Finite Group Databasebeta

← #25979717

Subgroups — #25979717

Order 11008.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148706C211yesmaximal, characteristic, complemented
2#19148617C211yesmaximal, characteristic, complemented
3#19147635C211yesmaximal, characteristic, complemented
4#19147536C211yesmaximal, characteristic, complemented
5#19147349C211yesmaximal, characteristic, complemented
6#19147325C211yesmaximal, characteristic, complemented
7#19147160C211yesmaximal, characteristic, complemented
8#19147091C211yesmaximal, characteristic, complemented
9#19147091C211yesmaximal, characteristic, complemented
10#19146844C211yesmaximal, characteristic, complemented
11#19146833C211yesmaximal, characteristic, complemented
12#19146782C211yesmaximal, characteristic, complemented
13#19146737C211yesmaximal, characteristic, complemented
14#19146621C211yesmaximal, characteristic, complemented
15#19146606C211yesmaximal, characteristic, complemented
16#19146216C211yesmaximal, characteristic, complemented
17#19146090C211yesmaximal, characteristic, complemented
18#19146090C211yesmaximal, characteristic, complemented
19#19145274C211yesmaximal, characteristic, complemented
20#19145245C211yesmaximal, characteristic, complemented
21#19145186C211yesmaximal, characteristic, complemented
22#19144886C211yesmaximal, characteristic, complemented
23#19144838C211yesmaximal, characteristic, complemented
24#19144792C211yesmaximal, characteristic, complemented
25#19144783C211yesmaximal, characteristic, complemented
26#19144744C211yesmaximal, characteristic, complemented
27#19144737C211yesmaximal, characteristic, complemented
28#19143576C211yesmaximal, characteristic, complemented
29#19143422C211yesmaximal, characteristic, complemented
30C4×#13063352C211yesmaximal, characteristic, complemented
31C43×#2949C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34#14583634—21no—
35#14583634C2211yescharacteristic, complemented
36#14583625C2211yescharacteristic, complemented
37#14583612—21no—
38#14583612C2211yescharacteristic
39#14583612C2211yescharacteristic, complemented
40#14583608C2211yescharacteristic
41#14583599C2211yescharacteristic
42#14583598—21no—
43#14583593—21no—
44#14583593C2211yescharacteristic
45#14583593C2211yescharacteristic, complemented
46#14583590—21no—
47#14583590C2211yescharacteristic, complemented
48#14583571C2211yescharacteristic, complemented
49#14583570C2211yescharacteristic
50#14583560C2211yescharacteristic, complemented
51#14583560C2211yescharacteristic, complemented
52#14583545—21no—
53#14583539—21no—
54#14583539—21no—
55D4×D172C2211yescharacteristic
56D4×C22⋊D43C2211yescharacteristic
57D4×C22⋊D43C2211yescharacteristic
58#14583521—21no—
59#14583521C2211yescharacteristic, complemented
60#14583504—21no—
61#14583504C2211yescharacteristic
62#14583504C2211yescharacteristic, complemented
63#14583500C2211yescharacteristic
64#14583487—21no—
65#14583482—21no—
66#14583446C2211yescharacteristic
67#14583436—21no—
68#14583436C2211yescharacteristic, complemented
69#14583427—21no—
70#14583427C2211yescharacteristic
71#14583408—21no—
72C2×#13063298—21no—
73#14583381C2211yescharacteristic, complemented
74#14583371C2211yescharacteristic
75C4×#10621902C2211yescharacteristic, complemented
76C4×D4×D43C2211yescharacteristic
77#14583306C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583301C2211yescharacteristic, complemented
80#14583285C2211yescharacteristic, complemented
81#14583285C2211yescharacteristic, complemented
82#14583276C2211yescharacteristic, complemented
83#14583264C2211yescharacteristic, complemented
84#14583264C2211yescharacteristic, complemented
85#14583262C2211yescharacteristic, complemented
86#14583260C2211yescharacteristic, complemented
87#14583255C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583238C2211yescharacteristic, complemented
90#14583228C2211yescharacteristic, complemented
91#14583226C2211yescharacteristic, complemented
92#14583226C2211yescharacteristic, complemented
93#14583223C2211yescharacteristic, complemented
94#14583223C2211yescharacteristic, complemented
95#14583223C2211yescharacteristic, complemented
96#14583223C2211yescharacteristic, complemented
97#14583222C2211yescharacteristic, complemented
98#14583216C2211yescharacteristic, complemented
99#14583214C2211yescharacteristic, complemented
100#14583214C2211yescharacteristic, complemented
101#14583206C2211yescharacteristic, complemented
102#14583206C2211yescharacteristic, complemented
103#14583204C2211yescharacteristic, complemented
104#14583202C2211yescharacteristic, complemented
105#14583202C2211yescharacteristic, complemented
