Finite Group Databasebeta

← #25979729

Subgroups — #25979729

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#19148696C211yesmaximal, characteristic, complemented
2#19148625C211yesmaximal, characteristic, complemented
3#19147640C211yesmaximal, characteristic, complemented
4#19147543C211yesmaximal, characteristic, complemented
5#19147346C211yesmaximal, characteristic, complemented
6#19147328C211yesmaximal, characteristic, complemented
7#19147159C211yesmaximal, characteristic, complemented
8#19147098C211yesmaximal, characteristic, complemented
9#19147092C211yesmaximal, characteristic, complemented
10#19146845C211yesmaximal, characteristic, complemented
11#19146840C211yesmaximal, characteristic, complemented
12#19146785C211yesmaximal, characteristic, complemented
13#19146734C211yesmaximal, characteristic, complemented
14#19146614C211yesmaximal, characteristic, complemented
15#19146605C211yesmaximal, characteristic, complemented
16#19146208C211yesmaximal, characteristic, complemented
17#19146093C211yesmaximal, characteristic, complemented
18#19146085C211yesmaximal, characteristic, complemented
19#19145280C211yesmaximal, characteristic, complemented
20#19145243C211yesmaximal, characteristic, complemented
21#19145188C211yesmaximal, characteristic, complemented
22#19144883C211yesmaximal, characteristic, complemented
23#19144835C211yesmaximal, characteristic, complemented
24#19144781C211yesmaximal, characteristic, complemented
25#19144744C211yesmaximal, characteristic, complemented
26#19144731C211yesmaximal, characteristic, complemented
27#19143578C211yesmaximal, characteristic, complemented
28#19143451C211yesmaximal, characteristic, complemented
29#19143423C211yesmaximal, characteristic, complemented
30C4×#13063352C211yesmaximal, characteristic, complemented
31C43×#3119C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C2×SD16×D43C2211yescharacteristic
35#14583632—21no—
36#14583632C2211yescharacteristic, complemented
37#14583628C2211yescharacteristic, complemented
38#14583614—21no—
39#14583614C2211yescharacteristic, complemented
40#14583613C2211yescharacteristic
41#14583605C2211yescharacteristic
42#14583602C2211yescharacteristic
43#14583597—21no—
44#14583597C2211yescharacteristic, complemented
45#14583596C2211yescharacteristic
46#14583594—21no—
47#14583584—21no—
48#14583584C2211yescharacteristic, complemented
49#14583569C2211yescharacteristic
50#14583568C2211yescharacteristic, complemented
51#14583561C2211yescharacteristic, complemented
52#14583556C2211yescharacteristic, complemented
53#14583546—21no—
54#14583541—21no—
55#14583538—21no—
56#14583534C2211yescharacteristic
57#14583533C2211yescharacteristic
58#14583533C2211yescharacteristic
59#14583520—21no—
60#14583520C2211yescharacteristic, complemented
61#14583500—21no—
62#14583500C2211yescharacteristic
63#14583500C2211yescharacteristic, complemented
64#14583485—21no—
65#14583481—21no—
66#14583446C2211yescharacteristic
67#14583431—21no—
68#14583431C2211yescharacteristic, complemented
69#14583427—21no—
70#14583427C2211yescharacteristic
71#14583407—21no—
72#121×D43—21no—
73#14583375C2211yescharacteristic, complemented
74#14583373C2211yescharacteristic
75#14583371C2211yescharacteristic
76C4×#10621902C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583299C2211yescharacteristic, complemented
81#14583287C2211yescharacteristic, complemented
82#14583286C2211yescharacteristic, complemented
83#14583274C2211yescharacteristic, complemented
84#14583262C2211yescharacteristic, complemented
85#14583262C2211yescharacteristic, complemented
86#14583262C2211yescharacteristic, complemented
87#14583257C2211yescharacteristic, complemented
88#14583256C2211yescharacteristic, complemented
89#14583245C2211yescharacteristic, complemented
90#14583241C2211yescharacteristic, complemented
91#14583231C2211yescharacteristic, complemented
92#14583226C2211yescharacteristic, complemented
93#14583226C2211yescharacteristic, complemented
94#14583225C2211yescharacteristic, complemented
