Finite Group Databasebeta

← #25988583

Subgroups — #25988583

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#19149086C211yesmaximal, characteristic, complemented
2#19148443C211yesmaximal, characteristic, complemented
3#19147675C211yesmaximal, characteristic, complemented
4#19147673C211yesmaximal, characteristic, complemented
5#19147666C211yesmaximal, characteristic, complemented
6#19147658C211yesmaximal, characteristic, complemented
7#19147650C211yesmaximal, characteristic, complemented
8#19147648C211yesmaximal, characteristic, complemented
9#19147619C211yesmaximal, characteristic, complemented
10#19147613C211yesmaximal, characteristic, complemented
11#19147443C211yesmaximal, characteristic, complemented
12#19147435C211yesmaximal, characteristic, complemented
13#19147412C211yesmaximal, characteristic, complemented
14#19147406C211yesmaximal, characteristic, complemented
15#19147348C211yesmaximal, characteristic, complemented
16#19147327C211yesmaximal, characteristic, complemented
17#19147321C211yesmaximal, characteristic, complemented
18#19145688C211yesmaximal, characteristic, complemented
19#19145686C211yesmaximal, characteristic, complemented
20#19145670C211yesmaximal, characteristic, complemented
21#19145668C211yesmaximal, characteristic, complemented
22#19145631C211yesmaximal, characteristic, complemented
23#19145607C211yesmaximal, characteristic, complemented
24#19144855C211yesmaximal, characteristic, complemented
25#19144853C211yesmaximal, characteristic, complemented
26#19144816C211yesmaximal, characteristic, complemented
27#19144814C211yesmaximal, characteristic, complemented
28#19144731C211yesmaximal, characteristic, complemented
29#19144696C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3370C211yesmaximal, characteristic, complemented
32#14583650—21no—
33#14583650—21no—
34#14583634C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583631C2211yescharacteristic
37#14583629C2211yescharacteristic, complemented
38#14583628C2211yescharacteristic, complemented
39#14583626C2211yescharacteristic, complemented
40#14583626C2211yescharacteristic, complemented
41#14583621C2211yescharacteristic
42#14583620—21no—
43#14583619C2211yescharacteristic, complemented
44#14583619C2211yescharacteristic, complemented
45#14583619C2211yescharacteristic, complemented
46#14583618C2211yescharacteristic
47#14583611—21no—
48#14583598—21no—
49#14583594—21no—
50#14583584—21no—
51#14583570C2211yescharacteristic
52#14583569C2211yescharacteristic
53#14583547—21no—
54#14583530—21no—
55#14583514C2211yescharacteristic
56#14583514C2211yescharacteristic
57#14583512C2211yescharacteristic
58#14583512C2211yescharacteristic
59#14583509—21no—
60#14583509—21no—
61#14583509—21no—
62#14583485—21no—
63#14583483—21no—
64#14583467C2211yescharacteristic
65#14583462C2211yescharacteristic
66#14583454C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583448C2211yescharacteristic
69#14583431C2211yescharacteristic
70#14583408—21no—
71#14583407—21no—
72#14583381C2211yescharacteristic
73#14583378C2211yescharacteristic
74C4×D4×D43C2211yescharacteristic
75#14583294C2211yescharacteristic
76#14583294C2211yescharacteristic, complemented
77#14583293C2211yescharacteristic
78#14583293C2211yescharacteristic, complemented
79#14583290C2211yescharacteristic, complemented
80#14583287C2211yescharacteristic
81#14583287C2211yescharacteristic
82#14583287C2211yescharacteristic, complemented
83#14583282C2211yescharacteristic
84#14583280C2211yescharacteristic
85#14583272C2211yescharacteristic
86#14583271C2211yescharacteristic
87#14583266C2211yescharacteristic, complemented
88#14583265C2211yescharacteristic
89#14583262C2211yescharacteristic, complemented
90#14583261C2211yescharacteristic, complemented
91#14583260C2211yescharacteristic
92#14583257C2211yescharacteristic
93#14583256C2211yescharacteristic
94#14583244C2211yescharacteristic
