Finite Group Databasebeta

← #25982721

Subgroups — #25982721

Order 11008.

2146 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148831C211yesmaximal, characteristic, complemented
2#19148241C211yesmaximal, characteristic, complemented
3#19146769C211yesmaximal, characteristic, complemented
4#19146763C211yesmaximal, characteristic, complemented
5#19146762C211yesmaximal, characteristic, complemented
6#19146760C211yesmaximal, characteristic, complemented
7#19146498C211yesmaximal, characteristic, complemented
8#19146496C211yesmaximal, characteristic, complemented
9#19146495C211yesmaximal, characteristic, complemented
10D4×#10621873C211yesmaximal, characteristic, complemented
11SD16×D172C211yesmaximal, characteristic, complemented
12#19146288C211yesmaximal, characteristic, complemented
13#19146284C211yesmaximal, characteristic, complemented
14#19146096C211yesmaximal, characteristic, complemented
15#19146093C211yesmaximal, characteristic, complemented
16#19146091C211yesmaximal, characteristic, complemented
17#19146087C211yesmaximal, characteristic, complemented
18#19145659C211yesmaximal, characteristic, complemented
19#19145653C211yesmaximal, characteristic, complemented
20#19145466C211yesmaximal, characteristic, complemented
21#19145461C211yesmaximal, characteristic, complemented
22#19145359C211yesmaximal, characteristic, complemented
23#19145355C211yesmaximal, characteristic, complemented
24#19144888C211yesmaximal, characteristic, complemented
25#19144883C211yesmaximal, characteristic, complemented
26#19143884C211yesmaximal, characteristic, complemented
27#19143878C211yesmaximal, characteristic, complemented
28C2×#14583039C211yesmaximal, characteristic, complemented
29#448×D43C211yesmaximal, characteristic, complemented
30#19143648C211yesmaximal, characteristic, complemented
31C43×#3301C211yesmaximal, characteristic, complemented
32C2×#13063372C2211yescharacteristic, complemented
33C22×Q8×D43C2211yescharacteristic, complemented
34C2×#13063350C2211yescharacteristic, complemented
35C2×#13063349C2211yescharacteristic, complemented
36C22×#10621873C2211yescharacteristic, complemented
37C22×#10621873C2211yescharacteristic, complemented
38C22×#10621884C2211yescharacteristic, complemented
39C2×SD16×D43C2211yescharacteristic, complemented
40C2×SD16×D43C2211yescharacteristic, complemented
41C2×SD16×D43C2211yescharacteristic, complemented
42#14583640—21no—
43#14583639—21no—
44#14583602C2211yescharacteristic
45#14583597C2211yescharacteristic
46#14583593C2211yescharacteristic
47Q8×D172C2211yescharacteristic, complemented
48D4×Dic86—21no—
49D4×Dic86C2211yescharacteristic, complemented
50Q8×C22⋊D43C2211yescharacteristic, complemented
51#14583562—21no—
52#14583562C2211yescharacteristic, complemented
53#14583557—21no—
54#14583557C2211yescharacteristic, complemented
55#14583556C2211yescharacteristic, complemented
56#14583555—21no—
57#14583555C2211yescharacteristic, complemented
58D4×D172—21no—
59D4×D172C2211yescharacteristic
60D4×D172C2211yescharacteristic
61#14583533—21no—
62#14583533C2211yescharacteristic
63#14583533C2211yescharacteristic
64#14583505C2211yescharacteristic
65#14583500C2211yescharacteristic
66#14583488—21no—
67#14583482—21no—
68#14583472—21no—
69#14583472C2211yescharacteristic, complemented
70#14583469—21no—
71#14583469C2211yescharacteristic, complemented
72#14583468C2211yescharacteristic
73#14583465C2211yescharacteristic
74#14583460—21no—
75#14583457—21no—
76#14583409—21no—
77#14583409C2211yescharacteristic, complemented
78#14583408—21no—
79#14583408C2211yescharacteristic
80C2×#13063300C2211yescharacteristic
81#121×D43C2211yescharacteristic
82#14583375C2211yescharacteristic, complemented
83#14583289C2211yescharacteristic, complemented
84#14583287C2211yescharacteristic, complemented
85#14583272C2211yescharacteristic, complemented
86#14583270C2211yescharacteristic, complemented
87#14583269C2211yescharacteristic, complemented
88#14583266C2211yescharacteristic, complemented
89#14583252C2211yescharacteristic, complemented
90#14583243C2211yescharacteristic, complemented
91#14583240C2211yescharacteristic, complemented
92#14583238C2211yescharacteristic, complemented
93#14583236C2211yescharacteristic, complemented
94#14583234C2211yescharacteristic, complemented
95#14583226C2211yescharacteristic, complemented
96#14583225C2211yescharacteristic, complemented
97#14583225C2211yescharacteristic, complemented
98#14583222C2211yescharacteristic, complemented
99#14583216C2211yescharacteristic, complemented
100#14583209C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583203C2211yescharacteristic, complemented
103#14583148C2211yescharacteristic, complemented
104#14583147C2211yescharacteristic, complemented
105#14583146C2211yescharacteristic, complemented
106#14583143C2211yescharacteristic, complemented
107#14583134C2211yescharacteristic, complemented
108#14583134C2211yescharacteristic, complemented
109#14583133C2211yescharacteristic, complemented
110#14583131C2211yescharacteristic, complemented
111#14583129C2211yescharacteristic, complemented
112#14583129C2211yescharacteristic, complemented
113#14583129C2211yescharacteristic, complemented
114#14583128C2211yescharacteristic, complemented
115#14583128C2211yescharacteristic, complemented
116#14583126C2211yescharacteristic, complemented
117#14583113C2211yescharacteristic, complemented
118#14583113C2211yescharacteristic, complemented
119#14583111C2211yescharacteristic, complemented
120#14583105C2211yescharacteristic, complemented
121#14583104C2211yescharacteristic, complemented
122#14583103C2211yescharacteristic, complemented
123#14583103C2211yescharacteristic, complemented
124#14583100C2211yescharacteristic, complemented
125#14583099C2211yescharacteristic, complemented
126#14583098C2211yescharacteristic, complemented
127#14583097C2211yescharacteristic, complemented
128#14583052C2211yescharacteristic, complemented
129#14583052C2211yescharacteristic, complemented
130#14583051C2211yescharacteristic, complemented
131#14583051C2211yescharacteristic, complemented
132#14583049C2211yescharacteristic, complemented
133#14583048C2211yescharacteristic, complemented
