Finite Group Databasebeta

← C47×#35066 #26074764

Subgroups — C47×#35066 #26074764

Order 12032.

1968 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#2866C211yesmaximal, characteristic, complemented
2C47×#2860C211yesmaximal, characteristic, complemented
3C47×#2853C211yesmaximal, characteristic, complemented
4C47×#2850C211yesmaximal, characteristic, complemented
5C47×#2651C211yesmaximal, characteristic, complemented
6C47×#2650C211yesmaximal, characteristic, complemented
7C47×#2649C211yesmaximal, characteristic, complemented
8C47×#2648C211yesmaximal, characteristic, complemented
9C47×#2597C211yesmaximal, characteristic, complemented
10C47×#2596C211yesmaximal, characteristic, complemented
11C47×#2560C211yesmaximal, characteristic, complemented
12C47×#2559C211yesmaximal, characteristic, complemented
13C47×#2529C211yesmaximal, characteristic, complemented
14C47×#2526C211yesmaximal, characteristic, complemented
15C47×#2505C211yesmaximal, characteristic, complemented
16C47×#2481C211yesmaximal, characteristic, complemented
17C47×#2480C211yesmaximal, characteristic, complemented
18C47×#2474C211yesmaximal, characteristic, complemented
19C47×#2472C211yesmaximal, characteristic, complemented
20C47×#2471C211yesmaximal, characteristic, complemented
21C47×#2449C211yesmaximal, characteristic, complemented
22C47×#2444C211yesmaximal, characteristic, complemented
23C47×#2424C211yesmaximal, characteristic
24C47×#2418C211yesmaximal, characteristic, complemented
25C47×#2329C211yesmaximal, characteristic, complemented
26C47×#2325C211yesmaximal, characteristic, complemented
27C47×#2321C211yesmaximal, characteristic, complemented
28C47×#2321C211yesmaximal, characteristic, complemented
29C47×#2290C211yesmaximal, characteristic, complemented
30C2×C47×#388C211yesmaximal, characteristic, complemented
31C42×D4×C47C211yesmaximal, characteristic, complemented
32C2×#126×C47C2211yescharacteristic
33C2×#126×C47C2211yescharacteristic, complemented
34C2×#124×C47C2211yescharacteristic
35C2×#123×C47C2211yescharacteristic
36C2×C22⋊Q8×C47C2211yescharacteristic
37C2×C22⋊Q8×C47C2211yescharacteristic, complemented
38C2×#121×C47C2211yescharacteristic
39C2×#121×C47C2211yescharacteristic
40C2×#120×C47C2211yescharacteristic
41C2×#120×C47C2211yescharacteristic
42C2×C4×D4×C47C2211yescharacteristic
43C2×C4×D4×C47C2211yescharacteristic
44C2×C4×D4×C47C2211yescharacteristic
45C2×C4×D4×C47C2211yescharacteristic
46C2×#117×C47C2211yescharacteristic, complemented
47C22×C4⋊C4×C47C2211yescharacteristic
48C22×C22⋊C4×C47C2211yescharacteristic
49C22×C22⋊C4×C47C2211yescharacteristic
50C22×C22⋊C4×C47C2211yescharacteristic
51C22×C42×C47C2211yescharacteristic
52C22×C42×C47C2211yescharacteristic, complemented
53C47×#400C2211yescharacteristic, complemented
54C47×#400C2211yescharacteristic, complemented
55C47×#400C2211yescharacteristic, complemented
56C47×#400C2211yescharacteristic, complemented
57C47×#400C2211yescharacteristic, complemented
58C47×#400C2211yescharacteristic, complemented
59C47×#399C2211yescharacteristic
60C47×#399C2211yescharacteristic, complemented
