Finite Group Databasebeta

← #25969114

Subgroups — #25969114

Order 11008.

1666 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148477C211yesmaximal, characteristic
2#19148410C211yesmaximal, characteristic
3#19145866C211yesmaximal, characteristic, complemented
4#19145865C211yesmaximal, characteristic, complemented
5#19145864C211yesmaximal, characteristic, complemented
6#19145863C211yesmaximal, characteristic, complemented
7#19145858C211yesmaximal, characteristic, complemented
8#19145857C211yesmaximal, characteristic, complemented
9#19145856C211yesmaximal, characteristic, complemented
10#19145753C211yesmaximal, characteristic, complemented
11#19145753C211yesmaximal, characteristic, complemented
12#19145752C211yesmaximal, characteristic, complemented
13#19145752C211yesmaximal, characteristic, complemented
14#19145745C211yesmaximal, characteristic, complemented
15#19145744C211yesmaximal, characteristic, complemented
16#19145738C211yesmaximal, characteristic, complemented
17#19145737C211yesmaximal, characteristic, complemented
18#19145140C211yesmaximal, characteristic, complemented
19#19145108C211yesmaximal, characteristic, complemented
20#19144974C211yesmaximal, characteristic, complemented
21#487×D43C211yesmaximal, characteristic, complemented
22#19144563C211yesmaximal, characteristic
23#19144561C211yesmaximal, characteristic
24#19144559C211yesmaximal, characteristic
25#19144557C211yesmaximal, characteristic
26#19144436C211yesmaximal, characteristic, complemented
27#19144434C211yesmaximal, characteristic, complemented
28#19144432C211yesmaximal, characteristic, complemented
29#19144430C211yesmaximal, characteristic, complemented
30#19143236C211yesmaximal, characteristic
31C43×#3242C211yesmaximal, characteristic, complemented
32#14583629—21no—
33#14583626—21no—
34#14583626—21no—
35#14583626—21no—
36#14583616—21no—
37#14583616—21no—
38#14583605—21no—
39#14583603—21no—
40#14583603—21no—
41#14583585—21no—
42#14583585—21no—
43#14583581—21no—
44#14583581—21no—
45#14583564—21no—
46#14583562—21no—
47#14583562—21no—
48#14583529C2211yescharacteristic
49#14583529C2211yescharacteristic
50#14583527C2211yescharacteristic
51#14583526C2211yescharacteristic
52#14583526C2211yescharacteristic
53#14583512C2211yescharacteristic
54#14583511C2211yescharacteristic
55#14583510C2211yescharacteristic
56#14583472C2211yescharacteristic
57#14583472C2211yescharacteristic
58#14583455C2211yescharacteristic
59#14583455C2211yescharacteristic
60#14583455C2211yescharacteristic
61#14583453C2211yescharacteristic
62#14583453C2211yescharacteristic
63#14583452C2211yescharacteristic
64#14583451C2211yescharacteristic
65#14583451C2211yescharacteristic
66C2×#13063324C2211yescharacteristic
67C4⋊Q8×D43C2211yescharacteristic
68C4⋊Q8×D43C2211yescharacteristic
69C4⋊Q8×D43C2211yescharacteristic
70#14583380C2211yescharacteristic
71#14583379C2211yescharacteristic
72#14583375C2211yescharacteristic
73#14583375C2211yescharacteristic
74#14583367C2211yescharacteristic
75#14583309C2211yescharacteristic
76#14583308C2211yescharacteristic
77#14583305C2211yescharacteristic
78#14583303C2211yescharacteristic
79#14583303C2211yescharacteristic
80#14583303C2211yescharacteristic
81#14583303C2211yescharacteristic
82#14583301C2211yescharacteristic
83#14583298C2211yescharacteristic
84#14583298C2211yescharacteristic
85#14583296C2211yescharacteristic
86#14583296C2211yescharacteristic
87#14583296C2211yescharacteristic
88#14583296C2211yescharacteristic
89#14583269C2211yescharacteristic
90#14583268C2211yescharacteristic
91#14583267C2211yescharacteristic
92#14583251C2211yescharacteristic
93#14583250C2211yescharacteristic
94#14583249C2211yescharacteristic
95#14583248C2211yescharacteristic
96#14583248C2211yescharacteristic
97#14583248C2211yescharacteristic
98#14583248C2211yescharacteristic
99#14583248C2211yescharacteristic
100#14583248C2211yescharacteristic
101#14583248C2211yescharacteristic
102#14583248C2211yescharacteristic
103#14583243C2211yescharacteristic
104#14583243C2211yescharacteristic
105#14583242C2211yescharacteristic
106#14583242C2211yescharacteristic
107#14583241C2211yescharacteristic
108#14583241C2211yescharacteristic
109#14583240C2211yescharacteristic
110#14583240C2211yescharacteristic
111#14583239C2211yescharacteristic
