Finite Group Databasebeta

← #25979647

Subgroups — #25979647

Order 11008.

1800 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148668C211yesmaximal, characteristic, complemented
2#19148658C211yesmaximal, characteristic, complemented
3#19147675C211yesmaximal, characteristic, complemented
4#19147550C211yesmaximal, characteristic, complemented
5#19147247C211yesmaximal, characteristic, complemented
6#19147243C211yesmaximal, characteristic, complemented
7#19147166C211yesmaximal, characteristic, complemented
8#19147136C211yesmaximal, characteristic, complemented
9#19146510C211yesmaximal, characteristic, complemented
10#19146506C211yesmaximal, characteristic, complemented
11#19146448C211yesmaximal, characteristic, complemented
12#19146439C211yesmaximal, characteristic, complemented
13#19146433C211yesmaximal, characteristic, complemented
14#19146428C211yesmaximal, characteristic, complemented
15#19146203C211yesmaximal, characteristic, complemented
16#19146125C211yesmaximal, characteristic, complemented
17#19146117C211yesmaximal, characteristic, complemented
18#19145268C211yesmaximal, characteristic, complemented
19#19145256C211yesmaximal, characteristic, complemented
20#19145158C211yesmaximal, characteristic, complemented
21#19144816C211yesmaximal, characteristic, complemented
22#19144812C211yesmaximal, characteristic, complemented
23#19144784C211yesmaximal, characteristic, complemented
24#19144774C211yesmaximal, characteristic, complemented
25#19144707C211yesmaximal, characteristic, complemented
26#19144699C211yesmaximal, characteristic, complemented
27#19143565C211yesmaximal, characteristic, complemented
28#19143426C211yesmaximal, characteristic, complemented
29#19143425C211yesmaximal, characteristic, complemented
30#19143366C211yesmaximal, characteristic, complemented
31C43×#3350C211yesmaximal, characteristic, complemented
32C2×#13063353C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C2×#13063347C2211yescharacteristic
35#14583621C2211yescharacteristic, complemented
36#14583619C2211yescharacteristic, complemented
37#14583617C2211yescharacteristic, complemented
38#14583610C2211yescharacteristic, complemented
39#14583605C2211yescharacteristic, complemented
40#14583600—21no—
41#14583596—21no—
42#14583593C2211yescharacteristic
43#14583590—21no—
44#14583588C2211yescharacteristic
45#14583585—21no—
46#14583584C2211yescharacteristic
47#14583579—21no—
48#14583578—21no—
49#14583574—21no—
50#14583572—21no—
51#14583554C2211yescharacteristic
52#14583551C2211yescharacteristic
53#14583546C2211yescharacteristic
54#14583546C2211yescharacteristic, complemented
55#14583545C2211yescharacteristic, complemented
56#14583540C2211yescharacteristic
57#14583523C2211yescharacteristic
58#14583516C2211yescharacteristic
59#14583512C2211yescharacteristic, complemented
60#14583509C2211yescharacteristic, complemented
61#14583492—21no—
62#14583490—21no—
63#14583483—21no—
64#14583481—21no—
65#14583436—21no—
66#14583435C2211yescharacteristic, complemented
67#14583431—21no—
68#14583430C2211yescharacteristic, complemented
69#14583429C2211yescharacteristic
70#126×D43—21no—
71#126×D43—21no—
72#14583381C2211yescharacteristic
73#14583380C2211yescharacteristic
74#14583373C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic, complemented
76#14583367C2211yescharacteristic, complemented
77#14583367C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583299C2211yescharacteristic, complemented
80#14583293C2211yescharacteristic, complemented
81#14583290C2211yescharacteristic, complemented
82#14583280C2211yescharacteristic
83#14583256C2211yescharacteristic, complemented
84#14583255C2211yescharacteristic, complemented
85#14583252C2211yescharacteristic, complemented
86#14583252C2211yescharacteristic, complemented
87#14583251C2211yescharacteristic, complemented
88#14583248C2211yescharacteristic, complemented
89#14583243C2211yescharacteristic, complemented
90#14583240C2211yescharacteristic, complemented
91#14583240C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583234C2211yescharacteristic, complemented
94#14583231C2211yescharacteristic, complemented
95#14583225C2211yescharacteristic
