Finite Group Databasebeta

← #25988939

Subgroups — #25988939

Order 11008.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1892 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148463C211yesmaximal, characteristic, complemented
2#19148082C211yesmaximal, characteristic, complemented
3#19147638C211yesmaximal, characteristic, complemented
4#19147632C211yesmaximal, characteristic, complemented
5#19147390C211yesmaximal, characteristic, complemented
6#19147384C211yesmaximal, characteristic, complemented
7#19146920C211yesmaximal, characteristic, complemented
8#19146918C211yesmaximal, characteristic, complemented
9#19146554C211yesmaximal, characteristic, complemented
10#19146552C211yesmaximal, characteristic, complemented
11#19146550C211yesmaximal, characteristic, complemented
12#19146212C211yesmaximal, characteristic, complemented
13#19146208C211yesmaximal, characteristic, complemented
14#19146080C211yesmaximal, characteristic, complemented
15#19146076C211yesmaximal, characteristic, complemented
16#19146072C211yesmaximal, characteristic, complemented
17#19146068C211yesmaximal, characteristic, complemented
18#19145975C211yesmaximal, characteristic, complemented
19#19145972C211yesmaximal, characteristic, complemented
20#19145906C211yesmaximal, characteristic, complemented
21#19145591C211yesmaximal, characteristic, complemented
22#19145587C211yesmaximal, characteristic, complemented
23#19145511C211yesmaximal, characteristic, complemented
24#19144684C211yesmaximal, characteristic, complemented
25#19144683C211yesmaximal, characteristic, complemented
26#19144600C211yesmaximal, characteristic, complemented
27#19144058C211yesmaximal, characteristic, complemented
28#19144057C211yesmaximal, characteristic, complemented
29C2×#14583093C211yesmaximal, characteristic, complemented
30#19143707C211yesmaximal, characteristic, complemented
31C43×#3306C211yesmaximal, characteristic, complemented
32C2×#41×D43—21no—
33C2×#13063353C2211yescharacteristic, complemented
34C2×#13063352C2211yescharacteristic, complemented
35C2×#13063350C2211yescharacteristic, complemented
36C2×#13063349C2211yescharacteristic, complemented
37C22×D344C2211yescharacteristic
38C22×#10621882C2211yescharacteristic
39#14583633—21no—
40#14583632C2211yescharacteristic, complemented
41#14583631C2211yescharacteristic, complemented
42#14583570C2211yescharacteristic, complemented
43#14583568C2211yescharacteristic, complemented
44#14583567—21no—
45#14583567C2211yescharacteristic, complemented
46#14583564C2211yescharacteristic, complemented
47#14583559—21no—
48#14583550C2211yescharacteristic
49#14583550C2211yescharacteristic, complemented
50#14583545C2211yescharacteristic, complemented
51#14583543C2211yescharacteristic, complemented
52#14583541—21no—
53#14583541—21no—
54#14583540C2211yescharacteristic, complemented
55#14583539—21no—
56#14583537—21no—
57#14583536—21no—
58D4×D172C2211yescharacteristic
59#14583533C2211yescharacteristic
60#14583533C2211yescharacteristic, complemented
61#14583501—21no—
62#14583499—21no—
63#14583464—21no—
64#14583451C2211yescharacteristic, complemented
65#14583450C2211yescharacteristic, complemented
66#14583448C2211yescharacteristic, complemented
67#14583446C2211yescharacteristic, complemented
68#14583445C2211yescharacteristic, complemented
69#14583444C2211yescharacteristic
70#14583444C2211yescharacteristic, complemented
71#14583444C2211yescharacteristic, complemented
72C2×#13063321C2211yescharacteristic, complemented
73#14583412—21no—
74#14583407—21no—
75#14583407—21no—
76#14583372—21no—
77C4×#10621900C2211yescharacteristic
78C2×#13063287C2211yescharacteristic
79C2×#13063287C2211yescharacteristic, complemented
80C4×D4×D43C2211yescharacteristic, complemented
81#14583289C2211yescharacteristic, complemented
82#14583288C2211yescharacteristic, complemented
83#14583287C2211yescharacteristic, complemented
84#14583285C2211yescharacteristic, complemented
85#14583274C2211yescharacteristic, complemented
86#14583274C2211yescharacteristic, complemented
87#14583261C2211yescharacteristic, complemented
88#14583260C2211yescharacteristic, complemented
89#14583257C2211yescharacteristic, complemented
90#14583244C2211yescharacteristic, complemented
91#14583244C2211yescharacteristic, complemented
92#14583229C2211yescharacteristic, complemented
93#14583219C2211yescharacteristic, complemented
94#14583217C2211yescharacteristic, complemented
95#14583216C2211yescharacteristic, complemented
96#14583188C2211yescharacteristic, complemented
97#14583188C2211yescharacteristic, complemented
98#14583188C2211yescharacteristic, complemented
99#14583188C2211yescharacteristic, complemented
100#14583187C2211yescharacteristic, complemented
101#14583187C2211yescharacteristic, complemented
102#14583186C2211yescharacteristic, complemented
103#14583183C2211yescharacteristic, complemented
104#14583182C2211yescharacteristic, complemented
105#14583153C2211yescharacteristic, complemented
106#14583153C2211yescharacteristic, complemented
107#14583152C2211yescharacteristic, complemented
108#14583151C2211yescharacteristic, complemented
109#14583151C2211yescharacteristic, complemented
110#14583150C2211yescharacteristic, complemented
111#14583150C2211yescharacteristic, complemented
112#14583130C2211yescharacteristic, complemented
113#14583128C2211yescharacteristic, complemented
114#14583126C2211yescharacteristic, complemented
115#14583117C2211yescharacteristic, complemented
116#14583117C2211yescharacteristic, complemented
117#14583115C2211yescharacteristic, complemented
118#14583114C2211yescharacteristic, complemented
119#14583113C2211yescharacteristic, complemented
120#14583113C2211yescharacteristic, complemented
121#14583111C2211yescharacteristic, complemented
122#14583103C2211yescharacteristic, complemented
123#14583103C2211yescharacteristic, complemented
124#14583103C2211yescharacteristic, complemented
125#14583102C2211yescharacteristic, complemented
