Finite Group Databasebeta

← #25987389

Subgroups — #25987389

Order 11008.

1756 conjugacy classes of subgroups.

The subgroup lattice has 1660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148989C211yesmaximal, characteristic, complemented
2#19148410C211yesmaximal, characteristic, complemented
3#19147502C211yesmaximal, characteristic, complemented
4#19147500C211yesmaximal, characteristic, complemented
5#19147491C211yesmaximal, characteristic, complemented
6#19147489C211yesmaximal, characteristic, complemented
7#19147467C211yesmaximal, characteristic, complemented
8#19147465C211yesmaximal, characteristic, complemented
9#19147459C211yesmaximal, characteristic, complemented
10#19147457C211yesmaximal, characteristic, complemented
11#19147327C211yesmaximal, characteristic, complemented
12#19147321C211yesmaximal, characteristic, complemented
13#19147305C211yesmaximal, characteristic, complemented
14#19147299C211yesmaximal, characteristic, complemented
15#19147265C211yesmaximal, characteristic, complemented
16#19147263C211yesmaximal, characteristic, complemented
17#19147229C211yesmaximal, characteristic, complemented
18#19147227C211yesmaximal, characteristic, complemented
19#19145854C211yesmaximal, characteristic, complemented
20#19145848C211yesmaximal, characteristic, complemented
21#19145846C211yesmaximal, characteristic, complemented
22#19145721C211yesmaximal, characteristic, complemented
23#19145714C211yesmaximal, characteristic, complemented
24#19144797C211yesmaximal, characteristic, complemented
25#19144796C211yesmaximal, characteristic, complemented
26#19144789C211yesmaximal, characteristic, complemented
27#19144788C211yesmaximal, characteristic, complemented
28#19144650C211yesmaximal, characteristic, complemented
29#19144650C211yesmaximal, characteristic, complemented
30#19143694C211yesmaximal, characteristic, complemented
31C43×#3241C211yesmaximal, characteristic, complemented
32#14583646—21no—
33#14583646—21no—
34#14583629C2211yescharacteristic
35#14583629C2211yescharacteristic
36#14583626C2211yescharacteristic
37#14583626C2211yescharacteristic
38#14583608C2211yescharacteristic
39#14583608C2211yescharacteristic
40#14583605C2211yescharacteristic
41#14583605C2211yescharacteristic
42#14583605C2211yescharacteristic
43#14583605C2211yescharacteristic
44#14583603—21no—
45#14583603—21no—
46#14583570C2211yescharacteristic
47#14583570C2211yescharacteristic
48#14583569C2211yescharacteristic
49#14583569C2211yescharacteristic
50#14583564C2211yescharacteristic
51#14583564C2211yescharacteristic
52#14583562—21no—
53#14583562—21no—
54#14583547—21no—
55#14583547—21no—
56#14583529—21no—
57#14583527C2211yescharacteristic
58#14583526—21no—
59#14583504C2211yescharacteristic
60#14583502C2211yescharacteristic
61#14583502C2211yescharacteristic
62#14583478—21no—
63#14583478—21no—
64#14583476—21no—
65#14583476—21no—
66#14583455—21no—
67#14583452C2211yescharacteristic
68#14583444C2211yescharacteristic
69#14583444C2211yescharacteristic
70C2×#13063324C2211yescharacteristic
71C4⋊Q8×D43—21no—
72#14583380C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583367C2211yescharacteristic
75#14583307C2211yescharacteristic
76#14583306C2211yescharacteristic
77#14583305C2211yescharacteristic
78#14583303C2211yescharacteristic
79#14583303C2211yescharacteristic
80#14583300C2211yescharacteristic
81#14583299C2211yescharacteristic
82#14583298C2211yescharacteristic
83#14583296C2211yescharacteristic
84#14583296C2211yescharacteristic
85#14583265C2211yescharacteristic
86#14583262C2211yescharacteristic
87#14583262C2211yescharacteristic
88#14583247C2211yescharacteristic
89#14583244C2211yescharacteristic
90#14583244C2211yescharacteristic
91#14583244C2211yescharacteristic
92#14583244C2211yescharacteristic
93#14583244C2211yescharacteristic
94#14583244C2211yescharacteristic
95#14583223C2211yescharacteristic
96#14583223C2211yescharacteristic
97#14583218C2211yescharacteristic
98#14583217C2211yescharacteristic
99#14583215C2211yescharacteristic
100#14583213C2211yescharacteristic
101#14583212C2211yescharacteristic
102#14583210C2211yescharacteristic
