Finite Group Databasebeta

← C47×#35075 #26074773

Subgroups — C47×#35075 #26074773

Order 12032.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#2855C211yesmaximal, characteristic, complemented
2C47×#2854C211yesmaximal, characteristic
3C47×#2853C211yesmaximal, characteristic, complemented
4C47×#2853C211yesmaximal, characteristic, complemented
5C47×#2655C211yesmaximal, characteristic, complemented
6C47×#2654C211yesmaximal, characteristic, complemented
7C47×#2651C211yesmaximal, characteristic, complemented
8C47×#2650C211yesmaximal, characteristic, complemented
9C47×#2596C211yesmaximal, characteristic, complemented
10C47×#2594C211yesmaximal, characteristic, complemented
11C47×#2590C211yesmaximal, characteristic, complemented
12C47×#2588C211yesmaximal, characteristic, complemented
13C47×#2577C211yesmaximal, characteristic, complemented
14C47×#2575C211yesmaximal, characteristic, complemented
15C47×#2560C211yesmaximal, characteristic, complemented
16C47×#2558C211yesmaximal, characteristic, complemented
17C47×#2510C211yesmaximal, characteristic, complemented
18C47×#2505C211yesmaximal, characteristic, complemented
19C47×#2481C211yesmaximal, characteristic, complemented
20C47×#2473C211yesmaximal, characteristic, complemented
21C47×#2450C211yesmaximal, characteristic, complemented
22C47×#2449C211yesmaximal, characteristic, complemented
23C47×#2444C211yesmaximal, characteristic
24C47×#2443C211yesmaximal, characteristic
25C47×#2336C211yesmaximal, characteristic, complemented
26C47×#2335C211yesmaximal, characteristic, complemented
27C47×#2334C211yesmaximal, characteristic, complemented
28C47×#2332C211yesmaximal, characteristic, complemented
29C4×#123×C47C211yesmaximal, characteristic, complemented
30C4×#123×C47C211yesmaximal, characteristic, complemented
31C2×C4×C4⋊C4×C47C211yesmaximal, characteristic, complemented
32C2×#126×C47C2211yescharacteristic
33C2×#125×C47C2211yescharacteristic
34C2×#123×C47C2211yescharacteristic
35C2×#123×C47C2211yescharacteristic
36C2×#123×C47C2211yescharacteristic
37C2×C22⋊Q8×C47C2211yescharacteristic
38C2×C22⋊Q8×C47C2211yescharacteristic
39C2×#121×C47C2211yescharacteristic
40C2×C4×D4×C47C2211yescharacteristic
41C2×C4×D4×C47C2211yescharacteristic
42C22×C4⋊C4×C47C2211yescharacteristic
43C22×C4⋊C4×C47C2211yescharacteristic
44C22×C42×C47C2211yescharacteristic
45C22×C42×C47C2211yescharacteristic
46C22×C42×C47C2211yescharacteristic
47C47×#401C2211yescharacteristic
48C47×#400C2211yescharacteristic
49C47×#400C2211yescharacteristic
50C47×#400C2211yescharacteristic
51C47×#400C2211yescharacteristic
52C47×#400C2211yescharacteristic
53C47×#400C2211yescharacteristic
54C47×#400C2211yescharacteristic
55C47×#400C2211yescharacteristic
56C47×#400C2211yescharacteristic
57C47×#399C2211yescharacteristic
58C47×#399C2211yescharacteristic
59C47×#398C2211yescharacteristic
60C47×#398C2211yescharacteristic
61C47×#398C2211yescharacteristic
62C47×#398C2211yescharacteristic
63C47×#398C2211yescharacteristic
64C47×#398C2211yescharacteristic
65C47×#398C2211yescharacteristic
66C47×#397C2211yescharacteristic
67C47×#397C2211yescharacteristic
68C47×#397C2211yescharacteristic
69C47×#397C2211yescharacteristic
70C47×#397C2211yescharacteristic
71C47×#397C2211yescharacteristic
72C47×#396C2211yescharacteristic
73C47×#396C2211yescharacteristic
74C47×#396C2211yescharacteristic
75C47×#395C2211yescharacteristic
76C47×#394C2211yescharacteristic
77C47×#394C2211yescharacteristic
78C47×#393C2211yescharacteristic
79C47×#391C2211yescharacteristic
80C47×#391C2211yescharacteristic
81C47×#391C2211yescharacteristic
82C47×#390C2211yescharacteristic
83C47×#390C2211yescharacteristic
84C47×#389C2211yescharacteristic
85C47×#389C2211yescharacteristic
86C47×#389C2211yescharacteristic
87C47×#389C2211yescharacteristic
88C47×#389C2211yescharacteristic
89C47×#389C2211yescharacteristic
90C47×#389C2211yescharacteristic
91C47×#388C2211yescharacteristic
92C47×#388C2211yescharacteristic
93C47×#388C2211yescharacteristic
94C47×#388C2211yescharacteristic
95C47×#388C2211yescharacteristic
96C47×#388C2211yescharacteristic
97C47×#388C2211yescharacteristic
98C47×#388C2211yescharacteristic
99C47×#388C2211yescharacteristic
100C47×#388C2211yescharacteristic
101C47×#388C2211yescharacteristic
102C47×#388C2211yescharacteristic
103C47×#388C2211yescharacteristic
104C47×#388C2211yescharacteristic
105C47×#388C2211yescharacteristic
106C47×#388C2211yescharacteristic
107C47×#388C2211yescharacteristic
108C47×#388C2211yescharacteristic
109C47×#388C2211yescharacteristic
110C47×#388C2211yescharacteristic
111C47×#388C2211yescharacteristic
112C47×#387C2211yescharacteristic
113C47×#387C2211yescharacteristic
