Finite Group Databasebeta

← #25979853

Subgroups — #25979853

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#19148706C211yesmaximal, characteristic, complemented
2#19148642C211yesmaximal, characteristic, complemented
3#19147664C211yesmaximal, characteristic, complemented
4#19147519C211yesmaximal, characteristic, complemented
5#19147441C211yesmaximal, characteristic, complemented
6#19147386C211yesmaximal, characteristic, complemented
7#19147219C211yesmaximal, characteristic, complemented
8#19147068C211yesmaximal, characteristic, complemented
9#19147047C211yesmaximal, characteristic, complemented
10#19146930C211yesmaximal, characteristic, complemented
11#19146818C211yesmaximal, characteristic, complemented
12#19146749C211yesmaximal, characteristic, complemented
13#19146710C211yesmaximal, characteristic, complemented
14#19146590C211yesmaximal, characteristic, complemented
15#19146569C211yesmaximal, characteristic, complemented
16#19146229C211yesmaximal, characteristic, complemented
17#19146153C211yesmaximal, characteristic, complemented
18#19146130C211yesmaximal, characteristic, complemented
19#19145272C211yesmaximal, characteristic, complemented
20#19145232C211yesmaximal, characteristic, complemented
21#19145199C211yesmaximal, characteristic, complemented
22#19144878C211yesmaximal, characteristic, complemented
23#19144863C211yesmaximal, characteristic, complemented
24#19144796C211yesmaximal, characteristic, complemented
25#19144755C211yesmaximal, characteristic, complemented
26#19144737C211yesmaximal, characteristic, complemented
27#19143578C211yesmaximal, characteristic, complemented
28#19143475C211yesmaximal, characteristic, complemented
29#19143438C211yesmaximal, characteristic, complemented
30C4×#13063352C211yesmaximal, characteristic, complemented
31C43×#3121C211yesmaximal, characteristic, complemented
32C2×#13063356C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C2×#13063348C2211yescharacteristic
35#14583634—21no—
36#14583634C2211yescharacteristic, complemented
37#14583625C2211yescharacteristic, complemented
38#14583618C2211yescharacteristic
39#14583612—21no—
40#14583612C2211yescharacteristic
41#14583610C2211yescharacteristic
42#14583607C2211yescharacteristic
43#14583593—21no—
44#14583593C2211yescharacteristic, complemented
45#14583590—21no—
46#14583590C2211yescharacteristic
47#14583585—21no—
48#14583579—21no—
49#14583574—21no—
50#14583571C2211yescharacteristic
51#14583564C2211yescharacteristic
52#14583560C2211yescharacteristic
53#14583560C2211yescharacteristic, complemented
54#14583557—21no—
55#14583551C2211yescharacteristic
56#14583549C2211yescharacteristic
57#14583546C2211yescharacteristic
58#14583542C2211yescharacteristic
59#14583521—21no—
60#14583521C2211yescharacteristic, complemented
61#14583514C2211yescharacteristic
62#14583504—21no—
63#14583504C2211yescharacteristic, complemented
64#14583495—21no—
65#14583492—21no—
66#14583453C2211yescharacteristic
67#14583436—21no—
68#14583436C2211yescharacteristic
69#14583427—21no—
70#14583427C2211yescharacteristic
71#14583407—21no—
72C22⋊Q8×D43—21no—
73#14583381C2211yescharacteristic
74#14583381C2211yescharacteristic, complemented
75#14583379C2211yescharacteristic
76C4×#10621902C2211yescharacteristic
77C4×D4×D43C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583303C2211yescharacteristic, complemented
81#14583292C2211yescharacteristic, complemented
82#14583289C2211yescharacteristic
83#14583280C2211yescharacteristic
84#14583266C2211yescharacteristic, complemented
85#14583260C2211yescharacteristic, complemented
86#14583260C2211yescharacteristic, complemented
87#14583257C2211yescharacteristic
88#14583253C2211yescharacteristic
89#14583247C2211yescharacteristic, complemented
90#14583243C2211yescharacteristic
91#14583239C2211yescharacteristic
92#14583233C2211yescharacteristic, complemented
93#14583231C2211yescharacteristic, complemented
94#14583228C2211yescharacteristic
95#14583218C2211yescharacteristic, complemented
96#14583216C2211yescharacteristic
97#14583214C2211yescharacteristic
98#14583214C2211yescharacteristic, complemented
99#14583213C2211yescharacteristic, complemented
100#14583207C2211yescharacteristic, complemented
101#14583202C2211yescharacteristic
102#14583201C2211yescharacteristic
103#14583200C2211yescharacteristic
