Finite Group Databasebeta

← #25988639

Subgroups — #25988639

Order 11008.

1762 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148994C211yesmaximal, characteristic, complemented
2#19148485C211yesmaximal, characteristic, complemented
3#19147639C211yesmaximal, characteristic, complemented
4#19147638C211yesmaximal, characteristic, complemented
5#19147635C211yesmaximal, characteristic, complemented
6#19147632C211yesmaximal, characteristic, complemented
7#19147618C211yesmaximal, characteristic, complemented
8#19147616C211yesmaximal, characteristic, complemented
9#19147615C211yesmaximal, characteristic, complemented
10#19147614C211yesmaximal, characteristic, complemented
11#19147429C211yesmaximal, characteristic, complemented
12#19147428C211yesmaximal, characteristic, complemented
13#19147417C211yesmaximal, characteristic, complemented
14#19147351C211yesmaximal, characteristic, complemented
15#19147348C211yesmaximal, characteristic, complemented
16#19147347C211yesmaximal, characteristic, complemented
17#19147346C211yesmaximal, characteristic, complemented
18#19145657C211yesmaximal, characteristic, complemented
19#19145655C211yesmaximal, characteristic, complemented
20#19145648C211yesmaximal, characteristic, complemented
21#19145642C211yesmaximal, characteristic, complemented
22#19145583C211yesmaximal, characteristic, complemented
23#19145580C211yesmaximal, characteristic, complemented
24#19144888C211yesmaximal, characteristic, complemented
25#19144883C211yesmaximal, characteristic, complemented
26#19144840C211yesmaximal, characteristic, complemented
27#19144837C211yesmaximal, characteristic, complemented
28#19144749C211yesmaximal, characteristic, complemented
29#19144744C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3376C211yesmaximal, characteristic, complemented
32#14583645—21no—
33#14583645—21no—
34#14583634C2211yescharacteristic
35#14583634C2211yescharacteristic
36#14583632C2211yescharacteristic
37#14583631C2211yescharacteristic
38#14583623C2211yescharacteristic
39#14583621C2211yescharacteristic
40#14583618C2211yescharacteristic
41#14583610C2211yescharacteristic, complemented
42#14583605C2211yescharacteristic, complemented
43#14583605C2211yescharacteristic, complemented
44#14583576—21no—
45#14583574—21no—
46#14583574—21no—
47#14583573—21no—
48#14583571C2211yescharacteristic, complemented
49#14583570C2211yescharacteristic, complemented
50#14583570C2211yescharacteristic, complemented
51#14583570C2211yescharacteristic, complemented
52#14583551—21no—
53#14583550—21no—
54#14583519—21no—
55#14583515—21no—
56#14583505C2211yescharacteristic
57#14583505C2211yescharacteristic
58#14583500C2211yescharacteristic
59#14583500C2211yescharacteristic
60#14583480—21no—
61#14583479—21no—
62#14583479—21no—
63#14583479—21no—
64#14583474C2211yescharacteristic
65#14583467C2211yescharacteristic
66#14583453C2211yescharacteristic
67#14583450C2211yescharacteristic
68#14583446C2211yescharacteristic
69#14583432—21no—
70#14583427—21no—
71#124×D43C2211yescharacteristic
72#14583375C2211yescharacteristic
73#14583371C2211yescharacteristic
74C4×#10621902C2211yescharacteristic
75#14583289C2211yescharacteristic
76#14583289C2211yescharacteristic
77#14583288C2211yescharacteristic
78#14583288C2211yescharacteristic, complemented
79#14583287C2211yescharacteristic
80#14583285C2211yescharacteristic
81#14583285C2211yescharacteristic
82#14583285C2211yescharacteristic, complemented
83#14583276C2211yescharacteristic
84#14583274C2211yescharacteristic
85#14583273C2211yescharacteristic, complemented
86#14583270C2211yescharacteristic, complemented
87#14583266C2211yescharacteristic, complemented
88#14583265C2211yescharacteristic
89#14583262C2211yescharacteristic
90#14583261C2211yescharacteristic
91#14583260C2211yescharacteristic
92#14583257C2211yescharacteristic
93#14583256C2211yescharacteristic, complemented
94#14583255C2211yescharacteristic
95#14583255C2211yescharacteristic, complemented
96#14583226C2211yescharacteristic
97#14583225C2211yescharacteristic
98#14583225C2211yescharacteristic
99#14583222C2211yescharacteristic
100#14583209C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583203C2211yescharacteristic, complemented
103#14583201C2211yescharacteristic
104#14583198C2211yescharacteristic
105#14583196C2211yescharacteristic
106#14583182C2211yescharacteristic, complemented
107#14583178C2211yescharacteristic, complemented
