Finite Group Databasebeta

← C47×#61066 #26100764

Subgroups — C47×#61066 #26100764

Order 12032.

2912 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C47×#575C211yesmaximal, characteristic, complemented
2C22×AGL(1,ℤ/8)×C47C211yesmaximal, characteristic, complemented
3D4×#41×C47C211yesmaximal, characteristic, complemented
4C2×C47×#546C211yesmaximal, characteristic, complemented
5C47×#3282C212yesmaximal, complemented
6C47×#3280C212yesmaximal, complemented
7C47×#3275C212yesmaximal, complemented
8C47×#3273C212yesmaximal, complemented
9C47×#3268C212yesmaximal, complemented
10C47×#3267C212yesmaximal, complemented
11C47×#3266C212yesmaximal, complemented
12C47×#3264C212yesmaximal, complemented
13C47×#3153C211yesmaximal, characteristic, complemented
14C47×#3056C211yesmaximal, characteristic, complemented
15C47×#3055C211yesmaximal, characteristic, complemented
16C47×#3040C211yesmaximal, characteristic, complemented
17C47×#3036C211yesmaximal, characteristic, complemented
18C47×#3007C211yesmaximal, characteristic, complemented
19C47×#3006C211yesmaximal, characteristic, complemented
20C47×#3005C211yesmaximal, characteristic, complemented
21C47×#3003C211yesmaximal, characteristic, complemented
22C4×AGL(1,ℤ/8)×C47C211yesmaximal, characteristic, complemented
23D4×M16×C47C211yesmaximal, characteristic, complemented
24C22×#41×C47C2211yescharacteristic
25C22×#41×C47C2211yescharacteristic, complemented
26C22×#41×C47C2211yescharacteristic, complemented
27C23×D4×C47C2211yescharacteristic, complemented
28C47×#575—28no—
29C2×#137×C47C2211yescharacteristic, complemented
30C2×#137×C47C2211yescharacteristic, complemented
31C2×#137×C47C2211yescharacteristic, complemented
32C2×#137×C47C2212yescomplemented
33C2×AGL(1,ℤ/8)×C47—28no—
34C2×AGL(1,ℤ/8)×C47C2211yescharacteristic
35C2×AGL(1,ℤ/8)×C47C2211yescharacteristic
36C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
37C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
38C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
39C2×AGL(1,ℤ/8)×C47C2212yescomplemented
40C2×AGL(1,ℤ/8)×C47C2212yescomplemented
41C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
42C2×AGL(1,ℤ/8)×C47C2212yescomplemented
43C2×#135×C47C2212yescomplemented
44C2×#135×C47C2212yescomplemented
45C22×SD16×C47C2212yescomplemented
46C22×D8×C47C2212yescomplemented
47C22×M16×C47C2211yescharacteristic, complemented
48C22×M16×C47C2211yescharacteristic, complemented
49C47×#550C2211yescharacteristic, complemented
50D4×Q8×C47C2211yescharacteristic, complemented
51C47×#548C2211yescharacteristic, complemented
52C47×#548C2211yescharacteristic, complemented
53C47×#547—21no—
54C47×#547C2211yescharacteristic, complemented
55C47×#546—21no—
56C47×#546—21no—
57C47×#546—21no—
58C47×#546—21no—
59C47×#546—21no—
60C47×#546—21no—
61C47×#546C2212yes—
62C47×#546C2212yescomplemented
63C47×#546C2212yescomplemented
64C47×#546C2212yescomplemented
65C47×#546C2211yescharacteristic, complemented
66C47×#546C2211yescharacteristic, complemented
67D42×C47—21no—
68D42×C47C2211yescharacteristic, complemented
69C47×#532—21no—
70C47×#532C2211yescharacteristic, complemented
71C2×#124×C47C2211yescharacteristic, complemented
72C47×#525—21no—
73C47×#525—21no—
74C47×#525C2211yescharacteristic
75C47×#525C2211yescharacteristic, complemented
76C2×#123×C47—21no—
77C2×C22⋊Q8×C47C2211yescharacteristic, complemented
78C2×#121×C47—21no—
79C2×#121×C47C2211yescharacteristic, complemented
80C2×#120×C47—21no—
81C4×#41×C47C2211yescharacteristic, complemented
82C2×C4×D4×C47—21no—
83C2×C4×D4×C47C2211yescharacteristic
84C2×C4×D4×C47C2211yescharacteristic, complemented
85C22×C22⋊C4×C47—21no—
86C47×#497C2212yescomplemented
87C47×#496C2212yescomplemented
88C47×#495C2212yescomplemented
89C47×#495C2212yescomplemented
90C47×#470C2212yescomplemented
91C47×#469C2212yescomplemented
92C47×#468C2212yescomplemented
93C47×#468C2212yescomplemented
94C47×#467C2212yescomplemented
95C47×#466C2212yescomplemented
96C47×#465C2212yescomplemented
97C47×#465C2212yescomplemented
98C47×#464C2212yescomplemented
99C47×#464C2212yescomplemented
100C47×#463C2212yescomplemented
101C47×#463C2212yescomplemented
102C47×#463C2212yescomplemented
103C47×#463C2212yescomplemented
104C47×#461C2212yescomplemented
105C47×#459C2212yescomplemented
106C47×#452C2212yescomplemented
107C47×#452C2212yescomplemented
108C47×#452C2212yescomplemented
109C47×#452C2212yescomplemented
110C47×#451C2212yescomplemented
111C47×#450C2212yescomplemented
112C47×#450C2212yescomplemented
113C47×#450C2212yescomplemented
114C47×#449C2212yescomplemented
115C47×#449C2212yescomplemented
116C47×#449C2212yescomplemented
117C47×#449C2212yescomplemented
118C47×#448C2212yescomplemented
119C47×#447C2212yescomplemented
120C47×#447C2212yescomplemented
121C47×#447C2212yescomplemented
122C47×#442C2212yescomplemented
123C47×#440C2212yescomplemented
124C4×SD16×C47C2212yescomplemented
125C4×D8×C47C2212yescomplemented
126C47×#436C2212yescomplemented
127C47×#435C2212yescomplemented
128C47×#435C2212yescomplemented
129C8×D4×C47C2212yescomplemented
130C47×#428C2211yescharacteristic, complemented
131C47×#423C2211yescharacteristic, complemented
132C47×#419C2211yescharacteristic, complemented
133C47×#418C2211yescharacteristic, complemented
134C47×#418C2211yescharacteristic, complemented
135C47×#417C2211yescharacteristic, complemented
136C47×#417C2211yescharacteristic, complemented
137C47×#417C2211yescharacteristic, complemented
138C47×#407C2211yescharacteristic, complemented
139C47×#407C2211yescharacteristic, complemented
140C4×M16×C47C2211yescharacteristic, complemented
141C25×C47—21no—
142C2×#41×C47—21no—
143C2×#41×C47—21no—
144C2×#41×C47—21no—
145C2×#41×C47—21no—
146C2×#41×C47—21no—
147C2×#41×C47—21no—
148C2×#41×C47—24no—
149C2×#41×C47—24no—
150C2×#41×C47—24no—
151C2×#41×C47—42no—
152C2×#41×C47—42no—
153C2×#41×C47—42no—
154C2×#41×C47C2311yescharacteristic
155C2×#41×C47C2311yescharacteristic
156C2×#41×C47C2312yes—
157C2×#41×C47C2312yes—
158C2×#41×C47C2311yescharacteristic
159C2×#41×C47C2311yescharacteristic
160C2×#41×C47C2311yescharacteristic
161C2×#41×C47C2311yescharacteristic, complemented
