Finite Group Databasebeta

← #25979428

Subgroups — #25979428

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#19148605C211yesmaximal, characteristic, complemented
2#19148560C211yesmaximal, characteristic, complemented
3#19147621C211yesmaximal, characteristic, complemented
4#19147500C211yesmaximal, characteristic, complemented
5#19147270C211yesmaximal, characteristic, complemented
6#19147245C211yesmaximal, characteristic, complemented
7#19147219C211yesmaximal, characteristic, complemented
8#19147123C211yesmaximal, characteristic, complemented
9#19147119C211yesmaximal, characteristic, complemented
10#19146519C211yesmaximal, characteristic, complemented
11#19146508C211yesmaximal, characteristic, complemented
12#19146484C211yesmaximal, characteristic, complemented
13#19146477C211yesmaximal, characteristic, complemented
14#19146466C211yesmaximal, characteristic, complemented
15#19146239C211yesmaximal, characteristic, complemented
16#19146154C211yesmaximal, characteristic, complemented
17#19146146C211yesmaximal, characteristic, complemented
18#19145270C211yesmaximal, characteristic, complemented
19#19145266C211yesmaximal, characteristic, complemented
20#19145176C211yesmaximal, characteristic, complemented
21#19144893C211yesmaximal, characteristic, complemented
22#19144891C211yesmaximal, characteristic, complemented
23#19144862C211yesmaximal, characteristic, complemented
24#19144858C211yesmaximal, characteristic, complemented
25#19144752C211yesmaximal, characteristic, complemented
26#19144750C211yesmaximal, characteristic, complemented
27#19143563C211yesmaximal, characteristic, complemented
28#19143441C211yesmaximal, characteristic, complemented
29#19143431C211yesmaximal, characteristic, complemented
30#19143363C211yesmaximal, characteristic, complemented
31C43×#3302C211yesmaximal, characteristic, complemented
32C2×#13063355C2211yescharacteristic
33C2×#13063354C2211yescharacteristic
34C2×#13063345C2211yescharacteristic
35#14583629C2211yescharacteristic
36#14583624C2211yescharacteristic
37#14583621—21no—
38#14583621C2211yescharacteristic
39#14583617C2211yescharacteristic
40#14583616—21no—
41#14583616—21no—
42#14583612C2211yescharacteristic
43#14583611—21no—
44#14583608C2211yescharacteristic
45#14583607C2211yescharacteristic
46#14583592—21no—
47#14583589C2211yescharacteristic
48#14583586—21no—
49#14583586—21no—
50#14583584—21no—
51#14583583C2211yescharacteristic
52#14583562C2211yescharacteristic
53#14583559C2211yescharacteristic
54#14583558C2211yescharacteristic
55#14583548C2211yescharacteristic
56#14583548C2211yescharacteristic
57#14583523C2211yescharacteristic
58#14583522C2211yescharacteristic
59#14583515—21no—
60#14583513—21no—
61#14583510C2211yescharacteristic
62#14583509C2211yescharacteristic
63#14583494—21no—
64#14583493—21no—
65#14583453—21no—
66#14583451C2211yescharacteristic
67#14583451C2211yescharacteristic
68#14583432—21no—
69#14583429C2211yescharacteristic
70#14583426—21no—
71C2×#13063315—21no—
72#14583382C2211yescharacteristic
73#14583378C2211yescharacteristic
74#14583376C2211yescharacteristic
75#14583375C2211yescharacteristic
76#41×Dic43C2211yescharacteristic
77#14583367C2211yescharacteristic
78#14583307C2211yescharacteristic
79#14583305C2211yescharacteristic
80#14583303C2211yescharacteristic
81#14583292C2211yescharacteristic
82#14583291C2211yescharacteristic
83#14583277C2211yescharacteristic
84#14583255C2211yescharacteristic
85#14583254C2211yescharacteristic
86#14583248C2211yescharacteristic
87#14583248C2211yescharacteristic
88#14583248C2211yescharacteristic
89#14583241C2211yescharacteristic
90#14583240C2211yescharacteristic
91#14583240C2211yescharacteristic
92#14583239C2211yescharacteristic
93#14583238C2211yescharacteristic
94#14583237C2211yescharacteristic
95#14583236C2211yescharacteristic
96#14583232C2211yescharacteristic