95#14583244C2211yescharacteristic
96#14583236C2211yescharacteristic
97#14583236C2211yescharacteristic
98#14583231C2211yescharacteristic
99#14583211C2211yescharacteristic
100#14583203C2211yescharacteristic, complemented
101#14583198C2211yescharacteristic
102#14583197C2211yescharacteristic
103#14583196C2211yescharacteristic, complemented
104#14583193C2211yescharacteristic, complemented
105#14583192C2211yescharacteristic, complemented
106#14583178C2211yescharacteristic, complemented
107#14583177C2211yescharacteristic, complemented
108#14583176C2211yescharacteristic
109#14583124C2211yescharacteristic
110#14583124C2211yescharacteristic
111#14583122C2211yescharacteristic
112#14583122C2211yescharacteristic, complemented
113#14583120C2211yescharacteristic
114#14583120C2211yescharacteristic
115#14583120C2211yescharacteristic, complemented
116#14583119C2211yescharacteristic, complemented
117#14583118C2211yescharacteristic
118#14583118C2211yescharacteristic, complemented
119#14583114C2211yescharacteristic
120#14583114C2211yescharacteristic, complemented
121#14583113C2211yescharacteristic
122#14583113C2211yescharacteristic, complemented
123#14583112C2211yescharacteristic
124#14583112C2211yescharacteristic, complemented
125#14583110C2211yescharacteristic, complemented
126#14583109C2211yescharacteristic, complemented
127#14583108C2211yescharacteristic, complemented
128#14583108C2211yescharacteristic, complemented
129#14583105C2211yescharacteristic
130#14583105C2211yescharacteristic, complemented
131#14583104C2211yescharacteristic
132#14583104C2211yescharacteristic, complemented
133#14583100C2211yescharacteristic
134#14583098C2211yescharacteristic
135#14583098C2211yescharacteristic
136#14583098C2211yescharacteristic
137#14583098C2211yescharacteristic
138#14583098C2211yescharacteristic, complemented
139#14583098C2211yescharacteristic, complemented
140#14583096C2211yescharacteristic
141#14583094C2211yescharacteristic
142#14583064C2211yescharacteristic
143#14583064C2211yescharacteristic
144#14583064C2211yescharacteristic
145#14583062C2211yescharacteristic
146#14583062C2211yescharacteristic
147#14583062C2211yescharacteristic
148#14583051C2211yescharacteristic
149#14583051C2211yescharacteristic
150#14583051C2211yescharacteristic
151#14583043C2211yescharacteristic
152#14583041C2211yescharacteristic
153#14583031C2211yescharacteristic
154#14583030C2211yescharacteristic, complemented
155#14583029C2211yescharacteristic, complemented
156#14583028C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583027C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583026C2211yescharacteristic, complemented
161#14583009C2211yescharacteristic
162#14583005C2211yescharacteristic, complemented
163#14583003C2211yescharacteristic, complemented
164#14583001C2211yescharacteristic
165#14583001C2211yescharacteristic, complemented
166#14582999C2211yescharacteristic
167#14582999C2211yescharacteristic, complemented
168#14582999C2211yescharacteristic, complemented
169#14582998C2211yescharacteristic
170#14582998C2211yescharacteristic
171#14582998C2211yescharacteristic, complemented
172#14582996C2211yescharacteristic
173#14582996C2211yescharacteristic
174#14582996C2211yescharacteristic, complemented
175C4×Dic172C2211yescharacteristic, complemented
176#14582993C2211yescharacteristic, complemented
177C4×#10621885C2211yescharacteristic, complemented
178#14582991C2211yescharacteristic, complemented
179#14582990C2211yescharacteristic, complemented
180#14582986C2211yescharacteristic, complemented
181C4×#10621882C2211yescharacteristic, complemented
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#559C2211yescharacteristic
189C43×#554C2211yescharacteristic, complemented
190C43×#490C2211yescharacteristic
191C43×#489C2211yescharacteristic, complemented
192C43×#488C2211yescharacteristic
193C43×#479C2211yescharacteristic, complemented
