Finite Group Databasebeta

← #25979737

Subgroups — #25979737

Order 11008.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148559C211yesmaximal, characteristic, complemented
2#19148542C211yesmaximal, characteristic, complemented
3#19147684C211yesmaximal, characteristic, complemented
4#19147491C211yesmaximal, characteristic, complemented
5#19147390C211yesmaximal, characteristic, complemented
6#19147351C211yesmaximal, characteristic, complemented
7#19147186C211yesmaximal, characteristic, complemented
8#19147106C211yesmaximal, characteristic, complemented
9#19146835C211yesmaximal, characteristic, complemented
10#19146809C211yesmaximal, characteristic, complemented
11#19146749C211yesmaximal, characteristic, complemented
12#19146730C211yesmaximal, characteristic, complemented
13#19146625C211yesmaximal, characteristic, complemented
14#19146554C211yesmaximal, characteristic, complemented
15#19146203C211yesmaximal, characteristic, complemented
16#19146080C211yesmaximal, characteristic, complemented
17#19146072C211yesmaximal, characteristic, complemented
18#19145271C211yesmaximal, characteristic, complemented
19#19145205C211yesmaximal, characteristic, complemented
20#19145192C211yesmaximal, characteristic, complemented
21#19144867C211yesmaximal, characteristic, complemented
22#19144834C211yesmaximal, characteristic, complemented
23#19144782C211yesmaximal, characteristic, complemented
24#19144774C211yesmaximal, characteristic, complemented
25#19144711C211yesmaximal, characteristic, complemented
26#19144688C211yesmaximal, characteristic, complemented
27#19143577C211yesmaximal, characteristic, complemented
28#19143446C211yesmaximal, characteristic, complemented
29#19143425C211yesmaximal, characteristic, complemented
30#19143400C211yesmaximal, characteristic, complemented
31C43×#3350C211yesmaximal, characteristic, complemented
32C2×#13063353C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C22×D344C2211yescharacteristic
35#14583634C2211yescharacteristic, complemented
36#14583632C2211yescharacteristic, complemented
37#14583612C2211yescharacteristic
38#14583612C2211yescharacteristic, complemented
39#14583605C2211yescharacteristic, complemented
40#14583599—21no—
41#14583588C2211yescharacteristic, complemented
42#14583577—21no—
43#14583574—21no—
44#14583574—21no—
45#14583574—21no—
46#14583564C2211yescharacteristic, complemented
47#14583561—21no—
48#14583550C2211yescharacteristic, complemented
49#14583546—21no—
50#14583546C2211yescharacteristic, complemented
51#14583545C2211yescharacteristic
52#14583542—21no—
53#14583540C2211yescharacteristic
54#14583540C2211yescharacteristic, complemented
55D4×D172C2211yescharacteristic, complemented
56#14583533C2211yescharacteristic, complemented
57#14583522C2211yescharacteristic, complemented
58#14583522C2211yescharacteristic, complemented
59#14583516C2211yescharacteristic, complemented
60#14583502C2211yescharacteristic, complemented
61#14583490—21no—
62#14583488—21no—
63#14583488—21no—
64#14583481—21no—
65#14583450C2211yescharacteristic, complemented
66#14583436—21no—
67#14583434C2211yescharacteristic, complemented
68#14583431C2211yescharacteristic
69#124×D43—21no—
70#14583408—21no—
71#123×D43—21no—
72#14583380C2211yescharacteristic, complemented
73#14583373C2211yescharacteristic, complemented
74#14583373C2211yescharacteristic, complemented
75#14583373C2211yescharacteristic, complemented
76C4×#10621902C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583296C2211yescharacteristic, complemented
80#14583288C2211yescharacteristic, complemented
81#14583285C2211yescharacteristic, complemented
82#14583280C2211yescharacteristic, complemented
83#14583265C2211yescharacteristic, complemented
84#14583261C2211yescharacteristic, complemented
85#14583260C2211yescharacteristic, complemented
86#14583257C2211yescharacteristic, complemented
87#14583255C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583243C2211yescharacteristic, complemented
90#14583240C2211yescharacteristic, complemented
91#14583226C2211yescharacteristic, complemented
92#14583223C2211yescharacteristic, complemented
93#14583223C2211yescharacteristic, complemented
94#14583219C2211yescharacteristic, complemented
95#14583219C2211yescharacteristic, complemented
96#14583217C2211yescharacteristic, complemented
97#14583202C2211yescharacteristic, complemented
98#14583198C2211yescharacteristic, complemented
99#14583196C2211yescharacteristic, complemented
100#14583188C2211yescharacteristic, complemented
101#14583188C2211yescharacteristic, complemented
102#14583188C2211yescharacteristic, complemented
103#14583186C2211yescharacteristic, complemented
104#14583183C2211yescharacteristic, complemented
105#14583178C2211yescharacteristic, complemented