162C2×#41×C47C2311yescharacteristic, complemented
163C22×Q8×C47C2311yescharacteristic
164C22×Q8×C47C2311yescharacteristic
165C22×Q8×C47C2311yescharacteristic, complemented
166C22×D4×C47—24no—
167C22×D4×C47—21no—
168C22×D4×C47—21no—
169C22×D4×C47—21no—
170C22×D4×C47—21no—
171C22×D4×C47—21no—
172C22×D4×C47—21no—
173C22×D4×C47—21no—
174C22×D4×C47—21no—
175C22×D4×C47—42no—
176C22×D4×C47D411yescharacteristic
177C22×D4×C47C2311yescharacteristic
178C22×D4×C47C2311yescharacteristic
179C22×D4×C47C2312yes—
180C22×D4×C47C2312yes—
181C22×D4×C47C2311yescharacteristic
182C22×D4×C47C2311yescharacteristic, complemented
183C23×C4×C47—21no—
184C23×C4×C47—21no—
185C23×C4×C47—21no—
186C23×C4×C47—21no—
187C23×C4×C47C2311yescharacteristic
188C23×C4×C47C2311yescharacteristic
189#137×C47—24no—
190#137×C47—28no—
191#137×C47—24no—
192#137×C47—42no—
193AGL(1,ℤ/8)×C47—24no—
194AGL(1,ℤ/8)×C47—24no—
195AGL(1,ℤ/8)×C47—24no—
196AGL(1,ℤ/8)×C47—28no—
197AGL(1,ℤ/8)×C47—28no—
198AGL(1,ℤ/8)×C47—28no—
199AGL(1,ℤ/8)×C47—24no—
200AGL(1,ℤ/8)×C47—42no—
201AGL(1,ℤ/8)×C47D418yescomplemented
202#135×C47—28no—
203#135×C47—28no—
204C2×Q16×C47C2312yescomplemented
205C2×Q16×C47C2312yescomplemented
206C2×Q16×C47C2312yescomplemented
207C2×SD16×C47—28no—
208C2×SD16×C47C2312yes—
209C2×SD16×C47C2312yes—
210C2×SD16×C47C2312yes—
211C2×SD16×C47C2312yes—
212C2×SD16×C47C2312yes—
213C2×SD16×C47C2312yes—
214C2×SD16×C47C2312yescomplemented
215C2×SD16×C47C2312yescomplemented
216C2×SD16×C47C2312yescomplemented
217C2×D8×C47—28no—
218C2×D8×C47C2312yes—
219C2×D8×C47C2312yes—
220C2×D8×C47C2312yes—
221C2×D8×C47C2312yes—
222C2×D8×C47C2312yes—
223C2×D8×C47C2312yes—
224C2×M16×C47—24no—
225C2×M16×C47—24no—
226C2×M16×C47C2312yes—
227C2×M16×C47C2311yescharacteristic
228C2×M16×C47C2311yescharacteristic
229C2×M16×C47C2311yescharacteristic
230C2×M16×C47C2311yescharacteristic
231C2×M16×C47C2312yescomplemented
232C22×C8×C47C2312yes—
233C22×C8×C47C2312yescomplemented
234C4⋊Q8×C47—21no—
235C4⋊Q8×C47C2311yescharacteristic, complemented
236#127×C47—21no—
237#127×C47C2311yescharacteristic, complemented
238#124×C47—21no—
239#124×C47—21no—
240#124×C47—21no—
241#124×C47—21no—
242#124×C47C2312yes—
243#124×C47C2312yes—
244#124×C47C2311yescharacteristic, complemented
245#124×C47C2311yescharacteristic, complemented
246#123×C47—21no—
247#123×C47—21no—
248#123×C47—22no—
249#123×C47—22no—
250#123×C47—22no—
251#123×C47—22no—
252#123×C47—21no—
253#123×C47—21no—
254#123×C47—21no—
255#123×C47—21no—
256C22⋊Q8×C47—21no—
257C22⋊Q8×C47—21no—
258C22⋊Q8×C47—21no—
259C22⋊Q8×C47—21no—
260C22⋊Q8×C47—21no—
261C22⋊Q8×C47—21no—
262C22⋊Q8×C47C2311yescharacteristic
263C22⋊Q8×C47C2311yescharacteristic
264C22⋊Q8×C47C2312yes—
265C22⋊Q8×C47C2312yes—
266C22⋊Q8×C47C2311yescharacteristic, complemented
267C22⋊Q8×C47C2311yescharacteristic, complemented
268#121×C47—21no—
269#121×C47—21no—
270#121×C47—21no—
271#121×C47—21no—
272#121×C47—21no—
273#121×C47—21no—
274#121×C47—21no—
275#121×C47—21no—
276#121×C47—22no—
277#121×C47—22no—
278#121×C47—22no—
279#121×C47—22no—
280#121×C47—21no—
281#121×C47—21no—
282#121×C47—21no—
283#121×C47—21no—
284#121×C47C2312yes—
285#121×C47C2311yescharacteristic
286#121×C47C2311yescharacteristic
287#121×C47C2312yes—
288#121×C47C2311yescharacteristic, complemented
289#121×C47C2311yescharacteristic, complemented
290#120×C47—21no—
291#120×C47—21no—
292#120×C47—22no—
293#120×C47—22no—
294#120×C47—22no—
295#120×C47—22no—
296#120×C47—21no—
297#120×C47—21no—
298#120×C47—21no—
299#120×C47—21no—
300C4×Q8×C47C2311yescharacteristic, complemented
301C4×Q8×C47C2311yescharacteristic, complemented
302C4×D4×C47—21no—
303C4×D4×C47—21no—
304C4×D4×C47—21no—
305C4×D4×C47—21no—
306C4×D4×C47—21no—
307C4×D4×C47—21no—
308C4×D4×C47—21no—
309C4×D4×C47—21no—
310C4×D4×C47—21no—
311C4×D4×C47—21no—
312C4×D4×C47—21no—
313C4×D4×C47—21no—
314C4×D4×C47—21no—
315C4×D4×C47—21no—
316C4×D4×C47D411yescharacteristic
317C4×D4×C47D411yescharacteristic
318C4×D4×C47D411yescharacteristic
319C4×D4×C47D411yescharacteristic
320C4×D4×C47C2312yes—
321C4×D4×C47C2312yes—
322C4×D4×C47C2311yescharacteristic
323C4×D4×C47C2311yescharacteristic
324C4×D4×C47C2311yescharacteristic
325C4×D4×C47C2311yescharacteristic
326C4×D4×C47C2311yescharacteristic, complemented
327C4×D4×C47C2311yescharacteristic, complemented
328#117×C47—21no—
329#117×C47C2311yescharacteristic
330C2×C4⋊C4×C47—21no—
331C2×C4⋊C4×C47—21no—
332C2×C4⋊C4×C47D411yescharacteristic
333C2×C4⋊C4×C47C2311yescharacteristic
334C2×C22⋊C4×C47—21no—
335C2×C22⋊C4×C47—21no—
336C2×C22⋊C4×C47—21no—
337C2×C22⋊C4×C47—21no—
338C2×C22⋊C4×C47—21no—
339C2×C22⋊C4×C47—22no—
340C2×C22⋊C4×C47—22no—
341C2×C22⋊C4×C47—22no—
342C2×C22⋊C4×C47—22no—
343C2×C22⋊C4×C47—21no—
344C2×C22⋊C4×C47—21no—
345C2×C22⋊C4×C47D411yescharacteristic
346C2×C22⋊C4×C47D411yescharacteristic
347C2×C42×C47—21no—
348C2×C42×C47C2311yescharacteristic
349#107×C47C2312yescomplemented
350#106×C47C2312yescomplemented
351C4⋊C8×C47C2312yescomplemented
352C4⋊C8×C47C2312yescomplemented
353#103×C47C2312yescomplemented
354#103×C47C2312yescomplemented
355#103×C47C2312yescomplemented
356#103×C47C2312yescomplemented
357#103×C47C2312yescomplemented
358#102×C47C2312yes—
359#102×C47C2312yes—
360#102×C47C2312yes—
361#102×C47C2312yes—
362#102×C47C2312yescomplemented
363#102×C47C2312yescomplemented
364#102×C47C2312yescomplemented
365C22⋊C8×C47C2312yes—
366C22⋊C8×C47C2312yes—
367C22⋊C8×C47C2312yescomplemented
368C22⋊C8×C47C2312yescomplemented
369#97×C47C2312yescomplemented
370C4×C8×C47C2312yescomplemented
371C24×C47—21no—
372C24×C47—21no—
373C24×C47—22no—
374C24×C47—22no—
375C24×C47—21no—
376C24×C47—21no—
377C24×C47—44no—
378C24×C47—44no—
379C24×C47—82no—
380C24×C47C2×D411yescharacteristic
381C24×C47C2×D411yescharacteristic
382#41×C47—22no—
383#41×C47—22no—
384#41×C47—22no—
385#41×C47—24no—
386#41×C47—22no—
387#41×C47—22no—
388#41×C47—24no—
389#41×C47—22no—
390#41×C47—22no—
391#41×C47—22no—
392#41×C47—22no—
393#41×C47—44no—
394#41×C47—44no—
395#41×C47—41no—
396#41×C47—41no—
397#41×C47—42no—
398#41×C47—42no—
399#41×C47—41no—
400#41×C47—41no—
401#41×C47—44no—
402#41×C47—44no—
