Finite Group Databasebeta

← #25979593

Subgroups — #25979593

Order 11008.

1806 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148684C211yesmaximal, characteristic, complemented
2#19148673C211yesmaximal, characteristic
3#19147649C211yesmaximal, characteristic, complemented
4#19147524C211yesmaximal, characteristic, complemented
5#19147294C211yesmaximal, characteristic, complemented
6#19147272C211yesmaximal, characteristic, complemented
7#19147206C211yesmaximal, characteristic, complemented
8#19147031C211yesmaximal, characteristic, complemented
9#19146532C211yesmaximal, characteristic, complemented
10#19146480C211yesmaximal, characteristic, complemented
11#19146476C211yesmaximal, characteristic, complemented
12#19146469C211yesmaximal, characteristic, complemented
13#19146458C211yesmaximal, characteristic, complemented
14#19146454C211yesmaximal, characteristic, complemented
15#19146258C211yesmaximal, characteristic, complemented
16#19146170C211yesmaximal, characteristic, complemented
17#19146162C211yesmaximal, characteristic, complemented
18#19145268C211yesmaximal, characteristic, complemented
19#19145256C211yesmaximal, characteristic, complemented
20#19145149C211yesmaximal, characteristic, complemented
21#19144829C211yesmaximal, characteristic, complemented
22#19144819C211yesmaximal, characteristic, complemented
23#19144814C211yesmaximal, characteristic, complemented
24#19144804C211yesmaximal, characteristic, complemented
25#19144722C211yesmaximal, characteristic, complemented
26#19144714C211yesmaximal, characteristic, complemented
27#19143565C211yesmaximal, characteristic, complemented
28#19143436C211yesmaximal, characteristic, complemented
29#19143435C211yesmaximal, characteristic, complemented
30C2×#14582993C211yesmaximal, characteristic, complemented
31C43×#3343C211yesmaximal, characteristic, complemented
32C2×#13063358C2211yescharacteristic
33C2×#13063354C2211yescharacteristic
34C22×Dic172C2211yescharacteristic
35#14583633—21no—
36#14583632C2211yescharacteristic
37#14583629C2211yescharacteristic
38#14583627C2211yescharacteristic
39#14583626—21no—
40#14583626C2211yescharacteristic
41#14583617C2211yescharacteristic
42#14583616—21no—
43#14583604C2211yescharacteristic
44#14583603—21no—
45#14583586—21no—
46#14583584C2211yescharacteristic
47#14583582—21no—
48#14583567C2211yescharacteristic
49D4×Dic86C2211yescharacteristic
50#14583562C2211yescharacteristic
51#14583562C2211yescharacteristic
52#14583558C2211yescharacteristic
53#14583555C2211yescharacteristic
54#14583550C2211yescharacteristic
55#14583548—21no—
56#14583547—21no—
57#14583523C2211yescharacteristic
58#14583519—21no—
59#14583517—21no—
60#14583516C2211yescharacteristic
61#14583512C2211yescharacteristic
62#14583509C2211yescharacteristic
63#14583508—21no—
64#14583506—21no—
65#14583452—21no—
66#14583451C2211yescharacteristic
67#14583445—21no—
68#14583444C2211yescharacteristic
69#14583429C2211yescharacteristic
70#14583426—21no—
71#14583426—21no—
72#14583380C2211yescharacteristic
73#14583378C2211yescharacteristic
74#14583376C2211yescharacteristic
75#14583375C2211yescharacteristic
76C2×#13063290C2211yescharacteristic
77C2×#13063290C2211yescharacteristic
78#14583307C2211yescharacteristic
79#14583296C2211yescharacteristic
80#14583293C2211yescharacteristic
81#14583290C2211yescharacteristic
82#14583270C2211yescharacteristic
83#14583256C2211yescharacteristic
84#14583252C2211yescharacteristic
85#14583251C2211yescharacteristic
86#14583248C2211yescharacteristic
87#14583248C2211yescharacteristic
88#14583244C2211yescharacteristic
89#14583242C2211yescharacteristic
90#14583240C2211yescharacteristic
91#14583236C2211yescharacteristic
92#14583231C2211yescharacteristic
93#14583229C2211yescharacteristic
94#14583229C2211yescharacteristic
95#14583226C2211yescharacteristic
