Finite Group Databasebeta

← #25979629

Subgroups — #25979629

Order 11008.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148696C211yesmaximal, characteristic, complemented
2#19148669C211yesmaximal, characteristic, complemented
3#19147668C211yesmaximal, characteristic, complemented
4#19147543C211yesmaximal, characteristic, complemented
5#19147284C211yesmaximal, characteristic, complemented
6#19147258C211yesmaximal, characteristic, complemented
7#19147158C211yesmaximal, characteristic, complemented
8#19147118C211yesmaximal, characteristic, complemented
9#19147092C211yesmaximal, characteristic, complemented
10#19146527C211yesmaximal, characteristic, complemented
11#19146526C211yesmaximal, characteristic, complemented
12#19146494C211yesmaximal, characteristic, complemented
13#19146475C211yesmaximal, characteristic, complemented
14#19146443C211yesmaximal, characteristic, complemented
15#19146428C211yesmaximal, characteristic, complemented
16#19146219C211yesmaximal, characteristic, complemented
17#19146145C211yesmaximal, characteristic, complemented
18#19146138C211yesmaximal, characteristic, complemented
19#19145276C211yesmaximal, characteristic, complemented
20#19145265C211yesmaximal, characteristic, complemented
21#19145161C211yesmaximal, characteristic, complemented
22#19144830C211yesmaximal, characteristic, complemented
23#19144800C211yesmaximal, characteristic, complemented
24#19144781C211yesmaximal, characteristic, complemented
25#19144710C211yesmaximal, characteristic, complemented
26#19144702C211yesmaximal, characteristic, complemented
27#19143568C211yesmaximal, characteristic, complemented
28#19143437C211yesmaximal, characteristic, complemented
29#19143423C211yesmaximal, characteristic, complemented
30C4×#13063348C211yesmaximal, characteristic, complemented
31C43×#3120C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C2×#13063348C2211yescharacteristic
35#14583632—21no—
36#14583632C2211yescharacteristic, complemented
37#14583628C2211yescharacteristic, complemented
38#14583623C2211yescharacteristic
39#14583620C2211yescharacteristic
40#14583614—21no—
41#14583614C2211yescharacteristic, complemented
42#14583605C2211yescharacteristic
43#14583602—21no—
44#14583602C2211yescharacteristic
45#14583597—21no—
46#14583597C2211yescharacteristic
47#14583584—21no—
48#14583584C2211yescharacteristic
49#14583583C2211yescharacteristic
50#14583581—21no—
51#14583574—21no—
52#14583574—21no—
53#14583568C2211yescharacteristic
54#14583561C2211yescharacteristic, complemented
55#14583556C2211yescharacteristic
56#14583552C2211yescharacteristic
57#14583540C2211yescharacteristic
58#14583540C2211yescharacteristic
59#14583521C2211yescharacteristic
60#14583520—21no—
61#14583520C2211yescharacteristic
62#14583500—21no—
63#14583500C2211yescharacteristic, complemented
64#14583497—21no—
65#14583488—21no—
66#14583436C2211yescharacteristic
67#14583434—21no—
68#14583431—21no—
69#14583431C2211yescharacteristic, complemented
70#14583427—21no—
71#14583427C2211yescharacteristic
72#126×D43—21no—
73#14583381C2211yescharacteristic
74#14583375C2211yescharacteristic, complemented
75#14583373C2211yescharacteristic
76C4×#10621902C2211yescharacteristic
77C4×#10621902C2211yescharacteristic, complemented
78#14583309C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583299C2211yescharacteristic, complemented
81#14583291C2211yescharacteristic, complemented
82#14583285C2211yescharacteristic
83#14583280C2211yescharacteristic
84#14583256C2211yescharacteristic, complemented
85#14583255C2211yescharacteristic
86#14583255C2211yescharacteristic
87#14583252C2211yescharacteristic, complemented
88#14583249C2211yescharacteristic, complemented
89#14583244C2211yescharacteristic, complemented
90#14583242C2211yescharacteristic, complemented
91#14583241C2211yescharacteristic
92#14583238C2211yescharacteristic, complemented
93#14583238C2211yescharacteristic, complemented
94#14583226C2211yescharacteristic
95#14583225C2211yescharacteristic
96#14583224C2211yescharacteristic
97#14583221C2211yescharacteristic, complemented
98#14583219C2211yescharacteristic, complemented
99#14583211C2211yescharacteristic, complemented
100#14583208C2211yescharacteristic, complemented
