Finite Group Databasebeta

← #25968941

Subgroups — #25968941

Order 11008.

1686 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#544×D43C211yesmaximal, characteristic, complemented
2#19147982C211yesmaximal, characteristic
3#19145895C211yesmaximal, characteristic, complemented
4#19145893C211yesmaximal, characteristic, complemented
5#19145888C211yesmaximal, characteristic, complemented
6#19145886C211yesmaximal, characteristic, complemented
7#19145881C211yesmaximal, characteristic, complemented
8#19145879C211yesmaximal, characteristic, complemented
9#19145872C211yesmaximal, characteristic, complemented
10#19145869C211yesmaximal, characteristic, complemented
11#19145867C211yesmaximal, characteristic, complemented
12#19145862C211yesmaximal, characteristic, complemented
13#19145860C211yesmaximal, characteristic, complemented
14#19145855C211yesmaximal, characteristic, complemented
15#19145853C211yesmaximal, characteristic, complemented
16#19145846C211yesmaximal, characteristic, complemented
17#19145844C211yesmaximal, characteristic, complemented
18#19145146C211yesmaximal, characteristic, complemented
19#19145138C211yesmaximal, characteristic, complemented
20#19144992C211yesmaximal, characteristic, complemented
21#19144987C211yesmaximal, characteristic, complemented
22#19144527C211yesmaximal, characteristic, complemented
23#19144523C211yesmaximal, characteristic, complemented
24#19144522C211yesmaximal, characteristic, complemented
25#19144514C211yesmaximal, characteristic, complemented
26#19144414C211yesmaximal, characteristic, complemented
27#19144412C211yesmaximal, characteristic, complemented
28#19144409C211yesmaximal, characteristic, complemented
29#19144403C211yesmaximal, characteristic, complemented
30#19143229C211yesmaximal, characteristic, complemented
31C43×#3243C211yesmaximal, characteristic, complemented
32#14583530C2211yescharacteristic
33#14583529—21no—
34#14583529C2211yescharacteristic
35#14583529C2211yescharacteristic
36#14583528—21no—
37#14583528—21no—
38#14583527C2211yescharacteristic
39#14583527C2211yescharacteristic
40#14583526—21no—
41#14583526C2211yescharacteristic
42#14583526C2211yescharacteristic
43#14583523C2211yescharacteristic
44#14583520C2211yescharacteristic
45#14583518C2211yescharacteristic
46#14583509C2211yescharacteristic
47#14583507C2211yescharacteristic
48#14583502C2211yescharacteristic
49#14583500C2211yescharacteristic
50#14583495—21no—
51#14583490—21no—
52#14583485—21no—
53#14583483—21no—
54#14583454C2211yescharacteristic
55#14583448C2211yescharacteristic
56C4⋊Q8×D43—21no—
57C4⋊Q8×D43C2211yescharacteristic
58C4⋊Q8×D43C2211yescharacteristic
59#14583435—21no—
60#14583432—21no—
61#14583428—21no—
62#14583426—21no—
63#125×D43—21no—
64#125×D43C2211yescharacteristic
65#125×D43C2211yescharacteristic
66#14583412C2211yescharacteristic
67#14583409C2211yescharacteristic
68C22⋊Q8×D43—21no—
69C22⋊Q8×D43—21no—
70C4×#10621902C2211yescharacteristic
71C4×#10621900C2211yescharacteristic
72#117×D43C2211yescharacteristic
73#117×D43C2211yescharacteristic
74C2×C4⋊C4×D43C2211yescharacteristic
75#14583309C2211yescharacteristic, complemented
76#14583308C2211yescharacteristic, complemented
77#14583307C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583307C2211yescharacteristic, complemented
81#14583305C2211yescharacteristic, complemented
82#14583302C2211yescharacteristic, complemented
83#14583300C2211yescharacteristic, complemented
84#14583300C2211yescharacteristic, complemented
85#14583299C2211yescharacteristic, complemented
86#14583299C2211yescharacteristic, complemented
87#14583297C2211yescharacteristic, complemented
88#14583295C2211yescharacteristic, complemented
89#14583266C2211yescharacteristic, complemented
90#14583266C2211yescharacteristic, complemented
91#14583262C2211yescharacteristic, complemented
92#14583262C2211yescharacteristic, complemented
93#14583261C2211yescharacteristic, complemented
94#14583259C2211yescharacteristic, complemented
95#14583258C2211yescharacteristic, complemented
96#14583256C2211yescharacteristic, complemented
97#14583254C2211yescharacteristic, complemented
98#14583253C2211yescharacteristic, complemented
99#14583248C2211yescharacteristic, complemented
100#14583248C2211yescharacteristic, complemented
101#14583244C2211yescharacteristic, complemented
102#14583244C2211yescharacteristic, complemented
103#14583243C2211yescharacteristic
104#14583242C2211yescharacteristic
105#14583241C2211yescharacteristic
106#14583240C2211yescharacteristic
107#14583239C2211yescharacteristic
108#14583238C2211yescharacteristic
109#14583237C2211yescharacteristic
110#14583236C2211yescharacteristic
111#14583236C2211yescharacteristic
112#14583232C2211yescharacteristic
