristic, complemented
201C43×#474C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621900—21no—
205C2×#10621900C2311yescharacteristic
206C2×D4×D43—21no—
207C2×D4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209C2×#10621872C2311yescharacteristic
210C2×#10621872C2311yescharacteristic
211C2×C8×D43C2311yescharacteristic
212C2×C8×D43C2311yescharacteristic
213#13063325—21no—
214#13063325C2311yescharacteristic
215#13063325C2311yescharacteristic
216#13063325C2311yescharacteristic
217#13063324—21no—
218#13063324—21no—
219#13063324—21no—
220#13063324—21no—
221#13063324—21no—
222#13063324C2311yescharacteristic
223#13063324C2311yescharacteristic
224#13063324C2311yescharacteristic
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063323—21no—
228#13063323—21no—
229#13063321C2311yescharacteristic
230#13063320—21no—
231#13063320—21no—
232#13063318—21no—
233#13063318—21no—
234#13063317—21no—
235#13063317C2311yescharacteristic
236#13063317C2311yescharacteristic
237#13063316—21no—
238#13063316—21no—
239#13063316C2311yescharacteristic
240#13063316C2311yescharacteristic
241#13063316C2311yescharacteristic
242#13063316C2311yescharacteristic
243#13063316C2311yescharacteristic
244#13063315—21no—
245#13063315—21no—
246#13063315—21no—
247#13063315—21no—
248#13063315—21no—
249#13063313C2311yescharacteristic
250#13063312—21no—
251#13063312—21no—
252#13063312C2311yescharacteristic
253#13063311—21no—
254#13063311—21no—
255#13063310—21no—
256#13063309—21no—
257#13063307—21no—
258#13063307—21no—
259#13063307—21no—
260#13063307—21no—
261#13063306—21no—
262#13063305—21no—
263#13063305—21no—
264#13063305—21no—
265#13063305—21no—
266#13063305—21no—
267#13063305C2311yescharacteristic
268#13063304—21no—
269#13063304—21no—
270#13063304C2311yescharacteristic
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#13063302—21no—
286#13063301—21no—
287#13063301—21no—
288#13063301—21no—
289#13063301—21no—
290#13063300C2311yescharacteristic
291#13063299C2311yescharacteristic
292#13063298—21no—
293#13063298—21no—
294#13063297—21no—
295#13063297—21no—
296#13063297—21no—
297#13063297—21no—
298#13063296—21no—
299#13063296—21no—
300#13063296C2311yescharacteristic
301#13063296C2311yescharacteristic
302#13063293—21no—
303#13063293—21no—
304#13063293—21no—
305Q8×Dic43—21no—
306Q8×Dic43—21no—
307C4×Dic86C2311yescharacteristic
308#13063290—21no—
309#13063290—21no—
310#13063290—21no—
311#13063290—21no—
312#13063290—21no—
313#13063290—21no—
314#13063290C2311yescharacteristic
315C4×D172C2311yescharacteristic
316D4×Dic43—21no—
317D4×Dic43—21no—
318D4×Dic43C2311yescharacteristic
319D4×Dic43C2311yescharacteristic
320#13063287—21no—
321#13063287C2311yescharacteristic
322C4×C22⋊D43—21no—
323C4×C22⋊D43—21no—
324C4×C22⋊D43—21no—
325C4×C22⋊D43—21no—
326(C22⋊D43)⋊C4—21no—
327(C22⋊D43)⋊C4—21no—
328(C22⋊D43)⋊C4—21no—
329#13063284—21no—
330#13063284C2311yescharacteristic
331#13063284C2311yescharacteristic
332#13063283—21no—
333#13063283—21no—
334#13063283—21no—
335#13063283D411yescharacteristic
336#13063283D411yescharacteristic
337#13063283C2311yescharacteristic
338#13063283C2311yescharacteristic
339#13063283C2311yescharacteristic
340#13063283C2311yescharacteristic
341#13063283C2311yescharacteristic
342#13063283C2311yescharacteristic
343#13063283C2311yescharacteristic
344#13063282—21no—
345#13063282C2311yescharacteristic
346#13063282C2311yescharacteristic
347#13063281—21no—
348#13063281—21no—
349#13063281D411yescharacteristic
350#13063281D411yescharacteristic
351C2×C4⋊Dic43C2311yescharacteristic
352C2×Dic43⋊C4—21no—
353C4⋊C4×D43D411yescharacteristic
354C4⋊C4×D43D411yescharacteristic
355C4⋊C4×D43C2311yescharacteristic
356C4⋊C4×D43C2311yescharacteristic
