Finite Group Databasebeta

← C47×#36911 #26076609

Subgroups — C47×#36911 #26076609

Order 12032.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#2856C211yesmaximal, characteristic, complemented
2C47×#2853C211yesmaximal, characteristic, complemented
3C47×#2803C211yesmaximal, characteristic, complemented
4C47×#2792C211yesmaximal, characteristic, complemented
5C47×#2790C211yesmaximal, characteristic, complemented
6C47×#2780C211yesmaximal, characteristic, complemented
7C47×#2710C211yesmaximal, characteristic, complemented
8C47×#2709C211yesmaximal, characteristic, complemented
9C47×#2701C211yesmaximal, characteristic, complemented
10C47×#2692C211yesmaximal, characteristic, complemented
11C47×#2686C211yesmaximal, characteristic, complemented
12C47×#2682C211yesmaximal, characteristic, complemented
13C47×#2681C211yesmaximal, characteristic, complemented
14C47×#2676C211yesmaximal, characteristic, complemented
15C47×#2673C211yesmaximal, characteristic, complemented
16C47×#2672C211yesmaximal, characteristic, complemented
17C47×#2671C211yesmaximal, characteristic, complemented
18C47×#2671C211yesmaximal, characteristic, complemented
19C47×#2662C211yesmaximal, characteristic, complemented
20C47×#2651C211yesmaximal, characteristic, complemented
21C47×#2559C211yesmaximal, characteristic, complemented
22C47×#2555C211yesmaximal, characteristic, complemented
23C47×#2479C211yesmaximal, characteristic, complemented
24C47×#2476C211yesmaximal, characteristic, complemented
25C47×#2464C211yesmaximal, characteristic, complemented
26C47×#2461C211yesmaximal, characteristic, complemented
27C47×#2458C211yesmaximal, characteristic, complemented
28C47×#2426C211yesmaximal, characteristic, complemented
29C47×#2335C211yesmaximal, characteristic, complemented
30C47×#2324C211yesmaximal, characteristic, complemented
31C4×C22⋊Q8×C47C211yesmaximal, characteristic, complemented
32C2×#127×C47C2211yescharacteristic
33C2×#126×C47C2211yescharacteristic
34C2×#124×C47C2211yescharacteristic
35C2×#124×C47C2211yescharacteristic
36C2×#124×C47C2211yescharacteristic
37C2×#123×C47C2211yescharacteristic
38C2×#123×C47C2211yescharacteristic
39C2×#123×C47C2211yescharacteristic
40C2×#123×C47C2211yescharacteristic
41C2×#123×C47C2211yescharacteristic
42C2×C22⋊Q8×C47C2211yescharacteristic
43C2×C22⋊Q8×C47C2211yescharacteristic
44C2×C22⋊Q8×C47C2211yescharacteristic
45C2×#121×C47C2211yescharacteristic
46C2×#121×C47C2211yescharacteristic
47C2×#121×C47C2211yescharacteristic
48C2×#121×C47C2211yescharacteristic
49C2×#121×C47C2211yescharacteristic
50C2×#121×C47C2211yescharacteristic
51C2×#121×C47C2211yescharacteristic
52C2×#121×C47C2211yescharacteristic
53C2×#121×C47C2211yescharacteristic
54C2×#121×C47C2211yescharacteristic
55C2×C4×Q8×C47C2211yescharacteristic
56C2×C4×D4×C47C2211yescharacteristic
57C2×#117×C47C2211yescharacteristic
58C22×C42×C47C2211yescharacteristic
59C47×#400C2211yescharacteristic
60C47×#399C2211yescharacteristic
61C47×#399C2211yescharacteristic
62C47×#399C2211yescharacteristic
63C47×#398C2211yescharacteristic
64C47×#398C2211yescharacteristic
65C47×#398C2211yescharacteristic
66C47×#398C2211yescharacteristic
67C47×#398C2211yescharacteristic
68C47×#398C2211yescharacteristic
69C47×#397C2211yescharacteristic
70C47×#397C2211yescharacteristic
71C47×#396C2211yescharacteristic
72C47×#396C2211yescharacteristic
73C47×#396C2211yescharacteristic
74C47×#396C2211yescharacteristic
75C47×#396C2211yescharacteristic
76C47×#396C2211yescharacteristic
77C47×#395C2211yescharacteristic
78C47×#395C2211yescharacteristic
79C47×#395C2211yescharacteristic
80C47×#394C2211yescharacteristic
81C47×#394C2211yescharacteristic
82C47×#394C2211yescharacteristic
83C47×#394C2211yescharacteristic
84C47×#394C2211yescharacteristic
85C47×#394C2211yescharacteristic
86C47×#394C2211yescharacteristic
87C47×#394C2211yescharacteristic
88C47×#394C2211yescharacteristic
89C47×#394C2211yescharacteristic