134#14583045C2211yescharacteristic, complemented
135#14583045C2211yescharacteristic, complemented
136#14583045C2211yescharacteristic, complemented
137#14583045C2211yescharacteristic, complemented
138#14583045C2211yescharacteristic, complemented
139#14583044C2211yescharacteristic, complemented
140#14583041C2211yescharacteristic, complemented
141#14583040C2211yescharacteristic, complemented
142#14583040C2211yescharacteristic, complemented
143#14583039C2211yescharacteristic, complemented
144#14583039C2211yescharacteristic, complemented
145#14583039C2211yescharacteristic, complemented
146#14583039C2211yescharacteristic, complemented
147#14583039C2211yescharacteristic, complemented
148#14583039C2211yescharacteristic, complemented
149#14583039C2211yescharacteristic, complemented
150#14583039C2211yescharacteristic, complemented
151#14583039C2211yescharacteristic, complemented
152#14583039C2211yescharacteristic, complemented
153#14583039C2211yescharacteristic, complemented
154#14583039C2211yescharacteristic, complemented
155#14583038C2211yescharacteristic, complemented
156#14583037C2211yescharacteristic, complemented
157#14583037C2211yescharacteristic, complemented
158#14583036C2211yescharacteristic, complemented
159#14583036C2211yescharacteristic, complemented
160#14583032C2211yescharacteristic, complemented
161#14583031C2211yescharacteristic, complemented
162#14583002C2211yescharacteristic, complemented
163#14582999C2211yescharacteristic, complemented
164#14582998C2211yescharacteristic, complemented
165#14582997C2211yescharacteristic, complemented
166C4×#10621873C2211yescharacteristic, complemented
167#14582986C2211yescharacteristic, complemented
168#14582984C2211yescharacteristic, complemented
169#14582973C2211yescharacteristic, complemented
170#14582971C2211yescharacteristic, complemented
171#14582970C2211yescharacteristic, complemented
172#14582969C2211yescharacteristic, complemented
173C8×D172C2211yescharacteristic, complemented
174C8×C22⋊D43C2211yescharacteristic, complemented
175(C22⋊D43)⋊C8C2211yescharacteristic, complemented
176#14582959C2211yescharacteristic, complemented
177#14582958C2211yescharacteristic, complemented
178#14582907C2211yescharacteristic, complemented
179#14582906C2211yescharacteristic, complemented
180#14582892C2211yescharacteristic, complemented
181C2×#13063248C2211yescharacteristic, complemented
182#103×D43C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#14582865C2211yescharacteristic, complemented
185#14582864C2211yescharacteristic, complemented
186C2×(C2×D43)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D43C2211yescharacteristic, complemented
188C43×#553C2211yescharacteristic
189C43×#548C2211yescharacteristic, complemented
190C43×#488C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#481C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#466C2211yescharacteristic, complemented
195C43×#465C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic, complemented
198C43×#448C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C8×D4×C43C2211yescharacteristic, complemented
201C43×#416C2211yescharacteristic, complemented
202C2×#103×C43C2211yescharacteristic, complemented
203#13063372—42no—
204#13063372—42no—
205C2×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C2×#10621900—21no—
209C2×#10621900C2311yescharacteristic
210C2×#10621900C2311yescharacteristic
211C22×Dic86—21no—
212C22×Dic86—21no—
213C22×Dic86C2311yescharacteristic
214C22×Dic86C2311yescharacteristic
215C2×Q8×D43—21no—
216C2×Q8×D43—21no—
217C2×Q8×D43—42no—
218C2×Q8×D43—42no—
219C2×Q8×D43C2311yescharacteristic
220C2×Q8×D43C2311yescharacteristic
221C2×Q8×D43C2311yescharacteristic
222C2×Q8×D43C2311yescharacteristic
223C2×Q8×D43C2311yescharacteristic
224C22×D172—21no—
225C22×D172—21no—
226C22×D172C2311yescharacteristic
227C22×D172C2311yescharacteristic
228C2×D4×D43—21no—
229C2×D4×D43—21no—
230C2×D4×D43—21no—
231C2×D4×D43—21no—
232C2×D4×D43C2311yescharacteristic
233C2×D4×D43C2311yescharacteristic
234C22×C4×D43—21no—
235C22×C4×D43C2311yescharacteristic
236#13063350—42no—
237#13063349—42no—
238C2×#10621873—42no—
239C2×#10621873—42no—
240C2×#10621873C2311yescharacteristic
241C2×#10621873C2311yescharacteristic
242C2×#10621873C2311yescharacteristic
243C2×#10621873C2311yescharacteristic
244C2×#10621873C2311yescharacteristic
245C2×#10621873C2311yescharacteristic
246C2×#10621873C2311yescharacteristic
247C2×#10621873C2311yescharacteristic
248C2×#10621873C2311yescharacteristic
249C2×#10621883C2311yescharacteristic
250C2×#10621883C2311yescharacteristic
251C2×#10621883C2311yescharacteristic
252C2×#10621884—42no—
253C2×#10621884C2311yescharacteristic
254C2×#10621884C2311yescharacteristic
255C2×#10621884C2311yescharacteristic
256C2×#10621884C2311yescharacteristic
257C2×#10621884C2311yescharacteristic
258C2×#10621884C2311yescharacteristic
259SD16×D43—42no—
260SD16×D43—42no—
261SD16×D43—42no—
262C2×#10621882C2311yescharacteristic
263C2×#10621882C2311yescharacteristic
264C2×#10621882C2311yescharacteristic
265C2×#10621877C2311yescharacteristic
266C2×#10621872C2311yescharacteristic
267C22×C43⋊C8C2311yescharacteristic
268C2×C8×D43C2311yescharacteristic
269C2×C8×D43C2311yescharacteristic
270C2×C8×D43C2311yescharacteristic
271#13063325—21no—
272#13063325C2311yescharacteristic
273#13063324—21no—
274#13063324—21no—
275#13063324—21no—
276#13063323—21no—
277#13063323C2311yescharacteristic
278#13063322—21no—
279#13063322C2311yescharacteristic
280#13063321—21no—
281#13063321C2311yescharacteristic
282#13063320—21no—
283#13063320—21no—
284#13063319—21no—
285#13063316C2311yescharacteristic
286#13063313—21no—
287#13063312—21no—
288#13063312C2311yescharacteristic
289#13063311—21no—
290#13063311—21no—
291#13063311—21no—
292#13063311—21no—
293#13063310—21no—
294#13063310—21no—
295#13063310—21no—
296#13063310—21no—
297#13063310—21no—
298#13063310D411yescharacteristic
299#13063308—21no—
300#13063307—21no—
301#13063307—21no—
302#13063307—21no—
303#13063307—21no—
304#13063307—21no—
305#13063307—21no—
306#13063307D411yescharacteristic
307#13063305—21no—
308#13063305—21no—
309#13063305C2311yescharacteristic
310#13063305C2311yescharacteristic
