Finite Group Databasebeta

← C47×#35041 #26074739

Subgroups — C47×#35041 #26074739

Order 12032.

1788 conjugacy classes of subgroups.

The subgroup lattice has 1446 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#2866C211yesmaximal, characteristic, complemented
2C47×#2865C211yesmaximal, characteristic, complemented
3C47×#2855C211yesmaximal, characteristic, complemented
4C47×#2850C211yesmaximal, characteristic, complemented
5C47×#2653C211yesmaximal, characteristic, complemented
6C47×#2649C211yesmaximal, characteristic, complemented
7C47×#2638C211yesmaximal, characteristic, complemented
8C47×#2635C211yesmaximal, characteristic
9C47×#2607C211yesmaximal, characteristic, complemented
10C47×#2602C211yesmaximal, characteristic, complemented
11C47×#2602C211yesmaximal, characteristic, complemented
12C47×#2600C211yesmaximal, characteristic, complemented
13C47×#2597C211yesmaximal, characteristic, complemented
14C47×#2588C211yesmaximal, characteristic, complemented
15C47×#2576C211yesmaximal, characteristic, complemented
16C47×#2560C211yesmaximal, characteristic, complemented
17C47×#2531C211yesmaximal, characteristic, complemented
18C47×#2528C211yesmaximal, characteristic, complemented
19C47×#2517C211yesmaximal, characteristic, complemented
20C47×#2477C211yesmaximal, characteristic, complemented
21C47×#2474C211yesmaximal, characteristic, complemented
22C47×#2467C211yesmaximal, characteristic, complemented
23C47×#2463C211yesmaximal, characteristic, complemented
24C47×#2459C211yesmaximal, characteristic, complemented
25C47×#2334C211yesmaximal, characteristic, complemented
26C47×#2333C211yesmaximal, characteristic, complemented
27C47×#2332C211yesmaximal, characteristic, complemented
28C47×#2332C211yesmaximal, characteristic, complemented
29C4×#123×C47C211yesmaximal, characteristic, complemented
30C47×#2290C211yesmaximal, characteristic, complemented
31C42×D4×C47C211yesmaximal, characteristic, complemented
32C2×#126×C47C2211yescharacteristic
33C2×#124×C47C2211yescharacteristic
34C2×#123×C47C2211yescharacteristic
35C2×C22⋊Q8×C47C2211yescharacteristic
36C2×C22⋊Q8×C47C2211yescharacteristic
37C2×C22⋊Q8×C47C2211yescharacteristic
38C2×#121×C47C2211yescharacteristic
39C2×C4×D4×C47C2211yescharacteristic
40C2×C4×D4×C47C2211yescharacteristic
41C2×C4×D4×C47C2211yescharacteristic
42C2×C4×D4×C47C2211yescharacteristic
43C2×C4×D4×C47C2211yescharacteristic
44C2×#117×C47C2211yescharacteristic
45C22×C42×C47C2211yescharacteristic
46C22×C42×C47C2211yescharacteristic
47C47×#401C2211yescharacteristic
48C47×#400C2211yescharacteristic
49C47×#400C2211yescharacteristic
50C47×#400C2211yescharacteristic
51C47×#399C2211yescharacteristic
52C47×#399C2211yescharacteristic
53C47×#398C2211yescharacteristic
54C47×#398C2211yescharacteristic
55C47×#397C2211yescharacteristic
56C47×#397C2211yescharacteristic
57C47×#397C2211yescharacteristic
58C47×#397C2211yescharacteristic
59C47×#397C2211yescharacteristic
60C47×#397C2211yescharacteristic
61C47×#397C2211yescharacteristic
62C47×#396C2211yescharacteristic
63C47×#395C2211yescharacteristic
64C47×#394C2211yescharacteristic
65C47×#394C2211yescharacteristic
66C47×#394C2211yescharacteristic
67C47×#394C2211yescharacteristic
68C47×#394C2211yescharacteristic
69C47×#394C2211yescharacteristic
70C47×#394C2211yescharacteristic
71C47×#394C2211yescharacteristic
72C47×#394C2211yescharacteristic
73C47×#393C2211yescharacteristic
74C47×#393C2211yescharacteristic
75C47×#393C2211yescharacteristic
76C47×#392C2211yescharacteristic
77C47×#392C2211yescharacteristic
78C47×#392C2211yescharacteristic
79C47×#391C2211yescharacteristic
80C47×#391C2211yescharacteristic
81C47×#391C2211yescharacteristic
82C47×#391C2211yescharacteristic
