Finite Group Databasebeta

← C47×#36844 #26076542

Subgroups — C47×#36844 #26076542

Order 12032.

1848 conjugacy classes of subgroups.

The subgroup lattice has 1578 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×#2803C211yesmaximal, characteristic, complemented
4C47×#2781C211yesmaximal, characteristic, complemented
5C47×#2778C211yesmaximal, characteristic, complemented
6C47×#2767C211yesmaximal, characteristic, complemented
7C47×#2746C211yesmaximal, characteristic, complemented
8C47×#2743C211yesmaximal, characteristic, complemented
9C47×#2732C211yesmaximal, characteristic, complemented
10C47×#2710C211yesmaximal, characteristic, complemented
11C47×#2706C211yesmaximal, characteristic, complemented
12C47×#2699C211yesmaximal, characteristic, complemented
13C47×#2696C211yesmaximal, characteristic, complemented
14C47×#2693C211yesmaximal, characteristic, complemented
15C47×#2688C211yesmaximal, characteristic, complemented
16C47×#2676C211yesmaximal, characteristic, complemented
17C47×#2673C211yesmaximal, characteristic, complemented
18C47×#2673C211yesmaximal, characteristic, complemented
19C47×#2636C211yesmaximal, characteristic, complemented
20C47×#2635C211yesmaximal, characteristic, complemented
21C47×#2529C211yesmaximal, characteristic, complemented
22C47×#2527C211yesmaximal, characteristic, complemented
23C47×#2488C211yesmaximal, characteristic, complemented
24C47×#2468C211yesmaximal, characteristic, complemented
25C47×#2467C211yesmaximal, characteristic, complemented
26C47×#2464C211yesmaximal, characteristic, complemented
27C47×#2456C211yesmaximal, characteristic, complemented
28C47×#2444C211yesmaximal, characteristic, complemented
29C47×#2328C211yesmaximal, characteristic, complemented
30C47×#2325C211yesmaximal, characteristic, complemented
31C4×#121×C47C211yesmaximal, characteristic, complemented
32C2×#127×C47C2211yescharacteristic
33C2×#126×C47C2211yescharacteristic
34C2×#124×C47C2211yescharacteristic
35C2×#123×C47C2211yescharacteristic
36C2×#123×C47C2211yescharacteristic
37C2×#123×C47C2211yescharacteristic
38C2×#123×C47C2211yescharacteristic
39C2×C22⋊Q8×C47C2211yescharacteristic
40C2×C22⋊Q8×C47C2211yescharacteristic
41C2×#121×C47C2211yescharacteristic
42C2×#121×C47C2211yescharacteristic
43C2×#121×C47C2211yescharacteristic
44C2×#121×C47C2211yescharacteristic
45C2×#121×C47C2211yescharacteristic
46C2×#121×C47C2211yescharacteristic
47C2×C4×D4×C47C2211yescharacteristic
48C2×C4×D4×C47C2211yescharacteristic
49C2×C4×D4×C47C2211yescharacteristic
50C2×C4×D4×C47C2211yescharacteristic
51C2×C4×D4×C47C2211yescharacteristic
52C22×C42×C47C2211yescharacteristic
53C47×#401C2211yescharacteristic
54C47×#400C2211yescharacteristic
55C47×#400C2211yescharacteristic
56C47×#400C2211yescharacteristic
57C47×#400C2211yescharacteristic
58C47×#400C2211yescharacteristic
59C47×#400C2211yescharacteristic
60C47×#400C2211yescharacteristic
61C47×#399C2211yescharacteristic
62C47×#399C2211yescharacteristic
63C47×#399C2211yescharacteristic
64C47×#398C2211yescharacteristic
65C47×#398C2211yescharacteristic
66C47×#398C2211yescharacteristic
67C47×#398C2211yescharacteristic
68C47×#397C2211yescharacteristic
69C47×#397C2211yescharacteristic
70C47×#397C2211yescharacteristic
71C47×#397C2211yescharacteristic
72C47×#397C2211yescharacteristic
