Finite Group Databasebeta

← #25971472

Subgroups — #25971472

Order 11008.

1672 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148487C211yesmaximal, characteristic
2#19148477C211yesmaximal, characteristic, complemented
3#19146023C211yesmaximal, characteristic, complemented
4#19146021C211yesmaximal, characteristic, complemented
5#19146015C211yesmaximal, characteristic, complemented
6#19145840C211yesmaximal, characteristic, complemented
7#19145834C211yesmaximal, characteristic, complemented
8#19145808C211yesmaximal, characteristic, complemented
9#19145807C211yesmaximal, characteristic, complemented
10#19145626C211yesmaximal, characteristic, complemented
11#19145621C211yesmaximal, characteristic, complemented
12#19145596C211yesmaximal, characteristic, complemented
13#19145596C211yesmaximal, characteristic, complemented
14#19145487C211yesmaximal, characteristic, complemented
15#19145485C211yesmaximal, characteristic, complemented
16#19145463C211yesmaximal, characteristic
17#19145461C211yesmaximal, characteristic
18#19145299C211yesmaximal, characteristic, complemented
19#19145297C211yesmaximal, characteristic, complemented
20#19145196C211yesmaximal, characteristic, complemented
21#19145194C211yesmaximal, characteristic, complemented
22#19144897C211yesmaximal, characteristic, complemented
23#19144893C211yesmaximal, characteristic, complemented
24#19144849C211yesmaximal, characteristic, complemented
25#19144845C211yesmaximal, characteristic, complemented
26#19144831C211yesmaximal, characteristic, complemented
27#19144829C211yesmaximal, characteristic, complemented
28#19144823C211yesmaximal, characteristic, complemented
29#19144821C211yesmaximal, characteristic, complemented
30#19143245C211yesmaximal, characteristic, complemented
31C43×#3258C211yesmaximal, characteristic, complemented
32#14583633—21no—
33#14583631—21no—
34#14583626—21no—
35#14583626—21no—
36#14583620—21no—
37#14583616—21no—
38#14583616—21no—
39#14583616—21no—
40#14583585—21no—
41#14583585—21no—
42#14583581—21no—
43#14583581—21no—
44#14583579—21no—
45#14583576—21no—
46#14583574—21no—
47#14583572—21no—
48#14583523C2211yescharacteristic
49#14583520C2211yescharacteristic
50#14583518C2211yescharacteristic
51#14583512C2211yescharacteristic
52#14583511C2211yescharacteristic, complemented
53#14583510C2211yescharacteristic
54#14583472C2211yescharacteristic
55#14583472C2211yescharacteristic
56#14583472C2211yescharacteristic
57#14583465C2211yescharacteristic
58#14583455C2211yescharacteristic, complemented
59#14583454C2211yescharacteristic
60#14583453C2211yescharacteristic
61#14583453C2211yescharacteristic
62#14583451C2211yescharacteristic, complemented
63#14583451C2211yescharacteristic, complemented
64C4⋊Q8×D43C2211yescharacteristic, complemented
65#14583436C2211yescharacteristic
66#14583435C2211yescharacteristic
67#14583431C2211yescharacteristic
68#14583430C2211yescharacteristic
69#124×D43C2211yescharacteristic
70#14583375C2211yescharacteristic
71#14583375C2211yescharacteristic, complemented
72#14583375C2211yescharacteristic, complemented
73#14583371C2211yescharacteristic
74#14583367C2211yescharacteristic
75#14583307C2211yescharacteristic, complemented
76#14583307C2211yescharacteristic, complemented
77#14583306C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583292C2211yescharacteristic
80#14583292C2211yescharacteristic
81#14583290C2211yescharacteristic
82#14583290C2211yescharacteristic
83#14583266C2211yescharacteristic, complemented
84#14583266C2211yescharacteristic, complemented
85#14583266C2211yescharacteristic, complemented
86#14583266C2211yescharacteristic, complemented
87#14583260C2211yescharacteristic
88#14583260C2211yescharacteristic
89#14583257C2211yescharacteristic
90#14583257C2211yescharacteristic
91#14583243C2211yescharacteristic
92#14583243C2211yescharacteristic
93#14583243C2211yescharacteristic, complemented
94#14583242C2211yescharacteristic
95#14583242C2211yescharacteristic
96#14583242C2211yescharacteristic, complemented
97#14583239C2211yescharacteristic
98#14583239C2211yescharacteristic
99#14583239C2211yescharacteristic, complemented
100#14583238C2211yescharacteristic
101#14583238C2211yescharacteristic
102#14583238C2211yescharacteristic, complemented
103#14583226C2211yescharacteristic
104#14583225C2211yescharacteristic
105#14583222C2211yescharacteristic
106#14583221C2211yescharacteristic
107#14583207C2211yescharacteristic, complemented
108#14583206C2211yescharacteristic, complemented
