Finite Group Databasebeta

← #25988632

Subgroups — #25988632

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#19148988C211yesmaximal, characteristic, complemented
2#19148485C211yesmaximal, characteristic, complemented
3#19147640C211yesmaximal, characteristic, complemented
4#19147637C211yesmaximal, characteristic, complemented
5#19147636C211yesmaximal, characteristic, complemented
6#19147634C211yesmaximal, characteristic, complemented
7#19147620C211yesmaximal, characteristic, complemented
8#19147612C211yesmaximal, characteristic, complemented
9#19147610C211yesmaximal, characteristic, complemented
10#19147427C211yesmaximal, characteristic, complemented
11#19147426C211yesmaximal, characteristic, complemented
12#19147416C211yesmaximal, characteristic, complemented
13#19147415C211yesmaximal, characteristic, complemented
14#19147350C211yesmaximal, characteristic, complemented
15#19147349C211yesmaximal, characteristic, complemented
16#19147345C211yesmaximal, characteristic, complemented
17#19147344C211yesmaximal, characteristic, complemented
18#19145655C211yesmaximal, characteristic, complemented
19#19145649C211yesmaximal, characteristic, complemented
20#19145642C211yesmaximal, characteristic, complemented
21#19145640C211yesmaximal, characteristic, complemented
22#19145580C211yesmaximal, characteristic, complemented
23#19145577C211yesmaximal, characteristic, complemented
24#19144885C211yesmaximal, characteristic, complemented
25#19144884C211yesmaximal, characteristic, complemented
26#19144836C211yesmaximal, characteristic, complemented
27#19144835C211yesmaximal, characteristic, complemented
28#19144745C211yesmaximal, characteristic, complemented
29#19144744C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3397C211yesmaximal, characteristic, complemented
32#14583644—21no—
33#14583644—21no—
34#14583634C2211yescharacteristic
35#14583634C2211yescharacteristic
36#14583632C2211yescharacteristic
37#14583631C2211yescharacteristic
38#14583623C2211yescharacteristic
39#14583621C2211yescharacteristic
40#14583618C2211yescharacteristic
41#14583609C2211yescharacteristic, complemented
42#14583608C2211yescharacteristic, complemented
43#14583608C2211yescharacteristic, complemented
44#14583606C2211yescharacteristic, complemented
45#14583576—21no—
46#14583574—21no—
47#14583574—21no—
48#14583573—21no—
49#14583569C2211yescharacteristic, complemented
50#14583569C2211yescharacteristic, complemented
51#14583569C2211yescharacteristic, complemented
52#14583549—21no—
53#14583548—21no—
54#14583519—21no—
55#14583515—21no—
56#14583503C2211yescharacteristic
57#14583503C2211yescharacteristic
58#14583500C2211yescharacteristic
59#14583500C2211yescharacteristic
60#14583478—21no—
61#14583477—21no—
62#14583476—21no—
63#14583476—21no—
64#14583474C2211yescharacteristic
65#14583467C2211yescharacteristic
66#14583453C2211yescharacteristic
67#14583447C2211yescharacteristic
68#14583446C2211yescharacteristic
69#14583432—21no—
70#14583427—21no—
71#124×D43C2211yescharacteristic
72#14583375C2211yescharacteristic
73#14583371C2211yescharacteristic
74C4×#10621902C2211yescharacteristic
75#14583287C2211yescharacteristic
76#14583286C2211yescharacteristic
77#14583286C2211yescharacteristic, complemented
78#14583285C2211yescharacteristic
79#14583285C2211yescharacteristic
80#14583285C2211yescharacteristic, complemented
81#14583275C2211yescharacteristic
82#14583274C2211yescharacteristic
83#14583270C2211yescharacteristic, complemented
84#14583267C2211yescharacteristic, complemented
85#14583266C2211yescharacteristic, complemented
86#14583264C2211yescharacteristic
87#14583262C2211yescharacteristic
88#14583260C2211yescharacteristic
89#14583259C2211yescharacteristic
90#14583258C2211yescharacteristic
91#14583257C2211yescharacteristic
92#14583255C2211yescharacteristic
93#14583255C2211yescharacteristic, complemented
