Finite Group Databasebeta

← #25974922

Subgroups — #25974922

Order 11008.

2082 conjugacy classes of subgroups.

The subgroup lattice has 1834 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148441C211yesmaximal, characteristic, complemented
2#19148360C211yesmaximal, characteristic, complemented
3#19146785C211yesmaximal, characteristic, complemented
4#19146784C211yesmaximal, characteristic, complemented
5#19146777C211yesmaximal, characteristic, complemented
6#19146776C211yesmaximal, characteristic, complemented
7#19146771C211yesmaximal, characteristic, complemented
8#19146768C211yesmaximal, characteristic, complemented
9#19146763C211yesmaximal, characteristic, complemented
10#19146760C211yesmaximal, characteristic, complemented
11#19146608C211yesmaximal, characteristic, complemented
12#19146601C211yesmaximal, characteristic, complemented
13#19146600C211yesmaximal, characteristic, complemented
14#19146592C211yesmaximal, characteristic, complemented
15#19146587C211yesmaximal, characteristic, complemented
16#19146584C211yesmaximal, characteristic, complemented
17#19146579C211yesmaximal, characteristic, complemented
18#19144939C211yesmaximal, characteristic, complemented
19#19144570C211yesmaximal, characteristic, complemented
20#19144568C211yesmaximal, characteristic, complemented
21#19144398C211yesmaximal, characteristic, complemented
22#19144274C211yesmaximal, characteristic, complemented
23#19144272C211yesmaximal, characteristic, complemented
24#19144054C211yesmaximal, characteristic, complemented
25#19143878C211yesmaximal, characteristic, complemented
26#19143878C211yesmaximal, characteristic, complemented
27#440×D43C211yesmaximal, characteristic, complemented
28#19143309C211yesmaximal, characteristic, complemented
29#19143126C211yesmaximal, characteristic, complemented
30#19143124C211yesmaximal, characteristic, complemented
31C43×#3309C211yesmaximal, characteristic, complemented
32C2×#13063372C2211yescharacteristic
33C2×#13063372C2211yescharacteristic
34C2×#13063349C2211yescharacteristic
35C2×#13063349C2211yescharacteristic
36C2×SD16×D43C2211yescharacteristic
37C2×#13063333C2211yescharacteristic
38C2×#13063331C2211yescharacteristic
39#14583633—21no—
40#14583632—21no—
41#14583616—21no—
42#14583613C2211yescharacteristic
43#14583612C2211yescharacteristic
44#14583602C2211yescharacteristic
45#14583599C2211yescharacteristic
46#14583595C2211yescharacteristic
47#14583569—21no—
48#14583569C2211yescharacteristic, complemented
49#14583567—21no—
50Q8×D172C2211yescharacteristic, complemented
51D4×Dic86—21no—
52D4×Dic86C2211yescharacteristic, complemented
53#14583556C2211yescharacteristic, complemented
54#14583556C2211yescharacteristic, complemented
55#14583555—21no—
56#14583555—21no—
57#14583555C2211yescharacteristic, complemented
58#14583555C2211yescharacteristic, complemented
59#14583550C2211yescharacteristic
60#14583549C2211yescharacteristic
61#14583488—21no—
62#14583481—21no—
63#14583478—21no—
64#14583478—21no—
65#14583478C2211yescharacteristic
66#14583478C2211yescharacteristic
67#14583465C2211yescharacteristic
68#14583465C2211yescharacteristic
69#14583455C2211yescharacteristic
70#14583447—21no—
71#14583447C2211yescharacteristic
72#14583446—21no—
73#14583446C2211yescharacteristic
74#14583408—21no—
75#14583407—21no—
76#14583380C2211yescharacteristic
77#14583379C2211yescharacteristic
78C4×Q8×D43C2211yescharacteristic
79C4×D4×D43C2211yescharacteristic
80#14583269C2211yescharacteristic, complemented
81#14583268C2211yescharacteristic, complemented
82#14583263C2211yescharacteristic, complemented
83#14583257C2211yescharacteristic, complemented
84#14583257C2211yescharacteristic, complemented
85#14583257C2211yescharacteristic, complemented
86#14583257C2211yescharacteristic, complemented
87#14583243C2211yescharacteristic, complemented
88#14583242C2211yescharacteristic, complemented
89#14583241C2211yescharacteristic, complemented
90#14583240C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583235C2211yescharacteristic, complemented
94#14583234C2211yescharacteristic, complemented
95#14583222C2211yescharacteristic, complemented
96#14583221C2211yescharacteristic, complemented
97#14583220C2211yescharacteristic, complemented
98#14583211C2211yescharacteristic, complemented
99#14583211C2211yescharacteristic, complemented
100#14583210C2211yescharacteristic, complemented
101#14583207C2211yescharacteristic, complemented
102#14583206C2211yescharacteristic, complemented
103#14583203C2211yescharacteristic, complemented
104#14583193C2211yescharacteristic, complemented
105#14583192C2211yescharacteristic, complemented
106#14583183C2211yescharacteristic, complemented
107#14583182C2211yescharacteristic, complemented
108#14583151C2211yescharacteristic
109#14583150C2211yescharacteristic
110#14583149C2211yescharacteristic
111#14583146C2211yescharacteristic
112#14583145C2211yescharacteristic
113#14583144C2211yescharacteristic
114#14583143C2211yescharacteristic
115#14583134C2211yescharacteristic
116#14583133C2211yescharacteristic
117#14583132C2211yescharacteristic
118#14583129C2211yescharacteristic
119#14583128C2211yescharacteristic
120#14583127C2211yescharacteristic
121#14583126C2211yescharacteristic
122#14583113C2211yescharacteristic
123#14583113C2211yescharacteristic
124#14583112C2211yescharacteristic
125#14583112C2211yescharacteristic
