Finite Group Databasebeta

← #25979814

Subgroups — #25979814

Order 11008.

1886 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148595C211yesmaximal, characteristic, complemented
2#19148533C211yesmaximal, characteristic, complemented
3#19147641C211yesmaximal, characteristic, complemented
4#19147538C211yesmaximal, characteristic, complemented
5#19147356C211yesmaximal, characteristic, complemented
6#19147305C211yesmaximal, characteristic, complemented
7#19147162C211yesmaximal, characteristic, complemented
8#19147069C211yesmaximal, characteristic, complemented
9#19147063C211yesmaximal, characteristic, complemented
10#19146915C211yesmaximal, characteristic, complemented
11#19146799C211yesmaximal, characteristic, complemented
12#19146743C211yesmaximal, characteristic, complemented
13#19146718C211yesmaximal, characteristic, complemented
14#19146594C211yesmaximal, characteristic, complemented
15#19146559C211yesmaximal, characteristic, complemented
16#19146210C211yesmaximal, characteristic, complemented
17#19146128C211yesmaximal, characteristic, complemented
18#19146128C211yesmaximal, characteristic, complemented
19#19145284C211yesmaximal, characteristic, complemented
20#19145239C211yesmaximal, characteristic, complemented
21#19145188C211yesmaximal, characteristic, complemented
22#19144878C211yesmaximal, characteristic, complemented
23#19144835C211yesmaximal, characteristic, complemented
24#19144796C211yesmaximal, characteristic, complemented
25#19144702C211yesmaximal, characteristic, complemented
26#19144684C211yesmaximal, characteristic, complemented
27#19143578C211yesmaximal, characteristic, complemented
28#19143476C211yesmaximal, characteristic, complemented
29#19143426C211yesmaximal, characteristic, complemented
30C4×#13063352C211yesmaximal, characteristic, complemented
31C43×#3119C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C2×#13063345C2211yescharacteristic
35#14583635C2211yescharacteristic
36#14583625C2211yescharacteristic, complemented
37#14583605C2211yescharacteristic
38#14583601C2211yescharacteristic
39#14583599—21no—
40#14583599C2211yescharacteristic
41#14583597—21no—
42#14583597C2211yescharacteristic, complemented
43#14583596—21no—
44#14583587C2211yescharacteristic
45#14583577—21no—
46#14583572—21no—
47#14583571C2211yescharacteristic
48#14583570—21no—
49#14583570C2211yescharacteristic, complemented
50#14583568C2211yescharacteristic, complemented
51#14583568C2211yescharacteristic, complemented
52#14583550—21no—
53#14583550C2211yescharacteristic, complemented
54#14583549C2211yescharacteristic
55#14583546C2211yescharacteristic
56#14583546C2211yescharacteristic
57#14583538—21no—
58#14583534C2211yescharacteristic
59#14583514C2211yescharacteristic
60#14583504—21no—
61#14583504C2211yescharacteristic, complemented
62#14583500—21no—
63#14583500C2211yescharacteristic, complemented
64#14583492—21no—
65#14583481—21no—
66#14583446—21no—
67#14583446C2211yescharacteristic, complemented
68#14583431C2211yescharacteristic
69#14583427—21no—
70#14583427C2211yescharacteristic
71#14583409—21no—
72#123×D43—21no—
73#14583381C2211yescharacteristic, complemented
74#14583379C2211yescharacteristic
75#14583371C2211yescharacteristic
76C4×#10621902C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583298C2211yescharacteristic, complemented
81#14583287C2211yescharacteristic, complemented
82#14583287C2211yescharacteristic, complemented
83#14583275C2211yescharacteristic
84#14583265C2211yescharacteristic, complemented
85#14583263C2211yescharacteristic
86#14583262C2211yescharacteristic, complemented
87#14583257C2211yescharacteristic, complemented
88#14583252C2211yescharacteristic, complemented
89#14583244C2211yescharacteristic, complemented
90#14583242C2211yescharacteristic, complemented
91#14583231C2211yescharacteristic, complemented
92#14583226C2211yescharacteristic, complemented
93#14583221C2211yescharacteristic
94#14583221C2211yescharacteristic, complemented
95#14583219C2211yescharacteristic, complemented
96#14583218C2211yescharacteristic, complemented
97#14583216C2211yescharacteristic
98#14583216C2211yescharacteristic, complemented
99#14583213C2211yescharacteristic, complemented
100#14583208C2211yescharacteristic, complemented
101#14583207C2211yescharacteristic, complemented
