Finite Group Databasebeta

← C47×#36904 #26076602

Subgroups — C47×#36904 #26076602

Order 12032.

2042 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#2848C211yesmaximal, characteristic, complemented
2C47×#2847C211yesmaximal, characteristic, complemented
3C47×#2780C211yesmaximal, characteristic, complemented
4C47×#2770C211yesmaximal, characteristic, complemented
5C47×#2756C211yesmaximal, characteristic, complemented
6C47×#2741C211yesmaximal, characteristic, complemented
7C47×#2730C211yesmaximal, characteristic, complemented
8C47×#2715C211yesmaximal, characteristic, complemented
9C47×#2711C211yesmaximal, characteristic, complemented
10C47×#2704C211yesmaximal, characteristic, complemented
11C47×#2697C211yesmaximal, characteristic, complemented
12C47×#2692C211yesmaximal, characteristic, complemented
13C47×#2685C211yesmaximal, characteristic, complemented
14C47×#2678C211yesmaximal, characteristic, complemented
15C47×#2676C211yesmaximal, characteristic, complemented
16C47×#2672C211yesmaximal, characteristic, complemented
17C47×#2671C211yesmaximal, characteristic, complemented
18C47×#2670C211yesmaximal, characteristic, complemented
19C47×#2636C211yesmaximal, characteristic, complemented
20C47×#2630C211yesmaximal, characteristic, complemented
21C47×#2574C211yesmaximal, characteristic, complemented
22C47×#2560C211yesmaximal, characteristic, complemented
23C47×#2559C211yesmaximal, characteristic, complemented
24C47×#2553C211yesmaximal, characteristic, complemented
25C47×#2464C211yesmaximal, characteristic, complemented
26C47×#2461C211yesmaximal, characteristic, complemented
27C47×#2454C211yesmaximal, characteristic, complemented
28C47×#2427C211yesmaximal, characteristic, complemented
29C47×#2337C211yesmaximal, characteristic, complemented
30C47×#2335C211yesmaximal, characteristic, complemented
31C4×#120×C47C211yesmaximal, characteristic, complemented
32C24×C4×C47C2211yescharacteristic
33C2×#126×C47C2211yescharacteristic
34C2×#126×C47C2211yescharacteristic, complemented
35C2×#125×C47C2211yescharacteristic, complemented
36C2×#124×C47C2211yescharacteristic
37C2×#124×C47C2211yescharacteristic
38C2×#124×C47C2211yescharacteristic, complemented
39C2×#123×C47C2211yescharacteristic
40C2×#123×C47C2211yescharacteristic
41C2×#123×C47C2211yescharacteristic, complemented
42C2×C22⋊Q8×C47C2211yescharacteristic
43C2×C22⋊Q8×C47C2211yescharacteristic
44C2×C22⋊Q8×C47C2211yescharacteristic
45C2×C22⋊Q8×C47C2211yescharacteristic, complemented
46C2×#121×C47C2211yescharacteristic
47C2×#121×C47C2211yescharacteristic
48C2×#121×C47C2211yescharacteristic
49C2×#121×C47C2211yescharacteristic
50C2×#121×C47C2211yescharacteristic, complemented
51C2×#120×C47C2211yescharacteristic
52C2×#120×C47C2211yescharacteristic
53C2×#120×C47C2211yescharacteristic
54C2×C4×D4×C47C2211yescharacteristic
55C2×C4×D4×C47C2211yescharacteristic
56C2×C4×D4×C47C2211yescharacteristic
57C47×#400C2211yescharacteristic, complemented
58C47×#400C2211yescharacteristic, complemented
59C47×#399C2211yescharacteristic
60C47×#399C2211yescharacteristic, complemented
61C47×#399C2211yescharacteristic, complemented
62C47×#399C2211yescharacteristic, complemented
63C47×#398C2211yescharacteristic, complemented
64C47×#398C2211yescharacteristic, complemented
65C47×#398C2211yescharacteristic, complemented
66C47×#398C2211yescharacteristic, complemented
67C47×#398C2211yescharacteristic, complemented
68C47×#397C2211yescharacteristic
69C47×#397C2211yescharacteristic
70C47×#397C2211yescharacteristic
71C47×#397C2211yescharacteristic, complemented
72C47×#397C2211yescharacteristic, complemented
73C47×#396C2211yescharacteristic
74C47×#396C2211yescharacteristic
75C47×#396C2211yescharacteristic
76C47×#396C2211yescharacteristic
77C47×#396C2211yescharacteristic, complemented
78C47×#396C2211yescharacteristic, complemented
79C47×#396C2211yescharacteristic, complemented
80C47×#396C2211yescharacteristic, complemented
81C47×#395C2211yescharacteristic, complemented
82C47×#395C2211yescharacteristic, complemented
83C47×#394C2211yescharacteristic
84C47×#394C2211yescharacteristic
85C47×#394C2211yescharacteristic
86C47×#394C2211yescharacteristic
87C47×#394C2211yescharacteristic
88C47×#394C2211yescharacteristic
89C47×#394C2211yescharacteristic
90C47×#394C2211yescharacteristic
91C47×#394C2211yescharacteristic
92C47×#394C2211yescharacteristic
93C47×#394C2211yescharacteristic, complemented
94C47×#394C2211yescharacteristic, complemented
95C47×#394C2211yescharacteristic, complemented
96C47×#394C2211yescharacteristic, complemented
97C47×#394C2211yescharacteristic, complemented
98C47×#393C2211yescharacteristic
