Finite Group Databasebeta

← #25988588

Subgroups — #25988588

Order 11008.

1710 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149075C211yesmaximal, characteristic, complemented
2#19148448C211yesmaximal, characteristic, complemented
3#19147670C211yesmaximal, characteristic, complemented
4#19147669C211yesmaximal, characteristic, complemented
5#19147665C211yesmaximal, characteristic, complemented
6#19147662C211yesmaximal, characteristic, complemented
7#19147651C211yesmaximal, characteristic, complemented
8#19147646C211yesmaximal, characteristic, complemented
9#19147617C211yesmaximal, characteristic, complemented
10#19147616C211yesmaximal, characteristic, complemented
11#19147432C211yesmaximal, characteristic, complemented
12#19147408C211yesmaximal, characteristic, complemented
13#19147406C211yesmaximal, characteristic, complemented
14#19147354C211yesmaximal, characteristic, complemented
15#19147351C211yesmaximal, characteristic, complemented
16#19147327C211yesmaximal, characteristic, complemented
17#19147324C211yesmaximal, characteristic, complemented
18#19145696C211yesmaximal, characteristic, complemented
19#19145690C211yesmaximal, characteristic, complemented
20#19145670C211yesmaximal, characteristic, complemented
21#19145664C211yesmaximal, characteristic, complemented
22#19145635C211yesmaximal, characteristic, complemented
23#19145605C211yesmaximal, characteristic, complemented
24#19144864C211yesmaximal, characteristic, complemented
25#19144863C211yesmaximal, characteristic, complemented
26#19144816C211yesmaximal, characteristic, complemented
27#19144807C211yesmaximal, characteristic, complemented
28#19144738C211yesmaximal, characteristic, complemented
29#19144692C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3377C211yesmaximal, characteristic, complemented
32#14583653—21no—
33#14583648—21no—
34#14583634C2211yescharacteristic
35#14583634C2211yescharacteristic
36#14583631C2211yescharacteristic
37#14583631C2211yescharacteristic
38#14583629C2211yescharacteristic, complemented
39#14583627C2211yescharacteristic, complemented
40#14583626C2211yescharacteristic, complemented
41#14583623C2211yescharacteristic
42#14583622C2211yescharacteristic, complemented
43#14583621—21no—
44#14583621C2211yescharacteristic, complemented
45#14583621C2211yescharacteristic, complemented
46#14583612—21no—
47#14583605C2211yescharacteristic, complemented
48#14583600—21no—
49#14583600—21no—
50#14583581—21no—
51#14583571C2211yescharacteristic
52#14583570C2211yescharacteristic
53#14583551—21no—
54#14583526—21no—
55#14583523C2211yescharacteristic
56#14583521C2211yescharacteristic
57#14583512C2211yescharacteristic
58#14583508—21no—
59#14583508—21no—
60#14583507—21no—
61#14583507C2211yescharacteristic
62#14583488—21no—
63#14583488—21no—
64#14583467C2211yescharacteristic
65#14583467C2211yescharacteristic
66#14583453C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583450C2211yescharacteristic
69#14583434C2211yescharacteristic
70#14583412—21no—
71#14583411—21no—
72#14583381C2211yescharacteristic
73#14583381C2211yescharacteristic
74C4×D4×D43C2211yescharacteristic
75#14583294C2211yescharacteristic
76#14583292C2211yescharacteristic
77#14583292C2211yescharacteristic, complemented
78#14583292C2211yescharacteristic, complemented
79#14583291C2211yescharacteristic, complemented
80#14583288C2211yescharacteristic
81#14583288C2211yescharacteristic, complemented
82#14583285C2211yescharacteristic
83#14583284C2211yescharacteristic
84#14583281C2211yescharacteristic
85#14583272C2211yescharacteristic
86#14583270C2211yescharacteristic
87#14583265C2211yescharacteristic
88#14583265C2211yescharacteristic, complemented
89#14583262C2211yescharacteristic
90#14583260C2211yescharacteristic
91#14583260C2211yescharacteristic, complemented
92#14583260C2211yescharacteristic, complemented
93#14583255C2211yescharacteristic
94#14583247C2211yescharacteristic
95#14583244C2211yescharacteristic
96#14583236C2211yescharacteristic
97#14583233C2211yescharacteristic
98#14583231C2211yescharacteristic
99#14583214C2211yescharacteristic
100#14583208C2211yescharacteristic, complemented
101#14583198C2211yescharacteristic, complemented
102#14583196C2211yescharacteristic
103#14583196C2211yescharacteristic, complemented
