Finite Group Databasebeta

← #25979417

Subgroups — #25979417

Order 11008.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148608C211yesmaximal, characteristic, complemented
2#19148563C211yesmaximal, characteristic, complemented
3#19147629C211yesmaximal, characteristic, complemented
4#19147500C211yesmaximal, characteristic, complemented
5#19147272C211yesmaximal, characteristic, complemented
6#19147239C211yesmaximal, characteristic, complemented
7#19147214C211yesmaximal, characteristic, complemented
8#19147122C211yesmaximal, characteristic, complemented
9#19147118C211yesmaximal, characteristic, complemented
10#19146516C211yesmaximal, characteristic, complemented
11#19146509C211yesmaximal, characteristic, complemented
12#19146505C211yesmaximal, characteristic, complemented
13#19146489C211yesmaximal, characteristic, complemented
14#19146480C211yesmaximal, characteristic, complemented
15#19146469C211yesmaximal, characteristic, complemented
16#19146239C211yesmaximal, characteristic, complemented
17#19146156C211yesmaximal, characteristic, complemented
18#19146148C211yesmaximal, characteristic, complemented
19#19145261C211yesmaximal, characteristic, complemented
20#19145257C211yesmaximal, characteristic, complemented
21#19145178C211yesmaximal, characteristic, complemented
22#19144896C211yesmaximal, characteristic, complemented
23#19144892C211yesmaximal, characteristic, complemented
24#19144853C211yesmaximal, characteristic, complemented
25#19144753C211yesmaximal, characteristic, complemented
26#19144753C211yesmaximal, characteristic, complemented
27#19143568C211yesmaximal, characteristic, complemented
28#19143435C211yesmaximal, characteristic, complemented
29#19143434C211yesmaximal, characteristic, complemented
30C4×#13063344C211yesmaximal, characteristic, complemented
31C43×#3124C211yesmaximal, characteristic, complemented
32C2×#13063355C2211yescharacteristic
33C2×#13063354C2211yescharacteristic
34C2×#13063344C2211yescharacteristic
35#14583629C2211yescharacteristic
36#14583627C2211yescharacteristic
37#14583623C2211yescharacteristic
38#14583620C2211yescharacteristic
39#14583618—21no—
40#14583618C2211yescharacteristic
41#14583616—21no—
42#14583616—21no—
43#14583613C2211yescharacteristic
44#14583611—21no—
45#14583608C2211yescharacteristic
46#14583604C2211yescharacteristic
47#14583598—21no—
48#14583590C2211yescharacteristic
49#14583589—21no—
50#14583584C2211yescharacteristic
51#14583582—21no—
52#14583582—21no—
53#14583562C2211yescharacteristic
54#14583557C2211yescharacteristic
55#14583555C2211yescharacteristic
56#14583553C2211yescharacteristic
57#14583548C2211yescharacteristic
58#14583548C2211yescharacteristic
59#14583519—21no—
60#14583517—21no—
61#14583514C2211yescharacteristic
62#14583511C2211yescharacteristic
63#14583507C2211yescharacteristic
64#14583496—21no—
65#14583491—21no—
66#14583453C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583451—21no—
69#14583429—21no—
70#14583427C2211yescharacteristic
71#14583426—21no—
72C2×#13063315—21no—
73#14583378C2211yescharacteristic
74#14583376C2211yescharacteristic
75#14583375C2211yescharacteristic
76C4×#10621900C2211yescharacteristic
77C4×#10621900C2211yescharacteristic
78#14583307C2211yescharacteristic
79#14583305C2211yescharacteristic
80#14583303C2211yescharacteristic
81#14583294C2211yescharacteristic
82#14583290C2211yescharacteristic
83#14583277C2211yescharacteristic
84#14583253C2211yescharacteristic
85#14583252C2211yescharacteristic
86#14583251C2211yescharacteristic
87#14583248C2211yescharacteristic
88#14583248C2211yescharacteristic
89#14583248C2211yescharacteristic
90#14583242C2211yescharacteristic
91#14583242C2211yescharacteristic
92#14583242C2211yescharacteristic
93#14583241C2211yescharacteristic
94#14583241C2211yescharacteristic
95#14583239C2211yescharacteristic
96#14583238C2211yescharacteristic
97#14583238C2211yescharacteristic
98#14583236C2211yescharacteristic