311#13063304—21no—
312#13063304—21no—
313#13063304C2311yescharacteristic
314#13063304C2311yescharacteristic
315#13063303—21no—
316#13063303D411yescharacteristic
317#13063302—21no—
318#13063302—21no—
319#13063302—21no—
320#13063302—21no—
321#13063302—21no—
322#13063302—21no—
323#13063302—21no—
324#13063302D411yescharacteristic
325#13063301—21no—
326#13063301C2311yescharacteristic
327#13063300—21no—
328#13063300—21no—
329#13063300—21no—
330#13063300—21no—
331#13063300—21no—
332#13063300—21no—
333#13063300C2311yescharacteristic
334#13063300C2311yescharacteristic
335#13063300C2311yescharacteristic
336#13063300C2311yescharacteristic
337#13063300C2311yescharacteristic
338#13063300C2311yescharacteristic
339#13063300C2311yescharacteristic
340#13063299—21no—
341#13063299—21no—
342#13063299—21no—
343#13063299C2311yescharacteristic
344#13063299C2311yescharacteristic
345#13063298—21no—
346#13063298—21no—
347#13063298—21no—
348#13063298—21no—
349#13063298—21no—
350#13063298—21no—
351#13063298D411yescharacteristic
352#13063297—21no—
353#13063297—21no—
354#13063297D411yescharacteristic
355#13063296—21no—
356#13063296C2311yescharacteristic
357#13063296C2311yescharacteristic
358#13063295—21no—
359#13063295—21no—
360#13063295—21no—
361#13063295—21no—
362#13063295—21no—
363#13063295—21no—
364#13063295—21no—
365#13063295—21no—
366#13063295—21no—
367#13063295D411yescharacteristic
368#13063293—21no—
369#13063293—21no—
370#13063293—21no—
371#13063293—21no—
372#13063293D411yescharacteristic
373Q8×Dic43C2311yescharacteristic
374C4×Dic86—21no—
375C4×Dic86C2311yescharacteristic
376#13063290—21no—
377#13063290C2311yescharacteristic
378C4×D172—21no—
379C4×D172—21no—
380C4×D172C2311yescharacteristic
381C4×D172C2311yescharacteristic
382D4×Dic43—21no—
383D4×Dic43—21no—
384D4×Dic43—21no—
385#13063287—21no—
386#13063287C2311yescharacteristic
387#13063287C2311yescharacteristic
388C4×C22⋊D43—21no—
389C4×C22⋊D43—21no—
390C4×C22⋊D43—21no—
391C4×C22⋊D43C2311yescharacteristic
392C4×C22⋊D43C2311yescharacteristic
393(C22⋊D43)⋊C4—21no—
394(C22⋊D43)⋊C4—21no—
395(C22⋊D43)⋊C4—21no—
396#13063283—21no—
397#13063283C2311yescharacteristic
398#13063283C2311yescharacteristic
399#13063282—21no—
400#13063282C2311yescharacteristic
401C4⋊C4×D43C2311yescharacteristic
402C2×(C2×D43)⋊C4—21no—
403C22⋊C4×D43—21no—
404#13063258C2311yescharacteristic
405#13063258C2311yescharacteristic
406#13063258C2311yescharacteristic
407#13063257C2311yescharacteristic
408#13063256C2311yescharacteristic
409C4⋊(C43⋊C8)C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411Dic43⋊C8C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063248C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063247C2311yescharacteristic
428#13063247C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434C22⋊(C43⋊C8)C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436(C2×D43)⋊C8C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441(C2×D43)⋊C8C2311yescharacteristic
442(C2×D43)⋊C8C2311yescharacteristic
443(C2×D43)⋊C8C2311yescharacteristic
444#13063236C2311yescharacteristic
445#13063235C2311yescharacteristic
446C8×Dic43C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C22×Q8×C43C2311yescharacteristic
449C2×SD16×C43C2311yescharacteristic
450C2×SD16×C43C2311yescharacteristic
451C2×D8×C43C2311yescharacteristic
452C22×C8×C43C2311yescharacteristic
453C22×C8×C43C2311yescharacteristic
454#126×C43—21no—
455#125×C43C2311yescharacteristic
456#124×C43—21no—
457#124×C43C2311yescharacteristic
458#123×C43—21no—
459C22⋊Q8×C43—21no—
460C22⋊Q8×C43C2311yescharacteristic
461#121×C43—21no—
462#121×C43—21no—
463#121×C43C2311yescharacteristic
464#121×C43C2311yescharacteristic
465#121×C43C2311yescharacteristic
466C4×Q8×C43C2311yescharacteristic
467C4×D4×C43—21no—
468C4×D4×C43—21no—
469C4×D4×C43C2311yescharacteristic
470C4×D4×C43C2311yescharacteristic
471#117×C43C2311yescharacteristic
472C2×C4⋊C4×C43C2311yescharacteristic
473#107×C43C2311yescharacteristic
474#106×C43C2311yescharacteristic
475#106×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#103×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486#102×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C23×D43—21no—
491C23×D43—21no—
492C23×D43—21no—
493C23×D43—21no—
494C23×D43C2×D411yescharacteristic
495#41×C43—22no—
496#41×C43—41no—
497C2×Q8×C43—21no—
498C2×Q8×C43—22no—
499C2×Q8×C43—41no—
500C2×Q8×C43C2411yescharacteristic
501C2×Q8×C43C2411yescharacteristic
502C2×D4×C43—21no—
503C2×D4×C43—21no—
504C2×D4×C43—21no—
505C2×D4×C43—21no—
506C2×D4×C43C2×D411yescharacteristic
507C2×D4×C43C2411yescharacteristic
508C2×D4×C43C2411yescharacteristic
509C22×C4×C43—21no—
510C22×C4×C43—21no—
511C22×C4×C43—21no—
512C22×C4×C43—21no—
513C22×C4×C43C2411yescharacteristic
514C22×C4×C43C2411yescharacteristic
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43C2×D411yescharacteristic
526C2×C22⋊D43C2×D411yescharacteristic
527C2×C22⋊D43C2×D411yescharacteristic
528C2×C22⋊D43C2×D411yescharacteristic
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43—21no—
532C22×Dic43—21no—
533C22×Dic43C2×D411yescharacteristic
534Q8×D43—22no—
535Q8×D43—22no—
536Q8×D43—22no—
537Q8×D43—22no—
538Q8×D43—22no—
539Q8×D43—41no—
540Q8×D43—41no—
541Q8×D43—41no—
542Q8×D43—41no—
543Q8×D43—41no—
544Q8×D43—44no—
545Q8×D43—44no—
546#10621900—22no—
547#10621900—41no—
548#10621900—41no—
549#10621900—41no—
550#10621900—44no—
551#10621900—44no—
552D4×D43—41no—
553D4×D43—41no—
554D4×D43—41no—
555D4×D43—41no—
556D4×D43—82no—
557D4×D43—82no—
558D4×D43—82no—
559D4×D43—82no—
560#10621898—41no—
561#10621898—41no—
562#10621898—44no—
563C2×D172—21no—
564C2×D172—21no—
565C2×D172—21no—
566C2×D172—21no—
567C2×D172—21no—
568C2×D172—21no—
569C2×D172—21no—
570C2×D172—21no—
571C2×D172—21no—
572C2×D172—21no—
573C2×D172—21no—
574C2×D172—41no—
575C2×D172—41no—
576C2×D172—41no—
577C2×D172—41no—
578C2×D172—82no—
579C2×D172—82no—
580C2×D172C2×D411yescharacteristic
581C2×D172C2×D411yescharacteristic
582C2×D172C2411yescharacteristic
583C2×D172C2411yescharacteristic
584C2×D172C2411yescharacteristic
585C2×C4×D43—21no—
586C2×C4×D43—21no—
587C2×C4×D43—21no—
588C2×C4×D43—21no—
589C2×C4×D43—21no—
