Finite Group Databasebeta

← #25979600

Subgroups — #25979600

Order 11008.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148705C211yesmaximal, characteristic, complemented
2#19148664C211yesmaximal, characteristic, complemented
3#19147660C211yesmaximal, characteristic, complemented
4#19147541C211yesmaximal, characteristic, complemented
5#19147284C211yesmaximal, characteristic, complemented
6#19147250C211yesmaximal, characteristic, complemented
7#19147161C211yesmaximal, characteristic, complemented
8#19147131C211yesmaximal, characteristic, complemented
9#19147097C211yesmaximal, characteristic, complemented
10#19146527C211yesmaximal, characteristic, complemented
11#19146523C211yesmaximal, characteristic, complemented
12#19146497C211yesmaximal, characteristic, complemented
13#19146486C211yesmaximal, characteristic, complemented
14#19146438C211yesmaximal, characteristic, complemented
15#19146423C211yesmaximal, characteristic, complemented
16#19146220C211yesmaximal, characteristic, complemented
17#19146135C211yesmaximal, characteristic, complemented
18#19145271C211yesmaximal, characteristic, complemented
19#19145260C211yesmaximal, characteristic, complemented
20#19145166C211yesmaximal, characteristic, complemented
21#19144825C211yesmaximal, characteristic, complemented
22#19144808C211yesmaximal, characteristic, complemented
23#19144787C211yesmaximal, characteristic, complemented
24#19144776C211yesmaximal, characteristic, complemented
25#19144705C211yesmaximal, characteristic, complemented
26#19144705C211yesmaximal, characteristic, complemented
27#19143565C211yesmaximal, characteristic, complemented
28#19143439C211yesmaximal, characteristic, complemented
29#19143426C211yesmaximal, characteristic, complemented
30#135×Dic43C211yesmaximal, characteristic, complemented
31C43×#3269C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33#14583631—21no—
34#14583631C2211yescharacteristic, complemented
35#14583628C2211yescharacteristic, complemented
36#14583623C2211yescharacteristic
37#14583620C2211yescharacteristic
38#14583614—21no—
39#14583614C2211yescharacteristic, complemented
40#14583608C2211yescharacteristic
41#14583596—21no—
42#14583596C2211yescharacteristic
43#14583595C2211yescharacteristic
44#14583592—21no—
45#14583591C2211yescharacteristic
46#14583584—21no—
47#14583583—21no—
48#14583583C2211yescharacteristic
49#14583572—21no—
50#14583572—21no—
51#14583568C2211yescharacteristic
52#14583560C2211yescharacteristic
53#14583537C2211yescharacteristic
54#14583537C2211yescharacteristic
55#14583522C2211yescharacteristic
56#14583518—21no—
57#14583518C2211yescharacteristic
58#14583510C2211yescharacteristic
59#14583502—21no—
60#14583502C2211yescharacteristic, complemented
61#14583493—21no—
62#14583486—21no—
63#14583435—21no—
64#14583435C2211yescharacteristic
65#14583435C2211yescharacteristic, complemented
66#14583429—21no—
67#14583429C2211yescharacteristic
68#14583426—21no—
69C2×#13063320—21no—
70#14583382C2211yescharacteristic
71#14583381C2211yescharacteristic
72#14583377C2211yescharacteristic, complemented
73#14583371C2211yescharacteristic
74#41×Dic43C2211yescharacteristic
75#41×Dic43C2211yescharacteristic, complemented
76#14583308C2211yescharacteristic, complemented
77#14583307C2211yescharacteristic, complemented
78#14583300C2211yescharacteristic, complemented
79#14583285C2211yescharacteristic
80#14583284C2211yescharacteristic
81#14583255C2211yescharacteristic
82#14583255C2211yescharacteristic
83#14583255C2211yescharacteristic, complemented
84#14583253C2211yescharacteristic, complemented
85#14583249C2211yescharacteristic, complemented
86#14583244C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic
88#14583237C2211yescharacteristic, complemented
89#14583237C2211yescharacteristic, complemented
90#14583237C2211yescharacteristic, complemented
91#14583233C2211yescharacteristic
92#14583228C2211yescharacteristic
93#14583224C2211yescharacteristic
94#14583224C2211yescharacteristic
95#14583224C2211yescharacteristic, complemented
96#14583221C2211yescharacteristic
97#14583215C2211yescharacteristic, complemented
98#14583213C2211yescharacteristic, complemented
99#14583208C2211yescharacteristic, complemented
100#14583208C2211yescharacteristic, complemented
101#14583208C2211yescharacteristic, complemented
102#14583206C2211yescharacteristic, complemented
103#14583201C2211yescharacteristic
