Finite Group Databasebeta

← #25988580

Subgroups — #25988580

Order 11008.

1710 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149084C211yesmaximal, characteristic, complemented
2#19148443C211yesmaximal, characteristic, complemented
3#19147674C211yesmaximal, characteristic, complemented
4#19147672C211yesmaximal, characteristic, complemented
5#19147663C211yesmaximal, characteristic, complemented
6#19147655C211yesmaximal, characteristic, complemented
7#19147651C211yesmaximal, characteristic, complemented
8#19147649C211yesmaximal, characteristic, complemented
9#19147616C211yesmaximal, characteristic, complemented
10#19147610C211yesmaximal, characteristic, complemented
11#19147444C211yesmaximal, characteristic, complemented
12#19147436C211yesmaximal, characteristic, complemented
13#19147409C211yesmaximal, characteristic, complemented
14#19147355C211yesmaximal, characteristic, complemented
15#19147347C211yesmaximal, characteristic, complemented
16#19147329C211yesmaximal, characteristic, complemented
17#19147323C211yesmaximal, characteristic, complemented
18#19145692C211yesmaximal, characteristic, complemented
19#19145690C211yesmaximal, characteristic, complemented
20#19145666C211yesmaximal, characteristic, complemented
21#19145664C211yesmaximal, characteristic, complemented
22#19145637C211yesmaximal, characteristic, complemented
23#19145607C211yesmaximal, characteristic, complemented
24#19144864C211yesmaximal, characteristic, complemented
25#19144862C211yesmaximal, characteristic, complemented
26#19144815C211yesmaximal, characteristic, complemented
27#19144813C211yesmaximal, characteristic, complemented
28#19144737C211yesmaximal, characteristic, complemented
29#19144696C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3375C211yesmaximal, characteristic, complemented
32#14583648—21no—
33#14583648—21no—
34#14583634C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583631C2211yescharacteristic
37#14583627C2211yescharacteristic, complemented
38#14583624C2211yescharacteristic, complemented
39#14583624C2211yescharacteristic, complemented
40#14583623—21no—
41#14583622C2211yescharacteristic, complemented
42#14583621C2211yescharacteristic
43#14583621C2211yescharacteristic, complemented
44#14583621C2211yescharacteristic, complemented
45#14583618C2211yescharacteristic
46#14583611—21no—
47#14583610C2211yescharacteristic, complemented
48#14583598—21no—
49#14583594—21no—
50#14583590—21no—
51#14583570C2211yescharacteristic
52#14583569C2211yescharacteristic
53#14583547—21no—
54#14583526—21no—
55#14583523C2211yescharacteristic
56#14583523C2211yescharacteristic
57#14583510—21no—
58#14583510—21no—
59#14583507—21no—
60#14583507C2211yescharacteristic
61#14583507C2211yescharacteristic
62#14583485—21no—
63#14583483—21no—
64#14583467C2211yescharacteristic
65#14583462C2211yescharacteristic
66#14583454C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583448C2211yescharacteristic
69#14583436C2211yescharacteristic
70#14583408—21no—
71#14583407—21no—
72#14583381C2211yescharacteristic
73#14583378C2211yescharacteristic
74C4×D4×D43C2211yescharacteristic
75#14583294C2211yescharacteristic, complemented
76#14583293C2211yescharacteristic, complemented
77#14583292C2211yescharacteristic
78#14583292C2211yescharacteristic, complemented
79#14583290C2211yescharacteristic
80#14583288C2211yescharacteristic
81#14583286C2211yescharacteristic
82#14583285C2211yescharacteristic, complemented
83#14583283C2211yescharacteristic
84#14583281C2211yescharacteristic
85#14583270C2211yescharacteristic
86#14583270C2211yescharacteristic
87#14583266C2211yescharacteristic, complemented
88#14583262C2211yescharacteristic
89#14583262C2211yescharacteristic
90#14583262C2211yescharacteristic, complemented
91#14583261C2211yescharacteristic
92#14583261C2211yescharacteristic, complemented
93#14583255C2211yescharacteristic
94#14583252C2211yescharacteristic
95#14583247C2211yescharacteristic
96#14583236C2211yescharacteristic
97#14583236C2211yescharacteristic
98#14583228C2211yescharacteristic
99#14583214C2211yescharacteristic
100#14583205C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583202C2211yescharacteristic
