Finite Group Databasebeta

← #25969293

Subgroups — #25969293

Order 11008.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148418C211yesmaximal, characteristic, complemented
2#19148015C211yesmaximal, characteristic
3#19145898C211yesmaximal, characteristic, complemented
4#19145885C211yesmaximal, characteristic, complemented
5#19145872C211yesmaximal, characteristic, complemented
6#19145853C211yesmaximal, characteristic, complemented
7#19145850C211yesmaximal, characteristic, complemented
8#19145848C211yesmaximal, characteristic, complemented
9#19145847C211yesmaximal, characteristic, complemented
10#19145839C211yesmaximal, characteristic, complemented
11#19145832C211yesmaximal, characteristic, complemented
12#19145786C211yesmaximal, characteristic, complemented
13#19145784C211yesmaximal, characteristic, complemented
14#19145766C211yesmaximal, characteristic, complemented
15#19145758C211yesmaximal, characteristic, complemented
16#19145732C211yesmaximal, characteristic, complemented
17#19145729C211yesmaximal, characteristic, complemented
18#19145130C211yesmaximal, characteristic, complemented
19#19145120C211yesmaximal, characteristic, complemented
20#19144948C211yesmaximal, characteristic, complemented
21#19144946C211yesmaximal, characteristic, complemented
22#19144579C211yesmaximal, characteristic, complemented
23#19144576C211yesmaximal, characteristic, complemented
24#19144552C211yesmaximal, characteristic, complemented
25#19144548C211yesmaximal, characteristic, complemented
26#19144414C211yesmaximal, characteristic, complemented
27#19144393C211yesmaximal, characteristic, complemented
28#19144378C211yesmaximal, characteristic, complemented
29#478×D43C211yesmaximal, characteristic, complemented
30#19143258C211yesmaximal, characteristic, complemented
31C43×#3244C211yesmaximal, characteristic, complemented
32#14583626—21no—
33#14583624—21no—
34#14583610—21no—
35#14583607—21no—
36#14583607—21no—
37#14583605—21no—
38#14583603—21no—
39#14583603—21no—
40#14583529C2211yescharacteristic
41#14583529C2211yescharacteristic, complemented
42#14583527C2211yescharacteristic, complemented
43#14583526C2211yescharacteristic
44#14583526C2211yescharacteristic
45#14583526C2211yescharacteristic, complemented
46#14583521C2211yescharacteristic
47#14583519—21no—
48#14583504C2211yescharacteristic
49#14583501—21no—
50#14583500C2211yescharacteristic
51#14583488—21no—
52#14583483—21no—
53#14583479C2211yescharacteristic
54#14583467C2211yescharacteristic
55#14583465C2211yescharacteristic
56#14583454C2211yescharacteristic
57#14583454C2211yescharacteristic, complemented
58#14583452C2211yescharacteristic, complemented
59#14583450C2211yescharacteristic
60#14583448—21no—
61#14583444C2211yescharacteristic
62#14583435C2211yescharacteristic
63#14583432—21no—
64#14583428C2211yescharacteristic
65C2×#13063316C2211yescharacteristic, complemented
66#125×D43C2211yescharacteristic
67#125×D43C2211yescharacteristic, complemented
68#14583412—21no—
69#14583407—21no—
70#14583380C2211yescharacteristic
71#14583379C2211yescharacteristic
72C4×#10621902C2211yescharacteristic
73#14583367C2211yescharacteristic
74C4×D4×D43C2211yescharacteristic
75#14583308C2211yescharacteristic, complemented
76#14583307C2211yescharacteristic, complemented
77#14583306C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583305C2211yescharacteristic, complemented
81#14583305C2211yescharacteristic, complemented
82#14583303C2211yescharacteristic, complemented
83#14583302C2211yescharacteristic, complemented
84#14583301C2211yescharacteristic, complemented
85#14583299C2211yescharacteristic, complemented
86#14583299C2211yescharacteristic, complemented
87#14583298C2211yescharacteristic, complemented
88#14583296C2211yescharacteristic, complemented
89#14583265C2211yescharacteristic
90#14583264C2211yescharacteristic
91#14583262C2211yescharacteristic
92#14583262C2211yescharacteristic
93#14583260C2211yescharacteristic
94#14583260C2211yescharacteristic
95#14583258C2211yescharacteristic
96#14583255C2211yescharacteristic
97#14583255C2211yescharacteristic
98#14583253C2211yescharacteristic
99#14583247C2211yescharacteristic
100#14583246C2211yescharacteristic
101#14583244C2211yescharacteristic
102#14583244C2211yescharacteristic
103#14583239C2211yescharacteristic, complemented
104#14583239C2211yescharacteristic, complemented
105#14583237C2211yescharacteristic, complemented
106#14583233C2211yescharacteristic, complemented
107#14583232C2211yescharacteristic, complemented
108#14583228C2211yescharacteristic, complemented
