Finite Group Databasebeta

← #25979567

Subgroups — #25979567

Order 11008.

1936 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148674C211yesmaximal, characteristic, complemented
2#19148617C211yesmaximal, characteristic, complemented
3#19147638C211yesmaximal, characteristic, complemented
4#19147506C211yesmaximal, characteristic, complemented
5#19147264C211yesmaximal, characteristic, complemented
6#19147256C211yesmaximal, characteristic, complemented
7#19147217C211yesmaximal, characteristic, complemented
8#19147070C211yesmaximal, characteristic, complemented
9#19147066C211yesmaximal, characteristic, complemented
10#19146541C211yesmaximal, characteristic, complemented
11#19146502C211yesmaximal, characteristic, complemented
12#19146498C211yesmaximal, characteristic, complemented
13#19146415C211yesmaximal, characteristic, complemented
14#19146410C211yesmaximal, characteristic, complemented
15#19146404C211yesmaximal, characteristic, complemented
16#19146209C211yesmaximal, characteristic, complemented
17#19146092C211yesmaximal, characteristic, complemented
18#19146084C211yesmaximal, characteristic, complemented
19#19145282C211yesmaximal, characteristic, complemented
20#19145278C211yesmaximal, characteristic, complemented
21#19145171C211yesmaximal, characteristic, complemented
22#19144794C211yesmaximal, characteristic, complemented
23#19144792C211yesmaximal, characteristic, complemented
24#19144779C211yesmaximal, characteristic, complemented
25#19144777C211yesmaximal, characteristic, complemented
26#19144715C211yesmaximal, characteristic, complemented
27#19144684C211yesmaximal, characteristic, complemented
28#19143566C211yesmaximal, characteristic, complemented
29#19143422C211yesmaximal, characteristic, complemented
30C4×SD16×D43C211yesmaximal, characteristic, complemented
31C43×#2946C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×SD16×D43C2211yescharacteristic
34#14583632—21no—
35#14583632C2211yescharacteristic, complemented
36Q8×Dic86C2211yescharacteristic, complemented
37#14583612C2211yescharacteristic
38#14583608C2211yescharacteristic
39#14583604—21no—
40#14583604C2211yescharacteristic, complemented
41#14583599C2211yescharacteristic
42#14583598—21no—
43#14583593C2211yescharacteristic
44#14583570C2211yescharacteristic
45#14583568C2211yescharacteristic, complemented
46#14583561C2211yescharacteristic, complemented
47#14583556C2211yescharacteristic, complemented
48#14583554—21no—
49#14583554C2211yescharacteristic, complemented
50#14583550—21no—
51#14583550C2211yescharacteristic, complemented
52#14583545—21no—
53#14583539—21no—
54#14583539—21no—
55D4×D172C2211yescharacteristic
56D4×C22⋊D43C2211yescharacteristic
57D4×C22⋊D43C2211yescharacteristic
58#14583520—21no—
59#14583520C2211yescharacteristic, complemented
60#14583514—21no—
61#14583514C2211yescharacteristic, complemented
62#14583504C2211yescharacteristic
63#14583500C2211yescharacteristic
64#14583487—21no—
65#14583482—21no—
66#14583446—21no—
67#14583446C2211yescharacteristic
68#14583446C2211yescharacteristic, complemented
69#14583427—21no—
70#14583427C2211yescharacteristic
71#14583408—21no—
72C2×#13063298—21no—
73#14583381C2211yescharacteristic, complemented
74#14583371C2211yescharacteristic
75C4×Q8×D43C2211yescharacteristic, complemented
76C4×D4×D43C2211yescharacteristic
77#14583308C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583303C2211yescharacteristic, complemented
80#14583288C2211yescharacteristic, complemented
81#14583287C2211yescharacteristic, complemented
82#14583274C2211yescharacteristic, complemented
83#14583254C2211yescharacteristic, complemented
84#14583252C2211yescharacteristic, complemented
85#14583246C2211yescharacteristic, complemented
86#14583244C2211yescharacteristic, complemented
87#14583244C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583243C2211yescharacteristic, complemented
90#14583240C2211yescharacteristic, complemented
91#14583223C2211yescharacteristic, complemented
92#14583221C2211yescharacteristic, complemented
93#14583219C2211yescharacteristic, complemented
94#14583217C2211yescharacteristic, complemented
95#14583216C2211yescharacteristic, complemented
96#14583216C2211yescharacteristic, complemented
97#14583214C2211yescharacteristic, complemented
98#14583214C2211yescharacteristic, complemented
99#14583212C2211yescharacteristic, complemented
100#14583211C2211yescharacteristic, complemented
101#14583206C2211yescharacteristic, complemented
102#14583204C2211yescharacteristic, complemented
103#14583202C2211yescharacteristic, complemented
104#14583199C2211yescharacteristic, complemented
105#14583193C2211yescharacteristic, complemented
106#14583192C2211yescharacteristic, complemented
107#14583189C2211yescharacteristic, complemented
108#14583188C2211yescharacteristic, complemented
109#14583188C2211yescharacteristic, complemented
110#14583187C2211yescharacteristic
111#14583179C2211yescharacteristic
112#14583177C2211yescharacteristic
113#14583152C2211yescharacteristic, complemented