102#14583202C2211yescharacteristic
103#14583202C2211yescharacteristic, complemented
104#14583200C2211yescharacteristic
105#14583197C2211yescharacteristic, complemented
106#14583188C2211yescharacteristic
107#14583188C2211yescharacteristic, complemented
108#14583187C2211yescharacteristic, complemented
109#14583182C2211yescharacteristic, complemented
110#14583151C2211yescharacteristic
111#14583151C2211yescharacteristic
112#14583150C2211yescharacteristic, complemented
113#14583150C2211yescharacteristic, complemented
114#14583149C2211yescharacteristic
115#14583146C2211yescharacteristic, complemented
116#14583144C2211yescharacteristic, complemented
117#14583144C2211yescharacteristic, complemented
118#14583133C2211yescharacteristic, complemented
119#14583133C2211yescharacteristic, complemented
120#14583132C2211yescharacteristic
121#14583129C2211yescharacteristic, complemented
122#14583119C2211yescharacteristic, complemented
123#14583119C2211yescharacteristic, complemented
124#14583113C2211yescharacteristic, complemented
125#14583113C2211yescharacteristic, complemented
126#14583100C2211yescharacteristic, complemented
127#14583095C2211yescharacteristic
128#14583093C2211yescharacteristic
129#14583093C2211yescharacteristic
130#14583092C2211yescharacteristic, complemented
131#14583092C2211yescharacteristic, complemented
132#14583064C2211yescharacteristic, complemented
133#14583064C2211yescharacteristic, complemented
134#14583046C2211yescharacteristic
135#14583046C2211yescharacteristic
136#14583043C2211yescharacteristic
137#14583043C2211yescharacteristic
138#14583034C2211yescharacteristic
139#14583034C2211yescharacteristic
140#14583031C2211yescharacteristic
141#14583031C2211yescharacteristic
142#14583028C2211yescharacteristic, complemented
143#14583026C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic
145#14583010C2211yescharacteristic
146#14583009C2211yescharacteristic
147#14583009C2211yescharacteristic
148#14583009C2211yescharacteristic, complemented
149#14583009C2211yescharacteristic, complemented
150#14583008C2211yescharacteristic, complemented
151#14583008C2211yescharacteristic, complemented
152#14583004C2211yescharacteristic, complemented
153#14583004C2211yescharacteristic, complemented
154#14583002C2211yescharacteristic
155#14583002C2211yescharacteristic
156#14583001C2211yescharacteristic, complemented
157#14583000C2211yescharacteristic, complemented
158C4×#10621873C2211yescharacteristic, complemented
159SD16×Dic43C2211yescharacteristic, complemented
160C4×#10621884C2211yescharacteristic
161C4×#10621884C2211yescharacteristic
162C4×#10621883C2211yescharacteristic, complemented
163C4×#10621883C2211yescharacteristic, complemented
164C4×D344C2211yescharacteristic
165#14582981C2211yescharacteristic
166C4×#10621882C2211yescharacteristic, complemented
167C4×#10621882C2211yescharacteristic, complemented
168#14582976C2211yescharacteristic
169#14582974C2211yescharacteristic, complemented
170#14582973C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic
172#14582967C2211yescharacteristic, complemented
173#14582967C2211yescharacteristic, complemented
174#14582958C2211yescharacteristic, complemented
175#14582954C2211yescharacteristic, complemented
176#14582940C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic, complemented
178C2×#13063256C2211yescharacteristic, complemented
179#14582902C2211yescharacteristic
180#14582900C2211yescharacteristic, complemented
181#14582899C2211yescharacteristic, complemented
182#14582898C2211yescharacteristic
183#14582894C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582856C2211yescharacteristic, complemented
186#14582855C2211yescharacteristic, complemented
187C4×#10621872C2211yescharacteristic, complemented
188C43×#540C2211yescharacteristic
189C43×#520C2211yescharacteristic, complemented
190C43×#481C2211yescharacteristic, complemented
191C43×#480C2211yescharacteristic, complemented
192C43×#479C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#460C2211yescharacteristic
195C43×#459C2211yescharacteristic
196C43×#449C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic, complemented
198C43×#442C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621898—21no—
207C2×#10621898—21no—