96#14583223C2211yescharacteristic, complemented
97#14583209C2211yescharacteristic, complemented
98#14583209C2211yescharacteristic, complemented
99#14583205C2211yescharacteristic, complemented
100#14583202C2211yescharacteristic, complemented
101#14583198C2211yescharacteristic, complemented
102#14583198C2211yescharacteristic, complemented
103#14583196C2211yescharacteristic, complemented
104#14583188C2211yescharacteristic, complemented
105#14583178C2211yescharacteristic, complemented
106#14583176C2211yescharacteristic, complemented
107#14583158C2211yescharacteristic, complemented
108#14583157C2211yescharacteristic, complemented
109#14583146C2211yescharacteristic
110#14583141C2211yescharacteristic, complemented
111#14583138C2211yescharacteristic, complemented
112#14583138C2211yescharacteristic, complemented
113#14583133C2211yescharacteristic
114#14583129C2211yescharacteristic
115#14583128C2211yescharacteristic, complemented
116#14583126C2211yescharacteristic
117#14583124C2211yescharacteristic, complemented
118#14583120C2211yescharacteristic, complemented
119#14583117C2211yescharacteristic
120#14583115C2211yescharacteristic
121#14583114C2211yescharacteristic
122#14583113C2211yescharacteristic
123#14583113C2211yescharacteristic
124#14583113C2211yescharacteristic
125#14583109C2211yescharacteristic, complemented
126#14583108C2211yescharacteristic, complemented
127#14583105C2211yescharacteristic, complemented
128#14583103C2211yescharacteristic, complemented
129#14583064C2211yescharacteristic
130#14583064C2211yescharacteristic
131#14583063C2211yescharacteristic
132#14583063C2211yescharacteristic, complemented
133#14583059C2211yescharacteristic
134#14583059C2211yescharacteristic, complemented
135#14583052C2211yescharacteristic, complemented
136#14583051C2211yescharacteristic, complemented
137#14583046C2211yescharacteristic
138#14583042C2211yescharacteristic
139#14583034C2211yescharacteristic
140#14583032C2211yescharacteristic
141#14583027C2211yescharacteristic, complemented
142#14583023C2211yescharacteristic, complemented
143#14583012C2211yescharacteristic
144#14583010C2211yescharacteristic
145#14583010C2211yescharacteristic
146#14583008C2211yescharacteristic
147#14583005C2211yescharacteristic, complemented
148#14583003C2211yescharacteristic, complemented
149#14583002C2211yescharacteristic, complemented
150#14582998C2211yescharacteristic, complemented
151#14582998C2211yescharacteristic, complemented
152#14582998C2211yescharacteristic, complemented
153#14582996C2211yescharacteristic, complemented
154#14582993C2211yescharacteristic, complemented
155#14582993C2211yescharacteristic, complemented
156#14582991C2211yescharacteristic, complemented
157SD16×Dic43C2211yescharacteristic, complemented
158C4×#10621884C2211yescharacteristic, complemented
159#14582986C2211yescharacteristic, complemented
160#14582986C2211yescharacteristic, complemented
161#14582986C2211yescharacteristic, complemented
162#14582986C2211yescharacteristic, complemented
163#14582986C2211yescharacteristic, complemented
164#14582986C2211yescharacteristic, complemented
165#14582981C2211yescharacteristic
166#14582981C2211yescharacteristic
167#14582981C2211yescharacteristic
168C4×#10621882C2211yescharacteristic
169#14582979C2211yescharacteristic
170#14582975C2211yescharacteristic
171#14582970C2211yescharacteristic, complemented
172D4×C43⋊C8C2211yescharacteristic, complemented
173(C22⋊D43)⋊C8C2211yescharacteristic
174(C22⋊D43)⋊C8C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic, complemented
179#14582894C2211yescharacteristic
180#14582893C2211yescharacteristic
181#14582893C2211yescharacteristic, complemented
182#14582893C2211yescharacteristic, complemented
183C2×#13063245C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic, complemented
185#14582857C2211yescharacteristic, complemented
186#14582856C2211yescharacteristic, complemented
187C2×C8×Dic43C2211yescharacteristic, complemented
188C43×#556C2211yescharacteristic, complemented
189C43×#553C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#483C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic
194C43×#482C2211yescharacteristic, complemented
