Finite Group Databasebeta

← C47×#36839 #26076537

Subgroups — C47×#36839 #26076537

Order 12032.

1980 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#2849C211yesmaximal, characteristic, complemented
2C47×#2849C211yesmaximal, characteristic, complemented
3C47×#2782C211yesmaximal, characteristic, complemented
4C47×#2780C211yesmaximal, characteristic, complemented
5C47×#2771C211yesmaximal, characteristic, complemented
6C47×#2757C211yesmaximal, characteristic, complemented
7C47×#2750C211yesmaximal, characteristic, complemented
8C47×#2749C211yesmaximal, characteristic, complemented
9C47×#2743C211yesmaximal, characteristic, complemented
10C47×#2735C211yesmaximal, characteristic, complemented
11C47×#2724C211yesmaximal, characteristic, complemented
12C47×#2708C211yesmaximal, characteristic, complemented
13C47×#2706C211yesmaximal, characteristic, complemented
14C47×#2703C211yesmaximal, characteristic, complemented
15C47×#2688C211yesmaximal, characteristic, complemented
16C47×#2678C211yesmaximal, characteristic, complemented
17C47×#2678C211yesmaximal, characteristic, complemented
18C47×#2668C211yesmaximal, characteristic, complemented
19C47×#2652C211yesmaximal, characteristic, complemented
20C47×#2648C211yesmaximal, characteristic, complemented
21C47×#2516C211yesmaximal, characteristic, complemented
22C47×#2515C211yesmaximal, characteristic, complemented
23C47×#2471C211yesmaximal, characteristic, complemented
24C47×#2470C211yesmaximal, characteristic, complemented
25C47×#2456C211yesmaximal, characteristic, complemented
26C47×#2455C211yesmaximal, characteristic, complemented
27C47×#2444C211yesmaximal, characteristic, complemented
28C47×#2419C211yesmaximal, characteristic, complemented
29C47×#2325C211yesmaximal, characteristic, complemented
30C47×#2324C211yesmaximal, characteristic, complemented
31C4×#120×C47C211yesmaximal, characteristic, complemented
32C24×C4×C47C2211yescharacteristic
33C2×#123×C47C2211yescharacteristic
34C2×#123×C47C2211yescharacteristic
35C2×#123×C47C2211yescharacteristic
36C2×#123×C47C2211yescharacteristic
37C2×#123×C47C2211yescharacteristic
38C2×#123×C47C2211yescharacteristic
39C2×#121×C47C2211yescharacteristic
40C2×#121×C47C2211yescharacteristic
41C2×#121×C47C2211yescharacteristic
42C2×#121×C47C2211yescharacteristic
43C2×#120×C47C2211yescharacteristic
44C2×#120×C47C2211yescharacteristic
45C2×#120×C47C2211yescharacteristic
46C2×C4×D4×C47C2211yescharacteristic
47C2×C4×D4×C47C2211yescharacteristic
48C2×C4×D4×C47C2211yescharacteristic
49C2×C4×D4×C47C2211yescharacteristic, complemented
50C2×#117×C47C2211yescharacteristic, complemented
51C47×#400C2211yescharacteristic, complemented
52C47×#400C2211yescharacteristic, complemented
53C47×#400C2211yescharacteristic, complemented
54C47×#400C2211yescharacteristic, complemented
55C47×#400C2211yescharacteristic, complemented
56C47×#400C2211yescharacteristic, complemented
57C47×#400C2211yescharacteristic, complemented
58C47×#400C2211yescharacteristic, complemented
59C47×#400C2211yescharacteristic, complemented
60C47×#399C2211yescharacteristic
61C47×#399C2211yescharacteristic
62C47×#399C2211yescharacteristic, complemented
63C47×#398C2211yescharacteristic, complemented
64C47×#398C2211yescharacteristic, complemented
65C47×#398C2211yescharacteristic, complemented
66C47×#397C2211yescharacteristic
67C47×#397C2211yescharacteristic
68C47×#397C2211yescharacteristic
69C47×#397C2211yescharacteristic
70C47×#397C2211yescharacteristic
71C47×#397C2211yescharacteristic
72C47×#397C2211yescharacteristic
73C47×#397C2211yescharacteristic, complemented
74C47×#397C2211yescharacteristic, complemented
75C47×#397C2211yescharacteristic, complemented
76C47×#397C2211yescharacteristic, complemented
77C47×#397C2211yescharacteristic, complemented
78C47×#397C2211yescharacteristic, complemented
79C47×#396C2211yescharacteristic
80C47×#396C2211yescharacteristic
81C47×#396C2211yescharacteristic
82C47×#396C2211yescharacteristic
83C47×#396C2211yescharacteristic, complemented
84C47×#396C2211yescharacteristic, complemented
85C47×#394C2211yescharacteristic
86C47×#394C2211yescharacteristic
87C47×#394C2211yescharacteristic
88C47×#394C2211yescharacteristic
89C47×#394C2211yescharacteristic
90C47×#394C2211yescharacteristic
91C47×#394C2211yescharacteristic, complemented
92C47×#394C2211yescharacteristic, complemented
93C47×#392C2211yescharacteristic
94C47×#392C2211yescharacteristic
95C47×#392C2211yescharacteristic
96C47×#392C2211yescharacteristic
97C47×#392C2211yescharacteristic
98C47×#392C2211yescharacteristic, complemented
99C47×#390C2211yescharacteristic
100C47×#390C2211yescharacteristic
101C47×#390C2211yescharacteristic
102C47×#390C2211yescharacteristic
103C47×#390C2211yescharacteristic, complemented
104C47×#390C2211yescharacteristic, complemented
105C47×#389C2211yescharacteristic, complemented
106C47×#389C2211yescharacteristic, complemented
