Finite Group Databasebeta

← #25979875

Subgroups — #25979875

Order 11008.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148569C211yesmaximal, characteristic, complemented
2#19148530C211yesmaximal, characteristic, complemented
3#19147649C211yesmaximal, characteristic, complemented
4#19147550C211yesmaximal, characteristic, complemented
5#19147375C211yesmaximal, characteristic, complemented
6#19147346C211yesmaximal, characteristic, complemented
7#19147166C211yesmaximal, characteristic, complemented
8#19147076C211yesmaximal, characteristic, complemented
9#19146894C211yesmaximal, characteristic, complemented
10#19146805C211yesmaximal, characteristic, complemented
11#19146694C211yesmaximal, characteristic, complemented
12#19146679C211yesmaximal, characteristic, complemented
13#19146619C211yesmaximal, characteristic, complemented
14#19146574C211yesmaximal, characteristic, complemented
15#19146192C211yesmaximal, characteristic, complemented
16#19146125C211yesmaximal, characteristic, complemented
17#19146117C211yesmaximal, characteristic, complemented
18#19145268C211yesmaximal, characteristic, complemented
19#19145216C211yesmaximal, characteristic, complemented
20#19145194C211yesmaximal, characteristic, complemented
21#19144864C211yesmaximal, characteristic, complemented
22#19144849C211yesmaximal, characteristic, complemented
23#19144812C211yesmaximal, characteristic, complemented
24#19144797C211yesmaximal, characteristic, complemented
25#19144699C211yesmaximal, characteristic, complemented
26#19144691C211yesmaximal, characteristic, complemented
27#19143574C211yesmaximal, characteristic, complemented
28#19143469C211yesmaximal, characteristic, complemented
29#19143426C211yesmaximal, characteristic, complemented
30#19143402C211yesmaximal, characteristic, complemented
31C43×#3343C211yesmaximal, characteristic, complemented
32C2×#13063353C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C2×#13063347C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583627C2211yescharacteristic, complemented
37#14583610C2211yescharacteristic
38#14583605C2211yescharacteristic, complemented
39#14583604C2211yescharacteristic, complemented
40#14583597C2211yescharacteristic
41#14583594—21no—
42#14583594—21no—
43#14583588—21no—
44#14583588C2211yescharacteristic
45#14583585—21no—
46#14583584C2211yescharacteristic
47#14583581—21no—
48#14583576—21no—
49#14583572—21no—
50#14583554C2211yescharacteristic, complemented
51#14583551C2211yescharacteristic
52#14583551C2211yescharacteristic, complemented
53#14583546C2211yescharacteristic
54#14583545C2211yescharacteristic
55#14583537—21no—
56#14583533C2211yescharacteristic
57#14583523C2211yescharacteristic
58#14583512C2211yescharacteristic, complemented
59#14583509C2211yescharacteristic, complemented
60#14583502C2211yescharacteristic
61#14583495—21no—
62#14583492—21no—
63#14583490—21no—
64#14583485—21no—
65#14583451C2211yescharacteristic, complemented
66#14583430C2211yescharacteristic
67#14583429C2211yescharacteristic
68#14583427—21no—
69#125×D43—21no—
70#14583406—21no—
71#123×D43—21no—
72#14583381C2211yescharacteristic, complemented
73#14583380C2211yescharacteristic
74#14583380C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic
76#14583367C2211yescharacteristic, complemented
77C2×#13063287C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583299C2211yescharacteristic, complemented
80#14583293C2211yescharacteristic, complemented
81#14583290C2211yescharacteristic, complemented
82#14583270C2211yescharacteristic
83#14583266C2211yescharacteristic, complemented
84#14583266C2211yescharacteristic, complemented
85#14583262C2211yescharacteristic
86#14583257C2211yescharacteristic, complemented
87#14583256C2211yescharacteristic, complemented
88#14583251C2211yescharacteristic, complemented
89#14583243C2211yescharacteristic, complemented
90#14583242C2211yescharacteristic, complemented
91#14583240C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583234C2211yescharacteristic, complemented
94#14583234C2211yescharacteristic, complemented
95#14583217C2211yescharacteristic, complemented