112#14583239C2211yescharacteristic
113#14583238C2211yescharacteristic
114#14583238C2211yescharacteristic
115#14583237C2211yescharacteristic
116#14583237C2211yescharacteristic
117#14583236C2211yescharacteristic
118#14583236C2211yescharacteristic
119#14583235C2211yescharacteristic
120#14583234C2211yescharacteristic
121#14583233C2211yescharacteristic
122#14583233C2211yescharacteristic
123#14583232C2211yescharacteristic
124#14583231C2211yescharacteristic
125#14583231C2211yescharacteristic
126#14583230C2211yescharacteristic
127#14583229C2211yescharacteristic
128#14583228C2211yescharacteristic
129#14583228C2211yescharacteristic
130#14583227C2211yescharacteristic
131#14583209C2211yescharacteristic
132#14583209C2211yescharacteristic
133#14583208C2211yescharacteristic
134#14583208C2211yescharacteristic
135#14583207C2211yescharacteristic
136#14583207C2211yescharacteristic
137#14583206C2211yescharacteristic
138#14583206C2211yescharacteristic
139#14583205C2211yescharacteristic
140#14583205C2211yescharacteristic
141#14583204C2211yescharacteristic
142#14583204C2211yescharacteristic
143#14583203C2211yescharacteristic
144#14583203C2211yescharacteristic
145#14583195C2211yescharacteristic
146#14583194C2211yescharacteristic
147#14583193C2211yescharacteristic
148#14583193C2211yescharacteristic
149#14583192C2211yescharacteristic
150#14583192C2211yescharacteristic
151#14583191C2211yescharacteristic
152#14583185C2211yescharacteristic
153#14583184C2211yescharacteristic
154#14583183C2211yescharacteristic
155#14583183C2211yescharacteristic
156#14583182C2211yescharacteristic
157#14583182C2211yescharacteristic
158#14583181C2211yescharacteristic
159#14582961C2211yescharacteristic
160#14582960C2211yescharacteristic
161#14582958C2211yescharacteristic
162#14582951C2211yescharacteristic
163#14582951C2211yescharacteristic
164#14582949C2211yescharacteristic
165#14582949C2211yescharacteristic
166#14582940C2211yescharacteristic
167#14582940C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582938C2211yescharacteristic
170#14582936C2211yescharacteristic
171#14582936C2211yescharacteristic
172#14582934C2211yescharacteristic
173#14582934C2211yescharacteristic
174#14582924C2211yescharacteristic
175#14582924C2211yescharacteristic
176#14582906C2211yescharacteristic
177#14582906C2211yescharacteristic
178#14582906C2211yescharacteristic
179#14582906C2211yescharacteristic
180#103×D43C2211yescharacteristic
181#103×D43C2211yescharacteristic
182#103×D43C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582851C2211yescharacteristic
187C4×C8×D43C2211yescharacteristic
188C43×#544C2211yescharacteristic
189C43×#541C2211yescharacteristic
190C43×#501C2211yescharacteristic
191C43×#499C2211yescharacteristic
192C43×#491C2211yescharacteristic
193C43×#487C2211yescharacteristic
194C43×#485C2211yescharacteristic
195C43×#485C2211yescharacteristic
196C43×#484C2211yescharacteristic
197C43×#483C2211yescharacteristic
198C43×#479C2211yescharacteristic
199C43×#479C2211yescharacteristic
200C43×#477C2211yescharacteristic
201C43×#475C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C22×Dic86—21no—
205C2×Q8×D43—21no—
206C2×Q8×D43—21no—
207C2×Q8×D43C2311yescharacteristic
208C2×Q8×D43C2311yescharacteristic
209C2×#10621872C2311yescharacteristic
210C2×#10621872C2311yescharacteristic
211C2×C8×D43C2311yescharacteristic
212C2×C8×D43C2311yescharacteristic
213#13063325C2311yescharacteristic
214#13063325C2311yescharacteristic
215#13063325C2311yescharacteristic
216#13063324—21no—
217#13063324—21no—
218#13063324—21no—
219#13063324—21no—
220#13063324—21no—
221#13063324—21no—
222#13063324—21no—
223#13063324—21no—
224#13063324—21no—
225#13063324—21no—
226#13063324—21no—
227#13063324C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063323—21no—
236#13063323—21no—
237#13063323—21no—
238#13063323—21no—
239#13063323C2311yescharacteristic
240#13063323C2311yescharacteristic
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063318—21no—
246#13063318—21no—
247#13063317C2311yescharacteristic
248#13063317C2311yescharacteristic
249#13063317C2311yescharacteristic
250#13063316—21no—
251#13063316—21no—
252#13063316—21no—
253#13063316C2311yescharacteristic
254#13063316C2311yescharacteristic
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063315—21no—
263#13063315—21no—