194C43×#478C2211yescharacteristic, complemented
195C43×#474C2211yescharacteristic
196C43×#463C2211yescharacteristic
197C43×#463C2211yescharacteristic, complemented
198C43×#459C2211yescharacteristic
199C43×#446C2211yescharacteristic, complemented
200C43×#442C2211yescharacteristic
201C43×#440C2211yescharacteristic, complemented
202C4×D8×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621900—21no—
206C2×#10621900C2311yescharacteristic
207C2×D4×D43C2311yescharacteristic
208C22×C4×D43—21no—
209C2×Dic172C2311yescharacteristic
210C2×Dic172C2311yescharacteristic
211C2×Dic172C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621883C2311yescharacteristic
225C2×#10621883C2311yescharacteristic
226C2×#10621883C2311yescharacteristic
227C2×#10621883C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230#13063325C2311yescharacteristic
231#13063325C2311yescharacteristic
232#13063325C2311yescharacteristic
233#13063324—21no—
234#13063324—21no—
235#13063324—21no—
236#13063324D411yescharacteristic
237#13063324C2311yescharacteristic
238#13063324C2311yescharacteristic
239#13063323—21no—
240#13063323—21no—
241#13063323D411yescharacteristic
242#13063323C2311yescharacteristic
243#13063322C2311yescharacteristic
244#13063321C2311yescharacteristic
245#13063321C2311yescharacteristic
246#13063321C2311yescharacteristic
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063320—21no—
252#13063319—21no—
253#13063318—21no—
254#13063318—21no—
255#13063318—21no—
256#13063318—21no—
257#13063318—21no—
258#13063318—21no—
259#13063318—21no—
260#13063318—21no—
261#13063318—21no—
262#13063318—21no—
263#13063318—21no—
264#13063316—21no—
265#13063316—21no—
266#13063316—21no—
267#13063316—21no—
268#13063316—21no—
269#13063316—21no—
270#13063316—21no—
271#13063316—21no—
272#13063316C2311yescharacteristic
273#13063315—21no—
274#13063315—21no—
275#13063315—21no—
276#13063315—21no—
277#13063315D411yescharacteristic
278#13063315D411yescharacteristic
279#13063314—21no—
280#13063314C2311yescharacteristic
281#13063313C2311yescharacteristic
282#13063313C2311yescharacteristic
283#13063312C2311yescharacteristic
284#13063312C2311yescharacteristic
285#13063312C2311yescharacteristic
286#13063312C2311yescharacteristic
287#13063311—21no—
288#13063311—21no—
289#13063311—21no—
290#13063311—21no—
291#13063310—21no—
292#13063310—21no—
293#13063309—21no—
294#13063308—21no—
295#13063308—21no—
296#13063308—21no—
297#13063307—21no—
298#13063307—21no—
299#13063307—21no—
300#13063305D411yescharacteristic
301#13063305C2311yescharacteristic
302#13063305C2311yescharacteristic
303#13063305C2311yescharacteristic
304#13063304—21no—
305#13063304—21no—
306#13063304—21no—
307#13063304—21no—
308#13063304—21no—
309#13063303—21no—
310#13063303D411yescharacteristic
311#13063303D411yescharacteristic
312#13063302—21no—
313#13063301—21no—
314#13063301D411yescharacteristic
315#13063299—21no—
316#13063298—21no—
317#13063298—21no—
318#13063298—21no—
319#13063298—21no—
320#13063298—21no—
321#13063298—21no—
322#13063297—21no—
323#13063297—21no—
324#13063297—21no—
325#13063297—21no—
326#13063296—21no—
327#13063296C2311yescharacteristic
328#13063295—21no—
329#13063295—21no—
330#13063293—21no—
331#13063293—21no—
332Q8×Dic43—21no—
333Q8×Dic43—21no—
334Q8×Dic43C2311yescharacteristic
335C4×Dic86C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337C4×Dic86C2311yescharacteristic
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341C4×Dic86C2311yescharacteristic
342#13063290—21no—
343#13063290—21no—
344#13063290—21no—
345#13063290C2311yescharacteristic
346#13063290C2311yescharacteristic
347#13063290C2311yescharacteristic
348#13063290C2311yescharacteristic
349#13063290C2311yescharacteristic
350#13063290C2311yescharacteristic
351#13063290C2311yescharacteristic
352C4×D172—21no—
353C4×D172C2311yescharacteristic
354C4×D172C2311yescharacteristic
