Finite Group Databasebeta

← #25979788

Subgroups — #25979788

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#19148666C211yesmaximal, characteristic, complemented
2#19148628C211yesmaximal, characteristic, complemented
3#19147617C211yesmaximal, characteristic, complemented
4#19147422C211yesmaximal, characteristic, complemented
5#19147302C211yesmaximal, characteristic, complemented
6#19147199C211yesmaximal, characteristic, complemented
7#19147139C211yesmaximal, characteristic, complemented
8#19147109C211yesmaximal, characteristic, complemented
9#19146823C211yesmaximal, characteristic, complemented
10#19146793C211yesmaximal, characteristic, complemented
11#19146748C211yesmaximal, characteristic, complemented
12#19146733C211yesmaximal, characteristic, complemented
13#19146613C211yesmaximal, characteristic, complemented
14#19146568C211yesmaximal, characteristic, complemented
15#19146196C211yesmaximal, characteristic, complemented
16#19146077C211yesmaximal, characteristic, complemented
17#19146077C211yesmaximal, characteristic, complemented
18#19145283C211yesmaximal, characteristic, complemented
19#19145225C211yesmaximal, characteristic, complemented
20#19145192C211yesmaximal, characteristic, complemented
21#19144849C211yesmaximal, characteristic, complemented
22#19144840C211yesmaximal, characteristic, complemented
23#19144799C211yesmaximal, characteristic, complemented
24#19144786C211yesmaximal, characteristic, complemented
25#19144748C211yesmaximal, characteristic, complemented
26#19144738C211yesmaximal, characteristic, complemented
27#19143579C211yesmaximal, characteristic, complemented
28#19143442C211yesmaximal, characteristic, complemented
29#19143424C211yesmaximal, characteristic, complemented
30#19143406C211yesmaximal, characteristic, complemented
31C43×#3389C211yesmaximal, characteristic, complemented
32C2×#13063349C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×D8×D43C2211yescharacteristic
35#14583623C2211yescharacteristic, complemented
36#14583622C2211yescharacteristic, complemented
37#14583615C2211yescharacteristic
38#14583602C2211yescharacteristic
39#14583602C2211yescharacteristic, complemented
40#14583602C2211yescharacteristic, complemented
41#14583597—21no—
42#14583597—21no—
43#14583591—21no—
44#14583587C2211yescharacteristic, complemented
45#14583576—21no—
46#14583576—21no—
47#14583571C2211yescharacteristic, complemented
48#14583553C2211yescharacteristic, complemented
49#14583544C2211yescharacteristic, complemented
50#14583544C2211yescharacteristic, complemented
51#14583540—21no—
52#14583540—21no—
53#14583540—21no—
54D4×D172C2211yescharacteristic
55D4×D172C2211yescharacteristic
56D4×D172C2211yescharacteristic, complemented
57#14583523C2211yescharacteristic, complemented
58#14583512C2211yescharacteristic, complemented
59#14583505C2211yescharacteristic
60#14583505C2211yescharacteristic, complemented
61#14583498—21no—
62#14583489—21no—
63#14583489—21no—
64#14583489—21no—
65#14583450C2211yescharacteristic, complemented
66#14583436C2211yescharacteristic
67#14583435—21no—
68#14583434C2211yescharacteristic, complemented
69C2×#13063320—21no—
70#14583412—21no—
71C2×#13063300—21no—
72#14583378C2211yescharacteristic, complemented
73#14583371C2211yescharacteristic
74#14583371C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic, complemented
76C4×#10621900C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic, complemented
78#14583288C2211yescharacteristic, complemented
79#14583288C2211yescharacteristic, complemented
80#14583272C2211yescharacteristic, complemented
81#14583269C2211yescharacteristic, complemented
82#14583265C2211yescharacteristic, complemented
83#14583265C2211yescharacteristic, complemented
84#14583261C2211yescharacteristic, complemented
85#14583256C2211yescharacteristic, complemented
86#14583247C2211yescharacteristic, complemented
87#14583243C2211yescharacteristic, complemented
88#14583242C2211yescharacteristic, complemented
89#14583242C2211yescharacteristic, complemented
90#14583231C2211yescharacteristic, complemented
91#14583226C2211yescharacteristic, complemented
92#14583226C2211yescharacteristic, complemented
93#14583226C2211yescharacteristic, complemented
94#14583226C2211yescharacteristic, complemented
95#14583225C2211yescharacteristic, complemented
96#14583219C2211yescharacteristic, complemented
97#14583214C2211yescharacteristic, complemented
98#14583214C2211yescharacteristic, complemented
99#14583203C2211yescharacteristic, complemented
100#14583196C2211yescharacteristic, complemented
101#14583196C2211yescharacteristic, complemented
102#14583196C2211yescharacteristic, complemented
103#14583186C2211yescharacteristic, complemented
