Finite Group Databasebeta

← #25979555

Subgroups — #25979555

Order 11008.

1936 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148676C211yesmaximal, characteristic, complemented
2#19148617C211yesmaximal, characteristic, complemented
3#19147632C211yesmaximal, characteristic, complemented
4#19147500C211yesmaximal, characteristic, complemented
5#19147265C211yesmaximal, characteristic, complemented
6#19147250C211yesmaximal, characteristic, complemented
7#19147219C211yesmaximal, characteristic, complemented
8#19147072C211yesmaximal, characteristic, complemented
9#19147068C211yesmaximal, characteristic, complemented
10#19146543C211yesmaximal, characteristic, complemented
11#19146504C211yesmaximal, characteristic, complemented
12#19146500C211yesmaximal, characteristic, complemented
13#19146412C211yesmaximal, characteristic, complemented
14#19146405C211yesmaximal, characteristic, complemented
15#19146401C211yesmaximal, characteristic, complemented
16#19146213C211yesmaximal, characteristic, complemented
17#19146096C211yesmaximal, characteristic, complemented
18#19146088C211yesmaximal, characteristic, complemented
19#19145276C211yesmaximal, characteristic, complemented
20#19145272C211yesmaximal, characteristic, complemented
21#19145171C211yesmaximal, characteristic, complemented
22#19144796C211yesmaximal, characteristic, complemented
23#19144790C211yesmaximal, characteristic, complemented
24#19144785C211yesmaximal, characteristic, complemented
25#19144715C211yesmaximal, characteristic, complemented
26#19144684C211yesmaximal, characteristic, complemented
27#19143568C211yesmaximal, characteristic, complemented
28#19143427C211yesmaximal, characteristic, complemented
29#19143424C211yesmaximal, characteristic, complemented
30C4×SD16×D43C211yesmaximal, characteristic, complemented
31C43×#3118C211yesmaximal, characteristic, complemented
32C2×#13063351C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×SD16×D43C2211yescharacteristic
35#14583633—21no—
36#14583631C2211yescharacteristic, complemented
37#14583629C2211yescharacteristic, complemented
38#14583612C2211yescharacteristic
39#14583608C2211yescharacteristic
40#14583607C2211yescharacteristic, complemented
41#14583603—21no—
42#14583599C2211yescharacteristic
43#14583598—21no—
44#14583593C2211yescharacteristic
45#14583570C2211yescharacteristic
46#14583567C2211yescharacteristic, complemented
47#14583559C2211yescharacteristic, complemented
48#14583557C2211yescharacteristic, complemented
49#14583552C2211yescharacteristic, complemented
50#14583551—21no—
51#14583549C2211yescharacteristic, complemented
52#14583547—21no—
53#14583545—21no—
54#14583539—21no—
55#14583539—21no—
56D4×D172C2211yescharacteristic
57D4×C22⋊D43C2211yescharacteristic
58D4×C22⋊D43C2211yescharacteristic
59#14583521C2211yescharacteristic, complemented
60#14583515—21no—
61#14583513—21no—
62#14583504C2211yescharacteristic
63#14583500C2211yescharacteristic
64#14583487—21no—
65#14583482—21no—
66#14583448—21no—
67#14583446C2211yescharacteristic
68#14583446C2211yescharacteristic, complemented
69#14583432—21no—
70#14583427C2211yescharacteristic
71#14583408—21no—
72C2×#13063298—21no—
73#14583379C2211yescharacteristic, complemented
74#14583378C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic
76C4×Q8×D43C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583303C2211yescharacteristic, complemented
81#14583289C2211yescharacteristic, complemented
82#14583285C2211yescharacteristic, complemented
83#14583274C2211yescharacteristic, complemented
84#14583255C2211yescharacteristic, complemented
85#14583253C2211yescharacteristic, complemented
86#14583247C2211yescharacteristic, complemented
87#14583244C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583244C2211yescharacteristic, complemented
90#14583239C2211yescharacteristic, complemented
91#14583225C2211yescharacteristic, complemented
92#14583219C2211yescharacteristic, complemented
93#14583218C2211yescharacteristic, complemented
94#14583216C2211yescharacteristic, complemented
95#14583216C2211yescharacteristic, complemented
96#14583214C2211yescharacteristic, complemented
97#14583214C2211yescharacteristic, complemented
98#14583213C2211yescharacteristic, complemented
99#14583211C2211yescharacteristic, complemented
100#14583207C2211yescharacteristic, complemented
101#14583205C2211yescharacteristic, complemented
102#14583201C2211yescharacteristic, complemented
103#14583200C2211yescharacteristic, complemented
104#14583193C2211yescharacteristic, complemented
105#14583192C2211yescharacteristic, complemented
106#14583188C2211yescharacteristic, complemented
107#14583188C2211yescharacteristic, complemented
108#14583187C2211yescharacteristic
109#14583177C2211yescharacteristic
110#14583151C2211yescharacteristic, complemented
111#14583150C2211yescharacteristic, complemented
112#14583148C2211yescharacteristic, complemented
