Finite Group Databasebeta

← C47×#34592 #26074290

Subgroups — C47×#34592 #26074290

Order 12032.

1752 conjugacy classes of subgroups.

The subgroup lattice has 1394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#2667C211yesmaximal, characteristic, complemented
2C47×#2666C211yesmaximal, characteristic, complemented
3C47×#2664C211yesmaximal, characteristic, complemented
4C47×#2663C211yesmaximal, characteristic, complemented
5C47×#2655C211yesmaximal, characteristic, complemented
6C47×#2654C211yesmaximal, characteristic, complemented
7C47×#2653C211yesmaximal, characteristic, complemented
8C47×#2652C211yesmaximal, characteristic, complemented
9C47×#2652C211yesmaximal, characteristic, complemented
10C47×#2652C211yesmaximal, characteristic, complemented
11C47×#2649C211yesmaximal, characteristic, complemented
12C47×#2649C211yesmaximal, characteristic, complemented
13C47×#2638C211yesmaximal, characteristic, complemented
14C47×#2636C211yesmaximal, characteristic
15C47×#2633C211yesmaximal, characteristic, complemented
16C47×#2630C211yesmaximal, characteristic
17C47×#2402C211yesmaximal, characteristic, complemented
18C47×#2401C211yesmaximal, characteristic, complemented
19C47×#2396C211yesmaximal, characteristic, complemented
20C47×#2396C211yesmaximal, characteristic, complemented
21C47×#2395C211yesmaximal, characteristic, complemented
22C47×#2395C211yesmaximal, characteristic, complemented
23C47×#2395C211yesmaximal, characteristic, complemented
24C47×#2392C211yesmaximal, characteristic
25C4×#125×C47C211yesmaximal, characteristic, complemented
26C4×#126×C47C211yesmaximal, characteristic, complemented
27C4×C22⋊Q8×C47C211yesmaximal, characteristic, complemented
28C4×#123×C47C211yesmaximal, characteristic, complemented
29C47×#2296C211yesmaximal, characteristic, complemented
30C47×#2290C211yesmaximal, characteristic, complemented
31C42×D4×C47C211yesmaximal, characteristic, complemented
32C2×#126×C47C2211yescharacteristic
33C2×#125×C47C2211yescharacteristic
34C2×#123×C47C2211yescharacteristic
35C2×C22⋊Q8×C47C2211yescharacteristic
36C2×C4×Q8×C47C2211yescharacteristic
37C2×C4×D4×C47C2211yescharacteristic
38C2×C4×D4×C47C2211yescharacteristic
39C2×C4×D4×C47C2211yescharacteristic
40C2×C4×D4×C47C2211yescharacteristic
41C2×C4×D4×C47C2211yescharacteristic
42C2×#117×C47C2211yescharacteristic
43C2×#117×C47C2211yescharacteristic
44C2×#117×C47C2211yescharacteristic
45C22×C42×C47C2211yescharacteristic
46C22×C42×C47C2211yescharacteristic
47C47×#401C2211yescharacteristic
48C47×#400C2211yescharacteristic
49C47×#400C2211yescharacteristic
50C47×#400C2211yescharacteristic
51C47×#400C2211yescharacteristic
52C47×#400C2211yescharacteristic
53C47×#400C2211yescharacteristic
54C47×#400C2211yescharacteristic
55C47×#400C2211yescharacteristic
56C47×#400C2211yescharacteristic
57C47×#400C2211yescharacteristic
58C47×#400C2211yescharacteristic
59C47×#400C2211yescharacteristic
60C47×#399C2211yescharacteristic
61C47×#399C2211yescharacteristic
62C47×#399C2211yescharacteristic
63C47×#399C2211yescharacteristic
64C47×#399C2211yescharacteristic
65C47×#398C2211yescharacteristic
66C47×#398C2211yescharacteristic
67C47×#398C2211yescharacteristic
