Finite Group Databasebeta

← #25979601

Subgroups — #25979601

Order 11008.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148698C211yesmaximal, characteristic, complemented
2#19148665C211yesmaximal, characteristic, complemented
3#19147654C211yesmaximal, characteristic, complemented
4#19147537C211yesmaximal, characteristic, complemented
5#19147283C211yesmaximal, characteristic, complemented
6#19147259C211yesmaximal, characteristic, complemented
7#19147159C211yesmaximal, characteristic, complemented
8#19147132C211yesmaximal, characteristic, complemented
9#19147098C211yesmaximal, characteristic, complemented
10#19146537C211yesmaximal, characteristic, complemented
11#19146516C211yesmaximal, characteristic, complemented
12#19146495C211yesmaximal, characteristic, complemented
13#19146480C211yesmaximal, characteristic, complemented
14#19146438C211yesmaximal, characteristic, complemented
15#19146427C211yesmaximal, characteristic, complemented
16#19146224C211yesmaximal, characteristic, complemented
17#19146148C211yesmaximal, characteristic, complemented
18#19146141C211yesmaximal, characteristic, complemented
19#19145280C211yesmaximal, characteristic, complemented
20#19145261C211yesmaximal, characteristic, complemented
21#19145161C211yesmaximal, characteristic, complemented
22#19144826C211yesmaximal, characteristic, complemented
23#19144805C211yesmaximal, characteristic, complemented
24#19144775C211yesmaximal, characteristic, complemented
25#19144708C211yesmaximal, characteristic, complemented
26#19144700C211yesmaximal, characteristic, complemented
27#19143568C211yesmaximal, characteristic, complemented
28#19143434C211yesmaximal, characteristic, complemented
29#19143424C211yesmaximal, characteristic, complemented
30C4×#13063344C211yesmaximal, characteristic, complemented
31C43×#3119C211yesmaximal, characteristic, complemented
32C2×#13063355C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063344C2211yescharacteristic
35#14583635C2211yescharacteristic, complemented
36#14583633—21no—
37#14583626C2211yescharacteristic, complemented
38#14583622C2211yescharacteristic
39#14583621C2211yescharacteristic
40#14583613—21no—
41#14583613C2211yescharacteristic, complemented
42#14583606C2211yescharacteristic
43#14583597C2211yescharacteristic
44#14583596C2211yescharacteristic
45#14583595—21no—
46#14583592—21no—
47#14583587C2211yescharacteristic
48#14583586—21no—
49#14583584C2211yescharacteristic
50#14583582—21no—
51#14583578—21no—
52#14583573—21no—
53#14583569C2211yescharacteristic
54#14583555C2211yescharacteristic
55#14583555C2211yescharacteristic, complemented
56#14583548C2211yescharacteristic
57#14583544C2211yescharacteristic
58#14583537C2211yescharacteristic
59#14583520C2211yescharacteristic
60#14583517—21no—
61#14583514C2211yescharacteristic
62#14583507C2211yescharacteristic
63#14583499—21no—
64#14583496—21no—
65#14583482—21no—
66#14583436C2211yescharacteristic
67#14583431C2211yescharacteristic, complemented
68#14583430—21no—
69#14583429—21no—
70#14583427C2211yescharacteristic
71#14583426—21no—
72C2×#13063320—21no—
73#14583378C2211yescharacteristic
74#14583376C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic
76C4×#10621900C2211yescharacteristic
77C4×#10621900C2211yescharacteristic, complemented
78#14583309C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583299C2211yescharacteristic, complemented
81#14583290C2211yescharacteristic, complemented
82#14583286C2211yescharacteristic
83#14583280C2211yescharacteristic
84#14583256C2211yescharacteristic
85#14583255C2211yescharacteristic
86#14583252C2211yescharacteristic, complemented
87#14583252C2211yescharacteristic, complemented
88#14583248C2211yescharacteristic, complemented
89#14583245C2211yescharacteristic, complemented
90#14583243C2211yescharacteristic, complemented
91#14583242C2211yescharacteristic
92#14583241C2211yescharacteristic, complemented
93#14583239C2211yescharacteristic, complemented
94#14583233C2211yescharacteristic
95#14583231C2211yescharacteristic
96#14583226C2211yescharacteristic
97#14583224C2211yescharacteristic
98#14583222C2211yescharacteristic