113#14583147C2211yescharacteristic, complemented
114#14583136C2211yescharacteristic, complemented
115#14583136C2211yescharacteristic, complemented
116#14583134C2211yescharacteristic, complemented
117#14583134C2211yescharacteristic, complemented
118#14583133C2211yescharacteristic, complemented
119#14583132C2211yescharacteristic, complemented
120#14583130C2211yescharacteristic, complemented
121#14583125C2211yescharacteristic, complemented
122#14583117C2211yescharacteristic, complemented
123#14583116C2211yescharacteristic
124#14583100C2211yescharacteristic, complemented
125#14583098C2211yescharacteristic, complemented
126#14583098C2211yescharacteristic, complemented
127#14583097C2211yescharacteristic, complemented
128#14583095C2211yescharacteristic, complemented
129#14583093C2211yescharacteristic, complemented
130#14583092C2211yescharacteristic
131#14583092C2211yescharacteristic, complemented
132#14583048C2211yescharacteristic
133#14583046C2211yescharacteristic, complemented
134#14583046C2211yescharacteristic, complemented
135#14583045C2211yescharacteristic, complemented
136#14583041C2211yescharacteristic, complemented
137#14583039C2211yescharacteristic, complemented
138#14583036C2211yescharacteristic, complemented
139#14583034C2211yescharacteristic
140#14583034C2211yescharacteristic
141#14583031C2211yescharacteristic
142#14583028C2211yescharacteristic, complemented
143#14583023C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic, complemented
145#14583009C2211yescharacteristic
146#14583009C2211yescharacteristic, complemented
147#14583009C2211yescharacteristic, complemented
148#14583008C2211yescharacteristic, complemented
149#14583001C2211yescharacteristic, complemented
150#14582999C2211yescharacteristic
151#14582999C2211yescharacteristic, complemented
152#14582997C2211yescharacteristic, complemented
153#14582996C2211yescharacteristic
154#14582990C2211yescharacteristic
155C4×#10621873C2211yescharacteristic, complemented
156SD16×Dic43C2211yescharacteristic
157C4×#10621884C2211yescharacteristic, complemented
158#14582986C2211yescharacteristic, complemented
159#14582986C2211yescharacteristic, complemented
160C4×#10621883C2211yescharacteristic
161C4×#10621883C2211yescharacteristic, complemented
162#14582984C2211yescharacteristic, complemented
163C4×D344C2211yescharacteristic, complemented
164D8×Dic43C2211yescharacteristic
165C4×#10621882C2211yescharacteristic
166C4×#10621882C2211yescharacteristic, complemented
167C4×#10621882C2211yescharacteristic, complemented
168#14582974C2211yescharacteristic, complemented
169#14582973C2211yescharacteristic, complemented
170#14582969C2211yescharacteristic, complemented
171#14582964C2211yescharacteristic, complemented
172(C22⋊D43)⋊C8C2211yescharacteristic, complemented
173(C22⋊D43)⋊C8C2211yescharacteristic, complemented
174#14582958C2211yescharacteristic, complemented
175#14582954C2211yescharacteristic, complemented
176#14582942C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic, complemented
178#106×D43C2211yescharacteristic, complemented
179#14582893C2211yescharacteristic, complemented
180#14582892C2211yescharacteristic, complemented
181#103×D43C2211yescharacteristic, complemented
182C2×#13063246C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582856C2211yescharacteristic, complemented
186#14582855C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic, complemented
189C43×#518C2211yescharacteristic
190C43×#485C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#476C2211yescharacteristic, complemented
193C43×#474C2211yescharacteristic
194C43×#463C2211yescharacteristic
195C43×#463C2211yescharacteristic, complemented
196C43×#450C2211yescharacteristic
197C43×#447C2211yescharacteristic
198C43×#442C2211yescharacteristic
199C43×#440C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic
201C4×D8×C43C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621898—21no—
205C2×#10621898—21no—
206C2×#10621898—21no—
207C2×#10621898C2311yescharacteristic
208C2×#10621900—21no—
209C2×#10621900C2311yescharacteristic
210C2×Q8×D43C2311yescharacteristic
211C22×D172—21no—
212C22×C22⋊D43—21no—
213C22×C22⋊D43—21no—
214C2×D4×D43C2311yescharacteristic
215C2×D4×D43C2311yescharacteristic
216C22×C4×D43—21no—
217#13063351—24no—
218#13063349—24no—
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225SD16×D43—24no—
226C2×D344C2311yescharacteristic
227C2×D344C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621882C2311yescharacteristic
231C2×#10621882C2311yescharacteristic
232C2×#10621877C2311yescharacteristic
233C2×#10621872C2311yescharacteristic
234C22×C43⋊C8C2311yescharacteristic
235C2×C8×D43C2311yescharacteristic
236C2×C8×D43C2311yescharacteristic
237C2×C8×D43C2311yescharacteristic
238#13063324—21no—
239#13063324C2311yescharacteristic
240#13063324C2311yescharacteristic
241#13063324C2311yescharacteristic
242#13063323—21no—
243#13063323—21no—
244#13063322C2311yescharacteristic