113#14583230C2211yescharacteristic
114#14583229C2211yescharacteristic
115#14583228C2211yescharacteristic
116#14583228C2211yescharacteristic
117#14583226C2211yescharacteristic
118#14583225C2211yescharacteristic
119#14583224C2211yescharacteristic
120#14583223C2211yescharacteristic
121#14583222C2211yescharacteristic
122#14583221C2211yescharacteristic
123#14583220C2211yescharacteristic
124#14583218C2211yescharacteristic
125#14583217C2211yescharacteristic
126#14583216C2211yescharacteristic
127#14583216C2211yescharacteristic
128#14583214C2211yescharacteristic
129#14583214C2211yescharacteristic
130#14583210C2211yescharacteristic
131#14583209C2211yescharacteristic, complemented
132#14583208C2211yescharacteristic, complemented
133#14583207C2211yescharacteristic, complemented
134#14583206C2211yescharacteristic, complemented
135#14583205C2211yescharacteristic, complemented
136#14583204C2211yescharacteristic, complemented
137#14583203C2211yescharacteristic, complemented
138#14583202C2211yescharacteristic, complemented
139#14583201C2211yescharacteristic, complemented
140#14583200C2211yescharacteristic, complemented
141#14583199C2211yescharacteristic, complemented
142#14583198C2211yescharacteristic, complemented
143#14583197C2211yescharacteristic, complemented
144#14583196C2211yescharacteristic, complemented
145#14583194C2211yescharacteristic, complemented
146#14583193C2211yescharacteristic, complemented
147#14583193C2211yescharacteristic, complemented
148#14583190C2211yescharacteristic, complemented
149#14583187C2211yescharacteristic, complemented
150#14583187C2211yescharacteristic, complemented
151#14583186C2211yescharacteristic, complemented
152#14583185C2211yescharacteristic, complemented
153#14583182C2211yescharacteristic, complemented
154#14583182C2211yescharacteristic, complemented
155#14583181C2211yescharacteristic, complemented
156#14583179C2211yescharacteristic, complemented
157#14583178C2211yescharacteristic, complemented
158#14583178C2211yescharacteristic, complemented
159#14582961C2211yescharacteristic
160#14582960C2211yescharacteristic
161#14582959C2211yescharacteristic
162#14582959C2211yescharacteristic
163#14582958C2211yescharacteristic
164#14582957C2211yescharacteristic
165#14582957C2211yescharacteristic
166#14582940C2211yescharacteristic
167#14582940C2211yescharacteristic
168#14582940C2211yescharacteristic
169#14582940C2211yescharacteristic
170#14582940C2211yescharacteristic
171#14582940C2211yescharacteristic
172#14582938C2211yescharacteristic
173#14582938C2211yescharacteristic
174#14582921C2211yescharacteristic
175#14582921C2211yescharacteristic
176#14582899C2211yescharacteristic
177#14582899C2211yescharacteristic
178#14582899C2211yescharacteristic
179#14582899C2211yescharacteristic
180#14582897C2211yescharacteristic
181#14582897C2211yescharacteristic
182#14582897C2211yescharacteristic
183#14582897C2211yescharacteristic
184#14582861C2211yescharacteristic
185#14582861C2211yescharacteristic
186#14582851C2211yescharacteristic
187C4×#10621872C2211yescharacteristic
188C43×#544C2211yescharacteristic
189C43×#542C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#500C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic, complemented
193C43×#488C2211yescharacteristic, complemented
194C43×#485C2211yescharacteristic
195C43×#484C2211yescharacteristic
196C43×#482C2211yescharacteristic
197C43×#480C2211yescharacteristic
198C43×#479C2211yescharacteristic, complemented
199C43×#478C2211yescharacteristic, complemented
200C43×#477C2211yescharacteristic, complemented
201C43×#474C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C2×Q8×D43—21no—
206C2×Q8×D43—21no—
207C22×C4×D43—21no—
208C22×C4×D43C2311yescharacteristic
209C2×#10621872C2311yescharacteristic
210C2×#10621872C2311yescharacteristic
211C2×#10621872C2311yescharacteristic
212C2×#10621872C2311yescharacteristic
213#13063325—21no—
214#13063325C2311yescharacteristic
215#13063325C2311yescharacteristic
216#13063325C2311yescharacteristic
217#13063324—21no—
218#13063324—21no—
219#13063324—21no—
220#13063324—21no—
221#13063324—21no—
222#13063324—21no—
223#13063324C2311yescharacteristic
224#13063324C2311yescharacteristic
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063323—21no—
228#13063323—21no—
229#13063323—21no—
230#13063323—21no—
231#13063323C2311yescharacteristic
232#13063321C2311yescharacteristic
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063319—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063317—21no—
241#13063317—21no—
242#13063317C2311yescharacteristic
243#13063317C2311yescharacteristic
244#13063316—21no—
245#13063316—21no—
246#13063316—21no—
247#13063316C2311yescharacteristic
248#13063316C2311yescharacteristic
