Finite Group Databasebeta

← #25968426

Subgroups — #25968426

Order 11008.

2154 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148487C211yesmaximal, characteristic, complemented
2#19148370C211yesmaximal, characteristic, complemented
3#19145692C211yesmaximal, characteristic, complemented
4#19145691C211yesmaximal, characteristic, complemented
5#19145690C211yesmaximal, characteristic, complemented
6#19145689C211yesmaximal, characteristic, complemented
7#19145684C211yesmaximal, characteristic, complemented
8#19145683C211yesmaximal, characteristic, complemented
9#19145682C211yesmaximal, characteristic, complemented
10#19145637C211yesmaximal, characteristic, complemented
11#19145636C211yesmaximal, characteristic, complemented
12#19145631C211yesmaximal, characteristic, complemented
13#19145630C211yesmaximal, characteristic, complemented
14#19145617C211yesmaximal, characteristic, complemented
15#19145616C211yesmaximal, characteristic, complemented
16#19145612C211yesmaximal, characteristic, complemented
17#19145611C211yesmaximal, characteristic, complemented
18#19145056C211yesmaximal, characteristic, complemented
19#496×D43C211yesmaximal, characteristic, complemented
20#19144966C211yesmaximal, characteristic, complemented
21#19144937C211yesmaximal, characteristic, complemented
22#19144114C211yesmaximal, characteristic, complemented
23#19144111C211yesmaximal, characteristic, complemented
24#19144096C211yesmaximal, characteristic, complemented
25#19144093C211yesmaximal, characteristic, complemented
26#19143869C211yesmaximal, characteristic, complemented
27#19143867C211yesmaximal, characteristic, complemented
28#19143860C211yesmaximal, characteristic, complemented
29#19143858C211yesmaximal, characteristic, complemented
30#19143243C211yesmaximal, characteristic, complemented
31C43×#3224C211yesmaximal, characteristic, complemented
32C2×#13063371C2211yescharacteristic
33C2×#13063370C2211yescharacteristic
34C2×#13063357C2211yescharacteristic, complemented
35C2×#13063354C2211yescharacteristic, complemented
36C2×#13063352C2211yescharacteristic, complemented
37C2×#13063349C2211yescharacteristic, complemented
38C2×SD16×D43C2211yescharacteristic, complemented
39C2×SD16×D43C2211yescharacteristic, complemented
40C2×D8×D43C2211yescharacteristic, complemented
41C2×D8×D43C2211yescharacteristic, complemented
42#14583633—21no—
43#14583631—21no—
44#14583620—21no—
45#14583616—21no—
46#14583579—21no—
47#14583576—21no—
48#14583574—21no—
49#14583572—21no—
50#14583567—21no—
51#14583567—21no—
52#14583533—21no—
53#14583533—21no—
54#14583531—21no—
55#14583531—21no—
56#14583531—21no—
57#14583531—21no—
58#14583523C2211yescharacteristic, complemented
59#14583520C2211yescharacteristic, complemented
60#14583518C2211yescharacteristic, complemented
61#14583472C2211yescharacteristic
62#14583468C2211yescharacteristic, complemented
63#14583467C2211yescharacteristic
64#14583467C2211yescharacteristic, complemented
65#14583465C2211yescharacteristic
66#14583462C2211yescharacteristic
67#14583462C2211yescharacteristic, complemented
68#14583454C2211yescharacteristic, complemented
69#14583448C2211yescharacteristic
70#14583448C2211yescharacteristic, complemented
71#14583445C2211yescharacteristic, complemented
72C2×#13063321C2211yescharacteristic, complemented
73#127×D43C2211yescharacteristic
74#127×D43C2211yescharacteristic, complemented
75#14583436C2211yescharacteristic, complemented
76#14583435C2211yescharacteristic, complemented
77#14583431C2211yescharacteristic, complemented
78#14583430C2211yescharacteristic, complemented
79#124×D43C2211yescharacteristic, complemented
80#14583375C2211yescharacteristic, complemented
81#14583371C2211yescharacteristic, complemented
82#14583367C2211yescharacteristic
83#14583292C2211yescharacteristic, complemented
84#14583290C2211yescharacteristic, complemented
85#14583289C2211yescharacteristic, complemented
86#14583288C2211yescharacteristic, complemented
87#14583287C2211yescharacteristic, complemented
88#14583287C2211yescharacteristic, complemented
89#14583287C2211yescharacteristic, complemented
90#14583286C2211yescharacteristic, complemented
91#14583285C2211yescharacteristic, complemented
92#14583285C2211yescharacteristic, complemented
93#14583285C2211yescharacteristic, complemented
94#14583283C2211yescharacteristic, complemented
95#14583281C2211yescharacteristic, complemented
96#14583281C2211yescharacteristic, complemented
97#14583266C2211yescharacteristic, complemented
98#14583266C2211yescharacteristic, complemented
99#14583262C2211yescharacteristic, complemented
100#14583262C2211yescharacteristic, complemented
101#14583262C2211yescharacteristic, complemented
102#14583262C2211yescharacteristic, complemented
103#14583262C2211yescharacteristic, complemented
104#14583262C2211yescharacteristic, complemented
105#14583261C2211yescharacteristic, complemented
106#14583259C2211yescharacteristic, complemented
107#14583258C2211yescharacteristic, complemented
108#14583247C2211yescharacteristic, complemented
109#14583246C2211yescharacteristic, complemented
110#14583245C2211yescharacteristic, complemented
111#14583124C2211yescharacteristic, complemented
112#14583123C2211yescharacteristic, complemented
113#14583122C2211yescharacteristic, complemented
114#14583121C2211yescharacteristic, complemented
115#14583120C2211yescharacteristic, complemented
116#14583119C2211yescharacteristic, complemented
117#14583118C2211yescharacteristic, complemented
118#14583117C2211yescharacteristic, complemented
119#14583116C2211yescharacteristic, complemented
120#14583115C2211yescharacteristic, complemented
121#14583114C2211yescharacteristic, complemented
122#14583113C2211yescharacteristic, complemented
123#14583112C2211yescharacteristic, complemented
124#14583111C2211yescharacteristic, complemented
125#14583100C2211yescharacteristic, complemented
126#14583099C2211yescharacteristic, complemented
127#14583098C2211yescharacteristic, complemented
128#14583098C2211yescharacteristic, complemented
129#14583097C2211yescharacteristic, complemented
