Finite Group Databasebeta

← C47×#35071 #26074769

Subgroups — C47×#35071 #26074769

Order 12032.

1916 conjugacy classes of subgroups.

The subgroup lattice has 1526 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#2865C211yesmaximal, characteristic, complemented
2C47×#2861C211yesmaximal, characteristic, complemented
3C47×#2853C211yesmaximal, characteristic, complemented
4C47×#2850C211yesmaximal, characteristic, complemented
5C47×#2665C211yesmaximal, characteristic, complemented
6C47×#2661C211yesmaximal, characteristic, complemented
7C47×#2635C211yesmaximal, characteristic, complemented
8C47×#2630C211yesmaximal, characteristic, complemented
9C47×#2593C211yesmaximal, characteristic, complemented
10C47×#2573C211yesmaximal, characteristic, complemented
11C47×#2556C211yesmaximal, characteristic, complemented
12C47×#2555C211yesmaximal, characteristic, complemented
13C47×#2520C211yesmaximal, characteristic, complemented
14C47×#2518C211yesmaximal, characteristic, complemented
15C47×#2516C211yesmaximal, characteristic, complemented
16C47×#2463C211yesmaximal, characteristic, complemented
17C47×#2461C211yesmaximal, characteristic, complemented
18C47×#2460C211yesmaximal, characteristic, complemented
19C47×#2459C211yesmaximal, characteristic, complemented
20C47×#2459C211yesmaximal, characteristic, complemented
21C47×#2459C211yesmaximal, characteristic, complemented
22C47×#2457C211yesmaximal, characteristic, complemented
23C47×#2456C211yesmaximal, characteristic, complemented
24C47×#2456C211yesmaximal, characteristic, complemented
25C47×#2337C211yesmaximal, characteristic, complemented
26C47×#2335C211yesmaximal, characteristic, complemented
27C47×#2333C211yesmaximal, characteristic, complemented
28C47×#2332C211yesmaximal, characteristic, complemented
29C4×#123×C47C211yesmaximal, characteristic, complemented
30C4×#121×C47C211yesmaximal, characteristic, complemented
31C42×D4×C47C211yesmaximal, characteristic, complemented
32C2×#125×C47C2211yescharacteristic
33C2×#124×C47C2211yescharacteristic
34C2×#124×C47C2211yescharacteristic
35C2×#124×C47C2211yescharacteristic
36C2×#123×C47C2211yescharacteristic
37C2×#123×C47C2211yescharacteristic
38C2×#123×C47C2211yescharacteristic
39C2×C22⋊Q8×C47C2211yescharacteristic
40C2×C22⋊Q8×C47C2211yescharacteristic
41C2×#121×C47C2211yescharacteristic
42C2×#121×C47C2211yescharacteristic
43C2×#121×C47C2211yescharacteristic
44C2×C4×D4×C47C2211yescharacteristic
45C2×C4×D4×C47C2211yescharacteristic
46C2×C4×D4×C47C2211yescharacteristic
47C2×C4×D4×C47C2211yescharacteristic
48C2×C4×D4×C47C2211yescharacteristic
49C2×C4×D4×C47C2211yescharacteristic
50C2×C4×D4×C47C2211yescharacteristic
51C22×C42×C47C2211yescharacteristic
52C22×C42×C47C2211yescharacteristic
53C47×#400C2211yescharacteristic
54C47×#400C2211yescharacteristic
55C47×#400C2211yescharacteristic
56C47×#399C2211yescharacteristic
57C47×#398C2211yescharacteristic
58C47×#398C2211yescharacteristic
59C47×#397C2211yescharacteristic
60C47×#397C2211yescharacteristic
61C47×#396C2211yescharacteristic
62C47×#396C2211yescharacteristic
63C47×#396C2211yescharacteristic
64C47×#396C2211yescharacteristic
65C47×#395C2211yescharacteristic
66C47×#395C2211yescharacteristic
67C47×#394C2211yescharacteristic
68C47×#394C2211yescharacteristic
69C47×#394C2211yescharacteristic
70C47×#394C2211yescharacteristic
71C47×#394C2211yescharacteristic
72C47×#394C2211yescharacteristic
73C47×#394C2211yescharacteristic
74C47×#394C2211yescharacteristic
75C47×#394C2211yescharacteristic
76C47×#393C2211yescharacteristic
77C47×#393C2211yescharacteristic
78C47×#392C2211yescharacteristic
79C47×#392C2211yescharacteristic
80C47×#392C2211yescharacteristic
81C47×#392C2211yescharacteristic
82C47×#392C2211yescharacteristic
83C47×#392C2211yescharacteristic
84C47×#392C2211yescharacteristic
85C47×#391C2211yescharacteristic
86C47×#391C2211yescharacteristic
87C47×#391C2211yescharacteristic
88C47×#391C2211yescharacteristic
89C47×#391C2211yescharacteristic
90C47×#390C2211yescharacteristic
91C47×#390C2211yescharacteristic
92C47×#390C2211yescharacteristic
93C47×#390C2211yescharacteristic
94C47×#390C2211yescharacteristic
95C47×#389C2211yescharacteristic
96C47×#389C2211yescharacteristic
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×#388C2211yescharacteristic
