Finite Group Databasebeta

← #25974031

Subgroups — #25974031

Order 11008.

2102 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148297C211yesmaximal, characteristic, complemented
2#19148234C211yesmaximal, characteristic, complemented
3#19146910C211yesmaximal, characteristic, complemented
4#19146907C211yesmaximal, characteristic, complemented
5#19146895C211yesmaximal, characteristic, complemented
6#19146813C211yesmaximal, characteristic, complemented
7#19146812C211yesmaximal, characteristic, complemented
8#19146802C211yesmaximal, characteristic, complemented
9#19146801C211yesmaximal, characteristic, complemented
10#19146694C211yesmaximal, characteristic, complemented
11#19146691C211yesmaximal, characteristic, complemented
12#19146674C211yesmaximal, characteristic, complemented
13#19146673C211yesmaximal, characteristic, complemented
14#19146578C211yesmaximal, characteristic, complemented
15#19146575C211yesmaximal, characteristic, complemented
16#19146550C211yesmaximal, characteristic, complemented
17#19146549C211yesmaximal, characteristic, complemented
18#19144955C211yesmaximal, characteristic, complemented
19#19144563C211yesmaximal, characteristic, complemented
20#19144522C211yesmaximal, characteristic, complemented
21#19144419C211yesmaximal, characteristic, complemented
22#19144281C211yesmaximal, characteristic, complemented
23#19144199C211yesmaximal, characteristic, complemented
24#19144140C211yesmaximal, characteristic, complemented
25#19143897C211yesmaximal, characteristic, complemented
26#19143833C211yesmaximal, characteristic, complemented
27#19143420C211yesmaximal, characteristic, complemented
28#19143295C211yesmaximal, characteristic, complemented
29#19143119C211yesmaximal, characteristic, complemented
30#417×D43C211yesmaximal, characteristic, complemented
31C43×#3330C211yesmaximal, characteristic, complemented
32C2×#13063371C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#13063354C2211yescharacteristic, complemented
35C2×#13063349C2211yescharacteristic
36C2×#13063346C2211yescharacteristic
37C2×#13063333C2211yescharacteristic
38C2×M16×D43C2211yescharacteristic, complemented
39#14583610C2211yescharacteristic, complemented
40#14583604C2211yescharacteristic, complemented
41#14583603—21no—
42#14583599C2211yescharacteristic, complemented
43#14583596C2211yescharacteristic, complemented
44#14583594—21no—
45#14583589C2211yescharacteristic, complemented
46#14583586—21no—
47#14583584C2211yescharacteristic, complemented
48#14583552C2211yescharacteristic
49#14583551C2211yescharacteristic
50#14583550—21no—
51#14583549C2211yescharacteristic, complemented
52#14583548—21no—
53#14583548C2211yescharacteristic
54#14583547—21no—
55#14583545C2211yescharacteristic
56#14583544C2211yescharacteristic
57#14583541—21no—
58#14583540C2211yescharacteristic
59#14583538—21no—
60#14583537C2211yescharacteristic
61#14583526C2211yescharacteristic, complemented
62#14583495—21no—
63#14583492—21no—
64#14583478C2211yescharacteristic
65#14583474C2211yescharacteristic
66#14583472C2211yescharacteristic
67#14583460—21no—
68#14583457—21no—
69#14583412C2211yescharacteristic
70#14583409C2211yescharacteristic, complemented
71#14583408C2211yescharacteristic
72#14583407—21no—
73#14583406—21no—
74C2×#13063310—21no—
75#123×D43—21no—
76#14583380C2211yescharacteristic
77#14583378C2211yescharacteristic, complemented
78#14583371C2211yescharacteristic
79C2×C4⋊C4×D43C2211yescharacteristic, complemented
80#14583267C2211yescharacteristic, complemented
81#14583266C2211yescharacteristic, complemented
82#14583261C2211yescharacteristic, complemented
83#14583260C2211yescharacteristic, complemented
84#14583255C2211yescharacteristic, complemented
85#14583254C2211yescharacteristic, complemented
86#14583248C2211yescharacteristic, complemented
87#14583242C2211yescharacteristic, complemented
88#14583241C2211yescharacteristic, complemented
89#14583239C2211yescharacteristic, complemented
90#14583237C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583232C2211yescharacteristic, complemented
93#14583229C2211yescharacteristic, complemented
94#14583228C2211yescharacteristic, complemented
95#14583228C2211yescharacteristic, complemented
96#14583228C2211yescharacteristic, complemented
97#14583218C2211yescharacteristic, complemented
98#14583217C2211yescharacteristic, complemented
99#14583214C2211yescharacteristic, complemented
100#14583214C2211yescharacteristic, complemented
101#14583202C2211yescharacteristic, complemented
102#14583200C2211yescharacteristic, complemented
103#14583199C2211yescharacteristic, complemented
104#14583197C2211yescharacteristic, complemented
105#14583187C2211yescharacteristic, complemented
106#14583186C2211yescharacteristic, complemented
107#14583178C2211yescharacteristic, complemented
108#14583157C2211yescharacteristic, complemented
109#14583156C2211yescharacteristic, complemented
110#14583156C2211yescharacteristic, complemented
111#14583155C2211yescharacteristic, complemented
112#14583151C2211yescharacteristic, complemented
113#14583150C2211yescharacteristic, complemented
114#14583146C2211yescharacteristic, complemented
115#14583145C2211yescharacteristic, complemented
116#14583144C2211yescharacteristic, complemented
117#14583142C2211yescharacteristic, complemented
118#14583141C2211yescharacteristic, complemented
119#14583138C2211yescharacteristic, complemented
120#14583126C2211yescharacteristic, complemented
121#14583125C2211yescharacteristic, complemented
122#14583124C2211yescharacteristic, complemented
123#14583122C2211yescharacteristic, complemented
124#14583116C2211yescharacteristic, complemented
125#14583114C2211yescharacteristic, complemented
126#14583108C2211yescharacteristic, complemented