195C43×#479C2211yescharacteristic, complemented
196C43×#476C2211yescharacteristic, complemented
197C43×#468C2211yescharacteristic
198C43×#465C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C43×#427C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C2×#10621898C2311yescharacteristic
207C22×D172C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209#13063353—24no—
210#13063352—24no—
211#13063347—24no—
212C2×Dic172C2311yescharacteristic
213C2×Dic172C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C22×C43⋊C8C2311yescharacteristic
229C22×C43⋊C8C2311yescharacteristic
230C2×C8×D43C2311yescharacteristic
231#13063325C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063323C2311yescharacteristic
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320D411yescharacteristic
241#13063319—21no—
242#13063319—21no—
243#13063319—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318D411yescharacteristic
253#13063317—21no—
254#13063316—21no—
255#13063316—21no—
256#13063316—21no—
257#13063316C2311yescharacteristic
258#13063316C2311yescharacteristic
259#13063316C2311yescharacteristic
260#13063315—21no—
261#13063315—21no—
262#13063315D411yescharacteristic
263#13063314—21no—
264#13063314C2311yescharacteristic
265#13063313C2311yescharacteristic
266#13063312—21no—
267#13063312C2311yescharacteristic
268#13063312C2311yescharacteristic
269#13063311—21no—
270#13063311D411yescharacteristic
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063309—21no—
276#13063309D411yescharacteristic
277#13063308—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#13063306D411yescharacteristic
288#13063305—21no—
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#13063302D411yescharacteristic
302#13063301—21no—
303#13063301—21no—
304#13063301—21no—
305#13063300—21no—
306#13063300C2311yescharacteristic
307#13063299C2311yescharacteristic
308#13063298—21no—
309#13063298—21no—
310#13063298—21no—
311#13063297D411yescharacteristic
312#13063296—21no—
313#13063296—21no—
314#13063296—21no—
315#13063295—21no—
316#13063293—21no—
317#13063293—21no—
318#13063293—21no—
319Q8×Dic43C2311yescharacteristic
320C4×Dic86—21no—
321C4×Dic86C2311yescharacteristic
322#13063290C2311yescharacteristic
323#13063290C2311yescharacteristic
324#13063290C2311yescharacteristic
325#13063290C2311yescharacteristic
326#13063290C2311yescharacteristic
327#13063290C2311yescharacteristic
328C4×D172—21no—
329C4×D172—21no—
330C4×D172—21no—
331C4×D172—21no—
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334D4×Dic43—21no—
335D4×Dic43C2311yescharacteristic
336#13063287—21no—
337#13063287C2311yescharacteristic
338#13063287C2311yescharacteristic
339#13063287C2311yescharacteristic
340#13063287C2311yescharacteristic
341#13063287C2311yescharacteristic
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43C2311yescharacteristic
349C4×C22⋊D43C2311yescharacteristic
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356#13063284—21no—
357#13063284—21no—
358#13063284C2311yescharacteristic
359#13063283—21no—
360#13063283—21no—
361#13063283C2311yescharacteristic
362#13063282—21no—
363#13063282—21no—
364#13063282—21no—
365#13063282—21no—
366#13063282—21no—
367#13063282C2311yescharacteristic
368#13063281—21no—
369C4⋊C4×D43—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43C2311yescharacteristic
376C2×(C2×D43)⋊C4—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C2×C4×Dic43C2311yescharacteristic
385C42×D43—21no—
386C42×D43—21no—
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
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×SD16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#126×C43—21no—
444#126×C43—21no—
445#125×C43C2311yescharacteristic
446#124×C43—21no—
447#123×C43—21no—
448C22⋊Q8×C43C2311yescharacteristic
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43—21no—
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×Q8×C43—21no—
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43—21no—
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
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#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C2×Q8×C43—21no—
484C2×Q8×C43C2411yescharacteristic
