Finite Group Databasebeta

← #25969291

Subgroups — #25969291

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#19148416C211yesmaximal, characteristic, complemented
2#19148016C211yesmaximal, characteristic
3#19145899C211yesmaximal, characteristic, complemented
4#19145888C211yesmaximal, characteristic, complemented
5#19145884C211yesmaximal, characteristic, complemented
6#19145873C211yesmaximal, characteristic, complemented
7#19145854C211yesmaximal, characteristic, complemented
8#19145849C211yesmaximal, characteristic, complemented
9#19145849C211yesmaximal, characteristic, complemented
10#19145846C211yesmaximal, characteristic, complemented
11#19145840C211yesmaximal, characteristic, complemented
12#19145787C211yesmaximal, characteristic, complemented
13#19145783C211yesmaximal, characteristic, complemented
14#19145767C211yesmaximal, characteristic, complemented
15#19145759C211yesmaximal, characteristic, complemented
16#19145731C211yesmaximal, characteristic, complemented
17#19145730C211yesmaximal, characteristic, complemented
18#19145130C211yesmaximal, characteristic, complemented
19#19145122C211yesmaximal, characteristic, complemented
20#19144946C211yesmaximal, characteristic, complemented
21#19144946C211yesmaximal, characteristic, complemented
22#19144581C211yesmaximal, characteristic, complemented
23#19144576C211yesmaximal, characteristic, complemented
24#19144550C211yesmaximal, characteristic, complemented
25#19144548C211yesmaximal, characteristic, complemented
26#19144414C211yesmaximal, characteristic, complemented
27#19144390C211yesmaximal, characteristic, complemented
28#19144382C211yesmaximal, characteristic, complemented
29#478×D43C211yesmaximal, characteristic, complemented
30#19143262C211yesmaximal, characteristic, complemented
31C43×#3240C211yesmaximal, characteristic, complemented
32#14583627—21no—
33#14583627—21no—
34#14583609—21no—
35#14583609—21no—
36#14583603—21no—
37#14583603—21no—
38#14583603—21no—
39#14583603—21no—
40#14583529C2211yescharacteristic
41#14583527C2211yescharacteristic, complemented
42#14583527C2211yescharacteristic, complemented
43#14583526C2211yescharacteristic
44#14583526C2211yescharacteristic
45#14583526C2211yescharacteristic, complemented
46#14583526C2211yescharacteristic, complemented
47#14583522C2211yescharacteristic
48#14583518C2211yescharacteristic
49#14583515—21no—
50#14583505C2211yescharacteristic
51#14583502C2211yescharacteristic
52#14583501—21no—
53#14583488—21no—
54#14583485—21no—
55#14583479C2211yescharacteristic
56#14583467C2211yescharacteristic
57#14583465C2211yescharacteristic
58#14583455C2211yescharacteristic
59#14583455C2211yescharacteristic, complemented
60#14583449C2211yescharacteristic
61#14583446—21no—
62#14583446C2211yescharacteristic
63#14583436C2211yescharacteristic
64#14583427—21no—
65C2×#13063317C2211yescharacteristic, complemented
66#125×D43C2211yescharacteristic
67#125×D43C2211yescharacteristic, complemented
68#14583411—21no—
69#14583408—21no—
70#14583379C2211yescharacteristic
71#14583379C2211yescharacteristic
72C4×#10621902C2211yescharacteristic
73C4×#10621898C2211yescharacteristic
74C4×D4×D43C2211yescharacteristic
75#14583308C2211yescharacteristic, complemented
76#14583308C2211yescharacteristic, complemented
77#14583307C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583306C2211yescharacteristic, complemented
81#14583303C2211yescharacteristic, complemented
82#14583302C2211yescharacteristic, complemented
83#14583300C2211yescharacteristic, complemented
84#14583299C2211yescharacteristic, complemented
