Finite Group Databasebeta

← #25979570

Subgroups — #25979570

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#19148673C211yesmaximal, characteristic, complemented
2#19148623C211yesmaximal, characteristic, complemented
3#19147638C211yesmaximal, characteristic, complemented
4#19147502C211yesmaximal, characteristic, complemented
5#19147265C211yesmaximal, characteristic, complemented
6#19147258C211yesmaximal, characteristic, complemented
7#19147217C211yesmaximal, characteristic, complemented
8#19147061C211yesmaximal, characteristic, complemented
9#19146543C211yesmaximal, characteristic, complemented
10#19146495C211yesmaximal, characteristic, complemented
11#19146491C211yesmaximal, characteristic, complemented
12#19146417C211yesmaximal, characteristic, complemented
13#19146406C211yesmaximal, characteristic, complemented
14#19146402C211yesmaximal, characteristic, complemented
15#19146212C211yesmaximal, characteristic, complemented
16#19146095C211yesmaximal, characteristic, complemented
17#19146087C211yesmaximal, characteristic, complemented
18#19145283C211yesmaximal, characteristic, complemented
19#19145279C211yesmaximal, characteristic, complemented
20#19145169C211yesmaximal, characteristic, complemented
21#19144799C211yesmaximal, characteristic, complemented
22#19144789C211yesmaximal, characteristic, complemented
23#19144784C211yesmaximal, characteristic, complemented
24#19144774C211yesmaximal, characteristic, complemented
25#19144714C211yesmaximal, characteristic, complemented
26#19144683C211yesmaximal, characteristic, complemented
27#19143565C211yesmaximal, characteristic, complemented
28#19143425C211yesmaximal, characteristic, complemented
29#19143424C211yesmaximal, characteristic, complemented
30C2×#14582986C211yesmaximal, characteristic, complemented
31C43×#3345C211yesmaximal, characteristic, complemented
32C2×#13063353C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C22×#10621873C2211yescharacteristic
35#14583633—21no—
36#14583632C2211yescharacteristic, complemented
37#14583629C2211yescharacteristic, complemented
38#14583612C2211yescharacteristic
39#14583605C2211yescharacteristic
40#14583604C2211yescharacteristic, complemented
41#14583603—21no—
42#14583600—21no—
43#14583597C2211yescharacteristic
44#14583570C2211yescharacteristic
45#14583567C2211yescharacteristic, complemented
46#14583558C2211yescharacteristic, complemented
47#14583555C2211yescharacteristic, complemented
48#14583550C2211yescharacteristic, complemented
49#14583548—21no—
50#14583547—21no—
51#14583544—21no—
52#14583541—21no—
53#14583538—21no—
54D4×D172C2211yescharacteristic
55#14583533C2211yescharacteristic
56#14583533C2211yescharacteristic
57#14583523C2211yescharacteristic, complemented
58#14583519—21no—
59#14583517—21no—
60#14583516C2211yescharacteristic, complemented
61#14583505C2211yescharacteristic
62#14583502C2211yescharacteristic
63#14583488—21no—
64#14583485—21no—
65#14583445—21no—
66#14583444C2211yescharacteristic
67#14583444C2211yescharacteristic, complemented
68#14583429C2211yescharacteristic
69#14583426—21no—
70#14583408—21no—
71#121×D43—21no—
72#14583380C2211yescharacteristic, complemented
73#14583378C2211yescharacteristic, complemented
74#14583373C2211yescharacteristic
75#14583371C2211yescharacteristic
76C2×#13063290C2211yescharacteristic, complemented
77C2×#13063287C2211yescharacteristic
78#14583306C2211yescharacteristic, complemented
79#14583303C2211yescharacteristic, complemented
80#14583288C2211yescharacteristic, complemented
81#14583287C2211yescharacteristic, complemented
82#14583274C2211yescharacteristic, complemented
83#14583256C2211yescharacteristic, complemented
84#14583252C2211yescharacteristic, complemented
85#14583247C2211yescharacteristic, complemented
86#14583244C2211yescharacteristic, complemented
87#14583244C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583243C2211yescharacteristic, complemented
90#14583240C2211yescharacteristic, complemented
91#14583225C2211yescharacteristic, complemented
92#14583219C2211yescharacteristic, complemented
93#14583217C2211yescharacteristic, complemented
94#14583214C2211yescharacteristic, complemented
95#14583212C2211yescharacteristic, complemented
96#14583212C2211yescharacteristic, complemented
97#14583209C2211yescharacteristic, complemented
