Finite Group Databasebeta

← #25979845

Subgroups — #25979845

Order 11008.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148696C211yesmaximal, characteristic, complemented
2#19148642C211yesmaximal, characteristic, complemented
3#19147659C211yesmaximal, characteristic, complemented
4#19147515C211yesmaximal, characteristic, complemented
5#19147434C211yesmaximal, characteristic, complemented
6#19147390C211yesmaximal, characteristic, complemented
7#19147224C211yesmaximal, characteristic, complemented
8#19147063C211yesmaximal, characteristic, complemented
9#19147054C211yesmaximal, characteristic, complemented
10#19146926C211yesmaximal, characteristic, complemented
11#19146814C211yesmaximal, characteristic, complemented
12#19146758C211yesmaximal, characteristic, complemented
13#19146703C211yesmaximal, characteristic, complemented
14#19146579C211yesmaximal, characteristic, complemented
15#19146574C211yesmaximal, characteristic, complemented
16#19146221C211yesmaximal, characteristic, complemented
17#19146143C211yesmaximal, characteristic, complemented
18#19146128C211yesmaximal, characteristic, complemented
19#19145284C211yesmaximal, characteristic, complemented
20#19145228C211yesmaximal, characteristic, complemented
21#19145197C211yesmaximal, characteristic, complemented
22#19144859C211yesmaximal, characteristic, complemented
23#19144820C211yesmaximal, characteristic, complemented
24#19144800C211yesmaximal, characteristic, complemented
25#19144755C211yesmaximal, characteristic, complemented
26#19144731C211yesmaximal, characteristic, complemented
27#19143578C211yesmaximal, characteristic, complemented
28#19143476C211yesmaximal, characteristic, complemented
29#19143437C211yesmaximal, characteristic, complemented
30C4×#13063352C211yesmaximal, characteristic, complemented
31C43×#3125C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C2×#13063345C2211yescharacteristic
35#14583632—21no—
36#14583632C2211yescharacteristic, complemented
37#14583628C2211yescharacteristic, complemented
38#14583618C2211yescharacteristic
39#14583614—21no—
40#14583614C2211yescharacteristic
41#14583610C2211yescharacteristic
42#14583607C2211yescharacteristic
43#14583597—21no—
44#14583597C2211yescharacteristic, complemented
45#14583585—21no—
46#14583584—21no—
47#14583584C2211yescharacteristic
48#14583579—21no—
49#14583574—21no—
50#14583568C2211yescharacteristic
51#14583564C2211yescharacteristic
52#14583561C2211yescharacteristic
53#14583557—21no—
54#14583556C2211yescharacteristic, complemented
55#14583551C2211yescharacteristic
56#14583549C2211yescharacteristic
57#14583546C2211yescharacteristic
58#14583542C2211yescharacteristic
59#14583520—21no—
60#14583520C2211yescharacteristic, complemented
61#14583514C2211yescharacteristic
62#14583500—21no—
63#14583500C2211yescharacteristic, complemented
64#14583495—21no—
65#14583492—21no—
66#14583453C2211yescharacteristic
67#14583431—21no—
68#14583431C2211yescharacteristic
69#14583427—21no—
70#14583427C2211yescharacteristic
71#14583407—21no—
72C22⋊Q8×D43—21no—
73#14583381C2211yescharacteristic
74#14583379C2211yescharacteristic
75#14583375C2211yescharacteristic, complemented
76C4×#10621902C2211yescharacteristic
77C4×D4×D43C2211yescharacteristic
78#14583306C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583302C2211yescharacteristic, complemented
81#14583290C2211yescharacteristic, complemented
82#14583287C2211yescharacteristic
83#14583281C2211yescharacteristic
84#14583266C2211yescharacteristic, complemented
85#14583261C2211yescharacteristic, complemented
86#14583258C2211yescharacteristic
87#14583257C2211yescharacteristic, complemented
88#14583252C2211yescharacteristic
89#14583244C2211yescharacteristic, complemented
90#14583243C2211yescharacteristic
91#14583243C2211yescharacteristic, complemented
92#14583239C2211yescharacteristic
93#14583235C2211yescharacteristic, complemented
94#14583231C2211yescharacteristic
95#14583221C2211yescharacteristic
96#14583219C2211yescharacteristic, complemented
