Finite Group Databasebeta

← #25979808

Subgroups — #25979808

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#19148599C211yesmaximal, characteristic, complemented
2#19147633C211yesmaximal, characteristic, complemented
3#19147540C211yesmaximal, characteristic, complemented
4#19147357C211yesmaximal, characteristic, complemented
5#19147302C211yesmaximal, characteristic, complemented
6#19147155C211yesmaximal, characteristic, complemented
7#19147065C211yesmaximal, characteristic, complemented
8#19147059C211yesmaximal, characteristic, complemented
9#19146916C211yesmaximal, characteristic, complemented
10#19146796C211yesmaximal, characteristic, complemented
11#19146736C211yesmaximal, characteristic, complemented
12#19146715C211yesmaximal, characteristic, complemented
13#19146595C211yesmaximal, characteristic, complemented
14#19146556C211yesmaximal, characteristic, complemented
15#19146211C211yesmaximal, characteristic, complemented
16#19146131C211yesmaximal, characteristic, complemented
17#19146131C211yesmaximal, characteristic, complemented
18#19145272C211yesmaximal, characteristic, complemented
19#19145239C211yesmaximal, characteristic, complemented
20#19145191C211yesmaximal, characteristic, complemented
21#19144866C211yesmaximal, characteristic, complemented
22#19144838C211yesmaximal, characteristic, complemented
23#19144794C211yesmaximal, characteristic, complemented
24#19144788C211yesmaximal, characteristic, complemented
25#19144698C211yesmaximal, characteristic, complemented
26#19144686C211yesmaximal, characteristic, complemented
27#19143582C211yesmaximal, characteristic, complemented
28#19143476C211yesmaximal, characteristic, complemented
29#19143427C211yesmaximal, characteristic, complemented
30C4×#13063351C211yesmaximal, characteristic, complemented
31C43×#3513C211yesmaximal, characteristic, complemented
32C2×#13063351C2211yescharacteristic
33C2×#13063351C2211yescharacteristic
34C2×#13063345C2211yescharacteristic
35#14583627C2211yescharacteristic, complemented
36#14583600—21no—
37#14583600—21no—
38#14583595C2211yescharacteristic
39#14583595C2211yescharacteristic, complemented
40#14583571C2211yescharacteristic, complemented
41#14583570C2211yescharacteristic
42#14583570C2211yescharacteristic, complemented
43#14583570C2211yescharacteristic, complemented
44#14583567—21no—
45#14583553C2211yescharacteristic, complemented
46#14583551—21no—
47#14583504C2211yescharacteristic, complemented
48#14583504C2211yescharacteristic, complemented
49#14583501—21no—
50#14583501—21no—
51#14583449C2211yescharacteristic, complemented
52#14583448—21no—
53#14583434—21no—
54#14583379C2211yescharacteristic, complemented
55#14583379C2211yescharacteristic, complemented
56C4×#10621898C2211yescharacteristic, complemented
57#14583309C2211yescharacteristic, complemented
58#14583305C2211yescharacteristic, complemented
59#14583298C2211yescharacteristic, complemented
60#14583289C2211yescharacteristic, complemented
61#14583289C2211yescharacteristic, complemented
62#14583275C2211yescharacteristic
63#14583265C2211yescharacteristic, complemented
64#14583265C2211yescharacteristic, complemented
65#14583263C2211yescharacteristic
66#14583258C2211yescharacteristic, complemented
67#14583253C2211yescharacteristic, complemented
68#14583247C2211yescharacteristic, complemented
69#14583237C2211yescharacteristic, complemented
70#14583227C2211yescharacteristic, complemented
71#14583223C2211yescharacteristic, complemented
72#14583223C2211yescharacteristic, complemented
73#14583220C2211yescharacteristic
74#14583217C2211yescharacteristic, complemented
75#14583217C2211yescharacteristic, complemented
76#14583217C2211yescharacteristic, complemented
77#14583215C2211yescharacteristic
78#14583215C2211yescharacteristic, complemented
79#14583212C2211yescharacteristic, complemented
80#14583210C2211yescharacteristic, complemented
81#14583206C2211yescharacteristic, complemented
82#14583203C2211yescharacteristic, complemented
83#14583203C2211yescharacteristic, complemented
84#14583199C2211yescharacteristic
85#14583199C2211yescharacteristic
86#14583199C2211yescharacteristic, complemented
87#14583196C2211yescharacteristic, complemented
88#14583196C2211yescharacteristic, complemented
89#14583189C2211yescharacteristic
90#14583189C2211yescharacteristic, complemented
91#14583186C2211yescharacteristic, complemented
92#14583181C2211yescharacteristic, complemented
93#14583150C2211yescharacteristic
94#14583150C2211yescharacteristic
95#14583150C2211yescharacteristic
96#14583150C2211yescharacteristic, complemented
97#14583150C2211yescharacteristic, complemented
98#14583147C2211yescharacteristic, complemented
