Finite Group Databasebeta

← #25979722

Subgroups — #25979722

Order 11008.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148697C211yesmaximal, characteristic, complemented
2#19148630C211yesmaximal, characteristic, complemented
3#19147632C211yesmaximal, characteristic, complemented
4#19147547C211yesmaximal, characteristic, complemented
5#19147347C211yesmaximal, characteristic, complemented
6#19147325C211yesmaximal, characteristic, complemented
7#19147153C211yesmaximal, characteristic, complemented
8#19147095C211yesmaximal, characteristic, complemented
9#19147093C211yesmaximal, characteristic, complemented
10#19146844C211yesmaximal, characteristic, complemented
11#19146832C211yesmaximal, characteristic, complemented
12#19146738C211yesmaximal, characteristic, complemented
13#19146622C211yesmaximal, characteristic, complemented
14#19146597C211yesmaximal, characteristic, complemented
15#19146208C211yesmaximal, characteristic, complemented
16#19146091C211yesmaximal, characteristic, complemented
17#19146083C211yesmaximal, characteristic, complemented
18#19145273C211yesmaximal, characteristic, complemented
19#19145240C211yesmaximal, characteristic, complemented
20#19145193C211yesmaximal, characteristic, complemented
21#19144880C211yesmaximal, characteristic, complemented
22#19144834C211yesmaximal, characteristic, complemented
23#19144795C211yesmaximal, characteristic, complemented
24#19144782C211yesmaximal, characteristic, complemented
25#19144749C211yesmaximal, characteristic, complemented
26#19144732C211yesmaximal, characteristic, complemented
27#19143577C211yesmaximal, characteristic, complemented
28#19143450C211yesmaximal, characteristic, complemented
29#19143430C211yesmaximal, characteristic, complemented
30#19143400C211yesmaximal, characteristic, complemented
31C43×#3321C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C22×#10621884C2211yescharacteristic
35#14583631—21no—
36#14583631C2211yescharacteristic, complemented
37#14583625C2211yescharacteristic, complemented
38#14583613—21no—
39#14583613C2211yescharacteristic, complemented
40#14583610C2211yescharacteristic
41#14583595—21no—
42#14583595C2211yescharacteristic, complemented
43#14583593—21no—
44#14583593C2211yescharacteristic
45#14583593C2211yescharacteristic
46#14583591—21no—
47#14583591C2211yescharacteristic, complemented
48#14583570C2211yescharacteristic
49#14583568C2211yescharacteristic, complemented
50#14583560C2211yescharacteristic, complemented
51#14583546—21no—
52#14583542—21no—
53#14583542—21no—
54D4×D172C2211yescharacteristic
55#14583533C2211yescharacteristic
56#14583533C2211yescharacteristic
57#14583522—21no—
58#14583522C2211yescharacteristic, complemented
59#14583502—21no—
60#14583502C2211yescharacteristic
61#14583502C2211yescharacteristic
62#14583502C2211yescharacteristic, complemented
63#14583483—21no—
64#14583483—21no—
65#14583450C2211yescharacteristic
66#14583431—21no—
67#14583431C2211yescharacteristic
68#14583428—21no—
69#14583428C2211yescharacteristic, complemented
70#14583411—21no—
71#121×D43—21no—
72#14583382C2211yescharacteristic, complemented
73#14583377C2211yescharacteristic, complemented
74#14583373C2211yescharacteristic
75#14583373C2211yescharacteristic
76C4×#10621902C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic
78#14583306C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583299C2211yescharacteristic, complemented
81#14583289C2211yescharacteristic, complemented
82#14583285C2211yescharacteristic, complemented
83#14583274C2211yescharacteristic, complemented
84#14583264C2211yescharacteristic, complemented
85#14583262C2211yescharacteristic, complemented
86#14583262C2211yescharacteristic, complemented
87#14583255C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583228C2211yescharacteristic, complemented
90#14583225C2211yescharacteristic, complemented
91#14583225C2211yescharacteristic, complemented
92#14583224C2211yescharacteristic, complemented
93#14583223C2211yescharacteristic, complemented
94#14583223C2211yescharacteristic, complemented
95#14583220C2211yescharacteristic, complemented
96#14583218C2211yescharacteristic, complemented
97#14583211C2211yescharacteristic, complemented
98#14583210C2211yescharacteristic, complemented
99#14583208C2211yescharacteristic, complemented
100#14583204C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583202C2211yescharacteristic, complemented