83C47×#391C2211yescharacteristic
84C47×#391C2211yescharacteristic
85C47×#390C2211yescharacteristic
86C47×#390C2211yescharacteristic
87C47×#390C2211yescharacteristic
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×#388C2211yescharacteristic
113C47×#388C2211yescharacteristic
114C47×#388C2211yescharacteristic
115C47×#388C2211yescharacteristic
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×#387C2211yescharacteristic
140C47×#387C2211yescharacteristic
141C47×#387C2211yescharacteristic
142C47×#387C2211yescharacteristic
143C47×#386C2211yescharacteristic
144C47×#386C2211yescharacteristic
145C47×#386C2211yescharacteristic
146C47×#386C2211yescharacteristic
147C47×#386C2211yescharacteristic
148C47×#386C2211yescharacteristic
149C47×#386C2211yescharacteristic
150C47×#386C2211yescharacteristic
151C47×#386C2211yescharacteristic
152C47×#386C2211yescharacteristic
153C47×#386C2211yescharacteristic
154C47×#385C2211yescharacteristic
155C47×#385C2211yescharacteristic
156C47×#385C2211yescharacteristic
157C47×#385C2211yescharacteristic
158C47×#385C2211yescharacteristic
159C47×#385C2211yescharacteristic
160C47×#385C2211yescharacteristic
161C47×#382C2211yescharacteristic
162C47×#382C2211yescharacteristic
163C47×#381C2211yescharacteristic
164C47×#381C2211yescharacteristic
165C47×#381C2211yescharacteristic
166C47×#381C2211yescharacteristic
167C47×#380C2211yescharacteristic
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×C22⋊C4×C47C2211yescharacteristic
175C4×C22⋊C4×C47C2211yescharacteristic
176C4×C22⋊C4×C47C2211yescharacteristic
177C4×C22⋊C4×C47C2211yescharacteristic
178C4×C22⋊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
185C47×#376C2211yescharacteristic
186C43×C47C2211yescharacteristic
187C22×Q8×C47C2311yescharacteristic
188C22×Q8×C47C2311yescharacteristic
189C22×D4×C47C2311yescharacteristic
190C22×D4×C47C2311yescharacteristic
191C22×D4×C47C2311yescharacteristic
192C22×D4×C47C2311yescharacteristic
193C22×D4×C47C2311yescharacteristic
194C22×D4×C47C2311yescharacteristic
195C23×C4×C47C2311yescharacteristic
196C23×C4×C47C2311yescharacteristic
197C23×C4×C47C2311yescharacteristic
198C23×C4×C47C2311yescharacteristic
199C23×C4×C47C2311yescharacteristic
200C23×C4×C47C2311yescharacteristic
201C23×C4×C47C2311yescharacteristic
202C23×C4×C47C2311yescharacteristic
203#126×C47—24no—
204#124×C47—42no—
205#123×C47—24no—
206C22⋊Q8×C47—24no—
207C22⋊Q8×C47—24no—
208C22⋊Q8×C47—42no—
209#121×C47—24no—
210C4×D4×C47—24no—
211C4×D4×C47—24no—
212C4×D4×C47—24no—
213C4×D4×C47—24no—
214C4×D4×C47—42no—
215#117×C47—42no—
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×C22⋊C4×C47C2311yescharacteristic
245C2×C22⋊C4×C47C2311yescharacteristic
246C2×C22⋊C4×C47C2311yescharacteristic
247C2×C22⋊C4×C47C2311yescharacteristic
248C2×C22⋊C4×C47C2311yescharacteristic
249C2×C22⋊C4×C47C2311yescharacteristic
250C2×C22⋊C4×C47C2311yescharacteristic
251C2×C22⋊C4×C47C2311yescharacteristic
252C2×C22⋊C4×C47C2311yescharacteristic
253C2×C22⋊C4×C47C2311yescharacteristic
254C2×C22⋊C4×C47C2311yescharacteristic
255C2×C22⋊C4×C47C2311yescharacteristic
256C2×C22⋊C4×C47C2311yescharacteristic
257C2×C22⋊C4×C47C2311yescharacteristic
258C2×C22⋊C4×C47C2311yescharacteristic
259C2×C22⋊C4×C47C2311yescharacteristic
260C2×C22⋊C4×C47C2311yescharacteristic
261C2×C22⋊C4×C47C2311yescharacteristic
262C2×C22⋊C4×C47C2311yescharacteristic
263C2×C22⋊C4×C47C2311yescharacteristic
264C2×C22⋊C4×C47C2311yescharacteristic
265C2×C22⋊C4×C47C2311yescharacteristic
266C2×C22⋊C4×C47C2311yescharacteristic
267C2×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×C42×C47—42no—
285C2×C42×C47—42no—
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
