Finite Group Databasebeta

← #25966809

Subgroups — #25966809

Order 11008.

1980 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148325C211yesmaximal, characteristic, complemented
2#19148318C211yesmaximal, characteristic, complemented
3#19145293C211yesmaximal, characteristic, complemented
4#19145288C211yesmaximal, characteristic, complemented
5#19145286C211yesmaximal, characteristic, complemented
6#19145284C211yesmaximal, characteristic, complemented
7#19145283C211yesmaximal, characteristic, complemented
8#19145276C211yesmaximal, characteristic, complemented
9#19145275C211yesmaximal, characteristic, complemented
10#19145244C211yesmaximal, characteristic, complemented
11#19145243C211yesmaximal, characteristic, complemented
12#19145233C211yesmaximal, characteristic, complemented
13#19145232C211yesmaximal, characteristic, complemented
14#19145170C211yesmaximal, characteristic, complemented
15#19145169C211yesmaximal, characteristic, complemented
16#19145159C211yesmaximal, characteristic, complemented
17#19145158C211yesmaximal, characteristic, complemented
18#19145130C211yesmaximal, characteristic, complemented
19#19145079C211yesmaximal, characteristic, complemented
20#19144950C211yesmaximal, characteristic, complemented
21#19144946C211yesmaximal, characteristic, complemented
22#19144211C211yesmaximal, characteristic, complemented
23#19144207C211yesmaximal, characteristic, complemented
24#19144171C211yesmaximal, characteristic, complemented
25#466×D43C211yesmaximal, characteristic, complemented
26#19143467C211yesmaximal, characteristic, complemented
27#19143444C211yesmaximal, characteristic, complemented
28#19143426C211yesmaximal, characteristic, complemented
29#19143424C211yesmaximal, characteristic, complemented
30C2×#14582856C211yesmaximal, characteristic, complemented
31C43×#3180C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063346C2211yescharacteristic
35C2×D8×D43C2211yescharacteristic
36C22×#10621872C2211yescharacteristic
37C22×C8×D43C2211yescharacteristic
38#14583612—21no—
39#14583611—21no—
40#14583600—21no—
41#14583598—21no—
42#14583598—21no—
43#14583592—21no—
44#14583579—21no—
45#14583578—21no—
46#14583574—21no—
47#14583573—21no—
48#14583548—21no—
49#14583547—21no—
50#14583544—21no—
51#14583541—21no—
52#14583538—21no—
53#14583537—21no—
54#14583529C2211yescharacteristic
55#14583526C2211yescharacteristic
56#14583523C2211yescharacteristic, complemented
57#14583521C2211yescharacteristic, complemented
58#14583518C2211yescharacteristic, complemented
59#14583514C2211yescharacteristic, complemented
60#14583505C2211yescharacteristic, complemented
61#14583503C2211yescharacteristic, complemented
62#14583500C2211yescharacteristic, complemented
63#14583500C2211yescharacteristic, complemented
64#14583467C2211yescharacteristic
65#14583462C2211yescharacteristic
66#14583449C2211yescharacteristic, complemented
67#14583444C2211yescharacteristic, complemented
68#14583444C2211yescharacteristic, complemented
69#14583435C2211yescharacteristic, complemented
70#14583433C2211yescharacteristic, complemented
71#14583430C2211yescharacteristic, complemented
72#14583412C2211yescharacteristic
73#14583409C2211yescharacteristic
74#121×D43C2211yescharacteristic
75#121×D43C2211yescharacteristic
76#14583381C2211yescharacteristic
77#14583378C2211yescharacteristic
78#14583371C2211yescharacteristic
79#14583371C2211yescharacteristic
80C2×#13063282C2211yescharacteristic
81#14583308C2211yescharacteristic, complemented
82#14583307C2211yescharacteristic, complemented
83#14583306C2211yescharacteristic, complemented
84#14583303C2211yescharacteristic, complemented
85#14583302C2211yescharacteristic, complemented
86#14583299C2211yescharacteristic, complemented
87#14583298C2211yescharacteristic, complemented
88#14583288C2211yescharacteristic, complemented
89#14583287C2211yescharacteristic, complemented
90#14583285C2211yescharacteristic, complemented
91#14583281C2211yescharacteristic, complemented
92#14583280C2211yescharacteristic, complemented
93#14583275C2211yescharacteristic, complemented
94#14583274C2211yescharacteristic, complemented
95#14583264C2211yescharacteristic, complemented
96#14583262C2211yescharacteristic, complemented
97#14583262C2211yescharacteristic, complemented
98#14583260C2211yescharacteristic, complemented
99#14583259C2211yescharacteristic, complemented
100#14583257C2211yescharacteristic, complemented
101#14583256C2211yescharacteristic, complemented
102#14583255C2211yescharacteristic, complemented
103#14583253C2211yescharacteristic, complemented
104#14583252C2211yescharacteristic, complemented
105#14583247C2211yescharacteristic, complemented
106#14583245C2211yescharacteristic, complemented
107#14583244C2211yescharacteristic, complemented
108#14583244C2211yescharacteristic, complemented
109#14583153C2211yescharacteristic, complemented
110#14583151C2211yescharacteristic, complemented
111#14583151C2211yescharacteristic, complemented
112#14583149C2211yescharacteristic, complemented
