Finite Group Databasebeta

← #25979466

Subgroups — #25979466

Order 11008.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148592C211yesmaximal, characteristic, complemented
2#19148552C211yesmaximal, characteristic, complemented
3#19147640C211yesmaximal, characteristic, complemented
4#19147519C211yesmaximal, characteristic, complemented
5#19147292C211yesmaximal, characteristic, complemented
6#19147227C211yesmaximal, characteristic, complemented
7#19147177C211yesmaximal, characteristic, complemented
8#19147099C211yesmaximal, characteristic, complemented
9#19147095C211yesmaximal, characteristic, complemented
10#19146541C211yesmaximal, characteristic, complemented
11#19146530C211yesmaximal, characteristic, complemented
12#19146447C211yesmaximal, characteristic, complemented
13#19146440C211yesmaximal, characteristic, complemented
14#19146403C211yesmaximal, characteristic, complemented
15#19146208C211yesmaximal, characteristic, complemented
16#19146136C211yesmaximal, characteristic, complemented
17#19146128C211yesmaximal, characteristic, complemented
18#19145285C211yesmaximal, characteristic, complemented
19#19145281C211yesmaximal, characteristic, complemented
20#19145169C211yesmaximal, characteristic, complemented
21#19144864C211yesmaximal, characteristic, complemented
22#19144850C211yesmaximal, characteristic, complemented
23#19144836C211yesmaximal, characteristic, complemented
24#19144834C211yesmaximal, characteristic, complemented
25#19144741C211yesmaximal, characteristic, complemented
26#19144739C211yesmaximal, characteristic, complemented
27#19143563C211yesmaximal, characteristic, complemented
28#19143430C211yesmaximal, characteristic, complemented
29#19143422C211yesmaximal, characteristic, complemented
30#19143363C211yesmaximal, characteristic, complemented
31C43×#3305C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C2×#13063345C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583625C2211yescharacteristic, complemented
37#14583617C2211yescharacteristic
38#14583612C2211yescharacteristic
39#14583596—21no—
40#14583596C2211yescharacteristic, complemented
41#14583595—21no—
42#14583595C2211yescharacteristic, complemented
43#14583579—21no—
44#14583573—21no—
45#14583569—21no—
46#14583569C2211yescharacteristic, complemented
47#14583568C2211yescharacteristic
48#14583568C2211yescharacteristic, complemented
49#14583564C2211yescharacteristic
50#14583557—21no—
51#14583549—21no—
52#14583549C2211yescharacteristic
53#14583546C2211yescharacteristic
54#14583545C2211yescharacteristic
55#14583538—21no—
56#14583533C2211yescharacteristic
57#14583523C2211yescharacteristic
58#14583516C2211yescharacteristic
59#14583503—21no—
60#14583503C2211yescharacteristic, complemented
61#14583502—21no—
62#14583502C2211yescharacteristic, complemented
63#14583483—21no—
64#14583481—21no—
65#14583444—21no—
66#14583444C2211yescharacteristic
67#14583444C2211yescharacteristic, complemented
68#14583429—21no—
69#14583429C2211yescharacteristic
70#14583427—21no—
71#124×D43—21no—
72#14583382C2211yescharacteristic, complemented
73#14583381C2211yescharacteristic, complemented
74#14583373C2211yescharacteristic
75#14583371C2211yescharacteristic
76#41×Dic43C2211yescharacteristic, complemented
77#14583367C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583303C2211yescharacteristic, complemented
81#14583287C2211yescharacteristic, complemented
82#14583286C2211yescharacteristic, complemented
83#14583274C2211yescharacteristic
84#14583254C2211yescharacteristic, complemented
85#14583252C2211yescharacteristic, complemented
86#14583244C2211yescharacteristic
87#14583244C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583236C2211yescharacteristic, complemented
90#14583235C2211yescharacteristic, complemented
91#14583224C2211yescharacteristic, complemented
92#14583223C2211yescharacteristic, complemented
93#14583223C2211yescharacteristic, complemented
94#14583222C2211yescharacteristic, complemented
95#14583221C2211yescharacteristic, complemented
96#14583220C2211yescharacteristic, complemented
97#14583214C2211yescharacteristic
98#14583210C2211yescharacteristic
99#14583202C2211yescharacteristic
100#14583200C2211yescharacteristic
101#14583199C2211yescharacteristic, complemented
102#14583198C2211yescharacteristic, complemented
103#14583192C2211yescharacteristic, complemented
104#14583183C2211yescharacteristic, complemented
