Finite Group Databasebeta

← #25979863

Subgroups — #25979863

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#19148560C211yesmaximal, characteristic, complemented
2#19148520C211yesmaximal, characteristic, complemented
3#19147653C211yesmaximal, characteristic, complemented
4#19147551C211yesmaximal, characteristic, complemented
5#19147371C211yesmaximal, characteristic, complemented
6#19147341C211yesmaximal, characteristic, complemented
7#19147169C211yesmaximal, characteristic, complemented
8#19147075C211yesmaximal, characteristic, complemented
9#19147030C211yesmaximal, characteristic, complemented
10#19146893C211yesmaximal, characteristic, complemented
11#19146815C211yesmaximal, characteristic, complemented
12#19146691C211yesmaximal, characteristic, complemented
13#19146680C211yesmaximal, characteristic, complemented
14#19146616C211yesmaximal, characteristic, complemented
15#19146575C211yesmaximal, characteristic, complemented
16#19146114C211yesmaximal, characteristic, complemented
17#19146114C211yesmaximal, characteristic, complemented
18#19145256C211yesmaximal, characteristic, complemented
19#19145220C211yesmaximal, characteristic, complemented
20#19145194C211yesmaximal, characteristic, complemented
21#19144850C211yesmaximal, characteristic, complemented
22#19144841C211yesmaximal, characteristic, complemented
23#19144806C211yesmaximal, characteristic, complemented
24#19144791C211yesmaximal, characteristic, complemented
25#19144697C211yesmaximal, characteristic, complemented
26#19144689C211yesmaximal, characteristic, complemented
27#19143581C211yesmaximal, characteristic, complemented
28#19143465C211yesmaximal, characteristic, complemented
29#19143428C211yesmaximal, characteristic, complemented
30AGL(1,ℤ/8)×Dic43C211yesmaximal, characteristic, complemented
31C43×#3272C211yesmaximal, characteristic, complemented
32C2×#13063344C2211yescharacteristic
33#14583635C2211yescharacteristic
34#14583624C2211yescharacteristic, complemented
35#14583608C2211yescharacteristic
36#14583608C2211yescharacteristic, complemented
37#14583607C2211yescharacteristic, complemented
38#14583596C2211yescharacteristic
39#14583592—21no—
40#14583592—21no—
41#14583589C2211yescharacteristic
42#14583589C2211yescharacteristic
43#14583586—21no—
44#14583586—21no—
45#14583584—21no—
46#14583583C2211yescharacteristic, complemented
47#14583580—21no—
48#14583580—21no—
49#14583549C2211yescharacteristic
50#14583548C2211yescharacteristic, complemented
51#14583548C2211yescharacteristic, complemented
52#14583543—21no—
53#14583543C2211yescharacteristic
54#14583543C2211yescharacteristic
55#14583516C2211yescharacteristic
56#14583510C2211yescharacteristic, complemented
57#14583509C2211yescharacteristic, complemented
58#14583503C2211yescharacteristic
59#14583494—21no—
60#14583494—21no—
61#14583493—21no—
62#14583484—21no—
63#14583451C2211yescharacteristic, complemented
64#14583430C2211yescharacteristic
65#14583429C2211yescharacteristic
66#14583426—21no—
67C2×#13063315—21no—
68#14583405—21no—
69C2×#13063306—21no—
70#14583382C2211yescharacteristic, complemented
71#14583378C2211yescharacteristic
72#14583378C2211yescharacteristic, complemented
73#14583374C2211yescharacteristic
74#41×Dic43C2211yescharacteristic, complemented
75C2×D4×Dic43C2211yescharacteristic
76#14583307C2211yescharacteristic, complemented
77#14583307C2211yescharacteristic, complemented
78#14583301C2211yescharacteristic, complemented
79#14583290C2211yescharacteristic, complemented
80#14583290C2211yescharacteristic, complemented
81#14583267C2211yescharacteristic, complemented
82#14583266C2211yescharacteristic, complemented
83#14583263C2211yescharacteristic
84#14583257C2211yescharacteristic, complemented