104#14583192C2211yescharacteristic, complemented
105#14583178C2211yescharacteristic
106#14583178C2211yescharacteristic, complemented
107#14583177C2211yescharacteristic
108#14583176C2211yescharacteristic, complemented
109#14583124C2211yescharacteristic
110#14583124C2211yescharacteristic
111#14583124C2211yescharacteristic
112#14583124C2211yescharacteristic, complemented
113#14583124C2211yescharacteristic, complemented
114#14583123C2211yescharacteristic, complemented
115#14583121C2211yescharacteristic, complemented
116#14583118C2211yescharacteristic
117#14583117C2211yescharacteristic
118#14583117C2211yescharacteristic, complemented
119#14583117C2211yescharacteristic, complemented
120#14583117C2211yescharacteristic, complemented
121#14583115C2211yescharacteristic
122#14583115C2211yescharacteristic, complemented
123#14583114C2211yescharacteristic
124#14583111C2211yescharacteristic
125#14583109C2211yescharacteristic, complemented
126#14583107C2211yescharacteristic, complemented
127#14583106C2211yescharacteristic, complemented
128#14583105C2211yescharacteristic, complemented
129#14583103C2211yescharacteristic
130#14583103C2211yescharacteristic, complemented
131#14583102C2211yescharacteristic
132#14583100C2211yescharacteristic
133#14583100C2211yescharacteristic, complemented
134#14583099C2211yescharacteristic
135#14583099C2211yescharacteristic
136#14583099C2211yescharacteristic, complemented
137#14583098C2211yescharacteristic
138#14583098C2211yescharacteristic
139#14583098C2211yescharacteristic
140#14583095C2211yescharacteristic
141#14583093C2211yescharacteristic
142#14583064C2211yescharacteristic
143#14583064C2211yescharacteristic
144#14583064C2211yescharacteristic
145#14583064C2211yescharacteristic
146#14583060C2211yescharacteristic
147#14583060C2211yescharacteristic
148#14583051C2211yescharacteristic
149#14583051C2211yescharacteristic
150#14583048C2211yescharacteristic
151#14583047C2211yescharacteristic
152#14583047C2211yescharacteristic
153#14583034C2211yescharacteristic
154#14583030C2211yescharacteristic, complemented
155#14583029C2211yescharacteristic, complemented
156#14583028C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583027C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583026C2211yescharacteristic, complemented
161#14583010C2211yescharacteristic
162#14583008C2211yescharacteristic
163#14583003C2211yescharacteristic, complemented
164#14583002C2211yescharacteristic, complemented
165#14583001C2211yescharacteristic
166#14583001C2211yescharacteristic, complemented
167#14582999C2211yescharacteristic
168#14582998C2211yescharacteristic
169#14582998C2211yescharacteristic, complemented
170#14582998C2211yescharacteristic, complemented
171#14582997C2211yescharacteristic
172#14582997C2211yescharacteristic, complemented
173#14582997C2211yescharacteristic, complemented
174#14582996C2211yescharacteristic
175C4×#10621885C2211yescharacteristic, complemented
176#14582991C2211yescharacteristic, complemented
177#14582991C2211yescharacteristic, complemented
178C4×#10621884C2211yescharacteristic, complemented
179#14582986C2211yescharacteristic, complemented
180C4×D344C2211yescharacteristic, complemented
181#14582981C2211yescharacteristic, complemented
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#557C2211yescharacteristic, complemented
189C43×#556C2211yescharacteristic
190C43×#491C2211yescharacteristic, complemented
191C43×#489C2211yescharacteristic
192C43×#488C2211yescharacteristic
193C43×#479C2211yescharacteristic, complemented
194C43×#478C2211yescharacteristic
195C43×#477C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic
197C43×#464C2211yescharacteristic
198C43×#462C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#441C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic
202C4×Q16×C43C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621902C2311yescharacteristic
206C2×#10621898—21no—
207C2×D4×D43C2311yescharacteristic
208C22×C4×D43—21no—
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×#10621884C2311yescharacteristic
226C2×D344C2311yescharacteristic
227C2×D344C2311yescharacteristic
228C2×D344C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230#13063325C2311yescharacteristic
