Finite Group Databasebeta

← C47×#36856 #26076554

Subgroups — C47×#36856 #26076554

Order 12032.

2112 conjugacy classes of subgroups.

The subgroup lattice has 1674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#2849C211yesmaximal, characteristic, complemented
2C47×#2847C211yesmaximal, characteristic, complemented
3C47×#2797C211yesmaximal, characteristic, complemented
4C47×#2782C211yesmaximal, characteristic, complemented
5C47×#2780C211yesmaximal, characteristic, complemented
6C47×#2750C211yesmaximal, characteristic, complemented
7C47×#2744C211yesmaximal, characteristic, complemented
8C47×#2708C211yesmaximal, characteristic, complemented
9C47×#2697C211yesmaximal, characteristic, complemented
10C47×#2693C211yesmaximal, characteristic, complemented
11C47×#2693C211yesmaximal, characteristic, complemented
12C47×#2688C211yesmaximal, characteristic, complemented
13C47×#2688C211yesmaximal, characteristic, complemented
14C47×#2682C211yesmaximal, characteristic, complemented
15C47×#2678C211yesmaximal, characteristic, complemented
16C47×#2673C211yesmaximal, characteristic, complemented
17C47×#2669C211yesmaximal, characteristic, complemented
18C47×#2668C211yesmaximal, characteristic, complemented
19C47×#2649C211yesmaximal, characteristic, complemented
20C47×#2648C211yesmaximal, characteristic, complemented
21C47×#2530C211yesmaximal, characteristic, complemented
22C47×#2526C211yesmaximal, characteristic, complemented
23C47×#2464C211yesmaximal, characteristic, complemented
24C47×#2457C211yesmaximal, characteristic, complemented
25C47×#2456C211yesmaximal, characteristic, complemented
26C47×#2456C211yesmaximal, characteristic, complemented
27C47×#2444C211yesmaximal, characteristic, complemented
28C47×#2425C211yesmaximal, characteristic, complemented
29C47×#2328C211yesmaximal, characteristic, complemented
30C47×#2325C211yesmaximal, characteristic, complemented
31C4×#120×C47C211yesmaximal, characteristic, complemented
32C24×C4×C47C2211yescharacteristic
33C2×#127×C47C2211yescharacteristic
34C2×#123×C47C2211yescharacteristic
35C2×#123×C47C2211yescharacteristic
36C2×#123×C47C2211yescharacteristic
37C2×#123×C47C2211yescharacteristic
38C2×#123×C47C2211yescharacteristic, complemented
39C2×#123×C47C2211yescharacteristic, complemented
40C2×#121×C47C2211yescharacteristic
41C2×#121×C47C2211yescharacteristic
42C2×#121×C47C2211yescharacteristic
43C2×#121×C47C2211yescharacteristic
44C2×#121×C47C2211yescharacteristic
45C2×#121×C47C2211yescharacteristic
46C2×#121×C47C2211yescharacteristic
47C2×#121×C47C2211yescharacteristic
48C2×#120×C47C2211yescharacteristic
49C2×#120×C47C2211yescharacteristic
50C2×#120×C47C2211yescharacteristic
51C2×#120×C47C2211yescharacteristic
52C2×C4×D4×C47C2211yescharacteristic
53C2×C4×D4×C47C2211yescharacteristic
54C2×C4×D4×C47C2211yescharacteristic
55C2×C4×D4×C47C2211yescharacteristic, complemented
56C2×C4×D4×C47C2211yescharacteristic, complemented
57C47×#400C2211yescharacteristic, complemented
58C47×#400C2211yescharacteristic, complemented
59C47×#400C2211yescharacteristic, complemented
60C47×#400C2211yescharacteristic, complemented
61C47×#400C2211yescharacteristic, complemented
62C47×#400C2211yescharacteristic, complemented
63C47×#400C2211yescharacteristic, complemented
64C47×#400C2211yescharacteristic, complemented
65C47×#399C2211yescharacteristic
66C47×#398C2211yescharacteristic, complemented
67C47×#398C2211yescharacteristic, complemented
68C47×#397C2211yescharacteristic
69C47×#397C2211yescharacteristic
70C47×#397C2211yescharacteristic
71C47×#397C2211yescharacteristic
72C47×#397C2211yescharacteristic
73C47×#397C2211yescharacteristic, complemented
74C47×#397C2211yescharacteristic, complemented
75C47×#397C2211yescharacteristic, complemented
76C47×#397C2211yescharacteristic, complemented
77C47×#397C2211yescharacteristic, complemented
78C47×#396C2211yescharacteristic
79C47×#396C2211yescharacteristic
80C47×#396C2211yescharacteristic
81C47×#396C2211yescharacteristic, complemented
82C47×#396C2211yescharacteristic, complemented
83C47×#396C2211yescharacteristic, complemented
84C47×#396C2211yescharacteristic, complemented
85C47×#394C2211yescharacteristic
86C47×#394C2211yescharacteristic
87C47×#394C2211yescharacteristic
88C47×#394C2211yescharacteristic
89C47×#394C2211yescharacteristic
90C47×#394C2211yescharacteristic
91C47×#394C2211yescharacteristic
92C47×#394C2211yescharacteristic
93C47×#394C2211yescharacteristic, complemented
94C47×#394C2211yescharacteristic, complemented
95C47×#392C2211yescharacteristic
96C47×#392C2211yescharacteristic
97C47×#392C2211yescharacteristic
98C47×#392C2211yescharacteristic
99C47×#392C2211yescharacteristic
100C47×#392C2211yescharacteristic
101C47×#392C2211yescharacteristic
102C47×#392C2211yescharacteristic, complemented
103C47×#392C2211yescharacteristic, complemented
104C47×#392C2211yescharacteristic, complemented
105C47×#390C2211yescharacteristic
106C47×#390C2211yescharacteristic
107C47×#390C2211yescharacteristic
108C47×#390C2211yescharacteristic, complemented
109C47×#390C2211yescharacteristic, complemented
110C47×#389C2211yescharacteristic, complemented
111C47×#389C2211yescharacteristic, complemented
112C47×#388C2211yescharacteristic
113C47×#388C2211yescharacteristic
114C47×#388C2211yescharacteristic
115C47×#388C2211yescharacteristic
116C47×#388C2211yescharacteristic
117C47×#388C2211yescharacteristic, complemented
118C47×#388C2211yescharacteristic, complemented
119C47×#388C2211yescharacteristic, complemented