106#14583201C2211yescharacteristic
107#14583199C2211yescharacteristic
108#14583199C2211yescharacteristic, complemented
109#14583187C2211yescharacteristic
110#14583182C2211yescharacteristic, complemented
111#14583178C2211yescharacteristic, complemented
112#14583178C2211yescharacteristic, complemented
113#14583153C2211yescharacteristic, complemented
114#14583153C2211yescharacteristic, complemented
115#14583152C2211yescharacteristic, complemented
116#14583152C2211yescharacteristic, complemented
117#14583151C2211yescharacteristic, complemented
118#14583148C2211yescharacteristic, complemented
119#14583142C2211yescharacteristic, complemented
120#14583142C2211yescharacteristic, complemented
121#14583135C2211yescharacteristic, complemented
122#14583135C2211yescharacteristic, complemented
123#14583134C2211yescharacteristic, complemented
124#14583131C2211yescharacteristic, complemented
125#14583117C2211yescharacteristic, complemented
126#14583117C2211yescharacteristic, complemented
127#14583116C2211yescharacteristic
128#14583116C2211yescharacteristic
129#14583099C2211yescharacteristic, complemented
130#14583099C2211yescharacteristic, complemented
131#14583097C2211yescharacteristic, complemented
132#14583097C2211yescharacteristic, complemented
133#14583094C2211yescharacteristic
134#14583094C2211yescharacteristic, complemented
135#14583093C2211yescharacteristic, complemented
136#14583093C2211yescharacteristic, complemented
137#14583048C2211yescharacteristic
138#14583048C2211yescharacteristic
139#14583047C2211yescharacteristic, complemented
140#14583047C2211yescharacteristic, complemented
141#14583043C2211yescharacteristic, complemented
142#14583043C2211yescharacteristic, complemented
143#14583038C2211yescharacteristic, complemented
144#14583038C2211yescharacteristic, complemented
145#14583034C2211yescharacteristic
146#14583034C2211yescharacteristic
147#14583033C2211yescharacteristic
148#14583033C2211yescharacteristic
149#14583029C2211yescharacteristic, complemented
150#14583027C2211yescharacteristic, complemented
151#14583012C2211yescharacteristic, complemented
152#14583012C2211yescharacteristic, complemented
153#14583010C2211yescharacteristic, complemented
154#14583010C2211yescharacteristic, complemented
155#14583009C2211yescharacteristic
156#14583009C2211yescharacteristic, complemented
157#14583008C2211yescharacteristic
158#14583002C2211yescharacteristic, complemented
159#14583000C2211yescharacteristic
160#14583000C2211yescharacteristic
161#14582997C2211yescharacteristic, complemented
162#14582997C2211yescharacteristic, complemented
163C4×#10621884C2211yescharacteristic, complemented
164C4×#10621884C2211yescharacteristic, complemented
165#14582984C2211yescharacteristic, complemented
166C4×D344C2211yescharacteristic, complemented
167C4×D344C2211yescharacteristic, complemented
168C4×#10621882C2211yescharacteristic
169C4×#10621882C2211yescharacteristic, complemented
170#14582979C2211yescharacteristic
171#14582978C2211yescharacteristic, complemented
172#14582975C2211yescharacteristic, complemented
173#14582972C2211yescharacteristic, complemented
174#14582970C2211yescharacteristic, complemented
175#14582970C2211yescharacteristic, complemented
176#14582968C2211yescharacteristic, complemented
177#14582961C2211yescharacteristic, complemented
178#14582960C2211yescharacteristic, complemented
179#14582954C2211yescharacteristic, complemented
180#14582938C2211yescharacteristic, complemented
181#14582938C2211yescharacteristic, complemented
182#14582902C2211yescharacteristic
183#14582899C2211yescharacteristic, complemented
184#14582894C2211yescharacteristic, complemented
185#102×D43C2211yescharacteristic
186#14582853C2211yescharacteristic, complemented
187C4×#10621872C2211yescharacteristic, complemented
188C22×SD16×C43C2211yescharacteristic
189C43×#519C2211yescharacteristic, complemented
190C43×#518C2211yescharacteristic
191C43×#440C2211yescharacteristic
192C43×#440C2211yescharacteristic
193C43×#440C2211yescharacteristic, complemented
194C43×#440C2211yescharacteristic, complemented
195C4×SD16×C43C2211yescharacteristic
196C4×SD16×C43C2211yescharacteristic
197C4×SD16×C43C2211yescharacteristic, complemented
198C4×SD16×C43C2211yescharacteristic, complemented
199C43×#427C2211yescharacteristic, complemented
200C43×#419C2211yescharacteristic, complemented
201C43×#418C2211yescharacteristic
202C43×#405C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621898—21no—
207C22×D172—21no—
208C22×C22⋊D43—21no—
209C22×C22⋊D43—21no—
210C2×D4×D43C2311yescharacteristic
211C2×D4×D43C2311yescharacteristic
212C22×C4×D43—21no—
213#13063352—24no—
