Finite Group Databasebeta

← C47×#35096 #26074794

Subgroups — C47×#35096 #26074794

Order 12032.

2342 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C47×#539C211yesmaximal, characteristic, complemented
2C2×C4×#41×C47C211yesmaximal, characteristic, complemented
3C47×#2855C211yesmaximal, characteristic, complemented
4C47×#2853C211yesmaximal, characteristic, complemented
5C47×#2852C211yesmaximal, characteristic, complemented
6C47×#2851C211yesmaximal, characteristic, complemented
7C47×#2638C211yesmaximal, characteristic, complemented
8C47×#2637C211yesmaximal, characteristic, complemented
9C47×#2634C211yesmaximal, characteristic, complemented
10C47×#2630C211yesmaximal, characteristic, complemented
11C47×#2478C211yesmaximal, characteristic, complemented
12C47×#2477C211yesmaximal, characteristic, complemented
13C47×#2475C211yesmaximal, characteristic, complemented
14C47×#2470C211yesmaximal, characteristic, complemented
15C47×#2468C211yesmaximal, characteristic, complemented
16C47×#2465C211yesmaximal, characteristic, complemented
17C47×#2462C211yesmaximal, characteristic, complemented
18C47×#2457C211yesmaximal, characteristic, complemented
19C47×#2450C211yesmaximal, characteristic, complemented
20C47×#2444C211yesmaximal, characteristic, complemented
21C47×#2438C211yesmaximal, characteristic, complemented
22C47×#2430C211yesmaximal, characteristic
23C47×#2425C211yesmaximal, characteristic, complemented
24C47×#2419C211yesmaximal, characteristic, complemented
25C47×#2413C211yesmaximal, characteristic, complemented
26C47×#2406C211yesmaximal, characteristic, complemented
27C47×#2325C211yesmaximal, characteristic, complemented
28C47×#2322C211yesmaximal, characteristic, complemented
29C47×#2318C211yesmaximal, characteristic, complemented
30C4×#123×C47C211yesmaximal, characteristic, complemented
31C2×C47×#387C211yesmaximal, characteristic, complemented
32C22×#41×C47C2211yescharacteristic
33C47×#539—28no—
34C2×#126×C47C2211yescharacteristic
35C2×#126×C47C2211yescharacteristic
36C2×#125×C47C2211yescharacteristic
37C2×#125×C47C2211yescharacteristic
38C2×#123×C47C2211yescharacteristic
39C2×#123×C47C2211yescharacteristic
40C2×#123×C47C2211yescharacteristic
41C2×#123×C47C2211yescharacteristic
42C2×#123×C47C2211yescharacteristic
43C2×#123×C47C2211yescharacteristic
44C2×C22⋊Q8×C47C2211yescharacteristic
45C2×C22⋊Q8×C47C2211yescharacteristic
46C2×C22⋊Q8×C47C2211yescharacteristic
47C2×#121×C47C2211yescharacteristic
48C2×#121×C47C2211yescharacteristic
49C4×#41×C47—28no—
50C2×C4×Q8×C47C2211yescharacteristic
51C2×C4×Q8×C47C2211yescharacteristic
52C2×C4×D4×C47C2211yescharacteristic
53C2×C4×D4×C47C2211yescharacteristic
54C2×C4×D4×C47C2211yescharacteristic
55C2×C4×D4×C47C2211yescharacteristic
56C2×C4×D4×C47C2211yescharacteristic
57C2×C4×D4×C47C2211yescharacteristic
58C2×C4×D4×C47C2211yescharacteristic
59C2×#117×C47C2211yescharacteristic
60C2×#117×C47C2211yescharacteristic
61C2×#117×C47C2211yescharacteristic
62C22×C4⋊C4×C47C2211yescharacteristic
63C22×C4⋊C4×C47C2211yescharacteristic
64C22×C42×C47C2211yescharacteristic
65C22×C42×C47C2211yescharacteristic
66C22×C42×C47C2211yescharacteristic
67C47×#400C2211yescharacteristic
68C47×#400C2211yescharacteristic
69C47×#400C2211yescharacteristic
70C47×#400C2211yescharacteristic
71C47×#398C2211yescharacteristic
72C47×#398C2211yescharacteristic
73C47×#398C2211yescharacteristic
74C47×#398C2211yescharacteristic
75C47×#398C2211yescharacteristic
76C47×#398C2211yescharacteristic
77C47×#398C2211yescharacteristic
78C47×#397C2211yescharacteristic
79C47×#397C2211yescharacteristic
80C47×#397C2211yescharacteristic
81C47×#397C2211yescharacteristic
82C47×#397C2211yescharacteristic
83C47×#396C2211yescharacteristic
84C47×#396C2211yescharacteristic
85C47×#396C2211yescharacteristic
86C47×#396C2211yescharacteristic
87C47×#395C2211yescharacteristic
88C47×#395C2211yescharacteristic
89C47×#395C2211yescharacteristic
90C47×#395C2211yescharacteristic
91C47×#394C2211yescharacteristic
92C47×#394C2211yescharacteristic
93C47×#394C2211yescharacteristic
94C47×#394C2211yescharacteristic
95C47×#394C2211yescharacteristic
96C47×#393C2211yescharacteristic
97C47×#393C2211yescharacteristic
98C47×#392C2211yescharacteristic
99C47×#391C2211yescharacteristic
100C47×#391C2211yescharacteristic
101C47×#389C2211yescharacteristic
102C47×#389C2211yescharacteristic
103C47×#389C2211yescharacteristic
104C47×#389C2211yescharacteristic
105C47×#389C2211yescharacteristic
106C47×#389C2211yescharacteristic
107C47×#388C2211yescharacteristic
108C47×#388C2211yescharacteristic
109C47×#388C2211yescharacteristic
110C47×#388C2211yescharacteristic
111C47×#388C2211yescharacteristic
112C47×#388C2211yescharacteristic
113C47×#388C2211yescharacteristic
114C47×#388C2211yescharacteristic
115C47×#388C2211yescharacteristic
116C47×#388C2211yescharacteristic
