Finite Group Databasebeta

← #25969046

Subgroups — #25969046

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#19148325C211yesmaximal, characteristic
2#19147998C211yesmaximal, characteristic, complemented
3#19145896C211yesmaximal, characteristic, complemented
4#19145892C211yesmaximal, characteristic, complemented
5#19145881C211yesmaximal, characteristic, complemented
6#19145877C211yesmaximal, characteristic, complemented
7#19145853C211yesmaximal, characteristic, complemented
8#19145845C211yesmaximal, characteristic, complemented
9#19145841C211yesmaximal, characteristic, complemented
10#19145841C211yesmaximal, characteristic, complemented
11#19145835C211yesmaximal, characteristic, complemented
12#19145833C211yesmaximal, characteristic, complemented
13#19145790C211yesmaximal, characteristic, complemented
14#19145789C211yesmaximal, characteristic, complemented
15#19145776C211yesmaximal, characteristic, complemented
16#19145771C211yesmaximal, characteristic, complemented
17#19145729C211yesmaximal, characteristic, complemented
18#19145128C211yesmaximal, characteristic, complemented
19#19145120C211yesmaximal, characteristic, complemented
20#19144944C211yesmaximal, characteristic, complemented
21#19144944C211yesmaximal, characteristic, complemented
22#19144534C211yesmaximal, characteristic, complemented
23#19144523C211yesmaximal, characteristic, complemented
24#19144507C211yesmaximal, characteristic, complemented
25#482×D43C211yesmaximal, characteristic, complemented
26#19144458C211yesmaximal, characteristic, complemented
27#19144447C211yesmaximal, characteristic, complemented
28#19144425C211yesmaximal, characteristic, complemented
29#19144423C211yesmaximal, characteristic, complemented
30#19143248C211yesmaximal, characteristic, complemented
31C43×#3228C211yesmaximal, characteristic, complemented
32#14583611—21no—
33#14583598—21no—
34#14583592—21no—
35#14583579—21no—
36#14583578—21no—
37#14583548—21no—
38#14583538—21no—
39#14583537—21no—
40#14583529C2211yescharacteristic
41#14583529C2211yescharacteristic
42#14583529C2211yescharacteristic, complemented
43#14583529C2211yescharacteristic, complemented
44#14583528—21no—
45#14583528—21no—
46#14583526C2211yescharacteristic
47#14583526C2211yescharacteristic
48#14583526C2211yescharacteristic
49#14583526C2211yescharacteristic, complemented
50#14583526C2211yescharacteristic, complemented
51#14583524—21no—
52#14583524—21no—
53#14583523C2211yescharacteristic
54#14583514C2211yescharacteristic
55#14583503C2211yescharacteristic
56#14583500C2211yescharacteristic
57#14583462C2211yescharacteristic
58#14583456C2211yescharacteristic, complemented
59#14583453—21no—
60#14583453—21no—
61#14583453—21no—
62#14583453—21no—
63#14583452C2211yescharacteristic, complemented
64#14583452C2211yescharacteristic, complemented
65#14583444C2211yescharacteristic
66#14583433C2211yescharacteristic
67#14583430C2211yescharacteristic
68#14583409C2211yescharacteristic
69#121×D43C2211yescharacteristic
70#14583378C2211yescharacteristic
71#14583371C2211yescharacteristic
72C2×#13063282C2211yescharacteristic
73#117×D43C2211yescharacteristic
74#117×D43C2211yescharacteristic
75#14583307C2211yescharacteristic, complemented
76#14583307C2211yescharacteristic, complemented
77#14583306C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583305C2211yescharacteristic, complemented
81#14583305C2211yescharacteristic, complemented
82#14583305C2211yescharacteristic, complemented