99#14583147C2211yescharacteristic, complemented
100#14583147C2211yescharacteristic, complemented
101#14583133C2211yescharacteristic
102#14583133C2211yescharacteristic, complemented
103#14583133C2211yescharacteristic, complemented
104#14583130C2211yescharacteristic, complemented
105#14583118C2211yescharacteristic, complemented
106#14583118C2211yescharacteristic, complemented
107#14583111C2211yescharacteristic, complemented
108#14583111C2211yescharacteristic, complemented
109#14583099C2211yescharacteristic, complemented
110#14583096C2211yescharacteristic
111#14583094C2211yescharacteristic
112#14583094C2211yescharacteristic
113#14583094C2211yescharacteristic
114#14583094C2211yescharacteristic, complemented
115#14583094C2211yescharacteristic, complemented
116#14583091C2211yescharacteristic
117#14583059C2211yescharacteristic, complemented
118#14583059C2211yescharacteristic, complemented
119#14583044C2211yescharacteristic
120#14583044C2211yescharacteristic
121#14583042C2211yescharacteristic
122#14583042C2211yescharacteristic
123#14583042C2211yescharacteristic, complemented
124#14583042C2211yescharacteristic, complemented
125#14583033C2211yescharacteristic
126#14583033C2211yescharacteristic
127#14583033C2211yescharacteristic
128#14583033C2211yescharacteristic
129#14583030C2211yescharacteristic, complemented
130#14583030C2211yescharacteristic, complemented
131#14583009C2211yescharacteristic
132#14583009C2211yescharacteristic
133#14583009C2211yescharacteristic
134#14583009C2211yescharacteristic
135#14583009C2211yescharacteristic, complemented
136#14583009C2211yescharacteristic, complemented
137#14583009C2211yescharacteristic, complemented
138#14583009C2211yescharacteristic, complemented
139#14583009C2211yescharacteristic, complemented
140#14583004C2211yescharacteristic, complemented
141#14583004C2211yescharacteristic, complemented
142#14582999C2211yescharacteristic
143#14582999C2211yescharacteristic
144#14582999C2211yescharacteristic, complemented
145#14582999C2211yescharacteristic, complemented
146#14582997C2211yescharacteristic, complemented
147C4×#10621884C2211yescharacteristic, complemented
148C4×#10621884C2211yescharacteristic, complemented
149C4×#10621884C2211yescharacteristic, complemented
150C4×#10621883C2211yescharacteristic
151C4×#10621883C2211yescharacteristic
152C4×#10621883C2211yescharacteristic, complemented
153C4×#10621883C2211yescharacteristic, complemented
154C4×#10621882C2211yescharacteristic
155C4×#10621882C2211yescharacteristic
156C4×#10621882C2211yescharacteristic, complemented
157C4×#10621882C2211yescharacteristic, complemented
158C4×#10621882C2211yescharacteristic, complemented
159#14582977C2211yescharacteristic
160#14582977C2211yescharacteristic, complemented
161#14582971C2211yescharacteristic
162#14582971C2211yescharacteristic, complemented
163#14582971C2211yescharacteristic, complemented
164#14582971C2211yescharacteristic, complemented
165#14582960C2211yescharacteristic, complemented
166#14582960C2211yescharacteristic, complemented
167#14582956C2211yescharacteristic, complemented
168#14582942C2211yescharacteristic, complemented
169#14582939C2211yescharacteristic, complemented
170C2×#13063256C2211yescharacteristic, complemented
171#14582904C2211yescharacteristic
172#14582900C2211yescharacteristic
173#14582898C2211yescharacteristic, complemented
174#14582898C2211yescharacteristic, complemented
175#14582893C2211yescharacteristic, complemented
176C2×#13063246C2211yescharacteristic
177#14582855C2211yescharacteristic, complemented
178#14582855C2211yescharacteristic, complemented
179C4×#10621877C2211yescharacteristic, complemented
180C43×#559C2211yescharacteristic
181C43×#554C2211yescharacteristic
182C43×#553—21no—
183C43×#553C2211yescharacteristic
184C43×#552C2211yescharacteristic
185C43×#551—21no—
186C43×#551—21no—
187C43×#547C2211yescharacteristic
188C43×#546—21no—
189C43×#546C2211yescharacteristic
190C43×#546C2211yescharacteristic
191D42×C43C2211yescharacteristic
192C43×#542C2211yescharacteristic
193C43×#540C2211yescharacteristic
194C43×#539—21no—
195C43×#538—21no—
196C43×#529C2211yescharacteristic
197C43×#529C2211yescharacteristic
198C43×#525—21no—
199C2×#123×C43—21no—
200C43×#520C2211yescharacteristic
201C43×#518C2211yescharacteristic
202C2×C4×D4×C43C2211yescharacteristic
203C2×#10621902—21no—
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621898C2311yescharacteristic
207C2×#10621898C2311yescharacteristic
208C2×#10621900—21no—
209#13063351—24no—
210#13063351—24no—
211#13063345—24no—
212C2×#10621885C2311yescharacteristic
213C2×#10621883C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621882C2311yescharacteristic