117C47×#388C2211yescharacteristic
118C47×#388C2211yescharacteristic
119C47×#388C2211yescharacteristic
120C47×#388C2211yescharacteristic
121C47×#388C2211yescharacteristic
122C47×#388C2211yescharacteristic
123C47×#388C2211yescharacteristic
124C47×#388C2211yescharacteristic
125C47×#388C2211yescharacteristic
126C47×#388C2211yescharacteristic
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×#386C2211yescharacteristic
155C47×#386C2211yescharacteristic
156C47×#385C2211yescharacteristic
157C47×#385C2211yescharacteristic
158C47×#385C2211yescharacteristic
159C47×#385C2211yescharacteristic
160C47×#385C2211yescharacteristic
161C47×#383C2211yescharacteristic
162C47×#382C2211yescharacteristic
163C47×#381C2211yescharacteristic
164C47×#381C2211yescharacteristic
165C47×#381C2211yescharacteristic
166C47×#381C2211yescharacteristic
167C47×#380C2211yescharacteristic
168C47×#380C2211yescharacteristic
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×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
185C4×C22⋊C4×C47C2211yescharacteristic
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
195C22×D4×C47C2311yescharacteristic
196C22×D4×C47C2311yescharacteristic
197C22×D4×C47C2311yescharacteristic
198C22×D4×C47C2311yescharacteristic
199C23×C4×C47C2311yescharacteristic
200C23×C4×C47C2311yescharacteristic
201C23×C4×C47C2311yescharacteristic
202C23×C4×C47C2311yescharacteristic
203C23×C4×C47C2311yescharacteristic
204C23×C4×C47C2311yescharacteristic
205C23×C4×C47C2311yescharacteristic
206C23×C4×C47C2311yescharacteristic
207C23×C4×C47C2311yescharacteristic
208#125×C47—42no—
209#124×C47—24no—
210#124×C47—42no—
211#124×C47—42no—
212#123×C47—24no—
213#123×C47—24no—
214#123×C47—42no—
215C22⋊Q8×C47—24no—
216C22⋊Q8×C47—42no—
217#121×C47—24no—
218#121×C47—24no—
219#121×C47—42no—
220C4×D4×C47—24no—
221C4×D4×C47—24no—
222C4×D4×C47—24no—
223C4×D4×C47—42no—
224C4×D4×C47—42no—
225C4×D4×C47—42no—
226C4×D4×C47—42no—
227C2×C4⋊C4×C47C2311yescharacteristic
228C2×C4⋊C4×C47C2311yescharacteristic
229C2×C4⋊C4×C47C2311yescharacteristic
230C2×C4⋊C4×C47C2311yescharacteristic
231C2×C4⋊C4×C47C2311yescharacteristic
232C2×C4⋊C4×C47C2311yescharacteristic
233C2×C4⋊C4×C47C2311yescharacteristic
234C2×C4⋊C4×C47C2311yescharacteristic
235C2×C4⋊C4×C47C2311yescharacteristic
236C2×C4⋊C4×C47C2311yescharacteristic
237C2×C4⋊C4×C47C2311yescharacteristic
238C2×C4⋊C4×C47C2311yescharacteristic
239C2×C4⋊C4×C47C2311yescharacteristic
240C2×C4⋊C4×C47C2311yescharacteristic
241C2×C4⋊C4×C47C2311yescharacteristic
242C2×C4⋊C4×C47C2311yescharacteristic
243C2×C4⋊C4×C47C2311yescharacteristic
244C2×C4⋊C4×C47C2311yescharacteristic
245C2×C4⋊C4×C47C2311yescharacteristic
246C2×C4⋊C4×C47C2311yescharacteristic
247C2×C4⋊C4×C47C2311yescharacteristic
248C2×C4⋊C4×C47C2311yescharacteristic
249C2×C4⋊C4×C47C2311yescharacteristic
250C2×C4⋊C4×C47C2311yescharacteristic
251C2×C4⋊C4×C47C2311yescharacteristic
252C2×C4⋊C4×C47C2311yescharacteristic
253C2×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×C22⋊C4×C47C2311yescharacteristic
285C2×C22⋊C4×C47C2311yescharacteristic
286C2×C22⋊C4×C47C2311yescharacteristic
287C2×C22⋊C4×C47C2311yescharacteristic
288C2×C22⋊C4×C47C2311yescharacteristic
289C2×C22⋊C4×C47C2311yescharacteristic
290C2×C22⋊C4×C47C2311yescharacteristic
291C2×C22⋊C4×C47C2311yescharacteristic
292C2×C22⋊C4×C47C2311yescharacteristic
293C2×C22⋊C4×C47C2311yescharacteristic
294C2×C22⋊C4×C47C2311yescharacteristic
295C2×C22⋊C4×C47C2311yescharacteristic
296C2×C22⋊C4×C47C2311yescharacteristic
297C2×C22⋊C4×C47C2311yescharacteristic
298C2×C22⋊C4×C47C2311yescharacteristic
299C2×C42×C47—42no—
300C2×C42×C47—42no—
301C2×C42×C47C2311yescharacteristic
302C2×C42×C47C2311yescharacteristic
303C2×C42×C47C2311yescharacteristic
304C2×C42×C47C2311yescharacteristic
305C2×C42×C47C2311yescharacteristic
306C2×C42×C47C2311yescharacteristic
307C2×C42×C47C2311yescharacteristic
308C2×C42×C47C2311yescharacteristic
309C2×C42×C47C2311yescharacteristic
310C2×C42×C47C2311yescharacteristic
311C2×C42×C47C2311yescharacteristic
312C2×C42×C47C2311yescharacteristic
313C2×C42×C47C2311yescharacteristic
314C2×C42×C47C2311yescharacteristic
315C2×C42×C47C2311yescharacteristic
316C2×C42×C47C2311yescharacteristic
317C2×C42×C47C2311yescharacteristic