103#14583201C2211yescharacteristic, complemented
104#14583200C2211yescharacteristic
105#14583199C2211yescharacteristic, complemented
106#14583198C2211yescharacteristic
107#14583188C2211yescharacteristic
108#14583178C2211yescharacteristic, complemented
109#14583176C2211yescharacteristic, complemented
110#14583152C2211yescharacteristic, complemented
111#14583151C2211yescharacteristic, complemented
112#14583151C2211yescharacteristic, complemented
113#14583150C2211yescharacteristic, complemented
114#14583148C2211yescharacteristic, complemented
115#14583148C2211yescharacteristic, complemented
116#14583147C2211yescharacteristic, complemented
117#14583135C2211yescharacteristic, complemented
118#14583133C2211yescharacteristic, complemented
119#14583133C2211yescharacteristic, complemented
120#14583117C2211yescharacteristic
121#14583117C2211yescharacteristic, complemented
122#14583111C2211yescharacteristic
123#14583099C2211yescharacteristic, complemented
124#14583097C2211yescharacteristic, complemented
125#14583097C2211yescharacteristic, complemented
126#14583097C2211yescharacteristic, complemented
127#14583095C2211yescharacteristic, complemented
128#14583093C2211yescharacteristic
129#14583093C2211yescharacteristic, complemented
130#14583092C2211yescharacteristic, complemented
131#14583049C2211yescharacteristic
132#14583048C2211yescharacteristic
133#14583047C2211yescharacteristic, complemented
134#14583047C2211yescharacteristic, complemented
135#14583044C2211yescharacteristic, complemented
136#14583038C2211yescharacteristic, complemented
137#14583035C2211yescharacteristic
138#14583035C2211yescharacteristic
139#14583032C2211yescharacteristic
140#14583031C2211yescharacteristic
141#14583028C2211yescharacteristic, complemented
142#14583027C2211yescharacteristic, complemented
143#14583012C2211yescharacteristic
144#14583011C2211yescharacteristic, complemented
145#14583010C2211yescharacteristic, complemented
146#14583010C2211yescharacteristic, complemented
147#14583009C2211yescharacteristic, complemented
148#14583008C2211yescharacteristic
149#14583008C2211yescharacteristic, complemented
150#14583002C2211yescharacteristic
151#14583002C2211yescharacteristic
152#14583002C2211yescharacteristic
153#14583002C2211yescharacteristic, complemented
154#14583002C2211yescharacteristic, complemented
155#14583002C2211yescharacteristic, complemented
156#14583000C2211yescharacteristic, complemented
157#14582997C2211yescharacteristic
158SD16×Dic43C2211yescharacteristic, complemented
159#14582984C2211yescharacteristic
160#14582984C2211yescharacteristic
161#14582984C2211yescharacteristic, complemented
162#14582984C2211yescharacteristic, complemented
163#14582984C2211yescharacteristic, complemented
164#14582984C2211yescharacteristic, complemented
165#14582981C2211yescharacteristic
166#14582979C2211yescharacteristic
167#14582979C2211yescharacteristic, complemented
168#14582979C2211yescharacteristic, complemented
169#14582979C2211yescharacteristic, complemented
170#14582975C2211yescharacteristic, complemented
171#14582974C2211yescharacteristic, complemented
172#14582971C2211yescharacteristic, complemented
173#14582970C2211yescharacteristic, complemented
174#14582967C2211yescharacteristic, complemented
175#14582957C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582955C2211yescharacteristic, complemented
178#14582942C2211yescharacteristic, complemented
179#14582940C2211yescharacteristic, complemented
180#14582935C2211yescharacteristic, complemented
181#14582905C2211yescharacteristic
182#14582902C2211yescharacteristic
183#14582899C2211yescharacteristic, complemented
184C2×#13063247C2211yescharacteristic
185#14582857C2211yescharacteristic, complemented
186#14582854C2211yescharacteristic, complemented
187#14582851C2211yescharacteristic, complemented
188C43×#555C2211yescharacteristic
189C43×#548C2211yescharacteristic, complemented
190C43×#489C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#475C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#465C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic, complemented
198C43×#448C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#419C2211yescharacteristic, complemented
202C43×#416C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C22×D172C2311yescharacteristic
207C22×D172C2311yescharacteristic
208C2×D4×D43—21no—
209C2×D4×D43—21no—
