Finite Group Databasebeta

← #25979733

Subgroups — #25979733

Order 11008.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148559C211yesmaximal, characteristic, complemented
2#19148524C211yesmaximal, characteristic, complemented
3#19147682C211yesmaximal, characteristic, complemented
4#19147489C211yesmaximal, characteristic, complemented
5#19147384C211yesmaximal, characteristic, complemented
6#19147349C211yesmaximal, characteristic, complemented
7#19147188C211yesmaximal, characteristic, complemented
8#19147140C211yesmaximal, characteristic, complemented
9#19147114C211yesmaximal, characteristic, complemented
10#19146833C211yesmaximal, characteristic, complemented
11#19146817C211yesmaximal, characteristic, complemented
12#19146747C211yesmaximal, characteristic, complemented
13#19146738C211yesmaximal, characteristic, complemented
14#19146562C211yesmaximal, characteristic, complemented
15#19146199C211yesmaximal, characteristic, complemented
16#19146079C211yesmaximal, characteristic, complemented
17#19146076C211yesmaximal, characteristic, complemented
18#19145273C211yesmaximal, characteristic, complemented
19#19145213C211yesmaximal, characteristic, complemented
20#19145193C211yesmaximal, characteristic, complemented
21#19144865C211yesmaximal, characteristic, complemented
22#19144834C211yesmaximal, characteristic, complemented
23#19144782C211yesmaximal, characteristic, complemented
24#19144780C211yesmaximal, characteristic, complemented
25#19144703C211yesmaximal, characteristic, complemented
26#19144688C211yesmaximal, characteristic, complemented
27#19143577C211yesmaximal, characteristic, complemented
28#19143443C211yesmaximal, characteristic, complemented
29#19143430C211yesmaximal, characteristic, complemented
30#19143400C211yesmaximal, characteristic, complemented
31C43×#3311C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C22×#10621882C2211yescharacteristic
35#14583634C2211yescharacteristic, complemented
36#14583631C2211yescharacteristic, complemented
37#14583612C2211yescharacteristic
38#14583612C2211yescharacteristic, complemented
39#14583608C2211yescharacteristic, complemented
40#14583595C2211yescharacteristic
41#14583592—21no—
42#14583583C2211yescharacteristic, complemented
43#14583575—21no—
44#14583574—21no—
45#14583574—21no—
46#14583572—21no—
47#14583564C2211yescharacteristic, complemented
48#14583561—21no—
49#14583549C2211yescharacteristic, complemented
50#14583542—21no—
51#14583540C2211yescharacteristic
52#14583540C2211yescharacteristic, complemented
53#14583537C2211yescharacteristic, complemented
54#14583536—21no—
55D4×D172C2211yescharacteristic, complemented
56D4×C22⋊D43C2211yescharacteristic, complemented
57#14583522C2211yescharacteristic, complemented
58#14583522C2211yescharacteristic, complemented
59#14583522C2211yescharacteristic, complemented
60#14583502C2211yescharacteristic, complemented
61#14583493—21no—
62#14583488—21no—
63#14583488—21no—
64#14583484—21no—
65#14583450C2211yescharacteristic, complemented
66#14583436—21no—
67#14583431C2211yescharacteristic
68#14583428C2211yescharacteristic, complemented
69#124×D43—21no—
70#14583409—21no—
71C2×#13063307—21no—
72#14583382C2211yescharacteristic, complemented
73#14583374C2211yescharacteristic, complemented
74#14583373C2211yescharacteristic, complemented
75#14583373C2211yescharacteristic, complemented
76C4×#10621902C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583296C2211yescharacteristic, complemented
81#14583289C2211yescharacteristic, complemented
82#14583285C2211yescharacteristic, complemented
83#14583284C2211yescharacteristic, complemented
84#14583264C2211yescharacteristic, complemented
85#14583260C2211yescharacteristic, complemented
86#14583260C2211yescharacteristic, complemented
87#14583255C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583239C2211yescharacteristic, complemented
90#14583237C2211yescharacteristic, complemented
91#14583227C2211yescharacteristic, complemented
92#14583224C2211yescharacteristic, complemented
93#14583223C2211yescharacteristic, complemented
94#14583223C2211yescharacteristic, complemented
95#14583222C2211yescharacteristic, complemented
96#14583219C2211yescharacteristic, complemented
97#14583219C2211yescharacteristic, complemented
98#14583218C2211yescharacteristic, complemented
99#14583206C2211yescharacteristic, complemented
100#14583202C2211yescharacteristic, complemented
101#14583200C2211yescharacteristic, complemented
102#14583198C2211yescharacteristic, complemented
103#14583188C2211yescharacteristic, complemented
104#14583187C2211yescharacteristic, complemented
105#14583187C2211yescharacteristic, complemented
106#14583186C2211yescharacteristic, complemented