114#14583149C2211yescharacteristic, complemented
115#14583146C2211yescharacteristic, complemented
116#14583145C2211yescharacteristic, complemented
117#14583136C2211yescharacteristic, complemented
118#14583135C2211yescharacteristic, complemented
119#14583134C2211yescharacteristic, complemented
120#14583134C2211yescharacteristic, complemented
121#14583134C2211yescharacteristic, complemented
122#14583132C2211yescharacteristic, complemented
123#14583128C2211yescharacteristic, complemented
124#14583127C2211yescharacteristic, complemented
125#14583114C2211yescharacteristic
126#14583114C2211yescharacteristic, complemented
127#14583113C2211yescharacteristic, complemented
128#14583112C2211yescharacteristic
129#14583099C2211yescharacteristic, complemented
130#14583098C2211yescharacteristic, complemented
131#14583097C2211yescharacteristic, complemented
132#14583097C2211yescharacteristic, complemented
133#14583094C2211yescharacteristic, complemented
134#14583093C2211yescharacteristic, complemented
135#14583093C2211yescharacteristic, complemented
136#14583092C2211yescharacteristic
137#14583051C2211yescharacteristic
138#14583050C2211yescharacteristic
139#14583047C2211yescharacteristic, complemented
140#14583044C2211yescharacteristic, complemented
141#14583044C2211yescharacteristic, complemented
142#14583043C2211yescharacteristic, complemented
143#14583039C2211yescharacteristic, complemented
144#14583036C2211yescharacteristic, complemented
145#14583034C2211yescharacteristic
146#14583033C2211yescharacteristic
147#14583031C2211yescharacteristic
148#14583031C2211yescharacteristic
149#14583027C2211yescharacteristic, complemented
150C8×Dic86C2211yescharacteristic, complemented
151#14583012C2211yescharacteristic, complemented
152#14583010C2211yescharacteristic, complemented
153#14583009C2211yescharacteristic
154#14583009C2211yescharacteristic, complemented
155#14583001C2211yescharacteristic, complemented
156#14583000C2211yescharacteristic
157#14582999C2211yescharacteristic, complemented
158#14582997C2211yescharacteristic, complemented
159#14582990C2211yescharacteristic
160C4×#10621873C2211yescharacteristic, complemented
161SD16×Dic43C2211yescharacteristic
162C4×#10621884C2211yescharacteristic, complemented
163#14582986C2211yescharacteristic, complemented
164C4×#10621883C2211yescharacteristic
165#14582984C2211yescharacteristic, complemented
166#14582984C2211yescharacteristic, complemented
167C4×D344C2211yescharacteristic, complemented
168C4×#10621882C2211yescharacteristic, complemented
169C4×#10621882C2211yescharacteristic, complemented
170#14582979C2211yescharacteristic
171#14582975C2211yescharacteristic, complemented
172#14582972C2211yescharacteristic, complemented
173#14582968C2211yescharacteristic, complemented
174C8×D172C2211yescharacteristic, complemented
175C8×C22⋊D43C2211yescharacteristic, complemented
176C8×C22⋊D43C2211yescharacteristic, complemented
177#14582961C2211yescharacteristic, complemented
178#14582960C2211yescharacteristic, complemented
179#14582954C2211yescharacteristic, complemented
180#14582938C2211yescharacteristic, complemented
181#106×D43C2211yescharacteristic, complemented
182#14582894C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#102×D43C2211yescharacteristic
186#14582853C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
189C43×#520C2211yescharacteristic, complemented
190C43×#518C2211yescharacteristic
191C43×#442C2211yescharacteristic
192C43×#442C2211yescharacteristic, complemented
193C43×#440C2211yescharacteristic
194C43×#440C2211yescharacteristic, complemented
195C4×SD16×C43C2211yescharacteristic
196C4×SD16×C43C2211yescharacteristic, complemented
197C4×D8×C43C2211yescharacteristic
198C4×D8×C43C2211yescharacteristic, complemented
199C43×#428C2211yescharacteristic, complemented
200C43×#416C2211yescharacteristic, complemented
201C2×#102×C43C2211yescharacteristic
202C43×#405C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898—21no—
206C2×#10621898—21no—
207C2×#10621898—21no—
208C2×#10621898—21no—
209C2×Q8×D43C2311yescharacteristic
210C22×D172—21no—
211C22×C22⋊D43—21no—
212C22×C22⋊D43—21no—
213C2×D4×D43C2311yescharacteristic
214C2×D4×D43C2311yescharacteristic
215C22×C4×D43—21no—
216#13063352—24no—
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223SD16×D43—24no—
224C2×D344C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×C8×D43C2311yescharacteristic
232C2×C8×D43C2311yescharacteristic
233C2×C8×D43C2311yescharacteristic
234#13063325—21no—
235#13063325C2311yescharacteristic
236#13063324—21no—
237#13063324—21no—
238#13063324C2311yescharacteristic
239#13063324C2311yescharacteristic
240#13063324C2311yescharacteristic
241#13063322C2311yescharacteristic
242#13063321—21no—
243#13063321C2311yescharacteristic
244#13063321C2311yescharacteristic
245#13063321C2311yescharacteristic
246#13063320—21no—
247#13063320D411yescharacteristic
248#13063319—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318D411yescharacteristic
252#13063317C2311yescharacteristic