210C2×D4×D43—21no—
211C2×D4×D43C2311yescharacteristic
212C22×C4×D43—21no—
213#13063352—24no—
214#13063350—24no—
215C2×#10621884—24no—
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621877C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C22×C43⋊C8C2311yescharacteristic
233#13063324—21no—
234#13063324C2311yescharacteristic
235#13063322C2311yescharacteristic
236#13063321—21no—
237#13063321C2311yescharacteristic
238#13063321C2311yescharacteristic
239#13063321C2311yescharacteristic
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063319—21no—
244#13063319—21no—
245#13063318—21no—
246#13063318D411yescharacteristic
247#13063318D411yescharacteristic
248#13063317—21no—
249#13063317C2311yescharacteristic
250#13063316—21no—
251#13063316—21no—
252#13063316D411yescharacteristic
253#13063316C2311yescharacteristic
254#13063316C2311yescharacteristic
255#13063316C2311yescharacteristic
256#13063314—21no—
257#13063314—21no—
258#13063314C2311yescharacteristic
259#13063312—21no—
260#13063312D411yescharacteristic
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063309—21no—
265#13063309—21no—
266#13063309—21no—
267#13063309—21no—
268#13063309—21no—
269#13063307—21no—
270#13063307—21no—
271#13063307—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307D411yescharacteristic
279#13063307D411yescharacteristic
280#13063305—21no—
281#13063305—21no—
282#13063305D411yescharacteristic
283#13063301—21no—
284#13063301—21no—
285#13063301—21no—
286#13063301C2311yescharacteristic
287#13063300—21no—
288#13063300—21no—
289#13063300C2311yescharacteristic
290#13063300C2311yescharacteristic
291#13063299—21no—
292#13063299—21no—
293#13063299—21no—
294#13063299C2311yescharacteristic
295#13063299C2311yescharacteristic
296#13063299C2311yescharacteristic
297#13063299C2311yescharacteristic
298#13063298—21no—
299#13063298—21no—
300#13063298—21no—
301#13063298—21no—
302#13063298—21no—
303#13063298—21no—
304#13063297—21no—
305#13063297—21no—
306#13063297—21no—
307#13063297—21no—
308#13063297—21no—
309#13063296—21no—
310#13063296—21no—
311#13063296—21no—
312#13063296—21no—
313#13063296D411yescharacteristic
314#13063296C2311yescharacteristic
315#13063295—21no—
316#13063295—21no—
317#13063295—21no—
318#13063295—21no—
319#13063293—21no—
320#13063293—21no—
321Q8×Dic43—21no—
322Q8×Dic43—21no—
323Q8×Dic43C2311yescharacteristic
324Q8×Dic43C2311yescharacteristic
325Q8×Dic43C2311yescharacteristic
326Q8×Dic43C2311yescharacteristic
327Q8×Dic43C2311yescharacteristic
328C4×Dic86—21no—
329C4×Dic86C2311yescharacteristic
330C4×D172—21no—
331C4×D172—21no—
332C4×D172—21no—
333C4×D172—21no—
334C4×D172—21no—
335C4×D172—21no—
336C4×D172—21no—
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339D4×Dic43—21no—
340D4×Dic43—21no—
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343D4×Dic43C2311yescharacteristic
344#13063287—21no—
345#13063287—21no—
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
352#13063287C2311yescharacteristic
353#13063287C2311yescharacteristic
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43C2311yescharacteristic
358C4×C22⋊D43C2311yescharacteristic
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#13063284—21no—
366#13063284C2311yescharacteristic
367#13063284C2311yescharacteristic
368#13063284C2311yescharacteristic
369#13063283—21no—
370#13063283C2311yescharacteristic
371#13063281—21no—
372#13063281—21no—
373#13063281—21no—
374C2×C4⋊Dic43—21no—
375C2×C4⋊Dic43C2311yescharacteristic
376C4⋊C4×D43—21no—
377C4⋊C4×D43C2311yescharacteristic
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C42×D43—21no—
384C42×D43C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
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
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C22×Q8×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×M16×C43C2311yescharacteristic
444C22×C8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#124×C43—21no—
447#124×C43—21no—
448#124×C43—21no—
449#124×C43C2311yescharacteristic
450C22⋊Q8×C43—21no—
451C22⋊Q8×C43C2311yescharacteristic
452#121×C43—21no—
453#121×C43—21no—
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#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C23×D43—21no—
484#41×C43—22no—
485#41×C43—41no—
486C2×Q8×C43—21no—
487C2×Q8×C43—21no—
488C2×Q8×C43—22no—
489C2×Q8×C43—41no—
490C2×Q8×C43C2411yescharacteristic
491C2×Q8×C43C2411yescharacteristic