403#41×C47—44no—
404#41×C47—44no—
405#41×C47C2×D414yes—
406C2×Q8×C47—21no—
407C2×Q8×C47—21no—
408C2×Q8×C47—21no—
409C2×Q8×C47—22no—
410C2×Q8×C47—22no—
411C2×Q8×C47—22no—
412C2×Q8×C47—22no—
413C2×Q8×C47—41no—
414C2×Q8×C47—41no—
415C2×Q8×C47C2412yes—
416C2×Q8×C47C2411yescharacteristic
417C2×Q8×C47C2411yescharacteristic
418C2×Q8×C47C2411yescharacteristic
419C2×D4×C47—21no—
420C2×D4×C47—22no—
421C2×D4×C47—24no—
422C2×D4×C47—24no—
423C2×D4×C47—22no—
424C2×D4×C47—21no—
425C2×D4×C47—21no—
426C2×D4×C47—22no—
427C2×D4×C47—22no—
428C2×D4×C47—21no—
429C2×D4×C47—21no—
430C2×D4×C47—21no—
431C2×D4×C47—21no—
432C2×D4×C47—21no—
433C2×D4×C47—21no—
434C2×D4×C47—21no—
435C2×D4×C47—21no—
436C2×D4×C47—22no—
437C2×D4×C47—22no—
438C2×D4×C47—21no—
439C2×D4×C47—22no—
440C2×D4×C47—21no—
441C2×D4×C47—21no—
442C2×D4×C47—21no—
443C2×D4×C47—22no—
444C2×D4×C47—22no—
445C2×D4×C47—21no—
446C2×D4×C47—21no—
447C2×D4×C47—22no—
448C2×D4×C47—22no—
449C2×D4×C47—42no—
450C2×D4×C47—42no—
451C2×D4×C47—41no—
452C2×D4×C47—41no—
453C2×D4×C47—44no—
454C2×D4×C47—44no—
455C2×D4×C47—44no—
456C2×D4×C47—42no—
457C2×D4×C47—44no—
458C2×D4×C47—44no—
459C2×D4×C47—44no—
460C2×D4×C47—44no—
461C2×D4×C47—82no—
462C2×D4×C47C2×D411yescharacteristic
463C2×D4×C47C2×D411yescharacteristic
464C2×D4×C47C2×D411yescharacteristic
465C2×D4×C47C2×D411yescharacteristic
466C2×D4×C47C2×D414yescomplemented
467C2×D4×C47C2412yes—
468C2×D4×C47C2411yescharacteristic
469C2×D4×C47C2411yescharacteristic
470C2×D4×C47C2412yes—
471C2×D4×C47C2411yescharacteristic
472C22×C4×C47—21no—
473C22×C4×C47—22no—
474C22×C4×C47—22no—
475C22×C4×C47—22no—
476C22×C4×C47—22no—
477C22×C4×C47—21no—
478C22×C4×C47—21no—
479C22×C4×C47—21no—
480C22×C4×C47—21no—
481C22×C4×C47—21no—
482C22×C4×C47—22no—
483C22×C4×C47—22no—
484C22×C4×C47—21no—
485C22×C4×C47—21no—
486C22×C4×C47—21no—
487C22×C4×C47—21no—
488C22×C4×C47—21no—
489C22×C4×C47—21no—
490C22×C4×C47—21no—
491C22×C4×C47—22no—
492C22×C4×C47—22no—
493C22×C4×C47—44no—
494C22×C4×C47—44no—
495C22×C4×C47—44no—
496C22×C4×C47—82no—
497C22×C4×C47C2×D411yescharacteristic
498C22×C4×C47C2×D411yescharacteristic
499C22×C4×C47C2×D411yescharacteristic
500C22×C4×C47C2×D411yescharacteristic
501C22×C4×C47C2×D411yescharacteristic
502C22×C4×C47C2×D411yescharacteristic
503C22×C4×C47C2×D411yescharacteristic
504C22×C4×C47C2×D411yescharacteristic
505C22×C4×C47C2411yescharacteristic
506C22×C4×C47C2411yescharacteristic
507C22×C4×C47C2411yescharacteristic
508C22×C4×C47C2411yescharacteristic
509C22×C4×C47C2411yescharacteristic
510Q16×C47—24no—
511Q16×C47—24no—
512Q16×C47—42no—
513SD16×C47—24no—
514SD16×C47—24no—
515SD16×C47—24no—
516SD16×C47—24no—
517SD16×C47—24no—
518SD16×C47—24no—
519SD16×C47—42no—
520SD16×C47—42no—
521SD16×C47C2×D418yescomplemented
522D8×C47—24no—
523D8×C47—24no—
524D8×C47—24no—
525D8×C47—24no—
526D8×C47—42no—
527D8×C47C2×D418yescomplemented
528M16×C47—22no—
529M16×C47—22no—
530M16×C47—22no—
531M16×C47—24no—
532M16×C47—24no—
533M16×C47C2×D414yescomplemented
534C2×C8×C47—24no—
535C2×C8×C47—24no—
536C2×C8×C47C2412yes—
537C2×C8×C47C2412yes—
538C2×C8×C47C2412yes—
539C2×C8×C47C2412yes—
540C4⋊C4×C47—21no—
541C4⋊C4×C47—21no—
542C4⋊C4×C47—21no—
543C4⋊C4×C47—22no—
544C4⋊C4×C47—22no—
545C4⋊C4×C47—21no—
546C4⋊C4×C47—21no—
547C4⋊C4×C47—21no—
548C4⋊C4×C47—21no—
549C4⋊C4×C47—21no—
550C4⋊C4×C47—21no—
551C4⋊C4×C47C2×D411yescharacteristic
552C4⋊C4×C47C2×D411yescharacteristic
553C4⋊C4×C47C2×D411yescharacteristic
554C4⋊C4×C47C2×D411yescharacteristic
555C4⋊C4×C47C2412yes—
556C4⋊C4×C47C2411yescharacteristic
557C4⋊C4×C47C2411yescharacteristic
558C22⋊C4×C47—22no—
559C22⋊C4×C47—22no—
560C22⋊C4×C47—21no—
561C22⋊C4×C47—21no—
562C22⋊C4×C47—21no—
563C22⋊C4×C47—21no—
564C22⋊C4×C47—21no—
565C22⋊C4×C47—22no—
566C22⋊C4×C47—22no—
567C22⋊C4×C47—22no—
568C22⋊C4×C47—22no—
569C22⋊C4×C47—21no—
570C22⋊C4×C47—21no—
571C22⋊C4×C47—21no—
572C22⋊C4×C47—21no—
573C22⋊C4×C47—22no—
574C22⋊C4×C47—22no—
575C22⋊C4×C47—22no—
576C22⋊C4×C47—22no—
577C22⋊C4×C47—21no—
578C22⋊C4×C47—21no—
579C22⋊C4×C47—21no—
580C22⋊C4×C47—21no—
581C22⋊C4×C47—21no—
582C22⋊C4×C47—21no—
583C22⋊C4×C47C2×D411yescharacteristic
584C22⋊C4×C47C2×D411yescharacteristic
585C22⋊C4×C47C2×D411yescharacteristic
586C22⋊C4×C47C2×D411yescharacteristic
587C22⋊C4×C47C2×D411yescharacteristic
588C22⋊C4×C47C2×D411yescharacteristic
589C22⋊C4×C47C2×D411yescharacteristic
590C22⋊C4×C47C2×D411yescharacteristic
591C42×C47—21no—
592C42×C47—21no—
593C42×C47—21no—
594C42×C47C2×D411yescharacteristic
595C42×C47C2×D411yescharacteristic
596C42×C47C2411yescharacteristic
597C42×C47C2411yescharacteristic
598C23×C47—22no—
599C23×C47—24no—
600C23×C47—22no—
601C23×C47—21no—
602C23×C47—22no—
603C23×C47—22no—
604C23×C47—22no—
605C23×C47—21no—
606C23×C47—21no—
607C23×C47—41no—
608C23×C47—41no—
609C23×C47—41no—
610C23×C47—42no—
611C23×C47—42no—
612C23×C47—44no—
613C23×C47—44no—
614C23×C47—42no—
615C23×C47—42no—
616C23×C47—42no—
617C23×C47—42no—
618C23×C47—42no—
619C23×C47—44no—
620C23×C47—42no—
621C23×C47—42no—
622C23×C47—44no—
623C23×C47—81no—
624C23×C47—81no—
625C23×C47—82no—
626C23×C47—82no—
627C23×C47—816no—
628C23×C47C22×D411yescharacteristic
629C23×C47C22×D411yescharacteristic
630C23×C47C22×D411yescharacteristic
631C23×C47C22×D411yescharacteristic
632C23×C47C22×D411yescharacteristic
633Q8×C47—21no—
634Q8×C47—21no—
635Q8×C47—21no—
636Q8×C47—22no—
637Q8×C47—21no—
638Q8×C47—22no—
639Q8×C47—21no—
640Q8×C47—42no—
641Q8×C47—42no—
642Q8×C47—42no—
643Q8×C47C22×D412yes—
644D4×C47—24no—
645D4×C47—22no—
646D4×C47—22no—
647D4×C47—24no—
648D4×C47—21no—
649D4×C47—22no—
650D4×C47—21no—
651D4×C47—22no—
652D4×C47—21no—
653D4×C47—21no—
654D4×C47—22no—
655D4×C47—21no—
656D4×C47—41no—
657D4×C47—41no—
658D4×C47—44no—
659D4×C47—44no—
660D4×C47—42no—
661D4×C47—42no—
662D4×C47—42no—
663D4×C47—42no—
664D4×C47—42no—
665D4×C47—44no—
666D4×C47—42no—
667D4×C47—44no—
668D4×C47—42no—
669D4×C47—42no—
670D4×C47—42no—
671D4×C47—42no—
672D4×C47—42no—
673D4×C47—42no—
674D4×C47—81no—
675D4×C47—81no—
676D4×C47—81no—
677D4×C47—82no—
678D4×C47—82no—
679D4×C47C22×D412yes—
680D4×C47C22×D414yes—
681C2×C4×C47—22no—
682C2×C4×C47—22no—
683C2×C4×C47—21no—