94#14583254C2211yescharacteristic, complemented
95#14583253C2211yescharacteristic
96#14583226C2211yescharacteristic
97#14583222C2211yescharacteristic
98#14583221C2211yescharacteristic
99#14583221C2211yescharacteristic
100#14583208C2211yescharacteristic, complemented
101#14583207C2211yescharacteristic, complemented
102#14583206C2211yescharacteristic, complemented
103#14583205C2211yescharacteristic, complemented
104#14583202C2211yescharacteristic
105#14583200C2211yescharacteristic
106#14583199C2211yescharacteristic
107#14583197C2211yescharacteristic
108#14583184C2211yescharacteristic, complemented
109#14583182C2211yescharacteristic, complemented
110#14583180C2211yescharacteristic, complemented
111#14583178C2211yescharacteristic, complemented
112#14583116C2211yescharacteristic
113#14583116C2211yescharacteristic
114#14583116C2211yescharacteristic
115#14583116C2211yescharacteristic
116#14583116C2211yescharacteristic, complemented
117#14583116C2211yescharacteristic, complemented
118#14583115C2211yescharacteristic
119#14583115C2211yescharacteristic, complemented
120#14583114C2211yescharacteristic
121#14583114C2211yescharacteristic, complemented
122#14583112C2211yescharacteristic
123#14583112C2211yescharacteristic
124#14583111C2211yescharacteristic
125#14583111C2211yescharacteristic
126#14583102C2211yescharacteristic, complemented
127#14583102C2211yescharacteristic, complemented
128#14583101C2211yescharacteristic, complemented
129#14583098C2211yescharacteristic, complemented
130#14583097C2211yescharacteristic, complemented
131#14583097C2211yescharacteristic, complemented
132#14583096C2211yescharacteristic, complemented
133#14583095C2211yescharacteristic
134#14583094C2211yescharacteristic
135#14583093C2211yescharacteristic
136#14583093C2211yescharacteristic, complemented
137#14583092C2211yescharacteristic
138#14583092C2211yescharacteristic
139#14583092C2211yescharacteristic
140#14583091C2211yescharacteristic
141#14583091C2211yescharacteristic, complemented
142#14583047C2211yescharacteristic
143#14583043C2211yescharacteristic
144#14583043C2211yescharacteristic
145#14583043C2211yescharacteristic
146#14583039C2211yescharacteristic
147#14583036C2211yescharacteristic
148#14583036C2211yescharacteristic
149#14583036C2211yescharacteristic
150#14583034C2211yescharacteristic
151#14583031C2211yescharacteristic
152#14583031C2211yescharacteristic
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, complemented
162#14583011C2211yescharacteristic
163#14583009C2211yescharacteristic
164#14583009C2211yescharacteristic
165#14583009C2211yescharacteristic, complemented
166#14583008C2211yescharacteristic
167#14583008C2211yescharacteristic, complemented
168#14583008C2211yescharacteristic, complemented
169#14583001C2211yescharacteristic, complemented
170#14583000C2211yescharacteristic, complemented
171#14583000C2211yescharacteristic, complemented
172#14583000C2211yescharacteristic, complemented
173#14582997C2211yescharacteristic, complemented
174#14582996C2211yescharacteristic, complemented
175#14582990C2211yescharacteristic, complemented
176SD16×Dic43C2211yescharacteristic, complemented
177C4×#10621884C2211yescharacteristic, complemented
178C4×#10621883C2211yescharacteristic, complemented
179C4×D344C2211yescharacteristic
180D8×Dic43C2211yescharacteristic
181#14582979C2211yescharacteristic
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#556C2211yescharacteristic
189C43×#550C2211yescharacteristic, complemented
190C43×#496C2211yescharacteristic
191C43×#496C2211yescharacteristic
192C43×#492C2211yescharacteristic, complemented
193C43×#463C2211yescharacteristic
194C43×#463C2211yescharacteristic
195C43×#461C2211yescharacteristic, complemented
196C43×#460C2211yescharacteristic, complemented
197C43×#460C2211yescharacteristic, complemented
198C43×#459C2211yescharacteristic
