Finite Group Databasebeta

← #25979616

Subgroups — #25979616

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#19148695C211yesmaximal, characteristic, complemented
2#19148664C211yesmaximal, characteristic, complemented
3#19147668C211yesmaximal, characteristic, complemented
4#19147533C211yesmaximal, characteristic, complemented
5#19147285C211yesmaximal, characteristic, complemented
6#19147256C211yesmaximal, characteristic, complemented
7#19147153C211yesmaximal, characteristic, complemented
8#19147129C211yesmaximal, characteristic, complemented
9#19147095C211yesmaximal, characteristic, complemented
10#19146529C211yesmaximal, characteristic, complemented
11#19146499C211yesmaximal, characteristic, complemented
12#19146488C211yesmaximal, characteristic, complemented
13#19146446C211yesmaximal, characteristic, complemented
14#19146431C211yesmaximal, characteristic, complemented
15#19146224C211yesmaximal, characteristic, complemented
16#19146146C211yesmaximal, characteristic, complemented
17#19146139C211yesmaximal, characteristic, complemented
18#19145273C211yesmaximal, characteristic, complemented
19#19145270C211yesmaximal, characteristic, complemented
20#19145158C211yesmaximal, characteristic, complemented
21#19144827C211yesmaximal, characteristic, complemented
22#19144806C211yesmaximal, characteristic, complemented
23#19144795C211yesmaximal, characteristic, complemented
24#19144784C211yesmaximal, characteristic, complemented
25#19144707C211yesmaximal, characteristic, complemented
26#19144697C211yesmaximal, characteristic, complemented
27#19143563C211yesmaximal, characteristic, complemented
28#19143441C211yesmaximal, characteristic, complemented
29#19143420C211yesmaximal, characteristic, complemented
30#19143363C211yesmaximal, characteristic, complemented
31C43×#3303C211yesmaximal, characteristic, complemented
32C2×#13063355C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063345C2211yescharacteristic
35#14583632C2211yescharacteristic, complemented
36#14583631—21no—
37#14583624C2211yescharacteristic, complemented
38#14583623C2211yescharacteristic
39#14583620C2211yescharacteristic
40#14583611—21no—
41#14583608C2211yescharacteristic
42#14583595C2211yescharacteristic
43#14583593C2211yescharacteristic
44#14583592—21no—
45#14583592—21no—
46#14583591C2211yescharacteristic
47#14583588C2211yescharacteristic
48#14583584—21no—
49#14583582—21no—
50#14583572—21no—
51#14583572—21no—
52#14583567C2211yescharacteristic
53#14583558C2211yescharacteristic, complemented
54#14583555C2211yescharacteristic
55#14583537C2211yescharacteristic
56#14583537C2211yescharacteristic
57#14583523C2211yescharacteristic
58#14583522C2211yescharacteristic
59#14583513—21no—
60#14583510C2211yescharacteristic
61#14583502C2211yescharacteristic, complemented
62#14583499—21no—
63#14583493—21no—
64#14583486—21no—
65#14583435C2211yescharacteristic
66#14583430C2211yescharacteristic, complemented
67#14583429C2211yescharacteristic
68#14583428—21no—
69#14583427—21no—
70#14583426—21no—
71C2×#13063320—21no—
72#14583382C2211yescharacteristic
73#14583378C2211yescharacteristic
74#14583376C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic
76#41×Dic43C2211yescharacteristic
77#14583367C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583299C2211yescharacteristic, complemented
81#14583291C2211yescharacteristic, complemented
82#14583285C2211yescharacteristic
83#14583280C2211yescharacteristic
84#14583255C2211yescharacteristic
85#14583255C2211yescharacteristic
86#14583254C2211yescharacteristic, complemented
87#14583252C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583243C2211yescharacteristic
90#14583241C2211yescharacteristic, complemented
91#14583233C2211yescharacteristic
92#14583228C2211yescharacteristic
93#14583225C2211yescharacteristic
94#14583223C2211yescharacteristic
95#14583223C2211yescharacteristic
96#14583220C2211yescharacteristic, complemented
97#14583218C2211yescharacteristic, complemented
98#14583210C2211yescharacteristic, complemented