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063311—21no—
268#13063311—21no—
269#13063310—21no—
270#13063310—21no—
271#13063307—21no—
272#13063307—21no—
273#13063305—21no—
274#13063305—21no—
275#13063305C2311yescharacteristic
276#13063305C2311yescharacteristic
277#13063304C2311yescharacteristic
278#13063304C2311yescharacteristic
279#13063303—21no—
280#13063303—21no—
281#13063303—21no—
282#13063303—21no—
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063302—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063301—21no—
298#13063301—21no—
299#13063301C2311yescharacteristic
300#13063301C2311yescharacteristic
301Q8×Dic43C2311yescharacteristic
302Q8×Dic43C2311yescharacteristic
303C4×Dic86—21no—
304C4×Dic86—21no—
305C4×Dic86—21no—
306C4×Dic86—21no—
307C4×Dic86—21no—
308C4×Dic86—21no—
309C4×Dic86—21no—
310C4×Dic86C2311yescharacteristic
311C4×Dic86C2311yescharacteristic
312#13063290—21no—
313#13063290—21no—
314#13063290—21no—
315#13063290—21no—
316#13063290—21no—
317#13063290—21no—
318#13063290—21no—
319#13063290—21no—
320#13063290—21no—
321#13063290—21no—
322#13063290—21no—
323#13063290D411yescharacteristic
324#13063290D411yescharacteristic
325#13063290C2311yescharacteristic
326#13063290C2311yescharacteristic
327C4×D172—21no—
328#13063287—21no—
329#13063287D411yescharacteristic
330#13063287D411yescharacteristic
331C4×C22⋊D43—21no—
332C4×C22⋊D43—21no—
333(C22⋊D43)⋊C4—21no—
334(C22⋊D43)⋊C4—21no—
335(C22⋊D43)⋊C4D411yescharacteristic
336(C22⋊D43)⋊C4D411yescharacteristic
337(C22⋊D43)⋊C4D411yescharacteristic
338(C22⋊D43)⋊C4D411yescharacteristic
339#13063284C2311yescharacteristic
340#13063283—21no—
341#13063283—21no—
342#13063283C2311yescharacteristic
343#13063283C2311yescharacteristic
344#13063283C2311yescharacteristic
345#13063283C2311yescharacteristic
346#13063283C2311yescharacteristic
347#13063283C2311yescharacteristic
348#13063282—21no—
349#13063282—21no—
350#13063282—21no—
351#13063282—21no—
352#13063282C2311yescharacteristic
353#13063282C2311yescharacteristic
354#13063281—21no—
355#13063281—21no—
356C2×C4⋊Dic43C2311yescharacteristic
357C2×Dic43⋊C4—21no—
358C4⋊C4×D43—21no—
359C4⋊C4×D43—21no—
360C4⋊C4×D43—21no—
361C4⋊C4×D43—21no—
362C4⋊C4×D43C2311yescharacteristic
363C4⋊C4×D43C2311yescharacteristic
364C4⋊C4×D43C2311yescharacteristic
365C4⋊C4×D43C2311yescharacteristic
366C2×C4×Dic43C2311yescharacteristic
367C42×D43C2311yescharacteristic
368C42×D43C2311yescharacteristic
369#13063259C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063259C2311yescharacteristic
372#13063259C2311yescharacteristic
373#13063258C2311yescharacteristic
374#13063258C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430C4×C43⋊C8C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C4⋊Q8×C43—21no—
436C4⋊Q8×C43C2311yescharacteristic
437C4⋊Q8×C43C2311yescharacteristic
438C4⋊Q8×C43C2311yescharacteristic
439#126×C43—21no—
440#126×C43—21no—
441#125×C43—21no—
442#125×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#125×C43C2311yescharacteristic
446#125×C43C2311yescharacteristic
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450C22⋊Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453#117×C43C2311yescharacteristic
454#117×C43C2311yescharacteristic
455C2×C4⋊C4×C43C2311yescharacteristic
456#107×C43C2311yescharacteristic
457#107×C43C2311yescharacteristic
458#107×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#106×C43C2311yescharacteristic
461#106×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#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C2×Q8×C43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43C2411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C22×C4×C43—21no—
483C22×C4×C43C2411yescharacteristic
484C2×C22⋊D43C2×D411yescharacteristic
485C2×C22⋊D43C2×D411yescharacteristic
486C22×Dic43—21no—
487C22×Dic43C2×D411yescharacteristic
488C22×Dic43C2×D411yescharacteristic
489Q8×D43—22no—
490Q8×D43—22no—
491Q8×D43—22no—
492Q8×D43—22no—
493Q8×D43—82no—
494Q8×D43—82no—
495#10621898—22no—
496#10621898—22no—
497C2×D172C2×D411yescharacteristic
498C2×C4×D43—21no—
499C2×C4×D43—21no—
500C2×C4×D43—21no—
501C2×C4×D43—21no—
502C2×C4×D43—21no—
503C2×C4×D43—21no—
504C2×C4×D43C2×D411yescharacteristic
505C2×C4×D43C2×D411yescharacteristic
506C2×C4×D43C2×D411yescharacteristic