107C47×#389C2211yescharacteristic, complemented
108C47×#389C2211yescharacteristic, complemented
109C47×#388C2211yescharacteristic
110C47×#388C2211yescharacteristic
111C47×#388C2211yescharacteristic
112C47×#388C2211yescharacteristic
113C47×#388C2211yescharacteristic
114C47×#388C2211yescharacteristic
115C47×#388C2211yescharacteristic
116C47×#388C2211yescharacteristic
117C47×#388C2211yescharacteristic, complemented
118C47×#388C2211yescharacteristic, complemented
119C47×#388C2211yescharacteristic, complemented
120C47×#388C2211yescharacteristic, complemented
121C47×#388C2211yescharacteristic, complemented
122C47×#388C2211yescharacteristic, complemented
123C47×#387C2211yescharacteristic, complemented
124C47×#387C2211yescharacteristic, complemented
125C47×#387C2211yescharacteristic, complemented
126C47×#387C2211yescharacteristic, complemented
127C47×#387C2211yescharacteristic, complemented
128C47×#387C2211yescharacteristic, complemented
129C47×#387C2211yescharacteristic, complemented
130C47×#387C2211yescharacteristic, complemented
131C47×#386C2211yescharacteristic
132C47×#386C2211yescharacteristic
133C47×#386C2211yescharacteristic
134C47×#386C2211yescharacteristic
135C47×#386C2211yescharacteristic
136C47×#386C2211yescharacteristic
137C47×#386C2211yescharacteristic
138C47×#386C2211yescharacteristic
139C47×#386C2211yescharacteristic
140C47×#386C2211yescharacteristic
141C47×#386C2211yescharacteristic
142C47×#386C2211yescharacteristic
143C47×#386C2211yescharacteristic
144C47×#386C2211yescharacteristic
145C47×#386C2211yescharacteristic
146C47×#386C2211yescharacteristic
147C47×#386C2211yescharacteristic
148C47×#386C2211yescharacteristic, complemented
149C47×#386C2211yescharacteristic, complemented
150C47×#386C2211yescharacteristic, complemented
151C47×#386C2211yescharacteristic, complemented
152C47×#385C2211yescharacteristic
153C47×#385C2211yescharacteristic
154C47×#385C2211yescharacteristic
155C47×#385C2211yescharacteristic
156C47×#385C2211yescharacteristic
157C47×#385C2211yescharacteristic
158C47×#385C2211yescharacteristic
159C47×#385C2211yescharacteristic
160C47×#385C2211yescharacteristic
161C47×#385C2211yescharacteristic
162C47×#385C2211yescharacteristic
163C47×#385C2211yescharacteristic, complemented
164C47×#385C2211yescharacteristic, complemented
165C47×#385C2211yescharacteristic, complemented
166C47×#385C2211yescharacteristic, complemented
167C47×#385C2211yescharacteristic, complemented
168C47×#385C2211yescharacteristic, complemented
169C47×#383C2211yescharacteristic, complemented
170C47×#382C2211yescharacteristic, complemented
171C47×#381C2211yescharacteristic
172C47×#381C2211yescharacteristic
173C47×#381C2211yescharacteristic
174C47×#381C2211yescharacteristic
175C47×#381C2211yescharacteristic, complemented
176C47×#380C2211yescharacteristic, complemented
177C47×#380C2211yescharacteristic, complemented
178C47×#380C2211yescharacteristic, complemented
179C47×#379C2211yescharacteristic
180C47×#379C2211yescharacteristic
181C47×#379C2211yescharacteristic
182C4×C4⋊C4×C47C2211yescharacteristic, complemented
183C4×C22⋊C4×C47C2211yescharacteristic
184C4×C22⋊C4×C47C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C2×#95×C47C2211yescharacteristic, complemented
187C25×C47C2311yescharacteristic
188C22×D4×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
199C22×D4×C47C2311yescharacteristic
200C23×C4×C47—42no—
201C23×C4×C47—42no—
202C23×C4×C47—42no—
203C23×C4×C47C2311yescharacteristic
204C23×C4×C47C2311yescharacteristic
205C23×C4×C47C2311yescharacteristic
206C23×C4×C47C2311yescharacteristic
207C23×C4×C47C2311yescharacteristic
208C23×C4×C47C2311yescharacteristic
209C23×C4×C47C2311yescharacteristic
210C23×C4×C47C2311yescharacteristic
211C23×C4×C47C2311yescharacteristic
212C23×C4×C47C2311yescharacteristic
213C23×C4×C47C2311yescharacteristic
214#123×C47—42no—
215#123×C47—42no—
216#123×C47—42no—
217#123×C47—42no—
218#123×C47—42no—
219#123×C47—42no—
220#121×C47—24no—
221#121×C47—24no—
222#121×C47—42no—
223#121×C47—42no—
224#120×C47—24no—
225#120×C47—42no—
226#120×C47—42no—
227C4×D4×C47—42no—
228C4×D4×C47—42no—
229C4×D4×C47—42no—
230C4×D4×C47—42no—
231#117×C47—42no—
232C2×C4⋊C4×C47C2311yescharacteristic
233C2×C4⋊C4×C47C2311yescharacteristic
234C2×C4⋊C4×C47C2311yescharacteristic
235C2×C4⋊C4×C47C2311yescharacteristic
236C2×C4⋊C4×C47C2311yescharacteristic
237C2×C4⋊C4×C47C2311yescharacteristic
238C2×C4⋊C4×C47C2311yescharacteristic
239C2×C4⋊C4×C47C2311yescharacteristic
240C2×C4⋊C4×C47C2311yescharacteristic
241C2×C4⋊C4×C47C2311yescharacteristic
242C2×C4⋊C4×C47C2311yescharacteristic
243C2×C4⋊C4×C47C2311yescharacteristic
244C2×C4⋊C4×C47C2311yescharacteristic
245C2×C4⋊C4×C47C2311yescharacteristic
246C2×C4⋊C4×C47C2311yescharacteristic
247C2×C4⋊C4×C47C2311yescharacteristic
248C2×C4⋊C4×C47C2311yescharacteristic
249C2×C4⋊C4×C47C2311yescharacteristic
250C2×C4⋊C4×C47C2311yescharacteristic
251C2×C4⋊C4×C47C2311yescharacteristic
