Finite Group Databasebeta

← #25975448

Subgroups — #25975448

Order 11008.

1892 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148148C211yesmaximal, characteristic, complemented
2#555×D43C211yesmaximal, characteristic, complemented
3#19147219C211yesmaximal, characteristic, complemented
4#19147216C211yesmaximal, characteristic, complemented
5#19147186C211yesmaximal, characteristic, complemented
6#19147183C211yesmaximal, characteristic, complemented
7#19147117C211yesmaximal, characteristic, complemented
8#19147115C211yesmaximal, characteristic, complemented
9#19147104C211yesmaximal, characteristic, complemented
10#19147097C211yesmaximal, characteristic, complemented
11#19147095C211yesmaximal, characteristic, complemented
12#19147094C211yesmaximal, characteristic, complemented
13#19147092C211yesmaximal, characteristic, complemented
14#19147015C211yesmaximal, characteristic, complemented
15#19147012C211yesmaximal, characteristic, complemented
16#19147003C211yesmaximal, characteristic, complemented
17#19147001C211yesmaximal, characteristic, complemented
18#19145140C211yesmaximal, characteristic, complemented
19#19144534C211yesmaximal, characteristic, complemented
20#19144532C211yesmaximal, characteristic, complemented
21#19144527C211yesmaximal, characteristic, complemented
22#19144527C211yesmaximal, characteristic, complemented
23#19144405C211yesmaximal, characteristic, complemented
24#19144390C211yesmaximal, characteristic, complemented
25#19144209C211yesmaximal, characteristic, complemented
26#19144207C211yesmaximal, characteristic, complemented
27#19143400C211yesmaximal, characteristic, complemented
28#19143328C211yesmaximal, characteristic, complemented
29#19143183C211yesmaximal, characteristic, complemented
30#19143182C211yesmaximal, characteristic, complemented
31C43×#3348C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C22×#10621872C2211yescharacteristic
34C2×M16×D43C2211yescharacteristic
35#14583620C2211yescharacteristic, complemented
36#14583615C2211yescharacteristic
37#14583614C2211yescharacteristic
38#14583614C2211yescharacteristic
39#14583613—21no—
40#14583613C2211yescharacteristic
41#14583613C2211yescharacteristic
42#14583612—21no—
43#14583612C2211yescharacteristic
44#14583612C2211yescharacteristic
45#14583612C2211yescharacteristic, complemented
46#14583611—21no—
47#14583611—21no—
48#14583607C2211yescharacteristic, complemented
49#14583602C2211yescharacteristic, complemented
50#14583595C2211yescharacteristic, complemented
51#14583590C2211yescharacteristic, complemented
52#14583581—21no—
53#14583574—21no—
54#14583573—21no—
55#14583550C2211yescharacteristic, complemented
56#14583541—21no—
57#14583455C2211yescharacteristic
58C4⋊Q8×D43C2211yescharacteristic
59#14583434—21no—
60#14583432—21no—
61#14583426—21no—
62#124×D43—21no—
63#124×D43—21no—
64#14583412C2211yescharacteristic
65#14583412C2211yescharacteristic
66#121×D43—21no—
67#121×D43C2211yescharacteristic
68#121×D43C2211yescharacteristic
69C4×#10621902C2211yescharacteristic
70#14583367—21no—
71C4×D4×D43C2211yescharacteristic
72C4×D4×D43C2211yescharacteristic
73C2×#13063283C2211yescharacteristic
74#117×D43—21no—
75#117×D43C2211yescharacteristic
76#117×D43C2211yescharacteristic
77#117×D43C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583308C2211yescharacteristic, complemented
80#14583305C2211yescharacteristic, complemented
81#14583303C2211yescharacteristic, complemented
82#14583303C2211yescharacteristic, complemented
83#14583296C2211yescharacteristic, complemented
84#14583296C2211yescharacteristic, complemented
85#14583239C2211yescharacteristic, complemented
86#14583239C2211yescharacteristic, complemented
87#14583238C2211yescharacteristic, complemented
88#14583238C2211yescharacteristic, complemented
89#14583237C2211yescharacteristic, complemented
90#14583237C2211yescharacteristic, complemented
91#14583226C2211yescharacteristic, complemented
92#14583226C2211yescharacteristic, complemented
93#14583225C2211yescharacteristic, complemented
94#14583225C2211yescharacteristic, complemented
95#14583225C2211yescharacteristic, complemented
96#14583225C2211yescharacteristic, complemented
97#14583224C2211yescharacteristic, complemented
98#14583224C2211yescharacteristic, complemented
99#14583224C2211yescharacteristic, complemented
100#14583223C2211yescharacteristic, complemented
101#14583223C2211yescharacteristic, complemented
102#14583223C2211yescharacteristic, complemented
103#14583221C2211yescharacteristic, complemented
104#14583221C2211yescharacteristic, complemented
105#14583220C2211yescharacteristic, complemented