199C43×#446C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic, complemented
202C4×D8×C43C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621900—21no—
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×#10621900—21no—
209C2×Q8×D43C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C2×#10621873C2311yescharacteristic
212C2×#10621883C2311yescharacteristic
213C2×#10621883C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215C2×#10621884C2311yescharacteristic
216C2×#10621884C2311yescharacteristic
217C2×D344C2311yescharacteristic
218C2×D344C2311yescharacteristic
219C2×#10621882C2311yescharacteristic
220C2×#10621882C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226#13063325C2311yescharacteristic
227#13063324D411yescharacteristic
228#13063324C2311yescharacteristic
229#13063323D411yescharacteristic
230#13063323C2311yescharacteristic
231#13063322C2311yescharacteristic
232#13063321C2311yescharacteristic
233#13063321C2311yescharacteristic
234#13063321C2311yescharacteristic
235#13063321C2311yescharacteristic
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063319—21no—
240#13063318—21no—
241#13063318—21no—
242#13063317C2311yescharacteristic
243#13063317C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063316C2311yescharacteristic
246#13063315D411yescharacteristic
247#13063315D411yescharacteristic
248#13063314—21no—
249#13063314C2311yescharacteristic
250#13063314C2311yescharacteristic
251#13063314C2311yescharacteristic
252#13063313—21no—
253#13063313C2311yescharacteristic
254#13063313C2311yescharacteristic
255#13063312—21no—
256#13063312C2311yescharacteristic
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063310—21no—
263#13063310—21no—
264#13063310—21no—
265#13063310—21no—
266#13063310—21no—
267#13063310—21no—
268#13063309—21no—
269#13063308—21no—
270#13063308—21no—
271#13063308—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307—21no—
276#13063306—21no—
277#13063306—21no—
278#13063306—21no—
279#13063306—21no—
280#13063305—21no—
281#13063305D411yescharacteristic
282#13063304—21no—
283#13063304—21no—
284#13063304—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303D411yescharacteristic
291#13063303D411yescharacteristic
292#13063302—21no—
293#13063302—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063301—21no—
300#13063301D411yescharacteristic
301#13063300C2311yescharacteristic
302#13063299—21no—
303#13063299—21no—
304#13063298—21no—
305#13063298—21no—
306#13063298—21no—
307#13063298—21no—
308#13063298—21no—
309#13063297—21no—
310#13063297—21no—
311#13063297—21no—
312#13063297—21no—
313#13063297—21no—
314#13063297—21no—
315#13063297—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297—21no—
319#13063296—21no—
320#13063296—21no—
321#13063296—21no—
322#13063296—21no—
323#13063296C2311yescharacteristic
324#13063296C2311yescharacteristic
325#13063296C2311yescharacteristic
326#13063295—21no—
327#13063295—21no—
328Q8×Dic43C2311yescharacteristic
329Q8×Dic43C2311yescharacteristic
330C4×Dic86—21no—
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333C4×Dic86C2311yescharacteristic
334C4×Dic86C2311yescharacteristic
335#13063290—21no—
336#13063290C2311yescharacteristic
337C4×D172—21no—
338C4×D172—21no—
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341C4×D172C2311yescharacteristic
342C4×D172C2311yescharacteristic
343C4×D172C2311yescharacteristic
344D4×Dic43—21no—
345D4×Dic43C2311yescharacteristic
346D4×Dic43C2311yescharacteristic
347D4×Dic43C2311yescharacteristic
348D4×Dic43C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351D4×Dic43C2311yescharacteristic
352#13063287—21no—
353#13063287—21no—
354#13063287C2311yescharacteristic
355#13063287C2311yescharacteristic
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361#13063283—21no—
362#13063283—21no—
363#13063283—21no—