104#14583181C2211yescharacteristic, complemented
105#14583153C2211yescharacteristic, complemented
106#14583153C2211yescharacteristic, complemented
107#14583153C2211yescharacteristic, complemented
108#14583146C2211yescharacteristic, complemented
109#14583146C2211yescharacteristic, complemented
110#14583146C2211yescharacteristic, complemented
111#14583146C2211yescharacteristic, complemented
112#14583146C2211yescharacteristic, complemented
113#14583136C2211yescharacteristic, complemented
114#14583129C2211yescharacteristic, complemented
115#14583129C2211yescharacteristic, complemented
116#14583129C2211yescharacteristic, complemented
117#14583115C2211yescharacteristic, complemented
118#14583115C2211yescharacteristic, complemented
119#14583114C2211yescharacteristic
120#14583114C2211yescharacteristic
121#14583105C2211yescharacteristic, complemented
122#14583104C2211yescharacteristic, complemented
123#14583100C2211yescharacteristic, complemented
124#14583100C2211yescharacteristic, complemented
125#14583095C2211yescharacteristic, complemented
126#14583094C2211yescharacteristic, complemented
127#14583094C2211yescharacteristic, complemented
128#14583094C2211yescharacteristic, complemented
129#14583051C2211yescharacteristic
130#14583051C2211yescharacteristic
131#14583051C2211yescharacteristic, complemented
132#14583051C2211yescharacteristic, complemented
133#14583045C2211yescharacteristic, complemented
134#14583045C2211yescharacteristic, complemented
135#14583045C2211yescharacteristic, complemented
136#14583045C2211yescharacteristic, complemented
137#14583034C2211yescharacteristic
138#14583034C2211yescharacteristic
139#14583034C2211yescharacteristic, complemented
140#14583034C2211yescharacteristic, complemented
141#14583030C2211yescharacteristic, complemented
142#14583010C2211yescharacteristic, complemented
143#14583009C2211yescharacteristic
144#14583009C2211yescharacteristic, complemented
145#14583009C2211yescharacteristic, complemented
146#14583008C2211yescharacteristic
147#14583008C2211yescharacteristic, complemented
148#14583008C2211yescharacteristic, complemented
149#14583001C2211yescharacteristic, complemented
150#14583001C2211yescharacteristic, complemented
151#14582999C2211yescharacteristic, complemented
152#14582998C2211yescharacteristic, complemented
153#14582998C2211yescharacteristic, complemented
154#14582998C2211yescharacteristic, complemented
155#14582996C2211yescharacteristic, complemented
156#14582990C2211yescharacteristic, complemented
157#14582986C2211yescharacteristic, complemented
158#14582986C2211yescharacteristic, complemented
159#14582986C2211yescharacteristic, complemented
160C4×#10621883C2211yescharacteristic, complemented
161C4×D344C2211yescharacteristic, complemented
162D8×Dic43C2211yescharacteristic
163#14582981C2211yescharacteristic, complemented
164#14582981C2211yescharacteristic, complemented
165C4×#10621882C2211yescharacteristic, complemented
166#14582979C2211yescharacteristic, complemented
167#14582978C2211yescharacteristic, complemented
168#14582976C2211yescharacteristic, complemented
169#14582972C2211yescharacteristic, complemented
170#14582972C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic, complemented
172#14582969C2211yescharacteristic, complemented
173#14582959C2211yescharacteristic, complemented
174#14582959C2211yescharacteristic, complemented
175#14582955C2211yescharacteristic, complemented
176#14582938C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic, complemented
178#14582936C2211yescharacteristic, complemented
179#14582902C2211yescharacteristic
180#14582902C2211yescharacteristic, complemented
181#14582902C2211yescharacteristic, complemented
182#14582897C2211yescharacteristic, complemented
183#14582892C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic, complemented
185#14582856C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187#14582851C2211yescharacteristic, complemented
188C43×#554C2211yescharacteristic, complemented
189C43×#554C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#501C2211yescharacteristic, complemented
192C43×#499C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#478C2211yescharacteristic, complemented
195C43×#478C2211yescharacteristic, complemented
196C43×#478C2211yescharacteristic, complemented
197C43×#474C2211yescharacteristic, complemented
198C43×#474C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#442C2211yescharacteristic
201C43×#442C2211yescharacteristic
202C4×D8×C43C2211yescharacteristic
203C2×#10621902—21no—
204C2×#10621902—21no—
205C2×#10621900C2311yescharacteristic
206C2×#10621900C2311yescharacteristic
207C22×D172—21no—
208C22×D172—21no—
209C22×D172—21no—
210C2×D4×D43C2311yescharacteristic