98#14583203C2211yescharacteristic, complemented
99#14583198C2211yescharacteristic, complemented
100#14583193C2211yescharacteristic, complemented
101#14583193C2211yescharacteristic, complemented
102#14583188C2211yescharacteristic
103#14583188C2211yescharacteristic, complemented
104#14583188C2211yescharacteristic, complemented
105#14583178C2211yescharacteristic
106#14583176C2211yescharacteristic
107#14583153C2211yescharacteristic, complemented
108#14583146C2211yescharacteristic, complemented
109#14583145C2211yescharacteristic, complemented
110#14583136C2211yescharacteristic, complemented
111#14583135C2211yescharacteristic, complemented
112#14583133C2211yescharacteristic, complemented
113#14583133C2211yescharacteristic, complemented
114#14583133C2211yescharacteristic, complemented
115#14583129C2211yescharacteristic, complemented
116#14583126C2211yescharacteristic, complemented
117#14583115C2211yescharacteristic
118#14583114C2211yescharacteristic, complemented
119#14583113C2211yescharacteristic
120#14583113C2211yescharacteristic, complemented
121#14583100C2211yescharacteristic, complemented
122#14583098C2211yescharacteristic, complemented
123#14583098C2211yescharacteristic, complemented
124#14583098C2211yescharacteristic, complemented
125#14583094C2211yescharacteristic, complemented
126#14583093C2211yescharacteristic
127#14583093C2211yescharacteristic, complemented
128#14583093C2211yescharacteristic, complemented
129#14583052C2211yescharacteristic
130#14583051C2211yescharacteristic
131#14583046C2211yescharacteristic, complemented
132#14583045C2211yescharacteristic, complemented
133#14583045C2211yescharacteristic, complemented
134#14583042C2211yescharacteristic, complemented
135#14583040C2211yescharacteristic, complemented
136#14583037C2211yescharacteristic, complemented
137#14583035C2211yescharacteristic
138#14583034C2211yescharacteristic
139#14583032C2211yescharacteristic
140#14583032C2211yescharacteristic
141#14583027C2211yescharacteristic, complemented
142#14583023C2211yescharacteristic, complemented
143#14583010C2211yescharacteristic
144#14583010C2211yescharacteristic, complemented
145#14583010C2211yescharacteristic, complemented
146#14583008C2211yescharacteristic
147#14583008C2211yescharacteristic, complemented
148#14583001C2211yescharacteristic
149#14582998C2211yescharacteristic
150#14582998C2211yescharacteristic, complemented
151#14582998C2211yescharacteristic, complemented
152#14582996C2211yescharacteristic, complemented
153#14582996C2211yescharacteristic, complemented
154#14582986C2211yescharacteristic
155#14582986C2211yescharacteristic
156#14582986C2211yescharacteristic
157#14582986C2211yescharacteristic
158#14582986C2211yescharacteristic, complemented
159#14582986C2211yescharacteristic, complemented
160#14582986C2211yescharacteristic, complemented
161#14582986C2211yescharacteristic, complemented
162#14582986C2211yescharacteristic, complemented
163C4×#10621883C2211yescharacteristic, complemented
164D8×Dic43C2211yescharacteristic, complemented
165#14582981C2211yescharacteristic
166#14582981C2211yescharacteristic, complemented
167C4×#10621882C2211yescharacteristic
168#14582979C2211yescharacteristic, complemented
169#14582979C2211yescharacteristic, complemented
170#14582975C2211yescharacteristic, complemented
171#14582970C2211yescharacteristic, complemented
172D4×C43⋊C8C2211yescharacteristic, complemented
173(C22⋊D43)⋊C8C2211yescharacteristic, complemented
174(C22⋊D43)⋊C8C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582938C2211yescharacteristic, complemented
179#14582893C2211yescharacteristic, complemented
180#14582892C2211yescharacteristic, complemented
181C2×#13063248C2211yescharacteristic, complemented
182C2×#13063245C2211yescharacteristic
183C2×#13063245C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582857C2211yescharacteristic, complemented
186#14582856C2211yescharacteristic, complemented
187C2×C8×Dic43C2211yescharacteristic, complemented
188C43×#553C2211yescharacteristic
189C43×#547C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#481C2211yescharacteristic, complemented
193C43×#481C2211yescharacteristic, complemented
194C43×#480C2211yescharacteristic, complemented
195C43×#478C2211yescharacteristic, complemented
196C43×#476C2211yescharacteristic, complemented
