Finite Group Databasebeta

← #25979547

Subgroups — #25979547

Order 11008.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148684C211yesmaximal, characteristic, complemented
2#19148640C211yesmaximal, characteristic
3#19147627C211yesmaximal, characteristic, complemented
4#19147513C211yesmaximal, characteristic, complemented
5#19147283C211yesmaximal, characteristic, complemented
6#19147236C211yesmaximal, characteristic, complemented
7#19147175C211yesmaximal, characteristic, complemented
8#19147046C211yesmaximal, characteristic, complemented
9#19146510C211yesmaximal, characteristic, complemented
10#19146469C211yesmaximal, characteristic, complemented
11#19146465C211yesmaximal, characteristic, complemented
12#19146458C211yesmaximal, characteristic, complemented
13#19146428C211yesmaximal, characteristic, complemented
14#19146424C211yesmaximal, characteristic, complemented
15#19146238C211yesmaximal, characteristic, complemented
16#19146110C211yesmaximal, characteristic, complemented
17#19146102C211yesmaximal, characteristic, complemented
18#19145268C211yesmaximal, characteristic, complemented
19#19145264C211yesmaximal, characteristic, complemented
20#19145176C211yesmaximal, characteristic, complemented
21#19144831C211yesmaximal, characteristic, complemented
22#19144827C211yesmaximal, characteristic, complemented
23#19144816C211yesmaximal, characteristic, complemented
24#19144812C211yesmaximal, characteristic, complemented
25#19144722C211yesmaximal, characteristic, complemented
26#19144691C211yesmaximal, characteristic, complemented
27#19143565C211yesmaximal, characteristic, complemented
28#19143437C211yesmaximal, characteristic, complemented
29#19143436C211yesmaximal, characteristic, complemented
30C2×#14582986C211yesmaximal, characteristic, complemented
31C43×#3344C211yesmaximal, characteristic, complemented
32C2×#13063358C2211yescharacteristic
33C2×#13063357C2211yescharacteristic
34C22×#10621873C2211yescharacteristic
35#14583627C2211yescharacteristic, complemented
36#14583626—21no—
37#14583626C2211yescharacteristic, complemented
38#14583621C2211yescharacteristic
39#14583617C2211yescharacteristic, complemented
40#14583616—21no—
41#14583604C2211yescharacteristic
42#14583586—21no—
43#14583584C2211yescharacteristic
44#14583582—21no—
45#14583581—21no—
46#14583578—21no—
47#14583576—21no—
48D4×Dic86C2211yescharacteristic
49#14583564C2211yescharacteristic
50#14583562C2211yescharacteristic
51#14583562C2211yescharacteristic, complemented
52#14583559—21no—
53#14583551C2211yescharacteristic
54#14583550C2211yescharacteristic
55#14583545C2211yescharacteristic
56#14583540C2211yescharacteristic
57#14583523C2211yescharacteristic
58#14583522C2211yescharacteristic
59#14583512C2211yescharacteristic, complemented
60#14583509C2211yescharacteristic, complemented
61#14583508—21no—
62#14583506—21no—
63#14583497—21no—
64#14583495—21no—
65#14583452—21no—
66#14583451C2211yescharacteristic
67#14583451C2211yescharacteristic
68#14583429C2211yescharacteristic
69#14583426—21no—
70#14583408—21no—
71C22⋊Q8×D43—21no—
72#14583381C2211yescharacteristic
73#14583380C2211yescharacteristic
74#14583376C2211yescharacteristic, complemented
75#14583375C2211yescharacteristic, complemented
76C2×#13063290C2211yescharacteristic
77C2×#13063287C2211yescharacteristic
78#14583306C2211yescharacteristic, complemented
79#14583303C2211yescharacteristic, complemented
80#14583293C2211yescharacteristic
81#14583292C2211yescharacteristic
82#14583277C2211yescharacteristic, complemented
83#14583256C2211yescharacteristic
84#14583255C2211yescharacteristic
85#14583251C2211yescharacteristic, complemented
86#14583248C2211yescharacteristic, complemented
87#14583248C2211yescharacteristic, complemented
88#14583248C2211yescharacteristic, complemented
89#14583243C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic, complemented
91#14583234C2211yescharacteristic
92#14583234C2211yescharacteristic, complemented
93#14583231C2211yescharacteristic, complemented
94#14583229C2211yescharacteristic
95#14583225C2211yescharacteristic
96#14583223C2211yescharacteristic
97#14583209C2211yescharacteristic, complemented
98#14583198C2211yescharacteristic
99#14583196C2211yescharacteristic
100#14583193C2211yescharacteristic, complemented