357C4⋊C4×D43C2311yescharacteristic
358C2×(C2×D43)⋊C4—21no—
359C2×(C2×D43)⋊C4—21no—
360C22⋊C4×D43—21no—
361C22⋊C4×D43—21no—
362C22⋊C4×D43—21no—
363C22⋊C4×D43D411yescharacteristic
364C22⋊C4×D43D411yescharacteristic
365C2×C4×Dic43—21no—
366C42×D43—21no—
367C42×D43C2311yescharacteristic
368C42×D43C2311yescharacteristic
369#13063259C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063258C2311yescharacteristic
372#13063258C2311yescharacteristic
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#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
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#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
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
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
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×D43C2×D411yescharacteristic
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—
499C22×Dic43—21no—
500C22×Dic43—21no—
501C22×Dic43—21no—
502C22×Dic43—21no—
503C22×Dic43C2×D411yescharacteristic
504#10621900—22no—
505#10621900—22no—
506#10621900—82no—
507D4×D43—22no—
508D4×D43—22no—
509D4×D43—82no—
510#10621898—82no—
511C2×D172—21no—
512C2×D172C2411yescharacteristic
513C2×C4×D43—22no—
514C2×C4×D43—22no—
515C2×C4×D43—21no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43C2×D411yescharacteristic
521C2×C4×D43C2×D411yescharacteristic
522C2×C4×D43C2×D411yescharacteristic
523C2×C4×D43C2×D411yescharacteristic
524C2×C4×D43C2×D411yescharacteristic
525C2×C4×D43C2×D411yescharacteristic
526C2×C4×D43C2411yescharacteristic
527C2×C4×D43C2411yescharacteristic
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86C2411yescharacteristic
537C2×C8×C43C2411yescharacteristic
538C2×C8×C43C2411yescharacteristic
539C2×C8×C43C2411yescharacteristic
540C2×C8×C43C2411yescharacteristic
541C4⋊C4×C43—21no—
542C4⋊C4×C43—21no—
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43C2×D411yescharacteristic
551C4⋊C4×C43C2×D411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43C2×D411yescharacteristic
564C22⋊C4×C43C2×D411yescharacteristic
565C42×C43—21no—
566C42×C43C2411yescharacteristic
567C42×C43C2411yescharacteristic
568C22⋊Dic43—21no—
569C22⋊Dic43—21no—
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43C2×D411yescharacteristic
577C22⋊Dic43C2×D411yescharacteristic
578(C2×D43)⋊C4—21no—
579(C2×D43)⋊C4—21no—
580(C2×D43)⋊C4—21no—
581(C2×D43)⋊C4—21no—
582(C2×D43)⋊C4—21no—
583(C2×D43)⋊C4—21no—
584(C2×D43)⋊C4—21no—
585(C2×D43)⋊C4—21no—
586(C2×D43)⋊C4—21no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4C2×D411yescharacteristic
593(C2×D43)⋊C4C2×D411yescharacteristic
594(C2×D43)⋊C4C2×D411yescharacteristic
595(C2×D43)⋊C4C2×D411yescharacteristic
596C4⋊Dic43—21no—
597C4⋊Dic43—21no—
598C4⋊Dic43—21no—
599C4⋊Dic43—21no—
600C4⋊Dic43—21no—
601C4⋊Dic43—21no—
602C4⋊Dic43—21no—
603C4⋊Dic43—21no—
604C4⋊Dic43—21no—
605C4⋊Dic43—21no—
606C4⋊Dic43C2×D411yescharacteristic
607C4⋊Dic43C2×D411yescharacteristic
608C4⋊Dic43C2411yescharacteristic
609C4⋊Dic43C2411yescharacteristic
610C4⋊Dic43C2411yescharacteristic
611C4⋊Dic43C2411yescharacteristic
612C4⋊Dic43C2411yescharacteristic
613C4⋊Dic43C2411yescharacteristic
614Dic43⋊C4—21no—
615Dic43⋊C4—21no—
616Dic43⋊C4—21no—
617Dic43⋊C4—21no—
618Dic43⋊C4—21no—
619Dic43⋊C4—21no—
620Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
635Dic43⋊C4C2×D411yescharacteristic
636Dic43⋊C4C2×D411yescharacteristic
637Dic43⋊C4C2×D411yescharacteristic
638C4×Dic43—21no—
639C4×Dic43—21no—
640C4×Dic43—21no—
641C4×Dic43—21no—
642C4×Dic43—21no—
643C4×Dic43—21no—
644C4×Dic43—21no—
645C4×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43C2×D411yescharacteristic
649C4×Dic43C2×D411yescharacteristic
650C4×Dic43C2×D411yescharacteristic
