Finite Group Databasebeta

← C47×#36724 #26076422

Subgroups — C47×#36724 #26076422

Order 12032.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C47×#538C211yesmaximal, characteristic, complemented
2C2×C47×#525C211yesmaximal, characteristic, complemented
3C47×#2849C211yesmaximal, characteristic, complemented
4C47×#2847C211yesmaximal, characteristic, complemented
5C47×#2705C211yesmaximal, characteristic, complemented
6C47×#2702C211yesmaximal, characteristic, complemented
7C47×#2700C211yesmaximal, characteristic, complemented
8C47×#2699C211yesmaximal, characteristic, complemented
9C47×#2687C211yesmaximal, characteristic, complemented
10C47×#2682C211yesmaximal, characteristic, complemented
11C47×#2681C211yesmaximal, characteristic, complemented
12C47×#2681C211yesmaximal, characteristic, complemented
13C47×#2679C211yesmaximal, characteristic, complemented
14C47×#2678C211yesmaximal, characteristic, complemented
15C47×#2678C211yesmaximal, characteristic, complemented
16C47×#2678C211yesmaximal, characteristic, complemented
17C47×#2672C211yesmaximal, characteristic, complemented
18C47×#2670C211yesmaximal, characteristic, complemented
19C47×#2669C211yesmaximal, characteristic, complemented
20C47×#2669C211yesmaximal, characteristic, complemented
21C47×#2635C211yesmaximal, characteristic, complemented
22C47×#2630C211yesmaximal, characteristic, complemented
23C47×#2610C211yesmaximal, characteristic, complemented
24C47×#2603C211yesmaximal, characteristic, complemented
25C47×#2601C211yesmaximal, characteristic, complemented
26C47×#2600C211yesmaximal, characteristic, complemented
27C47×#2544C211yesmaximal, characteristic, complemented
28C47×#2534C211yesmaximal, characteristic, complemented
29C47×#2407C211yesmaximal, characteristic, complemented
30C47×#2404C211yesmaximal, characteristic, complemented
31C47×#2319C211yesmaximal, characteristic, complemented
32C22×#41×C47C2211yescharacteristic
33C24×C4×C47C2211yescharacteristic, complemented
34C47×#538—28no—
35C2×#127×C47C2211yescharacteristic
36C2×#126×C47C2211yescharacteristic, complemented
37C2×#126×C47C2211yescharacteristic, complemented
38C2×#124×C47C2211yescharacteristic
39C2×#124×C47C2211yescharacteristic, complemented
40C2×#124×C47C2211yescharacteristic, complemented
41C47×#525—28no—
42C2×#123×C47C2211yescharacteristic
43C2×#123×C47C2211yescharacteristic
44C2×#123×C47C2211yescharacteristic
45C2×#123×C47C2211yescharacteristic
46C2×#123×C47C2211yescharacteristic, complemented
47C2×#123×C47C2211yescharacteristic, complemented
48C2×C22⋊Q8×C47C2211yescharacteristic, complemented
49C2×C22⋊Q8×C47C2211yescharacteristic, complemented
50C2×C22⋊Q8×C47C2211yescharacteristic, complemented
51C2×C22⋊Q8×C47C2211yescharacteristic, complemented
52C2×#121×C47C2211yescharacteristic
53C2×#121×C47C2211yescharacteristic
54C2×#121×C47C2211yescharacteristic
55C2×#121×C47C2211yescharacteristic
56C2×#121×C47C2211yescharacteristic
57C2×#121×C47C2211yescharacteristic
58C2×#121×C47C2211yescharacteristic
59C2×#121×C47C2211yescharacteristic, complemented
60C2×#120×C47C2211yescharacteristic
61C2×#120×C47C2211yescharacteristic
62C2×#120×C47C2211yescharacteristic
63C2×#120×C47C2211yescharacteristic
64C2×#120×C47C2211yescharacteristic
65C2×#120×C47C2211yescharacteristic
66C2×#120×C47C2211yescharacteristic, complemented
67C2×#120×C47C2211yescharacteristic, complemented
68C2×#120×C47C2211yescharacteristic, complemented
69C2×#120×C47C2211yescharacteristic, complemented
70C2×C4×D4×C47C2211yescharacteristic
71C2×C4×D4×C47C2211yescharacteristic
72C2×C4×D4×C47C2211yescharacteristic, complemented
73C2×C4×D4×C47C2211yescharacteristic, complemented
74C2×C4×D4×C47C2211yescharacteristic, complemented
75C2×#117×C47C2211yescharacteristic, complemented
76C22×C22⋊C4×C47C2211yescharacteristic, complemented
77C47×#400C2211yescharacteristic, complemented
78C47×#399C2211yescharacteristic, complemented
79C47×#398C2211yescharacteristic, complemented
80C47×#398C2211yescharacteristic, complemented
81C47×#398C2211yescharacteristic, complemented
82C47×#397C2211yescharacteristic, complemented
83C47×#397C2211yescharacteristic, complemented
84C47×#397C2211yescharacteristic, complemented
85C47×#396C2211yescharacteristic, complemented
86C47×#396C2211yescharacteristic, complemented
87C47×#396C2211yescharacteristic, complemented
88C47×#396C2211yescharacteristic, complemented
89C47×#396C2211yescharacteristic, complemented
90C47×#396C2211yescharacteristic, complemented
91C47×#395C2211yescharacteristic, complemented
92C47×#394C2211yescharacteristic
93C47×#394C2211yescharacteristic
94C47×#394C2211yescharacteristic
95C47×#394C2211yescharacteristic
96C47×#394C2211yescharacteristic
97C47×#394C2211yescharacteristic
98C47×#394C2211yescharacteristic
99C47×#394C2211yescharacteristic
100C47×#394C2211yescharacteristic, complemented
101C47×#394C2211yescharacteristic, complemented
102C47×#394C2211yescharacteristic, complemented
103C47×#394C2211yescharacteristic, complemented
104C47×#394C2211yescharacteristic, complemented
105C47×#394C2211yescharacteristic, complemented
106C47×#394C2211yescharacteristic, complemented
107C47×#394C2211yescharacteristic, complemented
108C47×#394C2211yescharacteristic, complemented
109C47×#394C2211yescharacteristic, complemented
110C47×#394C2211yescharacteristic, complemented
111C47×#393C2211yescharacteristic, complemented
112C47×#393C2211yescharacteristic, complemented
113C47×#393C2211yescharacteristic, complemented
114C47×#392C2211yescharacteristic
115C47×#392C2211yescharacteristic
116C47×#392C2211yescharacteristic
117C47×#392C2211yescharacteristic
118C47×#392C2211yescharacteristic
119C47×#392C2211yescharacteristic
120C47×#392C2211yescharacteristic
121C47×#392C2211yescharacteristic
122C47×#392C2211yescharacteristic, complemented
123C47×#392C2211yescharacteristic, complemented
124C47×#392C2211yescharacteristic, complemented
125C47×#391C2211yescharacteristic, complemented
126C47×#391C2211yescharacteristic, complemented
127C47×#390C2211yescharacteristic
128C47×#390C2211yescharacteristic
129C47×#390C2211yescharacteristic
130C47×#390C2211yescharacteristic
131C47×#390C2211yescharacteristic
132C47×#390C2211yescharacteristic, complemented
133C47×#390C2211yescharacteristic, complemented
134C47×#390C2211yescharacteristic, complemented
135C47×#390C2211yescharacteristic, complemented
136C47×#389C2211yescharacteristic, complemented
137C47×#389C2211yescharacteristic, complemented
138C47×#389C2211yescharacteristic, complemented
139C47×#388C2211yescharacteristic, complemented
