Finite Group Databasebeta

← C47×#36873 #26076571

Subgroups — C47×#36873 #26076571

Order 12032.

1872 conjugacy classes of subgroups.

The subgroup lattice has 1584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#2853C211yesmaximal, characteristic, complemented
2C47×#2850C211yesmaximal, characteristic, complemented
3C47×#2808C211yesmaximal, characteristic, complemented
4C47×#2786C211yesmaximal, characteristic, complemented
5C47×#2773C211yesmaximal, characteristic, complemented
6C47×#2756C211yesmaximal, characteristic, complemented
7C47×#2737C211yesmaximal, characteristic, complemented
8C47×#2735C211yesmaximal, characteristic, complemented
9C47×#2730C211yesmaximal, characteristic, complemented
10C47×#2723C211yesmaximal, characteristic, complemented
11C47×#2715C211yesmaximal, characteristic, complemented
12C47×#2714C211yesmaximal, characteristic, complemented
13C47×#2705C211yesmaximal, characteristic, complemented
14C47×#2692C211yesmaximal, characteristic, complemented
15C47×#2688C211yesmaximal, characteristic, complemented
16C47×#2678C211yesmaximal, characteristic, complemented
17C47×#2670C211yesmaximal, characteristic, complemented
18C47×#2668C211yesmaximal, characteristic, complemented
19C47×#2631C211yesmaximal, characteristic, complemented
20C47×#2630C211yesmaximal, characteristic, complemented
21C47×#2525C211yesmaximal, characteristic, complemented
22C47×#2523C211yesmaximal, characteristic, complemented
23C47×#2521C211yesmaximal, characteristic, complemented
24C47×#2474C211yesmaximal, characteristic, complemented
25C47×#2472C211yesmaximal, characteristic, complemented
26C47×#2471C211yesmaximal, characteristic, complemented
27C47×#2467C211yesmaximal, characteristic, complemented
28C47×#2418C211yesmaximal, characteristic, complemented
29C47×#2324C211yesmaximal, characteristic, complemented
30C47×#2321C211yesmaximal, characteristic, complemented
31C4×#121×C47C211yesmaximal, characteristic, complemented
32C2×#126×C47C2211yescharacteristic, complemented
33C2×#126×C47C2211yescharacteristic, complemented
34C2×#124×C47C2211yescharacteristic
35C2×#124×C47C2211yescharacteristic
36C2×#124×C47C2211yescharacteristic
37C2×#123×C47C2211yescharacteristic
38C2×#123×C47C2211yescharacteristic
39C2×C22⋊Q8×C47C2211yescharacteristic
40C2×C22⋊Q8×C47C2211yescharacteristic, complemented
41C2×#121×C47C2211yescharacteristic
42C2×#121×C47C2211yescharacteristic
43C2×#121×C47C2211yescharacteristic
44C2×#120×C47C2211yescharacteristic
45C2×#120×C47C2211yescharacteristic
46C2×#120×C47C2211yescharacteristic
47C2×C4×D4×C47C2211yescharacteristic
48C2×C4×D4×C47C2211yescharacteristic
49C2×C4×D4×C47C2211yescharacteristic, complemented
50C2×#117×C47C2211yescharacteristic, complemented
51C22×C22⋊C4×C47C2211yescharacteristic
52C22×C42×C47C2211yescharacteristic, complemented
53C47×#400C2211yescharacteristic, complemented
54C47×#399C2211yescharacteristic
55C47×#399C2211yescharacteristic
56C47×#399C2211yescharacteristic
57C47×#399C2211yescharacteristic, complemented
58C47×#398C2211yescharacteristic, complemented
59C47×#398C2211yescharacteristic, complemented
60C47×#397C2211yescharacteristic
61C47×#397C2211yescharacteristic
62C47×#397C2211yescharacteristic
63C47×#397C2211yescharacteristic
64C47×#397C2211yescharacteristic
65C47×#397C2211yescharacteristic
66C47×#397C2211yescharacteristic
67C47×#397C2211yescharacteristic
68C47×#397C2211yescharacteristic, complemented
69C47×#397C2211yescharacteristic, complemented
70C47×#397C2211yescharacteristic, complemented
71C47×#397C2211yescharacteristic, complemented
72C47×#396C2211yescharacteristic
73C47×#396C2211yescharacteristic
74C47×#396C2211yescharacteristic
75C47×#396C2211yescharacteristic, complemented
76C47×#396C2211yescharacteristic, complemented
77C47×#395C2211yescharacteristic, complemented
78C47×#395C2211yescharacteristic, complemented
79C47×#394C2211yescharacteristic
