Finite Group Databasebeta

← #25988956

Subgroups — #25988956

Order 11008.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148501C211yesmaximal, characteristic, complemented
2#19148082C211yesmaximal, characteristic, complemented
3#19147618C211yesmaximal, characteristic, complemented
4#19147616C211yesmaximal, characteristic, complemented
5#19147316C211yesmaximal, characteristic, complemented
6#19147310C211yesmaximal, characteristic, complemented
7#19146898C211yesmaximal, characteristic, complemented
8#19146896C211yesmaximal, characteristic, complemented
9#19146584C211yesmaximal, characteristic, complemented
10#19146582C211yesmaximal, characteristic, complemented
11#19146580C211yesmaximal, characteristic, complemented
12#19146192C211yesmaximal, characteristic, complemented
13#19146188C211yesmaximal, characteristic, complemented
14#19146095C211yesmaximal, characteristic, complemented
15#19146091C211yesmaximal, characteristic, complemented
16#19146087C211yesmaximal, characteristic, complemented
17#19146083C211yesmaximal, characteristic, complemented
18#19145981C211yesmaximal, characteristic, complemented
19#19145977C211yesmaximal, characteristic, complemented
20#19145901C211yesmaximal, characteristic, complemented
21#19145591C211yesmaximal, characteristic, complemented
22#19145587C211yesmaximal, characteristic, complemented
23#19145518C211yesmaximal, characteristic, complemented
24#19144692C211yesmaximal, characteristic, complemented
25#19144691C211yesmaximal, characteristic, complemented
26#19144592C211yesmaximal, characteristic, complemented
27#19144058C211yesmaximal, characteristic, complemented
28#19144057C211yesmaximal, characteristic, complemented
29C2×#14583103C211yesmaximal, characteristic, complemented
30#19143707C211yesmaximal, characteristic, complemented
31C43×#3308C211yesmaximal, characteristic, complemented
32C2×#41×D43—21no—
33C2×#13063353C2211yescharacteristic
34C2×#13063352C2211yescharacteristic
35C2×#13063350C2211yescharacteristic
36C2×#13063349C2211yescharacteristic
37C22×#10621873C2211yescharacteristic
38C22×#10621884C2211yescharacteristic
39#14583621C2211yescharacteristic, complemented
40#14583618C2211yescharacteristic, complemented
41#14583611—21no—
42#14583603—21no—
43#14583598—21no—
44#14583592—21no—
45#14583570C2211yescharacteristic
46#14583564C2211yescharacteristic
47#14583560C2211yescharacteristic, complemented
48#14583559—21no—
49#14583558C2211yescharacteristic, complemented
50#14583555C2211yescharacteristic, complemented
51#14583551C2211yescharacteristic, complemented
52#14583550C2211yescharacteristic
53#14583550C2211yescharacteristic
54#14583548C2211yescharacteristic, complemented
55#14583541—21no—
56#14583541—21no—
57#14583537—21no—
58D4×D172C2211yescharacteristic
59#14583533C2211yescharacteristic
60#14583533C2211yescharacteristic
61#14583519—21no—
62#14583513—21no—
63#14583476—21no—
64#14583453C2211yescharacteristic, complemented
65#14583451C2211yescharacteristic, complemented
66#14583450C2211yescharacteristic
67#14583448C2211yescharacteristic, complemented
68#14583445C2211yescharacteristic, complemented
69#14583444C2211yescharacteristic
70#14583444C2211yescharacteristic
71#14583444C2211yescharacteristic, complemented
72C2×#13063323C2211yescharacteristic, complemented
73#14583412—21no—
74#14583407—21no—
75#14583407—21no—
76#14583378—21no—
77C4×#10621900C2211yescharacteristic
78C2×#13063287C2211yescharacteristic
79C2×#13063287C2211yescharacteristic
80C4×D4×D43C2211yescharacteristic
81#14583289C2211yescharacteristic, complemented
82#14583288C2211yescharacteristic, complemented
83#14583287C2211yescharacteristic, complemented
84#14583285C2211yescharacteristic, complemented
85#14583270C2211yescharacteristic, complemented
86#14583270C2211yescharacteristic, complemented
87#14583261C2211yescharacteristic, complemented
88#14583260C2211yescharacteristic, complemented
89#14583257C2211yescharacteristic, complemented
90#14583248C2211yescharacteristic, complemented
91#14583248C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583234C2211yescharacteristic, complemented
94#14583233C2211yescharacteristic, complemented
95#14583212C2211yescharacteristic, complemented
96#14583193C2211yescharacteristic, complemented
97#14583192C2211yescharacteristic, complemented
98#14583191C2211yescharacteristic, complemented
99#14583178C2211yescharacteristic
100#14583178C2211yescharacteristic, complemented
101#14583178C2211yescharacteristic, complemented
102#14583178C2211yescharacteristic, complemented
103#14583177C2211yescharacteristic, complemented
104#14583177C2211yescharacteristic, complemented
105#14583148C2211yescharacteristic, complemented
106#14583148C2211yescharacteristic, complemented
107#14583147C2211yescharacteristic, complemented
108#14583146C2211yescharacteristic, complemented
109#14583146C2211yescharacteristic, complemented
110#14583145C2211yescharacteristic, complemented
111#14583143C2211yescharacteristic, complemented
112#14583135C2211yescharacteristic, complemented
113#14583133C2211yescharacteristic, complemented
114#14583133C2211yescharacteristic, complemented
115#14583117C2211yescharacteristic
116#14583117C2211yescharacteristic, complemented
117#14583115C2211yescharacteristic
118#14583114C2211yescharacteristic, complemented
119#14583113C2211yescharacteristic
