Finite Group Databasebeta

← C47×#36857 #26076555

Subgroups — C47×#36857 #26076555

Order 12032.

2098 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×#2788C211yesmaximal, characteristic, complemented
4C47×#2757C211yesmaximal, characteristic, complemented
5C47×#2756C211yesmaximal, characteristic, complemented
6C47×#2749C211yesmaximal, characteristic, complemented
7C47×#2737C211yesmaximal, characteristic, complemented
8C47×#2712C211yesmaximal, characteristic, complemented
9C47×#2701C211yesmaximal, characteristic, complemented
10C47×#2688C211yesmaximal, characteristic, complemented
11C47×#2688C211yesmaximal, characteristic, complemented
12C47×#2687C211yesmaximal, characteristic, complemented
13C47×#2684C211yesmaximal, characteristic, complemented
14C47×#2678C211yesmaximal, characteristic, complemented
15C47×#2676C211yesmaximal, characteristic, complemented
16C47×#2673C211yesmaximal, characteristic, complemented
17C47×#2670C211yesmaximal, characteristic, complemented
18C47×#2669C211yesmaximal, characteristic, complemented
19C47×#2631C211yesmaximal, characteristic, complemented
20C47×#2630C211yesmaximal, characteristic, complemented
21C47×#2577C211yesmaximal, characteristic, complemented
22C47×#2572C211yesmaximal, characteristic, complemented
23C47×#2557C211yesmaximal, characteristic, complemented
24C47×#2555C211yesmaximal, characteristic, complemented
25C47×#2464C211yesmaximal, characteristic, complemented
26C47×#2457C211yesmaximal, characteristic, complemented
27C47×#2445C211yesmaximal, characteristic, complemented
28C47×#2427C211yesmaximal, characteristic, complemented
29C47×#2337C211yesmaximal, characteristic, complemented
30C47×#2333C211yesmaximal, characteristic, complemented
31C4×#120×C47C211yesmaximal, characteristic, complemented
32C24×C4×C47C2211yescharacteristic
33C2×#127×C47C2211yescharacteristic
34C2×#124×C47C2211yescharacteristic
35C2×#124×C47C2211yescharacteristic
36C2×#124×C47C2211yescharacteristic
37C2×#124×C47C2211yescharacteristic, complemented
38C2×#123×C47C2211yescharacteristic
39C2×#123×C47C2211yescharacteristic
40C2×#123×C47C2211yescharacteristic
41C2×#123×C47C2211yescharacteristic, complemented
42C2×C22⋊Q8×C47C2211yescharacteristic, complemented
43C2×#121×C47C2211yescharacteristic
44C2×#121×C47C2211yescharacteristic
45C2×#121×C47C2211yescharacteristic
46C2×#121×C47C2211yescharacteristic
47C2×#121×C47C2211yescharacteristic
48C2×#121×C47C2211yescharacteristic
49C2×#121×C47C2211yescharacteristic, complemented
50C2×#120×C47C2211yescharacteristic
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×#400C2211yescharacteristic, complemented
60C47×#398C2211yescharacteristic, complemented
61C47×#398C2211yescharacteristic, complemented
62C47×#398C2211yescharacteristic, complemented
63C47×#397C2211yescharacteristic
64C47×#397C2211yescharacteristic
65C47×#397C2211yescharacteristic
66C47×#397C2211yescharacteristic, complemented
67C47×#397C2211yescharacteristic, complemented
68C47×#397C2211yescharacteristic, complemented
69C47×#397C2211yescharacteristic, complemented
70C47×#397C2211yescharacteristic, complemented
71C47×#397C2211yescharacteristic, complemented
72C47×#396C2211yescharacteristic
73C47×#396C2211yescharacteristic, complemented
74C47×#396C2211yescharacteristic, complemented
75C47×#395C2211yescharacteristic, complemented