80C47×#394C2211yescharacteristic
81C47×#394C2211yescharacteristic
82C47×#394C2211yescharacteristic
83C47×#394C2211yescharacteristic
84C47×#394C2211yescharacteristic
85C47×#394C2211yescharacteristic
86C47×#394C2211yescharacteristic
87C47×#394C2211yescharacteristic
88C47×#394C2211yescharacteristic
89C47×#394C2211yescharacteristic, complemented
90C47×#393C2211yescharacteristic
91C47×#393C2211yescharacteristic
92C47×#393C2211yescharacteristic, complemented
93C47×#393C2211yescharacteristic, complemented
94C47×#392C2211yescharacteristic
95C47×#392C2211yescharacteristic
96C47×#392C2211yescharacteristic
97C47×#392C2211yescharacteristic
98C47×#392C2211yescharacteristic
99C47×#392C2211yescharacteristic
100C47×#392C2211yescharacteristic, complemented
101C47×#391C2211yescharacteristic, complemented
102C47×#391C2211yescharacteristic, complemented
103C47×#391C2211yescharacteristic, complemented
104C47×#390C2211yescharacteristic
105C47×#390C2211yescharacteristic
106C47×#390C2211yescharacteristic
107C47×#390C2211yescharacteristic
108C47×#390C2211yescharacteristic
109C47×#390C2211yescharacteristic
110C47×#390C2211yescharacteristic
111C47×#390C2211yescharacteristic, complemented
112C47×#390C2211yescharacteristic, complemented
113C47×#389C2211yescharacteristic, complemented
114C47×#389C2211yescharacteristic, complemented
115C47×#389C2211yescharacteristic, complemented
116C47×#388C2211yescharacteristic
117C47×#388C2211yescharacteristic
118C47×#388C2211yescharacteristic
119C47×#388C2211yescharacteristic
120C47×#388C2211yescharacteristic
121C47×#388C2211yescharacteristic
122C47×#388C2211yescharacteristic
123C47×#388C2211yescharacteristic
124C47×#388C2211yescharacteristic
125C47×#388C2211yescharacteristic
126C47×#388C2211yescharacteristic
127C47×#388C2211yescharacteristic
128C47×#388C2211yescharacteristic
129C47×#388C2211yescharacteristic
130C47×#388C2211yescharacteristic
131C47×#388C2211yescharacteristic
132C47×#388C2211yescharacteristic
133C47×#388C2211yescharacteristic, complemented
134C47×#388C2211yescharacteristic, complemented
135C47×#388C2211yescharacteristic, complemented
136C47×#388C2211yescharacteristic, complemented
137C47×#388C2211yescharacteristic, complemented
138C47×#387C2211yescharacteristic, complemented
139C47×#387C2211yescharacteristic, complemented
140C47×#387C2211yescharacteristic, complemented
141C47×#387C2211yescharacteristic, complemented
142C47×#387C2211yescharacteristic, complemented
143C47×#387C2211yescharacteristic, complemented
144C47×#387C2211yescharacteristic, complemented
145C47×#387C2211yescharacteristic, complemented
146C47×#387C2211yescharacteristic, complemented
147C47×#387C2211yescharacteristic, complemented
148C47×#387C2211yescharacteristic, complemented
149C47×#386C2211yescharacteristic
150C47×#386C2211yescharacteristic
151C47×#386C2211yescharacteristic
152C47×#386C2211yescharacteristic
153C47×#386C2211yescharacteristic
154C47×#386C2211yescharacteristic
155C47×#386C2211yescharacteristic
156C47×#386C2211yescharacteristic
157C47×#386C2211yescharacteristic
158C47×#386C2211yescharacteristic
159C47×#386C2211yescharacteristic
160C47×#386C2211yescharacteristic
161C47×#386C2211yescharacteristic, complemented
162C47×#386C2211yescharacteristic, complemented
163C47×#386C2211yescharacteristic, complemented
164C47×#386C2211yescharacteristic, complemented
165C47×#386C2211yescharacteristic, complemented
166C47×#385C2211yescharacteristic
167C47×#385C2211yescharacteristic
168C47×#385C2211yescharacteristic, complemented
169C47×#385C2211yescharacteristic, complemented
170C47×#385C2211yescharacteristic, complemented
171C47×#383C2211yescharacteristic, complemented
172C47×#383C2211yescharacteristic, complemented
173C47×#382C2211yescharacteristic, complemented
174C47×#381C2211yescharacteristic, complemented
175C47×#380C2211yescharacteristic