220C2×#10621882C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621877C2311yescharacteristic
229C2×#10621877C2311yescharacteristic
230C2×#10621877C2311yescharacteristic
231C2×#10621877C2311yescharacteristic
232C22×C43⋊C8C2311yescharacteristic
233C22×C43⋊C8C2311yescharacteristic
234#13063325C2311yescharacteristic
235#13063323—21no—
236#13063322C2311yescharacteristic
237#13063322C2311yescharacteristic
238#13063322C2311yescharacteristic
239#13063321—21no—
240#13063321—21no—
241#13063321—21no—
242#13063320—21no—
243#13063320—21no—
244#13063317C2311yescharacteristic
245#13063317C2311yescharacteristic
246#13063315—21no—
247#13063315—21no—
248#13063313—21no—
249#13063310—21no—
250#13063310—21no—
251#13063310—21no—
252#13063310—21no—
253#13063309—21no—
254#13063309—21no—
255#13063307—21no—
256#13063307—21no—
257#13063305—21no—
258#13063300—21no—
259#13063300—21no—
260#13063300—21no—
261#13063299—21no—
262#13063299C2311yescharacteristic
263#13063299C2311yescharacteristic
264#13063299C2311yescharacteristic
265#13063299C2311yescharacteristic
266#13063299C2311yescharacteristic
267#13063299C2311yescharacteristic
268#13063298—21no—
269#13063298—21no—
270#13063298—21no—
271#13063298—21no—
272#13063298—21no—
273#13063298—21no—
274#13063298—21no—
275#13063298—21no—
276#13063298—21no—
277#13063298—21no—
278#13063297—21no—
279#13063297—21no—
280C4×Dic86C2311yescharacteristic
281C4×Dic86C2311yescharacteristic
282C4×Dic86C2311yescharacteristic
283C4×Dic86C2311yescharacteristic
284#13063290—21no—
285C4×D172—21no—
286C4×D172C2311yescharacteristic
287C4×D172C2311yescharacteristic
288C4×D172C2311yescharacteristic
289C4×D172C2311yescharacteristic
290C4×D172C2311yescharacteristic
291C4×D172C2311yescharacteristic
292#13063287—21no—
293#13063287—21no—
294#13063287—21no—
295C4×C22⋊D43—21no—
296C4×C22⋊D43—21no—
297(C22⋊D43)⋊C4—21no—
298(C22⋊D43)⋊C4—21no—
299(C22⋊D43)⋊C4—21no—
300(C22⋊D43)⋊C4—21no—
301(C22⋊D43)⋊C4—21no—
302(C22⋊D43)⋊C4—21no—
303#13063284C2311yescharacteristic
304#13063283—21no—
305#13063283—21no—
306#13063282—21no—
307C2×C4⋊Dic43C2311yescharacteristic
308C2×C4⋊Dic43C2311yescharacteristic
309C4⋊C4×D43—21no—
310C4⋊C4×D43—21no—
311C42×D43—21no—
312#13063258C2311yescharacteristic
313#13063258C2311yescharacteristic
314#13063258C2311yescharacteristic
315#13063258C2311yescharacteristic
316#13063258C2311yescharacteristic
317#13063258C2311yescharacteristic
318#13063256C2311yescharacteristic
319#13063256C2311yescharacteristic
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#13063248C2311yescharacteristic
339#13063248C2311yescharacteristic
340#13063248C2311yescharacteristic
341#13063248C2311yescharacteristic
342#13063246C2311yescharacteristic
343#13063246C2311yescharacteristic
344#13063246C2311yescharacteristic
345#13063246C2311yescharacteristic
346#13063246C2311yescharacteristic
347#13063246C2311yescharacteristic
348#13063246C2311yescharacteristic
349#13063246C2311yescharacteristic
350#13063246C2311yescharacteristic
351#13063246C2311yescharacteristic
352#13063246C2311yescharacteristic
353#13063246C2311yescharacteristic
354#13063245C2311yescharacteristic
355#13063245C2311yescharacteristic
356#13063245C2311yescharacteristic
357#13063245C2311yescharacteristic
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
384C22×D4×C43—21no—
385C22×D4×C43C2311yescharacteristic
386C22×D4×C43C2311yescharacteristic
387C23×C4×C43—21no—
388C4⋊Q8×C43C2311yescharacteristic
389#127×C43C2311yescharacteristic
390#126×C43—21no—
391#126×C43—21no—
392#126×C43—21no—
393#126×C43—21no—
394#126×C43D411yescharacteristic
395#126×C43D411yescharacteristic
396#125×C43—21no—
397#125×C43D411yescharacteristic
398#125×C43C2311yescharacteristic
399#125×C43C2311yescharacteristic
400#124×C43—21no—
401#124×C43—21no—
402#124×C43D411yescharacteristic
403#124×C43C2311yescharacteristic
404#124×C43C2311yescharacteristic
405#123×C43—21no—
406#123×C43—21no—
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×C43—21no—
416#123×C43—21no—
417#123×C43D411yescharacteristic
418#123×C43D411yescharacteristic
419C22⋊Q8×C43—21no—
420C22⋊Q8×C43—21no—
421C22⋊Q8×C43—21no—
422C22⋊Q8×C43—21no—
423C22⋊Q8×C43—21no—
424C22⋊Q8×C43D411yescharacteristic
425C22⋊Q8×C43C2311yescharacteristic
426C22⋊Q8×C43C2311yescharacteristic
427#121×C43—21no—
428#121×C43—21no—
429#121×C43—21no—
430#121×C43—21no—
431#121×C43—21no—
432#121×C43—21no—
433#121×C43D411yescharacteristic
434#121×C43C2311yescharacteristic
435#121×C43C2311yescharacteristic
436#121×C43C2311yescharacteristic
437#121×C43C2311yescharacteristic
438#120×C43—21no—
439#120×C43—21no—
440#120×C43—21no—
441#120×C43—21no—
442C4×Q8×C43C2311yescharacteristic
443C4×Q8×C43C2311yescharacteristic
444C4×Q8×C43C2311yescharacteristic
