Finite Group Databasebeta

← #25982058

Subgroups — #25982058

Order 11008.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148431C211yesmaximal, characteristic, complemented
2D4×#10621902C211yesmaximal, characteristic, complemented
3#19146867C211yesmaximal, characteristic, complemented
4#19146817C211yesmaximal, characteristic, complemented
5#19146766C211yesmaximal, characteristic, complemented
6#19146738C211yesmaximal, characteristic, complemented
7#19146726C211yesmaximal, characteristic, complemented
8#19146698C211yesmaximal, characteristic, complemented
9#19146501C211yesmaximal, characteristic, complemented
10#19146451C211yesmaximal, characteristic, complemented
11#19146336C211yesmaximal, characteristic, complemented
12#19146295C211yesmaximal, characteristic, complemented
13#19146220C211yesmaximal, characteristic, complemented
14#19146199C211yesmaximal, characteristic, complemented
15#19146130C211yesmaximal, characteristic, complemented
16#19146119C211yesmaximal, characteristic, complemented
17#19146091C211yesmaximal, characteristic, complemented
18#19145629C211yesmaximal, characteristic, complemented
19#19145576C211yesmaximal, characteristic, complemented
20#19145438C211yesmaximal, characteristic, complemented
21#19145428C211yesmaximal, characteristic, complemented
22#19145387C211yesmaximal, characteristic, complemented
23#19145361C211yesmaximal, characteristic, complemented
24#19144710C211yesmaximal, characteristic, complemented
25#19144612C211yesmaximal, characteristic, complemented
26#19143846C211yesmaximal, characteristic, complemented
27#19143836C211yesmaximal, characteristic, complemented
28#19143818C211yesmaximal, characteristic, complemented
29C2×#14583060C211yesmaximal, characteristic, complemented
30#19143625C211yesmaximal, characteristic, complemented
31C43×#3270C211yesmaximal, characteristic, complemented
32C22×#10621902C2211yescharacteristic
33C22×#10621902C2211yescharacteristic, complemented
34C2×#13063352C2211yescharacteristic, complemented
35C2×#13063352C2211yescharacteristic, complemented
36C2×#13063350C2211yescharacteristic, complemented
37C2×#13063348C2211yescharacteristic, complemented
38C2×#13063348C2211yescharacteristic, complemented
39C22×#10621884C2211yescharacteristic, complemented
40#14583601C2211yescharacteristic, complemented
41#14583598—21no—
42#14583595C2211yescharacteristic
43#14583592—21no—
44#14583590C2211yescharacteristic, complemented
45#14583583C2211yescharacteristic, complemented
46#14583579—21no—
47#14583576—21no—
48#14583571C2211yescharacteristic
49#14583560C2211yescharacteristic
50#14583560C2211yescharacteristic, complemented
51#14583560C2211yescharacteristic, complemented
52#14583552—21no—
53#14583552C2211yescharacteristic
54#14583542C2211yescharacteristic, complemented
55#14583540—21no—
56#14583540—21no—
57#14583540C2211yescharacteristic
58#14583540C2211yescharacteristic, complemented
59#14583537C2211yescharacteristic, complemented
60D4×D172—21no—
61D4×D172C2211yescharacteristic, complemented
62#14583495—21no—
63#14583483—21no—
64#14583457—21no—
65#14583450—21no—
66#14583450C2211yescharacteristic, complemented
67#14583436C2211yescharacteristic, complemented
68#14583428C2211yescharacteristic, complemented
69#14583412—21no—
70#14583412—21no—
71#14583412C2211yescharacteristic
72#14583412C2211yescharacteristic, complemented
73#14583412C2211yescharacteristic, complemented
74#14583406C2211yescharacteristic, complemented
75C2×#13063301C2211yescharacteristic, complemented
76#121×D43C2211yescharacteristic, complemented
77#14583371—21no—
78C4×#10621902C2211yescharacteristic, complemented
79C4×D4×D43—21no—
80C4×D4×D43C2211yescharacteristic
81#14583289C2211yescharacteristic, complemented
82#14583284C2211yescharacteristic, complemented
83#14583284C2211yescharacteristic, complemented
84#14583267C2211yescharacteristic, complemented
85#14583264C2211yescharacteristic, complemented
86#14583255C2211yescharacteristic, complemented
87#14583255C2211yescharacteristic, complemented
88#14583238C2211yescharacteristic, complemented
89#14583238C2211yescharacteristic, complemented
90#14583238C2211yescharacteristic, complemented
91#14583237C2211yescharacteristic, complemented
92#14583233C2211yescharacteristic, complemented
93#14583232C2211yescharacteristic, complemented
94#14583225C2211yescharacteristic, complemented
95#14583225C2211yescharacteristic, complemented
96#14583224C2211yescharacteristic, complemented
97#14583221C2211yescharacteristic, complemented
98#14583219C2211yescharacteristic, complemented
99#14583218C2211yescharacteristic, complemented
100#14583206C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583200C2211yescharacteristic, complemented
103#14583198C2211yescharacteristic, complemented
104#14583154C2211yescharacteristic, complemented
105#14583154C2211yescharacteristic, complemented
106#14583152C2211yescharacteristic, complemented
107#14583148C2211yescharacteristic, complemented
108#14583148C2211yescharacteristic, complemented
109#14583147C2211yescharacteristic, complemented
110#14583147C2211yescharacteristic, complemented
111#14583137C2211yescharacteristic, complemented
112#14583135C2211yescharacteristic, complemented
113#14583134C2211yescharacteristic, complemented
114#14583133C2211yescharacteristic, complemented
115#14583131C2211yescharacteristic, complemented
116#14583130C2211yescharacteristic, complemented
117#14583125C2211yescharacteristic, complemented
118#14583123C2211yescharacteristic, complemented
119#14583123C2211yescharacteristic, complemented
120#14583123C2211yescharacteristic, complemented
121#14583117C2211yescharacteristic, complemented
122#14583116C2211yescharacteristic, complemented
123#14583116C2211yescharacteristic, complemented
124#14583111C2211yescharacteristic, complemented
125#14583101C2211yescharacteristic, complemented
126#14583099C2211yescharacteristic, complemented
127#14583095C2211yescharacteristic, complemented
128#14583060C2211yescharacteristic, complemented
129#14583060C2211yescharacteristic, complemented
130#14583060C2211yescharacteristic, complemented
131#14583060C2211yescharacteristic, complemented