113#14583148C2211yescharacteristic, complemented
114#14583146C2211yescharacteristic, complemented
115#14583144C2211yescharacteristic, complemented
116#14583142C2211yescharacteristic, complemented
117#14583139C2211yescharacteristic, complemented
118#14583138C2211yescharacteristic, complemented
119#14583136C2211yescharacteristic
120#14583135C2211yescharacteristic
121#14583135C2211yescharacteristic, complemented
122#14583134C2211yescharacteristic
123#14583134C2211yescharacteristic
124#14583134C2211yescharacteristic, complemented
125#14583133C2211yescharacteristic
126#14583133C2211yescharacteristic
127#14583133C2211yescharacteristic, complemented
128#14583133C2211yescharacteristic, complemented
129#14583133C2211yescharacteristic, complemented
130#14583132C2211yescharacteristic
131#14583130C2211yescharacteristic, complemented
132#14583129C2211yescharacteristic, complemented
133#14583128C2211yescharacteristic, complemented
134#14583128C2211yescharacteristic, complemented
135#14583126C2211yescharacteristic, complemented
136#14583125C2211yescharacteristic, complemented
137#14583012C2211yescharacteristic, complemented
138#14583012C2211yescharacteristic, complemented
139#14583011C2211yescharacteristic, complemented
140#14583010C2211yescharacteristic, complemented
141#14583008C2211yescharacteristic, complemented
142#14583008C2211yescharacteristic, complemented
143#14583002C2211yescharacteristic, complemented
144#14583001C2211yescharacteristic, complemented
145#14583001C2211yescharacteristic, complemented
146#14583000C2211yescharacteristic, complemented
147#14582998C2211yescharacteristic, complemented
148#14582996C2211yescharacteristic, complemented
149C4×#10621885C2211yescharacteristic, complemented
150#14582991C2211yescharacteristic, complemented
151SD16×Dic43C2211yescharacteristic, complemented
152C4×#10621884C2211yescharacteristic, complemented
153#14582986C2211yescharacteristic, complemented
154C4×#10621883C2211yescharacteristic, complemented
155D8×Dic43C2211yescharacteristic, complemented
156#14582981C2211yescharacteristic, complemented
157C4×#10621882C2211yescharacteristic, complemented
158C4×#10621882C2211yescharacteristic, complemented
159C4×#10621882C2211yescharacteristic, complemented
160C4×#10621882C2211yescharacteristic, complemented
161C4×#10621882C2211yescharacteristic, complemented
162#14582979C2211yescharacteristic, complemented
163#14582979C2211yescharacteristic, complemented
164#14582979C2211yescharacteristic, complemented
165#14582940C2211yescharacteristic
166#14582938C2211yescharacteristic
167#14582934C2211yescharacteristic
168#107×D43C2211yescharacteristic
169#14582902C2211yescharacteristic
170#14582902C2211yescharacteristic
171#14582899C2211yescharacteristic
172#14582897C2211yescharacteristic
173#14582894C2211yescharacteristic
174#14582892C2211yescharacteristic
175#102×D43C2211yescharacteristic
176#102×D43C2211yescharacteristic
177#14582856C2211yescharacteristic
178#14582856C2211yescharacteristic
179#14582856C2211yescharacteristic
180#14582856C2211yescharacteristic
181#14582856C2211yescharacteristic, complemented
182#14582856C2211yescharacteristic, complemented
183#14582856C2211yescharacteristic, complemented
184#14582856C2211yescharacteristic, complemented
185C2×#13063235C2211yescharacteristic, complemented
186C2×C4×C43⋊C8C2211yescharacteristic, complemented
187C2×C8×Dic43C2211yescharacteristic, complemented
188C43×#532C2211yescharacteristic, complemented
189C43×#529C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic, complemented
192C43×#490C2211yescharacteristic, complemented
193C43×#489C2211yescharacteristic, complemented
194C43×#466C2211yescharacteristic
195C43×#466C2211yescharacteristic, complemented
196C43×#465C2211yescharacteristic, complemented
197C43×#465C2211yescharacteristic, complemented
198C43×#442C2211yescharacteristic, complemented
199C43×#442C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic, complemented
202C2×#97×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621900—21no—
206C2×#10621900—21no—
207C2×#10621900C2311yescharacteristic
208C2×D4×D43—21no—
209C2×D4×D43—21no—
210C2×D4×D43C2311yescharacteristic
211C2×D4×D43C2311yescharacteristic
212C22×C4×D43C2311yescharacteristic
213#13063352—24no—
214#13063349—24no—
215#13063346—24no—
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×D344C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228D8×D43—24no—
229C2×#10621872—24no—
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C2×#10621872C2311yescharacteristic
234C22×C43⋊C8C2311yescharacteristic
235C22×C43⋊C8C2311yescharacteristic
236C2×C8×D43—24no—
237C2×C8×D43C2311yescharacteristic
238C2×C8×D43C2311yescharacteristic
239C2×C8×D43C2311yescharacteristic
240C2×C8×D43C2311yescharacteristic
241#13063325C2311yescharacteristic
242#13063324—21no—
243#13063324C2311yescharacteristic
244#13063324C2311yescharacteristic
245#13063323—21no—
246#13063322C2311yescharacteristic