117C47×#388C2211yescharacteristic
118C47×#388C2211yescharacteristic
119C47×#387C2211yescharacteristic
120C47×#387C2211yescharacteristic
121C47×#387C2211yescharacteristic
122C47×#387C2211yescharacteristic
123C47×#387C2211yescharacteristic
124C47×#387C2211yescharacteristic
125C47×#387C2211yescharacteristic
126C47×#387C2211yescharacteristic
127C47×#387C2211yescharacteristic
128C47×#387C2211yescharacteristic
129C47×#387C2211yescharacteristic
130C47×#387C2211yescharacteristic
131C47×#387C2211yescharacteristic
132C47×#387C2211yescharacteristic
133C47×#387C2211yescharacteristic
134C47×#387C2211yescharacteristic
135C47×#387C2211yescharacteristic
136C47×#387C2211yescharacteristic
137C47×#387C2211yescharacteristic
138C47×#387C2211yescharacteristic
139C47×#387C2211yescharacteristic
140C47×#387C2211yescharacteristic
141C47×#386C2211yescharacteristic
142C47×#386C2211yescharacteristic
143C47×#386C2211yescharacteristic
144C47×#386C2211yescharacteristic
145C47×#386C2211yescharacteristic
146C47×#386C2211yescharacteristic
147C47×#386C2211yescharacteristic
148C47×#386C2211yescharacteristic
149C47×#386C2211yescharacteristic
150C47×#386C2211yescharacteristic
151C47×#386C2211yescharacteristic
152C47×#386C2211yescharacteristic
153C47×#385C2211yescharacteristic
154C47×#385C2211yescharacteristic
155C47×#385C2211yescharacteristic
156C47×#385C2211yescharacteristic
157C47×#385C2211yescharacteristic
158C47×#385C2211yescharacteristic
159C47×#385C2211yescharacteristic
160C47×#385C2211yescharacteristic
161C47×#385C2211yescharacteristic
162C47×#385C2211yescharacteristic
163C47×#385C2211yescharacteristic
164C47×#385C2211yescharacteristic
165C47×#385C2211yescharacteristic
166C47×#385C2211yescharacteristic
167C47×#385C2211yescharacteristic
168C47×#385C2211yescharacteristic
169C47×#383C2211yescharacteristic
170C47×#382C2211yescharacteristic
171C47×#381C2211yescharacteristic
172C47×#381C2211yescharacteristic
173C47×#381C2211yescharacteristic
174C47×#381C2211yescharacteristic
175C47×#381C2211yescharacteristic
176C47×#380C2211yescharacteristic
177C47×#380C2211yescharacteristic
178C47×#380C2211yescharacteristic
179C47×#380C2211yescharacteristic
180C4×C4⋊C4×C47C2211yescharacteristic
181C4×C4⋊C4×C47C2211yescharacteristic
182C4×C22⋊C4×C47C2211yescharacteristic
183C4×C22⋊C4×C47C2211yescharacteristic
184C4×C22⋊C4×C47C2211yescharacteristic
185C2×#95×C47C2211yescharacteristic
186C2×#95×C47C2211yescharacteristic
187C2×#95×C47C2211yescharacteristic
188C2×#95×C47C2211yescharacteristic
189C2×#41×C47—24no—
190C2×#41×C47—24no—
191C2×#41×C47—24no—
192C22×Q8×C47C2311yescharacteristic
193C22×Q8×C47C2311yescharacteristic
194C22×D4×C47C2311yescharacteristic
195C22×D4×C47C2311yescharacteristic
196C22×D4×C47C2311yescharacteristic
197C22×D4×C47C2311yescharacteristic
198C22×D4×C47C2311yescharacteristic
199C22×D4×C47C2311yescharacteristic
200C23×C4×C47C2311yescharacteristic
201C23×C4×C47C2311yescharacteristic
202C23×C4×C47C2311yescharacteristic
203C23×C4×C47C2311yescharacteristic
204C23×C4×C47C2311yescharacteristic
205C23×C4×C47C2311yescharacteristic
206C23×C4×C47C2311yescharacteristic
207C23×C4×C47C2311yescharacteristic
208C23×C4×C47C2311yescharacteristic
209C23×C4×C47C2311yescharacteristic
210C23×C4×C47C2311yescharacteristic
211C23×C4×C47C2311yescharacteristic
212C23×C4×C47C2311yescharacteristic
213C23×C4×C47C2311yescharacteristic
214#126×C47—24no—
215#126×C47—24no—
216#125×C47—24no—
217#125×C47—24no—
218#123×C47—24no—
219#123×C47—24no—
220#123×C47—24no—
221#123×C47—24no—
222#123×C47—24no—
223#123×C47—24no—
224C22⋊Q8×C47—24no—
225C22⋊Q8×C47—24no—
226C22⋊Q8×C47—24no—
227#121×C47—24no—
228#121×C47—24no—
229C4×Q8×C47—24no—
230C4×Q8×C47—24no—
231C4×D4×C47—24no—
232C4×D4×C47—24no—
233C4×D4×C47—24no—
234C4×D4×C47—24no—
235C4×D4×C47—24no—
236C4×D4×C47—24no—
237C4×D4×C47D418yescomplemented
238#117×C47—24no—
239#117×C47—24no—
240#117×C47—24no—
241C2×C4⋊C4×C47—24no—
242C2×C4⋊C4×C47—24no—
243C2×C4⋊C4×C47C2311yescharacteristic
244C2×C4⋊C4×C47C2311yescharacteristic
245C2×C4⋊C4×C47C2311yescharacteristic
246C2×C4⋊C4×C47C2311yescharacteristic
247C2×C4⋊C4×C47C2311yescharacteristic
248C2×C4⋊C4×C47C2311yescharacteristic
249C2×C4⋊C4×C47C2311yescharacteristic
250C2×C4⋊C4×C47C2311yescharacteristic
251C2×C4⋊C4×C47C2311yescharacteristic
252C2×C4⋊C4×C47C2311yescharacteristic
253C2×C4⋊C4×C47C2311yescharacteristic
254C2×C4⋊C4×C47C2311yescharacteristic
255C2×C4⋊C4×C47C2311yescharacteristic
256C2×C4⋊C4×C47C2311yescharacteristic
257C2×C4⋊C4×C47C2311yescharacteristic
258C2×C4⋊C4×C47C2311yescharacteristic
259C2×C4⋊C4×C47C2311yescharacteristic
260C2×C4⋊C4×C47C2311yescharacteristic
261C2×C4⋊C4×C47C2311yescharacteristic
262C2×C4⋊C4×C47C2311yescharacteristic
263C2×C4⋊C4×C47C2311yescharacteristic
264C2×C4⋊C4×C47C2311yescharacteristic
265C2×C4⋊C4×C47C2311yescharacteristic