109#14583225C2211yescharacteristic
110#14583225C2211yescharacteristic
111#14583225C2211yescharacteristic, complemented
112#14583225C2211yescharacteristic, complemented
113#14583224C2211yescharacteristic
114#14583224C2211yescharacteristic, complemented
115#14583223C2211yescharacteristic
116#14583223C2211yescharacteristic, complemented
117#14583222C2211yescharacteristic
118#14583222C2211yescharacteristic
119#14583220C2211yescharacteristic
120#14583219C2211yescharacteristic
121#14583219C2211yescharacteristic, complemented
122#14583218C2211yescharacteristic
123#14583217C2211yescharacteristic, complemented
124#14583216C2211yescharacteristic
125#14583214C2211yescharacteristic
126#14583214C2211yescharacteristic, complemented
127#14583213C2211yescharacteristic, complemented
128#14583212C2211yescharacteristic
129#14583211C2211yescharacteristic
130#14583210C2211yescharacteristic
131#14583208C2211yescharacteristic, complemented
132#14583206C2211yescharacteristic, complemented
133#14583204C2211yescharacteristic, complemented
134#14583204C2211yescharacteristic, complemented
135#14583204C2211yescharacteristic, complemented
136#14583202C2211yescharacteristic
137#14583202C2211yescharacteristic, complemented
138#14583201C2211yescharacteristic
139#14583200C2211yescharacteristic
140#14583200C2211yescharacteristic, complemented
141#14583199C2211yescharacteristic
142#14583198C2211yescharacteristic
143#14583198C2211yescharacteristic
144#14583198C2211yescharacteristic
145#14583198C2211yescharacteristic, complemented
146#14583198C2211yescharacteristic, complemented
147#14583198C2211yescharacteristic, complemented
148#14583197C2211yescharacteristic
149#14583197C2211yescharacteristic
150#14583197C2211yescharacteristic
151#14583196C2211yescharacteristic
152#14583196C2211yescharacteristic, complemented
153#14583194C2211yescharacteristic, complemented
154#14583190C2211yescharacteristic, complemented
155#14583186C2211yescharacteristic
156#14583180C2211yescharacteristic
157#14583179C2211yescharacteristic
158#14583176C2211yescharacteristic, complemented
159#14582960C2211yescharacteristic, complemented
160#14582959C2211yescharacteristic, complemented
161#14582959C2211yescharacteristic, complemented
162#14582954C2211yescharacteristic, complemented
163#14582953C2211yescharacteristic, complemented
164#14582950C2211yescharacteristic, complemented
165#14582949C2211yescharacteristic, complemented
166#14582940C2211yescharacteristic
167#14582938C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582938C2211yescharacteristic
170#14582934C2211yescharacteristic
171#14582934C2211yescharacteristic
172#107×D43C2211yescharacteristic
173#106×D43C2211yescharacteristic
174#14582921C2211yescharacteristic
175C4⋊C8×D43C2211yescharacteristic
176#14582902C2211yescharacteristic
177#14582902C2211yescharacteristic
178#14582899C2211yescharacteristic
179#14582899C2211yescharacteristic
180#14582894C2211yescharacteristic
181#14582894C2211yescharacteristic
182#102×D43C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582856C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#544C2211yescharacteristic, complemented
189C43×#542C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#498C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic
193C43×#488C2211yescharacteristic
194C43×#485C2211yescharacteristic, complemented
195C43×#483C2211yescharacteristic, complemented
196C43×#482C2211yescharacteristic
197C43×#481C2211yescharacteristic
198C43×#479C2211yescharacteristic, complemented
199C43×#478C2211yescharacteristic
200C43×#476C2211yescharacteristic
201C43×#475C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×D4×D43C2311yescharacteristic
208C22×C4×D43—21no—
209C2×#10621872C2311yescharacteristic
210C2×#10621872C2311yescharacteristic
211C2×C8×D43C2311yescharacteristic
212C2×C8×D43C2311yescharacteristic
213#13063325C2311yescharacteristic
214#13063325C2311yescharacteristic
215#13063324—21no—
216#13063324—21no—
217#13063324—21no—
218#13063324C2311yescharacteristic
219#13063324C2311yescharacteristic
220#13063324C2311yescharacteristic
221#13063323—21no—
222#13063323—21no—
223#13063323—21no—
224#13063322C2311yescharacteristic
225#13063321—21no—
226#13063321C2311yescharacteristic
227#13063320—21no—
228#13063319—21no—
229#13063318—21no—
230#13063317C2311yescharacteristic
231#13063317C2311yescharacteristic
232#13063317C2311yescharacteristic
233#13063316—21no—
234#13063316—21no—
235#13063316—21no—
236#13063316C2311yescharacteristic
237#13063316C2311yescharacteristic
238#13063316C2311yescharacteristic