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43C2×D411yescharacteristic
488C2×D4×C43C2411yescharacteristic
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43C2411yescharacteristic
492C22×C4×C43C2411yescharacteristic
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43C2×D411yescharacteristic
499C2×C22⋊D43C2×D411yescharacteristic
500C22×Dic43—21no—
501C22×Dic43C2×D411yescharacteristic
502C22×Dic43C2×D411yescharacteristic
503#10621902—22no—
504#10621902—41no—
505D4×D43—22no—
506D4×D43—41no—
507#10621898—22no—
508#10621898—22no—
509#10621898—22no—
510#10621898—41no—
511#10621898—41no—
512#10621898—41no—
513C2×D172—21no—
514C2×D172—21no—
515C2×D172—21no—
516C2×D172—22no—
517C2×D172—41no—
518C2×D172C2411yescharacteristic
519C2×D172C2411yescharacteristic
520C2×D172C2411yescharacteristic
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43C2411yescharacteristic
537C2×Dic86—21no—
538C2×Dic86C2×D411yescharacteristic
539C2×Dic86C2411yescharacteristic
540C2×Dic86C2411yescharacteristic
541C2×Dic86C2411yescharacteristic
542SD16×C43—22no—
543M16×C43—22no—
544C2×C8×C43—22no—
545C2×C8×C43C2411yescharacteristic
546C2×C8×C43C2411yescharacteristic
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43C2×D411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
577C42×C43C2411yescharacteristic
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⋊Dic43C2×D411yescharacteristic
587C22⋊Dic43C2×D411yescharacteristic
588C22⋊Dic43C2×D411yescharacteristic
589C22⋊Dic43C2×D411yescharacteristic
590#10621885—41no—
591#10621885—41no—
592#10621884—22no—
593#10621883—41no—
594#10621882—22no—
595#10621882—41no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43C2×D411yescharacteristic
630C4⋊Dic43C2×D411yescharacteristic
631C4⋊Dic43C2×D411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
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—41no—
677D344—22no—
678D344#4114yes—
679#10621873—22no—
680#10621873—22no—
681#10621873—22no—
682#10621873—22no—
683#10621873—41no—
684#10621872—22no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43C22×D411yescharacteristic
688C23×C43C22×D411yescharacteristic
689C22×D43—21no—
690C22×D43—21no—
691C22×D43—21no—
692C22×D43—42no—
693C22×D43—42no—
694C22×D43—81no—
695C22×D43—81no—
696C22×D43—81no—
697C22×D43—81no—
698C22×D43C22×D411yescharacteristic
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—81no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—41no—
705D4×C43—81no—
706D4×C43—81no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—81no—
719C2×C4×C43—81no—
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C2511yescharacteristic
725C22⋊D43—41no—
726C22⋊D43—41no—
727C22⋊D43—42no—
728C22⋊D43—42no—
729C22⋊D43—42no—
730C22⋊D43—42no—
731C22⋊D43—81no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—41no—
738C2×Dic43—41no—
739C2×Dic43—81no—
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747D172—21no—
748D172—21no—
749D172—21no—
750D172—21no—
751D172—42no—
752D172—42no—
753D172—81no—
754D172C2×#4112yes—
755D172C2×#4112yes—
756C4×D43—21no—
757C4×D43—21no—
758C4×D43—42no—
759C4×D43—42no—
760C4×D43—42no—
761C4×D43—42no—
762C4×D43—81no—
763C4×D43—81no—
764C4×D43—81no—
765C4×D43—81no—
766C4×D43—81no—
767C4×D43—81no—
768C4×D43—81no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773Dic86—21no—
774Dic86—21no—
775Dic86—21no—
776Dic86—21no—
777Dic86—21no—
778Dic86—21no—
779Dic86—41no—
780Dic86—81no—
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#61501—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×C43C23×D411yescharacteristic
800C2×D43—21no—
801C2×D43—21no—
802C2×D43—22no—
803C2×D43—22no—
804C2×D43—21no—
805C2×D43—41no—
806C2×D43—41no—
807C2×D43—41no—
808C2×D43—41no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—162no—
813C2×D43—162no—
814C4×C43—21no—
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—21no—
818C4×C43—41no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43—41no—
824C4×C43—41no—
825C4×C43C22×#4111yescharacteristic
826C4×C43#58511yescharacteristic
827Dic43—21no—
828Dic43—21no—
829Dic43—21no—
830Dic43—21no—
831Dic43—21no—
832Dic43—21no—
