Finite Group Databasebeta

← #25979709

Subgroups — #25979709

Order 11008.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148702C211yesmaximal, characteristic, complemented
2#19148617C211yesmaximal, characteristic, complemented
3#19147632C211yesmaximal, characteristic, complemented
4#19147533C211yesmaximal, characteristic, complemented
5#19147352C211yesmaximal, characteristic, complemented
6#19147323C211yesmaximal, characteristic, complemented
7#19147153C211yesmaximal, characteristic, complemented
8#19147102C211yesmaximal, characteristic, complemented
9#19147088C211yesmaximal, characteristic, complemented
10#19146855C211yesmaximal, characteristic, complemented
11#19146834C211yesmaximal, characteristic, complemented
12#19146779C211yesmaximal, characteristic, complemented
13#19146740C211yesmaximal, characteristic, complemented
14#19146620C211yesmaximal, characteristic, complemented
15#19146599C211yesmaximal, characteristic, complemented
16#19146213C211yesmaximal, characteristic, complemented
17#19146096C211yesmaximal, characteristic, complemented
18#19146088C211yesmaximal, characteristic, complemented
19#19145272C211yesmaximal, characteristic, complemented
20#19145243C211yesmaximal, characteristic, complemented
21#19145186C211yesmaximal, characteristic, complemented
22#19144883C211yesmaximal, characteristic, complemented
23#19144835C211yesmaximal, characteristic, complemented
24#19144796C211yesmaximal, characteristic, complemented
25#19144742C211yesmaximal, characteristic, complemented
26#19144737C211yesmaximal, characteristic, complemented
27#19143578C211yesmaximal, characteristic, complemented
28#19143451C211yesmaximal, characteristic, complemented
29#19143427C211yesmaximal, characteristic, complemented
30C4×#13063349C211yesmaximal, characteristic, complemented
31C43×#3118C211yesmaximal, characteristic, complemented
32C2×#13063351C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×SD16×D43C2211yescharacteristic
35#14583631—21no—
36#14583631C2211yescharacteristic, complemented
37#14583624C2211yescharacteristic, complemented
38#14583615C2211yescharacteristic, complemented
39#14583612C2211yescharacteristic
40#14583611—21no—
41#14583608C2211yescharacteristic
42#14583601C2211yescharacteristic, complemented
43#14583600—21no—
44#14583599C2211yescharacteristic
45#14583598—21no—
46#14583593C2211yescharacteristic
47#14583591C2211yescharacteristic, complemented
48#14583585—21no—
49#14583570C2211yescharacteristic
50#14583567C2211yescharacteristic, complemented
51#14583559C2211yescharacteristic, complemented
52#14583557C2211yescharacteristic, complemented
53#14583545—21no—
54#14583539—21no—
55#14583539—21no—
56D4×D172C2211yescharacteristic
57D4×C22⋊D43C2211yescharacteristic
58D4×C22⋊D43C2211yescharacteristic
59#14583519—21no—
60#14583504C2211yescharacteristic
61#14583501—21no—
62#14583500C2211yescharacteristic
63#14583500C2211yescharacteristic, complemented
64#14583487—21no—
65#14583482—21no—
66#14583446C2211yescharacteristic
67#14583436C2211yescharacteristic, complemented
68#14583435—21no—
69#14583427C2211yescharacteristic
70#14583426—21no—
71#14583408—21no—
72C2×#13063298—21no—
73#14583379C2211yescharacteristic, complemented
74#14583375C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic
76C4×#10621900C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic
78#14583306C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583299C2211yescharacteristic, complemented
81#14583289C2211yescharacteristic, complemented
82#14583285C2211yescharacteristic, complemented
83#14583274C2211yescharacteristic, complemented
84#14583262C2211yescharacteristic, complemented
85#14583262C2211yescharacteristic, complemented
86#14583262C2211yescharacteristic, complemented
87#14583260C2211yescharacteristic, complemented
88#14583253C2211yescharacteristic, complemented
89#14583247C2211yescharacteristic, complemented
90#14583228C2211yescharacteristic, complemented
91#14583226C2211yescharacteristic, complemented
92#14583225C2211yescharacteristic, complemented
93#14583225C2211yescharacteristic, complemented
94#14583222C2211yescharacteristic, complemented
95#14583221C2211yescharacteristic, complemented
96#14583221C2211yescharacteristic, complemented
97#14583218C2211yescharacteristic, complemented
98#14583214C2211yescharacteristic, complemented
99#14583213C2211yescharacteristic, complemented
100#14583209C2211yescharacteristic, complemented
101#14583207C2211yescharacteristic, complemented