106#14583178C2211yescharacteristic, complemented
107#14583155C2211yescharacteristic, complemented
108#14583153C2211yescharacteristic, complemented
109#14583153C2211yescharacteristic, complemented
110#14583152C2211yescharacteristic, complemented
111#14583150C2211yescharacteristic
112#14583146C2211yescharacteristic, complemented
113#14583146C2211yescharacteristic, complemented
114#14583133C2211yescharacteristic, complemented
115#14583130C2211yescharacteristic, complemented
116#14583128C2211yescharacteristic, complemented
117#14583124C2211yescharacteristic, complemented
118#14583121C2211yescharacteristic, complemented
119#14583117C2211yescharacteristic, complemented
120#14583117C2211yescharacteristic, complemented
121#14583117C2211yescharacteristic, complemented
122#14583115C2211yescharacteristic, complemented
123#14583113C2211yescharacteristic, complemented
124#14583113C2211yescharacteristic, complemented
125#14583095C2211yescharacteristic
126#14583094C2211yescharacteristic, complemented
127#14583093C2211yescharacteristic
128#14583093C2211yescharacteristic, complemented
129#14583064C2211yescharacteristic, complemented
130#14583059C2211yescharacteristic, complemented
131#14583052C2211yescharacteristic, complemented
132#14583049C2211yescharacteristic, complemented
133#14583047C2211yescharacteristic
134#14583046C2211yescharacteristic
135#14583035C2211yescharacteristic
136#14583035C2211yescharacteristic, complemented
137#14583034C2211yescharacteristic, complemented
138#14583034C2211yescharacteristic, complemented
139#14583032C2211yescharacteristic
140#14583032C2211yescharacteristic, complemented
141#14583028C2211yescharacteristic, complemented
142#14583027C2211yescharacteristic, complemented
143#14583012C2211yescharacteristic
144#14583010C2211yescharacteristic
145#14583010C2211yescharacteristic, complemented
146#14583010C2211yescharacteristic, complemented
147#14583010C2211yescharacteristic, complemented
148#14583010C2211yescharacteristic, complemented
149#14583010C2211yescharacteristic, complemented
150#14583009C2211yescharacteristic, complemented
151#14583008C2211yescharacteristic, complemented
152#14583008C2211yescharacteristic, complemented
153#14583003C2211yescharacteristic, complemented
154#14583002C2211yescharacteristic, complemented
155#14582998C2211yescharacteristic, complemented
156#14582998C2211yescharacteristic, complemented
157#14582997C2211yescharacteristic, complemented
158SD16×Dic43C2211yescharacteristic, complemented
159#14582986C2211yescharacteristic, complemented
160#14582986C2211yescharacteristic, complemented
161#14582986C2211yescharacteristic, complemented
162#14582984C2211yescharacteristic, complemented
163#14582981C2211yescharacteristic
164#14582981C2211yescharacteristic
165#14582981C2211yescharacteristic, complemented
166#14582981C2211yescharacteristic, complemented
167#14582981C2211yescharacteristic, complemented
168#14582981C2211yescharacteristic, complemented
169#14582979C2211yescharacteristic, complemented
170#14582975C2211yescharacteristic, complemented
171#14582974C2211yescharacteristic, complemented
172#14582971C2211yescharacteristic, complemented
173#14582970C2211yescharacteristic, complemented
174#14582967C2211yescharacteristic, complemented
175#14582957C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582955C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic, complemented
179#14582903C2211yescharacteristic, complemented
180#14582903C2211yescharacteristic, complemented
181#14582902C2211yescharacteristic, complemented
182#14582899C2211yescharacteristic, complemented
183#14582893C2211yescharacteristic, complemented
184C2×#13063245C2211yescharacteristic, complemented
185#14582857C2211yescharacteristic, complemented
186#14582854C2211yescharacteristic, complemented
187#14582851C2211yescharacteristic, complemented
188C43×#556C2211yescharacteristic, complemented
189C43×#553C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#483C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic, complemented
194C43×#482C2211yescharacteristic, complemented
195C43×#479C2211yescharacteristic, complemented
196C43×#476C2211yescharacteristic, complemented
197C43×#468C2211yescharacteristic, complemented
198C43×#465C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C43×#427C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×Q8×D43—21no—
208C22×D172C2311yescharacteristic
209C22×D172C2311yescharacteristic
210C22×D172C2311yescharacteristic
211C2×D4×D43—21no—
212C2×D4×D43—21no—
213C2×D4×D43C2311yescharacteristic
214C22×C4×D43—21no—
215#13063353—24no—
216#13063352—24no—
217C2×#10621885C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×D344—24no—
224C2×D344C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×D344C2311yescharacteristic