126#14583105C2211yescharacteristic
127#14583104C2211yescharacteristic
128#14583091C2211yescharacteristic
129#14583045C2211yescharacteristic
130#14583045C2211yescharacteristic
131#14583044C2211yescharacteristic
132#14583044C2211yescharacteristic
133#14583041C2211yescharacteristic
134#14583041C2211yescharacteristic
135#14583040C2211yescharacteristic
136#14583040C2211yescharacteristic
137#14583039C2211yescharacteristic
138#14583039C2211yescharacteristic
139#14583037C2211yescharacteristic
140#14583037C2211yescharacteristic
141#14583036C2211yescharacteristic
142#14583036C2211yescharacteristic
143#14583002C2211yescharacteristic
144#14583001C2211yescharacteristic
145#14583000C2211yescharacteristic
146#14582999C2211yescharacteristic
147#14582998C2211yescharacteristic
148#14582997C2211yescharacteristic
149#14582996C2211yescharacteristic
150#14582973C2211yescharacteristic, complemented
151#14582972C2211yescharacteristic, complemented
152#14582971C2211yescharacteristic, complemented
153#14582970C2211yescharacteristic, complemented
154#14582969C2211yescharacteristic, complemented
155#14582968C2211yescharacteristic, complemented
156#14582967C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic
158#14582938C2211yescharacteristic
159#107×D43C2211yescharacteristic
160#14582921C2211yescharacteristic
161#14582909C2211yescharacteristic, complemented
162#14582907C2211yescharacteristic, complemented
163#14582906C2211yescharacteristic
164#14582906C2211yescharacteristic
165#14582906C2211yescharacteristic, complemented
166#14582906C2211yescharacteristic, complemented
167#14582900C2211yescharacteristic, complemented
168#14582897C2211yescharacteristic
169#14582897C2211yescharacteristic
170#14582897C2211yescharacteristic, complemented
171#14582897C2211yescharacteristic, complemented
172#14582895C2211yescharacteristic, complemented
173#14582892C2211yescharacteristic
174#14582892C2211yescharacteristic
175#14582892C2211yescharacteristic
176#14582892C2211yescharacteristic
177#14582892C2211yescharacteristic, complemented
178#14582892C2211yescharacteristic, complemented
179C2×#13063250C2211yescharacteristic, complemented
180C2×#13063248C2211yescharacteristic, complemented
181#103×D43C2211yescharacteristic
182#103×D43C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582864C2211yescharacteristic
187#97×D43C2211yescharacteristic
188C43×#553C2211yescharacteristic
189C43×#550C2211yescharacteristic, complemented
190C43×#490C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#480C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic
195C43×#466C2211yescharacteristic
196C43×#459C2211yescharacteristic
197C43×#449C2211yescharacteristic
198C43×#449C2211yescharacteristic
199C43×#440C2211yescharacteristic
200C43×#435C2211yescharacteristic, complemented
201C43×#417C2211yescharacteristic, complemented
202C43×#416C2211yescharacteristic, complemented
203#13063372—24no—
204#13063372—24no—
205#13063372—42no—
206#13063372—42no—
207C2×#10621898—21no—
208C2×#10621898—21no—
209C2×#10621898—21no—
210C2×#10621898C2311yescharacteristic
211C2×#10621898C2311yescharacteristic
212C2×#10621900—21no—
213C2×#10621900—21no—
214C2×#10621900—21no—
215C2×#10621900—21no—
216C2×#10621900—21no—
217C2×#10621900C2311yescharacteristic
218C2×#10621900C2311yescharacteristic
219C2×#10621900C2311yescharacteristic
220C2×#10621900C2311yescharacteristic
221C22×Dic86—21no—
222C22×Dic86—21no—
223C22×Dic86C2311yescharacteristic
224C22×Dic86C2311yescharacteristic
225C2×Q8×D43C2311yescharacteristic
226C2×Q8×D43C2311yescharacteristic
227C2×Q8×D43C2311yescharacteristic
228C2×D4×D43C2311yescharacteristic
229C22×C4×D43—21no—
230#13063349—42no—
231#13063349—42no—
232C2×#10621873C2311yescharacteristic
233C2×#10621873C2311yescharacteristic
234C2×#10621873C2311yescharacteristic
235C2×#10621883C2311yescharacteristic
236C2×#10621883C2311yescharacteristic
237C2×#10621883C2311yescharacteristic
238C2×#10621884C2311yescharacteristic
239SD16×D43—24no—
240C2×#10621882C2311yescharacteristic
241C2×#10621882C2311yescharacteristic
242#13063333—42no—
243#13063331—42no—
244C2×#10621877C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247C2×#10621872C2311yescharacteristic
248C2×#10621872C2311yescharacteristic
249C22×C43⋊C8C2311yescharacteristic
250C2×C8×D43C2311yescharacteristic
251C2×C8×D43C2311yescharacteristic
252C2×C8×D43C2311yescharacteristic
253C2×C8×D43C2311yescharacteristic
254#13063325—21no—
255#13063325C2311yescharacteristic
256#13063324—21no—
257#13063324D411yescharacteristic
258#13063324C2311yescharacteristic
259#13063324C2311yescharacteristic
260#13063321—21no—
261#13063321—21no—
262#13063321—21no—
263#13063321D411yescharacteristic
264#13063320—21no—
265#13063320—21no—
266#13063318—21no—
267#13063317C2311yescharacteristic
268#13063313—21no—
269#13063312—21no—
270#13063312—21no—
271#13063312—21no—
272#13063312C2311yescharacteristic
273#13063312C2311yescharacteristic
274#13063311—21no—
275#13063311—21no—
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063311D411yescharacteristic
281#13063311D411yescharacteristic
282#13063310—21no—
283#13063310—21no—
284#13063308—21no—
285#13063308—21no—
286#13063307—21no—
287#13063307—21no—
288#13063306—21no—
289#13063305—21no—
290#13063305—21no—
291#13063305C2311yescharacteristic
292#13063305C2311yescharacteristic
293#13063304—21no—
294#13063304—21no—
295#13063304C2311yescharacteristic