97#14583214C2211yescharacteristic
98#14583213C2211yescharacteristic
99#14583209C2211yescharacteristic
100#14583207C2211yescharacteristic
101#14583206C2211yescharacteristic
102#14583205C2211yescharacteristic
103#14583193C2211yescharacteristic
104#14583192C2211yescharacteristic
105#14583192C2211yescharacteristic
106#14583191C2211yescharacteristic
107#14583188C2211yescharacteristic
108#14583187C2211yescharacteristic
109#14583177C2211yescharacteristic
110#14583156C2211yescharacteristic
111#14583155C2211yescharacteristic
112#14583148C2211yescharacteristic
113#14583147C2211yescharacteristic
114#14583140C2211yescharacteristic
115#14583139C2211yescharacteristic
116#14583138C2211yescharacteristic
117#14583138C2211yescharacteristic
118#14583131C2211yescharacteristic
119#14583128C2211yescharacteristic
120#14583123C2211yescharacteristic
121#14583122C2211yescharacteristic
122#14583116C2211yescharacteristic
123#14583114C2211yescharacteristic
124#14583108C2211yescharacteristic
125#14583108C2211yescharacteristic
126#14583108C2211yescharacteristic
127#14583107C2211yescharacteristic
128#14583106C2211yescharacteristic
129#14583103C2211yescharacteristic
130#14583102C2211yescharacteristic
131#14583063C2211yescharacteristic
132#14583062C2211yescharacteristic
133#14583061C2211yescharacteristic
134#14583059C2211yescharacteristic
135#14583057C2211yescharacteristic
136#14583054C2211yescharacteristic
137#14583053C2211yescharacteristic
138#14583053C2211yescharacteristic
139#14583045C2211yescharacteristic
140#14583044C2211yescharacteristic
141#14583028C2211yescharacteristic
142C8×Dic86C2211yescharacteristic
143#14583006C2211yescharacteristic
144#14583005C2211yescharacteristic
145#14583004C2211yescharacteristic
146#14583003C2211yescharacteristic
147#14583003C2211yescharacteristic
148#14583003C2211yescharacteristic
149#14583002C2211yescharacteristic
150#14583000C2211yescharacteristic
151#14582999C2211yescharacteristic
152#14582998C2211yescharacteristic
153#14582996C2211yescharacteristic
154#14582996C2211yescharacteristic
155C4×Dic172C2211yescharacteristic
156Q16×Dic43C2211yescharacteristic
157#14582993C2211yescharacteristic
158#14582991C2211yescharacteristic
159#14582991C2211yescharacteristic
160#14582991C2211yescharacteristic
161#14582991C2211yescharacteristic
162#14582991C2211yescharacteristic
163#14582990C2211yescharacteristic
164#14582990C2211yescharacteristic
165#14582990C2211yescharacteristic
166#14582984C2211yescharacteristic
167#14582984C2211yescharacteristic
168#14582979C2211yescharacteristic
169#14582979C2211yescharacteristic
170#14582974C2211yescharacteristic
171#14582971C2211yescharacteristic
172#14582967C2211yescharacteristic
173C8×C22⋊D43C2211yescharacteristic
174C8×C22⋊D43C2211yescharacteristic
175#14582959C2211yescharacteristic
176#14582957C2211yescharacteristic
177#14582953C2211yescharacteristic
178#14582942C2211yescharacteristic
179#14582938C2211yescharacteristic
180#14582935C2211yescharacteristic
181#14582896C2211yescharacteristic
182#14582892C2211yescharacteristic
183C2×#13063250C2211yescharacteristic
184#103×D43C2211yescharacteristic
185#14582854C2211yescharacteristic
186#14582853C2211yescharacteristic
187C2×C8×Dic43C2211yescharacteristic
188C43×#556C2211yescharacteristic
189C43×#547C2211yescharacteristic
190C43×#487C2211yescharacteristic
191C43×#485C2211yescharacteristic
192C43×#485C2211yescharacteristic
193C43×#474C2211yescharacteristic
194C43×#467C2211yescharacteristic
195C43×#467C2211yescharacteristic
196C43×#462C2211yescharacteristic
197C43×#452C2211yescharacteristic
198C43×#452C2211yescharacteristic
199C4×SD16×C43C2211yescharacteristic
200C8×D4×C43C2211yescharacteristic
201C43×#416C2211yescharacteristic
202C43×#416C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C22×Dic86C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207#13063355—24no—
208#13063354—24no—
