Finite Group Databasebeta

← #25993805

Subgroups — #25993805

Order 11008.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149234C211yesmaximal, characteristic, complemented
2#19148536C211yesmaximal, characteristic, complemented
3#19147552C211yesmaximal, characteristic, complemented
4#19147468C211yesmaximal, characteristic, complemented
5#19147360C211yesmaximal, characteristic, complemented
6#19147252C211yesmaximal, characteristic, complemented
7#19147191C211yesmaximal, characteristic, complemented
8#19147153C211yesmaximal, characteristic, complemented
9#19147150C211yesmaximal, characteristic, complemented
10#19147120C211yesmaximal, characteristic, complemented
11#19147035C211yesmaximal, characteristic, complemented
12#19146995C211yesmaximal, characteristic, complemented
13#19146819C211yesmaximal, characteristic, complemented
14#19146797C211yesmaximal, characteristic, complemented
15#19146751C211yesmaximal, characteristic, complemented
16#19146737C211yesmaximal, characteristic, complemented
17#19146423C211yesmaximal, characteristic, complemented
18#19146054C211yesmaximal, characteristic, complemented
19#19146001C211yesmaximal, characteristic, complemented
20#19145997C211yesmaximal, characteristic, complemented
21#19145886C211yesmaximal, characteristic, complemented
22#19145852C211yesmaximal, characteristic, complemented
23#19145777C211yesmaximal, characteristic, complemented
24#19144865C211yesmaximal, characteristic, complemented
25#19144785C211yesmaximal, characteristic, complemented
26#19144643C211yesmaximal, characteristic, complemented
27#19144450C211yesmaximal, characteristic, complemented
28#19144425C211yesmaximal, characteristic, complemented
29#19144389C211yesmaximal, characteristic, complemented
30#19143741C211yesmaximal, characteristic, complemented
31C43×#3323C211yesmaximal, characteristic, complemented
32#14583651—21no—
33#14583646—21no—
34#14583631C2211yescharacteristic
35#14583628C2211yescharacteristic, complemented
36#14583620C2211yescharacteristic
37#14583617—21no—
38#14583614C2211yescharacteristic, complemented
39#14583606C2211yescharacteristic
40#14583605C2211yescharacteristic, complemented
41#14583601—21no—
42#14583601C2211yescharacteristic
43#14583597C2211yescharacteristic, complemented
44#14583593C2211yescharacteristic
45#14583591C2211yescharacteristic
46#14583587—21no—
47#14583583C2211yescharacteristic, complemented
48#14583575—21no—
49#14583572—21no—
50#14583553C2211yescharacteristic
51#14583537C2211yescharacteristic
52#14583536—21no—
53D4×C22⋊D43C2211yescharacteristic
54#14583530C2211yescharacteristic, complemented
55#14583529C2211yescharacteristic, complemented
56#14583522C2211yescharacteristic, complemented
57#14583521C2211yescharacteristic, complemented
58#14583520—21no—
59#14583518C2211yescharacteristic
60#14583515—21no—
61#14583508—21no—
62#14583502C2211yescharacteristic
63#14583493—21no—
64#14583492—21no—
65#14583486—21no—
66#14583452C2211yescharacteristic, complemented
67#14583435C2211yescharacteristic
68#14583435C2211yescharacteristic, complemented
69#14583429C2211yescharacteristic
70#14583405—21no—
71C2×#13063309—21no—
72#14583382C2211yescharacteristic
73#14583371C2211yescharacteristic
74C2×D4×Dic43C2211yescharacteristic
75#14583309C2211yescharacteristic, complemented
76#14583306C2211yescharacteristic, complemented
77#14583300C2211yescharacteristic, complemented
78#14583299C2211yescharacteristic, complemented
79#14583299C2211yescharacteristic, complemented
80#14583297C2211yescharacteristic, complemented
81#14583262C2211yescharacteristic
82#14583258C2211yescharacteristic, complemented
83#14583255C2211yescharacteristic, complemented
84#14583255C2211yescharacteristic, complemented
85#14583244C2211yescharacteristic
86#14583239C2211yescharacteristic, complemented
87#14583238C2211yescharacteristic, complemented
88#14583237C2211yescharacteristic, complemented
89#14583232C2211yescharacteristic, complemented
90#14583228C2211yescharacteristic, complemented
91#14583227C2211yescharacteristic, complemented
92#14583225C2211yescharacteristic, complemented
93#14583224C2211yescharacteristic
94#14583224C2211yescharacteristic, complemented
95#14583223C2211yescharacteristic
96#14583222C2211yescharacteristic
97#14583220C2211yescharacteristic, complemented
98#14583218C2211yescharacteristic, complemented
99#14583218C2211yescharacteristic, complemented
100#14583216C2211yescharacteristic
101#14583212C2211yescharacteristic, complemented