99C47×#393C2211yescharacteristic, complemented
100C47×#392C2211yescharacteristic
101C47×#392C2211yescharacteristic
102C47×#392C2211yescharacteristic
103C47×#392C2211yescharacteristic
104C47×#392C2211yescharacteristic
105C47×#391C2211yescharacteristic, complemented
106C47×#391C2211yescharacteristic, complemented
107C47×#391C2211yescharacteristic, complemented
108C47×#390C2211yescharacteristic
109C47×#390C2211yescharacteristic
110C47×#390C2211yescharacteristic
111C47×#390C2211yescharacteristic
112C47×#390C2211yescharacteristic
113C47×#390C2211yescharacteristic
114C47×#390C2211yescharacteristic
115C47×#389C2211yescharacteristic, complemented
116C47×#389C2211yescharacteristic, complemented
117C47×#389C2211yescharacteristic, complemented
118C47×#389C2211yescharacteristic, complemented
119C47×#388C2211yescharacteristic
120C47×#388C2211yescharacteristic
121C47×#388C2211yescharacteristic
122C47×#388C2211yescharacteristic
123C47×#388C2211yescharacteristic
124C47×#388C2211yescharacteristic
125C47×#388C2211yescharacteristic
126C47×#388C2211yescharacteristic
127C47×#388C2211yescharacteristic, complemented
128C47×#388C2211yescharacteristic, complemented
129C47×#388C2211yescharacteristic, complemented
130C47×#388C2211yescharacteristic, complemented
131C47×#388C2211yescharacteristic, complemented
132C47×#388C2211yescharacteristic, complemented
133C47×#388C2211yescharacteristic, complemented
134C47×#388C2211yescharacteristic, complemented
135C47×#387C2211yescharacteristic, complemented
136C47×#387C2211yescharacteristic, complemented
137C47×#387C2211yescharacteristic, complemented
138C47×#387C2211yescharacteristic, complemented
139C47×#387C2211yescharacteristic, complemented
140C47×#387C2211yescharacteristic, complemented
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, complemented
154C47×#386C2211yescharacteristic, complemented
155C47×#385C2211yescharacteristic
156C47×#385C2211yescharacteristic
157C47×#385C2211yescharacteristic
158C47×#385C2211yescharacteristic
159C47×#385C2211yescharacteristic
160C47×#385C2211yescharacteristic
161C47×#385C2211yescharacteristic
162C47×#385C2211yescharacteristic
163C47×#385C2211yescharacteristic
164C47×#385C2211yescharacteristic, complemented
165C47×#385C2211yescharacteristic, complemented
166C47×#385C2211yescharacteristic, complemented
167C47×#383C2211yescharacteristic, complemented
168C47×#382C2211yescharacteristic, complemented
169C47×#380C2211yescharacteristic
170C47×#380C2211yescharacteristic
171C47×#380C2211yescharacteristic
172C47×#380C2211yescharacteristic
173C47×#380C2211yescharacteristic
174C47×#380C2211yescharacteristic
175C47×#380C2211yescharacteristic, complemented
176C47×#380C2211yescharacteristic, complemented
177C47×#379C2211yescharacteristic
178C47×#379C2211yescharacteristic
179C47×#379C2211yescharacteristic
180C4×C4⋊C4×C47C2211yescharacteristic, complemented
181C4×C4⋊C4×C47C2211yescharacteristic, complemented
182C4×C22⋊C4×C47C2211yescharacteristic
183C4×C22⋊C4×C47C2211yescharacteristic
184C4×C22⋊C4×C47C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic, complemented
186C4×C22⋊C4×C47C2211yescharacteristic, complemented
187C25×C47C2311yescharacteristic
188C22×Q8×C47C2311yescharacteristic
189C22×Q8×C47C2311yescharacteristic
190C22×D4×C47C2311yescharacteristic
191C22×D4×C47C2311yescharacteristic
192C22×D4×C47C2311yescharacteristic
193C22×D4×C47C2311yescharacteristic
194C22×D4×C47C2311yescharacteristic
195C22×D4×C47C2311yescharacteristic
196C22×D4×C47C2311yescharacteristic
197C22×D4×C47C2311yescharacteristic
198C22×D4×C47C2311yescharacteristic
199C22×D4×C47C2311yescharacteristic
200C22×D4×C47C2311yescharacteristic
201C22×D4×C47C2311yescharacteristic
202C23×C4×C47—42no—
203C23×C4×C47—42no—
204C23×C4×C47—42no—
205C23×C4×C47C2311yescharacteristic
206C23×C4×C47C2311yescharacteristic
207C23×C4×C47C2311yescharacteristic
208C23×C4×C47C2311yescharacteristic
209C23×C4×C47C2311yescharacteristic
210C23×C4×C47C2311yescharacteristic
211C23×C4×C47C2311yescharacteristic
212C23×C4×C47C2311yescharacteristic
213C23×C4×C47C2311yescharacteristic
214#126×C47—42no—
215#126×C47—42no—
216#125×C47—42no—
217#124×C47—24no—
218#124×C47—42no—
219#124×C47—42no—
220#123×C47—24no—
221#123×C47—42no—
222#123×C47—42no—
223C22⋊Q8×C47—42no—
224C22⋊Q8×C47—42no—
225C22⋊Q8×C47—42no—
226C22⋊Q8×C47—42no—
227#121×C47—42no—
228#121×C47—42no—
229#121×C47—42no—
230#121×C47—42no—
231#121×C47—42no—
232#120×C47—24no—
233#120×C47—42no—
234#120×C47—42no—
235C4×D4×C47—42no—
236C4×D4×C47—42no—
237C4×D4×C47—42no—
238C2×C4⋊C4×C47C2311yescharacteristic
239C2×C4⋊C4×C47C2311yescharacteristic
240C2×C4⋊C4×C47C2311yescharacteristic