99#14583222C2211yescharacteristic, complemented
100#14583209C2211yescharacteristic, complemented
101#14583209C2211yescharacteristic, complemented
102#14583205C2211yescharacteristic, complemented
103#14583201C2211yescharacteristic
104#14583197C2211yescharacteristic, complemented
105#14583197C2211yescharacteristic, complemented
106#14583195C2211yescharacteristic, complemented
107#14583187C2211yescharacteristic
108#14583185C2211yescharacteristic, complemented
109#14583178C2211yescharacteristic
110#14583156C2211yescharacteristic
111#14583150C2211yescharacteristic
112#14583144C2211yescharacteristic
113#14583143C2211yescharacteristic, complemented
114#14583141C2211yescharacteristic
115#14583139C2211yescharacteristic, complemented
116#14583134C2211yescharacteristic
117#14583133C2211yescharacteristic
118#14583129C2211yescharacteristic
119#14583126C2211yescharacteristic, complemented
120#14583125C2211yescharacteristic
121#14583125C2211yescharacteristic, complemented
122#14583124C2211yescharacteristic
123#14583122C2211yescharacteristic
124#14583122C2211yescharacteristic
125#14583120C2211yescharacteristic, complemented
126#14583116C2211yescharacteristic
127#14583113C2211yescharacteristic
128#14583112C2211yescharacteristic
129#14583112C2211yescharacteristic
130#14583108C2211yescharacteristic, complemented
131#14583102C2211yescharacteristic, complemented
132#14583062C2211yescharacteristic
133#14583062C2211yescharacteristic
134#14583058C2211yescharacteristic
135#14583058C2211yescharacteristic, complemented
136#14583057C2211yescharacteristic, complemented
137#14583051C2211yescharacteristic
138#14583045C2211yescharacteristic
139#14583041C2211yescharacteristic
140#14583040C2211yescharacteristic
141#14583031C2211yescharacteristic
142#14583028C2211yescharacteristic, complemented
143#14583023C2211yescharacteristic, complemented
144#14583009C2211yescharacteristic
145#14583008C2211yescharacteristic
146#14583007C2211yescharacteristic, complemented
147#14583004C2211yescharacteristic, complemented
148#14583004C2211yescharacteristic, complemented
149#14583001C2211yescharacteristic
150#14582999C2211yescharacteristic
151#14582999C2211yescharacteristic
152#14582999C2211yescharacteristic, complemented
153#14582996C2211yescharacteristic
154C4×Dic172C2211yescharacteristic, complemented
155#14582993C2211yescharacteristic, complemented
156C4×#10621885C2211yescharacteristic, complemented
157C4×#10621885C2211yescharacteristic, complemented
158#14582990C2211yescharacteristic
159#14582990C2211yescharacteristic, complemented
160C4×#10621873C2211yescharacteristic
161#14582986C2211yescharacteristic
162C4×#10621883C2211yescharacteristic
163C4×#10621883C2211yescharacteristic
164C4×#10621883C2211yescharacteristic, complemented
165D8×Dic43C2211yescharacteristic
166D8×Dic43C2211yescharacteristic
167C4×#10621882C2211yescharacteristic
168#14582974C2211yescharacteristic
169#14582973C2211yescharacteristic, complemented
170#14582969C2211yescharacteristic
171#14582964C2211yescharacteristic
172(C22⋊D43)⋊C8C2211yescharacteristic
173(C22⋊D43)⋊C8C2211yescharacteristic, complemented
174#14582958C2211yescharacteristic
175#14582954C2211yescharacteristic, complemented
176#14582939C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic
178#14582936C2211yescharacteristic, complemented
179#14582895C2211yescharacteristic
180#14582892C2211yescharacteristic
181#14582892C2211yescharacteristic
182#14582892C2211yescharacteristic, complemented
183C2×#13063248C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582856C2211yescharacteristic
186#14582855C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic, complemented
188C43×#540C2211yescharacteristic, complemented
189C43×#520C2211yescharacteristic
190C43×#481C2211yescharacteristic, complemented
191C43×#480C2211yescharacteristic, complemented
192C43×#479C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic
194C43×#460C2211yescharacteristic, complemented
195C43×#459C2211yescharacteristic
196C43×#449C2211yescharacteristic
197C43×#449C2211yescharacteristic
198C43×#442C2211yescharacteristic
199C43×#440C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic
202C43×#433C2211yescharacteristic, complemented
203C2×#10621900C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C22×Dic86C2311yescharacteristic
207C2×D4×D43C2311yescharacteristic
208#13063355—24no—
209#13063349—24no—
210#13063344—24no—
211C2×Dic172C2311yescharacteristic
212C2×Dic172C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621877C2311yescharacteristic
224C2×#10621872C2311yescharacteristic
225C22×C43⋊C8C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229#13063325C2311yescharacteristic
230#13063324—21no—
231#13063324C2311yescharacteristic
232#13063323C2311yescharacteristic
233#13063321—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320D411yescharacteristic
244#13063319—21no—
245#13063319—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318D411yescharacteristic
250#13063317—21no—
251#13063316—21no—
252#13063316C2311yescharacteristic
253#13063316C2311yescharacteristic
254#13063316C2311yescharacteristic
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315D411yescharacteristic
260#13063314C2311yescharacteristic
261#13063313—21no—
262#13063313C2311yescharacteristic
263#13063312—21no—
264#13063312—21no—
265#13063312C2311yescharacteristic
266#13063312C2311yescharacteristic
267#13063311—21no—
268#13063311—21no—
269#13063311—21no—
270#13063311—21no—
271#13063311—21no—
272#13063311D411yescharacteristic
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310D411yescharacteristic
277#13063309—21no—
278#13063308—21no—
279#13063308—21no—
280#13063308—21no—
281#13063308—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307D411yescharacteristic
285#13063306—21no—
286#13063306—21no—
287#13063306—21no—
288#13063306—21no—
289#13063305C2311yescharacteristic
290#13063305C2311yescharacteristic
291#13063305C2311yescharacteristic
292#13063304—21no—
293#13063304—21no—
294#13063304C2311yescharacteristic
295#13063303—21no—
296#13063303—21no—
297#13063303D411yescharacteristic
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063301C2311yescharacteristic
303#13063301C2311yescharacteristic
304#13063300C2311yescharacteristic
305#13063299—21no—
306#13063299—21no—
307#13063299C2311yescharacteristic
308#13063298D411yescharacteristic
309#13063297—21no—
310#13063297—21no—
311#13063297—21no—
312#13063297—21no—
313#13063297—21no—
314#13063297—21no—
315#13063297—21no—
316#13063296—21no—
317#13063296C2311yescharacteristic
318#13063296C2311yescharacteristic
319#13063295—21no—
320#13063293—21no—
321C4×Dic86—21no—
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326C4×Dic86C2311yescharacteristic
327C4×Dic86C2311yescharacteristic
328#13063290—21no—
329#13063290—21no—
330#13063290—21no—
331#13063290C2311yescharacteristic
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334C4×D172—21no—
335C4×D172C2311yescharacteristic
336C4×D172C2311yescharacteristic
337D4×Dic43—21no—
338D4×Dic43—21no—
339D4×Dic43—21no—
340D4×Dic43—21no—
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343D4×Dic43C2311yescharacteristic
344D4×Dic43C2311yescharacteristic
345#13063287C2311yescharacteristic
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
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#13063284—21no—
361#13063284C2311yescharacteristic
362#13063283—21no—
363#13063283C2311yescharacteristic
364#13063283C2311yescharacteristic
365#13063283C2311yescharacteristic
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×Dic43⋊C4—21no—
377C2×Dic43⋊C4—21no—
378C4⋊C4×D43C2311yescharacteristic
379C2×(C2×D43)⋊C4—21no—
380C2×(C2×D43)⋊C4—21no—
381C2×(C2×D43)⋊C4—21no—
382C22⋊C4×D43—21no—
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#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
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×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443#127×C43C2311yescharacteristic
444#125×C43C2311yescharacteristic
445#123×C43—21no—
446#123×C43—21no—
447#121×C43—21no—
448#121×C43—21no—
449#121×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×D4×C43—21no—
454C4×D4×C43—21no—
455C4×D4×C43C2311yescharacteristic