102#14583204C2211yescharacteristic, complemented
103#14583204C2211yescharacteristic, complemented
104#14583204C2211yescharacteristic, complemented
105#14583204C2211yescharacteristic, complemented
106#14583202C2211yescharacteristic, complemented
107#14583201C2211yescharacteristic
108#14583201C2211yescharacteristic
109#14583201C2211yescharacteristic
110#14583201C2211yescharacteristic, complemented
111#14583201C2211yescharacteristic, complemented
112#14583198C2211yescharacteristic, complemented
113#14583198C2211yescharacteristic, complemented
114#14583197C2211yescharacteristic
115#14583197C2211yescharacteristic, complemented
116#14583196C2211yescharacteristic, complemented
117#14583194C2211yescharacteristic, complemented
118#14583192C2211yescharacteristic, complemented
119#14583192C2211yescharacteristic, complemented
120#14583190C2211yescharacteristic, complemented
121#14583188C2211yescharacteristic, complemented
122#14583187C2211yescharacteristic
123#14583187C2211yescharacteristic, complemented
124#14583182C2211yescharacteristic, complemented
125#14583180C2211yescharacteristic, complemented
126#14583179C2211yescharacteristic
127#14583178C2211yescharacteristic, complemented
128#14583177C2211yescharacteristic
129#14583177C2211yescharacteristic
130#14583177C2211yescharacteristic, complemented
131#14583152C2211yescharacteristic
132#14583152C2211yescharacteristic, complemented
133#14583148C2211yescharacteristic, complemented
134#14583147C2211yescharacteristic
135#14583147C2211yescharacteristic, complemented
136#14583142C2211yescharacteristic
137#14583137C2211yescharacteristic, complemented
138#14583134C2211yescharacteristic
139#14583133C2211yescharacteristic, complemented
140#14583130C2211yescharacteristic, complemented
141#14583123C2211yescharacteristic, complemented
142#14583123C2211yescharacteristic, complemented
143#14583117C2211yescharacteristic, complemented
144#14583117C2211yescharacteristic, complemented
145#14583116C2211yescharacteristic
146#14583116C2211yescharacteristic, complemented
147#14583111C2211yescharacteristic, complemented
148#14583097C2211yescharacteristic
149#14583093C2211yescharacteristic
150#14583048C2211yescharacteristic
151#14583044C2211yescharacteristic
152#14583034C2211yescharacteristic
153#14583033C2211yescharacteristic
154#14583028C2211yescharacteristic, complemented
155C8×Dic86C2211yescharacteristic, complemented
156#14583009C2211yescharacteristic
157#14583008C2211yescharacteristic
158#14583006C2211yescharacteristic, complemented
159#14582997C2211yescharacteristic, complemented
160SD16×Dic43C2211yescharacteristic
161SD16×Dic43C2211yescharacteristic
162SD16×Dic43C2211yescharacteristic, complemented
163#14582984C2211yescharacteristic, complemented
164C4×D344C2211yescharacteristic, complemented
165#14582979C2211yescharacteristic
166#14582979C2211yescharacteristic, complemented
167#14582975C2211yescharacteristic, complemented
168#14582974C2211yescharacteristic
169#14582971C2211yescharacteristic, complemented
170#14582968C2211yescharacteristic
171(C22⋊D43)⋊C8C2211yescharacteristic, complemented
172#14582958C2211yescharacteristic, complemented
173#14582957C2211yescharacteristic, complemented
174#14582949C2211yescharacteristic, complemented
175#14582942C2211yescharacteristic, complemented
176#14582941C2211yescharacteristic, complemented
177#14582941C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic, complemented
179#14582934C2211yescharacteristic, complemented
180C2×#13063258C2211yescharacteristic, complemented
181#14582927C2211yescharacteristic, complemented
182#14582924C2211yescharacteristic, complemented
183#14582922C2211yescharacteristic, complemented
184#14582904C2211yescharacteristic
185#14582902C2211yescharacteristic
186#14582895C2211yescharacteristic
187#102×D43C2211yescharacteristic
188C43×#552C2211yescharacteristic, complemented
189C43×#546C2211yescharacteristic
190C43×#488C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#481C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic
194C43×#470C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic
198C43×#450C2211yescharacteristic
199C4×SD16×C43C2211yescharacteristic
200C43×#436C2211yescharacteristic, complemented
201C43×#418C2211yescharacteristic
202C43×#417C2211yescharacteristic
203C2×#10621900—21no—
204C22×C22⋊D43—21no—
205C2×D4×D43C2311yescharacteristic
206C23×Dic43—21no—
207C2×#10621884C2311yescharacteristic
208C2×#10621884C2311yescharacteristic
209C2×D344C2311yescharacteristic