211C2×D4×D43C2311yescharacteristic
212C2×D4×D43C2311yescharacteristic
213C2×D4×D43C2311yescharacteristic
214C22×C4×D43—21no—
215#13063349—24no—
216#13063349—24no—
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621873C2311yescharacteristic
222C2×#10621873C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621883C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×D344C2311yescharacteristic
227C2×D344C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621882C2311yescharacteristic
231C2×#10621882C2311yescharacteristic
232D8×D43—24no—
233C2×#10621872C2311yescharacteristic
234C2×#10621872C2311yescharacteristic
235C2×#10621872C2311yescharacteristic
236C2×#10621872C2311yescharacteristic
237C2×C8×D43C2311yescharacteristic
238C2×C8×D43C2311yescharacteristic
239#13063325C2311yescharacteristic
240#13063322C2311yescharacteristic
241#13063322C2311yescharacteristic
242#13063322C2311yescharacteristic
243#13063320—21no—
244#13063320—21no—
245#13063320—21no—
246#13063320—21no—
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063320—21no—
252#13063320—21no—
253#13063320—21no—
254#13063320—21no—
255#13063320D411yescharacteristic
256#13063320D411yescharacteristic
257#13063316—21no—
258#13063316—21no—
259#13063316—21no—
260#13063316D411yescharacteristic
261#13063314—21no—
262#13063314—21no—
263#13063314—21no—
264#13063314—21no—
265#13063314—21no—
266#13063314D411yescharacteristic
267#13063313C2311yescharacteristic
268#13063313C2311yescharacteristic
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310—21no—
277#13063310—21no—
278#13063310—21no—
279#13063310D411yescharacteristic
280#13063310D411yescharacteristic
281#13063309—21no—
282#13063309—21no—
283#13063309—21no—
284#13063309—21no—
285#13063305C2311yescharacteristic
286#13063305C2311yescharacteristic
287#13063305C2311yescharacteristic
288#13063305C2311yescharacteristic
289#13063301—21no—
290#13063301—21no—
291#13063301D411yescharacteristic
292#13063300—21no—
293#13063300—21no—
294#13063300—21no—
295#13063300—21no—
296#13063300—21no—
297#13063300—21no—
298#13063300—21no—
299#13063300—21no—
300#13063300—21no—
301#13063300—21no—
302#13063300—21no—
303#13063300—21no—
304#13063300D411yescharacteristic
305#13063300C2311yescharacteristic
306#13063300C2311yescharacteristic
307#13063300C2311yescharacteristic
308#13063300C2311yescharacteristic
309#13063300C2311yescharacteristic
310#13063300C2311yescharacteristic
311#13063300C2311yescharacteristic
312#13063300C2311yescharacteristic
313#13063299—21no—
314#13063299—21no—
315#13063299—21no—
316#13063299—21no—
317#13063299—21no—
318#13063299—21no—
319#13063295—21no—
320#13063295—21no—
321#13063295—21no—
322#13063295—21no—
323#13063295—21no—
324#13063295—21no—
325#13063295—21no—
326#13063295—21no—
327Q8×Dic43—21no—
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330#13063290C2311yescharacteristic
331#13063290C2311yescharacteristic
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341#13063287—21no—
342#13063287—21no—
343#13063287—21no—
344#13063287—21no—
345#13063287—21no—
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362#13063283—21no—
363#13063283—21no—
364#13063283—21no—
365#13063283—21no—
366#13063283C2311yescharacteristic
367#13063283C2311yescharacteristic
368#13063283C2311yescharacteristic
369#13063283C2311yescharacteristic
370#13063282C2311yescharacteristic
371#13063282C2311yescharacteristic
372#13063281—21no—
373#13063281—21no—
374C2×C4⋊Dic43—21no—
375C2×Dic43⋊C4—21no—
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C2×(C2×D43)⋊C4—21no—
379C2×(C2×D43)⋊C4—21no—
380C2×(C2×D43)⋊C4—21no—
381C2×(C2×D43)⋊C4—21no—
382C2×(C2×D43)⋊C4—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C22⋊C4×D43—21no—
386C22⋊C4×D43—21no—
387C2×C4×Dic43—21no—
388C42×D43C2311yescharacteristic
389#13063259C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063248C2311yescharacteristic
402#13063248C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063245C2311yescharacteristic
414#13063245C2311yescharacteristic
415#13063245C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×D8×C43C2311yescharacteristic
439C4⋊Q8×C43C2311yescharacteristic
440C4⋊Q8×C43C2311yescharacteristic
441#125×C43C2311yescharacteristic
442#125×C43C2311yescharacteristic
443#125×C43C2311yescharacteristic
444#125×C43C2311yescharacteristic
445C22⋊Q8×C43—21no—
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43—21no—
450C22⋊Q8×C43—21no—
451C4×Q8×C43C2311yescharacteristic
452C4×D4×C43C2311yescharacteristic
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C2×C4⋊C4×C43—21no—
459C2×C4⋊C4×C43—21no—
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469C4⋊C8×C43C2311yescharacteristic