231#13063324—21no—
232#13063324—21no—
233#13063324D411yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063323—21no—
237#13063323—21no—
238#13063323D411yescharacteristic
239#13063323C2311yescharacteristic
240#13063323C2311yescharacteristic
241#13063322C2311yescharacteristic
242#13063322C2311yescharacteristic
243#13063322C2311yescharacteristic
244#13063321C2311yescharacteristic
245#13063321C2311yescharacteristic
246#13063320—21no—
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063320—21no—
252#13063320—21no—
253#13063320—21no—
254#13063320—21no—
255#13063320—21no—
256#13063320—21no—
257#13063319—21no—
258#13063319—21no—
259#13063319—21no—
260#13063319—21no—
261#13063317—21no—
262#13063317—21no—
263#13063316—21no—
264#13063316—21no—
265#13063316C2311yescharacteristic
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063315—21no—
270#13063315—21no—
271#13063315—21no—
272#13063315D411yescharacteristic
273#13063315D411yescharacteristic
274#13063314—21no—
275#13063314C2311yescharacteristic
276#13063314C2311yescharacteristic
277#13063314C2311yescharacteristic
278#13063314C2311yescharacteristic
279#13063314C2311yescharacteristic
280#13063313—21no—
281#13063313—21no—
282#13063313—21no—
283#13063313C2311yescharacteristic
284#13063313C2311yescharacteristic
285#13063311—21no—
286#13063311—21no—
287#13063310—21no—
288#13063310—21no—
289#13063310—21no—
290#13063310—21no—
291#13063310—21no—
292#13063310—21no—
293#13063310—21no—
294#13063309—21no—
295#13063309—21no—
296#13063307—21no—
297#13063307—21no—
298#13063305—21no—
299#13063305—21no—
300#13063305D411yescharacteristic
301#13063305C2311yescharacteristic
302#13063305C2311yescharacteristic
303#13063303—21no—
304#13063303—21no—
305#13063303—21no—
306#13063303—21no—
307#13063303—21no—
308#13063303—21no—
309#13063303D411yescharacteristic
310#13063303D411yescharacteristic
311#13063301—21no—
312#13063301—21no—
313#13063301D411yescharacteristic
314#13063301C2311yescharacteristic
315#13063300—21no—
316#13063300—21no—
317#13063300—21no—
318#13063300—21no—
319#13063300—21no—
320#13063300C2311yescharacteristic
321#13063299—21no—
322#13063298—21no—
323#13063298—21no—
324#13063298—21no—
325#13063298—21no—
326#13063298—21no—
327#13063298—21no—
328#13063295—21no—
329#13063295—21no—
330#13063295—21no—
331#13063295—21no—
332Q8×Dic43C2311yescharacteristic
333Q8×Dic43C2311yescharacteristic
334C4×Dic86—21no—
335C4×Dic86—21no—
336C4×Dic86C2311yescharacteristic
337C4×Dic86C2311yescharacteristic
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341#13063290—21no—
342#13063290—21no—
343#13063290C2311yescharacteristic
344#13063290C2311yescharacteristic
345#13063290C2311yescharacteristic
346#13063290C2311yescharacteristic
347C4×D172—21no—
348C4×D172—21no—
349C4×D172—21no—
350C4×D172—21no—
351C4×D172C2311yescharacteristic
352C4×D172C2311yescharacteristic
353C4×D172C2311yescharacteristic
354C4×D172C2311yescharacteristic
355D4×Dic43C2311yescharacteristic
356#13063287—21no—
357#13063287—21no—
358#13063287—21no—
359#13063287—21no—
360#13063287—21no—
361#13063287C2311yescharacteristic
362#13063287C2311yescharacteristic
363#13063287C2311yescharacteristic
364#13063287C2311yescharacteristic
365#13063287C2311yescharacteristic
366C4×C22⋊D43—21no—
367(C22⋊D43)⋊C4—21no—
368(C22⋊D43)⋊C4—21no—
369(C22⋊D43)⋊C4—21no—
370#13063283—21no—
371#13063283—21no—
372#13063283—21no—
373#13063282—21no—
374#13063282—21no—
375#13063282—21no—
376#13063282—21no—
377#13063282—21no—
378#13063282C2311yescharacteristic
379#13063282C2311yescharacteristic
380C4⋊C4×D43—21no—
381C4⋊C4×D43—21no—
382C4⋊C4×D43—21no—
383C4⋊C4×D43C2311yescharacteristic
384C22⋊C4×D43—21no—
385C42×D43C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063256C2311yescharacteristic
391C4⋊(C43⋊C8)C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063245C2311yescharacteristic
413#13063245C2311yescharacteristic
414#13063245C2311yescharacteristic
415#13063245C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422(C2×D43)⋊C8C2311yescharacteristic
423(C2×D43)⋊C8C2311yescharacteristic
424(C2×D43)⋊C8C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426#13063236C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×Q16×C43C2311yescharacteristic
