Finite Group Databasebeta

← #25979797

Subgroups — #25979797

Order 11008.

1886 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#19148530C211yesmaximal, characteristic, complemented
3#19147640C211yesmaximal, characteristic, complemented
4#19147547C211yesmaximal, characteristic, complemented
5#19147359C211yesmaximal, characteristic, complemented
6#19147307C211yesmaximal, characteristic, complemented
7#19147159C211yesmaximal, characteristic, complemented
8#19147065C211yesmaximal, characteristic, complemented
9#19147063C211yesmaximal, characteristic, complemented
10#19146798C211yesmaximal, characteristic, complemented
11#19146731C211yesmaximal, characteristic, complemented
12#19146722C211yesmaximal, characteristic, complemented
13#19146602C211yesmaximal, characteristic, complemented
14#19146551C211yesmaximal, characteristic, complemented
15#19146208C211yesmaximal, characteristic, complemented
16#19146136C211yesmaximal, characteristic, complemented
17#19146128C211yesmaximal, characteristic, complemented
18#19145285C211yesmaximal, characteristic, complemented
19#19145240C211yesmaximal, characteristic, complemented
20#19145185C211yesmaximal, characteristic, complemented
21#19144879C211yesmaximal, characteristic, complemented
22#19144836C211yesmaximal, characteristic, complemented
23#19144789C211yesmaximal, characteristic, complemented
24#19144787C211yesmaximal, characteristic, complemented
25#19144697C211yesmaximal, characteristic, complemented
26#19144683C211yesmaximal, characteristic, complemented
27#19143581C211yesmaximal, characteristic, complemented
28#19143474C211yesmaximal, characteristic, complemented
29#19143422C211yesmaximal, characteristic, complemented
30#19143408C211yesmaximal, characteristic, complemented
31C43×#3332C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C2×#13063345C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583625C2211yescharacteristic, complemented
37#14583610C2211yescharacteristic
38#14583597C2211yescharacteristic
39#14583596—21no—
40#14583596C2211yescharacteristic
41#14583595—21no—
42#14583595C2211yescharacteristic, complemented
43#14583594—21no—
44#14583584C2211yescharacteristic
45#14583576—21no—
46#14583572—21no—
47#14583569—21no—
48#14583569C2211yescharacteristic, complemented
49#14583568C2211yescharacteristic
50#14583568C2211yescharacteristic, complemented
51#14583549—21no—
52#14583549C2211yescharacteristic, complemented
53#14583546C2211yescharacteristic
54#14583545C2211yescharacteristic
55#14583537—21no—
56#14583533C2211yescharacteristic
57#14583523C2211yescharacteristic
58#14583503—21no—
59#14583503C2211yescharacteristic, complemented
60#14583502—21no—
61#14583502C2211yescharacteristic
62#14583502C2211yescharacteristic, complemented
63#14583495—21no—
64#14583485—21no—
65#14583444—21no—
66#14583444C2211yescharacteristic, complemented
67#14583430C2211yescharacteristic
68#14583429—21no—
69#14583429C2211yescharacteristic
70#14583406—21no—
71#123×D43—21no—
72#14583382C2211yescharacteristic, complemented
73#14583381C2211yescharacteristic, complemented
74#14583380C2211yescharacteristic
75#14583371C2211yescharacteristic
76#41×Dic43C2211yescharacteristic, complemented
77C2×#13063287C2211yescharacteristic
78#14583306C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583299C2211yescharacteristic, complemented
81#14583287C2211yescharacteristic, complemented
82#14583286C2211yescharacteristic, complemented
83#14583274C2211yescharacteristic
84#14583262C2211yescharacteristic
85#14583262C2211yescharacteristic, complemented
86#14583262C2211yescharacteristic, complemented
87#14583257C2211yescharacteristic, complemented
88#14583254C2211yescharacteristic, complemented
89#14583241C2211yescharacteristic, complemented
90#14583231C2211yescharacteristic, complemented
91#14583222C2211yescharacteristic, complemented
92#14583221C2211yescharacteristic, complemented
93#14583220C2211yescharacteristic
94#14583219C2211yescharacteristic
95#14583217C2211yescharacteristic, complemented
96#14583215C2211yescharacteristic, complemented
97#14583213C2211yescharacteristic, complemented
98#14583212C2211yescharacteristic, complemented
99#14583209C2211yescharacteristic, complemented