245#13063321—21no—
246#13063321C2311yescharacteristic
247#13063321C2311yescharacteristic
248#13063321C2311yescharacteristic
249#13063320D411yescharacteristic
250#13063319—21no—
251#13063319—21no—
252#13063318—21no—
253#13063318D411yescharacteristic
254#13063317C2311yescharacteristic
255#13063316C2311yescharacteristic
256#13063315—21no—
257#13063315D411yescharacteristic
258#13063314C2311yescharacteristic
259#13063313—21no—
260#13063313—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063311—21no—
267#13063311D411yescharacteristic
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310D411yescharacteristic
274#13063309—21no—
275#13063308—21no—
276#13063308—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307D411yescharacteristic
282#13063306—21no—
283#13063305—21no—
284#13063304—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303D411yescharacteristic
288#13063302—21no—
289#13063302—21no—
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063301—21no—
294#13063301C2311yescharacteristic
295#13063300C2311yescharacteristic
296#13063300C2311yescharacteristic
297#13063300C2311yescharacteristic
298#13063300C2311yescharacteristic
299#13063299—21no—
300#13063299—21no—
301#13063299—21no—
302#13063299C2311yescharacteristic
303#13063299C2311yescharacteristic
304#13063298—21no—
305#13063298—21no—
306#13063298—21no—
307#13063298—21no—
308#13063298—21no—
309#13063298—21no—
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063298—21no—
317#13063298D411yescharacteristic
318#13063297—21no—
319#13063297—21no—
320#13063297—21no—
321#13063296C2311yescharacteristic
322#13063296C2311yescharacteristic
323#13063296C2311yescharacteristic
324#13063295—21no—
325#13063295—21no—
326#13063294—21no—
327#13063294—21no—
328#13063293—21no—
329#13063293—21no—
330Q8×Dic43C2311yescharacteristic
331C4×Dic86—21no—
332C4×Dic86C2311yescharacteristic
333C4×Dic86C2311yescharacteristic
334C4×Dic86C2311yescharacteristic
335#13063290—21no—
336#13063290—21no—
337#13063290C2311yescharacteristic
338#13063290C2311yescharacteristic
339C4×D172—21no—
340C4×D172C2311yescharacteristic
341C4×D172C2311yescharacteristic
342C4×D172C2311yescharacteristic
343C4×D172C2311yescharacteristic
344C4×D172C2311yescharacteristic
345D4×Dic43C2311yescharacteristic
346D4×Dic43C2311yescharacteristic
347D4×Dic43C2311yescharacteristic
348#13063287—21no—
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351C4×C22⋊D43—21no—
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(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366(C22⋊D43)⋊C4—21no—
367(C22⋊D43)⋊C4—21no—
368#13063283—21no—
369#13063283C2311yescharacteristic
370#13063282—21no—
371#13063282C2311yescharacteristic
372#13063281—21no—
373C2×C4⋊Dic43C2311yescharacteristic
374C2×Dic43⋊C4—21no—
375C2×Dic43⋊C4—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43—21no—
378C4⋊C4×D43C2311yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C4⋊C4×D43C2311yescharacteristic
381C2×(C2×D43)⋊C4—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×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#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
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
438C22×D4×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C4⋊Q8×C43C2311yescharacteristic
444#126×C43—21no—
445#124×C43—21no—
446#124×C43C2311yescharacteristic
447#123×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×D4×C43—21no—
453C4×D4×C43—21no—
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461C2×C22⋊C4×C43—21no—
462C2×C22⋊C4×C43—21no—
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#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C24×C43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C2×Q8×C43—21no—
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—22no—
489C2×D4×C43—41no—
490C2×D4×C43C2411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43C2411yescharacteristic
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—82no—
515C2×C22⋊D43—82no—
516C2×C22⋊D43C2×D411yescharacteristic
517C2×C22⋊D43C2×D411yescharacteristic
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43—21no—
523#10621902—82no—
524Q8×D43—22no—
525Q8×D43—41no—
526#10621900—22no—
527#10621900—41no—
528#10621900—82no—
529D4×D43—22no—
530D4×D43—22no—
531D4×D43—41no—
532D4×D43—41no—
533#10621898—22no—
534#10621898—41no—
535#10621898—82no—
536#10621898—82no—
537#10621898—82no—
538C2×D172—21no—
539C2×D172—21no—
540C2×D172—21no—
541C2×D172—21no—
542C2×D172—21no—
543C2×D172—21no—
544C2×D172—82no—
545C2×D172C2×D411yescharacteristic
546C2×D172C2411yescharacteristic
547C2×D172C2411yescharacteristic
548C2×D172C2411yescharacteristic
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43—82no—
561C2×C4×D43C2×D411yescharacteristic
562C2×C4×D43C2×D411yescharacteristic
563C2×C4×D43C2411yescharacteristic
564C2×C4×D43C2411yescharacteristic
565C2×Dic86—21no—
566C2×Dic86—21no—
567C2×Dic86—21no—