61C47×#398C2211yescharacteristic, complemented
62C47×#398C2211yescharacteristic, complemented
63C47×#397C2211yescharacteristic
64C47×#397C2211yescharacteristic
65C47×#397C2211yescharacteristic
66C47×#397C2211yescharacteristic
67C47×#397C2211yescharacteristic
68C47×#397C2211yescharacteristic, complemented
69C47×#397C2211yescharacteristic, complemented
70C47×#397C2211yescharacteristic, complemented
71C47×#396C2211yescharacteristic
72C47×#396C2211yescharacteristic
73C47×#396C2211yescharacteristic, complemented
74C47×#396C2211yescharacteristic, complemented
75C47×#395C2211yescharacteristic, complemented
76C47×#394C2211yescharacteristic
77C47×#394C2211yescharacteristic
78C47×#394C2211yescharacteristic
79C47×#394C2211yescharacteristic
80C47×#394C2211yescharacteristic
81C47×#394C2211yescharacteristic
82C47×#394C2211yescharacteristic, complemented
83C47×#393C2211yescharacteristic
84C47×#392C2211yescharacteristic
85C47×#391C2211yescharacteristic, complemented
86C47×#391C2211yescharacteristic, complemented
87C47×#390C2211yescharacteristic
88C47×#390C2211yescharacteristic
89C47×#390C2211yescharacteristic
90C47×#390C2211yescharacteristic
91C47×#390C2211yescharacteristic
92C47×#390C2211yescharacteristic
93C47×#389C2211yescharacteristic, complemented
94C47×#389C2211yescharacteristic, complemented
95C47×#389C2211yescharacteristic, complemented
96C47×#389C2211yescharacteristic, complemented
97C47×#388C2211yescharacteristic
98C47×#388C2211yescharacteristic
99C47×#388C2211yescharacteristic
100C47×#388C2211yescharacteristic
101C47×#388C2211yescharacteristic
102C47×#388C2211yescharacteristic
103C47×#388C2211yescharacteristic
104C47×#388C2211yescharacteristic
105C47×#388C2211yescharacteristic
106C47×#388C2211yescharacteristic
107C47×#388C2211yescharacteristic
108C47×#388C2211yescharacteristic
109C47×#388C2211yescharacteristic
110C47×#388C2211yescharacteristic
111C47×#388C2211yescharacteristic
112C47×#388C2211yescharacteristic
113C47×#388C2211yescharacteristic
114C47×#388C2211yescharacteristic
115C47×#388C2211yescharacteristic
116C47×#388C2211yescharacteristic
117C47×#388C2211yescharacteristic
118C47×#388C2211yescharacteristic
119C47×#388C2211yescharacteristic
120C47×#388C2211yescharacteristic
121C47×#388C2211yescharacteristic, complemented
122C47×#388C2211yescharacteristic, complemented
123C47×#388C2211yescharacteristic, complemented
124C47×#388C2211yescharacteristic, complemented
125C47×#388C2211yescharacteristic, complemented
126C47×#388C2211yescharacteristic, complemented
127C47×#387C2211yescharacteristic, complemented
128C47×#387C2211yescharacteristic, complemented
129C47×#387C2211yescharacteristic, complemented
130C47×#387C2211yescharacteristic, complemented
131C47×#387C2211yescharacteristic, complemented
132C47×#387C2211yescharacteristic, complemented
133C47×#387C2211yescharacteristic, complemented
134C47×#387C2211yescharacteristic, complemented
135C47×#387C2211yescharacteristic, complemented
136C47×#387C2211yescharacteristic, complemented
137C47×#387C2211yescharacteristic, complemented
138C47×#387C2211yescharacteristic, complemented
