Finite Group Databasebeta

← C47×#36888 #26076586

Subgroups — C47×#36888 #26076586

Order 12032.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1534 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#2849C211yesmaximal, characteristic, complemented
2C47×#2848C211yesmaximal, characteristic, complemented
3C47×#2796C211yesmaximal, characteristic, complemented
4C47×#2790C211yesmaximal, characteristic, complemented
5C47×#2779C211yesmaximal, characteristic, complemented
6C47×#2753C211yesmaximal, characteristic, complemented
7C47×#2748C211yesmaximal, characteristic, complemented
8C47×#2740C211yesmaximal, characteristic, complemented
9C47×#2735C211yesmaximal, characteristic, complemented
10C47×#2730C211yesmaximal, characteristic, complemented
11C47×#2720C211yesmaximal, characteristic, complemented
12C47×#2707C211yesmaximal, characteristic, complemented
13C47×#2698C211yesmaximal, characteristic, complemented
14C47×#2695C211yesmaximal, characteristic, complemented
15C47×#2685C211yesmaximal, characteristic, complemented
16C47×#2685C211yesmaximal, characteristic, complemented
17C47×#2678C211yesmaximal, characteristic
18C47×#2672C211yesmaximal, characteristic, complemented
19C47×#2633C211yesmaximal, characteristic, complemented
20C47×#2630C211yesmaximal, characteristic, complemented
21C47×#2578C211yesmaximal, characteristic, complemented
22C47×#2573C211yesmaximal, characteristic, complemented
23C47×#2558C211yesmaximal, characteristic, complemented
24C47×#2556C211yesmaximal, characteristic, complemented
25C47×#2468C211yesmaximal, characteristic, complemented
26C47×#2461C211yesmaximal, characteristic, complemented
27C47×#2454C211yesmaximal, characteristic, complemented
28C47×#2422C211yesmaximal, characteristic, complemented
29C47×#2335C211yesmaximal, characteristic, complemented
30C47×#2334C211yesmaximal, characteristic, complemented
31C4×#120×C47C211yesmaximal, characteristic, complemented
32C24×C4×C47C2211yescharacteristic
33C2×#126×C47C2211yescharacteristic
34C2×#126×C47C2211yescharacteristic
35C2×#125×C47C2211yescharacteristic, complemented
36C2×#125×C47C2211yescharacteristic, complemented
37C2×#124×C47C2211yescharacteristic, complemented
38C2×#123×C47C2211yescharacteristic
39C2×#123×C47C2211yescharacteristic
40C2×#123×C47C2211yescharacteristic
41C2×#123×C47C2211yescharacteristic, complemented
42C2×C22⋊Q8×C47C2211yescharacteristic
43C2×C22⋊Q8×C47C2211yescharacteristic
44C2×C22⋊Q8×C47C2211yescharacteristic
45C2×#121×C47C2211yescharacteristic
46C2×#120×C47C2211yescharacteristic
47C2×#120×C47C2211yescharacteristic
48C2×C4×D4×C47C2211yescharacteristic
49C2×C4×D4×C47C2211yescharacteristic
50C2×C4×D4×C47C2211yescharacteristic
51C47×#400C2211yescharacteristic, complemented
52C47×#400C2211yescharacteristic, complemented
53C47×#400C2211yescharacteristic, complemented
54C47×#400C2211yescharacteristic, complemented
55C47×#399C2211yescharacteristic
56C47×#399C2211yescharacteristic
57C47×#399C2211yescharacteristic
58C47×#399C2211yescharacteristic, complemented
59C47×#399C2211yescharacteristic, complemented
60C47×#398C2211yescharacteristic, complemented
61C47×#398C2211yescharacteristic, complemented
62C47×#398C2211yescharacteristic, complemented
63C47×#398C2211yescharacteristic, complemented
64C47×#398C2211yescharacteristic, complemented
65C47×#398C2211yescharacteristic, complemented
66C47×#397C2211yescharacteristic
67C47×#397C2211yescharacteristic
68C47×#397C2211yescharacteristic
69C47×#397C2211yescharacteristic
70C47×#397C2211yescharacteristic, complemented
71C47×#397C2211yescharacteristic, complemented
72C47×#397C2211yescharacteristic, complemented
73C47×#397C2211yescharacteristic, complemented
74C47×#396C2211yescharacteristic
75C47×#396C2211yescharacteristic
76C47×#396C2211yescharacteristic
77C47×#396C2211yescharacteristic
78C47×#396C2211yescharacteristic
79C47×#396C2211yescharacteristic, complemented
80C47×#396C2211yescharacteristic, complemented
81C47×#396C2211yescharacteristic, complemented
82C47×#396C2211yescharacteristic, complemented
83C47×#395C2211yescharacteristic, complemented
84C47×#395C2211yescharacteristic, complemented
85C47×#394C2211yescharacteristic
86C47×#394C2211yescharacteristic
87C47×#394C2211yescharacteristic
88C47×#394C2211yescharacteristic
89C47×#394C2211yescharacteristic
90C47×#394C2211yescharacteristic
91C47×#394C2211yescharacteristic
92C47×#394C2211yescharacteristic
93C47×#394C2211yescharacteristic
94C47×#394C2211yescharacteristic