107#14583182C2211yescharacteristic, complemented
108#14583178C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic, complemented
110#14583152C2211yescharacteristic
111#14583151C2211yescharacteristic, complemented
112#14583151C2211yescharacteristic, complemented
113#14583150C2211yescharacteristic, complemented
114#14583148C2211yescharacteristic, complemented
115#14583148C2211yescharacteristic, complemented
116#14583147C2211yescharacteristic, complemented
117#14583135C2211yescharacteristic, complemented
118#14583130C2211yescharacteristic, complemented
119#14583130C2211yescharacteristic, complemented
120#14583123C2211yescharacteristic, complemented
121#14583117C2211yescharacteristic, complemented
122#14583117C2211yescharacteristic, complemented
123#14583116C2211yescharacteristic, complemented
124#14583116C2211yescharacteristic, complemented
125#14583116C2211yescharacteristic, complemented
126#14583111C2211yescharacteristic, complemented
127#14583095C2211yescharacteristic, complemented
128#14583094C2211yescharacteristic
129#14583093C2211yescharacteristic
130#14583093C2211yescharacteristic, complemented
131#14583060C2211yescharacteristic, complemented
132#14583049C2211yescharacteristic, complemented
133#14583044C2211yescharacteristic
134#14583043C2211yescharacteristic
135#14583035C2211yescharacteristic
136#14583035C2211yescharacteristic, complemented
137#14583034C2211yescharacteristic, complemented
138#14583034C2211yescharacteristic, complemented
139#14583033C2211yescharacteristic
140#14583032C2211yescharacteristic, complemented
141#14583028C2211yescharacteristic, complemented
142#14583027C2211yescharacteristic, complemented
143#14583012C2211yescharacteristic, complemented
144#14583010C2211yescharacteristic, complemented
145#14583010C2211yescharacteristic, complemented
146#14583009C2211yescharacteristic
147#14583008C2211yescharacteristic
148#14583008C2211yescharacteristic, complemented
149#14583008C2211yescharacteristic, complemented
150#14583008C2211yescharacteristic, complemented
151#14583008C2211yescharacteristic, complemented
152#14583008C2211yescharacteristic, complemented
153#14583006C2211yescharacteristic, complemented
154#14583002C2211yescharacteristic, complemented
155#14583002C2211yescharacteristic, complemented
156#14583000C2211yescharacteristic, complemented
157#14582997C2211yescharacteristic, complemented
158SD16×Dic43C2211yescharacteristic, complemented
159#14582984C2211yescharacteristic, complemented
160#14582984C2211yescharacteristic, complemented
161#14582984C2211yescharacteristic, complemented
162#14582984C2211yescharacteristic, complemented
163#14582981C2211yescharacteristic, complemented
164#14582979C2211yescharacteristic
165#14582979C2211yescharacteristic
166#14582979C2211yescharacteristic, complemented
167#14582979C2211yescharacteristic, complemented
168#14582979C2211yescharacteristic, complemented
169#14582979C2211yescharacteristic, complemented
170#14582975C2211yescharacteristic, complemented
171#14582974C2211yescharacteristic, complemented
172#14582971C2211yescharacteristic, complemented
173#14582970C2211yescharacteristic, complemented
174#14582967C2211yescharacteristic, complemented
175#14582957C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582955C2211yescharacteristic, complemented
178#14582942C2211yescharacteristic, complemented
179#14582940C2211yescharacteristic, complemented
180#14582935C2211yescharacteristic, complemented
181#14582905C2211yescharacteristic, complemented
182#14582902C2211yescharacteristic, complemented
183#14582899C2211yescharacteristic, complemented
184C2×#13063247C2211yescharacteristic, complemented
185#14582857C2211yescharacteristic, complemented
186#14582854C2211yescharacteristic, complemented
187#14582851C2211yescharacteristic, complemented
188C43×#556C2211yescharacteristic, complemented
189C43×#546C2211yescharacteristic
190C43×#489C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#476C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic, complemented
195C43×#465C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic, complemented
198C43×#450C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#418C2211yescharacteristic, complemented
202C43×#416C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621900—21no—
206C2×Q8×D43—21no—
207C22×D172C2311yescharacteristic
208C22×D172C2311yescharacteristic
209C22×C22⋊D43—21no—
210C2×D4×D43—21no—
211C2×D4×D43C2311yescharacteristic
212C22×C4×D43—21no—
213#13063352—24no—
214#13063350—24no—
215C2×#10621884C2311yescharacteristic
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×D344C2311yescharacteristic
220C2×D344C2311yescharacteristic