106#14583219C2211yescharacteristic, complemented
107#14583217C2211yescharacteristic, complemented
108#14583216C2211yescharacteristic, complemented
109#14583214C2211yescharacteristic, complemented
110#14583213C2211yescharacteristic, complemented
111#14583211C2211yescharacteristic, complemented
112#14583210C2211yescharacteristic, complemented
113#14583200C2211yescharacteristic, complemented
114#14583199C2211yescharacteristic, complemented
115#14583196C2211yescharacteristic, complemented
116#14583192C2211yescharacteristic, complemented
117#14583192C2211yescharacteristic, complemented
118#14583188C2211yescharacteristic, complemented
119#14583188C2211yescharacteristic, complemented
120#14583188C2211yescharacteristic, complemented
121#14583187C2211yescharacteristic, complemented
122#14583184C2211yescharacteristic, complemented
123#14583180C2211yescharacteristic, complemented
124#14583178C2211yescharacteristic, complemented
125#14583177C2211yescharacteristic, complemented
126#14583176C2211yescharacteristic, complemented
127#14583153C2211yescharacteristic, complemented
128#14583152C2211yescharacteristic, complemented
129#14583151C2211yescharacteristic, complemented
130#14583150C2211yescharacteristic, complemented
131#14583148C2211yescharacteristic, complemented
132#14583147C2211yescharacteristic, complemented
133#14583142C2211yescharacteristic, complemented
134#14583136C2211yescharacteristic, complemented
135#14583135C2211yescharacteristic, complemented
136#14583134C2211yescharacteristic, complemented
137#14583133C2211yescharacteristic, complemented
138#14583131C2211yescharacteristic, complemented
139#14583130C2211yescharacteristic, complemented
140#14583125C2211yescharacteristic, complemented
141#14583012C2211yescharacteristic, complemented
142#14583009C2211yescharacteristic, complemented
143#14582997C2211yescharacteristic, complemented
144SD16×Dic43C2211yescharacteristic, complemented
145#14582984C2211yescharacteristic, complemented
146#14582981C2211yescharacteristic, complemented
147#14582979C2211yescharacteristic, complemented
148#14582975C2211yescharacteristic, complemented
149#14582974C2211yescharacteristic, complemented
150#14582972C2211yescharacteristic, complemented
151#14582971C2211yescharacteristic, complemented
152#14582969C2211yescharacteristic, complemented
153C8×C22⋊D43C2211yescharacteristic, complemented
154(C22⋊D43)⋊C8C2211yescharacteristic, complemented
155#14582942C2211yescharacteristic, complemented
156#14582941C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic
161#14582940C2211yescharacteristic, complemented
162#14582940C2211yescharacteristic, complemented
163#14582939C2211yescharacteristic, complemented
164#14582938C2211yescharacteristic
165#14582938C2211yescharacteristic
166#14582938C2211yescharacteristic
167#14582938C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582938C2211yescharacteristic, complemented
170#14582938C2211yescharacteristic, complemented
171#14582937C2211yescharacteristic, complemented
172#14582936C2211yescharacteristic, complemented
173#14582936C2211yescharacteristic, complemented
174#14582935C2211yescharacteristic, complemented
175#14582935C2211yescharacteristic, complemented
176#14582934C2211yescharacteristic, complemented
177#14582934C2211yescharacteristic, complemented
178#14582921C2211yescharacteristic
179#14582902C2211yescharacteristic
180#14582902C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582899C2211yescharacteristic
183#14582899C2211yescharacteristic
184#14582899C2211yescharacteristic
185#14582861C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582851C2211yescharacteristic
188C43×#555C2211yescharacteristic
189C43×#552C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#485C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic, complemented
194C43×#481C2211yescharacteristic, complemented
195C43×#478C2211yescharacteristic, complemented
196C43×#475C2211yescharacteristic, complemented
197C43×#468C2211yescharacteristic, complemented
198C43×#465C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C43×#427C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×Q8×D43—21no—
206C2×D4×D43—21no—
207C2×D4×D43—21no—
208C2×D4×D43D411yescharacteristic
209C2×D4×D43C2311yescharacteristic
210C22×C4×D43—21no—
211C22×C4×D43C2311yescharacteristic
212C22×C4×D43C2311yescharacteristic
213#13063352—24no—
214C2×#10621884C2311yescharacteristic
215C2×D344C2311yescharacteristic
216C2×#10621882C2311yescharacteristic
217C2×#10621877C2311yescharacteristic
218C2×#10621872—24no—
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222C2×#10621872C2311yescharacteristic