83#14583303C2211yescharacteristic, complemented
84#14583301C2211yescharacteristic, complemented
85#14583301C2211yescharacteristic, complemented
86#14583300C2211yescharacteristic, complemented
87#14583299C2211yescharacteristic, complemented
88#14583296C2211yescharacteristic, complemented
89#14583263C2211yescharacteristic, complemented
90#14583263C2211yescharacteristic, complemented
91#14583262C2211yescharacteristic, complemented
92#14583262C2211yescharacteristic, complemented
93#14583261C2211yescharacteristic, complemented
94#14583261C2211yescharacteristic, complemented
95#14583257C2211yescharacteristic, complemented
96#14583257C2211yescharacteristic, complemented
97#14583254C2211yescharacteristic, complemented
98#14583254C2211yescharacteristic, complemented
99#14583252C2211yescharacteristic, complemented
100#14583252C2211yescharacteristic, complemented
101#14583244C2211yescharacteristic, complemented
102#14583244C2211yescharacteristic, complemented
103#14583243C2211yescharacteristic, complemented
104#14583242C2211yescharacteristic, complemented
105#14583241C2211yescharacteristic, complemented
106#14583241C2211yescharacteristic, complemented
107#14583240C2211yescharacteristic, complemented
108#14583240C2211yescharacteristic, complemented
109#14583236C2211yescharacteristic, complemented
110#14583231C2211yescharacteristic, complemented
111#14583226C2211yescharacteristic
112#14583225C2211yescharacteristic
113#14583224C2211yescharacteristic
114#14583224C2211yescharacteristic
115#14583223C2211yescharacteristic
116#14583223C2211yescharacteristic
117#14583222C2211yescharacteristic
118#14583222C2211yescharacteristic, complemented
119#14583221C2211yescharacteristic
120#14583221C2211yescharacteristic, complemented
121#14583220C2211yescharacteristic
122#14583220C2211yescharacteristic
123#14583220C2211yescharacteristic, complemented
124#14583220C2211yescharacteristic, complemented
125#14583219C2211yescharacteristic
126#14583216C2211yescharacteristic
127#14583216C2211yescharacteristic, complemented
128#14583214C2211yescharacteristic
129#14583211C2211yescharacteristic
130#14583211C2211yescharacteristic, complemented
131#14583209C2211yescharacteristic, complemented
132#14583205C2211yescharacteristic, complemented
133#14583203C2211yescharacteristic, complemented
134#14583203C2211yescharacteristic, complemented
135#14583202C2211yescharacteristic, complemented
136#14583201C2211yescharacteristic, complemented
137#14583201C2211yescharacteristic, complemented
138#14583198C2211yescharacteristic, complemented
139#14583197C2211yescharacteristic, complemented
140#14583197C2211yescharacteristic, complemented
141#14583196C2211yescharacteristic, complemented
142#14583196C2211yescharacteristic, complemented
143#14583195C2211yescharacteristic, complemented
144#14583193C2211yescharacteristic, complemented
145#14583190C2211yescharacteristic, complemented
146#14583189C2211yescharacteristic, complemented
147#14583189C2211yescharacteristic, complemented
148#14583188C2211yescharacteristic, complemented
149#14583187C2211yescharacteristic, complemented
150#14583187C2211yescharacteristic, complemented
151#14583185C2211yescharacteristic, complemented
152#14583183C2211yescharacteristic, complemented
153#14583180C2211yescharacteristic, complemented
154#14583179C2211yescharacteristic, complemented
155#14583179C2211yescharacteristic, complemented
156#14583178C2211yescharacteristic, complemented
