Finite Group Databasebeta

← #25979982

Subgroups — #25979982

Order 11008.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148584C211yesmaximal, characteristic, complemented
2#19147655C211yesmaximal, characteristic, complemented
3#19147516C211yesmaximal, characteristic, complemented
4#19147357C211yesmaximal, characteristic, complemented
5#19147313C211yesmaximal, characteristic, complemented
6#19147215C211yesmaximal, characteristic, complemented
7#19147119C211yesmaximal, characteristic, complemented
8#19147095C211yesmaximal, characteristic, complemented
9#19146883C211yesmaximal, characteristic, complemented
10#19146796C211yesmaximal, characteristic, complemented
11#19146775C211yesmaximal, characteristic, complemented
12#19146676C211yesmaximal, characteristic, complemented
13#19146655C211yesmaximal, characteristic, complemented
14#19146616C211yesmaximal, characteristic, complemented
15#19146222C211yesmaximal, characteristic, complemented
16#19146101C211yesmaximal, characteristic, complemented
17#19146086C211yesmaximal, characteristic, complemented
18#19145257C211yesmaximal, characteristic, complemented
19#19145228C211yesmaximal, characteristic, complemented
20#19145184C211yesmaximal, characteristic, complemented
21#19144851C211yesmaximal, characteristic, complemented
22#19144847C211yesmaximal, characteristic, complemented
23#19144818C211yesmaximal, characteristic, complemented
24#19144779C211yesmaximal, characteristic, complemented
25#19144713C211yesmaximal, characteristic, complemented
26#19144704C211yesmaximal, characteristic, complemented
27#19143582C211yesmaximal, characteristic, complemented
28#19143452C211yesmaximal, characteristic, complemented
29#19143427C211yesmaximal, characteristic, complemented
30C4×#13063355C211yesmaximal, characteristic, complemented
31C43×#3514C211yesmaximal, characteristic, complemented
32C2×#13063355C2211yescharacteristic
33C2×#13063351C2211yescharacteristic
34C22×#10621883C2211yescharacteristic
35#14583627C2211yescharacteristic, complemented
36#14583622C2211yescharacteristic, complemented
37#14583616—21no—
38#14583606C2211yescharacteristic, complemented
39#14583603—21no—
40#14583595C2211yescharacteristic, complemented
41#14583592—21no—
42#14583589C2211yescharacteristic
43#14583585—21no—
44D4×Dic86C2211yescharacteristic, complemented
45#14583558C2211yescharacteristic
46#14583558C2211yescharacteristic, complemented
47#14583520C2211yescharacteristic, complemented
48#14583513—21no—
49#14583511C2211yescharacteristic, complemented
50#14583508—21no—
51#14583433C2211yescharacteristic, complemented
52#14583426—21no—
53#14583426—21no—
54#14583379C2211yescharacteristic, complemented
55#14583376C2211yescharacteristic, complemented
56C2×C4×Dic86C2211yescharacteristic, complemented
57#14583305C2211yescharacteristic, complemented
58#14583305C2211yescharacteristic, complemented
59#14583302C2211yescharacteristic, complemented
60#14583294C2211yescharacteristic, complemented
61#14583286C2211yescharacteristic
62#14583281C2211yescharacteristic, complemented
63#14583263C2211yescharacteristic
64#14583261C2211yescharacteristic, complemented
65#14583261C2211yescharacteristic, complemented
66#14583258C2211yescharacteristic, complemented
67#14583253C2211yescharacteristic, complemented
68#14583251C2211yescharacteristic, complemented
69#14583240C2211yescharacteristic, complemented
70#14583240C2211yescharacteristic, complemented
71#14583240C2211yescharacteristic, complemented
72#14583240C2211yescharacteristic, complemented
73#14583237C2211yescharacteristic, complemented
74#14583232C2211yescharacteristic, complemented
75#14583223C2211yescharacteristic, complemented
76#14583223C2211yescharacteristic, complemented
77#14583220C2211yescharacteristic
78#14583210C2211yescharacteristic
79#14583210C2211yescharacteristic, complemented
80#14583210C2211yescharacteristic, complemented
81#14583206C2211yescharacteristic, complemented
82#14583199C2211yescharacteristic
83#14583199C2211yescharacteristic
84#14583199C2211yescharacteristic, complemented
85#14583191C2211yescharacteristic, complemented
86#14583191C2211yescharacteristic, complemented
87#14583191C2211yescharacteristic, complemented
