Finite Group Databasebeta

← #25979620

Subgroups — #25979620

Order 11008.

1794 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148695C211yesmaximal, characteristic, complemented
2#19148658C211yesmaximal, characteristic, complemented
3#19147666C211yesmaximal, characteristic, complemented
4#19147535C211yesmaximal, characteristic, complemented
5#19147279C211yesmaximal, characteristic, complemented
6#19147258C211yesmaximal, characteristic, complemented
7#19147151C211yesmaximal, characteristic, complemented
8#19147121C211yesmaximal, characteristic, complemented
9#19146532C211yesmaximal, characteristic, complemented
10#19146517C211yesmaximal, characteristic, complemented
11#19146491C211yesmaximal, characteristic, complemented
12#19146480C211yesmaximal, characteristic, complemented
13#19146448C211yesmaximal, characteristic, complemented
14#19146433C211yesmaximal, characteristic, complemented
15#19146233C211yesmaximal, characteristic, complemented
16#19146155C211yesmaximal, characteristic, complemented
17#19146132C211yesmaximal, characteristic, complemented
18#19145279C211yesmaximal, characteristic, complemented
19#19145268C211yesmaximal, characteristic, complemented
20#19145160C211yesmaximal, characteristic, complemented
21#19144819C211yesmaximal, characteristic, complemented
22#19144814C211yesmaximal, characteristic, complemented
23#19144797C211yesmaximal, characteristic, complemented
24#19144786C211yesmaximal, characteristic, complemented
25#19144699C211yesmaximal, characteristic, complemented
26#19144699C211yesmaximal, characteristic, complemented
27#19143565C211yesmaximal, characteristic, complemented
28#19143436C211yesmaximal, characteristic, complemented
29#19143424C211yesmaximal, characteristic, complemented
30#19143366C211yesmaximal, characteristic, complemented
31C43×#3347C211yesmaximal, characteristic, complemented
32C2×#13063358C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063347C2211yescharacteristic
35#14583632C2211yescharacteristic, complemented
36#14583631—21no—
37#14583624C2211yescharacteristic, complemented
38#14583619C2211yescharacteristic
39#14583617C2211yescharacteristic
40#14583611—21no—
41#14583605C2211yescharacteristic
42#14583596—21no—
43#14583593C2211yescharacteristic
44#14583592—21no—
45#14583588C2211yescharacteristic
46#14583585—21no—
47#14583584C2211yescharacteristic
48#14583582—21no—
49#14583578—21no—
50#14583572—21no—
51#14583567C2211yescharacteristic
52#14583558C2211yescharacteristic, complemented
53#14583555C2211yescharacteristic
54#14583554C2211yescharacteristic
55#14583546C2211yescharacteristic
56#14583546C2211yescharacteristic
57#14583523C2211yescharacteristic
58#14583516C2211yescharacteristic
59#14583513—21no—
60#14583512C2211yescharacteristic
61#14583502C2211yescharacteristic, complemented
62#14583499—21no—
63#14583492—21no—
64#14583481—21no—
65#14583431—21no—
66#14583430C2211yescharacteristic
67#14583430C2211yescharacteristic, complemented
68#14583429C2211yescharacteristic
69#14583428—21no—
70#14583427—21no—
71#126×D43—21no—
72#14583380C2211yescharacteristic
73#14583378C2211yescharacteristic
74#14583376C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic
76#14583367C2211yescharacteristic
77#14583367C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583300C2211yescharacteristic, complemented
80#14583293C2211yescharacteristic, complemented
81#14583287C2211yescharacteristic
82#14583282C2211yescharacteristic
83#14583256C2211yescharacteristic, complemented
84#14583252C2211yescharacteristic
85#14583252C2211yescharacteristic
86#14583252C2211yescharacteristic, complemented
87#14583251C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583242C2211yescharacteristic
90#14583240C2211yescharacteristic, complemented
91#14583240C2211yescharacteristic, complemented
92#14583240C2211yescharacteristic, complemented
93#14583236C2211yescharacteristic
94#14583231C2211yescharacteristic
95#14583226C2211yescharacteristic
96#14583217C2211yescharacteristic, complemented
97#14583205C2211yescharacteristic, complemented
98#14583205C2211yescharacteristic, complemented