436C2×Q16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C4⋊Q8×C43—21no—
439C4⋊Q8×C43C2311yescharacteristic
440C4⋊Q8×C43C2311yescharacteristic
441#126×C43—21no—
442#126×C43—21no—
443#125×C43—21no—
444#125×C43—21no—
445#125×C43C2311yescharacteristic
446#125×C43C2311yescharacteristic
447#124×C43C2311yescharacteristic
448#124×C43C2311yescharacteristic
449C22⋊Q8×C43—21no—
450C4×Q8×C43—21no—
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×Q8×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43—21no—
459#107×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462C4⋊C8×C43C2311yescharacteristic
463C4⋊C8×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465#103×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43C2×D411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43C2411yescharacteristic
485C22×C4×C43—21no—
486C2×C22⋊D43—21no—
487C2×C22⋊D43—21no—
488C2×C22⋊D43—21no—
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C22×Dic43—21no—
492#10621902—41no—
493#10621902—41no—
494#10621902—41no—
495#10621902—41no—
496#10621902—82no—
497D4×D43—41no—
498D4×D43—41no—
499#10621898—82no—
500C2×D172—21no—
501C2×D172—21no—
502C2×D172—21no—
503C2×D172—21no—
504C2×D172—21no—
505C2×D172—21no—
506C2×D172—21no—
507C2×D172—21no—
508C2×D172—21no—
509C2×D172C2411yescharacteristic
510C2×D172C2411yescharacteristic
511C2×D172C2411yescharacteristic
512C2×D172C2411yescharacteristic
513C2×C4×D43—21no—
514C2×C4×D43—21no—
515C2×C4×D43—21no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—82no—
526C2×C4×D43C2×D411yescharacteristic
527C2×C4×D43C2×D411yescharacteristic
528C2×C4×D43C2411yescharacteristic
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86C2×D411yescharacteristic
532C2×Dic86C2×D411yescharacteristic
533C2×Dic86C2×D411yescharacteristic
534C2×Dic86C2411yescharacteristic
535C2×Dic86C2411yescharacteristic
536Q16×C43—41no—
537Q16×C43—41no—
538SD16×C43—41no—
539C2×C8×C43C2411yescharacteristic
540C2×C8×C43C2411yescharacteristic
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43C2×D411yescharacteristic
556C4⋊C4×C43C2×D411yescharacteristic
557C4⋊C4×C43C2×D411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C42×C43—21no—
568C42×C43—21no—
569C42×C43—21no—
570C42×C43—21no—
571C42×C43—21no—
572C42×C43C2411yescharacteristic
573C42×C43C2411yescharacteristic
574C42×C43C2411yescharacteristic
575C22⋊Dic43—21no—
576#10621885—41no—
577#10621885—41no—
578#10621885—41no—
579#10621885—41no—
580#10621884—41no—
581#10621884—41no—
582#10621884—41no—
583#10621884—41no—
584#10621884—41no—
585#10621883—41no—
586#10621883—41no—
587#10621882—41no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4C2×D411yescharacteristic
616(C2×D43)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43C2×D411yescharacteristic
627C4⋊Dic43C2×D411yescharacteristic
628C4⋊Dic43C2×D411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
630C4⋊Dic43C2411yescharacteristic
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43C2×D411yescharacteristic
665C4×Dic43C2×D411yescharacteristic
666C4×Dic43C2411yescharacteristic
667C4×Dic43C2411yescharacteristic
668C4×Dic43C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673D344—41no—
674D344—41no—
675D344—41no—
676#10621873—41no—
677#10621873—41no—
678#10621873—41no—
679#10621873—41no—
680#10621873—41no—
681#10621873—41no—
682C23×C43—21no—
683C22×D43—21no—
684C22×D43—21no—
685C22×D43—21no—
686C22×D43—21no—
687C22×D43—42no—
688C22×D43—81no—
689C22×D43—81no—
690C22×D43C22×D411yescharacteristic
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—21no—
696Q8×C43—21no—
697Q8×C43—41no—
698Q8×C43—81no—
699D4×C43—21no—
700D4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—42no—
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C22×D411yescharacteristic
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C22×D411yescharacteristic
715C2×C4×C43C2511yescharacteristic
716C22⋊D43—42no—
717C22⋊D43—81no—
718C22⋊D43—81no—
719C22⋊D43—81no—
720C22⋊D43—81no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—81no—
726C2×Dic43C22×D411yescharacteristic
727C2×Dic43C22×D411yescharacteristic
728C2×Dic43C22×D411yescharacteristic
729C2×Dic43C22×D411yescharacteristic
730C2×Dic43C22×D411yescharacteristic
731C2×Dic43C22×D411yescharacteristic