105#14583182C2211yescharacteristic, complemented
106#14583178C2211yescharacteristic
107#14583177C2211yescharacteristic, complemented
108#14583177C2211yescharacteristic, complemented
109#14583176C2211yescharacteristic, complemented
110#14583151C2211yescharacteristic
111#14583150C2211yescharacteristic
112#14583144C2211yescharacteristic, complemented
113#14583143C2211yescharacteristic, complemented
114#14583135C2211yescharacteristic, complemented
115#14583134C2211yescharacteristic
116#14583133C2211yescharacteristic, complemented
117#14583133C2211yescharacteristic, complemented
118#14583128C2211yescharacteristic, complemented
119#14583127C2211yescharacteristic, complemented
120#14583121C2211yescharacteristic, complemented
121#14583119C2211yescharacteristic, complemented
122#14583115C2211yescharacteristic, complemented
123#14583112C2211yescharacteristic, complemented
124#14583098C2211yescharacteristic, complemented
125#14583097C2211yescharacteristic
126#14583093C2211yescharacteristic
127#14583093C2211yescharacteristic
128#14583093C2211yescharacteristic, complemented
129#14583092C2211yescharacteristic
130#14583091C2211yescharacteristic
131#14583064C2211yescharacteristic, complemented
132#14583061C2211yescharacteristic, complemented
133#14583047C2211yescharacteristic
134#14583046C2211yescharacteristic
135#14583044C2211yescharacteristic, complemented
136#14583042C2211yescharacteristic
137#14583035C2211yescharacteristic
138#14583032C2211yescharacteristic
139#14583031C2211yescharacteristic
140#14583031C2211yescharacteristic
141#14583028C2211yescharacteristic, complemented
142C8×Dic86C2211yescharacteristic, complemented
143#14583011C2211yescharacteristic, complemented
144#14583010C2211yescharacteristic
145#14583009C2211yescharacteristic, complemented
146#14583008C2211yescharacteristic
147#14583008C2211yescharacteristic, complemented
148#14583008C2211yescharacteristic, complemented
149#14583002C2211yescharacteristic
150#14583002C2211yescharacteristic, complemented
151#14583000C2211yescharacteristic, complemented
152#14582998C2211yescharacteristic, complemented
153#14582997C2211yescharacteristic
154#14582996C2211yescharacteristic, complemented
155#14582991C2211yescharacteristic, complemented
156#14582991C2211yescharacteristic, complemented
157#14582990C2211yescharacteristic, complemented
158#14582990C2211yescharacteristic, complemented
159#14582984C2211yescharacteristic
160#14582984C2211yescharacteristic
161#14582984C2211yescharacteristic, complemented
162C4×D344C2211yescharacteristic
163D8×Dic43C2211yescharacteristic, complemented
164#14582981C2211yescharacteristic, complemented
165#14582979C2211yescharacteristic
166#14582979C2211yescharacteristic
167#14582979C2211yescharacteristic
168#14582979C2211yescharacteristic, complemented
169#14582979C2211yescharacteristic, complemented
170#14582974C2211yescharacteristic
171#14582971C2211yescharacteristic, complemented
172#14582967C2211yescharacteristic, complemented
173C8×C22⋊D43C2211yescharacteristic
174C8×C22⋊D43C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582942C2211yescharacteristic, complemented
179#14582938C2211yescharacteristic, complemented
180#14582935C2211yescharacteristic, complemented
181#14582896C2211yescharacteristic
182#14582894C2211yescharacteristic, complemented
183C2×#13063247C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582854C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187C2×C8×Dic43C2211yescharacteristic, complemented
188C43×#555C2211yescharacteristic
189C43×#550C2211yescharacteristic, complemented
190C43×#486C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#477C2211yescharacteristic, complemented
194C43×#466C2211yescharacteristic
195C43×#466C2211yescharacteristic, complemented
196C43×#459C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic
198C43×#449C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C8×D4×C43C2211yescharacteristic, complemented
201C43×#416C2211yescharacteristic, complemented
202C43×#416C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×#10621900—21no—
209C2×Q8×D43—21no—
210C22×D172C2311yescharacteristic
211C2×D4×D43—21no—
212C2×D4×D43C2311yescharacteristic
213#13063352—24no—
214#13063350—24no—
215#13063345—24no—
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621877C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C22×C43⋊C8C2311yescharacteristic
232C2×C8×D43C2311yescharacteristic