96#14583212C2211yescharacteristic
97#14583205C2211yescharacteristic
98#14583203C2211yescharacteristic
99#14583202C2211yescharacteristic
100#14583193C2211yescharacteristic
101#14583193C2211yescharacteristic
102#14583193C2211yescharacteristic
103#14583183C2211yescharacteristic
104#14583183C2211yescharacteristic
105#14583183C2211yescharacteristic
106#14583181C2211yescharacteristic
107#14583158C2211yescharacteristic
108#14583157C2211yescharacteristic
109#14583146C2211yescharacteristic
110#14583141C2211yescharacteristic
111#14583138C2211yescharacteristic
112#14583130C2211yescharacteristic
113#14583129C2211yescharacteristic
114#14583128C2211yescharacteristic
115#14583126C2211yescharacteristic
116#14583126C2211yescharacteristic
117#14583122C2211yescharacteristic
118#14583121C2211yescharacteristic
119#14583120C2211yescharacteristic
120#14583120C2211yescharacteristic
121#14583110C2211yescharacteristic
122#14583108C2211yescharacteristic
123#14583108C2211yescharacteristic
124#14583108C2211yescharacteristic
125#14583104C2211yescharacteristic
126#14583103C2211yescharacteristic
127#14583098C2211yescharacteristic
128#14583098C2211yescharacteristic
129#14583063C2211yescharacteristic
130#14583062C2211yescharacteristic
131#14583062C2211yescharacteristic
132#14583059C2211yescharacteristic
133#14583057C2211yescharacteristic
134#14583057C2211yescharacteristic
135#14583056C2211yescharacteristic
136#14583054C2211yescharacteristic
137#14583040C2211yescharacteristic
138#14583039C2211yescharacteristic
139#14583037C2211yescharacteristic
140#14583037C2211yescharacteristic
141#14583027C2211yescharacteristic
142#14583023C2211yescharacteristic
143#14583007C2211yescharacteristic
144#14583005C2211yescharacteristic
145#14583005C2211yescharacteristic
146#14583005C2211yescharacteristic
147#14583003C2211yescharacteristic
148#14583003C2211yescharacteristic
149#14582998C2211yescharacteristic
150#14582998C2211yescharacteristic
151#14582998C2211yescharacteristic
152#14582996C2211yescharacteristic
153#14582996C2211yescharacteristic
154#14582993C2211yescharacteristic
155#14582993C2211yescharacteristic
156#14582993C2211yescharacteristic
157#14582993C2211yescharacteristic
158#14582993C2211yescharacteristic
159#14582993C2211yescharacteristic
160#14582993C2211yescharacteristic
161#14582993C2211yescharacteristic
162#14582993C2211yescharacteristic
163C4×#10621885C2211yescharacteristic
164#14582990C2211yescharacteristic
165SD16×Dic43C2211yescharacteristic
166#14582986C2211yescharacteristic
167#14582986C2211yescharacteristic
168C4×#10621883C2211yescharacteristic
169#14582984C2211yescharacteristic
170#14582975C2211yescharacteristic
171#14582970C2211yescharacteristic
172D4×C43⋊C8C2211yescharacteristic
173(C22⋊D43)⋊C8C2211yescharacteristic
174(C22⋊D43)⋊C8C2211yescharacteristic
175#14582959C2211yescharacteristic
176#14582957C2211yescharacteristic
177#14582953C2211yescharacteristic
178#14582940C2211yescharacteristic
179#14582893C2211yescharacteristic
180#14582892C2211yescharacteristic
181C2×#13063248C2211yescharacteristic
182C2×#13063248C2211yescharacteristic
183C2×#13063248C2211yescharacteristic
184#103×D43C2211yescharacteristic
185#14582857C2211yescharacteristic
186#14582856C2211yescharacteristic
187C2×C8×Dic43C2211yescharacteristic
188C43×#552C2211yescharacteristic
189C43×#547C2211yescharacteristic
190C43×#501C2211yescharacteristic
191C43×#484C2211yescharacteristic
192C43×#483C2211yescharacteristic
193C43×#482C2211yescharacteristic
194C43×#480C2211yescharacteristic
195C43×#478C2211yescharacteristic
196C43×#477C2211yescharacteristic
197C43×#468C2211yescharacteristic
198C43×#465C2211yescharacteristic
199C43×#440C2211yescharacteristic
200C43×#435C2211yescharacteristic
201C43×#428C2211yescharacteristic
202C2×#107×C43C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C2×#10621900C2311yescharacteristic
