Finite Group Databasebeta

← #25968527

Subgroups — #25968527

Order 11008.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1898 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148384C211yesmaximal, characteristic, complemented
2#19148015C211yesmaximal, characteristic, complemented
3#19145711C211yesmaximal, characteristic, complemented
4#19145696C211yesmaximal, characteristic, complemented
5#19145683C211yesmaximal, characteristic, complemented
6#19145656C211yesmaximal, characteristic, complemented
7#19145655C211yesmaximal, characteristic, complemented
8#19145647C211yesmaximal, characteristic, complemented
9#19145642C211yesmaximal, characteristic, complemented
10#19145636C211yesmaximal, characteristic, complemented
11#19145629C211yesmaximal, characteristic, complemented
12#19145583C211yesmaximal, characteristic, complemented
13#19145581C211yesmaximal, characteristic, complemented
14#19145565C211yesmaximal, characteristic, complemented
15#19145555C211yesmaximal, characteristic, complemented
16#19145531C211yesmaximal, characteristic, complemented
17#19145526C211yesmaximal, characteristic, complemented
18#19145077C211yesmaximal, characteristic, complemented
19#19145070C211yesmaximal, characteristic, complemented
20#19144955C211yesmaximal, characteristic, complemented
21#19144946C211yesmaximal, characteristic, complemented
22#19144086C211yesmaximal, characteristic, complemented
23#19144060C211yesmaximal, characteristic, complemented
24#19144053C211yesmaximal, characteristic, complemented
25#463×D43C211yesmaximal, characteristic, complemented
26#19143911C211yesmaximal, characteristic, complemented
27#19143903C211yesmaximal, characteristic, complemented
28#19143876C211yesmaximal, characteristic, complemented
29#19143860C211yesmaximal, characteristic, complemented
30#19143258C211yesmaximal, characteristic, complemented
31C43×#3225C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic
33C2×#13063371C2211yescharacteristic
34C2×#13063357C2211yescharacteristic, complemented
35C2×#13063352C2211yescharacteristic
36C2×#13063352C2211yescharacteristic
37C2×#13063352C2211yescharacteristic, complemented
38C2×#13063348C2211yescharacteristic
39C2×#13063348C2211yescharacteristic, complemented
40C2×SD16×D43C2211yescharacteristic, complemented
41C2×D8×D43C2211yescharacteristic
42#14583559—21no—
43#14583559—21no—
44#14583541—21no—
45#14583541—21no—
46#14583541—21no—
47#14583541—21no—
48#14583540—21no—
49#14583540—21no—
50#14583526C2211yescharacteristic, complemented
51#14583521C2211yescharacteristic, complemented
52#14583519—21no—
53#14583504C2211yescharacteristic, complemented
54#14583501—21no—
55#14583500C2211yescharacteristic, complemented
56#14583488—21no—
57#14583483—21no—
58#14583479C2211yescharacteristic
59#14583474C2211yescharacteristic
60#14583474C2211yescharacteristic, complemented
61#14583468C2211yescharacteristic, complemented
62#14583467C2211yescharacteristic
63#14583467C2211yescharacteristic, complemented
64#14583467C2211yescharacteristic, complemented
65#14583465C2211yescharacteristic
66#14583450C2211yescharacteristic
67#14583450C2211yescharacteristic, complemented
68#14583450C2211yescharacteristic, complemented
69#14583448—21no—
70#14583445C2211yescharacteristic, complemented
71#14583444C2211yescharacteristic, complemented
72#14583435C2211yescharacteristic, complemented
73#14583432—21no—
74#14583428C2211yescharacteristic, complemented
75C2×#13063314C2211yescharacteristic, complemented
76#124×D43C2211yescharacteristic
77#124×D43C2211yescharacteristic, complemented
78#14583412—21no—
79#14583407—21no—
80C4×#10621902C2211yescharacteristic, complemented
81#14583367C2211yescharacteristic
82C4×D4×D43C2211yescharacteristic, complemented
83#14583292C2211yescharacteristic, complemented
84#14583289C2211yescharacteristic, complemented
85#14583289C2211yescharacteristic, complemented
86#14583288C2211yescharacteristic, complemented
87#14583285C2211yescharacteristic, complemented
88#14583285C2211yescharacteristic, complemented
89#14583285C2211yescharacteristic, complemented
90#14583284C2211yescharacteristic, complemented
91#14583284C2211yescharacteristic, complemented
92#14583281C2211yescharacteristic, complemented
93#14583276C2211yescharacteristic, complemented
94#14583274C2211yescharacteristic, complemented
95#14583273C2211yescharacteristic, complemented
96#14583270C2211yescharacteristic, complemented
97#14583267C2211yescharacteristic, complemented
98#14583266C2211yescharacteristic, complemented
99#14583264C2211yescharacteristic, complemented
100#14583262C2211yescharacteristic, complemented
101#14583261C2211yescharacteristic, complemented
102#14583260C2211yescharacteristic, complemented
103#14583260C2211yescharacteristic, complemented
104#14583255C2211yescharacteristic, complemented
105#14583255C2211yescharacteristic, complemented
106#14583254C2211yescharacteristic, complemented
107#14583253C2211yescharacteristic, complemented
108#14583248C2211yescharacteristic, complemented
109#14583247C2211yescharacteristic, complemented
110#14583244C2211yescharacteristic, complemented
111#14583123C2211yescharacteristic, complemented
112#14583123C2211yescharacteristic, complemented
113#14583123C2211yescharacteristic, complemented
114#14583121C2211yescharacteristic, complemented
115#14583119C2211yescharacteristic, complemented
116#14583117C2211yescharacteristic, complemented
117#14583117C2211yescharacteristic, complemented
118#14583117C2211yescharacteristic, complemented
119#14583117C2211yescharacteristic, complemented
120#14583117C2211yescharacteristic, complemented
