Finite Group Databasebeta

← #25979963

Subgroups — #25979963

Order 11008.

1760 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148700C211yesmaximal, characteristic
2#19147644C211yesmaximal, characteristic, complemented
3#19147558C211yesmaximal, characteristic, complemented
4#19147394C211yesmaximal, characteristic, complemented
5#19147363C211yesmaximal, characteristic, complemented
6#19147164C211yesmaximal, characteristic, complemented
7#19147140C211yesmaximal, characteristic, complemented
8#19147104C211yesmaximal, characteristic, complemented
9#19146889C211yesmaximal, characteristic, complemented
10#19146857C211yesmaximal, characteristic, complemented
11#19146766C211yesmaximal, characteristic, complemented
12#19146715C211yesmaximal, characteristic, complemented
13#19146655C211yesmaximal, characteristic, complemented
14#19146646C211yesmaximal, characteristic, complemented
15#19146257C211yesmaximal, characteristic, complemented
16#19146166C211yesmaximal, characteristic, complemented
17#19146166C211yesmaximal, characteristic, complemented
18#19145265C211yesmaximal, characteristic, complemented
19#19145224C211yesmaximal, characteristic, complemented
20#19145195C211yesmaximal, characteristic, complemented
21#19144890C211yesmaximal, characteristic, complemented
22#19144886C211yesmaximal, characteristic, complemented
23#19144824C211yesmaximal, characteristic, complemented
24#19144803C211yesmaximal, characteristic, complemented
25#19144766C211yesmaximal, characteristic, complemented
26#19144751C211yesmaximal, characteristic, complemented
27#19143582C211yesmaximal, characteristic, complemented
28#19143461C211yesmaximal, characteristic, complemented
29#19143438C211yesmaximal, characteristic, complemented
30C4×#13063356C211yesmaximal, characteristic, complemented
31C43×#3523C211yesmaximal, characteristic, complemented
32C2×#13063356C2211yescharacteristic
33C2×#13063356C2211yescharacteristic
34C22×#10621885C2211yescharacteristic
35#14583634C2211yescharacteristic
36#14583633—21no—
37#14583627C2211yescharacteristic
38#14583614C2211yescharacteristic
39#14583611—21no—
40#14583595C2211yescharacteristic
41#14583594—21no—
42#14583589C2211yescharacteristic
43#14583581—21no—
44#14583570C2211yescharacteristic
45#14583558C2211yescharacteristic
46#14583558C2211yescharacteristic
47#14583520C2211yescharacteristic
48#14583519—21no—
49#14583504C2211yescharacteristic
50#14583499—21no—
51#14583433C2211yescharacteristic
52#14583432—21no—
53#14583432—21no—
54#14583379C2211yescharacteristic
55#14583376C2211yescharacteristic
56C4×#10621898C2211yescharacteristic
57#14583309C2211yescharacteristic
58#14583305C2211yescharacteristic
59#14583298C2211yescharacteristic
60#14583291C2211yescharacteristic
61#14583291C2211yescharacteristic
62#14583273C2211yescharacteristic
63#14583267C2211yescharacteristic
64#14583267C2211yescharacteristic
65#14583265C2211yescharacteristic
66#14583261C2211yescharacteristic
67#14583256C2211yescharacteristic
68#14583249C2211yescharacteristic
69#14583240C2211yescharacteristic
70#14583237C2211yescharacteristic
71#14583237C2211yescharacteristic
72#14583237C2211yescharacteristic
73#14583237C2211yescharacteristic
74#14583234C2211yescharacteristic
75#14583232C2211yescharacteristic
76#14583227C2211yescharacteristic
77#14583223C2211yescharacteristic
78#14583223C2211yescharacteristic
79#14583223C2211yescharacteristic
80#14583217C2211yescharacteristic
81#14583206C2211yescharacteristic
82#14583206C2211yescharacteristic
83#14583206C2211yescharacteristic
84#14583206C2211yescharacteristic
85#14583203C2211yescharacteristic
86#14583203C2211yescharacteristic
87#14583203C2211yescharacteristic
88#14583196C2211yescharacteristic
89#14583194C2211yescharacteristic
90#14583191C2211yescharacteristic
91#14583186C2211yescharacteristic
92#14583184C2211yescharacteristic
93#14583155C2211yescharacteristic
94#14583155C2211yescharacteristic
95#14583155C2211yescharacteristic
96#14583147C2211yescharacteristic
97#14583147C2211yescharacteristic
98#14583147C2211yescharacteristic
99#14583147C2211yescharacteristic
100#14583147C2211yescharacteristic
101#14583138C2211yescharacteristic
102#14583130C2211yescharacteristic
103#14583130C2211yescharacteristic
104#14583130C2211yescharacteristic
105#14583121C2211yescharacteristic
106#14583121C2211yescharacteristic
107#14583121C2211yescharacteristic
108#14583121C2211yescharacteristic
