Finite Group Databasebeta

← C47×#34808 #26074506

Subgroups — C47×#34808 #26074506

Order 12032.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1350 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#2533C211yesmaximal, characteristic, complemented
2C47×#2532C211yesmaximal, characteristic, complemented
3C47×#2529C211yesmaximal, characteristic, complemented
4C47×#2528C211yesmaximal, characteristic, complemented
5C47×#2525C211yesmaximal, characteristic, complemented
6C47×#2524C211yesmaximal, characteristic, complemented
7C47×#2520C211yesmaximal, characteristic, complemented
8C47×#2519C211yesmaximal, characteristic, complemented
9C47×#2498C211yesmaximal, characteristic
10C47×#2493C211yesmaximal, characteristic, complemented
11C47×#2488C211yesmaximal, characteristic
12C47×#2484C211yesmaximal, characteristic, complemented
13C47×#2481C211yesmaximal, characteristic
14C47×#2473C211yesmaximal, characteristic, complemented
15C47×#2438C211yesmaximal, characteristic, complemented
16C47×#2413C211yesmaximal, characteristic
17C47×#2402C211yesmaximal, characteristic, complemented
18C47×#2402C211yesmaximal, characteristic, complemented
19C47×#2401C211yesmaximal, characteristic, complemented
20C47×#2396C211yesmaximal, characteristic, complemented
21C4×#125×C47C211yesmaximal, characteristic, complemented
22C4×#126×C47C211yesmaximal, characteristic, complemented
23C4×C22⋊Q8×C47C211yesmaximal, characteristic, complemented
24C4×#123×C47C211yesmaximal, characteristic
25C4×#123×C47C211yesmaximal, characteristic
26C47×#2298C211yesmaximal, characteristic, complemented
27C47×#2295C211yesmaximal, characteristic, complemented
28C47×#2290C211yesmaximal, characteristic
29C47×#2283C211yesmaximal, characteristic, complemented
30C4×#117×C47C211yesmaximal, characteristic, complemented
31C2×C4×C4⋊C4×C47C211yesmaximal, characteristic, complemented
32C2×#126×C47C2211yescharacteristic
33C2×#125×C47C2211yescharacteristic
34C2×#123×C47C2211yescharacteristic
35C2×#123×C47C2211yescharacteristic
36C2×C22⋊Q8×C47C2211yescharacteristic
37C2×C4×Q8×C47C2211yescharacteristic
38C2×C4×D4×C47C2211yescharacteristic
39C2×#117×C47C2211yescharacteristic
40C2×#117×C47C2211yescharacteristic
41C2×#117×C47C2211yescharacteristic
42C22×C4⋊C4×C47C2211yescharacteristic
43C22×C4⋊C4×C47C2211yescharacteristic
44C22×C42×C47C2211yescharacteristic
45C22×C42×C47C2211yescharacteristic
46C22×C42×C47C2211yescharacteristic
47C47×#401C2211yescharacteristic
48C47×#400C2211yescharacteristic
49C47×#400C2211yescharacteristic
50C47×#400C2211yescharacteristic
51C47×#400C2211yescharacteristic
52C47×#400C2211yescharacteristic
53C47×#400C2211yescharacteristic
54C47×#400C2211yescharacteristic
55C47×#400C2211yescharacteristic
56C47×#400C2211yescharacteristic
57C47×#400C2211yescharacteristic
58C47×#400C2211yescharacteristic
59C47×#400C2211yescharacteristic
60C47×#399C2211yescharacteristic
61C47×#398C2211yescharacteristic
62C47×#398C2211yescharacteristic
63C47×#398C2211yescharacteristic
64C47×#398C2211yescharacteristic
65C47×#398C2211yescharacteristic
66C47×#398C2211yescharacteristic
67C47×#398C2211yescharacteristic
68C47×#398C2211yescharacteristic
69C47×#398C2211yescharacteristic
70C47×#398C2211yescharacteristic
71C47×#397C2211yescharacteristic
72C47×#397C2211yescharacteristic
73C47×#397C2211yescharacteristic
74C47×#396C2211yescharacteristic
75C47×#396C2211yescharacteristic
76C47×#396C2211yescharacteristic
77C47×#395C2211yescharacteristic
78C47×#393C2211yescharacteristic
79C47×#391C2211yescharacteristic
80C47×#391C2211yescharacteristic
81C47×#391C2211yescharacteristic
82C47×#389C2211yescharacteristic
83C47×#389C2211yescharacteristic
84C47×#389C2211yescharacteristic
85C47×#389C2211yescharacteristic
86C47×#389C2211yescharacteristic
87C47×#388C2211yescharacteristic
88C47×#388C2211yescharacteristic
89C47×#388C2211yescharacteristic
90C47×#388C2211yescharacteristic
91C47×#388C2211yescharacteristic
92C47×#388C2211yescharacteristic
93C47×#388C2211yescharacteristic
94C47×#388C2211yescharacteristic
95C47×#388C2211yescharacteristic
96C47×#388C2211yescharacteristic
97C47×#388C2211yescharacteristic
98C47×#388C2211yescharacteristic
99C47×#388C2211yescharacteristic
100C47×#387C2211yescharacteristic
101C47×#387C2211yescharacteristic
102C47×#387C2211yescharacteristic
103C47×#387C2211yescharacteristic
104C47×#387C2211yescharacteristic
105C47×#387C2211yescharacteristic
106C47×#387C2211yescharacteristic
107C47×#387C2211yescharacteristic
108C47×#387C2211yescharacteristic
109C47×#387C2211yescharacteristic
110C47×#387C2211yescharacteristic
111C47×#387C2211yescharacteristic
112C47×#387C2211yescharacteristic
113C47×#387C2211yescharacteristic
114C47×#387C2211yescharacteristic
115C47×#387C2211yescharacteristic
116C47×#387C2211yescharacteristic
117C47×#387C2211yescharacteristic
118C47×#387C2211yescharacteristic