73C47×#396C2211yescharacteristic
74C47×#396C2211yescharacteristic
75C47×#396C2211yescharacteristic
76C47×#396C2211yescharacteristic
77C47×#394C2211yescharacteristic
78C47×#394C2211yescharacteristic
79C47×#394C2211yescharacteristic
80C47×#394C2211yescharacteristic
81C47×#394C2211yescharacteristic
82C47×#394C2211yescharacteristic
83C47×#394C2211yescharacteristic
84C47×#394C2211yescharacteristic
85C47×#394C2211yescharacteristic
86C47×#394C2211yescharacteristic
87C47×#394C2211yescharacteristic
88C47×#394C2211yescharacteristic
89C47×#393C2211yescharacteristic
90C47×#393C2211yescharacteristic
91C47×#392C2211yescharacteristic
92C47×#392C2211yescharacteristic
93C47×#392C2211yescharacteristic
94C47×#392C2211yescharacteristic
95C47×#392C2211yescharacteristic
96C47×#392C2211yescharacteristic
97C47×#392C2211yescharacteristic
98C47×#392C2211yescharacteristic
99C47×#392C2211yescharacteristic
100C47×#392C2211yescharacteristic
101C47×#391C2211yescharacteristic
102C47×#391C2211yescharacteristic
103C47×#390C2211yescharacteristic
104C47×#390C2211yescharacteristic
105C47×#390C2211yescharacteristic
106C47×#390C2211yescharacteristic
107C47×#390C2211yescharacteristic
108C47×#389C2211yescharacteristic
109C47×#389C2211yescharacteristic
110C47×#388C2211yescharacteristic
111C47×#388C2211yescharacteristic
112C47×#388C2211yescharacteristic
113C47×#388C2211yescharacteristic
114C47×#388C2211yescharacteristic
115C47×#388C2211yescharacteristic
116C47×#388C2211yescharacteristic
117C47×#388C2211yescharacteristic
118C47×#388C2211yescharacteristic
119C47×#388C2211yescharacteristic
120C47×#388C2211yescharacteristic
121C47×#388C2211yescharacteristic
122C47×#388C2211yescharacteristic
123C47×#388C2211yescharacteristic
124C47×#388C2211yescharacteristic
125C47×#388C2211yescharacteristic
126C47×#388C2211yescharacteristic
127C47×#388C2211yescharacteristic
128C47×#388C2211yescharacteristic
129C47×#387C2211yescharacteristic
130C47×#387C2211yescharacteristic
131C47×#387C2211yescharacteristic
132C47×#387C2211yescharacteristic
133C47×#387C2211yescharacteristic
134C47×#387C2211yescharacteristic
135C47×#387C2211yescharacteristic
136C47×#387C2211yescharacteristic
137C47×#387C2211yescharacteristic
138C47×#387C2211yescharacteristic
139C47×#386C2211yescharacteristic
140C47×#386C2211yescharacteristic
141C47×#386C2211yescharacteristic
142C47×#386C2211yescharacteristic
143C47×#386C2211yescharacteristic
144C47×#386C2211yescharacteristic
145C47×#386C2211yescharacteristic
146C47×#386C2211yescharacteristic
147C47×#386C2211yescharacteristic
148C47×#386C2211yescharacteristic
149C47×#386C2211yescharacteristic
150C47×#386C2211yescharacteristic
151C47×#386C2211yescharacteristic
152C47×#386C2211yescharacteristic
153C47×#386C2211yescharacteristic
154C47×#386C2211yescharacteristic
155C47×#386C2211yescharacteristic
156C47×#386C2211yescharacteristic
157C47×#386C2211yescharacteristic
158C47×#386C2211yescharacteristic
159C47×#386C2211yescharacteristic
160C47×#386C2211yescharacteristic
161C47×#386C2211yescharacteristic
162C47×#386C2211yescharacteristic
163C47×#385C2211yescharacteristic
164C47×#385C2211yescharacteristic
165C47×#385C2211yescharacteristic
166C47×#385C2211yescharacteristic
167C47×#385C2211yescharacteristic
168C47×#385C2211yescharacteristic