833Dic43—21no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43—41no—
838Dic43—41no—
839#3521—431no—
840#3521—431no—
841#3402—431no—
842#3389—431no—
843#3360—431no—
844#3360—431no—
845#3352—431no—
846#3350—431no—
847#3350D4311yescharacteristic, complemented
848#3302—431no—
849#3302—431no—
850#3297—431no—
851#3297—431no—
852#3296—431no—
853#3296—431no—
854#3273—431no—
855#3267—431no—
856#3267—431no—
857#3178—431no—
858#3178—431no—
859#3168—431no—
860#3120—431no—
861#3120—431no—
862#3118—431no—
863#3118—431no—
864#3111—431no—
865#3111—431no—
866#2966—431no—
867#2946—431no—
868#2946—431no—
869C4×#135—431no—
870C2×C43—41no—
871C2×C43—41no—
872C2×C43—81no—
873C2×C43D4×#4111yescharacteristic
874C2×C43#358411yescharacteristic
875C2×C43#358411yescharacteristic
876D43—41no—
877D43—42no—
878D43—42no—
879D43—81no—
880C2×AGL(1,ℤ/8)—431no—
881C2×AGL(1,ℤ/8)—431no—
882C2×#135—431no—
883#556—431no—
884#556—431no—
885#556—431no—
886#556C2×D4311yescharacteristic, complemented
887#554—431no—
888#554—431no—
889#553—431no—
890#553—861no—
891#553—861no—
892#553C2×D4311yescharacteristic
893#552—431no—
894#552—431no—
895#552—861no—
896#552—861no—
897#551—861no—
898#551—861no—
899#551—861no—
900#551—861no—
901#547—431no—
902#547—431no—
903#546—431no—
904#546—431no—
905#546—431no—
906#546—431no—
907#542—431no—
908#542—431no—
909#541—431no—
910#541—431no—
911#539—861no—
912#539—861no—
913#538—861no—
914#538—861no—
915#529—431no—
916#529—431no—
917#529—431no—
918#529—861no—
919#529—861no—
920C2×#126—861no—
921C2×#126—861no—
922#520—431no—
923#520—431no—
924#518—431no—
925#518—431no—
926C4×#41—431no—
927C4×#41—431no—
928#501—431no—
929#501C2×D4311yescharacteristic, complemented
930#499—431no—
931#497—431no—
932#497—431no—
933#495—431no—
934#488—431no—
935#488—431no—
936#488—431no—
937#488—431no—
938#487—431no—
939#487—431no—
940#485—431no—
941#485—431no—
942#485—431no—
943#485C2×D4311yescharacteristic, complemented
944#484—431no—
945#484—431no—
946#483—431no—
947#483C2×D4311yescharacteristic, complemented
948#482—431no—
949#482—431no—
950#482C2×D4311yescharacteristic
951#482C2×D4311yescharacteristic, complemented
952#479—431no—
953#479—431no—
954#479—431no—
955#479C2×D4311yescharacteristic, complemented
956#478—431no—
957#478—431no—
958#478—431no—
959#478—431no—
960#476—431no—
961#476C2×D4311yescharacteristic, complemented
962#474—431no—
963#474—431no—
964#470—431no—
965#470—431no—
966#468—431no—
967#468C2×D4311yescharacteristic
968#467—431no—
969#467—431no—
970#467—431no—
971#466—431no—
972#465—431no—
973#465—431no—
974#465—431no—
975#465C2×D4311yescharacteristic, complemented
976#464—431no—
977#464—431no—
978#463—431no—
979#463—431no—
980#463—431no—
981#463—431no—
982#463—431no—
983#463—431no—
984#462—431no—
985#462—431no—
986#461—431no—
987#461—431no—
988#452—431no—
989#452—431no—
990#452—431no—
991#452—431no—
992#452—431no—
993#452—431no—
994#450—431no—
995#450—431no—
996#449—431no—
997#449—431no—
998#447—431no—
999#447—431no—
1000#446—431no—
1001C8×Q8—431no—
1002#442—431no—
1003#442—431no—
1004#442—431no—
1005#442—431no—
1006#441—431no—
1007#441—431no—
1008#440—431no—
1009#440—431no—
1010#440—431no—
1011#440—431no—
1012#440—431no—
1013#440C2×D4311yescharacteristic, complemented
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—
1029C4×D8—431no—
1030#436—431no—
1031#435—431no—
1032#435C2×D4311yescharacteristic, complemented
1033C8×D4—431no—
1034C8×D4—431no—
1035C8×D4—431no—
1036#433—431no—
1037#433—431no—
1038#432—431no—
1039#428—431no—
1040#428C2×D4311yescharacteristic, complemented
1041#427C2×D4311yescharacteristic, complemented
1042#416—431no—
1043#416—431no—
1044#416—431no—
1045#416—431no—
1046C2×#102—431no—
1047C2×#102—431no—
1048#405—431no—
1049#405—431no—
1050C2×C4×C8—431no—
1051C43#6150111yescharacteristic, complemented, Sylow
1052C2×#41—431no—
1053C2×#41—431no—
1054C2×#41—431no—
1055C2×#41—431no—
1056C22×D4—431no—
1057C22×D4—431no—
1058AGL(1,ℤ/8)—864no—
1059AGL(1,ℤ/8)—864no—
1060#135—864no—
1061C2×Q16—431no—
1062C2×Q16—431no—
1063C2×Q16—431no—
1064C2×Q16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—431no—
1068C2×SD16—431no—
1069C2×SD16—431no—
1070C2×SD16—431no—
1071C2×SD16—431no—