120C47×#388C2211yescharacteristic, complemented
121C47×#388C2211yescharacteristic, complemented
122C47×#388C2211yescharacteristic, complemented
123C47×#388C2211yescharacteristic, complemented
124C47×#387C2211yescharacteristic, complemented
125C47×#387C2211yescharacteristic, complemented
126C47×#387C2211yescharacteristic, complemented
127C47×#387C2211yescharacteristic, complemented
128C47×#387C2211yescharacteristic, complemented
129C47×#387C2211yescharacteristic, complemented
130C47×#387C2211yescharacteristic, complemented
131C47×#386C2211yescharacteristic
132C47×#386C2211yescharacteristic
133C47×#386C2211yescharacteristic
134C47×#386C2211yescharacteristic
135C47×#386C2211yescharacteristic
136C47×#386C2211yescharacteristic
137C47×#386C2211yescharacteristic
138C47×#386C2211yescharacteristic
139C47×#386C2211yescharacteristic
140C47×#386C2211yescharacteristic
141C47×#386C2211yescharacteristic
142C47×#386C2211yescharacteristic
143C47×#386C2211yescharacteristic
144C47×#386C2211yescharacteristic
145C47×#386C2211yescharacteristic
146C47×#386C2211yescharacteristic
147C47×#386C2211yescharacteristic
148C47×#386C2211yescharacteristic
149C47×#386C2211yescharacteristic
150C47×#386C2211yescharacteristic
151C47×#386C2211yescharacteristic
152C47×#386C2211yescharacteristic, complemented
153C47×#386C2211yescharacteristic, complemented
154C47×#386C2211yescharacteristic, complemented
155C47×#386C2211yescharacteristic, complemented
156C47×#386C2211yescharacteristic, complemented
157C47×#386C2211yescharacteristic, complemented
158C47×#386C2211yescharacteristic, complemented
159C47×#385C2211yescharacteristic
160C47×#385C2211yescharacteristic
161C47×#385C2211yescharacteristic
162C47×#385C2211yescharacteristic
163C47×#385C2211yescharacteristic
164C47×#385C2211yescharacteristic
165C47×#385C2211yescharacteristic
166C47×#385C2211yescharacteristic, complemented
167C47×#385C2211yescharacteristic, complemented
168C47×#385C2211yescharacteristic, complemented
169C47×#385C2211yescharacteristic, complemented
170C47×#385C2211yescharacteristic, complemented
171C47×#382C2211yescharacteristic, complemented
172C47×#381C2211yescharacteristic
173C47×#381C2211yescharacteristic
174C47×#381C2211yescharacteristic, complemented
175C47×#380C2211yescharacteristic
176C47×#380C2211yescharacteristic
177C47×#380C2211yescharacteristic
178C47×#380C2211yescharacteristic, complemented
179C47×#380C2211yescharacteristic, complemented
180C47×#379C2211yescharacteristic
181C47×#379C2211yescharacteristic
182C4×C22⋊C4×C47C2211yescharacteristic
183C4×C22⋊C4×C47C2211yescharacteristic
184C4×C22⋊C4×C47C2211yescharacteristic
185C47×#376C2211yescharacteristic, complemented
186C2×#95×C47C2211yescharacteristic, complemented
187C25×C47C2311yescharacteristic
188C22×D4×C47C2311yescharacteristic
189C22×D4×C47C2311yescharacteristic
190C22×D4×C47C2311yescharacteristic
191C22×D4×C47C2311yescharacteristic
192C22×D4×C47C2311yescharacteristic
193C22×D4×C47C2311yescharacteristic
194C22×D4×C47C2311yescharacteristic
195C22×D4×C47C2311yescharacteristic
196C22×D4×C47C2311yescharacteristic
197C22×D4×C47C2311yescharacteristic
198C22×D4×C47C2311yescharacteristic
199C22×D4×C47C2311yescharacteristic
200C22×D4×C47C2311yescharacteristic
201C22×D4×C47C2311yescharacteristic
202C22×D4×C47C2311yescharacteristic
203C22×D4×C47C2311yescharacteristic
204C22×D4×C47C2311yescharacteristic
205C22×D4×C47C2311yescharacteristic
206C23×C4×C47—42no—
207C23×C4×C47—42no—
208C23×C4×C47—42no—
209C23×C4×C47C2311yescharacteristic
210C23×C4×C47C2311yescharacteristic
211C23×C4×C47C2311yescharacteristic
212C23×C4×C47C2311yescharacteristic
213C23×C4×C47C2311yescharacteristic
214C23×C4×C47C2311yescharacteristic
215C23×C4×C47C2311yescharacteristic
216C23×C4×C47C2311yescharacteristic
217C23×C4×C47C2311yescharacteristic
218C23×C4×C47C2311yescharacteristic
219C23×C4×C47C2311yescharacteristic
220C23×C4×C47C2311yescharacteristic
221#127×C47—24no—
222#123×C47—42no—
223#123×C47—42no—
224#123×C47—42no—
225#123×C47—42no—
226#123×C47—42no—
227#123×C47—42no—
228#121×C47—24no—
229#121×C47—42no—
230#121×C47—42no—
231#121×C47—42no—
232#121×C47—42no—
233#121×C47—42no—
234#121×C47—42no—
235#121×C47—42no—
236#120×C47—24no—
237#120×C47—42no—
238#120×C47—42no—
239#120×C47—42no—
240C4×D4×C47—42no—
241C4×D4×C47—42no—
242C4×D4×C47—42no—
243C4×D4×C47—42no—
244C4×D4×C47—42no—
245C2×C4⋊C4×C47C2311yescharacteristic
246C2×C4⋊C4×C47C2311yescharacteristic
247C2×C4⋊C4×C47C2311yescharacteristic
248C2×C4⋊C4×C47C2311yescharacteristic
249C2×C4⋊C4×C47C2311yescharacteristic
250C2×C4⋊C4×C47C2311yescharacteristic
251C2×C4⋊C4×C47C2311yescharacteristic
252C2×C4⋊C4×C47C2311yescharacteristic
253C2×C4⋊C4×C47C2311yescharacteristic
254C2×C4⋊C4×C47C2311yescharacteristic
255C2×C4⋊C4×C47C2311yescharacteristic
256C2×C4⋊C4×C47C2311yescharacteristic
257C2×C4⋊C4×C47C2311yescharacteristic
258C2×C4⋊C4×C47C2311yescharacteristic
259C2×C4⋊C4×C47C2311yescharacteristic
260C2×C4⋊C4×C47C2311yescharacteristic
261C2×C4⋊C4×C47C2311yescharacteristic
262C2×C4⋊C4×C47C2311yescharacteristic
263C2×C4⋊C4×C47C2311yescharacteristic
264C2×C4⋊C4×C47C2311yescharacteristic
265C2×C4⋊C4×C47C2311yescharacteristic
266C2×C4⋊C4×C47C2311yescharacteristic
267C2×C4⋊C4×C47C2311yescharacteristic
268C2×C4⋊C4×C47C2311yescharacteristic
269C2×C22⋊C4×C47C2311yescharacteristic
270C2×C22⋊C4×C47C2311yescharacteristic
271C2×C22⋊C4×C47C2311yescharacteristic
272C2×C22⋊C4×C47C2311yescharacteristic
273C2×C22⋊C4×C47C2311yescharacteristic
274C2×C22⋊C4×C47C2311yescharacteristic