85#14583298C2211yescharacteristic, complemented
86#14583298C2211yescharacteristic, complemented
87#14583296C2211yescharacteristic, complemented
88#14583295C2211yescharacteristic, complemented
89#14583264C2211yescharacteristic
90#14583264C2211yescharacteristic
91#14583262C2211yescharacteristic
92#14583262C2211yescharacteristic
93#14583260C2211yescharacteristic
94#14583260C2211yescharacteristic
95#14583255C2211yescharacteristic
96#14583255C2211yescharacteristic
97#14583253C2211yescharacteristic
98#14583253C2211yescharacteristic
99#14583247C2211yescharacteristic
100#14583247C2211yescharacteristic
101#14583244C2211yescharacteristic
102#14583244C2211yescharacteristic
103#14583239C2211yescharacteristic, complemented
104#14583238C2211yescharacteristic, complemented
105#14583233C2211yescharacteristic, complemented
106#14583232C2211yescharacteristic, complemented
107#14583228C2211yescharacteristic, complemented
108#14583227C2211yescharacteristic, complemented
109#14583226C2211yescharacteristic
110#14583226C2211yescharacteristic, complemented
111#14583225C2211yescharacteristic
112#14583225C2211yescharacteristic, complemented
113#14583223C2211yescharacteristic
114#14583223C2211yescharacteristic
115#14583223C2211yescharacteristic, complemented
116#14583223C2211yescharacteristic, complemented
117#14583222C2211yescharacteristic
118#14583221C2211yescharacteristic
119#14583219C2211yescharacteristic
120#14583219C2211yescharacteristic, complemented
121#14583218C2211yescharacteristic
122#14583218C2211yescharacteristic, complemented
123#14583216C2211yescharacteristic
124#14583215C2211yescharacteristic
125#14583214C2211yescharacteristic
126#14583214C2211yescharacteristic, complemented
127#14583213C2211yescharacteristic
128#14583213C2211yescharacteristic, complemented
129#14583211C2211yescharacteristic
130#14583210C2211yescharacteristic
131#14583208C2211yescharacteristic, complemented
132#14583206C2211yescharacteristic, complemented
133#14583206C2211yescharacteristic, complemented
134#14583204C2211yescharacteristic, complemented
135#14583202C2211yescharacteristic
136#14583202C2211yescharacteristic, complemented
137#14583201C2211yescharacteristic
138#14583200C2211yescharacteristic
139#14583200C2211yescharacteristic
140#14583200C2211yescharacteristic, complemented
141#14583200C2211yescharacteristic, complemented
142#14583199C2211yescharacteristic
143#14583199C2211yescharacteristic
144#14583198C2211yescharacteristic
145#14583198C2211yescharacteristic, complemented
146#14583197C2211yescharacteristic
147#14583196C2211yescharacteristic
148#14583196C2211yescharacteristic
149#14583196C2211yescharacteristic, complemented
150#14583196C2211yescharacteristic, complemented
151#14583192C2211yescharacteristic, complemented
152#14583188C2211yescharacteristic
153#14583188C2211yescharacteristic, complemented
154#14583187C2211yescharacteristic
155#14583182C2211yescharacteristic, complemented
156#14583178C2211yescharacteristic
157#14583178C2211yescharacteristic, complemented
158#14583177C2211yescharacteristic
159#14582961C2211yescharacteristic, complemented
160#14582961C2211yescharacteristic, complemented
161#14582957C2211yescharacteristic, complemented
162#14582957C2211yescharacteristic, complemented
163#14582955C2211yescharacteristic, complemented
164#14582952C2211yescharacteristic, complemented
165#14582951C2211yescharacteristic, complemented
166#14582940C2211yescharacteristic
167#14582940C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582938C2211yescharacteristic