1072C2×SD16C22×D4311yescharacteristic
1073C2×D8—431no—
1074C2×D8—431no—
1075C2×D8—431no—
1076C2×D8—431no—
1077C2×M16—431no—
1078C2×M16C22×D4311yescharacteristic
1079C22×C8—431no—
1080C22×C8—431no—
1081C22×C8—431no—
1082C22×C8C22×D4311yescharacteristic
1083C4⋊Q8—431no—
1084C4⋊Q8—431no—
1085C4⋊Q8—431no—
1086C4⋊Q8C22×D4311yescharacteristic
1087#126—21no—
1088#126—21no—
1089#126—21no—
1090#126—431no—
1091#126—431no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#125—431no—
1110#125—431no—
1111#125—431no—
1112#125—431no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125C22×D4311yescharacteristic
1120#124—21no—
1121#124—431no—
1122#124—431no—
1123#124—431no—
1124#124—431no—
1125#124—431no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#123—21no—
1130#123—431no—
1131#123—431no—
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—
1146#123—861no—
1147C22⋊Q8—431no—
1148C22⋊Q8—431no—
1149C22⋊Q8—431no—
1150C22⋊Q8—431no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8C22×D4311yescharacteristic
1165C22⋊Q8C22×D4311yescharacteristic
1166#121—21no—
1167#121—431no—
1168#121—431no—
1169#121—431no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121C22×D4311yescharacteristic
1178#121C22×D4311yescharacteristic
1179#120—861no—
1180#120—861no—
1181#120—861no—
1182#120—861no—
1183C4×Q8—21no—
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—861no—
1193C4×Q8C22×D4311yescharacteristic
1194C4×D4—21no—
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
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×D4C22×D4311yescharacteristic
1224C4×D4C22×D4311yescharacteristic
1225#117—431no—
1226#117—431no—
1227#117—431no—
1228#117—861no—
1229#117—861no—
1230#117—861no—
1231#117—861no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117C22×D4311yescharacteristic
1239#117C22×D4311yescharacteristic
1240#117C22×D4311yescharacteristic
1241C2×C4⋊C4—431no—
1242C2×C4⋊C4—861no—
1243C2×C4⋊C4—861no—
1244C2×C4⋊C4—861no—
1245C2×C4⋊C4—861no—
1246C2×C4⋊C4—861no—
1247C2×C4⋊C4—861no—
1248C2×C4⋊C4C22×D4311yescharacteristic
1249C2×C22⋊C4—861no—
1250C2×C22⋊C4—861no—
1251C2×C22⋊C4—861no—
1252C2×C22⋊C4—861no—
1253C2×C22⋊C4—861no—
1254C2×C22⋊C4—861no—
1255C2×C22⋊C4—861no—
1256C2×C22⋊C4—861no—
1257C2×C42—431no—
1258C2×C42—861no—
1259C2×C42—861no—
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107C22×D4311yescharacteristic
1265#107C22×D4311yescharacteristic
1266#107C22×D4311yescharacteristic
1267#107C22×D4311yescharacteristic
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106C22×D4311yescharacteristic
1272#106C22×D4311yescharacteristic
1273#106C22×D4311yescharacteristic
1274#106C22×D4311yescharacteristic
1275#106C22×D4311yescharacteristic
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8—431no—
1279C4⋊C8—431no—
1280C4⋊C8—431no—
1281C4⋊C8C22×D4311yescharacteristic
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#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#103C22×D4311yescharacteristic
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102C22×D4311yescharacteristic
1312#102C22×D4311yescharacteristic
1313#102C22×D4311yescharacteristic
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8—431no—
1317C22⋊C8—431no—
1318C22⋊C8C22×D4311yescharacteristic
1319C22⋊C8C22×D4311yescharacteristic
1320#97—431no—
1321#97—431no—
1322#97—431no—
1323#97C22×D4311yescharacteristic
1324C4×C8—431no—
1325C4×C8—431no—
1326C4×C8—431no—
1327C4×C8—431no—
1328C4×C8—431no—
1329C4×C8—431no—
1330C24—861no—
1331C24—861no—
1332#41—862no—
1333#41—862no—
1334#41—862no—
1335#41—862no—
1336#41—1721no—
1337#41—1721no—
1338#41—1721no—
1339#41—1721no—
1340C2×Q8—21no—
1341C2×Q8—431no—
1342C2×Q8—431no—
1343C2×Q8—431no—
1344C2×Q8—431no—
1345C2×Q8—861no—
1346C2×Q8C23×D4311yescharacteristic
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—431no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—862no—
1355C2×D4—861no—
1356C2×D4—861no—
1357C2×D4—861no—
1358C2×D4—862no—
1359C2×D4—861no—
1360C2×D4—861no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—1721no—
1365C2×D4—1721no—
1366C2×D4D4×D4311yescharacteristic
1367C2×D4C23×D4311yescharacteristic
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—431no—