209#13063345—24no—
210C2×Dic172C2311yescharacteristic
211C2×Dic172C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621877C2311yescharacteristic
224C2×#10621872C2311yescharacteristic
225C22×C43⋊C8C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227#13063324—21no—
228#13063324—21no—
229#13063324C2311yescharacteristic
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063323—21no—
233#13063323—21no—
234#13063323C2311yescharacteristic
235#13063323C2311yescharacteristic
236#13063323C2311yescharacteristic
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320D411yescharacteristic
243#13063319—21no—
244#13063319—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318D411yescharacteristic
251#13063317C2311yescharacteristic
252#13063316—21no—
253#13063316—21no—
254#13063316C2311yescharacteristic
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063315—21no—
263#13063315—21no—
264#13063315—21no—
265#13063315D411yescharacteristic
266#13063314—21no—
267#13063314C2311yescharacteristic
268#13063313—21no—
269#13063313C2311yescharacteristic
270#13063311—21no—
271#13063311—21no—
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063311D411yescharacteristic
276#13063310—21no—
277#13063309D411yescharacteristic
278#13063308—21no—
279#13063308—21no—
280#13063307—21no—
281#13063307—21no—
282#13063306—21no—
283#13063306—21no—
284#13063306—21no—
285#13063306D411yescharacteristic
286#13063305—21no—
287#13063305—21no—
288#13063305C2311yescharacteristic
289#13063304—21no—
290#13063304C2311yescharacteristic
291#13063304C2311yescharacteristic
292#13063304C2311yescharacteristic
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063302D411yescharacteristic
304#13063301—21no—
305#13063301C2311yescharacteristic
306#13063301C2311yescharacteristic
307#13063300C2311yescharacteristic
308#13063299C2311yescharacteristic
309#13063298—21no—
310#13063298—21no—
311#13063297—21no—
312#13063297—21no—
313#13063297—21no—
314#13063297D411yescharacteristic
315Q8×Dic43C2311yescharacteristic
316Q8×Dic43C2311yescharacteristic
317Q8×Dic43C2311yescharacteristic
318Q8×Dic43C2311yescharacteristic
319Q8×Dic43C2311yescharacteristic
320C4×Dic86—21no—
321C4×Dic86—21no—
322C4×Dic86—21no—
323C4×Dic86—21no—
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326C4×Dic86C2311yescharacteristic
327#13063290—21no—
328#13063290—21no—
329#13063290—21no—
330#13063290—21no—
331#13063290—21no—
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334#13063290C2311yescharacteristic
335#13063290C2311yescharacteristic
336#13063290C2311yescharacteristic
337#13063290C2311yescharacteristic
338D4×Dic43—21no—
339D4×Dic43—21no—
340D4×Dic43—21no—
341D4×Dic43—21no—
342D4×Dic43C2311yescharacteristic
343D4×Dic43C2311yescharacteristic
344D4×Dic43C2311yescharacteristic
345#13063287—21no—
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348C4×C22⋊D43—21no—
349C4×C22⋊D43C2311yescharacteristic
350C4×C22⋊D43C2311yescharacteristic
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357#13063284—21no—
358#13063284—21no—
359#13063284C2311yescharacteristic
360#13063284C2311yescharacteristic
361#13063283—21no—
362#13063283—21no—
363#13063283C2311yescharacteristic
364#13063282—21no—
365#13063282—21no—
366#13063282—21no—
367#13063282—21no—
368#13063282C2311yescharacteristic
369#13063281—21no—
370#13063281—21no—
371#13063281—21no—
372#13063281—21no—
373#13063281—21no—
374#13063281—21no—
375C2×C4⋊Dic43—21no—
376C2×C4⋊Dic43C2311yescharacteristic
377C2×Dic43⋊C4—21no—
378C2×Dic43⋊C4—21no—
379C2×Dic43⋊C4—21no—
380C2×Dic43⋊C4—21no—
381C4⋊C4×D43C2311yescharacteristic
382C2×C4×Dic43—21no—
383C2×C4×Dic43C2311yescharacteristic
384C42×D43—21no—
385#13063259C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C2×#41×C43C2311yescharacteristic
440C2×Q16×C43C2311yescharacteristic
