Finite Group Databasebeta

← #25988657

Subgroups — #25988657

Order 11008.

1706 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#19149003C211yesmaximal, characteristic, complemented
2#19148492C211yesmaximal, characteristic, complemented
3#19147684C211yesmaximal, characteristic, complemented
4#19147682C211yesmaximal, characteristic, complemented
5#19147674C211yesmaximal, characteristic, complemented
6#19147672C211yesmaximal, characteristic, complemented
7#19147665C211yesmaximal, characteristic, complemented
8#19147664C211yesmaximal, characteristic, complemented
9#19147662C211yesmaximal, characteristic, complemented
10#19147657C211yesmaximal, characteristic, complemented
11#19147408C211yesmaximal, characteristic, complemented
12#19147407C211yesmaximal, characteristic, complemented
13#19147386C211yesmaximal, characteristic, complemented
14#19147385C211yesmaximal, characteristic, complemented
15#19147338C211yesmaximal, characteristic, complemented
16#19147336C211yesmaximal, characteristic, complemented
17#19147316C211yesmaximal, characteristic, complemented
18#19147314C211yesmaximal, characteristic, complemented
19#19145710C211yesmaximal, characteristic, complemented
20#19145702C211yesmaximal, characteristic, complemented
21#19145691C211yesmaximal, characteristic, complemented
22#19145683C211yesmaximal, characteristic, complemented
23#19145597C211yesmaximal, characteristic, complemented
24#19145581C211yesmaximal, characteristic, complemented
25#19144824C211yesmaximal, characteristic, complemented
26#19144782C211yesmaximal, characteristic, complemented
27#19144774C211yesmaximal, characteristic, complemented
28#19144752C211yesmaximal, characteristic, complemented
29#19144741C211yesmaximal, characteristic, complemented
30#19143699C211yesmaximal, characteristic, complemented
31C43×#3121C211yesmaximal, characteristic, complemented
32#14583651—21no—
33#14583650—21no—
34#14583634C2211yescharacteristic
35#14583634C2211yescharacteristic
36#14583634C2211yescharacteristic
37#14583634C2211yescharacteristic
38#14583632C2211yescharacteristic, complemented
39#14583631C2211yescharacteristic, complemented
40Q8×Dic86C2211yescharacteristic, complemented
41#14583629C2211yescharacteristic, complemented
42#14583621C2211yescharacteristic
43#14583621C2211yescharacteristic
44#14583621C2211yescharacteristic
45#14583621C2211yescharacteristic
46#14583621C2211yescharacteristic, complemented
47#14583618C2211yescharacteristic, complemented
48#14583616—21no—
49#14583573—21no—
50#14583573—21no—
51#14583573—21no—
52#14583573—21no—
53D4×Dic86C2211yescharacteristic, complemented
54#14583564C2211yescharacteristic, complemented
55#14583562—21no—
56#14583522C2211yescharacteristic
57#14583521—21no—
58#14583521—21no—
59#14583520C2211yescharacteristic
60#14583517—21no—
61#14583516C2211yescharacteristic
62#14583513—21no—
63#14583473C2211yescharacteristic
64#14583471—21no—
65#14583469—21no—
66#14583468C2211yescharacteristic
67#14583452C2211yescharacteristic
68#14583451C2211yescharacteristic
69#14583444C2211yescharacteristic
70#14583436—21no—
71#14583436—21no—
72C2×#13063314C2211yescharacteristic
73#14583373C2211yescharacteristic
74#14583367C2211yescharacteristic
75#14583292C2211yescharacteristic
76#14583292C2211yescharacteristic
77#14583292C2211yescharacteristic, complemented
78#14583290C2211yescharacteristic, complemented
79#14583289C2211yescharacteristic
80#14583288C2211yescharacteristic
81#14583285C2211yescharacteristic
82#14583285C2211yescharacteristic
83#14583284C2211yescharacteristic, complemented
84#14583283C2211yescharacteristic
85#14583281C2211yescharacteristic
86#14583280C2211yescharacteristic, complemented
87#14583261C2211yescharacteristic
88#14583260C2211yescharacteristic
89#14583260C2211yescharacteristic
90#14583260C2211yescharacteristic
91#14583260C2211yescharacteristic
92#14583260C2211yescharacteristic, complemented
93#14583260C2211yescharacteristic, complemented
94#14583259C2211yescharacteristic
95#14583248C2211yescharacteristic, complemented