651C4×Dic43C2×D411yescharacteristic
652C4×Dic43C2411yescharacteristic
653C4×Dic43C2411yescharacteristic
654C2×C43⋊C8C2411yescharacteristic
655C2×C43⋊C8C2411yescharacteristic
656C2×C43⋊C8C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658#10621872—22no—
659#10621872—22no—
660C8×D43—22no—
661C8×D43—22no—
662C23×C43—21no—
663C23×C43—21no—
664C23×C43C22×D411yescharacteristic
665C22×D43—22no—
666C22×D43—21no—
667C22×D43—41no—
668C22×D43—41no—
669C22×D43—42no—
670C22×D43—81no—
671C22×D43—81no—
672C22×D43C22×D411yescharacteristic
673C22×D43C22×D411yescharacteristic
674Q8×C43—81no—
675Q8×C43—81no—
676D4×C43—21no—
677D4×C43—21no—
678D4×C43—21no—
679D4×C43—21no—
680D4×C43—81no—
681D4×C43—81no—
682D4×C43—81no—
683D4×C43—81no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—81no—
693C2×C4×C43—81no—
694C2×C4×C43—81no—
695C2×C4×C43C22×D411yescharacteristic
696C2×C4×C43C22×D411yescharacteristic
697C2×C4×C43C22×D411yescharacteristic
698C2×C4×C43C22×D411yescharacteristic
699C2×C4×C43C22×D411yescharacteristic
700C2×C4×C43C2511yescharacteristic
701C22⋊D43—42no—
702C22⋊D43—42no—
703C22⋊D43—42no—
704C22⋊D43—42no—
705C22⋊D43—81no—
706C22⋊D43—81no—
707C22⋊D43—81no—
708C2×Dic43—22no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—42no—
717C2×Dic43—81no—
718C2×Dic43—81no—
719C2×Dic43—81no—
720C2×Dic43C22×D411yescharacteristic
721C2×Dic43C22×D411yescharacteristic
722C2×Dic43C22×D411yescharacteristic
723C2×Dic43C22×D411yescharacteristic
724C2×Dic43C22×D411yescharacteristic
725C2×Dic43C22×D411yescharacteristic
726D172—21no—
727D172—21no—
728D172—42no—
729C4×D43—22no—
730C4×D43—21no—
731C4×D43—21no—
732C4×D43—22no—
733C4×D43—41no—
734C4×D43—41no—
735C4×D43—41no—
736C4×D43—41no—
737C4×D43—81no—
738C4×D43—81no—
739C4×D43—81no—
740C4×D43—81no—
741C4×D43—81no—
742C4×D432−1+412yes—
743C4×D432−1+412yes—
744Dic86—21no—
745Dic86—21no—
746Dic86—81no—
747Dic86—81no—
748Dic86—81no—
749Dic86—81no—
750Dic86—81no—
751Dic86—81no—
752Dic86—81no—
753Dic86—81no—
754C8×C43—21no—
755C8×C43—21no—
756C8×C43—21no—
757C8×C43—21no—
758C43⋊C8—21no—
759C43⋊C8—21no—
760C43⋊C8—21no—
761C43⋊C8—21no—
762#60875—431nomaximal, Sylow
763C22×C43—21no—
764C22×C43—21no—
765C22×C43—21no—
766C22×C43—41no—
767C22×C43—41no—
768C22×C43—41no—
769C22×C43—41no—
770C22×C43—41no—
771C22×C43—41no—
772C22×C43C23×D411yescharacteristic
773C2×D43—21no—
774C2×D43—21no—
775C2×D43—21no—
776C2×D43—21no—
777C2×D43—21no—
778C2×D43—41no—
779C2×D43—41no—
780C2×D43—41no—
781C2×D43—82no—
782C2×D43—162no—
783C2×D43#53612yes—
784C4×C43—21no—
785C4×C43—21no—
786C4×C43—21no—
787C4×C43—21no—
788C4×C43—21no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43—41no—
792C4×C43—41no—
793C4×C43—41no—
794C4×C43—41no—
795C4×C43C2×2−1+411yescharacteristic
796C4×C43C2×2−1+411yescharacteristic
797Dic43—21no—
798Dic43—21no—
799Dic43—21no—
800Dic43—21no—
801Dic43—21no—
802Dic43—41no—
803Dic43—41no—
804Dic43—41no—
805Dic43—41no—
806Dic43—41no—
807Dic43—41no—
808Dic43—41no—
809Dic43#53612yes—
810#3494—431no—
811#3458—431no—
812#3244—431no—
813#3244—431no—
814#3243—431no—
815#3243—431no—
816#3241—431no—
817#3241—431no—
818#3241—431no—
819#3241D4311yescharacteristic, complemented
820#3240—431no—
821#3240—431no—
822#3235—431no—
823#3235—431no—
824#3233—431no—
825#3233—431no—
826#3228—431no—
827#3228—431no—
828#3164—431no—
829#3163—431no—
830#3136—431no—
831#3136—431no—
832#3094—431no—
833#3093—431no—
834#3091—431no—
835C2×#482—431no—
836#3084—431no—
837#3083—431no—
838#3081—431no—
839#3081—431no—
840#2924—431no—
841C2×C43—41no—
842C2×C43—81no—
843C2×C43—81no—
844C2×C43C2×#53611yescharacteristic
845C2×C43#358411yescharacteristic
846C2×C43#358511yescharacteristic
847D43—22no—
848D43—41no—
849D43—81no—