364#13063283C2311yescharacteristic
365#13063282—21no—
366#13063282—21no—
367#13063282C2311yescharacteristic
368#13063282C2311yescharacteristic
369#13063281—21no—
370C2×C4⋊Dic43—21no—
371C2×Dic43⋊C4—21no—
372C2×Dic43⋊C4—21no—
373C4⋊C4×D43—21no—
374C2×(C2×D43)⋊C4—21no—
375C22⋊C4×D43—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C42×D43—21no—
379C42×D43C2311yescharacteristic
380#13063259C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063256C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387C4⋊(C43⋊C8)C2311yescharacteristic
388C4⋊(C43⋊C8)C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390Dic43⋊C8C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396#13063250C2311yescharacteristic
397#13063250C2311yescharacteristic
398#13063250C2311yescharacteristic
399#13063249C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
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×#41×C43—21no—
436C2×SD16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#127×C43C2311yescharacteristic
447#127×C43C2311yescharacteristic
448#127×C43C2311yescharacteristic
449#126×C43—21no—
450#126×C43—21no—
451#124×C43C2311yescharacteristic
452#124×C43C2311yescharacteristic
453C22⋊Q8×C43—21no—
454#121×C43—21no—
455#121×C43—21no—
456#121×C43—21no—
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×Q8×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464#117×C43—21no—
465#107×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×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—
479#41×C43—82no—
480C2×Q8×C43C2×D411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43C2411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516#10621902—41no—
517#10621902—41no—
518Q8×D43—41no—
519Q8×D43—41no—
520#10621900—82no—
521#10621900—82no—
522#10621900—82no—
523#10621900—82no—
524D4×D43—41no—
525D4×D43—41no—
526#10621898—82no—
527C2×D172—21no—
528C2×D172—21no—
529C2×D172—21no—
530C2×D172—21no—
531C2×D172C2411yescharacteristic
532C2×D172C2411yescharacteristic
533C2×D172C2411yescharacteristic
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×D43C2×D411yescharacteristic
544C2×C4×D43C2×D411yescharacteristic
545C2×C4×D43C2411yescharacteristic
546C2×Dic86—21no—
547C2×Dic86—21no—
548C2×Dic86—21no—
549C2×Dic86C2×D411yescharacteristic
550C2×Dic86C2×D411yescharacteristic
551C2×Dic86C2×D411yescharacteristic
552C2×Dic86C2411yescharacteristic
553SD16×C43—41no—
554SD16×C43—41no—
555SD16×C43—41no—
556SD16×C43—41no—
557SD16×C43—41no—
558SD16×C43—41no—
559D8×C43—41no—
560D8×C43—41no—
561D8×C43—41no—
562C2×C8×C43C2411yescharacteristic
563C2×C8×C43C2411yescharacteristic
564C2×C8×C43C2411yescharacteristic
565C2×C8×C43C2411yescharacteristic
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43—21no—
570C4⋊C4×C43C2×D411yescharacteristic
571C4⋊C4×C43C2×D411yescharacteristic
572C4⋊C4×C43C2×D411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C22⋊C4×C43—21no—
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—
583C42×C43—21no—
584C42×C43—21no—
585C42×C43C2411yescharacteristic
586C42×C43C2411yescharacteristic
587C42×C43C2411yescharacteristic
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600#10621884—41no—
601#10621884—41no—
602#10621883—41no—
603#10621883—41no—
604#10621883—41no—
605#10621882—41no—
606#10621882—41no—
607#10621882—41no—
608#10621882—41no—
609#10621882—41no—
610#10621882—41no—
611#10621882—41no—
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)⋊C4C2×D411yescharacteristic
632(C2×D43)⋊C4C2×D411yescharacteristic
633(C2×D43)⋊C4C2×D411yescharacteristic
634(C2×D43)⋊C4C2×D411yescharacteristic
635C4⋊Dic43—21no—
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
645C4⋊Dic43C2411yescharacteristic
646C4⋊Dic43C2411yescharacteristic
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682D344—41no—
683D344—41no—
684#10621873—41no—