90C47×#394C2211yescharacteristic
91C47×#394C2211yescharacteristic
92C47×#394C2211yescharacteristic
93C47×#394C2211yescharacteristic
94C47×#394C2211yescharacteristic
95C47×#394C2211yescharacteristic
96C47×#394C2211yescharacteristic
97C47×#394C2211yescharacteristic
98C47×#393C2211yescharacteristic
99C47×#393C2211yescharacteristic
100C47×#393C2211yescharacteristic
101C47×#392C2211yescharacteristic
102C47×#392C2211yescharacteristic
103C47×#392C2211yescharacteristic
104C47×#392C2211yescharacteristic
105C47×#392C2211yescharacteristic
106C47×#392C2211yescharacteristic
107C47×#391C2211yescharacteristic
108C47×#390C2211yescharacteristic
109C47×#390C2211yescharacteristic
110C47×#390C2211yescharacteristic
111C47×#390C2211yescharacteristic
112C47×#390C2211yescharacteristic
113C47×#390C2211yescharacteristic
114C47×#390C2211yescharacteristic
115C47×#390C2211yescharacteristic
116C47×#390C2211yescharacteristic
117C47×#390C2211yescharacteristic
118C47×#390C2211yescharacteristic
119C47×#389C2211yescharacteristic
120C47×#389C2211yescharacteristic
121C47×#389C2211yescharacteristic
122C47×#389C2211yescharacteristic
123C47×#389C2211yescharacteristic
124C47×#389C2211yescharacteristic
125C47×#388C2211yescharacteristic
126C47×#388C2211yescharacteristic
127C47×#388C2211yescharacteristic
128C47×#388C2211yescharacteristic
129C47×#388C2211yescharacteristic
130C47×#388C2211yescharacteristic
131C47×#388C2211yescharacteristic
132C47×#388C2211yescharacteristic
133C47×#388C2211yescharacteristic
134C47×#388C2211yescharacteristic
135C47×#388C2211yescharacteristic
136C47×#388C2211yescharacteristic
137C47×#388C2211yescharacteristic
138C47×#388C2211yescharacteristic
139C47×#388C2211yescharacteristic
140C47×#388C2211yescharacteristic
141C47×#388C2211yescharacteristic
142C47×#387C2211yescharacteristic
143C47×#387C2211yescharacteristic
144C47×#387C2211yescharacteristic
145C47×#387C2211yescharacteristic
146C47×#387C2211yescharacteristic
147C47×#387C2211yescharacteristic
148C47×#387C2211yescharacteristic
149C47×#387C2211yescharacteristic
150C47×#387C2211yescharacteristic
151C47×#386C2211yescharacteristic
152C47×#386C2211yescharacteristic
153C47×#386C2211yescharacteristic
154C47×#386C2211yescharacteristic
155C47×#386C2211yescharacteristic
156C47×#386C2211yescharacteristic
157C47×#386C2211yescharacteristic
158C47×#386C2211yescharacteristic
159C47×#386C2211yescharacteristic
160C47×#386C2211yescharacteristic
161C47×#386C2211yescharacteristic
162C47×#386C2211yescharacteristic
163C47×#386C2211yescharacteristic
164C47×#385C2211yescharacteristic
165C47×#385C2211yescharacteristic
166C47×#385C2211yescharacteristic
167C47×#385C2211yescharacteristic
168C47×#385C2211yescharacteristic
169C47×#385C2211yescharacteristic
170C47×#385C2211yescharacteristic
171C47×#385C2211yescharacteristic
172C47×#385C2211yescharacteristic
173C47×#385C2211yescharacteristic
174C47×#385C2211yescharacteristic
175C47×#384C2211yescharacteristic
176C47×#381C2211yescharacteristic
177C47×#380C2211yescharacteristic
178C47×#380C2211yescharacteristic
179C47×#380C2211yescharacteristic
180C4×C4⋊C4×C47C2211yescharacteristic
181C4×C4⋊C4×C47C2211yescharacteristic
182C4×C4⋊C4×C47C2211yescharacteristic
183C4×C22⋊C4×C47C2211yescharacteristic
184C4×C22⋊C4×C47C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C22×Q8×C47C2311yescharacteristic
188C22×Q8×C47C2311yescharacteristic
189C22×D4×C47C2311yescharacteristic
190C22×D4×C47C2311yescharacteristic
191C22×D4×C47C2311yescharacteristic
192C22×D4×C47C2311yescharacteristic
193C22×D4×C47C2311yescharacteristic
194C22×D4×C47C2311yescharacteristic
195C22×D4×C47C2311yescharacteristic
196C22×D4×C47C2311yescharacteristic
197C22×D4×C47C2311yescharacteristic
198C22×D4×C47C2311yescharacteristic
199C22×D4×C47C2311yescharacteristic
200C22×D4×C47C2311yescharacteristic
201C22×D4×C47C2311yescharacteristic
202C22×D4×C47C2311yescharacteristic
203C22×D4×C47C2311yescharacteristic