470C4⋊C8×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C23×D43—21no—
485C2×Q8×C43—21no—
486C2×Q8×C43—21no—
487C2×Q8×C43C2×D411yescharacteristic
488C2×D4×C43C2411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C22×Dic43—21no—
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506#10621902—82no—
507#10621902—82no—
508#10621900—22no—
509#10621900—22no—
510#10621900—41no—
511#10621900—41no—
512D4×D43—22no—
513D4×D43—22no—
514D4×D43—22no—
515D4×D43—22no—
516D4×D43—41no—
517D4×D43—41no—
518D4×D43—41no—
519D4×D43—41no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172—21no—
523C2×D172—21no—
524C2×D172—21no—
525C2×D172—21no—
526C2×D172—21no—
527C2×D172—21no—
528C2×D172—21no—
529C2×D172—21no—
530C2×D172—21no—
531C2×D172—21no—
532C2×D172—21no—
533C2×D172—21no—
534C2×D172—82no—
535C2×D172—82no—
536C2×D172—82no—
537C2×D172C2×D411yescharacteristic
538C2×D172C2×D411yescharacteristic
539C2×D172C2×D411yescharacteristic
540C2×D172C2411yescharacteristic
541C2×D172C2411yescharacteristic
542C2×D172C2411yescharacteristic
543C2×D172C2411yescharacteristic
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×C4×D43C2411yescharacteristic
559C2×C4×D43C2411yescharacteristic
560C2×Dic86C2411yescharacteristic
561C2×Dic86C2411yescharacteristic
562D8×C43#4114yescomplemented
563C2×C8×C43C2411yescharacteristic
564C2×C8×C43C2411yescharacteristic
565C2×C8×C43C2411yescharacteristic
566C2×C8×C43C2411yescharacteristic
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43—21no—
570C4⋊C4×C43—21no—
571C4⋊C4×C43—21no—
572C4⋊C4×C43—21no—
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43C2×D411yescharacteristic
578C4⋊C4×C43C2×D411yescharacteristic
579C4⋊C4×C43C2×D411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C4⋊C4×C43C2411yescharacteristic
582C4⋊C4×C43C2411yescharacteristic
583C4⋊C4×C43C2411yescharacteristic
584C4⋊C4×C43C2411yescharacteristic
585C4⋊C4×C43C2411yescharacteristic
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C42×C43C2411yescharacteristic
593C42×C43C2411yescharacteristic
594C42×C43C2411yescharacteristic
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597#10621883—22no—
598#10621883—22no—
599#10621882—22no—
600#10621882—22no—
601#10621882—22no—
602#10621882—22no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
632(C2×D43)⋊C4C2×D411yescharacteristic
633(C2×D43)⋊C4C2×D411yescharacteristic
634(C2×D43)⋊C4C2×D411yescharacteristic
635(C2×D43)⋊C4C2×D411yescharacteristic
636(C2×D43)⋊C4C2×D411yescharacteristic
637(C2×D43)⋊C4C2×D411yescharacteristic
638(C2×D43)⋊C4C2×D411yescharacteristic
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43C2×D411yescharacteristic
648C4⋊Dic43C2×D411yescharacteristic
649C4⋊Dic43C2×D411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2411yescharacteristic
673C2×C43⋊C8C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677D344—22no—
678D344—41no—
679D344—41no—
680#10621873—22no—
681#10621873—22no—
682#10621873—41no—
683#10621873—41no—
684#10621873—41no—
685#10621873—41no—
686#10621872—22no—
687#10621872—22no—
688#10621872—41no—
689#10621872—41no—
690C8×D43—22no—
691C8×D43—41no—
692C23×C43—21no—
693C23×C43—21no—
694C22×D43—21no—
695C22×D43—21no—
696C22×D43—21no—
697C22×D43—21no—
698C22×D43—42no—
699C22×D43—42no—
700C22×D43—42no—
701C22×D43—42no—
702C22×D43—42no—
703C22×D43—81no—
704C22×D43—81no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43—81no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43C22×D411yescharacteristic
711C22×D43C22×D411yescharacteristic
712C22×D43C22×D411yescharacteristic
713Q8×C43—41no—
714Q8×C43—81no—
715Q8×C43—81no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43C2×#4112yes—
719D4×C43C2×#4112yes—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—42no—
727C2×C4×C43—81no—
728C2×C4×C43—81no—
729C2×C4×C43—81no—
730C2×C4×C43—81no—
731C2×C4×C43—81no—
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C22×D411yescharacteristic
735C2×C4×C43C22×D411yescharacteristic
736C2×C4×C43C22×D411yescharacteristic
737C2×C4×C43C22×D411yescharacteristic
738C2×C4×C43C2511yescharacteristic
739C22⋊D43—42no—
740C22⋊D43—42no—
741C22⋊D43—42no—
742C22⋊D43—42no—
743C22⋊D43—42no—
744C22⋊D43—42no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—42no—
750C2×Dic43—42no—
751C2×Dic43—81no—
752C2×Dic43—81no—
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755C2×Dic43C22×D411yescharacteristic
756C2×Dic43C22×D411yescharacteristic
757C2×Dic43C22×D411yescharacteristic
758D172—21no—
759D172—21no—
760D172—21no—
761D172—21no—
762D172—21no—
763D172—21no—
764D172—21no—
765D172—21no—
766D172—41no—
767D172—41no—
768D172—41no—
769D172—42no—
770D172—42no—
771D172—42no—
772D172—81no—
773D172—81no—
774D172—81no—
775D172—81no—
776D172—81no—