170#14582936C2211yescharacteristic
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#14582856C2211yescharacteristic
188C43×#533C2211yescharacteristic, complemented
189C43×#529C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#501C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic
193C43×#489C2211yescharacteristic
194C43×#485C2211yescharacteristic, complemented
195C43×#485C2211yescharacteristic, complemented
196C43×#482C2211yescharacteristic
197C43×#482C2211yescharacteristic
198C43×#479C2211yescharacteristic, complemented
199C43×#479C2211yescharacteristic, complemented
200C43×#478C2211yescharacteristic
201C43×#478C2211yescharacteristic
202C43×#432C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×D4×D43C2311yescharacteristic
208C22×C4×D43—21no—
209C2×#10621872C2311yescharacteristic
210C2×#10621872C2311yescharacteristic
211C2×C8×D43C2311yescharacteristic
212C2×C8×D43C2311yescharacteristic
213#13063325—21no—
214#13063325—21no—
215#13063325C2311yescharacteristic
216#13063324—21no—
217#13063324C2311yescharacteristic
218#13063324C2311yescharacteristic
219#13063324C2311yescharacteristic
220#13063324C2311yescharacteristic
221#13063324C2311yescharacteristic
222#13063323—21no—
223#13063323—21no—
224#13063323—21no—
225#13063323—21no—
226#13063322C2311yescharacteristic
227#13063321—21no—
228#13063321C2311yescharacteristic
229#13063320—21no—
230#13063320—21no—
231#13063318—21no—
232#13063317—21no—
233#13063317—21no—
234#13063317—21no—
235#13063317—21no—
236#13063317C2311yescharacteristic
237#13063317C2311yescharacteristic
238#13063317C2311yescharacteristic
239#13063317C2311yescharacteristic
240#13063316C2311yescharacteristic
241#13063316C2311yescharacteristic
242#13063316C2311yescharacteristic
243#13063316C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063315—21no—
246#13063315—21no—
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063314C2311yescharacteristic
255#13063313—21no—
256#13063311—21no—
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063310—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#13063303—21no—
270#13063303—21no—
271#13063303—21no—
272#13063303—21no—
273#13063303—21no—
274#13063303—21no—
275#13063303—21no—
276#13063303—21no—
277#13063303—21no—
278#13063303—21no—
279#13063302—21no—
280#13063302—21no—
281#13063302—21no—
282#13063302—21no—
283#13063302—21no—
284#13063301—21no—
285#13063301—21no—
286#13063301—21no—
287#13063301—21no—
288#13063301C2311yescharacteristic
289#13063300—21no—
290#13063300—21no—
291#13063300—21no—
292#13063300C2311yescharacteristic
293#13063300C2311yescharacteristic
294#13063299—21no—
295#13063299C2311yescharacteristic
296#13063299C2311yescharacteristic
297#13063298—21no—
298#13063298—21no—
299#13063298—21no—
300#13063298—21no—
301#13063298—21no—
302#13063297—21no—
303#13063296—21no—
304#13063296C2311yescharacteristic
305#13063295—21no—
306#13063295—21no—
307#13063295—21no—
308#13063293—21no—
309Q8×Dic43C2311yescharacteristic
310C4×Dic86—21no—
311C4×Dic86—21no—
312C4×Dic86D411yescharacteristic
313C4×Dic86D411yescharacteristic
314#13063290—21no—
315#13063290—21no—
316#13063290—21no—
317#13063290—21no—
318C4×D172—21no—
319C4×D172—21no—
320C4×D172—21no—
321C4×D172—21no—
322C4×D172—21no—
323C4×D172D411yescharacteristic
324C4×D172D411yescharacteristic
325C4×D172C2311yescharacteristic
326C4×D172C2311yescharacteristic
327D4×Dic43C2311yescharacteristic
328#13063287—21no—
329#13063287C2311yescharacteristic
330#13063287C2311yescharacteristic
331C4×C22⋊D43—21no—
332C4×C22⋊D43—21no—
333C4×C22⋊D43D411yescharacteristic