223C2×#10621872C2311yescharacteristic
224C2×#10621872C2311yescharacteristic
225M16×D43—24no—
226C22×C43⋊C8C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229#13063325C2311yescharacteristic
230#13063324—21no—
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063323—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063319—21no—
240#13063318—21no—
241#13063317C2311yescharacteristic
242#13063315—21no—
243#13063315—21no—
244#13063314—21no—
245#13063314—21no—
246#13063313—21no—
247#13063313—21no—
248#13063313—21no—
249#13063312—21no—
250#13063312—21no—
251#13063311—21no—
252#13063311—21no—
253#13063311—21no—
254#13063311—21no—
255#13063311—21no—
256#13063311—21no—
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063310—21no—
262#13063310—21no—
263#13063310—21no—
264#13063310—21no—
265#13063310—21no—
266#13063308—21no—
267#13063307—21no—
268#13063305—21no—
269#13063303—21no—
270#13063303—21no—
271#13063303—21no—
272#13063302—21no—
273#13063301C2311yescharacteristic
274#13063301C2311yescharacteristic
275#13063300—21no—
276#13063300—21no—
277#13063300C2311yescharacteristic
278#13063300C2311yescharacteristic
279#13063300C2311yescharacteristic
280#13063300C2311yescharacteristic
281#13063299—21no—
282#13063299C2311yescharacteristic
283#13063299C2311yescharacteristic
284#13063299C2311yescharacteristic
285#13063299C2311yescharacteristic
286#13063298—21no—
287#13063298—21no—
288#13063298—21no—
289#13063298—21no—
290#13063298—21no—
291#13063297—21no—
292#13063297—21no—
293#13063297—21no—
294#13063297—21no—
295#13063297—21no—
296#13063296—21no—
297#13063296C2311yescharacteristic
298#13063296C2311yescharacteristic
299#13063295—21no—
300#13063295—21no—
301Q8×Dic43C2311yescharacteristic
302#13063290—21no—
303#13063290—21no—
304#13063290—21no—
305C4×D172—21no—
306C4×D172C2311yescharacteristic
307C4×D172C2311yescharacteristic
308C4×D172C2311yescharacteristic
309D4×Dic43D411yescharacteristic
310D4×Dic43C2311yescharacteristic
311#13063287—21no—
312#13063287—21no—
313#13063287—21no—
314#13063287—21no—
315#13063287D411yescharacteristic
316#13063287C2311yescharacteristic
317#13063287C2311yescharacteristic
318C4×C22⋊D43—21no—
319C4×C22⋊D43C2311yescharacteristic
320C4×C22⋊D43C2311yescharacteristic
321(C22⋊D43)⋊C4—21no—
322(C22⋊D43)⋊C4—21no—
323(C22⋊D43)⋊C4—21no—
324(C22⋊D43)⋊C4—21no—
325(C22⋊D43)⋊C4—21no—
326(C22⋊D43)⋊C4D411yescharacteristic
327(C22⋊D43)⋊C4D411yescharacteristic
328#13063284—21no—
329#13063284C2311yescharacteristic
330#13063284C2311yescharacteristic
331#13063284C2311yescharacteristic
332#13063283—21no—
333#13063283—21no—
334#13063283—21no—
335#13063283—21no—
336#13063283—21no—
337#13063283C2311yescharacteristic
338#13063283C2311yescharacteristic
339#13063283C2311yescharacteristic
340#13063283C2311yescharacteristic
341#13063283C2311yescharacteristic
342#13063283C2311yescharacteristic
343#13063283C2311yescharacteristic
344#13063283C2311yescharacteristic
345#13063283C2311yescharacteristic
346#13063282—21no—
347#13063282—21no—
348#13063282—21no—
349#13063282—21no—
350#13063282—21no—
351#13063282—21no—
352#13063282—21no—
353#13063281—21no—
354#13063281—21no—
355#13063281—21no—
356#13063281—21no—
357#13063281—21no—
358C2×C4⋊Dic43C2311yescharacteristic
359C4⋊C4×D43—21no—
360C4⋊C4×D43D411yescharacteristic
361C4⋊C4×D43C2311yescharacteristic
362C4⋊C4×D43C2311yescharacteristic
363C4⋊C4×D43C2311yescharacteristic
364C4⋊C4×D43C2311yescharacteristic
365C4⋊C4×D43C2311yescharacteristic
366C2×(C2×D43)⋊C4—21no—
367C22⋊C4×D43—21no—
368C22⋊C4×D43—21no—
369C22⋊C4×D43—21no—
370C22⋊C4×D43—21no—
371C22⋊C4×D43—21no—
372C22⋊C4×D43—21no—
373C22⋊C4×D43D411yescharacteristic
374C22⋊C4×D43D411yescharacteristic
375C2×C4×Dic43—21no—
376C42×D43—21no—
377C42×D43—21no—
378C42×D43—21no—
379C42×D43—21no—
380C42×D43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429C22⋊(C43⋊C8)C2311yescharacteristic
430C22⋊(C43⋊C8)C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435#13063236C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#124×C43—21no—
446#124×C43—21no—
447#123×C43—21no—
448C22⋊Q8×C43C2311yescharacteristic
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43—21no—
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456#117×C43—21no—
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43C2×D411yescharacteristic
483C23×D43C2×D411yescharacteristic
484C2×Q8×C43—21no—
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43C2×D411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43C2411yescharacteristic
493C22×C4×C43C2411yescharacteristic