239#13063316C2311yescharacteristic
240#13063316C2311yescharacteristic
241#13063316C2311yescharacteristic
242#13063316C2311yescharacteristic
243#13063315—21no—
244#13063315—21no—
245#13063315—21no—
246#13063315—21no—
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063314—21no—
253#13063314C2311yescharacteristic
254#13063313—21no—
255#13063311—21no—
256#13063311—21no—
257#13063310—21no—
258#13063310—21no—
259#13063310—21no—
260#13063309—21no—
261#13063308—21no—
262#13063307—21no—
263#13063307—21no—
264#13063305—21no—
265#13063305—21no—
266#13063305—21no—
267#13063305—21no—
268#13063303—21no—
269#13063303—21no—
270#13063303—21no—
271#13063303—21no—
272#13063303—21no—
273#13063303—21no—
274#13063303—21no—
275#13063302—21no—
276#13063302—21no—
277#13063302—21no—
278#13063302—21no—
279#13063301—21no—
280#13063301—21no—
281#13063301—21no—
282#13063301—21no—
283#13063301—21no—
284#13063301C2311yescharacteristic
285#13063300—21no—
286#13063300—21no—
287#13063300C2311yescharacteristic
288#13063300C2311yescharacteristic
289#13063299—21no—
290#13063299C2311yescharacteristic
291#13063299C2311yescharacteristic
292#13063298—21no—
293#13063298—21no—
294#13063298—21no—
295#13063298—21no—
296#13063298—21no—
297#13063298—21no—
298#13063298—21no—
299#13063297—21no—
300#13063296C2311yescharacteristic
301#13063295—21no—
302#13063295—21no—
303#13063295—21no—
304#13063293—21no—
305Q8×Dic43—21no—
306Q8×Dic43—21no—
307Q8×Dic43C2311yescharacteristic
308C4×Dic86—21no—
309C4×Dic86—21no—
310C4×Dic86—21no—
311#13063290—21no—
312#13063290—21no—
313#13063290—21no—
314#13063290D411yescharacteristic
315#13063290D411yescharacteristic
316C4×D172—21no—
317C4×D172—21no—
318C4×D172C2311yescharacteristic
319C4×D172C2311yescharacteristic
320D4×Dic43C2311yescharacteristic
321#13063287—21no—
322#13063287—21no—
323#13063287—21no—
324#13063287D411yescharacteristic
325#13063287D411yescharacteristic
326#13063287C2311yescharacteristic
327#13063287C2311yescharacteristic
328C4×C22⋊D43—21no—
329C4×C22⋊D43—21no—
330C4×C22⋊D43—21no—
331(C22⋊D43)⋊C4—21no—
332(C22⋊D43)⋊C4—21no—
333(C22⋊D43)⋊C4—21no—
334(C22⋊D43)⋊C4—21no—
335(C22⋊D43)⋊C4—21no—
336(C22⋊D43)⋊C4—21no—
337(C22⋊D43)⋊C4D411yescharacteristic
338(C22⋊D43)⋊C4D411yescharacteristic
339(C22⋊D43)⋊C4D411yescharacteristic
340(C22⋊D43)⋊C4D411yescharacteristic
341#13063284C2311yescharacteristic
342#13063283—21no—
343#13063283—21no—
344#13063283C2311yescharacteristic
345#13063283C2311yescharacteristic
346#13063283C2311yescharacteristic
347#13063283C2311yescharacteristic
348#13063283C2311yescharacteristic
349#13063282C2311yescharacteristic
350#13063282C2311yescharacteristic
351#13063281—21no—
352C2×C4⋊Dic43—21no—
353C2×C4⋊Dic43C2311yescharacteristic
354C2×Dic43⋊C4—21no—
355C4⋊C4×D43—21no—
356C4⋊C4×D43—21no—
357C4⋊C4×D43—21no—
358C4⋊C4×D43—21no—
359C4⋊C4×D43C2311yescharacteristic
360C4⋊C4×D43C2311yescharacteristic
361C4⋊C4×D43C2311yescharacteristic
362C4⋊C4×D43C2311yescharacteristic
363C4⋊C4×D43C2311yescharacteristic
364C22⋊C4×D43—21no—
365C2×C4×Dic43C2311yescharacteristic
366C42×D43—21no—
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#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
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#13063249C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063247C2311yescharacteristic
404#13063247C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
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(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C4⋊Q8×C43—21no—
436C4⋊Q8×C43C2311yescharacteristic
437C4⋊Q8×C43C2311yescharacteristic
438C4⋊Q8×C43C2311yescharacteristic
439#126×C43—21no—
440#125×C43—21no—
441#125×C43C2311yescharacteristic
442#125×C43C2311yescharacteristic
443#124×C43—21no—
444#124×C43C2311yescharacteristic
445#123×C43—21no—
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×D4×C43C2311yescharacteristic
453#117×C43C2311yescharacteristic
454#117×C43C2311yescharacteristic
455C2×C4⋊C4×C43C2311yescharacteristic
456#107×C43C2311yescharacteristic
457#107×C43C2311yescharacteristic
458#106×C43C2311yescharacteristic
459#106×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#102×C43C2311yescharacteristic
471#102×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—21no—
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43C2411yescharacteristic
485C22×C4×C43—21no—
486C22×C4×C43—21no—
487C22×C4×C43C2411yescharacteristic
488C2×C22⋊D43—21no—
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43C2×D411yescharacteristic
495C2×C22⋊D43C2×D411yescharacteristic