104#14583201C2211yescharacteristic, complemented
105#14583200C2211yescharacteristic, complemented
106#14583197C2211yescharacteristic
107#14583192C2211yescharacteristic, complemented
108#14583189C2211yescharacteristic
109#14583182C2211yescharacteristic, complemented
110#14583180C2211yescharacteristic
111#14583154C2211yescharacteristic
112#14583152C2211yescharacteristic
113#14583142C2211yescharacteristic
114#14583137C2211yescharacteristic
115#14583135C2211yescharacteristic
116#14583133C2211yescharacteristic
117#14583130C2211yescharacteristic
118#14583130C2211yescharacteristic, complemented
119#14583130C2211yescharacteristic, complemented
120#14583125C2211yescharacteristic
121#14583123C2211yescharacteristic
122#14583123C2211yescharacteristic
123#14583123C2211yescharacteristic
124#14583123C2211yescharacteristic, complemented
125#14583116C2211yescharacteristic
126#14583116C2211yescharacteristic
127#14583111C2211yescharacteristic
128#14583101C2211yescharacteristic, complemented
129#14583097C2211yescharacteristic, complemented
130#14583092C2211yescharacteristic
131#14583060C2211yescharacteristic
132#14583060C2211yescharacteristic
133#14583048C2211yescharacteristic
134#14583044C2211yescharacteristic
135#14583044C2211yescharacteristic
136#14583044C2211yescharacteristic
137#14583038C2211yescharacteristic
138#14583031C2211yescharacteristic
139#14583027C2211yescharacteristic, complemented
140#14583023C2211yescharacteristic, complemented
141#14583012C2211yescharacteristic
142#14583008C2211yescharacteristic
143#14583008C2211yescharacteristic
144#14583006C2211yescharacteristic, complemented
145#14583006C2211yescharacteristic, complemented
146#14583006C2211yescharacteristic, complemented
147#14583002C2211yescharacteristic
148#14583002C2211yescharacteristic, complemented
149#14583000C2211yescharacteristic
150#14583000C2211yescharacteristic
151#14583000C2211yescharacteristic, complemented
152Q16×Dic43C2211yescharacteristic, complemented
153Q16×Dic43C2211yescharacteristic, complemented
154Q16×Dic43C2211yescharacteristic, complemented
155Q16×Dic43C2211yescharacteristic, complemented
156SD16×Dic43C2211yescharacteristic
157SD16×Dic43C2211yescharacteristic
158SD16×Dic43C2211yescharacteristic
159SD16×Dic43C2211yescharacteristic, complemented
160SD16×Dic43C2211yescharacteristic, complemented
161C4×#10621884C2211yescharacteristic
162#14582984C2211yescharacteristic
163#14582984C2211yescharacteristic, complemented
164D8×Dic43C2211yescharacteristic
165D8×Dic43C2211yescharacteristic
166#14582981C2211yescharacteristic
167C4×#10621882C2211yescharacteristic
168#14582975C2211yescharacteristic
169#14582970C2211yescharacteristic
170D4×C43⋊C8C2211yescharacteristic, complemented
171(C22⋊D43)⋊C8C2211yescharacteristic
172(C22⋊D43)⋊C8C2211yescharacteristic
173#14582959C2211yescharacteristic
174#14582957C2211yescharacteristic, complemented
175#14582953C2211yescharacteristic, complemented
176#14582941C2211yescharacteristic, complemented
177#14582940C2211yescharacteristic
178#14582937C2211yescharacteristic, complemented
179#14582895C2211yescharacteristic
180#14582895C2211yescharacteristic
181#14582895C2211yescharacteristic, complemented
182#14582894C2211yescharacteristic
183C2×#13063249C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582857C2211yescharacteristic, complemented
186#14582856C2211yescharacteristic
187C2×C8×Dic43C2211yescharacteristic, complemented
188C2×#137×C43C2211yescharacteristic
189C2×#135×C43C2211yescharacteristic
190C43×#548C2211yescharacteristic, complemented
191C43×#547C2211yescharacteristic
192C43×#497C2211yescharacteristic, complemented
193C43×#468C2211yescharacteristic, complemented
194C43×#467C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic
196C43×#462C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic
198C43×#452C2211yescharacteristic, complemented
199C43×#451C2211yescharacteristic, complemented
200C43×#449C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C43×#435C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×D4×D43C2311yescharacteristic
205#13063352—24no—
206C2×#10621884C2311yescharacteristic
207C2×#10621884C2311yescharacteristic
208C2×#10621884C2311yescharacteristic
209C2×#10621884C2311yescharacteristic
210C2×D344C2311yescharacteristic
211C2×#10621882C2311yescharacteristic
212C2×#10621882C2311yescharacteristic