103#14583202C2211yescharacteristic, complemented
104#14583201C2211yescharacteristic
105#14583201C2211yescharacteristic, complemented
106#14583191C2211yescharacteristic, complemented
107#14583176C2211yescharacteristic
108#14583176C2211yescharacteristic, complemented
109#14583124C2211yescharacteristic
110#14583122C2211yescharacteristic
111#14583122C2211yescharacteristic, complemented
112#14583121C2211yescharacteristic
113#14583121C2211yescharacteristic, complemented
114#14583121C2211yescharacteristic, complemented
115#14583120C2211yescharacteristic
116#14583118C2211yescharacteristic
117#14583117C2211yescharacteristic
118#14583117C2211yescharacteristic
119#14583116C2211yescharacteristic
120#14583115C2211yescharacteristic, complemented
121#14583115C2211yescharacteristic, complemented
122#14583114C2211yescharacteristic, complemented
123#14583113C2211yescharacteristic
124#14583111C2211yescharacteristic, complemented
125#14583108C2211yescharacteristic, complemented
126#14583108C2211yescharacteristic, complemented
127#14583108C2211yescharacteristic, complemented
128#14583107C2211yescharacteristic, complemented
129#14583105C2211yescharacteristic
130#14583104C2211yescharacteristic
131#14583103C2211yescharacteristic, complemented
132#14583102C2211yescharacteristic, complemented
133#14583100C2211yescharacteristic
134#14583099C2211yescharacteristic
135#14583098C2211yescharacteristic
136#14583098C2211yescharacteristic
137#14583098C2211yescharacteristic, complemented
138#14583098C2211yescharacteristic, complemented
139#14583096C2211yescharacteristic
140#14583093C2211yescharacteristic
141#14583093C2211yescharacteristic
142#14583064C2211yescharacteristic
143#14583064C2211yescharacteristic
144#14583062C2211yescharacteristic
145#14583062C2211yescharacteristic
146#14583060C2211yescharacteristic
147#14583058C2211yescharacteristic
148#14583051C2211yescharacteristic
149#14583051C2211yescharacteristic
150#14583048C2211yescharacteristic
151#14583047C2211yescharacteristic
152#14583045C2211yescharacteristic
153#14583034C2211yescharacteristic
154#14583030C2211yescharacteristic, complemented
155#14583029C2211yescharacteristic, complemented
156#14583028C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583027C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583026C2211yescharacteristic, complemented
161#14583012C2211yescharacteristic
162#14583009C2211yescharacteristic
163#14583007C2211yescharacteristic, complemented
164#14583004C2211yescharacteristic, complemented
165#14583002C2211yescharacteristic, complemented
166#14582998C2211yescharacteristic
167#14582998C2211yescharacteristic
168#14582998C2211yescharacteristic, complemented
169#14582998C2211yescharacteristic, complemented
170#14582997C2211yescharacteristic
171#14582997C2211yescharacteristic, complemented
172#14582996C2211yescharacteristic
173#14582996C2211yescharacteristic
174#14582996C2211yescharacteristic, complemented
175#14582993C2211yescharacteristic, complemented
176C4×#10621885C2211yescharacteristic, complemented
177#14582991C2211yescharacteristic, complemented
178C4×#10621873C2211yescharacteristic, complemented
179C4×#10621883C2211yescharacteristic, complemented
180#14582981C2211yescharacteristic, complemented
181#14582979C2211yescharacteristic, complemented
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#559C2211yescharacteristic
189Q82×C43C2211yescharacteristic, complemented
190C43×#489C2211yescharacteristic
191C43×#489C2211yescharacteristic, complemented
192C43×#486C2211yescharacteristic
193C43×#477C2211yescharacteristic, complemented
194C43×#474C2211yescharacteristic
195C43×#474C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic
197C43×#464C2211yescharacteristic, complemented
198C43×#460C2211yescharacteristic
199C43×#446C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic
201C43×#440C2211yescharacteristic, complemented
202C4×Q16×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621900—21no—
206C2×#10621900C2311yescharacteristic
207C2×D4×D43C2311yescharacteristic
208C22×C4×D43—21no—
209C2×Dic172C2311yescharacteristic
210C2×Dic172C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×#10621884C2311yescharacteristic