252C2×C4⋊C4×C47C2311yescharacteristic
253C2×C4⋊C4×C47C2311yescharacteristic
254C2×C4⋊C4×C47C2311yescharacteristic
255C2×C4⋊C4×C47C2311yescharacteristic
256C2×C4⋊C4×C47C2311yescharacteristic
257C2×C4⋊C4×C47C2311yescharacteristic
258C2×C4⋊C4×C47C2311yescharacteristic
259C2×C4⋊C4×C47C2311yescharacteristic
260C2×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×C22⋊C4×C47C2311yescharacteristic
300C2×C22⋊C4×C47C2311yescharacteristic
301C2×C22⋊C4×C47C2311yescharacteristic
302C2×C22⋊C4×C47C2311yescharacteristic
303C2×C22⋊C4×C47C2311yescharacteristic
304C2×C22⋊C4×C47C2311yescharacteristic
305C2×C22⋊C4×C47C2311yescharacteristic
306C2×C22⋊C4×C47C2311yescharacteristic
307C2×C22⋊C4×C47C2311yescharacteristic
308C2×C22⋊C4×C47C2311yescharacteristic
309C2×C22⋊C4×C47C2311yescharacteristic
310C2×C22⋊C4×C47C2311yescharacteristic
311C2×C22⋊C4×C47C2311yescharacteristic
312C2×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×C47—22no—
364C24×C47—22no—
365C24×C47—22no—
366C24×C47—41no—
367C24×C47—41no—
368C24×C47—41no—
369C24×C47—41no—
370C24×C47C2411yescharacteristic
371C24×C47C2411yescharacteristic
372C24×C47C2411yescharacteristic
373C24×C47C2411yescharacteristic
374C24×C47C2411yescharacteristic
375C24×C47C2411yescharacteristic
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—22no—
387C2×D4×C47—22no—
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—
404C2×D4×C47—41no—
405C2×D4×C47—41no—
406C2×D4×C47—41no—
407C2×D4×C47—41no—
408C2×D4×C47—41no—
409C2×D4×C47—41no—
410C2×D4×C47—41no—
411C2×D4×C47#4114yes—
412C22×C4×C47—22no—
413C22×C4×C47—22no—
414C22×C4×C47—22no—
415C22×C4×C47—22no—
416C22×C4×C47—22no—
417C22×C4×C47—22no—
418C22×C4×C47—22no—
419C22×C4×C47—22no—
420C22×C4×C47—22no—
421C22×C4×C47—22no—
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—41no—
431C22×C4×C47—41no—
432C22×C4×C47—41no—
433C22×C4×C47—41no—
434C22×C4×C47—41no—
435C22×C4×C47—41no—
436C22×C4×C47—41no—
437C22×C4×C47—41no—
438C22×C4×C47—41no—
439C22×C4×C47—41no—
440C22×C4×C47—41no—
441C22×C4×C47—41no—
442C22×C4×C47—41no—
443C22×C4×C47—41no—
444C22×C4×C47—41no—
445C22×C4×C47—416no—
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
457C22×C4×C47C2411yescharacteristic
458C22×C4×C47C2411yescharacteristic
459C22×C4×C47C2411yescharacteristic
460C22×C4×C47C2411yescharacteristic
461C22×C4×C47C2411yescharacteristic
462C22×C4×C47C2411yescharacteristic
463C22×C4×C47C2411yescharacteristic
464C22×C4×C47C2411yescharacteristic
465C22×C4×C47C2411yescharacteristic
466C22×C4×C47C2411yescharacteristic
467C22×C4×C47C2411yescharacteristic
468C22×C4×C47C2411yescharacteristic
469C22×C4×C47C2411yescharacteristic
470C22×C4×C47C2411yescharacteristic
471C4⋊C4×C47—22no—
472C4⋊C4×C47—22no—
473C4⋊C4×C47—22no—
474C4⋊C4×C47—22no—
475C4⋊C4×C47—41no—
476C4⋊C4×C47—41no—
477C4⋊C4×C47—41no—
478C4⋊C4×C47—41no—
479C4⋊C4×C47—41no—
480C4⋊C4×C47—41no—
481C4⋊C4×C47—41no—
482C4⋊C4×C47—41no—
483C4⋊C4×C47—41no—
484C4⋊C4×C47—41no—
485C4⋊C4×C47—41no—
486C4⋊C4×C47—41no—
487C4⋊C4×C47—41no—
488C4⋊C4×C47—41no—
489C4⋊C4×C47—41no—
490C4⋊C4×C47—41no—
491C4⋊C4×C47—41no—
492C4⋊C4×C47—41no—
493C4⋊C4×C47—41no—
494C4⋊C4×C47—41no—
495C4⋊C4×C47—41no—
496C4⋊C4×C47—41no—
497C4⋊C4×C47—41no—
498C4⋊C4×C47—41no—
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—22no—
509C22⋊C4×C47—22no—
510C22⋊C4×C47—22no—
511C22⋊C4×C47—22no—
512C22⋊C4×C47—22no—
513C22⋊C4×C47—22no—
514C22⋊C4×C47—41no—
515C22⋊C4×C47—41no—
516C22⋊C4×C47—41no—
517C22⋊C4×C47—41no—
518C22⋊C4×C47—41no—
519C22⋊C4×C47—41no—
520C22⋊C4×C47—41no—
521C22⋊C4×C47—41no—
522C22⋊C4×C47—41no—
523C22⋊C4×C47—41no—
524C22⋊C4×C47—41no—
525C22⋊C4×C47—41no—
526C22⋊C4×C47—41no—
527C22⋊C4×C47—41no—
528C22⋊C4×C47—41no—
529C22⋊C4×C47—41no—
530C22⋊C4×C47—41no—
531C22⋊C4×C47—41no—
532C22⋊C4×C47—41no—
533C22⋊C4×C47—41no—
534C22⋊C4×C47—41no—
535C22⋊C4×C47—41no—
536C22⋊C4×C47—41no—
537C22⋊C4×C47—41no—
538C22⋊C4×C47—41no—
539C22⋊C4×C47—41no—
540C22⋊C4×C47—41no—
541C22⋊C4×C47—41no—
542C22⋊C4×C47—41no—
543C22⋊C4×C47—41no—
544C22⋊C4×C47—41no—
545C22⋊C4×C47—41no—
546C22⋊C4×C47—41no—
547C22⋊C4×C47—41no—
548C22⋊C4×C47—41no—
549C22⋊C4×C47—41no—
550C22⋊C4×C47—41no—
551C42×C47—22no—
552C42×C47—41no—
553C42×C47—41no—
554C42×C47—41no—
555C42×C47—41no—
556C42×C47—41no—
557C42×C47—41no—
558C23×C47—21no—
559C23×C47—21no—
560C23×C47—21no—
561C23×C47—21no—
562C23×C47—21no—
563C23×C47—21no—
564C23×C47—21no—
565C23×C47—21no—
566C23×C47—21no—
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47—21no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—44no—
597C23×C47—44no—
598C23×C47—44no—
599C23×C47—44no—
600C23×C47—44no—
601C23×C47—44no—
602C23×C47—44no—
603C23×C47C2×#4112yes—
604C23×C47C2×#4112yes—
605C23×C47H(5,𝔽2)12yes—
606C23×C47H(5,𝔽2)12yes—
607C23×C47C2511yescharacteristic
608D4×C47—44no—
609D4×C47—44no—
610D4×C47—44no—
611D4×C47—44no—
612D4×C47—82no—
613D4×C47—82no—
614D4×C47—82no—
615D4×C47—82no—
616D4×C47—82no—
617D4×C47—82no—