684C2×C4×C47—22no—
685C2×C4×C47—22no—
686C2×C4×C47—22no—
687C2×C4×C47—22no—
688C2×C4×C47—24no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—21no—
699C2×C4×C47—22no—
700C2×C4×C47—22no—
701C2×C4×C47—21no—
702C2×C4×C47—21no—
703C2×C4×C47—41no—
704C2×C4×C47—41no—
705C2×C4×C47—42no—
706C2×C4×C47—42no—
707C2×C4×C47—42no—
708C2×C4×C47—42no—
709C2×C4×C47—42no—
710C2×C4×C47—44no—
711C2×C4×C47—42no—
712C2×C4×C47—44no—
713C2×C4×C47—42no—
714C2×C4×C47—42no—
715C2×C4×C47—42no—
716C2×C4×C47—42no—
717C2×C4×C47—42no—
718C2×C4×C47—81no—
719C2×C4×C47—82no—
720C2×C4×C47—82no—
721C2×C4×C47C22×D411yescharacteristic
722C2×C4×C47C22×D411yescharacteristic
723C2×C4×C47C22×D411yescharacteristic
724C2×C4×C47C22×D411yescharacteristic
725C2×C4×C47C22×D411yescharacteristic
726C2×C4×C47C22×D411yescharacteristic
727C2×C4×C47C22×D411yescharacteristic
728C2×C4×C47C22×D411yescharacteristic
729C2×C4×C47C22×D411yescharacteristic
730C2×C4×C47C22×D412yes—
731C2×C4×C47H(5,𝔽2)12yes—
732C2×C4×C47C2511yescharacteristic
733C8×C47—22no—
734C8×C47—22no—
735C8×C47—22no—
736C8×C47C22×D414yes—
737#61066C4711yesmaximal, characteristic, direct product factor, Sylow
738C22×C47—21no—
739C22×C47—21no—
740C22×C47—21no—
741C22×C47—21no—
742C22×C47—21no—
743C22×C47—21no—
744C22×C47—21no—
745C22×C47—21no—
746C22×C47—21no—
747C22×C47—21no—
748C22×C47—22no—
749C22×C47—24no—
750C22×C47—21no—
751C22×C47—21no—
752C22×C47—21no—
753C22×C47—44no—
754C22×C47—48no—
755C22×C47—42no—
756C22×C47—41no—
757C22×C47—41no—
758C22×C47—42no—
759C22×C47—42no—
760C22×C47—41no—
761C22×C47—41no—
762C22×C47—41no—
763C22×C47—41no—
764C22×C47—42no—
765C22×C47—41no—
766C22×C47—41no—
767C22×C47—42no—
768C22×C47—82no—
769C22×C47—84no—
770C22×C47—88no—
771C22×C47—84no—
772C22×C47—84no—
773C22×C47—88no—
774C22×C47D4212yes—
775C22×C47#57512yescomplemented
776C22×C47C23×D411yescharacteristic
777C4×C47—21no—
778C4×C47—21no—
779C4×C47—21no—
780C4×C47—21no—
781C4×C47—21no—
782C4×C47—21no—
783C4×C47—22no—
784C4×C47—21no—
785C4×C47—21no—
786C4×C47—42no—
787C4×C47—41no—
788C4×C47—42no—
789C4×C47—41no—
790C4×C47—41no—
791C4×C47—41no—
792C4×C47D4212yes—
793C4×C47C23×D411yescharacteristic
794C4×C47C2×H(5,𝔽2)11yescharacteristic
795C2×#575C2×C4711yescharacteristic, complemented
796C22×AGL(1,ℤ/8)C2×C4711yescharacteristic, complemented
797D4×#41C2×C4711yescharacteristic, complemented
798C2×#546C2×C4711yescharacteristic, complemented
799#3282C2×C4712yescomplemented
800#3280C2×C4712yescomplemented
801#3275C2×C4712yescomplemented
802#3273C2×C4712yescomplemented
803#3268C2×C4712yescomplemented
804#3267C2×C4712yescomplemented
805#3266C2×C4712yescomplemented
806#3264C2×C4712yescomplemented
807#3153C2×C4711yescharacteristic, complemented
808#3056C2×C4711yescharacteristic, complemented
809#3055C2×C4711yescharacteristic, complemented
810#3040C2×C4711yescharacteristic, complemented
811#3036C2×C4711yescharacteristic, complemented
812#3007C2×C4711yescharacteristic, complemented
813#3006C2×C4711yescharacteristic, complemented
814#3005C2×C4711yescharacteristic, complemented
815#3003C2×C4711yescharacteristic, complemented
816C4×AGL(1,ℤ/8)C2×C4711yescharacteristic, complemented
817D4×M16C2×C4711yescharacteristic, complemented
818C2×C47—22no—
819C2×C47—22no—
820C2×C47—41no—
821C2×C47—41no—
822C2×C47—41no—
823C2×C47—44no—
824C2×C47—42no—
825C2×C47—81no—
826C2×C47—81no—
827C2×C47—82no—
828C2×C47C2×D4211yescharacteristic
829C2×C47C2×#57511yescharacteristic
830C2×C47#358511yescharacteristic
831C22×#41C22×C4711yescharacteristic
832C22×#41C22×C4711yescharacteristic, complemented
833C22×#41C22×C4711yescharacteristic, complemented
834C23×D4C22×C4711yescharacteristic, complemented
835#575—28no—
836C2×#137C22×C4711yescharacteristic, complemented
837C2×#137C22×C4711yescharacteristic, complemented
838C2×#137C22×C4711yescharacteristic, complemented
839C2×#137C22×C4712yescomplemented
840C2×AGL(1,ℤ/8)—28no—
841C2×AGL(1,ℤ/8)C22×C4711yescharacteristic
842C2×AGL(1,ℤ/8)C22×C4711yescharacteristic
843C2×AGL(1,ℤ/8)C22×C4711yescharacteristic, complemented
844C2×AGL(1,ℤ/8)C22×C4711yescharacteristic, complemented
845C2×AGL(1,ℤ/8)C22×C4711yescharacteristic, complemented
846C2×AGL(1,ℤ/8)C22×C4712yescomplemented
847C2×AGL(1,ℤ/8)C22×C4712yescomplemented
848C2×AGL(1,ℤ/8)C22×C4711yescharacteristic, complemented
849C2×AGL(1,ℤ/8)C22×C4712yescomplemented
850C2×#135C22×C4712yescomplemented
851C2×#135C22×C4712yescomplemented
852C22×SD16C22×C4712yescomplemented
853C22×D8C22×C4712yescomplemented
854C22×M16C22×C4711yescharacteristic, complemented
855C22×M16C22×C4711yescharacteristic, complemented
856#550C22×C4711yescharacteristic, complemented
857D4×Q8C22×C4711yescharacteristic, complemented
858#548C22×C4711yescharacteristic, complemented
859#548C22×C4711yescharacteristic, complemented
860#547—21no—
861#547C22×C4711yescharacteristic, complemented
862#546—21no—
863#546—21no—
864#546—21no—
865#546—21no—
866#546—21no—
867#546—21no—
868#546C22×C4712yes—
869#546C22×C4712yescomplemented
870#546C22×C4712yescomplemented
871#546C22×C4712yescomplemented
872#546C22×C4711yescharacteristic, complemented
873#546C22×C4711yescharacteristic, complemented
874D42—21no—
875D42C22×C4711yescharacteristic, complemented
876#532—21no—
877#532C22×C4711yescharacteristic, complemented
878C2×#124C22×C4711yescharacteristic, complemented
879#525—21no—
880#525—21no—
881#525C22×C4711yescharacteristic
882#525C22×C4711yescharacteristic, complemented
883C2×#123—21no—
884C2×C22⋊Q8C22×C4711yescharacteristic, complemented
885C2×#121—21no—
886C2×#121C22×C4711yescharacteristic, complemented
887C2×#120—21no—
888C4×#41C22×C4711yescharacteristic, complemented
889C2×C4×D4—21no—
890C2×C4×D4C22×C4711yescharacteristic
891C2×C4×D4C22×C4711yescharacteristic, complemented
892C22×C22⋊C4—21no—
893#497C22×C4712yescomplemented
894#496C22×C4712yescomplemented
895#495C22×C4712yescomplemented
896#495C22×C4712yescomplemented
897#470C22×C4712yescomplemented
898#469C22×C4712yescomplemented
899#468C22×C4712yescomplemented
900#468C22×C4712yescomplemented
901#467C22×C4712yescomplemented
902#466C22×C4712yescomplemented
903#465C22×C4712yescomplemented
