Finite Group Databasebeta

← #25979883

Subgroups — #25979883

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#19148540C211yesmaximal, characteristic, complemented
3#19147646C211yesmaximal, characteristic, complemented
4#19147556C211yesmaximal, characteristic, complemented
5#19147379C211yesmaximal, characteristic, complemented
6#19147351C211yesmaximal, characteristic, complemented
7#19147081C211yesmaximal, characteristic, complemented
8#19147036C211yesmaximal, characteristic, complemented
9#19146898C211yesmaximal, characteristic, complemented
10#19146809C211yesmaximal, characteristic, complemented
11#19146685C211yesmaximal, characteristic, complemented
12#19146674C211yesmaximal, characteristic, complemented
13#19146610C211yesmaximal, characteristic, complemented
14#19146569C211yesmaximal, characteristic, complemented
15#19146197C211yesmaximal, characteristic, complemented
16#19146127C211yesmaximal, characteristic, complemented
17#19146127C211yesmaximal, characteristic, complemented
18#19145264C211yesmaximal, characteristic, complemented
19#19145225C211yesmaximal, characteristic, complemented
20#19145196C211yesmaximal, characteristic, complemented
21#19144860C211yesmaximal, characteristic, complemented
22#19144843C211yesmaximal, characteristic, complemented
23#19144816C211yesmaximal, characteristic, complemented
24#19144801C211yesmaximal, characteristic, complemented
25#19144707C211yesmaximal, characteristic, complemented
26#19144691C211yesmaximal, characteristic, complemented
27#19143581C211yesmaximal, characteristic, complemented
28#19143470C211yesmaximal, characteristic, complemented
29#19143425C211yesmaximal, characteristic, complemented
30#19143402C211yesmaximal, characteristic, complemented
31C43×#3352C211yesmaximal, characteristic, complemented
32C2×#13063353C2211yescharacteristic
33C2×#13063353C2211yescharacteristic
34C2×#13063348C2211yescharacteristic
35#14583634C2211yescharacteristic
36#14583627C2211yescharacteristic, complemented
37#14583605C2211yescharacteristic
38#14583605C2211yescharacteristic, complemented
39#14583604C2211yescharacteristic, complemented
40#14583602—21no—
41#14583594—21no—
42#14583593C2211yescharacteristic
43#14583588—21no—
44#14583588C2211yescharacteristic, complemented
45#14583585—21no—
46#14583581—21no—
47#14583574—21no—
48#14583573—21no—
49#14583554C2211yescharacteristic
50#14583551C2211yescharacteristic, complemented
51#14583551C2211yescharacteristic, complemented
52#14583550C2211yescharacteristic
53#14583541—21no—
54#14583540C2211yescharacteristic
55#14583540C2211yescharacteristic
56D4×D172C2211yescharacteristic
57#14583522C2211yescharacteristic
58#14583512C2211yescharacteristic, complemented
59#14583509C2211yescharacteristic, complemented
60#14583505C2211yescharacteristic
61#14583497—21no—
62#14583492—21no—
63#14583490—21no—
64#14583488—21no—
65#14583451C2211yescharacteristic, complemented
66#14583435C2211yescharacteristic
67#14583429C2211yescharacteristic
68#14583427—21no—
69#125×D43—21no—
70#14583411—21no—
71#123×D43—21no—
72#14583381C2211yescharacteristic
73#14583381C2211yescharacteristic, complemented
74#14583380C2211yescharacteristic, complemented
75#14583373C2211yescharacteristic
76#14583367C2211yescharacteristic, complemented
77C2×#13063287C2211yescharacteristic
78#14583306C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583292C2211yescharacteristic, complemented
81#14583292C2211yescharacteristic, complemented
82#14583272C2211yescharacteristic
83#14583269C2211yescharacteristic, complemented
84#14583266C2211yescharacteristic, complemented
85#14583265C2211yescharacteristic
86#14583260C2211yescharacteristic, complemented
87#14583255C2211yescharacteristic, complemented
88#14583248C2211yescharacteristic, complemented
89#14583240C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic, complemented
91#14583234C2211yescharacteristic, complemented
92#14583231C2211yescharacteristic, complemented
93#14583223C2211yescharacteristic
94#14583219C2211yescharacteristic, complemented
95#14583214C2211yescharacteristic, complemented
96#14583212C2211yescharacteristic