103#14583209C2211yescharacteristic
104#14583207C2211yescharacteristic
105#14583205C2211yescharacteristic
106#14583203C2211yescharacteristic
107#14583202C2211yescharacteristic
108#14583202C2211yescharacteristic
109#14583201C2211yescharacteristic
110#14583200C2211yescharacteristic
111#14583198C2211yescharacteristic
112#14583198C2211yescharacteristic
113#14583197C2211yescharacteristic
114#14583196C2211yescharacteristic
115#14583196C2211yescharacteristic
116#14583196C2211yescharacteristic
117#14583193C2211yescharacteristic
118#14583193C2211yescharacteristic
119#14583188C2211yescharacteristic
120#14583188C2211yescharacteristic
121#14583188C2211yescharacteristic
122#14583188C2211yescharacteristic
123#14583188C2211yescharacteristic
124#14583187C2211yescharacteristic
125#14583187C2211yescharacteristic
126#14583187C2211yescharacteristic
127#14583186C2211yescharacteristic
128#14583178C2211yescharacteristic
129#14583178C2211yescharacteristic
130#14583178C2211yescharacteristic
131#14583177C2211yescharacteristic
132#14583177C2211yescharacteristic
133#14583177C2211yescharacteristic
134#14583176C2211yescharacteristic
135#14583100C2211yescharacteristic
136#14583098C2211yescharacteristic
137#14583098C2211yescharacteristic
138#14583098C2211yescharacteristic
139#14583098C2211yescharacteristic
140#14583096C2211yescharacteristic
141#14583095C2211yescharacteristic
142#14583093C2211yescharacteristic
143#14583093C2211yescharacteristic
144#14583093C2211yescharacteristic
145#14583093C2211yescharacteristic
146#14583091C2211yescharacteristic
147#14583046C2211yescharacteristic
148#14583046C2211yescharacteristic
149#14583042C2211yescharacteristic
150#14583042C2211yescharacteristic
151#14583028C2211yescharacteristic
152#14583028C2211yescharacteristic
153#14583027C2211yescharacteristic
154#14583027C2211yescharacteristic
155C8×Dic86C2211yescharacteristic
156C8×Dic86C2211yescharacteristic
157#14583023C2211yescharacteristic
158#14583023C2211yescharacteristic
159#14583012C2211yescharacteristic
160#14583010C2211yescharacteristic
161#14583009C2211yescharacteristic
162#14583008C2211yescharacteristic
163#14583001C2211yescharacteristic
164#14582999C2211yescharacteristic
165#14582998C2211yescharacteristic
166#14582996C2211yescharacteristic
167#14582990C2211yescharacteristic
168#14582990C2211yescharacteristic
169#14582990C2211yescharacteristic
170C4×#10621873C2211yescharacteristic
171#14582986C2211yescharacteristic
172#14582986C2211yescharacteristic
173#14582986C2211yescharacteristic
174C4×#10621883C2211yescharacteristic
175C4×D344C2211yescharacteristic
176#14582981C2211yescharacteristic
177#14582981C2211yescharacteristic
178#14582981C2211yescharacteristic
179C4×#10621882C2211yescharacteristic
180#14582979C2211yescharacteristic
181#14582979C2211yescharacteristic
182#14582979C2211yescharacteristic
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582949C2211yescharacteristic
187#14582949C2211yescharacteristic
188C43×#544C2211yescharacteristic
189C43×#540C2211yescharacteristic
190C43×#501C2211yescharacteristic
191C43×#499C2211yescharacteristic
192C43×#490C2211yescharacteristic
193C43×#486C2211yescharacteristic
194C43×#482C2211yescharacteristic
195C43×#482C2211yescharacteristic
196C43×#481C2211yescharacteristic
197C43×#480C2211yescharacteristic
198C43×#478C2211yescharacteristic
199C43×#478C2211yescharacteristic
200C43×#476C2211yescharacteristic
201C43×#474C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×#10621900—21no—
209C2×#10621900—21no—
210C22×Dic86—21no—
211C2×Q8×D43—21no—
212C2×Q8×D43—21no—
213C2×#10621873C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×D344C2311yescharacteristic
218C2×D344C2311yescharacteristic
219C2×#10621882C2311yescharacteristic
220C2×#10621882C2311yescharacteristic
221#13063325—21no—
222#13063324—21no—
223#13063324—21no—
224#13063324—21no—
225#13063324—21no—
226#13063324—21no—
227#13063324—21no—
228#13063324D411yescharacteristic
229#13063324D411yescharacteristic
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063324C2311yescharacteristic
238#13063323—21no—
239#13063323—21no—
240#13063323—21no—