685C23×C43—21no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43—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—
701D4×C43—21no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—42no—
710D4×C43—81no—
711D4×C43—81no—
712D4×C43—81no—
713D4×C43—81no—
714D4×C43—81no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—42no—
720C2×C4×C43—81no—
721C2×C4×C43—81no—
722C2×C4×C43—81no—
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C2511yescharacteristic
730C22⋊D43—42no—
731C22⋊D43—42no—
732C22⋊D43—81no—
733C22⋊D43—81no—
734C22⋊D43—81no—
735C22⋊D43—81no—
736C22⋊D43—81no—
737C22⋊D43—81no—
738C22⋊D43—81no—
739C22⋊D43—81no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—42no—
748C2×Dic43—42no—
749C2×Dic43—81no—
750C2×Dic43—81no—
751C2×Dic43—81no—
752C2×Dic43—81no—
753C2×Dic43—81no—
754C2×Dic43C22×D411yescharacteristic
755C2×Dic43C22×D411yescharacteristic
756C2×Dic43C22×D411yescharacteristic
757C2×Dic43C22×D411yescharacteristic
758C2×Dic43C22×D411yescharacteristic
759C2×Dic43C22×D411yescharacteristic
760C2×Dic43C22×D411yescharacteristic
761D172—21no—
762D172—21no—
763D172—21no—
764D172—21no—
765D172—21no—
766D172—21no—
767D172—42no—
768D172—81no—
769D172—81no—
770D172—81no—
771C4×D43—21no—
772C4×D43—21no—
773C4×D43—41no—
774C4×D43—41no—
775C4×D43—42no—
776C4×D43—42no—
777C4×D43—42no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43—81no—
783C4×D43—81no—
784Dic86—21no—
785Dic86—21no—
786Dic86—41no—
787Dic86—41no—
788Dic86—41no—
789Dic86—42no—
790Dic86—81no—
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×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—41no—
813C22×C43C23×D411yescharacteristic
814C2×D43—21no—
815C2×D43—21no—
816C2×D43—21no—
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#58511yescharacteristic
838C4×C43#58511yescharacteristic
839Dic43—21no—
840Dic43—21no—
841Dic43—21no—
842Dic43—21no—
843Dic43—21no—
844Dic43—21no—
845Dic43—21no—
846Dic43—41no—
847Dic43—41no—
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#3397D4311yescharacteristic, complemented
861#3376—431no—
862#3376—431no—
863#3376—431no—
864#3376—431no—
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—81no—
885C2×C43—81no—
886C2×C43#348711yescharacteristic
887C2×C43#358511yescharacteristic
888C2×C43#358511yescharacteristic
889D43—41no—
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#554—431no—
907#551—861no—
908#551—861no—
909#551—861no—
910#551—861no—
911#550—431no—
912#550—431no—
913#550—431no—
914#550C2×D4311yescharacteristic, complemented
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#496C2×D4311yescharacteristic
945#496C2×D4311yescharacteristic
946#493—431no—
947#493—431no—
948#492—431no—
949#492C2×D4311yescharacteristic, complemented
950#491—431no—
951#491—431no—
952#490—431no—
953#490—431no—
954#489—431no—
955#489—431no—
956#489—431no—
957#489—431no—
958#488—431no—
959#488—431no—
960#488—431no—
961#488—431no—
962#482—431no—
963#482—431no—
964#482—431no—
965#482—431no—
966#479—431no—
967#479—431no—
968#479—431no—
969#479—431no—
970#478—431no—
971#478—431no—
972#478—431no—
973#478—431no—
974#475—431no—
975#475—431no—
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#460C2×D4311yescharacteristic, complemented
1003#460C2×D4311yescharacteristic, complemented
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#459C2×D4311yescharacteristic
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#442—431no—
1042#440—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440C2×D4311yescharacteristic, complemented
1049#440C2×D4311yescharacteristic, complemented
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×D8—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8C2×D4311yescharacteristic
1058#433—431no—
1059#433—431no—
1060#433—431no—
1061#433—431no—
1062#432—431no—
1063#432—431no—
1064C43#6194211yescharacteristic, complemented, Sylow