97#14583209C2211yescharacteristic, complemented
98#14583202C2211yescharacteristic
99#14583202C2211yescharacteristic, complemented
100#14583198C2211yescharacteristic, complemented
101#14583196C2211yescharacteristic
102#14583196C2211yescharacteristic, complemented
103#14583193C2211yescharacteristic, complemented
104#14583178C2211yescharacteristic
105#14583178C2211yescharacteristic, complemented
106#14583178C2211yescharacteristic, complemented
107#14583155C2211yescharacteristic, complemented
108#14583147C2211yescharacteristic
109#14583146C2211yescharacteristic, complemented
110#14583146C2211yescharacteristic, complemented
111#14583145C2211yescharacteristic
112#14583145C2211yescharacteristic
113#14583138C2211yescharacteristic, complemented
114#14583130C2211yescharacteristic
115#14583129C2211yescharacteristic, complemented
116#14583129C2211yescharacteristic, complemented
117#14583124C2211yescharacteristic, complemented
118#14583124C2211yescharacteristic, complemented
119#14583117C2211yescharacteristic, complemented
120#14583117C2211yescharacteristic, complemented
121#14583109C2211yescharacteristic, complemented
122#14583105C2211yescharacteristic
123#14583103C2211yescharacteristic
124#14583103C2211yescharacteristic
125#14583103C2211yescharacteristic, complemented
126#14583103C2211yescharacteristic, complemented
127#14583099C2211yescharacteristic
128#14583095C2211yescharacteristic
129#14583064C2211yescharacteristic
130#14583064C2211yescharacteristic
131#14583059C2211yescharacteristic, complemented
132#14583059C2211yescharacteristic, complemented
133#14583052C2211yescharacteristic
134#14583052C2211yescharacteristic
135#14583049C2211yescharacteristic
136#14583049C2211yescharacteristic
137#14583047C2211yescharacteristic, complemented
138#14583047C2211yescharacteristic, complemented
139#14583046C2211yescharacteristic
140#14583046C2211yescharacteristic
141#14583029C2211yescharacteristic, complemented
142#14583028C2211yescharacteristic, complemented
143#14583010C2211yescharacteristic
144#14583010C2211yescharacteristic
145#14583010C2211yescharacteristic, complemented
146#14583010C2211yescharacteristic, complemented
147#14583003C2211yescharacteristic, complemented
148#14583002C2211yescharacteristic
149#14583002C2211yescharacteristic, complemented
150#14583002C2211yescharacteristic, complemented
151#14582998C2211yescharacteristic
152#14582998C2211yescharacteristic
153#14582998C2211yescharacteristic, complemented
154#14582998C2211yescharacteristic, complemented
155#14582998C2211yescharacteristic, complemented
156#14582998C2211yescharacteristic, complemented
157#14582997C2211yescharacteristic
158#14582997C2211yescharacteristic, complemented
159Q16×Dic43C2211yescharacteristic, complemented
160#14582991C2211yescharacteristic, complemented
161#14582986C2211yescharacteristic
162#14582986C2211yescharacteristic
163#14582986C2211yescharacteristic, complemented
164#14582986C2211yescharacteristic, complemented
165#14582984C2211yescharacteristic, complemented
166C4×D344C2211yescharacteristic
167#14582981C2211yescharacteristic
168#14582981C2211yescharacteristic, complemented
169#14582981C2211yescharacteristic, complemented
170#14582974C2211yescharacteristic, complemented
171#14582971C2211yescharacteristic
172#14582968C2211yescharacteristic, complemented
173#14582968C2211yescharacteristic, complemented
174#14582967C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#107×D43C2211yescharacteristic, complemented
179#14582903C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582899C2211yescharacteristic, complemented
182#14582898C2211yescharacteristic, complemented
183#14582893C2211yescharacteristic, complemented
184C2×#13063245C2211yescharacteristic
185#14582857C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C43×#552C2211yescharacteristic
189C43×#552C2211yescharacteristic
190C43×#499C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#485C2211yescharacteristic, complemented
193C43×#484C2211yescharacteristic, complemented
194C43×#484C2211yescharacteristic, complemented
195C43×#479C2211yescharacteristic, complemented