140C47×#388C2211yescharacteristic, complemented
141C47×#388C2211yescharacteristic, complemented
142C47×#388C2211yescharacteristic, complemented
143C47×#388C2211yescharacteristic, complemented
144C47×#388C2211yescharacteristic, complemented
145C47×#388C2211yescharacteristic, complemented
146C47×#388C2211yescharacteristic, complemented
147C47×#388C2211yescharacteristic, complemented
148C47×#388C2211yescharacteristic, complemented
149C47×#388C2211yescharacteristic, complemented
150C47×#388C2211yescharacteristic, complemented
151C47×#388C2211yescharacteristic, complemented
152C47×#388C2211yescharacteristic, complemented
153C47×#387C2211yescharacteristic, complemented
154C47×#387C2211yescharacteristic, complemented
155C47×#386C2211yescharacteristic
156C47×#386C2211yescharacteristic
157C47×#386C2211yescharacteristic
158C47×#386C2211yescharacteristic
159C47×#386C2211yescharacteristic
160C47×#386C2211yescharacteristic
161C47×#386C2211yescharacteristic
162C47×#386C2211yescharacteristic
163C47×#386C2211yescharacteristic, complemented
164C47×#386C2211yescharacteristic, complemented
165C47×#386C2211yescharacteristic, complemented
166C47×#386C2211yescharacteristic, complemented
167C47×#386C2211yescharacteristic, complemented
168C47×#386C2211yescharacteristic, complemented
169C47×#386C2211yescharacteristic, complemented
170C47×#386C2211yescharacteristic, complemented
171C47×#385C2211yescharacteristic, complemented
172C47×#385C2211yescharacteristic, complemented
173C47×#385C2211yescharacteristic, complemented
174C47×#385C2211yescharacteristic, complemented
175C47×#385C2211yescharacteristic, complemented
176C47×#385C2211yescharacteristic, complemented
177C47×#381C2211yescharacteristic, complemented
178C47×#381C2211yescharacteristic, complemented
179C47×#381C2211yescharacteristic, complemented
180C47×#381C2211yescharacteristic, complemented
181C47×#380C2211yescharacteristic, complemented
182C47×#380C2211yescharacteristic, complemented
183C47×#380C2211yescharacteristic, complemented
184C47×#380C2211yescharacteristic, complemented
185C47×#379C2211yescharacteristic, complemented
186C47×#379C2211yescharacteristic, complemented
187C4×C4⋊C4×C47C2211yescharacteristic, complemented
188C47×#376C2211yescharacteristic, complemented
189C25×C47C2311yescharacteristic
190C25×C47C2311yescharacteristic
191C2×#41×C47—24no—
192C2×#41×C47—42no—
193C2×#41×C47—42no—
194C22×Q8×C47C2311yescharacteristic
195C22×Q8×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
208C22×D4×C47C2311yescharacteristic
209C22×D4×C47C2311yescharacteristic
210C22×D4×C47C2311yescharacteristic
211C22×D4×C47C2311yescharacteristic
212C22×D4×C47C2311yescharacteristic
213C22×D4×C47C2311yescharacteristic
214C22×D4×C47C2311yescharacteristic
215C22×D4×C47C2311yescharacteristic
216C22×D4×C47C2311yescharacteristic
217C22×D4×C47C2311yescharacteristic
218C23×C4×C47—24no—
219C23×C4×C47—42no—
220C23×C4×C47—42no—
221C23×C4×C47C2311yescharacteristic
222C23×C4×C47C2311yescharacteristic
223C23×C4×C47C2311yescharacteristic
224C23×C4×C47C2311yescharacteristic
225C23×C4×C47C2311yescharacteristic
226C23×C4×C47C2311yescharacteristic
227C23×C4×C47C2311yescharacteristic
228C23×C4×C47C2311yescharacteristic
229C23×C4×C47C2311yescharacteristic
230C23×C4×C47C2311yescharacteristic
231#127×C47—42no—
232#126×C47—24no—
233#126×C47—24no—
234#124×C47—24no—
235#124×C47—24no—
236#124×C47—42no—
237#123×C47—24no—
238#123×C47—24no—
239#123×C47—24no—
240#123×C47—24no—
241#123×C47—42no—
242#123×C47—42no—
243C22⋊Q8×C47—24no—
244C22⋊Q8×C47—24no—
245C22⋊Q8×C47—24no—
246C22⋊Q8×C47—42no—
247#121×C47—24no—
248#121×C47—24no—
249#121×C47—24no—
250#121×C47—24no—
251#121×C47—24no—
252#121×C47—42no—
253#121×C47—42no—
254#121×C47—42no—
255#120×C47—24no—
256#120×C47—24no—
257#120×C47—24no—
258#120×C47—24no—
259#120×C47—42no—
260#120×C47—42no—
261#120×C47—42no—
262#120×C47—42no—
263#120×C47—42no—
264#120×C47—42no—
265C4×D4×C47—24no—
266C4×D4×C47—24no—
267C4×D4×C47—24no—
268C4×D4×C47—24no—
269C4×D4×C47D418yescomplemented
270#117×C47—24no—
271C2×C4⋊C4×C47C2311yescharacteristic
272C2×C4⋊C4×C47C2311yescharacteristic
273C2×C4⋊C4×C47C2311yescharacteristic
274C2×C4⋊C4×C47C2311yescharacteristic
275C2×C4⋊C4×C47C2311yescharacteristic
276C2×C4⋊C4×C47C2311yescharacteristic
277C2×C4⋊C4×C47C2311yescharacteristic
278C2×C4⋊C4×C47C2311yescharacteristic
279C2×C4⋊C4×C47C2311yescharacteristic
280C2×C4⋊C4×C47C2311yescharacteristic
281C2×C4⋊C4×C47C2311yescharacteristic
282C2×C4⋊C4×C47C2311yescharacteristic
283C2×C4⋊C4×C47C2311yescharacteristic
284C2×C4⋊C4×C47C2311yescharacteristic
285C2×C4⋊C4×C47C2311yescharacteristic
286C2×C4⋊C4×C47C2311yescharacteristic
287C2×C4⋊C4×C47C2311yescharacteristic
288C2×C4⋊C4×C47C2311yescharacteristic
289C2×C4⋊C4×C47C2311yescharacteristic
290C2×C4⋊C4×C47C2311yescharacteristic
291C2×C4⋊C4×C47C2311yescharacteristic
292C2×C4⋊C4×C47C2311yescharacteristic
293C2×C4⋊C4×C47C2311yescharacteristic
294C2×C4⋊C4×C47C2311yescharacteristic
295C2×C22⋊C4×C47—24no—
296C2×C22⋊C4×C47C2311yescharacteristic
297C2×C22⋊C4×C47C2311yescharacteristic
298C2×C22⋊C4×C47C2311yescharacteristic
299C2×C22⋊C4×C47C2311yescharacteristic
300C2×C22⋊C4×C47C2311yescharacteristic
301C2×C22⋊C4×C47C2311yescharacteristic
302C2×C22⋊C4×C47C2311yescharacteristic
303C2×C22⋊C4×C47C2311yescharacteristic
304C2×C22⋊C4×C47C2311yescharacteristic
305C2×C22⋊C4×C47C2311yescharacteristic
306C2×C22⋊C4×C47C2311yescharacteristic
307C2×C22⋊C4×C47C2311yescharacteristic
308C2×C22⋊C4×C47C2311yescharacteristic
309C2×C22⋊C4×C47C2311yescharacteristic
310C2×C22⋊C4×C47C2311yescharacteristic
311C2×C22⋊C4×C47C2311yescharacteristic
312C2×C22⋊C4×C47C2311yescharacteristic
313C2×C22⋊C4×C47C2311yescharacteristic
314C2×C22⋊C4×C47C2311yescharacteristic
315C2×C22⋊C4×C47C2311yescharacteristic
316C2×C22⋊C4×C47C2311yescharacteristic
317C2×C22⋊C4×C47C2311yescharacteristic
318C2×C22⋊C4×C47C2311yescharacteristic
319C2×C22⋊C4×C47C2311yescharacteristic
320C2×C22⋊C4×C47C2311yescharacteristic
321C2×C22⋊C4×C47C2311yescharacteristic
322C2×C22⋊C4×C47C2311yescharacteristic
323C2×C22⋊C4×C47C2311yescharacteristic
324C2×C22⋊C4×C47C2311yescharacteristic
325C2×C22⋊C4×C47C2311yescharacteristic
326C2×C22⋊C4×C47C2311yescharacteristic
327C2×C22⋊C4×C47C2311yescharacteristic
328C2×C22⋊C4×C47C2311yescharacteristic
329C2×C22⋊C4×C47C2311yescharacteristic
330C2×C22⋊C4×C47C2311yescharacteristic
331C2×C22⋊C4×C47C2311yescharacteristic
332C2×C22⋊C4×C47C2311yescharacteristic
333C2×C22⋊C4×C47C2311yescharacteristic
334C2×C22⋊C4×C47C2311yescharacteristic