204C23×C4×C47C2311yescharacteristic
205C23×C4×C47C2311yescharacteristic
206C23×C4×C47C2311yescharacteristic
207C23×C4×C47C2311yescharacteristic
208C23×C4×C47C2311yescharacteristic
209C23×C4×C47C2311yescharacteristic
210C23×C4×C47C2311yescharacteristic
211C23×C4×C47C2311yescharacteristic
212#127×C47—42no—
213#126×C47—42no—
214#124×C47—42no—
215#124×C47—42no—
216#124×C47—42no—
217#123×C47—24no—
218#123×C47—42no—
219#123×C47—42no—
220#123×C47—42no—
221#123×C47—42no—
222C22⋊Q8×C47—24no—
223C22⋊Q8×C47—42no—
224C22⋊Q8×C47—42no—
225#121×C47—24no—
226#121×C47—42no—
227#121×C47—42no—
228#121×C47—42no—
229#121×C47—42no—
230#121×C47—42no—
231#121×C47—42no—
232#121×C47—42no—
233#121×C47—42no—
234#121×C47—42no—
235C4×Q8×C47—42no—
236C4×D4×C47—42no—
237#117×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×C4⋊C4×C47C2311yescharacteristic
271C2×C22⋊C4×C47C2311yescharacteristic
272C2×C22⋊C4×C47C2311yescharacteristic
273C2×C22⋊C4×C47C2311yescharacteristic
274C2×C22⋊C4×C47C2311yescharacteristic
275C2×C22⋊C4×C47C2311yescharacteristic
276C2×C22⋊C4×C47C2311yescharacteristic
277C2×C22⋊C4×C47C2311yescharacteristic
278C2×C22⋊C4×C47C2311yescharacteristic
279C2×C22⋊C4×C47C2311yescharacteristic
280C2×C22⋊C4×C47C2311yescharacteristic
281C2×C22⋊C4×C47C2311yescharacteristic
282C2×C22⋊C4×C47C2311yescharacteristic
283C2×C22⋊C4×C47C2311yescharacteristic
284C2×C22⋊C4×C47C2311yescharacteristic
285C2×C22⋊C4×C47C2311yescharacteristic
286C2×C22⋊C4×C47C2311yescharacteristic
287C2×C22⋊C4×C47C2311yescharacteristic
288C2×C22⋊C4×C47C2311yescharacteristic
289C2×C22⋊C4×C47C2311yescharacteristic
290C2×C22⋊C4×C47C2311yescharacteristic
291C2×C22⋊C4×C47C2311yescharacteristic
292C2×C22⋊C4×C47C2311yescharacteristic
293C2×C22⋊C4×C47C2311yescharacteristic
294C2×C22⋊C4×C47C2311yescharacteristic
295C2×C22⋊C4×C47C2311yescharacteristic
296C2×C22⋊C4×C47C2311yescharacteristic
297C2×C22⋊C4×C47C2311yescharacteristic
298C2×C22⋊C4×C47C2311yescharacteristic
299C2×C22⋊C4×C47C2311yescharacteristic
300C2×C22⋊C4×C47C2311yescharacteristic
301C2×C22⋊C4×C47C2311yescharacteristic
302C2×C22⋊C4×C47C2311yescharacteristic
303C2×C22⋊C4×C47C2311yescharacteristic
304C2×C22⋊C4×C47C2311yescharacteristic
305C2×C22⋊C4×C47C2311yescharacteristic
306C2×C22⋊C4×C47C2311yescharacteristic
307C2×C22⋊C4×C47C2311yescharacteristic
308C2×C22⋊C4×C47C2311yescharacteristic
309C2×C22⋊C4×C47C2311yescharacteristic
310C2×C22⋊C4×C47C2311yescharacteristic
311C2×C22⋊C4×C47C2311yescharacteristic
312C2×C22⋊C4×C47C2311yescharacteristic
313C2×C22⋊C4×C47C2311yescharacteristic
314C2×C22⋊C4×C47C2311yescharacteristic
315C2×C22⋊C4×C47C2311yescharacteristic
316C2×C22⋊C4×C47C2311yescharacteristic
317C2×C22⋊C4×C47C2311yescharacteristic
318C2×C22⋊C4×C47C2311yescharacteristic
319C2×C22⋊C4×C47C2311yescharacteristic
320C2×C22⋊C4×C47C2311yescharacteristic
321C2×C22⋊C4×C47C2311yescharacteristic
322C2×C22⋊C4×C47C2311yescharacteristic
323C2×C42×C47—42no—
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
333C2×C42×C47C2311yescharacteristic
334C2×C42×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×C47C2411yescharacteristic
370C24×C47C2411yescharacteristic
371C24×C47C2411yescharacteristic
372C24×C47C2411yescharacteristic
373C24×C47C2411yescharacteristic
374C24×C47C2411yescharacteristic
375C2×Q8×C47—22no—
376C2×Q8×C47—22no—
377C2×Q8×C47—41no—
378C2×Q8×C47—41no—
379C2×Q8×C47—41no—
380C2×Q8×C47—41no—
381C2×D4×C47—22no—
382C2×D4×C47—22no—
383C2×D4×C47—22no—
384C2×D4×C47—22no—
385C2×D4×C47—22no—
386C2×D4×C47—22no—
387C2×D4×C47—22no—
388C2×D4×C47—22no—
389C2×D4×C47—22no—
390C2×D4×C47—22no—
391C2×D4×C47—22no—
392C2×D4×C47—22no—
393C2×D4×C47—22no—
394C2×D4×C47—41no—
395C2×D4×C47—41no—
396C2×D4×C47—41no—
397C2×D4×C47—41no—
398C2×D4×C47—41no—
399C2×D4×C47—41no—
400C2×D4×C47—41no—
401C2×D4×C47—41no—
402C2×D4×C47—41no—
403C2×D4×C47—41no—
404C2×D4×C47—41no—
405C2×D4×C47—41no—
406C2×D4×C47—41no—
407C2×D4×C47—41no—
408C2×D4×C47—41no—