210C2×#10621882C2311yescharacteristic
211C2×#10621882C2311yescharacteristic
212C2×#10621877C2311yescharacteristic
213C2×#10621872C2311yescharacteristic
214C22×C43⋊C8C2311yescharacteristic
215C2×C8×D43C2311yescharacteristic
216#13063325—21no—
217#13063325C2311yescharacteristic
218#13063325C2311yescharacteristic
219#13063324—21no—
220#13063324—21no—
221#13063324C2311yescharacteristic
222#13063324C2311yescharacteristic
223#13063324C2311yescharacteristic
224#13063321C2311yescharacteristic
225#13063320—21no—
226#13063320—21no—
227#13063320—21no—
228#13063320—21no—
229#13063320—21no—
230#13063320—21no—
231#13063320D411yescharacteristic
232#13063319—21no—
233#13063319—21no—
234#13063318—21no—
235#13063318—21no—
236#13063318—21no—
237#13063318—21no—
238#13063318D411yescharacteristic
239#13063316—21no—
240#13063316—21no—
241#13063316—21no—
242#13063316—21no—
243#13063316C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063316C2311yescharacteristic
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063316C2311yescharacteristic
249#13063315—21no—
250#13063315—21no—
251#13063315D411yescharacteristic
252#13063314C2311yescharacteristic
253#13063314C2311yescharacteristic
254#13063313—21no—
255#13063311—21no—
256#13063311—21no—
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311D411yescharacteristic
262#13063310—21no—
263#13063310—21no—
264#13063309—21no—
265#13063309—21no—
266#13063309—21no—
267#13063309—21no—
268#13063309—21no—
269#13063309—21no—
270#13063309—21no—
271#13063309—21no—
272#13063309—21no—
273#13063309D411yescharacteristic
274#13063308—21no—
275#13063307—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063306D411yescharacteristic
281#13063305—21no—
282#13063305—21no—
283#13063305—21no—
284#13063305—21no—
285#13063304—21no—
286#13063304—21no—
287#13063304—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302D411yescharacteristic
298#13063301C2311yescharacteristic
299#13063301C2311yescharacteristic
300#13063300C2311yescharacteristic
301#13063299—21no—
302#13063299C2311yescharacteristic
303#13063299C2311yescharacteristic
304#13063299C2311yescharacteristic
305#13063299C2311yescharacteristic
306#13063298—21no—
307#13063297—21no—
308#13063297—21no—
309#13063297—21no—
310#13063297—21no—
311#13063297D411yescharacteristic
312#13063296—21no—
313#13063296—21no—
314#13063296C2311yescharacteristic
315#13063294—21no—
316#13063293—21no—
317#13063293—21no—
318Q8×Dic43C2311yescharacteristic
319Q8×Dic43C2311yescharacteristic
320Q8×Dic43C2311yescharacteristic
321Q8×Dic43C2311yescharacteristic
322C4×Dic86—21no—
323C4×Dic86—21no—
324C4×Dic86—21no—
325C4×Dic86C2311yescharacteristic
326#13063290—21no—
327C4×D172—21no—
328C4×D172C2311yescharacteristic
329C4×D172C2311yescharacteristic
330D4×Dic43—21no—
331D4×Dic43—21no—
332D4×Dic43—21no—
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340#13063287C2311yescharacteristic
341#13063287C2311yescharacteristic
342#13063287C2311yescharacteristic
343C4×C22⋊D43—21no—
344C4×C22⋊D43—21no—
345C4×C22⋊D43C2311yescharacteristic
346C4×C22⋊D43C2311yescharacteristic
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351#13063284—21no—
352#13063284C2311yescharacteristic
353#13063284C2311yescharacteristic
354#13063284C2311yescharacteristic
355#13063283—21no—
356#13063283—21no—
357#13063283—21no—
358#13063283—21no—
359#13063283C2311yescharacteristic
360#13063283C2311yescharacteristic
361#13063282C2311yescharacteristic
362#13063281—21no—
363C2×C4⋊Dic43—21no—
364C2×C4⋊Dic43—21no—
365C2×C4⋊Dic43C2311yescharacteristic
366C2×C4⋊Dic43C2311yescharacteristic
367C4⋊C4×D43—21no—
368C4⋊C4×D43C2311yescharacteristic
369C2×C22⋊Dic43—21no—
370C2×(C2×D43)⋊C4—21no—
371C2×(C2×D43)⋊C4—21no—
372C22⋊C4×D43—21no—
373C2×C4×Dic43C2311yescharacteristic
374#13063259C2311yescharacteristic
375#13063259C2311yescharacteristic
376#13063259C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063257C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395C4⋊(C43⋊C8)C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427C22⋊(C43⋊C8)C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063235C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×#41×C43C2311yescharacteristic
436C22×D4×C43C2311yescharacteristic
437C2×Q16×C43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441C2×M16×C43C2311yescharacteristic
442#126×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#124×C43C2311yescharacteristic
446#123×C43—21no—
447#123×C43—21no—
448C22⋊Q8×C43C2311yescharacteristic