99#14583209C2211yescharacteristic, complemented
100#14583207C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583204C2211yescharacteristic, complemented
103#14583202C2211yescharacteristic, complemented
104#14583201C2211yescharacteristic
105#14583199C2211yescharacteristic, complemented
106#14583197C2211yescharacteristic
107#14583193C2211yescharacteristic, complemented
108#14583183C2211yescharacteristic, complemented
109#14583176C2211yescharacteristic
110#14583156C2211yescharacteristic
111#14583150C2211yescharacteristic
112#14583148C2211yescharacteristic
113#14583147C2211yescharacteristic, complemented
114#14583139C2211yescharacteristic
115#14583138C2211yescharacteristic, complemented
116#14583135C2211yescharacteristic
117#14583133C2211yescharacteristic
118#14583131C2211yescharacteristic
119#14583128C2211yescharacteristic
120#14583124C2211yescharacteristic
121#14583124C2211yescharacteristic
122#14583124C2211yescharacteristic
123#14583119C2211yescharacteristic, complemented
124#14583117C2211yescharacteristic
125#14583115C2211yescharacteristic
126#14583114C2211yescharacteristic
127#14583112C2211yescharacteristic
128#14583106C2211yescharacteristic, complemented
129#14583097C2211yescharacteristic, complemented
130#14583092C2211yescharacteristic
131#14583061C2211yescharacteristic
132#14583059C2211yescharacteristic, complemented
133#14583058C2211yescharacteristic
134#14583058C2211yescharacteristic
135#14583054C2211yescharacteristic, complemented
136#14583051C2211yescharacteristic
137#14583046C2211yescharacteristic
138#14583044C2211yescharacteristic
139#14583040C2211yescharacteristic
140#14583034C2211yescharacteristic
141#14583028C2211yescharacteristic, complemented
142C8×Dic86C2211yescharacteristic, complemented
143#14583011C2211yescharacteristic
144#14583010C2211yescharacteristic
145#14583009C2211yescharacteristic
146#14583003C2211yescharacteristic, complemented
147#14583003C2211yescharacteristic, complemented
148#14583003C2211yescharacteristic, complemented
149#14583002C2211yescharacteristic, complemented
150#14583000C2211yescharacteristic, complemented
151#14582999C2211yescharacteristic
152#14582998C2211yescharacteristic
153#14582996C2211yescharacteristic
154#14582996C2211yescharacteristic
155#14582991C2211yescharacteristic, complemented
156#14582991C2211yescharacteristic, complemented
157#14582991C2211yescharacteristic, complemented
158#14582991C2211yescharacteristic, complemented
159#14582990C2211yescharacteristic
160#14582990C2211yescharacteristic
161#14582990C2211yescharacteristic
162C4×#10621873C2211yescharacteristic
163SD16×Dic43C2211yescharacteristic, complemented
164#14582986C2211yescharacteristic
165#14582984C2211yescharacteristic, complemented
166#14582984C2211yescharacteristic, complemented
167#14582979C2211yescharacteristic
168#14582979C2211yescharacteristic
169#14582979C2211yescharacteristic
170#14582974C2211yescharacteristic
171#14582971C2211yescharacteristic, complemented
172#14582967C2211yescharacteristic
173C8×C22⋊D43C2211yescharacteristic
174C8×C22⋊D43C2211yescharacteristic
175#14582959C2211yescharacteristic
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582942C2211yescharacteristic, complemented
179#14582940C2211yescharacteristic
180#14582935C2211yescharacteristic, complemented
181#14582896C2211yescharacteristic, complemented
182#14582892C2211yescharacteristic
183C2×#13063250C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582854C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic
187C2×C8×Dic43C2211yescharacteristic, complemented
188C43×#555C2211yescharacteristic, complemented
189C43×#547C2211yescharacteristic
190C43×#487C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#485C2211yescharacteristic, complemented
193C43×#476C2211yescharacteristic
194C43×#465C2211yescharacteristic, complemented
195C43×#465C2211yescharacteristic, complemented
196C43×#461C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic
198C43×#449C2211yescharacteristic
199C4×D8×C43C2211yescharacteristic