226C2×D344C2311yescharacteristic
227C2×D344C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230#13063325C2311yescharacteristic
231#13063324D411yescharacteristic
232#13063323—21no—
233#13063323—21no—
234#13063323D411yescharacteristic
235#13063323C2311yescharacteristic
236#13063323C2311yescharacteristic
237#13063323C2311yescharacteristic
238#13063322C2311yescharacteristic
239#13063321C2311yescharacteristic
240#13063321C2311yescharacteristic
241#13063321C2311yescharacteristic
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320—21no—
246#13063320—21no—
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063320—21no—
252#13063319—21no—
253#13063319—21no—
254#13063319—21no—
255#13063319—21no—
256#13063319—21no—
257#13063318—21no—
258#13063318—21no—
259#13063317—21no—
260#13063317—21no—
261#13063317—21no—
262#13063316—21no—
263#13063316C2311yescharacteristic
264#13063316C2311yescharacteristic
265#13063316C2311yescharacteristic
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063315—21no—
270#13063315—21no—
271#13063315—21no—
272#13063315—21no—
273#13063315—21no—
274#13063315D411yescharacteristic
275#13063315D411yescharacteristic
276#13063314—21no—
277#13063314—21no—
278#13063314—21no—
279#13063314C2311yescharacteristic
280#13063314C2311yescharacteristic
281#13063313C2311yescharacteristic
282#13063313C2311yescharacteristic
283#13063313C2311yescharacteristic
284#13063313C2311yescharacteristic
285#13063312C2311yescharacteristic
286#13063311—21no—
287#13063311—21no—
288#13063310—21no—
289#13063310—21no—
290#13063310—21no—
291#13063310—21no—
292#13063310—21no—
293#13063309—21no—
294#13063308—21no—
295#13063307—21no—
296#13063307—21no—
297#13063305—21no—
298#13063305D411yescharacteristic
299#13063305C2311yescharacteristic
300#13063305C2311yescharacteristic
301#13063303—21no—
302#13063303—21no—
303#13063303—21no—
304#13063303D411yescharacteristic
305#13063303D411yescharacteristic
306#13063302—21no—
307#13063301—21no—
308#13063301—21no—
309#13063301—21no—
310#13063301—21no—
311#13063301—21no—
312#13063301—21no—
313#13063301D411yescharacteristic
314#13063301C2311yescharacteristic
315#13063300C2311yescharacteristic
316#13063299—21no—
317#13063298—21no—
318#13063298—21no—
319#13063298—21no—
320#13063298—21no—
321#13063298—21no—
322#13063298—21no—
323#13063297—21no—
324#13063297—21no—
325#13063297—21no—
326#13063297—21no—
327#13063296—21no—
328#13063295—21no—
329#13063295—21no—
330#13063293—21no—
331#13063293—21no—
332Q8×Dic43—21no—
333Q8×Dic43—21no—
334Q8×Dic43—21no—
335Q8×Dic43C2311yescharacteristic
336C4×Dic86—21no—
337C4×Dic86C2311yescharacteristic
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341C4×Dic86C2311yescharacteristic
342C4×Dic86C2311yescharacteristic
343#13063290C2311yescharacteristic
344#13063290C2311yescharacteristic
345#13063290C2311yescharacteristic
346#13063290C2311yescharacteristic
347#13063290C2311yescharacteristic
348C4×D172—21no—
349C4×D172—21no—
350C4×D172C2311yescharacteristic
351C4×D172C2311yescharacteristic
352C4×D172C2311yescharacteristic
353D4×Dic43C2311yescharacteristic
354D4×Dic43C2311yescharacteristic
355#13063287—21no—
356#13063287—21no—
357#13063287C2311yescharacteristic
358#13063287C2311yescharacteristic
359#13063287C2311yescharacteristic
360#13063287C2311yescharacteristic
361C4×C22⋊D43—21no—
362C4×C22⋊D43—21no—
363C4×C22⋊D43—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#13063283—21no—
370#13063283—21no—
371#13063282—21no—
372#13063282—21no—
373#13063282—21no—
374#13063282—21no—
375#13063282—21no—
376#13063282C2311yescharacteristic
377#13063282C2311yescharacteristic
378#13063281—21no—
379#13063281—21no—
380C2×Dic43⋊C4—21no—
381C4⋊C4×D43—21no—
382C4⋊C4×D43—21no—
383C4⋊C4×D43C2311yescharacteristic
384C22⋊C4×D43—21no—
385C42×D43C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063256C2311yescharacteristic
391C4⋊(C43⋊C8)C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063245C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422(C2×D43)⋊C8C2311yescharacteristic
423(C2×D43)⋊C8C2311yescharacteristic
