Finite Group Databasebeta

← #25979894

Subgroups — #25979894

Order 11008.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148648C211yesmaximal, characteristic, complemented
2#19148631C211yesmaximal, characteristic, complemented
3#19147677C211yesmaximal, characteristic, complemented
4#19147492C211yesmaximal, characteristic, complemented
5#19147419C211yesmaximal, characteristic, complemented
6#19147308C211yesmaximal, characteristic, complemented
7#19147211C211yesmaximal, characteristic, complemented
8#19147075C211yesmaximal, characteristic, complemented
9#19147030C211yesmaximal, characteristic, complemented
10#19146904C211yesmaximal, characteristic, complemented
11#19146800C211yesmaximal, characteristic, complemented
12#19146695C211yesmaximal, characteristic, complemented
13#19146676C211yesmaximal, characteristic, complemented
14#19146631C211yesmaximal, characteristic, complemented
15#19146560C211yesmaximal, characteristic, complemented
16#19146114C211yesmaximal, characteristic, complemented
17#19146114C211yesmaximal, characteristic, complemented
18#19145256C211yesmaximal, characteristic, complemented
19#19145209C211yesmaximal, characteristic, complemented
20#19145194C211yesmaximal, characteristic, complemented
21#19144869C211yesmaximal, characteristic, complemented
22#19144854C211yesmaximal, characteristic, complemented
23#19144802C211yesmaximal, characteristic, complemented
24#19144772C211yesmaximal, characteristic, complemented
25#19144750C211yesmaximal, characteristic, complemented
26#19144728C211yesmaximal, characteristic, complemented
27#19143581C211yesmaximal, characteristic, complemented
28#19143465C211yesmaximal, characteristic, complemented
29#19143428C211yesmaximal, characteristic, complemented
30AGL(1,ℤ/8)×Dic43C211yesmaximal, characteristic, complemented
31C43×#3273C211yesmaximal, characteristic, complemented
32C2×#13063344C2211yescharacteristic
33#14583619C2211yescharacteristic
34#14583618C2211yescharacteristic, complemented
35#14583618C2211yescharacteristic, complemented
36#14583607C2211yescharacteristic, complemented
37#14583606C2211yescharacteristic
38#14583606C2211yescharacteristic, complemented
39#14583601—21no—
40#14583596C2211yescharacteristic
41#14583586—21no—
42#14583586—21no—
43#14583583C2211yescharacteristic, complemented
44#14583580—21no—
45#14583580—21no—
46#14583575—21no—
47#14583575—21no—
48D4×Dic86C2211yescharacteristic, complemented
49#14583555—21no—
50#14583549C2211yescharacteristic
51#14583548C2211yescharacteristic
52#14583548C2211yescharacteristic
53#14583543C2211yescharacteristic, complemented
54#14583543C2211yescharacteristic, complemented
55#14583518C2211yescharacteristic, complemented
56#14583518C2211yescharacteristic, complemented
57#14583516C2211yescharacteristic
58#14583509C2211yescharacteristic, complemented
59#14583494—21no—
60#14583494—21no—
61#14583493—21no—
62#14583484—21no—
63#14583451C2211yescharacteristic, complemented
64#14583430C2211yescharacteristic
65#14583429C2211yescharacteristic
66#14583426—21no—
67C2×#13063318—21no—
68#14583405—21no—
69C2×#13063302—21no—
70#14583382C2211yescharacteristic
71#14583378C2211yescharacteristic, complemented
72#14583378C2211yescharacteristic, complemented
73#14583374C2211yescharacteristic, complemented
74#41×Dic43C2211yescharacteristic
75C2×D4×Dic43C2211yescharacteristic, complemented
76#14583307C2211yescharacteristic, complemented
77#14583307C2211yescharacteristic, complemented
78#14583297C2211yescharacteristic, complemented
79#14583290C2211yescharacteristic, complemented
80#14583290C2211yescharacteristic, complemented
81#14583266C2211yescharacteristic, complemented
82#14583258C2211yescharacteristic, complemented
83#14583258C2211yescharacteristic, complemented
84#14583257C2211yescharacteristic, complemented
85#14583252C2211yescharacteristic, complemented
86#14583248C2211yescharacteristic, complemented
87#14583241C2211yescharacteristic, complemented
88#14583241C2211yescharacteristic, complemented
89#14583237C2211yescharacteristic, complemented
90#14583233C2211yescharacteristic, complemented
91#14583232C2211yescharacteristic, complemented
92#14583230C2211yescharacteristic, complemented
93#14583230C2211yescharacteristic, complemented
94#14583228C2211yescharacteristic, complemented
95#14583220C2211yescharacteristic
96#14583216C2211yescharacteristic, complemented