507C2×C4×D43C2×D411yescharacteristic
508C2×C4×D43C2411yescharacteristic
509C2×C4×D43C2411yescharacteristic
510C2×Dic86—21no—
511C2×Dic86—21no—
512C2×Dic86—21no—
513C2×Dic86—21no—
514C2×Dic86—21no—
515C2×Dic86—21no—
516C2×Dic86—21no—
517C2×Dic86—21no—
518C2×Dic86—21no—
519C2×Dic86—21no—
520C2×Dic86—21no—
521C2×Dic86—21no—
522C2×Dic86—82no—
523C2×Dic86C2×D411yescharacteristic
524C2×Dic86C2411yescharacteristic
525C2×Dic86C2411yescharacteristic
526C2×C8×C43C2411yescharacteristic
527C2×C8×C43C2411yescharacteristic
528C2×C8×C43C2411yescharacteristic
529C2×C8×C43C2411yescharacteristic
530C4⋊C4×C43—21no—
531C4⋊C4×C43—21no—
532C4⋊C4×C43—21no—
533C4⋊C4×C43—21no—
534C4⋊C4×C43—21no—
535C4⋊C4×C43—21no—
536C4⋊C4×C43—21no—
537C4⋊C4×C43—21no—
538C4⋊C4×C43—21no—
539C4⋊C4×C43—21no—
540C4⋊C4×C43—21no—
541C4⋊C4×C43—21no—
542C4⋊C4×C43—21no—
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43C2×D411yescharacteristic
546C4⋊C4×C43C2×D411yescharacteristic
547C4⋊C4×C43C2411yescharacteristic
548C4⋊C4×C43C2411yescharacteristic
549C4⋊C4×C43C2411yescharacteristic
550C4⋊C4×C43C2411yescharacteristic
551C4⋊C4×C43C2411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C22⋊C4×C43—21no—
554C22⋊C4×C43—21no—
555C22⋊C4×C43—21no—
556C22⋊C4×C43C2×D411yescharacteristic
557C22⋊C4×C43C2×D411yescharacteristic
558C42×C43—21no—
559C42×C43—21no—
560C42×C43—21no—
561C42×C43C2411yescharacteristic
562C42×C43C2411yescharacteristic
563C22⋊Dic43—21no—
564C22⋊Dic43—21no—
565C22⋊Dic43—21no—
566(C2×D43)⋊C4—21no—
567(C2×D43)⋊C4—21no—
568(C2×D43)⋊C4—21no—
569(C2×D43)⋊C4—21no—
570(C2×D43)⋊C4—21no—
571(C2×D43)⋊C4—21no—
572(C2×D43)⋊C4—21no—
573(C2×D43)⋊C4—21no—
574(C2×D43)⋊C4—21no—
575(C2×D43)⋊C4—21no—
576(C2×D43)⋊C4C2×D411yescharacteristic
577(C2×D43)⋊C4C2×D411yescharacteristic
578(C2×D43)⋊C4C2×D411yescharacteristic
579(C2×D43)⋊C4C2×D411yescharacteristic
580C4⋊Dic43—21no—
581C4⋊Dic43—21no—
582C4⋊Dic43—21no—
583C4⋊Dic43—21no—
584C4⋊Dic43—21no—
585C4⋊Dic43—21no—
586C4⋊Dic43—21no—
587C4⋊Dic43—21no—
588C4⋊Dic43—21no—
589C4⋊Dic43—21no—
590C4⋊Dic43—21no—
591C4⋊Dic43C2411yescharacteristic
592C4⋊Dic43C2411yescharacteristic
593C4⋊Dic43C2411yescharacteristic
594C4⋊Dic43C2411yescharacteristic
595C4⋊Dic43C2411yescharacteristic
596C4⋊Dic43C2411yescharacteristic
597Dic43⋊C4—21no—
598Dic43⋊C4—21no—
599Dic43⋊C4—21no—
600Dic43⋊C4—21no—
601Dic43⋊C4—21no—
602Dic43⋊C4—21no—
603Dic43⋊C4—21no—
604Dic43⋊C4—21no—
605Dic43⋊C4—21no—
606Dic43⋊C4—21no—
607Dic43⋊C4—21no—
608Dic43⋊C4—21no—
609Dic43⋊C4—21no—
610Dic43⋊C4—21no—
611Dic43⋊C4—21no—
612Dic43⋊C4—21no—
613Dic43⋊C4—21no—
614Dic43⋊C4—21no—
615Dic43⋊C4—21no—
616Dic43⋊C4—21no—
617Dic43⋊C4—21no—
618Dic43⋊C4—21no—
619Dic43⋊C4—21no—
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4C2×D411yescharacteristic
630Dic43⋊C4C2×D411yescharacteristic
631Dic43⋊C4C2×D411yescharacteristic
632Dic43⋊C4C2×D411yescharacteristic
633C4×Dic43—21no—
634C4×Dic43—21no—
635C4×Dic43—21no—
636C4×Dic43—21no—
637C4×Dic43—21no—
638C4×Dic43—21no—
639C4×Dic43—21no—
640C4×Dic43—21no—
641C4×Dic43—21no—
642C4×Dic43—21no—
643C4×Dic43—21no—
644C4×Dic43—21no—
645C4×Dic43—21no—
646C4×Dic43C2×D411yescharacteristic
647C4×Dic43C2×D411yescharacteristic
648C4×Dic43C2×D411yescharacteristic
649C4×Dic43C2×D411yescharacteristic
650C4×Dic43C2×D411yescharacteristic
651C4×Dic43C2×D411yescharacteristic
652C4×Dic43C2411yescharacteristic
653C4×Dic43C2411yescharacteristic
654C2×C43⋊C8C2411yescharacteristic
655C2×C43⋊C8C2411yescharacteristic
656C2×C43⋊C8C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658#10621872—22no—
659#10621872—22no—
660C8×D43—22no—
661C8×D43—22no—
662C23×C43C22×D411yescharacteristic
663C22×D43C22×D411yescharacteristic
664C22×D43C22×D411yescharacteristic
665Q8×C43—21no—
666Q8×C43—21no—
667Q8×C43—21no—
668Q8×C43—21no—
669Q8×C43—81no—
670Q8×C43—81no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—81no—
682C2×C4×C43C22×D411yescharacteristic
683C2×C4×C43C22×D411yescharacteristic
684C2×C4×C43C22×D411yescharacteristic
685C2×C4×C43C22×D411yescharacteristic
686C2×C4×C43C22×D411yescharacteristic
687C2×C4×C43C2511yescharacteristic
688C22⋊D43—22no—
689C22⋊D43—22no—
690C2×Dic43—22no—
691C2×Dic43—22no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—81no—
701C2×Dic43C22×D411yescharacteristic
702C2×Dic43C22×D411yescharacteristic
703C2×Dic43C22×D411yescharacteristic