126#14583098C2211yescharacteristic, complemented
127#14583097C2211yescharacteristic, complemented
128#14583095C2211yescharacteristic, complemented
129#14583094C2211yescharacteristic, complemented
130#14583093C2211yescharacteristic
131#14583093C2211yescharacteristic
132#14583093C2211yescharacteristic
133#14583093C2211yescharacteristic
134#14583093C2211yescharacteristic, complemented
135#14583093C2211yescharacteristic, complemented
136#14583093C2211yescharacteristic, complemented
137#14583093C2211yescharacteristic, complemented
138#14583093C2211yescharacteristic, complemented
139#14583093C2211yescharacteristic, complemented
140#14583093C2211yescharacteristic, complemented
141#14583092C2211yescharacteristic, complemented
142#14583092C2211yescharacteristic, complemented
143#14583092C2211yescharacteristic, complemented
144#14583052C2211yescharacteristic
145#14583049C2211yescharacteristic
146#14583047C2211yescharacteristic, complemented
147#14583047C2211yescharacteristic, complemented
148#14583046C2211yescharacteristic, complemented
149#14583045C2211yescharacteristic, complemented
150#14583045C2211yescharacteristic, complemented
151#14583044C2211yescharacteristic, complemented
152#14583042C2211yescharacteristic, complemented
153#14583035C2211yescharacteristic, complemented
154#14583035C2211yescharacteristic, complemented
155#14583034C2211yescharacteristic, complemented
156#14583033C2211yescharacteristic, complemented
157#14583032C2211yescharacteristic, complemented
158#14583032C2211yescharacteristic, complemented
159#14583031C2211yescharacteristic, complemented
160#14583028C2211yescharacteristic, complemented
161#14583027C2211yescharacteristic, complemented
162#14583012C2211yescharacteristic, complemented
163#14583010C2211yescharacteristic, complemented
164#14583010C2211yescharacteristic, complemented
165#14583009C2211yescharacteristic, complemented
166#14583009C2211yescharacteristic, complemented
167#14583008C2211yescharacteristic, complemented
168#14583008C2211yescharacteristic, complemented
169#14582986C2211yescharacteristic, complemented
170#14582986C2211yescharacteristic, complemented
171#14582984C2211yescharacteristic, complemented
172#14582984C2211yescharacteristic, complemented
173#14582975C2211yescharacteristic, complemented
174#14582974C2211yescharacteristic, complemented
175#14582971C2211yescharacteristic, complemented
176#14582970C2211yescharacteristic, complemented
177#14582967C2211yescharacteristic, complemented
178#14582954C2211yescharacteristic, complemented
179#14582953C2211yescharacteristic, complemented
180#14582949C2211yescharacteristic, complemented
181#14582922C2211yescharacteristic, complemented
182#14582921C2211yescharacteristic, complemented
183C2×Dic43⋊C8C2211yescharacteristic, complemented
184#14582899C2211yescharacteristic, complemented
185#14582898C2211yescharacteristic, complemented
186#14582897C2211yescharacteristic, complemented
187C2×#13063245C2211yescharacteristic, complemented
188C43×#547C2211yescharacteristic
189C43×#546C2211yescharacteristic, complemented
190C43×#489C2211yescharacteristic, complemented
191C43×#483C2211yescharacteristic, complemented
192C43×#481C2211yescharacteristic, complemented
193C43×#476C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#465C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic, complemented
198C43×#447C2211yescharacteristic, complemented
199C43×#442C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#417C2211yescharacteristic, complemented
202C2×#102×C43C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621898—21no—
207C2×#10621898—21no—
208C2×#10621898—21no—
209C2×#10621898C2311yescharacteristic
210C2×#10621900—21no—
211C2×#10621900—21no—
212C2×#10621900—21no—
213C2×#10621900D411yescharacteristic
214C2×#10621900C2311yescharacteristic
215#41×D43—48no—
216C2×Q8×D43—21no—
217C22×D172C2311yescharacteristic
218C22×D172C2311yescharacteristic
219C22×D172C2311yescharacteristic
220C22×C22⋊D43—21no—
221C22×C22⋊D43—21no—
222C2×D4×D43—21no—
223C2×D4×D43—21no—
224C2×D4×D43—21no—
225C2×D4×D43C2311yescharacteristic
226C22×C4×D43—21no—
227C22×C4×D43—21no—
228C22×C4×D43—21no—
229#13063353—42no—
230#13063352—42no—
231#13063350—42no—
232#13063349—42no—
233C2×#10621873C2311yescharacteristic
234C2×#10621873C2311yescharacteristic
235C2×#10621873C2311yescharacteristic
236C2×#10621883C2311yescharacteristic
237C2×#10621884C2311yescharacteristic
238C2×#10621884C2311yescharacteristic
239C2×#10621884C2311yescharacteristic
240C2×D344—42no—
241C2×D344C2311yescharacteristic
242C2×D344C2311yescharacteristic
243C2×D344C2311yescharacteristic
244C2×D344C2311yescharacteristic
245C2×D344C2311yescharacteristic
246C2×D344C2311yescharacteristic
247C2×#10621882—42no—
248C2×#10621882C2311yescharacteristic
249C2×#10621882C2311yescharacteristic
250C2×#10621882C2311yescharacteristic
251C2×#10621882C2311yescharacteristic
252C2×#10621882C2311yescharacteristic
253C2×#10621882C2311yescharacteristic
254C2×#10621882C2311yescharacteristic
255C2×#10621882C2311yescharacteristic
256C2×#10621877C2311yescharacteristic
257C2×#10621872C2311yescharacteristic
258C2×#10621872C2311yescharacteristic
259C22×C43⋊C8C2311yescharacteristic
260#13063324C2311yescharacteristic
261#13063324C2311yescharacteristic
262#13063324C2311yescharacteristic
263#13063323C2311yescharacteristic
264#13063322C2311yescharacteristic
265#13063321—21no—
266#13063321—21no—
267#13063321—21no—
268#13063321—21no—
269#13063321C2311yescharacteristic
270#13063321C2311yescharacteristic
271#13063321C2311yescharacteristic
272#13063321C2311yescharacteristic
273#13063321C2311yescharacteristic
274#13063321C2311yescharacteristic
275#13063315—21no—
276#13063314—21no—
277#13063314C2311yescharacteristic
278#13063313C2311yescharacteristic
279#13063312C2311yescharacteristic
280#13063311—21no—
281#13063311—21no—
282#13063311—21no—
283#13063311—21no—
284#13063311—21no—