95C47×#394C2211yescharacteristic, complemented
96C47×#394C2211yescharacteristic, complemented
97C47×#392C2211yescharacteristic
98C47×#392C2211yescharacteristic
99C47×#391C2211yescharacteristic, complemented
100C47×#390C2211yescharacteristic
101C47×#390C2211yescharacteristic
102C47×#390C2211yescharacteristic
103C47×#390C2211yescharacteristic
104C47×#390C2211yescharacteristic
105C47×#390C2211yescharacteristic
106C47×#389C2211yescharacteristic, complemented
107C47×#389C2211yescharacteristic, complemented
108C47×#389C2211yescharacteristic, complemented
109C47×#389C2211yescharacteristic, complemented
110C47×#389C2211yescharacteristic, complemented
111C47×#389C2211yescharacteristic, complemented
112C47×#388C2211yescharacteristic
113C47×#388C2211yescharacteristic
114C47×#388C2211yescharacteristic
115C47×#388C2211yescharacteristic
116C47×#388C2211yescharacteristic
117C47×#388C2211yescharacteristic
118C47×#388C2211yescharacteristic
119C47×#388C2211yescharacteristic
120C47×#388C2211yescharacteristic
121C47×#388C2211yescharacteristic
122C47×#388C2211yescharacteristic
123C47×#388C2211yescharacteristic
124C47×#388C2211yescharacteristic
125C47×#388C2211yescharacteristic, complemented
126C47×#388C2211yescharacteristic, complemented
127C47×#388C2211yescharacteristic, complemented
128C47×#388C2211yescharacteristic, complemented
129C47×#388C2211yescharacteristic, complemented
130C47×#388C2211yescharacteristic, complemented
131C47×#388C2211yescharacteristic, complemented
132C47×#387C2211yescharacteristic, complemented
133C47×#387C2211yescharacteristic, complemented
134C47×#387C2211yescharacteristic, complemented
135C47×#387C2211yescharacteristic, complemented
136C47×#387C2211yescharacteristic, complemented
137C47×#387C2211yescharacteristic, complemented
138C47×#387C2211yescharacteristic, complemented
139C47×#387C2211yescharacteristic, complemented
140C47×#387C2211yescharacteristic, complemented
141C47×#386C2211yescharacteristic
142C47×#386C2211yescharacteristic
143C47×#386C2211yescharacteristic
144C47×#386C2211yescharacteristic
145C47×#386C2211yescharacteristic
146C47×#386C2211yescharacteristic
147C47×#386C2211yescharacteristic
148C47×#386C2211yescharacteristic
149C47×#385C2211yescharacteristic
150C47×#385C2211yescharacteristic
151C47×#385C2211yescharacteristic
152C47×#385C2211yescharacteristic
153C47×#385C2211yescharacteristic
154C47×#385C2211yescharacteristic
155C47×#385C2211yescharacteristic
156C47×#385C2211yescharacteristic
157C47×#385C2211yescharacteristic
158C47×#385C2211yescharacteristic
159C47×#385C2211yescharacteristic
160C47×#385C2211yescharacteristic
161C47×#385C2211yescharacteristic
162C47×#385C2211yescharacteristic, complemented
163C47×#385C2211yescharacteristic, complemented
164C47×#385C2211yescharacteristic, complemented
165C47×#384C2211yescharacteristic, complemented
166C47×#383C2211yescharacteristic, complemented
167C47×#382C2211yescharacteristic, complemented
168C47×#381C2211yescharacteristic
169C47×#381C2211yescharacteristic
170C47×#380C2211yescharacteristic
171C47×#380C2211yescharacteristic
172C47×#380C2211yescharacteristic
173C47×#380C2211yescharacteristic, complemented
174C47×#380C2211yescharacteristic, complemented
175C47×#380C2211yescharacteristic, complemented
176C47×#379C2211yescharacteristic
177C47×#379C2211yescharacteristic
178C47×#379C2211yescharacteristic
179C47×#379C2211yescharacteristic
180C4×C4⋊C4×C47C2211yescharacteristic, complemented
181C4×C4⋊C4×C47C2211yescharacteristic, complemented
182C4×C4⋊C4×C47C2211yescharacteristic, complemented
183C4×C22⋊C4×C47C2211yescharacteristic
184C4×C22⋊C4×C47C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic, complemented
187C25×C47C2311yescharacteristic
188C22×Q8×C47C2311yescharacteristic
189C22×D4×C47C2311yescharacteristic
190C22×D4×C47C2311yescharacteristic
191C22×D4×C47C2311yescharacteristic
192C22×D4×C47C2311yescharacteristic
193C22×D4×C47C2311yescharacteristic
194C22×D4×C47C2311yescharacteristic
195C22×D4×C47C2311yescharacteristic
196C23×C4×C47—42no—
197C23×C4×C47—42no—
198C23×C4×C47—42no—
199C23×C4×C47C2311yescharacteristic
200C23×C4×C47C2311yescharacteristic
201C23×C4×C47C2311yescharacteristic
202C23×C4×C47C2311yescharacteristic
203C23×C4×C47C2311yescharacteristic
204C23×C4×C47C2311yescharacteristic
205C23×C4×C47C2311yescharacteristic
206C23×C4×C47C2311yescharacteristic
207#126×C47—24no—
208#126×C47—42no—
209#125×C47—42no—
210#125×C47—42no—
211#124×C47—42no—
212#123×C47—24no—