253#13063316C2311yescharacteristic
254#13063315—21no—
255#13063315D411yescharacteristic
256#13063313—21no—
257#13063313—21no—
258#13063313C2311yescharacteristic
259#13063312—21no—
260#13063312C2311yescharacteristic
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063311—21no—
267#13063311D411yescharacteristic
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310D411yescharacteristic
272#13063308—21no—
273#13063308—21no—
274#13063308—21no—
275#13063308—21no—
276#13063308—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307D411yescharacteristic
284#13063305—21no—
285#13063305C2311yescharacteristic
286#13063304—21no—
287#13063304—21no—
288#13063304—21no—
289#13063304—21no—
290#13063304—21no—
291#13063304C2311yescharacteristic
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063303D411yescharacteristic
296#13063302—21no—
297#13063302—21no—
298#13063300—21no—
299#13063300C2311yescharacteristic
300#13063300C2311yescharacteristic
301#13063300C2311yescharacteristic
302#13063299—21no—
303#13063299—21no—
304#13063299—21no—
305#13063299—21no—
306#13063299C2311yescharacteristic
307#13063299C2311yescharacteristic
308#13063299C2311yescharacteristic
309#13063298—21no—
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063298—21no—
317#13063298—21no—
318#13063298—21no—
319#13063298D411yescharacteristic
320#13063297—21no—
321#13063297—21no—
322#13063296—21no—
323#13063296—21no—
324#13063296C2311yescharacteristic
325#13063296C2311yescharacteristic
326#13063296C2311yescharacteristic
327#13063296C2311yescharacteristic
328#13063295—21no—
329#13063295—21no—
330#13063294—21no—
331#13063294—21no—
332#13063293—21no—
333#13063293—21no—
334Q8×Dic43C2311yescharacteristic
335Q8×Dic43C2311yescharacteristic
336C4×Dic86—21no—
337C4×Dic86—21no—
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340#13063290—21no—
341#13063290C2311yescharacteristic
342C4×D172—21no—
343C4×D172—21no—
344C4×D172—21no—
345C4×D172C2311yescharacteristic
346C4×D172C2311yescharacteristic
347C4×D172C2311yescharacteristic
348C4×D172C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351#13063287—21no—
352#13063287C2311yescharacteristic
353#13063287C2311yescharacteristic
354#13063287C2311yescharacteristic
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43—21no—
360C4×C22⋊D43—21no—
361C4×C22⋊D43—21no—
362C4×C22⋊D43—21no—
363C4×C22⋊D43—21no—
364C4×C22⋊D43C2311yescharacteristic
365C4×C22⋊D43C2311yescharacteristic
366(C22⋊D43)⋊C4—21no—
367(C22⋊D43)⋊C4—21no—
368#13063283C2311yescharacteristic
369#13063282—21no—
370#13063282—21no—
371#13063282C2311yescharacteristic
372C2×Dic43⋊C4—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C2×(C2×D43)⋊C4—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C42×D43—21no—
382C42×D43C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395C4⋊(C43⋊C8)C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
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#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063235C2311yescharacteristic
433C4×C43⋊C8C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C2×#41×C43C2311yescharacteristic
438C22×D4×C43C2311yescharacteristic
439AGL(1,ℤ/8)×C43—24no—
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×M16×C43C2311yescharacteristic
445C22×C8×C43C2311yescharacteristic
446C4×Q8×C43C2311yescharacteristic
447C4×Q8×C43C2311yescharacteristic
448C4×D4×C43—21no—
449C4×D4×C43—21no—
450C4×D4×C43—21no—
451C4×D4×C43—21no—
452C4×D4×C43C2311yescharacteristic
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43—21no—
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43—21no—
462C2×C4⋊C4×C43C2311yescharacteristic
463C2×C22⋊C4×C43—21no—
464C2×C22⋊C4×C43—21no—
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C24×C43—21no—
482C23×D43—21no—
483C23×D43—21no—
484#41×C43—22no—
485#41×C43—41no—
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—22no—
490C2×D4×C43—41no—
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43—21no—
502C22×C4×C43C2411yescharacteristic
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—82no—
519C2×C22⋊D43—82no—
520C2×C22⋊D43C2×D411yescharacteristic
521C2×C22⋊D43C2×D411yescharacteristic
522C22×Dic43—21no—
523C22×Dic43—21no—
524#10621902—22no—
525#10621902—41no—
526Q8×D43—22no—
527Q8×D43—41no—
528D4×D43—22no—
529D4×D43—22no—
530D4×D43—41no—
531D4×D43—41no—
532#10621898—82no—
533#10621898—82no—
534#10621898—82no—
535#10621898—82no—
536#10621898—82no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—21no—
540C2×D172—21no—
541C2×D172—21no—
542C2×D172—21no—
543C2×D172—82no—
544C2×D172C2×D411yescharacteristic
545C2×D172C2411yescharacteristic
546C2×D172C2411yescharacteristic
547C2×D172C2411yescharacteristic
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—82no—
560C2×C4×D43C2×D411yescharacteristic
561C2×C4×D43C2×D411yescharacteristic
562C2×C4×D43C2411yescharacteristic
563C2×C4×D43C2411yescharacteristic
564C2×Dic86—21no—
565C2×Dic86—21no—
566C2×Dic86—21no—
567C2×Dic86—21no—
568C2×Dic86—21no—