102#14583204C2211yescharacteristic, complemented
103#14583202C2211yescharacteristic, complemented
104#14583202C2211yescharacteristic, complemented
105#14583201C2211yescharacteristic
106#14583200C2211yescharacteristic, complemented
107#14583197C2211yescharacteristic
108#14583183C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic, complemented
110#14583153C2211yescharacteristic, complemented
111#14583153C2211yescharacteristic, complemented
112#14583151C2211yescharacteristic, complemented
113#14583150C2211yescharacteristic, complemented
114#14583149C2211yescharacteristic, complemented
115#14583148C2211yescharacteristic, complemented
116#14583147C2211yescharacteristic, complemented
117#14583142C2211yescharacteristic, complemented
118#14583134C2211yescharacteristic, complemented
119#14583134C2211yescharacteristic, complemented
120#14583133C2211yescharacteristic, complemented
121#14583130C2211yescharacteristic, complemented
122#14583117C2211yescharacteristic, complemented
123#14583116C2211yescharacteristic
124#14583100C2211yescharacteristic, complemented
125#14583098C2211yescharacteristic, complemented
126#14583098C2211yescharacteristic, complemented
127#14583097C2211yescharacteristic, complemented
128#14583095C2211yescharacteristic, complemented
129#14583093C2211yescharacteristic, complemented
130#14583092C2211yescharacteristic
131#14583092C2211yescharacteristic, complemented
132#14583048C2211yescharacteristic
133#14583046C2211yescharacteristic, complemented
134#14583046C2211yescharacteristic, complemented
135#14583045C2211yescharacteristic, complemented
136#14583041C2211yescharacteristic, complemented
137#14583039C2211yescharacteristic, complemented
138#14583036C2211yescharacteristic, complemented
139#14583034C2211yescharacteristic
140#14583034C2211yescharacteristic
141#14583031C2211yescharacteristic
142#14583028C2211yescharacteristic, complemented
143#14583026C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic, complemented
145#14583011C2211yescharacteristic
146#14583009C2211yescharacteristic
147#14583009C2211yescharacteristic, complemented
148#14583009C2211yescharacteristic, complemented
149#14583008C2211yescharacteristic, complemented
150#14583001C2211yescharacteristic, complemented
151#14583000C2211yescharacteristic
152#14582999C2211yescharacteristic
153#14582999C2211yescharacteristic, complemented
154#14582998C2211yescharacteristic, complemented
155#14582998C2211yescharacteristic, complemented
156#14582997C2211yescharacteristic, complemented
157#14582996C2211yescharacteristic
158#14582990C2211yescharacteristic
159C4×#10621873C2211yescharacteristic, complemented
160C4×#10621884C2211yescharacteristic, complemented
161C4×#10621883C2211yescharacteristic
162C4×#10621883C2211yescharacteristic, complemented
163#14582984C2211yescharacteristic, complemented
164C4×D344C2211yescharacteristic, complemented
165C4×#10621882C2211yescharacteristic
166C4×#10621882C2211yescharacteristic, complemented
167C4×#10621882C2211yescharacteristic, complemented
168#14582976C2211yescharacteristic, complemented
169#14582974C2211yescharacteristic, complemented
170#14582973C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic, complemented
172#14582967C2211yescharacteristic, complemented
173#14582967C2211yescharacteristic, complemented
174#14582958C2211yescharacteristic, complemented
175#14582954C2211yescharacteristic, complemented
176#14582942C2211yescharacteristic, complemented
177#14582940C2211yescharacteristic, complemented
178#14582936C2211yescharacteristic, complemented
179#14582906C2211yescharacteristic, complemented
180#14582902C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582897C2211yescharacteristic, complemented
183#14582893C2211yescharacteristic, complemented
184C2×#13063246C2211yescharacteristic
185#14582856C2211yescharacteristic, complemented
186#14582855C2211yescharacteristic, complemented
187C4×#10621872C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic, complemented
189C43×#518C2211yescharacteristic
190C43×#485C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#476C2211yescharacteristic
193C43×#474C2211yescharacteristic, complemented
194C43×#463C2211yescharacteristic
195C43×#463C2211yescharacteristic, complemented
196C43×#450C2211yescharacteristic
197C43×#447C2211yescharacteristic
198C43×#442C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic
202C43×#433C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621900C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C22×D172—21no—
209C22×C22⋊D43—21no—
210C22×C22⋊D43—21no—
211C2×D4×D43C2311yescharacteristic
212C2×D4×D43C2311yescharacteristic
213C22×C4×D43—21no—
214#13063351—24no—
215#13063349—24no—
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222SD16×D43—24no—
223C2×D344C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621877C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C22×C43⋊C8C2311yescharacteristic
234C2×C8×D43C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063323—21no—
237#13063322C2311yescharacteristic
238#13063321—21no—
239#13063321C2311yescharacteristic
240#13063321C2311yescharacteristic
241#13063321C2311yescharacteristic
242#13063320—21no—
243#13063320—21no—
244#13063320D411yescharacteristic
245#13063319—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318D411yescharacteristic
249#13063317C2311yescharacteristic
250#13063316—21no—
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063316C2311yescharacteristic
254#13063315—21no—
255#13063315—21no—
256#13063315D411yescharacteristic
257#13063314—21no—
258#13063314—21no—
259#13063314C2311yescharacteristic
260#13063313—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063311D411yescharacteristic
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310D411yescharacteristic
271#13063309—21no—
272#13063309—21no—
273#13063309—21no—
274#13063308—21no—
275#13063308—21no—
276#13063308—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307D411yescharacteristic
282#13063304—21no—
283#13063303—21no—
284#13063303D411yescharacteristic
285#13063302—21no—
286#13063302—21no—
287#13063302—21no—
288#13063301C2311yescharacteristic
289#13063300—21no—
290#13063300C2311yescharacteristic
291#13063300C2311yescharacteristic
292#13063300C2311yescharacteristic
293#13063300C2311yescharacteristic
294#13063299—21no—
295#13063299—21no—
296#13063299—21no—
297#13063299—21no—
298#13063299C2311yescharacteristic
299#13063299C2311yescharacteristic
300#13063298—21no—
301#13063298—21no—
302#13063298—21no—
303#13063298—21no—
304#13063298—21no—
305#13063298—21no—
306#13063298—21no—
307#13063298—21no—
308#13063298—21no—
309#13063298—21no—
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063298D411yescharacteristic
314#13063297—21no—
315#13063297—21no—
316#13063297—21no—
317#13063297—21no—
318#13063296C2311yescharacteristic
319#13063296C2311yescharacteristic
320#13063296C2311yescharacteristic
321#13063295—21no—
322#13063295—21no—
323#13063294—21no—
324#13063294—21no—
325#13063293—21no—
326#13063293—21no—
327Q8×Dic43—21no—
328Q8×Dic43C2311yescharacteristic
329C4×Dic86—21no—
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333#13063290—21no—
334#13063290C2311yescharacteristic
335#13063290C2311yescharacteristic
336C4×D172—21no—
337C4×D172—21no—
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341C4×D172C2311yescharacteristic
342C4×D172C2311yescharacteristic
343D4×Dic43—21no—
344D4×Dic43C2311yescharacteristic
345D4×Dic43C2311yescharacteristic
346D4×Dic43C2311yescharacteristic
347#13063287—21no—
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43C2311yescharacteristic
356C4×C22⋊D43C2311yescharacteristic
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365#13063283—21no—
366#13063283—21no—
367#13063283—21no—
368#13063283C2311yescharacteristic
369#13063283C2311yescharacteristic
370#13063283C2311yescharacteristic
371#13063282—21no—
372#13063282—21no—
373#13063282—21no—
374#13063282C2311yescharacteristic
375#13063281—21no—
376#13063281—21no—
377C2×C4⋊Dic43C2311yescharacteristic
378C2×Dic43⋊C4—21no—
379C4⋊C4×D43—21no—
380C4⋊C4×D43C2311yescharacteristic
381C2×(C2×D43)⋊C4—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C2×C4×Dic43—21no—
385C42×D43C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C22×D4×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C4⋊Q8×C43C2311yescharacteristic
444#126×C43—21no—
445#124×C43—21no—
446#124×C43C2311yescharacteristic
447#123×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×D4×C43—21no—
453C4×D4×C43—21no—
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461C2×C22⋊C4×C43—21no—
462C2×C22⋊C4×C43—21no—
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C24×C43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C2×Q8×C43—21no—
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—22no—
489C2×D4×C43—41no—
490C2×D4×C43C2411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43C2411yescharacteristic
