Finite Group Databasebeta

← #25968457

Subgroups — #25968457

Order 11008.

2082 conjugacy classes of subgroups.

The subgroup lattice has 1880 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148500C211yesmaximal, characteristic, complemented
2#19148384C211yesmaximal, characteristic, complemented
3#19145707C211yesmaximal, characteristic, complemented
4#19145704C211yesmaximal, characteristic, complemented
5#19145699C211yesmaximal, characteristic, complemented
6#19145691C211yesmaximal, characteristic, complemented
7#19145690C211yesmaximal, characteristic, complemented
8#19145683C211yesmaximal, characteristic, complemented
9#19145682C211yesmaximal, characteristic, complemented
10#19145605C211yesmaximal, characteristic, complemented
11#19145603C211yesmaximal, characteristic, complemented
12#19145597C211yesmaximal, characteristic, complemented
13#19145596C211yesmaximal, characteristic, complemented
14#19145589C211yesmaximal, characteristic, complemented
15#19145587C211yesmaximal, characteristic, complemented
16#19145581C211yesmaximal, characteristic, complemented
17#19145580C211yesmaximal, characteristic, complemented
18#19145056C211yesmaximal, characteristic, complemented
19#19145039C211yesmaximal, characteristic, complemented
20#19144990C211yesmaximal, characteristic, complemented
21#489×D43C211yesmaximal, characteristic, complemented
22#19144142C211yesmaximal, characteristic, complemented
23#19144140C211yesmaximal, characteristic, complemented
24#19144137C211yesmaximal, characteristic, complemented
25#19144135C211yesmaximal, characteristic, complemented
26#19143911C211yesmaximal, characteristic, complemented
27#19143905C211yesmaximal, characteristic, complemented
28#19143903C211yesmaximal, characteristic, complemented
29#19143897C211yesmaximal, characteristic, complemented
30#19143243C211yesmaximal, characteristic, complemented
31C43×#3225C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic
33C2×#13063371C2211yescharacteristic
34C2×#13063357C2211yescharacteristic, complemented
35C2×#13063354C2211yescharacteristic, complemented
36C2×#13063352C2211yescharacteristic
37C2×#13063349C2211yescharacteristic
38C2×#13063348C2211yescharacteristic
39C2×#13063348C2211yescharacteristic, complemented
40C2×#13063346C2211yescharacteristic
41C2×#13063346C2211yescharacteristic, complemented
42#14583616—21no—
43#14583611—21no—
44#14583603—21no—
45#14583600—21no—
46#14583594—21no—
47#14583559—21no—
48#14583559—21no—
49#14583559—21no—
50#14583557—21no—
51#14583547—21no—
52#14583541—21no—
53#14583541—21no—
54#14583541—21no—
55#14583541—21no—
56#14583540—21no—
57#14583540—21no—
58#14583523C2211yescharacteristic, complemented
59#14583520C2211yescharacteristic, complemented
60#14583518C2211yescharacteristic, complemented
61#14583479C2211yescharacteristic
62#14583478C2211yescharacteristic
63#14583474C2211yescharacteristic
64#14583474C2211yescharacteristic
65#14583468C2211yescharacteristic
66#14583467C2211yescharacteristic
67#14583467C2211yescharacteristic
68#14583453C2211yescharacteristic, complemented
69#14583451C2211yescharacteristic, complemented
70#14583450C2211yescharacteristic
71#14583450C2211yescharacteristic
72#14583448C2211yescharacteristic, complemented
73#14583446C2211yescharacteristic, complemented
74#14583445C2211yescharacteristic
75#14583444C2211yescharacteristic, complemented
76C4⋊Q8×D43C2211yescharacteristic, complemented
77C2×#13063314C2211yescharacteristic
78#124×D43C2211yescharacteristic
79#124×D43C2211yescharacteristic
80#14583381C2211yescharacteristic, complemented
81#14583378C2211yescharacteristic, complemented
82#14583367C2211yescharacteristic
83#14583292C2211yescharacteristic, complemented
84#14583292C2211yescharacteristic, complemented
85#14583292C2211yescharacteristic, complemented
86#14583291C2211yescharacteristic, complemented
87#14583290C2211yescharacteristic, complemented
88#14583289C2211yescharacteristic, complemented
89#14583288C2211yescharacteristic, complemented
90#14583287C2211yescharacteristic, complemented
91#14583285C2211yescharacteristic, complemented
92#14583285C2211yescharacteristic, complemented
93#14583285C2211yescharacteristic, complemented
94#14583283C2211yescharacteristic, complemented
95#14583281C2211yescharacteristic, complemented
96#14583281C2211yescharacteristic, complemented
97#14583261C2211yescharacteristic, complemented
98#14583260C2211yescharacteristic, complemented
99#14583260C2211yescharacteristic, complemented
100#14583260C2211yescharacteristic, complemented
101#14583260C2211yescharacteristic, complemented
102#14583260C2211yescharacteristic, complemented
103#14583260C2211yescharacteristic, complemented
104#14583259C2211yescharacteristic, complemented
105#14583258C2211yescharacteristic, complemented
106#14583257C2211yescharacteristic, complemented
107#14583257C2211yescharacteristic, complemented
108#14583249C2211yescharacteristic, complemented
109#14583247C2211yescharacteristic, complemented
110#14583246C2211yescharacteristic, complemented
111#14583124C2211yescharacteristic, complemented
112#14583124C2211yescharacteristic, complemented
113#14583123C2211yescharacteristic, complemented
114#14583123C2211yescharacteristic, complemented
115#14583122C2211yescharacteristic, complemented
116#14583121C2211yescharacteristic, complemented