568C2×Dic86—21no—
569C2×Dic86C2×D411yescharacteristic
570C2×Dic86C2411yescharacteristic
571SD16×C43—22no—
572SD16×C43—41no—
573D8×C43—22no—
574D8×C43—41no—
575C2×C8×C43C2411yescharacteristic
576C2×C8×C43C2411yescharacteristic
577C2×C8×C43C2411yescharacteristic
578C2×C8×C43C2411yescharacteristic
579C4⋊C4×C43—21no—
580C4⋊C4×C43—21no—
581C4⋊C4×C43—21no—
582C4⋊C4×C43C2×D411yescharacteristic
583C4⋊C4×C43C2×D411yescharacteristic
584C4⋊C4×C43C2411yescharacteristic
585C4⋊C4×C43C2411yescharacteristic
586C4⋊C4×C43C2411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C22⋊C4×C43—21no—
597C22⋊C4×C43—21no—
598C22⋊C4×C43C2×D411yescharacteristic
599C22⋊C4×C43C2×D411yescharacteristic
600C42×C43—21no—
601C42×C43—21no—
602C42×C43C2411yescharacteristic
603C42×C43C2411yescharacteristic
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43—21no—
610C22⋊Dic43C2×D411yescharacteristic
611C22⋊Dic43C2×D411yescharacteristic
612#10621884—22no—
613#10621884—41no—
614#10621883—22no—
615#10621883#4114yescomplemented
616#10621882—22no—
617#10621882—22no—
618#10621882—22no—
619#10621882—41no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4C2×D411yescharacteristic
637(C2×D43)⋊C4C2×D411yescharacteristic
638(C2×D43)⋊C4C2×D411yescharacteristic
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641(C2×D43)⋊C4C2×D411yescharacteristic
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43C2×D411yescharacteristic
646C4⋊Dic43C2×D411yescharacteristic
647C4⋊Dic43C2411yescharacteristic
648C4⋊Dic43C2411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43C2×D411yescharacteristic
678C4×Dic43C2×D411yescharacteristic
679C4×Dic43C2411yescharacteristic
680C4×Dic43C2411yescharacteristic
681#10621877—22no—
682C2×C43⋊C8—41no—
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687D344—41no—
688D344—41no—
689#10621873—22no—
690#10621873—22no—
691#10621872—22no—
692C8×D43—22no—
693C8×D43—41no—
694C8×D43—41no—
695C23×C43—21no—
696C23×C43—21no—
697C23×C43—21no—
698C23×C43—42no—
699C23×C43—81no—
700C23×C43—81no—
701C23×C43C22×D411yescharacteristic
702C22×D43—21no—
703C22×D43—21no—
704C22×D43—21no—
705C22×D43—42no—
706C22×D43—42no—
707C22×D43—42no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43—81no—
711C22×D43C22×D411yescharacteristic
712C22×D43C22×D411yescharacteristic
713Q8×C43—21no—
714Q8×C43—21no—
715Q8×C43—81no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—21no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—42no—
722D4×C43—81no—
723D4×C43C2×#4112yes—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—81no—
732C2×C4×C43—81no—
733C2×C4×C43—81no—
734C2×C4×C43—81no—
735C2×C4×C43—81no—
736C2×C4×C43C22×D411yescharacteristic
737C2×C4×C43C22×D411yescharacteristic
738C2×C4×C43C22×D411yescharacteristic
739C2×C4×C43C22×D411yescharacteristic
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C2511yescharacteristic
742C22⋊D43—22no—
743C22⋊D43—22no—
744C22⋊D43—42no—
745C22⋊D43—42no—
746C22⋊D43—42no—
747C22⋊D43—42no—
748C22⋊D43—42no—
749C22⋊D43—42no—
750C22⋊D43—42no—
751C22⋊D43—42no—
752C22⋊D43—81no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—42no—
765C2×Dic43—42no—
766C2×Dic43—81no—
767C2×Dic43—81no—
768C2×Dic43—81no—
769C2×Dic43C22×D411yescharacteristic
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775D172—22no—
776D172—21no—
777D172—21no—
778D172—21no—
779D172—21no—
780D172—21no—
781D172—21no—
782D172—42no—
783D172—42no—
784D172—81no—
785D172—81no—
786D172—81no—
787D172—81no—
788C4×D43—22no—
789C4×D43—21no—
790C4×D43—21no—
791C4×D43—21no—
792C4×D43—21no—
793C4×D43—22no—
794C4×D43—42no—
795C4×D43—42no—
796C4×D43—42no—
797C4×D43—42no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802C4×D43—81no—
803C4×D43—81no—
804C4×D43—81no—
805Dic86—21no—
806Dic86—22no—
807Dic86—42no—
808Dic86—81no—
809Dic86—81no—
810Dic86—81no—
811Dic86C2×#4112yes—
812C8×C43—21no—
813C8×C43—21no—
814C8×C43—21no—
815C8×C43—21no—
816C43⋊C8—21no—
817C43⋊C8—21no—
818C43⋊C8—21no—
819C43⋊C8C2×#4112yes—
820#61498—431nomaximal, Sylow
821C22×C43—22no—
822C22×C43—21no—
823C22×C43—21no—
824C22×C43—21no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43—162no—
834C22×C43C23×D411yescharacteristic
835C2×D43—21no—
836C2×D43—21no—
837C2×D43—21no—
838C2×D43—21no—
839C2×D43—21no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—41no—
849C2×D43—84no—
850C2×D43—162no—
851C2×D43#57612yes—
852C4×C43—21no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—21no—
857C4×C43—41no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43—41no—
861C4×C43—41no—
862C4×C43C22×#4111yescharacteristic
863C4×C43#58511yescharacteristic
864Dic43—22no—
865Dic43—21no—
866Dic43—21no—
867Dic43—21no—
868Dic43—21no—
869Dic43—21no—
870Dic43—41no—
871Dic43—41no—
872Dic43—41no—
873Dic43—41no—
874Dic43#57712yes—
875#3522—431no—
876#3519—431no—
877#3399—431no—
878#3385—431no—
879#3362—431no—
880#3361—431no—
881#3357—431no—
882#3345—431no—
883#3345—431no—