1065C2×#41—21no—
1066C2×#41—431no—
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×SD16C22×D4311yescharacteristic
1081C2×SD16C22×D4311yescharacteristic
1082C2×SD16C22×D4311yescharacteristic
1083C2×SD16C22×D4311yescharacteristic
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×D8C22×D4311yescharacteristic
1096C2×D8C22×D4311yescharacteristic
1097C2×D8C22×D4311yescharacteristic
1098C4⋊Q8—431no—
1099C4⋊Q8—431no—
1100C4⋊Q8—431no—
1101C4⋊Q8—431no—
1102C4⋊Q8—431no—
1103C4⋊Q8C22×D4311yescharacteristic
1104#127—431no—
1105#127—431no—
1106#127—431no—
1107#127—431no—
1108#127—431no—
1109#127C22×D4311yescharacteristic
1110#127C22×D4311yescharacteristic
1111#127C22×D4311yescharacteristic
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#125—431no—
1125#125—431no—
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—431no—
1162C22⋊Q8—431no—
1163C22⋊Q8—431no—
1164C22⋊Q8—431no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
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—21no—
1183#121—21no—
1184#121—21no—
1185#121—431no—
1186#121—431no—
1187#121—431no—
1188#121—431no—
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—861no—
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#106—431no—
1279#106—431no—
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#103—431no—
1299#103—431no—
1300#103—431no—
1301#103—431no—
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—82no—
1342#41—3442no—
1343#41—3442no—
1344#41—3442no—
1345#41—3442no—
1346#41—3442no—
1347#41—1721no—
1348#41—1721no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—431no—
1352C2×Q8—431no—
1353C2×Q8—861no—
1354C2×Q8—861no—
1355C2×Q8—861no—
1356C2×Q8—1721no—
1357C2×Q8—1721no—
1358C2×Q8D4×D4311yescharacteristic
1359C2×Q8C23×D4311yescharacteristic
1360C2×Q8C23×D4311yescharacteristic
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—431no—
1368C2×D4—431no—
1369C2×D4—431no—
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—1721no—
1387C2×D4—1721no—
1388C2×D4C23×D4311yescharacteristic
1389C2×D4C23×D4311yescharacteristic
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—41no—
1418SD16—41no—
1419SD16—41no—
1420SD16—41no—
1421SD16—1721no—
1422SD16—1721no—
1423SD16—1721no—
1424SD16—1721no—
1425SD16—1721no—
1426SD16—1721no—
1427D8—41no—
1428D8—41no—
1429D8—41no—
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—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
1455C4⋊C4—431no—
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—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
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⋊C4—861no—
1483C4⋊C4—861no—
1484C4⋊C4D4×D4311yescharacteristic
1485C4⋊C4D4×D4311yescharacteristic
1486C4⋊C4D4×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—21no—
1550C23—21no—
1551C23—431no—
1552C23—861no—
1553C23—861no—
1554C23—861no—
1555C23—3441no—
1556C23—3441no—
1557C23—1722no—
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—41no—
1563Q8—861no—
1564Q8—861no—
1565Q8—3441no—
1566Q8—3441no—
1567Q8—1721no—
1568Q8—1721no—
1569Q8—1721no—
1570Q8—1722no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—21no—
1579D4—42no—
1580D4—81no—
1581D4—81no—
1582D4—81no—
1583D4—81no—
1584D4—81no—
1585D4—861no—
1586D4—861no—
1587D4—861no—
1588D4—861no—
1589D4—861no—
1590D4—861no—
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—3441no—
1604D4—1722no—
1605D4—1722no—
1606D4—1722no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—42no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—431no—
1616C2×C4—431no—
1617C2×C4—431no—
1618C2×C4—431no—
1619C2×C4—431no—
1620C2×C4—431no—
1621C2×C4—431no—
1622C2×C4—861no—
1623C2×C4—861no—
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—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—861no—
1675C22—861no—
1676C22—861no—
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—861no—