355D4×Dic43C2311yescharacteristic
356D4×Dic43C2311yescharacteristic
357#13063287—21no—
358#13063287—21no—
359#13063287C2311yescharacteristic
360#13063287C2311yescharacteristic
361C4×C22⋊D43—21no—
362C4×C22⋊D43—21no—
363C4×C22⋊D43—21no—
364C4×C22⋊D43—21no—
365(C22⋊D43)⋊C4—21no—
366(C22⋊D43)⋊C4—21no—
367(C22⋊D43)⋊C4—21no—
368(C22⋊D43)⋊C4—21no—
369(C22⋊D43)⋊C4—21no—
370#13063284—21no—
371#13063284—21no—
372#13063284—21no—
373#13063284—21no—
374#13063283—21no—
375#13063282—21no—
376#13063282—21no—
377#13063282C2311yescharacteristic
378#13063282C2311yescharacteristic
379#13063281—21no—
380#13063281—21no—
381C2×Dic43⋊C4—21no—
382C4⋊C4×D43—21no—
383C4⋊C4×D43C2311yescharacteristic
384C22⋊C4×D43—21no—
385C42×D43C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
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#13063250C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
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×SD16×C43C2311yescharacteristic
436C2×D8×C43C2311yescharacteristic
437C2×D8×C43C2311yescharacteristic
438C4⋊Q8×C43C2311yescharacteristic
439#127×C43C2311yescharacteristic
440#125×C43C2311yescharacteristic
441#125×C43C2311yescharacteristic
442#124×C43—21no—
443#124×C43C2311yescharacteristic
444#124×C43C2311yescharacteristic
445#123×C43—21no—
446#123×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43—21no—
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×D4×C43—21no—
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C2×C4⋊C4×C43—21no—
459#107×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462C4⋊C8×C43C2311yescharacteristic
463C4⋊C8×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465#103×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#102×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×C43C2×D411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×D4×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43C2411yescharacteristic
485C2×D4×C43C2411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—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—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C22×Dic43—21no—
502C22×Dic43—21no—
503C22×Dic43—21no—
504#10621902—41no—
505#10621902—41no—
506#10621900—41no—
507#10621900—41no—
508#10621900—82no—
509D4×D43—41no—
510D4×D43—41no—
511#10621898—82no—
512C2×D172—21no—
513C2×D172—21no—
514C2×D172—21no—
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—82no—
524C2×C4×D43C2×D411yescharacteristic
525C2×C4×D43C2×D411yescharacteristic
526C2×C4×D43C2411yescharacteristic
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86C2×D411yescharacteristic
530C2×Dic86C2×D411yescharacteristic
531C2×Dic86C2×D411yescharacteristic
532C2×Dic86C2411yescharacteristic
533C2×Dic86C2411yescharacteristic
534C2×Dic86C2411yescharacteristic
535C2×Dic86C2411yescharacteristic
536SD16×C43—41no—
537D8×C43—41no—
538D8×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×C43C2×D411yescharacteristic
550C4⋊C4×C43C2×D411yescharacteristic
551C4⋊C4×C43C2×D411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C22⋊C4×C43—21no—
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C42×C43—21no—
566C42×C43C2411yescharacteristic
567C42×C43C2411yescharacteristic
568C42×C43C2411yescharacteristic
569C22⋊Dic43—21no—
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580#10621885—41no—
581#10621885—41no—
582#10621885—41no—
583#10621883—41no—
584#10621883—41no—
585#10621883—41no—
586#10621883—41no—
587#10621883—41no—
588#10621883—41no—
589#10621883—41no—
590#10621882—41no—
591#10621882—41no—
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)⋊C4C2×D411yescharacteristic
606(C2×D43)⋊C4C2×D411yescharacteristic
607(C2×D43)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43C2×D411yescharacteristic
621C4⋊Dic43C2×D411yescharacteristic
622C4⋊Dic43C2×D411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652C4×Dic43—21no—