208C2×#10621898C2311yescharacteristic
209C2×#10621900—21no—
210C2×D4×D43—21no—
211C2×D4×D43C2311yescharacteristic
212C2×D4×D43C2311yescharacteristic
213C22×C4×D43—21no—
214#13063352—24no—
215#13063352—24no—
216#13063345—24no—
217C2×#10621885C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621877C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C22×C43⋊C8C2311yescharacteristic
234C2×C8×D43C2311yescharacteristic
235#13063324—21no—
236#13063324C2311yescharacteristic
237#13063324C2311yescharacteristic
238#13063322—21no—
239#13063322C2311yescharacteristic
240#13063321—21no—
241#13063321—21no—
242#13063321C2311yescharacteristic
243#13063321C2311yescharacteristic
244#13063320—21no—
245#13063320—21no—
246#13063320D411yescharacteristic
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318D411yescharacteristic
252#13063317—21no—
253#13063317C2311yescharacteristic
254#13063316—21no—
255#13063316—21no—
256#13063316C2311yescharacteristic
257#13063316C2311yescharacteristic
258#13063315D411yescharacteristic
259#13063312—21no—
260#13063312C2311yescharacteristic
261#13063312C2311yescharacteristic
262#13063311—21no—
263#13063311—21no—
264#13063311D411yescharacteristic
265#13063310—21no—
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310D411yescharacteristic
271#13063309—21no—
272#13063308—21no—
273#13063308—21no—
274#13063308—21no—
275#13063308—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307D411yescharacteristic
282#13063306—21no—
283#13063306—21no—
284#13063306—21no—
285#13063305—21no—
286#13063305C2311yescharacteristic
287#13063305C2311yescharacteristic
288#13063304—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303—21no—
292#13063303D411yescharacteristic
293#13063302—21no—
294#13063300—21no—
295#13063300—21no—
296#13063300C2311yescharacteristic
297#13063300C2311yescharacteristic
298#13063299—21no—
299#13063299—21no—
300#13063299—21no—
301#13063299—21no—
302#13063299—21no—
303#13063299C2311yescharacteristic
304#13063299C2311yescharacteristic
305#13063298—21no—
306#13063298—21no—
307#13063298—21no—
308#13063298—21no—
309#13063298—21no—
310#13063298—21no—
311#13063298—21no—
312#13063298D411yescharacteristic
313#13063297—21no—
314#13063296—21no—
315#13063296—21no—
316#13063296—21no—
317#13063296—21no—
318#13063296—21no—
319#13063296C2311yescharacteristic
320#13063296C2311yescharacteristic
321#13063296C2311yescharacteristic
322#13063296C2311yescharacteristic
323#13063293—21no—
324#13063293—21no—
325#13063293—21no—
326#13063293—21no—
327Q8×Dic43C2311yescharacteristic
328Q8×Dic43C2311yescharacteristic
329C4×Dic86—21no—
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333C4×D172—21no—
334C4×D172—21no—
335C4×D172—21no—
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341D4×Dic43—21no—
342D4×Dic43—21no—
343D4×Dic43C2311yescharacteristic
344D4×Dic43C2311yescharacteristic
345#13063287—21no—
346#13063287—21no—
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
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(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365#13063284—21no—
366#13063283—21no—
367#13063283—21no—
368#13063283—21no—
369#13063283C2311yescharacteristic
370#13063283C2311yescharacteristic
371#13063282—21no—
372#13063282C2311yescharacteristic
373C2×C4⋊Dic43C2311yescharacteristic
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43C2311yescharacteristic
378C4⋊C4×D43C2311yescharacteristic
379C2×(C2×D43)⋊C4—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C42×D43—21no—
385C42×D43C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
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
438C2×#41×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443#127×C43C2311yescharacteristic
444#125×C43C2311yescharacteristic
445#123×C43—21no—
446#123×C43—21no—
447#121×C43—21no—
448#121×C43—21no—
449#121×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×D4×C43—21no—
454C4×D4×C43—21no—
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#117×C43—21no—
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43—21no—
462C2×C4⋊C4×C43C2311yescharacteristic
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
481C23×D43—21no—
482C23×D43—21no—
483#41×C43—22no—
484#41×C43—41no—
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43C2411yescharacteristic