68C47×#398C2211yescharacteristic
69C47×#398C2211yescharacteristic
70C47×#398C2211yescharacteristic
71C47×#398C2211yescharacteristic
72C47×#398C2211yescharacteristic
73C47×#398C2211yescharacteristic
74C47×#398C2211yescharacteristic
75C47×#398C2211yescharacteristic
76C47×#398C2211yescharacteristic
77C47×#397C2211yescharacteristic
78C47×#397C2211yescharacteristic
79C47×#397C2211yescharacteristic
80C47×#397C2211yescharacteristic
81C47×#397C2211yescharacteristic
82C47×#397C2211yescharacteristic
83C47×#397C2211yescharacteristic
84C47×#397C2211yescharacteristic
85C47×#397C2211yescharacteristic
86C47×#397C2211yescharacteristic
87C47×#397C2211yescharacteristic
88C47×#397C2211yescharacteristic
89C47×#397C2211yescharacteristic
90C47×#396C2211yescharacteristic
91C47×#396C2211yescharacteristic
92C47×#396C2211yescharacteristic
93C47×#396C2211yescharacteristic
94C47×#396C2211yescharacteristic
95C47×#396C2211yescharacteristic
96C47×#396C2211yescharacteristic
97C47×#395C2211yescharacteristic
98C47×#395C2211yescharacteristic
99C47×#394C2211yescharacteristic
100C47×#394C2211yescharacteristic
101C47×#394C2211yescharacteristic
102C47×#394C2211yescharacteristic
103C47×#394C2211yescharacteristic
104C47×#394C2211yescharacteristic
105C47×#394C2211yescharacteristic
106C47×#394C2211yescharacteristic
107C47×#394C2211yescharacteristic
108C47×#393C2211yescharacteristic
109C47×#393C2211yescharacteristic
110C47×#392C2211yescharacteristic
111C47×#391C2211yescharacteristic
112C47×#389C2211yescharacteristic
113C47×#389C2211yescharacteristic
114C47×#389C2211yescharacteristic
115C47×#389C2211yescharacteristic
116C47×#389C2211yescharacteristic
117C47×#389C2211yescharacteristic
118C47×#389C2211yescharacteristic
119C47×#388C2211yescharacteristic
120C47×#388C2211yescharacteristic
121C47×#388C2211yescharacteristic
122C47×#388C2211yescharacteristic
123C47×#388C2211yescharacteristic
124C47×#388C2211yescharacteristic
125C47×#388C2211yescharacteristic
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×#385C2211yescharacteristic
143C47×#385C2211yescharacteristic
144C47×#385C2211yescharacteristic
145C47×#385C2211yescharacteristic
146C47×#385C2211yescharacteristic
147C47×#385C2211yescharacteristic
148C47×#385C2211yescharacteristic
149C47×#385C2211yescharacteristic
150C47×#385C2211yescharacteristic
151C47×#383C2211yescharacteristic
152C47×#382C2211yescharacteristic
153C47×#381C2211yescharacteristic
154C47×#380C2211yescharacteristic
155C4×C4⋊C4×C47C2211yescharacteristic
156C4×C4⋊C4×C47C2211yescharacteristic
157C4×C4⋊C4×C47C2211yescharacteristic
158C4×C4⋊C4×C47C2211yescharacteristic
159C4×C4⋊C4×C47C2211yescharacteristic
160C4×C4⋊C4×C47C2211yescharacteristic
161C4×C4⋊C4×C47C2211yescharacteristic
162C4×C4⋊C4×C47C2211yescharacteristic
163C4×C4⋊C4×C47C2211yescharacteristic
164C4×C4⋊C4×C47C2211yescharacteristic
165C4×C4⋊C4×C47C2211yescharacteristic
166C4×C4⋊C4×C47C2211yescharacteristic
167C4×C4⋊C4×C47C2211yescharacteristic
168C4×C4⋊C4×C47C2211yescharacteristic
169C4×C4⋊C4×C47C2211yescharacteristic
170C4×C4⋊C4×C47C2211yescharacteristic
171C4×C22⋊C4×C47C2211yescharacteristic
172C4×C22⋊C4×C47C2211yescharacteristic