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43C2×D411yescharacteristic
502C2×C22⋊D43C2×D411yescharacteristic
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43C2×D411yescharacteristic
506C22×Dic43C2×D411yescharacteristic
507#10621902—22no—
508#10621902—22no—
509Q8×D43—82no—
510D4×D43—22no—
511D4×D43—22no—
512D4×D43—42no—
513D4×D43—82no—
514D4×D43—82no—
515#10621898—44no—
516C2×D172—21no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172C2×D411yescharacteristic
522C2×D172C2411yescharacteristic
523C2×D172C2411yescharacteristic
524C2×C4×D43—22no—
525C2×C4×D43—22no—
526C2×C4×D43—22no—
527C2×C4×D43—22no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—44no—
539C2×C4×D43C2×D411yescharacteristic
540C2×C4×D43C2×D411yescharacteristic
541C2×C4×D43C2×D411yescharacteristic
542C2×C4×D43C2×D411yescharacteristic
543C2×C4×D43C2×D411yescharacteristic
544C2×C4×D43C2×D411yescharacteristic
545C2×C4×D43C2411yescharacteristic
546C2×C4×D43C2411yescharacteristic
547C2×C4×D43C2411yescharacteristic
548C2×Dic86—21no—
549C2×Dic86—21no—
550C2×Dic86—21no—
551C2×Dic86—21no—
552C2×Dic86—21no—
553SD16×C43—22no—
554M16×C43—22no—
555C2×C8×C43—22no—
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C2×C8×C43C2411yescharacteristic
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43C2×D411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
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×C43C2×D411yescharacteristic
583C22⋊C4×C43C2×D411yescharacteristic
584C42×C43—21no—
585C42×C43—21no—
586C42×C43—21no—
587C42×C43—21no—
588C42×C43C2411yescharacteristic
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43C2×D411yescharacteristic
596C22⋊Dic43C2×D411yescharacteristic
597#10621884—22no—
598#10621882—22no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43C2×D411yescharacteristic
630C4⋊Dic43C2411yescharacteristic
631C4⋊Dic43C2411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43C2×D411yescharacteristic
665C4×Dic43C2×D411yescharacteristic
666C4×Dic43C2411yescharacteristic
667#10621877—22no—
668C2×C43⋊C8—22no—
669C2×C43⋊C8C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673D344—22no—
674#10621872—22no—
675#10621872—22no—
676#10621872—22no—
677#10621872—22no—
678#10621872—22no—
679#10621872#4114yescomplemented
680C8×D43—22no—
681C8×D43—22no—
682C23×C43—21no—
683C23×C43C22×D411yescharacteristic
684C23×C43C22×D411yescharacteristic
685C22×D43—22no—
686C22×D43—22no—
687C22×D43—21no—
688C22×D43—21no—
689C22×D43—41no—
690C22×D43—41no—
691C22×D43—41no—
692C22×D43—41no—
693C22×D43—42no—
694C22×D43—42no—
695C22×D43—42no—
696C22×D43C22×D411yescharacteristic
697C22×D43C22×D411yescharacteristic
698C22×D43C22×D411yescharacteristic
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—81no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—41no—
705D4×C43—81no—
706D4×C43—81no—
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—42no—
719C2×C4×C43—42no—
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C2511yescharacteristic
725C22⋊D43—22no—
726C22⋊D43—22no—
727C22⋊D43—42no—
728C22⋊D43—42no—
729C22⋊D43—81no—
730C22⋊D43—81no—
731C22⋊D43—81no—
732C22⋊D43—81no—
733C22⋊D43—81no—
734C2×Dic43—22no—
735C2×Dic43—22no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—42no—
743C2×Dic43—81no—
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749D172—21no—
750D172—21no—
751D172—21no—
752D172—21no—
753D172—41no—
754D172—42no—
755D172—42no—
756D172—81no—
757D172—81no—
758D172—81no—
759C4×D43—22no—
760C4×D43—22no—
761C4×D43—21no—
762C4×D43—21no—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—22no—
766C4×D43—22no—
767C4×D43—22no—
768C4×D43—41no—
769C4×D43—42no—
770C4×D43—42no—
771C4×D43—42no—
772C4×D43—42no—
773C4×D43—42no—
774C4×D43—42no—
775C4×D43—42no—
776C4×D43—42no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43C2×#4112yes—
780C4×D432−1+412yes—
781Dic86—42no—
782Dic86—81no—
783Dic86—81no—
784Dic86—81no—
785Dic86—81no—
786C8×C43—21no—
787C8×C43—21no—
788C8×C43—21no—
789C8×C43C2×#4112yes—
790C43⋊C8—21no—
791C43⋊C8—21no—
792C43⋊C8—21no—
793C43⋊C8C2×#4112yes—
794#61256—431nomaximal, Sylow
795C22×C43—21no—
796C22×C43—21no—
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43C23×D411yescharacteristic
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—21no—
810C2×D43—21no—
811C2×D43—21no—
812C2×D43—21no—
813C2×D43—41no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—82no—
820C2×D43—82no—
821C2×D43—84no—
822C2×D43#54712yes—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—21no—
826C4×C43—21no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43—41no—
833C4×C43—41no—