227C2×D344C2311yescharacteristic
228C2×D344C2311yescharacteristic
229C2×D344C2311yescharacteristic
230C2×#10621882C2311yescharacteristic
231C2×#10621882C2311yescharacteristic
232C2×#10621882C2311yescharacteristic
233C2×#10621877C2311yescharacteristic
234C2×#10621872C2311yescharacteristic
235C2×#10621872C2311yescharacteristic
236C22×C43⋊C8C2311yescharacteristic
237#13063324C2311yescharacteristic
238#13063324C2311yescharacteristic
239#13063324C2311yescharacteristic
240#13063322C2311yescharacteristic
241#13063321C2311yescharacteristic
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318D411yescharacteristic
248#13063318D411yescharacteristic
249#13063317—21no—
250#13063316D411yescharacteristic
251#13063316C2311yescharacteristic
252#13063314—21no—
253#13063314C2311yescharacteristic
254#13063314C2311yescharacteristic
255#13063313—21no—
256#13063313—21no—
257#13063313—21no—
258#13063313C2311yescharacteristic
259#13063312—21no—
260#13063312D411yescharacteristic
261#13063312C2311yescharacteristic
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063311—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063309—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#13063307D411yescharacteristic
285#13063306—21no—
286#13063305—21no—
287#13063305—21no—
288#13063305—21no—
289#13063305D411yescharacteristic
290#13063305C2311yescharacteristic
291#13063304C2311yescharacteristic
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063302—21no—
298#13063301—21no—
299#13063300—21no—
300#13063300—21no—
301#13063300—21no—
302#13063300—21no—
303#13063300C2311yescharacteristic
304#13063300C2311yescharacteristic
305#13063300C2311yescharacteristic
306#13063299C2311yescharacteristic
307#13063299C2311yescharacteristic
308#13063299C2311yescharacteristic
309#13063298—21no—
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063297—21no—
314#13063296—21no—
315#13063296—21no—
316#13063296D411yescharacteristic
317#13063295—21no—
318#13063295—21no—
319#13063295—21no—
320#13063295—21no—
321#13063295—21no—
322#13063293—21no—
323#13063293—21no—
324#13063293—21no—
325Q8×Dic43C2311yescharacteristic
326C4×Dic86C2311yescharacteristic
327#13063290C2311yescharacteristic
328#13063290C2311yescharacteristic
329C4×D172—21no—
330C4×D172—21no—
331C4×D172—21no—
332C4×D172—21no—
333C4×D172—21no—
334C4×D172—21no—
335C4×D172—21no—
336C4×D172—21no—
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340#13063287—21no—
341#13063287—21no—
342#13063287—21no—
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
352#13063287C2311yescharacteristic
353#13063287C2311yescharacteristic
354#13063287C2311yescharacteristic
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43C2311yescharacteristic
360C4×C22⋊D43C2311yescharacteristic
361(C22⋊D43)⋊C4—21no—
362#13063284C2311yescharacteristic
363#13063284C2311yescharacteristic
364#13063283—21no—
365#13063283—21no—
366#13063283—21no—
367#13063283C2311yescharacteristic
368#13063282—21no—
369#13063282—21no—
370#13063282—21no—
371C4⋊C4×D43—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43C2311yescharacteristic
374C22⋊C4×D43—21no—
375C22⋊C4×D43—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C42×D43—21no—
386C42×D43C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063248C2311yescharacteristic
402#13063248C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063247C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063246C2311yescharacteristic
410#13063245C2311yescharacteristic
411#13063245C2311yescharacteristic
412#13063245C2311yescharacteristic
413#13063245C2311yescharacteristic
414#13063245C2311yescharacteristic
415#13063245C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
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#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#126×C43—21no—
444#126×C43—21no—
445#125×C43C2311yescharacteristic
446#124×C43—21no—
447#123×C43—21no—
448C22⋊Q8×C43C2311yescharacteristic
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43—21no—
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×Q8×C43—21no—
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43—21no—
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C23×D43—21no—
485C2×Q8×C43—21no—
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43C2×D411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43C2411yescharacteristic
494C22×C4×C43C2411yescharacteristic
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43C2×D411yescharacteristic
503C2×C22⋊D43C2×D411yescharacteristic
504C22×Dic43—21no—
505#10621902—22no—
506#10621902—41no—
507#10621902—82no—
508Q8×D43—82no—
509D4×D43—22no—
510D4×D43—41no—
511D4×D43—82no—
512D4×D43—82no—
513#10621898—22no—
514#10621898—41no—
515#10621898—82no—
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×D172—21no—