88#14583191C2211yescharacteristic, complemented
89#14583189C2211yescharacteristic, complemented
90#14583181C2211yescharacteristic, complemented
91#14583179C2211yescharacteristic
92#14583176C2211yescharacteristic, complemented
93#14583155C2211yescharacteristic, complemented
94#14583150C2211yescharacteristic, complemented
95#14583150C2211yescharacteristic, complemented
96#14583147C2211yescharacteristic, complemented
97#14583143C2211yescharacteristic
98#14583143C2211yescharacteristic
99#14583143C2211yescharacteristic, complemented
100#14583143C2211yescharacteristic, complemented
101#14583138C2211yescharacteristic, complemented
102#14583138C2211yescharacteristic, complemented
103#14583133C2211yescharacteristic
104#14583126C2211yescharacteristic
105#14583121C2211yescharacteristic, complemented
106#14583118C2211yescharacteristic, complemented
107#14583118C2211yescharacteristic, complemented
108#14583118C2211yescharacteristic, complemented
109#14583114C2211yescharacteristic
110#14583114C2211yescharacteristic
111#14583114C2211yescharacteristic, complemented
112#14583111C2211yescharacteristic, complemented
113#14583104C2211yescharacteristic
114#14583104C2211yescharacteristic, complemented
115#14583096C2211yescharacteristic
116#14583096C2211yescharacteristic
117#14583061C2211yescharacteristic
118#14583059C2211yescharacteristic, complemented
119#14583054C2211yescharacteristic, complemented
120#14583050C2211yescharacteristic
121#14583050C2211yescharacteristic
122#14583050C2211yescharacteristic
123#14583044C2211yescharacteristic
124#14583042C2211yescharacteristic
125#14583037C2211yescharacteristic
126#14583037C2211yescharacteristic, complemented
127#14583037C2211yescharacteristic, complemented
128#14583033C2211yescharacteristic
129#14583030C2211yescharacteristic, complemented
130#14583030C2211yescharacteristic, complemented
131#14583009C2211yescharacteristic
132#14583009C2211yescharacteristic, complemented
133#14583004C2211yescharacteristic, complemented
134#14583004C2211yescharacteristic, complemented
135#14583004C2211yescharacteristic, complemented
136#14582999C2211yescharacteristic
137#14582999C2211yescharacteristic
138#14582999C2211yescharacteristic
139#14582999C2211yescharacteristic
140#14582999C2211yescharacteristic
141#14582999C2211yescharacteristic, complemented
142#14582999C2211yescharacteristic, complemented
143#14582999C2211yescharacteristic, complemented
144#14582999C2211yescharacteristic, complemented
145#14582999C2211yescharacteristic, complemented
146#14582997C2211yescharacteristic, complemented
147C4×#10621885C2211yescharacteristic, complemented
148C4×#10621885C2211yescharacteristic, complemented
149C4×#10621883C2211yescharacteristic
150C4×#10621883C2211yescharacteristic
151C4×#10621883C2211yescharacteristic
152C4×#10621883C2211yescharacteristic, complemented
153C4×#10621883C2211yescharacteristic, complemented
154C4×#10621883C2211yescharacteristic, complemented
155C4×#10621883C2211yescharacteristic, complemented
156C4×#10621882C2211yescharacteristic
157C4×#10621882C2211yescharacteristic, complemented
158C4×#10621882C2211yescharacteristic, complemented
159#14582977C2211yescharacteristic, complemented
160#14582977C2211yescharacteristic, complemented
161#14582971C2211yescharacteristic
162#14582971C2211yescharacteristic
163#14582971C2211yescharacteristic, complemented
164#14582971C2211yescharacteristic, complemented
165#14582960C2211yescharacteristic, complemented
166#14582960C2211yescharacteristic, complemented
167#14582956C2211yescharacteristic, complemented
168#14582942C2211yescharacteristic, complemented
169#14582942C2211yescharacteristic, complemented
170#14582935C2211yescharacteristic, complemented
171#14582907C2211yescharacteristic, complemented
172#14582907C2211yescharacteristic, complemented
173#14582904C2211yescharacteristic
174#14582900C2211yescharacteristic
175#14582893C2211yescharacteristic, complemented
176C2×#13063246C2211yescharacteristic
177#14582855C2211yescharacteristic, complemented
178#14582855C2211yescharacteristic, complemented
179C4×#10621877C2211yescharacteristic, complemented
180C43×#559C2211yescharacteristic