130#14583097C2211yescharacteristic, complemented
131#14583096C2211yescharacteristic, complemented
132#14583095C2211yescharacteristic, complemented
133#14583094C2211yescharacteristic, complemented
134#14583093C2211yescharacteristic, complemented
135#14583093C2211yescharacteristic, complemented
136#14583092C2211yescharacteristic, complemented
137#14583092C2211yescharacteristic, complemented
138#14583091C2211yescharacteristic, complemented
139#14583064C2211yescharacteristic, complemented
140#14583063C2211yescharacteristic, complemented
141#14583062C2211yescharacteristic, complemented
142#14583061C2211yescharacteristic, complemented
143#14583060C2211yescharacteristic, complemented
144#14583059C2211yescharacteristic, complemented
145#14583058C2211yescharacteristic, complemented
146#14583052C2211yescharacteristic, complemented
147#14583051C2211yescharacteristic, complemented
148#14583051C2211yescharacteristic, complemented
149#14583050C2211yescharacteristic, complemented
150#14583049C2211yescharacteristic, complemented
151#14583048C2211yescharacteristic, complemented
152#14583048C2211yescharacteristic, complemented
153#14583047C2211yescharacteristic, complemented
154#14583046C2211yescharacteristic, complemented
155#14583045C2211yescharacteristic, complemented
156#14583044C2211yescharacteristic, complemented
157#14583043C2211yescharacteristic, complemented
158#14583042C2211yescharacteristic, complemented
159#14583041C2211yescharacteristic, complemented
160#14583035C2211yescharacteristic, complemented
161#14583034C2211yescharacteristic, complemented
162#14583034C2211yescharacteristic, complemented
163#14583033C2211yescharacteristic, complemented
164#14583032C2211yescharacteristic, complemented
165#14583031C2211yescharacteristic, complemented
166#14583031C2211yescharacteristic, complemented
167#14582961C2211yescharacteristic, complemented
168#14582960C2211yescharacteristic, complemented
169#14582958C2211yescharacteristic, complemented
170#14582955C2211yescharacteristic, complemented
171#14582955C2211yescharacteristic, complemented
172#14582953C2211yescharacteristic, complemented
173#14582953C2211yescharacteristic, complemented
174#14582924C2211yescharacteristic, complemented
175#14582924C2211yescharacteristic, complemented
176#14582902C2211yescharacteristic, complemented
177#14582902C2211yescharacteristic, complemented
178#14582902C2211yescharacteristic, complemented
179#14582902C2211yescharacteristic, complemented
180#14582894C2211yescharacteristic, complemented
181#14582894C2211yescharacteristic, complemented
182#14582892C2211yescharacteristic, complemented
183#14582892C2211yescharacteristic, complemented
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186C4×#10621872C2211yescharacteristic, complemented
187#97×D43C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic, complemented
189C43×#535C2211yescharacteristic, complemented
190C43×#496C2211yescharacteristic, complemented
191C43×#495C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic, complemented
193C43×#486C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#460C2211yescharacteristic, complemented
197C43×#459C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic, complemented
199C43×#450C2211yescharacteristic, complemented
200C43×#449C2211yescharacteristic, complemented
201C43×#447C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203#13063371—42no—
204#13063371—42no—
205#13063370—42no—
206#13063370—42no—
207C2×#10621902C2311yescharacteristic
208C2×#10621902C2311yescharacteristic
209C2×#10621898—21no—
210C2×#10621898C2311yescharacteristic
211C2×#10621898C2311yescharacteristic
212C2×#10621900—21no—
213C2×#10621900C2311yescharacteristic
214C2×#10621900C2311yescharacteristic
215C2×Q8×D43C2311yescharacteristic
216C22×D172—21no—
217C22×D172C2311yescharacteristic
218C22×C22⋊D43—21no—
219C22×C22⋊D43—21no—
220C22×C22⋊D43—21no—
221C22×C22⋊D43—21no—
222C2×D4×D43—21no—
223C2×D4×D43—21no—
224C2×D4×D43—21no—
225C2×D4×D43—21no—
226C2×D4×D43—21no—
227C2×D4×D43—21no—
228C2×D4×D43—21no—
229C2×D4×D43C2311yescharacteristic
230C2×D4×D43C2311yescharacteristic
231C2×D4×D43C2311yescharacteristic
232C2×D4×D43C2311yescharacteristic
233C2×D4×D43C2311yescharacteristic
234#13063357—42no—
235#13063354—42no—
236#13063352—42no—
237#13063349—42no—
238C2×Dic172C2311yescharacteristic
239C2×#10621885C2311yescharacteristic
240C2×#10621885C2311yescharacteristic
241C2×#10621873C2311yescharacteristic
242C2×#10621873C2311yescharacteristic
243C2×#10621873C2311yescharacteristic
244C2×#10621873C2311yescharacteristic
245C2×#10621883C2311yescharacteristic
246C2×#10621883C2311yescharacteristic
247C2×#10621883C2311yescharacteristic
248C2×#10621883C2311yescharacteristic
249C2×#10621884C2311yescharacteristic
250C2×#10621884C2311yescharacteristic
251C2×#10621884C2311yescharacteristic
252C2×#10621884C2311yescharacteristic
253SD16×D43—42no—
254SD16×D43—42no—
255C2×D344C2311yescharacteristic
256C2×D344C2311yescharacteristic
257C2×D344C2311yescharacteristic
258C2×#10621882C2311yescharacteristic
259C2×#10621882C2311yescharacteristic
260C2×#10621882C2311yescharacteristic
261C2×#10621882C2311yescharacteristic
262C2×#10621882C2311yescharacteristic
263C2×#10621882C2311yescharacteristic
264D8×D43—42no—
265D8×D43—42no—
266C2×#10621872C2311yescharacteristic
267C2×#10621872C2311yescharacteristic
268C2×C8×D43C2311yescharacteristic
269C2×C8×D43C2311yescharacteristic
270#13063325C2311yescharacteristic
271#13063324—21no—
272#13063323C2311yescharacteristic
273#13063322C2311yescharacteristic
274#13063322C2311yescharacteristic
275#13063321—21no—
276#13063321—21no—
277#13063321—21no—
278#13063321—21no—
279#13063321—21no—
280#13063321—21no—
281#13063321—21no—
282#13063321C2311yescharacteristic
283#13063321C2311yescharacteristic
284#13063321C2311yescharacteristic
285#13063321C2311yescharacteristic
286#13063321C2311yescharacteristic
287#13063320—21no—
288#13063320—21no—
289#13063320—21no—
290#13063320—21no—
291#13063318—21no—
292#13063318—21no—
293#13063318—21no—