207C22×Dic86C2311yescharacteristic
208C22×Dic86C2311yescharacteristic
209C22×Dic86C2311yescharacteristic
210C2×Q8×D43C2311yescharacteristic
211#13063358—24no—
212#13063354—24no—
213C2×Dic172—24no—
214C2×Dic172C2311yescharacteristic
215C2×Dic172C2311yescharacteristic
216C2×Dic172C2311yescharacteristic
217C2×Dic172C2311yescharacteristic
218C2×Dic172C2311yescharacteristic
219C2×Dic172C2311yescharacteristic
220C2×#10621885C2311yescharacteristic
221C2×#10621885C2311yescharacteristic
222C2×#10621873C2311yescharacteristic
223C2×#10621873C2311yescharacteristic
224C2×#10621873C2311yescharacteristic
225C2×#10621883C2311yescharacteristic
226C2×#10621883C2311yescharacteristic
227C2×#10621883C2311yescharacteristic
228C2×#10621884C2311yescharacteristic
229C2×#10621872C2311yescharacteristic
230C22×C43⋊C8C2311yescharacteristic
231C22×C43⋊C8C2311yescharacteristic
232C2×C8×D43C2311yescharacteristic
233#13063325C2311yescharacteristic
234#13063324—21no—
235#13063324—21no—
236#13063324—21no—
237#13063324—21no—
238#13063324—21no—
239#13063324C2311yescharacteristic
240#13063324C2311yescharacteristic
241#13063324C2311yescharacteristic
242#13063323—21no—
243#13063323—21no—
244#13063323C2311yescharacteristic
245#13063323C2311yescharacteristic
246#13063321—21no—
247#13063321C2311yescharacteristic
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063320—21no—
252#13063320D411yescharacteristic
253#13063319—21no—
254#13063318—21no—
255#13063318—21no—
256#13063318—21no—
257#13063318—21no—
258#13063318D411yescharacteristic
259#13063317—21no—
260#13063316—21no—
261#13063316—21no—
262#13063316—21no—
263#13063316C2311yescharacteristic
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#13063313C2311yescharacteristic
275#13063312—21no—
276#13063312C2311yescharacteristic
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063311—21no—
281#13063311—21no—
282#13063311D411yescharacteristic
283#13063310—21no—
284#13063310—21no—
285#13063309D411yescharacteristic
286#13063308—21no—
287#13063308—21no—
288#13063308—21no—
289#13063307—21no—
290#13063306—21no—
291#13063306D411yescharacteristic
292#13063305C2311yescharacteristic
293#13063305C2311yescharacteristic
294#13063305C2311yescharacteristic
295#13063304—21no—
296#13063304C2311yescharacteristic
297#13063304C2311yescharacteristic
298#13063304C2311yescharacteristic
299#13063303—21no—
300#13063303—21no—
301#13063303—21no—
302#13063303—21no—
303#13063303—21no—
304#13063302—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#13063300C2311yescharacteristic
314#13063299C2311yescharacteristic
315#13063298—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297—21no—
319#13063297—21no—
320#13063297D411yescharacteristic
321Q8×Dic43C2311yescharacteristic
322C4×Dic86—21no—
323C4×Dic86—21no—
324C4×Dic86—21no—
325C4×Dic86—21no—
326C4×Dic86—21no—
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330#13063290—21no—
331#13063290—21no—
332#13063290—21no—
333#13063290—21no—
334#13063290—21no—
335#13063290—21no—
336#13063290—21no—
337#13063290—21no—
338#13063290C2311yescharacteristic
339#13063290C2311yescharacteristic
340#13063290C2311yescharacteristic
341#13063290C2311yescharacteristic
342#13063290C2311yescharacteristic
343#13063290C2311yescharacteristic
344#13063290C2311yescharacteristic
345#13063290C2311yescharacteristic
346#13063290C2311yescharacteristic
347#13063290C2311yescharacteristic
348#13063290C2311yescharacteristic
349#13063290C2311yescharacteristic
350D4×Dic43—21no—
351D4×Dic43—21no—
352D4×Dic43C2311yescharacteristic
353#13063287C2311yescharacteristic
354#13063287C2311yescharacteristic
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
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(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366(C22⋊D43)⋊C4—21no—