241#13063323—21no—
242#13063322C2311yescharacteristic
243#13063321C2311yescharacteristic
244#13063321C2311yescharacteristic
245#13063321C2311yescharacteristic
246#13063321C2311yescharacteristic
247#13063317—21no—
248#13063317C2311yescharacteristic
249#13063316D411yescharacteristic
250#13063316D411yescharacteristic
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063316C2311yescharacteristic
254#13063316C2311yescharacteristic
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063311—21no—
260#13063311—21no—
261#13063310—21no—
262#13063310—21no—
263#13063309—21no—
264#13063309—21no—
265#13063307—21no—
266#13063307—21no—
267#13063305—21no—
268#13063305—21no—
269#13063305—21no—
270#13063305—21no—
271#13063304—21no—
272#13063304—21no—
273#13063303—21no—
274#13063303—21no—
275#13063303—21no—
276#13063303—21no—
277#13063303—21no—
278#13063303—21no—
279#13063303—21no—
280#13063303—21no—
281#13063303—21no—
282#13063303—21no—
283#13063303—21no—
284#13063303—21no—
285#13063302—21no—
286#13063302—21no—
287#13063302—21no—
288#13063302—21no—
289#13063302—21no—
290#13063302—21no—
291#13063302D411yescharacteristic
292#13063302D411yescharacteristic
293#13063302D411yescharacteristic
294#13063302D411yescharacteristic
295#13063301—21no—
296#13063301—21no—
297#13063299—21no—
298#13063299—21no—
299#13063299C2311yescharacteristic
300#13063299C2311yescharacteristic
301#13063298—21no—
302#13063298—21no—
303#13063298—21no—
304#13063298—21no—
305#13063298—21no—
306#13063298—21no—
307#13063297—21no—
308#13063297—21no—
309#13063297—21no—
310#13063297—21no—
311#13063297—21no—
312#13063297—21no—
313#13063297—21no—
314#13063297—21no—
315#13063296—21no—
316#13063296—21no—
317#13063296—21no—
318#13063296—21no—
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325#13063290—21no—
326#13063290—21no—
327#13063290—21no—
328#13063290—21no—
329#13063290C2311yescharacteristic
330#13063290C2311yescharacteristic
331#13063290C2311yescharacteristic
332#13063290C2311yescharacteristic
333C4×D172C2311yescharacteristic
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336C4×D172C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341#13063287C2311yescharacteristic
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357#13063284C2311yescharacteristic
358#13063283—21no—
359#13063283—21no—
360#13063282—21no—
361C2×C4⋊Dic43C2311yescharacteristic
362C2×Dic43⋊C4—21no—
363C2×Dic43⋊C4—21no—
364C2×Dic43⋊C4—21no—
365C4⋊C4×D43—21no—
366C4⋊C4×D43—21no—
367C4⋊C4×D43—21no—
368C4⋊C4×D43—21no—
369C4⋊C4×D43—21no—
370C4⋊C4×D43—21no—
371C2×C4×Dic43C2311yescharacteristic
372C42×D43—21no—
373#13063259C2311yescharacteristic
374#13063259C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063256C2311yescharacteristic
384#13063256C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
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#13063248C2311yescharacteristic
402#13063248C2311yescharacteristic
403#13063247C2311yescharacteristic
404#13063247C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063246C2311yescharacteristic
410#13063246C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063245C2311yescharacteristic
414#13063245C2311yescharacteristic
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
428C4×C43⋊C8C2311yescharacteristic
429C8×Dic43C2311yescharacteristic
430C8×Dic43C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C4⋊Q8×C43—21no—
436C4⋊Q8×C43C2311yescharacteristic
437C4⋊Q8×C43C2311yescharacteristic
438#127×C43C2311yescharacteristic
439#125×C43—21no—
440#125×C43C2311yescharacteristic
441#125×C43C2311yescharacteristic
442#125×C43C2311yescharacteristic
443#123×C43—21no—
444#123×C43—21no—
445C22⋊Q8×C43—21no—
446C22⋊Q8×C43—21no—
447#121×C43—21no—
448#121×C43—21no—
449#121×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451C4×D4×C43C2311yescharacteristic
452C4×D4×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#102×C43C2311yescharacteristic
467#102×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C2×Q8×C43—21no—
479C2×Q8×C43—21no—
480C2×D4×C43—21no—
481C2×D4×C43—21no—
482C2×D4×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43C2411yescharacteristic