139C47×#387C2211yescharacteristic, complemented
140C47×#387C2211yescharacteristic, complemented
141C47×#386C2211yescharacteristic
142C47×#386C2211yescharacteristic
143C47×#386C2211yescharacteristic
144C47×#386C2211yescharacteristic
145C47×#386C2211yescharacteristic
146C47×#386C2211yescharacteristic
147C47×#386C2211yescharacteristic
148C47×#386C2211yescharacteristic
149C47×#386C2211yescharacteristic
150C47×#386C2211yescharacteristic
151C47×#386C2211yescharacteristic
152C47×#386C2211yescharacteristic
153C47×#386C2211yescharacteristic, complemented
154C47×#386C2211yescharacteristic, complemented
155C47×#386C2211yescharacteristic, complemented
156C47×#385C2211yescharacteristic
157C47×#385C2211yescharacteristic
158C47×#385C2211yescharacteristic
159C47×#385C2211yescharacteristic
160C47×#385C2211yescharacteristic
161C47×#385C2211yescharacteristic
162C47×#385C2211yescharacteristic, complemented
163C47×#385C2211yescharacteristic, complemented
164C47×#385C2211yescharacteristic, complemented
165C47×#382C2211yescharacteristic, complemented
166C47×#381C2211yescharacteristic, complemented
167C47×#380C2211yescharacteristic
168C47×#380C2211yescharacteristic
169C47×#379C2211yescharacteristic
170C47×#379C2211yescharacteristic
171C4×C4⋊C4×C47C2211yescharacteristic, complemented
172C4×C4⋊C4×C47C2211yescharacteristic, complemented
173C4×C4⋊C4×C47C2211yescharacteristic, complemented
174C4×C4⋊C4×C47C2211yescharacteristic, complemented
175C4×C22⋊C4×C47C2211yescharacteristic
176C4×C22⋊C4×C47C2211yescharacteristic
177C4×C22⋊C4×C47C2211yescharacteristic
178C4×C22⋊C4×C47C2211yescharacteristic
179C4×C22⋊C4×C47C2211yescharacteristic, complemented
180C4×C22⋊C4×C47C2211yescharacteristic, complemented
181C4×C22⋊C4×C47C2211yescharacteristic, complemented
182C4×C22⋊C4×C47C2211yescharacteristic, complemented
183C47×#376C2211yescharacteristic, complemented
184C2×#95×C47C2211yescharacteristic
185C2×#95×C47C2211yescharacteristic
186C43×C47C2211yescharacteristic, complemented
187C25×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
196C23×C4×C47C2311yescharacteristic
197C23×C4×C47C2311yescharacteristic
198C23×C4×C47C2311yescharacteristic
199C23×C4×C47C2311yescharacteristic
200C23×C4×C47C2311yescharacteristic
201C23×C4×C47C2311yescharacteristic
202C23×C4×C47C2311yescharacteristic
203C23×C4×C47C2311yescharacteristic
204C23×C4×C47C2311yescharacteristic
205C23×C4×C47C2311yescharacteristic
206#126×C47—42no—
207#126×C47—42no—
208#124×C47—42no—
209#123×C47—42no—
210C22⋊Q8×C47—24no—
211C22⋊Q8×C47—42no—
212#121×C47—24no—
213#121×C47—42no—
214#120×C47—24no—
215#120×C47—24no—
216C4×D4×C47—24no—
217C4×D4×C47—24no—
218C4×D4×C47—24no—
219C4×D4×C47—24no—
220#117×C47—42no—
221C2×C4⋊C4×C47—42no—
222C2×C4⋊C4×C47C2311yescharacteristic
223C2×C4⋊C4×C47C2311yescharacteristic
224C2×C4⋊C4×C47C2311yescharacteristic
225C2×C4⋊C4×C47C2311yescharacteristic
226C2×C4⋊C4×C47C2311yescharacteristic
227C2×C4⋊C4×C47C2311yescharacteristic
228C2×C4⋊C4×C47C2311yescharacteristic
229C2×C4⋊C4×C47C2311yescharacteristic
230C2×C4⋊C4×C47C2311yescharacteristic
231C2×C4⋊C4×C47C2311yescharacteristic