101#14583208C2211yescharacteristic, complemented
102#14583204C2211yescharacteristic, complemented
103#14583202C2211yescharacteristic
104#14583198C2211yescharacteristic
105#14583198C2211yescharacteristic, complemented
106#14583193C2211yescharacteristic, complemented
107#14583190C2211yescharacteristic
108#14583182C2211yescharacteristic, complemented
109#14583180C2211yescharacteristic
110#14583155C2211yescharacteristic
111#14583151C2211yescharacteristic
112#14583148C2211yescharacteristic, complemented
113#14583147C2211yescharacteristic
114#14583139C2211yescharacteristic, complemented
115#14583138C2211yescharacteristic
116#14583136C2211yescharacteristic
117#14583134C2211yescharacteristic
118#14583130C2211yescharacteristic
119#14583129C2211yescharacteristic
120#14583125C2211yescharacteristic, complemented
121#14583125C2211yescharacteristic, complemented
122#14583124C2211yescharacteristic
123#14583123C2211yescharacteristic
124#14583123C2211yescharacteristic
125#14583119C2211yescharacteristic, complemented
126#14583117C2211yescharacteristic
127#14583115C2211yescharacteristic
128#14583115C2211yescharacteristic
129#14583113C2211yescharacteristic
130#14583097C2211yescharacteristic, complemented
131#14583093C2211yescharacteristic
132#14583064C2211yescharacteristic
133#14583060C2211yescharacteristic, complemented
134#14583053C2211yescharacteristic, complemented
135#14583052C2211yescharacteristic
136#14583047C2211yescharacteristic
137#14583047C2211yescharacteristic
138#14583043C2211yescharacteristic
139#14583043C2211yescharacteristic
140#14583039C2211yescharacteristic
141#14583035C2211yescharacteristic
142#14583028C2211yescharacteristic, complemented
143#14583023C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic
145#14583009C2211yescharacteristic
146#14583009C2211yescharacteristic
147#14583004C2211yescharacteristic, complemented
148#14583003C2211yescharacteristic, complemented
149#14583002C2211yescharacteristic
150#14583001C2211yescharacteristic
151#14582997C2211yescharacteristic
152#14582997C2211yescharacteristic
153#14582997C2211yescharacteristic, complemented
154Q16×Dic43C2211yescharacteristic, complemented
155Q16×Dic43C2211yescharacteristic, complemented
156C4×#10621885C2211yescharacteristic, complemented
157C4×#10621873C2211yescharacteristic
158C4×#10621884C2211yescharacteristic
159C4×#10621884C2211yescharacteristic
160C4×#10621884C2211yescharacteristic, complemented
161#14582986C2211yescharacteristic
162#14582984C2211yescharacteristic
163#14582984C2211yescharacteristic, complemented
164C4×D344C2211yescharacteristic
165#14582981C2211yescharacteristic
166C4×#10621882C2211yescharacteristic
167C4×#10621882C2211yescharacteristic
168#14582974C2211yescharacteristic
169#14582973C2211yescharacteristic
170#14582969C2211yescharacteristic, complemented
171#14582964C2211yescharacteristic, complemented
172(C22⋊D43)⋊C8C2211yescharacteristic
173(C22⋊D43)⋊C8C2211yescharacteristic
174#14582958C2211yescharacteristic, complemented
175#14582954C2211yescharacteristic, complemented
176#14582939C2211yescharacteristic
177#14582938C2211yescharacteristic, complemented
178#14582936C2211yescharacteristic, complemented
179#14582895C2211yescharacteristic
180#14582894C2211yescharacteristic
181#14582894C2211yescharacteristic
182#14582894C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184C2×#13063245C2211yescharacteristic
185#14582856C2211yescharacteristic, complemented
186#14582855C2211yescharacteristic
187C4×C8×D43C2211yescharacteristic, complemented
188C43×#541C2211yescharacteristic
189C43×#520C2211yescharacteristic
190C43×#484C2211yescharacteristic
191C43×#483C2211yescharacteristic
192C43×#479C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#462C2211yescharacteristic, complemented
195C43×#461C2211yescharacteristic, complemented
196C43×#452C2211yescharacteristic
197C43×#452C2211yescharacteristic
198C43×#441C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C4×Q16×C43C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621902C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207C22×D172C2311yescharacteristic
208#13063357—24no—
209#13063350—24no—
210#13063348—24no—