335C2×C22⋊C4×C47C2311yescharacteristic
336C2×C22⋊C4×C47C2311yescharacteristic
337C2×C22⋊C4×C47C2311yescharacteristic
338C2×C22⋊C4×C47C2311yescharacteristic
339C2×C22⋊C4×C47C2311yescharacteristic
340C2×C22⋊C4×C47C2311yescharacteristic
341C2×C22⋊C4×C47C2311yescharacteristic
342C2×C22⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C42×C47C2311yescharacteristic
357C2×C42×C47C2311yescharacteristic
358C2×C42×C47C2311yescharacteristic
359C2×C42×C47C2311yescharacteristic
360C2×C42×C47C2311yescharacteristic
361C2×C42×C47C2311yescharacteristic
362C2×C42×C47C2311yescharacteristic
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369#95×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376#95×C47C2311yescharacteristic
377#95×C47C2311yescharacteristic
378#95×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47—22no—
392C24×C47—22no—
393C24×C47—22no—
394C24×C47—22no—
395C24×C47—41no—
396C24×C47—41no—
397C24×C47—41no—
398C24×C47—41no—
399C24×C47—41no—
400C24×C47—41no—
401C24×C47—41no—
402C24×C47—41no—
403C24×C47—41no—
404C24×C47—41no—
405C24×C47C2411yescharacteristic
406C24×C47C2411yescharacteristic
407C24×C47C2411yescharacteristic
408C24×C47C2411yescharacteristic
409C24×C47C2411yescharacteristic
410C24×C47C2411yescharacteristic
411C24×C47C2411yescharacteristic
412C24×C47C2411yescharacteristic
413#41×C47—416no—
414C2×Q8×C47—22no—
415C2×Q8×C47—22no—
416C2×Q8×C47—22no—
417C2×Q8×C47—41no—
418C2×Q8×C47—41no—
419C2×Q8×C47—41no—
420C2×D4×C47—22no—
421C2×D4×C47—22no—
422C2×D4×C47—22no—
423C2×D4×C47—22no—
424C2×D4×C47—22no—
425C2×D4×C47—22no—
426C2×D4×C47—22no—
427C2×D4×C47—22no—
428C2×D4×C47—22no—
429C2×D4×C47—22no—
430C2×D4×C47—22no—
431C2×D4×C47—22no—
432C2×D4×C47—22no—
433C2×D4×C47—22no—
434C2×D4×C47—22no—
435C2×D4×C47—22no—
436C2×D4×C47—22no—
437C2×D4×C47—22no—
438C2×D4×C47—22no—
439C2×D4×C47—22no—
440C2×D4×C47—22no—
441C2×D4×C47—22no—
442C2×D4×C47—22no—
443C2×D4×C47—41no—
444C2×D4×C47—41no—
445C2×D4×C47—41no—
446C2×D4×C47—41no—
447C2×D4×C47—41no—
448C2×D4×C47—41no—
449C2×D4×C47—41no—
450C2×D4×C47—41no—
451C2×D4×C47—41no—
452C2×D4×C47—41no—
453C2×D4×C47—41no—
454C2×D4×C47—41no—
455C2×D4×C47—41no—
456C2×D4×C47—41no—
457C2×D4×C47—41no—
458C2×D4×C47—41no—
459C2×D4×C47—41no—
460C2×D4×C47—41no—
461C2×D4×C47—41no—
462C2×D4×C47—41no—
463C2×D4×C47—41no—
464C2×D4×C47—41no—
465C2×D4×C47—41no—
466C2×D4×C47—41no—
467C2×D4×C47—41no—
468C2×D4×C47—41no—
469C2×D4×C47—41no—
470C2×D4×C47—41no—
471C2×D4×C47—41no—
472C2×D4×C47—41no—
473C2×D4×C47—41no—
474C2×D4×C47—41no—
475C2×D4×C47—41no—
476C2×D4×C47—41no—
477C2×D4×C47—41no—
478C2×D4×C47—41no—
479C2×D4×C47—41no—
480C2×D4×C47—41no—
481C2×D4×C47—41no—
482C2×D4×C47—41no—
483C2×D4×C47—41no—
484C2×D4×C47—41no—
485C2×D4×C47C2×D414yes—
486C22×C4×C47—22no—
487C22×C4×C47—22no—
488C22×C4×C47—22no—
489C22×C4×C47—22no—
490C22×C4×C47—22no—
491C22×C4×C47—22no—
492C22×C4×C47—22no—
493C22×C4×C47—22no—
494C22×C4×C47—22no—
495C22×C4×C47—22no—
496C22×C4×C47—22no—
497C22×C4×C47—22no—
498C22×C4×C47—22no—
499C22×C4×C47—41no—
500C22×C4×C47—41no—
501C22×C4×C47—41no—
502C22×C4×C47—41no—
503C22×C4×C47—41no—
504C22×C4×C47—41no—
505C22×C4×C47—41no—
506C22×C4×C47—41no—
507C22×C4×C47—41no—
508C22×C4×C47—41no—
509C22×C4×C47—41no—
510C22×C4×C47—41no—
511C22×C4×C47—41no—
512C22×C4×C47—41no—
513C22×C4×C47—41no—
514C22×C4×C47—416no—
515C22×C4×C47C2×D414yes—
516C22×C4×C47C2×D414yes—
517C22×C4×C47C2411yescharacteristic
518C22×C4×C47C2411yescharacteristic
519C22×C4×C47C2411yescharacteristic
520C22×C4×C47C2411yescharacteristic
521C22×C4×C47C2411yescharacteristic
522C22×C4×C47C2411yescharacteristic
523C22×C4×C47C2411yescharacteristic
524C22×C4×C47C2411yescharacteristic
525C22×C4×C47C2411yescharacteristic
526C22×C4×C47C2411yescharacteristic
527C22×C4×C47C2411yescharacteristic
528C22×C4×C47C2411yescharacteristic
529C22×C4×C47C2411yescharacteristic
530C22×C4×C47C2411yescharacteristic
531C22×C4×C47C2411yescharacteristic
532C22×C4×C47C2411yescharacteristic
533C22×C4×C47C2411yescharacteristic
534C22×C4×C47C2411yescharacteristic
535C22×C4×C47C2411yescharacteristic
536C22×C4×C47C2411yescharacteristic
537C22×C4×C47C2411yescharacteristic
538C22×C4×C47C2411yescharacteristic
539C22×C4×C47C2411yescharacteristic
540C4⋊C4×C47—22no—
541C4⋊C4×C47—22no—
542C4⋊C4×C47—22no—
543C4⋊C4×C47—22no—
544C4⋊C4×C47—22no—
545C4⋊C4×C47—22no—
546C4⋊C4×C47—22no—
547C4⋊C4×C47—22no—
548C4⋊C4×C47—22no—
549C4⋊C4×C47—22no—
550C4⋊C4×C47—22no—
551C4⋊C4×C47—41no—
552C4⋊C4×C47—41no—
553C4⋊C4×C47—41no—
554C4⋊C4×C47—41no—
555C4⋊C4×C47—41no—
556C4⋊C4×C47—41no—
557C4⋊C4×C47—41no—
558C4⋊C4×C47—41no—
559C4⋊C4×C47—41no—
560C4⋊C4×C47—41no—
561C4⋊C4×C47—41no—
562C4⋊C4×C47—41no—
563C4⋊C4×C47C2×D414yes—
564C22⋊C4×C47—22no—
565C22⋊C4×C47—22no—
566C22⋊C4×C47—22no—
567C22⋊C4×C47—22no—
568C22⋊C4×C47—22no—
569C22⋊C4×C47—22no—
570C22⋊C4×C47—22no—
571C22⋊C4×C47—22no—
572C22⋊C4×C47—22no—
573C22⋊C4×C47—22no—
574C22⋊C4×C47—22no—
575C22⋊C4×C47—22no—
576C22⋊C4×C47—22no—
577C22⋊C4×C47—22no—
578C22⋊C4×C47—22no—
579C22⋊C4×C47—22no—
580C22⋊C4×C47—22no—
581C22⋊C4×C47—22no—
582C22⋊C4×C47—22no—
583C22⋊C4×C47—22no—
584C22⋊C4×C47—22no—
585C22⋊C4×C47—22no—
586C22⋊C4×C47—22no—
587C22⋊C4×C47—22no—
588C22⋊C4×C47—22no—
589C22⋊C4×C47—22no—
590C22⋊C4×C47—22no—
591C22⋊C4×C47—41no—
592C22⋊C4×C47—41no—
593C22⋊C4×C47—41no—
594C22⋊C4×C47—41no—
595C22⋊C4×C47—41no—
596C22⋊C4×C47—41no—
597C22⋊C4×C47—41no—
598C22⋊C4×C47—41no—
599C22⋊C4×C47—41no—
600C22⋊C4×C47—41no—
601C22⋊C4×C47—41no—
602C22⋊C4×C47—41no—
603C22⋊C4×C47—41no—
604C22⋊C4×C47—41no—
605C22⋊C4×C47—41no—
606C22⋊C4×C47—41no—
607C22⋊C4×C47—41no—
608C22⋊C4×C47—41no—
609C22⋊C4×C47—41no—
610C22⋊C4×C47—41no—
611C22⋊C4×C47—41no—
612C22⋊C4×C47—41no—
613C22⋊C4×C47—41no—
614C22⋊C4×C47—41no—
615C22⋊C4×C47—41no—
616C22⋊C4×C47—41no—
617C22⋊C4×C47—41no—
618C22⋊C4×C47—41no—
619C22⋊C4×C47—41no—
620C22⋊C4×C47—41no—
621C22⋊C4×C47—41no—
622C22⋊C4×C47C2×D414yes—
623C22⋊C4×C47C2×D414yes—
624C42×C47—22no—
625C42×C47—22no—
626C42×C47—41no—
627C42×C47—41no—
628C42×C47—41no—
629C42×C47—41no—
630C42×C47C2×D414yes—
631C23×C47—21no—
632C23×C47—21no—
633C23×C47—21no—
634C23×C47—21no—
635C23×C47—21no—
636C23×C47—21no—
637C23×C47—21no—
638C23×C47—21no—
639C23×C47—21no—
640C23×C47—21no—
641C23×C47—21no—
642C23×C47—21no—
643C23×C47—21no—
644C23×C47—21no—
645C23×C47—21no—
646C23×C47—21no—
647C23×C47—21no—
648C23×C47—21no—
649C23×C47—21no—
650C23×C47—21no—
651C23×C47—21no—
652C23×C47—21no—
653C23×C47—21no—
654C23×C47—21no—
655C23×C47—21no—
656C23×C47—21no—
657C23×C47—21no—
658C23×C47—21no—