99#14583205C2211yescharacteristic, complemented
100#14583203C2211yescharacteristic, complemented
101#14583202C2211yescharacteristic
102#14583198C2211yescharacteristic
103#14583198C2211yescharacteristic, complemented
104#14583193C2211yescharacteristic, complemented
105#14583186C2211yescharacteristic
106#14583183C2211yescharacteristic, complemented
107#14583158C2211yescharacteristic
108#14583146C2211yescharacteristic
109#14583145C2211yescharacteristic, complemented
110#14583141C2211yescharacteristic
111#14583140C2211yescharacteristic, complemented
112#14583133C2211yescharacteristic
113#14583129C2211yescharacteristic
114#14583126C2211yescharacteristic
115#14583126C2211yescharacteristic, complemented
116#14583126C2211yescharacteristic, complemented
117#14583120C2211yescharacteristic
118#14583120C2211yescharacteristic
119#14583120C2211yescharacteristic
120#14583120C2211yescharacteristic, complemented
121#14583115C2211yescharacteristic
122#14583114C2211yescharacteristic
123#14583113C2211yescharacteristic
124#14583113C2211yescharacteristic
125#14583110C2211yescharacteristic, complemented
126#14583104C2211yescharacteristic, complemented
127#14583098C2211yescharacteristic, complemented
128#14583093C2211yescharacteristic
129#14583063C2211yescharacteristic
130#14583063C2211yescharacteristic, complemented
131#14583062C2211yescharacteristic
132#14583062C2211yescharacteristic
133#14583057C2211yescharacteristic, complemented
134#14583051C2211yescharacteristic
135#14583046C2211yescharacteristic
136#14583042C2211yescharacteristic
137#14583042C2211yescharacteristic
138#14583042C2211yescharacteristic
139#14583037C2211yescharacteristic
140#14583034C2211yescharacteristic
141#14583027C2211yescharacteristic, complemented
142#14583023C2211yescharacteristic, complemented
143#14583008C2211yescharacteristic
144#14583008C2211yescharacteristic
145#14583005C2211yescharacteristic, complemented
146#14583005C2211yescharacteristic, complemented
147#14583005C2211yescharacteristic, complemented
148#14583001C2211yescharacteristic
149#14582998C2211yescharacteristic
150#14582998C2211yescharacteristic
151#14582998C2211yescharacteristic, complemented
152#14582996C2211yescharacteristic
153#14582996C2211yescharacteristic, complemented
154#14582993C2211yescharacteristic, complemented
155#14582993C2211yescharacteristic, complemented
156#14582993C2211yescharacteristic, complemented
157#14582993C2211yescharacteristic, complemented
158#14582990C2211yescharacteristic
159#14582990C2211yescharacteristic, complemented
160#14582986C2211yescharacteristic
161#14582986C2211yescharacteristic
162#14582986C2211yescharacteristic
163#14582986C2211yescharacteristic, complemented
164#14582986C2211yescharacteristic, complemented
165C4×#10621883C2211yescharacteristic
166D8×Dic43C2211yescharacteristic
167#14582981C2211yescharacteristic
168#14582981C2211yescharacteristic
169C4×#10621882C2211yescharacteristic
170#14582975C2211yescharacteristic
171#14582970C2211yescharacteristic
172D4×C43⋊C8C2211yescharacteristic, complemented
173(C22⋊D43)⋊C8C2211yescharacteristic
174(C22⋊D43)⋊C8C2211yescharacteristic
175#14582959C2211yescharacteristic
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582938C2211yescharacteristic
179#14582893C2211yescharacteristic
180#14582893C2211yescharacteristic
181#14582893C2211yescharacteristic, complemented
182#14582892C2211yescharacteristic
183C2×#13063248C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582857C2211yescharacteristic, complemented
186#14582856C2211yescharacteristic
187C2×C8×Dic43C2211yescharacteristic, complemented
188C43×#555C2211yescharacteristic, complemented
189C43×#553C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic
192C43×#482C2211yescharacteristic
193C43×#482C2211yescharacteristic, complemented
194C43×#480C2211yescharacteristic, complemented
195C43×#478C2211yescharacteristic, complemented
196C43×#474C2211yescharacteristic
197C43×#469C2211yescharacteristic
198C43×#466C2211yescharacteristic
199C43×#442C2211yescharacteristic
200C43×#435C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C43×#427C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C2×#10621900C2311yescharacteristic