127#14583106C2211yescharacteristic, complemented
128#14583102C2211yescharacteristic, complemented
129#14583064C2211yescharacteristic, complemented
130#14583064C2211yescharacteristic, complemented
131#14583063C2211yescharacteristic, complemented
132#14583062C2211yescharacteristic, complemented
133#14583061C2211yescharacteristic, complemented
134#14583061C2211yescharacteristic, complemented
135#14583052C2211yescharacteristic, complemented
136#14583051C2211yescharacteristic, complemented
137#14583043C2211yescharacteristic, complemented
138#14583043C2211yescharacteristic, complemented
139#14583042C2211yescharacteristic, complemented
140#14583041C2211yescharacteristic, complemented
141#14583032C2211yescharacteristic, complemented
142#14583031C2211yescharacteristic, complemented
143#14583011C2211yescharacteristic, complemented
144#14583009C2211yescharacteristic, complemented
145#14582999C2211yescharacteristic, complemented
146#14582998C2211yescharacteristic, complemented
147#14582990C2211yescharacteristic, complemented
148C4×#10621873C2211yescharacteristic, complemented
149#14582979C2211yescharacteristic, complemented
150#14582978C2211yescharacteristic, complemented
151#14582975C2211yescharacteristic, complemented
152#14582975C2211yescharacteristic, complemented
153#14582973C2211yescharacteristic, complemented
154#14582971C2211yescharacteristic, complemented
155#14582969C2211yescharacteristic, complemented
156#14582967C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic, complemented
158#14582940C2211yescharacteristic, complemented
159#14582936C2211yescharacteristic, complemented
160#14582924C2211yescharacteristic, complemented
161#14582906C2211yescharacteristic, complemented
162#14582905C2211yescharacteristic, complemented
163#14582902C2211yescharacteristic
164#14582902C2211yescharacteristic, complemented
165#14582901C2211yescharacteristic, complemented
166#14582900C2211yescharacteristic, complemented
167#14582899C2211yescharacteristic
168#14582899C2211yescharacteristic
169#14582899C2211yescharacteristic, complemented
170#14582899C2211yescharacteristic, complemented
171#14582899C2211yescharacteristic, complemented
172#14582898C2211yescharacteristic, complemented
173#14582897C2211yescharacteristic, complemented
174#14582897C2211yescharacteristic, complemented
175#14582895C2211yescharacteristic, complemented
176#14582894C2211yescharacteristic
177#14582894C2211yescharacteristic, complemented
178#14582892C2211yescharacteristic, complemented
179#103×D43C2211yescharacteristic, complemented
180#103×D43C2211yescharacteristic, complemented
181C2×#13063245C2211yescharacteristic, complemented
182#102×D43C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic, complemented
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic, complemented
187#14582853C2211yescharacteristic, complemented
188C43×#547C2211yescharacteristic
189C43×#547C2211yescharacteristic, complemented
190C43×#487C2211yescharacteristic, complemented
191C43×#484C2211yescharacteristic, complemented
192C43×#484C2211yescharacteristic, complemented
193C43×#474C2211yescharacteristic, complemented
194C43×#468C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic, complemented
196C43×#461C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic, complemented
198C43×#449C2211yescharacteristic, complemented
199C4×D8×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic, complemented
201C43×#417C2211yescharacteristic, complemented
202C43×#417C2211yescharacteristic, complemented
203#13063371—24no—
204#13063371—42no—
205C2×#10621902C2311yescharacteristic
206C2×#10621902C2311yescharacteristic
207C2×#10621902C2311yescharacteristic
208C2×#10621898—21no—
209C2×#10621898—21no—
210C2×#10621898C2311yescharacteristic
211C2×#10621898C2311yescharacteristic
212C2×#10621900—21no—
213C2×#10621900—21no—
214C2×#10621900C2311yescharacteristic
215C2×#10621900C2311yescharacteristic
216#41×D43—24no—
217#41×D43—42no—
218C2×Q8×D43C2311yescharacteristic
219C22×D172—21no—
220C22×D172C2311yescharacteristic
221C2×D4×D43—21no—
222C2×D4×D43—21no—
223C2×D4×D43—21no—
224C2×D4×D43C2311yescharacteristic
225C2×D4×D43C2311yescharacteristic
226C22×C4×D43—21no—
227C22×C4×D43—21no—
228C22×C4×D43C2311yescharacteristic
229#13063354—42no—
230#13063349—24no—
231#13063346—42no—
232C2×Dic172C2311yescharacteristic
233C2×#10621885C2311yescharacteristic
234C2×#10621885C2311yescharacteristic
235C2×#10621873C2311yescharacteristic
236C2×#10621873C2311yescharacteristic
237C2×#10621883C2311yescharacteristic
238C2×#10621883C2311yescharacteristic
239C2×#10621882C2311yescharacteristic
240C2×#10621882C2311yescharacteristic
241#13063333—42no—
242C2×#10621877C2311yescharacteristic
243C2×#10621872C2311yescharacteristic
244C2×#10621872C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247C2×#10621872C2311yescharacteristic
248M16×D43—42no—
249C22×C43⋊C8C2311yescharacteristic
250C2×C8×D43C2311yescharacteristic
251C2×C8×D43C2311yescharacteristic
252C2×C8×D43C2311yescharacteristic
253#13063324—21no—
254#13063324C2311yescharacteristic
255#13063323—21no—
256#13063323C2311yescharacteristic
257#13063320—21no—
258#13063318—21no—
259#13063318—21no—
260#13063318—21no—
261#13063317C2311yescharacteristic
262#13063316—21no—
263#13063316C2311yescharacteristic
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063314C2311yescharacteristic
269#13063313C2311yescharacteristic
270#13063311—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310—21no—
277#13063310—21no—
278#13063310—21no—
279#13063310—21no—
280#13063310D411yescharacteristic
281#13063309—21no—
282#13063308—21no—
283#13063308—21no—
284#13063308—21no—
285#13063308—21no—
286#13063307—21no—
287#13063307—21no—
288#13063307—21no—
289#13063307—21no—
290#13063307D411yescharacteristic