367(C22⋊D43)⋊C4—21no—
368#13063284—21no—
369#13063284C2311yescharacteristic
370#13063283—21no—
371#13063283—21no—
372#13063283C2311yescharacteristic
373#13063282—21no—
374#13063282C2311yescharacteristic
375#13063281—21no—
376#13063281—21no—
377#13063281—21no—
378#13063281—21no—
379C2×Dic43⋊C4—21no—
380C2×Dic43⋊C4—21no—
381C2×Dic43⋊C4—21no—
382C4⋊C4×D43—21no—
383C4⋊C4×D43C2311yescharacteristic
384C2×C4×Dic43—21no—
385C2×C4×Dic43—21no—
386C2×C4×Dic43C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
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#13063250C2311yescharacteristic
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#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063246C2311yescharacteristic
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×#41×C43—21no—
439C2×SD16×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441C22×C8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443#126×C43—21no—
444#125×C43—21no—
445#125×C43C2311yescharacteristic
446#123×C43—21no—
447#123×C43—21no—
448#123×C43—21no—
449C22⋊Q8×C43—21no—
450C22⋊Q8×C43C2311yescharacteristic
451C22⋊Q8×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453#121×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
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#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#107×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481#41×C43—82no—
482C2×Q8×C43—21no—
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43C2×D411yescharacteristic
487C2×D4×C43C2411yescharacteristic
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43C2411yescharacteristic
493C22×C4×C43C2411yescharacteristic
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43C2×D411yescharacteristic
500C2×C22⋊D43C2×D411yescharacteristic
501C22×Dic43—21no—
502C22×Dic43—21no—
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506C22×Dic43C2×D411yescharacteristic
507C22×Dic43C2×D411yescharacteristic
508Q8×D43—22no—
509Q8×D43—41no—
510#10621900—22no—
511#10621900—41no—
512#10621900—82no—
513#10621898—22no—
514#10621898—41no—
515#10621898—82no—
516C2×D172—21no—
517C2×D172C2411yescharacteristic
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43C2411yescharacteristic
524C2×Dic86—22no—
525C2×Dic86—22no—
526C2×Dic86—22no—
527C2×Dic86—21no—
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×Dic86—41no—
537C2×Dic86C2×D411yescharacteristic
538C2×Dic86C2411yescharacteristic
539C2×Dic86C2411yescharacteristic
540C2×Dic86C2411yescharacteristic
541C2×Dic86C2411yescharacteristic
542C2×Dic86C2411yescharacteristic
543SD16×C43—22no—
544M16×C43—22no—
545C2×C8×C43—22no—
546C2×C8×C43C2411yescharacteristic
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
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×C43C2×D411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C22⋊C4×C43—21no—
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×C43C2411yescharacteristic
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43C2×D411yescharacteristic
584C22⋊Dic43C2×D411yescharacteristic
585C22⋊Dic43C2×D411yescharacteristic
586C22⋊Dic43C2×D411yescharacteristic
587#10621885—22no—
588#10621885—41no—
589#10621884—41no—
590#10621883—22no—
591#10621883—41no—
592#10621883—41no—
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⋊Dic43C2×D411yescharacteristic
615C4⋊Dic43C2×D411yescharacteristic
616C4⋊Dic43C2×D411yescharacteristic
617C4⋊Dic43C2411yescharacteristic
618C4⋊Dic43C2411yescharacteristic
619Dic43⋊C4—21no—
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
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⋊C4—21no—
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
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×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—22no—
681Dic172—22no—