169C47×#385C2211yescharacteristic
170C47×#385C2211yescharacteristic
171C47×#382C2211yescharacteristic
172C47×#382C2211yescharacteristic
173C47×#382C2211yescharacteristic
174C47×#381C2211yescharacteristic
175C47×#381C2211yescharacteristic
176C47×#381C2211yescharacteristic
177C47×#381C2211yescharacteristic
178C47×#380C2211yescharacteristic
179C47×#380C2211yescharacteristic
180C47×#380C2211yescharacteristic
181C47×#380C2211yescharacteristic
182C4×C4⋊C4×C47C2211yescharacteristic
183C4×C22⋊C4×C47C2211yescharacteristic
184C4×C22⋊C4×C47C2211yescharacteristic
185C47×#376C2211yescharacteristic
186C2×#95×C47C2211yescharacteristic
187C22×Q8×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
200C22×D4×C47C2311yescharacteristic
201C22×D4×C47C2311yescharacteristic
202C22×D4×C47C2311yescharacteristic
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
213#127×C47—24no—
214#126×C47—42no—
215#124×C47—42no—
216#123×C47—42no—
217#123×C47—42no—
218#123×C47—42no—
219#123×C47—42no—
220C22⋊Q8×C47—42no—
221C22⋊Q8×C47—42no—
222#121×C47—24no—
223#121×C47—24no—
224#121×C47—42no—
225#121×C47—42no—
226#121×C47—42no—
227#121×C47—42no—
228C4×D4×C47—42no—
229C4×D4×C47—42no—
230C4×D4×C47—42no—
231C4×D4×C47—42no—
232C4×D4×C47—42no—
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×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×C42×C47—42no—
310C2×C42×C47C2311yescharacteristic
311C2×C42×C47C2311yescharacteristic
312C2×C42×C47C2311yescharacteristic
313C2×C42×C47C2311yescharacteristic
314C2×C42×C47C2311yescharacteristic
315C2×C42×C47C2311yescharacteristic
316C2×C42×C47C2311yescharacteristic
317C2×C42×C47C2311yescharacteristic
318C2×C42×C47C2311yescharacteristic
319#95×C47C2311yescharacteristic
320#95×C47C2311yescharacteristic
321#95×C47C2311yescharacteristic
322#95×C47C2311yescharacteristic
323#95×C47C2311yescharacteristic
324#95×C47C2311yescharacteristic
325#95×C47C2311yescharacteristic
326#95×C47C2311yescharacteristic
327#95×C47C2311yescharacteristic
328#95×C47C2311yescharacteristic
329#95×C47C2311yescharacteristic
330#95×C47C2311yescharacteristic
331#95×C47C2311yescharacteristic
332#95×C47C2311yescharacteristic
333#95×C47C2311yescharacteristic
334#95×C47C2311yescharacteristic
335#95×C47C2311yescharacteristic
336#95×C47C2311yescharacteristic
337#95×C47C2311yescharacteristic
338#95×C47C2311yescharacteristic
339#95×C47C2311yescharacteristic
340#95×C47C2311yescharacteristic
341#95×C47C2311yescharacteristic
342#95×C47C2311yescharacteristic
343#95×C47C2311yescharacteristic
344#95×C47C2311yescharacteristic
345#95×C47C2311yescharacteristic
346#95×C47C2311yescharacteristic
347#95×C47C2311yescharacteristic
348#95×C47C2311yescharacteristic
349#95×C47C2311yescharacteristic
350#95×C47C2311yescharacteristic
351#95×C47C2311yescharacteristic
352#95×C47C2311yescharacteristic
353#95×C47C2311yescharacteristic
354#95×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363C24×C47C2411yescharacteristic
364C24×C47C2411yescharacteristic
365C24×C47C2411yescharacteristic
366C24×C47C2411yescharacteristic
367C24×C47C2411yescharacteristic
368C24×C47C2411yescharacteristic
369C2×Q8×C47—22no—
370C2×Q8×C47—41no—
371C2×Q8×C47—41no—
372C2×D4×C47—22no—
373C2×D4×C47—22no—
374C2×D4×C47—22no—
375C2×D4×C47—22no—
376C2×D4×C47—22no—