104#14583192C2211yescharacteristic, complemented
105#14583192C2211yescharacteristic, complemented
106#14583188C2211yescharacteristic, complemented
107#14583188C2211yescharacteristic, complemented
108#14583182C2211yescharacteristic, complemented
109#14583178C2211yescharacteristic
110#14583156C2211yescharacteristic
111#14583154C2211yescharacteristic
112#14583150C2211yescharacteristic
113#14583148C2211yescharacteristic
114#14583147C2211yescharacteristic, complemented
115#14583146C2211yescharacteristic
116#14583146C2211yescharacteristic, complemented
117#14583142C2211yescharacteristic
118#14583139C2211yescharacteristic, complemented
119#14583134C2211yescharacteristic
120#14583133C2211yescharacteristic
121#14583130C2211yescharacteristic, complemented
122#14583123C2211yescharacteristic, complemented
123#14583119C2211yescharacteristic
124#14583117C2211yescharacteristic
125#14583117C2211yescharacteristic
126#14583116C2211yescharacteristic
127#14583113C2211yescharacteristic
128#14583107C2211yescharacteristic, complemented
129#14583103C2211yescharacteristic, complemented
130#14583100C2211yescharacteristic, complemented
131#14583095C2211yescharacteristic
132#14583064C2211yescharacteristic
133#14583064C2211yescharacteristic, complemented
134#14583060C2211yescharacteristic
135#14583060C2211yescharacteristic
136#14583048C2211yescharacteristic
137#14583047C2211yescharacteristic
138#14583046C2211yescharacteristic
139#14583046C2211yescharacteristic
140#14583043C2211yescharacteristic
141#14583034C2211yescharacteristic
142#14583028C2211yescharacteristic, complemented
143#14583026C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic
145#14583010C2211yescharacteristic
146#14583010C2211yescharacteristic
147#14583009C2211yescharacteristic
148#14583008C2211yescharacteristic
149#14583006C2211yescharacteristic, complemented
150#14583004C2211yescharacteristic, complemented
151#14583004C2211yescharacteristic, complemented
152#14583002C2211yescharacteristic
153#14583001C2211yescharacteristic, complemented
154#14583000C2211yescharacteristic
155#14582997C2211yescharacteristic
156#14582997C2211yescharacteristic
157#14582997C2211yescharacteristic, complemented
158C4×#10621885C2211yescharacteristic, complemented
159C4×#10621885C2211yescharacteristic, complemented
160C4×#10621873C2211yescharacteristic, complemented
161C4×#10621884C2211yescharacteristic
162C4×#10621884C2211yescharacteristic
163C4×#10621884C2211yescharacteristic, complemented
164#14582984C2211yescharacteristic
165#14582984C2211yescharacteristic, 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#14582942C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic
178#106×D43C2211yescharacteristic, complemented
179#14582902C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582899C2211yescharacteristic
182#14582899C2211yescharacteristic, complemented
183#14582893C2211yescharacteristic
184C2×#13063249C2211yescharacteristic, complemented
185#14582856C2211yescharacteristic, complemented
186#14582855C2211yescharacteristic, complemented
187C4×#10621872C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#519C2211yescharacteristic, complemented
190C43×#485C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic
192C43×#477C2211yescharacteristic, complemented
193C43×#475C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic
195C43×#464C2211yescharacteristic
196C43×#451C2211yescharacteristic, complemented
197C43×#448C2211yescharacteristic
198C43×#441C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic
200C4×Q16×C43C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic
202C43×#433C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621902C2311yescharacteristic
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C2×Q8×D43—21no—
209C2×D4×D43C2311yescharacteristic
210C22×C4×D43—21no—
211#13063356—24no—
212#13063352—24no—
213#13063348—24no—
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×#10621872C2311yescharacteristic
230C22×C43⋊C8C2311yescharacteristic
231C2×C8×D43C2311yescharacteristic
232#13063324—21no—
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063323C2311yescharacteristic
237#13063322—21no—
238#13063322C2311yescharacteristic
239#13063320—21no—
240#13063320D411yescharacteristic
241#13063319—21no—
242#13063319—21no—