196C43×#479C2211yescharacteristic, complemented
197C43×#470C2211yescharacteristic, complemented
198C43×#470C2211yescharacteristic, complemented
199C4×Q16×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic
201C43×#428C2211yescharacteristic, complemented
202C43×#428C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×#10621898C2311yescharacteristic
208C22×D172C2311yescharacteristic
209C22×D172C2311yescharacteristic
210C2×D4×D43—21no—
211C22×C4×D43—21no—
212#13063353—24no—
213#13063353—24no—
214#13063348—24no—
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621873C2311yescharacteristic
222C2×#10621873C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×#10621884C2311yescharacteristic
226C2×#10621884C2311yescharacteristic
227C2×D344C2311yescharacteristic
228C2×D344C2311yescharacteristic
229C2×D344C2311yescharacteristic
230C2×#10621877C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C22×C43⋊C8C2311yescharacteristic
233C2×C8×D43C2311yescharacteristic
234#13063325C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063323C2311yescharacteristic
238#13063323C2311yescharacteristic
239#13063322C2311yescharacteristic
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320D411yescharacteristic
245#13063319—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318D411yescharacteristic
250#13063317—21no—
251#13063317—21no—
252#13063316—21no—
253#13063316—21no—
254#13063316—21no—
255#13063316C2311yescharacteristic
256#13063316C2311yescharacteristic
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063315D411yescharacteristic
263#13063314C2311yescharacteristic
264#13063314C2311yescharacteristic
265#13063313—21no—
266#13063311—21no—
267#13063311D411yescharacteristic
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310—21no—
277#13063309—21no—
278#13063309D411yescharacteristic
279#13063308—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307—21no—
287#13063306D411yescharacteristic
288#13063305—21no—
289#13063305—21no—
290#13063305—21no—
291#13063305C2311yescharacteristic
292#13063305C2311yescharacteristic
293#13063304—21no—
294#13063304C2311yescharacteristic
295#13063304C2311yescharacteristic
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063303—21no—
302#13063302—21no—
303#13063302D411yescharacteristic
304#13063300—21no—
305#13063300—21no—
306#13063300—21no—
307#13063300—21no—
308#13063300—21no—
309#13063300C2311yescharacteristic
310#13063300C2311yescharacteristic
311#13063299C2311yescharacteristic
312#13063299C2311yescharacteristic
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063297D411yescharacteristic
317#13063296—21no—
318#13063295—21no—
319#13063295—21no—
320#13063295—21no—
321#13063295—21no—
322Q8×Dic43C2311yescharacteristic
323Q8×Dic43C2311yescharacteristic
324C4×Dic86—21no—
325C4×Dic86C2311yescharacteristic
326#13063290—21no—
327#13063290C2311yescharacteristic
328#13063290C2311yescharacteristic
329#13063290C2311yescharacteristic
330#13063290C2311yescharacteristic
331C4×D172—21no—
332C4×D172—21no—
333C4×D172—21no—
334C4×D172—21no—
335C4×D172—21no—
336C4×D172—21no—
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339#13063287—21no—
340#13063287—21no—
341#13063287—21no—
342#13063287—21no—
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
352#13063287C2311yescharacteristic
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43C2311yescharacteristic
357C4×C22⋊D43C2311yescharacteristic
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361#13063284C2311yescharacteristic
362#13063283—21no—
363#13063283—21no—
364#13063282—21no—
365#13063282—21no—
366#13063282—21no—
367#13063282—21no—
368#13063282C2311yescharacteristic
369#13063281—21no—
370C4⋊C4×D43—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×D43C2311yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C2×(C2×D43)⋊C4—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C2×C4×Dic43C2311yescharacteristic
386C42×D43—21no—
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063245C2311yescharacteristic
414#13063245C2311yescharacteristic
415#13063245C2311yescharacteristic