213#123×C47—42no—
214#123×C47—42no—
215#123×C47—42no—
216C22⋊Q8×C47—42no—
217C22⋊Q8×C47—42no—
218C22⋊Q8×C47—42no—
219#121×C47—42no—
220#120×C47—24no—
221#120×C47—42no—
222C4×D4×C47—42no—
223C4×D4×C47—42no—
224C4×D4×C47—42no—
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×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×C22⋊C4×C47C2311yescharacteristic
264C2×C22⋊C4×C47C2311yescharacteristic
265C2×C22⋊C4×C47C2311yescharacteristic
266C2×C22⋊C4×C47C2311yescharacteristic
267C2×C22⋊C4×C47C2311yescharacteristic
268C2×C22⋊C4×C47C2311yescharacteristic
269C2×C22⋊C4×C47C2311yescharacteristic
270C2×C22⋊C4×C47C2311yescharacteristic
271C2×C22⋊C4×C47C2311yescharacteristic
272C2×C22⋊C4×C47C2311yescharacteristic
273C2×C22⋊C4×C47C2311yescharacteristic
274C2×C22⋊C4×C47C2311yescharacteristic
275C2×C22⋊C4×C47C2311yescharacteristic
276C2×C22⋊C4×C47C2311yescharacteristic
277C2×C22⋊C4×C47C2311yescharacteristic
278C2×C22⋊C4×C47C2311yescharacteristic
279C2×C22⋊C4×C47C2311yescharacteristic
280C2×C22⋊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×C42×C47C2311yescharacteristic
314C2×C42×C47C2311yescharacteristic
315C2×C42×C47C2311yescharacteristic
316C2×C42×C47C2311yescharacteristic
317C2×C42×C47C2311yescharacteristic
318C2×C42×C47C2311yescharacteristic
319C2×C42×C47C2311yescharacteristic
320C2×C42×C47C2311yescharacteristic
321C2×C42×C47C2311yescharacteristic
322C2×C42×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
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363C24×C47—22no—
364C24×C47—22no—
365C24×C47—22no—
366C24×C47—41no—
367C24×C47—41no—
368C24×C47—41no—
369C24×C47—41no—
370C24×C47C2411yescharacteristic
371C24×C47C2411yescharacteristic
372C24×C47C2411yescharacteristic
373C24×C47C2411yescharacteristic
374C24×C47C2411yescharacteristic
375C2×Q8×C47—22no—
376C2×Q8×C47—41no—
377C2×Q8×C47—41no—
378C2×D4×C47—22no—
379C2×D4×C47—22no—
380C2×D4×C47—22no—
381C2×D4×C47—22no—
382C2×D4×C47—22no—
383C2×D4×C47—22no—
384C2×D4×C47—22no—
385C2×D4×C47—22no—
386C2×D4×C47—41no—
387C2×D4×C47—41no—
388C2×D4×C47—41no—
389C2×D4×C47—41no—
390C2×D4×C47—41no—
391C2×D4×C47—41no—
392C2×D4×C47—41no—
393C2×D4×C47—41no—
394C2×D4×C47—41no—
395C2×D4×C47—41no—
396C2×D4×C47—41no—
397C2×D4×C47—41no—
398C2×D4×C47—41no—
399C22×C4×C47—22no—
400C22×C4×C47—22no—
401C22×C4×C47—22no—
402C22×C4×C47—22no—
403C22×C4×C47—22no—
404C22×C4×C47—22no—
405C22×C4×C47—22no—
406C22×C4×C47—22no—
407C22×C4×C47—22no—
408C22×C4×C47—22no—
409C22×C4×C47—41no—
410C22×C4×C47—41no—
411C22×C4×C47—41no—
412C22×C4×C47—41no—
413C22×C4×C47—41no—
414C22×C4×C47—41no—
415C22×C4×C47—41no—
416C22×C4×C47—41no—
417C22×C4×C47—41no—
418C22×C4×C47—41no—
419C22×C4×C47—41no—
420C22×C4×C47—41no—
421C22×C4×C47—41no—
422C22×C4×C47—41no—
423C22×C4×C47—416no—
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C22×C4×C47C2411yescharacteristic
438C22×C4×C47C2411yescharacteristic
439C22×C4×C47C2411yescharacteristic
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C22×C4×C47C2411yescharacteristic
443C22×C4×C47C2411yescharacteristic
444C22×C4×C47C2411yescharacteristic
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2411yescharacteristic
447C22×C4×C47C2411yescharacteristic
448C22×C4×C47C2411yescharacteristic
449C22×C4×C47C2411yescharacteristic
450C4⋊C4×C47—22no—
451C4⋊C4×C47—22no—
452C4⋊C4×C47—22no—
453C4⋊C4×C47—22no—
454C4⋊C4×C47—22no—
455C4⋊C4×C47—22no—
456C4⋊C4×C47—22no—
457C4⋊C4×C47—22no—
458C4⋊C4×C47—22no—
459C4⋊C4×C47—22no—
460C4⋊C4×C47—22no—
461C4⋊C4×C47—41no—
462C4⋊C4×C47—41no—
463C4⋊C4×C47—41no—
464C4⋊C4×C47—41no—
465C4⋊C4×C47—41no—
466C4⋊C4×C47—41no—
467C4⋊C4×C47—41no—
468C4⋊C4×C47—41no—
469C4⋊C4×C47—41no—
470C4⋊C4×C47—41no—
471C4⋊C4×C47—41no—
472C4⋊C4×C47—41no—
473C4⋊C4×C47—41no—
474C4⋊C4×C47—41no—
475C4⋊C4×C47—41no—
476C4⋊C4×C47—41no—
477C4⋊C4×C47—41no—
478C4⋊C4×C47—41no—
479C4⋊C4×C47—41no—
480C4⋊C4×C47—41no—
481C4⋊C4×C47—41no—
482C4⋊C4×C47—41no—
483C4⋊C4×C47—41no—
484C4⋊C4×C47—41no—
485C4⋊C4×C47—41no—
486C4⋊C4×C47—41no—
487C4⋊C4×C47—41no—
488C22⋊C4×C47—22no—
489C22⋊C4×C47—22no—
490C22⋊C4×C47—22no—
491C22⋊C4×C47—22no—
492C22⋊C4×C47—22no—
493C22⋊C4×C47—22no—
494C22⋊C4×C47—22no—
495C22⋊C4×C47—22no—
496C22⋊C4×C47—22no—
497C22⋊C4×C47—22no—
498C22⋊C4×C47—22no—
499C22⋊C4×C47—22no—
500C22⋊C4×C47—22no—
501C22⋊C4×C47—22no—
502C22⋊C4×C47—22no—
503C22⋊C4×C47—41no—
504C22⋊C4×C47—41no—
505C22⋊C4×C47—41no—
506C22⋊C4×C47—41no—
507C22⋊C4×C47—41no—
508C22⋊C4×C47—41no—
509C22⋊C4×C47—41no—
510C22⋊C4×C47—41no—
511C22⋊C4×C47—41no—