618D4×C47—82no—
619D4×C47—82no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—44no—
694C2×C4×C47—44no—
695C2×C4×C47—44no—
696C2×C4×C47—44no—
697C2×C4×C47—44no—
698C2×C4×C47—44no—
699C2×C4×C47—44no—
700C2×C4×C47—82no—
701C2×C4×C47—82no—
702C2×C4×C47—82no—
703C2×C4×C47—82no—
704C2×C4×C47C2×#4112yes—
705C2×C4×C47H(5,𝔽2)12yes—
706#36839C4711yesmaximal, characteristic, direct product factor, Sylow
707C22×C47—22no—
708C22×C47—22no—
709C22×C47—22no—
710C22×C47—22no—
711C22×C47—22no—
712C22×C47—22no—
713C22×C47—22no—
714C22×C47—22no—
715C22×C47—22no—
716C22×C47—22no—
717C22×C47—22no—
718C22×C47—22no—
719C22×C47—416no—
720C22×C47—41no—
721C22×C47—41no—
722C22×C47—41no—
723C22×C47—41no—
724C22×C47—41no—
725C22×C47—41no—
726C22×C47—41no—
727C22×C47—41no—
728C22×C47—41no—
729C22×C47—41no—
730C22×C47—41no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47—41no—
747C22×C47—41no—
748C22×C47—41no—
749C22×C47—41no—
750C22×C47C22×#4111yescharacteristic
751C22×C47C2×H(5,𝔽2)11yescharacteristic
752C22×C47C2×H(5,𝔽2)11yescharacteristic
753C22×C47C2×H(5,𝔽2)11yescharacteristic
754C22×C47#58511yescharacteristic
755C22×C47#58511yescharacteristic
756C22×C47#58511yescharacteristic
757C4×C47—22no—
758C4×C47—22no—
759C4×C47—41no—
760C4×C47—41no—
761C4×C47—41no—
762C4×C47—41no—
763C4×C47—41no—
764C4×C47—41no—
765C4×C47—41no—
766C4×C47—41no—
767C4×C47—41no—
768C4×C47—41no—
769C4×C47—41no—
770C4×C47—41no—
771C4×C47—41no—
772C4×C47—41no—
773C4×C47—41no—
774C4×C47—41no—
775C4×C47—41no—
776C4×C47—41no—
777C4×C47—41no—
778C4×C47—41no—
779C4×C47—41no—
780C4×C47—41no—
781C4×C47—41no—
782#2849C2×C4711yescharacteristic, complemented
783#2849C2×C4711yescharacteristic, complemented
784#2782C2×C4711yescharacteristic, complemented
785#2780C2×C4711yescharacteristic, complemented
786#2771C2×C4711yescharacteristic, complemented
787#2757C2×C4711yescharacteristic, complemented
788#2750C2×C4711yescharacteristic, complemented
789#2749C2×C4711yescharacteristic, complemented
790#2743C2×C4711yescharacteristic, complemented
791#2735C2×C4711yescharacteristic, complemented
792#2724C2×C4711yescharacteristic, complemented
793#2708C2×C4711yescharacteristic, complemented
794#2706C2×C4711yescharacteristic, complemented
795#2703C2×C4711yescharacteristic, complemented
796#2688C2×C4711yescharacteristic, complemented
797#2678C2×C4711yescharacteristic, complemented
798#2678C2×C4711yescharacteristic, complemented
799#2668C2×C4711yescharacteristic, complemented
800#2652C2×C4711yescharacteristic, complemented
801#2648C2×C4711yescharacteristic, complemented
802#2516C2×C4711yescharacteristic, complemented
803#2515C2×C4711yescharacteristic, complemented
804#2471C2×C4711yescharacteristic, complemented
805#2470C2×C4711yescharacteristic, complemented
806#2456C2×C4711yescharacteristic, complemented
807#2455C2×C4711yescharacteristic, complemented
808#2444C2×C4711yescharacteristic, complemented
809#2419C2×C4711yescharacteristic, complemented
810#2325C2×C4711yescharacteristic, complemented
811#2324C2×C4711yescharacteristic, complemented
812C4×#120C2×C4711yescharacteristic, complemented
813C2×C47—42no—
814C2×C47—42no—
815C2×C47—42no—
816C2×C47—42no—
817C2×C47—81no—
818C2×C47—81no—
819C2×C47#345911yescharacteristic
820C2×C47#351311yescharacteristic
821C2×C47#351311yescharacteristic
822C2×C47#353211yescharacteristic
823C2×C47#353311yescharacteristic
824C2×C47#353311yescharacteristic
825C2×C47#353911yescharacteristic
826C24×C4C22×C4711yescharacteristic
827C2×#123C22×C4711yescharacteristic
828C2×#123C22×C4711yescharacteristic
829C2×#123C22×C4711yescharacteristic
830C2×#123C22×C4711yescharacteristic
831C2×#123C22×C4711yescharacteristic
832C2×#123C22×C4711yescharacteristic
833C2×#121C22×C4711yescharacteristic
834C2×#121C22×C4711yescharacteristic
835C2×#121C22×C4711yescharacteristic
836C2×#121C22×C4711yescharacteristic
837C2×#120C22×C4711yescharacteristic
838C2×#120C22×C4711yescharacteristic
839C2×#120C22×C4711yescharacteristic
840C2×C4×D4C22×C4711yescharacteristic
841C2×C4×D4C22×C4711yescharacteristic
842C2×C4×D4C22×C4711yescharacteristic
843C2×C4×D4C22×C4711yescharacteristic, complemented
844C2×#117C22×C4711yescharacteristic, complemented
845#400C22×C4711yescharacteristic, complemented
846#400C22×C4711yescharacteristic, complemented
847#400C22×C4711yescharacteristic, complemented
848#400C22×C4711yescharacteristic, complemented
849#400C22×C4711yescharacteristic, complemented
850#400C22×C4711yescharacteristic, complemented
851#400C22×C4711yescharacteristic, complemented
852#400C22×C4711yescharacteristic, complemented
853#400C22×C4711yescharacteristic, complemented
854#399C22×C4711yescharacteristic
855#399C22×C4711yescharacteristic
856#399C22×C4711yescharacteristic, complemented
857#398C22×C4711yescharacteristic, complemented
858#398C22×C4711yescharacteristic, complemented
859#398C22×C4711yescharacteristic, complemented
860#397C22×C4711yescharacteristic