409C2×D4×C47—41no—
410C2×D4×C47—41no—
411C2×D4×C47—41no—
412C2×D4×C47—41no—
413C2×D4×C47—41no—
414C2×D4×C47—41no—
415C2×D4×C47—41no—
416C2×D4×C47—41no—
417C2×D4×C47—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—
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—41no—
435C22×C4×C47—41no—
436C22×C4×C47—41no—
437C22×C4×C47—41no—
438C22×C4×C47—41no—
439C22×C4×C47—41no—
440C22×C4×C47—41no—
441C22×C4×C47—41no—
442C22×C4×C47—41no—
443C22×C4×C47—41no—
444C22×C4×C47—41no—
445C22×C4×C47—41no—
446C22×C4×C47—41no—
447C22×C4×C47—41no—
448C22×C4×C47—41no—
449C22×C4×C47—41no—
450C22×C4×C47C2411yescharacteristic
451C22×C4×C47C2411yescharacteristic
452C22×C4×C47C2411yescharacteristic
453C22×C4×C47C2411yescharacteristic
454C22×C4×C47C2411yescharacteristic
455C22×C4×C47C2411yescharacteristic
456C22×C4×C47C2411yescharacteristic
457C22×C4×C47C2411yescharacteristic
458C22×C4×C47C2411yescharacteristic
459C22×C4×C47C2411yescharacteristic
460C22×C4×C47C2411yescharacteristic
461C22×C4×C47C2411yescharacteristic
462C22×C4×C47C2411yescharacteristic
463C22×C4×C47C2411yescharacteristic
464C22×C4×C47C2411yescharacteristic
465C22×C4×C47C2411yescharacteristic
466C22×C4×C47C2411yescharacteristic
467C22×C4×C47C2411yescharacteristic
468C22×C4×C47C2411yescharacteristic
469C22×C4×C47C2411yescharacteristic
470C22×C4×C47C2411yescharacteristic
471C22×C4×C47C2411yescharacteristic
472C22×C4×C47C2411yescharacteristic
473C22×C4×C47C2411yescharacteristic
474C22×C4×C47C2411yescharacteristic
475C4⋊C4×C47—22no—
476C4⋊C4×C47—22no—
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—41no—
486C4⋊C4×C47—41no—
487C4⋊C4×C47—41no—
488C4⋊C4×C47—41no—
489C4⋊C4×C47—41no—
490C4⋊C4×C47—41no—
491C4⋊C4×C47—41no—
492C4⋊C4×C47—41no—
493C4⋊C4×C47—41no—
494C4⋊C4×C47—41no—
495C4⋊C4×C47—41no—
496C4⋊C4×C47—41no—
497C4⋊C4×C47—41no—
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#4114yes—
508C22⋊C4×C47—22no—
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—22no—
529C22⋊C4×C47—22no—
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—
560C42×C47—22no—
561C42×C47—22no—
562C42×C47—22no—
563C42×C47—22no—
564C42×C47—41no—
565C42×C47—41no—
566C42×C47—41no—
567C42×C47—41no—
568C42×C47—41no—
569C42×C47—41no—
570C42×C47—41no—
571C23×C47—21no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—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×C47H(5,𝔽2)12yes—
613C23×C47C2511yescharacteristic
614Q8×C47—44no—
615Q8×C47—82no—
616D4×C47—44no—
617D4×C47—82no—
618D4×C47—82no—
619D4×C47—82no—
620D4×C47—82no—
621D4×C47—82no—
622D4×C47—82no—
623D4×C47—82no—
624D4×C47—82no—
625D4×C47—82no—
626D4×C47—82no—
627D4×C47—82no—
628D4×C47—82no—
629D4×C47—82no—
630D4×C47—82no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—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—44no—
700C2×C4×C47—44no—
701C2×C4×C47—44no—
702C2×C4×C47—44no—
703C2×C4×C47—82no—
704C2×C4×C47—82no—
705C2×C4×C47—82no—
706C2×C4×C47—82no—
707C2×C4×C47C2×#4112yes—
708C2×C4×C47C2×#4112yes—
709C2×C4×C47C2×#4112yes—
710C2×C4×C47H(5,𝔽2)12yes—
711C2×C4×C47H(5,𝔽2)12yes—
712C2×C4×C47H(5,𝔽2)12yes—
713C2×C4×C472−1+412yes—
714#36911C4711yesmaximal, characteristic, direct product factor, Sylow
715C22×C47—22no—
716C22×C47—22no—
717C22×C47—22no—
718C22×C47—41no—
719C22×C47—41no—
720C22×C47—41no—
721C22×C47—41no—
722C22×C47—41no—
723C22×C47—41no—
724C22×C47—41no—
725C22×C47—41no—
726C22×C47—41no—
727C22×C47—41no—
728C22×C47—41no—
729C22×C47—41no—
730C22×C47—41no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47—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×C47C22×#4111yescharacteristic
758C22×C47C2×H(5,𝔽2)11yescharacteristic
759C22×C47C2×H(5,𝔽2)11yescharacteristic
760C22×C47C2×H(5,𝔽2)11yescharacteristic
761C22×C47C2×H(5,𝔽2)11yescharacteristic
762C22×C47C2×2−1+411yescharacteristic
763C22×C47#58511yescharacteristic
764C4×C47—22no—
765C4×C47—22no—
766C4×C47—22no—
767C4×C47—22no—
768C4×C47—22no—