1371C22×C4—431no—
1372C22×C4—431no—
1373C22×C4—861no—
1374C22×C4—861no—
1375C22×C4—861no—
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×C4C23×D4311yescharacteristic
1390C22×C4C23×D4311yescharacteristic
1391Q16—862no—
1392Q16—1721no—
1393Q16—1721no—
1394Q16—1721no—
1395SD16—22no—
1396SD16—862no—
1397SD16—862no—
1398SD16—862no—
1399SD16—862no—
1400SD16—862no—
1401SD16—1721no—
1402SD16—1721no—
1403D8—434no—
1404D8—862no—
1405D8—862no—
1406D8—1721no—
1407M16—22no—
1408M16—862no—
1409C2×C8—22no—
1410C2×C8—431no—
1411C2×C8—431no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—1721no—
1415C2×C8—1721no—
1416C2×C8—1721no—
1417C2×C8C23×D4311yescharacteristic
1418C2×C8C23×D4311yescharacteristic
1419C2×C8C23×D4311yescharacteristic
1420C2×C8C23×D4311yescharacteristic
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
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—431no—
1438C4⋊C4—431no—
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⋊C4—861no—
1464C4⋊C4D4×D4311yescharacteristic
1465C4⋊C4C23×D4311yescharacteristic
1466C4⋊C4C23×D4311yescharacteristic
1467C4⋊C4C23×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C4⋊C4C23×D4311yescharacteristic
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⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4D4×D4311yescharacteristic
1516C22⋊C4D4×D4311yescharacteristic
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—431no—
1522C42—431no—
1523C42—431no—
1524C42—431no—
1525C42—431no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42C23×D4311yescharacteristic
1535C23—21no—
1536C23—431no—
1537C23—861no—
1538C23—861no—
1539C23—861no—
1540C23—3441no—
1541C23—3441no—
1542C23—3441no—
1543C23—3441no—
1544C23—1722no—
1545C23—1722no—
1546C23C2×D4×D4311yescharacteristic
1547C23C2×D4×D4311yescharacteristic
1548Q8—21no—
1549Q8—21no—
1550Q8—81no—
1551Q8—861no—
1552Q8—861no—
1553Q8—861no—
1554Q8—861no—
1555Q8—861no—
1556Q8—861no—
1557Q8—3441no—
1558Q8—1721no—
1559D4—21no—
1560D4—21no—
1561D4—41no—
1562D4—81no—
1563D4—81no—
1564D4—432no—
1565D4—432no—
1566D4—861no—
1567D4—861no—
1568D4—861no—
1569D4—861no—
1570D4—3441no—
1571D4—3441no—
1572D4—1722no—
1573D4—1722no—
1574D4—1721no—
1575D4—1721no—
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—21no—
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—3441no—
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—3441no—
1618C2×C4—3441no—
1619C2×C4—1722no—
1620C2×C4—1722no—
1621C2×C4—1722no—
1622C2×C4—1722no—
1623C2×C4—1721no—
1624C2×C4—1721no—
1625C2×C4C2×D4×D4311yescharacteristic
1626C2×C4C2×D4×D4311yescharacteristic
1627C2×C4C2×D4×D4311yescharacteristic
1628C2×C4C2×D4×D4311yescharacteristic
1629C2×C4C24×D4311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—861no—
1634C8—861no—
1635C8—861no—
1636C8—861no—
1637C8#41×D4312yes—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—861no—
1648C22—862no—
1649C22—862no—
1650C22—861no—
1651C22—861no—
1652C22—1721no—
1653C22—1721no—
1654C22—1721no—
1655C22—1721no—
1656C22—1721no—
1657C22—1721no—
1658C22—1721no—
1659C22—6882no—
1660C22—6882no—
1661C22C22×D4×D4311yescharacteristic
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—861no—
1674C4—861no—
1675C4—861no—
1676C4—861no—
1677C4—861no—
1678C4—861no—
1679C4—861no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4—1721no—
1684C4—1721no—
1685C4C2×#41×D4311yescharacteristic
1686C4#1458373611yescharacteristic
1687C2—41no—
1688C2—41no—
1689C2—81no—
1690C2—3441no—
1691C2—1721no—
1692C2—1722no—
1693C2—1722no—
1694C2#1914808211yescharacteristic
1695C2#1914936711yescharacteristic
1696C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3350C2
socleC22×C43C23×D4
hypercenter#3350D43
hypocenterC43#61501
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3350

Complements

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

NH ≅ G/Ntype
1. #19148668C2semidirect
2. #19148658C2semidirect
3. #19147675C2semidirect
4. #19147550C2semidirect
5. #19147247C2semidirect
6. #19147243C2semidirect
7. #19147166C2semidirect
8. #19147136C2semidirect
9. #19146510C2semidirect
10. #19146506C2semidirect
11. #19146448C2semidirect
12. #19146439C2semidirect
