Finite Group Databasebeta

← #25979839

Subgroups — #25979839

Order 11008.

1826 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148700C211yesmaximal, characteristic, complemented
2#19147661C211yesmaximal, characteristic, complemented
3#19147516C211yesmaximal, characteristic, complemented
4#19147431C211yesmaximal, characteristic, complemented
5#19147387C211yesmaximal, characteristic, complemented
6#19147221C211yesmaximal, characteristic, complemented
7#19147065C211yesmaximal, characteristic, complemented
8#19147044C211yesmaximal, characteristic, complemented
9#19146927C211yesmaximal, characteristic, complemented
10#19146811C211yesmaximal, characteristic, complemented
11#19146751C211yesmaximal, characteristic, complemented
12#19146700C211yesmaximal, characteristic, complemented
13#19146580C211yesmaximal, characteristic, complemented
14#19146571C211yesmaximal, characteristic, complemented
15#19146222C211yesmaximal, characteristic, complemented
16#19146146C211yesmaximal, characteristic, complemented
17#19146131C211yesmaximal, characteristic, complemented
18#19145272C211yesmaximal, characteristic, complemented
19#19145228C211yesmaximal, characteristic, complemented
20#19145195C211yesmaximal, characteristic, complemented
21#19144866C211yesmaximal, characteristic, complemented
22#19144857C211yesmaximal, characteristic, complemented
23#19144818C211yesmaximal, characteristic, complemented
24#19144794C211yesmaximal, characteristic, complemented
25#19144751C211yesmaximal, characteristic, complemented
26#19144733C211yesmaximal, characteristic, complemented
27#19143582C211yesmaximal, characteristic, complemented
28#19143476C211yesmaximal, characteristic, complemented
29#19143434C211yesmaximal, characteristic, complemented
30C4×#13063351C211yesmaximal, characteristic, complemented
31C43×#3520C211yesmaximal, characteristic, complemented
32C2×#13063355C2211yescharacteristic
33C2×#13063351C2211yescharacteristic
34C2×#13063345C2211yescharacteristic
35#14583634C2211yescharacteristic, complemented
36#14583633—21no—
37#14583627C2211yescharacteristic, complemented
38#14583614C2211yescharacteristic
39#14583611—21no—
40#14583595C2211yescharacteristic, complemented
41#14583594—21no—
42#14583589C2211yescharacteristic
43#14583581—21no—
44#14583570C2211yescharacteristic
45#14583558C2211yescharacteristic
46#14583558C2211yescharacteristic, complemented
47#14583520C2211yescharacteristic, complemented
48#14583519—21no—
49#14583504C2211yescharacteristic, complemented
50#14583499—21no—
51#14583433C2211yescharacteristic
52#14583432—21no—
53#14583432—21no—
54#14583379C2211yescharacteristic, complemented
55#14583376C2211yescharacteristic, complemented
56C4×#10621898C2211yescharacteristic
57#14583305C2211yescharacteristic, complemented
58#14583305C2211yescharacteristic, complemented
59#14583302C2211yescharacteristic, complemented
60#14583291C2211yescharacteristic, complemented
61#14583289C2211yescharacteristic
62#14583281C2211yescharacteristic
63#14583267C2211yescharacteristic, complemented
64#14583261C2211yescharacteristic, complemented
65#14583261C2211yescharacteristic, complemented
66#14583258C2211yescharacteristic
67#14583253C2211yescharacteristic
68#14583247C2211yescharacteristic, complemented
69#14583237C2211yescharacteristic
70#14583237C2211yescharacteristic
71#14583237C2211yescharacteristic, complemented
72#14583234C2211yescharacteristic, complemented
73#14583229C2211yescharacteristic
74#14583227C2211yescharacteristic, complemented
75#14583220C2211yescharacteristic
76#14583217C2211yescharacteristic, complemented
77#14583215C2211yescharacteristic
78#14583212C2211yescharacteristic
79#14583212C2211yescharacteristic, complemented
80#14583212C2211yescharacteristic, complemented
81#14583206C2211yescharacteristic, complemented
82#14583199C2211yescharacteristic
83#14583199C2211yescharacteristic
84#14583199C2211yescharacteristic
85#14583194C2211yescharacteristic, complemented
86#14583191C2211yescharacteristic, complemented
87#14583191C2211yescharacteristic, complemented
88#14583186C2211yescharacteristic, complemented
89#14583186C2211yescharacteristic, complemented
90#14583181C2211yescharacteristic, complemented
91#14583181C2211yescharacteristic, complemented
92#14583179C2211yescharacteristic
93#14583155C2211yescharacteristic
94#14583155C2211yescharacteristic
95#14583150C2211yescharacteristic
96#14583147C2211yescharacteristic
97#14583147C2211yescharacteristic
98#14583147C2211yescharacteristic, complemented
99#14583147C2211yescharacteristic, complemented
100#14583143C2211yescharacteristic
101#14583138C2211yescharacteristic, complemented
102#14583133C2211yescharacteristic