243#13063319—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318D411yescharacteristic
248#13063317—21no—
249#13063317C2311yescharacteristic
250#13063316—21no—
251#13063316—21no—
252#13063316C2311yescharacteristic
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315D411yescharacteristic
257#13063314—21no—
258#13063314—21no—
259#13063314C2311yescharacteristic
260#13063314C2311yescharacteristic
261#13063313—21no—
262#13063313—21no—
263#13063313—21no—
264#13063312C2311yescharacteristic
265#13063311—21no—
266#13063311—21no—
267#13063311D411yescharacteristic
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310D411yescharacteristic
277#13063308—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#13063305C2311yescharacteristic
287#13063305C2311yescharacteristic
288#13063304—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063303D411yescharacteristic
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063301—21no—
298#13063301—21no—
299#13063301—21no—
300#13063301—21no—
301#13063301—21no—
302#13063301C2311yescharacteristic
303#13063301C2311yescharacteristic
304#13063301C2311yescharacteristic
305#13063300—21no—
306#13063300—21no—
307#13063300C2311yescharacteristic
308#13063300C2311yescharacteristic
309#13063299—21no—
310#13063299—21no—
311#13063299C2311yescharacteristic
312#13063299C2311yescharacteristic
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063298—21no—
317#13063298—21no—
318#13063298—21no—
319#13063298D411yescharacteristic
320#13063296—21no—
321#13063296C2311yescharacteristic
322#13063295—21no—
323#13063293—21no—
324Q8×Dic43C2311yescharacteristic
325Q8×Dic43C2311yescharacteristic
326Q8×Dic43C2311yescharacteristic
327C4×Dic86—21no—
328C4×Dic86—21no—
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332C4×D172—21no—
333C4×D172—21no—
334C4×D172—21no—
335C4×D172—21no—
336C4×D172—21no—
337C4×D172—21no—
338C4×D172—21no—
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341C4×D172C2311yescharacteristic
342C4×D172C2311yescharacteristic
343C4×D172C2311yescharacteristic
344D4×Dic43C2311yescharacteristic
345#13063287—21no—
346#13063287—21no—
347#13063287—21no—
348#13063287—21no—
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
352#13063287C2311yescharacteristic
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#13063283—21no—
363#13063283—21no—
364#13063283C2311yescharacteristic
365#13063282—21no—
366#13063282—21no—
367#13063282—21no—
368#13063282—21no—
369#13063282—21no—
370#13063282—21no—
371#13063282C2311yescharacteristic
372#13063281—21no—
373C2×C4⋊Dic43C2311yescharacteristic
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43—21no—
378C4⋊C4×D43C2311yescharacteristic
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#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#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
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
438C22×Q8×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×Q16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×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×C43—21no—
452C4×Q8×C43—21no—
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×Q8×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#117×C43—21no—
460#117×C43—21no—
461#117×C43C2311yescharacteristic
462#117×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#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C2×Q8×C43—21no—
483C2×Q8×C43—21no—
484C2×Q8×C43—22no—
485C2×Q8×C43—41no—
486C2×Q8×C43C2411yescharacteristic
487C2×Q8×C43C2411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43C2411yescharacteristic
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43C2×D411yescharacteristic
500C2×C22⋊D43C2×D411yescharacteristic
501C22×Dic43—21no—
502C22×Dic43—21no—
503#10621902—22no—
504#10621902—22no—
505#10621902—22no—
506#10621902—41no—
507#10621902—41no—
508#10621902—41no—
509Q8×D43—82no—
510#10621900—82no—
511D4×D43—22no—
512D4×D43—41no—
513#10621898—22no—
514#10621898—41no—
515C2×D172—21no—
516C2×D172—21no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172C2×D411yescharacteristic
523C2×D172C2411yescharacteristic
524C2×D172C2411yescharacteristic
525C2×D172C2411yescharacteristic
526C2×C4×D43—21no—
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—21no—
540C2×C4×D43—21no—
541C2×C4×D43—82no—