85#14583252C2211yescharacteristic, complemented
86#14583248C2211yescharacteristic, complemented
87#14583241C2211yescharacteristic, complemented
88#14583241C2211yescharacteristic, complemented
89#14583237C2211yescharacteristic, complemented
90#14583235C2211yescharacteristic, complemented
91#14583235C2211yescharacteristic, complemented
92#14583233C2211yescharacteristic, complemented
93#14583232C2211yescharacteristic, complemented
94#14583228C2211yescharacteristic, complemented
95#14583220C2211yescharacteristic
96#14583216C2211yescharacteristic, complemented
97#14583211C2211yescharacteristic, complemented
98#14583210C2211yescharacteristic
99#14583207C2211yescharacteristic, complemented
100#14583207C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583201C2211yescharacteristic, complemented
103#14583199C2211yescharacteristic
104#14583199C2211yescharacteristic, complemented
105#14583197C2211yescharacteristic
106#14583197C2211yescharacteristic, complemented
107#14583192C2211yescharacteristic, complemented
108#14583177C2211yescharacteristic
109#14583177C2211yescharacteristic, complemented
110#14583177C2211yescharacteristic, complemented
111#14583157C2211yescharacteristic, complemented
112#14583157C2211yescharacteristic, complemented
113#14583155C2211yescharacteristic, complemented
114#14583143C2211yescharacteristic
115#14583142C2211yescharacteristic, complemented
116#14583142C2211yescharacteristic, complemented
117#14583138C2211yescharacteristic, complemented
118#14583126C2211yescharacteristic
119#14583125C2211yescharacteristic, complemented
120#14583125C2211yescharacteristic, complemented
121#14583119C2211yescharacteristic, complemented
122#14583119C2211yescharacteristic, complemented
123#14583112C2211yescharacteristic, complemented
124#14583112C2211yescharacteristic, complemented
125#14583106C2211yescharacteristic, complemented
126#14583102C2211yescharacteristic
127#14583102C2211yescharacteristic
128#14583102C2211yescharacteristic, complemented
129#14583102C2211yescharacteristic, complemented
130#14583096C2211yescharacteristic
131#14583061C2211yescharacteristic, complemented
132#14583061C2211yescharacteristic, complemented
133#14583058C2211yescharacteristic
134#14583058C2211yescharacteristic
135#14583050C2211yescharacteristic
136#14583050C2211yescharacteristic
137#14583041C2211yescharacteristic, complemented
138#14583041C2211yescharacteristic, complemented
139#14583029C2211yescharacteristic, complemented
140#14583028C2211yescharacteristic, complemented
141#14583011C2211yescharacteristic
142#14583011C2211yescharacteristic
143#14583011C2211yescharacteristic, complemented
144#14583011C2211yescharacteristic, complemented
145#14583003C2211yescharacteristic, complemented
146#14583000C2211yescharacteristic
147#14583000C2211yescharacteristic
148#14583000C2211yescharacteristic, complemented
149#14583000C2211yescharacteristic, complemented
150#14583000C2211yescharacteristic, complemented
151#14583000C2211yescharacteristic, complemented
152#14582999C2211yescharacteristic
153#14582999C2211yescharacteristic, complemented
154#14582996C2211yescharacteristic
155#14582996C2211yescharacteristic, complemented
156#14582996C2211yescharacteristic, complemented
157C4×Dic172C2211yescharacteristic, complemented
158#14582993C2211yescharacteristic, complemented
159#14582991C2211yescharacteristic, complemented
160#14582990C2211yescharacteristic, complemented
161SD16×Dic43C2211yescharacteristic
162SD16×Dic43C2211yescharacteristic
163SD16×Dic43C2211yescharacteristic, complemented
164SD16×Dic43C2211yescharacteristic, complemented
165D8×Dic43C2211yescharacteristic
166D8×Dic43C2211yescharacteristic, complemented