213C2×#10621872C2311yescharacteristic
214C22×C43⋊C8C2311yescharacteristic
215C22×C43⋊C8C2311yescharacteristic
216C2×C8×D43C2311yescharacteristic
217#13063325—21no—
218#13063325C2311yescharacteristic
219#13063324C2311yescharacteristic
220#13063321—21no—
221#13063321C2311yescharacteristic
222#13063320—21no—
223#13063320—21no—
224#13063320—21no—
225#13063320—21no—
226#13063320—21no—
227#13063320—21no—
228#13063320—21no—
229#13063320—21no—
230#13063320—21no—
231#13063320—21no—
232#13063320D411yescharacteristic
233#13063318—21no—
234#13063318—21no—
235#13063318—21no—
236#13063318—21no—
237#13063318D411yescharacteristic
238#13063317C2311yescharacteristic
239#13063316—21no—
240#13063316—21no—
241#13063316—21no—
242#13063316C2311yescharacteristic
243#13063316C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063315—21no—
246#13063315—21no—
247#13063315—21no—
248#13063315D411yescharacteristic
249#13063314—21no—
250#13063314C2311yescharacteristic
251#13063314C2311yescharacteristic
252#13063314C2311yescharacteristic
253#13063311—21no—
254#13063311—21no—
255#13063311—21no—
256#13063311—21no—
257#13063311—21no—
258#13063311—21no—
259#13063311D411yescharacteristic
260#13063309—21no—
261#13063309—21no—
262#13063309—21no—
263#13063309—21no—
264#13063309—21no—
265#13063309—21no—
266#13063309D411yescharacteristic
267#13063308—21no—
268#13063308—21no—
269#13063307—21no—
270#13063307—21no—
271#13063307—21no—
272#13063307—21no—
273#13063307—21no—
274#13063306—21no—
275#13063306D411yescharacteristic
276#13063305—21no—
277#13063305—21no—
278#13063304—21no—
279#13063302—21no—
280#13063302—21no—
281#13063302—21no—
282#13063302D411yescharacteristic
283#13063301—21no—
284#13063301C2311yescharacteristic
285#13063301C2311yescharacteristic
286#13063301C2311yescharacteristic
287#13063299—21no—
288#13063299—21no—
289#13063299C2311yescharacteristic
290#13063299C2311yescharacteristic
291#13063299C2311yescharacteristic
292#13063299C2311yescharacteristic
293#13063297—21no—
294#13063297—21no—
295#13063297—21no—
296#13063297—21no—
297#13063297D411yescharacteristic
298#13063296—21no—
299#13063296—21no—
300#13063296—21no—
301#13063296—21no—
302#13063296C2311yescharacteristic
303#13063293—21no—
304#13063293—21no—
305Q8×Dic43—21no—
306Q8×Dic43—21no—
307Q8×Dic43C2311yescharacteristic
308Q8×Dic43C2311yescharacteristic
309Q8×Dic43C2311yescharacteristic
310Q8×Dic43C2311yescharacteristic
311Q8×Dic43C2311yescharacteristic
312Q8×Dic43C2311yescharacteristic
313Q8×Dic43C2311yescharacteristic
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316C4×Dic86—21no—
317C4×Dic86C2311yescharacteristic
318#13063290—21no—
319C4×D172—21no—
320C4×D172C2311yescharacteristic
321C4×D172C2311yescharacteristic
322D4×Dic43—21no—
323D4×Dic43—21no—
324D4×Dic43—21no—
325D4×Dic43—21no—
326D4×Dic43—21no—
327D4×Dic43—21no—
328D4×Dic43C2311yescharacteristic
329D4×Dic43C2311yescharacteristic
330D4×Dic43C2311yescharacteristic
331D4×Dic43C2311yescharacteristic
332D4×Dic43C2311yescharacteristic
333#13063287—21no—
334#13063287C2311yescharacteristic
335#13063287C2311yescharacteristic
336C4×C22⋊D43—21no—
337C4×C22⋊D43—21no—
338C4×C22⋊D43—21no—
339C4×C22⋊D43C2311yescharacteristic
340C4×C22⋊D43C2311yescharacteristic
341(C22⋊D43)⋊C4—21no—
342(C22⋊D43)⋊C4—21no—
343(C22⋊D43)⋊C4—21no—
344(C22⋊D43)⋊C4—21no—
345(C22⋊D43)⋊C4—21no—
346(C22⋊D43)⋊C4—21no—
347#13063284—21no—
348#13063284—21no—
349#13063284—21no—
350#13063284—21no—
351#13063284—21no—
352#13063284C2311yescharacteristic
353#13063284C2311yescharacteristic
354#13063284C2311yescharacteristic
355#13063284C2311yescharacteristic
356#13063283—21no—
357#13063283—21no—
358#13063283—21no—
359#13063283—21no—
360#13063283—21no—
361#13063283C2311yescharacteristic
362#13063282—21no—
363#13063282C2311yescharacteristic
364#13063281—21no—
365C2×C4⋊Dic43—21no—
366C2×C4⋊Dic43C2311yescharacteristic
367C2×Dic43⋊C4—21no—
368C4⋊C4×D43—21no—
369C4⋊C4×D43C2311yescharacteristic
370C2×(C2×D43)⋊C4—21no—
371C2×(C2×D43)⋊C4—21no—
372C2×(C2×D43)⋊C4—21no—
373C22⋊C4×D43—21no—
374C2×C4×Dic43—21no—
375C2×C4×Dic43—21no—
376C2×C4×Dic43C2311yescharacteristic
377#13063259C2311yescharacteristic
378#13063259C2311yescharacteristic
379#13063259C2311yescharacteristic
380#13063259C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397#13063249C2311yescharacteristic
398#13063249C2311yescharacteristic