99#14583211C2211yescharacteristic
100#14583208C2211yescharacteristic
101#14583207C2211yescharacteristic
102#14583207C2211yescharacteristic
103#14583205C2211yescharacteristic
104#14583193C2211yescharacteristic
105#14583193C2211yescharacteristic
106#14583193C2211yescharacteristic
107#14583187C2211yescharacteristic
108#14583187C2211yescharacteristic
109#14583177C2211yescharacteristic
110#14583156C2211yescharacteristic
111#14583155C2211yescharacteristic
112#14583144C2211yescharacteristic
113#14583143C2211yescharacteristic
114#14583141C2211yescharacteristic
115#14583141C2211yescharacteristic
116#14583139C2211yescharacteristic
117#14583139C2211yescharacteristic
118#14583138C2211yescharacteristic
119#14583137C2211yescharacteristic
120#14583126C2211yescharacteristic
121#14583125C2211yescharacteristic
122#14583120C2211yescharacteristic
123#14583112C2211yescharacteristic
124#14583110C2211yescharacteristic
125#14583110C2211yescharacteristic
126#14583108C2211yescharacteristic
127#14583108C2211yescharacteristic
128#14583108C2211yescharacteristic
129#14583107C2211yescharacteristic
130#14583102C2211yescharacteristic
131#14583102C2211yescharacteristic
132#14583062C2211yescharacteristic
133#14583062C2211yescharacteristic
134#14583062C2211yescharacteristic
135#14583058C2211yescharacteristic
136#14583058C2211yescharacteristic
137#14583057C2211yescharacteristic
138#14583057C2211yescharacteristic
139#14583056C2211yescharacteristic
140#14583053C2211yescharacteristic
141#14583041C2211yescharacteristic
142#14583028C2211yescharacteristic
143#14583023C2211yescharacteristic
144#14583007C2211yescharacteristic
145#14583007C2211yescharacteristic
146#14583004C2211yescharacteristic
147#14583004C2211yescharacteristic
148#14583004C2211yescharacteristic
149#14583003C2211yescharacteristic
150#14582999C2211yescharacteristic
151#14582999C2211yescharacteristic
152#14582999C2211yescharacteristic
153#14582996C2211yescharacteristic
154C4×Dic172C2211yescharacteristic
155C4×Dic172C2211yescharacteristic
156#14582993C2211yescharacteristic
157#14582993C2211yescharacteristic
158C4×#10621885C2211yescharacteristic
159C4×#10621885C2211yescharacteristic
160C4×#10621885C2211yescharacteristic
161#14582990C2211yescharacteristic
162#14582990C2211yescharacteristic
163SD16×Dic43C2211yescharacteristic
164C4×#10621883C2211yescharacteristic
165C4×#10621883C2211yescharacteristic
166C4×#10621883C2211yescharacteristic
167D8×Dic43C2211yescharacteristic
168#14582974C2211yescharacteristic
169#14582973C2211yescharacteristic
170#14582969C2211yescharacteristic
171#14582964C2211yescharacteristic
172(C22⋊D43)⋊C8C2211yescharacteristic
173(C22⋊D43)⋊C8C2211yescharacteristic
174#14582958C2211yescharacteristic
175#14582954C2211yescharacteristic
176#14582940C2211yescharacteristic
177#14582939C2211yescharacteristic
178#14582936C2211yescharacteristic
179#14582895C2211yescharacteristic
180#14582892C2211yescharacteristic
181#14582892C2211yescharacteristic
182#14582892C2211yescharacteristic
183C2×#13063248C2211yescharacteristic
184#103×D43C2211yescharacteristic
185#14582856C2211yescharacteristic
186#14582855C2211yescharacteristic
187C4×C8×D43C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#520C2211yescharacteristic
190C43×#484C2211yescharacteristic
191C43×#480C2211yescharacteristic
192C43×#477C2211yescharacteristic
193C43×#474C2211yescharacteristic
194C43×#464C2211yescharacteristic
195C43×#463C2211yescharacteristic
196C43×#452C2211yescharacteristic
197C43×#449C2211yescharacteristic
198C43×#440C2211yescharacteristic
199C43×#440C2211yescharacteristic
200C4×Q16×C43C2211yescharacteristic
201C4×D8×C43C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621900C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C22×Dic86C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208#13063355—24no—
209#13063354—24no—
210#13063344—24no—
211C2×Dic172C2311yescharacteristic
212C2×Dic172C2311yescharacteristic