296#13063304C2311yescharacteristic
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302—21no—
306#13063302—21no—
307#13063300—21no—
308#13063300D411yescharacteristic
309#13063300C2311yescharacteristic
310#13063300C2311yescharacteristic
311#13063299C2311yescharacteristic
312#13063299C2311yescharacteristic
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063298—21no—
317#13063298D411yescharacteristic
318#13063298D411yescharacteristic
319#13063297—21no—
320#13063297—21no—
321#13063297—21no—
322#13063297—21no—
323#13063297—21no—
324#13063297—21no—
325#13063297—21no—
326#13063297—21no—
327#13063296—21no—
328#13063296—21no—
329#13063296—21no—
330#13063296—21no—
331#13063296—21no—
332#13063296—21no—
333#13063296D411yescharacteristic
334#13063296C2311yescharacteristic
335#13063296C2311yescharacteristic
336#13063296C2311yescharacteristic
337#13063296C2311yescharacteristic
338#13063295—21no—
339#13063295—21no—
340#13063293—21no—
341#13063293—21no—
342Q8×Dic43C2311yescharacteristic
343C4×Dic86—21no—
344C4×Dic86—21no—
345C4×Dic86C2311yescharacteristic
346#13063290—21no—
347#13063290—21no—
348#13063290—21no—
349#13063290—21no—
350#13063290C2311yescharacteristic
351C4×D172—21no—
352C4×D172—21no—
353C4×D172C2311yescharacteristic
354C4×D172C2311yescharacteristic
355D4×Dic43—21no—
356D4×Dic43—21no—
357D4×Dic43—21no—
358D4×Dic43—21no—
359D4×Dic43—21no—
360D4×Dic43—21no—
361D4×Dic43C2311yescharacteristic
362#13063287—21no—
363#13063287—21no—
364#13063287C2311yescharacteristic
365C4×C22⋊D43—21no—
366C4×C22⋊D43—21no—
367C4×C22⋊D43—21no—
368C4×C22⋊D43—21no—
369C4×C22⋊D43—21no—
370C4×C22⋊D43—21no—
371C4×C22⋊D43C2311yescharacteristic
372C4×C22⋊D43C2311yescharacteristic
373(C22⋊D43)⋊C4—21no—
374(C22⋊D43)⋊C4—21no—
375(C22⋊D43)⋊C4—21no—
376(C22⋊D43)⋊C4—21no—
377#13063284C2311yescharacteristic
378#13063283C2311yescharacteristic
379#13063283C2311yescharacteristic
380#13063283C2311yescharacteristic
381#13063283C2311yescharacteristic
382#13063282—21no—
383#13063281—21no—
384C2×C4⋊Dic43C2311yescharacteristic
385C4⋊C4×D43—21no—
386C4⋊C4×D43C2311yescharacteristic
387C4⋊C4×D43C2311yescharacteristic
388C4⋊C4×D43C2311yescharacteristic
389C4⋊C4×D43C2311yescharacteristic
390C22⋊C4×D43—21no—
391C42×D43—21no—
392C42×D43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063248C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063246C2311yescharacteristic
432#13063246C2311yescharacteristic
433#13063246C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441#13063236C2311yescharacteristic
442#13063235C2311yescharacteristic
443#13063235C2311yescharacteristic
444C2×#41×C43C2311yescharacteristic
445C2×#41×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×D8×C43C2311yescharacteristic
448C2×D8×C43C2311yescharacteristic
449C2×M16×C43C2311yescharacteristic
450C22×C8×C43C2311yescharacteristic
451#127×C43—21no—
452#127×C43C2311yescharacteristic
453#126×C43—21no—
454#125×C43C2311yescharacteristic
455#123×C43—21no—
456#121×C43—21no—
457#121×C43—21no—
458#121×C43—21no—
459#121×C43C2311yescharacteristic
460#121×C43C2311yescharacteristic
461#121×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463C4×Q8×C43C2311yescharacteristic
464C4×D4×C43—21no—
465C4×D4×C43—21no—
466C4×D4×C43C2311yescharacteristic
467C4×D4×C43C2311yescharacteristic
468#117×C43C2311yescharacteristic
469C2×C4⋊C4×C43C2311yescharacteristic
470#107×C43C2311yescharacteristic
471#107×C43C2311yescharacteristic
472#106×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486#97×C43C2311yescharacteristic
487C23×D43—21no—
488#41×C43—22no—
489#41×C43—22no—
490#41×C43—41no—
491#41×C43—41no—
492C2×Q8×C43C2411yescharacteristic
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43C2×D411yescharacteristic
502C2×D4×C43C2411yescharacteristic
503C2×D4×C43C2411yescharacteristic
504C2×D4×C43C2411yescharacteristic
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43C2411yescharacteristic
510C22×C4×C43C2411yescharacteristic
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43C2×D411yescharacteristic
523C2×C22⋊D43C2×D411yescharacteristic
524C2×C22⋊D43C2×D411yescharacteristic
525C2×C22⋊D43C2×D411yescharacteristic
526C2×C22⋊D43C2×D411yescharacteristic
527C2×C22⋊D43C2×D411yescharacteristic
528C22×Dic43—21no—
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43—21no—
532C22×Dic43—21no—
533C22×Dic43—21no—
534C22×Dic43—21no—
535C22×Dic43—21no—
536Q8×D43—22no—
537Q8×D43—22no—
538Q8×D43—22no—
539Q8×D43—41no—
540Q8×D43—41no—
541Q8×D43#4114yescomplemented
542#10621900—22no—
543#10621900—22no—
544#10621900—22no—
545#10621900—22no—
546#10621900—22no—
547#10621900—22no—
548#10621900—41no—
549#10621900—41no—
550#10621900—44no—
551#10621900—44no—
552#10621900—44no—
553#10621900—44no—
554#10621900—82no—
555D4×D43—22no—
556D4×D43—22no—
557#10621898—22no—
558#10621898—22no—
559#10621898—22no—
560#10621898—22no—
561#10621898—44no—
562#10621898—44no—
563#10621898—82no—
564C2×D172—21no—
565C2×D172—21no—
566C2×D172C2×D411yescharacteristic
567C2×D172C2×D411yescharacteristic
568C2×D172C2×D411yescharacteristic
569C2×D172C2411yescharacteristic
570C2×C4×D43—21no—
571C2×C4×D43—21no—
572C2×C4×D43—21no—
573C2×C4×D43—21no—
574C2×C4×D43—21no—
575C2×C4×D43—21no—
576C2×C4×D43—21no—
577C2×C4×D43—21no—
578C2×C4×D43—21no—
579C2×C4×D43—82no—
580C2×C4×D43C2×D411yescharacteristic
581C2×C4×D43C2×D411yescharacteristic