221C2×D344C2311yescharacteristic
222C2×#10621882—24no—
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621877C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C22×C43⋊C8C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063322C2311yescharacteristic
237#13063321C2311yescharacteristic
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318D411yescharacteristic
245#13063318D411yescharacteristic
246#13063317C2311yescharacteristic
247#13063316D411yescharacteristic
248#13063316C2311yescharacteristic
249#13063315—21no—
250#13063314—21no—
251#13063314C2311yescharacteristic
252#13063314C2311yescharacteristic
253#13063314C2311yescharacteristic
254#13063313—21no—
255#13063313—21no—
256#13063313—21no—
257#13063312D411yescharacteristic
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063310—21no—
265#13063310—21no—
266#13063310—21no—
267#13063310—21no—
268#13063309—21no—
269#13063309—21no—
270#13063308—21no—
271#13063307—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307D411yescharacteristic
281#13063307D411yescharacteristic
282#13063306—21no—
283#13063305—21no—
284#13063305—21no—
285#13063305—21no—
286#13063305D411yescharacteristic
287#13063304—21no—
288#13063303—21no—
289#13063303—21no—
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063301—21no—
294#13063301C2311yescharacteristic
295#13063300—21no—
296#13063300—21no—
297#13063300—21no—
298#13063300—21no—
299#13063300C2311yescharacteristic
300#13063300C2311yescharacteristic
301#13063299C2311yescharacteristic
302#13063299C2311yescharacteristic
303#13063299C2311yescharacteristic
304#13063299C2311yescharacteristic
305#13063298—21no—
306#13063298—21no—
307#13063297—21no—
308#13063297—21no—
309#13063297—21no—
310#13063297—21no—
311#13063296—21no—
312#13063296D411yescharacteristic
313#13063296C2311yescharacteristic
314#13063295—21no—
315#13063295—21no—
316#13063295—21no—
317#13063295—21no—
318#13063294—21no—
319#13063293—21no—
320#13063293—21no—
321Q8×Dic43C2311yescharacteristic
322Q8×Dic43C2311yescharacteristic
323Q8×Dic43C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325C4×D172—21no—
326C4×D172—21no—
327C4×D172—21no—
328C4×D172—21no—
329C4×D172—21no—
330C4×D172—21no—
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43—21no—
336D4×Dic43—21no—
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342#13063287—21no—
343#13063287—21no—
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
352C4×C22⋊D43—21no—
353C4×C22⋊D43C2311yescharacteristic
354C4×C22⋊D43C2311yescharacteristic
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359#13063284—21no—
360#13063284C2311yescharacteristic
361#13063284C2311yescharacteristic
362#13063284C2311yescharacteristic
363#13063283—21no—
364#13063283—21no—
365#13063283C2311yescharacteristic
366#13063282—21no—
367#13063282—21no—
368#13063281—21no—
369C2×C4⋊Dic43—21no—
370C2×C4⋊Dic43C2311yescharacteristic
371C2×Dic43⋊C4—21no—
372C4⋊C4×D43C2311yescharacteristic
373C2×C22⋊Dic43—21no—
374C2×C22⋊Dic43—21no—
375C2×(C2×D43)⋊C4—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C42×D43—21no—
384C42×D43C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C22×D4×C43C2311yescharacteristic
440C2×Q16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×M16×C43C2311yescharacteristic
444C22×C8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#126×C43—21no—
447#126×C43—21no—
448#124×C43—21no—
449#124×C43C2311yescharacteristic
450#123×C43—21no—
451C22⋊Q8×C43C2311yescharacteristic
452C22⋊Q8×C43C2311yescharacteristic
453C22⋊Q8×C43C2311yescharacteristic
454#121×C43—21no—
455#121×C43C2311yescharacteristic
456#120×C43—21no—
457C4×Q8×C43—21no—
458C4×Q8×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461#117×C43C2311yescharacteristic
462#117×C43C2311yescharacteristic
463C2×C22⋊C4×C43—21no—
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C24×C43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C23×D43—21no—
485#41×C43—22no—
486#41×C43—41no—
487C2×Q8×C43—21no—
488C2×Q8×C43C2411yescharacteristic
489C2×Q8×C43C2411yescharacteristic
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—22no—
494C2×D4×C43—41no—
495C2×D4×C43C2×D411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C2×D4×C43C2411yescharacteristic
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43C2411yescharacteristic
501C22×C4×C43C2411yescharacteristic
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—82no—
511C2×C22⋊D43C2×D411yescharacteristic
512C2×C22⋊D43C2×D411yescharacteristic
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519#10621902—22no—
520#10621902—41no—
521#10621902—82no—
522Q8×D43—82no—
523#10621900—82no—
524D4×D43—22no—
525D4×D43—41no—
526D4×D43—82no—
527C2×D172—21no—