109#14583106C2211yescharacteristic
110#14583106C2211yescharacteristic
111#14583106C2211yescharacteristic
112#14583106C2211yescharacteristic
113#14583101C2211yescharacteristic
114#14583101C2211yescharacteristic
115#14583099C2211yescharacteristic
116#14583099C2211yescharacteristic
117#14583059C2211yescharacteristic
118#14583059C2211yescharacteristic
119#14583059C2211yescharacteristic
120#14583059C2211yescharacteristic
121#14583055C2211yescharacteristic
122#14583055C2211yescharacteristic
123#14583054C2211yescharacteristic
124#14583054C2211yescharacteristic
125#14583038C2211yescharacteristic
126#14583038C2211yescharacteristic
127#14583038C2211yescharacteristic
128#14583038C2211yescharacteristic
129#14583030C2211yescharacteristic
130#14583030C2211yescharacteristic
131#14583004C2211yescharacteristic
132#14583004C2211yescharacteristic
133#14583004C2211yescharacteristic
134#14583004C2211yescharacteristic
135#14583004C2211yescharacteristic
136#14583004C2211yescharacteristic
137#14583004C2211yescharacteristic
138#14583004C2211yescharacteristic
139#14583004C2211yescharacteristic
140#14582997C2211yescharacteristic
141#14582997C2211yescharacteristic
142#14582997C2211yescharacteristic
143#14582997C2211yescharacteristic
144#14582997C2211yescharacteristic
145#14582997C2211yescharacteristic
146#14582997C2211yescharacteristic
147C4×#10621885C2211yescharacteristic
148C4×#10621885C2211yescharacteristic
149C4×#10621885C2211yescharacteristic
150C4×#10621885C2211yescharacteristic
151C4×#10621885C2211yescharacteristic
152C4×#10621885C2211yescharacteristic
153C4×#10621885C2211yescharacteristic
154C4×#10621884C2211yescharacteristic
155C4×#10621884C2211yescharacteristic
156C4×#10621884C2211yescharacteristic
157C4×#10621884C2211yescharacteristic
158C4×#10621884C2211yescharacteristic
159#14582977C2211yescharacteristic
160#14582977C2211yescharacteristic
161#14582971C2211yescharacteristic
162#14582971C2211yescharacteristic
163#14582971C2211yescharacteristic
164#14582971C2211yescharacteristic
165#14582960C2211yescharacteristic
166#14582960C2211yescharacteristic
167#14582956C2211yescharacteristic
168#14582942C2211yescharacteristic
169#14582939C2211yescharacteristic
170#14582935C2211yescharacteristic
171#14582908C2211yescharacteristic
172#14582908C2211yescharacteristic
173#14582907C2211yescharacteristic
174#14582898C2211yescharacteristic
175#14582893C2211yescharacteristic
176C2×#13063249C2211yescharacteristic
177#14582855C2211yescharacteristic
178#14582855C2211yescharacteristic
179C4×#10621877C2211yescharacteristic
180C43×#557—21no—
181C43×#557C2211yescharacteristic
182C43×#557C2211yescharacteristic
183C43×#556—21no—
184C43×#556C2211yescharacteristic
185C43×#552—21no—
186C43×#552—21no—
187C43×#552C2211yescharacteristic
188C43×#552C2211yescharacteristic
189D4×Q8×C43C2211yescharacteristic
190D4×Q8×C43C2211yescharacteristic
191D4×Q8×C43C2211yescharacteristic
192C43×#541—21no—
193C43×#541—21no—
194C43×#541C2211yescharacteristic
195C43×#541C2211yescharacteristic
196C43×#533—21no—
197C43×#533C2211yescharacteristic
198C43×#529—21no—
199C43×#529C2211yescharacteristic
200C43×#519C2211yescharacteristic
201C43×#519C2211yescharacteristic
202C2×C4×Q8×C43C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C22×Dic86C2311yescharacteristic
206#13063356—24no—
207#13063356—24no—
208C2×#10621885—24no—
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×#10621877C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621877C2311yescharacteristic
228C2×#10621877C2311yescharacteristic
229C22×C43⋊C8C2311yescharacteristic
230C22×C43⋊C8C2311yescharacteristic
231#13063325C2311yescharacteristic
232#13063323—21no—
233#13063322C2311yescharacteristic
234#13063321—21no—
235#13063320—21no—
236#13063320—21no—
237#13063319—21no—
238#13063318—21no—
239#13063317C2311yescharacteristic
240#13063317C2311yescharacteristic
241#13063315—21no—
242#13063315—21no—
243#13063315—21no—
244#13063314—21no—
245#13063313C2311yescharacteristic
246#13063313C2311yescharacteristic
247#13063311—21no—
248#13063311—21no—
249#13063311—21no—
250#13063311—21no—
251#13063311—21no—
252#13063310—21no—
253#13063310—21no—
254#13063310—21no—
255#13063310—21no—
256#13063308—21no—
257#13063307—21no—
258#13063307—21no—
259#13063306—21no—
260#13063304C2311yescharacteristic
261#13063304C2311yescharacteristic
262#13063303—21no—
263#13063303—21no—
264#13063303—21no—