582C2×C4×D43C2411yescharacteristic
583C2×C4×D43C2411yescharacteristic
584C2×C4×D43C2411yescharacteristic
585C2×Dic86—21no—
586C2×Dic86—22no—
587C2×Dic86—22no—
588C2×Dic86—21no—
589C2×Dic86—21no—
590C2×Dic86—21no—
591C2×Dic86—21no—
592C2×Dic86—21no—
593C2×Dic86—21no—
594C2×Dic86—41no—
595C2×Dic86—41no—
596C2×Dic86—44no—
597C2×Dic86—44no—
598C2×Dic86C2×D411yescharacteristic
599C2×Dic86C2×D411yescharacteristic
600C2×Dic86C2411yescharacteristic
601C2×Dic86C2411yescharacteristic
602C2×Dic86C2411yescharacteristic
603SD16×C43—22no—
604D8×C43—41no—
605D8×C43—41no—
606M16×C43—41no—
607C2×C8×C43—41no—
608C2×C8×C43C2411yescharacteristic
609C2×C8×C43C2411yescharacteristic
610C2×C8×C43C2411yescharacteristic
611C2×C8×C43C2411yescharacteristic
612C4⋊C4×C43—21no—
613C4⋊C4×C43—21no—
614C4⋊C4×C43—21no—
615C4⋊C4×C43—21no—
616C4⋊C4×C43C2×D411yescharacteristic
617C4⋊C4×C43C2411yescharacteristic
618C4⋊C4×C43C2411yescharacteristic
619C4⋊C4×C43C2411yescharacteristic
620C4⋊C4×C43C2411yescharacteristic
621C22⋊C4×C43—21no—
622C22⋊C4×C43—21no—
623C22⋊C4×C43—21no—
624C22⋊C4×C43—21no—
625C22⋊C4×C43—21no—
626C22⋊C4×C43—21no—
627C22⋊C4×C43C2×D411yescharacteristic
628C22⋊C4×C43C2×D411yescharacteristic
629C42×C43—21no—
630C42×C43—21no—
631C42×C43C2411yescharacteristic
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43—21no—
636C22⋊Dic43—21no—
637C22⋊Dic43—21no—
638C22⋊Dic43—21no—
639C22⋊Dic43—21no—
640C22⋊Dic43—21no—
641C22⋊Dic43—21no—
642C22⋊Dic43—21no—
643C22⋊Dic43—21no—
644C22⋊Dic43C2×D411yescharacteristic
645C22⋊Dic43C2×D411yescharacteristic
646#10621884—22no—
647#10621883—22no—
648#10621883—41no—
649#10621883—41no—
650#10621882—41no—
651#10621882—41no—
652(C2×D43)⋊C4—21no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4—21no—
657(C2×D43)⋊C4—21no—
658(C2×D43)⋊C4—21no—
659(C2×D43)⋊C4—21no—
660(C2×D43)⋊C4—21no—
661(C2×D43)⋊C4—21no—
662(C2×D43)⋊C4—21no—
663(C2×D43)⋊C4—21no—
664(C2×D43)⋊C4C2×D411yescharacteristic
665(C2×D43)⋊C4C2×D411yescharacteristic
666(C2×D43)⋊C4C2×D411yescharacteristic
667(C2×D43)⋊C4C2×D411yescharacteristic
668C4⋊Dic43—21no—
669C4⋊Dic43—21no—
670C4⋊Dic43—21no—
671C4⋊Dic43—21no—
672C4⋊Dic43—21no—
673C4⋊Dic43—21no—
674C4⋊Dic43C2×D411yescharacteristic
675C4⋊Dic43C2411yescharacteristic
676C4⋊Dic43C2411yescharacteristic
677C4⋊Dic43C2411yescharacteristic
678C4⋊Dic43C2411yescharacteristic
679Dic43⋊C4—21no—
680Dic43⋊C4—21no—
681Dic43⋊C4—21no—
682Dic43⋊C4—21no—
683Dic43⋊C4—21no—
684Dic43⋊C4—21no—
685Dic43⋊C4—21no—
686Dic43⋊C4—21no—
687Dic43⋊C4—21no—
688Dic43⋊C4—21no—
689Dic43⋊C4—21no—
690Dic43⋊C4—21no—
691Dic43⋊C4C2×D411yescharacteristic
692Dic43⋊C4C2×D411yescharacteristic
693C4×Dic43—21no—
694C4×Dic43—21no—
695C4×Dic43—21no—
696C4×Dic43—21no—
697C4×Dic43—21no—
698C4×Dic43—21no—
699C4×Dic43—21no—
700C4×Dic43—21no—
701C4×Dic43C2×D411yescharacteristic
702C4×Dic43C2×D411yescharacteristic
703C4×Dic43C2411yescharacteristic
704#10621877—41no—
705C2×C43⋊C8—41no—
706C2×C43⋊C8C2411yescharacteristic
707C2×C43⋊C8C2411yescharacteristic
708C2×C43⋊C8C2411yescharacteristic
709C2×C43⋊C8C2411yescharacteristic
710#10621873—22no—
711#10621873—41no—
712#10621873—41no—
713#10621872—22no—
714#10621872—22no—
715#10621872—41no—
716#10621872—41no—
717C8×D43—22no—
718C8×D43—22no—
719C8×D43—41no—
720C8×D43—41no—
721C23×C43—21no—
722C23×C43—21no—
723C23×C43—21no—
724C23×C43C22×D411yescharacteristic
725C23×C43C22×D411yescharacteristic
726C22×D43—21no—
727C22×D43—42no—
728C22×D43—81no—
729C22×D43—81no—
730C22×D43C22×D411yescharacteristic
731C22×D43C22×D411yescharacteristic
732C22×D43C22×D411yescharacteristic
733Q8×C43—21no—
734Q8×C43C2×#4112yes—
735D4×C43—21no—
736D4×C43—21no—
737D4×C43—21no—
738D4×C43—21no—
739D4×C43—21no—
740D4×C43—21no—
741D4×C43—41no—
742D4×C43—42no—
743D4×C43—42no—
744D4×C43—42no—
745D4×C43—81no—
746D4×C43—81no—
747D4×C43—81no—
748D4×C43—81no—
749D4×C43—81no—
750C2×C4×C43—21no—
751C2×C4×C43—21no—
752C2×C4×C43—21no—
753C2×C4×C43—21no—
754C2×C4×C43—21no—
755C2×C4×C43—21no—
756C2×C4×C43—21no—
757C2×C4×C43—21no—
758C2×C4×C43—21no—
759C2×C4×C43—42no—
760C2×C4×C43—42no—
761C2×C4×C43—81no—
762C2×C4×C43—81no—
763C2×C4×C43C22×D411yescharacteristic
764C2×C4×C43C22×D411yescharacteristic
765C2×C4×C43C22×D411yescharacteristic
766C2×C4×C43C22×D411yescharacteristic
767C2×C4×C43C2511yescharacteristic
768C22⋊D43—22no—
769C22⋊D43—22no—
770C22⋊D43—22no—
771C22⋊D43—22no—
772C22⋊D43—41no—
773C22⋊D43—41no—
774C22⋊D43—42no—
775C22⋊D43—42no—
776C22⋊D43—42no—
777C22⋊D43—42no—
778C22⋊D43—42no—
779C22⋊D43—81no—
780C22⋊D43—81no—
781C22⋊D43—81no—
782C22⋊D43—81no—
783C22⋊D43—81no—
784C22⋊D43—81no—
785C2×Dic43—21no—
786C2×Dic43—21no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—42no—
793C2×Dic43—42no—
794C2×Dic43—42no—
795C2×Dic43—42no—
796C2×Dic43—42no—
797C2×Dic43—42no—
798C2×Dic43—42no—
799C2×Dic43—81no—
800C2×Dic43C22×D411yescharacteristic
801C2×Dic43C22×D411yescharacteristic
802C2×Dic43C22×D411yescharacteristic
803C2×Dic43C22×D411yescharacteristic
804C2×Dic43C22×D411yescharacteristic
805D172—22no—
806D172—22no—
807D172—21no—
808D172—21no—
809D172—41no—
810D172—81no—
811D172—81no—
812C4×D43—24no—
813C4×D43—21no—
814C4×D43—21no—
815C4×D43—21no—
816C4×D43—21no—
817C4×D43—41no—
818C4×D43—41no—
819C4×D43—42no—
820C4×D43—42no—
821C4×D43—42no—
822C4×D43—81no—
823C4×D43—81no—
824C4×D43—81no—
825C4×D43—81no—
826C4×D43—81no—
827C4×D43C2×#4112yes—
828C4×D43H(5,𝔽2)12yes—