114C47×#387C2211yescharacteristic
115C47×#387C2211yescharacteristic
116C47×#387C2211yescharacteristic
117C47×#387C2211yescharacteristic
118C47×#387C2211yescharacteristic
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×#386C2211yescharacteristic
140C47×#386C2211yescharacteristic
141C47×#386C2211yescharacteristic
142C47×#386C2211yescharacteristic
143C47×#386C2211yescharacteristic
144C47×#386C2211yescharacteristic
145C47×#386C2211yescharacteristic
146C47×#386C2211yescharacteristic
147C47×#386C2211yescharacteristic
148C47×#385C2211yescharacteristic
149C47×#385C2211yescharacteristic
150C47×#385C2211yescharacteristic
151C47×#385C2211yescharacteristic
152C47×#385C2211yescharacteristic
153C47×#385C2211yescharacteristic
154C47×#385C2211yescharacteristic
155C47×#385C2211yescharacteristic
156C47×#385C2211yescharacteristic
157C47×#385C2211yescharacteristic
158C47×#385C2211yescharacteristic
159C47×#383C2211yescharacteristic
160C47×#382C2211yescharacteristic
161C47×#381C2211yescharacteristic
162C47×#381C2211yescharacteristic
163C47×#381C2211yescharacteristic
164C47×#380C2211yescharacteristic
165C47×#380C2211yescharacteristic
166C47×#380C2211yescharacteristic
167C4×C4⋊C4×C47C2211yescharacteristic
168C4×C4⋊C4×C47C2211yescharacteristic
169C4×C4⋊C4×C47C2211yescharacteristic
170C4×C4⋊C4×C47C2211yescharacteristic
171C4×C4⋊C4×C47C2211yescharacteristic
172C4×C4⋊C4×C47C2211yescharacteristic
173C4×C4⋊C4×C47C2211yescharacteristic
174C4×C4⋊C4×C47C2211yescharacteristic
175C4×C4⋊C4×C47C2211yescharacteristic
176C4×C4⋊C4×C47C2211yescharacteristic
177C4×C4⋊C4×C47C2211yescharacteristic
178C4×C4⋊C4×C47C2211yescharacteristic
179C4×C22⋊C4×C47C2211yescharacteristic
180C4×C22⋊C4×C47C2211yescharacteristic
181C4×C22⋊C4×C47C2211yescharacteristic
182C4×C22⋊C4×C47C2211yescharacteristic
183C4×C22⋊C4×C47C2211yescharacteristic
184C4×C22⋊C4×C47C2211yescharacteristic
185C2×#95×C47C2211yescharacteristic
186C2×#95×C47C2211yescharacteristic
187C22×Q8×C47C2311yescharacteristic
188C22×D4×C47C2311yescharacteristic
189C22×D4×C47C2311yescharacteristic
190C22×D4×C47C2311yescharacteristic
191C23×C4×C47C2311yescharacteristic
192C23×C4×C47C2311yescharacteristic
193C23×C4×C47C2311yescharacteristic
194C23×C4×C47C2311yescharacteristic
195C23×C4×C47C2311yescharacteristic
196C23×C4×C47C2311yescharacteristic
197C23×C4×C47C2311yescharacteristic
198C23×C4×C47C2311yescharacteristic
199C23×C4×C47C2311yescharacteristic
200#126×C47—24no—
201#125×C47—24no—
202#123×C47—24no—
203#123×C47—24no—
204#123×C47—24no—
205C22⋊Q8×C47—24no—
206C22⋊Q8×C47—42no—
207#121×C47—42no—
208C4×D4×C47—42no—
209C4×D4×C47—42no—
210C2×C4⋊C4×C47—24no—
211C2×C4⋊C4×C47—24no—
212C2×C4⋊C4×C47C2311yescharacteristic
213C2×C4⋊C4×C47C2311yescharacteristic
214C2×C4⋊C4×C47C2311yescharacteristic
215C2×C4⋊C4×C47C2311yescharacteristic
216C2×C4⋊C4×C47C2311yescharacteristic
217C2×C4⋊C4×C47C2311yescharacteristic
218C2×C4⋊C4×C47C2311yescharacteristic
219C2×C4⋊C4×C47C2311yescharacteristic
220C2×C4⋊C4×C47C2311yescharacteristic
221C2×C4⋊C4×C47C2311yescharacteristic
222C2×C4⋊C4×C47C2311yescharacteristic
223C2×C4⋊C4×C47C2311yescharacteristic
224C2×C4⋊C4×C47C2311yescharacteristic
225C2×C4⋊C4×C47C2311yescharacteristic
226C2×C4⋊C4×C47C2311yescharacteristic
227C2×C4⋊C4×C47C2311yescharacteristic
228C2×C4⋊C4×C47C2311yescharacteristic
229C2×C4⋊C4×C47C2311yescharacteristic
230C2×C4⋊C4×C47C2311yescharacteristic
231C2×C4⋊C4×C47C2311yescharacteristic
232C2×C4⋊C4×C47C2311yescharacteristic
233C2×C4⋊C4×C47C2311yescharacteristic
234C2×C4⋊C4×C47C2311yescharacteristic
235C2×C4⋊C4×C47C2311yescharacteristic
236C2×C4⋊C4×C47C2311yescharacteristic
237C2×C4⋊C4×C47C2311yescharacteristic
238C2×C4⋊C4×C47C2311yescharacteristic
239C2×C4⋊C4×C47C2311yescharacteristic
240C2×C4⋊C4×C47C2311yescharacteristic
241C2×C4⋊C4×C47C2311yescharacteristic
242C2×C4⋊C4×C47C2311yescharacteristic
243C2×C4⋊C4×C47C2311yescharacteristic
244C2×C4⋊C4×C47C2311yescharacteristic
245C2×C4⋊C4×C47C2311yescharacteristic
246C2×C4⋊C4×C47C2311yescharacteristic
247C2×C4⋊C4×C47C2311yescharacteristic
248C2×C4⋊C4×C47C2311yescharacteristic
249C2×C4⋊C4×C47C2311yescharacteristic
250C2×C22⋊C4×C47C2311yescharacteristic
251C2×C22⋊C4×C47C2311yescharacteristic
252C2×C22⋊C4×C47C2311yescharacteristic
253C2×C22⋊C4×C47C2311yescharacteristic
254C2×C22⋊C4×C47C2311yescharacteristic
255C2×C22⋊C4×C47C2311yescharacteristic
256C2×C22⋊C4×C47C2311yescharacteristic
257C2×C22⋊C4×C47C2311yescharacteristic
258C2×C22⋊C4×C47C2311yescharacteristic
259C2×C22⋊C4×C47C2311yescharacteristic
260C2×C22⋊C4×C47C2311yescharacteristic
261C2×C22⋊C4×C47C2311yescharacteristic
262C2×C22⋊C4×C47C2311yescharacteristic