496C22×Dic43—21no—
497C22×Dic43—21no—
498C22×Dic43C2×D411yescharacteristic
499C22×Dic43C2×D411yescharacteristic
500#10621902—22no—
501#10621902—22no—
502#10621902—82no—
503#10621900—82no—
504D4×D43—22no—
505D4×D43—22no—
506#10621898—22no—
507#10621898—22no—
508C2×D172—21no—
509C2×D172—21no—
510C2×D172—21no—
511C2×D172—21no—
512C2×D172—21no—
513C2×D172C2×D411yescharacteristic
514C2×D172C2411yescharacteristic
515C2×D172C2411yescharacteristic
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—82no—
527C2×C4×D43C2×D411yescharacteristic
528C2×C4×D43C2×D411yescharacteristic
529C2×C4×D43C2×D411yescharacteristic
530C2×C4×D43C2×D411yescharacteristic
531C2×C4×D43C2411yescharacteristic
532C2×C4×D43C2411yescharacteristic
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86—21no—
537C2×Dic86—21no—
538C2×Dic86C2×D411yescharacteristic
539C2×C8×C43C2411yescharacteristic
540C2×C8×C43C2411yescharacteristic
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43C2×D411yescharacteristic
554C4⋊C4×C43C2×D411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43C2×D411yescharacteristic
568C22⋊C4×C43C2×D411yescharacteristic
569C42×C43—21no—
570C42×C43—21no—
571C42×C43C2411yescharacteristic
572C42×C43C2411yescharacteristic
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576(C2×D43)⋊C4—21no—
577(C2×D43)⋊C4—21no—
578(C2×D43)⋊C4—21no—
579(C2×D43)⋊C4—21no—
580(C2×D43)⋊C4—21no—
581(C2×D43)⋊C4—21no—
582(C2×D43)⋊C4—21no—
583(C2×D43)⋊C4—21no—
584(C2×D43)⋊C4—21no—
585(C2×D43)⋊C4—21no—
586(C2×D43)⋊C4—21no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4C2×D411yescharacteristic
593(C2×D43)⋊C4C2×D411yescharacteristic
594(C2×D43)⋊C4C2×D411yescharacteristic
595(C2×D43)⋊C4C2×D411yescharacteristic
596C4⋊Dic43—21no—
597C4⋊Dic43—21no—
598C4⋊Dic43—21no—
599C4⋊Dic43—21no—
600C4⋊Dic43—21no—
601C4⋊Dic43—21no—
602C4⋊Dic43—21no—
603C4⋊Dic43—21no—
604C4⋊Dic43—21no—
605C4⋊Dic43—21no—
606C4⋊Dic43—21no—
607C4⋊Dic43C2411yescharacteristic
608C4⋊Dic43C2411yescharacteristic
609C4⋊Dic43C2411yescharacteristic
610C4⋊Dic43C2411yescharacteristic
611C4⋊Dic43C2411yescharacteristic
612C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4C2×D411yescharacteristic
636Dic43⋊C4C2×D411yescharacteristic
637Dic43⋊C4C2×D411yescharacteristic
638Dic43⋊C4C2×D411yescharacteristic
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×C43—21no—
663C23×C43C22×D411yescharacteristic
664C22×D43—21no—
665C22×D43—21no—
666C22×D43—42no—
667C22×D43—81no—
668C22×D43—81no—
669C22×D43C22×D411yescharacteristic
670C22×D43C22×D411yescharacteristic
671Q8×C43—21no—
672Q8×C43—21no—
673Q8×C43—81no—
674Q8×C43—81no—
675Q8×C43—81no—
676D4×C43—21no—
677D4×C43—21no—
678D4×C43—81no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—81no—
689C2×C4×C43—81no—
690C2×C4×C43C22×D411yescharacteristic
691C2×C4×C43C22×D411yescharacteristic
692C2×C4×C43C22×D411yescharacteristic
693C2×C4×C43C22×D411yescharacteristic
694C2×C4×C43C22×D411yescharacteristic
695C2×C4×C43C2511yescharacteristic
696C22⋊D43—22no—
697C22⋊D43—22no—
698C22⋊D43—42no—
699C22⋊D43—81no—
700C22⋊D43—81no—
701C22⋊D43—81no—
702C22⋊D43—81no—
703C22⋊D43—81no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—41no—
711C2×Dic43—41no—
712C2×Dic43—42no—
713C2×Dic43—81no—
714C2×Dic43C22×D411yescharacteristic
715C2×Dic43C22×D411yescharacteristic
716C2×Dic43C22×D411yescharacteristic
717C2×Dic43C22×D411yescharacteristic
718C2×Dic43C22×D411yescharacteristic
719C2×Dic43C22×D411yescharacteristic
720D172—22no—
721D172—21no—
722D172—21no—
723D172—21no—
724D172—21no—
725D172—42no—
726D172—81no—
727D172—81no—
728D172—81no—
729D172—81no—
730C4×D43—21no—
731C4×D43—21no—
732C4×D43—41no—
733C4×D43—41no—
734C4×D43—41no—
735C4×D43—41no—
736C4×D43—42no—
737C4×D43—42no—
738C4×D43—42no—
739C4×D43—81no—
740C4×D43—81no—
741C4×D43—81no—
742C4×D43—81no—
743C4×D43—81no—
744C4×D43—81no—
745C4×D43—81no—
746C4×D432−1+412yes—
747C4×D432−1+412yes—
748Dic86—22no—
749Dic86—81no—
750Dic86—81no—
751Dic86—81no—
752Dic86—81no—
753Dic86—81no—
754C8×C43—21no—
755C8×C43—21no—
756C8×C43—21no—
757C8×C43—21no—
758C43⋊C8—21no—
759C43⋊C8—21no—
760C43⋊C8—21no—
761C43⋊C8—21no—
762#60890—431nomaximal, Sylow
763C22×C43—21no—
764C22×C43—21no—
765C22×C43—21no—
766C22×C43—41no—
767C22×C43—41no—
768C22×C43—41no—
769C22×C43C23×D411yescharacteristic
770C2×D43—21no—
771C2×D43—21no—
772C2×D43—21no—
773C2×D43—21no—
774C2×D43—21no—
775C2×D43—41no—
776C2×D43—41no—
777C2×D43—41no—
778C2×D43—41no—
779C2×D43—41no—
780C2×D43—41no—
781C2×D43—84no—
782C2×D43#53612yes—
783C4×C43—21no—
784C4×C43—21no—
785C4×C43—21no—