96#14583214C2211yescharacteristic
97#14583209C2211yescharacteristic, complemented
98#14583205C2211yescharacteristic, complemented
99#14583205C2211yescharacteristic, complemented
100#14583202C2211yescharacteristic, complemented
101#14583198C2211yescharacteristic
102#14583198C2211yescharacteristic, complemented
103#14583196C2211yescharacteristic
104#14583178C2211yescharacteristic
105#14583178C2211yescharacteristic, complemented
106#14583176C2211yescharacteristic, complemented
107#14583158C2211yescharacteristic, complemented
108#14583157C2211yescharacteristic, complemented
109#14583155C2211yescharacteristic, complemented
110#14583147C2211yescharacteristic, complemented
111#14583146C2211yescharacteristic
112#14583143C2211yescharacteristic
113#14583143C2211yescharacteristic, complemented
114#14583141C2211yescharacteristic, complemented
115#14583129C2211yescharacteristic
116#14583128C2211yescharacteristic, complemented
117#14583121C2211yescharacteristic, complemented
118#14583120C2211yescharacteristic, complemented
119#14583115C2211yescharacteristic, complemented
120#14583113C2211yescharacteristic, complemented
121#14583108C2211yescharacteristic, complemented
122#14583105C2211yescharacteristic
123#14583104C2211yescharacteristic, complemented
124#14583103C2211yescharacteristic
125#14583103C2211yescharacteristic
126#14583103C2211yescharacteristic, complemented
127#14583098C2211yescharacteristic
128#14583093C2211yescharacteristic
129#14583064C2211yescharacteristic, complemented
130#14583063C2211yescharacteristic
131#14583063C2211yescharacteristic, complemented
132#14583059C2211yescharacteristic
133#14583052C2211yescharacteristic
134#14583051C2211yescharacteristic
135#14583051C2211yescharacteristic
136#14583049C2211yescharacteristic
137#14583047C2211yescharacteristic
138#14583046C2211yescharacteristic, complemented
139#14583042C2211yescharacteristic
140#14583042C2211yescharacteristic, complemented
141#14583027C2211yescharacteristic, complemented
142#14583026C2211yescharacteristic, complemented
143#14583012C2211yescharacteristic
144#14583010C2211yescharacteristic
145#14583010C2211yescharacteristic, complemented
146#14583008C2211yescharacteristic, complemented
147#14583005C2211yescharacteristic, complemented
148#14583002C2211yescharacteristic
149#14583002C2211yescharacteristic, complemented
150#14582998C2211yescharacteristic
151#14582998C2211yescharacteristic
152#14582998C2211yescharacteristic
153#14582998C2211yescharacteristic, complemented
154#14582998C2211yescharacteristic, complemented
155#14582998C2211yescharacteristic, complemented
156#14582998C2211yescharacteristic, complemented
157#14582996C2211yescharacteristic, complemented
158#14582993C2211yescharacteristic, complemented
159#14582993C2211yescharacteristic, complemented
160#14582991C2211yescharacteristic, complemented
161#14582990C2211yescharacteristic, complemented
162SD16×Dic43C2211yescharacteristic, complemented
163C4×#10621884C2211yescharacteristic
164#14582986C2211yescharacteristic
165#14582986C2211yescharacteristic, complemented
166#14582981C2211yescharacteristic
167#14582981C2211yescharacteristic
168#14582981C2211yescharacteristic, complemented
169C4×#10621882C2211yescharacteristic, complemented
170#14582977C2211yescharacteristic, complemented
171#14582975C2211yescharacteristic
172#14582973C2211yescharacteristic
173#14582973C2211yescharacteristic, complemented
174#14582970C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic, complemented
179#14582903C2211yescharacteristic
180#14582898C2211yescharacteristic
181#14582898C2211yescharacteristic, complemented
182#14582898C2211yescharacteristic, complemented
183#14582894C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582856C2211yescharacteristic, complemented
186#14582854C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C43×#552C2211yescharacteristic, complemented
189C43×#547C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#484C2211yescharacteristic, complemented
192C43×#483C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic
194C43×#480C2211yescharacteristic, complemented