213C2×Dic172C2311yescharacteristic
214C2×Dic172C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621885C2311yescharacteristic
218C2×#10621885C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621877C2311yescharacteristic
224C2×#10621872C2311yescharacteristic
225C22×C43⋊C8C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229#13063325C2311yescharacteristic
230#13063324—21no—
231#13063324—21no—
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063323—21no—
236#13063323—21no—
237#13063323C2311yescharacteristic
238#13063323C2311yescharacteristic
239#13063323C2311yescharacteristic
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320D411yescharacteristic
246#13063319—21no—
247#13063319—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063318—21no—
254#13063318D411yescharacteristic
255#13063317—21no—
256#13063317—21no—
257#13063317C2311yescharacteristic
258#13063316C2311yescharacteristic
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063315—21no—
263#13063315—21no—
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063315D411yescharacteristic
270#13063314—21no—
271#13063312—21no—
272#13063312C2311yescharacteristic
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063311—21no—
277#13063311—21no—
278#13063311D411yescharacteristic
279#13063310—21no—
280#13063310D411yescharacteristic
281#13063309—21no—
282#13063309—21no—
283#13063308—21no—
284#13063308—21no—
285#13063308—21no—
286#13063308—21no—
287#13063307D411yescharacteristic
288#13063306—21no—
289#13063306—21no—
290#13063305C2311yescharacteristic
291#13063305C2311yescharacteristic
292#13063305C2311yescharacteristic
293#13063305C2311yescharacteristic
294#13063304—21no—
295#13063304—21no—
296#13063304—21no—
297#13063304C2311yescharacteristic
298#13063304C2311yescharacteristic
299#13063303—21no—
300#13063303—21no—
301#13063303—21no—
302#13063303—21no—
303#13063303D411yescharacteristic
304#13063302—21no—
305#13063302—21no—
306#13063302—21no—
307#13063302—21no—
308#13063302—21no—
309#13063302—21no—
310#13063301C2311yescharacteristic
311#13063301C2311yescharacteristic
312#13063301C2311yescharacteristic
313#13063299—21no—
314#13063298—21no—
315#13063298D411yescharacteristic
316#13063297—21no—
317#13063297—21no—
318#13063297—21no—
319#13063297—21no—
320#13063296C2311yescharacteristic
321Q8×Dic43—21no—
322Q8×Dic43C2311yescharacteristic
323C4×Dic86—21no—
324C4×Dic86—21no—
325C4×Dic86—21no—
326C4×Dic86—21no—
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333C4×Dic86C2311yescharacteristic
334#13063290—21no—
335#13063290—21no—
336#13063290—21no—
337#13063290—21no—
338#13063290—21no—
339#13063290C2311yescharacteristic
340#13063290C2311yescharacteristic
341#13063290C2311yescharacteristic
342#13063290C2311yescharacteristic
343C4×D172C2311yescharacteristic
344D4×Dic43—21no—
345D4×Dic43C2311yescharacteristic
346D4×Dic43C2311yescharacteristic
347D4×Dic43C2311yescharacteristic
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43C2311yescharacteristic
353C4×C22⋊D43C2311yescharacteristic
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359#13063284—21no—
360#13063284C2311yescharacteristic
361#13063283—21no—
362#13063283C2311yescharacteristic
363#13063283C2311yescharacteristic
364#13063283C2311yescharacteristic
365#13063282—21no—
366#13063282—21no—
367#13063282—21no—
368#13063282—21no—
369#13063282C2311yescharacteristic
370#13063281—21no—
371#13063281—21no—
372#13063281—21no—
373#13063281—21no—
374#13063281—21no—
375#13063281—21no—
376#13063281—21no—
377C2×C4⋊Dic43—21no—
378C2×Dic43⋊C4—21no—
379C2×Dic43⋊C4—21no—
380C2×Dic43⋊C4—21no—
381C2×Dic43⋊C4—21no—
382C4⋊C4×D43C2311yescharacteristic
383C2×C4×Dic43—21no—
384C2×C4×Dic43—21no—
385C42×D43C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063235C2311yescharacteristic
433C4×C43⋊C8C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C4⋊Q8×C43C2311yescharacteristic
444#126×C43—21no—