200C8×D4×C43C2211yescharacteristic, complemented
201C43×#416C2211yescharacteristic
202C43×#416C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C22×Dic86C2311yescharacteristic
206C2×D4×D43C2311yescharacteristic
207#13063355—24no—
208#13063349—24no—
209#13063345—24no—
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×D344C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621877C2311yescharacteristic
224C2×#10621872C2311yescharacteristic
225C22×C43⋊C8C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063323—21no—
229#13063321—21no—
230#13063321C2311yescharacteristic
231#13063320—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320D411yescharacteristic
242#13063319—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318D411yescharacteristic
247#13063317—21no—
248#13063317C2311yescharacteristic
249#13063316—21no—
250#13063316C2311yescharacteristic
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315D411yescharacteristic
258#13063314—21no—
259#13063314C2311yescharacteristic
260#13063314C2311yescharacteristic
261#13063313C2311yescharacteristic
262#13063312C2311yescharacteristic
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063311—21no—
267#13063311—21no—
268#13063311D411yescharacteristic
269#13063310—21no—
270#13063309—21no—
271#13063309—21no—
272#13063309—21no—
273#13063309D411yescharacteristic
274#13063308—21no—
275#13063308—21no—
276#13063308—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063306—21no—
284#13063306D411yescharacteristic
285#13063305—21no—
286#13063305—21no—
287#13063305C2311yescharacteristic
288#13063304—21no—
289#13063304C2311yescharacteristic
290#13063303—21no—
291#13063302—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302D411yescharacteristic
295#13063301—21no—
296#13063301C2311yescharacteristic
297#13063301C2311yescharacteristic
298#13063300C2311yescharacteristic
299#13063299C2311yescharacteristic
300#13063299C2311yescharacteristic
301#13063299C2311yescharacteristic
302#13063298—21no—
303#13063298—21no—
304#13063297—21no—
305#13063297—21no—
306#13063297—21no—
307#13063297—21no—
308#13063297—21no—
309#13063297—21no—
310#13063297—21no—
311#13063297D411yescharacteristic
312#13063296—21no—
313#13063293—21no—
314#13063293—21no—
315Q8×Dic43—21no—
316Q8×Dic43C2311yescharacteristic
317Q8×Dic43C2311yescharacteristic
318Q8×Dic43C2311yescharacteristic
319Q8×Dic43C2311yescharacteristic
320C4×Dic86—21no—
321C4×Dic86—21no—
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324#13063290—21no—
325#13063290C2311yescharacteristic
326#13063290C2311yescharacteristic
327#13063290C2311yescharacteristic
328#13063290C2311yescharacteristic
329#13063290C2311yescharacteristic
330C4×D172—21no—
331C4×D172C2311yescharacteristic
332D4×Dic43—21no—
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43—21no—
336D4×Dic43—21no—
337D4×Dic43—21no—
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43C2311yescharacteristic
349C4×C22⋊D43C2311yescharacteristic
350(C22⋊D43)⋊C4—21no—
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(C22⋊D43)⋊C4—21no—
358#13063284—21no—
359#13063284—21no—
360#13063284C2311yescharacteristic
361#13063284C2311yescharacteristic
362#13063283—21no—
363#13063283—21no—
364#13063283C2311yescharacteristic
365#13063282—21no—
366#13063282—21no—
367#13063282C2311yescharacteristic
368#13063281—21no—
369#13063281—21no—
370#13063281—21no—
371#13063281—21no—
372#13063281—21no—
373C2×C4⋊Dic43—21no—
374C2×C4⋊Dic43C2311yescharacteristic
375C2×Dic43⋊C4—21no—
376C2×Dic43⋊C4—21no—
377C4⋊C4×D43C2311yescharacteristic
378C2×(C2×D43)⋊C4—21no—
379C2×(C2×D43)⋊C4—21no—
380C2×(C2×D43)⋊C4—21no—
381C22⋊C4×D43—21no—
382C2×C4×Dic43—21no—
383C2×C4×Dic43C2311yescharacteristic
384C42×D43—21no—
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063257C2311yescharacteristic
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#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C2×#41×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444C22×C8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446C4⋊Q8×C43C2311yescharacteristic