659C23×C47—21no—
660C23×C47—21no—
661C23×C47—21no—
662C23×C47—21no—
663C23×C47—21no—
664C23×C47—21no—
665C23×C47—21no—
666C23×C47—21no—
667C23×C47—21no—
668C23×C47—21no—
669C23×C47—21no—
670C23×C47—21no—
671C23×C47—21no—
672C23×C47—21no—
673C23×C47—21no—
674C23×C47—21no—
675C23×C47—21no—
676C23×C47—21no—
677C23×C47—21no—
678C23×C47—21no—
679C23×C47—21no—
680C23×C47—21no—
681C23×C47—21no—
682C23×C47—21no—
683C23×C47—44no—
684C23×C47—44no—
685C23×C47—44no—
686C23×C47—44no—
687C23×C47—44no—
688C23×C47—44no—
689C23×C47—44no—
690C23×C47—44no—
691C23×C47—82no—
692C23×C47—82no—
693C23×C47—82no—
694C23×C47—82no—
695C23×C47—82no—
696C23×C47—82no—
697C23×C47C22×D412yes—
698C23×C47C22×D412yes—
699C23×C47H(5,𝔽2)12yes—
700C23×C47H(5,𝔽2)12yes—
701C23×C47C2511yescharacteristic
702Q8×C47—44no—
703Q8×C47—82no—
704D4×C47—44no—
705D4×C47—44no—
706D4×C47—44no—
707D4×C47—44no—
708D4×C47—44no—
709D4×C47—44no—
710D4×C47—44no—
711D4×C47—44no—
712D4×C47—82no—
713D4×C47—82no—
714D4×C47—82no—
715D4×C47—82no—
716D4×C47—82no—
717D4×C47—82no—
718D4×C47—82no—
719D4×C47—82no—
720D4×C47—82no—
721D4×C47—82no—
722D4×C47—82no—
723D4×C47—82no—
724D4×C47—82no—
725D4×C47—82no—
726C2×C4×C47—28no—
727C2×C4×C47—21no—
728C2×C4×C47—21no—
729C2×C4×C47—21no—
730C2×C4×C47—21no—
731C2×C4×C47—21no—
732C2×C4×C47—21no—
733C2×C4×C47—21no—
734C2×C4×C47—21no—
735C2×C4×C47—21no—
736C2×C4×C47—21no—
737C2×C4×C47—21no—
738C2×C4×C47—21no—
739C2×C4×C47—21no—
740C2×C4×C47—21no—
741C2×C4×C47—21no—
742C2×C4×C47—21no—
743C2×C4×C47—21no—
744C2×C4×C47—21no—
745C2×C4×C47—21no—
746C2×C4×C47—21no—
747C2×C4×C47—21no—
748C2×C4×C47—21no—
749C2×C4×C47—21no—
750C2×C4×C47—21no—
751C2×C4×C47—21no—
752C2×C4×C47—21no—
753C2×C4×C47—21no—
754C2×C4×C47—21no—
755C2×C4×C47—21no—
756C2×C4×C47—21no—
757C2×C4×C47—21no—
758C2×C4×C47—21no—
759C2×C4×C47—21no—
760C2×C4×C47—21no—
761C2×C4×C47—21no—
762C2×C4×C47—21no—
763C2×C4×C47—21no—
764C2×C4×C47—21no—
765C2×C4×C47—21no—
766C2×C4×C47—21no—
767C2×C4×C47—21no—
768C2×C4×C47—21no—
769C2×C4×C47—21no—
770C2×C4×C47—21no—
771C2×C4×C47—21no—
772C2×C4×C47—21no—
773C2×C4×C47—21no—
774C2×C4×C47—21no—
775C2×C4×C47—21no—
776C2×C4×C47—21no—
777C2×C4×C47—21no—
778C2×C4×C47—21no—
779C2×C4×C47—21no—
780C2×C4×C47—21no—
781C2×C4×C47—21no—
782C2×C4×C47—21no—
783C2×C4×C47—21no—
784C2×C4×C47—21no—
785C2×C4×C47—21no—
786C2×C4×C47—21no—
787C2×C4×C47—21no—
788C2×C4×C47—21no—
789C2×C4×C47—21no—
790C2×C4×C47—44no—
791C2×C4×C47—44no—
792C2×C4×C47—44no—
793C2×C4×C47—44no—
794C2×C4×C47—44no—
795C2×C4×C47—44no—
796C2×C4×C47—44no—
797C2×C4×C47—82no—
798C2×C4×C47—82no—
799C2×C4×C47C22×D412yes—
800C2×C4×C47C22×D412yes—
801C2×C4×C47C22×D412yes—
802C2×C4×C47C22×D412yes—
803C2×C4×C47C22×D412yes—
804C2×C4×C47H(5,𝔽2)12yes—
805#36724C4711yesmaximal, characteristic, direct product factor, Sylow
806C22×C47—22no—
807C22×C47—22no—
808C22×C47—22no—
809C22×C47—22no—
810C22×C47—22no—
811C22×C47—22no—
812C22×C47—22no—
813C22×C47—22no—
814C22×C47—22no—
815C22×C47—22no—
816C22×C47—22no—
817C22×C47—22no—
818C22×C47—416no—
819C22×C47—41no—
820C22×C47—41no—
821C22×C47—41no—
822C22×C47—41no—
823C22×C47—41no—
824C22×C47—41no—
825C22×C47—41no—
826C22×C47—41no—
827C22×C47—41no—
828C22×C47—41no—
829C22×C47—41no—
830C22×C47—41no—
831C22×C47—41no—
832C22×C47—41no—
833C22×C47—41no—
834C22×C47—41no—
835C22×C47—41no—
836C22×C47—41no—
837C22×C47—41no—
838C22×C47—41no—
839C22×C47—41no—
840C22×C47—41no—
841C22×C47—41no—
842C22×C47—41no—
843C22×C47—41no—
844C22×C47—41no—
845C22×C47—41no—
846C22×C47—41no—
847C22×C47—41no—
848C22×C47—41no—
849C22×C47—41no—
850C22×C47—41no—
851C22×C47—41no—
852C22×C47—41no—
853C22×C47—41no—
854C22×C47—41no—
855C22×C47—41no—
856C22×C47—41no—
857C22×C47—41no—
858C22×C47—41no—
859C22×C47—41no—
860C22×C47—41no—
861C22×C47—41no—
862C22×C47—41no—
863C22×C47—88no—
864C22×C47C23×D411yescharacteristic
865C22×C47C2×H(5,𝔽2)11yescharacteristic
866C22×C47C2×H(5,𝔽2)11yescharacteristic
867C22×C47C2×H(5,𝔽2)11yescharacteristic
868C22×C47#58511yescharacteristic
869C22×C47#58511yescharacteristic
870C22×C47#58511yescharacteristic
871C4×C47—22no—
872C4×C47—22no—
873C4×C47—22no—
874C4×C47—22no—
875C4×C47—22no—
876C4×C47—22no—
877C4×C47—41no—
878C4×C47—41no—
879C4×C47—41no—
880C4×C47—41no—
881C4×C47—41no—
882C4×C47—41no—
883C4×C47—41no—
884C4×C47—41no—
885C4×C47—41no—
886C4×C47—41no—
887C4×C47—41no—
888C4×C47—41no—
889C4×C47—41no—
890C4×C47—41no—
891C4×C47—41no—
892C4×C47—41no—
893C4×C47—41no—
894C2×#538C2×C4711yescharacteristic, complemented
895C2×#525C2×C4711yescharacteristic, complemented
896#2849C2×C4711yescharacteristic, complemented
897#2847C2×C4711yescharacteristic, complemented
898#2705C2×C4711yescharacteristic, complemented
899#2702C2×C4711yescharacteristic, complemented
900#2700C2×C4711yescharacteristic, complemented
901#2699C2×C4711yescharacteristic, complemented
902#2687C2×C4711yescharacteristic, complemented
903#2682C2×C4711yescharacteristic, complemented
904#2681C2×C4711yescharacteristic, complemented
905#2681C2×C4711yescharacteristic, complemented
906#2679C2×C4711yescharacteristic, complemented
907#2678C2×C4711yescharacteristic, complemented
908#2678C2×C4711yescharacteristic, complemented
909#2678C2×C4711yescharacteristic, complemented
910#2672C2×C4711yescharacteristic, complemented
911#2670C2×C4711yescharacteristic, complemented
912#2669C2×C4711yescharacteristic, complemented
913#2669C2×C4711yescharacteristic, complemented
914#2635C2×C4711yescharacteristic, complemented
915#2630C2×C4711yescharacteristic, complemented
916#2610C2×C4711yescharacteristic, complemented
917#2603C2×C4711yescharacteristic, complemented
918#2601C2×C4711yescharacteristic, complemented
919#2600C2×C4711yescharacteristic, complemented
920#2544C2×C4711yescharacteristic, complemented
921#2534C2×C4711yescharacteristic, complemented
922#2407C2×C4711yescharacteristic, complemented
923#2404C2×C4711yescharacteristic, complemented
924#2319C2×C4711yescharacteristic, complemented
925C2×C47—42no—
926C2×C47—42no—
927C2×C47—42no—
928C2×C47—42no—
929C2×C47—81no—
930C2×C47—81no—
931C2×C47—81no—
932C2×C47—81no—
933C2×C47#344911yescharacteristic
934C2×C47#348411yescharacteristic
935C2×C47#348811yescharacteristic
936C2×C47#353311yescharacteristic
937C2×C47#353411yescharacteristic
938C2×C47#354011yescharacteristic
939C2×C47#354211yescharacteristic
940C22×#41C22×C4711yescharacteristic
941C24×C4C22×C4711yescharacteristic, complemented
942#538—28no—
943C2×#127C22×C4711yescharacteristic
944C2×#126C22×C4711yescharacteristic, complemented
945C2×#126C22×C4711yescharacteristic, complemented