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#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×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
481C23×D43—21no—
482#41×C43—22no—
483#41×C43—41no—
484C2×Q8×C43C2411yescharacteristic
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43C2411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43C2411yescharacteristic
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43C2×D411yescharacteristic
508C2×C22⋊D43C2×D411yescharacteristic
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517#10621900—22no—
518#10621900—22no—
519#10621900—22no—
520#10621900—41no—
521#10621900—41no—
522#10621900—41no—
523D4×D43—22no—
524D4×D43—41no—
525C2×D172—21no—
526C2×D172C2×D411yescharacteristic
527C2×D172C2411yescharacteristic
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43C2×D411yescharacteristic
532C2×C4×D43C2×D411yescharacteristic
533C2×C4×D43C2411yescharacteristic
534C2×C4×D43C2411yescharacteristic
535C2×Dic86—22no—
536C2×Dic86—21no—
537C2×Dic86—21no—
538C2×Dic86—21no—
539C2×Dic86—41no—
540C2×Dic86C2×D411yescharacteristic
541C2×Dic86C2411yescharacteristic
542C2×Dic86C2411yescharacteristic
543C2×Dic86C2411yescharacteristic
544SD16×C43—41no—
545SD16×C43—41no—
546D8×C43—22no—
547D8×C43—22no—
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C2×C8×C43C2411yescharacteristic
551C2×C8×C43C2411yescharacteristic
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43C2×D411yescharacteristic
558C4⋊C4×C43C2×D411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43C2×D411yescharacteristic
570C22⋊C4×C43C2×D411yescharacteristic
571C42×C43—21no—
572C42×C43—21no—
573C42×C43C2411yescharacteristic
574C42×C43C2411yescharacteristic
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43C2×D411yescharacteristic
588C22⋊Dic43C2×D411yescharacteristic
589#10621885—22no—
590#10621885—22no—
591#10621883—22no—
592#10621883—22no—
593#10621883—41no—
594#10621883#4114yes—
595#10621882—22no—
596#10621882—41no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4C2×D411yescharacteristic
614(C2×D43)⋊C4C2×D411yescharacteristic
615(C2×D43)⋊C4C2×D411yescharacteristic
616(C2×D43)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43C2×D411yescharacteristic
627C4⋊Dic43C2×D411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
630C4⋊Dic43C2411yescharacteristic
631C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
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—41no—
680#10621873—22no—
681#10621873—41no—
682#10621872—22no—
683C8×D43—22no—
684C8×D43—41no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43—21no—
689C23×C43C22×D411yescharacteristic
690C22×D43—21no—
691C22×D43—42no—
692C22×D43—81no—
693C22×D43—81no—
694C22×D43C22×D411yescharacteristic
695C22×D43C22×D411yescharacteristic
696Q8×C43—21no—
697Q8×C43—21no—
698D4×C43—21no—
699D4×C43—21no—
700D4×C43—21no—
701D4×C43—21no—
702D4×C43—21no—
703D4×C43—42no—
704D4×C43—81no—
705D4×C43—81no—
706D4×C43—81no—
707D4×C43—81no—
708D4×C43C2×#4112yes—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—42no—
717C2×C4×C43—81no—
718C2×C4×C43—81no—
719C2×C4×C43—81no—
720C2×C4×C43—81no—
721C2×C4×C43—81no—
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C2511yescharacteristic
728C22⋊D43—41no—
729C22⋊D43—41no—
730C22⋊D43—42no—
731C22⋊D43—42no—
732C22⋊D43—42no—
733C22⋊D43—42no—
734C22⋊D43—81no—
735C22⋊D43—81no—
736C22⋊D43—81no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—42no—
745C2×Dic43—42no—
746C2×Dic43—42no—
747C2×Dic43—42no—
748C2×Dic43—81no—
749C2×Dic43—81no—
750C2×Dic43—81no—
751C2×Dic43—81no—
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755C2×Dic43C22×D411yescharacteristic
756C2×Dic43C22×D411yescharacteristic
757C2×Dic43C22×D411yescharacteristic
758D172—21no—
759D172—21no—
760D172—41no—
761D172—81no—
762C4×D43—21no—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—41no—
767C4×D43—41no—
768C4×D43—81no—
769C4×D43—81no—
770C4×D43—81no—
771Dic86—21no—
772Dic86—21no—
773Dic86—21no—
774Dic86—21no—
775Dic86—21no—
776Dic86—41no—
777Dic86—42no—
778Dic86—81no—
779Dic86—81no—
780Dic86C2×#4112yes—
781C8×C43—21no—
782C8×C43—21no—
783C8×C43—21no—
784C8×C43—21no—
785C43⋊C8—21no—