249#13063316C2311yescharacteristic
250#13063316C2311yescharacteristic
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063315—21no—
263#13063314—21no—
264#13063313C2311yescharacteristic
265#13063311—21no—
266#13063311—21no—
267#13063310—21no—
268#13063310—21no—
269#13063309—21no—
270#13063309—21no—
271#13063308—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307—21no—
276#13063305—21no—
277#13063305—21no—
278#13063305—21no—
279#13063305C2311yescharacteristic
280#13063304—21no—
281#13063304—21no—
282#13063304C2311yescharacteristic
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303—21no—
288#13063302—21no—
289#13063302—21no—
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063301—21no—
294#13063301—21no—
295#13063301—21no—
296#13063301—21no—
297#13063301C2311yescharacteristic
298#13063300C2311yescharacteristic
299#13063299—21no—
300#13063299C2311yescharacteristic
301#13063298—21no—
302#13063298—21no—
303#13063298—21no—
304#13063297—21no—
305#13063296—21no—
306#13063296C2311yescharacteristic
307#13063295—21no—
308#13063293—21no—
309Q8×Dic43—21no—
310Q8×Dic43C2311yescharacteristic
311C4×Dic86C2311yescharacteristic
312#13063290—21no—
313#13063290C2311yescharacteristic
314C4×D172—21no—
315C4×D172C2311yescharacteristic
316D4×Dic43—21no—
317D4×Dic43C2311yescharacteristic
318#13063287—21no—
319#13063287—21no—
320#13063287C2311yescharacteristic
321C4×C22⋊D43—21no—
322(C22⋊D43)⋊C4—21no—
323(C22⋊D43)⋊C4—21no—
324(C22⋊D43)⋊C4—21no—
325(C22⋊D43)⋊C4—21no—
326(C22⋊D43)⋊C4—21no—
327#13063284C2311yescharacteristic
328#13063284C2311yescharacteristic
329#13063283—21no—
330#13063283D411yescharacteristic
331#13063283D411yescharacteristic
332#13063283C2311yescharacteristic
333#13063283C2311yescharacteristic
334#13063283C2311yescharacteristic
335#13063283C2311yescharacteristic
336#13063282—21no—
337#13063282C2311yescharacteristic
338#13063282C2311yescharacteristic
339#13063281—21no—
340#13063281—21no—
341#13063281D411yescharacteristic
342#13063281D411yescharacteristic
343C2×C4⋊Dic43C2311yescharacteristic
344C2×Dic43⋊C4—21no—
345C4⋊C4×D43—21no—
346C4⋊C4×D43—21no—
347C4⋊C4×D43—21no—
348C4⋊C4×D43—21no—
349C4⋊C4×D43—21no—
350C4⋊C4×D43—21no—
351C4⋊C4×D43—21no—
352C4⋊C4×D43—21no—
353C4⋊C4×D43D411yescharacteristic
354C4⋊C4×D43D411yescharacteristic
355C4⋊C4×D43C2311yescharacteristic
356C4⋊C4×D43C2311yescharacteristic
357C4⋊C4×D43C2311yescharacteristic
358C4⋊C4×D43C2311yescharacteristic
359C4⋊C4×D43C2311yescharacteristic
360C4⋊C4×D43C2311yescharacteristic
361C22⋊C4×D43—21no—
362C22⋊C4×D43D411yescharacteristic
363C22⋊C4×D43D411yescharacteristic
364C2×C4×Dic43—21no—
365C42×D43—21no—
366C42×D43—21no—
367C42×D43C2311yescharacteristic
368C42×D43C2311yescharacteristic
369#13063259C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063258C2311yescharacteristic
372#13063258C2311yescharacteristic
373#13063258C2311yescharacteristic
374#13063258C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063257C2311yescharacteristic
380#13063257C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C4⋊Q8×C43—21no—
436C4⋊Q8×C43C2311yescharacteristic
437C4⋊Q8×C43C2311yescharacteristic
438C4⋊Q8×C43C2311yescharacteristic
439#126×C43—21no—
440#125×C43—21no—
441#125×C43C2311yescharacteristic
442#125×C43C2311yescharacteristic
443#124×C43—21no—
444#124×C43C2311yescharacteristic
445#123×C43—21no—
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×D4×C43C2311yescharacteristic
453#117×C43C2311yescharacteristic
454#117×C43C2311yescharacteristic
455C2×C4⋊C4×C43C2311yescharacteristic
456#107×C43C2311yescharacteristic
457#107×C43C2311yescharacteristic
458#107×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43C2×D411yescharacteristic
479C2×Q8×C43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43—21no—
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43C2411yescharacteristic
485C22×C4×C43—21no—
486C22×C4×C43—21no—
487C22×C4×C43C2411yescharacteristic
488C2×C22⋊D43—21no—
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C22×Dic43—21no—
494C22×Dic43—21no—
495C22×Dic43—21no—
496C22×Dic43C2×D411yescharacteristic
497#10621902—22no—
498#10621902—22no—
499Q8×D43—82no—
500Q8×D43—82no—
501#10621900—22no—
502#10621900—22no—
503C2×D172—21no—
504C2×D172—21no—
505C2×D172C2411yescharacteristic
506C2×C4×D43—22no—
507C2×C4×D43—22no—
508C2×C4×D43—21no—
509C2×C4×D43—21no—
510C2×C4×D43—21no—
511C2×C4×D43—21no—
512C2×C4×D43—21no—
513C2×C4×D43—21no—
514C2×C4×D43—21no—
515C2×C4×D43—21no—
516C2×C4×D43—21no—
517C2×C4×D43—82no—
518C2×C4×D43C2×D411yescharacteristic
519C2×C4×D43C2×D411yescharacteristic
520C2×C4×D43C2×D411yescharacteristic
521C2×C4×D43C2×D411yescharacteristic
522C2×C4×D43C2×D411yescharacteristic
523C2×C4×D43C2×D411yescharacteristic