117#14583118C2211yescharacteristic, complemented
118#14583117C2211yescharacteristic, complemented
119#14583117C2211yescharacteristic, complemented
120#14583116C2211yescharacteristic, complemented
121#14583116C2211yescharacteristic, complemented
122#14583115C2211yescharacteristic, complemented
123#14583114C2211yescharacteristic, complemented
124#14583111C2211yescharacteristic, complemented
125#14583108C2211yescharacteristic, complemented
126#14583107C2211yescharacteristic, complemented
127#14583106C2211yescharacteristic, complemented
128#14583103C2211yescharacteristic, complemented
129#14583102C2211yescharacteristic, complemented
130#14583101C2211yescharacteristic, complemented
131#14583100C2211yescharacteristic, complemented
132#14583099C2211yescharacteristic, complemented
133#14583098C2211yescharacteristic, complemented
134#14583097C2211yescharacteristic, complemented
135#14583095C2211yescharacteristic, complemented
136#14583094C2211yescharacteristic, complemented
137#14583093C2211yescharacteristic, complemented
138#14583092C2211yescharacteristic, complemented
139#14583064C2211yescharacteristic
140#14583064C2211yescharacteristic, complemented
141#14583063C2211yescharacteristic, complemented
142#14583061C2211yescharacteristic
143#14583060C2211yescharacteristic
144#14583060C2211yescharacteristic, complemented
145#14583059C2211yescharacteristic, complemented
146#14583056C2211yescharacteristic, complemented
147#14583055C2211yescharacteristic, complemented
148#14583053C2211yescharacteristic, complemented
149#14583052C2211yescharacteristic
150#14583051C2211yescharacteristic
151#14583049C2211yescharacteristic
152#14583048C2211yescharacteristic
153#14583047C2211yescharacteristic
154#14583047C2211yescharacteristic, complemented
155#14583046C2211yescharacteristic, complemented
156#14583044C2211yescharacteristic
157#14583043C2211yescharacteristic
158#14583043C2211yescharacteristic, complemented
159#14583042C2211yescharacteristic, complemented
160#14583039C2211yescharacteristic, complemented
161#14583038C2211yescharacteristic, complemented
162#14583036C2211yescharacteristic, complemented
163#14583035C2211yescharacteristic
164#14583034C2211yescharacteristic
165#14583032C2211yescharacteristic
166#14583031C2211yescharacteristic
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#14582899C2211yescharacteristic
177#14582899C2211yescharacteristic
178#14582899C2211yescharacteristic, complemented
179#14582899C2211yescharacteristic, complemented
180#103×D43C2211yescharacteristic, complemented
181#103×D43C2211yescharacteristic, complemented
182#102×D43C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186C4×#10621872C2211yescharacteristic, complemented
187#97×D43C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic, complemented
189C43×#536C2211yescharacteristic
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
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×#10621902C2311yescharacteristic
209C2×#10621902C2311yescharacteristic
210C2×#10621902C2311yescharacteristic
211C2×#10621902C2311yescharacteristic
212C2×#10621902C2311yescharacteristic
213C2×#10621898—21no—
214C2×#10621898—21no—
215C2×#10621898—21no—
216C2×#10621898—21no—
217C2×#10621898C2311yescharacteristic
218C2×#10621898C2311yescharacteristic
219C2×#10621900—21no—
220C2×#10621900C2311yescharacteristic
221C2×Q8×D43—21no—
222C2×Q8×D43—21no—
223C2×Q8×D43C2311yescharacteristic
224C2×Q8×D43C2311yescharacteristic
225C22×D172—21no—
226C22×D172C2311yescharacteristic
227C2×D4×D43—21no—
228C2×D4×D43—21no—
229C2×D4×D43C2311yescharacteristic
230C2×D4×D43C2311yescharacteristic
231#13063357—42no—
232#13063354—42no—
233#13063352—42no—
234#13063349—42no—
235#13063348—42no—
236#13063348—42no—
237#13063346—42no—
238#13063346—42no—
239C2×Dic172C2311yescharacteristic
240C2×#10621885C2311yescharacteristic
241C2×#10621885C2311yescharacteristic
242C2×#10621885C2311yescharacteristic
243C2×#10621885C2311yescharacteristic
244C2×#10621873C2311yescharacteristic
245C2×#10621873C2311yescharacteristic
246C2×#10621873C2311yescharacteristic
247C2×#10621873C2311yescharacteristic
248C2×#10621883C2311yescharacteristic
249C2×#10621883C2311yescharacteristic
250C2×#10621884C2311yescharacteristic
251C2×#10621884C2311yescharacteristic
252C2×#10621884C2311yescharacteristic
253C2×#10621884C2311yescharacteristic
254C2×#10621884C2311yescharacteristic
255C2×#10621884C2311yescharacteristic
256C2×D344C2311yescharacteristic
257C2×D344C2311yescharacteristic
258C2×D344C2311yescharacteristic
259C2×#10621882C2311yescharacteristic
260C2×#10621882C2311yescharacteristic
261C2×#10621882C2311yescharacteristic
262C2×#10621882C2311yescharacteristic
263C2×#10621872C2311yescharacteristic
264C2×#10621872C2311yescharacteristic
265C2×C8×D43C2311yescharacteristic
266C2×C8×D43C2311yescharacteristic
267#13063325C2311yescharacteristic
268#13063324—21no—
269#13063324C2311yescharacteristic
270#13063324C2311yescharacteristic
271#13063323—21no—
272#13063323C2311yescharacteristic
273#13063323C2311yescharacteristic
274#13063322C2311yescharacteristic
275#13063322C2311yescharacteristic
276#13063321C2311yescharacteristic
277#13063321C2311yescharacteristic
278#13063320—21no—
279#13063320—21no—
280#13063318—21no—
281#13063315—21no—
282#13063315—21no—
283#13063314—21no—
284#13063314—21no—