512C22⋊C4×C47—41no—
513C22⋊C4×C47—41no—
514C22⋊C4×C47—41no—
515C22⋊C4×C47—41no—
516C22⋊C4×C47—41no—
517C22⋊C4×C47—41no—
518C22⋊C4×C47—41no—
519C22⋊C4×C47—41no—
520C22⋊C4×C47—41no—
521C22⋊C4×C47—41no—
522C22⋊C4×C47—41no—
523C22⋊C4×C47—41no—
524C22⋊C4×C47—41no—
525C22⋊C4×C47—41no—
526C22⋊C4×C47—41no—
527C22⋊C4×C47—41no—
528C22⋊C4×C47—41no—
529C22⋊C4×C47—41no—
530C22⋊C4×C47—41no—
531C22⋊C4×C47—41no—
532C22⋊C4×C47—41no—
533C22⋊C4×C47—41no—
534C22⋊C4×C47—41no—
535C22⋊C4×C47—41no—
536C22⋊C4×C47—41no—
537C22⋊C4×C47#4114yes—
538C42×C47—22no—
539C42×C47—22no—
540C42×C47—41no—
541C42×C47—41no—
542C42×C47—41no—
543C42×C47—41no—
544C42×C47—41no—
545C42×C47—41no—
546C42×C47—41no—
547C42×C47—41no—
548C23×C47—21no—
549C23×C47—21no—
550C23×C47—21no—
551C23×C47—21no—
552C23×C47—21no—
553C23×C47—21no—
554C23×C47—21no—
555C23×C47—21no—
556C23×C47—21no—
557C23×C47—21no—
558C23×C47—21no—
559C23×C47—21no—
560C23×C47—21no—
561C23×C47—21no—
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—44no—
581C23×C47—44no—
582C23×C47—44no—
583C23×C47—44no—
584C23×C47—44no—
585C23×C47—44no—
586C23×C47—44no—
587C23×C47C2×#4112yes—
588C23×C47H(5,𝔽2)12yes—
589C23×C472−1+412yes—
590C23×C47C2511yescharacteristic
591Q8×C47—82no—
592D4×C47—44no—
593D4×C47—44no—
594D4×C47—44no—
595D4×C47—82no—
596D4×C47—82no—
597D4×C47—82no—
598D4×C47—82no—
599C2×C4×C47—21no—
600C2×C4×C47—21no—
601C2×C4×C47—21no—
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—44no—
674C2×C4×C47—44no—
675C2×C4×C47—44no—
676C2×C4×C47—44no—
677C2×C4×C47—44no—
678C2×C4×C47—44no—
679C2×C4×C47—82no—
680C2×C4×C47—82no—
681C2×C4×C47C2×#4112yes—
682C2×C4×C47C2×#4112yes—
683C2×C4×C47H(5,𝔽2)12yes—
684C2×C4×C47H(5,𝔽2)12yes—
685#36888C4711yesmaximal, characteristic, direct product factor, Sylow
686C22×C47—22no—
687C22×C47—22no—
688C22×C47—22no—
689C22×C47—22no—
690C22×C47—22no—
691C22×C47—22no—
692C22×C47—22no—
693C22×C47—22no—
694C22×C47—22no—
695C22×C47—416no—
696C22×C47—41no—
697C22×C47—41no—
698C22×C47—41no—
699C22×C47—41no—
700C22×C47—41no—
701C22×C47—41no—
702C22×C47—41no—
703C22×C47—41no—
704C22×C47—41no—
705C22×C47—41no—
706C22×C47—41no—
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×C47C22×#4111yescharacteristic
723C22×C47C2×H(5,𝔽2)11yescharacteristic
724C22×C47C2×H(5,𝔽2)11yescharacteristic
725C22×C47C2×H(5,𝔽2)11yescharacteristic
726C22×C47C2×2−1+411yescharacteristic
727C22×C47#58511yescharacteristic
728C22×C47#58511yescharacteristic
729C4×C47—22no—
730C4×C47—22no—
731C4×C47—22no—
732C4×C47—22no—
733C4×C47—41no—
734C4×C47—41no—
735C4×C47—41no—
736C4×C47—41no—
737C4×C47—41no—
738C4×C47—41no—
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—
755#2849C2×C4711yescharacteristic, complemented
756#2848C2×C4711yescharacteristic, complemented
757#2796C2×C4711yescharacteristic, complemented
758#2790C2×C4711yescharacteristic, complemented
759#2779C2×C4711yescharacteristic, complemented
760#2753C2×C4711yescharacteristic, complemented
761#2748C2×C4711yescharacteristic, complemented
762#2740C2×C4711yescharacteristic, complemented
763#2735C2×C4711yescharacteristic, complemented
764#2730C2×C4711yescharacteristic, complemented
765#2720C2×C4711yescharacteristic, complemented
766#2707C2×C4711yescharacteristic, complemented
767#2698C2×C4711yescharacteristic, complemented
768#2695C2×C4711yescharacteristic, complemented
769#2685C2×C4711yescharacteristic, complemented
770#2685C2×C4711yescharacteristic, complemented
771#2678C2×C4711yescharacteristic
772#2672C2×C4711yescharacteristic, complemented
773#2633C2×C4711yescharacteristic, complemented
774#2630C2×C4711yescharacteristic, complemented
775#2578C2×C4711yescharacteristic, complemented
776#2573C2×C4711yescharacteristic, complemented
777#2558C2×C4711yescharacteristic, complemented
778#2556C2×C4711yescharacteristic, complemented
779#2468C2×C4711yescharacteristic, complemented
780#2461C2×C4711yescharacteristic, complemented
781#2454C2×C4711yescharacteristic, complemented
782#2422C2×C4711yescharacteristic, complemented
783#2335C2×C4711yescharacteristic, complemented
784#2334C2×C4711yescharacteristic, complemented
785C4×#120C2×C4711yescharacteristic, complemented
786C2×C47—42no—
787C2×C47—42no—
788C2×C47—42no—
789C2×C47—81no—
790C2×C47—81no—
791C2×C47#346011yescharacteristic
792C2×C47#351311yescharacteristic
793C2×C47#352011yescharacteristic
794C2×C47#353211yescharacteristic
795C2×C47#353511yescharacteristic
796C2×C47#353911yescharacteristic
797C2×C47#354111yescharacteristic