100#14583208C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583200C2211yescharacteristic
103#14583199C2211yescharacteristic, complemented
104#14583198C2211yescharacteristic
105#14583197C2211yescharacteristic, complemented
106#14583197C2211yescharacteristic, complemented
107#14583188C2211yescharacteristic
108#14583188C2211yescharacteristic, complemented
109#14583186C2211yescharacteristic, complemented
110#14583152C2211yescharacteristic, complemented
111#14583151C2211yescharacteristic
112#14583150C2211yescharacteristic
113#14583145C2211yescharacteristic, complemented
114#14583144C2211yescharacteristic, complemented
115#14583143C2211yescharacteristic, complemented
116#14583134C2211yescharacteristic
117#14583133C2211yescharacteristic, complemented
118#14583133C2211yescharacteristic, 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#14583029C2211yescharacteristic, complemented
142#14583028C2211yescharacteristic, complemented
143#14583011C2211yescharacteristic, complemented
144#14583010C2211yescharacteristic
145#14583010C2211yescharacteristic, complemented
146#14583009C2211yescharacteristic, complemented
147#14583008C2211yescharacteristic
148#14583008C2211yescharacteristic
149#14583008C2211yescharacteristic
150#14583008C2211yescharacteristic, complemented
151#14583008C2211yescharacteristic, complemented
152#14583003C2211yescharacteristic, complemented
153#14583003C2211yescharacteristic, complemented
154#14583002C2211yescharacteristic
155#14583002C2211yescharacteristic, complemented
156#14583000C2211yescharacteristic, complemented
157#14582997C2211yescharacteristic
158#14582996C2211yescharacteristic, complemented
159#14582990C2211yescharacteristic, complemented
160#14582990C2211yescharacteristic, complemented
161#14582986C2211yescharacteristic, complemented
162#14582984C2211yescharacteristic
163#14582984C2211yescharacteristic
164#14582984C2211yescharacteristic, complemented
165C4×D344C2211yescharacteristic
166D8×Dic43C2211yescharacteristic, complemented
167#14582979C2211yescharacteristic
168#14582979C2211yescharacteristic, complemented
169#14582979C2211yescharacteristic, complemented
170#14582974C2211yescharacteristic
171#14582971C2211yescharacteristic, complemented
172#14582968C2211yescharacteristic
173#14582968C2211yescharacteristic, complemented
174#14582967C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582939C2211yescharacteristic, complemented
179#14582938C2211yescharacteristic, complemented
180C2×#13063256C2211yescharacteristic, complemented
181#14582905C2211yescharacteristic
182#14582901C2211yescharacteristic
183#14582894C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582857C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C43×#550C2211yescharacteristic, complemented
189C43×#547C2211yescharacteristic
190C43×#486C2211yescharacteristic, complemented
191C43×#481C2211yescharacteristic, complemented
192C43×#481C2211yescharacteristic, complemented
193C43×#475C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic
195C43×#469C2211yescharacteristic, complemented
196C43×#459C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic
198C43×#449C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic, complemented
201C43×#417C2211yescharacteristic, complemented
202C43×#417C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C2×#10621900—21no—
207C2×#10621900—21no—
208C22×D172C2311yescharacteristic
209C2×D4×D43—21no—
210C2×D4×D43C2311yescharacteristic
211C22×C4×D43—21no—
212#13063352—24no—
213#13063350—24no—
214#13063345—24no—
215C2×#10621885C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×D344C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621877C2311yescharacteristic
229C2×#10621872C2311yescharacteristic
230C22×C43⋊C8C2311yescharacteristic
231C2×C8×D43C2311yescharacteristic
232#13063324—21no—
233#13063324C2311yescharacteristic
234#13063321—21no—
235#13063321—21no—
236#13063321C2311yescharacteristic
237#13063321C2311yescharacteristic
238#13063321C2311yescharacteristic
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320D411yescharacteristic
244#13063318—21no—
245#13063318—21no—
246#13063318D411yescharacteristic
247#13063317—21no—
