Finite Group Databasebeta

← #25987385

Subgroups — #25987385

Order 11008.

1756 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148989C211yesmaximal, characteristic, complemented
2#19148408C211yesmaximal, characteristic, complemented
3#19147508C211yesmaximal, characteristic, complemented
4#19147506C211yesmaximal, characteristic, complemented
5#19147497C211yesmaximal, characteristic, complemented
6#19147495C211yesmaximal, characteristic, complemented
7#19147473C211yesmaximal, characteristic, complemented
8#19147471C211yesmaximal, characteristic, complemented
9#19147462C211yesmaximal, characteristic, complemented
10#19147457C211yesmaximal, characteristic, complemented
11#19147325C211yesmaximal, characteristic, complemented
12#19147319C211yesmaximal, characteristic, complemented
13#19147303C211yesmaximal, characteristic, complemented
14#19147297C211yesmaximal, characteristic, complemented
15#19147264C211yesmaximal, characteristic, complemented
16#19147261C211yesmaximal, characteristic, complemented
17#19147228C211yesmaximal, characteristic, complemented
18#19147225C211yesmaximal, characteristic, complemented
19#19145852C211yesmaximal, characteristic, complemented
20#19145850C211yesmaximal, characteristic, complemented
21#19145844C211yesmaximal, characteristic, complemented
22#19145842C211yesmaximal, characteristic, complemented
23#19145721C211yesmaximal, characteristic, complemented
24#19145714C211yesmaximal, characteristic, complemented
25#19144795C211yesmaximal, characteristic, complemented
26#19144794C211yesmaximal, characteristic, complemented
27#19144787C211yesmaximal, characteristic, complemented
28#19144648C211yesmaximal, characteristic, complemented
29#19144648C211yesmaximal, characteristic, complemented
30#19143694C211yesmaximal, characteristic, complemented
31C43×#3119C211yesmaximal, characteristic, complemented
32#14583646—21no—
33#14583646—21no—
34Q8×Dic86C2211yescharacteristic
35Q8×Dic86C2211yescharacteristic
36#14583625C2211yescharacteristic
37#14583625C2211yescharacteristic
38#14583608—21no—
39#14583608—21no—
40#14583608C2211yescharacteristic
41#14583608C2211yescharacteristic
42#14583608C2211yescharacteristic
43#14583608C2211yescharacteristic
44#14583605C2211yescharacteristic
45#14583605C2211yescharacteristic
46#14583570C2211yescharacteristic
47#14583570C2211yescharacteristic
48#14583569C2211yescharacteristic
49#14583569C2211yescharacteristic
50D4×Dic86—21no—
51D4×Dic86—21no—
52D4×Dic86C2211yescharacteristic
53D4×Dic86C2211yescharacteristic
54#14583547—21no—
55#14583547—21no—
56#14583530—21no—
57#14583530C2211yescharacteristic
58#14583527—21no—
59#14583527C2211yescharacteristic
60#14583504C2211yescharacteristic
61#14583502C2211yescharacteristic
62#14583502C2211yescharacteristic
63#14583478—21no—
64#14583478—21no—
65#14583476—21no—
66#14583476—21no—
67#14583452—21no—
68#14583452C2211yescharacteristic
69#14583444C2211yescharacteristic
70#14583444C2211yescharacteristic
71C2×#13063324—21no—
72C2×#13063324C2211yescharacteristic
73#14583382C2211yescharacteristic
74#41×Dic43C2211yescharacteristic
75#14583309C2211yescharacteristic
76#14583308C2211yescharacteristic
77#14583307C2211yescharacteristic
78#14583306C2211yescharacteristic
79#14583303C2211yescharacteristic
80#14583303C2211yescharacteristic
81#14583301C2211yescharacteristic
82#14583300C2211yescharacteristic
83#14583299C2211yescharacteristic
84#14583298C2211yescharacteristic
85#14583296C2211yescharacteristic
86#14583296C2211yescharacteristic
87#14583264C2211yescharacteristic
88#14583263C2211yescharacteristic
89#14583262C2211yescharacteristic
90#14583262C2211yescharacteristic
91#14583246C2211yescharacteristic
92#14583245C2211yescharacteristic
93#14583244C2211yescharacteristic
94#14583244C2211yescharacteristic
95#14583244C2211yescharacteristic
96#14583244C2211yescharacteristic
97#14583244C2211yescharacteristic
98#14583244C2211yescharacteristic
99#14583224C2211yescharacteristic
100#14583224C2211yescharacteristic
101#14583220C2211yescharacteristic
102#14583220C2211yescharacteristic
103#14583218C2211yescharacteristic
104#14583217C2211yescharacteristic
105#14583215C2211yescharacteristic
106#14583213C2211yescharacteristic