275C2×C22⋊C4×C47C2311yescharacteristic
276C2×C22⋊C4×C47C2311yescharacteristic
277C2×C22⋊C4×C47C2311yescharacteristic
278C2×C22⋊C4×C47C2311yescharacteristic
279C2×C22⋊C4×C47C2311yescharacteristic
280C2×C22⋊C4×C47C2311yescharacteristic
281C2×C22⋊C4×C47C2311yescharacteristic
282C2×C22⋊C4×C47C2311yescharacteristic
283C2×C22⋊C4×C47C2311yescharacteristic
284C2×C22⋊C4×C47C2311yescharacteristic
285C2×C22⋊C4×C47C2311yescharacteristic
286C2×C22⋊C4×C47C2311yescharacteristic
287C2×C22⋊C4×C47C2311yescharacteristic
288C2×C22⋊C4×C47C2311yescharacteristic
289C2×C22⋊C4×C47C2311yescharacteristic
290C2×C22⋊C4×C47C2311yescharacteristic
291C2×C22⋊C4×C47C2311yescharacteristic
292C2×C22⋊C4×C47C2311yescharacteristic
293C2×C22⋊C4×C47C2311yescharacteristic
294C2×C22⋊C4×C47C2311yescharacteristic
295C2×C22⋊C4×C47C2311yescharacteristic
296C2×C22⋊C4×C47C2311yescharacteristic
297C2×C22⋊C4×C47C2311yescharacteristic
298C2×C22⋊C4×C47C2311yescharacteristic
299C2×C22⋊C4×C47C2311yescharacteristic
300C2×C22⋊C4×C47C2311yescharacteristic
301C2×C22⋊C4×C47C2311yescharacteristic
302C2×C22⋊C4×C47C2311yescharacteristic
303C2×C22⋊C4×C47C2311yescharacteristic
304C2×C22⋊C4×C47C2311yescharacteristic
305C2×C22⋊C4×C47C2311yescharacteristic
306C2×C22⋊C4×C47C2311yescharacteristic
307C2×C22⋊C4×C47C2311yescharacteristic
308C2×C22⋊C4×C47C2311yescharacteristic
309C2×C22⋊C4×C47C2311yescharacteristic
310C2×C22⋊C4×C47C2311yescharacteristic
311C2×C22⋊C4×C47C2311yescharacteristic
312C2×C22⋊C4×C47C2311yescharacteristic
313C2×C22⋊C4×C47C2311yescharacteristic
314C2×C22⋊C4×C47C2311yescharacteristic
315C2×C22⋊C4×C47C2311yescharacteristic
316C2×C22⋊C4×C47C2311yescharacteristic
317C2×C22⋊C4×C47C2311yescharacteristic
318C2×C22⋊C4×C47C2311yescharacteristic
319C2×C22⋊C4×C47C2311yescharacteristic
320C2×C22⋊C4×C47C2311yescharacteristic
321C2×C22⋊C4×C47C2311yescharacteristic
322C2×C22⋊C4×C47C2311yescharacteristic
323C2×C42×C47C2311yescharacteristic
324C2×C42×C47C2311yescharacteristic
325C2×C42×C47C2311yescharacteristic
326C2×C42×C47C2311yescharacteristic
327C2×C42×C47C2311yescharacteristic
328C2×C42×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
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369C24×C47—22no—
370C24×C47—22no—
371C24×C47—22no—
372C24×C47—41no—
373C24×C47—41no—
374C24×C47—41no—
375C24×C47—41no—
376C24×C47C2411yescharacteristic
377C24×C47C2411yescharacteristic
378C24×C47C2411yescharacteristic
379C24×C47C2411yescharacteristic
380C24×C47C2411yescharacteristic
381C24×C47C2411yescharacteristic
382C24×C47C2411yescharacteristic
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—22no—
391C2×D4×C47—22no—
392C2×D4×C47—22no—
393C2×D4×C47—22no—
394C2×D4×C47—22no—
395C2×D4×C47—22no—
396C2×D4×C47—22no—
397C2×D4×C47—22no—
398C2×D4×C47—22no—
399C2×D4×C47—22no—
400C2×D4×C47—22no—
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—41no—
418C2×D4×C47—41no—
419C2×D4×C47—41no—
420C2×D4×C47—41no—
421C2×D4×C47—41no—
422C2×D4×C47—41no—
423C2×D4×C47—41no—
424C2×D4×C47—41no—
425C2×D4×C47—41no—
426C2×D4×C47—41no—
427C2×D4×C47—41no—
428C2×D4×C47—41no—
429C2×D4×C47—41no—
430C2×D4×C47—41no—
431C2×D4×C47—41no—
432C2×D4×C47—41no—
433C2×D4×C47—41no—
434C2×D4×C47—41no—
435C2×D4×C47—41no—
436C2×D4×C47#4114yes—
437C22×C4×C47—22no—
438C22×C4×C47—22no—
439C22×C4×C47—22no—
440C22×C4×C47—22no—
441C22×C4×C47—22no—
442C22×C4×C47—22no—
443C22×C4×C47—22no—
444C22×C4×C47—22no—
445C22×C4×C47—22no—
446C22×C4×C47—22no—
447C22×C4×C47—41no—
448C22×C4×C47—41no—
449C22×C4×C47—41no—
450C22×C4×C47—41no—
451C22×C4×C47—41no—
452C22×C4×C47—41no—
453C22×C4×C47—41no—
454C22×C4×C47—41no—
455C22×C4×C47—41no—
456C22×C4×C47—41no—
457C22×C4×C47—41no—
458C22×C4×C47—41no—
459C22×C4×C47—41no—
460C22×C4×C47—41no—
461C22×C4×C47—41no—
462C22×C4×C47—41no—
463C22×C4×C47—41no—
464C22×C4×C47—41no—
465C22×C4×C47—41no—
466C22×C4×C47—41no—
467C22×C4×C47—41no—
468C22×C4×C47—41no—
469C22×C4×C47—41no—
470C22×C4×C47—41no—
471C22×C4×C47—41no—
472C22×C4×C47—41no—
473C22×C4×C47—416no—
474C22×C4×C47C2411yescharacteristic
475C22×C4×C47C2411yescharacteristic
476C22×C4×C47C2411yescharacteristic
477C22×C4×C47C2411yescharacteristic
478C22×C4×C47C2411yescharacteristic
479C22×C4×C47C2411yescharacteristic
480C22×C4×C47C2411yescharacteristic
481C22×C4×C47C2411yescharacteristic
482C22×C4×C47C2411yescharacteristic
483C22×C4×C47C2411yescharacteristic
484C22×C4×C47C2411yescharacteristic
485C22×C4×C47C2411yescharacteristic
486C22×C4×C47C2411yescharacteristic
487C22×C4×C47C2411yescharacteristic
488C22×C4×C47C2411yescharacteristic
489C22×C4×C47C2411yescharacteristic
490C22×C4×C47C2411yescharacteristic
491C22×C4×C47C2411yescharacteristic
492C22×C4×C47C2411yescharacteristic
493C22×C4×C47C2411yescharacteristic
494C22×C4×C47C2411yescharacteristic
495C22×C4×C47C2411yescharacteristic
496C22×C4×C47C2411yescharacteristic
497C22×C4×C47C2411yescharacteristic
498C4⋊C4×C47—22no—
499C4⋊C4×C47—22no—
500C4⋊C4×C47—22no—
501C4⋊C4×C47—22no—
502C4⋊C4×C47—22no—
503C4⋊C4×C47—41no—
504C4⋊C4×C47—41no—
505C4⋊C4×C47—41no—
506C4⋊C4×C47—41no—
507C4⋊C4×C47—41no—
508C4⋊C4×C47—41no—
509C4⋊C4×C47—41no—
510C4⋊C4×C47—41no—
511C4⋊C4×C47—41no—
512C4⋊C4×C47—41no—
513C4⋊C4×C47—41no—
514C4⋊C4×C47—41no—
515C4⋊C4×C47—41no—
516C4⋊C4×C47—41no—
517C4⋊C4×C47—41no—
518C4⋊C4×C47—41no—
519C4⋊C4×C47—41no—
520C4⋊C4×C47—41no—
521C4⋊C4×C47—41no—
522C22⋊C4×C47—22no—
523C22⋊C4×C47—22no—
524C22⋊C4×C47—22no—
525C22⋊C4×C47—22no—
526C22⋊C4×C47—22no—
527C22⋊C4×C47—22no—
528C22⋊C4×C47—22no—
529C22⋊C4×C47—22no—
530C22⋊C4×C47—22no—
531C22⋊C4×C47—22no—
532C22⋊C4×C47—22no—