247#13063321C2311yescharacteristic
248#13063321C2311yescharacteristic
249#13063320—21no—
250#13063320—21no—
251#13063319—21no—
252#13063319—21no—
253#13063318—21no—
254#13063318—21no—
255#13063318—21no—
256#13063317C2311yescharacteristic
257#13063316C2311yescharacteristic
258#13063316C2311yescharacteristic
259#13063315—21no—
260#13063315—21no—
261#13063314—21no—
262#13063314C2311yescharacteristic
263#13063313—21no—
264#13063313—21no—
265#13063313C2311yescharacteristic
266#13063312C2311yescharacteristic
267#13063311—21no—
268#13063311—21no—
269#13063311—21no—
270#13063311—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063309—21no—
277#13063309—21no—
278#13063308—21no—
279#13063308—21no—
280#13063308—21no—
281#13063308—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063306—21no—
286#13063306—21no—
287#13063306—21no—
288#13063305—21no—
289#13063305C2311yescharacteristic
290#13063304—21no—
291#13063304C2311yescharacteristic
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063302—21no—
296#13063301—21no—
297#13063301—21no—
298#13063301C2311yescharacteristic
299#13063300—21no—
300#13063300—21no—
301#13063300C2311yescharacteristic
302#13063300C2311yescharacteristic
303#13063300C2311yescharacteristic
304#13063299—21no—
305#13063299—21no—
306#13063299—21no—
307#13063299C2311yescharacteristic
308#13063299C2311yescharacteristic
309#13063299C2311yescharacteristic
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297—21no—
319#13063297—21no—
320#13063297—21no—
321#13063297—21no—
322#13063297—21no—
323#13063297—21no—
324#13063296C2311yescharacteristic
325#13063296C2311yescharacteristic
326#13063296C2311yescharacteristic
327#13063295—21no—
328#13063295—21no—
329#13063295—21no—
330#13063293—21no—
331#13063293—21no—
332#13063293—21no—
333Q8×Dic43C2311yescharacteristic
334C4×Dic86C2311yescharacteristic
335#13063290C2311yescharacteristic
336C4×D172—21no—
337C4×D172—21no—
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341D4×Dic43—21no—
342D4×Dic43—21no—
343D4×Dic43C2311yescharacteristic
344D4×Dic43C2311yescharacteristic
345D4×Dic43C2311yescharacteristic
346#13063287—21no—
347#13063287—21no—
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363#13063283—21no—
364#13063283C2311yescharacteristic
365#13063283C2311yescharacteristic
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—
378C2×Dic43⋊C4—21no—
379C2×Dic43⋊C4D411yescharacteristic
380C2×Dic43⋊C4D411yescharacteristic
381C4⋊C4×D43—21no—
382C4⋊C4×D43C2311yescharacteristic
383C4⋊C4×D43C2311yescharacteristic
384C2×(C2×D43)⋊C4—21no—
385C2×(C2×D43)⋊C4—21no—
386C2×(C2×D43)⋊C4D411yescharacteristic
387C2×(C2×D43)⋊C4D411yescharacteristic
388C22⋊C4×D43—21no—
389C22⋊C4×D43—21no—
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#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
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×#41×C43—21no—
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C2×D8×C43C2311yescharacteristic
446C22×C8×C43C2311yescharacteristic
447C22×C8×C43C2311yescharacteristic
448C4⋊Q8×C43C2311yescharacteristic
449#127×C43C2311yescharacteristic
450#126×C43—21no—
451#125×C43C2311yescharacteristic
452#124×C43—21no—
453#124×C43C2311yescharacteristic
454#123×C43—21no—
455C22⋊Q8×C43C2311yescharacteristic
456#121×C43—21no—
457#121×C43C2311yescharacteristic
458#121×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×D4×C43—21no—
462C4×D4×C43—21no—
463C4×D4×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
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#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481#97×C43C2311yescharacteristic
482#97×C43C2311yescharacteristic
483#97×C43C2311yescharacteristic
484C23×D43—21no—
485C23×D43—21no—
486C23×D43C2×D411yescharacteristic
487#41×C43—82no—
488C2×Q8×C43—21no—
489C2×Q8×C43C2411yescharacteristic
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43C2411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C2×D4×C43C2411yescharacteristic
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43C2×D411yescharacteristic
502C22×C4×C43C2×D411yescharacteristic
503C22×C4×C43C2411yescharacteristic
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43C2×D411yescharacteristic
522C22×Dic43C2×D411yescharacteristic
523C22×Dic43C2×D411yescharacteristic
524#10621902—22no—
525#10621902—22no—
526#10621900—22no—
527#10621900—22no—
528#10621900—82no—
529#10621900—82no—
530D4×D43—22no—
531D4×D43—22no—
532D4×D43—22no—
533D4×D43—22no—
534D4×D43—82no—
535D4×D43—82no—
536#10621898—82no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—21no—
540C2×D172—21no—
541C2×D172—21no—
542C2×D172—21no—
543C2×D172C2411yescharacteristic
544C2×D172C2411yescharacteristic
545C2×D172C2411yescharacteristic
546C2×C4×D43—22no—
547C2×C4×D43—22no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43C2×D411yescharacteristic
558C2×C4×D43C2×D411yescharacteristic
559C2×C4×D43C2411yescharacteristic
560C2×C4×D43C2411yescharacteristic
561C2×Dic86—21no—
562C2×Dic86—21no—