285#13063311—21no—
286#13063310—21no—
287#13063310—21no—
288#13063310—21no—
289#13063310—21no—
290#13063309—21no—
291#13063308—21no—
292#13063308—21no—
293#13063308—21no—
294#13063307—21no—
295#13063307—21no—
296#13063306—21no—
297#13063304C2311yescharacteristic
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063303—21no—
302#13063302—21no—
303#13063301—21no—
304#13063300—21no—
305#13063300—21no—
306#13063300—21no—
307#13063300C2311yescharacteristic
308#13063300C2311yescharacteristic
309#13063300C2311yescharacteristic
310#13063299—21no—
311#13063299—21no—
312#13063299C2311yescharacteristic
313#13063299C2311yescharacteristic
314#13063299C2311yescharacteristic
315#13063298—21no—
316#13063298—21no—
317#13063298—21no—
318#13063298—21no—
319#13063298—21no—
320#13063298—21no—
321#13063298—21no—
322#13063298—21no—
323#13063298—21no—
324#13063297—21no—
325#13063297—21no—
326#13063297—21no—
327#13063297—21no—
328#13063297—21no—
329#13063297—21no—
330#13063297—21no—
331#13063296—21no—
332#13063296C2311yescharacteristic
333#13063295—21no—
334#13063295—21no—
335#13063295—21no—
336#13063295—21no—
337#13063295—21no—
338#13063294—21no—
339#13063293—21no—
340#13063293—21no—
341#13063293—21no—
342Q8×Dic43C2311yescharacteristic
343C4×Dic86C2311yescharacteristic
344#13063290—21no—
345#13063290D411yescharacteristic
346#13063290C2311yescharacteristic
347C4×D172C2311yescharacteristic
348C4×D172C2311yescharacteristic
349D4×Dic43D411yescharacteristic
350D4×Dic43C2311yescharacteristic
351D4×Dic43C2311yescharacteristic
352#13063287—21no—
353#13063287—21no—
354#13063287—21no—
355#13063287—21no—
356#13063287—21no—
357#13063287C2311yescharacteristic
358#13063287C2311yescharacteristic
359#13063287C2311yescharacteristic
360#13063287C2311yescharacteristic
361#13063287C2311yescharacteristic
362#13063287C2311yescharacteristic
363#13063287C2311yescharacteristic
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(C22⋊D43)⋊C4—21no—
378(C22⋊D43)⋊C4—21no—
379(C22⋊D43)⋊C4—21no—
380(C22⋊D43)⋊C4—21no—
381(C22⋊D43)⋊C4D411yescharacteristic
382(C22⋊D43)⋊C4D411yescharacteristic
383#13063283D411yescharacteristic
384#13063281—21no—
385#13063281D411yescharacteristic
386#13063281D411yescharacteristic
387C4⋊C4×D43C2311yescharacteristic
388C2×C22⋊Dic43—21no—
389C2×(C2×D43)⋊C4—21no—
390C2×(C2×D43)⋊C4—21no—
391C22⋊C4×D43—21no—
392C22⋊C4×D43—21no—
393C22⋊C4×D43—21no—
394C2×C4×Dic43C2311yescharacteristic
395C2×C4×Dic43C2311yescharacteristic
396C42×D43C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063256C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406Dic43⋊C8C2311yescharacteristic
407Dic43⋊C8C2311yescharacteristic
408Dic43⋊C8C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433C22⋊(C43⋊C8)C2311yescharacteristic
434C22⋊(C43⋊C8)C2311yescharacteristic
435(C2×D43)⋊C8C2311yescharacteristic
436(C2×D43)⋊C8C2311yescharacteristic
437#13063236C2311yescharacteristic
438#13063235C2311yescharacteristic
439#13063235C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C8×Dic43C2311yescharacteristic
442C2×#41×C43—21no—
443C2×#41×C43C2311yescharacteristic
444C22×D4×C43C2311yescharacteristic
445C2×SD16×C43C2311yescharacteristic
446C2×D8×C43C2311yescharacteristic
447C2×D8×C43C2311yescharacteristic
448C2×M16×C43C2311yescharacteristic
449C22×C8×C43C2311yescharacteristic
450C4⋊Q8×C43C2311yescharacteristic
451#124×C43C2311yescharacteristic
452#123×C43—21no—
453#123×C43—21no—
454#123×C43—21no—
455C22⋊Q8×C43—21no—
456C22⋊Q8×C43C2311yescharacteristic
457#121×C43—21no—
458#121×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460#121×C43C2311yescharacteristic
461#120×C43—21no—
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465C2×C4⋊C4×C43C2311yescharacteristic
466C2×C4⋊C4×C43C2311yescharacteristic
467C2×C22⋊C4×C43—21no—
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482C22⋊C8×C43C2311yescharacteristic
483C22⋊C8×C43C2311yescharacteristic
484#97×C43C2311yescharacteristic
485C24×C43—21no—
486C23×D43—21no—
487C23×D43—21no—
488C23×D43—21no—
489C23×D43—21no—
490#41×C43—41no—
491#41×C43—41no—
492#41×C43—44no—
493C2×Q8×C43—21no—
494C2×Q8×C43C2411yescharacteristic
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—41no—
501C2×D4×C43—41no—
502C2×D4×C43C2×D411yescharacteristic
503C2×D4×C43C2411yescharacteristic
504C2×D4×C43C2411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43—21no—
510C22×C4×C43—21no—
511C22×C4×C43C2411yescharacteristic
512C22×C4×C43C2411yescharacteristic
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⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—21no—
529C2×C22⋊D43—21no—
530C2×C22⋊D43—21no—
531C2×C22⋊D43—21no—
532C2×C22⋊D43—44no—
533C2×C22⋊D43—82no—
534C2×C22⋊D43C2×D411yescharacteristic
535C2×C22⋊D43C2×D411yescharacteristic
536C22×Dic43—21no—
537C22×Dic43—21no—
538C22×Dic43—21no—
539C22×Dic43C2×D411yescharacteristic
540C22×Dic43C2×D411yescharacteristic
541C22×Dic43C2×D411yescharacteristic
542C22×Dic43C2×D411yescharacteristic
543#10621902—44no—
544#10621902—41no—
545#10621902—41no—
546Q8×D43—44no—
547#10621900—24no—
548#10621900—41no—
549#10621900—41no—
550#10621900—44no—
551#10621900—44no—
552#10621900—82no—
553D4×D43—22no—
554D4×D43—41no—
555D4×D43—44no—
556D4×D43—44no—
557D4×D43—44no—
558#10621898—44no—
559#10621898—41no—
560#10621898—41no—
561#10621898—44no—
562#10621898—44no—
563#10621898—82no—
564C2×D172—21no—
565C2×D172—21no—
566C2×D172—21no—
567C2×D172—21no—
568C2×D172—21no—
569C2×D172—21no—
570C2×D172—21no—
571C2×D172—21no—
572C2×D172—21no—
573C2×D172—22no—
574C2×D172—22no—
575C2×D172—41no—
576C2×D172—41no—
577C2×D172—41no—
578C2×D172—41no—
579C2×D172C2411yescharacteristic
580C2×D172C2411yescharacteristic
581C2×D172C2411yescharacteristic
582C2×D172C2411yescharacteristic
583C2×D172C2411yescharacteristic
584C2×C4×D43—21no—
585C2×C4×D43—21no—
586C2×C4×D43—21no—
587C2×C4×D43—21no—
588C2×C4×D43—21no—
589C2×C4×D43—21no—
590C2×C4×D43—21no—
591C2×C4×D43—21no—