96#14583248C2211yescharacteristic, complemented
97#14583247C2211yescharacteristic
98#14583246C2211yescharacteristic
99#14583240C2211yescharacteristic
100#14583223C2211yescharacteristic
101#14583194C2211yescharacteristic, complemented
102#14583193C2211yescharacteristic, complemented
103#14583188C2211yescharacteristic
104#14583188C2211yescharacteristic
105#14583188C2211yescharacteristic, complemented
106#14583184C2211yescharacteristic, complemented
107#14583183C2211yescharacteristic, complemented
108#14583178C2211yescharacteristic
109#14583178C2211yescharacteristic
110#14583178C2211yescharacteristic, complemented
111#14583124C2211yescharacteristic
112#14583124C2211yescharacteristic
113#14583124C2211yescharacteristic, complemented
114#14583123C2211yescharacteristic
115#14583123C2211yescharacteristic
116#14583123C2211yescharacteristic, complemented
117#14583122C2211yescharacteristic
118#14583121C2211yescharacteristic
119#14583121C2211yescharacteristic, complemented
120#14583121C2211yescharacteristic, complemented
121#14583117C2211yescharacteristic
122#14583117C2211yescharacteristic
123#14583117C2211yescharacteristic
124#14583117C2211yescharacteristic
125#14583117C2211yescharacteristic, complemented
126#14583116C2211yescharacteristic
127#14583116C2211yescharacteristic
128#14583116C2211yescharacteristic, complemented
129#14583115C2211yescharacteristic
130#14583114C2211yescharacteristic
131#14583113C2211yescharacteristic
132#14583113C2211yescharacteristic
133#14583108C2211yescharacteristic, complemented
134#14583108C2211yescharacteristic, complemented
135#14583107C2211yescharacteristic, complemented
136#14583103C2211yescharacteristic, complemented
137#14583103C2211yescharacteristic, complemented
138#14583102C2211yescharacteristic, complemented
139#14583100C2211yescharacteristic
140#14583099C2211yescharacteristic
141#14583098C2211yescharacteristic, complemented
142#14583095C2211yescharacteristic
143#14583094C2211yescharacteristic
144#14583093C2211yescharacteristic, complemented
145#14583063C2211yescharacteristic
146#14583059C2211yescharacteristic
147#14583055C2211yescharacteristic
148#14583052C2211yescharacteristic
149#14583049C2211yescharacteristic
150#14583046C2211yescharacteristic
151#14583042C2211yescharacteristic
152#14583038C2211yescharacteristic
153#14583035C2211yescharacteristic
154#14583032C2211yescharacteristic
155#14583029C2211yescharacteristic, complemented
156#14583029C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583028C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583027C2211yescharacteristic, complemented
161#14583026C2211yescharacteristic, complemented
162#14583026C2211yescharacteristic, complemented
163#14583010C2211yescharacteristic
164#14583010C2211yescharacteristic, complemented
165#14583008C2211yescharacteristic
166#14583008C2211yescharacteristic, complemented
167#14583005C2211yescharacteristic, complemented
168#14583004C2211yescharacteristic, complemented
169#14583003C2211yescharacteristic, complemented
170#14583002C2211yescharacteristic
171#14583002C2211yescharacteristic, complemented
172#14582998C2211yescharacteristic
173#14582998C2211yescharacteristic, complemented
174#14582998C2211yescharacteristic, complemented
175#14582997C2211yescharacteristic, complemented
176#14582996C2211yescharacteristic, complemented
177C4×#10621885C2211yescharacteristic, complemented
178C4×#10621884C2211yescharacteristic, complemented
179#14582986C2211yescharacteristic
180#14582984C2211yescharacteristic
181#14582981C2211yescharacteristic
182#14582979C2211yescharacteristic
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582953C2211yescharacteristic
187#14582953C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#519C2211yescharacteristic
190C43×#485C2211yescharacteristic
191C43×#482C2211yescharacteristic
192C43×#477C2211yescharacteristic, complemented
193C43×#475C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#464C2211yescharacteristic, complemented
196C43×#451C2211yescharacteristic
197C43×#448C2211yescharacteristic