108#14583176C2211yescharacteristic, complemented
109#14583117C2211yescharacteristic
110#14583117C2211yescharacteristic
111#14583117C2211yescharacteristic
112#14583117C2211yescharacteristic
113#14583117C2211yescharacteristic, complemented
114#14583117C2211yescharacteristic, complemented
115#14583115C2211yescharacteristic
116#14583115C2211yescharacteristic, complemented
117#14583114C2211yescharacteristic
118#14583114C2211yescharacteristic, complemented
119#14583113C2211yescharacteristic
120#14583113C2211yescharacteristic
121#14583111C2211yescharacteristic
122#14583111C2211yescharacteristic
123#14583103C2211yescharacteristic, complemented
124#14583103C2211yescharacteristic, complemented
125#14583101C2211yescharacteristic, complemented
126#14583100C2211yescharacteristic, complemented
127#14583099C2211yescharacteristic, complemented
128#14583099C2211yescharacteristic, complemented
129#14583098C2211yescharacteristic, complemented
130#14583097C2211yescharacteristic, complemented
131#14583097C2211yescharacteristic, complemented
132#14583095C2211yescharacteristic
133#14583095C2211yescharacteristic
134#14583095C2211yescharacteristic, complemented
135#14583094C2211yescharacteristic
136#14583094C2211yescharacteristic
137#14583093C2211yescharacteristic
138#14583093C2211yescharacteristic
139#14583093C2211yescharacteristic
140#14583093C2211yescharacteristic, complemented
141#14583092C2211yescharacteristic
142#14583047C2211yescharacteristic
143#14583047C2211yescharacteristic
144#14583047C2211yescharacteristic
145#14583043C2211yescharacteristic
146#14583039C2211yescharacteristic
147#14583039C2211yescharacteristic
148#14583039C2211yescharacteristic
149#14583036C2211yescharacteristic
150#14583034C2211yescharacteristic
151#14583034C2211yescharacteristic
152#14583034C2211yescharacteristic
153#14583031C2211yescharacteristic
154#14583030C2211yescharacteristic, complemented
155#14583029C2211yescharacteristic, complemented
156#14583028C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583027C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583026C2211yescharacteristic, complemented
161#14583012C2211yescharacteristic
162#14583012C2211yescharacteristic, complemented
163#14583010C2211yescharacteristic
164#14583010C2211yescharacteristic, complemented
165#14583010C2211yescharacteristic, complemented
166#14583009C2211yescharacteristic, complemented
167#14583008C2211yescharacteristic
168#14583002C2211yescharacteristic, complemented
169#14583002C2211yescharacteristic, complemented
170#14583002C2211yescharacteristic, complemented
171#14582999C2211yescharacteristic, complemented
172#14582998C2211yescharacteristic, complemented
173#14582997C2211yescharacteristic, complemented
174#14582997C2211yescharacteristic, complemented
175C4×#10621873C2211yescharacteristic, complemented
176#14582986C2211yescharacteristic, complemented
177#14582984C2211yescharacteristic, complemented
178#14582981C2211yescharacteristic
179C4×#10621882C2211yescharacteristic
180C4×#10621882C2211yescharacteristic
181#14582979C2211yescharacteristic
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#556C2211yescharacteristic
189C43×#554C2211yescharacteristic, complemented
190C43×#491C2211yescharacteristic, complemented
191C43×#489C2211yescharacteristic
192C43×#488C2211yescharacteristic
193C43×#479C2211yescharacteristic, complemented
194C43×#478C2211yescharacteristic
195C43×#475C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic
197C43×#463C2211yescharacteristic
198C43×#461C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#442C2211yescharacteristic
201C43×#440C2211yescharacteristic, complemented
202C4×SD16×C43C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902—21no—
205C2×#10621902C2311yescharacteristic
206C2×#10621898—21no—
207C2×#10621898—21no—
208C2×#10621898—21no—
209C2×#10621898—21no—
210C2×Q8×D43C2311yescharacteristic
211C2×D4×D43C2311yescharacteristic
212C2×#10621873C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×D344C2311yescharacteristic
227C2×D344C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621882C2311yescharacteristic
231C2×#10621882C2311yescharacteristic
232C2×#10621882C2311yescharacteristic
233#13063324D411yescharacteristic
234#13063324C2311yescharacteristic
235#13063323D411yescharacteristic
236#13063323C2311yescharacteristic
237#13063322C2311yescharacteristic
238#13063322C2311yescharacteristic
239#13063322C2311yescharacteristic