834C4×C43C22×#4111yescharacteristic
835C4×C43C2×2−1+411yescharacteristic
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43#54712yes—
846Dic43#57512yes—
847#3475—431no—
848C2×#555—431no—
849#3357—431no—
850#3357—431no—
851#3354—431no—
852#3354—431no—
853#3348—431no—
854#3348—431no—
855#3348—431no—
856#3348D4311yescharacteristic, complemented
857#3347—431no—
858#3347—431no—
859#3347—431no—
860#3347—431no—
861#3341—431no—
862#3341—431no—
863#3340—431no—
864#3340—431no—
865#3165—431no—
866#3094—431no—
867#3094—431no—
868#3093—431no—
869#3093—431no—
870#3079—431no—
871#3077—431no—
872#3055—431no—
873#3055—431no—
874C4×AGL(1,ℤ/8)—431no—
875D4×M16—431no—
876#2911—431no—
877#2911—431no—
878C2×C43—41no—
879C2×C43—41no—
880C2×C43—81no—
881C2×C43C2×#54711yescharacteristic
882C2×C43C2×#57511yescharacteristic
883C2×C43#358511yescharacteristic
884D43—22no—
885D43—41no—
886D43—41no—
887D43—81no—
888D43—81no—
889C2×AGL(1,ℤ/8)—431no—
890C22×M16—431no—
891C22×M16—431no—
892#556—431no—
893#555—431no—
894#555—431no—
895#555—431no—
896#555—431no—
897#555—431no—
898#555—431no—
899#555—431no—
900#555—431no—
901#555—861no—
902#555—861no—
903#555—861no—
904#555—861no—
905#555C2×D4311yescharacteristic
906#554—431no—
907#553—431no—
908#553—431no—
909#552—431no—
910#552—861no—
911#552C2×D4311yescharacteristic, complemented
912#551—861no—
913#551—861no—
914#547—431no—
915#546—861no—
916#533—431no—
917C2×C4⋊Q8—431no—
918#529—861no—
919#529—861no—
920#529—861no—
921C2×#124—861no—
922C2×#124—861no—
923#525—431no—
924#525—431no—
925C2×#121—431no—
926C2×#121—431no—
927C2×#121—861no—
928C4×#41—431no—
929C4×#41—861no—
930C2×C4×D4—431no—
931C2×C4×D4—431no—
932C2×#117—431no—
933C2×#117—431no—
934C2×#117—431no—
935C2×#117—431no—
936C2×#117—861no—
937#501—431no—
938#501—431no—
939#501—431no—
940#501C2×D4311yescharacteristic, complemented
941#500—431no—
942#500—431no—
943#498—431no—
944#498—431no—
945#485—431no—
946#485—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#485—431no—
951#485C2×D4311yescharacteristic, complemented
952#485C2×D4311yescharacteristic, complemented
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482—431no—
958#482—431no—
959#482—431no—
960#482—431no—
961#482—431no—
962#482—431no—
963#482—431no—
964#482—431no—
965#482—431no—
966#482—431no—
967#482—431no—
968#482C2×D4311yescharacteristic, complemented
969#481—431no—
970#481—431no—
971#481—431no—
972#481C2×D4311yescharacteristic, complemented
973#480—431no—
974#480—431no—
975#480—431no—
976#480—431no—
977#478—431no—
978#478—431no—
979#478—431no—
980#478C2×D4311yescharacteristic, complemented
981#477—431no—
982#477—431no—
983#476—431no—
984#476—431no—
985#476—431no—
986#476—431no—
987#475—431no—
988#475C2×D4311yescharacteristic, complemented
989#474—431no—
990#474—431no—
991#474—431no—
992#474—431no—
993#469—431no—
994#469—431no—
995#469—431no—
996#469—431no—
997#468—431no—
998#468—431no—
999#468—431no—
1000#468C2×D4311yescharacteristic, complemented
1001#466—431no—
1002#466—431no—
1003#466—431no—
1004#466—431no—
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#465C2×D4311yescharacteristic, complemented
1009#442—431no—
1010#442—431no—
1011#440—431no—
1012#440C2×D4311yescharacteristic, complemented
1013C4×SD16—431no—
1014C4×SD16—431no—
1015C4×D8—431no—
1016C4×D8—431no—
1017#436—431no—
1018#436—431no—
1019#435—431no—
1020#435—431no—
1021#435—431no—
1022#435C2×D4311yescharacteristic, complemented
1023C8×D4—431no—
1024C8×D4—431no—
1025#428—431no—
1026#428—431no—
1027#428—431no—
1028#428—431no—
1029#428—431no—
1030#428—431no—
1031#428—431no—
1032#428—431no—
1033#428—431no—
1034#428—431no—
1035#428—431no—
1036#428—431no—
1037#428—431no—
1038#428—431no—
1039#428—431no—
1040#428—431no—
1041#428C2×D4311yescharacteristic, complemented
1042#427—431no—
1043#427—431no—
1044#427—431no—
1045#427—431no—
1046#427—431no—
1047#427—431no—
1048#427—431no—
1049#427C2×D4311yescharacteristic, complemented
1050#423—431no—
1051#418—431no—
1052#418—431no—
1053#418—431no—
1054#417—431no—
1055#417—431no—
1056#417—431no—
1057#407—431no—
1058#407—431no—
1059C4×M16—431no—
1060C43#6125611yescharacteristic, complemented, Sylow
1061C2×#41—431no—
1062C2×#41—861no—
1063C22×Q8—861no—
1064C22×D4—431no—
1065C22×D4—431no—
1066C22×D4—861no—
1067C22×D4—861no—
1068C23×C4—431no—
1069C23×C4—431no—
1070C23×C4—861no—
1071AGL(1,ℤ/8)—864no—
1072C2×SD16—431no—
1073C2×SD16C22×D4311yescharacteristic
1074C2×D8—431no—
1075C2×D8—431no—
1076C2×M16—431no—
1077C2×M16—431no—
1078C2×M16—431no—
1079C2×M16—431no—
1080C2×M16—431no—
1081C2×M16—431no—
1082C2×M16—431no—
1083C2×M16—864no—