946C2×#124C22×C4711yescharacteristic
947C2×#124C22×C4711yescharacteristic, complemented
948C2×#124C22×C4711yescharacteristic, complemented
949#525—28no—
950C2×#123C22×C4711yescharacteristic
951C2×#123C22×C4711yescharacteristic
952C2×#123C22×C4711yescharacteristic
953C2×#123C22×C4711yescharacteristic
954C2×#123C22×C4711yescharacteristic, complemented
955C2×#123C22×C4711yescharacteristic, complemented
956C2×C22⋊Q8C22×C4711yescharacteristic, complemented
957C2×C22⋊Q8C22×C4711yescharacteristic, complemented
958C2×C22⋊Q8C22×C4711yescharacteristic, complemented
959C2×C22⋊Q8C22×C4711yescharacteristic, complemented
960C2×#121C22×C4711yescharacteristic
961C2×#121C22×C4711yescharacteristic
962C2×#121C22×C4711yescharacteristic
963C2×#121C22×C4711yescharacteristic
964C2×#121C22×C4711yescharacteristic
965C2×#121C22×C4711yescharacteristic
966C2×#121C22×C4711yescharacteristic
967C2×#121C22×C4711yescharacteristic, complemented
968C2×#120C22×C4711yescharacteristic
969C2×#120C22×C4711yescharacteristic
970C2×#120C22×C4711yescharacteristic
971C2×#120C22×C4711yescharacteristic
972C2×#120C22×C4711yescharacteristic
973C2×#120C22×C4711yescharacteristic
974C2×#120C22×C4711yescharacteristic, complemented
975C2×#120C22×C4711yescharacteristic, complemented
976C2×#120C22×C4711yescharacteristic, complemented
977C2×#120C22×C4711yescharacteristic, complemented
978C2×C4×D4C22×C4711yescharacteristic
979C2×C4×D4C22×C4711yescharacteristic
980C2×C4×D4C22×C4711yescharacteristic, complemented
981C2×C4×D4C22×C4711yescharacteristic, complemented
982C2×C4×D4C22×C4711yescharacteristic, complemented
983C2×#117C22×C4711yescharacteristic, complemented
984C22×C22⋊C4C22×C4711yescharacteristic, complemented
985#400C22×C4711yescharacteristic, complemented
986#399C22×C4711yescharacteristic, complemented
987#398C22×C4711yescharacteristic, complemented
988#398C22×C4711yescharacteristic, complemented
989#398C22×C4711yescharacteristic, complemented
990#397C22×C4711yescharacteristic, complemented
991#397C22×C4711yescharacteristic, complemented
992#397C22×C4711yescharacteristic, complemented
993#396C22×C4711yescharacteristic, complemented
994#396C22×C4711yescharacteristic, complemented
995#396C22×C4711yescharacteristic, complemented
996#396C22×C4711yescharacteristic, complemented
997#396C22×C4711yescharacteristic, complemented
998#396C22×C4711yescharacteristic, complemented
999#395C22×C4711yescharacteristic, complemented
1000#394C22×C4711yescharacteristic
1001#394C22×C4711yescharacteristic
1002#394C22×C4711yescharacteristic
1003#394C22×C4711yescharacteristic
1004#394C22×C4711yescharacteristic
1005#394C22×C4711yescharacteristic
1006#394C22×C4711yescharacteristic
1007#394C22×C4711yescharacteristic
1008#394C22×C4711yescharacteristic, complemented
1009#394C22×C4711yescharacteristic, complemented
1010#394C22×C4711yescharacteristic, complemented
1011#394C22×C4711yescharacteristic, complemented
1012#394C22×C4711yescharacteristic, complemented
1013#394C22×C4711yescharacteristic, complemented
1014#394C22×C4711yescharacteristic, complemented
1015#394C22×C4711yescharacteristic, complemented
1016#394C22×C4711yescharacteristic, complemented
1017#394C22×C4711yescharacteristic, complemented
1018#394C22×C4711yescharacteristic, complemented
1019#393C22×C4711yescharacteristic, complemented
1020#393C22×C4711yescharacteristic, complemented
1021#393C22×C4711yescharacteristic, complemented
1022#392C22×C4711yescharacteristic
1023#392C22×C4711yescharacteristic
1024#392C22×C4711yescharacteristic
1025#392C22×C4711yescharacteristic
1026#392C22×C4711yescharacteristic
1027#392C22×C4711yescharacteristic
1028#392C22×C4711yescharacteristic
1029#392C22×C4711yescharacteristic
1030#392C22×C4711yescharacteristic, complemented
1031#392C22×C4711yescharacteristic, complemented
1032#392C22×C4711yescharacteristic, complemented
1033#391C22×C4711yescharacteristic, complemented
1034#391C22×C4711yescharacteristic, complemented
1035#390C22×C4711yescharacteristic
1036#390C22×C4711yescharacteristic
1037#390C22×C4711yescharacteristic
1038#390C22×C4711yescharacteristic
1039#390C22×C4711yescharacteristic
1040#390C22×C4711yescharacteristic, complemented
1041#390C22×C4711yescharacteristic, complemented
1042#390C22×C4711yescharacteristic, complemented
1043#390C22×C4711yescharacteristic, complemented
1044#389C22×C4711yescharacteristic, complemented
1045#389C22×C4711yescharacteristic, complemented
1046#389C22×C4711yescharacteristic, complemented
1047#388C22×C4711yescharacteristic, complemented
1048#388C22×C4711yescharacteristic, complemented
1049#388C22×C4711yescharacteristic, complemented
1050#388C22×C4711yescharacteristic, complemented
1051#388C22×C4711yescharacteristic, complemented
1052#388C22×C4711yescharacteristic, complemented
1053#388C22×C4711yescharacteristic, complemented
1054#388C22×C4711yescharacteristic, complemented
1055#388C22×C4711yescharacteristic, complemented
1056#388C22×C4711yescharacteristic, complemented
1057#388C22×C4711yescharacteristic, complemented
1058#388C22×C4711yescharacteristic, complemented
1059#388C22×C4711yescharacteristic, complemented
1060#388C22×C4711yescharacteristic, complemented
1061#387C22×C4711yescharacteristic, complemented
1062#387C22×C4711yescharacteristic, complemented
1063#386C22×C4711yescharacteristic
1064#386C22×C4711yescharacteristic
1065#386C22×C4711yescharacteristic
1066#386C22×C4711yescharacteristic
1067#386C22×C4711yescharacteristic
1068#386C22×C4711yescharacteristic
1069#386C22×C4711yescharacteristic
1070#386C22×C4711yescharacteristic
1071#386C22×C4711yescharacteristic, complemented
1072#386C22×C4711yescharacteristic, complemented
1073#386C22×C4711yescharacteristic, complemented
1074#386C22×C4711yescharacteristic, complemented
1075#386C22×C4711yescharacteristic, complemented
1076#386C22×C4711yescharacteristic, complemented
1077#386C22×C4711yescharacteristic, complemented
1078#386C22×C4711yescharacteristic, complemented
1079#385C22×C4711yescharacteristic, complemented
1080#385C22×C4711yescharacteristic, complemented
1081#385C22×C4711yescharacteristic, complemented
1082#385C22×C4711yescharacteristic, complemented
1083#385C22×C4711yescharacteristic, complemented
1084#385C22×C4711yescharacteristic, complemented
1085#381C22×C4711yescharacteristic, complemented
1086#381C22×C4711yescharacteristic, complemented
1087#381C22×C4711yescharacteristic, complemented
1088#381C22×C4711yescharacteristic, complemented
1089#380C22×C4711yescharacteristic, complemented