101#14583191C2211yescharacteristic, complemented
102#14583183C2211yescharacteristic, complemented
103#14583183C2211yescharacteristic, complemented
104#14583183C2211yescharacteristic, complemented
105#14583178C2211yescharacteristic
106#14583178C2211yescharacteristic
107#14583158C2211yescharacteristic, complemented
108#14583146C2211yescharacteristic
109#14583145C2211yescharacteristic
110#14583141C2211yescharacteristic, complemented
111#14583140C2211yescharacteristic
112#14583138C2211yescharacteristic
113#14583138C2211yescharacteristic
114#14583138C2211yescharacteristic, complemented
115#14583130C2211yescharacteristic
116#14583129C2211yescharacteristic
117#14583124C2211yescharacteristic
118#14583124C2211yescharacteristic
119#14583122C2211yescharacteristic
120#14583121C2211yescharacteristic
121#14583109C2211yescharacteristic, complemented
122#14583108C2211yescharacteristic, complemented
123#14583108C2211yescharacteristic, complemented
124#14583108C2211yescharacteristic, complemented
125#14583105C2211yescharacteristic
126#14583103C2211yescharacteristic
127#14583103C2211yescharacteristic
128#14583103C2211yescharacteristic
129#14583064C2211yescharacteristic
130#14583064C2211yescharacteristic
131#14583063C2211yescharacteristic
132#14583059C2211yescharacteristic
133#14583057C2211yescharacteristic
134#14583056C2211yescharacteristic, complemented
135#14583054C2211yescharacteristic
136#14583054C2211yescharacteristic, complemented
137#14583052C2211yescharacteristic
138#14583049C2211yescharacteristic
139#14583040C2211yescharacteristic
140#14583039C2211yescharacteristic
141#14583027C2211yescharacteristic, complemented
142#14583023C2211yescharacteristic, complemented
143#14583005C2211yescharacteristic, complemented
144#14583005C2211yescharacteristic, complemented
145#14583005C2211yescharacteristic, complemented
146#14583003C2211yescharacteristic, complemented
147#14583003C2211yescharacteristic, complemented
148#14583002C2211yescharacteristic
149#14583002C2211yescharacteristic
150#14583001C2211yescharacteristic
151#14582998C2211yescharacteristic
152#14582998C2211yescharacteristic
153#14582998C2211yescharacteristic
154Q16×Dic43C2211yescharacteristic, complemented
155#14582993C2211yescharacteristic, complemented
156#14582993C2211yescharacteristic, complemented
157C4×#10621885C2211yescharacteristic, complemented
158#14582991C2211yescharacteristic, complemented
159#14582991C2211yescharacteristic, complemented
160C4×#10621884C2211yescharacteristic
161#14582986C2211yescharacteristic
162#14582986C2211yescharacteristic
163#14582986C2211yescharacteristic
164#14582986C2211yescharacteristic
165#14582986C2211yescharacteristic
166#14582986C2211yescharacteristic
167#14582986C2211yescharacteristic
168#14582986C2211yescharacteristic
169#14582986C2211yescharacteristic
170#14582975C2211yescharacteristic, complemented
171#14582970C2211yescharacteristic
172D4×C43⋊C8C2211yescharacteristic
173(C22⋊D43)⋊C8C2211yescharacteristic
174(C22⋊D43)⋊C8C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic
178#14582938C2211yescharacteristic, complemented
179#14582894C2211yescharacteristic
180#14582893C2211yescharacteristic
181C2×#13063248C2211yescharacteristic
182C2×#13063248C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184C2×#13063245C2211yescharacteristic
185#14582857C2211yescharacteristic, complemented
186#14582856C2211yescharacteristic, complemented
187C2×C8×Dic43C2211yescharacteristic
188C43×#554C2211yescharacteristic
189C43×#552C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#484C2211yescharacteristic
193C43×#483C2211yescharacteristic
194C43×#483C2211yescharacteristic, complemented
195C43×#479C2211yescharacteristic, complemented
196C43×#475C2211yescharacteristic, complemented
197C43×#470C2211yescharacteristic, complemented
198C43×#467C2211yescharacteristic
199C43×#441C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic
201C43×#428C2211yescharacteristic, complemented
202C2×#106×C43C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C22×Dic86C2311yescharacteristic
207C22×Dic86C2311yescharacteristic
208C2×Q8×D43—21no—
209C2×Q8×D43C2311yescharacteristic
210C22×D172C2311yescharacteristic
211C22×C4×D43—21no—
212#13063358—24no—
213#13063357—24no—
214C2×Dic172C2311yescharacteristic