181C43×#556C2211yescharacteristic
182C43×#555C2211yescharacteristic
183C43×#555C2211yescharacteristic
184C43×#551—21no—
185C43×#551—21no—
186D4×Q8×C43C2211yescharacteristic
187C43×#548—21no—
188C43×#546—21no—
189C43×#546C2211yescharacteristic
190C43×#546C2211yescharacteristic
191D42×C43C2211yescharacteristic
192C43×#542C2211yescharacteristic
193C43×#542C2211yescharacteristic
194C43×#538—21no—
195C43×#538—21no—
196C43×#532C2211yescharacteristic
197C43×#529—21no—
198C43×#529C2211yescharacteristic
199C2×#124×C43—21no—
200C43×#518C2211yescharacteristic
201C43×#518C2211yescharacteristic
202C4×#41×C43C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C22×Dic86C2311yescharacteristic
205C22×Dic86C2311yescharacteristic
206#13063355—24no—
207#13063351—24no—
208C2×#10621885C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621883—24no—
212C2×#10621883C2311yescharacteristic
213C2×#10621883C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621877C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621877C2311yescharacteristic
228C2×#10621877C2311yescharacteristic
229C22×C43⋊C8C2311yescharacteristic
230C22×C43⋊C8C2311yescharacteristic
231#13063325C2311yescharacteristic
232#13063325C2311yescharacteristic
233#13063324—21no—
234#13063323—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063319—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063317C2311yescharacteristic
244#13063317C2311yescharacteristic
245#13063316—21no—
246#13063315—21no—
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063313C2311yescharacteristic
252#13063313C2311yescharacteristic
253#13063311—21no—
254#13063311—21no—
255#13063311—21no—
256#13063308—21no—
257#13063307—21no—
258#13063307—21no—
259#13063306—21no—
260#13063304C2311yescharacteristic
261#13063304C2311yescharacteristic
262#13063304C2311yescharacteristic
263#13063304C2311yescharacteristic
264#13063303—21no—
265#13063303—21no—
266#13063303—21no—
267#13063302—21no—
268#13063302—21no—
269#13063302—21no—
270#13063302—21no—
271#13063301—21no—
272#13063299C2311yescharacteristic
273#13063299C2311yescharacteristic
274#13063297—21no—
275#13063297—21no—
276#13063297—21no—
277C4×Dic86—21no—
278C4×Dic86—21no—
279C4×Dic86C2311yescharacteristic
280C4×Dic86C2311yescharacteristic
281C4×Dic86C2311yescharacteristic
282C4×Dic86C2311yescharacteristic
283C4×Dic86C2311yescharacteristic
284C4×Dic86C2311yescharacteristic
285C4×Dic86C2311yescharacteristic
286C4×Dic86C2311yescharacteristic
287#13063290—21no—
288#13063290—21no—
289#13063290—21no—
290C4×D172C2311yescharacteristic
291C4×D172C2311yescharacteristic
292D4×Dic43—21no—
293D4×Dic43—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#13063283—21no—
302#13063283—21no—
303#13063282—21no—
304#13063281—21no—
305#13063281—21no—
306#13063281—21no—
307C2×C4⋊Dic43C2311yescharacteristic
308C2×C4⋊Dic43C2311yescharacteristic
309C2×Dic43⋊C4—21no—
310C4⋊C4×D43—21no—
311C2×C4×Dic43—21no—
312#13063258C2311yescharacteristic
313#13063258C2311yescharacteristic
314#13063258C2311yescharacteristic
315#13063258C2311yescharacteristic
316#13063258C2311yescharacteristic
317#13063258C2311yescharacteristic
318#13063258C2311yescharacteristic
319#13063258C2311yescharacteristic
320#13063258C2311yescharacteristic
321#13063258C2311yescharacteristic
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#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#13063246C2311yescharacteristic
359#13063246C2311yescharacteristic
360#13063246C2311yescharacteristic
361#13063246C2311yescharacteristic
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×Q8×C43—21no—
385C22×D4×C43—21no—
386C22×D4×C43C2311yescharacteristic
387C22×D4×C43C2311yescharacteristic
388C4⋊Q8×C43C2311yescharacteristic
389C4⋊Q8×C43C2311yescharacteristic
390C4⋊Q8×C43C2311yescharacteristic
391#127×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×C43D411yescharacteristic
399#124×C43—21no—
400#124×C43—21no—
401#124×C43—21no—
402#124×C43—21no—
403#124×C43—21no—
404#124×C43—21no—
405#124×C43—21no—
406#124×C43—21no—
407#124×C43—21no—
408#124×C43D411yescharacteristic
409#124×C43C2311yescharacteristic
410#124×C43C2311yescharacteristic
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×C43—21no—