173C4×C22⋊C4×C47C2211yescharacteristic
174C4×C22⋊C4×C47C2211yescharacteristic
175C4×C22⋊C4×C47C2211yescharacteristic
176C4×C22⋊C4×C47C2211yescharacteristic
177C4×C22⋊C4×C47C2211yescharacteristic
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×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
198#126×C47—24no—
199#125×C47—24no—
200#123×C47—24no—
201C22⋊Q8×C47—24no—
202C4×Q8×C47—42no—
203C4×D4×C47—24no—
204C4×D4×C47—24no—
205C4×D4×C47—24no—
206C4×D4×C47—24no—
207C4×D4×C47—42no—
208#117×C47—24no—
209#117×C47—42no—
210#117×C47—42no—
211C2×C4⋊C4×C47C2311yescharacteristic
212C2×C4⋊C4×C47C2311yescharacteristic
213C2×C4⋊C4×C47C2311yescharacteristic
214C2×C4⋊C4×C47C2311yescharacteristic
215C2×C4⋊C4×C47C2311yescharacteristic
216C2×C4⋊C4×C47C2311yescharacteristic
217C2×C4⋊C4×C47C2311yescharacteristic
218C2×C4⋊C4×C47C2311yescharacteristic
219C2×C4⋊C4×C47C2311yescharacteristic
220C2×C4⋊C4×C47C2311yescharacteristic
221C2×C4⋊C4×C47C2311yescharacteristic
222C2×C4⋊C4×C47C2311yescharacteristic
223C2×C4⋊C4×C47C2311yescharacteristic
224C2×C4⋊C4×C47C2311yescharacteristic
225C2×C4⋊C4×C47C2311yescharacteristic
226C2×C4⋊C4×C47C2311yescharacteristic
227C2×C4⋊C4×C47C2311yescharacteristic
228C2×C4⋊C4×C47C2311yescharacteristic
229C2×C4⋊C4×C47C2311yescharacteristic
230C2×C4⋊C4×C47C2311yescharacteristic
231C2×C4⋊C4×C47C2311yescharacteristic
232C2×C4⋊C4×C47C2311yescharacteristic
233C2×C4⋊C4×C47C2311yescharacteristic
234C2×C4⋊C4×C47C2311yescharacteristic
235C2×C4⋊C4×C47C2311yescharacteristic
236C2×C4⋊C4×C47C2311yescharacteristic
237C2×C4⋊C4×C47C2311yescharacteristic
238C2×C4⋊C4×C47C2311yescharacteristic
239C2×C4⋊C4×C47C2311yescharacteristic
240C2×C4⋊C4×C47C2311yescharacteristic
241C2×C4⋊C4×C47C2311yescharacteristic
242C2×C4⋊C4×C47C2311yescharacteristic
243C2×C4⋊C4×C47C2311yescharacteristic
244C2×C4⋊C4×C47C2311yescharacteristic
245C2×C4⋊C4×C47C2311yescharacteristic
246C2×C4⋊C4×C47C2311yescharacteristic
247C2×C4⋊C4×C47C2311yescharacteristic
248C2×C4⋊C4×C47C2311yescharacteristic
249C2×C4⋊C4×C47C2311yescharacteristic
250C2×C4⋊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×C42×C47—42no—
284C2×C42×C47—42no—
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
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
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—41no—
369C2×D4×C47—41no—
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—41no—
384C22×C4×C47—41no—
385C22×C4×C47—41no—
386C22×C4×C47—41no—
387C22×C4×C47—41no—
388C22×C4×C47—41no—
389C22×C4×C47—41no—
390C22×C4×C47—41no—
391C22×C4×C47#4114yes—
392C22×C4×C47#4114yes—
393C22×C4×C47C2411yescharacteristic
394C22×C4×C47C2411yescharacteristic
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C4⋊C4×C47—22no—
422C4⋊C4×C47—22no—
423C4⋊C4×C47—22no—
424C4⋊C4×C47—22no—
425C4⋊C4×C47—22no—
426C4⋊C4×C47—22no—
427C4⋊C4×C47—22no—
428C4⋊C4×C47—22no—
429C4⋊C4×C47—22no—
430C4⋊C4×C47—22no—
431C4⋊C4×C47—22no—
432C4⋊C4×C47—22no—
433C4⋊C4×C47—22no—
434C4⋊C4×C47—22no—
435C4⋊C4×C47—22no—
436C4⋊C4×C47—22no—
437C4⋊C4×C47—22no—
438C4⋊C4×C47—22no—
439C4⋊C4×C47—22no—
440C4⋊C4×C47—22no—
441C4⋊C4×C47—41no—
442C4⋊C4×C47—41no—
443C4⋊C4×C47—41no—
444C4⋊C4×C47—41no—