334C4×C22⋊D43D411yescharacteristic
335C4×C22⋊D43D411yescharacteristic
336C4×C22⋊D43D411yescharacteristic
337(C22⋊D43)⋊C4—21no—
338(C22⋊D43)⋊C4—21no—
339(C22⋊D43)⋊C4—21no—
340(C22⋊D43)⋊C4—21no—
341(C22⋊D43)⋊C4—21no—
342#13063284C2311yescharacteristic
343#13063283—21no—
344#13063283C2311yescharacteristic
345#13063283C2311yescharacteristic
346#13063283C2311yescharacteristic
347#13063283C2311yescharacteristic
348#13063283C2311yescharacteristic
349#13063282—21no—
350#13063282C2311yescharacteristic
351#13063282C2311yescharacteristic
352C2×C4⋊Dic43C2311yescharacteristic
353C2×C4⋊Dic43C2311yescharacteristic
354C2×Dic43⋊C4—21no—
355C2×Dic43⋊C4—21no—
356C4⋊C4×D43—21no—
357C4⋊C4×D43—21no—
358C4⋊C4×D43—21no—
359C4⋊C4×D43—21no—
360C4⋊C4×D43C2311yescharacteristic
361C4⋊C4×D43C2311yescharacteristic
362C4⋊C4×D43C2311yescharacteristic
363C4⋊C4×D43C2311yescharacteristic
364C4⋊C4×D43C2311yescharacteristic
365C22⋊C4×D43—21no—
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#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#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#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431C4×C43⋊C8C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C4⋊Q8×C43C2311yescharacteristic
436C4⋊Q8×C43C2311yescharacteristic
437#126×C43—21no—
438#125×C43C2311yescharacteristic
439#125×C43C2311yescharacteristic
440#125×C43C2311yescharacteristic
441#124×C43C2311yescharacteristic
442#123×C43—21no—
443C22⋊Q8×C43—21no—
444C22⋊Q8×C43—21no—
445C22⋊Q8×C43C2311yescharacteristic
446#121×C43C2311yescharacteristic
447C4×Q8×C43—21no—
448C4×Q8×C43—21no—
449C4×Q8×C43C2311yescharacteristic
450C4×D4×C43—21no—
451C4×D4×C43C2311yescharacteristic
452#117×C43—21no—
453#117×C43C2311yescharacteristic
454#117×C43C2311yescharacteristic
455C2×C42×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#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478C23×D43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43C2411yescharacteristic
482C2×D4×C43—21no—
483C2×D4×C43C2411yescharacteristic
484C22×C4×C43—21no—
485C22×C4×C43C2×D411yescharacteristic
486C22×C4×C43C2×D411yescharacteristic
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×Dic43—21no—
499#10621902—22no—
500#10621902—22no—
501D4×D43—22no—
502D4×D43—22no—
503#10621898—22no—
504#10621898—22no—
505#10621898—82no—
506#10621898—82no—
507C2×D172—21no—
508C2×D172—21no—
509C2×D172—21no—
510C2×D172—21no—
511C2×D172—21no—
512C2×D172C2×D411yescharacteristic
513C2×D172C2411yescharacteristic
514C2×D172C2411yescharacteristic
515C2×C4×D43—21no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—82no—
526C2×C4×D43C2×D411yescharacteristic
527C2×C4×D43C2×D411yescharacteristic
528C2×C4×D43C2×D411yescharacteristic
529C2×C4×D43C2×D411yescharacteristic
530C2×C4×D43C2411yescharacteristic
531C2×C4×D43C2411yescharacteristic
532C2×Dic86—21no—
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×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C42×C43—21no—
567C42×C43—21no—
568C42×C43—21no—
569C42×C43C2×D411yescharacteristic
570C42×C43C2×D411yescharacteristic
571C42×C43C2411yescharacteristic
572C42×C43C2411yescharacteristic
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43C2×D411yescharacteristic
576C22⋊Dic43C2×D411yescharacteristic
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)⋊C4—21no—
593(C2×D43)⋊C4C2×D411yescharacteristic
594(C2×D43)⋊C4C2×D411yescharacteristic
595(C2×D43)⋊C4C2×D411yescharacteristic
596(C2×D43)⋊C4C2×D411yescharacteristic
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⋊Dic43C2×D411yescharacteristic