103#14583133C2211yescharacteristic
104#14583130C2211yescharacteristic, complemented
105#14583121C2211yescharacteristic, complemented
106#14583118C2211yescharacteristic
107#14583118C2211yescharacteristic
108#14583118C2211yescharacteristic
109#14583114C2211yescharacteristic
110#14583114C2211yescharacteristic
111#14583114C2211yescharacteristic
112#14583111C2211yescharacteristic
113#14583106C2211yescharacteristic, complemented
114#14583101C2211yescharacteristic, complemented
115#14583099C2211yescharacteristic, complemented
116#14583094C2211yescharacteristic
117#14583061C2211yescharacteristic
118#14583059C2211yescharacteristic
119#14583059C2211yescharacteristic
120#14583059C2211yescharacteristic, complemented
121#14583054C2211yescharacteristic, complemented
122#14583050C2211yescharacteristic
123#14583044C2211yescharacteristic
124#14583044C2211yescharacteristic
125#14583044C2211yescharacteristic
126#14583042C2211yescharacteristic
127#14583037C2211yescharacteristic
128#14583033C2211yescharacteristic
129#14583030C2211yescharacteristic, complemented
130#14583030C2211yescharacteristic, complemented
131#14583009C2211yescharacteristic
132#14583009C2211yescharacteristic
133#14583009C2211yescharacteristic
134#14583009C2211yescharacteristic
135#14583009C2211yescharacteristic
136#14583004C2211yescharacteristic, complemented
137#14583004C2211yescharacteristic, complemented
138#14583004C2211yescharacteristic, complemented
139#14583004C2211yescharacteristic, complemented
140#14582999C2211yescharacteristic
141#14582999C2211yescharacteristic
142#14582999C2211yescharacteristic
143#14582999C2211yescharacteristic
144#14582999C2211yescharacteristic
145#14582997C2211yescharacteristic, complemented
146#14582997C2211yescharacteristic, complemented
147C4×#10621885C2211yescharacteristic, complemented
148C4×#10621885C2211yescharacteristic, complemented
149C4×#10621885C2211yescharacteristic, complemented
150C4×#10621884C2211yescharacteristic, complemented
151C4×#10621884C2211yescharacteristic, complemented
152C4×#10621884C2211yescharacteristic, complemented
153C4×#10621883C2211yescharacteristic
154C4×#10621883C2211yescharacteristic
155C4×#10621883C2211yescharacteristic
156C4×#10621883C2211yescharacteristic
157C4×#10621882C2211yescharacteristic
158C4×#10621882C2211yescharacteristic
159#14582977C2211yescharacteristic
160#14582977C2211yescharacteristic
161#14582971C2211yescharacteristic
162#14582971C2211yescharacteristic
163#14582971C2211yescharacteristic, complemented
164#14582971C2211yescharacteristic, complemented
165#14582960C2211yescharacteristic, complemented
166#14582960C2211yescharacteristic, complemented
167#14582956C2211yescharacteristic
168#14582939C2211yescharacteristic
169#14582939C2211yescharacteristic, complemented
170C2×#13063256C2211yescharacteristic, complemented
171#14582904C2211yescharacteristic
172#14582900C2211yescharacteristic
173#14582898C2211yescharacteristic
174#14582898C2211yescharacteristic, complemented
175#14582895C2211yescharacteristic
176C2×#13063248C2211yescharacteristic, complemented
177#14582855C2211yescharacteristic, complemented
178#14582855C2211yescharacteristic, complemented
179C4×#10621877C2211yescharacteristic
180C43×#556C2211yescharacteristic
181C43×#554C2211yescharacteristic
182C43×#554C2211yescharacteristic
183C43×#552—21no—
184C43×#551—21no—
185C43×#551—21no—
186D4×Q8×C43C2211yescharacteristic
187C43×#548—21no—
188C43×#547C2211yescharacteristic
189C43×#547C2211yescharacteristic
190C43×#546C2211yescharacteristic
191C43×#546C2211yescharacteristic
192C43×#542C2211yescharacteristic
193C43×#542C2211yescharacteristic
194C43×#539—21no—
195C43×#539—21no—
196C43×#533C2211yescharacteristic
197C43×#529C2211yescharacteristic
198C43×#525—21no—
199C2×C22⋊Q8×C43—21no—
200C43×#520C2211yescharacteristic
201C43×#520C2211yescharacteristic
202C2×C4×D4×C43C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C22×Dic86C2311yescharacteristic
206#13063355—24no—
207#13063351—24no—
208#13063345—24no—
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621883C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621877C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621877C2311yescharacteristic
228C2×#10621877C2311yescharacteristic
229C22×C43⋊C8C2311yescharacteristic
230C22×C43⋊C8C2311yescharacteristic
231#13063325C2311yescharacteristic
232#13063323—21no—
233#13063322C2311yescharacteristic
234#13063321—21no—
235#13063320—21no—
236#13063320—21no—
237#13063319—21no—
238#13063318—21no—
239#13063317C2311yescharacteristic
240#13063317C2311yescharacteristic
241#13063315—21no—
242#13063315—21no—
243#13063315—21no—
244#13063314—21no—
245#13063313C2311yescharacteristic
246#13063313C2311yescharacteristic