263C2×C22⋊C4×C47C2311yescharacteristic
264C2×C22⋊C4×C47C2311yescharacteristic
265C2×C22⋊C4×C47C2311yescharacteristic
266C2×C22⋊C4×C47C2311yescharacteristic
267C2×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×C42×C47—24no—
281C2×C42×C47—42no—
282C2×C42×C47—42no—
283C2×C42×C47C2311yescharacteristic
284C2×C42×C47C2311yescharacteristic
285C2×C42×C47C2311yescharacteristic
286C2×C42×C47C2311yescharacteristic
287C2×C42×C47C2311yescharacteristic
288C2×C42×C47C2311yescharacteristic
289C2×C42×C47C2311yescharacteristic
290C2×C42×C47C2311yescharacteristic
291C2×C42×C47C2311yescharacteristic
292C2×C42×C47C2311yescharacteristic
293C2×C42×C47C2311yescharacteristic
294C2×C42×C47C2311yescharacteristic
295C2×C42×C47C2311yescharacteristic
296C2×C42×C47C2311yescharacteristic
297C2×C42×C47C2311yescharacteristic
298C2×C42×C47C2311yescharacteristic
299C2×C42×C47C2311yescharacteristic
300C2×C42×C47C2311yescharacteristic
301#95×C47C2311yescharacteristic
302#95×C47C2311yescharacteristic
303#95×C47C2311yescharacteristic
304#95×C47C2311yescharacteristic
305#95×C47C2311yescharacteristic
306#95×C47C2311yescharacteristic
307#95×C47C2311yescharacteristic
308#95×C47C2311yescharacteristic
309#95×C47C2311yescharacteristic
310#95×C47C2311yescharacteristic
311#95×C47C2311yescharacteristic
312#95×C47C2311yescharacteristic
313#95×C47C2311yescharacteristic
314#95×C47C2311yescharacteristic
315#95×C47C2311yescharacteristic
316#95×C47C2311yescharacteristic
317#95×C47C2311yescharacteristic
318#95×C47C2311yescharacteristic
319#95×C47C2311yescharacteristic
320#95×C47C2311yescharacteristic
321#95×C47C2311yescharacteristic
322#95×C47C2311yescharacteristic
323#95×C47C2311yescharacteristic
324#95×C47C2311yescharacteristic
325#95×C47C2311yescharacteristic
326#95×C47C2311yescharacteristic
327#95×C47C2311yescharacteristic
328#95×C47C2311yescharacteristic
329#95×C47C2311yescharacteristic
330#95×C47C2311yescharacteristic
331#95×C47C2311yescharacteristic
332#95×C47C2311yescharacteristic
333#95×C47C2311yescharacteristic
334#95×C47C2311yescharacteristic
335#95×C47C2311yescharacteristic
336#95×C47C2311yescharacteristic
337#95×C47C2311yescharacteristic
338#95×C47C2311yescharacteristic
339#95×C47C2311yescharacteristic
340#95×C47C2311yescharacteristic
341#95×C47C2311yescharacteristic
342#95×C47C2311yescharacteristic
343#95×C47C2311yescharacteristic
344#95×C47C2311yescharacteristic
345#95×C47C2311yescharacteristic
346#95×C47C2311yescharacteristic
347#95×C47C2311yescharacteristic
348#95×C47C2311yescharacteristic
349#95×C47C2311yescharacteristic
350#95×C47C2311yescharacteristic
351#95×C47C2311yescharacteristic
352#95×C47C2311yescharacteristic
353#95×C47C2311yescharacteristic
354#95×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357C24×C47C2411yescharacteristic
358C24×C47C2411yescharacteristic
359C24×C47C2411yescharacteristic
360C2×Q8×C47—22no—
361C2×Q8×C47—41no—
362C2×Q8×C47—41no—
363C2×D4×C47—22no—
364C2×D4×C47—22no—
365C2×D4×C47—22no—
366C2×D4×C47—22no—
367C2×D4×C47—22no—
368C2×D4×C47—22no—
369C2×D4×C47—22no—
370C2×D4×C47—41no—
371C2×D4×C47—41no—
372C22×C4×C47—22no—
373C22×C4×C47—22no—
374C22×C4×C47—22no—
375C22×C4×C47—22no—
376C22×C4×C47—22no—
377C22×C4×C47—22no—
378C22×C4×C47—22no—
379C22×C4×C47—22no—
380C22×C4×C47—22no—
381C22×C4×C47—22no—
382C22×C4×C47—22no—
383C22×C4×C47—22no—
384C22×C4×C47—22no—
385C22×C4×C47—22no—
386C22×C4×C47—22no—
387C22×C4×C47—22no—
388C22×C4×C47—41no—
389C22×C4×C47—41no—
390C22×C4×C47—41no—
391C22×C4×C47—41no—
392C22×C4×C47—41no—
393C22×C4×C47—41no—
394C22×C4×C47—41no—
395C22×C4×C47—41no—
396C22×C4×C47—41no—
397C22×C4×C47—41no—
398C22×C4×C47#4114yes—
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C4⋊C4×C47—22no—
428C4⋊C4×C47—22no—
429C4⋊C4×C47—22no—
430C4⋊C4×C47—22no—
431C4⋊C4×C47—22no—
432C4⋊C4×C47—22no—
433C4⋊C4×C47—22no—
434C4⋊C4×C47—22no—
435C4⋊C4×C47—22no—
436C4⋊C4×C47—22no—
437C4⋊C4×C47—22no—
438C4⋊C4×C47—22no—
439C4⋊C4×C47—22no—
440C4⋊C4×C47—22no—
441C4⋊C4×C47—22no—
442C4⋊C4×C47—22no—
443C4⋊C4×C47—22no—
444C4⋊C4×C47—22no—
445C4⋊C4×C47—22no—
446C4⋊C4×C47—22no—
447C4⋊C4×C47—41no—
448C4⋊C4×C47—41no—
449C4⋊C4×C47—41no—
450C4⋊C4×C47—41no—
451C4⋊C4×C47—41no—
452C4⋊C4×C47—41no—
453C4⋊C4×C47—41no—
454C4⋊C4×C47—41no—
455C4⋊C4×C47—41no—
456C4⋊C4×C47—41no—
457C4⋊C4×C47—41no—
458C4⋊C4×C47—41no—
459C4⋊C4×C47—41no—
460C4⋊C4×C47—41no—
461C4⋊C4×C47—41no—
462C4⋊C4×C47—41no—
463C4⋊C4×C47#4114yes—
464C4⋊C4×C47#4114yes—
465C22⋊C4×C47—22no—
466C22⋊C4×C47—22no—
467C22⋊C4×C47—22no—
468C22⋊C4×C47—22no—
469C22⋊C4×C47—22no—
470C22⋊C4×C47—22no—
471C22⋊C4×C47—22no—
472C22⋊C4×C47—22no—
473C22⋊C4×C47—22no—
474C22⋊C4×C47—22no—
475C22⋊C4×C47—22no—
476C22⋊C4×C47—22no—