786C43⋊C8—21no—
787C43⋊C8—21no—
788C43⋊C8C2×#4112yes—
789#61500—431nomaximal, Sylow
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—22no—
793C22×C43—21no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43—41no—
799C22×C43—41no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43C23×D411yescharacteristic
803C2×D43—21no—
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—162no—
813C4×C43—21no—
814C4×C43—21no—
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—21no—
818C4×C43—41no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43C22×#4111yescharacteristic
824C4×C43#58511yescharacteristic
825Dic43—21no—
826Dic43—21no—
827Dic43—21no—
828Dic43—21no—
829Dic43—22no—
830Dic43—21no—
831Dic43—21no—
832Dic43—41no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43—41no—
838#3524—431no—
839#3521—431no—
840#3401—431no—
841#3388—431no—
842#3364—431no—
843#3361—431no—
844#3351—431no—
845#3349—431no—
846#3347—431no—
847#3304—431no—
848#3303—431no—
849#3301—431no—
850#3300—431no—
851#3297—431no—
852#3296—431no—
853#3275—431no—
854#3269—431no—
855#3268—431no—
856#3179—431no—
857#3178—431no—
858#3168—431no—
859#3121—431no—
860#3120—431no—
861#3119D4311yescharacteristic, complemented
862#3118—431no—
863#3111—431no—
864#3111—431no—
865#2966—431no—
866#2947—431no—
867#2946—431no—
868C4×#135—431no—
869C2×C43—42no—
870C2×C43—41no—
871C2×C43—81no—
872C2×C43—81no—
873C2×C43D4×#4111yescharacteristic
874C2×C43#358411yescharacteristic
875C2×C43#358411yescharacteristic
876D43—41no—
877D43—41no—
878D43—81no—
879C2×#137—431no—
880C2×AGL(1,ℤ/8)—431no—
881C2×#135—431no—
882#559—431no—
883#559—861no—
884#557—431no—
885#556—431no—
886#556—431no—
887#555—431no—
888#555—861no—
889#554—431no—
890#553—431no—
891#553—431no—
892#553—861no—
893#553—861no—
894#552—431no—
895#552—431no—
896#552—861no—
897#552—861no—
898#551—861no—
899#551—861no—
900#550—431no—
901#548—431no—
902#548—431no—
903#547—431no—
904#546—431no—
905#546—431no—
906#542—431no—
907#542—431no—
908#542—861no—
909#541—431no—
910#540—861no—
911#540C2×D4311yescharacteristic, complemented
912#539—861no—
913#538—861no—
914#529—431no—
915#529—431no—
916#529—431no—
917#529—861no—
918#529—861no—
919#529—861no—
920C2×#126—861no—
921#520—431no—
922#520C2×D4311yescharacteristic
923#519—431no—
924#518—431no—
925C4×#41—431no—
926C4×#41—431no—
927#501—431no—
928#501—431no—
929#499—431no—
930#497—431no—
931#496—431no—
932#495—431no—
933#488—431no—
934#488—431no—
935#488—431no—
936#488—431no—
937#487—431no—
938#486—431no—
939#485—431no—
940#485—431no—
941#485—431no—
942#485—431no—
943#484—431no—
944#483—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#481C2×D4311yescharacteristic, complemented
950#480C2×D4311yescharacteristic, complemented
951#479—431no—
952#479—431no—
953#479—431no—
954#479C2×D4311yescharacteristic, complemented
955#478—431no—
956#478—431no—
957#478—431no—
958#478C2×D4311yescharacteristic
959#477—431no—
960#476—431no—
961#475—431no—
962#474—431no—
963#470—431no—
964#469—431no—
965#468—431no—
966#468—431no—
967#467—431no—
968#467—431no—
969#466—431no—
970#466—431no—
971#465—431no—
972#465—431no—
973#465—431no—
974#465—431no—
975#464—431no—
976#464—431no—
977#464—431no—
978#464—431no—
979#463—431no—
980#463—431no—
981#463—431no—
982#463—431no—
983#462—431no—
984#461—431no—
985#460C2×D4311yescharacteristic, complemented
986#459C2×D4311yescharacteristic
987#452—431no—
988#452—431no—
989#452—431no—
990#452—431no—
991#451—431no—
992#450—431no—
993#449—431no—
994#449—431no—
995#449C2×D4311yescharacteristic
996#449C2×D4311yescharacteristic
997#448—431no—
998#447—431no—
999#446—431no—
1000C8×Q8—431no—
1001#442—431no—
1002#442—431no—
1003#442C2×D4311yescharacteristic
1004#441—431no—
1005#441—431no—
1006#441—431no—
1007#440—431no—
1008#440—431no—
1009#440—431no—
1010#440—431no—
1011#440—431no—
1012#440C2×D4311yescharacteristic, complemented
1013C4×Q16—431no—
1014C4×Q16—431no—
1015C4×Q16—431no—
1016C4×Q16—431no—
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16—431no—
1020C4×SD16—431no—
1021C4×SD16—431no—
1022C4×SD16—431no—
1023C4×SD16—431no—