443C4×Q8×C43C2311yescharacteristic
444C4×Q8×C43C2311yescharacteristic
445C4×Q8×C43C2311yescharacteristic
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
471#117×C43C2311yescharacteristic
472#117×C43C2311yescharacteristic
473C2×C22⋊C4×C43—21no—
474C2×C22⋊C4×C43—21no—
475C2×C22⋊C4×C43—21no—
476C2×C22⋊C4×C43—21no—
477C2×C22⋊C4×C43—21no—
478C2×C22⋊C4×C43—21no—
479C2×C42×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×C43—21no—
488C2×Q8×C43—21no—
489C2×Q8×C43—82no—
490C2×Q8×C43C2×D411yescharacteristic
491C2×Q8×C43C2411yescharacteristic
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—21no—
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43—22no—
502C2×D4×C43—22no—
503C2×D4×C43—41no—
504C2×D4×C43—41no—
505C2×D4×C43—82no—
506C2×D4×C43C2×D411yescharacteristic
507C2×D4×C43C2×D411yescharacteristic
508C2×D4×C43C2×D411yescharacteristic
509C2×D4×C43C2411yescharacteristic
510C2×D4×C43C2411yescharacteristic
511C2×D4×C43C2411yescharacteristic
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—21no—
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—
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43—21no—
532C22×Dic43—21no—
533#10621898—22no—
534#10621898—41no—
535C2×D172C2411yescharacteristic
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×Dic86—22no—
540C2×Dic86—22no—
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—41no—
545C2×Dic86—41no—
546C2×Dic86C2411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43C2×D411yescharacteristic
557C4⋊C4×C43C2×D411yescharacteristic
558C4⋊C4×C43C2×D411yescharacteristic
559C4⋊C4×C43C2×D411yescharacteristic
560C4⋊C4×C43C2×D411yescharacteristic
561C4⋊C4×C43C2×D411yescharacteristic
562C4⋊C4×C43C2×D411yescharacteristic
563C4⋊C4×C43C2×D411yescharacteristic
564C4⋊C4×C43C2×D411yescharacteristic
565C4⋊C4×C43C2×D411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
592C22⋊C4×C43C2×D411yescharacteristic
593C22⋊C4×C43C2×D411yescharacteristic
594C22⋊C4×C43C2×D411yescharacteristic
595C22⋊C4×C43C2×D411yescharacteristic
596C22⋊C4×C43C2×D411yescharacteristic
597C22⋊C4×C43C2×D411yescharacteristic
598C22⋊C4×C43C2×D411yescharacteristic
599C22⋊C4×C43C2×D411yescharacteristic
600C22⋊C4×C43C2×D411yescharacteristic
601C42×C43—21no—
602C42×C43—21no—
603C42×C43—21no—
604C42×C43—21no—
605C42×C43—21no—
606C42×C43C2×D411yescharacteristic
607C42×C43C2×D411yescharacteristic
608C42×C43C2411yescharacteristic
609C42×C43C2411yescharacteristic
610C42×C43C2411yescharacteristic
611C42×C43C2411yescharacteristic
612C22⋊Dic43—21no—
613C22⋊Dic43—21no—
614C22⋊Dic43—21no—
615C22⋊Dic43—21no—
616C22⋊Dic43—21no—
617#10621885—22no—
618#10621885—22no—
619#10621885—41no—
620#10621884—41no—
621#10621883—22no—
622#10621883—22no—
623#10621883—22no—
624#10621883—22no—
625#10621883—22no—
626#10621883—41no—
627#10621883—41no—
628#10621883—41no—
629#10621883#4114yescomplemented
630#10621882—22no—
631#10621882—22no—
632#10621882—41no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4—21no—
640(C2×D43)⋊C4—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43C2411yescharacteristic
647C4⋊Dic43C2411yescharacteristic
648C4⋊Dic43C2411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666C4×Dic43—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—21no—
692C23×C43—42no—
693C23×C43—42no—
694C23×C43—81no—
695C23×C43—81no—
696C23×C43—81no—
697C23×C43—81no—
698C23×C43C22×D411yescharacteristic
699C23×C43C22×D411yescharacteristic
700C23×C43C22×D411yescharacteristic
701C22×D43—21no—
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—41no—
705Q8×C43—42no—
706Q8×C43—81no—
707Q8×C43—81no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—21no—
712D4×C43—21no—
713D4×C43—41no—
714D4×C43—41no—
715D4×C43—41no—
716D4×C43—42no—
717D4×C43—42no—
718D4×C43—42no—
719D4×C43—42no—
720D4×C43—81no—
721D4×C43—81no—
722D4×C43—81no—
723D4×C43—81no—
724D4×C43—81no—
725D4×C43C2×#4112yes—
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—21no—
736C2×C4×C43—21no—
737C2×C4×C43—41no—
738C2×C4×C43—41no—
739C2×C4×C43—42no—
740C2×C4×C43—42no—
741C2×C4×C43—81no—
742C2×C4×C43—81no—
743C2×C4×C43—81no—
744C2×C4×C43—81no—
745C2×C4×C43—81no—
746C2×C4×C43—81no—