318C2×C42×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
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363C24×C47C2411yescharacteristic
364C24×C47C2411yescharacteristic
365C24×C47C2411yescharacteristic
366C24×C47C2411yescharacteristic
367C24×C47C2411yescharacteristic
368C2×Q8×C47—22no—
369C2×Q8×C47—22no—
370C2×Q8×C47—41no—
371C2×Q8×C47—41no—
372C2×Q8×C47—41no—
373C2×Q8×C47—41no—
374C2×D4×C47—22no—
375C2×D4×C47—22no—
376C2×D4×C47—22no—
377C2×D4×C47—22no—
378C2×D4×C47—22no—
379C2×D4×C47—22no—
380C2×D4×C47—22no—
381C2×D4×C47—22no—
382C2×D4×C47—22no—
383C2×D4×C47—22no—
384C2×D4×C47—22no—
385C2×D4×C47—22no—
386C2×D4×C47—41no—
387C2×D4×C47—41no—
388C2×D4×C47—41no—
389C2×D4×C47—41no—
390C2×D4×C47—41no—
391C2×D4×C47—41no—
392C2×D4×C47—41no—
393C2×D4×C47—41no—
394C2×D4×C47—41no—
395C2×D4×C47—41no—
396C2×D4×C47—41no—
397C2×D4×C47—41no—
398C2×D4×C47—41no—
399C2×D4×C47—41no—
400C2×D4×C47—41no—
401C2×D4×C47—41no—
402C2×D4×C47—41no—
403C2×D4×C47—41no—
404C22×C4×C47—22no—
405C22×C4×C47—22no—
406C22×C4×C47—22no—
407C22×C4×C47—22no—
408C22×C4×C47—22no—
409C22×C4×C47—22no—
410C22×C4×C47—22no—
411C22×C4×C47—22no—
412C22×C4×C47—22no—
413C22×C4×C47—22no—
414C22×C4×C47—22no—
415C22×C4×C47—22no—
416C22×C4×C47—41no—
417C22×C4×C47—41no—
418C22×C4×C47—41no—
419C22×C4×C47—41no—
420C22×C4×C47—41no—
421C22×C4×C47—41no—
422C22×C4×C47—41no—
423C22×C4×C47—41no—
424C22×C4×C47—41no—
425C22×C4×C47—41no—
426C22×C4×C47—41no—
427C22×C4×C47—41no—
428C22×C4×C47—41no—
429C22×C4×C47—41no—
430C22×C4×C47#4114yes—
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C22×C4×C47C2411yescharacteristic
438C22×C4×C47C2411yescharacteristic
439C22×C4×C47C2411yescharacteristic
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C22×C4×C47C2411yescharacteristic
443C22×C4×C47C2411yescharacteristic
444C22×C4×C47C2411yescharacteristic
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2411yescharacteristic
447C22×C4×C47C2411yescharacteristic
448C22×C4×C47C2411yescharacteristic
449C22×C4×C47C2411yescharacteristic
450C22×C4×C47C2411yescharacteristic
451C22×C4×C47C2411yescharacteristic
452C22×C4×C47C2411yescharacteristic
453C22×C4×C47C2411yescharacteristic
454C22×C4×C47C2411yescharacteristic
455C22×C4×C47C2411yescharacteristic
456C22×C4×C47C2411yescharacteristic
457C4⋊C4×C47—22no—
458C4⋊C4×C47—22no—
459C4⋊C4×C47—22no—
460C4⋊C4×C47—22no—
461C4⋊C4×C47—22no—
462C4⋊C4×C47—22no—
463C4⋊C4×C47—22no—
464C4⋊C4×C47—22no—
465C4⋊C4×C47—22no—
466C4⋊C4×C47—22no—
467C4⋊C4×C47—22no—
468C4⋊C4×C47—22no—
469C4⋊C4×C47—22no—
470C4⋊C4×C47—41no—
471C4⋊C4×C47—41no—
472C4⋊C4×C47—41no—
473C4⋊C4×C47—41no—
474C4⋊C4×C47—41no—
475C4⋊C4×C47—41no—
476C4⋊C4×C47—41no—
477C4⋊C4×C47—41no—
478C4⋊C4×C47—41no—
479C4⋊C4×C47—41no—
480C4⋊C4×C47—41no—
481C4⋊C4×C47—41no—
482C4⋊C4×C47#4114yes—
483C22⋊C4×C47—22no—
484C22⋊C4×C47—22no—
485C22⋊C4×C47—22no—
486C22⋊C4×C47—22no—
487C22⋊C4×C47—22no—
488C22⋊C4×C47—22no—
489C22⋊C4×C47—22no—
490C22⋊C4×C47—22no—
491C22⋊C4×C47—22no—
492C22⋊C4×C47—22no—
493C22⋊C4×C47—22no—
494C22⋊C4×C47—22no—
495C22⋊C4×C47—22no—
496C22⋊C4×C47—22no—
497C22⋊C4×C47—22no—
498C22⋊C4×C47—22no—
499C22⋊C4×C47—22no—
500C22⋊C4×C47—22no—
501C22⋊C4×C47—22no—
502C22⋊C4×C47—22no—
503C22⋊C4×C47—22no—
504C22⋊C4×C47—22no—
505C22⋊C4×C47—22no—
506C22⋊C4×C47—22no—
507C22⋊C4×C47—22no—
508C22⋊C4×C47—41no—
509C22⋊C4×C47—41no—
510C22⋊C4×C47—41no—
511C22⋊C4×C47—41no—
512C22⋊C4×C47—41no—
513C22⋊C4×C47—41no—
514C22⋊C4×C47—41no—
515C22⋊C4×C47—41no—
516C22⋊C4×C47—41no—
517C22⋊C4×C47—41no—
518C22⋊C4×C47—41no—
519C22⋊C4×C47—41no—
520C22⋊C4×C47—41no—
521C22⋊C4×C47—41no—
522C22⋊C4×C47—41no—
523C22⋊C4×C47—41no—
524C22⋊C4×C47—41no—
525C22⋊C4×C47—41no—
526C22⋊C4×C47—41no—
527C22⋊C4×C47—41no—
528C22⋊C4×C47#4114yes—
529C42×C47—22no—
530C42×C47—22no—
531C42×C47—22no—
532C42×C47—22no—
533C42×C47—22no—
534C42×C47—22no—
535C42×C47—22no—
536C42×C47—22no—
537C42×C47—41no—
538C42×C47—41no—
539C42×C47—41no—
540C42×C47—41no—
541C42×C47—41no—
542C42×C47—41no—
543C42×C47—41no—
544C42×C47—41no—
545C42×C47—41no—
546C42×C47—41no—
547C23×C47—21no—
548C23×C47—21no—
549C23×C47—21no—
550C23×C47—21no—
551C23×C47—21no—
552C23×C47—21no—
553C23×C47—21no—
554C23×C47—21no—
555C23×C47—21no—
556C23×C47—21no—
557C23×C47—21no—
558C23×C47—21no—
559C23×C47—21no—
560C23×C47—21no—
561C23×C47—21no—