704C2×Dic43C22×D411yescharacteristic
705C2×Dic43C22×D411yescharacteristic
706C2×Dic43C22×D411yescharacteristic
707D172—22no—
708C4×D43—21no—
709C4×D43—21no—
710C4×D43—22no—
711C4×D43—22no—
712C4×D43—22no—
713C4×D43—22no—
714C4×D43—42no—
715C4×D43—42no—
716C4×D43—81no—
717C4×D43—81no—
718C4×D43—81no—
719C4×D43—81no—
720C4×D432−1+412yes—
721C4×D432−1+412yes—
722Dic86—22no—
723Dic86—21no—
724Dic86—21no—
725Dic86—21no—
726Dic86—21no—
727Dic86—42no—
728Dic86—42no—
729Dic86—42no—
730Dic86—42no—
731Dic86—42no—
732Dic86—42no—
733Dic86—42no—
734Dic86—42no—
735Dic86—81no—
736Dic86—81no—
737Dic86—81no—
738Dic86—81no—
739C8×C43—21no—
740C8×C43—21no—
741C8×C43—21no—
742C8×C43—21no—
743C43⋊C8—21no—
744C43⋊C8—21no—
745C43⋊C8—21no—
746C43⋊C8—21no—
747#60878—431nomaximal, Sylow
748C22×C43—21no—
749C22×C43—21no—
750C22×C43—21no—
751C22×C43C23×D411yescharacteristic
752C2×D43—21no—
753C2×D43—21no—
754C2×D43—21no—
755C2×D43—21no—
756C2×D43—21no—
757C2×D43#53612yes—
758C4×C43—21no—
759C4×C43—21no—
760C4×C43—21no—
761C4×C43—21no—
762C4×C43—21no—
763C4×C43—41no—
764C4×C43—41no—
765C4×C43—41no—
766C4×C43—41no—
767C4×C43—41no—
768C4×C43—41no—
769C4×C43—41no—
770C4×C43—41no—
771C4×C43C2×2−1+411yescharacteristic
772C4×C43C2×2−1+411yescharacteristic
773Dic43—21no—
774Dic43—21no—
775Dic43—21no—
776Dic43—41no—
777Dic43—41no—
778Dic43—41no—
779Dic43—41no—
780Dic43—41no—
781Dic43—41no—
782Dic43—41no—
783Dic43—41no—
784Dic43#53612yes—
785Dic43#57712yes—
786Dic43#57812yes—
787#3509—431no—
788#3503—431no—
789#3242—431no—
790#3242—431no—
791#3242—431no—
792#3242—431no—
793#3242—431no—
794#3242—431no—
795#3242—431no—
796#3242D4311yescharacteristic, complemented
797#3231—431no—
798#3231—431no—
799#3231—431no—
800#3231—431no—
801#3230—431no—
802#3230—431no—
803#3229—431no—
804#3229—431no—
805#3165—431no—
806#3160—431no—
807#3139—431no—
808C2×#487—431no—
809#3097—431no—
810#3097—431no—
811#3097—431no—
812#3097—431no—
813#3082—431no—
814#3082—431no—
815#3082—431no—
816#3082—431no—
817#2922—431no—
818C2×C43—41no—
819C2×C43C2×#53611yescharacteristic
820C2×C43C2×#57711yescharacteristic
821C2×C43C2×#57811yescharacteristic
822D43—22no—
823D43—41no—
824Q82—861no—
825#557—861no—
826#557—861no—
827#557—861no—
828#556—861no—
829#556—861no—
830#554—861no—
831#554—861no—
832#554—861no—
833#552—861no—
834#552—861no—
835#552—861no—
836#552—861no—
837D4×Q8—861no—
838D4×Q8—861no—
839D4×Q8—861no—
840#544—431no—
841#544—431no—
842#544—431no—
843#544—431no—
844#544—431no—
845#544C2×D4311yescharacteristic
846#541—431no—
847#541—431no—
848#541—431no—
849#541C2×D4311yescharacteristic
850#536—431no—
851#536—431no—
852#533—431no—
853#533—431no—
854#533—431no—
855#533—431no—
856#533—431no—
857#533—431no—
858#533—431no—
859#533—431no—
860C2×C4⋊Q8—431no—
861C2×C4⋊Q8—431no—
862C2×C4⋊Q8—431no—
863C2×C4⋊Q8—431no—
864#520—431no—
865#520—431no—
866#519—431no—
867#519—431no—
868C4×#41—431no—
869#501—431no—
870#501—431no—
871#501—431no—
872#501C2×D4311yescharacteristic
873#500—431no—
874#500—431no—
875#500—431no—
876#500—431no—
877#499—431no—
878#499—431no—
879#499—431no—
880#499C2×D4311yescharacteristic
881#498—431no—
882#498—431no—
883#498—431no—
884#498—431no—
885#491—431no—
886#491—431no—
887#491—431no—
888#491C2×D4311yescharacteristic
889#487—431no—
890#487—431no—
891#487—431no—
892#487—431no—
893#487—431no—
894#487—431no—
895#487—431no—
896#487—431no—
897#487—431no—
898#487—431no—
899#487—431no—
900#487C2×D4311yescharacteristic
901#485—431no—
902#485—431no—
903#485—431no—
904#485—431no—
905#485—431no—
906#485—431no—
907#485—431no—
908#485—431no—
909#485—431no—
910#485—431no—
911#485—431no—
912#485—431no—
913#485—431no—
914#485—431no—
915#485C2×D4311yescharacteristic
916#485C2×D4311yescharacteristic
917#484—431no—
918#484—431no—
919#484—431no—
920#484—431no—
921#484—431no—
922#484—431no—
923#484—431no—
924#484C2×D4311yescharacteristic
925#483—431no—
926#483—431no—
927#483—431no—
928#483—431no—
929#483—431no—
930#483—431no—
931#483—431no—
932#483C2×D4311yescharacteristic
933#479—431no—
934#479—431no—
935#479—431no—
936#479—431no—
937#479—431no—
938#479—431no—
939#479—431no—
940#479—431no—
941#479—431no—
942#479—431no—
943#479—431no—
944#479—431no—
945#479—431no—
946#479—431no—
947#479C2×D4311yescharacteristic
948#479C2×D4311yescharacteristic