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#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441#126×C43—21no—
442#126×C43—21no—
443#125×C43—21no—
444#125×C43—21no—
445#125×C43C2311yescharacteristic
446#125×C43C2311yescharacteristic
447#123×C43—21no—
448#123×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450C22⋊Q8×C43C2311yescharacteristic
451C22⋊Q8×C43C2311yescharacteristic
452C22⋊Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456#117×C43—21no—
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×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#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C2×Q8×C43C2411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C2×D4×C43C2×D411yescharacteristic
486C22×C4×C43—21no—
487C22×C4×C43—21no—
488C22×C4×C43C2411yescharacteristic
489C22×C4×C43C2411yescharacteristic
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43C2×D411yescharacteristic
495C2×C22⋊D43C2×D411yescharacteristic
496C22×Dic43C2×D411yescharacteristic
497C22×Dic43C2×D411yescharacteristic
498#10621902—22no—
499#10621902—22no—
500#10621902—41no—
501#10621902—41no—
502D4×D43—82no—
503#10621898—22no—
504#10621898—22no—
505#10621898—41no—
506#10621898—41no—
507#10621898—82no—
508C2×D172—21no—
509C2×D172—21no—
510C2×D172—21no—
511C2×D172—21no—
512C2×D172—21no—
513C2×D172—21no—
514C2×D172—21no—
515C2×D172—21no—
516C2×D172—22no—
517C2×D172—22no—
518C2×D172—41no—
519C2×D172—41no—
520C2×D172C2411yescharacteristic
521C2×D172C2411yescharacteristic
522C2×D172C2411yescharacteristic
523C2×D172C2411yescharacteristic
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
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×Dic86—21no—
546C2×Dic86C2×D411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549Q16×C43—22no—
550M16×C43—22no—
551M16×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×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43C2×D411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43C2×D411yescharacteristic
582C22⋊C4×C43C2×D411yescharacteristic
583C42×C43—21no—
584C42×C43—21no—
585C42×C43—21no—
586C42×C43—21no—
587C42×C43C2411yescharacteristic
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43C2×D411yescharacteristic
591C22⋊Dic43C2×D411yescharacteristic
592C22⋊Dic43C2×D411yescharacteristic
593C22⋊Dic43C2×D411yescharacteristic
594#10621885—41no—
595#10621885—41no—
596#10621884—22no—
597#10621884—22no—
598#10621884—41no—
599#10621884—41no—
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)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43C2×D411yescharacteristic
635C4⋊Dic43C2×D411yescharacteristic
636C4⋊Dic43C2×D411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
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—
673C2×C43⋊C8—41no—
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678D344—22no—
679D344—22no—
680D344#4114yescomplemented
681#10621873—22no—
682#10621873—22no—
683#10621873—22no—
684#10621873—22no—
685#10621873—41no—
686#10621873—41no—
687#10621872—41no—
688C8×D43—22no—
689C23×C43C22×D411yescharacteristic
690C23×C43C22×D411yescharacteristic
691C22×D43—21no—
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—21no—
705Q8×C43—21no—
706D4×C43—41no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
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—42no—
720C2×C4×C43—81no—
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C2511yescharacteristic
726C22⋊D43—41no—
727C22⋊D43—41no—
728C22⋊D43—42no—
729C22⋊D43—42no—
730C22⋊D43—42no—
731C22⋊D43—81no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—41no—
737C2×Dic43—41no—
738C2×Dic43C22×D411yescharacteristic
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745D172—21no—
746D172—21no—
747D172—21no—
748D172—21no—
749D172—21no—
750D172—21no—
751D172—42no—
752D172—42no—
753D172—42no—
754D172—42no—
755D172—81no—
756D172—81no—
757D172—81no—
758D172—81no—
759D172C2×#4112yes—
760D172C2×#4112yes—
761C4×D43—21no—
762C4×D43—21no—
763C4×D43—42no—
764C4×D43—42no—
765C4×D43—42no—
766C4×D43—42no—
767C4×D43—42no—
768C4×D43—81no—
769C4×D43—81no—
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—