294#13063316C2311yescharacteristic
295#13063316C2311yescharacteristic
296#13063314—21no—
297#13063314C2311yescharacteristic
298#13063314C2311yescharacteristic
299#13063313C2311yescharacteristic
300#13063313C2311yescharacteristic
301#13063313C2311yescharacteristic
302#13063312C2311yescharacteristic
303#13063312C2311yescharacteristic
304#13063311—21no—
305#13063311—21no—
306#13063311—21no—
307#13063311—21no—
308#13063311—21no—
309#13063311—21no—
310#13063310—21no—
311#13063310—21no—
312#13063310—21no—
313#13063309—21no—
314#13063309—21no—
315#13063307—21no—
316#13063307—21no—
317#13063307—21no—
318#13063306—21no—
319#13063305—21no—
320#13063305C2311yescharacteristic
321#13063304C2311yescharacteristic
322#13063303—21no—
323#13063302—21no—
324#13063301—21no—
325#13063301—21no—
326#13063301C2311yescharacteristic
327#13063300—21no—
328#13063300—21no—
329#13063300C2311yescharacteristic
330#13063299C2311yescharacteristic
331#13063298—21no—
332#13063298—21no—
333#13063298—21no—
334#13063298—21no—
335#13063298—21no—
336#13063298—21no—
337#13063298—21no—
338#13063298—21no—
339#13063297—21no—
340#13063297—21no—
341#13063297—21no—
342#13063297—21no—
343#13063297—21no—
344#13063297—21no—
345#13063296C2311yescharacteristic
346#13063295—21no—
347#13063295—21no—
348#13063295—21no—
349#13063295—21no—
350#13063295—21no—
351#13063295—21no—
352#13063295—21no—
353#13063293—21no—
354#13063293—21no—
355#13063293—21no—
356#13063293—21no—
357#13063293—21no—
358Q8×Dic43—21no—
359Q8×Dic43C2311yescharacteristic
360C4×Dic86—21no—
361C4×Dic86C2311yescharacteristic
362#13063290—21no—
363#13063290—21no—
364#13063290D411yescharacteristic
365#13063290D411yescharacteristic
366#13063290C2311yescharacteristic
367C4×D172—21no—
368C4×D172C2311yescharacteristic
369D4×Dic43—21no—
370D4×Dic43C2311yescharacteristic
371#13063287D411yescharacteristic
372#13063287D411yescharacteristic
373#13063287C2311yescharacteristic
374C4×C22⋊D43—21no—
375C4×C22⋊D43—21no—
376C4×C22⋊D43—21no—
377C4×C22⋊D43—21no—
378(C22⋊D43)⋊C4—21no—
379(C22⋊D43)⋊C4—21no—
380(C22⋊D43)⋊C4—21no—
381(C22⋊D43)⋊C4—21no—
382(C22⋊D43)⋊C4—21no—
383(C22⋊D43)⋊C4—21no—
384(C22⋊D43)⋊C4D411yescharacteristic
385(C22⋊D43)⋊C4D411yescharacteristic
386(C22⋊D43)⋊C4D411yescharacteristic
387(C22⋊D43)⋊C4D411yescharacteristic
388#13063284—21no—
389#13063283—21no—
390#13063283—21no—
391#13063283C2311yescharacteristic
392#13063283C2311yescharacteristic
393#13063282—21no—
394#13063282—21no—
395#13063282C2311yescharacteristic
396#13063282C2311yescharacteristic
397#13063281—21no—
398C2×(C2×D43)⋊C4—21no—
399C22⋊C4×D43—21no—
400C22⋊C4×D43—21no—
401C22⋊C4×D43—21no—
402C2×C4×Dic43C2311yescharacteristic
403C42×D43C2311yescharacteristic
404C42×D43C2311yescharacteristic
405C4⋊(C43⋊C8)C2311yescharacteristic
406C4⋊(C43⋊C8)C2311yescharacteristic
407Dic43⋊C8C2311yescharacteristic
408Dic43⋊C8C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441#13063236C2311yescharacteristic
442#13063235C2311yescharacteristic
443#13063235C2311yescharacteristic
444#13063235C2311yescharacteristic
445#13063235C2311yescharacteristic
446C4×C43⋊C8C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C22×D4×C43C2311yescharacteristic
449C2×Q16×C43C2311yescharacteristic
450C2×SD16×C43C2311yescharacteristic
451C2×SD16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic
453C2×SD16×C43C2311yescharacteristic
454C2×D8×C43C2311yescharacteristic
455C2×D8×C43C2311yescharacteristic
456C2×D8×C43C2311yescharacteristic
457C4⋊Q8×C43C2311yescharacteristic
458#127×C43C2311yescharacteristic
459#127×C43C2311yescharacteristic
460#126×C43—21no—
461#124×C43—21no—
462#124×C43C2311yescharacteristic
463#124×C43C2311yescharacteristic
464#124×C43C2311yescharacteristic
465#123×C43—21no—
466C22⋊Q8×C43—21no—
467C22⋊Q8×C43C2311yescharacteristic
468#121×C43—21no—
469#121×C43—21no—
470#121×C43C2311yescharacteristic
471#120×C43—21no—
472#120×C43—21no—
473C4×Q8×C43C2311yescharacteristic
474C4×D4×C43C2311yescharacteristic
475#117×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477C4⋊C8×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488#97×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C24×C43—21no—
491C23×D43—21no—
492C23×D43—21no—
493C23×D43—21no—
494C23×D43—21no—
495C23×D43—21no—
496C23×D43—21no—
497#41×C43—41no—
498#41×C43—41no—
499C2×Q8×C43—21no—
500C2×Q8×C43C2411yescharacteristic
501C2×Q8×C43C2411yescharacteristic
502C2×D4×C43—21no—
503C2×D4×C43—21no—
504C2×D4×C43—21no—
505C2×D4×C43—21no—
506C2×D4×C43—21no—
507C2×D4×C43—21no—
508C2×D4×C43—21no—
509C2×D4×C43—41no—
510C2×D4×C43—41no—
511C2×D4×C43C2411yescharacteristic
512C2×D4×C43C2411yescharacteristic
513C2×D4×C43C2411yescharacteristic
514C2×D4×C43C2411yescharacteristic
515C22×C4×C43—21no—
516C22×C4×C43—21no—
517C22×C4×C43C2411yescharacteristic
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
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⋊D43—21no—
529C2×C22⋊D43—21no—
530C2×C22⋊D43—21no—
531C2×C22⋊D43—21no—
532C2×C22⋊D43—21no—
533C2×C22⋊D43—21no—
534C2×C22⋊D43—21no—
535C2×C22⋊D43—21no—
536C2×C22⋊D43—21no—
537C2×C22⋊D43—21no—
538C2×C22⋊D43—44no—
539C2×C22⋊D43—44no—
540C2×C22⋊D43—82no—
541C2×C22⋊D43—82no—
542C2×C22⋊D43C2×D411yescharacteristic
543C2×C22⋊D43C2×D411yescharacteristic
544C22×Dic43—21no—
545C22×Dic43—21no—
546C22×Dic43—21no—
547C22×Dic43C2×D411yescharacteristic
548C22×Dic43C2×D411yescharacteristic
549#10621902—22no—
550#10621902—22no—
551#10621902—41no—
552#10621902—41no—
553Q8×D43—22no—
554Q8×D43—22no—
555#10621900—22no—
556#10621900—22no—
557#10621900—41no—
558#10621900—41no—
559#10621900—44no—
560D4×D43—22no—
561D4×D43—22no—
562D4×D43—22no—
563D4×D43—22no—
564D4×D43—22no—
565D4×D43—22no—
566D4×D43—41no—
567D4×D43—41no—
568D4×D43—41no—
569D4×D43—41no—
570D4×D43—44no—
571D4×D43—44no—
572D4×D43—44no—
573D4×D43—82no—
574D4×D43—82no—
575D4×D43—82no—
576D4×D43—82no—
577#10621898—22no—
578#10621898—22no—
579#10621898—41no—
580#10621898—41no—
581#10621898—44no—
582C2×D172—21no—
583C2×D172—21no—
584C2×D172—21no—
585C2×D172—21no—
586C2×D172—21no—
587C2×D172—21no—
588C2×D172—21no—