176C47×#380C2211yescharacteristic, complemented
177C47×#380C2211yescharacteristic, complemented
178C47×#380C2211yescharacteristic, complemented
179C47×#379C2211yescharacteristic
180C47×#379C2211yescharacteristic
181C47×#379C2211yescharacteristic
182C4×C4⋊C4×C47C2211yescharacteristic, complemented
183C4×C4⋊C4×C47C2211yescharacteristic, complemented
184C4×C22⋊C4×C47C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic, complemented
187C25×C47C2311yescharacteristic
188C22×Q8×C47C2311yescharacteristic
189C22×Q8×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
200C22×D4×C47C2311yescharacteristic
201C22×D4×C47C2311yescharacteristic
202C23×C4×C47C2311yescharacteristic
203C23×C4×C47C2311yescharacteristic
204C23×C4×C47C2311yescharacteristic
205C23×C4×C47C2311yescharacteristic
206C23×C4×C47C2311yescharacteristic
207C23×C4×C47C2311yescharacteristic
208C23×C4×C47C2311yescharacteristic
209#126×C47—42no—
210#126×C47—42no—
211#124×C47—42no—
212#124×C47—42no—
213#124×C47—42no—
214#123×C47—42no—
215#123×C47—42no—
216C22⋊Q8×C47—42no—
217C22⋊Q8×C47—42no—
218#121×C47—24no—
219#121×C47—24no—
220#121×C47—42no—
221#120×C47—24no—
222#120×C47—42no—
223#120×C47—42no—
224C4×D4×C47—42no—
225C4×D4×C47—42no—
226C4×D4×C47—42no—
227#117×C47—42no—
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×C4⋊C4×C47C2311yescharacteristic
254C2×C22⋊C4×C47—42no—
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×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×C42×C47—42no—
312C2×C42×C47C2311yescharacteristic
313C2×C42×C47C2311yescharacteristic
314C2×C42×C47C2311yescharacteristic
315C2×C42×C47C2311yescharacteristic
316C2×C42×C47C2311yescharacteristic
317C2×C42×C47C2311yescharacteristic
318C2×C42×C47C2311yescharacteristic
319C2×C42×C47C2311yescharacteristic
320C2×C42×C47C2311yescharacteristic
321C2×C42×C47C2311yescharacteristic
322C2×C42×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—41no—
365C24×C47—41no—
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×Q8×C47—22no—
377C2×Q8×C47—41no—
378C2×Q8×C47—41no—
379C2×Q8×C47—41no—
380C2×Q8×C47—41no—
381C2×Q8×C47—41no—
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—22no—
389C2×D4×C47—22no—
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—41no—
412C2×D4×C47—41no—
413C2×D4×C47—41no—
414C2×D4×C47—41no—
415C2×D4×C47—41no—
416C2×D4×C47—41no—
417C2×D4×C47#4114yes—
418C22×C4×C47—22no—
419C22×C4×C47—22no—
420C22×C4×C47—22no—
421C22×C4×C47—22no—
422C22×C4×C47—22no—
423C22×C4×C47—22no—
424C22×C4×C47—22no—
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×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
457C22×C4×C47C2411yescharacteristic
458C22×C4×C47C2411yescharacteristic
459C22×C4×C47C2411yescharacteristic
460C22×C4×C47C2411yescharacteristic
461C22×C4×C47C2411yescharacteristic
462C22×C4×C47C2411yescharacteristic
463C22×C4×C47C2411yescharacteristic
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—22no—
471C4⋊C4×C47—22no—
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—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—
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—41no—
507C22⋊C4×C47—41no—
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—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—
546C42×C47—22no—
547C42×C47—22no—
548C42×C47—22no—
549C42×C47—22no—
550C42×C47—41no—
551C42×C47—41no—
552C42×C47—41no—
553C42×C47—41no—
554C42×C47—41no—
555C42×C47—41no—
556C42×C47—41no—
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×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—21no—
597C23×C47—44no—
598C23×C47—82no—
599C23×C47—82no—
600C23×C47—82no—
601C23×C47—82no—
602C23×C47—82no—
603C23×C47—82no—
604C23×C47C2×#4112yes—
605C23×C47C2×#4112yes—
606C23×C47C2511yescharacteristic
607Q8×C47—82no—
608Q8×C47—82no—
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—
620D4×C47—82no—
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—44no—