215C2×Dic172C2311yescharacteristic
216C2×Dic172C2311yescharacteristic
217C2×#10621885C2311yescharacteristic
218C2×#10621885C2311yescharacteristic
219C2×#10621885C2311yescharacteristic
220C2×#10621885C2311yescharacteristic
221C2×#10621873—24no—
222C2×#10621873C2311yescharacteristic
223C2×#10621873C2311yescharacteristic
224C2×#10621873C2311yescharacteristic
225C2×#10621873C2311yescharacteristic
226C2×#10621873C2311yescharacteristic
227C2×#10621873C2311yescharacteristic
228C2×#10621884C2311yescharacteristic
229C2×#10621884C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C22×C43⋊C8C2311yescharacteristic
232C22×C43⋊C8C2311yescharacteristic
233C2×C8×D43C2311yescharacteristic
234#13063325C2311yescharacteristic
235#13063324—21no—
236#13063324—21no—
237#13063324—21no—
238#13063324—21no—
239#13063324C2311yescharacteristic
240#13063324C2311yescharacteristic
241#13063324C2311yescharacteristic
242#13063323C2311yescharacteristic
243#13063323C2311yescharacteristic
244#13063323C2311yescharacteristic
245#13063320—21no—
246#13063320—21no—
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063320D411yescharacteristic
252#13063319—21no—
253#13063319—21no—
254#13063318—21no—
255#13063318—21no—
256#13063318—21no—
257#13063318D411yescharacteristic
258#13063317—21no—
259#13063316—21no—
260#13063316—21no—
261#13063316—21no—
262#13063316C2311yescharacteristic
263#13063315—21no—
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063315—21no—
270#13063315—21no—
271#13063315—21no—
272#13063315D411yescharacteristic
273#13063314—21no—
274#13063314C2311yescharacteristic
275#13063313C2311yescharacteristic
276#13063311—21no—
277#13063311—21no—
278#13063311D411yescharacteristic
279#13063310—21no—
280#13063310—21no—
281#13063310—21no—
282#13063310—21no—
283#13063310—21no—
284#13063309D411yescharacteristic
285#13063308—21no—
286#13063308—21no—
287#13063307—21no—
288#13063307—21no—
289#13063306D411yescharacteristic
290#13063305—21no—
291#13063305C2311yescharacteristic
292#13063305C2311yescharacteristic
293#13063305C2311yescharacteristic
294#13063304—21no—
295#13063304C2311yescharacteristic
296#13063304C2311yescharacteristic
297#13063304C2311yescharacteristic
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063303—21no—
302#13063303—21no—
303#13063303—21no—
304#13063303—21no—
305#13063302—21no—
306#13063302—21no—
307#13063302—21no—
308#13063302—21no—
309#13063302—21no—
310#13063302—21no—
311#13063302D411yescharacteristic
312#13063301—21no—
313#13063301—21no—
314#13063300—21no—
315#13063300C2311yescharacteristic
316#13063299C2311yescharacteristic
317#13063298—21no—
318#13063298—21no—
319#13063297D411yescharacteristic
320#13063295—21no—
321#13063293—21no—
322Q8×Dic43C2311yescharacteristic
323Q8×Dic43C2311yescharacteristic
324C4×Dic86—21no—
325C4×Dic86—21no—
326C4×Dic86—21no—
327C4×Dic86—21no—
328C4×Dic86—21no—
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331#13063290—21no—
332#13063290—21no—
333#13063290—21no—
334#13063290—21no—
335#13063290—21no—
336#13063290—21no—
337#13063290C2311yescharacteristic
338#13063290C2311yescharacteristic
339#13063290C2311yescharacteristic
340#13063290C2311yescharacteristic
341#13063290C2311yescharacteristic
342#13063290C2311yescharacteristic
343#13063290C2311yescharacteristic
344#13063290C2311yescharacteristic
345#13063290C2311yescharacteristic
346C4×D172—21no—
347C4×D172C2311yescharacteristic
348D4×Dic43—21no—
349#13063287—21no—
350#13063287—21no—
351#13063287—21no—
352#13063287C2311yescharacteristic
353#13063287C2311yescharacteristic
354#13063287C2311yescharacteristic
355#13063287C2311yescharacteristic
356#13063287C2311yescharacteristic
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43—21no—
360C4×C22⋊D43C2311yescharacteristic
361C4×C22⋊D43C2311yescharacteristic
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364#13063284—21no—
365#13063284C2311yescharacteristic
366#13063283—21no—
367#13063283—21no—
368#13063283C2311yescharacteristic
369#13063282—21no—
370#13063282—21no—
371#13063282—21no—
372#13063282C2311yescharacteristic
373#13063281—21no—
374#13063281—21no—
375#13063281—21no—
376#13063281—21no—
377C2×Dic43⋊C4—21no—
378C4⋊C4×D43—21no—
379C4⋊C4×D43—21no—
380C4⋊C4×D43—21no—
381C4⋊C4×D43C2311yescharacteristic