445C4⋊C4×C47—41no—
446C4⋊C4×C47—41no—
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—
461C22⋊C4×C47—22no—
462C22⋊C4×C47—22no—
463C22⋊C4×C47—22no—
464C22⋊C4×C47—22no—
465C22⋊C4×C47—22no—
466C22⋊C4×C47—22no—
467C22⋊C4×C47—22no—
468C22⋊C4×C47—22no—
469C22⋊C4×C47—22no—
470C22⋊C4×C47—22no—
471C22⋊C4×C47—22no—
472C22⋊C4×C47—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—41no—
480C22⋊C4×C47—41no—
481C22⋊C4×C47—41no—
482C22⋊C4×C47—41no—
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—
493C42×C47—22no—
494C42×C47—22no—
495C42×C47—22no—
496C42×C47—22no—
497C42×C47—22no—
498C42×C47—22no—
499C42×C47—22no—
500C42×C47—22no—
501C42×C47—22no—
502C42×C47—22no—
503C42×C47—22no—
504C42×C47—22no—
505C42×C47—22no—
506C42×C47—41no—
507C42×C47—41no—
508C42×C47—41no—
509C42×C47—41no—
510C42×C47—41no—
511C42×C47—41no—
512C42×C47#4114yes—
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×C47—21no—
532C23×C47C2×#4112yes—
533C23×C47C2×#4112yes—
534C23×C47C2511yescharacteristic
535Q8×C47—44no—
536D4×C47—28no—
537D4×C47—44no—
538D4×C47—44no—
539C2×C4×C47—21no—
540C2×C4×C47—21no—
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—28no—
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—44no—
616C2×C4×C47—44no—
617C2×C4×C47—44no—
618C2×C4×C47—44no—
619C2×C4×C47—44no—
620C2×C4×C47—44no—
621C2×C4×C47C2×#4112yes—
622C2×C4×C47C2×#4112yes—
623C2×C4×C47C2×#4112yes—
624C2×C4×C47C2×#4112yes—
625C2×C4×C47C2×#4112yes—
626C2×C4×C47C2×#4112yes—
627C2×C4×C47C2×#4112yes—
628C2×C4×C47H(5,𝔽2)12yes—
629C2×C4×C472−1+412yes—
630#34592C4711yesmaximal, characteristic, direct product factor, Sylow
631C22×C47—22no—
632C22×C47—22no—
633C22×C47—22no—
634C22×C47—22no—
635C22×C47—22no—
636C22×C47—22no—
637C22×C47—41no—
638C22×C47—41no—
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×C47C22×#4111yescharacteristic
653C22×C47C22×#4111yescharacteristic
654C22×C47C22×#4111yescharacteristic
655C22×C47C2×H(5,𝔽2)11yescharacteristic
656C22×C47C2×2−1+411yescharacteristic
657C22×C47#58511yescharacteristic
658C22×C47#58511yescharacteristic
659C4×C47—22no—
660C4×C47—22no—
661C4×C47—22no—
662C4×C47—22no—
663C4×C47—22no—
664C4×C47—22no—
665C4×C47—41no—
666C4×C47—41no—
667C4×C47—41no—
668C4×C47—41no—
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#53914yes—
687#2667C2×C4711yescharacteristic, complemented
688#2666C2×C4711yescharacteristic, complemented
689#2664C2×C4711yescharacteristic, complemented
690#2663C2×C4711yescharacteristic, complemented
691#2655C2×C4711yescharacteristic, complemented
692#2654C2×C4711yescharacteristic, complemented
693#2653C2×C4711yescharacteristic, complemented
694#2652C2×C4711yescharacteristic, complemented
695#2652C2×C4711yescharacteristic, complemented
696#2652C2×C4711yescharacteristic, complemented
697#2649C2×C4711yescharacteristic, complemented
698#2649C2×C4711yescharacteristic, complemented
699#2638C2×C4711yescharacteristic, complemented
700#2636C2×C4711yescharacteristic
701#2633C2×C4711yescharacteristic, complemented
702#2630C2×C4711yescharacteristic
703#2402C2×C4711yescharacteristic, complemented
704#2401C2×C4711yescharacteristic, complemented
705#2396C2×C4711yescharacteristic, complemented