132#14583060C2211yescharacteristic, complemented
133#14583060C2211yescharacteristic, complemented
134#14583060C2211yescharacteristic, complemented
135#14583060C2211yescharacteristic, complemented
136#14583060C2211yescharacteristic, complemented
137#14583060C2211yescharacteristic, complemented
138#14583060C2211yescharacteristic, complemented
139#14583060C2211yescharacteristic, complemented
140#14583060C2211yescharacteristic, complemented
141#14583049C2211yescharacteristic, complemented
142#14583048C2211yescharacteristic, complemented
143#14583047C2211yescharacteristic
144#14583047C2211yescharacteristic, complemented
145#14583047C2211yescharacteristic, complemented
146#14583047C2211yescharacteristic, complemented
147#14583044C2211yescharacteristic, complemented
148#14583043C2211yescharacteristic
149#14583043C2211yescharacteristic, complemented
150#14583043C2211yescharacteristic, complemented
151#14583043C2211yescharacteristic, complemented
152#14583043C2211yescharacteristic, complemented
153#14583038C2211yescharacteristic, complemented
154#14583038C2211yescharacteristic, complemented
155#14583038C2211yescharacteristic, complemented
156#14583035C2211yescharacteristic, complemented
157#14583035C2211yescharacteristic, complemented
158#14583034C2211yescharacteristic, complemented
159#14583032C2211yescharacteristic, complemented
160#14583012C2211yescharacteristic, complemented
161#14582997C2211yescharacteristic, complemented
162#14582997C2211yescharacteristic, complemented
163Q16×Dic43C2211yescharacteristic, complemented
164SD16×Dic43C2211yescharacteristic, complemented
165#14582984C2211yescharacteristic, complemented
166#14582979C2211yescharacteristic, complemented
167#14582975C2211yescharacteristic, complemented
168#14582974C2211yescharacteristic, complemented
169#14582972C2211yescharacteristic, complemented
170#14582971C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic, complemented
172C8×C22⋊D43C2211yescharacteristic, complemented
173(C22⋊D43)⋊C8C2211yescharacteristic, complemented
174#14582954C2211yescharacteristic, complemented
175#14582951C2211yescharacteristic, complemented
176#14582908C2211yescharacteristic, complemented
177#14582905C2211yescharacteristic, complemented
178#14582899C2211yescharacteristic, complemented
179#14582899C2211yescharacteristic, complemented
180#14582894C2211yescharacteristic, complemented
181#14582894C2211yescharacteristic, complemented
182C2×#13063249C2211yescharacteristic, complemented
183C2×#13063247C2211yescharacteristic, complemented
184#14582862C2211yescharacteristic, complemented
185#14582861C2211yescharacteristic, complemented
186C2×(C2×D43)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D43C2211yescharacteristic, complemented
188C2×#137×C43C2211yescharacteristic, complemented
189C22×Q16×C43C2211yescharacteristic, complemented
190D4×Q8×C43C2211yescharacteristic, complemented
191C43×#548C2211yescharacteristic
192C43×#497C2211yescharacteristic, complemented
193C43×#470C2211yescharacteristic, complemented
194C43×#465C2211yescharacteristic, complemented
195C43×#464C2211yescharacteristic, complemented
196C43×#462C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic, complemented
198C43×#451C2211yescharacteristic, complemented
199C43×#451C2211yescharacteristic, complemented
200C43×#448C2211yescharacteristic, complemented
201C43×#441C2211yescharacteristic, complemented
202C43×#435C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902—21no—
205C2×#10621902—21no—
206C2×#10621902—21no—
207C2×#10621902—42no—
208C2×#10621902—42no—
209C2×#10621902—42no—
210C2×#10621902—42no—
211C2×#10621902C2311yescharacteristic
212C2×#10621902C2311yescharacteristic
213C2×#10621902C2311yescharacteristic
214C2×#10621902C2311yescharacteristic
215C2×#10621902C2311yescharacteristic
216C2×#10621902C2311yescharacteristic
217C2×#10621902C2311yescharacteristic
218C2×#10621902C2311yescharacteristic
219C22×D172—21no—
220C22×D172—21no—
221C22×D172C2311yescharacteristic
222C22×D172C2311yescharacteristic
223C2×D4×D43—21no—
224C2×D4×D43—21no—
225C2×D4×D43D411yescharacteristic
226C2×D4×D43C2311yescharacteristic
227C22×C4×D43—21no—
228C22×C4×D43—21no—
229C22×C4×D43C2311yescharacteristic
230C22×C4×D43C2311yescharacteristic
231#13063352—42no—
232#13063352—42no—
233#13063350—42no—
234#13063348—42no—
235#13063348—42no—
236C2×#10621884—42no—
237C2×#10621884C2311yescharacteristic
238C2×#10621884C2311yescharacteristic
239C2×#10621884C2311yescharacteristic
240C2×#10621884C2311yescharacteristic
241C2×#10621884C2311yescharacteristic
242C2×#10621884C2311yescharacteristic
243C2×#10621884C2311yescharacteristic
244C2×#10621884C2311yescharacteristic
245C2×#10621884C2311yescharacteristic
246C2×D344C2311yescharacteristic
247C2×D344C2311yescharacteristic
248C2×D344C2311yescharacteristic
249C2×#10621882C2311yescharacteristic
250C2×#10621882C2311yescharacteristic
251C2×#10621882C2311yescharacteristic
252C2×#10621877C2311yescharacteristic
253C2×#10621872C2311yescharacteristic
254C2×#10621872C2311yescharacteristic
255C22×C43⋊C8C2311yescharacteristic
256C2×C8×D43C2311yescharacteristic
257C2×C8×D43C2311yescharacteristic
258#13063322—21no—
259#13063322C2311yescharacteristic
260#13063320—21no—
261#13063320—21no—
262#13063319—21no—
263#13063318—21no—
264#13063318—21no—
265#13063318—21no—
266#13063317C2311yescharacteristic
267#13063316C2311yescharacteristic
268#13063315—21no—
269#13063315—21no—
270#13063314—21no—
271#13063314—21no—
272#13063314—21no—
273#13063314C2311yescharacteristic
274#13063314C2311yescharacteristic
275#13063314C2311yescharacteristic
276#13063310—21no—
277#13063310—21no—
278#13063310—21no—
279#13063310—21no—
280#13063310—21no—
281#13063310—21no—
282#13063310—21no—
283#13063310—21no—
284#13063310—21no—
285#13063309—21no—
286#13063308—21no—
287#13063307—21no—
288#13063307—21no—
289#13063307—21no—
290#13063307—21no—
291#13063306—21no—
292#13063301—21no—
293#13063301—21no—
294#13063301—21no—
295#13063301—21no—
296#13063301—21no—
297#13063301C2311yescharacteristic
298#13063301C2311yescharacteristic
299#13063301C2311yescharacteristic
300#13063301C2311yescharacteristic
301#13063301C2311yescharacteristic