445C4×D4×C43—21no—
446C4×D4×C43—21no—
447C4×D4×C43—21no—
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×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
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×C43C2311yescharacteristic
469#117×C43C2311yescharacteristic
470#117×C43C2311yescharacteristic
471C2×C4⋊C4×C43—21no—
472C2×C4⋊C4×C43—21no—
473C2×C4⋊C4×C43C2311yescharacteristic
474C2×C4⋊C4×C43C2311yescharacteristic
475C2×C22⋊C4×C43—21no—
476C2×C22⋊C4×C43—21no—
477C2×C22⋊C4×C43—21no—
478C2×C22⋊C4×C43—21no—
479C2×C22⋊C4×C43—21no—
480C2×C42×C43C2311yescharacteristic
481C24×C43—21no—
482C24×C43—21no—
483#41×C43—22no—
484#41×C43—41no—
485#41×C43—82no—
486C2×Q8×C43—21no—
487C2×Q8×C43C2×D411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—22no—
499C2×D4×C43—22no—
500C2×D4×C43—41no—
501C2×D4×C43—41no—
502C2×D4×C43—82no—
503C2×D4×C43C2×D411yescharacteristic
504C2×D4×C43C2×D411yescharacteristic
505C2×D4×C43C2×D411yescharacteristic
506C2×D4×C43C2411yescharacteristic
507C2×D4×C43C2411yescharacteristic
508C2×D4×C43C2411yescharacteristic
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—21no—
518C22×C4×C43—21no—
519C22×C4×C43—21no—
520C22×C4×C43—82no—
521C22×C4×C43C2×D411yescharacteristic
522C22×C4×C43C2×D411yescharacteristic
523C22×C4×C43C2411yescharacteristic
524C22×C4×C43C2411yescharacteristic
525C22×C4×C43C2411yescharacteristic
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—21no—
529C2×C22⋊D43—21no—
530C2×C22⋊D43—21no—
531C2×C22⋊D43—21no—
532C2×C22⋊D43—21no—
533C2×C22⋊D43—21no—
534C2×C22⋊D43—21no—
535C22×Dic43—21no—
536C22×Dic43—21no—
537#10621902—82no—
538#10621900—82no—
539#10621898—22no—
540#10621898—22no—
541#10621898—22no—
542#10621898—41no—
543#10621898—41no—
544#10621898—41no—
545#10621898—82no—
546C2×D172—21no—
547C2×D172—21no—
548C2×D172—21no—
549C2×D172—21no—
550C2×D172—21no—
551C2×D172—21no—
552C2×D172C2411yescharacteristic
553C2×D172C2411yescharacteristic
554C2×D172C2411yescharacteristic
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—21no—
562C2×C4×D43—21no—
563C2×C4×D43—21no—
564C2×Dic86—21no—
565C2×Dic86C2411yescharacteristic
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43—21no—
570C4⋊C4×C43—21no—
571C4⋊C4×C43—21no—
572C4⋊C4×C43—21no—
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43C2×D411yescharacteristic
578C4⋊C4×C43C2×D411yescharacteristic
579C4⋊C4×C43C2×D411yescharacteristic
580C4⋊C4×C43C2×D411yescharacteristic
581C4⋊C4×C43C2×D411yescharacteristic
582C4⋊C4×C43C2×D411yescharacteristic
583C4⋊C4×C43C2×D411yescharacteristic
584C4⋊C4×C43C2×D411yescharacteristic
585C4⋊C4×C43C2×D411yescharacteristic
586C4⋊C4×C43C2×D411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
588C4⋊C4×C43C2411yescharacteristic
589C4⋊C4×C43C2411yescharacteristic
590C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
598C22⋊C4×C43—21no—
599C22⋊C4×C43—21no—
600C22⋊C4×C43—21no—
601C22⋊C4×C43—21no—
602C22⋊C4×C43—21no—
603C22⋊C4×C43—21no—
604C22⋊C4×C43—21no—
605C22⋊C4×C43—21no—
606C22⋊C4×C43—21no—
607C22⋊C4×C43—21no—
608C22⋊C4×C43—21no—
609C22⋊C4×C43—21no—
610C22⋊C4×C43C2×D411yescharacteristic
611C22⋊C4×C43C2×D411yescharacteristic
612C22⋊C4×C43C2×D411yescharacteristic
613C22⋊C4×C43C2×D411yescharacteristic
614C22⋊C4×C43C2×D411yescharacteristic
615C22⋊C4×C43C2×D411yescharacteristic
616C22⋊C4×C43C2×D411yescharacteristic
617C22⋊C4×C43C2×D411yescharacteristic
618C22⋊C4×C43C2×D411yescharacteristic
619C22⋊C4×C43C2×D411yescharacteristic
620C42×C43—21no—
621C42×C43—21no—
622C42×C43—21no—
623C42×C43C2×D411yescharacteristic
624C42×C43C2×D411yescharacteristic
625C42×C43C2411yescharacteristic
626C42×C43C2411yescharacteristic
627C42×C43C2411yescharacteristic
628C42×C43C2411yescharacteristic
629C22⋊Dic43—21no—
630#10621885—22no—
631#10621884—22no—
632#10621884—41no—
633#10621884—41no—
634#10621883—22no—
635#10621883—22no—
636#10621883#4114yescomplemented
637#10621882—22no—
638#10621882—22no—
639#10621882—22no—
640#10621882—22no—
641#10621882—22no—
642#10621882—41no—
643#10621882—41no—
644#10621882—41no—
645#10621882—41no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4—21no—
648(C2×D43)⋊C4—21no—
649(C2×D43)⋊C4—21no—
650(C2×D43)⋊C4—21no—
651(C2×D43)⋊C4—21no—
652(C2×D43)⋊C4—21no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4—21no—
657(C2×D43)⋊C4—21no—
658C4⋊Dic43—21no—
659C4⋊Dic43—21no—
660C4⋊Dic43—21no—
661C4⋊Dic43C2411yescharacteristic
662C4⋊Dic43C2411yescharacteristic
663C4⋊Dic43C2411yescharacteristic
664C4⋊Dic43C2411yescharacteristic
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4—21no—
669Dic43⋊C4—21no—
670Dic43⋊C4—21no—
671Dic43⋊C4—21no—
672Dic43⋊C4—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678#10621877—22no—