76C47×#394C2211yescharacteristic
77C47×#394C2211yescharacteristic
78C47×#394C2211yescharacteristic
79C47×#394C2211yescharacteristic
80C47×#394C2211yescharacteristic
81C47×#394C2211yescharacteristic
82C47×#394C2211yescharacteristic
83C47×#394C2211yescharacteristic
84C47×#394C2211yescharacteristic, complemented
85C47×#394C2211yescharacteristic, complemented
86C47×#394C2211yescharacteristic, complemented
87C47×#394C2211yescharacteristic, complemented
88C47×#394C2211yescharacteristic, complemented
89C47×#393C2211yescharacteristic
90C47×#393C2211yescharacteristic
91C47×#393C2211yescharacteristic
92C47×#393C2211yescharacteristic, complemented
93C47×#393C2211yescharacteristic, complemented
94C47×#392C2211yescharacteristic
95C47×#392C2211yescharacteristic
96C47×#392C2211yescharacteristic
97C47×#392C2211yescharacteristic
98C47×#392C2211yescharacteristic
99C47×#392C2211yescharacteristic
100C47×#392C2211yescharacteristic
101C47×#392C2211yescharacteristic
102C47×#392C2211yescharacteristic
103C47×#392C2211yescharacteristic, complemented
104C47×#392C2211yescharacteristic, complemented
105C47×#391C2211yescharacteristic, complemented
106C47×#391C2211yescharacteristic, complemented
107C47×#391C2211yescharacteristic, complemented
108C47×#390C2211yescharacteristic
109C47×#390C2211yescharacteristic
110C47×#390C2211yescharacteristic
111C47×#390C2211yescharacteristic
112C47×#390C2211yescharacteristic, complemented
113C47×#390C2211yescharacteristic, complemented
114C47×#389C2211yescharacteristic, complemented
115C47×#389C2211yescharacteristic, complemented
116C47×#388C2211yescharacteristic
117C47×#388C2211yescharacteristic
118C47×#388C2211yescharacteristic
119C47×#388C2211yescharacteristic
120C47×#388C2211yescharacteristic
121C47×#388C2211yescharacteristic
122C47×#388C2211yescharacteristic
123C47×#388C2211yescharacteristic, complemented
124C47×#388C2211yescharacteristic, complemented
125C47×#388C2211yescharacteristic, complemented
126C47×#388C2211yescharacteristic, complemented
127C47×#388C2211yescharacteristic, complemented
128C47×#388C2211yescharacteristic, complemented
129C47×#388C2211yescharacteristic, complemented
130C47×#387C2211yescharacteristic, complemented
131C47×#387C2211yescharacteristic, complemented
132C47×#387C2211yescharacteristic, complemented
133C47×#387C2211yescharacteristic, complemented
134C47×#387C2211yescharacteristic, complemented
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
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×#383C2211yescharacteristic, complemented
168C47×#383C2211yescharacteristic, complemented
169C47×#383C2211yescharacteristic, complemented
170C47×#381C2211yescharacteristic
171C47×#381C2211yescharacteristic
172C47×#381C2211yescharacteristic, complemented
173C47×#381C2211yescharacteristic, complemented
174C47×#380C2211yescharacteristic
175C47×#380C2211yescharacteristic
176C47×#380C2211yescharacteristic
177C47×#380C2211yescharacteristic, complemented
178C47×#379C2211yescharacteristic
179C47×#379C2211yescharacteristic
180C4×C4⋊C4×C47C2211yescharacteristic, complemented
181C4×C22⋊C4×C47C2211yescharacteristic
182C4×C22⋊C4×C47C2211yescharacteristic
183C4×C22⋊C4×C47C2211yescharacteristic
184C4×C22⋊C4×C47C2211yescharacteristic, complemented
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
