Finite Group Databasebeta

← #25969155

Subgroups — #25969155

Order 11008.

1722 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148500C211yesmaximal, characteristic
2#19148410C211yesmaximal, characteristic, complemented
3#19145896C211yesmaximal, characteristic, complemented
4#19145895C211yesmaximal, characteristic, complemented
5#19145894C211yesmaximal, characteristic, complemented
6#19145893C211yesmaximal, characteristic, complemented
7#19145888C211yesmaximal, characteristic, complemented
8#19145887C211yesmaximal, characteristic, complemented
9#19145886C211yesmaximal, characteristic, complemented
10#19145753C211yesmaximal, characteristic, complemented
11#19145752C211yesmaximal, characteristic, complemented
12#19145738C211yesmaximal, characteristic, complemented
13#19145737C211yesmaximal, characteristic, complemented
14#19145730C211yesmaximal, characteristic, complemented
15#19145729C211yesmaximal, characteristic, complemented
16#19145722C211yesmaximal, characteristic, complemented
17#19145721C211yesmaximal, characteristic, complemented
18#19145140C211yesmaximal, characteristic, complemented
19#498×D43C211yesmaximal, characteristic, complemented
20#19144987C211yesmaximal, characteristic, complemented
21#19144916C211yesmaximal, characteristic, complemented
22#19144587C211yesmaximal, characteristic, complemented
23#19144585C211yesmaximal, characteristic, complemented
24#19144581C211yesmaximal, characteristic, complemented
25#19144579C211yesmaximal, characteristic, complemented
26#19144460C211yesmaximal, characteristic, complemented
27#19144458C211yesmaximal, characteristic, complemented
28#19144454C211yesmaximal, characteristic, complemented
29#19144452C211yesmaximal, characteristic, complemented
30#19143236C211yesmaximal, characteristic, complemented
31C43×#3244C211yesmaximal, characteristic, complemented
32#14583629—21no—
33#14583626—21no—
34#14583616—21no—
35#14583611—21no—
36#14583605—21no—
37#14583603—21no—
38#14583603—21no—
39#14583603—21no—
40#14583600—21no—
41#14583594—21no—
42#14583564—21no—
43#14583562—21no—
44#14583562—21no—
45#14583559—21no—
46#14583557—21no—
47#14583547—21no—
48#14583529C2211yescharacteristic
49#14583529C2211yescharacteristic
50#14583527C2211yescharacteristic
51#14583526C2211yescharacteristic
52#14583526C2211yescharacteristic
53#14583523C2211yescharacteristic
54#14583520C2211yescharacteristic
55#14583518C2211yescharacteristic
56#14583479C2211yescharacteristic
57#14583478C2211yescharacteristic
58#14583455C2211yescharacteristic
59#14583455C2211yescharacteristic
60#14583453C2211yescharacteristic
61#14583452C2211yescharacteristic
62#14583451C2211yescharacteristic
63#14583448C2211yescharacteristic
64#14583446C2211yescharacteristic
65#14583444C2211yescharacteristic
66C2×#13063324C2211yescharacteristic
67C4⋊Q8×D43C2211yescharacteristic
68C4⋊Q8×D43C2211yescharacteristic
69C4⋊Q8×D43C2211yescharacteristic
70#14583381C2211yescharacteristic
71#14583380C2211yescharacteristic
72#14583379C2211yescharacteristic
73#14583378C2211yescharacteristic
74#14583367C2211yescharacteristic
75#14583309C2211yescharacteristic
76#14583308C2211yescharacteristic
77#14583305C2211yescharacteristic
78#14583303C2211yescharacteristic
79#14583303C2211yescharacteristic
80#14583297C2211yescharacteristic
81#14583296C2211yescharacteristic
82#14583296C2211yescharacteristic
83#14583296C2211yescharacteristic
84#14583296C2211yescharacteristic
85#14583296C2211yescharacteristic
86#14583296C2211yescharacteristic
87#14583295C2211yescharacteristic
88#14583295C2211yescharacteristic
89#14583261C2211yescharacteristic
90#14583259C2211yescharacteristic
91#14583258C2211yescharacteristic
92#14583256C2211yescharacteristic
93#14583254C2211yescharacteristic
94#14583253C2211yescharacteristic