528C2×D172—21no—
529C2×D172—21no—
530C2×D172—21no—
531C2×D172—21no—
532C2×D172—21no—
533C2×D172—21no—
534C2×D172—22no—
535C2×D172—22no—
536C2×D172—41no—
537C2×D172—41no—
538C2×D172C2411yescharacteristic
539C2×D172C2411yescharacteristic
540C2×D172C2411yescharacteristic
541C2×D172C2411yescharacteristic
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—82no—
555C2×C4×D43C2×D411yescharacteristic
556C2×C4×D43C2×D411yescharacteristic
557C2×C4×D43C2411yescharacteristic
558C2×Dic86—21no—
559C2×Dic86—21no—
560C2×Dic86—21no—
561C2×Dic86C2×D411yescharacteristic
562Q16×C43—41no—
563SD16×C43—22no—
564SD16×C43—41no—
565M16×C43—41no—
566C2×C8×C43—41no—
567C2×C8×C43C2411yescharacteristic
568C2×C8×C43C2411yescharacteristic
569C2×C8×C43C2411yescharacteristic
570C2×C8×C43C2411yescharacteristic
571C4⋊C4×C43—21no—
572C4⋊C4×C43—21no—
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43C2×D411yescharacteristic
577C4⋊C4×C43C2411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C4⋊C4×C43C2411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43C2×D411yescharacteristic
591C22⋊C4×C43C2×D411yescharacteristic
592C42×C43—21no—
593C42×C43—21no—
594C42×C43—21no—
595C42×C43C2411yescharacteristic
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43C2×D411yescharacteristic
604C22⋊Dic43C2×D411yescharacteristic
605C22⋊Dic43C2×D411yescharacteristic
606C22⋊Dic43C2×D411yescharacteristic
607C22⋊Dic43C2×D411yescharacteristic
608C22⋊Dic43C2×D411yescharacteristic
609#10621884—22no—
610#10621884—22no—
611#10621884—22no—
612#10621884—41no—
613#10621882—22no—
614#10621882—22no—
615#10621882—22no—
616#10621882—22no—
617#10621882—41no—
618#10621882#4114yescomplemented
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4—21no—
640(C2×D43)⋊C4—21no—
641(C2×D43)⋊C4—21no—
642(C2×D43)⋊C4—21no—
643(C2×D43)⋊C4C2×D411yescharacteristic
644(C2×D43)⋊C4C2×D411yescharacteristic
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43—21no—
649C4⋊Dic43—21no—
650C4⋊Dic43C2×D411yescharacteristic
651C4⋊Dic43C2×D411yescharacteristic
652C4⋊Dic43C2×D411yescharacteristic
653C4⋊Dic43C2×D411yescharacteristic
654C4⋊Dic43C2×D411yescharacteristic
655C4⋊Dic43C2411yescharacteristic
656C4⋊Dic43C2411yescharacteristic
657C4⋊Dic43C2411yescharacteristic
658C4⋊Dic43C2411yescharacteristic
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43C2×D411yescharacteristic
677C4×Dic43C2×D411yescharacteristic
678C4×Dic43C2411yescharacteristic
679C4×Dic43C2411yescharacteristic
680C4×Dic43C2411yescharacteristic
681#10621877—22no—
682C2×C43⋊C8—22no—
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687D344—22no—
688D344—41no—
689D344—41no—
690#10621872—22no—
691#10621872—41no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—42no—
695C23×C43—81no—
696C23×C43—81no—
697C23×C43C22×D411yescharacteristic
698C23×C43C22×D411yescharacteristic
699C22×D43—21no—
700C22×D43—21no—
701C22×D43—21no—
702C22×D43—21no—
703C22×D43—42no—
704C22×D43—42no—
705C22×D43—42no—
706C22×D43—42no—
707C22×D43—81no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43—81no—
711C22×D43—81no—
712C22×D43C22×D411yescharacteristic
713Q8×C43—21no—
714Q8×C43—21no—
715Q8×C43—21no—
716Q8×C43—21no—
717Q8×C43—42no—
718D4×C43—21no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—41no—
722D4×C43—42no—
723D4×C43—42no—
724D4×C43—81no—
725D4×C43C2×#4112yes—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—42no—
737C2×C4×C43—81no—
738C2×C4×C43C22×D411yescharacteristic
739C2×C4×C43C22×D411yescharacteristic
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C2511yescharacteristic
743C22⋊D43—41no—
744C22⋊D43—41no—
745C22⋊D43—42no—
746C22⋊D43—42no—
747C22⋊D43—81no—
748C22⋊D43—81no—
749C22⋊D43—81no—
750C22⋊D43—81no—
751C22⋊D43—81no—
752C22⋊D43—81no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—81no—
758C2×Dic43—81no—
759C2×Dic43—81no—
760C2×Dic43—81no—
761C2×Dic43—81no—
762C2×Dic43—81no—
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767C2×Dic43C22×D411yescharacteristic
768C2×Dic43C22×D411yescharacteristic
769C2×Dic43C22×D411yescharacteristic
770D172—21no—
771D172—21no—
772D172—21no—
773D172—21no—
774D172—21no—
775D172—21no—
776D172—21no—
777D172—42no—
778D172—42no—
779D172—42no—
780D172—42no—
781D172—81no—
782D172—81no—
783D172—81no—
784D172C2×#4112yes—
785C4×D43—21no—
786C4×D43—21no—
787C4×D43—41no—
788C4×D43—41no—
789C4×D43—42no—
790C4×D43—42no—
791C4×D43—42no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801Dic86—41no—
802Dic86—81no—
803Dic86—81no—
804Dic86—81no—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43—21no—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8C2×#4112yes—
813#61505—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43—21no—