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43C2×D411yescharacteristic
497C2×D4×C43C2411yescharacteristic
498C2×D4×C43C2411yescharacteristic
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43—21no—
502C22×C4×C43C2411yescharacteristic
503C22×C4×C43C2411yescharacteristic
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43C2×D411yescharacteristic
517C2×C22⋊D43C2×D411yescharacteristic
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522#10621902—22no—
523#10621902—41no—
524#10621902—82no—
525D4×D43—22no—
526D4×D43—41no—
527D4×D43—82no—
528D4×D43—82no—
529D4×D43—82no—
530#10621898—82no—
531C2×D172—21no—
532C2×D172—21no—
533C2×D172—21no—
534C2×D172—21no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—22no—
539C2×D172—22no—
540C2×D172—41no—
541C2×D172—41no—
542C2×D172C2411yescharacteristic
543C2×D172C2411yescharacteristic
544C2×D172C2411yescharacteristic
545C2×D172C2411yescharacteristic
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
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—82no—
559C2×C4×D43C2×D411yescharacteristic
560C2×C4×D43C2×D411yescharacteristic
561C2×C4×D43C2411yescharacteristic
562C2×Dic86—21no—
563C2×Dic86C2×D411yescharacteristic
564SD16×C43—22no—
565SD16×C43—41no—
566D8×C43—41no—
567M16×C43—41no—
568C2×C8×C43—41no—
569C2×C8×C43C2411yescharacteristic
570C2×C8×C43C2411yescharacteristic
571C2×C8×C43C2411yescharacteristic
572C2×C8×C43C2411yescharacteristic
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43C2×D411yescharacteristic
577C4⋊C4×C43C2411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C4⋊C4×C43C2411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C22⋊C4×C43—21no—
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×C43—21no—
590C22⋊C4×C43C2×D411yescharacteristic
591C22⋊C4×C43C2×D411yescharacteristic
592C42×C43—21no—
593C42×C43—21no—
594C42×C43—21no—
595C42×C43C2411yescharacteristic
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43C2×D411yescharacteristic
602C22⋊Dic43C2×D411yescharacteristic
603C22⋊Dic43C2×D411yescharacteristic
604C22⋊Dic43C2×D411yescharacteristic
605C22⋊Dic43C2×D411yescharacteristic
606C22⋊Dic43C2×D411yescharacteristic
607#10621884—22no—
608#10621884—22no—
609#10621884—22no—
610#10621884—22no—
611#10621884—41no—
612#10621884#4114yescomplemented
613#10621882—22no—
614#10621882—22no—
615#10621882—22no—
616#10621882—41no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊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)⋊C4—21no—
637(C2×D43)⋊C4C2×D411yescharacteristic
638(C2×D43)⋊C4C2×D411yescharacteristic
639C4⋊Dic43—21no—
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43C2×D411yescharacteristic
649C4⋊Dic43C2×D411yescharacteristic
650C4⋊Dic43C2×D411yescharacteristic
651C4⋊Dic43C2×D411yescharacteristic
652C4⋊Dic43C2×D411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654C4⋊Dic43C2411yescharacteristic
655C4⋊Dic43C2411yescharacteristic
656C4⋊Dic43C2411yescharacteristic
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
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—
689D344—41no—
690#10621872—22no—
691#10621872—41no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43C22×D411yescharacteristic
695C23×C43C22×D411yescharacteristic
696C22×D43—21no—
697C22×D43—21no—
698C22×D43—21no—
699C22×D43—21no—
700C22×D43—42no—
701C22×D43—42no—
702C22×D43—42no—
703C22×D43—42no—
704C22×D43—81no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43—81no—
708C22×D43—81no—
709C22×D43C22×D411yescharacteristic
710Q8×C43—21no—
711Q8×C43—21no—
712Q8×C43—21no—
713Q8×C43—42no—
714Q8×C43—81no—
715Q8×C43C2×#4112yes—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—21no—
719D4×C43—21no—
720D4×C43—41no—
721D4×C43—42no—
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—21no—
735C2×C4×C43—42no—
736C2×C4×C43—42no—
737C2×C4×C43—42no—
738C2×C4×C43C22×D411yescharacteristic
739C2×C4×C43C22×D411yescharacteristic
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C2511yescharacteristic
743C22⋊D43—41no—
744C22⋊D43—41no—
745C22⋊D43—42no—
746C22⋊D43—81no—
747C22⋊D43—81no—
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—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—81no—
762C2×Dic43—81no—
763C2×Dic43—81no—
764C2×Dic43—81no—
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767C2×Dic43C22×D411yescharacteristic
768C2×Dic43C22×D411yescharacteristic
769C2×Dic43C22×D411yescharacteristic