399#13063249C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427#13063235C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430C4×C43⋊C8C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C2×#41×C43C2311yescharacteristic
437C2×#41×C43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C22×Q8×C43C2311yescharacteristic
440#137×C43—24no—
441#135×C43—24no—
442C2×Q16×C43C2311yescharacteristic
443C2×Q16×C43C2311yescharacteristic
444C2×Q16×C43C2311yescharacteristic
445C2×Q16×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×SD16×C43C2311yescharacteristic
450C2×D8×C43C2311yescharacteristic
451C2×M16×C43C2311yescharacteristic
452C22×C8×C43C2311yescharacteristic
453C4⋊Q8×C43C2311yescharacteristic
454#124×C43—21no—
455#124×C43C2311yescharacteristic
456#123×C43—21no—
457#123×C43—21no—
458C22⋊Q8×C43—21no—
459C22⋊Q8×C43C2311yescharacteristic
460C22⋊Q8×C43C2311yescharacteristic
461C22⋊Q8×C43C2311yescharacteristic
462#121×C43—21no—
463#121×C43—21no—
464#121×C43C2311yescharacteristic
465C4×Q8×C43C2311yescharacteristic
466C4×D4×C43—21no—
467C4×D4×C43C2311yescharacteristic
468C4×D4×C43C2311yescharacteristic
469C2×C4⋊C4×C43—21no—
470#107×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43—21no—
482#41×C43—22no—
483#41×C43—22no—
484#41×C43—22no—
485#41×C43—41no—
486#41×C43—41no—
487#41×C43—41no—
488C2×Q8×C43—21no—
489C2×Q8×C43—22no—
490C2×Q8×C43—41no—
491C2×Q8×C43C2411yescharacteristic
492C2×Q8×C43C2411yescharacteristic
493C2×Q8×C43C2411yescharacteristic
494C2×Q8×C43C2411yescharacteristic
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43C2×D411yescharacteristic
500C2×D4×C43C2411yescharacteristic
501C2×D4×C43C2411yescharacteristic
502C22×C4×C43—21no—
503C22×C4×C43—21no—
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43C2411yescharacteristic
508C22×C4×C43C2411yescharacteristic
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43C2×D411yescharacteristic
518C2×C22⋊D43C2×D411yescharacteristic
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43C2×D411yescharacteristic
526C22×Dic43C2×D411yescharacteristic
527#10621902—22no—
528#10621902—41no—
529D4×D43—22no—
530D4×D43—41no—
531C2×D172—21no—
532C2×D172C2411yescharacteristic
533C2×D172C2411yescharacteristic
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43C2411yescharacteristic
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86C2×D411yescharacteristic
544Q16×C43—22no—
545Q16×C43—22no—
546Q16×C43—22no—
547Q16×C43—41no—
548SD16×C43—22no—
549SD16×C43—22no—
550SD16×C43—41no—
551SD16×C43#4114yes—
552D8×C43—22no—
553M16×C43—22no—
554C2×C8×C43—22no—
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43C2×D411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43C2×D411yescharacteristic
576C22⋊C4×C43C2×D411yescharacteristic
577C42×C43—21no—
578C42×C43C2411yescharacteristic
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43C2×D411yescharacteristic
589C22⋊Dic43C2×D411yescharacteristic
590C22⋊Dic43C2×D411yescharacteristic
591C22⋊Dic43C2×D411yescharacteristic
592#10621884—22no—
593#10621884—41no—
594#10621884—41no—
595#10621884—41no—
596#10621882—22no—
597#10621882—41no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊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)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43C2×D411yescharacteristic
635C4⋊Dic43C2×D411yescharacteristic
636C4⋊Dic43C2×D411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
642C4⋊Dic43C2411yescharacteristic
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
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×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43C2×D411yescharacteristic
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C2×C43⋊C8—41no—
678C2×C43⋊C8—41no—
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683D344—22no—
684#10621872—22no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43C22×D411yescharacteristic
689C23×C43C22×D411yescharacteristic
690C22×D43—21no—
691C22×D43—21no—
692C22×D43—42no—
693C22×D43—81no—
694C22×D43—81no—
695C22×D43C22×D411yescharacteristic
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—21no—
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—21no—
703Q8×C43—42no—
704Q8×C43C2×#4112yes—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—41no—
709D4×C43—42no—
710D4×C43—42no—
711D4×C43—42no—
712D4×C43—81no—
713D4×C43C2×#4112yes—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—42no—