445#124×C43—21no—
446#124×C43C2311yescharacteristic
447#123×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×D4×C43—21no—
455C4×D4×C43—21no—
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#117×C43—21no—
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43—21no—
462C2×C4⋊C4×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481#41×C43—22no—
482#41×C43—41no—
483C2×Q8×C43—21no—
484C2×Q8×C43C2411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43C2411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43C2411yescharacteristic
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43C2×D411yescharacteristic
501C2×C22⋊D43C2×D411yescharacteristic
502C22×Dic43—21no—
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509Q8×D43—22no—
510Q8×D43—41no—
511#10621900—22no—
512#10621900—22no—
513#10621900—22no—
514#10621900—41no—
515#10621900—41no—
516#10621900—41no—
517C2×D172C2×D411yescharacteristic
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43C2×D411yescharacteristic
521C2×C4×D43C2×D411yescharacteristic
522C2×C4×D43C2411yescharacteristic
523C2×C4×D43C2411yescharacteristic
524C2×Dic86—22no—
525C2×Dic86—21no—
526C2×Dic86—21no—
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—41no—
531C2×Dic86C2×D411yescharacteristic
532C2×Dic86C2411yescharacteristic
533C2×Dic86C2411yescharacteristic
534C2×Dic86C2411yescharacteristic
535C2×Dic86C2411yescharacteristic
536Q16×C43—41no—
537SD16×C43—22no—
538SD16×C43—41no—
539D8×C43—22no—
540C2×C8×C43C2411yescharacteristic
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C2×C8×C43C2411yescharacteristic
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—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43C2×D411yescharacteristic
580C22⋊Dic43C2×D411yescharacteristic
581#10621885—22no—
582#10621885—22no—
583#10621885—22no—
584#10621885—41no—
585#10621883—22no—
586#10621883—22no—
587#10621883—41no—
588#10621883#4114yes—
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)⋊C4C2×D411yescharacteristic
600(C2×D43)⋊C4C2×D411yescharacteristic
601(C2×D43)⋊C4C2×D411yescharacteristic
602(C2×D43)⋊C4C2×D411yescharacteristic
603(C2×D43)⋊C4C2×D411yescharacteristic
604(C2×D43)⋊C4C2×D411yescharacteristic
605C4⋊Dic43—21no—
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43C2×D411yescharacteristic
614C4⋊Dic43C2×D411yescharacteristic
615C4⋊Dic43C2411yescharacteristic
616C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
668C4×Dic43C2×D411yescharacteristic
669C4×Dic43C2×D411yescharacteristic
670C4×Dic43C2411yescharacteristic
671C4×Dic43C2411yescharacteristic
672#10621877—22no—
673C2×C43⋊C8—41no—
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678Dic172—22no—
679Dic172—22no—
680Dic172—41no—
681Dic172—41no—
682#10621872—22no—
683C8×D43—22no—
684C8×D43—41no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43C22×D411yescharacteristic
689C22×D43C22×D411yescharacteristic
690C22×D43C22×D411yescharacteristic
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—81no—
696D4×C43—21no—
697D4×C43—21no—
698D4×C43—21no—
699D4×C43—42no—
700D4×C43—81no—
701D4×C43C2×#4112yes—
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—42no—
711C2×C4×C43—81no—
712C2×C4×C43—81no—
713C2×C4×C43—81no—
714C2×C4×C43—81no—
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C2511yescharacteristic
721C22⋊D43—22no—
722C22⋊D43—41no—
723C22⋊D43—42no—
724C22⋊D43—42no—
725C22⋊D43—42no—
726C22⋊D43—81no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—42no—
736C2×Dic43—42no—
737C2×Dic43—42no—
738C2×Dic43—42no—
739C2×Dic43—42no—
740C2×Dic43—42no—
741C2×Dic43—81no—
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748D172—41no—
749C4×D43—21no—
750C4×D43—21no—
751C4×D43—21no—
752C4×D43—21no—
753C4×D43—22no—
754C4×D43—41no—
755C4×D43—42no—
756C4×D43—81no—
757Dic86—21no—
758Dic86—22no—
759Dic86—21no—
760Dic86—21no—
761Dic86—21no—
762Dic86—21no—
763Dic86—21no—
764Dic86—21no—
765Dic86—42no—