301C2×C42×C47C2311yescharacteristic
302C2×C42×C47C2311yescharacteristic
303C2×C42×C47C2311yescharacteristic
304C2×C42×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
360C24×C47C2411yescharacteristic
361C2×Q8×C47—22no—
362C2×Q8×C47—22no—
363C2×Q8×C47—41no—
364C2×Q8×C47—41no—
365C2×Q8×C47—41no—
366C2×Q8×C47—41no—
367C2×D4×C47—22no—
368C2×D4×C47—22no—
369C2×D4×C47—22no—
370C2×D4×C47—22no—
371C2×D4×C47—22no—
372C2×D4×C47—22no—
373C2×D4×C47—22no—
374C2×D4×C47—22no—
375C2×D4×C47—41no—
376C2×D4×C47—41no—
377C2×D4×C47—41no—
378C2×D4×C47—41no—
379C2×D4×C47—41no—
380C2×D4×C47—41no—
381C2×D4×C47—41no—
382C2×D4×C47—41no—
383C2×D4×C47—41no—
384C2×D4×C47—41no—
385C22×C4×C47—22no—
386C22×C4×C47—22no—
387C22×C4×C47—22no—
388C22×C4×C47—22no—
389C22×C4×C47—22no—
390C22×C4×C47—22no—
391C22×C4×C47—22no—
392C22×C4×C47—22no—
393C22×C4×C47—41no—
394C22×C4×C47—41no—
395C22×C4×C47—41no—
396C22×C4×C47—41no—
397C22×C4×C47—41no—
398C22×C4×C47—41no—
399C22×C4×C47—41no—
400C22×C4×C47—41no—
401C22×C4×C47—41no—
402C22×C4×C47—41no—
403C22×C4×C47—41no—
404C22×C4×C47—41no—
405C22×C4×C47—41no—
406C22×C4×C47—41no—
407C22×C4×C47#4114yes—
408C22×C4×C47#4114yes—
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
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
436C4⋊C4×C47—22no—
437C4⋊C4×C47—22no—
438C4⋊C4×C47—22no—
439C4⋊C4×C47—22no—
440C4⋊C4×C47—22no—
441C4⋊C4×C47—22no—
442C4⋊C4×C47—22no—
443C4⋊C4×C47—22no—
444C4⋊C4×C47—22no—
445C4⋊C4×C47—22no—
446C4⋊C4×C47—22no—
447C4⋊C4×C47—22no—
448C4⋊C4×C47—22no—
449C4⋊C4×C47—22no—
450C4⋊C4×C47—22no—
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—
464C22⋊C4×C47—22no—
465C22⋊C4×C47—22no—
466C22⋊C4×C47—22no—
467C22⋊C4×C47—22no—
468C22⋊C4×C47—22no—
469C22⋊C4×C47—22no—
470C22⋊C4×C47—22no—
471C22⋊C4×C47—22no—
472C22⋊C4×C47—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—22no—
484C22⋊C4×C47—22no—
485C22⋊C4×C47—22no—
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—
495C22⋊C4×C47—41no—
496C22⋊C4×C47—41no—
497C22⋊C4×C47—41no—
498C22⋊C4×C47—41no—
499C22⋊C4×C47—41no—
500C22⋊C4×C47—41no—
501C22⋊C4×C47—41no—
502C22⋊C4×C47—41no—
503C22⋊C4×C47—41no—
504C42×C47—22no—
505C42×C47—22no—
506C42×C47—22no—
507C42×C47—22no—
508C42×C47—22no—
509C42×C47—22no—
510C42×C47—22no—
511C42×C47—22no—
512C42×C47—41no—
513C42×C47—41no—
514C42×C47—41no—
515C42×C47—41no—
516C42×C47—41no—
517C42×C47—41no—
518C42×C47—41no—
519C42×C47—41no—
520C42×C47—41no—
521C42×C47—41no—
522C42×C47—41no—
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×C47—21no—
532C23×C47—21no—
533C23×C47—21no—
534C23×C47—21no—
535C23×C47—21no—
536C23×C47—21no—
537C23×C47—21no—
538C23×C47—21no—
539C23×C47—21no—
540C23×C47—21no—
541C23×C47—21no—
542C23×C47—21no—
543C23×C47—21no—
544C23×C47—21no—
545C23×C47—21no—
546C23×C47—21no—
547C23×C47—21no—
548C23×C47—21no—
549C23×C47C2×#4112yes—
550C23×C47C2×#4112yes—
551C23×C47C2511yescharacteristic
552Q8×C47—82no—
553Q8×C47—82no—
554D4×C47—28no—
555D4×C47—44no—
556D4×C47—44no—
557D4×C47—82no—
558D4×C47—82no—
559D4×C47—82no—
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—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—44no—
634C2×C4×C47—44no—
635C2×C4×C47—44no—
636C2×C4×C47—44no—
637C2×C4×C47—44no—
638C2×C4×C47—44no—
639C2×C4×C47—44no—
640C2×C4×C47—82no—
641C2×C4×C47C2×#4112yes—
642C2×C4×C47C2×#4112yes—
643C2×C4×C47C2×#4112yes—
644C2×C4×C47C2×#4112yes—
645C2×C4×C47C2×#4112yes—
646C2×C4×C47C2×#4112yes—
647C2×C4×C47C2×#4112yes—
648C2×C4×C47H(5,𝔽2)12yes—
649#35041C4711yesmaximal, characteristic, direct product factor, Sylow
650C22×C47—22no—
651C22×C47—22no—
652C22×C47—22no—
653C22×C47—22no—
654C22×C47—22no—
655C22×C47—22no—
656C22×C47—41no—
657C22×C47—41no—
658C22×C47—41no—
659C22×C47—41no—