679#10621877—22no—
680#10621877—41no—
681#10621877—41no—
682C2×C43⋊C8—22no—
683C2×C43⋊C8—41no—
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687C2×C43⋊C8C2411yescharacteristic
688C2×C43⋊C8C2411yescharacteristic
689C2×C43⋊C8C2411yescharacteristic
690C2×C43⋊C8C2411yescharacteristic
691C2×C43⋊C8C2411yescharacteristic
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43—42no—
696C23×C43—42no—
697C23×C43—42no—
698C23×C43—81no—
699C23×C43—81no—
700C23×C43—81no—
701C23×C43C22×D411yescharacteristic
702C23×C43C22×D411yescharacteristic
703C23×C43C22×D411yescharacteristic
704C22×D43—21no—
705C22×D43—21no—
706C22×D43—21no—
707Q8×C43—21no—
708Q8×C43—21no—
709Q8×C43—41no—
710Q8×C43—81no—
711D4×C43—21no—
712D4×C43—21no—
713D4×C43—21no—
714D4×C43—21no—
715D4×C43—21no—
716D4×C43—41no—
717D4×C43—41no—
718D4×C43—41no—
719D4×C43—42no—
720D4×C43—42no—
721D4×C43—42no—
722D4×C43—42no—
723D4×C43—81no—
724D4×C43—81no—
725D4×C43—81no—
726D4×C43—81no—
727D4×C43—81no—
728D4×C43C2×#4112yes—
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—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—41no—
741C2×C4×C43—41no—
742C2×C4×C43—42no—
743C2×C4×C43—42no—
744C2×C4×C43—81no—
745C2×C4×C43—81no—
746C2×C4×C43—81no—
747C2×C4×C43—81no—
748C2×C4×C43—81no—
749C2×C4×C43—81no—
750C2×C4×C43—81no—
751C2×C4×C43—81no—
752C2×C4×C43—81no—
753C2×C4×C43C22×D411yescharacteristic
754C2×C4×C43C22×D411yescharacteristic
755C2×C4×C43C22×D411yescharacteristic
756C2×C4×C43C22×D411yescharacteristic
757C2×C4×C43C22×D411yescharacteristic
758C2×C4×C43C22×D411yescharacteristic
759C2×C4×C43C22×D411yescharacteristic
760C2×C4×C43C22×D411yescharacteristic
761C2×C4×C43C22×D411yescharacteristic
762C2×C4×C43C22×D411yescharacteristic
763C2×C4×C43C22×D411yescharacteristic
764C2×C4×C43C2511yescharacteristic
765C22⋊D43—42no—
766C22⋊D43—42no—
767C22⋊D43—42no—
768C22⋊D43—81no—
769C22⋊D43—81no—
770C22⋊D43—81no—
771C22⋊D43—81no—
772C22⋊D43—81no—
773C22⋊D43—81no—
774C2×Dic43—21no—
775C2×Dic43—21no—
776C2×Dic43—21no—
777C2×Dic43—21no—
778C2×Dic43—21no—
779C2×Dic43—81no—
780C2×Dic43—81no—
781D172—21no—
782D172—21no—
783D172—21no—
784D172—21no—
785D172—21no—
786D172—21no—
787D172—42no—
788D172—81no—
789D172—81no—
790D172—81no—
791D172—81no—
792D172—81no—
793C4×D43—42no—
794C4×D43—42no—
795C4×D43—42no—
796C4×D43—42no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802Dic86—21no—
803Dic86—42no—
804Dic86C2×#4112yes—
805C43⋊C8—21no—
806C43⋊C8—21no—
807C43⋊C8—21no—
808C43⋊C8—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—22no—
821C22×C43—21no—
822C22×C43—21no—
823C22×C43—21no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—84no—
833C22×C43—162no—
834C22×C43C23×D411yescharacteristic
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C4×C43—21no—
845C4×C43—21no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—21no—
851C4×C43—21no—
852C4×C43—21no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—41no—
856C4×C43—41no—
857C4×C43—41no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43C22×#4111yescharacteristic
861C4×C43#58511yescharacteristic
862Dic43—22no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867#3517—431no—
868#3513D4311yescharacteristic, complemented
869#3399—431no—
870#3388—431no—
871#3371—431no—
872#3366—431no—
873#3351—431no—
874#3345—431no—
875#3345—431no—
876#3332—431no—
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—41no—
901C2×C43—42no—
902C2×C43—81no—
903C2×C43—81no—
904C2×C43D4×#4111yescharacteristic
905C2×C43#358511yescharacteristic
906C2×C43#358511yescharacteristic
907D43—81no—
908D43—81no—
909D43—81no—
910C2×AGL(1,ℤ/8)—431no—
911C2×AGL(1,ℤ/8)—431no—
912C2×#135—431no—
913#559C2×D4311yescharacteristic
914#557—431no—
915#554C2×D4311yescharacteristic
916#553—21no—
917#553—431no—
918#553—431no—
919#553—861no—
920#553—861no—
921#553C2×D4311yescharacteristic
922#552C2×D4311yescharacteristic
923#551—21no—
924#551—21no—
925#550—431no—
926#550—431no—
927#550—431no—
928#550—431no—
929#550—861no—
930#547—431no—
931#547—861no—
932#547C2×D4311yescharacteristic
933#546—21no—
934#546C2×D4311yescharacteristic
935#546C2×D4311yescharacteristic
936D42C2×D4311yescharacteristic
937#542C2×D4311yescharacteristic
938#540—431no—
939#540—431no—
940#540—861no—
941#540—861no—
942#540C2×D4311yescharacteristic
943#539—21no—
944#538—21no—
945#532—431no—
946#532—861no—
947#529—861no—
948#529C2×D4311yescharacteristic
949#529C2×D4311yescharacteristic
950#525—21no—
951C2×#123—21no—
952#520—431no—
953#520—431no—
954#520C2×D4311yescharacteristic
955#518C2×D4311yescharacteristic
956C4×#41—431no—
957C2×C4×D4C2×D4311yescharacteristic
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#486—431no—