424(C2×D43)⋊C8C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426#13063236C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×Q16×C43C2311yescharacteristic
436C2×SD16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C4⋊Q8×C43—21no—
439C4⋊Q8×C43—21no—
440C4⋊Q8×C43—21no—
441C4⋊Q8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443C4⋊Q8×C43C2311yescharacteristic
444#127×C43C2311yescharacteristic
445#124×C43—21no—
446#124×C43C2311yescharacteristic
447#124×C43C2311yescharacteristic
448#123×C43—21no—
449#123×C43—21no—
450C4×Q8×C43—21no—
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×D4×C43—21no—
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462C4⋊C8×C43C2311yescharacteristic
463C4⋊C8×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465#103×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43—21no—
482C2×Q8×C43C2×D411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43C2411yescharacteristic
488C2×D4×C43C2411yescharacteristic
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C22×Dic43—21no—
500C22×Dic43—21no—
501C22×Dic43—21no—
502#10621902—41no—
503#10621902—41no—
504#10621900—41no—
505#10621900—41no—
506#10621900—82no—
507D4×D43—41no—
508D4×D43—41no—
509#10621898—82no—
510C2×D172—21no—
511C2×D172—21no—
512C2×D172—21no—
513C2×D172—21no—
514C2×D172C2411yescharacteristic
515C2×D172C2411yescharacteristic
516C2×D172C2411yescharacteristic
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—82no—
527C2×C4×D43C2×D411yescharacteristic
528C2×C4×D43C2×D411yescharacteristic
529C2×C4×D43C2411yescharacteristic
530C2×Dic86C2×D411yescharacteristic
531C2×Dic86C2×D411yescharacteristic
532C2×Dic86C2×D411yescharacteristic
533C2×Dic86C2411yescharacteristic
534C2×Dic86C2411yescharacteristic
535C2×Dic86C2411yescharacteristic
536Q16×C43—41no—
537SD16×C43—41no—
538SD16×C43—41no—
539C2×C8×C43C2411yescharacteristic
540C2×C8×C43C2411yescharacteristic
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43C2×D411yescharacteristic
551C4⋊C4×C43C2×D411yescharacteristic
552C4⋊C4×C43C2×D411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C42×C43—21no—
564C42×C43—21no—
565C42×C43—21no—
566C42×C43—21no—
567C42×C43C2411yescharacteristic
568C42×C43C2411yescharacteristic
569C42×C43C2411yescharacteristic
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574#10621885—41no—
575#10621885—41no—
576#10621885—41no—
577#10621884—41no—
578#10621884—41no—
579#10621884—41no—
580#10621883—41no—
581#10621883—41no—
582#10621883—41no—
583#10621883—41no—
584#10621882—41no—
585#10621882—41no—
586(C2×D43)⋊C4—21no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611(C2×D43)⋊C4C2×D411yescharacteristic
612(C2×D43)⋊C4C2×D411yescharacteristic
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43C2×D411yescharacteristic
622C4⋊Dic43C2×D411yescharacteristic
623C4⋊Dic43C2×D411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
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⋊C8C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673Dic172—41no—
674Dic172—41no—
675D344—41no—
676D344—41no—
677#10621873—41no—
678#10621873—41no—
679#10621873—41no—
680#10621873—41no—
681#10621873—41no—
682C23×C43—21no—
683C23×C43—21no—
684C22×D43—21no—
685C22×D43—21no—
686C22×D43—21no—
687C22×D43—42no—
688C22×D43—81no—
689C22×D43—81no—
690C22×D43C22×D411yescharacteristic
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—41no—
696Q8×C43—81no—
697Q8×C43—81no—
698Q8×C43—81no—
699D4×C43—21no—
700D4×C43—21no—
701D4×C43—21no—
702D4×C43—21no—
703D4×C43—81no—
704D4×C43—81no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—81no—
712C2×C4×C43—81no—
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C22×D411yescharacteristic
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C2511yescharacteristic
720C22⋊D43—42no—
721C22⋊D43—42no—
722C22⋊D43—42no—
723C22⋊D43—81no—
724C22⋊D43—81no—
725C22⋊D43—81no—
726C22⋊D43—81no—
727C22⋊D43—81no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—42no—
734C2×Dic43—42no—
735C2×Dic43—81no—
736C2×Dic43C22×D411yescharacteristic
737C2×Dic43C22×D411yescharacteristic
738C2×Dic43C22×D411yescharacteristic
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743D172—21no—
744D172—21no—
745D172—21no—