818C22×C43—21no—
819C22×C43—21no—
820C22×C43—22no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—162no—
827C22×C43C23×D411yescharacteristic
828C2×D43—21no—
829C2×D43—21no—
830C2×D43—22no—
831C2×D43—21no—
832C2×D43—41no—
833C2×D43—41no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—84no—
844C2×D43—162no—
845C2×D43—162no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855C4×C43—41no—
856C4×C43C22×#4111yescharacteristic
857C4×C43#58511yescharacteristic
858Dic43—21no—
859Dic43—21no—
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
863Dic43—21no—
864Dic43—21no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868Dic43—41no—
869#3514—431no—
870#3513—431no—
871#3403—431no—
872#3384—431no—
873#3373—431no—
874#3370—431no—
875#3354—431no—
876#3350—431no—
877#3348—431no—
878#3325—431no—
879#3323—431no—
880#3319—431no—
881#3318—431no—
882#3311D4311yescharacteristic, complemented
883#3306—431no—
884#3273—431no—
885#3264—431no—
886#3264—431no—
887#3179—431no—
888#3173—431no—
889#3171—431no—
890#3125—431no—
891#3122—431no—
892#3118—431no—
893#3118—431no—
894#3111—431no—
895#3109—431no—
896#2967—431no—
897#2948—431no—
898#2946—431no—
899C4×AGL(1,ℤ/8)—431no—
900C2×C43—42no—
901C2×C43—41no—
902C2×C43—41no—
903C2×C43—81no—
904C2×C43D4×#4111yescharacteristic
905C2×C43#358511yescharacteristic
906C2×C43#358511yescharacteristic
907D43—41no—
908D43—42no—
909D43—81no—
910D43—81no—
911D43—81no—
912C2×AGL(1,ℤ/8)—431no—
913C2×AGL(1,ℤ/8)—431no—
914C22×D8—431no—
915#559—431no—
916#559—431no—
917#556C2×D4311yescharacteristic, complemented
918#555—431no—
919#555—431no—
920#554—431no—
921#553—431no—
922#553—861no—
923#552—431no—
924#551—861no—
925#551—861no—
926#551—861no—
927#551—861no—
928D4×Q8—431no—
929#548—861no—
930#547—431no—
931#546—431no—
932#546—431no—
933#546—431no—
934#546—861no—
935#546—861no—
936#546C2×D4311yescharacteristic
937D42—431no—
938D42—431no—
939#542—431no—
940#542—431no—
941#542—431no—
942#540—431no—
943#539—861no—
944#538—861no—
945#538—861no—
946#538—861no—
947#532—431no—
948#529—431no—
949#529—431no—
950#529—861no—
951C2×#124—861no—
952#525—861no—
953C2×#123—861no—
954#520—431no—
955#518—431no—
956#518—431no—
957#518—431no—
958C4×#41—431no—
959C2×C4×D4—431no—
960#501—431no—
961#501—431no—
962#498—431no—
963#496—431no—
964#496—431no—
965#495—431no—
966#490—431no—
967#489—431no—
968#489—431no—
969#489C2×D4311yescharacteristic, complemented
970#488—431no—
971#486—431no—
972#485—431no—
973#485—431no—
974#485C2×D4311yescharacteristic, complemented
975#483—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482—431no—
980#482C2×D4311yescharacteristic, complemented
981#481—431no—
982#481—431no—
983#481—431no—
984#479—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#476—431no—
989#476—431no—
990#476—431no—
991#476—431no—
992#476C2×D4311yescharacteristic, complemented
993#475—431no—
994#474—431no—
995#474—431no—
996#470C2×D4311yescharacteristic, complemented
997#469—431no—
998#469—431no—
999#469—431no—
1000#469—431no—
1001#468—431no—
1002#468—431no—
1003#468—431no—
1004#466—431no—
1005#465—431no—
1006#465—431no—
1007#465C2×D4311yescharacteristic, complemented
1008#464—431no—
1009#464C2×D4311yescharacteristic, complemented
1010#463—431no—
1011#463—431no—
1012#463—431no—
1013#463—431no—
1014#463—431no—
1015#463—431no—
1016#459—431no—
1017#459—431no—
1018#459—431no—
1019#459—431no—
1020#452—431no—
1021#452C2×D4311yescharacteristic, complemented
1022#450—431no—
1023#450C2×D4311yescharacteristic, complemented
1024#449—431no—
1025#449—431no—
1026#447—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#447—431no—
1031#447—431no—
1032#446—431no—
1033#446—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442—431no—
1041#442—431no—
1042#442—431no—
1043#442—431no—
1044#441—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440C2×D4311yescharacteristic, complemented
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061C4×D8—431no—
1062#436—431no—
1063#436—431no—
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#435C2×D4311yescharacteristic, complemented
1068#433—431no—
1069#433—431no—
1070#432—431no—
1071#428—431no—
1072#428—431no—
1073#427—431no—
1074#418—431no—
1075#418—431no—
1076#418C2×D4311yescharacteristic, complemented
1077#417—431no—
1078#416C2×D4311yescharacteristic, complemented
1079C2×#102—431no—
1080#405—431no—
1081#405—431no—
1082C4×M16—431no—
1083C43#6150511yescharacteristic, complemented, Sylow
1084C2×#41—431no—
1085C2×#41—861no—
1086C2×#41—861no—
1087C2×#41C22×D4311yescharacteristic
1088C22×Q8—861no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—861no—
1093C22×D4—861no—
1094C22×D4C22×D4311yescharacteristic
1095C23×C4—861no—