382C2×(C2×D43)⋊C4—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C2×C4×Dic43—21no—
386C2×C4×Dic43C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#125×C43—21no—
444#125×C43—21no—
445#125×C43C2311yescharacteristic
446#123×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450C22⋊Q8×C43C2311yescharacteristic
451C22⋊Q8×C43C2311yescharacteristic
452C22⋊Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43—21no—
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459C2×C4⋊C4×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43—21no—
482C2×Q8×C43—21no—
483C2×Q8×C43C2411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C2×D4×C43C2×D411yescharacteristic
486C22×C4×C43—21no—
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43C2411yescharacteristic
490C22×C4×C43C2411yescharacteristic
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43C2×D411yescharacteristic
494C2×C22⋊D43C2×D411yescharacteristic
495C22×Dic43—21no—
496C22×Dic43—21no—
497C22×Dic43C2×D411yescharacteristic
498C22×Dic43C2×D411yescharacteristic
499#10621902—22no—
500#10621902—41no—
501Q8×D43—22no—
502Q8×D43—41no—
503Q8×D43—82no—
504#10621898—22no—
505#10621898—41no—
506#10621898—82no—
507C2×D172—21no—
508C2×D172—21no—
509C2×D172—21no—
510C2×D172—22no—
511C2×D172—41no—
512C2×D172C2411yescharacteristic
513C2×D172C2411yescharacteristic
514C2×C4×D43—21no—
515C2×C4×D43—21no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—82no—
525C2×C4×D43C2411yescharacteristic
526C2×Dic86—22no—
527C2×Dic86—22no—
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—41no—
535C2×Dic86—41no—
536C2×Dic86C2×D411yescharacteristic
537C2×Dic86C2411yescharacteristic
538C2×Dic86C2411yescharacteristic
539C2×Dic86C2411yescharacteristic
540C2×Dic86C2411yescharacteristic
541Q16×C43—22no—
542M16×C43—22no—
543C2×C8×C43—22no—
544C2×C8×C43C2411yescharacteristic
545C2×C8×C43C2411yescharacteristic
546C2×C8×C43C2411yescharacteristic
547C2×C8×C43C2411yescharacteristic
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43C2×D411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43C2×D411yescharacteristic
573C22⋊C4×C43C2×D411yescharacteristic
574C42×C43—21no—
575C42×C43—21no—
576C42×C43—21no—
577C42×C43C2411yescharacteristic
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43C2×D411yescharacteristic
582C22⋊Dic43C2×D411yescharacteristic
583C22⋊Dic43C2×D411yescharacteristic
584C22⋊Dic43C2×D411yescharacteristic
585#10621885—22no—
586#10621885—41no—
587#10621885—41no—
588#10621885—41no—
589#10621884—22no—
590#10621884—41no—
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)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
609(C2×D43)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43C2×D411yescharacteristic
620C4⋊Dic43C2×D411yescharacteristic
621C4⋊Dic43C2×D411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43C2×D411yescharacteristic
668C4×Dic43C2×D411yescharacteristic
669C4×Dic43C2411yescharacteristic
670C4×Dic43C2411yescharacteristic
671C4×Dic43C2411yescharacteristic
672C2×C43⋊C8—41no—
673C2×C43⋊C8—41no—
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678Dic172—22no—
679Dic172—22no—
680Dic172—41no—
681#10621873—22no—
682#10621873—22no—
683#10621873—22no—
684#10621873—22no—
685#10621873—41no—
686#10621873#4114yescomplemented
687#10621872—22no—
688C8×D43—41no—
689C23×C43C22×D411yescharacteristic
690C23×C43C22×D411yescharacteristic
691C22×D43—21no—
692C22×D43—21no—
693C22×D43—42no—
694C22×D43—42no—
695C22×D43—81no—
696C22×D43C22×D411yescharacteristic
697Q8×C43—21no—
698Q8×C43—21no—
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—81no—
702D4×C43—22no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—42no—
716C2×C4×C43—81no—
717C2×C4×C43—81no—
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C2511yescharacteristic
723C22⋊D43—22no—
724C22⋊D43—22no—
725C22⋊D43—42no—
726C22⋊D43—81no—
727C2×Dic43—22no—
728C2×Dic43—21no—
729C2×Dic43—22no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—42no—
736C2×Dic43—42no—
737C2×Dic43C22×D411yescharacteristic
738C2×Dic43C22×D411yescharacteristic
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744D172—21no—
745D172—21no—
746D172—21no—
747D172—42no—
748D172—42no—
749D172—81no—
750D172C2×#4112yes—
751C4×D43—21no—
752C4×D43—21no—
753C4×D43—42no—
754C4×D43—42no—
755C4×D43—42no—
756C4×D43—42no—