97#14583213C2211yescharacteristic, complemented
98#14583211C2211yescharacteristic
99#14583211C2211yescharacteristic, complemented
100#14583208C2211yescharacteristic, complemented
101#14583198C2211yescharacteristic
102#14583198C2211yescharacteristic
103#14583197C2211yescharacteristic
104#14583195C2211yescharacteristic, complemented
105#14583192C2211yescharacteristic, complemented
106#14583192C2211yescharacteristic, complemented
107#14583188C2211yescharacteristic, complemented
108#14583183C2211yescharacteristic, complemented
109#14583180C2211yescharacteristic
110#14583158C2211yescharacteristic
111#14583156C2211yescharacteristic
112#14583151C2211yescharacteristic
113#14583147C2211yescharacteristic, complemented
114#14583144C2211yescharacteristic
115#14583144C2211yescharacteristic, complemented
116#14583143C2211yescharacteristic
117#14583142C2211yescharacteristic
118#14583138C2211yescharacteristic, complemented
119#14583133C2211yescharacteristic
120#14583132C2211yescharacteristic
121#14583129C2211yescharacteristic, complemented
122#14583122C2211yescharacteristic, complemented
123#14583120C2211yescharacteristic
124#14583119C2211yescharacteristic
125#14583115C2211yescharacteristic
126#14583113C2211yescharacteristic
127#14583112C2211yescharacteristic
128#14583107C2211yescharacteristic, complemented
129#14583103C2211yescharacteristic, complemented
130#14583097C2211yescharacteristic, complemented
131#14583093C2211yescharacteristic
132#14583064C2211yescharacteristic
133#14583063C2211yescharacteristic
134#14583060C2211yescharacteristic
135#14583056C2211yescharacteristic, complemented
136#14583051C2211yescharacteristic
137#14583047C2211yescharacteristic
138#14583046C2211yescharacteristic
139#14583043C2211yescharacteristic
140#14583036C2211yescharacteristic
141#14583031C2211yescharacteristic
142#14583028C2211yescharacteristic, complemented
143#14583026C2211yescharacteristic, complemented
144#14583010C2211yescharacteristic
145#14583009C2211yescharacteristic
146#14583009C2211yescharacteristic
147#14583008C2211yescharacteristic
148#14583004C2211yescharacteristic, complemented
149#14583004C2211yescharacteristic, complemented
150#14583003C2211yescharacteristic, complemented
151#14583002C2211yescharacteristic
152#14583002C2211yescharacteristic
153#14583001C2211yescharacteristic
154#14583001C2211yescharacteristic, complemented
155#14583000C2211yescharacteristic
156#14582999C2211yescharacteristic
157#14582997C2211yescharacteristic, complemented
158C4×Dic172C2211yescharacteristic, complemented
159Q16×Dic43C2211yescharacteristic, complemented
160C4×#10621885C2211yescharacteristic, complemented
161C4×#10621884C2211yescharacteristic
162C4×#10621884C2211yescharacteristic
163#14582986C2211yescharacteristic
164C4×#10621883C2211yescharacteristic, complemented
165C4×#10621883C2211yescharacteristic, complemented
166C4×D344C2211yescharacteristic
167C4×#10621882C2211yescharacteristic
168#14582976C2211yescharacteristic
169#14582974C2211yescharacteristic
170#14582973C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic
172#14582967C2211yescharacteristic
173#14582967C2211yescharacteristic, complemented
174#14582958C2211yescharacteristic, complemented
175#14582954C2211yescharacteristic
176#14582938C2211yescharacteristic
177#14582938C2211yescharacteristic, complemented
178C2×#13063256C2211yescharacteristic, complemented
179#14582902C2211yescharacteristic
180#14582900C2211yescharacteristic, complemented
181#14582899C2211yescharacteristic
182#14582898C2211yescharacteristic
183#14582894C2211yescharacteristic
184#103×D43C2211yescharacteristic, complemented
185#14582856C2211yescharacteristic, complemented
186#14582855C2211yescharacteristic, complemented
187C4×#10621872C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#520C2211yescharacteristic, complemented
190C43×#483C2211yescharacteristic, complemented
191C43×#481C2211yescharacteristic
192C43×#476C2211yescharacteristic, complemented