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—82no—
515C2×C22⋊D43—82no—
516C2×C22⋊D43C2×D411yescharacteristic
517C2×C22⋊D43C2×D411yescharacteristic
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43—21no—
523Q8×D43—22no—
524Q8×D43—41no—
525#10621900—22no—
526#10621900—41no—
527D4×D43—22no—
528D4×D43—22no—
529D4×D43—41no—
530D4×D43—41no—
531#10621898—22no—
532#10621898—41no—
533#10621898—82no—
534#10621898—82no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—21no—
540C2×D172—21no—
541C2×D172—82no—
542C2×D172C2×D411yescharacteristic
543C2×D172C2411yescharacteristic
544C2×D172C2411yescharacteristic
545C2×D172C2411yescharacteristic
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—21no—
554C2×C4×D43—21no—
555C2×C4×D43—82no—
556C2×C4×D43C2×D411yescharacteristic
557C2×C4×D43C2×D411yescharacteristic
558C2×C4×D43C2411yescharacteristic
559C2×C4×D43C2411yescharacteristic
560C2×Dic86—21no—
561C2×Dic86—21no—
562C2×Dic86C2×D411yescharacteristic
563C2×Dic86C2411yescharacteristic
564SD16×C43—22no—
565SD16×C43—41no—
566D8×C43—22no—
567D8×C43—41no—
568C2×C8×C43C2411yescharacteristic
569C2×C8×C43C2411yescharacteristic
570C2×C8×C43C2411yescharacteristic
571C2×C8×C43C2411yescharacteristic
572C4⋊C4×C43—21no—
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43C2×D411yescharacteristic
576C4⋊C4×C43C2×D411yescharacteristic
577C4⋊C4×C43C2411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C4⋊C4×C43C2411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
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×C43C2411yescharacteristic
596C42×C43C2411yescharacteristic
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43C2×D411yescharacteristic
604C22⋊Dic43C2×D411yescharacteristic
605#10621884—22no—
606#10621884—41no—
607#10621883—22no—
608#10621883#4114yescomplemented
609#10621882—22no—
610#10621882—22no—
611#10621882—22no—
612#10621882—41no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4C2×D411yescharacteristic
632(C2×D43)⋊C4C2×D411yescharacteristic
633(C2×D43)⋊C4C2×D411yescharacteristic
634(C2×D43)⋊C4C2×D411yescharacteristic
635(C2×D43)⋊C4C2×D411yescharacteristic
636(C2×D43)⋊C4C2×D411yescharacteristic
637C4⋊Dic43—21no—
638C4⋊Dic43—21no—
639C4⋊Dic43—21no—
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43C2×D411yescharacteristic
643C4⋊Dic43C2×D411yescharacteristic
644C4⋊Dic43C2411yescharacteristic
645C4⋊Dic43C2411yescharacteristic
646C4⋊Dic43C2411yescharacteristic
647C4⋊Dic43C2411yescharacteristic
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2×D411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678#10621877—22no—
679C2×C43⋊C8—41no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684D344—41no—
685D344—41no—
686#10621873—22no—
687#10621873—22no—
688#10621872—22no—
689#10621872—41no—
690#10621872—41no—
691C8×D43—22no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43—42no—
696C23×C43—81no—
697C23×C43—81no—
698C23×C43C22×D411yescharacteristic
699C22×D43—21no—
700C22×D43—21no—
701C22×D43—21no—
702C22×D43—42no—
703C22×D43—42no—
704C22×D43—42no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43—81no—
708C22×D43C22×D411yescharacteristic
709C22×D43C22×D411yescharacteristic
710Q8×C43—21no—
711Q8×C43—21no—
712Q8×C43—81no—
713D4×C43—21no—
714D4×C43—21no—
715D4×C43—21no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—42no—
719D4×C43—81no—
720D4×C43C2×#4112yes—
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—81no—
729C2×C4×C43—81no—
730C2×C4×C43—81no—
731C2×C4×C43—81no—
732C2×C4×C43—81no—
733C2×C4×C43C22×D411yescharacteristic
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—42no—
744C22⋊D43—42no—
745C22⋊D43—42no—
746C22⋊D43—42no—
747C22⋊D43—81no—
748C22⋊D43—81no—
749C22⋊D43—81no—
750C22⋊D43—81no—
751C22⋊D43—81no—
752C22⋊D43—81no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—42no—
762C2×Dic43—42no—
763C2×Dic43—81no—
764C2×Dic43—81no—
765C2×Dic43—81no—
766C2×Dic43C22×D411yescharacteristic
767C2×Dic43C22×D411yescharacteristic
768C2×Dic43C22×D411yescharacteristic
769C2×Dic43C22×D411yescharacteristic
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772D172—21no—
773D172—21no—
774D172—21no—
775D172—21no—
776D172—21no—
777D172—21no—
778D172—41no—
779D172—42no—
780D172—81no—
781D172—81no—
782D172—81no—
783D172—81no—
784D172—81no—
785C4×D43—21no—
786C4×D43—21no—
787C4×D43—21no—
788C4×D43—21no—
789C4×D43—41no—
790C4×D43—41no—
791C4×D43—42no—
792C4×D43—42no—