757C4×D43—42no—
758C4×D43—81no—
759C4×D43—81no—
760C4×D43—81no—
761C4×D43—81no—
762C4×D43—81no—
763Dic86—21no—
764Dic86—22no—
765Dic86—21no—
766Dic86—21no—
767Dic86—21no—
768Dic86—21no—
769Dic86—21no—
770Dic86—21no—
771Dic86—42no—
772Dic86—42no—
773Dic86—42no—
774Dic86—42no—
775Dic86—42no—
776Dic86—81no—
777Dic86C2×#4112yes—
778C8×C43—21no—
779C8×C43—21no—
780C8×C43—21no—
781C8×C43C2×#4112yes—
782C43⋊C8—21no—
783C43⋊C8—21no—
784C43⋊C8—21no—
785C43⋊C8—21no—
786#61497—431nomaximal, Sylow
787C22×C43—21no—
788C22×C43—21no—
789C22×C43—21no—
790C22×C43—21no—
791C22×C43—21no—
792C22×C43#57812yes—
793C22×C43C23×D411yescharacteristic
794C2×D43—22no—
795C2×D43—21no—
796C2×D43—21no—
797C2×D43—21no—
798C2×D43—41no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—41no—
803C2×D43—84no—
804C4×C43—21no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43C22×#4111yescharacteristic
817C4×C43#58511yescharacteristic
818Dic43—22no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—21no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830Dic43#57712yes—
831#3523—431no—
832#3520—431no—
833#3398—431no—
834#3386—431no—
835#3364—431no—
836#3359—431no—
837#3353—431no—
838#3344—431no—
839#3344D4311yescharacteristic, complemented
840#3302—431no—
841#3299—431no—
842#3299—431no—
843#3298—431no—
844#3296—431no—
845#3296—431no—
846#3276—431no—
847#3266—431no—
848#3266—431no—
849#3178—431no—
850#3178—431no—
851#3170—431no—
852#3121—431no—
853#3121—431no—
854#3120—431no—
855#3120—431no—
856#3113—431no—
857#3110—431no—
858#2966—431no—
859#2947—431no—
860#2947—431no—
861C2×C4×SD16—431no—
862C2×C43—22no—
863C2×C43—41no—
864C2×C43D4×#4111yescharacteristic
865C2×C43C2×#57711yescharacteristic
866C2×C43C2×#57811yescharacteristic
867D43—41no—
868D43—42no—
869D43—81no—
870C2×#137—431no—
871C2×#137—431no—
872C22×SD16—431no—
873#557—431no—
874#557—431no—
875#557—861no—
876#556—431no—
877#556—431no—
878#556—861no—
879#554—431no—
880#554C2×D4311yescharacteristic
881#552—431no—
882#552—861no—
883#552—861no—
884#552—861no—
885#552C2×D4311yescharacteristic
886#551—861no—
887#551—861no—
888D4×Q8—431no—
889D4×Q8—431no—
890D4×Q8—431no—
891D4×Q8—431no—
892#548—861no—
893#547—431no—
894#547—431no—
895#546—431no—
896#546—431no—
897#542—431no—
898#542—431no—
899#541—431no—
900#541—431no—
901#541—861no—
902#541—861no—
903#539—861no—
904#539—861no—
905#533—431no—
906#533—431no—
907#533—861no—
908#529—431no—
909#529—861no—
910#525—861no—
911C2×C22⋊Q8—861no—
912#520—431no—
913#520—431no—
914#519—431no—
915#519—431no—
916C2×C4×Q8—431no—
917C2×C4×D4—431no—
918#501—431no—
919#501C2×D4311yescharacteristic, complemented
920#500—431no—
921#497—431no—
922#497—431no—
923#494—431no—
924#488—431no—
925#488—431no—
926#487—431no—
927#487—431no—
928#487—431no—
929#487—431no—
930#485—431no—
931#485C2×D4311yescharacteristic, complemented
932#484—431no—
933#484—431no—
934#484—431no—
935#484C2×D4311yescharacteristic
936#483—431no—
937#483—431no—
938#483C2×D4311yescharacteristic
939#483C2×D4311yescharacteristic, complemented
940#482—431no—
941#482—431no—
942#479—431no—
943#479C2×D4311yescharacteristic, complemented
944#478—431no—
945#478—431no—
946#477—431no—
947#477—431no—
948#475—431no—
949#475—431no—
950#475—431no—
951#475C2×D4311yescharacteristic, complemented
952#474—431no—
953#474—431no—
954#470—431no—
955#470C2×D4311yescharacteristic, complemented
956#468—431no—
957#468—431no—
958#467—431no—
959#467—431no—
960#467—431no—
961#467—431no—
962#467—431no—
963#467C2×D4311yescharacteristic
964#465—431no—
965#465—431no—
966#464—431no—
967#464—431no—
968#464—431no—
969#464—431no—
970#462—431no—
971#462—431no—
972#462—431no—
973#462—431no—
974#461—431no—
975#461—431no—
976#461—431no—
977#461—431no—
978#452—431no—
979#452—431no—
980#452—431no—
981#452—431no—
982#451—431no—
983#451—431no—
984#451—431no—
985#451—431no—
986#450—431no—
987#450—431no—
988#448—431no—
989#448—431no—
990#446—431no—
991C8×Q8—431no—
992#441—431no—
993#441—431no—
994#441—431no—
995#441—431no—
996#441—431no—
997#441C2×D4311yescharacteristic, complemented
998#440—431no—
999#440—431no—
1000#440—431no—
1001#440—431no—
1002#440—431no—
1003#440—431no—
1004C4×Q16—431no—
1005C4×Q16—431no—
1006C4×Q16—431no—
1007C4×Q16—431no—
1008C4×Q16—431no—
1009C4×Q16—431no—