119C47×#387C2211yescharacteristic
120C47×#387C2211yescharacteristic
121C47×#387C2211yescharacteristic
122C47×#387C2211yescharacteristic
123C47×#386C2211yescharacteristic
124C47×#386C2211yescharacteristic
125C47×#386C2211yescharacteristic
126C47×#386C2211yescharacteristic
127C47×#385C2211yescharacteristic
128C47×#385C2211yescharacteristic
129C47×#385C2211yescharacteristic
130C47×#385C2211yescharacteristic
131C47×#385C2211yescharacteristic
132C47×#385C2211yescharacteristic
133C47×#383C2211yescharacteristic
134C47×#383C2211yescharacteristic
135C47×#383C2211yescharacteristic
136C47×#382C2211yescharacteristic
137C47×#382C2211yescharacteristic
138C47×#382C2211yescharacteristic
139C47×#381C2211yescharacteristic
140C47×#381C2211yescharacteristic
141C47×#381C2211yescharacteristic
142C47×#381C2211yescharacteristic
143C47×#380C2211yescharacteristic
144C47×#380C2211yescharacteristic
145C47×#380C2211yescharacteristic
146C4×C4⋊C4×C47C2211yescharacteristic
147C4×C4⋊C4×C47C2211yescharacteristic
148C4×C4⋊C4×C47C2211yescharacteristic
149C4×C4⋊C4×C47C2211yescharacteristic
150C4×C4⋊C4×C47C2211yescharacteristic
151C4×C4⋊C4×C47C2211yescharacteristic
152C4×C4⋊C4×C47C2211yescharacteristic
153C4×C4⋊C4×C47C2211yescharacteristic
154C4×C4⋊C4×C47C2211yescharacteristic
155C4×C4⋊C4×C47C2211yescharacteristic
156C4×C4⋊C4×C47C2211yescharacteristic
157C4×C4⋊C4×C47C2211yescharacteristic
158C4×C4⋊C4×C47C2211yescharacteristic
159C4×C4⋊C4×C47C2211yescharacteristic
160C4×C4⋊C4×C47C2211yescharacteristic
161C4×C4⋊C4×C47C2211yescharacteristic
162C4×C4⋊C4×C47C2211yescharacteristic
163C4×C4⋊C4×C47C2211yescharacteristic
164C4×C4⋊C4×C47C2211yescharacteristic
165C4×C4⋊C4×C47C2211yescharacteristic
166C4×C4⋊C4×C47C2211yescharacteristic
167C4×C4⋊C4×C47C2211yescharacteristic
168C4×C22⋊C4×C47C2211yescharacteristic
169C4×C22⋊C4×C47C2211yescharacteristic
170C4×C22⋊C4×C47C2211yescharacteristic
171C4×C22⋊C4×C47C2211yescharacteristic
172C4×C22⋊C4×C47C2211yescharacteristic
173C4×C22⋊C4×C47C2211yescharacteristic
174C4×C22⋊C4×C47C2211yescharacteristic
175C4×C22⋊C4×C47C2211yescharacteristic
176C4×C22⋊C4×C47C2211yescharacteristic
177C4×C22⋊C4×C47C2211yescharacteristic
178C47×#376C2211yescharacteristic
179C47×#376C2211yescharacteristic
180C47×#376C2211yescharacteristic
181C47×#376C2211yescharacteristic
182C47×#376C2211yescharacteristic
183C2×#95×C47C2211yescharacteristic
184C2×#95×C47C2211yescharacteristic
185C43×C47C2211yescharacteristic
186C43×C47C2211yescharacteristic
187C22×Q8×C47C2311yescharacteristic
188C22×D4×C47C2311yescharacteristic
189C23×C4×C47C2311yescharacteristic
190C23×C4×C47C2311yescharacteristic
191C23×C4×C47C2311yescharacteristic
192C23×C4×C47C2311yescharacteristic
193C23×C4×C47C2311yescharacteristic
194C23×C4×C47C2311yescharacteristic
195C23×C4×C47C2311yescharacteristic
196C23×C4×C47C2311yescharacteristic
197#126×C47—24no—
198#125×C47—24no—
199#123×C47—24no—
200#123×C47—24no—
201C22⋊Q8×C47—24no—
202C4×Q8×C47—24no—
203C4×D4×C47—24no—
204#117×C47—24no—
205#117×C47—24no—
206#117×C47—24no—
207C2×C4⋊C4×C47—24no—
208C2×C4⋊C4×C47—24no—
209C2×C4⋊C4×C47C2311yescharacteristic
210C2×C4⋊C4×C47C2311yescharacteristic
211C2×C4⋊C4×C47C2311yescharacteristic
212C2×C4⋊C4×C47C2311yescharacteristic
213C2×C4⋊C4×C47C2311yescharacteristic
214C2×C4⋊C4×C47C2311yescharacteristic
215C2×C4⋊C4×C47C2311yescharacteristic
216C2×C4⋊C4×C47C2311yescharacteristic
217C2×C4⋊C4×C47C2311yescharacteristic
218C2×C4⋊C4×C47C2311yescharacteristic
219C2×C4⋊C4×C47C2311yescharacteristic
220C2×C4⋊C4×C47C2311yescharacteristic
221C2×C4⋊C4×C47C2311yescharacteristic
222C2×C4⋊C4×C47C2311yescharacteristic
223C2×C4⋊C4×C47C2311yescharacteristic
224C2×C4⋊C4×C47C2311yescharacteristic
225C2×C4⋊C4×C47C2311yescharacteristic
226C2×C4⋊C4×C47C2311yescharacteristic
227C2×C4⋊C4×C47C2311yescharacteristic
228C2×C4⋊C4×C47C2311yescharacteristic
229C2×C4⋊C4×C47C2311yescharacteristic
230C2×C4⋊C4×C47C2311yescharacteristic
231C2×C4⋊C4×C47C2311yescharacteristic
232C2×C4⋊C4×C47C2311yescharacteristic
233C2×C4⋊C4×C47C2311yescharacteristic
234C2×C4⋊C4×C47C2311yescharacteristic
235C2×C4⋊C4×C47C2311yescharacteristic
236C2×C4⋊C4×C47C2311yescharacteristic
237C2×C4⋊C4×C47C2311yescharacteristic
238C2×C4⋊C4×C47C2311yescharacteristic
239C2×C4⋊C4×C47C2311yescharacteristic
240C2×C4⋊C4×C47C2311yescharacteristic
241C2×C4⋊C4×C47C2311yescharacteristic
242C2×C4⋊C4×C47C2311yescharacteristic
243C2×C4⋊C4×C47C2311yescharacteristic
244C2×C4⋊C4×C47C2311yescharacteristic
245C2×C4⋊C4×C47C2311yescharacteristic
246C2×C4⋊C4×C47C2311yescharacteristic
247C2×C22⋊C4×C47C2311yescharacteristic
248C2×C22⋊C4×C47C2311yescharacteristic
249C2×C22⋊C4×C47C2311yescharacteristic
250C2×C22⋊C4×C47C2311yescharacteristic
251C2×C22⋊C4×C47C2311yescharacteristic
252C2×C22⋊C4×C47C2311yescharacteristic
253C2×C22⋊C4×C47C2311yescharacteristic
254C2×C22⋊C4×C47C2311yescharacteristic
255C2×C22⋊C4×C47C2311yescharacteristic