197C43×#469C2211yescharacteristic, complemented
198C43×#466C2211yescharacteristic, complemented
199C43×#442C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C2×#106×C43C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×#10621900C2311yescharacteristic
209C22×Dic86C2311yescharacteristic
210C22×D172C2311yescharacteristic
211C22×D172C2311yescharacteristic
212C2×D4×D43—21no—
213C2×D4×D43—21no—
214C2×D4×D43—21no—
215C2×D4×D43C2311yescharacteristic
216C22×C4×D43—21no—
217#13063353—24no—
218#13063349—24no—
219C2×#10621873—24no—
220C2×#10621873C2311yescharacteristic
221C2×#10621873C2311yescharacteristic
222C2×#10621873C2311yescharacteristic
223C2×#10621873C2311yescharacteristic
224C2×#10621873C2311yescharacteristic
225C2×#10621873C2311yescharacteristic
226C2×#10621883C2311yescharacteristic
227C2×#10621883C2311yescharacteristic
228C2×D344C2311yescharacteristic
229C2×D344C2311yescharacteristic
230C2×D344C2311yescharacteristic
231C2×#10621882C2311yescharacteristic
232C2×#10621882C2311yescharacteristic
233C2×#10621882C2311yescharacteristic
234C2×#10621882C2311yescharacteristic
235C2×#10621872C2311yescharacteristic
236C22×C43⋊C8C2311yescharacteristic
237C22×C43⋊C8C2311yescharacteristic
238C2×C8×D43C2311yescharacteristic
239#13063324—21no—
240#13063324C2311yescharacteristic
241#13063324C2311yescharacteristic
242#13063324C2311yescharacteristic
243#13063323—21no—
244#13063323—21no—
245#13063322C2311yescharacteristic
246#13063321—21no—
247#13063321C2311yescharacteristic
248#13063321C2311yescharacteristic
249#13063321C2311yescharacteristic
250#13063320—21no—
251#13063320—21no—
252#13063320D411yescharacteristic
253#13063318—21no—
254#13063318D411yescharacteristic
255#13063316C2311yescharacteristic
256#13063315—21no—
257#13063315D411yescharacteristic
258#13063314—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#13063311—21no—
269#13063311D411yescharacteristic
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063309—21no—
276#13063309D411yescharacteristic
277#13063308—21no—
278#13063308—21no—
279#13063307—21no—
280#13063307—21no—
281#13063306—21no—
282#13063306D411yescharacteristic
283#13063305—21no—
284#13063305C2311yescharacteristic
285#13063304—21no—
286#13063304C2311yescharacteristic
287#13063303—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302D411yescharacteristic
295#13063301—21no—
296#13063300—21no—
297#13063300—21no—
298#13063300—21no—
299#13063300C2311yescharacteristic
300#13063300C2311yescharacteristic
301#13063300C2311yescharacteristic
302#13063299—21no—
303#13063299—21no—
304#13063299C2311yescharacteristic
305#13063299C2311yescharacteristic
306#13063299C2311yescharacteristic
307#13063298—21no—
308#13063298—21no—
309#13063298—21no—
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063297—21no—
314#13063297—21no—
315#13063297—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297—21no—
319#13063297D411yescharacteristic
320#13063296—21no—
321#13063295—21no—
322#13063295—21no—
323#13063295—21no—
324#13063295—21no—
325#13063293—21no—
326#13063293—21no—
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329#13063290—21no—
330#13063290—21no—
331#13063290—21no—
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334#13063290C2311yescharacteristic
335#13063290C2311yescharacteristic
336#13063290C2311yescharacteristic
337C4×D172—21no—
338C4×D172—21no—
339C4×D172C2311yescharacteristic
340D4×Dic43—21no—
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343#13063287—21no—
344#13063287—21no—
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
352#13063287C2311yescharacteristic
353#13063287C2311yescharacteristic
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43—21no—
360C4×C22⋊D43—21no—
361C4×C22⋊D43C2311yescharacteristic
362C4×C22⋊D43C2311yescharacteristic
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(C22⋊D43)⋊C4—21no—
369#13063284C2311yescharacteristic
370#13063283—21no—
371#13063283C2311yescharacteristic
372#13063282—21no—
373#13063282C2311yescharacteristic
374#13063281—21no—
375C2×Dic43⋊C4—21no—
376C2×Dic43⋊C4—21no—
377C4⋊C4×D43—21no—
378C4⋊C4×D43—21no—
379C4⋊C4×D43C2311yescharacteristic
380C2×(C2×D43)⋊C4—21no—
381C2×(C2×D43)⋊C4—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C2×C4×Dic43—21no—
386C2×C4×Dic43C2311yescharacteristic
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#13063248C2311yescharacteristic