291#13063306—21no—
292#13063306—21no—
293#13063306—21no—
294#13063306—21no—
295#13063305C2311yescharacteristic
296#13063305C2311yescharacteristic
297#13063305C2311yescharacteristic
298#13063304—21no—
299#13063304C2311yescharacteristic
300#13063304C2311yescharacteristic
301#13063304C2311yescharacteristic
302#13063303—21no—
303#13063303—21no—
304#13063303—21no—
305#13063303—21no—
306#13063303D411yescharacteristic
307#13063302—21no—
308#13063302—21no—
309#13063302D411yescharacteristic
310#13063301—21no—
311#13063301—21no—
312#13063301—21no—
313#13063301C2311yescharacteristic
314#13063301C2311yescharacteristic
315#13063300—21no—
316#13063300—21no—
317#13063300C2311yescharacteristic
318#13063299—21no—
319#13063299C2311yescharacteristic
320#13063298—21no—
321#13063298—21no—
322#13063298—21no—
323#13063298—21no—
324#13063298D411yescharacteristic
325#13063297—21no—
326#13063297—21no—
327#13063297—21no—
328#13063297D411yescharacteristic
329#13063296—21no—
330#13063296—21no—
331#13063296C2311yescharacteristic
332#13063296C2311yescharacteristic
333#13063295—21no—
334#13063295—21no—
335#13063295—21no—
336#13063295D411yescharacteristic
337#13063293—21no—
338#13063293—21no—
339#13063293—21no—
340#13063293D411yescharacteristic
341C4×Dic86C2311yescharacteristic
342#13063290—21no—
343#13063290C2311yescharacteristic
344C4×D172C2311yescharacteristic
345C4×D172C2311yescharacteristic
346D4×Dic43—21no—
347D4×Dic43C2311yescharacteristic
348D4×Dic43C2311yescharacteristic
349#13063287—21no—
350#13063287—21no—
351#13063287—21no—
352#13063287C2311yescharacteristic
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43C2311yescharacteristic
360C4×C22⋊D43C2311yescharacteristic
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366#13063284—21no—
367#13063284C2311yescharacteristic
368#13063283C2311yescharacteristic
369#13063283C2311yescharacteristic
370#13063283C2311yescharacteristic
371#13063282C2311yescharacteristic
372#13063281—21no—
373#13063281—21no—
374C2×C4⋊Dic43C2311yescharacteristic
375C2×Dic43⋊C4—21no—
376C2×Dic43⋊C4—21no—
377C2×Dic43⋊C4—21no—
378C4⋊C4×D43—21no—
379C4⋊C4×D43—21no—
380C4⋊C4×D43—21no—
381C4⋊C4×D43—21no—
382C4⋊C4×D43C2311yescharacteristic
383C4⋊C4×D43C2311yescharacteristic
384C4⋊C4×D43C2311yescharacteristic
385C4⋊C4×D43C2311yescharacteristic
386C4⋊C4×D43C2311yescharacteristic
387C2×(C2×D43)⋊C4—21no—
388C2×(C2×D43)⋊C4—21no—
389C2×(C2×D43)⋊C4—21no—
390C22⋊C4×D43—21no—
391C22⋊C4×D43—21no—
392C22⋊C4×D43—21no—
393#13063259C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063256C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441#13063236C2311yescharacteristic
442#13063235C2311yescharacteristic
443C8×Dic43C2311yescharacteristic
444C2×#41×C43—21no—
445C2×#41×C43C2311yescharacteristic
446C2×#41×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×D8×C43C2311yescharacteristic
450C2×M16×C43C2311yescharacteristic
451C2×M16×C43C2311yescharacteristic
452C4⋊Q8×C43C2311yescharacteristic
453C4⋊Q8×C43C2311yescharacteristic
454#123×C43—21no—
455#123×C43—21no—
456#123×C43—21no—
457#123×C43—21no—
458C22⋊Q8×C43—21no—
459C22⋊Q8×C43C2311yescharacteristic
460C22⋊Q8×C43C2311yescharacteristic
461#121×C43—21no—
462#121×C43C2311yescharacteristic
463#121×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467C2×C4⋊C4×C43—21no—
468C2×C4⋊C4×C43C2311yescharacteristic
469C2×C4⋊C4×C43C2311yescharacteristic
470#107×C43C2311yescharacteristic
471#107×C43C2311yescharacteristic
472#107×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486C4×C8×C43C2311yescharacteristic
487C23×D43—21no—
488C23×D43—21no—
489C23×D43—21no—
490C23×D43C2×D411yescharacteristic
491#41×C43—22no—
492#41×C43—22no—
493#41×C43—41no—
494#41×C43—41no—
495#41×C43—82no—
496C2×Q8×C43—21no—
497C2×Q8×C43C2411yescharacteristic
498C2×Q8×C43C2411yescharacteristic
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43—21no—
502C2×D4×C43—21no—
503C2×D4×C43C2×D411yescharacteristic
504C2×D4×C43C2411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43—21no—
510C22×C4×C43—21no—
511C22×C4×C43—21no—
512C22×C4×C43C2411yescharacteristic
513C22×C4×C43C2411yescharacteristic
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⋊D43C2×D411yescharacteristic
523C2×C22⋊D43C2×D411yescharacteristic
524C2×C22⋊D43C2×D411yescharacteristic
525C2×C22⋊D43C2×D411yescharacteristic
526C22×Dic43—21no—
527C22×Dic43—21no—
528C22×Dic43—21no—
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43C2×D411yescharacteristic
532#10621902—22no—
533#10621902—22no—
534#10621902—22no—
535#10621902—22no—
536#10621902—41no—
537#10621902—41no—
538Q8×D43—22no—
539Q8×D43—22no—
540#10621900—22no—
541#10621900—22no—
542#10621900—22no—
543#10621900—41no—
544#10621900—44no—
545#10621900—82no—
546D4×D43—22no—
547D4×D43—22no—
548D4×D43—44no—
549D4×D43—44no—
550D4×D43—41no—
551D4×D43—44no—
552D4×D43#4114yescomplemented
553#10621898—22no—
554#10621898—22no—
555#10621898—22no—
556#10621898—41no—
557#10621898—44no—
558#10621898—44no—
559C2×D172—21no—
560C2×D172—21no—
561C2×D172—21no—
562C2×D172—21no—
563C2×D172—21no—
564C2×D172—22no—
565C2×D172—44no—
566C2×D172—41no—
567C2×D172C2×D411yescharacteristic
568C2×D172C2×D411yescharacteristic
569C2×D172C2411yescharacteristic
570C2×D172C2411yescharacteristic
571C2×C4×D43—22no—
572C2×C4×D43—22no—
573C2×C4×D43—21no—
574C2×C4×D43—21no—
575C2×C4×D43—21no—
576C2×C4×D43—21no—
577C2×C4×D43—21no—
578C2×C4×D43—21no—
579C2×C4×D43—21no—
580C2×C4×D43—21no—
581C2×C4×D43—21no—
582C2×C4×D43—21no—
583C2×C4×D43—21no—
584C2×C4×D43—21no—
585C2×C4×D43—44no—
586C2×C4×D43—82no—
587C2×C4×D43C2×D411yescharacteristic
588C2×C4×D43C2×D411yescharacteristic
589C2×C4×D43C2411yescharacteristic
590C2×C4×D43C2411yescharacteristic
591C2×C4×D43C2411yescharacteristic
592C2×Dic86—21no—