766Dic86—42no—
767Dic86—81no—
768Dic86—81no—
769Dic86—81no—
770Dic86C2×#4112yes—
771C8×C43—21no—
772C8×C43—21no—
773C8×C43—21no—
774C8×C43—21no—
775C43⋊C8—21no—
776C43⋊C8—21no—
777C43⋊C8—21no—
778C43⋊C8C2×#4112yes—
779#61492—431nomaximal, Sylow
780C22×C43—21no—
781C22×C43—22no—
782C22×C43—21no—
783C22×C43—21no—
784C22×C43—41no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43C23×D411yescharacteristic
790C2×D43—21no—
791C2×D43—21no—
792C2×D43—21no—
793C2×D43—21no—
794C2×D43—21no—
795C2×D43—21no—
796C4×C43—21no—
797C4×C43—21no—
798C4×C43—21no—
799C4×C43—21no—
800C4×C43—21no—
801C4×C43—41no—
802C4×C43—41no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43C22×#4111yescharacteristic
808C4×C43#58511yescharacteristic
809Dic43—21no—
810Dic43—21no—
811Dic43—22no—
812Dic43—21no—
813Dic43—21no—
814Dic43—21no—
815Dic43—41no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43#57812yes—
823#3518—431no—
824#3515—431no—
825#3398—431no—
826#3385—431no—
827#3363—431no—
828#3360—431no—
829#3357—431no—
830#3349—431no—
831#3349—431no—
832#3303—431no—
833#3302—431no—
834#3302—431no—
835#3300—431no—
836#3300—431no—
837#3299—431no—
838#3276—431no—
839#3269—431no—
840#3269—431no—
841#3178—431no—
842#3178—431no—
843#3170—431no—
844#3127—431no—
845#3127—431no—
846#3124—431no—
847#3124D4311yescharacteristic, complemented
848#3116—431no—
849#3116—431no—
850#2966—431no—
851#2947—431no—
852#2947—431no—
853C4×#135—431no—
854C2×C43—41no—
855C2×C43—42no—
856C2×C43—81no—
857C2×C43D4×#4111yescharacteristic
858C2×C43C2×#57811yescharacteristic
859C2×C43#358411yescharacteristic
860D43—41no—
861D43—41no—
862C2×#137—431no—
863C2×#137—431no—
864C2×#135—431no—
865Q82—431no—
866#557—431no—
867#556—431no—
868#556—431no—
869#556—431no—
870#556—861no—
871#556—861no—
872#556—861no—
873#555—431no—
874#555—861no—
875#554—431no—
876#554—431no—
877#553—861no—
878#552—431no—
879#552—431no—
880#552—861no—
881#552—861no—
882#552—861no—
883D4×Q8—431no—
884#548—431no—
885#548—431no—
886#547—431no—
887#547—431no—
888#547—431no—
889#542—431no—
890#542—861no—
891#542—861no—
892#542C2×D4311yescharacteristic
893#541—431no—
894#541—431no—
895#539—861no—
896#539—861no—
897#533—431no—
898#533—431no—
899#533—861no—
900#529—431no—
901#529—861no—
902#529—861no—
903C2×#125—861no—
904#520—431no—
905#520C2×D4311yescharacteristic
906#519—431no—
907#519—431no—
908C4×#41—431no—
909C4×#41—431no—
910#501—431no—
911#501—431no—
912#500—431no—
913#497—431no—
914#497—431no—
915#494—431no—
916#488—431no—
917#488—431no—
918#487—431no—
919#487—431no—
920#487—431no—
921#487—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485—431no—
926#485—431no—
927#485—431no—
928#485—431no—
929#485—431no—
930#484—431no—
931#484C2×D4311yescharacteristic
932#480—431no—
933#480C2×D4311yescharacteristic
934#479—431no—
935#479—431no—
936#479—431no—
937#479—431no—
938#477—431no—
939#477—431no—
940#477—431no—
941#477C2×D4311yescharacteristic
942#476—431no—
943#476—431no—
944#474—431no—
945#474C2×D4311yescharacteristic
946#470—431no—
947#470—431no—
948#468—431no—
949#468—431no—
950#467—431no—
951#467—431no—
952#467—431no—
953#467—431no—
954#467—431no—
955#467—431no—
956#465—431no—
957#465—431no—
958#464—431no—
959#464C2×D4311yescharacteristic
960#463—431no—
961#463C2×D4311yescharacteristic
962#462—431no—
963#462—431no—
964#462—431no—
965#462—431no—
966#462—431no—
967#462—431no—
968#461—431no—
969#461—431no—
970#452—431no—
971#452—431no—
972#452—431no—
973#452—431no—
974#452—431no—
975#452C2×D4311yescharacteristic
976#451—431no—
977#451—431no—
978#451—431no—
979#451—431no—
980#449—431no—
981#449C2×D4311yescharacteristic
982#446—431no—
983C8×Q8—431no—
984#441—431no—
985#441—431no—
986#441—431no—
987#441—431no—
988#441—431no—
989#441—431no—
990#440—431no—
991#440—431no—
992#440—431no—
993#440—431no—
994#440C2×D4311yescharacteristic
995#440C2×D4311yescharacteristic
996C4×Q16—431no—
997C4×Q16—431no—