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621884C2311yescharacteristic
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×D344C2311yescharacteristic
220C2×D344C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621877C2311yescharacteristic
224C2×#10621872C2311yescharacteristic
225C22×C43⋊C8C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229#13063325—21no—
230#13063325C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063321—21no—
233#13063321C2311yescharacteristic
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320D411yescharacteristic
243#13063319—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318D411yescharacteristic
248#13063316—21no—
249#13063316—21no—
250#13063316C2311yescharacteristic
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063315—21no—
254#13063315—21no—
255#13063315D411yescharacteristic
256#13063314C2311yescharacteristic
257#13063314C2311yescharacteristic
258#13063313—21no—
259#13063313—21no—
260#13063313C2311yescharacteristic
261#13063312—21no—
262#13063312C2311yescharacteristic
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063311—21no—
267#13063311—21no—
268#13063311D411yescharacteristic
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#13063310D411yescharacteristic
278#13063308—21no—
279#13063308—21no—
280#13063308—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307D411yescharacteristic
287#13063305—21no—
288#13063305—21no—
289#13063305—21no—
290#13063305C2311yescharacteristic
291#13063304—21no—
292#13063304C2311yescharacteristic
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063303D411yescharacteristic
298#13063301C2311yescharacteristic
299#13063301C2311yescharacteristic
300#13063300—21no—
301#13063300—21no—
302#13063300—21no—
303#13063300—21no—
304#13063300—21no—
305#13063300C2311yescharacteristic
306#13063300C2311yescharacteristic
307#13063300C2311yescharacteristic
308#13063299—21no—
309#13063299—21no—
310#13063299—21no—
311#13063299—21no—
312#13063299C2311yescharacteristic
313#13063298—21no—
314#13063298D411yescharacteristic
315#13063296—21no—
316#13063296—21no—
317#13063296C2311yescharacteristic
318#13063296C2311yescharacteristic
319#13063295—21no—
320#13063295—21no—
321Q8×Dic43C2311yescharacteristic
322Q8×Dic43C2311yescharacteristic
323Q8×Dic43C2311yescharacteristic
324Q8×Dic43C2311yescharacteristic
325C4×Dic86—21no—
326C4×Dic86—21no—
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329#13063290—21no—
330#13063290—21no—
331#13063290C2311yescharacteristic
332C4×D172—21no—
333C4×D172—21no—
334C4×D172—21no—
335C4×D172—21no—
336C4×D172—21no—
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341C4×D172C2311yescharacteristic
342C4×D172C2311yescharacteristic
343#13063287—21no—
344#13063287—21no—
345#13063287—21no—
346#13063287—21no—
347#13063287—21no—
348#13063287—21no—
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43C2311yescharacteristic
358C4×C22⋊D43C2311yescharacteristic
359#13063284—21no—
360#13063284—21no—
361#13063284—21no—
362#13063284C2311yescharacteristic
363#13063283—21no—
364#13063283—21no—
365#13063283—21no—
366#13063283—21no—
367#13063283—21no—
368#13063283C2311yescharacteristic
369#13063283C2311yescharacteristic
370#13063283C2311yescharacteristic
371#13063282—21no—
372#13063282—21no—
373#13063282—21no—
374#13063282C2311yescharacteristic
375C4⋊C4×D43—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43—21no—
378C4⋊C4×D43C2311yescharacteristic
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C42×D43—21no—
384C42×D43—21no—
385C42×D43C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063235C2311yescharacteristic
433C4×C43⋊C8C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×Q16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C4⋊Q8×C43C2311yescharacteristic
444#126×C43—21no—
445#126×C43—21no—
446#125×C43—21no—
447#125×C43—21no—
448#125×C43C2311yescharacteristic
449C22⋊Q8×C43C2311yescharacteristic
450C22⋊Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43—21no—
456C4×D4×C43—21no—
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#117×C43—21no—
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43—21no—
462C2×C4⋊C4×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482#41×C43—22no—
483#41×C43—41no—