107#14583212C2211yescharacteristic
108#14583210C2211yescharacteristic
109#14583208C2211yescharacteristic
110#14583206C2211yescharacteristic
111#14583204C2211yescharacteristic
112#14583202C2211yescharacteristic
113#14583201C2211yescharacteristic
114#14583201C2211yescharacteristic
115#14583200C2211yescharacteristic
116#14583200C2211yescharacteristic
117#14583199C2211yescharacteristic
118#14583199C2211yescharacteristic
119#14583199C2211yescharacteristic
120#14583198C2211yescharacteristic
121#14583197C2211yescharacteristic
122#14583197C2211yescharacteristic
123#14583192C2211yescharacteristic
124#14583192C2211yescharacteristic
125#14583190C2211yescharacteristic
126#14583189C2211yescharacteristic
127#14583188C2211yescharacteristic
128#14583188C2211yescharacteristic
129#14583188C2211yescharacteristic
130#14583187C2211yescharacteristic
131#14583187C2211yescharacteristic
132#14583187C2211yescharacteristic
133#14583187C2211yescharacteristic
134#14583187C2211yescharacteristic
135#14583180C2211yescharacteristic
136#14583179C2211yescharacteristic
137#14583178C2211yescharacteristic
138#14583178C2211yescharacteristic
139#14583178C2211yescharacteristic
140#14583177C2211yescharacteristic
141#14583177C2211yescharacteristic
142#14583177C2211yescharacteristic
143#14583099C2211yescharacteristic
144#14583097C2211yescharacteristic
145#14583097C2211yescharacteristic
146#14583097C2211yescharacteristic
147#14583097C2211yescharacteristic
148#14583094C2211yescharacteristic
149#14583092C2211yescharacteristic
150#14583092C2211yescharacteristic
151#14583092C2211yescharacteristic
152#14583092C2211yescharacteristic
153#14583044C2211yescharacteristic
154#14583044C2211yescharacteristic
155#14583028C2211yescharacteristic
156#14583028C2211yescharacteristic
157#14583027C2211yescharacteristic
158#14583027C2211yescharacteristic
159C8×Dic86C2211yescharacteristic
160C8×Dic86C2211yescharacteristic
161#14583023C2211yescharacteristic
162#14583023C2211yescharacteristic
163#14583011C2211yescharacteristic
164#14583009C2211yescharacteristic
165#14583008C2211yescharacteristic
166#14583002C2211yescharacteristic
167#14583000C2211yescharacteristic
168#14582997C2211yescharacteristic
169SD16×Dic43C2211yescharacteristic
170SD16×Dic43C2211yescharacteristic
171SD16×Dic43C2211yescharacteristic
172C4×#10621884C2211yescharacteristic
173#14582984C2211yescharacteristic
174#14582984C2211yescharacteristic
175#14582984C2211yescharacteristic
176D8×Dic43C2211yescharacteristic
177D8×Dic43C2211yescharacteristic
178D8×Dic43C2211yescharacteristic
179C4×#10621882C2211yescharacteristic
180#14582979C2211yescharacteristic
181#14582979C2211yescharacteristic
182#14582979C2211yescharacteristic
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582949C2211yescharacteristic
187#14582949C2211yescharacteristic
188C43×#540C2211yescharacteristic
189C43×#520C2211yescharacteristic
190C43×#481C2211yescharacteristic
191C43×#480C2211yescharacteristic
192C43×#479C2211yescharacteristic
193C43×#478C2211yescharacteristic
194C43×#460C2211yescharacteristic
195C43×#459C2211yescharacteristic
196C43×#449C2211yescharacteristic
197C43×#449C2211yescharacteristic
198C43×#442C2211yescharacteristic
199C43×#440C2211yescharacteristic
200C4×SD16×C43C2211yescharacteristic
201C4×D8×C43C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621898—21no—
205C2×#10621900—21no—
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×#10621900—21no—
209C22×Dic86—21no—
210C22×Dic86—21no—
211C22×Dic86—21no—
212C2×#10621884C2311yescharacteristic
213C2×#10621884C2311yescharacteristic
214C2×#10621882C2311yescharacteristic
215C2×#10621882C2311yescharacteristic
216#13063325—21no—
217#13063325—21no—
218#13063325C2311yescharacteristic
219#13063325C2311yescharacteristic
220#13063324—21no—
221#13063324—21no—
222#13063324—21no—
223#13063324—21no—
224#13063324—21no—
225#13063324—21no—
226#13063324—21no—
227#13063324—21no—
228#13063324—21no—
229#13063324—21no—
230#13063324D411yescharacteristic
231#13063324D411yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063324C2311yescharacteristic
238#13063324C2311yescharacteristic
239#13063324C2311yescharacteristic
240#13063322C2311yescharacteristic
241#13063321C2311yescharacteristic