256C2×C22⋊C4×C47C2311yescharacteristic
257C2×C22⋊C4×C47C2311yescharacteristic
258C2×C22⋊C4×C47C2311yescharacteristic
259C2×C22⋊C4×C47C2311yescharacteristic
260C2×C22⋊C4×C47C2311yescharacteristic
261C2×C22⋊C4×C47C2311yescharacteristic
262C2×C22⋊C4×C47C2311yescharacteristic
263C2×C22⋊C4×C47C2311yescharacteristic
264C2×C22⋊C4×C47C2311yescharacteristic
265C2×C22⋊C4×C47C2311yescharacteristic
266C2×C22⋊C4×C47C2311yescharacteristic
267C2×C42×C47—24no—
268C2×C42×C47—24no—
269C2×C42×C47—24no—
270C2×C42×C47C2311yescharacteristic
271C2×C42×C47C2311yescharacteristic
272C2×C42×C47C2311yescharacteristic
273C2×C42×C47C2311yescharacteristic
274C2×C42×C47C2311yescharacteristic
275C2×C42×C47C2311yescharacteristic
276C2×C42×C47C2311yescharacteristic
277C2×C42×C47C2311yescharacteristic
278C2×C42×C47C2311yescharacteristic
279C2×C42×C47C2311yescharacteristic
280C2×C42×C47C2311yescharacteristic
281C2×C42×C47C2311yescharacteristic
282C2×C42×C47C2311yescharacteristic
283C2×C42×C47C2311yescharacteristic
284C2×C42×C47C2311yescharacteristic
285C2×C42×C47C2311yescharacteristic
286C2×C42×C47C2311yescharacteristic
287C2×C42×C47C2311yescharacteristic
288C2×C42×C47C2311yescharacteristic
289C2×C42×C47C2311yescharacteristic
290C2×C42×C47C2311yescharacteristic
291C2×C42×C47C2311yescharacteristic
292C2×C42×C47C2311yescharacteristic
293C2×C42×C47C2311yescharacteristic
294C2×C42×C47C2311yescharacteristic
295C2×C42×C47C2311yescharacteristic
296C2×C42×C47C2311yescharacteristic
297#95×C47C2311yescharacteristic
298#95×C47C2311yescharacteristic
299#95×C47C2311yescharacteristic
300#95×C47C2311yescharacteristic
301#95×C47C2311yescharacteristic
302#95×C47C2311yescharacteristic
303#95×C47C2311yescharacteristic
304#95×C47C2311yescharacteristic
305#95×C47C2311yescharacteristic
306#95×C47C2311yescharacteristic
307#95×C47C2311yescharacteristic
308#95×C47C2311yescharacteristic
309#95×C47C2311yescharacteristic
310#95×C47C2311yescharacteristic
311#95×C47C2311yescharacteristic
312#95×C47C2311yescharacteristic
313#95×C47C2311yescharacteristic
314#95×C47C2311yescharacteristic
315#95×C47C2311yescharacteristic
316#95×C47C2311yescharacteristic
317#95×C47C2311yescharacteristic
318#95×C47C2311yescharacteristic
319#95×C47C2311yescharacteristic
320#95×C47C2311yescharacteristic
321#95×C47C2311yescharacteristic
322#95×C47C2311yescharacteristic
323#95×C47C2311yescharacteristic
324#95×C47C2311yescharacteristic
325#95×C47C2311yescharacteristic
326#95×C47C2311yescharacteristic
327#95×C47C2311yescharacteristic
328#95×C47C2311yescharacteristic
329#95×C47C2311yescharacteristic
330#95×C47C2311yescharacteristic
331#95×C47C2311yescharacteristic
332#95×C47C2311yescharacteristic
333#95×C47C2311yescharacteristic
334#95×C47C2311yescharacteristic
335#95×C47C2311yescharacteristic
336#95×C47C2311yescharacteristic
337#95×C47C2311yescharacteristic
338#95×C47C2311yescharacteristic
339#95×C47C2311yescharacteristic
340#95×C47C2311yescharacteristic
341#95×C47C2311yescharacteristic
342#95×C47C2311yescharacteristic
343#95×C47C2311yescharacteristic
344#95×C47C2311yescharacteristic
345#95×C47C2311yescharacteristic
346#95×C47C2311yescharacteristic
347#95×C47C2311yescharacteristic
348#95×C47C2311yescharacteristic
349#95×C47C2311yescharacteristic
350#95×C47C2311yescharacteristic
351#95×C47C2311yescharacteristic
352#95×C47C2311yescharacteristic
353#95×C47C2311yescharacteristic
354#95×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357C24×C47C2411yescharacteristic
358C24×C47C2411yescharacteristic
359C2×Q8×C47—22no—
360C2×Q8×C47—22no—
361C2×Q8×C47—41no—
362C2×D4×C47—22no—
363C2×D4×C47—22no—
364C2×D4×C47—22no—
365C22×C4×C47—22no—
366C22×C4×C47—22no—
367C22×C4×C47—22no—
368C22×C4×C47—22no—
369C22×C4×C47—22no—
370C22×C4×C47—22no—
371C22×C4×C47—22no—
372C22×C4×C47—22no—
373C22×C4×C47—22no—
374C22×C4×C47—22no—
375C22×C4×C47—22no—
376C22×C4×C47—22no—
377C22×C4×C47—22no—
378C22×C4×C47—22no—
379C22×C4×C47—22no—
380C22×C4×C47—22no—
381C22×C4×C47—22no—
382C22×C4×C47—22no—
383C22×C4×C47—22no—
384C22×C4×C47—41no—
385C22×C4×C47—41no—
386C22×C4×C47—41no—
387C22×C4×C47#4114yes—
388C22×C4×C47#4114yes—
389C22×C4×C47C2411yescharacteristic
390C22×C4×C47C2411yescharacteristic
391C22×C4×C47C2411yescharacteristic
392C22×C4×C47C2411yescharacteristic
393C22×C4×C47C2411yescharacteristic
394C22×C4×C47C2411yescharacteristic
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C4⋊C4×C47—22no—
419C4⋊C4×C47—22no—
420C4⋊C4×C47—22no—
421C4⋊C4×C47—22no—
422C4⋊C4×C47—22no—
423C4⋊C4×C47—22no—
424C4⋊C4×C47—22no—
425C4⋊C4×C47—22no—
426C4⋊C4×C47—22no—
427C4⋊C4×C47—22no—
428C4⋊C4×C47—22no—
429C4⋊C4×C47—22no—
430C4⋊C4×C47—22no—
431C4⋊C4×C47—22no—
432C4⋊C4×C47—22no—
433C4⋊C4×C47—22no—
434C4⋊C4×C47—22no—
435C4⋊C4×C47—22no—
436C4⋊C4×C47—22no—
437C4⋊C4×C47—22no—
438C4⋊C4×C47—22no—
439C4⋊C4×C47—22no—
440C4⋊C4×C47—22no—
441C4⋊C4×C47—22no—