850#555—861no—
851#553—861no—
852#553—861no—
853#551—861no—
854#551—861no—
855#547—861no—
856#546—861no—
857#546—861no—
858#544—431no—
859#544—431no—
860#544—431no—
861#544—431no—
862#544—431no—
863#544—431no—
864#544—431no—
865#544—431no—
866#544—861no—
867#544—861no—
868#544C2×D4311yescharacteristic, complemented
869#543—861no—
870#543—861no—
871#542—431no—
872#542—431no—
873#540—431no—
874#540C2×D4311yescharacteristic
875#535—431no—
876#533—431no—
877#533—431no—
878#533—431no—
879#533—431no—
880#533—861no—
881#533—861no—
882#533—861no—
883#533—861no—
884#532—431no—
885#532—431no—
886#529—431no—
887#529—431no—
888#525—431no—
889C2×#121—431no—
890#520—431no—
891#518—431no—
892C2×#117—431no—
893C2×#117—431no—
894C2×#117—431no—
895#501—431no—
896#501—431no—
897#501—431no—
898#501—431no—
899#501—431no—
900#501—431no—
901#501—431no—
902#501C2×D4311yescharacteristic, complemented
903#500—431no—
904#500—431no—
905#499—431no—
906#499—431no—
907#499—431no—
908#499C2×D4311yescharacteristic, complemented
909#498—431no—
910#498—431no—
911#490—431no—
912#490—431no—
913#490—431no—
914#490C2×D4311yescharacteristic, complemented
915#489—431no—
916#489—431no—
917#489—431no—
918#489—431no—
919#488—431no—
920#488—431no—
921#488—431no—
922#488—431no—
923#486—431no—
924#486—431no—
925#486—431no—
926#486C2×D4311yescharacteristic, complemented
927#485—431no—
928#485—431no—
929#485—431no—
930#485—431no—
931#485—431no—
932#485—431no—
933#484—431no—
934#483—431no—
935#482—431no—
936#482—431no—
937#482—431no—
938#482—431no—
939#482—431no—
940#482—431no—
941#482—431no—
942#482—431no—
943#482—431no—
944#482—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#482—431no—
950#482—431no—
951#482C2×D4311yescharacteristic
952#482C2×D4311yescharacteristic, complemented
953#481—431no—
954#481—431no—
955#481C2×D4311yescharacteristic, complemented
956#480—431no—
957#480—431no—
958#480C2×D4311yescharacteristic
959#479—431no—
960#479—431no—
961#479—431no—
962#479—431no—
963#478—431no—
964#478—431no—
965#478—431no—
966#478—431no—
967#478—431no—
968#478—431no—
969#478—431no—
970#478—431no—
971#478—431no—
972#478—431no—
973#478C2×D4311yescharacteristic, complemented
974#478C2×D4311yescharacteristic, complemented
975#477—431no—
976#477—431no—
977#476—431no—
978#476—431no—
979#476—431no—
980#476—431no—
981#476—431no—
982#476C2×D4311yescharacteristic, complemented
983#475—431no—
984#475—431no—
985#474—431no—
986#474—431no—
987#474—431no—
988#474—431no—
989#474—431no—
990#474C2×D4311yescharacteristic, complemented
991#433—431no—
992#433—431no—
993#433—431no—
994#433C2×D4311yescharacteristic, complemented
995#432—431no—
996#432—431no—
997#431—431no—
998#431—431no—
999#428—431no—
1000#428—431no—
1001#428—431no—
1002#428—431no—
1003#427—431no—
1004#427—431no—
1005C2×#107—431no—
1006C2×#106—431no—
1007#424—431no—
1008#424—431no—
1009#418—431no—
1010#418—431no—
1011#417—431no—
1012#417—431no—
1013#416—431no—
1014#416—431no—
1015C2×#102—431no—
1016C2×#102—431no—
1017#407—431no—
1018C2×C22⋊C8—431no—
1019#405—431no—
1020#405—431no—
1021C43#6087511yescharacteristic, complemented, Sylow
1022C2×#41—431no—
1023C2×#41—861no—
1024C2×#41—861no—
1025C22×D4—431no—
1026C22×D4—861no—
1027C23×C4—431no—
1028C2×M16—431no—
1029C2×M16—431no—
1030C22×C8—431no—
1031C22×C8—431no—
1032C4⋊Q8—21no—
1033C4⋊Q8—431no—
1034C4⋊Q8—431no—
1035C4⋊Q8—431no—
1036C4⋊Q8—431no—
1037C4⋊Q8—431no—
1038C4⋊Q8—431no—
1039C4⋊Q8—431no—
1040C4⋊Q8—431no—
1041C4⋊Q8—861no—
1042C4⋊Q8—861no—
1043C4⋊Q8—861no—
1044C4⋊Q8—861no—
1045C4⋊Q8—861no—
1046C4⋊Q8—861no—
1047C4⋊Q8—861no—
1048C4⋊Q8—861no—
1049C4⋊Q8C22×D4311yescharacteristic
1050C4⋊Q8C22×D4311yescharacteristic
1051#127—431no—
1052#127C22×D4311yescharacteristic