484C2×Q8×C43C2411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43—21no—
488C2×D4×C43C2411yescharacteristic
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43C2411yescharacteristic
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43C2×D411yescharacteristic
500C2×C22⋊D43C2×D411yescharacteristic
501#10621902—22no—
502#10621902—22no—
503#10621902—22no—
504#10621902—41no—
505#10621902—41no—
506#10621902—41no—
507Q8×D43—22no—
508Q8×D43—41no—
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—41no—
518C2×D172C2×D411yescharacteristic
519C2×D172C2411yescharacteristic
520C2×D172C2411yescharacteristic
521C2×D172C2411yescharacteristic
522C2×C4×D43—21no—
523C2×C4×D43—21no—
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×D43C2×D411yescharacteristic
536C2×C4×D43C2×D411yescharacteristic
537C2×C4×D43C2411yescharacteristic
538C2×C4×D43C2411yescharacteristic
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86C2×D411yescharacteristic
543C2×Dic86C2411yescharacteristic
544Q16×C43—22no—
545Q16×C43—22no—
546SD16×C43—41no—
547SD16×C43—41no—
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C2×C8×C43C2411yescharacteristic
551C2×C8×C43C2411yescharacteristic
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
564C4⋊C4×C43C2×D411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43C2×D411yescharacteristic
574C22⋊C4×C43C2×D411yescharacteristic
575C42×C43—21no—
576C42×C43—21no—
577C42×C43—21no—
578C42×C43—21no—
579C42×C43C2411yescharacteristic
580C42×C43C2411yescharacteristic
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43C2×D411yescharacteristic
588C22⋊Dic43C2×D411yescharacteristic
589#10621885—22no—
590#10621885—41no—
591#10621884—22no—
592#10621884—22no—
593#10621884—41no—
594#10621884#4114yes—
595#10621882—22no—
596#10621882—22no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
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)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626(C2×D43)⋊C4C2×D411yescharacteristic
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43—21no—
636C4⋊Dic43C2×D411yescharacteristic
637C4⋊Dic43C2×D411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658C4×Dic43—21no—
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×Dic43—21no—
668C4×Dic43C2×D411yescharacteristic
669C4×Dic43C2×D411yescharacteristic
670C4×Dic43C2411yescharacteristic
671C4×Dic43C2411yescharacteristic
672#10621877—22no—
673C2×C43⋊C8—41no—
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678D344—22no—
679D344—41no—
680#10621873—22no—
681#10621873—41no—
682#10621872—22no—
683C8×D43—22no—
684C8×D43—41no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43C22×D411yescharacteristic
688C22×D43—21no—
689C22×D43—21no—
690C22×D43—21no—
691C22×D43—42no—
692C22×D43—81no—
693C22×D43—81no—
694C22×D43C22×D411yescharacteristic
695C22×D43C22×D411yescharacteristic
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—21no—
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43C2×#4112yes—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—42no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
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—42no—
715C2×C4×C43—81no—
716C2×C4×C43—81no—
717C2×C4×C43—81no—
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C2511yescharacteristic
724C22⋊D43—41no—
725C22⋊D43—41no—
726C22⋊D43—81no—
727C22⋊D43—81no—
728C22⋊D43—81no—
729C22⋊D43—81no—
730C22⋊D43—81no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43C22×D411yescharacteristic
737C2×Dic43C22×D411yescharacteristic
738C2×Dic43C22×D411yescharacteristic
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742D172—21no—
743D172—21no—
744D172—21no—
745D172—21no—
746D172—21no—
747D172—41no—
748D172—42no—
749D172—42no—
750D172—42no—
751D172—42no—
752D172—81no—
753D172—81no—
754D172—81no—
755D172C2×#4112yes—
756C4×D43—21no—
757C4×D43—21no—
758C4×D43—21no—
759C4×D43—21no—
760C4×D43—41no—
761C4×D43—41no—
762C4×D43—42no—
763C4×D43—42no—
764C4×D43—42no—
765C4×D43—42no—
766C4×D43—81no—
767C4×D43—81no—
768C4×D43—81no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775Dic86—21no—
776Dic86—21no—
777Dic86—41no—
778Dic86—42no—
779Dic86—81no—
780Dic86—81no—
781C8×C43—21no—
782C8×C43—21no—