120#14583113C2211yescharacteristic, complemented
121#14583111C2211yescharacteristic
122#14583103C2211yescharacteristic
123#14583103C2211yescharacteristic
124#14583103C2211yescharacteristic
125#14583103C2211yescharacteristic
126#14583103C2211yescharacteristic, complemented
127#14583103C2211yescharacteristic, complemented
128#14583103C2211yescharacteristic, complemented
129#14583103C2211yescharacteristic, complemented
130#14583103C2211yescharacteristic, complemented
131#14583103C2211yescharacteristic, complemented
132#14583102C2211yescharacteristic, complemented
133#14583102C2211yescharacteristic, complemented
134#14583100C2211yescharacteristic, complemented
135#14583099C2211yescharacteristic, complemented
136#14583098C2211yescharacteristic, complemented
137#14583097C2211yescharacteristic, complemented
138#14583093C2211yescharacteristic
139#14583093C2211yescharacteristic, complemented
140#14583093C2211yescharacteristic, complemented
141#14583093C2211yescharacteristic, complemented
142#14583092C2211yescharacteristic, complemented
143#14583092C2211yescharacteristic, complemented
144#14583052C2211yescharacteristic
145#14583051C2211yescharacteristic
146#14583049C2211yescharacteristic
147#14583048C2211yescharacteristic
148#14583047C2211yescharacteristic, complemented
149#14583047C2211yescharacteristic, complemented
150#14583046C2211yescharacteristic, complemented
151#14583045C2211yescharacteristic, complemented
152#14583045C2211yescharacteristic, complemented
153#14583044C2211yescharacteristic, complemented
154#14583042C2211yescharacteristic, complemented
155#14583040C2211yescharacteristic, complemented
156#14583038C2211yescharacteristic, complemented
157#14583037C2211yescharacteristic, complemented
158#14583035C2211yescharacteristic
159#14583032C2211yescharacteristic
160#14583028C2211yescharacteristic, complemented
161#14583027C2211yescharacteristic, complemented
162#14583002C2211yescharacteristic
163#14583002C2211yescharacteristic, complemented
164#14583001C2211yescharacteristic
165#14582999C2211yescharacteristic, complemented
166#14582998C2211yescharacteristic
167#14582998C2211yescharacteristic, complemented
168#14582997C2211yescharacteristic
169#14582981C2211yescharacteristic
170#14582981C2211yescharacteristic, complemented
171#14582979C2211yescharacteristic
172#14582979C2211yescharacteristic, 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×#13063248C2211yescharacteristic, complemented
188C43×#548C2211yescharacteristic, complemented
189C43×#547C2211yescharacteristic
190C43×#489C2211yescharacteristic, complemented
191C43×#484C2211yescharacteristic, complemented
192C43×#480C2211yescharacteristic, complemented
193C43×#477C2211yescharacteristic, complemented
194C43×#468C2211yescharacteristic, complemented
195C43×#466C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic, complemented
198C43×#448C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#417C2211yescharacteristic, complemented
202C2×#103×C43C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621898—21no—
207C2×#10621898—21no—
208C2×#10621898C2311yescharacteristic
209C2×#10621900—21no—
210C2×#10621900—21no—
211C2×#10621900—21no—
212C2×#10621900D411yescharacteristic
213C2×#10621900C2311yescharacteristic
214#41×D43—48no—
215C22×Dic86C2311yescharacteristic
216C2×Q8×D43—21no—
217C22×D172C2311yescharacteristic
218C22×D172C2311yescharacteristic
219C2×D4×D43—21no—
220C2×D4×D43—21no—
221C2×D4×D43—21no—
222C2×D4×D43C2311yescharacteristic
223C22×C4×D43—21no—
224C22×C4×D43—21no—
225C22×C4×D43—21no—
226#13063353—42no—
227#13063352—42no—
228#13063350—42no—
229#13063349—42no—
230C2×#10621873—42no—
231C2×#10621873C2311yescharacteristic
232C2×#10621873C2311yescharacteristic
233C2×#10621873C2311yescharacteristic
234C2×#10621873C2311yescharacteristic
235C2×#10621873C2311yescharacteristic
236C2×#10621873C2311yescharacteristic
237C2×#10621883C2311yescharacteristic
238C2×#10621883C2311yescharacteristic
239C2×#10621884—42no—
240C2×#10621884C2311yescharacteristic
241C2×#10621884C2311yescharacteristic
242C2×#10621884C2311yescharacteristic
243C2×#10621884C2311yescharacteristic
244C2×#10621884C2311yescharacteristic
245C2×#10621884C2311yescharacteristic
246C2×D344C2311yescharacteristic
247C2×D344C2311yescharacteristic
248C2×D344C2311yescharacteristic
249C2×#10621882C2311yescharacteristic
250C2×#10621882C2311yescharacteristic
251C2×#10621882C2311yescharacteristic
252C2×#10621882C2311yescharacteristic
253C2×#10621877C2311yescharacteristic
254C2×#10621872C2311yescharacteristic
255C2×#10621872C2311yescharacteristic
256C22×C43⋊C8C2311yescharacteristic
257#13063324C2311yescharacteristic
258#13063324C2311yescharacteristic
259#13063324C2311yescharacteristic
260#13063323—21no—
261#13063323—21no—
262#13063323C2311yescharacteristic
263#13063323C2311yescharacteristic
264#13063323C2311yescharacteristic
265#13063323C2311yescharacteristic
266#13063322C2311yescharacteristic
267#13063321C2311yescharacteristic
268#13063321C2311yescharacteristic
269#13063321C2311yescharacteristic
270#13063320—21no—
271#13063319—21no—
272#13063318—21no—
273#13063318—21no—
274#13063315—21no—
275#13063315—21no—
276#13063314—21no—
277#13063314—21no—
278#13063314C2311yescharacteristic
279#13063313C2311yescharacteristic
280#13063312C2311yescharacteristic