248#13063317C2311yescharacteristic
249#13063316—21no—
250#13063316C2311yescharacteristic
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063315—21no—
254#13063315D411yescharacteristic
255#13063314—21no—
256#13063313C2311yescharacteristic
257#13063312C2311yescharacteristic
258#13063311—21no—
259#13063311—21no—
260#13063311D411yescharacteristic
261#13063310—21no—
262#13063310—21no—
263#13063310—21no—
264#13063309—21no—
265#13063309—21no—
266#13063309D411yescharacteristic
267#13063308—21no—
268#13063308—21no—
269#13063307—21no—
270#13063307—21no—
271#13063307—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063306—21no—
276#13063306—21no—
277#13063306—21no—
278#13063306—21no—
279#13063306—21no—
280#13063306D411yescharacteristic
281#13063305—21no—
282#13063305C2311yescharacteristic
283#13063304C2311yescharacteristic
284#13063302—21no—
285#13063302D411yescharacteristic
286#13063301—21no—
287#13063301—21no—
288#13063301—21no—
289#13063300C2311yescharacteristic
290#13063299—21no—
291#13063299—21no—
292#13063299—21no—
293#13063299C2311yescharacteristic
294#13063299C2311yescharacteristic
295#13063299C2311yescharacteristic
296#13063298—21no—
297#13063298—21no—
298#13063297—21no—
299#13063297—21no—
300#13063297—21no—
301#13063297—21no—
302#13063297—21no—
303#13063297—21no—
304#13063297—21no—
305#13063297—21no—
306#13063297D411yescharacteristic
307#13063296—21no—
308#13063296—21no—
309#13063296—21no—
310#13063296—21no—
311#13063296—21no—
312#13063296—21no—
313#13063296—21no—
314#13063296C2311yescharacteristic
315#13063296C2311yescharacteristic
316#13063295—21no—
317#13063293—21no—
318#13063293—21no—
319#13063293—21no—
320Q8×Dic43C2311yescharacteristic
321Q8×Dic43C2311yescharacteristic
322Q8×Dic43C2311yescharacteristic
323C4×Dic86—21no—
324C4×Dic86C2311yescharacteristic
325#13063290C2311yescharacteristic
326#13063290C2311yescharacteristic
327C4×D172—21no—
328C4×D172C2311yescharacteristic
329C4×D172C2311yescharacteristic
330D4×Dic43—21no—
331D4×Dic43—21no—
332D4×Dic43—21no—
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340#13063287—21no—
341#13063287—21no—
342#13063287—21no—
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349C4×C22⋊D43—21no—
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#13063284C2311yescharacteristic
366#13063284C2311yescharacteristic
367#13063283—21no—
368#13063283C2311yescharacteristic
369#13063282—21no—
370#13063282C2311yescharacteristic
371#13063281—21no—
372C2×C4⋊Dic43—21no—
373C2×C4⋊Dic43C2311yescharacteristic
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43C2311yescharacteristic
378C2×(C2×D43)⋊C4—21no—
379C2×(C2×D43)⋊C4—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C2×C4×Dic43—21no—
384C2×C4×Dic43C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
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
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43—21no—
439C2×#41×C43C2311yescharacteristic
440C2×#41×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×M16×C43C2311yescharacteristic
445C2×M16×C43C2311yescharacteristic
446C4⋊Q8×C43C2311yescharacteristic
447#127×C43—21no—
448#127×C43C2311yescharacteristic
449#123×C43—21no—
450#123×C43—21no—
451C22⋊Q8×C43—21no—
452#121×C43—21no—
453#121×C43—21no—
454#121×C43C2311yescharacteristic
455#121×C43C2311yescharacteristic
456#121×C43C2311yescharacteristic
457#121×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×D4×C43—21no—
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C2×C4⋊C4×C43C2311yescharacteristic
463C2×C4⋊C4×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465#106×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—
487#41×C43—82no—
488C2×Q8×C43—21no—
489C2×Q8×C43C2411yescharacteristic
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×C43—21no—
498C2×D4×C43C2×D411yescharacteristic
499C2×D4×C43C2411yescharacteristic
500C2×D4×C43C2411yescharacteristic
501C2×D4×C43C2411yescharacteristic
502C22×C4×C43—21no—
503C22×C4×C43—21no—
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43C2411yescharacteristic
508C22×C4×C43C2411yescharacteristic
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⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43C2×D411yescharacteristic