777D172—81no—
778D172—81no—
779D172—81no—
780D172—81no—
781D172—81no—
782D172—81no—
783C4×D43—21no—
784C4×D43—21no—
785C4×D43—21no—
786C4×D43—21no—
787C4×D43—21no—
788C4×D43—21no—
789C4×D43—41no—
790C4×D43—41no—
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—21no—
802Dic86—21no—
803Dic86—21no—
804Dic86—21no—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43C2×#4112yes—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8—21no—
813#61506—431nomaximal, Sylow
814C22×C43—22no—
815C22×C43—22no—
816C22×C43—41no—
817C22×C43—41no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43C23×D411yescharacteristic
821C2×D43—21no—
822C2×D43—21no—
823C2×D43—21no—
824C2×D43—21no—
825C2×D43—21no—
826C2×D43—21no—
827C2×D43—21no—
828C2×D43—21no—
829C2×D43—21no—
830C2×D43—41no—
831C2×D43—41no—
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—84no—
843C2×D43—162no—
844C2×D43—162no—
845C2×D43—162no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—21no—
851C4×C43—21no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855C4×C43—41no—
856C4×C43—41no—
857C4×C43—41no—
858C4×C43C22×#4111yescharacteristic
859C4×C43#58511yescharacteristic
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
863Dic43—21no—
864Dic43—21no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868Dic43—41no—
869#3521—431no—
870#3519—431no—
871#3397—431no—
872#3389D4311yescharacteristic, complemented
873#3376—431no—
874#3366—431no—
875#3355—431no—
876#3350—431no—
877#3348—431no—
878#3324—431no—
879#3322—431no—
880#3319—431no—
881#3318—431no—
882#3310—431no—
883#3307—431no—
884#3272—431no—
885#3264—431no—
886#3264—431no—
887#3179—431no—
888#3174—431no—
889#3171—431no—
890#3123—431no—
891#3122—431no—
892#3119—431no—
893#3118—431no—
894#3115—431no—
895#3114—431no—
896#2967—431no—
897#2948—431no—
898#2946—431no—
899C4×AGL(1,ℤ/8)—431no—
900C2×C43—42no—
901C2×C43—42no—
902C2×C43D4×#4111yescharacteristic
903C2×C43#358511yescharacteristic
904C2×C43#358511yescharacteristic
905D43—41no—
906D43—41no—
907D43—41no—
908D43—81no—
909D43—81no—
910D43—81no—
911D43—81no—
912C2×AGL(1,ℤ/8)—431no—
913C2×AGL(1,ℤ/8)—431no—
914C22×D8—431no—
915#556—431no—
916#556—431no—
917#555—431no—
918#554C2×D4311yescharacteristic, complemented
919#554C2×D4311yescharacteristic, complemented
920#553—431no—
921#553—431no—
922#553—431no—
923#553—861no—
924#553—861no—
925#552—431no—
926#552—861no—
927#551—861no—
928#551—861no—
929#550—431no—
930#547—431no—
931#546—431no—
932#546—431no—
933#546—861no—
934#546—861no—
935#546—861no—
936D42—431no—
937D42—431no—
938D42—431no—
939#542—431no—
940#541—431no—
941#540—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×#126—861no—
952#525—861no—
953C2×#121—861no—
954#520—431no—
955#518—431no—
956#518—431no—
957#518—431no—
958C4×#41—431no—
959C2×C4×D4—431no—
960#501C2×D4311yescharacteristic, complemented
961#501C2×D4311yescharacteristic, complemented
962#499C2×D4311yescharacteristic, complemented
963#496—431no—
964#496—431no—
965#492—431no—
966#491—431no—
967#490—431no—
968#490—431no—
969#489—431no—
970#488—431no—
971#486—431no—
972#485—431no—
973#485—431no—
974#485—431no—
975#483—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482—431no—
980#482—431no—
981#481—431no—
982#480—431no—
983#480—431no—
984#479—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#478C2×D4311yescharacteristic, complemented
989#478C2×D4311yescharacteristic, complemented
990#478C2×D4311yescharacteristic, complemented
991#478C2×D4311yescharacteristic, complemented
992#476—431no—
993#475—431no—
994#474C2×D4311yescharacteristic, complemented
995#474C2×D4311yescharacteristic, complemented
996#469—431no—
997#469—431no—
998#469—431no—
999#468—431no—
1000#468—431no—
1001#468—431no—
1002#468—431no—
1003#468—431no—
1004#466—431no—
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#463—431no—
1009#463—431no—
1010#463—431no—
1011#463—431no—
1012#461—431no—
1013#461—431no—
1014#460—431no—
1015#460—431no—
1016#459—431no—
1017#459—431no—
1018#459—431no—
1019#459—431no—
1020#450—431no—
1021#450—431no—
1022#450—431no—
1023#450—431no—
1024#449—431no—
1025#449—431no—
1026#449—431no—
1027#449—431no—
1028#447—431no—
1029#447—431no—
1030#447—431no—
1031#447—431no—
1032#446—431no—
1033#446C2×D4311yescharacteristic, complemented
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442—431no—
1041#442C2×D4311yescharacteristic
1042#442C2×D4311yescharacteristic
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440—431no—
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×D8C2×D4311yescharacteristic
1062#436—431no—
1063#436—431no—
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#435—431no—
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#418—431no—