95#14583248C2211yescharacteristic
96#14583248C2211yescharacteristic
97#14583248C2211yescharacteristic
98#14583248C2211yescharacteristic
99#14583244C2211yescharacteristic
100#14583244C2211yescharacteristic
101#14583244C2211yescharacteristic
102#14583244C2211yescharacteristic
103#14583243C2211yescharacteristic
104#14583242C2211yescharacteristic
105#14583241C2211yescharacteristic
106#14583240C2211yescharacteristic
107#14583239C2211yescharacteristic
108#14583238C2211yescharacteristic
109#14583237C2211yescharacteristic
110#14583231C2211yescharacteristic
111#14583231C2211yescharacteristic
112#14583230C2211yescharacteristic
113#14583229C2211yescharacteristic
114#14583228C2211yescharacteristic
115#14583228C2211yescharacteristic
116#14583227C2211yescharacteristic
117#14583226C2211yescharacteristic
118#14583225C2211yescharacteristic
119#14583224C2211yescharacteristic
120#14583223C2211yescharacteristic
121#14583222C2211yescharacteristic
122#14583221C2211yescharacteristic
123#14583220C2211yescharacteristic
124#14583219C2211yescharacteristic
125#14583219C2211yescharacteristic
126#14583218C2211yescharacteristic
127#14583217C2211yescharacteristic
128#14583216C2211yescharacteristic
129#14583216C2211yescharacteristic
130#14583215C2211yescharacteristic
131#14583209C2211yescharacteristic
132#14583208C2211yescharacteristic
133#14583207C2211yescharacteristic
134#14583206C2211yescharacteristic
135#14583205C2211yescharacteristic
136#14583204C2211yescharacteristic
137#14583203C2211yescharacteristic
138#14583202C2211yescharacteristic
139#14583201C2211yescharacteristic
140#14583200C2211yescharacteristic
141#14583199C2211yescharacteristic
142#14583198C2211yescharacteristic
143#14583197C2211yescharacteristic
144#14583196C2211yescharacteristic
145#14583190C2211yescharacteristic
146#14583189C2211yescharacteristic
147#14583188C2211yescharacteristic
148#14583188C2211yescharacteristic
149#14583187C2211yescharacteristic
150#14583187C2211yescharacteristic
151#14583186C2211yescharacteristic
152#14583185C2211yescharacteristic
153#14583184C2211yescharacteristic
154#14583183C2211yescharacteristic
155#14583183C2211yescharacteristic
156#14583182C2211yescharacteristic
157#14583182C2211yescharacteristic
158#14583181C2211yescharacteristic
159#14582961C2211yescharacteristic
160#14582960C2211yescharacteristic
161#14582958C2211yescharacteristic
162#14582951C2211yescharacteristic
163#14582951C2211yescharacteristic
164#14582949C2211yescharacteristic
165#14582949C2211yescharacteristic
166#14582940C2211yescharacteristic
167#14582940C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582938C2211yescharacteristic
170#106×D43C2211yescharacteristic
171#106×D43C2211yescharacteristic
172#106×D43C2211yescharacteristic
173#106×D43C2211yescharacteristic
174#14582924C2211yescharacteristic
175#14582924C2211yescharacteristic
176#14582899C2211yescharacteristic
177#14582899C2211yescharacteristic
178#14582897C2211yescharacteristic
179#14582897C2211yescharacteristic
180#14582894C2211yescharacteristic
181#14582894C2211yescharacteristic
182#14582892C2211yescharacteristic
183#14582892C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582851C2211yescharacteristic
187C4×C8×D43C2211yescharacteristic
188C43×#544C2211yescharacteristic
189C43×#542C2211yescharacteristic
190C43×#501C2211yescharacteristic
191C43×#498C2211yescharacteristic
192C43×#489C2211yescharacteristic
193C43×#488C2211yescharacteristic
194C43×#485C2211yescharacteristic
195C43×#483C2211yescharacteristic
196C43×#482C2211yescharacteristic
197C43×#481C2211yescharacteristic
198C43×#479C2211yescharacteristic
199C43×#478C2211yescharacteristic
200C43×#476C2211yescharacteristic
201C43×#475C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×#10621900C2311yescharacteristic