706#2396C2×C4711yescharacteristic, complemented
707#2395C2×C4711yescharacteristic, complemented
708#2395C2×C4711yescharacteristic, complemented
709#2395C2×C4711yescharacteristic, complemented
710#2392C2×C4711yescharacteristic
711C4×#125C2×C4711yescharacteristic, complemented
712C4×#126C2×C4711yescharacteristic, complemented
713C4×C22⋊Q8C2×C4711yescharacteristic, complemented
714C4×#123C2×C4711yescharacteristic, complemented
715#2296C2×C4711yescharacteristic, complemented
716#2290C2×C4711yescharacteristic, complemented
717C42×D4C2×C4711yescharacteristic, complemented
718C2×C47—42no—
719C2×C47—42no—
720C2×C47—81no—
721C2×C47#344411yescharacteristic
722C2×C47C2×#53911yescharacteristic
723C2×C47#345511yescharacteristic
724C2×C47#345911yescharacteristic
725C2×C47#346011yescharacteristic
726C2×C47#346111yescharacteristic
727C2×C47#346111yescharacteristic
728C2×#126C22×C4711yescharacteristic
729C2×#125C22×C4711yescharacteristic
730C2×#123C22×C4711yescharacteristic
731C2×C22⋊Q8C22×C4711yescharacteristic
732C2×C4×Q8C22×C4711yescharacteristic
733C2×C4×D4C22×C4711yescharacteristic
734C2×C4×D4C22×C4711yescharacteristic
735C2×C4×D4C22×C4711yescharacteristic
736C2×C4×D4C22×C4711yescharacteristic
737C2×C4×D4C22×C4711yescharacteristic
738C2×#117C22×C4711yescharacteristic
739C2×#117C22×C4711yescharacteristic
740C2×#117C22×C4711yescharacteristic
741C22×C42C22×C4711yescharacteristic
742C22×C42C22×C4711yescharacteristic
743#401C22×C4711yescharacteristic
744#400C22×C4711yescharacteristic
745#400C22×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#400C22×C4711yescharacteristic
756#399C22×C4711yescharacteristic
757#399C22×C4711yescharacteristic
758#399C22×C4711yescharacteristic
759#399C22×C4711yescharacteristic
760#399C22×C4711yescharacteristic
761#398C22×C4711yescharacteristic
762#398C22×C4711yescharacteristic
763#398C22×C4711yescharacteristic
764#398C22×C4711yescharacteristic
765#398C22×C4711yescharacteristic
766#398C22×C4711yescharacteristic
767#398C22×C4711yescharacteristic
768#398C22×C4711yescharacteristic
769#398C22×C4711yescharacteristic
770#398C22×C4711yescharacteristic
771#398C22×C4711yescharacteristic
772#398C22×C4711yescharacteristic
773#397C22×C4711yescharacteristic
774#397C22×C4711yescharacteristic
775#397C22×C4711yescharacteristic
776#397C22×C4711yescharacteristic
777#397C22×C4711yescharacteristic
778#397C22×C4711yescharacteristic
779#397C22×C4711yescharacteristic
780#397C22×C4711yescharacteristic
781#397C22×C4711yescharacteristic
782#397C22×C4711yescharacteristic
783#397C22×C4711yescharacteristic
784#397C22×C4711yescharacteristic
785#397C22×C4711yescharacteristic
786#396C22×C4711yescharacteristic
787#396C22×C4711yescharacteristic
788#396C22×C4711yescharacteristic
789#396C22×C4711yescharacteristic
790#396C22×C4711yescharacteristic
791#396C22×C4711yescharacteristic
792#396C22×C4711yescharacteristic
793#395C22×C4711yescharacteristic
794#395C22×C4711yescharacteristic
795#394C22×C4711yescharacteristic
796#394C22×C4711yescharacteristic
797#394C22×C4711yescharacteristic
798#394C22×C4711yescharacteristic
799#394C22×C4711yescharacteristic
800#394C22×C4711yescharacteristic