525C2×D172—22no—
526C2×D172—22no—
527C2×D172—22no—
528C2×D172—41no—
529C2×D172—41no—
530C2×D172—41no—
531C2×D172C2411yescharacteristic
532C2×D172C2411yescharacteristic
533C2×D172C2411yescharacteristic
534C2×D172C2411yescharacteristic
535C2×D172C2411yescharacteristic
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×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—82no—
554C2×C4×D43C2×D411yescharacteristic
555C2×C4×D43C2×D411yescharacteristic
556C2×C4×D43C2411yescharacteristic
557C2×Dic86—21no—
558C2×Dic86—21no—
559C2×Dic86—21no—
560C2×Dic86C2×D411yescharacteristic
561C2×Dic86C2411yescharacteristic
562SD16×C43—22no—
563M16×C43—22no—
564C2×C8×C43—22no—
565C2×C8×C43C2411yescharacteristic
566C2×C8×C43C2411yescharacteristic
567C2×C8×C43C2411yescharacteristic
568C2×C8×C43C2411yescharacteristic
569C4⋊C4×C43—21no—
570C4⋊C4×C43—21no—
571C4⋊C4×C43—21no—
572C4⋊C4×C43—21no—
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43C2×D411yescharacteristic
577C4⋊C4×C43C2411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C4⋊C4×C43C2411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C4⋊C4×C43C2411yescharacteristic
582C4⋊C4×C43C2411yescharacteristic
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43C2×D411yescharacteristic
592C22⋊C4×C43C2×D411yescharacteristic
593C42×C43—21no—
594C42×C43—21no—
595C42×C43—21no—
596C42×C43—21no—
597C42×C43C2411yescharacteristic
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43C2×D411yescharacteristic
603C22⋊Dic43C2×D411yescharacteristic
604C22⋊Dic43C2×D411yescharacteristic
605C22⋊Dic43C2×D411yescharacteristic
606C22⋊Dic43C2×D411yescharacteristic
607C22⋊Dic43C2×D411yescharacteristic
608#10621885—41no—
609#10621884—22no—
610#10621884—41no—
611#10621882—22no—
612#10621882—41no—
613#10621882—41no—
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)⋊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)⋊C4—21no—
640(C2×D43)⋊C4—21no—
641(C2×D43)⋊C4—21no—
642(C2×D43)⋊C4C2×D411yescharacteristic
643(C2×D43)⋊C4C2×D411yescharacteristic
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43C2×D411yescharacteristic
648C4⋊Dic43C2×D411yescharacteristic
649C4⋊Dic43C2×D411yescharacteristic
650C4⋊Dic43C2×D411yescharacteristic
651C4⋊Dic43C2×D411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2411yescharacteristic
673C4×Dic43C2411yescharacteristic
674C4×Dic43C2411yescharacteristic
675#10621877—41no—
676C2×C43⋊C8—41no—
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681D344—22no—
682D344—22no—
683D344—22no—
684D344—22no—
685D344—41no—
686D344#4114yescomplemented
687#10621873—22no—
688#10621873—22no—
689#10621873—41no—
690#10621872—22no—
691#10621872—41no—
692C23×C43—21no—
693C23×C43C22×D411yescharacteristic
694C23×C43C22×D411yescharacteristic
695C22×D43—21no—
696C22×D43—21no—
697C22×D43—21no—
698C22×D43—21no—
699C22×D43—21no—
700C22×D43—42no—
701C22×D43—42no—
702C22×D43—42no—
703C22×D43—42no—
704C22×D43—42no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43—81no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43—81no—
711C22×D43—81no—
712C22×D43C22×D411yescharacteristic
713Q8×C43—21no—
714Q8×C43—21no—
715Q8×C43—42no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—41no—
719D4×C43—81no—
720D4×C43—81no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
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—21no—
731C2×C4×C43—21no—
732C2×C4×C43—81no—
733C2×C4×C43—81no—
734C2×C4×C43C22×D411yescharacteristic
735C2×C4×C43C22×D411yescharacteristic
736C2×C4×C43C22×D411yescharacteristic
737C2×C4×C43C22×D411yescharacteristic
738C2×C4×C43C2511yescharacteristic
739C22⋊D43—41no—
740C22⋊D43—41no—
741C22⋊D43—42no—
742C22⋊D43—42no—
743C22⋊D43—81no—
744C22⋊D43—81no—
745C22⋊D43—81no—
746C22⋊D43—81no—
747C22⋊D43—81no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—81no—
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755C2×Dic43C22×D411yescharacteristic
756C2×Dic43C22×D411yescharacteristic
757C2×Dic43C22×D411yescharacteristic
758C2×Dic43C22×D411yescharacteristic
759D172—21no—
760D172—21no—
761D172—21no—
762D172—21no—
763D172—21no—
764D172—21no—
765D172—21no—
766D172—21no—
767D172—42no—
768D172—42no—
769D172—42no—
770D172—42no—
771D172—42no—
772D172—42no—
773D172—81no—
774D172—81no—
775D172—81no—
776D172C2×#4112yes—
777D172C2×#4112yes—
778C4×D43—21no—
779C4×D43—21no—
780C4×D43—41no—
781C4×D43—41no—
782C4×D43—42no—
783C4×D43—42no—
784C4×D43—42no—
785C4×D43—42no—
786C4×D43—81no—
787C4×D43—81no—
788C4×D43—81no—
789C4×D43—81no—
790C4×D43—81no—
791C4×D43—81no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799Dic86—21no—
800Dic86—21no—
801Dic86—41no—
802Dic86—81no—
803Dic86—81no—
804Dic86—81no—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43C2×#4112yes—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8—21no—
