Finite Group Databasebeta

← #25987270

Subgroups — #25987270

Order 11008.

1730 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149064C211yesmaximal, characteristic, complemented
2#19148393C211yesmaximal, characteristic, complemented
3#19147554C211yesmaximal, characteristic, complemented
4#19147548C211yesmaximal, characteristic, complemented
5#19147517C211yesmaximal, characteristic, complemented
6#19147489C211yesmaximal, characteristic, complemented
7#19147471C211yesmaximal, characteristic, complemented
8#19147462C211yesmaximal, characteristic, complemented
9#19147461C211yesmaximal, characteristic, complemented
10#19147445C211yesmaximal, characteristic, complemented
11#19147382C211yesmaximal, characteristic, complemented
12#19147349C211yesmaximal, characteristic, complemented
13#19147345C211yesmaximal, characteristic, complemented
14#19147303C211yesmaximal, characteristic, complemented
15#19147253C211yesmaximal, characteristic, complemented
16#19147250C211yesmaximal, characteristic, complemented
17#19147250C211yesmaximal, characteristic, complemented
18#19147228C211yesmaximal, characteristic, complemented
19#19145884C211yesmaximal, characteristic, complemented
20#19145872C211yesmaximal, characteristic, complemented
21#19145850C211yesmaximal, characteristic, complemented
22#19145846C211yesmaximal, characteristic, complemented
23#19145777C211yesmaximal, characteristic, complemented
24#19145729C211yesmaximal, characteristic, complemented
25#19144838C211yesmaximal, characteristic, complemented
26#19144832C211yesmaximal, characteristic, complemented
27#19144780C211yesmaximal, characteristic, complemented
28#19144643C211yesmaximal, characteristic, complemented
29#19144590C211yesmaximal, characteristic, complemented
30#19143694C211yesmaximal, characteristic, complemented
31C43×#3118C211yesmaximal, characteristic, complemented
32#14583646—21no—
33#14583643—21no—
34#14583634C2211yescharacteristic, complemented
35#14583631C2211yescharacteristic, complemented
36#14583631C2211yescharacteristic, complemented
37#14583625C2211yescharacteristic, complemented
38#14583610C2211yescharacteristic, complemented
39#14583608—21no—
40#14583608—21no—
41#14583608C2211yescharacteristic
42#14583608C2211yescharacteristic
43#14583608C2211yescharacteristic
44#14583608C2211yescharacteristic
45#14583608C2211yescharacteristic, complemented
46#14583606—21no—
47#14583606C2211yescharacteristic
48#14583606C2211yescharacteristic
49#14583570C2211yescharacteristic, complemented
50D4×Dic86—21no—
51D4×Dic86C2211yescharacteristic
52D4×Dic86C2211yescharacteristic
53#14583564C2211yescharacteristic, complemented
54#14583557—21no—
55#14583547—21no—
56#14583527C2211yescharacteristic
57#14583527C2211yescharacteristic
58#14583525—21no—
59#14583525—21no—
60#14583522C2211yescharacteristic
61#14583515—21no—
62#14583504C2211yescharacteristic
63#14583502C2211yescharacteristic
64#14583498—21no—
65#14583490—21no—
66#14583472—21no—
67#14583452C2211yescharacteristic
68#14583452C2211yescharacteristic
69#14583444C2211yescharacteristic
70#14583435C2211yescharacteristic
71C2×#13063302—21no—
72C2×#13063302—21no—
73#14583374C2211yescharacteristic
74C2×D4×Dic43C2211yescharacteristic
75#14583308C2211yescharacteristic, complemented
76#14583307C2211yescharacteristic, complemented
77#14583306C2211yescharacteristic, complemented
78#14583305C2211yescharacteristic, complemented
79#14583303C2211yescharacteristic, complemented
80#14583303C2211yescharacteristic, complemented
81#14583302C2211yescharacteristic, complemented
82#14583301C2211yescharacteristic, complemented
83#14583300C2211yescharacteristic, complemented
84#14583299C2211yescharacteristic, complemented
85#14583299C2211yescharacteristic, complemented
86#14583296C2211yescharacteristic, complemented
87#14583264C2211yescharacteristic, complemented
88#14583262C2211yescharacteristic, complemented
89#14583260C2211yescharacteristic, complemented
90#14583258C2211yescharacteristic, complemented
91#14583255C2211yescharacteristic, complemented
92#14583255C2211yescharacteristic, complemented
93#14583255C2211yescharacteristic, complemented
94#14583253C2211yescharacteristic, complemented
95#14583246C2211yescharacteristic, complemented
96#14583244C2211yescharacteristic, complemented