747C2×C4×C43—81no—
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×C43C22×D411yescharacteristic
756C2×C4×C43C22×D411yescharacteristic
757C2×C4×C43C22×D411yescharacteristic
758C2×C4×C43C22×D411yescharacteristic
759C2×C4×C43C2511yescharacteristic
760C22⋊D43—42no—
761C22⋊D43—42no—
762C22⋊D43—81no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—21no—
770C2×Dic43—42no—
771C2×Dic43—42no—
772C2×Dic43—81no—
773C2×Dic43—81no—
774D172—21no—
775D172—21no—
776C4×D43—42no—
777C4×D43—81no—
778C4×D43—81no—
779Dic86—21no—
780Dic86—21no—
781Dic86—21no—
782Dic86—21no—
783Dic86—21no—
784Dic86—42no—
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#61513—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—41no—
813C22×C43—41no—
814C22×C43—41no—
815C22×C43—162no—
816C22×C43—162no—
817C22×C43C23×D411yescharacteristic
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—41no—
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—21no—
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—
845Dic43—41no—
846#3516—431no—
847#3514D4311yescharacteristic, complemented
848#3401—431no—
849#3386—431no—
850#3371—431no—
851#3367—431no—
852#3357—431no—
853#3349—431no—
854#3347—431no—
855#3329—431no—
856#3322—431no—
857#3321—431no—
858#3314—431no—
859#3313—431no—
860#3310—431no—
861#3275—431no—
862#3266—431no—
863#3265—431no—
864#3178—431no—
865#3175—431no—
866#3171—431no—
867#3124—431no—
868#3123—431no—
869#3121—431no—
870#3118—431no—
871#3112—431no—
872#3111—431no—
873#2967—431no—
874#2949—431no—
875#2946—431no—
876C4×#137—431no—
877C2×C43—41no—
878C2×C43—41no—
879C2×C43—41no—
880C2×C43—42no—
881C2×C43—81no—
882C2×C43—81no—
883C2×C43D4×#4111yescharacteristic
884C2×C43#358511yescharacteristic
885C2×C43#358611yescharacteristic
886D43—81no—
887C2×#137—431no—
888C2×AGL(1,ℤ/8)—431no—
889C22×SD16—431no—
890#559C2×D4311yescharacteristic
891#557—431no—
892#556—431no—
893#556—861no—
894#556C2×D4311yescharacteristic
895#555C2×D4311yescharacteristic
896#555C2×D4311yescharacteristic
897#554—431no—
898#554—861no—
899#553—431no—
900#553—861no—
901#552—431no—
902#552—861no—
903#551—21no—
904#551—21no—
905D4×Q8—431no—
906D4×Q8C2×D4311yescharacteristic
907#548—21no—
908#548—431no—
909#548—431no—
910#546—21no—
911#546C2×D4311yescharacteristic
912#546C2×D4311yescharacteristic
913D42C2×D4311yescharacteristic
914#542—431no—
915#542—861no—
916#542C2×D4311yescharacteristic
917#542C2×D4311yescharacteristic
918#541—431no—
919#541—861no—
920#538—21no—
921#538—21no—
922#532C2×D4311yescharacteristic
923#529—21no—
924#529—431no—
925#529—861no—
926#529—861no—
927#529C2×D4311yescharacteristic
928C2×#124—21no—
929#520—431no—
930#519—431no—
931#518C2×D4311yescharacteristic
932#518C2×D4311yescharacteristic
933C4×#41C2×D4311yescharacteristic
934C2×C4×Q8—431no—
935#501—431no—
936#501—431no—
937#500—431no—
938#497—431no—
939#496—431no—
940#495—431no—
941#490—431no—
942#489—431no—
943#489—431no—
944#489—431no—
945#488—431no—
946#487—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#485—431no—
951#485—431no—
952#484—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#480—431no—
957#480—431no—
958#480—431no—
959#479—431no—
960#478—431no—
961#478—431no—
962#478—431no—
963#477—431no—
964#477—431no—
965#477—431no—
966#477—431no—
967#476—431no—
968#475—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#469—431no—
973#469—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#468—431no—
979#467—431no—
980#467—431no—
981#466—431no—
982#465—431no—
983#464—431no—
984#464—431no—
985#464—431no—
986#464—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#461—431no—
992#461—431no—
993#460—431no—
994#460—431no—
995#452—431no—
996#452—431no—
997#451—431no—
998#450—431no—
999#450—431no—
1000#450—431no—
1001#449—431no—
1002#449—431no—
1003#448—431no—
1004#448—431no—
1005#448—431no—
1006#447—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#441—431no—
1012#441—431no—
1013#441—431no—
1014#440—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—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—
1036C4×D8—431no—
1037#436—431no—
1038#436—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435—431no—