732C2×Dic43C22×D411yescharacteristic
733D172—21no—
734D172—21no—
735D172—21no—
736D172—21no—
737D172—21no—
738D172—21no—
739D172—21no—
740D172—21no—
741D172—42no—
742D172—42no—
743D172—42no—
744D172—81no—
745D172—81no—
746D172—81no—
747D172—81no—
748D172—81no—
749D172—81no—
750C4×D43—21no—
751C4×D43—21no—
752C4×D43—41no—
753C4×D43—41no—
754C4×D43—42no—
755C4×D43—42no—
756C4×D43—42no—
757C4×D43—42no—
758C4×D43—81no—
759C4×D43—81no—
760C4×D43—81no—
761C4×D43—81no—
762C4×D43—81no—
763C4×D43—81no—
764C4×D43—81no—
765C4×D43—81no—
766Dic86—21no—
767Dic86—21no—
768Dic86—21no—
769Dic86—21no—
770Dic86—41no—
771Dic86—41no—
772Dic86—41no—
773Dic86—81no—
774Dic86—81no—
775C8×C43—21no—
776C8×C43—21no—
777C8×C43—21no—
778C8×C43—21no—
779C43⋊C8—21no—
780C43⋊C8—21no—
781C43⋊C8—21no—
782C43⋊C8—21no—
783#61939—431nomaximal, Sylow
784C22×C43—41no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43C23×D411yescharacteristic
788C2×D43—21no—
789C2×D43—21no—
790C2×D43—21no—
791C2×D43—41no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—41no—
798C2×D43—41no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—41no—
803C2×D43—84no—
804C4×C43—21no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—21no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43—41no—
817C4×C43#58511yescharacteristic
818C4×C43#58511yescharacteristic
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—21no—
825Dic43—21no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830#3555—431no—
831#3506—431no—
832#3402—431no—
833#3402—431no—
834#3401—431no—
835#3401—431no—
836#3400—431no—
837#3400—431no—
838#3397—431no—
839#3397—431no—
840#3377—431no—
841#3377D4311yescharacteristic, complemented
842#3375—431no—
843#3375—431no—
844#3370—431no—
845#3370—431no—
846#3368—431no—
847#3368—431no—
848#3224—431no—
849#3224—431no—
850#3222—431no—
851#3222—431no—
852#3219—431no—
853#3216—431no—
854#3124—431no—
855#3124—431no—
856#3120—431no—
857#3120—431no—
858#3114—431no—
859#3110—431no—
860#2987—431no—
861C2×C43—81no—
862C2×C43#348711yescharacteristic
863C2×C43#358511yescharacteristic
864C2×C43#358611yescharacteristic
865D43—41no—
866D43—81no—
867D43—81no—
868D43—81no—
869D43—81no—
870#563—861no—
871#563—861no—
872#559—431no—
873#559—431no—
874#559—431no—
875#559—431no—
876Q82—431no—
877#557—431no—
878#557—431no—
879#557C2×D4311yescharacteristic, complemented
880#556—431no—
881#556—431no—
882#556—431no—
883#556—431no—
884#556—861no—
885#556C2×D4311yescharacteristic
886#555—861no—
887#554—431no—
888#553—861no—
889#553—861no—
890#552—861no—
891#550—431no—
892#550—431no—
893#547—861no—
894#544—861no—
895#542—431no—
896#542—431no—
897#541—431no—
898#541—431no—
899#541—861no—
900#541—861no—
901#541—861no—
902#538—861no—
903#538—861no—
904#535—431no—
905#535—431no—
906#533—431no—
907#533—431no—
908#532—431no—
909#529—431no—
910#525—861no—
911#525—861no—
912#520—431no—
913#520—431no—
914C2×C4×D4—431no—
915#497—431no—
916#497—431no—
917#497—431no—
918#497—431no—
919#497—431no—
920#496—431no—
921#496—431no—
922#496—431no—
923#495—431no—
924#495—431no—
925#492—431no—
926#492—431no—
927#491C2×D4311yescharacteristic, complemented
928#490—431no—
929#490—431no—
930#490—431no—
931#489—431no—
932#489—431no—
933#489—431no—
934#489C2×D4311yescharacteristic
935#488—431no—
936#488C2×D4311yescharacteristic
937#486—431no—
938#486—431no—
939#484—431no—
940#484—431no—
941#483—431no—
942#480—431no—
943#479—431no—
944#479C2×D4311yescharacteristic, complemented
945#478—431no—
946#478—431no—
947#478—431no—
948#478C2×D4311yescharacteristic
949#477—431no—
950#477C2×D4311yescharacteristic, complemented
951#474—431no—
952#474—431no—
953#474—431no—
954#474—431no—
955#464—431no—
956#464—431no—
957#464—431no—
958#464—431no—
959#464—431no—
960#464—431no—
961#464—431no—
962#464—431no—
963#464C2×D4311yescharacteristic
964#464C2×D4311yescharacteristic
965#463—431no—
966#463—431no—
967#463—431no—
968#463—431no—
969#463—431no—
970#463—431no—
971#463—431no—
972#463—431no—
973#462—431no—
974#462—431no—
975#462—431no—
976#462C2×D4311yescharacteristic, complemented
977#461—431no—
978#461—431no—
979#461—431no—
980#461—431no—
981#460—431no—
982#460—431no—
983#460—431no—
984#460—431no—
985#460—431no—
986#460—431no—
987#460—431no—
988#460—431no—