157#14583177C2211yescharacteristic, complemented
158#14583177C2211yescharacteristic, complemented
159#14582959C2211yescharacteristic, complemented
160#14582959C2211yescharacteristic, complemented
161#14582958C2211yescharacteristic, complemented
162#14582958C2211yescharacteristic, complemented
163#14582956C2211yescharacteristic, complemented
164#14582953C2211yescharacteristic, complemented
165#14582949C2211yescharacteristic, complemented
166#14582940C2211yescharacteristic
167#14582940C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582938C2211yescharacteristic
170#14582936C2211yescharacteristic
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#14582853C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#533C2211yescharacteristic, complemented
189C43×#532C2211yescharacteristic
190C43×#500C2211yescharacteristic, complemented
191C43×#498C2211yescharacteristic, complemented
192C43×#486C2211yescharacteristic, complemented
193C43×#486C2211yescharacteristic, complemented
194C43×#482C2211yescharacteristic
195C43×#482C2211yescharacteristic
196C43×#482C2211yescharacteristic, complemented
197C43×#482C2211yescharacteristic, complemented
198C43×#478C2211yescharacteristic, complemented
199C43×#478C2211yescharacteristic, complemented
200C43×#478C2211yescharacteristic, complemented
201C43×#478C2211yescharacteristic, complemented
202C43×#431C2211yescharacteristic, complemented
203C2×#10621900—21no—
204C2×#10621900C2311yescharacteristic
205C2×D4×D43—21no—
206C2×D4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C2×#10621872C2311yescharacteristic
209C2×#10621872C2311yescharacteristic
210C2×C8×D43C2311yescharacteristic
211C2×C8×D43C2311yescharacteristic
212#13063325C2311yescharacteristic
213#13063325C2311yescharacteristic
214#13063324—21no—
215#13063324—21no—
216#13063324—21no—
217#13063324—21no—
218#13063324C2311yescharacteristic
219#13063324C2311yescharacteristic
220#13063324C2311yescharacteristic
221#13063324C2311yescharacteristic
222#13063324C2311yescharacteristic
223#13063323—21no—
224#13063323—21no—
225#13063323—21no—
226#13063323—21no—
227#13063323—21no—
228#13063321C2311yescharacteristic
229#13063320—21no—
230#13063319—21no—
231#13063318—21no—
232#13063318—21no—
233#13063317C2311yescharacteristic
234#13063317C2311yescharacteristic
235#13063317C2311yescharacteristic
236#13063316C2311yescharacteristic
237#13063316C2311yescharacteristic
238#13063316C2311yescharacteristic
239#13063316C2311yescharacteristic
240#13063316C2311yescharacteristic
241#13063315—21no—
242#13063315—21no—
243#13063315—21no—
244#13063315—21no—
245#13063315—21no—
246#13063315—21no—
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063314—21no—
251#13063313C2311yescharacteristic
252#13063312C2311yescharacteristic
253#13063311—21no—
254#13063311—21no—
255#13063310—21no—
256#13063308—21no—
257#13063308—21no—
258#13063308—21no—
259#13063307—21no—
260#13063307—21no—
261#13063306—21no—
262#13063306—21no—
263#13063306—21no—
264#13063305—21no—
265#13063305—21no—
266#13063305—21no—
267#13063305—21no—
268#13063305C2311yescharacteristic
269#13063304—21no—
270#13063304—21no—
271#13063304—21no—
272#13063304C2311yescharacteristic
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#13063303—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#13063301—21no—
291#13063301—21no—
292#13063300C2311yescharacteristic
293#13063299—21no—
294#13063299C2311yescharacteristic
295#13063298—21no—
296#13063298—21no—