240#13063322C2311yescharacteristic
241#13063321C2311yescharacteristic
242#13063321C2311yescharacteristic
243#13063321C2311yescharacteristic
244#13063321C2311yescharacteristic
245#13063320—21no—
246#13063320—21no—
247#13063320—21no—
248#13063319—21no—
249#13063318—21no—
250#13063318—21no—
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063315D411yescharacteristic
254#13063315D411yescharacteristic
255#13063314—21no—
256#13063314—21no—
257#13063314C2311yescharacteristic
258#13063314C2311yescharacteristic
259#13063314C2311yescharacteristic
260#13063313—21no—
261#13063313C2311yescharacteristic
262#13063313C2311yescharacteristic
263#13063312C2311yescharacteristic
264#13063311—21no—
265#13063311—21no—
266#13063311—21no—
267#13063311—21no—
268#13063311—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310—21no—
277#13063310—21no—
278#13063310—21no—
279#13063309—21no—
280#13063308—21no—
281#13063308—21no—
282#13063308—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307—21no—
287#13063305—21no—
288#13063305—21no—
289#13063305—21no—
290#13063305—21no—
291#13063305D411yescharacteristic
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303D411yescharacteristic
300#13063303D411yescharacteristic
301#13063302—21no—
302#13063301—21no—
303#13063301—21no—
304#13063301D411yescharacteristic
305#13063300—21no—
306#13063300—21no—
307#13063300—21no—
308#13063300—21no—
309#13063300—21no—
310#13063300—21no—
311#13063300—21no—
312#13063300—21no—
313#13063300C2311yescharacteristic
314#13063300C2311yescharacteristic
315#13063300C2311yescharacteristic
316#13063299—21no—
317#13063299—21no—
318#13063299—21no—
319#13063299—21no—
320#13063299—21no—
321#13063298—21no—
322#13063298—21no—
323#13063298—21no—
324#13063298—21no—
325#13063298—21no—
326#13063298—21no—
327#13063298—21no—
328#13063298—21no—
329#13063298—21no—
330#13063298—21no—
331#13063298—21no—
332#13063296C2311yescharacteristic
333#13063295—21no—
334#13063295—21no—
335Q8×Dic43C2311yescharacteristic
336Q8×Dic43C2311yescharacteristic
337C4×Dic86—21no—
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341C4×Dic86C2311yescharacteristic
342#13063290—21no—
343#13063290C2311yescharacteristic
344C4×D172—21no—
345C4×D172—21no—
346C4×D172C2311yescharacteristic
347C4×D172C2311yescharacteristic
348C4×D172C2311yescharacteristic
349C4×D172C2311yescharacteristic
350C4×D172C2311yescharacteristic
351D4×Dic43C2311yescharacteristic
352#13063287—21no—
353#13063287—21no—
354#13063287—21no—
355#13063287C2311yescharacteristic
356#13063287C2311yescharacteristic
357#13063287C2311yescharacteristic
358#13063287C2311yescharacteristic
359#13063287C2311yescharacteristic
360#13063287C2311yescharacteristic
361#13063287C2311yescharacteristic
362#13063287C2311yescharacteristic
363C4×C22⋊D43—21no—
364C4×C22⋊D43—21no—
365C4×C22⋊D43—21no—
366(C22⋊D43)⋊C4—21no—
367(C22⋊D43)⋊C4—21no—
368#13063283—21no—
369#13063283—21no—
370#13063283—21no—
371#13063283C2311yescharacteristic
372#13063282—21no—
373#13063282—21no—
374#13063282C2311yescharacteristic
375#13063282C2311yescharacteristic
376#13063281—21no—
377C4⋊C4×D43—21no—
378C4⋊C4×D43—21no—
379C4⋊C4×D43—21no—
380C2×(C2×D43)⋊C4—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C42×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#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063245C2311yescharacteristic
414#13063245C2311yescharacteristic
415#13063245C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422(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×SD16×C43C2311yescharacteristic
437C2×D8×C43C2311yescharacteristic
438C4⋊Q8×C43C2311yescharacteristic
439C4⋊Q8×C43C2311yescharacteristic
440#126×C43—21no—
441#126×C43—21no—
442#125×C43C2311yescharacteristic
443#125×C43C2311yescharacteristic
444#124×C43C2311yescharacteristic
445#124×C43C2311yescharacteristic
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43—21no—
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458C2×C4⋊C4×C43—21no—
459#107×C43C2311yescharacteristic
460#106×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462C4⋊C8×C43C2311yescharacteristic
463C4⋊C8×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465#103×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×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×Q8×C43C2411yescharacteristic
483C2×D4×C43C2411yescharacteristic
484C2×D4×C43C2411yescharacteristic
485C22×C4×C43—21no—