592C2×C4×D43—21no—
593C2×C4×D43—21no—
594C2×C4×D43—21no—
595C2×C4×D43—21no—
596C2×C4×D43—21no—
597C2×C4×D43—44no—
598C2×C4×D43—44no—
599C2×C4×D43—44no—
600C2×C4×D43C2×D411yescharacteristic
601C2×C4×D43C2×D411yescharacteristic
602C2×C4×D43C2411yescharacteristic
603C2×Dic86—21no—
604C2×Dic86—21no—
605C2×Dic86—21no—
606C2×Dic86C2×D411yescharacteristic
607C2×Dic86C2411yescharacteristic
608SD16×C43—41no—
609D8×C43—41no—
610D8×C43—41no—
611M16×C43—41no—
612C2×C8×C43—41no—
613C2×C8×C43C2411yescharacteristic
614C2×C8×C43C2411yescharacteristic
615C2×C8×C43C2411yescharacteristic
616C2×C8×C43C2411yescharacteristic
617C4⋊C4×C43—21no—
618C4⋊C4×C43—21no—
619C4⋊C4×C43—21no—
620C4⋊C4×C43—21no—
621C4⋊C4×C43C2×D411yescharacteristic
622C4⋊C4×C43C2411yescharacteristic
623C4⋊C4×C43C2411yescharacteristic
624C4⋊C4×C43C2411yescharacteristic
625C4⋊C4×C43C2411yescharacteristic
626C22⋊C4×C43—21no—
627C22⋊C4×C43—21no—
628C22⋊C4×C43—21no—
629C22⋊C4×C43—21no—
630C22⋊C4×C43—21no—
631C22⋊C4×C43—21no—
632C22⋊C4×C43—21no—
633C22⋊C4×C43—21no—
634C22⋊C4×C43C2×D411yescharacteristic
635C22⋊C4×C43C2×D411yescharacteristic
636C42×C43C2411yescharacteristic
637C22⋊Dic43—21no—
638C22⋊Dic43—21no—
639C22⋊Dic43—21no—
640C22⋊Dic43—21no—
641C22⋊Dic43—21no—
642C22⋊Dic43—21no—
643C22⋊Dic43C2×D411yescharacteristic
644C22⋊Dic43C2×D411yescharacteristic
645#10621884—22no—
646#10621884—41no—
647#10621884—41no—
648#10621883—41no—
649#10621882—22no—
650#10621882—22no—
651#10621882—41no—
652#10621882—41no—
653#10621882—41no—
654#10621882—41no—
655#10621882—41no—
656#10621882—41no—
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)⋊C4—21no—
665(C2×D43)⋊C4—21no—
666(C2×D43)⋊C4—21no—
667(C2×D43)⋊C4—21no—
668(C2×D43)⋊C4—21no—
669(C2×D43)⋊C4—21no—
670(C2×D43)⋊C4—21no—
671(C2×D43)⋊C4—21no—
672(C2×D43)⋊C4—21no—
673(C2×D43)⋊C4—21no—
674(C2×D43)⋊C4—21no—
675(C2×D43)⋊C4—21no—
676(C2×D43)⋊C4—21no—
677(C2×D43)⋊C4C2×D411yescharacteristic
678(C2×D43)⋊C4C2×D411yescharacteristic
679C4⋊Dic43—21no—
680C4⋊Dic43C2×D411yescharacteristic
681C4⋊Dic43C2411yescharacteristic
682C4⋊Dic43C2411yescharacteristic
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
693Dic43⋊C4C2×D411yescharacteristic
694Dic43⋊C4C2×D411yescharacteristic
695C4×Dic43—21no—
696C4×Dic43—21no—
697C4×Dic43C2×D411yescharacteristic
698C4×Dic43C2×D411yescharacteristic
699C4×Dic43C2×D411yescharacteristic
700C4×Dic43C2×D411yescharacteristic
701C4×Dic43C2×D411yescharacteristic
702C4×Dic43C2×D411yescharacteristic
703C4×Dic43C2411yescharacteristic
704C4×Dic43C2411yescharacteristic
705C4×Dic43C2411yescharacteristic
706#10621877—41no—
707C2×C43⋊C8—41no—
708C2×C43⋊C8C2411yescharacteristic
709C2×C43⋊C8C2411yescharacteristic
710C2×C43⋊C8C2411yescharacteristic
711C2×C43⋊C8C2411yescharacteristic
712D344—22no—
713D344—22no—
714D344—41no—
715D344—41no—
716D344—41no—
717D344—41no—
718#10621873—22no—
719#10621873—41no—
720#10621873—41no—
721#10621872—41no—
722#10621872—41no—
723C23×C43—21no—
724C23×C43—21no—
725C23×C43—21no—
726C23×C43—42no—
727C23×C43—81no—
728C23×C43—81no—
729C23×C43C22×D411yescharacteristic
730C23×C43C22×D411yescharacteristic
731C22×D43—21no—
732C22×D43—21no—
733C22×D43—21no—
734C22×D43—21no—
735C22×D43—21no—
736C22×D43—42no—
737C22×D43—42no—
738C22×D43—42no—
739C22×D43—42no—
740C22×D43—42no—
741C22×D43—42no—
742C22×D43—42no—
743C22×D43—81no—
744C22×D43—81no—
745C22×D43—81no—
746C22×D43—81no—
747C22×D43—81no—
748C22×D43C22×D411yescharacteristic
749Q8×C43—21no—
750Q8×C43—21no—
751Q8×C43—42no—
752D4×C43—22no—
753D4×C43—21no—
754D4×C43—21no—
755D4×C43—21no—
756D4×C43—21no—
757D4×C43—21no—
758D4×C43—21no—
759D4×C43—42no—
760D4×C43—42no—
761D4×C43—81no—
762D4×C43—81no—
763D4×C43—81no—
764C2×C4×C43—21no—
765C2×C4×C43—21no—
766C2×C4×C43—21no—
767C2×C4×C43—21no—
768C2×C4×C43—21no—
769C2×C4×C43—21no—
770C2×C4×C43—21no—
771C2×C4×C43—21no—
772C2×C4×C43—21no—
773C2×C4×C43—42no—
774C2×C4×C43—42no—
775C2×C4×C43—42no—
776C2×C4×C43—81no—
777C2×C4×C43—81no—
778C2×C4×C43C22×D411yescharacteristic
779C2×C4×C43C22×D411yescharacteristic
780C2×C4×C43C22×D411yescharacteristic
781C2×C4×C43C22×D411yescharacteristic
782C2×C4×C43C2511yescharacteristic
783C22⋊D43—22no—
784C22⋊D43—22no—
785C22⋊D43—42no—
786C22⋊D43—42no—
787C22⋊D43—42no—
788C22⋊D43—42no—
789C22⋊D43—42no—
790C22⋊D43—42no—
791C22⋊D43—42no—
792C22⋊D43—42no—
793C22⋊D43—42no—
794C22⋊D43—42no—
795C22⋊D43—42no—
796C22⋊D43—81no—
797C22⋊D43—81no—
798C22⋊D43—81no—
799C22⋊D43—81no—
800C22⋊D43—81no—
801C22⋊D43—81no—
802C22⋊D43—81no—
803C22⋊D43—81no—
804C2×Dic43—22no—
805C2×Dic43—21no—
806C2×Dic43—21no—
807C2×Dic43—21no—
808C2×Dic43—41no—
809C2×Dic43—41no—
810C2×Dic43—42no—
811C2×Dic43—81no—
812C2×Dic43—81no—
813C2×Dic43AGL(1,ℤ/8)14yescomplemented
814C2×Dic43C22×D411yescharacteristic
815C2×Dic43C22×D411yescharacteristic
816C2×Dic43C22×D411yescharacteristic
817C2×Dic43C22×D411yescharacteristic
818C2×Dic43C22×D411yescharacteristic
819C2×Dic43C22×D411yescharacteristic
820C2×Dic43C22×D411yescharacteristic
821D172—21no—
822D172—21no—
823D172—21no—
824D172—21no—
825D172—21no—
826D172—21no—
827D172—21no—
828D172—21no—
829D172—21no—
830D172—42no—
831D172—42no—
832D172—42no—
833D172—42no—
834D172—42no—
835D172—81no—
836D172—81no—
837D172—81no—
838D172—81no—
839D172H(5,𝔽2)12yes—
840C4×D43—21no—
841C4×D43—21no—
842C4×D43—22no—
843C4×D43—41no—
844C4×D43—42no—
845C4×D43—42no—
846C4×D43—42no—
847C4×D43—42no—
848C4×D43—42no—
849C4×D43—42no—
850C4×D43—42no—
851C4×D43—42no—
852C4×D43—42no—
853C4×D43—81no—
854C4×D43—81no—
855C4×D43—81no—
856C4×D43—81no—
857Dic86—22no—
858Dic86—21no—
859Dic86—21no—
860Dic86—42no—
861Dic86—42no—
862Dic86—42no—
863C8×C43—21no—
864C8×C43—21no—
865C8×C43—21no—
866C8×C43—21no—
867C43⋊C8—21no—
868C43⋊C8—21no—
869C43⋊C8—21no—
870C43⋊C8—21no—
871#61961—431nomaximal, Sylow
872C22×C43—21no—
873C22×C43—21no—
874C22×C43—21no—
875C22×C43—21no—
876C22×C43—21no—
877C22×C43—41no—
878C22×C43—41no—
879C22×C43—41no—
880C22×C43—41no—
881C22×C43—41no—