829Dic86—21no—
830Dic86—24no—
831Dic86—22no—
832Dic86—22no—
833Dic86—21no—
834Dic86—21no—
835Dic86—21no—
836Dic86—21no—
837Dic86—42no—
838Dic86—42no—
839Dic86—42no—
840Dic86—42no—
841Dic86—42no—
842Dic86—81no—
843Dic86C2×#4112yes—
844C8×C43—21no—
845C8×C43—21no—
846C8×C43—21no—
847C8×C43—21no—
848C43⋊C8—21no—
849C43⋊C8—21no—
850C43⋊C8—21no—
851C43⋊C8—21no—
852#61220—431nomaximal, Sylow
853C22×C43—21no—
854C22×C43—21no—
855C22×C43—21no—
856C22×C43—21no—
857C22×C43—21no—
858C22×C43—21no—
859C22×C43—41no—
860C22×C43—41no—
861C22×C43—41no—
862C22×C43—41no—
863C22×C43—41no—
864C22×C43—41no—
865C22×C43—41no—
866C22×C43—41no—
867C22×C43—41no—
868C22×C43C23×D411yescharacteristic
869C2×D43—21no—
870C2×D43—21no—
871C2×D43—21no—
872C2×D43—21no—
873C2×D43—21no—
874C2×D43—21no—
875C2×D43—21no—
876C2×D43—21no—
877C2×D43—41no—
878C2×D43—41no—
879C2×D43—41no—
880C2×D43—84no—
881C2×D43#54612yes—
882C4×C43—21no—
883C4×C43—21no—
884C4×C43—22no—
885C4×C43—21no—
886C4×C43—21no—
887C4×C43—41no—
888C4×C43—41no—
889C4×C43—41no—
890C4×C43—41no—
891C4×C43C22×#4111yescharacteristic
892C4×C43C2×H(5,𝔽2)11yescharacteristic
893Dic43—21no—
894Dic43—21no—
895Dic43—22no—
896Dic43—21no—
897Dic43—21no—
898Dic43—41no—
899Dic43—41no—
900Dic43—41no—
901Dic43—41no—
902Dic43—41no—
903Dic43—41no—
904Dic43#54612yes—
905#3506—431no—
906#3497—431no—
907#3321—431no—
908#3321—431no—
909#3321—431no—
910#3321—431no—
911#3320—431no—
912#3320—431no—
913#3320—431no—
914#3320—431no—
915#3309—431no—
916#3309—431no—
917#3309—431no—
918#3309D4311yescharacteristic, complemented
919#3308—431no—
920#3308—431no—
921#3308—431no—
922#3308—431no—
923#3135—431no—
924#3098—431no—
925#3098—431no—
926#3078—431no—
927#3062—431no—
928#3062—431no—
929#3036—431no—
930#3010—431no—
931#3010—431no—
932C2×#440—431no—
933#2932—431no—
934#2898—431no—
935#2898—431no—
936C2×C43—41no—
937C2×C43—41no—
938C2×C43—81no—
939C2×C43—81no—
940C2×C43—81no—
941C2×C43C2×#54611yescharacteristic
942C2×C43#358511yescharacteristic
943C2×C43#358611yescharacteristic
944D43—22no—
945D43—41no—
946D43—41no—
947D43—81no—
948C2×2−1+4—431no—
949C2×2−1+4—431no—
950C2×AGL(1,ℤ/8)—431no—
951C2×AGL(1,ℤ/8)—431no—
952C22×SD16—431no—
953C2×#131—431no—
954C2×#131—431no—
955#559—861no—
956#559—861no—
957#556—861no—
958#555—431no—
959#555—431no—
960#553—431no—
961#553—431no—
962#553—431no—
963#553C2×D4311yescharacteristic
964#550—431no—
965#550—861no—
966#550—861no—
967#550C2×D4311yescharacteristic, complemented
968D4×Q8—431no—
969D4×Q8—431no—
970D4×Q8—861no—
971#548—431no—
972#548—431no—
973#548—431no—
974#548—431no—
975#548—861no—
976#548—861no—
977#547—431no—
978#547—431no—
979#538—861no—
980#538—861no—
981#537—431no—
982#537—431no—
983#537—861no—
984#537—861no—
985#535—431no—
986#535—431no—
987#533—431no—
988#532—431no—
989#532—431no—
990#532—861no—
991#532—861no—
992#525—861no—
993#525—861no—
994#520—431no—
995#520—431no—
996C2×C4×Q8—431no—
997C2×C4×D4—431no—
998#491—431no—
999#491—431no—
1000#490—431no—
1001#490C2×D4311yescharacteristic, complemented
1002#489—431no—
1003#489—431no—
1004#489—431no—
1005#489—431no—
1006#485—431no—
1007#485—431no—
1008#485—431no—
1009#485—431no—
1010#484—431no—
1011#484—431no—
1012#484—431no—
1013#484—431no—
1014#482—431no—
1015#482—431no—
1016#482—431no—
1017#482C2×D4311yescharacteristic, complemented
1018#480—431no—
1019#480—431no—
1020#480—431no—
1021#480C2×D4311yescharacteristic, complemented
1022#479—431no—
1023#479—431no—
1024#479—431no—
1025#479C2×D4311yescharacteristic, complemented
1026#477—431no—
1027#477—431no—
1028#475—431no—
1029#475—431no—
1030#469—431no—
1031#469—431no—
1032#469—431no—
1033#469C2×D4311yescharacteristic
1034#468—431no—
1035#468—431no—
1036#468—431no—
1037#468—431no—
1038#466—431no—
1039#466—431no—
1040#466—431no—
1041#466C2×D4311yescharacteristic
1042#465—431no—
1043#465—431no—
1044#465—431no—
1045#465—431no—
1046#463—431no—
1047#463—431no—
1048#463—431no—
1049#463—431no—
1050#461—431no—
1051#461—431no—
1052#459—431no—
1053#459C2×D4311yescharacteristic
1054#449—431no—
1055#449—431no—
1056#449—431no—
1057#449—431no—
1058#449—431no—
1059#449—431no—
1060#449C2×D4311yescharacteristic
1061#449C2×D4311yescharacteristic
1062#448—431no—
1063#448—431no—
1064#448—431no—
1065#448—431no—
1066#448—431no—
1067#448—431no—
1068#448—431no—
1069#448—431no—
1070#440—431no—
1071#440—431no—
1072#440—431no—
1073#440—431no—
1074#440—431no—
1075#440—431no—
1076#440—431no—
1077#440C2×D4311yescharacteristic
1078#435—431no—
1079#435—431no—
1080#435—431no—
1081#435—431no—
1082#435—431no—
1083#435—431no—
1084#435—431no—
1085#435C2×D4311yescharacteristic, complemented
1086#428—431no—
1087#428—431no—
1088C2×#107—431no—
1089#423—431no—
1090#419—431no—
1091#419—431no—
1092#419—431no—
1093#419—431no—
1094#419—431no—
1095#419—431no—
1096#417—431no—
1097#417—431no—
1098#417—431no—
1099#417—431no—
1100#417—431no—
1101#417C2×D4311yescharacteristic, complemented
1102#416—431no—
1103#416—431no—
1104#416—431no—
1105#416—431no—
1106#416—431no—
1107#416—431no—
1108#416—431no—
1109#416C2×D4311yescharacteristic, complemented
1110C2×#103—431no—
1111C2×#103—431no—
1112C2×#103—431no—
1113C2×#103—431no—
1114C2×#103—431no—
1115C2×#102—431no—
1116#408—431no—
1117#408—431no—
1118C2×#97—431no—
1119C43#6122011yescharacteristic, complemented, Sylow
11202−1+4—864no—
11212−1+4—864no—
11222−1+4—1722no—
11232−1+4—1722no—