402#13063248C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
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#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43—21no—
439C2×D8×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441C22×C8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443#126×C43—21no—
444#125×C43C2311yescharacteristic
445#123×C43—21no—
446#123×C43—21no—
447#123×C43—21no—
448C22⋊Q8×C43—21no—
449#121×C43—21no—
450#121×C43C2311yescharacteristic
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453#121×C43C2311yescharacteristic
454C4×D4×C43—21no—
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43C2311yescharacteristic
459C2×C4⋊C4×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C23×D43—21no—
484#41×C43—82no—
485C2×Q8×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43C2×D411yescharacteristic
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
499C22×C4×C43C2411yescharacteristic
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⋊D43C2×D411yescharacteristic
513C2×C22⋊D43C2×D411yescharacteristic
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43C2×D411yescharacteristic
519C22×Dic43C2×D411yescharacteristic
520#10621900—22no—
521#10621900—41no—
522#10621900—82no—
523#10621900—82no—
524D4×D43—22no—
525D4×D43—41no—
526D4×D43—82no—
527D4×D43—82no—
528D4×D43—82no—
529#10621898—22no—
530#10621898—41no—
531#10621898—82no—
532#10621898—82no—
533C2×D172—21no—
534C2×D172—21no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—21no—
540C2×D172—22no—
541C2×D172—22no—
542C2×D172—41no—
543C2×D172—41no—
544C2×D172C2411yescharacteristic
545C2×D172C2411yescharacteristic
546C2×D172C2411yescharacteristic
547C2×D172C2411yescharacteristic
548C2×C4×D43—21no—
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×D43C2411yescharacteristic
562C2×Dic86—22no—
563C2×Dic86—21no—
564C2×Dic86—21no—
565C2×Dic86—21no—
566C2×Dic86—21no—
567C2×Dic86—41no—
568C2×Dic86C2×D411yescharacteristic
569C2×Dic86C2411yescharacteristic
570C2×Dic86C2411yescharacteristic
571D8×C43—22no—
572M16×C43—22no—
573C2×C8×C43—22no—
574C2×C8×C43C2411yescharacteristic
575C2×C8×C43C2411yescharacteristic
576C2×C8×C43C2411yescharacteristic
577C2×C8×C43C2411yescharacteristic
578C4⋊C4×C43—21no—
579C4⋊C4×C43—21no—
580C4⋊C4×C43—21no—
581C4⋊C4×C43—21no—
582C4⋊C4×C43—21no—
583C4⋊C4×C43—21no—
584C4⋊C4×C43C2×D411yescharacteristic
585C4⋊C4×C43C2411yescharacteristic
586C4⋊C4×C43C2411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
588C4⋊C4×C43C2411yescharacteristic
589C4⋊C4×C43C2411yescharacteristic
590C4⋊C4×C43C2411yescharacteristic
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×C43C2411yescharacteristic
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43C2×D411yescharacteristic
608C22⋊Dic43C2×D411yescharacteristic
609C22⋊Dic43C2×D411yescharacteristic
610C22⋊Dic43C2×D411yescharacteristic
611#10621883—22no—
612#10621883—41no—
613#10621882—22no—
614#10621882—41no—
615#10621882—41no—
616#10621882—41no—
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)⋊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)⋊C4—21no—
637(C2×D43)⋊C4C2×D411yescharacteristic
638(C2×D43)⋊C4C2×D411yescharacteristic
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43C2×D411yescharacteristic
644C4⋊Dic43C2×D411yescharacteristic
645C4⋊Dic43C2×D411yescharacteristic
646C4⋊Dic43C2411yescharacteristic
647C4⋊Dic43C2411yescharacteristic
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678C2×C43⋊C8—41no—
679C2×C43⋊C8—41no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684D344—22no—
685D344—22no—
686D344—41no—
687#10621873—22no—
688#10621873—22no—
689#10621873—22no—
690#10621873—22no—
691#10621873—41no—
692#10621873#4114yescomplemented
693#10621872—22no—
694C8×D43—41no—
695C23×C43—21no—
696C23×C43—21no—
697C23×C43C22×D411yescharacteristic
698C23×C43C22×D411yescharacteristic
699C22×D43—21no—
700C22×D43—21no—
701C22×D43—21no—
702C22×D43—21no—
703C22×D43—42no—
704C22×D43—42no—
705C22×D43—42no—
706C22×D43—42no—
707C22×D43—81no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43—81no—
711C22×D43—81no—
712C22×D43C22×D411yescharacteristic
713Q8×C43—81no—
714D4×C43—22no—
715D4×C43—21no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—21no—
719D4×C43—42no—
720D4×C43—42no—