780C4×D43—81no—
781Dic86—21no—
782Dic86—21no—
783Dic86—21no—
784Dic86—21no—
785Dic86—41no—
786Dic86—81no—
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×C43C23×D411yescharacteristic
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—22no—
807C2×D43—22no—
808C2×D43—21no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
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×C43—41no—
833C4×C43C22×#4111yescharacteristic
834C4×C43#58511yescharacteristic
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—21no—
840Dic43—21no—
841Dic43—21no—
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#3352D4311yescharacteristic, complemented
853#3346—431no—
854#3343—431no—
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×C43D4×#4111yescharacteristic
880C2×C43#358511yescharacteristic
881C2×C43#358611yescharacteristic
882D43—41no—
883D43—42no—
884D43—42no—
885D43—81no—
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—861no—
900#552—861no—
901#552—861no—
902#552C2×D4311yescharacteristic
903#552C2×D4311yescharacteristic
904#551—861no—
905#551—861no—
906#547—431no—
907#547—431no—
908#547—431no—
909#547—431no—
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#501—431no—
937#499C2×D4311yescharacteristic, complemented
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#485C2×D4311yescharacteristic, complemented
949#485C2×D4311yescharacteristic, complemented
950#484—431no—
951#484—431no—
952#484C2×D4311yescharacteristic, complemented
953#484C2×D4311yescharacteristic, complemented
954#483—431no—
955#482—431no—
956#481—431no—
957#480—431no—
958#480—431no—
959#479—431no—
960#479C2×D4311yescharacteristic, complemented
961#479C2×D4311yescharacteristic, complemented
962#478—431no—
963#478—431no—
964#478—431no—
965#478—431no—
966#478—431no—
967#477—431no—
968#474—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#470C2×D4311yescharacteristic, complemented
973#470C2×D4311yescharacteristic, complemented
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#468—431no—
979#467—431no—
980#465—431no—
981#465—431no—
982#465—431no—
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#440—431no—
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×Q16C2×D4311yescharacteristic, complemented
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#436C2×D4311yescharacteristic
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435—431no—
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428C2×D4311yescharacteristic, complemented
1047#428C2×D4311yescharacteristic, complemented
1048C2×#107—431no—
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—431no—
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41—431no—
1063C2×#41—861no—
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×Q16C22×D4311yescharacteristic
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×SD16—431no—
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×D8—431no—
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16C22×D4311yescharacteristic
1090C2×M16C22×D4311yescharacteristic
1091C22×C8—431no—
1092C22×C8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8—431no—
1098#127—431no—
1099#126—21no—
1100#126—21no—
1101#126—431no—
1102#126—431no—
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—21no—
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#125C22×D4311yescharacteristic
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—431no—
1136#123—431no—
1137#123—861no—
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—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
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⋊Q8C22×D4311yescharacteristic
1172C22⋊Q8C22×D4311yescharacteristic
1173C22⋊Q8C22×D4311yescharacteristic
1174C22⋊Q8C22×D4311yescharacteristic
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—431no—
1179#121—431no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
1188#121—861no—
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—861no—
1201C4×Q8—861no—
1202C4×Q8C22×D4311yescharacteristic
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—431no—