97#14583244C2211yescharacteristic, complemented
98#14583244C2211yescharacteristic, complemented
99#14583237C2211yescharacteristic
100#14583232C2211yescharacteristic
101#14583224C2211yescharacteristic
102#14583224C2211yescharacteristic
103#14583223C2211yescharacteristic
104#14583223C2211yescharacteristic
105#14583220C2211yescharacteristic
106#14583218C2211yescharacteristic
107#14583213C2211yescharacteristic
108#14583210C2211yescharacteristic
109#14583208C2211yescharacteristic, complemented
110#14583206C2211yescharacteristic, complemented
111#14583202C2211yescharacteristic, complemented
112#14583201C2211yescharacteristic
113#14583201C2211yescharacteristic
114#14583201C2211yescharacteristic
115#14583201C2211yescharacteristic, complemented
116#14583201C2211yescharacteristic, complemented
117#14583200C2211yescharacteristic, complemented
118#14583200C2211yescharacteristic, complemented
119#14583199C2211yescharacteristic
120#14583199C2211yescharacteristic
121#14583199C2211yescharacteristic, complemented
122#14583198C2211yescharacteristic, complemented
123#14583198C2211yescharacteristic, complemented
124#14583198C2211yescharacteristic, complemented
125#14583197C2211yescharacteristic
126#14583197C2211yescharacteristic, complemented
127#14583194C2211yescharacteristic, complemented
128#14583192C2211yescharacteristic, complemented
129#14583192C2211yescharacteristic, complemented
130#14583190C2211yescharacteristic, complemented
131#14583188C2211yescharacteristic, complemented
132#14583187C2211yescharacteristic
133#14583187C2211yescharacteristic, complemented
134#14583182C2211yescharacteristic, complemented
135#14583180C2211yescharacteristic, complemented
136#14583179C2211yescharacteristic, complemented
137#14583178C2211yescharacteristic, complemented
138#14583178C2211yescharacteristic, complemented
139#14583178C2211yescharacteristic, complemented
140#14583177C2211yescharacteristic
141#14583177C2211yescharacteristic
142#14583177C2211yescharacteristic
143#14583116C2211yescharacteristic
144#14583116C2211yescharacteristic
145#14583116C2211yescharacteristic
146#14583116C2211yescharacteristic
147#14583094C2211yescharacteristic
148#14583094C2211yescharacteristic
149#14583092C2211yescharacteristic
150#14583092C2211yescharacteristic
151#14583092C2211yescharacteristic
152#14583092C2211yescharacteristic
153#14583033C2211yescharacteristic
154#14583033C2211yescharacteristic
155#14583028C2211yescharacteristic, complemented
156#14583028C2211yescharacteristic, complemented
157#14583027C2211yescharacteristic, complemented
158#14583027C2211yescharacteristic, complemented
159C8×Dic86C2211yescharacteristic, complemented
160C8×Dic86C2211yescharacteristic, complemented
161#14583023C2211yescharacteristic, complemented
162#14583023C2211yescharacteristic, complemented
163#14583011C2211yescharacteristic
164#14583009C2211yescharacteristic
165#14583009C2211yescharacteristic
166#14583008C2211yescharacteristic
167#14583008C2211yescharacteristic
168#14583000C2211yescharacteristic
169SD16×Dic43C2211yescharacteristic
170SD16×Dic43C2211yescharacteristic
171SD16×Dic43C2211yescharacteristic
172D8×Dic43C2211yescharacteristic
173D8×Dic43C2211yescharacteristic
174D8×Dic43C2211yescharacteristic
175C4×#10621882C2211yescharacteristic
176C4×#10621882C2211yescharacteristic
177#14582979C2211yescharacteristic
178#14582979C2211yescharacteristic
179#14582979C2211yescharacteristic
180#14582979C2211yescharacteristic
181#14582979C2211yescharacteristic
182#14582979C2211yescharacteristic
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582949C2211yescharacteristic
187#14582949C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#518C2211yescharacteristic
190C43×#485C2211yescharacteristic
191C43×#482C2211yescharacteristic
192C43×#476C2211yescharacteristic
193C43×#474C2211yescharacteristic
194C43×#463C2211yescharacteristic
195C43×#463C2211yescharacteristic
196C43×#450C2211yescharacteristic
197C43×#447C2211yescharacteristic
198C43×#442C2211yescharacteristic
199C43×#440C2211yescharacteristic
200C4×SD16×C43C2211yescharacteristic
201C4×D8×C43C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621900—21no—
205C22×Dic86—21no—
206C22×Dic86—21no—
207C2×Q8×D43—21no—
208C23×Dic43—21no—
209C2×#10621882C2311yescharacteristic