167D8×Dic43C2211yescharacteristic, complemented
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
180#14582900C2211yescharacteristic, complemented
181#14582897C2211yescharacteristic
182#14582897C2211yescharacteristic, complemented
183#14582895C2211yescharacteristic, complemented
184C2×#13063246C2211yescharacteristic
185#14582857C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
190C43×#547C2211yescharacteristic
191D42×C43C2211yescharacteristic
192C43×#492C2211yescharacteristic
193C43×#468C2211yescharacteristic
194C43×#468C2211yescharacteristic
195C43×#461C2211yescharacteristic
196C43×#459C2211yescharacteristic
197C43×#450C2211yescharacteristic
198C43×#450C2211yescharacteristic
199C43×#449C2211yescharacteristic
200C43×#449C2211yescharacteristic
201C4×D8×C43C2211yescharacteristic
202C43×#436C2211yescharacteristic
203C2×#10621900—21no—
204C2×#10621900C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C23×Dic43—21no—
207#13063344—24no—
208C2×Dic172C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621883C2311yescharacteristic
212C2×#10621883C2311yescharacteristic
213C2×#10621883C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215C2×#10621877C2311yescharacteristic
216C2×#10621872C2311yescharacteristic
217C22×C43⋊C8C2311yescharacteristic
218C2×C8×D43C2311yescharacteristic
219#13063324C2311yescharacteristic
220#13063324C2311yescharacteristic
221#13063323C2311yescharacteristic
222#13063323C2311yescharacteristic
223#13063320—21no—
224#13063320—21no—
225#13063320D411yescharacteristic
226#13063318—21no—
227#13063318—21no—
228#13063318—21no—
229#13063318—21no—
230#13063318—21no—
231#13063318—21no—
232#13063318—21no—
233#13063318—21no—
234#13063318D411yescharacteristic
235#13063317C2311yescharacteristic
236#13063317C2311yescharacteristic
237#13063316—21no—
238#13063316—21no—
239#13063316C2311yescharacteristic
240#13063316C2311yescharacteristic
241#13063315—21no—
242#13063315—21no—
243#13063315—21no—
244#13063315—21no—
245#13063315—21no—
246#13063315—21no—
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315D411yescharacteristic
252#13063312—21no—
253#13063312—21no—
254#13063312C2311yescharacteristic
255#13063312C2311yescharacteristic
256#13063311D411yescharacteristic
257#13063309D411yescharacteristic
258#13063308—21no—
259#13063308—21no—
260#13063307—21no—
261#13063307—21no—
262#13063306—21no—
263#13063306—21no—
264#13063306—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#13063306—21no—
274#13063306—21no—
275#13063306—21no—
276#13063306D411yescharacteristic
277#13063305—21no—
278#13063304—21no—
279#13063304—21no—
280#13063304C2311yescharacteristic
281#13063304C2311yescharacteristic
282#13063304C2311yescharacteristic
283#13063304C2311yescharacteristic
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#13063302D411yescharacteristic
293#13063301C2311yescharacteristic
294#13063301C2311yescharacteristic
295#13063297—21no—
296#13063297—21no—
297#13063297—21no—
298#13063297—21no—
299#13063297—21no—
300#13063297—21no—
301#13063297D411yescharacteristic
302#13063296—21no—
303#13063296C2311yescharacteristic
304#13063296C2311yescharacteristic
305#13063294—21no—
306#13063294—21no—
307Q8×Dic43C2311yescharacteristic
308Q8×Dic43C2311yescharacteristic
309Q8×Dic43C2311yescharacteristic
310Q8×Dic43C2311yescharacteristic
311C4×Dic86C2311yescharacteristic
312C4×Dic86C2311yescharacteristic
313C4×Dic86C2311yescharacteristic
314#13063290—21no—
315#13063290—21no—
316#13063290C2311yescharacteristic
317#13063290C2311yescharacteristic
318D4×Dic43—21no—
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×Dic43C2311yescharacteristic
329D4×Dic43C2311yescharacteristic
330D4×Dic43C2311yescharacteristic