242#13063321C2311yescharacteristic
243#13063321C2311yescharacteristic
244#13063321C2311yescharacteristic
245#13063317—21no—
246#13063317—21no—
247#13063317C2311yescharacteristic
248#13063317C2311yescharacteristic
249#13063317C2311yescharacteristic
250#13063316—21no—
251#13063316—21no—
252#13063316—21no—
253#13063316—21no—
254#13063316D411yescharacteristic
255#13063316D411yescharacteristic
256#13063316C2311yescharacteristic
257#13063316C2311yescharacteristic
258#13063316C2311yescharacteristic
259#13063316C2311yescharacteristic
260#13063311—21no—
261#13063311—21no—
262#13063310—21no—
263#13063310—21no—
264#13063309—21no—
265#13063309—21no—
266#13063307—21no—
267#13063307—21no—
268#13063305—21no—
269#13063305—21no—
270#13063304—21no—
271#13063304—21no—
272#13063304—21no—
273#13063304—21no—
274#13063304—21no—
275#13063304—21no—
276#13063304—21no—
277#13063304—21no—
278#13063303—21no—
279#13063303—21no—
280#13063303—21no—
281#13063303—21no—
282#13063302—21no—
283#13063302—21no—
284#13063302—21no—
285#13063302—21no—
286#13063302—21no—
287#13063302—21no—
288#13063302—21no—
289#13063302—21no—
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302D411yescharacteristic
297#13063302D411yescharacteristic
298#13063302D411yescharacteristic
299#13063302D411yescharacteristic
300#13063299—21no—
301#13063299—21no—
302#13063299C2311yescharacteristic
303#13063299C2311yescharacteristic
304#13063298—21no—
305#13063298—21no—
306#13063298—21no—
307#13063298—21no—
308#13063298—21no—
309#13063298—21no—
310#13063297—21no—
311#13063297—21no—
312#13063297—21no—
313#13063297—21no—
314#13063297—21no—
315#13063297—21no—
316#13063297—21no—
317#13063297—21no—
318#13063296—21no—
319#13063296—21no—
320#13063296—21no—
321#13063296—21no—
322Q8×Dic43C2311yescharacteristic
323Q8×Dic43C2311yescharacteristic
324Q8×Dic43C2311yescharacteristic
325Q8×Dic43C2311yescharacteristic
326C4×Dic86—21no—
327C4×Dic86—21no—
328C4×Dic86—21no—
329C4×Dic86—21no—
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333C4×Dic86C2311yescharacteristic
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336D4×Dic43—21no—
337D4×Dic43—21no—
338D4×Dic43—21no—
339D4×Dic43—21no—
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343D4×Dic43C2311yescharacteristic
344D4×Dic43C2311yescharacteristic
345D4×Dic43C2311yescharacteristic
346D4×Dic43C2311yescharacteristic
347D4×Dic43C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354#13063284—21no—
355#13063284—21no—
356#13063284C2311yescharacteristic
357#13063284C2311yescharacteristic
358C2×C4⋊Dic43—21no—
359C2×C4⋊Dic43C2311yescharacteristic
360C2×Dic43⋊C4—21no—
361C2×Dic43⋊C4—21no—
362C2×Dic43⋊C4—21no—
363C2×Dic43⋊C4—21no—
364C2×Dic43⋊C4—21no—
365C4⋊C4×D43—21no—
366C4⋊C4×D43—21no—
367C2×C4×Dic43—21no—
368C2×C4×Dic43C2311yescharacteristic
369#13063259C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063259C2311yescharacteristic
372#13063259C2311yescharacteristic
373#13063258C2311yescharacteristic
374#13063258C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063257C2311yescharacteristic
380#13063257C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063256C2311yescharacteristic
384#13063256C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390C4⋊(C43⋊C8)C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063249C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063247C2311yescharacteristic
402#13063247C2311yescharacteristic
403#13063247C2311yescharacteristic
404#13063247C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063246C2311yescharacteristic
410#13063246C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
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#13063236C2311yescharacteristic
426#13063235C2311yescharacteristic
427#13063235C2311yescharacteristic
428C4×C43⋊C8C2311yescharacteristic
429C8×Dic43C2311yescharacteristic
430C8×Dic43C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×#41×C43C2311yescharacteristic
436C2×SD16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C2×D8×C43C2311yescharacteristic
439C2×D8×C43C2311yescharacteristic
440#127×C43C2311yescharacteristic
441#125×C43C2311yescharacteristic
442#123×C43—21no—
443#123×C43—21no—