660C22×C47—41no—
661C22×C47—41no—
662C22×C47—41no—
663C22×C47—41no—
664C22×C47—41no—
665C22×C47—41no—
666C22×C47—41no—
667C22×C47—41no—
668C22×C47—41no—
669C22×C47—41no—
670C22×C47—41no—
671C22×C47—41no—
672C22×C47—41no—
673C22×C47—41no—
674C22×C47—41no—
675C22×C47—41no—
676C22×C47—41no—
677C22×C47—41no—
678C22×C47C22×#4111yescharacteristic
679C22×C47C22×#4111yescharacteristic
680C22×C47C22×#4111yescharacteristic
681C22×C47C2×H(5,𝔽2)11yescharacteristic
682C22×C47#58511yescharacteristic
683C22×C47#58511yescharacteristic
684C22×C47#58511yescharacteristic
685C4×C47—22no—
686C4×C47—22no—
687C4×C47—22no—
688C4×C47—22no—
689C4×C47—22no—
690C4×C47—22no—
691C4×C47—22no—
692C4×C47—22no—
693C4×C47—41no—
694C4×C47—41no—
695C4×C47—41no—
696C4×C47—41no—
697C4×C47—41no—
698C4×C47—41no—
699C4×C47—41no—
700C4×C47—41no—
701C4×C47—41no—
702C4×C47—41no—
703C4×C47—41no—
704C4×C47—41no—
705C4×C47—41no—
706C4×C47—41no—
707C4×C47—41no—
708C4×C47—41no—
709C4×C47—41no—
710C4×C47—41no—
711C4×C47—41no—
712#2866C2×C4711yescharacteristic, complemented
713#2865C2×C4711yescharacteristic, complemented
714#2855C2×C4711yescharacteristic, complemented
715#2850C2×C4711yescharacteristic, complemented
716#2653C2×C4711yescharacteristic, complemented
717#2649C2×C4711yescharacteristic, complemented
718#2638C2×C4711yescharacteristic, complemented
719#2635C2×C4711yescharacteristic
720#2607C2×C4711yescharacteristic, complemented
721#2602C2×C4711yescharacteristic, complemented
722#2602C2×C4711yescharacteristic, complemented
723#2600C2×C4711yescharacteristic, complemented
724#2597C2×C4711yescharacteristic, complemented
725#2588C2×C4711yescharacteristic, complemented
726#2576C2×C4711yescharacteristic, complemented
727#2560C2×C4711yescharacteristic, complemented
728#2531C2×C4711yescharacteristic, complemented
729#2528C2×C4711yescharacteristic, complemented
730#2517C2×C4711yescharacteristic, complemented
731#2477C2×C4711yescharacteristic, complemented
732#2474C2×C4711yescharacteristic, complemented
733#2467C2×C4711yescharacteristic, complemented
734#2463C2×C4711yescharacteristic, complemented
735#2459C2×C4711yescharacteristic, complemented
736#2334C2×C4711yescharacteristic, complemented
737#2333C2×C4711yescharacteristic, complemented
738#2332C2×C4711yescharacteristic, complemented
739#2332C2×C4711yescharacteristic, complemented
740C4×#123C2×C4711yescharacteristic, complemented
741#2290C2×C4711yescharacteristic, complemented
742C42×D4C2×C4711yescharacteristic, complemented
743C2×C47—42no—
744C2×C47—42no—
745C2×C47—81no—
746C2×C47—81no—
747C2×C47#344411yescharacteristic
748C2×C47#345511yescharacteristic
749C2×C47#345911yescharacteristic
750C2×C47#350511yescharacteristic
751C2×C47#351011yescharacteristic
752C2×C47#351311yescharacteristic
753C2×C47#352411yescharacteristic
754C2×#126C22×C4711yescharacteristic
755C2×#124C22×C4711yescharacteristic
756C2×#123C22×C4711yescharacteristic
757C2×C22⋊Q8C22×C4711yescharacteristic
758C2×C22⋊Q8C22×C4711yescharacteristic
759C2×C22⋊Q8C22×C4711yescharacteristic
760C2×#121C22×C4711yescharacteristic
761C2×C4×D4C22×C4711yescharacteristic
762C2×C4×D4C22×C4711yescharacteristic
763C2×C4×D4C22×C4711yescharacteristic
764C2×C4×D4C22×C4711yescharacteristic
765C2×C4×D4C22×C4711yescharacteristic
766C2×#117C22×C4711yescharacteristic
767C22×C42C22×C4711yescharacteristic
768C22×C42C22×C4711yescharacteristic
769#401C22×C4711yescharacteristic
770#400C22×C4711yescharacteristic
771#400C22×C4711yescharacteristic
772#400C22×C4711yescharacteristic
773#399C22×C4711yescharacteristic
774#399C22×C4711yescharacteristic
775#398C22×C4711yescharacteristic
776#398C22×C4711yescharacteristic
777#397C22×C4711yescharacteristic