202C22×D4×C47C2311yescharacteristic
203C22×D4×C47C2311yescharacteristic
204C22×D4×C47C2311yescharacteristic
205C22×D4×C47C2311yescharacteristic
206C22×D4×C47C2311yescharacteristic
207C22×D4×C47C2311yescharacteristic
208C23×C4×C47—42no—
209C23×C4×C47—42no—
210C23×C4×C47—42no—
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—42no—
222#124×C47—24no—
223#124×C47—42no—
224#124×C47—42no—
225#124×C47—42no—
226#123×C47—42no—
227#123×C47—42no—
228#123×C47—42no—
229#123×C47—42no—
230C22⋊Q8×C47—42no—
231#121×C47—24no—
232#121×C47—42no—
233#121×C47—42no—
234#121×C47—42no—
235#121×C47—42no—
236#121×C47—42no—
237#121×C47—42no—
238#120×C47—24no—
239#120×C47—42no—
240#120×C47—42no—
241#120×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×C22⋊C4×C47C2311yescharacteristic
266C2×C22⋊C4×C47C2311yescharacteristic
267C2×C22⋊C4×C47C2311yescharacteristic
268C2×C22⋊C4×C47C2311yescharacteristic
269C2×C22⋊C4×C47C2311yescharacteristic
270C2×C22⋊C4×C47C2311yescharacteristic
271C2×C22⋊C4×C47C2311yescharacteristic
272C2×C22⋊C4×C47C2311yescharacteristic
273C2×C22⋊C4×C47C2311yescharacteristic
274C2×C22⋊C4×C47C2311yescharacteristic
275C2×C22⋊C4×C47C2311yescharacteristic
276C2×C22⋊C4×C47C2311yescharacteristic
277C2×C22⋊C4×C47C2311yescharacteristic
278C2×C22⋊C4×C47C2311yescharacteristic
279C2×C22⋊C4×C47C2311yescharacteristic
280C2×C22⋊C4×C47C2311yescharacteristic
281C2×C22⋊C4×C47C2311yescharacteristic
282C2×C22⋊C4×C47C2311yescharacteristic
283C2×C22⋊C4×C47C2311yescharacteristic
284C2×C22⋊C4×C47C2311yescharacteristic
285C2×C22⋊C4×C47C2311yescharacteristic
286C2×C22⋊C4×C47C2311yescharacteristic
287C2×C22⋊C4×C47C2311yescharacteristic
288C2×C22⋊C4×C47C2311yescharacteristic
289C2×C22⋊C4×C47C2311yescharacteristic
290C2×C22⋊C4×C47C2311yescharacteristic
291C2×C22⋊C4×C47C2311yescharacteristic
292C2×C22⋊C4×C47C2311yescharacteristic
293C2×C22⋊C4×C47C2311yescharacteristic
294C2×C22⋊C4×C47C2311yescharacteristic
295C2×C22⋊C4×C47C2311yescharacteristic
296C2×C22⋊C4×C47C2311yescharacteristic
297C2×C22⋊C4×C47C2311yescharacteristic
298C2×C22⋊C4×C47C2311yescharacteristic
299C2×C22⋊C4×C47C2311yescharacteristic
300C2×C22⋊C4×C47C2311yescharacteristic
301C2×C22⋊C4×C47C2311yescharacteristic
302C2×C22⋊C4×C47C2311yescharacteristic
303C2×C22⋊C4×C47C2311yescharacteristic
304C2×C22⋊C4×C47C2311yescharacteristic
305C2×C22⋊C4×C47C2311yescharacteristic
306C2×C22⋊C4×C47C2311yescharacteristic
307C2×C22⋊C4×C47C2311yescharacteristic
308C2×C22⋊C4×C47C2311yescharacteristic
309C2×C22⋊C4×C47C2311yescharacteristic
310C2×C22⋊C4×C47C2311yescharacteristic
311C2×C22⋊C4×C47C2311yescharacteristic
312C2×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×C42×C47C2311yescharacteristic
322C2×C42×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×Q8×C47—22no—
384C2×Q8×C47—41no—
385C2×Q8×C47—41no—
386C2×Q8×C47—41no—
387C2×Q8×C47—41no—
388C2×Q8×C47—41no—
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—22no—
402C2×D4×C47—22no—
403C2×D4×C47—22no—
404C2×D4×C47—22no—
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—41no—
437C2×D4×C47—41no—
438C2×D4×C47—41no—
439C2×D4×C47—41no—
440C2×D4×C47—41no—
441C2×D4×C47—41no—
442C2×D4×C47—41no—
443C22×C4×C47—22no—
444C22×C4×C47—22no—
445C22×C4×C47—22no—
446C22×C4×C47—22no—
447C22×C4×C47—22no—
448C22×C4×C47—22no—
449C22×C4×C47—22no—
450C22×C4×C47—22no—
451C22×C4×C47—22no—