593C2×Dic86—21no—
594C2×Dic86C2×D411yescharacteristic
595C2×Dic86C2411yescharacteristic
596C2×Dic86C2411yescharacteristic
597SD16×C43—41no—
598SD16×C43—41no—
599D8×C43—22no—
600M16×C43—41no—
601M16×C43—41no—
602C2×C8×C43C2411yescharacteristic
603C2×C8×C43C2411yescharacteristic
604C2×C8×C43C2411yescharacteristic
605C2×C8×C43C2411yescharacteristic
606C4⋊C4×C43—21no—
607C4⋊C4×C43—21no—
608C4⋊C4×C43—21no—
609C4⋊C4×C43—21no—
610C4⋊C4×C43—21no—
611C4⋊C4×C43—21no—
612C4⋊C4×C43—21no—
613C4⋊C4×C43C2×D411yescharacteristic
614C4⋊C4×C43C2411yescharacteristic
615C4⋊C4×C43C2411yescharacteristic
616C4⋊C4×C43C2411yescharacteristic
617C4⋊C4×C43C2411yescharacteristic
618C22⋊C4×C43—21no—
619C22⋊C4×C43—21no—
620C22⋊C4×C43—21no—
621C22⋊C4×C43—21no—
622C22⋊C4×C43—21no—
623C22⋊C4×C43—21no—
624C22⋊C4×C43C2×D411yescharacteristic
625C22⋊C4×C43C2×D411yescharacteristic
626C42×C43C2411yescharacteristic
627C22⋊Dic43—21no—
628C22⋊Dic43—21no—
629C22⋊Dic43—21no—
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43C2×D411yescharacteristic
636C22⋊Dic43C2×D411yescharacteristic
637#10621885—41no—
638#10621885—41no—
639#10621883—22no—
640#10621883—41no—
641#10621882—22no—
642#10621882—41no—
643(C2×D43)⋊C4—21no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4—21no—
648(C2×D43)⋊C4—21no—
649(C2×D43)⋊C4—21no—
650(C2×D43)⋊C4—21no—
651(C2×D43)⋊C4—21no—
652(C2×D43)⋊C4—21no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4—21no—
657(C2×D43)⋊C4—21no—
658(C2×D43)⋊C4—21no—
659(C2×D43)⋊C4C2×D411yescharacteristic
660(C2×D43)⋊C4C2×D411yescharacteristic
661(C2×D43)⋊C4C2×D411yescharacteristic
662(C2×D43)⋊C4C2×D411yescharacteristic
663(C2×D43)⋊C4C2×D411yescharacteristic
664(C2×D43)⋊C4C2×D411yescharacteristic
665C4⋊Dic43—21no—
666C4⋊Dic43—21no—
667C4⋊Dic43—21no—
668C4⋊Dic43—21no—
669C4⋊Dic43—21no—
670C4⋊Dic43C2×D411yescharacteristic
671C4⋊Dic43C2411yescharacteristic
672C4⋊Dic43C2411yescharacteristic
673C4⋊Dic43C2411yescharacteristic
674C4⋊Dic43C2411yescharacteristic
675Dic43⋊C4—21no—
676Dic43⋊C4—21no—
677Dic43⋊C4—21no—
678Dic43⋊C4—21no—
679Dic43⋊C4—21no—
680Dic43⋊C4—21no—
681Dic43⋊C4—21no—
682Dic43⋊C4—21no—
683Dic43⋊C4—21no—
684Dic43⋊C4—21no—
685Dic43⋊C4—21no—
686Dic43⋊C4—21no—
687Dic43⋊C4—21no—
688Dic43⋊C4—21no—
689Dic43⋊C4—21no—
690Dic43⋊C4—21no—
691Dic43⋊C4—21no—
692Dic43⋊C4—21no—
693Dic43⋊C4C2×D411yescharacteristic
694Dic43⋊C4C2×D411yescharacteristic
695Dic43⋊C4C2×D411yescharacteristic
696Dic43⋊C4C2×D411yescharacteristic
697C4×Dic43—21no—
698C4×Dic43—21no—
699C4×Dic43—21no—
700C4×Dic43—21no—
701C4×Dic43—21no—
702C4×Dic43—21no—
703C4×Dic43C2411yescharacteristic
704#10621877—41no—
705C2×C43⋊C8—41no—
706C2×C43⋊C8C2411yescharacteristic
707C2×C43⋊C8C2411yescharacteristic
708C2×C43⋊C8C2411yescharacteristic
709C2×C43⋊C8C2411yescharacteristic
710Dic172—41no—
711#10621873—22no—
712#10621873—41no—
713#10621872—22no—
714#10621872—22no—
715#10621872—41no—
716#10621872—41no—
717#10621872—41no—
718C8×D43—22no—
719C8×D43—22no—
720C8×D43—41no—
721C23×C43—21no—
722C23×C43—21no—
723C23×C43C22×D411yescharacteristic
724C23×C43C22×D411yescharacteristic
725C22×D43—21no—
726C22×D43—22no—
727C22×D43—24no—
728C22×D43—21no—
729C22×D43—41no—
730C22×D43—41no—
731C22×D43—42no—
732C22×D43—42no—
733C22×D43—81no—
734C22×D43—81no—
735C22×D43—81no—
736C22×D43—81no—
737C22×D43—81no—
738C22×D43—81no—
739C22×D43C22×D411yescharacteristic
740C22×D43C22×D411yescharacteristic
741C22×D43C22×D411yescharacteristic
742Q8×C43—21no—
743Q8×C43—21no—
744Q8×C43—21no—
745Q8×C43—21no—
746Q8×C43—81no—
747D4×C43—21no—
748D4×C43—21no—
749D4×C43—21no—
750D4×C43—41no—
751D4×C43—42no—
752D4×C43—42no—
753D4×C43—42no—
754D4×C43—81no—
755D4×C43C2×#4112yes—
756C2×C4×C43—21no—
757C2×C4×C43—21no—
758C2×C4×C43—21no—
759C2×C4×C43—21no—
760C2×C4×C43—21no—
761C2×C4×C43—21no—
762C2×C4×C43—21no—
763C2×C4×C43—21no—
764C2×C4×C43—21no—
765C2×C4×C43—21no—
766C2×C4×C43—42no—
767C2×C4×C43—42no—
768C2×C4×C43—42no—
769C2×C4×C43—81no—
770C2×C4×C43—81no—
771C2×C4×C43—81no—
772C2×C4×C43C22×D411yescharacteristic
773C2×C4×C43C22×D411yescharacteristic
774C2×C4×C43C22×D411yescharacteristic
775C2×C4×C43C22×D411yescharacteristic
776C2×C4×C43C2511yescharacteristic
777C22⋊D43—22no—
778C22⋊D43—22no—
779C22⋊D43—24no—
780C22⋊D43—41no—
781C22⋊D43—41no—
782C22⋊D43—42no—
783C22⋊D43—42no—
784C22⋊D43—42no—
785C22⋊D43—42no—
786C22⋊D43—42no—
787C22⋊D43—81no—
788C22⋊D43—81no—
789C2×Dic43—22no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—21no—
793C2×Dic43—21no—
794C2×Dic43—21no—
795C2×Dic43—21no—
796C2×Dic43—42no—
797C2×Dic43—42no—
798C2×Dic43—42no—
799C2×Dic43—81no—
800C2×Dic43—81no—
801C2×Dic43C22×D411yescharacteristic
802C2×Dic43C22×D411yescharacteristic
803C2×Dic43C22×D411yescharacteristic
804C2×Dic43C22×D411yescharacteristic
805C2×Dic43C22×D411yescharacteristic
806D172—22no—
807D172—21no—
808D172—21no—
809D172—21no—
810D172—41no—
811D172—42no—
812D172—42no—
813D172—42no—
814D172—42no—
815D172—81no—
816D172C2×#4112yes—
817C4×D43—22no—
818C4×D43—21no—
819C4×D43—21no—
820C4×D43—21no—
821C4×D43—21no—
822C4×D43—22no—
823C4×D43—42no—
824C4×D43—42no—
825C4×D43—42no—
826C4×D43—42no—
827C4×D43—42no—
828C4×D43—81no—
829C4×D43—81no—
830C4×D43—81no—
831C4×D43—81no—
832C4×D43—81no—
833C4×D43—81no—
834C4×D43—81no—
835C4×D43C2×#4112yes—
836C4×D43H(5,𝔽2)12yes—
837Dic86—22no—
838Dic86—21no—
839Dic86—21no—
840Dic86—21no—
841Dic86—21no—
842Dic86—42no—
843Dic86—81no—
844C8×C43—21no—
845C8×C43—21no—
846C8×C43—21no—
847C8×C43—21no—
848C43⋊C8—21no—
849C43⋊C8—21no—
850C43⋊C8—21no—
851C43⋊C8—21no—
852#61177—431nomaximal, Sylow
853C22×C43—21no—
854C22×C43—21no—
855C22×C43—21no—
856C22×C43—21no—
857C22×C43—22no—
858C22×C43—21no—
859C22×C43—21no—
860C22×C43—41no—
861C22×C43—41no—
862C22×C43—41no—
863C22×C43—41no—
864C22×C43—41no—