444#121×C43—21no—
445#121×C43—21no—
446#121×C43C2311yescharacteristic
447#121×C43C2311yescharacteristic
448C4×Q8×C43C2311yescharacteristic
449C4×Q8×C43C2311yescharacteristic
450C4×D4×C43—21no—
451C4×D4×C43—21no—
452C4×D4×C43C2311yescharacteristic
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456#117×C43—21no—
457#117×C43C2311yescharacteristic
458C2×C4⋊C4×C43—21no—
459C2×C4⋊C4×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478#41×C43—22no—
479#41×C43—22no—
480C2×Q8×C43C2411yescharacteristic
481C2×D4×C43—21no—
482C2×D4×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43C2411yescharacteristic
487C2×D4×C43C2411yescharacteristic
488C2×D4×C43C2411yescharacteristic
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43C2411yescharacteristic
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43C2×D411yescharacteristic
516C22×Dic43C2×D411yescharacteristic
517#10621900—82no—
518#10621900—82no—
519#10621900—82no—
520#10621900—82no—
521#10621898—82no—
522#10621898—82no—
523C2×D172—21no—
524C2×D172—21no—
525C2×D172C2411yescharacteristic
526C2×D172C2411yescharacteristic
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86—21no—
537C2×Dic86—21no—
538C2×Dic86—21no—
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—82no—
544C2×Dic86—82no—
545C2×Dic86—82no—
546C2×Dic86C2×D411yescharacteristic
547C2×Dic86C2×D411yescharacteristic
548C2×Dic86C2×D411yescharacteristic
549C2×Dic86C2×D411yescharacteristic
550SD16×C43—22no—
551SD16×C43—22no—
552D8×C43—22no—
553D8×C43—22no—
554C2×C8×C43C2411yescharacteristic
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43C2×D411yescharacteristic
564C4⋊C4×C43C2×D411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43C2×D411yescharacteristic
576C22⋊C4×C43C2×D411yescharacteristic
577C42×C43—21no—
578C42×C43—21no—
579C42×C43C2411yescharacteristic
580C42×C43C2411yescharacteristic
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43C2×D411yescharacteristic
591C22⋊Dic43C2×D411yescharacteristic
592#10621884—22no—
593#10621884—22no—
594#10621882—22no—
595#10621882—22no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604C4⋊Dic43—21no—
605C4⋊Dic43—21no—
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43C2×D411yescharacteristic
616C4⋊Dic43C2×D411yescharacteristic
617C4⋊Dic43C2×D411yescharacteristic
618C4⋊Dic43C2×D411yescharacteristic
619C4⋊Dic43C2×D411yescharacteristic
620C4⋊Dic43C2×D411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43C2×D411yescharacteristic
659C4×Dic43C2×D411yescharacteristic
660C4×Dic43C2411yescharacteristic
661C4×Dic43C2411yescharacteristic
662C4×Dic43C2411yescharacteristic
663C4×Dic43C2411yescharacteristic
664C2×C43⋊C8C2411yescharacteristic
665C2×C43⋊C8C2411yescharacteristic
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C23×C43—21no—
669C23×C43—21no—
670C23×C43—21no—
671C23×C43C22×D411yescharacteristic
672C22×D43—21no—
673C22×D43—21no—
674Q8×C43—21no—
675Q8×C432−1+412yes—
676D4×C43—24no—
677D4×C43—21no—
678D4×C43—21no—
679D4×C43—21no—
680D4×C43—21no—
681D4×C43—21no—
682D4×C43—81no—
683D4×C43—81no—
684D4×C43—81no—
685D4×C43—81no—
686D4×C432−1+412yes—
687C2×C4×C43—24no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—81no—
696C2×C4×C43—81no—
697C2×C4×C43—81no—
698C2×C4×C43—81no—
699C2×C4×C43—81no—
700C2×C4×C43C22×D411yescharacteristic
701C2×C4×C43C22×D411yescharacteristic
702C2×C4×C43C22×D411yescharacteristic
703C2×C4×C43C22×D411yescharacteristic
704C2×C4×C43C22×D411yescharacteristic
705C2×C4×C43C2511yescharacteristic
706C22⋊D43—42no—
707C22⋊D43—42no—
708C22⋊D43—81no—
709C22⋊D43—81no—
710C22⋊D43—81no—
711C22⋊D43—81no—
712C22⋊D43—81no—
713C22⋊D43—81no—
714C22⋊D43—81no—
715C22⋊D43—81no—
716C2×Dic43—22no—
717C2×Dic43—22no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—42no—
725C2×Dic43—42no—
726C2×Dic43—42no—
727C2×Dic43—42no—
728C2×Dic43—81no—
729C2×Dic43—81no—
730C2×Dic43—81no—
731C2×Dic43—81no—
732C2×Dic43—81no—
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735C2×Dic43C22×D411yescharacteristic
736C2×Dic43C22×D411yescharacteristic
737C2×Dic43C22×D411yescharacteristic
738C2×Dic43C22×D411yescharacteristic
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741D172—21no—
742D172—21no—
743D172—21no—