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⋊D43C2×D411yescharacteristic
515C2×C22⋊D43C2×D411yescharacteristic
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519#10621902—22no—
520#10621902—22no—
521#10621902—41no—
522#10621902—41no—
523#10621900—82no—
524D4×D43—22no—
525D4×D43—22no—
526D4×D43—41no—
527D4×D43—41no—
528D4×D43—82no—
529#10621898—22no—
530#10621898—41no—
531#10621898—82no—
532#10621898—82no—
533#10621898—82no—
534C2×D172—21no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—21no—
540C2×D172C2×D411yescharacteristic
541C2×D172C2411yescharacteristic
542C2×D172C2411yescharacteristic
543C2×D172C2411yescharacteristic
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—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—82no—
558C2×C4×D43C2×D411yescharacteristic
559C2×C4×D43C2×D411yescharacteristic
560C2×C4×D43C2411yescharacteristic
561C2×C4×D43C2411yescharacteristic
562C2×Dic86—21no—
563C2×Dic86—21no—
564C2×Dic86C2×D411yescharacteristic
565C2×Dic86C2411yescharacteristic
566SD16×C43—22no—
567SD16×C43—22no—
568D8×C43—41no—
569D8×C43—41no—
570C2×C8×C43C2411yescharacteristic
571C2×C8×C43C2411yescharacteristic
572C2×C8×C43C2411yescharacteristic
573C2×C8×C43C2411yescharacteristic
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43—21no—
579C4⋊C4×C43C2×D411yescharacteristic
580C4⋊C4×C43C2×D411yescharacteristic
581C4⋊C4×C43C2411yescharacteristic
582C4⋊C4×C43C2411yescharacteristic
583C4⋊C4×C43C2411yescharacteristic
584C4⋊C4×C43C2411yescharacteristic
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⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43C2×D411yescharacteristic
608C22⋊Dic43C2×D411yescharacteristic
609#10621885—22no—
610#10621884#4114yescomplemented
611#10621883—22no—
612#10621882—22no—
613#10621882—22no—
614#10621882—22no—
615#10621882—41no—
616#10621882—41no—
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)⋊C4C2×D411yescharacteristic
634(C2×D43)⋊C4C2×D411yescharacteristic
635(C2×D43)⋊C4C2×D411yescharacteristic
636(C2×D43)⋊C4C2×D411yescharacteristic
637(C2×D43)⋊C4C2×D411yescharacteristic
638(C2×D43)⋊C4C2×D411yescharacteristic
639C4⋊Dic43—21no—
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43C2×D411yescharacteristic
647C4⋊Dic43C2×D411yescharacteristic
648C4⋊Dic43C2411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2×D411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678#10621877—41no—
679C2×C43⋊C8—22no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684D344—22no—
685D344—22no—
686#10621873—41no—
687#10621873—41no—
688#10621872—22no—
689#10621872—22no—
690#10621872—41no—
691C8×D43—41no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43C22×D411yescharacteristic
696C22×D43—21no—
697C22×D43—21no—
698C22×D43—21no—
699C22×D43—42no—
700C22×D43—42no—
701C22×D43—42no—
702C22×D43—81no—
703C22×D43—81no—
704C22×D43—81no—
705C22×D43C22×D411yescharacteristic
706C22×D43C22×D411yescharacteristic
707Q8×C43—21no—
708Q8×C43C2×#4112yes—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—21no—
712D4×C43—21no—
713D4×C43—21no—
714D4×C43—21no—
715D4×C43—42no—
716D4×C43—81no—
717D4×C43—81no—
718D4×C43—81no—
719D4×C43—81no—
720C2×C4×C43—21no—
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—42no—
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—81no—
747C22⋊D43—81no—
748C22⋊D43—81no—
749C22⋊D43—81no—
750C22⋊D43—81no—
751C22⋊D43—81no—
752C22⋊D43—81no—
753C22⋊D43—81no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—81no—
760C2×Dic43—81no—
761C2×Dic43—81no—
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767C2×Dic43C22×D411yescharacteristic
768D172—21no—
769D172—21no—
770D172—21no—
771D172—21no—
772D172—21no—
773D172—41no—
774D172—42no—
775D172—42no—
776D172—81no—
777D172—81no—
778D172—81no—
779D172—81no—
780D172C2×#4112yes—
781C4×D43—21no—
782C4×D43—21no—
783C4×D43—21no—
784C4×D43—21no—
785C4×D43—41no—
786C4×D43—41no—
787C4×D43—42no—
788C4×D43—42no—
789C4×D43—42no—
790C4×D43—42no—
791C4×D43—42no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800Dic86—21no—
801Dic86—21no—
802Dic86—41no—
803Dic86—42no—
804Dic86—81no—
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#61507—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43—41no—