1024C4×SD16C2×D4311yescharacteristic, complemented
1025C4×D8—431no—
1026C4×D8—431no—
1027C4×D8—431no—
1028C4×D8C2×D4311yescharacteristic
1029#436—431no—
1030#435—431no—
1031#435—431no—
1032C8×D4—431no—
1033C8×D4—431no—
1034C8×D4—431no—
1035#433—431no—
1036#433C2×D4311yescharacteristic, complemented
1037#432—431no—
1038#428—431no—
1039#428—431no—
1040#427—431no—
1041#416—431no—
1042#416—431no—
1043#416—431no—
1044#416—431no—
1045C2×#103—431no—
1046C2×#102—431no—
1047#405—431no—
1048#405—431no—
1049C2×C4×C8—431no—
1050C43#6150011yescharacteristic, complemented, Sylow
1051C2×#41—431no—
1052C2×#41—431no—
1053C2×#41—431no—
1054C2×#41C22×D4311yescharacteristic
1055C22×Q8—431no—
1056C22×D4—431no—
1057#137—864no—
1058AGL(1,ℤ/8)—864no—
1059#135—864no—
1060C2×Q16—431no—
1061C2×Q16—431no—
1062C2×Q16—431no—
1063C2×Q16—431no—
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—431no—
1068C2×SD16—431no—
1069C2×SD16—431no—
1070C2×SD16C22×D4311yescharacteristic
1071C2×SD16C22×D4311yescharacteristic
1072C2×D8—431no—
1073C2×D8—431no—
1074C2×D8C22×D4311yescharacteristic
1075C2×D8C22×D4311yescharacteristic
1076C2×M16—431no—
1077C2×M16—431no—
1078C22×C8—431no—
1079C22×C8—431no—
1080C22×C8—431no—
1081C22×C8—431no—
1082C4⋊Q8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—431no—
1085C4⋊Q8—861no—
1086#127—861no—
1087#127C22×D4311yescharacteristic
1088#126—431no—
1089#126—431no—
1090#126—861no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#125—431no—
1105#125—431no—
1106#125—431no—
1107#125—431no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125—861no—
1114#125C22×D4311yescharacteristic
1115#124—431no—
1116#124—431no—
1117#124—431no—
1118#124—431no—
1119#124—431no—
1120#124—861no—
1121#124—861no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#123—21no—
1129#123—21no—
1130#123—431no—
1131#123—431no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146C22⋊Q8—431no—
1147C22⋊Q8—431no—
1148C22⋊Q8—431no—
1149C22⋊Q8—431no—
1150C22⋊Q8—431no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161#121—21no—
1162#121—21no—
1163#121—431no—
1164#121—431no—
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#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121C22×D4311yescharacteristic
1179#121C22×D4311yescharacteristic
1180#120—861no—
1181#120—861no—
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×Q8C22×D4311yescharacteristic
1196C4×Q8C22×D4311yescharacteristic
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—861no—
1209C4×D4—861no—
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×D4—861no—
1224C4×D4C22×D4311yescharacteristic
1225C4×D4C22×D4311yescharacteristic
1226C4×D4C22×D4311yescharacteristic
1227C4×D4C22×D4311yescharacteristic
1228#117—21no—
1229#117—431no—
1230#117—431no—
1231#117—431no—
1232#117—431no—
1233#117—431no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117C22×D4311yescharacteristic
1246C2×C4⋊C4—21no—
1247C2×C4⋊C4—431no—
1248C2×C4⋊C4—861no—
1249C2×C4⋊C4—861no—
1250C2×C4⋊C4—861no—
1251C2×C4⋊C4C22×D4311yescharacteristic
1252C2×C22⋊C4—861no—
1253C2×C22⋊C4—861no—
1254C2×C22⋊C4—861no—
1255C2×C22⋊C4—861no—
1256C2×C42—431no—
1257C2×C42—861no—
1258C2×C42—861no—
1259#107—431no—
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107C22×D4311yescharacteristic
1266#107C22×D4311yescharacteristic
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106C22×D4311yescharacteristic
1274#106C22×D4311yescharacteristic
1275C4⋊C8—431no—
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8—431no—
1279C4⋊C8C22×D4311yescharacteristic
1280C4⋊C8C22×D4311yescharacteristic
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#103—431no—
1293#103—431no—
1294#103—431no—
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#102—431no—
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102C22×D4311yescharacteristic
1308#102C22×D4311yescharacteristic
1309#102C22×D4311yescharacteristic
1310#102C22×D4311yescharacteristic
1311#102C22×D4311yescharacteristic
1312#102C22×D4311yescharacteristic
1313C22⋊C8—431no—
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8—431no—
1317C22⋊C8C22×D4311yescharacteristic
1318C22⋊C8C22×D4311yescharacteristic