1084C2×M16—864no—
1085C2×M16C22×D4311yescharacteristic
1086C22×C8—431no—
1087C22×C8—431no—
1088C22×C8—431no—
1089C22×C8C22×D4311yescharacteristic
1090C4⋊Q8—431no—
1091C4⋊Q8—431no—
1092C4⋊Q8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—861no—
1096C4⋊Q8—861no—
1097C4⋊Q8C22×D4311yescharacteristic
1098#126—21no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#125—21no—
1105#125—431no—
1106#125—861no—
1107#125—861no—
1108#125C22×D4311yescharacteristic
1109#124—21no—
1110#124—21no—
1111#124—861no—
1112#124—861no—
1113#124—861no—
1114#124—861no—
1115#124—861no—
1116#124—861no—
1117#124—861no—
1118#124—861no—
1119#124—861no—
1120#124—861no—
1121#124—861no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#123—21no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136C22⋊Q8—431no—
1137C22⋊Q8—431no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8C22×D4311yescharacteristic
1144C22⋊Q8C22×D4311yescharacteristic
1145#121—21no—
1146#121—431no—
1147#121—431no—
1148#121—431no—
1149#121—431no—
1150#121—431no—
1151#121—431no—
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#121—861no—
1165#121—861no—
1166#121—861no—
1167#121—861no—
1168#121—861no—
1169#121—861no—
1170#121C22×D4311yescharacteristic
1171#121C22×D4311yescharacteristic
1172#120—861no—
1173#120—861no—
1174C4×Q8—431no—
1175C4×Q8—861no—
1176C4×Q8—861no—
1177C4×Q8—861no—
1178C4×Q8C22×D4311yescharacteristic
1179C4×D4—431no—
1180C4×D4—431no—
1181C4×D4—431no—
1182C4×D4—431no—
1183C4×D4—431no—
1184C4×D4—431no—
1185C4×D4—431no—
1186C4×D4—431no—
1187C4×D4—431no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—861no—
1192C4×D4—861no—
1193C4×D4—861no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4C22×D4311yescharacteristic
1203C4×D4C22×D4311yescharacteristic
1204#117—21no—
1205#117—21no—
1206#117—431no—
1207#117—431no—
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—431no—
1213#117—431no—
1214#117—431no—
1215#117—431no—
1216#117—431no—
1217#117—431no—
1218#117—861no—
1219#117—861no—
1220#117—861no—
1221#117—861no—
1222#117—861no—
1223#117—861no—
1224#117—861no—
1225#117—861no—
1226#117—861no—
1227#117—861no—
1228#117—861no—
1229#117—861no—
1230#117—861no—
1231#117—861no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117C22×D4311yescharacteristic
1237#117C22×D4311yescharacteristic
1238#117C22×D4311yescharacteristic
1239C2×C4⋊C4—431no—
1240C2×C4⋊C4—431no—
1241C2×C4⋊C4—431no—
1242C2×C4⋊C4—431no—
1243C2×C4⋊C4—431no—
1244C2×C4⋊C4—431no—
1245C2×C4⋊C4—431no—
1246C2×C4⋊C4—861no—
1247C2×C4⋊C4C22×D4311yescharacteristic
1248C2×C22⋊C4—431no—
1249C2×C22⋊C4—431no—
1250C2×C22⋊C4—861no—
1251C2×C22⋊C4—861no—
1252C2×C22⋊C4—861no—
1253C2×C22⋊C4—861no—
1254C2×C22⋊C4—861no—
1255C2×C22⋊C4—861no—
1256C2×C22⋊C4—861no—
1257C2×C42—431no—
1258C2×C42—861no—
1259C2×C42—861no—
1260C2×C42—861no—
1261C2×C42—861no—
1262C2×C42—861no—
1263#107—431no—
1264#107—431no—
1265#107—431no—
1266#107—431no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#107—431no—
1276#107—431no—
1277#107C22×D4311yescharacteristic
1278#107C22×D4311yescharacteristic
1279#107C22×D4311yescharacteristic
1280#107C22×D4311yescharacteristic
1281#106—431no—
1282#106—431no—
1283#106—431no—
1284#106—431no—
1285#106—431no—
1286#106—431no—
1287#106—431no—
1288#106—431no—
1289#106—431no—
1290#106—431no—
1291#106—431no—
1292#106—431no—
1293#106—431no—
1294#106C22×D4311yescharacteristic
1295#106C22×D4311yescharacteristic
1296#106C22×D4311yescharacteristic
1297#106C22×D4311yescharacteristic
1298#106C22×D4311yescharacteristic
1299C4⋊C8—431no—
1300C4⋊C8—431no—
1301C4⋊C8—431no—
1302C4⋊C8C22×D4311yescharacteristic
1303#103—431no—
1304#103—431no—
1305#103—431no—
1306#103C22×D4311yescharacteristic
1307#103C22×D4311yescharacteristic
1308#103C22×D4311yescharacteristic
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—
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102C22×D4311yescharacteristic
1325#102C22×D4311yescharacteristic
1326#102C22×D4311yescharacteristic
1327C22⋊C8—431no—
1328C22⋊C8—431no—
1329C22⋊C8—431no—
1330C22⋊C8—431no—
1331C22⋊C8—431no—
1332C22⋊C8—431no—
1333C22⋊C8C22×D4311yescharacteristic
1334C22⋊C8C22×D4311yescharacteristic
1335#97—431no—
1336#97C22×D4311yescharacteristic
1337C4×C8—431no—
1338C4×C8—431no—
1339C24—431no—
1340C24—431no—
1341C24—861no—
1342#41—862no—
1343#41—862no—
1344#41—1724no—
1345C2×Q8—21no—
1346C2×Q8—861no—
1347C2×Q8—861no—
1348C2×Q8—861no—
1349C2×Q8—861no—
1350C2×Q8—861no—
1351C2×Q8—3442no—
1352C2×Q8C23×D4311yescharacteristic
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—431no—
1356C2×D4—431no—
1357C2×D4—431no—
1358C2×D4—431no—