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×C43C23×D411yescharacteristic
827C2×D43—21no—
828C2×D43—21no—
829C2×D43—21no—
830C2×D43—21no—
831C2×D43—22no—
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—84no—
843C2×D43—162no—
844C4×C43—21no—
845C4×C43—21no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—22no—
849C4×C43—21no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43C22×#4111yescharacteristic
855C4×C43#58511yescharacteristic
856Dic43—21no—
857Dic43—21no—
858Dic43—21no—
859Dic43—21no—
860Dic43—21no—
861Dic43—21no—
862Dic43—41no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867#3517—431no—
868#3513—431no—
869#3399—431no—
870#3388—431no—
871#3371—431no—
872#3366—431no—
873#3351—431no—
874#3345—431no—
875#3345—431no—
876#3332—431no—
877#3322—431no—
878#3318—431no—
879#3317—431no—
880#3309—431no—
881#3306—431no—
882#3274—431no—
883#3268—431no—
884#3268—431no—
885#3179—431no—
886#3176—431no—
887#3171—431no—
888#3125—431no—
889#3122—431no—
890#3119—431no—
891#3119D4311yescharacteristic, complemented
892#3111—431no—
893#3109—431no—
894#2967—431no—
895#2952—431no—
896#2946—431no—
897C4×AGL(1,ℤ/8)—431no—
898C2×C43—41no—
899C2×C43—81no—
900C2×C43—81no—
901C2×C43—81no—
902C2×C43D4×#4111yescharacteristic
903C2×C43#358511yescharacteristic
904C2×C43#358511yescharacteristic
905D43—41no—
906D43—41no—
907D43—42no—
908D43—81no—
909D43—81no—
910C2×AGL(1,ℤ/8)—431no—
911C2×AGL(1,ℤ/8)—431no—
912C2×#135—431no—
913#559—431no—
914#557—431no—
915#554—431no—
916#553—431no—
917#553—431no—
918#553—431no—
919#553—861no—
920#553—861no—
921#553—861no—
922#552—431no—
923#551—861no—
924#551—861no—
925#550—431no—
926#550—431no—
927#550—431no—
928#550—431no—
929#550—861no—
930#547—431no—
931#547—431no—
932#547—861no—
933#546—431no—
934#546—431no—
935#546—861no—
936D42—431no—
937#542—431no—
938#540—431no—
939#540—431no—
940#540—861no—
941#540—861no—
942#540C2×D4311yescharacteristic
943#539—861no—
944#538—861no—
945#532—431no—
946#532—861no—
947#529—431no—
948#529—431no—
949#529—861no—
950#525—861no—
951C2×#123—861no—
952#520—431no—
953#520—431no—
954#520C2×D4311yescharacteristic, complemented
955#518—431no—
956C4×#41—431no—
957C2×C4×D4—431no—
958#501—431no—
959#501—431no—
960#499—431no—
961#496—431no—
962#496—431no—
963#493—431no—
964#490—431no—
965#490—431no—
966#490—431no—
967#489—431no—
968#488—431no—
969#486—431no—
970#485—431no—
971#483—431no—
972#482—431no—
973#482—431no—
974#482—431no—
975#481—431no—
976#481—431no—
977#481—431no—
978#481—431no—
979#481C2×D4311yescharacteristic, complemented
980#480—431no—
981#480C2×D4311yescharacteristic, complemented
982#479—431no—
983#479—431no—
984#479C2×D4311yescharacteristic, complemented
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478C2×D4311yescharacteristic, complemented
990#476—431no—
991#476—431no—
992#476—431no—
993#475—431no—
994#469—431no—
995#469—431no—
996#469—431no—
997#469—431no—
998#469—431no—
999#468—431no—
1000#468—431no—
1001#468—431no—
1002#466—431no—
1003#466—431no—
1004#466—431no—
1005#465—431no—
1006#464—431no—
1007#464—431no—
1008#463—431no—
1009#463—431no—
1010#460—431no—
1011#460C2×D4311yescharacteristic
1012#459—431no—
1013#459—431no—
1014#459—431no—
1015#459—431no—
1016#459—431no—
1017#459C2×D4311yescharacteristic
1018#452—431no—
1019#452—431no—
1020#449—431no—
1021#449—431no—
1022#449—431no—
1023#449—431no—
1024#449C2×D4311yescharacteristic, complemented
1025#449C2×D4311yescharacteristic, complemented
1026#447—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#446—431no—
1031#446—431no—
1032#442—431no—
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442C2×D4311yescharacteristic, complemented
1041#441—431no—
1042#441—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440C2×D4311yescharacteristic, complemented
1048C4×SD16—431no—
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16C2×D4311yescharacteristic, complemented
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8C2×D4311yescharacteristic, complemented
1060#436—431no—
1061#436—431no—
1062#435—431no—
1063#435—431no—
1064#435—431no—
1065#435—431no—
1066#433—431no—
1067#433C2×D4311yescharacteristic, complemented
1068#432—431no—
1069#428—431no—
1070#428—431no—
1071C2×#106—431no—
1072#418—431no—
1073#417—431no—
1074#417—431no—