607C4⋊Dic43C2×D411yescharacteristic
608C4⋊Dic43C2411yescharacteristic
609C4⋊Dic43C2411yescharacteristic
610C4⋊Dic43C2411yescharacteristic
611C4⋊Dic43C2411yescharacteristic
612C4⋊Dic43C2411yescharacteristic
613C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4C2×D411yescharacteristic
639Dic43⋊C4C2×D411yescharacteristic
640Dic43⋊C4C2×D411yescharacteristic
641Dic43⋊C4C2×D411yescharacteristic
642C4×Dic43—21no—
643C4×Dic43—21no—
644C4×Dic43—21no—
645C4×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43—21no—
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—
675D4×C43—21no—
676D4×C43—21no—
677D4×C43—81no—
678C2×C4×C43—21no—
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—41no—
688C2×C4×C43—41no—
689C2×C4×C43—42no—
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—81no—
711C2×Dic43—81no—
712C2×Dic43—81no—
713C2×Dic43C22×D411yescharacteristic
714C2×Dic43C22×D411yescharacteristic
715C2×Dic43C22×D411yescharacteristic
716C2×Dic43C22×D411yescharacteristic
717C2×Dic43C22×D411yescharacteristic
718C2×Dic43C22×D411yescharacteristic
719D172—22no—
720D172—21no—
721D172—21no—
722D172—21no—
723D172—21no—
724D172—42no—
725D172—81no—
726D172—81no—
727D172—81no—
728D172—81no—
729C4×D43—21no—
730C4×D43—21no—
731C4×D43—41no—
732C4×D43—41no—
733C4×D43—41no—
734C4×D43—41no—
735C4×D43—42no—
736C4×D43—42no—
737C4×D43—42no—
738C4×D43—81no—
739C4×D43—81no—
740C4×D43—81no—
741C4×D43—81no—
742C4×D43—81no—
743C4×D43—81no—
744C4×D43—81no—
745C4×D432−1+412yes—
746C4×D432−1+412yes—
747Dic86—22no—
748Dic86—81no—
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#3244—431no—
813#3243—431no—
814#3243—431no—
815#3241—431no—
816#3241—431no—
817#3241—431no—
818#3241—431no—
819#3240—431no—
820#3240D4311yescharacteristic, complemented
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#544—431no—
864#542—431no—
865#542—431no—
866#542—861no—
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#533C2×D4311yescharacteristic, complemented
878#532—431no—
879#532—431no—
880#532—861no—
881#529—431no—
882#529—861no—
883#529C2×D4311yescharacteristic
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#501C2×D4311yescharacteristic, complemented
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#498—431no—
910#490—431no—
911#490—431no—
912#490—431no—
913#490—431no—
914#489—431no—
915#489—431no—
916#489C2×D4311yescharacteristic
917#489C2×D4311yescharacteristic
918#488—431no—
919#488—431no—
920#488—431no—
921#488—431no—
922#486—431no—
923#486—431no—
924#486—431no—
925#486—431no—
926#485—431no—
927#485—431no—
928#485C2×D4311yescharacteristic, complemented
929#485C2×D4311yescharacteristic, complemented
930#484—431no—
931#484—431no—
932#483—431no—
933#483—431no—
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#482C2×D4311yescharacteristic
945#482C2×D4311yescharacteristic
946#481—431no—
947#481—431no—
948#481—431no—
949#481—431no—
950#481—431no—
951#481—431no—
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#479C2×D4311yescharacteristic, complemented
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#478C2×D4311yescharacteristic
981#478C2×D4311yescharacteristic
982#477—431no—
983#476—431no—
984#476—431no—
985#476—431no—
986#475—431no—
987#474—431no—
988#474—431no—
989#474—431no—
990#433—431no—
991#433—431no—
992#433—431no—
993#433—431no—
994#432—431no—
995#432C2×D4311yescharacteristic, complemented
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—431no—
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⋊Q8—861no—