214#13063352—24no—
215C2×#10621884C2311yescharacteristic
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×D344C2311yescharacteristic
220C2×D344C2311yescharacteristic
221C2×D344C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×#10621872C2311yescharacteristic
230C2×C8×D43C2311yescharacteristic
231#13063324—21no—
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063322—21no—
235#13063322C2311yescharacteristic
236#13063322C2311yescharacteristic
237#13063321C2311yescharacteristic
238#13063321C2311yescharacteristic
239#13063320—21no—
240#13063320D411yescharacteristic
241#13063319—21no—
242#13063319—21no—
243#13063319—21no—
244#13063319—21no—
245#13063318—21no—
246#13063318D411yescharacteristic
247#13063317—21no—
248#13063317C2311yescharacteristic
249#13063317C2311yescharacteristic
250#13063316—21no—
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063315—21no—
254#13063315D411yescharacteristic
255#13063314—21no—
256#13063314—21no—
257#13063314C2311yescharacteristic
258#13063314C2311yescharacteristic
259#13063313—21no—
260#13063313—21no—
261#13063313—21no—
262#13063313—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063311D411yescharacteristic
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310D411yescharacteristic
277#13063308—21no—
278#13063308—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307D411yescharacteristic
283#13063304—21no—
284#13063303—21no—
285#13063303D411yescharacteristic
286#13063302—21no—
287#13063302—21no—
288#13063301—21no—
289#13063301—21no—
290#13063301C2311yescharacteristic
291#13063301C2311yescharacteristic
292#13063300—21no—
293#13063300—21no—
294#13063300C2311yescharacteristic
295#13063300C2311yescharacteristic
296#13063300C2311yescharacteristic
297#13063300C2311yescharacteristic
298#13063299—21no—
299#13063299—21no—
300#13063299—21no—
301#13063299—21no—
302#13063299—21no—
303#13063299C2311yescharacteristic
304#13063299C2311yescharacteristic
305#13063299C2311yescharacteristic
306#13063299C2311yescharacteristic
307#13063298—21no—
308#13063298—21no—
309#13063298—21no—
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063298—21no—
317#13063298—21no—
318#13063298—21no—
319#13063298—21no—
320#13063298D411yescharacteristic
321#13063297—21no—
322#13063297—21no—
323#13063296C2311yescharacteristic
324#13063296C2311yescharacteristic
325#13063295—21no—
326#13063295—21no—
327#13063294—21no—
328#13063294—21no—
329#13063293—21no—
330#13063293—21no—
331Q8×Dic43C2311yescharacteristic
332Q8×Dic43C2311yescharacteristic
333C4×Dic86—21no—
334C4×Dic86C2311yescharacteristic
335C4×D172—21no—
336C4×D172—21no—
337C4×D172—21no—
338C4×D172—21no—
339C4×D172—21no—
340C4×D172—21no—
341C4×D172—21no—
342C4×D172C2311yescharacteristic
343C4×D172C2311yescharacteristic
344C4×D172C2311yescharacteristic
345C4×D172C2311yescharacteristic
346C4×D172C2311yescharacteristic
347D4×Dic43C2311yescharacteristic
348D4×Dic43C2311yescharacteristic
349#13063287—21no—
350#13063287—21no—
351#13063287C2311yescharacteristic
352#13063287C2311yescharacteristic
353#13063287C2311yescharacteristic
354#13063287C2311yescharacteristic
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43—21no—
360C4×C22⋊D43—21no—
361C4×C22⋊D43C2311yescharacteristic
362C4×C22⋊D43C2311yescharacteristic
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365#13063283—21no—
366#13063283C2311yescharacteristic
367#13063283C2311yescharacteristic
368#13063282—21no—
369#13063282—21no—
370#13063282—21no—
371#13063282—21no—
372#13063282—21no—
373#13063282C2311yescharacteristic
374C2×Dic43⋊C4—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C2×(C2×D43)⋊C4—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C42×D43—21no—
382C42×D43C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395C4⋊(C43⋊C8)C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C22×Q8×C43C2311yescharacteristic
438C22×D4×C43C2311yescharacteristic
439C2×SD16×C43—24no—
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×M16×C43C2311yescharacteristic
445C22×C8×C43C2311yescharacteristic
446C4×Q8×C43—21no—
447C4×Q8×C43—21no—
448C4×Q8×C43C2311yescharacteristic
449C4×Q8×C43C2311yescharacteristic
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×D4×C43—21no—
453C4×D4×C43—21no—
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43—21no—
459#117×C43—21no—
460#117×C43C2311yescharacteristic
461#117×C43C2311yescharacteristic
462#117×C43C2311yescharacteristic
463C2×C22⋊C4×C43—21no—
464C2×C22⋊C4×C43—21no—
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C24×C43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C2×Q8×C43—21no—
485C2×Q8×C43—22no—