208C22×Dic86—21no—
209C2×Q8×D43—21no—
210C2×Q8×D43—21no—
211C2×Q8×D43—21no—
212C2×#10621872C2311yescharacteristic
213C2×#10621872C2311yescharacteristic
214C2×C8×D43C2311yescharacteristic
215C2×C8×D43C2311yescharacteristic
216#13063325C2311yescharacteristic
217#13063325C2311yescharacteristic
218#13063325C2311yescharacteristic
219#13063324—21no—
220#13063324—21no—
221#13063324—21no—
222#13063324—21no—
223#13063324—21no—
224#13063324—21no—
225#13063324—21no—
226#13063324—21no—
227#13063324C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063323—21no—
236#13063323—21no—
237#13063323—21no—
238#13063323—21no—
239#13063323—21no—
240#13063323C2311yescharacteristic
241#13063321C2311yescharacteristic
242#13063320—21no—
243#13063320—21no—
244#13063318—21no—
245#13063317C2311yescharacteristic
246#13063317C2311yescharacteristic
247#13063316—21no—
248#13063316C2311yescharacteristic
249#13063316C2311yescharacteristic
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063314—21no—
257#13063313C2311yescharacteristic
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063310—21no—
263#13063309—21no—
264#13063307—21no—
265#13063305—21no—
266#13063305—21no—
267#13063305C2311yescharacteristic
268#13063304C2311yescharacteristic
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#13063303—21no—
280#13063302—21no—
281#13063302—21no—
282#13063302—21no—
283#13063302—21no—
284#13063302—21no—
285#13063302—21no—
286#13063302—21no—
287#13063301—21no—
288#13063301—21no—
289#13063301—21no—
290#13063301C2311yescharacteristic
291#13063300—21no—
292#13063300C2311yescharacteristic
293#13063299C2311yescharacteristic
294#13063298—21no—
295#13063298—21no—
296#13063298—21no—
297#13063298—21no—
298#13063298—21no—
299#13063298—21no—
300#13063297—21no—
301#13063297—21no—
302#13063296—21no—
303#13063296C2311yescharacteristic
304Q8×Dic43C2311yescharacteristic
305C4×Dic86—21no—
306C4×Dic86—21no—
307C4×Dic86—21no—
308C4×Dic86—21no—
309C4×Dic86C2311yescharacteristic
310#13063290—21no—
311#13063290—21no—
312#13063290—21no—
313#13063290—21no—
314#13063290—21no—
315#13063290—21no—
316#13063290D411yescharacteristic
317#13063290D411yescharacteristic
318#13063290C2311yescharacteristic
319C4×D172—21no—
320C4×D172—21no—
321C4×D172C2311yescharacteristic
322D4×Dic43C2311yescharacteristic
323#13063287—21no—
324#13063287—21no—
325#13063287D411yescharacteristic
326#13063287D411yescharacteristic
327#13063287C2311yescharacteristic
328C4×C22⋊D43—21no—
329C4×C22⋊D43—21no—
330C4×C22⋊D43—21no—
331C4×C22⋊D43—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)⋊C4—21no—
338(C22⋊D43)⋊C4D411yescharacteristic
339(C22⋊D43)⋊C4D411yescharacteristic
340(C22⋊D43)⋊C4D411yescharacteristic
341(C22⋊D43)⋊C4D411yescharacteristic
342#13063284C2311yescharacteristic
343#13063283C2311yescharacteristic
344#13063283C2311yescharacteristic
345#13063283C2311yescharacteristic
346#13063283C2311yescharacteristic
347#13063282—21no—
348#13063282—21no—
349#13063282C2311yescharacteristic
350#13063282C2311yescharacteristic
351#13063281—21no—
352#13063281—21no—
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
365C4⋊C4×D43C2311yescharacteristic
366C2×C4×Dic43C2311yescharacteristic
367C42×D43C2311yescharacteristic
368C42×D43C2311yescharacteristic
369#13063259C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063258C2311yescharacteristic
372#13063258C2311yescharacteristic
373#13063258C2311yescharacteristic
374#13063258C2311yescharacteristic
375#13063257C2311yescharacteristic
376#13063257C2311yescharacteristic
377#13063257C2311yescharacteristic
378#13063257C2311yescharacteristic
379#13063257C2311yescharacteristic
380#13063257C2311yescharacteristic
381#13063256C2311yescharacteristic
382#13063256C2311yescharacteristic