693C2×C4×C47—44no—
694C2×C4×C47—44no—
695C2×C4×C47—44no—
696C2×C4×C47—82no—
697C2×C4×C47—82no—
698C2×C4×C47—82no—
699C2×C4×C47C2×#4112yes—
700C2×C4×C47H(5,𝔽2)12yes—
701C2×C4×C47H(5,𝔽2)12yes—
702C2×C4×C47H(5,𝔽2)12yes—
703#36873C4711yesmaximal, characteristic, direct product factor, Sylow
704C22×C47—22no—
705C22×C47—22no—
706C22×C47—22no—
707C22×C47—22no—
708C22×C47—22no—
709C22×C47—22no—
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×C47—41no—
719C22×C47—41no—
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—88no—
747C22×C47C22×#4111yescharacteristic
748C22×C47C2×H(5,𝔽2)11yescharacteristic
749C22×C47C2×H(5,𝔽2)11yescharacteristic
750C22×C47C2×H(5,𝔽2)11yescharacteristic
751C22×C47#58511yescharacteristic
752C22×C47#58511yescharacteristic
753C22×C47#58511yescharacteristic
754C4×C47—22no—
755C4×C47—22no—
756C4×C47—22no—
757C4×C47—22no—
758C4×C47—41no—
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—
779#2853C2×C4711yescharacteristic, complemented
780#2850C2×C4711yescharacteristic, complemented
781#2808C2×C4711yescharacteristic, complemented
782#2786C2×C4711yescharacteristic, complemented
783#2773C2×C4711yescharacteristic, complemented
784#2756C2×C4711yescharacteristic, complemented
785#2737C2×C4711yescharacteristic, complemented
786#2735C2×C4711yescharacteristic, complemented
787#2730C2×C4711yescharacteristic, complemented
788#2723C2×C4711yescharacteristic, complemented
789#2715C2×C4711yescharacteristic, complemented
790#2714C2×C4711yescharacteristic, complemented
791#2705C2×C4711yescharacteristic, complemented
792#2692C2×C4711yescharacteristic, complemented
793#2688C2×C4711yescharacteristic, complemented
794#2678C2×C4711yescharacteristic, complemented
795#2670C2×C4711yescharacteristic, complemented
796#2668C2×C4711yescharacteristic, complemented
797#2631C2×C4711yescharacteristic, complemented
798#2630C2×C4711yescharacteristic, complemented
799#2525C2×C4711yescharacteristic, complemented
800#2523C2×C4711yescharacteristic, complemented
801#2521C2×C4711yescharacteristic, complemented
802#2474C2×C4711yescharacteristic, complemented
803#2472C2×C4711yescharacteristic, complemented
804#2471C2×C4711yescharacteristic, complemented
805#2467C2×C4711yescharacteristic, complemented
806#2418C2×C4711yescharacteristic, complemented
807#2324C2×C4711yescharacteristic, complemented
808#2321C2×C4711yescharacteristic, complemented
809C4×#121C2×C4711yescharacteristic, complemented
810C2×C47—42no—
811C2×C47—42no—
812C2×C47—81no—
813C2×C47—81no—
814C2×C47—81no—
815C2×C47—81no—
816C2×C47#345911yescharacteristic
817C2×C47#351311yescharacteristic
818C2×C47#351411yescharacteristic
819C2×C47#354211yescharacteristic
820C2×C47#354211yescharacteristic
821C2×C47#354611yescharacteristic
822C2×C47#356811yescharacteristic
823C2×#126C22×C4711yescharacteristic, complemented
824C2×#126C22×C4711yescharacteristic, complemented
825C2×#124C22×C4711yescharacteristic
826C2×#124C22×C4711yescharacteristic
827C2×#124C22×C4711yescharacteristic
828C2×#123C22×C4711yescharacteristic
829C2×#123C22×C4711yescharacteristic
830C2×C22⋊Q8C22×C4711yescharacteristic
831C2×C22⋊Q8C22×C4711yescharacteristic, complemented
832C2×#121C22×C4711yescharacteristic
833C2×#121C22×C4711yescharacteristic
834C2×#121C22×C4711yescharacteristic
835C2×#120C22×C4711yescharacteristic
836C2×#120C22×C4711yescharacteristic
837C2×#120C22×C4711yescharacteristic
838C2×C4×D4C22×C4711yescharacteristic
839C2×C4×D4C22×C4711yescharacteristic
840C2×C4×D4C22×C4711yescharacteristic, complemented
841C2×#117C22×C4711yescharacteristic, complemented
842C22×C22⋊C4C22×C4711yescharacteristic
843C22×C42C22×C4711yescharacteristic, complemented
844#400C22×C4711yescharacteristic, complemented
845#399C22×C4711yescharacteristic
846#399C22×C4711yescharacteristic
847#399C22×C4711yescharacteristic
848#399C22×C4711yescharacteristic, complemented