266C2×C4⋊C4×C47C2311yescharacteristic
267C2×C4⋊C4×C47C2311yescharacteristic
268C2×C4⋊C4×C47C2311yescharacteristic
269C2×C4⋊C4×C47C2311yescharacteristic
270C2×C4⋊C4×C47C2311yescharacteristic
271C2×C4⋊C4×C47C2311yescharacteristic
272C2×C4⋊C4×C47C2311yescharacteristic
273C2×C4⋊C4×C47C2311yescharacteristic
274C2×C4⋊C4×C47C2311yescharacteristic
275C2×C4⋊C4×C47C2311yescharacteristic
276C2×C4⋊C4×C47C2311yescharacteristic
277C2×C4⋊C4×C47C2311yescharacteristic
278C2×C4⋊C4×C47C2311yescharacteristic
279C2×C4⋊C4×C47C2311yescharacteristic
280C2×C4⋊C4×C47C2311yescharacteristic
281C2×C22⋊C4×C47C2311yescharacteristic
282C2×C22⋊C4×C47C2311yescharacteristic
283C2×C22⋊C4×C47C2311yescharacteristic
284C2×C22⋊C4×C47C2311yescharacteristic
285C2×C22⋊C4×C47C2311yescharacteristic
286C2×C22⋊C4×C47C2311yescharacteristic
287C2×C22⋊C4×C47C2311yescharacteristic
288C2×C22⋊C4×C47C2311yescharacteristic
289C2×C22⋊C4×C47C2311yescharacteristic
290C2×C22⋊C4×C47C2311yescharacteristic
291C2×C22⋊C4×C47C2311yescharacteristic
292C2×C22⋊C4×C47C2311yescharacteristic
293C2×C22⋊C4×C47C2311yescharacteristic
294C2×C22⋊C4×C47C2311yescharacteristic
295C2×C22⋊C4×C47C2311yescharacteristic
296C2×C22⋊C4×C47C2311yescharacteristic
297C2×C22⋊C4×C47C2311yescharacteristic
298C2×C22⋊C4×C47C2311yescharacteristic
299C2×C22⋊C4×C47C2311yescharacteristic
300C2×C22⋊C4×C47C2311yescharacteristic
301C2×C22⋊C4×C47C2311yescharacteristic
302C2×C22⋊C4×C47C2311yescharacteristic
303C2×C22⋊C4×C47C2311yescharacteristic
304C2×C22⋊C4×C47C2311yescharacteristic
305C2×C22⋊C4×C47C2311yescharacteristic
306C2×C22⋊C4×C47C2311yescharacteristic
307C2×C22⋊C4×C47C2311yescharacteristic
308C2×C22⋊C4×C47C2311yescharacteristic
309C2×C22⋊C4×C47C2311yescharacteristic
310C2×C22⋊C4×C47C2311yescharacteristic
311C2×C22⋊C4×C47C2311yescharacteristic
312C2×C22⋊C4×C47C2311yescharacteristic
313C2×C22⋊C4×C47C2311yescharacteristic
314C2×C22⋊C4×C47C2311yescharacteristic
315C2×C42×C47—24no—
316C2×C42×C47—24no—
317C2×C42×C47—24no—
318C2×C42×C47C2311yescharacteristic
319C2×C42×C47C2311yescharacteristic
320C2×C42×C47C2311yescharacteristic
321C2×C42×C47C2311yescharacteristic
322C2×C42×C47C2311yescharacteristic
323C2×C42×C47C2311yescharacteristic
324C2×C42×C47C2311yescharacteristic
325C2×C42×C47C2311yescharacteristic
326C2×C42×C47C2311yescharacteristic
327C2×C42×C47C2311yescharacteristic
328C2×C42×C47C2311yescharacteristic
329C2×C42×C47C2311yescharacteristic
330C2×C42×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
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369#95×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376#95×C47C2311yescharacteristic
377#95×C47C2311yescharacteristic
378#95×C47C2311yescharacteristic
379C24×C47C2411yescharacteristic
380C24×C47C2411yescharacteristic
381C24×C47C2411yescharacteristic
382C24×C47C2411yescharacteristic
383#41×C47—232no—
384C2×Q8×C47—22no—
385C2×Q8×C47—22no—
386C2×Q8×C47—22no—
387C2×Q8×C47—22no—
388C2×Q8×C47—41no—
389C2×Q8×C47—41no—
390C2×D4×C47—22no—
391C2×D4×C47—22no—
392C2×D4×C47—22no—
393C2×D4×C47—22no—
394C2×D4×C47—22no—
395C2×D4×C47—22no—
396C2×D4×C47—22no—
397C2×D4×C47—22no—
398C2×D4×C47—22no—
399C2×D4×C47—22no—
400C2×D4×C47—22no—
401C2×D4×C47—22no—
402C2×D4×C47—41no—
403C2×D4×C47—41no—
404C2×D4×C47—41no—
405C2×D4×C47—41no—
406C2×D4×C47C2×D414yes—
407C2×D4×C47#4114yes—
408C22×C4×C47—22no—
409C22×C4×C47—22no—
410C22×C4×C47—22no—
411C22×C4×C47—22no—
412C22×C4×C47—22no—
413C22×C4×C47—22no—
414C22×C4×C47—22no—
415C22×C4×C47—22no—
416C22×C4×C47—22no—
417C22×C4×C47—22no—
418C22×C4×C47—22no—
419C22×C4×C47—22no—
420C22×C4×C47—22no—
421C22×C4×C47—22no—
422C22×C4×C47—22no—
423C22×C4×C47—22no—
424C22×C4×C47—22no—
425C22×C4×C47—22no—
426C22×C4×C47—22no—
427C22×C4×C47—22no—
428C22×C4×C47—22no—
429C22×C4×C47—22no—
430C22×C4×C47—41no—
431C22×C4×C47—41no—
432C22×C4×C47—41no—
433C22×C4×C47—41no—
434C22×C4×C47—41no—
435C22×C4×C47—41no—
436C22×C4×C47—41no—
437C22×C4×C47—41no—
438C22×C4×C47—41no—
439C22×C4×C47—41no—
440C22×C4×C47—41no—
441C22×C4×C47—41no—
442C22×C4×C47—41no—
443C22×C4×C47—41no—
444C22×C4×C47—41no—
445C22×C4×C47—41no—
446C22×C4×C47—41no—
447C22×C4×C47C2×D414yes—
448C22×C4×C47C2×D414yes—
449C22×C4×C47#4114yes—
450C22×C4×C47C2411yescharacteristic
451C22×C4×C47C2411yescharacteristic
452C22×C4×C47C2411yescharacteristic
453C22×C4×C47C2411yescharacteristic
454C22×C4×C47C2411yescharacteristic
455C22×C4×C47C2411yescharacteristic
456C22×C4×C47C2411yescharacteristic
457C22×C4×C47C2411yescharacteristic
458C22×C4×C47C2411yescharacteristic
459C22×C4×C47C2411yescharacteristic
460C22×C4×C47C2411yescharacteristic
461C22×C4×C47C2411yescharacteristic
462C22×C4×C47C2411yescharacteristic
463C22×C4×C47C2411yescharacteristic
464C22×C4×C47C2411yescharacteristic
465C22×C4×C47C2411yescharacteristic
466C22×C4×C47C2411yescharacteristic
467C22×C4×C47C2411yescharacteristic