801#394C22×C4711yescharacteristic
802#394C22×C4711yescharacteristic
803#394C22×C4711yescharacteristic
804#393C22×C4711yescharacteristic
805#393C22×C4711yescharacteristic
806#392C22×C4711yescharacteristic
807#391C22×C4711yescharacteristic
808#389C22×C4711yescharacteristic
809#389C22×C4711yescharacteristic
810#389C22×C4711yescharacteristic
811#389C22×C4711yescharacteristic
812#389C22×C4711yescharacteristic
813#389C22×C4711yescharacteristic
814#389C22×C4711yescharacteristic
815#388C22×C4711yescharacteristic
816#388C22×C4711yescharacteristic
817#388C22×C4711yescharacteristic
818#388C22×C4711yescharacteristic
819#388C22×C4711yescharacteristic
820#388C22×C4711yescharacteristic
821#388C22×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#386C22×C4711yescharacteristic
836#386C22×C4711yescharacteristic
837#386C22×C4711yescharacteristic
838#385C22×C4711yescharacteristic
839#385C22×C4711yescharacteristic
840#385C22×C4711yescharacteristic
841#385C22×C4711yescharacteristic
842#385C22×C4711yescharacteristic
843#385C22×C4711yescharacteristic
844#385C22×C4711yescharacteristic
845#385C22×C4711yescharacteristic
846#385C22×C4711yescharacteristic
847#383C22×C4711yescharacteristic
848#382C22×C4711yescharacteristic
849#381C22×C4711yescharacteristic
850#380C22×C4711yescharacteristic
851C4×C4⋊C4C22×C4711yescharacteristic
852C4×C4⋊C4C22×C4711yescharacteristic
853C4×C4⋊C4C22×C4711yescharacteristic
854C4×C4⋊C4C22×C4711yescharacteristic
855C4×C4⋊C4C22×C4711yescharacteristic
856C4×C4⋊C4C22×C4711yescharacteristic
857C4×C4⋊C4C22×C4711yescharacteristic
858C4×C4⋊C4C22×C4711yescharacteristic
859C4×C4⋊C4C22×C4711yescharacteristic
860C4×C4⋊C4C22×C4711yescharacteristic
861C4×C4⋊C4C22×C4711yescharacteristic
862C4×C4⋊C4C22×C4711yescharacteristic
863C4×C4⋊C4C22×C4711yescharacteristic
864C4×C4⋊C4C22×C4711yescharacteristic
865C4×C4⋊C4C22×C4711yescharacteristic
866C4×C4⋊C4C22×C4711yescharacteristic
867C4×C22⋊C4C22×C4711yescharacteristic
868C4×C22⋊C4C22×C4711yescharacteristic
869C4×C22⋊C4C22×C4711yescharacteristic
870C4×C22⋊C4C22×C4711yescharacteristic
871C4×C22⋊C4C22×C4711yescharacteristic
872C4×C22⋊C4C22×C4711yescharacteristic
873C4×C22⋊C4C22×C4711yescharacteristic
874C4×C22⋊C4C22×C4711yescharacteristic
875C4×C22⋊C4C22×C4711yescharacteristic
876C4×C22⋊C4C22×C4711yescharacteristic
877C4×C22⋊C4C22×C4711yescharacteristic
878C4×C22⋊C4C22×C4711yescharacteristic
879C4×C22⋊C4C22×C4711yescharacteristic
880C4×C22⋊C4C22×C4711yescharacteristic
881#376C22×C4711yescharacteristic
882C43C22×C4711yescharacteristic
883C47#3459211yescharacteristic, direct product factor, Sylow
884C22×Q8C23×C4711yescharacteristic
885C22×D4C23×C4711yescharacteristic
886C22×D4C23×C4711yescharacteristic
887C22×D4C23×C4711yescharacteristic
888C23×C4C23×C4711yescharacteristic
889C23×C4C23×C4711yescharacteristic
890C23×C4C23×C4711yescharacteristic
891C23×C4C23×C4711yescharacteristic
892C23×C4C23×C4711yescharacteristic
893C23×C4C23×C4711yescharacteristic
894C23×C4C23×C4711yescharacteristic
895#126—24no—
896#125—24no—
897#123—24no—
898C22⋊Q8—24no—
899C4×Q8—42no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—42no—
905#117—24no—
906#117—42no—
907#117—42no—