233#13063324—21no—
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063321—21no—
238#13063321—21no—
239#13063321C2311yescharacteristic
240#13063321C2311yescharacteristic
241#13063321C2311yescharacteristic
242#13063320—21no—
243#13063320—21no—
244#13063320D411yescharacteristic
245#13063319—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318D411yescharacteristic
250#13063317—21no—
251#13063317C2311yescharacteristic
252#13063316—21no—
253#13063316C2311yescharacteristic
254#13063315D411yescharacteristic
255#13063314—21no—
256#13063313—21no—
257#13063313C2311yescharacteristic
258#13063312—21no—
259#13063312C2311yescharacteristic
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311D411yescharacteristic
266#13063310—21no—
267#13063310—21no—
268#13063309—21no—
269#13063309D411yescharacteristic
270#13063308—21no—
271#13063307—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307—21no—
276#13063306—21no—
277#13063306—21no—
278#13063306—21no—
279#13063306—21no—
280#13063306—21no—
281#13063306D411yescharacteristic
282#13063305C2311yescharacteristic
283#13063304C2311yescharacteristic
284#13063303—21no—
285#13063303—21no—
286#13063302—21no—
287#13063302—21no—
288#13063302D411yescharacteristic
289#13063301—21no—
290#13063301—21no—
291#13063300C2311yescharacteristic
292#13063299—21no—
293#13063299—21no—
294#13063299C2311yescharacteristic
295#13063299C2311yescharacteristic
296#13063299C2311yescharacteristic
297#13063298—21no—
298#13063298—21no—
299#13063298—21no—
300#13063297—21no—
301#13063297—21no—
302#13063297—21no—
303#13063297—21no—
304#13063297—21no—
305#13063297—21no—
306#13063297—21no—
307#13063297—21no—
308#13063297D411yescharacteristic
309#13063296—21no—
310#13063296—21no—
311#13063296—21no—
312#13063296—21no—
313#13063296—21no—
314#13063296—21no—
315#13063296C2311yescharacteristic
316#13063296C2311yescharacteristic
317#13063295—21no—
318#13063293—21no—
319#13063293—21no—
320#13063293—21no—
321Q8×Dic43C2311yescharacteristic
322Q8×Dic43C2311yescharacteristic
323Q8×Dic43C2311yescharacteristic
324C4×Dic86—21no—
325C4×Dic86—21no—
326C4×Dic86C2311yescharacteristic
327#13063290C2311yescharacteristic
328#13063290C2311yescharacteristic
329C4×D172—21no—
330C4×D172—21no—
331C4×D172—21no—
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334D4×Dic43—21no—
335D4×Dic43—21no—
336D4×Dic43—21no—
337D4×Dic43—21no—
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343#13063287—21no—
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43C2311yescharacteristic
355C4×C22⋊D43C2311yescharacteristic
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363#13063284—21no—
364#13063284—21no—
365#13063284C2311yescharacteristic
366#13063284C2311yescharacteristic
367#13063283C2311yescharacteristic
368#13063282—21no—
369#13063282—21no—
370#13063282—21no—
371#13063282C2311yescharacteristic
372C2×C4⋊Dic43—21no—
373C2×C4⋊Dic43C2311yescharacteristic
374C4⋊C4×D43—21no—
375C4⋊C4×D43C2311yescharacteristic
376C2×(C2×D43)⋊C4—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C2×C4×Dic43—21no—
383C2×C4×Dic43C2311yescharacteristic
384C42×D43—21no—
385#13063259C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
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×D8×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444C22×C8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#127×C43—21no—
447#127×C43C2311yescharacteristic
448#124×C43—21no—
449#124×C43—21no—
450#121×C43—21no—
451#121×C43—21no—
452#121×C43—21no—
453#121×C43C2311yescharacteristic
454#121×C43C2311yescharacteristic
455#121×C43C2311yescharacteristic
456#121×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×D4×C43—21no—
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461#117×C43—21no—
462#117×C43C2311yescharacteristic
463#117×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483#41×C43—22no—
484#41×C43—22no—
485#41×C43—41no—
486#41×C43—41no—
487C2×Q8×C43—21no—
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43C2×D411yescharacteristic
498C2×D4×C43C2411yescharacteristic
499C2×D4×C43C2411yescharacteristic
500C2×D4×C43C2411yescharacteristic
501C22×C4×C43—21no—
502C22×C4×C43—21no—
503C22×C4×C43—21no—
504C22×C4×C43C2411yescharacteristic
505C22×C4×C43C2411yescharacteristic
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43C2×D411yescharacteristic
520C2×C22⋊D43C2×D411yescharacteristic