265#13063299C2311yescharacteristic
266#13063299C2311yescharacteristic
267#13063299C2311yescharacteristic
268#13063299C2311yescharacteristic
269#13063298—21no—
270#13063298—21no—
271#13063298—21no—
272#13063298—21no—
273#13063297—21no—
274#13063297—21no—
275#13063297—21no—
276#13063296—21no—
277C4×Dic86C2311yescharacteristic
278C4×Dic86C2311yescharacteristic
279C4×Dic86C2311yescharacteristic
280C4×Dic86C2311yescharacteristic
281C4×Dic86C2311yescharacteristic
282C4×Dic86C2311yescharacteristic
283#13063290—21no—
284#13063290—21no—
285#13063290—21no—
286C4×D172C2311yescharacteristic
287C4×D172C2311yescharacteristic
288C4×D172C2311yescharacteristic
289C4×D172C2311yescharacteristic
290#13063287—21no—
291#13063287—21no—
292C4×C22⋊D43—21no—
293C4×C22⋊D43—21no—
294C4×C22⋊D43—21no—
295(C22⋊D43)⋊C4—21no—
296(C22⋊D43)⋊C4—21no—
297(C22⋊D43)⋊C4—21no—
298(C22⋊D43)⋊C4—21no—
299(C22⋊D43)⋊C4—21no—
300#13063284C2311yescharacteristic
301#13063284C2311yescharacteristic
302#13063283—21no—
303#13063283—21no—
304#13063282—21no—
305#13063282—21no—
306#13063281—21no—
307#13063281—21no—
308#13063281—21no—
309C2×C4⋊Dic43C2311yescharacteristic
310C4⋊C4×D43—21no—
311C42×D43—21no—
312#13063258C2311yescharacteristic
313#13063258C2311yescharacteristic
314#13063258C2311yescharacteristic
315#13063258C2311yescharacteristic
316#13063258C2311yescharacteristic
317#13063258C2311yescharacteristic
318#13063258C2311yescharacteristic
319#13063258C2311yescharacteristic
320#13063256C2311yescharacteristic
321#13063256C2311yescharacteristic
322#13063256C2311yescharacteristic
323#13063256C2311yescharacteristic
324#13063256C2311yescharacteristic
325#13063256C2311yescharacteristic
326#13063256C2311yescharacteristic
327#13063256C2311yescharacteristic
328C4⋊(C43⋊C8)C2311yescharacteristic
329C4⋊(C43⋊C8)C2311yescharacteristic
330C4⋊(C43⋊C8)C2311yescharacteristic
331C4⋊(C43⋊C8)C2311yescharacteristic
332C4⋊(C43⋊C8)C2311yescharacteristic
333C4⋊(C43⋊C8)C2311yescharacteristic
334#13063249C2311yescharacteristic
335#13063249C2311yescharacteristic
336#13063249C2311yescharacteristic
337#13063249C2311yescharacteristic
338#13063249C2311yescharacteristic
339#13063249C2311yescharacteristic
340#13063249C2311yescharacteristic
341#13063249C2311yescharacteristic
342#13063249C2311yescharacteristic
343#13063249C2311yescharacteristic
344#13063249C2311yescharacteristic
345#13063249C2311yescharacteristic
346#13063249C2311yescharacteristic
347#13063249C2311yescharacteristic
348#13063249C2311yescharacteristic
349#13063249C2311yescharacteristic
350#13063248C2311yescharacteristic
351#13063248C2311yescharacteristic
352#13063248C2311yescharacteristic
353#13063248C2311yescharacteristic
354#13063248C2311yescharacteristic
355#13063248C2311yescharacteristic
356#13063248C2311yescharacteristic
357#13063248C2311yescharacteristic
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
382C22×Q8×C43C2311yescharacteristic
383C22×Q8×C43C2311yescharacteristic
384C22×Q8×C43C2311yescharacteristic
385C4⋊Q8×C43—21no—
386C4⋊Q8×C43—21no—
387C4⋊Q8×C43—21no—
388C4⋊Q8×C43—21no—
389C4⋊Q8×C43C2311yescharacteristic
390C4⋊Q8×C43C2311yescharacteristic
391C4⋊Q8×C43C2311yescharacteristic
392C4⋊Q8×C43C2311yescharacteristic
393#126×C43—21no—
394#126×C43—21no—
395#126×C43—21no—
396#126×C43—21no—
397#126×C43—21no—
398#126×C43—21no—
399#126×C43—21no—
400#126×C43—21no—
401#126×C43D411yescharacteristic
402#126×C43D411yescharacteristic
403#125×C43—21no—
404#125×C43—21no—
405#125×C43—21no—
406#125×C43—21no—
407#125×C43—21no—
408#125×C43—21no—
409#125×C43—21no—
410#125×C43—21no—
411#125×C43—21no—
412#125×C43—21no—
413#125×C43—21no—
414#125×C43—21no—
415#125×C43D411yescharacteristic
416#125×C43C2311yescharacteristic
417#125×C43C2311yescharacteristic
418#124×C43—21no—
419#124×C43D411yescharacteristic
420#123×C43—21no—
421#123×C43—21no—
422#123×C43D411yescharacteristic
423#123×C43D411yescharacteristic
424C22⋊Q8×C43—21no—
425C22⋊Q8×C43—21no—
426C22⋊Q8×C43—21no—
427C22⋊Q8×C43—21no—
428C22⋊Q8×C43—21no—
429C22⋊Q8×C43—21no—
430C22⋊Q8×C43—21no—
431C22⋊Q8×C43D411yescharacteristic
432C22⋊Q8×C43C2311yescharacteristic
433C22⋊Q8×C43C2311yescharacteristic
434C22⋊Q8×C43C2311yescharacteristic
435C22⋊Q8×C43C2311yescharacteristic
436C22⋊Q8×C43C2311yescharacteristic
437C22⋊Q8×C43C2311yescharacteristic
438#121×C43D411yescharacteristic
439C4×Q8×C43—21no—
440C4×Q8×C43—21no—
441C4×Q8×C43—21no—
442C4×Q8×C43—21no—
443C4×Q8×C43—21no—