998C4×Q16—431no—
999C4×Q16—431no—
1000C4×Q16—431no—
1001C4×Q16—431no—
1002C4×Q16—431no—
1003C4×Q16C2×D4311yescharacteristic
1004C4×SD16—431no—
1005C4×SD16—431no—
1006C4×SD16—431no—
1007C4×SD16—431no—
1008C4×SD16—431no—
1009C4×SD16—431no—
1010C4×D8—431no—
1011C4×D8C2×D4311yescharacteristic
1012#436—431no—
1013#435—431no—
1014#435—431no—
1015C8×D4—431no—
1016C8×D4—431no—
1017C8×D4—431no—
1018#433—431no—
1019#433C2×D4311yescharacteristic
1020#432—431no—
1021#428—431no—
1022#428—431no—
1023#427—431no—
1024#416—431no—
1025#416—431no—
1026#416—431no—
1027#416—431no—
1028C2×#103—431no—
1029C2×#103—431no—
1030#405—431no—
1031#405—431no—
1032C2×C4×C8—431no—
1033C43#6149211yescharacteristic, complemented, Sylow
1034C2×#41—431no—
1035C2×#41—431no—
1036C2×#41—431no—
1037C2×#41C22×D4311yescharacteristic
1038C22×Q8—431no—
1039C22×Q8—431no—
1040#137—864no—
1041#137—864no—
1042#135—864no—
1043C2×Q16—431no—
1044C2×Q16—431no—
1045C2×Q16—431no—
1046C2×Q16—431no—
1047C2×Q16—431no—
1048C2×Q16—431no—
1049C2×Q16—431no—
1050C2×Q16—431no—
1051C2×Q16C22×D4311yescharacteristic
1052C2×SD16—431no—
1053C2×SD16—431no—
1054C2×SD16—431no—
1055C2×SD16—431no—
1056C2×SD16C22×D4311yescharacteristic
1057C2×SD16C22×D4311yescharacteristic
1058C2×D8C22×D4311yescharacteristic
1059C2×M16—431no—
1060C2×M16—431no—
1061C22×C8—431no—
1062C22×C8—431no—
1063C22×C8—431no—
1064C22×C8—431no—
1065C4⋊Q8—431no—
1066C4⋊Q8—431no—
1067C4⋊Q8—431no—
1068C4⋊Q8—431no—
1069C4⋊Q8—431no—
1070C4⋊Q8—431no—
1071C4⋊Q8—431no—
1072C4⋊Q8—861no—
1073C4⋊Q8—861no—
1074C4⋊Q8—861no—
1075C4⋊Q8—861no—
1076C4⋊Q8C22×D4311yescharacteristic
1077#126—21no—
1078#126—431no—
1079#126—431no—
1080#126—861no—
1081#126—861no—
1082#126—861no—
1083#126—861no—
1084#126—861no—
1085#126—861no—
1086#126—861no—
1087#126—861no—
1088#126—861no—
1089#126—861no—
1090#126—861no—
1091#126—861no—
1092#126—861no—
1093#125—431no—
1094#125—431no—
1095#125—431no—
1096#125—861no—
1097#125—861no—
1098#125—861no—
1099#125—861no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
1105#125—861no—
1106#125—861no—
1107#125—861no—
1108#124—21no—
1109#124—431no—
1110#124—431no—
1111#124—861no—
1112#124—861no—
1113#124—861no—
1114#124—861no—
1115#124—861no—
1116#124—861no—
1117#124—861no—
1118#124C22×D4311yescharacteristic
1119#123—21no—
1120#123—431no—
1121#123—431no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128#123—861no—
1129#123—861no—
1130#123—861no—
1131C22⋊Q8—21no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—431no—
1137C22⋊Q8—431no—
1138C22⋊Q8—431no—
1139C22⋊Q8—431no—
1140C22⋊Q8—431no—
1141C22⋊Q8—431no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
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⋊Q8C22×D4311yescharacteristic
1156#121—431no—
1157#121—431no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121C22×D4311yescharacteristic
1165C4×Q8—431no—
1166C4×Q8—431no—
1167C4×Q8—431no—
1168C4×Q8—431no—
1169C4×Q8—431no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—431no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8—861no—
1185C4×Q8—861no—
1186C4×Q8—861no—
1187C4×Q8C22×D4311yescharacteristic
1188C4×Q8C22×D4311yescharacteristic
1189C4×Q8C22×D4311yescharacteristic
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—431no—
1193C4×D4—431no—
1194C4×D4—431no—
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4C22×D4311yescharacteristic
1209C4×D4C22×D4311yescharacteristic
1210C4×D4C22×D4311yescharacteristic
1211#117—21no—
1212#117—431no—
1213#117—431no—
1214#117—431no—
1215#117—431no—
1216#117—431no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220#117—861no—
1221#117—861no—
1222#117—861no—
1223#117—861no—
1224#117—861no—
1225#117—861no—
1226#117—861no—
1227#117—861no—
1228#117—861no—
1229#117—861no—
1230#117C22×D4311yescharacteristic
1231C2×C4⋊C4—21no—
1232C2×C4⋊C4—431no—
1233C2×C4⋊C4—861no—
1234C2×C4⋊C4—861no—
1235C2×C4⋊C4—861no—
1236C2×C4⋊C4—861no—
1237C2×C4⋊C4—861no—