232C2×C4⋊C4×C47C2311yescharacteristic
233C2×C4⋊C4×C47C2311yescharacteristic
234C2×C4⋊C4×C47C2311yescharacteristic
235C2×C4⋊C4×C47C2311yescharacteristic
236C2×C4⋊C4×C47C2311yescharacteristic
237C2×C4⋊C4×C47C2311yescharacteristic
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×C22⋊C4×C47—24no—
251C2×C22⋊C4×C47—42no—
252C2×C22⋊C4×C47—42no—
253C2×C22⋊C4×C47C2311yescharacteristic
254C2×C22⋊C4×C47C2311yescharacteristic
255C2×C22⋊C4×C47C2311yescharacteristic
256C2×C22⋊C4×C47C2311yescharacteristic
257C2×C22⋊C4×C47C2311yescharacteristic
258C2×C22⋊C4×C47C2311yescharacteristic
259C2×C22⋊C4×C47C2311yescharacteristic
260C2×C22⋊C4×C47C2311yescharacteristic
261C2×C22⋊C4×C47C2311yescharacteristic
262C2×C22⋊C4×C47C2311yescharacteristic
263C2×C22⋊C4×C47C2311yescharacteristic
264C2×C22⋊C4×C47C2311yescharacteristic
265C2×C22⋊C4×C47C2311yescharacteristic
266C2×C22⋊C4×C47C2311yescharacteristic
267C2×C22⋊C4×C47C2311yescharacteristic
268C2×C22⋊C4×C47C2311yescharacteristic
269C2×C22⋊C4×C47C2311yescharacteristic
270C2×C22⋊C4×C47C2311yescharacteristic
271C2×C22⋊C4×C47C2311yescharacteristic
272C2×C22⋊C4×C47C2311yescharacteristic
273C2×C22⋊C4×C47C2311yescharacteristic
274C2×C22⋊C4×C47C2311yescharacteristic
275C2×C22⋊C4×C47C2311yescharacteristic
276C2×C22⋊C4×C47C2311yescharacteristic
277C2×C22⋊C4×C47C2311yescharacteristic
278C2×C22⋊C4×C47C2311yescharacteristic
279C2×C22⋊C4×C47C2311yescharacteristic
280C2×C22⋊C4×C47C2311yescharacteristic
281C2×C22⋊C4×C47C2311yescharacteristic
282C2×C22⋊C4×C47C2311yescharacteristic
283C2×C22⋊C4×C47C2311yescharacteristic
284C2×C22⋊C4×C47C2311yescharacteristic
285C2×C22⋊C4×C47C2311yescharacteristic
286C2×C22⋊C4×C47C2311yescharacteristic
287C2×C22⋊C4×C47C2311yescharacteristic
288C2×C22⋊C4×C47C2311yescharacteristic
289C2×C22⋊C4×C47C2311yescharacteristic
290C2×C22⋊C4×C47C2311yescharacteristic
291C2×C22⋊C4×C47C2311yescharacteristic
292C2×C22⋊C4×C47C2311yescharacteristic
293C2×C22⋊C4×C47C2311yescharacteristic
294C2×C22⋊C4×C47C2311yescharacteristic
295C2×C22⋊C4×C47C2311yescharacteristic
296C2×C22⋊C4×C47C2311yescharacteristic
297C2×C22⋊C4×C47C2311yescharacteristic
298C2×C22⋊C4×C47C2311yescharacteristic
299C2×C22⋊C4×C47C2311yescharacteristic
300C2×C22⋊C4×C47C2311yescharacteristic
301C2×C42×C47—42no—
302C2×C42×C47—42no—
303C2×C42×C47C2311yescharacteristic
304C2×C42×C47C2311yescharacteristic
305C2×C42×C47C2311yescharacteristic
306C2×C42×C47C2311yescharacteristic
307C2×C42×C47C2311yescharacteristic
308C2×C42×C47C2311yescharacteristic
309C2×C42×C47C2311yescharacteristic
310C2×C42×C47C2311yescharacteristic
311C2×C42×C47C2311yescharacteristic
312C2×C42×C47C2311yescharacteristic
313C2×C42×C47C2311yescharacteristic
314C2×C42×C47C2311yescharacteristic
315C2×C42×C47C2311yescharacteristic
316C2×C42×C47C2311yescharacteristic
317C2×C42×C47C2311yescharacteristic
318C2×C42×C47C2311yescharacteristic
319#95×C47C2311yescharacteristic
320#95×C47C2311yescharacteristic
321#95×C47C2311yescharacteristic
322#95×C47C2311yescharacteristic
323#95×C47C2311yescharacteristic
324#95×C47C2311yescharacteristic
325#95×C47C2311yescharacteristic
326#95×C47C2311yescharacteristic