210C2×#10621882C2311yescharacteristic
211C2×#10621882C2311yescharacteristic
212C2×#10621882C2311yescharacteristic
213#13063325—21no—
214#13063325C2311yescharacteristic
215#13063325C2311yescharacteristic
216#13063324—21no—
217#13063324—21no—
218#13063324D411yescharacteristic
219#13063324D411yescharacteristic
220#13063324C2311yescharacteristic
221#13063324C2311yescharacteristic
222#13063324C2311yescharacteristic
223#13063324C2311yescharacteristic
224#13063324C2311yescharacteristic
225#13063324C2311yescharacteristic
226#13063322C2311yescharacteristic
227#13063321C2311yescharacteristic
228#13063321C2311yescharacteristic
229#13063320—21no—
230#13063320—21no—
231#13063317—21no—
232#13063317—21no—
233#13063317C2311yescharacteristic
234#13063317C2311yescharacteristic
235#13063317C2311yescharacteristic
236#13063316—21no—
237#13063316—21no—
238#13063316D411yescharacteristic
239#13063316D411yescharacteristic
240#13063316C2311yescharacteristic
241#13063316C2311yescharacteristic
242#13063316C2311yescharacteristic
243#13063316C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063316C2311yescharacteristic
246#13063314C2311yescharacteristic
247#13063314C2311yescharacteristic
248#13063313—21no—
249#13063311—21no—
250#13063311—21no—
251#13063311—21no—
252#13063311—21no—
253#13063310—21no—
254#13063310—21no—
255#13063310—21no—
256#13063310—21no—
257#13063309—21no—
258#13063309—21no—
259#13063309—21no—
260#13063309—21no—
261#13063307—21no—
262#13063307—21no—
263#13063307—21no—
264#13063307—21no—
265#13063305—21no—
266#13063305—21no—
267#13063304—21no—
268#13063304—21no—
269#13063304—21no—
270#13063304—21no—
271#13063304—21no—
272#13063304—21no—
273#13063304—21no—
274#13063304—21no—
275#13063304—21no—
276#13063303—21no—
277#13063303—21no—
278#13063302—21no—
279#13063302—21no—
280#13063302—21no—
281#13063302—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#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302D411yescharacteristic
303#13063302D411yescharacteristic
304#13063302D411yescharacteristic
305#13063302D411yescharacteristic
306#13063301—21no—
307#13063301—21no—
308#13063301—21no—
309#13063299—21no—
310#13063299C2311yescharacteristic
311#13063299C2311yescharacteristic
312#13063298—21no—
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063297—21no—
317#13063297—21no—
318#13063296—21no—
319Q8×Dic43C2311yescharacteristic
320Q8×Dic43C2311yescharacteristic
321C4×Dic86—21no—
322C4×Dic86—21no—
323C4×Dic86—21no—
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326C4×Dic86C2311yescharacteristic
327C4×Dic86C2311yescharacteristic
328C4×D172—21no—
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331D4×Dic43—21no—
332D4×Dic43—21no—
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343D4×Dic43C2311yescharacteristic
344D4×Dic43C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353#13063284C2311yescharacteristic
354#13063284C2311yescharacteristic
355#13063283—21no—
356C2×C4⋊Dic43—21no—
357C2×C4⋊Dic43—21no—
358C2×C4⋊Dic43C2311yescharacteristic
359C2×Dic43⋊C4—21no—
360C2×Dic43⋊C4—21no—
361C2×Dic43⋊C4—21no—
362C2×Dic43⋊C4—21no—
363C2×Dic43⋊C4—21no—
364C4⋊C4×D43—21no—
365C2×C22⋊Dic43—21no—
366C2×C22⋊Dic43—21no—
367C2×C22⋊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#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063257C2311yescharacteristic
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#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#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
435C22×D4×C43C2311yescharacteristic
436C2×SD16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C2×D8×C43C2311yescharacteristic
439C2×D8×C43C2311yescharacteristic
440C4⋊Q8×C43C2311yescharacteristic
441#126×C43—21no—
442#124×C43—21no—
443#124×C43C2311yescharacteristic
444#123×C43—21no—
445C22⋊Q8×C43—21no—
446C22⋊Q8×C43C2311yescharacteristic
447#121×C43C2311yescharacteristic
448C4×Q8×C43C2311yescharacteristic
449C4×D4×C43—21no—
450C4×D4×C43—21no—
451C4×D4×C43C2311yescharacteristic
452C4×D4×C43C2311yescharacteristic
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456#117×C43C2311yescharacteristic
457#117×C43C2311yescharacteristic
458C2×C22⋊C4×C43—21no—
459C2×C22⋊C4×C43—21no—
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
