Finite Group Databasebeta

← #25966826

Subgroups — #25966826

Order 11008.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148342C211yesmaximal, characteristic, complemented
2#19148335C211yesmaximal, characteristic, complemented
3#19145304C211yesmaximal, characteristic, complemented
4#19145299C211yesmaximal, characteristic, complemented
5#19145297C211yesmaximal, characteristic, complemented
6#19145269C211yesmaximal, characteristic, complemented
7#19145268C211yesmaximal, characteristic, complemented
8#19145261C211yesmaximal, characteristic, complemented
9#19145260C211yesmaximal, characteristic, complemented
10#19145253C211yesmaximal, characteristic, complemented
11#19145252C211yesmaximal, characteristic, complemented
12#19145233C211yesmaximal, characteristic, complemented
13#19145232C211yesmaximal, characteristic, complemented
14#19145177C211yesmaximal, characteristic, complemented
15#19145176C211yesmaximal, characteristic, complemented
16#19145159C211yesmaximal, characteristic, complemented
17#19145158C211yesmaximal, characteristic, complemented
18#19145130C211yesmaximal, characteristic, complemented
19#19145087C211yesmaximal, characteristic, complemented
20#19144961C211yesmaximal, characteristic, complemented
21#19144957C211yesmaximal, characteristic, complemented
22#19144222C211yesmaximal, characteristic, complemented
23#19144218C211yesmaximal, characteristic, complemented
24#19144171C211yesmaximal, characteristic
25#467×D43C211yesmaximal, characteristic, complemented
26#19143467C211yesmaximal, characteristic, complemented
27#19143460C211yesmaximal, characteristic, complemented
28#19143437C211yesmaximal, characteristic, complemented
29#19143435C211yesmaximal, characteristic, complemented
30C2×#14582856C211yesmaximal, characteristic, complemented
31C43×#3181C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063354C2211yescharacteristic
34C2×#13063346C2211yescharacteristic
35C2×Q16×D43C2211yescharacteristic
36C22×#10621872C2211yescharacteristic
37C22×C8×D43C2211yescharacteristic
38#14583621—21no—
39#14583616—21no—
40#14583608—21no—
41#14583603—21no—
42#14583590—21no—
43#14583588—21no—
44#14583586—21no—
45#14583585—21no—
46#14583582—21no—
47#14583582—21no—
48#14583581—21no—
49#14583581—21no—
50#14583578—21no—
51#14583576—21no—
52#14583573—21no—
53#14583572—21no—
54#14583529C2211yescharacteristic
55#14583526C2211yescharacteristic
56#14583523C2211yescharacteristic
57#14583521C2211yescharacteristic
58#14583518C2211yescharacteristic
59#14583514C2211yescharacteristic
60#14583512C2211yescharacteristic
61#14583510C2211yescharacteristic
62#14583507C2211yescharacteristic
63#14583507C2211yescharacteristic
64#14583474C2211yescharacteristic
65#14583469C2211yescharacteristic
66#14583456C2211yescharacteristic
67#14583451C2211yescharacteristic
68#14583451C2211yescharacteristic
69#14583435C2211yescharacteristic
70#14583433C2211yescharacteristic
71#14583430C2211yescharacteristic
72#14583412C2211yescharacteristic
73#14583409C2211yescharacteristic
74C22⋊Q8×D43C2211yescharacteristic
75C22⋊Q8×D43C2211yescharacteristic
76#14583381C2211yescharacteristic
77#14583378C2211yescharacteristic
78#14583375C2211yescharacteristic
79#14583375C2211yescharacteristic
80C2×#13063282C2211yescharacteristic
81#14583308C2211yescharacteristic, complemented
82#14583307C2211yescharacteristic, complemented
83#14583306C2211yescharacteristic, complemented
84#14583303C2211yescharacteristic, complemented
85#14583302C2211yescharacteristic, complemented
86#14583299C2211yescharacteristic, complemented
87#14583298C2211yescharacteristic, complemented
88#14583293C2211yescharacteristic, complemented
89#14583292C2211yescharacteristic, complemented
90#14583290C2211yescharacteristic, complemented
91#14583281C2211yescharacteristic, complemented
92#14583280C2211yescharacteristic, complemented
93#14583278C2211yescharacteristic, complemented
94#14583277C2211yescharacteristic, complemented
95#14583268C2211yescharacteristic, complemented
96#14583266C2211yescharacteristic, complemented
97#14583266C2211yescharacteristic, complemented
98#14583260C2211yescharacteristic, complemented
99#14583259C2211yescharacteristic, complemented
100#14583257C2211yescharacteristic, complemented
101#14583256C2211yescharacteristic, complemented
102#14583255C2211yescharacteristic, complemented