861#397C22×C4711yescharacteristic
862#397C22×C4711yescharacteristic
863#397C22×C4711yescharacteristic
864#397C22×C4711yescharacteristic
865#397C22×C4711yescharacteristic
866#397C22×C4711yescharacteristic
867#397C22×C4711yescharacteristic, complemented
868#397C22×C4711yescharacteristic, complemented
869#397C22×C4711yescharacteristic, complemented
870#397C22×C4711yescharacteristic, complemented
871#397C22×C4711yescharacteristic, complemented
872#397C22×C4711yescharacteristic, complemented
873#396C22×C4711yescharacteristic
874#396C22×C4711yescharacteristic
875#396C22×C4711yescharacteristic
876#396C22×C4711yescharacteristic
877#396C22×C4711yescharacteristic, complemented
878#396C22×C4711yescharacteristic, complemented
879#394C22×C4711yescharacteristic
880#394C22×C4711yescharacteristic
881#394C22×C4711yescharacteristic
882#394C22×C4711yescharacteristic
883#394C22×C4711yescharacteristic
884#394C22×C4711yescharacteristic
885#394C22×C4711yescharacteristic, complemented
886#394C22×C4711yescharacteristic, complemented
887#392C22×C4711yescharacteristic
888#392C22×C4711yescharacteristic
889#392C22×C4711yescharacteristic
890#392C22×C4711yescharacteristic
891#392C22×C4711yescharacteristic
892#392C22×C4711yescharacteristic, complemented
893#390C22×C4711yescharacteristic
894#390C22×C4711yescharacteristic
895#390C22×C4711yescharacteristic
896#390C22×C4711yescharacteristic
897#390C22×C4711yescharacteristic, complemented
898#390C22×C4711yescharacteristic, complemented
899#389C22×C4711yescharacteristic, complemented
900#389C22×C4711yescharacteristic, complemented
901#389C22×C4711yescharacteristic, complemented
902#389C22×C4711yescharacteristic, complemented
903#388C22×C4711yescharacteristic
904#388C22×C4711yescharacteristic
905#388C22×C4711yescharacteristic
906#388C22×C4711yescharacteristic
907#388C22×C4711yescharacteristic
908#388C22×C4711yescharacteristic
909#388C22×C4711yescharacteristic
910#388C22×C4711yescharacteristic
911#388C22×C4711yescharacteristic, complemented
912#388C22×C4711yescharacteristic, complemented
913#388C22×C4711yescharacteristic, complemented
914#388C22×C4711yescharacteristic, complemented
915#388C22×C4711yescharacteristic, complemented
916#388C22×C4711yescharacteristic, complemented
917#387C22×C4711yescharacteristic, complemented
918#387C22×C4711yescharacteristic, complemented
919#387C22×C4711yescharacteristic, complemented
920#387C22×C4711yescharacteristic, complemented
921#387C22×C4711yescharacteristic, complemented
922#387C22×C4711yescharacteristic, complemented
923#387C22×C4711yescharacteristic, complemented
924#387C22×C4711yescharacteristic, complemented
925#386C22×C4711yescharacteristic
926#386C22×C4711yescharacteristic
927#386C22×C4711yescharacteristic
928#386C22×C4711yescharacteristic
929#386C22×C4711yescharacteristic
930#386C22×C4711yescharacteristic
931#386C22×C4711yescharacteristic
932#386C22×C4711yescharacteristic
933#386C22×C4711yescharacteristic
934#386C22×C4711yescharacteristic
935#386C22×C4711yescharacteristic
936#386C22×C4711yescharacteristic
937#386C22×C4711yescharacteristic
938#386C22×C4711yescharacteristic
939#386C22×C4711yescharacteristic
940#386C22×C4711yescharacteristic
941#386C22×C4711yescharacteristic
942#386C22×C4711yescharacteristic, complemented
943#386C22×C4711yescharacteristic, complemented
944#386C22×C4711yescharacteristic, complemented
945#386C22×C4711yescharacteristic, complemented
946#385C22×C4711yescharacteristic
947#385C22×C4711yescharacteristic
948#385C22×C4711yescharacteristic
949#385C22×C4711yescharacteristic
950#385C22×C4711yescharacteristic
951#385C22×C4711yescharacteristic
952#385C22×C4711yescharacteristic
953#385C22×C4711yescharacteristic
954#385C22×C4711yescharacteristic
955#385C22×C4711yescharacteristic
956#385C22×C4711yescharacteristic
957#385C22×C4711yescharacteristic, complemented
958#385C22×C4711yescharacteristic, complemented
959#385C22×C4711yescharacteristic, complemented
960#385C22×C4711yescharacteristic, complemented
961#385C22×C4711yescharacteristic, complemented
962#385C22×C4711yescharacteristic, complemented
963#383C22×C4711yescharacteristic, complemented
964#382C22×C4711yescharacteristic, complemented
965#381C22×C4711yescharacteristic
966#381C22×C4711yescharacteristic
967#381C22×C4711yescharacteristic
968#381C22×C4711yescharacteristic
969#381C22×C4711yescharacteristic, complemented
970#380C22×C4711yescharacteristic, complemented
971#380C22×C4711yescharacteristic, complemented
972#380C22×C4711yescharacteristic, complemented
973#379C22×C4711yescharacteristic
974#379C22×C4711yescharacteristic
975#379C22×C4711yescharacteristic
976C4×C4⋊C4C22×C4711yescharacteristic, complemented
977C4×C22⋊C4C22×C4711yescharacteristic
978C4×C22⋊C4C22×C4711yescharacteristic
979C4×C22⋊C4C22×C4711yescharacteristic
980C2×#95C22×C4711yescharacteristic, complemented
981C47#3683911yescharacteristic, direct product factor, Sylow