1096AGL(1,ℤ/8)—864no—
1097AGL(1,ℤ/8)—864no—
1098C2×Q16C22×D4311yescharacteristic
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16C22×D4311yescharacteristic
1104C2×SD16C22×D4311yescharacteristic
1105C2×D8—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—431no—
1113C2×D8—431no—
1114C2×D8—864no—
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16—431no—
1118C2×M16C22×D4311yescharacteristic
1119C22×C8—431no—
1120C22×C8C22×D4311yescharacteristic
1121C4⋊Q8—431no—
1122C4⋊Q8—431no—
1123C4⋊Q8—431no—
1124C4⋊Q8C22×D4311yescharacteristic
1125#127—431no—
1126#127—431no—
1127#126—21no—
1128#126—21no—
1129#126—431no—
1130#126—431no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#125—431no—
1138#125—431no—
1139#125—431no—
1140#125—861no—
1141#124—21no—
1142#124—431no—
1143#124—431no—
1144#124—431no—
1145#124—431no—
1146#124—861no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124—861no—
1156#124C22×D4311yescharacteristic
1157#123—21no—
1158#123—431no—
1159#123—431no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173#123—861no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177C22⋊Q8—431no—
1178C22⋊Q8—431no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8C22×D4311yescharacteristic
1190C22⋊Q8C22×D4311yescharacteristic
1191C22⋊Q8C22×D4311yescharacteristic
1192#121—21no—
1193#121—431no—
1194#121—431no—
1195#121—431no—
1196#121—431no—
1197#121—431no—
1198#121—431no—
1199#121—431no—
1200#121—431no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121C22×D4311yescharacteristic
1213#120—21no—
1214#120—861no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220#120—861no—
1221C4×Q8—21no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—431no—
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—431no—
1228C4×D4—431no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4C22×D4311yescharacteristic
1262C4×D4C22×D4311yescharacteristic
1263#117—431no—
1264#117—431no—
1265#117—431no—
1266#117—431no—
1267#117—861no—
1268#117—861no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117C22×D4311yescharacteristic
1274#117C22×D4311yescharacteristic
1275C2×C4⋊C4—431no—
1276C2×C4⋊C4—431no—
1277C2×C4⋊C4—861no—
1278C2×C4⋊C4—861no—
1279C2×C22⋊C4—21no—
1280C2×C22⋊C4—861no—
1281C2×C22⋊C4—861no—
1282C2×C22⋊C4—861no—
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C22⋊C4—861no—
1290C2×C42—431no—
1291C2×C42—861no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#107—431no—
1297#107C22×D4311yescharacteristic
1298#106—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106—431no—
1306#106C22×D4311yescharacteristic
1307#106C22×D4311yescharacteristic
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312C4⋊C8—431no—
1313C4⋊C8C22×D4311yescharacteristic
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103C22×D4311yescharacteristic
1319#103C22×D4311yescharacteristic
1320#103C22×D4311yescharacteristic
1321#103C22×D4311yescharacteristic
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344#102C22×D4311yescharacteristic
1345#102C22×D4311yescharacteristic
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350C22⋊C8C22×D4311yescharacteristic
1351C22⋊C8C22×D4311yescharacteristic
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97—431no—
1356#97—431no—
1357#97C22×D4311yescharacteristic
1358C4×C8—431no—
1359C4×C8—431no—
1360C4×C8—431no—
1361C4×C8—431no—
1362C24—21no—
1363C24—861no—
1364C24—861no—
1365C24—861no—
1366#41—22no—
1367#41—41no—
1368#41—862no—
1369#41—3442no—
1370#41—3442no—
1371#41—1721no—
1372C2×Q8—21no—
1373C2×Q8—431no—
1374C2×Q8—861no—
1375C2×Q8—861no—
1376C2×Q8—861no—
1377C2×Q8—3442no—
1378C2×Q8C23×D4311yescharacteristic
1379C2×Q8C23×D4311yescharacteristic
1380C2×D4—22no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—41no—
1385C2×D4—431no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—431no—
1389C2×D4—431no—
1390C2×D4—431no—
1391C2×D4—862no—
1392C2×D4—862no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—862no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—3442no—
1410C2×D4—3442no—
1411C2×D4—1721no—
1412C2×D4—1721no—
1413C2×D4—1721no—
1414C2×D4D4×D4311yescharacteristic
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—431no—
1420C22×C4—431no—
1421C22×C4—431no—
1422C22×C4—861no—
1423C22×C4—861no—
1424C22×C4—861no—
1425C22×C4—861no—
1426C22×C4—861no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—3442no—
1441C22×C4C23×D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443Q16—41no—
1444SD16—22no—
1445SD16—41no—
1446SD16—862no—
1447SD16—862no—
1448SD16—862no—
1449SD16—1721no—
1450D8—434no—
1451D8—862no—
1452D8—862no—
1453D8—862no—
1454D8—862no—
1455D8—862no—
1456D8—1721no—
1457D8—1721no—