524C2×C4×D43C2411yescharacteristic
525C2×C4×D43C2411yescharacteristic
526C2×Dic86—21no—
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86C2411yescharacteristic
534C2×C8×C43C2411yescharacteristic
535C2×C8×C43C2411yescharacteristic
536C2×C8×C43C2411yescharacteristic
537C2×C8×C43C2411yescharacteristic
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×C43C2×D411yescharacteristic
549C4⋊C4×C43C2×D411yescharacteristic
550C4⋊C4×C43C2411yescharacteristic
551C4⋊C4×C43C2411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C22⋊C4×C43—21no—
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43C2×D411yescharacteristic
563C22⋊C4×C43C2×D411yescharacteristic
564C42×C43—21no—
565C42×C43—21no—
566C42×C43C2411yescharacteristic
567C42×C43C2411yescharacteristic
568C22⋊Dic43—21no—
569C22⋊Dic43—21no—
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572C22⋊Dic43C2×D411yescharacteristic
573C22⋊Dic43C2×D411yescharacteristic
574(C2×D43)⋊C4—21no—
575(C2×D43)⋊C4—21no—
576(C2×D43)⋊C4—21no—
577(C2×D43)⋊C4—21no—
578(C2×D43)⋊C4—21no—
579(C2×D43)⋊C4—21no—
580(C2×D43)⋊C4—21no—
581(C2×D43)⋊C4—21no—
582(C2×D43)⋊C4—21no—
583(C2×D43)⋊C4—21no—
584(C2×D43)⋊C4—21no—
585(C2×D43)⋊C4—21no—
586(C2×D43)⋊C4C2×D411yescharacteristic
587(C2×D43)⋊C4C2×D411yescharacteristic
588(C2×D43)⋊C4C2×D411yescharacteristic
589(C2×D43)⋊C4C2×D411yescharacteristic
590C4⋊Dic43—21no—
591C4⋊Dic43—21no—
592C4⋊Dic43—21no—
593C4⋊Dic43—21no—
594C4⋊Dic43—21no—
595C4⋊Dic43—21no—
596C4⋊Dic43—21no—
597C4⋊Dic43—21no—
598C4⋊Dic43—21no—
599C4⋊Dic43—21no—
600C4⋊Dic43—21no—
601C4⋊Dic43—21no—
602C4⋊Dic43C2×D411yescharacteristic
603C4⋊Dic43C2×D411yescharacteristic
604C4⋊Dic43C2411yescharacteristic
605C4⋊Dic43C2411yescharacteristic
606C4⋊Dic43C2411yescharacteristic
607C4⋊Dic43C2411yescharacteristic
608C4⋊Dic43C2411yescharacteristic
609C4⋊Dic43C2411yescharacteristic
610Dic43⋊C4—21no—
611Dic43⋊C4—21no—
612Dic43⋊C4—21no—
613Dic43⋊C4—21no—
614Dic43⋊C4—21no—
615Dic43⋊C4—21no—
616Dic43⋊C4—21no—
617Dic43⋊C4—21no—
618Dic43⋊C4—21no—
619Dic43⋊C4—21no—
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4C2×D411yescharacteristic
637Dic43⋊C4C2×D411yescharacteristic
638Dic43⋊C4C2×D411yescharacteristic
639Dic43⋊C4C2×D411yescharacteristic
640C4×Dic43—21no—
641C4×Dic43—21no—
642C4×Dic43—21no—
643C4×Dic43—21no—
644C4×Dic43—21no—
645C4×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43C2×D411yescharacteristic
649C4×Dic43C2×D411yescharacteristic
650C4×Dic43C2×D411yescharacteristic
651C4×Dic43C2×D411yescharacteristic
652C4×Dic43C2411yescharacteristic
653C4×Dic43C2411yescharacteristic
654C2×C43⋊C8C2411yescharacteristic
655C2×C43⋊C8C2411yescharacteristic
656C2×C43⋊C8C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658#10621872—22no—
659#10621872—22no—
660#10621872—22no—
661#10621872—22no—
662C23×C43—21no—
663C23×C43C22×D411yescharacteristic
664C22×D43—22no—
665C22×D43—21no—
666C22×D43—41no—
667C22×D43—41no—
668C22×D43C22×D411yescharacteristic
669C22×D43C22×D411yescharacteristic
670Q8×C43—21no—
671Q8×C43—21no—
672Q8×C43—81no—
673Q8×C43—81no—
674Q8×C43—81no—
675D4×C43—21no—
676D4×C43—21no—
677D4×C43—81no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—81no—
688C2×C4×C43—81no—
689C2×C4×C43C22×D411yescharacteristic
690C2×C4×C43C22×D411yescharacteristic
691C2×C4×C43C22×D411yescharacteristic
692C2×C4×C43C22×D411yescharacteristic
693C2×C4×C43C22×D411yescharacteristic
694C2×C4×C43C2511yescharacteristic
695C22⋊D43—42no—
696C22⋊D43—81no—
697C22⋊D43—81no—
698C22⋊D43—81no—
699C22⋊D43—81no—
700C2×Dic43—22no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—42no—
709C2×Dic43—81no—
710C2×Dic43—81no—
711C2×Dic43C22×D411yescharacteristic
712C2×Dic43C22×D411yescharacteristic
713C2×Dic43C22×D411yescharacteristic
714C2×Dic43C22×D411yescharacteristic
715C2×Dic43C22×D411yescharacteristic
716C2×Dic43C22×D411yescharacteristic
717D172—21no—
718D172—21no—
719D172—42no—
720D172—81no—
721C4×D43—22no—
722C4×D43—21no—
723C4×D43—21no—
724C4×D43—22no—
725C4×D43—41no—
726C4×D43—41no—
727C4×D43—41no—
728C4×D43—41no—
729C4×D43—42no—
730C4×D43—42no—
731C4×D43—42no—
732C4×D43—42no—
733C4×D43—42no—
734C4×D43—81no—
735C4×D43—81no—
736C4×D43—81no—
737C4×D43—81no—
738C4×D432−1+412yes—
739C4×D432−1+412yes—
740Dic86—21no—
741Dic86—21no—
742Dic86—81no—
743Dic86—81no—
744Dic86—81no—
745Dic86—81no—
746Dic86—81no—
747Dic86—81no—
748Dic86—81no—
749C8×C43—21no—
750C8×C43—21no—
751C8×C43—21no—
752C8×C43—21no—
753C43⋊C8—21no—
754C43⋊C8—21no—
755C43⋊C8—21no—
756C43⋊C8—21no—
757#60867—431nomaximal, Sylow
758C22×C43—21no—
759C22×C43—21no—
760C22×C43—21no—
761C22×C43—41no—
762C22×C43—41no—
763C22×C43—41no—
764C22×C43C23×D411yescharacteristic
765C2×D43—21no—
766C2×D43—21no—
767C2×D43—21no—
768C2×D43—21no—
769C2×D43—21no—