562C23×C47—21no—
563C23×C47—21no—
564C23×C47—21no—
565C23×C47—21no—
566C23×C47—21no—
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47—21no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47C2×#4112yes—
581C23×C47C2×#4112yes—
582C23×C47C2511yescharacteristic
583Q8×C47—82no—
584Q8×C47—82no—
585D4×C47—28no—
586D4×C47—44no—
587D4×C47—44no—
588D4×C47—44no—
589D4×C47—44no—
590D4×C47—82no—
591D4×C47—82no—
592D4×C47—82no—
593D4×C47—82no—
594D4×C47—82no—
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—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—44no—
665C2×C4×C47—44no—
666C2×C4×C47—44no—
667C2×C4×C47—44no—
668C2×C4×C47—44no—
669C2×C4×C47—44no—
670C2×C4×C47—82no—
671C2×C4×C47—82no—
672C2×C4×C47—82no—
673C2×C4×C47C2×#4112yes—
674C2×C4×C47C2×#4112yes—
675C2×C4×C47C2×#4112yes—
676C2×C4×C47C2×#4112yes—
677C2×C4×C47C2×#4112yes—
678C2×C4×C47C2×#4112yes—
679C2×C4×C47C2×#4112yes—
680C2×C4×C47H(5,𝔽2)12yes—
681C2×C4×C47H(5,𝔽2)12yes—
682#35071C4711yesmaximal, characteristic, direct product factor, Sylow
683C22×C47—22no—
684C22×C47—22no—
685C22×C47—22no—
686C22×C47—22no—
687C22×C47—22no—
688C22×C47—22no—
689C22×C47—41no—
690C22×C47—41no—
691C22×C47—41no—
692C22×C47—41no—
693C22×C47—41no—
694C22×C47—41no—
695C22×C47—41no—
696C22×C47—41no—
697C22×C47—41no—
698C22×C47—41no—
699C22×C47—41no—
700C22×C47—41no—
701C22×C47—41no—
702C22×C47—41no—
703C22×C47—41no—
704C22×C47—41no—
705C22×C47—41no—
706C22×C47—41no—
707C22×C47—41no—
708C22×C47—41no—
709C22×C47—41no—
710C22×C47—41no—
711C22×C47—41no—
712C22×C47—41no—
713C22×C47—41no—
714C22×C47—41no—
715C22×C47—41no—
716C22×C47—41no—
717C22×C47—41no—
718C22×C47C22×#4111yescharacteristic
719C22×C47C22×#4111yescharacteristic
720C22×C47C22×#4111yescharacteristic
721C22×C47C2×H(5,𝔽2)11yescharacteristic
722C22×C47C2×H(5,𝔽2)11yescharacteristic
723C22×C47#58511yescharacteristic
724C22×C47#58511yescharacteristic
725C4×C47—22no—
726C4×C47—22no—
727C4×C47—22no—
728C4×C47—22no—
729C4×C47—22no—
730C4×C47—22no—
731C4×C47—22no—
732C4×C47—22no—
733C4×C47—22no—
734C4×C47—41no—
735C4×C47—41no—
736C4×C47—41no—
737C4×C47—41no—
738C4×C47—41no—
739C4×C47—41no—
740C4×C47—41no—
741C4×C47—41no—
742C4×C47—41no—
743C4×C47—41no—
744C4×C47—41no—
745C4×C47—41no—
746C4×C47—41no—
747C4×C47—41no—
748C4×C47—41no—
749C4×C47—41no—
750C4×C47—41no—
751#2865C2×C4711yescharacteristic, complemented
752#2861C2×C4711yescharacteristic, complemented
753#2853C2×C4711yescharacteristic, complemented
754#2850C2×C4711yescharacteristic, complemented
755#2665C2×C4711yescharacteristic, complemented
756#2661C2×C4711yescharacteristic, complemented
757#2635C2×C4711yescharacteristic, complemented
758#2630C2×C4711yescharacteristic, complemented
759#2593C2×C4711yescharacteristic, complemented
760#2573C2×C4711yescharacteristic, complemented
761#2556C2×C4711yescharacteristic, complemented
762#2555C2×C4711yescharacteristic, complemented
763#2520C2×C4711yescharacteristic, complemented
764#2518C2×C4711yescharacteristic, complemented
765#2516C2×C4711yescharacteristic, complemented
766#2463C2×C4711yescharacteristic, complemented
767#2461C2×C4711yescharacteristic, complemented
768#2460C2×C4711yescharacteristic, complemented
769#2459C2×C4711yescharacteristic, complemented
770#2459C2×C4711yescharacteristic, complemented
771#2459C2×C4711yescharacteristic, complemented
772#2457C2×C4711yescharacteristic, complemented
773#2456C2×C4711yescharacteristic, complemented
774#2456C2×C4711yescharacteristic, complemented
775#2337C2×C4711yescharacteristic, complemented
776#2335C2×C4711yescharacteristic, complemented
777#2333C2×C4711yescharacteristic, complemented
778#2332C2×C4711yescharacteristic, complemented
779C4×#123C2×C4711yescharacteristic, complemented
780C4×#121C2×C4711yescharacteristic, complemented
781C42×D4C2×C4711yescharacteristic, complemented
782C2×C47—42no—
783C2×C47—42no—
784C2×C47—81no—
785C2×C47—81no—
786C2×C47—81no—
787C2×C47#344411yescharacteristic
788C2×C47#345911yescharacteristic
789C2×C47#346011yescharacteristic
790C2×C47#351311yescharacteristic
791C2×C47#351411yescharacteristic
792C2×C47#351911yescharacteristic
793C2×C47#352411yescharacteristic
794C2×#125C22×C4711yescharacteristic
795C2×#124C22×C4711yescharacteristic
796C2×#124C22×C4711yescharacteristic