778#397C22×C4711yescharacteristic
779#397C22×C4711yescharacteristic
780#397C22×C4711yescharacteristic
781#397C22×C4711yescharacteristic
782#397C22×C4711yescharacteristic
783#397C22×C4711yescharacteristic
784#396C22×C4711yescharacteristic
785#395C22×C4711yescharacteristic
786#394C22×C4711yescharacteristic
787#394C22×C4711yescharacteristic
788#394C22×C4711yescharacteristic
789#394C22×C4711yescharacteristic
790#394C22×C4711yescharacteristic
791#394C22×C4711yescharacteristic
792#394C22×C4711yescharacteristic
793#394C22×C4711yescharacteristic
794#394C22×C4711yescharacteristic
795#393C22×C4711yescharacteristic
796#393C22×C4711yescharacteristic
797#393C22×C4711yescharacteristic
798#392C22×C4711yescharacteristic
799#392C22×C4711yescharacteristic
800#392C22×C4711yescharacteristic
801#391C22×C4711yescharacteristic
802#391C22×C4711yescharacteristic
803#391C22×C4711yescharacteristic
804#391C22×C4711yescharacteristic
805#391C22×C4711yescharacteristic
806#391C22×C4711yescharacteristic
807#390C22×C4711yescharacteristic
808#390C22×C4711yescharacteristic
809#390C22×C4711yescharacteristic
810#389C22×C4711yescharacteristic
811#389C22×C4711yescharacteristic
812#389C22×C4711yescharacteristic
813#388C22×C4711yescharacteristic
814#388C22×C4711yescharacteristic
815#388C22×C4711yescharacteristic
816#388C22×C4711yescharacteristic
817#388C22×C4711yescharacteristic
818#388C22×C4711yescharacteristic
819#388C22×C4711yescharacteristic
820#388C22×C4711yescharacteristic
821#388C22×C4711yescharacteristic
822#388C22×C4711yescharacteristic
823#388C22×C4711yescharacteristic
824#388C22×C4711yescharacteristic
825#388C22×C4711yescharacteristic
826#388C22×C4711yescharacteristic
827#388C22×C4711yescharacteristic
828#388C22×C4711yescharacteristic
829#388C22×C4711yescharacteristic
830#388C22×C4711yescharacteristic
831#388C22×C4711yescharacteristic
832#388C22×C4711yescharacteristic
833#388C22×C4711yescharacteristic
834#388C22×C4711yescharacteristic
835#388C22×C4711yescharacteristic
836#388C22×C4711yescharacteristic
837#388C22×C4711yescharacteristic
838#387C22×C4711yescharacteristic
839#387C22×C4711yescharacteristic
840#387C22×C4711yescharacteristic
841#387C22×C4711yescharacteristic
842#387C22×C4711yescharacteristic
843#387C22×C4711yescharacteristic
844#387C22×C4711yescharacteristic
845#387C22×C4711yescharacteristic
846#387C22×C4711yescharacteristic
847#387C22×C4711yescharacteristic
848#387C22×C4711yescharacteristic
849#387C22×C4711yescharacteristic
850#387C22×C4711yescharacteristic
851#387C22×C4711yescharacteristic
852#387C22×C4711yescharacteristic
853#387C22×C4711yescharacteristic
854#387C22×C4711yescharacteristic
855#387C22×C4711yescharacteristic
856#387C22×C4711yescharacteristic
857#387C22×C4711yescharacteristic
858#387C22×C4711yescharacteristic
859#387C22×C4711yescharacteristic
860#387C22×C4711yescharacteristic
861#387C22×C4711yescharacteristic
862#387C22×C4711yescharacteristic
863#387C22×C4711yescharacteristic
864#387C22×C4711yescharacteristic
865#386C22×C4711yescharacteristic
866#386C22×C4711yescharacteristic
867#386C22×C4711yescharacteristic
868#386C22×C4711yescharacteristic
869#386C22×C4711yescharacteristic
870#386C22×C4711yescharacteristic
871#386C22×C4711yescharacteristic
872#386C22×C4711yescharacteristic
873#386C22×C4711yescharacteristic
874#386C22×C4711yescharacteristic
875#386C22×C4711yescharacteristic
876#385C22×C4711yescharacteristic
877#385C22×C4711yescharacteristic
878#385C22×C4711yescharacteristic
879#385C22×C4711yescharacteristic
880#385C22×C4711yescharacteristic
881#385C22×C4711yescharacteristic
882#385C22×C4711yescharacteristic
883#382C22×C4711yescharacteristic
884#382C22×C4711yescharacteristic
885#381C22×C4711yescharacteristic