569C2×Dic86C2×D411yescharacteristic
570C2×Dic86C2411yescharacteristic
571SD16×C43—22no—
572SD16×C43#4114yescomplemented
573D8×C43—22no—
574D8×C43—22no—
575M16×C43—22no—
576C2×C8×C43—41no—
577C2×C8×C43C2411yescharacteristic
578C2×C8×C43C2411yescharacteristic
579C2×C8×C43C2411yescharacteristic
580C2×C8×C43C2411yescharacteristic
581C4⋊C4×C43—21no—
582C4⋊C4×C43—21no—
583C4⋊C4×C43—21no—
584C4⋊C4×C43C2×D411yescharacteristic
585C4⋊C4×C43C2×D411yescharacteristic
586C4⋊C4×C43C2411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
588C4⋊C4×C43C2411yescharacteristic
589C4⋊C4×C43C2411yescharacteristic
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C22⋊C4×C43—21no—
597C22⋊C4×C43C2×D411yescharacteristic
598C22⋊C4×C43C2×D411yescharacteristic
599C42×C43—21no—
600C42×C43—21no—
601C42×C43—21no—
602C42×C43C2411yescharacteristic
603C42×C43C2411yescharacteristic
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43—21no—
610C22⋊Dic43—21no—
611C22⋊Dic43—21no—
612C22⋊Dic43—21no—
613C22⋊Dic43C2×D411yescharacteristic
614C22⋊Dic43C2×D411yescharacteristic
615#10621884—22no—
616#10621884—22no—
617#10621883—22no—
618#10621883—41no—
619#10621882—22no—
620#10621882—41no—
621#10621882—41no—
622#10621882—41no—
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)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641(C2×D43)⋊C4C2×D411yescharacteristic
642(C2×D43)⋊C4C2×D411yescharacteristic
643(C2×D43)⋊C4C2×D411yescharacteristic
644(C2×D43)⋊C4C2×D411yescharacteristic
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43—21no—
649C4⋊Dic43—21no—
650C4⋊Dic43C2×D411yescharacteristic
651C4⋊Dic43C2×D411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654C4⋊Dic43C2411yescharacteristic
655C4⋊Dic43C2411yescharacteristic
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
671Dic43⋊C4C2×D411yescharacteristic
672Dic43⋊C4C2×D411yescharacteristic
673Dic43⋊C4C2×D411yescharacteristic
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43—21no—
679C4×Dic43C2×D411yescharacteristic
680C4×Dic43C2×D411yescharacteristic
681C4×Dic43C2411yescharacteristic
682C4×Dic43C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687D344—22no—
688D344—41no—
689#10621873—22no—
690#10621873—41no—
691#10621872—22no—
692C8×D43—22no—
693C8×D43—41no—
694C8×D43—41no—
695C23×C43—21no—
696C23×C43—21no—
697C23×C43—21no—
698C23×C43—42no—
699C23×C43—81no—
700C23×C43—81no—
701C23×C43C22×D411yescharacteristic
702C22×D43—21no—
703C22×D43—21no—
704C22×D43—21no—
705C22×D43—42no—
706C22×D43—42no—
707C22×D43—42no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43—81no—
711C22×D43C22×D411yescharacteristic
712C22×D43C22×D411yescharacteristic
713Q8×C43—21no—
714Q8×C43C2×#4112yes—
715D4×C43—21no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—21no—
719D4×C43—21no—
720D4×C43—42no—
721D4×C43—42no—
722D4×C43C2×#4112yes—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—42no—
731C2×C4×C43—81no—
732C2×C4×C43—81no—
733C2×C4×C43—81no—
734C2×C4×C43—81no—
735C2×C4×C43—81no—
736C2×C4×C43—81no—
737C2×C4×C43—81no—
738C2×C4×C43C22×D411yescharacteristic
739C2×C4×C43C22×D411yescharacteristic
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C2511yescharacteristic
744C22⋊D43—22no—
745C22⋊D43—22no—
746C22⋊D43—42no—
747C22⋊D43—42no—
748C22⋊D43—42no—
749C22⋊D43—42no—
750C22⋊D43—42no—
751C22⋊D43—42no—
752C22⋊D43—81no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—42no—
767C2×Dic43—81no—
768C2×Dic43C22×D411yescharacteristic
769C2×Dic43C22×D411yescharacteristic
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774D172—22no—
775D172—21no—
776D172—21no—
777D172—21no—
778D172—21no—
779D172—21no—
780D172—21no—
781D172—42no—
782D172—42no—
783D172—42no—
784D172—81no—
785D172—81no—
786D172—81no—
787C4×D43—22no—
788C4×D43—21no—
789C4×D43—21no—
790C4×D43—21no—
791C4×D43—21no—
792C4×D43—22no—
793C4×D43—42no—
794C4×D43—42no—
795C4×D43—42no—
796C4×D43—42no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802C4×D43—81no—
803C4×D43—81no—
804Dic86—22no—
805Dic86—21no—
806Dic86—21no—
807Dic86—42no—
808Dic86—81no—
809Dic86—81no—
810Dic86—81no—
811Dic86—81no—
812C8×C43—21no—
813C8×C43—21no—
814C8×C43—21no—
815C8×C43C2×#4112yes—
816C43⋊C8—21no—
817C43⋊C8—21no—
818C43⋊C8—21no—
819C43⋊C8—21no—
820#61498—431nomaximal, Sylow
821C22×C43—22no—
822C22×C43—21no—
823C22×C43—21no—
824C22×C43—21no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43—162no—
834C22×C43C23×D411yescharacteristic
835C2×D43—21no—
836C2×D43—21no—
837C2×D43—21no—
838C2×D43—21no—
839C2×D43—21no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—41no—
849C2×D43—84no—
850C2×D43—162no—
851C2×D43#57612yes—
852C4×C43—22no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—21no—
857C4×C43—21no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43—41no—
861C4×C43—41no—
862C4×C43C22×#4111yescharacteristic
863C4×C43#58511yescharacteristic
864Dic43—21no—
865Dic43—21no—
866Dic43—21no—
867Dic43—21no—
868Dic43—21no—
869Dic43—41no—
870Dic43—41no—
871Dic43—41no—
872Dic43—41no—
873Dic43—41no—
874Dic43#57712yes—