865C22×C43C23×D411yescharacteristic
866C2×D43—21no—
867C2×D43—21no—
868C2×D43—21no—
869C2×D43—21no—
870C2×D43—21no—
871C2×D43—21no—
872C2×D43—22no—
873C2×D43—21no—
874C2×D43—21no—
875C2×D43—44no—
876C2×D43—41no—
877C2×D43—41no—
878C2×D43—41no—
879C2×D43—41no—
880C2×D43—41no—
881C2×D43—84no—
882C2×D43—162no—
883C2×D43—162no—
884C2×D43#54612yes—
885C4×C43—21no—
886C4×C43—21no—
887C4×C43—21no—
888C4×C43—21no—
889C4×C43—41no—
890C4×C43—41no—
891C4×C43—41no—
892C4×C43—41no—
893C4×C43—41no—
894C4×C43—41no—
895C4×C43C22×#4111yescharacteristic
896C4×C43C2×H(5,𝔽2)11yescharacteristic
897Dic43—21no—
898Dic43—21no—
899Dic43—21no—
900Dic43—21no—
901Dic43—41no—
902Dic43—41no—
903Dic43—41no—
904Dic43—41no—
905Dic43—41no—
906Dic43—41no—
907Dic43#54612yes—
908#3492—431no—
909#3485—431no—
910#3331—431no—
911#3331—431no—
912#3330—431no—
913#3330D4311yescharacteristic, complemented
914#3323—431no—
915#3323—431no—
916#3322—431no—
917#3322—431no—
918#3315—431no—
919#3315—431no—
920#3314—431no—
921#3314—431no—
922#3307—431no—
923#3307—431no—
924#3306—431no—
925#3306—431no—
926#3137—431no—
927#3097—431no—
928#3092—431no—
929#3081—431no—
930#3063—431no—
931#3054—431no—
932#3046—431no—
933#3012—431no—
934#3005—431no—
935#2946—431no—
936#2930—431no—
937#2897—431no—
938C2×#417—431no—
939C2×C43—41no—
940C2×C43—42no—
941C2×C43—41no—
942C2×C43—81no—
943C2×C43C2×#54611yescharacteristic
944C2×C43#358511yescharacteristic
945C2×C43#358611yescharacteristic
946D43—22no—
947D43—41no—
948D43—41no—
949D43—42no—
950D43—81no—
951C2×H(5,𝔽2)—431no—
952C22×#41—431no—
953C2×#137—431no—
954C2×AGL(1,ℤ/8)—431no—
955C2×#135—431no—
956C2×#131—431no—
957C22×M16—431no—
958#554—431no—
959#554—431no—
960#554—861no—
961#553—431no—
962#553—431no—
963#553—861no—
964#552—431no—
965#552—431no—
966#552—861no—
967#547—431no—
968#547—431no—
969#547—431no—
970#547—431no—
971#547—861no—
972#547—861no—
973#547—861no—
974#547C2×D4311yescharacteristic
975#547C2×D4311yescharacteristic, complemented
976#546—431no—
977#546—431no—
978#546—431no—
979#546—431no—
980#546—861no—
981#546—861no—
982#544—431no—
983#539—861no—
984#539—861no—
985#537—431no—
986#536—431no—
987#536—431no—
988#534—861no—
989#534—861no—
990#525—431no—
991#525—431no—
992#525—431no—
993#525—861no—
994#525—861no—
995C2×#123—861no—
996C2×#123—861no—
997#520—431no—
998#520—431no—
999#518—431no—
1000C22×C4⋊C4—431no—
1001#491—431no—
1002#491—431no—
1003#489—431no—
1004#489—431no—
1005#488—431no—
1006#488—431no—
1007#487—431no—
1008#487C2×D4311yescharacteristic, complemented
1009#485—431no—
1010#485—431no—
1011#485—431no—
1012#485—431no—
1013#484—431no—
1014#484—431no—
1015#484C2×D4311yescharacteristic, complemented
1016#484C2×D4311yescharacteristic, complemented
1017#483—431no—
1018#483—431no—
1019#483—431no—
1020#483—431no—
1021#481—431no—
1022#481—431no—
1023#480—431no—
1024#480—431no—
1025#478—431no—
1026#478—431no—
1027#478—431no—
1028#478—431no—
1029#476—431no—
1030#476—431no—
1031#474—431no—
1032#474C2×D4311yescharacteristic, complemented
1033#470—431no—
1034#470—431no—
1035#470—431no—
1036#470—431no—
1037#469—431no—
1038#469—431no—
1039#468—431no—
1040#468—431no—
1041#468—431no—
1042#468—431no—
1043#468C2×D4311yescharacteristic, complemented
1044#468C2×D4311yescharacteristic, complemented
1045#467—431no—
1046#467—431no—
1047#465—431no—
1048#465—431no—
1049#464—431no—
1050#464—431no—
1051#463—431no—
1052#463—431no—
1053#462—431no—
1054#462—431no—
1055#461—431no—
1056#461C2×D4311yescharacteristic, complemented
1057#452—431no—
1058#452—431no—
1059#452—431no—
1060#452—431no—
1061#452—431no—
1062#452—431no—
1063#450—431no—
1064#450—431no—
1065#449—431no—
1066#449—431no—
1067#449—431no—
1068#449—431no—
1069#449C2×D4311yescharacteristic, complemented
1070#449C2×D4311yescharacteristic, complemented
1071#447—431no—
1072#447—431no—
1073#442—431no—
1074#442—431no—
1075#440—431no—
1076#440—431no—
1077C4×SD16—431no—
1078C4×SD16—431no—
1079C4×D8—431no—
1080C4×D8C2×D4311yescharacteristic, complemented
1081#436—431no—
1082#436—431no—
1083#436—431no—
1084#436C2×D4311yescharacteristic, complemented
1085#435—431no—
1086#435—431no—
1087#435—431no—
1088#435—431no—
1089#428—431no—
1090#428—431no—
1091#427—431no—
1092#424—431no—
1093#419—431no—
1094#418—431no—
1095#418—431no—
1096#418—431no—
1097#417—431no—
1098#417—431no—
1099#417—431no—
1100#417—431no—
1101#417—431no—
1102#417—431no—
1103#417—431no—
1104#417—431no—
1105#417—431no—
1106#417—431no—
1107#417C2×D4311yescharacteristic, complemented
1108#417C2×D4311yescharacteristic, complemented
1109#416—431no—
1110#416—431no—
1111#416—431no—
1112#416—431no—
1113C2×#103—431no—
1114C2×#103—431no—
1115C2×#102—431no—
1116C2×#102—431no—
1117C2×#102—431no—
1118C2×#102—431no—
1119#408—431no—
1120#407—431no—
1121#405—431no—
1122C43#6117711yescharacteristic, complemented, Sylow
1123H(5,𝔽2)—864no—
1124H(5,𝔽2)—1722no—
1125C2×#41—21no—
1126C2×#41—431no—
1127C2×#41—431no—
1128C2×#41—431no—
1129C2×#41—431no—
1130C2×#41—431no—
1131C2×#41—431no—
1132C2×#41—431no—
1133C2×#41—861no—
1134C2×#41—861no—
1135C2×#41—861no—
1136C2×#41—861no—
1137C2×#41—864no—
1138C2×#41—1722no—
1139C2×#41C22×D4311yescharacteristic
1140C2×#41C22×D4311yescharacteristic
1141C22×Q8—431no—
1142C22×D4—431no—
1143C22×D4—431no—
1144C22×D4—431no—
1145C22×D4—861no—
1146C22×D4—861no—
1147C22×D4—861no—
1148C22×D4—861no—
1149C23×C4—431no—
1150C23×C4—861no—
1151C23×C4—861no—
1152#137—1722no—
1153AGL(1,ℤ/8)—864no—
1154#135—1722no—
1155C2×Q16—431no—
1156C2×Q16—431no—
1157C2×Q16—431no—
1158C2×SD16—431no—
1159C2×SD16—431no—
1160C2×SD16—431no—
1161C2×SD16—431no—
1162C2×SD16C22×D4311yescharacteristic
1163C2×SD16C22×D4311yescharacteristic
1164C2×D8—431no—
1165C2×D8—431no—
1166C2×D8C22×D4311yescharacteristic
1167#131—1722no—
1168C2×M16—431no—