95#14583224C2211yescharacteristic, complemented
96#14583222C2211yescharacteristic, complemented
97#14583222C2211yescharacteristic, complemented
98#14583221C2211yescharacteristic, complemented
99#14583211C2211yescharacteristic, complemented
100#14583209C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583202C2211yescharacteristic
103#14583198C2211yescharacteristic
104#14583197C2211yescharacteristic, complemented
105#14583197C2211yescharacteristic, complemented
106#14583190C2211yescharacteristic
107#14583182C2211yescharacteristic, complemented
108#14583180C2211yescharacteristic, complemented
109#14583178C2211yescharacteristic, complemented
110#14583153C2211yescharacteristic, complemented
111#14583151C2211yescharacteristic, complemented
112#14583150C2211yescharacteristic, complemented
113#14583149C2211yescharacteristic, complemented
114#14583149C2211yescharacteristic, complemented
115#14583146C2211yescharacteristic, complemented
116#14583144C2211yescharacteristic, complemented
117#14583143C2211yescharacteristic, complemented
118#14583134C2211yescharacteristic, complemented
119#14583134C2211yescharacteristic, complemented
120#14583133C2211yescharacteristic, complemented
121#14583126C2211yescharacteristic, complemented
122#14583115C2211yescharacteristic
123#14583115C2211yescharacteristic, complemented
124#14583113C2211yescharacteristic
125#14583112C2211yescharacteristic, complemented
126#14583098C2211yescharacteristic, complemented
127#14583097C2211yescharacteristic, complemented
128#14583097C2211yescharacteristic, complemented
129#14583093C2211yescharacteristic
130#14583093C2211yescharacteristic, complemented
131#14583092C2211yescharacteristic, complemented
132#14583052C2211yescharacteristic
133#14583051C2211yescharacteristic
134#14583047C2211yescharacteristic, complemented
135#14583043C2211yescharacteristic, complemented
136#14583039C2211yescharacteristic, complemented
137#14583036C2211yescharacteristic, complemented
138#14583035C2211yescharacteristic
139#14583034C2211yescharacteristic
140#14583031C2211yescharacteristic
141#14583031C2211yescharacteristic
142#14583028C2211yescharacteristic, complemented
143#14583026C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic, complemented
145#14583010C2211yescharacteristic
146#14583009C2211yescharacteristic
147#14583009C2211yescharacteristic, complemented
148#14583009C2211yescharacteristic, complemented
149#14583008C2211yescharacteristic, complemented
150#14583002C2211yescharacteristic
151#14583001C2211yescharacteristic
152#14583000C2211yescharacteristic, complemented
153#14583000C2211yescharacteristic, complemented
154#14582999C2211yescharacteristic, complemented
155#14582998C2211yescharacteristic
156#14582997C2211yescharacteristic
157#14582997C2211yescharacteristic, complemented
158#14582990C2211yescharacteristic, complemented
159C4×#10621873C2211yescharacteristic, complemented
160C4×#10621884C2211yescharacteristic
161C4×#10621884C2211yescharacteristic, complemented
162C4×#10621883C2211yescharacteristic, complemented
163#14582984C2211yescharacteristic
164C4×D344C2211yescharacteristic
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#14582939C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic, complemented
178#14582936C2211yescharacteristic, complemented
179#14582906C2211yescharacteristic, complemented
180#14582902C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582899C2211yescharacteristic, complemented
183#14582895C2211yescharacteristic, complemented
184C2×#13063245C2211yescharacteristic
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, complemented
195C43×#459C2211yescharacteristic, complemented
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×#10621898—21no—
205C2×#10621900—21no—
206C2×Q8×D43C2311yescharacteristic
207C22×D172C2311yescharacteristic
208C2×D4×D43—21no—
209C2×D4×D43—21no—
210C2×D4×D43—21no—
211C2×D4×D43C2311yescharacteristic
212C2×D4×D43C2311yescharacteristic
213C22×C4×D43—21no—