875#3522—431no—
876#3519—431no—
877#3399—431no—
878#3385—431no—
879#3362—431no—
880#3361—431no—
881#3357—431no—
882#3345—431no—
883#3345—431no—
884#3305—431no—
885#3301—431no—
886#3301—431no—
887#3295—431no—
888#3294—431no—
889#3294—431no—
890#3274—431no—
891#3265—431no—
892#3265—431no—
893#3179—431no—
894#3179—431no—
895#3169—431no—
896#3119—431no—
897#3119—431no—
898#3118—431no—
899#3118—431no—
900#3112—431no—
901#3109—431no—
902#2966—431no—
903#2946—431no—
904#2946D4311yescharacteristic, complemented
905C2×C4×SD16—431no—
906C2×C43—42no—
907C2×C43—41no—
908C2×C43—81no—
909C2×C43—81no—
910C2×C43D4×#4111yescharacteristic
911C2×C43C2×#57611yescharacteristic
912C2×C43C2×#57711yescharacteristic
913D43—22no—
914D43—41no—
915D43—81no—
916D43—81no—
917D43—81no—
918C2×AGL(1,ℤ/8)—431no—
919C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
920C22×SD16—431no—
921#559—431no—
922#559—861no—
923Q82—431no—
924#555—431no—
925#554—431no—
926#554—431no—
927#554—861no—
928#553—431no—
929#553—431no—
930#553—861no—
931#550—431no—
932#550—431no—
933#548—431no—
934#548—431no—
935#547—431no—
936#547—431no—
937#547—861no—
938#547—861no—
939#546—861no—
940#546—861no—
941#546—861no—
942D42—431no—
943D42—431no—
944D42—431no—
945#542—431no—
946#542—431no—
947#542—861no—
948#542—861no—
949#540—431no—
950#540—431no—
951#538—861no—
952#538—861no—
953#532—431no—
954#532—431no—
955#532—861no—
956#529—431no—
957#529—861no—
958#525—861no—
959C2×#121—861no—
960#520—431no—
961#520C2×D4311yescharacteristic, complemented
962#518—431no—
963#518C2×D4311yescharacteristic
964C2×C4×Q8—431no—
965C2×C4×D4—431no—
966#501—431no—
967#501—431no—
968#500—431no—
969#496—431no—
970#496—431no—
971#493—431no—
972#488—431no—
973#488—431no—
974#486—431no—
975#486—431no—
976#486—431no—
977#486—431no—
978#485—431no—
979#485—431no—
980#482—431no—
981#482—431no—
982#481—431no—
983#481—431no—
984#481—431no—
985#481—431no—
986#480—431no—
987#480—431no—
988#480—431no—
989#480—431no—
990#479—431no—
991#479—431no—
992#478—431no—
993#478—431no—
994#477—431no—
995#477—431no—
996#476—431no—
997#476—431no—
998#476—431no—
999#476—431no—
1000#474—431no—
1001#474—431no—
1002#469—431no—
1003#469—431no—
1004#468—431no—
1005#468—431no—
1006#466—431no—
1007#466—431no—
1008#466—431no—
1009#466—431no—
1010#466—431no—
1011#466—431no—
1012#465—431no—
1013#465—431no—
1014#463—431no—
1015#463—431no—
1016#463—431no—
1017#463—431no—
1018#460—431no—
1019#460—431no—
1020#460—431no—
1021#460—431no—
1022#459—431no—
1023#459—431no—
1024#459—431no—
1025#459—431no—
1026#450—431no—
1027#450—431no—
1028#449—431no—
1029#449—431no—
1030#449—431no—
1031#449—431no—
1032#448—431no—
1033#448—431no—
1034#447—431no—
1035#447—431no—
1036#447—431no—
1037#447—431no—
1038#446—431no—
1039C8×Q8—431no—
1040#442—431no—
1041#442—431no—
1042#442—431no—
1043#442—431no—
1044#442C2×D4311yescharacteristic
1045#442C2×D4311yescharacteristic, complemented
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050#440C2×D4311yescharacteristic
1051#440C2×D4311yescharacteristic, complemented
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16—431no—
1056C4×SD16—431no—
1057C4×SD16—431no—
1058C4×SD16—431no—
1059C4×SD16—431no—
1060C4×SD16C2×D4311yescharacteristic
1061C4×SD16C2×D4311yescharacteristic, complemented
1062C4×D8—431no—
1063C4×D8—431no—
1064C4×D8—431no—
1065C4×D8—431no—
1066C4×D8C2×D4311yescharacteristic
1067C4×D8C2×D4311yescharacteristic, complemented
1068#436—431no—
1069#435—431no—
1070#435—431no—
1071C8×D4—431no—
1072C8×D4—431no—
1073C8×D4—431no—
1074#433—431no—
1075#433—431no—
1076#432—431no—
1077#428—431no—
1078#428C2×D4311yescharacteristic, complemented
1079C2×#106—431no—
1080#416—431no—
1081#416C2×D4311yescharacteristic, complemented
1082C2×#103—431no—
1083C2×#102—431no—
1084C2×#102—431no—
1085C2×#102C2×D4311yescharacteristic
1086#405—431no—
1087#405C2×D4311yescharacteristic, complemented
1088C2×C4×C8—431no—
1089C43#6149811yescharacteristic, complemented, Sylow
1090C2×#41—431no—
1091C2×#41—861no—
1092C2×#41—861no—
1093C2×#41—861no—
1094C2×#41—861no—
1095C2×#41—861no—
1096C2×#41C22×D4311yescharacteristic
1097C22×Q8—431no—
1098C22×D4—431no—
1099C22×D4—431no—
1100C22×D4—861no—
1101C22×D4—861no—
1102C22×D4—861no—
1103C22×D4C22×D4311yescharacteristic
1104C23×C4—861no—
1105AGL(1,ℤ/8)—24no—
1106AGL(1,ℤ/8)—864no—
1107C2×SD16—431no—
1108C2×SD16—431no—
1109C2×SD16—431no—
1110C2×SD16—431no—
1111C2×SD16—431no—
1112C2×SD16—431no—
1113C2×SD16—864no—
1114C2×SD16C22×D4311yescharacteristic
1115C2×SD16C22×D4311yescharacteristic
1116C2×D8—431no—
1117C2×D8—431no—
1118C2×D8—431no—
1119C2×D8—431no—
1120C2×D8—431no—
1121C2×D8—431no—
1122C2×D8C22×D4311yescharacteristic
1123C2×D8C22×D4311yescharacteristic
1124C2×M16—431no—
1125C2×M16C22×D4311yescharacteristic
1126C22×C8—431no—
1127C22×C8—431no—
1128C22×C8—431no—
1129C22×C8C22×D4311yescharacteristic
1130C4⋊Q8—431no—
1131C4⋊Q8—431no—
1132C4⋊Q8—431no—
1133C4⋊Q8—431no—
1134C4⋊Q8—861no—
1135C4⋊Q8—861no—
1136C4⋊Q8—861no—
1137#127—431no—
1138#127—431no—