590C2×C4×D43—21no—
591C2×C4×D43—21no—
592C2×C4×D43—21no—
593C2×C4×D43—21no—
594C2×C4×D43—41no—
595C2×C4×D43—41no—
596C2×C4×D43—44no—
597C2×C4×D43C2×D411yescharacteristic
598C2×C4×D43C2×D411yescharacteristic
599C2×C4×D43C2411yescharacteristic
600C2×C4×D43C2411yescharacteristic
601C2×C4×D43C2411yescharacteristic
602C2×Dic86—21no—
603C2×Dic86—22no—
604C2×Dic86—22no—
605C2×Dic86—21no—
606C2×Dic86—21no—
607C2×Dic86—21no—
608C2×Dic86—21no—
609C2×Dic86—21no—
610C2×Dic86—21no—
611C2×Dic86—41no—
612C2×Dic86—41no—
613C2×Dic86—44no—
614C2×Dic86—44no—
615C2×Dic86C2×D411yescharacteristic
616C2×Dic86C2411yescharacteristic
617C2×Dic86C2411yescharacteristic
618C2×Dic86C2411yescharacteristic
619SD16×C43—22no—
620SD16×C43—41no—
621D8×C43—41no—
622C2×C8×C43—41no—
623C2×C8×C43—41no—
624C2×C8×C43C2411yescharacteristic
625C2×C8×C43C2411yescharacteristic
626C2×C8×C43C2411yescharacteristic
627C2×C8×C43C2411yescharacteristic
628C4⋊C4×C43—21no—
629C4⋊C4×C43—21no—
630C4⋊C4×C43—21no—
631C4⋊C4×C43—21no—
632C4⋊C4×C43—21no—
633C4⋊C4×C43C2×D411yescharacteristic
634C4⋊C4×C43C2411yescharacteristic
635C4⋊C4×C43C2411yescharacteristic
636C4⋊C4×C43C2411yescharacteristic
637C4⋊C4×C43C2411yescharacteristic
638C22⋊C4×C43—21no—
639C22⋊C4×C43—21no—
640C22⋊C4×C43—21no—
641C22⋊C4×C43—21no—
642C22⋊C4×C43—21no—
643C22⋊C4×C43—21no—
644C22⋊C4×C43—21no—
645C22⋊C4×C43—21no—
646C22⋊C4×C43C2×D411yescharacteristic
647C22⋊C4×C43C2×D411yescharacteristic
648C42×C43—21no—
649C42×C43—21no—
650C42×C43C2411yescharacteristic
651C22⋊Dic43—21no—
652C22⋊Dic43—21no—
653C22⋊Dic43—21no—
654C22⋊Dic43—21no—
655C22⋊Dic43—21no—
656C22⋊Dic43—21no—
657C22⋊Dic43C2×D411yescharacteristic
658C22⋊Dic43C2×D411yescharacteristic
659#10621884—22no—
660#10621884—22no—
661#10621884—22no—
662#10621884—41no—
663#10621884—41no—
664#10621884—41no—
665#10621883—22no—
666#10621883—41no—
667#10621883—41no—
668#10621882—41no—
669#10621882—41no—
670#10621882—41no—
671(C2×D43)⋊C4—21no—
672(C2×D43)⋊C4—21no—
673(C2×D43)⋊C4—21no—
674(C2×D43)⋊C4—21no—
675(C2×D43)⋊C4—21no—
676(C2×D43)⋊C4—21no—
677(C2×D43)⋊C4—21no—
678(C2×D43)⋊C4—21no—
679(C2×D43)⋊C4—21no—
680(C2×D43)⋊C4—21no—
681(C2×D43)⋊C4—21no—
682(C2×D43)⋊C4—21no—
683(C2×D43)⋊C4—21no—
684(C2×D43)⋊C4—21no—
685(C2×D43)⋊C4—21no—
686(C2×D43)⋊C4—21no—
687(C2×D43)⋊C4—21no—
688(C2×D43)⋊C4C2×D411yescharacteristic
689(C2×D43)⋊C4C2×D411yescharacteristic
690(C2×D43)⋊C4C2×D411yescharacteristic
691(C2×D43)⋊C4C2×D411yescharacteristic
692(C2×D43)⋊C4C2×D411yescharacteristic
693(C2×D43)⋊C4C2×D411yescharacteristic
694C4⋊Dic43—21no—
695C4⋊Dic43—21no—
696C4⋊Dic43—21no—
697C4⋊Dic43—21no—
698C4⋊Dic43—21no—
699C4⋊Dic43—21no—
700C4⋊Dic43C2×D411yescharacteristic
701C4⋊Dic43C2411yescharacteristic
702C4⋊Dic43C2411yescharacteristic
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4—21no—
707Dic43⋊C4—21no—
708Dic43⋊C4—21no—
709Dic43⋊C4—21no—
710Dic43⋊C4—21no—
711Dic43⋊C4—21no—
712Dic43⋊C4C2×D411yescharacteristic
713Dic43⋊C4C2×D411yescharacteristic
714Dic43⋊C4C2×D411yescharacteristic
715Dic43⋊C4C2×D411yescharacteristic
716C4×Dic43—21no—
717C4×Dic43—21no—
718C4×Dic43—21no—
719C4×Dic43—21no—
720C4×Dic43—21no—
721C4×Dic43C2411yescharacteristic
722#10621877—41no—
723C2×C43⋊C8—41no—
724C2×C43⋊C8C2411yescharacteristic
725C2×C43⋊C8C2411yescharacteristic
726C2×C43⋊C8C2411yescharacteristic
727C2×C43⋊C8C2411yescharacteristic
728#10621873—22no—
729#10621873—22no—
730#10621873—22no—
731#10621873—41no—
732#10621873—41no—
733#10621873—41no—
734#10621873—41no—
735#10621873—41no—
736#10621873—41no—
737#10621872—41no—
738C8×D43—41no—
739C8×D43—41no—
740C8×D43—41no—
741C23×C43—21no—
742C23×C43—21no—
743C23×C43C22×D411yescharacteristic
744C23×C43C22×D411yescharacteristic
745C22×D43—22no—
746C22×D43—22no—
747C22×D43—21no—
748C22×D43—21no—
749C22×D43—21no—
750C22×D43—41no—
751C22×D43—42no—
752C22×D43—42no—
753C22×D43—81no—
754C22×D43—81no—
755C22×D43—81no—
756C22×D43—81no—
757C22×D43—81no—
758C22×D43—81no—
759C22×D43—81no—
760C22×D43—81no—
761C22×D43—81no—
762C22×D43—81no—
763C22×D43C22×D411yescharacteristic
764C22×D43C22×D411yescharacteristic
765C22×D43C22×D411yescharacteristic
766Q8×C43—21no—
767Q8×C43—21no—
768Q8×C43—21no—
769Q8×C43—42no—
770Q8×C43H(5,𝔽2)12yes—
771D4×C43—22no—
772D4×C43—21no—
773D4×C43—21no—
774D4×C43—21no—
775D4×C43—21no—
776D4×C43—42no—
777D4×C43—42no—
778D4×C43—42no—
779D4×C43—81no—
780C2×C4×C43—21no—
781C2×C4×C43—21no—
782C2×C4×C43—21no—
783C2×C4×C43—21no—
784C2×C4×C43—21no—
785C2×C4×C43—21no—
786C2×C4×C43—21no—
787C2×C4×C43—21no—
788C2×C4×C43—21no—
789C2×C4×C43—21no—
790C2×C4×C43—42no—
791C2×C4×C43—42no—
792C2×C4×C43—81no—
793C2×C4×C43—81no—
794C2×C4×C43C22×D411yescharacteristic
795C2×C4×C43C22×D411yescharacteristic
796C2×C4×C43C22×D411yescharacteristic
797C2×C4×C43C22×D411yescharacteristic
798C2×C4×C43C2511yescharacteristic
799C22⋊D43—22no—
800C22⋊D43—22no—
801C22⋊D43—41no—
802C22⋊D43—41no—
803C22⋊D43—42no—
804C22⋊D43—42no—
805C22⋊D43—42no—
806C22⋊D43—42no—
807C22⋊D43—81no—
808C22⋊D43—81no—
809C22⋊D43—81no—
810C22⋊D43—81no—
811C22⋊D43—81no—
812C22⋊D43—81no—
813C2×Dic43—21no—
814C2×Dic43—21no—
815C2×Dic43—21no—
816C2×Dic43—21no—
817C2×Dic43—21no—
818C2×Dic43—41no—
819C2×Dic43—42no—
820C2×Dic43—42no—
821C2×Dic43—42no—
822C2×Dic43—42no—
823C2×Dic43C22×D411yescharacteristic
824C2×Dic43C22×D411yescharacteristic
825C2×Dic43C22×D411yescharacteristic
826C2×Dic43C22×D411yescharacteristic
827C2×Dic43C22×D411yescharacteristic
828D172—22no—
829D172—21no—
830D172—21no—
831D172—21no—
832D172—21no—
833D172—21no—
834D172—21no—
835D172—41no—
836D172—42no—
837D172—42no—
838D172—81no—
839D172—81no—
840D172—81no—
841D172—81no—
842D172—81no—
843D172—81no—
844D172—81no—
845D172—81no—
846D172—81no—
847C4×D43—24no—
848C4×D43—21no—
849C4×D43—21no—
850C4×D43—21no—
851C4×D43—21no—
852C4×D43—21no—
853C4×D43—21no—
854C4×D43—41no—
855C4×D43—41no—
856C4×D43—42no—
857C4×D43—42no—
858C4×D43—42no—
859C4×D43—42no—
860C4×D43—81no—
861C4×D43—81no—
862C4×D43—81no—
863C4×D43—81no—
864Dic86—24no—
865Dic86—21no—
866Dic86—21no—
867Dic86—21no—
868Dic86—21no—
869Dic86—21no—
870Dic86—41no—
871Dic86—42no—
872Dic86—42no—
873Dic86—42no—
874Dic86—42no—
875Dic86—42no—
876Dic86—42no—
877Dic86H(5,𝔽2)12yes—