746D172—21no—
747D172—21no—
748D172—21no—
749D172—42no—
750D172—81no—
751D172—81no—
752D172—81no—
753C4×D43—21no—
754C4×D43—21no—
755C4×D43—41no—
756C4×D43—41no—
757C4×D43—42no—
758C4×D43—42no—
759C4×D43—42no—
760C4×D43—81no—
761C4×D43—81no—
762C4×D43—81no—
763C4×D43—81no—
764C4×D43—81no—
765C4×D43—81no—
766Dic86—21no—
767Dic86—21no—
768Dic86—21no—
769Dic86—21no—
770Dic86—21no—
771Dic86—21no—
772Dic86—41no—
773Dic86—41no—
774Dic86—41no—
775C8×C43—21no—
776C8×C43—21no—
777C8×C43—21no—
778C8×C43—21no—
779C43⋊C8—21no—
780C43⋊C8—21no—
781C43⋊C8—21no—
782C43⋊C8—21no—
783#61939—431nomaximal, Sylow
784C22×C43—41no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43C23×D411yescharacteristic
791C2×D43—21no—
792C2×D43—21no—
793C2×D43—21no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—41no—
798C2×D43—41no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—41no—
803C2×D43—84no—
804C4×C43—21no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—21no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43#58511yescharacteristic
817C4×C43#58511yescharacteristic
818Dic43—21no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—21no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830#3555—431no—
831#3506—431no—
832#3402—431no—
833#3402—431no—
834#3401—431no—
835#3401—431no—
836#3400—431no—
837#3400—431no—
838#3397—431no—
839#3397—431no—
840#3377—431no—
841#3377—431no—
842#3375—431no—
843#3375D4311yescharacteristic, complemented
844#3370—431no—
845#3370—431no—
846#3368—431no—
847#3368—431no—
848#3224—431no—
849#3224—431no—
850#3222—431no—
851#3222—431no—
852#3219—431no—
853#3216—431no—
854#3124—431no—
855#3124—431no—
856#3120—431no—
857#3120—431no—
858#3114—431no—
859#3110—431no—
860#2987—431no—
861C2×C43—81no—
862C2×C43—81no—
863C2×C43#348711yescharacteristic
864C2×C43#358511yescharacteristic
865C2×C43#358611yescharacteristic
866D43—41no—
867D43—81no—
868D43—81no—
869D43—81no—
870#563—861no—
871#563—861no—
872#559—431no—
873#559—431no—
874#559—431no—
875#559C2×D4311yescharacteristic
876Q82C2×D4311yescharacteristic, complemented
877#557—431no—
878#557—431no—
879#557—431no—
880#556—431no—
881#556—431no—
882#556—431no—
883#556—431no—
884#556—431no—
885#556—861no—
886#555—861no—
887#554—431no—
888#553—861no—
889#553—861no—
890#552—861no—
891#550—431no—
892#550—431no—
893#547—861no—
894#544—861no—
895#542—431no—
896#542—431no—
897#541—431no—
898#541—431no—
899#541—861no—
900#541—861no—
901#541—861no—
902#538—861no—
903#538—861no—
904#535—431no—
905#535—431no—
906#533—431no—
907#533—431no—
908#532—431no—
909#529—431no—
910#525—861no—
911#525—861no—
912#520—431no—
913#520—431no—
914C2×C4×D4—431no—
915#497—431no—
916#497—431no—
917#497—431no—
918#497—431no—
919#497—431no—
920#496—431no—
921#496—431no—
922#496—431no—
923#495—431no—
924#495—431no—
925#492—431no—
926#492—431no—
927#491—431no—
928#490—431no—
929#490—431no—
930#490—431no—
931#489—431no—
932#489—431no—
933#489C2×D4311yescharacteristic
934#489C2×D4311yescharacteristic, complemented
935#488—431no—
936#488—431no—
937#486—431no—
938#486C2×D4311yescharacteristic
939#484—431no—
940#484—431no—
941#483—431no—
942#480—431no—
943#479—431no—
944#479—431no—
945#478—431no—
946#478—431no—
947#478—431no—
948#478—431no—
949#477—431no—
950#477C2×D4311yescharacteristic, complemented
951#474—431no—
952#474—431no—
953#474C2×D4311yescharacteristic
954#474C2×D4311yescharacteristic, complemented
955#464—431no—
956#464—431no—
957#464—431no—
958#464—431no—
959#464—431no—
960#464—431no—
961#464—431no—
962#464—431no—
963#464C2×D4311yescharacteristic
964#464C2×D4311yescharacteristic, complemented
965#463—431no—
966#463—431no—
967#463—431no—
968#463—431no—
969#463—431no—
970#463—431no—
971#463—431no—
972#463—431no—
973#462—431no—
974#462—431no—
975#462—431no—
976#462—431no—
977#461—431no—
978#461—431no—
979#461—431no—
980#461—431no—
981#460—431no—
982#460—431no—
983#460—431no—
984#460—431no—
985#460—431no—
986#460—431no—
987#460—431no—
988#460C2×D4311yescharacteristic
989#459—431no—
990#459—431no—
991#452—431no—
992#452—431no—
993#452—431no—
994#452—431no—
995#452—431no—
996#452—431no—
997#450—431no—
998#450—431no—
999#450—431no—