589C2×D172—21no—
590C2×D172—41no—
591C2×D172—41no—
592C2×D172—44no—
593C2×D172C2×D411yescharacteristic
594C2×D172C2411yescharacteristic
595C2×D172C2411yescharacteristic
596C2×D172C2411yescharacteristic
597C2×D172C2411yescharacteristic
598C2×C4×D43—21no—
599C2×C4×D43—21no—
600C2×C4×D43—21no—
601C2×C4×D43—21no—
602C2×C4×D43—21no—
603C2×C4×D43—21no—
604C2×C4×D43C2×D411yescharacteristic
605C2×C4×D43C2×D411yescharacteristic
606C2×C4×D43C2×D411yescharacteristic
607C2×C4×D43C2×D411yescharacteristic
608C2×C4×D43C2411yescharacteristic
609C2×C4×D43C2411yescharacteristic
610C2×Dic86—21no—
611C2×Dic86—21no—
612C2×Dic86C2×D411yescharacteristic
613C2×Dic86C2411yescharacteristic
614C2×Dic86C2411yescharacteristic
615Q16×C43—41no—
616SD16×C43—41no—
617SD16×C43—41no—
618SD16×C43—41no—
619SD16×C43—41no—
620D8×C43—41no—
621D8×C43—41no—
622D8×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×C43C2×D411yescharacteristic
631C4⋊C4×C43C2×D411yescharacteristic
632C4⋊C4×C43C2411yescharacteristic
633C4⋊C4×C43C2411yescharacteristic
634C22⋊C4×C43—21no—
635C22⋊C4×C43—21no—
636C22⋊C4×C43—21no—
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×C43C2411yescharacteristic
647C42×C43C2411yescharacteristic
648C22⋊Dic43—21no—
649C22⋊Dic43—21no—
650C22⋊Dic43—21no—
651C22⋊Dic43—21no—
652C22⋊Dic43—21no—
653C22⋊Dic43—21no—
654C22⋊Dic43—21no—
655#10621885—41no—
656#10621885—41no—
657#10621884—41no—
658#10621884—41no—
659#10621884—41no—
660#10621884—41no—
661#10621883—41no—
662#10621883—41no—
663#10621883—41no—
664#10621883—41no—
665#10621882—41no—
666#10621882—41no—
667#10621882—41no—
668#10621882—41no—
669#10621882—41no—
670#10621882—41no—
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)⋊C4C2×D411yescharacteristic
690(C2×D43)⋊C4C2×D411yescharacteristic
691(C2×D43)⋊C4C2×D411yescharacteristic
692(C2×D43)⋊C4C2×D411yescharacteristic
693C4⋊Dic43—21no—
694C4⋊Dic43—21no—
695C4⋊Dic43—21no—
696C4⋊Dic43—21no—
697C4⋊Dic43—21no—
698C4⋊Dic43C2411yescharacteristic
699C4⋊Dic43C2411yescharacteristic
700Dic43⋊C4—21no—
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4—21no—
707Dic43⋊C4—21no—
708Dic43⋊C4C2×D411yescharacteristic
709Dic43⋊C4C2×D411yescharacteristic
710Dic43⋊C4C2×D411yescharacteristic
711Dic43⋊C4C2×D411yescharacteristic
712C4×Dic43—21no—
713C4×Dic43—21no—
714C4×Dic43—21no—
715C4×Dic43—21no—
716C4×Dic43—21no—
717C4×Dic43C2×D411yescharacteristic
718C4×Dic43C2×D411yescharacteristic
719C4×Dic43C2×D411yescharacteristic
720C4×Dic43C2×D411yescharacteristic
721C4×Dic43C2×D411yescharacteristic
722C4×Dic43C2×D411yescharacteristic
723C4×Dic43C2411yescharacteristic
724C4×Dic43C2411yescharacteristic
725C2×C43⋊C8C2411yescharacteristic
726C2×C43⋊C8C2411yescharacteristic
727C2×C43⋊C8C2411yescharacteristic
728C2×C43⋊C8C2411yescharacteristic
729Dic172—41no—
730D344—41no—
731D344—41no—
732D344—41no—
733#10621873—41no—
734#10621873—41no—
735#10621873—41no—
736#10621873—41no—
737#10621872—22no—
738#10621872—22no—
739C8×D43—22no—
740C8×D43—22no—
741C23×C43—21no—
742C23×C43—21no—
743C23×C43—21no—
744C23×C43—21no—
745C23×C43—42no—
746C23×C43—81no—
747C23×C43—81no—
748C23×C43C22×D411yescharacteristic
749C22×D43—21no—
750C22×D43—21no—
751C22×D43—21no—
752C22×D43—21no—
753C22×D43—42no—
754C22×D43—42no—
755C22×D43—42no—
756C22×D43—42no—
757C22×D43—42no—
758C22×D43—42no—
759C22×D43—81no—
760C22×D43—81no—
761C22×D43—81no—
762C22×D43—81no—
763C22×D43—81no—
764C22×D43—81no—
765C22×D43—81no—
766C22×D43—81no—
767C22×D43—81no—
768C22×D43—81no—
769C22×D43—81no—
770C22×D43—81no—
771C22×D43C22×D411yescharacteristic
772C22×D43C22×D411yescharacteristic
773Q8×C43—21no—
774Q8×C43—21no—
775Q8×C43—21no—
776Q8×C43—21no—
777Q8×C43—81no—
778D4×C43—21no—
779D4×C43—21no—
780D4×C43—21no—
781D4×C43—21no—
782D4×C43—21no—
783D4×C43—21no—
784D4×C43—21no—
785D4×C43—21no—
786D4×C43—42no—
787D4×C43—42no—
788D4×C43—81no—
789D4×C43—81no—
790D4×C43—81no—
791D4×C43—81no—
792D4×C43—81no—
793C2×C4×C43—21no—
794C2×C4×C43—21no—
795C2×C4×C43—21no—
796C2×C4×C43—21no—
797C2×C4×C43—21no—
798C2×C4×C43—21no—
799C2×C4×C43—42no—
800C2×C4×C43—81no—
801C2×C4×C43C22×D411yescharacteristic
802C2×C4×C43C22×D411yescharacteristic
803C2×C4×C43C22×D411yescharacteristic
804C2×C4×C43C22×D411yescharacteristic
805C2×C4×C43C22×D411yescharacteristic
806C2×C4×C43C2511yescharacteristic
807C22⋊D43—22no—
808C22⋊D43—22no—
809C22⋊D43—42no—
810C22⋊D43—42no—
811C22⋊D43—42no—
812C22⋊D43—42no—
813C22⋊D43—42no—
814C22⋊D43—42no—
815C22⋊D43—42no—
816C22⋊D43—42no—
817C22⋊D43—42no—
818C22⋊D43—42no—
819C22⋊D43—42no—
820C22⋊D43—42no—
821C22⋊D43—42no—
822C22⋊D43—42no—
823C22⋊D43—81no—
824C22⋊D43—81no—
825C22⋊D43—81no—
826C22⋊D43—81no—
827C22⋊D43—81no—
828C22⋊D43—81no—
829C2×Dic43—21no—
830C2×Dic43—21no—
831C2×Dic43—21no—
832C2×Dic43—21no—
833C2×Dic43—41no—
834C2×Dic43—41no—
835C2×Dic43—42no—
836C2×Dic43—42no—
837C2×Dic43—81no—
838C2×Dic43C22×D411yescharacteristic
839C2×Dic43C22×D411yescharacteristic
840C2×Dic43C22×D411yescharacteristic
841C2×Dic43C22×D411yescharacteristic
842C2×Dic43C22×D411yescharacteristic
843C2×Dic43C22×D411yescharacteristic
844D172—22no—
845D172—21no—
846D172—21no—
847D172—21no—
848D172—21no—
849D172—21no—
850D172—21no—
851D172—21no—
852D172—21no—
853D172—42no—
854D172—42no—
855D172—42no—
856D172—81no—
857D172—81no—
858D172—81no—
859D172—81no—
860D172—81no—
861C4×D43—21no—
862C4×D43—21no—
863C4×D43—41no—
864C4×D43—41no—
865C4×D43—41no—
866C4×D43—41no—
867C4×D43—42no—
868C4×D43—42no—
869C4×D43—42no—
870C4×D43—42no—
871C4×D43—81no—
872C4×D43—81no—
873C4×D43H(5,𝔽2)12yes—
874C4×D43H(5,𝔽2)12yes—
875Dic86—22no—
876Dic86—21no—
877Dic86—21no—
878Dic86—21no—
879Dic86—21no—
880Dic86—42no—
881Dic86—81no—
882C8×C43—21no—
883C8×C43—21no—
884C8×C43—21no—
885C8×C43—21no—
886C43⋊C8—21no—
887C43⋊C8—21no—
888C43⋊C8—21no—
889C43⋊C8—21no—
890#60827—431nomaximal, Sylow
891C22×C43—21no—
892C22×C43—21no—
893C22×C43—21no—
894C22×C43—41no—
895C22×C43—41no—
896C22×C43—41no—
897C22×C43—41no—
898C22×C43—41no—
899C22×C43—41no—
900C22×C43—41no—
901C22×C43—41no—
902C22×C43—41no—
903C22×C43—41no—
904C22×C43—41no—
905C22×C43—41no—