523C2×C22⋊D43C2×D411yescharacteristic
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43—21no—
528C22×Dic43—21no—
529C22×Dic43—21no—
530C22×Dic43C2×D411yescharacteristic
531C22×Dic43C2×D411yescharacteristic
532#10621902—22no—
533#10621902—41no—
534#10621900—82no—
535#10621900—82no—
536#10621900—82no—
537D4×D43—22no—
538D4×D43—41no—
539D4×D43—82no—
540#10621898—22no—
541#10621898—41no—
542C2×D172—21no—
543C2×D172—21no—
544C2×D172—21no—
545C2×D172—22no—
546C2×D172—41no—
547C2×D172C2411yescharacteristic
548C2×D172C2411yescharacteristic
549C2×D172C2411yescharacteristic
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×D43—21no—
561C2×C4×D43—82no—
562C2×C4×D43C2411yescharacteristic
563C2×Dic86—21no—
564C2×Dic86C2×D411yescharacteristic
565C2×Dic86C2411yescharacteristic
566SD16×C43—22no—
567D8×C43—41no—
568D8×C43—41no—
569M16×C43—41no—
570M16×C43—41no—
571C2×C8×C43C2411yescharacteristic
572C2×C8×C43C2411yescharacteristic
573C2×C8×C43C2411yescharacteristic
574C2×C8×C43C2411yescharacteristic
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43—21no—
579C4⋊C4×C43C2×D411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C4⋊C4×C43C2411yescharacteristic
582C4⋊C4×C43C2411yescharacteristic
583C4⋊C4×C43C2411yescharacteristic
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×C43C2411yescharacteristic
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
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⋊Dic43C2×D411yescharacteristic
605C22⋊Dic43C2×D411yescharacteristic
606C22⋊Dic43C2×D411yescharacteristic
607C22⋊Dic43C2×D411yescharacteristic
608#10621885—22no—
609#10621884—22no—
610#10621884#4114yescomplemented
611#10621883—22no—
612#10621883—41no—
613#10621882—22no—
614#10621882—22no—
615#10621882—22no—
616#10621882—22no—
617#10621882—41no—
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)⋊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)⋊C4C2×D411yescharacteristic
635(C2×D43)⋊C4C2×D411yescharacteristic
636(C2×D43)⋊C4C2×D411yescharacteristic
637(C2×D43)⋊C4C2×D411yescharacteristic
638C4⋊Dic43—21no—
639C4⋊Dic43—21no—
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—42no—
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—42no—
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—42no—
737C2×C4×C43—81no—
738C2×C4×C43—81no—
739C2×C4×C43C22×D411yescharacteristic
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C2511yescharacteristic
744C22⋊D43—41no—
745C22⋊D43—41no—
746C22⋊D43—42no—
747C22⋊D43—42no—
748C22⋊D43—42no—
749C22⋊D43—81no—
750C22⋊D43—81no—
751C22⋊D43—81no—
752C22⋊D43—81no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—41no—
765C2×Dic43—41no—
766C2×Dic43—42no—
767C2×Dic43—81no—
768C2×Dic43—81no—
769C2×Dic43—81no—
770C2×Dic43—81no—
771C2×Dic43—81no—
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776C2×Dic43C22×D411yescharacteristic
777C2×Dic43C22×D411yescharacteristic
778C2×Dic43C22×D411yescharacteristic
779D172—21no—
780D172—21no—
781D172—21no—
782D172—21no—
783D172—21no—
784D172—42no—
785D172—42no—
786D172—81no—
787D172C2×#4112yes—
788C4×D43—21no—
789C4×D43—21no—
790C4×D43—42no—
791C4×D43—42no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801Dic86—21no—
802Dic86—21no—
803Dic86—41no—
804Dic86—42no—
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#61507—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—21no—
832C2×D43—22no—
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—84no—
843C2×D43—162no—
844C4×C43—21no—
845C4×C43—21no—
846C4×C43—21no—
847C4×C43—22no—
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—21no—
862Dic43—41no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867#3517—431no—
868#3513—431no—
869#3399—431no—
870#3388—431no—
871#3371—431no—
872#3366—431no—
873#3351—431no—
874#3345—431no—
875#3345—431no—
876#3332D4311yescharacteristic, complemented
877#3322—431no—
878#3318—431no—
879#3317—431no—
880#3309—431no—
881#3306—431no—
882#3274—431no—
883#3268—431no—
884#3268—431no—
885#3179—431no—
886#3176—431no—
887#3171—431no—
888#3125—431no—
889#3122—431no—
890#3119—431no—
891#3119—431no—
892#3111—431no—
893#3109—431no—
894#2967—431no—
895#2952—431no—
896#2946—431no—
897C4×AGL(1,ℤ/8)—431no—