195C43×#478C2211yescharacteristic, complemented
196C43×#477C2211yescharacteristic, complemented
197C43×#468C2211yescharacteristic
198C43×#465C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C2×#107×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C2×#10621898C2311yescharacteristic
207C22×D172C2311yescharacteristic
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210C22×C4×D43—21no—
211#13063353—24no—
212#13063352—24no—
213#13063347—24no—
214C2×Dic172C2311yescharacteristic
215C2×Dic172C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621873C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×#10621884C2311yescharacteristic
226C2×D344C2311yescharacteristic
227C2×D344C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621877C2311yescharacteristic
230C2×#10621877C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×C8×D43C2311yescharacteristic
233#13063325C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063323C2311yescharacteristic
236#13063323C2311yescharacteristic
237#13063321C2311yescharacteristic
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320D411yescharacteristic
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318D411yescharacteristic
249#13063317—21no—
250#13063317—21no—
251#13063316—21no—
252#13063316—21no—
253#13063316—21no—
254#13063316C2311yescharacteristic
255#13063316C2311yescharacteristic
256#13063316C2311yescharacteristic
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063315—21no—
263#13063315D411yescharacteristic
264#13063314—21no—
265#13063313C2311yescharacteristic
266#13063312C2311yescharacteristic
267#13063311—21no—
268#13063311D411yescharacteristic
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063309—21no—
275#13063309D411yescharacteristic
276#13063308—21no—
277#13063308—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307—21no—
286#13063306—21no—
287#13063306D411yescharacteristic
288#13063305—21no—
289#13063305—21no—
290#13063305C2311yescharacteristic
291#13063305C2311yescharacteristic
292#13063305C2311yescharacteristic
293#13063304—21no—
294#13063304C2311yescharacteristic
295#13063304C2311yescharacteristic
296#13063304C2311yescharacteristic
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063302—21no—
301#13063302D411yescharacteristic
302#13063301—21no—
303#13063301—21no—
304#13063301—21no—
305#13063300C2311yescharacteristic
306#13063299—21no—
307#13063299C2311yescharacteristic
308#13063298—21no—
309#13063298—21no—
310#13063298—21no—
311#13063298—21no—
312#13063297—21no—
313#13063297D411yescharacteristic
314#13063296—21no—
315#13063296—21no—
316#13063296—21no—
317#13063295—21no—
318#13063293—21no—
319#13063293—21no—
320#13063293—21no—
321Q8×Dic43C2311yescharacteristic
322C4×Dic86—21no—
323C4×Dic86C2311yescharacteristic
324#13063290—21no—
325#13063290C2311yescharacteristic
326#13063290C2311yescharacteristic
327#13063290C2311yescharacteristic
328#13063290C2311yescharacteristic
329#13063290C2311yescharacteristic
330#13063290C2311yescharacteristic
331C4×D172—21no—
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334D4×Dic43—21no—
335D4×Dic43C2311yescharacteristic
336#13063287—21no—
337#13063287—21no—
338#13063287—21no—
339#13063287C2311yescharacteristic
340#13063287C2311yescharacteristic
341#13063287C2311yescharacteristic
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43C2311yescharacteristic
356C4×C22⋊D43C2311yescharacteristic
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360#13063284—21no—
361#13063284C2311yescharacteristic
362#13063283—21no—
363#13063283—21no—
364#13063283C2311yescharacteristic
365#13063282—21no—
366#13063282—21no—
367#13063282—21no—
368#13063282C2311yescharacteristic
369#13063281—21no—
370#13063281—21no—
371C4⋊C4×D43—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43—21no—
378C4⋊C4×D43—21no—
379C4⋊C4×D43C2311yescharacteristic
380C2×(C2×D43)⋊C4—21no—
381C2×(C2×D43)⋊C4—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C2×C4×Dic43C2311yescharacteristic
386C42×D43—21no—
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43—21no—
439C2×SD16×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441C22×C8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443#126×C43—21no—