884#3305—431no—
885#3301—431no—
886#3301—431no—
887#3295—431no—
888#3294—431no—
889#3294—431no—
890#3274—431no—
891#3265—431no—
892#3265—431no—
893#3179—431no—
894#3179—431no—
895#3169—431no—
896#3119—431no—
897#3119—431no—
898#3118—431no—
899#3118D4311yescharacteristic, complemented
900#3112—431no—
901#3109—431no—
902#2966—431no—
903#2946—431no—
904#2946—431no—
905C2×C4×SD16—431no—
906C2×C43—42no—
907C2×C43—41no—
908C2×C43—81no—
909C2×C43—81no—
910C2×C43D4×#4111yescharacteristic
911C2×C43C2×#57611yescharacteristic
912C2×C43C2×#57711yescharacteristic
913D43—22no—
914D43—41no—
915D43—81no—
916D43—81no—
917D43—81no—
918C2×AGL(1,ℤ/8)—431no—
919C2×AGL(1,ℤ/8)—431no—
920C22×SD16—431no—
921#559—431no—
922#559—861no—
923Q82—431no—
924#555—431no—
925#554—431no—
926#554—431no—
927#554—861no—
928#553—431no—
929#553—431no—
930#553—861no—
931#550—431no—
932#550—431no—
933#548—431no—
934#548—431no—
935#547—431no—
936#547—431no—
937#547—861no—
938#547—861no—
939#546—861no—
940#546—861no—
941#546—861no—
942D42—431no—
943D42—431no—
944D42—431no—
945#542—431no—
946#542—861no—
947#542—861no—
948#542C2×D4311yescharacteristic, complemented
949#540—431no—
950#540—431no—
951#538—861no—
952#538—861no—
953#532—431no—
954#532—431no—
955#532—861no—
956#529—431no—
957#529—861no—
958#525—861no—
959C2×#121—861no—
960#520—431no—
961#520—431no—
962#518—431no—
963#518C2×D4311yescharacteristic
964C2×C4×Q8—431no—
965C2×C4×D4—431no—
966#501—431no—
967#501—431no—
968#500—431no—
969#496—431no—
970#496—431no—
971#493—431no—
972#488—431no—
973#488—431no—
974#486—431no—
975#486—431no—
976#486—431no—
977#486—431no—
978#485—431no—
979#485C2×D4311yescharacteristic, complemented
980#482—431no—
981#482C2×D4311yescharacteristic, complemented
982#481—431no—
983#481—431no—
984#481—431no—
985#481—431no—
986#480—431no—
987#480—431no—
988#480—431no—
989#480—431no—
990#479—431no—
991#479—431no—
992#478—431no—
993#478—431no—
994#477—431no—
995#477—431no—
996#476—431no—
997#476—431no—
998#476—431no—
999#476C2×D4311yescharacteristic, complemented
1000#474—431no—
1001#474C2×D4311yescharacteristic
1002#469—431no—
1003#469—431no—
1004#468—431no—
1005#468—431no—
1006#466—431no—
1007#466—431no—
1008#466—431no—
1009#466—431no—
1010#466—431no—
1011#466—431no—
1012#465—431no—
1013#465—431no—
1014#463—431no—
1015#463—431no—
1016#463C2×D4311yescharacteristic
1017#463C2×D4311yescharacteristic, complemented
1018#460—431no—
1019#460—431no—
1020#460—431no—
1021#460—431no—
1022#459—431no—
1023#459—431no—
1024#459—431no—
1025#459—431no—
1026#450—431no—
1027#450C2×D4311yescharacteristic
1028#449—431no—
1029#449—431no—
1030#449—431no—
1031#449—431no—
1032#448—431no—
1033#448—431no—
1034#447—431no—
1035#447—431no—
1036#447—431no—
1037#447C2×D4311yescharacteristic
1038#446—431no—
1039C8×Q8—431no—
1040#442—431no—
1041#442—431no—
1042#442—431no—
1043#442—431no—
1044#442—431no—
1045#442C2×D4311yescharacteristic
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050#440—431no—
1051#440C2×D4311yescharacteristic, complemented
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16—431no—
1056C4×SD16—431no—
1057C4×SD16—431no—
1058C4×SD16—431no—
1059C4×SD16—431no—
1060C4×SD16—431no—
1061C4×SD16C2×D4311yescharacteristic
1062C4×D8—431no—
1063C4×D8—431no—
1064C4×D8—431no—
1065C4×D8—431no—
1066C4×D8—431no—
1067C4×D8C2×D4311yescharacteristic, complemented
1068#436—431no—
1069#435—431no—
1070#435—431no—
1071C8×D4—431no—
1072C8×D4—431no—
1073C8×D4—431no—
1074#433—431no—
1075#433C2×D4311yescharacteristic, complemented
1076#432—431no—
1077#428—431no—
1078#428—431no—
1079C2×#106—431no—
1080#416—431no—
1081#416—431no—
1082C2×#103—431no—
1083C2×#102—431no—
1084C2×#102—431no—
1085C2×#102—431no—
1086#405—431no—
1087#405—431no—
1088C2×C4×C8—431no—
1089C43#6149811yescharacteristic, complemented, Sylow
1090C2×#41—431no—
1091C2×#41—431no—
1092C2×#41—861no—
1093C2×#41—861no—
1094C2×#41—861no—
1095C2×#41—861no—
1096C2×#41—861no—
1097C22×Q8—431no—
1098C22×D4—431no—
1099C22×D4—431no—
1100C22×D4—861no—
1101C22×D4—861no—
1102C22×D4—861no—
1103C22×D4C22×D4311yescharacteristic
1104C23×C4—861no—
1105AGL(1,ℤ/8)—864no—
1106AGL(1,ℤ/8)—864no—
1107C2×SD16—431no—
1108C2×SD16—431no—
1109C2×SD16—431no—
1110C2×SD16—431no—
1111C2×SD16—431no—
1112C2×SD16—431no—
1113C2×SD16—864no—
1114C2×SD16C22×D4311yescharacteristic
1115C2×SD16C22×D4311yescharacteristic
1116C2×D8—431no—
1117C2×D8—431no—
1118C2×D8—431no—
1119C2×D8—431no—
1120C2×D8—431no—
1121C2×D8—431no—
1122C2×D8C22×D4311yescharacteristic
1123C2×D8C22×D4311yescharacteristic
1124C2×M16—431no—
1125C2×M16—431no—
1126C22×C8—431no—
1127C22×C8—431no—
1128C22×C8—431no—
1129C22×C8—431no—
1130C4⋊Q8—431no—
1131C4⋊Q8—431no—
1132C4⋊Q8—431no—
1133C4⋊Q8—861no—
1134C4⋊Q8—861no—
1135C4⋊Q8—861no—
1136C4⋊Q8C22×D4311yescharacteristic
1137#127—431no—
1138#127—431no—
1139#127—431no—
1140#127—431no—
1141#127—861no—
1142#126—21no—
1143#126—431no—
1144#126—431no—
1145#126—861no—