725C2×C4×C43—42no—
726C2×C4×C43—42no—
727C2×C4×C43—42no—
728C2×C4×C43—81no—
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C2511yescharacteristic
734C22⋊D43—41no—
735C22⋊D43—41no—
736C22⋊D43—42no—
737C22⋊D43—81no—
738C22⋊D43—81no—
739C22⋊D43—81no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—41no—
751C2×Dic43—41no—
752C2×Dic43—81no—
753C2×Dic43—81no—
754C2×Dic43—81no—
755C2×Dic43—81no—
756C2×Dic43—81no—
757C2×Dic43—81no—
758C2×Dic43C22×D411yescharacteristic
759C2×Dic43C22×D411yescharacteristic
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765D172—21no—
766D172—21no—
767D172—21no—
768D172—21no—
769D172—42no—
770C4×D43—21no—
771C4×D43—21no—
772C4×D43—42no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778Dic86—41no—
779Dic86—81no—
780Dic86—81no—
781C8×C43—21no—
782C8×C43—21no—
783C8×C43—21no—
784C8×C43C2×#4112yes—
785C43⋊C8—21no—
786C43⋊C8—21no—
787C43⋊C8—21no—
788C43⋊C8—21no—
789#61500—431nomaximal, Sylow
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—21no—
794C22×C43—22no—
795C22×C43—21no—
796C22×C43—21no—
797C22×C43—41no—
798C22×C43—41no—
799C22×C43—41no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43C23×D411yescharacteristic
803C2×D43—21no—
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—41no—
807C2×D43—41no—
808C2×D43—41no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—162no—
813C4×C43—21no—
814C4×C43—21no—
815C4×C43—22no—
816C4×C43—21no—
817C4×C43—21no—
818C4×C43—41no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43C22×#4111yescharacteristic
824C4×C43#58511yescharacteristic
825Dic43—21no—
826Dic43—21no—
827Dic43—21no—
828Dic43—21no—
829Dic43—21no—
830Dic43—21no—
831Dic43—21no—
832Dic43—41no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43—41no—
838#3524—431no—
839#3521—431no—
840#3401—431no—
841#3388—431no—
842#3364—431no—
843#3361—431no—
844#3351—431no—
845#3349—431no—
846#3347—431no—
847#3304—431no—
848#3303—431no—
849#3301—431no—
850#3300—431no—
851#3297—431no—
852#3296—431no—
853#3275—431no—
854#3269D4311yescharacteristic, complemented
855#3268—431no—
856#3179—431no—
857#3178—431no—
858#3168—431no—
859#3121—431no—
860#3120—431no—
861#3119—431no—
862#3118—431no—
863#3111—431no—
864#3111—431no—
865#2966—431no—
866#2947—431no—
867#2946—431no—
868C4×#135—431no—
869C2×C43—42no—
870C2×C43—41no—
871C2×C43—41no—
872C2×C43—81no—
873C2×C43D4×#4111yescharacteristic
874C2×C43#358411yescharacteristic
875C2×C43#358411yescharacteristic
876D43—41no—
877D43—81no—
878D43—81no—
879C2×#137C2×D4311yescharacteristic
880C2×AGL(1,ℤ/8)—431no—
881C2×#135C2×D4311yescharacteristic
882#559—431no—
883#559—861no—
884#557—431no—
885#556—431no—
886#556—431no—
887#555—431no—
888#555—861no—
889#554—431no—
890#553—431no—
891#553—431no—
892#553—861no—
893#553—861no—
894#552—431no—
895#552—431no—
896#552—861no—
897#552—861no—
898#551—861no—
899#551—861no—
900#550—431no—
901#548—431no—
902#548C2×D4311yescharacteristic, complemented
903#547C2×D4311yescharacteristic
904#546—431no—
905#546—431no—
906#542—431no—
907#542—431no—
908#542—861no—
909#541—431no—
910#540—431no—
911#540—861no—
912#539—861no—
913#538—861no—
914#529—431no—
915#529—431no—
916#529—431no—
917#529—861no—
918#529—861no—
919#529—861no—
920C2×#126—861no—
921#520—431no—
922#520—431no—
923#519—431no—
924#518—431no—
925C4×#41—431no—
926C4×#41—431no—
927#501—431no—
928#501—431no—
929#499—431no—
930#497C2×D4311yescharacteristic, complemented
931#496—431no—
932#495—431no—
933#488—431no—
934#488—431no—
935#488—431no—
936#488—431no—
937#487—431no—
938#486—431no—
939#485—431no—
940#485—431no—
941#485—431no—
942#485—431no—
943#484—431no—
944#483—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#481—431no—
950#480—431no—
951#479—431no—
952#479—431no—
953#479—431no—
954#479—431no—
955#478—431no—
956#478—431no—
957#478—431no—
958#478—431no—
959#477—431no—
960#476—431no—
961#475—431no—
962#474—431no—
963#470—431no—
964#469—431no—
965#468—431no—
966#468C2×D4311yescharacteristic, complemented
967#467—431no—
968#467C2×D4311yescharacteristic, complemented
969#466—431no—
970#466—431no—
971#465—431no—
972#465—431no—
973#465—431no—
974#465—431no—
975#464—431no—
976#464—431no—
977#464—431no—
978#464—431no—
979#463—431no—
980#463—431no—
981#463—431no—
982#463C2×D4311yescharacteristic
983#462C2×D4311yescharacteristic, complemented
984#461—431no—
985#460—431no—
986#459—431no—