783C8×C43—21no—
784C8×C43—21no—
785C43⋊C8—21no—
786C43⋊C8—21no—
787C43⋊C8—21no—
788C43⋊C8C2×#4112yes—
789#61500—431nomaximal, Sylow
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—41no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43C23×D411yescharacteristic
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—21no—
800C2×D43—21no—
801C2×D43—22no—
802C2×D43—21no—
803C2×D43—21no—
804C2×D43—41no—
805C2×D43—41no—
806C2×D43—41no—
807C2×D43—41no—
808C2×D43—41no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—162no—
813C4×C43—21no—
814C4×C43—21no—
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—22no—
818C4×C43—21no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43—41no—
824C4×C43—41no—
825C4×C43C22×#4111yescharacteristic
826C4×C43#58511yescharacteristic
827Dic43—21no—
828Dic43—21no—
829Dic43—21no—
830Dic43—21no—
831Dic43—21no—
832Dic43—21no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43—41no—
838#3524—431no—
839#3521—431no—
840#3401—431no—
841#3388—431no—
842#3364—431no—
843#3361—431no—
844#3351—431no—
845#3349—431no—
846#3347—431no—
847#3304—431no—
848#3303—431no—
849#3301—431no—
850#3300—431no—
851#3297—431no—
852#3296—431no—
853#3275—431no—
854#3269—431no—
855#3268—431no—
856#3179—431no—
857#3178—431no—
858#3168—431no—
859#3121—431no—
860#3120D4311yescharacteristic, complemented
861#3119—431no—
862#3118—431no—
863#3111—431no—
864#3111—431no—
865#2966—431no—
866#2947—431no—
867#2946—431no—
868C4×#135—431no—
869C2×C43—41no—
870C2×C43—81no—
871C2×C43D4×#4111yescharacteristic
872C2×C43#358411yescharacteristic
873C2×C43#358411yescharacteristic
874D43—41no—
875D43—41no—
876D43—42no—
877D43—81no—
878D43—81no—
879C2×#137—431no—
880C2×AGL(1,ℤ/8)—431no—
881C2×#135—431no—
882#559—431no—
883#559—861no—
884#557—431no—
885#556—431no—
886#556—431no—
887#555—431no—
888#555—861no—
889#554—431no—
890#553—431no—
891#553—431no—
892#553—861no—
893#553—861no—
894#552—431no—
895#552—431no—
896#552—861no—
897#552—861no—
898#551—861no—
899#551—861no—
900#550—431no—
901#548—431no—
902#548—431no—
903#547—431no—
904#546—431no—
905#546—431no—
906#542—431no—
907#542—431no—
908#542—861no—
909#541C2×D4311yescharacteristic
910#540—431no—
911#540—861no—
912#539—861no—
913#538—861no—
914#529—431no—
915#529—431no—
916#529—431no—
917#529—861no—
918#529—861no—
919#529—861no—
920C2×#126—861no—
921#520—431no—
922#520C2×D4311yescharacteristic
923#519—431no—
924#518—431no—
925C4×#41—431no—
926C4×#41—431no—
927#501—431no—
928#501—431no—
929#499—431no—
930#497—431no—
931#496—431no—
932#495—431no—
933#488—431no—
934#488—431no—
935#488—431no—
936#488—431no—
937#487—431no—
938#486—431no—
939#485—431no—
940#485—431no—
941#485—431no—
942#485—431no—
943#484C2×D4311yescharacteristic
944#483C2×D4311yescharacteristic
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#481—431no—
950#480—431no—
951#479—431no—
952#479—431no—
953#479—431no—
954#479C2×D4311yescharacteristic, complemented
955#478—431no—
956#478—431no—
957#478—431no—
958#478C2×D4311yescharacteristic, complemented
959#477—431no—
960#476—431no—
961#475—431no—
962#474—431no—
963#470—431no—
964#469—431no—
965#468—431no—
966#468—431no—
967#467—431no—
968#467—431no—
969#466—431no—
970#466—431no—
971#465—431no—
972#465—431no—
973#465—431no—
974#465—431no—
975#464—431no—
976#464—431no—
977#464—431no—
978#464—431no—
979#463—431no—
980#463—431no—
981#463—431no—
982#463—431no—
983#462C2×D4311yescharacteristic, complemented
984#461C2×D4311yescharacteristic, complemented
985#460—431no—
986#459—431no—
987#452—431no—
988#452—431no—
989#452C2×D4311yescharacteristic
990#452C2×D4311yescharacteristic
991#451—431no—
992#450—431no—
993#449—431no—
994#449—431no—
995#449—431no—
996#449—431no—
997#448—431no—
998#447—431no—
999#446—431no—
1000C8×Q8—431no—
1001#442—431no—
1002#442—431no—
1003#442—431no—
1004#441—431no—
1005#441—431no—
1006#441C2×D4311yescharacteristic, complemented
1007#440—431no—
1008#440—431no—
1009#440—431no—
1010#440—431no—
1011#440—431no—
1012#440C2×D4311yescharacteristic, complemented
1013C4×Q16—431no—
1014C4×Q16—431no—
1015C4×Q16—431no—
1016C4×Q16C2×D4311yescharacteristic, complemented
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16—431no—