442C4⋊C4×C47—22no—
443C4⋊C4×C47—22no—
444C4⋊C4×C47—22no—
445C4⋊C4×C47—22no—
446C4⋊C4×C47—22no—
447C4⋊C4×C47—22no—
448C4⋊C4×C47—22no—
449C4⋊C4×C47—41no—
450C4⋊C4×C47—41no—
451C4⋊C4×C47—41no—
452C4⋊C4×C47—41no—
453C4⋊C4×C47—41no—
454C4⋊C4×C47—41no—
455C4⋊C4×C47#4114yes—
456C22⋊C4×C47—22no—
457C22⋊C4×C47—22no—
458C22⋊C4×C47—22no—
459C22⋊C4×C47—22no—
460C22⋊C4×C47—22no—
461C22⋊C4×C47—22no—
462C22⋊C4×C47—22no—
463C22⋊C4×C47—22no—
464C22⋊C4×C47—22no—
465C22⋊C4×C47—22no—
466C22⋊C4×C47—22no—
467C22⋊C4×C47—22no—
468C22⋊C4×C47—22no—
469C22⋊C4×C47—22no—
470C22⋊C4×C47—22no—
471C22⋊C4×C47—22no—
472C22⋊C4×C47—41no—
473C22⋊C4×C47—41no—
474C22⋊C4×C47—41no—
475C22⋊C4×C47#4114yes—
476C42×C47—22no—
477C42×C47—22no—
478C42×C47—22no—
479C42×C47—22no—
480C42×C47—22no—
481C42×C47—22no—
482C42×C47—22no—
483C42×C47—22no—
484C42×C47—22no—
485C42×C47—22no—
486C42×C47—22no—
487C42×C47—22no—
488C42×C47—22no—
489C42×C47—22no—
490C42×C47—22no—
491C42×C47—22no—
492C42×C47—22no—
493C42×C47—22no—
494C42×C47—22no—
495C42×C47—22no—
496C42×C47—22no—
497C42×C47—22no—
498C42×C47—22no—
499C42×C47—22no—
500C42×C47—41no—
501C42×C47—41no—
502C42×C47#4114yes—
503C23×C47—21no—
504C23×C47—21no—
505C23×C47—21no—
506C23×C47—21no—
507C23×C47—21no—
508C23×C47—21no—
509C23×C47—21no—
510C23×C47—21no—
511C23×C47—21no—
512C23×C47—21no—
513C23×C47—21no—
514C23×C47C2×#4112yes—
515C23×C47C2×#4112yes—
516C23×C47C2×#4112yes—
517C23×C47C2511yescharacteristic
518Q8×C47—44no—
519D4×C47—44no—
520C2×C4×C47—28no—
521C2×C4×C47—28no—
522C2×C4×C47—21no—
523C2×C4×C47—21no—
524C2×C4×C47—21no—
525C2×C4×C47—21no—
526C2×C4×C47—21no—
527C2×C4×C47—21no—
528C2×C4×C47—21no—
529C2×C4×C47—21no—
530C2×C4×C47—21no—
531C2×C4×C47—21no—
532C2×C4×C47—21no—
533C2×C4×C47—21no—
534C2×C4×C47—21no—
535C2×C4×C47—21no—
536C2×C4×C47—21no—
537C2×C4×C47—21no—
538C2×C4×C47—21no—
539C2×C4×C47—21no—
540C2×C4×C47—21no—
541C2×C4×C47—21no—
542C2×C4×C47—28no—
543C2×C4×C47—21no—
544C2×C4×C47—21no—
545C2×C4×C47—21no—
546C2×C4×C47—21no—
547C2×C4×C47—21no—
548C2×C4×C47—21no—
549C2×C4×C47—21no—
550C2×C4×C47—21no—
551C2×C4×C47—21no—
552C2×C4×C47—21no—
553C2×C4×C47—21no—
554C2×C4×C47—21no—
555C2×C4×C47—21no—
556C2×C4×C47—21no—
557C2×C4×C47—21no—
558C2×C4×C47—21no—
559C2×C4×C47—21no—
560C2×C4×C47—21no—
561C2×C4×C47—21no—
562C2×C4×C47—21no—
563C2×C4×C47—21no—
564C2×C4×C47—21no—
565C2×C4×C47—21no—
566C2×C4×C47—21no—
567C2×C4×C47—21no—
568C2×C4×C47—21no—
569C2×C4×C47—21no—
570C2×C4×C47—21no—
571C2×C4×C47—21no—
572C2×C4×C47—21no—
573C2×C4×C47—21no—
574C2×C4×C47—21no—
575C2×C4×C47—21no—
576C2×C4×C47—21no—
577C2×C4×C47—21no—
578C2×C4×C47—21no—
579C2×C4×C47—21no—
580C2×C4×C47—21no—
581C2×C4×C47—21no—
582C2×C4×C47—21no—
583C2×C4×C47—21no—
584C2×C4×C47—21no—
585C2×C4×C47—21no—
586C2×C4×C47—21no—
587C2×C4×C47—21no—
588C2×C4×C47—21no—
589C2×C4×C47—21no—
590C2×C4×C47—21no—
591C2×C4×C47—21no—
592C2×C4×C47—21no—
593C2×C4×C47—21no—
594C2×C4×C47—21no—
595C2×C4×C47—21no—
596C2×C4×C47—21no—
597C2×C4×C47—44no—
598C2×C4×C47—44no—
599C2×C4×C47—44no—
600C2×C4×C47—44no—
601C2×C4×C47—44no—
602C2×C4×C47C2×#4112yes—
603C2×C4×C47C2×#4112yes—
604C2×C4×C47C2×#4112yes—
605C2×C4×C47C2×#4112yes—
606C2×C4×C47C2×#4112yes—
607C2×C4×C47C2×#4112yes—
608C2×C4×C47C2×#4112yes—
609C2×C4×C47C2×#4112yes—
610C2×C4×C47C2×#4112yes—
611C2×C4×C47C2×#4112yes—
612C2×C4×C47C2×#4112yes—
613C2×C4×C47C2×#4112yes—
614C2×C4×C472−1+412yes—
615#34808C4711yesmaximal, characteristic, direct product factor, Sylow
616C22×C47—22no—
617C22×C47—22no—
618C22×C47—22no—
619C22×C47—22no—
620C22×C47—22no—
621C22×C47—22no—
622C22×C47—41no—
623C22×C47—41no—
624C22×C47—41no—
625C22×C47—41no—
626C22×C47—41no—
627C22×C47—41no—
628C22×C47—41no—
629C22×C47#52914yes—
630C22×C47C22×#4111yescharacteristic
631C22×C47C22×#4111yescharacteristic
632C22×C47C22×#4111yescharacteristic
633C22×C47C22×#4111yescharacteristic
634C22×C47C22×#4111yescharacteristic
635C22×C47C2×2−1+411yescharacteristic
636C22×C47#58511yescharacteristic
637C4×C47—22no—
638C4×C47—22no—
639C4×C47—22no—
640C4×C47—22no—
641C4×C47—22no—
642C4×C47—22no—
643C4×C47—22no—
644C4×C47—22no—
645C4×C47—22no—
646C4×C47—22no—
647C4×C47—41no—
648C4×C47—41no—
649C4×C47—41no—
650C4×C47—41no—
651C4×C47—41no—
652C4×C47—41no—
653C4×C47—41no—
654C4×C47—41no—
655C4×C47—41no—
656C4×C47—41no—
657C4×C47—41no—
658C4×C47—41no—
659C4×C47—41no—
660C4×C47—41no—
661C4×C47—41no—
662C4×C47—41no—
663C4×C47—41no—
664C4×C47—41no—
665C4×C47#55214yes—
666#2533C2×C4711yescharacteristic, complemented
667#2532C2×C4711yescharacteristic, complemented
668#2529C2×C4711yescharacteristic, complemented
669#2528C2×C4711yescharacteristic, complemented
670#2525C2×C4711yescharacteristic, complemented
671#2524C2×C4711yescharacteristic, complemented
672#2520C2×C4711yescharacteristic, complemented
673#2519C2×C4711yescharacteristic, complemented
674#2498C2×C4711yescharacteristic