241C2×C4⋊C4×C47C2311yescharacteristic
242C2×C4⋊C4×C47C2311yescharacteristic
243C2×C4⋊C4×C47C2311yescharacteristic
244C2×C4⋊C4×C47C2311yescharacteristic
245C2×C4⋊C4×C47C2311yescharacteristic
246C2×C4⋊C4×C47C2311yescharacteristic
247C2×C4⋊C4×C47C2311yescharacteristic
248C2×C4⋊C4×C47C2311yescharacteristic
249C2×C4⋊C4×C47C2311yescharacteristic
250C2×C4⋊C4×C47C2311yescharacteristic
251C2×C4⋊C4×C47C2311yescharacteristic
252C2×C4⋊C4×C47C2311yescharacteristic
253C2×C4⋊C4×C47C2311yescharacteristic
254C2×C4⋊C4×C47C2311yescharacteristic
255C2×C4⋊C4×C47C2311yescharacteristic
256C2×C4⋊C4×C47C2311yescharacteristic
257C2×C4⋊C4×C47C2311yescharacteristic
258C2×C4⋊C4×C47C2311yescharacteristic
259C2×C4⋊C4×C47C2311yescharacteristic
260C2×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×C4⋊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×C22⋊C4×C47C2311yescharacteristic
324C2×C42×C47C2311yescharacteristic
325C2×C42×C47C2311yescharacteristic
326C2×C42×C47C2311yescharacteristic
327C2×C42×C47C2311yescharacteristic
328C2×C42×C47C2311yescharacteristic
329C2×C42×C47C2311yescharacteristic
330C2×C42×C47C2311yescharacteristic
331C2×C42×C47C2311yescharacteristic
332C2×C42×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
382C2×Q8×C47—22no—
383C2×Q8×C47—22no—
384C2×Q8×C47—41no—
385C2×Q8×C47—41no—
386C2×Q8×C47—41no—
387C2×Q8×C47—41no—
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—41no—
401C2×D4×C47—41no—
402C2×D4×C47—41no—
403C2×D4×C47—41no—
404C2×D4×C47—41no—
405C2×D4×C47—41no—
406C2×D4×C47—41no—
407C2×D4×C47—41no—
408C2×D4×C47—41no—
409C2×D4×C47—41no—
410C2×D4×C47—41no—
411C2×D4×C47—41no—
412C2×D4×C47—41no—
413C2×D4×C47—41no—
414C2×D4×C47—41no—
415C2×D4×C47—41no—
416C2×D4×C47—41no—
417C2×D4×C47—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—
424C22×C4×C47—22no—
425C22×C4×C47—22no—
426C22×C4×C47—22no—
427C22×C4×C47—22no—
428C22×C4×C47—22no—
429C22×C4×C47—22no—
430C22×C4×C47—22no—
431C22×C4×C47—22no—
432C22×C4×C47—22no—
433C22×C4×C47—22no—
434C22×C4×C47—22no—
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×C47—41no—
448C22×C4×C47—41no—
449C22×C4×C47—41no—
450C22×C4×C47—41no—
451C22×C4×C47—416no—
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
472C22×C4×C47C2411yescharacteristic
473C22×C4×C47C2411yescharacteristic
474C22×C4×C47C2411yescharacteristic
475C22×C4×C47C2411yescharacteristic
476C22×C4×C47C2411yescharacteristic
477C4⋊C4×C47—22no—
478C4⋊C4×C47—22no—
479C4⋊C4×C47—22no—
480C4⋊C4×C47—22no—
481C4⋊C4×C47—22no—
482C4⋊C4×C47—22no—
483C4⋊C4×C47—22no—
484C4⋊C4×C47—22no—
485C4⋊C4×C47—22no—
486C4⋊C4×C47—22no—
487C4⋊C4×C47—41no—
488C4⋊C4×C47—41no—
489C4⋊C4×C47—41no—
490C4⋊C4×C47—41no—
491C4⋊C4×C47—41no—
492C4⋊C4×C47—41no—
493C4⋊C4×C47—41no—
494C4⋊C4×C47—41no—
495C4⋊C4×C47—41no—
496C4⋊C4×C47—41no—
497C4⋊C4×C47—41no—
498C4⋊C4×C47—41no—
499C4⋊C4×C47—41no—
500C4⋊C4×C47—41no—
501C4⋊C4×C47—41no—
502C4⋊C4×C47—41no—
503C4⋊C4×C47—41no—
504C4⋊C4×C47—41no—
505C4⋊C4×C47—41no—
506C4⋊C4×C47—41no—
507C4⋊C4×C47—41no—
508C4⋊C4×C47—41no—
509C22⋊C4×C47—22no—
510C22⋊C4×C47—22no—
511C22⋊C4×C47—22no—
512C22⋊C4×C47—22no—
513C22⋊C4×C47—22no—
514C22⋊C4×C47—22no—
515C22⋊C4×C47—22no—
516C22⋊C4×C47—22no—
517C22⋊C4×C47—22no—
518C22⋊C4×C47—22no—
519C22⋊C4×C47—22no—
520C22⋊C4×C47—22no—
521C22⋊C4×C47—22no—
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—41no—
529C22⋊C4×C47—41no—
530C22⋊C4×C47—41no—
531C22⋊C4×C47—41no—
532C22⋊C4×C47—41no—
533C22⋊C4×C47—41no—
534C22⋊C4×C47—41no—
535C22⋊C4×C47—41no—
536C22⋊C4×C47—41no—
537C22⋊C4×C47—41no—
538C22⋊C4×C47—41no—
539C22⋊C4×C47—41no—
540C22⋊C4×C47—41no—
541C22⋊C4×C47—41no—
542C22⋊C4×C47—41no—
543C22⋊C4×C47—41no—
544C22⋊C4×C47—41no—
545C22⋊C4×C47—41no—
546C22⋊C4×C47—41no—
547C22⋊C4×C47—41no—
548C22⋊C4×C47—41no—
549C22⋊C4×C47—41no—
550C22⋊C4×C47—41no—
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#4114yes—
563C42×C47—22no—
564C42×C47—22no—
565C42×C47—41no—
566C42×C47—41no—
567C42×C47—41no—
568C42×C47—41no—
569C42×C47—41no—
570C42×C47—41no—
571C42×C47—41no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—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—44no—
612C23×C47—44no—
613C23×C47—44no—
614C23×C47—44no—
615C23×C47—44no—
616C23×C47—44no—
617C23×C47—44no—
618C23×C47C2×#4112yes—
619C23×C47H(5,𝔽2)12yes—
620C23×C472−1+412yes—
621C23×C47C2511yescharacteristic
622Q8×C47—82no—
623Q8×C47—82no—
624D4×C47—44no—
625D4×C47—44no—
626D4×C47—44no—
627D4×C47—82no—
628D4×C47—82no—
629D4×C47—82no—
630D4×C47—82no—
631D4×C47—82no—
632D4×C47—82no—
633D4×C47—82no—
634D4×C47—82no—
635D4×C47—82no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—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—44no—