798C24×C4C22×C4711yescharacteristic
799C2×#126C22×C4711yescharacteristic
800C2×#126C22×C4711yescharacteristic
801C2×#125C22×C4711yescharacteristic, complemented
802C2×#125C22×C4711yescharacteristic, complemented
803C2×#124C22×C4711yescharacteristic, complemented
804C2×#123C22×C4711yescharacteristic
805C2×#123C22×C4711yescharacteristic
806C2×#123C22×C4711yescharacteristic
807C2×#123C22×C4711yescharacteristic, complemented
808C2×C22⋊Q8C22×C4711yescharacteristic
809C2×C22⋊Q8C22×C4711yescharacteristic
810C2×C22⋊Q8C22×C4711yescharacteristic
811C2×#121C22×C4711yescharacteristic
812C2×#120C22×C4711yescharacteristic
813C2×#120C22×C4711yescharacteristic
814C2×C4×D4C22×C4711yescharacteristic
815C2×C4×D4C22×C4711yescharacteristic
816C2×C4×D4C22×C4711yescharacteristic
817#400C22×C4711yescharacteristic, complemented
818#400C22×C4711yescharacteristic, complemented
819#400C22×C4711yescharacteristic, complemented
820#400C22×C4711yescharacteristic, complemented
821#399C22×C4711yescharacteristic
822#399C22×C4711yescharacteristic
823#399C22×C4711yescharacteristic
824#399C22×C4711yescharacteristic, complemented
825#399C22×C4711yescharacteristic, complemented
826#398C22×C4711yescharacteristic, complemented
827#398C22×C4711yescharacteristic, complemented
828#398C22×C4711yescharacteristic, complemented
829#398C22×C4711yescharacteristic, complemented
830#398C22×C4711yescharacteristic, complemented
831#398C22×C4711yescharacteristic, complemented
832#397C22×C4711yescharacteristic
833#397C22×C4711yescharacteristic
834#397C22×C4711yescharacteristic
835#397C22×C4711yescharacteristic
836#397C22×C4711yescharacteristic, complemented
837#397C22×C4711yescharacteristic, complemented
838#397C22×C4711yescharacteristic, complemented
839#397C22×C4711yescharacteristic, complemented
840#396C22×C4711yescharacteristic
841#396C22×C4711yescharacteristic
842#396C22×C4711yescharacteristic
843#396C22×C4711yescharacteristic
844#396C22×C4711yescharacteristic
845#396C22×C4711yescharacteristic, complemented
846#396C22×C4711yescharacteristic, complemented
847#396C22×C4711yescharacteristic, complemented
848#396C22×C4711yescharacteristic, complemented
849#395C22×C4711yescharacteristic, complemented
850#395C22×C4711yescharacteristic, complemented
851#394C22×C4711yescharacteristic
852#394C22×C4711yescharacteristic
853#394C22×C4711yescharacteristic
854#394C22×C4711yescharacteristic
855#394C22×C4711yescharacteristic
856#394C22×C4711yescharacteristic
857#394C22×C4711yescharacteristic
858#394C22×C4711yescharacteristic
859#394C22×C4711yescharacteristic
860#394C22×C4711yescharacteristic
861#394C22×C4711yescharacteristic, complemented
862#394C22×C4711yescharacteristic, complemented
863#392C22×C4711yescharacteristic
864#392C22×C4711yescharacteristic
865#391C22×C4711yescharacteristic, complemented
866#390C22×C4711yescharacteristic
867#390C22×C4711yescharacteristic
868#390C22×C4711yescharacteristic
869#390C22×C4711yescharacteristic
870#390C22×C4711yescharacteristic
871#390C22×C4711yescharacteristic
872#389C22×C4711yescharacteristic, complemented
873#389C22×C4711yescharacteristic, complemented
874#389C22×C4711yescharacteristic, complemented
875#389C22×C4711yescharacteristic, complemented
876#389C22×C4711yescharacteristic, complemented
877#389C22×C4711yescharacteristic, complemented
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#388C22×C4711yescharacteristic
887#388C22×C4711yescharacteristic
888#388C22×C4711yescharacteristic
889#388C22×C4711yescharacteristic
890#388C22×C4711yescharacteristic
891#388C22×C4711yescharacteristic, complemented
892#388C22×C4711yescharacteristic, complemented
893#388C22×C4711yescharacteristic, complemented
894#388C22×C4711yescharacteristic, complemented
895#388C22×C4711yescharacteristic, complemented
896#388C22×C4711yescharacteristic, complemented
897#388C22×C4711yescharacteristic, complemented
898#387C22×C4711yescharacteristic, complemented
899#387C22×C4711yescharacteristic, complemented
900#387C22×C4711yescharacteristic, complemented
901#387C22×C4711yescharacteristic, complemented
902#387C22×C4711yescharacteristic, complemented
903#387C22×C4711yescharacteristic, complemented
904#387C22×C4711yescharacteristic, complemented
905#387C22×C4711yescharacteristic, complemented
906#387C22×C4711yescharacteristic, complemented
907#386C22×C4711yescharacteristic
908#386C22×C4711yescharacteristic
909#386C22×C4711yescharacteristic
910#386C22×C4711yescharacteristic
911#386C22×C4711yescharacteristic