193C43×#475C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic
195C43×#463C2211yescharacteristic
196C43×#452C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic
198C43×#442C2211yescharacteristic
199C43×#441C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic
201C4×SD16×C43C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×Q8×D43—21no—
208C2×Q8×D43C2311yescharacteristic
209C2×D4×D43C2311yescharacteristic
210C22×C4×D43—21no—
211#13063357—24no—
212#13063352—24no—
213#13063345—24no—
214C2×Dic172C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×#10621872C2311yescharacteristic
230C22×C43⋊C8C2311yescharacteristic
231C2×C8×D43C2311yescharacteristic
232#13063325—21no—
233#13063325C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063323C2311yescharacteristic
237#13063321—21no—
238#13063321C2311yescharacteristic
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320D411yescharacteristic
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318D411yescharacteristic
248#13063316—21no—
249#13063316—21no—
250#13063316—21no—
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315D411yescharacteristic
257#13063313—21no—
258#13063313C2311yescharacteristic
259#13063312—21no—
260#13063312C2311yescharacteristic
261#13063312C2311yescharacteristic
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063311—21no—
267#13063311D411yescharacteristic
268#13063310—21no—
269#13063310—21no—
270#13063310D411yescharacteristic
271#13063308—21no—
272#13063308—21no—
273#13063308—21no—
274#13063308—21no—
275#13063307—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307D411yescharacteristic
284#13063306—21no—
285#13063305—21no—
286#13063305—21no—
287#13063305C2311yescharacteristic
288#13063305C2311yescharacteristic
289#13063305C2311yescharacteristic
290#13063304—21no—
291#13063304—21no—
292#13063304C2311yescharacteristic
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063303D411yescharacteristic
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063301—21no—
302#13063301—21no—
303#13063301—21no—
304#13063301C2311yescharacteristic
305#13063300—21no—
306#13063300C2311yescharacteristic
307#13063299—21no—
308#13063299—21no—
309#13063299—21no—
310#13063299—21no—
311#13063299C2311yescharacteristic
312#13063298—21no—
313#13063298—21no—
314#13063298—21no—
315#13063298D411yescharacteristic
316#13063296—21no—
317#13063296—21no—
318#13063296—21no—
319#13063296C2311yescharacteristic
320#13063296C2311yescharacteristic
321#13063296C2311yescharacteristic
322#13063295—21no—
323#13063293—21no—
324Q8×Dic43C2311yescharacteristic
325Q8×Dic43C2311yescharacteristic
326Q8×Dic43C2311yescharacteristic
327C4×Dic86—21no—
328C4×Dic86—21no—
329C4×Dic86—21no—
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333C4×Dic86C2311yescharacteristic
334#13063290—21no—
335#13063290C2311yescharacteristic
336C4×D172—21no—
337C4×D172—21no—
338C4×D172—21no—
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341C4×D172C2311yescharacteristic
342C4×D172C2311yescharacteristic
343D4×Dic43C2311yescharacteristic
344#13063287—21no—
345#13063287—21no—
346#13063287—21no—
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43C2311yescharacteristic
357C4×C22⋊D43C2311yescharacteristic
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362#13063284—21no—
363#13063284—21no—
364#13063284—21no—
365#13063283—21no—
366#13063283—21no—
367#13063283—21no—
368#13063283C2311yescharacteristic
369#13063283C2311yescharacteristic
370#13063282—21no—
371#13063282—21no—
372#13063282—21no—
373#13063282C2311yescharacteristic
374#13063281—21no—
375C2×C4⋊Dic43C2311yescharacteristic
376C4⋊C4×D43—21no—
377C4⋊C4×D43—21no—
378C4⋊C4×D43—21no—
379C4⋊C4×D43C2311yescharacteristic
380C4⋊C4×D43C2311yescharacteristic
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C42×D43—21no—
385C42×D43C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063259C2311yescharacteristic
389#13063259C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
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#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