207C22×Dic86C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209#13063358—24no—
210#13063349—24no—
211#13063347—24no—
212C2×Dic172C2311yescharacteristic
213C2×Dic172C2311yescharacteristic
214C2×Dic172C2311yescharacteristic
215C2×Dic172C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C22×C43⋊C8C2311yescharacteristic
229C22×C43⋊C8C2311yescharacteristic
230C2×C8×D43C2311yescharacteristic
231#13063325C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063323—21no—
234#13063321—21no—
235#13063321C2311yescharacteristic
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320D411yescharacteristic
241#13063319—21no—
242#13063319—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318D411yescharacteristic
251#13063317—21no—
252#13063316—21no—
253#13063316—21no—
254#13063316C2311yescharacteristic
255#13063316C2311yescharacteristic
256#13063316C2311yescharacteristic
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315D411yescharacteristic
261#13063314—21no—
262#13063313C2311yescharacteristic
263#13063312—21no—
264#13063312C2311yescharacteristic
265#13063312C2311yescharacteristic
266#13063312C2311yescharacteristic
267#13063311—21no—
268#13063311—21no—
269#13063311—21no—
270#13063311—21no—
271#13063311D411yescharacteristic
272#13063310—21no—
273#13063309—21no—
274#13063309D411yescharacteristic
275#13063308—21no—
276#13063308—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063306—21no—
286#13063306—21no—
287#13063306—21no—
288#13063306D411yescharacteristic
289#13063305—21no—
290#13063305C2311yescharacteristic
291#13063305C2311yescharacteristic
292#13063305C2311yescharacteristic
293#13063304—21no—
294#13063304C2311yescharacteristic
295#13063304C2311yescharacteristic
296#13063304C2311yescharacteristic
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302D411yescharacteristic
303#13063301—21no—
304#13063300C2311yescharacteristic
305#13063299C2311yescharacteristic
306#13063298—21no—
307#13063298—21no—
308#13063297—21no—
309#13063297—21no—
310#13063297—21no—
311#13063297—21no—
312#13063297D411yescharacteristic
313#13063296—21no—
314#13063296—21no—
315#13063296—21no—
316#13063296—21no—
317#13063293—21no—
318#13063293—21no—
319Q8×Dic43—21no—
320C4×Dic86—21no—
321C4×Dic86—21no—
322C4×Dic86—21no—
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325#13063290C2311yescharacteristic
326#13063290C2311yescharacteristic
327#13063290C2311yescharacteristic
328#13063290C2311yescharacteristic
329#13063290C2311yescharacteristic
330#13063290C2311yescharacteristic
331#13063290C2311yescharacteristic
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334C4×D172—21no—
335C4×D172C2311yescharacteristic
336D4×Dic43—21no—
337D4×Dic43—21no—
338D4×Dic43—21no—
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341#13063287C2311yescharacteristic
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43C2311yescharacteristic
352C4×C22⋊D43C2311yescharacteristic
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361#13063284—21no—
362#13063284—21no—
363#13063284C2311yescharacteristic
364#13063283—21no—
365#13063283C2311yescharacteristic
366#13063282—21no—
367#13063282—21no—
368#13063282—21no—
369#13063282C2311yescharacteristic
370#13063281—21no—
371#13063281—21no—
372#13063281—21no—
373#13063281—21no—
374#13063281—21no—
375C2×Dic43⋊C4—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43—21no—
378C4⋊C4×D43—21no—
379C4⋊C4×D43C2311yescharacteristic
380C2×(C2×D43)⋊C4—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C2×C4×Dic43C2311yescharacteristic
385C42×D43—21no—
386C42×D43—21no—
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
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×D8×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#125×C43C2311yescharacteristic
444#124×C43—21no—
445#124×C43—21no—
446#123×C43—21no—
447#121×C43—21no—
448#121×C43—21no—
449#121×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×D4×C43—21no—
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#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—
482C2×Q8×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43C2×D411yescharacteristic