247#13063311—21no—
248#13063311—21no—
249#13063311—21no—
250#13063311—21no—
251#13063311—21no—
252#13063310—21no—
253#13063310—21no—
254#13063310—21no—
255#13063310—21no—
256#13063308—21no—
257#13063307—21no—
258#13063307—21no—
259#13063306—21no—
260#13063304C2311yescharacteristic
261#13063304C2311yescharacteristic
262#13063303—21no—
263#13063303—21no—
264#13063303—21no—
265#13063299C2311yescharacteristic
266#13063299C2311yescharacteristic
267#13063299C2311yescharacteristic
268#13063299C2311yescharacteristic
269#13063298—21no—
270#13063298—21no—
271#13063298—21no—
272#13063298—21no—
273#13063297—21no—
274#13063297—21no—
275#13063297—21no—
276#13063296—21no—
277C4×Dic86C2311yescharacteristic
278C4×Dic86C2311yescharacteristic
279C4×Dic86C2311yescharacteristic
280C4×Dic86C2311yescharacteristic
281C4×Dic86C2311yescharacteristic
282C4×Dic86C2311yescharacteristic
283#13063290—21no—
284#13063290—21no—
285#13063290—21no—
286C4×D172C2311yescharacteristic
287C4×D172C2311yescharacteristic
288C4×D172C2311yescharacteristic
289C4×D172C2311yescharacteristic
290#13063287—21no—
291#13063287—21no—
292C4×C22⋊D43—21no—
293C4×C22⋊D43—21no—
294C4×C22⋊D43—21no—
295(C22⋊D43)⋊C4—21no—
296(C22⋊D43)⋊C4—21no—
297(C22⋊D43)⋊C4—21no—
298(C22⋊D43)⋊C4—21no—
299(C22⋊D43)⋊C4—21no—
300#13063284C2311yescharacteristic
301#13063284C2311yescharacteristic
302#13063283—21no—
303#13063283—21no—
304#13063282—21no—
305#13063282—21no—
306#13063281—21no—
307#13063281—21no—
308#13063281—21no—
309C2×C4⋊Dic43C2311yescharacteristic
310C4⋊C4×D43—21no—
311C42×D43—21no—
312#13063258C2311yescharacteristic
313#13063258C2311yescharacteristic
314#13063258C2311yescharacteristic
315#13063258C2311yescharacteristic
316#13063258C2311yescharacteristic
317#13063258C2311yescharacteristic
318#13063258C2311yescharacteristic
319#13063258C2311yescharacteristic
320#13063256C2311yescharacteristic
321#13063256C2311yescharacteristic
322#13063256C2311yescharacteristic
323#13063256C2311yescharacteristic
324#13063256C2311yescharacteristic
325#13063256C2311yescharacteristic
326#13063256C2311yescharacteristic
327#13063256C2311yescharacteristic
328C4⋊(C43⋊C8)C2311yescharacteristic
329C4⋊(C43⋊C8)C2311yescharacteristic
330C4⋊(C43⋊C8)C2311yescharacteristic
331C4⋊(C43⋊C8)C2311yescharacteristic
332C4⋊(C43⋊C8)C2311yescharacteristic
333C4⋊(C43⋊C8)C2311yescharacteristic
334#13063249C2311yescharacteristic
335#13063249C2311yescharacteristic
336#13063249C2311yescharacteristic
337#13063249C2311yescharacteristic
338#13063249C2311yescharacteristic
339#13063249C2311yescharacteristic
340#13063249C2311yescharacteristic
341#13063249C2311yescharacteristic
342#13063248C2311yescharacteristic
343#13063248C2311yescharacteristic
344#13063248C2311yescharacteristic
345#13063248C2311yescharacteristic
346#13063248C2311yescharacteristic
347#13063248C2311yescharacteristic
348#13063248C2311yescharacteristic
349#13063248C2311yescharacteristic
350#13063246C2311yescharacteristic
351#13063246C2311yescharacteristic
352#13063246C2311yescharacteristic
353#13063246C2311yescharacteristic
354#13063246C2311yescharacteristic
355#13063246C2311yescharacteristic
356#13063246C2311yescharacteristic
357#13063246C2311yescharacteristic
358#13063245C2311yescharacteristic
359#13063245C2311yescharacteristic
360#13063245C2311yescharacteristic
361#13063245C2311yescharacteristic
362#13063245C2311yescharacteristic
363#13063245C2311yescharacteristic
364#13063245C2311yescharacteristic
365#13063245C2311yescharacteristic
366C22⋊(C43⋊C8)C2311yescharacteristic
367C22⋊(C43⋊C8)C2311yescharacteristic
368C22⋊(C43⋊C8)C2311yescharacteristic
369C22⋊(C43⋊C8)C2311yescharacteristic
370C22⋊(C43⋊C8)C2311yescharacteristic
371C22⋊(C43⋊C8)C2311yescharacteristic
372#13063236C2311yescharacteristic
373#13063236C2311yescharacteristic
374#13063236C2311yescharacteristic
375#13063236C2311yescharacteristic
376#13063236C2311yescharacteristic
377#13063236C2311yescharacteristic
378C4×C43⋊C8C2311yescharacteristic
379C4×C43⋊C8C2311yescharacteristic
380C4×C43⋊C8C2311yescharacteristic
381C4×C43⋊C8C2311yescharacteristic
382C2×#41×C43—21no—
383C2×#41×C43C2311yescharacteristic
384C2×#41×C43C2311yescharacteristic
385C22×Q8×C43—21no—
386C22×D4×C43C2311yescharacteristic
387C23×C4×C43—21no—
388C4⋊Q8×C43C2311yescharacteristic
389C4⋊Q8×C43C2311yescharacteristic
390C4⋊Q8×C43C2311yescharacteristic
391C4⋊Q8×C43C2311yescharacteristic
392#126×C43—21no—
393#126×C43—21no—
394#126×C43—21no—
395#126×C43—21no—
396#126×C43D411yescharacteristic
397#126×C43D411yescharacteristic
398#125×C43—21no—
399#125×C43—21no—
400#125×C43—21no—
401#125×C43D411yescharacteristic
402#124×C43—21no—
403#124×C43—21no—
404#124×C43D411yescharacteristic