849#398C22×C4711yescharacteristic, complemented
850#398C22×C4711yescharacteristic, complemented
851#397C22×C4711yescharacteristic
852#397C22×C4711yescharacteristic
853#397C22×C4711yescharacteristic
854#397C22×C4711yescharacteristic
855#397C22×C4711yescharacteristic
856#397C22×C4711yescharacteristic
857#397C22×C4711yescharacteristic
858#397C22×C4711yescharacteristic
859#397C22×C4711yescharacteristic, complemented
860#397C22×C4711yescharacteristic, complemented
861#397C22×C4711yescharacteristic, complemented
862#397C22×C4711yescharacteristic, complemented
863#396C22×C4711yescharacteristic
864#396C22×C4711yescharacteristic
865#396C22×C4711yescharacteristic
866#396C22×C4711yescharacteristic, complemented
867#396C22×C4711yescharacteristic, complemented
868#395C22×C4711yescharacteristic, complemented
869#395C22×C4711yescharacteristic, complemented
870#394C22×C4711yescharacteristic
871#394C22×C4711yescharacteristic
872#394C22×C4711yescharacteristic
873#394C22×C4711yescharacteristic
874#394C22×C4711yescharacteristic
875#394C22×C4711yescharacteristic
876#394C22×C4711yescharacteristic
877#394C22×C4711yescharacteristic
878#394C22×C4711yescharacteristic
879#394C22×C4711yescharacteristic
880#394C22×C4711yescharacteristic, complemented
881#393C22×C4711yescharacteristic
882#393C22×C4711yescharacteristic
883#393C22×C4711yescharacteristic, complemented
884#393C22×C4711yescharacteristic, complemented
885#392C22×C4711yescharacteristic
886#392C22×C4711yescharacteristic
887#392C22×C4711yescharacteristic
888#392C22×C4711yescharacteristic
889#392C22×C4711yescharacteristic
890#392C22×C4711yescharacteristic
891#392C22×C4711yescharacteristic, complemented
892#391C22×C4711yescharacteristic, complemented
893#391C22×C4711yescharacteristic, complemented
894#391C22×C4711yescharacteristic, complemented
895#390C22×C4711yescharacteristic
896#390C22×C4711yescharacteristic
897#390C22×C4711yescharacteristic
898#390C22×C4711yescharacteristic
899#390C22×C4711yescharacteristic
900#390C22×C4711yescharacteristic
901#390C22×C4711yescharacteristic
902#390C22×C4711yescharacteristic, complemented
903#390C22×C4711yescharacteristic, complemented
904#389C22×C4711yescharacteristic, complemented
905#389C22×C4711yescharacteristic, complemented
906#389C22×C4711yescharacteristic, complemented
907#388C22×C4711yescharacteristic
908#388C22×C4711yescharacteristic
909#388C22×C4711yescharacteristic
910#388C22×C4711yescharacteristic
911#388C22×C4711yescharacteristic
912#388C22×C4711yescharacteristic
913#388C22×C4711yescharacteristic
914#388C22×C4711yescharacteristic
915#388C22×C4711yescharacteristic
916#388C22×C4711yescharacteristic
917#388C22×C4711yescharacteristic
918#388C22×C4711yescharacteristic
919#388C22×C4711yescharacteristic
920#388C22×C4711yescharacteristic
921#388C22×C4711yescharacteristic
922#388C22×C4711yescharacteristic
923#388C22×C4711yescharacteristic
924#388C22×C4711yescharacteristic, complemented
925#388C22×C4711yescharacteristic, complemented
926#388C22×C4711yescharacteristic, complemented
927#388C22×C4711yescharacteristic, complemented
928#388C22×C4711yescharacteristic, complemented
929#387C22×C4711yescharacteristic, complemented
930#387C22×C4711yescharacteristic, complemented
931#387C22×C4711yescharacteristic, complemented
932#387C22×C4711yescharacteristic, complemented
933#387C22×C4711yescharacteristic, complemented
934#387C22×C4711yescharacteristic, complemented
935#387C22×C4711yescharacteristic, complemented
936#387C22×C4711yescharacteristic, complemented
937#387C22×C4711yescharacteristic, complemented
938#387C22×C4711yescharacteristic, complemented
939#387C22×C4711yescharacteristic, complemented
940#386C22×C4711yescharacteristic
941#386C22×C4711yescharacteristic
942#386C22×C4711yescharacteristic
943#386C22×C4711yescharacteristic
944#386C22×C4711yescharacteristic
945#386C22×C4711yescharacteristic