444C4×Q8×C43—21no—
445C4×Q8×C43—21no—
446C4×Q8×C43—21no—
447C4×Q8×C43—21no—
448C4×Q8×C43—21no—
449C4×Q8×C43C2311yescharacteristic
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×Q8×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×Q8×C43C2311yescharacteristic
460C4×D4×C43—21no—
461C4×D4×C43—21no—
462C4×D4×C43—21no—
463C4×D4×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466#117×C43—21no—
467#117×C43—21no—
468#117×C43—21no—
469#117×C43—21no—
470#117×C43—21no—
471#117×C43—21no—
472#117×C43—21no—
473#117×C43C2311yescharacteristic
474#117×C43C2311yescharacteristic
475#117×C43C2311yescharacteristic
476#117×C43C2311yescharacteristic
477C2×C4⋊C4×C43—21no—
478C2×C4⋊C4×C43C2311yescharacteristic
479C2×C42×C43—21no—
480C2×C42×C43C2311yescharacteristic
481C2×Q8×C43—21no—
482C2×Q8×C43—21no—
483C2×Q8×C43—21no—
484C2×Q8×C43—21no—
485C2×Q8×C43—22no—
486C2×Q8×C43—22no—
487C2×Q8×C43—22no—
488C2×Q8×C43—41no—
489C2×Q8×C43—41no—
490C2×Q8×C43—41no—
491C2×Q8×C43C2×D411yescharacteristic
492C2×Q8×C43C2411yescharacteristic
493C2×Q8×C43C2411yescharacteristic
494C2×Q8×C43C2411yescharacteristic
495C2×Q8×C43C2411yescharacteristic
496C2×D4×C43C2×D411yescharacteristic
497C2×D4×C43C2×D411yescharacteristic
498C2×D4×C43C2×D411yescharacteristic
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43—21no—
502C22×C4×C43—21no—
503C22×C4×C43C2×D411yescharacteristic
504C22×C4×C43C2×D411yescharacteristic
505C22×C4×C43C2411yescharacteristic
506C22×C4×C43C2411yescharacteristic
507C22×C4×C43C2411yescharacteristic
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516#10621898—22no—
517#10621898—22no—
518#10621898—41no—
519#10621898—41no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172C2411yescharacteristic
523C2×D172C2411yescharacteristic
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×Dic86—22no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—41no—
534C2×Dic86C2411yescharacteristic
535C2×Dic86C2411yescharacteristic
536C4⋊C4×C43—21no—
537C4⋊C4×C43—21no—
538C4⋊C4×C43—21no—
539C4⋊C4×C43—21no—
540C4⋊C4×C43—21no—
541C4⋊C4×C43—21no—
542C4⋊C4×C43—21no—
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
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×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43C2×D411yescharacteristic
565C4⋊C4×C43C2×D411yescharacteristic
566C4⋊C4×C43C2×D411yescharacteristic
567C4⋊C4×C43C2×D411yescharacteristic
568C4⋊C4×C43C2×D411yescharacteristic
569C4⋊C4×C43C2×D411yescharacteristic
570C4⋊C4×C43C2×D411yescharacteristic
571C4⋊C4×C43C2×D411yescharacteristic
572C4⋊C4×C43C2×D411yescharacteristic
573C4⋊C4×C43C2×D411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C4⋊C4×C43C2411yescharacteristic
576C4⋊C4×C43C2411yescharacteristic
577C4⋊C4×C43C2411yescharacteristic
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×C43C2×D411yescharacteristic
587C22⋊C4×C43C2×D411yescharacteristic
588C22⋊C4×C43C2×D411yescharacteristic
589C22⋊C4×C43C2×D411yescharacteristic
590C22⋊C4×C43C2×D411yescharacteristic
591C22⋊C4×C43C2×D411yescharacteristic
592C22⋊C4×C43C2×D411yescharacteristic
593C22⋊C4×C43C2×D411yescharacteristic
594C22⋊C4×C43C2×D411yescharacteristic
595C22⋊C4×C43C2×D411yescharacteristic
596C42×C43—21no—
597C42×C43—21no—
598C42×C43—21no—
599C42×C43—21no—
600C42×C43—21no—
601C42×C43—21no—
602C42×C43—21no—
603C42×C43—21no—
604C42×C43—21no—
605C42×C43—21no—
606C42×C43—21no—
607C42×C43—21no—
608C42×C43C2×D411yescharacteristic
609C42×C43C2×D411yescharacteristic
610C42×C43C2411yescharacteristic
611C42×C43C2411yescharacteristic
612C42×C43C2411yescharacteristic
613C42×C43C2411yescharacteristic
614C22⋊Dic43—21no—
615C22⋊Dic43—21no—
616C22⋊Dic43—21no—
617C22⋊Dic43—21no—
618#10621885—22no—
619#10621885—22no—
620#10621885—22no—
621#10621885—22no—
622#10621885—22no—
623#10621885—41no—
624#10621885—41no—
625#10621885#4114yes—
626#10621884—22no—
627#10621884—22no—
628#10621884—22no—
629#10621884—22no—
630#10621884—41no—
631#10621884—41no—
632#10621884—41no—
633#10621884—41no—
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—
641(C2×D43)⋊C4—21no—
642(C2×D43)⋊C4—21no—
643(C2×D43)⋊C4—21no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43C2411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
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—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672#10621877—22no—
673#10621877—22no—
674#10621877—41no—
675#10621877—41no—