488C2×D4×C43C2411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43C2411yescharacteristic
494C22×C4×C43C2411yescharacteristic
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43C2×D411yescharacteristic
504C2×C22⋊D43C2×D411yescharacteristic
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43C2×D411yescharacteristic
510C22×Dic43C2×D411yescharacteristic
511#10621900—22no—
512#10621900—41no—
513D4×D43—22no—
514D4×D43—41no—
515#10621898—22no—
516#10621898—22no—
517#10621898—22no—
518#10621898—41no—
519#10621898—41no—
520#10621898—41no—
521C2×D172—21no—
522C2×D172C2411yescharacteristic
523C2×D172C2411yescharacteristic
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43C2411yescharacteristic
535C2×Dic86—22no—
536C2×Dic86—21no—
537C2×Dic86—21no—
538C2×Dic86—41no—
539C2×Dic86C2×D411yescharacteristic
540C2×Dic86C2411yescharacteristic
541C2×Dic86C2411yescharacteristic
542C2×Dic86C2411yescharacteristic
543C2×Dic86C2411yescharacteristic
544D8×C43—22no—
545M16×C43—22no—
546C2×C8×C43—22no—
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C2×C8×C43C2411yescharacteristic
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43C2×D411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43C2×D411yescharacteristic
572C22⋊C4×C43C2×D411yescharacteristic
573C42×C43—21no—
574C42×C43—21no—
575C42×C43—21no—
576C42×C43C2411yescharacteristic
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43C2×D411yescharacteristic
589C22⋊Dic43C2×D411yescharacteristic
590C22⋊Dic43C2×D411yescharacteristic
591C22⋊Dic43C2×D411yescharacteristic
592#10621883—22no—
593#10621883—41no—
594#10621883—41no—
595#10621883—41no—
596#10621882—22no—
597#10621882—41no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4C2×D411yescharacteristic
613(C2×D43)⋊C4C2×D411yescharacteristic
614(C2×D43)⋊C4C2×D411yescharacteristic
615(C2×D43)⋊C4C2×D411yescharacteristic
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43C2×D411yescharacteristic
625C4⋊Dic43C2×D411yescharacteristic
626C4⋊Dic43C2×D411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43C2×D411yescharacteristic
665C4×Dic43C2×D411yescharacteristic
666C4×Dic43C2411yescharacteristic
667C4×Dic43C2411yescharacteristic
668C4×Dic43C2411yescharacteristic
669C2×C43⋊C8—41no—
670C2×C43⋊C8—41no—
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673C2×C43⋊C8C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675Dic172—22no—
676Dic172—22no—
677Dic172—22no—
678Dic172—41no—
679D344—22no—
680#10621873—22no—
681#10621873—22no—
682#10621873—41no—
683#10621873#4114yes—
684#10621872—22no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43C22×D411yescharacteristic
689C23×C43C22×D411yescharacteristic
690C22×D43—21no—
691C22×D43—21no—
692C22×D43—42no—
693C22×D43—81no—
694C22×D43—81no—
695C22×D43C22×D411yescharacteristic
696Q8×C43—81no—
697D4×C43—21no—
698D4×C43—21no—
699D4×C43—21no—
700D4×C43—21no—
701D4×C43—41no—
702D4×C43—81no—
703D4×C43—81no—
704D4×C43—81no—
705D4×C43—81no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—81no—
717C2×C4×C43—81no—
718C2×C4×C43—81no—
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C2511yescharacteristic
724C22⋊D43—41no—
725C22⋊D43—41no—
726C22⋊D43—42no—
727C22⋊D43—42no—
728C22⋊D43—42no—
729C22⋊D43—42no—
730C22⋊D43—42no—
731C22⋊D43—81no—
732C22⋊D43—81no—
733C22⋊D43—81no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—41no—
741C2×Dic43—41no—
742C2×Dic43—42no—
743C2×Dic43—42no—
744C2×Dic43—81no—
745C2×Dic43—81no—
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753D172—21no—
754D172—21no—
755D172—21no—
756D172—81no—
757D172C2×#4112yes—
758C4×D43—21no—
759C4×D43—21no—
760C4×D43—42no—
761C4×D43—42no—
762C4×D43—42no—
763C4×D43—81no—
764C4×D43—81no—
765C4×D43—81no—
766C4×D43—81no—
767C4×D43—81no—
768C4×D43—81no—
769C4×D43—81no—
770Dic86—21no—
771Dic86—21no—
772Dic86—21no—
773Dic86—21no—
774Dic86—21no—
775Dic86—21no—
776Dic86—21no—
777Dic86—41no—
778Dic86—42no—
779Dic86—81no—
780Dic86C2×#4112yes—
781C8×C43—21no—
782C8×C43—21no—
783C8×C43—21no—
784C8×C43C2×#4112yes—
785C43⋊C8—21no—
786C43⋊C8—21no—
787C43⋊C8—21no—
788C43⋊C8—21no—