882C22×C43—41no—
883C22×C43—41no—
884C22×C43—41no—
885C22×C43—41no—
886C22×C43—162no—
887C22×C43C2×AGL(1,ℤ/8)12yes—
888C22×C43C23×D411yescharacteristic
889C2×D43—21no—
890C2×D43—22no—
891C2×D43—21no—
892C2×D43—21no—
893C2×D43—41no—
894C2×D43—41no—
895C2×D43—41no—
896C2×D43—41no—
897C2×D43—41no—
898C2×D43—41no—
899C2×D43—41no—
900C2×D43—41no—
901C2×D43—41no—
902C2×D43—41no—
903C2×D43—41no—
904C2×D43—41no—
905C2×D43—41no—
906C2×D43—41no—
907C2×D43—84no—
908C2×D43—84no—
909C2×D43—84no—
910C2×D43—162no—
911C4×C43—21no—
912C4×C43—21no—
913C4×C43—21no—
914C4×C43—21no—
915C4×C43—41no—
916C4×C43—41no—
917C4×C43—41no—
918C4×C43—41no—
919C4×C43—41no—
920C4×C43C2×H(5,𝔽2)11yescharacteristic
921C4×C43#58511yescharacteristic
922Dic43—21no—
923Dic43—21no—
924Dic43—21no—
925Dic43—21no—
926Dic43—21no—
927Dic43—41no—
928Dic43—41no—
929Dic43—41no—
930Dic43C2×AGL(1,ℤ/8)12yes—
931Dic43C2×AGL(1,ℤ/8)12yes—
932#3508—431no—
933D4×#41—431no—
934#3399—431no—
935#3399—431no—
936#3373—431no—
937#3373—431no—
938#3332—431no—
939#3332—431no—
940#3306—431no—
941#3306—431no—
942#3306—431no—
943#3306D4311yescharacteristic, complemented
944#3274—431no—
945#3274—431no—
946#3264—431no—
947#3264—431no—
948#3264—431no—
949#3264—431no—
950#3253—431no—
951#3253—431no—
952#3246—431no—
953#3214—431no—
954#3214—431no—
955#3205—431no—
956#3109—431no—
957#3109—431no—
958#3101—431no—
959#3036—431no—
960#3036—431no—
961C2×#459—431no—
962#2989—431no—
963C2×C43—22no—
964C2×C43—41no—
965C2×C43—81no—
966C2×C43—81no—
967C2×C43—81no—
968C2×C43#348811yescharacteristic
969C2×C43C22×AGL(1,ℤ/8)11yescharacteristic
970C2×C43#358511yescharacteristic
971D43—41no—
972D43—42no—
973D43—81no—
974D43—81no—
975D43—81no—
976D43—81no—
977C22×#41—861no—
978C2×AGL(1,ℤ/8)—431no—
979C2×AGL(1,ℤ/8)—431no—
980C2×AGL(1,ℤ/8)—431no—
981C2×AGL(1,ℤ/8)—431no—
982C22×D8—431no—
983C22×D8—431no—
984#559—431no—
985#559—431no—
986#559—861no—
987#550—431no—
988#550—431no—
989#550—431no—
990#550—861no—
991D4×Q8—431no—
992#548—861no—
993#547—431no—
994#547—431no—
995#547C2×D4311yescharacteristic
996#546—431no—
997#546—431no—
998#546—431no—
999#546—861no—
1000#546—861no—
1001#546—861no—
1002#546—861no—
1003#546—861no—
1004#546C2×D4311yescharacteristic, complemented
1005D42—431no—
1006D42—431no—
1007D42—431no—
1008#540—861no—
1009#540—861no—
1010#535—861no—
1011#533—431no—
1012#532—431no—
1013#532—431no—
1014#532—431no—
1015#532—431no—
1016#532—431no—
1017#532—431no—
1018#532—431no—
1019C2×#127—431no—
1020#525—861no—
1021#525—861no—
1022#525—861no—
1023#518—861no—
1024C4×#41—431no—
1025C2×C4×D4—431no—
1026C2×C4×D4—431no—
1027C2×C4×D4—431no—
1028#496—431no—
1029#496—431no—
1030#496—431no—
1031#496—431no—
1032#493—431no—
1033#493—431no—
1034#489—431no—
1035#489—431no—
1036#489—431no—
1037#489C2×D4311yescharacteristic, complemented
1038#486—431no—
1039#486—431no—
1040#483—431no—
1041#483C2×D4311yescharacteristic, complemented
1042#481—431no—
1043#481—431no—
1044#481—431no—
1045#481C2×D4311yescharacteristic, complemented
1046#476—431no—
1047#476—431no—
1048#476—431no—
1049#476—431no—
1050#476—431no—
1051#476—431no—
1052#476—431no—
1053#476C2×D4311yescharacteristic, complemented
1054#475—431no—
1055#475—431no—
1056#469—431no—
1057#469—431no—
1058#469—431no—
1059#469—431no—
1060#469—431no—
1061#469—431no—
1062#469—431no—
1063#469C2×D4311yescharacteristic, complemented
1064#465—431no—
1065#465—431no—
1066#465—431no—
1067#465C2×D4311yescharacteristic, complemented
1068#463—431no—
1069#463—431no—
1070#463—431no—
1071#463—431no—
1072#463—431no—
1073#463—431no—
1074#463—431no—
1075#463C2×D4311yescharacteristic, complemented
1076#461—431no—
1077#461—431no—
1078#461—431no—
1079#461—431no—
1080#460—431no—
1081#460—431no—
1082#459—431no—
1083#459—431no—
1084#459—431no—
1085#459—431no—
1086#459—431no—
1087#459—431no—
1088#459—431no—
1089#459—431no—
1090#459—431no—
1091#459—431no—
1092#459—431no—
1093#459—431no—
1094#459—431no—
1095#459—431no—
1096#459—431no—
1097#459—431no—
1098#450—431no—
1099#450—431no—
1100#449—431no—
1101#449—431no—
1102#449—431no—
1103#449—431no—
1104#449—431no—
1105#449—431no—
1106#449—431no—
1107#449C2×D4311yescharacteristic, complemented
1108#447—431no—
1109#447—431no—
1110#447—431no—
1111#447—431no—
1112#447—431no—
1113#447—431no—
1114#447—431no—
1115#447C2×D4311yescharacteristic, complemented
1116#446—431no—
1117#446—431no—
1118#442—431no—
1119#442—431no—
1120#442—431no—
1121#442—431no—
1122#442—431no—
1123#442—431no—
1124#442—431no—
1125#442C2×D4311yescharacteristic, complemented
1126C4×SD16—431no—
1127C4×SD16—431no—
1128C4×SD16—431no—
1129C4×SD16—431no—
1130#436—431no—
1131#436—431no—
1132#435—431no—
1133#435—431no—
1134#435—431no—
1135#435C2×D4311yescharacteristic, complemented
1136#432—431no—
1137#432—431no—
1138#431—431no—
1139#423—431no—
1140#423—431no—
1141C2×C4⋊C8—431no—
1142#417—431no—
1143#417—431no—
1144#417—431no—
1145#417C2×D4311yescharacteristic, complemented
1146C2×#102—431no—
1147C2×#102C2×D4311yescharacteristic, complemented
1148C43#6196111yescharacteristic, complemented, Sylow
1149C2×#41—21no—
1150C2×#41—431no—
1151C2×#41—431no—
1152C2×#41—431no—
1153C2×#41—431no—
1154C2×#41—861no—
1155C2×#41—861no—
1156C2×#41—861no—
1157C2×#41—861no—
1158C2×#41—861no—
1159C2×#41—861no—
1160C2×#41—861no—
1161C2×#41—861no—
1162C2×#41—1728no—
1163C2×#41C22×D4311yescharacteristic
1164C22×Q8—861no—
1165C22×D4—431no—
1166C22×D4—431no—
1167C22×D4—431no—
1168C22×D4—431no—
1169C22×D4—861no—
1170C22×D4—861no—
1171C22×D4—861no—
1172C22×D4—861no—
1173C22×D4—861no—
1174C22×D4C22×D4311yescharacteristic
1175C23×C4—861no—
1176C23×C4—861no—
1177C23×C4—861no—
1178AGL(1,ℤ/8)—1722no—
1179AGL(1,ℤ/8)—1722no—
1180AGL(1,ℤ/8)—1722no—
1181AGL(1,ℤ/8)—1722no—
1182C2×SD16—431no—
1183C2×SD16—431no—
1184C2×SD16—431no—
1185C2×SD16—431no—
1186C2×SD16—431no—
1187C2×SD16—431no—
1188C2×SD16—431no—
1189C2×SD16C22×D4311yescharacteristic
1190C2×D8—431no—
1191C2×D8—431no—