542C2×C4×D43C2×D411yescharacteristic
543C2×C4×D43C2×D411yescharacteristic
544C2×C4×D43C2411yescharacteristic
545C2×C4×D43C2411yescharacteristic
546C2×Dic86—21no—
547C2×Dic86—21no—
548C2×Dic86—21no—
549C2×Dic86C2×D411yescharacteristic
550C2×Dic86C2411yescharacteristic
551Q16×C43—22no—
552Q16×C43—41no—
553SD16×C43—22no—
554SD16×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×C43—21no—
566C4⋊C4×C43C2×D411yescharacteristic
567C4⋊C4×C43C2×D411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
584C42×C43—21no—
585C42×C43—21no—
586C42×C43C2411yescharacteristic
587C42×C43C2411yescharacteristic
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43C2×D411yescharacteristic
593C22⋊Dic43C2×D411yescharacteristic
594#10621885—22no—
595#10621885—22no—
596#10621884—22no—
597#10621884—22no—
598#10621884—41no—
599#10621884#4114yescomplemented
600#10621882—22no—
601#10621882—41no—
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)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626(C2×D43)⋊C4C2×D411yescharacteristic
627(C2×D43)⋊C4C2×D411yescharacteristic
628(C2×D43)⋊C4C2×D411yescharacteristic
629(C2×D43)⋊C4C2×D411yescharacteristic
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43—21no—
636C4⋊Dic43—21no—
637C4⋊Dic43C2×D411yescharacteristic
638C4⋊Dic43C2×D411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
642C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
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—22no—
676C2×C43⋊C8—41no—
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681D344—22no—
682D344—22no—
683#10621873—41no—
684#10621873—41no—
685#10621872—22no—
686#10621872—41no—
687#10621872—41no—
688C8×D43—22no—
689C23×C43—21no—
690C23×C43C22×D411yescharacteristic
691C22×D43—21no—
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—21no—
703Q8×C43—21no—
704Q8×C43—42no—
705Q8×C43—81no—
706Q8×C43C2×#4112yes—
707D4×C43—21no—
708D4×C43—21no—
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—21no—
719C2×C4×C43—42no—
720C2×C4×C43—81no—
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C2511yescharacteristic
727C22⋊D43—41no—
728C22⋊D43—41no—
729C22⋊D43—42no—
730C22⋊D43—42no—
731C22⋊D43—81no—
732C22⋊D43—81no—
733C22⋊D43—81no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—42no—
740C2×Dic43—81no—
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747D172—21no—
748D172—21no—
749D172—21no—
750D172—21no—
751D172—21no—
752D172—41no—
753D172—42no—
754D172—42no—
755D172—42no—
756D172—81no—
757D172—81no—
758D172—81no—
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—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782Dic86—21no—
783Dic86—21no—
784Dic86—41no—
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×C43C23×D411yescharacteristic
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—21no—
808C2×D43—22no—
809C2×D43—21no—
810C2×D43—21no—
811C2×D43—41no—
812C2×D43—41no—
813C2×D43—41no—
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×C43—41no—
832C4×C43C22×#4111yescharacteristic
833C4×C43#58511yescharacteristic
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—21no—
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#3125—431no—
867#3124—431no—
868#3121D4311yescharacteristic, complemented
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×C43D4×#4111yescharacteristic
879C2×C43#358511yescharacteristic
880C2×C43#358611yescharacteristic
881D43—41no—
882D43—41no—
883D43—42no—
884D43—81no—
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#520—431no—
931#519C2×D4311yescharacteristic, complemented
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#485C2×D4311yescharacteristic, complemented
949#484—431no—
950#483—431no—
951#483—431no—
952#482C2×D4311yescharacteristic
953#481—431no—
954#481—431no—
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#477C2×D4311yescharacteristic, complemented
965#476—431no—
966#476—431no—
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#464C2×D4311yescharacteristic
985#464C2×D4311yescharacteristic
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#462—431no—
991#461—431no—
992#460—431no—
993#459—431no—
994#452—431no—
995#452—431no—
996#452—431no—
997#452—431no—
998#451C2×D4311yescharacteristic, complemented
999#450—431no—
1000#449—431no—
1001#449—431no—
1002#449—431no—
1003#449—431no—