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⋊C8C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673Dic172—41no—
674Dic172—41no—
675Dic172—41no—
676#10621873—41no—
677#10621873—41no—
678#10621873—41no—
679#10621873—41no—
680#10621873—41no—
681#10621873—41no—
682C23×C43—21no—
683C23×C43—21no—
684C23×C43—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—41no—
694Q8×C43—81no—
695D4×C43—21no—
696D4×C43—21no—
697D4×C43—21no—
698D4×C43—21no—
699D4×C43—21no—
700D4×C43—21no—
701D4×C43—81no—
702D4×C43—81no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—42no—
709C2×C4×C43—81no—
710C2×C4×C43—81no—
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—
728C22⋊D43—81no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—42no—
736C2×Dic43—42no—
737C2×Dic43—81no—
738C2×Dic43C22×D411yescharacteristic
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745D172—21no—
746D172—21no—
747D172—21no—
748D172—21no—
749D172—42no—
750D172—81no—
751D172—81no—
752C4×D43—21no—
753C4×D43—21no—
754C4×D43—41no—
755C4×D43—41no—
756C4×D43—42no—
757C4×D43—42no—
758C4×D43—81no—
759C4×D43—81no—
760C4×D43—81no—
761C4×D43—81no—
762Dic86—21no—
763Dic86—21no—
764Dic86—21no—
765Dic86—21no—
766Dic86—21no—
767Dic86—21no—
768Dic86—21no—
769Dic86—21no—
770Dic86—41no—
771Dic86—41no—
772Dic86—41no—
773Dic86—81no—
774Dic86—81no—
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×C43—41no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43C23×D411yescharacteristic
794C2×D43—21no—
795C2×D43—21no—
796C2×D43—21no—
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#58511yescharacteristic
816C4×C43#58511yescharacteristic
817Dic43—21no—
818Dic43—21no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—41no—
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#3375—431no—
844#3370—431no—
845#3370D4311yescharacteristic, complemented
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—81no—
864C2×C43#348711yescharacteristic
865C2×C43#358511yescharacteristic
866C2×C43#358611yescharacteristic
867D43—41no—
868D43—81no—
869D43—81no—
870#563—861no—
871#563—861no—
872#559—431no—
873#559—431no—
874#559—431no—
875#559C2×D4311yescharacteristic
876Q82—431no—
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#554C2×D4311yescharacteristic, complemented
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#490C2×D4311yescharacteristic
931#489—431no—
932#489—431no—
933#489—431no—
934#489C2×D4311yescharacteristic, complemented
935#488—431no—
936#488C2×D4311yescharacteristic
937#486—431no—
938#486—431no—
939#484—431no—
940#484—431no—
941#483—431no—
942#480—431no—
943#479—431no—
944#479C2×D4311yescharacteristic, complemented
945#478—431no—
946#478—431no—
947#478—431no—
948#478C2×D4311yescharacteristic, complemented
949#477—431no—
950#477—431no—
951#474—431no—
952#474—431no—
953#474—431no—
954#474C2×D4311yescharacteristic
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#464—431no—
964#464—431no—
965#463—431no—
966#463—431no—
967#463—431no—
968#463—431no—
969#463—431no—
970#463—431no—
971#463C2×D4311yescharacteristic
972#463C2×D4311yescharacteristic, complemented
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#460—431no—
989#459—431no—
990#459C2×D4311yescharacteristic
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#442C2×D4311yescharacteristic
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#440—431no—
1026#440C2×D4311yescharacteristic, complemented
1027C4×Q16—431no—
1028C4×Q16—431no—
1029C4×Q16—431no—
1030C4×Q16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×D8—431no—
1034C4×D8C2×D4311yescharacteristic, complemented
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×Q16—431no—
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×SD16—431no—
1067C2×SD16C22×D4311yescharacteristic
1068C2×D8—431no—
1069C2×D8—431no—
1070C2×D8C22×D4311yescharacteristic