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
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C4⋊Q8×C43C2311yescharacteristic
444#126×C43—21no—
445#124×C43—21no—
446#124×C43C2311yescharacteristic
447#123×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×D4×C43—21no—
455C4×D4×C43—21no—
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#117×C43—21no—
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43—21no—
462C2×C4⋊C4×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482#41×C43—22no—
483#41×C43—41no—
484C2×Q8×C43—21no—
485C2×Q8×C43C2411yescharacteristic
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43C2411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43C2411yescharacteristic
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43C2×D411yescharacteristic
506C2×C22⋊D43C2×D411yescharacteristic
507C22×Dic43—21no—
508C22×Dic43—21no—
509#10621902—22no—
510#10621902—22no—
511#10621902—41no—
512#10621902—41no—
513Q8×D43—22no—
514Q8×D43—41no—
515Q8×D43—82no—
516#10621900—82no—
517D4×D43—22no—
518D4×D43—41no—
519#10621898—22no—
520#10621898—41no—
521C2×D172—21no—
522C2×D172—21no—
523C2×D172—21no—
524C2×D172C2×D411yescharacteristic
525C2×D172C2411yescharacteristic
526C2×D172C2411yescharacteristic
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
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×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—82no—
540C2×C4×D43C2×D411yescharacteristic
541C2×C4×D43C2×D411yescharacteristic
542C2×C4×D43C2411yescharacteristic
543C2×C4×D43C2411yescharacteristic
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×Dic86—21no—
548C2×Dic86C2×D411yescharacteristic
549C2×Dic86C2411yescharacteristic
550C2×Dic86C2411yescharacteristic
551Q16×C43—22no—
552SD16×C43—22no—
553SD16×C43—41no—
554D8×C43—41no—
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43C2×D411yescharacteristic
566C4⋊C4×C43C2×D411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43C2×D411yescharacteristic
579C22⋊C4×C43C2×D411yescharacteristic
580C42×C43—21no—
581C42×C43—21no—
582C42×C43—21no—
583C42×C43C2411yescharacteristic
584C42×C43C2411yescharacteristic
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43C2×D411yescharacteristic
595C22⋊Dic43C2×D411yescharacteristic
596#10621885—22no—
597#10621885—22no—
598#10621884—41no—
599#10621884#4114yescomplemented
600#10621883—22no—
601#10621883—41no—
602#10621882—22no—
603#10621882—22no—
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)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43—21no—
636C4⋊Dic43C2×D411yescharacteristic
637C4⋊Dic43C2×D411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2×D411yescharacteristic
673C4×Dic43C2411yescharacteristic
674C4×Dic43C2411yescharacteristic
675#10621877—41no—
676C2×C43⋊C8—22no—
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681Dic172—41no—
682D344—22no—
683#10621873—22no—
684#10621873—41no—
685#10621872—22no—
686#10621872—22no—
687#10621872—41no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43C22×D411yescharacteristic
692C22×D43—21no—
693C22×D43—21no—
694C22×D43—42no—
695C22×D43—42no—
696C22×D43—81no—
697C22×D43C22×D411yescharacteristic
698C22×D43C22×D411yescharacteristic
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—81no—
703Q8×C43C2×#4112yes—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—42no—
709D4×C43—81no—
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—42no—
719C2×C4×C43—81no—
720C2×C4×C43—81no—
721C2×C4×C43—81no—
722C2×C4×C43—81no—
723C2×C4×C43C22×D411yescharacteristic
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—81no—
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—42no—
746C2×Dic43—81no—
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753D172—21no—
754D172—21no—
755D172—21no—
756D172—41no—
757D172—42no—
758D172—42no—
759D172—81no—
760D172C2×#4112yes—
761C4×D43—21no—
762C4×D43—21no—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—41no—