1146#126—861no—
1147#126—861no—
1148#125—431no—
1149#125—431no—
1150#125—431no—
1151#125—861no—
1152#124—21no—
1153#124—431no—
1154#124—431no—
1155#124—861no—
1156#124—861no—
1157#124—861no—
1158#124—861no—
1159#124—861no—
1160#124—861no—
1161#124—861no—
1162#124—861no—
1163#124C22×D4311yescharacteristic
1164#123—21no—
1165#123—431no—
1166#123—431no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173#123—861no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177#123—861no—
1178#123—861no—
1179#123—861no—
1180C22⋊Q8—21no—
1181C22⋊Q8—431no—
1182C22⋊Q8—431no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8—861no—
1191C22⋊Q8—861no—
1192C22⋊Q8—861no—
1193C22⋊Q8C22×D4311yescharacteristic
1194#121—431no—
1195#121—431no—
1196#121—431no—
1197#121—431no—
1198#121—431no—
1199#121—431no—
1200#121—431no—
1201#121—431no—
1202#121—431no—
1203#121—431no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121—861no—
1213#121—861no—
1214#121—861no—
1215#121—861no—
1216#121—861no—
1217#121—861no—
1218#121—861no—
1219#121—861no—
1220#121—861no—
1221#121—861no—
1222#121—861no—
1223#121C22×D4311yescharacteristic
1224#120—861no—
1225#120—861no—
1226#120—861no—
1227#120—861no—
1228#120—861no—
1229#120—861no—
1230C4×Q8—431no—
1231C4×Q8—431no—
1232C4×Q8—431no—
1233C4×Q8—431no—
1234C4×Q8—431no—
1235C4×Q8—431no—
1236C4×Q8—861no—
1237C4×Q8—861no—
1238C4×Q8—861no—
1239C4×Q8C22×D4311yescharacteristic
1240C4×D4—21no—
1241C4×D4—21no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—431no—
1245C4×D4—431no—
1246C4×D4—431no—
1247C4×D4—431no—
1248C4×D4—431no—
1249C4×D4—431no—
1250C4×D4—431no—
1251C4×D4—431no—
1252C4×D4—431no—
1253C4×D4—431no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4—861no—
1263C4×D4—861no—
1264C4×D4—861no—
1265C4×D4—861no—
1266C4×D4—861no—
1267C4×D4—861no—
1268C4×D4—861no—
1269C4×D4—861no—
1270C4×D4—861no—
1271C4×D4C22×D4311yescharacteristic
1272C4×D4C22×D4311yescharacteristic
1273C4×D4C22×D4311yescharacteristic
1274C4×D4C22×D4311yescharacteristic
1275C4×D4C22×D4311yescharacteristic
1276#117—431no—
1277#117—431no—
1278#117—861no—
1279#117—861no—
1280#117—861no—
1281#117C22×D4311yescharacteristic
1282#117C22×D4311yescharacteristic
1283C2×C4⋊C4—431no—
1284C2×C4⋊C4—431no—
1285C2×C4⋊C4—431no—
1286C2×C4⋊C4—431no—
1287C2×C4⋊C4—861no—
1288C2×C4⋊C4—861no—
1289C2×C4⋊C4—861no—
1290C2×C4⋊C4—861no—
1291C2×C22⋊C4—21no—
1292C2×C22⋊C4—21no—
1293C2×C22⋊C4—861no—
1294C2×C22⋊C4—861no—
1295C2×C22⋊C4—861no—
1296C2×C42—431no—
1297C2×C42—861no—
1298#107—431no—
1299#107—431no—
1300#107—431no—
1301#107—431no—
1302#107—431no—
1303#107—431no—
1304#107C22×D4311yescharacteristic
1305#107C22×D4311yescharacteristic
1306#106—431no—
1307#106—431no—
1308#106—431no—
1309#106—431no—
1310#106—431no—
1311#106—431no—
1312#106C22×D4311yescharacteristic
1313#106C22×D4311yescharacteristic
1314C4⋊C8—431no—
1315C4⋊C8—431no—
1316C4⋊C8—431no—
1317C4⋊C8—431no—
1318C4⋊C8C22×D4311yescharacteristic
1319C4⋊C8C22×D4311yescharacteristic
1320#103—431no—
1321#103—431no—
1322#103—431no—
1323#103—431no—
1324#103—431no—
1325#103—431no—
1326#103C22×D4311yescharacteristic
1327#103C22×D4311yescharacteristic
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102—431no—
1342#102—431no—
1343#102—431no—
1344#102—431no—
1345#102—431no—
1346#102C22×D4311yescharacteristic
1347#102C22×D4311yescharacteristic
1348#102C22×D4311yescharacteristic
1349#102C22×D4311yescharacteristic
1350#102C22×D4311yescharacteristic
1351#102C22×D4311yescharacteristic
1352C22⋊C8—431no—
1353C22⋊C8—431no—
1354C22⋊C8—431no—
1355C22⋊C8—431no—
1356C22⋊C8C22×D4311yescharacteristic
1357C22⋊C8C22×D4311yescharacteristic
1358#97—431no—
1359#97—431no—
1360#97—431no—
1361#97C22×D4311yescharacteristic
1362C4×C8—431no—
1363C4×C8—431no—
1364C4×C8—431no—
1365C4×C8—431no—
1366C4×C8—431no—
1367C4×C8C22×D4311yescharacteristic
1368C24—21no—
1369C24—861no—
1370C24—861no—
1371#41—862no—
1372#41—862no—
1373#41—3442no—
1374#41—3442no—
1375#41—3442no—
1376#41—3442no—
1377#41—3442no—
1378#41—1721no—
1379#41—1721no—
1380C2×Q8—21no—
1381C2×Q8—431no—
1382C2×Q8—431no—
1383C2×Q8—861no—
1384C2×Q8—861no—
1385C2×Q8—861no—
1386C2×Q8—861no—
1387C2×Q8—862no—
1388C2×Q8—1721no—
1389C2×Q8C23×D4311yescharacteristic
1390C2×D4—22no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—41no—
1394C2×D4—431no—
1395C2×D4—431no—
1396C2×D4—431no—
1397C2×D4—431no—
1398C2×D4—431no—
1399C2×D4—431no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—861no—
1411C2×D4—861no—
1412C2×D4—862no—
1413C2×D4—862no—
1414C2×D4—861no—
1415C2×D4—861no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—861no—
1420C2×D4—861no—
1421C2×D4—861no—
1422C2×D4—861no—
1423C2×D4—3442no—
1424C2×D4—3442no—
1425C2×D4—3442no—
1426C2×D4—1721no—
1427C2×D4—1721no—
1428C2×D4C23×D4311yescharacteristic
1429C2×D4C23×D4311yescharacteristic
1430C2×D4C23×D4311yescharacteristic
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—431no—