377C2×D4×C47—22no—
378C2×D4×C47—22no—
379C2×D4×C47—22no—
380C2×D4×C47—22no—
381C2×D4×C47—22no—
382C2×D4×C47—22no—
383C2×D4×C47—41no—
384C2×D4×C47—41no—
385C2×D4×C47—41no—
386C2×D4×C47—41no—
387C2×D4×C47—41no—
388C2×D4×C47—41no—
389C2×D4×C47—41no—
390C2×D4×C47—41no—
391C2×D4×C47—41no—
392C2×D4×C47—41no—
393C2×D4×C47—41no—
394C2×D4×C47—41no—
395C2×D4×C47—41no—
396C2×D4×C47—41no—
397C2×D4×C47—41no—
398C2×D4×C47—41no—
399C2×D4×C47—41no—
400C2×D4×C47—41no—
401C2×D4×C47—41no—
402C2×D4×C47—41no—
403C2×D4×C47—41no—
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#4114yes—
417C22×C4×C47—22no—
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—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—41no—
446C22×C4×C47—41no—
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
471C22×C4×C47C2411yescharacteristic
472C4⋊C4×C47—22no—
473C4⋊C4×C47—22no—
474C4⋊C4×C47—22no—
475C4⋊C4×C47—22no—
476C4⋊C4×C47—22no—
477C4⋊C4×C47—22no—
478C4⋊C4×C47—22no—
479C4⋊C4×C47—22no—
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—
498C22⋊C4×C47—22no—
499C22⋊C4×C47—22no—
500C22⋊C4×C47—22no—
501C22⋊C4×C47—22no—
502C22⋊C4×C47—22no—
503C22⋊C4×C47—22no—
504C22⋊C4×C47—22no—
505C22⋊C4×C47—22no—
506C22⋊C4×C47—22no—
507C22⋊C4×C47—22no—
508C22⋊C4×C47—22no—
509C22⋊C4×C47—22no—
510C22⋊C4×C47—22no—
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—
546C22⋊C4×C47—41no—
547C22⋊C4×C47—41no—
548C42×C47—22no—
549C42×C47—22no—
550C42×C47—22no—
551C42×C47—22no—
552C42×C47—22no—
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×C47C2×#4112yes—
598C23×C47C2×#4112yes—
599C23×C47C2511yescharacteristic
600Q8×C47—82no—
601D4×C47—44no—
602D4×C47—44no—
603D4×C47—44no—
604D4×C47—44no—
605D4×C47—44no—
606D4×C47—82no—
607D4×C47—82no—
608D4×C47—82no—
609D4×C47—82no—
610D4×C47—82no—
611D4×C47—82no—
612D4×C47—82no—
613D4×C47—82no—
614D4×C47—82no—
615D4×C47—82no—
616C2×C4×C47—21no—
617C2×C4×C47—21no—
618C2×C4×C47—21no—
619C2×C4×C47—21no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—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—44no—
688C2×C4×C47—44no—
689C2×C4×C47—44no—
690C2×C4×C47—82no—
691C2×C4×C47—82no—
692C2×C4×C47—82no—
693C2×C4×C47—82no—
694C2×C4×C47—82no—
695C2×C4×C47—82no—
696C2×C4×C47—82no—
697C2×C4×C47C2×#4112yes—
698C2×C4×C47H(5,𝔽2)12yes—
699C2×C4×C47H(5,𝔽2)12yes—
700C2×C4×C47H(5,𝔽2)12yes—
701#36844C4711yesmaximal, characteristic, direct product factor, Sylow
702C22×C47—22no—
703C22×C47—22no—
704C22×C47—22no—
705C22×C47—22no—
706C22×C47—22no—
707C22×C47—22no—
708C22×C47—41no—
709C22×C47—41no—
710C22×C47—41no—
711C22×C47—41no—
712C22×C47—41no—
713C22×C47—41no—
714C22×C47—41no—
715C22×C47—41no—
716C22×C47—41no—
717C22×C47—41no—
718C22×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×C47C22×#4111yescharacteristic
745C22×C47C2×H(5,𝔽2)11yescharacteristic
746C22×C47C2×H(5,𝔽2)11yescharacteristic
747C22×C47C2×H(5,𝔽2)11yescharacteristic
748C22×C47#58511yescharacteristic
749C22×C47#58511yescharacteristic
750C22×C47#58511yescharacteristic
751C4×C47—22no—
752C4×C47—22no—
753C4×C47—22no—
754C4×C47—22no—
755C4×C47—41no—
756C4×C47—41no—
757C4×C47—41no—
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—
776#2853C2×C4711yescharacteristic, complemented
777#2850C2×C4711yescharacteristic, complemented