103#14583253C2211yescharacteristic, complemented
104#14583252C2211yescharacteristic, complemented
105#14583251C2211yescharacteristic, complemented
106#14583249C2211yescharacteristic, complemented
107#14583248C2211yescharacteristic, complemented
108#14583248C2211yescharacteristic, complemented
109#14583158C2211yescharacteristic
110#14583156C2211yescharacteristic
111#14583156C2211yescharacteristic
112#14583154C2211yescharacteristic
113#14583148C2211yescharacteristic
114#14583146C2211yescharacteristic
115#14583144C2211yescharacteristic
116#14583142C2211yescharacteristic
117#14583141C2211yescharacteristic
118#14583140C2211yescharacteristic
119#14583140C2211yescharacteristic
120#14583139C2211yescharacteristic
121#14583139C2211yescharacteristic
122#14583139C2211yescharacteristic
123#14583138C2211yescharacteristic
124#14583138C2211yescharacteristic
125#14583138C2211yescharacteristic
126#14583138C2211yescharacteristic
127#14583138C2211yescharacteristic
128#14583137C2211yescharacteristic
129#14583134C2211yescharacteristic
130#14583133C2211yescharacteristic
131#14583130C2211yescharacteristic
132#14583129C2211yescharacteristic
133#14583128C2211yescharacteristic
134#14583128C2211yescharacteristic
135#14583126C2211yescharacteristic
136#14583125C2211yescharacteristic
137#14583007C2211yescharacteristic, complemented
138#14583007C2211yescharacteristic, complemented
139#14583006C2211yescharacteristic, complemented
140#14583005C2211yescharacteristic, complemented
141#14583003C2211yescharacteristic, complemented
142#14583003C2211yescharacteristic, complemented
143#14583002C2211yescharacteristic, complemented
144#14583001C2211yescharacteristic, complemented
145#14583001C2211yescharacteristic, complemented
146#14583000C2211yescharacteristic, complemented
147#14582998C2211yescharacteristic, complemented
148#14582996C2211yescharacteristic, complemented
149Q16×Dic43C2211yescharacteristic, complemented
150#14582993C2211yescharacteristic, complemented
151C4×#10621885C2211yescharacteristic, complemented
152C4×#10621885C2211yescharacteristic, complemented
153C4×#10621885C2211yescharacteristic, complemented
154C4×#10621885C2211yescharacteristic, complemented
155C4×#10621885C2211yescharacteristic, complemented
156#14582991C2211yescharacteristic, complemented
157#14582991C2211yescharacteristic, complemented
158#14582991C2211yescharacteristic, complemented
159SD16×Dic43C2211yescharacteristic, complemented
160C4×#10621884C2211yescharacteristic, complemented
161#14582986C2211yescharacteristic, complemented
162C4×#10621883C2211yescharacteristic, complemented
163C4×#10621882C2211yescharacteristic, complemented
164#14582979C2211yescharacteristic, complemented
165#14582940C2211yescharacteristic
166#14582938C2211yescharacteristic
167#14582934C2211yescharacteristic
168#107×D43C2211yescharacteristic
169#14582906C2211yescharacteristic
170#14582906C2211yescharacteristic
171#14582899C2211yescharacteristic
172#14582897C2211yescharacteristic
173#14582894C2211yescharacteristic
174#14582892C2211yescharacteristic
175#103×D43C2211yescharacteristic
176#103×D43C2211yescharacteristic
177#14582856C2211yescharacteristic
178#14582856C2211yescharacteristic
179#14582856C2211yescharacteristic
180#14582856C2211yescharacteristic
181#14582856C2211yescharacteristic
182#14582856C2211yescharacteristic
183#14582856C2211yescharacteristic
184#14582856C2211yescharacteristic
185C2×#13063235C2211yescharacteristic
186C2×C4×C43⋊C8C2211yescharacteristic
187C2×C8×Dic43C2211yescharacteristic
188C43×#533C2211yescharacteristic
189C43×#529C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#497C2211yescharacteristic, complemented
192C43×#491C2211yescharacteristic, complemented
193C43×#489C2211yescharacteristic, complemented
194C43×#467C2211yescharacteristic
195C43×#467C2211yescharacteristic
196C43×#465C2211yescharacteristic
197C43×#465C2211yescharacteristic
198C43×#441C2211yescharacteristic, complemented
199C43×#441C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic, complemented
202C2×#97×C43C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C2×Q8×D43C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208#13063357—24no—
209#13063354—24no—
210#13063346—24no—
211C2×Dic172C2311yescharacteristic
212C2×Dic172C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621885C2311yescharacteristic