1139#127—431no—
1140#127—431no—
1141#127—861no—
1142#126—431no—
1143#126—431no—
1144#126—861no—
1145#126—861no—
1146#126—861no—
1147#126—861no—
1148#125—431no—
1149#125—431no—
1150#125—431no—
1151#125—861no—
1152#124—431no—
1153#124—431no—
1154#124—431no—
1155#124—861no—
1156#124—861no—
1157#124—861no—
1158#124—861no—
1159#124—861no—
1160#124—861no—
1161#124—861no—
1162#124—861no—
1163#124—861no—
1164#123—431no—
1165#123—431no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173#123—861no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177#123—861no—
1178#123—861no—
1179#123—861no—
1180C22⋊Q8—431no—
1181C22⋊Q8—431no—
1182C22⋊Q8—431no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8—861no—
1191C22⋊Q8—861no—
1192C22⋊Q8—861no—
1193C22⋊Q8—861no—
1194#121—431no—
1195#121—431no—
1196#121—431no—
1197#121—431no—
1198#121—431no—
1199#121—431no—
1200#121—431no—
1201#121—431no—
1202#121—431no—
1203#121—431no—
1204#121—431no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121—861no—
1213#121—861no—
1214#121—861no—
1215#121—861no—
1216#121—861no—
1217#121—861no—
1218#121—861no—
1219#121—861no—
1220#121—861no—
1221#121—861no—
1222#121—861no—
1223#121—861no—
1224#120—861no—
1225#120—861no—
1226#120—861no—
1227#120—861no—
1228#120—861no—
1229#120—861no—
1230C4×Q8—431no—
1231C4×Q8—431no—
1232C4×Q8—431no—
1233C4×Q8—431no—
1234C4×Q8—431no—
1235C4×Q8—861no—
1236C4×Q8—861no—
1237C4×Q8—861no—
1238C4×Q8C22×D4311yescharacteristic
1239C4×Q8C22×D4311yescharacteristic
1240C4×D4—21no—
1241C4×D4—21no—
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—431no—
1245C4×D4—431no—
1246C4×D4—431no—
1247C4×D4—431no—
1248C4×D4—431no—
1249C4×D4—431no—
1250C4×D4—431no—
1251C4×D4—431no—
1252C4×D4—431no—
1253C4×D4—431no—
1254C4×D4—431no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4—861no—
1263C4×D4—861no—
1264C4×D4—861no—
1265C4×D4—861no—
1266C4×D4—861no—
1267C4×D4—861no—
1268C4×D4—861no—
1269C4×D4—861no—
1270C4×D4C22×D4311yescharacteristic
1271C4×D4C22×D4311yescharacteristic
1272C4×D4C22×D4311yescharacteristic
1273C4×D4C22×D4311yescharacteristic
1274C4×D4C22×D4311yescharacteristic
1275C4×D4C22×D4311yescharacteristic
1276#117—21no—
1277#117—431no—
1278#117—431no—
1279#117—861no—
1280#117—861no—
1281#117C22×D4311yescharacteristic
1282#117C22×D4311yescharacteristic
1283C2×C4⋊C4—21no—
1284C2×C4⋊C4—431no—
1285C2×C4⋊C4—431no—
1286C2×C4⋊C4—431no—
1287C2×C4⋊C4—861no—
1288C2×C4⋊C4—861no—
1289C2×C4⋊C4—861no—
1290C2×C4⋊C4C22×D4311yescharacteristic
1291C2×C22⋊C4—21no—
1292C2×C22⋊C4—21no—
1293C2×C22⋊C4—861no—
1294C2×C22⋊C4—861no—
1295C2×C22⋊C4—861no—
1296C2×C42—431no—
1297C2×C42—861no—
1298#107—431no—
1299#107—431no—
1300#107—431no—
1301#107—431no—
1302#107—431no—
1303#107—431no—
1304#107C22×D4311yescharacteristic
1305#107C22×D4311yescharacteristic
1306#106—431no—
1307#106—431no—
1308#106—431no—
1309#106—431no—
1310#106—431no—
1311#106—431no—
1312#106C22×D4311yescharacteristic
1313#106C22×D4311yescharacteristic
1314C4⋊C8—431no—
1315C4⋊C8—431no—
1316C4⋊C8—431no—
1317C4⋊C8—431no—
1318C4⋊C8—431no—
1319C4⋊C8—431no—
1320#103—431no—
1321#103—431no—
1322#103—431no—
1323#103—431no—
1324#103—431no—
1325#103—431no—
1326#103C22×D4311yescharacteristic
1327#103C22×D4311yescharacteristic
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102—431no—
1342#102—431no—
1343#102—431no—
1344#102—431no—
1345#102—431no—
1346#102C22×D4311yescharacteristic
1347#102C22×D4311yescharacteristic
1348#102C22×D4311yescharacteristic
1349#102C22×D4311yescharacteristic
1350#102C22×D4311yescharacteristic
1351#102C22×D4311yescharacteristic
1352C22⋊C8—431no—
1353C22⋊C8—431no—
1354C22⋊C8—431no—
1355C22⋊C8—431no—
1356C22⋊C8—431no—
1357C22⋊C8—431no—
1358#97—431no—
1359#97—431no—
1360#97C22×D4311yescharacteristic
1361#97C22×D4311yescharacteristic
1362C4×C8—431no—
1363C4×C8—431no—
1364C4×C8—431no—
1365C4×C8—431no—
1366C4×C8C22×D4311yescharacteristic
1367C4×C8C22×D4311yescharacteristic
1368C24—21no—
1369C24—861no—
1370C24—861no—
1371#41—22no—
1372#41—41no—
1373#41—862no—
1374#41—3442no—
1375#41—3442no—
1376#41—3442no—
1377#41—3442no—
1378#41—3442no—
1379#41—1721no—
1380C2×Q8—431no—
1381C2×Q8—431no—
1382C2×Q8—861no—
1383C2×Q8—861no—
1384C2×Q8—861no—
1385C2×Q8—861no—
1386C2×Q8—861no—
1387C2×Q8—862no—
1388C2×Q8—1721no—
1389C2×Q8C23×D4311yescharacteristic
1390C2×D4—22no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—41no—
1394C2×D4—431no—
1395C2×D4—431no—
1396C2×D4—431no—
1397C2×D4—431no—
1398C2×D4—431no—
1399C2×D4—431no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—861no—
1411C2×D4—861no—
1412C2×D4—862no—
1413C2×D4—862no—
1414C2×D4—861no—
1415C2×D4—861no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—861no—
1420C2×D4—861no—
1421C2×D4—861no—
1422C2×D4—861no—
1423C2×D4—3442no—
1424C2×D4—3442no—
1425C2×D4—3442no—
1426C2×D4—1721no—
1427C2×D4—1721no—
1428C2×D4C23×D4311yescharacteristic
1429C2×D4C23×D4311yescharacteristic
1430C2×D4C23×D4311yescharacteristic
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—431no—
1440C22×C4—431no—