302#13063301C2311yescharacteristic
303#13063301C2311yescharacteristic
304#13063300—21no—
305#13063300—21no—
306#13063300—21no—
307#13063300—21no—
308#13063300—21no—
309#13063300—21no—
310#13063300—21no—
311#13063300—21no—
312#13063300C2311yescharacteristic
313#13063300C2311yescharacteristic
314#13063300C2311yescharacteristic
315#13063299—21no—
316#13063299—21no—
317#13063299—21no—
318#13063299C2311yescharacteristic
319#13063299C2311yescharacteristic
320#13063299C2311yescharacteristic
321#13063299C2311yescharacteristic
322#13063298—21no—
323#13063298—21no—
324#13063297—21no—
325#13063297—21no—
326#13063297—21no—
327#13063297—21no—
328#13063296C2311yescharacteristic
329#13063296C2311yescharacteristic
330#13063295—21no—
331#13063295—21no—
332#13063295—21no—
333#13063295—21no—
334#13063295—21no—
335#13063295—21no—
336#13063295—21no—
337#13063295—21no—
338#13063293—21no—
339#13063293—21no—
340Q8×Dic43C2311yescharacteristic
341Q8×Dic43C2311yescharacteristic
342C4×D172—21no—
343C4×D172—21no—
344C4×D172—21no—
345C4×D172C2311yescharacteristic
346C4×D172C2311yescharacteristic
347C4×D172C2311yescharacteristic
348D4×Dic43—21no—
349D4×Dic43D411yescharacteristic
350D4×Dic43C2311yescharacteristic
351#13063287—21no—
352#13063287—21no—
353#13063287—21no—
354#13063287—21no—
355#13063287—21no—
356#13063287—21no—
357#13063287D411yescharacteristic
358#13063287C2311yescharacteristic
359C4×C22⋊D43—21no—
360C4×C22⋊D43—21no—
361C4×C22⋊D43—21no—
362C4×C22⋊D43—21no—
363C4×C22⋊D43—21no—
364C4×C22⋊D43C2311yescharacteristic
365C4×C22⋊D43C2311yescharacteristic
366(C22⋊D43)⋊C4—21no—
367(C22⋊D43)⋊C4—21no—
368(C22⋊D43)⋊C4—21no—
369(C22⋊D43)⋊C4—21no—
370(C22⋊D43)⋊C4—21no—
371(C22⋊D43)⋊C4D411yescharacteristic
372(C22⋊D43)⋊C4D411yescharacteristic
373#13063284C2311yescharacteristic
374#13063283—21no—
375#13063283—21no—
376#13063283C2311yescharacteristic
377#13063283C2311yescharacteristic
378#13063282—21no—
379#13063282—21no—
380#13063281—21no—
381C2×C4⋊Dic43C2311yescharacteristic
382C2×Dic43⋊C4—21no—
383C4⋊C4×D43—21no—
384C4⋊C4×D43D411yescharacteristic
385C4⋊C4×D43C2311yescharacteristic
386C2×(C2×D43)⋊C4—21no—
387C2×(C2×D43)⋊C4—21no—
388C22⋊C4×D43—21no—
389C22⋊C4×D43—21no—
390C22⋊C4×D43—21no—
391C22⋊C4×D43—21no—
392C22⋊C4×D43D411yescharacteristic
393C22⋊C4×D43D411yescharacteristic
394C42×D43—21no—
395C42×D43C2311yescharacteristic
396#13063259C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063258C2311yescharacteristic
400#13063257C2311yescharacteristic
401#13063257C2311yescharacteristic
402#13063256C2311yescharacteristic
403C4⋊(C43⋊C8)C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432C22⋊(C43⋊C8)C2311yescharacteristic
433C22⋊(C43⋊C8)C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435(C2×D43)⋊C8C2311yescharacteristic
436(C2×D43)⋊C8C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441(C2×D43)⋊C8C2311yescharacteristic
442#13063236C2311yescharacteristic
443C8×Dic43C2311yescharacteristic
444C8×Dic43C2311yescharacteristic
445C2×#41×C43C2311yescharacteristic
446C22×Q8×C43C2311yescharacteristic
447C22×Q8×C43C2311yescharacteristic
448C22×Q8×C43C2311yescharacteristic
449#137×C43—42no—
450C2×Q16×C43—42no—
451C2×Q16×C43C2311yescharacteristic
452C2×Q16×C43C2311yescharacteristic
453C2×Q16×C43C2311yescharacteristic
454C2×Q16×C43C2311yescharacteristic
455C2×Q16×C43C2311yescharacteristic
456C2×Q16×C43C2311yescharacteristic
457C2×SD16×C43C2311yescharacteristic
458C2×SD16×C43C2311yescharacteristic
459C2×SD16×C43C2311yescharacteristic
460C2×M16×C43C2311yescharacteristic
461C22×C8×C43C2311yescharacteristic
462C4⋊Q8×C43—21no—
463C4⋊Q8×C43C2311yescharacteristic
464#124×C43—21no—
465#124×C43C2311yescharacteristic
466C22⋊Q8×C43—21no—
467C22⋊Q8×C43—21no—
468C22⋊Q8×C43—21no—
469C22⋊Q8×C43C2311yescharacteristic
470C22⋊Q8×C43C2311yescharacteristic
471C22⋊Q8×C43C2311yescharacteristic
472#121×C43—21no—
473#121×C43C2311yescharacteristic
474C4×Q8×C43C2311yescharacteristic
475C4×Q8×C43C2311yescharacteristic
476C4×D4×C43—21no—
477C4×D4×C43—21no—
478C4×D4×C43C2311yescharacteristic
479#106×C43C2311yescharacteristic
480C4⋊C8×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#103×C43C2311yescharacteristic
483#103×C43C2311yescharacteristic
484#103×C43C2311yescharacteristic
485#103×C43C2311yescharacteristic
486#102×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489#97×C43C2311yescharacteristic
490C23×D43—21no—
491C23×D43—21no—
492C23×D43—21no—
493C23×D43C2×D411yescharacteristic
494C23×D43C2×D411yescharacteristic
495#41×C43—41no—
496#41×C43—41no—
497C2×Q8×C43—21no—
498C2×Q8×C43—21no—
499C2×Q8×C43—21no—
500C2×Q8×C43—22no—
501C2×Q8×C43—22no—
502C2×Q8×C43—41no—
503C2×Q8×C43—41no—
504C2×Q8×C43—41no—
505C2×Q8×C43—41no—
506C2×Q8×C43C2411yescharacteristic
507C2×Q8×C43C2411yescharacteristic
508C2×Q8×C43C2411yescharacteristic
509C2×Q8×C43C2411yescharacteristic
510C2×Q8×C43C2411yescharacteristic
511C2×D4×C43—21no—
512C2×D4×C43—21no—
513C2×D4×C43C2×D411yescharacteristic
514C2×D4×C43C2411yescharacteristic
515C22×C4×C43—21no—
516C22×C4×C43—21no—
517C22×C4×C43—21no—
518C22×C4×C43—21no—
519C22×C4×C43C2411yescharacteristic
520C22×C4×C43C2411yescharacteristic
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43C2×D411yescharacteristic
529C2×C22⋊D43C2×D411yescharacteristic
530C22×Dic43—21no—
531C22×Dic43—21no—
532C22×Dic43C2×D411yescharacteristic
533C22×Dic43C2×D411yescharacteristic
534#10621902—22no—
535#10621902—22no—
536#10621902—22no—
537#10621902—22no—
538#10621902—22no—
539#10621902—22no—
540#10621902—41no—
541#10621902—41no—
542#10621902—41no—
543#10621902—41no—
544#10621902—41no—
545#10621902—41no—
546#10621902—41no—
547#10621902—41no—
548#10621902—44no—
549#10621902—44no—
550#10621902—41no—
551#10621902—41no—
552#10621902—44no—
553#10621902—44no—
554D4×D43—42no—
555D4×D43—44no—
556D4×D43—44no—
557D4×D43—41no—
558D4×D43—41no—
559C2×D172—21no—
560C2×D172—21no—
561C2×D172—21no—
562C2×D172—21no—
563C2×D172—21no—
564C2×D172—21no—
565C2×D172—21no—
566C2×D172—21no—
567C2×D172—21no—
568C2×D172—21no—
569C2×D172—21no—
570C2×D172—21no—
571C2×D172—21no—
572C2×D172—21no—
573C2×D172—21no—
574C2×D172—22no—
575C2×D172—22no—
576C2×D172—41no—