285#13063314—21no—
286#13063314C2311yescharacteristic
287#13063314C2311yescharacteristic
288#13063314C2311yescharacteristic
289#13063314C2311yescharacteristic
290#13063314C2311yescharacteristic
291#13063313C2311yescharacteristic
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#13063311—21no—
302#13063311—21no—
303#13063310—21no—
304#13063310—21no—
305#13063310—21no—
306#13063310—21no—
307#13063310—21no—
308#13063309—21no—
309#13063307—21no—
310#13063305C2311yescharacteristic
311#13063304C2311yescharacteristic
312#13063303—21no—
313#13063303—21no—
314#13063303—21no—
315#13063303—21no—
316#13063303—21no—
317#13063303—21no—
318#13063303—21no—
319#13063302—21no—
320#13063302—21no—
321#13063302—21no—
322#13063301—21no—
323#13063301C2311yescharacteristic
324#13063300—21no—
325#13063300—21no—
326#13063300—21no—
327#13063300—21no—
328#13063300—21no—
329#13063300—21no—
330#13063300—21no—
331#13063300C2311yescharacteristic
332#13063299C2311yescharacteristic
333#13063298—21no—
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#13063297—21no—
344#13063297—21no—
345#13063297—21no—
346#13063297—21no—
347#13063296—21no—
348#13063296C2311yescharacteristic
349#13063295—21no—
350#13063295—21no—
351#13063295—21no—
352#13063295—21no—
353#13063295—21no—
354#13063295—21no—
355Q8×Dic43C2311yescharacteristic
356C4×Dic86—21no—
357C4×Dic86C2311yescharacteristic
358#13063290—21no—
359#13063290D411yescharacteristic
360#13063290D411yescharacteristic
361#13063290C2311yescharacteristic
362C4×D172—21no—
363C4×D172C2311yescharacteristic
364D4×Dic43C2311yescharacteristic
365#13063287—21no—
366#13063287—21no—
367#13063287—21no—
368#13063287—21no—
369#13063287—21no—
370#13063287D411yescharacteristic
371#13063287D411yescharacteristic
372#13063287C2311yescharacteristic
373C4×C22⋊D43—21no—
374C4×C22⋊D43—21no—
375C4×C22⋊D43—21no—
376C4×C22⋊D43—21no—
377(C22⋊D43)⋊C4—21no—
378(C22⋊D43)⋊C4—21no—
379(C22⋊D43)⋊C4—21no—
380(C22⋊D43)⋊C4—21no—
381(C22⋊D43)⋊C4D411yescharacteristic
382(C22⋊D43)⋊C4D411yescharacteristic
383(C22⋊D43)⋊C4D411yescharacteristic
384(C22⋊D43)⋊C4D411yescharacteristic
385#13063282—21no—
386#13063282—21no—
387#13063282C2311yescharacteristic
388#13063282C2311yescharacteristic
389#13063281—21no—
390#13063281—21no—
391C2×Dic43⋊C4—21no—
392C4⋊C4×D43—21no—
393C4⋊C4×D43—21no—
394C4⋊C4×D43C2311yescharacteristic
395C4⋊C4×D43C2311yescharacteristic
396C2×(C2×D43)⋊C4—21no—
397C2×(C2×D43)⋊C4—21no—
398C22⋊C4×D43—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#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
444#13063235C2311yescharacteristic
445#13063235C2311yescharacteristic
446C4×C43⋊C8C2311yescharacteristic
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—
493#41×C43—41no—
494#41×C43—41no—
495C2×Q8×C43—21no—
496C2×Q8×C43—21no—
497C2×Q8×C43—41no—
498C2×Q8×C43—41no—
499C2×Q8×C43C2411yescharacteristic
500C2×Q8×C43C2411yescharacteristic
501C2×Q8×C43C2411yescharacteristic
502C2×Q8×C43C2411yescharacteristic
503C2×D4×C43—21no—
504C2×D4×C43—21no—
505C2×D4×C43C2411yescharacteristic
506C2×D4×C43C2411yescharacteristic
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43—21no—
510C22×C4×C43C2411yescharacteristic
511C2×C22⋊D43—21no—
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⋊D43C2×D411yescharacteristic
522C2×C22⋊D43C2×D411yescharacteristic
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43C2×D411yescharacteristic
526C22×Dic43C2×D411yescharacteristic
527#10621902—22no—
528#10621902—22no—
529#10621902—22no—
530#10621902—22no—
531#10621902—22no—
532#10621902—22no—
533#10621902—41no—
534#10621902—41no—
535#10621902—41no—
536#10621902—41no—
537#10621902—44no—
538Q8×D43—22no—
539Q8×D43—22no—
540Q8×D43—41no—
541Q8×D43—41no—
542Q8×D43—44no—
543Q8×D43—82no—
544#10621900—22no—
545#10621900—22no—
546#10621900—82no—
547D4×D43—22no—
548D4×D43—22no—
549D4×D43—41no—
550D4×D43—41no—
551D4×D43—44no—
552D4×D43—44no—
553#10621898—22no—
554#10621898—22no—
555#10621898—41no—
556#10621898—41no—
557#10621898—44no—
558#10621898—44no—
559#10621898—44no—
560#10621898—82no—
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—41no—
573C2×D172—41no—
574C2×D172—44no—
575C2×D172C2×D411yescharacteristic
576C2×D172C2411yescharacteristic
577C2×D172C2411yescharacteristic
578C2×D172C2411yescharacteristic
579C2×D172C2411yescharacteristic
580C2×C4×D43—21no—
581C2×C4×D43—21no—
582C2×C4×D43—21no—
583C2×C4×D43—21no—
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×D43C2×D411yescharacteristic
593C2×C4×D43C2×D411yescharacteristic
594C2×C4×D43C2×D411yescharacteristic
595C2×C4×D43C2×D411yescharacteristic
596C2×C4×D43C2411yescharacteristic
597C2×C4×D43C2411yescharacteristic
598C2×Dic86—21no—
599C2×Dic86—21no—
600C2×Dic86—21no—
601C2×Dic86—21no—
602C2×Dic86—21no—
603C2×Dic86C2×D411yescharacteristic
604C2×Dic86C2411yescharacteristic
605C2×Dic86C2411yescharacteristic
606Q16×C43—41no—
607Q16×C43—41no—
608Q16×C43—41no—
609SD16×C43—41no—
610SD16×C43—41no—
611SD16×C43—41no—
612SD16×C43—41no—
613D8×C43—41no—
614C2×C8×C43C2411yescharacteristic
615C2×C8×C43C2411yescharacteristic
616C2×C8×C43C2411yescharacteristic
617C2×C8×C43C2411yescharacteristic
618C4⋊C4×C43—21no—
619C4⋊C4×C43—21no—
620C4⋊C4×C43—21no—
621C4⋊C4×C43—21no—
622C4⋊C4×C43—21no—
623C4⋊C4×C43—21no—
624C4⋊C4×C43—21no—
625C4⋊C4×C43C2×D411yescharacteristic