786C4×C43—21no—
787C4×C43—21no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43—41no—
792C4×C43—41no—
793C4×C43—41no—
794C4×C43—41no—
795C4×C43C2×2−1+411yescharacteristic
796C4×C43C2×2−1+411yescharacteristic
797Dic43—21no—
798Dic43—21no—
799Dic43—21no—
800Dic43—21no—
801Dic43—21no—
802Dic43—41no—
803Dic43—41no—
804Dic43—41no—
805Dic43—41no—
806Dic43—41no—
807Dic43—41no—
808Dic43#53612yes—
809#3504—431no—
810#3460—431no—
811#3244—431no—
812#3244D4311yescharacteristic, complemented
813#3243—431no—
814#3243—431no—
815#3241—431no—
816#3241—431no—
817#3241—431no—
818#3241—431no—
819#3240—431no—
820#3240—431no—
821#3234—431no—
822#3234—431no—
823#3232—431no—
824#3232—431no—
825#3228—431no—
826#3228—431no—
827#3164—431no—
828#3163—431no—
829#3136—431no—
830#3136—431no—
831#3099—431no—
832#3098—431no—
833#3096—431no—
834#3096—431no—
835#3080—431no—
836#3077—431no—
837#3076—431no—
838C2×#478—431no—
839#2925—431no—
840C2×C43—41no—
841C2×C43—81no—
842C2×C43C2×#53611yescharacteristic
843C2×C43#358411yescharacteristic
844C2×C43#358511yescharacteristic
845D43—22no—
846D43—41no—
847D43—81no—
848D43—81no—
849#557—861no—
850#557—861no—
851#554—861no—
852#554—861no—
853#554—861no—
854#554—861no—
855#554—861no—
856#554—861no—
857#544—431no—
858#544—431no—
859#544—431no—
860#544—431no—
861#544—431no—
862#544—431no—
863#544C2×D4311yescharacteristic, complemented
864#542—431no—
865#542—861no—
866#542C2×D4311yescharacteristic
867#540—431no—
868#540—431no—
869#540—861no—
870#538—861no—
871#538—861no—
872#537—431no—
873#535—431no—
874#535—431no—
875#533—431no—
876#533—431no—
877#533—431no—
878#532—431no—
879#532—431no—
880#532—861no—
881#529—431no—
882#529—431no—
883#529—861no—
884C2×#125—431no—
885C2×#125—431no—
886C2×#125—431no—
887#525—861no—
888#525—861no—
889#520—431no—
890#520—431no—
891C4×#41—431no—
892C4×#41—431no—
893C2×C4×D4—431no—
894#501—431no—
895#501—431no—
896#501—431no—
897#501—431no—
898#501—431no—
899#501—431no—
900#501—431no—
901#501C2×D4311yescharacteristic, complemented
902#500—431no—
903#500—431no—
904#499—431no—
905#499—431no—
906#499—431no—
907#499—431no—
908#498—431no—
909#498C2×D4311yescharacteristic, complemented
910#490—431no—
911#490—431no—
912#490—431no—
913#490—431no—
914#489—431no—
915#489—431no—
916#489—431no—
917#489C2×D4311yescharacteristic
918#488—431no—
919#488—431no—
920#488—431no—
921#488C2×D4311yescharacteristic
922#486—431no—
923#486—431no—
924#486—431no—
925#486—431no—
926#485—431no—
927#485—431no—
928#485—431no—
929#485C2×D4311yescharacteristic, complemented
930#484—431no—
931#484—431no—
932#483—431no—
933#483C2×D4311yescharacteristic, complemented
934#482—431no—
935#482—431no—
936#482—431no—
937#482—431no—
938#482—431no—
939#482—431no—
940#482—431no—
941#482—431no—
942#482—431no—
943#482—431no—
944#482—431no—
945#482C2×D4311yescharacteristic
946#481—431no—
947#481—431no—
948#481—431no—
949#481—431no—
950#481—431no—
951#481C2×D4311yescharacteristic
952#480—431no—
953#480—431no—
954#480—431no—
955#480—431no—
956#480—431no—
957#480—431no—
958#479—431no—
959#479—431no—
960#479—431no—
961#479—431no—
962#479—431no—
963#479C2×D4311yescharacteristic, complemented
964#478—431no—
965#478—431no—
966#478—431no—
967#478—431no—
968#478—431no—
969#478—431no—
970#478—431no—
971#478—431no—
972#478—431no—
973#478—431no—
974#478—431no—
975#478—431no—
976#478—431no—
977#478—431no—
978#478—431no—
979#478—431no—
980#478—431no—
981#478C2×D4311yescharacteristic
982#477—431no—
983#476—431no—
984#476—431no—
985#476C2×D4311yescharacteristic
986#475C2×D4311yescharacteristic, complemented
987#474—431no—
988#474—431no—
989#474—431no—
990#433—431no—
991#433—431no—
992#433—431no—
993#433C2×D4311yescharacteristic, complemented
994#432—431no—
995#432—431no—
996#431—431no—
997#431—431no—
998#428—431no—
999#428—431no—
1000#428—431no—
1001#428—431no—
1002#427—431no—
1003#427—431no—
1004C2×#107—431no—
1005C2×#106—431no—
1006#423—431no—
1007C2×C4⋊C8—431no—
1008#418—431no—
1009#418—431no—
1010#417—431no—
1011#417—431no—
1012#416—431no—
1013#416—431no—
1014C2×#102—431no—
1015C2×#102—431no—
1016#408—431no—
1017#408—431no—
1018#405—431no—
1019#405—431no—
1020C43#6089011yescharacteristic, complemented, Sylow
1021C2×#41—431no—
1022C2×#41—431no—
1023C2×#41—861no—
1024C2×#41—861no—
1025C22×D4—431no—
1026C23×C4—861no—
1027C2×M16—431no—
1028C2×M16—431no—
1029C22×C8—431no—
1030C22×C8—431no—
1031C4⋊Q8—21no—
1032C4⋊Q8—431no—
1033C4⋊Q8—431no—
1034C4⋊Q8—431no—
1035C4⋊Q8—431no—
1036C4⋊Q8—431no—
1037C4⋊Q8—861no—
1038C4⋊Q8—861no—
1039C4⋊Q8—861no—
1040C4⋊Q8—861no—