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428—431no—
1047#428—431no—
1048#427—431no—
1049#419—431no—
1050#419—431no—
1051#418—431no—
1052#417—431no—
1053#416—431no—
1054C2×#102—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6151311yescharacteristic, complemented, Sylow
1059C2×#41—21no—
1060C2×#41—431no—
1061C2×#41C22×D4311yescharacteristic
1062C22×Q8—21no—
1063C22×Q8—431no—
1064C22×Q8—431no—
1065C22×D4—21no—
1066C22×D4C22×D4311yescharacteristic
1067C22×D4C22×D4311yescharacteristic
1068#137—864no—
1069AGL(1,ℤ/8)—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×SD16—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×SD16—431no—
1083C2×SD16—864no—
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×D8—431no—
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C2×M16—431no—
1091C22×C8—431no—
1092C22×C8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—861no—
1096C4⋊Q8—861no—
1097C4⋊Q8C22×D4311yescharacteristic
1098C4⋊Q8C22×D4311yescharacteristic
1099C4⋊Q8C22×D4311yescharacteristic
1100#127C22×D4311yescharacteristic
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#126—21no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#126—861no—
1112#126—861no—
1113#126C22⋊D4311yescharacteristic
1114#126C22⋊D4311yescharacteristic
1115#125—431no—
1116#125—431no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125C22⋊D4311yescharacteristic
1124#124—21no—
1125#124—21no—
1126#124—21no—
1127#124—21no—
1128#124—21no—
1129#124—21no—
1130#124—21no—
1131#124—21no—
1132#124—21no—
1133#124—431no—
1134#124—431no—
1135#124—861no—
1136#124—861no—
1137#124—861no—
1138#124C22⋊D4311yescharacteristic
1139#124C22×D4311yescharacteristic
1140#124C22×D4311yescharacteristic
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123C22⋊D4311yescharacteristic
1152#123C22⋊D4311yescharacteristic
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
1160C22⋊Q8—431no—
1161C22⋊Q8—431no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8C22⋊D4311yescharacteristic
1171C22⋊Q8C22×D4311yescharacteristic
1172C22⋊Q8C22×D4311yescharacteristic
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—431no—
1180#121—431no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121C22⋊D4311yescharacteristic
1185#121C22×D4311yescharacteristic
1186#121C22×D4311yescharacteristic
1187#121C22×D4311yescharacteristic
1188#121C22×D4311yescharacteristic
1189#120—21no—
1190#120—21no—
1191#120—21no—
1192#120—21no—
1193C4×Q8—21no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—431no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8—861no—
1207C4×Q8C22×D4311yescharacteristic
1208C4×Q8C22×D4311yescharacteristic
1209C4×Q8C22×D4311yescharacteristic
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—431no—
1219C4×D4—431no—
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×D4C22×D4311yescharacteristic
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
1238C4×D4C22×D4311yescharacteristic
1239#117—21no—
1240#117—21no—
1241#117—21no—
1242#117—431no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117C22×D4311yescharacteristic
1250#117C22×D4311yescharacteristic
1251#117C22×D4311yescharacteristic
1252#117C22×D4311yescharacteristic
1253#117C22×D4311yescharacteristic
1254C2×C4⋊C4—431no—
1255C2×C4⋊C4—431no—
1256C2×C4⋊C4—861no—
1257C2×C4⋊C4—861no—
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—21no—
1260C2×C22⋊C4—21no—
1261C2×C22⋊C4—21no—
1262C2×C22⋊C4—21no—
1263C2×C22⋊C4—21no—
1264C2×C42—21no—
1265C2×C42—861no—
1266C2×C42C22×D4311yescharacteristic
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#107—431no—
1276#107—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282#106—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8—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#103—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—
1320#102—431no—
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8—431no—
1326C22⋊C8—431no—
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332#97—431no—
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8—431no—
1337C24—21no—
1338C24—21no—
1339#41—22no—
1340#41—41no—
1341#41—82no—
1342#41—862no—
1343#41—1721no—
1344C2×Q8—21no—
1345C2×Q8—21no—