331D4×Dic43C2311yescharacteristic
332D4×Dic43C2311yescharacteristic
333D4×Dic43C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338C4×C22⋊D43—21no—
339C4×C22⋊D43—21no—
340C4×C22⋊D43C2311yescharacteristic
341C4×C22⋊D43C2311yescharacteristic
342(C22⋊D43)⋊C4—21no—
343(C22⋊D43)⋊C4—21no—
344(C22⋊D43)⋊C4—21no—
345(C22⋊D43)⋊C4—21no—
346#13063284—21no—
347#13063284—21no—
348#13063284C2311yescharacteristic
349#13063284C2311yescharacteristic
350#13063284C2311yescharacteristic
351#13063283—21no—
352#13063282C2311yescharacteristic
353#13063281—21no—
354#13063281—21no—
355#13063281—21no—
356#13063281—21no—
357#13063281—21no—
358#13063281—21no—
359C2×C4⋊Dic43—21no—
360C2×C4⋊Dic43C2311yescharacteristic
361C2×C4⋊Dic43C2311yescharacteristic
362C2×Dic43⋊C4—21no—
363C2×Dic43⋊C4—21no—
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#13063259C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
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×C43—21no—
439C22×D4×C43C2311yescharacteristic
440C22×D4×C43C2311yescharacteristic
441AGL(1,ℤ/8)×C43—24no—
442AGL(1,ℤ/8)×C43—24no—
443C2×SD16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C2×SD16×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×D8×C43C2311yescharacteristic
450C2×D8×C43C2311yescharacteristic
451C2×D8×C43C2311yescharacteristic
452C2×M16×C43C2311yescharacteristic
453C2×M16×C43C2311yescharacteristic
454C4⋊Q8×C43C2311yescharacteristic
455#127×C43C2311yescharacteristic
456#123×C43—21no—
457#123×C43—21no—
458C22⋊Q8×C43C2311yescharacteristic
459C22⋊Q8×C43C2311yescharacteristic
460#121×C43—21no—
461#121×C43—21no—
462#121×C43C2311yescharacteristic
463#121×C43C2311yescharacteristic
464#120×C43—21no—
465#120×C43—21no—
466C4×D4×C43C2311yescharacteristic
467C4×D4×C43C2311yescharacteristic
468C4×D4×C43C2311yescharacteristic
469C2×C4⋊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—21no—
496C2×D4×C43—21no—
497C2×D4×C43—22no—
498C2×D4×C43—22no—
499C2×D4×C43—41no—
500C2×D4×C43—41no—
501C2×D4×C43—82no—
502C2×D4×C43C2×D411yescharacteristic
503C2×D4×C43C2411yescharacteristic
504C2×D4×C43C2411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C2×D4×C43C2411yescharacteristic
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43—21no—
510C22×C4×C43—21no—
511C22×C4×C43C2411yescharacteristic
512C22×C4×C43C2411yescharacteristic
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×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43—21no—
528C22×Dic43—21no—
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43—21no—
532C22×Dic43—21no—
533C22×Dic43—82no—
534C22×Dic43C2×D411yescharacteristic
535C22×Dic43C2×D411yescharacteristic
536#10621900—22no—
537#10621900—22no—
538#10621900—41no—
539#10621900—41no—
540#10621900—82no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43C2411yescharacteristic
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86C2×D411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549SD16×C43—22no—
550SD16×C43—22no—
551SD16×C43—22no—
552SD16×C43—22no—
553SD16×C43—41no—
554SD16×C43—41no—
555D8×C43—22no—
556D8×C43—22no—
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×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43C2×D411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
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×C43C2×D411yescharacteristic
578C22⋊C4×C43C2×D411yescharacteristic
579C42×C43C2411yescharacteristic
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⋊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⋊Dic43C2×D411yescharacteristic
603C22⋊Dic43C2×D411yescharacteristic
604C22⋊Dic43C2×D411yescharacteristic
605C22⋊Dic43C2×D411yescharacteristic
606#10621885—41no—
607#10621885—41no—
608#10621883—22no—