789#61500—431nomaximal, Sylow
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—21no—
794C22×C43—21no—
795C22×C43—21no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43—41no—
799C22×C43—41no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43C23×D411yescharacteristic
803C2×D43—21no—
804C2×D43—21no—
805C2×D43—22no—
806C2×D43—21no—
807C2×D43—41no—
808C2×D43—41no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—162no—
813C4×C43—21no—
814C4×C43—21no—
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—41no—
818C4×C43—41no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43C22×#4111yescharacteristic
824C4×C43#58511yescharacteristic
825Dic43—21no—
826Dic43—21no—
827Dic43—21no—
828Dic43—21no—
829Dic43—21no—
830Dic43—21no—
831Dic43—22no—
832Dic43—21no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43—41no—
838#3524—431no—
839#3521—431no—
840#3401—431no—
841#3388—431no—
842#3364—431no—
843#3361—431no—
844#3351—431no—
845#3349—431no—
846#3347D4311yescharacteristic, complemented
847#3304—431no—
848#3303—431no—
849#3301—431no—
850#3300—431no—
851#3297—431no—
852#3296—431no—
853#3275—431no—
854#3269—431no—
855#3268—431no—
856#3179—431no—
857#3178—431no—
858#3168—431no—
859#3121—431no—
860#3120—431no—
861#3119—431no—
862#3118—431no—
863#3111—431no—
864#3111—431no—
865#2966—431no—
866#2947—431no—
867#2946—431no—
868C4×#135—431no—
869C2×C43—41no—
870C2×C43—41no—
871C2×C43—81no—
872C2×C43—81no—
873C2×C43D4×#4111yescharacteristic
874C2×C43#358411yescharacteristic
875C2×C43#358411yescharacteristic
876D43—41no—
877D43—42no—
878D43—81no—
879C2×#137—431no—
880C2×AGL(1,ℤ/8)—431no—
881C2×#135—431no—
882#559—431no—
883#559—861no—
884#557—431no—
885#556—431no—
886#556—431no—
887#555—861no—
888#555C2×D4311yescharacteristic, complemented
889#554—431no—
890#553—431no—
891#553—861no—
892#553—861no—
893#553C2×D4311yescharacteristic
894#552—431no—
895#552—431no—
896#552—861no—
897#552—861no—
898#551—861no—
899#551—861no—
900#550—431no—
901#548—431no—
902#548—431no—
903#547—431no—
904#546—431no—
905#546—431no—
906#542—431no—
907#542—431no—
908#542—861no—
909#541—431no—
910#540—431no—
911#540—861no—
912#539—861no—
913#538—861no—
914#529—431no—
915#529—431no—
916#529—431no—
917#529—861no—
918#529—861no—
919#529—861no—
920C2×#126—861no—
921#520—431no—
922#520—431no—
923#519—431no—
924#518—431no—
925C4×#41—431no—
926C4×#41—431no—
927#501—431no—
928#501C2×D4311yescharacteristic, complemented
929#499—431no—
930#497—431no—
931#496—431no—
932#495—431no—
933#488—431no—
934#488—431no—
935#488—431no—
936#488—431no—
937#487—431no—
938#486—431no—
939#485—431no—
940#485—431no—
941#485—431no—
942#485—431no—
943#484—431no—
944#483—431no—
945#482—431no—
946#482C2×D4311yescharacteristic
947#482C2×D4311yescharacteristic
948#482C2×D4311yescharacteristic, complemented
949#481—431no—
950#480C2×D4311yescharacteristic, complemented
951#479—431no—
952#479—431no—
953#479—431no—
954#479—431no—
955#478—431no—
956#478—431no—
957#478—431no—
958#478C2×D4311yescharacteristic, complemented
959#477—431no—
960#476—431no—
961#475—431no—
962#474C2×D4311yescharacteristic
963#470—431no—
964#469C2×D4311yescharacteristic
965#468—431no—
966#468—431no—
967#467—431no—
968#467—431no—
969#466—431no—
970#466C2×D4311yescharacteristic
971#465—431no—
972#465—431no—
973#465—431no—
974#465—431no—
975#464—431no—
976#464—431no—
977#464—431no—
978#464—431no—
979#463—431no—
980#463—431no—
981#463—431no—
982#463—431no—
983#462—431no—
984#461—431no—
985#460—431no—
986#459—431no—
987#452—431no—
988#452—431no—
989#452—431no—
990#452—431no—
991#451—431no—
992#450—431no—
993#449—431no—
994#449—431no—
995#449—431no—
996#449—431no—
997#448—431no—
998#447—431no—
999#446—431no—
1000C8×Q8—431no—
1001#442—431no—
1002#442—431no—
1003#442C2×D4311yescharacteristic
1004#441—431no—
1005#441—431no—
1006#441—431no—
1007#440—431no—
1008#440—431no—
1009#440—431no—
1010#440—431no—
1011#440—431no—
1012#440—431no—
1013C4×Q16—431no—
1014C4×Q16—431no—
1015C4×Q16—431no—
1016C4×Q16—431no—
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16—431no—
1020C4×SD16—431no—
1021C4×SD16—431no—
1022C4×SD16—431no—