1441C22×C4—431no—
1442C22×C4—431no—
1443C22×C4—861no—
1444C22×C4—861no—
1445C22×C4—861no—
1446C22×C4—861no—
1447C22×C4—861no—
1448C22×C4—861no—
1449C22×C4—861no—
1450C22×C4—861no—
1451C22×C4—861no—
1452C22×C4—861no—
1453C22×C4—861no—
1454C22×C4—861no—
1455C22×C4—861no—
1456C22×C4—3442no—
1457C22×C4C23×D4311yescharacteristic
1458SD16—22no—
1459SD16—862no—
1460SD16—862no—
1461SD16—862no—
1462SD16—862no—
1463SD16—1721no—
1464SD16—1721no—
1465SD16#1062189814yescomplemented
1466D8—22no—
1467D8—22no—
1468D8—862no—
1469D8—862no—
1470D8—1721no—
1471D8—1721no—
1472D8—1721no—
1473D8—1721no—
1474M16—22no—
1475M16—862no—
1476C2×C8—41no—
1477C2×C8—431no—
1478C2×C8—431no—
1479C2×C8—431no—
1480C2×C8—431no—
1481C2×C8—862no—
1482C2×C8—1721no—
1483C2×C8—1721no—
1484C2×C8C23×D4311yescharacteristic
1485C2×C8C23×D4311yescharacteristic
1486C2×C8C23×D4311yescharacteristic
1487C2×C8C23×D4311yescharacteristic
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—431no—
1492C4⋊C4—431no—
1493C4⋊C4—431no—
1494C4⋊C4—431no—
1495C4⋊C4—431no—
1496C4⋊C4—431no—
1497C4⋊C4—431no—
1498C4⋊C4—431no—
1499C4⋊C4—431no—
1500C4⋊C4—431no—
1501C4⋊C4—431no—
1502C4⋊C4—431no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4—861no—
1511C4⋊C4—861no—
1512C4⋊C4—861no—
1513C4⋊C4—861no—
1514C4⋊C4—861no—
1515C4⋊C4—861no—
1516C4⋊C4—861no—
1517C4⋊C4—861no—
1518C4⋊C4—861no—
1519C4⋊C4—861no—
1520C4⋊C4D4×D4311yescharacteristic
1521C4⋊C4D4×D4311yescharacteristic
1522C4⋊C4C23×D4311yescharacteristic
1523C4⋊C4C23×D4311yescharacteristic
1524C4⋊C4C23×D4311yescharacteristic
1525C4⋊C4C23×D4311yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—431no—
1534C22⋊C4—431no—
1535C22⋊C4—431no—
1536C22⋊C4—431no—
1537C22⋊C4—431no—
1538C22⋊C4—431no—
1539C22⋊C4—431no—
1540C22⋊C4—431no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4D4×D4311yescharacteristic
1567C22⋊C4D4×D4311yescharacteristic
1568C42—21no—
1569C42—21no—
1570C42—21no—
1571C42—431no—
1572C42—431no—
1573C42—431no—
1574C42—431no—
1575C42—861no—
1576C42—861no—
1577C42—861no—
1578C42—861no—
1579C42—861no—
1580C42C23×D4311yescharacteristic
1581C42C23×D4311yescharacteristic
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—42no—
1586C23—81no—
1587C23—81no—
1588C23—431no—
1589C23—431no—
1590C23—861no—
1591C23—861no—
1592C23—861no—
1593C23—3441no—
1594C23—3441no—
1595C23—3441no—
1596C23—1722no—
1597C23—1722no—
1598C23—1722no—
1599C23C2×D4×D4311yescharacteristic
1600Q8—21no—
1601Q8—862no—
1602Q8—861no—
1603Q8—861no—
1604Q8—3441no—
1605Q8—3441no—
1606Q8—3441no—
1607Q8—3441no—
1608Q8—1722no—
1609Q8C2×#1062189812yes—
1610D4—21no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—42no—
1616D4—42no—
1617D4—862no—
1618D4—862no—
1619D4—862no—
1620D4—861no—
1621D4—861no—
1622D4—861no—
1623D4—861no—
1624D4—861no—
1625D4—861no—
1626D4—3441no—
1627D4—3441no—
1628D4—3441no—
1629D4—3441no—
1630D4—3441no—
1631D4—3441no—
1632D4—3441no—
1633D4—3441no—
1634D4—3441no—
1635D4—3441no—
1636D4—3441no—
1637D4—3441no—
1638D4—1722no—
1639D4—1722no—
1640D4—1722no—
1641D4—1722no—
1642D4—1722no—
1643D4—1722no—
1644D4—1722no—
1645D4—1722no—
1646D4—1722no—
1647D4C2×#1062189812yes—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—42no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—81no—
1662C2×C4—81no—
1663C2×C4—431no—
1664C2×C4—431no—
1665C2×C4—431no—
1666C2×C4—431no—
1667C2×C4—431no—
1668C2×C4—431no—
1669C2×C4—862no—
1670C2×C4—862no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
1677C2×C4—861no—
1678C2×C4—861no—
1679C2×C4—861no—
1680C2×C4—3441no—
1681C2×C4—3441no—
1682C2×C4—3441no—
1683C2×C4—3441no—
1684C2×C4—3441no—
1685C2×C4—3441no—
1686C2×C4—3441no—
1687C2×C4—3441no—
1688C2×C4—1722no—
1689C2×C4—1722no—
1690C2×C4—1722no—
1691C2×C4—1722no—
1692C2×C4—1722no—
1693C2×C4C2×D4×D4311yescharacteristic
1694C2×C4C2×D4×D4311yescharacteristic
1695C2×C4C2×D4×D4311yescharacteristic
1696C2×C4C2×D4×D4311yescharacteristic
1697C2×C4C2×D4×D4311yescharacteristic
1698C2×C4C24×D4311yescharacteristic
1699C8—21no—
1700C8—21no—
1701C8—21no—
1702C8—861no—
1703C8—861no—
1704C8—861no—
1705C8—861no—
1706C8C2×#1062189812yes—
1707C22—21no—
1708C22—21no—
1709C22—21no—
1710C22—22no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—162no—
1720C22—432no—
1721C22—861no—
1722C22—861no—
1723C22—861no—
1724C22—861no—
1725C22—861no—
1726C22—3444no—
1727C22—1721no—
1728C22—1721no—
1729C22—1721no—
1730C22—1721no—
1731C22—1721no—
1732C22—1721no—
1733C22—1721no—
1734C22—1721no—
1735C22—1721no—
1736C22—6882no—
1737C22C22×D4×D4311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—22no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—432no—
1749C4—861no—
1750C4—861no—
1751C4—861no—
1752C4—861no—
1753C4—861no—
1754C4—1721no—
1755C4—1721no—
1756C4—1721no—
1757C4—1721no—
1758C4—1721no—
1759C4C22×#1062189811yescharacteristic
1760C4#1458373511yescharacteristic
1761C2—41no—
1762C2—42no—
1763C2—81no—
1764C2—81no—
1765C2—862no—
1766C2—3441no—
1767C2—3441no—
1768C2—3441no—
1769C2—1721no—
1770C2D4×#1062189811yescharacteristic