609#10621883—22no—
610#10621883—41no—
611#10621883—41no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4C2×D411yescharacteristic
615(C2×D43)⋊C4C2×D411yescharacteristic
616(C2×D43)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43C2×D411yescharacteristic
627C4⋊Dic43C2×D411yescharacteristic
628C4⋊Dic43C2×D411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
630C4⋊Dic43C2411yescharacteristic
631C4⋊Dic43C2411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
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—42no—
718D4×C43—81no—
719D4×C43—81no—
720D4×C43—81no—
721D4×C43C2×#4112yes—
722D4×C43C2×#4112yes—
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—21no—
730C2×C4×C43—21no—
731C2×C4×C43—42no—
732C2×C4×C43—42no—
733C2×C4×C43—81no—
734C2×C4×C43—81no—
735C2×C4×C43C22×D411yescharacteristic
736C2×C4×C43C22×D411yescharacteristic
737C2×C4×C43C22×D411yescharacteristic
738C2×C4×C43C22×D411yescharacteristic
739C2×C4×C43C2511yescharacteristic
740C22⋊D43—41no—
741C22⋊D43—41no—
742C22⋊D43—42no—
743C22⋊D43—42no—
744C22⋊D43—81no—
745C22⋊D43—81no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—41no—
755C2×Dic43—41no—
756C2×Dic43—42no—
757C2×Dic43—42no—
758C2×Dic43—42no—
759C2×Dic43—42no—
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×Dic43—81no—
769C2×Dic43—81no—
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776C2×Dic43C22×D411yescharacteristic
777C4×D43—21no—
778C4×D43—21no—
779C4×D43—81no—
780C4×D43—81no—
781Dic86—21no—
782Dic86—21no—
783Dic86—21no—
784Dic86—21no—
785Dic86—41no—
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#61509—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#3515—431no—
847#3513—431no—
848#3400—431no—
849#3389—431no—
850#3372—431no—
851#3370—431no—
852#3352—431no—
853#3346—431no—
854#3343—431no—
855#3330—431no—
856#3323—431no—
857#3315—431no—
858#3314—431no—
859#3310—431no—
860#3307—431no—
861#3272D4311yescharacteristic, complemented
862#3267—431no—
863#3267—431no—
864#3178—431no—
865#3174—431no—
866#3172—431no—
867#3124—431no—
868#3123—431no—
869#3120—431no—
870#3119—431no—
871#3111—431no—
872#3110—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#559—431no—
891#557—431no—
892#554—431no—
893#554—431no—
894#554—431no—
895#553—431no—
896#553—861no—
897#553—861no—
898#552—431no—
899#552—431no—
900#552—431no—
901#552—861no—
902#552—861no—
903#552—861no—
904#551—861no—
905#551—861no—
906#547—431no—
907#547—431no—
908#547—431no—
909#547C2×D4311yescharacteristic
910#546—431no—
911#546—431no—
912#546—861no—
913D42C2×D4311yescharacteristic
914#542—431no—
915#541—431no—
916#541—431no—
917#540—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×#125—861no—
927#525—861no—
928C2×#123—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#499—431no—
938#497—431no—
939#497—431no—
940#492C2×D4311yescharacteristic
941#491—431no—
942#491—431no—
943#490—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#484—431no—
953#484—431no—
954#483—431no—
955#482—431no—
956#481—431no—
957#480—431no—
958#480—431no—
959#479—431no—
960#479—431no—
961#479—431no—
962#478—431no—
963#478—431no—
964#478—431no—
965#478—431no—
966#478—431no—
967#477—431no—
968#474—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#470—431no—
973#470—431no—
974#468—431no—
975#468—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#462—431no—
988#461—431no—
989#461—431no—
990#461—431no—
991#461—431no—
992#461C2×D4311yescharacteristic
993#460—431no—
994#459C2×D4311yescharacteristic
995#452—431no—
996#452—431no—
997#452—431no—
998#452—431no—
999#450—431no—
1000#450—431no—
1001#450C2×D4311yescharacteristic
1002#450C2×D4311yescharacteristic
1003#449—431no—
1004#449—431no—
1005#449C2×D4311yescharacteristic