1359C2×D4—431no—
1360C2×D4—861no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—862no—
1366C2×D4—862no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—3442no—
1375C2×D4—3442no—
1376C2×D4—1722no—
1377C2×D4D4×D4311yescharacteristic
1378C2×D4C23×D4311yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—431no—
1382C22×C4—431no—
1383C22×C4—431no—
1384C22×C4—431no—
1385C22×C4—431no—
1386C22×C4—431no—
1387C22×C4—431no—
1388C22×C4—431no—
1389C22×C4—431no—
1390C22×C4—431no—
1391C22×C4—431no—
1392C22×C4—862no—
1393C22×C4—862no—
1394C22×C4—862no—
1395C22×C4—862no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—1724no—
1409C22×C4C23×D4311yescharacteristic
1410C22×C4C23×D4311yescharacteristic
1411SD16—22no—
1412SD16—862no—
1413D8—862no—
1414D8—862no—
1415M16—22no—
1416M16—434no—
1417M16—862no—
1418M16—862no—
1419M16—862no—
1420M16—862no—
1421M16—862no—
1422M16—862no—
1423C2×C8—22no—
1424C2×C8—431no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—862no—
1429C2×C8—862no—
1430C2×C8—862no—
1431C2×C8C23×D4311yescharacteristic
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
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—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C4⋊C4C23×D4311yescharacteristic
1471C4⋊C4C23×D4311yescharacteristic
1472C4⋊C4C23×D4311yescharacteristic
1473C4⋊C4C23×D4311yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—431no—
1486C22⋊C4—431no—
1487C22⋊C4—431no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4D4×D4311yescharacteristic
1518C22⋊C4D4×D4311yescharacteristic
1519C42—21no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—431no—
1524C42—431no—
1525C42—431no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42C23×D4311yescharacteristic
1540C23—21no—
1541C23—431no—
1542C23—431no—
1543C23—431no—
1544C23—862no—
1545C23—862no—
1546C23—861no—
1547C23—861no—
1548C23—1721no—
1549C23—1721no—
1550C23—1721no—
1551C23—1721no—
1552C23—1722no—
1553C23—1722no—
1554C23—1722no—
1555C23C2×D4×D4311yescharacteristic
1556C23C2×D4×D4311yescharacteristic
1557Q8—21no—
1558Q8—21no—
1559Q8—81no—
1560Q8—3441no—
1561Q8—3441no—
1562Q8—3441no—
1563Q8—3441no—
1564Q8—1722no—
1565D4—21no—
1566D4—21no—
1567D4—41no—
1568D4—81no—
1569D4—81no—
1570D4—862no—
1571D4—862no—
1572D4—861no—
1573D4—861no—
1574D4—861no—
1575D4—861no—
1576D4—3441no—
1577D4—3441no—
1578D4—3441no—
1579D4—3441no—
1580D4—3441no—
1581D4—3441no—
1582D4—3441no—
1583D4—3441no—
1584D4—1721no—
1585D4—1722no—
1586D4—1722no—
1587D4—1722no—
1588D4—1722no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—42no—
1601C2×C4—42no—
1602C2×C4—431no—
1603C2×C4—431no—
1604C2×C4—432no—
1605C2×C4—432no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—862no—
1610C2×C4—862no—
1611C2×C4—862no—
1612C2×C4—862no—
1613C2×C4—862no—
1614C2×C4—862no—
1615C2×C4—862no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—861no—
1624C2×C4—861no—
1625C2×C4—861no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—1721no—
1630C2×C4—1722no—
1631C2×C4—1722no—
1632C2×C4—1722no—
1633C2×C4—1722no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4—1722no—
1638C2×C4—1722no—
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C2×D4×D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—432no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C8#41×D4312yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—432no—
1662C22—861no—
1663C22—861no—
1664C22—861no—
1665C22—861no—
1666C22—861no—
1667C22—861no—
1668C22—861no—
1669C22—861no—
1670C22—3442no—
1671C22—3442no—
1672C22—3444no—
1673C22—1721no—
1674C22—1721no—
1675C22—1721no—
1676C22—1721no—
1677C22—1721no—
1678C22—1721no—
1679C22C22×D4×D4311yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—432no—
1692C4—432no—
1693C4—861no—
1694C4—861no—
1695C4—861no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4—1721no—
1700C4—1721no—
1701C4—1721no—
1702C4C2×#41×D4311yescharacteristic
1703C42−1+4×D4311yescharacteristic
1704C2—41no—
1705C2—41no—
1706C2—81no—
1707C2—862no—
1708C2—3441no—
1709C2—3441no—
1710C2—1721no—
1711C2—1721no—
1712C2#547×D4311yescharacteristic
1713C2#575×D4311yescharacteristic
1714C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3348C2
socleC22×C43C23×D4
hypercenter#3348D43
hypocenterC43#61256
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3348

Complements

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

NH ≅ G/Ntype
1. #19148148C2semidirect
2. #555×D43C2semidirect
3. #19147219C2semidirect
4. #19147216C2semidirect
5. #19147186C2semidirect
6. #19147183C2semidirect
7. #19147117C2semidirect
8. #19147115C2semidirect