477C22⋊C4×C47—22no—
478C22⋊C4×C47—22no—
479C22⋊C4×C47—22no—
480C22⋊C4×C47—22no—
481C22⋊C4×C47—22no—
482C22⋊C4×C47—22no—
483C22⋊C4×C47—41no—
484C22⋊C4×C47—41no—
485C22⋊C4×C47—41no—
486C22⋊C4×C47—41no—
487C22⋊C4×C47—41no—
488C22⋊C4×C47—41no—
489C22⋊C4×C47—41no—
490C22⋊C4×C47—41no—
491C22⋊C4×C47—41no—
492C22⋊C4×C47—41no—
493C22⋊C4×C47—41no—
494C22⋊C4×C47—41no—
495C42×C47—22no—
496C42×C47—22no—
497C42×C47—22no—
498C42×C47—22no—
499C42×C47—22no—
500C42×C47—22no—
501C42×C47—41no—
502C42×C47—41no—
503C42×C47—41no—
504C42×C47—41no—
505C42×C47—41no—
506C42×C47—41no—
507C42×C47—41no—
508C42×C47—41no—
509C42×C47—41no—
510C42×C47—41no—
511C42×C47—41no—
512C42×C47—41no—
513C23×C47—21no—
514C23×C47—21no—
515C23×C47—21no—
516C23×C47—21no—
517C23×C47—21no—
518C23×C47—21no—
519C23×C47—21no—
520C23×C47—21no—
521C23×C47—21no—
522C23×C47—21no—
523C23×C47—21no—
524C23×C47—21no—
525C23×C47—21no—
526C23×C47—21no—
527C23×C47—21no—
528C23×C47—21no—
529C23×C47—21no—
530C23×C47—21no—
531C23×C47C2×#4112yes—
532C23×C47H(5,𝔽2)12yes—
533C23×C472−1+412yes—
534C23×C47C2511yescharacteristic
535Q8×C47—82no—
536D4×C47—44no—
537D4×C47—44no—
538D4×C47—82no—
539C2×C4×C47—28no—
540C2×C4×C47—28no—
541C2×C4×C47—21no—
542C2×C4×C47—21no—
543C2×C4×C47—21no—
544C2×C4×C47—21no—
545C2×C4×C47—21no—
546C2×C4×C47—21no—
547C2×C4×C47—21no—
548C2×C4×C47—21no—
549C2×C4×C47—21no—
550C2×C4×C47—21no—
551C2×C4×C47—21no—
552C2×C4×C47—21no—
553C2×C4×C47—21no—
554C2×C4×C47—21no—
555C2×C4×C47—21no—
556C2×C4×C47—21no—
557C2×C4×C47—21no—
558C2×C4×C47—21no—
559C2×C4×C47—21no—
560C2×C4×C47—21no—
561C2×C4×C47—21no—
562C2×C4×C47—21no—
563C2×C4×C47—21no—
564C2×C4×C47—21no—
565C2×C4×C47—21no—
566C2×C4×C47—21no—
567C2×C4×C47—21no—
568C2×C4×C47—21no—
569C2×C4×C47—21no—
570C2×C4×C47—21no—
571C2×C4×C47—21no—
572C2×C4×C47—21no—
573C2×C4×C47—21no—
574C2×C4×C47—21no—
575C2×C4×C47—21no—
576C2×C4×C47—21no—
577C2×C4×C47—21no—
578C2×C4×C47—21no—
579C2×C4×C47—21no—
580C2×C4×C47—21no—
581C2×C4×C47—21no—
582C2×C4×C47—21no—
583C2×C4×C47—21no—
584C2×C4×C47—21no—
585C2×C4×C47—21no—
586C2×C4×C47—21no—
587C2×C4×C47—21no—
588C2×C4×C47—21no—
589C2×C4×C47—21no—
590C2×C4×C47—21no—
591C2×C4×C47—21no—
592C2×C4×C47—21no—
593C2×C4×C47—21no—
594C2×C4×C47—21no—
595C2×C4×C47—21no—
596C2×C4×C47—21no—
597C2×C4×C47—21no—
598C2×C4×C47—21no—
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—44no—
618C2×C4×C47—44no—
619C2×C4×C47—44no—
620C2×C4×C47—44no—
621C2×C4×C47—44no—
622C2×C4×C47—82no—
623C2×C4×C47—82no—
624C2×C4×C47C2×#4112yes—
625C2×C4×C47C2×#4112yes—
626C2×C4×C47C2×#4112yes—
627C2×C4×C47C2×#4112yes—
628C2×C4×C47C2×#4112yes—
629C2×C4×C47C2×#4112yes—
630C2×C4×C47C2×#4112yes—
631C2×C4×C47C2×#4112yes—
632#35075C4711yesmaximal, characteristic, direct product factor, Sylow
633C22×C47—22no—
634C22×C47—22no—
635C22×C47—22no—
636C22×C47—22no—
637C22×C47—22no—
638C22×C47—22no—
639C22×C47—41no—
640C22×C47—41no—
641C22×C47—41no—
642C22×C47—41no—
643C22×C47—41no—
644C22×C47—41no—
645C22×C47—41no—
646C22×C47—41no—
647C22×C47—41no—
648C22×C47—41no—
649C22×C47—41no—
650C22×C47—41no—
651C22×C47—41no—
652C22×C47—41no—
653C22×C47#53914yes—
654C22×C47C22×#4111yescharacteristic
655C22×C47C22×#4111yescharacteristic
656C22×C47C22×#4111yescharacteristic
657C22×C47C2×H(5,𝔽2)11yescharacteristic
658C22×C47C2×2−1+411yescharacteristic
659C22×C47#58511yescharacteristic
660C22×C47#58511yescharacteristic
661C4×C47—22no—
662C4×C47—22no—
663C4×C47—22no—
664C4×C47—22no—
665C4×C47—22no—
666C4×C47—22no—
667C4×C47—22no—
668C4×C47—22no—
669C4×C47—41no—
670C4×C47—41no—
671C4×C47—41no—
672C4×C47—41no—
673C4×C47—41no—
674C4×C47—41no—
675C4×C47—41no—
676C4×C47—41no—
677C4×C47—41no—
678C4×C47—41no—
679C4×C47—41no—
680C4×C47—41no—
681C4×C47—41no—
682C4×C47—41no—
683C4×C47—41no—
684C4×C47—41no—
685C4×C47—41no—
686C4×C47—41no—
687C4×C47—41no—
688C4×C47—41no—
689#2855C2×C4711yescharacteristic, complemented
690#2854C2×C4711yescharacteristic
691#2853C2×C4711yescharacteristic, complemented
692#2853C2×C4711yescharacteristic, complemented
693#2655C2×C4711yescharacteristic, complemented
694#2654C2×C4711yescharacteristic, complemented
695#2651C2×C4711yescharacteristic, complemented
696#2650C2×C4711yescharacteristic, complemented
697#2596C2×C4711yescharacteristic, complemented
698#2594C2×C4711yescharacteristic, complemented
699#2590C2×C4711yescharacteristic, complemented
700#2588C2×C4711yescharacteristic, complemented
701#2577C2×C4711yescharacteristic, complemented
702#2575C2×C4711yescharacteristic, complemented
703#2560C2×C4711yescharacteristic, complemented
704#2558C2×C4711yescharacteristic, complemented
705#2510C2×C4711yescharacteristic, complemented