912#386C22×C4711yescharacteristic
913#386C22×C4711yescharacteristic
914#386C22×C4711yescharacteristic
915#385C22×C4711yescharacteristic
916#385C22×C4711yescharacteristic
917#385C22×C4711yescharacteristic
918#385C22×C4711yescharacteristic
919#385C22×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, complemented
929#385C22×C4711yescharacteristic, complemented
930#385C22×C4711yescharacteristic, complemented
931#384C22×C4711yescharacteristic, complemented
932#383C22×C4711yescharacteristic, complemented
933#382C22×C4711yescharacteristic, complemented
934#381C22×C4711yescharacteristic
935#381C22×C4711yescharacteristic
936#380C22×C4711yescharacteristic
937#380C22×C4711yescharacteristic
938#380C22×C4711yescharacteristic
939#380C22×C4711yescharacteristic, complemented
940#380C22×C4711yescharacteristic, complemented
941#380C22×C4711yescharacteristic, complemented
942#379C22×C4711yescharacteristic
943#379C22×C4711yescharacteristic
944#379C22×C4711yescharacteristic
945#379C22×C4711yescharacteristic
946C4×C4⋊C4C22×C4711yescharacteristic, complemented
947C4×C4⋊C4C22×C4711yescharacteristic, complemented
948C4×C4⋊C4C22×C4711yescharacteristic, complemented
949C4×C22⋊C4C22×C4711yescharacteristic
950C4×C22⋊C4C22×C4711yescharacteristic
951C4×C22⋊C4C22×C4711yescharacteristic
952C4×C22⋊C4C22×C4711yescharacteristic, complemented
953C47#3688811yescharacteristic, direct product factor, Sylow
954C25C23×C4711yescharacteristic
955C22×Q8C23×C4711yescharacteristic
956C22×D4C23×C4711yescharacteristic
957C22×D4C23×C4711yescharacteristic
958C22×D4C23×C4711yescharacteristic
959C22×D4C23×C4711yescharacteristic
960C22×D4C23×C4711yescharacteristic
961C22×D4C23×C4711yescharacteristic
962C22×D4C23×C4711yescharacteristic
963C23×C4—42no—
964C23×C4—42no—
965C23×C4—42no—
966C23×C4C23×C4711yescharacteristic
967C23×C4C23×C4711yescharacteristic
968C23×C4C23×C4711yescharacteristic
969C23×C4C23×C4711yescharacteristic
970C23×C4C23×C4711yescharacteristic
971C23×C4C23×C4711yescharacteristic
972C23×C4C23×C4711yescharacteristic
973C23×C4C23×C4711yescharacteristic
974#126—24no—
975#126—42no—
976#125—42no—
977#125—42no—
978#124—42no—
979#123—24no—
980#123—42no—
981#123—42no—
982#123—42no—
983C22⋊Q8—42no—
984C22⋊Q8—42no—
985C22⋊Q8—42no—
986#121—42no—
987#120—24no—
988#120—42no—
989C4×D4—42no—
990C4×D4—42no—
991C4×D4—42no—
992C2×C4⋊C4C23×C4711yescharacteristic
993C2×C4⋊C4C23×C4711yescharacteristic
994C2×C4⋊C4C23×C4711yescharacteristic
995C2×C4⋊C4C23×C4711yescharacteristic
996C2×C4⋊C4C23×C4711yescharacteristic
997C2×C4⋊C4C23×C4711yescharacteristic
998C2×C4⋊C4C23×C4711yescharacteristic
999C2×C4⋊C4C23×C4711yescharacteristic
1000C2×C4⋊C4C23×C4711yescharacteristic
1001C2×C4⋊C4C23×C4711yescharacteristic
1002C2×C4⋊C4C23×C4711yescharacteristic
1003C2×C4⋊C4C23×C4711yescharacteristic
1004C2×C4⋊C4C23×C4711yescharacteristic
1005C2×C4⋊C4C23×C4711yescharacteristic
1006C2×C4⋊C4C23×C4711yescharacteristic
1007C2×C4⋊C4C23×C4711yescharacteristic
1008C2×C4⋊C4C23×C4711yescharacteristic
1009C2×C4⋊C4C23×C4711yescharacteristic
1010C2×C4⋊C4C23×C4711yescharacteristic
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×C22⋊C4C23×C4711yescharacteristic
1031C2×C22⋊C4C23×C4711yescharacteristic
1032C2×C22⋊C4C23×C4711yescharacteristic
1033C2×C22⋊C4C23×C4711yescharacteristic
1034C2×C22⋊C4C23×C4711yescharacteristic
1035C2×C22⋊C4C23×C4711yescharacteristic
1036C2×C22⋊C4C23×C4711yescharacteristic
1037C2×C22⋊C4C23×C4711yescharacteristic
1038C2×C22⋊C4C23×C4711yescharacteristic
1039C2×C22⋊C4C23×C4711yescharacteristic
1040C2×C22⋊C4C23×C4711yescharacteristic
1041C2×C22⋊C4C23×C4711yescharacteristic
1042C2×C22⋊C4C23×C4711yescharacteristic
1043C2×C22⋊C4C23×C4711yescharacteristic
1044C2×C22⋊C4C23×C4711yescharacteristic
1045C2×C22⋊C4C23×C4711yescharacteristic
1046C2×C22⋊C4C23×C4711yescharacteristic
1047C2×C22⋊C4C23×C4711yescharacteristic
1048C2×C22⋊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×C42C23×C4711yescharacteristic
1081C2×C42C23×C4711yescharacteristic
1082C2×C42C23×C4711yescharacteristic
1083C2×C42C23×C4711yescharacteristic
1084C2×C42C23×C4711yescharacteristic
1085C2×C42C23×C4711yescharacteristic
1086C2×C42C23×C4711yescharacteristic
1087C2×C42C23×C4711yescharacteristic
1088C2×C42C23×C4711yescharacteristic
1089C2×C42C23×C4711yescharacteristic
1090#95C23×C4711yescharacteristic
1091#95C23×C4711yescharacteristic
1092#95C23×C4711yescharacteristic
1093#95C23×C4711yescharacteristic
1094#95C23×C4711yescharacteristic
1095#95C23×C4711yescharacteristic