1006#449C2×D4311yescharacteristic
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
1013#441—431no—
1014#440—431no—
1015#440—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#6150911yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—861no—
1062C2×#41C22×D4311yescharacteristic
1063C2×#41C22×D4311yescharacteristic
1064C22×D4—21no—
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×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16C22×D4311yescharacteristic
1079C2×SD16C22×D4311yescharacteristic
1080C2×SD16C22×D4311yescharacteristic
1081C2×SD16C22×D4311yescharacteristic
1082C2×SD16C22×D4311yescharacteristic
1083C2×SD16C22×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⋊Q8C22×D4311yescharacteristic
1098#127C22×D4311yescharacteristic
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#125—431no—
1112#125—431no—
1113#125—431no—
1114#125—431no—
1115#125—431no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125—861no—
1124#125—861no—
1125#125—861no—
1126#125—861no—
1127#125—861no—
1128#124—431no—
1129#124—431no—
1130#124—431no—
1131#124—861no—
1132#124—861no—
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—
1151#123—861no—
1152#123—861no—
1153#123—861no—
1154#123—861no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
1160C22⋊Q8—431no—
1161C22⋊Q8—431no—
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⋊Q8C22×D4311yescharacteristic
1174C22⋊Q8C22×D4311yescharacteristic
1175#121—21no—
1176#121—21no—
1177#121—431no—
1178#121—431no—
1179#121—431no—
1180#121—861no—
1181#121—861no—
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—21no—
1249C2×C4⋊C4—431no—
1250C2×C4⋊C4—431no—
1251C2×C4⋊C4—431no—
1252C2×C4⋊C4—431no—
1253C2×C4⋊C4—861no—
1254C2×C4⋊C4—861no—
1255C2×C4⋊C4—861no—
1256C2×C4⋊C4—861no—
1257C2×C4⋊C4—861no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4—861no—
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#107—431no—
1275#107—431no—
1276#107C22×D4311yescharacteristic
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×Q8C23×D4311yescharacteristic
1354C2×Q8C23×D4311yescharacteristic
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—82no—
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—862no—
1406Q16—1721no—
1407Q16—1721no—
1408SD16—22no—
1409SD16—22no—
1410SD16—22no—
1411SD16—22no—
1412SD16—41no—
1413SD16—41no—
1414SD16—862no—
1415SD16—862no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—22no—
1419D8—22no—
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—21no—
1438C4⋊C4—21no—
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—431no—
1453C4⋊C4—431no—
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⋊C4—861no—
1483C4⋊C4—861no—
1484C4⋊C4—861no—
1485C4⋊C4—861no—
1486C4⋊C4D4×D4311yescharacteristic
1487C4⋊C4C23×D4311yescharacteristic
1488C4⋊C4C23×D4311yescharacteristic
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—1721no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—42no—
1577D4—42no—
1578D4—42no—
1579D4—42no—
1580D4—42no—
1581D4—81no—
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#1914937111yescharacteristic
1710C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3272C2
socleC22×C43C23×D4
hypercenter#3272D43
hypocenterC43#61509
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3272

Complements

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

NH ≅ G/Ntype
1. #19148560C2semidirect
2. #19148520C2semidirect
3. #19147653C2semidirect
4. #19147551C2semidirect
5. #19147371C2semidirect
6. #19147341C2semidirect
7. #19147169C2semidirect
8. #19147075C2semidirect
9. #19147030C2semidirect
10. #19146893C2semidirect
11. #19146815C2semidirect
12. #19146691C2semidirect
13. #19146680C2semidirect