485C2×D4×C43C2411yescharacteristic
486C22×C4×C43—21no—
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43C2411yescharacteristic
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C22×Dic43—21no—
502C22×Dic43—21no—
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506C22×Dic43C2×D411yescharacteristic
507C22×Dic43C2×D411yescharacteristic
508Q8×D43—82no—
509Q8×D43—82no—
510#10621900—82no—
511#10621900—82no—
512#10621900—82no—
513#10621900—82no—
514#10621898—22no—
515#10621898—22no—
516#10621898—82no—
517#10621898—82no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172C2411yescharacteristic
521C2×D172C2411yescharacteristic
522C2×D172C2411yescharacteristic
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×Dic86—21no—
537C2×Dic86—21no—
538C2×Dic86—21no—
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—82no—
545C2×Dic86C2×D411yescharacteristic
546C2×Dic86C2×D411yescharacteristic
547C2×Dic86C2×D411yescharacteristic
548C2×Dic86C2×D411yescharacteristic
549C2×Dic86C2411yescharacteristic
550C2×C8×C43C2411yescharacteristic
551C2×C8×C43C2411yescharacteristic
552C2×C8×C43C2411yescharacteristic
553C2×C8×C43C2411yescharacteristic
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43C2×D411yescharacteristic
564C4⋊C4×C43C2×D411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43C2×D411yescharacteristic
577C22⋊C4×C43C2×D411yescharacteristic
578C42×C43—21no—
579C42×C43C2411yescharacteristic
580C42×C43C2411yescharacteristic
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43C2×D411yescharacteristic
586C22⋊Dic43C2×D411yescharacteristic
587#10621883—22no—
588#10621883—22no—
589#10621882—22no—
590#10621882—22no—
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—
605C4⋊Dic43—21no—
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43C2×D411yescharacteristic
611C4⋊Dic43C2×D411yescharacteristic
612C4⋊Dic43C2×D411yescharacteristic
613C4⋊Dic43C2×D411yescharacteristic
614C4⋊Dic43C2×D411yescharacteristic
615C4⋊Dic43C2×D411yescharacteristic
616C4⋊Dic43C2411yescharacteristic
617C4⋊Dic43C2411yescharacteristic
618C4⋊Dic43C2411yescharacteristic
619C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
630Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
641Dic43⋊C4C2×D411yescharacteristic
642Dic43⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43C2×D411yescharacteristic
655C4×Dic43C2×D411yescharacteristic
656C4×Dic43C2411yescharacteristic
657C4×Dic43C2411yescharacteristic
658C4×Dic43C2411yescharacteristic
659C4×Dic43C2411yescharacteristic
660C2×C43⋊C8C2411yescharacteristic
661C2×C43⋊C8C2411yescharacteristic
662C2×C43⋊C8C2411yescharacteristic
663C2×C43⋊C8C2411yescharacteristic
664D344—22no—
665D344—22no—
666#10621873—22no—
667#10621873—22no—
668C23×C43—21no—
669C23×C43—21no—
670C23×C43C22×D411yescharacteristic
671C22×D43—21no—
672C22×D43—21no—
673C22×D43—21no—
674Q8×C43—81no—
675Q8×C43—81no—
676D4×C43—21no—
677D4×C43—21no—
678D4×C43—21no—
679D4×C43—21no—
680D4×C43—81no—
681D4×C43—81no—
682D4×C43—81no—
683D4×C43—81no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—81no—
693C2×C4×C43—81no—
694C2×C4×C43—81no—
695C2×C4×C43C22×D411yescharacteristic
696C2×C4×C43C22×D411yescharacteristic
697C2×C4×C43C22×D411yescharacteristic
698C2×C4×C43C22×D411yescharacteristic
699C2×C4×C43C22×D411yescharacteristic
700C2×C4×C43C2511yescharacteristic
701C22⋊D43—24no—
702C22⋊D43—42no—
703C22⋊D43—42no—
704C22⋊D43—81no—
705C22⋊D43—81no—
706C22⋊D43—81no—
707C22⋊D43—81no—
708C22⋊D43—81no—
709C22⋊D43—81no—
710C22⋊D43—81no—
711C22⋊D43—81no—
712C2×Dic43—21no—
713C2×Dic43—22no—
714C2×Dic43—22no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—42no—
720C2×Dic43—42no—
721C2×Dic43—81no—
722C2×Dic43—81no—
723C2×Dic43—81no—
724C2×Dic43C22×D411yescharacteristic
725C2×Dic43C22×D411yescharacteristic
726C2×Dic43C22×D411yescharacteristic
727C2×Dic43C22×D411yescharacteristic
728C2×Dic43C22×D411yescharacteristic
729C2×Dic43C22×D411yescharacteristic
730C2×Dic43C22×D411yescharacteristic
731C2×Dic43C22×D411yescharacteristic
732D172—21no—
733D172—21no—
734D172—21no—
735D172—21no—
736D172—21no—
737D172—81no—