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#481—431no—
979#481—431no—
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#475—431no—
994#469—431no—
995#469—431no—
996#469—431no—
997#469—431no—
998#469—431no—
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#459—431no—
1018#452—431no—
1019#452—431no—
1020#449—431no—
1021#449—431no—
1022#449—431no—
1023#449—431no—
1024#449—431no—
1025#449—431no—
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×SD16—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060#436—431no—
1061#436—431no—
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#417—431no—
1075#417—431no—
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—431no—
1086C2×#41—861no—
1087C2×#41—861no—
1088C2×#41—861no—
1089C2×#41C22×D4311yescharacteristic
1090C22×D4—21no—
1091C22×D4C22×D4311yescharacteristic
1092C22×D4C22×D4311yescharacteristic
1093C23×C4—21no—
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×SD16—431no—
1104C2×D8—431no—
1105C2×D8—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—431no—
1113C2×M16—431no—
1114C2×M16—431no—
1115C2×M16—431no—
1116C2×M16—431no—
1117C22×C8—431no—
1118C22×C8—431no—
1119C4⋊Q8—431no—
1120C4⋊Q8—861no—
1121C4⋊Q8C22×D4311yescharacteristic
1122#127—431no—
1123#127—431no—
1124#127—431no—
1125#127—861no—
1126#127—861no—
1127#127—861no—
1128#127C22×D4311yescharacteristic
1129#126—21no—
1130#126—21no—
1131#126—21no—
1132#126—21no—
1133#126—861no—
1134#126—861no—
1135#126C22⋊D4311yescharacteristic
1136#126C22⋊D4311yescharacteristic
1137#125—21no—
1138#125—431no—
1139#125—431no—
1140#125—861no—
1141#125—861no—
1142#125C22⋊D4311yescharacteristic
1143#125C22×D4311yescharacteristic
1144#125C22×D4311yescharacteristic
1145#124—21no—
1146#124—21no—
1147#124—861no—
1148#124C22⋊D4311yescharacteristic
1149#124C22×D4311yescharacteristic
1150#124C22×D4311yescharacteristic
1151#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—21no—
1155#123—21no—
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
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#123C22⋊D4311yescharacteristic
1172#123C22⋊D4311yescharacteristic
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—21no—
1176C22⋊Q8—21no—
1177C22⋊Q8—21no—
1178C22⋊Q8—861no—
1179C22⋊Q8C22⋊D4311yescharacteristic
1180C22⋊Q8C22×D4311yescharacteristic
1181C22⋊Q8C22×D4311yescharacteristic
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—21no—
1186#121—21no—
1187#121—21no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—431no—
1192#121—431no—
1193#121—431no—
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#121C22⋊D4311yescharacteristic
1211#121C22×D4311yescharacteristic
1212#121C22×D4311yescharacteristic
1213#121C22×D4311yescharacteristic
1214#121C22×D4311yescharacteristic
1215#120—21no—
1216#120—21no—
1217#120—21no—
1218#120—21no—
1219C4×Q8—431no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—861no—
1224C4×Q8C22×D4311yescharacteristic
1225C4×Q8C22×D4311yescharacteristic
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4—21no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—861no—
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×D4C22×D4311yescharacteristic
1255C4×D4C22×D4311yescharacteristic
1256C4×D4C22×D4311yescharacteristic
1257C4×D4C22×D4311yescharacteristic
1258C4×D4C22×D4311yescharacteristic
1259C4×D4C22×D4311yescharacteristic
1260C4×D4C22×D4311yescharacteristic
1261C4×D4C22×D4311yescharacteristic
1262C4×D4C22×D4311yescharacteristic
1263C4×D4C22×D4311yescharacteristic
1264C4×D4C22×D4311yescharacteristic
1265#117—21no—
1266#117—21no—
1267#117—21no—
1268#117—431no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117C22×D4311yescharacteristic
1273#117C22×D4311yescharacteristic
1274#117C22×D4311yescharacteristic
1275C2×C4⋊C4—21no—
1276C2×C4⋊C4—21no—
1277C2×C4⋊C4—431no—
1278C2×C4⋊C4—431no—
1279C2×C4⋊C4—861no—
1280C2×C4⋊C4—861no—
1281C2×C4⋊C4C22×D4311yescharacteristic
1282C2×C4⋊C4C22×D4311yescharacteristic
1283C2×C22⋊C4—21no—
1284C2×C22⋊C4—21no—
1285C2×C22⋊C4—21no—
1286C2×C22⋊C4—21no—
1287C2×C22⋊C4—21no—
1288C2×C42—861no—
1289C2×C42C22×D4311yescharacteristic
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#106—431no—
1304#106—431no—
1305#106—431no—
1306C4⋊C8—431no—
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312#103—431no—
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
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#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102—431no—
1342#102—431no—
1343#102—431no—
1344C22⋊C8—431no—
1345C22⋊C8—431no—
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
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×C8—431no—