449C22⋊Q8×C43C2311yescharacteristic
450C22⋊Q8×C43C2311yescharacteristic
451#121×C43—21no—
452#121×C43C2311yescharacteristic
453#120×C43—21no—
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459C2×C4⋊C4×C43C2311yescharacteristic
460C2×C22⋊C4×C43—21no—
461#107×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465#103×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476C22⋊C8×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C24×C43—21no—
479C23×D43—21no—
480#41×C43—22no—
481#41×C43—41no—
482C2×Q8×C43C2411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—22no—
488C2×D4×C43—41no—
489C2×D4×C43C2×D411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43C2411yescharacteristic
496C22×C4×C43C2411yescharacteristic
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—82no—
506C2×C22⋊D43C2×D411yescharacteristic
507C2×C22⋊D43C2×D411yescharacteristic
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—82no—
516C22×Dic43C2×D411yescharacteristic
517C22×Dic43C2×D411yescharacteristic
518#10621900—82no—
519D4×D43—22no—
520D4×D43—41no—
521C2×D172—21no—
522C2×D172C2411yescharacteristic
523C2×D172C2411yescharacteristic
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43C2411yescharacteristic
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86C2×D411yescharacteristic
537Q16×C43—41no—
538SD16×C43—22no—
539SD16×C43—41no—
540M16×C43—41no—
541M16×C43—41no—
542C2×C8×C43C2411yescharacteristic
543C2×C8×C43C2411yescharacteristic
544C2×C8×C43C2411yescharacteristic
545C2×C8×C43C2411yescharacteristic
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43C2×D411yescharacteristic
554C4⋊C4×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×C43C2×D411yescharacteristic
567C22⋊C4×C43C2×D411yescharacteristic
568C42×C43—21no—
569C42×C43—21no—
570C42×C43C2411yescharacteristic
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43C2×D411yescharacteristic
580C22⋊Dic43C2×D411yescharacteristic
581C22⋊Dic43C2×D411yescharacteristic
582C22⋊Dic43C2×D411yescharacteristic
583#10621884—41no—
584#10621884—41no—
585#10621882—22no—
586#10621882—41no—
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)⋊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—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4C2×D411yescharacteristic
606(C2×D43)⋊C4C2×D411yescharacteristic
607(C2×D43)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43C2×D411yescharacteristic
624C4⋊Dic43C2×D411yescharacteristic
625C4⋊Dic43C2×D411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
630C4⋊Dic43C2411yescharacteristic
631C4⋊Dic43C2411yescharacteristic
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
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
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
663#10621877—41no—
664C2×C43⋊C8—41no—
665C2×C43⋊C8C2411yescharacteristic
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669D344—41no—
670#10621872—41no—
671C8×D43—41no—
672C23×C43—21no—
673C23×C43—21no—
674C23×C43—42no—
675C23×C43—42no—
676C23×C43—81no—
677C23×C43C22×D411yescharacteristic
678C23×C43C22×D411yescharacteristic
679C22×D43—21no—
680C22×D43—21no—
681C22×D43—42no—
682C22×D43—81no—
683C22×D43—81no—
684C22×D43C22×D411yescharacteristic
685Q8×C43—21no—
686Q8×C43—21no—
687Q8×C43—21no—
688Q8×C43—21no—
689D4×C43—21no—
690D4×C43—21no—
691D4×C43—21no—
692D4×C43—41no—
693D4×C43—42no—
694D4×C43—42no—
695D4×C43—81no—
696D4×C432−1+412yes—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—42no—
708C2×C4×C43—81no—
709C2×C4×C43—81no—
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C22×D411yescharacteristic
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C2511yescharacteristic
715C22⋊D43—41no—
716C22⋊D43—41no—
717C22⋊D43—42no—
718C22⋊D43—42no—
719C22⋊D43—81no—
720C22⋊D43—81no—
721C22⋊D43—81no—
722C22⋊D43—81no—
723C22⋊D43—81no—
724C22⋊D43—81no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—41no—
732C2×Dic43—41no—
733C2×Dic43—42no—
734C2×Dic43—81no—
735C2×Dic43—81no—
736C2×Dic43—81no—
737C2×Dic43—81no—
738C2×Dic43—81no—
739C2×Dic43—81no—
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747D172—21no—
748D172—21no—
749D172—21no—
750D172—21no—
751D172—81no—
752C4×D43—21no—
753C4×D43—21no—
754C4×D43—81no—
755C4×D43—81no—
756C4×D43—81no—
757C4×D43—81no—
758C4×D43—81no—
759C4×D43—81no—
760Dic86—41no—
761Dic86—81no—
762Dic86—81no—
763Dic86—81no—
764Dic86—81no—
765Dic86—81no—
766C8×C43—21no—
767C8×C43—21no—
768C8×C43—21no—
769C8×C43—21no—
770C43⋊C8—21no—
771C43⋊C8—21no—
772C43⋊C8—21no—
773C43⋊C8—21no—