738D172—81no—
739D1722−1+412yes—
740C4×D43—24no—
741C4×D43—42no—
742C4×D43—42no—
743C4×D43—42no—
744C4×D43—42no—
745C4×D43—81no—
746C4×D43—81no—
747C4×D43—81no—
748C4×D43—81no—
749C4×D43—81no—
750C4×D43—81no—
751C4×D43—81no—
752C4×D43—81no—
753Dic86—21no—
754Dic86—22no—
755Dic86—22no—
756Dic86—22no—
757Dic86—22no—
758Dic86—42no—
759Dic86—42no—
760Dic86—81no—
761Dic86—81no—
762Dic86—81no—
763Dic86—81no—
764Dic86—81no—
765Dic86—81no—
766Dic862−1+412yes—
767C8×C43—21no—
768C8×C43—21no—
769C8×C43—21no—
770C8×C43—21no—
771C43⋊C8—21no—
772C43⋊C8—21no—
773C43⋊C8—21no—
774C43⋊C8—21no—
775#61868—431nomaximal, Sylow
776C22×C43—21no—
777C22×C43—21no—
778C22×C43—21no—
779C22×C43—41no—
780C22×C43—41no—
781C22×C43—41no—
782C22×C43—41no—
783C22×C43—41no—
784C22×C43—41no—
785C22×C43C23×D411yescharacteristic
786C2×D43—22no—
787C2×D43—41no—
788C2×D43—41no—
789C2×D43—41no—
790C2×D43—41no—
791C2×D43—41no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C4×C43—21no—
796C4×C43—21no—
797C4×C43—21no—
798C4×C43—21no—
799C4×C43—21no—
800C4×C43—41no—
801C4×C43—41no—
802C4×C43—41no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43C2×2−1+411yescharacteristic
807C4×C43C2×2−1+411yescharacteristic
808Dic43—22no—
809Dic43—21no—
810Dic43—21no—
811Dic43—21no—
812Dic43—21no—
813Dic43—21no—
814Dic43—21no—
815Dic43—41no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819Dic43#57612yes—
820Dic43#57712yes—
821#3548—431no—
822#3503—431no—
823#3385—431no—
824#3385—431no—
825#3384—431no—
826#3384—431no—
827#3381—431no—
828#3381—431no—
829#3380—431no—
830#3380—431no—
831#3368—431no—
832#3368—431no—
833#3366—431no—
834#3366—431no—
835#3362—431no—
836#3362—431no—
837#3358—431no—
838#3358—431no—
839#3241—431no—
840#3241—431no—
841#3241—431no—
842#3241D4311yescharacteristic, complemented
843#3227—431no—
844#3226—431no—
845#3119—431no—
846#3119—431no—
847#3119—431no—
848#3119—431no—
849#3106—431no—
850#3106—431no—
851#2986—431no—
852C2×C43—41no—
853C2×C43—81no—
854C2×C43—81no—
855C2×C43#348611yescharacteristic
856C2×C43C2×#57611yescharacteristic
857C2×C43C2×#57711yescharacteristic
858D43—42no—
859D43—81no—
860D43—81no—
861#562—861no—
862#562—861no—
863Q82—431no—
864Q82—431no—
865#557—431no—
866#557—431no—
867#554—431no—
868#554—431no—
869#554—431no—
870#554—431no—
871#554—431no—
872#554—431no—
873#554—861no—
874#554—861no—
875#550—431no—
876#550—431no—
877#550—431no—
878#550—431no—
879D4×Q8—431no—
880D4×Q8—431no—
881D4×Q8—861no—
882D4×Q8—861no—
883#547—861no—
884#547—861no—
885#544—431no—
886#544—861no—
887#544—861no—
888#544C2×D4311yescharacteristic
889#540—431no—
890#540—431no—
891#540—431no—
892#540C2×D4311yescharacteristic
893#537—861no—
894#537—861no—
895#537—861no—
896#537—861no—
897#533—431no—
898#533—861no—
899#532—431no—
900#532—431no—
901C2×C4⋊Q8—431no—
902C2×C4⋊Q8—861no—
903#520—431no—
904#520—431no—
905C4×#41—431no—
906#501—431no—
907#501—431no—
908#501—431no—
909#501C2×D4311yescharacteristic
910#500—431no—
911#500—431no—
912#499—431no—
913#499—431no—
914#499—431no—
915#499C2×D4311yescharacteristic
916#498—431no—
917#498—431no—
918#490—431no—
919#490—431no—
920#490—431no—
921#490C2×D4311yescharacteristic
922#486—431no—
923#486—431no—
924#486—431no—
925#486—431no—
926#486—431no—
927#486—431no—
928#486—431no—
929#486C2×D4311yescharacteristic
930#482—431no—
931#482—431no—
932#482C2×D4311yescharacteristic
933#482C2×D4311yescharacteristic
934#481—431no—
935#481—431no—
936#481—431no—
937#481C2×D4311yescharacteristic
938#480—431no—
939#480—431no—
940#480—431no—
941#480C2×D4311yescharacteristic
942#479—431no—
943#479—431no—
944#479—431no—
945#479—431no—
946#478—431no—
947#478—431no—
948#478—431no—
949#478—431no—
950#478—431no—
951#478—431no—
952#478—431no—
953#478—431no—
954#478—431no—
955#478—431no—
956#478C2×D4311yescharacteristic
957#478C2×D4311yescharacteristic
958#477—431no—
959#477—431no—
960#476—431no—
961#476—431no—
962#476—431no—
963#476—431no—
964#476—431no—
965#476—431no—
966#476—431no—
967#476—431no—
968#476—431no—
969#476C2×D4311yescharacteristic
970#474—431no—
971#474—431no—
972#474—431no—
973#474—431no—
974#474—431no—