109#14583203C2211yescharacteristic, complemented
110#14583200C2211yescharacteristic
111#14583199C2211yescharacteristic
112#14583196C2211yescharacteristic
113#14583195C2211yescharacteristic, complemented
114#14583194C2211yescharacteristic, complemented
115#14583191C2211yescharacteristic, complemented
116#14583185C2211yescharacteristic, complemented
117#14583184C2211yescharacteristic, complemented
118#14583181C2211yescharacteristic, complemented
119#14583157C2211yescharacteristic, complemented
120#14583155C2211yescharacteristic, complemented
121#14583155C2211yescharacteristic, complemented
122#14583147C2211yescharacteristic
123#14583145C2211yescharacteristic
124#14583143C2211yescharacteristic
125#14583140C2211yescharacteristic, complemented
126#14583138C2211yescharacteristic, complemented
127#14583138C2211yescharacteristic, complemented
128#14583130C2211yescharacteristic
129#14583128C2211yescharacteristic
130#14583126C2211yescharacteristic
131#14583122C2211yescharacteristic
132#14583122C2211yescharacteristic
133#14583121C2211yescharacteristic
134#14583121C2211yescharacteristic
135#14583118C2211yescharacteristic
136#14583118C2211yescharacteristic
137#14583110C2211yescharacteristic, complemented
138#14583109C2211yescharacteristic, complemented
139#14583106C2211yescharacteristic, complemented
140#14583105C2211yescharacteristic
141#14583104C2211yescharacteristic
142#14583101C2211yescharacteristic
143#14583056C2211yescharacteristic
144#14583056C2211yescharacteristic
145#14583056C2211yescharacteristic, complemented
146#14583056C2211yescharacteristic, complemented
147#14583053C2211yescharacteristic
148#14583053C2211yescharacteristic
149#14583053C2211yescharacteristic, complemented
150#14583053C2211yescharacteristic, complemented
151#14583051C2211yescharacteristic
152#14583051C2211yescharacteristic
153#14583048C2211yescharacteristic
154#14583048C2211yescharacteristic
155#14583039C2211yescharacteristic
156#14583039C2211yescharacteristic
157#14583036C2211yescharacteristic
158#14583036C2211yescharacteristic
159#14583006C2211yescharacteristic, complemented
160#14583005C2211yescharacteristic, complemented
161#14583003C2211yescharacteristic, complemented
162#14583003C2211yescharacteristic, complemented
163#14583002C2211yescharacteristic
164#14583000C2211yescharacteristic
165#14582998C2211yescharacteristic
166#14582996C2211yescharacteristic
167Q16×Dic43C2211yescharacteristic, complemented
168#14582993C2211yescharacteristic, complemented
169#14582991C2211yescharacteristic, complemented
170#14582991C2211yescharacteristic, complemented
171#14582990C2211yescharacteristic
172SD16×Dic43C2211yescharacteristic
173#14582986C2211yescharacteristic
174#14582984C2211yescharacteristic
175#14582959C2211yescharacteristic
176#14582959C2211yescharacteristic
177#14582959C2211yescharacteristic, complemented
178#14582959C2211yescharacteristic, complemented
179#14582955C2211yescharacteristic
180#14582955C2211yescharacteristic
181#14582955C2211yescharacteristic, complemented
182#14582955C2211yescharacteristic, complemented
183#14582926C2211yescharacteristic, complemented
184#14582867C2211yescharacteristic
185#14582865C2211yescharacteristic
186M16×Dic43C2211yescharacteristic, complemented
187C2×#13063235C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic
189C43×#541C2211yescharacteristic, complemented
190C43×#479C2211yescharacteristic, complemented
191C43×#478C2211yescharacteristic
192C43×#477C2211yescharacteristic, complemented
193C43×#475C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic
196C43×#467C2211yescharacteristic, complemented
197C43×#465C2211yescharacteristic
198C43×#464C2211yescharacteristic
199C43×#464C2211yescharacteristic
200C43×#462C2211yescharacteristic, complemented
201C43×#461C2211yescharacteristic
202C43×#424C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C2×Q8×D43C2311yescharacteristic
205C2×Q8×D43C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207C2×D4×D43C2311yescharacteristic
208C2×Dic172C2311yescharacteristic
209C2×Dic172C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621877C2311yescharacteristic
221C22×C43⋊C8C2311yescharacteristic
222#13063325C2311yescharacteristic
223#13063325C2311yescharacteristic
224#13063324—21no—
225#13063324—21no—
226#13063324—21no—
227#13063324—21no—
228#13063324—21no—
229#13063324C2311yescharacteristic
230#13063324C2311yescharacteristic
231#13063323C2311yescharacteristic
232#13063323C2311yescharacteristic