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772D172—21no—
773D172—21no—
774D172—21no—
775D172—21no—
776D172—21no—
777D172—21no—
778D172—21no—
779D172—42no—
780D172—42no—
781D172—42no—
782D172—42no—
783D172—42no—
784D172—42no—
785D172—81no—
786D172C2×#4112yes—
787C4×D43—21no—
788C4×D43—21no—
789C4×D43—41no—
790C4×D43—41no—
791C4×D43—42no—
792C4×D43—42no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802C4×D43—81no—
803Dic86—41no—
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#61504—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×C43C23×D411yescharacteristic
827C2×D43—21no—
828C2×D43—21no—
829C2×D43—22no—
830C2×D43—21no—
831C2×D43—41no—
832C2×D43—41no—
833C2×D43—41no—
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—
844C2×D43—162no—
845C4×C43—21no—
846C4×C43—21no—
847C4×C43—22no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855C4×C43C22×#4111yescharacteristic
856C4×C43#58511yescharacteristic
857Dic43—21no—
858Dic43—21no—
859Dic43—21no—
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
863Dic43—21no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868#3524—431no—
869#3519—431no—
870#3399—431no—
871#3388—431no—
872#3370—431no—
873#3368—431no—
874#3351—431no—
875#3347—431no—
876#3347—431no—
877#3326—431no—
878#3325—431no—
879#3321D4311yescharacteristic, complemented
880#3318—431no—
881#3310—431no—
882#3309—431no—
883#3274—431no—
884#3265—431no—
885#3265—431no—
886#3179—431no—
887#3176—431no—
888#3171—431no—
889#3126—431no—
890#3122—431no—
891#3119—431no—
892#3118—431no—
893#3115—431no—
894#3114—431no—
895#2967—431no—
896#2949—431no—
897#2946—431no—
898C4×AGL(1,ℤ/8)—431no—
899C2×C43—41no—
900C2×C43—41no—
901C2×C43—81no—
902C2×C43—81no—
903C2×C43D4×#4111yescharacteristic
904C2×C43#358511yescharacteristic
905C2×C43#358511yescharacteristic
906D43—41no—
907D43—42no—
908D43—81no—
909D43—81no—
910D43—81no—
911C2×AGL(1,ℤ/8)—431no—
912C2×AGL(1,ℤ/8)—431no—
913C22×SD16—431no—
914#559—431no—
915#559—861no—
916#557—431no—
917#555—431no—
918#555—861no—
919#555C2×D4311yescharacteristic
920#554—431no—
921#553—431no—
922#553—431no—
923#553—431no—
924#553—861no—
925#553—861no—
926#552—431no—
927#552—861no—
928#550—431no—
929#550—431no—
930#548—431no—
931#548C2×D4311yescharacteristic, complemented
932#546—861no—
933#546—861no—
934#546—861no—
935D42—431no—
936D42—431no—
937D42—431no—
938#542—431no—
939#542—861no—
940#540—431no—
941#540—431no—
942#540—431no—
943#540—861no—
944#538—861no—
945#538—861no—
946#532—431no—
947#529—431no—
948#529—431no—
949#529—861no—
950#529—861no—
951#525—861no—
952C2×#121—861no—
953#520—431no—
954#519—431no—
955#518—431no—
956#518—431no—
957C4×#41—431no—
958C2×C4×D4—431no—
959#501—431no—
960#501—431no—
961#499—431no—
962#496—431no—
963#496—431no—
964#493—431no—
965#490—431no—
966#490—431no—
967#490—431no—
968#489C2×D4311yescharacteristic, complemented
969#488—431no—
970#486—431no—
971#485C2×D4311yescharacteristic, complemented
972#483—431no—
973#482—431no—
974#482—431no—
975#482—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482C2×D4311yescharacteristic, complemented
980#481—431no—
981#480—431no—
982#480—431no—
983#479—431no—
984#479—431no—
985#479—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#478—431no—
991#476—431no—
992#475C2×D4311yescharacteristic, complemented
993#474—431no—
994#474—431no—
995#469—431no—
996#469—431no—
997#469—431no—
998#469—431no—
999#469C2×D4311yescharacteristic, complemented
1000#468—431no—
1001#468—431no—
1002#468—431no—
1003#466—431no—
1004#466—431no—
1005#466—431no—
1006#465C2×D4311yescharacteristic, complemented
1007#463—431no—
1008#463—431no—
1009#463—431no—
1010#463C2×D4311yescharacteristic, complemented
1011#460—431no—
1012#460—431no—
1013#460—431no—
1014#460—431no—
1015#459—431no—
1016#459—431no—
1017#459—431no—
1018#459—431no—
1019#450—431no—
1020#450—431no—
1021#449—431no—
1022#449—431no—
1023#449—431no—
1024#449C2×D4311yescharacteristic, complemented
1025#448—431no—
1026#448C2×D4311yescharacteristic, complemented
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#447—431no—
1031#446—431no—
1032#446—431no—
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#440—431no—
1041#440—431no—
1042#440—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440C2×D4311yescharacteristic, complemented
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061#436—431no—