774#62175—431nomaximal, Sylow
775C22×C43—21no—
776C22×C43—21no—
777C22×C43—21no—
778C22×C43—21no—
779C22×C43—22no—
780C22×C43—21no—
781C22×C43—21no—
782C22×C43—41no—
783C22×C43—41no—
784C22×C43—41no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43—84no—
788C22×C43C23×D411yescharacteristic
789C2×D43—21no—
790C2×D43—21no—
791C2×D43—21no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—41no—
798C2×D43—162no—
799C4×C43—21no—
800C4×C43—21no—
801C4×C43—21no—
802C4×C43—21no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43C2×2−1+411yescharacteristic
810C4×C43#58511yescharacteristic
811Dic43—21no—
812Dic43—21no—
813Dic43—21no—
814Dic43—21no—
815Dic43—21no—
816Dic43—21no—
817Dic43—21no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823Dic43—41no—
824#3565—431no—
825#3513—431no—
826#3389—431no—
827#3381—431no—
828#3371—431no—
829#3361—431no—
830#3354—431no—
831#3351—431no—
832#3351—431no—
833#3349—431no—
834#3343—431no—
835#3339—431no—
836#3324—431no—
837#3323D4311yescharacteristic, complemented
838#3322—431no—
839#3319—431no—
840#3318—431no—
841#3296—431no—
842#3262—431no—
843#3257—431no—
844#3256—431no—
845#3244—431no—
846#3241—431no—
847#3233—431no—
848#3125—431no—
849#3118—431no—
850#3105—431no—
851#3083—431no—
852#3081—431no—
853#3077—431no—
854#2993—431no—
855C2×C43—42no—
856C2×C43—41no—
857C2×C43—41no—
858C2×C43—81no—
859C2×C43#348911yescharacteristic
860C2×C43#358411yescharacteristic
861C2×C43#358511yescharacteristic
862D43—41no—
863D43—81no—
864D43—81no—
865#563—861no—
866#562—861no—
867#559—431no—
868#557—431no—
869#556—431no—
870#556—861no—
871#555—431no—
872#554—431no—
873#554—431no—
874#553—431no—
875#553—431no—
876#553—431no—
877#553—861no—
878#552—431no—
879#552—431no—
880#552—861no—
881#552C2×D4311yescharacteristic, complemented
882#551—861no—
883#551—861no—
884#547—431no—
885#546—431no—
886#546—861no—
887#546C2×D4311yescharacteristic
888D42—431no—
889#544—431no—
890#544—431no—
891#542—431no—
892#542—431no—
893#542—431no—
894#542—861no—
895#542—861no—
896#541—861no—
897#540—431no—
898#539—861no—
899#539—861no—
900#538—861no—
901#533—431no—
902#529—431no—
903#529—431no—
904#529—431no—
905#525—861no—
906C2×#123—861no—
907#520—431no—
908#518—431no—
909C2×C4×D4—431no—
910#501—431no—
911#501—431no—
912#499—431no—
913#499—431no—
914#499—431no—
915#498—431no—
916#490—431no—
917#489—431no—
918#488—431no—
919#488—431no—
920#488C2×D4311yescharacteristic, complemented
921#486—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485C2×D4311yescharacteristic, complemented
926#484—431no—
927#483—431no—
928#483—431no—
929#482—431no—
930#482—431no—
931#482—431no—
932#482—431no—
933#482—431no—
934#482—431no—
935#481—431no—
936#481—431no—
937#481—431no—
938#481C2×D4311yescharacteristic, complemented
939#480—431no—
940#479—431no—
941#479—431no—
942#479—431no—
943#479—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#478—431no—
955#478C2×D4311yescharacteristic
956#477—431no—
957#477—431no—
958#477—431no—
959#476—431no—
960#476—431no—
961#476—431no—
962#476—431no—
963#475—431no—
964#474—431no—
965#474—431no—
966#474—431no—
967#474—431no—
968#474—431no—
969#474—431no—
970#470C2×D4311yescharacteristic, complemented
971#469—431no—
972#469—431no—
973#468—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468C2×D4311yescharacteristic, complemented
978#467—431no—
979#466—431no—
980#466—431no—
981#465—431no—
982#464—431no—
983#464—431no—
984#464C2×D4311yescharacteristic, complemented
985#463—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#460—431no—
991#459—431no—
992#452C2×D4311yescharacteristic
993#450—431no—
994#450C2×D4311yescharacteristic
995#449—431no—
996#447—431no—
997#447—431no—
998#446—431no—
999C8×Q8—431no—
1000#442—431no—
1001#442—431no—
1002#441—431no—
1003#440—431no—
1004C4×SD16—431no—
1005C4×SD16—431no—
1006C4×SD16—431no—
1007C4×SD16—431no—
1008C4×SD16C2×D4311yescharacteristic
1009C4×D8—431no—
1010C4×D8—431no—
1011C4×D8—431no—
1012#436—431no—
1013#436—431no—
1014#436C2×D4311yescharacteristic, complemented
1015#435—431no—
1016#435—431no—
1017C8×D4—431no—
1018#433—431no—
1019#433—431no—
1020#431—431no—
1021#428—431no—
1022#428—431no—
1023#428—431no—
1024#428—431no—
1025#427—431no—
1026C2×#107—431no—
1027#424—431no—
1028#424—431no—
1029#423—431no—
1030#418—431no—
1031#418—431no—
1032#418C2×D4311yescharacteristic
1033#417C2×D4311yescharacteristic
1034#416—431no—
1035C2×#102—431no—
1036C43#6217511yescharacteristic, complemented, Sylow
1037C2×#41—861no—