233#13063321—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063317C2311yescharacteristic
248#13063316—21no—
249#13063316—21no—
250#13063316C2311yescharacteristic
251#13063316C2311yescharacteristic
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063314—21no—
261#13063314C2311yescharacteristic
262#13063313C2311yescharacteristic
263#13063312C2311yescharacteristic
264#13063311—21no—
265#13063311—21no—
266#13063311—21no—
267#13063311—21no—
268#13063311—21no—
269#13063311—21no—
270#13063311—21no—
271#13063311—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310—21no—
277#13063309—21no—
278#13063309—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063306—21no—
285#13063305—21no—
286#13063305C2311yescharacteristic
287#13063305C2311yescharacteristic
288#13063305C2311yescharacteristic
289#13063304C2311yescharacteristic
290#13063304C2311yescharacteristic
291#13063304C2311yescharacteristic
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063301—21no—
301#13063301—21no—
302#13063301C2311yescharacteristic
303#13063301C2311yescharacteristic
304#13063301C2311yescharacteristic
305#13063300C2311yescharacteristic
306#13063299C2311yescharacteristic
307#13063296C2311yescharacteristic
308#13063295—21no—
309#13063293—21no—
310Q8×Dic43—21no—
311Q8×Dic43C2311yescharacteristic
312Q8×Dic43C2311yescharacteristic
313Q8×Dic43C2311yescharacteristic
314C4×Dic86—21no—
315C4×Dic86—21no—
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86—21no—
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322#13063290—21no—
323#13063290—21no—
324#13063290—21no—
325#13063290—21no—
326#13063290—21no—
327#13063290—21no—
328#13063290—21no—
329#13063290—21no—
330#13063290D411yescharacteristic
331#13063290D411yescharacteristic
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334#13063290C2311yescharacteristic
335C4×D172—21no—
336C4×D172C2311yescharacteristic
337D4×Dic43—21no—
338D4×Dic43C2311yescharacteristic
339#13063287D411yescharacteristic
340#13063287D411yescharacteristic
341#13063287C2311yescharacteristic
342C4×C22⋊D43—21no—
343C4×C22⋊D43—21no—
344(C22⋊D43)⋊C4—21no—
345(C22⋊D43)⋊C4—21no—
346(C22⋊D43)⋊C4D411yescharacteristic
347(C22⋊D43)⋊C4D411yescharacteristic
348(C22⋊D43)⋊C4D411yescharacteristic
349(C22⋊D43)⋊C4D411yescharacteristic
350#13063284—21no—
351#13063283—21no—
352#13063283—21no—
353#13063283—21no—
354#13063283—21no—
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063282—21no—
360#13063282—21no—
361#13063282—21no—
362#13063282—21no—
363#13063282—21no—
364#13063282—21no—
365#13063282C2311yescharacteristic
366#13063282C2311yescharacteristic
367#13063281—21no—
368#13063281—21no—
369#13063281—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43—21no—
372C2×(C2×D43)⋊C4—21no—
373C22⋊C4×D43—21no—
374C22⋊C4×D43—21no—
375C22⋊C4×D43—21no—
376C2×C4×Dic43C2311yescharacteristic
377C42×D43C2311yescharacteristic
378C42×D43C2311yescharacteristic
379#13063259C2311yescharacteristic
380#13063259C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391C4⋊(C43⋊C8)C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395#13063250C2311yescharacteristic
396#13063250C2311yescharacteristic
397#13063250C2311yescharacteristic
398#13063250C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419(C2×D43)⋊C8C2311yescharacteristic
420(C2×D43)⋊C8C2311yescharacteristic
421(C2×D43)⋊C8C2311yescharacteristic
422(C2×D43)⋊C8C2311yescharacteristic
423(C2×D43)⋊C8C2311yescharacteristic
424(C2×D43)⋊C8C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427#13063235C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×Q16×C43C2311yescharacteristic
436C2×Q16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443#126×C43—21no—
444#126×C43—21no—
445#126×C43—21no—
446#125×C43—21no—
447#125×C43—21no—
448#125×C43C2311yescharacteristic
449#124×C43—21no—
450#124×C43C2311yescharacteristic
451#123×C43—21no—
452C22⋊Q8×C43—21no—
453C22⋊Q8×C43C2311yescharacteristic
454C22⋊Q8×C43C2311yescharacteristic
455C22⋊Q8×C43C2311yescharacteristic
456#121×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×Q8×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461#117×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469C4⋊C8×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C23×D43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43C2411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43C2411yescharacteristic
485C22×C4×C43—21no—
486C22×C4×C43C2411yescharacteristic
487C2×C22⋊D43—21no—
488C2×C22⋊D43—21no—
489C2×C22⋊D43—21no—
490C2×C22⋊D43C2×D411yescharacteristic