813#61505—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43—21no—
818C22×C43—21no—
819C22×C43—21no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43C23×D411yescharacteristic
824C2×D43—21no—
825C2×D43—21no—
826C2×D43—22no—
827C2×D43—22no—
828C2×D43—21no—
829C2×D43—41no—
830C2×D43—41no—
831C2×D43—41no—
832C2×D43—41no—
833C2×D43—41no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—84no—
843C2×D43—162no—
844C2×D43—162no—
845C2×D43—162no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855C4×C43—41no—
856C4×C43—41no—
857C4×C43C22×#4111yescharacteristic
858C4×C43#58511yescharacteristic
859Dic43—21no—
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
863Dic43—21no—
864Dic43—21no—
865Dic43—21no—
866Dic43—41no—
867Dic43—41no—
868Dic43—41no—
869#3514—431no—
870#3513—431no—
871#3403—431no—
872#3384—431no—
873#3373—431no—
874#3370—431no—
875#3354—431no—
876#3350D4311yescharacteristic, complemented
877#3348—431no—
878#3325—431no—
879#3323—431no—
880#3319—431no—
881#3318—431no—
882#3311—431no—
883#3306—431no—
884#3273—431no—
885#3264—431no—
886#3264—431no—
887#3179—431no—
888#3173—431no—
889#3171—431no—
890#3125—431no—
891#3122—431no—
892#3118—431no—
893#3118—431no—
894#3111—431no—
895#3109—431no—
896#2967—431no—
897#2948—431no—
898#2946—431no—
899C4×AGL(1,ℤ/8)—431no—
900C2×C43—41no—
901C2×C43—41no—
902C2×C43—81no—
903C2×C43D4×#4111yescharacteristic
904C2×C43#358511yescharacteristic
905C2×C43#358511yescharacteristic
906D43—41no—
907D43—42no—
908D43—42no—
909D43—81no—
910D43—81no—
911D43—81no—
912C2×AGL(1,ℤ/8)—431no—
913C2×AGL(1,ℤ/8)—431no—
914C22×D8—431no—
915#559—431no—
916#559—431no—
917#556C2×D4311yescharacteristic, complemented
918#555—431no—
919#555—431no—
920#554—431no—
921#553—861no—
922#553C2×D4311yescharacteristic
923#552—431no—
924#551—861no—
925#551—861no—
926#551—861no—
927#551—861no—
928D4×Q8—431no—
929#548—861no—
930#547—431no—
931#546—431no—
932#546—431no—
933#546—431no—
934#546—431no—
935#546—861no—
936#546—861no—
937D42—431no—
938D42—431no—
939#542—431no—
940#542—431no—
941#542—431no—
942#540—431no—
943#539—861no—
944#538—861no—
945#538—861no—
946#538—861no—
947#532—431no—
948#529—431no—
949#529—431no—
950#529—861no—
951C2×#124—861no—
952#525—861no—
953C2×#123—861no—
954#520—431no—
955#518—431no—
956#518—431no—
957#518—431no—
958C4×#41—431no—
959C2×C4×D4—431no—
960#501—431no—
961#501C2×D4311yescharacteristic, complemented
962#498—431no—
963#496—431no—
964#496—431no—
965#495—431no—
966#490—431no—
967#489—431no—
968#489—431no—
969#489—431no—
970#488—431no—
971#486—431no—
972#485—431no—
973#485—431no—
974#485C2×D4311yescharacteristic, complemented
975#483C2×D4311yescharacteristic, complemented
976#482—431no—
977#482—431no—
978#482—431no—
979#482C2×D4311yescharacteristic, complemented
980#482C2×D4311yescharacteristic, complemented
981#481—431no—
982#481—431no—
983#481—431no—
984#479C2×D4311yescharacteristic, complemented
985#478—431no—
986#478—431no—
987#478—431no—
988#476—431no—
989#476—431no—
990#476—431no—
991#476—431no—
992#476C2×D4311yescharacteristic, complemented
993#475—431no—
994#474—431no—
995#474—431no—
996#470—431no—
997#469—431no—
998#469—431no—
999#469—431no—
1000#469—431no—
1001#468—431no—
1002#468—431no—
1003#468C2×D4311yescharacteristic, complemented
1004#466—431no—
1005#465—431no—
1006#465—431no—
1007#465C2×D4311yescharacteristic, complemented
1008#464—431no—
1009#464—431no—
1010#463—431no—
1011#463—431no—
1012#463—431no—
1013#463—431no—
1014#463—431no—
1015#463—431no—
1016#459—431no—
1017#459—431no—
1018#459—431no—
1019#459—431no—
1020#452—431no—
1021#452—431no—
1022#450—431no—
1023#450—431no—
1024#449—431no—
1025#449—431no—
1026#447—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#447—431no—
1031#447—431no—
1032#446—431no—
1033#446—431no—
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#442—431no—
1043#442—431no—
1044#441—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×SD16—431no—
1054C4×SD16—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061C4×D8—431no—
1062#436—431no—
1063#436—431no—
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#435C2×D4311yescharacteristic, complemented
1068#433—431no—
1069#433—431no—
1070#432—431no—
1071#428—431no—
1072#428C2×D4311yescharacteristic, complemented
1073#427C2×D4311yescharacteristic, complemented
1074#418—431no—
1075#418—431no—
1076#418—431no—
1077#417—431no—
1078#416—431no—
1079C2×#102—431no—
1080#405—431no—
1081#405—431no—
1082C4×M16—431no—
1083C43#6150511yescharacteristic, complemented, Sylow
1084C2×#41—431no—
1085C2×#41—431no—
1086C2×#41—861no—
1087C2×#41—861no—
1088C22×Q8—861no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—431no—
1093C22×D4—861no—
1094C22×D4—861no—