898C2×C43—41no—
899C2×C43—41no—
900C2×C43—81no—
901C2×C43—81no—
902C2×C43—81no—
903C2×C43D4×#4111yescharacteristic
904C2×C43#358511yescharacteristic
905C2×C43#358511yescharacteristic
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#554—431no—
916#553—431no—
917#553—431no—
918#553—431no—
919#553—861no—
920#553—861no—
921#553—861no—
922#552—431no—
923#551—861no—
924#551—861no—
925#550—431no—
926#550—431no—
927#550—431no—
928#550—861no—
929#550C2×D4311yescharacteristic, complemented
930#547—431no—
931#547—861no—
932#547C2×D4311yescharacteristic
933#546—431no—
934#546—431no—
935#546—861no—
936D42—431no—
937#542—431no—
938#540—431no—
939#540—431no—
940#540—431no—
941#540—861no—
942#540—861no—
943#539—861no—
944#538—861no—
945#532—431no—
946#532—861no—
947#529—431no—
948#529—431no—
949#529—861no—
950#525—861no—
951C2×#123—861no—
952#520—431no—
953#520—431no—
954#520—431no—
955#518—431no—
956C4×#41—431no—
957C2×C4×D4—431no—
958#501—431no—
959#501—431no—
960#499—431no—
961#496—431no—
962#496—431no—
963#493—431no—
964#490—431no—
965#490—431no—
966#490—431no—
967#489—431no—
968#488—431no—
969#486C2×D4311yescharacteristic, complemented
970#485—431no—
971#483—431no—
972#482—431no—
973#482—431no—
974#482—431no—
975#481—431no—
976#481—431no—
977#481—431no—
978#481C2×D4311yescharacteristic, complemented
979#481C2×D4311yescharacteristic, complemented
980#480—431no—
981#480—431no—
982#479—431no—
983#479—431no—
984#479—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#476—431no—
991#476—431no—
992#476—431no—
993#475C2×D4311yescharacteristic, complemented
994#469—431no—
995#469—431no—
996#469—431no—
997#469C2×D4311yescharacteristic
998#469C2×D4311yescharacteristic, complemented
999#468—431no—
1000#468—431no—
1001#468—431no—
1002#466—431no—
1003#466—431no—
1004#466—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—
1031#446—431no—
1032#442—431no—
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442—431no—
1041#441—431no—
1042#441—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048C4×SD16—431no—
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16C2×D4311yescharacteristic, complemented
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060#436—431no—
1061#436C2×D4311yescharacteristic, complemented
1062#435—431no—
1063#435—431no—
1064#435—431no—
1065#435—431no—
1066#433—431no—
1067#433—431no—
1068#432—431no—
1069#428—431no—
1070#428—431no—
1071C2×#106—431no—
1072#418—431no—
1073#417—431no—
1074#417C2×D4311yescharacteristic, complemented
1075#417C2×D4311yescharacteristic, complemented
1076#416—431no—
1077C2×#102—431no—
1078#405—431no—
1079#405—431no—
1080C4×M16—431no—
1081C43#6150711yescharacteristic, complemented, Sylow
1082C2×#41—21no—
1083C2×#41—431no—
1084C2×#41—431no—
1085C2×#41—861no—
1086C2×#41—861no—
1087C2×#41—861no—
1088C2×#41C22×D4311yescharacteristic
1089C2×#41C22×D4311yescharacteristic
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—861no—
1093C23×C4—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—
1115C2×M16C22×D4311yescharacteristic
1116C2×M16C22×D4311yescharacteristic
1117C22×C8—431no—
1118C22×C8—431no—
1119C4⋊Q8—431no—
1120C4⋊Q8—861no—
1121C4⋊Q8C22×D4311yescharacteristic
1122#127—21no—
1123#127—431no—
1124#127—431no—
1125#127—431no—
1126#127—861no—
1127#127—861no—
1128#127C22×D4311yescharacteristic
1129#126—431no—
1130#126—431no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#125—431no—
1138#125—431no—
1139#125—431no—
1140#125—431no—
1141#125—431no—
1142#125—861no—
1143#125—861no—
1144#125—861no—
1145#124—431no—
1146#124—431no—
1147#124—431no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#123—21no—
1152#123—21no—
1153#123—431no—
1154#123—431no—
1155#123—861no—
1156#123—861no—
1157#123—861no—
1158#123—861no—
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—21no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—431no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182#121—21no—
1183#121—21no—
1184#121—431no—
1185#121—431no—
1186#121—431no—
1187#121—431no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—861no—
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×Q8C22×D4311yescharacteristic
1227C4×D4—21no—
1228C4×D4—431no—