1090#380C22×C4711yescharacteristic, complemented
1091#380C22×C4711yescharacteristic, complemented
1092#380C22×C4711yescharacteristic, complemented
1093#379C22×C4711yescharacteristic, complemented
1094#379C22×C4711yescharacteristic, complemented
1095C4×C4⋊C4C22×C4711yescharacteristic, complemented
1096#376C22×C4711yescharacteristic, complemented
1097C47#3672411yescharacteristic, direct product factor, Sylow
1098C25C23×C4711yescharacteristic
1099C25C23×C4711yescharacteristic
1100C2×#41—24no—
1101C2×#41—42no—
1102C2×#41—42no—
1103C22×Q8C23×C4711yescharacteristic
1104C22×Q8C23×C4711yescharacteristic
1105C22×D4C23×C4711yescharacteristic
1106C22×D4C23×C4711yescharacteristic
1107C22×D4C23×C4711yescharacteristic
1108C22×D4C23×C4711yescharacteristic
1109C22×D4C23×C4711yescharacteristic
1110C22×D4C23×C4711yescharacteristic
1111C22×D4C23×C4711yescharacteristic
1112C22×D4C23×C4711yescharacteristic
1113C22×D4C23×C4711yescharacteristic
1114C22×D4C23×C4711yescharacteristic
1115C22×D4C23×C4711yescharacteristic
1116C22×D4C23×C4711yescharacteristic
1117C22×D4C23×C4711yescharacteristic
1118C22×D4C23×C4711yescharacteristic
1119C22×D4C23×C4711yescharacteristic
1120C22×D4C23×C4711yescharacteristic
1121C22×D4C23×C4711yescharacteristic
1122C22×D4C23×C4711yescharacteristic
1123C22×D4C23×C4711yescharacteristic
1124C22×D4C23×C4711yescharacteristic
1125C22×D4C23×C4711yescharacteristic
1126C22×D4C23×C4711yescharacteristic
1127C23×C4—24no—
1128C23×C4—42no—
1129C23×C4—42no—
1130C23×C4C23×C4711yescharacteristic
1131C23×C4C23×C4711yescharacteristic
1132C23×C4C23×C4711yescharacteristic
1133C23×C4C23×C4711yescharacteristic
1134C23×C4C23×C4711yescharacteristic
1135C23×C4C23×C4711yescharacteristic
1136C23×C4C23×C4711yescharacteristic
1137C23×C4C23×C4711yescharacteristic
1138C23×C4C23×C4711yescharacteristic
1139C23×C4C23×C4711yescharacteristic
1140#127—42no—
1141#126—24no—
1142#126—24no—
1143#124—24no—
1144#124—24no—
1145#124—42no—
1146#123—24no—
1147#123—24no—
1148#123—24no—
1149#123—24no—
1150#123—42no—
1151#123—42no—
1152C22⋊Q8—24no—
1153C22⋊Q8—24no—
1154C22⋊Q8—24no—
1155C22⋊Q8—42no—
1156#121—24no—
1157#121—24no—
1158#121—24no—
1159#121—24no—
1160#121—24no—
1161#121—42no—
1162#121—42no—
1163#121—42no—
1164#120—24no—
1165#120—24no—
1166#120—24no—
1167#120—24no—
1168#120—42no—
1169#120—42no—
1170#120—42no—
1171#120—42no—
1172#120—42no—
1173#120—42no—
1174C4×D4—24no—
1175C4×D4—24no—
1176C4×D4—24no—
1177C4×D4—24no—
1178C4×D4D4×C4718yescomplemented
1179#117—24no—
1180C2×C4⋊C4C23×C4711yescharacteristic
1181C2×C4⋊C4C23×C4711yescharacteristic
1182C2×C4⋊C4C23×C4711yescharacteristic
1183C2×C4⋊C4C23×C4711yescharacteristic
1184C2×C4⋊C4C23×C4711yescharacteristic
1185C2×C4⋊C4C23×C4711yescharacteristic
1186C2×C4⋊C4C23×C4711yescharacteristic
1187C2×C4⋊C4C23×C4711yescharacteristic
1188C2×C4⋊C4C23×C4711yescharacteristic
1189C2×C4⋊C4C23×C4711yescharacteristic
1190C2×C4⋊C4C23×C4711yescharacteristic
1191C2×C4⋊C4C23×C4711yescharacteristic
1192C2×C4⋊C4C23×C4711yescharacteristic
1193C2×C4⋊C4C23×C4711yescharacteristic
1194C2×C4⋊C4C23×C4711yescharacteristic
1195C2×C4⋊C4C23×C4711yescharacteristic
1196C2×C4⋊C4C23×C4711yescharacteristic
1197C2×C4⋊C4C23×C4711yescharacteristic
1198C2×C4⋊C4C23×C4711yescharacteristic
1199C2×C4⋊C4C23×C4711yescharacteristic
1200C2×C4⋊C4C23×C4711yescharacteristic
1201C2×C4⋊C4C23×C4711yescharacteristic
1202C2×C4⋊C4C23×C4711yescharacteristic
1203C2×C4⋊C4C23×C4711yescharacteristic
1204C2×C22⋊C4—24no—
1205C2×C22⋊C4C23×C4711yescharacteristic
1206C2×C22⋊C4C23×C4711yescharacteristic
1207C2×C22⋊C4C23×C4711yescharacteristic
1208C2×C22⋊C4C23×C4711yescharacteristic
1209C2×C22⋊C4C23×C4711yescharacteristic
1210C2×C22⋊C4C23×C4711yescharacteristic
1211C2×C22⋊C4C23×C4711yescharacteristic
1212C2×C22⋊C4C23×C4711yescharacteristic
1213C2×C22⋊C4C23×C4711yescharacteristic
1214C2×C22⋊C4C23×C4711yescharacteristic
1215C2×C22⋊C4C23×C4711yescharacteristic
1216C2×C22⋊C4C23×C4711yescharacteristic
1217C2×C22⋊C4C23×C4711yescharacteristic
1218C2×C22⋊C4C23×C4711yescharacteristic
1219C2×C22⋊C4C23×C4711yescharacteristic
1220C2×C22⋊C4C23×C4711yescharacteristic
1221C2×C22⋊C4C23×C4711yescharacteristic
1222C2×C22⋊C4C23×C4711yescharacteristic
1223C2×C22⋊C4C23×C4711yescharacteristic
1224C2×C22⋊C4C23×C4711yescharacteristic
1225C2×C22⋊C4C23×C4711yescharacteristic
1226C2×C22⋊C4C23×C4711yescharacteristic
1227C2×C22⋊C4C23×C4711yescharacteristic
1228C2×C22⋊C4C23×C4711yescharacteristic
1229C2×C22⋊C4C23×C4711yescharacteristic
1230C2×C22⋊C4C23×C4711yescharacteristic
1231C2×C22⋊C4C23×C4711yescharacteristic
1232C2×C22⋊C4C23×C4711yescharacteristic
1233C2×C22⋊C4C23×C4711yescharacteristic
1234C2×C22⋊C4C23×C4711yescharacteristic
1235C2×C22⋊C4C23×C4711yescharacteristic
1236C2×C22⋊C4C23×C4711yescharacteristic
1237C2×C22⋊C4C23×C4711yescharacteristic
1238C2×C22⋊C4C23×C4711yescharacteristic
1239C2×C22⋊C4C23×C4711yescharacteristic
1240C2×C22⋊C4C23×C4711yescharacteristic
1241C2×C22⋊C4C23×C4711yescharacteristic
1242C2×C22⋊C4C23×C4711yescharacteristic
1243C2×C22⋊C4C23×C4711yescharacteristic
1244C2×C22⋊C4C23×C4711yescharacteristic
1245C2×C22⋊C4C23×C4711yescharacteristic
1246C2×C22⋊C4C23×C4711yescharacteristic
1247C2×C22⋊C4C23×C4711yescharacteristic
1248C2×C22⋊C4C23×C4711yescharacteristic
1249C2×C22⋊C4C23×C4711yescharacteristic
1250C2×C22⋊C4C23×C4711yescharacteristic
1251C2×C22⋊C4C23×C4711yescharacteristic
1252C2×C22⋊C4C23×C4711yescharacteristic
1253C2×C22⋊C4C23×C4711yescharacteristic
1254C2×C22⋊C4C23×C4711yescharacteristic
1255C2×C22⋊C4C23×C4711yescharacteristic
1256C2×C22⋊C4C23×C4711yescharacteristic
1257C2×C22⋊C4C23×C4711yescharacteristic
1258C2×C22⋊C4C23×C4711yescharacteristic
1259C2×C22⋊C4C23×C4711yescharacteristic
1260C2×C22⋊C4C23×C4711yescharacteristic
1261C2×C22⋊C4C23×C4711yescharacteristic
1262C2×C22⋊C4C23×C4711yescharacteristic
1263C2×C22⋊C4C23×C4711yescharacteristic
1264C2×C22⋊C4C23×C4711yescharacteristic
1265C2×C42C23×C4711yescharacteristic
1266C2×C42C23×C4711yescharacteristic
1267C2×C42C23×C4711yescharacteristic
1268C2×C42C23×C4711yescharacteristic
1269C2×C42C23×C4711yescharacteristic
1270C2×C42C23×C4711yescharacteristic
1271C2×C42C23×C4711yescharacteristic
1272#95C23×C4711yescharacteristic
1273#95C23×C4711yescharacteristic
1274#95C23×C4711yescharacteristic
1275#95C23×C4711yescharacteristic
1276#95C23×C4711yescharacteristic
1277#95C23×C4711yescharacteristic
1278#95C23×C4711yescharacteristic
1279#95C23×C4711yescharacteristic
1280#95C23×C4711yescharacteristic
1281#95C23×C4711yescharacteristic
1282#95C23×C4711yescharacteristic
1283#95C23×C4711yescharacteristic