989#459—431no—
990#459—431no—
991#452—431no—
992#452—431no—
993#452—431no—
994#452—431no—
995#452—431no—
996#452—431no—
997#450—431no—
998#450—431no—
999#450—431no—
1000#449—431no—
1001#449—431no—
1002#447—431no—
1003#446—431no—
1004#446—431no—
1005#446—431no—
1006#446—431no—
1007#446—431no—
1008#446—431no—
1009#446—431no—
1010#446C2×D4311yescharacteristic, complemented
1011#442—431no—
1012#442—431no—
1013#441—431no—
1014#441C2×D4311yescharacteristic, complemented
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025#440—431no—
1026#440C2×D4311yescharacteristic
1027C4×Q16—431no—
1028C4×Q16—431no—
1029C4×Q16—431no—
1030C4×Q16C2×D4311yescharacteristic, complemented
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×D8—431no—
1034C4×D8—431no—
1035#433—431no—
1036#433—431no—
1037#433—431no—
1038#433—431no—
1039#432—431no—
1040#432—431no—
1041C43#6193911yescharacteristic, complemented, Sylow
1042C2×#41—431no—
1043C2×#41—431no—
1044C2×#41—861no—
1045C2×#41—861no—
1046C22×D4—431no—
1047C23×C4—861no—
1048C2×Q16—431no—
1049C2×Q16—431no—
1050C2×Q16—431no—
1051C2×Q16—431no—
1052C2×Q16C22×D4311yescharacteristic
1053C2×Q16C22×D4311yescharacteristic
1054C2×SD16—431no—
1055C2×SD16—431no—
1056C2×SD16—431no—
1057C2×SD16—431no—
1058C2×SD16—431no—
1059C2×SD16—431no—
1060C2×SD16—431no—
1061C2×SD16—431no—
1062C2×SD16—431no—
1063C2×SD16—431no—
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16C22×D4311yescharacteristic
1068C2×D8—431no—
1069C2×D8—431no—
1070C2×D8—431no—
1071C2×D8—431no—
1072C4⋊Q8—21no—
1073C4⋊Q8—431no—
1074C4⋊Q8—431no—
1075C4⋊Q8—431no—
1076C4⋊Q8—431no—
1077C4⋊Q8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—861no—
1081C4⋊Q8—861no—
1082C4⋊Q8—861no—
1083C4⋊Q8—861no—
1084C4⋊Q8C22×D4311yescharacteristic
1085C4⋊Q8C22×D4311yescharacteristic
1086#127—431no—
1087#127—431no—
1088#127—431no—
1089#127—431no—
1090#127—431no—
1091#126—21no—
1092#126—21no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#125—21no—
1109#125—21no—
1110#125—431no—
1111#125—431no—
1112#125—431no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125C22×D4311yescharacteristic
1124#125C22×D4311yescharacteristic
1125#124—431no—
1126#124—431no—
1127#124—431no—
1128#124—431no—
1129#124—431no—
1130#124—431no—
1131#124—431no—
1132#124—861no—
1133#124—861no—
1134#124—861no—
1135#124—861no—
1136#124—861no—
1137#124—861no—
1138#124C22×D4311yescharacteristic
1139#124C22×D4311yescharacteristic
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151C22⋊Q8—21no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169#121—431no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#120—861no—
1183#120—861no—
1184#120—861no—
1185#120—861no—
1186C4×Q8—21no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—431no—
1191C4×Q8—431no—
1192C4×Q8—431no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—861no—
1199C4×Q8—861no—
1200C4×Q8—861no—
1201C4×Q8—861no—
1202C4×Q8C22×D4311yescharacteristic
1203C4×Q8C22×D4311yescharacteristic
1204C4×Q8C22×D4311yescharacteristic
1205C4×Q8C22×D4311yescharacteristic
1206C4×Q8C22×D4311yescharacteristic
1207C4×Q8C22×D4311yescharacteristic
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4C22×D4311yescharacteristic
1232#117—21no—
1233#117—431no—
1234#117—431no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243C2×C4⋊C4—431no—
1244C2×C4⋊C4—861no—
1245C2×C4⋊C4—861no—
1246C2×C4⋊C4—861no—
1247C2×C22⋊C4—861no—
1248C2×C42—431no—
1249#107—431no—
1250#107—431no—
1251#107—431no—
1252#107—431no—
1253#107C22×D4311yescharacteristic
1254#107C22×D4311yescharacteristic
1255#106—431no—
1256#106C22×D4311yescharacteristic
1257C4⋊C8—431no—
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264C4⋊C8—431no—
1265C4⋊C8—431no—
1266C4⋊C8C22×D4311yescharacteristic
1267C4⋊C8C22×D4311yescharacteristic
1268C4⋊C8C22×D4311yescharacteristic
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103C22×D4311yescharacteristic
1277#103C22×D4311yescharacteristic
1278#103C22×D4311yescharacteristic
1279#103C22×D4311yescharacteristic
1280#103C22×D4311yescharacteristic
1281#103C22×D4311yescharacteristic
1282#103C22×D4311yescharacteristic
1283#102—431no—
1284#102—431no—
1285#102—431no—
1286#102—431no—
1287#102—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102—431no—