1053#126—861no—
1054#126—861no—
1055#126—861no—
1056#126—861no—
1057#125—21no—
1058#125—431no—
1059#125—431no—
1060#125—431no—
1061#125—431no—
1062#125—431no—
1063#125—431no—
1064#125—431no—
1065#125—861no—
1066#125—861no—
1067#125—861no—
1068#125—861no—
1069#125—861no—
1070#125—861no—
1071#125—861no—
1072#125—861no—
1073#125C22×D4311yescharacteristic
1074#125C22×D4311yescharacteristic
1075#125C22×D4311yescharacteristic
1076#124—431no—
1077#124—431no—
1078#124—861no—
1079#124—861no—
1080#124—861no—
1081#124—861no—
1082#123—21no—
1083#123—21no—
1084#123—861no—
1085#123—861no—
1086#123—861no—
1087#123—861no—
1088#123—861no—
1089#123—861no—
1090#123—861no—
1091C22⋊Q8—21no—
1092C22⋊Q8—21no—
1093C22⋊Q8—431no—
1094C22⋊Q8—431no—
1095C22⋊Q8—861no—
1096C22⋊Q8—861no—
1097C22⋊Q8—861no—
1098C22⋊Q8—861no—
1099C22⋊Q8—861no—
1100C22⋊Q8—861no—
1101C22⋊Q8—861no—
1102C22⋊Q8—861no—
1103C22⋊Q8—861no—
1104C22⋊Q8—861no—
1105C22⋊Q8—861no—
1106C22⋊Q8—861no—
1107C22⋊Q8—861no—
1108C22⋊Q8—861no—
1109C22⋊Q8—861no—
1110C22⋊Q8—861no—
1111C22⋊Q8—861no—
1112C22⋊Q8—861no—
1113C22⋊Q8—861no—
1114C22⋊Q8—861no—
1115C22⋊Q8—861no—
1116C22⋊Q8—861no—
1117C22⋊Q8—861no—
1118C22⋊Q8—861no—
1119C22⋊Q8—861no—
1120C22⋊Q8—861no—
1121#121—21no—
1122#121—21no—
1123#121—431no—
1124#121—431no—
1125#121—431no—
1126#121—431no—
1127#121—861no—
1128#121—861no—
1129#121—861no—
1130#121—861no—
1131#121—861no—
1132#121—861no—
1133#121—861no—
1134#121—861no—
1135#121C22×D4311yescharacteristic
1136#121C22×D4311yescharacteristic
1137#120—861no—
1138#120—861no—
1139#120—861no—
1140C4×Q8—431no—
1141C4×Q8—431no—
1142C4×Q8—861no—
1143C4×Q8—861no—
1144C4×Q8—861no—
1145C4×Q8—861no—
1146C4×Q8—861no—
1147C4×Q8—861no—
1148C4×Q8—861no—
1149C4×Q8—861no—
1150C4×D4—431no—
1151C4×D4—431no—
1152C4×D4—431no—
1153C4×D4—431no—
1154C4×D4—861no—
1155C4×D4—861no—
1156C4×D4—861no—
1157C4×D4—861no—
1158C4×D4—861no—
1159C4×D4—861no—
1160C4×D4—861no—
1161C4×D4—861no—
1162C4×D4—861no—
1163C4×D4—861no—
1164C4×D4C22×D4311yescharacteristic
1165C4×D4C22×D4311yescharacteristic
1166#117—431no—
1167#117—431no—
1168#117—431no—
1169#117—431no—
1170#117—431no—
1171#117—431no—
1172#117—431no—
1173#117—431no—
1174#117—431no—
1175#117—431no—
1176#117—431no—
1177#117—431no—
1178#117—431no—
1179#117—431no—
1180#117—431no—
1181#117—861no—
1182#117—861no—
1183#117—861no—
1184#117—861no—
1185#117—861no—
1186#117—861no—
1187#117—861no—
1188#117C22×D4311yescharacteristic
1189#117C22×D4311yescharacteristic
1190C2×C4⋊C4—431no—
1191C2×C4⋊C4—431no—
1192C2×C4⋊C4—431no—
1193C2×C4⋊C4—431no—
1194C2×C4⋊C4—431no—
1195C2×C4⋊C4—431no—
1196C2×C4⋊C4—861no—
1197C2×C4⋊C4C22×D4311yescharacteristic
1198C2×C22⋊C4—431no—
1199C2×C22⋊C4—431no—
1200C2×C22⋊C4—861no—
1201C2×C22⋊C4—861no—
1202C2×C22⋊C4—861no—
1203C2×C22⋊C4—861no—
1204C2×C22⋊C4—861no—
1205C2×C42—431no—
1206C2×C42—431no—
1207C2×C42—861no—
1208C2×C42—861no—
1209#107—431no—
1210#107—431no—
1211#107—431no—
1212#107—431no—
1213#107—431no—
1214#107—431no—
1215#107—431no—
1216#107—431no—
1217#107—431no—
1218#107—431no—
1219#107—431no—
1220#107—431no—
1221#107C22×D4311yescharacteristic
1222#107C22×D4311yescharacteristic
1223#107C22×D4311yescharacteristic
1224#107C22×D4311yescharacteristic
1225#106—431no—
1226#106—431no—
1227#106—431no—
1228#106—431no—
1229#106—431no—
1230#106—431no—
1231#106—431no—
1232#106—431no—
1233#106—431no—
1234#106—431no—
1235#106—431no—
1236#106—431no—
1237#106C22×D4311yescharacteristic
1238#106C22×D4311yescharacteristic
1239#106C22×D4311yescharacteristic
1240#106C22×D4311yescharacteristic
1241C4⋊C8—431no—
1242C4⋊C8—431no—
1243C4⋊C8—431no—
1244C4⋊C8—431no—
1245C4⋊C8—431no—
1246C4⋊C8—431no—
1247C4⋊C8C22×D4311yescharacteristic
1248C4⋊C8C22×D4311yescharacteristic