904#465C22×C4712yescomplemented
905#464C22×C4712yescomplemented
906#464C22×C4712yescomplemented
907#463C22×C4712yescomplemented
908#463C22×C4712yescomplemented
909#463C22×C4712yescomplemented
910#463C22×C4712yescomplemented
911#461C22×C4712yescomplemented
912#459C22×C4712yescomplemented
913#452C22×C4712yescomplemented
914#452C22×C4712yescomplemented
915#452C22×C4712yescomplemented
916#452C22×C4712yescomplemented
917#451C22×C4712yescomplemented
918#450C22×C4712yescomplemented
919#450C22×C4712yescomplemented
920#450C22×C4712yescomplemented
921#449C22×C4712yescomplemented
922#449C22×C4712yescomplemented
923#449C22×C4712yescomplemented
924#449C22×C4712yescomplemented
925#448C22×C4712yescomplemented
926#447C22×C4712yescomplemented
927#447C22×C4712yescomplemented
928#447C22×C4712yescomplemented
929#442C22×C4712yescomplemented
930#440C22×C4712yescomplemented
931C4×SD16C22×C4712yescomplemented
932C4×D8C22×C4712yescomplemented
933#436C22×C4712yescomplemented
934#435C22×C4712yescomplemented
935#435C22×C4712yescomplemented
936C8×D4C22×C4712yescomplemented
937#428C22×C4711yescharacteristic, complemented
938#423C22×C4711yescharacteristic, complemented
939#419C22×C4711yescharacteristic, complemented
940#418C22×C4711yescharacteristic, complemented
941#418C22×C4711yescharacteristic, complemented
942#417C22×C4711yescharacteristic, complemented
943#417C22×C4711yescharacteristic, complemented
944#417C22×C4711yescharacteristic, complemented
945#407C22×C4711yescharacteristic, complemented
946#407C22×C4711yescharacteristic, complemented
947C4×M16C22×C4711yescharacteristic, complemented
948C47#6106611yescharacteristic, direct product factor, Sylow
949C25—21no—
950C2×#41—21no—
951C2×#41—21no—
952C2×#41—21no—
953C2×#41—21no—
954C2×#41—21no—
955C2×#41—21no—
956C2×#41—24no—
957C2×#41—24no—
958C2×#41—24no—
959C2×#41—42no—
960C2×#41—42no—
961C2×#41—42no—
962C2×#41C23×C4711yescharacteristic
963C2×#41C23×C4711yescharacteristic
964C2×#41C23×C4712yes—
965C2×#41C23×C4712yes—
966C2×#41C23×C4711yescharacteristic
967C2×#41C23×C4711yescharacteristic
968C2×#41C23×C4711yescharacteristic
969C2×#41C23×C4711yescharacteristic, complemented
970C2×#41C23×C4711yescharacteristic, complemented
971C22×Q8C23×C4711yescharacteristic
972C22×Q8C23×C4711yescharacteristic
973C22×Q8C23×C4711yescharacteristic, complemented
974C22×D4—24no—
975C22×D4—21no—
976C22×D4—21no—
977C22×D4—21no—
978C22×D4—21no—
979C22×D4—21no—
980C22×D4—21no—
981C22×D4—21no—
982C22×D4—21no—
983C22×D4—42no—
984C22×D4D4×C4711yescharacteristic
985C22×D4C23×C4711yescharacteristic
986C22×D4C23×C4711yescharacteristic
987C22×D4C23×C4712yes—
988C22×D4C23×C4712yes—
989C22×D4C23×C4711yescharacteristic
990C22×D4C23×C4711yescharacteristic, complemented
991C23×C4—21no—
992C23×C4—21no—
993C23×C4—21no—
994C23×C4—21no—
995C23×C4C23×C4711yescharacteristic
996C23×C4C23×C4711yescharacteristic
997#137—24no—
998#137—28no—
999#137—24no—
1000#137—42no—
1001AGL(1,ℤ/8)—24no—
1002AGL(1,ℤ/8)—24no—
1003AGL(1,ℤ/8)—24no—
1004AGL(1,ℤ/8)—28no—
1005AGL(1,ℤ/8)—28no—
1006AGL(1,ℤ/8)—28no—
1007AGL(1,ℤ/8)—24no—
1008AGL(1,ℤ/8)—42no—
1009AGL(1,ℤ/8)D4×C4718yescomplemented
1010#135—28no—
1011#135—28no—
1012C2×Q16C23×C4712yescomplemented
1013C2×Q16C23×C4712yescomplemented
1014C2×Q16C23×C4712yescomplemented
1015C2×SD16—28no—
1016C2×SD16C23×C4712yes—
1017C2×SD16C23×C4712yes—
1018C2×SD16C23×C4712yes—
1019C2×SD16C23×C4712yes—
1020C2×SD16C23×C4712yes—
1021C2×SD16C23×C4712yes—
1022C2×SD16C23×C4712yescomplemented
1023C2×SD16C23×C4712yescomplemented
1024C2×SD16C23×C4712yescomplemented
1025C2×D8—28no—
1026C2×D8C23×C4712yes—
1027C2×D8C23×C4712yes—
1028C2×D8C23×C4712yes—
1029C2×D8C23×C4712yes—
1030C2×D8C23×C4712yes—
1031C2×D8C23×C4712yes—
1032C2×M16—24no—
1033C2×M16—24no—
1034C2×M16C23×C4711yescharacteristic
1035C2×M16C23×C4712yes—
1036C2×M16C23×C4711yescharacteristic
1037C2×M16C23×C4711yescharacteristic
1038C2×M16C23×C4711yescharacteristic
1039C2×M16C23×C4712yescomplemented
1040C22×C8C23×C4712yes—
1041C22×C8C23×C4712yescomplemented
1042C4⋊Q8—21no—
1043C4⋊Q8C23×C4711yescharacteristic, complemented
1044#127—21no—
1045#127C23×C4711yescharacteristic, complemented
1046#124—21no—
1047#124—21no—
1048#124—21no—
1049#124—21no—
1050#124C23×C4712yes—
1051#124C23×C4712yes—
1052#124C23×C4711yescharacteristic, complemented
1053#124C23×C4711yescharacteristic, complemented
1054#123—21no—
1055#123—21no—
1056#123—22no—
1057#123—22no—
1058#123—22no—
1059#123—22no—
1060#123—21no—
1061#123—21no—
1062#123—21no—
1063#123—21no—
1064C22⋊Q8—21no—
1065C22⋊Q8—21no—
1066C22⋊Q8—21no—
1067C22⋊Q8—21no—
1068C22⋊Q8—21no—
1069C22⋊Q8—21no—
1070C22⋊Q8C23×C4712yes—
1071C22⋊Q8C23×C4712yes—
1072C22⋊Q8C23×C4711yescharacteristic
1073C22⋊Q8C23×C4711yescharacteristic
1074C22⋊Q8C23×C4711yescharacteristic, complemented
1075C22⋊Q8C23×C4711yescharacteristic, complemented
1076#121—21no—
1077#121—21no—
1078#121—21no—
1079#121—21no—
1080#121—21no—
1081#121—21no—
1082#121—21no—
1083#121—21no—
1084#121—22no—
1085#121—22no—
1086#121—22no—
1087#121—22no—
1088#121—21no—
1089#121—21no—
1090#121—21no—
1091#121—21no—
1092#121C23×C4712yes—
1093#121C23×C4712yes—
1094#121C23×C4711yescharacteristic
1095#121C23×C4711yescharacteristic
1096#121C23×C4711yescharacteristic, complemented
1097#121C23×C4711yescharacteristic, complemented
1098#120—21no—
1099#120—21no—
1100#120—22no—
1101#120—22no—
1102#120—22no—
1103#120—22no—
1104#120—21no—
1105#120—21no—
1106#120—21no—
1107#120—21no—
1108C4×Q8C23×C4711yescharacteristic, complemented
1109C4×Q8C23×C4711yescharacteristic, complemented
1110C4×D4—21no—
1111C4×D4—21no—
1112C4×D4—21no—
1113C4×D4—21no—
1114C4×D4—21no—
1115C4×D4—21no—
1116C4×D4—21no—
1117C4×D4—21no—
1118C4×D4—21no—
1119C4×D4—21no—
1120C4×D4—21no—
1121C4×D4—21no—
1122C4×D4—21no—
1123C4×D4—21no—
1124C4×D4D4×C4711yescharacteristic
1125C4×D4D4×C4711yescharacteristic
1126C4×D4D4×C4711yescharacteristic
1127C4×D4D4×C4711yescharacteristic
1128C4×D4C23×C4712yes—
1129C4×D4C23×C4712yes—
1130C4×D4C23×C4711yescharacteristic
1131C4×D4C23×C4711yescharacteristic
1132C4×D4C23×C4711yescharacteristic
1133C4×D4C23×C4711yescharacteristic