1295#102—431no—
1296#102—431no—
1297#102—431no—
1298#102C22×D4311yescharacteristic
1299#102C22×D4311yescharacteristic
1300#102C22×D4311yescharacteristic
1301C22⋊C8—431no—
1302C22⋊C8—431no—
1303C22⋊C8—431no—
1304C22⋊C8—431no—
1305#97—431no—
1306#97—431no—
1307#97—431no—
1308#97—431no—
1309#97—431no—
1310#97—431no—
1311#97C22×D4311yescharacteristic
1312#97C22×D4311yescharacteristic
1313C4×C8—431no—
1314C4×C8—431no—
1315C4×C8—431no—
1316C4×C8C22×D4311yescharacteristic
1317C24—861no—
1318#41—3442no—
1319#41—3442no—
1320#41—1721no—
1321#41—1721no—
1322#41—1721no—
1323#41—1721no—
1324C2×Q8—21no—
1325C2×Q8—431no—
1326C2×Q8—431no—
1327C2×Q8—431no—
1328C2×Q8—431no—
1329C2×Q8—431no—
1330C2×Q8—861no—
1331C2×Q8—861no—
1332C2×Q8D4×D4311yescharacteristic
1333C2×Q8C23×D4311yescharacteristic
1334C2×Q8C23×D4311yescharacteristic
1335C2×Q8C23×D4311yescharacteristic
1336C2×D4—431no—
1337C2×D4—431no—
1338C2×D4—431no—
1339C2×D4—431no—
1340C2×D4—861no—
1341C2×D4—861no—
1342C2×D4—861no—
1343C2×D4—861no—
1344C2×D4—861no—
1345C2×D4—861no—
1346C2×D4—861no—
1347C2×D4—861no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—861no—
1351C2×D4—861no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4—1721no—
1355C2×D4—1721no—
1356C2×D4C23×D4311yescharacteristic
1357C22×C4—21no—
1358C22×C4—431no—
1359C22×C4—431no—
1360C22×C4—431no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—3442no—
1375Q16—41no—
1376Q16—41no—
1377Q16—1721no—
1378Q16—1721no—
1379Q16—1721no—
1380Q16—1721no—
1381SD16—41no—
1382SD16—1721no—
1383SD16—1721no—
1384SD16—1721no—
1385SD16—1721no—
1386SD16—1721no—
1387SD16—1721no—
1388SD16—1721no—
1389SD16—1721no—
1390SD16—1721no—
1391SD16—1721no—
1392SD16—1721no—
1393SD16—1721no—
1394SD16—1721no—
1395D8—1721no—
1396D8—1721no—
1397D8—1721no—
1398D8—1721no—
1399C2×C8—431no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8C23×D4311yescharacteristic
1404C2×C8C23×D4311yescharacteristic
1405C2×C8C23×D4311yescharacteristic
1406C2×C8C23×D4311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—431no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
1433C4⋊C4—431no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4D4×D4311yescharacteristic
1457C4⋊C4D4×D4311yescharacteristic
1458C4⋊C4D4×D4311yescharacteristic
1459C4⋊C4C23×D4311yescharacteristic
1460C4⋊C4C23×D4311yescharacteristic
1461C4⋊C4C23×D4311yescharacteristic
1462C4⋊C4C23×D4311yescharacteristic
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—431no—
1469C22⋊C4—431no—
1470C22⋊C4—431no—
1471C22⋊C4—431no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—21no—
1504C42—21no—
1505C42—431no—
1506C42—431no—
1507C42—431no—
1508C42—431no—
1509C42—431no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42C23×D4311yescharacteristic
1519C42C23×D4311yescharacteristic
1520C42C23×D4311yescharacteristic
1521C23—21no—
1522C23—431no—
1523C23—861no—
1524C23—861no—
1525C23—861no—
1526C23—861no—
1527C23—3441no—
1528C23—3441no—
1529C23—1722no—
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—21no—
1535Q8—21no—
1536Q8—41no—
1537Q8—81no—
1538Q8—861no—
1539Q8—861no—
1540Q8—861no—
1541Q8—861no—
1542Q8—3441no—
1543Q8—3441no—
1544Q8—1721no—
1545Q8—1721no—
1546Q8—1721no—
1547D4—21no—
1548D4—21no—
1549D4—861no—
1550D4—861no—
1551D4—861no—
1552D4—861no—
1553D4—861no—
1554D4—861no—
1555D4—861no—
1556D4—861no—
1557D4—3441no—
1558D4—3441no—
1559D4—3441no—
1560D4—3441no—
1561D4—3441no—
1562D4—3441no—
1563D4—3441no—
1564D4—3441no—
1565D4—3441no—
1566D4—3441no—
1567D4—1722no—
1568D4—1722no—
1569D4—1722no—
1570D4—1722no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—42no—
1579C2×C4—431no—
1580C2×C4—431no—
1581C2×C4—431no—
1582C2×C4—431no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—861no—
1587C2×C4—861no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—3441no—
1593C2×C4—3441no—
1594C2×C4—3441no—
1595C2×C4—3441no—
1596C2×C4—3441no—
1597C2×C4—3441no—
1598C2×C4—3441no—
1599C2×C4—3441no—
1600C2×C4—3441no—
1601C2×C4—1721no—
1602C2×C4—1721no—
1603C2×C4—1722no—
1604C2×C4—1722no—
1605C2×C4—1722no—
1606C2×C4—1722no—
1607C2×C4C2×D4×D4311yescharacteristic
1608C2×C4C2×D4×D4311yescharacteristic
1609C2×C4C2×D4×D4311yescharacteristic
1610C2×C4C2×D4×D4311yescharacteristic