1023C4×SD16—431no—
1024C4×SD16—431no—
1025C4×D8—431no—
1026C4×D8—431no—
1027C4×D8—431no—
1028C4×D8—431no—
1029#436—431no—
1030#435—431no—
1031#435C2×D4311yescharacteristic, complemented
1032C8×D4—431no—
1033C8×D4—431no—
1034C8×D4—431no—
1035#433—431no—
1036#433—431no—
1037#432—431no—
1038#428—431no—
1039#428C2×D4311yescharacteristic, complemented
1040#427C2×D4311yescharacteristic, complemented
1041#416—431no—
1042#416—431no—
1043#416—431no—
1044#416—431no—
1045C2×#103—431no—
1046C2×#102—431no—
1047#405—431no—
1048#405—431no—
1049C2×C4×C8—431no—
1050C43#6150011yescharacteristic, complemented, Sylow
1051C2×#41—431no—
1052C2×#41—431no—
1053C2×#41—431no—
1054C2×#41—431no—
1055C22×Q8—431no—
1056C22×D4—431no—
1057#137—864no—
1058AGL(1,ℤ/8)—864no—
1059#135—864no—
1060C2×Q16—431no—
1061C2×Q16—431no—
1062C2×Q16—431no—
1063C2×Q16—431no—
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—431no—
1068C2×SD16—431no—
1069C2×SD16—431no—
1070C2×SD16—431no—
1071C2×SD16—431no—
1072C2×D8—431no—
1073C2×D8—431no—
1074C2×D8—431no—
1075C2×D8C22×D4311yescharacteristic
1076C2×M16—431no—
1077C2×M16C22×D4311yescharacteristic
1078C22×C8—431no—
1079C22×C8—431no—
1080C22×C8—431no—
1081C22×C8C22×D4311yescharacteristic
1082C4⋊Q8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—861no—
1085C4⋊Q8C22×D4311yescharacteristic
1086#127—431no—
1087#127—861no—
1088#126—21no—
1089#126—431no—
1090#126—431no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#125—431no—
1105#125—431no—
1106#125—431no—
1107#125—431no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125—861no—
1114#125C22×D4311yescharacteristic
1115#124—21no—
1116#124—21no—
1117#124—431no—
1118#124—431no—
1119#124—431no—
1120#124—431no—
1121#124—431no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#123—21no—
1129#123—431no—
1130#123—431no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146C22⋊Q8—431no—
1147C22⋊Q8—431no—
1148C22⋊Q8—431no—
1149C22⋊Q8—431no—
1150C22⋊Q8—431no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161#121—21no—
1162#121—21no—
1163#121—431no—
1164#121—431no—
1165#121—431no—
1166#121—861no—
1167#121—861no—
1168#121—861no—
1169#121—861no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121C22×D4311yescharacteristic
1177#121C22×D4311yescharacteristic
1178#121C22×D4311yescharacteristic
1179#121C22×D4311yescharacteristic
1180#120—861no—
1181#120—861no—
1182C4×Q8—431no—
1183C4×Q8—431no—
1184C4×Q8—431no—
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—431no—
1191C4×Q8—431no—
1192C4×Q8—431no—
1193C4×Q8—861no—
1194C4×Q8—861no—
1195C4×Q8—861no—
1196C4×Q8—861no—
1197C4×D4—21no—
1198C4×D4—431no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4C22×D4311yescharacteristic
1226C4×D4C22×D4311yescharacteristic
1227C4×D4C22×D4311yescharacteristic
1228#117—21no—
1229#117—431no—
1230#117—431no—
1231#117—431no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117C22×D4311yescharacteristic
1244#117C22×D4311yescharacteristic
1245#117C22×D4311yescharacteristic
1246C2×C4⋊C4—431no—
1247C2×C4⋊C4—861no—
1248C2×C4⋊C4—861no—
1249C2×C4⋊C4—861no—
1250C2×C4⋊C4—861no—
1251C2×C4⋊C4C22×D4311yescharacteristic
1252C2×C22⋊C4—861no—
1253C2×C22⋊C4—861no—
1254C2×C22⋊C4—861no—
1255C2×C22⋊C4—861no—
1256C2×C42—431no—
1257C2×C42—861no—
1258C2×C42—861no—
1259#107—431no—
1260#107—431no—
1261#107—431no—
1262#107C22×D4311yescharacteristic
1263#107C22×D4311yescharacteristic
1264#107C22×D4311yescharacteristic
1265#107C22×D4311yescharacteristic
1266#107C22×D4311yescharacteristic
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106C22×D4311yescharacteristic
1272#106C22×D4311yescharacteristic
1273#106C22×D4311yescharacteristic
1274#106C22×D4311yescharacteristic
1275C4⋊C8—431no—
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8—431no—
1279C4⋊C8—431no—
1280C4⋊C8C22×D4311yescharacteristic
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#102—431no—
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102C22×D4311yescharacteristic
1308#102C22×D4311yescharacteristic
1309#102C22×D4311yescharacteristic
1310#102C22×D4311yescharacteristic
1311#102C22×D4311yescharacteristic