1134C4×D4C23×C4711yescharacteristic, complemented
1135C4×D4C23×C4711yescharacteristic, complemented
1136#117—21no—
1137#117C23×C4711yescharacteristic
1138C2×C4⋊C4—21no—
1139C2×C4⋊C4—21no—
1140C2×C4⋊C4D4×C4711yescharacteristic
1141C2×C4⋊C4C23×C4711yescharacteristic
1142C2×C22⋊C4—21no—
1143C2×C22⋊C4—21no—
1144C2×C22⋊C4—21no—
1145C2×C22⋊C4—21no—
1146C2×C22⋊C4—21no—
1147C2×C22⋊C4—22no—
1148C2×C22⋊C4—22no—
1149C2×C22⋊C4—22no—
1150C2×C22⋊C4—22no—
1151C2×C22⋊C4—21no—
1152C2×C22⋊C4—21no—
1153C2×C22⋊C4D4×C4711yescharacteristic
1154C2×C22⋊C4D4×C4711yescharacteristic
1155C2×C42—21no—
1156C2×C42C23×C4711yescharacteristic
1157#107C23×C4712yescomplemented
1158#106C23×C4712yescomplemented
1159C4⋊C8C23×C4712yescomplemented
1160C4⋊C8C23×C4712yescomplemented
1161#103C23×C4712yescomplemented
1162#103C23×C4712yescomplemented
1163#103C23×C4712yescomplemented
1164#103C23×C4712yescomplemented
1165#103C23×C4712yescomplemented
1166#102C23×C4712yes—
1167#102C23×C4712yes—
1168#102C23×C4712yes—
1169#102C23×C4712yes—
1170#102C23×C4712yescomplemented
1171#102C23×C4712yescomplemented
1172#102C23×C4712yescomplemented
1173C22⋊C8C23×C4712yes—
1174C22⋊C8C23×C4712yes—
1175C22⋊C8C23×C4712yescomplemented
1176C22⋊C8C23×C4712yescomplemented
1177#97C23×C4712yescomplemented
1178C4×C8C23×C4712yescomplemented
1179C24—21no—
1180C24—21no—
1181C24—22no—
1182C24—22no—
1183C24—21no—
1184C24—21no—
1185C24—44no—
1186C24—44no—
1187C24—82no—
1188C24C2×D4×C4711yescharacteristic
1189C24C2×D4×C4711yescharacteristic
1190#41—22no—
1191#41—22no—
1192#41—22no—
1193#41—24no—
1194#41—22no—
1195#41—22no—
1196#41—24no—
1197#41—22no—
1198#41—22no—
1199#41—22no—
1200#41—22no—
1201#41—44no—
1202#41—44no—
1203#41—41no—
1204#41—41no—
1205#41—42no—
1206#41—42no—
1207#41—41no—
1208#41—41no—
1209#41—44no—
1210#41—44no—
1211#41—44no—
1212#41—44no—
1213#41C2×D4×C4714yes—
1214C2×Q8—21no—
1215C2×Q8—21no—
1216C2×Q8—21no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—22no—
1221C2×Q8—41no—
1222C2×Q8—41no—
1223C2×Q8C24×C4712yes—
1224C2×Q8C24×C4711yescharacteristic
1225C2×Q8C24×C4711yescharacteristic
1226C2×Q8C24×C4711yescharacteristic
1227C2×D4—21no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—21no—
1233C2×D4—21no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—21no—
1237C2×D4—21no—
1238C2×D4—21no—
1239C2×D4—21no—
1240C2×D4—21no—
1241C2×D4—21no—
1242C2×D4—21no—
1243C2×D4—21no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—21no—
1247C2×D4—22no—
1248C2×D4—21no—
1249C2×D4—21no—
1250C2×D4—21no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—21no—
1254C2×D4—21no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—82no—
1270C2×D4C2×D4×C4711yescharacteristic
1271C2×D4C2×D4×C4711yescharacteristic
1272C2×D4C2×D4×C4711yescharacteristic
1273C2×D4C2×D4×C4711yescharacteristic
1274C2×D4C2×D4×C4714yescomplemented
1275C2×D4C24×C4712yes—
1276C2×D4C24×C4711yescharacteristic
1277C2×D4C24×C4711yescharacteristic
1278C2×D4C24×C4712yes—
1279C2×D4C24×C4711yescharacteristic
1280C22×C4—21no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—82no—
1305C22×C4C2×D4×C4711yescharacteristic
1306C22×C4C2×D4×C4711yescharacteristic
1307C22×C4C2×D4×C4711yescharacteristic
1308C22×C4C2×D4×C4711yescharacteristic
1309C22×C4C2×D4×C4711yescharacteristic
1310C22×C4C2×D4×C4711yescharacteristic
1311C22×C4C2×D4×C4711yescharacteristic
1312C22×C4C2×D4×C4711yescharacteristic
1313C22×C4C24×C4711yescharacteristic
1314C22×C4C24×C4711yescharacteristic
1315C22×C4C24×C4711yescharacteristic
1316C22×C4C24×C4711yescharacteristic
1317C22×C4C24×C4711yescharacteristic
1318Q16—24no—
1319Q16—24no—
1320Q16—42no—
1321SD16—24no—
1322SD16—24no—
1323SD16—24no—
1324SD16—24no—
1325SD16—24no—
1326SD16—24no—
1327SD16—42no—
1328SD16—42no—
1329SD16C2×D4×C4718yescomplemented
1330D8—24no—
1331D8—24no—
1332D8—24no—
1333D8—24no—
1334D8—42no—
1335D8C2×D4×C4718yescomplemented
1336M16—22no—
1337M16—22no—
1338M16—22no—
1339M16—24no—
1340M16—24no—
1341M16C2×D4×C4714yescomplemented
1342C2×C8—24no—
1343C2×C8—24no—
1344C2×C8C24×C4712yes—
1345C2×C8C24×C4712yes—
1346C2×C8C24×C4712yes—
1347C2×C8C24×C4712yes—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4C2×D4×C4711yescharacteristic
1360C4⋊C4C2×D4×C4711yescharacteristic
1361C4⋊C4C2×D4×C4711yescharacteristic
1362C4⋊C4C2×D4×C4711yescharacteristic
1363C4⋊C4C24×C4711yescharacteristic
1364C4⋊C4C24×C4711yescharacteristic
1365C4⋊C4C24×C4712yes—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—21no—
1369C22⋊C4—21no—
1370C22⋊C4—21no—
1371C22⋊C4—21no—
1372C22⋊C4—21no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—21no—
1378C22⋊C4—21no—
1379C22⋊C4—21no—
1380C22⋊C4—21no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—21no—
1386C22⋊C4—21no—
1387C22⋊C4—21no—
1388C22⋊C4—21no—
1389C22⋊C4—21no—
1390C22⋊C4—21no—
1391C22⋊C4C2×D4×C4711yescharacteristic
1392C22⋊C4C2×D4×C4711yescharacteristic
1393C22⋊C4C2×D4×C4711yescharacteristic
1394C22⋊C4C2×D4×C4711yescharacteristic
1395C22⋊C4C2×D4×C4711yescharacteristic
1396C22⋊C4C2×D4×C4711yescharacteristic
1397C22⋊C4C2×D4×C4711yescharacteristic
1398C22⋊C4C2×D4×C4711yescharacteristic
1399C42—21no—
1400C42—21no—
1401C42—21no—
1402C42C2×D4×C4711yescharacteristic
1403C42C2×D4×C4711yescharacteristic
1404C42C24×C4711yescharacteristic
1405C42C24×C4711yescharacteristic
1406C23—22no—
1407C23—24no—
1408C23—22no—
1409C23—21no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—21no—
1414C23—21no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—42no—
1419C23—42no—
1420C23—44no—
1421C23—44no—
1422C23—42no—
1423C23—42no—
1424C23—42no—
1425C23—42no—
1426C23—42no—
1427C23—44no—
1428C23—42no—
1429C23—42no—
1430C23—44no—
1431C23—81no—
1432C23—81no—
1433C23—82no—
1434C23—82no—
1435C23—816no—
1436C23C22×D4×C4711yescharacteristic
1437C23C22×D4×C4711yescharacteristic
1438C23C22×D4×C4711yescharacteristic
1439C23C22×D4×C4711yescharacteristic
1440C23C22×D4×C4711yescharacteristic
1441Q8—21no—
1442Q8—21no—
1443Q8—21no—
1444Q8—22no—
1445Q8—21no—
1446Q8—22no—
1447Q8—21no—
1448Q8—42no—
1449Q8—42no—
1450Q8—42no—
1451Q8C22×D4×C4712yes—
1452D4—24no—
1453D4—22no—
1454D4—22no—
1455D4—24no—
1456D4—21no—
1457D4—22no—