1238C2×C4⋊C4C22×D4311yescharacteristic
1239C2×C42—431no—
1240C2×C42—861no—
1241C2×C42—861no—
1242#107—431no—
1243#107—431no—
1244#107—431no—
1245#107—431no—
1246#107—431no—
1247#107—431no—
1248#107C22×D4311yescharacteristic
1249#107C22×D4311yescharacteristic
1250#107C22×D4311yescharacteristic
1251#107C22×D4311yescharacteristic
1252#106—431no—
1253#106—431no—
1254#106—431no—
1255#106—431no—
1256#106—431no—
1257#106—431no—
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8C22×D4311yescharacteristic
1263C4⋊C8C22×D4311yescharacteristic
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#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#103C22×D4311yescharacteristic
1285#103C22×D4311yescharacteristic
1286#103C22×D4311yescharacteristic
1287#103C22×D4311yescharacteristic
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102C22×D4311yescharacteristic
1293#102C22×D4311yescharacteristic
1294#102C22×D4311yescharacteristic
1295#102C22×D4311yescharacteristic
1296C22⋊C8—431no—
1297C22⋊C8—431no—
1298C22⋊C8—431no—
1299C22⋊C8—431no—
1300C22⋊C8C22×D4311yescharacteristic
1301C22⋊C8C22×D4311yescharacteristic
1302#97—431no—
1303#97—431no—
1304#97—431no—
1305#97C22×D4311yescharacteristic
1306C4×C8—431no—
1307C4×C8—431no—
1308C4×C8—431no—
1309C4×C8—431no—
1310C4×C8—431no—
1311C4×C8C22×D4311yescharacteristic
1312#41—22no—
1313#41—41no—
1314#41—862no—
1315#41—862no—
1316#41—862no—
1317#41—1721no—
1318#41—1721no—
1319#41—1721no—
1320C2×Q8—21no—
1321C2×Q8—431no—
1322C2×Q8—431no—
1323C2×Q8—431no—
1324C2×Q8—431no—
1325C2×Q8—431no—
1326C2×Q8—861no—
1327C2×Q8—861no—
1328C2×Q8—861no—
1329C2×Q8—861no—
1330C2×Q8—862no—
1331C2×Q8—861no—
1332C2×Q8—862no—
1333C2×Q8—1721no—
1334C2×Q8—1721no—
1335C2×Q8C23×D4311yescharacteristic
1336C2×Q8C23×D4311yescharacteristic
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—431no—
1340C2×D4—431no—
1341C2×D4—431no—
1342C2×D4—861no—
1343C2×D4—861no—
1344C2×D4—861no—
1345C2×D4—861no—
1346C2×D4C23×D4311yescharacteristic
1347C2×D4C23×D4311yescharacteristic
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—431no—
1354C22×C4—431no—
1355C22×C4—431no—
1356C22×C4—431no—
1357C22×C4—861no—
1358C22×C4—861no—
1359C22×C4—861no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4C23×D4311yescharacteristic
1367Q16—41no—
1368Q16—862no—
1369Q16—862no—
1370Q16—862no—
1371Q16—862no—
1372Q16—862no—
1373Q16—1721no—
1374Q16—1721no—
1375Q16—1721no—
1376SD16—22no—
1377SD16—41no—
1378SD16—434no—
1379SD16—862no—
1380SD16—862no—
1381SD16—1721no—
1382D8—22no—
1383M16—862no—
1384M16—862no—
1385C2×C8—431no—
1386C2×C8—431no—
1387C2×C8—431no—
1388C2×C8—431no—
1389C2×C8—862no—
1390C2×C8—1721no—
1391C2×C8—1721no—
1392C2×C8—1721no—
1393C2×C8C23×D4311yescharacteristic
1394C2×C8C23×D4311yescharacteristic
1395C2×C8C23×D4311yescharacteristic
1396C2×C8C23×D4311yescharacteristic
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—431no—
1404C4⋊C4—431no—
1405C4⋊C4—431no—
1406C4⋊C4—431no—
1407C4⋊C4—431no—
1408C4⋊C4—431no—
1409C4⋊C4—431no—
1410C4⋊C4—431no—
1411C4⋊C4—431no—
1412C4⋊C4—431no—
1413C4⋊C4—431no—
1414C4⋊C4—431no—
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⋊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⋊C4D4×D4311yescharacteristic
1452C4⋊C4D4×D4311yescharacteristic
1453C4⋊C4C23×D4311yescharacteristic
1454C4⋊C4C23×D4311yescharacteristic
1455C4⋊C4C23×D4311yescharacteristic
1456C4⋊C4C23×D4311yescharacteristic
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—431no—
1465C22⋊C4—431no—
1466C22⋊C4—431no—
1467C22⋊C4—431no—
1468C22⋊C4—431no—
1469C22⋊C4—431no—
1470C22⋊C4—431no—
1471C22⋊C4—431no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4D4×D4311yescharacteristic
1492C22⋊C4D4×D4311yescharacteristic
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—431no—
1497C42—431no—
1498C42—431no—
1499C42—431no—
1500C42—861no—
1501C42—861no—
1502C42—861no—
1503C42—861no—
1504C42—861no—
1505C42—861no—