675#2493C2×C4711yescharacteristic, complemented
676#2488C2×C4711yescharacteristic
677#2484C2×C4711yescharacteristic, complemented
678#2481C2×C4711yescharacteristic
679#2473C2×C4711yescharacteristic, complemented
680#2438C2×C4711yescharacteristic, complemented
681#2413C2×C4711yescharacteristic
682#2402C2×C4711yescharacteristic, complemented
683#2402C2×C4711yescharacteristic, complemented
684#2401C2×C4711yescharacteristic, complemented
685#2396C2×C4711yescharacteristic, complemented
686C4×#125C2×C4711yescharacteristic, complemented
687C4×#126C2×C4711yescharacteristic, complemented
688C4×C22⋊Q8C2×C4711yescharacteristic, complemented
689C4×#123C2×C4711yescharacteristic
690C4×#123C2×C4711yescharacteristic
691#2298C2×C4711yescharacteristic, complemented
692#2295C2×C4711yescharacteristic, complemented
693#2290C2×C4711yescharacteristic
694#2283C2×C4711yescharacteristic, complemented
695C4×#117C2×C4711yescharacteristic, complemented
696C2×C4×C4⋊C4C2×C4711yescharacteristic, complemented
697C2×C47—24no—
698C2×C47—81no—
699C2×C47C2×#52911yescharacteristic
700C2×C47#344411yescharacteristic
701C2×C47#346111yescharacteristic
702C2×C47C2×#55211yescharacteristic
703C2×C47#347511yescharacteristic
704C2×C47#347511yescharacteristic
705C2×C47#348211yescharacteristic
706C2×#126C22×C4711yescharacteristic
707C2×#125C22×C4711yescharacteristic
708C2×#123C22×C4711yescharacteristic
709C2×#123C22×C4711yescharacteristic
710C2×C22⋊Q8C22×C4711yescharacteristic
711C2×C4×Q8C22×C4711yescharacteristic
712C2×C4×D4C22×C4711yescharacteristic
713C2×#117C22×C4711yescharacteristic
714C2×#117C22×C4711yescharacteristic
715C2×#117C22×C4711yescharacteristic
716C22×C4⋊C4C22×C4711yescharacteristic
717C22×C4⋊C4C22×C4711yescharacteristic
718C22×C42C22×C4711yescharacteristic
719C22×C42C22×C4711yescharacteristic
720C22×C42C22×C4711yescharacteristic
721#401C22×C4711yescharacteristic
722#400C22×C4711yescharacteristic
723#400C22×C4711yescharacteristic
724#400C22×C4711yescharacteristic
725#400C22×C4711yescharacteristic
726#400C22×C4711yescharacteristic
727#400C22×C4711yescharacteristic
728#400C22×C4711yescharacteristic
729#400C22×C4711yescharacteristic
730#400C22×C4711yescharacteristic
731#400C22×C4711yescharacteristic
732#400C22×C4711yescharacteristic
733#400C22×C4711yescharacteristic
734#399C22×C4711yescharacteristic
735#398C22×C4711yescharacteristic
736#398C22×C4711yescharacteristic
737#398C22×C4711yescharacteristic
738#398C22×C4711yescharacteristic
739#398C22×C4711yescharacteristic
740#398C22×C4711yescharacteristic
741#398C22×C4711yescharacteristic
742#398C22×C4711yescharacteristic
743#398C22×C4711yescharacteristic
744#398C22×C4711yescharacteristic
745#397C22×C4711yescharacteristic
746#397C22×C4711yescharacteristic
747#397C22×C4711yescharacteristic
748#396C22×C4711yescharacteristic
749#396C22×C4711yescharacteristic
750#396C22×C4711yescharacteristic
751#395C22×C4711yescharacteristic
752#393C22×C4711yescharacteristic
753#391C22×C4711yescharacteristic
754#391C22×C4711yescharacteristic
755#391C22×C4711yescharacteristic
756#389C22×C4711yescharacteristic
757#389C22×C4711yescharacteristic
758#389C22×C4711yescharacteristic
759#389C22×C4711yescharacteristic
760#389C22×C4711yescharacteristic
761#388C22×C4711yescharacteristic
762#388C22×C4711yescharacteristic
763#388C22×C4711yescharacteristic
764#388C22×C4711yescharacteristic
765#388C22×C4711yescharacteristic
766#388C22×C4711yescharacteristic
767#388C22×C4711yescharacteristic
768#388C22×C4711yescharacteristic
769#388C22×C4711yescharacteristic
770#388C22×C4711yescharacteristic
771#388C22×C4711yescharacteristic
772#388C22×C4711yescharacteristic
773#388C22×C4711yescharacteristic
774#387C22×C4711yescharacteristic
775#387C22×C4711yescharacteristic
776#387C22×C4711yescharacteristic
777#387C22×C4711yescharacteristic
778#387C22×C4711yescharacteristic
779#387C22×C4711yescharacteristic
780#387C22×C4711yescharacteristic
781#387C22×C4711yescharacteristic
782#387C22×C4711yescharacteristic
783#387C22×C4711yescharacteristic
784#387C22×C4711yescharacteristic
785#387C22×C4711yescharacteristic
786#387C22×C4711yescharacteristic
787#387C22×C4711yescharacteristic
788#387C22×C4711yescharacteristic
789#387C22×C4711yescharacteristic
790#387C22×C4711yescharacteristic
791#387C22×C4711yescharacteristic
792#387C22×C4711yescharacteristic
793#387C22×C4711yescharacteristic
794#387C22×C4711yescharacteristic
795#387C22×C4711yescharacteristic
796#387C22×C4711yescharacteristic
797#386C22×C4711yescharacteristic
798#386C22×C4711yescharacteristic
799#386C22×C4711yescharacteristic
800#386C22×C4711yescharacteristic
801#385C22×C4711yescharacteristic
802#385C22×C4711yescharacteristic
803#385C22×C4711yescharacteristic
804#385C22×C4711yescharacteristic
805#385C22×C4711yescharacteristic
806#385C22×C4711yescharacteristic
807#383C22×C4711yescharacteristic
808#383C22×C4711yescharacteristic