744D172—21no—
745D172—81no—
746D172—81no—
747C4×D43—42no—
748C4×D43—42no—
749C4×D43—81no—
750C4×D43—81no—
751C4×D43—81no—
752C4×D43—81no—
753Dic86—22no—
754Dic86—22no—
755Dic86—22no—
756Dic86—22no—
757Dic86—42no—
758Dic86—42no—
759Dic86—81no—
760Dic86—81no—
761Dic86—81no—
762Dic86—81no—
763Dic86—81no—
764Dic86—81no—
765Dic86—81no—
766Dic86—81no—
767C8×C43—21no—
768C8×C43—21no—
769C8×C43—21no—
770C8×C43—21no—
771C43⋊C8—21no—
772C43⋊C8—21no—
773C43⋊C8—21no—
774C43⋊C8—21no—
775#61868—431nomaximal, Sylow
776C22×C43—22no—
777C22×C43—21no—
778C22×C43—21no—
779C22×C43—21no—
780C22×C43—41no—
781C22×C43—41no—
782C22×C43—41no—
783C22×C43—41no—
784C22×C43—41no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43—41no—
788C22×C43C23×D411yescharacteristic
789C2×D43—41no—
790C2×D43—41no—
791C2×D43—41no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C4×C43—21no—
796C4×C43—22no—
797C4×C43—21no—
798C4×C43—21no—
799C4×C43—21no—
800C4×C43—21no—
801C4×C43—41no—
802C4×C43—41no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43C2×2−1+411yescharacteristic
806C4×C43C2×2−1+411yescharacteristic
807Dic43—21no—
808Dic43—21no—
809Dic43—21no—
810Dic43—21no—
811Dic43—21no—
812Dic43—21no—
813Dic43—41no—
814Dic43—41no—
815Dic43—41no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819Dic43#57612yes—
820Dic43#57712yes—
821#3548—431no—
822#3503—431no—
823#3385—431no—
824#3385—431no—
825#3384—431no—
826#3384—431no—
827#3381—431no—
828#3381—431no—
829#3380—431no—
830#3380—431no—
831#3368—431no—
832#3368—431no—
833#3366—431no—
834#3366—431no—
835#3362—431no—
836#3362—431no—
837#3358—431no—
838#3358—431no—
839#3241—431no—
840#3241—431no—
841#3241—431no—
842#3241—431no—
843#3227—431no—
844#3226—431no—
845#3119—431no—
846#3119—431no—
847#3119—431no—
848#3119D4311yescharacteristic, complemented
849#3106—431no—
850#3106—431no—
851#2986—431no—
852C2×C43—41no—
853C2×C43—42no—
854C2×C43—81no—
855C2×C43—81no—
856C2×C43#348611yescharacteristic
857C2×C43C2×#57611yescharacteristic
858C2×C43C2×#57711yescharacteristic
859D43—81no—
860D43—81no—
861#562—861no—
862#562—861no—
863Q82—431no—
864Q82—431no—
865#557—431no—
866#557—431no—
867#554—431no—
868#554—431no—
869#554—431no—
870#554—431no—
871#554—431no—
872#554—431no—
873#554—861no—
874#554—861no—
875#550—431no—
876#550—431no—
877#550—431no—
878#550—431no—
879D4×Q8—431no—
880D4×Q8—431no—
881D4×Q8—861no—
882D4×Q8—861no—
883#547—861no—
884#547—861no—
885#544—431no—
886#544—431no—
887#544—861no—
888#544—861no—
889#540—431no—
890#540—431no—
891#540—431no—
892#540C2×D4311yescharacteristic
893#537—861no—
894#537—861no—
895#537—861no—
896#537—861no—
897#533—431no—
898#533—861no—
899#532—431no—
900#532—431no—
901C2×C4⋊Q8—431no—
902C2×C4⋊Q8—861no—
903#520—431no—
904#520C2×D4311yescharacteristic
905C4×#41—431no—
906#501—431no—
907#501—431no—
908#501—431no—
909#501—431no—
910#500—431no—
911#500—431no—
912#499—431no—
913#499—431no—
914#499—431no—
915#499—431no—
916#498—431no—
917#498—431no—
918#490—431no—
919#490—431no—
920#490—431no—
921#490—431no—
922#486—431no—
923#486—431no—
924#486—431no—
925#486—431no—
926#486—431no—
927#486—431no—
928#486—431no—
929#486—431no—
930#482—431no—
931#482—431no—
932#482—431no—
933#482—431no—
934#481—431no—
935#481—431no—
936#481—431no—
937#481C2×D4311yescharacteristic
938#480—431no—
939#480—431no—
940#480—431no—
941#480C2×D4311yescharacteristic
942#479—431no—
943#479—431no—
944#479—431no—
945#479C2×D4311yescharacteristic
946#478—431no—
947#478—431no—
948#478—431no—
949#478—431no—
950#478—431no—
951#478—431no—
952#478—431no—
953#478—431no—
954#478—431no—
955#478—431no—
956#478—431no—
957#478C2×D4311yescharacteristic
958#477—431no—
959#477—431no—
960#476—431no—
961#476—431no—
962#476—431no—
963#476—431no—
964#476—431no—
965#476—431no—
966#476—431no—
967#476—431no—
968#476—431no—
969#476—431no—
970#474—431no—
971#474—431no—
972#474—431no—
973#474—431no—
974#474—431no—
975#474—431no—
976#474—431no—
977#474—431no—
978#460—431no—
979#460—431no—
980#460—431no—
981#460—431no—
982#460—431no—
983#460C2×D4311yescharacteristic
984#459—431no—
985#459—431no—
986#459—431no—
987#459—431no—
988#459—431no—
989#459C2×D4311yescharacteristic
990#449—431no—
991#449—431no—