1319#97—431no—
1320#97—431no—
1321#97—431no—
1322#97C22×D4311yescharacteristic
1323C4×C8—431no—
1324C4×C8—431no—
1325C4×C8—431no—
1326C4×C8—431no—
1327C4×C8—431no—
1328C4×C8C22×D4311yescharacteristic
1329C24—861no—
1330#41—22no—
1331#41—41no—
1332#41—862no—
1333#41—862no—
1334#41—862no—
1335#41—1721no—
1336#41—1721no—
1337#41—1721no—
1338C2×Q8—431no—
1339C2×Q8—431no—
1340C2×Q8—431no—
1341C2×Q8—431no—
1342C2×Q8—861no—
1343C2×Q8—862no—
1344C2×Q8—861no—
1345C2×Q8—861no—
1346C2×Q8—1721no—
1347C2×Q8C23×D4311yescharacteristic
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—431no—
1354C2×D4—431no—
1355C2×D4—431no—
1356C2×D4—431no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—862no—
1360C2×D4—861no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—1721no—
1367C2×D4C23×D4311yescharacteristic
1368C2×D4C23×D4311yescharacteristic
1369C2×D4C23×D4311yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—431no—
1377C22×C4—431no—
1378C22×C4—431no—
1379C22×C4—431no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4—861no—
1384C22×C4—861no—
1385C22×C4—861no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4C23×D4311yescharacteristic
1392Q16—862no—
1393Q16—862no—
1394Q16—862no—
1395Q16—1721no—
1396SD16—41no—
1397SD16—41no—
1398SD16—434no—
1399SD16—862no—
1400SD16—862no—
1401SD16—862no—
1402SD16—1721no—
1403SD16—1721no—
1404D8—22no—
1405D8—22no—
1406D8—862no—
1407D8—1721no—
1408M16—862no—
1409M16—862no—
1410C2×C8—431no—
1411C2×C8—431no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—862no—
1415C2×C8—1721no—
1416C2×C8—1721no—
1417C2×C8—1721no—
1418C2×C8C23×D4311yescharacteristic
1419C2×C8C23×D4311yescharacteristic
1420C2×C8C23×D4311yescharacteristic
1421C2×C8C23×D4311yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
1433C4⋊C4—431no—
1434C4⋊C4—431no—
1435C4⋊C4—431no—
1436C4⋊C4—431no—
1437C4⋊C4—431no—
1438C4⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1466C4⋊C4C23×D4311yescharacteristic
1467C4⋊C4C23×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—431no—
1477C22⋊C4—431no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4D4×D4311yescharacteristic
1513C22⋊C4D4×D4311yescharacteristic
1514C42—21no—
1515C42—21no—
1516C42—431no—
1517C42—431no—
1518C42—431no—
1519C42—431no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42C23×D4311yescharacteristic
1533C42C23×D4311yescharacteristic
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—431no—
1538C23—431no—
1539C23—861no—
1540C23—3441no—
1541C23—3441no—
1542C23—1722no—
1543C23C2×D4×D4311yescharacteristic
1544Q8—21no—
1545Q8—21no—
1546Q8—432no—
1547Q8—861no—
1548Q8—861no—
1549Q8—861no—
1550Q8—861no—
1551Q8—861no—
1552Q8—3441no—
1553Q8—3441no—
1554Q8—1721no—
1555Q8—1722no—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—42no—
1562D4—81no—
1563D4—81no—
1564D4—81no—
1565D4—81no—
1566D4—861no—
1567D4—861no—
1568D4—3441no—
1569D4—3441no—
1570D4—3441no—
1571D4—3441no—
1572D4—1721no—
1573D4—1721no—
1574D4—1721no—
1575D4—1722no—
1576D4—1722no—
1577D4—1722no—
1578D4—1722no—
1579D4#41×D4312yes—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—42no—
1588C2×C4—81no—
1589C2×C4—81no—
1590C2×C4—81no—
1591C2×C4—81no—
1592C2×C4—81no—
1593C2×C4—431no—
1594C2×C4—431no—
1595C2×C4—431no—
1596C2×C4—431no—
1597C2×C4—431no—
1598C2×C4—431no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—861no—
1609C2×C4—861no—
1610C2×C4—3441no—
1611C2×C4—3441no—
1612C2×C4—3441no—
1613C2×C4—3441no—
1614C2×C4—3441no—
1615C2×C4—3441no—
1616C2×C4—3441no—
1617C2×C4—1721no—
1618C2×C4—1721no—
1619C2×C4—1722no—
1620C2×C4—1722no—
1621C2×C4—1722no—
1622C2×C4—1722no—
1623C2×C4C2×D4×D4311yescharacteristic
1624C2×C4C2×D4×D4311yescharacteristic
1625C2×C4C2×D4×D4311yescharacteristic
1626C2×C4C2×D4×D4311yescharacteristic
1627C2×C4C2×D4×D4311yescharacteristic
1628C2×C4C24×D4311yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—432no—
1634C8—861no—
1635C8—861no—
1636C8—861no—
1637C22—21no—
1638C22—22no—
1639C22—21no—
1640C22—21no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—861no—
1650C22—861no—
1651C22—861no—
1652C22—861no—
1653C22—861no—
1654C22—861no—