908C2×C4⋊C4C23×C4711yescharacteristic
909C2×C4⋊C4C23×C4711yescharacteristic
910C2×C4⋊C4C23×C4711yescharacteristic
911C2×C4⋊C4C23×C4711yescharacteristic
912C2×C4⋊C4C23×C4711yescharacteristic
913C2×C4⋊C4C23×C4711yescharacteristic
914C2×C4⋊C4C23×C4711yescharacteristic
915C2×C4⋊C4C23×C4711yescharacteristic
916C2×C4⋊C4C23×C4711yescharacteristic
917C2×C4⋊C4C23×C4711yescharacteristic
918C2×C4⋊C4C23×C4711yescharacteristic
919C2×C4⋊C4C23×C4711yescharacteristic
920C2×C4⋊C4C23×C4711yescharacteristic
921C2×C4⋊C4C23×C4711yescharacteristic
922C2×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×C22⋊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×C22⋊C4C23×C4711yescharacteristic
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
1000C2×C42C23×C4711yescharacteristic
1001C2×C42C23×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
1054C24C24×C4711yescharacteristic
1055C24C24×C4711yescharacteristic
1056C24C24×C4711yescharacteristic
1057C2×Q8—22no—
1058C2×Q8—41no—
1059C2×Q8—41no—
1060C2×D4—22no—
1061C2×D4—22no—
1062C2×D4—22no—
1063C2×D4—22no—
1064C2×D4—22no—
1065C2×D4—41no—
1066C2×D4—41no—
1067C2×D4—41no—
1068C2×D4—41no—
1069C22×C4—22no—
1070C22×C4—22no—
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—41no—
1081C22×C4—41no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—41no—
1085C22×C4—41no—
1086C22×C4—41no—
1087C22×C4—41no—
1088C22×C4#41×C4714yes—
1089C22×C4#41×C4714yes—
1090C22×C4C24×C4711yescharacteristic
1091C22×C4C24×C4711yescharacteristic
1092C22×C4C24×C4711yescharacteristic
1093C22×C4C24×C4711yescharacteristic
1094C22×C4C24×C4711yescharacteristic
1095C22×C4C24×C4711yescharacteristic
1096C22×C4C24×C4711yescharacteristic
1097C22×C4C24×C4711yescharacteristic
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
1118C4⋊C4—22no—
1119C4⋊C4—22no—
1120C4⋊C4—22no—
1121C4⋊C4—22no—
1122C4⋊C4—22no—
1123C4⋊C4—22no—
1124C4⋊C4—22no—
1125C4⋊C4—22no—
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—41no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4—41no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
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—
1158C22⋊C4—22no—
1159C22⋊C4—22no—
1160C22⋊C4—22no—
1161C22⋊C4—22no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
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—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—
1190C42—22no—
1191C42—22no—
1192C42—22no—
1193C42—22no—
1194C42—22no—
1195C42—22no—
1196C42—22no—
1197C42—22no—
1198C42—22no—
1199C42—22no—
1200C42—22no—
1201C42—22no—
1202C42—22no—
1203C42—41no—
1204C42—41no—
1205C42—41no—
1206C42—41no—
1207C42—41no—
1208C42—41no—
1209C42#41×C4714yes—
1210C23—21no—
1211C23—21no—
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—
1229C23C2×#41×C4712yes—
1230C23C2×#41×C4712yes—
1231C23C25×C4711yescharacteristic
1232Q8—44no—
1233D4—28no—
1234D4—44no—
1235D4—44no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—28no—
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—44no—
1313C2×C4—44no—
1314C2×C4—44no—
1315C2×C4—44no—
1316C2×C4—44no—
1317C2×C4—44no—
1318C2×C4C2×#41×C4712yes—
1319C2×C4C2×#41×C4712yes—
1320C2×C4C2×#41×C4712yes—
1321C2×C4C2×#41×C4712yes—