452C22×C4×C47—22no—
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—
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—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—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—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#4114yes—
574C42×C47—22no—
575C42×C47—22no—
576C42×C47—41no—
577C42×C47—41no—
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—21no—
628C23×C47—44no—
629C23×C47—44no—
630C23×C47—44no—
631C23×C47—44no—
632C23×C47—44no—
633C23×C47—44no—
634C23×C47—44no—
635C23×C47C2×#4112yes—
636C23×C47H(5,𝔽2)12yes—
637C23×C47H(5,𝔽2)12yes—
638C23×C47C2511yescharacteristic
639Q8×C47—82no—
640Q8×C47—82no—
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—
657D4×C47—82no—
658D4×C47—82no—
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—21no—
727C2×C4×C47—44no—
728C2×C4×C47—44no—
729C2×C4×C47—44no—
730C2×C4×C47—44no—
731C2×C4×C47—44no—
732C2×C4×C47—44no—
733C2×C4×C47—82no—
734C2×C4×C47—82no—
735C2×C4×C47—82no—
736C2×C4×C47—82no—
737C2×C4×C47C2×#4112yes—
738C2×C4×C47C2×#4112yes—
739C2×C4×C47H(5,𝔽2)12yes—
740C2×C4×C47H(5,𝔽2)12yes—
741#36857C4711yesmaximal, 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—416no—
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×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—22no—
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#2788C2×C4711yescharacteristic, complemented
826#2757C2×C4711yescharacteristic, complemented
827#2756C2×C4711yescharacteristic, complemented
828#2749C2×C4711yescharacteristic, complemented
829#2737C2×C4711yescharacteristic, complemented
830#2712C2×C4711yescharacteristic, complemented
831#2701C2×C4711yescharacteristic, complemented
832#2688C2×C4711yescharacteristic, complemented
833#2688C2×C4711yescharacteristic, complemented
834#2687C2×C4711yescharacteristic, complemented
835#2684C2×C4711yescharacteristic, complemented
836#2678C2×C4711yescharacteristic, complemented
837#2676C2×C4711yescharacteristic, complemented
838#2673C2×C4711yescharacteristic, complemented
839#2670C2×C4711yescharacteristic, complemented
840#2669C2×C4711yescharacteristic, complemented
841#2631C2×C4711yescharacteristic, complemented
842#2630C2×C4711yescharacteristic, complemented
843#2577C2×C4711yescharacteristic, complemented
844#2572C2×C4711yescharacteristic, complemented
845#2557C2×C4711yescharacteristic, complemented
846#2555C2×C4711yescharacteristic, complemented
847#2464C2×C4711yescharacteristic, complemented
848#2457C2×C4711yescharacteristic, complemented
849#2445C2×C4711yescharacteristic, complemented
850#2427C2×C4711yescharacteristic, complemented
851#2337C2×C4711yescharacteristic, complemented
852#2333C2×C4711yescharacteristic, complemented
853C4×#120C2×C4711yescharacteristic, complemented
854C2×C47—42no—
855C2×C47—42no—
856C2×C47—42no—
857C2×C47—81no—
858C2×C47—81no—
859C2×C47—81no—
860C2×C47—81no—
861C2×C47#346011yescharacteristic
862C2×C47#351311yescharacteristic
863C2×C47#351911yescharacteristic
864C2×C47#353211yescharacteristic
865C2×C47#353411yescharacteristic
866C2×C47#354011yescharacteristic
867C2×C47#354211yescharacteristic
868C24×C4C22×C4711yescharacteristic
869C2×#127C22×C4711yescharacteristic
870C2×#124C22×C4711yescharacteristic
871C2×#124C22×C4711yescharacteristic
872C2×#124C22×C4711yescharacteristic