721D4×C43—81no—
722D4×C43—81no—
723C2×C4×C43—21no—
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—21no—
732C2×C4×C43—21no—
733C2×C4×C43—42no—
734C2×C4×C43—81no—
735C2×C4×C43—81no—
736C2×C4×C43—81no—
737C2×C4×C43—81no—
738C2×C4×C43C22×D411yescharacteristic
739C2×C4×C43C22×D411yescharacteristic
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C2511yescharacteristic
743C22⋊D43—22no—
744C22⋊D43—22no—
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—
757C2×Dic43—22no—
758C2×Dic43—21no—
759C2×Dic43—22no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—42no—
764C2×Dic43—42no—
765C2×Dic43—81no—
766C2×Dic43—81no—
767C2×Dic43C22×D411yescharacteristic
768C2×Dic43C22×D411yescharacteristic
769C2×Dic43C22×D411yescharacteristic
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774D172—21no—
775D172—21no—
776D172—21no—
777D172—21no—
778D172—21no—
779D172—21no—
780D172—21no—
781D172—42no—
782D172—42no—
783D172—81no—
784D172—81no—
785D172—81no—
786D172—81no—
787D172—81no—
788D172C2×#4112yes—
789C4×D43—21no—
790C4×D43—21no—
791C4×D43—42no—
792C4×D43—42no—
793C4×D43—42no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802C4×D43—81no—
803Dic86—21no—
804Dic86—22no—
805Dic86—21no—
806Dic86—21no—
807Dic86—42no—
808Dic86—81no—
809Dic86—81no—
810Dic86—81no—
811Dic86C2×#4112yes—
812C8×C43—21no—
813C8×C43—21no—
814C8×C43—21no—
815C8×C43C2×#4112yes—
816C43⋊C8—21no—
817C43⋊C8—21no—
818C43⋊C8—21no—
819C43⋊C8—21no—
820#61498—431nomaximal, Sylow
821C22×C43—21no—
822C22×C43—21no—
823C22×C43—21no—
824C22×C43—21no—
825C22×C43—21no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43#57612yes—
833C22×C43C23×D411yescharacteristic
834C2×D43—22no—
835C2×D43—21no—
836C2×D43—21no—
837C2×D43—21no—
838C2×D43—41no—
839C2×D43—41no—
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—162no—
852C4×C43—21no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—41no—
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—21no—
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#3345D4311yescharacteristic, complemented
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#3118—431no—
900#3112—431no—
901#3109—431no—
902#2966—431no—
903#2946—431no—
904#2946—431no—
905C2×C4×SD16—431no—
906C2×C43—22no—
907C2×C43—41no—
908C2×C43—81no—
909C2×C43—81no—
910C2×C43D4×#4111yescharacteristic
911C2×C43C2×#57611yescharacteristic
912C2×C43C2×#57711yescharacteristic
913D43—41no—
914D43—42no—
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—861no—
930#553C2×D4311yescharacteristic
931#550—431no—
932#550—431no—
933#548—431no—
934#548—431no—
935#547—431no—
936#547—861no—
937#547—861no—
938#547C2×D4311yescharacteristic, complemented
939#546—861no—
940#546—861no—
941#546—861no—
942D42—431no—
943D42—431no—
944D42—431no—
945#542—431no—
946#542—431no—
947#542—861no—
948#542—861no—
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#518—431no—
964C2×C4×Q8—431no—
965C2×C4×D4—431no—
966#501—431no—
967#501C2×D4311yescharacteristic, complemented
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#485—431no—
980#482—431no—
981#482C2×D4311yescharacteristic, complemented
982#481—431no—
983#481—431no—
984#481C2×D4311yescharacteristic, complemented
985#481C2×D4311yescharacteristic, complemented
986#480—431no—
987#480—431no—
988#480—431no—
989#480C2×D4311yescharacteristic, complemented
990#479—431no—
991#479—431no—
992#478—431no—
993#478C2×D4311yescharacteristic, complemented
994#477—431no—
995#477—431no—
996#476—431no—
997#476—431no—
998#476—431no—
999#476C2×D4311yescharacteristic, complemented
1000#474—431no—
1001#474—431no—
1002#469—431no—
1003#469C2×D4311yescharacteristic, complemented
1004#468—431no—
1005#468—431no—
1006#466—431no—
1007#466—431no—
1008#466—431no—
1009#466—431no—
1010#466—431no—
1011#466C2×D4311yescharacteristic, complemented
1012#465—431no—
1013#465—431no—
1014#463—431no—
1015#463—431no—
1016#463—431no—
1017#463—431no—
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#450—431no—
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#447—431no—
1038#446—431no—
1039C8×Q8—431no—
1040#442—431no—
1041#442—431no—
1042#442—431no—
1043#442—431no—
1044#442—431no—
1045#442C2×D4311yescharacteristic, complemented
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050#440—431no—
1051#440—431no—
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×SD16—431no—