987#452—431no—
988#452—431no—
989#452C2×D4311yescharacteristic
990#452C2×D4311yescharacteristic, complemented
991#451C2×D4311yescharacteristic, complemented
992#450—431no—
993#449—431no—
994#449—431no—
995#449—431no—
996#449C2×D4311yescharacteristic
997#448—431no—
998#447—431no—
999#446—431no—
1000C8×Q8—431no—
1001#442—431no—
1002#442—431no—
1003#442—431no—
1004#441—431no—
1005#441—431no—
1006#441—431no—
1007#440—431no—
1008#440—431no—
1009#440—431no—
1010#440—431no—
1011#440—431no—
1012#440C2×D4311yescharacteristic
1013C4×Q16—431no—
1014C4×Q16—431no—
1015C4×Q16—431no—
1016C4×Q16—431no—
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16—431no—
1020C4×SD16—431no—
1021C4×SD16—431no—
1022C4×SD16—431no—
1023C4×SD16—431no—
1024C4×SD16—431no—
1025C4×D8—431no—
1026C4×D8—431no—
1027C4×D8—431no—
1028C4×D8—431no—
1029#436—431no—
1030#435—431no—
1031#435C2×D4311yescharacteristic, complemented
1032C8×D4—431no—
1033C8×D4—431no—
1034C8×D4—431no—
1035#433—431no—
1036#433—431no—
1037#432—431no—
1038#428—431no—
1039#428—431no—
1040#427—431no—
1041#416—431no—
1042#416—431no—
1043#416—431no—
1044#416—431no—
1045C2×#103—431no—
1046C2×#102—431no—
1047#405—431no—
1048#405—431no—
1049C2×C4×C8—431no—
1050C43#6150011yescharacteristic, complemented, Sylow
1051C2×#41—431no—
1052C2×#41C22×D4311yescharacteristic
1053C2×#41C22×D4311yescharacteristic
1054C2×#41C22×D4311yescharacteristic
1055C22×Q8C22×D4311yescharacteristic
1056C22×D4—431no—
1057#137—24no—
1058AGL(1,ℤ/8)—864no—
1059#135—24no—
1060C2×Q16C22×D4311yescharacteristic
1061C2×Q16C22×D4311yescharacteristic
1062C2×Q16C22×D4311yescharacteristic
1063C2×Q16C22×D4311yescharacteristic
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—431no—
1068C2×SD16C22×D4311yescharacteristic
1069C2×SD16C22×D4311yescharacteristic
1070C2×SD16C22×D4311yescharacteristic
1071C2×SD16C22×D4311yescharacteristic
1072C2×D8—431no—
1073C2×D8—431no—
1074C2×D8—431no—
1075C2×D8C22×D4311yescharacteristic
1076C2×M16—431no—
1077C2×M16C22×D4311yescharacteristic
1078C22×C8—431no—
1079C22×C8—431no—
1080C22×C8—431no—
1081C22×C8C22×D4311yescharacteristic
1082C4⋊Q8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—861no—
1085C4⋊Q8C22×D4311yescharacteristic
1086#127—431no—
1087#127—861no—
1088#126—431no—
1089#126—431no—
1090#126—861no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#125—431no—
1105#125—431no—
1106#125—431no—
1107#125—431no—
1108#125—431no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125—861no—
1114#125—861no—
1115#124—21no—
1116#124—431no—
1117#124—431no—
1118#124—431no—
1119#124—431no—
1120#124—861no—
1121#124—861no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124C22×D4311yescharacteristic
1128#123—21no—
1129#123—21no—
1130#123—431no—
1131#123—431no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146C22⋊Q8—21no—
1147C22⋊Q8—431no—
1148C22⋊Q8—431no—
1149C22⋊Q8—431no—
1150C22⋊Q8—431no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8C22×D4311yescharacteristic
1159C22⋊Q8C22×D4311yescharacteristic
1160C22⋊Q8C22×D4311yescharacteristic
1161#121—21no—
1162#121—21no—
1163#121—431no—
1164#121—431no—
1165#121—431no—
1166#121—431no—
1167#121—431no—
1168#121—431no—
1169#121—861no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121C22×D4311yescharacteristic
1180#120—861no—
1181#120—861no—
1182C4×Q8—431no—
1183C4×Q8—431no—
1184C4×Q8—431no—
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—431no—
1191C4×Q8—431no—
1192C4×Q8—861no—
1193C4×Q8—861no—
1194C4×Q8—861no—
1195C4×Q8—861no—
1196C4×Q8C22×D4311yescharacteristic
1197C4×D4—21no—
1198C4×D4—431no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4C22×D4311yescharacteristic
1227C4×D4C22×D4311yescharacteristic
1228#117—431no—
1229#117—431no—
1230#117—431no—
1231#117—431no—
1232#117—431no—
1233#117—431no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246C2×C4⋊C4—21no—
1247C2×C4⋊C4—431no—
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—861no—
1250C2×C4⋊C4—861no—
1251C2×C4⋊C4—861no—
1252C2×C22⋊C4—861no—
1253C2×C22⋊C4—861no—
1254C2×C22⋊C4—861no—
1255C2×C22⋊C4—861no—
1256C2×C42—431no—
1257C2×C42—861no—
1258C2×C42—861no—
1259#107—431no—
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107—431no—
1266#107C22×D4311yescharacteristic
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106—431no—
1274#106—431no—
1275C4⋊C8—431no—
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8—431no—