1249#103—431no—
1250#103—431no—
1251#103—431no—
1252#103—431no—
1253#103—431no—
1254#103—431no—
1255#103—431no—
1256#103—431no—
1257#102—431no—
1258#102—431no—
1259#102—431no—
1260#102—431no—
1261#102—431no—
1262#102—431no—
1263#102—431no—
1264#102—431no—
1265#102—431no—
1266#102—431no—
1267#102—431no—
1268#102—431no—
1269#102—431no—
1270#102—431no—
1271#102—431no—
1272#102—431no—
1273#102C22×D4311yescharacteristic
1274#102C22×D4311yescharacteristic
1275#102C22×D4311yescharacteristic
1276#102C22×D4311yescharacteristic
1277#102C22×D4311yescharacteristic
1278#102C22×D4311yescharacteristic
1279#102C22×D4311yescharacteristic
1280#102C22×D4311yescharacteristic
1281C22⋊C8—431no—
1282C22⋊C8—431no—
1283C22⋊C8—431no—
1284C22⋊C8—431no—
1285C22⋊C8—431no—
1286C22⋊C8—431no—
1287C22⋊C8C22×D4311yescharacteristic
1288C22⋊C8C22×D4311yescharacteristic
1289#97—431no—
1290#97—431no—
1291#97—431no—
1292#97C22×D4311yescharacteristic
1293C4×C8—431no—
1294C4×C8—431no—
1295C4×C8—431no—
1296C4×C8C22×D4311yescharacteristic
1297C24—431no—
1298C24—861no—
1299#41—862no—
1300#41—862no—
1301#41—3442no—
1302#41—3442no—
1303C2×Q8—21no—
1304C2×Q8—21no—
1305C2×Q8—431no—
1306C2×Q8—861no—
1307C2×Q8—861no—
1308C2×Q8—861no—
1309C2×Q8—861no—
1310C2×Q8—861no—
1311C2×Q8—861no—
1312C2×Q8—861no—
1313C2×Q8—861no—
1314C2×D4—21no—
1315C2×D4—21no—
1316C2×D4—21no—
1317C2×D4—21no—
1318C2×D4—431no—
1319C2×D4—861no—
1320C2×D4—862no—
1321C2×D4—862no—
1322C2×D4—861no—
1323C2×D4—861no—
1324C2×D4—861no—
1325C2×D4—861no—
1326C2×D4—861no—
1327C2×D4—861no—
1328C2×D4—861no—
1329C2×D4—3442no—
1330C2×D4C23×D4311yescharacteristic
1331C2×D4C23×D4311yescharacteristic
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—431no—
1336C22×C4—431no—
1337C22×C4—431no—
1338C22×C4—431no—
1339C22×C4—431no—
1340C22×C4—431no—
1341C22×C4—431no—
1342C22×C4—431no—
1343C22×C4—431no—
1344C22×C4—862no—
1345C22×C4—862no—
1346C22×C4—861no—
1347C22×C4—861no—
1348C22×C4—861no—
1349C22×C4—861no—
1350C22×C4—861no—
1351C22×C4—861no—
1352C22×C4—861no—
1353C22×C4—861no—
1354C22×C4—861no—
1355C22×C4C23×D4311yescharacteristic
1356M16—862no—
1357M16—862no—
1358C2×C8—431no—
1359C2×C8—431no—
1360C2×C8—431no—
1361C2×C8—431no—
1362C2×C8—862no—
1363C2×C8—862no—
1364C2×C8C23×D4311yescharacteristic
1365C2×C8C23×D4311yescharacteristic
1366C2×C8C23×D4311yescharacteristic
1367C2×C8C23×D4311yescharacteristic
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—431no—
1378C4⋊C4—431no—
1379C4⋊C4—431no—
1380C4⋊C4—431no—
1381C4⋊C4—431no—
1382C4⋊C4—431no—
1383C4⋊C4—431no—
1384C4⋊C4—431no—
1385C4⋊C4—431no—
1386C4⋊C4—431no—
1387C4⋊C4—431no—
1388C4⋊C4—431no—
1389C4⋊C4—861no—
1390C4⋊C4—861no—
1391C4⋊C4—861no—
1392C4⋊C4—861no—
1393C4⋊C4—861no—
1394C4⋊C4—861no—
1395C4⋊C4—861no—
1396C4⋊C4—861no—
1397C4⋊C4—861no—
1398C4⋊C4—861no—
1399C4⋊C4—861no—
1400C4⋊C4—861no—
1401C4⋊C4—861no—
1402C4⋊C4—861no—
1403C4⋊C4—861no—
1404C4⋊C4—861no—
1405C4⋊C4—861no—
1406C4⋊C4—861no—
1407C4⋊C4—861no—
1408C4⋊C4—861no—
1409C4⋊C4—861no—
1410C4⋊C4—861no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4D4×D4311yescharacteristic
1420C4⋊C4D4×D4311yescharacteristic
1421C4⋊C4C23×D4311yescharacteristic
1422C4⋊C4C23×D4311yescharacteristic
1423C4⋊C4C23×D4311yescharacteristic
1424C4⋊C4C23×D4311yescharacteristic
1425C4⋊C4C23×D4311yescharacteristic
1426C4⋊C4C23×D4311yescharacteristic
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—431no—
1433C22⋊C4—431no—
1434C22⋊C4—431no—
1435C22⋊C4—431no—
1436C22⋊C4—431no—
1437C22⋊C4—431no—
1438C22⋊C4—861no—
1439C22⋊C4—861no—
1440C22⋊C4—861no—
1441C22⋊C4—861no—
1442C22⋊C4—861no—
1443C22⋊C4—861no—
1444C22⋊C4—861no—
1445C22⋊C4—861no—
1446C22⋊C4—861no—
1447C22⋊C4—861no—
1448C22⋊C4—861no—
1449C22⋊C4—861no—
1450C22⋊C4—861no—