383#13063256C2311yescharacteristic
384#13063256C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
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
430C4×C43⋊C8C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C4⋊Q8×C43—21no—
436C4⋊Q8×C43C2311yescharacteristic
437C4⋊Q8×C43C2311yescharacteristic
438C4⋊Q8×C43C2311yescharacteristic
439#126×C43—21no—
440#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
478C2×Q8×C43—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×C43—21no—
486C22×C4×C43C2411yescharacteristic
487C2×C22⋊D43—21no—
488C2×C22⋊D43—21no—
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43C2×D411yescharacteristic
493C2×C22⋊D43C2×D411yescharacteristic
494C22×Dic43—21no—
495C22×Dic43—21no—
496C22×Dic43—21no—
497C22×Dic43C2×D411yescharacteristic
498C22×Dic43C2×D411yescharacteristic
499#10621902—22no—
500#10621902—22no—
501Q8×D43—82no—
502Q8×D43—82no—
503Q8×D43—82no—
504#10621900—22no—
505#10621900—22no—
506#10621900—82no—
507#10621898—22no—
508#10621898—22no—
509#10621898—82no—
510C2×D172—21no—
511C2×D172—21no—
512C2×D172C2×D411yescharacteristic
513C2×D172C2411yescharacteristic
514C2×C4×D43—21no—
515C2×C4×D43—21no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43C2×D411yescharacteristic
524C2×C4×D43C2×D411yescharacteristic
525C2×C4×D43C2×D411yescharacteristic
526C2×C4×D43C2×D411yescharacteristic
527C2×C4×D43C2411yescharacteristic
528C2×C4×D43C2411yescharacteristic
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86—21no—
537C2×Dic86—21no—
538C2×Dic86—21no—
539C2×Dic86—21no—
540C2×Dic86—82no—
541C2×Dic86C2×D411yescharacteristic
542C2×Dic86C2411yescharacteristic
543C2×C8×C43C2411yescharacteristic
544C2×C8×C43C2411yescharacteristic
545C2×C8×C43C2411yescharacteristic
546C2×C8×C43C2411yescharacteristic
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×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43C2×D411yescharacteristic
558C4⋊C4×C43C2×D411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43C2×D411yescharacteristic
572C22⋊C4×C43C2×D411yescharacteristic
573C42×C43—21no—
574C42×C43—21no—
575C42×C43C2411yescharacteristic
576C42×C43C2411yescharacteristic
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—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⋊Dic43C2411yescharacteristic
606C4⋊Dic43C2411yescharacteristic
607C4⋊Dic43C2411yescharacteristic
608C4⋊Dic43C2411yescharacteristic
609C4⋊Dic43C2411yescharacteristic
610C4⋊Dic43C2411yescharacteristic
611Dic43⋊C4—21no—
612Dic43⋊C4—21no—
613Dic43⋊C4—21no—
614Dic43⋊C4—21no—
615Dic43⋊C4—21no—
616Dic43⋊C4—21no—
617Dic43⋊C4—21no—
618Dic43⋊C4—21no—
619Dic43⋊C4—21no—
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4C2×D411yescharacteristic
638Dic43⋊C4C2×D411yescharacteristic
639Dic43⋊C4C2×D411yescharacteristic
640Dic43⋊C4C2×D411yescharacteristic
641C4×Dic43—21no—
642C4×Dic43—21no—
643C4×Dic43—21no—
644C4×Dic43—21no—
645C4×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43C2×D411yescharacteristic
650C4×Dic43C2×D411yescharacteristic
651C4×Dic43C2×D411yescharacteristic
652C4×Dic43C2×D411yescharacteristic
653C4×Dic43C2×D411yescharacteristic
654C4×Dic43C2×D411yescharacteristic
655C4×Dic43C2411yescharacteristic
656C4×Dic43C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658C2×C43⋊C8C2411yescharacteristic
659C2×C43⋊C8C2411yescharacteristic
660C2×C43⋊C8C2411yescharacteristic
661#10621872—22no—
662#10621872—22no—
663C8×D43—22no—
664C8×D43—22no—
665C23×C43—21no—
666C23×C43C22×D411yescharacteristic
667C22×D43—21no—
668C22×D43C22×D411yescharacteristic
669C22×D43C22×D411yescharacteristic
670Q8×C43—21no—
671Q8×C43—21no—
672Q8×C43—81no—
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—81no—
688C2×C4×C43—81no—
689C2×C4×C43C22×D411yescharacteristic
690C2×C4×C43C22×D411yescharacteristic