770C2×D43—44no—
771C2×D43—41no—
772C2×D43—41no—
773C2×D43—41no—
774C2×D43#53612yes—
775C4×C43—21no—
776C4×C43—21no—
777C4×C43—21no—
778C4×C43—21no—
779C4×C43—21no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43—41no—
786C4×C43—41no—
787C4×C43C2×2−1+411yescharacteristic
788C4×C43C2×2−1+411yescharacteristic
789Dic43—21no—
790Dic43—21no—
791Dic43—21no—
792Dic43—21no—
793Dic43—21no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43—41no—
799Dic43—41no—
800Dic43—41no—
801Dic43#53612yes—
802C2×#544—431no—
803#3455—431no—
804#3244—431no—
805#3244—431no—
806#3244—431no—
807#3244—431no—
808#3243—431no—
809#3243—431no—
810#3243—431no—
811#3243D4311yescharacteristic, complemented
812#3242—431no—
813#3242—431no—
814#3242—431no—
815#3242—431no—
816#3241—431no—
817#3241—431no—
818#3241—431no—
819#3241—431no—
820#3166—431no—
821#3165—431no—
822#3142—431no—
823#3141—431no—
824#3093—431no—
825#3093—431no—
826#3092—431no—
827#3092—431no—
828#3080—431no—
829#3080—431no—
830#3079—431no—
831#3079—431no—
832#2921—431no—
833C2×C43—41no—
834C2×C43—81no—
835C2×C43C2×#53611yescharacteristic
836C2×C43#358511yescharacteristic
837C2×C43#358611yescharacteristic
838D43—22no—
839D43—41no—
840D43—81no—
841#544—431no—
842#544—431no—
843#544—431no—
844#544—431no—
845#544—431no—
846#544—431no—
847#544—431no—
848#544—861no—
849#544—861no—
850#544—861no—
851#544—861no—
852#544C2×D4311yescharacteristic
853#542—431no—
854#542—431no—
855#542—431no—
856#542C2×D4311yescharacteristic
857#541—431no—
858#541—431no—
859#540—431no—
860#540—431no—
861#539—861no—
862#539—861no—
863#538—861no—
864#538—861no—
865#533—431no—
866#532—431no—
867C2×C4⋊Q8—431no—
868C2×C4⋊Q8—431no—
869C2×C4⋊Q8—861no—
870#529—861no—
871#529—861no—
872#529—861no—
873#529—861no—
874C2×#125—431no—
875C2×#125—431no—
876C2×#125—861no—
877#525—431no—
878#525—431no—
879C2×C22⋊Q8—861no—
880C2×C22⋊Q8—861no—
881C4×#41—431no—
882C4×#41—431no—
883C2×#117—431no—
884C2×#117—431no—
885C22×C4⋊C4—431no—
886#501—431no—
887#501—431no—
888#501—431no—
889#501—431no—
890#501—431no—
891#501—431no—
892#501—431no—
893#501C2×D4311yescharacteristic, complemented
894#500—431no—
895#500C2×D4311yescharacteristic, complemented
896#499—431no—
897#499—431no—
898#499—431no—
899#499—431no—
900#498—431no—
901#498—431no—
902#491—431no—
903#491—431no—
904#490—431no—
905#490—431no—
906#489—431no—
907#489—431no—
908#489—431no—
909#489C2×D4311yescharacteristic, complemented
910#488—431no—
911#488—431no—
912#488—431no—
913#488C2×D4311yescharacteristic, complemented
914#487—431no—
915#487—431no—
916#486—431no—
917#486—431no—
918#485—431no—
919#485—431no—
920#485—431no—
921#485—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485C2×D4311yescharacteristic
926#484—431no—
927#484—431no—
928#484—431no—
929#484C2×D4311yescharacteristic
930#483—431no—
931#483—431no—
932#483—431no—
933#483—431no—
934#482—431no—
935#482—431no—
936#482—431no—
937#482—431no—
938#482—431no—
939#482—431no—
940#482—431no—
941#482C2×D4311yescharacteristic
942#481—431no—
943#481—431no—
944#481—431no—
945#481—431no—
946#480—431no—
947#480—431no—
948#480—431no—
949#480C2×D4311yescharacteristic
950#479—431no—
951#479—431no—
952#479—431no—
953#479—431no—
954#479—431no—
955#479—431no—
956#479—431no—
957#479C2×D4311yescharacteristic, complemented
958#478—431no—
959#478—431no—
960#478—431no—
961#478—431no—
962#478—431no—
963#478—431no—
964#478—431no—
965#478C2×D4311yescharacteristic, complemented
966#477—431no—
967#477—431no—
968#477—431no—
969#477C2×D4311yescharacteristic, complemented
970#476—431no—
971#476—431no—
972#476—431no—
973#476—431no—
974#475—431no—
975#475—431no—
976#475—431no—
977#475—431no—
978#474—431no—
979#474—431no—
980#474—431no—
981#474C2×D4311yescharacteristic, complemented
982#433—431no—
983#433—431no—
984#433—431no—
985#433—431no—
986#433—431no—
987#433—431no—
988#433—431no—
989#433C2×D4311yescharacteristic
990#428—431no—
991#428—431no—
992#428—431no—
993#428—431no—
994#428—431no—
995#428—431no—
996#428—431no—
997#428—431no—
998#423—431no—
999#423—431no—
1000#417—431no—
1001#417—431no—
1002#417—431no—
1003#417—431no—
1004#417—431no—
1005#417—431no—
1006#417—431no—
1007#417—431no—
1008#407—431no—
1009#407—431no—
1010C4×M16—431no—
1011C4×M16—431no—
1012C43#6086711yescharacteristic, complemented, Sylow
1013C2×#41—431no—
1014C2×#41—431no—
1015C22×Q8—861no—
1016C22×Q8—861no—
1017C23×C4—431no—
1018C23×C4—861no—
1019C2×M16—431no—
1020C2×M16—431no—
1021C2×M16—431no—
1022C2×M16—431no—
1023C4⋊Q8—21no—
1024C4⋊Q8—431no—
1025C4⋊Q8—431no—
1026C4⋊Q8—431no—
1027C4⋊Q8—431no—
1028C4⋊Q8—431no—
1029C4⋊Q8—431no—
1030C4⋊Q8—431no—
1031C4⋊Q8—431no—
1032C4⋊Q8—861no—
1033C4⋊Q8—861no—
1034C4⋊Q8—861no—
1035C4⋊Q8—861no—
1036C4⋊Q8—861no—
1037C4⋊Q8—861no—