766C4×D43—41no—
767C4×D43—42no—
768C4×D43—42no—
769C4×D43—42no—
770C4×D43—42no—
771C4×D43—42no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779Dic86—21no—
780Dic86—21no—
781Dic86—21no—
782Dic86—21no—
783Dic86—41no—
784Dic86—42no—
785Dic86—42no—
786Dic86—81no—
787Dic86—81no—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43—21no—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8C2×#4112yes—
796#61508—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43C23×D411yescharacteristic
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—21no—
810C2×D43—21no—
811C2×D43—22no—
812C2×D43—21no—
813C2×D43—21no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—84no—
820C4×C43—21no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—22no—
825C4×C43—21no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43C22×#4111yescharacteristic
832C4×C43#58511yescharacteristic
833Dic43—21no—
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845#3524—431no—
846#3520—431no—
847#3401—431no—
848#3386—431no—
849#3377—431no—
850#3373—431no—
851#3357—431no—
852#3345—431no—
853#3344—431no—
854#3333—431no—
855#3323—431no—
856#3319—431no—
857#3316—431no—
858#3308—431no—
859#3307—431no—
860#3275—431no—
861#3269—431no—
862#3268—431no—
863#3179—431no—
864#3175—431no—
865#3172—431no—
866#3125D4311yescharacteristic, complemented
867#3124—431no—
868#3121—431no—
869#3119—431no—
870#3116—431no—
871#3114—431no—
872#2967—431no—
873#2952—431no—
874#2947—431no—
875C4×AGL(1,ℤ/8)—431no—
876C2×C43—41no—
877C2×C43—81no—
878C2×C43—81no—
879C2×C43D4×#4111yescharacteristic
880C2×C43#358511yescharacteristic
881C2×C43#358611yescharacteristic
882D43—41no—
883D43—41no—
884D43—42no—
885D43—81no—
886C2×#137—431no—
887C2×AGL(1,ℤ/8)—431no—
888C2×#135—431no—
889#559—431no—
890#559—861no—
891#557—431no—
892#556—431no—
893#555—431no—
894#555—861no—
895#554—431no—
896#554—431no—
897#553—431no—
898#553—861no—
899#552—431no—
900#552—861no—
901#552—861no—
902#551—861no—
903#551—861no—
904#550—431no—
905D4×Q8—431no—
906#548—431no—
907#548—431no—
908#548—861no—
909#547—431no—
910#547—431no—
911#546—431no—
912#546—431no—
913#542—431no—
914#542—431no—
915#542—861no—
916#542C2×D4311yescharacteristic
917#540—431no—
918#540—861no—
919#539—861no—
920#539—861no—
921#533—431no—
922#529—431no—
923#529—431no—
924#529—861no—
925#529—861no—
926#525—861no—
927C2×C22⋊Q8—861no—
928#520—431no—
929#520—431no—
930#520C2×D4311yescharacteristic, complemented
931#519—431no—
932C4×#41—431no—
933C2×C4×D4—431no—
934#501—431no—
935#501—431no—
936#500—431no—
937#497—431no—
938#496—431no—
939#495—431no—
940#491—431no—
941#489—431no—
942#489—431no—
943#489—431no—
944#488—431no—
945#486—431no—
946#485—431no—
947#485—431no—
948#485—431no—
949#484—431no—
950#483—431no—
951#483C2×D4311yescharacteristic, complemented
952#482—431no—
953#481—431no—
954#481C2×D4311yescharacteristic
955#480—431no—
956#480—431no—
957#480—431no—
958#479—431no—
959#478—431no—
960#478—431no—
961#478—431no—
962#477—431no—
963#477—431no—
964#477—431no—
965#476—431no—
966#476C2×D4311yescharacteristic, complemented
967#475—431no—
968#475C2×D4311yescharacteristic, complemented
969#474—431no—
970#470—431no—
971#470—431no—
972#469—431no—
973#468—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#467—431no—
979#466—431no—
980#466—431no—
981#465—431no—
982#464—431no—
983#464—431no—
984#464—431no—
985#464C2×D4311yescharacteristic
986#463—431no—
987#463—431no—
988#463—431no—
989#463C2×D4311yescharacteristic
990#462—431no—
991#461—431no—
992#460—431no—
993#459—431no—
994#452—431no—
995#452—431no—
996#452—431no—
997#452C2×D4311yescharacteristic, complemented
998#451—431no—
999#450—431no—
1000#449—431no—
1001#449—431no—
1002#449—431no—
1003#449C2×D4311yescharacteristic
1004#448—431no—
1005#447—431no—
1006#446—431no—
1007#446—431no—
1008#442—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442C2×D4311yescharacteristic
1013#441—431no—
1014#441—431no—
1015#441—431no—
1016#441C2×D4311yescharacteristic, complemented