1346C2×Q8—21no—
1347C2×Q8—82no—
1348C2×Q8—431no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—862no—
1352C2×Q8—862no—
1353C2×Q8—861no—
1354C2×Q8—861no—
1355C2×Q8—861no—
1356C2×Q8—1721no—
1357C2×Q8—1721no—
1358C2×Q8C2×C22⋊D4311yescharacteristic
1359C2×Q8C23×D4311yescharacteristic
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—82no—
1374C2×D4—431no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4C2×C22⋊D4311yescharacteristic
1379C2×D4C2×C22⋊D4311yescharacteristic
1380C2×D4C2×C22⋊D4311yescharacteristic
1381C2×D4C23×D4311yescharacteristic
1382C2×D4C23×D4311yescharacteristic
1383C2×D4C23×D4311yescharacteristic
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—21no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4C2×C22⋊D4311yescharacteristic
1401C22×C4C2×C22⋊D4311yescharacteristic
1402C22×C4C23×D4311yescharacteristic
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—862no—
1406Q16—862no—
1407Q16—1721no—
1408SD16—434no—
1409SD16—862no—
1410SD16—862no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—1721no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—862no—
1419D8—862no—
1420D8—1721no—
1421M16—862no—
1422M16—862no—
1423M16—1721no—
1424M16—1721no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—431no—
1430C2×C8—431no—
1431C2×C8—431no—
1432C2×C8—431no—
1433C2×C8—862no—
1434C2×C8—1721no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
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⋊C4C2×C22⋊D4311yescharacteristic
1468C4⋊C4C2×C22⋊D4311yescharacteristic
1469C4⋊C4C2×C22⋊D4311yescharacteristic
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⋊C4C23×D4311yescharacteristic
1478C4⋊C4C23×D4311yescharacteristic
1479C4⋊C4C23×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
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—21no—
1501C22⋊C4—21no—
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⋊C4C2×C22⋊D4311yescharacteristic
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
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42C2×C22⋊D4311yescharacteristic
1540C42C2×C22⋊D4311yescharacteristic
1541C42C23×D4311yescharacteristic
1542C42C23×D4311yescharacteristic
1543C42C23×D4311yescharacteristic
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—42no—
1549C23—42no—
1550C23—81no—
1551C23—81no—
1552C23—81no—
1553C23—81no—
1554C23—861no—
1555C23C22×C22⋊D4311yescharacteristic
1556C23C22×C22⋊D4311yescharacteristic
1557C23C22×C22⋊D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—41no—
1561Q8—42no—
1562Q8—81no—
1563Q8—81no—
1564Q8—432no—
1565Q8—861no—
1566Q8—861no—
1567Q8—861no—
1568Q8—861no—
1569Q8—861no—
1570Q8—3441no—
1571Q8—1722no—
1572Q8—1722no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—41no—
1579D4—41no—
1580D4—41no—
1581D4—42no—
1582D4—42no—
1583D4—42no—
1584D4—42no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4—861no—
1591D4—861no—
1592D4—3441no—
1593D4—1722no—
1594D4—1722no—
1595D4#41×D4312yes—
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—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—42no—
1610C2×C4—42no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—861no—
1624C2×C4—861no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—1722no—
1630C2×C4—1722no—
1631C2×C4—1722no—
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×C4C22×C22⋊D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—432no—
1645C8—861no—
1646C8—861no—
1647C8—861no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C8—861no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—22no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—162no—
1671C22—162no—
1672C22—1721no—
1673C22—1721no—
1674C22—1721no—
1675C22C23×C22⋊D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—862no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373511yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—41no—
1704C2—42no—
1705C2—81no—
1706C2—81no—
1707C2—3441no—
1708C2#41×C22⋊D4311yescharacteristic
1709C2#1914937511yescharacteristic
1710C2#1914938111yescharacteristic
subgroupG/H
centerC22C23×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3514C2
socleC22×C43C23×D4
hypercenter#3514D43
hypocenterC43#61513