297#13063297—21no—
298#13063297—21no—
299#13063297—21no—
300#13063297—21no—
301#13063297—21no—
302#13063297—21no—
303#13063296C2311yescharacteristic
304#13063296C2311yescharacteristic
305#13063293—21no—
306#13063293—21no—
307#13063293—21no—
308C4×Dic86—21no—
309C4×Dic86—21no—
310C4×Dic86—21no—
311C4×Dic86—21no—
312C4×Dic86—21no—
313C4×Dic86—21no—
314C4×Dic86C2311yescharacteristic
315#13063290C2311yescharacteristic
316C4×D172C2311yescharacteristic
317D4×Dic43—21no—
318D4×Dic43—21no—
319D4×Dic43C2311yescharacteristic
320D4×Dic43C2311yescharacteristic
321#13063287C2311yescharacteristic
322C4×C22⋊D43—21no—
323C4×C22⋊D43—21no—
324C4×C22⋊D43—21no—
325(C22⋊D43)⋊C4—21no—
326(C22⋊D43)⋊C4—21no—
327(C22⋊D43)⋊C4—21no—
328(C22⋊D43)⋊C4—21no—
329#13063284C2311yescharacteristic
330#13063284C2311yescharacteristic
331#13063283C2311yescharacteristic
332#13063283C2311yescharacteristic
333#13063283C2311yescharacteristic
334#13063283C2311yescharacteristic
335#13063283C2311yescharacteristic
336#13063282—21no—
337#13063282—21no—
338#13063282—21no—
339#13063282D411yescharacteristic
340#13063282D411yescharacteristic
341#13063282D411yescharacteristic
342#13063282D411yescharacteristic
343#13063282C2311yescharacteristic
344#13063282C2311yescharacteristic
345#13063282C2311yescharacteristic
346#13063282C2311yescharacteristic
347#13063281—21no—
348#13063281—21no—
349#13063281—21no—
350#13063281—21no—
351C2×Dic43⋊C4—21no—
352C2×Dic43⋊C4D411yescharacteristic
353C2×Dic43⋊C4D411yescharacteristic
354C4⋊C4×D43C2311yescharacteristic
355C4⋊C4×D43C2311yescharacteristic
356C4⋊C4×D43C2311yescharacteristic
357C4⋊C4×D43C2311yescharacteristic
358C4⋊C4×D43C2311yescharacteristic
359C2×(C2×D43)⋊C4—21no—
360C2×(C2×D43)⋊C4D411yescharacteristic
361C2×(C2×D43)⋊C4D411yescharacteristic
362C22⋊C4×D43—21no—
363C22⋊C4×D43—21no—
364C22⋊C4×D43—21no—
365C22⋊C4×D43—21no—
366C2×C4×Dic43C2311yescharacteristic
367C42×D43—21no—
368C42×D43—21no—
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#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#13063236C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×#41×C43—21no—
436C4⋊Q8×C43C2311yescharacteristic
437C4⋊Q8×C43C2311yescharacteristic
438C4⋊Q8×C43C2311yescharacteristic
439#127×C43C2311yescharacteristic
440#125×C43C2311yescharacteristic
441#125×C43C2311yescharacteristic
442#124×C43—21no—
443C22⋊Q8×C43—21no—
444C22⋊Q8×C43—21no—
445#121×C43—21no—
446#121×C43C2311yescharacteristic
447#121×C43C2311yescharacteristic
448C4×Q8×C43—21no—
449C4×Q8×C43—21no—
450C4×D4×C43—21no—
451C4×D4×C43C2311yescharacteristic
452C4×D4×C43C2311yescharacteristic
453#117×C43C2311yescharacteristic
454#117×C43C2311yescharacteristic
455C2×C42×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
476C4×C8×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C23×D43C2×D411yescharacteristic
480#41×C43—82no—
481C2×Q8×C43—21no—
482C2×Q8×C43—21no—
483C2×Q8×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43C2411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43C2×D411yescharacteristic
493C22×C4×C43C2×D411yescharacteristic
494C22×C4×C43C2411yescharacteristic
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—
502C22×Dic43—21no—
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43C2×D411yescharacteristic
506C22×Dic43C2×D411yescharacteristic
507C22×Dic43C2×D411yescharacteristic
508#10621900—22no—
509#10621900—22no—
510#10621900—82no—
511D4×D43—22no—
512D4×D43—22no—
513D4×D43—82no—
514C2×D172—21no—