626C4⋊C4×C43C2×D411yescharacteristic
627C4⋊C4×C43C2411yescharacteristic
628C4⋊C4×C43C2411yescharacteristic
629C22⋊C4×C43—21no—
630C22⋊C4×C43—21no—
631C22⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
639C22⋊C4×C43C2×D411yescharacteristic
640C42×C43—21no—
641C42×C43C2411yescharacteristic
642C42×C43C2411yescharacteristic
643C22⋊Dic43—21no—
644C22⋊Dic43—21no—
645C22⋊Dic43—21no—
646C22⋊Dic43—21no—
647C22⋊Dic43—21no—
648#10621885—41no—
649#10621885—41no—
650#10621885—41no—
651#10621885—41no—
652#10621884—41no—
653#10621884—41no—
654#10621884—41no—
655#10621884—41no—
656#10621884—41no—
657#10621884—41no—
658#10621883—41no—
659#10621883—41no—
660#10621882—41no—
661#10621882—41no—
662#10621882—41no—
663#10621882—41no—
664(C2×D43)⋊C4—21no—
665(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
687(C2×D43)⋊C4C2×D411yescharacteristic
688(C2×D43)⋊C4C2×D411yescharacteristic
689(C2×D43)⋊C4C2×D411yescharacteristic
690C4⋊Dic43—21no—
691C4⋊Dic43—21no—
692C4⋊Dic43—21no—
693C4⋊Dic43C2411yescharacteristic
694C4⋊Dic43C2411yescharacteristic
695Dic43⋊C4—21no—
696Dic43⋊C4—21no—
697Dic43⋊C4—21no—
698Dic43⋊C4—21no—
699Dic43⋊C4—21no—
700Dic43⋊C4—21no—
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4—21no—
707Dic43⋊C4C2×D411yescharacteristic
708Dic43⋊C4C2×D411yescharacteristic
709Dic43⋊C4C2×D411yescharacteristic
710Dic43⋊C4C2×D411yescharacteristic
711C4×Dic43—21no—
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
726Dic172—41no—
727D344—41no—
728D344—41no—
729D344—41no—
730#10621873—41no—
731#10621873—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—42no—
746C22×D43—42no—
747C22×D43—42no—
748C22×D43—81no—
749C22×D43—81no—
750C22×D43—81no—
751C22×D43—81no—
752C22×D43—81no—
753C22×D43—81no—
754C22×D43C22×D411yescharacteristic
755C22×D43C22×D411yescharacteristic
756Q8×C43—21no—
757Q8×C43—21no—
758Q8×C43—21no—
759Q8×C43—21no—
760Q8×C43—21no—
761Q8×C43—21no—
762Q8×C43—21no—
763Q8×C43—21no—
764Q8×C43—42no—
765Q8×C43—81no—
766D4×C43—21no—
767D4×C43—21no—
768D4×C43—21no—
769D4×C43—21no—
770D4×C43—42no—
771D4×C43—81no—
772C2×C4×C43—21no—
773C2×C4×C43—21no—
774C2×C4×C43—21no—
775C2×C4×C43—21no—
776C2×C4×C43—21no—
777C2×C4×C43—21no—
778C2×C4×C43—21no—
779C2×C4×C43—21no—
780C2×C4×C43—42no—
781C2×C4×C43—42no—
782C2×C4×C43—81no—
783C2×C4×C43C22×D411yescharacteristic
784C2×C4×C43C22×D411yescharacteristic
785C2×C4×C43C22×D411yescharacteristic
786C2×C4×C43C22×D411yescharacteristic
787C2×C4×C43C22×D411yescharacteristic
788C2×C4×C43C2511yescharacteristic
789C22⋊D43—22no—
790C22⋊D43—22no—
791C22⋊D43—42no—
792C22⋊D43—42no—
793C22⋊D43—42no—
794C22⋊D43—42no—
795C22⋊D43—42no—
796C22⋊D43—42no—
797C22⋊D43—81no—
798C22⋊D43—81no—
799C22⋊D43—81no—
800C22⋊D43—81no—
801C2×Dic43—21no—
802C2×Dic43—21no—
803C2×Dic43—21no—
804C2×Dic43—21no—
805C2×Dic43—41no—
806C2×Dic43—41no—
807C2×Dic43—42no—
808C2×Dic43—81no—
809C2×Dic43C22×D411yescharacteristic
810C2×Dic43C22×D411yescharacteristic
811C2×Dic43C22×D411yescharacteristic
812C2×Dic43C22×D411yescharacteristic
813C2×Dic43C22×D411yescharacteristic
814C2×Dic43C22×D411yescharacteristic
815D172—22no—
816D172—21no—
817D172—21no—
818D172—21no—
819D172—21no—
820D172—21no—
821D172—21no—
822D172—21no—
823D172—21no—
824D172—42no—
825D172—42no—
826D172—42no—
827D172—42no—
828D172—42no—
829D172—42no—
830D172—81no—
831D172—81no—
832D172—81no—
833D172—81no—
834D172—81no—
835C4×D43—21no—
836C4×D43—21no—
837C4×D43—41no—
838C4×D43—41no—
839C4×D43—41no—
840C4×D43—41no—
841C4×D43—42no—
842C4×D43—42no—
843C4×D43—42no—
844C4×D43—42no—
845C4×D43—42no—
846C4×D43—42no—
847C4×D43—42no—
848C4×D43—42no—
849C4×D43—81no—
850C4×D43—81no—
851C4×D43—81no—
852C4×D43—81no—
853C4×D43H(5,𝔽2)12yes—
854C4×D43H(5,𝔽2)12yes—
855Dic86—22no—
856Dic86—21no—
857Dic86—21no—
858Dic86—21no—
859Dic86—21no—
860Dic86—42no—
861Dic86—42no—
862Dic86—42no—
863Dic86—42no—
864Dic86—81no—
865C8×C43—21no—
866C8×C43—21no—
867C8×C43—21no—
868C8×C43—21no—
869C43⋊C8—21no—
870C43⋊C8—21no—
871C43⋊C8—21no—
872C43⋊C8—21no—
873#60829—431nomaximal, Sylow
874C22×C43—21no—
875C22×C43—21no—
876C22×C43—21no—
877C22×C43—41no—
878C22×C43—41no—
879C22×C43—41no—
880C22×C43—41no—
881C22×C43—41no—
882C22×C43—41no—
883C22×C43C23×D411yescharacteristic
884C2×D43—21no—
885C2×D43—21no—
886C2×D43—21no—
887C2×D43—21no—
888C2×D43—21no—
889C2×D43—41no—
890C2×D43—41no—
891C2×D43—41no—
892C2×D43—41no—
893C2×D43—41no—
894C2×D43—41no—
895C2×D43—41no—
896C2×D43—41no—
897C2×D43—41no—
898C2×D43—41no—
899C2×D43—41no—
900C2×D43—41no—
901C2×D43—162no—
902C2×D43—162no—
903C2×D43—162no—
904C2×D43#53512yes—
905C4×C43—21no—
906C4×C43—21no—
907C4×C43—21no—
908C4×C43—21no—
909C4×C43—21no—
910C4×C43—41no—
911C4×C43—41no—
912C4×C43—41no—
913C4×C43—41no—
914C4×C43—41no—
915C4×C43—41no—
916C4×C43C2×H(5,𝔽2)11yescharacteristic
917C4×C43C2×H(5,𝔽2)11yescharacteristic
918Dic43—21no—
919Dic43—21no—
920Dic43—21no—
921Dic43—21no—
922Dic43—21no—
923Dic43—41no—
924Dic43—41no—
925Dic43—41no—
926Dic43—41no—
927Dic43#53512yes—
928#3511—431no—
929#3500—431no—
930#3225—431no—
931#3225—431no—
932#3225—431no—
933#3225D4311yescharacteristic, complemented
934#3224—431no—
935#3224—431no—
936#3224—431no—
937#3224—431no—
938#3216—431no—
939#3216—431no—
940#3215—431no—
941#3215—431no—
942#3214—431no—
943#3214—431no—
944#3213—431no—
945#3213—431no—
946#3153—431no—
947#3150—431no—
948#3141—431no—