1437C22×C4—431no—
1438C22×C4—431no—
1439C22×C4—431no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—861no—
1443C22×C4—861no—
1444C22×C4—861no—
1445C22×C4—861no—
1446C22×C4—861no—
1447C22×C4—861no—
1448C22×C4—861no—
1449C22×C4—861no—
1450C22×C4—861no—
1451C22×C4—861no—
1452C22×C4—861no—
1453C22×C4—861no—
1454C22×C4—861no—
1455C22×C4—861no—
1456C22×C4—3442no—
1457C22×C4C23×D4311yescharacteristic
1458SD16—22no—
1459SD16—41no—
1460SD16—434no—
1461SD16—862no—
1462SD16—862no—
1463SD16—862no—
1464SD16—862no—
1465SD16—1721no—
1466D8—22no—
1467D8—41no—
1468D8—862no—
1469D8—862no—
1470D8—862no—
1471D8—1721no—
1472D8—1721no—
1473D8—1721no—
1474M16—862no—
1475M16—862no—
1476C2×C8—431no—
1477C2×C8—431no—
1478C2×C8—431no—
1479C2×C8—431no—
1480C2×C8—862no—
1481C2×C8—1721no—
1482C2×C8—1721no—
1483C2×C8—1721no—
1484C2×C8C23×D4311yescharacteristic
1485C2×C8C23×D4311yescharacteristic
1486C2×C8C23×D4311yescharacteristic
1487C2×C8C23×D4311yescharacteristic
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—431no—
1492C4⋊C4—431no—
1493C4⋊C4—431no—
1494C4⋊C4—431no—
1495C4⋊C4—431no—
1496C4⋊C4—431no—
1497C4⋊C4—431no—
1498C4⋊C4—431no—
1499C4⋊C4—431no—
1500C4⋊C4—431no—
1501C4⋊C4—431no—
1502C4⋊C4—431no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4—861no—
1511C4⋊C4—861no—
1512C4⋊C4—861no—
1513C4⋊C4—861no—
1514C4⋊C4—861no—
1515C4⋊C4—861no—
1516C4⋊C4—861no—
1517C4⋊C4—861no—
1518C4⋊C4—861no—
1519C4⋊C4—861no—
1520C4⋊C4D4×D4311yescharacteristic
1521C4⋊C4D4×D4311yescharacteristic
1522C4⋊C4C23×D4311yescharacteristic
1523C4⋊C4C23×D4311yescharacteristic
1524C4⋊C4C23×D4311yescharacteristic
1525C4⋊C4C23×D4311yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—431no—
1537C22⋊C4—431no—
1538C22⋊C4—431no—
1539C22⋊C4—431no—
1540C22⋊C4—431no—
1541C22⋊C4—431no—
1542C22⋊C4—431no—
1543C22⋊C4—431no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4D4×D4311yescharacteristic
1567C22⋊C4D4×D4311yescharacteristic
1568C42—21no—
1569C42—21no—
1570C42—431no—
1571C42—431no—
1572C42—431no—
1573C42—431no—
1574C42—861no—
1575C42—861no—
1576C42—861no—
1577C42—861no—
1578C42—861no—
1579C42—861no—
1580C42C23×D4311yescharacteristic
1581C42C23×D4311yescharacteristic
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—42no—
1586C23—81no—
1587C23—81no—
1588C23—431no—
1589C23—431no—
1590C23—861no—
1591C23—861no—
1592C23—861no—
1593C23—3441no—
1594C23—3441no—
1595C23—3441no—
1596C23—1722no—
1597C23—1722no—
1598C23—1722no—
1599C23C2×D4×D4311yescharacteristic
1600Q8—21no—
1601Q8—21no—
1602Q8—81no—
1603Q8—432no—
1604Q8—862no—
1605Q8—861no—
1606Q8—3441no—
1607Q8—3441no—
1608Q8—3441no—
1609Q8—1722no—
1610D4—21no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—42no—
1616D4—81no—
1617D4—862no—
1618D4—862no—
1619D4—862no—
1620D4—861no—
1621D4—861no—
1622D4—861no—
1623D4—861no—
1624D4—861no—
1625D4—861no—
1626D4—3441no—
1627D4—3441no—
1628D4—3441no—
1629D4—3441no—
1630D4—3441no—
1631D4—3441no—
1632D4—3441no—
1633D4—3441no—
1634D4—3441no—
1635D4—3441no—
1636D4—3441no—
1637D4—1722no—
1638D4—1722no—
1639D4—1722no—
1640D4—1722no—
1641D4—1722no—
1642D4—1722no—
1643D4—1722no—
1644D4—1722no—
1645D4—1722no—
1646D4—1722no—
1647D4#41×D4312yes—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—431no—
1661C2×C4—431no—
1662C2×C4—431no—
1663C2×C4—431no—
1664C2×C4—431no—
1665C2×C4—431no—
1666C2×C4—862no—
1667C2×C4—862no—
1668C2×C4—861no—
1669C2×C4—861no—
1670C2×C4—861no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
1677C2×C4—3441no—
1678C2×C4—3441no—
1679C2×C4—3441no—
1680C2×C4—3441no—
1681C2×C4—3441no—
1682C2×C4—3441no—
1683C2×C4—3441no—
1684C2×C4—3441no—
1685C2×C4—3441no—
1686C2×C4—3441no—
1687C2×C4—1722no—
1688C2×C4—1722no—
1689C2×C4—1722no—
1690C2×C4—1722no—
1691C2×C4—1722no—
1692C2×C4—1722no—
1693C2×C4C2×D4×D4311yescharacteristic
1694C2×C4C2×D4×D4311yescharacteristic
1695C2×C4C2×D4×D4311yescharacteristic
1696C2×C4C2×D4×D4311yescharacteristic
1697C2×C4C2×D4×D4311yescharacteristic
1698C2×C4C24×D4311yescharacteristic
1699C8—21no—
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—432no—
1704C8—861no—
1705C8—861no—
1706C8—861no—
1707C22—21no—
1708C22—21no—
1709C22—21no—
1710C22—22no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—162no—
1720C22—432no—
1721C22—861no—
1722C22—861no—
1723C22—861no—
1724C22—861no—
1725C22—861no—
1726C22—3444no—
1727C22—1721no—
1728C22—1721no—
1729C22—1721no—
1730C22—1721no—
1731C22—1721no—
1732C22—1721no—
1733C22—1721no—
1734C22—1721no—
1735C22—1721no—
1736C22—6882no—
1737C22C22×D4×D4311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—432no—
1749C4—861no—
1750C4—861no—
1751C4—861no—
1752C4—861no—
1753C4—861no—
1754C4—862no—
1755C4—1721no—
1756C4—1721no—
1757C4—1721no—
1758C4—1721no—
1759C4C2×#41×D4311yescharacteristic
1760C4#1458373511yescharacteristic
1761C2—41no—
1762C2—42no—
1763C2—81no—
1764C2—81no—
1765C2—862no—
1766C2—3441no—
1767C2—3441no—
1768C2—3441no—
1769C2—1721no—
1770C2#1914807811yescharacteristic