873C2×#124C22×C4711yescharacteristic, complemented
874C2×#123C22×C4711yescharacteristic
875C2×#123C22×C4711yescharacteristic
876C2×#123C22×C4711yescharacteristic
877C2×#123C22×C4711yescharacteristic, complemented
878C2×C22⋊Q8C22×C4711yescharacteristic, complemented
879C2×#121C22×C4711yescharacteristic
880C2×#121C22×C4711yescharacteristic
881C2×#121C22×C4711yescharacteristic
882C2×#121C22×C4711yescharacteristic
883C2×#121C22×C4711yescharacteristic
884C2×#121C22×C4711yescharacteristic
885C2×#121C22×C4711yescharacteristic, complemented
886C2×#120C22×C4711yescharacteristic
887C2×#120C22×C4711yescharacteristic
888C2×#120C22×C4711yescharacteristic
889C2×#120C22×C4711yescharacteristic
890C2×C4×D4C22×C4711yescharacteristic
891C2×C4×D4C22×C4711yescharacteristic
892C2×C4×D4C22×C4711yescharacteristic
893#400C22×C4711yescharacteristic, complemented
894#400C22×C4711yescharacteristic, complemented
895#400C22×C4711yescharacteristic, complemented
896#398C22×C4711yescharacteristic, complemented
897#398C22×C4711yescharacteristic, complemented
898#398C22×C4711yescharacteristic, complemented
899#397C22×C4711yescharacteristic
900#397C22×C4711yescharacteristic
901#397C22×C4711yescharacteristic
902#397C22×C4711yescharacteristic, complemented
903#397C22×C4711yescharacteristic, complemented
904#397C22×C4711yescharacteristic, complemented
905#397C22×C4711yescharacteristic, complemented
906#397C22×C4711yescharacteristic, complemented
907#397C22×C4711yescharacteristic, complemented
908#396C22×C4711yescharacteristic
909#396C22×C4711yescharacteristic, complemented
910#396C22×C4711yescharacteristic, complemented
911#395C22×C4711yescharacteristic, complemented
912#394C22×C4711yescharacteristic
913#394C22×C4711yescharacteristic
914#394C22×C4711yescharacteristic
915#394C22×C4711yescharacteristic
916#394C22×C4711yescharacteristic
917#394C22×C4711yescharacteristic
918#394C22×C4711yescharacteristic
919#394C22×C4711yescharacteristic
920#394C22×C4711yescharacteristic, complemented
921#394C22×C4711yescharacteristic, complemented
922#394C22×C4711yescharacteristic, complemented
923#394C22×C4711yescharacteristic, complemented
924#394C22×C4711yescharacteristic, complemented
925#393C22×C4711yescharacteristic
926#393C22×C4711yescharacteristic
927#393C22×C4711yescharacteristic
928#393C22×C4711yescharacteristic, complemented
929#393C22×C4711yescharacteristic, complemented
930#392C22×C4711yescharacteristic
931#392C22×C4711yescharacteristic
932#392C22×C4711yescharacteristic
933#392C22×C4711yescharacteristic
934#392C22×C4711yescharacteristic
935#392C22×C4711yescharacteristic
936#392C22×C4711yescharacteristic
937#392C22×C4711yescharacteristic
938#392C22×C4711yescharacteristic
939#392C22×C4711yescharacteristic, complemented
940#392C22×C4711yescharacteristic, complemented
941#391C22×C4711yescharacteristic, complemented
942#391C22×C4711yescharacteristic, complemented
943#391C22×C4711yescharacteristic, complemented
944#390C22×C4711yescharacteristic
945#390C22×C4711yescharacteristic
946#390C22×C4711yescharacteristic
947#390C22×C4711yescharacteristic
948#390C22×C4711yescharacteristic, complemented
949#390C22×C4711yescharacteristic, complemented
950#389C22×C4711yescharacteristic, complemented
951#389C22×C4711yescharacteristic, complemented
952#388C22×C4711yescharacteristic