793C4×D43—42no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800Dic86—21no—
801Dic86—41no—
802Dic86—42no—
803Dic86—81no—
804Dic86C2×#4112yes—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43—21no—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8C2×#4112yes—
813#61504—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—22no—
817C22×C43—21no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—162no—
827C22×C43C23×D411yescharacteristic
828C2×D43—21no—
829C2×D43—21no—
830C2×D43—21no—
831C2×D43—21no—
832C2×D43—21no—
833C2×D43—21no—
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—41no—
843C2×D43—84no—
844C2×D43—162no—
845C4×C43—21no—
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×C43C22×#4111yescharacteristic
856C4×C43#58511yescharacteristic
857Dic43—21no—
858Dic43—21no—
859Dic43—21no—
860Dic43—21no—
861Dic43—22no—
862Dic43—21no—
863Dic43—21no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868#3524—431no—
869#3519—431no—
870#3399—431no—
871#3388—431no—
872#3370—431no—
873#3368—431no—
874#3351—431no—
875#3347—431no—
876#3347—431no—
877#3326—431no—
878#3325—431no—
879#3321—431no—
880#3318—431no—
881#3310—431no—
882#3309—431no—
883#3274—431no—
884#3265—431no—
885#3265—431no—
886#3179—431no—
887#3176—431no—
888#3171—431no—
889#3126—431no—
890#3122—431no—
891#3119—431no—
892#3118D4311yescharacteristic, complemented
893#3115—431no—
894#3114—431no—
895#2967—431no—
896#2949—431no—
897#2946—431no—
898C4×AGL(1,ℤ/8)—431no—
899C2×C43—42no—
900C2×C43—41no—
901C2×C43—81no—
902C2×C43—81no—
903C2×C43D4×#4111yescharacteristic
904C2×C43#358511yescharacteristic
905C2×C43#358511yescharacteristic
906D43—41no—
907D43—41no—
908D43—81no—
909D43—81no—
910D43—81no—
911C2×AGL(1,ℤ/8)—431no—
912C2×AGL(1,ℤ/8)—431no—
913C22×SD16—431no—
914#559—431no—
915#559—861no—
916#557—431no—
917#555—431no—
918#555—431no—
919#555—861no—
920#554—431no—
921#553—431no—
922#553—431no—
923#553—431no—
924#553—861no—
925#553—861no—
926#552—431no—
927#552—861no—
928#550—431no—
929#550—431no—
930#548—431no—
931#548—431no—
932#546—861no—
933#546—861no—
934#546—861no—
935D42—431no—
936D42—431no—
937D42—431no—
938#542—861no—
939#542C2×D4311yescharacteristic, complemented
940#540—431no—
941#540—431no—
942#540—431no—
943#540—861no—
944#538—861no—
945#538—861no—
946#532—431no—
947#529—431no—
948#529—431no—
949#529—861no—
950#529—861no—
951#525—861no—
952C2×#121—861no—
953#520—431no—
954#519—431no—
955#518—431no—
956#518C2×D4311yescharacteristic
957C4×#41—431no—
958C2×C4×D4—431no—
959#501—431no—
960#501—431no—
961#499—431no—
962#496—431no—
963#496—431no—
964#493—431no—
965#490—431no—
966#490—431no—
967#490—431no—
968#489—431no—
969#488—431no—
970#486—431no—
971#485C2×D4311yescharacteristic, complemented
972#483—431no—
973#482—431no—
974#482—431no—
975#482—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482C2×D4311yescharacteristic, complemented
980#481—431no—
981#480—431no—
982#480—431no—
983#479—431no—
984#479—431no—
985#479—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#478—431no—
991#476C2×D4311yescharacteristic
992#475—431no—
993#474—431no—
994#474C2×D4311yescharacteristic, complemented
995#469—431no—
996#469—431no—
997#469—431no—
998#469—431no—
999#469—431no—
1000#468—431no—
1001#468—431no—
1002#468—431no—
1003#466—431no—
1004#466—431no—
1005#466—431no—
1006#465—431no—
1007#463—431no—
1008#463—431no—
1009#463C2×D4311yescharacteristic
1010#463C2×D4311yescharacteristic, complemented
1011#460—431no—
1012#460—431no—
1013#460—431no—
1014#460—431no—
1015#459—431no—
1016#459—431no—
1017#459—431no—
1018#459—431no—
1019#450—431no—
1020#450C2×D4311yescharacteristic
1021#449—431no—
1022#449—431no—
1023#449—431no—
1024#449—431no—
1025#448—431no—
1026#448—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#447C2×D4311yescharacteristic
1031#446—431no—
1032#446—431no—
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442C2×D4311yescharacteristic, complemented
1040#440—431no—
1041#440—431no—
1042#440—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440C2×D4311yescharacteristic
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16C2×D4311yescharacteristic, complemented
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8C2×D4311yescharacteristic
1061#436—431no—
1062#436—431no—
1063#435—431no—
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#433—431no—
1068#433C2×D4311yescharacteristic, complemented
1069#432—431no—
1070#428—431no—
1071#428—431no—