1000#449—431no—
1001#449—431no—
1002#447—431no—
1003#446—431no—
1004#446—431no—
1005#446—431no—
1006#446—431no—
1007#446—431no—
1008#446—431no—
1009#446—431no—
1010#446C2×D4311yescharacteristic, complemented
1011#442—431no—
1012#442—431no—
1013#441—431no—
1014#441—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025#440C2×D4311yescharacteristic
1026#440C2×D4311yescharacteristic, complemented
1027C4×Q16—431no—
1028C4×Q16—431no—
1029C4×Q16—431no—
1030C4×Q16C2×D4311yescharacteristic, complemented
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×D8—431no—
1034C4×D8—431no—
1035#433—431no—
1036#433—431no—
1037#433—431no—
1038#433—431no—
1039#432—431no—
1040#432—431no—
1041C43#6193911yescharacteristic, complemented, Sylow
1042C2×#41—431no—
1043C2×#41—431no—
1044C2×#41—861no—
1045C2×#41—861no—
1046C22×D4—431no—
1047C23×C4—861no—
1048C2×Q16—431no—
1049C2×Q16—431no—
1050C2×Q16—431no—
1051C2×Q16—431no—
1052C2×Q16—431no—
1053C2×Q16C22×D4311yescharacteristic
1054C2×SD16—431no—
1055C2×SD16—431no—
1056C2×SD16—431no—
1057C2×SD16—431no—
1058C2×SD16—431no—
1059C2×SD16—431no—
1060C2×SD16—431no—
1061C2×SD16—431no—
1062C2×SD16—431no—
1063C2×SD16—431no—
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16C22×D4311yescharacteristic
1067C2×SD16C22×D4311yescharacteristic
1068C2×D8—431no—
1069C2×D8—431no—
1070C2×D8—431no—
1071C2×D8—431no—
1072C4⋊Q8—21no—
1073C4⋊Q8—21no—
1074C4⋊Q8—21no—
1075C4⋊Q8—431no—
1076C4⋊Q8—431no—
1077C4⋊Q8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081C4⋊Q8—861no—
1082C4⋊Q8—861no—
1083C4⋊Q8C22×D4311yescharacteristic
1084C4⋊Q8C22×D4311yescharacteristic
1085C4⋊Q8C22×D4311yescharacteristic
1086#127—431no—
1087#127—431no—
1088#127—431no—
1089#127—431no—
1090#127C22×D4311yescharacteristic
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#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#125—431no—
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#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125—861no—
1124#125—861no—
1125#124—21no—
1126#124—431no—
1127#124—431no—
1128#124—431no—
1129#124—431no—
1130#124—431no—
1131#124—431no—
1132#124—431no—
1133#124—861no—
1134#124—861no—
1135#124—861no—
1136#124—861no—
1137#124—861no—
1138#124C22×D4311yescharacteristic
1139#124C22×D4311yescharacteristic
1140#123—21no—
1141#123—21no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
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#121—861no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#120—861no—
1183#120—861no—
1184#120—861no—
1185#120—861no—
1186C4×Q8—21no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—431no—
1191C4×Q8—431no—
1192C4×Q8—431no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—861no—
1200C4×Q8—861no—
1201C4×Q8—861no—
1202C4×Q8—861no—
1203C4×Q8C22×D4311yescharacteristic
1204C4×Q8C22×D4311yescharacteristic
1205C4×Q8C22×D4311yescharacteristic
1206C4×Q8C22×D4311yescharacteristic
1207C4×Q8C22×D4311yescharacteristic
1208C4×D4—21no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4C22×D4311yescharacteristic
1231C4×D4C22×D4311yescharacteristic
1232#117—431no—
1233#117—431no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243C2×C4⋊C4—431no—
1244C2×C4⋊C4—861no—
1245C2×C4⋊C4—861no—
1246C2×C4⋊C4—861no—
1247C2×C22⋊C4—861no—
1248C2×C42—431no—
1249#107—431no—
1250#107—431no—
1251#107—431no—
1252#107C22×D4311yescharacteristic
1253#107C22×D4311yescharacteristic
1254#107C22×D4311yescharacteristic
1255#106—431no—
1256#106—431no—
1257C4⋊C8—431no—
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264C4⋊C8—431no—
1265C4⋊C8—431no—
1266C4⋊C8C22×D4311yescharacteristic
1267C4⋊C8C22×D4311yescharacteristic
1268C4⋊C8C22×D4311yescharacteristic
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103C22×D4311yescharacteristic
1280#103C22×D4311yescharacteristic
1281#103C22×D4311yescharacteristic
1282#103C22×D4311yescharacteristic
1283#102—431no—
1284#102—431no—
1285#102—431no—
1286#102—431no—
1287#102—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102—431no—
1295#102C22×D4311yescharacteristic
1296#102C22×D4311yescharacteristic
1297#102C22×D4311yescharacteristic
1298#102C22×D4311yescharacteristic