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #529 ◁ #3514

Complements

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

NH ≅ G/Ntype
1. #19148584C2semidirect
2. #19147655C2semidirect
3. #19147516C2semidirect
4. #19147357C2semidirect
5. #19147313C2semidirect
6. #19147215C2semidirect
7. #19147119C2semidirect
8. #19147095C2semidirect
9. #19146883C2semidirect
10. #19146796C2semidirect
11. #19146775C2semidirect
12. #19146676C2semidirect
13. #19146655C2semidirect
14. #19146616C2semidirect
15. #19146222C2semidirect
16. #19146101C2semidirect
17. #19146086C2semidirect
18. #19145257C2semidirect
19. #19145228C2semidirect
20. #19145184C2semidirect
21. #19144851C2semidirect
22. #19144847C2semidirect
23. #19144818C2semidirect
24. #19144779C2semidirect
25. #19144713C2semidirect
26. #19144704C2semidirect
27. #19143582C2semidirect
28. #19143452C2semidirect
29. #19143427C2semidirect
30. C4×#13063355C2semidirect
31. C43×#3514C2semidirect
35. #14583627C22semidirect
36. #14583622C22semidirect
38. #14583606C22semidirect
40. #14583595C22semidirect
44. D4×Dic86C22semidirect
46. #14583558C22semidirect
47. #14583520C22semidirect
49. #14583511C22semidirect
51. #14583433C22semidirect
54. #14583379C22semidirect
55. #14583376C22semidirect
56. C2×C4×Dic86C22semidirect
57. #14583305C22semidirect
58. #14583305C22semidirect
59. #14583302C22semidirect
60. #14583294C22semidirect
62. #14583281C22semidirect
64. #14583261C22semidirect
65. #14583261C22semidirect
66. #14583258C22semidirect
67. #14583253C22semidirect
68. #14583251C22semidirect
69. #14583240C22semidirect
70. #14583240C22semidirect
71. #14583240C22semidirect
72. #14583240C22semidirect
73. #14583237C22semidirect
74. #14583232C22semidirect
75. #14583223C22semidirect
76. #14583223C22semidirect
79. #14583210C22semidirect
80. #14583210C22semidirect
81. #14583206C22semidirect
84. #14583199C22semidirect
85. #14583191C22semidirect
86. #14583191C22semidirect
87. #14583191C22semidirect
88. #14583191C22semidirect
89. #14583189C22semidirect
90. #14583181C22semidirect
92. #14583176C22semidirect
93. #14583155C22semidirect
94. #14583150C22semidirect
95. #14583150C22semidirect
96. #14583147C22semidirect
99. #14583143C22semidirect
100. #14583143C22semidirect
101. #14583138C22semidirect
102. #14583138C22semidirect
105. #14583121C22semidirect
106. #14583118C22semidirect
107. #14583118C22semidirect
108. #14583118C22semidirect
111. #14583114C22semidirect
112. #14583111C22semidirect
114. #14583104C22semidirect
118. #14583059C22semidirect
119. #14583054C22semidirect
126. #14583037C22semidirect
127. #14583037C22semidirect
129. #14583030C22semidirect
130. #14583030C22semidirect
132. #14583009C22semidirect
133. #14583004C22semidirect
134. #14583004C22semidirect
135. #14583004C22semidirect
141. #14582999C22semidirect
142. #14582999C22semidirect
143. #14582999C22semidirect
144. #14582999C22semidirect
145. #14582999C22semidirect
146. #14582997C22semidirect
147. C4×#10621885C22semidirect
148. C4×#10621885C22semidirect
152. C4×#10621883C22semidirect
153. C4×#10621883C22semidirect
154. C4×#10621883C22semidirect
155. C4×#10621883C22semidirect
157. C4×#10621882C22semidirect
158. C4×#10621882C22semidirect
159. #14582977C22semidirect
160. #14582977C22semidirect
163. #14582971C22semidirect
164. #14582971C22semidirect
165. #14582960C22semidirect
166. #14582960C22semidirect
167. #14582956C22semidirect
168. #14582942C22semidirect
169. #14582942C22semidirect
170. #14582935C22semidirect
171. #14582907C22semidirect
172. #14582907C22semidirect
175. #14582893C22semidirect
177. #14582855C22semidirect
178. #14582855C22semidirect
179. C4×#10621877C22semidirect
629. #10621883#41semidirect
847. #3514D43semidirect
1058. C43#61513semidirect

Maximal subgroups

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

subgroupindex
#191485842
#191476552
#191475162
#191473572
#191473132
#191472152
#191471192
#191470952
#191468832
#191467962
#191467752
#191466762
#191466552
#191466162
#191462222
#191461012
#191460862
#191452572
#191452282
#191451842
#191448512
#191448472
#191448182
#191447792
#191447132
#191447042
#191435822
#191434522
#191434272
C4×#130633552
C43×#35142
#6151343