706#2505C2×C4711yescharacteristic, complemented
707#2481C2×C4711yescharacteristic, complemented
708#2473C2×C4711yescharacteristic, complemented
709#2450C2×C4711yescharacteristic, complemented
710#2449C2×C4711yescharacteristic, complemented
711#2444C2×C4711yescharacteristic
712#2443C2×C4711yescharacteristic
713#2336C2×C4711yescharacteristic, complemented
714#2335C2×C4711yescharacteristic, complemented
715#2334C2×C4711yescharacteristic, complemented
716#2332C2×C4711yescharacteristic, complemented
717C4×#123C2×C4711yescharacteristic, complemented
718C4×#123C2×C4711yescharacteristic, complemented
719C2×C4×C4⋊C4C2×C4711yescharacteristic, complemented
720C2×C47—24no—
721C2×C47—81no—
722C2×C47—81no—
723C2×C47#344411yescharacteristic
724C2×C47C2×#53911yescharacteristic
725C2×C47#345511yescharacteristic
726C2×C47#351311yescharacteristic
727C2×C47#351311yescharacteristic
728C2×C47#351611yescharacteristic
729C2×C47#351611yescharacteristic
730C2×#126C22×C4711yescharacteristic
731C2×#125C22×C4711yescharacteristic
732C2×#123C22×C4711yescharacteristic
733C2×#123C22×C4711yescharacteristic
734C2×#123C22×C4711yescharacteristic
735C2×C22⋊Q8C22×C4711yescharacteristic
736C2×C22⋊Q8C22×C4711yescharacteristic
737C2×#121C22×C4711yescharacteristic
738C2×C4×D4C22×C4711yescharacteristic
739C2×C4×D4C22×C4711yescharacteristic
740C22×C4⋊C4C22×C4711yescharacteristic
741C22×C4⋊C4C22×C4711yescharacteristic
742C22×C42C22×C4711yescharacteristic
743C22×C42C22×C4711yescharacteristic
744C22×C42C22×C4711yescharacteristic
745#401C22×C4711yescharacteristic
746#400C22×C4711yescharacteristic
747#400C22×C4711yescharacteristic
748#400C22×C4711yescharacteristic
749#400C22×C4711yescharacteristic
750#400C22×C4711yescharacteristic
751#400C22×C4711yescharacteristic
752#400C22×C4711yescharacteristic
753#400C22×C4711yescharacteristic
754#400C22×C4711yescharacteristic
755#399C22×C4711yescharacteristic
756#399C22×C4711yescharacteristic
757#398C22×C4711yescharacteristic
758#398C22×C4711yescharacteristic
759#398C22×C4711yescharacteristic
760#398C22×C4711yescharacteristic
761#398C22×C4711yescharacteristic
762#398C22×C4711yescharacteristic
763#398C22×C4711yescharacteristic
764#397C22×C4711yescharacteristic
765#397C22×C4711yescharacteristic
766#397C22×C4711yescharacteristic
767#397C22×C4711yescharacteristic
768#397C22×C4711yescharacteristic
769#397C22×C4711yescharacteristic
770#396C22×C4711yescharacteristic
771#396C22×C4711yescharacteristic
772#396C22×C4711yescharacteristic
773#395C22×C4711yescharacteristic
774#394C22×C4711yescharacteristic
775#394C22×C4711yescharacteristic
776#393C22×C4711yescharacteristic
777#391C22×C4711yescharacteristic
778#391C22×C4711yescharacteristic
779#391C22×C4711yescharacteristic
780#390C22×C4711yescharacteristic
781#390C22×C4711yescharacteristic
782#389C22×C4711yescharacteristic
783#389C22×C4711yescharacteristic
784#389C22×C4711yescharacteristic
785#389C22×C4711yescharacteristic
786#389C22×C4711yescharacteristic
787#389C22×C4711yescharacteristic
788#389C22×C4711yescharacteristic
789#388C22×C4711yescharacteristic
790#388C22×C4711yescharacteristic
791#388C22×C4711yescharacteristic
792#388C22×C4711yescharacteristic
793#388C22×C4711yescharacteristic
794#388C22×C4711yescharacteristic
795#388C22×C4711yescharacteristic
796#388C22×C4711yescharacteristic
797#388C22×C4711yescharacteristic
798#388C22×C4711yescharacteristic
799#388C22×C4711yescharacteristic
800#388C22×C4711yescharacteristic
801#388C22×C4711yescharacteristic
802#388C22×C4711yescharacteristic
803#388C22×C4711yescharacteristic
804#388C22×C4711yescharacteristic
805#388C22×C4711yescharacteristic
806#388C22×C4711yescharacteristic
807#388C22×C4711yescharacteristic
808#388C22×C4711yescharacteristic
809#388C22×C4711yescharacteristic
810#387C22×C4711yescharacteristic
811#387C22×C4711yescharacteristic
812#387C22×C4711yescharacteristic
813#387C22×C4711yescharacteristic
814#387C22×C4711yescharacteristic
815#387C22×C4711yescharacteristic
816#387C22×C4711yescharacteristic
817#387C22×C4711yescharacteristic
818#387C22×C4711yescharacteristic
819#387C22×C4711yescharacteristic
820#387C22×C4711yescharacteristic
821#387C22×C4711yescharacteristic
822#387C22×C4711yescharacteristic
823#387C22×C4711yescharacteristic
824#387C22×C4711yescharacteristic
825#387C22×C4711yescharacteristic
826#387C22×C4711yescharacteristic
827#387C22×C4711yescharacteristic
828#387C22×C4711yescharacteristic
829#387C22×C4711yescharacteristic
830#387C22×C4711yescharacteristic
831#387C22×C4711yescharacteristic
832#387C22×C4711yescharacteristic
833#387C22×C4711yescharacteristic
834#387C22×C4711yescharacteristic
835#387C22×C4711yescharacteristic