1071C2×D8C22×D4311yescharacteristic
1072C4⋊Q8—431no—
1073C4⋊Q8—431no—
1074C4⋊Q8—431no—
1075C4⋊Q8—431no—
1076C4⋊Q8—431no—
1077C4⋊Q8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—861no—
1081C4⋊Q8—861no—
1082C4⋊Q8—861no—
1083C4⋊Q8—861no—
1084C4⋊Q8—861no—
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—861no—
1112#125—861no—
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#125C22×D4311yescharacteristic
1124#125C22×D4311yescharacteristic
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—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
1160C22⋊Q8—431no—
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—431no—
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—431no—
1200C4×Q8—431no—
1201C4×Q8—861no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×Q8—861no—
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—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×D4—861no—
1226C4×D4—861no—
1227C4×D4C22×D4311yescharacteristic
1228C4×D4C22×D4311yescharacteristic
1229C4×D4C22×D4311yescharacteristic
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—21no—
1244C2×C4⋊C4—431no—
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#107—431no—
1253#107C22×D4311yescharacteristic
1254#107C22×D4311yescharacteristic
1255#106—431no—
1256#106C22×D4311yescharacteristic
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#103—431no—
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#102C22×D4311yescharacteristic
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—431no—
1326C2×Q8—431no—
1327C2×Q8—431no—
1328C2×Q8—431no—
1329C2×Q8—431no—
1330C2×Q8—431no—
1331C2×Q8—431no—
1332C2×Q8—861no—
1333C2×Q8—861no—
1334C2×Q8D4×D4311yescharacteristic
1335C2×Q8C23×D4311yescharacteristic
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—431no—
1339C2×D4—431no—
1340C2×D4—861no—
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—1721no—
1353C2×D4—1721no—
1354C2×D4C23×D4311yescharacteristic
1355C2×D4C23×D4311yescharacteristic
1356C2×D4C23×D4311yescharacteristic
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—431no—
1363C22×C4—431no—
1364C22×C4—431no—
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—1721no—
1376Q16—1721no—
1377Q16—1721no—
1378Q16—1721no—
1379Q16—1721no—
1380Q16—1721no—
1381SD16—41no—
1382SD16—1721no—
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—41no—
1396D8—41no—
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—431no—
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—861no—
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—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—431no—
1473C22⋊C4—431no—
1474C22⋊C4—431no—
1475C22⋊C4—431no—
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—431no—
1502C42—431no—
1503C42—431no—
1504C42—431no—
1505C42—431no—
1506C42—861no—
1507C42—861no—
1508C42—861no—
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—21no—
1524C23—431no—
1525C23—861no—
1526C23—861no—
1527C23—3441no—
1528C23—3441no—
1529C23—1722no—
1530Q8—21no—
1531Q8—21no—
1532Q8—41no—
1533Q8—81no—
1534Q8—861no—
1535Q8—861no—
1536Q8—861no—
1537Q8—861no—
1538Q8—861no—
1539Q8—861no—
1540Q8—861no—
1541Q8—861no—
1542Q8—3441no—
1543Q8—3441no—
1544Q8—1721no—
1545Q8—1721no—
1546Q8—1721no—
1547D4—21no—
1548D4—21no—
1549D4—21no—
1550D4—21no—
1551D4—21no—
1552D4—21no—
1553D4—81no—
1554D4—81no—
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—42no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—81no—
1580C2×C4—81no—
1581C2×C4—431no—
1582C2×C4—431no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—431no—
1587C2×C4—431no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—861no—
1596C2×C4—3441no—
1597C2×C4—3441no—
1598C2×C4—3441no—
1599C2×C4—3441no—
1600C2×C4—3441no—
1601C2×C4—1721no—
1602C2×C4—1721no—
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—41no—
1629C22—41no—
1630C22—41no—
1631C22—861no—
1632C22—861no—