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#13063308—21no—
290#13063308—21no—
291#13063308—21no—
292#13063307—21no—
293#13063306—21no—
294#13063305C2311yescharacteristic
295#13063304C2311yescharacteristic
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063303—21no—
302#13063303—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302—21no—
306#13063301—21no—
307#13063301—21no—
308#13063301C2311yescharacteristic
309#13063300—21no—
310#13063300—21no—
311#13063300C2311yescharacteristic
312#13063300C2311yescharacteristic
313#13063299—21no—
314#13063299—21no—
315#13063299C2311yescharacteristic
316#13063299C2311yescharacteristic
317#13063299C2311yescharacteristic
318#13063298—21no—
319#13063298—21no—
320#13063298—21no—
321#13063298—21no—
322#13063298—21no—
323#13063298—21no—
324#13063298—21no—
325#13063297—21no—
326#13063297—21no—
327#13063297—21no—
328#13063297—21no—
329#13063297—21no—
330#13063297—21no—
331#13063297—21no—
332#13063297—21no—
333#13063295—21no—
334#13063295—21no—
335#13063295—21no—
336#13063295—21no—
337#13063293—21no—
338#13063293—21no—
339Q8×Dic43C2311yescharacteristic
340C4×Dic86—21no—
341C4×Dic86C2311yescharacteristic
342C4×Dic86C2311yescharacteristic
343#13063290—21no—
344#13063290D411yescharacteristic
345#13063290C2311yescharacteristic
346C4×D172C2311yescharacteristic
347D4×Dic43—21no—
348D4×Dic43D411yescharacteristic
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351#13063287—21no—
352#13063287—21no—
353#13063287—21no—
354#13063287—21no—
355#13063287—21no—
356#13063287C2311yescharacteristic
357#13063287C2311yescharacteristic
358#13063287C2311yescharacteristic
359#13063287C2311yescharacteristic
360#13063287C2311yescharacteristic
361#13063287C2311yescharacteristic
362#13063287C2311yescharacteristic
363#13063287C2311yescharacteristic
364C4×C22⋊D43—21no—
365C4×C22⋊D43—21no—
366C4×C22⋊D43—21no—
367C4×C22⋊D43—21no—
368C4×C22⋊D43C2311yescharacteristic
369C4×C22⋊D43C2311yescharacteristic
370(C22⋊D43)⋊C4—21no—
371(C22⋊D43)⋊C4—21no—
372(C22⋊D43)⋊C4—21no—
373(C22⋊D43)⋊C4—21no—
374(C22⋊D43)⋊C4—21no—
375(C22⋊D43)⋊C4—21no—
376(C22⋊D43)⋊C4—21no—
377(C22⋊D43)⋊C4D411yescharacteristic
378(C22⋊D43)⋊C4D411yescharacteristic
379#13063283D411yescharacteristic
380#13063282—21no—
381#13063282—21no—
382#13063281—21no—
383#13063281—21no—
384#13063281D411yescharacteristic
385#13063281D411yescharacteristic
386C2×Dic43⋊C4—21no—
387C2×Dic43⋊C4—21no—
388C2×Dic43⋊C4—21no—
389C4⋊C4×D43—21no—
390C4⋊C4×D43C2311yescharacteristic
391C2×(C2×D43)⋊C4—21no—
392C2×(C2×D43)⋊C4—21no—
393C22⋊C4×D43—21no—
394C2×C4×Dic43C2311yescharacteristic
395C2×C4×Dic43C2311yescharacteristic
396C42×D43C2311yescharacteristic
397#13063259C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063258C2311yescharacteristic
400#13063258C2311yescharacteristic
401#13063258C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406Dic43⋊C8C2311yescharacteristic
407Dic43⋊C8C2311yescharacteristic
408Dic43⋊C8C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
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×Q8×C43C2311yescharacteristic
445C2×SD16×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×D8×C43C2311yescharacteristic
448C2×M16×C43C2311yescharacteristic
449C22×C8×C43C2311yescharacteristic
450C4⋊Q8×C43C2311yescharacteristic
451#124×C43—21no—
452#124×C43C2311yescharacteristic
453#123×C43—21no—
454#123×C43—21no—
455C22⋊Q8×C43—21no—
456C22⋊Q8×C43—21no—
457C22⋊Q8×C43C2311yescharacteristic
458#121×C43—21no—
459#121×C43C2311yescharacteristic
460#121×C43C2311yescharacteristic
461#121×C43C2311yescharacteristic
462C4×Q8×C43C2311yescharacteristic
463C4×D4×C43—21no—
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466C2×C4⋊C4×C43C2311yescharacteristic
467C2×C4⋊C4×C43C2311yescharacteristic
468#107×C43C2311yescharacteristic
469#107×C43C2311yescharacteristic
470#107×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482C22⋊C8×C43C2311yescharacteristic
483C22⋊C8×C43C2311yescharacteristic
484#97×C43C2311yescharacteristic
485C23×D43—21no—
486C23×D43—21no—
487C23×D43—21no—
488#41×C43—41no—
489#41×C43—41no—
490#41×C43—44no—
491C2×Q8×C43—21no—
492C2×Q8×C43—21no—
493C2×Q8×C43—41no—
494C2×Q8×C43—41no—
495C2×Q8×C43C2411yescharacteristic
496C2×Q8×C43C2411yescharacteristic
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
504C22×C4×C43—21no—
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⋊D43—21no—
523C2×C22⋊D43C2×D411yescharacteristic
524C2×C22⋊D43C2×D411yescharacteristic
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43—21no—
528C22×Dic43—21no—
529C22×Dic43C2×D411yescharacteristic
530C22×Dic43C2×D411yescharacteristic
531C22×Dic43C2×D411yescharacteristic
532C22×Dic43C2×D411yescharacteristic
533#10621902—44no—
534#10621902—41no—
535#10621902—41no—
536Q8×D43—44no—
537#10621900—24no—
538#10621900—41no—
539#10621900—41no—
540#10621900—44no—
541#10621900—44no—
542#10621900—44no—
543D4×D43—22no—
544D4×D43—41no—
545D4×D43—44no—
546D4×D43—44no—
547D4×D43—44no—
548#10621898—44no—
549#10621898—41no—
550#10621898—41no—
551#10621898—44no—
552#10621898—44no—
553C2×D172—21no—
554C2×D172—21no—
555C2×D172—21no—
556C2×D172—21no—
557C2×D172—21no—
558C2×D172—21no—
559C2×D172—21no—
560C2×D172—22no—
561C2×D172—22no—
562C2×D172—41no—
563C2×D172—41no—
564C2×D172C2411yescharacteristic
565C2×D172C2411yescharacteristic
566C2×D172C2411yescharacteristic