1062C4×D8—431no—
1063C4×D8—431no—
1064C4×D8—431no—
1065C4×D8—431no—
1066C4×D8—431no—
1067C4×D8—431no—
1068#436—431no—
1069#435—431no—
1070#435C2×D4311yescharacteristic, complemented
1071C8×D4—431no—
1072C8×D4—431no—
1073C8×D4—431no—
1074#433—431no—
1075#433—431no—
1076#432—431no—
1077#428—431no—
1078#428C2×D4311yescharacteristic, complemented
1079C2×#106C2×D4311yescharacteristic, complemented
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—21no—
1091C2×#41—431no—
1092C2×#41—431no—
1093C2×#41—861no—
1094C2×#41—861no—
1095C2×#41—861no—
1096C2×#41—861no—
1097C22×Q8—431no—
1098C22×D4—431no—
1099C22×D4—431no—
1100C22×D4—431no—
1101C22×D4—861no—
1102C22×D4—861no—
1103C22×D4—861no—
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—431no—
1114C2×SD16—431no—
1115C2×SD16—864no—
1116C2×D8—431no—
1117C2×D8—431no—
1118C2×D8—431no—
1119C2×D8—431no—
1120C2×D8—431no—
1121C2×D8—431no—
1122C2×D8—431no—
1123C2×D8C22×D4311yescharacteristic
1124C2×M16—431no—
1125C2×M16C22×D4311yescharacteristic
1126C22×C8—431no—
1127C22×C8—431no—
1128C22×C8—431no—
1129C22×C8C22×D4311yescharacteristic
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—861no—
1151#125C22×D4311yescharacteristic
1152#124—431no—
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#124—861no—
1164#123—21no—
1165#123—21no—
1166#123—21no—
1167#123—431no—
1168#123—431no—
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—431no—
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⋊Q8—861no—
1194#121—21no—
1195#121—431no—
1196#121—431no—
1197#121—431no—
1198#121—431no—
1199#121—431no—
1200#121—431no—
1201#121—431no—
1202#121—861no—
1203#121—861no—
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#121C22×D4311yescharacteristic
1221#121C22×D4311yescharacteristic
1222#121C22×D4311yescharacteristic
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—431no—
1237C4×Q8—861no—
1238C4×Q8—861no—
1239C4×Q8—861no—
1240C4×D4—21no—
1241C4×D4—431no—
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—431no—
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×D4—861no—
1272C4×D4—861no—
1273C4×D4C22×D4311yescharacteristic
1274C4×D4C22×D4311yescharacteristic
1275C4×D4C22×D4311yescharacteristic
1276#117—431no—
1277#117—431no—
1278#117—431no—
1279#117—861no—
1280#117—861no—
1281#117—861no—
1282#117C22×D4311yescharacteristic
1283C2×C4⋊C4—431no—
1284C2×C4⋊C4—861no—
1285C2×C4⋊C4—861no—
1286C2×C4⋊C4—861no—
1287C2×C4⋊C4—861no—
1288C2×C4⋊C4C22×D4311yescharacteristic
1289C2×C4⋊C4C22×D4311yescharacteristic
1290C2×C4⋊C4C22×D4311yescharacteristic
1291C2×C22⋊C4—861no—
1292C2×C22⋊C4—861no—
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#107C22×D4311yescharacteristic
1304#107C22×D4311yescharacteristic
1305#107C22×D4311yescharacteristic
1306#106—431no—
1307#106—431no—
1308#106C22×D4311yescharacteristic
1309#106C22×D4311yescharacteristic
1310#106C22×D4311yescharacteristic
1311#106C22×D4311yescharacteristic
1312#106C22×D4311yescharacteristic
1313#106C22×D4311yescharacteristic
1314C4⋊C8—431no—
1315C4⋊C8—431no—
1316C4⋊C8—431no—
1317C4⋊C8—431no—
1318C4⋊C8—431no—
1319C4⋊C8C22×D4311yescharacteristic
1320#103—431no—
1321#103—431no—
1322#103—431no—
1323#103—431no—
1324#103—431no—
1325#103—431no—
1326#103—431no—
1327#103—431no—
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×C8—431no—
1368C24—861no—
1369C24—861no—
1370C24—861no—
1371#41—82no—
1372#41—862no—
1373#41—862no—
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—431no—
1384C2×Q8—861no—
1385C2×Q8—861no—
1386C2×Q8—861no—
1387C2×Q8—862no—
1388C2×Q8—861no—
1389C2×Q8—1721no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—431no—
1395C2×D4—431no—
1396C2×D4—431no—
1397C2×D4—431no—
1398C2×D4—431no—
1399C2×D4—431no—
1400C2×D4—862no—
1401C2×D4—862no—
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—861no—
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—3442no—
1423C2×D4—3442no—
1424C2×D4—3442no—
1425C2×D4—1721no—
1426C2×D4—1721no—
1427C2×D4—1721no—
1428C2×D4D4×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—861no—
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—3442no—
1456C22×C4C23×D4311yescharacteristic
1457C22×C4C23×D4311yescharacteristic
1458SD16—434no—
1459SD16—862no—
1460SD16—862no—
1461SD16—862no—
1462SD16—862no—
1463SD16—862no—
1464SD16—1721no—