198C43×#441C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C4×Q16×C43C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C2×#10621900—21no—
205C22×Dic86—21no—
206C2×Q8×D43—21no—
207C22×D172C2311yescharacteristic
208C2×Dic172C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621873C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228#13063325—21no—
229#13063325C2311yescharacteristic
230#13063324—21no—
231#13063324—21no—
232#13063324—21no—
233#13063324D411yescharacteristic
234#13063324D411yescharacteristic
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063324C2311yescharacteristic
238#13063324C2311yescharacteristic
239#13063323—21no—
240#13063323—21no—
241#13063323C2311yescharacteristic
242#13063323C2311yescharacteristic
243#13063323C2311yescharacteristic
244#13063322C2311yescharacteristic
245#13063322C2311yescharacteristic
246#13063321C2311yescharacteristic
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063320—21no—
252#13063320—21no—
253#13063320—21no—
254#13063319—21no—
255#13063319—21no—
256#13063319—21no—
257#13063319—21no—
258#13063319—21no—
259#13063318—21no—
260#13063318—21no—
261#13063318—21no—
262#13063316D411yescharacteristic
263#13063316D411yescharacteristic
264#13063315—21no—
265#13063314—21no—
266#13063314—21no—
267#13063314C2311yescharacteristic
268#13063314C2311yescharacteristic
269#13063314C2311yescharacteristic
270#13063314C2311yescharacteristic
271#13063314C2311yescharacteristic
272#13063314C2311yescharacteristic
273#13063314C2311yescharacteristic
274#13063313—21no—
275#13063313—21no—
276#13063313—21no—
277#13063313—21no—
278#13063313C2311yescharacteristic
279#13063313C2311yescharacteristic
280#13063313C2311yescharacteristic
281#13063312—21no—
282#13063312C2311yescharacteristic
283#13063311—21no—
284#13063311—21no—
285#13063311—21no—
286#13063311—21no—
287#13063311—21no—
288#13063310—21no—
289#13063310—21no—
290#13063310—21no—
291#13063310—21no—
292#13063310—21no—
293#13063310—21no—
294#13063310—21no—
295#13063310—21no—
296#13063309—21no—
297#13063308—21no—
298#13063308—21no—
299#13063308—21no—
300#13063307—21no—
301#13063307—21no—
302#13063307—21no—
303#13063307—21no—
304#13063306—21no—
305#13063305—21no—
306#13063304—21no—
307#13063304C2311yescharacteristic
308#13063303—21no—
309#13063303—21no—
310#13063303—21no—
311#13063303—21no—
312#13063303—21no—
313#13063303—21no—
314#13063303—21no—
315#13063303—21no—
316#13063302—21no—
317#13063302—21no—
318#13063302—21no—
319#13063302—21no—
320#13063302—21no—
321#13063302D411yescharacteristic
322#13063302D411yescharacteristic
323#13063302D411yescharacteristic
324#13063302D411yescharacteristic
325#13063301—21no—
326#13063301—21no—
327#13063301—21no—
328#13063300—21no—
329#13063300—21no—
330#13063299C2311yescharacteristic
331#13063297—21no—
332#13063295—21no—
333#13063295—21no—
334Q8×Dic43C2311yescharacteristic
335Q8×Dic43C2311yescharacteristic
336C4×Dic86—21no—
337C4×Dic86C2311yescharacteristic
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341C4×Dic86C2311yescharacteristic
342#13063290—21no—
343#13063290—21no—
344#13063290C2311yescharacteristic
345#13063290C2311yescharacteristic
346#13063290C2311yescharacteristic
347#13063290C2311yescharacteristic
348C4×D172—21no—
349C4×D172—21no—
350C4×D172—21no—
351C4×D172—21no—
352C4×D172—21no—
353C4×D172—21no—
354C4×D172C2311yescharacteristic
355D4×Dic43C2311yescharacteristic
356D4×Dic43C2311yescharacteristic
357#13063287C2311yescharacteristic
358#13063287C2311yescharacteristic
359#13063287C2311yescharacteristic
360#13063287C2311yescharacteristic
361#13063287C2311yescharacteristic
362#13063287C2311yescharacteristic
363#13063287C2311yescharacteristic
364#13063287C2311yescharacteristic
365C4×C22⋊D43—21no—
366(C22⋊D43)⋊C4—21no—
367(C22⋊D43)⋊C4—21no—
368(C22⋊D43)⋊C4—21no—
369(C22⋊D43)⋊C4—21no—
370#13063284C2311yescharacteristic
371#13063282—21no—
372#13063282—21no—
373#13063282—21no—
374#13063282—21no—
375#13063282—21no—
376#13063282—21no—
377#13063281—21no—
378#13063281—21no—