97#14583211C2211yescharacteristic, complemented
98#14583210C2211yescharacteristic
99#14583204C2211yescharacteristic, complemented
100#14583201C2211yescharacteristic, complemented
101#14583201C2211yescharacteristic, complemented
102#14583201C2211yescharacteristic, complemented
103#14583195C2211yescharacteristic, complemented
104#14583192C2211yescharacteristic, complemented
105#14583189C2211yescharacteristic, complemented
106#14583187C2211yescharacteristic, complemented
107#14583187C2211yescharacteristic, complemented
108#14583185C2211yescharacteristic, complemented
109#14583179C2211yescharacteristic, complemented
110#14583177C2211yescharacteristic, complemented
111#14583157C2211yescharacteristic, complemented
112#14583157C2211yescharacteristic, complemented
113#14583155C2211yescharacteristic, complemented
114#14583154C2211yescharacteristic, complemented
115#14583149C2211yescharacteristic
116#14583143C2211yescharacteristic
117#14583138C2211yescharacteristic, complemented
118#14583126C2211yescharacteristic
119#14583125C2211yescharacteristic, complemented
120#14583125C2211yescharacteristic, complemented
121#14583118C2211yescharacteristic, complemented
122#14583118C2211yescharacteristic, complemented
123#14583112C2211yescharacteristic
124#14583112C2211yescharacteristic
125#14583112C2211yescharacteristic
126#14583112C2211yescharacteristic
127#14583107C2211yescharacteristic, complemented
128#14583107C2211yescharacteristic, complemented
129#14583102C2211yescharacteristic, complemented
130#14583102C2211yescharacteristic, complemented
131#14583061C2211yescharacteristic
132#14583061C2211yescharacteristic
133#14583058C2211yescharacteristic, complemented
134#14583058C2211yescharacteristic, complemented
135#14583050C2211yescharacteristic, complemented
136#14583050C2211yescharacteristic, complemented
137#14583041C2211yescharacteristic
138#14583041C2211yescharacteristic
139#14583029C2211yescharacteristic, complemented
140#14583028C2211yescharacteristic, complemented
141#14583011C2211yescharacteristic
142#14583011C2211yescharacteristic
143#14583011C2211yescharacteristic
144#14583011C2211yescharacteristic
145#14583011C2211yescharacteristic
146#14583006C2211yescharacteristic, complemented
147#14583003C2211yescharacteristic, complemented
148#14583000C2211yescharacteristic, complemented
149#14583000C2211yescharacteristic, complemented
150#14583000C2211yescharacteristic, complemented
151#14583000C2211yescharacteristic, complemented
152#14582999C2211yescharacteristic, complemented
153#14582999C2211yescharacteristic, complemented
154#14582996C2211yescharacteristic, complemented
155#14582996C2211yescharacteristic, complemented
156#14582996C2211yescharacteristic, complemented
157C4×Dic172C2211yescharacteristic, complemented
158#14582993C2211yescharacteristic, complemented
159#14582991C2211yescharacteristic, complemented
160#14582990C2211yescharacteristic, complemented
161SD16×Dic43C2211yescharacteristic, complemented
162SD16×Dic43C2211yescharacteristic, complemented
163SD16×Dic43C2211yescharacteristic, complemented
164SD16×Dic43C2211yescharacteristic, complemented
165D8×Dic43C2211yescharacteristic
166D8×Dic43C2211yescharacteristic
167D8×Dic43C2211yescharacteristic
168#14582974C2211yescharacteristic, complemented
169#14582971C2211yescharacteristic
170#14582968C2211yescharacteristic, complemented
171#14582968C2211yescharacteristic, complemented
172#14582967C2211yescharacteristic, complemented
173#14582959C2211yescharacteristic, complemented
174#14582957C2211yescharacteristic, complemented
175#14582953C2211yescharacteristic, complemented
176#14582941C2211yescharacteristic, complemented
177#14582941C2211yescharacteristic, complemented
178#107×D43C2211yescharacteristic, complemented
179#14582904C2211yescharacteristic, complemented
180#14582900C2211yescharacteristic
181#14582897C2211yescharacteristic, complemented
182#14582897C2211yescharacteristic, complemented
183#14582895C2211yescharacteristic
184C2×#13063246C2211yescharacteristic, complemented
185#14582857C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
190C43×#546C2211yescharacteristic
191C43×#546C2211yescharacteristic
192C43×#495C2211yescharacteristic
193C43×#468C2211yescharacteristic
194C43×#468C2211yescharacteristic
195C43×#463C2211yescharacteristic
196C43×#463C2211yescharacteristic