567C2×D172C2411yescharacteristic
568C2×C4×D43—21no—
569C2×C4×D43—21no—
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—21no—
580C2×C4×D43—44no—
581C2×C4×D43—44no—
582C2×C4×D43—44no—
583C2×C4×D43C2×D411yescharacteristic
584C2×C4×D43C2×D411yescharacteristic
585C2×C4×D43C2411yescharacteristic
586C2×Dic86—21no—
587C2×Dic86—21no—
588C2×Dic86—21no—
589C2×Dic86—21no—
590C2×Dic86—41no—
591C2×Dic86—41no—
592C2×Dic86C2×D411yescharacteristic
593C2×Dic86C2411yescharacteristic
594C2×Dic86C2411yescharacteristic
595SD16×C43—41no—
596SD16×C43—41no—
597D8×C43—41no—
598M16×C43—41no—
599C2×C8×C43—41no—
600C2×C8×C43C2411yescharacteristic
601C2×C8×C43C2411yescharacteristic
602C2×C8×C43C2411yescharacteristic
603C2×C8×C43C2411yescharacteristic
604C4⋊C4×C43—21no—
605C4⋊C4×C43—21no—
606C4⋊C4×C43—21no—
607C4⋊C4×C43—21no—
608C4⋊C4×C43—21no—
609C4⋊C4×C43C2×D411yescharacteristic
610C4⋊C4×C43C2411yescharacteristic
611C4⋊C4×C43C2411yescharacteristic
612C4⋊C4×C43C2411yescharacteristic
613C4⋊C4×C43C2411yescharacteristic
614C22⋊C4×C43—21no—
615C22⋊C4×C43—21no—
616C22⋊C4×C43—21no—
617C22⋊C4×C43—21no—
618C22⋊C4×C43—21no—
619C22⋊C4×C43—21no—
620C22⋊C4×C43—21no—
621C22⋊C4×C43C2×D411yescharacteristic
622C22⋊C4×C43C2×D411yescharacteristic
623C42×C43—21no—
624C42×C43C2411yescharacteristic
625C22⋊Dic43—21no—
626C22⋊Dic43—21no—
627C22⋊Dic43—21no—
628C22⋊Dic43—21no—
629C22⋊Dic43—21no—
630C22⋊Dic43C2×D411yescharacteristic
631C22⋊Dic43C2×D411yescharacteristic
632#10621884—22no—
633#10621884—22no—
634#10621884—41no—
635#10621884—41no—
636#10621884—41no—
637#10621884—41no—
638#10621883—41no—
639#10621883—41no—
640#10621882—22no—
641#10621882—41no—
642#10621882—41no—
643#10621882—41no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4—21no—
648(C2×D43)⋊C4—21no—
649(C2×D43)⋊C4—21no—
650(C2×D43)⋊C4—21no—
651(C2×D43)⋊C4—21no—
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
666C4⋊Dic43—21no—
667C4⋊Dic43—21no—
668C4⋊Dic43C2×D411yescharacteristic
669C4⋊Dic43C2411yescharacteristic
670C4⋊Dic43C2411yescharacteristic
671Dic43⋊C4—21no—
672Dic43⋊C4—21no—
673Dic43⋊C4—21no—
674Dic43⋊C4—21no—
675Dic43⋊C4—21no—
676Dic43⋊C4—21no—
677Dic43⋊C4—21no—
678Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
688Dic43⋊C4C2×D411yescharacteristic
689Dic43⋊C4C2×D411yescharacteristic
690Dic43⋊C4C2×D411yescharacteristic
691C4×Dic43—21no—
692C4×Dic43—21no—
693C4×Dic43—21no—
694C4×Dic43C2×D411yescharacteristic
695C4×Dic43C2×D411yescharacteristic
696C4×Dic43C2×D411yescharacteristic
697C4×Dic43C2×D411yescharacteristic
698C4×Dic43C2×D411yescharacteristic
699C4×Dic43C2×D411yescharacteristic
700C4×Dic43C2411yescharacteristic
701C4×Dic43C2411yescharacteristic
702C4×Dic43C2411yescharacteristic
703#10621877—41no—
704C2×C43⋊C8—41no—
705C2×C43⋊C8C2411yescharacteristic
706C2×C43⋊C8C2411yescharacteristic
707C2×C43⋊C8C2411yescharacteristic
708C2×C43⋊C8C2411yescharacteristic
709D344—22no—
710D344—41no—
711D344—41no—
712#10621873—22no—
713#10621873—22no—
714#10621873—41no—
715#10621873—41no—
716#10621873—41no—
717#10621873—41no—
718#10621872—41no—
719#10621872—41no—
720C23×C43—21no—
721C23×C43—21no—
722C23×C43C22×D411yescharacteristic
723C23×C43C22×D411yescharacteristic
724C22×D43—21no—
725C22×D43—21no—
726C22×D43—21no—
727C22×D43—21no—
728C22×D43—42no—
729C22×D43—42no—
730C22×D43—42no—
731C22×D43—42no—
732C22×D43—42no—
733C22×D43—42no—
734C22×D43—81no—
735C22×D43—81no—
736C22×D43—81no—
737C22×D43C22×D411yescharacteristic
738Q8×C43—21no—
739Q8×C43—21no—
740Q8×C43—21no—
741Q8×C43—21no—
742Q8×C43—42no—
743Q8×C43—81no—
744D4×C43—22no—
745D4×C43—21no—
746D4×C43—21no—
747D4×C43—21no—
748D4×C43—21no—
749D4×C43—42no—
750D4×C43—42no—
751D4×C43—42no—
752D4×C43—81no—
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—21no—
760C2×C4×C43—21no—
761C2×C4×C43—21no—
762C2×C4×C43—21no—
763C2×C4×C43—42no—
764C2×C4×C43—42no—
765C2×C4×C43—42no—
766C2×C4×C43—81no—
767C2×C4×C43—81no—
768C2×C4×C43C22×D411yescharacteristic
769C2×C4×C43C22×D411yescharacteristic
770C2×C4×C43C22×D411yescharacteristic
771C2×C4×C43C22×D411yescharacteristic
772C2×C4×C43C2511yescharacteristic
773C22⋊D43—22no—
774C22⋊D43—22no—
775C22⋊D43—42no—
776C22⋊D43—42no—
777C22⋊D43—42no—
778C22⋊D43—42no—
779C22⋊D43—42no—
780C22⋊D43—42no—
781C22⋊D43—42no—
782C22⋊D43—42no—
783C22⋊D43—81no—
784C22⋊D43—81no—
785C22⋊D43—81no—
786C22⋊D43—81no—
787C2×Dic43—22no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—41no—
793C2×Dic43—41no—
794C2×Dic43—42no—
795C2×Dic43—42no—
796C2×Dic43—81no—
797C2×Dic43—81no—
798C2×Dic43AGL(1,ℤ/8)14yescomplemented
799C2×Dic43C22×D411yescharacteristic
800C2×Dic43C22×D411yescharacteristic
801C2×Dic43C22×D411yescharacteristic
802C2×Dic43C22×D411yescharacteristic
803C2×Dic43C22×D411yescharacteristic
804C2×Dic43C22×D411yescharacteristic
805C2×Dic43C22×D411yescharacteristic
806D172—21no—
807D172—21no—
808D172—21no—
809D172—21no—
810D172—21no—
811D172—21no—
812D172—21no—
813D172—42no—
814D172—42no—
815D172—42no—
816D172—42no—
817D172—42no—
818D172—81no—
819D172—81no—
820D172H(5,𝔽2)12yes—
821C4×D43—21no—
822C4×D43—21no—
823C4×D43—22no—
824C4×D43—41no—
825C4×D43—42no—
826C4×D43—42no—
827C4×D43—42no—
828C4×D43—42no—
829C4×D43—42no—
830C4×D43—42no—
831C4×D43—42no—
832C4×D43—42no—
833C4×D43—42no—
834C4×D43—42no—
835C4×D43—81no—
836C4×D43—81no—
837Dic86—22no—
838Dic86—21no—
839Dic86—21no—
840Dic86—21no—