14. #19146616C2semidirect
15. #19146575C2semidirect
16. #19146114C2semidirect
17. #19146114C2semidirect
18. #19145256C2semidirect
19. #19145220C2semidirect
20. #19145194C2semidirect
21. #19144850C2semidirect
22. #19144841C2semidirect
23. #19144806C2semidirect
24. #19144791C2semidirect
25. #19144697C2semidirect
26. #19144689C2semidirect
27. #19143581C2semidirect
28. #19143465C2semidirect
29. #19143428C2semidirect
30. AGL(1,ℤ/8)×Dic43C2semidirect
31. C43×#3272C2semidirect
34. #14583624C22semidirect
36. #14583608C22semidirect
37. #14583607C22semidirect
46. #14583583C22semidirect
50. #14583548C22semidirect
51. #14583548C22semidirect
56. #14583510C22semidirect
57. #14583509C22semidirect
63. #14583451C22semidirect
70. #14583382C22semidirect
72. #14583378C22semidirect
74. #41×Dic43C22semidirect
76. #14583307C22semidirect
77. #14583307C22semidirect
78. #14583301C22semidirect
79. #14583290C22semidirect
80. #14583290C22semidirect
81. #14583267C22semidirect
82. #14583266C22semidirect
84. #14583257C22semidirect
85. #14583252C22semidirect
86. #14583248C22semidirect
87. #14583241C22semidirect
88. #14583241C22semidirect
89. #14583237C22semidirect
90. #14583235C22semidirect
91. #14583235C22semidirect
92. #14583233C22semidirect
93. #14583232C22semidirect
94. #14583228C22semidirect
96. #14583216C22semidirect
97. #14583211C22semidirect
99. #14583207C22semidirect
100. #14583207C22semidirect
101. #14583204C22semidirect
102. #14583201C22semidirect
104. #14583199C22semidirect
106. #14583197C22semidirect
107. #14583192C22semidirect
109. #14583177C22semidirect
110. #14583177C22semidirect
111. #14583157C22semidirect
112. #14583157C22semidirect
113. #14583155C22semidirect
115. #14583142C22semidirect
116. #14583142C22semidirect
117. #14583138C22semidirect
119. #14583125C22semidirect
120. #14583125C22semidirect
121. #14583119C22semidirect
122. #14583119C22semidirect
123. #14583112C22semidirect
124. #14583112C22semidirect
125. #14583106C22semidirect
128. #14583102C22semidirect
129. #14583102C22semidirect
131. #14583061C22semidirect
132. #14583061C22semidirect
137. #14583041C22semidirect
138. #14583041C22semidirect
139. #14583029C22semidirect
140. #14583028C22semidirect
143. #14583011C22semidirect
144. #14583011C22semidirect
145. #14583003C22semidirect
148. #14583000C22semidirect
149. #14583000C22semidirect
150. #14583000C22semidirect
151. #14583000C22semidirect
153. #14582999C22semidirect
155. #14582996C22semidirect
156. #14582996C22semidirect
157. C4×Dic172C22semidirect
158. #14582993C22semidirect
159. #14582991C22semidirect
160. #14582990C22semidirect
163. SD16×Dic43C22semidirect
164. SD16×Dic43C22semidirect
166. D8×Dic43C22semidirect
167. D8×Dic43C22semidirect
168. #14582974C22semidirect
170. #14582968C22semidirect
171. #14582968C22semidirect
172. #14582967C22semidirect
173. #14582959C22semidirect
174. #14582957C22semidirect
175. #14582953C22semidirect
176. #14582941C22semidirect
177. #14582941C22semidirect
178. #107×D43C22semidirect
180. #14582900C22semidirect
182. #14582897C22semidirect
183. #14582895C22semidirect
185. #14582857C22semidirect
186. #14582853C22semidirect
187. M16×Dic43C22semidirect
557. D8×C43#41semidirect
861. #3272D43semidirect
1058. C43#61509semidirect
1420. D8#10621900semidirect

Maximal subgroups

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

subgroupindex
#191485602
#191485202
#191476532
#191475512
#191473712
#191473412
#191471692
#191470752
#191470302
#191468932
#191468152
#191466912
#191466802
#191466162
#191465752
#191461142
#191452562
#191452202
#191451942
#191448502
#191448412
#191448062
#191447912
#191446972
#191446892
#191435812
#191434652
#191434282
AGL(1,ℤ/8)×Dic432
C43×#32722
#6150943