486C2×Q8×C43—41no—
487C2×Q8×C43C2411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43—22no—
491C2×D4×C43—41no—
492C2×D4×C43C2411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43C2411yescharacteristic
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—82no—
513C2×C22⋊D43—82no—
514C2×C22⋊D43C2×D411yescharacteristic
515C2×C22⋊D43C2×D411yescharacteristic
516C22×Dic43—21no—
517C22×Dic43—21no—
518#10621902—22no—
519#10621902—22no—
520#10621902—41no—
521#10621902—41no—
522D4×D43—22no—
523D4×D43—22no—
524D4×D43—41no—
525D4×D43—41no—
526#10621898—82no—
527#10621898—82no—
528C2×D172—21no—
529C2×D172—21no—
530C2×D172—21no—
531C2×D172—21no—
532C2×D172—21no—
533C2×D172—21no—
534C2×D172—21no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—82no—
539C2×D172C2×D411yescharacteristic
540C2×D172C2411yescharacteristic
541C2×D172C2411yescharacteristic
542C2×D172C2411yescharacteristic
543C2×D172C2411yescharacteristic
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—82no—
557C2×C4×D43C2×D411yescharacteristic
558C2×C4×D43C2×D411yescharacteristic
559C2×C4×D43C2411yescharacteristic
560C2×C4×D43C2411yescharacteristic
561C2×Dic86—21no—
562C2×Dic86—21no—
563C2×Dic86C2×D411yescharacteristic
564SD16×C43—22no—
565SD16×C43—22no—
566SD16×C43—22no—
567SD16×C43#4114yescomplemented
568M16×C43—41no—
569C2×C8×C43—22no—
570C2×C8×C43C2411yescharacteristic
571C2×C8×C43C2411yescharacteristic
572C2×C8×C43C2411yescharacteristic
573C2×C8×C43C2411yescharacteristic
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43C2×D411yescharacteristic
579C4⋊C4×C43C2×D411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C4⋊C4×C43C2411yescharacteristic
582C4⋊C4×C43C2411yescharacteristic
583C4⋊C4×C43C2411yescharacteristic
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43C2×D411yescharacteristic
591C22⋊C4×C43C2×D411yescharacteristic
592C42×C43—21no—
593C42×C43—21no—
594C42×C43—21no—
595C42×C43—21no—
596C42×C43—21no—
597C42×C43—21no—
598C42×C43C2411yescharacteristic
599C42×C43C2411yescharacteristic
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43C2×D411yescharacteristic
605C22⋊Dic43C2×D411yescharacteristic
606#10621884—22no—
607#10621884—22no—
608#10621884—41no—
609#10621884—41no—
610#10621882—22no—
611#10621882—22no—
612#10621882—41no—
613#10621882—41no—
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)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4C2×D411yescharacteristic
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641(C2×D43)⋊C4C2×D411yescharacteristic
642(C2×D43)⋊C4C2×D411yescharacteristic
643(C2×D43)⋊C4C2×D411yescharacteristic
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43C2×D411yescharacteristic
649C4⋊Dic43C2×D411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
671Dic43⋊C4C2×D411yescharacteristic
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43C2×D411yescharacteristic
677C4×Dic43C2×D411yescharacteristic
678C4×Dic43C2411yescharacteristic
679C4×Dic43C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684D344—22no—
685D344—22no—
686D344—41no—
687D344—41no—
688#10621872—22no—
689#10621872—22no—
690#10621872—41no—
691C8×D43—41no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—42no—
695C23×C43—81no—
696C23×C43—81no—
697C23×C43C22×D411yescharacteristic
698C22×D43—21no—
699C22×D43—21no—
700C22×D43—21no—
701C22×D43—21no—
702C22×D43—42no—
703C22×D43—42no—
704C22×D43—42no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43—81no—
708C22×D43C22×D411yescharacteristic
709C22×D43C22×D411yescharacteristic
710Q8×C43—21no—
711Q8×C43—21no—
712Q8×C43—21no—
713Q8×C43—42no—
714Q8×C43C2×#4112yes—
715D4×C43—21no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—42no—
719D4×C43C2×#4112yes—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—42no—
729C2×C4×C43—81no—
730C2×C4×C43—81no—
731C2×C4×C43—81no—
732C2×C4×C43—81no—
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—41no—
740C22⋊D43—41no—
741C22⋊D43—42no—
742C22⋊D43—42no—
743C22⋊D43—42no—
744C22⋊D43—42no—
745C22⋊D43—81no—
746C22⋊D43—81no—
747C22⋊D43—81no—
748C22⋊D43—81no—
749C22⋊D43—81no—
750C22⋊D43—81no—
751C22⋊D43—81no—
752C22⋊D43—81no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—42no—
758C2×Dic43—81no—
759C2×Dic43C22×D411yescharacteristic
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765D172—21no—
766D172—21no—
767D172—21no—
768D172—21no—
769D172—21no—
770D172—21no—
771D172—21no—
772D172—21no—
773D172—41no—
774D172—42no—
775D172—42no—
776D172—42no—
777D172—81no—
778D172—81no—
779D172—81no—
780D172—81no—
781D172—81no—
782D172—81no—
783D172—81no—
784C4×D43—21no—
785C4×D43—21no—
786C4×D43—21no—
787C4×D43—21no—
788C4×D43—41no—