1299#102C22×D4311yescharacteristic
1300#102C22×D4311yescharacteristic
1301C22⋊C8—431no—
1302C22⋊C8—431no—
1303C22⋊C8—431no—
1304C22⋊C8—431no—
1305#97—431no—
1306#97—431no—
1307#97—431no—
1308#97—431no—
1309#97—431no—
1310#97—431no—
1311#97C22×D4311yescharacteristic
1312#97C22×D4311yescharacteristic
1313C4×C8—431no—
1314C4×C8—431no—
1315C4×C8—431no—
1316C4×C8C22×D4311yescharacteristic
1317C24—861no—
1318#41—3442no—
1319#41—3442no—
1320#41—1721no—
1321#41—1721no—
1322#41—1721no—
1323#41—1721no—
1324C2×Q8—21no—
1325C2×Q8—21no—
1326C2×Q8—21no—
1327C2×Q8—431no—
1328C2×Q8—431no—
1329C2×Q8—431no—
1330C2×Q8—431no—
1331C2×Q8—431no—
1332C2×Q8—431no—
1333C2×Q8D4×D4311yescharacteristic
1334C2×Q8C23×D4311yescharacteristic
1335C2×Q8C23×D4311yescharacteristic
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—431no—
1339C2×D4—431no—
1340C2×D4—431no—
1341C2×D4—861no—
1342C2×D4—861no—
1343C2×D4—861no—
1344C2×D4—861no—
1345C2×D4—861no—
1346C2×D4—861no—
1347C2×D4—861no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—861no—
1351C2×D4—861no—
1352C2×D4—861no—
1353C2×D4—1721no—
1354C2×D4—1721no—
1355C2×D4C23×D4311yescharacteristic
1356C2×D4C23×D4311yescharacteristic
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—431no—
1360C22×C4—431no—
1361C22×C4—431no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—3442no—
1375Q16—41no—
1376Q16—1721no—
1377Q16—1721no—
1378Q16—1721no—
1379Q16—1721no—
1380Q16—1721no—
1381SD16—41no—
1382SD16—41no—
1383SD16—1721no—
1384SD16—1721no—
1385SD16—1721no—
1386SD16—1721no—
1387SD16—1721no—
1388SD16—1721no—
1389SD16—1721no—
1390SD16—1721no—
1391SD16—1721no—
1392SD16—1721no—
1393SD16—1721no—
1394SD16—1721no—
1395D8—1721no—
1396D8—1721no—
1397D8—1721no—
1398D8—1721no—
1399C2×C8—431no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8C23×D4311yescharacteristic
1404C2×C8C23×D4311yescharacteristic
1405C2×C8C23×D4311yescharacteristic
1406C2×C8C23×D4311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—431no—
1415C4⋊C4—431no—
1416C4⋊C4—431no—
1417C4⋊C4—431no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1457C4⋊C4D4×D4311yescharacteristic
1458C4⋊C4D4×D4311yescharacteristic
1459C4⋊C4C23×D4311yescharacteristic
1460C4⋊C4C23×D4311yescharacteristic
1461C4⋊C4C23×D4311yescharacteristic
1462C4⋊C4C23×D4311yescharacteristic
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—431no—
1470C22⋊C4—431no—
1471C22⋊C4—431no—
1472C22⋊C4—431no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—21no—
1504C42—431no—
1505C42—431no—
1506C42—431no—
1507C42—431no—
1508C42—431no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42C23×D4311yescharacteristic
1519C42C23×D4311yescharacteristic
1520C42C23×D4311yescharacteristic
1521C23—21no—
1522C23—21no—
1523C23—431no—
1524C23—861no—
1525C23—861no—
1526C23—861no—
1527C23—3441no—
1528C23—3441no—
1529C23—1722no—
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—41no—
1535Q8—81no—
1536Q8—81no—
1537Q8—81no—
1538Q8—861no—
1539Q8—861no—
1540Q8—861no—
1541Q8—861no—
1542Q8—861no—
1543Q8—861no—
1544Q8—1721no—
1545Q8—1721no—
1546Q8—1721no—
1547D4—21no—
1548D4—21no—
1549D4—21no—
1550D4—21no—
1551D4—81no—
1552D4—81no—
1553D4—861no—
1554D4—861no—
1555D4—861no—
1556D4—861no—
1557D4—861no—
1558D4—861no—
1559D4—3441no—
1560D4—3441no—
1561D4—3441no—
1562D4—3441no—
1563D4—3441no—
1564D4—3441no—
1565D4—3441no—
1566D4—3441no—
1567D4—1722no—
1568D4—1722no—
1569D4—1722no—
1570D4—1722no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—431no—
1580C2×C4—431no—
1581C2×C4—431no—
1582C2×C4—431no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—861no—
1587C2×C4—861no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—3441no—
1594C2×C4—3441no—
1595C2×C4—3441no—
1596C2×C4—3441no—
1597C2×C4—3441no—
1598C2×C4—3441no—
1599C2×C4—3441no—
1600C2×C4—1721no—
1601C2×C4—1721no—
1602C2×C4—1722no—
1603C2×C4—1722no—
1604C2×C4—1722no—
1605C2×C4—1722no—
1606C2×C4—1722no—
1607C2×C4C2×D4×D4311yescharacteristic
1608C2×C4C2×D4×D4311yescharacteristic
1609C2×C4C2×D4×D4311yescharacteristic
1610C2×C4C2×D4×D4311yescharacteristic
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C24×D4311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—861no—