1038C2×#41C22×D4311yescharacteristic
1039C22×D4—431no—
1040C22×D4—861no—
1041C22×D4C22×D4311yescharacteristic
1042C23×C4—861no—
1043C2×Q16C22×D4311yescharacteristic
1044C2×SD16—431no—
1045C2×SD16—431no—
1046C2×SD16C22×D4311yescharacteristic
1047C2×SD16C22×D4311yescharacteristic
1048C2×D8—431no—
1049C2×D8—431no—
1050C2×D8—431no—
1051C2×M16—431no—
1052C2×M16—431no—
1053C2×M16C22×D4311yescharacteristic
1054C2×M16C22×D4311yescharacteristic
1055C22×C8—431no—
1056C22×C8—431no—
1057C4⋊Q8—431no—
1058C4⋊Q8—431no—
1059C4⋊Q8—431no—
1060C4⋊Q8—431no—
1061C4⋊Q8—431no—
1062C4⋊Q8—861no—
1063C4⋊Q8—861no—
1064C4⋊Q8—861no—
1065#127—431no—
1066#126—21no—
1067#126—431no—
1068#126—431no—
1069#126—861no—
1070#126—861no—
1071#126—861no—
1072#126—861no—
1073#126—861no—
1074#126—861no—
1075#126—861no—
1076#126—861no—
1077#126—861no—
1078#126—861no—
1079#126—861no—
1080#126—861no—
1081#125—21no—
1082#125—431no—
1083#125—431no—
1084#125—431no—
1085#125—431no—
1086#125—431no—
1087#125—431no—
1088#125—431no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125—861no—
1093#125—861no—
1094#125—861no—
1095#125C22×D4311yescharacteristic
1096#124—431no—
1097#124—431no—
1098#124—431no—
1099#124—861no—
1100#124—861no—
1101#124—861no—
1102#124—861no—
1103#124—861no—
1104#124—861no—
1105#124—861no—
1106#124C22×D4311yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—431no—
1110#123—431no—
1111#123—861no—
1112#123—861no—
1113#123—861no—
1114#123—861no—
1115#123—861no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128C22⋊Q8—431no—
1129C22⋊Q8—431no—
1130C22⋊Q8—431no—
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⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8C22×D4311yescharacteristic
1148C22⋊Q8C22×D4311yescharacteristic
1149C22⋊Q8C22×D4311yescharacteristic
1150#121—21no—
1151#121—431no—
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—431no—
1156#121—431no—
1157#121—431no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121—861no—
1165#121—861no—
1166#121C22×D4311yescharacteristic
1167#120—21no—
1168#120—861no—
1169#120—861no—
1170#120—861no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—861no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8C22×D4311yescharacteristic
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—861no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4C22×D4311yescharacteristic
1206C4×D4C22×D4311yescharacteristic
1207#117—21no—
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—431no—
1213#117—431no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220#117C22×D4311yescharacteristic
1221C2×C4⋊C4—431no—
1222C2×C4⋊C4—431no—
1223C2×C4⋊C4—431no—
1224C2×C4⋊C4—861no—
1225C2×C4⋊C4—861no—
1226C2×C4⋊C4—861no—
1227C2×C4⋊C4C22×D4311yescharacteristic
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—861no—
1230C2×C22⋊C4—861no—
1231C2×C22⋊C4—861no—
1232C2×C22⋊C4—861no—
1233C2×C42—431no—
1234#107—431no—
1235#107—431no—
1236#107—431no—
1237#107—431no—
1238#107—431no—
1239#107—431no—
1240#107—431no—
1241#107—431no—
1242#107—431no—
1243#107—431no—
1244#107—431no—
1245#107C22×D4311yescharacteristic
1246#106—431no—
1247#106—431no—
1248#106—431no—
1249#106—431no—
1250#106—431no—
1251#106—431no—
1252#106—431no—
1253#106—431no—
1254#106—431no—
1255#106—431no—
1256#106C22×D4311yescharacteristic
1257#106C22×D4311yescharacteristic
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264C4⋊C8—431no—
1265C4⋊C8—431no—
1266C4⋊C8—431no—
1267C4⋊C8C22×D4311yescharacteristic
1268#103—431no—
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103C22×D4311yescharacteristic
1275#103C22×D4311yescharacteristic
1276#103C22×D4311yescharacteristic
1277#103C22×D4311yescharacteristic
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#102—431no—
1287#102—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102C22×D4311yescharacteristic
1295#102C22×D4311yescharacteristic
1296#102C22×D4311yescharacteristic
1297#102C22×D4311yescharacteristic
1298#102C22×D4311yescharacteristic
1299#102C22×D4311yescharacteristic
1300C22⋊C8—431no—
1301C22⋊C8—431no—
1302C22⋊C8—431no—
1303C22⋊C8—431no—
1304C22⋊C8C22×D4311yescharacteristic
1305C22⋊C8C22×D4311yescharacteristic
1306#97—431no—
1307#97—431no—
1308C4×C8—431no—
1309C4×C8—431no—
1310C4×C8—431no—
1311C4×C8C22×D4311yescharacteristic
1312C24—21no—
1313C24—861no—
1314#41—22no—
1315#41—41no—
1316#41—3442no—
1317C2×Q8—431no—
1318C2×Q8—861no—
1319C2×Q8—861no—
1320C2×Q8—861no—
1321C2×Q8—861no—
1322C2×Q8—861no—
1323C2×Q8C23×D4311yescharacteristic