121#14583117C2211yescharacteristic, complemented
122#14583116C2211yescharacteristic, complemented
123#14583116C2211yescharacteristic, complemented
124#14583116C2211yescharacteristic, complemented
125#14583115C2211yescharacteristic, complemented
126#14583115C2211yescharacteristic, complemented
127#14583114C2211yescharacteristic, complemented
128#14583113C2211yescharacteristic, complemented
129#14583113C2211yescharacteristic, complemented
130#14583112C2211yescharacteristic, complemented
131#14583111C2211yescharacteristic, complemented
132#14583111C2211yescharacteristic, complemented
133#14583101C2211yescharacteristic, complemented
134#14583101C2211yescharacteristic, complemented
135#14583099C2211yescharacteristic, complemented
136#14583095C2211yescharacteristic, complemented
137#14583095C2211yescharacteristic, complemented
138#14583094C2211yescharacteristic, complemented
139#14583060C2211yescharacteristic, complemented
140#14583060C2211yescharacteristic, complemented
141#14583059C2211yescharacteristic, complemented
142#14583053C2211yescharacteristic, complemented
143#14583049C2211yescharacteristic, complemented
144#14583048C2211yescharacteristic, complemented
145#14583047C2211yescharacteristic
146#14583047C2211yescharacteristic, complemented
147#14583047C2211yescharacteristic, complemented
148#14583047C2211yescharacteristic, complemented
149#14583046C2211yescharacteristic, complemented
150#14583046C2211yescharacteristic, complemented
151#14583044C2211yescharacteristic
152#14583044C2211yescharacteristic, complemented
153#14583043C2211yescharacteristic
154#14583043C2211yescharacteristic, complemented
155#14583042C2211yescharacteristic, complemented
156#14583039C2211yescharacteristic, complemented
157#14583039C2211yescharacteristic, complemented
158#14583038C2211yescharacteristic, complemented
159#14583038C2211yescharacteristic, complemented
160#14583036C2211yescharacteristic, complemented
161#14583035C2211yescharacteristic
162#14583035C2211yescharacteristic, complemented
163#14583034C2211yescharacteristic
164#14583034C2211yescharacteristic, complemented
165#14583032C2211yescharacteristic
166#14583031C2211yescharacteristic
167#14582960C2211yescharacteristic, complemented
168#14582959C2211yescharacteristic, complemented
169#14582959C2211yescharacteristic, complemented
170#14582954C2211yescharacteristic, complemented
171#14582953C2211yescharacteristic, complemented
172#14582950C2211yescharacteristic, complemented
173#14582949C2211yescharacteristic, complemented
174#14582921C2211yescharacteristic, complemented
175C4⋊C8×D43C2211yescharacteristic, complemented
176#14582906C2211yescharacteristic, complemented
177#14582902C2211yescharacteristic
178#14582899C2211yescharacteristic
179#14582899C2211yescharacteristic, complemented
180#14582894C2211yescharacteristic
181#14582894C2211yescharacteristic, complemented
182#103×D43C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582856C2211yescharacteristic, complemented
187#14582853C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic, complemented
189C43×#536C2211yescharacteristic, complemented
190C43×#497C2211yescharacteristic, complemented
191C43×#495C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic, complemented
193C43×#487C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#462C2211yescharacteristic, complemented
197C43×#461C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic, complemented
199C43×#451C2211yescharacteristic, complemented
200C43×#449C2211yescharacteristic
201C43×#448C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203#13063373—42no—
204#13063373—42no—
205#13063371—42no—
206#13063371—42no—
207C2×#10621902—21no—
208C2×#10621902—21no—
209C2×#10621902C2311yescharacteristic
210C2×#10621902C2311yescharacteristic
211C2×#10621902C2311yescharacteristic
212C2×#10621902C2311yescharacteristic
213C2×#10621902C2311yescharacteristic
214C2×#10621898—21no—
215C2×#10621898—21no—
216C2×#10621898—21no—
217C2×#10621898C2311yescharacteristic
218C2×#10621898C2311yescharacteristic
219C2×#10621900—21no—
220C2×Q8×D43—21no—
221C2×Q8×D43C2311yescharacteristic
222C2×Q8×D43C2311yescharacteristic
223C22×D172—21no—
224C22×D172C2311yescharacteristic
225C2×D4×D43—21no—
226C2×D4×D43—21no—
227C2×D4×D43C2311yescharacteristic
228C2×D4×D43C2311yescharacteristic
229C2×D4×D43C2311yescharacteristic
230C22×C4×D43—21no—
231#13063357—42no—
232#13063352—42no—
233#13063352—42no—
234#13063352—42no—
235#13063348—42no—
236#13063348—42no—
237C2×#10621885C2311yescharacteristic
238C2×#10621873C2311yescharacteristic
239C2×#10621873C2311yescharacteristic
240C2×#10621883C2311yescharacteristic
241C2×#10621884C2311yescharacteristic
242C2×#10621884C2311yescharacteristic
243C2×#10621884C2311yescharacteristic
244C2×#10621884C2311yescharacteristic
245C2×#10621884C2311yescharacteristic
246C2×#10621884C2311yescharacteristic
247C2×#10621884C2311yescharacteristic
248C2×#10621884C2311yescharacteristic
249C2×#10621884C2311yescharacteristic
250SD16×D43—42no—
251C2×D344C2311yescharacteristic
252C2×D344C2311yescharacteristic
253C2×D344C2311yescharacteristic
254C2×D344C2311yescharacteristic
255C2×D344C2311yescharacteristic
256C2×D344C2311yescharacteristic
257C2×#10621882C2311yescharacteristic
258C2×#10621882C2311yescharacteristic
259C2×#10621882C2311yescharacteristic
260C2×#10621882C2311yescharacteristic
261C2×#10621882C2311yescharacteristic
262D8×D43—42no—
263C2×#10621872C2311yescharacteristic
264C2×#10621872C2311yescharacteristic
265C2×C8×D43C2311yescharacteristic
266C2×C8×D43C2311yescharacteristic
267#13063324C2311yescharacteristic