478C24×C43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43C2411yescharacteristic
481C2×D4×C43—22no—
482C2×D4×C43—22no—
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43C2411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C2×D4×C43C2411yescharacteristic
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43C2411yescharacteristic
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C22×Dic43—21no—
501C22×Dic43—21no—
502C22×Dic43—21no—
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43—82no—
512C22×Dic43C2×D411yescharacteristic
513C22×Dic43C2×D411yescharacteristic
514Q8×D43—82no—
515#10621900—82no—
516#10621898—82no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172C2411yescharacteristic
520C2×D172C2411yescharacteristic
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—82no—
536C2×Dic86—82no—
537C2×Dic86C2×D411yescharacteristic
538C2×Dic86C2×D411yescharacteristic
539C2×Dic86C2×D411yescharacteristic
540C2×Dic86C2×D411yescharacteristic
541SD16×C43—22no—
542SD16×C43—22no—
543D8×C43—22no—
544D8×C43—22no—
545C2×C8×C43C2411yescharacteristic
546C2×C8×C43C2411yescharacteristic
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43C2×D411yescharacteristic
553C4⋊C4×C43C2×D411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C22⋊C4×C43—21no—
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—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43C2×D411yescharacteristic
569C22⋊C4×C43C2×D411yescharacteristic
570C42×C43—21no—
571C42×C43—21no—
572C42×C43C2411yescharacteristic
573C42×C43C2411yescharacteristic
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43C2×D411yescharacteristic
586C22⋊Dic43C2×D411yescharacteristic
587#10621882—22no—
588#10621882—22no—
589#10621882—22no—
590#10621882—22no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603C4⋊Dic43—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⋊Dic43C2×D411yescharacteristic
615C4⋊Dic43C2×D411yescharacteristic
616C4⋊Dic43C2×D411yescharacteristic
617C4⋊Dic43C2×D411yescharacteristic
618C4⋊Dic43C2×D411yescharacteristic
619C4⋊Dic43C2×D411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43C2×D411yescharacteristic
656C4×Dic43C2×D411yescharacteristic
657C4×Dic43C2411yescharacteristic
658C4×Dic43C2411yescharacteristic
659C4×Dic43C2411yescharacteristic
660C4×Dic43C2411yescharacteristic
661C2×C43⋊C8C2411yescharacteristic
662C2×C43⋊C8C2411yescharacteristic
663C2×C43⋊C8C2411yescharacteristic
664C2×C43⋊C8C2411yescharacteristic
665C23×C43—24no—
666C23×C43—21no—
667C23×C43—21no—
668C23×C43—21no—
669C23×C43—81no—
670C23×C43—81no—
671C23×C43C22×D411yescharacteristic
672C22×D43—21no—
673C22×D43—21no—
674Q8×C43—21no—
675Q8×C43—21no—
676Q8×C43—81no—
677D4×C43—24no—
678D4×C43—21no—
679D4×C43—21no—
680D4×C43—21no—
681D4×C43—21no—
682D4×C43—81no—
683D4×C432−1+412yes—
684D4×C432−1+412yes—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—81no—
693C2×C4×C43—81no—
694C2×C4×C43—81no—
695C2×C4×C43—81no—
696C2×C4×C43—81no—
697C2×C4×C43C22×D411yescharacteristic
698C2×C4×C43C22×D411yescharacteristic
699C2×C4×C43C22×D411yescharacteristic
700C2×C4×C43C22×D411yescharacteristic
701C2×C4×C43C22×D411yescharacteristic
702C2×C4×C43C2511yescharacteristic
703C22⋊D43—42no—
704C22⋊D43—81no—
705C22⋊D43—81no—
706C22⋊D43—81no—
707C22⋊D43—81no—
708C22⋊D43—81no—
709C2×Dic43—22no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—41no—
717C2×Dic43—42no—
718C2×Dic43—42no—
719C2×Dic43—81no—
720C2×Dic43—81no—
721C2×Dic43—81no—
722C2×Dic43—81no—
723C2×Dic43—81no—
724C2×Dic43—81no—
725C2×Dic43—81no—
726C2×Dic43—81no—
727C2×Dic43—81no—
728C2×Dic43C22×D411yescharacteristic
729C2×Dic43C22×D411yescharacteristic
730C2×Dic43C22×D411yescharacteristic
731C2×Dic43C22×D411yescharacteristic
732C2×Dic43C22×D411yescharacteristic
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735C2×Dic43C22×D411yescharacteristic
736D172—21no—
737D172—21no—
738D172—21no—
739D172—21no—
740D172—81no—
741D172—81no—
742C4×D43—42no—
743C4×D43—81no—
744C4×D43—81no—
745C4×D43—81no—
746C4×D43—81no—
747C4×D43—81no—
748Dic86—22no—
749Dic86—22no—
750Dic86—41no—
751Dic86—41no—
752Dic86—42no—
753Dic86—42no—
754Dic86—81no—
755Dic86—81no—
756Dic86—81no—
757Dic86—81no—
758Dic86—81no—
759Dic86—81no—
760C8×C43—21no—
761C8×C43—21no—
762C8×C43—21no—