447#124×C43—21no—
448#124×C43—21no—
449#123×C43—21no—
450#123×C43—21no—
451C22⋊Q8×C43C2311yescharacteristic
452C22⋊Q8×C43C2311yescharacteristic
453#121×C43—21no—
454#121×C43—21no—
455#121×C43C2311yescharacteristic
456#121×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460#117×C43—21no—
461#117×C43C2311yescharacteristic
462#117×C43C2311yescharacteristic
463C2×C4⋊C4×C43—21no—
464#107×C43C2311yescharacteristic
465#106×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#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482#41×C43—22no—
483#41×C43—22no—
484#41×C43—41no—
485#41×C43—41no—
486C2×Q8×C43—21no—
487C2×Q8×C43C2411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43C2×D411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43C2411yescharacteristic
501C22×C4×C43C2411yescharacteristic
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43C2×D411yescharacteristic
511C2×C22⋊D43C2×D411yescharacteristic
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43C2×D411yescharacteristic
520C22×Dic43C2×D411yescharacteristic
521#10621900—22no—
522#10621900—41no—
523D4×D43—22no—
524D4×D43—41no—
525#10621898—22no—
526#10621898—41no—
527C2×D172—21no—
528C2×D172C2411yescharacteristic
529C2×D172C2411yescharacteristic
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43C2411yescharacteristic
537C2×Dic86—22no—
538C2×Dic86—21no—
539C2×Dic86—21no—
540C2×Dic86—41no—
541C2×Dic86C2×D411yescharacteristic
542C2×Dic86C2411yescharacteristic
543C2×Dic86C2411yescharacteristic
544SD16×C43—41no—
545SD16×C43—41no—
546D8×C43—22no—
547C2×C8×C43—41no—
548C2×C8×C43—41no—
549C2×C8×C43C2411yescharacteristic
550C2×C8×C43C2411yescharacteristic
551C2×C8×C43C2411yescharacteristic
552C2×C8×C43C2411yescharacteristic
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
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×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43C2×D411yescharacteristic
572C22⋊C4×C43C2×D411yescharacteristic
573C42×C43—21no—
574C42×C43—21no—
575C42×C43C2411yescharacteristic
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⋊Dic43C2×D411yescharacteristic
585C22⋊Dic43C2×D411yescharacteristic
586C22⋊Dic43C2×D411yescharacteristic
587C22⋊Dic43C2×D411yescharacteristic
588#10621885—22no—
589#10621885—22no—
590#10621885—22no—
591#10621885—41no—
592#10621884—22no—
593#10621884—41no—
594#10621883—22no—
595#10621883#4114yes—
596#10621882—22no—
597#10621882—22no—
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)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43C2×D411yescharacteristic
630C4⋊Dic43C2×D411yescharacteristic
631C4⋊Dic43C2×D411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
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
681D344—41no—
682#10621873—22no—
683#10621873—41no—
684#10621872—22no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43C22×D411yescharacteristic
689C23×C43C22×D411yescharacteristic
690C22×D43—21no—
691C22×D43—21no—
692C22×D43—42no—
693C22×D43—81no—
694C22×D43—81no—
695C22×D43C22×D411yescharacteristic
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—21no—
699Q8×C43—21no—
700Q8×C43—81no—
701D4×C43—21no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—41no—
705D4×C43—42no—
706D4×C43—42no—
707D4×C43—81no—
708D4×C43—81no—
709D4×C43C2×#4112yes—
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—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—42no—
721C2×C4×C43—42no—
722C2×C4×C43—81no—
723C2×C4×C43—81no—
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C2511yescharacteristic
729C22⋊D43—41no—
730C22⋊D43—41no—
731C22⋊D43—42no—
732C22⋊D43—42no—
733C22⋊D43—42no—
734C22⋊D43—81no—
735C22⋊D43—81no—
736C22⋊D43—81no—
737C22⋊D43—81no—
738C22⋊D43—81no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—41no—
746C2×Dic43—41no—
747C2×Dic43—42no—
748C2×Dic43—42no—
749C2×Dic43—81no—
750C2×Dic43—81no—
751C2×Dic43—81no—
752C2×Dic43—81no—
753C2×Dic43—81no—
754C2×Dic43C22×D411yescharacteristic