1458D4—21no—
1459D4—22no—
1460D4—21no—
1461D4—21no—
1462D4—22no—
1463D4—21no—
1464D4—41no—
1465D4—41no—
1466D4—44no—
1467D4—44no—
1468D4—42no—
1469D4—42no—
1470D4—42no—
1471D4—42no—
1472D4—42no—
1473D4—44no—
1474D4—42no—
1475D4—44no—
1476D4—42no—
1477D4—42no—
1478D4—42no—
1479D4—42no—
1480D4—42no—
1481D4—42no—
1482D4—81no—
1483D4—81no—
1484D4—81no—
1485D4—82no—
1486D4—82no—
1487D4C22×D4×C4712yes—
1488D4C22×D4×C4714yes—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—42no—
1514C2×C4—42no—
1515C2×C4—42no—
1516C2×C4—42no—
1517C2×C4—42no—
1518C2×C4—44no—
1519C2×C4—42no—
1520C2×C4—44no—
1521C2×C4—42no—
1522C2×C4—42no—
1523C2×C4—42no—
1524C2×C4—42no—
1525C2×C4—42no—
1526C2×C4—81no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4C22×D4×C4711yescharacteristic
1530C2×C4C22×D4×C4711yescharacteristic
1531C2×C4C22×D4×C4711yescharacteristic
1532C2×C4C22×D4×C4711yescharacteristic
1533C2×C4C22×D4×C4711yescharacteristic
1534C2×C4C22×D4×C4711yescharacteristic
1535C2×C4C22×D4×C4711yescharacteristic
1536C2×C4C22×D4×C4711yescharacteristic
1537C2×C4C22×D4×C4711yescharacteristic
1538C2×C4C22×D4×C4712yes—
1539C2×C4H(5,𝔽2)×C4712yes—
1540C2×C4C25×C4711yescharacteristic
1541C8—22no—
1542C8—22no—
1543C8—22no—
1544C8C22×D4×C4714yes—
1545C22—21no—
1546C22—21no—
1547C22—21no—
1548C22—21no—
1549C22—21no—
1550C22—21no—
1551C22—21no—
1552C22—21no—
1553C22—21no—
1554C22—21no—
1555C22—21no—
1556C22—21no—
1557C22—21no—
1558C22—22no—
1559C22—24no—
1560C22—44no—
1561C22—48no—
1562C22—41no—
1563C22—42no—
1564C22—42no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—42no—
1569C22—42no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—42no—
1575C22—82no—
1576C22—88no—
1577C22—84no—
1578C22—84no—
1579C22—88no—
1580C22—84no—
1581C22D42×C4712yes—
1582C22C47×#57512yescomplemented
1583C22C23×D4×C4711yescharacteristic
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—21no—
1588C4—21no—
1589C4—21no—
1590C4—21no—
1591C4—21no—
1592C4—22no—
1593C4—41no—
1594C4—42no—
1595C4—41no—
1596C4—42no—
1597C4—41no—
1598C4—41no—
1599C4D42×C4712yes—
1600C4C23×D4×C4711yescharacteristic
1601C4C2×H(5,𝔽2)×C4711yescharacteristic
1602C2—22no—
1603C2—22no—
1604C2—41no—
1605C2—41no—
1606C2—41no—
1607C2—44no—
1608C2—42no—
1609C2—82no—
1610C2—81no—
1611C2—81no—
1612C2C2×D42×C4711yescharacteristic
1613C2C2×C47×#57511yescharacteristic
1614C2C47×#358511yescharacteristic
subgroupG/H
center, socleC22×C47C23×D4
commutator, Frattini, cosocleC2×C4C25×C47
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C47 ◁ C2×C4×D4×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C47×#575C2semidirect
2. C22×AGL(1,ℤ/8)×C47C2semidirect
3. D4×#41×C47C2semidirect
4. C2×C47×#546C2semidirect
5. C47×#3282C2semidirect
6. C47×#3280C2semidirect
7. C47×#3275C2semidirect
8. C47×#3273C2semidirect
9. C47×#3268C2semidirect
10. C47×#3267C2semidirect
11. C47×#3266C2semidirect
12. C47×#3264C2semidirect
13. C47×#3153C2semidirect
14. C47×#3056C2semidirect
15. C47×#3055C2semidirect
16. C47×#3040C2semidirect
17. C47×#3036C2semidirect
18. C47×#3007C2semidirect
19. C47×#3006C2semidirect
20. C47×#3005C2semidirect
21. C47×#3003C2semidirect
22. C4×AGL(1,ℤ/8)×C47C2semidirect
23. D4×M16×C47C2semidirect
25. C22×#41×C47C22semidirect
26. C22×#41×C47C22semidirect
27. C23×D4×C47C22semidirect
29. C2×#137×C47C22semidirect
30. C2×#137×C47C22semidirect
31. C2×#137×C47C22semidirect
32. C2×#137×C47C22semidirect
36. C2×AGL(1,ℤ/8)×C47C22semidirect
37. C2×AGL(1,ℤ/8)×C47C22semidirect
38. C2×AGL(1,ℤ/8)×C47C22semidirect
39. C2×AGL(1,ℤ/8)×C47C22semidirect
40. C2×AGL(1,ℤ/8)×C47C22semidirect
41. C2×AGL(1,ℤ/8)×C47C22semidirect
42. C2×AGL(1,ℤ/8)×C47C22semidirect
43. C2×#135×C47C22semidirect
44. C2×#135×C47C22semidirect
45. C22×SD16×C47C22semidirect
46. C22×D8×C47C22semidirect
47. C22×M16×C47C22semidirect
48. C22×M16×C47C22semidirect
49. C47×#550C22semidirect
50. D4×Q8×C47C22semidirect
51. C47×#548C22semidirect
52. C47×#548C22semidirect
54. C47×#547C22semidirect
62. C47×#546C22semidirect
63. C47×#546C22semidirect
64. C47×#546C22semidirect
65. C47×#546C22semidirect
66. C47×#546C22semidirect
68. D42×C47C22semidirect
70. C47×#532C22semidirect
71. C2×#124×C47C22semidirect
75. C47×#525C22semidirect
77. C2×C22⋊Q8×C47C22semidirect
79. C2×#121×C47C22semidirect
81. C4×#41×C47C22semidirect
84. C2×C4×D4×C47C22semidirect
86. C47×#497C22semidirect
87. C47×#496C22semidirect
88. C47×#495C22semidirect
89. C47×#495C22semidirect
90. C47×#470C22semidirect
91. C47×#469C22semidirect
92. C47×#468C22semidirect
93. C47×#468C22semidirect
94. C47×#467C22semidirect
95. C47×#466C22semidirect
96. C47×#465C22semidirect
97. C47×#465C22semidirect
98. C47×#464C22semidirect
99. C47×#464C22semidirect
100. C47×#463C22semidirect
101. C47×#463C22semidirect
102. C47×#463C22semidirect
103. C47×#463C22semidirect
104. C47×#461C22semidirect
105. C47×#459C22semidirect
106. C47×#452C22semidirect
107. C47×#452C22semidirect
108. C47×#452C22semidirect
109. C47×#452C22semidirect
110. C47×#451C22semidirect
111. C47×#450C22semidirect
112. C47×#450C22semidirect
113. C47×#450C22semidirect
114. C47×#449C22semidirect
115. C47×#449C22semidirect
116. C47×#449C22semidirect
117. C47×#449C22semidirect
118. C47×#448C22semidirect
119. C47×#447C22semidirect
120. C47×#447C22semidirect
121. C47×#447C22semidirect
122. C47×#442C22semidirect
123. C47×#440C22semidirect
124. C4×SD16×C47C22semidirect
125. C4×D8×C47C22semidirect
126. C47×#436C22semidirect
127. C47×#435C22semidirect
128. C47×#435C22semidirect
129. C8×D4×C47C22semidirect
130. C47×#428C22semidirect
131. C47×#423C22semidirect
132. C47×#419C22semidirect
133. C47×#418C22semidirect
134. C47×#418C22semidirect
135. C47×#417C22semidirect
136. C47×#417C22semidirect
137. C47×#417C22semidirect
138. C47×#407C22semidirect
139. C47×#407C22semidirect
140. C4×M16×C47C22semidirect
161. C2×#41×C47C23semidirect
162. C2×#41×C47C23semidirect
165. C22×Q8×C47C23semidirect
182. C22×D4×C47C23semidirect
201. AGL(1,ℤ/8)×C47D4semidirect
204. C2×Q16×C47C23semidirect
205. C2×Q16×C47C23semidirect
206. C2×Q16×C47C23semidirect
214. C2×SD16×C47C23semidirect
215. C2×SD16×C47C23semidirect