1169C2×M16—431no—
1170C2×M16—431no—
1171C2×M16—431no—
1172C2×M16—431no—
1173C2×M16—431no—
1174C2×M16—1722no—
1175C2×M16C22×D4311yescharacteristic
1176C2×M16C22×D4311yescharacteristic
1177C22×C8—431no—
1178C22×C8—431no—
1179C22×C8—431no—
1180C22×C8—431no—
1181C4⋊Q8—431no—
1182C4⋊Q8—431no—
1183C4⋊Q8—861no—
1184C4⋊Q8—861no—
1185C4⋊Q8C22×D4311yescharacteristic
1186C4⋊Q8C22×D4311yescharacteristic
1187#126—861no—
1188#126—861no—
1189#126—861no—
1190#126—861no—
1191#125—431no—
1192#125—431no—
1193#125—861no—
1194#125—861no—
1195#125—861no—
1196#125—861no—
1197#125—861no—
1198#124—431no—
1199#124—431no—
1200#124—861no—
1201#123—21no—
1202#123—21no—
1203#123—21no—
1204#123—21no—
1205#123—431no—
1206#123—431no—
1207#123—861no—
1208#123—861no—
1209#123—861no—
1210#123—861no—
1211#123—861no—
1212#123—861no—
1213#123—861no—
1214#123—861no—
1215#123—861no—
1216#123—861no—
1217#123—861no—
1218#123—861no—
1219#123—861no—
1220#123—861no—
1221#123—861no—
1222#123—861no—
1223#123—861no—
1224#123—861no—
1225#123—861no—
1226#123—861no—
1227#123—861no—
1228#123—861no—
1229C22⋊Q8—21no—
1230C22⋊Q8—431no—
1231C22⋊Q8—431no—
1232C22⋊Q8—431no—
1233C22⋊Q8—431no—
1234C22⋊Q8—431no—
1235C22⋊Q8—431no—
1236C22⋊Q8—431no—
1237C22⋊Q8—431no—
1238C22⋊Q8—431no—
1239C22⋊Q8—431no—
1240C22⋊Q8—861no—
1241C22⋊Q8—861no—
1242C22⋊Q8—861no—
1243C22⋊Q8—861no—
1244C22⋊Q8—861no—
1245C22⋊Q8—861no—
1246C22⋊Q8—861no—
1247C22⋊Q8—861no—
1248C22⋊Q8—861no—
1249C22⋊Q8—861no—
1250C22⋊Q8C22×D4311yescharacteristic
1251C22⋊Q8C22×D4311yescharacteristic
1252#121—21no—
1253#121—431no—
1254#121—431no—
1255#121—431no—
1256#121—431no—
1257#121—431no—
1258#121—431no—
1259#121—861no—
1260#121—861no—
1261#121—861no—
1262#121—861no—
1263#121—861no—
1264#121—861no—
1265#121—861no—
1266#121—861no—
1267#121—861no—
1268#121—861no—
1269#121—861no—
1270#121—861no—
1271#121C22×D4311yescharacteristic
1272#121C22×D4311yescharacteristic
1273#120—431no—
1274#120—431no—
1275#120—861no—
1276#120—861no—
1277#120—861no—
1278#120—861no—
1279#120—861no—
1280#120—861no—
1281C4×Q8—431no—
1282C4×Q8—431no—
1283C4×Q8—861no—
1284C4×D4—431no—
1285C4×D4—431no—
1286C4×D4—431no—
1287C4×D4—431no—
1288C4×D4—431no—
1289C4×D4—431no—
1290C4×D4—431no—
1291C4×D4—861no—
1292C4×D4—861no—
1293C4×D4—861no—
1294C4×D4—861no—
1295C4×D4—861no—
1296C4×D4—861no—
1297C4×D4—861no—
1298C4×D4—861no—
1299C4×D4—861no—
1300C4×D4—861no—
1301C4×D4—861no—
1302C4×D4—861no—
1303C4×D4—861no—
1304C4×D4—861no—
1305C4×D4—861no—
1306C4×D4C22×D4311yescharacteristic
1307C4×D4C22×D4311yescharacteristic
1308C4×D4C22×D4311yescharacteristic
1309#117—431no—
1310#117—431no—
1311#117—431no—
1312#117—431no—
1313#117—431no—
1314#117—861no—
1315#117—861no—
1316#117—861no—
1317C2×C4⋊C4—21no—
1318C2×C4⋊C4—431no—
1319C2×C4⋊C4—431no—
1320C2×C4⋊C4—431no—
1321C2×C4⋊C4—431no—
1322C2×C4⋊C4—431no—
1323C2×C4⋊C4—431no—
1324C2×C4⋊C4—861no—
1325C2×C4⋊C4—861no—
1326C2×C4⋊C4—861no—
1327C2×C4⋊C4—861no—
1328C2×C4⋊C4—861no—
1329C2×C4⋊C4—861no—
1330C2×C4⋊C4—861no—
1331C2×C4⋊C4C22×D4311yescharacteristic
1332C2×C4⋊C4C22×D4311yescharacteristic
1333C2×C22⋊C4—861no—
1334C2×C22⋊C4—861no—
1335C2×C22⋊C4—861no—
1336C2×C22⋊C4—861no—
1337C2×C22⋊C4—861no—
1338C2×C22⋊C4—861no—
1339#107—431no—
1340#107—431no—
1341#107—431no—
1342#107C22×D4311yescharacteristic
1343#107C22×D4311yescharacteristic
1344#107C22×D4311yescharacteristic
1345#106—431no—
1346#106—431no—
1347#106—431no—
1348#106—431no—
1349#106—431no—
1350#106—431no—
1351C4⋊C8—431no—
1352C4⋊C8—431no—
1353C4⋊C8—431no—
1354C4⋊C8C22×D4311yescharacteristic
1355#103—431no—
1356#103—431no—
1357#103—431no—
1358#103—431no—
1359#103—431no—
1360#103—431no—
1361#103—431no—
1362#103—431no—
1363#103—431no—
1364#103—431no—
1365#103—431no—
1366#103—431no—
1367#103—431no—
1368#103—431no—
1369#103C22×D4311yescharacteristic
1370#103C22×D4311yescharacteristic
1371#103C22×D4311yescharacteristic
1372#103C22×D4311yescharacteristic
1373#103C22×D4311yescharacteristic
1374#103C22×D4311yescharacteristic
1375#102—431no—
1376#102—431no—
1377#102—431no—
1378#102—431no—
1379#102—431no—
1380#102—431no—
1381#102—431no—
1382#102—431no—
1383#102—431no—
1384#102—431no—
1385#102—431no—
1386#102—431no—
1387#102—431no—
1388#102—431no—
1389#102—431no—
1390#102—431no—
1391#102C22×D4311yescharacteristic
1392#102C22×D4311yescharacteristic
1393#102C22×D4311yescharacteristic
1394#102C22×D4311yescharacteristic
1395C22⋊C8—431no—
1396C22⋊C8—431no—
1397C22⋊C8—431no—
1398C22⋊C8—431no—
1399C22⋊C8—431no—
1400C22⋊C8—431no—
1401C22⋊C8C22×D4311yescharacteristic
1402C22⋊C8C22×D4311yescharacteristic
1403#97—431no—
1404#97—431no—
1405C4×C8—431no—
1406C4×C8C22×D4311yescharacteristic
1407C24—431no—
1408C24—861no—
1409C24—861no—
1410C24—861no—
1411#41—22no—
1412#41—22no—
1413#41—41no—
1414#41—41no—
1415#41—82no—
1416#41—862no—
1417#41—862no—
1418#41—862no—
1419#41—862no—
1420#41—862no—
1421#41—862no—
1422#41—862no—
1423#41—862no—
1424#41—862no—
1425#41—862no—
1426#41—3442no—
1427#41—1721no—
1428#41—1724no—
1429#41—1724no—
1430#41—1721no—
1431#41—1724no—
1432#41—1721no—
1433#41—1721no—
1434C2×Q8—21no—
1435C2×Q8—431no—
1436C2×Q8—431no—
1437C2×Q8—431no—
1438C2×Q8—861no—
1439C2×Q8—861no—
1440C2×Q8—862no—
1441C2×Q8—862no—
1442C2×Q8C23×D4311yescharacteristic
1443C2×Q8C23×D4311yescharacteristic
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—434no—
1449C2×D4—431no—
1450C2×D4—431no—
1451C2×D4—431no—
1452C2×D4—431no—
1453C2×D4—431no—
1454C2×D4—431no—
1455C2×D4—431no—
1456C2×D4—431no—
1457C2×D4—862no—
1458C2×D4—861no—
1459C2×D4—861no—
1460C2×D4—861no—
1461C2×D4—861no—
1462C2×D4—862no—
1463C2×D4—861no—
1464C2×D4—861no—
1465C2×D4—862no—
1466C2×D4—861no—
1467C2×D4—861no—
1468C2×D4—861no—
1469C2×D4—861no—
1470C2×D4—861no—
1471C2×D4—861no—
1472C2×D4—861no—
1473C2×D4—1721no—