682Dic172—41no—
683Dic172#4114yescomplemented
684#10621873—22no—
685#10621873—22no—
686#10621873—41no—
687#10621872—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43C22×D411yescharacteristic
691C23×C43C22×D411yescharacteristic
692C22×D43—21no—
693C22×D43C22×D411yescharacteristic
694Q8×C43—21no—
695Q8×C43—21no—
696Q8×C43—81no—
697D4×C43—22no—
698D4×C43—21no—
699D4×C43—21no—
700D4×C43—42no—
701D4×C43—81no—
702C2×C4×C43—21no—
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—42no—
714C2×C4×C43—42no—
715C2×C4×C43—81no—
716C2×C4×C43—81no—
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C2511yescharacteristic
722C22⋊D43—22no—
723C22⋊D43—22no—
724C22⋊D43—42no—
725C22⋊D43—42no—
726C22⋊D43—42no—
727C22⋊D43—42no—
728C22⋊D43—81no—
729C2×Dic43—22no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—22no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—42no—
739C2×Dic43—42no—
740C2×Dic43—42no—
741C2×Dic43—42no—
742C2×Dic43—81no—
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750D172—21no—
751D172—21no—
752D172—81no—
753C4×D43—21no—
754C4×D43—21no—
755C4×D43—42no—
756C4×D43—42no—
757C4×D43—81no—
758C4×D43—81no—
759C4×D43—81no—
760Dic86—21no—
761Dic86—21no—
762Dic86—22no—
763Dic86—21no—
764Dic86—21no—
765Dic86—21no—
766Dic86—21no—
767Dic86—21no—
768Dic86—21no—
769Dic86—42no—
770Dic86—42no—
771Dic86—42no—
772Dic86—42no—
773Dic86—42no—
774Dic86—81no—
775Dic86—81no—
776Dic86C2×#4112yes—
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#61499—431nomaximal, Sylow
787C22×C43—21no—
788C22×C43—21no—
789C22×C43—21no—
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—41no—
793C22×C43—41no—
794C22×C43—41no—
795C22×C43#57712yes—
796C22×C43C23×D411yescharacteristic
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—21no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—41no—
803C4×C43—21no—
804C4×C43—21no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43C22×#4111yescharacteristic
815C4×C43#58511yescharacteristic
816Dic43—22no—
817Dic43—22no—
818Dic43—21no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43#57812yes—
830#3523—431no—
831#3522—431no—
832#3400—431no—
833#3387—431no—
834#3365—431no—
835#3363—431no—
836#3356—431no—
837#3343—431no—
838#3343D4311yescharacteristic, complemented
839#3304—431no—
840#3300—431no—
841#3300—431no—
842#3299—431no—
843#3298—431no—
844#3298—431no—
845#3278—431no—
846#3270—431no—
847#3270—431no—
848#3178—431no—
849#3178—431no—
850#3167—431no—
851#3121—431no—
852#3121—431no—
853#3120—431no—
854#3120—431no—
855#3113—431no—
856#3112—431no—
857#2966—431no—
858#2947—431no—
859#2947—431no—
860C2×C4×Q16—431no—
861C2×C43—22no—
862C2×C43—41no—
863C2×C43—81no—
864C2×C43D4×#4111yescharacteristic
865C2×C43C2×#57711yescharacteristic
866C2×C43C2×#57811yescharacteristic
867D43—41no—
868D43—81no—
869C2×#137—431no—
870C2×#137—431no—
871C22×Q16—431no—
872#559—431no—
873#559—861no—
874Q82—431no—
875#557—431no—
876#557—431no—
877#557—861no—
878#556—431no—
879#556—861no—
880#554—431no—
881#554—861no—
882#552—431no—
883#552—861no—
884#552—861no—
885#552C2×D4311yescharacteristic
886#550—431no—
887D4×Q8—431no—
888D4×Q8—431no—
889D4×Q8—431no—
890#548—431no—
891#548—431no—
892#547—431no—
893#547—861no—
894#547—861no—
895#547C2×D4311yescharacteristic
896#542—431no—
897#542—431no—
898#542—861no—
899#542—861no—
900#541—431no—
901#541—431no—
902#541—861no—
903#541—861no—
904#533—431no—
905#533—861no—
906#532—431no—
907#532—861no—
908#529—431no—
909#529—861no—
910#529—861no—
911#520—431no—
912#520—431no—
913#519—431no—
914#519—431no—
915C2×C4×Q8—431no—
916C2×C4×Q8—431no—
917#501—431no—
918#501C2×D4311yescharacteristic
919#498—431no—
920#497—431no—
921#497—431no—
922#492—431no—
923#488—431no—
924#488—431no—
925#487—431no—
926#487—431no—
927#487—431no—
928#486—431no—
929#485—431no—
930#485—431no—