676C2×C43⋊C8—22no—
677C2×C43⋊C8—41no—
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C23×C43C22×D411yescharacteristic
687C23×C43C22×D411yescharacteristic
688C23×C43C22×D411yescharacteristic
689C22×D43—21no—
690C22×D43—21no—
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—21no—
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—41no—
699Q8×C43—42no—
700Q8×C43—42no—
701Q8×C43—42no—
702Q8×C43—42no—
703Q8×C43C2×#4112yes—
704D4×C43—41no—
705D4×C43—41no—
706D4×C43—41no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—41no—
722C2×C4×C43—41no—
723C2×C4×C43—42no—
724C2×C4×C43—42no—
725C2×C4×C43—42no—
726C2×C4×C43—42no—
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C22×D411yescharacteristic
735C2×C4×C43C22×D411yescharacteristic
736C2×C4×C43C22×D411yescharacteristic
737C2×C4×C43C22×D411yescharacteristic
738C2×C4×C43C2511yescharacteristic
739C22⋊D43—42no—
740C22⋊D43—42no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C22⋊D43—81no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—42no—
752C2×Dic43—81no—
753D172—21no—
754D172—21no—
755D172—21no—
756D172—21no—
757D172—81no—
758D172—81no—
759C4×D43—42no—
760C4×D43—42no—
761C4×D43—81no—
762C4×D43—81no—
763C4×D43—81no—
764C4×D43—81no—
765Dic86—21no—
766Dic86—21no—
767Dic86—21no—
768Dic86—42no—
769Dic86—81no—
770Dic86C2×#4112yes—
771C43⋊C8—21no—
772C43⋊C8—21no—
773C43⋊C8—21no—
774C43⋊C8—21no—
775C43⋊C8—21no—
776C43⋊C8—21no—
777C43⋊C8—21no—
778C43⋊C8C2×#4112yes—
779#61512—431nomaximal, Sylow
780C22×C43—21no—
781C22×C43—21no—
782C22×C43—21no—
783C22×C43—21no—
784C22×C43—21no—
785C22×C43—21no—
786C22×C43—21no—
787C22×C43—21no—
788C22×C43—21no—
789C22×C43C23×D411yescharacteristic
790C2×D43—41no—
791C2×D43—41no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
796C4×C43—21no—
797C4×C43—21no—
798C4×C43—21no—
799C4×C43—21no—
800C4×C43—21no—
801C4×C43—21no—
802C4×C43—21no—
803C4×C43—21no—
804C4×C43—21no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—22no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43C22×#4111yescharacteristic
816C4×C43#58511yescharacteristic
817Dic43—22no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823#3524—431no—
824#3523D4311yescharacteristic, complemented
825#3400—431no—
826#3390—431no—
827#3374—431no—
828#3371—431no—
829#3352—431no—
830#3350—431no—
831#3348—431no—
832#3329—431no—
833#3327—431no—
834#3320—431no—
835#3317—431no—
836#3313—431no—
837#3312—431no—
838#3278—431no—
839#3270—431no—
840#3270—431no—
841#3178—431no—
842#3174—431no—
843#3172—431no—
844#3127—431no—
845#3126—431no—
846#3121—431no—
847#3120—431no—
848#3117—431no—
849#3116—431no—
850#2967—431no—
851#2950—431no—
852#2947—431no—
853C4×#137—431no—
854C2×C43—41no—
855C2×C43—41no—
856C2×C43—41no—
857C2×C43D4×#4111yescharacteristic
858C2×C43#358611yescharacteristic
859C2×C43#358611yescharacteristic
860D43—81no—
861D43—81no—
862C2×#137—431no—
863C2×#137—431no—
864C22×Q16—431no—
865#559—431no—
866#559—861no—
867#557—21no—
868#557—431no—
869#557C2×D4311yescharacteristic
870#557C2×D4311yescharacteristic
871#556—21no—
872#556C2×D4311yescharacteristic
873#555—431no—
874#555—861no—
875#553—431no—
876#553—861no—
877#552—21no—
878#552—21no—
879#552—431no—
880#552—861no—
881#552C2×D4311yescharacteristic
882#552C2×D4311yescharacteristic
883#550—431no—
884D4×Q8C2×D4311yescharacteristic
885D4×Q8C2×D4311yescharacteristic
886D4×Q8C2×D4311yescharacteristic
887#548—431no—
888#548—431no—
889#542—431no—
890#542—861no—
891#541—21no—
892#541—21no—
893#541C2×D4311yescharacteristic
894#541C2×D4311yescharacteristic
895#540—431no—
896#540—861no—
897#533—21no—
898#533C2×D4311yescharacteristic
899#529—21no—
900#529—431no—
901#529—861no—
902#529—861no—
903#529C2×D4311yescharacteristic
904#520—431no—
905#519—431no—
906#519C2×D4311yescharacteristic
907#519C2×D4311yescharacteristic
908C4×#41—431no—
909C2×C4×Q8C2×D4311yescharacteristic
910#501—431no—
911#501—431no—
912#499—431no—
913#497—431no—
914#497—431no—
915#492—431no—
916#491—431no—
917#491—431no—
918#490—431no—
919#489—431no—
920#488—431no—
921#487—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485—431no—
926#485—431no—
927#484—431no—
928#484—431no—
929#483—431no—
930#482—431no—
931#482—431no—
932#482—431no—
933#481—431no—
934#479—431no—
935#479—431no—
936#479—431no—
937#479—431no—
938#479—431no—
939#479—431no—
940#479—431no—
941#478—431no—
942#477—431no—
943#477—431no—
944#476—431no—