379C2×(C2×D43)⋊C4—21no—
380C2×(C2×D43)⋊C4—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C2×C4×Dic43C2311yescharacteristic
384C42×D43—21no—
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390C4⋊(C43⋊C8)C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063245C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425#13063236C2311yescharacteristic
426#13063235C2311yescharacteristic
427#13063235C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C22×Q8×C43C2311yescharacteristic
436C2×Q16×C43C2311yescharacteristic
437C2×Q16×C43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C4⋊Q8×C43C2311yescharacteristic
441#126×C43—21no—
442#124×C43—21no—
443#124×C43C2311yescharacteristic
444#123×C43—21no—
445C22⋊Q8×C43—21no—
446C22⋊Q8×C43C2311yescharacteristic
447#121×C43C2311yescharacteristic
448C4×Q8×C43—21no—
449C4×Q8×C43—21no—
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456#117×C43—21no—
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×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
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43—41no—
482C2×Q8×C43—41no—
483C2×Q8×C43C2411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43C2411yescharacteristic
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43C2411yescharacteristic
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C22×Dic43—21no—
496C22×Dic43—21no—
497C22×Dic43C2×D411yescharacteristic
498C22×Dic43C2×D411yescharacteristic
499Q8×D43—82no—
500#10621900—82no—
501#10621898—41no—
502#10621898—41no—
503C2×D172—21no—
504C2×D172—21no—
505C2×D172—21no—
506C2×D172—21no—
507C2×D172—21no—
508C2×D172—41no—
509C2×D172—41no—
510C2×D172C2411yescharacteristic
511C2×D172C2411yescharacteristic
512C2×D172C2411yescharacteristic
513C2×D172C2411yescharacteristic
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×Dic86—21no—
525C2×Dic86—21no—
526C2×Dic86—21no—
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86—82no—
530C2×Dic86C2×D411yescharacteristic
531C2×Dic86C2×D411yescharacteristic
532C2×Dic86C2×D411yescharacteristic
533C2×Dic86C2×D411yescharacteristic
534C2×Dic86C2411yescharacteristic
535C2×Dic86C2411yescharacteristic
536Q16×C43—41no—
537Q16×C43—41no—
538SD16×C43—41no—
539SD16×C43—41no—
540C2×C8×C43C2411yescharacteristic
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C2×C8×C43C2411yescharacteristic
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×C43C2×D411yescharacteristic
552C4⋊C4×C43C2×D411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43C2×D411yescharacteristic
564C22⋊C4×C43C2×D411yescharacteristic
565C42×C43—21no—
566C42×C43—21no—
567C42×C43—21no—
568C42×C43—21no—
569C42×C43—21no—
570C42×C43—21no—
571C42×C43C2411yescharacteristic
572C42×C43C2411yescharacteristic
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43C2×D411yescharacteristic
579C22⋊Dic43C2×D411yescharacteristic
580#10621885—41no—
581#10621885—41no—
582#10621885—41no—
583#10621884—41no—
584#10621884—41no—
585#10621884—41no—
586#10621884—41no—
587#10621884—41no—
588#10621883—41no—
589#10621882—41no—
590#10621882—41no—
591#10621882—41no—
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)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43C2×D411yescharacteristic
626C4⋊Dic43C2×D411yescharacteristic
627C4⋊Dic43C2×D411yescharacteristic
628C4⋊Dic43C2×D411yescharacteristic
629C4⋊Dic43C2×D411yescharacteristic
630C4⋊Dic43C2×D411yescharacteristic
631C4⋊Dic43C2411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
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
669C4×Dic43C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673C2×C43⋊C8C2411yescharacteristic
674Dic172—41no—
675D344—41no—
676D344—41no—
677D344—41no—
678#10621873—41no—
679#10621873—41no—
680#10621873—41no—
681#10621873—41no—
682C23×C43—21no—
683C23×C43C22×D411yescharacteristic
684C22×D43—21no—
685C22×D43—21no—
686C22×D43—21no—
687C22×D43—21no—
688C22×D43—42no—
689C22×D43—81no—
690C22×D43—81no—
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—21no—
696Q8×C43—21no—
697Q8×C43—42no—