707C2×C4×C47—44no—
708C2×C4×C47—44no—
709C2×C4×C47—44no—
710C2×C4×C47—44no—
711C2×C4×C47—44no—
712C2×C4×C47—82no—
713C2×C4×C47—82no—
714C2×C4×C47—82no—
715C2×C4×C47C2×#4112yes—
716C2×C4×C47C2×#4112yes—
717C2×C4×C47H(5,𝔽2)12yes—
718C2×C4×C47H(5,𝔽2)12yes—
719C2×C4×C47H(5,𝔽2)12yes—
720#36904C4711yesmaximal, characteristic, direct product factor, Sylow
721C22×C47—22no—
722C22×C47—22no—
723C22×C47—22no—
724C22×C47—22no—
725C22×C47—22no—
726C22×C47—22no—
727C22×C47—22no—
728C22×C47—22no—
729C22×C47—22no—
730C22×C47—416no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47—41no—
747C22×C47—41no—
748C22×C47—41no—
749C22×C47—41no—
750C22×C47—41no—
751C22×C47—41no—
752C22×C47—41no—
753C22×C47—41no—
754C22×C47—41no—
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×C47C22×#4111yescharacteristic
765C22×C47C2×H(5,𝔽2)11yescharacteristic
766C22×C47C2×H(5,𝔽2)11yescharacteristic
767C22×C47C2×H(5,𝔽2)11yescharacteristic
768C22×C47C2×H(5,𝔽2)11yescharacteristic
769C22×C47C2×2−1+411yescharacteristic
770C22×C47#58511yescharacteristic
771C4×C47—22no—
772C4×C47—22no—
773C4×C47—22no—
774C4×C47—22no—
775C4×C47—22no—
776C4×C47—41no—
777C4×C47—41no—
778C4×C47—41no—
779C4×C47—41no—
780C4×C47—41no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786C4×C47—41no—
787C4×C47—41no—
788C4×C47—41no—
789C4×C47—41no—
790C4×C47—41no—
791C4×C47—41no—
792C4×C47—41no—
793C4×C47—41no—
794C4×C47—41no—
795C4×C47—41no—
796#2848C2×C4711yescharacteristic, complemented
797#2847C2×C4711yescharacteristic, complemented
798#2780C2×C4711yescharacteristic, complemented
799#2770C2×C4711yescharacteristic, complemented
800#2756C2×C4711yescharacteristic, complemented
801#2741C2×C4711yescharacteristic, complemented
802#2730C2×C4711yescharacteristic, complemented
803#2715C2×C4711yescharacteristic, complemented
804#2711C2×C4711yescharacteristic, complemented
805#2704C2×C4711yescharacteristic, complemented
806#2697C2×C4711yescharacteristic, complemented
807#2692C2×C4711yescharacteristic, complemented
808#2685C2×C4711yescharacteristic, complemented
809#2678C2×C4711yescharacteristic, complemented
810#2676C2×C4711yescharacteristic, complemented
811#2672C2×C4711yescharacteristic, complemented
812#2671C2×C4711yescharacteristic, complemented
813#2670C2×C4711yescharacteristic, complemented
814#2636C2×C4711yescharacteristic, complemented
815#2630C2×C4711yescharacteristic, complemented
816#2574C2×C4711yescharacteristic, complemented
817#2560C2×C4711yescharacteristic, complemented
818#2559C2×C4711yescharacteristic, complemented
819#2553C2×C4711yescharacteristic, complemented
820#2464C2×C4711yescharacteristic, complemented
821#2461C2×C4711yescharacteristic, complemented
822#2454C2×C4711yescharacteristic, complemented
823#2427C2×C4711yescharacteristic, complemented
824#2337C2×C4711yescharacteristic, complemented
825#2335C2×C4711yescharacteristic, complemented
826C4×#120C2×C4711yescharacteristic, complemented
827C2×C47—42no—
828C2×C47—42no—
829C2×C47—42no—
830C2×C47—81no—
831C2×C47—81no—
832C2×C47—81no—
833C2×C47#346011yescharacteristic
834C2×C47#351911yescharacteristic
835C2×C47#352011yescharacteristic
836C2×C47#353211yescharacteristic
837C2×C47#353611yescharacteristic
838C2×C47#354111yescharacteristic
839C2×C47#354211yescharacteristic
840C24×C4C22×C4711yescharacteristic
841C2×#126C22×C4711yescharacteristic
842C2×#126C22×C4711yescharacteristic, complemented
843C2×#125C22×C4711yescharacteristic, complemented
844C2×#124C22×C4711yescharacteristic
845C2×#124C22×C4711yescharacteristic
846C2×#124C22×C4711yescharacteristic, complemented
847C2×#123C22×C4711yescharacteristic
848C2×#123C22×C4711yescharacteristic
849C2×#123C22×C4711yescharacteristic, complemented
850C2×C22⋊Q8C22×C4711yescharacteristic
851C2×C22⋊Q8C22×C4711yescharacteristic
852C2×C22⋊Q8C22×C4711yescharacteristic
853C2×C22⋊Q8C22×C4711yescharacteristic, complemented
854C2×#121C22×C4711yescharacteristic
855C2×#121C22×C4711yescharacteristic
856C2×#121C22×C4711yescharacteristic
857C2×#121C22×C4711yescharacteristic
858C2×#121C22×C4711yescharacteristic, complemented
859C2×#120C22×C4711yescharacteristic
860C2×#120C22×C4711yescharacteristic
861C2×#120C22×C4711yescharacteristic
862C2×C4×D4C22×C4711yescharacteristic
863C2×C4×D4C22×C4711yescharacteristic
864C2×C4×D4C22×C4711yescharacteristic
865#400C22×C4711yescharacteristic, complemented
866#400C22×C4711yescharacteristic, complemented
867#399C22×C4711yescharacteristic
868#399C22×C4711yescharacteristic, complemented
869#399C22×C4711yescharacteristic, complemented
870#399C22×C4711yescharacteristic, complemented
871#398C22×C4711yescharacteristic, complemented
872#398C22×C4711yescharacteristic, complemented