197C43×#452C2211yescharacteristic
198C43×#452C2211yescharacteristic
199C43×#447C2211yescharacteristic
200C43×#447C2211yescharacteristic
201C4×D8×C43C2211yescharacteristic
202C43×#436C2211yescharacteristic
203C2×#10621900—21no—
204C2×#10621900C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C22×Dic86—21no—
207C23×Dic43—21no—
208#13063344—24no—
209C2×Dic172C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621883C2311yescharacteristic
213C2×#10621883C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621877C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218C22×C43⋊C8C2311yescharacteristic
219C2×C8×D43C2311yescharacteristic
220#13063325C2311yescharacteristic
221#13063325C2311yescharacteristic
222#13063324C2311yescharacteristic
223#13063324C2311yescharacteristic
224#13063323C2311yescharacteristic
225#13063323C2311yescharacteristic
226#13063320D411yescharacteristic
227#13063318—21no—
228#13063318—21no—
229#13063318—21no—
230#13063318—21no—
231#13063318—21no—
232#13063318—21no—
233#13063318—21no—
234#13063318—21no—
235#13063318—21no—
236#13063318—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318D411yescharacteristic
242#13063316—21no—
243#13063316—21no—
244#13063316C2311yescharacteristic
245#13063316C2311yescharacteristic
246#13063315—21no—
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063315D411yescharacteristic
251#13063312—21no—
252#13063312—21no—
253#13063312C2311yescharacteristic
254#13063312C2311yescharacteristic
255#13063311—21no—
256#13063311—21no—
257#13063311D411yescharacteristic
258#13063309—21no—
259#13063309—21no—
260#13063309D411yescharacteristic
261#13063308—21no—
262#13063308—21no—
263#13063307—21no—
264#13063307—21no—
265#13063306—21no—
266#13063306—21no—
267#13063306—21no—
268#13063306—21no—
269#13063306—21no—
270#13063306—21no—
271#13063306—21no—
272#13063306—21no—
273#13063306D411yescharacteristic
274#13063305—21no—
275#13063304—21no—
276#13063304—21no—
277#13063304C2311yescharacteristic
278#13063304C2311yescharacteristic
279#13063304C2311yescharacteristic
280#13063304C2311yescharacteristic
281#13063302—21no—
282#13063302—21no—
283#13063302—21no—
284#13063302—21no—
285#13063302—21no—
286#13063302—21no—
287#13063302—21no—
288#13063302—21no—
289#13063302—21no—
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302—21no—
295#13063302D411yescharacteristic
296#13063301C2311yescharacteristic
297#13063301C2311yescharacteristic
298#13063297—21no—
299#13063297—21no—
300#13063297—21no—
301#13063297—21no—
302#13063297D411yescharacteristic
303#13063296—21no—
304#13063296C2311yescharacteristic
305#13063296C2311yescharacteristic
306#13063294—21no—
307#13063294—21no—
308Q8×Dic43C2311yescharacteristic
309Q8×Dic43C2311yescharacteristic
310Q8×Dic43C2311yescharacteristic
311Q8×Dic43C2311yescharacteristic
312C4×Dic86C2311yescharacteristic
313C4×Dic86C2311yescharacteristic
314C4×Dic86C2311yescharacteristic
315#13063290—21no—
316#13063290—21no—
317#13063290C2311yescharacteristic
318#13063290C2311yescharacteristic
319D4×Dic43—21no—
320D4×Dic43—21no—
321D4×Dic43—21no—
322D4×Dic43—21no—
323D4×Dic43—21no—
324D4×Dic43—21no—
325D4×Dic43—21no—
326D4×Dic43—21no—
327D4×Dic43—21no—
328D4×Dic43—21no—
329D4×Dic43C2311yescharacteristic
330D4×Dic43C2311yescharacteristic
331D4×Dic43C2311yescharacteristic
332D4×Dic43C2311yescharacteristic
333D4×Dic43C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339C4×C22⋊D43—21no—
340C4×C22⋊D43—21no—
341C4×C22⋊D43C2311yescharacteristic
342C4×C22⋊D43C2311yescharacteristic
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#13063284C2311yescharacteristic
350#13063284C2311yescharacteristic
351#13063284C2311yescharacteristic
352#13063283—21no—
353#13063282C2311yescharacteristic
354#13063281—21no—
355#13063281—21no—
356#13063281—21no—
357#13063281—21no—
358#13063281—21no—
359#13063281—21no—
360C2×C4⋊Dic43—21no—
361C2×C4⋊Dic43—21no—
362C2×C4⋊Dic43C2311yescharacteristic
363C2×C4⋊Dic43C2311yescharacteristic
364C2×Dic43⋊C4—21no—
365C2×Dic43⋊C4—21no—
366C2×Dic43⋊C4—21no—
367C2×Dic43⋊C4—21no—
368C4⋊C4×D43C2311yescharacteristic
369C4⋊C4×D43C2311yescharacteristic
370C2×C22⋊Dic43—21no—
371C2×C22⋊Dic43—21no—
372C2×C22⋊Dic43—21no—
373C2×C22⋊Dic43—21no—
374C2×C22⋊Dic43—21no—
375C2×C4×Dic43—21no—
376C2×C4×Dic43C2311yescharacteristic
377#13063259C2311yescharacteristic