405#124×C43C2311yescharacteristic
406#124×C43C2311yescharacteristic
407#123×C43—21no—
408#123×C43—21no—
409#123×C43—21no—
410#123×C43—21no—
411#123×C43—21no—
412#123×C43—21no—
413#123×C43—21no—
414#123×C43—21no—
415#123×C43D411yescharacteristic
416#123×C43D411yescharacteristic
417C22⋊Q8×C43—21no—
418C22⋊Q8×C43—21no—
419C22⋊Q8×C43—21no—
420C22⋊Q8×C43—21no—
421C22⋊Q8×C43—21no—
422C22⋊Q8×C43—21no—
423C22⋊Q8×C43—21no—
424C22⋊Q8×C43—21no—
425C22⋊Q8×C43—21no—
426C22⋊Q8×C43—21no—
427C22⋊Q8×C43—21no—
428C22⋊Q8×C43—21no—
429C22⋊Q8×C43D411yescharacteristic
430C22⋊Q8×C43C2311yescharacteristic
431C22⋊Q8×C43C2311yescharacteristic
432C22⋊Q8×C43C2311yescharacteristic
433C22⋊Q8×C43C2311yescharacteristic
434#121×C43—21no—
435#121×C43—21no—
436#121×C43—21no—
437#121×C43D411yescharacteristic
438#121×C43C2311yescharacteristic
439#121×C43C2311yescharacteristic
440#120×C43—21no—
441#120×C43—21no—
442C4×Q8×C43—21no—
443C4×Q8×C43C2311yescharacteristic
444C4×Q8×C43C2311yescharacteristic
445C4×Q8×C43C2311yescharacteristic
446C4×Q8×C43C2311yescharacteristic
447C4×Q8×C43C2311yescharacteristic
448C4×D4×C43—21no—
449C4×D4×C43—21no—
450C4×D4×C43—21no—
451C4×D4×C43—21no—
452C4×D4×C43—21no—
453C4×D4×C43—21no—
454C4×D4×C43—21no—
455C4×D4×C43—21no—
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465#117×C43—21no—
466#117×C43—21no—
467#117×C43—21no—
468#117×C43—21no—
469#117×C43C2311yescharacteristic
470#117×C43C2311yescharacteristic
471C2×C4⋊C4×C43—21no—
472C2×C4⋊C4×C43—21no—
473C2×C4⋊C4×C43—21no—
474C2×C4⋊C4×C43C2311yescharacteristic
475C2×C4⋊C4×C43C2311yescharacteristic
476C2×C4⋊C4×C43C2311yescharacteristic
477C2×C22⋊C4×C43—21no—
478C2×C22⋊C4×C43—21no—
479C2×C22⋊C4×C43—21no—
480C2×C42×C43C2311yescharacteristic
481C24×C43—21no—
482#41×C43—22no—
483#41×C43—22no—
484#41×C43—41no—
485#41×C43—41no—
486#41×C43—82no—
487C2×Q8×C43—21no—
488C2×Q8×C43—21no—
489C2×Q8×C43—21no—
490C2×Q8×C43—82no—
491C2×Q8×C43C2×D411yescharacteristic
492C2×Q8×C43C2411yescharacteristic
493C2×Q8×C43C2411yescharacteristic
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—22no—
500C2×D4×C43—41no—
501C2×D4×C43C2×D411yescharacteristic
502C2×D4×C43C2×D411yescharacteristic
503C2×D4×C43C2×D411yescharacteristic
504C2×D4×C43C2411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43—21no—
510C22×C4×C43—21no—
511C22×C4×C43—21no—
512C22×C4×C43—21no—
513C22×C4×C43—21no—
514C22×C4×C43—21no—
515C22×C4×C43—21no—
516C22×C4×C43—21no—
517C22×C4×C43—82no—
518C22×C4×C43C2×D411yescharacteristic
519C22×C4×C43C2×D411yescharacteristic
520C22×C4×C43C2411yescharacteristic
521C22×C4×C43C2411yescharacteristic
522C22×C4×C43C2411yescharacteristic
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—21no—
529C22×Dic43—21no—
530C22×Dic43—21no—
531#10621898—22no—
532#10621898—22no—
533#10621898—41no—
534#10621898—41no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172C2411yescharacteristic
538C2×D172C2411yescharacteristic
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×Dic86—22no—
546C2×Dic86—21no—
547C2×Dic86—21no—
548C2×Dic86—41no—
549C2×Dic86C2411yescharacteristic
550C2×Dic86C2411yescharacteristic
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43C2×D411yescharacteristic
568C4⋊C4×C43C2×D411yescharacteristic
569C4⋊C4×C43C2×D411yescharacteristic
570C4⋊C4×C43C2×D411yescharacteristic
571C4⋊C4×C43C2×D411yescharacteristic
572C4⋊C4×C43C2×D411yescharacteristic
573C4⋊C4×C43C2×D411yescharacteristic
574C4⋊C4×C43C2×D411yescharacteristic
575C4⋊C4×C43C2×D411yescharacteristic
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×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C22⋊C4×C43—21no—
597C22⋊C4×C43C2×D411yescharacteristic
598C22⋊C4×C43C2×D411yescharacteristic
599C22⋊C4×C43C2×D411yescharacteristic
600C22⋊C4×C43C2×D411yescharacteristic
601C22⋊C4×C43C2×D411yescharacteristic
602C22⋊C4×C43C2×D411yescharacteristic
603C22⋊C4×C43C2×D411yescharacteristic
604C22⋊C4×C43C2×D411yescharacteristic
605C22⋊C4×C43C2×D411yescharacteristic
606C22⋊C4×C43C2×D411yescharacteristic
607C42×C43—21no—
608C42×C43—21no—
609C42×C43—21no—
610C42×C43—21no—
611C42×C43C2×D411yescharacteristic
612C42×C43C2×D411yescharacteristic
613C42×C43C2411yescharacteristic
614C42×C43C2411yescharacteristic
615C42×C43C2411yescharacteristic
616C42×C43C2411yescharacteristic
617C22⋊Dic43—21no—
618C22⋊Dic43—21no—
619C22⋊Dic43—21no—
620C22⋊Dic43—21no—
621#10621885—22no—
622#10621885—22no—
623#10621885—22no—
624#10621885—41no—
625#10621884—22no—
626#10621884—41no—
627#10621884—41no—
628#10621884—41no—
629#10621883—22no—
630#10621883—22no—
631#10621883—41no—
632#10621883#4114yescomplemented
633#10621882—22no—
634#10621882—22no—
635#10621882—22no—