533C22⋊C4×C47—22no—
534C22⋊C4×C47—22no—
535C22⋊C4×C47—22no—
536C22⋊C4×C47—22no—
537C22⋊C4×C47—22no—
538C22⋊C4×C47—41no—
539C22⋊C4×C47—41no—
540C22⋊C4×C47—41no—
541C22⋊C4×C47—41no—
542C22⋊C4×C47—41no—
543C22⋊C4×C47—41no—
544C22⋊C4×C47—41no—
545C22⋊C4×C47—41no—
546C22⋊C4×C47—41no—
547C22⋊C4×C47—41no—
548C22⋊C4×C47—41no—
549C22⋊C4×C47—41no—
550C22⋊C4×C47—41no—
551C22⋊C4×C47—41no—
552C22⋊C4×C47—41no—
553C22⋊C4×C47—41no—
554C22⋊C4×C47—41no—
555C22⋊C4×C47—41no—
556C22⋊C4×C47—41no—
557C22⋊C4×C47—41no—
558C22⋊C4×C47—41no—
559C22⋊C4×C47—41no—
560C22⋊C4×C47—41no—
561C22⋊C4×C47—41no—
562C22⋊C4×C47—41no—
563C22⋊C4×C47—41no—
564C22⋊C4×C47—41no—
565C22⋊C4×C47—41no—
566C22⋊C4×C47—41no—
567C22⋊C4×C47—41no—
568C22⋊C4×C47—41no—
569C22⋊C4×C47—41no—
570C22⋊C4×C47—41no—
571C22⋊C4×C47—41no—
572C22⋊C4×C47—41no—
573C22⋊C4×C47—41no—
574C22⋊C4×C47—41no—
575C22⋊C4×C47—41no—
576C42×C47—22no—
577C42×C47—22no—
578C42×C47—41no—
579C42×C47—41no—
580C42×C47—41no—
581C42×C47—41no—
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—21no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—21no—
601C23×C47—21no—
602C23×C47—21no—
603C23×C47—21no—
604C23×C47—21no—
605C23×C47—21no—
606C23×C47—21no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47—21no—
622C23×C47—21no—
623C23×C47—21no—
624C23×C47—21no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—44no—
628C23×C47—44no—
629C23×C47—44no—
630C23×C47—44no—
631C23×C47—44no—
632C23×C47—44no—
633C23×C47—44no—
634C23×C47C2×#4112yes—
635C23×C47C2×#4112yes—
636C23×C47H(5,𝔽2)12yes—
637C23×C47H(5,𝔽2)12yes—
638C23×C47C2511yescharacteristic
639D4×C47—44no—
640D4×C47—44no—
641D4×C47—44no—
642D4×C47—44no—
643D4×C47—44no—
644D4×C47—82no—
645D4×C47—82no—
646D4×C47—82no—
647D4×C47—82no—
648D4×C47—82no—
649D4×C47—82no—
650D4×C47—82no—
651D4×C47—82no—
652D4×C47—82no—
653D4×C47—82no—
654D4×C47—82no—
655D4×C47—82no—
656D4×C47—82no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—21no—
699C2×C4×C47—21no—
700C2×C4×C47—21no—
701C2×C4×C47—21no—
702C2×C4×C47—21no—
703C2×C4×C47—21no—
704C2×C4×C47—21no—
705C2×C4×C47—21no—
706C2×C4×C47—21no—
707C2×C4×C47—21no—
708C2×C4×C47—21no—
709C2×C4×C47—21no—
710C2×C4×C47—21no—
711C2×C4×C47—21no—
712C2×C4×C47—21no—
713C2×C4×C47—21no—
714C2×C4×C47—21no—
715C2×C4×C47—21no—
716C2×C4×C47—21no—
717C2×C4×C47—21no—
718C2×C4×C47—21no—
719C2×C4×C47—21no—
720C2×C4×C47—21no—
721C2×C4×C47—21no—
722C2×C4×C47—21no—
723C2×C4×C47—21no—
724C2×C4×C47—21no—
725C2×C4×C47—21no—
726C2×C4×C47—44no—
727C2×C4×C47—44no—
728C2×C4×C47—44no—
729C2×C4×C47—44no—
730C2×C4×C47—44no—
731C2×C4×C47—44no—
732C2×C4×C47—82no—
733C2×C4×C47—82no—
734C2×C4×C47—82no—
735C2×C4×C47—82no—
736C2×C4×C47—82no—
737C2×C4×C47—82no—
738C2×C4×C47C2×#4112yes—
739C2×C4×C47H(5,𝔽2)12yes—
740C2×C4×C47H(5,𝔽2)12yes—
741#36856C4711yesmaximal, characteristic, direct product factor, Sylow
742C22×C47—22no—
743C22×C47—22no—
744C22×C47—22no—
745C22×C47—22no—
746C22×C47—22no—
747C22×C47—22no—
748C22×C47—22no—
749C22×C47—22no—
750C22×C47—22no—
751C22×C47—22no—
752C22×C47—22no—
753C22×C47—22no—
754C22×C47—416no—
755C22×C47—41no—
756C22×C47—41no—
757C22×C47—41no—
758C22×C47—41no—
759C22×C47—41no—
760C22×C47—41no—
761C22×C47—41no—
762C22×C47—41no—
763C22×C47—41no—
764C22×C47—41no—
765C22×C47—41no—
766C22×C47—41no—
767C22×C47—41no—
768C22×C47—41no—
769C22×C47—41no—
770C22×C47—41no—
771C22×C47—41no—
772C22×C47—41no—
773C22×C47—41no—
774C22×C47—41no—
775C22×C47—41no—
776C22×C47—41no—
777C22×C47—41no—
778C22×C47—41no—
779C22×C47—41no—
780C22×C47—41no—
781C22×C47—41no—
782C22×C47—41no—
783C22×C47—41no—
784C22×C47—41no—
785C22×C47—41no—
786C22×C47—41no—
787C22×C47—41no—
788C22×C47—41no—
789C22×C47—41no—
790C22×C47—41no—
791C22×C47—41no—
792C22×C47C22×#4111yescharacteristic
793C22×C47C2×H(5,𝔽2)11yescharacteristic
794C22×C47C2×H(5,𝔽2)11yescharacteristic
795C22×C47C2×H(5,𝔽2)11yescharacteristic
796C22×C47C2×H(5,𝔽2)11yescharacteristic
797C22×C47#58511yescharacteristic
798C22×C47#58511yescharacteristic
799C4×C47—22no—
800C4×C47—22no—
801C4×C47—22no—
802C4×C47—41no—
803C4×C47—41no—
804C4×C47—41no—
805C4×C47—41no—
806C4×C47—41no—
807C4×C47—41no—
808C4×C47—41no—
809C4×C47—41no—
810C4×C47—41no—
811C4×C47—41no—
812C4×C47—41no—
813C4×C47—41no—
814C4×C47—41no—
815C4×C47—41no—
816C4×C47—41no—
817C4×C47—41no—
818C4×C47—41no—
819C4×C47—41no—
820C4×C47—41no—
821C4×C47—41no—
822C4×C47—41no—
823#2849C2×C4711yescharacteristic, complemented
824#2847C2×C4711yescharacteristic, complemented
825#2797C2×C4711yescharacteristic, complemented
826#2782C2×C4711yescharacteristic, complemented
827#2780C2×C4711yescharacteristic, complemented
828#2750C2×C4711yescharacteristic, complemented
829#2744C2×C4711yescharacteristic, complemented
830#2708C2×C4711yescharacteristic, complemented
831#2697C2×C4711yescharacteristic, complemented
832#2693C2×C4711yescharacteristic, complemented
833#2693C2×C4711yescharacteristic, complemented
834#2688C2×C4711yescharacteristic, complemented
835#2688C2×C4711yescharacteristic, complemented
836#2682C2×C4711yescharacteristic, complemented
837#2678C2×C4711yescharacteristic, complemented
838#2673C2×C4711yescharacteristic, complemented
839#2669C2×C4711yescharacteristic, complemented
840#2668C2×C4711yescharacteristic, complemented
841#2649C2×C4711yescharacteristic, complemented
842#2648C2×C4711yescharacteristic, complemented
843#2530C2×C4711yescharacteristic, complemented
844#2526C2×C4711yescharacteristic, complemented
845#2464C2×C4711yescharacteristic, complemented
846#2457C2×C4711yescharacteristic, complemented