809#383C22×C4711yescharacteristic
810#382C22×C4711yescharacteristic
811#382C22×C4711yescharacteristic
812#382C22×C4711yescharacteristic
813#381C22×C4711yescharacteristic
814#381C22×C4711yescharacteristic
815#381C22×C4711yescharacteristic
816#381C22×C4711yescharacteristic
817#380C22×C4711yescharacteristic
818#380C22×C4711yescharacteristic
819#380C22×C4711yescharacteristic
820C4×C4⋊C4C22×C4711yescharacteristic
821C4×C4⋊C4C22×C4711yescharacteristic
822C4×C4⋊C4C22×C4711yescharacteristic
823C4×C4⋊C4C22×C4711yescharacteristic
824C4×C4⋊C4C22×C4711yescharacteristic
825C4×C4⋊C4C22×C4711yescharacteristic
826C4×C4⋊C4C22×C4711yescharacteristic
827C4×C4⋊C4C22×C4711yescharacteristic
828C4×C4⋊C4C22×C4711yescharacteristic
829C4×C4⋊C4C22×C4711yescharacteristic
830C4×C4⋊C4C22×C4711yescharacteristic
831C4×C4⋊C4C22×C4711yescharacteristic
832C4×C4⋊C4C22×C4711yescharacteristic
833C4×C4⋊C4C22×C4711yescharacteristic
834C4×C4⋊C4C22×C4711yescharacteristic
835C4×C4⋊C4C22×C4711yescharacteristic
836C4×C4⋊C4C22×C4711yescharacteristic
837C4×C4⋊C4C22×C4711yescharacteristic
838C4×C4⋊C4C22×C4711yescharacteristic
839C4×C4⋊C4C22×C4711yescharacteristic
840C4×C4⋊C4C22×C4711yescharacteristic
841C4×C4⋊C4C22×C4711yescharacteristic
842C4×C22⋊C4C22×C4711yescharacteristic
843C4×C22⋊C4C22×C4711yescharacteristic
844C4×C22⋊C4C22×C4711yescharacteristic
845C4×C22⋊C4C22×C4711yescharacteristic
846C4×C22⋊C4C22×C4711yescharacteristic
847C4×C22⋊C4C22×C4711yescharacteristic
848C4×C22⋊C4C22×C4711yescharacteristic
849C4×C22⋊C4C22×C4711yescharacteristic
850C4×C22⋊C4C22×C4711yescharacteristic
851C4×C22⋊C4C22×C4711yescharacteristic
852#376C22×C4711yescharacteristic
853#376C22×C4711yescharacteristic
854#376C22×C4711yescharacteristic
855#376C22×C4711yescharacteristic
856#376C22×C4711yescharacteristic
857C2×#95C22×C4711yescharacteristic
858C2×#95C22×C4711yescharacteristic
859C43C22×C4711yescharacteristic
860C43C22×C4711yescharacteristic
861C47#3480811yescharacteristic, direct product factor, Sylow
862C22×Q8C23×C4711yescharacteristic
863C22×D4C23×C4711yescharacteristic
864C23×C4C23×C4711yescharacteristic
865C23×C4C23×C4711yescharacteristic
866C23×C4C23×C4711yescharacteristic
867C23×C4C23×C4711yescharacteristic
868C23×C4C23×C4711yescharacteristic
869C23×C4C23×C4711yescharacteristic
870C23×C4C23×C4711yescharacteristic
871C23×C4C23×C4711yescharacteristic
872#126—24no—
873#125—24no—
874#123—24no—
875#123—24no—
876C22⋊Q8—24no—
877C4×Q8—24no—
878C4×D4—24no—
879#117—24no—
880#117—24no—
881#117—24no—
882C2×C4⋊C4—24no—
883C2×C4⋊C4—24no—
884C2×C4⋊C4C23×C4711yescharacteristic
885C2×C4⋊C4C23×C4711yescharacteristic
886C2×C4⋊C4C23×C4711yescharacteristic
887C2×C4⋊C4C23×C4711yescharacteristic
888C2×C4⋊C4C23×C4711yescharacteristic
889C2×C4⋊C4C23×C4711yescharacteristic
890C2×C4⋊C4C23×C4711yescharacteristic
891C2×C4⋊C4C23×C4711yescharacteristic
892C2×C4⋊C4C23×C4711yescharacteristic
893C2×C4⋊C4C23×C4711yescharacteristic
894C2×C4⋊C4C23×C4711yescharacteristic
895C2×C4⋊C4C23×C4711yescharacteristic
896C2×C4⋊C4C23×C4711yescharacteristic
897C2×C4⋊C4C23×C4711yescharacteristic
898C2×C4⋊C4C23×C4711yescharacteristic
899C2×C4⋊C4C23×C4711yescharacteristic
900C2×C4⋊C4C23×C4711yescharacteristic
901C2×C4⋊C4C23×C4711yescharacteristic
902C2×C4⋊C4C23×C4711yescharacteristic
903C2×C4⋊C4C23×C4711yescharacteristic
904C2×C4⋊C4C23×C4711yescharacteristic
905C2×C4⋊C4C23×C4711yescharacteristic
906C2×C4⋊C4C23×C4711yescharacteristic
907C2×C4⋊C4C23×C4711yescharacteristic
908C2×C4⋊C4C23×C4711yescharacteristic
909C2×C4⋊C4C23×C4711yescharacteristic
910C2×C4⋊C4C23×C4711yescharacteristic
911C2×C4⋊C4C23×C4711yescharacteristic
912C2×C4⋊C4C23×C4711yescharacteristic
913C2×C4⋊C4C23×C4711yescharacteristic
914C2×C4⋊C4C23×C4711yescharacteristic
915C2×C4⋊C4C23×C4711yescharacteristic
916C2×C4⋊C4C23×C4711yescharacteristic
917C2×C4⋊C4C23×C4711yescharacteristic
918C2×C4⋊C4C23×C4711yescharacteristic
919C2×C4⋊C4C23×C4711yescharacteristic
920C2×C4⋊C4C23×C4711yescharacteristic
921C2×C4⋊C4C23×C4711yescharacteristic
922C2×C22⋊C4C23×C4711yescharacteristic
923C2×C22⋊C4C23×C4711yescharacteristic
924C2×C22⋊C4C23×C4711yescharacteristic
925C2×C22⋊C4C23×C4711yescharacteristic
926C2×C22⋊C4C23×C4711yescharacteristic
927C2×C22⋊C4C23×C4711yescharacteristic
928C2×C22⋊C4C23×C4711yescharacteristic
929C2×C22⋊C4C23×C4711yescharacteristic
930C2×C22⋊C4C23×C4711yescharacteristic
931C2×C22⋊C4C23×C4711yescharacteristic
932C2×C22⋊C4C23×C4711yescharacteristic
933C2×C22⋊C4C23×C4711yescharacteristic
934C2×C22⋊C4C23×C4711yescharacteristic
935C2×C22⋊C4C23×C4711yescharacteristic
936C2×C22⋊C4C23×C4711yescharacteristic
937C2×C22⋊C4C23×C4711yescharacteristic
938C2×C22⋊C4C23×C4711yescharacteristic
939C2×C22⋊C4C23×C4711yescharacteristic
940C2×C22⋊C4C23×C4711yescharacteristic
941C2×C22⋊C4C23×C4711yescharacteristic
942C2×C42—24no—
943C2×C42—24no—
944C2×C42—24no—
945C2×C42C23×C4711yescharacteristic