491C2×C22⋊D43C2×D411yescharacteristic
492C22×Dic43—21no—
493C22×Dic43C2×D411yescharacteristic
494C22×Dic43C2×D411yescharacteristic
495Q8×D43—41no—
496Q8×D43—41no—
497Q8×D43—41no—
498Q8×D43—41no—
499Q8×D43—41no—
500Q8×D43—41no—
501D4×D43—41no—
502D4×D43—41no—
503#10621898—41no—
504#10621898—41no—
505C2×D172—21no—
506C2×D172C2×D411yescharacteristic
507C2×D172C2411yescharacteristic
508C2×C4×D43—21no—
509C2×C4×D43—21no—
510C2×C4×D43—21no—
511C2×C4×D43—21no—
512C2×C4×D43—21no—
513C2×C4×D43C2×D411yescharacteristic
514C2×C4×D43C2×D411yescharacteristic
515C2×C4×D43C2×D411yescharacteristic
516C2×C4×D43C2×D411yescharacteristic
517C2×C4×D43C2411yescharacteristic
518C2×C4×D43C2411yescharacteristic
519C2×Dic86—21no—
520C2×Dic86—21no—
521C2×Dic86—21no—
522C2×Dic86—21no—
523C2×Dic86—21no—
524C2×Dic86—21no—
525C2×Dic86C2×D411yescharacteristic
526C2×Dic86C2411yescharacteristic
527C2×Dic86C2411yescharacteristic
528C2×Dic86C2411yescharacteristic
529Q16×C43—41no—
530Q16×C43—41no—
531SD16×C43—41no—
532SD16×C43—41no—
533M16×C43—41no—
534C2×C8×C43—41no—
535C2×C8×C43C2411yescharacteristic
536C2×C8×C43C2411yescharacteristic
537C2×C8×C43C2411yescharacteristic
538C2×C8×C43C2411yescharacteristic
539C4⋊C4×C43—21no—
540C4⋊C4×C43—21no—
541C4⋊C4×C43—21no—
542C4⋊C4×C43—21no—
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43C2×D411yescharacteristic
551C4⋊C4×C43C2×D411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C22⋊C4×C43—21no—
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43C2×D411yescharacteristic
564C22⋊C4×C43C2×D411yescharacteristic
565C42×C43—21no—
566C42×C43—21no—
567C42×C43—21no—
568C42×C43C2411yescharacteristic
569C42×C43C2411yescharacteristic
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577#10621885—41no—
578#10621885—41no—
579#10621885—41no—
580#10621885—41no—
581#10621884—41no—
582#10621884—41no—
583#10621883—41no—
584#10621883—41no—
585(C2×D43)⋊C4—21no—
586(C2×D43)⋊C4—21no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
604(C2×D43)⋊C4C2×D411yescharacteristic
605(C2×D43)⋊C4C2×D411yescharacteristic
606(C2×D43)⋊C4C2×D411yescharacteristic
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43C2411yescharacteristic
619C4⋊Dic43C2411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43C2×D411yescharacteristic
662C4×Dic43C2×D411yescharacteristic
663C4×Dic43C2×D411yescharacteristic
664C4×Dic43C2×D411yescharacteristic
665C4×Dic43C2×D411yescharacteristic
666C4×Dic43C2×D411yescharacteristic
667C4×Dic43C2411yescharacteristic
668C4×Dic43C2411yescharacteristic
669#10621877—41no—
670C2×C43⋊C8—41no—
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673C2×C43⋊C8C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675Dic172—41no—
676Dic172—41no—
677#10621873—41no—
678#10621873—41no—
679C23×C43—21no—
680C23×C43C22×D411yescharacteristic
681C22×D43—21no—
682C22×D43—42no—
683C22×D43—81no—
684C22×D43—81no—
685C22×D43C22×D411yescharacteristic
686C22×D43C22×D411yescharacteristic
687Q8×C43—21no—
688Q8×C43—21no—
689Q8×C43—21no—
690Q8×C43—21no—
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—81no—
694D4×C43—21no—
695D4×C43—21no—
696D4×C43—81no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—81no—
707C2×C4×C43C22×D411yescharacteristic
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C2511yescharacteristic
713C22⋊D43—41no—
714C22⋊D43—41no—
715C22⋊D43—42no—
716C22⋊D43—81no—
717C22⋊D43—81no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—41no—
726C2×Dic43—41no—
727C2×Dic43—81no—
728C2×Dic43C22×D411yescharacteristic
729C2×Dic43C22×D411yescharacteristic
730C2×Dic43C22×D411yescharacteristic
731C2×Dic43C22×D411yescharacteristic
732C2×Dic43C22×D411yescharacteristic
733C2×Dic43C22×D411yescharacteristic
734D172—21no—
735D172—21no—
736D172—41no—
737D172—81no—
738C4×D43—21no—
739C4×D43—21no—
740C4×D43—21no—
741C4×D43—21no—
742C4×D43—41no—
743C4×D43—41no—
744C4×D43—41no—
745C4×D43—41no—
746C4×D43—42no—
747C4×D43—42no—
748C4×D43—42no—
749C4×D43—81no—
750C4×D43—81no—
751Dic86—21no—
752Dic86—21no—
753Dic86—21no—
754Dic86—21no—
755Dic86—21no—
756Dic86—21no—
757Dic86—41no—
758Dic86—42no—
759Dic86—42no—
760Dic86—42no—
761Dic86—42no—
762Dic86—42no—
763Dic86—81no—
764C8×C43—21no—
765C8×C43—21no—
766C8×C43—21no—
767C8×C43—21no—
768C43⋊C8—21no—
769C43⋊C8—21no—
770C43⋊C8—21no—
771C43⋊C8—21no—
772#61018—431nomaximal, Sylow
773C22×C43—21no—
774C22×C43—21no—
775C22×C43—21no—
776C22×C43—41no—
777C22×C43—41no—
778C22×C43—41no—
779C22×C43C23×D411yescharacteristic
780C2×D43—21no—