218Q16×D43—24no—
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621872—24no—
225C2×#10621872C2311yescharacteristic
226C2×#10621872C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C22×C43⋊C8C2311yescharacteristic
230C22×C43⋊C8C2311yescharacteristic
231C2×C8×D43—24no—
232C2×C8×D43C2311yescharacteristic
233C2×C8×D43C2311yescharacteristic
234C2×C8×D43C2311yescharacteristic
235C2×C8×D43C2311yescharacteristic
236#13063325C2311yescharacteristic
237#13063325C2311yescharacteristic
238#13063324—21no—
239#13063324C2311yescharacteristic
240#13063324C2311yescharacteristic
241#13063323—21no—
242#13063323C2311yescharacteristic
243#13063323C2311yescharacteristic
244#13063320—21no—
245#13063320—21no—
246#13063320—21no—
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063320—21no—
252#13063319—21no—
253#13063319—21no—
254#13063319—21no—
255#13063319—21no—
256#13063318—21no—
257#13063318—21no—
258#13063318—21no—
259#13063317—21no—
260#13063317—21no—
261#13063317—21no—
262#13063317C2311yescharacteristic
263#13063316—21no—
264#13063316—21no—
265#13063316C2311yescharacteristic
266#13063316C2311yescharacteristic
267#13063315—21no—
268#13063315—21no—
269#13063315—21no—
270#13063315—21no—
271#13063315—21no—
272#13063315—21no—
273#13063315—21no—
274#13063315—21no—
275#13063314—21no—
276#13063314C2311yescharacteristic
277#13063313—21no—
278#13063313C2311yescharacteristic
279#13063312C2311yescharacteristic
280#13063311—21no—
281#13063311—21no—
282#13063310—21no—
283#13063310—21no—
284#13063310—21no—
285#13063310—21no—
286#13063310—21no—
287#13063309—21no—
288#13063309—21no—
289#13063308—21no—
290#13063308—21no—
291#13063307—21no—
292#13063307—21no—
293#13063307—21no—
294#13063306—21no—
295#13063305—21no—
296#13063305C2311yescharacteristic
297#13063305C2311yescharacteristic
298#13063305C2311yescharacteristic
299#13063304—21no—
300#13063304—21no—
301#13063304C2311yescharacteristic
302#13063304C2311yescharacteristic
303#13063304C2311yescharacteristic
304#13063303—21no—
305#13063303—21no—
306#13063303—21no—
307#13063303—21no—
308#13063303—21no—
309#13063303—21no—
310#13063303—21no—
311#13063302—21no—
312#13063302—21no—
313#13063302—21no—
314#13063302—21no—
315#13063302—21no—
316#13063302—21no—
317#13063302—21no—
318#13063301—21no—
319#13063301—21no—
320#13063301C2311yescharacteristic
321#13063301C2311yescharacteristic
322#13063301C2311yescharacteristic
323#13063300C2311yescharacteristic
324#13063299C2311yescharacteristic
325#13063296C2311yescharacteristic
326#13063295—21no—
327#13063293—21no—
328Q8×Dic43C2311yescharacteristic
329Q8×Dic43C2311yescharacteristic
330Q8×Dic43C2311yescharacteristic
331C4×Dic86—21no—
332C4×Dic86—21no—
333C4×Dic86—21no—
334C4×Dic86C2311yescharacteristic
335C4×Dic86C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337#13063290—21no—
338#13063290—21no—
339#13063290—21no—
340#13063290—21no—
341#13063290C2311yescharacteristic
342#13063290C2311yescharacteristic
343#13063290C2311yescharacteristic
344C4×D172—21no—
345C4×D172C2311yescharacteristic
346D4×Dic43—21no—
347D4×Dic43—21no—
348D4×Dic43C2311yescharacteristic
349#13063287—21no—
350#13063287—21no—
351#13063287C2311yescharacteristic
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358#13063284—21no—
359#13063283—21no—
360#13063283—21no—
361#13063283—21no—
362#13063283C2311yescharacteristic
363#13063283C2311yescharacteristic
364#13063282—21no—
365#13063282—21no—
366#13063282—21no—
367#13063282—21no—
368#13063282D411yescharacteristic
369#13063282D411yescharacteristic
370#13063282D411yescharacteristic
371#13063282D411yescharacteristic
372#13063282C2311yescharacteristic
373#13063282C2311yescharacteristic
374#13063282C2311yescharacteristic
375#13063282C2311yescharacteristic
376#13063281—21no—
377#13063281—21no—
378#13063281—21no—
379#13063281—21no—
380C2×Dic43⋊C4—21no—
381C2×Dic43⋊C4D411yescharacteristic
382C2×Dic43⋊C4D411yescharacteristic
383C4⋊C4×D43—21no—
384C4⋊C4×D43—21no—
385C4⋊C4×D43—21no—
386C4⋊C4×D43C2311yescharacteristic
387C4⋊C4×D43C2311yescharacteristic
388C2×(C2×D43)⋊C4D411yescharacteristic
389C2×(C2×D43)⋊C4D411yescharacteristic
390C22⋊C4×D43—21no—
391C22⋊C4×D43—21no—
392C2×C4×Dic43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063258C2311yescharacteristic
400#13063258C2311yescharacteristic