755C2×Dic43C22×D411yescharacteristic
756C2×Dic43C22×D411yescharacteristic
757C2×Dic43C22×D411yescharacteristic
758C2×Dic43C22×D411yescharacteristic
759C2×Dic43C22×D411yescharacteristic
760C2×Dic43C22×D411yescharacteristic
761D172—21no—
762D172—21no—
763D172—21no—
764D172—21no—
765D172—81no—
766C4×D43—21no—
767C4×D43—21no—
768C4×D43—42no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774Dic86—21no—
775Dic86—21no—
776Dic86—21no—
777Dic86—41no—
778Dic86—42no—
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—21no—
793C22×C43—21no—
794C22×C43—22no—
795C22×C43—21no—
796C22×C43—21no—
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—41no—
807C2×D43—41no—
808C2×D43—41no—
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—41no—
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—21no—
830Dic43—21no—
831Dic43—22no—
832Dic43—21no—
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#3303D4311yescharacteristic, complemented
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#3119—431no—
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—41no—
872C2×C43—81no—
873C2×C43D4×#4111yescharacteristic
874C2×C43#358411yescharacteristic
875C2×C43#358411yescharacteristic
876D43—41no—
877D43—81no—
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—861no—
888#555C2×D4311yescharacteristic, complemented
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#547C2×D4311yescharacteristic
904#546—431no—
905#546—431no—
906#542—431no—
907#542—431no—
908#542—861no—
909#541—431no—
910#540—431no—
911#540—861no—
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#520—431no—
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#487C2×D4311yescharacteristic, complemented
938#486—431no—
939#485—431no—
940#485—431no—
941#485C2×D4311yescharacteristic, complemented
942#485C2×D4311yescharacteristic, complemented
943#484—431no—
944#483—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#481—431no—
950#480—431no—
951#479—431no—
952#479—431no—
953#479—431no—
954#479—431no—
955#478—431no—
956#478—431no—
957#478—431no—
958#478—431no—
959#477—431no—
960#476C2×D4311yescharacteristic
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#465C2×D4311yescharacteristic, complemented
974#465C2×D4311yescharacteristic, complemented
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#461C2×D4311yescharacteristic, complemented
985#460—431no—
986#459—431no—
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#442—431no—
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#440—431no—
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×SD16—431no—
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×D4C2×D4311yescharacteristic, complemented
1035#433—431no—
1036#433—431no—
1037#432—431no—
1038#428—431no—
1039#428—431no—
1040#427—431no—
1041#416—431no—
1042#416—431no—
1043#416C2×D4311yescharacteristic
1044#416C2×D4311yescharacteristic
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×#41C22×D4311yescharacteristic
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×D8—431no—
1075C2×D8C22×D4311yescharacteristic
1076C2×M16—431no—
1077C2×M16—431no—
1078C22×C8—431no—
1079C22×C8—431no—
1080C22×C8C22×D4311yescharacteristic
1081C22×C8C22×D4311yescharacteristic
1082C4⋊Q8—431no—
1083C4⋊Q8—861no—
1084C4⋊Q8C22×D4311yescharacteristic
1085C4⋊Q8C22×D4311yescharacteristic
1086#127—431no—
1087#127—861no—
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—431no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125—861no—
1114#125—861no—
1115#124—21no—
1116#124—21no—
1117#124—431no—
1118#124—431no—
1119#124—431no—
1120#124—431no—
1121#124—431no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#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—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8C22×D4311yescharacteristic
1160C22⋊Q8C22×D4311yescharacteristic
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—431no—
1192C4×Q8—431no—
1193C4×Q8—861no—
1194C4×Q8—861no—
1195C4×Q8—861no—
1196C4×Q8—861no—
1197C4×D4—431no—