1699C4—861no—
1700C4—861no—
1701C4—861no—
1702C4—861no—
1703C4—861no—
1704C4—861no—
1705C4—1721no—
1706C4—1721no—
1707C4—1721no—
1708C4—1721no—
1709C4—1721no—
1710C4#1458373411yescharacteristic
1711C4#1458373511yescharacteristic
1712C2—81no—
1713C2—81no—
1714C2—81no—
1715C2—81no—
1716C2—3441no—
1717C2—3441no—
1718C2—3441no—
1719C2—1721no—
1720C2#1914824811yescharacteristic
1721C2#1914937111yescharacteristic
1722C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3397C2
socleC22×C43C23×D4
hypercenter#3397D43
hypocenterC43#61942
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3397

Complements

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

NH ≅ G/Ntype
1. #19148988C2semidirect
2. #19148485C2semidirect
3. #19147640C2semidirect
4. #19147637C2semidirect
5. #19147636C2semidirect
6. #19147634C2semidirect
7. #19147620C2semidirect
8. #19147612C2semidirect
9. #19147610C2semidirect
10. #19147427C2semidirect
11. #19147426C2semidirect
12. #19147416C2semidirect
13. #19147415C2semidirect
14. #19147350C2semidirect
15. #19147349C2semidirect
16. #19147345C2semidirect
17. #19147344C2semidirect
18. #19145655C2semidirect
19. #19145649C2semidirect
20. #19145642C2semidirect
21. #19145640C2semidirect
22. #19145580C2semidirect
23. #19145577C2semidirect
24. #19144885C2semidirect
25. #19144884C2semidirect
26. #19144836C2semidirect
27. #19144835C2semidirect
28. #19144745C2semidirect
29. #19144744C2semidirect
30. #19143698C2semidirect
31. C43×#3397C2semidirect
41. #14583609C22semidirect
42. #14583608C22semidirect
43. #14583608C22semidirect
44. #14583606C22semidirect
49. #14583569C22semidirect
50. #14583569C22semidirect
51. #14583569C22semidirect
77. #14583286C22semidirect
80. #14583285C22semidirect
83. #14583270C22semidirect
84. #14583267C22semidirect
85. #14583266C22semidirect
93. #14583255C22semidirect
94. #14583254C22semidirect
100. #14583208C22semidirect
101. #14583207C22semidirect
102. #14583206C22semidirect
103. #14583205C22semidirect
108. #14583184C22semidirect
109. #14583182C22semidirect
110. #14583180C22semidirect
111. #14583178C22semidirect
116. #14583116C22semidirect
117. #14583116C22semidirect
119. #14583115C22semidirect
121. #14583114C22semidirect
126. #14583102C22semidirect
127. #14583102C22semidirect
128. #14583101C22semidirect
129. #14583098C22semidirect
130. #14583097C22semidirect
131. #14583097C22semidirect
132. #14583096C22semidirect
136. #14583093C22semidirect
141. #14583091C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
161. #14583012C22semidirect
165. #14583009C22semidirect
167. #14583008C22semidirect
168. #14583008C22semidirect
169. #14583001C22semidirect
170. #14583000C22semidirect
171. #14583000C22semidirect
172. #14583000C22semidirect
173. #14582997C22semidirect
174. #14582996C22semidirect
175. #14582990C22semidirect
176. SD16×Dic43C22semidirect
177. C4×#10621884C22semidirect
178. C4×#10621883C22semidirect
189. C43×#550C22semidirect
192. C43×#492C22semidirect
195. C43×#461C22semidirect
196. C43×#460C22semidirect
197. C43×#460C22semidirect
199. C43×#446C22semidirect
200. C43×#440C22semidirect
201. C43×#440C22semidirect
860. #3397D43semidirect
914. #550C2×D43semidirect
949. #492C2×D43semidirect
997. #461C2×D43semidirect
1002. #460C2×D43semidirect
1003. #460C2×D43semidirect
1033. #446C2×D43semidirect
1048. #440C2×D43semidirect
1049. #440C2×D43semidirect
1064. C43#61942semidirect

Maximal subgroups

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

subgroupindex
#191489882
#191484852
#191476402
#191476372
#191476362
#191476342
#191476202
#191476122
#191476102
#191474272
#191474262
#191474162
#191474152
#191473502
#191473492
#191473452
#191473442
#191456552
#191456492
#191456422
#191456402
#191455802
#191455772
#191448852
#191448842
#191448362
#191448352
#191447452
#191447442
#191436982
C43×#33972
#6194243