763C8×C43—21no—
764C43⋊C8—21no—
765C43⋊C8—21no—
766C43⋊C8—21no—
767C43⋊C8—21no—
768#61863—431nomaximal, Sylow
769C22×C43—21no—
770C22×C43—21no—
771C22×C43—22no—
772C22×C43—22no—
773C22×C43—21no—
774C22×C43—41no—
775C22×C43—41no—
776C22×C43—41no—
777C22×C43—41no—
778C22×C43—41no—
779C22×C43—41no—
780C22×C43—41no—
781C22×C43—84no—
782C22×C43C23×D411yescharacteristic
783C2×D43—41no—
784C2×D43—41no—
785C2×D43—41no—
786C2×D43—41no—
787C2×D43—41no—
788C2×D43—41no—
789C4×C43—21no—
790C4×C43—21no—
791C4×C43—21no—
792C4×C43—21no—
793C4×C43—21no—
794C4×C43—41no—
795C4×C43—41no—
796C4×C43—41no—
797C4×C43—41no—
798C4×C43—41no—
799C4×C43C2×2−1+411yescharacteristic
800C4×C43C2×2−1+411yescharacteristic
801Dic43—21no—
802Dic43—21no—
803Dic43—21no—
804Dic43—21no—
805Dic43—21no—
806Dic43—21no—
807Dic43—21no—
808Dic43—41no—
809Dic43—41no—
810Dic43—41no—
811Dic43—41no—
812Dic43—41no—
813Dic43—41no—
814Dic43#57612yes—
815#3554—431no—
816#3501—431no—
817#3389—431no—
818#3389—431no—
819#3386—431no—
820#3384—431no—
821#3381—431no—
822#3380—431no—
823#3380—431no—
824Q8×D8—431no—
825#3373—431no—
826#3370—431no—
827#3370—431no—
828#3366—431no—
829#3361—431no—
830#3361—431no—
831#3361—431no—
832#3358—431no—
833#3243—431no—
834#3243—431no—
835#3241—431no—
836#3241—431no—
837#3233—431no—
838#3228—431no—
839#3122—431no—
840#3122—431no—
841#3118—431no—
842#3118D4311yescharacteristic, complemented
843#3105—431no—
844#3100—431no—
845#2986—431no—
846C2×C43—41no—
847C2×C43—42no—
848C2×C43—42no—
849C2×C43—81no—
850C2×C43#348611yescharacteristic
851C2×C43C2×#57611yescharacteristic
852C2×C43#358411yescharacteristic
853D43—81no—
854D43—81no—
855#562—861no—
856#562—861no—
857#559—431no—
858#559—431no—
859#559—431no—
860#557—431no—
861#554—431no—
862#554—431no—
863#554—431no—
864#554—431no—
865#554—431no—
866#554—431no—
867#554—431no—
868#554—431no—
869#554—861no—
870#554—861no—
871#554—861no—
872#550—431no—
873D4×Q8—431no—
874D4×Q8—431no—
875D4×Q8—431no—
876D4×Q8—861no—
877#548—861no—
878#547—861no—
879#544—431no—
880#544—431no—
881#543—861no—
882#543—861no—
883#542—431no—
884#542—861no—
885#542C2×D4311yescharacteristic
886#540—431no—
887#540—431no—
888#539—861no—
889#539—861no—
890#536—861no—
891#533—431no—
892#533—431no—
893#532—431no—
894#529—431no—
895C2×C22⋊Q8—861no—
896C2×C22⋊Q8—861no—
897#518—431no—
898#518C2×D4311yescharacteristic
899C2×C4×D4—431no—
900#501—431no—
901#501—431no—
902#501—431no—
903#501—431no—
904#500—431no—
905#500—431no—
906#500—431no—
907#499—431no—
908#499—431no—
909#499—431no—
910#499—431no—
911#498—431no—
912#490—431no—
913#490—431no—
914#489—431no—
915#489—431no—
916#488—431no—
917#488—431no—
918#488—431no—
919#488—431no—
920#486—431no—
921#486—431no—
922#486—431no—
923#486—431no—
924#485—431no—
925#485C2×D4311yescharacteristic
926#484—431no—
927#482—431no—
928#482—431no—
929#482—431no—
930#482—431no—
931#482—431no—
932#482C2×D4311yescharacteristic
933#481—431no—
934#480—431no—
935#480—431no—
936#479—431no—
937#479—431no—
938#478—431no—
939#478—431no—
940#478—431no—
941#478—431no—
942#478—431no—
943#478—431no—
944#478—431no—
945#478—431no—
946#478—431no—
947#478—431no—
948#478—431no—
949#478—431no—
950#478—431no—
951#478—431no—
952#478—431no—
953#478—431no—
954#477—431no—
955#477—431no—
956#477—431no—
957#476—431no—
958#476—431no—
959#476—431no—
960#476—431no—
961#476C2×D4311yescharacteristic
962#475—431no—
963#474—431no—
964#474—431no—
965#474—431no—
966#474—431no—
967#474—431no—
968#474—431no—
969#474—431no—
970#474—431no—
971#474C2×D4311yescharacteristic
972#463—431no—
973#463—431no—
974#463—431no—
975#463—431no—
976#463C2×D4311yescharacteristic
977#463C2×D4311yescharacteristic
978#459—431no—
979#459—431no—
980#459—431no—
981#459—431no—
982#459—431no—
983#459—431no—
984#450C2×D4311yescharacteristic
985#447—431no—
986#447—431no—
987#447C2×D4311yescharacteristic
988#446—431no—
989#446—431no—
990#446—431no—
991#446—431no—
992C8×Q8—431no—
993C8×Q8—431no—
994C8×Q8—431no—
995C8×Q8—431no—
996#442—431no—
997#442—431no—
998#442—431no—
999#442—431no—
1000#442—431no—
1001#442C2×D4311yescharacteristic
1002#440—431no—
1003#440C2×D4311yescharacteristic
1004C4×SD16—431no—
1005C4×SD16—431no—
1006C4×SD16—431no—
1007C4×SD16C2×D4311yescharacteristic
1008C4×D8—431no—
1009C4×D8—431no—