486C22×C4×C43—21no—
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C2×C22⋊D43—21no—
490C2×C22⋊D43—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—
500#10621902—41no—
501#10621902—41no—
502#10621902—82no—
503#10621902—82no—
504Q8×D43—41no—
505Q8×D43—41no—
506D4×D43—41no—
507D4×D43—41no—
508#10621898—82no—
509#10621898—82no—
510#10621898—82no—
511#10621898—82no—
512C2×D172—21no—
513C2×D172—21no—
514C2×D172—21no—
515C2×D172—21no—
516C2×D172—21no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172—21no—
523C2×D172—21no—
524C2×D172C2411yescharacteristic
525C2×D172C2411yescharacteristic
526C2×D172C2411yescharacteristic
527C2×D172C2411yescharacteristic
528C2×D172C2411yescharacteristic
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×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43C2×D411yescharacteristic
545C2×C4×D43C2×D411yescharacteristic
546C2×C4×D43C2411yescharacteristic
547C2×Dic86—21no—
548C2×Dic86—21no—
549C2×Dic86C2×D411yescharacteristic
550C2×Dic86C2×D411yescharacteristic
551C2×Dic86C2×D411yescharacteristic
552C2×Dic86C2411yescharacteristic
553SD16×C43—41no—
554SD16×C43—41no—
555D8×C43—41no—
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C2×C8×C43C2411yescharacteristic
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43C2×D411yescharacteristic
570C4⋊C4×C43C2×D411yescharacteristic
571C4⋊C4×C43C2×D411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C4⋊C4×C43C2411yescharacteristic
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C42×C43—21no—
585C42×C43—21no—
586C42×C43C2411yescharacteristic
587C42×C43C2411yescharacteristic
588C42×C43C2411yescharacteristic
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593#10621884—41no—
594#10621884—41no—
595#10621884—41no—
596#10621884—41no—
597#10621884—41no—
598#10621884—41no—
599#10621883—41no—
600#10621882—41no—
601#10621882—41no—
602#10621882—41no—
603#10621882—41no—
604#10621882—41no—
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)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4C2×D411yescharacteristic
633(C2×D43)⋊C4C2×D411yescharacteristic
634(C2×D43)⋊C4C2×D411yescharacteristic
635(C2×D43)⋊C4C2×D411yescharacteristic
636C4⋊Dic43—21no—
637C4⋊Dic43—21no—
638C4⋊Dic43—21no—
639C4⋊Dic43—21no—
640C4⋊Dic43C2×D411yescharacteristic
641C4⋊Dic43C2×D411yescharacteristic
642C4⋊Dic43C2×D411yescharacteristic
643C4⋊Dic43C2411yescharacteristic
644C4⋊Dic43C2411yescharacteristic
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43C2×D411yescharacteristic
668C4×Dic43C2×D411yescharacteristic
669C4×Dic43C2411yescharacteristic
670C4×Dic43C2411yescharacteristic
671C4×Dic43C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673C2×C43⋊C8C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676D344—41no—
677D344—41no—
678D344—41no—
679D344—41no—
680D344—41no—
681D344—41no—
682#10621873—41no—
683#10621873—41no—
684#10621873—41no—
685C23×C43—21no—
686C23×C43—21no—
687C22×D43—21no—
688C22×D43—21no—
689C22×D43—21no—
690C22×D43—21no—
691C22×D43—21no—
692C22×D43—42no—
693C22×D43—81no—
694C22×D43—81no—
695C22×D43C22×D411yescharacteristic
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—21no—
699Q8×C43—21no—
700Q8×C43—41no—
701Q8×C43—81no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—21no—
705D4×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—21no—
712C2×C4×C43—42no—
713C2×C4×C43—81no—
714C2×C4×C43—81no—
715C2×C4×C43—81no—
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C2511yescharacteristic
723C22⋊D43—42no—
724C22⋊D43—42no—
725C22⋊D43—81no—
726C22⋊D43—81no—
727C22⋊D43—81no—
728C22⋊D43—81no—
729C22⋊D43—81no—
730C22⋊D43—81no—
731C22⋊D43—81no—
732C22⋊D43—81no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—81no—
737C2×Dic43C22×D411yescharacteristic
738C2×Dic43C22×D411yescharacteristic
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744D172—21no—
745D172—21no—
746D172—21no—
747D172—21no—
748D172—21no—
749D172—21no—
750D172—21no—
751D172—21no—
752D172—21no—
753D172—21no—
754D172—42no—
755D172—42no—
756D172—81no—
757D172—81no—
758D172—81no—
759D172—81no—
760D172—81no—
761D172—81no—
762D172—81no—
763D172—81no—
764D172—81no—
765D172—81no—
766C4×D43—21no—
767C4×D43—21no—
768C4×D43—41no—
769C4×D43—41no—
770C4×D43—42no—
771C4×D43—42no—
772C4×D43—42no—
773C4×D43—42no—
774C4×D43—42no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43—81no—
783C4×D43—81no—
784C4×D43—81no—
785Dic86—21no—
786Dic86—21no—