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—431no—
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—861no—
1063#125—861no—
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#125C22×D4311yescharacteristic
1076#125C22×D4311yescharacteristic
1077#125C22×D4311yescharacteristic
1078#124—431no—
1079#124—861no—
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—431no—
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⋊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—21no—
1140C4×Q8—21no—
1141C4×Q8—431no—
1142C4×Q8—431no—
1143C4×Q8—431no—
1144C4×Q8—861no—
1145C4×Q8—861no—
1146C4×Q8—861no—
1147C4×Q8—861no—
1148C4×Q8—861no—
1149C4×Q8—861no—
1150C4×Q8C22×D4311yescharacteristic
1151C4×D4—21no—
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—431no—
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—21no—
1178#117—431no—
1179#117—431no—
1180#117—431no—
1181#117—431no—
1182#117—431no—
1183#117—431no—
1184#117—431no—
1185#117—431no—
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—431no—
1197C2×C4⋊C4—861no—
1198C2×C4⋊C4—861no—
1199C2×C4⋊C4—861no—
1200C2×C4⋊C4—861no—
1201C2×C4⋊C4—861no—
1202C2×C4⋊C4—861no—
1203C2×C22⋊C4—861no—
1204C2×C42—431no—
1205C2×C42—431no—
1206C2×C42—861no—
1207C2×C42C22×D4311yescharacteristic
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#107C22×D4311yescharacteristic
1221#107C22×D4311yescharacteristic
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#106—431no—
1235#106—431no—
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#97C22×D4311yescharacteristic
1291#97C22×D4311yescharacteristic
1292C4×C8—431no—
1293C4×C8—431no—
1294C4×C8—431no—
1295C4×C8—431no—
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—431no—
1306C2×Q8—861no—
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—431no—
1335C22×C4—431no—
1336C22×C4—431no—
1337C22×C4—431no—
1338C22×C4—431no—
1339C22×C4—431no—
1340C22×C4—861no—
1341C22×C4—861no—
1342C22×C4—861no—
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—3442no—
1354C22×C4D4×D4311yescharacteristic
1355C22×C4D4×D4311yescharacteristic
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—431no—
1390C4⋊C4—431no—
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⋊C4—861no—
1423C4⋊C4—861no—
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—21no—
1437C22⋊C4—431no—
1438C22⋊C4—431no—
1439C22⋊C4—431no—
1440C22⋊C4—431no—
1441C22⋊C4—431no—
1442C22⋊C4—431no—
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⋊C4—861no—
1460C22⋊C4—861no—
1461C42—21no—
1462C42—21no—
1463C42—21no—
1464C42—431no—
1465C42—431no—
1466C42—431no—
1467C42—431no—
1468C42—431no—
1469C42—431no—
1470C42—861no—
1471C42—861no—
1472C42—861no—
1473C42—861no—
1474C42—861no—
1475C42—861no—
1476C42D4×D4311yescharacteristic
1477C42D4×D4311yescharacteristic
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—862no—
1494Q8—3441no—
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—41no—
1531C2×C4—41no—
1532C2×C4—42no—
1533C2×C4—431no—
1534C2×C4—432no—
1535C2×C4—432no—
1536C2×C4—431no—
1537C2×C4—431no—
1538C2×C4—431no—
1539C2×C4—431no—
1540C2×C4—431no—
1541C2×C4—861no—
1542C2×C4—861no—
1543C2×C4—861no—
1544C2×C4—861no—
1545C2×C4—861no—
1546C2×C4—861no—
1547C2×C4—861no—
1548C2×C4—861no—
1549C2×C4—3441no—
1550C2×C4—3441no—
1551C2×C4—3441no—
1552C2×C4—3441no—
1553C2×C4—3441no—
1554C2×C4—3441no—
1555C2×C4—3441no—
1556C2×C4—3441no—
1557C2×C4—3441no—
1558C2×C4—3441no—
1559C2×C4—1721no—
1560C2×C4—1721no—
1561C2×C4—1721no—
1562C2×C4—1721no—
1563C2×C4—1722no—
1564C2×C4—1722no—
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#1914936811yescharacteristic