214#13063352—24no—
215#13063350—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#13063325—21no—
236#13063325C2311yescharacteristic
237#13063324C2311yescharacteristic
238#13063321—21no—
239#13063321C2311yescharacteristic
240#13063321C2311yescharacteristic
241#13063321C2311yescharacteristic
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320—21no—
246#13063320D411yescharacteristic
247#13063318—21no—
248#13063318—21no—
249#13063318D411yescharacteristic
250#13063316—21no—
251#13063316—21no—
252#13063316C2311yescharacteristic
253#13063316C2311yescharacteristic
254#13063316C2311yescharacteristic
255#13063315—21no—
256#13063315D411yescharacteristic
257#13063313—21no—
258#13063313C2311yescharacteristic
259#13063312—21no—
260#13063312—21no—
261#13063312C2311yescharacteristic
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063311—21no—
267#13063311—21no—
268#13063311D411yescharacteristic
269#13063310—21no—
270#13063310—21no—
271#13063310D411yescharacteristic
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#13063305—21no—
284#13063305—21no—
285#13063305C2311yescharacteristic
286#13063304—21no—
287#13063304C2311yescharacteristic
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303D411yescharacteristic
292#13063300—21no—
293#13063300—21no—
294#13063300C2311yescharacteristic
295#13063300C2311yescharacteristic
296#13063300C2311yescharacteristic
297#13063299—21no—
298#13063299—21no—
299#13063299—21no—
300#13063299—21no—
301#13063299—21no—
302#13063299C2311yescharacteristic
303#13063298—21no—
304#13063298—21no—
305#13063298—21no—
306#13063298—21no—
307#13063298—21no—
308#13063298D411yescharacteristic
309#13063297—21no—
310#13063297—21no—
311#13063297—21no—
312#13063296—21no—
313#13063296—21no—
314#13063296—21no—
315#13063296—21no—
316#13063296—21no—
317#13063296C2311yescharacteristic
318#13063296C2311yescharacteristic
319#13063296C2311yescharacteristic
320#13063296C2311yescharacteristic
321#13063295—21no—
322#13063295—21no—
323#13063293—21no—
324#13063293—21no—
325#13063293—21no—
326#13063293—21no—
327Q8×Dic43C2311yescharacteristic
328Q8×Dic43C2311yescharacteristic
329C4×Dic86—21no—
330C4×Dic86—21no—
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333#13063290—21no—
334#13063290C2311yescharacteristic
335C4×D172—21no—
336C4×D172—21no—
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341C4×D172C2311yescharacteristic
342C4×D172C2311yescharacteristic
343D4×Dic43C2311yescharacteristic
344D4×Dic43C2311yescharacteristic
345#13063287—21no—
346#13063287—21no—
347#13063287—21no—
348#13063287—21no—
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
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⋊D43—21no—
360C4×C22⋊D43C2311yescharacteristic
361C4×C22⋊D43C2311yescharacteristic
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365#13063284—21no—
366#13063284—21no—
367#13063284—21no—
368#13063284C2311yescharacteristic
369#13063283—21no—
370#13063283—21no—
371#13063283C2311yescharacteristic
372#13063283C2311yescharacteristic
373#13063283C2311yescharacteristic
374#13063282—21no—
375#13063282C2311yescharacteristic
376#13063281—21no—
377C4⋊C4×D43—21no—
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#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
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—
483C23×D43—21no—
484#41×C43—22no—
485#41×C43—41no—
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43C2411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43C2411yescharacteristic
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—21no—
515C2×C22⋊D43C2×D411yescharacteristic
516C2×C22⋊D43C2×D411yescharacteristic
517C22×Dic43—21no—
518C22×Dic43—21no—
519#10621902—22no—
520#10621902—41no—
521Q8×D43—22no—
522Q8×D43—41no—
523#10621900—82no—
524D4×D43—22no—
525D4×D43—22no—
526D4×D43—41no—
527D4×D43—41no—
528D4×D43—82no—
529D4×D43—82no—
530D4×D43—82no—
531#10621898—82no—
532C2×D172—21no—
533C2×D172—21no—
534C2×D172—21no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—22no—