1038C4⋊Q8—861no—
1039C4⋊Q8—861no—
1040C4⋊Q8—861no—
1041C4⋊Q8—861no—
1042C4⋊Q8—861no—
1043C4⋊Q8C22×D4311yescharacteristic
1044C4⋊Q8C22×D4311yescharacteristic
1045C4⋊Q8C22×D4311yescharacteristic
1046#127—431no—
1047#126—21no—
1048#126—861no—
1049#126—861no—
1050#126—861no—
1051#126—861no—
1052#126—861no—
1053#126—861no—
1054#126—861no—
1055#125—21no—
1056#125—431no—
1057#125—431no—
1058#125—431no—
1059#125—431no—
1060#125—431no—
1061#125—431no—
1062#125—431no—
1063#125—431no—
1064#125—861no—
1065#125—861no—
1066#125—861no—
1067#125—861no—
1068#125—861no—
1069#125—861no—
1070#125—861no—
1071#125—861no—
1072#125—861no—
1073#125—861no—
1074#125—861no—
1075#125—861no—
1076#125—861no—
1077#125—861no—
1078#125—861no—
1079#125C22×D4311yescharacteristic
1080#125C22×D4311yescharacteristic
1081#124—21no—
1082#124—431no—
1083#124—861no—
1084#124—861no—
1085#124—861no—
1086#124C22×D4311yescharacteristic
1087#123—21no—
1088#123—861no—
1089#123—861no—
1090#123—861no—
1091#123—861no—
1092#123—861no—
1093#123—861no—
1094#123—861no—
1095#123—861no—
1096#123—861no—
1097C22⋊Q8—21no—
1098C22⋊Q8—21no—
1099C22⋊Q8—21no—
1100C22⋊Q8—431no—
1101C22⋊Q8—431no—
1102C22⋊Q8—431no—
1103C22⋊Q8—861no—
1104C22⋊Q8—861no—
1105C22⋊Q8—861no—
1106C22⋊Q8—861no—
1107C22⋊Q8—861no—
1108C22⋊Q8—861no—
1109C22⋊Q8—861no—
1110C22⋊Q8—861no—
1111C22⋊Q8—861no—
1112C22⋊Q8—861no—
1113C22⋊Q8—861no—
1114C22⋊Q8—861no—
1115C22⋊Q8—861no—
1116C22⋊Q8—861no—
1117C22⋊Q8—861no—
1118C22⋊Q8—861no—
1119C22⋊Q8—861no—
1120C22⋊Q8—861no—
1121C22⋊Q8—861no—
1122C22⋊Q8C22×D4311yescharacteristic
1123#121—431no—
1124#121—431no—
1125#121—431no—
1126#121—861no—
1127#121—861no—
1128#121—861no—
1129#121—861no—
1130#121—861no—
1131#121—861no—
1132#121C22×D4311yescharacteristic
1133#120—861no—
1134#120—861no—
1135C4×Q8—431no—
1136C4×Q8—431no—
1137C4×Q8—431no—
1138C4×Q8—861no—
1139C4×Q8—861no—
1140C4×Q8C22×D4311yescharacteristic
1141C4×D4—431no—
1142C4×D4—431no—
1143C4×D4—431no—
1144C4×D4—861no—
1145C4×D4—861no—
1146C4×D4—861no—
1147C4×D4—861no—
1148C4×D4—861no—
1149C4×D4—861no—
1150C4×D4—861no—
1151C4×D4—861no—
1152C4×D4—861no—
1153C4×D4—861no—
1154C4×D4C22×D4311yescharacteristic
1155#117—431no—
1156#117—431no—
1157#117—431no—
1158#117—431no—
1159#117—431no—
1160#117—431no—
1161#117—431no—
1162#117—431no—
1163#117—431no—
1164#117—431no—
1165#117—431no—
1166#117—431no—
1167#117—861no—
1168#117—861no—
1169#117—861no—
1170#117—861no—
1171#117C22×D4311yescharacteristic
1172#117C22×D4311yescharacteristic
1173C2×C4⋊C4—431no—
1174C2×C4⋊C4—431no—
1175C2×C4⋊C4—431no—
1176C2×C4⋊C4—431no—
1177C2×C4⋊C4—431no—
1178C2×C4⋊C4—431no—
1179C2×C4⋊C4—431no—
1180C2×C4⋊C4—431no—
1181C2×C4⋊C4—431no—
1182C2×C4⋊C4—861no—
1183C2×C4⋊C4—861no—
1184C2×C4⋊C4—861no—
1185C2×C4⋊C4—861no—
1186C2×C4⋊C4—861no—
1187C2×C4⋊C4—861no—
1188C2×C4⋊C4—861no—
1189C2×C4⋊C4—861no—
1190C2×C4⋊C4—861no—
1191C2×C4⋊C4C22×D4311yescharacteristic
1192C2×C22⋊C4—431no—
1193C2×C22⋊C4—431no—
1194C2×C22⋊C4—861no—
1195C2×C42—431no—
1196C2×C42—431no—
1197C2×C42—861no—
1198C2×C42—861no—
1199C2×C42—861no—
1200#107—431no—
1201#107—431no—
1202#107—431no—
1203#107—431no—
1204#107—431no—
1205#107—431no—
1206#107—431no—
1207#107—431no—
1208#107—431no—
1209#107—431no—
1210#107C22×D4311yescharacteristic
1211#107C22×D4311yescharacteristic
1212#107C22×D4311yescharacteristic
1213#107C22×D4311yescharacteristic
1214#107C22×D4311yescharacteristic
1215#107C22×D4311yescharacteristic
1216#106—431no—
1217#106—431no—
1218#106—431no—
1219#106—431no—
1220#106—431no—
1221#106—431no—
1222#106—431no—
1223#106—431no—
1224#106—431no—
1225#106—431no—
1226#106—431no—
1227#106—431no—
1228#106—431no—
1229#106—431no—
1230#106C22×D4311yescharacteristic
1231#106C22×D4311yescharacteristic
1232C4⋊C8—431no—
1233C4⋊C8—431no—
1234C4⋊C8—431no—
1235C4⋊C8—431no—
1236C4⋊C8—431no—
1237C4⋊C8—431no—
1238C4⋊C8C22×D4311yescharacteristic
1239C4⋊C8C22×D4311yescharacteristic
1240#103—431no—
1241#103—431no—
1242#103—431no—
1243#103—431no—
1244#103—431no—
1245#103—431no—
1246#103—431no—
1247#103—431no—
1248#103—431no—
1249#103—431no—
1250#103—431no—
1251#103—431no—
1252#103C22×D4311yescharacteristic
1253#103C22×D4311yescharacteristic
1254#103C22×D4311yescharacteristic
1255#103C22×D4311yescharacteristic
1256#102—431no—
1257#102—431no—
1258#102—431no—
1259#102—431no—
1260#102—431no—
1261#102—431no—
1262#102—431no—
1263#102—431no—
1264#102—431no—
1265#102—431no—
1266#102—431no—
1267#102—431no—
1268#102C22×D4311yescharacteristic
1269#102C22×D4311yescharacteristic
1270#102C22×D4311yescharacteristic
1271#102C22×D4311yescharacteristic
1272C22⋊C8—431no—
1273C22⋊C8—431no—
1274C22⋊C8—431no—
1275C22⋊C8—431no—
1276C22⋊C8—431no—
1277C22⋊C8—431no—
1278C22⋊C8C22×D4311yescharacteristic