1041C4⋊Q8—861no—
1042C4⋊Q8—861no—
1043C4⋊Q8C22×D4311yescharacteristic
1044C4⋊Q8C22×D4311yescharacteristic
1045C4⋊Q8C22×D4311yescharacteristic
1046#127—431no—
1047#127—431no—
1048#127—861no—
1049#126—21no—
1050#126—861no—
1051#126—861no—
1052#126—861no—
1053#125—21no—
1054#125—431no—
1055#125—431no—
1056#125—431no—
1057#125—431no—
1058#125—431no—
1059#125—431no—
1060#125—431no—
1061#125—431no—
1062#125—431no—
1063#125—431no—
1064#125—861no—
1065#125—861no—
1066#125—861no—
1067#125—861no—
1068#125—861no—
1069#125—861no—
1070#125—861no—
1071#125—861no—
1072#125—861no—
1073#125—861no—
1074#125—861no—
1075#125—861no—
1076#125C22×D4311yescharacteristic
1077#125C22×D4311yescharacteristic
1078#124—21no—
1079#124—431no—
1080#124—861no—
1081#124—861no—
1082#124—861no—
1083#124—861no—
1084#124C22×D4311yescharacteristic
1085#123—21no—
1086#123—861no—
1087#123—861no—
1088#123—861no—
1089#123—861no—
1090#123—861no—
1091#123—861no—
1092#123—861no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—21no—
1096C22⋊Q8—431no—
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⋊Q8—861no—
1109C22⋊Q8—861no—
1110C22⋊Q8—861no—
1111C22⋊Q8—861no—
1112C22⋊Q8—861no—
1113C22⋊Q8—861no—
1114C22⋊Q8—861no—
1115C22⋊Q8—861no—
1116C22⋊Q8—861no—
1117C22⋊Q8C22×D4311yescharacteristic
1118#121—431no—
1119#121—431no—
1120#121—431no—
1121#121—431no—
1122#121—431no—
1123#121—861no—
1124#121—861no—
1125#121—861no—
1126#121—861no—
1127#121—861no—
1128#121—861no—
1129#121—861no—
1130#121—861no—
1131#121—861no—
1132#121—861no—
1133#121—861no—
1134#121C22×D4311yescharacteristic
1135#120—861no—
1136#120—861no—
1137#120—861no—
1138#120—861no—
1139C4×Q8—431no—
1140C4×Q8—431no—
1141C4×Q8—431no—
1142C4×Q8—861no—
1143C4×Q8—861no—
1144C4×Q8—861no—
1145C4×Q8—861no—
1146C4×Q8—861no—
1147C4×Q8—861no—
1148C4×Q8—861no—
1149C4×Q8—861no—
1150C4×Q8C22×D4311yescharacteristic
1151C4×D4—431no—
1152C4×D4—431no—
1153C4×D4—431no—
1154C4×D4—431no—
1155C4×D4—431no—
1156C4×D4—431no—
1157C4×D4—431no—
1158C4×D4—431no—
1159C4×D4—431no—
1160C4×D4—431no—
1161C4×D4—431no—
1162C4×D4—861no—
1163C4×D4—861no—
1164C4×D4—861no—
1165C4×D4—861no—
1166C4×D4—861no—
1167C4×D4—861no—
1168C4×D4—861no—
1169C4×D4—861no—
1170C4×D4—861no—
1171C4×D4—861no—
1172C4×D4—861no—
1173C4×D4—861no—
1174C4×D4—861no—
1175C4×D4—861no—
1176C4×D4C22×D4311yescharacteristic
1177#117—431no—
1178#117—431no—
1179#117—431no—
1180#117—431no—
1181#117—431no—
1182#117—431no—
1183#117—431no—
1184#117—431no—
1185#117—861no—
1186#117—861no—
1187#117—861no—
1188#117C22×D4311yescharacteristic
1189#117C22×D4311yescharacteristic
1190C2×C4⋊C4—431no—
1191C2×C4⋊C4—431no—
1192C2×C4⋊C4—431no—
1193C2×C4⋊C4—431no—
1194C2×C4⋊C4—431no—
1195C2×C4⋊C4—431no—
1196C2×C4⋊C4—861no—
1197C2×C4⋊C4—861no—
1198C2×C4⋊C4—861no—
1199C2×C4⋊C4—861no—
1200C2×C4⋊C4—861no—
1201C2×C4⋊C4—861no—
1202C2×C4⋊C4C22×D4311yescharacteristic
1203C2×C22⋊C4—861no—
1204C2×C42—431no—
1205C2×C42—431no—
1206C2×C42—431no—
1207C2×C42—861no—
1208#107—431no—
1209#107—431no—
1210#107—431no—
1211#107—431no—
1212#107—431no—
1213#107—431no—
1214#107—431no—
1215#107—431no—
1216#107—431no—
1217#107—431no—
1218#107—431no—
1219#107—431no—
1220#107—431no—
1221#107—431no—
1222#107C22×D4311yescharacteristic
1223#107C22×D4311yescharacteristic
1224#106—431no—
1225#106—431no—
1226#106—431no—
1227#106—431no—
1228#106—431no—
1229#106—431no—
1230#106—431no—
1231#106—431no—
1232#106—431no—
1233#106—431no—
1234#106C22×D4311yescharacteristic
1235#106C22×D4311yescharacteristic
1236#106C22×D4311yescharacteristic
1237#106C22×D4311yescharacteristic
1238#106C22×D4311yescharacteristic
1239#106C22×D4311yescharacteristic
1240C4⋊C8—431no—
1241C4⋊C8—431no—
1242C4⋊C8—431no—
1243C4⋊C8—431no—
1244C4⋊C8—431no—
1245C4⋊C8—431no—
1246C4⋊C8C22×D4311yescharacteristic
1247C4⋊C8C22×D4311yescharacteristic
1248#103—431no—
1249#103—431no—
1250#103—431no—
1251#103—431no—
1252#103C22×D4311yescharacteristic
1253#103C22×D4311yescharacteristic
1254#103C22×D4311yescharacteristic
1255#103C22×D4311yescharacteristic
1256#102—431no—
1257#102—431no—
1258#102—431no—
1259#102—431no—
1260#102—431no—
1261#102—431no—
1262#102—431no—
1263#102—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#102C22×D4311yescharacteristic
1277#102C22×D4311yescharacteristic
1278#102C22×D4311yescharacteristic
1279#102C22×D4311yescharacteristic
1280C22⋊C8—431no—
1281C22⋊C8—431no—
1282C22⋊C8—431no—
1283C22⋊C8—431no—
1284C22⋊C8—431no—
1285C22⋊C8—431no—
1286C22⋊C8C22×D4311yescharacteristic
1287C22⋊C8C22×D4311yescharacteristic
1288#97—431no—
1289#97—431no—
1290#97—431no—