797C2×#124C22×C4711yescharacteristic
798C2×#123C22×C4711yescharacteristic
799C2×#123C22×C4711yescharacteristic
800C2×#123C22×C4711yescharacteristic
801C2×C22⋊Q8C22×C4711yescharacteristic
802C2×C22⋊Q8C22×C4711yescharacteristic
803C2×#121C22×C4711yescharacteristic
804C2×#121C22×C4711yescharacteristic
805C2×#121C22×C4711yescharacteristic
806C2×C4×D4C22×C4711yescharacteristic
807C2×C4×D4C22×C4711yescharacteristic
808C2×C4×D4C22×C4711yescharacteristic
809C2×C4×D4C22×C4711yescharacteristic
810C2×C4×D4C22×C4711yescharacteristic
811C2×C4×D4C22×C4711yescharacteristic
812C2×C4×D4C22×C4711yescharacteristic
813C22×C42C22×C4711yescharacteristic
814C22×C42C22×C4711yescharacteristic
815#400C22×C4711yescharacteristic
816#400C22×C4711yescharacteristic
817#400C22×C4711yescharacteristic
818#399C22×C4711yescharacteristic
819#398C22×C4711yescharacteristic
820#398C22×C4711yescharacteristic
821#397C22×C4711yescharacteristic
822#397C22×C4711yescharacteristic
823#396C22×C4711yescharacteristic
824#396C22×C4711yescharacteristic
825#396C22×C4711yescharacteristic
826#396C22×C4711yescharacteristic
827#395C22×C4711yescharacteristic
828#395C22×C4711yescharacteristic
829#394C22×C4711yescharacteristic
830#394C22×C4711yescharacteristic
831#394C22×C4711yescharacteristic
832#394C22×C4711yescharacteristic
833#394C22×C4711yescharacteristic
834#394C22×C4711yescharacteristic
835#394C22×C4711yescharacteristic
836#394C22×C4711yescharacteristic
837#394C22×C4711yescharacteristic
838#393C22×C4711yescharacteristic
839#393C22×C4711yescharacteristic
840#392C22×C4711yescharacteristic
841#392C22×C4711yescharacteristic
842#392C22×C4711yescharacteristic
843#392C22×C4711yescharacteristic
844#392C22×C4711yescharacteristic
845#392C22×C4711yescharacteristic
846#392C22×C4711yescharacteristic
847#391C22×C4711yescharacteristic
848#391C22×C4711yescharacteristic
849#391C22×C4711yescharacteristic
850#391C22×C4711yescharacteristic
851#391C22×C4711yescharacteristic
852#390C22×C4711yescharacteristic
853#390C22×C4711yescharacteristic
854#390C22×C4711yescharacteristic
855#390C22×C4711yescharacteristic
856#390C22×C4711yescharacteristic
857#389C22×C4711yescharacteristic
858#389C22×C4711yescharacteristic
859#388C22×C4711yescharacteristic
860#388C22×C4711yescharacteristic
861#388C22×C4711yescharacteristic
862#388C22×C4711yescharacteristic
863#388C22×C4711yescharacteristic
864#388C22×C4711yescharacteristic
865#388C22×C4711yescharacteristic
866#388C22×C4711yescharacteristic
867#388C22×C4711yescharacteristic
868#388C22×C4711yescharacteristic
869#388C22×C4711yescharacteristic
870#388C22×C4711yescharacteristic
871#388C22×C4711yescharacteristic
872#388C22×C4711yescharacteristic
873#388C22×C4711yescharacteristic
874#388C22×C4711yescharacteristic
875#388C22×C4711yescharacteristic
876#388C22×C4711yescharacteristic
877#388C22×C4711yescharacteristic
878#388C22×C4711yescharacteristic
879#388C22×C4711yescharacteristic
880#388C22×C4711yescharacteristic
881#388C22×C4711yescharacteristic
882#388C22×C4711yescharacteristic
883#388C22×C4711yescharacteristic
884#388C22×C4711yescharacteristic
885#388C22×C4711yescharacteristic
886#388C22×C4711yescharacteristic
887#388C22×C4711yescharacteristic
888#388C22×C4711yescharacteristic
889#387C22×C4711yescharacteristic
890#387C22×C4711yescharacteristic
891#387C22×C4711yescharacteristic
892#387C22×C4711yescharacteristic
893#387C22×C4711yescharacteristic
894#387C22×C4711yescharacteristic
895#387C22×C4711yescharacteristic
896#387C22×C4711yescharacteristic
897#387C22×C4711yescharacteristic
898#387C22×C4711yescharacteristic
899#387C22×C4711yescharacteristic
900#387C22×C4711yescharacteristic
901#387C22×C4711yescharacteristic
902#387C22×C4711yescharacteristic
903#387C22×C4711yescharacteristic
904#387C22×C4711yescharacteristic
905#386C22×C4711yescharacteristic
906#386C22×C4711yescharacteristic
907#386C22×C4711yescharacteristic
908#386C22×C4711yescharacteristic
909#386C22×C4711yescharacteristic
910#386C22×C4711yescharacteristic
911#386C22×C4711yescharacteristic
912#386C22×C4711yescharacteristic
913#386C22×C4711yescharacteristic
914#386C22×C4711yescharacteristic
915#386C22×C4711yescharacteristic
916#386C22×C4711yescharacteristic
917#386C22×C4711yescharacteristic
918#385C22×C4711yescharacteristic
919#385C22×C4711yescharacteristic