636#10621882—41no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4—21no—
640(C2×D43)⋊C4—21no—
641(C2×D43)⋊C4—21no—
642(C2×D43)⋊C4—21no—
643(C2×D43)⋊C4—21no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4—21no—
648(C2×D43)⋊C4—21no—
649C4⋊Dic43—21no—
650C4⋊Dic43—21no—
651C4⋊Dic43C2411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675#10621877—22no—
676#10621877—22no—
677#10621877—41no—
678#10621877—41no—
679C2×C43⋊C8—22no—
680C2×C43⋊C8—41no—
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687C2×C43⋊C8C2411yescharacteristic
688C2×C43⋊C8C2411yescharacteristic
689C23×C43—21no—
690C23×C43—21no—
691C23×C43—42no—
692C23×C43—42no—
693C23×C43—81no—
694C23×C43C22×D411yescharacteristic
695C23×C43C22×D411yescharacteristic
696C23×C43C22×D411yescharacteristic
697C22×D43—21no—
698C22×D43—21no—
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—21no—
703Q8×C43—41no—
704Q8×C43—42no—
705Q8×C43—81no—
706Q8×C43—81no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—41no—
711D4×C43—41no—
712D4×C43—41no—
713D4×C43—42no—
714D4×C43—42no—
715D4×C43—42no—
716D4×C43—81no—
717D4×C43—81no—
718D4×C43C2×#4112yes—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
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—41no—
732C2×C4×C43—41no—
733C2×C4×C43—42no—
734C2×C4×C43—42no—
735C2×C4×C43—42no—
736C2×C4×C43—42no—
737C2×C4×C43—81no—
738C2×C4×C43—81no—
739C2×C4×C43—81no—
740C2×C4×C43—81no—
741C2×C4×C43—81no—
742C2×C4×C43—81no—
743C2×C4×C43—81no—
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C22×D411yescharacteristic
747C2×C4×C43C22×D411yescharacteristic
748C2×C4×C43C22×D411yescharacteristic
749C2×C4×C43C22×D411yescharacteristic
750C2×C4×C43C22×D411yescharacteristic
751C2×C4×C43C22×D411yescharacteristic
752C2×C4×C43C22×D411yescharacteristic
753C2×C4×C43C22×D411yescharacteristic
754C2×C4×C43C22×D411yescharacteristic
755C2×C4×C43C2511yescharacteristic
756C22⋊D43—42no—
757C22⋊D43—42no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C22⋊D43—81no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—42no—
769C2×Dic43—81no—
770D172—21no—
771D172—21no—
772D172—21no—
773D172—21no—
774D172—81no—
775D172—81no—
776C4×D43—42no—
777C4×D43—42no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782Dic86—21no—
783Dic86—21no—
784Dic86—21no—
785Dic86—42no—
786Dic86—81no—
787Dic86C2×#4112yes—
788C43⋊C8—21no—
789C43⋊C8—21no—
790C43⋊C8—21no—
791C43⋊C8—21no—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8C2×#4112yes—
796#61508—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—21no—
802C22×C43—21no—
803C22×C43—22no—
804C22×C43—21no—
805C22×C43—21no—
806C22×C43—21no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—84no—
813C22×C43C23×D411yescharacteristic
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C4×C43—21no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—21no—
826C4×C43—21no—
827C4×C43—21no—
828C4×C43—21no—
829C4×C43—21no—
830C4×C43—21no—
831C4×C43—41no—
832C4×C43—41no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43C22×#4111yescharacteristic
838C4×C43#58511yescharacteristic
839Dic43—22no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845#3524—431no—
846#3520D4311yescharacteristic, complemented
847#3401—431no—
848#3386—431no—
849#3377—431no—
850#3373—431no—
851#3357—431no—
852#3345—431no—
853#3344—431no—
854#3333—431no—
855#3323—431no—
856#3319—431no—
857#3316—431no—
858#3308—431no—
859#3307—431no—
860#3275—431no—
861#3269—431no—
862#3268—431no—
863#3179—431no—
864#3175—431no—
865#3172—431no—
866#3125—431no—
867#3124—431no—
868#3121—431no—
869#3119—431no—
870#3116—431no—
871#3114—431no—
872#2967—431no—
873#2952—431no—
874#2947—431no—
875C4×AGL(1,ℤ/8)—431no—
876C2×C43—41no—
877C2×C43—41no—
878C2×C43—41no—
879C2×C43—42no—
880C2×C43—81no—
881C2×C43D4×#4111yescharacteristic
882C2×C43#358511yescharacteristic
883C2×C43#358611yescharacteristic
884D43—81no—
885D43—81no—
886C2×#137—431no—
887C2×AGL(1,ℤ/8)—431no—
888C2×#135—431no—
889#559—431no—
890#559—861no—
891#557—431no—
892#556C2×D4311yescharacteristic
893#555—431no—
894#555—861no—
895#554C2×D4311yescharacteristic
896#554C2×D4311yescharacteristic
897#553—431no—
898#553—861no—
899#552—21no—
900#552—431no—
901#552—861no—
902#551—21no—
903#551—21no—
904#550—431no—
905D4×Q8C2×D4311yescharacteristic
906#548—21no—
907#548—431no—
908#548—431no—
909#547C2×D4311yescharacteristic
910#547C2×D4311yescharacteristic
911#546C2×D4311yescharacteristic
912#546C2×D4311yescharacteristic
913#542—431no—
914#542—861no—
915#542C2×D4311yescharacteristic
916#542C2×D4311yescharacteristic
917#540—431no—
918#540—861no—
919#539—21no—
920#539—21no—
921#533C2×D4311yescharacteristic
922#529—431no—
923#529—861no—
924#529—861no—
925#529C2×D4311yescharacteristic