1075#417—431no—
1076#416—431no—
1077C2×#102—431no—
1078#405—431no—
1079#405—431no—
1080C4×M16—431no—
1081C43#6150711yescharacteristic, complemented, Sylow
1082C2×#41—431no—
1083C2×#41—431no—
1084C2×#41—431no—
1085C2×#41—861no—
1086C2×#41—861no—
1087C2×#41—861no—
1088C2×#41—861no—
1089C2×#41C22×D4311yescharacteristic
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—861no—
1093C23×C4—861no—
1094AGL(1,ℤ/8)—864no—
1095AGL(1,ℤ/8)—864no—
1096#135—864no—
1097C2×Q16—431no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16C22×D4311yescharacteristic
1103C2×SD16C22×D4311yescharacteristic
1104C2×D8—431no—
1105C2×D8—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8C22×D4311yescharacteristic
1112C2×D8C22×D4311yescharacteristic
1113C2×M16—431no—
1114C2×M16—431no—
1115C2×M16—431no—
1116C2×M16—431no—
1117C22×C8—431no—
1118C22×C8—431no—
1119C4⋊Q8—431no—
1120C4⋊Q8—431no—
1121C4⋊Q8—861no—
1122#127—431no—
1123#127—431no—
1124#127—431no—
1125#127—861no—
1126#127—861no—
1127#127—861no—
1128#127C22×D4311yescharacteristic
1129#126—431no—
1130#126—431no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#125—431no—
1138#125—431no—
1139#125—431no—
1140#125—431no—
1141#125—861no—
1142#125—861no—
1143#125—861no—
1144#125C22×D4311yescharacteristic
1145#124—431no—
1146#124—431no—
1147#124—431no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#123—21no—
1152#123—21no—
1153#123—431no—
1154#123—431no—
1155#123—861no—
1156#123—861no—
1157#123—861no—
1158#123—861no—
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—
1172#123—861no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182#121—21no—
1183#121—21no—
1184#121—431no—
1185#121—431no—
1186#121—431no—
1187#121—431no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—431no—
1192#121—431no—
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#121C22×D4311yescharacteristic
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219C4×Q8—431no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—861no—
1225C4×Q8C22×D4311yescharacteristic
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—21no—
1228C4×D4—21no—
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—861no—
1243C4×D4—861no—
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
1265#117—21no—
1266#117—431no—
1267#117—431no—
1268#117—431no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117C22×D4311yescharacteristic
1275C2×C4⋊C4—21no—
1276C2×C4⋊C4—431no—
1277C2×C4⋊C4—431no—
1278C2×C4⋊C4—431no—
1279C2×C4⋊C4—861no—
1280C2×C4⋊C4—861no—
1281C2×C4⋊C4—861no—
1282C2×C4⋊C4C22×D4311yescharacteristic
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C42—431no—
1289C2×C42—861no—
1290#107—431no—
1291#107—431no—
1292#107—431no—
1293#107—431no—
1294#107C22×D4311yescharacteristic
1295#107C22×D4311yescharacteristic
1296#106—431no—
1297#106—431no—
1298#106—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106C22×D4311yescharacteristic
1305#106C22×D4311yescharacteristic
1306C4⋊C8—431no—
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8C22×D4311yescharacteristic
1311C4⋊C8C22×D4311yescharacteristic
1312#103—431no—
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103C22×D4311yescharacteristic
1319#103C22×D4311yescharacteristic
1320#102—431no—
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#102C22×D4311yescharacteristic
1339#102C22×D4311yescharacteristic
1340#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344C22⋊C8—431no—
1345C22⋊C8—431no—
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8C22×D4311yescharacteristic
1349C22⋊C8C22×D4311yescharacteristic
1350#97—431no—
1351#97—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97C22×D4311yescharacteristic
1356C4×C8—431no—
1357C4×C8—431no—
1358C4×C8—431no—
1359C4×C8C22×D4311yescharacteristic
1360C24—861no—
1361C24—861no—
1362#41—22no—
1363#41—41no—
1364#41—862no—
1365#41—862no—
1366#41—862no—
1367#41—3442no—
1368#41—3442no—
1369#41—3442no—
1370#41—3442no—
1371#41—1721no—
1372#41—1721no—
1373#41—1721no—
1374C2×Q8—431no—
1375C2×Q8—431no—
1376C2×Q8—861no—
1377C2×Q8—861no—
1378C2×Q8C23×D4311yescharacteristic
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—431no—
1385C2×D4—431no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—431no—
1389C2×D4—431no—