1010C4×D8—431no—
1011C4×D8—431no—
1012C4×D8—431no—
1013C4×D8—431no—
1014C4×D8—431no—
1015C4×D8—431no—
1016C4×D8—431no—
1017C4×D8—431no—
1018C4×D8—431no—
1019C4×D8C2×D4311yescharacteristic
1020#433—431no—
1021#433—431no—
1022#433—431no—
1023#433C2×D4311yescharacteristic
1024#431—431no—
1025#431—431no—
1026C43#6186311yescharacteristic, complemented, Sylow
1027C2×#41—861no—
1028C2×#41—861no—
1029C22×Q8—861no—
1030C22×Q8—861no—
1031C22×Q8—861no—
1032C22×D4C22×D4311yescharacteristic
1033C23×C4—861no—
1034C2×SD16C22×D4311yescharacteristic
1035C2×SD16C22×D4311yescharacteristic
1036C2×D8—431no—
1037C2×D8—431no—
1038C2×D8—431no—
1039C2×D8—431no—
1040C2×D8C22×D4311yescharacteristic
1041C2×D8C22×D4311yescharacteristic
1042C4⋊Q8—431no—
1043C4⋊Q8—431no—
1044C4⋊Q8—431no—
1045C4⋊Q8—431no—
1046C4⋊Q8—431no—
1047C4⋊Q8—431no—
1048C4⋊Q8—431no—
1049C4⋊Q8—431no—
1050C4⋊Q8—431no—
1051C4⋊Q8—431no—
1052C4⋊Q8—861no—
1053C4⋊Q8—861no—
1054C4⋊Q8—861no—
1055C4⋊Q8C22×D4311yescharacteristic
1056#127—431no—
1057#127—431no—
1058#127—431no—
1059#126—21no—
1060#126—861no—
1061#126—861no—
1062#125—431no—
1063#125—431no—
1064#125—431no—
1065#125—431no—
1066#125—431no—
1067#125—431no—
1068#125—431no—
1069#125—431no—
1070#125—431no—
1071#125—431no—
1072#125—431no—
1073#125—861no—
1074#125—861no—
1075#125—861no—
1076#125—861no—
1077#124—21no—
1078#124—431no—
1079#124—431no—
1080#124—861no—
1081#124—861no—
1082#124—861no—
1083#124—861no—
1084#124—861no—
1085#124C22×D4311yescharacteristic
1086#123—21no—
1087#123—861no—
1088#123—861no—
1089#123—861no—
1090#123—861no—
1091#123—861no—
1092#123—861no—
1093#123—861no—
1094#123—861no—
1095#123—861no—
1096#123—861no—
1097#123—861no—
1098#123—861no—
1099C22⋊Q8—21no—
1100C22⋊Q8—431no—
1101C22⋊Q8—431no—
1102C22⋊Q8—431no—
1103C22⋊Q8—431no—
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⋊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—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8C22×D4311yescharacteristic
1145#121—431no—
1146#121—431no—
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#121C22×D4311yescharacteristic
1156C4×Q8—431no—
1157C4×Q8—431no—
1158C4×Q8—431no—
1159C4×Q8—431no—
1160C4×Q8—431no—
1161C4×Q8—431no—
1162C4×Q8—861no—
1163C4×Q8—861no—
1164C4×Q8—861no—
1165C4×Q8C22×D4311yescharacteristic
1166C4×D4—21no—
1167C4×D4—21no—
1168C4×D4—431no—
1169C4×D4—431no—
1170C4×D4—431no—
1171C4×D4—431no—
1172C4×D4—431no—
1173C4×D4—431no—
1174C4×D4—431no—
1175C4×D4—431no—
1176C4×D4—431no—
1177C4×D4—431no—
1178C4×D4—431no—
1179C4×D4—431no—
1180C4×D4—431no—
1181C4×D4—431no—
1182C4×D4—431no—
1183C4×D4—431no—
1184C4×D4—861no—
1185C4×D4—861no—
1186C4×D4—861no—
1187C4×D4—861no—
1188C4×D4—861no—
1189C4×D4—861no—
1190C4×D4—861no—
1191C4×D4—861no—
1192C4×D4—861no—
1193C4×D4C22×D4311yescharacteristic
1194C4×D4C22×D4311yescharacteristic
1195C4×D4C22×D4311yescharacteristic
1196C4×D4C22×D4311yescharacteristic
1197C4×D4C22×D4311yescharacteristic
1198#117—431no—
1199#117—431no—
1200#117—861no—
1201#117C22×D4311yescharacteristic
1202#117C22×D4311yescharacteristic
1203C2×C4⋊C4—431no—
1204C2×C4⋊C4—861no—
1205C2×C4⋊C4—861no—
1206C2×C4⋊C4—861no—
1207C2×C4⋊C4—861no—
1208C2×C4⋊C4—861no—
1209C2×C4⋊C4—861no—
1210C2×C4⋊C4—861no—
1211C2×C4⋊C4—861no—
1212C2×C22⋊C4—21no—
1213C2×C22⋊C4—21no—
1214C2×C22⋊C4—861no—
1215C2×C22⋊C4—861no—
1216C2×C22⋊C4—861no—
1217C2×C42—431no—
1218#107—431no—
1219#107—431no—
1220#107—431no—
1221#107—431no—
1222#107—431no—
1223#107—431no—
1224#107—431no—
1225#107—431no—
1226#107—431no—
1227#107—431no—
1228#107—431no—
1229#107—431no—
1230#107C22×D4311yescharacteristic
1231#107C22×D4311yescharacteristic
1232#106—431no—
1233#106—431no—
1234#106—431no—
1235#106—431no—
1236#106—431no—
1237#106—431no—
1238#106—431no—
1239#106—431no—
1240#106C22×D4311yescharacteristic
1241#106C22×D4311yescharacteristic
1242C4⋊C8—431no—
1243C4⋊C8—431no—
1244C4⋊C8—431no—
1245C4⋊C8—431no—
1246C4⋊C8—431no—
1247C4⋊C8—431no—
1248C4⋊C8—431no—
1249C4⋊C8—431no—
1250C4⋊C8—431no—
1251C4⋊C8—431no—
1252C4⋊C8C22×D4311yescharacteristic
1253C4⋊C8C22×D4311yescharacteristic
1254#103—431no—
1255#103—431no—
1256#103—431no—
1257#103—431no—
1258#103C22×D4311yescharacteristic
1259#103C22×D4311yescharacteristic
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#102—431no—
1277#102—431no—