1020C4×SD16—431no—
1021C4×SD16—431no—
1022C4×SD16—431no—
1023C4×SD16—431no—
1024C4×SD16C2×D4311yescharacteristic, complemented
1025C4×D8—431no—
1026C4×D8—431no—
1027C4×D8—431no—
1028C4×D8—431no—
1029#436—431no—
1030#435—431no—
1031#435—431no—
1032C8×D4—431no—
1033C8×D4—431no—
1034C8×D4—431no—
1035#433—431no—
1036#433C2×D4311yescharacteristic
1037#432—431no—
1038#428—431no—
1039#428—431no—
1040#427—431no—
1041#416—431no—
1042#416—431no—
1043#416—431no—
1044#416—431no—
1045C2×#103—431no—
1046C2×#102—431no—
1047#405—431no—
1048#405—431no—
1049C2×C4×C8—431no—
1050C43#6150011yescharacteristic, complemented, Sylow
1051C2×#41—431no—
1052C2×#41—431no—
1053C2×#41—431no—
1054C2×#41C22×D4311yescharacteristic
1055C22×Q8—431no—
1056C22×D4—431no—
1057#137—864no—
1058AGL(1,ℤ/8)—864no—
1059#135—864no—
1060C2×Q16—431no—
1061C2×Q16—431no—
1062C2×Q16C22×D4311yescharacteristic
1063C2×Q16C22×D4311yescharacteristic
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—431no—
1068C2×SD16—431no—
1069C2×SD16—431no—
1070C2×SD16C22×D4311yescharacteristic
1071C2×SD16C22×D4311yescharacteristic
1072C2×D8—431no—
1073C2×D8—431no—
1074C2×D8—431no—
1075C2×D8—431no—
1076C2×M16—431no—
1077C2×M16—431no—
1078C22×C8—431no—
1079C22×C8—431no—
1080C22×C8—431no—
1081C22×C8—431no—
1082C4⋊Q8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—861no—
1085C4⋊Q8C22×D4311yescharacteristic
1086#127—431no—
1087#127—861no—
1088#126—21no—
1089#126—21no—
1090#126—431no—
1091#126—431no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#125—21no—
1105#125—21no—
1106#125—431no—
1107#125—431no—
1108#125—431no—
1109#125—431no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125—861no—
1114#125C22×D4311yescharacteristic
1115#124—431no—
1116#124—431no—
1117#124—431no—
1118#124—431no—
1119#124—431no—
1120#124—861no—
1121#124—861no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#123—431no—
1129#123—431no—
1130#123—861no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
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—
1146C22⋊Q8—431no—
1147C22⋊Q8—431no—
1148C22⋊Q8—431no—
1149C22⋊Q8—431no—
1150C22⋊Q8—431no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8C22×D4311yescharacteristic
1160C22⋊Q8C22×D4311yescharacteristic
1161#121—431no—
1162#121—431no—
1163#121—431no—
1164#121—431no—
1165#121—431no—
1166#121—431no—
1167#121—431no—
1168#121—861no—
1169#121—861no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121—861no—
1180#120—861no—
1181#120—861no—
1182C4×Q8—431no—
1183C4×Q8—431no—
1184C4×Q8—431no—
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—861no—
1190C4×Q8—861no—
1191C4×Q8—861no—
1192C4×Q8—861no—
1193C4×Q8C22×D4311yescharacteristic
1194C4×Q8C22×D4311yescharacteristic
1195C4×Q8C22×D4311yescharacteristic
1196C4×Q8C22×D4311yescharacteristic
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
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×D4C22×D4311yescharacteristic
1227C4×D4C22×D4311yescharacteristic
1228#117—21no—
1229#117—431no—
1230#117—431no—
1231#117—431no—
1232#117—431no—
1233#117—431no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117C22×D4311yescharacteristic
1246C2×C4⋊C4—21no—
1247C2×C4⋊C4—431no—
1248C2×C4⋊C4—861no—
1249C2×C4⋊C4—861no—
1250C2×C4⋊C4—861no—
1251C2×C4⋊C4C22×D4311yescharacteristic
1252C2×C22⋊C4—861no—
1253C2×C22⋊C4—861no—
1254C2×C22⋊C4—861no—
1255C2×C22⋊C4—861no—
1256C2×C42—431no—
1257C2×C42—861no—
1258C2×C42—861no—
1259#107—431no—
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107C22×D4311yescharacteristic
1266#107C22×D4311yescharacteristic
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106C22×D4311yescharacteristic
1274#106C22×D4311yescharacteristic
1275C4⋊C8—431no—
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8—431no—
1279C4⋊C8C22×D4311yescharacteristic
1280C4⋊C8C22×D4311yescharacteristic
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103C22×D4311yescharacteristic
1292#103C22×D4311yescharacteristic
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#102—431no—
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102C22×D4311yescharacteristic
1312#102C22×D4311yescharacteristic
1313C22⋊C8—431no—
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8—431no—