538C2×D172—41no—
539C2×D172C2×D411yescharacteristic
540C2×D172C2411yescharacteristic
541C2×D172C2411yescharacteristic
542C2×D172C2411yescharacteristic
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—82no—
555C2×C4×D43C2×D411yescharacteristic
556C2×C4×D43C2×D411yescharacteristic
557C2×C4×D43C2411yescharacteristic
558C2×C4×D43C2411yescharacteristic
559C2×Dic86—21no—
560C2×Dic86—21no—
561C2×Dic86—21no—
562C2×Dic86C2×D411yescharacteristic
563C2×Dic86C2411yescharacteristic
564SD16×C43—22no—
565SD16×C43—22no—
566D8×C43—41no—
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×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43C2×D411yescharacteristic
578C4⋊C4×C43C2×D411yescharacteristic
579C4⋊C4×C43C2411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C4⋊C4×C43C2411yescharacteristic
582C4⋊C4×C43C2411yescharacteristic
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43C2×D411yescharacteristic
590C22⋊C4×C43C2×D411yescharacteristic
591C42×C43—21no—
592C42×C43—21no—
593C42×C43C2411yescharacteristic
594C42×C43C2411yescharacteristic
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
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⋊Dic43C2×D411yescharacteristic
606C22⋊Dic43C2×D411yescharacteristic
607#10621884—22no—
608#10621884#4114yescomplemented
609#10621883—22no—
610#10621883—41no—
611#10621882—22no—
612#10621882—22no—
613#10621882—22no—
614#10621882—41no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊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⋊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—22no—
685D344—41no—
686#10621873—22no—
687#10621873—41no—
688#10621872—22no—
689#10621872—41no—
690#10621872—41no—
691C8×D43—22no—
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—42no—
703C22×D43—81no—
704C22×D43—81no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43—81no—
708C22×D43C22×D411yescharacteristic
709C22×D43C22×D411yescharacteristic
710Q8×C43—21no—
711Q8×C43C2×#4112yes—
712D4×C43—21no—
713D4×C43—21no—
714D4×C43—21no—
715D4×C43—21no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—42no—
719D4×C43—81no—
720D4×C43—81no—
721D4×C43—81no—
722D4×C43—81no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—42no—
731C2×C4×C43—81no—
732C2×C4×C43—81no—
733C2×C4×C43—81no—
734C2×C4×C43—81no—
735C2×C4×C43—81no—
736C2×C4×C43C22×D411yescharacteristic
737C2×C4×C43C22×D411yescharacteristic
738C2×C4×C43C22×D411yescharacteristic
739C2×C4×C43C22×D411yescharacteristic
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C2511yescharacteristic
742C22⋊D43—41no—
743C22⋊D43—41no—
744C22⋊D43—42no—
745C22⋊D43—42no—
746C22⋊D43—42no—
747C22⋊D43—42no—
748C22⋊D43—81no—
749C22⋊D43—81no—
750C22⋊D43—81no—
751C22⋊D43—81no—
752C22⋊D43—81no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—42no—
763C2×Dic43—81no—
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767C2×Dic43C22×D411yescharacteristic
768C2×Dic43C22×D411yescharacteristic
769C2×Dic43C22×D411yescharacteristic
770D172—21no—
771D172—21no—
772D172—21no—
773D172—21no—
774D172—21no—
775D172—41no—
776D172—42no—
777D172—42no—
778D172—42no—
779D172—81no—
780D172—81no—
781D172C2×#4112yes—
782C4×D43—21no—
783C4×D43—21no—
784C4×D43—21no—
785C4×D43—21no—
786C4×D43—41no—
787C4×D43—41no—
788C4×D43—42no—
789C4×D43—42no—
790C4×D43—42no—
791C4×D43—81no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799Dic86—21no—
800Dic86—21no—
801Dic86—41no—
802Dic86—42no—
803Dic86—81no—
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#61504—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—
844C2×D43—162no—
845C4×C43—21no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—22no—
850C4×C43—21no—
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—21no—
862Dic43—21no—
863Dic43—41no—
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#3119D4311yescharacteristic, complemented
892#3118—431no—
893#3115—431no—
894#3114—431no—
895#2967—431no—
896#2949—431no—
897#2946—431no—
898C4×AGL(1,ℤ/8)—431no—
899C2×C43—41no—