1192C2×D8—431no—
1193C2×D8—431no—
1194C2×D8—431no—
1195C2×D8—431no—
1196C2×D8—431no—
1197C2×D8—431no—
1198C2×D8—431no—
1199C2×D8—431no—
1200C2×D8—431no—
1201C2×D8—431no—
1202C2×D8—431no—
1203C2×D8—431no—
1204C2×D8—1722no—
1205C2×D8—1722no—
1206C2×D8C22×D4311yescharacteristic
1207C2×D8C22×D4311yescharacteristic
1208C2×M16—431no—
1209C2×M16—431no—
1210C2×M16—431no—
1211C2×M16C22×D4311yescharacteristic
1212C22×C8—431no—
1213C22×C8C22×D4311yescharacteristic
1214C4⋊Q8—431no—
1215C4⋊Q8—431no—
1216C4⋊Q8—431no—
1217C4⋊Q8—431no—
1218C4⋊Q8C22×D4311yescharacteristic
1219#127—431no—
1220#127—431no—
1221#127—431no—
1222#127—431no—
1223#127—431no—
1224#127—431no—
1225#127—431no—
1226#127—861no—
1227#127—861no—
1228#127—861no—
1229#127—861no—
1230#125—861no—
1231#124—431no—
1232#124—431no—
1233#124—431no—
1234#124—861no—
1235#124—861no—
1236#124—861no—
1237#124—861no—
1238#124—861no—
1239#124—861no—
1240#124—861no—
1241#124C22×D4311yescharacteristic
1242#123—21no—
1243#123—21no—
1244#123—21no—
1245#123—861no—
1246#123—861no—
1247#123—861no—
1248#123—861no—
1249#123—861no—
1250#123—861no—
1251#123—861no—
1252#123—861no—
1253#123—861no—
1254#123—861no—
1255#123—861no—
1256C22⋊Q8—21no—
1257C22⋊Q8—431no—
1258C22⋊Q8—861no—
1259C22⋊Q8—861no—
1260C22⋊Q8—861no—
1261C22⋊Q8—861no—
1262C22⋊Q8—861no—
1263C22⋊Q8—861no—
1264C22⋊Q8C22×D4311yescharacteristic
1265#121—21no—
1266#121—431no—
1267#121—431no—
1268#121—431no—
1269#121—431no—
1270#121—431no—
1271#121—431no—
1272#121—431no—
1273#121—861no—
1274#121—861no—
1275#121—861no—
1276#121—861no—
1277#121—861no—
1278#121—861no—
1279#121—861no—
1280#121—861no—
1281#121—861no—
1282#121—861no—
1283#121—861no—
1284#121—861no—
1285#121—861no—
1286#121—861no—
1287#121—861no—
1288#121—861no—
1289#121—861no—
1290#121—861no—
1291#121—861no—
1292#121—861no—
1293#121—861no—
1294#121—861no—
1295#121C22×D4311yescharacteristic
1296#121C22×D4311yescharacteristic
1297#121C22×D4311yescharacteristic
1298#120—21no—
1299#120—861no—
1300#120—861no—
1301#120—861no—
1302#120—861no—
1303#120—861no—
1304#120—861no—
1305#120—861no—
1306#120—861no—
1307#120—861no—
1308C4×Q8—431no—
1309C4×Q8—431no—
1310C4×Q8—431no—
1311C4×Q8—431no—
1312C4×Q8—861no—
1313C4×D4—431no—
1314C4×D4—431no—
1315C4×D4—431no—
1316C4×D4—431no—
1317C4×D4—431no—
1318C4×D4—431no—
1319C4×D4—431no—
1320C4×D4—431no—
1321C4×D4—431no—
1322C4×D4—431no—
1323C4×D4—431no—
1324C4×D4—431no—
1325C4×D4—431no—
1326C4×D4—431no—
1327C4×D4—431no—
1328C4×D4—431no—
1329C4×D4—431no—
1330C4×D4—861no—
1331C4×D4—861no—
1332C4×D4—861no—
1333C4×D4—861no—
1334C4×D4—861no—
1335C4×D4—861no—
1336C4×D4—861no—
1337C4×D4—861no—
1338C4×D4—861no—
1339C4×D4—861no—
1340C4×D4—861no—
1341C4×D4—861no—
1342C4×D4—861no—
1343C4×D4—861no—
1344C4×D4—861no—
1345C4×D4—861no—
1346C4×D4—861no—
1347C4×D4—861no—
1348C4×D4—861no—
1349C4×D4C22×D4311yescharacteristic
1350C4×D4C22×D4311yescharacteristic
1351C4×D4C22×D4311yescharacteristic
1352#117—431no—
1353#117—431no—
1354#117—431no—
1355#117—861no—
1356C2×C4⋊C4—431no—
1357C2×C4⋊C4C22×D4311yescharacteristic
1358C2×C4⋊C4C22×D4311yescharacteristic
1359C2×C22⋊C4—21no—
1360C2×C22⋊C4—861no—
1361C2×C22⋊C4—861no—
1362C2×C22⋊C4—861no—
1363C2×C22⋊C4—861no—
1364C2×C22⋊C4—861no—
1365C2×C22⋊C4—861no—
1366C2×C42—431no—
1367C2×C42—431no—
1368C2×C42—431no—
1369#106—431no—
1370#106—431no—
1371#106—431no—
1372#106—431no—
1373#106—431no—
1374#106C22×D4311yescharacteristic
1375#106C22×D4311yescharacteristic
1376#106C22×D4311yescharacteristic
1377C4⋊C8—431no—
1378C4⋊C8—431no—
1379C4⋊C8—431no—
1380C4⋊C8—431no—
1381C4⋊C8—431no—
1382C4⋊C8—431no—
1383C4⋊C8—431no—
1384C4⋊C8—431no—
1385C4⋊C8—431no—
1386C4⋊C8C22×D4311yescharacteristic
1387#103—431no—
1388#103—431no—
1389#103—431no—
1390#103—431no—
1391#103—431no—
1392#103C22×D4311yescharacteristic
1393#103C22×D4311yescharacteristic
1394#103C22×D4311yescharacteristic
1395#102—431no—
1396#102—431no—
1397#102—431no—
1398#102—431no—
1399#102—431no—
1400#102—431no—
1401#102—431no—
1402#102—431no—
1403#102—431no—
1404#102—431no—
1405#102—431no—
1406#102—431no—
1407#102—431no—
1408#102—431no—
1409#102—431no—
1410#102—431no—
1411#102—431no—
1412#102C22×D4311yescharacteristic
1413#102C22×D4311yescharacteristic
1414#102C22×D4311yescharacteristic
1415#102C22×D4311yescharacteristic
1416#102C22×D4311yescharacteristic
1417#102C22×D4311yescharacteristic
1418#102C22×D4311yescharacteristic
1419C22⋊C8—431no—
1420C22⋊C8—431no—
1421C22⋊C8—431no—
1422C22⋊C8—431no—
1423C22⋊C8C22×D4311yescharacteristic
1424C22⋊C8C22×D4311yescharacteristic
1425#97—431no—
1426#97—431no—
1427#97—431no—
1428#97C22×D4311yescharacteristic
1429C4×C8—431no—
1430C4×C8—431no—
1431C24—21no—
1432C24—861no—
1433C24—861no—
1434C24—861no—
1435C24—861no—
1436#41—41no—
1437#41—41no—
1438#41—44no—
1439#41—864no—
1440#41—3442no—
1441#41—3442no—
1442#41—1721no—
1443#41—1721no—
1444#41—1724no—
1445#41—1724no—
1446#41—1724no—
1447#41—1724no—
1448#41—1721no—
1449#41—1721no—
1450#41—1721no—
1451#41—1721no—
1452#41—1724no—
1453#41—1724no—
1454C2×Q8—21no—
1455C2×Q8—431no—
1456C2×Q8—431no—
1457C2×Q8—861no—
1458C2×Q8—861no—
1459C2×Q8—861no—
1460C2×Q8—1724no—
1461C2×Q8C23×D4311yescharacteristic
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—21no—
1465C2×D4—21no—
1466C2×D4—21no—
1467C2×D4—41no—
1468C2×D4—41no—
1469C2×D4—431no—
1470C2×D4—431no—
1471C2×D4—431no—
1472C2×D4—431no—
1473C2×D4—431no—
1474C2×D4—431no—
1475C2×D4—431no—
1476C2×D4—862no—
1477C2×D4—862no—
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×D4—861no—
1488C2×D4—861no—
1489C2×D4—861no—
1490C2×D4—861no—
1491C2×D4—861no—
1492C2×D4—861no—
1493C2×D4—861no—
1494C2×D4—861no—
1495C2×D4—862no—
1496C2×D4—861no—
1497C2×D4—861no—
1498C2×D4—861no—
1499C2×D4—861no—
1500C2×D4—861no—
1501C2×D4—861no—
1502C2×D4—861no—
1503C2×D4—861no—
1504C2×D4—861no—
1505C2×D4—861no—
1506C2×D4—861no—
1507C2×D4—3442no—
1508C2×D4—1721no—
1509C2×D4—1721no—
1510C2×D4—1721no—
1511C2×D4—1721no—
1512C2×D4—1724no—