926#525—21no—
927C2×C22⋊Q8—21no—
928#520—431no—
929#520C2×D4311yescharacteristic
930#520C2×D4311yescharacteristic
931#519—431no—
932C4×#41—431no—
933C2×C4×D4C2×D4311yescharacteristic
934#501—431no—
935#501—431no—
936#500—431no—
937#497—431no—
938#496—431no—
939#495—431no—
940#491—431no—
941#489—431no—
942#489—431no—
943#489—431no—
944#488—431no—
945#486—431no—
946#485—431no—
947#485—431no—
948#485—431no—
949#484—431no—
950#483—431no—
951#483—431no—
952#482—431no—
953#481—431no—
954#481—431no—
955#480—431no—
956#480—431no—
957#480—431no—
958#479—431no—
959#478—431no—
960#478—431no—
961#478—431no—
962#477—431no—
963#477—431no—
964#477—431no—
965#476—431no—
966#476—431no—
967#475—431no—
968#475—431no—
969#474—431no—
970#470—431no—
971#470—431no—
972#469—431no—
973#468—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#467—431no—
979#466—431no—
980#466—431no—
981#465—431no—
982#464—431no—
983#464—431no—
984#464—431no—
985#464—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#462—431no—
991#461—431no—
992#460—431no—
993#459—431no—
994#452—431no—
995#452—431no—
996#452—431no—
997#452—431no—
998#451—431no—
999#450—431no—
1000#449—431no—
1001#449—431no—
1002#449—431no—
1003#449—431no—
1004#448—431no—
1005#447—431no—
1006#446—431no—
1007#446—431no—
1008#442—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
1013#441—431no—
1014#441—431no—
1015#441—431no—
1016#441—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024C4×Q16—431no—
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×SD16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×D8—431no—
1035C4×D8—431no—
1036#436—431no—
1037#436—431no—
1038#435—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#433—431no—
1043#433—431no—
1044#432—431no—
1045#428—431no—
1046#428—431no—
1047C2×#106—431no—
1048#418—431no—
1049#417—431no—
1050#417—431no—
1051#417—431no—
1052#416—431no—
1053C2×#103—431no—
1054#405—431no—
1055#405—431no—
1056C4×M16—431no—
1057C43#6150811yescharacteristic, complemented, Sylow
1058C2×#41—21no—
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41C22×D4311yescharacteristic
1062C2×#41C22×D4311yescharacteristic
1063C22×Q8—21no—
1064C22×Q8—431no—
1065C22×D4C22×D4311yescharacteristic
1066C23×C4—21no—
1067#137—864no—
1068AGL(1,ℤ/8)—864no—
1069#135—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×Q16—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×D8—431no—
1083C2×D8—431no—
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×M16—431no—
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C22×C8—431no—
1091C22×C8—431no—
1092C4⋊Q8—431no—
1093C4⋊Q8—861no—
1094C4⋊Q8C22×D4311yescharacteristic
1095C4⋊Q8C22×D4311yescharacteristic
1096C4⋊Q8C22×D4311yescharacteristic
1097C4⋊Q8C22×D4311yescharacteristic
1098#127—431no—
1099#127—861no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126C22⋊D4311yescharacteristic
1109#126C22⋊D4311yescharacteristic
1110#125—21no—
1111#125—21no—
1112#125—21no—
1113#125—431no—
1114#125—431no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125C22⋊D4311yescharacteristic
1119#124—21no—
1120#124—21no—
1121#124—431no—
1122#124—431no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#124C22⋊D4311yescharacteristic
1130#124C22×D4311yescharacteristic
1131#124C22×D4311yescharacteristic
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123C22⋊D4311yescharacteristic
1149#123C22⋊D4311yescharacteristic
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—431no—
1163C22⋊Q8—431no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8C22⋊D4311yescharacteristic
1168C22⋊Q8C22×D4311yescharacteristic
1169C22⋊Q8C22×D4311yescharacteristic
1170C22⋊Q8C22×D4311yescharacteristic
1171C22⋊Q8C22×D4311yescharacteristic
1172#121—21no—
1173#121—21no—
1174#121—21no—
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—431no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121C22⋊D4311yescharacteristic
1188#121C22×D4311yescharacteristic
1189#121C22×D4311yescharacteristic
1190#120—21no—
1191#120—21no—
1192C4×Q8—21no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—861no—
1200C4×Q8—861no—
1201C4×Q8—861no—
1202C4×Q8C22×D4311yescharacteristic
1203C4×Q8C22×D4311yescharacteristic
1204C4×Q8C22×D4311yescharacteristic
1205C4×Q8C22×D4311yescharacteristic
1206C4×Q8C22×D4311yescharacteristic
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4C22×D4311yescharacteristic
1230C4×D4C22×D4311yescharacteristic
1231C4×D4C22×D4311yescharacteristic
1232C4×D4C22×D4311yescharacteristic
1233C4×D4C22×D4311yescharacteristic
1234C4×D4C22×D4311yescharacteristic
1235C4×D4C22×D4311yescharacteristic
1236C4×D4C22×D4311yescharacteristic
1237C4×D4C22×D4311yescharacteristic