444#125×C43—21no—
445#125×C43C2311yescharacteristic
446#123×C43—21no—
447#123×C43—21no—
448#123×C43—21no—
449C22⋊Q8×C43—21no—
450C22⋊Q8×C43C2311yescharacteristic
451C22⋊Q8×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453#121×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459C2×C4⋊C4×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#107×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483#41×C43—82no—
484C2×Q8×C43—21no—
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43C2×D411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43C2411yescharacteristic
495C22×C4×C43C2411yescharacteristic
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43C2×D411yescharacteristic
504C2×C22⋊D43C2×D411yescharacteristic
505C22×Dic43—21no—
506C22×Dic43C2×D411yescharacteristic
507C22×Dic43C2×D411yescharacteristic
508#10621902—22no—
509#10621902—41no—
510D4×D43—22no—
511D4×D43—41no—
512D4×D43—82no—
513#10621898—22no—
514#10621898—22no—
515#10621898—22no—
516#10621898—41no—
517#10621898—41no—
518#10621898—41no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172—22no—
523C2×D172—41no—
524C2×D172C2411yescharacteristic
525C2×D172C2411yescharacteristic
526C2×D172C2411yescharacteristic
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—82no—
543C2×C4×D43C2411yescharacteristic
544C2×Dic86—21no—
545C2×Dic86C2×D411yescharacteristic
546C2×Dic86C2411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549SD16×C43—22no—
550M16×C43—22no—
551C2×C8×C43—22no—
552C2×C8×C43C2411yescharacteristic
553C2×C8×C43C2411yescharacteristic
554C2×C8×C43C2411yescharacteristic
555C2×C8×C43C2411yescharacteristic
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43C2×D411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43C2×D411yescharacteristic
579C22⋊C4×C43C2×D411yescharacteristic
580C42×C43—21no—
581C42×C43—21no—
582C42×C43C2411yescharacteristic
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43C2×D411yescharacteristic
590C22⋊Dic43C2×D411yescharacteristic
591C22⋊Dic43C2×D411yescharacteristic
592C22⋊Dic43C2×D411yescharacteristic
593#10621885—41no—
594#10621884—22no—
595#10621884—41no—
596#10621883—41no—
597#10621883—41no—
598#10621882—22no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43C2×D411yescharacteristic
631C4⋊Dic43C2×D411yescharacteristic
632C4⋊Dic43C2×D411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43C2×D411yescharacteristic
668C4×Dic43C2×D411yescharacteristic
669C4×Dic43C2411yescharacteristic
670C4×Dic43C2411yescharacteristic
671C4×Dic43C2411yescharacteristic
672#10621877—41no—
673#10621877—41no—
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678Dic172—22no—
679Dic172—41no—
680D344—22no—
681D344#4114yescomplemented
682#10621873—22no—
683#10621873—22no—
684#10621873—22no—
685#10621873—22no—
686#10621873—41no—
687#10621872—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43C22×D411yescharacteristic
691C23×C43C22×D411yescharacteristic
692C22×D43—21no—
693C22×D43—21no—
694C22×D43—21no—
695C22×D43—42no—
696C22×D43—42no—
697C22×D43—42no—
698C22×D43—81no—
699C22×D43—81no—
700C22×D43—81no—
701C22×D43C22×D411yescharacteristic
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—81no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—41no—
708D4×C43—42no—
709D4×C43—81no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—42no—
722C2×C4×C43—81no—
723C2×C4×C43—81no—
724C2×C4×C43—81no—
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C2511yescharacteristic
730C22⋊D43—41no—
731C22⋊D43—41no—
732C22⋊D43—42no—
733C22⋊D43—42no—
734C22⋊D43—42no—
735C22⋊D43—42no—
736C22⋊D43—81no—
737C22⋊D43—81no—
738C22⋊D43—81no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—41no—
745C2×Dic43—41no—
746C2×Dic43—81no—
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754D172—21no—
755D172—21no—
756D172—21no—
757D172—21no—
758D172—42no—
759D172—42no—
760D172—81no—
761D172C2×#4112yes—
762D172C2×#4112yes—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—42no—
766C4×D43—42no—
767C4×D43—42no—
768C4×D43—42no—