1474C2×D4—1724no—
1475C2×D4—1721no—
1476C2×D4—1724no—
1477C2×D4—1724no—
1478C2×D4—1724no—
1479C2×D4D4×D4311yescharacteristic
1480C2×D4C23×D4311yescharacteristic
1481C2×D4C23×D4311yescharacteristic
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—21no—
1488C22×C4—431no—
1489C22×C4—431no—
1490C22×C4—431no—
1491C22×C4—431no—
1492C22×C4—431no—
1493C22×C4—431no—
1494C22×C4—862no—
1495C22×C4—862no—
1496C22×C4—861no—
1497C22×C4—861no—
1498C22×C4—861no—
1499C22×C4—861no—
1500C22×C4—861no—
1501C22×C4—861no—
1502C22×C4—861no—
1503C22×C4—861no—
1504C22×C4—861no—
1505C22×C4—861no—
1506C22×C4—861no—
1507C22×C4—861no—
1508C22×C4—861no—
1509C22×C4—861no—
1510C22×C4—861no—
1511C22×C4—861no—
1512C22×C4—861no—
1513C22×C4—3442no—
1514C22×C4—1724no—
1515C22×C4C23×D4311yescharacteristic
1516C22×C4C23×D4311yescharacteristic
1517Q16—1721no—
1518Q16—1721no—
1519Q16—1721no—
1520SD16—41no—
1521SD16—41no—
1522SD16—862no—
1523SD16—862no—
1524SD16—1721no—
1525SD16—1721no—
1526D8—22no—
1527D8—862no—
1528D8—1721no—
1529M16—41no—
1530M16—41no—
1531M16—862no—
1532M16—862no—
1533M16—1721no—
1534M16—1721no—
1535M16—1721no—
1536M16—1721no—
1537C2×C8—431no—
1538C2×C8—431no—
1539C2×C8—431no—
1540C2×C8—431no—
1541C2×C8—862no—
1542C2×C8—862no—
1543C2×C8—1721no—
1544C2×C8—1721no—
1545C2×C8C23×D4311yescharacteristic
1546C2×C8C23×D4311yescharacteristic
1547C2×C8C23×D4311yescharacteristic
1548C2×C8C23×D4311yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—431no—
1557C4⋊C4—431no—
1558C4⋊C4—431no—
1559C4⋊C4—431no—
1560C4⋊C4—431no—
1561C4⋊C4—431no—
1562C4⋊C4—431no—
1563C4⋊C4—431no—
1564C4⋊C4—431no—
1565C4⋊C4—861no—
1566C4⋊C4—861no—
1567C4⋊C4—861no—
1568C4⋊C4—861no—
1569C4⋊C4—861no—
1570C4⋊C4—861no—
1571C4⋊C4—861no—
1572C4⋊C4—861no—
1573C4⋊C4—861no—
1574C4⋊C4—861no—
1575C4⋊C4—861no—
1576C4⋊C4—861no—
1577C4⋊C4—861no—
1578C4⋊C4—861no—
1579C4⋊C4—861no—
1580C4⋊C4—861no—
1581C4⋊C4—861no—
1582C4⋊C4—861no—
1583C4⋊C4—861no—
1584C4⋊C4—861no—
1585C4⋊C4—861no—
1586C4⋊C4—861no—
1587C4⋊C4—861no—
1588C4⋊C4D4×D4311yescharacteristic
1589C4⋊C4C23×D4311yescharacteristic
1590C4⋊C4C23×D4311yescharacteristic
1591C4⋊C4C23×D4311yescharacteristic
1592C4⋊C4C23×D4311yescharacteristic
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—431no—
1600C22⋊C4—431no—
1601C22⋊C4—431no—
1602C22⋊C4—431no—
1603C22⋊C4—431no—
1604C22⋊C4—431no—
1605C22⋊C4—431no—
1606C22⋊C4—431no—
1607C22⋊C4—861no—
1608C22⋊C4—861no—
1609C22⋊C4—861no—
1610C22⋊C4—861no—
1611C22⋊C4—861no—
1612C22⋊C4—861no—
1613C22⋊C4—861no—
1614C22⋊C4—861no—
1615C22⋊C4—861no—
1616C22⋊C4—861no—
1617C22⋊C4—861no—
1618C22⋊C4—861no—
1619C22⋊C4—861no—
1620C22⋊C4—861no—
1621C22⋊C4—861no—
1622C22⋊C4—861no—
1623C22⋊C4—861no—
1624C22⋊C4—861no—
1625C22⋊C4—861no—
1626C22⋊C4—861no—
1627C22⋊C4—861no—
1628C22⋊C4—861no—
1629C22⋊C4—861no—
1630C22⋊C4—861no—
1631C22⋊C4D4×D4311yescharacteristic
1632C22⋊C4D4×D4311yescharacteristic
1633C42—431no—
1634C42—861no—
1635C42—861no—
1636C42—861no—
1637C42—861no—
1638C42—861no—
1639C42—861no—
1640C42C23×D4311yescharacteristic
1641C23—21no—
1642C23—21no—
1643C23—431no—
1644C23—431no—
1645C23—431no—
1646C23—864no—
1647C23—862no—
1648C23—861no—
1649C23—861no—
1650C23—3441no—
1651C23—3441no—
1652C23—3441no—
1653C23—3441no—
1654C23—3441no—
1655C23—3441no—
1656C23—1721no—
1657C23—1721no—
1658C23—1722no—
1659C23—1722no—
1660C23C2×D4×D4311yescharacteristic
1661C23C2×D4×D4311yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—81no—
1667Q8—862no—
1668Q8—861no—
1669Q8—861no—
1670Q8—861no—
1671Q8—861no—
1672Q8—3441no—
1673Q8—1722no—
1674D4—21no—
1675D4—21no—
1676D4—21no—
1677D4—41no—
1678D4—42no—
1679D4—42no—
1680D4—42no—
1681D4—81no—
1682D4—432no—
1683D4—862no—
1684D4—864no—
1685D4—862no—
1686D4—862no—
1687D4—861no—
1688D4—861no—
1689D4—861no—
1690D4—3441no—
1691D4—3441no—
1692D4—3441no—
1693D4—1721no—
1694D4—1722no—
1695D4—1722no—
1696D4—1722no—
1697D4—1722no—
1698D4—1721no—
1699D4—1721no—
1700D4—1722no—
1701D4—1722no—
1702D4—1722no—
1703D4—1722no—
1704D4—1722no—
1705D4#41×D4312yes—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—42no—
1717C2×C4—42no—
1718C2×C4—42no—
1719C2×C4—81no—
1720C2×C4—81no—
1721C2×C4—81no—
1722C2×C4—431no—
1723C2×C4—432no—
1724C2×C4—432no—
1725C2×C4—431no—
1726C2×C4—431no—
1727C2×C4—431no—
1728C2×C4—431no—
1729C2×C4—862no—
1730C2×C4—862no—
1731C2×C4—862no—
1732C2×C4—861no—
1733C2×C4—861no—
1734C2×C4—861no—
1735C2×C4—861no—
1736C2×C4—861no—
1737C2×C4—861no—
1738C2×C4—861no—
1739C2×C4—861no—
1740C2×C4—861no—
1741C2×C4—861no—
1742C2×C4—3441no—
1743C2×C4—3441no—
1744C2×C4—3441no—
1745C2×C4—3441no—
1746C2×C4—3441no—
1747C2×C4—3441no—
1748C2×C4—3441no—
1749C2×C4—3441no—
1750C2×C4—3441no—
1751C2×C4—1722no—
1752C2×C4—1722no—
1753C2×C4—1722no—
1754C2×C4—1722no—
1755C2×C4—1722no—
1756C2×C4—1722no—
1757C2×C4—1722no—
1758C2×C4—1722no—
1759C2×C4C2×D4×D4311yescharacteristic
1760C2×C4C2×D4×D4311yescharacteristic
1761C2×C4C2×D4×D4311yescharacteristic
1762C2×C4C2×D4×D4311yescharacteristic
1763C2×C4C24×D4311yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—861no—
1769C8—861no—
1770C8—861no—
1771C8—861no—
1772C22—21no—
1773C22—21no—
1774C22—22no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—432no—
1785C22—861no—
1786C22—861no—
1787C22—861no—
1788C22—861no—
1789C22—862no—
1790C22—861no—
1791C22—861no—
1792C22—861no—
1793C22—861no—
1794C22—3444no—
1795C22—1724no—
1796C22—1721no—
1797C22—1721no—
1798C22—1721no—
1799C22—1721no—
1800C22—1721no—
1801C22—6882no—
1802C22—6882no—
1803C22C22×D4×D4311yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—432no—
1815C4—861no—
1816C4—861no—
1817C4—861no—
1818C4—861no—
1819C4—1721no—
1820C4—1721no—
1821C4—1721no—
1822C4—1721no—
1823C4—1721no—
1824C4—1721no—
1825C4C2×#41×D4311yescharacteristic
1826C4H(5,𝔽2)×D4311yescharacteristic