468C22×C4×C47C2411yescharacteristic
469C22×C4×C47C2411yescharacteristic
470C22×C4×C47C2411yescharacteristic
471C22×C4×C47C2411yescharacteristic
472C22×C4×C47C2411yescharacteristic
473C22×C4×C47C2411yescharacteristic
474C22×C4×C47C2411yescharacteristic
475C22×C4×C47C2411yescharacteristic
476C22×C4×C47C2411yescharacteristic
477C4⋊C4×C47—22no—
478C4⋊C4×C47—22no—
479C4⋊C4×C47—22no—
480C4⋊C4×C47—22no—
481C4⋊C4×C47—22no—
482C4⋊C4×C47—22no—
483C4⋊C4×C47—22no—
484C4⋊C4×C47—22no—
485C4⋊C4×C47—22no—
486C4⋊C4×C47—22no—
487C4⋊C4×C47—22no—
488C4⋊C4×C47—22no—
489C4⋊C4×C47—22no—
490C4⋊C4×C47—22no—
491C4⋊C4×C47—22no—
492C4⋊C4×C47—22no—
493C4⋊C4×C47—22no—
494C4⋊C4×C47—22no—
495C4⋊C4×C47—22no—
496C4⋊C4×C47—22no—
497C4⋊C4×C47—22no—
498C4⋊C4×C47—22no—
499C4⋊C4×C47—22no—
500C4⋊C4×C47—22no—
501C4⋊C4×C47—22no—
502C4⋊C4×C47—22no—
503C4⋊C4×C47—22no—
504C4⋊C4×C47—22no—
505C4⋊C4×C47—41no—
506C4⋊C4×C47—41no—
507C4⋊C4×C47—41no—
508C4⋊C4×C47—41no—
509C4⋊C4×C47—41no—
510C4⋊C4×C47—41no—
511C4⋊C4×C47—41no—
512C4⋊C4×C47—41no—
513C4⋊C4×C47—41no—
514C4⋊C4×C47C2×D414yes—
515C22⋊C4×C47—22no—
516C22⋊C4×C47—22no—
517C22⋊C4×C47—22no—
518C22⋊C4×C47—22no—
519C22⋊C4×C47—22no—
520C22⋊C4×C47—22no—
521C22⋊C4×C47—22no—
522C22⋊C4×C47—22no—
523C22⋊C4×C47—22no—
524C22⋊C4×C47—22no—
525C22⋊C4×C47—22no—
526C22⋊C4×C47—22no—
527C22⋊C4×C47—22no—
528C22⋊C4×C47—22no—
529C22⋊C4×C47—22no—
530C22⋊C4×C47—22no—
531C22⋊C4×C47—22no—
532C22⋊C4×C47—22no—
533C22⋊C4×C47—22no—
534C22⋊C4×C47—22no—
535C22⋊C4×C47—22no—
536C22⋊C4×C47—41no—
537C22⋊C4×C47—41no—
538C22⋊C4×C47—41no—
539C22⋊C4×C47—41no—
540C22⋊C4×C47—41no—
541C22⋊C4×C47—41no—
542C22⋊C4×C47—41no—
543C22⋊C4×C47—41no—
544C22⋊C4×C47—41no—
545C22⋊C4×C47—41no—
546C22⋊C4×C47—41no—
547C22⋊C4×C47C2×D414yes—
548C22⋊C4×C47C2×D414yes—
549C42×C47—22no—
550C42×C47—22no—
551C42×C47—22no—
552C42×C47—22no—
553C42×C47—22no—
554C42×C47—22no—
555C42×C47—22no—
556C42×C47—22no—
557C42×C47—22no—
558C42×C47—22no—
559C42×C47—41no—
560C42×C47—41no—
561C42×C47C2×D414yes—
562C23×C47—21no—
563C23×C47—21no—
564C23×C47—21no—
565C23×C47—21no—
566C23×C47—21no—
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47—21no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47C22×D412yes—
586C23×C47C22×D412yes—
587C23×C47C2×#4112yes—
588C23×C47C2×#4112yes—
589C23×C47C2×#4112yes—
590C23×C47C2511yescharacteristic
591Q8×C47—28no—
592Q8×C47—82no—
593D4×C47—28no—
594D4×C47—28no—
595D4×C47—28no—
596D4×C47—44no—
597D4×C47—82no—
598D4×C47—82no—
599C2×C4×C47—28no—
600C2×C4×C47—28no—
601C2×C4×C47—28no—
602C2×C4×C47—21no—
603C2×C4×C47—21no—
604C2×C4×C47—21no—
605C2×C4×C47—21no—
606C2×C4×C47—21no—
607C2×C4×C47—21no—
608C2×C4×C47—21no—
609C2×C4×C47—21no—
610C2×C4×C47—21no—
611C2×C4×C47—21no—
612C2×C4×C47—21no—
613C2×C4×C47—21no—
614C2×C4×C47—21no—
615C2×C4×C47—21no—
616C2×C4×C47—21no—
617C2×C4×C47—21no—
618C2×C4×C47—21no—
619C2×C4×C47—21no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—44no—
675C2×C4×C47—44no—
676C2×C4×C47—44no—
677C2×C4×C47—44no—
678C2×C4×C47—44no—
679C2×C4×C47—44no—
680C2×C4×C47—44no—
681C2×C4×C47—44no—
682C2×C4×C47—82no—
683C2×C4×C47—82no—
684C2×C4×C47—82no—
685C2×C4×C47C22×D412yes—
686C2×C4×C47C22×D412yes—
687C2×C4×C47C22×D412yes—
688C2×C4×C47C22×D412yes—
689C2×C4×C47C22×D412yes—
690C2×C4×C47C2×#4112yes—
691C2×C4×C47C2×#4112yes—
692C2×C4×C47C2×#4112yes—
693C2×C4×C472−1+412yes—
694#35096C4711yesmaximal, characteristic, direct product factor, Sylow
695C22×C47—22no—
696C22×C47—22no—
697C22×C47—22no—
698C22×C47—22no—
699C22×C47—22no—
700C22×C47—22no—
701C22×C47—22no—
702C22×C47—22no—
703C22×C47—22no—
704C22×C47—22no—
705C22×C47—22no—
706C22×C47—22no—
707C22×C47—41no—
708C22×C47—41no—
709C22×C47—41no—
710C22×C47—41no—
711C22×C47—41no—
712C22×C47—41no—
713C22×C47—41no—
714C22×C47—41no—
715C22×C47—41no—
716C22×C47—41no—
717C22×C47—41no—
718C22×C47—41no—
719C22×C47—41no—
720C22×C47—41no—
721C22×C47—41no—
722C22×C47#52514yes—
723C22×C47C23×D411yescharacteristic
724C22×C47C22×#4111yescharacteristic
725C22×C47C22×#4111yescharacteristic
726C22×C47C2×2−1+411yescharacteristic
727C22×C47#58511yescharacteristic
728C22×C47#58511yescharacteristic
729C22×C47#58511yescharacteristic
730C4×C47—22no—
731C4×C47—22no—
732C4×C47—22no—
733C4×C47—22no—
734C4×C47—22no—
735C4×C47—22no—
736C4×C47—22no—
737C4×C47—22no—
738C4×C47—22no—
739C4×C47—41no—
740C4×C47—41no—
741C4×C47—41no—
742C4×C47—41no—
743C4×C47—41no—
744C4×C47—41no—
745C4×C47—41no—
746C4×C47—41no—
747C4×C47—41no—
748C4×C47—41no—
749C4×C47—41no—
750C4×C47—41no—
751C4×C47—41no—
752C4×C47—41no—
753C4×C47—41no—
754C4×C47—41no—
755C4×C47—41no—
756C4×C47—41no—
757C2×#539C2×C4711yescharacteristic, complemented
758C2×C4×#41C2×C4711yescharacteristic, complemented
759#2855C2×C4711yescharacteristic, complemented
760#2853C2×C4711yescharacteristic, complemented