1279C22⋊C8C22×D4311yescharacteristic
1280#97—431no—
1281#97—431no—
1282#97—431no—
1283#97C22×D4311yescharacteristic
1284C4×C8—431no—
1285C4×C8—431no—
1286C4×C8—431no—
1287C4×C8C22×D4311yescharacteristic
1288C24—431no—
1289#41—862no—
1290#41—862no—
1291#41—862no—
1292#41—862no—
1293C2×Q8—21no—
1294C2×Q8—21no—
1295C2×Q8—21no—
1296C2×Q8—431no—
1297C2×Q8—861no—
1298C2×Q8—861no—
1299C2×Q8—861no—
1300C2×Q8—861no—
1301C2×Q8—861no—
1302C2×Q8—861no—
1303C2×Q8—861no—
1304C2×Q8—3442no—
1305C2×Q8—3442no—
1306C2×Q8C23×D4311yescharacteristic
1307C2×D4—21no—
1308C2×D4—431no—
1309C2×D4—861no—
1310C2×D4—861no—
1311C2×D4—861no—
1312C2×D4—861no—
1313C2×D4—861no—
1314C2×D4—861no—
1315C2×D4—861no—
1316C2×D4C23×D4311yescharacteristic
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—431no—
1320C22×C4—431no—
1321C22×C4—431no—
1322C22×C4—431no—
1323C22×C4—431no—
1324C22×C4—431no—
1325C22×C4—431no—
1326C22×C4—431no—
1327C22×C4—431no—
1328C22×C4—862no—
1329C22×C4—862no—
1330C22×C4—861no—
1331C22×C4—861no—
1332C22×C4—861no—
1333C22×C4—861no—
1334C22×C4—861no—
1335C22×C4—861no—
1336C22×C4—861no—
1337C22×C4—861no—
1338C22×C4—861no—
1339C22×C4—861no—
1340C22×C4—861no—
1341C22×C4—861no—
1342C22×C4—3442no—
1343C22×C4C23×D4311yescharacteristic
1344M16—862no—
1345M16—862no—
1346M16—862no—
1347M16—862no—
1348C2×C8—431no—
1349C2×C8—431no—
1350C2×C8—431no—
1351C2×C8—431no—
1352C2×C8C23×D4311yescharacteristic
1353C2×C8C23×D4311yescharacteristic
1354C2×C8C23×D4311yescharacteristic
1355C2×C8C23×D4311yescharacteristic
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—431no—
1367C4⋊C4—431no—
1368C4⋊C4—431no—
1369C4⋊C4—431no—
1370C4⋊C4—431no—
1371C4⋊C4—431no—
1372C4⋊C4—431no—
1373C4⋊C4—431no—
1374C4⋊C4—431no—
1375C4⋊C4—431no—
1376C4⋊C4—431no—
1377C4⋊C4—431no—
1378C4⋊C4—861no—
1379C4⋊C4—861no—
1380C4⋊C4—861no—
1381C4⋊C4—861no—
1382C4⋊C4—861no—
1383C4⋊C4—861no—
1384C4⋊C4—861no—
1385C4⋊C4—861no—
1386C4⋊C4—861no—
1387C4⋊C4—861no—
1388C4⋊C4—861no—
1389C4⋊C4—861no—
1390C4⋊C4—861no—
1391C4⋊C4—861no—
1392C4⋊C4—861no—
1393C4⋊C4—861no—
1394C4⋊C4—861no—
1395C4⋊C4—861no—
1396C4⋊C4—861no—
1397C4⋊C4—861no—
1398C4⋊C4—861no—
1399C4⋊C4—861no—
1400C4⋊C4—861no—
1401C4⋊C4—861no—
1402C4⋊C4—861no—
1403C4⋊C4—861no—
1404C4⋊C4—861no—
1405C4⋊C4—861no—
1406C4⋊C4—861no—
1407C4⋊C4—861no—
1408C4⋊C4—861no—
1409C4⋊C4—861no—
1410C4⋊C4—861no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4D4×D4311yescharacteristic
1417C4⋊C4D4×D4311yescharacteristic
1418C4⋊C4C23×D4311yescharacteristic
1419C4⋊C4C23×D4311yescharacteristic
1420C4⋊C4C23×D4311yescharacteristic
1421C4⋊C4C23×D4311yescharacteristic
1422C4⋊C4C23×D4311yescharacteristic
1423C4⋊C4C23×D4311yescharacteristic
1424C22⋊C4—21no—
1425C22⋊C4—21no—
1426C22⋊C4—21no—
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—431no—
1431C22⋊C4—431no—
1432C22⋊C4—431no—
1433C22⋊C4—431no—
1434C22⋊C4—431no—
1435C22⋊C4—431no—
1436C22⋊C4—861no—
1437C22⋊C4—861no—
1438C22⋊C4—861no—
1439C22⋊C4—861no—
1440C22⋊C4—861no—
1441C22⋊C4—861no—
1442C22⋊C4—861no—
1443C22⋊C4—861no—
1444C22⋊C4—861no—
1445C22⋊C4—861no—
1446C22⋊C4—861no—
1447C22⋊C4—861no—
1448C22⋊C4—861no—
1449C22⋊C4—861no—
1450C22⋊C4—861no—
1451C22⋊C4—861no—
1452C22⋊C4D4×D4311yescharacteristic
1453C22⋊C4D4×D4311yescharacteristic
1454C42—21no—
1455C42—21no—
1456C42—431no—
1457C42—431no—
1458C42—431no—
1459C42—431no—
1460C42—431no—
1461C42—431no—
1462C42—861no—
1463C42—861no—
1464C42—861no—
1465C42—861no—
1466C42—861no—
1467C42—861no—
1468C42—861no—
1469C42—861no—
1470C42C23×D4311yescharacteristic
1471C42C23×D4311yescharacteristic
1472C23—21no—
1473C23—431no—
1474C23—431no—
1475C23—862no—
1476C23—861no—
1477C23—1721no—
1478C23—1721no—
1479C23C2×D4×D4311yescharacteristic
1480Q8—21no—
1481Q8—21no—
1482Q8—81no—
1483Q8—81no—
1484Q8—81no—
1485Q8—861no—
1486Q8—861no—
1487Q8—3441no—
1488Q8—3441no—
1489Q8—3441no—
1490Q8—3441no—
1491Q8—3441no—
1492Q8—3441no—
1493Q8—3441no—
1494D4—21no—
1495D4—21no—
1496D4—81no—
1497D4—861no—
1498D4—861no—
1499D4—3441no—
1500D4—3441no—
1501D4—3441no—
1502D4—3441no—
1503D4—3441no—
1504D4—1722no—
1505D4—1722no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—81no—
1516C2×C4—81no—
1517C2×C4—431no—
1518C2×C4—432no—
1519C2×C4—432no—
1520C2×C4—431no—
1521C2×C4—431no—
1522C2×C4—431no—
1523C2×C4—431no—
1524C2×C4—431no—
1525C2×C4—862no—
1526C2×C4—862no—
1527C2×C4—862no—
1528C2×C4—861no—
1529C2×C4—861no—
1530C2×C4—861no—
1531C2×C4—861no—
1532C2×C4—861no—
1533C2×C4—861no—
1534C2×C4—861no—
1535C2×C4—861no—
1536C2×C4—861no—
1537C2×C4—3441no—
1538C2×C4—3441no—
1539C2×C4—3441no—
1540C2×C4—3441no—
1541C2×C4—3441no—
1542C2×C4—3441no—
1543C2×C4—1721no—
1544C2×C4—1721no—
1545C2×C4—1721no—
1546C2×C4—1721no—
1547C2×C4—1722no—
1548C2×C4—1722no—
1549C2×C4—1722no—
1550C2×C4—1722no—