982C25C23×C4711yescharacteristic
983C22×D4C23×C4711yescharacteristic
984C22×D4C23×C4711yescharacteristic
985C22×D4C23×C4711yescharacteristic
986C22×D4C23×C4711yescharacteristic
987C22×D4C23×C4711yescharacteristic
988C22×D4C23×C4711yescharacteristic
989C22×D4C23×C4711yescharacteristic
990C22×D4C23×C4711yescharacteristic
991C22×D4C23×C4711yescharacteristic
992C22×D4C23×C4711yescharacteristic
993C22×D4C23×C4711yescharacteristic
994C22×D4C23×C4711yescharacteristic
995C23×C4—42no—
996C23×C4—42no—
997C23×C4—42no—
998C23×C4C23×C4711yescharacteristic
999C23×C4C23×C4711yescharacteristic
1000C23×C4C23×C4711yescharacteristic
1001C23×C4C23×C4711yescharacteristic
1002C23×C4C23×C4711yescharacteristic
1003C23×C4C23×C4711yescharacteristic
1004C23×C4C23×C4711yescharacteristic
1005C23×C4C23×C4711yescharacteristic
1006C23×C4C23×C4711yescharacteristic
1007C23×C4C23×C4711yescharacteristic
1008C23×C4C23×C4711yescharacteristic
1009#123—42no—
1010#123—42no—
1011#123—42no—
1012#123—42no—
1013#123—42no—
1014#123—42no—
1015#121—24no—
1016#121—24no—
1017#121—42no—
1018#121—42no—
1019#120—24no—
1020#120—42no—
1021#120—42no—
1022C4×D4—42no—
1023C4×D4—42no—
1024C4×D4—42no—
1025C4×D4—42no—
1026#117—42no—
1027C2×C4⋊C4C23×C4711yescharacteristic
1028C2×C4⋊C4C23×C4711yescharacteristic
1029C2×C4⋊C4C23×C4711yescharacteristic
1030C2×C4⋊C4C23×C4711yescharacteristic
1031C2×C4⋊C4C23×C4711yescharacteristic
1032C2×C4⋊C4C23×C4711yescharacteristic
1033C2×C4⋊C4C23×C4711yescharacteristic
1034C2×C4⋊C4C23×C4711yescharacteristic
1035C2×C4⋊C4C23×C4711yescharacteristic
1036C2×C4⋊C4C23×C4711yescharacteristic
1037C2×C4⋊C4C23×C4711yescharacteristic
1038C2×C4⋊C4C23×C4711yescharacteristic
1039C2×C4⋊C4C23×C4711yescharacteristic
1040C2×C4⋊C4C23×C4711yescharacteristic
1041C2×C4⋊C4C23×C4711yescharacteristic
1042C2×C4⋊C4C23×C4711yescharacteristic
1043C2×C4⋊C4C23×C4711yescharacteristic
1044C2×C4⋊C4C23×C4711yescharacteristic
1045C2×C4⋊C4C23×C4711yescharacteristic
1046C2×C4⋊C4C23×C4711yescharacteristic
1047C2×C4⋊C4C23×C4711yescharacteristic
1048C2×C4⋊C4C23×C4711yescharacteristic
1049C2×C4⋊C4C23×C4711yescharacteristic
1050C2×C4⋊C4C23×C4711yescharacteristic
1051C2×C4⋊C4C23×C4711yescharacteristic
1052C2×C4⋊C4C23×C4711yescharacteristic
1053C2×C4⋊C4C23×C4711yescharacteristic
1054C2×C4⋊C4C23×C4711yescharacteristic
1055C2×C22⋊C4C23×C4711yescharacteristic
1056C2×C22⋊C4C23×C4711yescharacteristic
1057C2×C22⋊C4C23×C4711yescharacteristic
1058C2×C22⋊C4C23×C4711yescharacteristic
1059C2×C22⋊C4C23×C4711yescharacteristic
1060C2×C22⋊C4C23×C4711yescharacteristic
1061C2×C22⋊C4C23×C4711yescharacteristic
1062C2×C22⋊C4C23×C4711yescharacteristic
1063C2×C22⋊C4C23×C4711yescharacteristic
1064C2×C22⋊C4C23×C4711yescharacteristic
1065C2×C22⋊C4C23×C4711yescharacteristic
1066C2×C22⋊C4C23×C4711yescharacteristic
1067C2×C22⋊C4C23×C4711yescharacteristic
1068C2×C22⋊C4C23×C4711yescharacteristic
1069C2×C22⋊C4C23×C4711yescharacteristic
1070C2×C22⋊C4C23×C4711yescharacteristic
1071C2×C22⋊C4C23×C4711yescharacteristic
1072C2×C22⋊C4C23×C4711yescharacteristic
1073C2×C22⋊C4C23×C4711yescharacteristic
1074C2×C22⋊C4C23×C4711yescharacteristic
1075C2×C22⋊C4C23×C4711yescharacteristic
1076C2×C22⋊C4C23×C4711yescharacteristic
1077C2×C22⋊C4C23×C4711yescharacteristic
1078C2×C22⋊C4C23×C4711yescharacteristic
1079C2×C22⋊C4C23×C4711yescharacteristic
1080C2×C22⋊C4C23×C4711yescharacteristic
1081C2×C22⋊C4C23×C4711yescharacteristic
1082C2×C22⋊C4C23×C4711yescharacteristic
1083C2×C22⋊C4C23×C4711yescharacteristic
1084C2×C22⋊C4C23×C4711yescharacteristic
1085C2×C22⋊C4C23×C4711yescharacteristic
1086C2×C22⋊C4C23×C4711yescharacteristic
1087C2×C22⋊C4C23×C4711yescharacteristic
1088C2×C22⋊C4C23×C4711yescharacteristic
1089C2×C22⋊C4C23×C4711yescharacteristic
1090C2×C22⋊C4C23×C4711yescharacteristic
1091C2×C22⋊C4C23×C4711yescharacteristic
1092C2×C22⋊C4C23×C4711yescharacteristic
1093C2×C22⋊C4C23×C4711yescharacteristic
1094C2×C22⋊C4C23×C4711yescharacteristic
1095C2×C22⋊C4C23×C4711yescharacteristic
1096C2×C22⋊C4C23×C4711yescharacteristic
1097C2×C22⋊C4C23×C4711yescharacteristic
1098C2×C22⋊C4C23×C4711yescharacteristic
1099C2×C22⋊C4C23×C4711yescharacteristic
1100C2×C22⋊C4C23×C4711yescharacteristic
1101C2×C22⋊C4C23×C4711yescharacteristic
1102C2×C22⋊C4C23×C4711yescharacteristic
1103C2×C22⋊C4C23×C4711yescharacteristic
1104C2×C22⋊C4C23×C4711yescharacteristic
1105C2×C22⋊C4C23×C4711yescharacteristic
1106C2×C22⋊C4C23×C4711yescharacteristic
1107C2×C42C23×C4711yescharacteristic
1108C2×C42C23×C4711yescharacteristic
1109C2×C42C23×C4711yescharacteristic
1110C2×C42C23×C4711yescharacteristic
1111C2×C42C23×C4711yescharacteristic
1112C2×C42C23×C4711yescharacteristic
1113C2×C42C23×C4711yescharacteristic
1114#95C23×C4711yescharacteristic
1115#95C23×C4711yescharacteristic
1116#95C23×C4711yescharacteristic
1117#95C23×C4711yescharacteristic
1118#95C23×C4711yescharacteristic
1119#95C23×C4711yescharacteristic
1120#95C23×C4711yescharacteristic