1279C4⋊C8—431no—
1280C4⋊C8C22×D4311yescharacteristic
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#102—431no—
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102C22×D4311yescharacteristic
1312#102C22×D4311yescharacteristic
1313C22⋊C8—431no—
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8—431no—
1317C22⋊C8C22×D4311yescharacteristic
1318C22⋊C8C22×D4311yescharacteristic
1319#97—431no—
1320#97—431no—
1321#97—431no—
1322#97C22×D4311yescharacteristic
1323C4×C8—431no—
1324C4×C8—431no—
1325C4×C8—431no—
1326C4×C8—431no—
1327C4×C8—431no—
1328C4×C8—431no—
1329C24—861no—
1330#41—22no—
1331#41—22no—
1332#41—22no—
1333#41—41no—
1334#41—41no—
1335#41—41no—
1336#41—862no—
1337#41—1721no—
1338C2×Q8—21no—
1339C2×Q8—22no—
1340C2×Q8—41no—
1341C2×Q8—431no—
1342C2×Q8—861no—
1343C2×Q8—861no—
1344C2×Q8C23×D4311yescharacteristic
1345C2×Q8C23×D4311yescharacteristic
1346C2×Q8C23×D4311yescharacteristic
1347C2×Q8C23×D4311yescharacteristic
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—431no—
1355C2×D4—431no—
1356C2×D4—861no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4—862no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—1721no—
1367C2×D4D4×D4311yescharacteristic
1368C2×D4C23×D4311yescharacteristic
1369C2×D4C23×D4311yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—431no—
1376C22×C4—431no—
1377C22×C4—431no—
1378C22×C4—861no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4—861no—
1384C22×C4—861no—
1385C22×C4—861no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4C23×D4311yescharacteristic
1391C22×C4C23×D4311yescharacteristic
1392Q16—22no—
1393Q16—22no—
1394Q16—22no—
1395Q16—41no—
1396SD16—22no—
1397SD16—22no—
1398SD16—41no—
1399SD16—862no—
1400SD16—1721no—
1401SD16—1721no—
1402SD16—1721no—
1403SD16#1062190014yes—
1404D8—22no—
1405D8—862no—
1406D8—862no—
1407D8—1721no—
1408M16—22no—
1409M16—862no—
1410C2×C8—22no—
1411C2×C8—431no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—431no—
1415C2×C8—1721no—
1416C2×C8—1721no—
1417C2×C8—1721no—
1418C2×C8C23×D4311yescharacteristic
1419C2×C8C23×D4311yescharacteristic
1420C2×C8C23×D4311yescharacteristic
1421C2×C8C23×D4311yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
1433C4⋊C4—431no—
1434C4⋊C4—431no—
1435C4⋊C4—431no—
1436C4⋊C4—431no—
1437C4⋊C4—431no—
1438C4⋊C4—431no—
1439C4⋊C4—431no—
1440C4⋊C4—431no—
1441C4⋊C4—431no—
1442C4⋊C4—431no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4D4×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—431no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4D4×D4311yescharacteristic
1513C22⋊C4D4×D4311yescharacteristic
1514C42—21no—
1515C42—431no—
1516C42—431no—
1517C42—431no—
1518C42—431no—
1519C42—431no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42C23×D4311yescharacteristic
1534C23—21no—
1535C23—21no—
1536C23—431no—
1537C23—861no—
1538C23—861no—
1539C23—3441no—
1540C23—3441no—
1541C23—1722no—
1542C23C2×D4×D4311yescharacteristic
1543C23C2×D4×D4311yescharacteristic
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—21no—
1551Q8—42no—
1552Q8—3441no—
1553Q8—3441no—
1554Q8—1721no—
1555Q8C2×#1062190012yes—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—41no—
1560D4—42no—
1561D4—42no—
1562D4—42no—
1563D4—81no—
1564D4—861no—
1565D4—861no—
1566D4—861no—
1567D4—861no—
1568D4—3441no—
1569D4—3441no—
1570D4—3441no—
1571D4—3441no—
1572D4—3441no—
1573D4—3441no—
1574D4—3441no—
1575D4—1722no—
1576D4—1721no—
1577D4—1721no—
1578D4—1722no—
1579D4C2×#1062190012yes—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—42no—
1591C2×C4—42no—
1592C2×C4—42no—
1593C2×C4—42no—
1594C2×C4—81no—
1595C2×C4—431no—
1596C2×C4—431no—
1597C2×C4—431no—
1598C2×C4—431no—
1599C2×C4—431no—
1600C2×C4—431no—
1601C2×C4—431no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—861no—
1609C2×C4—861no—
1610C2×C4—3441no—
1611C2×C4—3441no—
1612C2×C4—3441no—
1613C2×C4—3441no—
1614C2×C4—3441no—
1615C2×C4—3441no—
1616C2×C4—3441no—
1617C2×C4—3441no—
1618C2×C4—3441no—
1619C2×C4—3441no—
1620C2×C4—3441no—
1621C2×C4—1722no—
1622C2×C4—1721no—
1623C2×C4—1721no—
1624C2×C4C2×D4×D4311yescharacteristic
1625C2×C4C2×D4×D4311yescharacteristic
1626C2×C4C2×D4×D4311yescharacteristic
1627C2×C4C2×D4×D4311yescharacteristic
1628C2×C4C24×D4311yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—861no—
1633C8—861no—
1634C8—861no—
1635C8—861no—
1636C8C2×#1062190012yes—