441C2×Q16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444C22×C8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446C4⋊Q8×C43C2311yescharacteristic
447#126×C43—21no—
448#126×C43—21no—
449#124×C43—21no—
450#123×C43—21no—
451#123×C43—21no—
452C22⋊Q8×C43C2311yescharacteristic
453C22⋊Q8×C43C2311yescharacteristic
454C22⋊Q8×C43C2311yescharacteristic
455C22⋊Q8×C43C2311yescharacteristic
456#121×C43—21no—
457C4×Q8×C43—21no—
458C4×Q8×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461#117×C43C2311yescharacteristic
462#117×C43C2311yescharacteristic
463C2×C4⋊C4×C43—21no—
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×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
480C4×C8×C43C2311yescharacteristic
481#41×C43—22no—
482#41×C43—22no—
483#41×C43—41no—
484#41×C43—41no—
485C2×Q8×C43—21no—
486C2×Q8×C43C2411yescharacteristic
487C2×Q8×C43C2411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43C2×D411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43C2411yescharacteristic
497C22×C4×C43C2411yescharacteristic
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43C2×D411yescharacteristic
502C2×C22⋊D43C2×D411yescharacteristic
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43C2×D411yescharacteristic
510C22×Dic43C2×D411yescharacteristic
511Q8×D43—22no—
512Q8×D43—41no—
513#10621900—22no—
514#10621900—41no—
515#10621898—22no—
516#10621898—41no—
517C2×D172—21no—
518C2×D172C2411yescharacteristic
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43C2411yescharacteristic
525C2×Dic86—22no—
526C2×Dic86—21no—
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—41no—
532C2×Dic86C2×D411yescharacteristic
533C2×Dic86C2411yescharacteristic
534C2×Dic86C2411yescharacteristic
535C2×Dic86C2411yescharacteristic
536Q16×C43—41no—
537Q16×C43—41no—
538SD16×C43—22no—
539C2×C8×C43—41no—
540C2×C8×C43—41no—
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C2×C8×C43C2411yescharacteristic
544C2×C8×C43C2411yescharacteristic
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43C2×D411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43C2×D411yescharacteristic
566C22⋊C4×C43C2×D411yescharacteristic
567C42×C43—21no—
568C42×C43—21no—
569C42×C43—21no—
570C42×C43C2411yescharacteristic
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43C2×D411yescharacteristic
579C22⋊Dic43C2×D411yescharacteristic
580C22⋊Dic43C2×D411yescharacteristic
581C22⋊Dic43C2×D411yescharacteristic
582#10621885—22no—
583#10621885—22no—
584#10621885—22no—
585#10621885—22no—
586#10621885—41no—
587#10621884—22no—
588#10621884—41no—
589#10621883—22no—
590#10621883#4114yes—
591#10621882—22no—
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)⋊C4C2×D411yescharacteristic
605(C2×D43)⋊C4C2×D411yescharacteristic
606(C2×D43)⋊C4C2×D411yescharacteristic
607(C2×D43)⋊C4C2×D411yescharacteristic
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43C2×D411yescharacteristic
617C4⋊Dic43C2×D411yescharacteristic
618C4⋊Dic43C2×D411yescharacteristic
619C4⋊Dic43C2411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2411yescharacteristic
673C4×Dic43C2411yescharacteristic
674C4×Dic43C2411yescharacteristic
675#10621877—22no—
676C2×C43⋊C8—22no—
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681Dic172—22no—
682Dic172—41no—
683#10621873—41no—
684#10621872—22no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43C22×D411yescharacteristic
688C23×C43C22×D411yescharacteristic
689C22×D43—21no—
690C22×D43C22×D411yescharacteristic
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—21no—
696Q8×C43—21no—
697Q8×C43—81no—
698D4×C43—21no—
699D4×C43—41no—
700D4×C43—42no—
701D4×C43—42no—
702D4×C43C2×#4112yes—
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—42no—
715C2×C4×C43—42no—
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—41no—
724C22⋊D43—42no—
725C22⋊D43—42no—
726C22⋊D43—81no—
727C2×Dic43—21no—
728C2×Dic43—22no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—41no—