1072#427—431no—
1073#419—431no—
1074#418—431no—
1075#418—431no—
1076#417—431no—
1077#416—431no—
1078C2×#102—431no—
1079#405—431no—
1080#405—431no—
1081C4×M16—431no—
1082C43#6150411yescharacteristic, complemented, Sylow
1083C2×#41—431no—
1084C2×#41—431no—
1085C2×#41—861no—
1086C2×#41—861no—
1087C22×Q8—431no—
1088C22×D4—431no—
1089C22×D4—431no—
1090C22×D4—861no—
1091C22×D4—861no—
1092C22×D4—861no—
1093C22×D4C22×D4311yescharacteristic
1094C23×C4—861no—
1095AGL(1,ℤ/8)—864no—
1096AGL(1,ℤ/8)—864no—
1097C2×SD16—431no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—864no—
1104C2×SD16C22×D4311yescharacteristic
1105C2×SD16C22×D4311yescharacteristic
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8C22×D4311yescharacteristic
1113C2×D8C22×D4311yescharacteristic
1114C2×M16—431no—
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16—431no—
1118C22×C8—431no—
1119C22×C8—431no—
1120C4⋊Q8—431no—
1121C4⋊Q8—861no—
1122C4⋊Q8C22×D4311yescharacteristic
1123#127—431no—
1124#127—431no—
1125#127—431no—
1126#127—431no—
1127#127—861no—
1128#126—21no—
1129#126—431no—
1130#126—431no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#125—431no—
1137#125—431no—
1138#125—431no—
1139#125—431no—
1140#125—431no—
1141#125—861no—
1142#125—861no—
1143#125—861no—
1144#124—21no—
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#124C22×D4311yescharacteristic
1156#123—21no—
1157#123—431no—
1158#123—431no—
1159#123—861no—
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—
1172C22⋊Q8—21no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8C22×D4311yescharacteristic
1181#121—431no—
1182#121—431no—
1183#121—431no—
1184#121—431no—
1185#121—431no—
1186#121—431no—
1187#121—431no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—861no—
1192#121—861no—
1193#121—861no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121—861no—
1213#121C22×D4311yescharacteristic
1214#120—861no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—431no—
1226C4×Q8—861no—
1227C4×Q8—861no—
1228C4×Q8—861no—
1229C4×Q8C22×D4311yescharacteristic
1230C4×D4—21no—
1231C4×D4—21no—
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—861no—
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
1263C4×D4C22×D4311yescharacteristic
1264C4×D4C22×D4311yescharacteristic
1265C4×D4C22×D4311yescharacteristic
1266#117—431no—
1267#117—431no—
1268#117—431no—
1269#117—431no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117—861no—
1275#117—861no—
1276#117—861no—
1277#117—861no—
1278#117C22×D4311yescharacteristic
1279#117C22×D4311yescharacteristic
1280C2×C4⋊C4—431no—
1281C2×C4⋊C4—431no—
1282C2×C4⋊C4—861no—
1283C2×C4⋊C4—861no—
1284C2×C22⋊C4—21no—
1285C2×C22⋊C4—21no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C42—431no—
1290C2×C42—861no—
1291#107—431no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#107—431no—
1297#107C22×D4311yescharacteristic
1298#107C22×D4311yescharacteristic
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106C22×D4311yescharacteristic
1306#106C22×D4311yescharacteristic
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8C22×D4311yescharacteristic
1312C4⋊C8C22×D4311yescharacteristic
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103C22×D4311yescharacteristic
1320#103C22×D4311yescharacteristic
1321#102—431no—
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#102C22×D4311yescharacteristic
1340#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344#102C22×D4311yescharacteristic
1345C22⋊C8—431no—
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8C22×D4311yescharacteristic
1350C22⋊C8C22×D4311yescharacteristic
1351#97—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97—431no—
1356#97C22×D4311yescharacteristic
1357C4×C8—431no—
1358C4×C8—431no—
1359C4×C8—431no—
1360C4×C8C22×D4311yescharacteristic
1361C24—21no—
1362C24—861no—
1363C24—861no—
1364#41—862no—
1365#41—862no—
1366#41—3442no—
1367#41—3442no—
1368#41—1721no—
1369#41—1721no—
1370C2×Q8—21no—
1371C2×Q8—431no—
1372C2×Q8—431no—
1373C2×Q8—861no—
1374C2×Q8—861no—
1375C2×Q8—862no—
1376C2×Q8—1721no—
1377C2×Q8C23×D4311yescharacteristic
1378C2×D4—22no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—41no—
1382C2×D4—431no—
1383C2×D4—431no—
1384C2×D4—431no—
1385C2×D4—431no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—861no—
1389C2×D4—861no—
1390C2×D4—861no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—862no—
1401C2×D4—862no—
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—3442no—