778#2803C2×C4711yescharacteristic, complemented
779#2781C2×C4711yescharacteristic, complemented
780#2778C2×C4711yescharacteristic, complemented
781#2767C2×C4711yescharacteristic, complemented
782#2746C2×C4711yescharacteristic, complemented
783#2743C2×C4711yescharacteristic, complemented
784#2732C2×C4711yescharacteristic, complemented
785#2710C2×C4711yescharacteristic, complemented
786#2706C2×C4711yescharacteristic, complemented
787#2699C2×C4711yescharacteristic, complemented
788#2696C2×C4711yescharacteristic, complemented
789#2693C2×C4711yescharacteristic, complemented
790#2688C2×C4711yescharacteristic, complemented
791#2676C2×C4711yescharacteristic, complemented
792#2673C2×C4711yescharacteristic, complemented
793#2673C2×C4711yescharacteristic, complemented
794#2636C2×C4711yescharacteristic, complemented
795#2635C2×C4711yescharacteristic, complemented
796#2529C2×C4711yescharacteristic, complemented
797#2527C2×C4711yescharacteristic, complemented
798#2488C2×C4711yescharacteristic, complemented
799#2468C2×C4711yescharacteristic, complemented
800#2467C2×C4711yescharacteristic, complemented
801#2464C2×C4711yescharacteristic, complemented
802#2456C2×C4711yescharacteristic, complemented
803#2444C2×C4711yescharacteristic, complemented
804#2328C2×C4711yescharacteristic, complemented
805#2325C2×C4711yescharacteristic, complemented
806C4×#121C2×C4711yescharacteristic, complemented
807C2×C47—42no—
808C2×C47—42no—
809C2×C47—81no—
810C2×C47—81no—
811C2×C47—81no—
812C2×C47—81no—
813C2×C47#345911yescharacteristic
814C2×C47#351311yescharacteristic
815C2×C47#351411yescharacteristic
816C2×C47#354211yescharacteristic
817C2×C47#354211yescharacteristic
818C2×C47#354611yescharacteristic
819C2×C47#356711yescharacteristic
820C2×#127C22×C4711yescharacteristic
821C2×#126C22×C4711yescharacteristic
822C2×#124C22×C4711yescharacteristic
823C2×#123C22×C4711yescharacteristic
824C2×#123C22×C4711yescharacteristic
825C2×#123C22×C4711yescharacteristic
826C2×#123C22×C4711yescharacteristic
827C2×C22⋊Q8C22×C4711yescharacteristic
828C2×C22⋊Q8C22×C4711yescharacteristic
829C2×#121C22×C4711yescharacteristic
830C2×#121C22×C4711yescharacteristic
831C2×#121C22×C4711yescharacteristic
832C2×#121C22×C4711yescharacteristic
833C2×#121C22×C4711yescharacteristic
834C2×#121C22×C4711yescharacteristic
835C2×C4×D4C22×C4711yescharacteristic
836C2×C4×D4C22×C4711yescharacteristic
837C2×C4×D4C22×C4711yescharacteristic
838C2×C4×D4C22×C4711yescharacteristic
839C2×C4×D4C22×C4711yescharacteristic
840C22×C42C22×C4711yescharacteristic
841#401C22×C4711yescharacteristic
842#400C22×C4711yescharacteristic
843#400C22×C4711yescharacteristic
844#400C22×C4711yescharacteristic
845#400C22×C4711yescharacteristic
846#400C22×C4711yescharacteristic
847#400C22×C4711yescharacteristic
848#400C22×C4711yescharacteristic
849#399C22×C4711yescharacteristic
850#399C22×C4711yescharacteristic
851#399C22×C4711yescharacteristic
852#398C22×C4711yescharacteristic
853#398C22×C4711yescharacteristic
854#398C22×C4711yescharacteristic
855#398C22×C4711yescharacteristic
856#397C22×C4711yescharacteristic
857#397C22×C4711yescharacteristic
858#397C22×C4711yescharacteristic
859#397C22×C4711yescharacteristic
860#397C22×C4711yescharacteristic
861#396C22×C4711yescharacteristic
862#396C22×C4711yescharacteristic