1322C2×C4C2×#41×C4712yes—
1323C2×C4C2×#41×C4712yes—
1324C2×C4C2×#41×C4712yes—
1325C2×C4H(5,𝔽2)×C4712yes—
1326C2×C42−1+4×C4712yes—
1327C22—22no—
1328C22—22no—
1329C22—22no—
1330C22—22no—
1331C22—22no—
1332C22—22no—
1333C22—41no—
1334C22—41no—
1335C22—41no—
1336C22—41no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22C22×#41×C4711yescharacteristic
1349C22C22×#41×C4711yescharacteristic
1350C22C22×#41×C4711yescharacteristic
1351C22C2×H(5,𝔽2)×C4711yescharacteristic
1352C22C2×2−1+4×C4711yescharacteristic
1353C22C47×#58511yescharacteristic
1354C22C47×#58511yescharacteristic
1355C4—22no—
1356C4—22no—
1357C4—22no—
1358C4—22no—
1359C4—22no—
1360C4—22no—
1361C4—41no—
1362C4—41no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
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—
1382C4C47×#53914yes—
1383C2—42no—
1384C2—42no—
1385C2—81no—
1386C2C47×#344411yescharacteristic
1387C2C2×C47×#53911yescharacteristic
1388C2C47×#345511yescharacteristic
1389C2C47×#345911yescharacteristic
1390C2C47×#346011yescharacteristic
1391C2C47×#346111yescharacteristic
1392C2C47×#346111yescharacteristic
subgroupG/H
centerC22×C4×C47C24
commutator, Frattini, cosocleC23C25×C47
socleC23×C47C25
prime radicalC47×#392C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#2667C2semidirect
2. C47×#2666C2semidirect
3. C47×#2664C2semidirect
4. C47×#2663C2semidirect
5. C47×#2655C2semidirect
6. C47×#2654C2semidirect
7. C47×#2653C2semidirect
8. C47×#2652C2semidirect
9. C47×#2652C2semidirect
10. C47×#2652C2semidirect
11. C47×#2649C2semidirect
12. C47×#2649C2semidirect
13. C47×#2638C2semidirect
15. C47×#2633C2semidirect
17. C47×#2402C2semidirect
18. C47×#2401C2semidirect
19. C47×#2396C2semidirect
20. C47×#2396C2semidirect
21. C47×#2395C2semidirect
22. C47×#2395C2semidirect
23. C47×#2395C2semidirect
25. C4×#125×C47C2semidirect
26. C4×#126×C47C2semidirect
27. C4×C22⋊Q8×C47C2semidirect
28. C4×#123×C47C2semidirect
29. C47×#2296C2semidirect
30. C47×#2290C2semidirect
31. C42×D4×C47C2semidirect
630. #34592C47direct (N × H)
687. #2667C2×C47semidirect
688. #2666C2×C47semidirect
689. #2664C2×C47semidirect
690. #2663C2×C47semidirect
691. #2655C2×C47semidirect
692. #2654C2×C47semidirect
693. #2653C2×C47semidirect
694. #2652C2×C47semidirect
695. #2652C2×C47semidirect
696. #2652C2×C47semidirect
697. #2649C2×C47semidirect
698. #2649C2×C47semidirect
699. #2638C2×C47semidirect
701. #2633C2×C47semidirect
703. #2402C2×C47semidirect
704. #2401C2×C47semidirect
705. #2396C2×C47semidirect
706. #2396C2×C47semidirect
707. #2395C2×C47semidirect
708. #2395C2×C47semidirect
709. #2395C2×C47semidirect
711. C4×#125C2×C47semidirect
712. C4×#126C2×C47semidirect
713. C4×C22⋊Q8C2×C47semidirect
714. C4×#123C2×C47semidirect
715. #2296C2×C47semidirect
716. #2290C2×C47semidirect
717. C42×D4C2×C47semidirect
883. C47#34592direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#26672
C47×#26662
C47×#26642
C47×#26632
C47×#26552
C47×#26542
C47×#26532
C47×#26522
C47×#26492
C47×#26382
C47×#26362
C47×#26332
C47×#26302
C47×#24022
C47×#24012
C47×#23962
C47×#23952
C47×#23922
C4×#125×C472
C4×#126×C472
C4×C22⋊Q8×C472
C4×#123×C472
C47×#22962
C47×#22902
C42×D4×C472
#3459247