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—861no—
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—431no—
1266#117—431no—
1267#117—431no—
1268#117—431no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117—861no—
1275C2×C4⋊C4—431no—
1276C2×C4⋊C4—431no—
1277C2×C4⋊C4—861no—
1278C2×C4⋊C4—861no—
1279C2×C4⋊C4—861no—
1280C2×C4⋊C4—861no—
1281C2×C4⋊C4C22×D4311yescharacteristic
1282C2×C4⋊C4C22×D4311yescharacteristic
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C42—431no—
1289C2×C42—861no—
1290#107—431no—
1291#107—431no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#106—431no—
1297#106—431no—
1298#106—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106C22×D4311yescharacteristic
1304#106C22×D4311yescharacteristic
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—
1354#97—431no—
1355#97—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—82no—
1367#41—862no—
1368#41—862no—
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×Q8C23×D4311yescharacteristic
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—431no—
1388C2×D4—431no—
1389C2×D4—431no—
1390C2×D4—431no—
1391C2×D4—431no—
1392C2×D4—862no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—862no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—3442no—
1411C2×D4—1721no—
1412C2×D4—1721no—
1413C2×D4D4×D4311yescharacteristic
1414C2×D4C23×D4311yescharacteristic
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—431no—
1423C22×C4—431no—
1424C22×C4—431no—
1425C22×C4—861no—
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—3442no—
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—41no—
1462M16—41no—
1463M16—862no—
1464M16—862no—
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—21no—
1478C4⋊C4—21no—
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—431no—
1491C4⋊C4—431no—
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⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4D4×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C4⋊C4C23×D4311yescharacteristic
1513C4⋊C4C23×D4311yescharacteristic
1514C4⋊C4C23×D4311yescharacteristic
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—431no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—431no—
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⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4D4×D4311yescharacteristic
1556C22⋊C4D4×D4311yescharacteristic
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—1722no—
1582C23—1722no—
1583C23—1722no—
1584C23C2×D4×D4311yescharacteristic
1585C23C2×D4×D4311yescharacteristic
1586Q8—21no—
1587Q8—81no—
1588Q8—861no—
1589Q8—861no—
1590Q8—1721no—
1591Q8—1722no—
1592Q8#41×D4312yes—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—41no—
1600D4—42no—
1601D4—42no—
1602D4—42no—
1603D4—81no—
1604D4—81no—
1605D4—81no—
1606D4—81no—
1607D4—81no—
1608D4—432no—
1609D4—861no—
1610D4—861no—
1611D4—861no—
1612D4—861no—
1613D4—861no—
1614D4—3441no—
1615D4—3441no—
1616D4—3441no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—1722no—
1626D4—1722no—
1627D4—1721no—
1628D4—1721no—
1629D4—1722no—
1630D4—1722no—
1631D4—1722no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—42no—
1642C2×C4—42no—
1643C2×C4—42no—
1644C2×C4—81no—
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—861no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—3441no—
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—1721no—
1677C2×C4—1721no—
1678C2×C4—1722no—
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—862no—
1709C22—861no—
1710C22—861no—
1711C22—3444no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—6882no—
1721C22C22×D4×D4311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—22no—
1725C4—21no—
1726C4—21no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—861no—
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#1914937111yescharacteristic
1756C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3332C2
socleC22×C43C23×D4
hypercenter#3332D43
hypocenterC43#61507
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3332

Complements

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

NH ≅ G/Ntype
1. #19148592C2semidirect
2. #19148530C2semidirect
3. #19147640C2semidirect