1291#97C22×D4311yescharacteristic
1292C4×C8—431no—
1293C4×C8—431no—
1294C4×C8—431no—
1295C4×C8C22×D4311yescharacteristic
1296C24—861no—
1297#41—862no—
1298#41—862no—
1299#41—862no—
1300#41—862no—
1301#41—3442no—
1302#41—3442no—
1303C2×Q8—21no—
1304C2×Q8—21no—
1305C2×Q8—21no—
1306C2×Q8—431no—
1307C2×Q8—861no—
1308C2×Q8—861no—
1309C2×Q8—861no—
1310C2×Q8—861no—
1311C2×Q8—861no—
1312C2×Q8C23×D4311yescharacteristic
1313C2×D4—21no—
1314C2×D4—431no—
1315C2×D4—431no—
1316C2×D4—431no—
1317C2×D4—431no—
1318C2×D4—431no—
1319C2×D4—861no—
1320C2×D4—861no—
1321C2×D4—861no—
1322C2×D4—862no—
1323C2×D4—862no—
1324C2×D4—861no—
1325C2×D4—861no—
1326C2×D4—861no—
1327C2×D4—861no—
1328C2×D4—861no—
1329C2×D4—861no—
1330C2×D4—861no—
1331C2×D4—861no—
1332C2×D4C23×D4311yescharacteristic
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—431no—
1336C22×C4—431no—
1337C22×C4—431no—
1338C22×C4—431no—
1339C22×C4—431no—
1340C22×C4—431no—
1341C22×C4—431no—
1342C22×C4—431no—
1343C22×C4—861no—
1344C22×C4—861no—
1345C22×C4—861no—
1346C22×C4—861no—
1347C22×C4—861no—
1348C22×C4—861no—
1349C22×C4—861no—
1350C22×C4—861no—
1351C22×C4—861no—
1352C22×C4—861no—
1353C22×C4—861no—
1354C22×C4—861no—
1355C22×C4—3442no—
1356C22×C4C23×D4311yescharacteristic
1357M16—862no—
1358M16—862no—
1359C2×C8—431no—
1360C2×C8—431no—
1361C2×C8—431no—
1362C2×C8—431no—
1363C2×C8—862no—
1364C2×C8—862no—
1365C2×C8C23×D4311yescharacteristic
1366C2×C8C23×D4311yescharacteristic
1367C2×C8C23×D4311yescharacteristic
1368C2×C8C23×D4311yescharacteristic
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—431no—
1380C4⋊C4—431no—
1381C4⋊C4—431no—
1382C4⋊C4—431no—
1383C4⋊C4—431no—
1384C4⋊C4—431no—
1385C4⋊C4—431no—
1386C4⋊C4—431no—
1387C4⋊C4—431no—
1388C4⋊C4—431no—
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⋊C4—861no—
1400C4⋊C4—861no—
1401C4⋊C4—861no—
1402C4⋊C4—861no—
1403C4⋊C4—861no—
1404C4⋊C4—861no—
1405C4⋊C4—861no—
1406C4⋊C4—861no—
1407C4⋊C4—861no—
1408C4⋊C4—861no—
1409C4⋊C4—861no—
1410C4⋊C4—861no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4D4×D4311yescharacteristic
1423C4⋊C4D4×D4311yescharacteristic
1424C4⋊C4C23×D4311yescharacteristic
1425C4⋊C4C23×D4311yescharacteristic
1426C4⋊C4C23×D4311yescharacteristic
1427C4⋊C4C23×D4311yescharacteristic
1428C4⋊C4C23×D4311yescharacteristic
1429C4⋊C4C23×D4311yescharacteristic
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—431no—
1437C22⋊C4—431no—
1438C22⋊C4—431no—
1439C22⋊C4—431no—
1440C22⋊C4—861no—
1441C22⋊C4—861no—
1442C22⋊C4—861no—
1443C22⋊C4—861no—
1444C22⋊C4—861no—
1445C22⋊C4—861no—
1446C22⋊C4—861no—
1447C22⋊C4—861no—
1448C22⋊C4—861no—
1449C22⋊C4—861no—
1450C22⋊C4—861no—
1451C22⋊C4—861no—
1452C22⋊C4—861no—
1453C22⋊C4—861no—
1454C22⋊C4—861no—
1455C22⋊C4—861no—
1456C22⋊C4—861no—
1457C22⋊C4—861no—
1458C22⋊C4—861no—
1459C22⋊C4D4×D4311yescharacteristic
1460C22⋊C4D4×D4311yescharacteristic
1461C42—21no—
1462C42—21no—
1463C42—431no—
1464C42—431no—
1465C42—431no—
1466C42—431no—
1467C42—431no—
1468C42—431no—
1469C42—431no—
1470C42—431no—
1471C42—861no—
1472C42—861no—
1473C42—861no—
1474C42—861no—
1475C42—861no—
1476C42—861no—
1477C42—861no—
1478C42C23×D4311yescharacteristic
1479C42C23×D4311yescharacteristic
1480C23—21no—
1481C23—431no—
1482C23—431no—
1483C23—861no—
1484C23—861no—
1485C23—3441no—
1486C23—3441no—
1487C23—1722no—
1488C23C2×D4×D4311yescharacteristic
1489Q8—21no—
1490Q8—21no—
1491Q8—81no—
1492Q8—81no—
1493Q8—81no—
1494Q8—862no—
1495Q8—3441no—
1496Q8—3441no—
1497Q8—3441no—
1498Q8—3441no—
1499Q8—3441no—
1500D4—21no—
1501D4—21no—
1502D4—81no—
1503D4—862no—
1504D4—862no—
1505D4—862no—
1506D4—861no—
1507D4—861no—
1508D4—861no—
1509D4—861no—
1510D4—3441no—
1511D4—3441no—
1512D4—3441no—
1513D4—3441no—
1514D4—3441no—
1515D4—3441no—
1516D4—3441no—
1517D4—3441no—
1518D4—3441no—
1519D4—1722no—
1520D4—1722no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—81no—
1531C2×C4—81no—
1532C2×C4—431no—
1533C2×C4—432no—
1534C2×C4—432no—
1535C2×C4—431no—
1536C2×C4—431no—
1537C2×C4—431no—
1538C2×C4—431no—
1539C2×C4—431no—
1540C2×C4—861no—
1541C2×C4—861no—
1542C2×C4—861no—
1543C2×C4—861no—
1544C2×C4—861no—
1545C2×C4—861no—
1546C2×C4—861no—
1547C2×C4—861no—
1548C2×C4—3441no—
1549C2×C4—3441no—
1550C2×C4—3441no—
1551C2×C4—3441no—
1552C2×C4—3441no—
1553C2×C4—3441no—
1554C2×C4—3441no—
1555C2×C4—3441no—
1556C2×C4—1721no—
1557C2×C4—1721no—
1558C2×C4—1721no—
1559C2×C4—1721no—
1560C2×C4—1722no—
1561C2×C4—1722no—
1562C2×C4—1722no—
1563C2×C4—1721no—
1564C2×C4—1721no—
1565C2×C4—1722no—
1566C2×C4C2×D4×D4311yescharacteristic
1567C2×C4C2×D4×D4311yescharacteristic