1278#102—431no—
1279#102—431no—
1280#102C22×D4311yescharacteristic
1281#102C22×D4311yescharacteristic
1282#102C22×D4311yescharacteristic
1283#102C22×D4311yescharacteristic
1284#102C22×D4311yescharacteristic
1285#102C22×D4311yescharacteristic
1286C22⋊C8—431no—
1287C22⋊C8—431no—
1288C22⋊C8C22×D4311yescharacteristic
1289C22⋊C8C22×D4311yescharacteristic
1290#97—431no—
1291#97—431no—
1292#97—431no—
1293#97C22×D4311yescharacteristic
1294C4×C8—431no—
1295C4×C8—431no—
1296C4×C8—431no—
1297C4×C8—431no—
1298C4×C8—431no—
1299C4×C8—431no—
1300C4×C8—431no—
1301C4×C8C22×D4311yescharacteristic
1302C24—21no—
1303#41—3442no—
1304#41—3442no—
1305C2×Q8—21no—
1306C2×Q8—431no—
1307C2×Q8—431no—
1308C2×Q8—431no—
1309C2×Q8—431no—
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×Q8C23×D4311yescharacteristic
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—21no—
1325C2×D4—21no—
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×D4—861no—
1336C2×D4C23×D4311yescharacteristic
1337C2×D4C23×D4311yescharacteristic
1338C2×D4C23×D4311yescharacteristic
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
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×C4—861no—
1359C22×C4—861no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—3442no—
1364C22×C4C23×D4311yescharacteristic
1365SD16—22no—
1366SD16—22no—
1367D8—22no—
1368D8—22no—
1369D8—862no—
1370D8—862no—
1371D8—862no—
1372D8—862no—
1373C2×C8—431no—
1374C2×C8—431no—
1375C2×C8—431no—
1376C2×C8—431no—
1377C2×C8C23×D4311yescharacteristic
1378C2×C8C23×D4311yescharacteristic
1379C2×C8C23×D4311yescharacteristic
1380C2×C8C23×D4311yescharacteristic
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—431no—
1385C4⋊C4—431no—
1386C4⋊C4—431no—
1387C4⋊C4—431no—
1388C4⋊C4—431no—
1389C4⋊C4—431no—
1390C4⋊C4—431no—
1391C4⋊C4—431no—
1392C4⋊C4—431no—
1393C4⋊C4—431no—
1394C4⋊C4—431no—
1395C4⋊C4—431no—
1396C4⋊C4—431no—
1397C4⋊C4—431no—
1398C4⋊C4—431no—
1399C4⋊C4—431no—
1400C4⋊C4—431no—
1401C4⋊C4—431no—
1402C4⋊C4—431no—
1403C4⋊C4—431no—
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⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4D4×D4311yescharacteristic
1434C4⋊C4D4×D4311yescharacteristic
1435C4⋊C4C23×D4311yescharacteristic
1436C4⋊C4C23×D4311yescharacteristic
1437C4⋊C4C23×D4311yescharacteristic
1438C4⋊C4C23×D4311yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—431no—
1450C22⋊C4—431no—
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—
1461C22⋊C4—861no—
1462C22⋊C4—861no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4D4×D4311yescharacteristic
1475C22⋊C4D4×D4311yescharacteristic
1476C42—21no—
1477C42—21no—
1478C42—431no—
1479C42—431no—
1480C42—431no—
1481C42—431no—
1482C42—431no—
1483C42—431no—
1484C42—861no—
1485C42—861no—
1486C42—861no—
1487C42C23×D4311yescharacteristic
1488C42C23×D4311yescharacteristic
1489C23—24no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—81no—
1494C23—81no—
1495C23—861no—
1496C23—861no—
1497C23C2×D4×D4311yescharacteristic
1498Q8—21no—
1499Q8—21no—
1500Q8—81no—
1501Q8—862no—
1502Q8—862no—
1503Q8—3441no—
1504Q8—3441no—
1505Q8—3441no—
1506Q8—3441no—
1507Q8—3441no—
1508Q8—3441no—
1509Q8—1721no—
1510Q8—1721no—
1511Q8—1722no—
1512Q8—1722no—
1513D4—24no—
1514D4—21no—
1515D4—21no—
1516D4—21no—
1517D4—21no—
1518D4—81no—
1519D4—861no—
1520D4—861no—
1521D4—861no—
1522D4—861no—
1523D4—3441no—
1524D4—3441no—
1525D4—3441no—
1526D4—3441no—
1527D4—3441no—
1528D4—3441no—
1529D4—3441no—
1530D4—1722no—
1531D4#1306337212yes—
1532D4#1306337212yes—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—81no—
1541C2×C4—81no—
1542C2×C4—81no—
1543C2×C4—81no—
1544C2×C4—81no—
1545C2×C4—431no—
1546C2×C4—431no—
1547C2×C4—431no—
1548C2×C4—431no—
1549C2×C4—431no—
1550C2×C4—431no—
1551C2×C4—431no—
1552C2×C4—431no—
1553C2×C4—862no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—861no—
1557C2×C4—861no—
1558C2×C4—861no—
1559C2×C4—861no—
1560C2×C4—3441no—
1561C2×C4—3441no—
1562C2×C4—3441no—
1563C2×C4—3441no—
1564C2×C4—3441no—
1565C2×C4—3441no—
1566C2×C4—3441no—
1567C2×C4—3441no—
1568C2×C4—3441no—
1569C2×C4—3441no—
1570C2×C4—3441no—
1571C2×C4—3441no—
1572C2×C4—3441no—
1573C2×C4—3441no—
1574C2×C4—1722no—
1575C2×C4—1722no—
1576C2×C4—1722no—
1577C2×C4—1721no—
1578C2×C4C2×D4×D4311yescharacteristic