992#449C2×D4311yescharacteristic
993#449C2×D4311yescharacteristic
994#446—431no—
995#446—431no—
996#446—431no—
997#446—431no—
998C8×Q8—431no—
999C8×Q8—431no—
1000C8×Q8—431no—
1001C8×Q8—431no—
1002#442—431no—
1003#442—431no—
1004#442—431no—
1005#442C2×D4311yescharacteristic
1006#440—431no—
1007#440—431no—
1008#440—431no—
1009#440C2×D4311yescharacteristic
1010C4×SD16—431no—
1011C4×SD16—431no—
1012C4×SD16—431no—
1013C4×SD16—431no—
1014C4×SD16—431no—
1015C4×SD16—431no—
1016C4×SD16—431no—
1017C4×SD16C2×D4311yescharacteristic
1018C4×D8—431no—
1019C4×D8—431no—
1020C4×D8—431no—
1021C4×D8—431no—
1022C4×D8—431no—
1023C4×D8—431no—
1024C4×D8—431no—
1025C4×D8C2×D4311yescharacteristic
1026#433—431no—
1027#433—431no—
1028#433—431no—
1029#433C2×D4311yescharacteristic
1030#431—431no—
1031#431—431no—
1032C43#6186811yescharacteristic, complemented, Sylow
1033C2×#41—861no—
1034C2×#41—861no—
1035C2×#41—861no—
1036C2×#41—861no—
1037C2×#41—861no—
1038C2×#41—861no—
1039C2×#41C22×D4311yescharacteristic
1040C22×Q8—861no—
1041C22×Q8—861no—
1042C22×Q8—861no—
1043C2×SD16—431no—
1044C2×SD16—431no—
1045C2×SD16C22×D4311yescharacteristic
1046C2×SD16C22×D4311yescharacteristic
1047C2×D8—431no—
1048C2×D8—431no—
1049C2×D8C22×D4311yescharacteristic
1050C2×D8C22×D4311yescharacteristic
1051C4⋊Q8—431no—
1052C4⋊Q8—431no—
1053C4⋊Q8—431no—
1054C4⋊Q8—431no—
1055C4⋊Q8—431no—
1056C4⋊Q8—431no—
1057C4⋊Q8—431no—
1058C4⋊Q8—431no—
1059C4⋊Q8—431no—
1060C4⋊Q8—431no—
1061C4⋊Q8—431no—
1062C4⋊Q8—431no—
1063C4⋊Q8—861no—
1064C4⋊Q8—861no—
1065C4⋊Q8—861no—
1066C4⋊Q8—861no—
1067C4⋊Q8—861no—
1068C4⋊Q8—861no—
1069C4⋊Q8—861no—
1070C4⋊Q8—861no—
1071C4⋊Q8—861no—
1072C4⋊Q8—861no—
1073C4⋊Q8—861no—
1074C4⋊Q8—861no—
1075#127—431no—
1076#127—431no—
1077#127—431no—
1078#127—431no—
1079#127—431no—
1080#127C22×D4311yescharacteristic
1081#125—431no—
1082#125—431no—
1083#125—431no—
1084#125—431no—
1085#125—431no—
1086#125—431no—
1087#125—431no—
1088#125—431no—
1089#125—431no—
1090#125—861no—
1091#125—861no—
1092#125—861no—
1093#125—861no—
1094#125—861no—
1095#125—861no—
1096#125C22×D4311yescharacteristic
1097#124—861no—
1098#124—861no—
1099#123—21no—
1100#123—21no—
1101#123—861no—
1102#123—861no—
1103#123—861no—
1104#123—861no—
1105#123—861no—
1106#123—861no—
1107C22⋊Q8—431no—
1108C22⋊Q8—431no—
1109C22⋊Q8—431no—
1110C22⋊Q8—431no—
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⋊Q8—861no—
1122C22⋊Q8—861no—
1123C22⋊Q8—861no—
1124C22⋊Q8—861no—
1125C22⋊Q8—861no—
1126C22⋊Q8—861no—
1127C22⋊Q8—861no—
1128C22⋊Q8—861no—
1129C22⋊Q8—861no—
1130C22⋊Q8—861no—
1131C22⋊Q8—861no—
1132C22⋊Q8—861no—
1133C22⋊Q8—861no—
1134C22⋊Q8—861no—
1135C22⋊Q8—861no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139#121—21no—
1140#121—21no—
1141#121—431no—
1142#121—431no—
1143#121—861no—
1144#121—861no—
1145#121—861no—
1146#121—861no—
1147#121—861no—
1148#121—861no—
1149#121—861no—
1150#121—861no—
1151#121—861no—
1152#121—861no—
1153#121—861no—
1154#121—861no—
1155#121—861no—
1156#121—861no—
1157#121—861no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121C22×D4311yescharacteristic
1164#121C22×D4311yescharacteristic
1165C4×Q8—431no—
1166C4×Q8—431no—
1167C4×Q8—431no—
1168C4×Q8—431no—
1169C4×Q8—431no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—861no—
1174C4×Q8—861no—
1175C4×Q8—861no—
1176C4×Q8—861no—
1177C4×Q8C22×D4311yescharacteristic
1178C4×Q8C22×D4311yescharacteristic
1179C4×D4—21no—
1180C4×D4—21no—
1181C4×D4—431no—
1182C4×D4—431no—
1183C4×D4—431no—
1184C4×D4—431no—
1185C4×D4—431no—
1186C4×D4—431no—
1187C4×D4—431no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—431no—
1194C4×D4—431no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4C22×D4311yescharacteristic
1202C4×D4C22×D4311yescharacteristic
1203C4×D4C22×D4311yescharacteristic
1204C4×D4C22×D4311yescharacteristic
1205#117—21no—
1206#117—431no—
1207#117—431no—
1208#117—861no—
1209#117—861no—
1210#117C22×D4311yescharacteristic
1211C2×C4⋊C4—21no—
1212C2×C4⋊C4—431no—
1213C2×C4⋊C4—861no—
1214C2×C4⋊C4—861no—
1215C2×C4⋊C4—861no—
1216C2×C4⋊C4—861no—
1217C2×C4⋊C4—861no—
1218C2×C4⋊C4—861no—
1219C2×C4⋊C4—861no—
1220C2×C4⋊C4—861no—
1221C2×C4⋊C4C22×D4311yescharacteristic
1222C2×C42—431no—
1223C2×C42—861no—
1224#107—431no—