1121#95C23×C4711yescharacteristic
1122#95C23×C4711yescharacteristic
1123#95C23×C4711yescharacteristic
1124#95C23×C4711yescharacteristic
1125#95C23×C4711yescharacteristic
1126#95C23×C4711yescharacteristic
1127#95C23×C4711yescharacteristic
1128#95C23×C4711yescharacteristic
1129#95C23×C4711yescharacteristic
1130#95C23×C4711yescharacteristic
1131#95C23×C4711yescharacteristic
1132#95C23×C4711yescharacteristic
1133#95C23×C4711yescharacteristic
1134#95C23×C4711yescharacteristic
1135#95C23×C4711yescharacteristic
1136#95C23×C4711yescharacteristic
1137#95C23×C4711yescharacteristic
1138#95C23×C4711yescharacteristic
1139#95C23×C4711yescharacteristic
1140#95C23×C4711yescharacteristic
1141#95C23×C4711yescharacteristic
1142#95C23×C4711yescharacteristic
1143#95C23×C4711yescharacteristic
1144#95C23×C4711yescharacteristic
1145#95C23×C4711yescharacteristic
1146#95C23×C4711yescharacteristic
1147#95C23×C4711yescharacteristic
1148#95C23×C4711yescharacteristic
1149#95C23×C4711yescharacteristic
1150#95C23×C4711yescharacteristic
1151#95C23×C4711yescharacteristic
1152#95C23×C4711yescharacteristic
1153#95C23×C4711yescharacteristic
1154#95C23×C4711yescharacteristic
1155#95C23×C4711yescharacteristic
1156#95C23×C4711yescharacteristic
1157#95C23×C4711yescharacteristic
1158C24—22no—
1159C24—22no—
1160C24—22no—
1161C24—41no—
1162C24—41no—
1163C24—41no—
1164C24—41no—
1165C24C24×C4711yescharacteristic
1166C24C24×C4711yescharacteristic
1167C24C24×C4711yescharacteristic
1168C24C24×C4711yescharacteristic
1169C24C24×C4711yescharacteristic
1170C24C24×C4711yescharacteristic
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4#41×C4714yes—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
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—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—416no—
1241C22×C4C24×C4711yescharacteristic
1242C22×C4C24×C4711yescharacteristic
1243C22×C4C24×C4711yescharacteristic
1244C22×C4C24×C4711yescharacteristic
1245C22×C4C24×C4711yescharacteristic
1246C22×C4C24×C4711yescharacteristic
1247C22×C4C24×C4711yescharacteristic
1248C22×C4C24×C4711yescharacteristic
1249C22×C4C24×C4711yescharacteristic
1250C22×C4C24×C4711yescharacteristic
1251C22×C4C24×C4711yescharacteristic
1252C22×C4C24×C4711yescharacteristic
1253C22×C4C24×C4711yescharacteristic
1254C22×C4C24×C4711yescharacteristic
1255C22×C4C24×C4711yescharacteristic
1256C22×C4C24×C4711yescharacteristic
1257C22×C4C24×C4711yescharacteristic
1258C22×C4C24×C4711yescharacteristic
1259C22×C4C24×C4711yescharacteristic
1260C22×C4C24×C4711yescharacteristic
1261C22×C4C24×C4711yescharacteristic
1262C22×C4C24×C4711yescharacteristic
1263C22×C4C24×C4711yescharacteristic
1264C22×C4C24×C4711yescharacteristic
1265C22×C4C24×C4711yescharacteristic
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C42—22no—
1347C42—41no—
1348C42—41no—
1349C42—41no—
1350C42—41no—
1351C42—41no—
1352C42—41no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—44no—
1392C23—44no—
1393C23—44no—
1394C23—44no—
1395C23—44no—
1396C23—44no—
1397C23—44no—
1398C23C2×#41×C4712yes—
1399C23C2×#41×C4712yes—
1400C23H(5,𝔽2)×C4712yes—
1401C23H(5,𝔽2)×C4712yes—
1402C23C25×C4711yescharacteristic
1403D4—44no—
1404D4—44no—
1405D4—44no—
1406D4—44no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413D4—82no—
1414D4—82no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—82no—
1496C2×C4—82no—
1497C2×C4—82no—
1498C2×C4—82no—
1499C2×C4C2×#41×C4712yes—
1500C2×C4H(5,𝔽2)×C4712yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—416no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22C22×#41×C4711yescharacteristic
1545C22C2×H(5,𝔽2)×C4711yescharacteristic
1546C22C2×H(5,𝔽2)×C4711yescharacteristic
1547C22C2×H(5,𝔽2)×C4711yescharacteristic
1548C22C47×#58511yescharacteristic
1549C22C47×#58511yescharacteristic
1550C22C47×#58511yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C2—42no—
1577C2—42no—
1578C2—42no—
1579C2—42no—
1580C2—81no—
1581C2—81no—
1582C2C47×#345911yescharacteristic
1583C2C47×#351311yescharacteristic
1584C2C47×#351311yescharacteristic
1585C2C47×#353211yescharacteristic
1586C2C47×#353311yescharacteristic
1587C2C47×#353311yescharacteristic
1588C2C47×#353911yescharacteristic
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×#2849C2semidirect
2. C47×#2849C2semidirect
3. C47×#2782C2semidirect
4. C47×#2780C2semidirect
5. C47×#2771C2semidirect
6. C47×#2757C2semidirect
7. C47×#2750C2semidirect
8. C47×#2749C2semidirect
9. C47×#2743C2semidirect
10. C47×#2735C2semidirect
11. C47×#2724C2semidirect
12. C47×#2708C2semidirect
13. C47×#2706C2semidirect
14. C47×#2703C2semidirect
15. C47×#2688C2semidirect
16. C47×#2678C2semidirect
17. C47×#2678C2semidirect
18. C47×#2668C2semidirect
19. C47×#2652C2semidirect
20. C47×#2648C2semidirect
21. C47×#2516C2semidirect
22. C47×#2515C2semidirect
23. C47×#2471C2semidirect
24. C47×#2470C2semidirect
25. C47×#2456C2semidirect
26. C47×#2455C2semidirect