327#95×C47C2311yescharacteristic
328#95×C47C2311yescharacteristic
329#95×C47C2311yescharacteristic
330#95×C47C2311yescharacteristic
331#95×C47C2311yescharacteristic
332#95×C47C2311yescharacteristic
333#95×C47C2311yescharacteristic
334#95×C47C2311yescharacteristic
335#95×C47C2311yescharacteristic
336#95×C47C2311yescharacteristic
337#95×C47C2311yescharacteristic
338#95×C47C2311yescharacteristic
339#95×C47C2311yescharacteristic
340#95×C47C2311yescharacteristic
341#95×C47C2311yescharacteristic
342#95×C47C2311yescharacteristic
343#95×C47C2311yescharacteristic
344#95×C47C2311yescharacteristic
345#95×C47C2311yescharacteristic
346#95×C47C2311yescharacteristic
347#95×C47C2311yescharacteristic
348#95×C47C2311yescharacteristic
349#95×C47C2311yescharacteristic
350#95×C47C2311yescharacteristic
351#95×C47C2311yescharacteristic
352#95×C47C2311yescharacteristic
353#95×C47C2311yescharacteristic
354#95×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363C24×C47—22no—
364C24×C47—22no—
365C24×C47—22no—
366C24×C47—41no—
367C24×C47—41no—
368C24×C47—41no—
369C24×C47—41no—
370C24×C47C2411yescharacteristic
371C24×C47C2411yescharacteristic
372C24×C47C2411yescharacteristic
373C24×C47C2411yescharacteristic
374C24×C47C2411yescharacteristic
375C2×Q8×C47—22no—
376C2×Q8×C47—41no—
377C2×Q8×C47—41no—
378C2×D4×C47—22no—
379C2×D4×C47—22no—
380C2×D4×C47—22no—
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—41no—
389C2×D4×C47—41no—
390C2×D4×C47—41no—
391C2×D4×C47—41no—
392C2×D4×C47—41no—
393C2×D4×C47—41no—
394C2×D4×C47—41no—
395C2×D4×C47—41no—
396C2×D4×C47—41no—
397C2×D4×C47—41no—
398C2×D4×C47#4114yes—
399C22×C4×C47—22no—
400C22×C4×C47—22no—
401C22×C4×C47—22no—
402C22×C4×C47—22no—
403C22×C4×C47—22no—
404C22×C4×C47—22no—
405C22×C4×C47—22no—
406C22×C4×C47—22no—
407C22×C4×C47—22no—
408C22×C4×C47—22no—
409C22×C4×C47—22no—
410C22×C4×C47—22no—
411C22×C4×C47—22no—
412C22×C4×C47—41no—
413C22×C4×C47—41no—
414C22×C4×C47—41no—
415C22×C4×C47—41no—
416C22×C4×C47—41no—
417C22×C4×C47—41no—
418C22×C4×C47—41no—
419C22×C4×C47—41no—
420C22×C4×C47—41no—
421C22×C4×C47—41no—
422C22×C4×C47—41no—
423C22×C4×C47—41no—
424C22×C4×C47—41no—
425C22×C4×C47—41no—
426C22×C4×C47—41no—
427C22×C4×C47—41no—
428C22×C4×C47#4114yes—
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C22×C4×C47C2411yescharacteristic
438C22×C4×C47C2411yescharacteristic
439C22×C4×C47C2411yescharacteristic
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C22×C4×C47C2411yescharacteristic
443C22×C4×C47C2411yescharacteristic
444C22×C4×C47C2411yescharacteristic
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2411yescharacteristic
447C22×C4×C47C2411yescharacteristic
448C22×C4×C47C2411yescharacteristic
449C22×C4×C47C2411yescharacteristic
450C22×C4×C47C2411yescharacteristic
451C22×C4×C47C2411yescharacteristic
452C22×C4×C47C2411yescharacteristic
453C22×C4×C47C2411yescharacteristic
454C22×C4×C47C2411yescharacteristic
455C4⋊C4×C47—22no—
456C4⋊C4×C47—22no—
457C4⋊C4×C47—22no—
458C4⋊C4×C47—22no—
459C4⋊C4×C47—22no—
460C4⋊C4×C47—22no—
461C4⋊C4×C47—22no—
462C4⋊C4×C47—22no—
463C4⋊C4×C47—22no—
464C4⋊C4×C47—22no—