975#474—431no—
976#474—431no—
977#474C2×D4311yescharacteristic
978#460—431no—
979#460—431no—
980#460—431no—
981#460—431no—
982#460—431no—
983#460—431no—
984#459—431no—
985#459—431no—
986#459—431no—
987#459—431no—
988#459—431no—
989#459—431no—
990#449—431no—
991#449—431no—
992#449—431no—
993#449—431no—
994#446—431no—
995#446—431no—
996#446—431no—
997#446—431no—
998C8×Q8—431no—
999C8×Q8—431no—
1000C8×Q8—431no—
1001C8×Q8—431no—
1002#442—431no—
1003#442—431no—
1004#442—431no—
1005#442—431no—
1006#440—431no—
1007#440—431no—
1008#440—431no—
1009#440—431no—
1010C4×SD16—431no—
1011C4×SD16—431no—
1012C4×SD16—431no—
1013C4×SD16—431no—
1014C4×SD16—431no—
1015C4×SD16—431no—
1016C4×SD16—431no—
1017C4×SD16—431no—
1018C4×D8—431no—
1019C4×D8—431no—
1020C4×D8—431no—
1021C4×D8—431no—
1022C4×D8—431no—
1023C4×D8—431no—
1024C4×D8—431no—
1025C4×D8—431no—
1026#433—431no—
1027#433—431no—
1028#433—431no—
1029#433C2×D4311yescharacteristic
1030#431—431no—
1031#431—431no—
1032C43#6186811yescharacteristic, complemented, Sylow
1033C2×#41—431no—
1034C2×#41—861no—
1035C2×#41—861no—
1036C2×#41—861no—
1037C2×#41—861no—
1038C2×#41—861no—
1039C2×#41—861no—
1040C22×Q8—861no—
1041C22×Q8—861no—
1042C22×Q8—861no—
1043C2×SD16—431no—
1044C2×SD16—431no—
1045C2×SD16—431no—
1046C2×SD16—431no—
1047C2×D8—431no—
1048C2×D8—431no—
1049C2×D8—431no—
1050C2×D8—431no—
1051C4⋊Q8—21no—
1052C4⋊Q8—431no—
1053C4⋊Q8—431no—
1054C4⋊Q8—431no—
1055C4⋊Q8—431no—
1056C4⋊Q8—431no—
1057C4⋊Q8—431no—
1058C4⋊Q8—431no—
1059C4⋊Q8—431no—
1060C4⋊Q8—431no—
1061C4⋊Q8—431no—
1062C4⋊Q8—861no—
1063C4⋊Q8—861no—
1064C4⋊Q8—861no—
1065C4⋊Q8—861no—
1066C4⋊Q8—861no—
1067C4⋊Q8—861no—
1068C4⋊Q8—861no—
1069C4⋊Q8—861no—
1070C4⋊Q8—861no—
1071C4⋊Q8—861no—
1072C4⋊Q8—861no—
1073C4⋊Q8C22×D4311yescharacteristic
1074C4⋊Q8C22×D4311yescharacteristic
1075#127—431no—
1076#127—431no—
1077#127—431no—
1078#127—431no—
1079#127—431no—
1080#127C22×D4311yescharacteristic
1081#125—21no—
1082#125—431no—
1083#125—431no—
1084#125—431no—
1085#125—431no—
1086#125—431no—
1087#125—431no—
1088#125—431no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125—861no—
1093#125—861no—
1094#125C22×D4311yescharacteristic
1095#125C22×D4311yescharacteristic
1096#125C22×D4311yescharacteristic
1097#124—861no—
1098#124—861no—
1099#123—21no—
1100#123—21no—
1101#123—861no—
1102#123—861no—
1103#123—861no—
1104#123—861no—
1105#123—861no—
1106#123—861no—
1107C22⋊Q8—21no—
1108C22⋊Q8—21no—
1109C22⋊Q8—431no—
1110C22⋊Q8—431no—
1111C22⋊Q8—431no—
1112C22⋊Q8—431no—
1113C22⋊Q8—861no—
1114C22⋊Q8—861no—
1115C22⋊Q8—861no—
1116C22⋊Q8—861no—
1117C22⋊Q8—861no—
1118C22⋊Q8—861no—
1119C22⋊Q8—861no—
1120C22⋊Q8—861no—
1121C22⋊Q8—861no—
1122C22⋊Q8—861no—
1123C22⋊Q8—861no—
1124C22⋊Q8—861no—
1125C22⋊Q8—861no—
1126C22⋊Q8—861no—
1127C22⋊Q8—861no—
1128C22⋊Q8—861no—
1129C22⋊Q8—861no—
1130C22⋊Q8—861no—
1131C22⋊Q8—861no—
1132C22⋊Q8—861no—
1133C22⋊Q8—861no—
1134C22⋊Q8—861no—
1135C22⋊Q8—861no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139#121—21no—
1140#121—21no—
1141#121—431no—
1142#121—431no—
1143#121—861no—
1144#121—861no—
1145#121—861no—
1146#121—861no—
1147#121—861no—
1148#121—861no—
1149#121—861no—
1150#121—861no—
1151#121—861no—
1152#121—861no—
1153#121—861no—
1154#121—861no—
1155#121—861no—
1156#121—861no—
1157#121—861no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121C22×D4311yescharacteristic
1164#121C22×D4311yescharacteristic
1165C4×Q8—431no—
1166C4×Q8—431no—
1167C4×Q8—431no—
1168C4×Q8—431no—
1169C4×Q8—431no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—861no—
1176C4×Q8—861no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×D4—431no—
1180C4×D4—431no—
1181C4×D4—431no—
1182C4×D4—431no—
1183C4×D4—431no—
1184C4×D4—431no—
1185C4×D4—431no—
1186C4×D4—431no—
1187C4×D4—431no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—431no—
1194C4×D4—431no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4C22×D4311yescharacteristic
1204C4×D4C22×D4311yescharacteristic
1205#117—431no—
1206#117—861no—
1207#117—861no—
1208#117—861no—
1209#117C22×D4311yescharacteristic
1210#117C22×D4311yescharacteristic
1211C2×C4⋊C4—431no—
1212C2×C4⋊C4—861no—