787Dic86—41no—
788Dic86—41no—
789Dic86—41no—
790Dic86—42no—
791Dic86—81no—
792C8×C43—21no—
793C8×C43—21no—
794C8×C43—21no—
795C8×C43—21no—
796C43⋊C8—21no—
797C43⋊C8—21no—
798C43⋊C8—21no—
799C43⋊C8—21no—
800#61942—431nomaximal, Sylow
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43C23×D411yescharacteristic
808C2×D43—21no—
809C2×D43—21no—
810C2×D43—21no—
811C2×D43—41no—
812C2×D43—41no—
813C2×D43—41no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—41no—
821C2×D43—41no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—41no—
826C2×D43—162no—
827C4×C43—21no—
828C4×C43—21no—
829C4×C43—21no—
830C4×C43—21no—
831C4×C43—21no—
832C4×C43—21no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43—41no—
838C4×C43—41no—
839C4×C43#58511yescharacteristic
840C4×C43#58511yescharacteristic
841Dic43—21no—
842Dic43—21no—
843Dic43—21no—
844Dic43—21no—
845Dic43—21no—
846Dic43—21no—
847Dic43—21no—
848Dic43—41no—
849Dic43—41no—
850Dic43—41no—
851#3548—431no—
852#3510—431no—
853#3399—431no—
854#3399—431no—
855#3399—431no—
856#3399—431no—
857#3397—431no—
858#3397—431no—
859#3397—431no—
860#3397—431no—
861#3376—431no—
862#3376—431no—
863#3376—431no—
864#3376D4311yescharacteristic, complemented
865#3370—431no—
866#3370—431no—
867#3370—431no—
868#3370—431no—
869#3221—431no—
870#3221—431no—
871#3220—431no—
872#3220—431no—
873#3213—431no—
874#3213—431no—
875#3126—431no—
876#3126—431no—
877#3122—431no—
878#3122—431no—
879#3115—431no—
880#3115—431no—
881#2987—431no—
882C2×C43—81no—
883C2×C43—81no—
884C2×C43#348711yescharacteristic
885C2×C43#358511yescharacteristic
886C2×C43#358511yescharacteristic
887D43—41no—
888D43—81no—
889D43—81no—
890D43—81no—
891D43—81no—
892D43—81no—
893#562—861no—
894#562—861no—
895#559—431no—
896#559—431no—
897#559—431no—
898#559—431no—
899#556—431no—
900#556—431no—
901#556—431no—
902#556C2×D4311yescharacteristic
903#554—431no—
904#554—431no—
905#554—431no—
906#554C2×D4311yescharacteristic, complemented
907#551—861no—
908#551—861no—
909#551—861no—
910#551—861no—
911#550—431no—
912#550—431no—
913#550—431no—
914#550—431no—
915#547—861no—
916#547—861no—
917#542—861no—
918#542—861no—
919#540—431no—
920#540—431no—
921#540—431no—
922#540—431no—
923#537—861no—
924#537—861no—
925#537—861no—
926#537—861no—
927#536—431no—
928#535—431no—
929#533—431no—
930#532—431no—
931#532—431no—
932#529—861no—
933#529—861no—
934C2×#124—431no—
935#519—431no—
936#518—431no—
937C4×#41—431no—
938#496—431no—
939#496—431no—
940#496—431no—
941#496—431no—
942#496—431no—
943#496—431no—
944#496—431no—
945#496—431no—
946#493—431no—
947#493—431no—
948#492—431no—
949#492—431no—
950#491—431no—
951#491C2×D4311yescharacteristic, complemented
952#490—431no—
953#490—431no—
954#489—431no—
955#489—431no—
956#489—431no—
957#489C2×D4311yescharacteristic
958#488—431no—
959#488—431no—
960#488—431no—
961#488C2×D4311yescharacteristic
962#482—431no—
963#482—431no—
964#482—431no—
965#482—431no—
966#479—431no—
967#479—431no—
968#479—431no—
969#479C2×D4311yescharacteristic, complemented
970#478—431no—
971#478—431no—
972#478—431no—
973#478C2×D4311yescharacteristic
974#475—431no—
975#475C2×D4311yescharacteristic, complemented
976#474—431no—
977#474—431no—
978#463—431no—
979#463—431no—
980#463—431no—
981#463—431no—
982#463—431no—
983#463—431no—
984#463—431no—
985#463—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#463—431no—
992#463C2×D4311yescharacteristic
993#463C2×D4311yescharacteristic
994#461—431no—
995#461—431no—
996#461—431no—
997#461C2×D4311yescharacteristic, complemented
998#460—431no—
999#460—431no—
1000#460—431no—
1001#460—431no—
1002#460—431no—
1003#460—431no—
1004#459—431no—
1005#459—431no—
1006#459—431no—
1007#459—431no—
1008#459—431no—
1009#459—431no—
1010#459—431no—
1011#459—431no—
1012#459—431no—
1013#459—431no—
1014#449—431no—
1015#449—431no—
1016#449—431no—
1017#449—431no—
1018#448—431no—
1019#448—431no—
1020#448—431no—
1021#448—431no—
1022#447—431no—
1023#447—431no—
1024#447—431no—
1025#447—431no—
1026#446—431no—
1027#446—431no—
1028#446—431no—
1029#446—431no—
1030#446—431no—
1031#446—431no—
1032#446—431no—
1033#446C2×D4311yescharacteristic, complemented
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442—431no—
1041#442C2×D4311yescharacteristic
1042#440—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440C2×D4311yescharacteristic, complemented
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16C2×D4311yescharacteristic, complemented