1095C23×C4—861no—
1096AGL(1,ℤ/8)—864no—
1097AGL(1,ℤ/8)—864no—
1098C2×Q16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×SD16C22×D4311yescharacteristic
1105C2×D8—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—431no—
1113C2×D8—431no—
1114C2×D8—864no—
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16—431no—
1118C2×M16C22×D4311yescharacteristic
1119C22×C8—431no—
1120C22×C8C22×D4311yescharacteristic
1121C4⋊Q8—431no—
1122C4⋊Q8—431no—
1123C4⋊Q8—431no—
1124C4⋊Q8C22×D4311yescharacteristic
1125#127—431no—
1126#127—431no—
1127#126—21no—
1128#126—21no—
1129#126—21no—
1130#126—431no—
1131#126—431no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#125—431no—
1138#125—431no—
1139#125—861no—
1140#125C22×D4311yescharacteristic
1141#124—21no—
1142#124—431no—
1143#124—431no—
1144#124—431no—
1145#124—431no—
1146#124—431no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124—861no—
1156#124—861no—
1157#123—21no—
1158#123—431no—
1159#123—431no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
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—
1177C22⋊Q8—431no—
1178C22⋊Q8—431no—
1179C22⋊Q8—431no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8C22×D4311yescharacteristic
1191C22⋊Q8C22×D4311yescharacteristic
1192#121—21no—
1193#121—431no—
1194#121—431no—
1195#121—431no—
1196#121—431no—
1197#121—431no—
1198#121—431no—
1199#121—431no—
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#121—861no—
1211#121C22×D4311yescharacteristic
1212#121C22×D4311yescharacteristic
1213#120—861no—
1214#120—861no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220#120—861no—
1221C4×Q8—21no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—431no—
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—21no—
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—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—431no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4C22×D4311yescharacteristic
1262C4×D4C22×D4311yescharacteristic
1263#117—431no—
1264#117—431no—
1265#117—431no—
1266#117—861no—
1267#117—861no—
1268#117—861no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117C22×D4311yescharacteristic
1273#117C22×D4311yescharacteristic
1274#117C22×D4311yescharacteristic
1275C2×C4⋊C4—431no—
1276C2×C4⋊C4—861no—
1277C2×C4⋊C4—861no—
1278C2×C4⋊C4C22×D4311yescharacteristic
1279C2×C22⋊C4—861no—
1280C2×C22⋊C4—861no—
1281C2×C22⋊C4—861no—
1282C2×C22⋊C4—861no—
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C22⋊C4—861no—
1290C2×C42—431no—
1291C2×C42—861no—
1292#107—431no—
1293#107—431no—
1294#107C22×D4311yescharacteristic
1295#107C22×D4311yescharacteristic
1296#107C22×D4311yescharacteristic
1297#107C22×D4311yescharacteristic
1298#106—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106C22×D4311yescharacteristic
1304#106C22×D4311yescharacteristic
1305#106C22×D4311yescharacteristic
1306#106C22×D4311yescharacteristic
1307#106C22×D4311yescharacteristic
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312C4⋊C8—431no—
1313C4⋊C8C22×D4311yescharacteristic
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103C22×D4311yescharacteristic
1320#103C22×D4311yescharacteristic
1321#103C22×D4311yescharacteristic
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
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#102C22×D4311yescharacteristic
1344#102C22×D4311yescharacteristic
1345#102C22×D4311yescharacteristic
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350C22⋊C8C22×D4311yescharacteristic
1351C22⋊C8C22×D4311yescharacteristic
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97—431no—
1356#97—431no—
1357#97C22×D4311yescharacteristic
1358C4×C8—431no—
1359C4×C8—431no—
1360C4×C8—431no—
1361C4×C8—431no—
1362C24—861no—
1363C24—861no—
1364C24—861no—
1365C24—861no—
1366#41—862no—
1367#41—862no—
1368#41—3442no—
1369#41—3442no—
1370#41—1721no—
1371#41—1721no—
1372C2×Q8—21no—
1373C2×Q8—431no—
1374C2×Q8—431no—
1375C2×Q8—861no—
1376C2×Q8—861no—
1377C2×Q8—861no—
1378C2×Q8—3442no—
1379C2×Q8C23×D4311yescharacteristic
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—431no—
1383C2×D4—431no—
1384C2×D4—431no—
1385C2×D4—431no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—431no—
1389C2×D4—862no—
1390C2×D4—862no—
1391C2×D4—862no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—862no—
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—3442no—
1410C2×D4—3442no—
1411C2×D4—1721no—
1412C2×D4—1721no—
1413C2×D4—1721no—
1414C2×D4—1721no—
1415C2×D4D4×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—431no—
1420C22×C4—431no—
1421C22×C4—431no—
1422C22×C4—861no—
1423C22×C4—861no—
1424C22×C4—861no—
1425C22×C4—861no—
1426C22×C4—861no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—3442no—
1441C22×C4C23×D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443Q16—1721no—