1551C2×C4—1722no—
1552C2×C4—1722no—
1553C2×C4C2×D4×D4311yescharacteristic
1554C2×C4C2×D4×D4311yescharacteristic
1555C2×C4C2×D4×D4311yescharacteristic
1556C2×C4C2×D4×D4311yescharacteristic
1557C2×C4C2×D4×D4311yescharacteristic
1558C2×C4C24×D4311yescharacteristic
1559C8—21no—
1560C8—21no—
1561C8—21no—
1562C8—21no—
1563C8—861no—
1564C8—861no—
1565C8—861no—
1566C8—861no—
1567C22—21no—
1568C22—21no—
1569C22—21no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—432no—
1574C22—861no—
1575C22—861no—
1576C22—861no—
1577C22—861no—
1578C22—861no—
1579C22—1724no—
1580C22—1721no—
1581C22—1721no—
1582C22—1721no—
1583C22C22×D4×D4311yescharacteristic
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—21no—
1588C4—21no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—432no—
1597C4—861no—
1598C4—861no—
1599C4—861no—
1600C4—861no—
1601C4—861no—
1602C4—1721no—
1603C4—1721no—
1604C4—1721no—
1605C4—1721no—
1606C4—1721no—
1607C4—1721no—
1608C4—1721no—
1609C42−1+4×D4311yescharacteristic
1610C42−1+4×D4311yescharacteristic
1611C2—41no—
1612C2—81no—
1613C2—862no—
1614C2—3441no—
1615C2—1721no—
1616C2#536×D4311yescharacteristic
1617C2#1914937011yescharacteristic
1618C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3243C2
socleC22×C43C23×D4
prime radical#19147982C2
hypercenter#3243D43
hypocenterC43#60867
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3243

Complements

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

NH ≅ G/Ntype
1. #544×D43C2semidirect
3. #19145895C2semidirect
4. #19145893C2semidirect
5. #19145888C2semidirect
6. #19145886C2semidirect
7. #19145881C2semidirect
8. #19145879C2semidirect
9. #19145872C2semidirect
10. #19145869C2semidirect
11. #19145867C2semidirect
12. #19145862C2semidirect
13. #19145860C2semidirect
14. #19145855C2semidirect
15. #19145853C2semidirect
16. #19145846C2semidirect
17. #19145844C2semidirect
18. #19145146C2semidirect
19. #19145138C2semidirect
20. #19144992C2semidirect
21. #19144987C2semidirect
22. #19144527C2semidirect
23. #19144523C2semidirect
24. #19144522C2semidirect
25. #19144514C2semidirect
26. #19144414C2semidirect
27. #19144412C2semidirect
28. #19144409C2semidirect
29. #19144403C2semidirect
30. #19143229C2semidirect
31. C43×#3243C2semidirect
75. #14583309C22semidirect
76. #14583308C22semidirect
77. #14583307C22semidirect
78. #14583307C22semidirect
79. #14583307C22semidirect
80. #14583307C22semidirect
81. #14583305C22semidirect
82. #14583302C22semidirect
83. #14583300C22semidirect
84. #14583300C22semidirect
85. #14583299C22semidirect
86. #14583299C22semidirect
87. #14583297C22semidirect
88. #14583295C22semidirect
89. #14583266C22semidirect
90. #14583266C22semidirect
91. #14583262C22semidirect
92. #14583262C22semidirect
93. #14583261C22semidirect
94. #14583259C22semidirect
95. #14583258C22semidirect
96. #14583256C22semidirect
97. #14583254C22semidirect
98. #14583253C22semidirect
99. #14583248C22semidirect
100. #14583248C22semidirect
101. #14583244C22semidirect
102. #14583244C22semidirect
131. #14583209C22semidirect
132. #14583208C22semidirect
133. #14583207C22semidirect
134. #14583206C22semidirect
135. #14583205C22semidirect
136. #14583204C22semidirect
137. #14583203C22semidirect
138. #14583202C22semidirect
139. #14583201C22semidirect
140. #14583200C22semidirect
141. #14583199C22semidirect
142. #14583198C22semidirect
143. #14583197C22semidirect
144. #14583196C22semidirect
145. #14583194C22semidirect
146. #14583193C22semidirect
147. #14583193C22semidirect
148. #14583190C22semidirect
149. #14583187C22semidirect
150. #14583187C22semidirect
151. #14583186C22semidirect
152. #14583185C22semidirect
153. #14583182C22semidirect
154. #14583182C22semidirect
155. #14583181C22semidirect
156. #14583179C22semidirect
157. #14583178C22semidirect
158. #14583178C22semidirect
190. C43×#501C22semidirect
191. C43×#500C22semidirect
192. C43×#489C22semidirect
193. C43×#488C22semidirect
198. C43×#479C22semidirect
199. C43×#478C22semidirect
200. C43×#477C22semidirect
201. C43×#474C22semidirect
811. #3243D43semidirect
893. #501C2×D43semidirect
895. #500C2×D43semidirect
909. #489C2×D43semidirect
913. #488C2×D43semidirect
957. #479C2×D43semidirect
965. #478C2×D43semidirect
969. #477C2×D43semidirect
981. #474C2×D43semidirect
1012. C43#60867semidirect

Maximal subgroups

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

subgroupindex
#544×D432
#191479822
#191458952
#191458932
#191458882
#191458862
#191458812
#191458792
#191458722
#191458692
#191458672
#191458622
#191458602
#191458552
#191458532
#191458462
#191458442
#191451462
#191451382
#191449922
#191449872
#191445272
#191445232
#191445222
#191445142
#191444142
#191444122
#191444092
#191444032
#191432292
C43×#32432
#6086743