268#13063323—21no—
269#13063323C2311yescharacteristic
270#13063322C2311yescharacteristic
271#13063322C2311yescharacteristic
272#13063322C2311yescharacteristic
273#13063321—21no—
274#13063321C2311yescharacteristic
275#13063321C2311yescharacteristic
276#13063320—21no—
277#13063319—21no—
278#13063318—21no—
279#13063317C2311yescharacteristic
280#13063316C2311yescharacteristic
281#13063315—21no—
282#13063314—21no—
283#13063314—21no—
284#13063314—21no—
285#13063314C2311yescharacteristic
286#13063314C2311yescharacteristic
287#13063314C2311yescharacteristic
288#13063314C2311yescharacteristic
289#13063314C2311yescharacteristic
290#13063314C2311yescharacteristic
291#13063313—21no—
292#13063313C2311yescharacteristic
293#13063313C2311yescharacteristic
294#13063312C2311yescharacteristic
295#13063311—21no—
296#13063311—21no—
297#13063311—21no—
298#13063311—21no—
299#13063311—21no—
300#13063311—21no—
301#13063310—21no—
302#13063310—21no—
303#13063310—21no—
304#13063310—21no—
305#13063310—21no—
306#13063310—21no—
307#13063310—21no—
308#13063309—21no—
309#13063308—21no—
310#13063307—21no—
311#13063307—21no—
312#13063303—21no—
313#13063303—21no—
314#13063303—21no—
315#13063303—21no—
316#13063303—21no—
317#13063303—21no—
318#13063303—21no—
319#13063301—21no—
320#13063301C2311yescharacteristic
321#13063300—21no—
322#13063300—21no—
323#13063300—21no—
324#13063300—21no—
325#13063300—21no—
326#13063300—21no—
327#13063300—21no—
328#13063300—21no—
329#13063300C2311yescharacteristic
330#13063300C2311yescharacteristic
331#13063299—21no—
332#13063299C2311yescharacteristic
333#13063299C2311yescharacteristic
334#13063298—21no—
335#13063298—21no—
336#13063298—21no—
337#13063298—21no—
338#13063298—21no—
339#13063298—21no—
340#13063298—21no—
341#13063298—21no—
342#13063298—21no—
343#13063298—21no—
344#13063298—21no—
345#13063297—21no—
346#13063297—21no—
347#13063297—21no—
348#13063296C2311yescharacteristic
349#13063295—21no—
350#13063295—21no—
351#13063295—21no—
352#13063295—21no—
353#13063295—21no—
354#13063295—21no—
355#13063295—21no—
356#13063295—21no—
357#13063295—21no—
358#13063293—21no—
359Q8×Dic43C2311yescharacteristic
360#13063290D411yescharacteristic
361#13063290D411yescharacteristic
362C4×D172—21no—
363C4×D172C2311yescharacteristic
364C4×D172C2311yescharacteristic
365D4×Dic43C2311yescharacteristic
366#13063287—21no—
367#13063287—21no—
368#13063287—21no—
369#13063287—21no—
370#13063287—21no—
371#13063287—21no—
372#13063287D411yescharacteristic
373#13063287D411yescharacteristic
374#13063287C2311yescharacteristic
375#13063287C2311yescharacteristic
376C4×C22⋊D43—21no—
377C4×C22⋊D43—21no—
378C4×C22⋊D43—21no—
379(C22⋊D43)⋊C4—21no—
380(C22⋊D43)⋊C4—21no—
381(C22⋊D43)⋊C4—21no—
382(C22⋊D43)⋊C4—21no—
383(C22⋊D43)⋊C4D411yescharacteristic
384(C22⋊D43)⋊C4D411yescharacteristic
385(C22⋊D43)⋊C4D411yescharacteristic
386(C22⋊D43)⋊C4D411yescharacteristic
387#13063283—21no—
388#13063283—21no—
389#13063283C2311yescharacteristic
390#13063282C2311yescharacteristic
391#13063282C2311yescharacteristic
392#13063281—21no—
393C4⋊C4×D43C2311yescharacteristic
394C2×(C2×D43)⋊C4—21no—
395C2×(C2×D43)⋊C4—21no—
396C22⋊C4×D43—21no—
397C22⋊C4×D43—21no—
398C22⋊C4×D43—21no—
399C22⋊C4×D43—21no—
400C22⋊C4×D43—21no—
401C2×C4×Dic43C2311yescharacteristic
402C42×D43—21no—
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#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
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
444C4×C43⋊C8C2311yescharacteristic
445C8×Dic43C2311yescharacteristic
446C8×Dic43C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C22×Q8×C43C2311yescharacteristic
449C2×Q16×C43C2311yescharacteristic
450C2×Q16×C43C2311yescharacteristic
451C2×Q16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic
453C2×SD16×C43C2311yescharacteristic
454C2×SD16×C43C2311yescharacteristic
455C2×SD16×C43C2311yescharacteristic
456C2×D8×C43C2311yescharacteristic
457C4⋊Q8×C43C2311yescharacteristic
458C4⋊Q8×C43C2311yescharacteristic
459C4⋊Q8×C43C2311yescharacteristic
460#126×C43—21no—
461#124×C43—21no—
462#124×C43C2311yescharacteristic
463#124×C43C2311yescharacteristic
464#124×C43C2311yescharacteristic
465#123×C43—21no—
466#123×C43—21no—
467#123×C43—21no—
468C22⋊Q8×C43—21no—
469C22⋊Q8×C43—21no—
470C22⋊Q8×C43—21no—
471C22⋊Q8×C43C2311yescharacteristic
472#121×C43C2311yescharacteristic
473C4×Q8×C43C2311yescharacteristic
474C4×D4×C43C2311yescharacteristic
475#117×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477C4⋊C8×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#103×C43C2311yescharacteristic
483#103×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488#97×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C23×D43—21no—
491C23×D43—21no—
492C23×D43—21no—
493C23×D43—21no—
494#41×C43—41no—
495#41×C43—41no—
496C2×Q8×C43—21no—
497C2×Q8×C43—21no—
498C2×Q8×C43—41no—
499C2×Q8×C43—41no—
500C2×Q8×C43C2411yescharacteristic
501C2×Q8×C43C2411yescharacteristic
502C2×Q8×C43C2411yescharacteristic
503C2×Q8×C43C2411yescharacteristic
504C2×D4×C43—21no—
505C2×D4×C43—21no—
506C2×D4×C43C2411yescharacteristic
507C2×D4×C43C2411yescharacteristic
508C22×C4×C43—21no—
509C22×C4×C43—21no—
510C22×C4×C43—21no—
511C22×C4×C43C2411yescharacteristic
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43C2×D411yescharacteristic
524C2×C22⋊D43C2×D411yescharacteristic
525C22×Dic43—21no—
526C22×Dic43C2×D411yescharacteristic
527C22×Dic43C2×D411yescharacteristic
528#10621902—22no—
529#10621902—22no—
530#10621902—22no—
531#10621902—22no—
532#10621902—22no—
533#10621902—22no—
534#10621902—41no—
535#10621902—41no—
536#10621902—41no—