1213C2×C4⋊C4—861no—
1214C2×C4⋊C4—861no—
1215C2×C4⋊C4—861no—
1216C2×C4⋊C4—861no—
1217C2×C4⋊C4—861no—
1218C2×C4⋊C4—861no—
1219C2×C4⋊C4—861no—
1220C2×C4⋊C4—861no—
1221C2×C4⋊C4C22×D4311yescharacteristic
1222C2×C42—431no—
1223C2×C42—861no—
1224#107—431no—
1225#107—431no—
1226#107—431no—
1227#107—431no—
1228#107—431no—
1229#107—431no—
1230#107—431no—
1231#107—431no—
1232#107C22×D4311yescharacteristic
1233#107C22×D4311yescharacteristic
1234#107C22×D4311yescharacteristic
1235#107C22×D4311yescharacteristic
1236#106—431no—
1237#106—431no—
1238#106—431no—
1239#106—431no—
1240#106—431no—
1241#106—431no—
1242#106—431no—
1243#106—431no—
1244#106C22×D4311yescharacteristic
1245#106C22×D4311yescharacteristic
1246#106C22×D4311yescharacteristic
1247#106C22×D4311yescharacteristic
1248C4⋊C8—431no—
1249C4⋊C8—431no—
1250C4⋊C8—431no—
1251C4⋊C8—431no—
1252C4⋊C8—431no—
1253C4⋊C8—431no—
1254C4⋊C8—431no—
1255C4⋊C8—431no—
1256C4⋊C8—431no—
1257C4⋊C8—431no—
1258C4⋊C8C22×D4311yescharacteristic
1259C4⋊C8C22×D4311yescharacteristic
1260#103—431no—
1261#103—431no—
1262#103—431no—
1263#103—431no—
1264#102—431no—
1265#102—431no—
1266#102—431no—
1267#102—431no—
1268#102—431no—
1269#102—431no—
1270#102—431no—
1271#102—431no—
1272#102—431no—
1273#102—431no—
1274#102—431no—
1275#102—431no—
1276#102—431no—
1277#102—431no—
1278#102—431no—
1279#102—431no—
1280#102—431no—
1281#102—431no—
1282#102—431no—
1283#102—431no—
1284#102C22×D4311yescharacteristic
1285#102C22×D4311yescharacteristic
1286#102C22×D4311yescharacteristic
1287#102C22×D4311yescharacteristic
1288#102C22×D4311yescharacteristic
1289#102C22×D4311yescharacteristic
1290#102C22×D4311yescharacteristic
1291#102C22×D4311yescharacteristic
1292C22⋊C8—431no—
1293C22⋊C8—431no—
1294C22⋊C8C22×D4311yescharacteristic
1295C22⋊C8C22×D4311yescharacteristic
1296#97—431no—
1297#97—431no—
1298#97—431no—
1299#97C22×D4311yescharacteristic
1300C4×C8—431no—
1301C4×C8—431no—
1302C4×C8—431no—
1303C4×C8—431no—
1304C4×C8—431no—
1305C4×C8—431no—
1306C4×C8—431no—
1307C4×C8C22×D4311yescharacteristic
1308#41—862no—
1309#41—862no—
1310#41—3442no—
1311#41—3442no—
1312#41—3442no—
1313#41—3442no—
1314#41—3442no—
1315#41—3442no—
1316C2×Q8—21no—
1317C2×Q8—21no—
1318C2×Q8—431no—
1319C2×Q8—431no—
1320C2×Q8—431no—
1321C2×Q8—431no—
1322C2×Q8—431no—
1323C2×Q8—861no—
1324C2×Q8—861no—
1325C2×Q8—861no—
1326C2×Q8—861no—
1327C2×Q8—861no—
1328C2×Q8—861no—
1329C2×Q8—861no—
1330C2×Q8—861no—
1331C2×Q8—3442no—
1332C2×Q8—3442no—
1333C2×Q8—3442no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—431no—
1339C2×D4—431no—
1340C2×D4—431no—
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×D4C23×D4311yescharacteristic
1355C2×D4C23×D4311yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
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—861no—
1375C22×C4—861no—
1376C22×C4—861no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4C23×D4311yescharacteristic
1380SD16—862no—
1381SD16—862no—
1382SD16—862no—
1383SD16—862no—
1384D8—862no—
1385D8—862no—
1386D8—862no—
1387D8—862no—
1388C2×C8—431no—
1389C2×C8—431no—
1390C2×C8—431no—
1391C2×C8—431no—
1392C2×C8C23×D4311yescharacteristic
1393C2×C8C23×D4311yescharacteristic
1394C2×C8C23×D4311yescharacteristic
1395C2×C8C23×D4311yescharacteristic
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—431no—
1406C4⋊C4—431no—
1407C4⋊C4—431no—
1408C4⋊C4—431no—
1409C4⋊C4—431no—
1410C4⋊C4—431no—
1411C4⋊C4—431no—
1412C4⋊C4—431no—
1413C4⋊C4—431no—
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—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1449C4⋊C4D4×D4311yescharacteristic
1450C4⋊C4C23×D4311yescharacteristic
1451C4⋊C4C23×D4311yescharacteristic
1452C4⋊C4C23×D4311yescharacteristic
1453C4⋊C4C23×D4311yescharacteristic
1454C4⋊C4C23×D4311yescharacteristic
1455C4⋊C4C23×D4311yescharacteristic
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⋊C4D4×D4311yescharacteristic
1482C22⋊C4D4×D4311yescharacteristic
1483C42—21no—
1484C42—431no—
1485C42—431no—
1486C42—431no—
1487C42—431no—
1488C42—431no—
1489C42—431no—
1490C42—861no—
1491C42—861no—
1492C42—861no—
1493C42—861no—
1494C42—861no—
1495C42—861no—