769C4×C47—22no—
770C4×C47—22no—
771C4×C47—41no—
772C4×C47—41no—
773C4×C47—41no—
774C4×C47—41no—
775C4×C47—41no—
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—
789#2856C2×C4711yescharacteristic, complemented
790#2853C2×C4711yescharacteristic, complemented
791#2803C2×C4711yescharacteristic, complemented
792#2792C2×C4711yescharacteristic, complemented
793#2790C2×C4711yescharacteristic, complemented
794#2780C2×C4711yescharacteristic, complemented
795#2710C2×C4711yescharacteristic, complemented
796#2709C2×C4711yescharacteristic, complemented
797#2701C2×C4711yescharacteristic, complemented
798#2692C2×C4711yescharacteristic, complemented
799#2686C2×C4711yescharacteristic, complemented
800#2682C2×C4711yescharacteristic, complemented
801#2681C2×C4711yescharacteristic, complemented
802#2676C2×C4711yescharacteristic, complemented
803#2673C2×C4711yescharacteristic, complemented
804#2672C2×C4711yescharacteristic, complemented
805#2671C2×C4711yescharacteristic, complemented
806#2671C2×C4711yescharacteristic, complemented
807#2662C2×C4711yescharacteristic, complemented
808#2651C2×C4711yescharacteristic, complemented
809#2559C2×C4711yescharacteristic, complemented
810#2555C2×C4711yescharacteristic, complemented
811#2479C2×C4711yescharacteristic, complemented
812#2476C2×C4711yescharacteristic, complemented
813#2464C2×C4711yescharacteristic, complemented
814#2461C2×C4711yescharacteristic, complemented
815#2458C2×C4711yescharacteristic, complemented
816#2426C2×C4711yescharacteristic, complemented
817#2335C2×C4711yescharacteristic, complemented
818#2324C2×C4711yescharacteristic, complemented
819C4×C22⋊Q8C2×C4711yescharacteristic, complemented
820C2×C47—42no—
821C2×C47—81no—
822C2×C47—81no—
823C2×C47—81no—
824C2×C47—81no—
825C2×C47—81no—
826C2×C47#346011yescharacteristic
827C2×C47#351911yescharacteristic
828C2×C47#352211yescharacteristic
829C2×C47#353411yescharacteristic
830C2×C47#353611yescharacteristic
831C2×C47#354311yescharacteristic
832C2×C47#354711yescharacteristic
833C2×#127C22×C4711yescharacteristic
834C2×#126C22×C4711yescharacteristic
835C2×#124C22×C4711yescharacteristic
836C2×#124C22×C4711yescharacteristic
837C2×#124C22×C4711yescharacteristic
838C2×#123C22×C4711yescharacteristic
839C2×#123C22×C4711yescharacteristic
840C2×#123C22×C4711yescharacteristic
841C2×#123C22×C4711yescharacteristic
842C2×#123C22×C4711yescharacteristic
843C2×C22⋊Q8C22×C4711yescharacteristic
844C2×C22⋊Q8C22×C4711yescharacteristic
845C2×C22⋊Q8C22×C4711yescharacteristic
846C2×#121C22×C4711yescharacteristic
847C2×#121C22×C4711yescharacteristic
848C2×#121C22×C4711yescharacteristic
849C2×#121C22×C4711yescharacteristic
850C2×#121C22×C4711yescharacteristic
851C2×#121C22×C4711yescharacteristic
852C2×#121C22×C4711yescharacteristic
853C2×#121C22×C4711yescharacteristic
854C2×#121C22×C4711yescharacteristic
855C2×#121C22×C4711yescharacteristic
856C2×C4×Q8C22×C4711yescharacteristic
857C2×C4×D4C22×C4711yescharacteristic
858C2×#117C22×C4711yescharacteristic
859C22×C42C22×C4711yescharacteristic
860#400C22×C4711yescharacteristic
861#399C22×C4711yescharacteristic
862#399C22×C4711yescharacteristic
863#399C22×C4711yescharacteristic
864#398C22×C4711yescharacteristic
865#398C22×C4711yescharacteristic
866#398C22×C4711yescharacteristic
867#398C22×C4711yescharacteristic
868#398C22×C4711yescharacteristic
869#398C22×C4711yescharacteristic
870#397C22×C4711yescharacteristic
871#397C22×C4711yescharacteristic
872#396C22×C4711yescharacteristic
873#396C22×C4711yescharacteristic
874#396C22×C4711yescharacteristic
875#396C22×C4711yescharacteristic
876#396C22×C4711yescharacteristic
877#396C22×C4711yescharacteristic
878#395C22×C4711yescharacteristic
879#395C22×C4711yescharacteristic
880#395C22×C4711yescharacteristic
881#394C22×C4711yescharacteristic
882#394C22×C4711yescharacteristic
883#394C22×C4711yescharacteristic
884#394C22×C4711yescharacteristic
885#394C22×C4711yescharacteristic