515C2×D172C2411yescharacteristic
516C2×C4×D43—22no—
517C2×C4×D43—22no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43C2×D411yescharacteristic
526C2×C4×D43C2×D411yescharacteristic
527C2×C4×D43C2411yescharacteristic
528C2×C4×D43C2411yescharacteristic
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×C43C2411yescharacteristic
549C4⋊C4×C43C2411yescharacteristic
550C4⋊C4×C43C2411yescharacteristic
551C4⋊C4×C43C2411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C22⋊C4×C43—21no—
555C22⋊C4×C43—21no—
556C22⋊C4×C43—21no—
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C42×C43—21no—
561C42×C43—21no—
562C42×C43C2×D411yescharacteristic
563C42×C43C2×D411yescharacteristic
564C42×C43C2411yescharacteristic
565C42×C43C2411yescharacteristic
566C22⋊Dic43—21no—
567C22⋊Dic43—21no—
568C22⋊Dic43—21no—
569C22⋊Dic43—21no—
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575(C2×D43)⋊C4—21no—
576(C2×D43)⋊C4—21no—
577(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
588(C2×D43)⋊C4C2×D411yescharacteristic
589(C2×D43)⋊C4C2×D411yescharacteristic
590(C2×D43)⋊C4C2×D411yescharacteristic
591(C2×D43)⋊C4C2×D411yescharacteristic
592(C2×D43)⋊C4C2×D411yescharacteristic
593(C2×D43)⋊C4C2×D411yescharacteristic
594(C2×D43)⋊C4C2×D411yescharacteristic
595C4⋊Dic43—21no—
596C4⋊Dic43—21no—
597C4⋊Dic43—21no—
598C4⋊Dic43—21no—
599C4⋊Dic43—21no—
600C4⋊Dic43—21no—
601C4⋊Dic43—21no—
602C4⋊Dic43—21no—
603C4⋊Dic43C2411yescharacteristic
604C4⋊Dic43C2411yescharacteristic
605C4⋊Dic43C2411yescharacteristic
606C4⋊Dic43C2411yescharacteristic
607C4⋊Dic43C2411yescharacteristic
608C4⋊Dic43C2411yescharacteristic
609Dic43⋊C4—21no—
610Dic43⋊C4—21no—
611Dic43⋊C4—21no—
612Dic43⋊C4—21no—
613Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
634Dic43⋊C4C2×D411yescharacteristic
635Dic43⋊C4C2×D411yescharacteristic
636Dic43⋊C4C2×D411yescharacteristic
637Dic43⋊C4C2×D411yescharacteristic
638Dic43⋊C4C2×D411yescharacteristic
639Dic43⋊C4C2×D411yescharacteristic
640Dic43⋊C4C2×D411yescharacteristic
641C4×Dic43—21no—
642C4×Dic43—21no—
643C4×Dic43—21no—
644C4×Dic43—21no—
645C4×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43—21no—
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—
676Q8×C43—81no—
677D4×C43—21no—
678D4×C43—21no—
679D4×C43—21no—
680D4×C43—21no—
681D4×C43—42no—
682D4×C43—42no—
683D4×C43—81no—
684D4×C43—81no—
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—21no—
693C2×C4×C43—41no—
694C2×C4×C43—41no—
695C2×C4×C43—81no—
696C2×C4×C43—81no—
697C2×C4×C43C22×D411yescharacteristic
698C2×C4×C43C22×D411yescharacteristic
699C2×C4×C43C22×D411yescharacteristic
700C2×C4×C43C22×D411yescharacteristic
701C2×C4×C43C22×D411yescharacteristic
702C2×C4×C43C2511yescharacteristic
703C22⋊D43—42no—
704C22⋊D43—42no—
705C22⋊D43—42no—
706C22⋊D43—81no—
707C22⋊D43—81no—
708C22⋊D43—81no—
709C22⋊D43—81no—
710C2×Dic43—22no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—41no—
719C2×Dic43—41no—
720C2×Dic43—42no—
721C2×Dic43—81no—
722C2×Dic43—81no—
723C2×Dic43C22×D411yescharacteristic
724C2×Dic43C22×D411yescharacteristic
725C2×Dic43C22×D411yescharacteristic
726C2×Dic43C22×D411yescharacteristic
727C2×Dic43C22×D411yescharacteristic
728C2×Dic43C22×D411yescharacteristic
729D172—21no—
730D172—21no—
731D172—81no—
732C4×D43—22no—
733C4×D43—21no—
734C4×D43—21no—
735C4×D43—22no—
736C4×D43—81no—
737C4×D43—81no—
738C4×D43—81no—
739C4×D43—81no—
740C4×D43—81no—
741C4×D43—81no—
742C4×D43—81no—
743C4×D432−1+412yes—