1634C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3240C2
socleC22×C43C23×D4
prime radical#19148016C2
hypercenter#3240D43
hypocenterC43#60890
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3240

Complements

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

NH ≅ G/Ntype
1. #19148416C2semidirect
3. #19145899C2semidirect
4. #19145888C2semidirect
5. #19145884C2semidirect
6. #19145873C2semidirect
7. #19145854C2semidirect
8. #19145849C2semidirect
9. #19145849C2semidirect
10. #19145846C2semidirect
11. #19145840C2semidirect
12. #19145787C2semidirect
13. #19145783C2semidirect
14. #19145767C2semidirect
15. #19145759C2semidirect
16. #19145731C2semidirect
17. #19145730C2semidirect
18. #19145130C2semidirect
19. #19145122C2semidirect
20. #19144946C2semidirect
21. #19144946C2semidirect
22. #19144581C2semidirect
23. #19144576C2semidirect
24. #19144550C2semidirect
25. #19144548C2semidirect
26. #19144414C2semidirect
27. #19144390C2semidirect
28. #19144382C2semidirect
29. #478×D43C2semidirect
30. #19143262C2semidirect
31. C43×#3240C2semidirect
41. #14583527C22semidirect
42. #14583527C22semidirect
45. #14583526C22semidirect
46. #14583526C22semidirect
59. #14583455C22semidirect
65. C2×#13063317C22semidirect
67. #125×D43C22semidirect
75. #14583308C22semidirect
76. #14583308C22semidirect
77. #14583307C22semidirect
78. #14583307C22semidirect
79. #14583306C22semidirect
80. #14583306C22semidirect
81. #14583303C22semidirect
82. #14583302C22semidirect
83. #14583300C22semidirect
84. #14583299C22semidirect
85. #14583298C22semidirect
86. #14583298C22semidirect
87. #14583296C22semidirect
88. #14583295C22semidirect
103. #14583239C22semidirect
104. #14583238C22semidirect
105. #14583233C22semidirect
106. #14583232C22semidirect
107. #14583228C22semidirect
108. #14583227C22semidirect
110. #14583226C22semidirect
112. #14583225C22semidirect
115. #14583223C22semidirect
116. #14583223C22semidirect
120. #14583219C22semidirect
122. #14583218C22semidirect
126. #14583214C22semidirect
128. #14583213C22semidirect
131. #14583208C22semidirect
132. #14583206C22semidirect
133. #14583206C22semidirect
134. #14583204C22semidirect
136. #14583202C22semidirect
140. #14583200C22semidirect
141. #14583200C22semidirect
145. #14583198C22semidirect
149. #14583196C22semidirect
150. #14583196C22semidirect
151. #14583192C22semidirect
153. #14583188C22semidirect
155. #14583182C22semidirect
157. #14583178C22semidirect
159. #14582961C22semidirect
160. #14582961C22semidirect
161. #14582957C22semidirect
162. #14582957C22semidirect
163. #14582955C22semidirect
164. #14582952C22semidirect
165. #14582951C22semidirect
188. C43×#533C22semidirect
190. C43×#501C22semidirect
191. C43×#501C22semidirect
194. C43×#485C22semidirect
195. C43×#485C22semidirect
198. C43×#479C22semidirect
199. C43×#479C22semidirect
202. C43×#432C22semidirect
820. #3240D43semidirect
877. #533C2×D43semidirect
900. #501C2×D43semidirect
901. #501C2×D43semidirect
928. #485C2×D43semidirect
929. #485C2×D43semidirect
962. #479C2×D43semidirect
963. #479C2×D43semidirect
995. #432C2×D43semidirect
1020. C43#60890semidirect

Maximal subgroups

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

subgroupindex
#191484162
#191480162
#191458992
#191458882
#191458842
#191458732
#191458542
#191458492
#191458462
#191458402
#191457872
#191457832
#191457672
#191457592
#191457312
#191457302
#191451302
#191451222
#191449462
#191445812
#191445762
#191445502
#191445482
#191444142
#191443902
#191443822
#478×D432
#191432622
C43×#32402
#6089043