563C2×Dic86—21no—
564C2×Dic86C2411yescharacteristic
565SD16×C43—22no—
566SD16×C43—22no—
567D8×C43—22no—
568D8×C43—22no—
569C2×C8×C43—22no—
570C2×C8×C43—22no—
571C2×C8×C43C2411yescharacteristic
572C2×C8×C43C2411yescharacteristic
573C2×C8×C43C2411yescharacteristic
574C2×C8×C43C2411yescharacteristic
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43—21no—
579C4⋊C4×C43—21no—
580C4⋊C4×C43C2411yescharacteristic
581C4⋊C4×C43C2411yescharacteristic
582C4⋊C4×C43C2411yescharacteristic
583C4⋊C4×C43C2411yescharacteristic
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C42×C43—21no—
594C42×C43C2×D411yescharacteristic
595C42×C43C2×D411yescharacteristic
596C42×C43C2411yescharacteristic
597C42×C43C2411yescharacteristic
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607#10621885—22no—
608#10621884—22no—
609#10621883—22no—
610#10621882—22no—
611#10621882—22no—
612#10621882—22no—
613#10621882—22no—
614#10621882—22no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4C2×D411yescharacteristic
636(C2×D43)⋊C4C2×D411yescharacteristic
637(C2×D43)⋊C4C2×D411yescharacteristic
638(C2×D43)⋊C4C2×D411yescharacteristic
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641(C2×D43)⋊C4C2×D411yescharacteristic
642(C2×D43)⋊C4C2×D411yescharacteristic
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43C2411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
671Dic43⋊C4C2×D411yescharacteristic
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43C2×D411yescharacteristic
678C4×Dic43C2×D411yescharacteristic
679C4×Dic43C2411yescharacteristic
680C4×Dic43C2411yescharacteristic
681C2×C43⋊C8—22no—
682C2×C43⋊C8—22no—
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687D344—22no—
688D344—22no—
689#10621873—22no—
690#10621873—22no—
691#10621872—22no—
692#10621872—22no—
693#10621872—22no—
694#10621872#4114yescomplemented
695C8×D43—22no—
696C8×D43—22no—
697C8×D43—22no—
698C8×D43#4114yescomplemented
699C23×C43—21no—
700C23×C43—21no—
701C23×C43—21no—
702C23×C43C22×D411yescharacteristic
703C22×D43—22no—
704C22×D43—22no—
705C22×D43—21no—
706C22×D43—21no—
707C22×D43—21no—
708C22×D43—41no—
709C22×D43—42no—
710C22×D43—42no—
711C22×D43—81no—
712C22×D43—81no—
713C22×D43—81no—
714C22×D43—81no—
715C22×D43C22×D411yescharacteristic
716C22×D43C22×D411yescharacteristic
717Q8×C43—21no—
718Q8×C43—21no—
719Q8×C43—81no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—21no—
723D4×C43—21no—
724D4×C43—21no—
725D4×C43—21no—
726D4×C43—42no—
727D4×C43—42no—
728D4×C43—42no—
729D4×C43—81no—
730D4×C43—81no—
731C2×C4×C43—22no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—41no—
740C2×C4×C43—81no—
741C2×C4×C43—81no—
742C2×C4×C43—81no—
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C22×D411yescharacteristic
747C2×C4×C43C22×D411yescharacteristic
748C2×C4×C43C2511yescharacteristic
749C22⋊D43—42no—
750C22⋊D43—42no—
751C22⋊D43—42no—
752C22⋊D43—42no—
753C22⋊D43—42no—
754C22⋊D43—42no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C22⋊D43—81no—
762C2×Dic43—22no—
763C2×Dic43—22no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—41no—
770C2×Dic43—42no—
771C2×Dic43—81no—
772C2×Dic43—81no—
773C2×Dic43—81no—
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776C2×Dic43C22×D411yescharacteristic
777C2×Dic43C22×D411yescharacteristic
778C2×Dic43C22×D411yescharacteristic
779C2×Dic43C22×D411yescharacteristic
780D172—21no—
781D172—21no—
782D172—21no—
783D172—21no—
784D172—21no—
785D172—21no—
786D172—42no—
787D172—81no—
788D172—81no—
789D172—81no—
790D172—81no—
791D172—81no—
792C4×D43—22no—
793C4×D43—21no—
794C4×D43—21no—
795C4×D43—22no—
796C4×D43—42no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802C4×D43—81no—
803C4×D43—81no—
804C4×D43—81no—
805C4×D43C2×#4112yes—
806C4×D43C2×#4112yes—
807Dic86—21no—
808Dic86—21no—
809Dic86—81no—
810Dic86—81no—
811Dic86—81no—
812C8×C43—21no—
813C8×C43—21no—
814C8×C43C2×#4112yes—
815C8×C43C2×#4112yes—
816C43⋊C8—21no—
817C43⋊C8—21no—
818C43⋊C8C2×#4112yes—
819C43⋊C8C2×#4112yes—
820#60707—431nomaximal, Sylow
821C22×C43—21no—
822C22×C43—21no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43#57612yes—
833C22×C43C23×D411yescharacteristic
834C2×D43—21no—
835C2×D43—21no—
836C2×D43—21no—
837C2×D43—21no—
838C2×D43—21no—
839C2×D43—44no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—41no—
849C2×D43—162no—
850C2×D43—162no—
851C2×D43#53212yes—
852C4×C43—21no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—21no—
857C4×C43—41no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43—41no—
861C4×C43—41no—
862C4×C43C22×#4111yescharacteristic
863C4×C43C22×#4111yescharacteristic
864Dic43—21no—
865Dic43—21no—
866Dic43—21no—
867Dic43—21no—
868Dic43—21no—
869Dic43—41no—
870Dic43—41no—
871Dic43—41no—
872Dic43—41no—
873Dic43—41no—
874Dic43#53212yes—
875#3494—431no—
876#3494—431no—
877#3180—431no—
878#3180—431no—
879#3180—431no—
880#3180D4311yescharacteristic, complemented
881#3179—431no—
882#3179—431no—
883#3179—431no—
884#3179—431no—
885#3176—431no—
886#3176—431no—