1619C8—861no—
1620C8—861no—
1621C8—861no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—861no—
1629C22—861no—
1630C22—861no—
1631C22—3444no—
1632C22—1721no—
1633C22—1721no—
1634C22—1721no—
1635C22—1721no—
1636C22—1721no—
1637C22—1721no—
1638C22—1721no—
1639C22—1721no—
1640C22—1721no—
1641C22C22×D4×D4311yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—861no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—861no—
1659C4—861no—
1660C4—861no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4#1458373511yescharacteristic
1667C4#1458373611yescharacteristic
1668C2—81no—
1669C2—81no—
1670C2—3441no—
1671C2—3441no—
1672C2—3441no—
1673C2—1721no—
1674C2#1914825211yescharacteristic
1675C2#1914937011yescharacteristic
1676C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3375C2
socleC22×C43C23×D4
hypercenter#3375D43
hypocenterC43#61939
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3375

Complements

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

NH ≅ G/Ntype
1. #19149084C2semidirect
2. #19148443C2semidirect
3. #19147674C2semidirect
4. #19147672C2semidirect
5. #19147663C2semidirect
6. #19147655C2semidirect
7. #19147651C2semidirect
8. #19147649C2semidirect
9. #19147616C2semidirect
10. #19147610C2semidirect
11. #19147444C2semidirect
12. #19147436C2semidirect
13. #19147409C2semidirect
14. #19147355C2semidirect
15. #19147347C2semidirect
16. #19147329C2semidirect
17. #19147323C2semidirect
18. #19145692C2semidirect
19. #19145690C2semidirect
20. #19145666C2semidirect
21. #19145664C2semidirect
22. #19145637C2semidirect
23. #19145607C2semidirect
24. #19144864C2semidirect
25. #19144862C2semidirect
26. #19144815C2semidirect
27. #19144813C2semidirect
28. #19144737C2semidirect
29. #19144696C2semidirect
30. #19143698C2semidirect
31. C43×#3375C2semidirect
37. #14583627C22semidirect
38. #14583624C22semidirect
39. #14583624C22semidirect
41. #14583622C22semidirect
43. #14583621C22semidirect
44. #14583621C22semidirect
47. #14583610C22semidirect
75. #14583294C22semidirect
76. #14583293C22semidirect
78. #14583292C22semidirect
82. #14583285C22semidirect
87. #14583266C22semidirect
90. #14583262C22semidirect
92. #14583261C22semidirect
100. #14583205C22semidirect
101. #14583204C22semidirect
103. #14583202C22semidirect
105. #14583201C22semidirect
106. #14583191C22semidirect
108. #14583176C22semidirect
111. #14583122C22semidirect
113. #14583121C22semidirect
114. #14583121C22semidirect
120. #14583115C22semidirect
121. #14583115C22semidirect
122. #14583114C22semidirect
124. #14583111C22semidirect
125. #14583108C22semidirect
126. #14583108C22semidirect
127. #14583108C22semidirect
128. #14583107C22semidirect
131. #14583103C22semidirect
132. #14583102C22semidirect
137. #14583098C22semidirect
138. #14583098C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
163. #14583007C22semidirect
164. #14583004C22semidirect
165. #14583002C22semidirect
168. #14582998C22semidirect
169. #14582998C22semidirect
171. #14582997C22semidirect
174. #14582996C22semidirect
175. #14582993C22semidirect
176. C4×#10621885C22semidirect
177. #14582991C22semidirect
178. C4×#10621873C22semidirect
179. C4×#10621883C22semidirect
180. #14582981C22semidirect
181. #14582979C22semidirect
189. Q82×C43C22semidirect
191. C43×#489C22semidirect
193. C43×#477C22semidirect
195. C43×#474C22semidirect
197. C43×#464C22semidirect
199. C43×#446C22semidirect
201. C43×#440C22semidirect
202. C4×Q16×C43C22semidirect
843. #3375D43semidirect
876. Q82C2×D43semidirect
934. #489C2×D43semidirect
950. #477C2×D43semidirect
954. #474C2×D43semidirect
964. #464C2×D43semidirect
1010. #446C2×D43semidirect
1026. #440C2×D43semidirect
1030. C4×Q16C2×D43semidirect
1041. C43#61939semidirect

Maximal subgroups

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

subgroupindex
#191490842
#191484432
#191476742
#191476722
#191476632
#191476552
#191476512
#191476492
#191476162
#191476102
#191474442
#191474362
#191474092
#191473552
#191473472
#191473292
#191473232
#191456922
#191456902
#191456662
#191456642
#191456372
#191456072
#191448642
#191448622
#191448152
#191448132
#191447372
#191446962
#191436982
C43×#33752
#6193943