1771C2#576×D4311yescharacteristic
1772C2#577×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3118C2
socleC22×C43C23×D4
hypercenter#3118D43
hypocenterC43#61498
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #19148676C2semidirect
2. #19148617C2semidirect
3. #19147632C2semidirect
4. #19147500C2semidirect
5. #19147265C2semidirect
6. #19147250C2semidirect
7. #19147219C2semidirect
8. #19147072C2semidirect
9. #19147068C2semidirect
10. #19146543C2semidirect
11. #19146504C2semidirect
12. #19146500C2semidirect
13. #19146412C2semidirect
14. #19146405C2semidirect
15. #19146401C2semidirect
16. #19146213C2semidirect
17. #19146096C2semidirect
18. #19146088C2semidirect
19. #19145276C2semidirect
20. #19145272C2semidirect
21. #19145171C2semidirect
22. #19144796C2semidirect
23. #19144790C2semidirect
24. #19144785C2semidirect
25. #19144715C2semidirect
26. #19144684C2semidirect
27. #19143568C2semidirect
28. #19143427C2semidirect
29. #19143424C2semidirect
30. C4×SD16×D43C2semidirect
31. C43×#3118C2semidirect
36. #14583631C22semidirect
37. #14583629C22semidirect
40. #14583607C22semidirect
46. #14583567C22semidirect
47. #14583559C22semidirect
48. #14583557C22semidirect
49. #14583552C22semidirect
51. #14583549C22semidirect
59. #14583521C22semidirect
68. #14583446C22semidirect
73. #14583379C22semidirect
74. #14583378C22semidirect
76. C4×Q8×D43C22semidirect
78. #14583307C22semidirect
79. #14583305C22semidirect
80. #14583303C22semidirect
81. #14583289C22semidirect
82. #14583285C22semidirect
83. #14583274C22semidirect
84. #14583255C22semidirect
85. #14583253C22semidirect
86. #14583247C22semidirect
87. #14583244C22semidirect
88. #14583244C22semidirect
89. #14583244C22semidirect
90. #14583239C22semidirect
91. #14583225C22semidirect
92. #14583219C22semidirect
93. #14583218C22semidirect
94. #14583216C22semidirect
95. #14583216C22semidirect
96. #14583214C22semidirect
97. #14583214C22semidirect
98. #14583213C22semidirect
99. #14583211C22semidirect
100. #14583207C22semidirect
101. #14583205C22semidirect
102. #14583201C22semidirect
103. #14583200C22semidirect
104. #14583193C22semidirect
105. #14583192C22semidirect
106. #14583188C22semidirect
107. #14583188C22semidirect
110. #14583151C22semidirect
111. #14583150C22semidirect
112. #14583148C22semidirect
113. #14583147C22semidirect
114. #14583136C22semidirect
115. #14583136C22semidirect
116. #14583134C22semidirect
117. #14583134C22semidirect
118. #14583133C22semidirect
119. #14583132C22semidirect
120. #14583130C22semidirect
121. #14583125C22semidirect
122. #14583117C22semidirect
124. #14583100C22semidirect
125. #14583098C22semidirect
126. #14583098C22semidirect
127. #14583097C22semidirect
128. #14583095C22semidirect
129. #14583093C22semidirect
131. #14583092C22semidirect
133. #14583046C22semidirect
134. #14583046C22semidirect
135. #14583045C22semidirect
136. #14583041C22semidirect
137. #14583039C22semidirect
138. #14583036C22semidirect
142. #14583028C22semidirect
143. #14583023C22semidirect
144. #14583012C22semidirect
146. #14583009C22semidirect
147. #14583009C22semidirect
148. #14583008C22semidirect
149. #14583001C22semidirect
151. #14582999C22semidirect
152. #14582997C22semidirect
155. C4×#10621873C22semidirect
157. C4×#10621884C22semidirect
158. #14582986C22semidirect
159. #14582986C22semidirect
161. C4×#10621883C22semidirect
162. #14582984C22semidirect
163. C4×D344C22semidirect
166. C4×#10621882C22semidirect
167. C4×#10621882C22semidirect
168. #14582974C22semidirect
169. #14582973C22semidirect
170. #14582969C22semidirect
171. #14582964C22semidirect
172. (C22⋊D43)⋊C8C22semidirect
173. (C22⋊D43)⋊C8C22semidirect
174. #14582958C22semidirect
175. #14582954C22semidirect
176. #14582942C22semidirect
177. #14582938C22semidirect
178. #106×D43C22semidirect
179. #14582893C22semidirect
180. #14582892C22semidirect
181. #103×D43C22semidirect
185. #14582856C22semidirect
186. #14582855C22semidirect
187. C4×C8×D43C22semidirect
188. C43×#542C22semidirect
190. C43×#485C22semidirect
191. C43×#482C22semidirect
192. C43×#476C22semidirect
195. C43×#463C22semidirect
199. C43×#440C22semidirect
201. C4×D8×C43C22semidirect
202. C43×#433C22semidirect
615. #10621883#41semidirect
899. #3118D43semidirect
948. #542C2×D43semidirect
979. #485C2×D43semidirect
981. #482C2×D43semidirect
999. #476C2×D43semidirect
1017. #463C2×D43semidirect
1051. #440C2×D43semidirect
1067. C4×D8C2×D43semidirect
1075. #433C2×D43semidirect
1089. C43#61498semidirect

Maximal subgroups

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

subgroupindex
#191486762
#191486172
#191476322
#191475002
#191472652
#191472502
#191472192
#191470722
#191470682
#191465432
#191465042
#191465002
#191464122
#191464052
#191464012
#191462132
#191460962
#191460882
#191452762
#191452722
#191451712
#191447962
#191447902
#191447852
#191447152
#191446842
#191435682
#191434272
#191434242
C4×SD16×D432
C43×#31182
#6149843