781C2×D43—21no—
782C2×D43—21no—
783C2×D43—21no—
784C2×D43—21no—
785C2×D43—21no—
786C2×D43—41no—
787C2×D43—41no—
788C2×D43—41no—
789C2×D43—162no—
790C4×C43—21no—
791C4×C43—21no—
792C4×C43—21no—
793C4×C43—21no—
794C4×C43—21no—
795C4×C43—41no—
796C4×C43—41no—
797C4×C43—41no—
798C4×C43—41no—
799C4×C43—41no—
800C4×C43—41no—
801C4×C43—41no—
802C4×C43#58511yescharacteristic
803C4×C43#58511yescharacteristic
804Dic43—21no—
805Dic43—21no—
806Dic43—21no—
807Dic43—21no—
808Dic43—21no—
809Dic43—21no—
810Dic43—41no—
811Dic43—41no—
812Dic43—41no—
813Dic43—41no—
814Dic43—41no—
815Dic43—41no—
816Dic43—41no—
817#3510—431no—
818#3509—431no—
819#3258—431no—
820#3258—431no—
821#3258—431no—
822#3258D4311yescharacteristic, complemented
823#3240—431no—
824#3240—431no—
825#3237—431no—
826#3237—431no—
827#3218—431no—
828#3218—431no—
829#3215—431no—
830#3215—431no—
831#3202—431no—
832#3202—431no—
833#3200—431no—
834#3200—431no—
835#3181—431no—
836#3181—431no—
837#3172—431no—
838#3172—431no—
839#3127—431no—
840#3127—431no—
841#3123—431no—
842#3123—431no—
843#3121—431no—
844#3121—431no—
845#3121—431no—
846#3121—431no—
847#2923—431no—
848C2×C43—41no—
849C2×C43—81no—
850C2×C43#344911yescharacteristic
851C2×C43#358611yescharacteristic
852C2×C43#358611yescharacteristic
853D43—41no—
854D43—41no—
855D43—81no—
856#559—861no—
857#559—861no—
858#557—861no—
859#557—861no—
860#556—861no—
861#556—861no—
862#556—861no—
863#556—861no—
864#552—861no—
865#552—861no—
866#552—861no—
867#552—861no—
868#551—861no—
869#551—861no—
870#551—861no—
871#551—861no—
872#542—431no—
873#542—431no—
874#542—431no—
875#542C2×D4311yescharacteristic
876#541—431no—
877#541—431no—
878#541—431no—
879#541C2×D4311yescharacteristic, complemented
880#536—431no—
881#536—431no—
882#536—431no—
883#535—431no—
884#533—431no—
885#533—431no—
886#533—431no—
887#533—431no—
888#533—431no—
889#533—431no—
890C2×C4⋊Q8—431no—
891#529—431no—
892#529—431no—
893#529—431no—
894#529—431no—
895C2×#124—431no—
896#519—431no—
897#519—431no—
898#519—431no—
899#518—431no—
900C4×#41—431no—
901#501—431no—
902#501—431no—
903#501—431no—
904#501—431no—
905#497—431no—
906#497—431no—
907#497—431no—
908#497—431no—
909#491—431no—
910#491—431no—
911#491—431no—
912#491—431no—
913#489—431no—
914#489—431no—
915#489—431no—
916#489—431no—
917#485—431no—
918#485—431no—
919#485—431no—
920#485—431no—
921#485—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485—431no—
926#485—431no—
927#485—431no—
928#485—431no—
929#482—431no—
930#482—431no—
931#482—431no—
932#482—431no—
933#479—431no—
934#479—431no—
935#479—431no—
936#479C2×D4311yescharacteristic, complemented
937#478—431no—
938#478—431no—
939#478—431no—
940#478C2×D4311yescharacteristic
941#477—431no—
942#477—431no—
943#477—431no—
944#477C2×D4311yescharacteristic, complemented
945#475—431no—
946#475—431no—
947#475—431no—
948#475C2×D4311yescharacteristic, complemented
949#470—431no—
950#470—431no—
951#470—431no—
952#470C2×D4311yescharacteristic, complemented
953#468—431no—
954#468—431no—
955#468—431no—
956#468C2×D4311yescharacteristic
957#467—431no—
958#467—431no—
959#467—431no—
960#467C2×D4311yescharacteristic, complemented
961#465—431no—
962#465—431no—
963#465—431no—
964#465C2×D4311yescharacteristic
965#464—431no—
966#464—431no—
967#464—431no—
968#464—431no—
969#464—431no—
970#464—431no—
971#464C2×D4311yescharacteristic
972#464C2×D4311yescharacteristic
973#462—431no—
974#462—431no—
975#462—431no—
976#462C2×D4311yescharacteristic, complemented
977#461—431no—
978#461—431no—
979#461—431no—
980#461C2×D4311yescharacteristic
981#451—431no—
982#451—431no—
983#451—431no—
984#451—431no—
985#451—431no—
986#451—431no—
987#451—431no—
988#451—431no—
989#450—431no—
990#450—431no—
991#450—431no—
992#450—431no—
993#448—431no—
994#448—431no—
995#448—431no—
996#448—431no—
997#441—431no—
998#441—431no—
999#441—431no—
1000#441—431no—
1001#440—431no—
1002#440—431no—
1003#440—431no—
1004#440—431no—
1005C4×Q16—431no—
1006C4×Q16—431no—
1007C4×Q16—431no—
1008C4×Q16—431no—
1009C4×SD16—431no—
1010C4×SD16—431no—
1011C4×SD16—431no—
1012C4×SD16—431no—
1013#433—431no—
1014#433—431no—
1015#433—431no—
1016#433—431no—
1017#432—431no—
1018#432—431no—
1019#432—431no—
1020#432—431no—
1021#424—431no—
1022#424C2×D4311yescharacteristic, complemented
1023#408—431no—
1024#408—431no—
1025C4×M16—431no—
1026C2×#97—431no—
1027C43#6101811yescharacteristic, complemented, Sylow
1028C2×#41—431no—
1029C22×Q8—431no—
1030C22×Q8—431no—
1031C22×Q8—431no—
1032C22×D4—431no—