887#3175—431no—
888#3175—431no—
889#3169—431no—
890#3169—431no—
891#3168—431no—
892#3168—431no—
893#3164—431no—
894#3155—431no—
895#3136—431no—
896#3136—431no—
897#3055—431no—
898#3055—431no—
899#3050—431no—
900C2×#466—431no—
901#2951—431no—
902#2948—431no—
903#2946—431no—
904#2946—431no—
905C2×#405—431no—
906C2×C43—22no—
907C2×C43—81no—
908C2×C43—81no—
909C2×C43—81no—
910C2×C43C2×#53211yescharacteristic
911C2×C43C2×#57611yescharacteristic
912C2×C43#358411yescharacteristic
913D43—22no—
914D43—41no—
915D43—81no—
916D43—81no—
917D43—81no—
918C2×AGL(1,ℤ/8)—431no—
919C2×AGL(1,ℤ/8)—431no—
920C2×#135—431no—
921C22×D8—431no—
922C22×M16—431no—
923C23×C8—431no—
924#555—861no—
925#555—861no—
926#553—861no—
927#553—861no—
928#553—861no—
929#553—861no—
930#551—861no—
931#551—861no—
932#551—861no—
933#551—861no—
934#547—861no—
935#547—861no—
936#546—861no—
937#546—861no—
938#546—861no—
939#546—861no—
940#544—431no—
941#544—431no—
942#542—431no—
943#542—431no—
944#542—431no—
945#542—431no—
946#540—431no—
947#540—431no—
948#540—431no—
949#540—431no—
950#535—431no—
951#535—431no—
952#532—431no—
953#532—431no—
954#532—431no—
955#532C2×D4311yescharacteristic, complemented
956#529—431no—
957#529—431no—
958#529—431no—
959#529C2×D4311yescharacteristic, complemented
960#525—431no—
961#525—431no—
962C2×#121—431no—
963C2×#121—431no—
964#520—431no—
965#520—431no—
966#518—431no—
967#518—431no—
968C2×#117—431no—
969#501—431no—
970#501—431no—
971#501—431no—
972#501C2×D4311yescharacteristic, complemented
973#500—431no—
974#500—431no—
975#499—431no—
976#499—431no—
977#496—431no—
978#496—431no—
979#496—431no—
980#496C2×D4311yescharacteristic, complemented
981#495—431no—
982#495—431no—
983#493—431no—
984#493—431no—
985#490—431no—
986#490—431no—
987#490—431no—
988#490C2×D4311yescharacteristic, complemented
989#489—431no—
990#489—431no—
991#489—431no—
992#489C2×D4311yescharacteristic, complemented
993#488—431no—
994#488—431no—
995#488—431no—
996#488—431no—
997#486—431no—
998#486—431no—
999#486—431no—
1000#486—431no—
1001#469—431no—
1002#469—431no—
1003#469—431no—
1004#469—431no—
1005#468—431no—
1006#468—431no—
1007#468—431no—
1008#468—431no—
1009#467—431no—
1010#467—431no—
1011#466—431no—
1012#466—431no—
1013#466—431no—
1014#466—431no—
1015#466—431no—
1016#466—431no—
1017#466—431no—
1018#466—431no—
1019#466—431no—
1020#466—431no—
1021#466—431no—
1022#466—431no—
1023#466C2×D4311yescharacteristic
1024#466C2×D4311yescharacteristic, complemented
1025#465—431no—
1026#465—431no—
1027#465—431no—
1028#465—431no—
1029#465—431no—
1030#465—431no—
1031#465C2×D4311yescharacteristic, complemented
1032#465C2×D4311yescharacteristic, complemented
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442C2×D4311yescharacteristic, complemented
1040#442C2×D4311yescharacteristic, complemented
1041#440—431no—
1042#440—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440C2×D4311yescharacteristic, complemented
1048#440C2×D4311yescharacteristic, complemented
1049C4×Q16—431no—
1050C4×Q16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061C4×D8—431no—
1062C4×D8—431no—
1063C4×D8—431no—
1064C4×D8—431no—
1065#428—431no—
1066#428—431no—
1067#427—431no—
1068C2×#107—431no—
1069#418—431no—
1070#418—431no—
1071#417—431no—
1072#417—431no—
1073#416—431no—
1074#416—431no—
1075C2×#102—431no—
1076C2×#102—431no—
1077#405—431no—
1078#405—431no—
1079#405—431no—
1080#405—431no—
1081#405—431no—
1082#405—431no—
1083#405—431no—
1084#405—431no—
1085C2×#97—431no—
1086C2×#97C2×D4311yescharacteristic, complemented
1087C2×C4×C8—431no—
1088C2×C4×C8—431no—
1089C43#6070711yescharacteristic, complemented, Sylow
1090C2×#41—21no—
1091C2×#41—431no—
1092C2×#41—431no—
1093C2×#41—861no—
1094C2×#41—861no—
1095C2×#41—861no—
1096C22×D4—431no—
1097C22×D4—431no—
1098C22×D4—861no—
1099C22×D4—861no—
1100C23×C4—431no—
1101AGL(1,ℤ/8)—864no—
1102AGL(1,ℤ/8)—864no—
1103#135—864no—
1104C2×Q16—431no—
1105C2×SD16—431no—
1106C2×SD16—431no—
1107C2×SD16—431no—
1108C2×SD16—431no—
1109C2×SD16C22×D4311yescharacteristic
1110C2×SD16C22×D4311yescharacteristic
1111C2×D8—431no—
1112C2×D8—431no—
1113C2×D8—431no—
1114C2×D8—431no—
1115C2×D8—431no—
1116C2×D8—431no—
1117C2×D8—431no—
1118C2×D8—864no—
1119C2×D8C22×D4311yescharacteristic
1120C2×D8C22×D4311yescharacteristic
1121C2×M16—431no—
1122C2×M16—431no—
1123C2×M16—431no—
1124C2×M16—431no—
1125C2×M16—864no—
1126C22×C8—431no—
1127C22×C8—431no—
1128C22×C8—431no—
1129C22×C8—431no—
1130C22×C8—431no—
1131C22×C8—431no—
1132C22×C8—864no—
1133C22×C8C22×D4311yescharacteristic
1134C22×C8C22×D4311yescharacteristic
1135C4⋊Q8—431no—
1136C4⋊Q8—431no—
1137C4⋊Q8—431no—
1138C4⋊Q8—861no—
1139C4⋊Q8—861no—
1140C4⋊Q8C22×D4311yescharacteristic
1141#127—431no—
1142#127—431no—
1143#127—431no—
1144#127C22×D4311yescharacteristic
1145#126—21no—
1146#126—861no—
1147#126—861no—
1148#126—861no—
1149#126—861no—
1150#126—861no—
1151#126—861no—
1152#126—861no—
1153#125—431no—
1154#125—431no—
1155#125—431no—
1156#125—861no—
1157#125—861no—