698Q8×C43—81no—
699D4×C43—21no—
700D4×C43—21no—
701D4×C43—81no—
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—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—42no—
712C2×C4×C43—81no—
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C22×D411yescharacteristic
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C2511yescharacteristic
719C22⋊D43—42no—
720C22⋊D43—42no—
721C22⋊D43—81no—
722C22⋊D43—81no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—41no—
728C2×Dic43—41no—
729C2×Dic43—42no—
730C2×Dic43—81no—
731C2×Dic43C22×D411yescharacteristic
732C2×Dic43C22×D411yescharacteristic
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735C2×Dic43C22×D411yescharacteristic
736C2×Dic43C22×D411yescharacteristic
737C2×Dic43C22×D411yescharacteristic
738C2×Dic43C22×D411yescharacteristic
739D172—21no—
740D172—21no—
741D172—21no—
742D172—21no—
743D172—21no—
744D172—21no—
745D172—21no—
746D172—21no—
747D172—42no—
748D172—81no—
749D172—81no—
750D172—81no—
751D172—81no—
752C4×D43—42no—
753C4×D43—42no—
754C4×D43—81no—
755C4×D43—81no—
756C4×D43—81no—
757C4×D43—81no—
758C4×D43—81no—
759C4×D43—81no—
760C4×D43—81no—
761C4×D43—81no—
762Dic86—21no—
763Dic86—21no—
764Dic86—21no—
765Dic86—21no—
766Dic86—41no—
767Dic86—41no—
768Dic86—41no—
769Dic86—41no—
770Dic86—42no—
771Dic86—81no—
772Dic86—81no—
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#61944—431nomaximal, Sylow
784C22×C43—21no—
785C22×C43—21no—
786C22×C43—21no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43C23×D411yescharacteristic
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—162no—
804C4×C43—21no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43#58511yescharacteristic
817C4×C43#58511yescharacteristic
818Dic43—21no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—21no—
825Dic43—21no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830#3550—431no—
831#3510—431no—
832#3403—431no—
833#3403—431no—
834#3402—431no—
835#3402—431no—
836#3401—431no—
837#3401—431no—
838#3401—431no—
839#3401—431no—
840#3375—431no—
841#3375—431no—
842#3373—431no—
843#3373—431no—
844#3369—431no—
845#3369—431no—
846#3367—431no—
847#3367—431no—
848#3225—431no—
849#3225—431no—
850#3224—431no—
851#3224—431no—
852#3215—431no—
853#3213—431no—
854#3121—431no—
855#3121D4311yescharacteristic, complemented
856#3118—431no—
857#3118—431no—
858#3116—431no—
859#3115—431no—
860#2987—431no—
861C2×C43—41no—
862C2×C43—81no—
863C2×C43#348711yescharacteristic
864C2×C43#358511yescharacteristic
865C2×C43#358611yescharacteristic
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—
876#559—431no—
877#559—431no—
878Q82—431no—
879Q82—431no—
880#556—431no—
881#556—431no—
882#556—431no—
883#556—431no—
884#556—431no—
885#556—431no—
886#556—861no—
887#551—861no—
888#551—861no—
889#551—861no—
890#551—861no—
891D4×Q8—431no—
892D4×Q8—431no—
893D4×Q8—861no—
894#542—431no—
895#542—431no—
896#542—431no—
897#542—861no—
898#542—861no—
899#542—861no—
900#542—861no—
901#542C2×D4311yescharacteristic
902#536—431no—
903#536—861no—
904#536—861no—
905#535—431no—
906#533—431no—
907#533—431no—
908#532—431no—
909#529—861no—
910#529—861no—
911C2×#124—431no—
912#519C2×D4311yescharacteristic
913#518—431no—
914C4×#41—431no—
915#497—431no—
916#497—431no—
917#497—431no—
918#497—431no—
919#496—431no—
920#496—431no—
921#496—431no—
922#496—431no—
923#495—431no—
924#495—431no—
925#495—431no—
926#495—431no—
927#489—431no—
928#489—431no—
929#489—431no—
930#489—431no—
931#489—431no—
932#489—431no—
933#489—431no—
934#489—431no—
935#487—431no—
936#487—431no—
937#486—431no—
938#486—431no—
939#485—431no—
940#485C2×D4311yescharacteristic
941#482—431no—
942#482C2×D4311yescharacteristic
943#477—431no—
944#477—431no—
945#477C2×D4311yescharacteristic, complemented
946#476—431no—
947#476—431no—
948#476—431no—
949#475—431no—
950#475—431no—
951#475C2×D4311yescharacteristic, complemented
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#464—431no—
964#464—431no—
965#464C2×D4311yescharacteristic, complemented