1637C22—21no—
1638C22—21no—
1639C22—22no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—861no—
1650C22—861no—
1651C22—861no—
1652C22—1721no—
1653C22—1721no—
1654C22—1721no—
1655C22—1721no—
1656C22—1721no—
1657C22—1721no—
1658C22—6882no—
1659C22C22×D4×D4311yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—22no—
1663C4—21no—
1664C4—21no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—861no—
1671C4—861no—
1672C4—861no—
1673C4—861no—
1674C4—861no—
1675C4—861no—
1676C4—861no—
1677C4—1721no—
1678C4—1721no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4C22×#1062190011yescharacteristic
1684C4#1458373411yescharacteristic
1685C2—41no—
1686C2—41no—
1687C2—42no—
1688C2—81no—
1689C2—3441no—
1690C2—3441no—
1691C2—1721no—
1692C2D4×#1062190011yescharacteristic
1693C2#1914936511yescharacteristic
1694C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3269C2
socleC22×C43C23×D4
hypercenter#3269D43
hypocenterC43#61500
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3269

Complements

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

NH ≅ G/Ntype
1. #19148705C2semidirect
2. #19148664C2semidirect
3. #19147660C2semidirect
4. #19147541C2semidirect
5. #19147284C2semidirect
6. #19147250C2semidirect
7. #19147161C2semidirect
8. #19147131C2semidirect
9. #19147097C2semidirect
10. #19146527C2semidirect
11. #19146523C2semidirect
12. #19146497C2semidirect
13. #19146486C2semidirect
14. #19146438C2semidirect
15. #19146423C2semidirect
16. #19146220C2semidirect
17. #19146135C2semidirect
18. #19145271C2semidirect
19. #19145260C2semidirect
20. #19145166C2semidirect
21. #19144825C2semidirect
22. #19144808C2semidirect
23. #19144787C2semidirect
24. #19144776C2semidirect
25. #19144705C2semidirect
26. #19144705C2semidirect
27. #19143565C2semidirect
28. #19143439C2semidirect
29. #19143426C2semidirect
30. #135×Dic43C2semidirect
31. C43×#3269C2semidirect
34. #14583631C22semidirect
35. #14583628C22semidirect
39. #14583614C22semidirect
60. #14583502C22semidirect
65. #14583435C22semidirect
72. #14583377C22semidirect
75. #41×Dic43C22semidirect
76. #14583308C22semidirect
77. #14583307C22semidirect
78. #14583300C22semidirect
83. #14583255C22semidirect
84. #14583253C22semidirect
85. #14583249C22semidirect
86. #14583244C22semidirect
88. #14583237C22semidirect
89. #14583237C22semidirect
90. #14583237C22semidirect
95. #14583224C22semidirect
97. #14583215C22semidirect
98. #14583213C22semidirect
99. #14583208C22semidirect
100. #14583208C22semidirect
101. #14583208C22semidirect
102. #14583206C22semidirect
104. #14583201C22semidirect
105. #14583200C22semidirect
107. #14583192C22semidirect
109. #14583182C22semidirect
118. #14583130C22semidirect
119. #14583130C22semidirect
124. #14583123C22semidirect
128. #14583101C22semidirect
129. #14583097C22semidirect
139. #14583027C22semidirect
140. #14583023C22semidirect
144. #14583006C22semidirect
145. #14583006C22semidirect
146. #14583006C22semidirect
148. #14583002C22semidirect
151. #14583000C22semidirect
152. Q16×Dic43C22semidirect
153. Q16×Dic43C22semidirect
154. Q16×Dic43C22semidirect
155. Q16×Dic43C22semidirect
159. SD16×Dic43C22semidirect
160. SD16×Dic43C22semidirect
163. #14582984C22semidirect
170. D4×C43⋊C8C22semidirect
174. #14582957C22semidirect
175. #14582953C22semidirect
176. #14582941C22semidirect
178. #14582937C22semidirect
181. #14582895C22semidirect
183. C2×#13063249C22semidirect
185. #14582857C22semidirect
187. C2×C8×Dic43C22semidirect
190. C43×#548C22semidirect
192. C43×#497C22semidirect
193. C43×#468C22semidirect
194. C43×#467C22semidirect
196. C43×#462C22semidirect
198. C43×#452C22semidirect
199. C43×#451C22semidirect
202. C43×#435C22semidirect
854. #3269D43semidirect
902. #548C2×D43semidirect
930. #497C2×D43semidirect
966. #468C2×D43semidirect
968. #467C2×D43semidirect
983. #462C2×D43semidirect
990. #452C2×D43semidirect
991. #451C2×D43semidirect
1031. #435C2×D43semidirect
1050. C43#61500semidirect

Maximal subgroups

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

subgroupindex
#191487052
#191486642
#191476602
#191475412
#191472842
#191472502
#191471612
#191471312
#191470972
#191465272
#191465232
#191464972
#191464862
#191464382
#191464232
#191462202
#191461352
#191452712
#191452602
#191451662
#191448252
#191448082
#191447872
#191447762
#191447052
#191435652
#191434392
#191434262
#135×Dic432
C43×#32692
#6150043