1317C22⋊C8C22×D4311yescharacteristic
1318C22⋊C8C22×D4311yescharacteristic
1319#97—431no—
1320#97—431no—
1321#97—431no—
1322#97C22×D4311yescharacteristic
1323C4×C8—431no—
1324C4×C8—431no—
1325C4×C8—431no—
1326C4×C8—431no—
1327C4×C8—431no—
1328C4×C8C22×D4311yescharacteristic
1329C24—861no—
1330#41—22no—
1331#41—41no—
1332#41—862no—
1333#41—862no—
1334#41—862no—
1335#41—1721no—
1336#41—1721no—
1337#41—1721no—
1338C2×Q8—431no—
1339C2×Q8—431no—
1340C2×Q8—861no—
1341C2×Q8—861no—
1342C2×Q8—861no—
1343C2×Q8—862no—
1344C2×Q8—1721no—
1345C2×Q8C23×D4311yescharacteristic
1346C2×Q8C23×D4311yescharacteristic
1347C2×Q8C23×D4311yescharacteristic
1348C2×D4—21no—
1349C2×D4—431no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—431no—
1355C2×D4—862no—
1356C2×D4—861no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4—861no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—1721no—
1369C2×D4C23×D4311yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—431no—
1375C22×C4—431no—
1376C22×C4—431no—
1377C22×C4—431no—
1378C22×C4—861no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4—861no—
1384C22×C4—861no—
1385C22×C4—861no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4C23×D4311yescharacteristic
1392Q16—22no—
1393Q16—22no—
1394Q16—862no—
1395Q16—1721no—
1396SD16—41no—
1397SD16—41no—
1398SD16—434no—
1399SD16—862no—
1400SD16—862no—
1401SD16—862no—
1402SD16—1721no—
1403SD16—1721no—
1404D8—862no—
1405D8—862no—
1406D8—862no—
1407D8—1721no—
1408M16—862no—
1409M16—862no—
1410C2×C8—431no—
1411C2×C8—431no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—862no—
1415C2×C8—1721no—
1416C2×C8—1721no—
1417C2×C8—1721no—
1418C2×C8C23×D4311yescharacteristic
1419C2×C8C23×D4311yescharacteristic
1420C2×C8C23×D4311yescharacteristic
1421C2×C8C23×D4311yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—431no—
1434C4⋊C4—431no—
1435C4⋊C4—431no—
1436C4⋊C4—431no—
1437C4⋊C4—431no—
1438C4⋊C4—431no—
1439C4⋊C4—431no—
1440C4⋊C4—431no—
1441C4⋊C4—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1465C4⋊C4D4×D4311yescharacteristic
1466C4⋊C4C23×D4311yescharacteristic
1467C4⋊C4C23×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—431no—
1475C22⋊C4—431no—
1476C22⋊C4—431no—
1477C22⋊C4—431no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1513C22⋊C4D4×D4311yescharacteristic
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—431no—
1519C42—431no—
1520C42—431no—
1521C42—431no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42C23×D4311yescharacteristic
1533C42C23×D4311yescharacteristic
1534C23—21no—
1535C23—431no—
1536C23—431no—
1537C23—861no—
1538C23—861no—
1539C23—861no—
1540C23—3441no—
1541C23—3441no—
1542C23—1722no—
1543C23C2×D4×D4311yescharacteristic
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—861no—
1550Q8—861no—
1551Q8—3441no—
1552Q8—3441no—
1553Q8—1721no—
1554Q8—1722no—
1555Q8#41×D4312yes—
1556D4—21no—
1557D4—21no—
1558D4—42no—
1559D4—432no—
1560D4—861no—
1561D4—861no—
1562D4—861no—
1563D4—861no—
1564D4—861no—
1565D4—3441no—
1566D4—3441no—
1567D4—3441no—
1568D4—3441no—
1569D4—3441no—
1570D4—3441no—
1571D4—3441no—
1572D4—3441no—
1573D4—1721no—
1574D4—1722no—
1575D4—1722no—
1576D4—1722no—
1577D4—1722no—
1578D4—1721no—
1579D4—1721no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—42no—
1590C2×C4—81no—
1591C2×C4—81no—
1592C2×C4—81no—
1593C2×C4—431no—
1594C2×C4—431no—
1595C2×C4—431no—
1596C2×C4—431no—
1597C2×C4—431no—
1598C2×C4—431no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—3441no—
1609C2×C4—3441no—
1610C2×C4—3441no—
1611C2×C4—3441no—
1612C2×C4—3441no—
1613C2×C4—3441no—
1614C2×C4—3441no—
1615C2×C4—3441no—
1616C2×C4—3441no—
1617C2×C4—1721no—
1618C2×C4—1721no—
1619C2×C4—1722no—
1620C2×C4—1722no—
1621C2×C4—1722no—
1622C2×C4—1722no—
1623C2×C4C2×D4×D4311yescharacteristic
1624C2×C4C2×D4×D4311yescharacteristic
1625C2×C4C2×D4×D4311yescharacteristic
1626C2×C4C2×D4×D4311yescharacteristic
1627C2×C4C2×D4×D4311yescharacteristic
1628C2×C4C24×D4311yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—432no—
1634C8—861no—
1635C8—861no—
1636C8—861no—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—861no—
1644C22—861no—
1645C22—862no—
1646C22—861no—
1647C22—861no—
1648C22—861no—
1649C22—861no—
1650C22—1721no—