691C2×C4×C43C22×D411yescharacteristic
692C2×C4×C43C22×D411yescharacteristic
693C2×C4×C43C22×D411yescharacteristic
694C2×C4×C43C2511yescharacteristic
695C22⋊D43—22no—
696C22⋊D43—22no—
697C22⋊D43—42no—
698C22⋊D43—42no—
699C22⋊D43—42no—
700C22⋊D43—81no—
701C22⋊D43—81no—
702C2×Dic43—22no—
703C2×Dic43—22no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—42no—
712C2×Dic43—81no—
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—42no—
724D172—81no—
725C4×D43—21no—
726C4×D43—21no—
727C4×D43—22no—
728C4×D43—22no—
729C4×D43—22no—
730C4×D43—22no—
731C4×D43—42no—
732C4×D43—81no—
733C4×D43—81no—
734C4×D43—81no—
735C4×D43—81no—
736C4×D43—81no—
737C4×D43—81no—
738C4×D43—81no—
739C4×D43—81no—
740C4×D432−1+412yes—
741C4×D432−1+412yes—
742Dic86—22no—
743Dic86—21no—
744Dic86—21no—
745Dic86—42no—
746Dic86—42no—
747Dic86—42no—
748Dic86—42no—
749Dic86—42no—
750Dic86—42no—
751Dic86—81no—
752Dic86—81no—
753Dic86—81no—
754Dic86—81no—
755Dic86—81no—
756C8×C43—21no—
757C8×C43—21no—
758C8×C43—21no—
759C8×C43—21no—
760C43⋊C8—21no—
761C43⋊C8—21no—
762C43⋊C8—21no—
763C43⋊C8—21no—
764#60881—431nomaximal, Sylow
765C22×C43—21no—
766C22×C43—21no—
767C22×C43—21no—
768C22×C43—41no—
769C22×C43—41no—
770C22×C43—41no—
771C22×C43C23×D411yescharacteristic
772C2×D43—21no—
773C2×D43—21no—
774C2×D43—21no—
775C2×D43—21no—
776C2×D43—21no—
777C2×D43—41no—
778C2×D43—41no—
779C2×D43—41no—
780C2×D43#53612yes—
781C4×C43—21no—
782C4×C43—21no—
783C4×C43—21no—
784C4×C43—21no—
785C4×C43—21no—
786C4×C43—41no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43—41no—
792C4×C43—41no—
793C4×C43C2×2−1+411yescharacteristic
794C4×C43C2×2−1+411yescharacteristic
795Dic43—21no—
796Dic43—21no—
797Dic43—21no—
798Dic43—41no—
799Dic43—41no—
800Dic43—41no—
801Dic43—41no—
802Dic43—41no—
803Dic43—41no—
804Dic43—41no—
805Dic43#53612yes—
806Dic43#57712yes—
807Dic43#57712yes—
808#3511—431no—
809#3503—431no—
810#3244—431no—
811#3244—431no—
812#3244—431no—
813#3244—431no—
814#3244—431no—
815#3244—431no—
816#3244—431no—
817#3244D4311yescharacteristic, complemented
818#3231—431no—
819#3231—431no—
820#3229—431no—
821#3229—431no—
822#3228—431no—
823#3228—431no—
824#3227—431no—
825#3227—431no—
826#3165—431no—
827C2×#498—431no—
828#3141—431no—
829#3131—431no—
830#3099—431no—
831#3099—431no—
832#3099—431no—
833#3099—431no—
834#3084—431no—
835#3084—431no—
836#3084—431no—
837#3084—431no—
838#2922—431no—
839C2×C43—41no—
840C2×C43—81no—
841C2×C43C2×#53611yescharacteristic
842C2×C43C2×#57711yescharacteristic
843C2×C43C2×#57711yescharacteristic
844D43—22no—
845D43—41no—
846D43—81no—
847Q82—861no—
848#557—861no—
849#556—861no—
850#555—861no—
851#554—861no—
852#554—861no—
853#554—861no—
854#554—861no—
855#553—861no—
856#553—861no—
857D4×Q8—861no—
858D4×Q8—861no—
859D4×Q8—861no—
860#548—861no—
861#548—861no—
862#547—861no—
863#544—431no—
864#544—431no—
865#544—431no—
866#544—431no—
867#544—431no—
868#544C2×D4311yescharacteristic
869#542—431no—
870#542—431no—
871#542—431no—
872#542C2×D4311yescharacteristic
873#537—431no—
874#537—431no—
875#533—431no—
876#533—431no—
877#533—431no—
878#533—431no—
879#533—431no—
880#532—431no—
881#532—431no—
882#532—431no—
883C2×C4⋊Q8—431no—
884C2×C4⋊Q8—431no—
885C2×C4⋊Q8—431no—
886C2×C4⋊Q8—431no—
887#520—431no—
888#520—431no—
889#520—431no—
890#520—431no—
891C4×#41—431no—
892#501—431no—
893#501—431no—
894#501—431no—
895#501C2×D4311yescharacteristic
896#500—431no—
897#500—431no—
898#498—431no—
899#498—431no—
900#498—431no—
901#498—431no—
902#498—431no—
903#498—431no—
904#498—431no—
905#498—431no—
906#498—431no—
907#498C2×D4311yescharacteristic
908#489—431no—
909#489—431no—
910#489—431no—
911#489C2×D4311yescharacteristic
912#488—431no—
913#488—431no—
914#488—431no—
915#488C2×D4311yescharacteristic