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024C4×Q16—431no—
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×SD16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16C2×D4311yescharacteristic
1033C4×SD16C2×D4311yescharacteristic, complemented
1034C4×D8—431no—
1035C4×D8—431no—
1036#436—431no—
1037#436—431no—
1038#435—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#433—431no—
1043#433C2×D4311yescharacteristic, complemented
1044#432—431no—
1045#428—431no—
1046#428—431no—
1047C2×#106—431no—
1048#418—431no—
1049#417—431no—
1050#417—431no—
1051#417—431no—
1052#416—431no—
1053C2×#103—431no—
1054#405—431no—
1055#405—431no—
1056C4×M16—431no—
1057C43#6150811yescharacteristic, complemented, Sylow
1058C2×#41—431no—
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—861no—
1062C2×#41C22×D4311yescharacteristic
1063C22×Q8—431no—
1064C22×Q8—861no—
1065C22×D4—431no—
1066C23×C4—861no—
1067#137—864no—
1068AGL(1,ℤ/8)—864no—
1069#135—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×Q16C22×D4311yescharacteristic
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16C22×D4311yescharacteristic
1081C2×SD16C22×D4311yescharacteristic
1082C2×D8—431no—
1083C2×D8—431no—
1084C2×D8—431no—
1085C2×D8C22×D4311yescharacteristic
1086C2×M16—431no—
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C22×C8—431no—
1091C22×C8—431no—
1092C4⋊Q8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—861no—
1097C4⋊Q8C22×D4311yescharacteristic
1098#127—431no—
1099#127—861no—
1100#126—21no—
1101#126—431no—
1102#126—431no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#125—431no—
1111#125—431no—
1112#125—431no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#124—21no—
1120#124—431no—
1121#124—431no—
1122#124—431no—
1123#124—431no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124C22×D4311yescharacteristic
1132#123—21no—
1133#123—431no—
1134#123—431no—
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—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150C22⋊Q8—21no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8C22×D4311yescharacteristic
1172#121—431no—
1173#121—431no—
1174#121—431no—
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
1188#121—861no—
1189#121C22×D4311yescharacteristic
1190#120—861no—
1191#120—861no—
1192C4×Q8—431no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—861no—
1201C4×Q8—861no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8C22×D4311yescharacteristic
1205C4×Q8C22×D4311yescharacteristic
1206C4×Q8C22×D4311yescharacteristic
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4—861no—
1235C4×D4C22×D4311yescharacteristic
1236C4×D4C22×D4311yescharacteristic
1237C4×D4C22×D4311yescharacteristic
1238#117—21no—
1239#117—431no—
1240#117—431no—
1241#117—431no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117—861no—
1252#117C22×D4311yescharacteristic
1253C2×C4⋊C4—21no—
1254C2×C4⋊C4—431no—
1255C2×C4⋊C4—431no—
1256C2×C4⋊C4—431no—
1257C2×C4⋊C4—861no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4—861no—
1260C2×C4⋊C4C22×D4311yescharacteristic
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C42—431no—
1265C2×C42—861no—
1266#107—431no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#106—431no—
1275#106—431no—
1276#106—431no—
1277#106—431no—
1278#106C22×D4311yescharacteristic
1279#106C22×D4311yescharacteristic
1280#106C22×D4311yescharacteristic
1281#106C22×D4311yescharacteristic
1282C4⋊C8—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8C22×D4311yescharacteristic
1287C4⋊C8C22×D4311yescharacteristic
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103C22×D4311yescharacteristic
1301#103C22×D4311yescharacteristic
1302#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102C22×D4311yescharacteristic
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320C22⋊C8—431no—
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8C22×D4311yescharacteristic
1325C22⋊C8C22×D4311yescharacteristic
1326#97—431no—