1465SD16—1721no—
1466D8—22no—
1467D8—862no—
1468D8—862no—
1469D8—862no—
1470D8—1721no—
1471D8—1721no—
1472D8—1721no—
1473D8—1721no—
1474M16—22no—
1475M16—862no—
1476C2×C8—22no—
1477C2×C8—431no—
1478C2×C8—431no—
1479C2×C8—431no—
1480C2×C8—431no—
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—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
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—431no—
1504C4⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1520C4⋊C4C23×D4311yescharacteristic
1521C4⋊C4C23×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—431no—
1534C22⋊C4—431no—
1535C22⋊C4—431no—
1536C22⋊C4—431no—
1537C22⋊C4—431no—
1538C22⋊C4—431no—
1539C22⋊C4—431no—
1540C22⋊C4—431no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
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—431no—
1570C42—431no—
1571C42—431no—
1572C42—431no—
1573C42—431no—
1574C42—861no—
1575C42—861no—
1576C42—861no—
1577C42—861no—
1578C42—861no—
1579C42—861no—
1580C42—861no—
1581C42C23×D4311yescharacteristic
1582C23—21no—
1583C23—21no—
1584C23—431no—
1585C23—861no—
1586C23—861no—
1587C23—861no—
1588C23—861no—
1589C23—3441no—
1590C23—3441no—
1591C23—3441no—
1592C23—3441no—
1593C23—3441no—
1594C23—1722no—
1595C23—1722no—
1596C23—1722no—
1597C23—1722no—
1598C23C2×D4×D4311yescharacteristic
1599C23C2×D4×D4311yescharacteristic
1600Q8—81no—
1601Q8—432no—
1602Q8—862no—
1603Q8—861no—
1604Q8—861no—
1605Q8—861no—
1606Q8—3441no—
1607Q8—3441no—
1608Q8—3441no—
1609Q8—1722no—
1610D4—22no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—42no—
1616D4—42no—
1617D4—81no—
1618D4—81no—
1619D4—432no—
1620D4—862no—
1621D4—862no—
1622D4—861no—
1623D4—861no—
1624D4—861no—
1625D4—861no—
1626D4—861no—
1627D4—861no—
1628D4—861no—
1629D4—3441no—
1630D4—3441no—
1631D4—3441no—
1632D4—3441no—
1633D4—3441no—
1634D4—3441no—
1635D4—3441no—
1636D4—3441no—
1637D4—3441no—
1638D4—3441no—
1639D4—1722no—
1640D4—1722no—
1641D4—1722no—
1642D4—1722no—
1643D4—1722no—
1644D4—1722no—
1645D4—1722no—
1646D4—1722no—
1647D4—1722no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—42no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—81no—
1662C2×C4—81no—
1663C2×C4—431no—
1664C2×C4—431no—
1665C2×C4—431no—
1666C2×C4—431no—
1667C2×C4—431no—
1668C2×C4—431no—
1669C2×C4—431no—
1670C2×C4—862no—
1671C2×C4—862no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
1677C2×C4—861no—
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—3441no—
1688C2×C4—3441no—
1689C2×C4—1722no—
1690C2×C4—1722no—
1691C2×C4—1722no—
1692C2×C4—1722no—
1693C2×C4—1722no—
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—861no—
1703C8—861no—
1704C8—861no—
1705C8—861no—
1706C8#41×D4312yes—
1707C22—21no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—861no—
1719C22—861no—
1720C22—861no—
1721C22—862no—
1722C22—3444no—
1723C22—1721no—
1724C22—1721no—
1725C22—1721no—
1726C22—1721no—
1727C22—1721no—
1728C22—1721no—
1729C22—1721no—
1730C22—1721no—
1731C22—1721no—
1732C22—1721no—
1733C22—1721no—
1734C22—6882no—
1735C22—6882no—
1736C22#1458370312yes—
1737C22C22×D4×D4311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—432no—
1749C4—861no—
1750C4—861no—
1751C4—861no—
1752C4—861no—
1753C4—861no—
1754C4—861no—
1755C4—862no—
1756C4—1721no—
1757C4—1721no—
1758C4—1721no—
1759C4C2×#41×D4311yescharacteristic
1760C4#1458373611yescharacteristic
1761C2—22no—
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—3441no—
1766C2—3441no—
1767C2—3441no—
1768C2—1721no—
1769C2—1722no—
1770C2#1914808211yescharacteristic
1771C2C2×#1458370311yescharacteristic
1772C2#577×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3345C2
socleC22×C43C23×D4
hypercenter#3345D43
hypocenterC43#61498
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3345

Complements

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

NH ≅ G/Ntype
1. #19148673C2semidirect
2. #19148623C2semidirect
3. #19147638C2semidirect
4. #19147502C2semidirect
5. #19147265C2semidirect
6. #19147258C2semidirect
7. #19147217C2semidirect
8. #19147061C2semidirect
9. #19146543C2semidirect
10. #19146495C2semidirect
11. #19146491C2semidirect
12. #19146417C2semidirect
13. #19146406C2semidirect
14. #19146402C2semidirect
15. #19146212C2semidirect
16. #19146095C2semidirect
17. #19146087C2semidirect
18. #19145283C2semidirect
19. #19145279C2semidirect