1054C4×D8—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058#433—431no—
1059#433—431no—
1060#433—431no—
1061#433—431no—
1062#432—431no—
1063#432—431no—
1064C43#6194211yescharacteristic, complemented, Sylow
1065C2×#41—431no—
1066C2×#41—861no—
1067C2×#41—861no—
1068C2×#41—861no—
1069C2×#41—861no—
1070C2×#41—861no—
1071C2×#41—861no—
1072C22×Q8—431no—
1073C22×D4—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16—431no—
1083C2×SD16—431no—
1084C2×SD16C22×D4311yescharacteristic
1085C2×SD16C22×D4311yescharacteristic
1086C2×D8—431no—
1087C2×D8—431no—
1088C2×D8—431no—
1089C2×D8—431no—
1090C2×D8—431no—
1091C2×D8—431no—
1092C2×D8—431no—
1093C2×D8—431no—
1094C2×D8—431no—
1095C2×D8—431no—
1096C2×D8—431no—
1097C2×D8C22×D4311yescharacteristic
1098C4⋊Q8—431no—
1099C4⋊Q8—431no—
1100C4⋊Q8—431no—
1101C4⋊Q8—431no—
1102C4⋊Q8C22×D4311yescharacteristic
1103C4⋊Q8C22×D4311yescharacteristic
1104#127—431no—
1105#127—431no—
1106#127—431no—
1107#127—431no—
1108#127—431no—
1109#127—431no—
1110#127—431no—
1111#127—431no—
1112#126—21no—
1113#126—21no—
1114#126—861no—
1115#126—861no—
1116#126—861no—
1117#126—861no—
1118#126—861no—
1119#126—861no—
1120#125—431no—
1121#125—431no—
1122#125—431no—
1123#125—431no—
1124#125C22×D4311yescharacteristic
1125#125C22×D4311yescharacteristic
1126#124—431no—
1127#124—431no—
1128#124—431no—
1129#124—431no—
1130#124—431no—
1131#124—431no—
1132#124—861no—
1133#124—861no—
1134#124—861no—
1135#124—861no—
1136#124—861no—
1137#124—861no—
1138#124—861no—
1139#124—861no—
1140#124C22×D4311yescharacteristic
1141#124C22×D4311yescharacteristic
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—
1151#123—861no—
1152#123—861no—
1153#123—861no—
1154#123—861no—
1155#123—861no—
1156#123—861no—
1157#123—861no—
1158#123—861no—
1159#123—861no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8—21no—
1164C22⋊Q8—431no—
1165C22⋊Q8—431no—
1166C22⋊Q8—431no—
1167C22⋊Q8—431no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8—861no—
1173C22⋊Q8—861no—
1174C22⋊Q8—861no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182#121—431no—
1183#121—431no—
1184#121—431no—
1185#121—431no—
1186#121—861no—
1187#121—861no—
1188#121—861no—
1189#121—861no—
1190#121—861no—
1191#121—861no—
1192#121—861no—
1193#121—861no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#120—861no—
1211#120—861no—
1212C4×Q8—431no—
1213C4×Q8—431no—
1214C4×Q8—431no—
1215C4×Q8—431no—
1216C4×Q8—431no—
1217C4×Q8—431no—
1218C4×Q8—431no—
1219C4×Q8—861no—
1220C4×Q8—861no—
1221C4×Q8C22×D4311yescharacteristic
1222C4×Q8C22×D4311yescharacteristic
1223C4×Q8C22×D4311yescharacteristic
1224C4×D4—431no—
1225C4×D4—431no—
1226C4×D4—431no—
1227C4×D4—431no—
1228C4×D4—431no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—861no—
1239C4×D4—861no—
1240C4×D4—861no—
1241C4×D4—861no—
1242C4×D4—861no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4C22×D4311yescharacteristic
1249C4×D4C22×D4311yescharacteristic
1250C4×D4C22×D4311yescharacteristic
1251C4×D4C22×D4311yescharacteristic
1252#117—21no—
1253#117—431no—
1254#117—431no—
1255#117—431no—
1256#117—861no—
1257#117—861no—
1258#117—861no—
1259#117—861no—
1260#117—861no—
1261#117—861no—
1262C2×C4⋊C4—21no—
1263C2×C4⋊C4—861no—
1264C2×C4⋊C4—861no—
1265C2×C4⋊C4—861no—
1266C2×C22⋊C4—861no—
1267C2×C22⋊C4—861no—
1268C2×C22⋊C4—861no—
1269C2×C22⋊C4—861no—
1270C2×C42—431no—
1271C2×C42—861no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#107C22×D4311yescharacteristic
1276#106—431no—
1277#106—431no—
1278#106C22×D4311yescharacteristic
1279#106C22×D4311yescharacteristic
1280C4⋊C8—431no—
1281C4⋊C8—431no—
1282C4⋊C8—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8—431no—
1289C4⋊C8C22×D4311yescharacteristic
1290C4⋊C8C22×D4311yescharacteristic
1291C4⋊C8C22×D4311yescharacteristic
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103C22×D4311yescharacteristic
1299#103C22×D4311yescharacteristic
1300#103C22×D4311yescharacteristic
1301#103C22×D4311yescharacteristic
1302#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102—431no—
1320#102C22×D4311yescharacteristic
1321#102C22×D4311yescharacteristic
1322#102C22×D4311yescharacteristic
1323#102C22×D4311yescharacteristic
1324C22⋊C8—431no—
1325C22⋊C8—431no—
1326C22⋊C8—431no—
1327C22⋊C8—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332#97—431no—
1333#97—431no—
1334#97C22×D4311yescharacteristic
1335#97C22×D4311yescharacteristic