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×D4—861no—
1234C4×D4C22×D4311yescharacteristic
1235#117—21no—
1236#117—21no—
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#117C22×D4311yescharacteristic
1247#117C22×D4311yescharacteristic
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—431no—
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⋊C4—861no—
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#107—431no—
1272#107C22×D4311yescharacteristic
1273#107C22×D4311yescharacteristic
1274#107C22×D4311yescharacteristic
1275#107C22×D4311yescharacteristic
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106C22×D4311yescharacteristic
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#103C22×D4311yescharacteristic
1300#103C22×D4311yescharacteristic
1301#103C22×D4311yescharacteristic
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#102—431no—
1319#102—431no—
1320#102—431no—
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#97—431no—
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8C22×D4311yescharacteristic
1337C24—861no—
1338C24—861no—
1339#41—862no—
1340#41—862no—
1341#41—862no—
1342#41—862no—
1343#41—3442no—
1344#41—1721no—
1345#41—1721no—
1346#41—1721no—
1347#41—1721no—
1348C2×Q8—431no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8C23×D4311yescharacteristic
1354C2×Q8C23×D4311yescharacteristic
1355C2×D4—431no—
1356C2×D4—431no—
1357C2×D4—431no—
1358C2×D4—431no—
1359C2×D4—431no—
1360C2×D4—431no—
1361C2×D4—862no—
1362C2×D4—862no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—3442no—
1376C2×D4—1721no—
1377C2×D4—1721no—
1378C2×D4D4×D4311yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—431no—
1382C22×C4—431no—
1383C22×C4—431no—
1384C22×C4—861no—
1385C22×C4—861no—
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—22no—
1406Q16—1721no—
1407Q16—1721no—
1408SD16—862no—
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—22no—
1423M16—1721no—
1424M16—1721no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—862no—
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—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
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—431no—
1456C4⋊C4—431no—
1457C4⋊C4—431no—
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—21no—
1532C42—21no—
1533C42—431no—
1534C42—431no—
1535C42—431no—
1536C42—431no—
1537C42—431no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42C23×D4311yescharacteristic
1545C23—431no—
1546C23—861no—
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—21no—
1561Q8—21no—
1562Q8—861no—
1563Q8—861no—
1564Q8—861no—
1565Q8—861no—
1566Q8—3441no—
1567Q8—3441no—
1568Q8—1721no—
1569D4—41no—
1570D4—432no—
1571D4—432no—
1572D4—861no—
1573D4—861no—
1574D4—861no—
1575D4—861no—
1576D4—861no—
1577D4—861no—
1578D4—3441no—
1579D4—3441no—
1580D4—3441no—
1581D4—3441no—
1582D4—3441no—
1583D4—1722no—
1584D4—1722no—
1585D4—1722no—
1586D4—1722no—
1587D4—1721no—
1588D4—1721no—
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—21no—
1604C2×C4—42no—
1605C2×C4—81no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—431no—
1612C2×C4—431no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—3441no—
1620C2×C4—3441no—
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—861no—
1659C22—862no—
1660C22—862no—
1661C22—861no—
1662C22—861no—
1663C22—3444no—
1664C22—1721no—
1665C22—1721no—
1666C22—1721no—
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—41no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—861no—
1693C4—861no—
1694C4—861no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373611yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—3441no—
1704C2—3441no—
1705C2—1721no—
1706C2—1722no—
1707C2—1722no—
1708C2#1914808211yescharacteristic
1709C2#1914937211yescharacteristic
1710C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3352C2
socleC22×C43C23×D4
hypercenter#3352D43
hypocenterC43#61509
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3352

Complements

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

NH ≅ G/Ntype
1. #19148569C2semidirect
2. #19148540C2semidirect