1579C2×C4C2×D4×D4311yescharacteristic
1580C2×C4C2×D4×D4311yescharacteristic
1581C2×C4C2×D4×D4311yescharacteristic
1582C2×C4C2×D4×D4311yescharacteristic
1583C2×C4C24×D4311yescharacteristic
1584C8—21no—
1585C8—21no—
1586C8—21no—
1587C8—21no—
1588C8—861no—
1589C8—861no—
1590C8—861no—
1591C8—861no—
1592C22—21no—
1593C22—21no—
1594C22—21no—
1595C22—22no—
1596C22—22no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—84no—
1605C22—1721no—
1606C22—1721no—
1607C22—1721no—
1608C22—1721no—
1609C22—1721no—
1610C22—1721no—
1611C22C22×D4×D4311yescharacteristic
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—432no—
1623C4—861no—
1624C4—861no—
1625C4—861no—
1626C4—861no—
1627C4—861no—
1628C4—861no—
1629C4—861no—
1630C4—1721no—
1631C4—1721no—
1632C4—1721no—
1633C4—1721no—
1634C4—1721no—
1635C4—1721no—
1636C4C2×#1306337211yescharacteristic
1637C4C2×#1306337211yescharacteristic
1638C2—41no—
1639C2—42no—
1640C2—42no—
1641C2—81no—
1642C2—3441no—
1643C2—3441no—
1644C2#1914824211yescharacteristic
1645C2#576×D4311yescharacteristic
1646C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3118C2
socleC22×C43C23×D4
hypercenter#3118D43
hypocenterC43#61863
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #19149064C2semidirect
2. #19148393C2semidirect
3. #19147554C2semidirect
4. #19147548C2semidirect
5. #19147517C2semidirect
6. #19147489C2semidirect
7. #19147471C2semidirect
8. #19147462C2semidirect
9. #19147461C2semidirect
10. #19147445C2semidirect
11. #19147382C2semidirect
12. #19147349C2semidirect
13. #19147345C2semidirect
14. #19147303C2semidirect
15. #19147253C2semidirect
16. #19147250C2semidirect
17. #19147250C2semidirect
18. #19147228C2semidirect
19. #19145884C2semidirect
20. #19145872C2semidirect
21. #19145850C2semidirect
22. #19145846C2semidirect
23. #19145777C2semidirect
24. #19145729C2semidirect
25. #19144838C2semidirect
26. #19144832C2semidirect
27. #19144780C2semidirect
28. #19144643C2semidirect
29. #19144590C2semidirect
30. #19143694C2semidirect
31. C43×#3118C2semidirect
34. #14583634C22semidirect
35. #14583631C22semidirect
36. #14583631C22semidirect
37. #14583625C22semidirect
38. #14583610C22semidirect
45. #14583608C22semidirect
49. #14583570C22semidirect
53. #14583564C22semidirect
75. #14583308C22semidirect
76. #14583307C22semidirect
77. #14583306C22semidirect
78. #14583305C22semidirect
79. #14583303C22semidirect
80. #14583303C22semidirect
81. #14583302C22semidirect
82. #14583301C22semidirect
83. #14583300C22semidirect
84. #14583299C22semidirect
85. #14583299C22semidirect
86. #14583296C22semidirect
87. #14583264C22semidirect
88. #14583262C22semidirect
89. #14583260C22semidirect
90. #14583258C22semidirect
91. #14583255C22semidirect
92. #14583255C22semidirect
93. #14583255C22semidirect
94. #14583253C22semidirect
95. #14583246C22semidirect
96. #14583244C22semidirect
97. #14583244C22semidirect
98. #14583244C22semidirect
109. #14583208C22semidirect
110. #14583206C22semidirect
111. #14583202C22semidirect
115. #14583201C22semidirect
116. #14583201C22semidirect
117. #14583200C22semidirect
118. #14583200C22semidirect
121. #14583199C22semidirect
122. #14583198C22semidirect
123. #14583198C22semidirect
124. #14583198C22semidirect
126. #14583197C22semidirect
127. #14583194C22semidirect
128. #14583192C22semidirect
129. #14583192C22semidirect
130. #14583190C22semidirect
131. #14583188C22semidirect
133. #14583187C22semidirect
134. #14583182C22semidirect
135. #14583180C22semidirect
136. #14583179C22semidirect
137. #14583178C22semidirect
138. #14583178C22semidirect
139. #14583178C22semidirect
155. #14583028C22semidirect
156. #14583028C22semidirect
157. #14583027C22semidirect
158. #14583027C22semidirect
159. C8×Dic86C22semidirect
160. C8×Dic86C22semidirect
161. #14583023C22semidirect
162. #14583023C22semidirect
842. #3118D43semidirect
1026. C43#61863semidirect

Maximal subgroups

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

subgroupindex
#191490642
#191483932
#191475542
#191475482
#191475172
#191474892
#191474712
#191474622
#191474612
#191474452
#191473822
#191473492
#191473452
#191473032
#191472532
#191472502
#191472282
#191458842
#191458722
#191458502
#191458462
#191457772
#191457292
#191448382
#191448322
#191447802
#191446432
#191445902
#191436942
C43×#31182
#6186343