769C4×D43—42no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780Dic86—21no—
781Dic86—21no—
782Dic86—21no—
783Dic86—21no—
784Dic86—21no—
785Dic86—21no—
786Dic86—41no—
787Dic86—81no—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43C2×#4112yes—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8—21no—
796#61509—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—21no—
802C22×C43—21no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43C23×D411yescharacteristic
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—22no—
810C2×D43—22no—
811C2×D43—21no—
812C2×D43—41no—
813C2×D43—41no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—84no—
820C2×D43—162no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—41no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43C22×#4111yescharacteristic
833C4×C43#58511yescharacteristic
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—21no—
840Dic43—21no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3515—431no—
847#3513—431no—
848#3400—431no—
849#3389—431no—
850#3372—431no—
851#3370—431no—
852#3352—431no—
853#3346—431no—
854#3343D4311yescharacteristic, complemented
855#3330—431no—
856#3323—431no—
857#3315—431no—
858#3314—431no—
859#3310—431no—
860#3307—431no—
861#3272—431no—
862#3267—431no—
863#3267—431no—
864#3178—431no—
865#3174—431no—
866#3172—431no—
867#3124—431no—
868#3123—431no—
869#3120—431no—
870#3119—431no—
871#3111—431no—
872#3110—431no—
873#2967—431no—
874#2951—431no—
875#2946—431no—
876C4×AGL(1,ℤ/8)—431no—
877C2×C43—41no—
878C2×C43—41no—
879C2×C43—81no—
880C2×C43D4×#4111yescharacteristic
881C2×C43#358511yescharacteristic
882C2×C43#358611yescharacteristic
883D43—41no—
884D43—42no—
885D43—42no—
886D43—81no—
887C2×AGL(1,ℤ/8)—431no—
888C2×AGL(1,ℤ/8)—431no—
889C2×#135—431no—
890#559—431no—
891#557—431no—
892#554—431no—
893#554—431no—
894#554—431no—
895#553—431no—
896#553—861no—
897#553—861no—
898#552—431no—
899#552—431no—
900#552—861no—
901#552—861no—
902#552—861no—
903#552C2×D4311yescharacteristic, complemented
904#551—861no—
905#551—861no—
906#547—431no—
907#547—431no—
908#547—431no—
909#547C2×D4311yescharacteristic
910#546—431no—
911#546—431no—
912#546—861no—
913D42—431no—
914#542—431no—
915#541—431no—
916#541—431no—
917#540—431no—
918#539—861no—
919#539—861no—
920#539—861no—
921#538—861no—
922#533—431no—
923#529—431no—
924#529—431no—
925#529—861no—
926C2×#125—861no—
927#525—861no—
928C2×#123—861no—
929#520—431no—
930#520—431no—
931#520—431no—
932#518—431no—
933C4×#41—431no—
934C2×C4×D4—431no—
935#501—431no—
936#501C2×D4311yescharacteristic, complemented
937#499—431no—
938#497—431no—
939#497—431no—
940#492—431no—
941#491—431no—
942#491—431no—
943#490—431no—
944#489—431no—
945#488—431no—
946#487—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#484—431no—
951#484—431no—
952#484—431no—
953#484C2×D4311yescharacteristic, complemented
954#483C2×D4311yescharacteristic, complemented
955#482C2×D4311yescharacteristic
956#481—431no—
957#480—431no—
958#480C2×D4311yescharacteristic, complemented
959#479—431no—
960#479—431no—
961#479—431no—
962#478—431no—
963#478—431no—
964#478—431no—
965#478—431no—
966#478C2×D4311yescharacteristic, complemented
967#477C2×D4311yescharacteristic, complemented
968#474—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#470—431no—
973#470—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#468C2×D4311yescharacteristic
979#467—431no—
980#465—431no—
981#465—431no—
982#465C2×D4311yescharacteristic, complemented
983#464—431no—
984#464—431no—
985#463—431no—
986#463—431no—
987#462—431no—
988#461—431no—
989#461—431no—
990#461—431no—
991#461—431no—
992#461—431no—
993#460—431no—
994#459—431no—
995#452—431no—
996#452—431no—
997#452—431no—
998#452—431no—
999#450—431no—
1000#450—431no—
1001#450—431no—
1002#450—431no—
1003#449—431no—
1004#449—431no—
1005#449—431no—
1006#449—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
1013#441—431no—
1014#440—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440C2×D4311yescharacteristic, complemented
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×Q16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×D8—431no—