841Dic86—21no—
842Dic86—42no—
843Dic86—42no—
844Dic86—42no—
845Dic86—81no—
846C8×C43—21no—
847C8×C43—21no—
848C8×C43—21no—
849C8×C43—21no—
850C43⋊C8—21no—
851C43⋊C8—21no—
852C43⋊C8—21no—
853C43⋊C8—21no—
854#61962—431nomaximal, Sylow
855C22×C43—21no—
856C22×C43—21no—
857C22×C43—21no—
858C22×C43—21no—
859C22×C43—21no—
860C22×C43—41no—
861C22×C43—41no—
862C22×C43—41no—
863C22×C43—41no—
864C22×C43—41no—
865C22×C43—41no—
866C22×C43C2×AGL(1,ℤ/8)12yes—
867C22×C43C23×D411yescharacteristic
868C2×D43—21no—
869C2×D43—22no—
870C2×D43—21no—
871C2×D43—21no—
872C2×D43—41no—
873C2×D43—41no—
874C2×D43—41no—
875C2×D43—41no—
876C2×D43—41no—
877C2×D43—41no—
878C2×D43—41no—
879C2×D43—41no—
880C2×D43—41no—
881C2×D43—41no—
882C2×D43—41no—
883C2×D43—84no—
884C2×D43—84no—
885C2×D43—84no—
886C4×C43—21no—
887C4×C43—21no—
888C4×C43—21no—
889C4×C43—21no—
890C4×C43—41no—
891C4×C43—41no—
892C4×C43—41no—
893C4×C43—41no—
894C4×C43—41no—
895C4×C43—41no—
896C4×C43C2×H(5,𝔽2)11yescharacteristic
897C4×C43#58511yescharacteristic
898Dic43—21no—
899Dic43—21no—
900Dic43—21no—
901Dic43—21no—
902Dic43—21no—
903Dic43—41no—
904Dic43—41no—
905Dic43—41no—
906Dic43—41no—
907Dic43C2×AGL(1,ℤ/8)12yes—
908Dic43C2×AGL(1,ℤ/8)12yes—
909#3511—431no—
910D4×#41—431no—
911#3397—431no—
912#3397—431no—
913#3367—431no—
914#3367—431no—
915#3330—431no—
916#3330—431no—
917#3308—431no—
918#3308—431no—
919#3308—431no—
920#3308D4311yescharacteristic, complemented
921#3272—431no—
922#3272—431no—
923#3265—431no—
924#3265—431no—
925#3265—431no—
926#3265—431no—
927#3254—431no—
928#3254—431no—
929#3245—431no—
930#3214—431no—
931#3214—431no—
932#3206—431no—
933#3110—431no—
934#3110—431no—
935#3100—431no—
936#3036—431no—
937#3036—431no—
938C2×#461—431no—
939#2989—431no—
940C2×C43—22no—
941C2×C43—41no—
942C2×C43—81no—
943C2×C43—81no—
944C2×C43#348811yescharacteristic
945C2×C43C22×AGL(1,ℤ/8)11yescharacteristic
946C2×C43#358611yescharacteristic
947D43—41no—
948D43—42no—
949D43—81no—
950D43—81no—
951D43—81no—
952C22×#41—861no—
953C2×AGL(1,ℤ/8)—431no—
954C2×AGL(1,ℤ/8)—431no—
955C2×AGL(1,ℤ/8)—431no—
956C2×AGL(1,ℤ/8)—431no—
957C22×SD16—431no—
958C22×SD16—431no—
959#556—431no—
960#556—431no—
961#555—861no—
962#554—861no—
963#553—861no—
964#553—861no—
965#550—431no—
966D4×Q8—431no—
967#548—431no—
968#548—431no—
969#548—431no—
970#548—861no—
971#548C2×D4311yescharacteristic, complemented
972#547—431no—
973#547—431no—
974#547—431no—
975#547—431no—
976#547C2×D4311yescharacteristic
977#546—861no—
978#546—861no—
979#546—861no—
980D42—431no—
981D42—431no—
982D42—431no—
983#542—861no—
984#542—861no—
985#537—861no—
986#533—431no—
987#533—431no—
988#532—431no—
989#532—431no—
990#532—431no—
991#532—431no—
992#532—431no—
993#532—431no—
994C2×C4⋊Q8—431no—
995#525—861no—
996#525—861no—
997#525—861no—
998#520—861no—
999C4×#41—431no—
1000C2×C4×D4—431no—
1001C2×C4×D4—431no—
1002C2×C4×D4—431no—
1003#496—431no—
1004#496—431no—
1005#496—431no—
1006#496—431no—
1007#492—431no—
1008#492—431no—
1009#489—431no—
1010#489—431no—
1011#489—431no—
1012#489C2×D4311yescharacteristic, complemented
1013#487—431no—
1014#487—431no—
1015#484—431no—
1016#484—431no—
1017#484—431no—
1018#484C2×D4311yescharacteristic, complemented
1019#480—431no—
1020#480C2×D4311yescharacteristic, complemented
1021#477—431no—
1022#477—431no—
1023#477—431no—
1024#477C2×D4311yescharacteristic, complemented
1025#474—431no—
1026#474—431no—
1027#474—431no—
1028#474—431no—
1029#474—431no—
1030#474—431no—
1031#468—431no—
1032#468—431no—
1033#468—431no—
1034#468—431no—
1035#468—431no—
1036#468—431no—
1037#468—431no—
1038#468C2×D4311yescharacteristic, complemented
1039#466—431no—
1040#466—431no—
1041#466—431no—
1042#466C2×D4311yescharacteristic, complemented
1043#463—431no—
1044#463—431no—
1045#463—431no—
1046#463—431no—
1047#463—431no—
1048#463—431no—
1049#463—431no—
1050#463C2×D4311yescharacteristic, complemented
1051#461—431no—
1052#461—431no—
1053#461—431no—
1054#461—431no—
1055#461—431no—
1056#461—431no—
1057#461—431no—
1058#461—431no—
1059#461—431no—
1060#461—431no—
1061#461—431no—
1062#461—431no—
1063#460—431no—
1064#460—431no—
1065#460—431no—
1066#460—431no—
1067#459—431no—
1068#459—431no—
1069#459—431no—
1070#459—431no—
1071#459—431no—
1072#459—431no—
1073#450—431no—
1074#450—431no—
1075#450—431no—
1076#450—431no—
1077#449—431no—
1078#449—431no—
1079#449—431no—
1080#449—431no—
1081#449—431no—
1082#449—431no—
1083#449—431no—
1084#449C2×D4311yescharacteristic, complemented
1085#448—431no—
1086#448—431no—
1087#448—431no—
1088#448C2×D4311yescharacteristic, complemented
1089#447—431no—
1090#447—431no—
1091#446—431no—
1092#446—431no—
1093#440—431no—
1094#440—431no—
1095#440—431no—
1096#440—431no—
1097#440—431no—
1098#440—431no—
1099#440—431no—
1100#440C2×D4311yescharacteristic, complemented
1101C4×D8—431no—
1102C4×D8—431no—
1103C4×D8—431no—
1104C4×D8—431no—
1105#436—431no—
1106#436—431no—
1107#435—431no—
1108#435—431no—
1109#435—431no—
1110#435C2×D4311yescharacteristic, complemented
1111#432—431no—
1112#432—431no—
1113#431—431no—
1114#423—431no—
1115#423—431no—
1116C2×C4⋊C8—431no—
1117#417—431no—
1118#417—431no—
1119#417—431no—
1120#417C2×D4311yescharacteristic, complemented
1121C2×#103—431no—
1122C2×#103C2×D4311yescharacteristic, complemented
1123C43#6196211yescharacteristic, complemented, Sylow
1124C2×#41—21no—
1125C2×#41—431no—