863#396C22×C4711yescharacteristic
864#396C22×C4711yescharacteristic
865#394C22×C4711yescharacteristic
866#394C22×C4711yescharacteristic
867#394C22×C4711yescharacteristic
868#394C22×C4711yescharacteristic
869#394C22×C4711yescharacteristic
870#394C22×C4711yescharacteristic
871#394C22×C4711yescharacteristic
872#394C22×C4711yescharacteristic
873#394C22×C4711yescharacteristic
874#394C22×C4711yescharacteristic
875#394C22×C4711yescharacteristic
876#394C22×C4711yescharacteristic
877#393C22×C4711yescharacteristic
878#393C22×C4711yescharacteristic
879#392C22×C4711yescharacteristic
880#392C22×C4711yescharacteristic
881#392C22×C4711yescharacteristic
882#392C22×C4711yescharacteristic
883#392C22×C4711yescharacteristic
884#392C22×C4711yescharacteristic
885#392C22×C4711yescharacteristic
886#392C22×C4711yescharacteristic
887#392C22×C4711yescharacteristic
888#392C22×C4711yescharacteristic
889#391C22×C4711yescharacteristic
890#391C22×C4711yescharacteristic
891#390C22×C4711yescharacteristic
892#390C22×C4711yescharacteristic
893#390C22×C4711yescharacteristic
894#390C22×C4711yescharacteristic
895#390C22×C4711yescharacteristic
896#389C22×C4711yescharacteristic
897#389C22×C4711yescharacteristic
898#388C22×C4711yescharacteristic
899#388C22×C4711yescharacteristic
900#388C22×C4711yescharacteristic
901#388C22×C4711yescharacteristic
902#388C22×C4711yescharacteristic
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
912#388C22×C4711yescharacteristic
913#388C22×C4711yescharacteristic
914#388C22×C4711yescharacteristic
915#388C22×C4711yescharacteristic
916#388C22×C4711yescharacteristic
917#387C22×C4711yescharacteristic
918#387C22×C4711yescharacteristic
919#387C22×C4711yescharacteristic
920#387C22×C4711yescharacteristic
921#387C22×C4711yescharacteristic
922#387C22×C4711yescharacteristic
923#387C22×C4711yescharacteristic
924#387C22×C4711yescharacteristic
925#387C22×C4711yescharacteristic
926#387C22×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
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#385C22×C4711yescharacteristic
952#385C22×C4711yescharacteristic
953#385C22×C4711yescharacteristic
954#385C22×C4711yescharacteristic
955#385C22×C4711yescharacteristic
956#385C22×C4711yescharacteristic
957#385C22×C4711yescharacteristic
958#385C22×C4711yescharacteristic
959#382C22×C4711yescharacteristic
960#382C22×C4711yescharacteristic
961#382C22×C4711yescharacteristic
962#381C22×C4711yescharacteristic
963#381C22×C4711yescharacteristic
964#381C22×C4711yescharacteristic
965#381C22×C4711yescharacteristic
966#380C22×C4711yescharacteristic
967#380C22×C4711yescharacteristic
968#380C22×C4711yescharacteristic
969#380C22×C4711yescharacteristic
970C4×C4⋊C4C22×C4711yescharacteristic
971C4×C22⋊C4C22×C4711yescharacteristic
972C4×C22⋊C4C22×C4711yescharacteristic
973#376C22×C4711yescharacteristic
974C2×#95C22×C4711yescharacteristic
975C47#3684411yescharacteristic, direct product factor, Sylow
976C22×Q8C23×C4711yescharacteristic
977C22×D4C23×C4711yescharacteristic
978C22×D4C23×C4711yescharacteristic
979C22×D4C23×C4711yescharacteristic
980C22×D4C23×C4711yescharacteristic
981C22×D4C23×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
992C23×C4C23×C4711yescharacteristic
993C23×C4C23×C4711yescharacteristic
994C23×C4C23×C4711yescharacteristic