577C2×D172—41no—
578C2×D172—44no—
579C2×D172—44no—
580C2×D172C2×D411yescharacteristic
581C2×D172C2411yescharacteristic
582C2×D172C2411yescharacteristic
583C2×D172C2411yescharacteristic
584C2×D172C2411yescharacteristic
585C2×C4×D43—21no—
586C2×C4×D43—21no—
587C2×C4×D43—21no—
588C2×C4×D43—21no—
589C2×C4×D43—21no—
590C2×C4×D43—21no—
591C2×C4×D43—21no—
592C2×C4×D43—21no—
593C2×C4×D43—21no—
594C2×C4×D43—21no—
595C2×C4×D43—21no—
596C2×C4×D43—21no—
597C2×C4×D43—41no—
598C2×C4×D43—41no—
599C2×C4×D43—41no—
600C2×C4×D43—41no—
601C2×C4×D43—44no—
602C2×C4×D43—44no—
603C2×C4×D43C2×D411yescharacteristic
604C2×C4×D43C2×D411yescharacteristic
605C2×C4×D43C2×D411yescharacteristic
606C2×C4×D43C2×D411yescharacteristic
607C2×C4×D43C2×D411yescharacteristic
608C2×C4×D43C2×D411yescharacteristic
609C2×C4×D43C2411yescharacteristic
610C2×C4×D43C2411yescharacteristic
611C2×C4×D43C2411yescharacteristic
612Q16×C43—22no—
613Q16×C43—22no—
614Q16×C43—41no—
615Q16×C43—41no—
616Q16×C43—41no—
617Q16×C43—41no—
618SD16×C43—22no—
619SD16×C43—41no—
620SD16×C43—41no—
621M16×C43—41no—
622C2×C8×C43—41no—
623C2×C8×C43C2411yescharacteristic
624C2×C8×C43C2411yescharacteristic
625C2×C8×C43C2411yescharacteristic
626C2×C8×C43C2411yescharacteristic
627C4⋊C4×C43—21no—
628C4⋊C4×C43—21no—
629C4⋊C4×C43—21no—
630C4⋊C4×C43—21no—
631C4⋊C4×C43—21no—
632C4⋊C4×C43—21no—
633C4⋊C4×C43—21no—
634C4⋊C4×C43C2×D411yescharacteristic
635C4⋊C4×C43C2411yescharacteristic
636C4⋊C4×C43C2411yescharacteristic
637C22⋊C4×C43—21no—
638C22⋊C4×C43—21no—
639C22⋊C4×C43—21no—
640C22⋊C4×C43—21no—
641C22⋊C4×C43—21no—
642C22⋊C4×C43—21no—
643C22⋊C4×C43C2×D411yescharacteristic
644C22⋊C4×C43C2×D411yescharacteristic
645C42×C43—21no—
646C42×C43—21no—
647C42×C43C2411yescharacteristic
648C22⋊Dic43—21no—
649C22⋊Dic43—21no—
650C22⋊Dic43—21no—
651C22⋊Dic43—21no—
652C22⋊Dic43C2×D411yescharacteristic
653C22⋊Dic43C2×D411yescharacteristic
654#10621884—22no—
655#10621884—22no—
656#10621884—22no—
657#10621884—41no—
658#10621884—41no—
659#10621884—41no—
660#10621884—41no—
661#10621884—41no—
662#10621884—41no—
663#10621882—22no—
664#10621882—41no—
665#10621882—41no—
666(C2×D43)⋊C4—21no—
667(C2×D43)⋊C4—21no—
668(C2×D43)⋊C4—21no—
669(C2×D43)⋊C4—21no—
670(C2×D43)⋊C4—21no—
671(C2×D43)⋊C4—21no—
672(C2×D43)⋊C4—21no—
673(C2×D43)⋊C4—21no—
674(C2×D43)⋊C4—21no—
675(C2×D43)⋊C4—21no—
676(C2×D43)⋊C4—21no—
677(C2×D43)⋊C4—21no—
678(C2×D43)⋊C4—21no—
679(C2×D43)⋊C4—21no—
680(C2×D43)⋊C4—21no—
681(C2×D43)⋊C4—21no—
682(C2×D43)⋊C4—21no—
683(C2×D43)⋊C4—21no—
684(C2×D43)⋊C4—21no—
685(C2×D43)⋊C4—21no—
686(C2×D43)⋊C4—21no—
687(C2×D43)⋊C4—21no—
688(C2×D43)⋊C4—21no—
689(C2×D43)⋊C4—21no—
690(C2×D43)⋊C4—21no—
691(C2×D43)⋊C4C2×D411yescharacteristic
692(C2×D43)⋊C4C2×D411yescharacteristic
693(C2×D43)⋊C4C2×D411yescharacteristic
694(C2×D43)⋊C4C2×D411yescharacteristic
695C4⋊Dic43—21no—
696C4⋊Dic43—21no—
697C4⋊Dic43—21no—
698C4⋊Dic43—21no—
699C4⋊Dic43C2×D411yescharacteristic
700C4⋊Dic43C2411yescharacteristic
701C4⋊Dic43C2411yescharacteristic
702C4⋊Dic43C2411yescharacteristic
703C4⋊Dic43C2411yescharacteristic
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4—21no—
707Dic43⋊C4—21no—
708Dic43⋊C4—21no—
709Dic43⋊C4—21no—
710Dic43⋊C4—21no—
711Dic43⋊C4—21no—
712Dic43⋊C4—21no—
713Dic43⋊C4—21no—
714Dic43⋊C4—21no—
715Dic43⋊C4C2×D411yescharacteristic
716Dic43⋊C4C2×D411yescharacteristic
717C4×Dic43—21no—
718C4×Dic43—21no—
719C4×Dic43—21no—
720C4×Dic43—21no—
721C4×Dic43—21no—
722C4×Dic43C2×D411yescharacteristic
723C4×Dic43C2×D411yescharacteristic
724C4×Dic43C2411yescharacteristic
725#10621877—41no—
726C2×C43⋊C8—41no—
727C2×C43⋊C8C2411yescharacteristic
728C2×C43⋊C8C2411yescharacteristic
729C2×C43⋊C8C2411yescharacteristic
730C2×C43⋊C8C2411yescharacteristic
731D344—22no—
732D344—41no—
733D344—41no—
734#10621872—41no—
735#10621872—41no—
736C8×D43—41no—
737C8×D43—41no—
738C23×C43—21no—
739C23×C43C22×D411yescharacteristic
740C23×C43C22×D411yescharacteristic
741C22×D43—21no—
742C22×D43—22no—
743C22×D43—21no—
744C22×D43—21no—
745C22×D43—21no—
746C22×D43—41no—
747C22×D43—41no—
748C22×D43—41no—
749C22×D43—41no—
750C22×D43—41no—
751C22×D43—42no—
752C22×D43—42no—
753C22×D43—42no—
754C22×D43—42no—
755C22×D43—42no—
756C22×D43—81no—
757C22×D43—81no—
758C22×D43—81no—
759C22×D43—81no—
760C22×D43C22×D411yescharacteristic
761C22×D43C22×D411yescharacteristic
762C22×D43C22×D411yescharacteristic
763Q8×C43—21no—
764Q8×C43—21no—
765Q8×C43—21no—
766Q8×C43—21no—
767Q8×C43—21no—
768Q8×C43—21no—
769Q8×C43—21no—
770Q8×C43—21no—
771Q8×C43—21no—
772Q8×C43—42no—
773Q8×C43—42no—
774Q8×C43—81no—
775Q8×C43H(5,𝔽2)12yes—
776D4×C43—22no—
777D4×C43—21no—
778D4×C43—21no—
779D4×C43—42no—
780D4×C43—81no—
781C2×C4×C43—21no—
782C2×C4×C43—21no—
783C2×C4×C43—21no—
784C2×C4×C43—21no—
785C2×C4×C43—21no—
786C2×C4×C43—21no—
787C2×C4×C43—21no—
788C2×C4×C43—21no—
789C2×C4×C43—21no—
790C2×C4×C43—21no—
791C2×C4×C43—21no—
792C2×C4×C43—42no—
793C2×C4×C43—42no—
794C2×C4×C43—81no—
795C2×C4×C43—81no—
796C2×C4×C43C22×D411yescharacteristic
797C2×C4×C43C22×D411yescharacteristic
798C2×C4×C43C22×D411yescharacteristic
799C2×C4×C43C22×D411yescharacteristic
800C2×C4×C43C2511yescharacteristic
801C22⋊D43—22no—
802C22⋊D43—41no—
803C22⋊D43—42no—
804C22⋊D43—42no—
805C22⋊D43—42no—
806C22⋊D43—42no—
807C22⋊D43—81no—
808C22⋊D43—81no—
809C22⋊D43—81no—
810C2×Dic43—21no—
811C2×Dic43—21no—
812C2×Dic43—21no—
813C2×Dic43—21no—
814C2×Dic43—41no—
815C2×Dic43—41no—
816C2×Dic43—81no—
817C2×Dic43—81no—
818C2×Dic43C22×D411yescharacteristic
819C2×Dic43C22×D411yescharacteristic
820C2×Dic43C22×D411yescharacteristic
821C2×Dic43C22×D411yescharacteristic
822C2×Dic43C22×D411yescharacteristic
823D172—24no—
824D172—21no—
825D172—21no—
826D172—21no—
827D172—21no—
828D172—21no—
829D172—21no—
830D172—21no—
831D172—41no—
832D172—42no—
833D172—42no—
834D172—42no—
835D172—42no—
836D172—42no—
837D172—42no—
838D172—42no—
839D172—42no—
840D172—42no—
841D172—42no—
842D172—81no—
843D172—81no—
844D172—81no—
845D172—81no—
846D172H(5,𝔽2)12yes—
847C4×D43—24no—
848C4×D43—21no—
849C4×D43—21no—
850C4×D43—21no—
851C4×D43—21no—
852C4×D43—21no—
853C4×D43—21no—
854C4×D43—41no—
855C4×D43—41no—
856C4×D43—41no—
857C4×D43—41no—
858C4×D43—41no—