789C4×D43—41no—
790C4×D43—42no—
791C4×D43—42no—
792C4×D43—42no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802Dic86—41no—
803Dic86—81no—
804Dic86—81no—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43C2×#4112yes—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8—21no—
813#61504—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—22no—
817C22×C43—21no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—162no—
824C22×C43C23×D411yescharacteristic
825C2×D43—21no—
826C2×D43—21no—
827C2×D43—21no—
828C2×D43—21no—
829C2×D43—21no—
830C2×D43—21no—
831C2×D43—41no—
832C2×D43—41no—
833C2×D43—41no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—84no—
844C2×D43—162no—
845C4×C43—21no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—22no—
850C4×C43—21no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855C4×C43—41no—
856C4×C43C22×#4111yescharacteristic
857C4×C43#58511yescharacteristic
858Dic43—21no—
859Dic43—21no—
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
863Dic43—21no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868#3524—431no—
869#3519—431no—
870#3399—431no—
871#3388—431no—
872#3370—431no—
873#3368—431no—
874#3351—431no—
875#3347—431no—
876#3347—431no—
877#3326—431no—
878#3325—431no—
879#3321—431no—
880#3318—431no—
881#3310—431no—
882#3309—431no—
883#3274—431no—
884#3265—431no—
885#3265—431no—
886#3179—431no—
887#3176—431no—
888#3171—431no—
889#3126—431no—
890#3122—431no—
891#3119—431no—
892#3118—431no—
893#3115—431no—
894#3114—431no—
895#2967—431no—
896#2949D4311yescharacteristic, complemented
897#2946—431no—
898C4×AGL(1,ℤ/8)—431no—
899C2×C43—42no—
900C2×C43—41no—
901C2×C43—81no—
902C2×C43D4×#4111yescharacteristic
903C2×C43#358511yescharacteristic
904C2×C43#358511yescharacteristic
905D43—41no—
906D43—41no—
907D43—81no—
908D43—81no—
909D43—81no—
910D43—81no—
911C2×AGL(1,ℤ/8)—431no—
912C2×AGL(1,ℤ/8)—431no—
913C22×SD16C2×D4311yescharacteristic
914#559—431no—
915#559—861no—
916#557—431no—
917#555—431no—
918#555—431no—
919#555—861no—
920#554—431no—
921#553—431no—
922#553—431no—
923#553—431no—
924#553—861no—
925#553—861no—
926#552—431no—
927#552—861no—
928#550—431no—
929#550—431no—
930#548—431no—
931#548—431no—
932#546—861no—
933#546—861no—
934#546—861no—
935D42—431no—
936D42—431no—
937D42—431no—
938#542—431no—
939#542—861no—
940#540—431no—
941#540—431no—
942#540—431no—
943#540—861no—
944#538—861no—
945#538—861no—
946#532—431no—
947#529—431no—
948#529—431no—
949#529—861no—
950#529—861no—
951#525—861no—
952C2×#121—861no—
953#520—431no—
954#519C2×D4311yescharacteristic, complemented
955#518—431no—
956#518C2×D4311yescharacteristic
957C4×#41—431no—
958C2×C4×D4—431no—
959#501—431no—
960#501—431no—
961#499—431no—
962#496—431no—
963#496—431no—
964#493—431no—
965#490—431no—
966#490—431no—
967#490—431no—
968#489—431no—
969#488—431no—
970#486—431no—
971#485—431no—
972#483—431no—
973#482—431no—
974#482—431no—
975#482—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482—431no—
980#481—431no—
981#480—431no—
982#480—431no—
983#479—431no—
984#479—431no—
985#479—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#478—431no—
991#476—431no—
992#475—431no—
993#474—431no—
994#474—431no—
995#469—431no—
996#469—431no—
997#469—431no—
998#469—431no—
999#469—431no—
1000#468—431no—
1001#468—431no—
1002#468—431no—
1003#466—431no—
1004#466—431no—
1005#466—431no—
1006#465—431no—
1007#463—431no—
1008#463—431no—
1009#463—431no—
1010#463—431no—
1011#460—431no—
1012#460—431no—
1013#460—431no—
1014#460—431no—
1015#459—431no—
1016#459—431no—
1017#459—431no—
1018#459—431no—
1019#450—431no—
1020#450—431no—
1021#449—431no—
1022#449—431no—
1023#449—431no—
1024#449—431no—
1025#448—431no—
1026#448—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#447—431no—
1031#446—431no—
1032#446—431no—
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#440—431no—
1041#440—431no—
1042#440—431no—
1043#440—431no—
1044#440—431no—
1045#440C2×D4311yescharacteristic
1046#440C2×D4311yescharacteristic
1047#440C2×D4311yescharacteristic, complemented
1048#440C2×D4311yescharacteristic, complemented
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16C2×D4311yescharacteristic
1053C4×SD16C2×D4311yescharacteristic
1054C4×SD16C2×D4311yescharacteristic, complemented
1055C4×SD16C2×D4311yescharacteristic, complemented
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061#436—431no—
1062#436—431no—
1063#435—431no—
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#433—431no—
1068#433—431no—
1069#432—431no—
1070#428—431no—
1071#428—431no—
1072#427C2×D4311yescharacteristic, complemented
1073#419C2×D4311yescharacteristic, complemented