995C23×C4C23×C4711yescharacteristic
996C23×C4C23×C4711yescharacteristic
997C23×C4C23×C4711yescharacteristic
998C23×C4C23×C4711yescharacteristic
999C23×C4C23×C4711yescharacteristic
1000C23×C4C23×C4711yescharacteristic
1001C23×C4C23×C4711yescharacteristic
1002#127—24no—
1003#126—42no—
1004#124—42no—
1005#123—42no—
1006#123—42no—
1007#123—42no—
1008#123—42no—
1009C22⋊Q8—42no—
1010C22⋊Q8—42no—
1011#121—24no—
1012#121—24no—
1013#121—42no—
1014#121—42no—
1015#121—42no—
1016#121—42no—
1017C4×D4—42no—
1018C4×D4—42no—
1019C4×D4—42no—
1020C4×D4—42no—
1021C4×D4—42no—
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×C4⋊C4C23×C4711yescharacteristic
1047C2×C4⋊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×C42—42no—
1099C2×C42C23×C4711yescharacteristic
1100C2×C42C23×C4711yescharacteristic
1101C2×C42C23×C4711yescharacteristic
1102C2×C42C23×C4711yescharacteristic
1103C2×C42C23×C4711yescharacteristic
1104C2×C42C23×C4711yescharacteristic
1105C2×C42C23×C4711yescharacteristic
1106C2×C42C23×C4711yescharacteristic
1107C2×C42C23×C4711yescharacteristic
1108#95C23×C4711yescharacteristic
1109#95C23×C4711yescharacteristic
1110#95C23×C4711yescharacteristic
1111#95C23×C4711yescharacteristic
1112#95C23×C4711yescharacteristic
1113#95C23×C4711yescharacteristic
1114#95C23×C4711yescharacteristic
1115#95C23×C4711yescharacteristic
1116#95C23×C4711yescharacteristic
1117#95C23×C4711yescharacteristic
1118#95C23×C4711yescharacteristic
1119#95C23×C4711yescharacteristic
1120#95C23×C4711yescharacteristic
1121#95C23×C4711yescharacteristic
1122#95C23×C4711yescharacteristic
1123#95C23×C4711yescharacteristic
1124#95C23×C4711yescharacteristic
1125#95C23×C4711yescharacteristic
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
1152C24C24×C4711yescharacteristic
1153C24C24×C4711yescharacteristic
1154C24C24×C4711yescharacteristic
1155C24C24×C4711yescharacteristic
1156C24C24×C4711yescharacteristic
1157C24C24×C4711yescharacteristic
1158C2×Q8—22no—
1159C2×Q8—41no—
1160C2×Q8—41no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
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#41×C4714yes—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
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×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
1256C22×C4C24×C4711yescharacteristic
1257C22×C4C24×C4711yescharacteristic
1258C22×C4C24×C4711yescharacteristic
1259C22×C4C24×C4711yescharacteristic
1260C22×C4C24×C4711yescharacteristic
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
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—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
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—22no—
1299C22⋊C4—22no—
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—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C42—41no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
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—
1386C23C2×#41×C4712yes—
1387C23C2×#41×C4712yes—
1388C23C25×C4711yescharacteristic
1389Q8—82no—
1390D4—44no—
1391D4—44no—
1392D4—44no—
1393D4—44no—
1394D4—44no—
1395D4—82no—
1396D4—82no—
1397D4—82no—
1398D4—82no—
1399D4—82no—
1400D4—82no—
1401D4—82no—
1402D4—82no—
1403D4—82no—