378#13063259C2311yescharacteristic
379#13063259C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063257C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397#13063250C2311yescharacteristic
398#13063250C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C2×#41×C43C2311yescharacteristic
437C2×#41×C43C2311yescharacteristic
438C22×D4×C43C2311yescharacteristic
439C22×D4×C43C2311yescharacteristic
440AGL(1,ℤ/8)×C43—24no—
441AGL(1,ℤ/8)×C43—24no—
442C2×Q16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C2×SD16×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×D8×C43C2311yescharacteristic
448C2×D8×C43C2311yescharacteristic
449C2×D8×C43C2311yescharacteristic
450C2×D8×C43C2311yescharacteristic
451C2×M16×C43C2311yescharacteristic
452C2×M16×C43C2311yescharacteristic
453#124×C43C2311yescharacteristic
454#124×C43C2311yescharacteristic
455#123×C43—21no—
456#123×C43—21no—
457C22⋊Q8×C43C2311yescharacteristic
458C22⋊Q8×C43C2311yescharacteristic
459#121×C43—21no—
460#121×C43—21no—
461#121×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463#120×C43—21no—
464#120×C43—21no—
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467C4×D4×C43C2311yescharacteristic
468C2×C22⋊C4×C43—21no—
469C2×C22⋊C4×C43—21no—
470#107×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C24×C43—21no—
482C24×C43—21no—
483#41×C43—22no—
484#41×C43—22no—
485#41×C43—41no—
486#41×C43—41no—
487C2×Q8×C43C2411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43—22no—
496C2×D4×C43—22no—
497C2×D4×C43—41no—
498C2×D4×C43—41no—
499C2×D4×C43C2×D411yescharacteristic
500C2×D4×C43C2411yescharacteristic
501C2×D4×C43C2411yescharacteristic
502C2×D4×C43C2411yescharacteristic
503C2×D4×C43C2411yescharacteristic
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43C2411yescharacteristic
509C22×C4×C43C2411yescharacteristic
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43C2×D411yescharacteristic
515C2×C22⋊D43C2×D411yescharacteristic
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43—21no—
528C22×Dic43—21no—
529C22×Dic43—21no—
530C22×Dic43—82no—
531C22×Dic43C2×D411yescharacteristic
532C22×Dic43C2×D411yescharacteristic
533#10621900—22no—
534#10621900—22no—
535#10621900—41no—
536#10621900—41no—
537#10621900—82no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43C2411yescharacteristic
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—21no—
545C2×Dic86—82no—
546C2×Dic86C2×D411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549Q16×C43—41no—
550SD16×C43—22no—
551SD16×C43—22no—
552SD16×C43—22no—
553SD16×C43—22no—
554D8×C43—22no—
555D8×C43—22no—
556D8×C43—41no—
557D8×C43#4114yescomplemented
558M16×C43—22no—
559M16×C43—22no—
560C2×C8×C43C2411yescharacteristic
561C2×C8×C43C2411yescharacteristic
562C2×C8×C43C2411yescharacteristic
563C2×C8×C43C2411yescharacteristic
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43C2×D411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43C2×D411yescharacteristic
580C22⋊C4×C43C2×D411yescharacteristic
581C42×C43C2411yescharacteristic
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43C2×D411yescharacteristic
605C22⋊Dic43C2×D411yescharacteristic
606C22⋊Dic43C2×D411yescharacteristic
607C22⋊Dic43C2×D411yescharacteristic
608#10621885—41no—
609#10621885—41no—
610#10621883—22no—
611#10621883—22no—
612#10621883—41no—
613#10621883—41no—
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⋊Dic43C2×D411yescharacteristic
631C4⋊Dic43C2×D411yescharacteristic
632C4⋊Dic43C2×D411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
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⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43C2×D411yescharacteristic
676C4×Dic43C2×D411yescharacteristic
677C4×Dic43C2411yescharacteristic
678C4×Dic43C2411yescharacteristic
679C4×Dic43C2411yescharacteristic
680#10621877—41no—
681C2×C43⋊C8—41no—
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686Dic172—22no—
687#10621872—41no—
688C8×D43—22no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43—21no—
692C23×C43—21no—
693C23×C43—42no—
694C23×C43—42no—
695C23×C43—42no—
696C23×C43—81no—
697C23×C43—81no—
698C23×C43—81no—
699C23×C43C22×D411yescharacteristic
700C23×C43C22×D411yescharacteristic
701C22×D43C22×D411yescharacteristic
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—21no—
705Q8×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—21no—