931#484—431no—
932#484C2×D4311yescharacteristic
933#483—431no—
934#483—431no—
935#483—431no—
936#483C2×D4311yescharacteristic
937#482—431no—
938#482C2×D4311yescharacteristic
939#480—431no—
940#480C2×D4311yescharacteristic
941#479—431no—
942#479—431no—
943#478—431no—
944#478C2×D4311yescharacteristic
945#477—431no—
946#477—431no—
947#477—431no—
948#477C2×D4311yescharacteristic
949#475—431no—
950#475—431no—
951#475—431no—
952#475—431no—
953#470—431no—
954#470—431no—
955#468—431no—
956#468C2×D4311yescharacteristic
957#467—431no—
958#467—431no—
959#465—431no—
960#465—431no—
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#462—431no—
970#462—431no—
971#462—431no—
972#462—431no—
973#461—431no—
974#461—431no—
975#460—431no—
976#460—431no—
977#452—431no—
978#452—431no—
979#452—431no—
980#452—431no—
981#451—431no—
982#451—431no—
983#451—431no—
984#451—431no—
985#448—431no—
986#448—431no—
987#448—431no—
988#448—431no—
989#446—431no—
990C8×Q8—431no—
991#441—431no—
992#441—431no—
993#441—431no—
994#441—431no—
995#441—431no—
996#441—431no—
997#440—431no—
998#440—431no—
999#440—431no—
1000#440—431no—
1001#440—431no—
1002#440C2×D4311yescharacteristic
1003C4×Q16—431no—
1004C4×Q16—431no—
1005C4×Q16—431no—
1006C4×Q16—431no—
1007C4×Q16—431no—
1008C4×Q16—431no—
1009C4×Q16—431no—
1010C4×Q16—431no—
1011C4×Q16—431no—
1012C4×Q16—431no—
1013C4×SD16—431no—
1014C4×SD16—431no—
1015C4×SD16—431no—
1016C4×SD16—431no—
1017C4×SD16—431no—
1018C4×SD16—431no—
1019#436—431no—
1020#435—431no—
1021#435C2×D4311yescharacteristic
1022C8×D4—431no—
1023C8×D4—431no—
1024C8×D4—431no—
1025#433—431no—
1026#433—431no—
1027#432—431no—
1028#428—431no—
1029#428C2×D4311yescharacteristic
1030C2×#107C2×D4311yescharacteristic
1031#416—431no—
1032#416—431no—
1033C2×#103—431no—
1034C2×#103—431no—
1035C2×#103—431no—
1036C2×#103—431no—
1037#405—431no—
1038#405—431no—
1039C2×C4×C8—431no—
1040C43#6149911yescharacteristic, complemented, Sylow
1041C2×#41—21no—
1042C2×#41—431no—
1043C2×#41—431no—
1044C2×#41—861no—
1045C2×#41—861no—
1046C22×Q8—431no—
1047C22×Q8—431no—
1048C22×Q8—431no—
1049C22×Q8—431no—
1050#137—864no—
1051#137—864no—
1052C2×Q16—431no—
1053C2×Q16—431no—
1054C2×Q16—431no—
1055C2×Q16—431no—
1056C2×Q16—431no—
1057C2×Q16—431no—
1058C2×Q16—431no—
1059C2×Q16—431no—
1060C2×Q16—864no—
1061C2×SD16—431no—
1062C2×SD16—431no—
1063C2×SD16—431no—
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—431no—
1068C2×SD16C22×D4311yescharacteristic
1069C2×M16—431no—
1070C2×M16C22×D4311yescharacteristic
1071C22×C8—431no—
1072C22×C8—431no—
1073C22×C8—431no—
1074C22×C8C22×D4311yescharacteristic
1075C4⋊Q8—431no—
1076C4⋊Q8—431no—
1077C4⋊Q8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081C4⋊Q8—861no—
1082C4⋊Q8—861no—
1083C4⋊Q8—861no—
1084C4⋊Q8—861no—
1085C4⋊Q8—861no—
1086C4⋊Q8—861no—
1087C4⋊Q8—861no—
1088C4⋊Q8C22×D4311yescharacteristic
1089#127—431no—
1090#127—861no—
1091#126—21no—
1092#126—431no—
1093#126—431no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#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#125C22×D4311yescharacteristic
1119#124—431no—
1120#124—431no—
1121#124—431no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—431no—
1133#123—431no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141C22⋊Q8—21no—
1142C22⋊Q8—431no—
1143C22⋊Q8—431no—
1144C22⋊Q8—431no—
1145C22⋊Q8—431no—
1146C22⋊Q8—431no—
1147C22⋊Q8—431no—
1148C22⋊Q8—431no—
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⋊Q8C22×D4311yescharacteristic
1164C22⋊Q8C22×D4311yescharacteristic
1165#121—431no—
1166#121—431no—
1167#121—431no—
1168#121—861no—
1169#121—861no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121C22×D4311yescharacteristic
1174#121C22×D4311yescharacteristic
1175C4×Q8—431no—
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—431no—
1190C4×Q8—431no—