744C4×D432−1+412yes—
745Dic86—21no—
746Dic86—21no—
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#3241—431no—
820#3240—431no—
821#3240—431no—
822#3235—431no—
823#3235—431no—
824#3233—431no—
825#3233—431no—
826#3228—431no—
827#3228D4311yescharacteristic, complemented
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—431no—
867#544—861no—
868#544—861no—
869#543—861no—
870#543—861no—
871#542—431no—
872#542—431no—
873#540—431no—
874#540—431no—
875#535—431no—
876#533—431no—
877#533—431no—
878#533—431no—
879#533—861no—
880#533—861no—
881#533—861no—
882#533—861no—
883#533C2×D4311yescharacteristic, complemented
884#532—431no—
885#532C2×D4311yescharacteristic
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#501—431no—
903#500—431no—
904#500C2×D4311yescharacteristic, complemented
905#499—431no—
906#499—431no—
907#499—431no—
908#499—431no—
909#498—431no—
910#498C2×D4311yescharacteristic, complemented
911#490—431no—
912#490—431no—
913#490—431no—
914#490—431no—
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#486C2×D4311yescharacteristic, complemented
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#482C2×D4311yescharacteristic
950#482C2×D4311yescharacteristic
951#482C2×D4311yescharacteristic, complemented
952#482C2×D4311yescharacteristic, complemented
953#481—431no—
954#481—431no—
955#481—431no—
956#480—431no—
957#480—431no—
958#480—431no—
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#478C2×D4311yescharacteristic, complemented
972#478C2×D4311yescharacteristic, complemented
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#476—431no—
983#475—431no—
984#475—431no—
985#474—431no—
986#474—431no—
987#474—431no—
988#474—431no—
989#474—431no—
990#474—431no—
991#433—431no—
992#433—431no—
993#433—431no—
994#433—431no—
995#432—431no—
996#432—431no—
997#431—431no—
998#431C2×D4311yescharacteristic, complemented
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—21no—
1023C2×#41—431no—
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—431no—
1033C4⋊Q8—431no—
1034C4⋊Q8—431no—
1035C4⋊Q8—431no—
1036C4⋊Q8—431no—
1037C4⋊Q8—431no—
1038C4⋊Q8—431no—
1039C4⋊Q8—861no—
1040C4⋊Q8—861no—
1041C4⋊Q8—861no—
1042C4⋊Q8—861no—
1043C4⋊Q8—861no—
1044C4⋊Q8—861no—
1045C4⋊Q8—861no—
1046C4⋊Q8—861no—
1047C4⋊Q8—861no—
1048C4⋊Q8C22×D4311yescharacteristic
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—431no—
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#125—861no—
1074#125C22×D4311yescharacteristic
1075#125C22×D4311yescharacteristic
1076#124—21no—
1077#124—431no—
1078#124—431no—
1079#124—861no—
1080#124—861no—
1081#124—861no—
1082#123—861no—
1083#123—861no—
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—431no—
1123#121—431no—
1124#121—431no—
1125#121—431no—
1126#121—861no—
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—21no—
1141C4×Q8—21no—
1142C4×Q8—431no—
1143C4×Q8—431no—
1144C4×Q8—861no—
1145C4×Q8—861no—
1146C4×Q8—861no—
1147C4×Q8—861no—
1148C4×Q8—861no—
1149C4×Q8—861no—
1150C4×D4—21no—
1151C4×D4—431no—
1152C4×D4—431no—
1153C4×D4—431no—
1154C4×D4—431no—
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—431no—
1197C2×C4⋊C4—861no—
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—861no—
1207C2×C42—861no—
1208C2×C42C22×D4311yescharacteristic
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#97—431no—
1293C4×C8—431no—
1294C4×C8—431no—
1295C4×C8C22×D4311yescharacteristic
1296C4×C8C22×D4311yescharacteristic
1297C24—431no—
1298C24—861no—