712D4×C43—41no—
713D4×C43—42no—
714D4×C43—42no—
715D4×C43—42no—
716D4×C43—42no—
717D4×C43—81no—
718D4×C43—81no—
719D4×C43C2×#4112yes—
720D4×C43C2×#4112yes—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—42no—
730C2×C4×C43—42no—
731C2×C4×C43—81no—
732C2×C4×C43—81no—
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C22×D411yescharacteristic
735C2×C4×C43C22×D411yescharacteristic
736C2×C4×C43C22×D411yescharacteristic
737C2×C4×C43C2511yescharacteristic
738C22⋊D43—41no—
739C22⋊D43—41no—
740C22⋊D43—42no—
741C22⋊D43—42no—
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—21no—
751C2×Dic43—21no—
752C2×Dic43—41no—
753C2×Dic43—41no—
754C2×Dic43—42no—
755C2×Dic43—42no—
756C2×Dic43—42no—
757C2×Dic43—42no—
758C2×Dic43—81no—
759C2×Dic43—81no—
760C2×Dic43—81no—
761C2×Dic43—81no—
762C2×Dic43—81no—
763C2×Dic43—81no—
764C2×Dic43—81no—
765C2×Dic43—81no—
766C2×Dic43—81no—
767C2×Dic43—81no—
768C2×Dic43C22×D411yescharacteristic
769C2×Dic43C22×D411yescharacteristic
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775C4×D43—21no—
776C4×D43—21no—
777C4×D43—81no—
778C4×D43—81no—
779Dic86—21no—
780Dic86—21no—
781Dic86—21no—
782Dic86—21no—
783Dic86—41no—
784Dic86—42no—
785Dic86—81no—
786Dic86—81no—
787Dic86—81no—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43C2×#4112yes—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8—21no—
796#61510—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—22no—
802C22×C43—22no—
803C22×C43—21no—
804C22×C43—21no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—41no—
813C22×C43—41no—
814C22×C43—41no—
815C22×C43—84no—
816C22×C43—162no—
817C22×C43C23×D411yescharacteristic
818C2×D43—21no—
819C2×D43—21no—
820C2×D43—21no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—41no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43C22×#4111yescharacteristic
830C4×C43#58511yescharacteristic
831Dic43—21no—
832Dic43—21no—
833Dic43—21no—
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—41no—
839Dic43—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3521—431no—
847#3520—431no—
848#3402—431no—
849#3384—431no—
850#3376—431no—
851#3367—431no—
852#3356—431no—
853#3346—431no—
854#3343—431no—
855#3331—431no—
856#3322—431no—
857#3315—431no—
858#3314—431no—
859#3311—431no—
860#3306—431no—
861#3273D4311yescharacteristic, complemented
862#3267—431no—
863#3267—431no—
864#3178—431no—
865#3173—431no—
866#3172—431no—
867#3125—431no—
868#3124—431no—
869#3120—431no—
870#3118—431no—
871#3116—431no—
872#3114—431no—
873#2967—431no—
874#2951—431no—
875#2946—431no—
876C4×AGL(1,ℤ/8)—431no—
877C2×C43—41no—
878C2×C43—41no—
879C2×C43—42no—
880C2×C43—42no—
881C2×C43—81no—
882C2×C43—81no—
883C2×C43D4×#4111yescharacteristic
884C2×C43#358511yescharacteristic
885C2×C43#358611yescharacteristic
886D43—41no—
887C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
888C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
889C2×#135—431no—
890#556—431no—
891#556—431no—
892#556—431no—
893#554—431no—
894#554—431no—
895#554—431no—
896#553—431no—
897#553—861no—
898#552—431no—
899#552—861no—
900#552—861no—
901#551—861no—
902#551—861no—
903#551—861no—
904#551—861no—
905D4×Q8—431no—
906#548—861no—
907#547—431no—
908#547—431no—
909#547—431no—
910#546—431no—
911#546—431no—
912#546C2×D4311yescharacteristic
913#546C2×D4311yescharacteristic
914#542—431no—
915#542—431no—
916#542—431no—
917#541—431no—
918#539—861no—
919#539—861no—
920#539—861no—
921#538—861no—
922#533—431no—
923#529—431no—
924#529—431no—
925#529—861no—
926C2×#126—861no—
927#525—861no—
928C2×C22⋊Q8—861no—
929#520—431no—
930#520—431no—
931#520—431no—
932#518—431no—
933C4×#41—431no—
934C2×C4×D4—431no—
935#501—431no—
936#501—431no—
937#498—431no—
938#497—431no—
939#497—431no—
940#495C2×D4311yescharacteristic
941#491—431no—
942#489—431no—
943#489—431no—
944#489—431no—
945#488—431no—
946#487—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#484—431no—
951#484—431no—
952#483—431no—
953#483—431no—
954#483—431no—
955#482—431no—
956#481—431no—
957#480—431no—
958#480—431no—
959#479—431no—
960#478—431no—
961#478—431no—
962#478—431no—
963#477—431no—
964#477—431no—
965#476—431no—
966#476—431no—
967#476—431no—
968#475—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#470—431no—
973#470—431no—
974#470—431no—
975#469—431no—
976#468—431no—
977#468C2×D4311yescharacteristic