537#10621902—41no—
538#10621902—44no—
539#10621902—82no—
540Q8×D43—22no—
541Q8×D43—22no—
542Q8×D43—41no—
543Q8×D43—41no—
544Q8×D43—44no—
545#10621900—82no—
546D4×D43—22no—
547D4×D43—22no—
548D4×D43—22no—
549D4×D43—22no—
550D4×D43—41no—
551D4×D43—41no—
552D4×D43—44no—
553D4×D43—44no—
554#10621898—22no—
555#10621898—22no—
556#10621898—41no—
557#10621898—41no—
558#10621898—44no—
559#10621898—44no—
560#10621898—44no—
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—21no—
575C2×D172—41no—
576C2×D172—41no—
577C2×D172—44no—
578C2×D172C2×D411yescharacteristic
579C2×D172C2411yescharacteristic
580C2×D172C2411yescharacteristic
581C2×D172C2411yescharacteristic
582C2×D172C2411yescharacteristic
583C2×D172C2411yescharacteristic
584C2×C4×D43—21no—
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—82no—
598C2×C4×D43C2×D411yescharacteristic
599C2×C4×D43C2×D411yescharacteristic
600C2×C4×D43C2×D411yescharacteristic
601C2×C4×D43C2×D411yescharacteristic
602C2×C4×D43C2411yescharacteristic
603C2×C4×D43C2411yescharacteristic
604C2×Dic86—21no—
605C2×Dic86—21no—
606C2×Dic86—21no—
607C2×Dic86C2×D411yescharacteristic
608C2×Dic86C2411yescharacteristic
609Q16×C43—41no—
610Q16×C43—41no—
611Q16×C43—41no—
612SD16×C43—41no—
613SD16×C43—41no—
614SD16×C43—41no—
615SD16×C43—41no—
616D8×C43—41no—
617C2×C8×C43C2411yescharacteristic
618C2×C8×C43C2411yescharacteristic
619C2×C8×C43C2411yescharacteristic
620C2×C8×C43C2411yescharacteristic
621C4⋊C4×C43—21no—
622C4⋊C4×C43—21no—
623C4⋊C4×C43—21no—
624C4⋊C4×C43—21no—
625C4⋊C4×C43—21no—
626C4⋊C4×C43—21no—
627C4⋊C4×C43—21no—
628C4⋊C4×C43C2×D411yescharacteristic
629C4⋊C4×C43C2×D411yescharacteristic
630C4⋊C4×C43C2411yescharacteristic
631C4⋊C4×C43C2411yescharacteristic
632C22⋊C4×C43—21no—
633C22⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
642C22⋊C4×C43C2×D411yescharacteristic
643C42×C43—21no—
644C42×C43C2411yescharacteristic
645C42×C43C2411yescharacteristic
646C22⋊Dic43—21no—
647C22⋊Dic43—21no—
648C22⋊Dic43—21no—
649C22⋊Dic43—21no—
650#10621885—41no—
651#10621884—41no—
652#10621884—41no—
653#10621884—41no—
654#10621884—41no—
655#10621884—41no—
656#10621884—41no—
657#10621884—41no—
658#10621884—41no—
659#10621884—41no—
660#10621883—41no—
661#10621882—41no—
662#10621882—41no—
663#10621882—41no—
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)⋊C4—21no—
692(C2×D43)⋊C4C2×D411yescharacteristic
693(C2×D43)⋊C4C2×D411yescharacteristic
694(C2×D43)⋊C4C2×D411yescharacteristic
695(C2×D43)⋊C4C2×D411yescharacteristic
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×Dic43C2×D411yescharacteristic
715C4×Dic43C2×D411yescharacteristic
716C4×Dic43C2×D411yescharacteristic
717C4×Dic43C2×D411yescharacteristic
718C4×Dic43C2×D411yescharacteristic
719C4×Dic43C2×D411yescharacteristic
720C4×Dic43C2411yescharacteristic
721C4×Dic43C2411yescharacteristic
722C2×C43⋊C8C2411yescharacteristic
723C2×C43⋊C8C2411yescharacteristic
724C2×C43⋊C8C2411yescharacteristic
725C2×C43⋊C8C2411yescharacteristic
726D344—41no—
727D344—41no—
728D344—41no—
729D344—41no—
730D344—41no—
731D344—41no—
732#10621873—41no—
733#10621873—41no—
734#10621872—22no—
735#10621872—22no—
736C8×D43—22no—
737C8×D43—22no—
738C23×C43—21no—
739C23×C43—21no—
740C23×C43C22×D411yescharacteristic
741C22×D43—21no—
742C22×D43—21no—
743C22×D43—21no—
744C22×D43—21no—
745C22×D43—21no—
746C22×D43—42no—
747C22×D43—42no—
748C22×D43—42no—
749C22×D43—42no—
750C22×D43—81no—
751C22×D43—81no—
752C22×D43—81no—
753C22×D43—81no—
754C22×D43—81no—
755C22×D43—81no—
756C22×D43—81no—
757C22×D43—81no—
758C22×D43C22×D411yescharacteristic
759C22×D43C22×D411yescharacteristic
760Q8×C43—21no—
761Q8×C43—21no—
762Q8×C43—21no—
763Q8×C43—21no—
764Q8×C43—21no—
765Q8×C43—21no—
766Q8×C43—21no—
767Q8×C43—21no—
768Q8×C43—42no—
769Q8×C43—81no—
770D4×C43—21no—
771D4×C43—21no—
772D4×C43—21no—
773D4×C43—21no—
774D4×C43—42no—
775D4×C43—81no—
776C2×C4×C43—21no—
777C2×C4×C43—21no—
778C2×C4×C43—21no—
779C2×C4×C43—21no—
780C2×C4×C43—21no—
781C2×C4×C43—21no—
782C2×C4×C43—21no—
783C2×C4×C43—21no—
784C2×C4×C43—42no—
785C2×C4×C43—42no—
786C2×C4×C43—81no—
787C2×C4×C43C22×D411yescharacteristic
788C2×C4×C43C22×D411yescharacteristic
789C2×C4×C43C22×D411yescharacteristic
790C2×C4×C43C22×D411yescharacteristic
791C2×C4×C43C22×D411yescharacteristic
792C2×C4×C43C2511yescharacteristic
793C22⋊D43—22no—
794C22⋊D43—22no—
795C22⋊D43—42no—
796C22⋊D43—42no—
797C22⋊D43—42no—
798C22⋊D43—42no—
799C22⋊D43—81no—
800C22⋊D43—81no—
801C22⋊D43—81no—
802C22⋊D43—81no—
803C22⋊D43—81no—
804C22⋊D43—81no—
805C22⋊D43—81no—
806C2×Dic43—21no—
807C2×Dic43—21no—
808C2×Dic43—21no—
809C2×Dic43—41no—
810C2×Dic43—41no—
811C2×Dic43—42no—
812C2×Dic43C22×D411yescharacteristic
813C2×Dic43C22×D411yescharacteristic
814C2×Dic43C22×D411yescharacteristic
815C2×Dic43C22×D411yescharacteristic
816C2×Dic43C22×D411yescharacteristic
817C2×Dic43C22×D411yescharacteristic
818D172—22no—
819D172—21no—
820D172—21no—
821D172—21no—
822D172—21no—
823D172—21no—
824D172—21no—
825D172—21no—
826D172—21no—
827D172—21no—
828D172—21no—
829D172—42no—
830D172—42no—
831D172—42no—
832D172—42no—
833D172—42no—
834D172—42no—
835D172—81no—
836D172—81no—
837D172—81no—
838D172—81no—
839D172—81no—
840D172—81no—
841D172—81no—
842D172—81no—
843C4×D43—21no—
844C4×D43—21no—
845C4×D43—41no—
846C4×D43—41no—
847C4×D43—41no—
848C4×D43—41no—
849C4×D43—42no—
850C4×D43—42no—
851C4×D43—42no—
852C4×D43—42no—
853C4×D43—42no—
854C4×D43—42no—
855C4×D43—42no—
856C4×D43—42no—
857C4×D43—42no—
858C4×D43—42no—
859C4×D43—81no—
860C4×D43—81no—
861C4×D43—81no—
862C4×D43H(5,𝔽2)12yes—
863C4×D43H(5,𝔽2)12yes—
864Dic86—22no—
865Dic86—21no—
866Dic86—21no—