1360C24—21no—
1361C24—21no—
1362#41—22no—
1363#41—41no—
1364#41—82no—
1365#41—862no—
1366#41—862no—
1367#41—862no—
1368#41—3442no—
1369#41—3442no—
1370#41—3442no—
1371#41—1721no—
1372#41—1721no—
1373#41—1721no—
1374C2×Q8—21no—
1375C2×Q8—431no—
1376C2×Q8—861no—
1377C2×Q8C2×C22⋊D4311yescharacteristic
1378C2×Q8C23×D4311yescharacteristic
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—82no—
1393C2×D4—431no—
1394C2×D4—431no—
1395C2×D4—431no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—861no—
1411C2×D4C2×C22⋊D4311yescharacteristic
1412C2×D4C2×C22⋊D4311yescharacteristic
1413C2×D4C2×C22⋊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—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—82no—
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×C4C2×C22⋊D4311yescharacteristic
1441C22×C4C2×C22⋊D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443C22×C4C23×D4311yescharacteristic
1444C22×C4C23×D4311yescharacteristic
1445Q16—862no—
1446SD16—434no—
1447SD16—862no—
1448SD16—862no—
1449SD16—862no—
1450SD16—1721no—
1451SD16—1721no—
1452D8—862no—
1453D8—862no—
1454D8—862no—
1455D8—862no—
1456D8—862no—
1457D8—1721no—
1458D8—1721no—
1459D8—1721no—
1460D8—1721no—
1461M16—862no—
1462M16—862no—
1463M16—1721no—
1464M16—1721no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—431no—
1469C2×C8—431no—
1470C2×C8—431no—
1471C2×C8—431no—
1472C2×C8—431no—
1473C2×C8—862no—
1474C2×C8—1721no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
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⋊C4C2×C22⋊D4311yescharacteristic
1502C4⋊C4C2×C22⋊D4311yescharacteristic
1503C4⋊C4C2×C22⋊D4311yescharacteristic
1504C4⋊C4C2×C22⋊D4311yescharacteristic
1505C4⋊C4C2×C22⋊D4311yescharacteristic
1506C4⋊C4C2×C22⋊D4311yescharacteristic
1507C4⋊C4C2×C22⋊D4311yescharacteristic
1508C4⋊C4C2×C22⋊D4311yescharacteristic
1509C4⋊C4C2×C22⋊D4311yescharacteristic
1510C4⋊C4C2×C22⋊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—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
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⋊C4C2×C22⋊D4311yescharacteristic
1548C22⋊C4C2×C22⋊D4311yescharacteristic
1549C22⋊C4C2×C22⋊D4311yescharacteristic
1550C22⋊C4C2×C22⋊D4311yescharacteristic
1551C22⋊C4C2×C22⋊D4311yescharacteristic
1552C22⋊C4C2×C22⋊D4311yescharacteristic
1553C22⋊C4C2×C22⋊D4311yescharacteristic
1554C22⋊C4C2×C22⋊D4311yescharacteristic
1555C22⋊C4C2×C22⋊D4311yescharacteristic
1556C22⋊C4C2×C22⋊D4311yescharacteristic
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—861no—
1561C42—861no—
1562C42—861no—
1563C42—861no—
1564C42—861no—
1565C42C2×C22⋊D4311yescharacteristic
1566C42C2×C22⋊D4311yescharacteristic
1567C42C23×D4311yescharacteristic
1568C42C23×D4311yescharacteristic
1569C42C23×D4311yescharacteristic
1570C42C23×D4311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—42no—
1575C23—42no—
1576C23—42no—
1577C23—81no—
1578C23—81no—
1579C23—81no—
1580C23—861no—
1581C23—861no—
1582C23—861no—
1583C23C22×C22⋊D4311yescharacteristic
1584C23C22×C22⋊D4311yescharacteristic
1585C23C22×C22⋊D4311yescharacteristic
1586Q8—21no—
1587Q8—21no—
1588Q8—41no—
1589Q8—81no—
1590Q8—432no—
1591Q8—861no—
1592Q8—1722no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—41no—
1599D4—41no—
1600D4—41no—
1601D4—42no—
1602D4—42no—
1603D4—42no—
1604D4—42no—
1605D4—81no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4—861no—
1611D4—861no—
1612D4—861no—
1613D4—861no—
1614D4—861no—
1615D4—861no—
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#41×D4312yes—
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—21no—
1642C2×C4—21no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—42no—
1646C2×C4—42no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—3441no—
1662C2×C4—3441no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—1722no—
1669C2×C4—1722no—
1670C2×C4—1722no—
1671C2×C4—1722no—
1672C2×C4C22×C22⋊D4311yescharacteristic
1673C2×C4C22×C22⋊D4311yescharacteristic
1674C2×C4C22×C22⋊D4311yescharacteristic
1675C2×C4C22×C22⋊D4311yescharacteristic
1676C2×C4C22×C22⋊D4311yescharacteristic
1677C2×C4C22×C22⋊D4311yescharacteristic
1678C2×C4C22×C22⋊D4311yescharacteristic
1679C2×C4C22×C22⋊D4311yescharacteristic
1680C2×C4C22×C22⋊D4311yescharacteristic
1681C2×C4C22×C22⋊D4311yescharacteristic
1682C2×C4C22×C22⋊D4311yescharacteristic
1683C2×C4C24×D4311yescharacteristic
1684C8—432no—
1685C8—861no—
1686C8—861no—
1687C8—861no—
1688C8—861no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—22no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—84no—
1711C22—162no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22C23×C22⋊D4311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—21no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—862no—