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43C2×D411yescharacteristic
528C22×Dic43C2×D411yescharacteristic
529#10621902—22no—
530#10621902—41no—
531Q8×D43—82no—
532#10621900—82no—
533#10621900—82no—
534#10621900—82no—
535#10621900—82no—
536D4×D43—22no—
537D4×D43—41no—
538D4×D43—82no—
539#10621898—22no—
540#10621898—41no—
541C2×D172—21no—
542C2×D172—21no—
543C2×D172—21no—
544C2×D172—22no—
545C2×D172—41no—
546C2×D172C2411yescharacteristic
547C2×D172C2411yescharacteristic
548C2×D172C2411yescharacteristic
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43C2411yescharacteristic
561C2×Dic86—21no—
562C2×Dic86—21no—
563C2×Dic86—21no—
564C2×Dic86C2×D411yescharacteristic
565C2×Dic86C2411yescharacteristic
566SD16×C43—22no—
567D8×C43—41no—
568D8×C43—41no—
569C2×C8×C43—41no—
570C2×C8×C43—41no—
571C2×C8×C43C2411yescharacteristic
572C2×C8×C43C2411yescharacteristic
573C2×C8×C43C2411yescharacteristic
574C2×C8×C43C2411yescharacteristic
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43C2×D411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C4⋊C4×C43C2411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C4⋊C4×C43C2411yescharacteristic
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43C2×D411yescharacteristic
590C22⋊C4×C43C2×D411yescharacteristic
591C42×C43—21no—
592C42×C43—21no—
593C42×C43—21no—
594C42×C43C2411yescharacteristic
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43C2×D411yescharacteristic
607C22⋊Dic43C2×D411yescharacteristic
608C22⋊Dic43C2×D411yescharacteristic
609C22⋊Dic43C2×D411yescharacteristic
610#10621885—22no—
611#10621884—22no—
612#10621884#4114yescomplemented
613#10621883—22no—
614#10621883—41no—
615#10621882—22no—
616#10621882—22no—
617#10621882—22no—
618#10621882—22no—
619#10621882—41no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4C2×D411yescharacteristic
637(C2×D43)⋊C4C2×D411yescharacteristic
638(C2×D43)⋊C4C2×D411yescharacteristic
639(C2×D43)⋊C4C2×D411yescharacteristic
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43C2×D411yescharacteristic
647C4⋊Dic43C2×D411yescharacteristic
648C4⋊Dic43C2×D411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43C2×D411yescharacteristic
677C4×Dic43C2×D411yescharacteristic
678C4×Dic43C2411yescharacteristic
679C4×Dic43C2411yescharacteristic
680C4×Dic43C2411yescharacteristic
681#10621877—22no—
682C2×C43⋊C8—22no—
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687D344—22no—
688D344—41no—
689#10621873—41no—
690#10621872—22no—
691C8×D43—41no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43C22×D411yescharacteristic
696C23×C43C22×D411yescharacteristic
697C22×D43—21no—
698C22×D43—21no—
699C22×D43—21no—
700C22×D43—42no—
701C22×D43—42no—
702C22×D43—81no—
703C22×D43—81no—
704C22×D43—81no—
705C22×D43—81no—
706C22×D43C22×D411yescharacteristic
707Q8×C43—21no—
708Q8×C43—81no—
709Q8×C43C2×#4112yes—
710D4×C43—21no—
711D4×C43—21no—
712D4×C43—21no—
713D4×C43—21no—
714D4×C43—21no—
715D4×C43—21no—
716D4×C43—41no—
717D4×C43—42no—
718D4×C43—42no—
719D4×C43—81no—
720D4×C43—81no—
721D4×C43—81no—
722D4×C43—81no—
723D4×C43—81no—
724D4×C43—81no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—42no—
735C2×C4×C43—42no—
736C2×C4×C43—81no—
737C2×C4×C43C22×D411yescharacteristic
738C2×C4×C43C22×D411yescharacteristic
739C2×C4×C43C22×D411yescharacteristic
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C2511yescharacteristic
742C22⋊D43—22no—
743C22⋊D43—41no—
744C22⋊D43—42no—
745C22⋊D43—42no—
746C22⋊D43—42no—
747C22⋊D43—42no—
748C22⋊D43—81no—
749C22⋊D43—81no—
750C22⋊D43—81no—
751C22⋊D43—81no—
752C22⋊D43—81no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C2×Dic43—22no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—41no—
764C2×Dic43—42no—
765C2×Dic43—81no—
766C2×Dic43—81no—
767C2×Dic43—81no—
768C2×Dic43—81no—
769C2×Dic43—81no—
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776C2×Dic43C22×D411yescharacteristic
777D172—21no—
778D172—21no—
779D172—21no—
780D172—21no—
781D172—21no—
782D172—42no—
783D172—42no—
784D172—81no—
785D172C2×#4112yes—
786C4×D43—21no—
787C4×D43—21no—
788C4×D43—42no—
789C4×D43—42no—
790C4×D43—42no—
791C4×D43—81no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799Dic86—22no—
800Dic86—21no—
801Dic86—21no—
802Dic86—42no—
803Dic86—42no—
804Dic86—81no—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43—21no—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8C2×#4112yes—