836#387C22×C4711yescharacteristic
837#386C22×C4711yescharacteristic
838#386C22×C4711yescharacteristic
839#386C22×C4711yescharacteristic
840#386C22×C4711yescharacteristic
841#386C22×C4711yescharacteristic
842#386C22×C4711yescharacteristic
843#386C22×C4711yescharacteristic
844#386C22×C4711yescharacteristic
845#386C22×C4711yescharacteristic
846#385C22×C4711yescharacteristic
847#385C22×C4711yescharacteristic
848#385C22×C4711yescharacteristic
849#385C22×C4711yescharacteristic
850#385C22×C4711yescharacteristic
851#385C22×C4711yescharacteristic
852#385C22×C4711yescharacteristic
853#385C22×C4711yescharacteristic
854#385C22×C4711yescharacteristic
855#385C22×C4711yescharacteristic
856#385C22×C4711yescharacteristic
857#383C22×C4711yescharacteristic
858#382C22×C4711yescharacteristic
859#381C22×C4711yescharacteristic
860#381C22×C4711yescharacteristic
861#381C22×C4711yescharacteristic
862#380C22×C4711yescharacteristic
863#380C22×C4711yescharacteristic
864#380C22×C4711yescharacteristic
865C4×C4⋊C4C22×C4711yescharacteristic
866C4×C4⋊C4C22×C4711yescharacteristic
867C4×C4⋊C4C22×C4711yescharacteristic
868C4×C4⋊C4C22×C4711yescharacteristic
869C4×C4⋊C4C22×C4711yescharacteristic
870C4×C4⋊C4C22×C4711yescharacteristic
871C4×C4⋊C4C22×C4711yescharacteristic
872C4×C4⋊C4C22×C4711yescharacteristic
873C4×C4⋊C4C22×C4711yescharacteristic
874C4×C4⋊C4C22×C4711yescharacteristic
875C4×C4⋊C4C22×C4711yescharacteristic
876C4×C4⋊C4C22×C4711yescharacteristic
877C4×C22⋊C4C22×C4711yescharacteristic
878C4×C22⋊C4C22×C4711yescharacteristic
879C4×C22⋊C4C22×C4711yescharacteristic
880C4×C22⋊C4C22×C4711yescharacteristic
881C4×C22⋊C4C22×C4711yescharacteristic
882C4×C22⋊C4C22×C4711yescharacteristic
883C2×#95C22×C4711yescharacteristic
884C2×#95C22×C4711yescharacteristic
885C47#3507511yescharacteristic, direct product factor, Sylow
886C22×Q8C23×C4711yescharacteristic
887C22×D4C23×C4711yescharacteristic
888C22×D4C23×C4711yescharacteristic
889C22×D4C23×C4711yescharacteristic
890C23×C4C23×C4711yescharacteristic
891C23×C4C23×C4711yescharacteristic
892C23×C4C23×C4711yescharacteristic
893C23×C4C23×C4711yescharacteristic
894C23×C4C23×C4711yescharacteristic
895C23×C4C23×C4711yescharacteristic
896C23×C4C23×C4711yescharacteristic
897C23×C4C23×C4711yescharacteristic
898C23×C4C23×C4711yescharacteristic
899#126—24no—
900#125—24no—
901#123—24no—
902#123—24no—
903#123—24no—
904C22⋊Q8—24no—
905C22⋊Q8—42no—
906#121—42no—
907C4×D4—42no—
908C4×D4—42no—
909C2×C4⋊C4—24no—
910C2×C4⋊C4—24no—
911C2×C4⋊C4C23×C4711yescharacteristic
912C2×C4⋊C4C23×C4711yescharacteristic
913C2×C4⋊C4C23×C4711yescharacteristic
914C2×C4⋊C4C23×C4711yescharacteristic
915C2×C4⋊C4C23×C4711yescharacteristic
916C2×C4⋊C4C23×C4711yescharacteristic
917C2×C4⋊C4C23×C4711yescharacteristic
918C2×C4⋊C4C23×C4711yescharacteristic
919C2×C4⋊C4C23×C4711yescharacteristic
920C2×C4⋊C4C23×C4711yescharacteristic
921C2×C4⋊C4C23×C4711yescharacteristic
922C2×C4⋊C4C23×C4711yescharacteristic
923C2×C4⋊C4C23×C4711yescharacteristic
924C2×C4⋊C4C23×C4711yescharacteristic
925C2×C4⋊C4C23×C4711yescharacteristic
926C2×C4⋊C4C23×C4711yescharacteristic
927C2×C4⋊C4C23×C4711yescharacteristic
928C2×C4⋊C4C23×C4711yescharacteristic
929C2×C4⋊C4C23×C4711yescharacteristic
930C2×C4⋊C4C23×C4711yescharacteristic
931C2×C4⋊C4C23×C4711yescharacteristic
932C2×C4⋊C4C23×C4711yescharacteristic
933C2×C4⋊C4C23×C4711yescharacteristic
934C2×C4⋊C4C23×C4711yescharacteristic
935C2×C4⋊C4C23×C4711yescharacteristic
936C2×C4⋊C4C23×C4711yescharacteristic
937C2×C4⋊C4C23×C4711yescharacteristic
938C2×C4⋊C4C23×C4711yescharacteristic
939C2×C4⋊C4C23×C4711yescharacteristic
940C2×C4⋊C4C23×C4711yescharacteristic
941C2×C4⋊C4C23×C4711yescharacteristic
942C2×C4⋊C4C23×C4711yescharacteristic
943C2×C4⋊C4C23×C4711yescharacteristic
944C2×C4⋊C4C23×C4711yescharacteristic
945C2×C4⋊C4C23×C4711yescharacteristic
946C2×C4⋊C4C23×C4711yescharacteristic
947C2×C4⋊C4C23×C4711yescharacteristic
948C2×C4⋊C4C23×C4711yescharacteristic
949C2×C22⋊C4C23×C4711yescharacteristic
950C2×C22⋊C4C23×C4711yescharacteristic
951C2×C22⋊C4C23×C4711yescharacteristic
952C2×C22⋊C4C23×C4711yescharacteristic
953C2×C22⋊C4C23×C4711yescharacteristic
954C2×C22⋊C4C23×C4711yescharacteristic
955C2×C22⋊C4C23×C4711yescharacteristic
956C2×C22⋊C4C23×C4711yescharacteristic
957C2×C22⋊C4C23×C4711yescharacteristic
958C2×C22⋊C4C23×C4711yescharacteristic
959C2×C22⋊C4C23×C4711yescharacteristic
960C2×C22⋊C4C23×C4711yescharacteristic
961C2×C22⋊C4C23×C4711yescharacteristic
962C2×C22⋊C4C23×C4711yescharacteristic
963C2×C22⋊C4C23×C4711yescharacteristic
964C2×C22⋊C4C23×C4711yescharacteristic
965C2×C22⋊C4C23×C4711yescharacteristic
966C2×C22⋊C4C23×C4711yescharacteristic