900C2×C43—81no—
901C2×C43—81no—
902C2×C43—81no—
903C2×C43D4×#4111yescharacteristic
904C2×C43#358511yescharacteristic
905C2×C43#358511yescharacteristic
906D43—41no—
907D43—41no—
908D43—42no—
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—431no—
939#542—861no—
940#540—431no—
941#540—431no—
942#540—861no—
943#540C2×D4311yescharacteristic
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#520C2×D4311yescharacteristic, complemented
954#519—431no—
955#518—431no—
956#518—431no—
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#485—431no—
972#483—431no—
973#482—431no—
974#482—431no—
975#482—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482—431no—
980#481C2×D4311yescharacteristic, complemented
981#480—431no—
982#480C2×D4311yescharacteristic, complemented
983#479—431no—
984#479—431no—
985#479C2×D4311yescharacteristic, complemented
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#478C2×D4311yescharacteristic, complemented
991#476—431no—
992#475—431no—
993#474—431no—
994#474—431no—
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#463—431no—
1010#463—431no—
1011#460—431no—
1012#460—431no—
1013#460—431no—
1014#460C2×D4311yescharacteristic, complemented
1015#459—431no—
1016#459—431no—
1017#459—431no—
1018#459C2×D4311yescharacteristic, complemented
1019#450—431no—
1020#450—431no—
1021#449—431no—
1022#449—431no—
1023#449C2×D4311yescharacteristic, complemented
1024#449C2×D4311yescharacteristic, complemented
1025#448—431no—
1026#448—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#447—431no—
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, complemented
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, complemented
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—861no—
1085C2×#41—861no—
1086C2×#41C22×D4311yescharacteristic
1087C22×Q8—431no—
1088C22×D4—431no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—861no—
1092C22×D4—861no—
1093C22×D4—861no—
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—431no—
1122C4⋊Q8—861no—
1123#127—431no—
1124#127—431no—
1125#127—431no—
1126#127—861no—
1127#127C22×D4311yescharacteristic
1128#126—431no—
1129#126—431no—
1130#126—861no—
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—861no—
1141#125—861no—
1142#125—861no—
1143#125C22×D4311yescharacteristic
1144#124—431no—
1145#124—431no—
1146#124—431no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124—861no—
1156#123—21no—
1157#123—21no—
1158#123—431no—
1159#123—431no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172C22⋊Q8—431no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181#121—21no—
1182#121—21no—
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—431no—
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#121C22×D4311yescharacteristic
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—861no—
1226C4×Q8—861no—
1227C4×Q8—861no—
1228C4×Q8C22×D4311yescharacteristic
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—431no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4C22×D4311yescharacteristic
1263C4×D4C22×D4311yescharacteristic
1264C4×D4C22×D4311yescharacteristic
1265C4×D4C22×D4311yescharacteristic
1266#117—21no—
1267#117—431no—
1268#117—431no—
1269#117—431no—
1270#117—431no—
1271#117—431no—
1272#117—861no—
1273#117—861no—
1274#117—861no—
1275#117—861no—
1276#117—861no—
1277#117—861no—
1278#117—861no—
1279#117C22×D4311yescharacteristic
1280C2×C4⋊C4—21no—
1281C2×C4⋊C4—431no—
1282C2×C4⋊C4—861no—
1283C2×C4⋊C4C22×D4311yescharacteristic
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
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—861no—
1362C24—861no—
1363C24—861no—
1364#41—22no—
1365#41—41no—
1366#41—862no—
1367#41—3442no—
1368#41—3442no—
1369#41—1721no—
1370C2×Q8—431no—
1371C2×Q8—431no—
1372C2×Q8—861no—
1373C2×Q8—861no—
1374C2×Q8—861no—
1375C2×Q8—862no—
1376C2×Q8—1721no—
1377C2×Q8C23×D4311yescharacteristic
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—431no—
1384C2×D4—431no—
1385C2×D4—431no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—431no—