20. #19145169C2semidirect
21. #19144799C2semidirect
22. #19144789C2semidirect
23. #19144784C2semidirect
24. #19144774C2semidirect
25. #19144714C2semidirect
26. #19144683C2semidirect
27. #19143565C2semidirect
28. #19143425C2semidirect
29. #19143424C2semidirect
30. C2×#14582986C2semidirect
31. C43×#3345C2semidirect
36. #14583632C22semidirect
37. #14583629C22semidirect
40. #14583604C22semidirect
45. #14583567C22semidirect
46. #14583558C22semidirect
47. #14583555C22semidirect
48. #14583550C22semidirect
57. #14583523C22semidirect
60. #14583516C22semidirect
67. #14583444C22semidirect
72. #14583380C22semidirect
73. #14583378C22semidirect
76. C2×#13063290C22semidirect
78. #14583306C22semidirect
79. #14583303C22semidirect
80. #14583288C22semidirect
81. #14583287C22semidirect
82. #14583274C22semidirect
83. #14583256C22semidirect
84. #14583252C22semidirect
85. #14583247C22semidirect
86. #14583244C22semidirect
87. #14583244C22semidirect
88. #14583244C22semidirect
89. #14583243C22semidirect
90. #14583240C22semidirect
91. #14583225C22semidirect
92. #14583219C22semidirect
93. #14583217C22semidirect
94. #14583214C22semidirect
95. #14583212C22semidirect
96. #14583212C22semidirect
97. #14583209C22semidirect
98. #14583203C22semidirect
99. #14583198C22semidirect
100. #14583193C22semidirect
101. #14583193C22semidirect
103. #14583188C22semidirect
104. #14583188C22semidirect
107. #14583153C22semidirect
108. #14583146C22semidirect
109. #14583145C22semidirect
110. #14583136C22semidirect
111. #14583135C22semidirect
112. #14583133C22semidirect
113. #14583133C22semidirect
114. #14583133C22semidirect
115. #14583129C22semidirect
116. #14583126C22semidirect
118. #14583114C22semidirect
120. #14583113C22semidirect
121. #14583100C22semidirect
122. #14583098C22semidirect
123. #14583098C22semidirect
124. #14583098C22semidirect
125. #14583094C22semidirect
127. #14583093C22semidirect
128. #14583093C22semidirect
131. #14583046C22semidirect
132. #14583045C22semidirect
133. #14583045C22semidirect
134. #14583042C22semidirect
135. #14583040C22semidirect
136. #14583037C22semidirect
141. #14583027C22semidirect
142. #14583023C22semidirect
144. #14583010C22semidirect
145. #14583010C22semidirect
147. #14583008C22semidirect
150. #14582998C22semidirect
151. #14582998C22semidirect
152. #14582996C22semidirect
153. #14582996C22semidirect
158. #14582986C22semidirect
159. #14582986C22semidirect
160. #14582986C22semidirect
161. #14582986C22semidirect
162. #14582986C22semidirect
163. C4×#10621883C22semidirect
164. D8×Dic43C22semidirect
166. #14582981C22semidirect
168. #14582979C22semidirect
169. #14582979C22semidirect
170. #14582975C22semidirect
171. #14582970C22semidirect
172. D4×C43⋊C8C22semidirect
173. (C22⋊D43)⋊C8C22semidirect
174. (C22⋊D43)⋊C8C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582938C22semidirect
179. #14582893C22semidirect
180. #14582892C22semidirect
181. C2×#13063248C22semidirect
185. #14582857C22semidirect
186. #14582856C22semidirect
187. C2×C8×Dic43C22semidirect
189. C43×#547C22semidirect
190. C43×#501C22semidirect
191. C43×#482C22semidirect
192. C43×#481C22semidirect
193. C43×#481C22semidirect
194. C43×#480C22semidirect
195. C43×#478C22semidirect
196. C43×#476C22semidirect
197. C43×#469C22semidirect
198. C43×#466C22semidirect
199. C43×#442C22semidirect
200. C43×#435C22semidirect
201. C43×#428C22semidirect
202. C2×#106×C43C22semidirect
692. #10621873#41semidirect
883. #3345D43semidirect
938. #547C2×D43semidirect
967. #501C2×D43semidirect
981. #482C2×D43semidirect
984. #481C2×D43semidirect
985. #481C2×D43semidirect
989. #480C2×D43semidirect
993. #478C2×D43semidirect
999. #476C2×D43semidirect
1003. #469C2×D43semidirect
1011. #466C2×D43semidirect
1045. #442C2×D43semidirect
1070. #435C2×D43semidirect
1078. #428C2×D43semidirect
1079. C2×#106C2×D43semidirect
1089. C43#61498semidirect

Maximal subgroups

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

subgroupindex
#191486732
#191486232
#191476382
#191475022
#191472652
#191472582
#191472172
#191470612
#191465432
#191464952
#191464912
#191464172
#191464062
#191464022
#191462122
#191460952
#191460872
#191452832
#191452792
#191451692
#191447992
#191447892
#191447842
#191447742
#191447142
#191446832
#191435652
#191434252
#191434242
C2×#145829862
C43×#33452
#6149843