1198C4×D4—431no—
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—861no—
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×D4—861no—
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—861no—
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#117C22×D4311yescharacteristic
1245#117C22×D4311yescharacteristic
1246C2×C4⋊C4—21no—
1247C2×C4⋊C4—431no—
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—861no—
1250C2×C4⋊C4—861no—
1251C2×C4⋊C4—861no—
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#107—431no—
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⋊C8—431no—
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#103C22×D4311yescharacteristic
1292#103C22×D4311yescharacteristic
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
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#102—431no—
1308#102—431no—
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#97—431no—
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—22no—
1332#41—41no—
1333#41—41no—
1334#41—862no—
1335#41—862no—
1336#41—1721no—
1337#41—1721no—
1338C2×Q8—21no—
1339C2×Q8—431no—
1340C2×Q8—431no—
1341C2×Q8—431no—
1342C2×Q8—861no—
1343C2×Q8—862no—
1344C2×Q8—861no—
1345C2×Q8—1721no—
1346C2×Q8C23×D4311yescharacteristic
1347C2×Q8C23×D4311yescharacteristic
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—431no—
1355C2×D4—431no—
1356C2×D4—861no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4—862no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—1721no—
1367C2×D4D4×D4311yescharacteristic
1368C2×D4C23×D4311yescharacteristic
1369C2×D4C23×D4311yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—431no—
1375C22×C4—431no—
1376C22×C4—431no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4—861no—
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×C4C23×D4311yescharacteristic
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—862no—
1406D8—862no—
1407D8—1721no—
1408M16—862no—
1409M16—862no—
1410C2×C8—41no—
1411C2×C8—41no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—431no—
1415C2×C8—431no—
1416C2×C8—862no—
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—431no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4D4×D4311yescharacteristic
1466C4⋊C4C23×D4311yescharacteristic
1467C4⋊C4C23×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—431no—
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—431no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42C23×D4311yescharacteristic
1534C23—21no—
1535C23—21no—
1536C23—431no—
1537C23—861no—
1538C23—861no—
1539C23—3441no—
1540C23—3441no—
1541C23—1722no—
1542C23C2×D4×D4311yescharacteristic
1543C23C2×D4×D4311yescharacteristic
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—81no—
1549Q8—432no—
1550Q8—861no—
1551Q8—861no—
1552Q8—861no—
1553Q8—3441no—
1554Q8—1721no—
1555Q8—1722no—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—41no—
1560D4—42no—
1561D4—42no—
1562D4—81no—
1563D4—81no—
1564D4—861no—
1565D4—861no—
1566D4—861no—
1567D4—861no—
1568D4—3441no—
1569D4—3441no—
1570D4—3441no—
1571D4—3441no—
1572D4—3441no—
1573D4—3441no—
1574D4—1721no—
1575D4—1721no—
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—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—42no—
1591C2×C4—42no—
1592C2×C4—81no—
1593C2×C4—81no—
1594C2×C4—431no—
1595C2×C4—431no—
1596C2×C4—431no—
1597C2×C4—431no—
1598C2×C4—431no—
1599C2×C4—431no—
1600C2×C4—431no—
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—3441no—
1610C2×C4—3441no—
1611C2×C4—3441no—
1612C2×C4—3441no—
1613C2×C4—3441no—
1614C2×C4—3441no—
1615C2×C4—3441no—
1616C2×C4—3441no—
1617C2×C4—3441no—
1618C2×C4—3441no—
1619C2×C4—1722no—
1620C2×C4—1721no—
1621C2×C4—1721no—
1622C2×C4—1722no—
1623C2×C4—1722no—
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—21no—
1639C22—22no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—861no—
1650C22—861no—
1651C22—861no—
1652C22—1721no—
1653C22—1721no—
1654C22—1721no—
1655C22—1721no—
1656C22—1721no—
1657C22—1721no—
1658C22—6882no—