401#13063257C2311yescharacteristic
402#13063257C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433C4×C43⋊C8C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C8×Dic43C2311yescharacteristic
439C8×Dic43C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C2×Q16×C43C2311yescharacteristic
442C2×Q16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C22×C8×C43C2311yescharacteristic
446C22×C8×C43C2311yescharacteristic
447C4⋊Q8×C43C2311yescharacteristic
448C4⋊Q8×C43C2311yescharacteristic
449#126×C43—21no—
450#125×C43—21no—
451#125×C43C2311yescharacteristic
452#124×C43C2311yescharacteristic
453#123×C43—21no—
454C22⋊Q8×C43—21no—
455C22⋊Q8×C43C2311yescharacteristic
456C22⋊Q8×C43C2311yescharacteristic
457C22⋊Q8×C43C2311yescharacteristic
458#121×C43C2311yescharacteristic
459C4×Q8×C43—21no—
460C4×Q8×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462C4×Q8×C43C2311yescharacteristic
463C4×D4×C43—21no—
464C4×D4×C43C2311yescharacteristic
465#117×C43—21no—
466#117×C43—21no—
467C2×C42×C43C2311yescharacteristic
468#107×C43C2311yescharacteristic
469#107×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471#106×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481#97×C43C2311yescharacteristic
482#97×C43C2311yescharacteristic
483#97×C43C2311yescharacteristic
484C23×D43C2×D411yescharacteristic
485C2×Q8×C43—21no—
486C2×Q8×C43C2411yescharacteristic
487C2×Q8×C43C2411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43C2411yescharacteristic
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—
498C22×Dic43—21no—
499C22×Dic43—21no—
500C22×Dic43C2×D411yescharacteristic
501C22×Dic43C2×D411yescharacteristic
502C22×Dic43C2×D411yescharacteristic
503#10621902—22no—
504#10621902—22no—
505Q8×D43—22no—
506Q8×D43—22no—
507Q8×D43—22no—
508Q8×D43—22no—
509#10621900—22no—
510#10621900—22no—
511C2×D172—21no—
512C2×D172—21no—
513C2×D172C2411yescharacteristic
514C2×C4×D43—22no—
515C2×C4×D43—22no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43C2×D411yescharacteristic
524C2×C4×D43C2×D411yescharacteristic
525C2×C4×D43C2411yescharacteristic
526C2×C4×D43C2411yescharacteristic
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86C2411yescharacteristic
533C2×Dic86C2411yescharacteristic
534C2×Dic86C2411yescharacteristic
535Q16×C43—22no—
536Q16×C43—22no—
537SD16×C43—22no—
538SD16×C43—22no—
539C2×C8×C43—22no—
540C2×C8×C43—22no—
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C2×C8×C43C2411yescharacteristic
544C2×C8×C43C2411yescharacteristic
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43C2411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C42×C43—21no—
568C42×C43—21no—
569C42×C43—21no—
570C42×C43C2×D411yescharacteristic
571C42×C43C2×D411yescharacteristic
572C42×C43C2411yescharacteristic
573C42×C43C2411yescharacteristic
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581#10621885—22no—
582#10621885—22no—
583#10621885—22no—
584#10621885—22no—
585#10621885—22no—
586#10621884—22no—
587#10621883—22no—
588#10621882—22no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—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)⋊C4C2×D411yescharacteristic
606(C2×D43)⋊C4C2×D411yescharacteristic
607(C2×D43)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
609(C2×D43)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611(C2×D43)⋊C4C2×D411yescharacteristic
612(C2×D43)⋊C4C2×D411yescharacteristic
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2×D411yescharacteristic
673C4×Dic43C2411yescharacteristic
674C4×Dic43C2411yescharacteristic
675C2×C43⋊C8—22no—
676C2×C43⋊C8—22no—
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681Dic172—22no—
682Dic172—22no—
683#10621873—22no—
684#10621873—22no—
685#10621872—22no—
686#10621872—22no—
687#10621872—22no—
688#10621872#4114yes—
689C8×D43—22no—
690C8×D43—22no—
691C8×D43—22no—
692C8×D43#4114yes—
693C23×C43—21no—
694C23×C43C22×D411yescharacteristic
695C22×D43—22no—
696C22×D43—22no—
697C22×D43—21no—
698C22×D43—41no—
699C22×D43C22×D411yescharacteristic
700C22×D43C22×D411yescharacteristic
701Q8×C43—21no—
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—21no—
705Q8×C43—21no—
706Q8×C43—21no—
707Q8×C43—81no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—42no—
711C2×C4×C43—22no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—41no—
722C2×C4×C43—81no—