1444SD16—22no—
1445SD16—862no—
1446SD16—862no—
1447SD16—862no—
1448SD16—1721no—
1449SD16—1721no—
1450D8—434no—
1451D8—862no—
1452D8—862no—
1453D8—862no—
1454D8—862no—
1455D8—862no—
1456D8—1721no—
1457D8—1721no—
1458D8—1721no—
1459M16—22no—
1460M16—862no—
1461M16—1721no—
1462M16—1721no—
1463C2×C8—22no—
1464C2×C8—431no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—1721no—
1469C2×C8C23×D4311yescharacteristic
1470C2×C8C23×D4311yescharacteristic
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—431no—
1483C4⋊C4—431no—
1484C4⋊C4—431no—
1485C4⋊C4—431no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—431no—
1489C4⋊C4—431no—
1490C4⋊C4—431no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4D4×D4311yescharacteristic
1503C4⋊C4C23×D4311yescharacteristic
1504C4⋊C4C23×D4311yescharacteristic
1505C4⋊C4C23×D4311yescharacteristic
1506C4⋊C4C23×D4311yescharacteristic
1507C4⋊C4C23×D4311yescharacteristic
1508C4⋊C4C23×D4311yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—431no—
1518C22⋊C4—431no—
1519C22⋊C4—431no—
1520C22⋊C4—431no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1558C22⋊C4D4×D4311yescharacteristic
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—431no—
1564C42—431no—
1565C42—431no—
1566C42—431no—
1567C42—431no—
1568C42—861no—
1569C42—861no—
1570C42—861no—
1571C42—861no—
1572C42C23×D4311yescharacteristic
1573C23—21no—
1574C23—431no—
1575C23—861no—
1576C23—861no—
1577C23—861no—
1578C23—861no—
1579C23—861no—
1580C23—3441no—
1581C23—3441no—
1582C23—3441no—
1583C23—3441no—
1584C23—3441no—
1585C23—3441no—
1586C23—3441no—
1587C23—1722no—
1588C23—1722no—
1589C23—1722no—
1590C23—1722no—
1591C23—1722no—
1592C23C2×D4×D4311yescharacteristic
1593C23C2×D4×D4311yescharacteristic
1594Q8—21no—
1595Q8—21no—
1596Q8—42no—
1597Q8—861no—
1598Q8—861no—
1599Q8—3441no—
1600Q8—3441no—
1601Q8—3441no—
1602Q8—1721no—
1603D4—21no—
1604D4—21no—
1605D4—41no—
1606D4—81no—
1607D4—81no—
1608D4—432no—
1609D4—432no—
1610D4—861no—
1611D4—861no—
1612D4—861no—
1613D4—861no—
1614D4—861no—
1615D4—861no—
1616D4—861no—
1617D4—861no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—3441no—
1626D4—1722no—
1627D4—1722no—
1628D4—1722no—
1629D4—1722no—
1630D4—1722no—
1631D4—1722no—
1632D4—1721no—
1633D4—1721no—
1634D4—1722no—
1635D4—1722no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—431no—
1650C2×C4—431no—
1651C2×C4—431no—
1652C2×C4—431no—
1653C2×C4—431no—
1654C2×C4—431no—
1655C2×C4—431no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—3441no—
1662C2×C4—3441no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—3441no—
1672C2×C4—3441no—
1673C2×C4—3441no—
1674C2×C4—3441no—
1675C2×C4—1721no—
1676C2×C4—1721no—
1677C2×C4—1722no—
1678C2×C4—1722no—
1679C2×C4—1722no—
1680C2×C4—1722no—
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C2×D4×D4311yescharacteristic
1684C2×C4C2×D4×D4311yescharacteristic
1685C2×C4C24×D4311yescharacteristic
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C8—861no—
1693C8#41×D4312yes—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—861no—
1704C22—862no—
1705C22—862no—
1706C22—861no—
1707C22—861no—
1708C22—3444no—
1709C22—1721no—
1710C22—1721no—
1711C22—1721no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—6882no—
1723C22—6882no—
1724C22—6882no—
1725C22C22×D4×D4311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—861no—
1738C4—861no—
1739C4—861no—
1740C4—861no—
1741C4—861no—
1742C4—861no—
1743C4—861no—
1744C4—1721no—
1745C4—1721no—
1746C4—1721no—
1747C4C2×#41×D4311yescharacteristic
1748C4#1458373611yescharacteristic
1749C2—41no—
1750C2—41no—
1751C2—81no—
1752C2—3441no—
1753C2—3441no—
1754C2—3441no—
1755C2—1721no—
1756C2—1722no—
1757C2—1722no—
1758C2#1914808211yescharacteristic
1759C2#1914937211yescharacteristic
1760C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3350C2
socleC22×C43C23×D4
hypercenter#3350D43
hypocenterC43#61505
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3350

Complements

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

NH ≅ G/Ntype
1. #19148559C2semidirect
2. #19148542C2semidirect
3. #19147684C2semidirect
4. #19147491C2semidirect
5. #19147390C2semidirect
6. #19147351C2semidirect
7. #19147186C2semidirect
8. #19147106C2semidirect
9. #19146835C2semidirect
10. #19146809C2semidirect
11. #19146749C2semidirect
12. #19146730C2semidirect
13. #19146625C2semidirect
14. #19146554C2semidirect
15. #19146203C2semidirect
16. #19146080C2semidirect
17. #19146072C2semidirect
18. #19145271C2semidirect
19. #19145205C2semidirect
20. #19145192C2semidirect
21. #19144867C2semidirect
22. #19144834C2semidirect
23. #19144782C2semidirect
24. #19144774C2semidirect
25. #19144711C2semidirect
26. #19144688C2semidirect
27. #19143577C2semidirect
28. #19143446C2semidirect