978#468C2×D4311yescharacteristic
979#467—431no—
980#465—431no—
981#465—431no—
982#465—431no—
983#464—431no—
984#464—431no—
985#463—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463C2×D4311yescharacteristic
990#463C2×D4311yescharacteristic
991#462—431no—
992#462—431no—
993#461—431no—
994#461—431no—
995#452—431no—
996#452—431no—
997#452—431no—
998#452—431no—
999#452C2×D4311yescharacteristic
1000#452C2×D4311yescharacteristic
1001#450—431no—
1002#450—431no—
1003#449—431no—
1004#449—431no—
1005#447C2×D4311yescharacteristic
1006#447C2×D4311yescharacteristic
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
1013#442—431no—
1014#441—431no—
1015#441—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×Q16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×D8—431no—
1034C4×D8—431no—
1035C4×D8—431no—
1036C4×D8C2×D4311yescharacteristic
1037#436—431no—
1038#436C2×D4311yescharacteristic
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435—431no—
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428—431no—
1047#428—431no—
1048C2×#107—431no—
1049#418—431no—
1050#417—431no—
1051#417—431no—
1052#417—431no—
1053#416—431no—
1054C2×#102—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6151011yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—861no—
1062C2×#41C22×D4311yescharacteristic
1063C2×#41C22×D4311yescharacteristic
1064C22×Q8—861no—
1065C22×D4C22×D4311yescharacteristic
1066C22×D4C22×D4311yescharacteristic
1067C23×C4—861no—
1068AGL(1,ℤ/8)—24no—
1069AGL(1,ℤ/8)—24no—
1070#135—864no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×Q16—431no—
1074C2×Q16C22×D4311yescharacteristic
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16C22×D4311yescharacteristic
1080C2×SD16C22×D4311yescharacteristic
1081C2×SD16C22×D4311yescharacteristic
1082C2×SD16C22×D4311yescharacteristic
1083C2×D8C22×D4311yescharacteristic
1084C2×D8C22×D4311yescharacteristic
1085C2×D8C22×D4311yescharacteristic
1086C2×D8C22×D4311yescharacteristic
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16C22×D4311yescharacteristic
1090C2×M16C22×D4311yescharacteristic
1091C22×C8—431no—
1092C22×C8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8—431no—
1098C4⋊Q8—431no—
1099#126—431no—
1100#126—431no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#126—861no—
1112#126—861no—
1113#126—861no—
1114#126—861no—
1115#125—431no—
1116#125—431no—
1117#125—431no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125—861no—
1124#124—431no—
1125#124—431no—
1126#124—431no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124C22×D4311yescharacteristic
1132#124C22×D4311yescharacteristic
1133#123—21no—
1134#123—21no—
1135#123—431no—
1136#123—431no—
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—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8—861no—
1173C22⋊Q8—861no—
1174C22⋊Q8—861no—
1175C22⋊Q8C22×D4311yescharacteristic
1176C22⋊Q8C22×D4311yescharacteristic
1177#121—21no—
1178#121—21no—
1179#121—431no—
1180#121—431no—
1181#121—431no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121C22×D4311yescharacteristic
1188#121C22×D4311yescharacteristic
1189#120—21no—
1190#120—21no—
1191#120—861no—
1192#120—861no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—431no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
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×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4C22×D4311yescharacteristic
1233C4×D4C22×D4311yescharacteristic
1234C4×D4C22×D4311yescharacteristic
1235#117—431no—
1236#117—431no—
1237#117—431no—
1238#117—431no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—431no—
1250C2×C4⋊C4—431no—
1251C2×C4⋊C4—431no—
1252C2×C4⋊C4—861no—
1253C2×C4⋊C4—861no—
1254C2×C4⋊C4—861no—
1255C2×C4⋊C4—861no—
1256C2×C4⋊C4—861no—
1257C2×C4⋊C4—861no—
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—21no—
1260C2×C22⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C42—431no—
1266C2×C42—861no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107C22×D4311yescharacteristic
1275#106—431no—
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282#106—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8C22×D4311yescharacteristic
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103—431no—
1303#103C22×D4311yescharacteristic
1304#103C22×D4311yescharacteristic