886#381C22×C4711yescharacteristic
887#381C22×C4711yescharacteristic
888#381C22×C4711yescharacteristic
889#380C22×C4711yescharacteristic
890C4×C4⋊C4C22×C4711yescharacteristic
891C4×C4⋊C4C22×C4711yescharacteristic
892C4×C4⋊C4C22×C4711yescharacteristic
893C4×C4⋊C4C22×C4711yescharacteristic
894C4×C4⋊C4C22×C4711yescharacteristic
895C4×C4⋊C4C22×C4711yescharacteristic
896C4×C22⋊C4C22×C4711yescharacteristic
897C4×C22⋊C4C22×C4711yescharacteristic
898C4×C22⋊C4C22×C4711yescharacteristic
899C4×C22⋊C4C22×C4711yescharacteristic
900C4×C22⋊C4C22×C4711yescharacteristic
901C4×C22⋊C4C22×C4711yescharacteristic
902C4×C22⋊C4C22×C4711yescharacteristic
903C4×C22⋊C4C22×C4711yescharacteristic
904C4×C22⋊C4C22×C4711yescharacteristic
905C4×C22⋊C4C22×C4711yescharacteristic
906C4×C22⋊C4C22×C4711yescharacteristic
907#376C22×C4711yescharacteristic
908C43C22×C4711yescharacteristic
909C47#3504111yescharacteristic, direct product factor, Sylow
910C22×Q8C23×C4711yescharacteristic
911C22×Q8C23×C4711yescharacteristic
912C22×D4C23×C4711yescharacteristic
913C22×D4C23×C4711yescharacteristic
914C22×D4C23×C4711yescharacteristic
915C22×D4C23×C4711yescharacteristic
916C22×D4C23×C4711yescharacteristic
917C22×D4C23×C4711yescharacteristic
918C23×C4C23×C4711yescharacteristic
919C23×C4C23×C4711yescharacteristic
920C23×C4C23×C4711yescharacteristic
921C23×C4C23×C4711yescharacteristic
922C23×C4C23×C4711yescharacteristic
923C23×C4C23×C4711yescharacteristic
924C23×C4C23×C4711yescharacteristic
925C23×C4C23×C4711yescharacteristic
926#126—24no—
927#124—42no—
928#123—24no—
929C22⋊Q8—24no—
930C22⋊Q8—24no—
931C22⋊Q8—42no—
932#121—24no—
933C4×D4—24no—
934C4×D4—24no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—42no—
938#117—42no—
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×C4⋊C4C23×C4711yescharacteristic
950C2×C4⋊C4C23×C4711yescharacteristic
951C2×C4⋊C4C23×C4711yescharacteristic
952C2×C4⋊C4C23×C4711yescharacteristic
953C2×C4⋊C4C23×C4711yescharacteristic
954C2×C4⋊C4C23×C4711yescharacteristic
955C2×C4⋊C4C23×C4711yescharacteristic
956C2×C4⋊C4C23×C4711yescharacteristic
957C2×C4⋊C4C23×C4711yescharacteristic
958C2×C4⋊C4C23×C4711yescharacteristic
959C2×C4⋊C4C23×C4711yescharacteristic
960C2×C4⋊C4C23×C4711yescharacteristic
961C2×C4⋊C4C23×C4711yescharacteristic
962C2×C4⋊C4C23×C4711yescharacteristic
963C2×C4⋊C4C23×C4711yescharacteristic
964C2×C4⋊C4C23×C4711yescharacteristic
965C2×C4⋊C4C23×C4711yescharacteristic
966C2×C4⋊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×C22⋊C4C23×C4711yescharacteristic
980C2×C22⋊C4C23×C4711yescharacteristic
981C2×C22⋊C4C23×C4711yescharacteristic
982C2×C22⋊C4C23×C4711yescharacteristic
983C2×C22⋊C4C23×C4711yescharacteristic
984C2×C22⋊C4C23×C4711yescharacteristic
985C2×C22⋊C4C23×C4711yescharacteristic
986C2×C22⋊C4C23×C4711yescharacteristic
987C2×C22⋊C4C23×C4711yescharacteristic
988C2×C22⋊C4C23×C4711yescharacteristic
989C2×C22⋊C4C23×C4711yescharacteristic
990C2×C22⋊C4C23×C4711yescharacteristic
991C2×C22⋊C4C23×C4711yescharacteristic
992C2×C22⋊C4C23×C4711yescharacteristic
993C2×C22⋊C4C23×C4711yescharacteristic
994C2×C22⋊C4C23×C4711yescharacteristic
995C2×C22⋊C4C23×C4711yescharacteristic
996C2×C22⋊C4C23×C4711yescharacteristic
997C2×C22⋊C4C23×C4711yescharacteristic
998C2×C22⋊C4C23×C4711yescharacteristic
999C2×C22⋊C4C23×C4711yescharacteristic
1000C2×C22⋊C4C23×C4711yescharacteristic
1001C2×C22⋊C4C23×C4711yescharacteristic
1002C2×C22⋊C4C23×C4711yescharacteristic
1003C2×C22⋊C4C23×C4711yescharacteristic
1004C2×C22⋊C4C23×C4711yescharacteristic
1005C2×C22⋊C4C23×C4711yescharacteristic
1006C2×C22⋊C4C23×C4711yescharacteristic
1007C2×C42—42no—
1008C2×C42—42no—
1009C2×C42C23×C4711yescharacteristic
1010C2×C42C23×C4711yescharacteristic