761#2852C2×C4711yescharacteristic, complemented
762#2851C2×C4711yescharacteristic, complemented
763#2638C2×C4711yescharacteristic, complemented
764#2637C2×C4711yescharacteristic, complemented
765#2634C2×C4711yescharacteristic, complemented
766#2630C2×C4711yescharacteristic, complemented
767#2478C2×C4711yescharacteristic, complemented
768#2477C2×C4711yescharacteristic, complemented
769#2475C2×C4711yescharacteristic, complemented
770#2470C2×C4711yescharacteristic, complemented
771#2468C2×C4711yescharacteristic, complemented
772#2465C2×C4711yescharacteristic, complemented
773#2462C2×C4711yescharacteristic, complemented
774#2457C2×C4711yescharacteristic, complemented
775#2450C2×C4711yescharacteristic, complemented
776#2444C2×C4711yescharacteristic, complemented
777#2438C2×C4711yescharacteristic, complemented
778#2430C2×C4711yescharacteristic
779#2425C2×C4711yescharacteristic, complemented
780#2419C2×C4711yescharacteristic, complemented
781#2413C2×C4711yescharacteristic, complemented
782#2406C2×C4711yescharacteristic, complemented
783#2325C2×C4711yescharacteristic, complemented
784#2322C2×C4711yescharacteristic, complemented
785#2318C2×C4711yescharacteristic, complemented
786C4×#123C2×C4711yescharacteristic, complemented
787C2×#387C2×C4711yescharacteristic, complemented
788C2×C47—24no—
789C2×C47—42no—
790C2×C47—42no—
791C2×C47—81no—
792C2×C47C2×#52511yescharacteristic
793C2×C47#345511yescharacteristic
794C2×C47#346111yescharacteristic
795C2×C47#348511yescharacteristic
796C2×C47#348911yescharacteristic
797C2×C47#351511yescharacteristic
798C2×C47#352111yescharacteristic
799C22×#41C22×C4711yescharacteristic
800#539—28no—
801C2×#126C22×C4711yescharacteristic
802C2×#126C22×C4711yescharacteristic
803C2×#125C22×C4711yescharacteristic
804C2×#125C22×C4711yescharacteristic
805C2×#123C22×C4711yescharacteristic
806C2×#123C22×C4711yescharacteristic
807C2×#123C22×C4711yescharacteristic
808C2×#123C22×C4711yescharacteristic
809C2×#123C22×C4711yescharacteristic
810C2×#123C22×C4711yescharacteristic
811C2×C22⋊Q8C22×C4711yescharacteristic
812C2×C22⋊Q8C22×C4711yescharacteristic
813C2×C22⋊Q8C22×C4711yescharacteristic
814C2×#121C22×C4711yescharacteristic
815C2×#121C22×C4711yescharacteristic
816C4×#41—28no—
817C2×C4×Q8C22×C4711yescharacteristic
818C2×C4×Q8C22×C4711yescharacteristic
819C2×C4×D4C22×C4711yescharacteristic
820C2×C4×D4C22×C4711yescharacteristic
821C2×C4×D4C22×C4711yescharacteristic
822C2×C4×D4C22×C4711yescharacteristic
823C2×C4×D4C22×C4711yescharacteristic
824C2×C4×D4C22×C4711yescharacteristic
825C2×C4×D4C22×C4711yescharacteristic
826C2×#117C22×C4711yescharacteristic
827C2×#117C22×C4711yescharacteristic
828C2×#117C22×C4711yescharacteristic
829C22×C4⋊C4C22×C4711yescharacteristic
830C22×C4⋊C4C22×C4711yescharacteristic
831C22×C42C22×C4711yescharacteristic
832C22×C42C22×C4711yescharacteristic
833C22×C42C22×C4711yescharacteristic
834#400C22×C4711yescharacteristic
835#400C22×C4711yescharacteristic
836#400C22×C4711yescharacteristic
837#400C22×C4711yescharacteristic
838#398C22×C4711yescharacteristic
839#398C22×C4711yescharacteristic
840#398C22×C4711yescharacteristic
841#398C22×C4711yescharacteristic
842#398C22×C4711yescharacteristic
843#398C22×C4711yescharacteristic
844#398C22×C4711yescharacteristic
845#397C22×C4711yescharacteristic
846#397C22×C4711yescharacteristic
847#397C22×C4711yescharacteristic
848#397C22×C4711yescharacteristic
849#397C22×C4711yescharacteristic
850#396C22×C4711yescharacteristic
851#396C22×C4711yescharacteristic
852#396C22×C4711yescharacteristic
853#396C22×C4711yescharacteristic
854#395C22×C4711yescharacteristic
855#395C22×C4711yescharacteristic
856#395C22×C4711yescharacteristic
857#395C22×C4711yescharacteristic
858#394C22×C4711yescharacteristic
859#394C22×C4711yescharacteristic
860#394C22×C4711yescharacteristic
861#394C22×C4711yescharacteristic
862#394C22×C4711yescharacteristic
863#393C22×C4711yescharacteristic
864#393C22×C4711yescharacteristic
865#392C22×C4711yescharacteristic
866#391C22×C4711yescharacteristic
867#391C22×C4711yescharacteristic
868#389C22×C4711yescharacteristic
869#389C22×C4711yescharacteristic
870#389C22×C4711yescharacteristic
871#389C22×C4711yescharacteristic
872#389C22×C4711yescharacteristic
873#389C22×C4711yescharacteristic
874#388C22×C4711yescharacteristic
875#388C22×C4711yescharacteristic
876#388C22×C4711yescharacteristic
877#388C22×C4711yescharacteristic
878#388C22×C4711yescharacteristic
879#388C22×C4711yescharacteristic
880#388C22×C4711yescharacteristic
881#388C22×C4711yescharacteristic
882#388C22×C4711yescharacteristic
883#388C22×C4711yescharacteristic
884#388C22×C4711yescharacteristic
885#388C22×C4711yescharacteristic
886#387C22×C4711yescharacteristic
887#387C22×C4711yescharacteristic
888#387C22×C4711yescharacteristic
889#387C22×C4711yescharacteristic
890#387C22×C4711yescharacteristic