1324C2×Q8C23×D4311yescharacteristic
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—41no—
1330C2×D4—431no—
1331C2×D4—431no—
1332C2×D4—431no—
1333C2×D4—431no—
1334C2×D4—861no—
1335C2×D4—861no—
1336C2×D4—861no—
1337C2×D4—861no—
1338C2×D4—862no—
1339C2×D4—861no—
1340C2×D4—861no—
1341C2×D4—861no—
1342C2×D4—861no—
1343C2×D4—861no—
1344C2×D4—3442no—
1345C2×D4—1721no—
1346C2×D4D4×D4311yescharacteristic
1347C2×D4C23×D4311yescharacteristic
1348C2×D4C23×D4311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—431no—
1353C22×C4—431no—
1354C22×C4—431no—
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—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—3442no—
1369C22×C4C23×D4311yescharacteristic
1370C22×C4C23×D4311yescharacteristic
1371Q16—41no—
1372SD16—22no—
1373SD16—41no—
1374SD16—1721no—
1375SD16—1721no—
1376D8—862no—
1377D8—1721no—
1378D8—1721no—
1379M16—41no—
1380M16—41no—
1381M16—1721no—
1382M16—1721no—
1383C2×C8—431no—
1384C2×C8—431no—
1385C2×C8—431no—
1386C2×C8—431no—
1387C2×C8—1721no—
1388C2×C8—1721no—
1389C2×C8C23×D4311yescharacteristic
1390C2×C8C23×D4311yescharacteristic
1391C2×C8C23×D4311yescharacteristic
1392C2×C8C23×D4311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—431no—
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—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⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4D4×D4311yescharacteristic
1442C4⋊C4C23×D4311yescharacteristic
1443C4⋊C4C23×D4311yescharacteristic
1444C4⋊C4C23×D4311yescharacteristic
1445C4⋊C4C23×D4311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—431no—
1455C22⋊C4—431no—
1456C22⋊C4—431no—
1457C22⋊C4—431no—
1458C22⋊C4—431no—
1459C22⋊C4—431no—
1460C22⋊C4—431no—
1461C22⋊C4—431no—
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⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4D4×D4311yescharacteristic
1489C22⋊C4D4×D4311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—431no—
1493C42—431no—
1494C42—431no—
1495C42—431no—
1496C42—431no—
1497C42—861no—
1498C42—861no—
1499C42—861no—
1500C42—861no—
1501C42—861no—
1502C42—861no—
1503C42—861no—
1504C42—861no—
1505C42C23×D4311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—42no—
1509C23—42no—
1510C23—81no—
1511C23—431no—
1512C23—861no—
1513C23—861no—
1514C23—3441no—
1515C23—3441no—
1516C23—1722no—
1517C23C2×D4×D4311yescharacteristic
1518C23C2×D4×D4311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—3441no—
1524Q8—3441no—
1525Q8—3441no—
1526Q8—3441no—
1527Q8—3441no—
1528Q8—1721no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—41no—
1533D4—42no—
1534D4—42no—
1535D4—81no—
1536D4—861no—
1537D4—861no—
1538D4—861no—
1539D4—861no—
1540D4—3441no—
1541D4—3441no—
1542D4—3441no—
1543D4—3441no—
1544D4—3441no—
1545D4—3441no—
1546D4—3441no—
1547D4—1721no—
1548D4—1721no—
1549D4—1722no—
1550D4—1722no—
1551D4#1306337212yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—42no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—431no—
1566C2×C4—431no—
1567C2×C4—431no—
1568C2×C4—431no—
1569C2×C4—431no—
1570C2×C4—431no—
1571C2×C4—431no—
1572C2×C4—861no—
1573C2×C4—861no—
1574C2×C4—861no—
1575C2×C4—861no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—861no—
1580C2×C4—3441no—
1581C2×C4—3441no—
1582C2×C4—3441no—
1583C2×C4—3441no—
1584C2×C4—3441no—
1585C2×C4—3441no—
1586C2×C4—3441no—
1587C2×C4—3441no—
1588C2×C4—3441no—
1589C2×C4—3441no—
1590C2×C4—3441no—
1591C2×C4—3441no—
1592C2×C4—1721no—
1593C2×C4—1721no—
1594C2×C4—1722no—
1595C2×C4C2×D4×D4311yescharacteristic
1596C2×C4C2×D4×D4311yescharacteristic
1597C2×C4C2×D4×D4311yescharacteristic
1598C2×C4C2×D4×D4311yescharacteristic
1599C2×C4C24×D4311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—861no—
1605C8—861no—
1606C8—861no—
1607C8—861no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—22no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—84no—
1621C22—861no—
1622C22—861no—
1623C22—861no—
1624C22—1721no—
1625C22—1721no—
1626C22—1721no—
1627C22—1721no—
1628C22—1721no—
1629C22—1721no—
1630C22—6882no—
1631C22C22×D4×D4311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—861no—
1643C4—861no—
1644C4—861no—
1645C4—861no—
1646C4—861no—
1647C4—861no—
1648C4—861no—
1649C4—1721no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C4—1721no—
1655C4C2×#1306337211yescharacteristic
1656C4#1458373411yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—42no—
1660C2—81no—
1661C2—3441no—
1662C2—3441no—
1663C2—1721no—
1664C2#1914826611yescharacteristic