946#386C22×C4711yescharacteristic
947#386C22×C4711yescharacteristic
948#386C22×C4711yescharacteristic
949#386C22×C4711yescharacteristic
950#386C22×C4711yescharacteristic
951#386C22×C4711yescharacteristic
952#386C22×C4711yescharacteristic, complemented
953#386C22×C4711yescharacteristic, complemented
954#386C22×C4711yescharacteristic, complemented
955#386C22×C4711yescharacteristic, complemented
956#386C22×C4711yescharacteristic, complemented
957#385C22×C4711yescharacteristic
958#385C22×C4711yescharacteristic
959#385C22×C4711yescharacteristic, complemented
960#385C22×C4711yescharacteristic, complemented
961#385C22×C4711yescharacteristic, complemented
962#383C22×C4711yescharacteristic, complemented
963#383C22×C4711yescharacteristic, complemented
964#382C22×C4711yescharacteristic, complemented
965#381C22×C4711yescharacteristic, complemented
966#380C22×C4711yescharacteristic
967#380C22×C4711yescharacteristic, complemented
968#380C22×C4711yescharacteristic, complemented
969#380C22×C4711yescharacteristic, complemented
970#379C22×C4711yescharacteristic
971#379C22×C4711yescharacteristic
972#379C22×C4711yescharacteristic
973C4×C4⋊C4C22×C4711yescharacteristic, complemented
974C4×C4⋊C4C22×C4711yescharacteristic, complemented
975C4×C22⋊C4C22×C4711yescharacteristic
976C4×C22⋊C4C22×C4711yescharacteristic
977C4×C22⋊C4C22×C4711yescharacteristic, complemented
978C47#3687311yescharacteristic, direct product factor, Sylow
979C25C23×C4711yescharacteristic
980C22×Q8C23×C4711yescharacteristic
981C22×Q8C23×C4711yescharacteristic
982C22×D4C23×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
994C23×C4C23×C4711yescharacteristic
995C23×C4C23×C4711yescharacteristic
996C23×C4C23×C4711yescharacteristic
997C23×C4C23×C4711yescharacteristic
998C23×C4C23×C4711yescharacteristic
999C23×C4C23×C4711yescharacteristic
1000C23×C4C23×C4711yescharacteristic
1001#126—42no—
1002#126—42no—
1003#124—42no—
1004#124—42no—
1005#124—42no—
1006#123—42no—
1007#123—42no—
1008C22⋊Q8—42no—
1009C22⋊Q8—42no—
1010#121—24no—
1011#121—24no—
1012#121—42no—
1013#120—24no—
1014#120—42no—
1015#120—42no—
1016C4×D4—42no—
1017C4×D4—42no—
1018C4×D4—42no—
1019#117—42no—
1020C2×C4⋊C4C23×C4711yescharacteristic
1021C2×C4⋊C4C23×C4711yescharacteristic
1022C2×C4⋊C4C23×C4711yescharacteristic
1023C2×C4⋊C4C23×C4711yescharacteristic
1024C2×C4⋊C4C23×C4711yescharacteristic
1025C2×C4⋊C4C23×C4711yescharacteristic
1026C2×C4⋊C4C23×C4711yescharacteristic
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×C22⋊C4—42no—
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×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×C42—42no—
1104C2×C42C23×C4711yescharacteristic
1105C2×C42C23×C4711yescharacteristic
1106C2×C42C23×C4711yescharacteristic
1107C2×C42C23×C4711yescharacteristic
1108C2×C42C23×C4711yescharacteristic
1109C2×C42C23×C4711yescharacteristic
1110C2×C42C23×C4711yescharacteristic
1111C2×C42C23×C4711yescharacteristic
1112C2×C42C23×C4711yescharacteristic
1113C2×C42C23×C4711yescharacteristic
1114C2×C42C23×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
1155C24—22no—
1156C24—41no—
1157C24—41no—
1158C24—41no—
1159C24—41no—
1160C24—41no—
1161C24—41no—
1162C24C24×C4711yescharacteristic
1163C24C24×C4711yescharacteristic
1164C24C24×C4711yescharacteristic
1165C24C24×C4711yescharacteristic
1166C24C24×C4711yescharacteristic
1167C24C24×C4711yescharacteristic
1168C2×Q8—22no—
1169C2×Q8—41no—
1170C2×Q8—41no—
1171C2×Q8—41no—
1172C2×Q8—41no—
1173C2×Q8—41no—
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—41no—
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—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4#41×C4714yes—
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×C4C24×C4711yescharacteristic
1232C22×C4C24×C4711yescharacteristic
1233C22×C4C24×C4711yescharacteristic
1234C22×C4C24×C4711yescharacteristic
1235C22×C4C24×C4711yescharacteristic