1062#436—431no—
1063#435—431no—
1064#435—431no—
1065#435—431no—
1066#435C2×D4311yescharacteristic, complemented
1067#433—431no—
1068#433—431no—
1069#432—431no—
1070#428—431no—
1071#428—431no—
1072#427—431no—
1073#419C2×D4311yescharacteristic, complemented
1074#418—431no—
1075#418—431no—
1076#417—431no—
1077#416C2×D4311yescharacteristic, complemented
1078C2×#102—431no—
1079#405—431no—
1080#405—431no—
1081C4×M16—431no—
1082C43#6150411yescharacteristic, complemented, Sylow
1083C2×#41—431no—
1084C2×#41—861no—
1085C2×#41—861no—
1086C2×#41C22×D4311yescharacteristic
1087C22×Q8C22×D4311yescharacteristic
1088C22×D4—431no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—861no—
1092C22×D4—861no—
1093C22×D4—861no—
1094C23×C4—861no—
1095AGL(1,ℤ/8)—864no—
1096AGL(1,ℤ/8)—864no—
1097C2×SD16—431no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—864no—
1104C2×SD16C22×D4311yescharacteristic
1105C2×SD16C22×D4311yescharacteristic
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—431no—
1113C2×D8C22×D4311yescharacteristic
1114C2×M16—431no—
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16C22×D4311yescharacteristic
1118C22×C8—431no—
1119C22×C8C22×D4311yescharacteristic
1120C4⋊Q8—431no—
1121C4⋊Q8—861no—
1122C4⋊Q8C22×D4311yescharacteristic
1123#127—431no—
1124#127—431no—
1125#127—431no—
1126#127—431no—
1127#127—861no—
1128#126—431no—
1129#126—431no—
1130#126—861no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#125—431no—
1137#125—431no—
1138#125—431no—
1139#125—431no—
1140#125—431no—
1141#125—861no—
1142#125—861no—
1143#125—861no—
1144#124—21no—
1145#124—21no—
1146#124—21no—
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#124C22×D4311yescharacteristic
1156#123—431no—
1157#123—431no—
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—
1172C22⋊Q8—21no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8C22×D4311yescharacteristic
1181#121—21no—
1182#121—21no—
1183#121—431no—
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#120—861no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—431no—
1226C4×Q8—861no—
1227C4×Q8—861no—
1228C4×Q8—861no—
1229C4×Q8C22×D4311yescharacteristic
1230C4×D4—21no—
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—431no—
1245C4×D4—431no—
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×D4—861no—
1264C4×D4C22×D4311yescharacteristic
1265C4×D4C22×D4311yescharacteristic
1266#117—21no—
1267#117—431no—
1268#117—431no—
1269#117—431no—
1270#117—431no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117—861no—
1275#117—861no—
1276#117—861no—
1277#117—861no—
1278#117C22×D4311yescharacteristic
1279#117C22×D4311yescharacteristic
1280C2×C4⋊C4—431no—
1281C2×C4⋊C4—431no—
1282C2×C4⋊C4—861no—
1283C2×C4⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C42—431no—
1290C2×C42—861no—
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#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106C22×D4311yescharacteristic
1306#106C22×D4311yescharacteristic
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312C4⋊C8C22×D4311yescharacteristic
1313#103—431no—
1314#103—431no—
1315#103C22×D4311yescharacteristic
1316#103C22×D4311yescharacteristic
1317#103C22×D4311yescharacteristic
1318#103C22×D4311yescharacteristic
1319#103C22×D4311yescharacteristic
1320#103C22×D4311yescharacteristic
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#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344#102C22×D4311yescharacteristic
1345C22⋊C8—431no—
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8C22×D4311yescharacteristic
1350C22⋊C8C22×D4311yescharacteristic
1351#97—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97—431no—
1356#97C22×D4311yescharacteristic
1357C4×C8—431no—
1358C4×C8—431no—
1359C4×C8—431no—
1360C4×C8—431no—
1361C24—861no—
1362C24—861no—
1363C24—861no—
1364#41—22no—
1365#41—41no—
1366#41—862no—
1367#41—3442no—
1368#41—3442no—
1369#41—1721no—
1370C2×Q8—21no—
1371C2×Q8—21no—
1372C2×Q8—22no—
1373C2×Q8—41no—
1374C2×Q8—431no—
1375C2×Q8—861no—
1376C2×Q8C23×D4311yescharacteristic
1377C2×Q8C23×D4311yescharacteristic
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—431no—
1383C2×D4—431no—
1384C2×D4—431no—
1385C2×D4—431no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—862no—
1389C2×D4—862no—
1390C2×D4—861no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—862no—
1401C2×D4—861no—
1402C2×D4—861no—
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—3442no—