1126C2×#41—431no—
1127C2×#41—431no—
1128C2×#41—431no—
1129C2×#41—861no—
1130C2×#41—861no—
1131C2×#41—861no—
1132C2×#41—861no—
1133C2×#41—861no—
1134C2×#41—861no—
1135C2×#41—861no—
1136C2×#41—1728no—
1137C2×#41C22×D4311yescharacteristic
1138C22×Q8—431no—
1139C22×Q8—861no—
1140C22×Q8C22×D4311yescharacteristic
1141C22×D4—431no—
1142C22×D4—431no—
1143C22×D4—431no—
1144C22×D4—861no—
1145C22×D4—861no—
1146C22×D4—861no—
1147C23×C4—861no—
1148C23×C4—861no—
1149C23×C4—861no—
1150AGL(1,ℤ/8)—1722no—
1151AGL(1,ℤ/8)—1722no—
1152AGL(1,ℤ/8)—1722no—
1153AGL(1,ℤ/8)—1722no—
1154C2×SD16—431no—
1155C2×SD16—431no—
1156C2×SD16—431no—
1157C2×SD16—431no—
1158C2×SD16—431no—
1159C2×SD16—431no—
1160C2×SD16—431no—
1161C2×SD16—431no—
1162C2×SD16—431no—
1163C2×SD16—431no—
1164C2×SD16—431no—
1165C2×SD16—431no—
1166C2×SD16—431no—
1167C2×SD16—431no—
1168C2×SD16—1722no—
1169C2×SD16—1722no—
1170C2×SD16C22×D4311yescharacteristic
1171C2×SD16C22×D4311yescharacteristic
1172C2×D8—431no—
1173C2×D8—431no—
1174C2×D8—431no—
1175C2×D8—431no—
1176C2×D8—431no—
1177C2×D8—431no—
1178C2×D8—431no—
1179C2×D8C22×D4311yescharacteristic
1180C2×M16—431no—
1181C2×M16—431no—
1182C2×M16—431no—
1183C2×M16C22×D4311yescharacteristic
1184C22×C8—431no—
1185C22×C8C22×D4311yescharacteristic
1186C4⋊Q8—431no—
1187C4⋊Q8—431no—
1188C4⋊Q8—431no—
1189C4⋊Q8—431no—
1190C4⋊Q8—431no—
1191C4⋊Q8—431no—
1192C4⋊Q8—431no—
1193C4⋊Q8—861no—
1194C4⋊Q8—861no—
1195C4⋊Q8C22×D4311yescharacteristic
1196#127—431no—
1197#127—431no—
1198#127—431no—
1199#127—431no—
1200#126—861no—
1201#126—861no—
1202#126—861no—
1203#126—861no—
1204#125—861no—
1205#125—861no—
1206#124—21no—
1207#124—431no—
1208#124—431no—
1209#124—431no—
1210#124—861no—
1211#124—861no—
1212#124—861no—
1213#124—861no—
1214#124—861no—
1215#124—861no—
1216#124—861no—
1217#124C22×D4311yescharacteristic
1218#123—21no—
1219#123—21no—
1220#123—861no—
1221#123—861no—
1222#123—861no—
1223#123—861no—
1224#123—861no—
1225#123—861no—
1226#123—861no—
1227#123—861no—
1228C22⋊Q8—21no—
1229C22⋊Q8—21no—
1230C22⋊Q8—431no—
1231C22⋊Q8—431no—
1232C22⋊Q8—431no—
1233C22⋊Q8—861no—
1234C22⋊Q8—861no—
1235C22⋊Q8—861no—
1236C22⋊Q8—861no—
1237C22⋊Q8—861no—
1238C22⋊Q8—861no—
1239C22⋊Q8—861no—
1240C22⋊Q8—861no—
1241C22⋊Q8—861no—
1242C22⋊Q8—861no—
1243C22⋊Q8—861no—
1244C22⋊Q8—861no—
1245C22⋊Q8C22×D4311yescharacteristic
1246#121—21no—
1247#121—431no—
1248#121—431no—
1249#121—431no—
1250#121—431no—
1251#121—431no—
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#121—861no—
1271#121C22×D4311yescharacteristic
1272#121C22×D4311yescharacteristic
1273#121C22×D4311yescharacteristic
1274#120—861no—
1275#120—861no—
1276#120—861no—
1277#120—861no—
1278#120—861no—
1279#120—861no—
1280C4×Q8—431no—
1281C4×Q8—431no—
1282C4×Q8—431no—
1283C4×Q8—431no—
1284C4×Q8—431no—
1285C4×Q8—861no—
1286C4×Q8—861no—
1287C4×Q8C22×D4311yescharacteristic
1288C4×D4—21no—
1289C4×D4—431no—
1290C4×D4—431no—
1291C4×D4—431no—
1292C4×D4—431no—
1293C4×D4—431no—
1294C4×D4—431no—
1295C4×D4—431no—
1296C4×D4—431no—
1297C4×D4—431no—
1298C4×D4—431no—
1299C4×D4—431no—
1300C4×D4—431no—
1301C4×D4—431no—
1302C4×D4—431no—
1303C4×D4—431no—
1304C4×D4—431no—
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×D4—861no—
1317C4×D4—861no—
1318C4×D4—861no—
1319C4×D4—861no—
1320C4×D4—861no—
1321C4×D4—861no—
1322C4×D4C22×D4311yescharacteristic
1323C4×D4C22×D4311yescharacteristic
1324#117—431no—
1325#117—431no—
1326#117—431no—
1327#117—861no—
1328#117—861no—
1329#117—861no—
1330#117—861no—
1331C2×C4⋊C4—431no—
1332C2×C4⋊C4—861no—
1333C2×C4⋊C4—861no—
1334C2×C4⋊C4—861no—
1335C2×C4⋊C4—861no—
1336C2×C4⋊C4C22×D4311yescharacteristic
1337C2×C4⋊C4C22×D4311yescharacteristic
1338C2×C22⋊C4—861no—
1339C2×C22⋊C4—861no—
1340C2×C22⋊C4—861no—
1341C2×C42—431no—
1342C2×C42—431no—
1343C2×C42—431no—
1344#107—431no—
1345#107—431no—
1346#107—431no—
1347#107—431no—
1348#107—431no—
1349#107C22×D4311yescharacteristic
1350#107C22×D4311yescharacteristic
1351#107C22×D4311yescharacteristic
1352C4⋊C8—431no—
1353C4⋊C8—431no—
1354C4⋊C8—431no—
1355C4⋊C8—431no—
1356C4⋊C8—431no—
1357C4⋊C8—431no—
1358C4⋊C8—431no—
1359C4⋊C8—431no—
1360C4⋊C8—431no—
1361C4⋊C8C22×D4311yescharacteristic
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#103C22×D4311yescharacteristic
1373#103C22×D4311yescharacteristic
1374#103C22×D4311yescharacteristic
1375#103C22×D4311yescharacteristic
1376#103C22×D4311yescharacteristic
1377#103C22×D4311yescharacteristic
1378#102—431no—
1379#102—431no—
1380#102—431no—
1381#102—431no—
1382#102—431no—
1383#102—431no—
1384#102—431no—
1385#102—431no—
1386#102—431no—
1387#102—431no—
1388#102—431no—
1389#102—431no—
1390#102C22×D4311yescharacteristic
1391#102C22×D4311yescharacteristic
1392#102C22×D4311yescharacteristic
1393#102C22×D4311yescharacteristic
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
1404C4×C8—431no—
1405C4×C8—431no—
1406C24—861no—
1407C24—861no—
1408C24—861no—
1409#41—41no—
1410#41—41no—
1411#41—44no—
1412#41—864no—
1413#41—1721no—
1414#41—1721no—
1415#41—1724no—
1416#41—1724no—
1417#41—1724no—
1418#41—1724no—
1419#41—1724no—
1420#41—1721no—
1421#41—1721no—
1422#41—1721no—
1423#41—1721no—
1424#41—1724no—
1425#41—1724no—
1426C2×Q8—21no—
1427C2×Q8—21no—
1428C2×Q8—41no—
1429C2×Q8—41no—
1430C2×Q8—431no—
1431C2×Q8—431no—
1432C2×Q8—431no—
1433C2×Q8—861no—
1434C2×Q8—861no—
1435C2×Q8—861no—