1158#125C22×D4311yescharacteristic
1159#124—21no—
1160#124—431no—
1161#124—431no—
1162#124—431no—
1163#124—861no—
1164#124—861no—
1165#124—861no—
1166#124—861no—
1167#124—861no—
1168#124—861no—
1169#124—861no—
1170#124C22×D4311yescharacteristic
1171#123—21no—
1172#123—861no—
1173#123—861no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177#123—861no—
1178#123—861no—
1179#123—861no—
1180#123—861no—
1181#123—861no—
1182#123—861no—
1183#123—861no—
1184#123—861no—
1185#123—861no—
1186#123—861no—
1187#123—861no—
1188#123—861no—
1189C22⋊Q8—431no—
1190C22⋊Q8—431no—
1191C22⋊Q8—431no—
1192C22⋊Q8—861no—
1193C22⋊Q8—861no—
1194C22⋊Q8—861no—
1195C22⋊Q8—861no—
1196C22⋊Q8—861no—
1197C22⋊Q8—861no—
1198C22⋊Q8—861no—
1199C22⋊Q8—861no—
1200C22⋊Q8C22×D4311yescharacteristic
1201#121—21no—
1202#121—431no—
1203#121—431no—
1204#121—431no—
1205#121—431no—
1206#121—431no—
1207#121—431no—
1208#121—431no—
1209#121—431no—
1210#121—431no—
1211#121—861no—
1212#121—861no—
1213#121—861no—
1214#121—861no—
1215#121—861no—
1216#121—861no—
1217#121—861no—
1218#121—861no—
1219#121—861no—
1220#121—861no—
1221#121—861no—
1222#121—861no—
1223#121—861no—
1224#121—861no—
1225#121—861no—
1226#121—861no—
1227#121—861no—
1228#121—861no—
1229#121—861no—
1230#121C22×D4311yescharacteristic
1231#121C22×D4311yescharacteristic
1232#121C22×D4311yescharacteristic
1233#120—861no—
1234#120—861no—
1235#120—861no—
1236#120—861no—
1237#120—861no—
1238#120—861no—
1239C4×Q8—431no—
1240C4×Q8—431no—
1241C4×Q8—431no—
1242C4×Q8C22×D4311yescharacteristic
1243C4×D4—21no—
1244C4×D4—21no—
1245C4×D4—431no—
1246C4×D4—431no—
1247C4×D4—431no—
1248C4×D4—431no—
1249C4×D4—431no—
1250C4×D4—431no—
1251C4×D4—431no—
1252C4×D4—431no—
1253C4×D4—431no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4—861no—
1263C4×D4—861no—
1264C4×D4—861no—
1265C4×D4—861no—
1266C4×D4—861no—
1267C4×D4—861no—
1268C4×D4—861no—
1269C4×D4—861no—
1270C4×D4—861no—
1271C4×D4—861no—
1272C4×D4C22×D4311yescharacteristic
1273C4×D4C22×D4311yescharacteristic
1274C4×D4C22×D4311yescharacteristic
1275#117—21no—
1276#117—431no—
1277#117—431no—
1278#117—431no—
1279#117—431no—
1280#117—431no—
1281#117—431no—
1282#117—431no—
1283#117—431no—
1284#117—431no—
1285#117—431no—
1286#117—861no—
1287#117—861no—
1288#117—861no—
1289#117—861no—
1290#117—861no—
1291C2×C4⋊C4—431no—
1292C2×C4⋊C4—431no—
1293C2×C4⋊C4—431no—
1294C2×C4⋊C4—431no—
1295C2×C4⋊C4—861no—
1296C2×C4⋊C4—861no—
1297C2×C22⋊C4—431no—
1298C2×C22⋊C4—431no—
1299C2×C22⋊C4—861no—
1300C2×C22⋊C4—861no—
1301C2×C22⋊C4—861no—
1302C2×C22⋊C4—861no—
1303C2×C22⋊C4—861no—
1304C2×C22⋊C4—861no—
1305C2×C42—431no—
1306C2×C42C22×D4311yescharacteristic
1307#107—431no—
1308#107—431no—
1309#107—431no—
1310#107—431no—
1311#107—431no—
1312#107—431no—
1313#107—431no—
1314#107—431no—
1315#107C22×D4311yescharacteristic
1316#107C22×D4311yescharacteristic
1317#106—431no—
1318#106—431no—
1319#106—431no—
1320#106—431no—
1321#106C22×D4311yescharacteristic
1322#106C22×D4311yescharacteristic
1323#103—431no—
1324#103—431no—
1325#103—431no—
1326#103—431no—
1327#103—431no—
1328#103—431no—
1329#103C22×D4311yescharacteristic
1330#103C22×D4311yescharacteristic
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102—431no—
1342#102—431no—
1343#102—431no—
1344#102—431no—
1345#102—431no—
1346#102—431no—
1347#102—431no—
1348#102—431no—
1349#102C22×D4311yescharacteristic
1350#102C22×D4311yescharacteristic
1351#102C22×D4311yescharacteristic
1352#102C22×D4311yescharacteristic
1353#102C22×D4311yescharacteristic
1354#102C22×D4311yescharacteristic
1355#97—431no—
1356#97—431no—
1357#97—431no—
1358#97—431no—
1359#97C22×D4311yescharacteristic
1360#97C22×D4311yescharacteristic
1361#97C22×D4311yescharacteristic
1362#97C22×D4311yescharacteristic
1363C4×C8—431no—
1364C4×C8—431no—
1365C4×C8—431no—
1366C4×C8—431no—
1367C4×C8—431no—
1368C4×C8—431no—
1369C4×C8—431no—
1370C4×C8—431no—
1371C24—431no—
1372C24—861no—
1373C24—861no—
1374#41—82no—
1375#41—862no—
1376#41—862no—
1377#41—862no—
1378#41—862no—
1379#41—3442no—
1380#41—3442no—
1381#41—3442no—
1382C2×Q8—21no—
1383C2×Q8—431no—
1384C2×Q8—861no—
1385C2×Q8—861no—
1386C2×Q8—861no—
1387C2×Q8C23×D4311yescharacteristic
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—431no—
1394C2×D4—431no—
1395C2×D4—431no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—862no—
1401C2×D4—862no—
1402C2×D4—862no—
1403C2×D4—862no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—861no—
1411C2×D4—861no—
1412C2×D4—861no—
1413C2×D4—861no—
1414C2×D4—861no—
1415C2×D4—861no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—3442no—
1420C2×D4—3442no—
1421C2×D4C23×D4311yescharacteristic
1422C2×D4C23×D4311yescharacteristic
1423C2×D4C23×D4311yescharacteristic
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—431no—
1428C22×C4—431no—
1429C22×C4—431no—
1430C22×C4—431no—
1431C22×C4—431no—
1432C22×C4—431no—
1433C22×C4—431no—
1434C22×C4—862no—
1435C22×C4—862no—
1436C22×C4—861no—
1437C22×C4—861no—