945#475—431no—
946#470—431no—
947#470—431no—
948#470—431no—
949#468—431no—
950#468—431no—
951#468—431no—
952#468—431no—
953#468—431no—
954#467—431no—
955#465—431no—
956#465—431no—
957#465—431no—
958#464—431no—
959#464—431no—
960#464—431no—
961#464—431no—
962#462—431no—
963#462—431no—
964#462—431no—
965#462—431no—
966#461—431no—
967#461—431no—
968#460—431no—
969#460—431no—
970#452—431no—
971#452—431no—
972#452—431no—
973#452—431no—
974#451—431no—
975#451—431no—
976#451—431no—
977#451—431no—
978#448—431no—
979#448—431no—
980#448—431no—
981#448—431no—
982#446—431no—
983#446—431no—
984#441—431no—
985#441—431no—
986#441—431no—
987#441—431no—
988#441—431no—
989#441—431no—
990#441—431no—
991#441—431no—
992#441—431no—
993#440—431no—
994#440—431no—
995#440—431no—
996#440—431no—
997#440—431no—
998#440—431no—
999#440—431no—
1000C4×Q16—431no—
1001C4×Q16—431no—
1002C4×Q16—431no—
1003C4×Q16—431no—
1004C4×Q16—431no—
1005C4×Q16—431no—
1006C4×Q16—431no—
1007C4×SD16—431no—
1008C4×SD16—431no—
1009C4×SD16—431no—
1010C4×SD16—431no—
1011C4×SD16—431no—
1012#436—431no—
1013#436—431no—
1014#435—431no—
1015#435—431no—
1016#435—431no—
1017#435—431no—
1018#433—431no—
1019#433—431no—
1020#432—431no—
1021#428—431no—
1022#428—431no—
1023#427—431no—
1024#419—431no—
1025#419—431no—
1026#419—431no—
1027#417—431no—
1028#416—431no—
1029C2×#103—431no—
1030#405—431no—
1031#405—431no—
1032C4×M16—431no—
1033C43#6151211yescharacteristic, complemented, Sylow
1034C2×#41—431no—
1035C2×#41—431no—
1036C22×Q8—431no—
1037C22×Q8C22×D4311yescharacteristic
1038C22×Q8C22×D4311yescharacteristic
1039C22×Q8C22×D4311yescharacteristic
1040#137—864no—
1041#137—864no—
1042C2×Q16—431no—
1043C2×Q16—431no—
1044C2×Q16—431no—
1045C2×Q16—431no—
1046C2×Q16—431no—
1047C2×Q16—431no—
1048C2×Q16—431no—
1049C2×Q16—431no—
1050C2×Q16—864no—
1051C2×SD16—431no—
1052C2×SD16—431no—
1053C2×SD16—431no—
1054C2×SD16—431no—
1055C2×SD16—431no—
1056C2×SD16—431no—
1057C2×SD16—431no—
1058C2×SD16—431no—
1059C2×M16—431no—
1060C2×M16—431no—
1061C2×M16—431no—
1062C2×M16—431no—
1063C22×C8—431no—
1064C22×C8—431no—
1065C4⋊Q8—21no—
1066C4⋊Q8—21no—
1067C4⋊Q8—21no—
1068C4⋊Q8—21no—
1069C4⋊Q8—431no—
1070C4⋊Q8—861no—
1071C4⋊Q8C22×D4311yescharacteristic
1072C4⋊Q8C22×D4311yescharacteristic
1073C4⋊Q8C22×D4311yescharacteristic
1074C4⋊Q8C22×D4311yescharacteristic
1075#127—431no—
1076#127—861no—
1077#126—21no—
1078#126—21no—
1079#126—21no—
1080#126—21no—
1081#126—21no—
1082#126—21no—
1083#126—21no—
1084#126—21no—
1085#126—861no—
1086#126—861no—
1087#126—861no—
1088#126—861no—
1089#126C22⋊D4311yescharacteristic
1090#126C22⋊D4311yescharacteristic
1091#125—21no—
1092#125—21no—
1093#125—21no—
1094#125—21no—
1095#125—21no—
1096#125—21no—
1097#125—21no—
1098#125—21no—
1099#125—21no—
1100#125—21no—
1101#125—21no—
1102#125—21no—
1103#125—431no—
1104#125—431no—
1105#125—861no—
1106#125—861no—
1107#125—861no—
1108#125C22⋊D4311yescharacteristic
1109#125C22×D4311yescharacteristic
1110#125C22×D4311yescharacteristic
1111#124—21no—
1112#124—431no—
1113#124—431no—
1114#124—861no—
1115#124—861no—
1116#124—861no—
1117#124—861no—
1118#124—861no—
1119#124—861no—
1120#124C22⋊D4311yescharacteristic
1121#123—21no—
1122#123—21no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128#123—861no—
1129#123—861no—
1130#123—861no—
1131#123C22⋊D4311yescharacteristic
1132#123C22⋊D4311yescharacteristic
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—431no—
1141C22⋊Q8—431no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8C22⋊D4311yescharacteristic
1146C22⋊Q8C22×D4311yescharacteristic
1147C22⋊Q8C22×D4311yescharacteristic
1148C22⋊Q8C22×D4311yescharacteristic
1149C22⋊Q8C22×D4311yescharacteristic
1150C22⋊Q8C22×D4311yescharacteristic
1151C22⋊Q8C22×D4311yescharacteristic
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—431no—
1156#121—861no—
1157#121—861no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121C22⋊D4311yescharacteristic
1165C4×Q8—21no—
1166C4×Q8—21no—
1167C4×Q8—21no—
1168C4×Q8—21no—
1169C4×Q8—21no—
1170C4×Q8—21no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—21no—
1174C4×Q8—21no—
1175C4×Q8—431no—
1176C4×Q8—431no—
1177C4×Q8—431no—
1178C4×Q8—431no—
1179C4×Q8—431no—
1180C4×Q8—431no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8C22×D4311yescharacteristic
1185C4×Q8C22×D4311yescharacteristic
1186C4×Q8C22×D4311yescharacteristic
1187C4×Q8C22×D4311yescharacteristic