1236C22×C4C24×C4711yescharacteristic
1237C22×C4C24×C4711yescharacteristic
1238C22×C4C24×C4711yescharacteristic
1239C22×C4C24×C4711yescharacteristic
1240C22×C4C24×C4711yescharacteristic
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
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
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—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
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—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
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—44no—
1390C23—82no—
1391C23—82no—
1392C23—82no—
1393C23—82no—
1394C23—82no—
1395C23—82no—
1396C23C2×#41×C4712yes—
1397C23C2×#41×C4712yes—
1398C23C25×C4711yescharacteristic
1399Q8—82no—
1400Q8—82no—
1401D4—44no—
1402D4—44no—
1403D4—44no—
1404D4—82no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
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—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—44no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—82no—
1489C2×C4—82no—
1490C2×C4—82no—
1491C2×C4C2×#41×C4712yes—
1492C2×C4H(5,𝔽2)×C4712yes—
1493C2×C4H(5,𝔽2)×C4712yes—
1494C2×C4H(5,𝔽2)×C4712yes—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
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—88no—
1538C22C22×#41×C4711yescharacteristic
1539C22C2×H(5,𝔽2)×C4711yescharacteristic
1540C22C2×H(5,𝔽2)×C4711yescharacteristic
1541C22C2×H(5,𝔽2)×C4711yescharacteristic
1542C22C47×#58511yescharacteristic
1543C22C47×#58511yescharacteristic
1544C22C47×#58511yescharacteristic
1545C4—22no—
1546C4—22no—
1547C4—22no—
1548C4—22no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
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—
1570C2—42no—
1571C2—42no—
1572C2—81no—
1573C2—81no—
1574C2—81no—
1575C2—81no—
1576C2C47×#345911yescharacteristic
1577C2C47×#351311yescharacteristic
1578C2C47×#351411yescharacteristic
1579C2C47×#354211yescharacteristic
1580C2C47×#354211yescharacteristic
1581C2C47×#354611yescharacteristic
1582C2C47×#356811yescharacteristic
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×#2853C2semidirect
2. C47×#2850C2semidirect
3. C47×#2808C2semidirect
4. C47×#2786C2semidirect
5. C47×#2773C2semidirect
6. C47×#2756C2semidirect
7. C47×#2737C2semidirect
8. C47×#2735C2semidirect
9. C47×#2730C2semidirect
10. C47×#2723C2semidirect
11. C47×#2715C2semidirect
12. C47×#2714C2semidirect
13. C47×#2705C2semidirect
14. C47×#2692C2semidirect
15. C47×#2688C2semidirect
16. C47×#2678C2semidirect
17. C47×#2670C2semidirect
18. C47×#2668C2semidirect
19. C47×#2631C2semidirect
20. C47×#2630C2semidirect
21. C47×#2525C2semidirect
22. C47×#2523C2semidirect
23. C47×#2521C2semidirect
24. C47×#2474C2semidirect
25. C47×#2472C2semidirect
26. C47×#2471C2semidirect
27. C47×#2467C2semidirect
28. C47×#2418C2semidirect
29. C47×#2324C2semidirect
30. C47×#2321C2semidirect
31. C4×#121×C47C2semidirect
32. C2×#126×C47C22semidirect
33. C2×#126×C47C22semidirect
40. C2×C22⋊Q8×C47C22semidirect
49. C2×C4×D4×C47C22semidirect
50. C2×#117×C47C22semidirect
52. C22×C42×C47C22semidirect
53. C47×#400C22semidirect
57. C47×#399C22semidirect
58. C47×#398C22semidirect
59. C47×#398C22semidirect
68. C47×#397C22semidirect
69. C47×#397C22semidirect
70. C47×#397C22semidirect
71. C47×#397C22semidirect
75. C47×#396C22semidirect
76. C47×#396C22semidirect
77. C47×#395C22semidirect
78. C47×#395C22semidirect
89. C47×#394C22semidirect
92. C47×#393C22semidirect
93. C47×#393C22semidirect
100. C47×#392C22semidirect
101. C47×#391C22semidirect
102. C47×#391C22semidirect
103. C47×#391C22semidirect
111. C47×#390C22semidirect
112. C47×#390C22semidirect
113. C47×#389C22semidirect
114. C47×#389C22semidirect
115. C47×#389C22semidirect
133. C47×#388C22semidirect
134. C47×#388C22semidirect
135. C47×#388C22semidirect
136. C47×#388C22semidirect
137. C47×#388C22semidirect