859C4×D43—41no—
860C4×D43—42no—
861C4×D43—42no—
862C4×D43—42no—
863C4×D43—42no—
864C4×D43—42no—
865C4×D43—42no—
866C4×D43—42no—
867C4×D43—42no—
868C4×D43—81no—
869C4×D43—81no—
870C4×D43—81no—
871C8×C43—21no—
872C8×C43—21no—
873C8×C43—21no—
874C8×C43—21no—
875C43⋊C8—21no—
876C43⋊C8—21no—
877C43⋊C8—21no—
878C43⋊C8—21no—
879#61606—431nomaximal, Sylow
880C22×C43—21no—
881C22×C43—21no—
882C22×C43—21no—
883C22×C43—21no—
884C22×C43—21no—
885C22×C43—41no—
886C22×C43—41no—
887C22×C43—41no—
888C22×C43#57512yes—
889C22×C43C23×D411yescharacteristic
890C2×D43—21no—
891C2×D43—21no—
892C2×D43—21no—
893C2×D43—22no—
894C2×D43—21no—
895C2×D43—21no—
896C2×D43—21no—
897C2×D43—21no—
898C2×D43—21no—
899C2×D43—21no—
900C2×D43—41no—
901C2×D43—41no—
902C2×D43—41no—
903C2×D43—41no—
904C2×D43—41no—
905C2×D43—41no—
906C2×D43—41no—
907C2×D43—41no—
908C2×D43—41no—
909C2×D43—41no—
910C2×D43—41no—
911C2×D43—82no—
912C2×D43—82no—
913C2×D43—84no—
914C2×D43—84no—
915C2×D43—162no—
916C4×C43—21no—
917C4×C43—22no—
918C4×C43—21no—
919C4×C43—21no—
920C4×C43—21no—
921C4×C43—41no—
922C4×C43—41no—
923C4×C43—41no—
924C4×C43—41no—
925C4×C43—41no—
926C4×C43—41no—
927C4×C43C2×H(5,𝔽2)11yescharacteristic
928C4×C43C2×H(5,𝔽2)11yescharacteristic
929Dic43—21no—
930Dic43—21no—
931Dic43—21no—
932Dic43—21no—
933Dic43—21no—
934Dic43—41no—
935Dic43—41no—
936Dic43—41no—
937Dic43—41no—
938#3505—431no—
939D4×#41—431no—
940#3327—431no—
941#3323—431no—
942#3320—431no—
943#3318—431no—
944#3317—431no—
945#3315—431no—
946#3301—431no—
947#3297—431no—
948#3285—431no—
949#3282—431no—
950#3275—431no—
951#3273—431no—
952#3270D4311yescharacteristic, complemented
953#3268—431no—
954#3267—431no—
955#3265—431no—
956#3219—431no—
957#3212—431no—
958#3197—431no—
959#3196—431no—
960#3191—431no—
961#3188—431no—
962#3111—431no—
963#3102—431no—
964#3006—431no—
965#3005—431no—
966#3002—431no—
967C2×#452—431no—
968#2974—431no—
969C2×C43—22no—
970C2×C43—41no—
971C2×C43—81no—
972C2×C43#348411yescharacteristic
973C2×C43C2×#57511yescharacteristic
974C2×C43#358411yescharacteristic
975D43—41no—
976D43—41no—
977D43—41no—
978D43—42no—
979D43—81no—
980D43—81no—
981D43—81no—
982C22×#41—431no—
983C22×#41—431no—
984C2×#137C2×D4311yescharacteristic, complemented
985C2×AGL(1,ℤ/8)—431no—
986C2×AGL(1,ℤ/8)—431no—
987C2×AGL(1,ℤ/8)—431no—
988C2×#135—431no—
989C2×#135—431no—
990C22×Q16C2×D4311yescharacteristic, complemented
991C22×SD16—431no—
992#553—431no—
993#553—431no—
994#553—861no—
995#553—861no—
996#552—431no—
997#552—431no—
998#551—861no—
999#551—861no—
1000#550—431no—
1001D4×Q8C2×D4311yescharacteristic, complemented
1002#548—431no—
1003#548—431no—
1004#548—431no—
1005#548C2×D4311yescharacteristic
1006#547—431no—
1007#547—861no—
1008#546—431no—
1009#546—431no—
1010#546—431no—
1011#546—431no—
1012#546—861no—
1013#546—861no—
1014D42—431no—
1015D42—861no—
1016#539—861no—
1017#538—861no—
1018#534—861no—
1019#532—431no—
1020#532—861no—
1021#529—431no—
1022#529—431no—
1023#525—431no—
1024#525—431no—
1025#525—431no—
1026#525—431no—
1027#525—861no—
1028#525—861no—
1029C2×C22⋊Q8—431no—
1030C2×#121—431no—
1031#518—861no—
1032C4×#41—431no—
1033C2×C4×D4—431no—
1034C2×C4×D4—861no—
1035#497C2×D4311yescharacteristic, complemented
1036#496—431no—
1037#495—431no—
1038#495—431no—
1039#491—431no—
1040#490—431no—
1041#488—431no—
1042#488—431no—
1043#485—431no—
1044#485—431no—
1045#485—431no—
1046#485—431no—
1047#484—431no—
1048#484—431no—
1049#482—431no—
1050#482—431no—
1051#482—431no—
1052#482—431no—
1053#481—431no—
1054#481—431no—
1055#479—431no—
1056#479—431no—
1057#478—431no—
1058#478—431no—
1059#470—431no—
1060#470—431no—
1061#470C2×D4311yescharacteristic, complemented
1062#469—431no—
1063#468—431no—
1064#468—431no—
1065#468—431no—
1066#468—431no—
1067#467—431no—
1068#466—431no—
1069#466—431no—
1070#466—431no—
1071#465—431no—
1072#465—431no—
1073#465—431no—
1074#465C2×D4311yescharacteristic, complemented
1075#464—431no—
1076#464—431no—
1077#464—431no—
1078#464C2×D4311yescharacteristic, complemented
1079#463—431no—
1080#463—431no—
1081#463—431no—
1082#463—431no—
1083#462C2×D4311yescharacteristic, complemented
1084#461—431no—
1085#460—431no—
1086#459—431no—
1087#452—431no—
1088#452—431no—
1089#452—431no—
1090#452—431no—
1091#452—431no—
1092#452—431no—
1093#452—431no—
1094#452—431no—
1095#452—431no—
1096#452—431no—
1097#452—431no—
1098#452—431no—
1099#452—431no—
1100#452C2×D4311yescharacteristic, complemented
1101#451C2×D4311yescharacteristic, complemented
1102#451C2×D4311yescharacteristic, complemented
1103#450—431no—
1104#450—431no—
1105#449—431no—
1106#449—431no—
1107#449—431no—
1108#449—431no—
1109#449—431no—
1110#449—431no—
1111#449—431no—
1112#449—431no—
1113#449—431no—
1114#449—431no—
1115#448—431no—
1116#448—431no—
1117#448—431no—
1118#448C2×D4311yescharacteristic, complemented
1119#447—431no—
1120#447—431no—
1121#447—431no—
1122#447—431no—
1123#442—431no—
1124#441C2×D4311yescharacteristic, complemented
1125#440—431no—
1126#440—431no—
1127C4×Q16—431no—
1128C4×SD16—431no—
1129C4×SD16—431no—
1130C4×D8—431no—
1131#436—431no—
1132#436—431no—
1133#435—431no—
1134#435—431no—
1135#435—431no—
1136#435C2×D4311yescharacteristic, complemented
1137C8×D4—431no—
1138C8×D4—431no—
1139#432—431no—
1140#431—431no—
1141#419—431no—
1142#418—431no—
1143#417—431no—
1144#417—431no—
1145#416—431no—
1146#416—431no—
1147C2×#103—431no—
1148C2×#102—431no—
1149#407—431no—
1150#407—431no—
1151C2×C22⋊C8—431no—
1152C2×C22⋊C8—431no—
1153C43#6160611yescharacteristic, complemented, Sylow
1154C2×#41—431no—
1155C2×#41—431no—
1156C2×#41—431no—
1157C2×#41—431no—
1158C2×#41—431no—
1159C2×#41—431no—
1160C2×#41—431no—
1161C2×#41—431no—
1162C2×#41—861no—
1163C2×#41—861no—
1164C2×#41—861no—
1165C2×#41—861no—
1166C2×#41—1722no—
1167C2×#41—1722no—
1168C2×#41—1722no—
1169C2×#41—1722no—
1170C2×#41C22×D4311yescharacteristic
1171C22×Q8C22×D4311yescharacteristic
1172C22×Q8C22×D4311yescharacteristic
1173C22×Q8C22×D4311yescharacteristic
1174C22×D4—431no—
1175C22×D4—431no—
1176C22×D4—431no—
1177C22×D4—431no—
1178C22×D4—861no—
1179C22×D4—861no—
1180C22×D4—861no—
1181C22×D4—861no—
1182C23×C4—431no—
1183C23×C4—431no—
1184C23×C4—861no—