1299#41—82no—
1300#41—862no—
1301#41—862no—
1302#41—3442no—
1303C2×Q8—21no—
1304C2×Q8—21no—
1305C2×Q8—21no—
1306C2×Q8—431no—
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—431no—
1335C22×C4—431no—
1336C22×C4—431no—
1337C22×C4—431no—
1338C22×C4—431no—
1339C22×C4—431no—
1340C22×C4—431no—
1341C22×C4—862no—
1342C22×C4—862no—
1343C22×C4—861no—
1344C22×C4—861no—
1345C22×C4—861no—
1346C22×C4—861no—
1347C22×C4—861no—
1348C22×C4—861no—
1349C22×C4—861no—
1350C22×C4—861no—
1351C22×C4—861no—
1352C22×C4—861no—
1353C22×C4D4×D4311yescharacteristic
1354C22×C4D4×D4311yescharacteristic
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—431no—
1376C4⋊C4—431no—
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⋊C4—861no—
1420C4⋊C4—861no—
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—21no—
1433C22⋊C4—431no—
1434C22⋊C4—431no—
1435C22⋊C4—431no—
1436C22⋊C4—431no—
1437C22⋊C4—431no—
1438C22⋊C4—431no—
1439C22⋊C4—431no—
1440C22⋊C4—431no—
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⋊C4—861no—
1461C22⋊C4—861no—
1462C42—21no—
1463C42—21no—
1464C42—431no—
1465C42—431no—
1466C42—431no—
1467C42—431no—
1468C42—861no—
1469C42—861no—
1470C42—861no—
1471C42—861no—
1472C42—861no—
1473C42—861no—
1474C42—861no—
1475C42—861no—
1476C42—861no—
1477C42D4×D4311yescharacteristic
1478C42D4×D4311yescharacteristic
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—81no—
1496Q8—861no—
1497Q8—861no—
1498Q8—3441no—
1499Q8—3441no—
1500Q8—3441no—
1501Q8—3441no—
1502Q8—3441no—
1503Q8—3441no—
1504Q8—3441no—
1505D4—21no—
1506D4—21no—
1507D4—21no—
1508D4—21no—
1509D4—42no—
1510D4—42no—
1511D4—81no—
1512D4—81no—
1513D4—861no—
1514D4—861no—
1515D4—3441no—
1516D4—3441no—
1517D4—3441no—
1518D4—3441no—
1519D4—3441no—
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—41no—
1532C2×C4—41no—
1533C2×C4—81no—
1534C2×C4—81no—
1535C2×C4—431no—
1536C2×C4—432no—
1537C2×C4—432no—
1538C2×C4—431no—
1539C2×C4—431no—
1540C2×C4—431no—
1541C2×C4—431no—
1542C2×C4—431no—
1543C2×C4—862no—
1544C2×C4—862no—
1545C2×C4—862no—
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—861no—
1555C2×C4—3441no—
1556C2×C4—3441no—
1557C2×C4—3441no—
1558C2×C4—3441no—
1559C2×C4—3441no—
1560C2×C4—3441no—
1561C2×C4—3441no—
1562C2×C4—3441no—
1563C2×C4—3441no—
1564C2×C4—1722no—
1565C2×C4—1721no—
1566C2×C4—1721no—
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#1914936411yescharacteristic
1636C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3228C2
socleC22×C43C23×D4
prime radical#19148325C2
hypercenter#3228D43
hypocenterC43#60875
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3228

Complements

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

NH ≅ G/Ntype
2. #19147998C2semidirect
3. #19145896C2semidirect
4. #19145892C2semidirect
5. #19145881C2semidirect
6. #19145877C2semidirect
7. #19145853C2semidirect
8. #19145845C2semidirect
9. #19145841C2semidirect
10. #19145841C2semidirect
11. #19145835C2semidirect
12. #19145833C2semidirect
13. #19145790C2semidirect
14. #19145789C2semidirect
15. #19145776C2semidirect
16. #19145771C2semidirect
17. #19145729C2semidirect
18. #19145128C2semidirect
19. #19145120C2semidirect
20. #19144944C2semidirect
21. #19144944C2semidirect
22. #19144534C2semidirect
23. #19144523C2semidirect
24. #19144507C2semidirect
25. #482×D43C2semidirect
26. #19144458C2semidirect
27. #19144447C2semidirect
28. #19144425C2semidirect
29. #19144423C2semidirect
30. #19143248C2semidirect
31. C43×#3228C2semidirect