1312#102C22×D4311yescharacteristic
1313C22⋊C8—431no—
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8—431no—
1317C22⋊C8C22×D4311yescharacteristic
1318C22⋊C8C22×D4311yescharacteristic
1319#97—431no—
1320#97—431no—
1321#97—431no—
1322#97C22×D4311yescharacteristic
1323C4×C8—431no—
1324C4×C8—431no—
1325C4×C8—431no—
1326C4×C8—431no—
1327C4×C8—431no—
1328C4×C8—431no—
1329C24—861no—
1330#41—862no—
1331#41—862no—
1332#41—862no—
1333#41—862no—
1334#41—1721no—
1335#41—1721no—
1336#41—1721no—
1337#41—1721no—
1338C2×Q8—21no—
1339C2×Q8—431no—
1340C2×Q8—431no—
1341C2×Q8—431no—
1342C2×Q8—431no—
1343C2×Q8—431no—
1344C2×Q8—861no—
1345C2×Q8—862no—
1346C2×Q8—861no—
1347C2×Q8—1721no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—431no—
1355C2×D4—431no—
1356C2×D4—861no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4—862no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—1721no—
1367C2×D4D4×D4311yescharacteristic
1368C2×D4C23×D4311yescharacteristic
1369C2×D4C23×D4311yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—431no—
1374C22×C4—431no—
1375C22×C4—431no—
1376C22×C4—861no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4—861no—
1384C22×C4—861no—
1385C22×C4—861no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4C23×D4311yescharacteristic
1391C22×C4C23×D4311yescharacteristic
1392Q16—862no—
1393Q16—862no—
1394Q16—862no—
1395Q16—1721no—
1396SD16—434no—
1397SD16—862no—
1398SD16—862no—
1399SD16—862no—
1400SD16—1721no—
1401SD16—1721no—
1402SD16—1721no—
1403SD16—1721no—
1404D8—22no—
1405D8—862no—
1406D8—862no—
1407D8—1721no—
1408M16—22no—
1409M16—862no—
1410C2×C8—22no—
1411C2×C8—431no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—431no—
1415C2×C8—1721no—
1416C2×C8—1721no—
1417C2×C8—1721no—
1418C2×C8C23×D4311yescharacteristic
1419C2×C8C23×D4311yescharacteristic
1420C2×C8C23×D4311yescharacteristic
1421C2×C8C23×D4311yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
1433C4⋊C4—431no—
1434C4⋊C4—431no—
1435C4⋊C4—431no—
1436C4⋊C4—431no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4D4×D4311yescharacteristic
1464C4⋊C4C23×D4311yescharacteristic
1465C4⋊C4C23×D4311yescharacteristic
1466C4⋊C4C23×D4311yescharacteristic
1467C4⋊C4C23×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—431no—
1486C22⋊C4—431no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4D4×D4311yescharacteristic
1513C22⋊C4D4×D4311yescharacteristic
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—431no—
1518C42—431no—
1519C42—431no—
1520C42—431no—
1521C42—431no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42C23×D4311yescharacteristic
1534C23—21no—
1535C23—21no—
1536C23—431no—
1537C23—861no—
1538C23—861no—
1539C23—3441no—
1540C23—3441no—
1541C23—1722no—
1542C23C2×D4×D4311yescharacteristic
1543C23C2×D4×D4311yescharacteristic
1544Q8—81no—
1545Q8—432no—
1546Q8—861no—
1547Q8—861no—
1548Q8—861no—
1549Q8—861no—
1550Q8—861no—
1551Q8—861no—
1552Q8—861no—
1553Q8—3441no—
1554Q8—1721no—
1555Q8—1722no—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—41no—
1561D4—81no—
1562D4—81no—
1563D4—81no—
1564D4—81no—
1565D4—432no—
1566D4—861no—
1567D4—861no—
1568D4—861no—
1569D4—3441no—
1570D4—3441no—
1571D4—3441no—
1572D4—3441no—
1573D4—1721no—
1574D4—1721no—
1575D4—1722no—
1576D4—1722no—
1577D4—1722no—
1578D4—1722no—
1579D4—1722no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—81no—
1591C2×C4—81no—
1592C2×C4—81no—
1593C2×C4—431no—
1594C2×C4—431no—
1595C2×C4—431no—
1596C2×C4—431no—
1597C2×C4—431no—
1598C2×C4—431no—
1599C2×C4—431no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—3441no—
1609C2×C4—3441no—
1610C2×C4—3441no—
1611C2×C4—3441no—
1612C2×C4—3441no—
1613C2×C4—3441no—
1614C2×C4—3441no—
1615C2×C4—3441no—
1616C2×C4—3441no—
1617C2×C4—1722no—
1618C2×C4—1722no—
1619C2×C4—1722no—
1620C2×C4—1721no—
1621C2×C4—1721no—
1622C2×C4—1722no—
1623C2×C4—1722no—
1624C2×C4C2×D4×D4311yescharacteristic
1625C2×C4C2×D4×D4311yescharacteristic
1626C2×C4C2×D4×D4311yescharacteristic
1627C2×C4C2×D4×D4311yescharacteristic
1628C2×C4C24×D4311yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—861no—
1633C8—861no—
1634C8—861no—
1635C8—861no—