138. C47×#387C22semidirect
139. C47×#387C22semidirect
140. C47×#387C22semidirect
141. C47×#387C22semidirect
142. C47×#387C22semidirect
143. C47×#387C22semidirect
144. C47×#387C22semidirect
145. C47×#387C22semidirect
146. C47×#387C22semidirect
147. C47×#387C22semidirect
148. C47×#387C22semidirect
161. C47×#386C22semidirect
162. C47×#386C22semidirect
163. C47×#386C22semidirect
164. C47×#386C22semidirect
165. C47×#386C22semidirect
168. C47×#385C22semidirect
169. C47×#385C22semidirect
170. C47×#385C22semidirect
171. C47×#383C22semidirect
172. C47×#383C22semidirect
173. C47×#382C22semidirect
174. C47×#381C22semidirect
176. C47×#380C22semidirect
177. C47×#380C22semidirect
178. C47×#380C22semidirect
182. C4×C4⋊C4×C47C22semidirect
183. C4×C4⋊C4×C47C22semidirect
186. C4×C22⋊C4×C47C22semidirect
703. #36873C47direct (N × H)
779. #2853C2×C47semidirect
780. #2850C2×C47semidirect
781. #2808C2×C47semidirect
782. #2786C2×C47semidirect
783. #2773C2×C47semidirect
784. #2756C2×C47semidirect
785. #2737C2×C47semidirect
786. #2735C2×C47semidirect
787. #2730C2×C47semidirect
788. #2723C2×C47semidirect
789. #2715C2×C47semidirect
790. #2714C2×C47semidirect
791. #2705C2×C47semidirect
792. #2692C2×C47semidirect
793. #2688C2×C47semidirect
794. #2678C2×C47semidirect
795. #2670C2×C47semidirect
796. #2668C2×C47semidirect
797. #2631C2×C47semidirect
798. #2630C2×C47semidirect
799. #2525C2×C47semidirect
800. #2523C2×C47semidirect
801. #2521C2×C47semidirect
802. #2474C2×C47semidirect
803. #2472C2×C47semidirect
804. #2471C2×C47semidirect
805. #2467C2×C47semidirect
806. #2418C2×C47semidirect
807. #2324C2×C47semidirect
808. #2321C2×C47semidirect
809. C4×#121C2×C47semidirect
823. C2×#126C22×C47semidirect
824. C2×#126C22×C47semidirect
831. C2×C22⋊Q8C22×C47semidirect
840. C2×C4×D4C22×C47semidirect
841. C2×#117C22×C47semidirect
843. C22×C42C22×C47semidirect
844. #400C22×C47semidirect
848. #399C22×C47semidirect
849. #398C22×C47semidirect
850. #398C22×C47semidirect
859. #397C22×C47semidirect
860. #397C22×C47semidirect
861. #397C22×C47semidirect
862. #397C22×C47semidirect
866. #396C22×C47semidirect
867. #396C22×C47semidirect
868. #395C22×C47semidirect
869. #395C22×C47semidirect
880. #394C22×C47semidirect
883. #393C22×C47semidirect
884. #393C22×C47semidirect
891. #392C22×C47semidirect
892. #391C22×C47semidirect
893. #391C22×C47semidirect
894. #391C22×C47semidirect
902. #390C22×C47semidirect
903. #390C22×C47semidirect
904. #389C22×C47semidirect
905. #389C22×C47semidirect
906. #389C22×C47semidirect
924. #388C22×C47semidirect
925. #388C22×C47semidirect
926. #388C22×C47semidirect
927. #388C22×C47semidirect
928. #388C22×C47semidirect
929. #387C22×C47semidirect
930. #387C22×C47semidirect
931. #387C22×C47semidirect
932. #387C22×C47semidirect
933. #387C22×C47semidirect
934. #387C22×C47semidirect
935. #387C22×C47semidirect
936. #387C22×C47semidirect
937. #387C22×C47semidirect
938. #387C22×C47semidirect
939. #387C22×C47semidirect
952. #386C22×C47semidirect
953. #386C22×C47semidirect
954. #386C22×C47semidirect
955. #386C22×C47semidirect
956. #386C22×C47semidirect
959. #385C22×C47semidirect
960. #385C22×C47semidirect
961. #385C22×C47semidirect
962. #383C22×C47semidirect
963. #383C22×C47semidirect
964. #382C22×C47semidirect
965. #381C22×C47semidirect
967. #380C22×C47semidirect
968. #380C22×C47semidirect
969. #380C22×C47semidirect
973. C4×C4⋊C4C22×C47semidirect
974. C4×C4⋊C4C22×C47semidirect
977. C4×C22⋊C4C22×C47semidirect
978. C47#36873direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#28532
C47×#28502
C47×#28082
C47×#27862
C47×#27732
C47×#27562
C47×#27372
C47×#27352
C47×#27302
C47×#27232
C47×#27152
C47×#27142
C47×#27052
C47×#26922
C47×#26882
C47×#26782
C47×#26702
C47×#26682
C47×#26312
C47×#26302
C47×#25252
C47×#25232
C47×#25212
C47×#24742
C47×#24722
C47×#24712
C47×#24672
C47×#24182
C47×#23242
C47×#23212
C4×#121×C472
#3687347