949C2×#489—431no—
950#3046—431no—
951#3046—431no—
952#3045—431no—
953#3045—431no—
954#3013—431no—
955#3013—431no—
956#3012—431no—
957#3012—431no—
958#2923—431no—
959C2×C43—41no—
960C2×C43—81no—
961C2×C43—81no—
962C2×C43C2×#53511yescharacteristic
963C2×C43#358511yescharacteristic
964C2×C43#358611yescharacteristic
965D43—22no—
966D43—41no—
967D43—81no—
968D43—81no—
969D43—81no—
970D43—81no—
971C2×2−1+4—431no—
972C2×H(5,𝔽2)—431no—
973C2×#137—431no—
974C2×#137—431no—
975C2×AGL(1,ℤ/8)—431no—
976C2×AGL(1,ℤ/8)—431no—
977C2×#135—431no—
978C2×#135—431no—
979C2×#135—431no—
980C2×#135—431no—
981#556—861no—
982#555—861no—
983#554—861no—
984#553—861no—
985#553—861no—
986#548—861no—
987#548—861no—
988#548—861no—
989#548—861no—
990#547—861no—
991#546—861no—
992#546—861no—
993#546—861no—
994#546—861no—
995#546—861no—
996#546—861no—
997#542—431no—
998#542—431no—
999#542—431no—
1000#542C2×D4311yescharacteristic, complemented
1001#537—431no—
1002#537—431no—
1003#536—431no—
1004#536—431no—
1005#536C2×D4311yescharacteristic
1006#535—431no—
1007#535—431no—
1008#535—431no—
1009#533—431no—
1010#533—431no—
1011#532—431no—
1012#532—431no—
1013#532—431no—
1014#532—431no—
1015#532—431no—
1016#532—431no—
1017C2×C4⋊Q8—431no—
1018C2×#124—431no—
1019C2×#124—431no—
1020C2×#124—431no—
1021#520—431no—
1022#520—431no—
1023C4×#41—431no—
1024#497—431no—
1025#497—431no—
1026#497—431no—
1027#497—431no—
1028#497—431no—
1029#497C2×D4311yescharacteristic, complemented
1030#496—431no—
1031#496—431no—
1032#496—431no—
1033#496—431no—
1034#496—431no—
1035#496—431no—
1036#495—431no—
1037#495—431no—
1038#495—431no—
1039#495C2×D4311yescharacteristic, complemented
1040#489—431no—
1041#489—431no—
1042#489—431no—
1043#489—431no—
1044#489—431no—
1045#489—431no—
1046#489—431no—
1047#489—431no—
1048#489—431no—
1049#489—431no—
1050#489—431no—
1051#489C2×D4311yescharacteristic, complemented
1052#487—431no—
1053#487C2×D4311yescharacteristic, complemented
1054#486—431no—
1055#486—431no—
1056#464—431no—
1057#464—431no—
1058#464—431no—
1059#464—431no—
1060#464—431no—
1061#464—431no—
1062#464—431no—
1063#464C2×D4311yescharacteristic, complemented
1064#463—431no—
1065#463—431no—
1066#463—431no—
1067#463—431no—
1068#463—431no—
1069#463—431no—
1070#463—431no—
1071#463C2×D4311yescharacteristic, complemented
1072#462—431no—
1073#462—431no—
1074#462—431no—
1075#462C2×D4311yescharacteristic, complemented
1076#461—431no—
1077#461—431no—
1078#461—431no—
1079#461C2×D4311yescharacteristic, complemented
1080#460—431no—
1081#460—431no—
1082#460—431no—
1083#460—431no—
1084#459—431no—
1085#459—431no—
1086#459—431no—
1087#459—431no—
1088#452—431no—
1089#452—431no—
1090#452—431no—
1091#452—431no—
1092#452—431no—
1093#452—431no—
1094#452—431no—
1095#452C2×D4311yescharacteristic
1096#451—431no—
1097#451—431no—
1098#451—431no—
1099#451C2×D4311yescharacteristic, complemented
1100#450—431no—
1101#450—431no—
1102#450—431no—
1103#450—431no—
1104#449—431no—
1105#449—431no—
1106#449—431no—
1107#449—431no—
1108#449—431no—
1109#449—431no—
1110#449—431no—
1111#449C2×D4311yescharacteristic
1112#448—431no—
1113#448—431no—
1114#448—431no—
1115#448C2×D4311yescharacteristic, complemented
1116#447—431no—
1117#447—431no—
1118#447—431no—
1119#447—431no—
1120#433—431no—
1121#433—431no—
1122#433—431no—
1123#433C2×D4311yescharacteristic, complemented
1124#432—431no—
1125#432—431no—
1126#432—431no—
1127#432—431no—
1128#424—431no—
1129#424—431no—
1130#417—431no—
1131#417—431no—
1132#417—431no—
1133#417—431no—
1134C2×#103—431no—
1135C2×#103—431no—
1136C2×#102—431no—
1137C2×#102—431no—
1138#408—431no—
1139#408—431no—
1140C4×M16—431no—
1141C2×#97—431no—
1142C43#6082911yescharacteristic, complemented, Sylow
11432−1+4—1722no—
11442−1+4—1722no—
1145H(5,𝔽2)—1722no—
1146H(5,𝔽2)—1722no—
1147C2×#41—431no—
1148C2×#41—431no—
1149C2×#41—431no—
1150C2×#41—431no—
1151C2×#41—431no—
1152C2×#41—431no—
1153C2×#41—431no—
1154C2×#41—431no—
1155C2×#41—861no—
1156C2×#41—861no—
1157C2×#41—861no—
1158C2×#41—861no—
1159C2×#41—861no—
1160C2×#41—861no—
1161C2×#41C22×D4311yescharacteristic
1162C22×Q8—431no—
1163C22×Q8—431no—
1164C22×Q8—861no—
1165C22×Q8—861no—
1166C22×Q8C22×D4311yescharacteristic
1167C22×D4—431no—
1168C22×D4—431no—
1169C22×D4—431no—
1170C22×D4—861no—
1171C22×D4—861no—
1172C22×D4—861no—
1173#137—1722no—
1174#137—1722no—
1175AGL(1,ℤ/8)—1722no—
1176AGL(1,ℤ/8)—1722no—
1177#135—1722no—
1178#135—1722no—
1179#135—1722no—
1180#135—1722no—
1181C2×Q16—431no—
1182C2×Q16—431no—
1183C2×Q16—431no—
1184C2×Q16—431no—
1185C2×Q16—431no—
1186C2×Q16C22×D4311yescharacteristic
1187C2×Q16C22×D4311yescharacteristic
1188C2×Q16C22×D4311yescharacteristic
1189C2×SD16—431no—
1190C2×SD16—431no—
1191C2×SD16—431no—
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×SD16C22×D4311yescharacteristic
1202C2×SD16C22×D4311yescharacteristic
1203C2×SD16C22×D4311yescharacteristic
1204C2×SD16C22×D4311yescharacteristic
1205C2×D8—431no—
1206C2×D8—431no—
1207C2×D8—431no—
1208C2×D8—431no—
1209C2×D8—431no—
1210C2×D8—431no—
1211C2×D8—431no—
1212C2×D8C22×D4311yescharacteristic
1213C2×M16—431no—
1214C2×M16—431no—
1215C22×C8—431no—
1216C22×C8—431no—
1217C4⋊Q8—431no—
1218C4⋊Q8—431no—
1219C4⋊Q8—431no—
1220C4⋊Q8—431no—
1221C4⋊Q8—431no—
1222C4⋊Q8—861no—
1223C4⋊Q8—861no—
1224C4⋊Q8C22×D4311yescharacteristic
1225C4⋊Q8C22×D4311yescharacteristic