873#398C22×C4711yescharacteristic, complemented
874#398C22×C4711yescharacteristic, complemented
875#398C22×C4711yescharacteristic, complemented
876#397C22×C4711yescharacteristic
877#397C22×C4711yescharacteristic
878#397C22×C4711yescharacteristic
879#397C22×C4711yescharacteristic, complemented
880#397C22×C4711yescharacteristic, complemented
881#396C22×C4711yescharacteristic
882#396C22×C4711yescharacteristic
883#396C22×C4711yescharacteristic
884#396C22×C4711yescharacteristic
885#396C22×C4711yescharacteristic, complemented
886#396C22×C4711yescharacteristic, complemented
887#396C22×C4711yescharacteristic, complemented
888#396C22×C4711yescharacteristic, complemented
889#395C22×C4711yescharacteristic, complemented
890#395C22×C4711yescharacteristic, complemented
891#394C22×C4711yescharacteristic
892#394C22×C4711yescharacteristic
893#394C22×C4711yescharacteristic
894#394C22×C4711yescharacteristic
895#394C22×C4711yescharacteristic
896#394C22×C4711yescharacteristic
897#394C22×C4711yescharacteristic
898#394C22×C4711yescharacteristic
899#394C22×C4711yescharacteristic
900#394C22×C4711yescharacteristic
901#394C22×C4711yescharacteristic, complemented
902#394C22×C4711yescharacteristic, complemented
903#394C22×C4711yescharacteristic, complemented
904#394C22×C4711yescharacteristic, complemented
905#394C22×C4711yescharacteristic, complemented
906#393C22×C4711yescharacteristic
907#393C22×C4711yescharacteristic, complemented
908#392C22×C4711yescharacteristic
909#392C22×C4711yescharacteristic
910#392C22×C4711yescharacteristic
911#392C22×C4711yescharacteristic
912#392C22×C4711yescharacteristic
913#391C22×C4711yescharacteristic, complemented
914#391C22×C4711yescharacteristic, complemented
915#391C22×C4711yescharacteristic, complemented
916#390C22×C4711yescharacteristic
917#390C22×C4711yescharacteristic
918#390C22×C4711yescharacteristic
919#390C22×C4711yescharacteristic
920#390C22×C4711yescharacteristic
921#390C22×C4711yescharacteristic
922#390C22×C4711yescharacteristic
923#389C22×C4711yescharacteristic, complemented
924#389C22×C4711yescharacteristic, complemented
925#389C22×C4711yescharacteristic, complemented
926#389C22×C4711yescharacteristic, complemented
927#388C22×C4711yescharacteristic
928#388C22×C4711yescharacteristic
929#388C22×C4711yescharacteristic
930#388C22×C4711yescharacteristic
931#388C22×C4711yescharacteristic
932#388C22×C4711yescharacteristic
933#388C22×C4711yescharacteristic
934#388C22×C4711yescharacteristic
935#388C22×C4711yescharacteristic, complemented
936#388C22×C4711yescharacteristic, complemented
937#388C22×C4711yescharacteristic, complemented
938#388C22×C4711yescharacteristic, complemented
939#388C22×C4711yescharacteristic, complemented
940#388C22×C4711yescharacteristic, complemented
941#388C22×C4711yescharacteristic, complemented
942#388C22×C4711yescharacteristic, complemented
943#387C22×C4711yescharacteristic, complemented
944#387C22×C4711yescharacteristic, complemented
945#387C22×C4711yescharacteristic, complemented
946#387C22×C4711yescharacteristic, complemented
947#387C22×C4711yescharacteristic, complemented
948#387C22×C4711yescharacteristic, complemented
949#386C22×C4711yescharacteristic
950#386C22×C4711yescharacteristic
951#386C22×C4711yescharacteristic
952#386C22×C4711yescharacteristic
953#386C22×C4711yescharacteristic
954#386C22×C4711yescharacteristic
955#386C22×C4711yescharacteristic
956#386C22×C4711yescharacteristic
957#386C22×C4711yescharacteristic
958#386C22×C4711yescharacteristic
959#386C22×C4711yescharacteristic
960#386C22×C4711yescharacteristic
961#386C22×C4711yescharacteristic, complemented
962#386C22×C4711yescharacteristic, complemented
963#385C22×C4711yescharacteristic
964#385C22×C4711yescharacteristic
965#385C22×C4711yescharacteristic
966#385C22×C4711yescharacteristic
967#385C22×C4711yescharacteristic
968#385C22×C4711yescharacteristic
969#385C22×C4711yescharacteristic
970#385C22×C4711yescharacteristic
971#385C22×C4711yescharacteristic
972#385C22×C4711yescharacteristic, complemented
973#385C22×C4711yescharacteristic, complemented
974#385C22×C4711yescharacteristic, complemented
975#383C22×C4711yescharacteristic, complemented
976#382C22×C4711yescharacteristic, complemented
977#380C22×C4711yescharacteristic
978#380C22×C4711yescharacteristic
979#380C22×C4711yescharacteristic
980#380C22×C4711yescharacteristic
981#380C22×C4711yescharacteristic
982#380C22×C4711yescharacteristic
983#380C22×C4711yescharacteristic, complemented
984#380C22×C4711yescharacteristic, complemented
985#379C22×C4711yescharacteristic
986#379C22×C4711yescharacteristic
987#379C22×C4711yescharacteristic