1034C4×D8—431no—
1035C4×D8—431no—
1036C4×D8—431no—
1037#436—431no—
1038#436—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435C2×D4311yescharacteristic, complemented
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428—431no—
1047#428C2×D4311yescharacteristic, complemented
1048C2×#107C2×D4311yescharacteristic, complemented
1049#418—431no—
1050#417—431no—
1051#417—431no—
1052#417—431no—
1053#416—431no—
1054C2×#102—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6150911yescharacteristic, complemented, Sylow
1059C2×#41—21no—
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41—431no—
1063C2×#41—431no—
1064C22×D4—431no—
1065C22×D4—431no—
1066C22×D4—861no—
1067C23×C4—861no—
1068AGL(1,ℤ/8)—864no—
1069AGL(1,ℤ/8)—864no—
1070#135—864no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×Q16—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16—431no—
1083C2×SD16C22×D4311yescharacteristic
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×D8—431no—
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C2×M16C22×D4311yescharacteristic
1091C22×C8—431no—
1092C22×C8C22×D4311yescharacteristic
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8C22×D4311yescharacteristic
1098#127—431no—
1099#126—21no—
1100#126—431no—
1101#126—431no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#125—21no—
1112#125—431no—
1113#125—431no—
1114#125—431no—
1115#125—431no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125—861no—
1124#125—861no—
1125#125—861no—
1126#125—861no—
1127#125C22×D4311yescharacteristic
1128#124—431no—
1129#124—431no—
1130#124—431no—
1131#124—861no—
1132#124—861no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—431no—
1137#123—431no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153#123—861no—
1154#123—861no—
1155C22⋊Q8—21no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
1160C22⋊Q8—431no—
1161C22⋊Q8—431no—
1162C22⋊Q8—431no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8—861no—
1173C22⋊Q8C22×D4311yescharacteristic
1174C22⋊Q8C22×D4311yescharacteristic
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121C22×D4311yescharacteristic
1188#121C22×D4311yescharacteristic
1189#120—861no—
1190#120—861no—
1191#120—861no—
1192#120—861no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—861no—
1202C4×Q8—861no—
1203C4×Q8C22×D4311yescharacteristic
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4C22×D4311yescharacteristic
1234C4×D4C22×D4311yescharacteristic
1235#117—21no—
1236#117—431no—
1237#117—431no—
1238#117—431no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117C22×D4311yescharacteristic
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—861no—
1250C2×C4⋊C4—861no—
1251C2×C4⋊C4—861no—
1252C2×C4⋊C4—861no—
1253C2×C4⋊C4—861no—
1254C2×C4⋊C4—861no—
1255C2×C4⋊C4—861no—
1256C2×C4⋊C4—861no—
1257C2×C4⋊C4C22×D4311yescharacteristic
1258C2×C4⋊C4C22×D4311yescharacteristic
1259C2×C4⋊C4C22×D4311yescharacteristic
1260C2×C22⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C42—431no—
1266C2×C42—861no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107C22×D4311yescharacteristic
1272#107C22×D4311yescharacteristic
1273#107C22×D4311yescharacteristic
1274#107C22×D4311yescharacteristic
1275#107C22×D4311yescharacteristic
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106C22×D4311yescharacteristic
1281#106C22×D4311yescharacteristic
1282#106C22×D4311yescharacteristic
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8C22×D4311yescharacteristic
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
1304#103C22×D4311yescharacteristic
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8C22×D4311yescharacteristic
1326C22⋊C8C22×D4311yescharacteristic
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332#97C22×D4311yescharacteristic
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8—431no—
1337C24—861no—
1338C24—861no—
1339#41—82no—
1340#41—862no—
1341#41—862no—
1342#41—862no—
1343#41—862no—
1344#41—1721no—
1345#41—1721no—
1346#41—1721no—
1347#41—1721no—
1348C2×Q8—21no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—431no—
1352C2×Q8—431no—