916#487—431no—
917#487—431no—
918#487—431no—
919#487—431no—
920#486—431no—
921#486—431no—
922#486—431no—
923#486—431no—
924#485—431no—
925#485—431no—
926#485—431no—
927#485—431no—
928#485—431no—
929#485—431no—
930#485—431no—
931#485C2×D4311yescharacteristic
932#483—431no—
933#483—431no—
934#483—431no—
935#483—431no—
936#483—431no—
937#483—431no—
938#483—431no—
939#483C2×D4311yescharacteristic
940#482—431no—
941#482—431no—
942#482—431no—
943#482—431no—
944#482—431no—
945#482—431no—
946#482—431no—
947#482C2×D4311yescharacteristic
948#481—431no—
949#481—431no—
950#481—431no—
951#481—431no—
952#481—431no—
953#481—431no—
954#481—431no—
955#481C2×D4311yescharacteristic
956#479—431no—
957#479—431no—
958#479—431no—
959#479—431no—
960#479—431no—
961#479—431no—
962#479—431no—
963#479C2×D4311yescharacteristic
964#478—431no—
965#478—431no—
966#478—431no—
967#478—431no—
968#478—431no—
969#478—431no—
970#478—431no—
971#478C2×D4311yescharacteristic
972#476—431no—
973#476—431no—
974#476—431no—
975#476—431no—
976#476—431no—
977#476—431no—
978#476—431no—
979#476C2×D4311yescharacteristic
980#475—431no—
981#475—431no—
982#475—431no—
983#475—431no—
984#475—431no—
985#475—431no—
986#475—431no—
987#475C2×D4311yescharacteristic
988#433—431no—
989#433—431no—
990#433—431no—
991#433C2×D4311yescharacteristic
992#431—431no—
993#431—431no—
994#431—431no—
995#431—431no—
996#428—431no—
997#428—431no—
998#428—431no—
999#428—431no—
1000C2×#106—431no—
1001C2×#106—431no—
1002C2×#106—431no—
1003C2×#106—431no—
1004#424—431no—
1005#424—431no—
1006#417—431no—
1007#417—431no—
1008#417—431no—
1009#417—431no—
1010#416—431no—
1011#416—431no—
1012#416—431no—
1013#416—431no—
1014#408—431no—
1015#408—431no—
1016C4×M16—431no—
1017C2×C4×C8—431no—
1018C43#6088111yescharacteristic, complemented, Sylow
1019C2×#41—431no—
1020C2×#41—431no—
1021C2×#41—431no—
1022C2×#41—861no—
1023C2×#41—861no—
1024C22×Q8—861no—
1025C22×Q8—861no—
1026C22×Q8—861no—
1027C22×Q8—861no—
1028C2×M16—431no—
1029C2×M16—431no—
1030C22×C8—431no—
1031C22×C8—431no—
1032C4⋊Q8—21no—
1033C4⋊Q8—431no—
1034C4⋊Q8—431no—
1035C4⋊Q8—431no—
1036C4⋊Q8—431no—
1037C4⋊Q8—431no—
1038C4⋊Q8—431no—
1039C4⋊Q8—431no—
1040C4⋊Q8—431no—
1041C4⋊Q8—431no—
1042C4⋊Q8—431no—
1043C4⋊Q8—431no—
1044C4⋊Q8—431no—
1045C4⋊Q8—861no—
1046C4⋊Q8—861no—
1047C4⋊Q8—861no—
1048C4⋊Q8—861no—
1049C4⋊Q8—861no—
1050C4⋊Q8—861no—
1051C4⋊Q8—861no—
1052C4⋊Q8—861no—
1053C4⋊Q8—861no—
1054C4⋊Q8—861no—
1055C4⋊Q8—861no—
1056C4⋊Q8—861no—
1057C4⋊Q8—861no—
1058C4⋊Q8C22×D4311yescharacteristic
1059C4⋊Q8C22×D4311yescharacteristic
1060C4⋊Q8C22×D4311yescharacteristic
1061#127—431no—
1062#126—21no—
1063#126—861no—
1064#126—861no—
1065#126—861no—
1066#125—21no—
1067#125—431no—
1068#125—431no—
1069#125—431no—
1070#125—431no—
1071#125—861no—
1072#125—861no—
1073#125—861no—
1074#125—861no—
1075#125—861no—
1076#125—861no—
1077#125—861no—
1078#125C22×D4311yescharacteristic
1079#125C22×D4311yescharacteristic
1080#124—21no—
1081#124—431no—
1082#124—861no—
1083#124—861no—
1084#124—861no—
1085#124—861no—
1086#124—861no—
1087#124C22×D4311yescharacteristic
1088#123—21no—
1089#123—861no—
1090#123—861no—
1091#123—861no—
1092C22⋊Q8—21no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—431no—
1096C22⋊Q8—431no—
1097C22⋊Q8—431no—
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⋊Q8—861no—
1118C22⋊Q8—861no—
1119C22⋊Q8—861no—
1120C22⋊Q8—861no—
1121C22⋊Q8C22×D4311yescharacteristic
1122#121—431no—
1123#121—431no—
1124#121—431no—
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#121—861no—
1135#121C22×D4311yescharacteristic
1136C4×Q8—431no—
1137C4×Q8—431no—
1138C4×Q8—431no—
1139C4×Q8—431no—
1140C4×Q8—431no—
1141C4×Q8—861no—
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×Q8—861no—
1151C4×Q8C22×D4311yescharacteristic