1226C4⋊Q8C22×D4311yescharacteristic
1227#127—431no—
1228#127—431no—
1229#127—431no—
1230#127—431no—
1231#126—21no—
1232#126—861no—
1233#126—861no—
1234#126—861no—
1235#125—861no—
1236#125—861no—
1237#124—21no—
1238#124—431no—
1239#124—431no—
1240#124—431no—
1241#124—431no—
1242#124—431no—
1243#124—431no—
1244#124—431no—
1245#124—431no—
1246#124—431no—
1247#124—861no—
1248#124—861no—
1249#124—861no—
1250#124—861no—
1251#124—861no—
1252#124—861no—
1253#124—861no—
1254#124—861no—
1255#124—861no—
1256#124—861no—
1257#124—861no—
1258#124C22×D4311yescharacteristic
1259#124C22×D4311yescharacteristic
1260#124C22×D4311yescharacteristic
1261#123—21no—
1262#123—21no—
1263#123—21no—
1264#123—861no—
1265#123—861no—
1266#123—861no—
1267#123—861no—
1268#123—861no—
1269#123—861no—
1270#123—861no—
1271C22⋊Q8—21no—
1272C22⋊Q8—21no—
1273C22⋊Q8—21no—
1274C22⋊Q8—431no—
1275C22⋊Q8—431no—
1276C22⋊Q8—431no—
1277C22⋊Q8—861no—
1278C22⋊Q8—861no—
1279C22⋊Q8—861no—
1280C22⋊Q8—861no—
1281C22⋊Q8—861no—
1282C22⋊Q8—861no—
1283C22⋊Q8—861no—
1284C22⋊Q8—861no—
1285C22⋊Q8—861no—
1286C22⋊Q8—861no—
1287C22⋊Q8—861no—
1288C22⋊Q8C22×D4311yescharacteristic
1289#121—431no—
1290#121—431no—
1291#121—431no—
1292#121—861no—
1293#121—861no—
1294#121—861no—
1295#121—861no—
1296#121—861no—
1297#121—861no—
1298#121—861no—
1299#121—861no—
1300#121—861no—
1301#121—861no—
1302#121—861no—
1303#121—861no—
1304#121—861no—
1305#121—861no—
1306#121—861no—
1307#121—861no—
1308#121—861no—
1309#121—861no—
1310#121—861no—
1311#121—861no—
1312#121—861no—
1313#121—861no—
1314#121C22×D4311yescharacteristic
1315#120—861no—
1316#120—861no—
1317#120—861no—
1318#120—861no—
1319#120—861no—
1320#120—861no—
1321C4×Q8—431no—
1322C4×Q8—431no—
1323C4×Q8—431no—
1324C4×Q8—431no—
1325C4×Q8—431no—
1326C4×Q8—861no—
1327C4×Q8—861no—
1328C4×Q8C22×D4311yescharacteristic
1329C4×D4—431no—
1330C4×D4—431no—
1331C4×D4—431no—
1332C4×D4—431no—
1333C4×D4—431no—
1334C4×D4—431no—
1335C4×D4—431no—
1336C4×D4—431no—
1337C4×D4—431no—
1338C4×D4—861no—
1339C4×D4—861no—
1340C4×D4—861no—
1341C4×D4—861no—
1342C4×D4—861no—
1343C4×D4—861no—
1344C4×D4—861no—
1345C4×D4—861no—
1346C4×D4—861no—
1347C4×D4—861no—
1348C4×D4—861no—
1349C4×D4—861no—
1350C4×D4—861no—
1351C4×D4—861no—
1352C4×D4C22×D4311yescharacteristic
1353#117—431no—
1354#117—431no—
1355#117—861no—
1356#117—861no—
1357#117—861no—
1358#117—861no—
1359#117C22×D4311yescharacteristic
1360C2×C4⋊C4—431no—
1361C2×C4⋊C4—431no—
1362C2×C4⋊C4—861no—
1363C2×C4⋊C4—861no—
1364C2×C4⋊C4—861no—
1365C2×C22⋊C4—861no—
1366C2×C22⋊C4—861no—
1367C2×C22⋊C4—861no—
1368C2×C22⋊C4—861no—
1369C2×C22⋊C4—861no—
1370C2×C22⋊C4—861no—
1371C2×C42—431no—
1372C2×C42—431no—
1373C2×C42—431no—
1374C4⋊C8—431no—
1375C4⋊C8—431no—
1376C4⋊C8—431no—
1377C4⋊C8—431no—
1378C4⋊C8—431no—
1379C4⋊C8—431no—
1380C4⋊C8C22×D4311yescharacteristic
1381C4⋊C8C22×D4311yescharacteristic
1382#103—431no—
1383#103—431no—
1384#103—431no—
1385#103—431no—
1386#103—431no—
1387#103—431no—
1388#103—431no—
1389#103—431no—
1390#103—431no—
1391#103—431no—
1392#103C22×D4311yescharacteristic
1393#103C22×D4311yescharacteristic
1394#103C22×D4311yescharacteristic
1395#103C22×D4311yescharacteristic
1396#103C22×D4311yescharacteristic
1397#103C22×D4311yescharacteristic
1398#102—431no—
1399#102—431no—
1400#102—431no—
1401#102—431no—
1402#102—431no—
1403#102—431no—
1404#102—431no—
1405#102—431no—
1406#102—431no—
1407#102—431no—
1408#102—431no—
1409#102—431no—
1410#102—431no—
1411#102—431no—
1412#102C22×D4311yescharacteristic
1413#102C22×D4311yescharacteristic
1414C22⋊C8—431no—
1415C22⋊C8—431no—
1416C22⋊C8—431no—
1417C22⋊C8—431no—
1418C22⋊C8—431no—
1419C22⋊C8—431no—
1420C22⋊C8C22×D4311yescharacteristic
1421C22⋊C8C22×D4311yescharacteristic
1422#97—431no—
1423#97—431no—
1424#97—431no—
1425#97—431no—
1426#97—431no—
1427#97C22×D4311yescharacteristic
1428C4×C8—431no—
1429C4×C8C22×D4311yescharacteristic
1430C24—861no—
1431C24—861no—
1432C24—861no—
1433#41—41no—
1434#41—41no—
1435#41—862no—
1436#41—862no—
1437#41—862no—
1438#41—862no—
1439#41—862no—
1440#41—862no—
1441#41—862no—
1442#41—862no—
1443#41—862no—
1444#41—862no—
1445#41—3442no—
1446#41—3442no—
1447#41—1721no—
1448#41—1721no—
1449#41—1724no—
1450#41—1724no—
1451#41—1724no—
1452#41—1721no—
1453#41—1721no—
1454#41—1721no—
1455#41—1721no—
1456#41—1724no—
1457C2×Q8—21no—
1458C2×Q8—21no—
1459C2×Q8—41no—
1460C2×Q8—41no—
1461C2×Q8—431no—
1462C2×Q8—431no—
1463C2×Q8—431no—
1464C2×Q8—861no—
1465C2×Q8—861no—
1466C2×Q8—861no—
1467C2×Q8—861no—
1468C2×Q8—862no—
1469C2×Q8—862no—
1470C2×Q8—861no—
1471C2×Q8—3442no—
1472C2×Q8—1721no—
1473C2×Q8—1721no—
1474C2×Q8—1724no—
1475C2×Q8C23×D4311yescharacteristic
1476C2×Q8C23×D4311yescharacteristic
1477C2×Q8C23×D4311yescharacteristic
1478C2×Q8C23×D4311yescharacteristic
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—431no—
1482C2×D4—431no—
1483C2×D4—431no—
1484C2×D4—431no—
1485C2×D4—431no—
1486C2×D4—431no—
1487C2×D4—431no—
1488C2×D4—861no—
1489C2×D4—861no—
1490C2×D4—861no—
1491C2×D4—861no—
1492C2×D4—861no—
1493C2×D4—861no—
1494C2×D4—862no—
1495C2×D4—862no—
1496C2×D4—861no—
1497C2×D4—861no—
1498C2×D4—861no—
1499C2×D4—861no—
1500C2×D4—861no—
1501C2×D4—861no—
1502C2×D4—861no—
1503C2×D4—861no—
1504C2×D4—861no—
1505C2×D4—861no—
1506C2×D4—861no—
1507C2×D4—861no—
1508C2×D4—861no—
1509C2×D4—861no—
1510C2×D4—861no—