1651C22—1721no—
1652C22—1721no—
1653C22—1721no—
1654C22—1721no—
1655C22—1721no—
1656C22—1721no—
1657C22—1721no—
1658C22—6882no—
1659C22C22×D4×D4311yescharacteristic
1660C4—21no—
1661C4—22no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—861no—
1673C4—861no—
1674C4—861no—
1675C4—861no—
1676C4—861no—
1677C4—861no—
1678C4—1721no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4C2×#41×D4311yescharacteristic
1684C4#1458373511yescharacteristic
1685C2—41no—
1686C2—81no—
1687C2—3441no—
1688C2—3441no—
1689C2—1721no—
1690C2—1721no—
1691C2—1722no—
1692C2#1914807811yescharacteristic
1693C2#1914936511yescharacteristic
1694C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3120C2
socleC22×C43C23×D4
hypercenter#3120D43
hypocenterC43#61500
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3120

Complements

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

NH ≅ G/Ntype
1. #19148696C2semidirect
2. #19148669C2semidirect
3. #19147668C2semidirect
4. #19147543C2semidirect
5. #19147284C2semidirect
6. #19147258C2semidirect
7. #19147158C2semidirect
8. #19147118C2semidirect
9. #19147092C2semidirect
10. #19146527C2semidirect
11. #19146526C2semidirect
12. #19146494C2semidirect
13. #19146475C2semidirect
14. #19146443C2semidirect
15. #19146428C2semidirect
16. #19146219C2semidirect
17. #19146145C2semidirect
18. #19146138C2semidirect
19. #19145276C2semidirect
20. #19145265C2semidirect
21. #19145161C2semidirect
22. #19144830C2semidirect
23. #19144800C2semidirect
24. #19144781C2semidirect
25. #19144710C2semidirect
26. #19144702C2semidirect
27. #19143568C2semidirect
28. #19143437C2semidirect
29. #19143423C2semidirect
30. C4×#13063348C2semidirect
31. C43×#3120C2semidirect
36. #14583632C22semidirect
37. #14583628C22semidirect
41. #14583614C22semidirect
54. #14583561C22semidirect
63. #14583500C22semidirect
69. #14583431C22semidirect
74. #14583375C22semidirect
77. C4×#10621902C22semidirect
78. #14583309C22semidirect
79. #14583307C22semidirect
80. #14583299C22semidirect
81. #14583291C22semidirect
84. #14583256C22semidirect
87. #14583252C22semidirect
88. #14583249C22semidirect
89. #14583244C22semidirect
90. #14583242C22semidirect
92. #14583238C22semidirect
93. #14583238C22semidirect
97. #14583221C22semidirect
98. #14583219C22semidirect
99. #14583211C22semidirect
100. #14583208C22semidirect
101. #14583208C22semidirect
102. #14583204C22semidirect
105. #14583198C22semidirect
106. #14583193C22semidirect
108. #14583182C22semidirect
112. #14583148C22semidirect
114. #14583139C22semidirect
120. #14583125C22semidirect
121. #14583125C22semidirect
125. #14583119C22semidirect
130. #14583097C22semidirect
133. #14583060C22semidirect
134. #14583053C22semidirect
142. #14583028C22semidirect
143. #14583023C22semidirect
147. #14583004C22semidirect
148. #14583003C22semidirect
153. #14582997C22semidirect
154. Q16×Dic43C22semidirect
155. Q16×Dic43C22semidirect
156. C4×#10621885C22semidirect
160. C4×#10621884C22semidirect
163. #14582984C22semidirect
170. #14582969C22semidirect
171. #14582964C22semidirect
174. #14582958C22semidirect
175. #14582954C22semidirect
177. #14582938C22semidirect
178. #14582936C22semidirect
182. #14582894C22semidirect
183. #103×D43C22semidirect
185. #14582856C22semidirect
187. C4×C8×D43C22semidirect
192. C43×#479C22semidirect
193. C43×#478C22semidirect
194. C43×#462C22semidirect
195. C43×#461C22semidirect
198. C43×#441C22semidirect
199. C43×#440C22semidirect
200. C4×Q16×C43C22semidirect
201. C4×SD16×C43C22semidirect
860. #3120D43semidirect
954. #479C2×D43semidirect
958. #478C2×D43semidirect
983. #462C2×D43semidirect
984. #461C2×D43semidirect
1006. #441C2×D43semidirect
1012. #440C2×D43semidirect
1016. C4×Q16C2×D43semidirect
1024. C4×SD16C2×D43semidirect
1050. C43#61500semidirect

Maximal subgroups

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

subgroupindex
#191486962
#191486692
#191476682
#191475432
#191472842
#191472582
#191471582
#191471182
#191470922
#191465272
#191465262
#191464942
#191464752
#191464432
#191464282
#191462192
#191461452
#191461382
#191452762
#191452652
#191451612
#191448302
#191448002
#191447812
#191447102
#191447022
#191435682
#191434372
#191434232
C4×#130633482
C43×#31202
#6150043