878C8×C43—21no—
879C8×C43—21no—
880C8×C43—21no—
881C8×C43—21no—
882C43⋊C8—21no—
883C43⋊C8—21no—
884C43⋊C8—21no—
885C43⋊C8—21no—
886#61633—431nomaximal, Sylow
887C22×C43—21no—
888C22×C43—21no—
889C22×C43—21no—
890C22×C43—21no—
891C22×C43—21no—
892C22×C43—41no—
893C22×C43—41no—
894C22×C43—41no—
895C22×C43—41no—
896C22×C43—41no—
897C22×C43—41no—
898C22×C43#57712yes—
899C22×C43C23×D411yescharacteristic
900C2×D43—21no—
901C2×D43—21no—
902C2×D43—21no—
903C2×D43—21no—
904C2×D43—21no—
905C2×D43—21no—
906C2×D43—21no—
907C2×D43—21no—
908C2×D43—44no—
909C2×D43—41no—
910C2×D43—41no—
911C2×D43—41no—
912C2×D43—41no—
913C2×D43—41no—
914C2×D43—41no—
915C2×D43—41no—
916C2×D43—41no—
917C2×D43—41no—
918C2×D43—162no—
919C2×D43—162no—
920C2×D43—162no—
921C2×D43—162no—
922C2×D43#57712yes—
923C4×C43—22no—
924C4×C43—21no—
925C4×C43—21no—
926C4×C43—21no—
927C4×C43—21no—
928C4×C43—41no—
929C4×C43—41no—
930C4×C43—41no—
931C4×C43—41no—
932C4×C43—41no—
933C4×C43C2×H(5,𝔽2)11yescharacteristic
934C4×C43C2×H(5,𝔽2)11yescharacteristic
935Dic43—21no—
936Dic43—22no—
937Dic43—21no—
938Dic43—21no—
939Dic43—21no—
940Dic43—21no—
941Dic43—41no—
942Dic43—41no—
943Dic43—41no—
944Dic43—41no—
945#3537—431no—
946#3486—431no—
947#3320—431no—
948#3320—431no—
949#3320—431no—
950#3320—431no—
951#3301—431no—
952#3301—431no—
953#3301—431no—
954#3301D4311yescharacteristic, complemented
955D4×SD16—431no—
956D4×SD16—431no—
957D4×SD16—431no—
958D4×SD16—431no—
959#3265—431no—
960#3265—431no—
961#3265—431no—
962#3265—431no—
963#3221—431no—
964#3221—431no—
965#3200—431no—
966#3200—431no—
967#3188—431no—
968#3188—431no—
969#3126—431no—
970#3126—431no—
971#3010—431no—
972#3010—431no—
973C2×#448—431no—
974C2×#448—431no—
975#2977—431no—
976C2×C43—22no—
977C2×C43—41no—
978C2×C43—81no—
979C2×C43—81no—
980C2×C43#348411yescharacteristic
981C2×C43C2×#57711yescharacteristic
982C2×C43C2×#57711yescharacteristic
983D43—22no—
984D43—41no—
985D43—41no—
986D43—81no—
987D43—81no—
988D43—81no—
989C2×2−1+4—431no—
990C23×Q8—431no—
991C2×AGL(1,ℤ/8)—431no—
992C2×AGL(1,ℤ/8)—431no—
993C22×SD16—431no—
994C22×SD16—431no—
995C22×SD16—431no—
996C22×SD16—431no—
997C22×SD16—431no—
998C22×SD16—431no—
999#560—861no—
1000#560—861no—
1001#553—431no—
1002#553—431no—
1003#553—431no—
1004#553C2×D4311yescharacteristic
1005D4×Q8—431no—
1006D4×Q8—431no—
1007D4×Q8—431no—
1008D4×Q8—431no—
1009D4×Q8—861no—
1010D4×Q8—861no—
1011#548—431no—
1012#548—431no—
1013#548—431no—
1014#548—861no—
1015#548—861no—
1016#548C2×D4311yescharacteristic, complemented
1017D42—431no—
1018D42—431no—
1019D42—431no—
1020D42—431no—
1021D42—861no—
1022D42—861no—
1023#540—431no—
1024#540—431no—
1025#538—861no—
1026#538—861no—
1027#536—431no—
1028#536—431no—
1029#536—861no—
1030#536—861no—
1031#535—431no—
1032#535—431no—
1033#534—861no—
1034#534—861no—
1035#525—431no—
1036#525—431no—
1037#525—861no—
1038#525—861no—
1039C2×#121—431no—
1040C2×#121—431no—
1041#519—431no—
1042#496—431no—
1043#496—431no—
1044#492—431no—
1045#492—431no—
1046#491—431no—
1047#491—431no—
1048#488—431no—
1049#488C2×D4311yescharacteristic, complemented
1050#485—431no—
1051#485—431no—
1052#485—431no—
1053#485C2×D4311yescharacteristic, complemented
1054#484—431no—
1055#484—431no—
1056#482—431no—
1057#482—431no—
1058#482—431no—
1059#482—431no—
1060#481—431no—
1061#481C2×D4311yescharacteristic, complemented
1062#479—431no—
1063#479—431no—
1064#479—431no—
1065#479C2×D4311yescharacteristic, complemented
1066#468—431no—
1067#468—431no—
1068#468—431no—
1069#468—431no—
1070#466—431no—
1071#466—431no—
1072#466—431no—
1073#466C2×D4311yescharacteristic, complemented
1074#465—431no—
1075#465—431no—
1076#465—431no—
1077#465—431no—
1078#465—431no—
1079#465—431no—
1080#465—431no—
1081#465C2×D4311yescharacteristic, complemented
1082#463—431no—
1083#463—431no—
1084#463—431no—
1085#463C2×D4311yescharacteristic, complemented
1086#461—431no—
1087#461—431no—
1088#461—431no—
1089#461—431no—
1090#460—431no—
1091#460—431no—
1092#460—431no—
1093#460—431no—
1094#450—431no—
1095#450—431no—
1096#450—431no—
1097#450—431no—
1098#450—431no—
1099#450—431no—
1100#449—431no—
1101#449—431no—
1102#449—431no—
1103#449—431no—
1104#449—431no—
1105#449—431no—
1106#449—431no—
1107#449C2×D4311yescharacteristic, complemented
1108#448—431no—
1109#448—431no—
1110#448—431no—
1111#448—431no—
1112#448—431no—
1113#448—431no—
1114#448—431no—
1115#448—431no—
1116#448—431no—
1117#448—431no—
1118#448—431no—
1119#448—431no—
1120#448—431no—
1121#448—431no—
1122#448—431no—
1123#448—431no—
1124#448—431no—
1125#448—431no—
1126#448—431no—
1127#448C2×D4311yescharacteristic, complemented
1128#447—431no—
1129#447—431no—
1130#440—431no—
1131#440—431no—
1132#440—431no—
1133#440—431no—
1134C4×SD16—431no—
1135C4×SD16—431no—
1136C4×SD16—431no—
1137C4×SD16C2×D4311yescharacteristic, complemented
1138#435—431no—
1139#435—431no—
1140#435—431no—
1141#435—431no—
1142C8×D4—431no—
1143C8×D4—431no—
1144C8×D4—431no—
1145C8×D4C2×D4311yescharacteristic, complemented
1146#433—431no—
1147#433—431no—
1148#419—431no—
1149#419—431no—
1150#416—431no—
1151#416C2×D4311yescharacteristic, complemented
1152C2×#103—431no—
1153C2×#103—431no—
1154C2×#103—431no—
1155C2×#103C2×D4311yescharacteristic, complemented
1156#408—431no—
1157#408—431no—
1158C2×C22⋊C8—431no—
1159C2×C22⋊C8—431no—
1160C43#6163311yescharacteristic, complemented, Sylow
11612−1+4—1722no—
11622−1+4—1722no—
1163C2×#41—431no—
1164C2×#41—431no—
1165C2×#41—431no—
1166C2×#41—861no—
1167C2×#41—861no—
1168C2×#41—861no—
1169C2×#41C22×D4311yescharacteristic
1170C22×Q8—431no—
1171C22×Q8—431no—
1172C22×Q8—431no—
1173C22×Q8—431no—
1174C22×Q8—431no—
1175C22×Q8—431no—
1176C22×Q8—431no—
1177C22×Q8—861no—
1178C22×Q8—861no—
1179C22×Q8—861no—
1180C22×Q8—861no—
1181C22×Q8—1722no—
1182C22×Q8—1722no—
1183C22×Q8C22×D4311yescharacteristic
1184C22×D4—431no—
1185C22×D4—431no—
1186C22×D4—431no—
1187C22×D4—431no—
1188C22×D4—861no—
1189C22×D4—861no—
1190C22×D4—861no—
1191C22×D4—861no—
1192C22×D4—861no—
1193C22×D4—861no—
1194C23×C4—431no—
1195C23×C4—861no—
1196AGL(1,ℤ/8)—1722no—
1197AGL(1,ℤ/8)—1722no—
1198C2×SD16—431no—
1199C2×SD16—431no—
1200C2×SD16—431no—
1201C2×SD16—431no—
1202C2×SD16—431no—