1389C2×D4—862no—
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—861no—
1401C2×D4—861no—
1402C2×D4—862no—
1403C2×D4—862no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—3442no—
1411C2×D4—3442no—
1412C2×D4—3442no—
1413C2×D4—1721no—
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—21no—
1425C22×C4—431no—
1426C22×C4—431no—
1427C22×C4—431no—
1428C22×C4—431no—
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—22no—
1446SD16—434no—
1447SD16—862no—
1448SD16—862no—
1449SD16—862no—
1450SD16—1721no—
1451SD16—1721no—
1452D8—41no—
1453D8—41no—
1454D8—862no—
1455D8—862no—
1456D8—862no—
1457D8—862no—
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—21no—
1478C4⋊C4—21no—
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—431no—
1490C4⋊C4—431no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊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—431no—
1519C22⋊C4—431no—
1520C22⋊C4—431no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊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—431no—
1576C23—431no—
1577C23—861no—
1578C23—861no—
1579C23—861no—
1580C23—3441no—
1581C23—3441no—
1582C23—3441no—
1583C23—3441no—
1584C23—3441no—
1585C23—1722no—
1586C23—1722no—
1587C23—1722no—
1588C23—1722no—
1589C23C2×D4×D4311yescharacteristic
1590Q8—21no—
1591Q8—861no—
1592Q8—861no—
1593Q8—3441no—
1594Q8—3441no—
1595Q8—1721no—
1596Q8—1722no—
1597Q8#41×D4312yes—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—42no—
1605D4—81no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—432no—
1610D4—861no—
1611D4—861no—
1612D4—861no—
1613D4—861no—
1614D4—861no—
1615D4—3441no—
1616D4—3441no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—3441no—
1626D4—1721no—
1627D4—1722no—
1628D4—1722no—
1629D4—1722no—
1630D4—1721no—
1631D4—1721no—
1632D4—1722no—
1633D4—1722no—
1634D4—1722no—
1635D4—1722no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—42no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—431no—
1650C2×C4—431no—
1651C2×C4—431no—
1652C2×C4—431no—
1653C2×C4—431no—
1654C2×C4—431no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—861no—
1663C2×C4—861no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—3441no—
1672C2×C4—3441no—
1673C2×C4—1721no—
1674C2×C4—1721no—
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—21no—
1695C22—21no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—861no—
1706C22—861no—
1707C22—862no—
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—6882no—
1722C22—6882no—
1723C22C22×D4×D4311yescharacteristic
1724C4—21no—
1725C4—22no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—861no—
1735C4—861no—
1736C4—861no—
1737C4—861no—
1738C4—861no—
1739C4—861no—
1740C4—1721no—
1741C4—1721no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4C2×#41×D4311yescharacteristic
1746C4#1458373511yescharacteristic
1747C2—41no—
1748C2—81no—
1749C2—81no—
1750C2—81no—
1751C2—3441no—
1752C2—3441no—
1753C2—1721no—
1754C2—1721no—
1755C2—1722no—
1756C2#1914807811yescharacteristic
1757C2#1914937011yescharacteristic
1758C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3119C2
socleC22×C43C23×D4
hypercenter#3119D43
hypocenterC43#61504
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. #19148696C2semidirect
2. #19148625C2semidirect
3. #19147640C2semidirect
4. #19147543C2semidirect
5. #19147346C2semidirect
6. #19147328C2semidirect
7. #19147159C2semidirect
8. #19147098C2semidirect
9. #19147092C2semidirect
10. #19146845C2semidirect
11. #19146840C2semidirect
12. #19146785C2semidirect
13. #19146734C2semidirect
14. #19146614C2semidirect
15. #19146605C2semidirect
16. #19146208C2semidirect
17. #19146093C2semidirect
18. #19146085C2semidirect
19. #19145280C2semidirect
20. #19145243C2semidirect
21. #19145188C2semidirect
22. #19144883C2semidirect
23. #19144835C2semidirect
24. #19144781C2semidirect
25. #19144744C2semidirect
26. #19144731C2semidirect
27. #19143578C2semidirect
28. #19143451C2semidirect
29. #19143423C2semidirect