1655C22—1721no—
1656C22—1721no—
1657C22—1721no—
1658C22—6882no—
1659C22C22×D4×D4311yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—861no—
1671C4—861no—
1672C4—862no—
1673C4—861no—
1674C4—861no—
1675C4—861no—
1676C4—861no—
1677C4—1721no—
1678C4—1721no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4C2×#41×D4311yescharacteristic
1684C4#1458373511yescharacteristic
1685C2—41no—
1686C2—42no—
1687C2—81no—
1688C2—81no—
1689C2—3441no—
1690C2—1721no—
1691C2—1721no—
1692C2#1914807811yescharacteristic
1693C2#1914936311yescharacteristic
1694C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3119C2
socleC22×C43C23×D4
hypercenter#3119D43
hypocenterC43#61500
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3119

Complements

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

NH ≅ G/Ntype
1. #19148698C2semidirect
2. #19148665C2semidirect
3. #19147654C2semidirect
4. #19147537C2semidirect
5. #19147283C2semidirect
6. #19147259C2semidirect
7. #19147159C2semidirect
8. #19147132C2semidirect
9. #19147098C2semidirect
10. #19146537C2semidirect
11. #19146516C2semidirect
12. #19146495C2semidirect
13. #19146480C2semidirect
14. #19146438C2semidirect
15. #19146427C2semidirect
16. #19146224C2semidirect
17. #19146148C2semidirect
18. #19146141C2semidirect
19. #19145280C2semidirect
20. #19145261C2semidirect
21. #19145161C2semidirect
22. #19144826C2semidirect
23. #19144805C2semidirect
24. #19144775C2semidirect
25. #19144708C2semidirect
26. #19144700C2semidirect
27. #19143568C2semidirect
28. #19143434C2semidirect
29. #19143424C2semidirect
30. C4×#13063344C2semidirect
31. C43×#3119C2semidirect
35. #14583635C22semidirect
37. #14583626C22semidirect
41. #14583613C22semidirect
55. #14583555C22semidirect
67. #14583431C22semidirect
74. #14583376C22semidirect
77. C4×#10621900C22semidirect
78. #14583309C22semidirect
79. #14583307C22semidirect
80. #14583299C22semidirect
81. #14583290C22semidirect
86. #14583252C22semidirect
87. #14583252C22semidirect
88. #14583248C22semidirect
89. #14583245C22semidirect
90. #14583243C22semidirect
92. #14583241C22semidirect
93. #14583239C22semidirect
99. #14583222C22semidirect
100. #14583209C22semidirect
101. #14583209C22semidirect
102. #14583205C22semidirect
104. #14583197C22semidirect
105. #14583197C22semidirect
106. #14583195C22semidirect
108. #14583185C22semidirect
113. #14583143C22semidirect
115. #14583139C22semidirect
119. #14583126C22semidirect
121. #14583125C22semidirect
125. #14583120C22semidirect
130. #14583108C22semidirect
131. #14583102C22semidirect
135. #14583058C22semidirect
136. #14583057C22semidirect
142. #14583028C22semidirect
143. #14583023C22semidirect
146. #14583007C22semidirect
147. #14583004C22semidirect
148. #14583004C22semidirect
152. #14582999C22semidirect
154. C4×Dic172C22semidirect
155. #14582993C22semidirect
156. C4×#10621885C22semidirect
157. C4×#10621885C22semidirect
159. #14582990C22semidirect
164. C4×#10621883C22semidirect
169. #14582973C22semidirect
173. (C22⋊D43)⋊C8C22semidirect
175. #14582954C22semidirect
176. #14582939C22semidirect
178. #14582936C22semidirect
182. #14582892C22semidirect
183. C2×#13063248C22semidirect
186. #14582855C22semidirect
187. C4×C8×D43C22semidirect
188. C43×#540C22semidirect
190. C43×#481C22semidirect
191. C43×#480C22semidirect
192. C43×#479C22semidirect
194. C43×#460C22semidirect
199. C43×#440C22semidirect
200. C4×SD16×C43C22semidirect
202. C43×#433C22semidirect
861. #3119D43semidirect
911. #540C2×D43semidirect
949. #481C2×D43semidirect
950. #480C2×D43semidirect
954. #479C2×D43semidirect
985. #460C2×D43semidirect
1012. #440C2×D43semidirect
1024. C4×SD16C2×D43semidirect
1036. #433C2×D43semidirect
1050. C43#61500semidirect

Maximal subgroups

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

subgroupindex
#191486982
#191486652
#191476542
#191475372
#191472832
#191472592
#191471592
#191471322
#191470982
#191465372
#191465162
#191464952
#191464802
#191464382
#191464272
#191462242
#191461482
#191461412
#191452802
#191452612
#191451612
#191448262
#191448052
#191447752
#191447082
#191447002
#191435682
#191434342
#191434242
C4×#130633442
C43×#31192
#6150043