886#394C22×C4711yescharacteristic
887#394C22×C4711yescharacteristic
888#394C22×C4711yescharacteristic
889#394C22×C4711yescharacteristic
890#394C22×C4711yescharacteristic
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#393C22×C4711yescharacteristic
900#393C22×C4711yescharacteristic
901#393C22×C4711yescharacteristic
902#392C22×C4711yescharacteristic
903#392C22×C4711yescharacteristic
904#392C22×C4711yescharacteristic
905#392C22×C4711yescharacteristic
906#392C22×C4711yescharacteristic
907#392C22×C4711yescharacteristic
908#391C22×C4711yescharacteristic
909#390C22×C4711yescharacteristic
910#390C22×C4711yescharacteristic
911#390C22×C4711yescharacteristic
912#390C22×C4711yescharacteristic
913#390C22×C4711yescharacteristic
914#390C22×C4711yescharacteristic
915#390C22×C4711yescharacteristic
916#390C22×C4711yescharacteristic
917#390C22×C4711yescharacteristic
918#390C22×C4711yescharacteristic
919#390C22×C4711yescharacteristic
920#389C22×C4711yescharacteristic
921#389C22×C4711yescharacteristic
922#389C22×C4711yescharacteristic
923#389C22×C4711yescharacteristic
924#389C22×C4711yescharacteristic
925#389C22×C4711yescharacteristic
926#388C22×C4711yescharacteristic
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
936#388C22×C4711yescharacteristic
937#388C22×C4711yescharacteristic
938#388C22×C4711yescharacteristic
939#388C22×C4711yescharacteristic
940#388C22×C4711yescharacteristic
941#388C22×C4711yescharacteristic
942#388C22×C4711yescharacteristic
943#387C22×C4711yescharacteristic
944#387C22×C4711yescharacteristic
945#387C22×C4711yescharacteristic
946#387C22×C4711yescharacteristic
947#387C22×C4711yescharacteristic
948#387C22×C4711yescharacteristic
949#387C22×C4711yescharacteristic
950#387C22×C4711yescharacteristic
951#387C22×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
962#386C22×C4711yescharacteristic
963#386C22×C4711yescharacteristic
964#386C22×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
973#385C22×C4711yescharacteristic
974#385C22×C4711yescharacteristic
975#385C22×C4711yescharacteristic
976#384C22×C4711yescharacteristic
977#381C22×C4711yescharacteristic
978#380C22×C4711yescharacteristic
979#380C22×C4711yescharacteristic
980#380C22×C4711yescharacteristic
981C4×C4⋊C4C22×C4711yescharacteristic
982C4×C4⋊C4C22×C4711yescharacteristic
983C4×C4⋊C4C22×C4711yescharacteristic
984C4×C22⋊C4C22×C4711yescharacteristic
985C4×C22⋊C4C22×C4711yescharacteristic
986C4×C22⋊C4C22×C4711yescharacteristic
987C4×C22⋊C4C22×C4711yescharacteristic
988C47#3691111yescharacteristic, direct product factor, Sylow
989C22×Q8C23×C4711yescharacteristic
990C22×Q8C23×C4711yescharacteristic
991C22×D4C23×C4711yescharacteristic
992C22×D4C23×C4711yescharacteristic
993C22×D4C23×C4711yescharacteristic
994C22×D4C23×C4711yescharacteristic
995C22×D4C23×C4711yescharacteristic
996C22×D4C23×C4711yescharacteristic
997C22×D4C23×C4711yescharacteristic
998C22×D4C23×C4711yescharacteristic
999C22×D4C23×C4711yescharacteristic
1000C22×D4C23×C4711yescharacteristic
1001C22×D4C23×C4711yescharacteristic
1002C22×D4C23×C4711yescharacteristic
1003C22×D4C23×C4711yescharacteristic
1004C22×D4C23×C4711yescharacteristic
1005C22×D4C23×C4711yescharacteristic
1006C23×C4C23×C4711yescharacteristic
1007C23×C4C23×C4711yescharacteristic
1008C23×C4C23×C4711yescharacteristic
1009C23×C4C23×C4711yescharacteristic
1010C23×C4C23×C4711yescharacteristic
1011C23×C4C23×C4711yescharacteristic
1012C23×C4C23×C4711yescharacteristic
1013C23×C4C23×C4711yescharacteristic
1014#127—42no—
1015#126—42no—
1016#124—42no—
1017#124—42no—
1018#124—42no—
1019#123—24no—
1020#123—42no—
1021#123—42no—
1022#123—42no—
1023#123—42no—
1024C22⋊Q8—24no—
1025C22⋊Q8—42no—
1026C22⋊Q8—42no—
1027#121—24no—
1028#121—42no—
1029#121—42no—
1030#121—42no—
1031#121—42no—
1032#121—42no—
1033#121—42no—
1034#121—42no—
1035#121—42no—
1036#121—42no—
1037C4×Q8—42no—
1038C4×D4—42no—
1039#117—42no—
1040C2×C4⋊C4C23×C4711yescharacteristic