30. C4×#13063352C2semidirect
31. C43×#3119C2semidirect
36. #14583632C22semidirect
37. #14583628C22semidirect
39. #14583614C22semidirect
44. #14583597C22semidirect
48. #14583584C22semidirect
50. #14583568C22semidirect
51. #14583561C22semidirect
52. #14583556C22semidirect
60. #14583520C22semidirect
63. #14583500C22semidirect
68. #14583431C22semidirect
73. #14583375C22semidirect
76. C4×#10621902C22semidirect
78. #14583309C22semidirect
79. #14583307C22semidirect
80. #14583299C22semidirect
81. #14583287C22semidirect
82. #14583286C22semidirect
83. #14583274C22semidirect
84. #14583262C22semidirect
85. #14583262C22semidirect
86. #14583262C22semidirect
87. #14583257C22semidirect
88. #14583256C22semidirect
89. #14583245C22semidirect
90. #14583241C22semidirect
91. #14583231C22semidirect
92. #14583226C22semidirect
93. #14583226C22semidirect
94. #14583225C22semidirect
95. #14583224C22semidirect
96. #14583222C22semidirect
97. #14583222C22semidirect
98. #14583221C22semidirect
99. #14583211C22semidirect
100. #14583209C22semidirect
101. #14583204C22semidirect
104. #14583197C22semidirect
105. #14583197C22semidirect
107. #14583182C22semidirect
108. #14583180C22semidirect
109. #14583178C22semidirect
110. #14583153C22semidirect
111. #14583151C22semidirect
112. #14583150C22semidirect
113. #14583149C22semidirect
114. #14583149C22semidirect
115. #14583146C22semidirect
116. #14583144C22semidirect
117. #14583143C22semidirect
118. #14583134C22semidirect
119. #14583134C22semidirect
120. #14583133C22semidirect
121. #14583126C22semidirect
123. #14583115C22semidirect
125. #14583112C22semidirect
126. #14583098C22semidirect
127. #14583097C22semidirect
128. #14583097C22semidirect
130. #14583093C22semidirect
131. #14583092C22semidirect
134. #14583047C22semidirect
135. #14583043C22semidirect
136. #14583039C22semidirect
137. #14583036C22semidirect
142. #14583028C22semidirect
143. #14583026C22semidirect
144. #14583012C22semidirect
147. #14583009C22semidirect
148. #14583009C22semidirect
149. #14583008C22semidirect
152. #14583000C22semidirect
153. #14583000C22semidirect
154. #14582999C22semidirect
157. #14582997C22semidirect
158. #14582990C22semidirect
159. C4×#10621873C22semidirect
161. C4×#10621884C22semidirect
162. C4×#10621883C22semidirect
166. C4×#10621882C22semidirect
167. C4×#10621882C22semidirect
168. #14582976C22semidirect
169. #14582974C22semidirect
170. #14582973C22semidirect
171. #14582969C22semidirect
172. #14582967C22semidirect
173. #14582967C22semidirect
174. #14582958C22semidirect
175. #14582954C22semidirect
176. #14582939C22semidirect
177. #14582938C22semidirect
178. #14582936C22semidirect
179. #14582906C22semidirect
182. #14582899C22semidirect
183. #14582895C22semidirect
185. #14582856C22semidirect
186. #14582855C22semidirect
187. C4×#10621872C22semidirect
189. C43×#520C22semidirect
190. C43×#481C22semidirect
191. C43×#480C22semidirect
192. C43×#479C22semidirect
193. C43×#478C22semidirect
194. C43×#460C22semidirect
195. C43×#459C22semidirect
196. C43×#449C22semidirect
197. C43×#449C22semidirect
198. C43×#442C22semidirect
199. C43×#440C22semidirect
200. C4×SD16×C43C22semidirect
201. C4×D8×C43C22semidirect
202. C43×#433C22semidirect
608. #10621884#41semidirect
891. #3119D43semidirect
953. #520C2×D43semidirect
980. #481C2×D43semidirect
982. #480C2×D43semidirect
985. #479C2×D43semidirect
990. #478C2×D43semidirect
1014. #460C2×D43semidirect
1018. #459C2×D43semidirect
1023. #449C2×D43semidirect
1024. #449C2×D43semidirect
1039. #442C2×D43semidirect
1048. #440C2×D43semidirect
1055. C4×SD16C2×D43semidirect
1060. C4×D8C2×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
#191486962
#191486252
#191476402
#191475432
#191473462
#191473282
#191471592
#191470982
#191470922
#191468452
#191468402
#191467852
#191467342
#191466142
#191466052
#191462082
#191460932
#191460852
#191452802
#191452432
#191451882
#191448832
#191448352
#191447812
#191447442
#191447312
#191435782
#191434512
#191434232
C4×#130633522
C43×#31192
#6150443