920#385C22×C4711yescharacteristic
921#385C22×C4711yescharacteristic
922#385C22×C4711yescharacteristic
923#383C22×C4711yescharacteristic
924#382C22×C4711yescharacteristic
925#381C22×C4711yescharacteristic
926#381C22×C4711yescharacteristic
927#381C22×C4711yescharacteristic
928#381C22×C4711yescharacteristic
929#380C22×C4711yescharacteristic
930#380C22×C4711yescharacteristic
931C4×C4⋊C4C22×C4711yescharacteristic
932C4×C4⋊C4C22×C4711yescharacteristic
933C4×C4⋊C4C22×C4711yescharacteristic
934C4×C4⋊C4C22×C4711yescharacteristic
935C4×C4⋊C4C22×C4711yescharacteristic
936C4×C4⋊C4C22×C4711yescharacteristic
937C4×C22⋊C4C22×C4711yescharacteristic
938C4×C22⋊C4C22×C4711yescharacteristic
939C4×C22⋊C4C22×C4711yescharacteristic
940C4×C22⋊C4C22×C4711yescharacteristic
941C4×C22⋊C4C22×C4711yescharacteristic
942C4×C22⋊C4C22×C4711yescharacteristic
943C4×C22⋊C4C22×C4711yescharacteristic
944C4×C22⋊C4C22×C4711yescharacteristic
945C4×C22⋊C4C22×C4711yescharacteristic
946C4×C22⋊C4C22×C4711yescharacteristic
947C4×C22⋊C4C22×C4711yescharacteristic
948C43C22×C4711yescharacteristic
949C47#3507111yescharacteristic, direct product factor, Sylow
950C22×Q8C23×C4711yescharacteristic
951C22×Q8C23×C4711yescharacteristic
952C22×D4C23×C4711yescharacteristic
953C22×D4C23×C4711yescharacteristic
954C22×D4C23×C4711yescharacteristic
955C22×D4C23×C4711yescharacteristic
956C22×D4C23×C4711yescharacteristic
957C22×D4C23×C4711yescharacteristic
958C22×D4C23×C4711yescharacteristic
959C22×D4C23×C4711yescharacteristic
960C22×D4C23×C4711yescharacteristic
961C22×D4C23×C4711yescharacteristic
962C23×C4C23×C4711yescharacteristic
963C23×C4C23×C4711yescharacteristic
964C23×C4C23×C4711yescharacteristic
965C23×C4C23×C4711yescharacteristic
966C23×C4C23×C4711yescharacteristic
967C23×C4C23×C4711yescharacteristic
968C23×C4C23×C4711yescharacteristic
969C23×C4C23×C4711yescharacteristic
970C23×C4C23×C4711yescharacteristic
971#125—42no—
972#124—24no—
973#124—42no—
974#124—42no—
975#123—24no—
976#123—24no—
977#123—42no—
978C22⋊Q8—24no—
979C22⋊Q8—42no—
980#121—24no—
981#121—24no—
982#121—42no—
983C4×D4—24no—
984C4×D4—24no—
985C4×D4—24no—
986C4×D4—42no—
987C4×D4—42no—
988C4×D4—42no—
989C4×D4—42no—
990C2×C4⋊C4C23×C4711yescharacteristic
991C2×C4⋊C4C23×C4711yescharacteristic
992C2×C4⋊C4C23×C4711yescharacteristic
993C2×C4⋊C4C23×C4711yescharacteristic
994C2×C4⋊C4C23×C4711yescharacteristic
995C2×C4⋊C4C23×C4711yescharacteristic
996C2×C4⋊C4C23×C4711yescharacteristic
997C2×C4⋊C4C23×C4711yescharacteristic
998C2×C4⋊C4C23×C4711yescharacteristic
999C2×C4⋊C4C23×C4711yescharacteristic
1000C2×C4⋊C4C23×C4711yescharacteristic
1001C2×C4⋊C4C23×C4711yescharacteristic
1002C2×C4⋊C4C23×C4711yescharacteristic
1003C2×C4⋊C4C23×C4711yescharacteristic
1004C2×C4⋊C4C23×C4711yescharacteristic
1005C2×C4⋊C4C23×C4711yescharacteristic
1006C2×C4⋊C4C23×C4711yescharacteristic
1007C2×C4⋊C4C23×C4711yescharacteristic
1008C2×C4⋊C4C23×C4711yescharacteristic
1009C2×C4⋊C4C23×C4711yescharacteristic
1010C2×C4⋊C4C23×C4711yescharacteristic
1011C2×C4⋊C4C23×C4711yescharacteristic
1012C2×C4⋊C4C23×C4711yescharacteristic
1013C2×C4⋊C4C23×C4711yescharacteristic
1014C2×C4⋊C4C23×C4711yescharacteristic
1015C2×C4⋊C4C23×C4711yescharacteristic
1016C2×C22⋊C4C23×C4711yescharacteristic
1017C2×C22⋊C4C23×C4711yescharacteristic
1018C2×C22⋊C4C23×C4711yescharacteristic
1019C2×C22⋊C4C23×C4711yescharacteristic
1020C2×C22⋊C4C23×C4711yescharacteristic
1021C2×C22⋊C4C23×C4711yescharacteristic
1022C2×C22⋊C4C23×C4711yescharacteristic
1023C2×C22⋊C4C23×C4711yescharacteristic
1024C2×C22⋊C4C23×C4711yescharacteristic
1025C2×C22⋊C4C23×C4711yescharacteristic
1026C2×C22⋊C4C23×C4711yescharacteristic
1027C2×C22⋊C4C23×C4711yescharacteristic
1028C2×C22⋊C4C23×C4711yescharacteristic
1029C2×C22⋊C4C23×C4711yescharacteristic
1030C2×C22⋊C4C23×C4711yescharacteristic
1031C2×C22⋊C4C23×C4711yescharacteristic
1032C2×C22⋊C4C23×C4711yescharacteristic
1033C2×C22⋊C4C23×C4711yescharacteristic
1034C2×C22⋊C4C23×C4711yescharacteristic
1035C2×C22⋊C4C23×C4711yescharacteristic
1036C2×C22⋊C4C23×C4711yescharacteristic
1037C2×C22⋊C4C23×C4711yescharacteristic
1038C2×C22⋊C4C23×C4711yescharacteristic
1039C2×C22⋊C4C23×C4711yescharacteristic
1040C2×C22⋊C4C23×C4711yescharacteristic
1041C2×C22⋊C4C23×C4711yescharacteristic
1042C2×C22⋊C4C23×C4711yescharacteristic