953#388C22×C4711yescharacteristic
954#388C22×C4711yescharacteristic
955#388C22×C4711yescharacteristic
956#388C22×C4711yescharacteristic
957#388C22×C4711yescharacteristic
958#388C22×C4711yescharacteristic
959#388C22×C4711yescharacteristic, complemented
960#388C22×C4711yescharacteristic, complemented
961#388C22×C4711yescharacteristic, complemented
962#388C22×C4711yescharacteristic, complemented
963#388C22×C4711yescharacteristic, complemented
964#388C22×C4711yescharacteristic, complemented
965#388C22×C4711yescharacteristic, complemented
966#387C22×C4711yescharacteristic, complemented
967#387C22×C4711yescharacteristic, complemented
968#387C22×C4711yescharacteristic, complemented
969#387C22×C4711yescharacteristic, complemented
970#387C22×C4711yescharacteristic, complemented
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
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#383C22×C4711yescharacteristic, complemented
1004#383C22×C4711yescharacteristic, complemented
1005#383C22×C4711yescharacteristic, complemented
1006#381C22×C4711yescharacteristic
1007#381C22×C4711yescharacteristic
1008#381C22×C4711yescharacteristic, complemented
1009#381C22×C4711yescharacteristic, complemented
1010#380C22×C4711yescharacteristic
1011#380C22×C4711yescharacteristic
1012#380C22×C4711yescharacteristic
1013#380C22×C4711yescharacteristic, complemented
1014#379C22×C4711yescharacteristic
1015#379C22×C4711yescharacteristic
1016C4×C4⋊C4C22×C4711yescharacteristic, complemented
1017C4×C22⋊C4C22×C4711yescharacteristic
1018C4×C22⋊C4C22×C4711yescharacteristic
1019C4×C22⋊C4C22×C4711yescharacteristic
1020C4×C22⋊C4C22×C4711yescharacteristic, complemented
1021C4×C22⋊C4C22×C4711yescharacteristic, complemented
1022C4×C22⋊C4C22×C4711yescharacteristic, complemented
1023C47#3685711yescharacteristic, direct product factor, Sylow
1024C25C23×C4711yescharacteristic
1025C22×Q8C23×C4711yescharacteristic
1026C22×Q8C23×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
1043C22×D4C23×C4711yescharacteristic
1044C22×D4C23×C4711yescharacteristic
1045C23×C4—42no—
1046C23×C4—42no—
1047C23×C4—42no—
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—42no—
1059#124—24no—
1060#124—42no—
1061#124—42no—
1062#124—42no—
1063#123—42no—
1064#123—42no—
1065#123—42no—
1066#123—42no—
1067C22⋊Q8—42no—
1068#121—24no—
1069#121—42no—
1070#121—42no—
1071#121—42no—
1072#121—42no—
1073#121—42no—
1074#121—42no—
1075#120—24no—
1076#120—42no—
1077#120—42no—
1078#120—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×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×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×C42C23×C4711yescharacteristic
1159C2×C42C23×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×Q8—22no—
1221C2×Q8—41no—
1222C2×Q8—41no—
1223C2×Q8—41no—
1224C2×Q8—41no—
1225C2×Q8—41no—
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—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
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—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—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—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
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—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
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#41×C4714yes—
1411C42—22no—
1412C42—22no—