1633C22—861no—
1634C22—3444no—
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—861no—
1654C4—861no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—861no—
1659C4—861no—
1660C4—1721no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4#1458373511yescharacteristic
1667C4#1458373611yescharacteristic
1668C2—81no—
1669C2—81no—
1670C2—81no—
1671C2—3441no—
1672C2—3441no—
1673C2—1721no—
1674C2#1914825211yescharacteristic
1675C2#1914937011yescharacteristic
1676C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3370C2
socleC22×C43C23×D4
hypercenter#3370D43
hypocenterC43#61939
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3370

Complements

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

NH ≅ G/Ntype
1. #19149086C2semidirect
2. #19148443C2semidirect
3. #19147675C2semidirect
4. #19147673C2semidirect
5. #19147666C2semidirect
6. #19147658C2semidirect
7. #19147650C2semidirect
8. #19147648C2semidirect
9. #19147619C2semidirect
10. #19147613C2semidirect
11. #19147443C2semidirect
12. #19147435C2semidirect
13. #19147412C2semidirect
14. #19147406C2semidirect
15. #19147348C2semidirect
16. #19147327C2semidirect
17. #19147321C2semidirect
18. #19145688C2semidirect
19. #19145686C2semidirect
20. #19145670C2semidirect
21. #19145668C2semidirect
22. #19145631C2semidirect
23. #19145607C2semidirect
24. #19144855C2semidirect
25. #19144853C2semidirect
26. #19144816C2semidirect
27. #19144814C2semidirect
28. #19144731C2semidirect
29. #19144696C2semidirect
30. #19143698C2semidirect
31. C43×#3370C2semidirect
37. #14583629C22semidirect
38. #14583628C22semidirect
39. #14583626C22semidirect
40. #14583626C22semidirect
43. #14583619C22semidirect
44. #14583619C22semidirect
45. #14583619C22semidirect
76. #14583294C22semidirect
78. #14583293C22semidirect
79. #14583290C22semidirect
82. #14583287C22semidirect
87. #14583266C22semidirect
89. #14583262C22semidirect
90. #14583261C22semidirect
100. #14583203C22semidirect
103. #14583196C22semidirect
104. #14583193C22semidirect
105. #14583192C22semidirect
106. #14583178C22semidirect
107. #14583177C22semidirect
112. #14583122C22semidirect
115. #14583120C22semidirect
116. #14583119C22semidirect
118. #14583118C22semidirect
120. #14583114C22semidirect
122. #14583113C22semidirect
124. #14583112C22semidirect
125. #14583110C22semidirect
126. #14583109C22semidirect
127. #14583108C22semidirect
128. #14583108C22semidirect
130. #14583105C22semidirect
132. #14583104C22semidirect
138. #14583098C22semidirect
139. #14583098C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
162. #14583005C22semidirect
163. #14583003C22semidirect
165. #14583001C22semidirect
167. #14582999C22semidirect
168. #14582999C22semidirect
171. #14582998C22semidirect
174. #14582996C22semidirect
175. C4×Dic172C22semidirect
176. #14582993C22semidirect
177. C4×#10621885C22semidirect
178. #14582991C22semidirect
179. #14582990C22semidirect
180. #14582986C22semidirect
181. C4×#10621882C22semidirect
189. C43×#554C22semidirect
191. C43×#489C22semidirect
193. C43×#479C22semidirect
194. C43×#478C22semidirect
197. C43×#463C22semidirect
199. C43×#446C22semidirect
201. C43×#440C22semidirect
202. C4×D8×C43C22semidirect
845. #3370D43semidirect
887. #554C2×D43semidirect
934. #489C2×D43semidirect
944. #479C2×D43semidirect
948. #478C2×D43semidirect
972. #463C2×D43semidirect
1010. #446C2×D43semidirect
1026. #440C2×D43semidirect
1034. C4×D8C2×D43semidirect
1041. C43#61939semidirect

Maximal subgroups

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

subgroupindex
#191490862
#191484432
#191476752
#191476732
#191476662
#191476582
#191476502
#191476482
#191476192
#191476132
#191474432
#191474352
#191474122
#191474062
#191473482
#191473272
#191473212
#191456882
#191456862
#191456702
#191456682
#191456312
#191456072
#191448552
#191448532
#191448162
#191448142
#191447312
#191446962
#191436982
C43×#33702
#6193943