1513C2×D4—1721no—
1514C2×D4—1724no—
1515C2×D4—1724no—
1516C2×D4—1724no—
1517C2×D4D4×D4311yescharacteristic
1518C2×D4C23×D4311yescharacteristic
1519C2×D4C23×D4311yescharacteristic
1520C2×D4C23×D4311yescharacteristic
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—431no—
1527C22×C4—431no—
1528C22×C4—431no—
1529C22×C4—431no—
1530C22×C4—431no—
1531C22×C4—431no—
1532C22×C4—431no—
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—1724no—
1550C22×C4—1724no—
1551C22×C4—1724no—
1552C22×C4C23×D4311yescharacteristic
1553C22×C4C23×D4311yescharacteristic
1554SD16—41no—
1555SD16—862no—
1556SD16—862no—
1557SD16—1721no—
1558SD16—1721no—
1559SD16—1721no—
1560SD16—1721no—
1561SD16—1721no—
1562D8—41no—
1563D8—41no—
1564D8—862no—
1565D8—862no—
1566D8—862no—
1567D8—862no—
1568D8—1721no—
1569D8—1721no—
1570D8—1721no—
1571D8—1721no—
1572D8—1721no—
1573D8—1721no—
1574D8—1721no—
1575D8—1721no—
1576D8—1721no—
1577D8—1721no—
1578M16—41no—
1579M16—1721no—
1580M16—1721no—
1581M16—1721no—
1582C2×C8—41no—
1583C2×C8—431no—
1584C2×C8—431no—
1585C2×C8—431no—
1586C2×C8—431no—
1587C2×C8—1721no—
1588C2×C8C23×D4311yescharacteristic
1589C2×C8C23×D4311yescharacteristic
1590C2×C8C23×D4311yescharacteristic
1591C2×C8C23×D4311yescharacteristic
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—431no—
1597C4⋊C4—431no—
1598C4⋊C4—431no—
1599C4⋊C4—431no—
1600C4⋊C4—431no—
1601C4⋊C4—431no—
1602C4⋊C4—431no—
1603C4⋊C4—861no—
1604C4⋊C4—861no—
1605C4⋊C4—861no—
1606C4⋊C4—861no—
1607C4⋊C4—861no—
1608C4⋊C4—861no—
1609C4⋊C4—861no—
1610C4⋊C4—861no—
1611C4⋊C4—861no—
1612C4⋊C4D4×D4311yescharacteristic
1613C4⋊C4C23×D4311yescharacteristic
1614C4⋊C4C23×D4311yescharacteristic
1615C4⋊C4C23×D4311yescharacteristic
1616C4⋊C4C23×D4311yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—431no—
1626C22⋊C4—431no—
1627C22⋊C4—431no—
1628C22⋊C4—431no—
1629C22⋊C4—861no—
1630C22⋊C4—861no—
1631C22⋊C4—861no—
1632C22⋊C4—861no—
1633C22⋊C4—861no—
1634C22⋊C4—861no—
1635C22⋊C4—861no—
1636C22⋊C4—861no—
1637C22⋊C4—861no—
1638C22⋊C4—861no—
1639C22⋊C4—861no—
1640C22⋊C4—861no—
1641C22⋊C4—861no—
1642C22⋊C4—861no—
1643C22⋊C4—861no—
1644C22⋊C4—861no—
1645C22⋊C4—861no—
1646C22⋊C4—861no—
1647C22⋊C4—861no—
1648C22⋊C4—861no—
1649C22⋊C4—861no—
1650C22⋊C4—861no—
1651C22⋊C4—861no—
1652C22⋊C4—861no—
1653C22⋊C4—861no—
1654C22⋊C4—861no—
1655C22⋊C4D4×D4311yescharacteristic
1656C22⋊C4D4×D4311yescharacteristic
1657C42—431no—
1658C42—431no—
1659C42—431no—
1660C42—431no—
1661C42—431no—
1662C42—431no—
1663C42—431no—
1664C42—431no—
1665C42—431no—
1666C42—861no—
1667C42—861no—
1668C42C23×D4311yescharacteristic
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—42no—
1673C23—81no—
1674C23—81no—
1675C23—431no—
1676C23—861no—
1677C23—861no—
1678C23—861no—
1679C23—861no—
1680C23—861no—
1681C23—3441no—
1682C23—3441no—
1683C23—3441no—
1684C23—3441no—
1685C23—3441no—
1686C23—1722no—
1687C23—1722no—
1688C23—1722no—
1689C23—1722no—
1690C23—1722no—
1691C23—1722no—
1692C23—1722no—
1693C23C2×D4×D4311yescharacteristic
1694C23C2×D4×D4311yescharacteristic
1695Q8—21no—
1696Q8—21no—
1697Q8—42no—
1698Q8—862no—
1699Q8—861no—
1700Q8—861no—
1701Q8—1722no—
1702Q8—1722no—
1703Q8—1722no—
1704D4—22no—
1705D4—21no—
1706D4—21no—
1707D4—21no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—42no—
1712D4—42no—
1713D4—81no—
1714D4—81no—
1715D4—81no—
1716D4—432no—
1717D4—862no—
1718D4—862no—
1719D4—861no—
1720D4—861no—
1721D4—861no—
1722D4—861no—
1723D4—861no—
1724D4—861no—
1725D4—861no—
1726D4—861no—
1727D4—861no—
1728D4—3441no—
1729D4—3441no—
1730D4—3441no—
1731D4—3441no—
1732D4—3441no—
1733D4—3441no—
1734D4—3441no—
1735D4—3441no—
1736D4—3441no—
1737D4—3441no—
1738D4—3441no—
1739D4—3441no—
1740D4—1722no—
1741D4—1722no—
1742D4—1722no—
1743D4—1722no—
1744D4—1722no—
1745D4—1722no—
1746D4—1722no—
1747D4—1722no—
1748D4—1722no—
1749D4—1722no—
1750D4—1722no—
1751D4—1722no—
1752D4—1722no—
1753D4—1722no—
1754D4—1722no—
1755D4—1722no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—42no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—81no—
1769C2×C4—81no—
1770C2×C4—434no—
1771C2×C4—431no—
1772C2×C4—431no—
1773C2×C4—431no—
1774C2×C4—431no—
1775C2×C4—431no—
1776C2×C4—431no—
1777C2×C4—431no—
1778C2×C4—862no—
1779C2×C4—862no—
1780C2×C4—861no—
1781C2×C4—861no—
1782C2×C4—861no—
1783C2×C4—861no—
1784C2×C4—861no—
1785C2×C4—3441no—
1786C2×C4—3441no—
1787C2×C4—3441no—
1788C2×C4—3441no—
1789C2×C4—3441no—
1790C2×C4—3441no—
1791C2×C4—1721no—
1792C2×C4—1722no—
1793C2×C4—1722no—
1794C2×C4—1722no—
1795C2×C4—1722no—
1796C2×C4—1722no—
1797C2×C4—1722no—
1798C2×C4—1722no—
1799C2×C4—1722no—
1800C2×C4—1722no—
1801C2×C4—1722no—
1802C2×C4—1721no—
1803C2×C4—1721no—
1804C2×C4C2×D4×D4311yescharacteristic
1805C2×C4C2×D4×D4311yescharacteristic
1806C2×C4C2×D4×D4311yescharacteristic
1807C2×C4C2×D4×D4311yescharacteristic
1808C2×C4C24×D4311yescharacteristic
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—21no—
1813C8—861no—
1814C8—861no—
1815C8—861no—
1816C8—861no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—162no—
1832C22—861no—
1833C22—861no—
1834C22—861no—
1835C22—862no—
1836C22—3444no—
1837C22—3444no—
1838C22—3444no—
1839C22—1721no—
1840C22—1721no—
1841C22—1721no—
1842C22—1721no—
1843C22—1721no—
1844C22—1721no—
1845C22—1721no—
1846C22—1721no—
1847C22—1721no—
1848C22—1721no—
1849C22—1721no—
1850C22—1721no—
1851C22—1721no—
1852C22—1721no—
1853C22—6882no—
1854C22AGL(1,ℤ/8)×D4312yes—
1855C22C22×D4×D4311yescharacteristic
1856C4—21no—
1857C4—21no—
1858C4—21no—
1859C4—21no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—41no—
1864C4—41no—
1865C4—432no—
1866C4—432no—
1867C4—861no—
1868C4—861no—
1869C4—861no—
1870C4—861no—
1871C4—861no—
1872C4—1721no—
1873C4—1721no—
1874C4—1721no—
1875C4H(5,𝔽2)×D4311yescharacteristic
1876C4#1458373511yescharacteristic
1877C2—22no—
1878C2—41no—
1879C2—81no—
1880C2—81no—
1881C2—81no—
1882C2—3441no—
1883C2—3441no—
1884C2—3441no—
1885C2—3441no—
1886C2—1721no—