1077#417—431no—
1078#416—431no—
1079C2×#102—431no—
1080#405—431no—
1081#405—431no—
1082C4×M16—431no—
1083C43#6150611yescharacteristic, complemented, Sylow
1084C2×#41—431no—
1085C2×#41—431no—
1086C2×#41—861no—
1087C2×#41—861no—
1088C22×D4—431no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—861no—
1093C22×D4—861no—
1094C22×D4—861no—
1095C23×C4—861no—
1096AGL(1,ℤ/8)—864no—
1097AGL(1,ℤ/8)—864no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×SD16—431no—
1105C2×SD16—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—431no—
1113C2×D8—864no—
1114C2×D8C22×D4311yescharacteristic
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16—431no—
1118C2×M16—431no—
1119C22×C8—431no—
1120C22×C8—431no—
1121C4⋊Q8—431no—
1122C4⋊Q8C22×D4311yescharacteristic
1123C4⋊Q8C22×D4311yescharacteristic
1124#127—431no—
1125#127—431no—
1126#127—431no—
1127#126—431no—
1128#126—431no—
1129#126—861no—
1130#126—861no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#126—861no—
1138#126—861no—
1139#126—861no—
1140#126—861no—
1141#125—431no—
1142#125—861no—
1143#125—861no—
1144#125—861no—
1145#125C22×D4311yescharacteristic
1146#125C22×D4311yescharacteristic
1147#125C22×D4311yescharacteristic
1148#125C22×D4311yescharacteristic
1149#124—431no—
1150#124—431no—
1151#124—431no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124—861no—
1156#124—861no—
1157#123—431no—
1158#123—431no—
1159#123—861no—
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—
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—21no—
1176C22⋊Q8—21no—
1177C22⋊Q8—21no—
1178C22⋊Q8—21no—
1179C22⋊Q8—431no—
1180C22⋊Q8—431no—
1181C22⋊Q8—431no—
1182C22⋊Q8—431no—
1183C22⋊Q8—431no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186#121—431no—
1187#121—431no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—431no—
1192#121—431no—
1193#121—431no—
1194#121—431no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
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#121—861no—
1213#120—861no—
1214#120—861no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220#120—861no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—861no—
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—861no—
1241C4×D4—861no—
1242C4×D4—861no—
1243C4×D4—861no—
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×D4C22×D4311yescharacteristic
1258C4×D4C22×D4311yescharacteristic
1259C4×D4C22×D4311yescharacteristic
1260C4×D4C22×D4311yescharacteristic
1261C4×D4C22×D4311yescharacteristic
1262C4×D4C22×D4311yescharacteristic
1263#117—431no—
1264#117—431no—
1265#117—431no—
1266#117—431no—
1267#117—431no—
1268#117—431no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117—861no—
1275C2×C4⋊C4—21no—
1276C2×C4⋊C4—21no—
1277C2×C4⋊C4—431no—
1278C2×C4⋊C4—431no—
1279C2×C4⋊C4—861no—
1280C2×C4⋊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#107C22×D4311yescharacteristic
1296#107C22×D4311yescharacteristic
1297#107C22×D4311yescharacteristic
1298#107C22×D4311yescharacteristic
1299#107C22×D4311yescharacteristic
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106C22×D4311yescharacteristic
1305#106C22×D4311yescharacteristic
1306#106C22×D4311yescharacteristic
1307#106C22×D4311yescharacteristic
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8C22×D4311yescharacteristic
1312C4⋊C8C22×D4311yescharacteristic
1313C4⋊C8C22×D4311yescharacteristic
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
1320#103—431no—
1321#103—431no—
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⋊C8—431no—
1351C22⋊C8—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97—431no—
1356#97C22×D4311yescharacteristic
1357#97C22×D4311yescharacteristic
1358C4×C8—431no—
1359C4×C8—431no—
1360C4×C8—431no—
1361C4×C8C22×D4311yescharacteristic
1362C24—861no—
1363C24—861no—
1364C24—861no—
1365C24—861no—
1366#41—862no—
1367#41—862no—
1368#41—3442no—
1369#41—3442no—
1370#41—1721no—
1371#41—1721no—
1372C2×Q8—21no—
1373C2×Q8—21no—
1374C2×Q8—431no—
1375C2×Q8—431no—
1376C2×Q8D4×D4311yescharacteristic
1377C2×D4—431no—
1378C2×D4—431no—
1379C2×D4—431no—
1380C2×D4—431no—
1381C2×D4—431no—
1382C2×D4—431no—
1383C2×D4—431no—
1384C2×D4—861no—
1385C2×D4—861no—
1386C2×D4—861no—
1387C2×D4—861no—
1388C2×D4—861no—
1389C2×D4—861no—
1390C2×D4—861no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—862no—
1397C2×D4—862no—
1398C2×D4—862no—
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—3442no—
1409C2×D4—3442no—
1410C2×D4—3442no—
1411C2×D4—1721no—
1412C2×D4—1721no—
1413C2×D4—1721no—
1414C2×D4—1721no—
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—431no—
1424C22×C4—431no—
1425C22×C4—431no—
1426C22×C4—431no—
1427C22×C4—431no—
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—861no—