906C22×C43—162no—
907C22×C43C23×D411yescharacteristic
908C2×D43—21no—
909C2×D43—21no—
910C2×D43—21no—
911C2×D43—21no—
912C2×D43—21no—
913C2×D43—41no—
914C2×D43—41no—
915C2×D43—41no—
916C2×D43—41no—
917C2×D43—41no—
918C2×D43—41no—
919C2×D43—41no—
920C2×D43—41no—
921C2×D43—41no—
922C2×D43—41no—
923C2×D43—41no—
924C2×D43—41no—
925C2×D43—162no—
926C2×D43—162no—
927C2×D43—162no—
928C2×D43—162no—
929C2×D43—162no—
930C2×D43—162no—
931C2×D43#53512yes—
932C4×C43—21no—
933C4×C43—21no—
934C4×C43—21no—
935C4×C43—21no—
936C4×C43—21no—
937C4×C43—41no—
938C4×C43—41no—
939C4×C43—41no—
940C4×C43—41no—
941C4×C43C2×H(5,𝔽2)11yescharacteristic
942C4×C43C2×H(5,𝔽2)11yescharacteristic
943Dic43—21no—
944Dic43—21no—
945Dic43—21no—
946Dic43—21no—
947Dic43—21no—
948Dic43—41no—
949Dic43—41no—
950Dic43—41no—
951Dic43—41no—
952Dic43#53512yes—
953#3510—431no—
954#3498—431no—
955#3224—431no—
956#3224—431no—
957#3224—431no—
958#3224—431no—
959#3224—431no—
960#3224—431no—
961#3224—431no—
962#3224D4311yescharacteristic, complemented
963#3219—431no—
964#3219—431no—
965#3219—431no—
966#3219—431no—
967#3217—431no—
968#3217—431no—
969#3217—431no—
970#3217—431no—
971#3153—431no—
972C2×#496—431no—
973#3138—431no—
974#3135—431no—
975#3043—431no—
976#3043—431no—
977#3041—431no—
978#3041—431no—
979#3009—431no—
980#3009—431no—
981#3008—431no—
982#3008—431no—
983#2923—431no—
984C2×C43—41no—
985C2×C43—81no—
986C2×C43—81no—
987C2×C43—81no—
988C2×C43—81no—
989C2×C43C2×#53511yescharacteristic
990C2×C43#358511yescharacteristic
991C2×C43#358511yescharacteristic
992D43—22no—
993D43—41no—
994D43—81no—
995D43—81no—
996D43—81no—
997D43—81no—
998C2×H(5,𝔽2)—431no—
999C2×H(5,𝔽2)—431no—
1000C2×#137—431no—
1001C2×#137—431no—
1002C2×AGL(1,ℤ/8)—431no—
1003C2×AGL(1,ℤ/8)—431no—
1004C22×SD16—431no—
1005C22×SD16—431no—
1006C22×D8—431no—
1007C22×D8—431no—
1008#559—861no—
1009#559—861no—
1010#556—861no—
1011#556—861no—
1012#551—861no—
1013#551—861no—
1014#551—861no—
1015#551—861no—
1016#550—861no—
1017#550—861no—
1018D42—861no—
1019D42—861no—
1020D42—861no—
1021D42—861no—
1022D42—861no—
1023D42—861no—
1024#542—431no—
1025#542—431no—
1026#542—431no—
1027#542C2×D4311yescharacteristic, complemented
1028#536—431no—
1029#535—431no—
1030#535—431no—
1031#535—431no—
1032#535—431no—
1033#535—431no—
1034#535—431no—
1035#535C2×D4311yescharacteristic, complemented
1036#533—431no—
1037#532—431no—
1038#532—431no—
1039#532—431no—
1040C2×#127—431no—
1041C2×#127—431no—
1042C2×#127—431no—
1043#529—431no—
1044#529—431no—
1045#529—431no—
1046#529—431no—
1047C2×#124—431no—
1048#519—431no—
1049#518—431no—
1050C4×#41—431no—
1051#497—431no—
1052#497—431no—
1053#496—431no—
1054#496—431no—
1055#496—431no—
1056#496—431no—
1057#496—431no—
1058#496—431no—
1059#496—431no—
1060#496—431no—
1061#496—431no—
1062#496C2×D4311yescharacteristic, complemented
1063#495—431no—
1064#495—431no—
1065#495—431no—
1066#495C2×D4311yescharacteristic, complemented
1067#491—431no—
1068#491—431no—
1069#490—431no—
1070#490—431no—
1071#490—431no—
1072#490—431no—
1073#490—431no—
1074#490—431no—
1075#489—431no—
1076#489—431no—
1077#489—431no—
1078#489C2×D4311yescharacteristic, complemented
1079#486—431no—
1080#486—431no—
1081#486—431no—
1082#486C2×D4311yescharacteristic, complemented
1083#464—431no—
1084#464—431no—
1085#464—431no—
1086#464—431no—
1087#464—431no—
1088#464—431no—
1089#464—431no—
1090#464C2×D4311yescharacteristic, complemented
1091#463—431no—
1092#463—431no—
1093#463—431no—
1094#463—431no—
1095#463—431no—
1096#463—431no—
1097#463—431no—
1098#463C2×D4311yescharacteristic, complemented
1099#460—431no—
1100#460—431no—
1101#460—431no—
1102#460—431no—
1103#460—431no—
1104#460—431no—
1105#460—431no—
1106#460C2×D4311yescharacteristic, complemented
1107#459—431no—
1108#459—431no—
1109#459—431no—
1110#459—431no—
1111#459—431no—
1112#459—431no—
1113#459—431no—
1114#459C2×D4311yescharacteristic, complemented
1115#452—431no—
1116#452—431no—
1117#452—431no—
1118#452—431no—
1119#452—431no—
1120#452—431no—
1121#452—431no—
1122#452C2×D4311yescharacteristic, complemented
1123#450—431no—
1124#450—431no—
1125#450—431no—
1126#450—431no—
1127#450—431no—
1128#450—431no—
1129#450—431no—
1130#450C2×D4311yescharacteristic, complemented
1131#449—431no—
1132#449—431no—
1133#449—431no—
1134#449—431no—
1135#449—431no—
1136#449—431no—
1137#449—431no—
1138#449C2×D4311yescharacteristic, complemented
1139#447—431no—
1140#447—431no—
1141#447—431no—
1142#447—431no—
1143#447—431no—
1144#447—431no—
1145#447—431no—
1146#447C2×D4311yescharacteristic, complemented
1147#433—431no—
1148#433—431no—
1149#433—431no—
1150#433C2×D4311yescharacteristic, complemented
1151#432—431no—
1152#432—431no—
1153#432—431no—
1154#432—431no—
1155#424—431no—
1156#424—431no—
1157#418—431no—
1158#418—431no—
1159#418—431no—
1160#418—431no—
1161#416—431no—
1162#416—431no—
1163#416—431no—
1164#416—431no—
1165#408—431no—
1166#408—431no—
1167C4×M16—431no—
1168C2×#97—431no—
1169C43#6082711yescharacteristic, complemented, Sylow
1170H(5,𝔽2)—1722no—
1171H(5,𝔽2)—1722no—
1172H(5,𝔽2)—1722no—
1173H(5,𝔽2)—1722no—
1174C2×#41—431no—
1175C2×#41—431no—
1176C2×#41—431no—
1177C2×#41—431no—
1178C2×#41—431no—
1179C2×#41—431no—
1180C2×#41—861no—
1181C2×#41—861no—
1182C2×#41C22×D4311yescharacteristic
1183C22×Q8—431no—
1184C22×D4—431no—
1185C22×D4—431no—
1186C22×D4—431no—
1187C22×D4—431no—
1188C22×D4—431no—
1189C22×D4—431no—
1190C22×D4—861no—
1191C22×D4—861no—
1192C22×D4—861no—
1193C22×D4—861no—
1194C22×D4—861no—
1195C22×D4—861no—
1196C22×D4—861no—
1197C22×D4—861no—
1198C22×D4—861no—
1199C22×D4—861no—
1200C22×D4—861no—
1201C22×D4—861no—
1202C22×D4C22×D4311yescharacteristic
1203#137—1722no—
1204#137—1722no—
1205AGL(1,ℤ/8)—1722no—
1206AGL(1,ℤ/8)—1722no—
1207C2×Q16—431no—
1208C2×Q16—431no—
1209C2×Q16—431no—
1210C2×Q16C22×D4311yescharacteristic
1211C2×SD16—431no—
1212C2×SD16—431no—
1213C2×SD16—431no—
1214C2×SD16—431no—
1215C2×SD16—431no—
1216C2×SD16—431no—
1217C2×SD16—431no—
1218C2×SD16—431no—
1219C2×SD16—431no—
1220C2×SD16—431no—
1221C2×SD16—431no—
1222C2×SD16—431no—
1223C2×SD16—1722no—