891#387C22×C4711yescharacteristic
892#387C22×C4711yescharacteristic
893#387C22×C4711yescharacteristic
894#387C22×C4711yescharacteristic
895#387C22×C4711yescharacteristic
896#387C22×C4711yescharacteristic
897#387C22×C4711yescharacteristic
898#387C22×C4711yescharacteristic
899#387C22×C4711yescharacteristic
900#387C22×C4711yescharacteristic
901#387C22×C4711yescharacteristic
902#387C22×C4711yescharacteristic
903#387C22×C4711yescharacteristic
904#387C22×C4711yescharacteristic
905#387C22×C4711yescharacteristic
906#387C22×C4711yescharacteristic
907#387C22×C4711yescharacteristic
908#386C22×C4711yescharacteristic
909#386C22×C4711yescharacteristic
910#386C22×C4711yescharacteristic
911#386C22×C4711yescharacteristic
912#386C22×C4711yescharacteristic
913#386C22×C4711yescharacteristic
914#386C22×C4711yescharacteristic
915#386C22×C4711yescharacteristic
916#386C22×C4711yescharacteristic
917#386C22×C4711yescharacteristic
918#386C22×C4711yescharacteristic
919#386C22×C4711yescharacteristic
920#385C22×C4711yescharacteristic
921#385C22×C4711yescharacteristic
922#385C22×C4711yescharacteristic
923#385C22×C4711yescharacteristic
924#385C22×C4711yescharacteristic
925#385C22×C4711yescharacteristic
926#385C22×C4711yescharacteristic
927#385C22×C4711yescharacteristic
928#385C22×C4711yescharacteristic
929#385C22×C4711yescharacteristic
930#385C22×C4711yescharacteristic
931#385C22×C4711yescharacteristic
932#385C22×C4711yescharacteristic
933#385C22×C4711yescharacteristic
934#385C22×C4711yescharacteristic
935#385C22×C4711yescharacteristic
936#383C22×C4711yescharacteristic
937#382C22×C4711yescharacteristic
938#381C22×C4711yescharacteristic
939#381C22×C4711yescharacteristic
940#381C22×C4711yescharacteristic
941#381C22×C4711yescharacteristic
942#381C22×C4711yescharacteristic
943#380C22×C4711yescharacteristic
944#380C22×C4711yescharacteristic
945#380C22×C4711yescharacteristic
946#380C22×C4711yescharacteristic
947C4×C4⋊C4C22×C4711yescharacteristic
948C4×C4⋊C4C22×C4711yescharacteristic
949C4×C22⋊C4C22×C4711yescharacteristic
950C4×C22⋊C4C22×C4711yescharacteristic
951C4×C22⋊C4C22×C4711yescharacteristic
952C2×#95C22×C4711yescharacteristic
953C2×#95C22×C4711yescharacteristic
954C2×#95C22×C4711yescharacteristic
955C2×#95C22×C4711yescharacteristic
956C47#3509611yescharacteristic, direct product factor, Sylow
957C2×#41—24no—
958C2×#41—24no—
959C2×#41—24no—
960C22×Q8C23×C4711yescharacteristic
961C22×Q8C23×C4711yescharacteristic
962C22×D4C23×C4711yescharacteristic
963C22×D4C23×C4711yescharacteristic
964C22×D4C23×C4711yescharacteristic
965C22×D4C23×C4711yescharacteristic
966C22×D4C23×C4711yescharacteristic
967C22×D4C23×C4711yescharacteristic
968C23×C4C23×C4711yescharacteristic
969C23×C4C23×C4711yescharacteristic
970C23×C4C23×C4711yescharacteristic
971C23×C4C23×C4711yescharacteristic
972C23×C4C23×C4711yescharacteristic
973C23×C4C23×C4711yescharacteristic
974C23×C4C23×C4711yescharacteristic
975C23×C4C23×C4711yescharacteristic
976C23×C4C23×C4711yescharacteristic
977C23×C4C23×C4711yescharacteristic
978C23×C4C23×C4711yescharacteristic
979C23×C4C23×C4711yescharacteristic
980C23×C4C23×C4711yescharacteristic
981C23×C4C23×C4711yescharacteristic
982#126—24no—
983#126—24no—
984#125—24no—
985#125—24no—
986#123—24no—
987#123—24no—
988#123—24no—
989#123—24no—
990#123—24no—
991#123—24no—
992C22⋊Q8—24no—
993C22⋊Q8—24no—
994C22⋊Q8—24no—
995#121—24no—
996#121—24no—
997C4×Q8—24no—
998C4×Q8—24no—
999C4×D4—24no—
1000C4×D4—24no—
1001C4×D4—24no—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—24no—
1005C4×D4D4×C4718yescomplemented
1006#117—24no—
1007#117—24no—
1008#117—24no—
1009C2×C4⋊C4—24no—
1010C2×C4⋊C4—24no—
1011C2×C4⋊C4C23×C4711yescharacteristic
1012C2×C4⋊C4C23×C4711yescharacteristic
1013C2×C4⋊C4C23×C4711yescharacteristic
1014C2×C4⋊C4C23×C4711yescharacteristic
1015C2×C4⋊C4C23×C4711yescharacteristic
1016C2×C4⋊C4C23×C4711yescharacteristic
1017C2×C4⋊C4C23×C4711yescharacteristic
1018C2×C4⋊C4C23×C4711yescharacteristic
1019C2×C4⋊C4C23×C4711yescharacteristic
1020C2×C4⋊C4C23×C4711yescharacteristic
1021C2×C4⋊C4C23×C4711yescharacteristic
1022C2×C4⋊C4C23×C4711yescharacteristic
1023C2×C4⋊C4C23×C4711yescharacteristic
1024C2×C4⋊C4C23×C4711yescharacteristic
1025C2×C4⋊C4C23×C4711yescharacteristic
1026C2×C4⋊C4C23×C4711yescharacteristic
1027C2×C4⋊C4C23×C4711yescharacteristic
1028C2×C4⋊C4C23×C4711yescharacteristic
1029C2×C4⋊C4C23×C4711yescharacteristic
1030C2×C4⋊C4C23×C4711yescharacteristic
1031C2×C4⋊C4C23×C4711yescharacteristic
1032C2×C4⋊C4C23×C4711yescharacteristic
1033C2×C4⋊C4C23×C4711yescharacteristic
1034C2×C4⋊C4C23×C4711yescharacteristic
1035C2×C4⋊C4C23×C4711yescharacteristic
1036C2×C4⋊C4C23×C4711yescharacteristic
1037C2×C4⋊C4C23×C4711yescharacteristic
1038C2×C4⋊C4C23×C4711yescharacteristic
1039C2×C4⋊C4C23×C4711yescharacteristic
1040C2×C4⋊C4C23×C4711yescharacteristic