1458D8—1721no—
1459M16—41no—
1460M16—862no—
1461M16—862no—
1462M16—1721no—
1463C2×C8—41no—
1464C2×C8—431no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—862no—
1469C2×C8C23×D4311yescharacteristic
1470C2×C8C23×D4311yescharacteristic
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—431no—
1479C4⋊C4—431no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—431no—
1483C4⋊C4—431no—
1484C4⋊C4—431no—
1485C4⋊C4—431no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—431no—
1489C4⋊C4—431no—
1490C4⋊C4—431no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4D4×D4311yescharacteristic
1505C4⋊C4C23×D4311yescharacteristic
1506C4⋊C4C23×D4311yescharacteristic
1507C4⋊C4C23×D4311yescharacteristic
1508C4⋊C4C23×D4311yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—431no—
1519C22⋊C4—431no—
1520C22⋊C4—431no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4D4×D4311yescharacteristic
1558C22⋊C4D4×D4311yescharacteristic
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—431no—
1563C42—431no—
1564C42—431no—
1565C42—431no—
1566C42—431no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42—861no—
1571C42—861no—
1572C42C23×D4311yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—42no—
1576C23—81no—
1577C23—81no—
1578C23—431no—
1579C23—861no—
1580C23—861no—
1581C23—861no—
1582C23—861no—
1583C23—3441no—
1584C23—3441no—
1585C23—3441no—
1586C23—3441no—
1587C23—3441no—
1588C23—1722no—
1589C23—1722no—
1590C23—1722no—
1591C23—1722no—
1592C23C2×D4×D4311yescharacteristic
1593C23C2×D4×D4311yescharacteristic
1594Q8—21no—
1595Q8—21no—
1596Q8—21no—
1597Q8—21no—
1598Q8—42no—
1599Q8—3441no—
1600Q8—3441no—
1601Q8—3441no—
1602Q8—1721no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—41no—
1607D4—42no—
1608D4—42no—
1609D4—81no—
1610D4—432no—
1611D4—861no—
1612D4—861no—
1613D4—861no—
1614D4—861no—
1615D4—861no—
1616D4—861no—
1617D4—861no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—3441no—
1626D4—3441no—
1627D4—1722no—
1628D4—1722no—
1629D4—1722no—
1630D4—1722no—
1631D4—1721no—
1632D4—1721no—
1633D4—1722no—
1634D4—1722no—
1635D4#41×D4312yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—42no—
1647C2×C4—81no—
1648C2×C4—431no—
1649C2×C4—431no—
1650C2×C4—431no—
1651C2×C4—431no—
1652C2×C4—431no—
1653C2×C4—431no—
1654C2×C4—431no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—3441no—
1662C2×C4—3441no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—3441no—
1672C2×C4—3441no—
1673C2×C4—3441no—
1674C2×C4—3441no—
1675C2×C4—3441no—
1676C2×C4—1721no—
1677C2×C4—1721no—
1678C2×C4—1722no—
1679C2×C4—1722no—
1680C2×C4—1722no—
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C2×D4×D4311yescharacteristic
1684C2×C4C2×D4×D4311yescharacteristic
1685C2×C4C24×D4311yescharacteristic
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—432no—
1691C8—861no—
1692C8—861no—
1693C8—861no—
1694C22—21no—
1695C22—21no—
1696C22—22no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—162no—
1707C22—861no—
1708C22—862no—
1709C22—861no—
1710C22—861no—
1711C22—3444no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—1721no—
1723C22—6882no—
1724C22—6882no—
1725C22C22×D4×D4311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—861no—
1737C4—861no—
1738C4—861no—
1739C4—861no—
1740C4—861no—
1741C4—861no—
1742C4—861no—
1743C4—1721no—
1744C4—1721no—
1745C4—1721no—
1746C4—1721no—
1747C4C2×#41×D4311yescharacteristic
1748C4#1458373411yescharacteristic
1749C2—41no—
1750C2—41no—
1751C2—42no—
1752C2—81no—
1753C2—3441no—
1754C2—3441no—
1755C2—3441no—
1756C2—1721no—
1757C2—1722no—
1758C2#1914807911yescharacteristic
1759C2#1914937211yescharacteristic
1760C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3311C2
socleC22×C43C23×D4
hypercenter#3311D43
hypocenterC43#61505
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3311

Complements

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

NH ≅ G/Ntype
1. #19148559C2semidirect
2. #19148524C2semidirect
3. #19147682C2semidirect
4. #19147489C2semidirect
5. #19147384C2semidirect
6. #19147349C2semidirect
7. #19147188C2semidirect
8. #19147140C2semidirect
9. #19147114C2semidirect
10. #19146833C2semidirect
11. #19146817C2semidirect
12. #19146747C2semidirect
13. #19146738C2semidirect
14. #19146562C2semidirect
15. #19146199C2semidirect
16. #19146079C2semidirect
17. #19146076C2semidirect
18. #19145273C2semidirect
19. #19145213C2semidirect
20. #19145193C2semidirect
21. #19144865C2semidirect
22. #19144834C2semidirect
23. #19144782C2semidirect
24. #19144780C2semidirect
25. #19144703C2semidirect
26. #19144688C2semidirect
27. #19143577C2semidirect
28. #19143443C2semidirect
29. #19143430C2semidirect
30. #19143400C2semidirect
31. C43×#3311C2semidirect