1224C2×SD16—1722no—
1225C2×SD16C22×D4311yescharacteristic
1226C2×SD16C22×D4311yescharacteristic
1227C2×SD16C22×D4311yescharacteristic
1228C2×SD16C22×D4311yescharacteristic
1229C2×D8—431no—
1230C2×D8—431no—
1231C2×D8—431no—
1232C2×D8—431no—
1233C2×D8—431no—
1234C2×D8—431no—
1235C2×D8—431no—
1236C2×D8—431no—
1237C2×D8—431no—
1238C2×D8—1722no—
1239C2×D8—1722no—
1240C2×D8C22×D4311yescharacteristic
1241C2×D8C22×D4311yescharacteristic
1242C2×D8C22×D4311yescharacteristic
1243C2×M16—431no—
1244C2×M16—431no—
1245C22×C8—431no—
1246C22×C8—431no—
1247C4⋊Q8—431no—
1248C4⋊Q8—431no—
1249C4⋊Q8—861no—
1250C4⋊Q8C22×D4311yescharacteristic
1251#127—431no—
1252#127—431no—
1253#127—431no—
1254#127—431no—
1255#127—431no—
1256#127—431no—
1257#127—431no—
1258#127—861no—
1259#127—861no—
1260#127—861no—
1261#127—861no—
1262#127—861no—
1263#127—861no—
1264#127—861no—
1265#127C22×D4311yescharacteristic
1266#127C22×D4311yescharacteristic
1267#126—21no—
1268#126—861no—
1269#126—861no—
1270#126—861no—
1271#126—861no—
1272#126—861no—
1273#126—861no—
1274#126—861no—
1275#125—431no—
1276#125—431no—
1277#124—21no—
1278#124—431no—
1279#124—431no—
1280#124—431no—
1281#124—431no—
1282#124—431no—
1283#124—431no—
1284#124—431no—
1285#124—861no—
1286#124—861no—
1287#124—861no—
1288#124—861no—
1289#124—861no—
1290#124—861no—
1291#124—861no—
1292#124C22×D4311yescharacteristic
1293#124C22×D4311yescharacteristic
1294#124C22×D4311yescharacteristic
1295#123—21no—
1296#123—861no—
1297#123—861no—
1298#123—861no—
1299#123—861no—
1300#123—861no—
1301#123—861no—
1302#123—861no—
1303#123—861no—
1304#123—861no—
1305C22⋊Q8—21no—
1306C22⋊Q8—431no—
1307C22⋊Q8—431no—
1308C22⋊Q8—431no—
1309C22⋊Q8—861no—
1310C22⋊Q8—861no—
1311C22⋊Q8—861no—
1312C22⋊Q8—861no—
1313C22⋊Q8—861no—
1314C22⋊Q8C22×D4311yescharacteristic
1315#121—21no—
1316#121—21no—
1317#121—431no—
1318#121—431no—
1319#121—431no—
1320#121—861no—
1321#121—861no—
1322#121—861no—
1323#121—861no—
1324#121—861no—
1325#121—861no—
1326#121—861no—
1327#121—861no—
1328#121—861no—
1329#121—861no—
1330#121—861no—
1331#121—861no—
1332#121—861no—
1333#121—861no—
1334#121—861no—
1335#121—861no—
1336#121C22×D4311yescharacteristic
1337#120—21no—
1338#120—21no—
1339#120—861no—
1340#120—861no—
1341#120—861no—
1342#120—861no—
1343#120—861no—
1344#120—861no—
1345#120—861no—
1346#120—861no—
1347#120—861no—
1348#120—861no—
1349#120—861no—
1350#120—861no—
1351C4×Q8—431no—
1352C4×Q8—431no—
1353C4×Q8—431no—
1354C4×Q8—431no—
1355C4×Q8—431no—
1356C4×Q8—861no—
1357C4×Q8—861no—
1358C4×Q8—861no—
1359C4×Q8—861no—
1360C4×Q8C22×D4311yescharacteristic
1361C4×D4—431no—
1362C4×D4—431no—
1363C4×D4—431no—
1364C4×D4—431no—
1365C4×D4—431no—
1366C4×D4—431no—
1367C4×D4—431no—
1368C4×D4—431no—
1369C4×D4—431no—
1370C4×D4—861no—
1371C4×D4—861no—
1372C4×D4—861no—
1373C4×D4—861no—
1374C4×D4—861no—
1375C4×D4—861no—
1376C4×D4—861no—
1377C4×D4—861no—
1378C4×D4—861no—
1379C4×D4—861no—
1380C4×D4—861no—
1381C4×D4—861no—
1382C4×D4C22×D4311yescharacteristic
1383#117—431no—
1384#117—431no—
1385#117—431no—
1386#117—431no—
1387#117—861no—
1388#117—861no—
1389#117—861no—
1390#117—861no—
1391#117—861no—
1392#117—861no—
1393#117C22×D4311yescharacteristic
1394C2×C22⋊C4—861no—
1395C2×C22⋊C4—861no—
1396C2×C22⋊C4—861no—
1397C2×C22⋊C4—861no—
1398C2×C42—431no—
1399C2×C42—431no—
1400C2×C42—431no—
1401C4⋊C8—431no—
1402C4⋊C8—431no—
1403C4⋊C8—431no—
1404C4⋊C8—431no—
1405C4⋊C8—431no—
1406C4⋊C8—431no—
1407C4⋊C8C22×D4311yescharacteristic
1408C4⋊C8C22×D4311yescharacteristic
1409#103—431no—
1410#103—431no—
1411#103—431no—
1412#103—431no—
1413#103—431no—
1414#103—431no—
1415#103C22×D4311yescharacteristic
1416#103C22×D4311yescharacteristic
1417#102—431no—
1418#102—431no—
1419#102—431no—
1420#102—431no—
1421#102—431no—
1422#102—431no—
1423#102—431no—
1424#102—431no—
1425#102—431no—
1426#102—431no—
1427#102—431no—
1428#102—431no—
1429#102—431no—
1430#102—431no—
1431#102—431no—
1432#102—431no—
1433#102—431no—
1434#102—431no—
1435#102C22×D4311yescharacteristic
1436#102C22×D4311yescharacteristic
1437#102C22×D4311yescharacteristic
1438#102C22×D4311yescharacteristic
1439#102C22×D4311yescharacteristic
1440#102C22×D4311yescharacteristic
1441C22⋊C8—431no—
1442C22⋊C8—431no—
1443C22⋊C8—431no—
1444C22⋊C8—431no—
1445C22⋊C8—431no—
1446C22⋊C8—431no—
1447C22⋊C8C22×D4311yescharacteristic
1448C22⋊C8C22×D4311yescharacteristic
1449#97—431no—
1450#97—431no—
1451#97—431no—
1452#97—431no—
1453#97—431no—
1454#97C22×D4311yescharacteristic
1455C4×C8—431no—
1456C4×C8C22×D4311yescharacteristic
1457C24—21no—
1458C24—861no—
1459C24—861no—
1460C24—861no—
1461C24—861no—
1462C24—861no—
1463C24—861no—
1464#41—41no—
1465#41—41no—
1466#41—862no—
1467#41—862no—
1468#41—862no—
1469#41—862no—
1470#41—862no—
1471#41—862no—
1472#41—1721no—
1473#41—1721no—
1474#41—1724no—
1475#41—1721no—
1476#41—1721no—
1477#41—1721no—
1478#41—1721no—
1479#41—1724no—
1480C2×Q8—21no—
1481C2×Q8—431no—
1482C2×Q8—431no—
1483C2×Q8—431no—
1484C2×Q8—861no—
1485C2×Q8—862no—
1486C2×Q8—862no—
1487C2×Q8—861no—
1488C2×Q8C23×D4311yescharacteristic
1489C2×Q8C23×D4311yescharacteristic
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—41no—
1498C2×D4—41no—
1499C2×D4—431no—
1500C2×D4—431no—
1501C2×D4—431no—
1502C2×D4—431no—
1503C2×D4—431no—
1504C2×D4—431no—
1505C2×D4—431no—
1506C2×D4—861no—
1507C2×D4—861no—
1508C2×D4—861no—
1509C2×D4—862no—
1510C2×D4—862no—
1511C2×D4—862no—
1512C2×D4—862no—
1513C2×D4—862no—
1514C2×D4—862no—
1515C2×D4—861no—
1516C2×D4—861no—
1517C2×D4—861no—
1518C2×D4—861no—
1519C2×D4—861no—
1520C2×D4—861no—
1521C2×D4—861no—
1522C2×D4—861no—
1523C2×D4—861no—
1524C2×D4—861no—
1525C2×D4—861no—
1526C2×D4—861no—
1527C2×D4—861no—
1528C2×D4—861no—
1529C2×D4—861no—
1530C2×D4—861no—
1531C2×D4—861no—
1532C2×D4—861no—
1533C2×D4—861no—
1534C2×D4—861no—
1535C2×D4—861no—
1536C2×D4—861no—
1537C2×D4—861no—
1538C2×D4—861no—
1539C2×D4—861no—
1540C2×D4—3442no—
1541C2×D4—3442no—
1542C2×D4—3442no—
1543C2×D4—3442no—
1544C2×D4—3442no—
1545C2×D4—3442no—
1546C2×D4—1721no—
1547C2×D4—1721no—
1548C2×D4—1724no—
1549C2×D4—1721no—
1550C2×D4—1721no—