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×C4D4×D4311yescharacteristic
1450C22×C4D4×D4311yescharacteristic
1451C22×C4C23×D4311yescharacteristic
1452Q16—862no—
1453SD16—22no—
1454SD16—22no—
1455SD16—862no—
1456SD16—862no—
1457SD16—862no—
1458SD16—862no—
1459D8—22no—
1460D8—22no—
1461D8—862no—
1462D8—862no—
1463D8—862no—
1464D8—862no—
1465D8—862no—
1466D8—862no—
1467D8—862no—
1468M16—434no—
1469M16—862no—
1470M16—862no—
1471M16—862no—
1472C2×C8—22no—
1473C2×C8—22no—
1474C2×C8—431no—
1475C2×C8—431no—
1476C2×C8—434no—
1477C2×C8—431no—
1478C2×C8—431no—
1479C2×C8—862no—
1480C2×C8—862no—
1481C2×C8—862no—
1482C2×C8—862no—
1483C2×C8—862no—
1484C2×C8C23×D4311yescharacteristic
1485C2×C8C23×D4311yescharacteristic
1486C2×C8C23×D4311yescharacteristic
1487C2×C8C23×D4311yescharacteristic
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—431no—
1494C4⋊C4—431no—
1495C4⋊C4—431no—
1496C4⋊C4—431no—
1497C4⋊C4—431no—
1498C4⋊C4—431no—
1499C4⋊C4—431no—
1500C4⋊C4—431no—
1501C4⋊C4—431no—
1502C4⋊C4—431no—
1503C4⋊C4—431no—
1504C4⋊C4—431no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4—861no—
1511C4⋊C4—861no—
1512C4⋊C4—861no—
1513C4⋊C4—861no—
1514C4⋊C4—861no—
1515C4⋊C4—861no—
1516C4⋊C4—861no—
1517C4⋊C4—861no—
1518C4⋊C4—861no—
1519C4⋊C4—861no—
1520C4⋊C4—861no—
1521C4⋊C4—861no—
1522C4⋊C4C23×D4311yescharacteristic
1523C4⋊C4C23×D4311yescharacteristic
1524C4⋊C4C23×D4311yescharacteristic
1525C4⋊C4C23×D4311yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—431no—
1536C22⋊C4—431no—
1537C22⋊C4—431no—
1538C22⋊C4—431no—
1539C22⋊C4—431no—
1540C22⋊C4—431no—
1541C22⋊C4—431no—
1542C22⋊C4—431no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4—861no—
1567C22⋊C4—861no—
1568C22⋊C4—861no—
1569C22⋊C4—861no—
1570C22⋊C4—861no—
1571C22⋊C4—861no—
1572C42—21no—
1573C42—431no—
1574C42—431no—
1575C42—431no—
1576C42—431no—
1577C42—861no—
1578C42—861no—
1579C42—861no—
1580C42—861no—
1581C42—861no—
1582C42D4×D4311yescharacteristic
1583C42D4×D4311yescharacteristic
1584C42C23×D4311yescharacteristic
1585C42C23×D4311yescharacteristic
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—431no—
1590C23—431no—
1591C23—862no—
1592C23—862no—
1593C23—861no—
1594C23—861no—
1595C23—861no—
1596C23—3441no—
1597C23—3441no—
1598C23—3441no—
1599C23—3441no—
1600C23—1721no—
1601C23—1722no—
1602C23—1722no—
1603C23C2×D4×D4311yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—81no—
1607Q8—861no—
1608Q8—861no—
1609Q8—3441no—
1610Q8—3441no—
1611Q8—3441no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—42no—
1619D4—42no—
1620D4—42no—
1621D4—81no—
1622D4—81no—
1623D4—861no—
1624D4—861no—
1625D4—861no—
1626D4—861no—
1627D4—861no—
1628D4—861no—
1629D4—3441no—
1630D4—3441no—
1631D4—3441no—
1632D4—3441no—
1633D4—3441no—
1634D4—3441no—
1635D4—3441no—
1636D4—3441no—
1637D4—3441no—
1638D4—3441no—
1639D4—3441no—
1640D4—3441no—
1641D4—1722no—
1642D4—1722no—
1643D4—1722no—
1644D4—1722no—
1645D4—1722no—
1646D4—1722no—
1647D4—1722no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—41no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—431no—
1661C2×C4—432no—
1662C2×C4—432no—
1663C2×C4—431no—
1664C2×C4—431no—
1665C2×C4—431no—
1666C2×C4—431no—
1667C2×C4—431no—
1668C2×C4—862no—
1669C2×C4—862no—
1670C2×C4—862no—
1671C2×C4—862no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
1677C2×C4—861no—
1678C2×C4—861no—
1679C2×C4—3441no—
1680C2×C4—3441no—
1681C2×C4—3441no—
1682C2×C4—3441no—
1683C2×C4—3441no—
1684C2×C4—3441no—
1685C2×C4—3441no—
1686C2×C4—3441no—
1687C2×C4—3441no—
1688C2×C4—3441no—
1689C2×C4—3441no—
1690C2×C4—1722no—
1691C2×C4—1722no—
1692C2×C4—1721no—
1693C2×C4C2×D4×D4311yescharacteristic
1694C2×C4C2×D4×D4311yescharacteristic
1695C2×C4C2×D4×D4311yescharacteristic
1696C2×C4C2×D4×D4311yescharacteristic
1697C2×C4C2×D4×D4311yescharacteristic
1698C2×C4C24×D4311yescharacteristic
1699C8—21no—
1700C8—21no—
1701C8—432no—
1702C8—432no—
1703C8—861no—
1704C8—861no—
1705C8#41×D4312yes—
1706C8#41×D4312yes—
1707C22—21no—
1708C22—21no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—432no—
1719C22—861no—
1720C22—861no—
1721C22—861no—
1722C22—861no—
1723C22—861no—
1724C22—1724no—
1725C22—1721no—
1726C22—1721no—
1727C22—1721no—
1728C22—1721no—
1729C22—1721no—
1730C22—1721no—
1731C22—1721no—
1732C22—1721no—
1733C22—1721no—
1734C22—6882no—
1735C22—6882no—
1736C22#1458370312yes—
1737C22C22×D4×D4311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—432no—
1749C4—861no—
1750C4—861no—
1751C4—861no—
1752C4—861no—
1753C4—861no—
1754C4—1721no—
1755C4—1721no—
1756C4—1721no—
1757C4—1721no—
1758C4—1721no—
1759C4C2×#41×D4311yescharacteristic
1760C4C2×#41×D4311yescharacteristic
1761C2—22no—
1762C2—81no—
1763C2—81no—
1764C2—81no—
1765C2—862no—
1766C2—3441no—
1767C2—3441no—
1768C2—3441no—
1769C2—1721no—
1770C2#532×D4311yescharacteristic
1771C2C2×#1458370311yescharacteristic
1772C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3180C2
socleC22×C43C23×D4
hypercenter#3180D43
hypocenterC43#60707
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3180