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C2511yescharacteristic
729C22⋊D43—42no—
730C22⋊D43—42no—
731C22⋊D43—81no—
732C2×Dic43—22no—
733C2×Dic43—22no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—41no—
742C2×Dic43—42no—
743C2×Dic43—81no—
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750D172—21no—
751D172—21no—
752D172—42no—
753D172—81no—
754C4×D43—22no—
755C4×D43—21no—
756C4×D43—21no—
757C4×D43—22no—
758C4×D43—42no—
759C4×D43—42no—
760C4×D43—42no—
761C4×D43—81no—
762C4×D43—81no—
763C4×D43—81no—
764C4×D43—81no—
765C4×D43C2×#4112yes—
766C4×D43C2×#4112yes—
767Dic86—21no—
768Dic86—21no—
769Dic86—21no—
770Dic86—21no—
771Dic86—21no—
772Dic86—21no—
773Dic86—42no—
774Dic86—42no—
775Dic86—81no—
776Dic86—81no—
777Dic86—81no—
778C8×C43—21no—
779C8×C43—21no—
780C8×C43C2×#4112yes—
781C8×C43C2×#4112yes—
782C43⋊C8—21no—
783C43⋊C8—21no—
784C43⋊C8C2×#4112yes—
785C43⋊C8C2×#4112yes—
786#60708—431nomaximal, Sylow
787C22×C43—21no—
788C22×C43—21no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43#57812yes—
793C22×C43C23×D411yescharacteristic
794C2×D43—21no—
795C2×D43—21no—
796C2×D43—21no—
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—44no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—41no—
803C2×D43#53212yes—
804C4×C43—21no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43C22×#4111yescharacteristic
817C4×C43C22×#4111yescharacteristic
818Dic43—21no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—41no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830Dic43#53212yes—
831#3495—431no—
832#3495—431no—
833#3181—431no—
834#3181—431no—
835#3181—431no—
836#3181D4311yescharacteristic, complemented
837#3178—431no—
838#3178—431no—
839#3178—431no—
840#3178—431no—
841#3177—431no—
842#3177—431no—
843#3175—431no—
844#3175—431no—
845#3170—431no—
846#3170—431no—
847#3168—431no—
848#3168—431no—
849#3164—431no—
850#3156—431no—
851#3137—431no—
852#3137—431no—
853#3056—431no—
854#3056—431no—
855#3050—431no—
856C2×#467—431no—
857#2951—431no—
858#2950—431no—
859#2947—431no—
860#2947—431no—
861C2×#405—431no—
862C2×C43—22no—
863C2×C43—81no—
864C2×C43C2×#53211yescharacteristic
865C2×C43C2×#57811yescharacteristic
866C2×C43#358411yescharacteristic
867D43—22no—
868D43—41no—
869D43—81no—
870C2×#137—431no—
871C2×#137—431no—
872C2×#135—431no—
873C22×Q16—431no—
874C22×M16—431no—
875C23×C8—431no—
876#556—861no—
877#556—861no—
878#554—861no—
879#554—861no—
880#552—861no—
881#552—861no—
882#552—861no—
883#552—861no—
884#552—861no—
885#552—861no—
886#552—861no—
887#552—861no—
888#551—861no—
889#551—861no—
890#551—861no—
891#551—861no—
892#544—431no—
893#544—431no—
894#542—431no—
895#542—431no—
896#542—431no—
897#542—431no—
898#541—431no—
899#541—431no—
900#541—431no—
901#541—431no—
902#536—431no—
903#536—431no—
904#533—431no—
905#533—431no—
906#533—431no—
907#533C2×D4311yescharacteristic
908#529—431no—
909#529—431no—
910#529—431no—
911#529C2×D4311yescharacteristic
912#525—431no—
913#525—431no—
914C2×C22⋊Q8—431no—
915C2×C22⋊Q8—431no—
916#520—431no—
917#520—431no—
918#519—431no—
919#519—431no—
920C2×#117—431no—
921#501—431no—
922#501—431no—
923#501—431no—
924#501C2×D4311yescharacteristic, complemented
925#500—431no—
926#500—431no—
927#499—431no—
928#499—431no—
929#497—431no—
930#497—431no—
931#497—431no—
932#497C2×D4311yescharacteristic, complemented
933#495—431no—
934#495—431no—
935#494—431no—
936#494—431no—
937#491—431no—
938#491—431no—
939#491—431no—
940#491C2×D4311yescharacteristic, complemented
941#489—431no—
942#489—431no—
943#489—431no—
944#489C2×D4311yescharacteristic, complemented
945#488—431no—
946#488—431no—
947#488—431no—
948#488—431no—
949#487—431no—
950#487—431no—
951#487—431no—
952#487—431no—
953#470—431no—
954#470—431no—
955#470—431no—
956#470—431no—
957#468—431no—
958#468—431no—
959#468—431no—
960#468—431no—
961#467—431no—
962#467—431no—
963#467—431no—
964#467—431no—
965#467—431no—
966#467—431no—
967#467—431no—
968#467—431no—
969#467—431no—
970#467—431no—
971#467—431no—
972#467—431no—
973#467C2×D4311yescharacteristic
974#467C2×D4311yescharacteristic
975#466—431no—
976#466—431no—
977#465—431no—
978#465—431no—
979#465—431no—
980#465—431no—
981#465—431no—
982#465—431no—
983#465C2×D4311yescharacteristic
984#465C2×D4311yescharacteristic
985#441—431no—
986#441—431no—
987#441—431no—