813#61494—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43—21no—
818C22×C43—21no—
819C22×C43—21no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43C23×D411yescharacteristic
830C2×D43—21no—
831C2×D43—22no—
832C2×D43—21no—
833C2×D43—21no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—162no—
843C2×D43—162no—
844C4×C43—21no—
845C4×C43—21no—
846C4×C43—22no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—41no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43C22×#4111yescharacteristic
854C4×C43#58511yescharacteristic
855Dic43—21no—
856Dic43—21no—
857Dic43—21no—
858Dic43—21no—
859Dic43—21no—
860Dic43—21no—
861Dic43—41no—
862Dic43—41no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43#57612yes—
867#3517—431no—
868#3514—431no—
869#3399—431no—
870#3386—431no—
871#3365—431no—
872#3358—431no—
873#3353—431no—
874#3347—431no—
875#3347—431no—
876#3305—431no—
877#3305D4311yescharacteristic, complemented
878#3304—431no—
879#3297—431no—
880#3297—431no—
881#3294—431no—
882#3274—431no—
883#3268—431no—
884#3268—431no—
885#3179—431no—
886#3179—431no—
887#3169—431no—
888#3124—431no—
889#3124—431no—
890#3122—431no—
891#3122—431no—
892#3115—431no—
893#3115—431no—
894#2966—431no—
895#2946—431no—
896#2946—431no—
897C4×#135—431no—
898C2×C43—41no—
899C2×C43—41no—
900C2×C43—81no—
901C2×C43—81no—
902C2×C43—81no—
903C2×C43D4×#4111yescharacteristic
904C2×C43C2×#57611yescharacteristic
905C2×C43#358411yescharacteristic
906D43—41no—
907D43—42no—
908D43—81no—
909D43—81no—
910C2×AGL(1,ℤ/8)—431no—
911C2×AGL(1,ℤ/8)—431no—
912C2×#135—431no—
913#559—431no—
914#557—431no—
915#556—431no—
916#555—431no—
917#555C2×D4311yescharacteristic
918#553—431no—
919#553—431no—
920#553—861no—
921#553—861no—
922#551—861no—
923#551—861no—
924#550—431no—
925#550—431no—
926#550—431no—
927#550—861no—
928#550C2×D4311yescharacteristic, complemented
929D4×Q8—431no—
930#548—861no—
931#547—431no—
932#547—861no—
933#546—431no—
934#546—431no—
935#546—861no—
936D42—431no—
937#542—431no—
938#542—431no—
939#540—431no—
940#540—431no—
941#540—861no—
942#540—861no—
943#538—861no—
944#538—861no—
945#532—431no—
946#532—431no—
947#532—861no—
948#529—431no—
949#529—861no—
950#529—861no—
951C2×#124—861no—
952#520—431no—
953#520—431no—
954#518—431no—
955#518—431no—
956C4×#41—431no—
957C4×#41—431no—
958#501—431no—
959#501—431no—
960#500—431no—
961#496—431no—
962#496—431no—
963#493—431no—
964#488—431no—
965#488—431no—
966#486—431no—
967#486—431no—
968#486—431no—
969#486C2×D4311yescharacteristic, complemented
970#484—431no—
971#484—431no—
972#482—431no—
973#482—431no—
974#482—431no—
975#482—431no—
976#482—431no—
977#482—431no—
978#482C2×D4311yescharacteristic, complemented
979#482C2×D4311yescharacteristic, complemented
980#480—431no—
981#480—431no—
982#478—431no—
983#478—431no—
984#478—431no—
985#478—431no—
986#477—431no—
987#477C2×D4311yescharacteristic, complemented
988#475—431no—
989#475—431no—
990#474—431no—
991#474—431no—
992#474—431no—
993#474—431no—
994#469—431no—
995#469—431no—
996#468—431no—
997#468—431no—
998#466—431no—
999#466—431no—
1000#466—431no—
1001#466—431no—
1002#466C2×D4311yescharacteristic
1003#466C2×D4311yescharacteristic, complemented
1004#465—431no—
1005#465—431no—
1006#464—431no—
1007#464—431no—
1008#463—431no—
1009#463—431no—
1010#460—431no—
1011#460—431no—
1012#459—431no—
1013#459—431no—
1014#459—431no—
1015#459—431no—
1016#459—431no—
1017#459C2×D4311yescharacteristic, complemented
1018#452—431no—
1019#452—431no—
1020#449—431no—
1021#449—431no—
1022#449—431no—
1023#449—431no—
1024#449C2×D4311yescharacteristic
1025#449C2×D4311yescharacteristic, complemented
1026#447—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#446—431no—
1031C8×Q8—431no—
1032#442—431no—
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#440—431no—
1039#440—431no—
1040#440—431no—
1041#440—431no—
1042#440—431no—
1043#440—431no—
1044C4×Q16—431no—
1045C4×Q16—431no—
1046C4×SD16—431no—
1047C4×SD16—431no—
1048C4×SD16—431no—
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16C2×D4311yescharacteristic, complemented
1052C4×D8—431no—
1053C4×D8—431no—
1054C4×D8—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060#436—431no—
1061#435—431no—
1062#435—431no—
1063C8×D4—431no—
1064C8×D4—431no—
1065C8×D4C2×D4311yescharacteristic, complemented
1066#433—431no—
1067#433—431no—
1068#432—431no—
1069#428—431no—
1070#428—431no—
1071#427—431no—
1072#416—431no—
1073#416—431no—