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×Q8—861no—
1201C4×Q8—861no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8C22×D4311yescharacteristic
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4C22×D4311yescharacteristic
1224C4×D4C22×D4311yescharacteristic
1225#117—21no—
1226#117—431no—
1227#117—431no—
1228#117—431no—
1229#117—861no—
1230#117—861no—
1231#117—861no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117C22×D4311yescharacteristic
1238C2×C4⋊C4—431no—
1239C2×C4⋊C4—861no—
1240C2×C4⋊C4—861no—
1241C2×C4⋊C4—861no—
1242C2×C4⋊C4—861no—
1243C2×C4⋊C4C22×D4311yescharacteristic
1244C2×C4⋊C4C22×D4311yescharacteristic
1245C2×C4⋊C4C22×D4311yescharacteristic
1246C2×C42—431no—
1247C2×C42—861no—
1248C2×C42—861no—
1249#107—431no—
1250#107—431no—
1251#107C22×D4311yescharacteristic
1252#107C22×D4311yescharacteristic
1253#107C22×D4311yescharacteristic
1254#107C22×D4311yescharacteristic
1255#107C22×D4311yescharacteristic
1256#107C22×D4311yescharacteristic
1257#106—431no—
1258#106—431no—
1259#106—431no—
1260#106—431no—
1261#106—431no—
1262#106C22×D4311yescharacteristic
1263#106C22×D4311yescharacteristic
1264#106C22×D4311yescharacteristic
1265C4⋊C8—431no—
1266C4⋊C8—431no—
1267C4⋊C8—431no—
1268C4⋊C8—431no—
1269C4⋊C8—431no—
1270C4⋊C8C22×D4311yescharacteristic
1271#103—431no—
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#103—431no—
1291#103—431no—
1292#103C22×D4311yescharacteristic
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#102—431no—
1296#102—431no—
1297#102—431no—
1298#102—431no—
1299#102—431no—
1300#102C22×D4311yescharacteristic
1301#102C22×D4311yescharacteristic
1302#102C22×D4311yescharacteristic
1303C22⋊C8—431no—
1304C22⋊C8—431no—
1305C22⋊C8—431no—
1306C22⋊C8—431no—
1307C22⋊C8C22×D4311yescharacteristic
1308C22⋊C8C22×D4311yescharacteristic
1309#97—431no—
1310#97—431no—
1311#97—431no—
1312#97C22×D4311yescharacteristic
1313C4×C8—431no—
1314C4×C8—431no—
1315C4×C8—431no—
1316C4×C8—431no—
1317C4×C8—431no—
1318C4×C8—431no—
1319#41—82no—
1320#41—862no—
1321#41—862no—
1322#41—3442no—
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—431no—
1333C2×Q8—861no—
1334C2×Q8—861no—
1335C2×Q8—861no—
1336C2×Q8—861no—
1337C2×Q8—862no—
1338C2×Q8—862no—
1339C2×Q8—862no—
1340C2×Q8—861no—
1341C2×Q8—861no—
1342C2×Q8—861no—
1343C2×Q8—862no—
1344C2×Q8—1721no—
1345C2×Q8—1721no—
1346C2×Q8—1721no—
1347C2×Q8—1721no—
1348C2×Q8C23×D4311yescharacteristic
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—431no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—861no—
1355C2×D4—861no—
1356C2×D4—861no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4D4×D4311yescharacteristic
1361C2×D4C23×D4311yescharacteristic
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—431no—
1367C22×C4—431no—
1368C22×C4—431no—
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—861no—
1378C22×C4—861no—
1379C22×C4C23×D4311yescharacteristic
1380C22×C4C23×D4311yescharacteristic
1381Q16—434no—
1382Q16—862no—
1383Q16—862no—
1384Q16—862no—
1385Q16—862no—
1386Q16—862no—
1387Q16—1721no—
1388Q16—1721no—
1389SD16—22no—
1390SD16—862no—
1391SD16—862no—
1392SD16—862no—
1393SD16—1721no—
1394SD16—1721no—
1395SD16—1721no—
1396SD16—1721no—
1397M16—22no—
1398M16—862no—
1399C2×C8—22no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8—431no—
1404C2×C8—1721no—
1405C2×C8—1721no—
1406C2×C8—1721no—
1407C2×C8C23×D4311yescharacteristic
1408C2×C8C23×D4311yescharacteristic
1409C2×C8C23×D4311yescharacteristic
1410C2×C8C23×D4311yescharacteristic
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—431no—
1421C4⋊C4—431no—
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—861no—
1432C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1465C4⋊C4C23×D4311yescharacteristic
1466C4⋊C4C23×D4311yescharacteristic