1185C23×C4—861no—
1186#137—42no—
1187AGL(1,ℤ/8)—1722no—
1188AGL(1,ℤ/8)—1722no—
1189AGL(1,ℤ/8)—1722no—
1190#135—1722no—
1191#135—1722no—
1192C2×Q16—42no—
1193C2×Q16C22×D4311yescharacteristic
1194C2×Q16C22×D4311yescharacteristic
1195C2×Q16C22×D4311yescharacteristic
1196C2×Q16C22×D4311yescharacteristic
1197C2×Q16C22×D4311yescharacteristic
1198C2×Q16C22×D4311yescharacteristic
1199C2×SD16—431no—
1200C2×SD16—431no—
1201C2×SD16—431no—
1202C2×SD16—431no—
1203C2×SD16—431no—
1204C2×SD16—431no—
1205C2×SD16—431no—
1206C2×SD16—431no—
1207C2×SD16—431no—
1208C2×SD16—1722no—
1209C2×SD16C22×D4311yescharacteristic
1210C2×SD16C22×D4311yescharacteristic
1211C2×SD16C22×D4311yescharacteristic
1212C2×D8—431no—
1213C2×D8—431no—
1214C2×D8—431no—
1215C2×D8—431no—
1216C2×D8—431no—
1217C2×D8—431no—
1218C2×M16—431no—
1219C2×M16—431no—
1220C2×M16—431no—
1221C2×M16C22×D4311yescharacteristic
1222C22×C8—431no—
1223C22×C8—431no—
1224C22×C8—431no—
1225C22×C8C22×D4311yescharacteristic
1226C4⋊Q8—21no—
1227C4⋊Q8C22×D4311yescharacteristic
1228#127—431no—
1229#127—861no—
1230#126—861no—
1231#126—861no—
1232#126—861no—
1233#126—861no—
1234#126—861no—
1235#126—861no—
1236#125—431no—
1237#125—431no—
1238#125—861no—
1239#125—861no—
1240#124—21no—
1241#124—431no—
1242#124—431no—
1243#124—431no—
1244#124—861no—
1245#124—861no—
1246#124—861no—
1247#124C22×D4311yescharacteristic
1248#123—861no—
1249#123—861no—
1250#123—861no—
1251#123—861no—
1252#123—861no—
1253#123—861no—
1254#123—861no—
1255#123—861no—
1256#123—861no—
1257#123—861no—
1258#123—861no—
1259#123—861no—
1260#123—861no—
1261#123—861no—
1262#123—861no—
1263#123—861no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—21no—
1267C22⋊Q8—431no—
1268C22⋊Q8—431no—
1269C22⋊Q8—431no—
1270C22⋊Q8—431no—
1271C22⋊Q8—431no—
1272C22⋊Q8—431no—
1273C22⋊Q8—431no—
1274C22⋊Q8—861no—
1275C22⋊Q8—861no—
1276C22⋊Q8—861no—
1277C22⋊Q8—861no—
1278C22⋊Q8—861no—
1279C22⋊Q8C22×D4311yescharacteristic
1280C22⋊Q8C22×D4311yescharacteristic
1281C22⋊Q8C22×D4311yescharacteristic
1282#121—21no—
1283#121—431no—
1284#121—431no—
1285#121—431no—
1286#121—431no—
1287#121—431no—
1288#121—431no—
1289#121—431no—
1290#121—431no—
1291#121—431no—
1292#121—861no—
1293#121—861no—
1294#121—861no—
1295#121—861no—
1296#121—861no—
1297#121—861no—
1298#121—861no—
1299#121—861no—
1300#121—861no—
1301#121—861no—
1302#121—861no—
1303#121—861no—
1304#121—861no—
1305#121—861no—
1306#121—861no—
1307#121—861no—
1308#121—861no—
1309#121C22×D4311yescharacteristic
1310#120—861no—
1311#120—861no—
1312#120—861no—
1313#120—861no—
1314#120—861no—
1315#120—861no—
1316#120—861no—
1317#120—861no—
1318#120—861no—
1319#120—861no—
1320C4×Q8—431no—
1321C4×Q8—431no—
1322C4×Q8C22×D4311yescharacteristic
1323C4×Q8C22×D4311yescharacteristic
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—431no—
1327C4×D4—431no—
1328C4×D4—431no—
1329C4×D4—431no—
1330C4×D4—431no—
1331C4×D4—431no—
1332C4×D4—431no—
1333C4×D4—431no—
1334C4×D4—431no—
1335C4×D4—431no—
1336C4×D4—431no—
1337C4×D4—861no—
1338C4×D4—861no—
1339C4×D4—861no—
1340C4×D4—861no—
1341C4×D4—861no—
1342C4×D4—861no—
1343C4×D4—861no—
1344C4×D4—861no—
1345C4×D4—861no—
1346C4×D4—861no—
1347C4×D4—861no—
1348C4×D4—861no—
1349C4×D4—861no—
1350C4×D4—861no—
1351C4×D4—861no—
1352C4×D4—861no—
1353C4×D4—861no—
1354C4×D4—861no—
1355C4×D4—861no—
1356C4×D4—861no—
1357C4×D4C22×D4311yescharacteristic
1358#117—431no—
1359#117—431no—
1360#117—431no—
1361#117—861no—
1362#117—861no—
1363#117—861no—
1364#117—861no—
1365#117—861no—
1366C2×C4⋊C4—431no—
1367C2×C4⋊C4—431no—
1368C2×C4⋊C4—431no—
1369C2×C4⋊C4—861no—
1370C2×C4⋊C4—861no—
1371C2×C22⋊C4—431no—
1372C2×C22⋊C4—431no—
1373C2×C22⋊C4—861no—
1374C2×C22⋊C4—861no—
1375C2×C22⋊C4—861no—
1376C2×C22⋊C4—861no—
1377C2×C22⋊C4—861no—
1378C2×C22⋊C4—861no—
1379C2×C42—431no—
1380C2×C42—861no—
1381#107—431no—
1382#107—431no—
1383#107—431no—
1384#107—431no—
1385#106—431no—
1386#106—431no—
1387#106—431no—
1388#106C22×D4311yescharacteristic
1389C4⋊C8—431no—
1390C4⋊C8—431no—
1391C4⋊C8—431no—
1392C4⋊C8C22×D4311yescharacteristic
1393#103—431no—
1394#103—431no—
1395#103—431no—
1396#103—431no—
1397#103—431no—
1398#103—431no—
1399#103—431no—
1400#103—431no—
1401#103—431no—
1402#103—431no—
1403#103—431no—
1404#103C22×D4311yescharacteristic
1405#103C22×D4311yescharacteristic
1406#103C22×D4311yescharacteristic
1407#103C22×D4311yescharacteristic
1408#103C22×D4311yescharacteristic
1409#102—431no—
1410#102—431no—
1411#102—431no—
1412#102—431no—
1413#102—431no—
1414#102—431no—
1415#102—431no—
1416#102—431no—
1417#102—431no—
1418#102—431no—
1419#102—431no—
1420#102—431no—
1421#102—431no—
1422#102—431no—
1423#102—431no—
1424#102C22×D4311yescharacteristic
1425C22⋊C8—431no—
1426C22⋊C8—431no—
1427C22⋊C8—431no—
1428C22⋊C8—431no—
1429C22⋊C8—431no—
1430C22⋊C8—431no—
1431C22⋊C8—431no—
1432C22⋊C8—431no—
1433C22⋊C8—431no—
1434C22⋊C8—431no—
1435C22⋊C8C22×D4311yescharacteristic
1436C22⋊C8C22×D4311yescharacteristic
1437#97—431no—
1438#97C22×D4311yescharacteristic
1439C4×C8—431no—
1440C4×C8—431no—
1441C24—431no—
1442C24—431no—
1443C24—861no—
1444C24—861no—
1445C24—861no—
1446#41—41no—
1447#41—41no—
1448#41—862no—
1449#41—862no—
1450#41—862no—
1451#41—862no—
1452#41—862no—
1453#41—862no—
1454#41—1721no—
1455#41—1721no—
1456#41—1721no—
1457#41—1721no—
1458#41—1721no—
1459#41—1721no—
1460#41—1721no—
1461#41—1721no—
1462#41—1721no—
1463#41—1721no—
1464#41—1724no—
1465#41—1724no—
1466#41—1724no—
1467#41—1724no—
1468C2×Q8—21no—
1469C2×Q8—21no—
1470C2×Q8—21no—
1471C2×Q8—22no—
1472C2×Q8—22no—
1473C2×Q8—41no—
1474C2×Q8—41no—
1475C2×Q8—41no—
1476C2×Q8—41no—
1477C2×Q8C23×D4311yescharacteristic
1478C2×Q8C23×D4311yescharacteristic
1479C2×Q8C23×D4311yescharacteristic
1480C2×Q8C23×D4311yescharacteristic
1481C2×Q8C23×D4311yescharacteristic
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—431no—
1485C2×D4—431no—
1486C2×D4—431no—
1487C2×D4—431no—
1488C2×D4—431no—
1489C2×D4—431no—
1490C2×D4—431no—
1491C2×D4—862no—
1492C2×D4—862no—
1493C2×D4—861no—
1494C2×D4—861no—
1495C2×D4—861no—
1496C2×D4—861no—
1497C2×D4—861no—
1498C2×D4—861no—
1499C2×D4—861no—
1500C2×D4—861no—
1501C2×D4—861no—
1502C2×D4—861no—
1503C2×D4—861no—