1041C2×C4⋊C4C23×C4711yescharacteristic
1042C2×C4⋊C4C23×C4711yescharacteristic
1043C2×C4⋊C4C23×C4711yescharacteristic
1044C2×C4⋊C4C23×C4711yescharacteristic
1045C2×C4⋊C4C23×C4711yescharacteristic
1046C2×C4⋊C4C23×C4711yescharacteristic
1047C2×C4⋊C4C23×C4711yescharacteristic
1048C2×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×C22⋊C4C23×C4711yescharacteristic
1074C2×C22⋊C4C23×C4711yescharacteristic
1075C2×C22⋊C4C23×C4711yescharacteristic
1076C2×C22⋊C4C23×C4711yescharacteristic
1077C2×C22⋊C4C23×C4711yescharacteristic
1078C2×C22⋊C4C23×C4711yescharacteristic
1079C2×C22⋊C4C23×C4711yescharacteristic
1080C2×C22⋊C4C23×C4711yescharacteristic
1081C2×C22⋊C4C23×C4711yescharacteristic
1082C2×C22⋊C4C23×C4711yescharacteristic
1083C2×C22⋊C4C23×C4711yescharacteristic
1084C2×C22⋊C4C23×C4711yescharacteristic
1085C2×C22⋊C4C23×C4711yescharacteristic
1086C2×C22⋊C4C23×C4711yescharacteristic
1087C2×C22⋊C4C23×C4711yescharacteristic
1088C2×C22⋊C4C23×C4711yescharacteristic
1089C2×C22⋊C4C23×C4711yescharacteristic
1090C2×C22⋊C4C23×C4711yescharacteristic
1091C2×C22⋊C4C23×C4711yescharacteristic
1092C2×C22⋊C4C23×C4711yescharacteristic
1093C2×C22⋊C4C23×C4711yescharacteristic
1094C2×C22⋊C4C23×C4711yescharacteristic
1095C2×C22⋊C4C23×C4711yescharacteristic
1096C2×C22⋊C4C23×C4711yescharacteristic
1097C2×C22⋊C4C23×C4711yescharacteristic
1098C2×C22⋊C4C23×C4711yescharacteristic
1099C2×C22⋊C4C23×C4711yescharacteristic
1100C2×C22⋊C4C23×C4711yescharacteristic
1101C2×C22⋊C4C23×C4711yescharacteristic
1102C2×C22⋊C4C23×C4711yescharacteristic
1103C2×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×C42—42no—
1126C2×C42C23×C4711yescharacteristic
1127C2×C42C23×C4711yescharacteristic
1128C2×C42C23×C4711yescharacteristic
1129C2×C42C23×C4711yescharacteristic
1130C2×C42C23×C4711yescharacteristic
1131C2×C42C23×C4711yescharacteristic
1132C2×C42C23×C4711yescharacteristic
1133C2×C42C23×C4711yescharacteristic
1134C2×C42C23×C4711yescharacteristic
1135C2×C42C23×C4711yescharacteristic
1136C2×C42C23×C4711yescharacteristic
1137#95C23×C4711yescharacteristic
1138#95C23×C4711yescharacteristic
1139#95C23×C4711yescharacteristic
1140#95C23×C4711yescharacteristic
1141#95C23×C4711yescharacteristic
1142#95C23×C4711yescharacteristic
1143#95C23×C4711yescharacteristic
1144#95C23×C4711yescharacteristic
1145#95C23×C4711yescharacteristic
1146#95C23×C4711yescharacteristic
1147#95C23×C4711yescharacteristic
1148#95C23×C4711yescharacteristic
1149#95C23×C4711yescharacteristic
1150#95C23×C4711yescharacteristic
1151#95C23×C4711yescharacteristic
1152#95C23×C4711yescharacteristic
1153#95C23×C4711yescharacteristic
1154#95C23×C4711yescharacteristic
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
1171C24C24×C4711yescharacteristic
1172C24C24×C4711yescharacteristic
1173C24C24×C4711yescharacteristic
1174C24C24×C4711yescharacteristic
1175C24C24×C4711yescharacteristic
1176C24C24×C4711yescharacteristic
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—41no—
1180C2×Q8—41no—
1181C2×Q8—41no—
1182C2×Q8—41no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—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—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
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×C4C24×C4711yescharacteristic
1253C22×C4C24×C4711yescharacteristic
1254C22×C4C24×C4711yescharacteristic
1255C22×C4C24×C4711yescharacteristic
1256C22×C4C24×C4711yescharacteristic
1257C22×C4C24×C4711yescharacteristic
1258C22×C4C24×C4711yescharacteristic
1259C22×C4C24×C4711yescharacteristic
1260C22×C4C24×C4711yescharacteristic
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
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
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#41×C4714yes—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
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—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