4. #19147547C2semidirect
5. #19147359C2semidirect
6. #19147307C2semidirect
7. #19147159C2semidirect
8. #19147065C2semidirect
9. #19147063C2semidirect
10. #19146798C2semidirect
11. #19146731C2semidirect
12. #19146722C2semidirect
13. #19146602C2semidirect
14. #19146551C2semidirect
15. #19146208C2semidirect
16. #19146136C2semidirect
17. #19146128C2semidirect
18. #19145285C2semidirect
19. #19145240C2semidirect
20. #19145185C2semidirect
21. #19144879C2semidirect
22. #19144836C2semidirect
23. #19144789C2semidirect
24. #19144787C2semidirect
25. #19144697C2semidirect
26. #19144683C2semidirect
27. #19143581C2semidirect
28. #19143474C2semidirect
29. #19143422C2semidirect
30. #19143408C2semidirect
31. C43×#3332C2semidirect
36. #14583625C22semidirect
42. #14583595C22semidirect
48. #14583569C22semidirect
50. #14583568C22semidirect
52. #14583549C22semidirect
59. #14583503C22semidirect
62. #14583502C22semidirect
66. #14583444C22semidirect
72. #14583382C22semidirect
73. #14583381C22semidirect
76. #41×Dic43C22semidirect
78. #14583306C22semidirect
79. #14583305C22semidirect
80. #14583299C22semidirect
81. #14583287C22semidirect
82. #14583286C22semidirect
85. #14583262C22semidirect
86. #14583262C22semidirect
87. #14583257C22semidirect
88. #14583254C22semidirect
89. #14583241C22semidirect
90. #14583231C22semidirect
91. #14583222C22semidirect
92. #14583221C22semidirect
95. #14583217C22semidirect
96. #14583215C22semidirect
97. #14583213C22semidirect
98. #14583212C22semidirect
99. #14583209C22semidirect
100. #14583208C22semidirect
101. #14583204C22semidirect
103. #14583199C22semidirect
105. #14583197C22semidirect
106. #14583197C22semidirect
108. #14583188C22semidirect
109. #14583186C22semidirect
110. #14583152C22semidirect
113. #14583145C22semidirect
114. #14583144C22semidirect
115. #14583143C22semidirect
117. #14583133C22semidirect
118. #14583133C22semidirect
119. #14583127C22semidirect
120. #14583121C22semidirect
121. #14583119C22semidirect
122. #14583115C22semidirect
123. #14583112C22semidirect
124. #14583098C22semidirect
128. #14583093C22semidirect
131. #14583064C22semidirect
132. #14583061C22semidirect
135. #14583044C22semidirect
141. #14583029C22semidirect
142. #14583028C22semidirect
143. #14583011C22semidirect
145. #14583010C22semidirect
146. #14583009C22semidirect
150. #14583008C22semidirect
151. #14583008C22semidirect
152. #14583003C22semidirect
153. #14583003C22semidirect
155. #14583002C22semidirect
156. #14583000C22semidirect
158. #14582996C22semidirect
159. #14582990C22semidirect
160. #14582990C22semidirect
161. #14582986C22semidirect
164. #14582984C22semidirect
166. D8×Dic43C22semidirect
168. #14582979C22semidirect
169. #14582979C22semidirect
171. #14582971C22semidirect
173. #14582968C22semidirect
174. #14582967C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582939C22semidirect
179. #14582938C22semidirect
180. C2×#13063256C22semidirect
183. #14582894C22semidirect
185. #14582857C22semidirect
186. #14582853C22semidirect
187. M16×Dic43C22semidirect
188. C43×#550C22semidirect
190. C43×#486C22semidirect
191. C43×#481C22semidirect
192. C43×#481C22semidirect
193. C43×#475C22semidirect
195. C43×#469C22semidirect
196. C43×#459C22semidirect
198. C43×#449C22semidirect
199. C4×SD16×C43C22semidirect
200. C43×#436C22semidirect
201. C43×#417C22semidirect
202. C43×#417C22semidirect
610. #10621884#41semidirect
876. #3332D43semidirect
929. #550C2×D43semidirect
969. #486C2×D43semidirect
978. #481C2×D43semidirect
979. #481C2×D43semidirect
993. #475C2×D43semidirect
998. #469C2×D43semidirect
1017. #459C2×D43semidirect
1025. #449C2×D43semidirect
1054. C4×SD16C2×D43semidirect
1061. #436C2×D43semidirect
1074. #417C2×D43semidirect
1075. #417C2×D43semidirect
1081. C43#61507semidirect

Maximal subgroups

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

subgroupindex
#191485922
#191485302
#191476402
#191475472
#191473592
#191473072
#191471592
#191470652
#191470632
#191467982
#191467312
#191467222
#191466022
#191465512
#191462082
#191461362
#191461282
#191452852
#191452402
#191451852
#191448792
#191448362
#191447892
#191447872
#191446972
#191446832
#191435812
#191434742
#191434222
#191434082
C43×#33322
#6150743