1336C4×C8—431no—
1337C4×C8—431no—
1338C4×C8—431no—
1339C4×C8C22×D4311yescharacteristic
1340C24—861no—
1341#41—3442no—
1342#41—3442no—
1343#41—3442no—
1344#41—3442no—
1345#41—3442no—
1346#41—3442no—
1347#41—1721no—
1348#41—1721no—
1349C2×Q8—21no—
1350C2×Q8—431no—
1351C2×Q8—431no—
1352C2×Q8—431no—
1353C2×Q8—431no—
1354C2×Q8—861no—
1355C2×Q8—861no—
1356C2×Q8—1721no—
1357C2×Q8—1721no—
1358C2×Q8D4×D4311yescharacteristic
1359C2×Q8C23×D4311yescharacteristic
1360C2×Q8C23×D4311yescharacteristic
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—431no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—861no—
1379C2×D4—861no—
1380C2×D4—861no—
1381C2×D4—861no—
1382C2×D4—861no—
1383C2×D4—861no—
1384C2×D4—861no—
1385C2×D4—861no—
1386C2×D4—861no—
1387C2×D4—861no—
1388C2×D4—1721no—
1389C2×D4—1721no—
1390C2×D4C23×D4311yescharacteristic
1391C2×D4C23×D4311yescharacteristic
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—431no—
1397C22×C4—431no—
1398C22×C4—431no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—861no—
1409C22×C4—861no—
1410C22×C4—861no—
1411C22×C4—861no—
1412C22×C4—861no—
1413C22×C4—861no—
1414C22×C4—861no—
1415SD16—41no—
1416SD16—41no—
1417SD16—1721no—
1418SD16—1721no—
1419SD16—1721no—
1420SD16—1721no—
1421SD16—1721no—
1422SD16—1721no—
1423SD16—1721no—
1424SD16—1721no—
1425SD16—1721no—
1426SD16—1721no—
1427D8—41no—
1428D8—1721no—
1429D8—1721no—
1430D8—1721no—
1431D8—1721no—
1432D8—1721no—
1433D8—1721no—
1434D8—1721no—
1435D8—1721no—
1436D8—1721no—
1437D8—1721no—
1438D8—1721no—
1439C2×C8—431no—
1440C2×C8—431no—
1441C2×C8—431no—
1442C2×C8—431no—
1443C2×C8C23×D4311yescharacteristic
1444C2×C8C23×D4311yescharacteristic
1445C2×C8C23×D4311yescharacteristic
1446C2×C8C23×D4311yescharacteristic
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—431no—
1457C4⋊C4—431no—
1458C4⋊C4—431no—
1459C4⋊C4—431no—
1460C4⋊C4—431no—
1461C4⋊C4—431no—
1462C4⋊C4—431no—
1463C4⋊C4—431no—
1464C4⋊C4—431no—
1465C4⋊C4—431no—
1466C4⋊C4—431no—
1467C4⋊C4—431no—
1468C4⋊C4—431no—
1469C4⋊C4—431no—
1470C4⋊C4—431no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4D4×D4311yescharacteristic
1483C4⋊C4D4×D4311yescharacteristic
1484C4⋊C4D4×D4311yescharacteristic
1485C4⋊C4C23×D4311yescharacteristic
1486C4⋊C4C23×D4311yescharacteristic
1487C4⋊C4C23×D4311yescharacteristic
1488C4⋊C4C23×D4311yescharacteristic
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
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⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C42—21no—
1533C42—21no—
1534C42—431no—
1535C42—431no—
1536C42—431no—
1537C42—431no—
1538C42—431no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42C23×D4311yescharacteristic
1545C42C23×D4311yescharacteristic
1546C42C23×D4311yescharacteristic
1547C23—21no—
1548C23—21no—
1549C23—431no—
1550C23—861no—
1551C23—861no—
1552C23—861no—
1553C23—861no—
1554C23—861no—
1555C23—3441no—
1556C23—3441no—
1557C23—1722no—
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—41no—
1563Q8—81no—
1564Q8—861no—
1565Q8—861no—
1566Q8—3441no—
1567Q8—1721no—
1568Q8—1721no—
1569Q8—1721no—
1570Q8—1722no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—861no—
1576D4—861no—
1577D4—861no—
1578D4—861no—
1579D4—861no—
1580D4—861no—
1581D4—861no—
1582D4—861no—
1583D4—861no—
1584D4—861no—
1585D4—3441no—
1586D4—3441no—
1587D4—3441no—
1588D4—3441no—
1589D4—3441no—
1590D4—3441no—
1591D4—3441no—
1592D4—3441no—
1593D4—3441no—
1594D4—3441no—
1595D4—3441no—
1596D4—3441no—
1597D4—3441no—
1598D4—3441no—
1599D4—3441no—
1600D4—3441no—
1601D4—3441no—
1602D4—3441no—
1603D4—1722no—
1604D4—1722no—
1605D4—1722no—
1606D4—1722no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—42no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—431no—
1618C2×C4—431no—
1619C2×C4—431no—
1620C2×C4—431no—
1621C2×C4—431no—
1622C2×C4—431no—
1623C2×C4—431no—
1624C2×C4—861no—
1625C2×C4—861no—
1626C2×C4—861no—
1627C2×C4—861no—
1628C2×C4—861no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—3441no—
1633C2×C4—3441no—
1634C2×C4—3441no—
1635C2×C4—3441no—
1636C2×C4—3441no—
1637C2×C4—3441no—
1638C2×C4—3441no—
1639C2×C4—3441no—
1640C2×C4—1721no—
1641C2×C4—1721no—
1642C2×C4—1722no—
1643C2×C4—1722no—
1644C2×C4—1722no—
1645C2×C4—1722no—
1646C2×C4—1722no—
1647C2×C4C2×D4×D4311yescharacteristic
1648C2×C4C2×D4×D4311yescharacteristic
1649C2×C4C2×D4×D4311yescharacteristic
1650C2×C4C2×D4×D4311yescharacteristic
1651C2×C4C2×D4×D4311yescharacteristic