1033C2×Q16—431no—
1034C2×Q16—431no—
1035C2×Q16—431no—
1036C2×Q16—431no—
1037C2×Q16—431no—
1038C2×Q16—431no—
1039C2×Q16C22×D4311yescharacteristic
1040C2×Q16C22×D4311yescharacteristic
1041C2×SD16—431no—
1042C2×SD16—431no—
1043C2×SD16—431no—
1044C2×SD16—431no—
1045C2×SD16—431no—
1046C2×SD16—431no—
1047C2×SD16C22×D4311yescharacteristic
1048C2×SD16C22×D4311yescharacteristic
1049C2×M16—431no—
1050C2×M16C22×D4311yescharacteristic
1051C22×C8—431no—
1052C22×C8C22×D4311yescharacteristic
1053C4⋊Q8—431no—
1054C4⋊Q8—431no—
1055C4⋊Q8—431no—
1056C4⋊Q8—431no—
1057C4⋊Q8—431no—
1058C4⋊Q8—431no—
1059C4⋊Q8—861no—
1060C4⋊Q8—861no—
1061C4⋊Q8—861no—
1062C4⋊Q8—861no—
1063C4⋊Q8—861no—
1064C4⋊Q8C22×D4311yescharacteristic
1065C4⋊Q8C22×D4311yescharacteristic
1066#127—861no—
1067#126—21no—
1068#126—21no—
1069#126—21no—
1070#126—861no—
1071#126—861no—
1072#126—861no—
1073#126—861no—
1074#126—861no—
1075#126—861no—
1076#126—861no—
1077#126—861no—
1078#126—861no—
1079#126—861no—
1080#126—861no—
1081#126—861no—
1082#126—861no—
1083#125—21no—
1084#125—21no—
1085#125—431no—
1086#125—431no—
1087#125—431no—
1088#125—861no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125—861no—
1093#125—861no—
1094#125—861no—
1095#125—861no—
1096#125—861no—
1097#125—861no—
1098#125C22×D4311yescharacteristic
1099#124—21no—
1100#124—431no—
1101#124—431no—
1102#124—431no—
1103#124—861no—
1104#124—861no—
1105#124—861no—
1106#124—861no—
1107#124—861no—
1108#124—861no—
1109#124—861no—
1110#124—861no—
1111#124—861no—
1112#124C22×D4311yescharacteristic
1113#123—21no—
1114#123—861no—
1115#123—861no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127C22⋊Q8—21no—
1128C22⋊Q8—431no—
1129C22⋊Q8—431no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—431no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8C22×D4311yescharacteristic
1149C22⋊Q8C22×D4311yescharacteristic
1150C22⋊Q8C22×D4311yescharacteristic
1151#121—431no—
1152#121—431no—
1153#121—431no—
1154#121C22×D4311yescharacteristic
1155#120—861no—
1156#120—861no—
1157C4×Q8—431no—
1158C4×Q8—431no—
1159C4×Q8—431no—
1160C4×Q8—431no—
1161C4×Q8—431no—
1162C4×Q8—431no—
1163C4×Q8—431no—
1164C4×Q8—431no—
1165C4×Q8—431no—
1166C4×Q8—431no—
1167C4×Q8—431no—
1168C4×Q8—861no—
1169C4×Q8—861no—
1170C4×Q8—861no—
1171C4×Q8—861no—
1172C4×Q8—861no—
1173C4×Q8—861no—
1174C4×Q8—861no—
1175C4×Q8—861no—
1176C4×Q8—861no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8C22×D4311yescharacteristic
1183C4×Q8C22×D4311yescharacteristic
1184C4×Q8C22×D4311yescharacteristic
1185C4×D4—431no—
1186C4×D4—431no—
1187C4×D4—431no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—431no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4C22×D4311yescharacteristic
1201#117—431no—
1202#117—431no—
1203#117—431no—
1204#117—431no—
1205#117—431no—
1206#117—431no—
1207#117—861no—
1208#117—861no—
1209#117—861no—
1210#117—861no—
1211#117—861no—
1212#117—861no—
1213#117—861no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220#117—861no—
1221#117C22×D4311yescharacteristic
1222C2×C4⋊C4—861no—
1223C2×C4⋊C4—861no—
1224C2×C22⋊C4—861no—
1225C2×C22⋊C4—861no—
1226C2×C22⋊C4—861no—
1227C2×C22⋊C4—861no—
1228C2×C42—431no—
1229C2×C42—431no—
1230C2×C42—431no—
1231#107—431no—
1232#107—431no—
1233#107—431no—
1234#107—431no—
1235#107—431no—
1236#107—431no—
1237#107C22×D4311yescharacteristic
1238#107C22×D4311yescharacteristic
1239#106—431no—
1240#106—431no—
1241#106—431no—
1242#106—431no—
1243#106—431no—
1244#106—431no—
1245#106C22×D4311yescharacteristic
1246#106C22×D4311yescharacteristic
1247C4⋊C8—431no—
1248C4⋊C8—431no—
1249C4⋊C8—431no—
1250C4⋊C8—431no—
1251C4⋊C8C22×D4311yescharacteristic
1252C4⋊C8C22×D4311yescharacteristic
1253C4⋊C8C22×D4311yescharacteristic
1254C4⋊C8C22×D4311yescharacteristic
1255#103—431no—
1256#103—431no—
1257#103—431no—
1258#103—431no—
1259#103—431no—
1260#103—431no—
1261#103—431no—
1262#103—431no—
1263#103—431no—
1264#103—431no—
1265#103—431no—
1266#103—431no—
1267#103—431no—
1268#103—431no—
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103C22×D4311yescharacteristic
1274#103C22×D4311yescharacteristic
1275#103C22×D4311yescharacteristic
1276#103C22×D4311yescharacteristic
1277#103C22×D4311yescharacteristic
1278#103C22×D4311yescharacteristic
1279#102—431no—
1280#102—431no—
1281#102—431no—
1282#102—431no—
1283#102—431no—
1284#102—431no—
1285#102C22×D4311yescharacteristic
1286#102C22×D4311yescharacteristic
1287C22⋊C8—431no—
1288C22⋊C8—431no—
1289C22⋊C8—431no—
1290C22⋊C8—431no—
1291C22⋊C8—431no—