736C2×Dic43—42no—
737C2×Dic43—42no—
738C2×Dic43—42no—
739C2×Dic43—81no—
740C2×Dic43—81no—
741C2×Dic43—81no—
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749D172—21no—
750D172—21no—
751D172—81no—
752C4×D43—21no—
753C4×D43—21no—
754C4×D43—42no—
755C4×D43—42no—
756C4×D43—42no—
757C4×D43—81no—
758C4×D43—81no—
759Dic86—21no—
760Dic86—22no—
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—21no—
782C22×C43—22no—
783C22×C43—21no—
784C22×C43—21no—
785C22×C43—21no—
786C22×C43—21no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43C23×D411yescharacteristic
790C2×D43—21no—
791C2×D43—21no—
792C2×D43—21no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
796C4×C43—21no—
797C4×C43—21no—
798C4×C43—21no—
799C4×C43—21no—
800C4×C43—41no—
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—21no—
812Dic43—22no—
813Dic43—21no—
814Dic43—21no—
815Dic43—21no—
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#3302D4311yescharacteristic, complemented
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#3124—431no—
848#3116—431no—
849#3116—431no—
850#2966—431no—
851#2947—431no—
852#2947—431no—
853C4×#135—431no—
854C2×C43—41no—
855C2×C43—41no—
856C2×C43—42no—
857C2×C43D4×#4111yescharacteristic
858C2×C43C2×#57811yescharacteristic
859C2×C43#358411yescharacteristic
860D43—41no—
861D43—81no—
862C2×#137—431no—
863C2×#137—431no—
864C2×#135—431no—
865Q82—431no—
866#557—431no—
867#556—431no—
868#556—431no—
869#556—861no—
870#556—861no—
871#556—861no—
872#556C2×D4311yescharacteristic
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#547C2×D4311yescharacteristic
889#542—431no—
890#542—431no—
891#542—861no—
892#542—861no—
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#520—431no—
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#487C2×D4311yescharacteristic
922#485—431no—
923#485—431no—
924#485—431no—
925#485—431no—
926#485—431no—
927#485—431no—
928#485C2×D4311yescharacteristic
929#485C2×D4311yescharacteristic
930#484—431no—
931#484—431no—
932#480—431no—
933#480—431no—
934#479—431no—
935#479—431no—
936#479—431no—
937#479—431no—
938#477—431no—
939#477—431no—
940#477—431no—
941#477—431no—
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#467C2×D4311yescharacteristic
955#467C2×D4311yescharacteristic
956#465—431no—
957#465—431no—
958#464—431no—
959#464—431no—
960#463—431no—
961#463—431no—
962#462—431no—
963#462—431no—
964#462—431no—
965#462—431no—
966#462—431no—
967#462C2×D4311yescharacteristic
968#461—431no—
969#461—431no—
970#452—431no—
971#452—431no—
972#452—431no—
973#452—431no—
974#452C2×D4311yescharacteristic
975#452C2×D4311yescharacteristic
976#451—431no—
977#451—431no—
978#451—431no—
979#451—431no—
980#449—431no—
981#449—431no—
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#440—431no—
995#440—431no—
996C4×Q16—431no—
997C4×Q16—431no—
998C4×Q16—431no—
999C4×Q16—431no—
1000C4×Q16—431no—
1001C4×Q16—431no—
1002C4×Q16—431no—
1003C4×Q16—431no—
1004C4×SD16—431no—
1005C4×SD16—431no—
1006C4×SD16—431no—
1007C4×SD16—431no—
1008C4×SD16—431no—
1009C4×SD16C2×D4311yescharacteristic
1010C4×D8—431no—
1011C4×D8—431no—
1012#436—431no—
1013#435—431no—
1014#435—431no—
1015C8×D4—431no—
1016C8×D4—431no—
1017C8×D4C2×D4311yescharacteristic
1018#433—431no—
1019#433—431no—
1020#432—431no—
1021#428—431no—
1022#428—431no—
1023#427—431no—
1024#416—431no—
1025#416—431no—
1026#416C2×D4311yescharacteristic
1027#416C2×D4311yescharacteristic
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×#41C22×D4311yescharacteristic
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×Q16C22×D4311yescharacteristic
1051C2×Q16C22×D4311yescharacteristic
1052C2×SD16—431no—
1053C2×SD16—431no—
1054C2×SD16—431no—
1055C2×SD16—431no—
1056C2×SD16—431no—
1057C2×SD16C22×D4311yescharacteristic
1058C2×D8—431no—
1059C2×M16—431no—
1060C2×M16—431no—
1061C22×C8—431no—