867Dic86—42no—
868Dic86—42no—
869Dic86—81no—
870C8×C43—21no—
871C8×C43—21no—
872C8×C43—21no—
873C8×C43—21no—
874C43⋊C8—21no—
875C43⋊C8—21no—
876C43⋊C8—21no—
877C43⋊C8—21no—
878#60834—431nomaximal, Sylow
879C22×C43—21no—
880C22×C43—21no—
881C22×C43—21no—
882C22×C43—41no—
883C22×C43—41no—
884C22×C43—41no—
885C22×C43—41no—
886C22×C43—41no—
887C22×C43—41no—
888C22×C43C23×D411yescharacteristic
889C2×D43—21no—
890C2×D43—21no—
891C2×D43—21no—
892C2×D43—21no—
893C2×D43—21no—
894C2×D43—41no—
895C2×D43—41no—
896C2×D43—41no—
897C2×D43—41no—
898C2×D43—41no—
899C2×D43—41no—
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—84no—
910C2×D43—162no—
911C2×D43—162no—
912C2×D43—162no—
913C2×D43#53512yes—
914C4×C43—21no—
915C4×C43—21no—
916C4×C43—21no—
917C4×C43—21no—
918C4×C43—21no—
919C4×C43—41no—
920C4×C43—41no—
921C4×C43—41no—
922C4×C43—41no—
923C4×C43—41no—
924C4×C43—41no—
925C4×C43C2×H(5,𝔽2)11yescharacteristic
926C4×C43C2×H(5,𝔽2)11yescharacteristic
927Dic43—21no—
928Dic43—21no—
929Dic43—21no—
930Dic43—21no—
931Dic43—21no—
932Dic43—41no—
933Dic43—41no—
934Dic43—41no—
935Dic43#53512yes—
936#3500—431no—
937#3460—431no—
938#3225—431no—
939#3225D4311yescharacteristic, complemented
940#3224—431no—
941#3224—431no—
942#3221—431no—
943#3221—431no—
944#3220—431no—
945#3220—431no—
946#3219—431no—
947#3219—431no—
948#3213—431no—
949#3213—431no—
950#3211—431no—
951#3211—431no—
952#3207—431no—
953#3207—431no—
954#3155—431no—
955#3154—431no—
956#3137—431no—
957#3136—431no—
958#3040—431no—
959#3036—431no—
960#3035—431no—
961C2×#463—431no—
962#3013—431no—
963#3012—431no—
964#3010—431no—
965#3008—431no—
966#2925—431no—
967C2×C43—41no—
968C2×C43—81no—
969C2×C43—81no—
970C2×C43C2×#53511yescharacteristic
971C2×C43#358411yescharacteristic
972C2×C43#358511yescharacteristic
973D43—22no—
974D43—41no—
975D43—81no—
976D43—81no—
977D43—81no—
978D43—81no—
979D43—81no—
980C2×2−1+4—431no—
981C2×H(5,𝔽2)—431no—
982C2×#137—431no—
983C2×AGL(1,ℤ/8)—431no—
984C2×AGL(1,ℤ/8)—431no—
985C2×AGL(1,ℤ/8)—431no—
986C2×#135—431no—
987C2×#135—431no—
988C22×SD16—431no—
989C22×D8—431no—
990#548—861no—
991#548—861no—
992#546—861no—
993#546—861no—
994#546—861no—
995#546—861no—
996#546—861no—
997#546—861no—
998#544—431no—
999#542—431no—
1000#542—861no—
1001#542C2×D4311yescharacteristic, complemented
1002#540—431no—
1003#540—431no—
1004#540—861no—
1005#538—861no—
1006#538—861no—
1007#537—431no—
1008#536—431no—
1009#536—431no—
1010#536C2×D4311yescharacteristic, complemented
1011#535—431no—
1012#535—431no—
1013#535—431no—
1014#535—431no—
1015#535—431no—
1016#532—431no—
1017#532—431no—
1018#532—431no—
1019#532—431no—
1020#532—431no—
1021#532—861no—
1022#529—431no—
1023#529—431no—
1024#529—861no—
1025C2×#124—431no—
1026C2×#124—431no—
1027C2×#124—431no—
1028#525—861no—
1029#525—861no—
1030C4×#41—431no—
1031C4×#41—431no—
1032C2×C4×D4—431no—
1033#497—431no—
1034#497C2×D4311yescharacteristic, complemented
1035#496—431no—
1036#496—431no—
1037#496—431no—
1038#496—431no—
1039#496—431no—
1040#496—431no—
1041#495—431no—
1042#495—431no—
1043#495—431no—
1044#495C2×D4311yescharacteristic, complemented
1045#493—431no—
1046#493—431no—
1047#492—431no—
1048#492—431no—
1049#491—431no—
1050#491—431no—
1051#490—431no—
1052#490—431no—
1053#489—431no—
1054#489—431no—
1055#489—431no—
1056#489C2×D4311yescharacteristic, complemented
1057#488—431no—
1058#488—431no—
1059#488—431no—
1060#488—431no—
1061#487—431no—
1062#487C2×D4311yescharacteristic, complemented
1063#486—431no—
1064#486—431no—
1065#464—431no—
1066#464—431no—
1067#464—431no—
1068#464—431no—
1069#464—431no—
1070#464C2×D4311yescharacteristic, complemented
1071#463—431no—
1072#463—431no—
1073#463—431no—
1074#463—431no—
1075#463—431no—
1076#463—431no—
1077#463—431no—
1078#463—431no—
1079#463—431no—
1080#463—431no—
1081#463—431no—
1082#463—431no—
1083#463—431no—
1084#463—431no—
1085#463—431no—
1086#463—431no—
1087#463—431no—
1088#463C2×D4311yescharacteristic, complemented
1089#462C2×D4311yescharacteristic, complemented
1090#461—431no—
1091#461—431no—
1092#461C2×D4311yescharacteristic, complemented
1093#460—431no—
1094#459—431no—
1095#459—431no—
1096#459—431no—
1097#452—431no—
1098#452—431no—
1099#452—431no—
1100#452C2×D4311yescharacteristic, complemented
1101#451—431no—
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#449—431no—
1116#449C2×D4311yescharacteristic
1117#448—431no—
1118#448—431no—
1119#448—431no—
1120#448—431no—
1121#448—431no—
1122#448C2×D4311yescharacteristic, complemented
1123#447—431no—
1124#447—431no—
1125#447—431no—
1126#447—431no—
1127#447—431no—
1128#447—431no—
1129#433—431no—
1130#433—431no—
1131#433—431no—
1132#433C2×D4311yescharacteristic, complemented
1133#432—431no—
1134#432—431no—
1135#431—431no—
1136#431—431no—
1137#423—431no—
1138C2×C4⋊C8—431no—
1139#419—431no—
1140#418—431no—
1141#417—431no—
1142#417—431no—
1143#416—431no—
1144#416—431no—
1145C2×#103—431no—
1146C2×#102—431no—
1147#408—431no—
1148#408—431no—
1149#405—431no—
1150#405—431no—
1151C43#6083411yescharacteristic, complemented, Sylow
11522−1+4—1722no—
11532−1+4—1722no—
1154H(5,𝔽2)—1722no—
1155H(5,𝔽2)—1722no—
1156C2×#41—431no—
1157C2×#41—431no—
1158C2×#41—431no—
1159C2×#41—431no—
1160C2×#41—431no—
1161C2×#41—431no—
1162C2×#41—431no—
1163C2×#41—861no—
1164C2×#41—861no—
1165C2×#41—861no—
1166C2×#41—861no—
1167C2×#41—861no—
1168C2×#41—861no—
1169C2×#41C22×D4311yescharacteristic
1170C22×Q8—431no—
1171C22×Q8—431no—
1172C22×Q8—861no—
1173C22×Q8C22×D4311yescharacteristic
1174C22×D4—431no—
1175C22×D4—431no—
1176C22×D4—431no—
1177C22×D4—431no—
1178C22×D4—861no—
1179C22×D4—861no—