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—861no—
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×D4C22×D4311yescharacteristic
1176#117—431no—
1177#117—431no—
1178#117—431no—
1179#117—431no—
1180#117—431no—
1181#117—431no—
1182#117—431no—
1183#117—861no—
1184#117—861no—
1185#117—861no—
1186#117—861no—
1187#117C22×D4311yescharacteristic
1188#117C22×D4311yescharacteristic
1189C2×C4⋊C4—431no—
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×C42—431no—
1204C2×C42—431no—
1205C2×C42—431no—
1206#107—431no—
1207#107—431no—
1208#107—431no—
1209#107—431no—
1210#107—431no—
1211#107—431no—
1212#107C22×D4311yescharacteristic
1213#107C22×D4311yescharacteristic
1214#106—431no—
1215#106—431no—
1216#106—431no—
1217#106—431no—
1218#106—431no—
1219#106—431no—
1220#106—431no—
1221#106—431no—
1222#106—431no—
1223#106—431no—
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#106C22×D4311yescharacteristic
1233#106C22×D4311yescharacteristic
1234#106C22×D4311yescharacteristic
1235#106C22×D4311yescharacteristic
1236#106C22×D4311yescharacteristic
1237#106C22×D4311yescharacteristic
1238C4⋊C8—431no—
1239C4⋊C8—431no—
1240C4⋊C8—431no—
1241C4⋊C8—431no—
1242C4⋊C8—431no—
1243C4⋊C8—431no—
1244C4⋊C8C22×D4311yescharacteristic
1245C4⋊C8C22×D4311yescharacteristic
1246#103—431no—
1247#103—431no—
1248#103—431no—
1249#103—431no—
1250#103—431no—
1251#103—431no—
1252#103—431no—
1253#103—431no—
1254#103—431no—
1255#103—431no—
1256#103—431no—
1257#103—431no—
1258#103C22×D4311yescharacteristic
1259#103C22×D4311yescharacteristic
1260#103C22×D4311yescharacteristic
1261#103C22×D4311yescharacteristic
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#102C22×D4311yescharacteristic
1275#102C22×D4311yescharacteristic
1276#102C22×D4311yescharacteristic
1277#102C22×D4311yescharacteristic
1278C22⋊C8—431no—
1279C22⋊C8—431no—
1280C22⋊C8—431no—
1281C22⋊C8—431no—
1282C22⋊C8—431no—
1283C22⋊C8—431no—
1284C22⋊C8C22×D4311yescharacteristic
1285C22⋊C8C22×D4311yescharacteristic
1286#97—431no—
1287#97C22×D4311yescharacteristic
1288C4×C8—431no—
1289C4×C8—431no—
1290C4×C8—431no—
1291C4×C8—431no—
1292C4×C8—431no—
1293C4×C8C22×D4311yescharacteristic
1294#41—862no—
1295#41—862no—
1296#41—862no—
1297#41—862no—
1298#41—862no—
1299#41—862no—
1300#41—3442no—
1301#41—3442no—
1302C2×Q8—21no—
1303C2×Q8—21no—
1304C2×Q8—21no—
1305C2×Q8—431no—
1306C2×Q8—431no—
1307C2×Q8—861no—
1308C2×Q8—861no—
1309C2×Q8—861no—
1310C2×Q8—861no—
1311C2×Q8—861no—
1312C2×Q8—861no—
1313C2×Q8—861no—
1314C2×Q8—861no—
1315C2×Q8—861no—
1316C2×Q8—861no—
1317C2×Q8—861no—
1318C2×Q8—3442no—
1319C2×Q8—3442no—
1320C2×Q8—3442no—
1321C2×Q8—3442no—
1322C2×Q8C23×D4311yescharacteristic
1323C2×D4—21no—
1324C2×D4—431no—
1325C2×D4—431no—
1326C2×D4—431no—
1327C2×D4—431no—
1328C2×D4—861no—
1329C2×D4—861no—
1330C2×D4—861no—
1331C2×D4—861no—
1332C2×D4—861no—
1333C2×D4—861no—
1334C2×D4—861no—
1335C2×D4C23×D4311yescharacteristic
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—431no—
1339C22×C4—431no—
1340C22×C4—431no—
1341C22×C4—431no—
1342C22×C4—431no—
1343C22×C4—431no—
1344C22×C4—431no—
1345C22×C4—431no—
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—861no—
1356C22×C4—861no—
1357C22×C4—861no—
1358C22×C4C23×D4311yescharacteristic
1359M16—862no—
1360M16—862no—
1361C2×C8—431no—
1362C2×C8—431no—
1363C2×C8—431no—
1364C2×C8—431no—
1365C2×C8—862no—
1366C2×C8—862no—
1367C2×C8C23×D4311yescharacteristic
1368C2×C8C23×D4311yescharacteristic
1369C2×C8C23×D4311yescharacteristic
1370C2×C8C23×D4311yescharacteristic
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—21no—
1380C4⋊C4—21no—
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⋊C4—861no—
1425C4⋊C4D4×D4311yescharacteristic
1426C4⋊C4D4×D4311yescharacteristic
1427C4⋊C4C23×D4311yescharacteristic