35. #14583634C22semidirect
36. #14583631C22semidirect
38. #14583612C22semidirect
39. #14583608C22semidirect
42. #14583583C22semidirect
47. #14583564C22semidirect
49. #14583549C22semidirect
52. #14583540C22semidirect
53. #14583537C22semidirect
55. D4×D172C22semidirect
56. D4×C22⋊D43C22semidirect
57. #14583522C22semidirect
58. #14583522C22semidirect
59. #14583522C22semidirect
60. #14583502C22semidirect
65. #14583450C22semidirect
68. #14583428C22semidirect
72. #14583382C22semidirect
73. #14583374C22semidirect
74. #14583373C22semidirect
75. #14583373C22semidirect
76. C4×#10621902C22semidirect
77. C4×D4×D43C22semidirect
78. #14583306C22semidirect
79. #14583305C22semidirect
80. #14583296C22semidirect
81. #14583289C22semidirect
82. #14583285C22semidirect
83. #14583284C22semidirect
84. #14583264C22semidirect
85. #14583260C22semidirect
86. #14583260C22semidirect
87. #14583255C22semidirect
88. #14583244C22semidirect
89. #14583239C22semidirect
90. #14583237C22semidirect
91. #14583227C22semidirect
92. #14583224C22semidirect
93. #14583223C22semidirect
94. #14583223C22semidirect
95. #14583222C22semidirect
96. #14583219C22semidirect
97. #14583219C22semidirect
98. #14583218C22semidirect
99. #14583206C22semidirect
100. #14583202C22semidirect
101. #14583200C22semidirect
102. #14583198C22semidirect
103. #14583188C22semidirect
104. #14583187C22semidirect
105. #14583187C22semidirect
106. #14583186C22semidirect
107. #14583182C22semidirect
108. #14583178C22semidirect
109. #14583177C22semidirect
111. #14583151C22semidirect
112. #14583151C22semidirect
113. #14583150C22semidirect
114. #14583148C22semidirect
115. #14583148C22semidirect
116. #14583147C22semidirect
117. #14583135C22semidirect
118. #14583130C22semidirect
119. #14583130C22semidirect
120. #14583123C22semidirect
121. #14583117C22semidirect
122. #14583117C22semidirect
123. #14583116C22semidirect
124. #14583116C22semidirect
125. #14583116C22semidirect
126. #14583111C22semidirect
127. #14583095C22semidirect
130. #14583093C22semidirect
131. #14583060C22semidirect
132. #14583049C22semidirect
136. #14583035C22semidirect
137. #14583034C22semidirect
138. #14583034C22semidirect
140. #14583032C22semidirect
141. #14583028C22semidirect
142. #14583027C22semidirect
143. #14583012C22semidirect
144. #14583010C22semidirect
145. #14583010C22semidirect
148. #14583008C22semidirect
149. #14583008C22semidirect
150. #14583008C22semidirect
151. #14583008C22semidirect
152. #14583008C22semidirect
153. #14583006C22semidirect
154. #14583002C22semidirect
155. #14583002C22semidirect
156. #14583000C22semidirect
157. #14582997C22semidirect
158. SD16×Dic43C22semidirect
159. #14582984C22semidirect
160. #14582984C22semidirect
161. #14582984C22semidirect
162. #14582984C22semidirect
163. #14582981C22semidirect
166. #14582979C22semidirect
167. #14582979C22semidirect
168. #14582979C22semidirect
169. #14582979C22semidirect
170. #14582975C22semidirect
171. #14582974C22semidirect
172. #14582971C22semidirect
173. #14582970C22semidirect
174. #14582967C22semidirect
175. #14582957C22semidirect
176. #14582957C22semidirect
177. #14582955C22semidirect
178. #14582942C22semidirect
179. #14582940C22semidirect
180. #14582935C22semidirect
181. #14582905C22semidirect
182. #14582902C22semidirect
183. #14582899C22semidirect
184. C2×#13063247C22semidirect
185. #14582857C22semidirect
186. #14582854C22semidirect
187. #14582851C22semidirect
188. C43×#556C22semidirect
190. C43×#489C22semidirect
191. C43×#485C22semidirect
192. C43×#482C22semidirect
193. C43×#476C22semidirect
194. C43×#470C22semidirect
195. C43×#465C22semidirect
196. C43×#464C22semidirect
197. C43×#452C22semidirect
198. C43×#450C22semidirect
199. C43×#440C22semidirect
200. C43×#435C22semidirect
201. C43×#418C22semidirect
202. C43×#416C22semidirect
618. #10621882#41semidirect
882. #3311D43semidirect
917. #556C2×D43semidirect
969. #489C2×D43semidirect
974. #485C2×D43semidirect
980. #482C2×D43semidirect
992. #476C2×D43semidirect
996. #470C2×D43semidirect
1007. #465C2×D43semidirect
1009. #464C2×D43semidirect
1021. #452C2×D43semidirect
1023. #450C2×D43semidirect
1049. #440C2×D43semidirect
1067. #435C2×D43semidirect
1076. #418C2×D43semidirect
1078. #416C2×D43semidirect
1083. C43#61505semidirect

Maximal subgroups

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

subgroupindex
#191485592
#191485242
#191476822
#191474892
#191473842
#191473492
#191471882
#191471402
#191471142
#191468332
#191468172
#191467472
#191467382
#191465622
#191461992
#191460792
#191460762
#191452732
#191452132
#191451932
#191448652
#191448342
#191447822
#191447802
#191447032
#191446882
#191435772
#191434432
#191434302
#191434002
C43×#33112
#6150543