1062C22×C8—431no—
1063C22×C8C22×D4311yescharacteristic
1064C22×C8C22×D4311yescharacteristic
1065C4⋊Q8—431no—
1066C4⋊Q8—431no—
1067C4⋊Q8—431no—
1068C4⋊Q8—431no—
1069C4⋊Q8—431no—
1070C4⋊Q8—431no—
1071C4⋊Q8—861no—
1072C4⋊Q8—861no—
1073C4⋊Q8—861no—
1074C4⋊Q8—861no—
1075C4⋊Q8C22×D4311yescharacteristic
1076C4⋊Q8C22×D4311yescharacteristic
1077#126—21no—
1078#126—21no—
1079#126—431no—
1080#126—431no—
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—431no—
1112#124—861no—
1113#124—861no—
1114#124—861no—
1115#124—861no—
1116#124—861no—
1117#124—861no—
1118#124—861no—
1119#123—21no—
1120#123—21no—
1121#123—431no—
1122#123—431no—
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—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—431no—
1137C22⋊Q8—431no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8C22×D4311yescharacteristic
1153C22⋊Q8C22×D4311yescharacteristic
1154C22⋊Q8C22×D4311yescharacteristic
1155C22⋊Q8C22×D4311yescharacteristic
1156#121—21no—
1157#121—431no—
1158#121—431no—
1159#121—431no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121—861no—
1165C4×Q8—21no—
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—431no—
1178C4×Q8—431no—
1179C4×Q8—431no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8—861no—
1185C4×Q8—861no—
1186C4×Q8—861no—
1187C4×Q8—861no—
1188C4×Q8—861no—
1189C4×Q8C22×D4311yescharacteristic
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—431no—
1194C4×D4—431no—
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—861no—
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×D4—861no—
1209C4×D4C22×D4311yescharacteristic
1210C4×D4C22×D4311yescharacteristic
1211#117—431no—
1212#117—431no—
1213#117—431no—
1214#117—431no—
1215#117—861no—
1216#117—861no—
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#117C22×D4311yescharacteristic
1230#117C22×D4311yescharacteristic
1231C2×C4⋊C4—21no—
1232C2×C4⋊C4—431no—
1233C2×C4⋊C4—431no—
1234C2×C4⋊C4—861no—
1235C2×C4⋊C4—861no—
1236C2×C4⋊C4—861no—
1237C2×C4⋊C4—861no—
1238C2×C4⋊C4—861no—
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#107—431no—
1249#107—431no—
1250#107C22×D4311yescharacteristic
1251#107C22×D4311yescharacteristic
1252#106—431no—
1253#106—431no—
1254#106—431no—
1255#106—431no—
1256#106—431no—
1257#106C22×D4311yescharacteristic
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
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#103C22×D4311yescharacteristic
1282#103C22×D4311yescharacteristic
1283#103C22×D4311yescharacteristic
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#102—431no—
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#97—431no—
1306C4×C8—431no—
1307C4×C8—431no—
1308C4×C8—431no—
1309C4×C8—431no—
1310C4×C8—431no—
1311C4×C8C22×D4311yescharacteristic
1312#41—22no—
1313#41—22no—
1314#41—41no—
1315#41—41no—
1316#41—862no—
1317#41—862no—
1318#41—1721no—
1319#41—1721no—
1320C2×Q8—21no—
1321C2×Q8—431no—
1322C2×Q8—431no—
1323C2×Q8—431no—
1324C2×Q8—431no—
1325C2×Q8—861no—
1326C2×Q8—861no—
1327C2×Q8—861no—
1328C2×Q8—861no—
1329C2×Q8—862no—
1330C2×Q8—861no—
1331C2×Q8—862no—
1332C2×Q8—1721no—
1333C2×Q8—1721no—
1334C2×Q8C23×D4311yescharacteristic
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×D4D4×D4311yescharacteristic
1347C2×D4C23×D4311yescharacteristic
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—431no—
1352C22×C4—431no—
1353C22×C4—431no—
1354C22×C4—861no—
1355C22×C4—861no—
1356C22×C4—861no—
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×C4C23×D4311yescharacteristic
1366C22×C4C23×D4311yescharacteristic
1367Q16—41no—
1368Q16—41no—
1369Q16—862no—
1370Q16—862no—
1371Q16—862no—
1372Q16—862no—
1373Q16—862no—
1374Q16—1721no—
1375Q16—1721no—
1376SD16—22no—
1377SD16—434no—
1378SD16—862no—
1379SD16—862no—
1380SD16—1721no—
1381SD16—1721no—
1382D8—862no—
1383M16—862no—
1384M16—862no—
1385C2×C8—41no—
1386C2×C8—41no—