988C4×C4⋊C4C22×C4711yescharacteristic, complemented
989C4×C4⋊C4C22×C4711yescharacteristic, complemented
990C4×C22⋊C4C22×C4711yescharacteristic
991C4×C22⋊C4C22×C4711yescharacteristic
992C4×C22⋊C4C22×C4711yescharacteristic
993C4×C22⋊C4C22×C4711yescharacteristic, complemented
994C4×C22⋊C4C22×C4711yescharacteristic, complemented
995C47#3690411yescharacteristic, direct product factor, Sylow
996C25C23×C4711yescharacteristic
997C22×Q8C23×C4711yescharacteristic
998C22×Q8C23×C4711yescharacteristic
999C22×D4C23×C4711yescharacteristic
1000C22×D4C23×C4711yescharacteristic
1001C22×D4C23×C4711yescharacteristic
1002C22×D4C23×C4711yescharacteristic
1003C22×D4C23×C4711yescharacteristic
1004C22×D4C23×C4711yescharacteristic
1005C22×D4C23×C4711yescharacteristic
1006C22×D4C23×C4711yescharacteristic
1007C22×D4C23×C4711yescharacteristic
1008C22×D4C23×C4711yescharacteristic
1009C22×D4C23×C4711yescharacteristic
1010C22×D4C23×C4711yescharacteristic
1011C23×C4—42no—
1012C23×C4—42no—
1013C23×C4—42no—
1014C23×C4C23×C4711yescharacteristic
1015C23×C4C23×C4711yescharacteristic
1016C23×C4C23×C4711yescharacteristic
1017C23×C4C23×C4711yescharacteristic
1018C23×C4C23×C4711yescharacteristic
1019C23×C4C23×C4711yescharacteristic
1020C23×C4C23×C4711yescharacteristic
1021C23×C4C23×C4711yescharacteristic
1022C23×C4C23×C4711yescharacteristic
1023#126—42no—
1024#126—42no—
1025#125—42no—
1026#124—24no—
1027#124—42no—
1028#124—42no—
1029#123—24no—
1030#123—42no—
1031#123—42no—
1032C22⋊Q8—42no—
1033C22⋊Q8—42no—
1034C22⋊Q8—42no—
1035C22⋊Q8—42no—
1036#121—42no—
1037#121—42no—
1038#121—42no—
1039#121—42no—
1040#121—42no—
1041#120—24no—
1042#120—42no—
1043#120—42no—
1044C4×D4—42no—
1045C4×D4—42no—
1046C4×D4—42no—
1047C2×C4⋊C4C23×C4711yescharacteristic
1048C2×C4⋊C4C23×C4711yescharacteristic
1049C2×C4⋊C4C23×C4711yescharacteristic
1050C2×C4⋊C4C23×C4711yescharacteristic
1051C2×C4⋊C4C23×C4711yescharacteristic
1052C2×C4⋊C4C23×C4711yescharacteristic
1053C2×C4⋊C4C23×C4711yescharacteristic
1054C2×C4⋊C4C23×C4711yescharacteristic
1055C2×C4⋊C4C23×C4711yescharacteristic
1056C2×C4⋊C4C23×C4711yescharacteristic
1057C2×C4⋊C4C23×C4711yescharacteristic
1058C2×C4⋊C4C23×C4711yescharacteristic
1059C2×C4⋊C4C23×C4711yescharacteristic
1060C2×C4⋊C4C23×C4711yescharacteristic
1061C2×C4⋊C4C23×C4711yescharacteristic
1062C2×C4⋊C4C23×C4711yescharacteristic
1063C2×C4⋊C4C23×C4711yescharacteristic
1064C2×C4⋊C4C23×C4711yescharacteristic
1065C2×C4⋊C4C23×C4711yescharacteristic
1066C2×C4⋊C4C23×C4711yescharacteristic
1067C2×C4⋊C4C23×C4711yescharacteristic
1068C2×C4⋊C4C23×C4711yescharacteristic
1069C2×C4⋊C4C23×C4711yescharacteristic
1070C2×C4⋊C4C23×C4711yescharacteristic
1071C2×C4⋊C4C23×C4711yescharacteristic
1072C2×C4⋊C4C23×C4711yescharacteristic
1073C2×C4⋊C4C23×C4711yescharacteristic
1074C2×C4⋊C4C23×C4711yescharacteristic
1075C2×C4⋊C4C23×C4711yescharacteristic
1076C2×C4⋊C4C23×C4711yescharacteristic
1077C2×C4⋊C4C23×C4711yescharacteristic
1078C2×C4⋊C4C23×C4711yescharacteristic
1079C2×C22⋊C4C23×C4711yescharacteristic
1080C2×C22⋊C4C23×C4711yescharacteristic
1081C2×C22⋊C4C23×C4711yescharacteristic
1082C2×C22⋊C4C23×C4711yescharacteristic
1083C2×C22⋊C4C23×C4711yescharacteristic
1084C2×C22⋊C4C23×C4711yescharacteristic
1085C2×C22⋊C4C23×C4711yescharacteristic
1086C2×C22⋊C4C23×C4711yescharacteristic
1087C2×C22⋊C4C23×C4711yescharacteristic
1088C2×C22⋊C4C23×C4711yescharacteristic
1089C2×C22⋊C4C23×C4711yescharacteristic
1090C2×C22⋊C4C23×C4711yescharacteristic
1091C2×C22⋊C4C23×C4711yescharacteristic
1092C2×C22⋊C4C23×C4711yescharacteristic
1093C2×C22⋊C4C23×C4711yescharacteristic
1094C2×C22⋊C4C23×C4711yescharacteristic
1095C2×C22⋊C4C23×C4711yescharacteristic
1096C2×C22⋊C4C23×C4711yescharacteristic
1097C2×C22⋊C4C23×C4711yescharacteristic
1098C2×C22⋊C4C23×C4711yescharacteristic
1099C2×C22⋊C4C23×C4711yescharacteristic
1100C2×C22⋊C4C23×C4711yescharacteristic
1101C2×C22⋊C4C23×C4711yescharacteristic
1102C2×C22⋊C4C23×C4711yescharacteristic
1103C2×C22⋊C4C23×C4711yescharacteristic
1104C2×C22⋊C4C23×C4711yescharacteristic
1105C2×C22⋊C4C23×C4711yescharacteristic
1106C2×C22⋊C4C23×C4711yescharacteristic
1107C2×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×C42C23×C4711yescharacteristic
1134C2×C42C23×C4711yescharacteristic
1135C2×C42C23×C4711yescharacteristic
1136C2×C42C23×C4711yescharacteristic
1137C2×C42C23×C4711yescharacteristic
1138C2×C42C23×C4711yescharacteristic
1139C2×C42C23×C4711yescharacteristic
1140C2×C42C23×C4711yescharacteristic
1141C2×C42C23×C4711yescharacteristic
1142#95C23×C4711yescharacteristic
1143#95C23×C4711yescharacteristic
1144#95C23×C4711yescharacteristic
1145#95C23×C4711yescharacteristic
1146#95C23×C4711yescharacteristic