1011C2×C42C23×C4711yescharacteristic
1012C2×C42C23×C4711yescharacteristic
1013C2×C42C23×C4711yescharacteristic
1014C2×C42C23×C4711yescharacteristic
1015C2×C42C23×C4711yescharacteristic
1016C2×C42C23×C4711yescharacteristic
1017C2×C42C23×C4711yescharacteristic
1018C2×C42C23×C4711yescharacteristic
1019C2×C42C23×C4711yescharacteristic
1020C2×C42C23×C4711yescharacteristic
1021C2×C42C23×C4711yescharacteristic
1022C2×C42C23×C4711yescharacteristic
1023C2×C42C23×C4711yescharacteristic
1024C2×C42C23×C4711yescharacteristic
1025C2×C42C23×C4711yescharacteristic
1026C2×C42C23×C4711yescharacteristic
1027C2×C42C23×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
1056#95C23×C4711yescharacteristic
1057#95C23×C4711yescharacteristic
1058#95C23×C4711yescharacteristic
1059#95C23×C4711yescharacteristic
1060#95C23×C4711yescharacteristic
1061#95C23×C4711yescharacteristic
1062#95C23×C4711yescharacteristic
1063#95C23×C4711yescharacteristic
1064#95C23×C4711yescharacteristic
1065#95C23×C4711yescharacteristic
1066#95C23×C4711yescharacteristic
1067#95C23×C4711yescharacteristic
1068#95C23×C4711yescharacteristic
1069#95C23×C4711yescharacteristic
1070#95C23×C4711yescharacteristic
1071#95C23×C4711yescharacteristic
1072#95C23×C4711yescharacteristic
1073#95C23×C4711yescharacteristic
1074#95C23×C4711yescharacteristic
1075#95C23×C4711yescharacteristic
1076#95C23×C4711yescharacteristic
1077#95C23×C4711yescharacteristic
1078#95C23×C4711yescharacteristic
1079#95C23×C4711yescharacteristic
1080C24C24×C4711yescharacteristic
1081C24C24×C4711yescharacteristic
1082C24C24×C4711yescharacteristic
1083C24C24×C4711yescharacteristic
1084C2×Q8—22no—
1085C2×Q8—22no—
1086C2×Q8—41no—
1087C2×Q8—41no—
1088C2×Q8—41no—
1089C2×Q8—41no—
1090C2×D4—22no—
1091C2×D4—22no—
1092C2×D4—22no—
1093C2×D4—22no—
1094C2×D4—22no—
1095C2×D4—22no—
1096C2×D4—22no—
1097C2×D4—22no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4#41×C4714yes—
1131C22×C4#41×C4714yes—
1132C22×C4C24×C4711yescharacteristic
1133C22×C4C24×C4711yescharacteristic
1134C22×C4C24×C4711yescharacteristic
1135C22×C4C24×C4711yescharacteristic
1136C22×C4C24×C4711yescharacteristic
1137C22×C4C24×C4711yescharacteristic
1138C22×C4C24×C4711yescharacteristic
1139C22×C4C24×C4711yescharacteristic
1140C22×C4C24×C4711yescharacteristic
1141C22×C4C24×C4711yescharacteristic
1142C22×C4C24×C4711yescharacteristic
1143C22×C4C24×C4711yescharacteristic
1144C22×C4C24×C4711yescharacteristic
1145C22×C4C24×C4711yescharacteristic
1146C22×C4C24×C4711yescharacteristic
1147C22×C4C24×C4711yescharacteristic
1148C22×C4C24×C4711yescharacteristic
1149C22×C4C24×C4711yescharacteristic
1150C22×C4C24×C4711yescharacteristic
1151C22×C4C24×C4711yescharacteristic
1152C22×C4C24×C4711yescharacteristic
1153C22×C4C24×C4711yescharacteristic
1154C22×C4C24×C4711yescharacteristic
1155C22×C4C24×C4711yescharacteristic
1156C22×C4C24×C4711yescharacteristic
1157C22×C4C24×C4711yescharacteristic
1158C22×C4C24×C4711yescharacteristic
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—22no—
1162C4⋊C4—22no—
1163C4⋊C4—22no—
1164C4⋊C4—22no—
1165C4⋊C4—22no—
1166C4⋊C4—22no—
1167C4⋊C4—22no—
1168C4⋊C4—22no—
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—22no—
1172C4⋊C4—22no—
1173C4⋊C4—22no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4#41×C4714yes—
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—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—41no—
1210C22⋊C4—41no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C42—22no—
1228C42—22no—
1229C42—22no—
1230C42—22no—
1231C42—22no—
1232C42—22no—
1233C42—22no—
1234C42—22no—
1235C42—41no—
1236C42—41no—
1237C42—41no—
1238C42—41no—
1239C42—41no—
1240C42—41no—