1428C4⋊C4C23×D4311yescharacteristic
1429C4⋊C4C23×D4311yescharacteristic
1430C4⋊C4C23×D4311yescharacteristic
1431C4⋊C4C23×D4311yescharacteristic
1432C4⋊C4C23×D4311yescharacteristic
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—21no—
1437C22⋊C4—21no—
1438C22⋊C4—21no—
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⋊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—
1478C42—861no—
1479C42C23×D4311yescharacteristic
1480C42C23×D4311yescharacteristic
1481C23—21no—
1482C23—431no—
1483C23—431no—
1484C23—861no—
1485C23C2×D4×D4311yescharacteristic
1486Q8—21no—
1487Q8—21no—
1488Q8—81no—
1489Q8—81no—
1490Q8—81no—
1491Q8—862no—
1492Q8—861no—
1493Q8—861no—
1494Q8—3441no—
1495Q8—3441no—
1496Q8—3441no—
1497Q8—3441no—
1498Q8—3441no—
1499Q8—1722no—
1500Q8—1722no—
1501Q8—1722no—
1502Q8—1722no—
1503Q8—1722no—
1504Q8—1722no—
1505D4—21no—
1506D4—21no—
1507D4—81no—
1508D4—862no—
1509D4—862no—
1510D4—862no—
1511D4—861no—
1512D4—861no—
1513D4—3441no—
1514D4—3441no—
1515D4—3441no—
1516D4—1722no—
1517D4—1722no—
1518D4—1722no—
1519D4—1722no—
1520C2×C4—21no—
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—81no—
1530C2×C4—81no—
1531C2×C4—431no—
1532C2×C4—431no—
1533C2×C4—431no—
1534C2×C4—432no—
1535C2×C4—432no—
1536C2×C4—431no—
1537C2×C4—431no—
1538C2×C4—431no—
1539C2×C4—862no—
1540C2×C4—862no—
1541C2×C4—862no—
1542C2×C4—862no—
1543C2×C4—862no—
1544C2×C4—862no—
1545C2×C4—861no—
1546C2×C4—861no—
1547C2×C4—861no—
1548C2×C4—861no—
1549C2×C4—861no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—3441no—
1555C2×C4—3441no—
1556C2×C4—3441no—
1557C2×C4—3441no—
1558C2×C4—3441no—
1559C2×C4—3441no—
1560C2×C4—3441no—
1561C2×C4—3441no—
1562C2×C4—3441no—
1563C2×C4—3441no—
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—1721no—
1593C22—1721no—
1594C22—1721no—
1595C22C22×D4×D4311yescharacteristic
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—432no—
1609C4—432no—
1610C4—432no—
1611C4—861no—
1612C4—861no—
1613C4—861no—
1614C4—1721no—
1615C4—1721no—
1616C4—1721no—
1617C4—1721no—
1618C4—1721no—
1619C4—1721no—
1620C4—1721no—
1621C42−1+4×D4311yescharacteristic
1622C42−1+4×D4311yescharacteristic
1623C2—41no—
1624C2—81no—
1625C2—862no—
1626C2—3441no—
1627C2—1721no—
1628C2#536×D4311yescharacteristic
1629C2#577×D4311yescharacteristic
1630C2#577×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3244C2
socleC22×C43C23×D4
prime radical#19148500C2
hypercenter#3244D43
hypocenterC43#60881
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
2. #19148410C2semidirect
3. #19145896C2semidirect
4. #19145895C2semidirect
5. #19145894C2semidirect
6. #19145893C2semidirect
7. #19145888C2semidirect
8. #19145887C2semidirect
9. #19145886C2semidirect
10. #19145753C2semidirect
11. #19145752C2semidirect
12. #19145738C2semidirect
13. #19145737C2semidirect
14. #19145730C2semidirect
15. #19145729C2semidirect
16. #19145722C2semidirect
17. #19145721C2semidirect
18. #19145140C2semidirect
19. #498×D43C2semidirect
20. #19144987C2semidirect
21. #19144916C2semidirect
22. #19144587C2semidirect
23. #19144585C2semidirect
24. #19144581C2semidirect
25. #19144579C2semidirect
26. #19144460C2semidirect
27. #19144458C2semidirect
28. #19144454C2semidirect
29. #19144452C2semidirect
30. #19143236C2semidirect
31. C43×#3244C2semidirect
817. #3244D43semidirect
1018. C43#60881semidirect

Maximal subgroups

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

subgroupindex
#191485002
#191484102
#191458962
#191458952
#191458942
#191458932
#191458882
#191458872
#191458862
#191457532
#191457522
#191457382
#191457372
#191457302
#191457292
#191457222
#191457212
#191451402
#498×D432
#191449872
#191449162
#191445872
#191445852
#191445812
#191445792
#191444602
#191444582
#191444542
#191444522
#191432362
C43×#32442
#6088143