1180C22×D4—861no—
1181C23×C4—861no—
1182#137—1722no—
1183AGL(1,ℤ/8)—1722no—
1184AGL(1,ℤ/8)—1722no—
1185AGL(1,ℤ/8)—1722no—
1186#135—1722no—
1187#135—1722no—
1188C2×Q16—431no—
1189C2×Q16C22×D4311yescharacteristic
1190C2×Q16C22×D4311yescharacteristic
1191C2×Q16C22×D4311yescharacteristic
1192C2×SD16—431no—
1193C2×SD16—431no—
1194C2×SD16—431no—
1195C2×SD16—431no—
1196C2×SD16—431no—
1197C2×SD16—431no—
1198C2×SD16—431no—
1199C2×SD16—431no—
1200C2×SD16—431no—
1201C2×SD16—431no—
1202C2×SD16—431no—
1203C2×SD16—431no—
1204C2×SD16—1722no—
1205C2×SD16C22×D4311yescharacteristic
1206C2×SD16C22×D4311yescharacteristic
1207C2×SD16C22×D4311yescharacteristic
1208C2×SD16C22×D4311yescharacteristic
1209C2×D8—431no—
1210C2×D8—431no—
1211C2×D8—431no—
1212C2×D8—431no—
1213C2×D8—431no—
1214C2×D8—431no—
1215C2×D8—431no—
1216C2×D8—431no—
1217C2×D8—431no—
1218C2×D8—431no—
1219C2×D8—431no—
1220C2×D8—1722no—
1221C2×D8C22×D4311yescharacteristic
1222C2×M16—431no—
1223C2×M16—431no—
1224C22×C8—431no—
1225C22×C8—431no—
1226C4⋊Q8—431no—
1227C4⋊Q8—431no—
1228C4⋊Q8—861no—
1229C4⋊Q8C22×D4311yescharacteristic
1230C4⋊Q8C22×D4311yescharacteristic
1231C4⋊Q8C22×D4311yescharacteristic
1232#127—431no—
1233#127—431no—
1234#127—431no—
1235#127—431no—
1236#127—431no—
1237#127—861no—
1238#126—21no—
1239#126—861no—
1240#126—861no—
1241#126—861no—
1242#125—431no—
1243#125—431no—
1244#125—861no—
1245#124—21no—
1246#124—431no—
1247#124—431no—
1248#124—431no—
1249#124—431no—
1250#124—431no—
1251#124—431no—
1252#124—431no—
1253#124—431no—
1254#124—431no—
1255#124—861no—
1256#124—861no—
1257#124—861no—
1258#124—861no—
1259#124—861no—
1260#124—861no—
1261#124—861no—
1262#124—861no—
1263#124—861no—
1264#124—861no—
1265#124C22×D4311yescharacteristic
1266#124C22×D4311yescharacteristic
1267#124C22×D4311yescharacteristic
1268#123—21no—
1269#123—21no—
1270#123—21no—
1271#123—861no—
1272#123—861no—
1273#123—861no—
1274#123—861no—
1275#123—861no—
1276#123—861no—
1277#123—861no—
1278#123—861no—
1279#123—861no—
1280#123—861no—
1281#123—861no—
1282C22⋊Q8—21no—
1283C22⋊Q8—21no—
1284C22⋊Q8—21no—
1285C22⋊Q8—431no—
1286C22⋊Q8—861no—
1287C22⋊Q8—861no—
1288C22⋊Q8—861no—
1289C22⋊Q8—861no—
1290C22⋊Q8—861no—
1291C22⋊Q8—861no—
1292C22⋊Q8—861no—
1293C22⋊Q8—861no—
1294C22⋊Q8C22×D4311yescharacteristic
1295#121—431no—
1296#121—431no—
1297#121—431no—
1298#121—431no—
1299#121—431no—
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#121—861no—
1310#121—861no—
1311#121—861no—
1312#121—861no—
1313#121—861no—
1314#121—861no—
1315#121—861no—
1316#121—861no—
1317#121—861no—
1318#121—861no—
1319#121—861no—
1320#121—861no—
1321#121—861no—
1322#121—861no—
1323#121C22×D4311yescharacteristic
1324#120—861no—
1325#120—861no—
1326#120—861no—
1327#120—861no—
1328#120—861no—
1329#120—861no—
1330#120—861no—
1331#120—861no—
1332#120—861no—
1333#120—861no—
1334C4×Q8—431no—
1335C4×Q8—431no—
1336C4×Q8—431no—
1337C4×Q8C22×D4311yescharacteristic
1338C4×D4—431no—
1339C4×D4—431no—
1340C4×D4—431no—
1341C4×D4—431no—
1342C4×D4—431no—
1343C4×D4—431no—
1344C4×D4—431no—
1345C4×D4—431no—
1346C4×D4—431no—
1347C4×D4—431no—
1348C4×D4—431no—
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×D4—861no—
1358C4×D4—861no—
1359C4×D4—861no—
1360C4×D4—861no—
1361C4×D4—861no—
1362C4×D4—861no—
1363C4×D4C22×D4311yescharacteristic
1364#117—431no—
1365#117—431no—
1366#117—431no—
1367#117—861no—
1368#117—861no—
1369#117—861no—
1370#117C22×D4311yescharacteristic
1371C2×C4⋊C4—431no—
1372C2×C22⋊C4—861no—
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—431no—
1381C2×C42—431no—
1382C2×C42—861no—
1383C4⋊C8—431no—
1384C4⋊C8—431no—
1385C4⋊C8—431no—
1386C4⋊C8—431no—
1387C4⋊C8—431no—
1388C4⋊C8—431no—
1389C4⋊C8C22×D4311yescharacteristic
1390C4⋊C8C22×D4311yescharacteristic
1391#103—431no—
1392#103—431no—
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#103C22×D4311yescharacteristic
1402#103C22×D4311yescharacteristic
1403#103C22×D4311yescharacteristic
1404#103C22×D4311yescharacteristic
1405#103C22×D4311yescharacteristic
1406#103C22×D4311yescharacteristic
1407#102—431no—
1408#102—431no—
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#102C22×D4311yescharacteristic
1422#102C22×D4311yescharacteristic
1423C22⋊C8—431no—
1424C22⋊C8—431no—
1425C22⋊C8—431no—
1426C22⋊C8—431no—
1427C22⋊C8—431no—
1428C22⋊C8—431no—
1429C22⋊C8C22×D4311yescharacteristic
1430C22⋊C8C22×D4311yescharacteristic
1431#97—431no—
1432#97—431no—
1433#97—431no—
1434#97C22×D4311yescharacteristic
1435C4×C8—431no—
1436C4×C8—431no—
1437C4×C8—431no—
1438C4×C8C22×D4311yescharacteristic
1439C24—861no—
1440C24—861no—
1441C24—861no—
1442C24—861no—
1443#41—41no—
1444#41—41no—
1445#41—862no—
1446#41—862no—
1447#41—862no—
1448#41—862no—
1449#41—862no—
1450#41—862no—
1451#41—862no—
1452#41—862no—
1453#41—3442no—
1454#41—3442no—
1455#41—1721no—
1456#41—1721no—
1457#41—1724no—
1458#41—1724no—
1459#41—1724no—
1460#41—1721no—
1461#41—1721no—
1462#41—1721no—
1463#41—1721no—
1464#41—1724no—
1465C2×Q8—21no—
1466C2×Q8—21no—
1467C2×Q8—41no—
1468C2×Q8—41no—
1469C2×Q8—431no—
1470C2×Q8—431no—
1471C2×Q8—861no—
1472C2×Q8—861no—
1473C2×Q8—861no—
1474C2×Q8—862no—
1475C2×Q8—862no—
1476C2×Q8—1721no—
1477C2×Q8—1721no—
1478C2×Q8—1724no—
1479C2×Q8C23×D4311yescharacteristic
1480C2×Q8C23×D4311yescharacteristic
1481C2×Q8C23×D4311yescharacteristic
1482C2×Q8C23×D4311yescharacteristic
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—431no—
1486C2×D4—431no—
1487C2×D4—431no—
1488C2×D4—431no—
1489C2×D4—431no—
1490C2×D4—431no—
1491C2×D4—431no—
1492C2×D4—431no—
1493C2×D4—861no—
1494C2×D4—861no—
1495C2×D4—861no—
1496C2×D4—861no—
1497C2×D4—861no—