1506C42—861no—
1507C42—861no—
1508C42—861no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42C23×D4311yescharacteristic
1516C42C23×D4311yescharacteristic
1517C23—21no—
1518C23—21no—
1519C23—431no—
1520C23—431no—
1521C23C2×D4×D4311yescharacteristic
1522Q8—21no—
1523Q8—21no—
1524Q8—21no—
1525Q8—21no—
1526Q8—81no—
1527Q8—432no—
1528Q8—862no—
1529Q8—861no—
1530Q8—861no—
1531Q8—861no—
1532Q8—861no—
1533Q8—861no—
1534Q8—861no—
1535Q8—861no—
1536Q8—3441no—
1537Q8—3441no—
1538Q8—3441no—
1539Q8—1722no—
1540Q8—1722no—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—42no—
1545D4—81no—
1546D4—862no—
1547D4—3441no—
1548D4—1721no—
1549D4—1721no—
1550D4—1722no—
1551D4—1722no—
1552D4—1722no—
1553D4#41×D4312yes—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—42no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—431no—
1568C2×C4—431no—
1569C2×C4—431no—
1570C2×C4—431no—
1571C2×C4—431no—
1572C2×C4—431no—
1573C2×C4—862no—
1574C2×C4—861no—
1575C2×C4—861no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—861no—
1580C2×C4—861no—
1581C2×C4—861no—
1582C2×C4—861no—
1583C2×C4—861no—
1584C2×C4—861no—
1585C2×C4—861no—
1586C2×C4—3441no—
1587C2×C4—3441no—
1588C2×C4—1721no—
1589C2×C4—1722no—
1590C2×C4—1722no—
1591C2×C4—1722no—
1592C2×C4—1722no—
1593C2×C4—1722no—
1594C2×C4—1722no—
1595C2×C4—1722no—
1596C2×C4C2×D4×D4311yescharacteristic
1597C2×C4C2×D4×D4311yescharacteristic
1598C2×C4C2×D4×D4311yescharacteristic
1599C2×C4C2×D4×D4311yescharacteristic
1600C2×C4C2×D4×D4311yescharacteristic
1601C2×C4C24×D4311yescharacteristic
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C8—432no—
1607C8—861no—
1608C8—861no—
1609C8—861no—
1610C22—21no—
1611C22—21no—
1612C22—22no—
1613C22—21no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—861no—
1620C22—861no—
1621C22—861no—
1622C22—861no—
1623C22—861no—
1624C22—861no—
1625C22C22×D4×D4311yescharacteristic
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—432no—
1638C4—861no—
1639C4—861no—
1640C4—861no—
1641C4—862no—
1642C4—861no—
1643C4—861no—
1644C4—1721no—
1645C4—1721no—
1646C4—1721no—
1647C4—1721no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4C2×#41×D4311yescharacteristic
1652C4#1458373511yescharacteristic
1653C2—41no—
1654C2—42no—
1655C2—81no—
1656C2—1721no—
1657C2—1721no—
1658C2#1914807811yescharacteristic
1659C2#578×D4311yescharacteristic
1660C2#1914936311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3124C2
socleC22×C43C23×D4
hypercenter#3124D43
hypocenterC43#61492
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3124

Complements

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

NH ≅ G/Ntype
1. #19148608C2semidirect
2. #19148563C2semidirect
3. #19147629C2semidirect
4. #19147500C2semidirect
5. #19147272C2semidirect
6. #19147239C2semidirect
7. #19147214C2semidirect
8. #19147122C2semidirect
9. #19147118C2semidirect
10. #19146516C2semidirect
11. #19146509C2semidirect
12. #19146505C2semidirect
13. #19146489C2semidirect
14. #19146480C2semidirect
15. #19146469C2semidirect
16. #19146239C2semidirect
17. #19146156C2semidirect
18. #19146148C2semidirect
19. #19145261C2semidirect
20. #19145257C2semidirect
21. #19145178C2semidirect
22. #19144896C2semidirect
23. #19144892C2semidirect
24. #19144853C2semidirect
25. #19144753C2semidirect
26. #19144753C2semidirect
27. #19143568C2semidirect
28. #19143435C2semidirect
29. #19143434C2semidirect
30. C4×#13063344C2semidirect
31. C43×#3124C2semidirect
847. #3124D43semidirect
1033. C43#61492semidirect

Maximal subgroups

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

subgroupindex
#191486082
#191485632
#191476292
#191475002
#191472722
#191472392
#191472142
#191471222
#191471182
#191465162
#191465092
#191465052
#191464892
#191464802
#191464692
#191462392
#191461562
#191461482
#191452612
#191452572
#191451782
#191448962
#191448922
#191448532
#191447532
#191435682
#191434352
#191434342
C4×#130633442
C43×#31242
#6149243