847#2456C2×C4711yescharacteristic, complemented
848#2456C2×C4711yescharacteristic, complemented
849#2444C2×C4711yescharacteristic, complemented
850#2425C2×C4711yescharacteristic, complemented
851#2328C2×C4711yescharacteristic, complemented
852#2325C2×C4711yescharacteristic, complemented
853C4×#120C2×C4711yescharacteristic, complemented
854C2×C47—42no—
855C2×C47—42no—
856C2×C47—42no—
857C2×C47—42no—
858C2×C47—81no—
859C2×C47—81no—
860C2×C47—81no—
861C2×C47#345911yescharacteristic
862C2×C47#351311yescharacteristic
863C2×C47#351911yescharacteristic
864C2×C47#353211yescharacteristic
865C2×C47#353411yescharacteristic
866C2×C47#353911yescharacteristic
867C2×C47#354211yescharacteristic
868C24×C4C22×C4711yescharacteristic
869C2×#127C22×C4711yescharacteristic
870C2×#123C22×C4711yescharacteristic
871C2×#123C22×C4711yescharacteristic
872C2×#123C22×C4711yescharacteristic
873C2×#123C22×C4711yescharacteristic
874C2×#123C22×C4711yescharacteristic, complemented
875C2×#123C22×C4711yescharacteristic, complemented
876C2×#121C22×C4711yescharacteristic
877C2×#121C22×C4711yescharacteristic
878C2×#121C22×C4711yescharacteristic
879C2×#121C22×C4711yescharacteristic
880C2×#121C22×C4711yescharacteristic
881C2×#121C22×C4711yescharacteristic
882C2×#121C22×C4711yescharacteristic
883C2×#121C22×C4711yescharacteristic
884C2×#120C22×C4711yescharacteristic
885C2×#120C22×C4711yescharacteristic
886C2×#120C22×C4711yescharacteristic
887C2×#120C22×C4711yescharacteristic
888C2×C4×D4C22×C4711yescharacteristic
889C2×C4×D4C22×C4711yescharacteristic
890C2×C4×D4C22×C4711yescharacteristic
891C2×C4×D4C22×C4711yescharacteristic, complemented
892C2×C4×D4C22×C4711yescharacteristic, complemented
893#400C22×C4711yescharacteristic, complemented
894#400C22×C4711yescharacteristic, complemented
895#400C22×C4711yescharacteristic, complemented
896#400C22×C4711yescharacteristic, complemented
897#400C22×C4711yescharacteristic, complemented
898#400C22×C4711yescharacteristic, complemented
899#400C22×C4711yescharacteristic, complemented
900#400C22×C4711yescharacteristic, complemented
901#399C22×C4711yescharacteristic
902#398C22×C4711yescharacteristic, complemented
903#398C22×C4711yescharacteristic, complemented
904#397C22×C4711yescharacteristic
905#397C22×C4711yescharacteristic
906#397C22×C4711yescharacteristic
907#397C22×C4711yescharacteristic
908#397C22×C4711yescharacteristic
909#397C22×C4711yescharacteristic, complemented
910#397C22×C4711yescharacteristic, complemented
911#397C22×C4711yescharacteristic, complemented
912#397C22×C4711yescharacteristic, complemented
913#397C22×C4711yescharacteristic, complemented
914#396C22×C4711yescharacteristic
915#396C22×C4711yescharacteristic
916#396C22×C4711yescharacteristic
917#396C22×C4711yescharacteristic, complemented
918#396C22×C4711yescharacteristic, complemented
919#396C22×C4711yescharacteristic, complemented
920#396C22×C4711yescharacteristic, complemented
921#394C22×C4711yescharacteristic
922#394C22×C4711yescharacteristic
923#394C22×C4711yescharacteristic
924#394C22×C4711yescharacteristic
925#394C22×C4711yescharacteristic
926#394C22×C4711yescharacteristic
927#394C22×C4711yescharacteristic
928#394C22×C4711yescharacteristic
929#394C22×C4711yescharacteristic, complemented
930#394C22×C4711yescharacteristic, complemented
931#392C22×C4711yescharacteristic
932#392C22×C4711yescharacteristic
933#392C22×C4711yescharacteristic
934#392C22×C4711yescharacteristic
935#392C22×C4711yescharacteristic
936#392C22×C4711yescharacteristic
937#392C22×C4711yescharacteristic
938#392C22×C4711yescharacteristic, complemented
939#392C22×C4711yescharacteristic, complemented
940#392C22×C4711yescharacteristic, complemented
941#390C22×C4711yescharacteristic
942#390C22×C4711yescharacteristic
943#390C22×C4711yescharacteristic
944#390C22×C4711yescharacteristic, complemented
945#390C22×C4711yescharacteristic, complemented
946#389C22×C4711yescharacteristic, complemented
947#389C22×C4711yescharacteristic, complemented
948#388C22×C4711yescharacteristic
949#388C22×C4711yescharacteristic
950#388C22×C4711yescharacteristic
951#388C22×C4711yescharacteristic
952#388C22×C4711yescharacteristic
953#388C22×C4711yescharacteristic, complemented
954#388C22×C4711yescharacteristic, complemented
955#388C22×C4711yescharacteristic, complemented
956#388C22×C4711yescharacteristic, complemented
957#388C22×C4711yescharacteristic, complemented
958#388C22×C4711yescharacteristic, complemented
959#388C22×C4711yescharacteristic, complemented
960#387C22×C4711yescharacteristic, complemented
961#387C22×C4711yescharacteristic, complemented
962#387C22×C4711yescharacteristic, complemented
963#387C22×C4711yescharacteristic, complemented
964#387C22×C4711yescharacteristic, complemented
965#387C22×C4711yescharacteristic, complemented
966#387C22×C4711yescharacteristic, complemented
967#386C22×C4711yescharacteristic
968#386C22×C4711yescharacteristic
969#386C22×C4711yescharacteristic
970#386C22×C4711yescharacteristic
971#386C22×C4711yescharacteristic
972#386C22×C4711yescharacteristic
973#386C22×C4711yescharacteristic
974#386C22×C4711yescharacteristic
975#386C22×C4711yescharacteristic
976#386C22×C4711yescharacteristic
977#386C22×C4711yescharacteristic
978#386C22×C4711yescharacteristic
979#386C22×C4711yescharacteristic
980#386C22×C4711yescharacteristic
981#386C22×C4711yescharacteristic
982#386C22×C4711yescharacteristic
983#386C22×C4711yescharacteristic
984#386C22×C4711yescharacteristic
985#386C22×C4711yescharacteristic
986#386C22×C4711yescharacteristic