1010C4×SD16—431no—
1011C4×SD16—431no—
1012C4×SD16—431no—
1013C4×SD16—431no—
1014C4×SD16—431no—
1015C4×SD16—431no—
1016C4×SD16—431no—
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16—431no—
1020#436—431no—
1021#435—431no—
1022#435C2×D4311yescharacteristic
1023C8×D4—431no—
1024C8×D4—431no—
1025C8×D4—431no—
1026#433—431no—
1027#433—431no—
1028#432—431no—
1029#428—431no—
1030#428C2×D4311yescharacteristic, complemented
1031C2×#106C2×D4311yescharacteristic
1032#416—431no—
1033#416—431no—
1034C2×#103—431no—
1035C2×#103—431no—
1036C2×#103—431no—
1037C2×#102—431no—
1038#405—431no—
1039#405—431no—
1040C2×C4×C8—431no—
1041C43#6149711yescharacteristic, complemented, Sylow
1042C2×#41—431no—
1043C2×#41—431no—
1044C2×#41—861no—
1045C22×Q8—431no—
1046C22×Q8—431no—
1047C22×Q8—431no—
1048C22×Q8—861no—
1049C22×D4—431no—
1050C23×C4—861no—
1051#137—864no—
1052#137—864no—
1053C2×Q16—431no—
1054C2×Q16—431no—
1055C2×Q16—431no—
1056C2×Q16—431no—
1057C2×Q16—431no—
1058C2×Q16—431no—
1059C2×Q16—431no—
1060C2×Q16C22×D4311yescharacteristic
1061C2×SD16—431no—
1062C2×SD16—431no—
1063C2×SD16—431no—
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—431no—
1068C2×SD16—431no—
1069C2×SD16—864no—
1070C2×M16—431no—
1071C2×M16C22×D4311yescharacteristic
1072C22×C8—431no—
1073C22×C8—431no—
1074C22×C8—431no—
1075C22×C8C22×D4311yescharacteristic
1076C4⋊Q8—431no—
1077C4⋊Q8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081C4⋊Q8—431no—
1082C4⋊Q8—431no—
1083C4⋊Q8—861no—
1084C4⋊Q8—861no—
1085C4⋊Q8—861no—
1086C4⋊Q8—861no—
1087C4⋊Q8C22×D4311yescharacteristic
1088#126—21no—
1089#126—431no—
1090#126—431no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#125—21no—
1103#125—21no—
1104#125—431no—
1105#125—431no—
1106#125—861no—
1107#125—861no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125C22×D4311yescharacteristic
1120#124—431no—
1121#124—431no—
1122#124—431no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#123—21no—
1127#123—431no—
1128#123—431no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—431no—
1141C22⋊Q8—431no—
1142C22⋊Q8—431no—
1143C22⋊Q8—431no—
1144C22⋊Q8—431no—
1145C22⋊Q8—431no—
1146C22⋊Q8—431no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8C22×D4311yescharacteristic
1165C22⋊Q8C22×D4311yescharacteristic
1166C22⋊Q8C22×D4311yescharacteristic
1167C22⋊Q8C22×D4311yescharacteristic
1168#121—431no—
1169#121—431no—
1170#121—431no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#120—861no—
1175#120—861no—
1176C4×Q8—431no—
1177C4×Q8—431no—
1178C4×Q8—431no—
1179C4×Q8—431no—
1180C4×Q8—431no—
1181C4×Q8—431no—
1182C4×Q8—431no—
1183C4×Q8—431no—
1184C4×Q8—431no—
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—861no—
1190C4×Q8—861no—
1191C4×Q8—861no—
1192C4×Q8—861no—
1193C4×Q8—861no—
1194C4×Q8—861no—
1195C4×Q8—861no—
1196C4×Q8—861no—
1197C4×Q8—861no—
1198C4×Q8—861no—
1199C4×Q8—861no—
1200C4×Q8C22×D4311yescharacteristic
1201C4×Q8C22×D4311yescharacteristic
1202C4×D4—21no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4C22×D4311yescharacteristic
1222#117—21no—
1223#117—431no—
1224#117—431no—
1225#117—431no—
1226#117—861no—
1227#117—861no—
1228#117—861no—
1229#117—861no—
1230#117—861no—
1231#117—861no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117C22×D4311yescharacteristic
1237C2×C4⋊C4—431no—
1238C2×C4⋊C4—861no—
1239C2×C4⋊C4—861no—
1240C2×C4⋊C4—861no—
1241C2×C4⋊C4—861no—
1242C2×C4⋊C4C22×D4311yescharacteristic
1243C2×C4⋊C4C22×D4311yescharacteristic
1244C2×C4⋊C4C22×D4311yescharacteristic
1245C2×C22⋊C4—861no—
1246C2×C22⋊C4—861no—
1247C2×C22⋊C4—861no—
1248C2×C42—431no—
1249C2×C42—861no—
1250#107—431no—
1251#107—431no—
1252#107—431no—
1253#107—431no—
1254#107—431no—
1255#107C22×D4311yescharacteristic
1256#107C22×D4311yescharacteristic
1257#107C22×D4311yescharacteristic
1258#106—431no—
1259#106—431no—
1260#106C22×D4311yescharacteristic
1261#106C22×D4311yescharacteristic
1262#106C22×D4311yescharacteristic
1263#106C22×D4311yescharacteristic
1264#106C22×D4311yescharacteristic
1265#106C22×D4311yescharacteristic
1266C4⋊C8—431no—
1267C4⋊C8—431no—
1268C4⋊C8—431no—
1269C4⋊C8—431no—
1270C4⋊C8—431no—
1271C4⋊C8C22×D4311yescharacteristic
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103—431no—
1280#103—431no—
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103C22×D4311yescharacteristic