1203C2×SD16—431no—
1204C2×SD16—431no—
1205C2×SD16—431no—
1206C2×SD16—431no—
1207C2×SD16—431no—
1208C2×SD16—431no—
1209C2×SD16—431no—
1210C2×SD16—431no—
1211C2×SD16—431no—
1212C2×SD16—431no—
1213C2×SD16—431no—
1214C2×SD16—431no—
1215C2×SD16—431no—
1216C2×SD16—1722no—
1217C2×SD16—1722no—
1218C2×SD16—1722no—
1219C2×SD16—1722no—
1220C2×SD16—1722no—
1221C2×SD16—1722no—
1222C2×SD16C22×D4311yescharacteristic
1223C2×SD16C22×D4311yescharacteristic
1224C2×D8—431no—
1225C2×D8—431no—
1226C2×D8—431no—
1227C2×D8C22×D4311yescharacteristic
1228C2×M16—431no—
1229C2×M16—431no—
1230C22×C8—431no—
1231C22×C8—431no—
1232C22×C8—431no—
1233C22×C8—431no—
1234C22×C8C22×D4311yescharacteristic
1235C22×C8C22×D4311yescharacteristic
1236C4⋊Q8—431no—
1237C4⋊Q8—431no—
1238C4⋊Q8—861no—
1239C4⋊Q8—861no—
1240C4⋊Q8—861no—
1241C4⋊Q8—861no—
1242C4⋊Q8—861no—
1243#127—431no—
1244#127—431no—
1245#127—861no—
1246#127—861no—
1247#126—21no—
1248#126—861no—
1249#126—861no—
1250#126—861no—
1251#125—431no—
1252#125C22×D4311yescharacteristic
1253#124—21no—
1254#124—431no—
1255#124—861no—
1256#124—861no—
1257#124—861no—
1258#124—861no—
1259#124—861no—
1260#124—861no—
1261#124C22×D4311yescharacteristic
1262#123—21no—
1263#123—431no—
1264#123—431no—
1265#123—861no—
1266#123—861no—
1267#123—861no—
1268#123—861no—
1269#123—861no—
1270#123—861no—
1271#123—861no—
1272#123—861no—
1273#123—861no—
1274#123—861no—
1275#123—861no—
1276#123—861no—
1277C22⋊Q8—21no—
1278C22⋊Q8—431no—
1279C22⋊Q8—431no—
1280C22⋊Q8—431no—
1281C22⋊Q8—431no—
1282C22⋊Q8—431no—
1283C22⋊Q8—431no—
1284C22⋊Q8—431no—
1285C22⋊Q8—861no—
1286C22⋊Q8—861no—
1287C22⋊Q8—861no—
1288C22⋊Q8—861no—
1289C22⋊Q8—861no—
1290C22⋊Q8—861no—
1291C22⋊Q8—861no—
1292C22⋊Q8—861no—
1293C22⋊Q8—861no—
1294C22⋊Q8—861no—
1295C22⋊Q8—861no—
1296C22⋊Q8—861no—
1297C22⋊Q8—861no—
1298C22⋊Q8C22×D4311yescharacteristic
1299#121—21no—
1300#121—21no—
1301#121—431no—
1302#121—431no—
1303#121—431no—
1304#121—431no—
1305#121—431no—
1306#121—431no—
1307#121—431no—
1308#121—431no—
1309#121—431no—
1310#121—431no—
1311#121—431no—
1312#121—431no—
1313#121—431no—
1314#121—861no—
1315#121—861no—
1316#121—861no—
1317#121—861no—
1318#121—861no—
1319#121—861no—
1320#121—861no—
1321#121—861no—
1322#121—861no—
1323#121—861no—
1324#121—861no—
1325#121—861no—
1326#121—861no—
1327#121—861no—
1328#121—861no—
1329#121—861no—
1330#121—861no—
1331#121—861no—
1332#121C22×D4311yescharacteristic
1333#121C22×D4311yescharacteristic
1334#121C22×D4311yescharacteristic
1335#120—431no—
1336#120—431no—
1337#120—861no—
1338#120—861no—
1339#120—861no—
1340#120—861no—
1341#120—861no—
1342#120—861no—
1343#120—861no—
1344#120—861no—
1345#120—861no—
1346#120—861no—
1347#120—861no—
1348#120—861no—
1349#120—861no—
1350C4×Q8—431no—
1351C4×Q8—431no—
1352C4×Q8—431no—
1353C4×Q8—861no—
1354C4×Q8—861no—
1355C4×Q8C22×D4311yescharacteristic
1356C4×D4—21no—
1357C4×D4—21no—
1358C4×D4—431no—
1359C4×D4—431no—
1360C4×D4—431no—
1361C4×D4—431no—
1362C4×D4—431no—
1363C4×D4—431no—
1364C4×D4—861no—
1365C4×D4—861no—
1366C4×D4—861no—
1367C4×D4—861no—
1368C4×D4—861no—
1369C4×D4—861no—
1370C4×D4—861no—
1371C4×D4—861no—
1372C4×D4—861no—
1373C4×D4—861no—
1374C4×D4—861no—
1375C4×D4—861no—
1376C4×D4C22×D4311yescharacteristic
1377C4×D4C22×D4311yescharacteristic
1378#117—431no—
1379#117—431no—
1380#117—431no—
1381#117—861no—
1382#117—861no—
1383#117C22×D4311yescharacteristic
1384C2×C4⋊C4—431no—
1385C2×C4⋊C4C22×D4311yescharacteristic
1386C2×C22⋊C4—861no—
1387C2×C22⋊C4—861no—
1388#107—431no—
1389#107—431no—
1390#107—431no—
1391#107C22×D4311yescharacteristic
1392#106—431no—
1393#106—431no—
1394#106C22×D4311yescharacteristic
1395#106C22×D4311yescharacteristic
1396C4⋊C8—431no—
1397C4⋊C8—431no—
1398C4⋊C8—431no—
1399C4⋊C8C22×D4311yescharacteristic
1400#103—431no—
1401#103—431no—
1402#103—431no—
1403#103—431no—
1404#103—431no—
1405#103—431no—
1406#103—431no—
1407#103—431no—
1408#103—431no—
1409#103—431no—
1410#103—431no—
1411#103—431no—
1412#103—431no—
1413#103—431no—
1414#103C22×D4311yescharacteristic
1415#103C22×D4311yescharacteristic
1416#103C22×D4311yescharacteristic
1417#103C22×D4311yescharacteristic
1418#103C22×D4311yescharacteristic
1419#103C22×D4311yescharacteristic
1420#102—431no—
1421#102—431no—
1422#102—431no—
1423#102—431no—
1424#102—431no—
1425#102—431no—
1426#102—431no—
1427#102—431no—
1428#102C22×D4311yescharacteristic
1429#102C22×D4311yescharacteristic
1430#102C22×D4311yescharacteristic
1431#102C22×D4311yescharacteristic
1432C22⋊C8—431no—
1433C22⋊C8—431no—
1434C22⋊C8—431no—
1435C22⋊C8—431no—
1436C22⋊C8—431no—
1437C22⋊C8—431no—
1438C22⋊C8—431no—
1439C22⋊C8—431no—
1440C22⋊C8—431no—
1441C22⋊C8—431no—
1442C22⋊C8C22×D4311yescharacteristic
1443C22⋊C8C22×D4311yescharacteristic
1444#97—431no—
1445#97—431no—
1446C4×C8—431no—
1447C4×C8C22×D4311yescharacteristic
1448C24—431no—
1449C24—861no—
1450C24—861no—
1451C24—861no—
1452C24—861no—
1453#41—22no—
1454#41—41no—
1455#41—862no—
1456#41—1721no—
1457#41—1721no—
1458#41—1724no—
1459#41—1721no—
1460#41—1721no—
1461#41—1721no—
1462#41—1724no—
1463#41—1724no—
1464C2×Q8—21no—
1465C2×Q8—22no—
1466C2×Q8—41no—
1467C2×Q8—431no—
1468C2×Q8—431no—
1469C2×Q8—431no—
1470C2×Q8—431no—
1471C2×Q8—861no—
1472C2×Q8—861no—
1473C2×Q8—861no—
1474C2×Q8—861no—
1475C2×Q8—861no—
1476C2×Q8—862no—
1477C2×Q8—862no—
1478C2×Q8—862no—
1479C2×Q8—862no—
1480C2×Q8—861no—
1481C2×Q8—861no—
1482C2×Q8—862no—
1483C2×Q8—862no—
1484C2×Q8—862no—
1485C2×Q8—1721no—
1486C2×Q8—1721no—
1487C2×Q8—1724no—
1488C2×Q8—1724no—
1489C2×Q8—1721no—
1490C2×Q8—1721no—
1491C2×Q8—1721no—
1492C2×Q8—1721no—
1493C2×Q8—1721no—
1494C2×Q8—1724no—
1495C2×Q8—1724no—
1496C2×Q8C23×D4311yescharacteristic
1497C2×Q8C23×D4311yescharacteristic
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—431no—
1503C2×D4—431no—
1504C2×D4—431no—
1505C2×D4—431no—
1506C2×D4—431no—
1507C2×D4—431no—
1508C2×D4—431no—
1509C2×D4—431no—
1510C2×D4—431no—
1511C2×D4—861no—
1512C2×D4—861no—
1513C2×D4—861no—
1514C2×D4—861no—
1515C2×D4—861no—
1516C2×D4—861no—
1517C2×D4—861no—
1518C2×D4—861no—
1519C2×D4—861no—
1520C2×D4—861no—
1521C2×D4—861no—
1522C2×D4—861no—
1523C2×D4—861no—
1524C2×D4—861no—
1525C2×D4—861no—
1526C2×D4—861no—
1527C2×D4—861no—