1511C2×D4—1721no—
1512C2×D4—1721no—
1513C2×D4—1724no—
1514C2×D4—1721no—
1515C2×D4—1721no—
1516C2×D4—1724no—
1517C2×D4—1724no—
1518C2×D4C23×D4311yescharacteristic
1519C2×D4C23×D4311yescharacteristic
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—431no—
1524C22×C4—431no—
1525C22×C4—431no—
1526C22×C4—431no—
1527C22×C4—431no—
1528C22×C4—431no—
1529C22×C4—431no—
1530C22×C4—431no—
1531C22×C4—861no—
1532C22×C4—861no—
1533C22×C4—861no—
1534C22×C4—861no—
1535C22×C4—861no—
1536C22×C4—861no—
1537C22×C4—861no—
1538C22×C4—861no—
1539C22×C4—861no—
1540C22×C4—861no—
1541C22×C4—861no—
1542C22×C4—861no—
1543C22×C4—861no—
1544C22×C4—861no—
1545C22×C4C23×D4311yescharacteristic
1546Q16—41no—
1547Q16—41no—
1548Q16—41no—
1549Q16—1721no—
1550Q16—1721no—
1551Q16—1721no—
1552Q16—1721no—
1553Q16—1721no—
1554SD16—41no—
1555SD16—41no—
1556SD16—41no—
1557SD16—41no—
1558SD16—1721no—
1559SD16—1721no—
1560SD16—1721no—
1561SD16—1721no—
1562SD16—1721no—
1563SD16—1721no—
1564SD16—1721no—
1565SD16—1721no—
1566SD16—1721no—
1567SD16—1721no—
1568SD16—1721no—
1569SD16—1721no—
1570D8—41no—
1571D8—1721no—
1572D8—1721no—
1573D8—1721no—
1574D8—1721no—
1575D8—1721no—
1576D8—1721no—
1577D8—1721no—
1578M16—862no—
1579M16—862no—
1580C2×C8—431no—
1581C2×C8—431no—
1582C2×C8—431no—
1583C2×C8—431no—
1584C2×C8—862no—
1585C2×C8—862no—
1586C2×C8C23×D4311yescharacteristic
1587C2×C8C23×D4311yescharacteristic
1588C2×C8C23×D4311yescharacteristic
1589C2×C8C23×D4311yescharacteristic
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—431no—
1598C4⋊C4—431no—
1599C4⋊C4—431no—
1600C4⋊C4—431no—
1601C4⋊C4—431no—
1602C4⋊C4—431no—
1603C4⋊C4—861no—
1604C4⋊C4—861no—
1605C4⋊C4—861no—
1606C4⋊C4—861no—
1607C4⋊C4—861no—
1608C4⋊C4—861no—
1609C4⋊C4—861no—
1610C4⋊C4—861no—
1611C4⋊C4—861no—
1612C4⋊C4—861no—
1613C4⋊C4—861no—
1614C4⋊C4—861no—
1615C4⋊C4—861no—
1616C4⋊C4—861no—
1617C4⋊C4—861no—
1618C4⋊C4D4×D4311yescharacteristic
1619C4⋊C4D4×D4311yescharacteristic
1620C4⋊C4C23×D4311yescharacteristic
1621C4⋊C4C23×D4311yescharacteristic
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—431no—
1632C22⋊C4—431no—
1633C22⋊C4—431no—
1634C22⋊C4—431no—
1635C22⋊C4—861no—
1636C22⋊C4—861no—
1637C22⋊C4—861no—
1638C22⋊C4—861no—
1639C22⋊C4—861no—
1640C22⋊C4—861no—
1641C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1663C22⋊C4D4×D4311yescharacteristic
1664C42—21no—
1665C42—431no—
1666C42—431no—
1667C42—431no—
1668C42—431no—
1669C42—431no—
1670C42—431no—
1671C42—431no—
1672C42—431no—
1673C42—861no—
1674C42—861no—
1675C42—861no—
1676C42C23×D4311yescharacteristic
1677C42C23×D4311yescharacteristic
1678C23—21no—
1679C23—21no—
1680C23—431no—
1681C23—431no—
1682C23—861no—
1683C23—861no—
1684C23—861no—
1685C23—861no—
1686C23—3441no—
1687C23—3441no—
1688C23—3441no—
1689C23—3441no—
1690C23—3441no—
1691C23—3441no—
1692C23—1722no—
1693C23—1722no—
1694C23—1722no—
1695C23C2×D4×D4311yescharacteristic
1696Q8—21no—
1697Q8—21no—
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—42no—
1705Q8—81no—
1706Q8—862no—
1707Q8—861no—
1708Q8—861no—
1709Q8—861no—
1710Q8—861no—
1711Q8—3441no—
1712Q8—1722no—
1713Q8—1722no—
1714Q8—1722no—
1715Q8—1722no—
1716D4—21no—
1717D4—21no—
1718D4—21no—
1719D4—21no—
1720D4—42no—
1721D4—81no—
1722D4—862no—
1723D4—862no—
1724D4—862no—
1725D4—861no—
1726D4—861no—
1727D4—861no—
1728D4—861no—
1729D4—861no—
1730D4—861no—
1731D4—861no—
1732D4—861no—
1733D4—3441no—
1734D4—3441no—
1735D4—3441no—
1736D4—3441no—
1737D4—3441no—
1738D4—3441no—
1739D4—3441no—
1740D4—3441no—
1741D4—3441no—
1742D4—1722no—
1743D4—1722no—
1744D4—1722no—
1745D4—1722no—
1746D4—1722no—
1747D4—1722no—
1748D4—1722no—
1749D4—1722no—
1750D4—1722no—
1751D4—1722no—
1752D4—1722no—
1753D4—1722no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—42no—
1763C2×C4—42no—
1764C2×C4—81no—
1765C2×C4—431no—
1766C2×C4—432no—
1767C2×C4—432no—
1768C2×C4—431no—
1769C2×C4—431no—
1770C2×C4—431no—
1771C2×C4—431no—
1772C2×C4—431no—
1773C2×C4—861no—
1774C2×C4—861no—
1775C2×C4—861no—
1776C2×C4—861no—
1777C2×C4—861no—
1778C2×C4—861no—
1779C2×C4—3441no—
1780C2×C4—3441no—
1781C2×C4—3441no—
1782C2×C4—3441no—
1783C2×C4—3441no—
1784C2×C4—1721no—
1785C2×C4—1721no—
1786C2×C4—1721no—
1787C2×C4—1721no—
1788C2×C4—1722no—
1789C2×C4—1722no—
1790C2×C4—1722no—
1791C2×C4—1722no—
1792C2×C4—1722no—
1793C2×C4—1722no—
1794C2×C4—1722no—
1795C2×C4—1722no—
1796C2×C4—1722no—
1797C2×C4—1721no—
1798C2×C4—1721no—
1799C2×C4C2×D4×D4311yescharacteristic
1800C2×C4C2×D4×D4311yescharacteristic
1801C2×C4C2×D4×D4311yescharacteristic
1802C2×C4C2×D4×D4311yescharacteristic
1803C2×C4C2×D4×D4311yescharacteristic
1804C2×C4C24×D4311yescharacteristic
1805C8—21no—
1806C8—21no—
1807C8—21no—
1808C8—21no—
1809C8—861no—
1810C8—861no—
1811C8—861no—
1812C8—861no—
1813C22—21no—
1814C22—21no—
1815C22—21no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—432no—
1823C22—861no—
1824C22—861no—
1825C22—861no—
1826C22—861no—
1827C22—861no—
1828C22—1721no—
1829C22—1721no—
1830C22—1721no—
1831C22—1721no—
1832C22—1721no—
1833C22—1721no—
1834C22—1721no—
1835C22—1721no—
1836C22—1721no—
1837C22—1721no—
1838C22—1721no—
1839C22—1721no—
1840C22—6882no—
1841C22—6882no—
1842C22—6882no—
1843C22C22×D4×D4311yescharacteristic
1844C4—21no—
1845C4—21no—
1846C4—21no—
1847C4—21no—
1848C4—21no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—432no—
1856C4—861no—
1857C4—861no—