1074#418—431no—
1075#418C2×D4311yescharacteristic
1076#417—431no—
1077#416—431no—
1078C2×#102—431no—
1079#405—431no—
1080#405C2×D4311yescharacteristic, complemented
1081C4×M16—431no—
1082C43#6150411yescharacteristic, complemented, Sylow
1083C2×#41—431no—
1084C2×#41—431no—
1085C2×#41—861no—
1086C2×#41—861no—
1087C22×Q8C22×D4311yescharacteristic
1088C22×D4—431no—
1089C22×D4—431no—
1090C22×D4—861no—
1091C22×D4—861no—
1092C22×D4—861no—
1093C22×D4C22×D4311yescharacteristic
1094C23×C4—861no—
1095AGL(1,ℤ/8)—864no—
1096AGL(1,ℤ/8)—864no—
1097C2×SD16—24no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16C22×D4311yescharacteristic
1103C2×SD16C22×D4311yescharacteristic
1104C2×SD16C22×D4311yescharacteristic
1105C2×SD16C22×D4311yescharacteristic
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—431no—
1113C2×D8—431no—
1114C2×M16—431no—
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16C22×D4311yescharacteristic
1118C22×C8—431no—
1119C22×C8C22×D4311yescharacteristic
1120C4⋊Q8—431no—
1121C4⋊Q8—431no—
1122C4⋊Q8—861no—
1123#127—431no—
1124#127—431no—
1125#127—431no—
1126#127—431no—
1127#127—861no—
1128#126—431no—
1129#126—431no—
1130#126—861no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#125—431no—
1137#125—431no—
1138#125—431no—
1139#125—431no—
1140#125—431no—
1141#125—861no—
1142#125—861no—
1143#125—861no—
1144#124—431no—
1145#124—431no—
1146#124—431no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124—861no—
1156#123—431no—
1157#123—431no—
1158#123—861no—
1159#123—861no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172C22⋊Q8—431no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181#121—431no—
1182#121—431no—
1183#121—431no—
1184#121—431no—
1185#121—431no—
1186#121—431no—
1187#121—431no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—431no—
1192#121—861no—
1193#121—861no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121—861no—
1213#121—861no—
1214#120—861no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220C4×Q8—21no—
1221C4×Q8—21no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—861no—
1226C4×Q8C22×D4311yescharacteristic
1227C4×Q8C22×D4311yescharacteristic
1228C4×Q8C22×D4311yescharacteristic
1229C4×Q8C22×D4311yescharacteristic
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—431no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4C22×D4311yescharacteristic
1263C4×D4C22×D4311yescharacteristic
1264C4×D4C22×D4311yescharacteristic
1265C4×D4C22×D4311yescharacteristic
1266#117—21no—
1267#117—21no—
1268#117—431no—
1269#117—431no—
1270#117—431no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117—861no—
1275#117—861no—
1276#117—861no—
1277#117C22×D4311yescharacteristic
1278#117C22×D4311yescharacteristic
1279#117C22×D4311yescharacteristic
1280C2×C4⋊C4—431no—
1281C2×C4⋊C4—431no—
1282C2×C4⋊C4—861no—
1283C2×C4⋊C4—861no—
1284C2×C22⋊C4—21no—
1285C2×C22⋊C4—21no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C42—431no—
1290C2×C42—861no—
1291#107—431no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#107—431no—
1297#107C22×D4311yescharacteristic
1298#107C22×D4311yescharacteristic
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106C22×D4311yescharacteristic
1306#106C22×D4311yescharacteristic
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312C4⋊C8—431no—
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103C22×D4311yescharacteristic
1318#103C22×D4311yescharacteristic
1319#103C22×D4311yescharacteristic
1320#103C22×D4311yescharacteristic
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344#102C22×D4311yescharacteristic
1345C22⋊C8—431no—
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350C22⋊C8—431no—
1351#97—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97C22×D4311yescharacteristic
1356#97C22×D4311yescharacteristic
1357C4×C8—431no—
1358C4×C8—431no—
1359C4×C8C22×D4311yescharacteristic
1360C4×C8C22×D4311yescharacteristic
1361C24—21no—
1362C24—861no—
1363C24—861no—
1364#41—862no—
1365#41—862no—
1366#41—3442no—
1367#41—3442no—
1368#41—1721no—
1369#41—1721no—
1370C2×Q8—21no—
1371C2×Q8—22no—
1372C2×Q8—41no—
1373C2×Q8—431no—
1374C2×Q8—861no—
1375C2×Q8—861no—
1376C2×Q8C23×D4311yescharacteristic
1377C2×Q8C23×D4311yescharacteristic
1378C2×D4—22no—
1379C2×D4—21no—
1380C2×D4—41no—
1381C2×D4—431no—
1382C2×D4—431no—
1383C2×D4—431no—
1384C2×D4—431no—
1385C2×D4—431no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—861no—
1389C2×D4—861no—
1390C2×D4—861no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—862no—
1401C2×D4—862no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—861no—
1411C2×D4—861no—
1412C2×D4—3442no—