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8C22×D4311yescharacteristic
1326C22⋊C8C22×D4311yescharacteristic
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332#97—431no—
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8C22×D4311yescharacteristic
1337C24—21no—
1338C24—21no—
1339#41—22no—
1340#41—22no—
1341#41—41no—
1342#41—41no—
1343#41—862no—
1344#41—862no—
1345#41—3442no—
1346#41—1721no—
1347#41—1721no—
1348C2×Q8—431no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8—861no—
1354C2×Q8—861no—
1355C2×Q8—3442no—
1356C2×Q8C23×D4311yescharacteristic
1357C2×Q8C23×D4311yescharacteristic
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—431no—
1369C2×D4—431no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4D4×D4311yescharacteristic
1375C2×D4C23×D4311yescharacteristic
1376C2×D4C23×D4311yescharacteristic
1377C2×D4C23×D4311yescharacteristic
1378C2×D4C23×D4311yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—431no—
1384C22×C4—431no—
1385C22×C4—431no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—3442no—
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—41no—
1406Q16—862no—
1407Q16—1721no—
1408Q16—1721no—
1409SD16—22no—
1410SD16—22no—
1411SD16—22no—
1412SD16—22no—
1413SD16—862no—
1414SD16—862no—
1415SD16—1721no—
1416SD16—1721no—
1417D8—22no—
1418D8—22no—
1419D8—41no—
1420D8#1062190014yescomplemented
1421M16—22no—
1422M16—22no—
1423M16—1721no—
1424M16—1721no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—862no—
1430C2×C8—1721no—
1431C2×C8C23×D4311yescharacteristic
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—431no—
1438C4⋊C4—431no—
1439C4⋊C4—431no—
1440C4⋊C4—431no—
1441C4⋊C4—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
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⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4D4×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C4⋊C4C23×D4311yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—431no—
1502C22⋊C4—431no—
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⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4D4×D4311yescharacteristic
1528C22⋊C4D4×D4311yescharacteristic
1529C42—431no—
1530C42—431no—
1531C42—431no—
1532C42—431no—
1533C42—431no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—42no—
1550C23—42no—
1551C23—42no—
1552C23—81no—
1553C23—81no—
1554C23—81no—
1555C23—431no—
1556C23C2×D4×D4311yescharacteristic
1557C23C2×D4×D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—861no—
1563Q8—861no—
1564Q8—861no—
1565Q8—861no—
1566Q8—3441no—
1567Q8—3441no—
1568Q8—3441no—
1569Q8—1721no—
1570Q8—1722no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—41no—
1578D4—42no—
1579D4—42no—
1580D4—42no—
1581D4—42no—
1582D4—81no—
1583D4—81no—
1584D4—3441no—
1585D4—3441no—
1586D4—1721no—
1587D4—1721no—
1588D4—1722no—
1589D4—1722no—
1590D4C2×#1062190012yes—
1591D4C2×#1062190012yes—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—42no—
1601C2×C4—42no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—431no—
1605C2×C4—431no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—861no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—3441no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—3441no—
1633C2×C4—1721no—
1634C2×C4—1721no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4—1722no—
1638C2×C4—1722no—
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C2×D4×D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—861no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C8C2×#1062190012yes—
1652C22—21no—
1653C22—21no—
1654C22—22no—
1655C22—22no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—84no—
1671C22—162no—
1672C22—861no—
1673C22—861no—
1674C22—861no—
1675C22C22×D4×D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—861no—
1685C4—861no—
1686C4—861no—
1687C4—861no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—1721no—
1692C4—1721no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C22×#1062190011yescharacteristic
1700C4#1458373411yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—42no—
1704C2—42no—
1705C2—81no—
1706C2—81no—
1707C2—1721no—
1708C2D4×#1062190011yescharacteristic
1709C2#1914937011yescharacteristic
1710C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3273C2
socleC22×C43C23×D4
hypercenter#3273D43
hypocenterC43#61510
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3273