988#441—431no—
989#441—431no—
990#441—431no—
991#441C2×D4311yescharacteristic, complemented
992#441C2×D4311yescharacteristic, complemented
993#440—431no—
994#440—431no—
995#440—431no—
996#440—431no—
997#440—431no—
998#440—431no—
999#440C2×D4311yescharacteristic, complemented
1000#440C2×D4311yescharacteristic, complemented
1001C4×Q16—431no—
1002C4×Q16—431no—
1003C4×Q16—431no—
1004C4×Q16—431no—
1005C4×Q16—431no—
1006C4×Q16—431no—
1007C4×Q16—431no—
1008C4×Q16—431no—
1009C4×Q16—431no—
1010C4×Q16—431no—
1011C4×SD16—431no—
1012C4×SD16—431no—
1013C4×SD16—431no—
1014C4×SD16—431no—
1015C4×D8—431no—
1016C4×D8—431no—
1017#428—431no—
1018#428—431no—
1019#427—431no—
1020C2×#107—431no—
1021#419—431no—
1022#419—431no—
1023#417—431no—
1024#417—431no—
1025#416—431no—
1026#416—431no—
1027C2×#103—431no—
1028C2×#103—431no—
1029#405—431no—
1030#405—431no—
1031#405—431no—
1032#405—431no—
1033#405—431no—
1034#405—431no—
1035#405—431no—
1036#405—431no—
1037C2×#97—431no—
1038C2×#97C2×D4311yescharacteristic
1039C2×C4×C8—431no—
1040C2×C4×C8—431no—
1041C43#6070811yescharacteristic, complemented, Sylow
1042C2×#41—431no—
1043C2×#41—431no—
1044C22×Q8—431no—
1045C22×Q8—431no—
1046C23×C4—431no—
1047#137—864no—
1048#137—864no—
1049#135—864no—
1050C2×Q16—431no—
1051C2×Q16—431no—
1052C2×Q16—431no—
1053C2×Q16—431no—
1054C2×Q16—431no—
1055C2×Q16—431no—
1056C2×Q16—431no—
1057C2×Q16—864no—
1058C2×Q16C22×D4311yescharacteristic
1059C2×Q16C22×D4311yescharacteristic
1060C2×SD16—431no—
1061C2×SD16—431no—
1062C2×SD16—431no—
1063C2×SD16—431no—
1064C2×SD16C22×D4311yescharacteristic
1065C2×SD16C22×D4311yescharacteristic
1066C2×D8—431no—
1067C2×M16—431no—
1068C2×M16—431no—
1069C2×M16—431no—
1070C2×M16—431no—
1071C2×M16—864no—
1072C22×C8—431no—
1073C22×C8—431no—
1074C22×C8—431no—
1075C22×C8—431no—
1076C22×C8—431no—
1077C22×C8—431no—
1078C22×C8—864no—
1079C22×C8C22×D4311yescharacteristic
1080C22×C8C22×D4311yescharacteristic
1081C4⋊Q8—431no—
1082C4⋊Q8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—431no—
1085C4⋊Q8—431no—
1086C4⋊Q8—431no—
1087C4⋊Q8—861no—
1088C4⋊Q8—861no—
1089C4⋊Q8C22×D4311yescharacteristic
1090C4⋊Q8C22×D4311yescharacteristic
1091#126—21no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#125—21no—
1108#125—431no—
1109#125—431no—
1110#125—431no—
1111#125—861no—
1112#125—861no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125—861no—
1124#125C22×D4311yescharacteristic
1125#124—431no—
1126#124—431no—
1127#124—431no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124C22×D4311yescharacteristic
1133#123—21no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147C22⋊Q8—21no—
1148C22⋊Q8—431no—
1149C22⋊Q8—431no—
1150C22⋊Q8—431no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8—861no—
1173C22⋊Q8—861no—
1174C22⋊Q8—861no—
1175C22⋊Q8—861no—
1176C22⋊Q8C22×D4311yescharacteristic
1177C22⋊Q8C22×D4311yescharacteristic
1178C22⋊Q8C22×D4311yescharacteristic
1179#121—431no—
1180#121—431no—
1181#121—431no—
1182#121C22×D4311yescharacteristic
1183#120—861no—
1184#120—861no—
1185C4×Q8—21no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—431no—
1191C4×Q8—431no—
1192C4×Q8—431no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—861no—
1196C4×Q8—861no—
1197C4×Q8—861no—
1198C4×Q8—861no—
1199C4×Q8—861no—
1200C4×Q8—861no—
1201C4×Q8—861no—
1202C4×Q8C22×D4311yescharacteristic
1203C4×Q8C22×D4311yescharacteristic
1204C4×Q8C22×D4311yescharacteristic
1205C4×D4—21no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4C22×D4311yescharacteristic
1221#117—21no—
1222#117—21no—
1223#117—431no—
1224#117—431no—
1225#117—431no—
1226#117—431no—
1227#117—431no—
1228#117—431no—
1229#117—431no—
1230#117—431no—
1231#117—431no—
1232#117—431no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245C2×C4⋊C4—431no—
1246C2×C4⋊C4—431no—
1247C2×C4⋊C4—431no—
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—861no—
1250C2×C4⋊C4—861no—
1251C2×C4⋊C4—861no—
1252C2×C4⋊C4—861no—
1253C2×C22⋊C4—431no—
1254C2×C22⋊C4—431no—
1255C2×C22⋊C4—861no—
1256C2×C22⋊C4—861no—
1257C2×C42—431no—
1258C2×C42C22×D4311yescharacteristic
1259#107—431no—
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107—431no—
1266#107—431no—
1267#107C22×D4311yescharacteristic
1268#107C22×D4311yescharacteristic
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106C22×D4311yescharacteristic