1451C22⋊C4—861no—
1452C22⋊C4—861no—
1453C22⋊C4—861no—
1454C22⋊C4—861no—
1455C22⋊C4—861no—
1456C22⋊C4—861no—
1457C22⋊C4—861no—
1458C22⋊C4—861no—
1459C22⋊C4—861no—
1460C22⋊C4D4×D4311yescharacteristic
1461C22⋊C4D4×D4311yescharacteristic
1462C42—21no—
1463C42—431no—
1464C42—431no—
1465C42—431no—
1466C42—431no—
1467C42—431no—
1468C42—431no—
1469C42—861no—
1470C42—861no—
1471C42—861no—
1472C42—861no—
1473C42—861no—
1474C42—861no—
1475C42—861no—
1476C42—861no—
1477C42—861no—
1478C42—861no—
1479C42C23×D4311yescharacteristic
1480C42C23×D4311yescharacteristic
1481C23—21no—
1482C23—21no—
1483C23—431no—
1484C23—431no—
1485C23—862no—
1486C23—861no—
1487C23—3441no—
1488C23—3441no—
1489C23—1721no—
1490C23—1721no—
1491C23—1722no—
1492C23C2×D4×D4311yescharacteristic
1493Q8—81no—
1494Q8—81no—
1495Q8—861no—
1496Q8—861no—
1497Q8—3441no—
1498Q8—3441no—
1499Q8—3441no—
1500Q8—3441no—
1501Q8—3441no—
1502Q8—3441no—
1503Q8—3441no—
1504Q8—3441no—
1505D4—21no—
1506D4—21no—
1507D4—21no—
1508D4—21no—
1509D4—81no—
1510D4—81no—
1511D4—81no—
1512D4—81no—
1513D4—861no—
1514D4—861no—
1515D4—3441no—
1516D4—3441no—
1517D4—3441no—
1518D4—1722no—
1519D4—1722no—
1520D4—1722no—
1521D4—1722no—
1522D4—1722no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—81no—
1532C2×C4—81no—
1533C2×C4—81no—
1534C2×C4—431no—
1535C2×C4—432no—
1536C2×C4—432no—
1537C2×C4—431no—
1538C2×C4—431no—
1539C2×C4—431no—
1540C2×C4—431no—
1541C2×C4—431no—
1542C2×C4—862no—
1543C2×C4—862no—
1544C2×C4—862no—
1545C2×C4—861no—
1546C2×C4—861no—
1547C2×C4—861no—
1548C2×C4—861no—
1549C2×C4—861no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—3441no—
1555C2×C4—3441no—
1556C2×C4—3441no—
1557C2×C4—3441no—
1558C2×C4—3441no—
1559C2×C4—3441no—
1560C2×C4—3441no—
1561C2×C4—3441no—
1562C2×C4—1721no—
1563C2×C4—1721no—
1564C2×C4—1721no—
1565C2×C4—1721no—
1566C2×C4—1722no—
1567C2×C4C2×D4×D4311yescharacteristic
1568C2×C4C2×D4×D4311yescharacteristic
1569C2×C4C2×D4×D4311yescharacteristic
1570C2×C4C2×D4×D4311yescharacteristic
1571C2×C4C2×D4×D4311yescharacteristic
1572C2×C4C24×D4311yescharacteristic
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—861no—
1578C8—861no—
1579C8—861no—
1580C8—861no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—432no—
1591C22—861no—
1592C22—861no—
1593C22—861no—
1594C22—861no—
1595C22—861no—
1596C22—3442no—
1597C22—1721no—
1598C22—1721no—
1599C22—1721no—
1600C22—6882no—
1601C22C22×D4×D4311yescharacteristic
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—21no—
1606C4—21no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—432no—
1614C4—861no—
1615C4—861no—
1616C4—861no—
1617C4—861no—
1618C4—861no—
1619C4—1721no—
1620C4—1721no—
1621C4—1721no—
1622C4—1721no—
1623C4—1721no—
1624C4—1721no—
1625C4—1721no—
1626C42−1+4×D4311yescharacteristic
1627C42−1+4×D4311yescharacteristic
1628C2—41no—
1629C2—81no—
1630C2—81no—
1631C2—862no—
1632C2—3441no—
1633C2—1721no—
1634C2#536×D4311yescharacteristic
1635C2#1914936711yescharacteristic
1636C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3241C2
socleC22×C43C23×D4
prime radical#19148322C2
hypercenter#3241D43
hypocenterC43#60875
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. #19147999C2semidirect
3. #19145895C2semidirect
4. #19145891C2semidirect
5. #19145878C2semidirect
6. #19145874C2semidirect
7. #19145852C2semidirect
8. #19145846C2semidirect
9. #19145842C2semidirect
10. #19145838C2semidirect
11. #19145834C2semidirect
12. #19145792C2semidirect
13. #19145788C2semidirect
14. #19145775C2semidirect
15. #19145773C2semidirect
16. #19145730C2semidirect
17. #19145728C2semidirect
18. #19145130C2semidirect
19. #19145124C2semidirect
20. #19144950C2semidirect
21. #19144944C2semidirect
22. #19144530C2semidirect