1436C2×Q8—861no—
1437C2×Q8—1721no—
1438C2×Q8—1721no—
1439C2×Q8—1724no—
1440C2×Q8C23×D4311yescharacteristic
1441C2×Q8C23×D4311yescharacteristic
1442C2×D4—21no—
1443C2×D4—21no—
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—431no—
1447C2×D4—431no—
1448C2×D4—431no—
1449C2×D4—431no—
1450C2×D4—431no—
1451C2×D4—431no—
1452C2×D4—862no—
1453C2×D4—862no—
1454C2×D4—861no—
1455C2×D4—861no—
1456C2×D4—861no—
1457C2×D4—861no—
1458C2×D4—861no—
1459C2×D4—861no—
1460C2×D4—861no—
1461C2×D4—861no—
1462C2×D4—861no—
1463C2×D4—861no—
1464C2×D4—862no—
1465C2×D4—861no—
1466C2×D4—861no—
1467C2×D4—861no—
1468C2×D4—861no—
1469C2×D4—861no—
1470C2×D4—861no—
1471C2×D4—861no—
1472C2×D4—861no—
1473C2×D4—861no—
1474C2×D4—1721no—
1475C2×D4—1721no—
1476C2×D4—1721no—
1477C2×D4—1724no—
1478C2×D4—1724no—
1479C2×D4—1724no—
1480C2×D4D4×D4311yescharacteristic
1481C2×D4C23×D4311yescharacteristic
1482C2×D4C23×D4311yescharacteristic
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—21no—
1488C22×C4—431no—
1489C22×C4—431no—
1490C22×C4—431no—
1491C22×C4—431no—
1492C22×C4—431no—
1493C22×C4—431no—
1494C22×C4—431no—
1495C22×C4—861no—
1496C22×C4—861no—
1497C22×C4—861no—
1498C22×C4—861no—
1499C22×C4—861no—
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—1724no—
1512C22×C4—1724no—
1513C22×C4—1724no—
1514C22×C4C23×D4311yescharacteristic
1515C22×C4C23×D4311yescharacteristic
1516SD16—41no—
1517SD16—41no—
1518SD16—862no—
1519SD16—862no—
1520SD16—862no—
1521SD16—862no—
1522SD16—1721no—
1523SD16—1721no—
1524SD16—1721no—
1525SD16—1721no—
1526SD16—1721no—
1527SD16—1721no—
1528SD16—1721no—
1529SD16—1721no—
1530SD16—1721no—
1531SD16—1721no—
1532D8—41no—
1533D8—862no—
1534D8—862no—
1535D8—1721no—
1536D8—1721no—
1537D8—1721no—
1538D8—1721no—
1539D8—1721no—
1540M16—41no—
1541M16—1721no—
1542M16—1721no—
1543M16—1721no—
1544C2×C8—41no—
1545C2×C8—431no—
1546C2×C8—431no—
1547C2×C8—431no—
1548C2×C8—431no—
1549C2×C8—1721no—
1550C2×C8C23×D4311yescharacteristic
1551C2×C8C23×D4311yescharacteristic
1552C2×C8C23×D4311yescharacteristic
1553C2×C8C23×D4311yescharacteristic
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—431no—
1560C4⋊C4—431no—
1561C4⋊C4—431no—
1562C4⋊C4—431no—
1563C4⋊C4—431no—
1564C4⋊C4—431no—
1565C4⋊C4—431no—
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⋊C4—861no—
1582C4⋊C4—861no—
1583C4⋊C4—861no—
1584C4⋊C4D4×D4311yescharacteristic
1585C4⋊C4C23×D4311yescharacteristic
1586C4⋊C4C23×D4311yescharacteristic
1587C4⋊C4C23×D4311yescharacteristic
1588C4⋊C4C23×D4311yescharacteristic
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—431no—
1597C22⋊C4—431no—
1598C22⋊C4—431no—
1599C22⋊C4—431no—
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⋊C4—861no—
1623C22⋊C4—861no—
1624C22⋊C4—861no—
1625C22⋊C4D4×D4311yescharacteristic
1626C22⋊C4D4×D4311yescharacteristic
1627C42—21no—
1628C42—431no—
1629C42—431no—
1630C42—431no—
1631C42—431no—
1632C42—431no—
1633C42—431no—
1634C42—431no—
1635C42—431no—
1636C42—431no—
1637C42—861no—
1638C42—861no—
1639C42—861no—
1640C42C23×D4311yescharacteristic
1641C23—21no—
1642C23—21no—
1643C23—431no—
1644C23—861no—
1645C23—861no—
1646C23—861no—
1647C23—861no—
1648C23—3441no—
1649C23—3441no—
1650C23—3441no—
1651C23—1722no—
1652C23—1722no—
1653C23—1722no—
1654C23—1722no—
1655C23—1722no—
1656C23—1722no—
1657C23C2×D4×D4311yescharacteristic
1658C23C2×D4×D4311yescharacteristic
1659Q8—21no—
1660Q8—21no—
1661Q8—21no—
1662Q8—21no—
1663Q8—42no—
1664Q8—81no—
1665Q8—862no—
1666Q8—861no—
1667Q8—861no—
1668Q8—861no—
1669Q8—861no—
1670Q8—3441no—
1671Q8—1722no—
1672Q8—1722no—
1673Q8—1722no—
1674D4—22no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—42no—
1680D4—42no—
1681D4—42no—
1682D4—81no—
1683D4—432no—
1684D4—862no—
1685D4—862no—
1686D4—861no—
1687D4—861no—
1688D4—861no—
1689D4—861no—
1690D4—861no—
1691D4—861no—
1692D4—861no—
1693D4—3441no—
1694D4—3441no—
1695D4—3441no—
1696D4—3441no—
1697D4—3441no—
1698D4—3441no—
1699D4—1722no—
1700D4—1722no—
1701D4—1722no—
1702D4—1722no—
1703D4—1722no—
1704D4—1722no—
1705D4—1722no—
1706D4—1722no—
1707D4—1722no—
1708D4—1722no—
1709D4—1722no—
1710D4—1722no—
1711D4—1722no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—42no—
1723C2×C4—42no—
1724C2×C4—42no—
1725C2×C4—81no—
1726C2×C4—81no—
1727C2×C4—434no—
1728C2×C4—431no—
1729C2×C4—431no—
1730C2×C4—431no—
1731C2×C4—431no—
1732C2×C4—431no—
1733C2×C4—431no—
1734C2×C4—431no—
1735C2×C4—862no—
1736C2×C4—862no—
1737C2×C4—861no—
1738C2×C4—861no—
1739C2×C4—861no—
1740C2×C4—861no—
1741C2×C4—861no—
1742C2×C4—861no—
1743C2×C4—3441no—
1744C2×C4—3441no—
1745C2×C4—3441no—
1746C2×C4—3441no—
1747C2×C4—1721no—
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×C4—1722no—
1757C2×C4—1722no—
1758C2×C4—1722no—
1759C2×C4—1722no—
1760C2×C4—1721no—
1761C2×C4—1721no—
1762C2×C4C2×D4×D4311yescharacteristic
1763C2×C4C2×D4×D4311yescharacteristic
1764C2×C4C2×D4×D4311yescharacteristic
1765C2×C4C2×D4×D4311yescharacteristic
1766C2×C4C24×D4311yescharacteristic
1767C8—21no—
1768C8—21no—
1769C8—21no—
1770C8—21no—
1771C8—861no—
1772C8—861no—
1773C8—861no—
1774C8—861no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—861no—
1787C22—861no—
1788C22—861no—
1789C22—862no—
1790C22—3444no—
1791C22—3444no—
1792C22—3444no—
1793C22—1721no—
1794C22—1721no—
1795C22—1721no—
1796C22—1721no—
1797C22—1721no—
1798C22—1721no—
1799C22—1721no—
1800C22—1721no—