1004#448C2×D4311yescharacteristic
1005#447—431no—
1006#446—431no—
1007#446—431no—
1008#442—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
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#440C2×D4311yescharacteristic
1024C4×Q16—431no—
1025C4×Q16—431no—
1026C4×Q16C2×D4311yescharacteristic, complemented
1027C4×SD16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16C2×D4311yescharacteristic
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—431no—
1062C2×#41—861no—
1063C22×Q8—861no—
1064C22×Q8C22×D4311yescharacteristic
1065C22×D4—431no—
1066C23×C4—861no—
1067#137—864no—
1068AGL(1,ℤ/8)—864no—
1069#135—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16C22×D4311yescharacteristic
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×D8—431no—
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—21no—
1193C4×Q8—21no—
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×Q8C22×D4311yescharacteristic
1203C4×Q8C22×D4311yescharacteristic
1204C4×Q8C22×D4311yescharacteristic
1205C4×Q8C22×D4311yescharacteristic
1206C4×Q8C22×D4311yescharacteristic
1207C4×D4—431no—
1208C4×D4—431no—
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×D4—861no—
1236C4×D4—861no—
1237C4×D4C22×D4311yescharacteristic
1238#117—21no—
1239#117—21no—
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#117C22×D4311yescharacteristic
1252#117C22×D4311yescharacteristic
1253C2×C4⋊C4—431no—
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⋊C4—861no—
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#107C22×D4311yescharacteristic
1273#107C22×D4311yescharacteristic
1274#106—431no—
1275#106—431no—
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
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#103C22×D4311yescharacteristic
1299#103C22×D4311yescharacteristic
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#102—431no—
1317#102—431no—
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—862no—
1338#41—862no—
1339#41—862no—
1340#41—862no—
1341#41—3442no—
1342#41—1721no—
1343#41—1721no—
1344#41—1721no—
1345#41—1721no—
1346C2×Q8—21no—
1347C2×Q8—21no—
1348C2×Q8—22no—
1349C2×Q8—41no—
1350C2×Q8—431no—
1351C2×Q8—431no—
1352C2×Q8—861no—
1353C2×Q8—861no—
1354C2×Q8—861no—
1355C2×Q8—3442no—
1356C2×Q8C23×D4311yescharacteristic
1357C2×Q8C23×D4311yescharacteristic
1358C2×Q8C23×D4311yescharacteristic
1359C2×D4—21no—
1360C2×D4—431no—
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—861no—
1379C2×D4—1721no—
1380C2×D4C23×D4311yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—431no—
1384C22×C4—431no—
1385C22×C4—431no—
1386C22×C4—431no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
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—41no—
1408Q16—862no—
1409Q16—862no—
1410SD16—22no—
1411SD16—41no—
1412SD16—434no—
1413SD16—862no—
1414SD16—862no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—862no—
1419D8—862no—
1420D8—862no—
1421D8—1721no—
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—21no—
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—431no—
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—431no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
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⋊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—21no—
1530C42—21no—
1531C42—21no—
1532C42—431no—
1533C42—431no—
1534C42—431no—
1535C42—431no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42C23×D4311yescharacteristic
1543C42C23×D4311yescharacteristic
1544C23—21no—
1545C23—431no—
1546C23—431no—
1547C23—861no—
1548C23—861no—
1549C23—861no—
1550C23—3441no—
1551C23—1722no—
1552C23—1722no—
1553C23C2×D4×D4311yescharacteristic
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—21no—
1558Q8—21no—
1559Q8—42no—
1560Q8—81no—
1561Q8—861no—
1562Q8—861no—
1563Q8—3441no—
1564Q8—3441no—
1565Q8—1721no—
1566Q8—1722no—
1567Q8#41×D4312yes—
1568D4—21no—
1569D4—21no—
1570D4—81no—
1571D4—432no—
1572D4—861no—
1573D4—861no—
1574D4—861no—
1575D4—861no—
1576D4—861no—
1577D4—3441no—
1578D4—3441no—
1579D4—3441no—
1580D4—3441no—
1581D4—3441no—
1582D4—3441no—
1583D4—3441no—
1584D4—1721no—
1585D4—1722no—
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—21no—
1601C2×C4—42no—
1602C2×C4—81no—
1603C2×C4—431no—
1604C2×C4—431no—
1605C2×C4—431no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—861no—