1412C2×D4—3442no—
1413C2×D4—3442no—
1414C2×D4—1721no—
1415C2×D4—1721no—
1416C2×D4C23×D4311yescharacteristic
1417C2×D4C23×D4311yescharacteristic
1418C2×D4C23×D4311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—431no—
1425C22×C4—431no—
1426C22×C4—431no—
1427C22×C4—431no—
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—861no—
1441C22×C4—861no—
1442C22×C4—3442no—
1443C22×C4C23×D4311yescharacteristic
1444SD16—22no—
1445SD16—41no—
1446SD16—434no—
1447SD16—862no—
1448SD16—862no—
1449SD16—862no—
1450SD16—862no—
1451SD16—1721no—
1452D8—22no—
1453D8—41no—
1454D8—862no—
1455D8—862no—
1456D8—862no—
1457D8—1721no—
1458D8—1721no—
1459D8—1721no—
1460M16—862no—
1461M16—862no—
1462M16—1721no—
1463M16—1721no—
1464C2×C8—431no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—862no—
1469C2×C8—1721no—
1470C2×C8C23×D4311yescharacteristic
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C2×C8C23×D4311yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—431no—
1478C4⋊C4—431no—
1479C4⋊C4—431no—
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—861no—
1490C4⋊C4—861no—
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⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4D4×D4311yescharacteristic
1507C4⋊C4D4×D4311yescharacteristic
1508C4⋊C4C23×D4311yescharacteristic
1509C4⋊C4C23×D4311yescharacteristic
1510C4⋊C4C23×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—431no—
1528C22⋊C4—431no—
1529C22⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1555C22⋊C4D4×D4311yescharacteristic
1556C42—21no—
1557C42—21no—
1558C42—431no—
1559C42—431no—
1560C42—431no—
1561C42—431no—
1562C42—861no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42C23×D4311yescharacteristic
1571C42C23×D4311yescharacteristic
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—42no—
1576C23—81no—
1577C23—81no—
1578C23—431no—
1579C23—431no—
1580C23—861no—
1581C23—861no—
1582C23—861no—
1583C23—3441no—
1584C23—3441no—
1585C23—3441no—
1586C23—1722no—
1587C23—1722no—
1588C23—1722no—
1589C23C2×D4×D4311yescharacteristic
1590Q8—21no—
1591Q8—21no—
1592Q8—81no—
1593Q8—432no—
1594Q8—861no—
1595Q8—3441no—
1596Q8—1721no—
1597Q8—1722no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—42no—
1604D4—81no—
1605D4—861no—
1606D4—861no—
1607D4—861no—
1608D4—861no—
1609D4—861no—
1610D4—861no—
1611D4—3441no—
1612D4—3441no—
1613D4—3441no—
1614D4—3441no—
1615D4—3441no—
1616D4—3441no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—1721no—
1626D4—1722no—
1627D4—1721no—
1628D4—1721no—
1629D4—1722no—
1630D4—1722no—
1631D4—1722no—
1632D4—1722no—
1633D4—1722no—
1634D4—1722no—
1635D4#41×D4312yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—431no—
1649C2×C4—431no—
1650C2×C4—431no—
1651C2×C4—431no—
1652C2×C4—431no—
1653C2×C4—431no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—861no—
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—1721no—
1673C2×C4—1721no—
1674C2×C4—1722no—
1675C2×C4—1722no—
1676C2×C4—1722no—
1677C2×C4—1722no—
1678C2×C4—1722no—
1679C2×C4C2×D4×D4311yescharacteristic
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C2×D4×D4311yescharacteristic
1684C2×C4C24×D4311yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—432no—
1690C8—861no—
1691C8—861no—
1692C8—861no—
1693C22—21no—
1694C22—22no—
1695C22—21no—
1696C22—21no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—162no—
1706C22—861no—
1707C22—861no—
1708C22—861no—
1709C22—861no—
1710C22—861no—
1711C22—861no—
1712C22—3444no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—6882no—
1723C22C22×D4×D4311yescharacteristic
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—861no—
1735C4—861no—
1736C4—862no—
1737C4—861no—
1738C4—861no—
1739C4—861no—
1740C4—861no—
1741C4—1721no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4C2×#41×D4311yescharacteristic
1746C4#1458373511yescharacteristic
1747C2—41no—
1748C2—42no—
1749C2—81no—
1750C2—81no—
1751C2—3441no—
1752C2—3441no—
1753C2—3441no—
1754C2—1721no—
1755C2—1721no—
1756C2#1914807811yescharacteristic
1757C2#1914937011yescharacteristic
1758C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3118C2
socleC22×C43C23×D4
hypercenter#3118D43
hypocenterC43#61504
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #19148702C2semidirect
2. #19148617C2semidirect
3. #19147632C2semidirect
4. #19147533C2semidirect
5. #19147352C2semidirect
6. #19147323C2semidirect
7. #19147153C2semidirect
8. #19147102C2semidirect
9. #19147088C2semidirect