1413C2×D4—3442no—
1414C2×D4—3442no—
1415C2×D4—1721no—
1416C2×D4—1721no—
1417C2×D4C23×D4311yescharacteristic
1418C2×D4C23×D4311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—431no—
1425C22×C4—431no—
1426C22×C4—431no—
1427C22×C4—431no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—3442no—
1443C22×C4C23×D4311yescharacteristic
1444SD16—22no—
1445SD16—22no—
1446SD16—22no—
1447SD16—862no—
1448SD16—862no—
1449SD16—1721no—
1450SD16—1721no—
1451SD16#1062189814yescomplemented
1452D8—862no—
1453D8—862no—
1454D8—862no—
1455D8—862no—
1456D8—1721no—
1457D8—1721no—
1458D8—1721no—
1459D8—1721no—
1460M16—41no—
1461M16—862no—
1462M16—862no—
1463M16—1721no—
1464C2×C8—22no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—431no—
1469C2×C8—1721no—
1470C2×C8C23×D4311yescharacteristic
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C2×C8C23×D4311yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—431no—
1479C4⋊C4—431no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—431no—
1483C4⋊C4—431no—
1484C4⋊C4—431no—
1485C4⋊C4—431no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—431no—
1489C4⋊C4—431no—
1490C4⋊C4—861no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4D4×D4311yescharacteristic
1507C4⋊C4D4×D4311yescharacteristic
1508C4⋊C4C23×D4311yescharacteristic
1509C4⋊C4C23×D4311yescharacteristic
1510C4⋊C4C23×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—431no—
1519C22⋊C4—431no—
1520C22⋊C4—431no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4D4×D4311yescharacteristic
1555C22⋊C4D4×D4311yescharacteristic
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—431no—
1563C42—431no—
1564C42—431no—
1565C42—431no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42C23×D4311yescharacteristic
1571C42C23×D4311yescharacteristic
1572C23—21no—
1573C23—21no—
1574C23—42no—
1575C23—81no—
1576C23—81no—
1577C23—431no—
1578C23—431no—
1579C23—861no—
1580C23—861no—
1581C23—861no—
1582C23—861no—
1583C23—3441no—
1584C23—3441no—
1585C23—3441no—
1586C23—1722no—
1587C23—1722no—
1588C23—1722no—
1589C23C2×D4×D4311yescharacteristic
1590Q8—21no—
1591Q8—21no—
1592Q8—21no—
1593Q8—42no—
1594Q8—3441no—
1595Q8—3441no—
1596Q8—1721no—
1597Q8C2×#1062189812yes—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—42no—
1602D4—861no—
1603D4—861no—
1604D4—861no—
1605D4—861no—
1606D4—861no—
1607D4—861no—
1608D4—861no—
1609D4—861no—
1610D4—3441no—
1611D4—3441no—
1612D4—3441no—
1613D4—3441no—
1614D4—3441no—
1615D4—3441no—
1616D4—3441no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—1721no—
1626D4—1722no—
1627D4—1722no—
1628D4—1722no—
1629D4—1721no—
1630D4—1721no—
1631D4—1722no—
1632D4—1722no—
1633D4—1722no—
1634D4—1722no—
1635D4C2×#1062189812yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—42no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—431no—
1650C2×C4—431no—
1651C2×C4—431no—
1652C2×C4—431no—
1653C2×C4—431no—
1654C2×C4—431no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—861no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—3441no—
1672C2×C4—3441no—
1673C2×C4—1721no—
1674C2×C4—1721no—
1675C2×C4—1722no—
1676C2×C4—1722no—
1677C2×C4—1722no—
1678C2×C4—1722no—
1679C2×C4C2×D4×D4311yescharacteristic
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C2×D4×D4311yescharacteristic
1684C2×C4C24×D4311yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—861no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C8C2×#1062189812yes—
1693C22—21no—
1694C22—22no—
1695C22—21no—
1696C22—21no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—162no—
1703C22—861no—
1704C22—861no—
1705C22—861no—
1706C22—861no—
1707C22—861no—
1708C22—861no—
1709C22—3444no—
1710C22—1721no—
1711C22—1721no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—6882no—
1723C22C22×D4×D4311yescharacteristic
1724C4—21no—
1725C4—22no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—861no—
1736C4—861no—
1737C4—861no—
1738C4—861no—
1739C4—861no—
1740C4—861no—
1741C4—1721no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4C22×#1062189811yescharacteristic
1746C4#1458373511yescharacteristic
1747C2—41no—
1748C2—42no—
1749C2—81no—
1750C2—3441no—
1751C2—3441no—
1752C2—3441no—
1753C2—3441no—
1754C2—1721no—
1755C2—1721no—
1756C2D4×#1062189811yescharacteristic
1757C2#1914937311yescharacteristic
1758C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#2949C2
socleC22×C43C23×D4
hypercenter#2949D43
hypocenterC43#61504
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #2949

Complements

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

NH ≅ G/Ntype
1. #19148706C2semidirect
2. #19148617C2semidirect
3. #19147635C2semidirect