1096#95C23×C4711yescharacteristic
1097#95C23×C4711yescharacteristic
1098#95C23×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
1130C24—22no—
1131C24—22no—
1132C24—22no—
1133C24—41no—
1134C24—41no—
1135C24—41no—
1136C24—41no—
1137C24C24×C4711yescharacteristic
1138C24C24×C4711yescharacteristic
1139C24C24×C4711yescharacteristic
1140C24C24×C4711yescharacteristic
1141C24C24×C4711yescharacteristic
1142C2×Q8—22no—
1143C2×Q8—41no—
1144C2×Q8—41no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—416no—
1191C22×C4C24×C4711yescharacteristic
1192C22×C4C24×C4711yescharacteristic
1193C22×C4C24×C4711yescharacteristic
1194C22×C4C24×C4711yescharacteristic
1195C22×C4C24×C4711yescharacteristic
1196C22×C4C24×C4711yescharacteristic
1197C22×C4C24×C4711yescharacteristic
1198C22×C4C24×C4711yescharacteristic
1199C22×C4C24×C4711yescharacteristic
1200C22×C4C24×C4711yescharacteristic
1201C22×C4C24×C4711yescharacteristic
1202C22×C4C24×C4711yescharacteristic
1203C22×C4C24×C4711yescharacteristic
1204C22×C4C24×C4711yescharacteristic
1205C22×C4C24×C4711yescharacteristic
1206C22×C4C24×C4711yescharacteristic
1207C22×C4C24×C4711yescharacteristic
1208C22×C4C24×C4711yescharacteristic
1209C22×C4C24×C4711yescharacteristic
1210C22×C4C24×C4711yescharacteristic
1211C22×C4C24×C4711yescharacteristic
1212C22×C4C24×C4711yescharacteristic
1213C22×C4C24×C4711yescharacteristic
1214C22×C4C24×C4711yescharacteristic
1215C22×C4C24×C4711yescharacteristic
1216C22×C4C24×C4711yescharacteristic
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4#41×C4714yes—
1305C42—22no—
1306C42—22no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
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—44no—
1348C23—44no—
1349C23—44no—
1350C23—44no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23C2×#41×C4712yes—
1355C23H(5,𝔽2)×C4712yes—
1356C232−1+4×C4712yes—
1357C23C25×C4711yescharacteristic
1358Q8—82no—
1359D4—44no—
1360D4—44no—
1361D4—44no—
1362D4—82no—
1363D4—82no—
1364D4—82no—
1365D4—82no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
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—44no—
1441C2×C4—44no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—82no—
1447C2×C4—82no—
1448C2×C4C2×#41×C4712yes—
1449C2×C4C2×#41×C4712yes—
1450C2×C4H(5,𝔽2)×C4712yes—
1451C2×C4H(5,𝔽2)×C4712yes—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—416no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
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—
1488C22C22×#41×C4711yescharacteristic
1489C22C2×H(5,𝔽2)×C4711yescharacteristic
1490C22C2×H(5,𝔽2)×C4711yescharacteristic
1491C22C2×H(5,𝔽2)×C4711yescharacteristic
1492C22C2×2−1+4×C4711yescharacteristic
1493C22C47×#58511yescharacteristic
1494C22C47×#58511yescharacteristic
1495C4—22no—
1496C4—22no—
1497C4—22no—
1498C4—22no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
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—
1521C2—42no—
1522C2—42no—
1523C2—42no—
1524C2—81no—
1525C2—81no—
1526C2C47×#346011yescharacteristic
1527C2C47×#351311yescharacteristic
1528C2C47×#352011yescharacteristic
1529C2C47×#353211yescharacteristic
1530C2C47×#353511yescharacteristic
1531C2C47×#353911yescharacteristic
1532C2C47×#354111yescharacteristic
subgroupG/H
center, socleC23×C47C25
commutator, Frattini, cosocleC23C25×C47
prime radicalC47×#2678C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#2849C2semidirect
2. C47×#2848C2semidirect
3. C47×#2796C2semidirect
4. C47×#2790C2semidirect
5. C47×#2779C2semidirect
6. C47×#2753C2semidirect
7. C47×#2748C2semidirect
8. C47×#2740C2semidirect
9. C47×#2735C2semidirect
10. C47×#2730C2semidirect
11. C47×#2720C2semidirect
12. C47×#2707C2semidirect
13. C47×#2698C2semidirect
14. C47×#2695C2semidirect
15. C47×#2685C2semidirect
16. C47×#2685C2semidirect
18. C47×#2672C2semidirect
19. C47×#2633C2semidirect
20. C47×#2630C2semidirect
21. C47×#2578C2semidirect
22. C47×#2573C2semidirect
23. C47×#2558C2semidirect
24. C47×#2556C2semidirect
25. C47×#2468C2semidirect
26. C47×#2461C2semidirect
27. C47×#2454C2semidirect
28. C47×#2422C2semidirect
29. C47×#2335C2semidirect
30. C47×#2334C2semidirect
31. C4×#120×C47C2semidirect
35. C2×#125×C47C22semidirect
36. C2×#125×C47C22semidirect
37. C2×#124×C47C22semidirect
41. C2×#123×C47C22semidirect
51. C47×#400C22semidirect
52. C47×#400C22semidirect
53. C47×#400C22semidirect
54. C47×#400C22semidirect
58. C47×#399C22semidirect
59. C47×#399C22semidirect
60. C47×#398C22semidirect