1225#107—431no—
1226#107—431no—
1227#107—431no—
1228#107—431no—
1229#107—431no—
1230#107—431no—
1231#107—431no—
1232#107—431no—
1233#107—431no—
1234#107C22×D4311yescharacteristic
1235#107C22×D4311yescharacteristic
1236#106—431no—
1237#106—431no—
1238#106—431no—
1239#106—431no—
1240#106—431no—
1241#106—431no—
1242#106—431no—
1243#106—431no—
1244#106—431no—
1245#106—431no—
1246#106C22×D4311yescharacteristic
1247#106C22×D4311yescharacteristic
1248C4⋊C8—431no—
1249C4⋊C8—431no—
1250C4⋊C8—431no—
1251C4⋊C8—431no—
1252C4⋊C8—431no—
1253C4⋊C8—431no—
1254C4⋊C8—431no—
1255C4⋊C8—431no—
1256C4⋊C8—431no—
1257C4⋊C8—431no—
1258C4⋊C8C22×D4311yescharacteristic
1259C4⋊C8C22×D4311yescharacteristic
1260#103—431no—
1261#103—431no—
1262#103C22×D4311yescharacteristic
1263#103C22×D4311yescharacteristic
1264#102—431no—
1265#102—431no—
1266#102—431no—
1267#102—431no—
1268#102—431no—
1269#102—431no—
1270#102—431no—
1271#102—431no—
1272#102—431no—
1273#102—431no—
1274#102—431no—
1275#102—431no—
1276#102—431no—
1277#102—431no—
1278#102—431no—
1279#102—431no—
1280#102—431no—
1281#102—431no—
1282#102—431no—
1283#102—431no—
1284#102—431no—
1285#102—431no—
1286#102C22×D4311yescharacteristic
1287#102C22×D4311yescharacteristic
1288#102C22×D4311yescharacteristic
1289#102C22×D4311yescharacteristic
1290#102C22×D4311yescharacteristic
1291#102C22×D4311yescharacteristic
1292C22⋊C8—431no—
1293C22⋊C8—431no—
1294C22⋊C8C22×D4311yescharacteristic
1295C22⋊C8C22×D4311yescharacteristic
1296#97—431no—
1297#97—431no—
1298#97—431no—
1299#97C22×D4311yescharacteristic
1300C4×C8—431no—
1301C4×C8—431no—
1302C4×C8—431no—
1303C4×C8—431no—
1304C4×C8—431no—
1305C4×C8—431no—
1306C4×C8—431no—
1307C4×C8C22×D4311yescharacteristic
1308#41—22no—
1309#41—22no—
1310#41—3442no—
1311#41—3442no—
1312#41—3442no—
1313#41—3442no—
1314#41—3442no—
1315#41—3442no—
1316C2×Q8—431no—
1317C2×Q8—431no—
1318C2×Q8—431no—
1319C2×Q8—431no—
1320C2×Q8—861no—
1321C2×Q8—861no—
1322C2×Q8—861no—
1323C2×Q8—861no—
1324C2×Q8—861no—
1325C2×Q8—861no—
1326C2×Q8—861no—
1327C2×Q8—861no—
1328C2×Q8—861no—
1329C2×Q8—861no—
1330C2×Q8—3442no—
1331C2×Q8—3442no—
1332C2×Q8—3442no—
1333C2×Q8C23×D4311yescharacteristic
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—431no—
1340C2×D4—431no—
1341C2×D4—861no—
1342C2×D4—861no—
1343C2×D4—861no—
1344C2×D4—861no—
1345C2×D4—861no—
1346C2×D4—861no—
1347C2×D4—861no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—861no—
1351C2×D4—861no—
1352C2×D4—861no—
1353C2×D4C23×D4311yescharacteristic
1354C2×D4C23×D4311yescharacteristic
1355C2×D4C23×D4311yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—431no—
1363C22×C4—431no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—861no—
1375C22×C4—861no—
1376C22×C4—861no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4C23×D4311yescharacteristic
1380SD16—22no—
1381SD16—22no—
1382SD16—862no—
1383SD16—862no—
1384D8—22no—
1385D8—22no—
1386D8—862no—
1387D8—862no—
1388C2×C8—431no—
1389C2×C8—431no—
1390C2×C8—431no—
1391C2×C8—431no—
1392C2×C8C23×D4311yescharacteristic
1393C2×C8C23×D4311yescharacteristic
1394C2×C8C23×D4311yescharacteristic
1395C2×C8C23×D4311yescharacteristic
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—431no—
1402C4⋊C4—431no—
1403C4⋊C4—431no—
1404C4⋊C4—431no—
1405C4⋊C4—431no—
1406C4⋊C4—431no—
1407C4⋊C4—431no—
1408C4⋊C4—431no—
1409C4⋊C4—431no—
1410C4⋊C4—431no—
1411C4⋊C4—431no—
1412C4⋊C4—431no—
1413C4⋊C4—431no—
1414C4⋊C4—431no—
1415C4⋊C4—431no—
1416C4⋊C4—431no—
1417C4⋊C4—431no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
1420C4⋊C4—431no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4D4×D4311yescharacteristic
1451C4⋊C4D4×D4311yescharacteristic
1452C4⋊C4C23×D4311yescharacteristic
1453C4⋊C4C23×D4311yescharacteristic
1454C4⋊C4C23×D4311yescharacteristic
1455C4⋊C4C23×D4311yescharacteristic
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—431no—
1463C22⋊C4—431no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4D4×D4311yescharacteristic
1482C22⋊C4D4×D4311yescharacteristic
1483C42—21no—
1484C42—21no—
1485C42—431no—
1486C42—431no—
1487C42—431no—
1488C42—431no—
1489C42—431no—
1490C42—431no—
1491C42—861no—
1492C42—861no—
1493C42—861no—
1494C42—861no—
1495C42—861no—