1413C42—41no—
1414C42—41no—
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—21no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23C2×#41×C4712yes—
1473C23H(5,𝔽2)×C4712yes—
1474C23H(5,𝔽2)×C4712yes—
1475C23C25×C4711yescharacteristic
1476Q8—82no—
1477Q8—82no—
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—
1494D4—82no—
1495D4—82no—
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—21no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—82no—
1571C2×C4—82no—
1572C2×C4—82no—
1573C2×C4—82no—
1574C2×C4C2×#41×C4712yes—
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—416no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
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—22no—
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—81no—
1663C2—81no—
1664C2—81no—
1665C2—81no—
1666C2C47×#346011yescharacteristic
1667C2C47×#351311yescharacteristic
1668C2C47×#351911yescharacteristic
1669C2C47×#353211yescharacteristic
1670C2C47×#353411yescharacteristic
1671C2C47×#354011yescharacteristic
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×#2788C2semidirect
4. C47×#2757C2semidirect
5. C47×#2756C2semidirect
6. C47×#2749C2semidirect
7. C47×#2737C2semidirect
8. C47×#2712C2semidirect
9. C47×#2701C2semidirect
10. C47×#2688C2semidirect
11. C47×#2688C2semidirect
12. C47×#2687C2semidirect
13. C47×#2684C2semidirect
14. C47×#2678C2semidirect
15. C47×#2676C2semidirect
16. C47×#2673C2semidirect
17. C47×#2670C2semidirect
18. C47×#2669C2semidirect
19. C47×#2631C2semidirect
20. C47×#2630C2semidirect
21. C47×#2577C2semidirect
22. C47×#2572C2semidirect
23. C47×#2557C2semidirect
24. C47×#2555C2semidirect
25. C47×#2464C2semidirect
26. C47×#2457C2semidirect
27. C47×#2445C2semidirect
28. C47×#2427C2semidirect
29. C47×#2337C2semidirect
30. C47×#2333C2semidirect
31. C4×#120×C47C2semidirect
37. C2×#124×C47C22semidirect
41. C2×#123×C47C22semidirect
42. C2×C22⋊Q8×C47C22semidirect
49. C2×#121×C47C22semidirect
57. C47×#400C22semidirect
58. C47×#400C22semidirect
59. C47×#400C22semidirect
60. C47×#398C22semidirect
61. C47×#398C22semidirect
62. C47×#398C22semidirect
66. C47×#397C22semidirect
67. C47×#397C22semidirect
68. C47×#397C22semidirect
69. C47×#397C22semidirect
70. C47×#397C22semidirect
71. C47×#397C22semidirect
73. C47×#396C22semidirect
74. C47×#396C22semidirect
75. C47×#395C22semidirect
84. C47×#394C22semidirect
85. C47×#394C22semidirect
86. C47×#394C22semidirect
87. C47×#394C22semidirect
88. C47×#394C22semidirect
92. C47×#393C22semidirect
93. C47×#393C22semidirect
103. C47×#392C22semidirect
104. C47×#392C22semidirect
105. C47×#391C22semidirect
106. C47×#391C22semidirect
107. C47×#391C22semidirect
112. C47×#390C22semidirect
113. C47×#390C22semidirect
114. C47×#389C22semidirect
115. C47×#389C22semidirect
123. C47×#388C22semidirect
124. C47×#388C22semidirect
125. C47×#388C22semidirect
126. C47×#388C22semidirect
127. C47×#388C22semidirect
128. C47×#388C22semidirect
129. C47×#388C22semidirect
130. C47×#387C22semidirect
131. C47×#387C22semidirect
132. C47×#387C22semidirect
133. C47×#387C22semidirect
134. C47×#387C22semidirect
153. C47×#386C22semidirect
154. C47×#386C22semidirect
155. C47×#386C22semidirect
156. C47×#386C22semidirect
157. C47×#386C22semidirect
158. C47×#386C22semidirect
166. C47×#385C22semidirect
167. C47×#383C22semidirect