1147#95C23×C4711yescharacteristic
1148#95C23×C4711yescharacteristic
1149#95C23×C4711yescharacteristic
1150#95C23×C4711yescharacteristic
1151#95C23×C4711yescharacteristic
1152#95C23×C4711yescharacteristic
1153#95C23×C4711yescharacteristic
1154#95C23×C4711yescharacteristic
1155#95C23×C4711yescharacteristic
1156#95C23×C4711yescharacteristic
1157#95C23×C4711yescharacteristic
1158#95C23×C4711yescharacteristic
1159#95C23×C4711yescharacteristic
1160#95C23×C4711yescharacteristic
1161#95C23×C4711yescharacteristic
1162#95C23×C4711yescharacteristic
1163#95C23×C4711yescharacteristic
1164#95C23×C4711yescharacteristic
1165#95C23×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
1178C24—22no—
1179C24—22no—
1180C24—22no—
1181C24—41no—
1182C24—41no—
1183C24—41no—
1184C24—41no—
1185C24C24×C4711yescharacteristic
1186C24C24×C4711yescharacteristic
1187C24C24×C4711yescharacteristic
1188C24C24×C4711yescharacteristic
1189C24C24×C4711yescharacteristic
1190C24C24×C4711yescharacteristic
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—41no—
1194C2×Q8—41no—
1195C2×Q8—41no—
1196C2×Q8—41no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—416no—
1261C22×C4C24×C4711yescharacteristic
1262C22×C4C24×C4711yescharacteristic
1263C22×C4C24×C4711yescharacteristic
1264C22×C4C24×C4711yescharacteristic
1265C22×C4C24×C4711yescharacteristic
1266C22×C4C24×C4711yescharacteristic
1267C22×C4C24×C4711yescharacteristic
1268C22×C4C24×C4711yescharacteristic
1269C22×C4C24×C4711yescharacteristic
1270C22×C4C24×C4711yescharacteristic
1271C22×C4C24×C4711yescharacteristic
1272C22×C4C24×C4711yescharacteristic
1273C22×C4C24×C4711yescharacteristic
1274C22×C4C24×C4711yescharacteristic
1275C22×C4C24×C4711yescharacteristic
1276C22×C4C24×C4711yescharacteristic
1277C22×C4C24×C4711yescharacteristic
1278C22×C4C24×C4711yescharacteristic
1279C22×C4C24×C4711yescharacteristic
1280C22×C4C24×C4711yescharacteristic
1281C22×C4C24×C4711yescharacteristic
1282C22×C4C24×C4711yescharacteristic
1283C22×C4C24×C4711yescharacteristic
1284C22×C4C24×C4711yescharacteristic
1285C22×C4C24×C4711yescharacteristic
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4#41×C4714yes—
1372C42—22no—
1373C42—22no—
1374C42—41no—
1375C42—41no—
1376C42—41no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23C2×#41×C4712yes—
1428C23H(5,𝔽2)×C4712yes—
1429C232−1+4×C4712yes—
1430C23C25×C4711yescharacteristic
1431Q8—82no—
1432Q8—82no—
1433D4—44no—
1434D4—44no—
1435D4—44no—
1436D4—82no—
1437D4—82no—
1438D4—82no—
1439D4—82no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
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—44no—
1516C2×C4—44no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—82no—
1522C2×C4—82no—
1523C2×C4—82no—
1524C2×C4C2×#41×C4712yes—
1525C2×C4C2×#41×C4712yes—
1526C2×C4H(5,𝔽2)×C4712yes—
1527C2×C4H(5,𝔽2)×C4712yes—
1528C2×C4H(5,𝔽2)×C4712yes—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—416no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22C22×#41×C4711yescharacteristic
1573C22C2×H(5,𝔽2)×C4711yescharacteristic
1574C22C2×H(5,𝔽2)×C4711yescharacteristic
1575C22C2×H(5,𝔽2)×C4711yescharacteristic
1576C22C2×H(5,𝔽2)×C4711yescharacteristic
1577C22C2×2−1+4×C4711yescharacteristic
1578C22C47×#58511yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C2—42no—
1605C2—42no—
1606C2—42no—
1607C2—81no—
1608C2—81no—
1609C2—81no—
1610C2C47×#346011yescharacteristic
1611C2C47×#351911yescharacteristic
1612C2C47×#352011yescharacteristic
1613C2C47×#353211yescharacteristic
1614C2C47×#353611yescharacteristic
1615C2C47×#354111yescharacteristic
1616C2C47×#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×#2848C2semidirect
2. C47×#2847C2semidirect
3. C47×#2780C2semidirect
4. C47×#2770C2semidirect
5. C47×#2756C2semidirect
6. C47×#2741C2semidirect
7. C47×#2730C2semidirect
8. C47×#2715C2semidirect
9. C47×#2711C2semidirect
10. C47×#2704C2semidirect
11. C47×#2697C2semidirect
12. C47×#2692C2semidirect
13. C47×#2685C2semidirect
14. C47×#2678C2semidirect
15. C47×#2676C2semidirect
16. C47×#2672C2semidirect
17. C47×#2671C2semidirect
18. C47×#2670C2semidirect
19. C47×#2636C2semidirect
20. C47×#2630C2semidirect
21. C47×#2574C2semidirect
22. C47×#2560C2semidirect
23. C47×#2559C2semidirect
24. C47×#2553C2semidirect
25. C47×#2464C2semidirect
26. C47×#2461C2semidirect
27. C47×#2454C2semidirect
28. C47×#2427C2semidirect
29. C47×#2337C2semidirect
30. C47×#2335C2semidirect
31. C4×#120×C47C2semidirect
34. C2×#126×C47C22semidirect
35. C2×#125×C47C22semidirect
38. C2×#124×C47C22semidirect
41. C2×#123×C47C22semidirect
45. C2×C22⋊Q8×C47C22semidirect
50. C2×#121×C47C22semidirect
57. C47×#400C22semidirect