1291#103C22×D4311yescharacteristic
1292#103C22×D4311yescharacteristic
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#102—431no—
1297#102—431no—
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304C22⋊C8—431no—
1305C22⋊C8—431no—
1306C22⋊C8—431no—
1307C22⋊C8—431no—
1308C22⋊C8C22×D4311yescharacteristic
1309C22⋊C8C22×D4311yescharacteristic
1310#97—431no—
1311#97—431no—
1312#97—431no—
1313#97C22×D4311yescharacteristic
1314C4×C8—431no—
1315C4×C8—431no—
1316C4×C8—431no—
1317C4×C8—431no—
1318C4×C8—431no—
1319C4×C8—431no—
1320C24—861no—
1321#41—862no—
1322#41—862no—
1323#41—3442no—
1324#41—1721no—
1325#41—1721no—
1326C2×Q8—21no—
1327C2×Q8—431no—
1328C2×Q8—431no—
1329C2×Q8—431no—
1330C2×Q8—431no—
1331C2×Q8—431no—
1332C2×Q8—861no—
1333C2×Q8—861no—
1334C2×Q8—861no—
1335C2×Q8—861no—
1336C2×Q8—862no—
1337C2×Q8—862no—
1338C2×Q8—861no—
1339C2×Q8—861no—
1340C2×Q8—862no—
1341C2×Q8—3442no—
1342C2×Q8—1721no—
1343C2×Q8—1721no—
1344C2×Q8—1721no—
1345C2×Q8C23×D4311yescharacteristic
1346C2×Q8C23×D4311yescharacteristic
1347C2×D4—431no—
1348C2×D4—431no—
1349C2×D4—431no—
1350C2×D4—431no—
1351C2×D4—862no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4—861no—
1355C2×D4—861no—
1356C2×D4—861no—
1357C2×D4—1721no—
1358C2×D4D4×D4311yescharacteristic
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—431no—
1363C22×C4—431no—
1364C22×C4—431no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—861no—
1375C22×C4—861no—
1376C22×C4—861no—
1377C22×C4—3442no—
1378C22×C4C23×D4311yescharacteristic
1379C22×C4C23×D4311yescharacteristic
1380Q16—22no—
1381Q16—862no—
1382Q16—862no—
1383Q16—862no—
1384Q16—1721no—
1385Q16—1721no—
1386Q16—1721no—
1387Q16—1721no—
1388SD16—434no—
1389SD16—862no—
1390SD16—862no—
1391SD16—862no—
1392SD16—862no—
1393SD16—862no—
1394SD16—1721no—
1395SD16—1721no—
1396M16—22no—
1397M16—862no—
1398C2×C8—22no—
1399C2×C8—431no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8—1721no—
1404C2×C8—1721no—
1405C2×C8—1721no—
1406C2×C8C23×D4311yescharacteristic
1407C2×C8C23×D4311yescharacteristic
1408C2×C8C23×D4311yescharacteristic
1409C2×C8C23×D4311yescharacteristic
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4D4×D4311yescharacteristic
1466C4⋊C4C23×D4311yescharacteristic
1467C4⋊C4C23×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C4⋊C4C23×D4311yescharacteristic
1471C4⋊C4C23×D4311yescharacteristic
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—431no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4D4×D4311yescharacteristic
1505C22⋊C4D4×D4311yescharacteristic
1506C42—21no—
1507C42—21no—
1508C42—21no—
1509C42—431no—
1510C42—431no—
1511C42—431no—
1512C42—431no—
1513C42—431no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42—861no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42C23×D4311yescharacteristic
1528C23—431no—
1529C23—861no—
1530C23—861no—
1531C23—3441no—
1532C23—1722no—
1533C23—1722no—
1534C23C2×D4×D4311yescharacteristic
1535C23C2×D4×D4311yescharacteristic
1536Q8—21no—
1537Q8—21no—
1538Q8—21no—
1539Q8—21no—
1540Q8—81no—
1541Q8—432no—
1542Q8—862no—
1543Q8—861no—
1544Q8—861no—
1545Q8—861no—
1546Q8—861no—
1547Q8—861no—
1548Q8—861no—
1549Q8—861no—
1550Q8—3441no—
1551Q8—1722no—
1552Q8—1722no—
1553Q8—1722no—
1554Q8—1722no—
1555Q8—1722no—
1556D4—22no—
1557D4—432no—
1558D4—862no—
1559D4—862no—
1560D4—861no—
1561D4—861no—
1562D4—861no—
1563D4—3441no—
1564D4—3441no—
1565D4—1722no—
1566D4—1722no—
1567D4—1722no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—42no—
1581C2×C4—81no—
1582C2×C4—81no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—431no—
1587C2×C4—431no—
1588C2×C4—431no—
1589C2×C4—431no—
1590C2×C4—862no—
1591C2×C4—862no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—3441no—
1601C2×C4—3441no—
1602C2×C4—3441no—
1603C2×C4—3441no—
1604C2×C4—3441no—
1605C2×C4—1722no—
1606C2×C4—1722no—
1607C2×C4—1722no—
1608C2×C4—1722no—
1609C2×C4—1722no—
1610C2×C4—1722no—
1611C2×C4—1722no—
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C2×D4×D4311yescharacteristic
1614C2×C4C2×D4×D4311yescharacteristic
1615C2×C4C2×D4×D4311yescharacteristic
1616C2×C4C24×D4311yescharacteristic
1617C8—21no—
1618C8—21no—
1619C8—21no—
1620C8—861no—
1621C8—861no—
1622C8—861no—
1623C8—861no—