946C2×C42C23×C4711yescharacteristic
947C2×C42C23×C4711yescharacteristic
948C2×C42C23×C4711yescharacteristic
949C2×C42C23×C4711yescharacteristic
950C2×C42C23×C4711yescharacteristic
951C2×C42C23×C4711yescharacteristic
952C2×C42C23×C4711yescharacteristic
953C2×C42C23×C4711yescharacteristic
954C2×C42C23×C4711yescharacteristic
955C2×C42C23×C4711yescharacteristic
956C2×C42C23×C4711yescharacteristic
957C2×C42C23×C4711yescharacteristic
958C2×C42C23×C4711yescharacteristic
959C2×C42C23×C4711yescharacteristic
960C2×C42C23×C4711yescharacteristic
961C2×C42C23×C4711yescharacteristic
962C2×C42C23×C4711yescharacteristic
963C2×C42C23×C4711yescharacteristic
964C2×C42C23×C4711yescharacteristic
965C2×C42C23×C4711yescharacteristic
966C2×C42C23×C4711yescharacteristic
967C2×C42C23×C4711yescharacteristic
968C2×C42C23×C4711yescharacteristic
969C2×C42C23×C4711yescharacteristic
970C2×C42C23×C4711yescharacteristic
971C2×C42C23×C4711yescharacteristic
972#95C23×C4711yescharacteristic
973#95C23×C4711yescharacteristic
974#95C23×C4711yescharacteristic
975#95C23×C4711yescharacteristic
976#95C23×C4711yescharacteristic
977#95C23×C4711yescharacteristic
978#95C23×C4711yescharacteristic
979#95C23×C4711yescharacteristic
980#95C23×C4711yescharacteristic
981#95C23×C4711yescharacteristic
982#95C23×C4711yescharacteristic
983#95C23×C4711yescharacteristic
984#95C23×C4711yescharacteristic
985#95C23×C4711yescharacteristic
986#95C23×C4711yescharacteristic
987#95C23×C4711yescharacteristic
988#95C23×C4711yescharacteristic
989#95C23×C4711yescharacteristic
990#95C23×C4711yescharacteristic
991#95C23×C4711yescharacteristic
992#95C23×C4711yescharacteristic
993#95C23×C4711yescharacteristic
994#95C23×C4711yescharacteristic
995#95C23×C4711yescharacteristic
996#95C23×C4711yescharacteristic
997#95C23×C4711yescharacteristic
998#95C23×C4711yescharacteristic
999#95C23×C4711yescharacteristic
1000#95C23×C4711yescharacteristic
1001#95C23×C4711yescharacteristic
1002#95C23×C4711yescharacteristic
1003#95C23×C4711yescharacteristic
1004#95C23×C4711yescharacteristic
1005#95C23×C4711yescharacteristic
1006#95C23×C4711yescharacteristic
1007#95C23×C4711yescharacteristic
1008#95C23×C4711yescharacteristic
1009#95C23×C4711yescharacteristic
1010#95C23×C4711yescharacteristic
1011#95C23×C4711yescharacteristic
1012#95C23×C4711yescharacteristic
1013#95C23×C4711yescharacteristic
1014#95C23×C4711yescharacteristic
1015#95C23×C4711yescharacteristic
1016#95C23×C4711yescharacteristic
1017#95C23×C4711yescharacteristic
1018#95C23×C4711yescharacteristic
1019#95C23×C4711yescharacteristic
1020#95C23×C4711yescharacteristic
1021#95C23×C4711yescharacteristic
1022#95C23×C4711yescharacteristic
1023#95C23×C4711yescharacteristic
1024#95C23×C4711yescharacteristic
1025#95C23×C4711yescharacteristic
1026#95C23×C4711yescharacteristic
1027#95C23×C4711yescharacteristic
1028#95C23×C4711yescharacteristic
1029#95C23×C4711yescharacteristic
1030#95C23×C4711yescharacteristic
1031#95C23×C4711yescharacteristic
1032C24C24×C4711yescharacteristic
1033C24C24×C4711yescharacteristic
1034C2×Q8—22no—
1035C2×Q8—22no—
1036C2×Q8—41no—
1037C2×D4—22no—
1038C2×D4—22no—
1039C2×D4—22no—
1040C22×C4—22no—
1041C22×C4—22no—
1042C22×C4—22no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—22no—
1046C22×C4—22no—
1047C22×C4—22no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—22no—
1059C22×C4—41no—
1060C22×C4—41no—
1061C22×C4—41no—
1062C22×C4#41×C4714yes—
1063C22×C4#41×C4714yes—
1064C22×C4C24×C4711yescharacteristic
1065C22×C4C24×C4711yescharacteristic
1066C22×C4C24×C4711yescharacteristic
1067C22×C4C24×C4711yescharacteristic
1068C22×C4C24×C4711yescharacteristic
1069C22×C4C24×C4711yescharacteristic
1070C22×C4C24×C4711yescharacteristic
1071C22×C4C24×C4711yescharacteristic
1072C22×C4C24×C4711yescharacteristic
1073C22×C4C24×C4711yescharacteristic
1074C22×C4C24×C4711yescharacteristic
1075C22×C4C24×C4711yescharacteristic
1076C22×C4C24×C4711yescharacteristic
1077C22×C4C24×C4711yescharacteristic
1078C22×C4C24×C4711yescharacteristic
1079C22×C4C24×C4711yescharacteristic
1080C22×C4C24×C4711yescharacteristic
1081C22×C4C24×C4711yescharacteristic
1082C22×C4C24×C4711yescharacteristic
1083C22×C4C24×C4711yescharacteristic
1084C22×C4C24×C4711yescharacteristic
1085C22×C4C24×C4711yescharacteristic
1086C22×C4C24×C4711yescharacteristic
1087C22×C4C24×C4711yescharacteristic
1088C22×C4C24×C4711yescharacteristic
1089C22×C4C24×C4711yescharacteristic
1090C22×C4C24×C4711yescharacteristic
1091C22×C4C24×C4711yescharacteristic
1092C22×C4C24×C4711yescharacteristic
1093C4⋊C4—22no—
1094C4⋊C4—22no—
1095C4⋊C4—22no—
1096C4⋊C4—22no—
1097C4⋊C4—22no—
1098C4⋊C4—22no—
1099C4⋊C4—22no—
1100C4⋊C4—22no—
1101C4⋊C4—22no—
1102C4⋊C4—22no—
1103C4⋊C4—22no—
1104C4⋊C4—22no—
1105C4⋊C4—22no—
1106C4⋊C4—22no—
1107C4⋊C4—22no—
1108C4⋊C4—22no—
1109C4⋊C4—22no—
1110C4⋊C4—22no—
1111C4⋊C4—22no—
1112C4⋊C4—22no—