1124C2×#41—431no—
1125C2×#41—431no—
1126C2×#41—431no—
1127C2×#41—431no—
1128C2×#41—431no—
1129C2×#41—431no—
1130C2×#41—861no—
1131C2×#41—861no—
1132C2×#41—861no—
1133C2×#41—861no—
1134C2×#41—861no—
1135C2×#41—861no—
1136C2×#41—861no—
1137C2×#41—861no—
1138C2×#41C22×D4311yescharacteristic
1139C2×#41C22×D4311yescharacteristic
1140C22×Q8—431no—
1141C22×Q8—431no—
1142C22×Q8—431no—
1143C22×Q8—431no—
1144C22×Q8—431no—
1145C22×Q8—861no—
1146C22×Q8—861no—
1147C22×D4—431no—
1148C23×C4—861no—
1149AGL(1,ℤ/8)—1722no—
1150AGL(1,ℤ/8)—1722no—
1151C2×SD16—431no—
1152C2×SD16—431no—
1153C2×SD16—431no—
1154C2×SD16—431no—
1155C2×SD16—431no—
1156C2×SD16—431no—
1157C2×SD16—431no—
1158C2×SD16—864no—
1159C2×SD16C22×D4311yescharacteristic
1160C2×D8—431no—
1161C2×D8—431no—
1162C2×D8C22×D4311yescharacteristic
1163C2×D8C22×D4311yescharacteristic
1164#131—1722no—
1165#131—1722no—
1166C2×M16—431no—
1167C2×M16—431no—
1168C2×M16—431no—
1169C2×M16—431no—
1170C2×M16—431no—
1171C2×M16C22×D4311yescharacteristic
1172C22×C8—431no—
1173C22×C8—431no—
1174C22×C8—431no—
1175C22×C8—431no—
1176C22×C8—431no—
1177C22×C8C22×D4311yescharacteristic
1178C4⋊Q8—431no—
1179C4⋊Q8—431no—
1180C4⋊Q8—431no—
1181C4⋊Q8—431no—
1182C4⋊Q8—861no—
1183C4⋊Q8—861no—
1184#127—21no—
1185#127—431no—
1186#127—861no—
1187#127—861no—
1188#127—861no—
1189#127C22×D4311yescharacteristic
1190#126—21no—
1191#126—861no—
1192#126—861no—
1193#126—861no—
1194#125—431no—
1195#125C22×D4311yescharacteristic
1196#124—431no—
1197#124—431no—
1198#124—431no—
1199#124—431no—
1200#124—861no—
1201#124—861no—
1202#124—861no—
1203#124—861no—
1204#124—861no—
1205#124—861no—
1206#124—861no—
1207#124—861no—
1208#124—861no—
1209#124—861no—
1210#123—21no—
1211#123—861no—
1212#123—861no—
1213#123—861no—
1214#123—861no—
1215#123—861no—
1216#123—861no—
1217#123—861no—
1218C22⋊Q8—431no—
1219C22⋊Q8—431no—
1220C22⋊Q8—431no—
1221C22⋊Q8—431no—
1222C22⋊Q8—861no—
1223C22⋊Q8—861no—
1224C22⋊Q8—861no—
1225C22⋊Q8—861no—
1226C22⋊Q8—861no—
1227C22⋊Q8—861no—
1228C22⋊Q8—861no—
1229C22⋊Q8—861no—
1230C22⋊Q8—861no—
1231C22⋊Q8—861no—
1232C22⋊Q8—861no—
1233C22⋊Q8—861no—
1234C22⋊Q8—861no—
1235C22⋊Q8—861no—
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—431no—
1240#121—431no—
1241#121—431no—
1242#121—431no—
1243#121—431no—
1244#121—431no—
1245#121—431no—
1246#121—431no—
1247#121—431no—
1248#121—431no—
1249#121—431no—
1250#121—431no—
1251#121—861no—
1252#121—861no—
1253#121—861no—
1254#121—861no—
1255#121—861no—
1256#121—861no—
1257#121—861no—
1258#121—861no—
1259#121—861no—
1260#121—861no—
1261#121—861no—
1262#121—861no—
1263#121—861no—
1264#121—861no—
1265#121—861no—
1266#121—861no—
1267#121—861no—
1268#121—861no—
1269#121—861no—
1270#121C22×D4311yescharacteristic
1271#121C22×D4311yescharacteristic
1272#121C22×D4311yescharacteristic
1273#121C22×D4311yescharacteristic
1274#120—861no—
1275#120—861no—
1276#120—861no—
1277#120—861no—
1278C4×Q8—431no—
1279C4×Q8—431no—
1280C4×Q8—431no—
1281C4×Q8—861no—
1282C4×Q8—861no—
1283C4×Q8—861no—
1284C4×Q8—861no—
1285C4×Q8—861no—
1286C4×Q8—861no—
1287C4×Q8C22×D4311yescharacteristic
1288C4×D4—21no—
1289C4×D4—21no—
1290C4×D4—431no—
1291C4×D4—431no—
1292C4×D4—431no—
1293C4×D4—431no—
1294C4×D4—431no—
1295C4×D4—431no—
1296C4×D4—861no—
1297C4×D4—861no—
1298C4×D4—861no—
1299C4×D4—861no—
1300C4×D4—861no—
1301C4×D4—861no—
1302C4×D4—861no—
1303C4×D4—861no—
1304C4×D4—861no—
1305C4×D4—861no—
1306C4×D4—861no—
1307C4×D4—861no—
1308C4×D4—861no—
1309C4×D4—861no—
1310C4×D4—861no—
1311C4×D4—861no—
1312C4×D4—861no—
1313C4×D4—861no—
1314C4×D4—861no—
1315C4×D4—861no—
1316C4×D4C22×D4311yescharacteristic
1317C4×D4C22×D4311yescharacteristic
1318#117—431no—
1319#117—431no—
1320#117—431no—
1321#117—431no—
1322#117—431no—
1323#117—861no—
1324#117—861no—
1325#117C22×D4311yescharacteristic
1326C2×C4⋊C4—431no—
1327C2×C4⋊C4—431no—
1328C2×C4⋊C4—431no—
1329C2×C4⋊C4—431no—
1330C2×C4⋊C4—431no—
1331C2×C4⋊C4—861no—
1332C2×C4⋊C4C22×D4311yescharacteristic
1333C2×C22⋊C4—861no—
1334C2×C42—431no—
1335C2×C42—861no—
1336#107—431no—
1337#107—431no—
1338#107—431no—
1339#107—431no—
1340#107—431no—
1341#107—431no—
1342#107C22×D4311yescharacteristic
1343#107C22×D4311yescharacteristic
1344#106—431no—
1345#106—431no—
1346#106—431no—
1347#106C22×D4311yescharacteristic
1348C4⋊C8—431no—
1349C4⋊C8—431no—
1350C4⋊C8—431no—
1351C4⋊C8C22×D4311yescharacteristic
1352#103—431no—
1353#103—431no—
1354#103—431no—
1355#103—431no—
1356#103—431no—
1357#103—431no—
1358#103—431no—
1359#103—431no—
1360#103—431no—
1361#103—431no—
1362#103—431no—
1363#103—431no—
1364#103—431no—
1365#103—431no—
1366#103—431no—
1367#103—431no—
1368#103—431no—
1369#103—431no—
1370#103—431no—
1371#103—431no—
1372#103—431no—
1373#103C22×D4311yescharacteristic
1374#103C22×D4311yescharacteristic
1375#103C22×D4311yescharacteristic
1376#102—431no—
1377#102—431no—
1378#102—431no—
1379#102—431no—
1380#102—431no—
1381#102—431no—
1382#102—431no—
1383#102—431no—
1384#102—431no—
1385#102C22×D4311yescharacteristic
1386#102C22×D4311yescharacteristic
1387#102C22×D4311yescharacteristic
1388#102C22×D4311yescharacteristic
1389#102C22×D4311yescharacteristic
1390#102C22×D4311yescharacteristic
1391#102C22×D4311yescharacteristic
1392C22⋊C8—431no—
1393C22⋊C8—431no—
1394C22⋊C8—431no—
1395C22⋊C8—431no—
1396C22⋊C8—431no—
1397C22⋊C8—431no—
1398C22⋊C8C22×D4311yescharacteristic
1399C22⋊C8C22×D4311yescharacteristic