23. #19144523C2semidirect
24. #19144505C2semidirect
25. #482×D43C2semidirect
26. #19144458C2semidirect
27. #19144441C2semidirect
28. #19144425C2semidirect
29. #19144421C2semidirect
30. #19143251C2semidirect
31. C43×#3241C2semidirect
40. #14583530C22semidirect
45. #14583527C22semidirect
46. #14583527C22semidirect
57. #14583455C22semidirect
58. #14583455C22semidirect
60. #14583454C22semidirect
61. #14583454C22semidirect
75. #14583309C22semidirect
76. #14583309C22semidirect
77. #14583308C22semidirect
78. #14583307C22semidirect
79. #14583307C22semidirect
80. #14583307C22semidirect
81. #14583306C22semidirect
82. #14583303C22semidirect
83. #14583302C22semidirect
84. #14583299C22semidirect
85. #14583299C22semidirect
86. #14583298C22semidirect
87. #14583297C22semidirect
88. #14583296C22semidirect
89. #14583263C22semidirect
90. #14583262C22semidirect
91. #14583262C22semidirect
92. #14583261C22semidirect
93. #14583259C22semidirect
94. #14583257C22semidirect
95. #14583257C22semidirect
96. #14583256C22semidirect
97. #14583254C22semidirect
98. #14583252C22semidirect
99. #14583252C22semidirect
100. #14583245C22semidirect
101. #14583244C22semidirect
102. #14583244C22semidirect
103. #14583243C22semidirect
104. #14583243C22semidirect
105. #14583243C22semidirect
106. #14583242C22semidirect
107. #14583241C22semidirect
108. #14583240C22semidirect
109. #14583234C22semidirect
110. #14583230C22semidirect
120. #14583222C22semidirect
121. #14583222C22semidirect
122. #14583222C22semidirect
124. #14583221C22semidirect
126. #14583220C22semidirect
130. #14583210C22semidirect
131. #14583207C22semidirect
132. #14583205C22semidirect
133. #14583205C22semidirect
134. #14583203C22semidirect
135. #14583201C22semidirect
136. #14583201C22semidirect
137. #14583201C22semidirect
138. #14583201C22semidirect
139. #14583200C22semidirect
140. #14583199C22semidirect
141. #14583199C22semidirect
142. #14583198C22semidirect
143. #14583198C22semidirect
144. #14583196C22semidirect
145. #14583193C22semidirect
146. #14583191C22semidirect
147. #14583190C22semidirect
148. #14583189C22semidirect
149. #14583188C22semidirect
150. #14583187C22semidirect
151. #14583187C22semidirect
152. #14583185C22semidirect
153. #14583183C22semidirect
154. #14583179C22semidirect
155. #14583178C22semidirect
156. #14583177C22semidirect
157. #14583177C22semidirect
158. #14583176C22semidirect
159. #14582960C22semidirect
160. #14582957C22semidirect
161. #14582957C22semidirect
162. #14582955C22semidirect
163. #14582954C22semidirect
164. #14582951C22semidirect
165. #14582950C22semidirect
188. C43×#544C22semidirect
190. C43×#501C22semidirect
191. C43×#499C22semidirect
192. C43×#490C22semidirect
193. C43×#486C22semidirect
195. C43×#482C22semidirect
196. C43×#481C22semidirect
198. C43×#478C22semidirect
199. C43×#478C22semidirect
200. C43×#476C22semidirect
201. C43×#474C22semidirect
202. C43×#433C22semidirect
819. #3241D43semidirect
868. #544C2×D43semidirect
902. #501C2×D43semidirect
908. #499C2×D43semidirect
914. #490C2×D43semidirect
926. #486C2×D43semidirect
952. #482C2×D43semidirect
955. #481C2×D43semidirect
973. #478C2×D43semidirect
974. #478C2×D43semidirect
982. #476C2×D43semidirect
990. #474C2×D43semidirect
994. #433C2×D43semidirect
1021. C43#60875semidirect

Maximal subgroups

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

subgroupindex
#191483222
#191479992
#191458952
#191458912
#191458782
#191458742
#191458522
#191458462
#191458422
#191458382
#191458342
#191457922
#191457882
#191457752
#191457732
#191457302
#191457282
#191451302
#191451242
#191449502
#191449442
#191445302
#191445232
#191445052
#482×D432
#191444582
#191444412
#191444252
#191444212
#191432512
C43×#32412
#6087543