1074#416C2×D4311yescharacteristic, complemented
1075#416C2×D4311yescharacteristic, complemented
1076C2×#102—431no—
1077C2×#102—431no—
1078#405—431no—
1079#405—431no—
1080C2×C4×C8—431no—
1081C43#6149411yescharacteristic, complemented, Sylow
1082C2×#41—431no—
1083C2×#41—431no—
1084C2×#41—861no—
1085C2×#41—861no—
1086C2×#41—861no—
1087C2×#41—861no—
1088C2×#41C22×D4311yescharacteristic
1089C2×#41C22×D4311yescharacteristic
1090C22×Q8—861no—
1091C22×D4—431no—
1092C22×D4—431no—
1093C22×D4—861no—
1094AGL(1,ℤ/8)—864no—
1095AGL(1,ℤ/8)—864no—
1096#135—864no—
1097C2×Q16—431no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16C22×D4311yescharacteristic
1104C2×D8—431no—
1105C2×D8—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8C22×D4311yescharacteristic
1112C2×D8C22×D4311yescharacteristic
1113C2×M16—431no—
1114C2×M16—431no—
1115C22×C8—431no—
1116C22×C8—431no—
1117C22×C8C22×D4311yescharacteristic
1118C22×C8C22×D4311yescharacteristic
1119C4⋊Q8—431no—
1120C4⋊Q8—431no—
1121C4⋊Q8—431no—
1122C4⋊Q8—861no—
1123C4⋊Q8C22×D4311yescharacteristic
1124#127—21no—
1125#127—431no—
1126#127—431no—
1127#127—431no—
1128#127—861no—
1129#127—861no—
1130#127C22×D4311yescharacteristic
1131#126—431no—
1132#126—431no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#126—861no—
1138#126—861no—
1139#125—431no—
1140#125—431no—
1141#125—431no—
1142#125—861no—
1143#125—861no—
1144#124—21no—
1145#124—21no—
1146#124—431no—
1147#124—431no—
1148#124—431no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124—861no—
1156#124—861no—
1157#123—431no—
1158#123—431no—
1159#123—861no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—431no—
1186#121—431no—
1187#121—431no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—431no—
1192#121—861no—
1193#121—861no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121C22×D4311yescharacteristic
1212#121C22×D4311yescharacteristic
1213#121C22×D4311yescharacteristic
1214#121C22×D4311yescharacteristic
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219C4×Q8—431no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—861no—
1226C4×Q8—861no—
1227C4×Q8C22×D4311yescharacteristic
1228C4×D4—21no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4—861no—
1263C4×D4C22×D4311yescharacteristic
1264C4×D4C22×D4311yescharacteristic
1265#117—21no—
1266#117—431no—
1267#117—431no—
1268#117—431no—
1269#117—431no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117—861no—
1275#117C22×D4311yescharacteristic
1276#117C22×D4311yescharacteristic
1277C2×C4⋊C4—431no—
1278C2×C4⋊C4—431no—
1279C2×C4⋊C4—861no—
1280C2×C4⋊C4—861no—
1281C2×C22⋊C4—861no—
1282C2×C22⋊C4—861no—
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C42—431no—
1288C2×C42—861no—
1289C2×C42—861no—
1290#107—431no—
1291#107—431no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#107—431no—
1297#107—431no—
1298#107C22×D4311yescharacteristic
1299#107C22×D4311yescharacteristic
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106C22×D4311yescharacteristic
1306C4⋊C8—431no—
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8C22×D4311yescharacteristic
1312#103—431no—
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103C22×D4311yescharacteristic
1318#103C22×D4311yescharacteristic
1319#103C22×D4311yescharacteristic
1320#102—431no—
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102C22×D4311yescharacteristic
1338#102C22×D4311yescharacteristic
1339#102C22×D4311yescharacteristic
1340#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344C22⋊C8—431no—
1345C22⋊C8—431no—
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8C22×D4311yescharacteristic
1349C22⋊C8C22×D4311yescharacteristic
1350#97—431no—
1351#97—431no—
1352#97—431no—
1353#97—431no—
1354C4×C8—431no—
1355C4×C8—431no—
1356C4×C8—431no—
1357C4×C8—431no—
1358C4×C8—431no—
1359C4×C8C22×D4311yescharacteristic
1360C24—861no—
1361C24—861no—
1362#41—22no—
1363#41—22no—
1364#41—41no—
1365#41—41no—
1366#41—862no—
1367#41—862no—
1368#41—3442no—
1369#41—3442no—
1370#41—3442no—
1371#41—3442no—
1372#41—1721no—
1373#41—1721no—
1374C2×Q8—21no—
1375C2×Q8—431no—
1376C2×Q8—431no—
1377C2×Q8—861no—
1378C2×Q8—861no—
1379C2×Q8—861no—
1380C2×Q8—3442no—
1381C2×Q8C23×D4311yescharacteristic
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—431no—
1391C2×D4—431no—
1392C2×D4—431no—
1393C2×D4—431no—
1394C2×D4—431no—
1395C2×D4—862no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—862no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—861no—