1801C22—1721no—
1802C22—1721no—
1803C22—1721no—
1804C22AGL(1,ℤ/8)×D4312yes—
1805C22C22×D4×D4311yescharacteristic
1806C4—21no—
1807C4—21no—
1808C4—21no—
1809C4—21no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—432no—
1817C4—432no—
1818C4—861no—
1819C4—861no—
1820C4—861no—
1821C4—861no—
1822C4—861no—
1823C4—1721no—
1824C4—1721no—
1825C4—1721no—
1826C4—1721no—
1827C4H(5,𝔽2)×D4311yescharacteristic
1828C4#1458373511yescharacteristic
1829C2—22no—
1830C2—41no—
1831C2—81no—
1832C2—81no—
1833C2—3441no—
1834C2—3441no—
1835C2—3441no—
1836C2—1721no—
1837C2—1722no—
1838C2#1914825811yescharacteristic
1839C2C2×AGL(1,ℤ/8)×D4311yescharacteristic
1840C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3308C2
socleC22×C43C23×D4
hypercenter#3308D43
hypocenterC43#61962
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #19148501C2semidirect
2. #19148082C2semidirect
3. #19147618C2semidirect
4. #19147616C2semidirect
5. #19147316C2semidirect
6. #19147310C2semidirect
7. #19146898C2semidirect
8. #19146896C2semidirect
9. #19146584C2semidirect
10. #19146582C2semidirect
11. #19146580C2semidirect
12. #19146192C2semidirect
13. #19146188C2semidirect
14. #19146095C2semidirect
15. #19146091C2semidirect
16. #19146087C2semidirect
17. #19146083C2semidirect
18. #19145981C2semidirect
19. #19145977C2semidirect
20. #19145901C2semidirect
21. #19145591C2semidirect
22. #19145587C2semidirect
23. #19145518C2semidirect
24. #19144692C2semidirect
25. #19144691C2semidirect
26. #19144592C2semidirect
27. #19144058C2semidirect
28. #19144057C2semidirect
29. C2×#14583103C2semidirect
30. #19143707C2semidirect
31. C43×#3308C2semidirect
39. #14583621C22semidirect
40. #14583618C22semidirect
47. #14583560C22semidirect
49. #14583558C22semidirect
50. #14583555C22semidirect
51. #14583551C22semidirect
54. #14583548C22semidirect
64. #14583453C22semidirect
65. #14583451C22semidirect
67. #14583448C22semidirect
68. #14583445C22semidirect
71. #14583444C22semidirect
72. C2×#13063323C22semidirect
81. #14583289C22semidirect
82. #14583288C22semidirect
83. #14583287C22semidirect
84. #14583285C22semidirect
85. #14583270C22semidirect
86. #14583270C22semidirect
87. #14583261C22semidirect
88. #14583260C22semidirect
89. #14583257C22semidirect
90. #14583248C22semidirect
91. #14583248C22semidirect
92. #14583236C22semidirect
93. #14583234C22semidirect
94. #14583233C22semidirect
95. #14583212C22semidirect
96. #14583193C22semidirect
97. #14583192C22semidirect
98. #14583191C22semidirect
100. #14583178C22semidirect
101. #14583178C22semidirect
102. #14583178C22semidirect
103. #14583177C22semidirect
104. #14583177C22semidirect
105. #14583148C22semidirect
106. #14583148C22semidirect
107. #14583147C22semidirect
108. #14583146C22semidirect
109. #14583146C22semidirect
110. #14583145C22semidirect
111. #14583143C22semidirect
112. #14583135C22semidirect
113. #14583133C22semidirect
114. #14583133C22semidirect
116. #14583117C22semidirect
118. #14583114C22semidirect
120. #14583113C22semidirect
126. #14583103C22semidirect
127. #14583103C22semidirect
128. #14583103C22semidirect
129. #14583103C22semidirect
130. #14583103C22semidirect
131. #14583103C22semidirect
132. #14583102C22semidirect
133. #14583102C22semidirect
134. #14583100C22semidirect
135. #14583099C22semidirect
136. #14583098C22semidirect
137. #14583097C22semidirect
139. #14583093C22semidirect
140. #14583093C22semidirect
141. #14583093C22semidirect
142. #14583092C22semidirect
143. #14583092C22semidirect
148. #14583047C22semidirect
149. #14583047C22semidirect
150. #14583046C22semidirect
151. #14583045C22semidirect
152. #14583045C22semidirect
153. #14583044C22semidirect
154. #14583042C22semidirect
155. #14583040C22semidirect
156. #14583038C22semidirect
157. #14583037C22semidirect
160. #14583028C22semidirect
161. #14583027C22semidirect
163. #14583002C22semidirect
165. #14582999C22semidirect
167. #14582998C22semidirect
170. #14582981C22semidirect
172. #14582979C22semidirect
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×#13063248C22semidirect
188. C43×#548C22semidirect
190. C43×#489C22semidirect
191. C43×#484C22semidirect
192. C43×#480C22semidirect
193. C43×#477C22semidirect
194. C43×#468C22semidirect
195. C43×#466C22semidirect
196. C43×#463C22semidirect
197. C43×#449C22semidirect
198. C43×#448C22semidirect
199. C43×#440C22semidirect
200. C43×#435C22semidirect
201. C43×#417C22semidirect
202. C2×#103×C43C22semidirect
798. C2×Dic43AGL(1,ℤ/8)semidirect
920. #3308D43semidirect
971. #548C2×D43semidirect
1012. #489C2×D43semidirect
1018. #484C2×D43semidirect
1020. #480C2×D43semidirect
1024. #477C2×D43semidirect
1038. #468C2×D43semidirect
1042. #466C2×D43semidirect
1050. #463C2×D43semidirect
1084. #449C2×D43semidirect
1088. #448C2×D43semidirect
1100. #440C2×D43semidirect
1110. #435C2×D43semidirect
1120. #417C2×D43semidirect
1122. C2×#103C2×D43semidirect
1123. C43#61962semidirect

Maximal subgroups

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

subgroupindex
#191485012
#191480822
#191476182
#191476162
#191473162
#191473102
#191468982
#191468962
#191465842
#191465822
#191465802
#191461922
#191461882
#191460952
#191460912
#191460872
#191460832
#191459812
#191459772
#191459012
#191455912
#191455872
#191455182
#191446922
#191446912
#191445922
#191440582
#191440572
C2×#145831032
#191437072
C43×#33082
#6196243