29. #19143425C2semidirect
30. #19143400C2semidirect
31. C43×#3350C2semidirect
35. #14583634C22semidirect
36. #14583632C22semidirect
38. #14583612C22semidirect
39. #14583605C22semidirect
41. #14583588C22semidirect
46. #14583564C22semidirect
48. #14583550C22semidirect
50. #14583546C22semidirect
54. #14583540C22semidirect
55. D4×D172C22semidirect
56. #14583533C22semidirect
57. #14583522C22semidirect
58. #14583522C22semidirect
59. #14583516C22semidirect
60. #14583502C22semidirect
65. #14583450C22semidirect
67. #14583434C22semidirect
72. #14583380C22semidirect
73. #14583373C22semidirect
74. #14583373C22semidirect
75. #14583373C22semidirect
76. C4×#10621902C22semidirect
77. C4×D4×D43C22semidirect
78. #14583307C22semidirect
79. #14583296C22semidirect
80. #14583288C22semidirect
81. #14583285C22semidirect
82. #14583280C22semidirect
83. #14583265C22semidirect
84. #14583261C22semidirect
85. #14583260C22semidirect
86. #14583257C22semidirect
87. #14583255C22semidirect
88. #14583244C22semidirect
89. #14583243C22semidirect
90. #14583240C22semidirect
91. #14583226C22semidirect
92. #14583223C22semidirect
93. #14583223C22semidirect
94. #14583219C22semidirect
95. #14583219C22semidirect
96. #14583217C22semidirect
97. #14583202C22semidirect
98. #14583198C22semidirect
99. #14583196C22semidirect
100. #14583188C22semidirect
101. #14583188C22semidirect
102. #14583188C22semidirect
103. #14583186C22semidirect
104. #14583183C22semidirect
105. #14583178C22semidirect
106. #14583178C22semidirect
107. #14583155C22semidirect
108. #14583153C22semidirect
109. #14583153C22semidirect
110. #14583152C22semidirect
112. #14583146C22semidirect
113. #14583146C22semidirect
114. #14583133C22semidirect
115. #14583130C22semidirect
116. #14583128C22semidirect
117. #14583124C22semidirect
118. #14583121C22semidirect
119. #14583117C22semidirect
120. #14583117C22semidirect
121. #14583117C22semidirect
122. #14583115C22semidirect
123. #14583113C22semidirect
124. #14583113C22semidirect
126. #14583094C22semidirect
128. #14583093C22semidirect
129. #14583064C22semidirect
130. #14583059C22semidirect
131. #14583052C22semidirect
132. #14583049C22semidirect
136. #14583035C22semidirect
137. #14583034C22semidirect
138. #14583034C22semidirect
140. #14583032C22semidirect
141. #14583028C22semidirect
142. #14583027C22semidirect
145. #14583010C22semidirect
146. #14583010C22semidirect
147. #14583010C22semidirect
148. #14583010C22semidirect
149. #14583010C22semidirect
150. #14583009C22semidirect
151. #14583008C22semidirect
152. #14583008C22semidirect
153. #14583003C22semidirect
154. #14583002C22semidirect
155. #14582998C22semidirect
156. #14582998C22semidirect
157. #14582997C22semidirect
158. SD16×Dic43C22semidirect
159. #14582986C22semidirect
160. #14582986C22semidirect
161. #14582986C22semidirect
162. #14582984C22semidirect
165. #14582981C22semidirect
166. #14582981C22semidirect
167. #14582981C22semidirect
168. #14582981C22semidirect
169. #14582979C22semidirect
170. #14582975C22semidirect
171. #14582974C22semidirect
172. #14582971C22semidirect
173. #14582970C22semidirect
174. #14582967C22semidirect
175. #14582957C22semidirect
176. #14582957C22semidirect
177. #14582955C22semidirect
178. #14582940C22semidirect
179. #14582903C22semidirect
180. #14582903C22semidirect
181. #14582902C22semidirect
182. #14582899C22semidirect
183. #14582893C22semidirect
184. C2×#13063245C22semidirect
185. #14582857C22semidirect
186. #14582854C22semidirect
187. #14582851C22semidirect
188. C43×#556C22semidirect
190. C43×#501C22semidirect
191. C43×#485C22semidirect
192. C43×#483C22semidirect
193. C43×#482C22semidirect
194. C43×#482C22semidirect
195. C43×#479C22semidirect
196. C43×#476C22semidirect
197. C43×#468C22semidirect
198. C43×#465C22semidirect
199. C43×#440C22semidirect
200. C43×#435C22semidirect
201. C43×#428C22semidirect
202. C43×#427C22semidirect
686. D344#41semidirect
876. #3350D43semidirect
917. #556C2×D43semidirect
961. #501C2×D43semidirect
974. #485C2×D43semidirect
975. #483C2×D43semidirect
979. #482C2×D43semidirect
980. #482C2×D43semidirect
984. #479C2×D43semidirect
992. #476C2×D43semidirect
1003. #468C2×D43semidirect
1007. #465C2×D43semidirect
1049. #440C2×D43semidirect
1067. #435C2×D43semidirect
1072. #428C2×D43semidirect
1073. #427C2×D43semidirect
1083. C43#61505semidirect

Maximal subgroups

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

subgroupindex
#191485592
#191485422
#191476842
#191474912
#191473902
#191473512
#191471862
#191471062
#191468352
#191468092
#191467492
#191467302
#191466252
#191465542
#191462032
#191460802
#191460722
#191452712
#191452052
#191451922
#191448672
#191448342
#191447822
#191447742
#191447112
#191446882
#191435772
#191434462
#191434252
#191434002
C43×#33502
#6150543