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—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—41no—
1367C42—41no—
1368C42—41no—
1369C42—41no—
1370C42—41no—
1371C42—41no—
1372C42—41no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—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—
1414C23H(5,𝔽2)×C4712yes—
1415C23C25×C4711yescharacteristic
1416Q8—44no—
1417Q8—82no—
1418D4—44no—
1419D4—82no—
1420D4—82no—
1421D4—82no—
1422D4—82no—
1423D4—82no—
1424D4—82no—
1425D4—82no—
1426D4—82no—
1427D4—82no—
1428D4—82no—
1429D4—82no—
1430D4—82no—
1431D4—82no—
1432D4—82no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—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—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—82no—
1506C2×C4—82no—
1507C2×C4—82no—
1508C2×C4—82no—
1509C2×C4C2×#41×C4712yes—
1510C2×C4C2×#41×C4712yes—
1511C2×C4C2×#41×C4712yes—
1512C2×C4H(5,𝔽2)×C4712yes—
1513C2×C4H(5,𝔽2)×C4712yes—
1514C2×C4H(5,𝔽2)×C4712yes—
1515C2×C42−1+4×C4712yes—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
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—
1558C22C22×#41×C4711yescharacteristic
1559C22C2×H(5,𝔽2)×C4711yescharacteristic
1560C22C2×H(5,𝔽2)×C4711yescharacteristic
1561C22C2×H(5,𝔽2)×C4711yescharacteristic
1562C22C2×H(5,𝔽2)×C4711yescharacteristic
1563C22C2×2−1+4×C4711yescharacteristic
1564C22C47×#58511yescharacteristic
1565C4—22no—
1566C4—22no—
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C2—42no—
1591C2—81no—
1592C2—81no—
1593C2—81no—
1594C2—81no—
1595C2—81no—
1596C2C47×#346011yescharacteristic
1597C2C47×#351911yescharacteristic
1598C2C47×#352211yescharacteristic
1599C2C47×#353411yescharacteristic
1600C2C47×#353611yescharacteristic
1601C2C47×#354311yescharacteristic
1602C2C47×#354711yescharacteristic
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×#2856C2semidirect
2. C47×#2853C2semidirect
3. C47×#2803C2semidirect
4. C47×#2792C2semidirect
5. C47×#2790C2semidirect
6. C47×#2780C2semidirect
7. C47×#2710C2semidirect
8. C47×#2709C2semidirect
9. C47×#2701C2semidirect
10. C47×#2692C2semidirect
11. C47×#2686C2semidirect
12. C47×#2682C2semidirect
13. C47×#2681C2semidirect
14. C47×#2676C2semidirect
15. C47×#2673C2semidirect
16. C47×#2672C2semidirect
17. C47×#2671C2semidirect
18. C47×#2671C2semidirect
19. C47×#2662C2semidirect
20. C47×#2651C2semidirect
21. C47×#2559C2semidirect
22. C47×#2555C2semidirect
23. C47×#2479C2semidirect
24. C47×#2476C2semidirect
25. C47×#2464C2semidirect
26. C47×#2461C2semidirect
27. C47×#2458C2semidirect
28. C47×#2426C2semidirect
29. C47×#2335C2semidirect
30. C47×#2324C2semidirect
31. C4×C22⋊Q8×C47C2semidirect
714. #36911C47direct (N × H)
789. #2856C2×C47semidirect
790. #2853C2×C47semidirect
791. #2803C2×C47semidirect
792. #2792C2×C47semidirect
793. #2790C2×C47semidirect
794. #2780C2×C47semidirect
795. #2710C2×C47semidirect
796. #2709C2×C47semidirect
797. #2701C2×C47semidirect
798. #2692C2×C47semidirect
799. #2686C2×C47semidirect
800. #2682C2×C47semidirect
801. #2681C2×C47semidirect
802. #2676C2×C47semidirect
803. #2673C2×C47semidirect
804. #2672C2×C47semidirect
805. #2671C2×C47semidirect
806. #2671C2×C47semidirect
807. #2662C2×C47semidirect
808. #2651C2×C47semidirect
809. #2559C2×C47semidirect
810. #2555C2×C47semidirect
811. #2479C2×C47semidirect
812. #2476C2×C47semidirect
813. #2464C2×C47semidirect
814. #2461C2×C47semidirect
815. #2458C2×C47semidirect
816. #2426C2×C47semidirect
817. #2335C2×C47semidirect
818. #2324C2×C47semidirect
819. C4×C22⋊Q8C2×C47semidirect
988. C47#36911direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#28562
C47×#28532
C47×#28032
C47×#27922
C47×#27902
C47×#27802
C47×#27102
C47×#27092
C47×#27012
C47×#26922
C47×#26862
C47×#26822
C47×#26812
C47×#26762
C47×#26732
C47×#26722
C47×#26712
C47×#26622
C47×#26512
C47×#25592
C47×#25552
C47×#24792
C47×#24762
C47×#24642
C47×#24612
C47×#24582
C47×#24262
C47×#23352
C47×#23242
C4×C22⋊Q8×C472
#3691147