Complements

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

NH ≅ G/Ntype
1. #19148648C2semidirect
2. #19148631C2semidirect
3. #19147677C2semidirect
4. #19147492C2semidirect
5. #19147419C2semidirect
6. #19147308C2semidirect
7. #19147211C2semidirect
8. #19147075C2semidirect
9. #19147030C2semidirect
10. #19146904C2semidirect
11. #19146800C2semidirect
12. #19146695C2semidirect
13. #19146676C2semidirect
14. #19146631C2semidirect
15. #19146560C2semidirect
16. #19146114C2semidirect
17. #19146114C2semidirect
18. #19145256C2semidirect
19. #19145209C2semidirect
20. #19145194C2semidirect
21. #19144869C2semidirect
22. #19144854C2semidirect
23. #19144802C2semidirect
24. #19144772C2semidirect
25. #19144750C2semidirect
26. #19144728C2semidirect
27. #19143581C2semidirect
28. #19143465C2semidirect
29. #19143428C2semidirect
30. AGL(1,ℤ/8)×Dic43C2semidirect
31. C43×#3273C2semidirect
34. #14583618C22semidirect
35. #14583618C22semidirect
36. #14583607C22semidirect
38. #14583606C22semidirect
43. #14583583C22semidirect
48. D4×Dic86C22semidirect
53. #14583543C22semidirect
54. #14583543C22semidirect
55. #14583518C22semidirect
56. #14583518C22semidirect
58. #14583509C22semidirect
63. #14583451C22semidirect
71. #14583378C22semidirect
72. #14583378C22semidirect
73. #14583374C22semidirect
75. C2×D4×Dic43C22semidirect
76. #14583307C22semidirect
77. #14583307C22semidirect
78. #14583297C22semidirect
79. #14583290C22semidirect
80. #14583290C22semidirect
81. #14583266C22semidirect
82. #14583258C22semidirect
83. #14583258C22semidirect
84. #14583257C22semidirect
85. #14583252C22semidirect
86. #14583248C22semidirect
87. #14583241C22semidirect
88. #14583241C22semidirect
89. #14583237C22semidirect
90. #14583233C22semidirect
91. #14583232C22semidirect
92. #14583230C22semidirect
93. #14583230C22semidirect
94. #14583228C22semidirect
96. #14583216C22semidirect
97. #14583211C22semidirect
99. #14583204C22semidirect
100. #14583201C22semidirect
101. #14583201C22semidirect
102. #14583201C22semidirect
103. #14583195C22semidirect
104. #14583192C22semidirect
105. #14583189C22semidirect
106. #14583187C22semidirect
107. #14583187C22semidirect
108. #14583185C22semidirect
109. #14583179C22semidirect
110. #14583177C22semidirect
111. #14583157C22semidirect
112. #14583157C22semidirect
113. #14583155C22semidirect
114. #14583154C22semidirect
117. #14583138C22semidirect
119. #14583125C22semidirect
120. #14583125C22semidirect
121. #14583118C22semidirect
122. #14583118C22semidirect
127. #14583107C22semidirect
128. #14583107C22semidirect
129. #14583102C22semidirect
130. #14583102C22semidirect
133. #14583058C22semidirect
134. #14583058C22semidirect
135. #14583050C22semidirect
136. #14583050C22semidirect
139. #14583029C22semidirect
140. #14583028C22semidirect
146. #14583006C22semidirect
147. #14583003C22semidirect
148. #14583000C22semidirect
149. #14583000C22semidirect
150. #14583000C22semidirect
151. #14583000C22semidirect
152. #14582999C22semidirect
153. #14582999C22semidirect
154. #14582996C22semidirect
155. #14582996C22semidirect
156. #14582996C22semidirect
157. C4×Dic172C22semidirect
158. #14582993C22semidirect
159. #14582991C22semidirect
160. #14582990C22semidirect
161. SD16×Dic43C22semidirect
162. SD16×Dic43C22semidirect
163. SD16×Dic43C22semidirect
164. SD16×Dic43C22semidirect
168. #14582974C22semidirect
170. #14582968C22semidirect
171. #14582968C22semidirect
172. #14582967C22semidirect
173. #14582959C22semidirect
174. #14582957C22semidirect
175. #14582953C22semidirect
176. #14582941C22semidirect
177. #14582941C22semidirect
178. #107×D43C22semidirect
179. #14582904C22semidirect
181. #14582897C22semidirect
182. #14582897C22semidirect
184. C2×#13063246C22semidirect
185. #14582857C22semidirect
186. #14582853C22semidirect
187. M16×Dic43C22semidirect
557. D8×C43#41semidirect
861. #3273D43semidirect
1058. C43#61510semidirect
1420. D8#10621900semidirect

Maximal subgroups

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

subgroupindex
#191486482
#191486312
#191476772
#191474922
#191474192
#191473082
#191472112
#191470752
#191470302
#191469042
#191468002
#191466952
#191466762
#191466312
#191465602
#191461142
#191452562
#191452092
#191451942
#191448692
#191448542
#191448022
#191447722
#191447502
#191447282
#191435812
#191434652
#191434282
AGL(1,ℤ/8)×Dic432
C43×#32732
#6151043