1441C22×C4—861no—
1442C22×C4—3442no—
1443SD16—862no—
1444SD16—862no—
1445SD16—862no—
1446SD16—862no—
1447SD16—1721no—
1448SD16—1721no—
1449SD16—1721no—
1450SD16—1721no—
1451D8—862no—
1452D8—862no—
1453D8—862no—
1454D8—862no—
1455D8—862no—
1456D8—1721no—
1457D8—1721no—
1458D8#1062190214yescomplemented
1459M16—862no—
1460M16—862no—
1461M16—1721no—
1462M16—1721no—
1463C2×C8—431no—
1464C2×C8—431no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—862no—
1468C2×C8—1721no—
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—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
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—431no—
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⋊C4D4×D4311yescharacteristic
1506C4⋊C4D4×D4311yescharacteristic
1507C4⋊C4C23×D4311yescharacteristic
1508C4⋊C4C23×D4311yescharacteristic
1509C4⋊C4C23×D4311yescharacteristic
1510C4⋊C4C23×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C4⋊C4C23×D4311yescharacteristic
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—431no—
1520C22⋊C4—431no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—431no—
1528C22⋊C4—431no—
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⋊C4—861no—
1558C22⋊C4—861no—
1559C42—431no—
1560C42—431no—
1561C42—431no—
1562C42—861no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42C23×D4311yescharacteristic
1571C42C23×D4311yescharacteristic
1572C42C23×D4311yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—431no—
1576C23—431no—
1577C23—431no—
1578C23—861no—
1579C23—861no—
1580C23—861no—
1581C23—861no—
1582C23—3441no—
1583C23—3441no—
1584C23—3441no—
1585C23—3441no—
1586C23—3441no—
1587C23—3441no—
1588C23—3441no—
1589C23—1722no—
1590C23—1722no—
1591C23—1722no—
1592C23—1722no—
1593C23—1722no—
1594Q8—41no—
1595Q8—81no—
1596Q8—81no—
1597Q8—861no—
1598Q8—861no—
1599Q8—861no—
1600Q8—861no—
1601D4—21no—
1602D4—21no—
1603D4—861no—
1604D4—861no—
1605D4—861no—
1606D4—861no—
1607D4—861no—
1608D4—861no—
1609D4—861no—
1610D4—861no—
1611D4—3441no—
1612D4—3441no—
1613D4—3441no—
1614D4—3441no—
1615D4—3441no—
1616D4—3441no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—1721no—
1623D4—1721no—
1624D4—1721no—
1625D4—1722no—
1626D4—1722no—
1627D4—1722no—
1628D4—1722no—
1629D4—1722no—
1630D4—1722no—
1631D4—1722no—
1632D4—1722no—
1633D4—1722no—
1634D4C2×#1062190212yes—
1635D4C2×#1062190212yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—42no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—431no—
1649C2×C4—431no—
1650C2×C4—431no—
1651C2×C4—431no—
1652C2×C4—431no—
1653C2×C4—861no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—861no—
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—1721no—
1675C2×C4—1721no—
1676C2×C4—1722no—
1677C2×C4—1722no—
1678C2×C4—1722no—
1679C2×C4C2×D4×D4311yescharacteristic
1680C2×C4C2×D4×D4311yescharacteristic
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—861no—
1690C8—861no—
1691C8—861no—
1692C8—861no—
1693C8C2×#1062190212yes—
1694C22—22no—
1695C22—22no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—861no—
1701C22—861no—
1702C22—861no—
1703C22—861no—
1704C22—861no—
1705C22—861no—
1706C22—861no—
1707C22—861no—
1708C22—861no—
1709C22—3444no—
1710C22—1721no—
1711C22—1721no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—6882no—
1723C22—6882no—
1724C22—6882no—
1725C22C22×D4×D4311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—861no—
1739C4—861no—
1740C4—861no—
1741C4—861no—
1742C4—861no—
1743C4—1721no—
1744C4—1721no—
1745C4—1721no—
1746C4—1721no—
1747C4C22×#1062190211yescharacteristic
1748C4#1458373611yescharacteristic
1749C2—42no—
1750C2—42no—
1751C2—3441no—
1752C2—3441no—
1753C2—3441no—
1754C2—3441no—
1755C2—1721no—
1756C2—1721no—
1757C2—1721no—
1758C2D4×#1062190211yescharacteristic
1759C2#1914937011yescharacteristic
1760C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3389C2
socleC22×C43C23×D4
hypercenter#3389D43
hypocenterC43#61506
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3389

Complements

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

NH ≅ G/Ntype
1. #19148666C2semidirect
2. #19148628C2semidirect
3. #19147617C2semidirect
4. #19147422C2semidirect
5. #19147302C2semidirect
6. #19147199C2semidirect
7. #19147139C2semidirect
8. #19147109C2semidirect
9. #19146823C2semidirect
10. #19146793C2semidirect
11. #19146748C2semidirect
12. #19146733C2semidirect
13. #19146613C2semidirect
14. #19146568C2semidirect
15. #19146196C2semidirect
16. #19146077C2semidirect
17. #19146077C2semidirect
18. #19145283C2semidirect
19. #19145225C2semidirect
20. #19145192C2semidirect
21. #19144849C2semidirect
22. #19144840C2semidirect
23. #19144799C2semidirect
24. #19144786C2semidirect