465C4⋊C4×C47—22no—
466C4⋊C4×C47—22no—
467C4⋊C4×C47—41no—
468C4⋊C4×C47—41no—
469C4⋊C4×C47—41no—
470C4⋊C4×C47—41no—
471C4⋊C4×C47—41no—
472C4⋊C4×C47—41no—
473C4⋊C4×C47—41no—
474C4⋊C4×C47—41no—
475C4⋊C4×C47—41no—
476C4⋊C4×C47—41no—
477C4⋊C4×C47—41no—
478C4⋊C4×C47—41no—
479C4⋊C4×C47—41no—
480C4⋊C4×C47—41no—
481C4⋊C4×C47—41no—
482C4⋊C4×C47—41no—
483C22⋊C4×C47—22no—
484C22⋊C4×C47—22no—
485C22⋊C4×C47—22no—
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—22no—
500C22⋊C4×C47—22no—
501C22⋊C4×C47—22no—
502C22⋊C4×C47—22no—
503C22⋊C4×C47—22no—
504C22⋊C4×C47—22no—
505C22⋊C4×C47—22no—
506C22⋊C4×C47—22no—
507C22⋊C4×C47—22no—
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—41no—
515C22⋊C4×C47—41no—
516C22⋊C4×C47—41no—
517C22⋊C4×C47—41no—
518C22⋊C4×C47—41no—
519C22⋊C4×C47—41no—
520C22⋊C4×C47—41no—
521C22⋊C4×C47—41no—
522C22⋊C4×C47—41no—
523C22⋊C4×C47—41no—
524C22⋊C4×C47—41no—
525C22⋊C4×C47—41no—
526C22⋊C4×C47—41no—
527C22⋊C4×C47—41no—
528C22⋊C4×C47—41no—
529C22⋊C4×C47—41no—
530C22⋊C4×C47#4114yes—
531C42×C47—22no—
532C42×C47—22no—
533C42×C47—22no—
534C42×C47—22no—
535C42×C47—22no—
536C42×C47—22no—
537C42×C47—22no—
538C42×C47—22no—
539C42×C47—41no—
540C42×C47—41no—
541C42×C47—41no—
542C42×C47—41no—
543C42×C47—41no—
544C42×C47—41no—
545C42×C47—41no—
546C42×C47—41no—
547C23×C47—21no—
548C23×C47—21no—
549C23×C47—21no—
550C23×C47—21no—
551C23×C47—21no—
552C23×C47—21no—
553C23×C47—21no—
554C23×C47—21no—
555C23×C47—21no—
556C23×C47—21no—
557C23×C47—21no—
558C23×C47—21no—
559C23×C47—21no—
560C23×C47—21no—
561C23×C47—21no—
562C23×C47—21no—
563C23×C47—21no—
564C23×C47—21no—
565C23×C47—21no—
566C23×C47—21no—
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47—21no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47—44no—
579C23×C47—44no—
580C23×C47—44no—
581C23×C47—82no—
582C23×C47—82no—
583C23×C47—82no—
584C23×C47—82no—
585C23×C47C2×#4112yes—
586C23×C47C2×#4112yes—
587C23×C47C2×#4112yes—
588C23×C47C2×#4112yes—
589C23×C47C2511yescharacteristic
590Q8×C47—82no—
591D4×C47—28no—
592D4×C47—44no—
593D4×C47—82no—
594D4×C47—82no—
595D4×C47—82no—
596D4×C47—82no—
597D4×C47—82no—
598C2×C4×C47—21no—
599C2×C4×C47—21no—
600C2×C4×C47—21no—
601C2×C4×C47—21no—
602C2×C4×C47—21no—
603C2×C4×C47—21no—
604C2×C4×C47—21no—
605C2×C4×C47—21no—
606C2×C4×C47—21no—
607C2×C4×C47—21no—
608C2×C4×C47—21no—
609C2×C4×C47—21no—
610C2×C4×C47—21no—
611C2×C4×C47—21no—
612C2×C4×C47—21no—
613C2×C4×C47—21no—
614C2×C4×C47—21no—
615C2×C4×C47—21no—
616C2×C4×C47—21no—
617C2×C4×C47—21no—
618C2×C4×C47—21no—
619C2×C4×C47—21no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
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—44no—
670C2×C4×C47—44no—
671C2×C4×C47—44no—
672C2×C4×C47—44no—
673C2×C4×C47—44no—
674C2×C4×C47—44no—
675C2×C4×C47—44no—
676C2×C4×C47—44no—
677C2×C4×C47—82no—
678C2×C4×C47—82no—
679C2×C4×C47C2×#4112yes—
680C2×C4×C47C2×#4112yes—
681C2×C4×C47C2×#4112yes—
682C2×C4×C47C2×#4112yes—
683C2×C4×C47C2×#4112yes—
684C2×C4×C47H(5,𝔽2)12yes—
685C2×C4×C47H(5,𝔽2)12yes—
686#35066C4711yesmaximal, characteristic, direct product factor, Sylow
687C22×C47—22no—
688C22×C47—22no—