966#464C2×D4311yescharacteristic, complemented
967#463—431no—
968#463—431no—
969#463—431no—
970#463—431no—
971#463—431no—
972#463—431no—
973#463—431no—
974#463—431no—
975#463—431no—
976#463—431no—
977#463—431no—
978#463—431no—
979#462—431no—
980#462—431no—
981#462—431no—
982#461—431no—
983#461—431no—
984#461—431no—
985#460—431no—
986#460—431no—
987#460—431no—
988#459—431no—
989#459—431no—
990#459—431no—
991#452—431no—
992#452—431no—
993#451—431no—
994#451C2×D4311yescharacteristic
995#450—431no—
996#450—431no—
997#449—431no—
998#449—431no—
999#448—431no—
1000#448C2×D4311yescharacteristic
1001#447—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#446—431no—
1011#442—431no—
1012#442—431no—
1013#442—431no—
1014#442—431no—
1015#441—431no—
1016#441—431no—
1017#441—431no—
1018#441C2×D4311yescharacteristic, complemented
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025#440—431no—
1026#440C2×D4311yescharacteristic, complemented
1027C4×Q16—431no—
1028C4×Q16C2×D4311yescharacteristic, complemented
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16C2×D4311yescharacteristic, complemented
1033C4×D8—431no—
1034C4×D8—431no—
1035#433—431no—
1036#433—431no—
1037#433—431no—
1038#433C2×D4311yescharacteristic
1039#432—431no—
1040#432—431no—
1041C43#6194411yescharacteristic, complemented, Sylow
1042C2×#41—431no—
1043C2×#41—861no—
1044C22×Q8—861no—
1045C22×Q8—861no—
1046C22×Q8C22×D4311yescharacteristic
1047C22×D4—431no—
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×SD16C22×D4311yescharacteristic
1065C2×SD16C22×D4311yescharacteristic
1066C2×D8—431no—
1067C2×D8—431no—
1068C2×D8—431no—
1069C2×D8—431no—
1070C2×D8—431no—
1071C2×D8—431no—
1072C4⋊Q8—431no—
1073C4⋊Q8—431no—
1074C4⋊Q8—431no—
1075C4⋊Q8—431no—
1076C4⋊Q8—431no—
1077C4⋊Q8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081C4⋊Q8—431no—
1082C4⋊Q8—861no—
1083C4⋊Q8—861no—
1084C4⋊Q8—861no—
1085C4⋊Q8—861no—
1086C4⋊Q8—861no—
1087C4⋊Q8—861no—
1088C4⋊Q8C22×D4311yescharacteristic
1089#127—431no—
1090#127—431no—
1091#127—431no—
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—431no—
1109#125—431no—
1110#125—861no—
1111#124—21no—
1112#124—431no—
1113#124—431no—
1114#124—431no—
1115#124—431no—
1116#124—431no—
1117#124—431no—
1118#124—431no—
1119#124—431no—
1120#124—431no—
1121#124—431no—
1122#124—431no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124—861no—
1133#124—861no—
1134#124—861no—
1135#124C22×D4311yescharacteristic
1136#123—21no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
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—
1151#123—861no—
1152#123—861no—
1153#123—861no—
1154C22⋊Q8—21no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
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—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8—861no—
1173C22⋊Q8—861no—
1174C22⋊Q8—861no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8C22×D4311yescharacteristic
1179#121—431no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121C22×D4311yescharacteristic
1184#120—861no—
1185#120—861no—
1186C4×Q8—21no—
1187C4×Q8—21no—
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—431no—
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×D4—431no—
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×D4C22×D4311yescharacteristic
1230#117—21no—
1231#117—21no—
1232#117—431no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117C22×D4311yescharacteristic
1242#117C22×D4311yescharacteristic
1243C2×C22⋊C4—861no—
1244C2×C22⋊C4—861no—
1245C2×C22⋊C4—861no—
1246C2×C22⋊C4—861no—
1247C2×C42—431no—
1248C2×C42—861no—
1249#107—431no—
1250#107—431no—
1251#107C22×D4311yescharacteristic
1252#107C22×D4311yescharacteristic
1253#106—431no—
1254#106—431no—
1255#106C22×D4311yescharacteristic
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⋊C8—431no—
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#103—431no—
1277#103—431no—
1278#103—431no—
1279#103C22×D4311yescharacteristic
1280#103C22×D4311yescharacteristic
1281#103C22×D4311yescharacteristic
1282#103C22×D4311yescharacteristic