1188C4×Q8C22×D4311yescharacteristic
1189C4×Q8C22×D4311yescharacteristic
1190C4×Q8C22×D4311yescharacteristic
1191C4×Q8C22×D4311yescharacteristic
1192C4×Q8C22×D4311yescharacteristic
1193C4×Q8C22×D4311yescharacteristic
1194C4×Q8C22×D4311yescharacteristic
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—431no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4C22×D4311yescharacteristic
1213C4×D4C22×D4311yescharacteristic
1214C4×D4C22×D4311yescharacteristic
1215#117—21no—
1216#117—21no—
1217#117—21no—
1218#117—21no—
1219#117—21no—
1220#117—21no—
1221#117—21no—
1222#117—431no—
1223#117—431no—
1224#117—861no—
1225#117—861no—
1226#117—861no—
1227#117—861no—
1228#117—861no—
1229#117—861no—
1230#117—861no—
1231#117C22×D4311yescharacteristic
1232#117C22×D4311yescharacteristic
1233#117C22×D4311yescharacteristic
1234#117C22×D4311yescharacteristic
1235C2×C4⋊C4—21no—
1236C2×C4⋊C4—431no—
1237C2×C4⋊C4—861no—
1238C2×C4⋊C4C22×D4311yescharacteristic
1239C2×C42—21no—
1240C2×C42—861no—
1241C2×C42C22×D4311yescharacteristic
1242#107—431no—
1243#107—431no—
1244#107—431no—
1245#107—431no—
1246#107—431no—
1247#107—431no—
1248#107—431no—
1249#107—431no—
1250#106—431no—
1251#106—431no—
1252#106—431no—
1253#106—431no—
1254#106—431no—
1255#106—431no—
1256#106—431no—
1257#106—431no—
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264#103—431no—
1265#103—431no—
1266#103—431no—
1267#103—431no—
1268#103—431no—
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103—431no—
1280#103—431no—
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102—431no—
1295#102—431no—
1296C22⋊C8—431no—
1297C22⋊C8—431no—
1298C22⋊C8—431no—
1299C22⋊C8—431no—
1300C22⋊C8—431no—
1301C22⋊C8—431no—
1302#97—431no—
1303#97—431no—
1304#97—431no—
1305#97—431no—
1306#97—431no—
1307#97—431no—
1308C4×C8—431no—
1309C4×C8—431no—
1310C4×C8—431no—
1311C4×C8—431no—
1312#41—862no—
1313#41—862no—
1314#41—1721no—
1315#41—1721no—
1316C2×Q8—21no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—21no—
1320C2×Q8—22no—
1321C2×Q8—22no—
1322C2×Q8—22no—
1323C2×Q8—41no—
1324C2×Q8—41no—
1325C2×Q8—41no—
1326C2×Q8—431no—
1327C2×Q8—431no—
1328C2×Q8—862no—
1329C2×Q8—861no—
1330C2×Q8—861no—
1331C2×Q8—1721no—
1332C2×Q8C2×C22⋊D4311yescharacteristic
1333C2×Q8C23×D4311yescharacteristic
1334C2×Q8C23×D4311yescharacteristic
1335C2×Q8C23×D4311yescharacteristic
1336C2×Q8C23×D4311yescharacteristic
1337C2×D4—431no—
1338C2×D4—431no—
1339C2×D4—861no—
1340C2×D4—861no—
1341C2×D4—861no—
1342C2×D4—861no—
1343C2×D4—861no—
1344C2×D4—861no—
1345C2×D4—861no—
1346C2×D4—861no—
1347C2×D4C2×C22⋊D4311yescharacteristic
1348C2×D4C2×C22⋊D4311yescharacteristic
1349C2×D4C2×C22⋊D4311yescharacteristic
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—861no—
1355C22×C4—861no—
1356C22×C4—861no—
1357C22×C4—861no—
1358C22×C4—861no—
1359C22×C4—861no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4C2×C22⋊D4311yescharacteristic
1363C22×C4C2×C22⋊D4311yescharacteristic
1364C22×C4C23×D4311yescharacteristic
1365C22×C4C23×D4311yescharacteristic
1366C22×C4C23×D4311yescharacteristic
1367Q16—434no—
1368Q16—862no—
1369Q16—862no—
1370Q16—862no—
1371Q16—862no—
1372Q16—862no—
1373Q16—1721no—
1374Q16—1721no—
1375SD16—862no—
1376SD16—862no—
1377SD16—862no—
1378SD16—862no—
1379SD16—1721no—
1380SD16—1721no—
1381SD16—1721no—
1382SD16—1721no—
1383M16—862no—
1384M16—862no—
1385M16—1721no—
1386M16—1721no—
1387C2×C8—431no—
1388C2×C8—431no—
1389C2×C8—431no—
1390C2×C8—431no—
1391C2×C8—431no—
1392C2×C8—431no—
1393C2×C8—431no—
1394C2×C8—431no—
1395C2×C8—862no—
1396C2×C8—1721no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4C2×C22⋊D4311yescharacteristic
1444C4⋊C4C2×C22⋊D4311yescharacteristic
1445C4⋊C4C2×C22⋊D4311yescharacteristic
1446C4⋊C4C2×C22⋊D4311yescharacteristic
1447C4⋊C4C2×C22⋊D4311yescharacteristic
1448C4⋊C4C2×C22⋊D4311yescharacteristic
1449C4⋊C4C2×C22⋊D4311yescharacteristic
1450C4⋊C4C2×C22⋊D4311yescharacteristic
1451C4⋊C4C2×C22⋊D4311yescharacteristic
1452C4⋊C4C2×C22⋊D4311yescharacteristic
1453C4⋊C4C23×D4311yescharacteristic
1454C4⋊C4C23×D4311yescharacteristic
1455C4⋊C4C23×D4311yescharacteristic
1456C4⋊C4C23×D4311yescharacteristic
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4C2×C22⋊D4311yescharacteristic
1482C22⋊C4C2×C22⋊D4311yescharacteristic
1483C22⋊C4C2×C22⋊D4311yescharacteristic
1484C22⋊C4C2×C22⋊D4311yescharacteristic
1485C22⋊C4C2×C22⋊D4311yescharacteristic
1486C22⋊C4C2×C22⋊D4311yescharacteristic