13. #19146433C2semidirect
14. #19146428C2semidirect
15. #19146203C2semidirect
16. #19146125C2semidirect
17. #19146117C2semidirect
18. #19145268C2semidirect
19. #19145256C2semidirect
20. #19145158C2semidirect
21. #19144816C2semidirect
22. #19144812C2semidirect
23. #19144784C2semidirect
24. #19144774C2semidirect
25. #19144707C2semidirect
26. #19144699C2semidirect
27. #19143565C2semidirect
28. #19143426C2semidirect
29. #19143425C2semidirect
30. #19143366C2semidirect
31. C43×#3350C2semidirect
35. #14583621C22semidirect
36. #14583619C22semidirect
37. #14583617C22semidirect
38. #14583610C22semidirect
39. #14583605C22semidirect
54. #14583546C22semidirect
55. #14583545C22semidirect
59. #14583512C22semidirect
60. #14583509C22semidirect
66. #14583435C22semidirect
68. #14583430C22semidirect
74. #14583373C22semidirect
75. #14583371C22semidirect
76. #14583367C22semidirect
77. #14583367C22semidirect
78. #14583307C22semidirect
79. #14583299C22semidirect
80. #14583293C22semidirect
81. #14583290C22semidirect
83. #14583256C22semidirect
84. #14583255C22semidirect
85. #14583252C22semidirect
86. #14583252C22semidirect
87. #14583251C22semidirect
88. #14583248C22semidirect
89. #14583243C22semidirect
90. #14583240C22semidirect
91. #14583240C22semidirect
92. #14583236C22semidirect
93. #14583234C22semidirect
94. #14583231C22semidirect
96. #14583223C22semidirect
97. #14583209C22semidirect
98. #14583209C22semidirect
99. #14583205C22semidirect
100. #14583202C22semidirect
101. #14583198C22semidirect
102. #14583198C22semidirect
103. #14583196C22semidirect
104. #14583188C22semidirect
105. #14583178C22semidirect
106. #14583176C22semidirect
107. #14583158C22semidirect
108. #14583157C22semidirect
110. #14583141C22semidirect
111. #14583138C22semidirect
112. #14583138C22semidirect
115. #14583128C22semidirect
117. #14583124C22semidirect
118. #14583120C22semidirect
125. #14583109C22semidirect
126. #14583108C22semidirect
127. #14583105C22semidirect
128. #14583103C22semidirect
132. #14583063C22semidirect
134. #14583059C22semidirect
135. #14583052C22semidirect
136. #14583051C22semidirect
141. #14583027C22semidirect
142. #14583023C22semidirect
147. #14583005C22semidirect
148. #14583003C22semidirect
149. #14583002C22semidirect
150. #14582998C22semidirect
151. #14582998C22semidirect
152. #14582998C22semidirect
153. #14582996C22semidirect
154. #14582993C22semidirect
155. #14582993C22semidirect
156. #14582991C22semidirect
157. SD16×Dic43C22semidirect
158. C4×#10621884C22semidirect
159. #14582986C22semidirect
160. #14582986C22semidirect
161. #14582986C22semidirect
162. #14582986C22semidirect
163. #14582986C22semidirect
164. #14582986C22semidirect
171. #14582970C22semidirect
172. D4×C43⋊C8C22semidirect
174. (C22⋊D43)⋊C8C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582940C22semidirect
181. #14582893C22semidirect
182. #14582893C22semidirect
183. C2×#13063245C22semidirect
184. #102×D43C22semidirect
185. #14582857C22semidirect
186. #14582856C22semidirect
187. C2×C8×Dic43C22semidirect
188. C43×#556C22semidirect
190. C43×#501C22semidirect
191. C43×#485C22semidirect
192. C43×#483C22semidirect
194. C43×#482C22semidirect
195. C43×#479C22semidirect
196. C43×#476C22semidirect
198. C43×#465C22semidirect
199. C43×#440C22semidirect
200. C43×#435C22semidirect
201. C43×#428C22semidirect
202. C43×#427C22semidirect
847. #3350D43semidirect
886. #556C2×D43semidirect
929. #501C2×D43semidirect
943. #485C2×D43semidirect
947. #483C2×D43semidirect
951. #482C2×D43semidirect
955. #479C2×D43semidirect
961. #476C2×D43semidirect
975. #465C2×D43semidirect
1013. #440C2×D43semidirect
1032. #435C2×D43semidirect
1040. #428C2×D43semidirect
1041. #427C2×D43semidirect
1051. C43#61501semidirect

Maximal subgroups

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

subgroupindex
#191486682
#191486582
#191476752
#191475502
#191472472
#191472432
#191471662
#191471362
#191465102
#191465062
#191464482
#191464392
#191464332
#191464282
#191462032
#191461252
#191461172
#191452682
#191452562
#191451582
#191448162
#191448122
#191447842
#191447742
#191447072
#191446992
#191435652
#191434262
#191434252
#191433662
C43×#33502
#6150143