1665C2#1914936711yescharacteristic
1666C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3323C2
socleC22×C43C23×D4
hypercenter#3323D43
hypocenterC43#62175
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3323

Complements

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

NH ≅ G/Ntype
1. #19149234C2semidirect
2. #19148536C2semidirect
3. #19147552C2semidirect
4. #19147468C2semidirect
5. #19147360C2semidirect
6. #19147252C2semidirect
7. #19147191C2semidirect
8. #19147153C2semidirect
9. #19147150C2semidirect
10. #19147120C2semidirect
11. #19147035C2semidirect
12. #19146995C2semidirect
13. #19146819C2semidirect
14. #19146797C2semidirect
15. #19146751C2semidirect
16. #19146737C2semidirect
17. #19146423C2semidirect
18. #19146054C2semidirect
19. #19146001C2semidirect
20. #19145997C2semidirect
21. #19145886C2semidirect
22. #19145852C2semidirect
23. #19145777C2semidirect
24. #19144865C2semidirect
25. #19144785C2semidirect
26. #19144643C2semidirect
27. #19144450C2semidirect
28. #19144425C2semidirect
29. #19144389C2semidirect
30. #19143741C2semidirect
31. C43×#3323C2semidirect
35. #14583628C22semidirect
38. #14583614C22semidirect
40. #14583605C22semidirect
43. #14583597C22semidirect
47. #14583583C22semidirect
54. #14583530C22semidirect
55. #14583529C22semidirect
56. #14583522C22semidirect
57. #14583521C22semidirect
66. #14583452C22semidirect
68. #14583435C22semidirect
75. #14583309C22semidirect
76. #14583306C22semidirect
77. #14583300C22semidirect
78. #14583299C22semidirect
79. #14583299C22semidirect
80. #14583297C22semidirect
82. #14583258C22semidirect
83. #14583255C22semidirect
84. #14583255C22semidirect
86. #14583239C22semidirect
87. #14583238C22semidirect
88. #14583237C22semidirect
89. #14583232C22semidirect
90. #14583228C22semidirect
91. #14583227C22semidirect
92. #14583225C22semidirect
94. #14583224C22semidirect
97. #14583220C22semidirect
98. #14583218C22semidirect
99. #14583218C22semidirect
101. #14583212C22semidirect
102. #14583204C22semidirect
103. #14583204C22semidirect
104. #14583204C22semidirect
105. #14583204C22semidirect
106. #14583202C22semidirect
110. #14583201C22semidirect
111. #14583201C22semidirect
112. #14583198C22semidirect
113. #14583198C22semidirect
115. #14583197C22semidirect
116. #14583196C22semidirect
117. #14583194C22semidirect
118. #14583192C22semidirect
119. #14583192C22semidirect
120. #14583190C22semidirect
121. #14583188C22semidirect
123. #14583187C22semidirect
124. #14583182C22semidirect
125. #14583180C22semidirect
127. #14583178C22semidirect
130. #14583177C22semidirect
132. #14583152C22semidirect
133. #14583148C22semidirect
135. #14583147C22semidirect
137. #14583137C22semidirect
139. #14583133C22semidirect
140. #14583130C22semidirect
141. #14583123C22semidirect
142. #14583123C22semidirect
143. #14583117C22semidirect
144. #14583117C22semidirect
146. #14583116C22semidirect
147. #14583111C22semidirect
154. #14583028C22semidirect
155. C8×Dic86C22semidirect
158. #14583006C22semidirect
159. #14582997C22semidirect
162. SD16×Dic43C22semidirect
163. #14582984C22semidirect
164. C4×D344C22semidirect
166. #14582979C22semidirect
167. #14582975C22semidirect
169. #14582971C22semidirect
171. (C22⋊D43)⋊C8C22semidirect
172. #14582958C22semidirect
173. #14582957C22semidirect
174. #14582949C22semidirect
175. #14582942C22semidirect
176. #14582941C22semidirect
177. #14582941C22semidirect
178. #14582940C22semidirect
179. #14582934C22semidirect
180. C2×#13063258C22semidirect
181. #14582927C22semidirect
182. #14582924C22semidirect
183. #14582922C22semidirect
188. C43×#552C22semidirect
190. C43×#488C22semidirect
191. C43×#485C22semidirect
192. C43×#481C22semidirect
194. C43×#470C22semidirect
195. C43×#468C22semidirect
196. C43×#464C22semidirect
200. C43×#436C22semidirect
837. #3323D43semidirect
881. #552C2×D43semidirect
920. #488C2×D43semidirect
925. #485C2×D43semidirect
938. #481C2×D43semidirect
970. #470C2×D43semidirect
977. #468C2×D43semidirect
984. #464C2×D43semidirect
1014. #436C2×D43semidirect
1036. C43#62175semidirect

Maximal subgroups

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

subgroupindex
#191492342
#191485362
#191475522
#191474682
#191473602
#191472522
#191471912
#191471532
#191471502
#191471202
#191470352
#191469952
#191468192
#191467972
#191467512
#191467372
#191464232
#191460542
#191460012
#191459972
#191458862
#191458522
#191457772
#191448652
#191447852
#191446432
#191444502
#191444252
#191443892
#191437412
C43×#33232
#6217543