1274#106C22×D4311yescharacteristic
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103—431no—
1280#103—431no—
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#103C22×D4311yescharacteristic
1298#103C22×D4311yescharacteristic
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102C22×D4311yescharacteristic
1306#102C22×D4311yescharacteristic
1307#97—431no—
1308#97—431no—
1309#97—431no—
1310#97—431no—
1311#97C22×D4311yescharacteristic
1312#97C22×D4311yescharacteristic
1313#97C22×D4311yescharacteristic
1314#97C22×D4311yescharacteristic
1315C4×C8—431no—
1316C4×C8—431no—
1317C4×C8—431no—
1318C4×C8—431no—
1319C4×C8—431no—
1320C4×C8—431no—
1321C4×C8—431no—
1322C4×C8—431no—
1323C24—431no—
1324#41—862no—
1325#41—862no—
1326#41—862no—
1327#41—862no—
1328C2×Q8—21no—
1329C2×Q8—431no—
1330C2×Q8—431no—
1331C2×Q8—431no—
1332C2×Q8—861no—
1333C2×Q8—861no—
1334C2×Q8—861no—
1335C2×Q8—861no—
1336C2×Q8—862no—
1337C2×Q8—862no—
1338C2×Q8—862no—
1339C2×Q8—862no—
1340C2×Q8—861no—
1341C2×Q8C23×D4311yescharacteristic
1342C2×Q8C23×D4311yescharacteristic
1343C2×Q8C23×D4311yescharacteristic
1344C2×D4—21no—
1345C2×D4—431no—
1346C2×D4—861no—
1347C2×D4—861no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—861no—
1351C2×D4C23×D4311yescharacteristic
1352C22×C4—21no—
1353C22×C4—431no—
1354C22×C4—431no—
1355C22×C4—431no—
1356C22×C4—431no—
1357C22×C4—431no—
1358C22×C4—431no—
1359C22×C4—431no—
1360C22×C4—862no—
1361C22×C4—862no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4D4×D4311yescharacteristic
1372C22×C4D4×D4311yescharacteristic
1373C22×C4C23×D4311yescharacteristic
1374Q16—22no—
1375Q16—22no—
1376Q16—862no—
1377Q16—862no—
1378Q16—862no—
1379Q16—862no—
1380Q16—862no—
1381Q16—862no—
1382Q16—862no—
1383SD16—22no—
1384SD16—22no—
1385SD16—862no—
1386SD16—862no—
1387SD16—862no—
1388SD16—862no—
1389D8—862no—
1390M16—434no—
1391M16—862no—
1392M16—862no—
1393M16—862no—
1394C2×C8—22no—
1395C2×C8—22no—
1396C2×C8—431no—
1397C2×C8—431no—
1398C2×C8—434no—
1399C2×C8—431no—
1400C2×C8—431no—
1401C2×C8—862no—
1402C2×C8—862no—
1403C2×C8—862no—
1404C2×C8—862no—
1405C2×C8—862no—
1406C2×C8C23×D4311yescharacteristic
1407C2×C8C23×D4311yescharacteristic
1408C2×C8C23×D4311yescharacteristic
1409C2×C8C23×D4311yescharacteristic
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—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
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⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C4⋊C4C23×D4311yescharacteristic
1471C4⋊C4C23×D4311yescharacteristic
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—431no—
1486C22⋊C4—431no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C42—21no—
1511C42—21no—
1512C42—21no—
1513C42—431no—
1514C42—431no—
1515C42—431no—
1516C42—431no—
1517C42—861no—
1518C42—861no—
1519C42—861no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42D4×D4311yescharacteristic
1529C42D4×D4311yescharacteristic
1530C42C23×D4311yescharacteristic
1531C42C23×D4311yescharacteristic
1532C23—21no—
1533C23—431no—
1534C23—431no—
1535C23—862no—
1536C23—862no—
1537C23—861no—
1538C23—1721no—
1539C23C2×D4×D4311yescharacteristic
1540Q8—21no—
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—21no—
1545Q8—21no—
1546Q8—81no—
1547Q8—861no—
1548Q8—861no—
1549Q8—861no—
1550Q8—861no—
1551Q8—861no—
1552Q8—861no—
1553Q8—3441no—
1554Q8—3441no—
1555Q8—3441no—
1556Q8—1722no—
1557Q8—1722no—
1558D4—21no—
1559D4—21no—
1560D4—42no—
1561D4—861no—
1562D4—861no—
1563D4—3441no—
1564D4—3441no—
1565D4—1722no—
1566D4—1722no—
1567D4—1722no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—41no—
1579C2×C4—81no—
1580C2×C4—431no—
1581C2×C4—432no—
1582C2×C4—432no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—431no—
1587C2×C4—431no—
1588C2×C4—862no—
1589C2×C4—862no—
1590C2×C4—862no—
1591C2×C4—862no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—3441no—
1602C2×C4—3441no—
1603C2×C4—3441no—
1604C2×C4—3441no—
1605C2×C4—3441no—
1606C2×C4—1722no—
1607C2×C4—1722no—
1608C2×C4—1722no—
1609C2×C4—1722no—
1610C2×C4—1721no—
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C2×D4×D4311yescharacteristic
1614C2×C4C2×D4×D4311yescharacteristic
1615C2×C4C2×D4×D4311yescharacteristic
1616C2×C4C24×D4311yescharacteristic
1617C8—21no—
1618C8—21no—
1619C8—432no—
1620C8—432no—
1621C8—861no—
1622C8—861no—