61. C47×#398C22semidirect
62. C47×#398C22semidirect
63. C47×#398C22semidirect
64. C47×#398C22semidirect
65. C47×#398C22semidirect
70. C47×#397C22semidirect
71. C47×#397C22semidirect
72. C47×#397C22semidirect
73. C47×#397C22semidirect
79. C47×#396C22semidirect
80. C47×#396C22semidirect
81. C47×#396C22semidirect
82. C47×#396C22semidirect
83. C47×#395C22semidirect
84. C47×#395C22semidirect
95. C47×#394C22semidirect
96. C47×#394C22semidirect
99. C47×#391C22semidirect
106. C47×#389C22semidirect
107. C47×#389C22semidirect
108. C47×#389C22semidirect
109. C47×#389C22semidirect
110. C47×#389C22semidirect
111. C47×#389C22semidirect
125. C47×#388C22semidirect
126. C47×#388C22semidirect
127. C47×#388C22semidirect
128. C47×#388C22semidirect
129. C47×#388C22semidirect
130. C47×#388C22semidirect
131. C47×#388C22semidirect
132. C47×#387C22semidirect
133. C47×#387C22semidirect
134. C47×#387C22semidirect
135. C47×#387C22semidirect
136. C47×#387C22semidirect
137. C47×#387C22semidirect
138. C47×#387C22semidirect
139. C47×#387C22semidirect
140. C47×#387C22semidirect
162. C47×#385C22semidirect
163. C47×#385C22semidirect
164. C47×#385C22semidirect
165. C47×#384C22semidirect
166. C47×#383C22semidirect
167. C47×#382C22semidirect
173. C47×#380C22semidirect
174. C47×#380C22semidirect
175. C47×#380C22semidirect
180. C4×C4⋊C4×C47C22semidirect
181. C4×C4⋊C4×C47C22semidirect
182. C4×C4⋊C4×C47C22semidirect
186. C4×C22⋊C4×C47C22semidirect
685. #36888C47direct (N × H)
755. #2849C2×C47semidirect
756. #2848C2×C47semidirect
757. #2796C2×C47semidirect
758. #2790C2×C47semidirect
759. #2779C2×C47semidirect
760. #2753C2×C47semidirect
761. #2748C2×C47semidirect
762. #2740C2×C47semidirect
763. #2735C2×C47semidirect
764. #2730C2×C47semidirect
765. #2720C2×C47semidirect
766. #2707C2×C47semidirect
767. #2698C2×C47semidirect
768. #2695C2×C47semidirect
769. #2685C2×C47semidirect
770. #2685C2×C47semidirect
772. #2672C2×C47semidirect
773. #2633C2×C47semidirect
774. #2630C2×C47semidirect
775. #2578C2×C47semidirect
776. #2573C2×C47semidirect
777. #2558C2×C47semidirect
778. #2556C2×C47semidirect
779. #2468C2×C47semidirect
780. #2461C2×C47semidirect
781. #2454C2×C47semidirect
782. #2422C2×C47semidirect
783. #2335C2×C47semidirect
784. #2334C2×C47semidirect
785. C4×#120C2×C47semidirect
801. C2×#125C22×C47semidirect
802. C2×#125C22×C47semidirect
803. C2×#124C22×C47semidirect
807. C2×#123C22×C47semidirect
817. #400C22×C47semidirect
818. #400C22×C47semidirect
819. #400C22×C47semidirect
820. #400C22×C47semidirect
824. #399C22×C47semidirect
825. #399C22×C47semidirect
826. #398C22×C47semidirect
827. #398C22×C47semidirect
828. #398C22×C47semidirect
829. #398C22×C47semidirect
830. #398C22×C47semidirect
831. #398C22×C47semidirect
836. #397C22×C47semidirect
837. #397C22×C47semidirect
838. #397C22×C47semidirect
839. #397C22×C47semidirect
845. #396C22×C47semidirect
846. #396C22×C47semidirect
847. #396C22×C47semidirect
848. #396C22×C47semidirect
849. #395C22×C47semidirect
850. #395C22×C47semidirect
861. #394C22×C47semidirect
862. #394C22×C47semidirect
865. #391C22×C47semidirect
872. #389C22×C47semidirect
873. #389C22×C47semidirect
874. #389C22×C47semidirect
875. #389C22×C47semidirect
876. #389C22×C47semidirect
877. #389C22×C47semidirect
891. #388C22×C47semidirect
892. #388C22×C47semidirect
893. #388C22×C47semidirect
894. #388C22×C47semidirect
895. #388C22×C47semidirect
896. #388C22×C47semidirect
897. #388C22×C47semidirect
898. #387C22×C47semidirect
899. #387C22×C47semidirect
900. #387C22×C47semidirect
901. #387C22×C47semidirect
902. #387C22×C47semidirect
903. #387C22×C47semidirect
904. #387C22×C47semidirect
905. #387C22×C47semidirect
906. #387C22×C47semidirect
928. #385C22×C47semidirect
929. #385C22×C47semidirect
930. #385C22×C47semidirect
931. #384C22×C47semidirect
932. #383C22×C47semidirect
933. #382C22×C47semidirect
939. #380C22×C47semidirect
940. #380C22×C47semidirect
941. #380C22×C47semidirect
946. C4×C4⋊C4C22×C47semidirect
947. C4×C4⋊C4C22×C47semidirect
948. C4×C4⋊C4C22×C47semidirect
952. C4×C22⋊C4C22×C47semidirect
953. C47#36888direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#28492
C47×#28482
C47×#27962
C47×#27902
C47×#27792
C47×#27532
C47×#27482
C47×#27402
C47×#27352
C47×#27302
C47×#27202
C47×#27072
C47×#26982
C47×#26952
C47×#26852
C47×#26782
C47×#26722
C47×#26332
C47×#26302
C47×#25782
C47×#25732
C47×#25582
C47×#25562
C47×#24682
C47×#24612
C47×#24542
C47×#24222
C47×#23352
C47×#23342
C4×#120×C472
#3688847