1041C2×C4⋊C4C23×C4711yescharacteristic
1042C2×C4⋊C4C23×C4711yescharacteristic
1043C2×C4⋊C4C23×C4711yescharacteristic
1044C2×C4⋊C4C23×C4711yescharacteristic
1045C2×C4⋊C4C23×C4711yescharacteristic
1046C2×C4⋊C4C23×C4711yescharacteristic
1047C2×C4⋊C4C23×C4711yescharacteristic
1048C2×C4⋊C4C23×C4711yescharacteristic
1049C2×C22⋊C4C23×C4711yescharacteristic
1050C2×C22⋊C4C23×C4711yescharacteristic
1051C2×C22⋊C4C23×C4711yescharacteristic
1052C2×C22⋊C4C23×C4711yescharacteristic
1053C2×C22⋊C4C23×C4711yescharacteristic
1054C2×C22⋊C4C23×C4711yescharacteristic
1055C2×C22⋊C4C23×C4711yescharacteristic
1056C2×C22⋊C4C23×C4711yescharacteristic
1057C2×C22⋊C4C23×C4711yescharacteristic
1058C2×C22⋊C4C23×C4711yescharacteristic
1059C2×C22⋊C4C23×C4711yescharacteristic
1060C2×C22⋊C4C23×C4711yescharacteristic
1061C2×C22⋊C4C23×C4711yescharacteristic
1062C2×C22⋊C4C23×C4711yescharacteristic
1063C2×C22⋊C4C23×C4711yescharacteristic
1064C2×C22⋊C4C23×C4711yescharacteristic
1065C2×C22⋊C4C23×C4711yescharacteristic
1066C2×C22⋊C4C23×C4711yescharacteristic
1067C2×C22⋊C4C23×C4711yescharacteristic
1068C2×C22⋊C4C23×C4711yescharacteristic
1069C2×C22⋊C4C23×C4711yescharacteristic
1070C2×C22⋊C4C23×C4711yescharacteristic
1071C2×C22⋊C4C23×C4711yescharacteristic
1072C2×C22⋊C4C23×C4711yescharacteristic
1073C2×C22⋊C4C23×C4711yescharacteristic
1074C2×C22⋊C4C23×C4711yescharacteristic
1075C2×C22⋊C4C23×C4711yescharacteristic
1076C2×C22⋊C4C23×C4711yescharacteristic
1077C2×C22⋊C4C23×C4711yescharacteristic
1078C2×C22⋊C4C23×C4711yescharacteristic
1079C2×C22⋊C4C23×C4711yescharacteristic
1080C2×C22⋊C4C23×C4711yescharacteristic
1081C2×C22⋊C4C23×C4711yescharacteristic
1082C2×C22⋊C4C23×C4711yescharacteristic
1083C2×C42—24no—
1084C2×C42—24no—
1085C2×C42—24no—
1086C2×C42C23×C4711yescharacteristic
1087C2×C42C23×C4711yescharacteristic
1088C2×C42C23×C4711yescharacteristic
1089C2×C42C23×C4711yescharacteristic
1090C2×C42C23×C4711yescharacteristic
1091C2×C42C23×C4711yescharacteristic
1092C2×C42C23×C4711yescharacteristic
1093C2×C42C23×C4711yescharacteristic
1094C2×C42C23×C4711yescharacteristic
1095C2×C42C23×C4711yescharacteristic
1096C2×C42C23×C4711yescharacteristic
1097C2×C42C23×C4711yescharacteristic
1098C2×C42C23×C4711yescharacteristic
1099#95C23×C4711yescharacteristic
1100#95C23×C4711yescharacteristic
1101#95C23×C4711yescharacteristic
1102#95C23×C4711yescharacteristic
1103#95C23×C4711yescharacteristic
1104#95C23×C4711yescharacteristic
1105#95C23×C4711yescharacteristic
1106#95C23×C4711yescharacteristic
1107#95C23×C4711yescharacteristic
1108#95C23×C4711yescharacteristic
1109#95C23×C4711yescharacteristic
1110#95C23×C4711yescharacteristic
1111#95C23×C4711yescharacteristic
1112#95C23×C4711yescharacteristic
1113#95C23×C4711yescharacteristic
1114#95C23×C4711yescharacteristic
1115#95C23×C4711yescharacteristic
1116#95C23×C4711yescharacteristic
1117#95C23×C4711yescharacteristic
1118#95C23×C4711yescharacteristic
1119#95C23×C4711yescharacteristic
1120#95C23×C4711yescharacteristic
1121#95C23×C4711yescharacteristic
1122#95C23×C4711yescharacteristic
1123#95C23×C4711yescharacteristic
1124#95C23×C4711yescharacteristic
1125#95C23×C4711yescharacteristic
1126#95C23×C4711yescharacteristic
1127#95C23×C4711yescharacteristic
1128#95C23×C4711yescharacteristic
1129#95C23×C4711yescharacteristic
1130#95C23×C4711yescharacteristic
1131#95C23×C4711yescharacteristic
1132#95C23×C4711yescharacteristic
1133#95C23×C4711yescharacteristic
1134#95C23×C4711yescharacteristic
1135#95C23×C4711yescharacteristic
1136#95C23×C4711yescharacteristic
1137#95C23×C4711yescharacteristic
1138#95C23×C4711yescharacteristic
1139#95C23×C4711yescharacteristic
1140#95C23×C4711yescharacteristic
1141#95C23×C4711yescharacteristic
1142#95C23×C4711yescharacteristic
1143#95C23×C4711yescharacteristic
1144#95C23×C4711yescharacteristic
1145#95C23×C4711yescharacteristic
1146#95C23×C4711yescharacteristic
1147C24C24×C4711yescharacteristic
1148C24C24×C4711yescharacteristic
1149C24C24×C4711yescharacteristic
1150C24C24×C4711yescharacteristic
1151#41—232no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—41no—
1157C2×Q8—41no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4C2×D4×C4714yes—
1175C2×D4#41×C4714yes—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4C2×D4×C4714yes—
1216C22×C4C2×D4×C4714yes—
1217C22×C4#41×C4714yes—
1218C22×C4C24×C4711yescharacteristic
1219C22×C4C24×C4711yescharacteristic
1220C22×C4C24×C4711yescharacteristic
1221C22×C4C24×C4711yescharacteristic
1222C22×C4C24×C4711yescharacteristic
1223C22×C4C24×C4711yescharacteristic
1224C22×C4C24×C4711yescharacteristic
1225C22×C4C24×C4711yescharacteristic
1226C22×C4C24×C4711yescharacteristic
1227C22×C4C24×C4711yescharacteristic
1228C22×C4C24×C4711yescharacteristic
1229C22×C4C24×C4711yescharacteristic
1230C22×C4C24×C4711yescharacteristic