987#386C22×C4711yescharacteristic
988#386C22×C4711yescharacteristic, complemented
989#386C22×C4711yescharacteristic, complemented
990#386C22×C4711yescharacteristic, complemented
991#386C22×C4711yescharacteristic, complemented
992#386C22×C4711yescharacteristic, complemented
993#386C22×C4711yescharacteristic, complemented
994#386C22×C4711yescharacteristic, complemented
995#385C22×C4711yescharacteristic
996#385C22×C4711yescharacteristic
997#385C22×C4711yescharacteristic
998#385C22×C4711yescharacteristic
999#385C22×C4711yescharacteristic
1000#385C22×C4711yescharacteristic
1001#385C22×C4711yescharacteristic
1002#385C22×C4711yescharacteristic, complemented
1003#385C22×C4711yescharacteristic, complemented
1004#385C22×C4711yescharacteristic, complemented
1005#385C22×C4711yescharacteristic, complemented
1006#385C22×C4711yescharacteristic, complemented
1007#382C22×C4711yescharacteristic, complemented
1008#381C22×C4711yescharacteristic
1009#381C22×C4711yescharacteristic
1010#381C22×C4711yescharacteristic, complemented
1011#380C22×C4711yescharacteristic
1012#380C22×C4711yescharacteristic
1013#380C22×C4711yescharacteristic
1014#380C22×C4711yescharacteristic, complemented
1015#380C22×C4711yescharacteristic, complemented
1016#379C22×C4711yescharacteristic
1017#379C22×C4711yescharacteristic
1018C4×C22⋊C4C22×C4711yescharacteristic
1019C4×C22⋊C4C22×C4711yescharacteristic
1020C4×C22⋊C4C22×C4711yescharacteristic
1021#376C22×C4711yescharacteristic, complemented
1022C2×#95C22×C4711yescharacteristic, complemented
1023C47#3685611yescharacteristic, direct product factor, Sylow
1024C25C23×C4711yescharacteristic
1025C22×D4C23×C4711yescharacteristic
1026C22×D4C23×C4711yescharacteristic
1027C22×D4C23×C4711yescharacteristic
1028C22×D4C23×C4711yescharacteristic
1029C22×D4C23×C4711yescharacteristic
1030C22×D4C23×C4711yescharacteristic
1031C22×D4C23×C4711yescharacteristic
1032C22×D4C23×C4711yescharacteristic
1033C22×D4C23×C4711yescharacteristic
1034C22×D4C23×C4711yescharacteristic
1035C22×D4C23×C4711yescharacteristic
1036C22×D4C23×C4711yescharacteristic
1037C22×D4C23×C4711yescharacteristic
1038C22×D4C23×C4711yescharacteristic
1039C22×D4C23×C4711yescharacteristic
1040C22×D4C23×C4711yescharacteristic
1041C22×D4C23×C4711yescharacteristic
1042C22×D4C23×C4711yescharacteristic
1043C23×C4—42no—
1044C23×C4—42no—
1045C23×C4—42no—
1046C23×C4C23×C4711yescharacteristic
1047C23×C4C23×C4711yescharacteristic
1048C23×C4C23×C4711yescharacteristic
1049C23×C4C23×C4711yescharacteristic
1050C23×C4C23×C4711yescharacteristic
1051C23×C4C23×C4711yescharacteristic
1052C23×C4C23×C4711yescharacteristic
1053C23×C4C23×C4711yescharacteristic
1054C23×C4C23×C4711yescharacteristic
1055C23×C4C23×C4711yescharacteristic
1056C23×C4C23×C4711yescharacteristic
1057C23×C4C23×C4711yescharacteristic
1058#127—24no—
1059#123—42no—
1060#123—42no—
1061#123—42no—
1062#123—42no—
1063#123—42no—
1064#123—42no—
1065#121—24no—
1066#121—42no—
1067#121—42no—
1068#121—42no—
1069#121—42no—
1070#121—42no—
1071#121—42no—
1072#121—42no—
1073#120—24no—
1074#120—42no—
1075#120—42no—
1076#120—42no—
1077C4×D4—42no—
1078C4×D4—42no—
1079C4×D4—42no—
1080C4×D4—42no—
1081C4×D4—42no—
1082C2×C4⋊C4C23×C4711yescharacteristic
1083C2×C4⋊C4C23×C4711yescharacteristic
1084C2×C4⋊C4C23×C4711yescharacteristic
1085C2×C4⋊C4C23×C4711yescharacteristic
1086C2×C4⋊C4C23×C4711yescharacteristic
1087C2×C4⋊C4C23×C4711yescharacteristic
1088C2×C4⋊C4C23×C4711yescharacteristic
1089C2×C4⋊C4C23×C4711yescharacteristic
1090C2×C4⋊C4C23×C4711yescharacteristic
1091C2×C4⋊C4C23×C4711yescharacteristic
1092C2×C4⋊C4C23×C4711yescharacteristic
1093C2×C4⋊C4C23×C4711yescharacteristic
1094C2×C4⋊C4C23×C4711yescharacteristic
1095C2×C4⋊C4C23×C4711yescharacteristic
1096C2×C4⋊C4C23×C4711yescharacteristic
1097C2×C4⋊C4C23×C4711yescharacteristic
1098C2×C4⋊C4C23×C4711yescharacteristic
1099C2×C4⋊C4C23×C4711yescharacteristic
1100C2×C4⋊C4C23×C4711yescharacteristic
1101C2×C4⋊C4C23×C4711yescharacteristic
1102C2×C4⋊C4C23×C4711yescharacteristic
1103C2×C4⋊C4C23×C4711yescharacteristic
1104C2×C4⋊C4C23×C4711yescharacteristic
1105C2×C4⋊C4C23×C4711yescharacteristic
1106C2×C22⋊C4C23×C4711yescharacteristic
1107C2×C22⋊C4C23×C4711yescharacteristic
1108C2×C22⋊C4C23×C4711yescharacteristic
1109C2×C22⋊C4C23×C4711yescharacteristic
1110C2×C22⋊C4C23×C4711yescharacteristic
1111C2×C22⋊C4C23×C4711yescharacteristic
1112C2×C22⋊C4C23×C4711yescharacteristic
1113C2×C22⋊C4C23×C4711yescharacteristic
1114C2×C22⋊C4C23×C4711yescharacteristic
1115C2×C22⋊C4C23×C4711yescharacteristic
1116C2×C22⋊C4C23×C4711yescharacteristic
1117C2×C22⋊C4C23×C4711yescharacteristic
1118C2×C22⋊C4C23×C4711yescharacteristic
1119C2×C22⋊C4C23×C4711yescharacteristic
1120C2×C22⋊C4C23×C4711yescharacteristic
1121C2×C22⋊C4C23×C4711yescharacteristic
1122C2×C22⋊C4C23×C4711yescharacteristic
1123C2×C22⋊C4C23×C4711yescharacteristic
1124C2×C22⋊C4C23×C4711yescharacteristic
1125C2×C22⋊C4C23×C4711yescharacteristic
1126C2×C22⋊C4C23×C4711yescharacteristic
1127C2×C22⋊C4C23×C4711yescharacteristic
1128C2×C22⋊C4C23×C4711yescharacteristic
1129C2×C22⋊C4C23×C4711yescharacteristic
1130C2×C22⋊C4C23×C4711yescharacteristic
1131C2×C22⋊C4C23×C4711yescharacteristic
1132C2×C22⋊C4C23×C4711yescharacteristic
1133C2×C22⋊C4C23×C4711yescharacteristic
1134C2×C22⋊C4C23×C4711yescharacteristic
1135C2×C22⋊C4C23×C4711yescharacteristic
1136C2×C22⋊C4C23×C4711yescharacteristic
1137C2×C22⋊C4C23×C4711yescharacteristic
1138C2×C22⋊C4C23×C4711yescharacteristic
1139C2×C22⋊C4C23×C4711yescharacteristic