3. #19147646C2semidirect
4. #19147556C2semidirect
5. #19147379C2semidirect
6. #19147351C2semidirect
7. #19147081C2semidirect
8. #19147036C2semidirect
9. #19146898C2semidirect
10. #19146809C2semidirect
11. #19146685C2semidirect
12. #19146674C2semidirect
13. #19146610C2semidirect
14. #19146569C2semidirect
15. #19146197C2semidirect
16. #19146127C2semidirect
17. #19146127C2semidirect
18. #19145264C2semidirect
19. #19145225C2semidirect
20. #19145196C2semidirect
21. #19144860C2semidirect
22. #19144843C2semidirect
23. #19144816C2semidirect
24. #19144801C2semidirect
25. #19144707C2semidirect
26. #19144691C2semidirect
27. #19143581C2semidirect
28. #19143470C2semidirect
29. #19143425C2semidirect
30. #19143402C2semidirect
31. C43×#3352C2semidirect
36. #14583627C22semidirect
38. #14583605C22semidirect
39. #14583604C22semidirect
44. #14583588C22semidirect
50. #14583551C22semidirect
51. #14583551C22semidirect
58. #14583512C22semidirect
59. #14583509C22semidirect
65. #14583451C22semidirect
73. #14583381C22semidirect
74. #14583380C22semidirect
76. #14583367C22semidirect
78. #14583306C22semidirect
79. #14583306C22semidirect
80. #14583292C22semidirect
81. #14583292C22semidirect
83. #14583269C22semidirect
84. #14583266C22semidirect
86. #14583260C22semidirect
87. #14583255C22semidirect
88. #14583248C22semidirect
89. #14583240C22semidirect
90. #14583236C22semidirect
91. #14583234C22semidirect
92. #14583231C22semidirect
94. #14583219C22semidirect
95. #14583214C22semidirect
97. #14583209C22semidirect
99. #14583202C22semidirect
100. #14583198C22semidirect
102. #14583196C22semidirect
103. #14583193C22semidirect
105. #14583178C22semidirect
106. #14583178C22semidirect
107. #14583155C22semidirect
109. #14583146C22semidirect
110. #14583146C22semidirect
113. #14583138C22semidirect
115. #14583129C22semidirect
116. #14583129C22semidirect
117. #14583124C22semidirect
118. #14583124C22semidirect
119. #14583117C22semidirect
120. #14583117C22semidirect
121. #14583109C22semidirect
125. #14583103C22semidirect
126. #14583103C22semidirect
131. #14583059C22semidirect
132. #14583059C22semidirect
137. #14583047C22semidirect
138. #14583047C22semidirect
141. #14583029C22semidirect
142. #14583028C22semidirect
145. #14583010C22semidirect
146. #14583010C22semidirect
147. #14583003C22semidirect
149. #14583002C22semidirect
150. #14583002C22semidirect
153. #14582998C22semidirect
154. #14582998C22semidirect
155. #14582998C22semidirect
156. #14582998C22semidirect
158. #14582997C22semidirect
159. Q16×Dic43C22semidirect
160. #14582991C22semidirect
163. #14582986C22semidirect
164. #14582986C22semidirect
165. #14582984C22semidirect
168. #14582981C22semidirect
169. #14582981C22semidirect
170. #14582974C22semidirect
172. #14582968C22semidirect
173. #14582968C22semidirect
174. #14582967C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #107×D43C22semidirect
181. #14582899C22semidirect
182. #14582898C22semidirect
183. #14582893C22semidirect
185. #14582857C22semidirect
186. #14582853C22semidirect
187. M16×Dic43C22semidirect
190. C43×#499C22semidirect
191. C43×#485C22semidirect
192. C43×#485C22semidirect
193. C43×#484C22semidirect
194. C43×#484C22semidirect
195. C43×#479C22semidirect
196. C43×#479C22semidirect
197. C43×#470C22semidirect
198. C43×#470C22semidirect
199. C4×Q16×C43C22semidirect
201. C43×#428C22semidirect
202. C43×#428C22semidirect
680. D344#41semidirect
852. #3352D43semidirect
937. #499C2×D43semidirect
948. #485C2×D43semidirect
949. #485C2×D43semidirect
952. #484C2×D43semidirect
953. #484C2×D43semidirect
960. #479C2×D43semidirect
961. #479C2×D43semidirect
972. #470C2×D43semidirect
973. #470C2×D43semidirect
1027. C4×Q16C2×D43semidirect
1046. #428C2×D43semidirect
1047. #428C2×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
#191485402
#191476462
#191475562
#191473792
#191473512
#191470812
#191470362
#191468982
#191468092
#191466852
#191466742
#191466102
#191465692
#191461972
#191461272
#191452642
#191452252
#191451962
#191448602
#191448432
#191448162
#191448012
#191447072
#191446912
#191435812
#191434702
#191434252
#191434022
C43×#33522
#6150943