1411C2×D4—861no—
1412C2×D4—861no—
1413C2×D4—3442no—
1414C2×D4—1721no—
1415C2×D4—1721no—
1416C2×D4D4×D4311yescharacteristic
1417C2×D4C23×D4311yescharacteristic
1418C2×D4C23×D4311yescharacteristic
1419C2×D4C23×D4311yescharacteristic
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—431no—
1424C22×C4—431no—
1425C22×C4—431no—
1426C22×C4—861no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—861no—
1443C22×C4C23×D4311yescharacteristic
1444C22×C4C23×D4311yescharacteristic
1445Q16—862no—
1446SD16—22no—
1447SD16—434no—
1448SD16—862no—
1449SD16—862no—
1450SD16—1721no—
1451SD16—1721no—
1452D8—41no—
1453D8—41no—
1454D8—862no—
1455D8—862no—
1456D8—862no—
1457D8—862no—
1458D8—862no—
1459D8—1721no—
1460D8—1721no—
1461M16—862no—
1462M16—862no—
1463C2×C8—41no—
1464C2×C8—41no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—431no—
1469C2×C8—862no—
1470C2×C8—1721no—
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C2×C8C23×D4311yescharacteristic
1474C2×C8C23×D4311yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—431no—
1478C4⋊C4—431no—
1479C4⋊C4—431no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—431no—
1483C4⋊C4—431no—
1484C4⋊C4—431no—
1485C4⋊C4—431no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—431no—
1489C4⋊C4—431no—
1490C4⋊C4—861no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4D4×D4311yescharacteristic
1507C4⋊C4C23×D4311yescharacteristic
1508C4⋊C4C23×D4311yescharacteristic
1509C4⋊C4C23×D4311yescharacteristic
1510C4⋊C4C23×D4311yescharacteristic
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—431no—
1519C22⋊C4—431no—
1520C22⋊C4—431no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4D4×D4311yescharacteristic
1554C22⋊C4D4×D4311yescharacteristic
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42—431no—
1559C42—431no—
1560C42—431no—
1561C42—431no—
1562C42—431no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42C23×D4311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—431no—
1575C23—861no—
1576C23—861no—
1577C23—861no—
1578C23—3441no—
1579C23—3441no—
1580C23—3441no—
1581C23—3441no—
1582C23—1722no—
1583C23—1722no—
1584C23C2×D4×D4311yescharacteristic
1585C23C2×D4×D4311yescharacteristic
1586Q8—21no—
1587Q8—81no—
1588Q8—862no—
1589Q8—861no—
1590Q8—861no—
1591Q8—3441no—
1592Q8—1722no—
1593Q8—1722no—
1594Q8#41×D4312yes—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—41no—
1602D4—42no—
1603D4—42no—
1604D4—81no—
1605D4—81no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4—432no—
1611D4—862no—
1612D4—861no—
1613D4—861no—
1614D4—861no—
1615D4—861no—
1616D4—861no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—3441no—
1626D4—3441no—
1627D4—1722no—
1628D4—1722no—
1629D4—1722no—
1630D4—1722no—
1631D4—1721no—
1632D4—1722no—
1633D4—1722no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—42no—
1644C2×C4—42no—
1645C2×C4—81no—
1646C2×C4—431no—
1647C2×C4—431no—
1648C2×C4—431no—
1649C2×C4—431no—
1650C2×C4—431no—
1651C2×C4—431no—
1652C2×C4—431no—
1653C2×C4—862no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—3441no—
1662C2×C4—3441no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—3441no—
1672C2×C4—3441no—
1673C2×C4—3441no—
1674C2×C4—1722no—
1675C2×C4—1722no—
1676C2×C4—1722no—
1677C2×C4—1722no—
1678C2×C4—1721no—
1679C2×C4C2×D4×D4311yescharacteristic
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C24×D4311yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—432no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—861no—
1708C22—861no—
1709C22—862no—
1710C22—861no—
1711C22—1721no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—6882no—
1720C22—6882no—
1721C22C22×D4×D4311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—22no—
1726C4—21no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—432no—
1732C4—861no—
1733C4—861no—
1734C4—861no—
1735C4—861no—
1736C4—861no—
1737C4—861no—
1738C4—1721no—
1739C4—1721no—
1740C4—1721no—
1741C4—1721no—
1742C4—1721no—
1743C4C2×#41×D4311yescharacteristic
1744C4#1458373411yescharacteristic
1745C2—41no—
1746C2—41no—
1747C2—81no—
1748C2—81no—
1749C2—81no—
1750C2—3441no—
1751C2—3441no—
1752C2—1721no—
1753C2—1722no—
1754C2#1914807911yescharacteristic
1755C2#576×D4311yescharacteristic
1756C2#1914936411yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3305C2
socleC22×C43C23×D4
hypercenter#3305D43
hypocenterC43#61494