1624C8#41×D4312yes—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—21no—
1630C22—861no—
1631C22—861no—
1632C22—861no—
1633C22—862no—
1634C22—3444no—
1635C22—1721no—
1636C22—1721no—
1637C22—1721no—
1638C22—1721no—
1639C22—1721no—
1640C22#1458371512yes—
1641C22C22×D4×D4311yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—432no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—861no—
1659C4—861no—
1660C4—861no—
1661C4—862no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4—1721no—
1667C4C2×#41×D4311yescharacteristic
1668C4#1458373611yescharacteristic
1669C2—22no—
1670C2—41no—
1671C2—3441no—
1672C2—1721no—
1673C2—1722no—
1674C2#1914808211yescharacteristic
1675C2#577×D4311yescharacteristic
1676C2C2×#1458371511yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3344C2
socleC22×C43C23×D4
prime radical#19148640C2
hypercenter#3344D43
hypocenterC43#61497
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3344

Complements

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

NH ≅ G/Ntype
1. #19148684C2semidirect
3. #19147627C2semidirect
4. #19147513C2semidirect
5. #19147283C2semidirect
6. #19147236C2semidirect
7. #19147175C2semidirect
8. #19147046C2semidirect
9. #19146510C2semidirect
10. #19146469C2semidirect
11. #19146465C2semidirect
12. #19146458C2semidirect
13. #19146428C2semidirect
14. #19146424C2semidirect
15. #19146238C2semidirect
16. #19146110C2semidirect
17. #19146102C2semidirect
18. #19145268C2semidirect
19. #19145264C2semidirect
20. #19145176C2semidirect
21. #19144831C2semidirect
22. #19144827C2semidirect
23. #19144816C2semidirect
24. #19144812C2semidirect
25. #19144722C2semidirect
26. #19144691C2semidirect
27. #19143565C2semidirect
28. #19143437C2semidirect
29. #19143436C2semidirect
30. C2×#14582986C2semidirect
31. C43×#3344C2semidirect
35. #14583627C22semidirect
37. #14583626C22semidirect
39. #14583617C22semidirect
51. #14583562C22semidirect
59. #14583512C22semidirect
60. #14583509C22semidirect
74. #14583376C22semidirect
75. #14583375C22semidirect
78. #14583306C22semidirect
79. #14583303C22semidirect
82. #14583277C22semidirect
85. #14583251C22semidirect
86. #14583248C22semidirect
87. #14583248C22semidirect
88. #14583248C22semidirect
89. #14583243C22semidirect
90. #14583236C22semidirect
92. #14583234C22semidirect
93. #14583231C22semidirect
97. #14583209C22semidirect
100. #14583193C22semidirect
101. #14583191C22semidirect
102. #14583183C22semidirect
103. #14583183C22semidirect
104. #14583183C22semidirect
107. #14583158C22semidirect
110. #14583141C22semidirect
114. #14583138C22semidirect
121. #14583109C22semidirect
122. #14583108C22semidirect
123. #14583108C22semidirect
124. #14583108C22semidirect
134. #14583056C22semidirect
136. #14583054C22semidirect
141. #14583027C22semidirect
142. #14583023C22semidirect
143. #14583005C22semidirect
144. #14583005C22semidirect
145. #14583005C22semidirect
146. #14583003C22semidirect
147. #14583003C22semidirect
154. Q16×Dic43C22semidirect
155. #14582993C22semidirect
156. #14582993C22semidirect
157. C4×#10621885C22semidirect
158. #14582991C22semidirect
159. #14582991C22semidirect
170. #14582975C22semidirect
174. (C22⋊D43)⋊C8C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
178. #14582938C22semidirect
182. C2×#13063248C22semidirect
183. #103×D43C22semidirect
185. #14582857C22semidirect
186. #14582856C22semidirect
190. C43×#501C22semidirect
191. C43×#485C22semidirect
194. C43×#483C22semidirect
195. C43×#479C22semidirect
196. C43×#475C22semidirect
197. C43×#470C22semidirect
199. C43×#441C22semidirect
201. C43×#428C22semidirect
686. #10621873#41semidirect
839. #3344D43semidirect
919. #501C2×D43semidirect
931. #485C2×D43semidirect
939. #483C2×D43semidirect
943. #479C2×D43semidirect
951. #475C2×D43semidirect
955. #470C2×D43semidirect
997. #441C2×D43semidirect
1030. #428C2×D43semidirect
1041. C43#61497semidirect

Maximal subgroups

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

subgroupindex
#191486842
#191486402
#191476272
#191475132
#191472832
#191472362
#191471752
#191470462
#191465102
#191464692
#191464652
#191464582
#191464282
#191464242
#191462382
#191461102
#191461022
#191452682
#191452642
#191451762
#191448312
#191448272
#191448162
#191448122
#191447222
#191446912
#191435652
#191434372
#191434362
C2×#145829862
C43×#33442
#6149743