1412C2×D4—3442no—
1413C2×D4—1721no—
1414C2×D4—1721no—
1415C2×D4—1721no—
1416C2×D4D4×D4311yescharacteristic
1417C2×D4C23×D4311yescharacteristic
1418C2×D4C23×D4311yescharacteristic
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—3442no—
1442C22×C4C23×D4311yescharacteristic
1443C22×C4C23×D4311yescharacteristic
1444SD16—22no—
1445SD16—41no—
1446SD16—434no—
1447SD16—862no—
1448SD16—862no—
1449SD16—862no—
1450SD16—862no—
1451SD16—1721no—
1452D8—41no—
1453D8—862no—
1454D8—862no—
1455D8—862no—
1456D8—862no—
1457D8—1721no—
1458D8—1721no—
1459D8—1721no—
1460M16—41no—
1461M16—862no—
1462M16—862no—
1463M16—1721no—
1464C2×C8—41no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—431no—
1469C2×C8—862no—
1470C2×C8C23×D4311yescharacteristic
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C2×C8C23×D4311yescharacteristic
1474C4⋊C4—21no—
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⋊C4—861no—
1507C4⋊C4D4×D4311yescharacteristic
1508C4⋊C4C23×D4311yescharacteristic
1509C4⋊C4C23×D4311yescharacteristic
1510C4⋊C4C23×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—431no—
1528C22⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1555C22⋊C4D4×D4311yescharacteristic
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42—431no—
1560C42—431no—
1561C42—431no—
1562C42—431no—
1563C42—431no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42—861no—
1571C42C23×D4311yescharacteristic
1572C23—21no—
1573C23—21no—
1574C23—431no—
1575C23—861no—
1576C23—861no—
1577C23—861no—
1578C23—861no—
1579C23—3441no—
1580C23—3441no—
1581C23—3441no—
1582C23—3441no—
1583C23—3441no—
1584C23—1722no—
1585C23—1722no—
1586C23—1722no—
1587C23—1722no—
1588C23C2×D4×D4311yescharacteristic
1589C23C2×D4×D4311yescharacteristic
1590Q8—21no—
1591Q8—21no—
1592Q8—21no—
1593Q8—42no—
1594Q8—81no—
1595Q8—3441no—
1596Q8—1721no—
1597Q8#41×D4312yes—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—41no—
1603D4—42no—
1604D4—81no—
1605D4—81no—
1606D4—81no—
1607D4—432no—
1608D4—861no—
1609D4—861no—
1610D4—861no—
1611D4—861no—
1612D4—861no—
1613D4—861no—
1614D4—861no—
1615D4—3441no—
1616D4—3441no—
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—1722no—
1632D4—1722no—
1633D4—1721no—
1634D4—1721no—
1635D4—1722no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—42no—
1647C2×C4—42no—
1648C2×C4—42no—
1649C2×C4—431no—
1650C2×C4—431no—
1651C2×C4—431no—
1652C2×C4—431no—
1653C2×C4—431no—
1654C2×C4—431no—
1655C2×C4—431no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
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—3441no—
1675C2×C4—3441no—
1676C2×C4—1721no—
1677C2×C4—1721no—
1678C2×C4—1722no—
1679C2×C4—1722no—
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C2×D4×D4311yescharacteristic
1684C2×C4C24×D4311yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—432no—
1690C8—861no—
1691C8—861no—
1692C8—861no—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—861no—
1706C22—862no—
1707C22—861no—
1708C22—861no—
1709C22—3444no—
1710C22—1721no—
1711C22—1721no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—6882no—
1722C22—6882no—
1723C22C22×D4×D4311yescharacteristic
1724C4—21no—
1725C4—21no—
1726C4—22no—
1727C4—21no—
1728C4—21no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—861no—
1735C4—861no—
1736C4—861no—
1737C4—861no—
1738C4—861no—
1739C4—861no—
1740C4—861no—
1741C4—1721no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4C2×#41×D4311yescharacteristic
1746C4#1458373411yescharacteristic
1747C2—41no—
1748C2—41no—
1749C2—81no—
1750C2—81no—
1751C2—3441no—
1752C2—3441no—
1753C2—3441no—
1754C2—1721no—
1755C2—1722no—
1756C2#1914807911yescharacteristic
1757C2#1914937211yescharacteristic
1758C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3321C2
socleC22×C43C23×D4
hypercenter#3321D43
hypocenterC43#61504
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3321

Complements

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

NH ≅ G/Ntype
1. #19148697C2semidirect
2. #19148630C2semidirect
3. #19147632C2semidirect
4. #19147547C2semidirect
5. #19147347C2semidirect
6. #19147325C2semidirect
7. #19147153C2semidirect
8. #19147095C2semidirect
9. #19147093C2semidirect
10. #19146844C2semidirect
11. #19146832C2semidirect
12. #19146738C2semidirect
13. #19146622C2semidirect
14. #19146597C2semidirect
15. #19146208C2semidirect
16. #19146091C2semidirect
17. #19146083C2semidirect