1504C2×D4—861no—
1505C2×D4—861no—
1506C2×D4—861no—
1507C2×D4—861no—
1508C2×D4—861no—
1509C2×D4—861no—
1510C2×D4—861no—
1511C2×D4—861no—
1512C2×D4—861no—
1513C2×D4—861no—
1514C2×D4—861no—
1515C2×D4—1721no—
1516C2×D4—1721no—
1517C2×D4—1724no—
1518C2×D4—1724no—
1519C2×D4—1721no—
1520C2×D4—1721no—
1521C2×D4—1722no—
1522C2×D4—1724no—
1523C2×D4—1724no—
1524C2×D4D4×D4311yescharacteristic
1525C2×D4C23×D4311yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—431no—
1531C22×C4—431no—
1532C22×C4—431no—
1533C22×C4—431no—
1534C22×C4—431no—
1535C22×C4—431no—
1536C22×C4—431no—
1537C22×C4—431no—
1538C22×C4—431no—
1539C22×C4—431no—
1540C22×C4—431no—
1541C22×C4—861no—
1542C22×C4—861no—
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—1721no—
1556C22×C4—1721no—
1557C22×C4—1721no—
1558C22×C4—1721no—
1559C22×C4—1724no—
1560C22×C4—1724no—
1561C22×C4C23×D4311yescharacteristic
1562C22×C4C23×D4311yescharacteristic
1563Q16—22no—
1564Q16—22no—
1565Q16—41no—
1566Q16—41no—
1567Q16—41no—
1568Q16—41no—
1569SD16—22no—
1570SD16—41no—
1571SD16—41no—
1572SD16—862no—
1573SD16—862no—
1574SD16—862no—
1575SD16—1721no—
1576SD16—1721no—
1577SD16—1721no—
1578SD16—1721no—
1579SD16—1721no—
1580SD16—1721no—
1581D8—862no—
1582D8—862no—
1583D8—1721no—
1584D8—1721no—
1585D8—1721no—
1586D8—1721no—
1587M16—41no—
1588M16—1721no—
1589M16—1721no—
1590M16—1721no—
1591C2×C8—41no—
1592C2×C8—431no—
1593C2×C8—431no—
1594C2×C8—431no—
1595C2×C8—431no—
1596C2×C8—1721no—
1597C2×C8—1721no—
1598C2×C8—1721no—
1599C2×C8C23×D4311yescharacteristic
1600C2×C8C23×D4311yescharacteristic
1601C2×C8C23×D4311yescharacteristic
1602C2×C8C23×D4311yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—431no—
1611C4⋊C4—431no—
1612C4⋊C4—431no—
1613C4⋊C4—431no—
1614C4⋊C4—431no—
1615C4⋊C4—431no—
1616C4⋊C4—431no—
1617C4⋊C4—861no—
1618C4⋊C4—861no—
1619C4⋊C4—861no—
1620C4⋊C4—861no—
1621C4⋊C4—861no—
1622C4⋊C4—861no—
1623C4⋊C4—861no—
1624C4⋊C4—861no—
1625C4⋊C4—861no—
1626C4⋊C4—861no—
1627C4⋊C4—861no—
1628C4⋊C4—861no—
1629C4⋊C4—861no—
1630C4⋊C4—861no—
1631C4⋊C4—861no—
1632C4⋊C4D4×D4311yescharacteristic
1633C4⋊C4C23×D4311yescharacteristic
1634C4⋊C4C23×D4311yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—431no—
1642C22⋊C4—431no—
1643C22⋊C4—431no—
1644C22⋊C4—431no—
1645C22⋊C4—431no—
1646C22⋊C4—431no—
1647C22⋊C4—861no—
1648C22⋊C4—861no—
1649C22⋊C4—861no—
1650C22⋊C4—861no—
1651C22⋊C4—861no—
1652C22⋊C4—861no—
1653C22⋊C4—861no—
1654C22⋊C4—861no—
1655C22⋊C4—861no—
1656C22⋊C4—861no—
1657C22⋊C4—861no—
1658C22⋊C4—861no—
1659C22⋊C4—861no—
1660C22⋊C4—861no—
1661C22⋊C4—861no—
1662C22⋊C4—861no—
1663C22⋊C4—861no—
1664C22⋊C4—861no—
1665C22⋊C4—861no—
1666C22⋊C4—861no—
1667C22⋊C4—861no—
1668C22⋊C4—861no—
1669C22⋊C4—861no—
1670C22⋊C4—861no—
1671C22⋊C4—861no—
1672C22⋊C4—861no—
1673C22⋊C4—861no—
1674C22⋊C4—861no—
1675C22⋊C4—861no—
1676C22⋊C4D4×D4311yescharacteristic
1677C22⋊C4D4×D4311yescharacteristic
1678C42—21no—
1679C42—21no—
1680C42—431no—
1681C42—431no—
1682C42—431no—
1683C42—861no—
1684C42—861no—
1685C42—861no—
1686C42—861no—
1687C42—861no—
1688C42C23×D4311yescharacteristic
1689C23—21no—
1690C23—431no—
1691C23—431no—
1692C23—431no—
1693C23—862no—
1694C23—861no—
1695C23—861no—
1696C23—861no—
1697C23—861no—
1698C23—3441no—
1699C23—3441no—
1700C23—3441no—
1701C23—3441no—
1702C23—1721no—
1703C23—1721no—
1704C23—1721no—
1705C23—1721no—
1706C23—1721no—
1707C23—1722no—
1708C23—1722no—
1709C23—1722no—
1710C23—1722no—
1711C23—1722no—
1712C23C2×D4×D4311yescharacteristic
1713C23C2×D4×D4311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—21no—
1721Q8—21no—
1722Q8—21no—
1723Q8—42no—
1724Q8—42no—
1725Q8—81no—
1726Q8#1306337012yes—
1727D4—22no—
1728D4—21no—
1729D4—21no—
1730D4—42no—
1731D4—81no—
1732D4—432no—
1733D4—864no—
1734D4—862no—
1735D4—861no—
1736D4—861no—
1737D4—861no—
1738D4—861no—
1739D4—861no—
1740D4—861no—
1741D4—861no—
1742D4—3441no—
1743D4—3441no—
1744D4—3441no—
1745D4—3441no—
1746D4—3441no—
1747D4—3441no—
1748D4—3441no—
1749D4—1721no—
1750D4—1722no—
1751D4—1722no—
1752D4—1722no—
1753D4—1722no—
1754D4—1722no—
1755D4—1722no—
1756D4—1722no—
1757D4—1722no—
1758D4—1722no—
1759D4—1722no—
1760D4—1721no—
1761D4—1722no—
1762D4—1722no—
1763D4—1722no—
1764D4—1722no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—42no—
1777C2×C4—42no—
1778C2×C4—81no—
1779C2×C4—81no—
1780C2×C4—431no—
1781C2×C4—431no—
1782C2×C4—431no—
1783C2×C4—431no—
1784C2×C4—431no—
1785C2×C4—864no—
1786C2×C4—861no—
1787C2×C4—861no—
1788C2×C4—861no—
1789C2×C4—861no—
1790C2×C4—861no—
1791C2×C4—861no—
1792C2×C4—861no—
1793C2×C4—861no—
1794C2×C4—861no—
1795C2×C4—861no—
1796C2×C4—3441no—
1797C2×C4—3441no—
1798C2×C4—3441no—
1799C2×C4—3441no—
1800C2×C4—3441no—
1801C2×C4—1721no—
1802C2×C4—1721no—
1803C2×C4—1721no—
1804C2×C4—1721no—
1805C2×C4—1721no—
1806C2×C4—1721no—
1807C2×C4—1722no—
1808C2×C4—1722no—
1809C2×C4—1722no—
1810C2×C4—1722no—
1811C2×C4—1722no—
1812C2×C4—1722no—
1813C2×C4—1722no—
1814C2×C4—1722no—
1815C2×C4—1721no—
1816C2×C4—1721no—
1817C2×C4C2×D4×D4311yescharacteristic
1818C2×C4C2×D4×D4311yescharacteristic
1819C2×C4C2×D4×D4311yescharacteristic
1820C2×C4C2×D4×D4311yescharacteristic
1821C2×C4C24×D4311yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—861no—
1827C8—861no—
1828C8—861no—
1829C8—861no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—861no—
1839C22—861no—
1840C22—861no—
1841C22—861no—
1842C22—861no—
1843C22—861no—
1844C22—862no—
1845C22—861no—
1846C22—861no—
1847C22—861no—
1848C22—3444no—
1849C22—3442no—
1850C22—3444no—
1851C22—3442no—
1852C22—1721no—
1853C22—1721no—
1854C22—1721no—
1855C22—1721no—
1856C22—1721no—
1857C22—1721no—
1858C22—1721no—
1859C22—1721no—
1860C22—1721no—
1861C22—1721no—
1862C22—1721no—
1863C22—6882no—
1864C22#1458369812yes—
1865C22C22×D4×D4311yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—22no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—861no—
1878C4—861no—
1879C4—861no—
1880C4—861no—
1881C4—861no—
1882C4—1721no—
1883C4—1721no—
1884C4—1721no—
1885C4—1721no—
1886C4H(5,𝔽2)×D4311yescharacteristic
1887C4C2×#1306337011yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—81no—
1891C2—3441no—
1892C2—3441no—
1893C2—3441no—
1894C2—1721no—