1400#97—431no—
1401#97—431no—
1402#97—431no—
1403#97C22×D4311yescharacteristic
1404C24—861no—
1405#41—22no—
1406#41—22no—
1407#41—41no—
1408#41—41no—
1409#41—862no—
1410#41—862no—
1411#41—862no—
1412#41—862no—
1413#41—862no—
1414#41—862no—
1415#41—862no—
1416#41—862no—
1417#41—862no—
1418#41—862no—
1419#41—3442no—
1420#41—3442no—
1421#41—1724no—
1422#41—1724no—
1423#41—1721no—
1424#41—1721no—
1425#41—1724no—
1426#41—1724no—
1427#41—1724no—
1428#41—1724no—
1429C2×Q8—431no—
1430C2×Q8—431no—
1431C2×Q8—434no—
1432C2×Q8—431no—
1433C2×Q8—431no—
1434C2×Q8—431no—
1435C2×Q8—861no—
1436C2×Q8—861no—
1437C2×Q8—861no—
1438C2×Q8—861no—
1439C2×Q8—861no—
1440C2×Q8—862no—
1441C2×Q8—862no—
1442C2×Q8—862no—
1443C2×Q8—861no—
1444C2×Q8—861no—
1445C2×Q8—862no—
1446C2×Q8—862no—
1447C2×Q8—1721no—
1448C2×Q8—1721no—
1449C2×Q8—1724no—
1450C2×Q8—1724no—
1451C2×Q8—1721no—
1452C2×Q8—1721no—
1453C2×Q8C23×D4311yescharacteristic
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—431no—
1463C2×D4—431no—
1464C2×D4—431no—
1465C2×D4—431no—
1466C2×D4—431no—
1467C2×D4—431no—
1468C2×D4—431no—
1469C2×D4—431no—
1470C2×D4—431no—
1471C2×D4—431no—
1472C2×D4—861no—
1473C2×D4—861no—
1474C2×D4—862no—
1475C2×D4—862no—
1476C2×D4—861no—
1477C2×D4—861no—
1478C2×D4—861no—
1479C2×D4—861no—
1480C2×D4—861no—
1481C2×D4—861no—
1482C2×D4—861no—
1483C2×D4—861no—
1484C2×D4—861no—
1485C2×D4—861no—
1486C2×D4—861no—
1487C2×D4D4×D4311yescharacteristic
1488C2×D4C23×D4311yescharacteristic
1489C2×D4C23×D4311yescharacteristic
1490C2×D4C23×D4311yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—431no—
1496C22×C4—431no—
1497C22×C4—431no—
1498C22×C4—431no—
1499C22×C4—431no—
1500C22×C4—861no—
1501C22×C4—861no—
1502C22×C4—861no—
1503C22×C4—861no—
1504C22×C4—861no—
1505C22×C4—861no—
1506C22×C4—861no—
1507C22×C4—861no—
1508C22×C4—861no—
1509C22×C4—861no—
1510C22×C4—861no—
1511C22×C4—861no—
1512C22×C4—861no—
1513C22×C4—861no—
1514C22×C4—861no—
1515C22×C4—861no—
1516C22×C4—861no—
1517C22×C4—3442no—
1518C22×C4C23×D4311yescharacteristic
1519C22×C4C23×D4311yescharacteristic
1520SD16—22no—
1521SD16—862no—
1522SD16—862no—
1523SD16—862no—
1524SD16—1721no—
1525SD16—1721no—
1526SD16—1721no—
1527SD16—1721no—
1528D8—41no—
1529D8—41no—
1530D8—1721no—
1531D8—1721no—
1532M16—41no—
1533M16—862no—
1534M16—862no—
1535M16—1721no—
1536M16—1721no—
1537M16—1721no—
1538C2×C8—41no—
1539C2×C8—431no—
1540C2×C8—431no—
1541C2×C8—431no—
1542C2×C8—431no—
1543C2×C8—862no—
1544C2×C8—862no—
1545C2×C8—1721no—
1546C2×C8—1721no—
1547C2×C8—1721no—
1548C2×C8C23×D4311yescharacteristic
1549C2×C8C23×D4311yescharacteristic
1550C2×C8C23×D4311yescharacteristic
1551C2×C8C23×D4311yescharacteristic
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—431no—
1557C4⋊C4—431no—
1558C4⋊C4—431no—
1559C4⋊C4—431no—
1560C4⋊C4—431no—
1561C4⋊C4—431no—
1562C4⋊C4—431no—
1563C4⋊C4—861no—
1564C4⋊C4—861no—
1565C4⋊C4—861no—
1566C4⋊C4—861no—
1567C4⋊C4—861no—
1568C4⋊C4—861no—
1569C4⋊C4—861no—
1570C4⋊C4—861no—
1571C4⋊C4—861no—
1572C4⋊C4—861no—
1573C4⋊C4—861no—
1574C4⋊C4—861no—
1575C4⋊C4—861no—
1576C4⋊C4—861no—
1577C4⋊C4—861no—
1578C4⋊C4—861no—
1579C4⋊C4—861no—
1580C4⋊C4—861no—
1581C4⋊C4D4×D4311yescharacteristic
1582C4⋊C4C23×D4311yescharacteristic
1583C4⋊C4C23×D4311yescharacteristic
1584C4⋊C4C23×D4311yescharacteristic
1585C4⋊C4C23×D4311yescharacteristic
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—431no—
1593C22⋊C4—431no—
1594C22⋊C4—431no—
1595C22⋊C4—431no—
1596C22⋊C4—431no—
1597C22⋊C4—431no—
1598C22⋊C4—861no—
1599C22⋊C4—861no—
1600C22⋊C4—861no—
1601C22⋊C4—861no—
1602C22⋊C4—861no—
1603C22⋊C4—861no—
1604C22⋊C4—861no—
1605C22⋊C4—861no—
1606C22⋊C4—861no—
1607C22⋊C4—861no—
1608C22⋊C4—861no—
1609C22⋊C4—861no—
1610C22⋊C4—861no—
1611C22⋊C4—861no—
1612C22⋊C4—861no—
1613C22⋊C4—861no—
1614C22⋊C4—861no—
1615C22⋊C4—861no—
1616C22⋊C4—861no—
1617C22⋊C4—861no—
1618C22⋊C4—861no—
1619C22⋊C4—861no—
1620C22⋊C4—861no—
1621C22⋊C4—861no—
1622C22⋊C4D4×D4311yescharacteristic
1623C22⋊C4D4×D4311yescharacteristic
1624C42—21no—
1625C42—21no—
1626C42—431no—
1627C42—431no—
1628C42—431no—
1629C42—861no—
1630C42—861no—
1631C42—861no—
1632C42—861no—
1633C42—861no—
1634C42—861no—
1635C42—861no—
1636C42—861no—
1637C42C23×D4311yescharacteristic
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—431no—
1642C23—431no—
1643C23—431no—
1644C23—861no—
1645C23—3441no—
1646C23—3441no—
1647C23—1722no—
1648C23C2×D4×D4311yescharacteristic
1649C23C2×D4×D4311yescharacteristic
1650Q8—21no—
1651Q8—432no—
1652Q8—864no—
1653Q8—862no—
1654Q8—862no—
1655Q8—861no—
1656Q8—861no—
1657Q8—861no—
1658Q8—861no—
1659Q8—861no—
1660Q8—3441no—
1661Q8—1722no—
1662Q8—1722no—
1663Q8—1722no—
1664Q8—1722no—
1665Q8—1722no—
1666Q8#41×D4312yes—
1667D4—21no—
1668D4—21no—
1669D4—21no—
1670D4—21no—
1671D4—21no—
1672D4—21no—
1673D4—41no—
1674D4—42no—
1675D4—42no—
1676D4—42no—
1677D4—81no—
1678D4—81no—
1679D4—81no—
1680D4—81no—
1681D4—81no—
1682D4—862no—
1683D4—862no—
1684D4—862no—
1685D4—862no—
1686D4—862no—
1687D4—862no—
1688D4—861no—
1689D4—861no—
1690D4—3441no—
1691D4—3441no—
1692D4—3441no—
1693D4—3441no—
1694D4—3441no—
1695D4—3441no—
1696D4—3441no—
1697D4—3441no—
1698D4—1721no—
1699D4—1722no—
1700D4—1721no—
1701D4—1721no—
1702D4—1722no—
1703D4—1722no—
1704D4—1722no—
1705D4—1722no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—42no—
1716C2×C4—42no—
1717C2×C4—81no—
1718C2×C4—81no—
1719C2×C4—431no—
1720C2×C4—432no—