949#477—431no—
950#477—431no—
951#477—431no—
952#477—431no—
953#477—431no—
954#477—431no—
955#477—431no—
956#477C2×D4311yescharacteristic
957#475—431no—
958#475—431no—
959#475—431no—
960#475—431no—
961#475—431no—
962#475—431no—
963#475—431no—
964#475C2×D4311yescharacteristic
965#433—431no—
966#433—431no—
967#433—431no—
968#433C2×D4311yescharacteristic
969#431—431no—
970#431—431no—
971#431—431no—
972#431—431no—
973#428—431no—
974#428—431no—
975#428—431no—
976#428—431no—
977#427—431no—
978#427—431no—
979#427—431no—
980#427—431no—
981#424—431no—
982#424—431no—
983#419—431no—
984#419—431no—
985#419—431no—
986#419—431no—
987C2×#103—431no—
988C2×#103—431no—
989C2×#103—431no—
990C2×#103—431no—
991#408—431no—
992#408—431no—
993C4×M16—431no—
994C2×C4×C8—431no—
995C43#6087811yescharacteristic, complemented, Sylow
996C2×#41—431no—
997C22×Q8—431no—
998C22×Q8—431no—
999C22×Q8—861no—
1000C22×Q8—861no—
1001C22×Q8—861no—
1002C2×M16—431no—
1003C2×M16—431no—
1004C22×C8—431no—
1005C22×C8—431no—
1006C4⋊Q8—21no—
1007C4⋊Q8—431no—
1008C4⋊Q8—431no—
1009C4⋊Q8—431no—
1010C4⋊Q8—431no—
1011C4⋊Q8—431no—
1012C4⋊Q8—431no—
1013C4⋊Q8—431no—
1014C4⋊Q8—431no—
1015C4⋊Q8—431no—
1016C4⋊Q8—431no—
1017C4⋊Q8—431no—
1018C4⋊Q8—431no—
1019C4⋊Q8—431no—
1020C4⋊Q8—861no—
1021C4⋊Q8—861no—
1022C4⋊Q8—861no—
1023C4⋊Q8—861no—
1024C4⋊Q8—861no—
1025C4⋊Q8—861no—
1026C4⋊Q8—861no—
1027C4⋊Q8—861no—
1028C4⋊Q8—861no—
1029C4⋊Q8—861no—
1030C4⋊Q8—861no—
1031C4⋊Q8—861no—
1032C4⋊Q8—861no—
1033C4⋊Q8—861no—
1034C4⋊Q8—861no—
1035C4⋊Q8C22×D4311yescharacteristic
1036C4⋊Q8C22×D4311yescharacteristic
1037C4⋊Q8C22×D4311yescharacteristic
1038#126—21no—
1039#126—21no—
1040#126—861no—
1041#126—861no—
1042#126—861no—
1043#126—861no—
1044#126—861no—
1045#126—861no—
1046#125—21no—
1047#125—21no—
1048#125—21no—
1049#125—431no—
1050#125—431no—
1051#125—431no—
1052#125—431no—
1053#125—431no—
1054#125—861no—
1055#125—861no—
1056#125—861no—
1057#125—861no—
1058#125—861no—
1059#125—861no—
1060#125—861no—
1061#125—861no—
1062#125—861no—
1063#125—861no—
1064#125—861no—
1065#125—861no—
1066#125—861no—
1067#125—861no—
1068#125—861no—
1069#125C22×D4311yescharacteristic
1070#125C22×D4311yescharacteristic
1071#125C22×D4311yescharacteristic
1072#124—861no—
1073#124—861no—
1074#123—861no—
1075#123—861no—
1076#123—861no—
1077#123—861no—
1078C22⋊Q8—21no—
1079C22⋊Q8—21no—
1080C22⋊Q8—431no—
1081C22⋊Q8—431no—
1082C22⋊Q8—431no—
1083C22⋊Q8—431no—
1084C22⋊Q8—431no—
1085C22⋊Q8—431no—
1086C22⋊Q8—861no—
1087C22⋊Q8—861no—
1088C22⋊Q8—861no—
1089C22⋊Q8—861no—
1090C22⋊Q8—861no—
1091C22⋊Q8—861no—
1092C22⋊Q8—861no—
1093C22⋊Q8—861no—
1094C22⋊Q8—861no—
1095C22⋊Q8—861no—
1096C22⋊Q8—861no—
1097C22⋊Q8—861no—
1098C22⋊Q8—861no—
1099C22⋊Q8—861no—
1100C22⋊Q8—861no—
1101C22⋊Q8—861no—
1102C22⋊Q8—861no—
1103C22⋊Q8—861no—
1104C22⋊Q8—861no—
1105C22⋊Q8—861no—
1106C22⋊Q8—861no—
1107C22⋊Q8—861no—
1108C22⋊Q8C22×D4311yescharacteristic
1109C22⋊Q8C22×D4311yescharacteristic
1110C4×Q8—431no—
1111C4×Q8—431no—
1112C4×Q8—431no—
1113C4×Q8—431no—
1114C4×Q8—431no—
1115C4×Q8—431no—
1116C4×Q8—431no—
1117C4×Q8—431no—
1118C4×Q8—861no—
1119C4×Q8—861no—
1120C4×Q8—861no—
1121C4×Q8—861no—
1122C4×Q8—861no—
1123C4×Q8—861no—
1124C4×Q8—861no—
1125C4×Q8—861no—
1126C4×Q8—861no—
1127C4×Q8—861no—
1128C4×Q8—861no—
1129C4×Q8—861no—
1130C4×Q8—861no—
1131C4×Q8—861no—
1132C4×Q8—861no—
1133C4×Q8—861no—
1134C4×Q8—861no—
1135C4×Q8—861no—
1136C4×Q8C22×D4311yescharacteristic
1137C4×Q8C22×D4311yescharacteristic
1138C4×D4—431no—
1139C4×D4—431no—
1140C4×D4—431no—
1141C4×D4—431no—
1142C4×D4—431no—
1143C4×D4—431no—
1144C4×D4—861no—
1145C4×D4—861no—
1146C4×D4—861no—
1147C4×D4—861no—
1148C4×D4—861no—
1149C4×D4—861no—
1150#117—431no—
1151#117—431no—
1152#117—431no—
1153#117—431no—
1154#117—431no—
1155#117—431no—
1156#117—431no—
1157#117—431no—
1158#117—431no—
1159#117—861no—
1160#117—861no—
1161#117—861no—
1162#117—861no—
1163#117—861no—
1164#117—861no—
1165#117—861no—
1166#117—861no—
1167#117C22×D4311yescharacteristic
1168#117C22×D4311yescharacteristic
1169C2×C4⋊C4—431no—
1170C2×C4⋊C4—431no—
1171C2×C4⋊C4—431no—
1172C2×C4⋊C4—431no—
1173C2×C4⋊C4—431no—
1174C2×C4⋊C4—861no—
1175C2×C4⋊C4—861no—
1176C2×C4⋊C4—861no—
1177C2×C4⋊C4—861no—
1178C2×C4⋊C4—861no—
1179C2×C4⋊C4C22×D4311yescharacteristic
1180C2×C42—431no—
1181C2×C42—431no—
1182C2×C42—431no—