1636C8#41×D4312yes—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—861no—
1650C22—862no—
1651C22—861no—
1652C22—861no—
1653C22—1721no—
1654C22—1721no—
1655C22—1721no—
1656C22—1721no—
1657C22—1721no—
1658C22—6882no—
1659C22C22×D4×D4311yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—861no—
1671C4—862no—
1672C4—861no—
1673C4—861no—
1674C4—861no—
1675C4—861no—
1676C4—861no—
1677C4—861no—
1678C4—1721no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4C2×#41×D4311yescharacteristic
1684C4#1458373611yescharacteristic
1685C2—41no—
1686C2—41no—
1687C2—81no—
1688C2—81no—
1689C2—3441no—
1690C2—1721no—
1691C2—1722no—
1692C2#1914808211yescharacteristic
1693C2#1914936311yescharacteristic
1694C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3347C2
socleC22×C43C23×D4
hypercenter#3347D43
hypocenterC43#61500
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #19148695C2semidirect
2. #19148658C2semidirect
3. #19147666C2semidirect
4. #19147535C2semidirect
5. #19147279C2semidirect
6. #19147258C2semidirect
7. #19147151C2semidirect
8. #19147121C2semidirect
9. #19146532C2semidirect
10. #19146517C2semidirect
11. #19146491C2semidirect
12. #19146480C2semidirect
13. #19146448C2semidirect
14. #19146433C2semidirect
15. #19146233C2semidirect
16. #19146155C2semidirect
17. #19146132C2semidirect
18. #19145279C2semidirect
19. #19145268C2semidirect
20. #19145160C2semidirect
21. #19144819C2semidirect
22. #19144814C2semidirect
23. #19144797C2semidirect
24. #19144786C2semidirect
25. #19144699C2semidirect
26. #19144699C2semidirect
27. #19143565C2semidirect
28. #19143436C2semidirect
29. #19143424C2semidirect
30. #19143366C2semidirect
31. C43×#3347C2semidirect
35. #14583632C22semidirect
37. #14583624C22semidirect
52. #14583558C22semidirect
61. #14583502C22semidirect
67. #14583430C22semidirect
74. #14583376C22semidirect
77. #14583367C22semidirect
78. #14583306C22semidirect
79. #14583300C22semidirect
80. #14583293C22semidirect
83. #14583256C22semidirect
86. #14583252C22semidirect
87. #14583251C22semidirect
88. #14583244C22semidirect
90. #14583240C22semidirect
91. #14583240C22semidirect
92. #14583240C22semidirect
96. #14583217C22semidirect
97. #14583205C22semidirect
98. #14583205C22semidirect
99. #14583205C22semidirect
100. #14583203C22semidirect
103. #14583198C22semidirect
104. #14583193C22semidirect
106. #14583183C22semidirect
109. #14583145C22semidirect
111. #14583140C22semidirect
115. #14583126C22semidirect
116. #14583126C22semidirect
120. #14583120C22semidirect
125. #14583110C22semidirect
126. #14583104C22semidirect
127. #14583098C22semidirect
130. #14583063C22semidirect
133. #14583057C22semidirect
141. #14583027C22semidirect
142. #14583023C22semidirect
145. #14583005C22semidirect
146. #14583005C22semidirect
147. #14583005C22semidirect
151. #14582998C22semidirect
153. #14582996C22semidirect
154. #14582993C22semidirect
155. #14582993C22semidirect
156. #14582993C22semidirect
157. #14582993C22semidirect
159. #14582990C22semidirect
163. #14582986C22semidirect
164. #14582986C22semidirect
172. D4×C43⋊C8C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
181. #14582893C22semidirect
183. C2×#13063248C22semidirect
185. #14582857C22semidirect
187. C2×C8×Dic43C22semidirect
188. C43×#555C22semidirect
190. C43×#501C22semidirect
193. C43×#482C22semidirect
194. C43×#480C22semidirect
195. C43×#478C22semidirect
200. C43×#435C22semidirect
201. C43×#428C22semidirect
202. C43×#427C22semidirect
846. #3347D43semidirect
888. #555C2×D43semidirect
928. #501C2×D43semidirect
948. #482C2×D43semidirect
950. #480C2×D43semidirect
958. #478C2×D43semidirect
1031. #435C2×D43semidirect
1039. #428C2×D43semidirect
1040. #427C2×D43semidirect
1050. C43#61500semidirect

Maximal subgroups

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

subgroupindex
#191486952
#191486582
#191476662
#191475352
#191472792
#191472582
#191471512
#191471212
#191465322
#191465172
#191464912
#191464802
#191464482
#191464332
#191462332
#191461552
#191461322
#191452792
#191452682
#191451602
#191448192
#191448142
#191447972
#191447862
#191446992
#191435652
#191434362
#191434242
#191433662
C43×#33472
#6150043