9. #19147104C2semidirect
10. #19147097C2semidirect
11. #19147095C2semidirect
12. #19147094C2semidirect
13. #19147092C2semidirect
14. #19147015C2semidirect
15. #19147012C2semidirect
16. #19147003C2semidirect
17. #19147001C2semidirect
18. #19145140C2semidirect
19. #19144534C2semidirect
20. #19144532C2semidirect
21. #19144527C2semidirect
22. #19144527C2semidirect
23. #19144405C2semidirect
24. #19144390C2semidirect
25. #19144209C2semidirect
26. #19144207C2semidirect
27. #19143400C2semidirect
28. #19143328C2semidirect
29. #19143183C2semidirect
30. #19143182C2semidirect
31. C43×#3348C2semidirect
35. #14583620C22semidirect
45. #14583612C22semidirect
48. #14583607C22semidirect
49. #14583602C22semidirect
50. #14583595C22semidirect
51. #14583590C22semidirect
55. #14583550C22semidirect
78. #14583309C22semidirect
79. #14583308C22semidirect
80. #14583305C22semidirect
81. #14583303C22semidirect
82. #14583303C22semidirect
83. #14583296C22semidirect
84. #14583296C22semidirect
85. #14583239C22semidirect
86. #14583239C22semidirect
87. #14583238C22semidirect
88. #14583238C22semidirect
89. #14583237C22semidirect
90. #14583237C22semidirect
91. #14583226C22semidirect
92. #14583226C22semidirect
93. #14583225C22semidirect
94. #14583225C22semidirect
95. #14583225C22semidirect
96. #14583225C22semidirect
97. #14583224C22semidirect
98. #14583224C22semidirect
99. #14583224C22semidirect
100. #14583223C22semidirect
101. #14583223C22semidirect
102. #14583223C22semidirect
103. #14583221C22semidirect
104. #14583221C22semidirect
105. #14583220C22semidirect
106. #14583219C22semidirect
107. #14583217C22semidirect
108. #14583216C22semidirect
109. #14583214C22semidirect
110. #14583213C22semidirect
111. #14583211C22semidirect
112. #14583210C22semidirect
113. #14583200C22semidirect
114. #14583199C22semidirect
115. #14583196C22semidirect
116. #14583192C22semidirect
117. #14583192C22semidirect
118. #14583188C22semidirect
119. #14583188C22semidirect
120. #14583188C22semidirect
121. #14583187C22semidirect
122. #14583184C22semidirect
123. #14583180C22semidirect
124. #14583178C22semidirect
125. #14583177C22semidirect
126. #14583176C22semidirect
127. #14583153C22semidirect
128. #14583152C22semidirect
129. #14583151C22semidirect
130. #14583150C22semidirect
131. #14583148C22semidirect
132. #14583147C22semidirect
133. #14583142C22semidirect
134. #14583136C22semidirect
135. #14583135C22semidirect
136. #14583134C22semidirect
137. #14583133C22semidirect
138. #14583131C22semidirect
139. #14583130C22semidirect
140. #14583125C22semidirect
141. #14583012C22semidirect
142. #14583009C22semidirect
143. #14582997C22semidirect
144. SD16×Dic43C22semidirect
145. #14582984C22semidirect
146. #14582981C22semidirect
147. #14582979C22semidirect
148. #14582975C22semidirect
149. #14582974C22semidirect
150. #14582972C22semidirect
151. #14582971C22semidirect
152. #14582969C22semidirect
153. C8×C22⋊D43C22semidirect
154. (C22⋊D43)⋊C8C22semidirect
155. #14582942C22semidirect
156. #14582941C22semidirect
161. #14582940C22semidirect
162. #14582940C22semidirect
163. #14582939C22semidirect
169. #14582938C22semidirect
170. #14582938C22semidirect
171. #14582937C22semidirect
172. #14582936C22semidirect
173. #14582936C22semidirect
174. #14582935C22semidirect
175. #14582935C22semidirect
176. #14582934C22semidirect
177. #14582934C22semidirect
189. C43×#552C22semidirect
190. C43×#501C22semidirect
191. C43×#485C22semidirect
192. C43×#485C22semidirect
193. C43×#482C22semidirect
194. C43×#481C22semidirect
195. C43×#478C22semidirect
196. C43×#475C22semidirect
197. C43×#468C22semidirect
198. C43×#465C22semidirect
199. C43×#440C22semidirect
200. C43×#435C22semidirect
201. C43×#428C22semidirect
202. C43×#427C22semidirect
679. #10621872#41semidirect
856. #3348D43semidirect
911. #552C2×D43semidirect
940. #501C2×D43semidirect
951. #485C2×D43semidirect
952. #485C2×D43semidirect
968. #482C2×D43semidirect
972. #481C2×D43semidirect
980. #478C2×D43semidirect
988. #475C2×D43semidirect
1000. #468C2×D43semidirect
1008. #465C2×D43semidirect
1012. #440C2×D43semidirect
1022. #435C2×D43semidirect
1041. #428C2×D43semidirect
1049. #427C2×D43semidirect
1060. C43#61256semidirect

Maximal subgroups

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

subgroupindex
#191481482
#555×D432
#191472192
#191472162
#191471862
#191471832
#191471172
#191471152
#191471042
#191470972
#191470952
#191470942
#191470922
#191470152
#191470122
#191470032
#191470012
#191451402
#191445342
#191445322
#191445272
#191444052
#191443902
#191442092
#191442072
#191434002
#191433282
#191431832
#191431822
C43×#33482
#6125643