Complements

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

NH ≅ G/Ntype
1. #19148325C2semidirect
2. #19148318C2semidirect
3. #19145293C2semidirect
4. #19145288C2semidirect
5. #19145286C2semidirect
6. #19145284C2semidirect
7. #19145283C2semidirect
8. #19145276C2semidirect
9. #19145275C2semidirect
10. #19145244C2semidirect
11. #19145243C2semidirect
12. #19145233C2semidirect
13. #19145232C2semidirect
14. #19145170C2semidirect
15. #19145169C2semidirect
16. #19145159C2semidirect
17. #19145158C2semidirect
18. #19145130C2semidirect
19. #19145079C2semidirect
20. #19144950C2semidirect
21. #19144946C2semidirect
22. #19144211C2semidirect
23. #19144207C2semidirect
24. #19144171C2semidirect
25. #466×D43C2semidirect
26. #19143467C2semidirect
27. #19143444C2semidirect
28. #19143426C2semidirect
29. #19143424C2semidirect
30. C2×#14582856C2semidirect
31. C43×#3180C2semidirect
56. #14583523C22semidirect
57. #14583521C22semidirect
58. #14583518C22semidirect
59. #14583514C22semidirect
60. #14583505C22semidirect
61. #14583503C22semidirect
62. #14583500C22semidirect
63. #14583500C22semidirect
66. #14583449C22semidirect
67. #14583444C22semidirect
68. #14583444C22semidirect
69. #14583435C22semidirect
70. #14583433C22semidirect
71. #14583430C22semidirect
81. #14583308C22semidirect
82. #14583307C22semidirect
83. #14583306C22semidirect
84. #14583303C22semidirect
85. #14583302C22semidirect
86. #14583299C22semidirect
87. #14583298C22semidirect
88. #14583288C22semidirect
89. #14583287C22semidirect
90. #14583285C22semidirect
91. #14583281C22semidirect
92. #14583280C22semidirect
93. #14583275C22semidirect
94. #14583274C22semidirect
95. #14583264C22semidirect
96. #14583262C22semidirect
97. #14583262C22semidirect
98. #14583260C22semidirect
99. #14583259C22semidirect
100. #14583257C22semidirect
101. #14583256C22semidirect
102. #14583255C22semidirect
103. #14583253C22semidirect
104. #14583252C22semidirect
105. #14583247C22semidirect
106. #14583245C22semidirect
107. #14583244C22semidirect
108. #14583244C22semidirect
109. #14583153C22semidirect
110. #14583151C22semidirect
111. #14583151C22semidirect
112. #14583149C22semidirect
113. #14583148C22semidirect
114. #14583146C22semidirect
115. #14583144C22semidirect
116. #14583142C22semidirect
117. #14583139C22semidirect
118. #14583138C22semidirect
121. #14583135C22semidirect
124. #14583134C22semidirect
127. #14583133C22semidirect
128. #14583133C22semidirect
129. #14583133C22semidirect
131. #14583130C22semidirect
132. #14583129C22semidirect
133. #14583128C22semidirect
134. #14583128C22semidirect
135. #14583126C22semidirect
136. #14583125C22semidirect
137. #14583012C22semidirect
138. #14583012C22semidirect
139. #14583011C22semidirect
140. #14583010C22semidirect
141. #14583008C22semidirect
142. #14583008C22semidirect
143. #14583002C22semidirect
144. #14583001C22semidirect
145. #14583001C22semidirect
146. #14583000C22semidirect
147. #14582998C22semidirect
148. #14582996C22semidirect
149. C4×#10621885C22semidirect
150. #14582991C22semidirect
151. SD16×Dic43C22semidirect
152. C4×#10621884C22semidirect
153. #14582986C22semidirect
154. C4×#10621883C22semidirect
155. D8×Dic43C22semidirect
156. #14582981C22semidirect
157. C4×#10621882C22semidirect
158. C4×#10621882C22semidirect
159. C4×#10621882C22semidirect
160. C4×#10621882C22semidirect
161. C4×#10621882C22semidirect
162. #14582979C22semidirect
163. #14582979C22semidirect
164. #14582979C22semidirect
181. #14582856C22semidirect
182. #14582856C22semidirect
183. #14582856C22semidirect
184. #14582856C22semidirect
185. C2×#13063235C22semidirect
186. C2×C4×C43⋊C8C22semidirect
187. C2×C8×Dic43C22semidirect
188. C43×#532C22semidirect
189. C43×#529C22semidirect
190. C43×#501C22semidirect
191. C43×#496C22semidirect
192. C43×#490C22semidirect
193. C43×#489C22semidirect
195. C43×#466C22semidirect
196. C43×#465C22semidirect
197. C43×#465C22semidirect
198. C43×#442C22semidirect
199. C43×#442C22semidirect
200. C43×#440C22semidirect
201. C43×#440C22semidirect
202. C2×#97×C43C22semidirect
694. #10621872#41semidirect
698. C8×D43#41semidirect
880. #3180D43semidirect
955. #532C2×D43semidirect
959. #529C2×D43semidirect
972. #501C2×D43semidirect
980. #496C2×D43semidirect
988. #490C2×D43semidirect
992. #489C2×D43semidirect
1024. #466C2×D43semidirect
1031. #465C2×D43semidirect
1032. #465C2×D43semidirect
1039. #442C2×D43semidirect
1040. #442C2×D43semidirect
1047. #440C2×D43semidirect
1048. #440C2×D43semidirect
1086. C2×#97C2×D43semidirect
1089. C43#60707semidirect

Maximal subgroups

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

subgroupindex
#191483252
#191483182
#191452932
#191452882
#191452862
#191452842
#191452832
#191452762
#191452752
#191452442
#191452432
#191452332
#191452322
#191451702
#191451692
#191451592
#191451582
#191451302
#191450792
#191449502
#191449462
#191442112
#191442072
#191441712
#466×D432
#191434672
#191434442
#191434262
#191434242
C2×#145828562
C43×#31802
#6070743