1467C4⋊C4C23×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C4⋊C4C23×D4311yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—431no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4D4×D4311yescharacteristic
1502C22⋊C4D4×D4311yescharacteristic
1503C42—21no—
1504C42—21no—
1505C42—431no—
1506C42—431no—
1507C42—431no—
1508C42—431no—
1509C42—431no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42—861no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42C23×D4311yescharacteristic
1527C23—21no—
1528C23—431no—
1529C23—861no—
1530C23C2×D4×D4311yescharacteristic
1531C23C2×D4×D4311yescharacteristic
1532Q8—21no—
1533Q8—21no—
1534Q8—81no—
1535Q8—432no—
1536Q8—432no—
1537Q8—862no—
1538Q8—861no—
1539Q8—861no—
1540Q8—861no—
1541Q8—861no—
1542Q8—861no—
1543Q8—861no—
1544Q8—861no—
1545Q8—861no—
1546Q8—3441no—
1547Q8—3441no—
1548Q8—1722no—
1549Q8—1722no—
1550Q8—1722no—
1551Q8—1722no—
1552Q8—1722no—
1553D4—22no—
1554D4—21no—
1555D4—21no—
1556D4—42no—
1557D4—81no—
1558D4—862no—
1559D4—862no—
1560D4—861no—
1561D4—861no—
1562D4—3441no—
1563D4—3441no—
1564D4—1722no—
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—42no—
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—861no—
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×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C2×D4×D4311yescharacteristic
1614C2×C4C2×D4×D4311yescharacteristic
1615C2×C4C24×D4311yescharacteristic
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—861no—
1620C8—861no—
1621C8—861no—
1622C8—861no—
1623C8#41×D4312yes—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—861no—
1633C22—861no—
1634C22—861no—
1635C22—1721no—
1636C22—1721no—
1637C22—1721no—
1638C22#1458370912yes—
1639C22C22×D4×D4311yescharacteristic
1640C4—21no—
1641C4—21no—
1642C4—21no—
1643C4—21no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—432no—
1652C4—861no—
1653C4—861no—
1654C4—861no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—862no—
1659C4—862no—
1660C4—1721no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4C2×#41×D4311yescharacteristic
1666C4#1458373611yescharacteristic
1667C2—22no—
1668C2—41no—
1669C2—81no—
1670C2—3441no—
1671C2—1721no—
1672C2#1914808211yescharacteristic
1673C2C2×#1458370911yescharacteristic
1674C2#578×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3343C2
socleC22×C43C23×D4
prime radical#19148673C2
hypercenter#3343D43
hypocenterC43#61499
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3343

Complements

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

NH ≅ G/Ntype
1. #19148684C2semidirect
3. #19147649C2semidirect
4. #19147524C2semidirect
5. #19147294C2semidirect
6. #19147272C2semidirect
7. #19147206C2semidirect
8. #19147031C2semidirect
9. #19146532C2semidirect
10. #19146480C2semidirect
11. #19146476C2semidirect
12. #19146469C2semidirect
13. #19146458C2semidirect
14. #19146454C2semidirect
15. #19146258C2semidirect
16. #19146170C2semidirect
17. #19146162C2semidirect
18. #19145268C2semidirect
19. #19145256C2semidirect
20. #19145149C2semidirect
21. #19144829C2semidirect
22. #19144819C2semidirect
23. #19144814C2semidirect
24. #19144804C2semidirect
25. #19144722C2semidirect
26. #19144714C2semidirect
27. #19143565C2semidirect
28. #19143436C2semidirect
29. #19143435C2semidirect
30. C2×#14582993C2semidirect
31. C43×#3343C2semidirect
683. Dic172#41semidirect
838. #3343D43semidirect
1040. C43#61499semidirect

Maximal subgroups

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

subgroupindex
#191486842
#191486732
#191476492
#191475242
#191472942
#191472722
#191472062
#191470312
#191465322
#191464802
#191464762
#191464692
#191464582
#191464542
#191462582
#191461702
#191461622
#191452682
#191452562
#191451492
#191448292
#191448192
#191448142
#191448042
#191447222
#191447142
#191435652
#191434362
#191434352
C2×#145829932
C43×#33432
#6149943