58. C47×#400C22semidirect
60. C47×#399C22semidirect
61. C47×#399C22semidirect
62. C47×#399C22semidirect
63. C47×#398C22semidirect
64. C47×#398C22semidirect
65. C47×#398C22semidirect
66. C47×#398C22semidirect
67. C47×#398C22semidirect
71. C47×#397C22semidirect
72. C47×#397C22semidirect
77. C47×#396C22semidirect
78. C47×#396C22semidirect
79. C47×#396C22semidirect
80. C47×#396C22semidirect
81. C47×#395C22semidirect
82. C47×#395C22semidirect
93. C47×#394C22semidirect
94. C47×#394C22semidirect
95. C47×#394C22semidirect
96. C47×#394C22semidirect
97. C47×#394C22semidirect
99. C47×#393C22semidirect
105. C47×#391C22semidirect
106. C47×#391C22semidirect
107. C47×#391C22semidirect
115. C47×#389C22semidirect
116. C47×#389C22semidirect
117. C47×#389C22semidirect
118. C47×#389C22semidirect
127. C47×#388C22semidirect
128. C47×#388C22semidirect
129. C47×#388C22semidirect
130. C47×#388C22semidirect
131. C47×#388C22semidirect
132. C47×#388C22semidirect
133. C47×#388C22semidirect
134. C47×#388C22semidirect
135. C47×#387C22semidirect
136. C47×#387C22semidirect
137. C47×#387C22semidirect
138. C47×#387C22semidirect
139. C47×#387C22semidirect
140. C47×#387C22semidirect
153. C47×#386C22semidirect
154. C47×#386C22semidirect
164. C47×#385C22semidirect
165. C47×#385C22semidirect
166. C47×#385C22semidirect
167. C47×#383C22semidirect
168. C47×#382C22semidirect
175. C47×#380C22semidirect
176. C47×#380C22semidirect
180. C4×C4⋊C4×C47C22semidirect
181. C4×C4⋊C4×C47C22semidirect
185. C4×C22⋊C4×C47C22semidirect
186. C4×C22⋊C4×C47C22semidirect
720. #36904C47direct (N × H)
796. #2848C2×C47semidirect
797. #2847C2×C47semidirect
798. #2780C2×C47semidirect
799. #2770C2×C47semidirect
800. #2756C2×C47semidirect
801. #2741C2×C47semidirect
802. #2730C2×C47semidirect
803. #2715C2×C47semidirect
804. #2711C2×C47semidirect
805. #2704C2×C47semidirect
806. #2697C2×C47semidirect
807. #2692C2×C47semidirect
808. #2685C2×C47semidirect
809. #2678C2×C47semidirect
810. #2676C2×C47semidirect
811. #2672C2×C47semidirect
812. #2671C2×C47semidirect
813. #2670C2×C47semidirect
814. #2636C2×C47semidirect
815. #2630C2×C47semidirect
816. #2574C2×C47semidirect
817. #2560C2×C47semidirect
818. #2559C2×C47semidirect
819. #2553C2×C47semidirect
820. #2464C2×C47semidirect
821. #2461C2×C47semidirect
822. #2454C2×C47semidirect
823. #2427C2×C47semidirect
824. #2337C2×C47semidirect
825. #2335C2×C47semidirect
826. C4×#120C2×C47semidirect
842. C2×#126C22×C47semidirect
843. C2×#125C22×C47semidirect
846. C2×#124C22×C47semidirect
849. C2×#123C22×C47semidirect
853. C2×C22⋊Q8C22×C47semidirect
858. C2×#121C22×C47semidirect
865. #400C22×C47semidirect
866. #400C22×C47semidirect
868. #399C22×C47semidirect
869. #399C22×C47semidirect
870. #399C22×C47semidirect
871. #398C22×C47semidirect
872. #398C22×C47semidirect
873. #398C22×C47semidirect
874. #398C22×C47semidirect
875. #398C22×C47semidirect
879. #397C22×C47semidirect
880. #397C22×C47semidirect
885. #396C22×C47semidirect
886. #396C22×C47semidirect
887. #396C22×C47semidirect
888. #396C22×C47semidirect
889. #395C22×C47semidirect
890. #395C22×C47semidirect
901. #394C22×C47semidirect
902. #394C22×C47semidirect
903. #394C22×C47semidirect
904. #394C22×C47semidirect
905. #394C22×C47semidirect
907. #393C22×C47semidirect
913. #391C22×C47semidirect
914. #391C22×C47semidirect
915. #391C22×C47semidirect
923. #389C22×C47semidirect
924. #389C22×C47semidirect
925. #389C22×C47semidirect
926. #389C22×C47semidirect
935. #388C22×C47semidirect
936. #388C22×C47semidirect
937. #388C22×C47semidirect
938. #388C22×C47semidirect
939. #388C22×C47semidirect
940. #388C22×C47semidirect
941. #388C22×C47semidirect
942. #388C22×C47semidirect
943. #387C22×C47semidirect
944. #387C22×C47semidirect
945. #387C22×C47semidirect
946. #387C22×C47semidirect
947. #387C22×C47semidirect
948. #387C22×C47semidirect
961. #386C22×C47semidirect
962. #386C22×C47semidirect
972. #385C22×C47semidirect
973. #385C22×C47semidirect
974. #385C22×C47semidirect
975. #383C22×C47semidirect
976. #382C22×C47semidirect
983. #380C22×C47semidirect
984. #380C22×C47semidirect
988. C4×C4⋊C4C22×C47semidirect
989. C4×C4⋊C4C22×C47semidirect
993. C4×C22⋊C4C22×C47semidirect
994. C4×C22⋊C4C22×C47semidirect
995. C47#36904direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#28482
C47×#28472
C47×#27802
C47×#27702
C47×#27562
C47×#27412
C47×#27302
C47×#27152
C47×#27112
C47×#27042
C47×#26972
C47×#26922
C47×#26852
C47×#26782
C47×#26762
C47×#26722
C47×#26712
C47×#26702
C47×#26362
C47×#26302
C47×#25742
C47×#25602
C47×#25592
C47×#25532
C47×#24642
C47×#24612
C47×#24542
C47×#24272
C47×#23372
C47×#23352
C4×#120×C472
#3690447