1827C2—41no—
1828C2—41no—
1829C2—42no—
1830C2—81no—
1831C2—862no—
1832C2—3441no—
1833C2—1721no—
1834C2—1721no—
1835C2—1722no—
1836C2#546×D4311yescharacteristic
1837C2#1914937111yescharacteristic
1838C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3330C2
socleC22×C43C23×D4
hypercenter#3330D43
hypocenterC43#61177
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3330

Complements

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

NH ≅ G/Ntype
1. #19148297C2semidirect
2. #19148234C2semidirect
3. #19146910C2semidirect
4. #19146907C2semidirect
5. #19146895C2semidirect
6. #19146813C2semidirect
7. #19146812C2semidirect
8. #19146802C2semidirect
9. #19146801C2semidirect
10. #19146694C2semidirect
11. #19146691C2semidirect
12. #19146674C2semidirect
13. #19146673C2semidirect
14. #19146578C2semidirect
15. #19146575C2semidirect
16. #19146550C2semidirect
17. #19146549C2semidirect
18. #19144955C2semidirect
19. #19144563C2semidirect
20. #19144522C2semidirect
21. #19144419C2semidirect
22. #19144281C2semidirect
23. #19144199C2semidirect
24. #19144140C2semidirect
25. #19143897C2semidirect
26. #19143833C2semidirect
27. #19143420C2semidirect
28. #19143295C2semidirect
29. #19143119C2semidirect
30. #417×D43C2semidirect
31. C43×#3330C2semidirect
34. C2×#13063354C22semidirect
38. C2×M16×D43C22semidirect
39. #14583610C22semidirect
40. #14583604C22semidirect
42. #14583599C22semidirect
43. #14583596C22semidirect
45. #14583589C22semidirect
47. #14583584C22semidirect
51. #14583549C22semidirect
61. #14583526C22semidirect
70. #14583409C22semidirect
77. #14583378C22semidirect
79. C2×C4⋊C4×D43C22semidirect
80. #14583267C22semidirect
81. #14583266C22semidirect
82. #14583261C22semidirect
83. #14583260C22semidirect
84. #14583255C22semidirect
85. #14583254C22semidirect
86. #14583248C22semidirect
87. #14583242C22semidirect
88. #14583241C22semidirect
89. #14583239C22semidirect
90. #14583237C22semidirect
91. #14583236C22semidirect
92. #14583232C22semidirect
93. #14583229C22semidirect
94. #14583228C22semidirect
95. #14583228C22semidirect
96. #14583228C22semidirect
97. #14583218C22semidirect
98. #14583217C22semidirect
99. #14583214C22semidirect
100. #14583214C22semidirect
101. #14583202C22semidirect
102. #14583200C22semidirect
103. #14583199C22semidirect
104. #14583197C22semidirect
105. #14583187C22semidirect
106. #14583186C22semidirect
107. #14583178C22semidirect
108. #14583157C22semidirect
109. #14583156C22semidirect
110. #14583156C22semidirect
111. #14583155C22semidirect
112. #14583151C22semidirect
113. #14583150C22semidirect
114. #14583146C22semidirect
115. #14583145C22semidirect
116. #14583144C22semidirect
117. #14583142C22semidirect
118. #14583141C22semidirect
119. #14583138C22semidirect
120. #14583126C22semidirect
121. #14583125C22semidirect
122. #14583124C22semidirect
123. #14583122C22semidirect
124. #14583116C22semidirect
125. #14583114C22semidirect
126. #14583108C22semidirect
127. #14583106C22semidirect
128. #14583102C22semidirect
129. #14583064C22semidirect
130. #14583064C22semidirect
131. #14583063C22semidirect
132. #14583062C22semidirect
133. #14583061C22semidirect
134. #14583061C22semidirect
135. #14583052C22semidirect
136. #14583051C22semidirect
137. #14583043C22semidirect
138. #14583043C22semidirect
139. #14583042C22semidirect
140. #14583041C22semidirect
141. #14583032C22semidirect
142. #14583031C22semidirect
143. #14583011C22semidirect
144. #14583009C22semidirect
145. #14582999C22semidirect
146. #14582998C22semidirect
147. #14582990C22semidirect
148. C4×#10621873C22semidirect
149. #14582979C22semidirect
150. #14582978C22semidirect
151. #14582975C22semidirect
152. #14582975C22semidirect
153. #14582973C22semidirect
154. #14582971C22semidirect
155. #14582969C22semidirect
156. #14582967C22semidirect
157. #14582940C22semidirect
158. #14582940C22semidirect
159. #14582936C22semidirect
160. #14582924C22semidirect
161. #14582906C22semidirect
162. #14582905C22semidirect
164. #14582902C22semidirect
165. #14582901C22semidirect
166. #14582900C22semidirect
169. #14582899C22semidirect
170. #14582899C22semidirect
171. #14582899C22semidirect
172. #14582898C22semidirect
173. #14582897C22semidirect
174. #14582897C22semidirect
175. #14582895C22semidirect
177. #14582894C22semidirect
178. #14582892C22semidirect
179. #103×D43C22semidirect
180. #103×D43C22semidirect
181. C2×#13063245C22semidirect
184. #102×D43C22semidirect
186. #14582861C22semidirect
187. #14582853C22semidirect
189. C43×#547C22semidirect
190. C43×#487C22semidirect
191. C43×#484C22semidirect
192. C43×#484C22semidirect
193. C43×#474C22semidirect
194. C43×#468C22semidirect
195. C43×#468C22semidirect
196. C43×#461C22semidirect
197. C43×#449C22semidirect
198. C43×#449C22semidirect
199. C4×D8×C43C22semidirect
200. C43×#436C22semidirect
201. C43×#417C22semidirect
202. C43×#417C22semidirect
552. D4×D43#41semidirect
913. #3330D43semidirect
975. #547C2×D43semidirect
1008. #487C2×D43semidirect
1015. #484C2×D43semidirect
1016. #484C2×D43semidirect
1032. #474C2×D43semidirect
1043. #468C2×D43semidirect
1044. #468C2×D43semidirect
1056. #461C2×D43semidirect
1069. #449C2×D43semidirect
1070. #449C2×D43semidirect
1080. C4×D8C2×D43semidirect
1084. #436C2×D43semidirect
1107. #417C2×D43semidirect
1108. #417C2×D43semidirect
1122. C43#61177semidirect

Maximal subgroups

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

subgroupindex
#191482972
#191482342
#191469102
#191469072
#191468952
#191468132
#191468122
#191468022
#191468012
#191466942
#191466912
#191466742
#191466732
#191465782
#191465752
#191465502
#191465492
#191449552
#191445632
#191445222
#191444192
#191442812
#191441992
#191441402
#191438972
#191438332
#191434202
#191432952
#191431192
#417×D432
C43×#33302
#6117743