42. #14583529C22semidirect
43. #14583529C22semidirect
49. #14583526C22semidirect
50. #14583526C22semidirect
58. #14583456C22semidirect
63. #14583452C22semidirect
64. #14583452C22semidirect
75. #14583307C22semidirect
76. #14583307C22semidirect
77. #14583306C22semidirect
78. #14583306C22semidirect
79. #14583305C22semidirect
80. #14583305C22semidirect
81. #14583305C22semidirect
82. #14583305C22semidirect
83. #14583303C22semidirect
84. #14583301C22semidirect
85. #14583301C22semidirect
86. #14583300C22semidirect
87. #14583299C22semidirect
88. #14583296C22semidirect
89. #14583263C22semidirect
90. #14583263C22semidirect
91. #14583262C22semidirect
92. #14583262C22semidirect
93. #14583261C22semidirect
94. #14583261C22semidirect
95. #14583257C22semidirect
96. #14583257C22semidirect
97. #14583254C22semidirect
98. #14583254C22semidirect
99. #14583252C22semidirect
100. #14583252C22semidirect
101. #14583244C22semidirect
102. #14583244C22semidirect
103. #14583243C22semidirect
104. #14583242C22semidirect
105. #14583241C22semidirect
106. #14583241C22semidirect
107. #14583240C22semidirect
108. #14583240C22semidirect
109. #14583236C22semidirect
110. #14583231C22semidirect
118. #14583222C22semidirect
120. #14583221C22semidirect
123. #14583220C22semidirect
124. #14583220C22semidirect
127. #14583216C22semidirect
130. #14583211C22semidirect
131. #14583209C22semidirect
132. #14583205C22semidirect
133. #14583203C22semidirect
134. #14583203C22semidirect
135. #14583202C22semidirect
136. #14583201C22semidirect
137. #14583201C22semidirect
138. #14583198C22semidirect
139. #14583197C22semidirect
140. #14583197C22semidirect
141. #14583196C22semidirect
142. #14583196C22semidirect
143. #14583195C22semidirect
144. #14583193C22semidirect
145. #14583190C22semidirect
146. #14583189C22semidirect
147. #14583189C22semidirect
148. #14583188C22semidirect
149. #14583187C22semidirect
150. #14583187C22semidirect
151. #14583185C22semidirect
152. #14583183C22semidirect
153. #14583180C22semidirect
154. #14583179C22semidirect
155. #14583179C22semidirect
156. #14583178C22semidirect
157. #14583177C22semidirect
158. #14583177C22semidirect
159. #14582959C22semidirect
160. #14582959C22semidirect
161. #14582958C22semidirect
162. #14582958C22semidirect
163. #14582956C22semidirect
164. #14582953C22semidirect
165. #14582949C22semidirect
188. C43×#533C22semidirect
190. C43×#500C22semidirect
191. C43×#498C22semidirect
192. C43×#486C22semidirect
193. C43×#486C22semidirect
196. C43×#482C22semidirect
197. C43×#482C22semidirect
198. C43×#478C22semidirect
199. C43×#478C22semidirect
200. C43×#478C22semidirect
201. C43×#478C22semidirect
202. C43×#431C22semidirect
827. #3228D43semidirect
883. #533C2×D43semidirect
904. #500C2×D43semidirect
910. #498C2×D43semidirect
925. #486C2×D43semidirect
926. #486C2×D43semidirect
951. #482C2×D43semidirect
952. #482C2×D43semidirect
971. #478C2×D43semidirect
972. #478C2×D43semidirect
973. #478C2×D43semidirect
974. #478C2×D43semidirect
998. #431C2×D43semidirect
1021. C43#60875semidirect

Maximal subgroups

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

subgroupindex
#191483252
#191479982
#191458962
#191458922
#191458812
#191458772
#191458532
#191458452
#191458412
#191458352
#191458332
#191457902
#191457892
#191457762
#191457712
#191457292
#191451282
#191451202
#191449442
#191445342
#191445232
#191445072
#482×D432
#191444582
#191444472
#191444252
#191444232
#191432482
C43×#32282
#6087543