1284#95C23×C4711yescharacteristic
1285#95C23×C4711yescharacteristic
1286#95C23×C4711yescharacteristic
1287#95C23×C4711yescharacteristic
1288#95C23×C4711yescharacteristic
1289#95C23×C4711yescharacteristic
1290#95C23×C4711yescharacteristic
1291#95C23×C4711yescharacteristic
1292#95C23×C4711yescharacteristic
1293#95C23×C4711yescharacteristic
1294#95C23×C4711yescharacteristic
1295#95C23×C4711yescharacteristic
1296#95C23×C4711yescharacteristic
1297#95C23×C4711yescharacteristic
1298#95C23×C4711yescharacteristic
1299#95C23×C4711yescharacteristic
1300C24—22no—
1301C24—22no—
1302C24—22no—
1303C24—22no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—41no—
1308C24—41no—
1309C24—41no—
1310C24—41no—
1311C24—41no—
1312C24—41no—
1313C24—41no—
1314C24C24×C4711yescharacteristic
1315C24C24×C4711yescharacteristic
1316C24C24×C4711yescharacteristic
1317C24C24×C4711yescharacteristic
1318C24C24×C4711yescharacteristic
1319C24C24×C4711yescharacteristic
1320C24C24×C4711yescharacteristic
1321C24C24×C4711yescharacteristic
1322#41—416no—
1323C2×Q8—22no—
1324C2×Q8—22no—
1325C2×Q8—22no—
1326C2×Q8—41no—
1327C2×Q8—41no—
1328C2×Q8—41no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—41no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4C2×D4×C4714yes—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—41no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—41no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—41no—
1423C22×C4—416no—
1424C22×C4C2×D4×C4714yes—
1425C22×C4C2×D4×C4714yes—
1426C22×C4C24×C4711yescharacteristic
1427C22×C4C24×C4711yescharacteristic
1428C22×C4C24×C4711yescharacteristic
1429C22×C4C24×C4711yescharacteristic
1430C22×C4C24×C4711yescharacteristic
1431C22×C4C24×C4711yescharacteristic
1432C22×C4C24×C4711yescharacteristic
1433C22×C4C24×C4711yescharacteristic
1434C22×C4C24×C4711yescharacteristic
1435C22×C4C24×C4711yescharacteristic
1436C22×C4C24×C4711yescharacteristic
1437C22×C4C24×C4711yescharacteristic
1438C22×C4C24×C4711yescharacteristic
1439C22×C4C24×C4711yescharacteristic
1440C22×C4C24×C4711yescharacteristic
1441C22×C4C24×C4711yescharacteristic
1442C22×C4C24×C4711yescharacteristic
1443C22×C4C24×C4711yescharacteristic
1444C22×C4C24×C4711yescharacteristic
1445C22×C4C24×C4711yescharacteristic
1446C22×C4C24×C4711yescharacteristic
1447C22×C4C24×C4711yescharacteristic
1448C22×C4C24×C4711yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—41no—
1461C4⋊C4—41no—
1462C4⋊C4—41no—
1463C4⋊C4—41no—
1464C4⋊C4—41no—
1465C4⋊C4—41no—
1466C4⋊C4—41no—
1467C4⋊C4—41no—
1468C4⋊C4—41no—
1469C4⋊C4—41no—
1470C4⋊C4—41no—
1471C4⋊C4—41no—
1472C4⋊C4C2×D4×C4714yes—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—41no—
1507C22⋊C4—41no—
1508C22⋊C4—41no—
1509C22⋊C4—41no—
1510C22⋊C4—41no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—41no—
1525C22⋊C4—41no—
1526C22⋊C4—41no—
1527C22⋊C4—41no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4C2×D4×C4714yes—
1532C22⋊C4C2×D4×C4714yes—
1533C42—22no—
1534C42—22no—
1535C42—41no—
1536C42—41no—
1537C42—41no—
1538C42—41no—
1539C42C2×D4×C4714yes—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—44no—
1593C23—44no—
1594C23—44no—
1595C23—44no—
1596C23—44no—
1597C23—44no—
1598C23—44no—
1599C23—44no—
1600C23—82no—
1601C23—82no—
1602C23—82no—
1603C23—82no—
1604C23—82no—
1605C23—82no—
1606C23C22×D4×C4712yes—
1607C23C22×D4×C4712yes—
1608C23H(5,𝔽2)×C4712yes—
1609C23H(5,𝔽2)×C4712yes—
1610C23C25×C4711yescharacteristic
1611Q8—44no—
1612Q8—82no—
1613D4—44no—
1614D4—44no—
1615D4—44no—
1616D4—44no—
1617D4—44no—
1618D4—44no—
1619D4—44no—
1620D4—44no—
1621D4—82no—
1622D4—82no—
1623D4—82no—
1624D4—82no—
1625D4—82no—
1626D4—82no—
1627D4—82no—
1628D4—82no—
1629D4—82no—
1630D4—82no—
1631D4—82no—
1632D4—82no—
1633D4—82no—
1634D4—82no—
1635C2×C4—28no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—44no—
1700C2×C4—44no—
1701C2×C4—44no—
1702C2×C4—44no—
1703C2×C4—44no—
1704C2×C4—44no—
1705C2×C4—44no—
1706C2×C4—82no—
1707C2×C4—82no—
1708C2×C4C22×D4×C4712yes—
1709C2×C4C22×D4×C4712yes—
1710C2×C4C22×D4×C4712yes—
1711C2×C4C22×D4×C4712yes—
1712C2×C4C22×D4×C4712yes—
1713C2×C4H(5,𝔽2)×C4712yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—416no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—88no—
1772C22C23×D4×C4711yescharacteristic
1773C22C2×H(5,𝔽2)×C4711yescharacteristic
1774C22C2×H(5,𝔽2)×C4711yescharacteristic
1775C22C2×H(5,𝔽2)×C4711yescharacteristic
1776C22C47×#58511yescharacteristic
1777C22C47×#58511yescharacteristic
1778C22C47×#58511yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—22no—
1784C4—22no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C2—42no—
1803C2—42no—
1804C2—42no—
1805C2—42no—
1806C2—81no—
1807C2—81no—
1808C2—81no—
1809C2—81no—
1810C2C47×#344911yescharacteristic
1811C2C47×#348411yescharacteristic
1812C2C47×#348811yescharacteristic
1813C2C47×#353311yescharacteristic
1814C2C47×#353411yescharacteristic
1815C2C47×#354011yescharacteristic
1816C2C47×#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. C2×C47×#538C2semidirect
2. C2×C47×#525C2semidirect
3. C47×#2849C2semidirect
4. C47×#2847C2semidirect
5. C47×#2705C2semidirect
6. C47×#2702C2semidirect
7. C47×#2700C2semidirect
8. C47×#2699C2semidirect
9. C47×#2687C2semidirect
10. C47×#2682C2semidirect
11. C47×#2681C2semidirect
12. C47×#2681C2semidirect
13. C47×#2679C2semidirect
14. C47×#2678C2semidirect
15. C47×#2678C2semidirect
16. C47×#2678C2semidirect
17. C47×#2672C2semidirect
18. C47×#2670C2semidirect
19. C47×#2669C2semidirect
20. C47×#2669C2semidirect
21. C47×#2635C2semidirect
22. C47×#2630C2semidirect
23. C47×#2610C2semidirect
24. C47×#2603C2semidirect
25. C47×#2601C2semidirect
26. C47×#2600C2semidirect
27. C47×#2544C2semidirect
28. C47×#2534C2semidirect
29. C47×#2407C2semidirect
30. C47×#2404C2semidirect
31. C47×#2319C2semidirect
33. C24×C4×C47C22semidirect
36. C2×#126×C47C22semidirect
37. C2×#126×C47C22semidirect
39. C2×#124×C47C22semidirect
40. C2×#124×C47C22semidirect
46. C2×#123×C47C22semidirect
47. C2×#123×C47C22semidirect
48. C2×C22⋊Q8×C47C22semidirect
49. C2×C22⋊Q8×C47C22semidirect
50. C2×C22⋊Q8×C47C22semidirect
51. C2×C22⋊Q8×C47C22semidirect
59. C2×#121×C47C22semidirect
66. C2×#120×C47C22semidirect
67. C2×#120×C47C22semidirect
68. C2×#120×C47C22semidirect
69. C2×#120×C47C22semidirect
72. C2×C4×D4×C47C22semidirect
73. C2×C4×D4×C47C22semidirect
74. C2×C4×D4×C47C22semidirect
75. C2×#117×C47C22semidirect
76. C22×C22⋊C4×C47C22semidirect
77. C47×#400C22semidirect
78. C47×#399C22semidirect
79. C47×#398C22semidirect