1610C2×C4—861no—
1611C2×C4—861no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—3441no—
1619C2×C4—3441no—
1620C2×C4—3441no—
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—861no—
1658C22—861no—
1659C22—862no—
1660C22—861no—
1661C22—861no—
1662C22—861no—
1663C22—861no—
1664C22—3444no—
1665C22—1721no—
1666C22—1721no—
1667C22—1721no—
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—41no—
1686C4—861no—
1687C4—861no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—1721no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4C2×#41×D4311yescharacteristic
1698C4#1458373511yescharacteristic
1699C2—41no—
1700C2—81no—
1701C2—3441no—
1702C2—3441no—
1703C2—1721no—
1704C2—1721no—
1705C2—1722no—
1706C2#1914807811yescharacteristic
1707C2#1914937311yescharacteristic
1708C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3121C2
socleC22×C43C23×D4
hypercenter#3121D43
hypocenterC43#61508
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3121

Complements

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

NH ≅ G/Ntype
1. #19148706C2semidirect
2. #19148642C2semidirect
3. #19147664C2semidirect
4. #19147519C2semidirect
5. #19147441C2semidirect
6. #19147386C2semidirect
7. #19147219C2semidirect
8. #19147068C2semidirect
9. #19147047C2semidirect
10. #19146930C2semidirect
11. #19146818C2semidirect
12. #19146749C2semidirect
13. #19146710C2semidirect
14. #19146590C2semidirect
15. #19146569C2semidirect
16. #19146229C2semidirect
17. #19146153C2semidirect
18. #19146130C2semidirect
19. #19145272C2semidirect
20. #19145232C2semidirect
21. #19145199C2semidirect
22. #19144878C2semidirect
23. #19144863C2semidirect
24. #19144796C2semidirect
25. #19144755C2semidirect
26. #19144737C2semidirect
27. #19143578C2semidirect
28. #19143475C2semidirect
29. #19143438C2semidirect
30. C4×#13063352C2semidirect
31. C43×#3121C2semidirect
36. #14583634C22semidirect
37. #14583625C22semidirect
44. #14583593C22semidirect
53. #14583560C22semidirect
60. #14583521C22semidirect
63. #14583504C22semidirect
74. #14583381C22semidirect
78. #14583307C22semidirect
79. #14583305C22semidirect
80. #14583303C22semidirect
81. #14583292C22semidirect
84. #14583266C22semidirect
85. #14583260C22semidirect
86. #14583260C22semidirect
89. #14583247C22semidirect
92. #14583233C22semidirect
93. #14583231C22semidirect
95. #14583218C22semidirect
98. #14583214C22semidirect
99. #14583213C22semidirect
100. #14583207C22semidirect
104. #14583192C22semidirect
105. #14583192C22semidirect
106. #14583188C22semidirect
107. #14583188C22semidirect
108. #14583182C22semidirect
114. #14583147C22semidirect
116. #14583146C22semidirect
118. #14583139C22semidirect
121. #14583130C22semidirect
122. #14583123C22semidirect
128. #14583107C22semidirect
129. #14583103C22semidirect
130. #14583100C22semidirect
133. #14583064C22semidirect
142. #14583028C22semidirect
143. #14583026C22semidirect
149. #14583006C22semidirect
150. #14583004C22semidirect
151. #14583004C22semidirect
153. #14583001C22semidirect
157. #14582997C22semidirect
158. C4×#10621885C22semidirect
159. C4×#10621885C22semidirect
160. C4×#10621873C22semidirect
163. C4×#10621884C22semidirect
165. #14582984C22semidirect
170. #14582973C22semidirect
173. #14582967C22semidirect
174. #14582958C22semidirect
176. #14582942C22semidirect
178. #106×D43C22semidirect
182. #14582899C22semidirect
184. C2×#13063249C22semidirect
185. #14582856C22semidirect
186. #14582855C22semidirect
189. C43×#519C22semidirect
190. C43×#485C22semidirect
192. C43×#477C22semidirect
193. C43×#475C22semidirect
196. C43×#451C22semidirect
198. C43×#441C22semidirect
200. C4×Q16×C43C22semidirect
202. C43×#433C22semidirect
599. #10621884#41semidirect
868. #3121D43semidirect
931. #519C2×D43semidirect
948. #485C2×D43semidirect
964. #477C2×D43semidirect
968. #475C2×D43semidirect
998. #451C2×D43semidirect
1016. #441C2×D43semidirect
1026. C4×Q16C2×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
#191487062
#191486422
#191476642
#191475192
#191474412
#191473862
#191472192
#191470682
#191470472
#191469302
#191468182
#191467492
#191467102
#191465902
#191465692
#191462292
#191461532
#191461302
#191452722
#191452322
#191451992
#191448782
#191448632
#191447962
#191447552
#191447372
#191435782
#191434752
#191434382
C4×#130633522
C43×#31212
#6150843