1887C2—1722no—
1888C2#1914825811yescharacteristic
1889C2C2×AGL(1,ℤ/8)×D4311yescharacteristic
1890C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3306C2
socleC22×C43C23×D4
hypercenter#3306D43
hypocenterC43#61961
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #19148463C2semidirect
2. #19148082C2semidirect
3. #19147638C2semidirect
4. #19147632C2semidirect
5. #19147390C2semidirect
6. #19147384C2semidirect
7. #19146920C2semidirect
8. #19146918C2semidirect
9. #19146554C2semidirect
10. #19146552C2semidirect
11. #19146550C2semidirect
12. #19146212C2semidirect
13. #19146208C2semidirect
14. #19146080C2semidirect
15. #19146076C2semidirect
16. #19146072C2semidirect
17. #19146068C2semidirect
18. #19145975C2semidirect
19. #19145972C2semidirect
20. #19145906C2semidirect
21. #19145591C2semidirect
22. #19145587C2semidirect
23. #19145511C2semidirect
24. #19144684C2semidirect
25. #19144683C2semidirect
26. #19144600C2semidirect
27. #19144058C2semidirect
28. #19144057C2semidirect
29. C2×#14583093C2semidirect
30. #19143707C2semidirect
31. C43×#3306C2semidirect
33. C2×#13063353C22semidirect
34. C2×#13063352C22semidirect
35. C2×#13063350C22semidirect
36. C2×#13063349C22semidirect
40. #14583632C22semidirect
41. #14583631C22semidirect
42. #14583570C22semidirect
43. #14583568C22semidirect
45. #14583567C22semidirect
46. #14583564C22semidirect
49. #14583550C22semidirect
50. #14583545C22semidirect
51. #14583543C22semidirect
54. #14583540C22semidirect
60. #14583533C22semidirect
64. #14583451C22semidirect
65. #14583450C22semidirect
66. #14583448C22semidirect
67. #14583446C22semidirect
68. #14583445C22semidirect
70. #14583444C22semidirect
71. #14583444C22semidirect
72. C2×#13063321C22semidirect
79. C2×#13063287C22semidirect
80. C4×D4×D43C22semidirect
81. #14583289C22semidirect
82. #14583288C22semidirect
83. #14583287C22semidirect
84. #14583285C22semidirect
85. #14583274C22semidirect
86. #14583274C22semidirect
87. #14583261C22semidirect
88. #14583260C22semidirect
89. #14583257C22semidirect
90. #14583244C22semidirect
91. #14583244C22semidirect
92. #14583229C22semidirect
93. #14583219C22semidirect
94. #14583217C22semidirect
95. #14583216C22semidirect
96. #14583188C22semidirect
97. #14583188C22semidirect
98. #14583188C22semidirect
99. #14583188C22semidirect
100. #14583187C22semidirect
101. #14583187C22semidirect
102. #14583186C22semidirect
103. #14583183C22semidirect
104. #14583182C22semidirect
105. #14583153C22semidirect
106. #14583153C22semidirect
107. #14583152C22semidirect
108. #14583151C22semidirect
109. #14583151C22semidirect
110. #14583150C22semidirect
111. #14583150C22semidirect
112. #14583130C22semidirect
113. #14583128C22semidirect
114. #14583126C22semidirect
115. #14583117C22semidirect
116. #14583117C22semidirect
117. #14583115C22semidirect
118. #14583114C22semidirect
119. #14583113C22semidirect
120. #14583113C22semidirect
121. #14583111C22semidirect
122. #14583103C22semidirect
123. #14583103C22semidirect
124. #14583103C22semidirect
125. #14583102C22semidirect
126. #14583098C22semidirect
127. #14583097C22semidirect
128. #14583095C22semidirect
129. #14583094C22semidirect
134. #14583093C22semidirect
135. #14583093C22semidirect
136. #14583093C22semidirect
137. #14583093C22semidirect
138. #14583093C22semidirect
139. #14583093C22semidirect
140. #14583093C22semidirect
141. #14583092C22semidirect
142. #14583092C22semidirect
143. #14583092C22semidirect
146. #14583047C22semidirect
147. #14583047C22semidirect
148. #14583046C22semidirect
149. #14583045C22semidirect
150. #14583045C22semidirect
151. #14583044C22semidirect
152. #14583042C22semidirect
153. #14583035C22semidirect
154. #14583035C22semidirect
155. #14583034C22semidirect
156. #14583033C22semidirect
157. #14583032C22semidirect
158. #14583032C22semidirect
159. #14583031C22semidirect
160. #14583028C22semidirect
161. #14583027C22semidirect
162. #14583012C22semidirect
163. #14583010C22semidirect
164. #14583010C22semidirect
165. #14583009C22semidirect
166. #14583009C22semidirect
167. #14583008C22semidirect
168. #14583008C22semidirect
169. #14582986C22semidirect
170. #14582986C22semidirect
171. #14582984C22semidirect
172. #14582984C22semidirect
173. #14582975C22semidirect
174. #14582974C22semidirect
175. #14582971C22semidirect
176. #14582970C22semidirect
177. #14582967C22semidirect
178. #14582954C22semidirect
179. #14582953C22semidirect
180. #14582949C22semidirect
181. #14582922C22semidirect
182. #14582921C22semidirect
183. C2×Dic43⋊C8C22semidirect
184. #14582899C22semidirect
185. #14582898C22semidirect
186. #14582897C22semidirect
187. C2×#13063245C22semidirect
189. C43×#546C22semidirect
190. C43×#489C22semidirect
191. C43×#483C22semidirect
192. C43×#481C22semidirect
193. C43×#476C22semidirect
194. C43×#469C22semidirect
195. C43×#465C22semidirect
196. C43×#463C22semidirect
197. C43×#449C22semidirect
198. C43×#447C22semidirect
199. C43×#442C22semidirect
200. C43×#435C22semidirect
201. C43×#417C22semidirect
202. C2×#102×C43C22semidirect
813. C2×Dic43AGL(1,ℤ/8)semidirect
943. #3306D43semidirect
1004. #546C2×D43semidirect
1037. #489C2×D43semidirect
1041. #483C2×D43semidirect
1045. #481C2×D43semidirect
1053. #476C2×D43semidirect
1063. #469C2×D43semidirect
1067. #465C2×D43semidirect
1075. #463C2×D43semidirect
1107. #449C2×D43semidirect
1115. #447C2×D43semidirect
1125. #442C2×D43semidirect
1135. #435C2×D43semidirect
1145. #417C2×D43semidirect
1147. C2×#102C2×D43semidirect
1148. C43#61961semidirect

Maximal subgroups

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

subgroupindex
#191484632
#191480822
#191476382
#191476322
#191473902
#191473842
#191469202
#191469182
#191465542
#191465522
#191465502
#191462122
#191462082
#191460802
#191460762
#191460722
#191460682
#191459752
#191459722
#191459062
#191455912
#191455872
#191455112
#191446842
#191446832
#191446002
#191440582
#191440572
C2×#145830932
#191437072
C43×#33062
#6196143