1043C2×C22⋊C4C23×C4711yescharacteristic
1044C2×C22⋊C4C23×C4711yescharacteristic
1045C2×C22⋊C4C23×C4711yescharacteristic
1046C2×C22⋊C4C23×C4711yescharacteristic
1047C2×C22⋊C4C23×C4711yescharacteristic
1048C2×C22⋊C4C23×C4711yescharacteristic
1049C2×C22⋊C4C23×C4711yescharacteristic
1050C2×C22⋊C4C23×C4711yescharacteristic
1051C2×C22⋊C4C23×C4711yescharacteristic
1052C2×C22⋊C4C23×C4711yescharacteristic
1053C2×C22⋊C4C23×C4711yescharacteristic
1054C2×C22⋊C4C23×C4711yescharacteristic
1055C2×C22⋊C4C23×C4711yescharacteristic
1056C2×C22⋊C4C23×C4711yescharacteristic
1057C2×C22⋊C4C23×C4711yescharacteristic
1058C2×C22⋊C4C23×C4711yescharacteristic
1059C2×C22⋊C4C23×C4711yescharacteristic
1060C2×C22⋊C4C23×C4711yescharacteristic
1061C2×C22⋊C4C23×C4711yescharacteristic
1062C2×C42—42no—
1063C2×C42—42no—
1064C2×C42C23×C4711yescharacteristic
1065C2×C42C23×C4711yescharacteristic
1066C2×C42C23×C4711yescharacteristic
1067C2×C42C23×C4711yescharacteristic
1068C2×C42C23×C4711yescharacteristic
1069C2×C42C23×C4711yescharacteristic
1070C2×C42C23×C4711yescharacteristic
1071C2×C42C23×C4711yescharacteristic
1072C2×C42C23×C4711yescharacteristic
1073C2×C42C23×C4711yescharacteristic
1074C2×C42C23×C4711yescharacteristic
1075C2×C42C23×C4711yescharacteristic
1076C2×C42C23×C4711yescharacteristic
1077C2×C42C23×C4711yescharacteristic
1078C2×C42C23×C4711yescharacteristic
1079C2×C42C23×C4711yescharacteristic
1080C2×C42C23×C4711yescharacteristic
1081C2×C42C23×C4711yescharacteristic
1082#95C23×C4711yescharacteristic
1083#95C23×C4711yescharacteristic
1084#95C23×C4711yescharacteristic
1085#95C23×C4711yescharacteristic
1086#95C23×C4711yescharacteristic
1087#95C23×C4711yescharacteristic
1088#95C23×C4711yescharacteristic
1089#95C23×C4711yescharacteristic
1090#95C23×C4711yescharacteristic
1091#95C23×C4711yescharacteristic
1092#95C23×C4711yescharacteristic
1093#95C23×C4711yescharacteristic
1094#95C23×C4711yescharacteristic
1095#95C23×C4711yescharacteristic
1096#95C23×C4711yescharacteristic
1097#95C23×C4711yescharacteristic
1098#95C23×C4711yescharacteristic
1099#95C23×C4711yescharacteristic
1100#95C23×C4711yescharacteristic
1101#95C23×C4711yescharacteristic
1102#95C23×C4711yescharacteristic
1103#95C23×C4711yescharacteristic
1104#95C23×C4711yescharacteristic
1105#95C23×C4711yescharacteristic
1106#95C23×C4711yescharacteristic
1107#95C23×C4711yescharacteristic
1108#95C23×C4711yescharacteristic
1109#95C23×C4711yescharacteristic
1110#95C23×C4711yescharacteristic
1111#95C23×C4711yescharacteristic
1112#95C23×C4711yescharacteristic
1113#95C23×C4711yescharacteristic
1114#95C23×C4711yescharacteristic
1115#95C23×C4711yescharacteristic
1116#95C23×C4711yescharacteristic
1117#95C23×C4711yescharacteristic
1118#95C23×C4711yescharacteristic
1119#95C23×C4711yescharacteristic
1120#95C23×C4711yescharacteristic
1121#95C23×C4711yescharacteristic
1122#95C23×C4711yescharacteristic
1123#95C23×C4711yescharacteristic
1124#95C23×C4711yescharacteristic
1125#95C23×C4711yescharacteristic
1126C24C24×C4711yescharacteristic
1127C24C24×C4711yescharacteristic
1128C24C24×C4711yescharacteristic
1129C24C24×C4711yescharacteristic
1130C24C24×C4711yescharacteristic
1131C2×Q8—22no—
1132C2×Q8—22no—
1133C2×Q8—41no—
1134C2×Q8—41no—
1135C2×Q8—41no—
1136C2×Q8—41no—
1137C2×D4—22no—
1138C2×D4—22no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—22no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
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—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4#41×C4714yes—
1194C22×C4C24×C4711yescharacteristic
1195C22×C4C24×C4711yescharacteristic
1196C22×C4C24×C4711yescharacteristic
1197C22×C4C24×C4711yescharacteristic
1198C22×C4C24×C4711yescharacteristic
1199C22×C4C24×C4711yescharacteristic
1200C22×C4C24×C4711yescharacteristic
1201C22×C4C24×C4711yescharacteristic
1202C22×C4C24×C4711yescharacteristic
1203C22×C4C24×C4711yescharacteristic
1204C22×C4C24×C4711yescharacteristic
1205C22×C4C24×C4711yescharacteristic
1206C22×C4C24×C4711yescharacteristic
1207C22×C4C24×C4711yescharacteristic
1208C22×C4C24×C4711yescharacteristic
1209C22×C4C24×C4711yescharacteristic
1210C22×C4C24×C4711yescharacteristic
1211C22×C4C24×C4711yescharacteristic
1212C22×C4C24×C4711yescharacteristic
1213C22×C4C24×C4711yescharacteristic