1231C22×C4C24×C4711yescharacteristic
1232C22×C4C24×C4711yescharacteristic
1233C22×C4C24×C4711yescharacteristic
1234C22×C4C24×C4711yescharacteristic
1235C22×C4C24×C4711yescharacteristic
1236C22×C4C24×C4711yescharacteristic
1237C22×C4C24×C4711yescharacteristic
1238C22×C4C24×C4711yescharacteristic
1239C22×C4C24×C4711yescharacteristic
1240C22×C4C24×C4711yescharacteristic
1241C22×C4C24×C4711yescharacteristic
1242C22×C4C24×C4711yescharacteristic
1243C22×C4C24×C4711yescharacteristic
1244C22×C4C24×C4711yescharacteristic
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4C2×D4×C4714yes—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4C2×D4×C4714yes—
1316C22⋊C4C2×D4×C4714yes—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—22no—
1321C42—22no—
1322C42—22no—
1323C42—22no—
1324C42—22no—
1325C42—22no—
1326C42—22no—
1327C42—41no—
1328C42—41no—
1329C42C2×D4×C4714yes—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23C22×D4×C4712yes—
1354C23C22×D4×C4712yes—
1355C23C2×#41×C4712yes—
1356C23C2×#41×C4712yes—
1357C23C2×#41×C4712yes—
1358C23C25×C4711yescharacteristic
1359Q8—28no—
1360Q8—82no—
1361D4—28no—
1362D4—28no—
1363D4—28no—
1364D4—44no—
1365D4—82no—
1366D4—82no—
1367C2×C4—28no—
1368C2×C4—28no—
1369C2×C4—28no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—44no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—82no—
1451C2×C4—82no—
1452C2×C4—82no—
1453C2×C4C22×D4×C4712yes—
1454C2×C4C22×D4×C4712yes—
1455C2×C4C22×D4×C4712yes—
1456C2×C4C22×D4×C4712yes—
1457C2×C4C22×D4×C4712yes—
1458C2×C4C2×#41×C4712yes—
1459C2×C4C2×#41×C4712yes—
1460C2×C4C2×#41×C4712yes—
1461C2×C42−1+4×C4712yes—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—22no—
1473C22—22no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22C47×#52514yes—
1490C22C23×D4×C4711yescharacteristic
1491C22C22×#41×C4711yescharacteristic
1492C22C22×#41×C4711yescharacteristic
1493C22C2×2−1+4×C4711yescharacteristic
1494C22C47×#58511yescharacteristic
1495C22C47×#58511yescharacteristic
1496C22C47×#58511yescharacteristic
1497C4—22no—
1498C4—22no—
1499C4—22no—
1500C4—22no—
1501C4—22no—
1502C4—22no—
1503C4—22no—
1504C4—22no—
1505C4—22no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C2—24no—
1525C2—42no—
1526C2—42no—
1527C2—81no—
1528C2C2×C47×#52511yescharacteristic
1529C2C47×#345511yescharacteristic
1530C2C47×#346111yescharacteristic
1531C2C47×#348511yescharacteristic
1532C2C47×#348911yescharacteristic
1533C2C47×#351511yescharacteristic
1534C2C47×#352111yescharacteristic
subgroupG/H
center, socleC23×C47C25
commutator, Frattini, cosocleC23C25×C47
prime radicalC47×#2430C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C47×#539C2semidirect
2. C2×C4×#41×C47C2semidirect
3. C47×#2855C2semidirect
4. C47×#2853C2semidirect
5. C47×#2852C2semidirect
6. C47×#2851C2semidirect
7. C47×#2638C2semidirect
8. C47×#2637C2semidirect
9. C47×#2634C2semidirect
10. C47×#2630C2semidirect
11. C47×#2478C2semidirect
12. C47×#2477C2semidirect
13. C47×#2475C2semidirect
14. C47×#2470C2semidirect
15. C47×#2468C2semidirect
16. C47×#2465C2semidirect
17. C47×#2462C2semidirect
18. C47×#2457C2semidirect
19. C47×#2450C2semidirect
20. C47×#2444C2semidirect
21. C47×#2438C2semidirect
23. C47×#2425C2semidirect
24. C47×#2419C2semidirect
25. C47×#2413C2semidirect
26. C47×#2406C2semidirect
27. C47×#2325C2semidirect
28. C47×#2322C2semidirect
29. C47×#2318C2semidirect
30. C4×#123×C47C2semidirect
31. C2×C47×#387C2semidirect
237. C4×D4×C47D4semidirect
694. #35096C47direct (N × H)
757. C2×#539C2×C47semidirect
758. C2×C4×#41C2×C47semidirect
759. #2855C2×C47semidirect
760. #2853C2×C47semidirect
761. #2852C2×C47semidirect
762. #2851C2×C47semidirect
763. #2638C2×C47semidirect
764. #2637C2×C47semidirect
765. #2634C2×C47semidirect
766. #2630C2×C47semidirect
767. #2478C2×C47semidirect
768. #2477C2×C47semidirect
769. #2475C2×C47semidirect
770. #2470C2×C47semidirect
771. #2468C2×C47semidirect
772. #2465C2×C47semidirect
773. #2462C2×C47semidirect
774. #2457C2×C47semidirect
775. #2450C2×C47semidirect
776. #2444C2×C47semidirect
777. #2438C2×C47semidirect
779. #2425C2×C47semidirect
780. #2419C2×C47semidirect
781. #2413C2×C47semidirect
782. #2406C2×C47semidirect
783. #2325C2×C47semidirect
784. #2322C2×C47semidirect
785. #2318C2×C47semidirect
786. C4×#123C2×C47semidirect
787. C2×#387C2×C47semidirect
956. C47#35096direct (N × H)
1005. C4×D4D4×C47semidirect

Maximal subgroups

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

subgroupindex
C2×C47×#5392
C2×C4×#41×C472
C47×#28552
C47×#28532
C47×#28522
C47×#28512
C47×#26382
C47×#26372
C47×#26342
C47×#26302
C47×#24782
C47×#24772
C47×#24752
C47×#24702
C47×#24682
C47×#24652
C47×#24622
C47×#24572
C47×#24502
C47×#24442
C47×#24382
C47×#24302
C47×#24252
C47×#24192
C47×#24132
C47×#24062
C47×#23252
C47×#23222
C47×#23182
C4×#123×C472
C2×C47×#3872
#3509647