4. #19147536C2semidirect
5. #19147349C2semidirect
6. #19147325C2semidirect
7. #19147160C2semidirect
8. #19147091C2semidirect
9. #19147091C2semidirect
10. #19146844C2semidirect
11. #19146833C2semidirect
12. #19146782C2semidirect
13. #19146737C2semidirect
14. #19146621C2semidirect
15. #19146606C2semidirect
16. #19146216C2semidirect
17. #19146090C2semidirect
18. #19146090C2semidirect
19. #19145274C2semidirect
20. #19145245C2semidirect
21. #19145186C2semidirect
22. #19144886C2semidirect
23. #19144838C2semidirect
24. #19144792C2semidirect
25. #19144783C2semidirect
26. #19144744C2semidirect
27. #19144737C2semidirect
28. #19143576C2semidirect
29. #19143422C2semidirect
30. C4×#13063352C2semidirect
31. C43×#2949C2semidirect
35. #14583634C22semidirect
36. #14583625C22semidirect
39. #14583612C22semidirect
45. #14583593C22semidirect
47. #14583590C22semidirect
48. #14583571C22semidirect
50. #14583560C22semidirect
51. #14583560C22semidirect
59. #14583521C22semidirect
62. #14583504C22semidirect
68. #14583436C22semidirect
73. #14583381C22semidirect
75. C4×#10621902C22semidirect
77. #14583306C22semidirect
78. #14583306C22semidirect
79. #14583301C22semidirect
80. #14583285C22semidirect
81. #14583285C22semidirect
82. #14583276C22semidirect
83. #14583264C22semidirect
84. #14583264C22semidirect
85. #14583262C22semidirect
86. #14583260C22semidirect
87. #14583255C22semidirect
88. #14583244C22semidirect
89. #14583238C22semidirect
90. #14583228C22semidirect
91. #14583226C22semidirect
92. #14583226C22semidirect
93. #14583223C22semidirect
94. #14583223C22semidirect
95. #14583223C22semidirect
96. #14583223C22semidirect
97. #14583222C22semidirect
98. #14583216C22semidirect
99. #14583214C22semidirect
100. #14583214C22semidirect
101. #14583206C22semidirect
102. #14583206C22semidirect
103. #14583204C22semidirect
104. #14583202C22semidirect
105. #14583202C22semidirect
108. #14583199C22semidirect
110. #14583182C22semidirect
111. #14583178C22semidirect
112. #14583178C22semidirect
113. #14583153C22semidirect
114. #14583153C22semidirect
115. #14583152C22semidirect
116. #14583152C22semidirect
117. #14583151C22semidirect
118. #14583148C22semidirect
119. #14583142C22semidirect
120. #14583142C22semidirect
121. #14583135C22semidirect
122. #14583135C22semidirect
123. #14583134C22semidirect
124. #14583131C22semidirect
125. #14583117C22semidirect
126. #14583117C22semidirect
129. #14583099C22semidirect
130. #14583099C22semidirect
131. #14583097C22semidirect
132. #14583097C22semidirect
134. #14583094C22semidirect
135. #14583093C22semidirect
136. #14583093C22semidirect
139. #14583047C22semidirect
140. #14583047C22semidirect
141. #14583043C22semidirect
142. #14583043C22semidirect
143. #14583038C22semidirect
144. #14583038C22semidirect
149. #14583029C22semidirect
150. #14583027C22semidirect
151. #14583012C22semidirect
152. #14583012C22semidirect
153. #14583010C22semidirect
154. #14583010C22semidirect
156. #14583009C22semidirect
158. #14583002C22semidirect
161. #14582997C22semidirect
162. #14582997C22semidirect
163. C4×#10621884C22semidirect
164. C4×#10621884C22semidirect
165. #14582984C22semidirect
166. C4×D344C22semidirect
167. C4×D344C22semidirect
169. C4×#10621882C22semidirect
171. #14582978C22semidirect
172. #14582975C22semidirect
173. #14582972C22semidirect
174. #14582970C22semidirect
175. #14582970C22semidirect
176. #14582968C22semidirect
177. #14582961C22semidirect
178. #14582960C22semidirect
179. #14582954C22semidirect
180. #14582938C22semidirect
181. #14582938C22semidirect
183. #14582899C22semidirect
184. #14582894C22semidirect
186. #14582853C22semidirect
187. C4×#10621872C22semidirect
189. C43×#519C22semidirect
193. C43×#440C22semidirect
194. C43×#440C22semidirect
197. C4×SD16×C43C22semidirect
198. C4×SD16×C43C22semidirect
199. C43×#427C22semidirect
200. C43×#419C22semidirect
202. C43×#405C22semidirect
567. SD16×C43#41semidirect
896. #2949D43semidirect
954. #519C2×D43semidirect
1047. #440C2×D43semidirect
1048. #440C2×D43semidirect
1054. C4×SD16C2×D43semidirect
1055. C4×SD16C2×D43semidirect
1072. #427C2×D43semidirect
1073. #419C2×D43semidirect
1080. #405C2×D43semidirect
1082. C43#61504semidirect
1451. SD16#10621898semidirect

Maximal subgroups

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

subgroupindex
#191487062
#191486172
#191476352
#191475362
#191473492
#191473252
#191471602
#191470912
#191468442
#191468332
#191467822
#191467372
#191466212
#191466062
#191462162
#191460902
#191452742
#191452452
#191451862
#191448862
#191448382
#191447922
#191447832
#191447442
#191447372
#191435762
#191434222
C4×#130633522
C43×#29492
#6150443