1496C42C23×D4311yescharacteristic
1497C42C23×D4311yescharacteristic
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—861no—
1502C23—861no—
1503C23C2×D4×D4311yescharacteristic
1504Q8—21no—
1505Q8—862no—
1506Q8—862no—
1507Q8—862no—
1508Q8—862no—
1509Q8—3441no—
1510Q8—3441no—
1511Q8—3441no—
1512Q8—3441no—
1513Q8—3441no—
1514Q8—3441no—
1515Q8—3441no—
1516Q8—3441no—
1517Q8—1722no—
1518Q8—1722no—
1519Q8#1306337212yes—
1520D4—24no—
1521D4—21no—
1522D4—21no—
1523D4—21no—
1524D4—21no—
1525D4—21no—
1526D4—81no—
1527D4—81no—
1528D4—81no—
1529D4—81no—
1530D4—861no—
1531D4—861no—
1532D4—861no—
1533D4—861no—
1534D4—3441no—
1535D4—3441no—
1536D4—3441no—
1537D4—3441no—
1538D4—3441no—
1539D4—3441no—
1540D4—3441no—
1541D4—3441no—
1542D4—3441no—
1543D4—3441no—
1544D4—1722no—
1545D4—1722no—
1546D4#1306337212yes—
1547C2×C4—24no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—81no—
1556C2×C4—81no—
1557C2×C4—81no—
1558C2×C4—81no—
1559C2×C4—81no—
1560C2×C4—431no—
1561C2×C4—431no—
1562C2×C4—431no—
1563C2×C4—431no—
1564C2×C4—431no—
1565C2×C4—431no—
1566C2×C4—431no—
1567C2×C4—431no—
1568C2×C4—862no—
1569C2×C4—862no—
1570C2×C4—861no—
1571C2×C4—861no—
1572C2×C4—861no—
1573C2×C4—861no—
1574C2×C4—861no—
1575C2×C4—861no—
1576C2×C4—3441no—
1577C2×C4—3441no—
1578C2×C4—3441no—
1579C2×C4—3441no—
1580C2×C4—3441no—
1581C2×C4—3441no—
1582C2×C4—3441no—
1583C2×C4—3441no—
1584C2×C4—3441no—
1585C2×C4—1722no—
1586C2×C4—1722no—
1587C2×C4—1722no—
1588C2×C4—1722no—
1589C2×C4—1722no—
1590C2×C4—1722no—
1591C2×C4C2×D4×D4311yescharacteristic
1592C2×C4C2×D4×D4311yescharacteristic
1593C2×C4C2×D4×D4311yescharacteristic
1594C2×C4C2×D4×D4311yescharacteristic
1595C2×C4C2×D4×D4311yescharacteristic
1596C2×C4C24×D4311yescharacteristic
1597C8—21no—
1598C8—21no—
1599C8—21no—
1600C8—21no—
1601C8—861no—
1602C8—861no—
1603C8—861no—
1604C8—861no—
1605C22—21no—
1606C22—21no—
1607C22—21no—
1608C22—22no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—1721no—
1618C22—1721no—
1619C22—1721no—
1620C22—1721no—
1621C22—1721no—
1622C22—1721no—
1623C22C22×D4×D4311yescharacteristic
1624C4—21no—
1625C4—21no—
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—22no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—432no—
1635C4—432no—
1636C4—861no—
1637C4—861no—
1638C4—861no—
1639C4—861no—
1640C4—861no—
1641C4—861no—
1642C4—1721no—
1643C4—1721no—
1644C4—1721no—
1645C4—1721no—
1646C4—1721no—
1647C4—1721no—
1648C4C2×#1306337211yescharacteristic
1649C4C2×#1306337211yescharacteristic
1650C2—41no—
1651C2—42no—
1652C2—81no—
1653C2—81no—
1654C2—3441no—
1655C2—3441no—
1656C2#1914824211yescharacteristic
1657C2#576×D4311yescharacteristic
1658C2#577×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3119C2
socleC22×C43C23×D4
hypercenter#3119D43
hypocenterC43#61868
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3119

Complements

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

NH ≅ G/Ntype
1. #19148989C2semidirect
2. #19148408C2semidirect
3. #19147508C2semidirect
4. #19147506C2semidirect
5. #19147497C2semidirect
6. #19147495C2semidirect
7. #19147473C2semidirect
8. #19147471C2semidirect
9. #19147462C2semidirect
10. #19147457C2semidirect
11. #19147325C2semidirect
12. #19147319C2semidirect
13. #19147303C2semidirect
14. #19147297C2semidirect
15. #19147264C2semidirect
16. #19147261C2semidirect
17. #19147228C2semidirect
18. #19147225C2semidirect
19. #19145852C2semidirect
20. #19145850C2semidirect
21. #19145844C2semidirect
22. #19145842C2semidirect
23. #19145721C2semidirect
24. #19145714C2semidirect
25. #19144795C2semidirect
26. #19144794C2semidirect
27. #19144787C2semidirect
28. #19144648C2semidirect
29. #19144648C2semidirect
30. #19143694C2semidirect
31. C43×#3119C2semidirect
848. #3119D43semidirect
1032. C43#61868semidirect

Maximal subgroups

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

subgroupindex
#191489892
#191484082
#191475082
#191475062
#191474972
#191474952
#191474732
#191474712
#191474622
#191474572
#191473252
#191473192
#191473032
#191472972
#191472642
#191472612
#191472282
#191472252
#191458522
#191458502
#191458442
#191458422
#191457212
#191457142
#191447952
#191447942
#191447872
#191446482
#191436942
C43×#31192
#6186843