10. #19146855C2semidirect
11. #19146834C2semidirect
12. #19146779C2semidirect
13. #19146740C2semidirect
14. #19146620C2semidirect
15. #19146599C2semidirect
16. #19146213C2semidirect
17. #19146096C2semidirect
18. #19146088C2semidirect
19. #19145272C2semidirect
20. #19145243C2semidirect
21. #19145186C2semidirect
22. #19144883C2semidirect
23. #19144835C2semidirect
24. #19144796C2semidirect
25. #19144742C2semidirect
26. #19144737C2semidirect
27. #19143578C2semidirect
28. #19143451C2semidirect
29. #19143427C2semidirect
30. C4×#13063349C2semidirect
31. C43×#3118C2semidirect
36. #14583631C22semidirect
37. #14583624C22semidirect
38. #14583615C22semidirect
42. #14583601C22semidirect
47. #14583591C22semidirect
50. #14583567C22semidirect
51. #14583559C22semidirect
52. #14583557C22semidirect
63. #14583500C22semidirect
67. #14583436C22semidirect
73. #14583379C22semidirect
74. #14583375C22semidirect
76. C4×#10621900C22semidirect
78. #14583306C22semidirect
79. #14583305C22semidirect
80. #14583299C22semidirect
81. #14583289C22semidirect
82. #14583285C22semidirect
83. #14583274C22semidirect
84. #14583262C22semidirect
85. #14583262C22semidirect
86. #14583262C22semidirect
87. #14583260C22semidirect
88. #14583253C22semidirect
89. #14583247C22semidirect
90. #14583228C22semidirect
91. #14583226C22semidirect
92. #14583225C22semidirect
93. #14583225C22semidirect
94. #14583222C22semidirect
95. #14583221C22semidirect
96. #14583221C22semidirect
97. #14583218C22semidirect
98. #14583214C22semidirect
99. #14583213C22semidirect
100. #14583209C22semidirect
101. #14583207C22semidirect
102. #14583204C22semidirect
103. #14583202C22semidirect
104. #14583202C22semidirect
106. #14583200C22semidirect
108. #14583183C22semidirect
109. #14583177C22semidirect
110. #14583153C22semidirect
111. #14583153C22semidirect
112. #14583151C22semidirect
113. #14583150C22semidirect
114. #14583149C22semidirect
115. #14583148C22semidirect
116. #14583147C22semidirect
117. #14583142C22semidirect
118. #14583134C22semidirect
119. #14583134C22semidirect
120. #14583133C22semidirect
121. #14583130C22semidirect
122. #14583117C22semidirect
124. #14583100C22semidirect
125. #14583098C22semidirect
126. #14583098C22semidirect
127. #14583097C22semidirect
128. #14583095C22semidirect
129. #14583093C22semidirect
131. #14583092C22semidirect
133. #14583046C22semidirect
134. #14583046C22semidirect
135. #14583045C22semidirect
136. #14583041C22semidirect
137. #14583039C22semidirect
138. #14583036C22semidirect
142. #14583028C22semidirect
143. #14583026C22semidirect
144. #14583012C22semidirect
147. #14583009C22semidirect
148. #14583009C22semidirect
149. #14583008C22semidirect
150. #14583001C22semidirect
153. #14582999C22semidirect
154. #14582998C22semidirect
155. #14582998C22semidirect
156. #14582997C22semidirect
159. C4×#10621873C22semidirect
160. C4×#10621884C22semidirect
162. C4×#10621883C22semidirect
163. #14582984C22semidirect
164. C4×D344C22semidirect
166. C4×#10621882C22semidirect
167. C4×#10621882C22semidirect
168. #14582976C22semidirect
169. #14582974C22semidirect
170. #14582973C22semidirect
171. #14582969C22semidirect
172. #14582967C22semidirect
173. #14582967C22semidirect
174. #14582958C22semidirect
175. #14582954C22semidirect
176. #14582942C22semidirect
177. #14582940C22semidirect
178. #14582936C22semidirect
179. #14582906C22semidirect
182. #14582897C22semidirect
183. #14582893C22semidirect
185. #14582856C22semidirect
186. #14582855C22semidirect
187. C4×#10621872C22semidirect
188. C43×#542C22semidirect
190. C43×#485C22semidirect
191. C43×#482C22semidirect
193. C43×#474C22semidirect
195. C43×#463C22semidirect
198. C43×#442C22semidirect
200. C4×SD16×C43C22semidirect
202. C43×#433C22semidirect
608. #10621883#41semidirect
892. #3118D43semidirect
939. #542C2×D43semidirect
971. #485C2×D43semidirect
979. #482C2×D43semidirect
994. #474C2×D43semidirect
1010. #463C2×D43semidirect
1039. #442C2×D43semidirect
1055. C4×SD16C2×D43semidirect
1068. #433C2×D43semidirect
1082. C43#61504semidirect

Maximal subgroups

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

subgroupindex
#191487022
#191486172
#191476322
#191475332
#191473522
#191473232
#191471532
#191471022
#191470882
#191468552
#191468342
#191467792
#191467402
#191466202
#191465992
#191462132
#191460962
#191460882
#191452722
#191452432
#191451862
#191448832
#191448352
#191447962
#191447422
#191447372
#191435782
#191434512
#191434272
C4×#130633492
C43×#31182
#6150443