1404D4—82no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—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—44no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—82no—
1480C2×C4—82no—
1481C2×C4—82no—
1482C2×C4—82no—
1483C2×C4—82no—
1484C2×C4—82no—
1485C2×C4—82no—
1486C2×C4C2×#41×C4712yes—
1487C2×C4H(5,𝔽2)×C4712yes—
1488C2×C4H(5,𝔽2)×C4712yes—
1489C2×C4H(5,𝔽2)×C4712yes—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
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—
1532C22C22×#41×C4711yescharacteristic
1533C22C2×H(5,𝔽2)×C4711yescharacteristic
1534C22C2×H(5,𝔽2)×C4711yescharacteristic
1535C22C2×H(5,𝔽2)×C4711yescharacteristic
1536C22C47×#58511yescharacteristic
1537C22C47×#58511yescharacteristic
1538C22C47×#58511yescharacteristic
1539C4—22no—
1540C4—22no—
1541C4—22no—
1542C4—22no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
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—
1564C2—42no—
1565C2—42no—
1566C2—81no—
1567C2—81no—
1568C2—81no—
1569C2—81no—
1570C2C47×#345911yescharacteristic
1571C2C47×#351311yescharacteristic
1572C2C47×#351411yescharacteristic
1573C2C47×#354211yescharacteristic
1574C2C47×#354211yescharacteristic
1575C2C47×#354611yescharacteristic
1576C2C47×#356711yescharacteristic
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×#2803C2semidirect
4. C47×#2781C2semidirect
5. C47×#2778C2semidirect
6. C47×#2767C2semidirect
7. C47×#2746C2semidirect
8. C47×#2743C2semidirect
9. C47×#2732C2semidirect
10. C47×#2710C2semidirect
11. C47×#2706C2semidirect
12. C47×#2699C2semidirect
13. C47×#2696C2semidirect
14. C47×#2693C2semidirect
15. C47×#2688C2semidirect
16. C47×#2676C2semidirect
17. C47×#2673C2semidirect
18. C47×#2673C2semidirect
19. C47×#2636C2semidirect
20. C47×#2635C2semidirect
21. C47×#2529C2semidirect
22. C47×#2527C2semidirect
23. C47×#2488C2semidirect
24. C47×#2468C2semidirect
25. C47×#2467C2semidirect
26. C47×#2464C2semidirect
27. C47×#2456C2semidirect
28. C47×#2444C2semidirect
29. C47×#2328C2semidirect
30. C47×#2325C2semidirect
31. C4×#121×C47C2semidirect
701. #36844C47direct (N × H)
776. #2853C2×C47semidirect
777. #2850C2×C47semidirect
778. #2803C2×C47semidirect
779. #2781C2×C47semidirect
780. #2778C2×C47semidirect
781. #2767C2×C47semidirect
782. #2746C2×C47semidirect
783. #2743C2×C47semidirect
784. #2732C2×C47semidirect
785. #2710C2×C47semidirect
786. #2706C2×C47semidirect
787. #2699C2×C47semidirect
788. #2696C2×C47semidirect
789. #2693C2×C47semidirect
790. #2688C2×C47semidirect
791. #2676C2×C47semidirect
792. #2673C2×C47semidirect
793. #2673C2×C47semidirect
794. #2636C2×C47semidirect
795. #2635C2×C47semidirect
796. #2529C2×C47semidirect
797. #2527C2×C47semidirect
798. #2488C2×C47semidirect
799. #2468C2×C47semidirect
800. #2467C2×C47semidirect
801. #2464C2×C47semidirect
802. #2456C2×C47semidirect
803. #2444C2×C47semidirect
804. #2328C2×C47semidirect
805. #2325C2×C47semidirect
806. C4×#121C2×C47semidirect
975. C47#36844direct (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×#28032
C47×#27812
C47×#27782
C47×#27672
C47×#27462
C47×#27432
C47×#27322
C47×#27102
C47×#27062
C47×#26992
C47×#26962
C47×#26932
C47×#26882
C47×#26762
C47×#26732
C47×#26362
C47×#26352
C47×#25292
C47×#25272
C47×#24882
C47×#24682
C47×#24672
C47×#24642
C47×#24562
C47×#24442
C47×#23282
C47×#23252
C4×#121×C472
#3684447