1652C2×C4C2×D4×D4311yescharacteristic
1653C2×C4C24×D4311yescharacteristic
1654C8—21no—
1655C8—21no—
1656C8—21no—
1657C8—21no—
1658C8—861no—
1659C8—861no—
1660C8—861no—
1661C8—861no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—861no—
1669C22—861no—
1670C22—861no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—1721no—
1675C22—1721no—
1676C22—1721no—
1677C22—1721no—
1678C22—1721no—
1679C22—1721no—
1680C22—1721no—
1681C22—1721no—
1682C22—1721no—
1683C22—1721no—
1684C22—1721no—
1685C22—1721no—
1686C22—6882no—
1687C22C22×D4×D4311yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—861no—
1701C4—861no—
1702C4—861no—
1703C4—861no—
1704C4—861no—
1705C4—861no—
1706C4—861no—
1707C4—1721no—
1708C4—1721no—
1709C4—1721no—
1710C4#1458373511yescharacteristic
1711C4#1458373611yescharacteristic
1712C2—81no—
1713C2—81no—
1714C2—3441no—
1715C2—3441no—
1716C2—3441no—
1717C2—3441no—
1718C2—3441no—
1719C2—1721no—
1720C2#1914825211yescharacteristic
1721C2#1914937211yescharacteristic
1722C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3376C2
socleC22×C43C23×D4
hypercenter#3376D43
hypocenterC43#61942
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3376

Complements

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

NH ≅ G/Ntype
1. #19148994C2semidirect
2. #19148485C2semidirect
3. #19147639C2semidirect
4. #19147638C2semidirect
5. #19147635C2semidirect
6. #19147632C2semidirect
7. #19147618C2semidirect
8. #19147616C2semidirect
9. #19147615C2semidirect
10. #19147614C2semidirect
11. #19147429C2semidirect
12. #19147428C2semidirect
13. #19147417C2semidirect
14. #19147351C2semidirect
15. #19147348C2semidirect
16. #19147347C2semidirect
17. #19147346C2semidirect
18. #19145657C2semidirect
19. #19145655C2semidirect
20. #19145648C2semidirect
21. #19145642C2semidirect
22. #19145583C2semidirect
23. #19145580C2semidirect
24. #19144888C2semidirect
25. #19144883C2semidirect
26. #19144840C2semidirect
27. #19144837C2semidirect
28. #19144749C2semidirect
29. #19144744C2semidirect
30. #19143698C2semidirect
31. C43×#3376C2semidirect
41. #14583610C22semidirect
42. #14583605C22semidirect
43. #14583605C22semidirect
48. #14583571C22semidirect
49. #14583570C22semidirect
50. #14583570C22semidirect
51. #14583570C22semidirect
78. #14583288C22semidirect
82. #14583285C22semidirect
85. #14583273C22semidirect
86. #14583270C22semidirect
87. #14583266C22semidirect
93. #14583256C22semidirect
95. #14583255C22semidirect
100. #14583209C22semidirect
101. #14583204C22semidirect
102. #14583203C22semidirect
106. #14583182C22semidirect
107. #14583178C22semidirect
108. #14583176C22semidirect
113. #14583117C22semidirect
114. #14583117C22semidirect
116. #14583115C22semidirect
118. #14583114C22semidirect
123. #14583103C22semidirect
124. #14583103C22semidirect
125. #14583101C22semidirect
126. #14583100C22semidirect
127. #14583099C22semidirect
128. #14583099C22semidirect
129. #14583098C22semidirect
130. #14583097C22semidirect
131. #14583097C22semidirect
134. #14583095C22semidirect
140. #14583093C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
162. #14583012C22semidirect
164. #14583010C22semidirect
165. #14583010C22semidirect
166. #14583009C22semidirect
168. #14583002C22semidirect
169. #14583002C22semidirect
170. #14583002C22semidirect
171. #14582999C22semidirect
172. #14582998C22semidirect
173. #14582997C22semidirect
174. #14582997C22semidirect
175. C4×#10621873C22semidirect
176. #14582986C22semidirect
177. #14582984C22semidirect
189. C43×#554C22semidirect
190. C43×#491C22semidirect
193. C43×#479C22semidirect
195. C43×#475C22semidirect
198. C43×#461C22semidirect
199. C43×#446C22semidirect
201. C43×#440C22semidirect
202. C4×SD16×C43C22semidirect
864. #3376D43semidirect
906. #554C2×D43semidirect
951. #491C2×D43semidirect
969. #479C2×D43semidirect
975. #475C2×D43semidirect
997. #461C2×D43semidirect
1033. #446C2×D43semidirect
1049. #440C2×D43semidirect
1053. C4×SD16C2×D43semidirect
1064. C43#61942semidirect

Maximal subgroups

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

subgroupindex
#191489942
#191484852
#191476392
#191476382
#191476352
#191476322
#191476182
#191476162
#191476152
#191476142
#191474292
#191474282
#191474172
#191473512
#191473482
#191473472
#191473462
#191456572
#191456552
#191456482
#191456422
#191455832
#191455802
#191448882
#191448832
#191448402
#191448372
#191447492
#191447442
#191436982
C43×#33762
#6194243