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3305

Complements

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

NH ≅ G/Ntype
1. #19148592C2semidirect
2. #19148552C2semidirect
3. #19147640C2semidirect
4. #19147519C2semidirect
5. #19147292C2semidirect
6. #19147227C2semidirect
7. #19147177C2semidirect
8. #19147099C2semidirect
9. #19147095C2semidirect
10. #19146541C2semidirect
11. #19146530C2semidirect
12. #19146447C2semidirect
13. #19146440C2semidirect
14. #19146403C2semidirect
15. #19146208C2semidirect
16. #19146136C2semidirect
17. #19146128C2semidirect
18. #19145285C2semidirect
19. #19145281C2semidirect
20. #19145169C2semidirect
21. #19144864C2semidirect
22. #19144850C2semidirect
23. #19144836C2semidirect
24. #19144834C2semidirect
25. #19144741C2semidirect
26. #19144739C2semidirect
27. #19143563C2semidirect
28. #19143430C2semidirect
29. #19143422C2semidirect
30. #19143363C2semidirect
31. C43×#3305C2semidirect
36. #14583625C22semidirect
40. #14583596C22semidirect
42. #14583595C22semidirect
46. #14583569C22semidirect
48. #14583568C22semidirect
60. #14583503C22semidirect
62. #14583502C22semidirect
67. #14583444C22semidirect
72. #14583382C22semidirect
73. #14583381C22semidirect
76. #41×Dic43C22semidirect
78. #14583307C22semidirect
79. #14583305C22semidirect
80. #14583303C22semidirect
81. #14583287C22semidirect
82. #14583286C22semidirect
84. #14583254C22semidirect
85. #14583252C22semidirect
87. #14583244C22semidirect
88. #14583244C22semidirect
89. #14583236C22semidirect
90. #14583235C22semidirect
91. #14583224C22semidirect
92. #14583223C22semidirect
93. #14583223C22semidirect
94. #14583222C22semidirect
95. #14583221C22semidirect
96. #14583220C22semidirect
101. #14583199C22semidirect
102. #14583198C22semidirect
103. #14583192C22semidirect
104. #14583183C22semidirect
105. #14583182C22semidirect
107. #14583177C22semidirect
108. #14583177C22semidirect
109. #14583176C22semidirect
112. #14583144C22semidirect
113. #14583143C22semidirect
114. #14583135C22semidirect
116. #14583133C22semidirect
117. #14583133C22semidirect
118. #14583128C22semidirect
119. #14583127C22semidirect
120. #14583121C22semidirect
121. #14583119C22semidirect
122. #14583115C22semidirect
123. #14583112C22semidirect
124. #14583098C22semidirect
128. #14583093C22semidirect
131. #14583064C22semidirect
132. #14583061C22semidirect
135. #14583044C22semidirect
141. #14583028C22semidirect
142. C8×Dic86C22semidirect
143. #14583011C22semidirect
145. #14583009C22semidirect
147. #14583008C22semidirect
148. #14583008C22semidirect
150. #14583002C22semidirect
151. #14583000C22semidirect
152. #14582998C22semidirect
154. #14582996C22semidirect
155. #14582991C22semidirect
156. #14582991C22semidirect
157. #14582990C22semidirect
158. #14582990C22semidirect
161. #14582984C22semidirect
163. D8×Dic43C22semidirect
164. #14582981C22semidirect
168. #14582979C22semidirect
169. #14582979C22semidirect
171. #14582971C22semidirect
172. #14582967C22semidirect
174. C8×C22⋊D43C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582942C22semidirect
179. #14582938C22semidirect
180. #14582935C22semidirect
182. #14582894C22semidirect
185. #14582854C22semidirect
186. #14582853C22semidirect
187. C2×C8×Dic43C22semidirect
189. C43×#550C22semidirect
190. C43×#486C22semidirect
191. C43×#482C22semidirect
192. C43×#482C22semidirect
193. C43×#477C22semidirect
195. C43×#466C22semidirect
196. C43×#459C22semidirect
198. C43×#449C22semidirect
199. C4×SD16×C43C22semidirect
200. C8×D4×C43C22semidirect
201. C43×#416C22semidirect
202. C43×#416C22semidirect
612. #10621884#41semidirect
877. #3305D43semidirect
928. #550C2×D43semidirect
969. #486C2×D43semidirect
978. #482C2×D43semidirect
979. #482C2×D43semidirect
987. #477C2×D43semidirect
1003. #466C2×D43semidirect
1017. #459C2×D43semidirect
1025. #449C2×D43semidirect
1051. C4×SD16C2×D43semidirect
1065. C8×D4C2×D43semidirect
1074. #416C2×D43semidirect
1075. #416C2×D43semidirect
1081. C43#61494semidirect

Maximal subgroups

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

subgroupindex
#191485922
#191485522
#191476402
#191475192
#191472922
#191472272
#191471772
#191470992
#191470952
#191465412
#191465302
#191464472
#191464402
#191464032
#191462082
#191461362
#191461282
#191452852
#191452812
#191451692
#191448642
#191448502
#191448362
#191448342
#191447412
#191447392
#191435632
#191434302
#191434222
#191433632
C43×#33052
#6149443