1739C4—1721no—
1740C4—1721no—
1741C4—1721no—
1742C4—1721no—
1743C4C2×#41×D4311yescharacteristic
1744C4#1458373511yescharacteristic
1745C2—41no—
1746C2—41no—
1747C2—41no—
1748C2—42no—
1749C2—81no—
1750C2—81no—
1751C2—3441no—
1752C2—3441no—
1753C2—3441no—
1754C2#41×C22⋊D4311yescharacteristic
1755C2#1914937411yescharacteristic
1756C2#1914937511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3513C2
socleC22×C43C23×D4
hypercenter#3513D43
hypocenterC43#61507
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #529 ◁ #3513

Complements

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

NH ≅ G/Ntype
1. #19148599C2semidirect
2. #19147633C2semidirect
3. #19147540C2semidirect
4. #19147357C2semidirect
5. #19147302C2semidirect
6. #19147155C2semidirect
7. #19147065C2semidirect
8. #19147059C2semidirect
9. #19146916C2semidirect
10. #19146796C2semidirect
11. #19146736C2semidirect
12. #19146715C2semidirect
13. #19146595C2semidirect
14. #19146556C2semidirect
15. #19146211C2semidirect
16. #19146131C2semidirect
17. #19146131C2semidirect
18. #19145272C2semidirect
19. #19145239C2semidirect
20. #19145191C2semidirect
21. #19144866C2semidirect
22. #19144838C2semidirect
23. #19144794C2semidirect
24. #19144788C2semidirect
25. #19144698C2semidirect
26. #19144686C2semidirect
27. #19143582C2semidirect
28. #19143476C2semidirect
29. #19143427C2semidirect
30. C4×#13063351C2semidirect
31. C43×#3513C2semidirect
35. #14583627C22semidirect
39. #14583595C22semidirect
40. #14583571C22semidirect
42. #14583570C22semidirect
43. #14583570C22semidirect
45. #14583553C22semidirect
47. #14583504C22semidirect
48. #14583504C22semidirect
51. #14583449C22semidirect
54. #14583379C22semidirect
55. #14583379C22semidirect
56. C4×#10621898C22semidirect
57. #14583309C22semidirect
58. #14583305C22semidirect
59. #14583298C22semidirect
60. #14583289C22semidirect
61. #14583289C22semidirect
63. #14583265C22semidirect
64. #14583265C22semidirect
66. #14583258C22semidirect
67. #14583253C22semidirect
68. #14583247C22semidirect
69. #14583237C22semidirect
70. #14583227C22semidirect
71. #14583223C22semidirect
72. #14583223C22semidirect
74. #14583217C22semidirect
75. #14583217C22semidirect
76. #14583217C22semidirect
78. #14583215C22semidirect
79. #14583212C22semidirect
80. #14583210C22semidirect
81. #14583206C22semidirect
82. #14583203C22semidirect
83. #14583203C22semidirect
86. #14583199C22semidirect
87. #14583196C22semidirect
88. #14583196C22semidirect
90. #14583189C22semidirect
91. #14583186C22semidirect
92. #14583181C22semidirect
96. #14583150C22semidirect
97. #14583150C22semidirect
98. #14583147C22semidirect
99. #14583147C22semidirect
100. #14583147C22semidirect
102. #14583133C22semidirect
103. #14583133C22semidirect
104. #14583130C22semidirect
105. #14583118C22semidirect
106. #14583118C22semidirect
107. #14583111C22semidirect
108. #14583111C22semidirect
109. #14583099C22semidirect
114. #14583094C22semidirect
115. #14583094C22semidirect
117. #14583059C22semidirect
118. #14583059C22semidirect
123. #14583042C22semidirect
124. #14583042C22semidirect
129. #14583030C22semidirect
130. #14583030C22semidirect
135. #14583009C22semidirect
136. #14583009C22semidirect
137. #14583009C22semidirect
138. #14583009C22semidirect
139. #14583009C22semidirect
140. #14583004C22semidirect
141. #14583004C22semidirect
144. #14582999C22semidirect
145. #14582999C22semidirect
146. #14582997C22semidirect
147. C4×#10621884C22semidirect
148. C4×#10621884C22semidirect
149. C4×#10621884C22semidirect
152. C4×#10621883C22semidirect
153. C4×#10621883C22semidirect
156. C4×#10621882C22semidirect
157. C4×#10621882C22semidirect
158. C4×#10621882C22semidirect
160. #14582977C22semidirect
162. #14582971C22semidirect
163. #14582971C22semidirect
164. #14582971C22semidirect
165. #14582960C22semidirect
166. #14582960C22semidirect
167. #14582956C22semidirect
168. #14582942C22semidirect
169. #14582939C22semidirect
170. C2×#13063256C22semidirect
173. #14582898C22semidirect
174. #14582898C22semidirect
175. #14582893C22semidirect
177. #14582855C22semidirect
178. #14582855C22semidirect
179. C4×#10621877C22semidirect
636. #10621883#41semidirect
868. #3513D43semidirect
1081. C43#61507semidirect

Maximal subgroups

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

subgroupindex
#191485992
#191476332
#191475402
#191473572
#191473022
#191471552
#191470652
#191470592
#191469162
#191467962
#191467362
#191467152
#191465952
#191465562
#191462112
#191461312
#191452722
#191452392
#191451912
#191448662
#191448382
#191447942
#191447882
#191446982
#191446862
#191435822
#191434762
#191434272
C4×#130633512
C43×#35132
#6150743