18. #19145273C2semidirect
19. #19145240C2semidirect
20. #19145193C2semidirect
21. #19144880C2semidirect
22. #19144834C2semidirect
23. #19144795C2semidirect
24. #19144782C2semidirect
25. #19144749C2semidirect
26. #19144732C2semidirect
27. #19143577C2semidirect
28. #19143450C2semidirect
29. #19143430C2semidirect
30. #19143400C2semidirect
31. C43×#3321C2semidirect
36. #14583631C22semidirect
37. #14583625C22semidirect
39. #14583613C22semidirect
42. #14583595C22semidirect
47. #14583591C22semidirect
49. #14583568C22semidirect
50. #14583560C22semidirect
58. #14583522C22semidirect
62. #14583502C22semidirect
69. #14583428C22semidirect
72. #14583382C22semidirect
73. #14583377C22semidirect
76. C4×#10621902C22semidirect
78. #14583306C22semidirect
79. #14583305C22semidirect
80. #14583299C22semidirect
81. #14583289C22semidirect
82. #14583285C22semidirect
83. #14583274C22semidirect
84. #14583264C22semidirect
85. #14583262C22semidirect
86. #14583262C22semidirect
87. #14583255C22semidirect
88. #14583244C22semidirect
89. #14583228C22semidirect
90. #14583225C22semidirect
91. #14583225C22semidirect
92. #14583224C22semidirect
93. #14583223C22semidirect
94. #14583223C22semidirect
95. #14583220C22semidirect
96. #14583218C22semidirect
97. #14583211C22semidirect
98. #14583210C22semidirect
99. #14583208C22semidirect
100. #14583204C22semidirect
101. #14583204C22semidirect
102. #14583202C22semidirect
103. #14583201C22semidirect
105. #14583199C22semidirect
108. #14583178C22semidirect
109. #14583176C22semidirect
110. #14583152C22semidirect
111. #14583151C22semidirect
112. #14583151C22semidirect
113. #14583150C22semidirect
114. #14583148C22semidirect
115. #14583148C22semidirect
116. #14583147C22semidirect
117. #14583135C22semidirect
118. #14583133C22semidirect
119. #14583133C22semidirect
121. #14583117C22semidirect
123. #14583099C22semidirect
124. #14583097C22semidirect
125. #14583097C22semidirect
126. #14583097C22semidirect
127. #14583095C22semidirect
129. #14583093C22semidirect
130. #14583092C22semidirect
133. #14583047C22semidirect
134. #14583047C22semidirect
135. #14583044C22semidirect
136. #14583038C22semidirect
141. #14583028C22semidirect
142. #14583027C22semidirect
144. #14583011C22semidirect
145. #14583010C22semidirect
146. #14583010C22semidirect
147. #14583009C22semidirect
149. #14583008C22semidirect
153. #14583002C22semidirect
154. #14583002C22semidirect
155. #14583002C22semidirect
156. #14583000C22semidirect
158. SD16×Dic43C22semidirect
161. #14582984C22semidirect
162. #14582984C22semidirect
163. #14582984C22semidirect
164. #14582984C22semidirect
167. #14582979C22semidirect
168. #14582979C22semidirect
169. #14582979C22semidirect
170. #14582975C22semidirect
171. #14582974C22semidirect
172. #14582971C22semidirect
173. #14582970C22semidirect
174. #14582967C22semidirect
175. #14582957C22semidirect
176. #14582957C22semidirect
177. #14582955C22semidirect
178. #14582942C22semidirect
179. #14582940C22semidirect
180. #14582935C22semidirect
183. #14582899C22semidirect
185. #14582857C22semidirect
186. #14582854C22semidirect
187. #14582851C22semidirect
189. C43×#548C22semidirect
190. C43×#489C22semidirect
191. C43×#485C22semidirect
192. C43×#482C22semidirect
193. C43×#475C22semidirect
194. C43×#469C22semidirect
195. C43×#465C22semidirect
196. C43×#463C22semidirect
197. C43×#449C22semidirect
198. C43×#448C22semidirect
199. C43×#440C22semidirect
200. C43×#435C22semidirect
201. C43×#419C22semidirect
202. C43×#416C22semidirect
612. #10621884#41semidirect
879. #3321D43semidirect
931. #548C2×D43semidirect
968. #489C2×D43semidirect
971. #485C2×D43semidirect
979. #482C2×D43semidirect
992. #475C2×D43semidirect
999. #469C2×D43semidirect
1006. #465C2×D43semidirect
1010. #463C2×D43semidirect
1024. #449C2×D43semidirect
1026. #448C2×D43semidirect
1048. #440C2×D43semidirect
1066. #435C2×D43semidirect
1073. #419C2×D43semidirect
1077. #416C2×D43semidirect
1082. C43#61504semidirect

Maximal subgroups

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

subgroupindex
#191486972
#191486302
#191476322
#191475472
#191473472
#191473252
#191471532
#191470952
#191470932
#191468442
#191468322
#191467382
#191466222
#191465972
#191462082
#191460912
#191460832
#191452732
#191452402
#191451932
#191448802
#191448342
#191447952
#191447822
#191447492
#191447322
#191435772
#191434502
#191434302
#191434002
C43×#33212
#6150443