689C22×C47—22no—
690C22×C47—22no—
691C22×C47—22no—
692C22×C47—22no—
693C22×C47—22no—
694C22×C47—22no—
695C22×C47—22no—
696C22×C47—41no—
697C22×C47—41no—
698C22×C47—41no—
699C22×C47—41no—
700C22×C47—41no—
701C22×C47—41no—
702C22×C47—41no—
703C22×C47—41no—
704C22×C47—41no—
705C22×C47—41no—
706C22×C47—41no—
707C22×C47—41no—
708C22×C47—41no—
709C22×C47—41no—
710C22×C47—41no—
711C22×C47—41no—
712C22×C47—41no—
713C22×C47—41no—
714C22×C47—41no—
715C22×C47—41no—
716C22×C47—41no—
717C22×C47—41no—
718C22×C47—41no—
719C22×C47—41no—
720C22×C47—41no—
721C22×C47—88no—
722C22×C47#52914yes—
723C22×C47C22×#4111yescharacteristic
724C22×C47C22×#4111yescharacteristic
725C22×C47C22×#4111yescharacteristic
726C22×C47C2×H(5,𝔽2)11yescharacteristic
727C22×C47C2×H(5,𝔽2)11yescharacteristic
728C22×C47#58511yescharacteristic
729C22×C47#58511yescharacteristic
730C4×C47—22no—
731C4×C47—22no—
732C4×C47—22no—
733C4×C47—22no—
734C4×C47—22no—
735C4×C47—22no—
736C4×C47—22no—
737C4×C47—41no—
738C4×C47—41no—
739C4×C47—41no—
740C4×C47—41no—
741C4×C47—41no—
742C4×C47—41no—
743C4×C47—41no—
744C4×C47—41no—
745C4×C47—41no—
746C4×C47—41no—
747C4×C47—41no—
748C4×C47—41no—
749C4×C47—41no—
750C4×C47—41no—
751C4×C47—41no—
752C4×C47—41no—
753C4×C47—41no—
754C4×C47—41no—
755C4×C47—41no—
756#2866C2×C4711yescharacteristic, complemented
757#2860C2×C4711yescharacteristic, complemented
758#2853C2×C4711yescharacteristic, complemented
759#2850C2×C4711yescharacteristic, complemented
760#2651C2×C4711yescharacteristic, complemented
761#2650C2×C4711yescharacteristic, complemented
762#2649C2×C4711yescharacteristic, complemented
763#2648C2×C4711yescharacteristic, complemented
764#2597C2×C4711yescharacteristic, complemented
765#2596C2×C4711yescharacteristic, complemented
766#2560C2×C4711yescharacteristic, complemented
767#2559C2×C4711yescharacteristic, complemented
768#2529C2×C4711yescharacteristic, complemented
769#2526C2×C4711yescharacteristic, complemented
770#2505C2×C4711yescharacteristic, complemented
771#2481C2×C4711yescharacteristic, complemented
772#2480C2×C4711yescharacteristic, complemented
773#2474C2×C4711yescharacteristic, complemented
774#2472C2×C4711yescharacteristic, complemented
775#2471C2×C4711yescharacteristic, complemented
776#2449C2×C4711yescharacteristic, complemented
777#2444C2×C4711yescharacteristic, complemented
778#2424C2×C4711yescharacteristic
779#2418C2×C4711yescharacteristic, complemented
780#2329C2×C4711yescharacteristic, complemented
781#2325C2×C4711yescharacteristic, complemented
782#2321C2×C4711yescharacteristic, complemented
783#2321C2×C4711yescharacteristic, complemented
784#2290C2×C4711yescharacteristic, complemented
785C2×#388C2×C4711yescharacteristic, complemented
786C42×D4C2×C4711yescharacteristic, complemented
787C2×C47—24no—
788C2×C47—42no—
789C2×C47—81no—
790C2×C47—81no—
791C2×C47—81no—
792C2×C47C2×#52911yescharacteristic
793C2×C47#345911yescharacteristic
794C2×C47#346011yescharacteristic
795C2×C47#351311yescharacteristic
796C2×C47#351411yescharacteristic
797C2×C47#351911yescharacteristic
798C2×C47#352111yescharacteristic
799C2×#126C22×C4711yescharacteristic