1623C8#41×D4312yes—
1624C8#41×D4312yes—
1625C22—21no—
1626C22—21no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—432no—
1631C22—861no—
1632C22—861no—
1633C22—861no—
1634C22—861no—
1635C22—861no—
1636C22—1724no—
1637C22—1721no—
1638C22—1721no—
1639C22—1721no—
1640C22#1458371512yes—
1641C22C22×D4×D4311yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—432no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—861no—
1659C4—861no—
1660C4—1721no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4—1721no—
1667C4C2×#41×D4311yescharacteristic
1668C4C2×#41×D4311yescharacteristic
1669C2—22no—
1670C2—81no—
1671C2—862no—
1672C2—3441no—
1673C2—1721no—
1674C2#532×D4311yescharacteristic
1675C2C2×#1458371511yescharacteristic
1676C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3181C2
socleC22×C43C23×D4
prime radical#19144171C2
hypercenter#3181D43
hypocenterC43#60708
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3181

Complements

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

NH ≅ G/Ntype
1. #19148342C2semidirect
2. #19148335C2semidirect
3. #19145304C2semidirect
4. #19145299C2semidirect
5. #19145297C2semidirect
6. #19145269C2semidirect
7. #19145268C2semidirect
8. #19145261C2semidirect
9. #19145260C2semidirect
10. #19145253C2semidirect
11. #19145252C2semidirect
12. #19145233C2semidirect
13. #19145232C2semidirect
14. #19145177C2semidirect
15. #19145176C2semidirect
16. #19145159C2semidirect
17. #19145158C2semidirect
18. #19145130C2semidirect
19. #19145087C2semidirect
20. #19144961C2semidirect
21. #19144957C2semidirect
22. #19144222C2semidirect
23. #19144218C2semidirect
25. #467×D43C2semidirect
26. #19143467C2semidirect
27. #19143460C2semidirect
28. #19143437C2semidirect
29. #19143435C2semidirect
30. C2×#14582856C2semidirect
31. C43×#3181C2semidirect
81. #14583308C22semidirect
82. #14583307C22semidirect
83. #14583306C22semidirect
84. #14583303C22semidirect
85. #14583302C22semidirect
86. #14583299C22semidirect
87. #14583298C22semidirect
88. #14583293C22semidirect
89. #14583292C22semidirect
90. #14583290C22semidirect
91. #14583281C22semidirect
92. #14583280C22semidirect
93. #14583278C22semidirect
94. #14583277C22semidirect
95. #14583268C22semidirect
96. #14583266C22semidirect
97. #14583266C22semidirect
98. #14583260C22semidirect
99. #14583259C22semidirect
100. #14583257C22semidirect
101. #14583256C22semidirect
102. #14583255C22semidirect
103. #14583253C22semidirect
104. #14583252C22semidirect
105. #14583251C22semidirect
106. #14583249C22semidirect
107. #14583248C22semidirect
108. #14583248C22semidirect
137. #14583007C22semidirect
138. #14583007C22semidirect
139. #14583006C22semidirect
140. #14583005C22semidirect
141. #14583003C22semidirect
142. #14583003C22semidirect
143. #14583002C22semidirect
144. #14583001C22semidirect
145. #14583001C22semidirect
146. #14583000C22semidirect
147. #14582998C22semidirect
148. #14582996C22semidirect
149. Q16×Dic43C22semidirect
150. #14582993C22semidirect
151. C4×#10621885C22semidirect
152. C4×#10621885C22semidirect
153. C4×#10621885C22semidirect
154. C4×#10621885C22semidirect
155. C4×#10621885C22semidirect
156. #14582991C22semidirect
157. #14582991C22semidirect
158. #14582991C22semidirect
159. SD16×Dic43C22semidirect
160. C4×#10621884C22semidirect
161. #14582986C22semidirect
162. C4×#10621883C22semidirect
163. C4×#10621882C22semidirect
164. #14582979C22semidirect
190. C43×#501C22semidirect
191. C43×#497C22semidirect
192. C43×#491C22semidirect
193. C43×#489C22semidirect
198. C43×#441C22semidirect
199. C43×#441C22semidirect
200. C43×#440C22semidirect
201. C43×#440C22semidirect
836. #3181D43semidirect
924. #501C2×D43semidirect
932. #497C2×D43semidirect
940. #491C2×D43semidirect
944. #489C2×D43semidirect
991. #441C2×D43semidirect
992. #441C2×D43semidirect
999. #440C2×D43semidirect
1000. #440C2×D43semidirect
1041. C43#60708semidirect

Maximal subgroups

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

subgroupindex
#191483422
#191483352
#191453042
#191452992
#191452972
#191452692
#191452682
#191452612
#191452602
#191452532
#191452522
#191452332
#191452322
#191451772
#191451762
#191451592
#191451582
#191451302
#191450872
#191449612
#191449572
#191442222
#191442182
#191441712
#467×D432
#191434672
#191434602
#191434372
#191434352
C2×#145828562
C43×#31812
#6070843