1140C2×C22⋊C4C23×C4711yescharacteristic
1141C2×C22⋊C4C23×C4711yescharacteristic
1142C2×C22⋊C4C23×C4711yescharacteristic
1143C2×C22⋊C4C23×C4711yescharacteristic
1144C2×C22⋊C4C23×C4711yescharacteristic
1145C2×C22⋊C4C23×C4711yescharacteristic
1146C2×C22⋊C4C23×C4711yescharacteristic
1147C2×C22⋊C4C23×C4711yescharacteristic
1148C2×C22⋊C4C23×C4711yescharacteristic
1149C2×C22⋊C4C23×C4711yescharacteristic
1150C2×C22⋊C4C23×C4711yescharacteristic
1151C2×C22⋊C4C23×C4711yescharacteristic
1152C2×C22⋊C4C23×C4711yescharacteristic
1153C2×C22⋊C4C23×C4711yescharacteristic
1154C2×C22⋊C4C23×C4711yescharacteristic
1155C2×C22⋊C4C23×C4711yescharacteristic
1156C2×C22⋊C4C23×C4711yescharacteristic
1157C2×C22⋊C4C23×C4711yescharacteristic
1158C2×C22⋊C4C23×C4711yescharacteristic
1159C2×C22⋊C4C23×C4711yescharacteristic
1160C2×C42C23×C4711yescharacteristic
1161C2×C42C23×C4711yescharacteristic
1162C2×C42C23×C4711yescharacteristic
1163C2×C42C23×C4711yescharacteristic
1164C2×C42C23×C4711yescharacteristic
1165C2×C42C23×C4711yescharacteristic
1166#95C23×C4711yescharacteristic
1167#95C23×C4711yescharacteristic
1168#95C23×C4711yescharacteristic
1169#95C23×C4711yescharacteristic
1170#95C23×C4711yescharacteristic
1171#95C23×C4711yescharacteristic
1172#95C23×C4711yescharacteristic
1173#95C23×C4711yescharacteristic
1174#95C23×C4711yescharacteristic
1175#95C23×C4711yescharacteristic
1176#95C23×C4711yescharacteristic
1177#95C23×C4711yescharacteristic
1178#95C23×C4711yescharacteristic
1179#95C23×C4711yescharacteristic
1180#95C23×C4711yescharacteristic
1181#95C23×C4711yescharacteristic
1182#95C23×C4711yescharacteristic
1183#95C23×C4711yescharacteristic
1184#95C23×C4711yescharacteristic
1185#95C23×C4711yescharacteristic
1186#95C23×C4711yescharacteristic
1187#95C23×C4711yescharacteristic
1188#95C23×C4711yescharacteristic
1189#95C23×C4711yescharacteristic
1190#95C23×C4711yescharacteristic
1191#95C23×C4711yescharacteristic
1192#95C23×C4711yescharacteristic
1193#95C23×C4711yescharacteristic
1194#95C23×C4711yescharacteristic
1195#95C23×C4711yescharacteristic
1196#95C23×C4711yescharacteristic
1197#95C23×C4711yescharacteristic
1198#95C23×C4711yescharacteristic
1199#95C23×C4711yescharacteristic
1200#95C23×C4711yescharacteristic
1201#95C23×C4711yescharacteristic
1202#95C23×C4711yescharacteristic
1203#95C23×C4711yescharacteristic
1204#95C23×C4711yescharacteristic
1205#95C23×C4711yescharacteristic
1206C24—22no—
1207C24—22no—
1208C24—22no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—41no—
1213C24C24×C4711yescharacteristic
1214C24C24×C4711yescharacteristic
1215C24C24×C4711yescharacteristic
1216C24C24×C4711yescharacteristic
1217C24C24×C4711yescharacteristic
1218C24C24×C4711yescharacteristic
1219C24C24×C4711yescharacteristic
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4#41×C4714yes—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
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—416no—
1311C22×C4C24×C4711yescharacteristic
1312C22×C4C24×C4711yescharacteristic
1313C22×C4C24×C4711yescharacteristic
1314C22×C4C24×C4711yescharacteristic
1315C22×C4C24×C4711yescharacteristic
1316C22×C4C24×C4711yescharacteristic
1317C22×C4C24×C4711yescharacteristic
1318C22×C4C24×C4711yescharacteristic
1319C22×C4C24×C4711yescharacteristic
1320C22×C4C24×C4711yescharacteristic
1321C22×C4C24×C4711yescharacteristic
1322C22×C4C24×C4711yescharacteristic
1323C22×C4C24×C4711yescharacteristic
1324C22×C4C24×C4711yescharacteristic
1325C22×C4C24×C4711yescharacteristic
1326C22×C4C24×C4711yescharacteristic
1327C22×C4C24×C4711yescharacteristic
1328C22×C4C24×C4711yescharacteristic
1329C22×C4C24×C4711yescharacteristic
1330C22×C4C24×C4711yescharacteristic
1331C22×C4C24×C4711yescharacteristic
1332C22×C4C24×C4711yescharacteristic
1333C22×C4C24×C4711yescharacteristic
1334C22×C4C24×C4711yescharacteristic
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C42—22no—
1414C42—22no—
1415C42—41no—
1416C42—41no—
1417C42—41no—
1418C42—41no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23C2×#41×C4712yes—
1472C23C2×#41×C4712yes—
1473C23H(5,𝔽2)×C4712yes—
1474C23H(5,𝔽2)×C4712yes—
1475C23C25×C4711yescharacteristic
1476D4—44no—
1477D4—44no—
1478D4—44no—
1479D4—44no—
1480D4—44no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—82no—
1489D4—82no—
1490D4—82no—
1491D4—82no—
1492D4—82no—
1493D4—82no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—82no—
1570C2×C4—82no—
1571C2×C4—82no—
1572C2×C4—82no—
1573C2×C4—82no—
1574C2×C4—82no—
1575C2×C4C2×#41×C4712yes—
1576C2×C4H(5,𝔽2)×C4712yes—
1577C2×C4H(5,𝔽2)×C4712yes—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—416no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22C22×#41×C4711yescharacteristic
1629C22C2×H(5,𝔽2)×C4711yescharacteristic
1630C22C2×H(5,𝔽2)×C4711yescharacteristic
1631C22C2×H(5,𝔽2)×C4711yescharacteristic
1632C22C2×H(5,𝔽2)×C4711yescharacteristic
1633C22C47×#58511yescharacteristic
1634C22C47×#58511yescharacteristic
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C2—42no—
1660C2—42no—
1661C2—42no—
1662C2—42no—
1663C2—81no—
1664C2—81no—
1665C2—81no—
1666C2C47×#345911yescharacteristic
1667C2C47×#351311yescharacteristic
1668C2C47×#351911yescharacteristic
1669C2C47×#353211yescharacteristic
1670C2C47×#353411yescharacteristic
1671C2C47×#353911yescharacteristic
1672C2C47×#354211yescharacteristic
subgroupG/H
center, socleC23×C47C25
commutator, Frattini, cosocleC23C25×C47
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#2849C2semidirect
2. C47×#2847C2semidirect
3. C47×#2797C2semidirect