1721C2×C4—432no—
1722C2×C4—431no—
1723C2×C4—431no—
1724C2×C4—431no—
1725C2×C4—431no—
1726C2×C4—864no—
1727C2×C4—861no—
1728C2×C4—861no—
1729C2×C4—861no—
1730C2×C4—861no—
1731C2×C4—861no—
1732C2×C4—861no—
1733C2×C4—861no—
1734C2×C4—861no—
1735C2×C4—861no—
1736C2×C4—861no—
1737C2×C4—861no—
1738C2×C4—3441no—
1739C2×C4—3441no—
1740C2×C4—3441no—
1741C2×C4—3441no—
1742C2×C4—3441no—
1743C2×C4—3441no—
1744C2×C4—1721no—
1745C2×C4—1721no—
1746C2×C4—1722no—
1747C2×C4—1722no—
1748C2×C4—1722no—
1749C2×C4—1722no—
1750C2×C4—1722no—
1751C2×C4—1722no—
1752C2×C4—1722no—
1753C2×C4—1722no—
1754C2×C4—1722no—
1755C2×C4—1722no—
1756C2×C4C2×D4×D4311yescharacteristic
1757C2×C4C2×D4×D4311yescharacteristic
1758C2×C4C2×D4×D4311yescharacteristic
1759C2×C4C2×D4×D4311yescharacteristic
1760C2×C4C24×D4311yescharacteristic
1761C8—21no—
1762C8—21no—
1763C8—21no—
1764C8—21no—
1765C8—861no—
1766C8—861no—
1767C8—861no—
1768C8—861no—
1769C22—21no—
1770C22—21no—
1771C22—21no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—432no—
1785C22—861no—
1786C22—861no—
1787C22—861no—
1788C22—861no—
1789C22—861no—
1790C22—861no—
1791C22—861no—
1792C22—861no—
1793C22—3444no—
1794C22—1721no—
1795C22—1721no—
1796C22—1721no—
1797C22C22×D4×D4311yescharacteristic
1798C4—21no—
1799C4—21no—
1800C4—22no—
1801C4—21no—
1802C4—21no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—432no—
1808C4—861no—
1809C4—861no—
1810C4—862no—
1811C4—861no—
1812C4—861no—
1813C4—1721no—
1814C4—1721no—
1815C4—1721no—
1816C4—1721no—
1817C4—1721no—
1818C4—1721no—
1819C4C2×#41×D4311yescharacteristic
1820C4H(5,𝔽2)×D4311yescharacteristic
1821C2—41no—
1822C2—41no—
1823C2—81no—
1824C2—81no—
1825C2—81no—
1826C2—862no—
1827C2—3441no—
1828C2—1721no—
1829C2—1721no—
1830C2#546×D4311yescharacteristic
1831C2#1914937011yescharacteristic
1832C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3309C2
socleC22×C43C23×D4
hypercenter#3309D43
hypocenterC43#61220
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3309

Complements

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

NH ≅ G/Ntype
1. #19148441C2semidirect
2. #19148360C2semidirect
3. #19146785C2semidirect
4. #19146784C2semidirect
5. #19146777C2semidirect
6. #19146776C2semidirect
7. #19146771C2semidirect
8. #19146768C2semidirect
9. #19146763C2semidirect
10. #19146760C2semidirect
11. #19146608C2semidirect
12. #19146601C2semidirect
13. #19146600C2semidirect
14. #19146592C2semidirect
15. #19146587C2semidirect
16. #19146584C2semidirect
17. #19146579C2semidirect
18. #19144939C2semidirect
19. #19144570C2semidirect
20. #19144568C2semidirect
21. #19144398C2semidirect
22. #19144274C2semidirect
23. #19144272C2semidirect
24. #19144054C2semidirect
25. #19143878C2semidirect
26. #19143878C2semidirect
27. #440×D43C2semidirect
28. #19143309C2semidirect
29. #19143126C2semidirect
30. #19143124C2semidirect
31. C43×#3309C2semidirect
48. #14583569C22semidirect
50. Q8×D172C22semidirect
52. D4×Dic86C22semidirect
53. #14583556C22semidirect
54. #14583556C22semidirect
57. #14583555C22semidirect
58. #14583555C22semidirect
80. #14583269C22semidirect
81. #14583268C22semidirect
82. #14583263C22semidirect
83. #14583257C22semidirect
84. #14583257C22semidirect
85. #14583257C22semidirect
86. #14583257C22semidirect
87. #14583243C22semidirect
88. #14583242C22semidirect
89. #14583241C22semidirect
90. #14583240C22semidirect
91. #14583236C22semidirect
92. #14583236C22semidirect
93. #14583235C22semidirect
94. #14583234C22semidirect
95. #14583222C22semidirect
96. #14583221C22semidirect
97. #14583220C22semidirect
98. #14583211C22semidirect
99. #14583211C22semidirect
100. #14583210C22semidirect
101. #14583207C22semidirect
102. #14583206C22semidirect
103. #14583203C22semidirect
104. #14583193C22semidirect
105. #14583192C22semidirect
106. #14583183C22semidirect
107. #14583182C22semidirect
150. #14582973C22semidirect
151. #14582972C22semidirect
152. #14582971C22semidirect
153. #14582970C22semidirect
154. #14582969C22semidirect
155. #14582968C22semidirect
156. #14582967C22semidirect
161. #14582909C22semidirect
162. #14582907C22semidirect
165. #14582906C22semidirect
166. #14582906C22semidirect
167. #14582900C22semidirect
170. #14582897C22semidirect
171. #14582897C22semidirect
172. #14582895C22semidirect
177. #14582892C22semidirect
178. #14582892C22semidirect
179. C2×#13063250C22semidirect
180. C2×#13063248C22semidirect
182. #103×D43C22semidirect
183. #103×D43C22semidirect
189. C43×#550C22semidirect
190. C43×#490C22semidirect
191. C43×#482C22semidirect
192. C43×#480C22semidirect
193. C43×#479C22semidirect
200. C43×#435C22semidirect
201. C43×#417C22semidirect
202. C43×#416C22semidirect
541. Q8×D43#41semidirect
918. #3309D43semidirect
967. #550C2×D43semidirect
1001. #490C2×D43semidirect
1017. #482C2×D43semidirect
1021. #480C2×D43semidirect
1025. #479C2×D43semidirect
1085. #435C2×D43semidirect
1101. #417C2×D43semidirect
1109. #416C2×D43semidirect
1119. C43#61220semidirect

Maximal subgroups

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

subgroupindex
#191484412
#191483602
#191467852
#191467842
#191467772
#191467762
#191467712
#191467682
#191467632
#191467602
#191466082
#191466012
#191466002
#191465922
#191465872
#191465842
#191465792
#191449392
#191445702
#191445682
#191443982
#191442742
#191442722
#191440542
#191438782
#440×D432
#191433092
#191431262
#191431242
C43×#33092
#6122043