1528C2×D4—861no—
1529C2×D4—861no—
1530C2×D4—861no—
1531C2×D4—861no—
1532C2×D4—3442no—
1533C2×D4—3442no—
1534C2×D4—3442no—
1535C2×D4—3442no—
1536C2×D4—3442no—
1537C2×D4—3442no—
1538C2×D4—1721no—
1539C2×D4—1721no—
1540C2×D4—1721no—
1541C2×D4—1721no—
1542C2×D4—1721no—
1543C2×D4—1721no—
1544C2×D4—1721no—
1545C2×D4—1721no—
1546C2×D4D4×D4311yescharacteristic
1547C2×D4C23×D4311yescharacteristic
1548C2×D4C23×D4311yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—431no—
1554C22×C4—431no—
1555C22×C4—431no—
1556C22×C4—431no—
1557C22×C4—431no—
1558C22×C4—431no—
1559C22×C4—861no—
1560C22×C4—861no—
1561C22×C4—861no—
1562C22×C4—861no—
1563C22×C4—861no—
1564C22×C4—861no—
1565C22×C4—861no—
1566C22×C4—861no—
1567C22×C4—861no—
1568C22×C4—861no—
1569C22×C4—861no—
1570C22×C4—861no—
1571C22×C4—861no—
1572C22×C4—1721no—
1573C22×C4—1721no—
1574C22×C4—1724no—
1575C22×C4C23×D4311yescharacteristic
1576C22×C4C23×D4311yescharacteristic
1577SD16—22no—
1578SD16—41no—
1579SD16—862no—
1580SD16—862no—
1581SD16—862no—
1582SD16—862no—
1583SD16—862no—
1584SD16—862no—
1585SD16—862no—
1586SD16—1721no—
1587SD16—1721no—
1588SD16—1721no—
1589SD16—1721no—
1590SD16—1721no—
1591SD16—1721no—
1592SD16—1721no—
1593SD16—1721no—
1594SD16—1721no—
1595SD16—1721no—
1596SD16—1721no—
1597D8—41no—
1598D8—1721no—
1599D8—1721no—
1600D8—1721no—
1601M16—1721no—
1602M16—1721no—
1603C2×C8—41no—
1604C2×C8—41no—
1605C2×C8—431no—
1606C2×C8—431no—
1607C2×C8—431no—
1608C2×C8—431no—
1609C2×C8—1721no—
1610C2×C8—1721no—
1611C2×C8—1721no—
1612C2×C8—1721no—
1613C2×C8C23×D4311yescharacteristic
1614C2×C8C23×D4311yescharacteristic
1615C2×C8C23×D4311yescharacteristic
1616C2×C8C23×D4311yescharacteristic
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—431no—
1623C4⋊C4—431no—
1624C4⋊C4—431no—
1625C4⋊C4—431no—
1626C4⋊C4—431no—
1627C4⋊C4—431no—
1628C4⋊C4—431no—
1629C4⋊C4—861no—
1630C4⋊C4—861no—
1631C4⋊C4—861no—
1632C4⋊C4—861no—
1633C4⋊C4—861no—
1634C4⋊C4—861no—
1635C4⋊C4—861no—
1636C4⋊C4—861no—
1637C4⋊C4—861no—
1638C4⋊C4—861no—
1639C4⋊C4—861no—
1640C4⋊C4—861no—
1641C4⋊C4—861no—
1642C4⋊C4—861no—
1643C4⋊C4—861no—
1644C4⋊C4D4×D4311yescharacteristic
1645C4⋊C4C23×D4311yescharacteristic
1646C4⋊C4C23×D4311yescharacteristic
1647C4⋊C4C23×D4311yescharacteristic
1648C4⋊C4C23×D4311yescharacteristic
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—431no—
1658C22⋊C4—431no—
1659C22⋊C4—431no—
1660C22⋊C4—431no—
1661C22⋊C4—431no—
1662C22⋊C4—431no—
1663C22⋊C4—431no—
1664C22⋊C4—431no—
1665C22⋊C4—861no—
1666C22⋊C4—861no—
1667C22⋊C4—861no—
1668C22⋊C4—861no—
1669C22⋊C4—861no—
1670C22⋊C4—861no—
1671C22⋊C4—861no—
1672C22⋊C4—861no—
1673C22⋊C4—861no—
1674C22⋊C4—861no—
1675C22⋊C4—861no—
1676C22⋊C4—861no—
1677C22⋊C4—861no—
1678C22⋊C4—861no—
1679C22⋊C4—861no—
1680C22⋊C4—861no—
1681C22⋊C4—861no—
1682C22⋊C4—861no—
1683C22⋊C4—861no—
1684C22⋊C4—861no—
1685C22⋊C4—861no—
1686C22⋊C4—861no—
1687C22⋊C4—861no—
1688C22⋊C4D4×D4311yescharacteristic
1689C22⋊C4D4×D4311yescharacteristic
1690C42—21no—
1691C42—21no—
1692C42—431no—
1693C42—861no—
1694C42—861no—
1695C42—861no—
1696C42—861no—
1697C42—861no—
1698C42C23×D4311yescharacteristic
1699C23—21no—
1700C23—21no—
1701C23—431no—
1702C23—431no—
1703C23—431no—
1704C23—862no—
1705C23—862no—
1706C23—861no—
1707C23—861no—
1708C23—861no—
1709C23—3441no—
1710C23—3441no—
1711C23—3441no—
1712C23—3441no—
1713C23—3441no—
1714C23—3441no—
1715C23—3441no—
1716C23—3441no—
1717C23—3441no—
1718C23—3441no—
1719C23—1721no—
1720C23—1722no—
1721C23—1722no—
1722C23C2×D4×D4311yescharacteristic
1723C23C2×D4×D4311yescharacteristic
1724Q8—21no—
1725Q8—21no—
1726Q8—21no—
1727Q8—42no—
1728Q8—432no—
1729Q8—864no—
1730Q8—861no—
1731Q8—861no—
1732Q8—861no—
1733Q8—861no—
1734Q8—861no—
1735Q8—1721no—
1736Q8—1722no—
1737Q8—1722no—
1738Q8—1722no—
1739Q8—1722no—
1740Q8—1722no—
1741Q8—1722no—
1742Q8#1306337112yes—
1743D4—22no—
1744D4—21no—
1745D4—21no—
1746D4—21no—
1747D4—21no—
1748D4—42no—
1749D4—42no—
1750D4—42no—
1751D4—81no—
1752D4—862no—
1753D4—862no—
1754D4—862no—
1755D4—861no—
1756D4—861no—
1757D4—861no—
1758D4—861no—
1759D4—861no—
1760D4—861no—
1761D4—3441no—
1762D4—3441no—
1763D4—3441no—
1764D4—3441no—
1765D4—3441no—
1766D4—3441no—
1767D4—3441no—
1768D4—3441no—
1769D4—3441no—
1770D4—3441no—
1771D4—3441no—
1772D4—3441no—
1773D4—3441no—
1774D4—3441no—
1775D4—3441no—
1776D4—1721no—
1777D4—1722no—
1778D4—1722no—
1779D4—1721no—
1780D4—1721no—
1781D4—1722no—
1782D4—1722no—
1783D4—1722no—
1784D4—1722no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—42no—
1796C2×C4—42no—
1797C2×C4—81no—
1798C2×C4—81no—
1799C2×C4—431no—
1800C2×C4—431no—
1801C2×C4—431no—
1802C2×C4—431no—
1803C2×C4—431no—
1804C2×C4—864no—
1805C2×C4—861no—
1806C2×C4—861no—
1807C2×C4—861no—
1808C2×C4—861no—
1809C2×C4—861no—
1810C2×C4—861no—
1811C2×C4—861no—
1812C2×C4—861no—
1813C2×C4—861no—
1814C2×C4—861no—
1815C2×C4—861no—
1816C2×C4—3441no—
1817C2×C4—3441no—
1818C2×C4—3441no—
1819C2×C4—3441no—
1820C2×C4—1721no—
1821C2×C4—1721no—
1822C2×C4—1722no—
1823C2×C4—1722no—
1824C2×C4—1722no—
1825C2×C4—1722no—
1826C2×C4—1721no—
1827C2×C4—1722no—
1828C2×C4—1722no—
1829C2×C4—1722no—
1830C2×C4—1722no—
1831C2×C4C2×D4×D4311yescharacteristic
1832C2×C4C2×D4×D4311yescharacteristic
1833C2×C4C2×D4×D4311yescharacteristic
1834C2×C4C2×D4×D4311yescharacteristic
1835C2×C4C24×D4311yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—861no—
1841C8—861no—
1842C8—861no—
1843C8—861no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—432no—
1856C22—861no—
1857C22—861no—
1858C22—861no—
1859C22—861no—
1860C22—861no—
1861C22—861no—
1862C22—861no—
1863C22—861no—
1864C22—1724no—
1865C22—1721no—
1866C22—1721no—
1867C22—1721no—
1868C22—1721no—
1869C22—1721no—
1870C22—1721no—
1871C22—1721no—
1872C22—1721no—
1873C22—1721no—
1874C22—6882no—
1875C22—6882no—
1876C22—6882no—
1877C22—6882no—
1878C22#1458370612yes—
1879C22C22×D4×D4311yescharacteristic
1880C4—21no—
1881C4—21no—
1882C4—21no—
1883C4—21no—
1884C4—22no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—861no—
1891C4—861no—
1892C4—861no—
1893C4—861no—
1894C4—861no—
1895C4—862no—
1896C4—1721no—
1897C4—1721no—
1898C4—1721no—
1899C4—1721no—
1900C4H(5,𝔽2)×D4311yescharacteristic