1241C42—41no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23C2×#41×C4712yes—
1273C23C2×#41×C4712yes—
1274C23C25×C4711yescharacteristic
1275Q8—82no—
1276Q8—82no—
1277D4—28no—
1278D4—44no—
1279D4—44no—
1280D4—82no—
1281D4—82no—
1282D4—82no—
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—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—44no—
1357C2×C4—44no—
1358C2×C4—44no—
1359C2×C4—44no—
1360C2×C4—44no—
1361C2×C4—44no—
1362C2×C4—44no—
1363C2×C4—82no—
1364C2×C4C2×#41×C4712yes—
1365C2×C4C2×#41×C4712yes—
1366C2×C4C2×#41×C4712yes—
1367C2×C4C2×#41×C4712yes—
1368C2×C4C2×#41×C4712yes—
1369C2×C4C2×#41×C4712yes—
1370C2×C4C2×#41×C4712yes—
1371C2×C4H(5,𝔽2)×C4712yes—
1372C22—22no—
1373C22—22no—
1374C22—22no—
1375C22—22no—
1376C22—22no—
1377C22—22no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22C22×#41×C4711yescharacteristic
1401C22C22×#41×C4711yescharacteristic
1402C22C22×#41×C4711yescharacteristic
1403C22C2×H(5,𝔽2)×C4711yescharacteristic
1404C22C47×#58511yescharacteristic
1405C22C47×#58511yescharacteristic
1406C22C47×#58511yescharacteristic
1407C4—22no—
1408C4—22no—
1409C4—22no—
1410C4—22no—
1411C4—22no—
1412C4—22no—
1413C4—22no—
1414C4—22no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C2—42no—
1435C2—42no—
1436C2—81no—
1437C2—81no—
1438C2C47×#344411yescharacteristic
1439C2C47×#345511yescharacteristic
1440C2C47×#345911yescharacteristic
1441C2C47×#350511yescharacteristic
1442C2C47×#351011yescharacteristic
1443C2C47×#351311yescharacteristic
1444C2C47×#352411yescharacteristic
subgroupG/H
center, socleC23×C47C25
commutator, Frattini, cosocleC23C25×C47
prime radicalC47×#2635C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#2866C2semidirect
2. C47×#2865C2semidirect
3. C47×#2855C2semidirect
4. C47×#2850C2semidirect
5. C47×#2653C2semidirect
6. C47×#2649C2semidirect
7. C47×#2638C2semidirect
9. C47×#2607C2semidirect
10. C47×#2602C2semidirect
11. C47×#2602C2semidirect
12. C47×#2600C2semidirect
13. C47×#2597C2semidirect
14. C47×#2588C2semidirect
15. C47×#2576C2semidirect
16. C47×#2560C2semidirect
17. C47×#2531C2semidirect
18. C47×#2528C2semidirect
19. C47×#2517C2semidirect
20. C47×#2477C2semidirect
21. C47×#2474C2semidirect
22. C47×#2467C2semidirect
23. C47×#2463C2semidirect
24. C47×#2459C2semidirect
25. C47×#2334C2semidirect
26. C47×#2333C2semidirect
27. C47×#2332C2semidirect
28. C47×#2332C2semidirect
29. C4×#123×C47C2semidirect
30. C47×#2290C2semidirect
31. C42×D4×C47C2semidirect
649. #35041C47direct (N × H)
712. #2866C2×C47semidirect
713. #2865C2×C47semidirect
714. #2855C2×C47semidirect
715. #2850C2×C47semidirect
716. #2653C2×C47semidirect
717. #2649C2×C47semidirect
718. #2638C2×C47semidirect
720. #2607C2×C47semidirect
721. #2602C2×C47semidirect
722. #2602C2×C47semidirect
723. #2600C2×C47semidirect
724. #2597C2×C47semidirect
725. #2588C2×C47semidirect
726. #2576C2×C47semidirect
727. #2560C2×C47semidirect
728. #2531C2×C47semidirect
729. #2528C2×C47semidirect
730. #2517C2×C47semidirect
731. #2477C2×C47semidirect
732. #2474C2×C47semidirect
733. #2467C2×C47semidirect
734. #2463C2×C47semidirect
735. #2459C2×C47semidirect
736. #2334C2×C47semidirect
737. #2333C2×C47semidirect
738. #2332C2×C47semidirect
739. #2332C2×C47semidirect
740. C4×#123C2×C47semidirect
741. #2290C2×C47semidirect
742. C42×D4C2×C47semidirect
909. C47#35041direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#28662
C47×#28652
C47×#28552
C47×#28502
C47×#26532
C47×#26492
C47×#26382
C47×#26352
C47×#26072
C47×#26022
C47×#26002
C47×#25972
C47×#25882
C47×#25762
C47×#25602
C47×#25312
C47×#25282
C47×#25172
C47×#24772
C47×#24742
C47×#24672
C47×#24632
C47×#24592
C47×#23342
C47×#23332
C47×#23322
C4×#123×C472
C47×#22902
C42×D4×C472
#3504147