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C24×D4311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—861no—
1619C8—861no—
1620C8—861no—
1621C8—861no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—861no—
1626C22—861no—
1627C22—861no—
1628C22—3444no—
1629C22—1721no—
1630C22—1721no—
1631C22—1721no—
1632C22—1721no—
1633C22—1721no—
1634C22—1721no—
1635C22—1721no—
1636C22—1721no—
1637C22—1721no—
1638C22—1721no—
1639C22—1721no—
1640C22—1721no—
1641C22C22×D4×D4311yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—861no—
1659C4—861no—
1660C4—861no—
1661C4—861no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4#1458373511yescharacteristic
1667C4#1458373611yescharacteristic
1668C2—81no—
1669C2—3441no—
1670C2—3441no—
1671C2—3441no—
1672C2—3441no—
1673C2—1721no—
1674C2#1914825211yescharacteristic
1675C2#1914937211yescharacteristic
1676C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3377C2
socleC22×C43C23×D4
hypercenter#3377D43
hypocenterC43#61939
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3377

Complements

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

NH ≅ G/Ntype
1. #19149075C2semidirect
2. #19148448C2semidirect
3. #19147670C2semidirect
4. #19147669C2semidirect
5. #19147665C2semidirect
6. #19147662C2semidirect
7. #19147651C2semidirect
8. #19147646C2semidirect
9. #19147617C2semidirect
10. #19147616C2semidirect
11. #19147432C2semidirect
12. #19147408C2semidirect
13. #19147406C2semidirect
14. #19147354C2semidirect
15. #19147351C2semidirect
16. #19147327C2semidirect
17. #19147324C2semidirect
18. #19145696C2semidirect
19. #19145690C2semidirect
20. #19145670C2semidirect
21. #19145664C2semidirect
22. #19145635C2semidirect
23. #19145605C2semidirect
24. #19144864C2semidirect
25. #19144863C2semidirect
26. #19144816C2semidirect
27. #19144807C2semidirect
28. #19144738C2semidirect
29. #19144692C2semidirect
30. #19143698C2semidirect
31. C43×#3377C2semidirect
38. #14583629C22semidirect
39. #14583627C22semidirect
40. #14583626C22semidirect
42. #14583622C22semidirect
44. #14583621C22semidirect
45. #14583621C22semidirect
47. #14583605C22semidirect
77. #14583292C22semidirect
78. #14583292C22semidirect
79. #14583291C22semidirect
81. #14583288C22semidirect
88. #14583265C22semidirect
91. #14583260C22semidirect
92. #14583260C22semidirect
100. #14583208C22semidirect
101. #14583198C22semidirect
103. #14583196C22semidirect
104. #14583192C22semidirect
106. #14583178C22semidirect
108. #14583176C22semidirect
112. #14583124C22semidirect
113. #14583124C22semidirect
114. #14583123C22semidirect
115. #14583121C22semidirect
118. #14583117C22semidirect
119. #14583117C22semidirect
120. #14583117C22semidirect
122. #14583115C22semidirect
125. #14583109C22semidirect
126. #14583107C22semidirect
127. #14583106C22semidirect
128. #14583105C22semidirect
130. #14583103C22semidirect
133. #14583100C22semidirect
136. #14583099C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
163. #14583003C22semidirect
164. #14583002C22semidirect
166. #14583001C22semidirect
169. #14582998C22semidirect
170. #14582998C22semidirect
172. #14582997C22semidirect
173. #14582997C22semidirect
175. C4×#10621885C22semidirect
176. #14582991C22semidirect
177. #14582991C22semidirect
178. C4×#10621884C22semidirect
179. #14582986C22semidirect
180. C4×D344C22semidirect
181. #14582981C22semidirect
188. C43×#557C22semidirect
190. C43×#491C22semidirect
193. C43×#479C22semidirect
195. C43×#477C22semidirect
198. C43×#462C22semidirect
199. C43×#446C22semidirect
200. C43×#441C22semidirect
202. C4×Q16×C43C22semidirect
841. #3377D43semidirect
879. #557C2×D43semidirect
927. #491C2×D43semidirect
944. #479C2×D43semidirect
950. #477C2×D43semidirect
976. #462C2×D43semidirect
1010. #446C2×D43semidirect
1014. #441C2×D43semidirect
1030. C4×Q16C2×D43semidirect
1041. C43#61939semidirect

Maximal subgroups

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

subgroupindex
#191490752
#191484482
#191476702
#191476692
#191476652
#191476622
#191476512
#191476462
#191476172
#191476162
#191474322
#191474082
#191474062
#191473542
#191473512
#191473272
#191473242
#191456962
#191456902
#191456702
#191456642
#191456352
#191456052
#191448642
#191448632
#191448162
#191448072
#191447382
#191446922
#191436982
C43×#33772
#6193943