1895C2—1721no—
1896C2—1721no—
1897C2—1722no—
1898C2#1914822311yescharacteristic
1899C2C2×#1458369811yescharacteristic
1900C2#1914936511yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3270C2
socleC22×C43C23×D4
hypercenter#3270D43
hypocenterC43#61606
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3270

Complements

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

NH ≅ G/Ntype
1. #19148431C2semidirect
2. D4×#10621902C2semidirect
3. #19146867C2semidirect
4. #19146817C2semidirect
5. #19146766C2semidirect
6. #19146738C2semidirect
7. #19146726C2semidirect
8. #19146698C2semidirect
9. #19146501C2semidirect
10. #19146451C2semidirect
11. #19146336C2semidirect
12. #19146295C2semidirect
13. #19146220C2semidirect
14. #19146199C2semidirect
15. #19146130C2semidirect
16. #19146119C2semidirect
17. #19146091C2semidirect
18. #19145629C2semidirect
19. #19145576C2semidirect
20. #19145438C2semidirect
21. #19145428C2semidirect
22. #19145387C2semidirect
23. #19145361C2semidirect
24. #19144710C2semidirect
25. #19144612C2semidirect
26. #19143846C2semidirect
27. #19143836C2semidirect
28. #19143818C2semidirect
29. C2×#14583060C2semidirect
30. #19143625C2semidirect
31. C43×#3270C2semidirect
33. C22×#10621902C22semidirect
34. C2×#13063352C22semidirect
35. C2×#13063352C22semidirect
36. C2×#13063350C22semidirect
37. C2×#13063348C22semidirect
38. C2×#13063348C22semidirect
39. C22×#10621884C22semidirect
40. #14583601C22semidirect
44. #14583590C22semidirect
45. #14583583C22semidirect
50. #14583560C22semidirect
51. #14583560C22semidirect
54. #14583542C22semidirect
58. #14583540C22semidirect
59. #14583537C22semidirect
61. D4×D172C22semidirect
66. #14583450C22semidirect
67. #14583436C22semidirect
68. #14583428C22semidirect
72. #14583412C22semidirect
73. #14583412C22semidirect
74. #14583406C22semidirect
75. C2×#13063301C22semidirect
76. #121×D43C22semidirect
78. C4×#10621902C22semidirect
81. #14583289C22semidirect
82. #14583284C22semidirect
83. #14583284C22semidirect
84. #14583267C22semidirect
85. #14583264C22semidirect
86. #14583255C22semidirect
87. #14583255C22semidirect
88. #14583238C22semidirect
89. #14583238C22semidirect
90. #14583238C22semidirect
91. #14583237C22semidirect
92. #14583233C22semidirect
93. #14583232C22semidirect
94. #14583225C22semidirect
95. #14583225C22semidirect
96. #14583224C22semidirect
97. #14583221C22semidirect
98. #14583219C22semidirect
99. #14583218C22semidirect
100. #14583206C22semidirect
101. #14583204C22semidirect
102. #14583200C22semidirect
103. #14583198C22semidirect
104. #14583154C22semidirect
105. #14583154C22semidirect
106. #14583152C22semidirect
107. #14583148C22semidirect
108. #14583148C22semidirect
109. #14583147C22semidirect
110. #14583147C22semidirect
111. #14583137C22semidirect
112. #14583135C22semidirect
113. #14583134C22semidirect
114. #14583133C22semidirect
115. #14583131C22semidirect
116. #14583130C22semidirect
117. #14583125C22semidirect
118. #14583123C22semidirect
119. #14583123C22semidirect
120. #14583123C22semidirect
121. #14583117C22semidirect
122. #14583116C22semidirect
123. #14583116C22semidirect
124. #14583111C22semidirect
125. #14583101C22semidirect
126. #14583099C22semidirect
127. #14583095C22semidirect
128. #14583060C22semidirect
129. #14583060C22semidirect
130. #14583060C22semidirect
131. #14583060C22semidirect
132. #14583060C22semidirect
133. #14583060C22semidirect
134. #14583060C22semidirect
135. #14583060C22semidirect
136. #14583060C22semidirect
137. #14583060C22semidirect
138. #14583060C22semidirect
139. #14583060C22semidirect
140. #14583060C22semidirect
141. #14583049C22semidirect
142. #14583048C22semidirect
144. #14583047C22semidirect
145. #14583047C22semidirect
146. #14583047C22semidirect
147. #14583044C22semidirect
149. #14583043C22semidirect
150. #14583043C22semidirect
151. #14583043C22semidirect
152. #14583043C22semidirect
153. #14583038C22semidirect
154. #14583038C22semidirect
155. #14583038C22semidirect
156. #14583035C22semidirect
157. #14583035C22semidirect
158. #14583034C22semidirect
159. #14583032C22semidirect
160. #14583012C22semidirect
161. #14582997C22semidirect
162. #14582997C22semidirect
163. Q16×Dic43C22semidirect
164. SD16×Dic43C22semidirect
165. #14582984C22semidirect
166. #14582979C22semidirect
167. #14582975C22semidirect
168. #14582974C22semidirect
169. #14582972C22semidirect
170. #14582971C22semidirect
171. #14582969C22semidirect
172. C8×C22⋊D43C22semidirect
173. (C22⋊D43)⋊C8C22semidirect
174. #14582954C22semidirect
175. #14582951C22semidirect
176. #14582908C22semidirect
177. #14582905C22semidirect
178. #14582899C22semidirect
179. #14582899C22semidirect
180. #14582894C22semidirect
181. #14582894C22semidirect
182. C2×#13063249C22semidirect
183. C2×#13063247C22semidirect
184. #14582862C22semidirect
185. #14582861C22semidirect
186. C2×(C2×D43)⋊C8C22semidirect
187. C22⋊C8×D43C22semidirect
188. C2×#137×C43C22semidirect
189. C22×Q16×C43C22semidirect
190. D4×Q8×C43C22semidirect
192. C43×#497C22semidirect
193. C43×#470C22semidirect
194. C43×#465C22semidirect
195. C43×#464C22semidirect
196. C43×#462C22semidirect
197. C43×#452C22semidirect
198. C43×#451C22semidirect
199. C43×#451C22semidirect
200. C43×#448C22semidirect
201. C43×#441C22semidirect
202. C43×#435C22semidirect
952. #3270D43semidirect
984. C2×#137C2×D43semidirect
990. C22×Q16C2×D43semidirect
1001. D4×Q8C2×D43semidirect
1035. #497C2×D43semidirect
1061. #470C2×D43semidirect
1074. #465C2×D43semidirect
1078. #464C2×D43semidirect
1083. #462C2×D43semidirect
1100. #452C2×D43semidirect
1101. #451C2×D43semidirect
1102. #451C2×D43semidirect
1118. #448C2×D43semidirect
1124. #441C2×D43semidirect
1136. #435C2×D43semidirect
1153. C43#61606semidirect

Maximal subgroups

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

subgroupindex
#191484312
D4×#106219022
#191468672
#191468172
#191467662
#191467382
#191467262
#191466982
#191465012
#191464512
#191463362
#191462952
#191462202
#191461992
#191461302
#191461192
#191460912
#191456292
#191455762
#191454382
#191454282
#191453872
#191453612
#191447102
#191446122
#191438462
#191438362
#191438182
C2×#145830602
#191436252
C43×#32702
#6160643