1238#117—21no—
1239#117—21no—
1240#117—21no—
1241#117—21no—
1242#117—431no—
1243#117—431no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117C22×D4311yescharacteristic
1252#117C22×D4311yescharacteristic
1253C2×C4⋊C4—21no—
1254C2×C4⋊C4—21no—
1255C2×C4⋊C4—21no—
1256C2×C4⋊C4—431no—
1257C2×C4⋊C4—861no—
1258C2×C4⋊C4C22×D4311yescharacteristic
1259C2×C4⋊C4C22×D4311yescharacteristic
1260C2×C4⋊C4C22×D4311yescharacteristic
1261C2×C22⋊C4—21no—
1262C2×C22⋊C4—21no—
1263C2×C22⋊C4—21no—
1264C2×C42—861no—
1265C2×C42C22×D4311yescharacteristic
1266#107—431no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#106—431no—
1275#106—431no—
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282C4⋊C8—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103—431no—
1303#103—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102—431no—
1320C22⋊C8—431no—
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8—431no—
1326#97—431no—
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332C4×C8—431no—
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C24—21no—
1337#41—22no—
1338#41—22no—
1339#41—41no—
1340#41—41no—
1341#41—82no—
1342#41—862no—
1343#41—862no—
1344#41—1721no—
1345#41—1721no—
1346C2×Q8—21no—
1347C2×Q8—21no—
1348C2×Q8—21no—
1349C2×Q8—82no—
1350C2×Q8—431no—
1351C2×Q8—431no—
1352C2×Q8—862no—
1353C2×Q8—861no—
1354C2×Q8—861no—
1355C2×Q8—1721no—
1356C2×Q8C2×C22⋊D4311yescharacteristic
1357C2×Q8C23×D4311yescharacteristic
1358C2×Q8C23×D4311yescharacteristic
1359C2×D4—22no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—41no—
1366C2×D4—431no—
1367C2×D4—431no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4C2×C22⋊D4311yescharacteristic
1377C2×D4C2×C22⋊D4311yescharacteristic
1378C2×D4C2×C22⋊D4311yescharacteristic
1379C2×D4C23×D4311yescharacteristic
1380C2×D4C23×D4311yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—82no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4C2×C22⋊D4311yescharacteristic
1402C22×C4C2×C22⋊D4311yescharacteristic
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405C22×C4C23×D4311yescharacteristic
1406Q16—862no—
1407Q16—862no—
1408Q16—862no—
1409Q16—1721no—
1410SD16—434no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—1721no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—862no—
1419D8—862no—
1420D8—862no—
1421D8—1721no—
1422M16—862no—
1423M16—862no—
1424M16—1721no—
1425M16—1721no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—431no—
1430C2×C8—431no—
1431C2×C8—431no—
1432C2×C8—431no—
1433C2×C8—431no—
1434C2×C8—862no—
1435C2×C8—1721no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
1455C4⋊C4—431no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4C2×C22⋊D4311yescharacteristic
1471C4⋊C4C2×C22⋊D4311yescharacteristic
1472C4⋊C4C2×C22⋊D4311yescharacteristic
1473C4⋊C4C2×C22⋊D4311yescharacteristic
1474C4⋊C4C2×C22⋊D4311yescharacteristic
1475C4⋊C4C2×C22⋊D4311yescharacteristic
1476C4⋊C4C2×C22⋊D4311yescharacteristic
1477C4⋊C4C2×C22⋊D4311yescharacteristic
1478C4⋊C4C2×C22⋊D4311yescharacteristic
1479C4⋊C4C2×C22⋊D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C4⋊C4C23×D4311yescharacteristic
1482C4⋊C4C23×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4C2×C22⋊D4311yescharacteristic
1517C22⋊C4C2×C22⋊D4311yescharacteristic
1518C22⋊C4C2×C22⋊D4311yescharacteristic
1519C22⋊C4C2×C22⋊D4311yescharacteristic
1520C22⋊C4C2×C22⋊D4311yescharacteristic
1521C22⋊C4C2×C22⋊D4311yescharacteristic
1522C22⋊C4C2×C22⋊D4311yescharacteristic
1523C22⋊C4C2×C22⋊D4311yescharacteristic
1524C22⋊C4C2×C22⋊D4311yescharacteristic
1525C22⋊C4C2×C22⋊D4311yescharacteristic
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42C2×C22⋊D4311yescharacteristic
1539C42C2×C22⋊D4311yescharacteristic
1540C42C23×D4311yescharacteristic
1541C42C23×D4311yescharacteristic
1542C42C23×D4311yescharacteristic
1543C42C23×D4311yescharacteristic
1544C23—21no—
1545C23—21no—
1546C23—42no—
1547C23—42no—
1548C23—81no—
1549C23—861no—
1550C23—861no—
1551C23C22×C22⋊D4311yescharacteristic
1552C23C22×C22⋊D4311yescharacteristic
1553C23C22×C22⋊D4311yescharacteristic
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—21no—
1558Q8—41no—
1559Q8—42no—
1560Q8—81no—
1561Q8—81no—
1562Q8—432no—
1563Q8—861no—
1564Q8—861no—
1565Q8—861no—
1566Q8—3441no—
1567Q8—1722no—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—41no—
1572D4—41no—
1573D4—41no—
1574D4—42no—
1575D4—42no—
1576D4—42no—
1577D4—81no—
1578D4—81no—
1579D4—861no—
1580D4—861no—
1581D4—861no—
1582D4—861no—
1583D4—3441no—
1584D4—3441no—
1585D4—3441no—
1586D4—3441no—
1587D4—3441no—
1588D4—3441no—
1589D4—1722no—
1590D4—1722no—
1591D4#41×D4312yes—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—42no—