168. C47×#383C22semidirect
169. C47×#383C22semidirect
172. C47×#381C22semidirect
173. C47×#381C22semidirect
177. C47×#380C22semidirect
180. C4×C4⋊C4×C47C22semidirect
184. C4×C22⋊C4×C47C22semidirect
185. C4×C22⋊C4×C47C22semidirect
186. C4×C22⋊C4×C47C22semidirect
741. #36857C47direct (N × H)
823. #2849C2×C47semidirect
824. #2847C2×C47semidirect
825. #2788C2×C47semidirect
826. #2757C2×C47semidirect
827. #2756C2×C47semidirect
828. #2749C2×C47semidirect
829. #2737C2×C47semidirect
830. #2712C2×C47semidirect
831. #2701C2×C47semidirect
832. #2688C2×C47semidirect
833. #2688C2×C47semidirect
834. #2687C2×C47semidirect
835. #2684C2×C47semidirect
836. #2678C2×C47semidirect
837. #2676C2×C47semidirect
838. #2673C2×C47semidirect
839. #2670C2×C47semidirect
840. #2669C2×C47semidirect
841. #2631C2×C47semidirect
842. #2630C2×C47semidirect
843. #2577C2×C47semidirect
844. #2572C2×C47semidirect
845. #2557C2×C47semidirect
846. #2555C2×C47semidirect
847. #2464C2×C47semidirect
848. #2457C2×C47semidirect
849. #2445C2×C47semidirect
850. #2427C2×C47semidirect
851. #2337C2×C47semidirect
852. #2333C2×C47semidirect
853. C4×#120C2×C47semidirect
873. C2×#124C22×C47semidirect
877. C2×#123C22×C47semidirect
878. C2×C22⋊Q8C22×C47semidirect
885. C2×#121C22×C47semidirect
893. #400C22×C47semidirect
894. #400C22×C47semidirect
895. #400C22×C47semidirect
896. #398C22×C47semidirect
897. #398C22×C47semidirect
898. #398C22×C47semidirect
902. #397C22×C47semidirect
903. #397C22×C47semidirect
904. #397C22×C47semidirect
905. #397C22×C47semidirect
906. #397C22×C47semidirect
907. #397C22×C47semidirect
909. #396C22×C47semidirect
910. #396C22×C47semidirect
911. #395C22×C47semidirect
920. #394C22×C47semidirect
921. #394C22×C47semidirect
922. #394C22×C47semidirect
923. #394C22×C47semidirect
924. #394C22×C47semidirect
928. #393C22×C47semidirect
929. #393C22×C47semidirect
939. #392C22×C47semidirect
940. #392C22×C47semidirect
941. #391C22×C47semidirect
942. #391C22×C47semidirect
943. #391C22×C47semidirect
948. #390C22×C47semidirect
949. #390C22×C47semidirect
950. #389C22×C47semidirect
951. #389C22×C47semidirect
959. #388C22×C47semidirect
960. #388C22×C47semidirect
961. #388C22×C47semidirect
962. #388C22×C47semidirect
963. #388C22×C47semidirect
964. #388C22×C47semidirect
965. #388C22×C47semidirect
966. #387C22×C47semidirect
967. #387C22×C47semidirect
968. #387C22×C47semidirect
969. #387C22×C47semidirect
970. #387C22×C47semidirect
989. #386C22×C47semidirect
990. #386C22×C47semidirect
991. #386C22×C47semidirect
992. #386C22×C47semidirect
993. #386C22×C47semidirect
994. #386C22×C47semidirect
1002. #385C22×C47semidirect
1003. #383C22×C47semidirect
1004. #383C22×C47semidirect
1005. #383C22×C47semidirect
1008. #381C22×C47semidirect
1009. #381C22×C47semidirect
1013. #380C22×C47semidirect
1016. C4×C4⋊C4C22×C47semidirect
1020. C4×C22⋊C4C22×C47semidirect
1021. C4×C22⋊C4C22×C47semidirect
1022. C4×C22⋊C4C22×C47semidirect
1023. C47#36857direct (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×#27882
C47×#27572
C47×#27562
C47×#27492
C47×#27372
C47×#27122
C47×#27012
C47×#26882
C47×#26872
C47×#26842
C47×#26782
C47×#26762
C47×#26732
C47×#26702
C47×#26692
C47×#26312
C47×#26302
C47×#25772
C47×#25722
C47×#25572
C47×#25552
C47×#24642
C47×#24572
C47×#24452
C47×#24272
C47×#23372
C47×#23332
C4×#120×C472
#3685747