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97C22×D4311yescharacteristic
1332C4×C8—431no—
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8C22×D4311yescharacteristic
1336C24—861no—
1337#41—22no—
1338#41—41no—
1339#41—862no—
1340#41—862no—
1341#41—862no—
1342#41—3442no—
1343#41—1721no—
1344#41—1721no—
1345#41—1721no—
1346C2×Q8—21no—
1347C2×Q8—431no—
1348C2×Q8—431no—
1349C2×Q8—431no—
1350C2×Q8—861no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8—861no—
1354C2×Q8—862no—
1355C2×Q8—3442no—
1356C2×Q8—1721no—
1357C2×Q8C23×D4311yescharacteristic
1358C2×Q8C23×D4311yescharacteristic
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—431no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—862no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—1721no—
1379C2×D4C23×D4311yescharacteristic
1380C2×D4C23×D4311yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—431no—
1387C22×C4—431no—
1388C22×C4—431no—
1389C22×C4—431no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—3442no—
1405C22×C4C23×D4311yescharacteristic
1406Q16—22no—
1407Q16—862no—
1408Q16—862no—
1409Q16—1721no—
1410SD16—22no—
1411SD16—41no—
1412SD16—434no—
1413SD16—862no—
1414SD16—862no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—41no—
1419D8—862no—
1420D8—862no—
1421D8—862no—
1422M16—862no—
1423M16—862no—
1424M16—1721no—
1425M16—1721no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—431no—
1430C2×C8—862no—
1431C2×C8—1721no—
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C2×C8C23×D4311yescharacteristic
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
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⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4D4×D4311yescharacteristic
1479C4⋊C4D4×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C4⋊C4C23×D4311yescharacteristic
1482C4⋊C4C23×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
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⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4D4×D4311yescharacteristic
1525C22⋊C4D4×D4311yescharacteristic
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—431no—
1530C42—431no—
1531C42—431no—
1532C42—431no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42C23×D4311yescharacteristic
1543C42C23×D4311yescharacteristic
1544C23—21no—
1545C23—21no—
1546C23—431no—
1547C23—431no—
1548C23—861no—
1549C23—861no—
1550C23—3441no—
1551C23—1722no—
1552C23—1722no—
1553C23C2×D4×D4311yescharacteristic
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—81no—
1558Q8—861no—
1559Q8—861no—
1560Q8—861no—
1561Q8—861no—
1562Q8—3441no—
1563Q8—3441no—
1564Q8—1721no—
1565Q8—1722no—
1566Q8—1722no—
1567Q8#41×D4312yes—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—42no—
1573D4—81no—
1574D4—432no—
1575D4—861no—
1576D4—861no—
1577D4—861no—
1578D4—3441no—
1579D4—3441no—
1580D4—3441no—
1581D4—3441no—
1582D4—3441no—
1583D4—3441no—
1584D4—3441no—
1585D4—1721no—
1586D4—1722no—
1587D4—1722no—
1588D4—1721no—
1589D4—1721no—
1590D4—1722no—
1591D4—1722no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—42no—
1601C2×C4—81no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—81no—
1605C2×C4—431no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—861no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—3441no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—1721no—
1630C2×C4—1721no—
1631C2×C4—1722no—
1632C2×C4—1722no—
1633C2×C4—1722no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4C2×D4×D4311yescharacteristic
1638C2×C4C2×D4×D4311yescharacteristic
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C24×D4311yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—432no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—861no—
1661C22—861no—
1662C22—862no—
1663C22—861no—
1664C22—861no—
1665C22—861no—
1666C22—861no—
1667C22—3444no—
1668C22—1721no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22C22×D4×D4311yescharacteristic
1674C4—21no—
1675C4—22no—
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—861no—