1496C42C23×D4311yescharacteristic
1497C42C23×D4311yescharacteristic
1498C23—21no—
1499C23—21no—
1500C23—861no—
1501C23—861no—
1502C23—861no—
1503C23C2×D4×D4311yescharacteristic
1504Q8—81no—
1505Q8—81no—
1506Q8—432no—
1507Q8—862no—
1508Q8—862no—
1509Q8—862no—
1510Q8—862no—
1511Q8—861no—
1512Q8—3441no—
1513Q8—3441no—
1514Q8—3441no—
1515Q8—3441no—
1516Q8—3441no—
1517Q8—3441no—
1518Q8—1722no—
1519Q8—1722no—
1520D4—21no—
1521D4—21no—
1522D4—21no—
1523D4—21no—
1524D4—81no—
1525D4—81no—
1526D4—81no—
1527D4—81no—
1528D4—432no—
1529D4—864no—
1530D4—861no—
1531D4—861no—
1532D4—861no—
1533D4—861no—
1534D4—861no—
1535D4—3441no—
1536D4—3441no—
1537D4—3441no—
1538D4—3441no—
1539D4—3441no—
1540D4—3441no—
1541D4—3441no—
1542D4—3441no—
1543D4—3441no—
1544D4—3441no—
1545D4—1722no—
1546D4—1722no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—81no—
1556C2×C4—81no—
1557C2×C4—81no—
1558C2×C4—431no—
1559C2×C4—431no—
1560C2×C4—431no—
1561C2×C4—431no—
1562C2×C4—431no—
1563C2×C4—431no—
1564C2×C4—431no—
1565C2×C4—431no—
1566C2×C4—864no—
1567C2×C4—862no—
1568C2×C4—862no—
1569C2×C4—861no—
1570C2×C4—861no—
1571C2×C4—861no—
1572C2×C4—861no—
1573C2×C4—861no—
1574C2×C4—3441no—
1575C2×C4—3441no—
1576C2×C4—3441no—
1577C2×C4—3441no—
1578C2×C4—3441no—
1579C2×C4—3441no—
1580C2×C4—3441no—
1581C2×C4—3441no—
1582C2×C4—3441no—
1583C2×C4—3441no—
1584C2×C4—3441no—
1585C2×C4—1722no—
1586C2×C4—1722no—
1587C2×C4—1722no—
1588C2×C4—1722no—
1589C2×C4—1722no—
1590C2×C4—1722no—
1591C2×C4C2×D4×D4311yescharacteristic
1592C2×C4C2×D4×D4311yescharacteristic
1593C2×C4C2×D4×D4311yescharacteristic
1594C2×C4C2×D4×D4311yescharacteristic
1595C2×C4C2×D4×D4311yescharacteristic
1596C2×C4C24×D4311yescharacteristic
1597C8—21no—
1598C8—21no—
1599C8—21no—
1600C8—21no—
1601C8—861no—
1602C8—861no—
1603C8—861no—
1604C8—861no—
1605C22—21no—
1606C22—21no—
1607C22—21no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—862no—
1615C22—1721no—
1616C22—1721no—
1617C22—1721no—
1618C22—1721no—
1619C22—1721no—
1620C22—1721no—
1621C22—1721no—
1622C22—1721no—
1623C22C22×D4×D4311yescharacteristic
1624C4—21no—
1625C4—21no—
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—432no—
1636C4—432no—
1637C4—861no—
1638C4—861no—
1639C4—861no—
1640C4—861no—
1641C4—861no—
1642C4—861no—
1643C4—862no—
1644C4—1721no—
1645C4—1721no—
1646C4—1721no—
1647C4—1721no—
1648C42−1+4×D4311yescharacteristic
1649C42−1+4×D4311yescharacteristic
1650C2—41no—
1651C2—81no—
1652C2—81no—
1653C2—3441no—
1654C2—3441no—
1655C2—1722no—
1656C2#1914824411yescharacteristic
1657C2#576×D4311yescharacteristic
1658C2#577×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3241C2
socleC22×C43C23×D4
hypercenter#3241D43
hypocenterC43#61868
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3241

Complements

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

NH ≅ G/Ntype
1. #19148989C2semidirect
2. #19148410C2semidirect
3. #19147502C2semidirect
4. #19147500C2semidirect
5. #19147491C2semidirect
6. #19147489C2semidirect
7. #19147467C2semidirect
8. #19147465C2semidirect
9. #19147459C2semidirect
10. #19147457C2semidirect
11. #19147327C2semidirect
12. #19147321C2semidirect
13. #19147305C2semidirect
14. #19147299C2semidirect
15. #19147265C2semidirect
16. #19147263C2semidirect
17. #19147229C2semidirect
18. #19147227C2semidirect
19. #19145854C2semidirect
20. #19145848C2semidirect
21. #19145846C2semidirect
22. #19145721C2semidirect
23. #19145714C2semidirect
24. #19144797C2semidirect
25. #19144796C2semidirect
26. #19144789C2semidirect
27. #19144788C2semidirect
28. #19144650C2semidirect
29. #19144650C2semidirect
30. #19143694C2semidirect
31. C43×#3241C2semidirect
842. #3241D43semidirect
1032. C43#61868semidirect

Maximal subgroups

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

subgroupindex
#191489892
#191484102
#191475022
#191475002
#191474912
#191474892
#191474672
#191474652
#191474592
#191474572
#191473272
#191473212
#191473052
#191472992
#191472652
#191472632
#191472292
#191472272
#191458542
#191458482
#191458462
#191457212
#191457142
#191447972
#191447962
#191447892
#191447882
#191446502
#191436942
C43×#32412
#6186843