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—1721no—
1413C2×D4—1721no—
1414C2×D4C23×D4311yescharacteristic
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—431no—
1424C22×C4—431no—
1425C22×C4—431no—
1426C22×C4—431no—
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—861no—
1441C22×C4—861no—
1442C22×C4—861no—
1443C22×C4—3442no—
1444C22×C4C23×D4311yescharacteristic
1445Q16—862no—
1446SD16—22no—
1447SD16—22no—
1448SD16—434no—
1449SD16—862no—
1450SD16—1721no—
1451SD16—1721no—
1452D8—41no—
1453D8—41no—
1454D8—862no—
1455D8—862no—
1456D8—862no—
1457D8—862no—
1458D8—862no—
1459D8—1721no—
1460D8—1721no—
1461M16—862no—
1462M16—862no—
1463M16—1721no—
1464M16—1721no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—431no—
1469C2×C8—862no—
1470C2×C8—1721no—
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C2×C8C23×D4311yescharacteristic
1474C2×C8C23×D4311yescharacteristic
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—431no—
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⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4D4×D4311yescharacteristic
1510C4⋊C4D4×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C4⋊C4C23×D4311yescharacteristic
1513C4⋊C4C23×D4311yescharacteristic
1514C4⋊C4C23×D4311yescharacteristic
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—431no—
1528C22⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1556C22⋊C4D4×D4311yescharacteristic
1557C42—21no—
1558C42—21no—
1559C42—431no—
1560C42—431no—
1561C42—431no—
1562C42—431no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42C23×D4311yescharacteristic
1570C42C23×D4311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—431no—
1575C23—431no—
1576C23—861no—
1577C23—861no—
1578C23—861no—
1579C23—3441no—
1580C23—3441no—
1581C23—3441no—
1582C23—1722no—
1583C23—1722no—
1584C23—1722no—
1585C23C2×D4×D4311yescharacteristic
1586Q8—21no—
1587Q8—861no—
1588Q8—861no—
1589Q8—3441no—
1590Q8—1721no—
1591Q8—1722no—
1592Q8#41×D4312yes—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—42no—
1600D4—81no—
1601D4—81no—
1602D4—81no—
1603D4—81no—
1604D4—432no—
1605D4—861no—
1606D4—861no—
1607D4—861no—
1608D4—861no—
1609D4—861no—
1610D4—3441no—
1611D4—3441no—
1612D4—3441no—
1613D4—3441no—
1614D4—3441no—
1615D4—3441no—
1616D4—3441no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—1721no—
1623D4—1722no—
1624D4—1722no—
1625D4—1721no—
1626D4—1721no—
1627D4—1722no—
1628D4—1722no—
1629D4—1722no—
1630D4—1722no—
1631D4—1722no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—42no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—431no—
1646C2×C4—431no—
1647C2×C4—431no—
1648C2×C4—431no—
1649C2×C4—431no—
1650C2×C4—431no—
1651C2×C4—861no—
1652C2×C4—861no—
1653C2×C4—861no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—3441no—
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—1721no—
1672C2×C4—1721no—
1673C2×C4—1722no—
1674C2×C4—1722no—
1675C2×C4—1722no—
1676C2×C4—1722no—
1677C2×C4—1722no—
1678C2×C4C2×D4×D4311yescharacteristic
1679C2×C4C2×D4×D4311yescharacteristic
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C24×D4311yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—432no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—861no—
1705C22—861no—
1706C22—862no—
1707C22—861no—
1708C22—861no—
1709C22—861no—
1710C22—861no—
1711C22—3444no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—6882no—
1721C22C22×D4×D4311yescharacteristic
1722C4—21no—
1723C4—22no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—861no—
1733C4—861no—
1734C4—861no—
1735C4—861no—
1736C4—861no—
1737C4—861no—
1738C4—1721no—
1739C4—1721no—
1740C4—1721no—
1741C4—1721no—
1742C4—1721no—
1743C4C2×#41×D4311yescharacteristic
1744C4#1458373511yescharacteristic
1745C2—41no—
1746C2—81no—
1747C2—81no—
1748C2—81no—
1749C2—3441no—
1750C2—3441no—
1751C2—1721no—
1752C2—1721no—
1753C2—1722no—
1754C2#1914807811yescharacteristic
1755C2#1914937011yescharacteristic
1756C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3119C2
socleC22×C43C23×D4
hypercenter#3119D43
hypocenterC43#61507
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3119

Complements

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

NH ≅ G/Ntype
1. #19148595C2semidirect
2. #19148533C2semidirect
3. #19147641C2semidirect