1292C22⋊C8—431no—
1293C22⋊C8—431no—
1294C22⋊C8—431no—
1295#97—431no—
1296#97—431no—
1297#97—431no—
1298#97—431no—
1299#97—431no—
1300#97—431no—
1301C4×C8—431no—
1302C4×C8—431no—
1303C24—861no—
1304#41—1721no—
1305#41—1721no—
1306C2×Q8—21no—
1307C2×Q8—431no—
1308C2×Q8—431no—
1309C2×Q8—431no—
1310C2×Q8—431no—
1311C2×Q8—861no—
1312C2×Q8—861no—
1313C2×Q8—861no—
1314C2×Q8—861no—
1315C2×Q8—861no—
1316C2×Q8—861no—
1317C2×Q8—1721no—
1318C2×Q8—1721no—
1319C2×Q8—1721no—
1320C2×Q8—1721no—
1321C2×Q8—1721no—
1322C2×Q8—1721no—
1323C2×Q8C23×D4311yescharacteristic
1324C2×Q8C23×D4311yescharacteristic
1325C2×Q8C23×D4311yescharacteristic
1326C2×D4—21no—
1327C2×D4—431no—
1328C2×D4—431no—
1329C2×D4—431no—
1330C2×D4—431no—
1331C2×D4—861no—
1332C2×D4—861no—
1333C2×D4—861no—
1334C2×D4—861no—
1335C2×D4—1721no—
1336C2×D4—1721no—
1337C2×D4C23×D4311yescharacteristic
1338C22×C4—21no—
1339C22×C4—431no—
1340C22×C4—431no—
1341C22×C4—431no—
1342C22×C4—431no—
1343C22×C4—431no—
1344C22×C4—431no—
1345C22×C4—431no—
1346C22×C4—431no—
1347C22×C4—861no—
1348C22×C4—861no—
1349C22×C4—861no—
1350C22×C4—861no—
1351C22×C4—861no—
1352C22×C4—861no—
1353C22×C4C23×D4311yescharacteristic
1354Q16—41no—
1355Q16—41no—
1356Q16—1721no—
1357Q16—1721no—
1358Q16—1721no—
1359Q16—1721no—
1360Q16—1721no—
1361Q16—1721no—
1362SD16—41no—
1363SD16—41no—
1364SD16—1721no—
1365SD16—1721no—
1366SD16—1721no—
1367SD16—1721no—
1368SD16—1721no—
1369SD16—1721no—
1370M16—41no—
1371M16—1721no—
1372C2×C8—41no—
1373C2×C8—431no—
1374C2×C8—431no—
1375C2×C8—431no—
1376C2×C8—431no—
1377C2×C8—1721no—
1378C2×C8C23×D4311yescharacteristic
1379C2×C8C23×D4311yescharacteristic
1380C2×C8C23×D4311yescharacteristic
1381C2×C8C23×D4311yescharacteristic
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—431no—
1394C4⋊C4—431no—
1395C4⋊C4—431no—
1396C4⋊C4—431no—
1397C4⋊C4—431no—
1398C4⋊C4—431no—
1399C4⋊C4—431no—
1400C4⋊C4—431no—
1401C4⋊C4—861no—
1402C4⋊C4—861no—
1403C4⋊C4—861no—
1404C4⋊C4—861no—
1405C4⋊C4—861no—
1406C4⋊C4—861no—
1407C4⋊C4—861no—
1408C4⋊C4—861no—
1409C4⋊C4—861no—
1410C4⋊C4—861no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4D4×D4311yescharacteristic
1435C4⋊C4D4×D4311yescharacteristic
1436C4⋊C4C23×D4311yescharacteristic
1437C4⋊C4C23×D4311yescharacteristic
1438C4⋊C4C23×D4311yescharacteristic
1439C4⋊C4C23×D4311yescharacteristic
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—431no—
1448C22⋊C4—431no—
1449C22⋊C4—431no—
1450C22⋊C4—431no—
1451C22⋊C4—861no—
1452C22⋊C4—861no—
1453C22⋊C4—861no—
1454C22⋊C4—861no—
1455C22⋊C4—861no—
1456C22⋊C4—861no—
1457C22⋊C4—861no—
1458C22⋊C4—861no—
1459C22⋊C4—861no—
1460C22⋊C4—861no—
1461C22⋊C4—861no—
1462C22⋊C4—861no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4D4×D4311yescharacteristic
1477C22⋊C4D4×D4311yescharacteristic
1478C42—21no—
1479C42—21no—
1480C42—21no—
1481C42—431no—
1482C42—431no—
1483C42—431no—
1484C42—431no—
1485C42—431no—
1486C42—431no—
1487C42—431no—
1488C42—431no—
1489C42—861no—
1490C42—861no—
1491C42—861no—
1492C42—861no—
1493C42—861no—
1494C42—861no—
1495C42—861no—
1496C42—861no—
1497C42—861no—
1498C42—861no—
1499C42—861no—
1500C42—861no—
1501C42—861no—
1502C42C23×D4311yescharacteristic
1503C42C23×D4311yescharacteristic
1504C23—21no—
1505C23—431no—
1506C23—431no—
1507C23—861no—
1508C23—3441no—
1509C23—3441no—
1510C23—1722no—
1511C23C2×D4×D4311yescharacteristic
1512Q8—21no—
1513Q8—21no—
1514Q8—21no—
1515Q8—21no—
1516Q8—21no—
1517Q8—21no—
1518Q8—81no—
1519Q8—861no—
1520Q8—861no—
1521Q8—861no—
1522Q8—861no—
1523Q8—861no—
1524Q8—861no—
1525Q8—3441no—
1526Q8—1721no—
1527Q8—1722no—
1528Q8—1722no—
1529Q8—1722no—
1530Q8—1722no—
1531Q8—1722no—
1532D4—21no—
1533D4—21no—
1534D4—81no—
1535D4—861no—
1536D4—861no—
1537D4—3441no—
1538D4—3441no—
1539D4—3441no—
1540D4—1721no—
1541D4—1721no—
1542D4—1721no—
1543D4—1722no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—81no—
1554C2×C4—431no—
1555C2×C4—431no—
1556C2×C4—431no—
1557C2×C4—431no—
1558C2×C4—431no—
1559C2×C4—431no—
1560C2×C4—861no—
1561C2×C4—861no—
1562C2×C4—861no—
1563C2×C4—861no—
1564C2×C4—861no—
1565C2×C4—861no—
1566C2×C4—861no—
1567C2×C4—861no—
1568C2×C4—861no—
1569C2×C4—861no—
1570C2×C4—861no—
1571C2×C4—3441no—
1572C2×C4—3441no—
1573C2×C4—3441no—
1574C2×C4—1721no—
1575C2×C4—1721no—
1576C2×C4—1721no—
1577C2×C4—1721no—
1578C2×C4—1722no—
1579C2×C4—1722no—
1580C2×C4—1722no—
1581C2×C4—1721no—
1582C2×C4—1721no—
1583C2×C4C2×D4×D4311yescharacteristic
1584C2×C4C2×D4×D4311yescharacteristic
1585C2×C4C2×D4×D4311yescharacteristic