1183#107—431no—
1184#107—431no—
1185#107—431no—
1186#107—431no—
1187#107—431no—
1188#107—431no—
1189#107—431no—
1190#107—431no—
1191#107—431no—
1192#107—431no—
1193#107—431no—
1194#107—431no—
1195#107C22×D4311yescharacteristic
1196#107C22×D4311yescharacteristic
1197#107C22×D4311yescharacteristic
1198#107C22×D4311yescharacteristic
1199#106—431no—
1200#106—431no—
1201#106—431no—
1202#106—431no—
1203#106—431no—
1204#106—431no—
1205#106—431no—
1206#106—431no—
1207#106—431no—
1208#106—431no—
1209#106—431no—
1210#106—431no—
1211#106C22×D4311yescharacteristic
1212#106C22×D4311yescharacteristic
1213#106C22×D4311yescharacteristic
1214#106C22×D4311yescharacteristic
1215C4⋊C8—431no—
1216C4⋊C8—431no—
1217C4⋊C8—431no—
1218C4⋊C8—431no—
1219C4⋊C8—431no—
1220C4⋊C8—431no—
1221C4⋊C8C22×D4311yescharacteristic
1222C4⋊C8C22×D4311yescharacteristic
1223#103—431no—
1224#103—431no—
1225#103—431no—
1226#103—431no—
1227#103—431no—
1228#103—431no—
1229#103—431no—
1230#103—431no—
1231#103—431no—
1232#103—431no—
1233#103—431no—
1234#103—431no—
1235#103—431no—
1236#103—431no—
1237#103—431no—
1238#103—431no—
1239#103—431no—
1240#103—431no—
1241#103—431no—
1242#103—431no—
1243#103—431no—
1244#103—431no—
1245#103—431no—
1246#103—431no—
1247#103C22×D4311yescharacteristic
1248#103C22×D4311yescharacteristic
1249#103C22×D4311yescharacteristic
1250#103C22×D4311yescharacteristic
1251#103C22×D4311yescharacteristic
1252#103C22×D4311yescharacteristic
1253#103C22×D4311yescharacteristic
1254#103C22×D4311yescharacteristic
1255C22⋊C8—431no—
1256C22⋊C8—431no—
1257C22⋊C8—431no—
1258C22⋊C8—431no—
1259C22⋊C8—431no—
1260C22⋊C8—431no—
1261C22⋊C8C22×D4311yescharacteristic
1262C22⋊C8C22×D4311yescharacteristic
1263#97—431no—
1264#97C22×D4311yescharacteristic
1265C4×C8—431no—
1266C4×C8—431no—
1267C4×C8—431no—
1268C4×C8—431no—
1269C4×C8—431no—
1270C4×C8C22×D4311yescharacteristic
1271#41—862no—
1272#41—862no—
1273C2×Q8—21no—
1274C2×Q8—21no—
1275C2×Q8—431no—
1276C2×Q8—431no—
1277C2×Q8—431no—
1278C2×Q8—861no—
1279C2×Q8—861no—
1280C2×Q8—861no—
1281C2×Q8—861no—
1282C2×Q8—861no—
1283C2×Q8—861no—
1284C2×Q8—861no—
1285C2×Q8—861no—
1286C2×Q8—861no—
1287C2×Q8—861no—
1288C2×Q8—862no—
1289C2×Q8—862no—
1290C2×Q8—862no—
1291C2×Q8—862no—
1292C2×Q8—861no—
1293C2×Q8—861no—
1294C2×Q8—3442no—
1295C2×Q8—3442no—
1296C2×Q8—3442no—
1297C2×Q8C23×D4311yescharacteristic
1298C2×Q8C23×D4311yescharacteristic
1299C2×D4—431no—
1300C2×D4—431no—
1301C2×D4—431no—
1302C22×C4—21no—
1303C22×C4—431no—
1304C22×C4—431no—
1305C22×C4—431no—
1306C22×C4—431no—
1307C22×C4—431no—
1308C22×C4—431no—
1309C22×C4—431no—
1310C22×C4—431no—
1311C22×C4—861no—
1312C22×C4—861no—
1313C22×C4—861no—
1314C22×C4—861no—
1315C22×C4—861no—
1316C22×C4—861no—
1317C22×C4—861no—
1318C22×C4C23×D4311yescharacteristic
1319M16—862no—
1320M16—862no—
1321C2×C8—431no—
1322C2×C8—431no—
1323C2×C8—431no—
1324C2×C8—431no—
1325C2×C8—862no—
1326C2×C8—862no—
1327C2×C8C23×D4311yescharacteristic
1328C2×C8C23×D4311yescharacteristic
1329C2×C8C23×D4311yescharacteristic
1330C2×C8C23×D4311yescharacteristic
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—431no—
1347C4⋊C4—431no—
1348C4⋊C4—431no—
1349C4⋊C4—431no—
1350C4⋊C4—431no—
1351C4⋊C4—431no—
1352C4⋊C4—431no—
1353C4⋊C4—431no—
1354C4⋊C4—431no—
1355C4⋊C4—431no—
1356C4⋊C4—861no—
1357C4⋊C4—861no—
1358C4⋊C4—861no—
1359C4⋊C4—861no—
1360C4⋊C4—861no—
1361C4⋊C4—861no—
1362C4⋊C4—861no—
1363C4⋊C4—861no—
1364C4⋊C4—861no—
1365C4⋊C4—861no—
1366C4⋊C4—861no—
1367C4⋊C4—861no—
1368C4⋊C4—861no—
1369C4⋊C4—861no—
1370C4⋊C4—861no—
1371C4⋊C4—861no—
1372C4⋊C4—861no—
1373C4⋊C4—861no—
1374C4⋊C4—861no—
1375C4⋊C4—861no—
1376C4⋊C4—861no—
1377C4⋊C4—861no—
1378C4⋊C4—861no—
1379C4⋊C4—861no—
1380C4⋊C4—861no—
1381C4⋊C4—861no—
1382C4⋊C4—861no—
1383C4⋊C4—861no—
1384C4⋊C4—861no—
1385C4⋊C4—861no—
1386C4⋊C4—861no—
1387C4⋊C4—861no—
1388C4⋊C4—861no—
1389C4⋊C4—861no—
1390C4⋊C4—861no—
1391C4⋊C4—861no—
1392C4⋊C4—861no—
1393C4⋊C4—861no—
1394C4⋊C4—861no—
1395C4⋊C4—861no—
1396C4⋊C4—861no—
1397C4⋊C4—861no—
1398C4⋊C4—861no—
1399C4⋊C4D4×D4311yescharacteristic
1400C4⋊C4D4×D4311yescharacteristic
1401C4⋊C4C23×D4311yescharacteristic
1402C4⋊C4C23×D4311yescharacteristic
1403C4⋊C4C23×D4311yescharacteristic
1404C4⋊C4C23×D4311yescharacteristic
1405C4⋊C4C23×D4311yescharacteristic
1406C4⋊C4C23×D4311yescharacteristic