27. C47×#2444C2semidirect
28. C47×#2419C2semidirect
29. C47×#2325C2semidirect
30. C47×#2324C2semidirect
31. C4×#120×C47C2semidirect
49. C2×C4×D4×C47C22semidirect
50. C2×#117×C47C22semidirect
51. C47×#400C22semidirect
52. C47×#400C22semidirect
53. C47×#400C22semidirect
54. C47×#400C22semidirect
55. C47×#400C22semidirect
56. C47×#400C22semidirect
57. C47×#400C22semidirect
58. C47×#400C22semidirect
59. C47×#400C22semidirect
62. C47×#399C22semidirect
63. C47×#398C22semidirect
64. C47×#398C22semidirect
65. C47×#398C22semidirect
73. C47×#397C22semidirect
74. C47×#397C22semidirect
75. C47×#397C22semidirect
76. C47×#397C22semidirect
77. C47×#397C22semidirect
78. C47×#397C22semidirect
83. C47×#396C22semidirect
84. C47×#396C22semidirect
91. C47×#394C22semidirect
92. C47×#394C22semidirect
98. C47×#392C22semidirect
103. C47×#390C22semidirect
104. C47×#390C22semidirect
105. C47×#389C22semidirect
106. C47×#389C22semidirect
107. C47×#389C22semidirect
108. C47×#389C22semidirect
117. C47×#388C22semidirect
118. C47×#388C22semidirect
119. C47×#388C22semidirect
120. C47×#388C22semidirect
121. C47×#388C22semidirect
122. C47×#388C22semidirect
123. C47×#387C22semidirect
124. C47×#387C22semidirect
125. C47×#387C22semidirect
126. C47×#387C22semidirect
127. C47×#387C22semidirect
128. C47×#387C22semidirect
129. C47×#387C22semidirect
130. C47×#387C22semidirect
148. C47×#386C22semidirect
149. C47×#386C22semidirect
150. C47×#386C22semidirect
151. C47×#386C22semidirect
163. C47×#385C22semidirect
164. C47×#385C22semidirect
165. C47×#385C22semidirect
166. C47×#385C22semidirect
167. C47×#385C22semidirect
168. C47×#385C22semidirect
169. C47×#383C22semidirect
170. C47×#382C22semidirect
175. C47×#381C22semidirect
176. C47×#380C22semidirect
177. C47×#380C22semidirect
178. C47×#380C22semidirect
182. C4×C4⋊C4×C47C22semidirect
186. C2×#95×C47C22semidirect
706. #36839C47direct (N × H)
782. #2849C2×C47semidirect
783. #2849C2×C47semidirect
784. #2782C2×C47semidirect
785. #2780C2×C47semidirect
786. #2771C2×C47semidirect
787. #2757C2×C47semidirect
788. #2750C2×C47semidirect
789. #2749C2×C47semidirect
790. #2743C2×C47semidirect
791. #2735C2×C47semidirect
792. #2724C2×C47semidirect
793. #2708C2×C47semidirect
794. #2706C2×C47semidirect
795. #2703C2×C47semidirect
796. #2688C2×C47semidirect
797. #2678C2×C47semidirect
798. #2678C2×C47semidirect
799. #2668C2×C47semidirect
800. #2652C2×C47semidirect
801. #2648C2×C47semidirect
802. #2516C2×C47semidirect
803. #2515C2×C47semidirect
804. #2471C2×C47semidirect
805. #2470C2×C47semidirect
806. #2456C2×C47semidirect
807. #2455C2×C47semidirect
808. #2444C2×C47semidirect
809. #2419C2×C47semidirect
810. #2325C2×C47semidirect
811. #2324C2×C47semidirect
812. C4×#120C2×C47semidirect
843. C2×C4×D4C22×C47semidirect
844. C2×#117C22×C47semidirect
845. #400C22×C47semidirect
846. #400C22×C47semidirect
847. #400C22×C47semidirect
848. #400C22×C47semidirect
849. #400C22×C47semidirect
850. #400C22×C47semidirect
851. #400C22×C47semidirect
852. #400C22×C47semidirect
853. #400C22×C47semidirect
856. #399C22×C47semidirect
857. #398C22×C47semidirect
858. #398C22×C47semidirect
859. #398C22×C47semidirect
867. #397C22×C47semidirect
868. #397C22×C47semidirect
869. #397C22×C47semidirect
870. #397C22×C47semidirect
871. #397C22×C47semidirect
872. #397C22×C47semidirect
877. #396C22×C47semidirect
878. #396C22×C47semidirect
885. #394C22×C47semidirect
886. #394C22×C47semidirect
892. #392C22×C47semidirect
897. #390C22×C47semidirect
898. #390C22×C47semidirect
899. #389C22×C47semidirect
900. #389C22×C47semidirect
901. #389C22×C47semidirect
902. #389C22×C47semidirect
911. #388C22×C47semidirect
912. #388C22×C47semidirect
913. #388C22×C47semidirect
914. #388C22×C47semidirect
915. #388C22×C47semidirect
916. #388C22×C47semidirect
917. #387C22×C47semidirect
918. #387C22×C47semidirect
919. #387C22×C47semidirect
920. #387C22×C47semidirect
921. #387C22×C47semidirect
922. #387C22×C47semidirect
923. #387C22×C47semidirect
924. #387C22×C47semidirect
942. #386C22×C47semidirect
943. #386C22×C47semidirect
944. #386C22×C47semidirect
945. #386C22×C47semidirect
957. #385C22×C47semidirect
958. #385C22×C47semidirect
959. #385C22×C47semidirect
960. #385C22×C47semidirect
961. #385C22×C47semidirect
962. #385C22×C47semidirect
963. #383C22×C47semidirect
964. #382C22×C47semidirect
969. #381C22×C47semidirect
970. #380C22×C47semidirect
971. #380C22×C47semidirect
972. #380C22×C47semidirect
976. C4×C4⋊C4C22×C47semidirect
980. C2×#95C22×C47semidirect
981. C47#36839direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#28492
C47×#27822
C47×#27802
C47×#27712
C47×#27572
C47×#27502
C47×#27492
C47×#27432
C47×#27352
C47×#27242
C47×#27082
C47×#27062
C47×#27032
C47×#26882
C47×#26782
C47×#26682
C47×#26522
C47×#26482
C47×#25162
C47×#25152
C47×#24712
C47×#24702
C47×#24562
C47×#24552
C47×#24442
C47×#24192
C47×#23252
C47×#23242
C4×#120×C472
#3683947