1113C4⋊C4—22no—
1114C4⋊C4—22no—
1115C4⋊C4—22no—
1116C4⋊C4—22no—
1117C4⋊C4—22no—
1118C4⋊C4—22no—
1119C4⋊C4—22no—
1120C4⋊C4—22no—
1121C4⋊C4—22no—
1122C4⋊C4—22no—
1123C4⋊C4—22no—
1124C4⋊C4—41no—
1125C4⋊C4—41no—
1126C4⋊C4—41no—
1127C4⋊C4—41no—
1128C4⋊C4—41no—
1129C4⋊C4—41no—
1130C4⋊C4#41×C4714yes—
1131C22⋊C4—22no—
1132C22⋊C4—22no—
1133C22⋊C4—22no—
1134C22⋊C4—22no—
1135C22⋊C4—22no—
1136C22⋊C4—22no—
1137C22⋊C4—22no—
1138C22⋊C4—22no—
1139C22⋊C4—22no—
1140C22⋊C4—22no—
1141C22⋊C4—22no—
1142C22⋊C4—22no—
1143C22⋊C4—22no—
1144C22⋊C4—22no—
1145C22⋊C4—22no—
1146C22⋊C4—22no—
1147C22⋊C4—41no—
1148C22⋊C4—41no—
1149C22⋊C4—41no—
1150C22⋊C4#41×C4714yes—
1151C42—22no—
1152C42—22no—
1153C42—22no—
1154C42—22no—
1155C42—22no—
1156C42—22no—
1157C42—22no—
1158C42—22no—
1159C42—22no—
1160C42—22no—
1161C42—22no—
1162C42—22no—
1163C42—22no—
1164C42—22no—
1165C42—22no—
1166C42—22no—
1167C42—22no—
1168C42—22no—
1169C42—22no—
1170C42—22no—
1171C42—22no—
1172C42—22no—
1173C42—22no—
1174C42—22no—
1175C42—41no—
1176C42—41no—
1177C42#41×C4714yes—
1178C23—21no—
1179C23—21no—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23C2×#41×C4712yes—
1190C23C2×#41×C4712yes—
1191C23C2×#41×C4712yes—
1192C23C25×C4711yescharacteristic
1193Q8—44no—
1194D4—44no—
1195C2×C4—28no—
1196C2×C4—28no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—28no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—44no—
1273C2×C4—44no—
1274C2×C4—44no—
1275C2×C4—44no—
1276C2×C4—44no—
1277C2×C4C2×#41×C4712yes—
1278C2×C4C2×#41×C4712yes—
1279C2×C4C2×#41×C4712yes—
1280C2×C4C2×#41×C4712yes—
1281C2×C4C2×#41×C4712yes—
1282C2×C4C2×#41×C4712yes—
1283C2×C4C2×#41×C4712yes—
1284C2×C4C2×#41×C4712yes—
1285C2×C4C2×#41×C4712yes—
1286C2×C4C2×#41×C4712yes—
1287C2×C4C2×#41×C4712yes—
1288C2×C4C2×#41×C4712yes—
1289C2×C42−1+4×C4712yes—
1290C22—22no—
1291C22—22no—
1292C22—22no—
1293C22—22no—
1294C22—22no—
1295C22—22no—
1296C22—41no—
1297C22—41no—
1298C22—41no—
1299C22—41no—
1300C22—41no—
1301C22—41no—
1302C22—41no—
1303C22C47×#52914yes—
1304C22C22×#41×C4711yescharacteristic
1305C22C22×#41×C4711yescharacteristic
1306C22C22×#41×C4711yescharacteristic
1307C22C22×#41×C4711yescharacteristic
1308C22C22×#41×C4711yescharacteristic
1309C22C2×2−1+4×C4711yescharacteristic
1310C22C47×#58511yescharacteristic
1311C4—22no—
1312C4—22no—
1313C4—22no—
1314C4—22no—
1315C4—22no—
1316C4—22no—
1317C4—22no—
1318C4—22no—
1319C4—22no—
1320C4—22no—
1321C4—41no—
1322C4—41no—
1323C4—41no—
1324C4—41no—
1325C4—41no—
1326C4—41no—
1327C4—41no—
1328C4—41no—
1329C4—41no—
1330C4—41no—
1331C4—41no—
1332C4—41no—
1333C4—41no—
1334C4—41no—
1335C4—41no—
1336C4—41no—
1337C4—41no—
1338C4—41no—
1339C4C47×#55214yes—
1340C2—24no—
1341C2—81no—
1342C2C2×C47×#52911yescharacteristic
1343C2C47×#344411yescharacteristic
1344C2C47×#346111yescharacteristic
1345C2C2×C47×#55211yescharacteristic
1346C2C47×#347511yescharacteristic
1347C2C47×#347511yescharacteristic
1348C2C47×#348211yescharacteristic
subgroupG/H
centerC22×C4×C47C24
commutator, Frattini, cosocleC23C25×C47
socleC23×C47C25
prime radicalC22×D4×C47C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#2533C2semidirect
2. C47×#2532C2semidirect
3. C47×#2529C2semidirect
4. C47×#2528C2semidirect
5. C47×#2525C2semidirect
6. C47×#2524C2semidirect
7. C47×#2520C2semidirect
8. C47×#2519C2semidirect
10. C47×#2493C2semidirect
12. C47×#2484C2semidirect
14. C47×#2473C2semidirect
15. C47×#2438C2semidirect
17. C47×#2402C2semidirect
18. C47×#2402C2semidirect
19. C47×#2401C2semidirect
20. C47×#2396C2semidirect
21. C4×#125×C47C2semidirect
22. C4×#126×C47C2semidirect
23. C4×C22⋊Q8×C47C2semidirect
26. C47×#2298C2semidirect
27. C47×#2295C2semidirect
29. C47×#2283C2semidirect
30. C4×#117×C47C2semidirect
31. C2×C4×C4⋊C4×C47C2semidirect
615. #34808C47direct (N × H)
666. #2533C2×C47semidirect
667. #2532C2×C47semidirect
668. #2529C2×C47semidirect
669. #2528C2×C47semidirect
670. #2525C2×C47semidirect
671. #2524C2×C47semidirect
672. #2520C2×C47semidirect
673. #2519C2×C47semidirect
675. #2493C2×C47semidirect
677. #2484C2×C47semidirect
679. #2473C2×C47semidirect
680. #2438C2×C47semidirect
682. #2402C2×C47semidirect
683. #2402C2×C47semidirect
684. #2401C2×C47semidirect
685. #2396C2×C47semidirect
686. C4×#125C2×C47semidirect
687. C4×#126C2×C47semidirect
688. C4×C22⋊Q8C2×C47semidirect
691. #2298C2×C47semidirect
692. #2295C2×C47semidirect
694. #2283C2×C47semidirect
695. C4×#117C2×C47semidirect
696. C2×C4×C4⋊C4C2×C47semidirect
861. C47#34808direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#25332
C47×#25322
C47×#25292
C47×#25282
C47×#25252
C47×#25242
C47×#25202
C47×#25192
C47×#24982
C47×#24932
C47×#24882
C47×#24842
C47×#24812
C47×#24732
C47×#24382
C47×#24132
C47×#24022
C47×#24012
C47×#23962
C4×#125×C472
C4×#126×C472
C4×C22⋊Q8×C472
C4×#123×C472
C47×#22982
C47×#22952
C47×#22902
C47×#22832
C4×#117×C472
C2×C4×C4⋊C4×C472
#3480847