25. #19144748C2semidirect
26. #19144738C2semidirect
27. #19143579C2semidirect
28. #19143442C2semidirect
29. #19143424C2semidirect
30. #19143406C2semidirect
31. C43×#3389C2semidirect
35. #14583623C22semidirect
36. #14583622C22semidirect
39. #14583602C22semidirect
40. #14583602C22semidirect
44. #14583587C22semidirect
47. #14583571C22semidirect
48. #14583553C22semidirect
49. #14583544C22semidirect
50. #14583544C22semidirect
56. D4×D172C22semidirect
57. #14583523C22semidirect
58. #14583512C22semidirect
60. #14583505C22semidirect
65. #14583450C22semidirect
68. #14583434C22semidirect
72. #14583378C22semidirect
74. #14583371C22semidirect
75. #14583371C22semidirect
76. C4×#10621900C22semidirect
77. C4×D4×D43C22semidirect
78. #14583288C22semidirect
79. #14583288C22semidirect
80. #14583272C22semidirect
81. #14583269C22semidirect
82. #14583265C22semidirect
83. #14583265C22semidirect
84. #14583261C22semidirect
85. #14583256C22semidirect
86. #14583247C22semidirect
87. #14583243C22semidirect
88. #14583242C22semidirect
89. #14583242C22semidirect
90. #14583231C22semidirect
91. #14583226C22semidirect
92. #14583226C22semidirect
93. #14583226C22semidirect
94. #14583226C22semidirect
95. #14583225C22semidirect
96. #14583219C22semidirect
97. #14583214C22semidirect
98. #14583214C22semidirect
99. #14583203C22semidirect
100. #14583196C22semidirect
101. #14583196C22semidirect
102. #14583196C22semidirect
103. #14583186C22semidirect
104. #14583181C22semidirect
105. #14583153C22semidirect
106. #14583153C22semidirect
107. #14583153C22semidirect
108. #14583146C22semidirect
109. #14583146C22semidirect
110. #14583146C22semidirect
111. #14583146C22semidirect
112. #14583146C22semidirect
113. #14583136C22semidirect
114. #14583129C22semidirect
115. #14583129C22semidirect
116. #14583129C22semidirect
117. #14583115C22semidirect
118. #14583115C22semidirect
121. #14583105C22semidirect
122. #14583104C22semidirect
123. #14583100C22semidirect
124. #14583100C22semidirect
125. #14583095C22semidirect
126. #14583094C22semidirect
127. #14583094C22semidirect
128. #14583094C22semidirect
131. #14583051C22semidirect
132. #14583051C22semidirect
133. #14583045C22semidirect
134. #14583045C22semidirect
135. #14583045C22semidirect
136. #14583045C22semidirect
139. #14583034C22semidirect
140. #14583034C22semidirect
141. #14583030C22semidirect
142. #14583010C22semidirect
144. #14583009C22semidirect
145. #14583009C22semidirect
147. #14583008C22semidirect
148. #14583008C22semidirect
149. #14583001C22semidirect
150. #14583001C22semidirect
151. #14582999C22semidirect
152. #14582998C22semidirect
153. #14582998C22semidirect
154. #14582998C22semidirect
155. #14582996C22semidirect
156. #14582990C22semidirect
157. #14582986C22semidirect
158. #14582986C22semidirect
159. #14582986C22semidirect
160. C4×#10621883C22semidirect
161. C4×D344C22semidirect
163. #14582981C22semidirect
164. #14582981C22semidirect
165. C4×#10621882C22semidirect
166. #14582979C22semidirect
167. #14582978C22semidirect
168. #14582976C22semidirect
169. #14582972C22semidirect
170. #14582972C22semidirect
171. #14582969C22semidirect
172. #14582969C22semidirect
173. #14582959C22semidirect
174. #14582959C22semidirect
175. #14582955C22semidirect
176. #14582938C22semidirect
177. #14582938C22semidirect
178. #14582936C22semidirect
180. #14582902C22semidirect
181. #14582902C22semidirect
182. #14582897C22semidirect
183. #14582892C22semidirect
184. #102×D43C22semidirect
185. #14582856C22semidirect
186. #14582853C22semidirect
187. #14582851C22semidirect
188. C43×#554C22semidirect
189. C43×#554C22semidirect
190. C43×#501C22semidirect
191. C43×#501C22semidirect
192. C43×#499C22semidirect
193. C43×#478C22semidirect
194. C43×#478C22semidirect
195. C43×#478C22semidirect
196. C43×#478C22semidirect
197. C43×#474C22semidirect
198. C43×#474C22semidirect
199. C43×#446C22semidirect
562. D8×C43#41semidirect
872. #3389D43semidirect
918. #554C2×D43semidirect
919. #554C2×D43semidirect
960. #501C2×D43semidirect
961. #501C2×D43semidirect
962. #499C2×D43semidirect
988. #478C2×D43semidirect
989. #478C2×D43semidirect
990. #478C2×D43semidirect
991. #478C2×D43semidirect
994. #474C2×D43semidirect
995. #474C2×D43semidirect
1033. #446C2×D43semidirect
1083. C43#61506semidirect
1458. D8#10621902semidirect

Maximal subgroups

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

subgroupindex
#191486662
#191486282
#191476172
#191474222
#191473022
#191471992
#191471392
#191471092
#191468232
#191467932
#191467482
#191467332
#191466132
#191465682
#191461962
#191460772
#191452832
#191452252
#191451922
#191448492
#191448402
#191447992
#191447862
#191447482
#191447382
#191435792
#191434422
#191434242
#191434062
C43×#33892
#6150643