80. C47×#398C22semidirect
81. C47×#398C22semidirect
82. C47×#397C22semidirect
83. C47×#397C22semidirect
84. C47×#397C22semidirect
85. C47×#396C22semidirect
86. C47×#396C22semidirect
87. C47×#396C22semidirect
88. C47×#396C22semidirect
89. C47×#396C22semidirect
90. C47×#396C22semidirect
91. C47×#395C22semidirect
100. C47×#394C22semidirect
101. C47×#394C22semidirect
102. C47×#394C22semidirect
103. C47×#394C22semidirect
104. C47×#394C22semidirect
105. C47×#394C22semidirect
106. C47×#394C22semidirect
107. C47×#394C22semidirect
108. C47×#394C22semidirect
109. C47×#394C22semidirect
110. C47×#394C22semidirect
111. C47×#393C22semidirect
112. C47×#393C22semidirect
113. C47×#393C22semidirect
122. C47×#392C22semidirect
123. C47×#392C22semidirect
124. C47×#392C22semidirect
125. C47×#391C22semidirect
126. C47×#391C22semidirect
132. C47×#390C22semidirect
133. C47×#390C22semidirect
134. C47×#390C22semidirect
135. C47×#390C22semidirect
136. C47×#389C22semidirect
137. C47×#389C22semidirect
138. C47×#389C22semidirect
139. C47×#388C22semidirect
140. C47×#388C22semidirect
141. C47×#388C22semidirect
142. C47×#388C22semidirect
143. C47×#388C22semidirect
144. C47×#388C22semidirect
145. C47×#388C22semidirect
146. C47×#388C22semidirect
147. C47×#388C22semidirect
148. C47×#388C22semidirect
149. C47×#388C22semidirect
150. C47×#388C22semidirect
151. C47×#388C22semidirect
152. C47×#388C22semidirect
153. C47×#387C22semidirect
154. C47×#387C22semidirect
163. C47×#386C22semidirect
164. C47×#386C22semidirect
165. C47×#386C22semidirect
166. C47×#386C22semidirect
167. C47×#386C22semidirect
168. C47×#386C22semidirect
169. C47×#386C22semidirect
170. C47×#386C22semidirect
171. C47×#385C22semidirect
172. C47×#385C22semidirect
173. C47×#385C22semidirect
174. C47×#385C22semidirect
175. C47×#385C22semidirect
176. C47×#385C22semidirect
177. C47×#381C22semidirect
178. C47×#381C22semidirect
179. C47×#381C22semidirect
180. C47×#381C22semidirect
181. C47×#380C22semidirect
182. C47×#380C22semidirect
183. C47×#380C22semidirect
184. C47×#380C22semidirect
185. C47×#379C22semidirect
186. C47×#379C22semidirect
187. C4×C4⋊C4×C47C22semidirect
188. C47×#376C22semidirect
269. C4×D4×C47D4semidirect
805. #36724C47direct (N × H)
894. C2×#538C2×C47semidirect
895. C2×#525C2×C47semidirect
896. #2849C2×C47semidirect
897. #2847C2×C47semidirect
898. #2705C2×C47semidirect
899. #2702C2×C47semidirect
900. #2700C2×C47semidirect
901. #2699C2×C47semidirect
902. #2687C2×C47semidirect
903. #2682C2×C47semidirect
904. #2681C2×C47semidirect
905. #2681C2×C47semidirect
906. #2679C2×C47semidirect
907. #2678C2×C47semidirect
908. #2678C2×C47semidirect
909. #2678C2×C47semidirect
910. #2672C2×C47semidirect
911. #2670C2×C47semidirect
912. #2669C2×C47semidirect
913. #2669C2×C47semidirect
914. #2635C2×C47semidirect
915. #2630C2×C47semidirect
916. #2610C2×C47semidirect
917. #2603C2×C47semidirect
918. #2601C2×C47semidirect
919. #2600C2×C47semidirect
920. #2544C2×C47semidirect
921. #2534C2×C47semidirect
922. #2407C2×C47semidirect
923. #2404C2×C47semidirect
924. #2319C2×C47semidirect
941. C24×C4C22×C47semidirect
944. C2×#126C22×C47semidirect
945. C2×#126C22×C47semidirect
947. C2×#124C22×C47semidirect
948. C2×#124C22×C47semidirect
954. C2×#123C22×C47semidirect
955. C2×#123C22×C47semidirect
956. C2×C22⋊Q8C22×C47semidirect
957. C2×C22⋊Q8C22×C47semidirect
958. C2×C22⋊Q8C22×C47semidirect
959. C2×C22⋊Q8C22×C47semidirect
967. C2×#121C22×C47semidirect
974. C2×#120C22×C47semidirect
975. C2×#120C22×C47semidirect
976. C2×#120C22×C47semidirect
977. C2×#120C22×C47semidirect
980. C2×C4×D4C22×C47semidirect
981. C2×C4×D4C22×C47semidirect
982. C2×C4×D4C22×C47semidirect
983. C2×#117C22×C47semidirect
984. C22×C22⋊C4C22×C47semidirect
985. #400C22×C47semidirect
986. #399C22×C47semidirect
987. #398C22×C47semidirect
988. #398C22×C47semidirect
989. #398C22×C47semidirect
990. #397C22×C47semidirect
991. #397C22×C47semidirect
992. #397C22×C47semidirect
993. #396C22×C47semidirect
994. #396C22×C47semidirect
995. #396C22×C47semidirect
996. #396C22×C47semidirect
997. #396C22×C47semidirect
998. #396C22×C47semidirect
999. #395C22×C47semidirect
1008. #394C22×C47semidirect
1009. #394C22×C47semidirect
1010. #394C22×C47semidirect
1011. #394C22×C47semidirect
1012. #394C22×C47semidirect
1013. #394C22×C47semidirect
1014. #394C22×C47semidirect
1015. #394C22×C47semidirect
1016. #394C22×C47semidirect
1017. #394C22×C47semidirect
1018. #394C22×C47semidirect
1019. #393C22×C47semidirect
1020. #393C22×C47semidirect
1021. #393C22×C47semidirect
1030. #392C22×C47semidirect
1031. #392C22×C47semidirect
1032. #392C22×C47semidirect
1033. #391C22×C47semidirect
1034. #391C22×C47semidirect
1040. #390C22×C47semidirect
1041. #390C22×C47semidirect
1042. #390C22×C47semidirect
1043. #390C22×C47semidirect
1044. #389C22×C47semidirect
1045. #389C22×C47semidirect
1046. #389C22×C47semidirect
1047. #388C22×C47semidirect
1048. #388C22×C47semidirect
1049. #388C22×C47semidirect
1050. #388C22×C47semidirect
1051. #388C22×C47semidirect
1052. #388C22×C47semidirect
1053. #388C22×C47semidirect
1054. #388C22×C47semidirect
1055. #388C22×C47semidirect
1056. #388C22×C47semidirect
1057. #388C22×C47semidirect
1058. #388C22×C47semidirect
1059. #388C22×C47semidirect
1060. #388C22×C47semidirect
1061. #387C22×C47semidirect
1062. #387C22×C47semidirect
1071. #386C22×C47semidirect
1072. #386C22×C47semidirect
1073. #386C22×C47semidirect
1074. #386C22×C47semidirect
1075. #386C22×C47semidirect
1076. #386C22×C47semidirect
1077. #386C22×C47semidirect
1078. #386C22×C47semidirect
1079. #385C22×C47semidirect
1080. #385C22×C47semidirect
1081. #385C22×C47semidirect
1082. #385C22×C47semidirect
1083. #385C22×C47semidirect
1084. #385C22×C47semidirect
1085. #381C22×C47semidirect
1086. #381C22×C47semidirect
1087. #381C22×C47semidirect
1088. #381C22×C47semidirect
1089. #380C22×C47semidirect
1090. #380C22×C47semidirect
1091. #380C22×C47semidirect
1092. #380C22×C47semidirect
1093. #379C22×C47semidirect
1094. #379C22×C47semidirect
1095. C4×C4⋊C4C22×C47semidirect
1096. #376C22×C47semidirect
1097. C47#36724direct (N × H)
1178. C4×D4D4×C47semidirect

Maximal subgroups

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

subgroupindex
C2×C47×#5382
C2×C47×#5252
C47×#28492
C47×#28472
C47×#27052
C47×#27022
C47×#27002
C47×#26992
C47×#26872
C47×#26822
C47×#26812
C47×#26792
C47×#26782
C47×#26722
C47×#26702
C47×#26692
C47×#26352
C47×#26302
C47×#26102
C47×#26032
C47×#26012
C47×#26002
C47×#25442
C47×#25342
C47×#24072
C47×#24042
C47×#23192
#3672447