1551C2×D4—1721no—
1552C2×D4—1721no—
1553C2×D4—1724no—
1554C2×D4—1724no—
1555C2×D4—1724no—
1556C2×D4—1724no—
1557C2×D4—1724no—
1558C2×D4C23×D4311yescharacteristic
1559C2×D4C23×D4311yescharacteristic
1560C2×D4C23×D4311yescharacteristic
1561C2×D4C23×D4311yescharacteristic
1562C22×C4—21no—
1563C22×C4—21no—
1564C22×C4—431no—
1565C22×C4—431no—
1566C22×C4—431no—
1567C22×C4—431no—
1568C22×C4—431no—
1569C22×C4—431no—
1570C22×C4—431no—
1571C22×C4—431no—
1572C22×C4—861no—
1573C22×C4—861no—
1574C22×C4—861no—
1575C22×C4—861no—
1576C22×C4—861no—
1577C22×C4—861no—
1578C22×C4—861no—
1579C22×C4—861no—
1580C22×C4—861no—
1581C22×C4C23×D4311yescharacteristic
1582Q16—41no—
1583Q16—1721no—
1584Q16—1721no—
1585Q16—1721no—
1586SD16—41no—
1587SD16—41no—
1588SD16—41no—
1589SD16—41no—
1590SD16—1721no—
1591SD16—1721no—
1592SD16—1721no—
1593SD16—1721no—
1594SD16—1721no—
1595SD16—1721no—
1596SD16—1721no—
1597SD16—1721no—
1598SD16—1721no—
1599SD16—1721no—
1600SD16—1721no—
1601SD16—1721no—
1602D8—41no—
1603D8—41no—
1604D8—41no—
1605D8—1721no—
1606D8—1721no—
1607D8—1721no—
1608D8—1721no—
1609D8—1721no—
1610D8—1721no—
1611D8—1721no—
1612D8—1721no—
1613D8—1721no—
1614M16—862no—
1615M16—862no—
1616C2×C8—431no—
1617C2×C8—431no—
1618C2×C8—431no—
1619C2×C8—431no—
1620C2×C8—862no—
1621C2×C8—862no—
1622C2×C8C23×D4311yescharacteristic
1623C2×C8C23×D4311yescharacteristic
1624C2×C8C23×D4311yescharacteristic
1625C2×C8C23×D4311yescharacteristic
1626C4⋊C4—21no—
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—431no—
1630C4⋊C4—431no—
1631C4⋊C4—431no—
1632C4⋊C4—431no—
1633C4⋊C4—431no—
1634C4⋊C4—431no—
1635C4⋊C4—861no—
1636C4⋊C4—861no—
1637C4⋊C4—861no—
1638C4⋊C4—861no—
1639C4⋊C4—861no—
1640C4⋊C4—861no—
1641C4⋊C4—861no—
1642C4⋊C4—861no—
1643C4⋊C4—861no—
1644C4⋊C4—861no—
1645C4⋊C4—861no—
1646C4⋊C4—861no—
1647C4⋊C4—861no—
1648C4⋊C4D4×D4311yescharacteristic
1649C4⋊C4D4×D4311yescharacteristic
1650C4⋊C4C23×D4311yescharacteristic
1651C4⋊C4C23×D4311yescharacteristic
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—431no—
1662C22⋊C4—431no—
1663C22⋊C4—431no—
1664C22⋊C4—431no—
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⋊C4—861no—
1677C22⋊C4—861no—
1678C22⋊C4—861no—
1679C22⋊C4—861no—
1680C22⋊C4—861no—
1681C22⋊C4—861no—
1682C22⋊C4—861no—
1683C22⋊C4—861no—
1684C22⋊C4—861no—
1685C22⋊C4—861no—
1686C22⋊C4—861no—
1687C22⋊C4—861no—
1688C22⋊C4—861no—
1689C22⋊C4—861no—
1690C22⋊C4D4×D4311yescharacteristic
1691C22⋊C4D4×D4311yescharacteristic
1692C42—21no—
1693C42—431no—
1694C42—431no—
1695C42—431no—
1696C42—431no—
1697C42—431no—
1698C42—431no—
1699C42—431no—
1700C42—431no—
1701C42—861no—
1702C42—861no—
1703C42—861no—
1704C42—861no—
1705C42—861no—
1706C42C23×D4311yescharacteristic
1707C42C23×D4311yescharacteristic
1708C23—21no—
1709C23—21no—
1710C23—21no—
1711C23—21no—
1712C23—42no—
1713C23—81no—
1714C23—81no—
1715C23—431no—
1716C23—431no—
1717C23—861no—
1718C23—861no—
1719C23—861no—
1720C23—861no—
1721C23—3441no—
1722C23—3441no—
1723C23—3441no—
1724C23—3441no—
1725C23—3441no—
1726C23—3441no—
1727C23—3441no—
1728C23—3441no—
1729C23—3441no—
1730C23—3441no—
1731C23—3441no—
1732C23—3441no—
1733C23—1722no—
1734C23—1722no—
1735C23—1722no—
1736C23—1722no—
1737C23—1722no—
1738C23—1722no—
1739C23C2×D4×D4311yescharacteristic
1740Q8—21no—
1741Q8—21no—
1742Q8—21no—
1743Q8—21no—
1744Q8—81no—
1745Q8—862no—
1746Q8—861no—
1747Q8—861no—
1748Q8—861no—
1749Q8—861no—
1750Q8—3441no—
1751Q8—1722no—
1752D4—21no—
1753D4—21no—
1754D4—21no—
1755D4—21no—
1756D4—21no—
1757D4—21no—
1758D4—21no—
1759D4—21no—
1760D4—42no—
1761D4—42no—
1762D4—81no—
1763D4—81no—
1764D4—81no—
1765D4—81no—
1766D4—81no—
1767D4—862no—
1768D4—862no—
1769D4—862no—
1770D4—861no—
1771D4—861no—
1772D4—861no—
1773D4—861no—
1774D4—861no—
1775D4—861no—
1776D4—861no—
1777D4—861no—
1778D4—3441no—
1779D4—3441no—
1780D4—3441no—
1781D4—3441no—
1782D4—3441no—
1783D4—3441no—
1784D4—3441no—
1785D4—3441no—
1786D4—3441no—
1787D4—3441no—
1788D4—3441no—
1789D4—1722no—
1790D4—1722no—
1791D4—1722no—
1792D4—1722no—
1793D4—1722no—
1794D4—1722no—
1795D4—1722no—
1796D4—1722no—
1797D4—1722no—
1798D4—1722no—
1799D4—1722no—
1800D4—1722no—
1801D4—1722no—
1802D4—1722no—
1803D4—1722no—
1804D4—1722no—
1805D4—1722no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—42no—
1813C2×C4—81no—
1814C2×C4—431no—
1815C2×C4—432no—
1816C2×C4—432no—
1817C2×C4—431no—
1818C2×C4—431no—
1819C2×C4—431no—
1820C2×C4—431no—
1821C2×C4—431no—
1822C2×C4—861no—
1823C2×C4—861no—
1824C2×C4—861no—
1825C2×C4—861no—
1826C2×C4—861no—
1827C2×C4—861no—
1828C2×C4—3441no—
1829C2×C4—3441no—
1830C2×C4—3441no—
1831C2×C4—1721no—
1832C2×C4—1721no—
1833C2×C4—1721no—
1834C2×C4—1721no—
1835C2×C4—1722no—
1836C2×C4—1722no—
1837C2×C4—1722no—
1838C2×C4—1722no—
1839C2×C4—1722no—
1840C2×C4—1721no—
1841C2×C4—1721no—
1842C2×C4—1722no—
1843C2×C4C2×D4×D4311yescharacteristic
1844C2×C4C2×D4×D4311yescharacteristic
1845C2×C4C2×D4×D4311yescharacteristic
1846C2×C4C2×D4×D4311yescharacteristic
1847C2×C4C2×D4×D4311yescharacteristic
1848C2×C4C24×D4311yescharacteristic
1849C8—21no—
1850C8—21no—
1851C8—21no—
1852C8—21no—
1853C8—861no—
1854C8—861no—
1855C8—861no—
1856C8—861no—
1857C22—21no—
1858C22—21no—
1859C22—21no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—162no—
1873C22—432no—
1874C22—861no—
1875C22—861no—
1876C22—861no—
1877C22—861no—
1878C22—861no—
1879C22—1721no—
1880C22—1721no—
1881C22—1721no—
1882C22—1721no—
1883C22—1721no—
1884C22—1721no—
1885C22—1721no—
1886C22—1721no—
1887C22—1721no—
1888C22—1721no—
1889C22—1721no—
1890C22—1721no—
1891C22—6882no—
1892C22—6882no—
1893C22—6882no—
1894C22—6882no—
1895C22—6882no—
1896C22—6882no—
1897C22C22×D4×D4311yescharacteristic
1898C4—21no—
1899C4—21no—
1900C4—21no—
1901C4—21no—
1902C4—21no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—432no—
1908C4—861no—
1909C4—861no—
1910C4—861no—
1911C4—861no—
1912C4—861no—
1913C4—1721no—
1914C4—1721no—
1915C4—1721no—
1916C4—1721no—
1917C4H(5,𝔽2)×D4311yescharacteristic
1918C4H(5,𝔽2)×D4311yescharacteristic
1919C2—41no—
1920C2—81no—
1921C2—81no—
1922C2—81no—
1923C2—81no—
1924C2—862no—