1686C4—861no—
1687C4—861no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—1721no—
1692C4—1721no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4C2×#41×D4311yescharacteristic
1698C4#1458373511yescharacteristic
1699C2—41no—
1700C2—81no—
1701C2—81no—
1702C2—3441no—
1703C2—1721no—
1704C2—1721no—
1705C2—1722no—
1706C2#1914807811yescharacteristic
1707C2#1914937311yescharacteristic
1708C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3125C2
socleC22×C43C23×D4
hypercenter#3125D43
hypocenterC43#61508
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3125

Complements

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

NH ≅ G/Ntype
1. #19148696C2semidirect
2. #19148642C2semidirect
3. #19147659C2semidirect
4. #19147515C2semidirect
5. #19147434C2semidirect
6. #19147390C2semidirect
7. #19147224C2semidirect
8. #19147063C2semidirect
9. #19147054C2semidirect
10. #19146926C2semidirect
11. #19146814C2semidirect
12. #19146758C2semidirect
13. #19146703C2semidirect
14. #19146579C2semidirect
15. #19146574C2semidirect
16. #19146221C2semidirect
17. #19146143C2semidirect
18. #19146128C2semidirect
19. #19145284C2semidirect
20. #19145228C2semidirect
21. #19145197C2semidirect
22. #19144859C2semidirect
23. #19144820C2semidirect
24. #19144800C2semidirect
25. #19144755C2semidirect
26. #19144731C2semidirect
27. #19143578C2semidirect
28. #19143476C2semidirect
29. #19143437C2semidirect
30. C4×#13063352C2semidirect
31. C43×#3125C2semidirect
36. #14583632C22semidirect
37. #14583628C22semidirect
44. #14583597C22semidirect
54. #14583556C22semidirect
60. #14583520C22semidirect
63. #14583500C22semidirect
75. #14583375C22semidirect
78. #14583306C22semidirect
79. #14583306C22semidirect
80. #14583302C22semidirect
81. #14583290C22semidirect
84. #14583266C22semidirect
85. #14583261C22semidirect
87. #14583257C22semidirect
89. #14583244C22semidirect
91. #14583243C22semidirect
93. #14583235C22semidirect
96. #14583219C22semidirect
97. #14583213C22semidirect
99. #14583211C22semidirect
100. #14583208C22semidirect
104. #14583195C22semidirect
105. #14583192C22semidirect
106. #14583192C22semidirect
107. #14583188C22semidirect
108. #14583183C22semidirect
113. #14583147C22semidirect
115. #14583144C22semidirect
118. #14583138C22semidirect
121. #14583129C22semidirect
122. #14583122C22semidirect
128. #14583107C22semidirect
129. #14583103C22semidirect
130. #14583097C22semidirect
135. #14583056C22semidirect
142. #14583028C22semidirect
143. #14583026C22semidirect
148. #14583004C22semidirect
149. #14583004C22semidirect
150. #14583003C22semidirect
154. #14583001C22semidirect
157. #14582997C22semidirect
158. C4×Dic172C22semidirect
159. Q16×Dic43C22semidirect
160. C4×#10621885C22semidirect
164. C4×#10621883C22semidirect
165. C4×#10621883C22semidirect
170. #14582973C22semidirect
173. #14582967C22semidirect
174. #14582958C22semidirect
177. #14582938C22semidirect
178. C2×#13063256C22semidirect
180. #14582900C22semidirect
184. #103×D43C22semidirect
185. #14582856C22semidirect
186. #14582855C22semidirect
189. C43×#520C22semidirect
190. C43×#483C22semidirect
192. C43×#476C22semidirect
193. C43×#475C22semidirect
196. C43×#452C22semidirect
199. C43×#441C22semidirect
201. C4×SD16×C43C22semidirect
202. C43×#433C22semidirect
599. #10621884#41semidirect
866. #3125D43semidirect
930. #520C2×D43semidirect
951. #483C2×D43semidirect
966. #476C2×D43semidirect
968. #475C2×D43semidirect
997. #452C2×D43semidirect
1016. #441C2×D43semidirect
1033. C4×SD16C2×D43semidirect
1043. #433C2×D43semidirect
1057. C43#61508semidirect

Maximal subgroups

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

subgroupindex
#191486962
#191486422
#191476592
#191475152
#191474342
#191473902
#191472242
#191470632
#191470542
#191469262
#191468142
#191467582
#191467032
#191465792
#191465742
#191462212
#191461432
#191461282
#191452842
#191452282
#191451972
#191448592
#191448202
#191448002
#191447552
#191447312
#191435782
#191434762
#191434372
C4×#130633522
C43×#31252
#6150843