967C2×C22⋊C4C23×C4711yescharacteristic
968C2×C22⋊C4C23×C4711yescharacteristic
969C2×C22⋊C4C23×C4711yescharacteristic
970C2×C22⋊C4C23×C4711yescharacteristic
971C2×C22⋊C4C23×C4711yescharacteristic
972C2×C22⋊C4C23×C4711yescharacteristic
973C2×C22⋊C4C23×C4711yescharacteristic
974C2×C22⋊C4C23×C4711yescharacteristic
975C2×C22⋊C4C23×C4711yescharacteristic
976C2×C22⋊C4C23×C4711yescharacteristic
977C2×C22⋊C4C23×C4711yescharacteristic
978C2×C22⋊C4C23×C4711yescharacteristic
979C2×C42—24no—
980C2×C42—42no—
981C2×C42—42no—
982C2×C42C23×C4711yescharacteristic
983C2×C42C23×C4711yescharacteristic
984C2×C42C23×C4711yescharacteristic
985C2×C42C23×C4711yescharacteristic
986C2×C42C23×C4711yescharacteristic
987C2×C42C23×C4711yescharacteristic
988C2×C42C23×C4711yescharacteristic
989C2×C42C23×C4711yescharacteristic
990C2×C42C23×C4711yescharacteristic
991C2×C42C23×C4711yescharacteristic
992C2×C42C23×C4711yescharacteristic
993C2×C42C23×C4711yescharacteristic
994C2×C42C23×C4711yescharacteristic
995C2×C42C23×C4711yescharacteristic
996C2×C42C23×C4711yescharacteristic
997C2×C42C23×C4711yescharacteristic
998C2×C42C23×C4711yescharacteristic
999C2×C42C23×C4711yescharacteristic
1000#95C23×C4711yescharacteristic
1001#95C23×C4711yescharacteristic
1002#95C23×C4711yescharacteristic
1003#95C23×C4711yescharacteristic
1004#95C23×C4711yescharacteristic
1005#95C23×C4711yescharacteristic
1006#95C23×C4711yescharacteristic
1007#95C23×C4711yescharacteristic
1008#95C23×C4711yescharacteristic
1009#95C23×C4711yescharacteristic
1010#95C23×C4711yescharacteristic
1011#95C23×C4711yescharacteristic
1012#95C23×C4711yescharacteristic
1013#95C23×C4711yescharacteristic
1014#95C23×C4711yescharacteristic
1015#95C23×C4711yescharacteristic
1016#95C23×C4711yescharacteristic
1017#95C23×C4711yescharacteristic
1018#95C23×C4711yescharacteristic
1019#95C23×C4711yescharacteristic
1020#95C23×C4711yescharacteristic
1021#95C23×C4711yescharacteristic
1022#95C23×C4711yescharacteristic
1023#95C23×C4711yescharacteristic
1024#95C23×C4711yescharacteristic
1025#95C23×C4711yescharacteristic
1026#95C23×C4711yescharacteristic
1027#95C23×C4711yescharacteristic
1028#95C23×C4711yescharacteristic
1029#95C23×C4711yescharacteristic
1030#95C23×C4711yescharacteristic
1031#95C23×C4711yescharacteristic
1032#95C23×C4711yescharacteristic
1033#95C23×C4711yescharacteristic
1034#95C23×C4711yescharacteristic
1035#95C23×C4711yescharacteristic
1036#95C23×C4711yescharacteristic
1037#95C23×C4711yescharacteristic
1038#95C23×C4711yescharacteristic
1039#95C23×C4711yescharacteristic
1040#95C23×C4711yescharacteristic
1041#95C23×C4711yescharacteristic
1042#95C23×C4711yescharacteristic
1043#95C23×C4711yescharacteristic
1044#95C23×C4711yescharacteristic
1045#95C23×C4711yescharacteristic
1046#95C23×C4711yescharacteristic
1047#95C23×C4711yescharacteristic
1048#95C23×C4711yescharacteristic
1049#95C23×C4711yescharacteristic
1050#95C23×C4711yescharacteristic
1051#95C23×C4711yescharacteristic
1052#95C23×C4711yescharacteristic
1053#95C23×C4711yescharacteristic
1054#95C23×C4711yescharacteristic
1055#95C23×C4711yescharacteristic
1056C24C24×C4711yescharacteristic
1057C24C24×C4711yescharacteristic
1058C24C24×C4711yescharacteristic
1059C2×Q8—22no—
1060C2×Q8—41no—
1061C2×Q8—41no—
1062C2×D4—22no—
1063C2×D4—22no—
1064C2×D4—22no—
1065C2×D4—22no—
1066C2×D4—22no—
1067C2×D4—22no—
1068C2×D4—22no—
1069C2×D4—41no—
1070C2×D4—41no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—41no—
1088C22×C4—41no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—41no—
1092C22×C4—41no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4—41no—
1096C22×C4—41no—
1097C22×C4#41×C4714yes—
1098C22×C4C24×C4711yescharacteristic
1099C22×C4C24×C4711yescharacteristic
1100C22×C4C24×C4711yescharacteristic
1101C22×C4C24×C4711yescharacteristic
1102C22×C4C24×C4711yescharacteristic
1103C22×C4C24×C4711yescharacteristic
1104C22×C4C24×C4711yescharacteristic
1105C22×C4C24×C4711yescharacteristic
1106C22×C4C24×C4711yescharacteristic
1107C22×C4C24×C4711yescharacteristic
1108C22×C4C24×C4711yescharacteristic
1109C22×C4C24×C4711yescharacteristic
1110C22×C4C24×C4711yescharacteristic
1111C22×C4C24×C4711yescharacteristic
1112C22×C4C24×C4711yescharacteristic
1113C22×C4C24×C4711yescharacteristic
1114C22×C4C24×C4711yescharacteristic
1115C22×C4C24×C4711yescharacteristic
1116C22×C4C24×C4711yescharacteristic
1117C22×C4C24×C4711yescharacteristic
1118C22×C4C24×C4711yescharacteristic
1119C22×C4C24×C4711yescharacteristic
1120C22×C4C24×C4711yescharacteristic
1121C22×C4C24×C4711yescharacteristic
1122C22×C4C24×C4711yescharacteristic
1123C22×C4C24×C4711yescharacteristic
1124C22×C4C24×C4711yescharacteristic