1568C2×C4C2×D4×D4311yescharacteristic
1569C2×C4C2×D4×D4311yescharacteristic
1570C2×C4C2×D4×D4311yescharacteristic
1571C2×C4C24×D4311yescharacteristic
1572C8—21no—
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—861no—
1577C8—861no—
1578C8—861no—
1579C8—861no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—432no—
1587C22—861no—
1588C22—861no—
1589C22—861no—
1590C22—861no—
1591C22—861no—
1592C22—3444no—
1593C22—1721no—
1594C22—1721no—
1595C22—1721no—
1596C22—1721no—
1597C22—1721no—
1598C22—1721no—
1599C22C22×D4×D4311yescharacteristic
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—432no—
1613C4—861no—
1614C4—861no—
1615C4—861no—
1616C4—861no—
1617C4—861no—
1618C4—1721no—
1619C4—1721no—
1620C4—1721no—
1621C4—1721no—
1622C4—1721no—
1623C4—1721no—
1624C42−1+4×D4311yescharacteristic
1625C42−1+4×D4311yescharacteristic
1626C2—41no—
1627C2—81no—
1628C2—862no—
1629C2—3441no—
1630C2—3441no—
1631C2—1721no—
1632C2#536×D4311yescharacteristic
1633C2#1914936711yescharacteristic
1634C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3244C2
socleC22×C43C23×D4
prime radical#19148015C2
hypercenter#3244D43
hypocenterC43#60890
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3244

Complements

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

NH ≅ G/Ntype
1. #19148418C2semidirect
3. #19145898C2semidirect
4. #19145885C2semidirect
5. #19145872C2semidirect
6. #19145853C2semidirect
7. #19145850C2semidirect
8. #19145848C2semidirect
9. #19145847C2semidirect
10. #19145839C2semidirect
11. #19145832C2semidirect
12. #19145786C2semidirect
13. #19145784C2semidirect
14. #19145766C2semidirect
15. #19145758C2semidirect
16. #19145732C2semidirect
17. #19145729C2semidirect
18. #19145130C2semidirect
19. #19145120C2semidirect
20. #19144948C2semidirect
21. #19144946C2semidirect
22. #19144579C2semidirect
23. #19144576C2semidirect
24. #19144552C2semidirect
25. #19144548C2semidirect
26. #19144414C2semidirect
27. #19144393C2semidirect
28. #19144378C2semidirect
29. #478×D43C2semidirect
30. #19143258C2semidirect
31. C43×#3244C2semidirect
41. #14583529C22semidirect
42. #14583527C22semidirect
45. #14583526C22semidirect
57. #14583454C22semidirect
58. #14583452C22semidirect
65. C2×#13063316C22semidirect
67. #125×D43C22semidirect
75. #14583308C22semidirect
76. #14583307C22semidirect
77. #14583306C22semidirect
78. #14583306C22semidirect
79. #14583306C22semidirect
80. #14583305C22semidirect
81. #14583305C22semidirect
82. #14583303C22semidirect
83. #14583302C22semidirect
84. #14583301C22semidirect
85. #14583299C22semidirect
86. #14583299C22semidirect
87. #14583298C22semidirect
88. #14583296C22semidirect
103. #14583239C22semidirect
104. #14583239C22semidirect
105. #14583237C22semidirect
106. #14583233C22semidirect
107. #14583232C22semidirect
108. #14583228C22semidirect
111. #14583225C22semidirect
112. #14583225C22semidirect
114. #14583224C22semidirect
116. #14583223C22semidirect
121. #14583219C22semidirect
123. #14583217C22semidirect
126. #14583214C22semidirect
127. #14583213C22semidirect
131. #14583208C22semidirect
132. #14583206C22semidirect
133. #14583204C22semidirect
134. #14583204C22semidirect
135. #14583204C22semidirect
137. #14583202C22semidirect
140. #14583200C22semidirect
145. #14583198C22semidirect
146. #14583198C22semidirect
147. #14583198C22semidirect
152. #14583196C22semidirect
153. #14583194C22semidirect
154. #14583190C22semidirect
158. #14583176C22semidirect
159. #14582960C22semidirect
160. #14582959C22semidirect
161. #14582959C22semidirect
162. #14582954C22semidirect
163. #14582953C22semidirect
164. #14582950C22semidirect
165. #14582949C22semidirect
188. C43×#544C22semidirect
190. C43×#501C22semidirect
191. C43×#498C22semidirect
194. C43×#485C22semidirect
195. C43×#483C22semidirect
198. C43×#479C22semidirect
201. C43×#475C22semidirect
202. C43×#433C22semidirect
812. #3244D43semidirect
863. #544C2×D43semidirect
901. #501C2×D43semidirect
909. #498C2×D43semidirect
929. #485C2×D43semidirect
933. #483C2×D43semidirect
963. #479C2×D43semidirect
986. #475C2×D43semidirect
993. #433C2×D43semidirect
1020. C43#60890semidirect

Maximal subgroups

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

subgroupindex
#191484182
#191480152
#191458982
#191458852
#191458722
#191458532
#191458502
#191458482
#191458472
#191458392
#191458322
#191457862
#191457842
#191457662
#191457582
#191457322
#191457292
#191451302
#191451202
#191449482
#191449462
#191445792
#191445762
#191445522
#191445482
#191444142
#191443932
#191443782
#478×D432
#191432582
C43×#32442
#6089043