1283#103C22×D4311yescharacteristic
1284#103C22×D4311yescharacteristic
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#102—431no—
1299#102C22×D4311yescharacteristic
1300#102C22×D4311yescharacteristic
1301C22⋊C8—431no—
1302C22⋊C8—431no—
1303C22⋊C8C22×D4311yescharacteristic
1304C22⋊C8C22×D4311yescharacteristic
1305#97—431no—
1306#97—431no—
1307#97—431no—
1308#97—431no—
1309#97—431no—
1310#97—431no—
1311#97—431no—
1312#97C22×D4311yescharacteristic
1313C4×C8—431no—
1314C4×C8—431no—
1315C4×C8—431no—
1316C4×C8C22×D4311yescharacteristic
1317C24—861no—
1318#41—3442no—
1319#41—1721no—
1320#41—1721no—
1321C2×Q8—21no—
1322C2×Q8—21no—
1323C2×Q8—41no—
1324C2×Q8—41no—
1325C2×Q8—431no—
1326C2×Q8—431no—
1327C2×Q8—431no—
1328C2×Q8—431no—
1329C2×Q8—431no—
1330C2×Q8—431no—
1331C2×Q8—861no—
1332C2×Q8—861no—
1333C2×Q8—861no—
1334C2×Q8—861no—
1335C2×Q8—861no—
1336C2×Q8—3442no—
1337C2×Q8—3442no—
1338C2×Q8C23×D4311yescharacteristic
1339C2×Q8C23×D4311yescharacteristic
1340C2×Q8C23×D4311yescharacteristic
1341C2×D4—21no—
1342C2×D4—431no—
1343C2×D4—431no—
1344C2×D4—431no—
1345C2×D4—431no—
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—861no—
1355C2×D4—1721no—
1356C2×D4—1721no—
1357C2×D4C23×D4311yescharacteristic
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—431no—
1361C22×C4—431no—
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×C4C23×D4311yescharacteristic
1375Q16—41no—
1376Q16—41no—
1377Q16—1721no—
1378Q16—1721no—
1379Q16—1721no—
1380Q16—1721no—
1381SD16—41no—
1382SD16—41no—
1383SD16—1721no—
1384SD16—1721no—
1385SD16—1721no—
1386SD16—1721no—
1387SD16—1721no—
1388SD16—1721no—
1389SD16—1721no—
1390SD16—1721no—
1391SD16—1721no—
1392SD16—1721no—
1393D8—1721no—
1394D8—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—431no—
1415C4⋊C4—431no—
1416C4⋊C4—431no—
1417C4⋊C4—431no—
1418C4⋊C4—431no—
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—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1450C4⋊C4D4×D4311yescharacteristic
1451C4⋊C4C23×D4311yescharacteristic
1452C4⋊C4C23×D4311yescharacteristic
1453C4⋊C4C23×D4311yescharacteristic
1454C4⋊C4C23×D4311yescharacteristic
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—431no—
1462C22⋊C4—431no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1499C22⋊C4D4×D4311yescharacteristic
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—21no—
1504C42—21no—
1505C42—21no—
1506C42—431no—
1507C42—431no—
1508C42—431no—
1509C42—431no—
1510C42—431no—
1511C42—431no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42C23×D4311yescharacteristic
1520C42C23×D4311yescharacteristic
1521C23—21no—
1522C23—861no—
1523C23—861no—
1524C23—861no—
1525C23—861no—
1526C23—3441no—
1527C23—3441no—
1528C23—1722no—
1529C23C2×D4×D4311yescharacteristic
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—21no—
1535Q8—21no—
1536Q8—42no—
1537Q8—81no—
1538Q8—861no—
1539Q8—861no—
1540Q8—861no—
1541Q8—861no—
1542Q8—3441no—
1543Q8—3441no—
1544Q8—3441no—
1545Q8—3441no—
1546Q8—1721no—
1547Q8—1721no—
1548Q8—1721no—
1549Q8—1721no—
1550Q8—1722no—
1551D4—21no—
1552D4—21no—
1553D4—81no—
1554D4—861no—
1555D4—861no—
1556D4—861no—
1557D4—861no—
1558D4—861no—
1559D4—861no—
1560D4—861no—
1561D4—861no—
1562D4—3441no—
1563D4—3441no—
1564D4—3441no—
1565D4—3441no—
1566D4—3441no—
1567D4—3441no—
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—21no—
1579C2×C4—21no—
1580C2×C4—42no—
1581C2×C4—81no—
1582C2×C4—431no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—431no—
1587C2×C4—431no—
1588C2×C4—431no—
1589C2×C4—431no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—3441no—
1595C2×C4—3441no—
1596C2×C4—3441no—
1597C2×C4—3441no—
1598C2×C4—3441no—
1599C2×C4—3441no—
1600C2×C4—3441no—
1601C2×C4—3441no—
1602C2×C4—3441no—
1603C2×C4—1722no—
1604C2×C4—1722no—
1605C2×C4—1721no—
1606C2×C4—1721no—
1607C2×C4—1722no—
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—21no—
1623C22—21no—
1624C22—21no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—1721no—
1629C22—1721no—
1630C22—1721no—
1631C22—1721no—
1632C22—1721no—