1125C22×C4C24×C4711yescharacteristic
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4—22no—
1130C4⋊C4—22no—
1131C4⋊C4—22no—
1132C4⋊C4—22no—
1133C4⋊C4—22no—
1134C4⋊C4—22no—
1135C4⋊C4—22no—
1136C4⋊C4—22no—
1137C4⋊C4—22no—
1138C4⋊C4—22no—
1139C4⋊C4—22no—
1140C4⋊C4—22no—
1141C4⋊C4—22no—
1142C4⋊C4—22no—
1143C4⋊C4—22no—
1144C4⋊C4—22no—
1145C4⋊C4—22no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—41no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C4⋊C4#41×C4714yes—
1163C4⋊C4#41×C4714yes—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
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—22no—
1177C22⋊C4—22no—
1178C22⋊C4—22no—
1179C22⋊C4—22no—
1180C22⋊C4—22no—
1181C22⋊C4—22no—
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—41no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C42—22no—
1195C42—22no—
1196C42—22no—
1197C42—22no—
1198C42—22no—
1199C42—22no—
1200C42—41no—
1201C42—41no—
1202C42—41no—
1203C42—41no—
1204C42—41no—
1205C42—41no—
1206C42—41no—
1207C42—41no—
1208C42—41no—
1209C42—41no—
1210C42—41no—
1211C42—41no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23C2×#41×C4712yes—
1231C23H(5,𝔽2)×C4712yes—
1232C232−1+4×C4712yes—
1233C23C25×C4711yescharacteristic
1234Q8—82no—
1235D4—44no—
1236D4—44no—
1237D4—82no—
1238C2×C4—28no—
1239C2×C4—28no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—44no—
1317C2×C4—44no—
1318C2×C4—44no—
1319C2×C4—44no—
1320C2×C4—44no—
1321C2×C4—82no—
1322C2×C4—82no—
1323C2×C4C2×#41×C4712yes—
1324C2×C4C2×#41×C4712yes—
1325C2×C4C2×#41×C4712yes—
1326C2×C4C2×#41×C4712yes—
1327C2×C4C2×#41×C4712yes—
1328C2×C4C2×#41×C4712yes—
1329C2×C4C2×#41×C4712yes—
1330C2×C4C2×#41×C4712yes—
1331C22—22no—
1332C22—22no—
1333C22—22no—
1334C22—22no—
1335C22—22no—
1336C22—22no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22C47×#53914yes—
1352C22C22×#41×C4711yescharacteristic
1353C22C22×#41×C4711yescharacteristic
1354C22C22×#41×C4711yescharacteristic
1355C22C2×H(5,𝔽2)×C4711yescharacteristic
1356C22C2×2−1+4×C4711yescharacteristic
1357C22C47×#58511yescharacteristic
1358C22C47×#58511yescharacteristic
1359C4—22no—
1360C4—22no—
1361C4—22no—
1362C4—22no—
1363C4—22no—
1364C4—22no—
1365C4—22no—
1366C4—22no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C2—24no—
1388C2—81no—
1389C2—81no—
1390C2C47×#344411yescharacteristic
1391C2C2×C47×#53911yescharacteristic
1392C2C47×#345511yescharacteristic
1393C2C47×#351311yescharacteristic
1394C2C47×#351311yescharacteristic
1395C2C47×#351611yescharacteristic
1396C2C47×#351611yescharacteristic
subgroupG/H
center, socleC23×C47C25
commutator, Frattini, cosocleC23C25×C47
prime radicalC2×#121×C47C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#2855C2semidirect
3. C47×#2853C2semidirect
4. C47×#2853C2semidirect
5. C47×#2655C2semidirect
6. C47×#2654C2semidirect
7. C47×#2651C2semidirect
8. C47×#2650C2semidirect
9. C47×#2596C2semidirect
10. C47×#2594C2semidirect
11. C47×#2590C2semidirect
12. C47×#2588C2semidirect
13. C47×#2577C2semidirect
14. C47×#2575C2semidirect
15. C47×#2560C2semidirect
16. C47×#2558C2semidirect
17. C47×#2510C2semidirect
18. C47×#2505C2semidirect
19. C47×#2481C2semidirect
20. C47×#2473C2semidirect
21. C47×#2450C2semidirect
22. C47×#2449C2semidirect
25. C47×#2336C2semidirect
26. C47×#2335C2semidirect
27. C47×#2334C2semidirect
28. C47×#2332C2semidirect
29. C4×#123×C47C2semidirect
30. C4×#123×C47C2semidirect
31. C2×C4×C4⋊C4×C47C2semidirect
632. #35075C47direct (N × H)
689. #2855C2×C47semidirect
691. #2853C2×C47semidirect
692. #2853C2×C47semidirect
693. #2655C2×C47semidirect
694. #2654C2×C47semidirect
695. #2651C2×C47semidirect
696. #2650C2×C47semidirect
697. #2596C2×C47semidirect
698. #2594C2×C47semidirect
699. #2590C2×C47semidirect
700. #2588C2×C47semidirect
701. #2577C2×C47semidirect
702. #2575C2×C47semidirect
703. #2560C2×C47semidirect
704. #2558C2×C47semidirect
705. #2510C2×C47semidirect
706. #2505C2×C47semidirect
707. #2481C2×C47semidirect
708. #2473C2×C47semidirect
709. #2450C2×C47semidirect
710. #2449C2×C47semidirect
713. #2336C2×C47semidirect
714. #2335C2×C47semidirect
715. #2334C2×C47semidirect
716. #2332C2×C47semidirect
717. C4×#123C2×C47semidirect
718. C4×#123C2×C47semidirect
719. C2×C4×C4⋊C4C2×C47semidirect
885. C47#35075direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#28552
C47×#28542
C47×#28532
C47×#26552
C47×#26542
C47×#26512
C47×#26502
C47×#25962
C47×#25942
C47×#25902
C47×#25882
C47×#25772
C47×#25752
C47×#25602
C47×#25582
C47×#25102
C47×#25052
C47×#24812
C47×#24732
C47×#24502
C47×#24492
C47×#24442
C47×#24432
C47×#23362
C47×#23352
C47×#23342
C47×#23322
C4×#123×C472
C2×C4×C4⋊C4×C472
#3507547