1858C4—861no—
1859C4—861no—
1860C4—861no—
1861C4—1721no—
1862C4—1721no—
1863C4—1721no—
1864C4—1721no—
1865C4H(5,𝔽2)×D4311yescharacteristic
1866C4H(5,𝔽2)×D4311yescharacteristic
1867C2—41no—
1868C2—81no—
1869C2—81no—
1870C2—862no—
1871C2—3441no—
1872C2—3441no—
1873C2—3441no—
1874C2—3441no—
1875C2—1721no—
1876C2#535×D4311yescharacteristic
1877C2#1914937311yescharacteristic
1878C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3225C2
socleC22×C43C23×D4
hypercenter#3225D43
hypocenterC43#60829
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. #19148500C2semidirect
2. #19148384C2semidirect
3. #19145707C2semidirect
4. #19145704C2semidirect
5. #19145699C2semidirect
6. #19145691C2semidirect
7. #19145690C2semidirect
8. #19145683C2semidirect
9. #19145682C2semidirect
10. #19145605C2semidirect
11. #19145603C2semidirect
12. #19145597C2semidirect
13. #19145596C2semidirect
14. #19145589C2semidirect
15. #19145587C2semidirect
16. #19145581C2semidirect
17. #19145580C2semidirect
18. #19145056C2semidirect
19. #19145039C2semidirect
20. #19144990C2semidirect
21. #489×D43C2semidirect
22. #19144142C2semidirect
23. #19144140C2semidirect
24. #19144137C2semidirect
25. #19144135C2semidirect
26. #19143911C2semidirect
27. #19143905C2semidirect
28. #19143903C2semidirect
29. #19143897C2semidirect
30. #19143243C2semidirect
31. C43×#3225C2semidirect
34. C2×#13063357C22semidirect
35. C2×#13063354C22semidirect
39. C2×#13063348C22semidirect
41. C2×#13063346C22semidirect
58. #14583523C22semidirect
59. #14583520C22semidirect
60. #14583518C22semidirect
68. #14583453C22semidirect
69. #14583451C22semidirect
72. #14583448C22semidirect
73. #14583446C22semidirect
75. #14583444C22semidirect
76. C4⋊Q8×D43C22semidirect
80. #14583381C22semidirect
81. #14583378C22semidirect
83. #14583292C22semidirect
84. #14583292C22semidirect
85. #14583292C22semidirect
86. #14583291C22semidirect
87. #14583290C22semidirect
88. #14583289C22semidirect
89. #14583288C22semidirect
90. #14583287C22semidirect
91. #14583285C22semidirect
92. #14583285C22semidirect
93. #14583285C22semidirect
94. #14583283C22semidirect
95. #14583281C22semidirect
96. #14583281C22semidirect
97. #14583261C22semidirect
98. #14583260C22semidirect
99. #14583260C22semidirect
100. #14583260C22semidirect
101. #14583260C22semidirect
102. #14583260C22semidirect
103. #14583260C22semidirect
104. #14583259C22semidirect
105. #14583258C22semidirect
106. #14583257C22semidirect
107. #14583257C22semidirect
108. #14583249C22semidirect
109. #14583247C22semidirect
110. #14583246C22semidirect
111. #14583124C22semidirect
112. #14583124C22semidirect
113. #14583123C22semidirect
114. #14583123C22semidirect
115. #14583122C22semidirect
116. #14583121C22semidirect
117. #14583118C22semidirect
118. #14583117C22semidirect
119. #14583117C22semidirect
120. #14583116C22semidirect
121. #14583116C22semidirect
122. #14583115C22semidirect
123. #14583114C22semidirect
124. #14583111C22semidirect
125. #14583108C22semidirect
126. #14583107C22semidirect
127. #14583106C22semidirect
128. #14583103C22semidirect
129. #14583102C22semidirect
130. #14583101C22semidirect
131. #14583100C22semidirect
132. #14583099C22semidirect
133. #14583098C22semidirect
134. #14583097C22semidirect
135. #14583095C22semidirect
136. #14583094C22semidirect
137. #14583093C22semidirect
138. #14583092C22semidirect
140. #14583064C22semidirect
141. #14583063C22semidirect
144. #14583060C22semidirect
145. #14583059C22semidirect
146. #14583056C22semidirect
147. #14583055C22semidirect
148. #14583053C22semidirect
154. #14583047C22semidirect
155. #14583046C22semidirect
158. #14583043C22semidirect
159. #14583042C22semidirect
160. #14583039C22semidirect
161. #14583038C22semidirect
162. #14583036C22semidirect
167. #14582961C22semidirect
168. #14582960C22semidirect
169. #14582958C22semidirect
170. #14582955C22semidirect
171. #14582955C22semidirect
172. #14582953C22semidirect
173. #14582953C22semidirect
174. #14582924C22semidirect
175. #14582924C22semidirect
178. #14582899C22semidirect
179. #14582899C22semidirect
180. #103×D43C22semidirect
181. #103×D43C22semidirect
186. C4×#10621872C22semidirect
187. #97×D43C22semidirect
188. C43×#542C22semidirect
190. C43×#497C22semidirect
191. C43×#495C22semidirect
192. C43×#489C22semidirect
193. C43×#487C22semidirect
194. C43×#464C22semidirect
195. C43×#463C22semidirect
196. C43×#462C22semidirect
197. C43×#461C22semidirect
199. C43×#451C22semidirect
201. C43×#448C22semidirect
202. C43×#433C22semidirect
933. #3225D43semidirect
1000. #542C2×D43semidirect
1029. #497C2×D43semidirect
1039. #495C2×D43semidirect
1051. #489C2×D43semidirect
1053. #487C2×D43semidirect
1063. #464C2×D43semidirect
1071. #463C2×D43semidirect
1075. #462C2×D43semidirect
1079. #461C2×D43semidirect
1099. #451C2×D43semidirect
1115. #448C2×D43semidirect
1123. #433C2×D43semidirect
1142. C43#60829semidirect

Maximal subgroups

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

subgroupindex
#191485002
#191483842
#191457072
#191457042
#191456992
#191456912
#191456902
#191456832
#191456822
#191456052
#191456032
#191455972
#191455962
#191455892
#191455872
#191455812
#191455802
#191450562
#191450392
#191449902
#489×D432
#191441422
#191441402
#191441372
#191441352
#191439112
#191439052
#191439032
#191438972
#191432432
C43×#32252
#6082943