4. C47×#2782C2semidirect
5. C47×#2780C2semidirect
6. C47×#2750C2semidirect
7. C47×#2744C2semidirect
8. C47×#2708C2semidirect
9. C47×#2697C2semidirect
10. C47×#2693C2semidirect
11. C47×#2693C2semidirect
12. C47×#2688C2semidirect
13. C47×#2688C2semidirect
14. C47×#2682C2semidirect
15. C47×#2678C2semidirect
16. C47×#2673C2semidirect
17. C47×#2669C2semidirect
18. C47×#2668C2semidirect
19. C47×#2649C2semidirect
20. C47×#2648C2semidirect
21. C47×#2530C2semidirect
22. C47×#2526C2semidirect
23. C47×#2464C2semidirect
24. C47×#2457C2semidirect
25. C47×#2456C2semidirect
26. C47×#2456C2semidirect
27. C47×#2444C2semidirect
28. C47×#2425C2semidirect
29. C47×#2328C2semidirect
30. C47×#2325C2semidirect
31. C4×#120×C47C2semidirect
38. C2×#123×C47C22semidirect
39. C2×#123×C47C22semidirect
55. C2×C4×D4×C47C22semidirect
56. C2×C4×D4×C47C22semidirect
57. C47×#400C22semidirect
58. C47×#400C22semidirect
59. C47×#400C22semidirect
60. C47×#400C22semidirect
61. C47×#400C22semidirect
62. C47×#400C22semidirect
63. C47×#400C22semidirect
64. C47×#400C22semidirect
66. C47×#398C22semidirect
67. C47×#398C22semidirect
73. C47×#397C22semidirect
74. C47×#397C22semidirect
75. C47×#397C22semidirect
76. C47×#397C22semidirect
77. C47×#397C22semidirect
81. C47×#396C22semidirect
82. C47×#396C22semidirect
83. C47×#396C22semidirect
84. C47×#396C22semidirect
93. C47×#394C22semidirect
94. C47×#394C22semidirect
102. C47×#392C22semidirect
103. C47×#392C22semidirect
104. C47×#392C22semidirect
108. C47×#390C22semidirect
109. C47×#390C22semidirect
110. C47×#389C22semidirect
111. C47×#389C22semidirect
117. C47×#388C22semidirect
118. C47×#388C22semidirect
119. C47×#388C22semidirect
120. C47×#388C22semidirect
121. C47×#388C22semidirect
122. C47×#388C22semidirect
123. C47×#388C22semidirect
124. C47×#387C22semidirect
125. C47×#387C22semidirect
126. C47×#387C22semidirect
127. C47×#387C22semidirect
128. C47×#387C22semidirect
129. C47×#387C22semidirect
130. C47×#387C22semidirect
152. C47×#386C22semidirect
153. C47×#386C22semidirect
154. C47×#386C22semidirect
155. C47×#386C22semidirect
156. C47×#386C22semidirect
157. C47×#386C22semidirect
158. C47×#386C22semidirect
166. C47×#385C22semidirect
167. C47×#385C22semidirect
168. C47×#385C22semidirect
169. C47×#385C22semidirect
170. C47×#385C22semidirect
171. C47×#382C22semidirect
174. C47×#381C22semidirect
178. C47×#380C22semidirect
179. C47×#380C22semidirect
185. C47×#376C22semidirect
186. C2×#95×C47C22semidirect
741. #36856C47direct (N × H)
823. #2849C2×C47semidirect
824. #2847C2×C47semidirect
825. #2797C2×C47semidirect
826. #2782C2×C47semidirect
827. #2780C2×C47semidirect
828. #2750C2×C47semidirect
829. #2744C2×C47semidirect
830. #2708C2×C47semidirect
831. #2697C2×C47semidirect
832. #2693C2×C47semidirect
833. #2693C2×C47semidirect
834. #2688C2×C47semidirect
835. #2688C2×C47semidirect
836. #2682C2×C47semidirect
837. #2678C2×C47semidirect
838. #2673C2×C47semidirect
839. #2669C2×C47semidirect
840. #2668C2×C47semidirect
841. #2649C2×C47semidirect
842. #2648C2×C47semidirect
843. #2530C2×C47semidirect
844. #2526C2×C47semidirect
845. #2464C2×C47semidirect
846. #2457C2×C47semidirect
847. #2456C2×C47semidirect
848. #2456C2×C47semidirect
849. #2444C2×C47semidirect
850. #2425C2×C47semidirect
851. #2328C2×C47semidirect
852. #2325C2×C47semidirect
853. C4×#120C2×C47semidirect
874. C2×#123C22×C47semidirect
875. C2×#123C22×C47semidirect
891. C2×C4×D4C22×C47semidirect
892. C2×C4×D4C22×C47semidirect
893. #400C22×C47semidirect
894. #400C22×C47semidirect
895. #400C22×C47semidirect
896. #400C22×C47semidirect
897. #400C22×C47semidirect
898. #400C22×C47semidirect
899. #400C22×C47semidirect
900. #400C22×C47semidirect
902. #398C22×C47semidirect
903. #398C22×C47semidirect
909. #397C22×C47semidirect
910. #397C22×C47semidirect
911. #397C22×C47semidirect
912. #397C22×C47semidirect
913. #397C22×C47semidirect
917. #396C22×C47semidirect
918. #396C22×C47semidirect
919. #396C22×C47semidirect
920. #396C22×C47semidirect
929. #394C22×C47semidirect
930. #394C22×C47semidirect
938. #392C22×C47semidirect
939. #392C22×C47semidirect
940. #392C22×C47semidirect
944. #390C22×C47semidirect
945. #390C22×C47semidirect
946. #389C22×C47semidirect
947. #389C22×C47semidirect
953. #388C22×C47semidirect
954. #388C22×C47semidirect
955. #388C22×C47semidirect
956. #388C22×C47semidirect
957. #388C22×C47semidirect
958. #388C22×C47semidirect
959. #388C22×C47semidirect
960. #387C22×C47semidirect
961. #387C22×C47semidirect
962. #387C22×C47semidirect
963. #387C22×C47semidirect
964. #387C22×C47semidirect
965. #387C22×C47semidirect
966. #387C22×C47semidirect
988. #386C22×C47semidirect
989. #386C22×C47semidirect
990. #386C22×C47semidirect
991. #386C22×C47semidirect
992. #386C22×C47semidirect
993. #386C22×C47semidirect
994. #386C22×C47semidirect
1002. #385C22×C47semidirect
1003. #385C22×C47semidirect
1004. #385C22×C47semidirect
1005. #385C22×C47semidirect
1006. #385C22×C47semidirect
1007. #382C22×C47semidirect
1010. #381C22×C47semidirect
1014. #380C22×C47semidirect
1015. #380C22×C47semidirect
1021. #376C22×C47semidirect
1022. C2×#95C22×C47semidirect
1023. C47#36856direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#28492
C47×#28472
C47×#27972
C47×#27822
C47×#27802
C47×#27502
C47×#27442
C47×#27082
C47×#26972
C47×#26932
C47×#26882
C47×#26822
C47×#26782
C47×#26732
C47×#26692
C47×#26682
C47×#26492
C47×#26482
C47×#25302
C47×#25262
C47×#24642
C47×#24572
C47×#24562
C47×#24442
C47×#24252
C47×#23282
C47×#23252
C4×#120×C472
#3685647