1387C2×C8—431no—
1388C2×C8—431no—
1389C2×C8—431no—
1390C2×C8—431no—
1391C2×C8—862no—
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—21no—
1404C4⋊C4—21no—
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—431no—
1416C4⋊C4—431no—
1417C4⋊C4—431no—
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⋊C4—861no—
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—431no—
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—
1515C42—861no—
1516C42C23×D4311yescharacteristic
1517C23—21no—
1518C23—431no—
1519C23—861no—
1520C23C2×D4×D4311yescharacteristic
1521C23C2×D4×D4311yescharacteristic
1522Q8—21no—
1523Q8—21no—
1524Q8—21no—
1525Q8—21no—
1526Q8—21no—
1527Q8—21no—
1528Q8—81no—
1529Q8—432no—
1530Q8—862no—
1531Q8—861no—
1532Q8—861no—
1533Q8—861no—
1534Q8—861no—
1535Q8—861no—
1536Q8—3441no—
1537Q8—3441no—
1538Q8—3441no—
1539Q8—1722no—
1540Q8—1722no—
1541D4—21no—
1542D4—41no—
1543D4—42no—
1544D4—42no—
1545D4—862no—
1546D4—861no—
1547D4—861no—
1548D4—3441no—
1549D4—3441no—
1550D4—1721no—
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—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—42no—
1566C2×C4—42no—
1567C2×C4—81no—
1568C2×C4—431no—
1569C2×C4—431no—
1570C2×C4—431no—
1571C2×C4—431no—
1572C2×C4—431no—
1573C2×C4—431no—
1574C2×C4—431no—
1575C2×C4—862no—
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—3441no—
1586C2×C4—3441no—
1587C2×C4—3441no—
1588C2×C4—3441no—
1589C2×C4—3441no—
1590C2×C4—1722no—
1591C2×C4—1722no—
1592C2×C4—1722no—
1593C2×C4—1722no—
1594C2×C4—1721no—
1595C2×C4—1722no—
1596C2×C4—1722no—
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—21no—
1613C22—21no—
1614C22—22no—
1615C22—21no—
1616C22—21no—
1617C22—41no—
1618C22—41no—
1619C22—861no—
1620C22—861no—
1621C22—861no—
1622C22—1721no—
1623C22—1721no—
1624C22—1721no—
1625C22C22×D4×D4311yescharacteristic
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—21no—
1630C4—41no—
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—861no—
1645C4—1721no—
1646C4—1721no—
1647C4—1721no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4C2×#41×D4311yescharacteristic
1652C4#1458373411yescharacteristic
1653C2—41no—
1654C2—41no—
1655C2—42no—
1656C2—3441no—
1657C2—1721no—
1658C2#1914807911yescharacteristic
1659C2#578×D4311yescharacteristic
1660C2#1914936411yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3302C2
socleC22×C43C23×D4
hypercenter#3302D43
hypocenterC43#61492
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3302

Complements

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

NH ≅ G/Ntype
1. #19148605C2semidirect
2. #19148560C2semidirect
3. #19147621C2semidirect
4. #19147500C2semidirect
5. #19147270C2semidirect
6. #19147245C2semidirect
7. #19147219C2semidirect
8. #19147123C2semidirect
9. #19147119C2semidirect
10. #19146519C2semidirect
11. #19146508C2semidirect
12. #19146484C2semidirect
13. #19146477C2semidirect
14. #19146466C2semidirect
15. #19146239C2semidirect
16. #19146154C2semidirect
17. #19146146C2semidirect
18. #19145270C2semidirect
19. #19145266C2semidirect
20. #19145176C2semidirect
21. #19144893C2semidirect
22. #19144891C2semidirect
23. #19144862C2semidirect
24. #19144858C2semidirect
25. #19144752C2semidirect
26. #19144750C2semidirect
27. #19143563C2semidirect
28. #19143441C2semidirect
29. #19143431C2semidirect
30. #19143363C2semidirect
31. C43×#3302C2semidirect
834. #3302D43semidirect
1033. C43#61492semidirect

Maximal subgroups

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

subgroupindex
#191486052
#191485602
#191476212
#191475002
#191472702
#191472452
#191472192
#191471232
#191471192
#191465192
#191465082
#191464842
#191464772
#191464662
#191462392
#191461542
#191461462
#191452702
#191452662
#191451762
#191448932
#191448912
#191448622
#191448582
#191447522
#191447502
#191435632
#191434412
#191434312
#191433632
C43×#33022
#6149243