216. C2×SD16×C47C23semidirect
231. C2×M16×C47C23semidirect
233. C22×C8×C47C23semidirect
235. C4⋊Q8×C47C23semidirect
237. #127×C47C23semidirect
244. #124×C47C23semidirect
245. #124×C47C23semidirect
266. C22⋊Q8×C47C23semidirect
267. C22⋊Q8×C47C23semidirect
288. #121×C47C23semidirect
289. #121×C47C23semidirect
300. C4×Q8×C47C23semidirect
301. C4×Q8×C47C23semidirect
326. C4×D4×C47C23semidirect
327. C4×D4×C47C23semidirect
349. #107×C47C23semidirect
350. #106×C47C23semidirect
351. C4⋊C8×C47C23semidirect
352. C4⋊C8×C47C23semidirect
353. #103×C47C23semidirect
354. #103×C47C23semidirect
355. #103×C47C23semidirect
356. #103×C47C23semidirect
357. #103×C47C23semidirect
362. #102×C47C23semidirect
363. #102×C47C23semidirect
364. #102×C47C23semidirect
367. C22⋊C8×C47C23semidirect
368. C22⋊C8×C47C23semidirect
369. #97×C47C23semidirect
370. C4×C8×C47C23semidirect
466. C2×D4×C47C2×D4semidirect
521. SD16×C47C2×D4semidirect
527. D8×C47C2×D4semidirect
533. M16×C47C2×D4semidirect
737. #61066C47direct (N × H)
775. C22×C47#575semidirect
795. C2×#575C2×C47semidirect
796. C22×AGL(1,ℤ/8)C2×C47semidirect
797. D4×#41C2×C47semidirect
798. C2×#546C2×C47semidirect
799. #3282C2×C47semidirect
800. #3280C2×C47semidirect
801. #3275C2×C47semidirect
802. #3273C2×C47semidirect
803. #3268C2×C47semidirect
804. #3267C2×C47semidirect
805. #3266C2×C47semidirect
806. #3264C2×C47semidirect
807. #3153C2×C47semidirect
808. #3056C2×C47semidirect
809. #3055C2×C47semidirect
810. #3040C2×C47semidirect
811. #3036C2×C47semidirect
812. #3007C2×C47semidirect
813. #3006C2×C47semidirect
814. #3005C2×C47semidirect
815. #3003C2×C47semidirect
816. C4×AGL(1,ℤ/8)C2×C47semidirect
817. D4×M16C2×C47semidirect
832. C22×#41C22×C47semidirect
833. C22×#41C22×C47semidirect
834. C23×D4C22×C47semidirect
836. C2×#137C22×C47semidirect
837. C2×#137C22×C47semidirect
838. C2×#137C22×C47semidirect
839. C2×#137C22×C47semidirect
843. C2×AGL(1,ℤ/8)C22×C47semidirect
844. C2×AGL(1,ℤ/8)C22×C47semidirect
845. C2×AGL(1,ℤ/8)C22×C47semidirect
846. C2×AGL(1,ℤ/8)C22×C47semidirect
847. C2×AGL(1,ℤ/8)C22×C47semidirect
848. C2×AGL(1,ℤ/8)C22×C47semidirect
849. C2×AGL(1,ℤ/8)C22×C47semidirect
850. C2×#135C22×C47semidirect
851. C2×#135C22×C47semidirect
852. C22×SD16C22×C47semidirect
853. C22×D8C22×C47semidirect
854. C22×M16C22×C47semidirect
855. C22×M16C22×C47semidirect
856. #550C22×C47semidirect
857. D4×Q8C22×C47semidirect
858. #548C22×C47semidirect
859. #548C22×C47semidirect
861. #547C22×C47semidirect
869. #546C22×C47semidirect
870. #546C22×C47semidirect
871. #546C22×C47semidirect
872. #546C22×C47semidirect
873. #546C22×C47semidirect
875. D42C22×C47semidirect
877. #532C22×C47semidirect
878. C2×#124C22×C47semidirect
882. #525C22×C47semidirect
884. C2×C22⋊Q8C22×C47semidirect
886. C2×#121C22×C47semidirect
888. C4×#41C22×C47semidirect
891. C2×C4×D4C22×C47semidirect
893. #497C22×C47semidirect
894. #496C22×C47semidirect
895. #495C22×C47semidirect
896. #495C22×C47semidirect
897. #470C22×C47semidirect
898. #469C22×C47semidirect
899. #468C22×C47semidirect
900. #468C22×C47semidirect
901. #467C22×C47semidirect
902. #466C22×C47semidirect
903. #465C22×C47semidirect
904. #465C22×C47semidirect
905. #464C22×C47semidirect
906. #464C22×C47semidirect
907. #463C22×C47semidirect
908. #463C22×C47semidirect
909. #463C22×C47semidirect
910. #463C22×C47semidirect
911. #461C22×C47semidirect
912. #459C22×C47semidirect
913. #452C22×C47semidirect
914. #452C22×C47semidirect
915. #452C22×C47semidirect
916. #452C22×C47semidirect
917. #451C22×C47semidirect
918. #450C22×C47semidirect
919. #450C22×C47semidirect
920. #450C22×C47semidirect
921. #449C22×C47semidirect
922. #449C22×C47semidirect
923. #449C22×C47semidirect
924. #449C22×C47semidirect
925. #448C22×C47semidirect
926. #447C22×C47semidirect
927. #447C22×C47semidirect
928. #447C22×C47semidirect
929. #442C22×C47semidirect
930. #440C22×C47semidirect
931. C4×SD16C22×C47semidirect
932. C4×D8C22×C47semidirect
933. #436C22×C47semidirect
934. #435C22×C47semidirect
935. #435C22×C47semidirect
936. C8×D4C22×C47semidirect
937. #428C22×C47semidirect
938. #423C22×C47semidirect
939. #419C22×C47semidirect
940. #418C22×C47semidirect
941. #418C22×C47semidirect
942. #417C22×C47semidirect
943. #417C22×C47semidirect
944. #417C22×C47semidirect
945. #407C22×C47semidirect
946. #407C22×C47semidirect
947. C4×M16C22×C47semidirect
948. C47#61066direct (N × H)
969. C2×#41C23×C47semidirect
970. C2×#41C23×C47semidirect
973. C22×Q8C23×C47semidirect
990. C22×D4C23×C47semidirect
1009. AGL(1,ℤ/8)D4×C47semidirect
1012. C2×Q16C23×C47semidirect
1013. C2×Q16C23×C47semidirect
1014. C2×Q16C23×C47semidirect
1022. C2×SD16C23×C47semidirect
1023. C2×SD16C23×C47semidirect
1024. C2×SD16C23×C47semidirect
1039. C2×M16C23×C47semidirect
1041. C22×C8C23×C47semidirect
1043. C4⋊Q8C23×C47semidirect
1045. #127C23×C47semidirect
1052. #124C23×C47semidirect
1053. #124C23×C47semidirect
1074. C22⋊Q8C23×C47semidirect
1075. C22⋊Q8C23×C47semidirect
1096. #121C23×C47semidirect
1097. #121C23×C47semidirect
1108. C4×Q8C23×C47semidirect
1109. C4×Q8C23×C47semidirect
1134. C4×D4C23×C47semidirect
1135. C4×D4C23×C47semidirect
1157. #107C23×C47semidirect
1158. #106C23×C47semidirect
1159. C4⋊C8C23×C47semidirect
1160. C4⋊C8C23×C47semidirect
1161. #103C23×C47semidirect
1162. #103C23×C47semidirect
1163. #103C23×C47semidirect
1164. #103C23×C47semidirect
1165. #103C23×C47semidirect
1170. #102C23×C47semidirect
1171. #102C23×C47semidirect
1172. #102C23×C47semidirect
1175. C22⋊C8C23×C47semidirect
1176. C22⋊C8C23×C47semidirect
1177. #97C23×C47semidirect
1178. C4×C8C23×C47semidirect
1274. C2×D4C2×D4×C47semidirect
1329. SD16C2×D4×C47semidirect
1335. D8C2×D4×C47semidirect
1341. M16C2×D4×C47semidirect
1582. C22C47×#575semidirect

Maximal subgroups

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

subgroupindex
C2×C47×#5752
C22×AGL(1,ℤ/8)×C472
D4×#41×C472
C2×C47×#5462
C47×#32822
C47×#32802
C47×#32752
C47×#32732
C47×#32682
C47×#32672
C47×#32662
C47×#32642
C47×#31532
C47×#30562
C47×#30552
C47×#30402
C47×#30362
C47×#30072
C47×#30062
C47×#30052
C47×#30032
C4×AGL(1,ℤ/8)×C472
D4×M16×C472
#6106647