1771C2#576×D4311yescharacteristic
1772C2#577×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#2946C2
socleC22×C43C23×D4
hypercenter#2946D43
hypocenterC43#61498
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #2946

Complements

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

NH ≅ G/Ntype
1. #19148674C2semidirect
2. #19148617C2semidirect
3. #19147638C2semidirect
4. #19147506C2semidirect
5. #19147264C2semidirect
6. #19147256C2semidirect
7. #19147217C2semidirect
8. #19147070C2semidirect
9. #19147066C2semidirect
10. #19146541C2semidirect
11. #19146502C2semidirect
12. #19146498C2semidirect
13. #19146415C2semidirect
14. #19146410C2semidirect
15. #19146404C2semidirect
16. #19146209C2semidirect
17. #19146092C2semidirect
18. #19146084C2semidirect
19. #19145282C2semidirect
20. #19145278C2semidirect
21. #19145171C2semidirect
22. #19144794C2semidirect
23. #19144792C2semidirect
24. #19144779C2semidirect
25. #19144777C2semidirect
26. #19144715C2semidirect
27. #19144684C2semidirect
28. #19143566C2semidirect
29. #19143422C2semidirect
30. C4×SD16×D43C2semidirect
31. C43×#2946C2semidirect
35. #14583632C22semidirect
36. Q8×Dic86C22semidirect
40. #14583604C22semidirect
45. #14583568C22semidirect
46. #14583561C22semidirect
47. #14583556C22semidirect
49. #14583554C22semidirect
51. #14583550C22semidirect
59. #14583520C22semidirect
61. #14583514C22semidirect
68. #14583446C22semidirect
73. #14583381C22semidirect
75. C4×Q8×D43C22semidirect
77. #14583308C22semidirect
78. #14583307C22semidirect
79. #14583303C22semidirect
80. #14583288C22semidirect
81. #14583287C22semidirect
82. #14583274C22semidirect
83. #14583254C22semidirect
84. #14583252C22semidirect
85. #14583246C22semidirect
86. #14583244C22semidirect
87. #14583244C22semidirect
88. #14583244C22semidirect
89. #14583243C22semidirect
90. #14583240C22semidirect
91. #14583223C22semidirect
92. #14583221C22semidirect
93. #14583219C22semidirect
94. #14583217C22semidirect
95. #14583216C22semidirect
96. #14583216C22semidirect
97. #14583214C22semidirect
98. #14583214C22semidirect
99. #14583212C22semidirect
100. #14583211C22semidirect
101. #14583206C22semidirect
102. #14583204C22semidirect
103. #14583202C22semidirect
104. #14583199C22semidirect
105. #14583193C22semidirect
106. #14583192C22semidirect
107. #14583189C22semidirect
108. #14583188C22semidirect
109. #14583188C22semidirect
113. #14583152C22semidirect
114. #14583149C22semidirect
115. #14583146C22semidirect
116. #14583145C22semidirect
117. #14583136C22semidirect
118. #14583135C22semidirect
119. #14583134C22semidirect
120. #14583134C22semidirect
121. #14583134C22semidirect
122. #14583132C22semidirect
123. #14583128C22semidirect
124. #14583127C22semidirect
126. #14583114C22semidirect
127. #14583113C22semidirect
129. #14583099C22semidirect
130. #14583098C22semidirect
131. #14583097C22semidirect
132. #14583097C22semidirect
133. #14583094C22semidirect
134. #14583093C22semidirect
135. #14583093C22semidirect
139. #14583047C22semidirect
140. #14583044C22semidirect
141. #14583044C22semidirect
142. #14583043C22semidirect
143. #14583039C22semidirect
144. #14583036C22semidirect
149. #14583027C22semidirect
150. C8×Dic86C22semidirect
151. #14583012C22semidirect
152. #14583010C22semidirect
154. #14583009C22semidirect
155. #14583001C22semidirect
157. #14582999C22semidirect
158. #14582997C22semidirect
160. C4×#10621873C22semidirect
162. C4×#10621884C22semidirect
163. #14582986C22semidirect
165. #14582984C22semidirect
166. #14582984C22semidirect
167. C4×D344C22semidirect
168. C4×#10621882C22semidirect
169. C4×#10621882C22semidirect
171. #14582975C22semidirect
172. #14582972C22semidirect
173. #14582968C22semidirect
174. C8×D172C22semidirect
175. C8×C22⋊D43C22semidirect
176. C8×C22⋊D43C22semidirect
177. #14582961C22semidirect
178. #14582960C22semidirect
179. #14582954C22semidirect
180. #14582938C22semidirect
181. #106×D43C22semidirect
182. #14582894C22semidirect
183. #103×D43C22semidirect
186. #14582853C22semidirect
187. C4×C8×D43C22semidirect
189. C43×#520C22semidirect
192. C43×#442C22semidirect
194. C43×#440C22semidirect
196. C4×SD16×C43C22semidirect
198. C4×D8×C43C22semidirect
199. C43×#428C22semidirect
200. C43×#416C22semidirect
202. C43×#405C22semidirect
572. SD16×C43#41semidirect
904. #2946D43semidirect
961. #520C2×D43semidirect
1045. #442C2×D43semidirect
1051. #440C2×D43semidirect
1061. C4×SD16C2×D43semidirect
1067. C4×D8C2×D43semidirect
1078. #428C2×D43semidirect
1081. #416C2×D43semidirect
1087. #405C2×D43semidirect
1089. C43#61498semidirect
1465. SD16#10621898semidirect

Maximal subgroups

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

subgroupindex
#191486742
#191486172
#191476382
#191475062
#191472642
#191472562
#191472172
#191470702
#191470662
#191465412
#191465022
#191464982
#191464152
#191464102
#191464042
#191462092
#191460922
#191460842
#191452822
#191452782
#191451712
#191447942
#191447922
#191447792
#191447772
#191447152
#191446842
#191435662
#191434222
C4×SD16×D432
C43×#29462
#6149843