1498C2×D4—861no—
1499C2×D4—861no—
1500C2×D4—862no—
1501C2×D4—862no—
1502C2×D4—862no—
1503C2×D4—862no—
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—861no—
1516C2×D4—861no—
1517C2×D4—861no—
1518C2×D4—861no—
1519C2×D4—861no—
1520C2×D4—861no—
1521C2×D4—861no—
1522C2×D4—1721no—
1523C2×D4—1721no—
1524C2×D4—1724no—
1525C2×D4—1721no—
1526C2×D4—1721no—
1527C2×D4—1724no—
1528C2×D4—1724no—
1529C2×D4C23×D4311yescharacteristic
1530C2×D4C23×D4311yescharacteristic
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—21no—
1534C22×C4—431no—
1535C22×C4—431no—
1536C22×C4—431no—
1537C22×C4—431no—
1538C22×C4—431no—
1539C22×C4—431no—
1540C22×C4—431no—
1541C22×C4—431no—
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—861no—
1556C22×C4—3442no—
1557C22×C4C23×D4311yescharacteristic
1558Q16—41no—
1559Q16—41no—
1560Q16—41no—
1561Q16—1721no—
1562SD16—41no—
1563SD16—41no—
1564SD16—41no—
1565SD16—41no—
1566SD16—1721no—
1567SD16—1721no—
1568SD16—1721no—
1569SD16—1721no—
1570SD16—1721no—
1571SD16—1721no—
1572SD16—1721no—
1573SD16—1721no—
1574SD16—1721no—
1575SD16—1721no—
1576SD16—1721no—
1577SD16—1721no—
1578D8—41no—
1579D8—1721no—
1580D8—1721no—
1581D8—1721no—
1582D8—1721no—
1583D8—1721no—
1584D8—1721no—
1585D8—1721no—
1586D8—1721no—
1587D8—1721no—
1588D8—1721no—
1589D8—1721no—
1590M16—862no—
1591M16—862no—
1592C2×C8—431no—
1593C2×C8—431no—
1594C2×C8—431no—
1595C2×C8—431no—
1596C2×C8—862no—
1597C2×C8—862no—
1598C2×C8C23×D4311yescharacteristic
1599C2×C8C23×D4311yescharacteristic
1600C2×C8C23×D4311yescharacteristic
1601C2×C8C23×D4311yescharacteristic
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—431no—
1610C4⋊C4—431no—
1611C4⋊C4—431no—
1612C4⋊C4—431no—
1613C4⋊C4—431no—
1614C4⋊C4—431no—
1615C4⋊C4—861no—
1616C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1626C4⋊C4D4×D4311yescharacteristic
1627C4⋊C4C23×D4311yescharacteristic
1628C4⋊C4C23×D4311yescharacteristic
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—431no—
1639C22⋊C4—431no—
1640C22⋊C4—431no—
1641C22⋊C4—431no—
1642C22⋊C4—861no—
1643C22⋊C4—861no—
1644C22⋊C4—861no—
1645C22⋊C4—861no—
1646C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1673C22⋊C4D4×D4311yescharacteristic
1674C42—21no—
1675C42—431no—
1676C42—431no—
1677C42—431no—
1678C42—431no—
1679C42—431no—
1680C42—431no—
1681C42—431no—
1682C42—431no—
1683C42—861no—
1684C42—861no—
1685C42C23×D4311yescharacteristic
1686C42C23×D4311yescharacteristic
1687C23—21no—
1688C23—21no—
1689C23—431no—
1690C23—431no—
1691C23—861no—
1692C23—861no—
1693C23—861no—
1694C23—861no—
1695C23—861no—
1696C23—3441no—
1697C23—3441no—
1698C23—3441no—
1699C23—3441no—
1700C23—3441no—
1701C23—3441no—
1702C23—3441no—
1703C23—3441no—
1704C23—1722no—
1705C23—1722no—
1706C23—1722no—
1707C23—1722no—
1708C23C2×D4×D4311yescharacteristic
1709Q8—21no—
1710Q8—21no—
1711Q8—21no—
1712Q8—21no—
1713Q8—21no—
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—42no—
1718Q8—81no—
1719Q8—862no—
1720Q8—861no—
1721Q8—861no—
1722Q8—3441no—
1723Q8—1722no—
1724Q8—1722no—
1725D4—21no—
1726D4—21no—
1727D4—21no—
1728D4—21no—
1729D4—42no—
1730D4—81no—
1731D4—862no—
1732D4—862no—
1733D4—862no—
1734D4—861no—
1735D4—861no—
1736D4—861no—
1737D4—861no—
1738D4—861no—
1739D4—861no—
1740D4—861no—
1741D4—861no—
1742D4—861no—
1743D4—861no—
1744D4—3441no—
1745D4—3441no—
1746D4—3441no—
1747D4—3441no—
1748D4—3441no—
1749D4—3441no—
1750D4—3441no—
1751D4—3441no—
1752D4—3441no—
1753D4—3441no—
1754D4—3441no—
1755D4—3441no—
1756D4—3441no—
1757D4—3441no—
1758D4—3441no—
1759D4—1722no—
1760D4—1722no—
1761D4—1722no—
1762D4—1722no—
1763D4—1722no—
1764D4—1722no—
1765D4—1722no—
1766D4—1722no—
1767D4—1722no—
1768D4—1722no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—42no—
1778C2×C4—42no—
1779C2×C4—81no—
1780C2×C4—431no—
1781C2×C4—432no—
1782C2×C4—432no—
1783C2×C4—431no—
1784C2×C4—431no—
1785C2×C4—431no—
1786C2×C4—431no—
1787C2×C4—431no—
1788C2×C4—861no—
1789C2×C4—861no—
1790C2×C4—861no—
1791C2×C4—861no—
1792C2×C4—861no—
1793C2×C4—3441no—
1794C2×C4—3441no—
1795C2×C4—3441no—
1796C2×C4—1721no—
1797C2×C4—1721no—
1798C2×C4—1721no—
1799C2×C4—1721no—
1800C2×C4—1722no—
1801C2×C4—1722no—
1802C2×C4—1722no—
1803C2×C4—1722no—
1804C2×C4—1722no—
1805C2×C4—1722no—
1806C2×C4—1722no—
1807C2×C4—1722no—
1808C2×C4—1722no—
1809C2×C4—1722no—
1810C2×C4—1721no—
1811C2×C4—1721no—
1812C2×C4—1722no—
1813C2×C4C2×D4×D4311yescharacteristic
1814C2×C4C2×D4×D4311yescharacteristic
1815C2×C4C2×D4×D4311yescharacteristic
1816C2×C4C2×D4×D4311yescharacteristic
1817C2×C4C2×D4×D4311yescharacteristic
1818C2×C4C24×D4311yescharacteristic
1819C8—21no—
1820C8—21no—
1821C8—21no—
1822C8—21no—
1823C8—861no—
1824C8—861no—
1825C8—861no—
1826C8—861no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—432no—
1837C22—861no—
1838C22—861no—
1839C22—861no—
1840C22—861no—
1841C22—861no—
1842C22—3444no—
1843C22—1721no—
1844C22—1721no—
1845C22—1721no—
1846C22—1721no—
1847C22—1721no—
1848C22—1721no—
1849C22—1721no—
1850C22—1721no—
1851C22—1721no—
1852C22—1721no—
1853C22—1721no—
1854C22—1721no—
1855C22—1721no—
1856C22—1721no—
1857C22—1721no—
1858C22—6882no—
1859C22—6882no—
1860C22—6882no—
1861C22C22×D4×D4311yescharacteristic
1862C4—21no—
1863C4—21no—
1864C4—21no—
1865C4—21no—
1866C4—21no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—432no—
1874C4—861no—
1875C4—861no—
1876C4—861no—
1877C4—861no—
1878C4—861no—
1879C4—1721no—
1880C4—1721no—
1881C4—1721no—
1882C4H(5,𝔽2)×D4311yescharacteristic
1883C4H(5,𝔽2)×D4311yescharacteristic
1884C2—41no—
1885C2—81no—
1886C2—81no—
1887C2—862no—
1888C2—3441no—
1889C2—3441no—
1890C2—3441no—
1891C2—3441no—
1892C2—3441no—
1893C2—1721no—