1214C22×C4C24×C4711yescharacteristic
1215C22×C4C24×C4711yescharacteristic
1216C22×C4C24×C4711yescharacteristic
1217C22×C4C24×C4711yescharacteristic
1218C22×C4C24×C4711yescharacteristic
1219C22×C4C24×C4711yescharacteristic
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4#41×C4714yes—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4#41×C4714yes—
1292C42—22no—
1293C42—22no—
1294C42—22no—
1295C42—22no—
1296C42—22no—
1297C42—22no—
1298C42—22no—
1299C42—22no—
1300C42—41no—
1301C42—41no—
1302C42—41no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23C2×#41×C4712yes—
1344C23C2×#41×C4712yes—
1345C23C25×C4711yescharacteristic
1346Q8—82no—
1347Q8—82no—
1348D4—28no—
1349D4—44no—
1350D4—44no—
1351D4—44no—
1352D4—44no—
1353D4—82no—
1354D4—82no—
1355D4—82no—
1356D4—82no—
1357D4—82no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—44no—
1428C2×C4—44no—
1429C2×C4—44no—
1430C2×C4—44no—
1431C2×C4—44no—
1432C2×C4—44no—
1433C2×C4—82no—
1434C2×C4—82no—
1435C2×C4—82no—
1436C2×C4C2×#41×C4712yes—
1437C2×C4C2×#41×C4712yes—
1438C2×C4C2×#41×C4712yes—
1439C2×C4C2×#41×C4712yes—
1440C2×C4C2×#41×C4712yes—
1441C2×C4C2×#41×C4712yes—
1442C2×C4C2×#41×C4712yes—
1443C2×C4H(5,𝔽2)×C4712yes—
1444C2×C4H(5,𝔽2)×C4712yes—
1445C22—22no—
1446C22—22no—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22C22×#41×C4711yescharacteristic
1481C22C22×#41×C4711yescharacteristic
1482C22C22×#41×C4711yescharacteristic
1483C22C2×H(5,𝔽2)×C4711yescharacteristic
1484C22C2×H(5,𝔽2)×C4711yescharacteristic
1485C22C47×#58511yescharacteristic
1486C22C47×#58511yescharacteristic
1487C4—22no—
1488C4—22no—
1489C4—22no—
1490C4—22no—
1491C4—22no—
1492C4—22no—
1493C4—22no—
1494C4—22no—
1495C4—22no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C2—42no—
1514C2—42no—
1515C2—81no—
1516C2—81no—
1517C2—81no—
1518C2C47×#344411yescharacteristic
1519C2C47×#345911yescharacteristic
1520C2C47×#346011yescharacteristic
1521C2C47×#351311yescharacteristic
1522C2C47×#351411yescharacteristic
1523C2C47×#351911yescharacteristic
1524C2C47×#352411yescharacteristic
subgroupG/H
center, socleC23×C47C25
commutator, Frattini, cosocleC23C25×C47
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#2865C2semidirect
2. C47×#2861C2semidirect
3. C47×#2853C2semidirect
4. C47×#2850C2semidirect
5. C47×#2665C2semidirect
6. C47×#2661C2semidirect
7. C47×#2635C2semidirect
8. C47×#2630C2semidirect
9. C47×#2593C2semidirect
10. C47×#2573C2semidirect
11. C47×#2556C2semidirect
12. C47×#2555C2semidirect
13. C47×#2520C2semidirect
14. C47×#2518C2semidirect
15. C47×#2516C2semidirect
16. C47×#2463C2semidirect
17. C47×#2461C2semidirect
18. C47×#2460C2semidirect
19. C47×#2459C2semidirect
20. C47×#2459C2semidirect
21. C47×#2459C2semidirect
22. C47×#2457C2semidirect
23. C47×#2456C2semidirect
24. C47×#2456C2semidirect
25. C47×#2337C2semidirect
26. C47×#2335C2semidirect
27. C47×#2333C2semidirect
28. C47×#2332C2semidirect
29. C4×#123×C47C2semidirect
30. C4×#121×C47C2semidirect
31. C42×D4×C47C2semidirect
682. #35071C47direct (N × H)
751. #2865C2×C47semidirect
752. #2861C2×C47semidirect
753. #2853C2×C47semidirect
754. #2850C2×C47semidirect
755. #2665C2×C47semidirect
756. #2661C2×C47semidirect
757. #2635C2×C47semidirect
758. #2630C2×C47semidirect
759. #2593C2×C47semidirect
760. #2573C2×C47semidirect
761. #2556C2×C47semidirect
762. #2555C2×C47semidirect
763. #2520C2×C47semidirect
764. #2518C2×C47semidirect
765. #2516C2×C47semidirect
766. #2463C2×C47semidirect
767. #2461C2×C47semidirect
768. #2460C2×C47semidirect
769. #2459C2×C47semidirect
770. #2459C2×C47semidirect
771. #2459C2×C47semidirect
772. #2457C2×C47semidirect
773. #2456C2×C47semidirect
774. #2456C2×C47semidirect
775. #2337C2×C47semidirect
776. #2335C2×C47semidirect
777. #2333C2×C47semidirect
778. #2332C2×C47semidirect
779. C4×#123C2×C47semidirect
780. C4×#121C2×C47semidirect
781. C42×D4C2×C47semidirect
949. C47#35071direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#28652
C47×#28612
C47×#28532
C47×#28502
C47×#26652
C47×#26612
C47×#26352
C47×#26302
C47×#25932
C47×#25732
C47×#25562
C47×#25552
C47×#25202
C47×#25182
C47×#25162
C47×#24632
C47×#24612
C47×#24602
C47×#24592
C47×#24572
C47×#24562
C47×#23372
C47×#23352
C47×#23332
C47×#23322
C4×#123×C472
C4×#121×C472
C42×D4×C472
#3507147