1586C2×C4C2×D4×D4311yescharacteristic
1587C2×C4C2×D4×D4311yescharacteristic
1588C2×C4C24×D4311yescharacteristic
1589C8—21no—
1590C8—21no—
1591C8—21no—
1592C8—21no—
1593C8—861no—
1594C8—861no—
1595C8—861no—
1596C8—861no—
1597C22—21no—
1598C22—21no—
1599C22—21no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—861no—
1604C22—861no—
1605C22—861no—
1606C22—861no—
1607C22—861no—
1608C22—861no—
1609C22—1721no—
1610C22—1721no—
1611C22—1721no—
1612C22—6882no—
1613C22C22×D4×D4311yescharacteristic
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—21no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—861no—
1627C4—861no—
1628C4—861no—
1629C4—861no—
1630C4—861no—
1631C4—861no—
1632C4—1721no—
1633C4—1721no—
1634C4—1721no—
1635C4—1721no—
1636C4—1721no—
1637C4—1721no—
1638C4—1721no—
1639C4#1458373411yescharacteristic
1640C4#1458373611yescharacteristic
1641C2—41no—
1642C2—81no—
1643C2—3441no—
1644C2—1721no—
1645C2—1721no—
1646C2#1914792311yescharacteristic
1647C2#1914937711yescharacteristic
1648C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3258C2
socleC22×C43C23×D4
prime radical#14583465C22
hypercenter#3258D43
hypocenterC43#61018
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3258

Complements

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

NH ≅ G/Ntype
2. #19148477C2semidirect
3. #19146023C2semidirect
4. #19146021C2semidirect
5. #19146015C2semidirect
6. #19145840C2semidirect
7. #19145834C2semidirect
8. #19145808C2semidirect
9. #19145807C2semidirect
10. #19145626C2semidirect
11. #19145621C2semidirect
12. #19145596C2semidirect
13. #19145596C2semidirect
14. #19145487C2semidirect
15. #19145485C2semidirect
18. #19145299C2semidirect
19. #19145297C2semidirect
20. #19145196C2semidirect
21. #19145194C2semidirect
22. #19144897C2semidirect
23. #19144893C2semidirect
24. #19144849C2semidirect
25. #19144845C2semidirect
26. #19144831C2semidirect
27. #19144829C2semidirect
28. #19144823C2semidirect
29. #19144821C2semidirect
30. #19143245C2semidirect
31. C43×#3258C2semidirect
52. #14583511C22semidirect
58. #14583455C22semidirect
62. #14583451C22semidirect
63. #14583451C22semidirect
64. C4⋊Q8×D43C22semidirect
71. #14583375C22semidirect
72. #14583375C22semidirect
75. #14583307C22semidirect
76. #14583307C22semidirect
77. #14583306C22semidirect
78. #14583306C22semidirect
83. #14583266C22semidirect
84. #14583266C22semidirect
85. #14583266C22semidirect
86. #14583266C22semidirect
93. #14583243C22semidirect
96. #14583242C22semidirect
99. #14583239C22semidirect
102. #14583238C22semidirect
107. #14583207C22semidirect
108. #14583206C22semidirect
109. #14583203C22semidirect
113. #14583195C22semidirect
114. #14583194C22semidirect
115. #14583191C22semidirect
116. #14583185C22semidirect
117. #14583184C22semidirect
118. #14583181C22semidirect
119. #14583157C22semidirect
120. #14583155C22semidirect
121. #14583155C22semidirect
125. #14583140C22semidirect
126. #14583138C22semidirect
127. #14583138C22semidirect
137. #14583110C22semidirect
138. #14583109C22semidirect
139. #14583106C22semidirect
145. #14583056C22semidirect
146. #14583056C22semidirect
149. #14583053C22semidirect
150. #14583053C22semidirect
159. #14583006C22semidirect
160. #14583005C22semidirect
161. #14583003C22semidirect
162. #14583003C22semidirect
167. Q16×Dic43C22semidirect
168. #14582993C22semidirect
169. #14582991C22semidirect
170. #14582991C22semidirect
177. #14582959C22semidirect
178. #14582959C22semidirect
181. #14582955C22semidirect
182. #14582955C22semidirect
183. #14582926C22semidirect
186. M16×Dic43C22semidirect
187. C2×#13063235C22semidirect
189. C43×#541C22semidirect
190. C43×#479C22semidirect
192. C43×#477C22semidirect
193. C43×#475C22semidirect
194. C43×#470C22semidirect
196. C43×#467C22semidirect
200. C43×#462C22semidirect
202. C43×#424C22semidirect
822. #3258D43semidirect
879. #541C2×D43semidirect
936. #479C2×D43semidirect
944. #477C2×D43semidirect
948. #475C2×D43semidirect
952. #470C2×D43semidirect
960. #467C2×D43semidirect
976. #462C2×D43semidirect
1022. #424C2×D43semidirect
1027. C43#61018semidirect

Maximal subgroups

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

subgroupindex
#191484872
#191484772
#191460232
#191460212
#191460152
#191458402
#191458342
#191458082
#191458072
#191456262
#191456212
#191455962
#191454872
#191454852
#191454632
#191454612
#191452992
#191452972
#191451962
#191451942
#191448972
#191448932
#191448492
#191448452
#191448312
#191448292
#191448232
#191448212
#191432452
C43×#32582
#6101843