1894C2#535×D4311yescharacteristic
1895C2#1914936511yescharacteristic
1896C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3225C2
socleC22×C43C23×D4
hypercenter#3225D43
hypocenterC43#60834
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3225

Complements

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

NH ≅ G/Ntype
1. #19148384C2semidirect
2. #19148015C2semidirect
3. #19145711C2semidirect
4. #19145696C2semidirect
5. #19145683C2semidirect
6. #19145656C2semidirect
7. #19145655C2semidirect
8. #19145647C2semidirect
9. #19145642C2semidirect
10. #19145636C2semidirect
11. #19145629C2semidirect
12. #19145583C2semidirect
13. #19145581C2semidirect
14. #19145565C2semidirect
15. #19145555C2semidirect
16. #19145531C2semidirect
17. #19145526C2semidirect
18. #19145077C2semidirect
19. #19145070C2semidirect
20. #19144955C2semidirect
21. #19144946C2semidirect
22. #19144086C2semidirect
23. #19144060C2semidirect
24. #19144053C2semidirect
25. #463×D43C2semidirect
26. #19143911C2semidirect
27. #19143903C2semidirect
28. #19143876C2semidirect
29. #19143860C2semidirect
30. #19143258C2semidirect
31. C43×#3225C2semidirect
34. C2×#13063357C22semidirect
37. C2×#13063352C22semidirect
39. C2×#13063348C22semidirect
40. C2×SD16×D43C22semidirect
50. #14583526C22semidirect
51. #14583521C22semidirect
53. #14583504C22semidirect
55. #14583500C22semidirect
60. #14583474C22semidirect
61. #14583468C22semidirect
63. #14583467C22semidirect
64. #14583467C22semidirect
67. #14583450C22semidirect
68. #14583450C22semidirect
70. #14583445C22semidirect
71. #14583444C22semidirect
72. #14583435C22semidirect
74. #14583428C22semidirect
75. C2×#13063314C22semidirect
77. #124×D43C22semidirect
80. C4×#10621902C22semidirect
82. C4×D4×D43C22semidirect
83. #14583292C22semidirect
84. #14583289C22semidirect
85. #14583289C22semidirect
86. #14583288C22semidirect
87. #14583285C22semidirect
88. #14583285C22semidirect
89. #14583285C22semidirect
90. #14583284C22semidirect
91. #14583284C22semidirect
92. #14583281C22semidirect
93. #14583276C22semidirect
94. #14583274C22semidirect
95. #14583273C22semidirect
96. #14583270C22semidirect
97. #14583267C22semidirect
98. #14583266C22semidirect
99. #14583264C22semidirect
100. #14583262C22semidirect
101. #14583261C22semidirect
102. #14583260C22semidirect
103. #14583260C22semidirect
104. #14583255C22semidirect
105. #14583255C22semidirect
106. #14583254C22semidirect
107. #14583253C22semidirect
108. #14583248C22semidirect
109. #14583247C22semidirect
110. #14583244C22semidirect
111. #14583123C22semidirect
112. #14583123C22semidirect
113. #14583123C22semidirect
114. #14583121C22semidirect
115. #14583119C22semidirect
116. #14583117C22semidirect
117. #14583117C22semidirect
118. #14583117C22semidirect
119. #14583117C22semidirect
120. #14583117C22semidirect
121. #14583117C22semidirect
122. #14583116C22semidirect
123. #14583116C22semidirect
124. #14583116C22semidirect
125. #14583115C22semidirect
126. #14583115C22semidirect
127. #14583114C22semidirect
128. #14583113C22semidirect
129. #14583113C22semidirect
130. #14583112C22semidirect
131. #14583111C22semidirect
132. #14583111C22semidirect
133. #14583101C22semidirect
134. #14583101C22semidirect
135. #14583099C22semidirect
136. #14583095C22semidirect
137. #14583095C22semidirect
138. #14583094C22semidirect
139. #14583060C22semidirect
140. #14583060C22semidirect
141. #14583059C22semidirect
142. #14583053C22semidirect
143. #14583049C22semidirect
144. #14583048C22semidirect
146. #14583047C22semidirect
147. #14583047C22semidirect
148. #14583047C22semidirect
149. #14583046C22semidirect
150. #14583046C22semidirect
152. #14583044C22semidirect
154. #14583043C22semidirect
155. #14583042C22semidirect
156. #14583039C22semidirect
157. #14583039C22semidirect
158. #14583038C22semidirect
159. #14583038C22semidirect
160. #14583036C22semidirect
162. #14583035C22semidirect
164. #14583034C22semidirect
167. #14582960C22semidirect
168. #14582959C22semidirect
169. #14582959C22semidirect
170. #14582954C22semidirect
171. #14582953C22semidirect
172. #14582950C22semidirect
173. #14582949C22semidirect
174. #14582921C22semidirect
175. C4⋊C8×D43C22semidirect
176. #14582906C22semidirect
179. #14582899C22semidirect
181. #14582894C22semidirect
182. #103×D43C22semidirect
186. #14582856C22semidirect
187. #14582853C22semidirect
188. C43×#542C22semidirect
189. C43×#536C22semidirect
190. C43×#497C22semidirect
191. C43×#495C22semidirect
192. C43×#489C22semidirect
193. C43×#487C22semidirect
194. C43×#464C22semidirect
195. C43×#463C22semidirect
196. C43×#462C22semidirect
197. C43×#461C22semidirect
198. C43×#452C22semidirect
199. C43×#451C22semidirect
201. C43×#448C22semidirect
202. C43×#433C22semidirect
939. #3225D43semidirect
1001. #542C2×D43semidirect
1010. #536C2×D43semidirect
1034. #497C2×D43semidirect
1044. #495C2×D43semidirect
1056. #489C2×D43semidirect
1062. #487C2×D43semidirect
1070. #464C2×D43semidirect
1088. #463C2×D43semidirect
1089. #462C2×D43semidirect
1092. #461C2×D43semidirect
1100. #452C2×D43semidirect
1102. #451C2×D43semidirect
1122. #448C2×D43semidirect
1132. #433C2×D43semidirect
1151. C43#60834semidirect

Maximal subgroups

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

subgroupindex
#191483842
#191480152
#191457112
#191456962
#191456832
#191456562
#191456552
#191456472
#191456422
#191456362
#191456292
#191455832
#191455812
#191455652
#191455552
#191455312
#191455262
#191450772
#191450702
#191449552
#191449462
#191440862
#191440602
#191440532
#463×D432
#191439112
#191439032
#191438762
#191438602
#191432582
C43×#32252
#6083443