1633C22—1721no—
1634C22—1721no—
1635C22—1721no—
1636C22—1721no—
1637C22—1721no—
1638C22—1721no—
1639C22—1721no—
1640C22—6882no—
1641C22C22×D4×D4311yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—861no—
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#1458373511yescharacteristic
1668C2—41no—
1669C2—81no—
1670C2—3441no—
1671C2—3441no—
1672C2—3441no—
1673C2—3441no—
1674C2#1914824911yescharacteristic
1675C2#1914937311yescharacteristic
1676C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3121C2
socleC22×C43C23×D4
hypercenter#3121D43
hypocenterC43#61944
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3121

Complements

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

NH ≅ G/Ntype
1. #19149003C2semidirect
2. #19148492C2semidirect
3. #19147684C2semidirect
4. #19147682C2semidirect
5. #19147674C2semidirect
6. #19147672C2semidirect
7. #19147665C2semidirect
8. #19147664C2semidirect
9. #19147662C2semidirect
10. #19147657C2semidirect
11. #19147408C2semidirect
12. #19147407C2semidirect
13. #19147386C2semidirect
14. #19147385C2semidirect
15. #19147338C2semidirect
16. #19147336C2semidirect
17. #19147316C2semidirect
18. #19147314C2semidirect
19. #19145710C2semidirect
20. #19145702C2semidirect
21. #19145691C2semidirect
22. #19145683C2semidirect
23. #19145597C2semidirect
24. #19145581C2semidirect
25. #19144824C2semidirect
26. #19144782C2semidirect
27. #19144774C2semidirect
28. #19144752C2semidirect
29. #19144741C2semidirect
30. #19143699C2semidirect
31. C43×#3121C2semidirect
38. #14583632C22semidirect
39. #14583631C22semidirect
40. Q8×Dic86C22semidirect
41. #14583629C22semidirect
46. #14583621C22semidirect
47. #14583618C22semidirect
53. D4×Dic86C22semidirect
54. #14583564C22semidirect
77. #14583292C22semidirect
78. #14583290C22semidirect
83. #14583284C22semidirect
86. #14583280C22semidirect
92. #14583260C22semidirect
93. #14583260C22semidirect
95. #14583248C22semidirect
96. #14583248C22semidirect
101. #14583194C22semidirect
102. #14583193C22semidirect
105. #14583188C22semidirect
106. #14583184C22semidirect
107. #14583183C22semidirect
110. #14583178C22semidirect
113. #14583124C22semidirect
116. #14583123C22semidirect
119. #14583121C22semidirect
120. #14583121C22semidirect
125. #14583117C22semidirect
128. #14583116C22semidirect
133. #14583108C22semidirect
134. #14583108C22semidirect
135. #14583107C22semidirect
136. #14583103C22semidirect
137. #14583103C22semidirect
138. #14583102C22semidirect
141. #14583098C22semidirect
144. #14583093C22semidirect
155. #14583029C22semidirect
156. #14583029C22semidirect
157. #14583028C22semidirect
158. #14583028C22semidirect
159. #14583027C22semidirect
160. #14583027C22semidirect
161. #14583026C22semidirect
162. #14583026C22semidirect
164. #14583010C22semidirect
166. #14583008C22semidirect
167. #14583005C22semidirect
168. #14583004C22semidirect
169. #14583003C22semidirect
171. #14583002C22semidirect
173. #14582998C22semidirect
174. #14582998C22semidirect
175. #14582997C22semidirect
176. #14582996C22semidirect
177. C4×#10621885C22semidirect
178. C4×#10621884C22semidirect
192. C43×#477C22semidirect
193. C43×#475C22semidirect
194. C43×#464C22semidirect
195. C43×#464C22semidirect
198. C43×#441C22semidirect
199. C43×#440C22semidirect
200. C4×Q16×C43C22semidirect
201. C4×SD16×C43C22semidirect
855. #3121D43semidirect
945. #477C2×D43semidirect
951. #475C2×D43semidirect
965. #464C2×D43semidirect
966. #464C2×D43semidirect
1018. #441C2×D43semidirect
1026. #440C2×D43semidirect
1028. C4×Q16C2×D43semidirect
1032. C4×SD16C2×D43semidirect
1041. C43#61944semidirect

Maximal subgroups

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

subgroupindex
#191490032
#191484922
#191476842
#191476822
#191476742
#191476722
#191476652
#191476642
#191476622
#191476572
#191474082
#191474072
#191473862
#191473852
#191473382
#191473362
#191473162
#191473142
#191457102
#191457022
#191456912
#191456832
#191455972
#191455812
#191448242
#191447822
#191447742
#191447522
#191447412
#191436992
C43×#31212
#6194443