1607C2×C4—42no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—1722no—
1629C2×C4—1722no—
1630C2×C4—1722no—
1631C2×C4C22×C22⋊D4311yescharacteristic
1632C2×C4C22×C22⋊D4311yescharacteristic
1633C2×C4C22×C22⋊D4311yescharacteristic
1634C2×C4C22×C22⋊D4311yescharacteristic
1635C2×C4C22×C22⋊D4311yescharacteristic
1636C2×C4C22×C22⋊D4311yescharacteristic
1637C2×C4C22×C22⋊D4311yescharacteristic
1638C2×C4C22×C22⋊D4311yescharacteristic
1639C2×C4C22×C22⋊D4311yescharacteristic
1640C2×C4C22×C22⋊D4311yescharacteristic
1641C2×C4C22×C22⋊D4311yescharacteristic
1642C2×C4C24×D4311yescharacteristic
1643C8—432no—
1644C8—861no—
1645C8—861no—
1646C8—861no—
1647C8—861no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—22no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—84no—
1667C22—1721no—
1668C22—1721no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22C23×C22⋊D4311yescharacteristic
1674C4—21no—
1675C4—21no—
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—862no—
1692C4—1721no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4C2×#41×D4311yescharacteristic
1698C4#1458373511yescharacteristic
1699C2—41no—
1700C2—41no—
1701C2—41no—
1702C2—42no—
1703C2—81no—
1704C2—3441no—
1705C2—3441no—
1706C2#41×C22⋊D4311yescharacteristic
1707C2#1914937511yescharacteristic
1708C2#1914938211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3520C2
socleC22×C43C23×D4
hypercenter#3520D43
hypocenterC43#61508
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #529 ◁ #3520

Complements

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

NH ≅ G/Ntype
1. #19148700C2semidirect
2. #19147661C2semidirect
3. #19147516C2semidirect
4. #19147431C2semidirect
5. #19147387C2semidirect
6. #19147221C2semidirect
7. #19147065C2semidirect
8. #19147044C2semidirect
9. #19146927C2semidirect
10. #19146811C2semidirect
11. #19146751C2semidirect
12. #19146700C2semidirect
13. #19146580C2semidirect
14. #19146571C2semidirect
15. #19146222C2semidirect
16. #19146146C2semidirect
17. #19146131C2semidirect
18. #19145272C2semidirect
19. #19145228C2semidirect
20. #19145195C2semidirect
21. #19144866C2semidirect
22. #19144857C2semidirect
23. #19144818C2semidirect
24. #19144794C2semidirect
25. #19144751C2semidirect
26. #19144733C2semidirect
27. #19143582C2semidirect
28. #19143476C2semidirect
29. #19143434C2semidirect
30. C4×#13063351C2semidirect
31. C43×#3520C2semidirect
35. #14583634C22semidirect
37. #14583627C22semidirect
40. #14583595C22semidirect
46. #14583558C22semidirect
47. #14583520C22semidirect
49. #14583504C22semidirect
54. #14583379C22semidirect
55. #14583376C22semidirect
57. #14583305C22semidirect
58. #14583305C22semidirect
59. #14583302C22semidirect
60. #14583291C22semidirect
63. #14583267C22semidirect
64. #14583261C22semidirect
65. #14583261C22semidirect
68. #14583247C22semidirect
71. #14583237C22semidirect
72. #14583234C22semidirect
74. #14583227C22semidirect
76. #14583217C22semidirect
79. #14583212C22semidirect
80. #14583212C22semidirect
81. #14583206C22semidirect
85. #14583194C22semidirect
86. #14583191C22semidirect
87. #14583191C22semidirect
88. #14583186C22semidirect
89. #14583186C22semidirect
90. #14583181C22semidirect
91. #14583181C22semidirect
98. #14583147C22semidirect
99. #14583147C22semidirect
101. #14583138C22semidirect
104. #14583130C22semidirect
105. #14583121C22semidirect
113. #14583106C22semidirect
114. #14583101C22semidirect
115. #14583099C22semidirect
120. #14583059C22semidirect
121. #14583054C22semidirect
129. #14583030C22semidirect
130. #14583030C22semidirect
136. #14583004C22semidirect
137. #14583004C22semidirect
138. #14583004C22semidirect
139. #14583004C22semidirect
145. #14582997C22semidirect
146. #14582997C22semidirect
147. C4×#10621885C22semidirect
148. C4×#10621885C22semidirect
149. C4×#10621885C22semidirect
150. C4×#10621884C22semidirect
151. C4×#10621884C22semidirect
152. C4×#10621884C22semidirect
163. #14582971C22semidirect
164. #14582971C22semidirect
165. #14582960C22semidirect
166. #14582960C22semidirect
169. #14582939C22semidirect
170. C2×#13063256C22semidirect
174. #14582898C22semidirect
176. C2×#13063248C22semidirect
177. #14582855C22semidirect
178. #14582855C22semidirect
632. #10621883#41semidirect
846. #3520D43semidirect
1057. C43#61508semidirect

Maximal subgroups

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

subgroupindex
#191487002
#191476612
#191475162
#191474312
#191473872
#191472212
#191470652
#191470442
#191469272
#191468112
#191467512
#191467002
#191465802
#191465712
#191462222
#191461462
#191461312
#191452722
#191452282
#191451952
#191448662
#191448572
#191448182
#191447942
#191447512
#191447332
#191435822
#191434762
#191434342
C4×#130633512
C43×#35202
#6150843