1659C22C22×D4×D4311yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—861no—
1671C4—862no—
1672C4—861no—
1673C4—861no—
1674C4—861no—
1675C4—861no—
1676C4—861no—
1677C4—861no—
1678C4—1721no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4C2×#41×D4311yescharacteristic
1684C4#1458373411yescharacteristic
1685C2—41no—
1686C2—41no—
1687C2—42no—
1688C2—81no—
1689C2—3441no—
1690C2—3441no—
1691C2—1721no—
1692C2#1914807911yescharacteristic
1693C2#1914936411yescharacteristic
1694C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3303C2
socleC22×C43C23×D4
hypercenter#3303D43
hypocenterC43#61500
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3303

Complements

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

NH ≅ G/Ntype
1. #19148695C2semidirect
2. #19148664C2semidirect
3. #19147668C2semidirect
4. #19147533C2semidirect
5. #19147285C2semidirect
6. #19147256C2semidirect
7. #19147153C2semidirect
8. #19147129C2semidirect
9. #19147095C2semidirect
10. #19146529C2semidirect
11. #19146499C2semidirect
12. #19146488C2semidirect
13. #19146446C2semidirect
14. #19146431C2semidirect
15. #19146224C2semidirect
16. #19146146C2semidirect
17. #19146139C2semidirect
18. #19145273C2semidirect
19. #19145270C2semidirect
20. #19145158C2semidirect
21. #19144827C2semidirect
22. #19144806C2semidirect
23. #19144795C2semidirect
24. #19144784C2semidirect
25. #19144707C2semidirect
26. #19144697C2semidirect
27. #19143563C2semidirect
28. #19143441C2semidirect
29. #19143420C2semidirect
30. #19143363C2semidirect
31. C43×#3303C2semidirect
35. #14583632C22semidirect
37. #14583624C22semidirect
53. #14583558C22semidirect
61. #14583502C22semidirect
66. #14583430C22semidirect
74. #14583376C22semidirect
77. #14583367C22semidirect
78. #14583306C22semidirect
79. #14583305C22semidirect
80. #14583299C22semidirect
81. #14583291C22semidirect
86. #14583254C22semidirect
87. #14583252C22semidirect
88. #14583244C22semidirect
90. #14583241C22semidirect
96. #14583220C22semidirect
97. #14583218C22semidirect
98. #14583210C22semidirect
99. #14583209C22semidirect
100. #14583207C22semidirect
101. #14583204C22semidirect
102. #14583204C22semidirect
103. #14583202C22semidirect
105. #14583199C22semidirect
107. #14583193C22semidirect
108. #14583183C22semidirect
113. #14583147C22semidirect
115. #14583138C22semidirect
123. #14583119C22semidirect
128. #14583106C22semidirect
129. #14583097C22semidirect
132. #14583059C22semidirect
135. #14583054C22semidirect
141. #14583028C22semidirect
142. C8×Dic86C22semidirect
146. #14583003C22semidirect
147. #14583003C22semidirect
148. #14583003C22semidirect
149. #14583002C22semidirect
150. #14583000C22semidirect
155. #14582991C22semidirect
156. #14582991C22semidirect
157. #14582991C22semidirect
158. #14582991C22semidirect
163. SD16×Dic43C22semidirect
165. #14582984C22semidirect
166. #14582984C22semidirect
171. #14582971C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582942C22semidirect
180. #14582935C22semidirect
181. #14582896C22semidirect
183. C2×#13063250C22semidirect
185. #14582854C22semidirect
187. C2×C8×Dic43C22semidirect
188. C43×#555C22semidirect
190. C43×#487C22semidirect
191. C43×#485C22semidirect
192. C43×#485C22semidirect
194. C43×#465C22semidirect
195. C43×#465C22semidirect
196. C43×#461C22semidirect
200. C8×D4×C43C22semidirect
848. #3303D43semidirect
888. #555C2×D43semidirect
937. #487C2×D43semidirect
941. #485C2×D43semidirect
942. #485C2×D43semidirect
973. #465C2×D43semidirect
974. #465C2×D43semidirect
984. #461C2×D43semidirect
1034. C8×D4C2×D43semidirect
1050. C43#61500semidirect

Maximal subgroups

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

subgroupindex
#191486952
#191486642
#191476682
#191475332
#191472852
#191472562
#191471532
#191471292
#191470952
#191465292
#191464992
#191464882
#191464462
#191464312
#191462242
#191461462
#191461392
#191452732
#191452702
#191451582
#191448272
#191448062
#191447952
#191447842
#191447072
#191446972
#191435632
#191434412
#191434202
#191433632
C43×#33032
#6150043