1353C2×Q8—861no—
1354C2×Q8C23×D4311yescharacteristic
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—431no—
1358C2×D4—431no—
1359C2×D4—431no—
1360C2×D4—431no—
1361C2×D4—431no—
1362C2×D4—862no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—862no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—3442no—
1375C2×D4—1721no—
1376C2×D4—1721no—
1377C2×D4D4×D4311yescharacteristic
1378C2×D4C23×D4311yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—431no—
1384C22×C4—431no—
1385C22×C4—431no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—3442no—
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—862no—
1406Q16—1721no—
1407Q16—1721no—
1408SD16—22no—
1409SD16—862no—
1410SD16—862no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—1721no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—434no—
1419D8—862no—
1420D8—862no—
1421M16—22no—
1422M16—862no—
1423M16—1721no—
1424M16—1721no—
1425C2×C8—22no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—431no—
1430C2×C8—1721no—
1431C2×C8C23×D4311yescharacteristic
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4D4×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C4⋊C4C23×D4311yescharacteristic
1485C4⋊C4C23×D4311yescharacteristic
1486C4⋊C4C23×D4311yescharacteristic
1487C4⋊C4C23×D4311yescharacteristic
1488C4⋊C4C23×D4311yescharacteristic
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—431no—
1502C22⋊C4—431no—
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—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4D4×D4311yescharacteristic
1528C22⋊C4D4×D4311yescharacteristic
1529C42—21no—
1530C42—21no—
1531C42—431no—
1532C42—431no—
1533C42—431no—
1534C42—431no—
1535C42—431no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—431no—
1547C23—861no—
1548C23—861no—
1549C23—861no—
1550C23—3441no—
1551C23—3441no—
1552C23—3441no—
1553C23—1722no—
1554C23—1722no—
1555C23—1722no—
1556C23C2×D4×D4311yescharacteristic
1557C23C2×D4×D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—81no—
1561Q8—861no—
1562Q8—861no—
1563Q8—861no—
1564Q8—861no—
1565Q8—861no—
1566Q8—861no—
1567Q8—3441no—
1568Q8—1721no—
1569D4—21no—
1570D4—21no—
1571D4—41no—
1572D4—42no—
1573D4—81no—
1574D4—432no—
1575D4—432no—
1576D4—861no—
1577D4—861no—
1578D4—861no—
1579D4—861no—
1580D4—3441no—
1581D4—3441no—
1582D4—3441no—
1583D4—3441no—
1584D4—1722no—
1585D4—1722no—
1586D4—1721no—
1587D4—1721no—
1588D4—1722no—
1589D4—1722no—
1590D4—1722no—
1591D4—1722no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—42no—
1604C2×C4—81no—
1605C2×C4—81no—
1606C2×C4—81no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—431no—
1612C2×C4—431no—
1613C2×C4—431no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—3441no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—1722no—
1633C2×C4—1722no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4—1721no—
1638C2×C4—1721no—
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C2×D4×D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—861no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C8#41×D4312yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—861no—
1662C22—862no—
1663C22—862no—
1664C22—861no—
1665C22—861no—
1666C22—3444no—
1667C22—1721no—
1668C22—1721no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—6882no—
1675C22C22×D4×D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—861no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—861no—
1693C4—861no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373611yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—81no—
1704C2—3441no—
1705C2—1721no—
1706C2—1722no—
1707C2—1722no—
1708C2#1914808211yescharacteristic
1709C2#1914937111yescharacteristic
1710C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3343C2
socleC22×C43C23×D4
hypercenter#3343D43
hypocenterC43#61509
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3343

Complements

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

NH ≅ G/Ntype
1. #19148569C2semidirect
2. #19148530C2semidirect
3. #19147649C2semidirect
4. #19147550C2semidirect
5. #19147375C2semidirect
6. #19147346C2semidirect