4. #19147538C2semidirect
5. #19147356C2semidirect
6. #19147305C2semidirect
7. #19147162C2semidirect
8. #19147069C2semidirect
9. #19147063C2semidirect
10. #19146915C2semidirect
11. #19146799C2semidirect
12. #19146743C2semidirect
13. #19146718C2semidirect
14. #19146594C2semidirect
15. #19146559C2semidirect
16. #19146210C2semidirect
17. #19146128C2semidirect
18. #19146128C2semidirect
19. #19145284C2semidirect
20. #19145239C2semidirect
21. #19145188C2semidirect
22. #19144878C2semidirect
23. #19144835C2semidirect
24. #19144796C2semidirect
25. #19144702C2semidirect
26. #19144684C2semidirect
27. #19143578C2semidirect
28. #19143476C2semidirect
29. #19143426C2semidirect
30. C4×#13063352C2semidirect
31. C43×#3119C2semidirect
36. #14583625C22semidirect
42. #14583597C22semidirect
49. #14583570C22semidirect
50. #14583568C22semidirect
51. #14583568C22semidirect
53. #14583550C22semidirect
61. #14583504C22semidirect
63. #14583500C22semidirect
67. #14583446C22semidirect
73. #14583381C22semidirect
76. C4×#10621902C22semidirect
78. #14583307C22semidirect
79. #14583306C22semidirect
80. #14583298C22semidirect
81. #14583287C22semidirect
82. #14583287C22semidirect
84. #14583265C22semidirect
86. #14583262C22semidirect
87. #14583257C22semidirect
88. #14583252C22semidirect
89. #14583244C22semidirect
90. #14583242C22semidirect
91. #14583231C22semidirect
92. #14583226C22semidirect
94. #14583221C22semidirect
95. #14583219C22semidirect
96. #14583218C22semidirect
98. #14583216C22semidirect
99. #14583213C22semidirect
100. #14583208C22semidirect
101. #14583207C22semidirect
103. #14583202C22semidirect
105. #14583197C22semidirect
107. #14583188C22semidirect
108. #14583187C22semidirect
109. #14583182C22semidirect
112. #14583150C22semidirect
113. #14583150C22semidirect
115. #14583146C22semidirect
116. #14583144C22semidirect
117. #14583144C22semidirect
118. #14583133C22semidirect
119. #14583133C22semidirect
121. #14583129C22semidirect
122. #14583119C22semidirect
123. #14583119C22semidirect
124. #14583113C22semidirect
125. #14583113C22semidirect
126. #14583100C22semidirect
130. #14583092C22semidirect
131. #14583092C22semidirect
132. #14583064C22semidirect
133. #14583064C22semidirect
142. #14583028C22semidirect
143. #14583026C22semidirect
148. #14583009C22semidirect
149. #14583009C22semidirect
150. #14583008C22semidirect
151. #14583008C22semidirect
152. #14583004C22semidirect
153. #14583004C22semidirect
156. #14583001C22semidirect
157. #14583000C22semidirect
158. C4×#10621873C22semidirect
159. SD16×Dic43C22semidirect
162. C4×#10621883C22semidirect
163. C4×#10621883C22semidirect
166. C4×#10621882C22semidirect
167. C4×#10621882C22semidirect
169. #14582974C22semidirect
170. #14582973C22semidirect
172. #14582967C22semidirect
173. #14582967C22semidirect
174. #14582958C22semidirect
175. #14582954C22semidirect
176. #14582940C22semidirect
177. #14582938C22semidirect
178. C2×#13063256C22semidirect
180. #14582900C22semidirect
181. #14582899C22semidirect
183. #14582894C22semidirect
185. #14582856C22semidirect
186. #14582855C22semidirect
187. C4×#10621872C22semidirect
189. C43×#520C22semidirect
190. C43×#481C22semidirect
191. C43×#480C22semidirect
192. C43×#479C22semidirect
193. C43×#478C22semidirect
196. C43×#449C22semidirect
197. C43×#449C22semidirect
198. C43×#442C22semidirect
199. C43×#440C22semidirect
200. C4×SD16×C43C22semidirect
201. C4×D8×C43C22semidirect
202. C43×#433C22semidirect
610. #10621884#41semidirect
891. #3119D43semidirect
954. #520C2×D43semidirect
979. #481C2×D43semidirect
981. #480C2×D43semidirect
984. #479C2×D43semidirect
989. #478C2×D43semidirect
1024. #449C2×D43semidirect
1025. #449C2×D43semidirect
1040. #442C2×D43semidirect
1047. #440C2×D43semidirect
1054. C4×SD16C2×D43semidirect
1059. C4×D8C2×D43semidirect
1067. #433C2×D43semidirect
1081. C43#61507semidirect

Maximal subgroups

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

subgroupindex
#191485952
#191485332
#191476412
#191475382
#191473562
#191473052
#191471622
#191470692
#191470632
#191469152
#191467992
#191467432
#191467182
#191465942
#191465592
#191462102
#191461282
#191452842
#191452392
#191451882
#191448782
#191448352
#191447962
#191447022
#191446842
#191435782
#191434762
#191434262
C4×#130633522
C43×#31192
#6150743