1925C2—3441no—
1926C2—3441no—
1927C2—3441no—
1928C2—3441no—
1929C2—1721no—
1930C2#535×D4311yescharacteristic
1931C2#1914937011yescharacteristic
1932C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3224C2
socleC22×C43C23×D4
hypercenter#3224D43
hypocenterC43#60827
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #19148487C2semidirect
2. #19148370C2semidirect
3. #19145692C2semidirect
4. #19145691C2semidirect
5. #19145690C2semidirect
6. #19145689C2semidirect
7. #19145684C2semidirect
8. #19145683C2semidirect
9. #19145682C2semidirect
10. #19145637C2semidirect
11. #19145636C2semidirect
12. #19145631C2semidirect
13. #19145630C2semidirect
14. #19145617C2semidirect
15. #19145616C2semidirect
16. #19145612C2semidirect
17. #19145611C2semidirect
18. #19145056C2semidirect
19. #496×D43C2semidirect
20. #19144966C2semidirect
21. #19144937C2semidirect
22. #19144114C2semidirect
23. #19144111C2semidirect
24. #19144096C2semidirect
25. #19144093C2semidirect
26. #19143869C2semidirect
27. #19143867C2semidirect
28. #19143860C2semidirect
29. #19143858C2semidirect
30. #19143243C2semidirect
31. C43×#3224C2semidirect
34. C2×#13063357C22semidirect
35. C2×#13063354C22semidirect
36. C2×#13063352C22semidirect
37. C2×#13063349C22semidirect
38. C2×SD16×D43C22semidirect
39. C2×SD16×D43C22semidirect
40. C2×D8×D43C22semidirect
41. C2×D8×D43C22semidirect
58. #14583523C22semidirect
59. #14583520C22semidirect
60. #14583518C22semidirect
62. #14583468C22semidirect
64. #14583467C22semidirect
67. #14583462C22semidirect
68. #14583454C22semidirect
70. #14583448C22semidirect
71. #14583445C22semidirect
72. C2×#13063321C22semidirect
74. #127×D43C22semidirect
75. #14583436C22semidirect
76. #14583435C22semidirect
77. #14583431C22semidirect
78. #14583430C22semidirect
79. #124×D43C22semidirect
80. #14583375C22semidirect
81. #14583371C22semidirect
83. #14583292C22semidirect
84. #14583290C22semidirect
85. #14583289C22semidirect
86. #14583288C22semidirect
87. #14583287C22semidirect
88. #14583287C22semidirect
89. #14583287C22semidirect
90. #14583286C22semidirect
91. #14583285C22semidirect
92. #14583285C22semidirect
93. #14583285C22semidirect
94. #14583283C22semidirect
95. #14583281C22semidirect
96. #14583281C22semidirect
97. #14583266C22semidirect
98. #14583266C22semidirect
99. #14583262C22semidirect
100. #14583262C22semidirect
101. #14583262C22semidirect
102. #14583262C22semidirect
103. #14583262C22semidirect
104. #14583262C22semidirect
105. #14583261C22semidirect
106. #14583259C22semidirect
107. #14583258C22semidirect
108. #14583247C22semidirect
109. #14583246C22semidirect
110. #14583245C22semidirect
111. #14583124C22semidirect
112. #14583123C22semidirect
113. #14583122C22semidirect
114. #14583121C22semidirect
115. #14583120C22semidirect
116. #14583119C22semidirect
117. #14583118C22semidirect
118. #14583117C22semidirect
119. #14583116C22semidirect
120. #14583115C22semidirect
121. #14583114C22semidirect
122. #14583113C22semidirect
123. #14583112C22semidirect
124. #14583111C22semidirect
125. #14583100C22semidirect
126. #14583099C22semidirect
127. #14583098C22semidirect
128. #14583098C22semidirect
129. #14583097C22semidirect
130. #14583097C22semidirect
131. #14583096C22semidirect
132. #14583095C22semidirect
133. #14583094C22semidirect
134. #14583093C22semidirect
135. #14583093C22semidirect
136. #14583092C22semidirect
137. #14583092C22semidirect
138. #14583091C22semidirect
139. #14583064C22semidirect
140. #14583063C22semidirect
141. #14583062C22semidirect
142. #14583061C22semidirect
143. #14583060C22semidirect
144. #14583059C22semidirect
145. #14583058C22semidirect
146. #14583052C22semidirect
147. #14583051C22semidirect
148. #14583051C22semidirect
149. #14583050C22semidirect
150. #14583049C22semidirect
151. #14583048C22semidirect
152. #14583048C22semidirect
153. #14583047C22semidirect
154. #14583046C22semidirect
155. #14583045C22semidirect
156. #14583044C22semidirect
157. #14583043C22semidirect
158. #14583042C22semidirect
159. #14583041C22semidirect
160. #14583035C22semidirect
161. #14583034C22semidirect
162. #14583034C22semidirect
163. #14583033C22semidirect
164. #14583032C22semidirect
165. #14583031C22semidirect
166. #14583031C22semidirect
167. #14582961C22semidirect
168. #14582960C22semidirect
169. #14582958C22semidirect
170. #14582955C22semidirect
171. #14582955C22semidirect
172. #14582953C22semidirect
173. #14582953C22semidirect
174. #14582924C22semidirect
175. #14582924C22semidirect
176. #14582902C22semidirect
177. #14582902C22semidirect
178. #14582902C22semidirect
179. #14582902C22semidirect
180. #14582894C22semidirect
181. #14582894C22semidirect
182. #14582892C22semidirect
183. #14582892C22semidirect
186. C4×#10621872C22semidirect
187. #97×D43C22semidirect
188. C43×#542C22semidirect
189. C43×#535C22semidirect
190. C43×#496C22semidirect
191. C43×#495C22semidirect
192. C43×#489C22semidirect
193. C43×#486C22semidirect
194. C43×#464C22semidirect
195. C43×#463C22semidirect
196. C43×#460C22semidirect
197. C43×#459C22semidirect
198. C43×#452C22semidirect
199. C43×#450C22semidirect
200. C43×#449C22semidirect
201. C43×#447C22semidirect
202. C43×#433C22semidirect
962. #3224D43semidirect
1027. #542C2×D43semidirect
1035. #535C2×D43semidirect
1062. #496C2×D43semidirect
1066. #495C2×D43semidirect
1078. #489C2×D43semidirect
1082. #486C2×D43semidirect
1090. #464C2×D43semidirect
1098. #463C2×D43semidirect
1106. #460C2×D43semidirect
1114. #459C2×D43semidirect
1122. #452C2×D43semidirect
1130. #450C2×D43semidirect
1138. #449C2×D43semidirect
1146. #447C2×D43semidirect
1150. #433C2×D43semidirect
1169. C43#60827semidirect

Maximal subgroups

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

subgroupindex
#191484872
#191483702
#191456922
#191456912
#191456902
#191456892
#191456842
#191456832
#191456822
#191456372
#191456362
#191456312
#191456302
#191456172
#191456162
#191456122
#191456112
#191450562
#496×D432
#191449662
#191449372
#191441142
#191441112
#191440962
#191440932
#191438692
#191438672
#191438602
#191438582
#191432432
C43×#32242
#6082743