7. #19147166C2semidirect
8. #19147076C2semidirect
9. #19146894C2semidirect
10. #19146805C2semidirect
11. #19146694C2semidirect
12. #19146679C2semidirect
13. #19146619C2semidirect
14. #19146574C2semidirect
15. #19146192C2semidirect
16. #19146125C2semidirect
17. #19146117C2semidirect
18. #19145268C2semidirect
19. #19145216C2semidirect
20. #19145194C2semidirect
21. #19144864C2semidirect
22. #19144849C2semidirect
23. #19144812C2semidirect
24. #19144797C2semidirect
25. #19144699C2semidirect
26. #19144691C2semidirect
27. #19143574C2semidirect
28. #19143469C2semidirect
29. #19143426C2semidirect
30. #19143402C2semidirect
31. C43×#3343C2semidirect
36. #14583627C22semidirect
38. #14583605C22semidirect
39. #14583604C22semidirect
50. #14583554C22semidirect
52. #14583551C22semidirect
58. #14583512C22semidirect
59. #14583509C22semidirect
65. #14583451C22semidirect
72. #14583381C22semidirect
74. #14583380C22semidirect
76. #14583367C22semidirect
78. #14583307C22semidirect
79. #14583299C22semidirect
80. #14583293C22semidirect
81. #14583290C22semidirect
83. #14583266C22semidirect
84. #14583266C22semidirect
86. #14583257C22semidirect
87. #14583256C22semidirect
88. #14583251C22semidirect
89. #14583243C22semidirect
90. #14583242C22semidirect
91. #14583240C22semidirect
92. #14583236C22semidirect
93. #14583234C22semidirect
94. #14583234C22semidirect
95. #14583217C22semidirect
97. #14583209C22semidirect
98. #14583205C22semidirect
99. #14583205C22semidirect
100. #14583202C22semidirect
102. #14583198C22semidirect
105. #14583178C22semidirect
106. #14583176C22semidirect
107. #14583158C22semidirect
108. #14583157C22semidirect
109. #14583155C22semidirect
110. #14583147C22semidirect
113. #14583143C22semidirect
114. #14583141C22semidirect
116. #14583128C22semidirect
117. #14583121C22semidirect
118. #14583120C22semidirect
119. #14583115C22semidirect
120. #14583113C22semidirect
121. #14583108C22semidirect
123. #14583104C22semidirect
126. #14583103C22semidirect
129. #14583064C22semidirect
131. #14583063C22semidirect
138. #14583046C22semidirect
140. #14583042C22semidirect
141. #14583027C22semidirect
142. #14583026C22semidirect
145. #14583010C22semidirect
146. #14583008C22semidirect
147. #14583005C22semidirect
149. #14583002C22semidirect
153. #14582998C22semidirect
154. #14582998C22semidirect
155. #14582998C22semidirect
156. #14582998C22semidirect
157. #14582996C22semidirect
158. #14582993C22semidirect
159. #14582993C22semidirect
160. #14582991C22semidirect
161. #14582990C22semidirect
162. SD16×Dic43C22semidirect
165. #14582986C22semidirect
168. #14582981C22semidirect
169. C4×#10621882C22semidirect
170. #14582977C22semidirect
173. #14582973C22semidirect
174. #14582970C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582940C22semidirect
181. #14582898C22semidirect
182. #14582898C22semidirect
183. #14582894C22semidirect
185. #14582856C22semidirect
186. #14582854C22semidirect
187. M16×Dic43C22semidirect
188. C43×#552C22semidirect
190. C43×#501C22semidirect
191. C43×#484C22semidirect
192. C43×#483C22semidirect
194. C43×#480C22semidirect
195. C43×#478C22semidirect
196. C43×#477C22semidirect
198. C43×#465C22semidirect
199. C43×#440C22semidirect
200. C43×#435C22semidirect
201. C43×#428C22semidirect
202. C2×#107×C43C22semidirect
681. D344#41semidirect
854. #3343D43semidirect
903. #552C2×D43semidirect
936. #501C2×D43semidirect
953. #484C2×D43semidirect
954. #483C2×D43semidirect
958. #480C2×D43semidirect
966. #478C2×D43semidirect
967. #477C2×D43semidirect
982. #465C2×D43semidirect
1024. #440C2×D43semidirect
1042. #435C2×D43semidirect
1047. #428C2×D43semidirect
1048. C2×#107C2×D43semidirect
1058. C43#61509semidirect

Maximal subgroups

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

subgroupindex
#191485692
#191485302
#191476492
#191475502
#191473752
#191473462
#191471662
#191470762
#191468942
#191468052
#191466942
#191466792
#191466192
#191465742
#191461922
#191461252
#191461172
#191452682
#191452162
#191451942
#191448642
#191448492
#191448122
#191447972
#191446992
#191446912
#191435742
#191434692
#191434262
#191434022
C43×#33432
#6150943