1901C4C2×#1306337111yescharacteristic
1902C2—22no—
1903C2—41no—
1904C2—81no—
1905C2—81no—
1906C2—862no—
1907C2—3441no—
1908C2—3441no—
1909C2—3441no—
1910C2—1721no—
1911C2—1721no—
1912C2#1914822511yescharacteristic
1913C2#577×D4311yescharacteristic
1914C2C2×#1458370611yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3301C2
socleC22×C43C23×D4
hypercenter#3301D43
hypocenterC43#61633
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3301

Complements

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

NH ≅ G/Ntype
1. #19148831C2semidirect
2. #19148241C2semidirect
3. #19146769C2semidirect
4. #19146763C2semidirect
5. #19146762C2semidirect
6. #19146760C2semidirect
7. #19146498C2semidirect
8. #19146496C2semidirect
9. #19146495C2semidirect
10. D4×#10621873C2semidirect
11. SD16×D172C2semidirect
12. #19146288C2semidirect
13. #19146284C2semidirect
14. #19146096C2semidirect
15. #19146093C2semidirect
16. #19146091C2semidirect
17. #19146087C2semidirect
18. #19145659C2semidirect
19. #19145653C2semidirect
20. #19145466C2semidirect
21. #19145461C2semidirect
22. #19145359C2semidirect
23. #19145355C2semidirect
24. #19144888C2semidirect
25. #19144883C2semidirect
26. #19143884C2semidirect
27. #19143878C2semidirect
28. C2×#14583039C2semidirect
29. #448×D43C2semidirect
30. #19143648C2semidirect
31. C43×#3301C2semidirect
32. C2×#13063372C22semidirect
33. C22×Q8×D43C22semidirect
34. C2×#13063350C22semidirect
35. C2×#13063349C22semidirect
36. C22×#10621873C22semidirect
37. C22×#10621873C22semidirect
38. C22×#10621884C22semidirect
39. C2×SD16×D43C22semidirect
40. C2×SD16×D43C22semidirect
41. C2×SD16×D43C22semidirect
47. Q8×D172C22semidirect
49. D4×Dic86C22semidirect
50. Q8×C22⋊D43C22semidirect
52. #14583562C22semidirect
54. #14583557C22semidirect
55. #14583556C22semidirect
57. #14583555C22semidirect
69. #14583472C22semidirect
71. #14583469C22semidirect
77. #14583409C22semidirect
82. #14583375C22semidirect
83. #14583289C22semidirect
84. #14583287C22semidirect
85. #14583272C22semidirect
86. #14583270C22semidirect
87. #14583269C22semidirect
88. #14583266C22semidirect
89. #14583252C22semidirect
90. #14583243C22semidirect
91. #14583240C22semidirect
92. #14583238C22semidirect
93. #14583236C22semidirect
94. #14583234C22semidirect
95. #14583226C22semidirect
96. #14583225C22semidirect
97. #14583225C22semidirect
98. #14583222C22semidirect
99. #14583216C22semidirect
100. #14583209C22semidirect
101. #14583204C22semidirect
102. #14583203C22semidirect
103. #14583148C22semidirect
104. #14583147C22semidirect
105. #14583146C22semidirect
106. #14583143C22semidirect
107. #14583134C22semidirect
108. #14583134C22semidirect
109. #14583133C22semidirect
110. #14583131C22semidirect
111. #14583129C22semidirect
112. #14583129C22semidirect
113. #14583129C22semidirect
114. #14583128C22semidirect
115. #14583128C22semidirect
116. #14583126C22semidirect
117. #14583113C22semidirect
118. #14583113C22semidirect
119. #14583111C22semidirect
120. #14583105C22semidirect
121. #14583104C22semidirect
122. #14583103C22semidirect
123. #14583103C22semidirect
124. #14583100C22semidirect
125. #14583099C22semidirect
126. #14583098C22semidirect
127. #14583097C22semidirect
128. #14583052C22semidirect
129. #14583052C22semidirect
130. #14583051C22semidirect
131. #14583051C22semidirect
132. #14583049C22semidirect
133. #14583048C22semidirect
134. #14583045C22semidirect
135. #14583045C22semidirect
136. #14583045C22semidirect
137. #14583045C22semidirect
138. #14583045C22semidirect
139. #14583044C22semidirect
140. #14583041C22semidirect
141. #14583040C22semidirect
142. #14583040C22semidirect
143. #14583039C22semidirect
144. #14583039C22semidirect
145. #14583039C22semidirect
146. #14583039C22semidirect
147. #14583039C22semidirect
148. #14583039C22semidirect
149. #14583039C22semidirect
150. #14583039C22semidirect
151. #14583039C22semidirect
152. #14583039C22semidirect
153. #14583039C22semidirect
154. #14583039C22semidirect
155. #14583038C22semidirect
156. #14583037C22semidirect
157. #14583037C22semidirect
158. #14583036C22semidirect
159. #14583036C22semidirect
160. #14583032C22semidirect
161. #14583031C22semidirect
162. #14583002C22semidirect
163. #14582999C22semidirect
164. #14582998C22semidirect
165. #14582997C22semidirect
166. C4×#10621873C22semidirect
167. #14582986C22semidirect
168. #14582984C22semidirect
169. #14582973C22semidirect
170. #14582971C22semidirect
171. #14582970C22semidirect
172. #14582969C22semidirect
173. C8×D172C22semidirect
174. C8×C22⋊D43C22semidirect
175. (C22⋊D43)⋊C8C22semidirect
176. #14582959C22semidirect
177. #14582958C22semidirect
178. #14582907C22semidirect
179. #14582906C22semidirect
180. #14582892C22semidirect
181. C2×#13063248C22semidirect
182. #103×D43C22semidirect
183. #103×D43C22semidirect
184. #14582865C22semidirect
185. #14582864C22semidirect
186. C2×(C2×D43)⋊C8C22semidirect
187. C22⋊C8×D43C22semidirect
189. C43×#548C22semidirect
190. C43×#488C22semidirect
191. C43×#485C22semidirect
192. C43×#481C22semidirect
193. C43×#479C22semidirect
194. C43×#466C22semidirect
195. C43×#465C22semidirect
196. C43×#463C22semidirect
197. C43×#449C22semidirect
198. C43×#448C22semidirect
199. C4×SD16×C43C22semidirect
200. C8×D4×C43C22semidirect
201. C43×#416C22semidirect
202. C2×#103×C43C22semidirect
954. #3301D43semidirect
1016. #548C2×D43semidirect
1049. #488C2×D43semidirect
1053. #485C2×D43semidirect
1061. #481C2×D43semidirect
1065. #479C2×D43semidirect
1073. #466C2×D43semidirect
1081. #465C2×D43semidirect
1085. #463C2×D43semidirect
1107. #449C2×D43semidirect
1127. #448C2×D43semidirect
1137. C4×SD16C2×D43semidirect
1145. C8×D4C2×D43semidirect
1151. #416C2×D43semidirect
1155. C2×#103C2×D43semidirect
1160. C43#61633semidirect

Maximal subgroups

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

subgroupindex
#191488312
#191482412
#191467692
#191467632
#191467622
#191467602
#191464982
#191464962
#191464952
D4×#106218732
SD16×D1722
#191462882
#191462842
#191460962
#191460932
#191460912
#191460872
#191456592
#191456532
#191454662
#191454612
#191453592
#191453552
#191448882
#191448832
#191438842
#191438782
C2×#145830392
#448×D432
#191436482
C43×#33012
#6163343