1487C22⋊C4C2×C22⋊D4311yescharacteristic
1488C22⋊C4C2×C22⋊D4311yescharacteristic
1489C22⋊C4C2×C22⋊D4311yescharacteristic
1490C22⋊C4C2×C22⋊D4311yescharacteristic
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—21no—
1498C42—21no—
1499C42—21no—
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—861no—
1504C42—861no—
1505C42—861no—
1506C42—861no—
1507C42—861no—
1508C42—861no—
1509C42—861no—
1510C42—861no—
1511C42C2×C22⋊D4311yescharacteristic
1512C42C2×C22⋊D4311yescharacteristic
1513C42C23×D4311yescharacteristic
1514C42C23×D4311yescharacteristic
1515C42C23×D4311yescharacteristic
1516C42C23×D4311yescharacteristic
1517C23—861no—
1518C23—861no—
1519C23C22×C22⋊D4311yescharacteristic
1520C23C22×C22⋊D4311yescharacteristic
1521C23C22×C22⋊D4311yescharacteristic
1522Q8—21no—
1523Q8—21no—
1524Q8—21no—
1525Q8—21no—
1526Q8—21no—
1527Q8—21no—
1528Q8—21no—
1529Q8—41no—
1530Q8—42no—
1531Q8—42no—
1532Q8—42no—
1533Q8—42no—
1534Q8—432no—
1535Q8—861no—
1536Q8—861no—
1537Q8—861no—
1538Q8—3441no—
1539Q8—1722no—
1540Q8#41×D4312yes—
1541D4—41no—
1542D4—41no—
1543D4—41no—
1544D4—861no—
1545D4—861no—
1546D4—861no—
1547D4—861no—
1548D4—3441no—
1549D4—3441no—
1550D4—3441no—
1551D4—3441no—
1552D4—3441no—
1553D4—3441no—
1554D4—1722no—
1555D4—1722no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—42no—
1573C2×C4—42no—
1574C2×C4—42no—
1575C2×C4—42no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—861no—
1580C2×C4—861no—
1581C2×C4—861no—
1582C2×C4—3441no—
1583C2×C4—3441no—
1584C2×C4—3441no—
1585C2×C4—3441no—
1586C2×C4—3441no—
1587C2×C4—1722no—
1588C2×C4—1722no—
1589C2×C4—1722no—
1590C2×C4C22×C22⋊D4311yescharacteristic
1591C2×C4C22×C22⋊D4311yescharacteristic
1592C2×C4C22×C22⋊D4311yescharacteristic
1593C2×C4C22×C22⋊D4311yescharacteristic
1594C2×C4C22×C22⋊D4311yescharacteristic
1595C2×C4C22×C22⋊D4311yescharacteristic
1596C2×C4C22×C22⋊D4311yescharacteristic
1597C2×C4C22×C22⋊D4311yescharacteristic
1598C2×C4C22×C22⋊D4311yescharacteristic
1599C2×C4C22×C22⋊D4311yescharacteristic
1600C2×C4C22×C22⋊D4311yescharacteristic
1601C2×C4C24×D4311yescharacteristic
1602C8—432no—
1603C8—861no—
1604C8—861no—
1605C8—861no—
1606C8—861no—
1607C8—861no—
1608C8—861no—
1609C8—861no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—21no—
1618C22—21no—
1619C22—1721no—
1620C22—1721no—
1621C22—1721no—
1622C22—1721no—
1623C22—1721no—
1624C22—1721no—
1625C22C23×C22⋊D4311yescharacteristic
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—22no—
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—862no—
1646C4—1721no—
1647C4—1721no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4C2×#41×D4311yescharacteristic
1652C4#1458373511yescharacteristic
1653C2—41no—
1654C2—41no—
1655C2—41no—
1656C2—3441no—
1657C2—3441no—
1658C2#41×C22⋊D4311yescharacteristic
1659C2#1914938211yescharacteristic
1660C2#1914938211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3523C2
socleC22×C43C23×D4
prime radical#19148700C2
hypercenter#3523D43
hypocenterC43#61512
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #529 ◁ #3523

Complements

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

NH ≅ G/Ntype
2. #19147644C2semidirect
3. #19147558C2semidirect
4. #19147394C2semidirect
5. #19147363C2semidirect
6. #19147164C2semidirect
7. #19147140C2semidirect
8. #19147104C2semidirect
9. #19146889C2semidirect
10. #19146857C2semidirect
11. #19146766C2semidirect
12. #19146715C2semidirect
13. #19146655C2semidirect
14. #19146646C2semidirect
15. #19146257C2semidirect
16. #19146166C2semidirect
17. #19146166C2semidirect
18. #19145265C2semidirect
19. #19145224C2semidirect
20. #19145195C2semidirect
21. #19144890C2semidirect
22. #19144886C2semidirect
23. #19144824C2semidirect
24. #19144803C2semidirect
25. #19144766C2semidirect
26. #19144751C2semidirect
27. #19143582C2semidirect
28. #19143461C2semidirect
29. #19143438C2semidirect
30. C4×#13063356C2semidirect
31. C43×#3523C2semidirect
824. #3523D43semidirect
1033. C43#61512semidirect

Maximal subgroups

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

subgroupindex
#191487002
#191476442
#191475582
#191473942
#191473632
#191471642
#191471402
#191471042
#191468892
#191468572
#191467662
#191467152
#191466552
#191466462
#191462572
#191461662
#191452652
#191452242
#191451952
#191448902
#191448862
#191448242
#191448032
#191447662
#191447512
#191435822
#191434612
#191434382
C4×#130633562
C43×#35232
#6151243