1407C22⋊C4—21no—
1408C22⋊C4—21no—
1409C22⋊C4—21no—
1410C22⋊C4—431no—
1411C22⋊C4—431no—
1412C22⋊C4—431no—
1413C22⋊C4—431no—
1414C22⋊C4—861no—
1415C22⋊C4—861no—
1416C22⋊C4—861no—
1417C22⋊C4—861no—
1418C22⋊C4—861no—
1419C22⋊C4—861no—
1420C22⋊C4—861no—
1421C22⋊C4—861no—
1422C22⋊C4—861no—
1423C22⋊C4—861no—
1424C22⋊C4—861no—
1425C22⋊C4—861no—
1426C22⋊C4—861no—
1427C22⋊C4D4×D4311yescharacteristic
1428C22⋊C4D4×D4311yescharacteristic
1429C42—21no—
1430C42—21no—
1431C42—21no—
1432C42—431no—
1433C42—431no—
1434C42—431no—
1435C42—431no—
1436C42—431no—
1437C42—431no—
1438C42—431no—
1439C42—431no—
1440C42—861no—
1441C42—861no—
1442C42—861no—
1443C42—861no—
1444C42—861no—
1445C42—861no—
1446C42—861no—
1447C42—861no—
1448C42—861no—
1449C42—861no—
1450C42—861no—
1451C42—861no—
1452C42—861no—
1453C42C23×D4311yescharacteristic
1454C42C23×D4311yescharacteristic
1455C23—431no—
1456C23—431no—
1457C23C2×D4×D4311yescharacteristic
1458Q8—21no—
1459Q8—21no—
1460Q8—21no—
1461Q8—21no—
1462Q8—81no—
1463Q8—81no—
1464Q8—862no—
1465Q8—861no—
1466Q8—861no—
1467Q8—861no—
1468Q8—861no—
1469Q8—3441no—
1470Q8—3441no—
1471Q8—3441no—
1472Q8—3441no—
1473Q8—1722no—
1474Q8—1722no—
1475Q8—1722no—
1476Q8—1722no—
1477Q8—1722no—
1478Q8—1722no—
1479Q8—1722no—
1480Q8—1722no—
1481D4—862no—
1482D4—862no—
1483D4—862no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—81no—
1495C2×C4—431no—
1496C2×C4—431no—
1497C2×C4—431no—
1498C2×C4—432no—
1499C2×C4—432no—
1500C2×C4—431no—
1501C2×C4—431no—
1502C2×C4—431no—
1503C2×C4—862no—
1504C2×C4—862no—
1505C2×C4—862no—
1506C2×C4—862no—
1507C2×C4—862no—
1508C2×C4—862no—
1509C2×C4—861no—
1510C2×C4—861no—
1511C2×C4—861no—
1512C2×C4—861no—
1513C2×C4—861no—
1514C2×C4—861no—
1515C2×C4—861no—
1516C2×C4—861no—
1517C2×C4—861no—
1518C2×C4—861no—
1519C2×C4—3441no—
1520C2×C4—3441no—
1521C2×C4—3441no—
1522C2×C4—3441no—
1523C2×C4—3441no—
1524C2×C4—1722no—
1525C2×C4—1722no—
1526C2×C4C2×D4×D4311yescharacteristic
1527C2×C4C2×D4×D4311yescharacteristic
1528C2×C4C2×D4×D4311yescharacteristic
1529C2×C4C2×D4×D4311yescharacteristic
1530C2×C4C2×D4×D4311yescharacteristic
1531C2×C4C24×D4311yescharacteristic
1532C8—21no—
1533C8—21no—
1534C8—21no—
1535C8—21no—
1536C8—861no—
1537C8—861no—
1538C8—861no—
1539C8—861no—
1540C22—21no—
1541C22—21no—
1542C22—21no—
1543C22—432no—
1544C22—861no—
1545C22—861no—
1546C22—861no—
1547C22—861no—
1548C22—861no—
1549C22C22×D4×D4311yescharacteristic
1550C4—21no—
1551C4—21no—
1552C4—21no—
1553C4—21no—
1554C4—21no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—432no—
1564C4—432no—
1565C4—432no—
1566C4—861no—
1567C4—861no—
1568C4—861no—
1569C4—1721no—
1570C4—1721no—
1571C4—1721no—
1572C4—1721no—
1573C4—1721no—
1574C4—1721no—
1575C4—1721no—
1576C4—1721no—
1577C42−1+4×D4311yescharacteristic
1578C42−1+4×D4311yescharacteristic
1579C2—41no—
1580C2—862no—
1581C2—1721no—
1582C2#536×D4311yescharacteristic
1583C2#577×D4311yescharacteristic
1584C2#578×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3242C2
socleC22×C43C23×D4
prime radicalC2×#10621898C23
hypercenter#3242D43
hypocenterC43#60878
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3242

Complements

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

NH ≅ G/Ntype
3. #19145866C2semidirect
4. #19145865C2semidirect
5. #19145864C2semidirect
6. #19145863C2semidirect
7. #19145858C2semidirect
8. #19145857C2semidirect
9. #19145856C2semidirect
10. #19145753C2semidirect
11. #19145753C2semidirect
12. #19145752C2semidirect
13. #19145752C2semidirect
14. #19145745C2semidirect
15. #19145744C2semidirect
16. #19145738C2semidirect
17. #19145737C2semidirect
18. #19145140C2semidirect
19. #19145108C2semidirect
20. #19144974C2semidirect
21. #487×D43C2semidirect
26. #19144436C2semidirect
27. #19144434C2semidirect
28. #19144432C2semidirect
29. #19144430C2semidirect
31. C43×#3242C2semidirect
796. #3242D43semidirect
995. C43#60878semidirect

Maximal subgroups

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

subgroupindex
#191484772
#191484102
#191458662
#191458652
#191458642
#191458632
#191458582
#191458572
#191458562
#191457532
#191457522
#191457452
#191457442
#191457382
#191457372
#191451402
#191451082
#191449742
#487×D432
#191445632
#191445612
#191445592
#191445572
#191444362
#191444342
#191444322
#191444302
#191432362
C43×#32422
#6087843