800C2×#126C22×C4711yescharacteristic, complemented
801C2×#124C22×C4711yescharacteristic
802C2×#123C22×C4711yescharacteristic
803C2×C22⋊Q8C22×C4711yescharacteristic
804C2×C22⋊Q8C22×C4711yescharacteristic, complemented
805C2×#121C22×C4711yescharacteristic
806C2×#121C22×C4711yescharacteristic
807C2×#120C22×C4711yescharacteristic
808C2×#120C22×C4711yescharacteristic
809C2×C4×D4C22×C4711yescharacteristic
810C2×C4×D4C22×C4711yescharacteristic
811C2×C4×D4C22×C4711yescharacteristic
812C2×C4×D4C22×C4711yescharacteristic
813C2×#117C22×C4711yescharacteristic, complemented
814C22×C4⋊C4C22×C4711yescharacteristic
815C22×C22⋊C4C22×C4711yescharacteristic
816C22×C22⋊C4C22×C4711yescharacteristic
817C22×C22⋊C4C22×C4711yescharacteristic
818C22×C42C22×C4711yescharacteristic
819C22×C42C22×C4711yescharacteristic, complemented
820#400C22×C4711yescharacteristic, complemented
821#400C22×C4711yescharacteristic, complemented
822#400C22×C4711yescharacteristic, complemented
823#400C22×C4711yescharacteristic, complemented
824#400C22×C4711yescharacteristic, complemented
825#400C22×C4711yescharacteristic, complemented
826#399C22×C4711yescharacteristic
827#399C22×C4711yescharacteristic, complemented
828#398C22×C4711yescharacteristic, complemented
829#398C22×C4711yescharacteristic, complemented
830#397C22×C4711yescharacteristic
831#397C22×C4711yescharacteristic
832#397C22×C4711yescharacteristic
833#397C22×C4711yescharacteristic
834#397C22×C4711yescharacteristic
835#397C22×C4711yescharacteristic, complemented
836#397C22×C4711yescharacteristic, complemented
837#397C22×C4711yescharacteristic, complemented
838#396C22×C4711yescharacteristic
839#396C22×C4711yescharacteristic
840#396C22×C4711yescharacteristic, complemented
841#396C22×C4711yescharacteristic, complemented
842#395C22×C4711yescharacteristic, complemented
843#394C22×C4711yescharacteristic
844#394C22×C4711yescharacteristic
845#394C22×C4711yescharacteristic
846#394C22×C4711yescharacteristic
847#394C22×C4711yescharacteristic
848#394C22×C4711yescharacteristic
849#394C22×C4711yescharacteristic, complemented
850#393C22×C4711yescharacteristic
851#392C22×C4711yescharacteristic
852#391C22×C4711yescharacteristic, complemented
853#391C22×C4711yescharacteristic, complemented
854#390C22×C4711yescharacteristic
855#390C22×C4711yescharacteristic
856#390C22×C4711yescharacteristic
857#390C22×C4711yescharacteristic
858#390C22×C4711yescharacteristic
859#390C22×C4711yescharacteristic
860#389C22×C4711yescharacteristic, complemented
861#389C22×C4711yescharacteristic, complemented
862#389C22×C4711yescharacteristic, complemented
863#389C22×C4711yescharacteristic, complemented
864#388C22×C4711yescharacteristic
865#388C22×C4711yescharacteristic
866#388C22×C4711yescharacteristic
867#388C22×C4711yescharacteristic
868#388C22×C4711yescharacteristic
869#388C22×C4711yescharacteristic
870#388C22×C4711yescharacteristic
871#388C22×C4711yescharacteristic
872#388C22×C4711yescharacteristic
873#388C22×C4711yescharacteristic
874#388C22×C4711yescharacteristic
875#388C22×C4711yescharacteristic
876#388C22×C4711yescharacteristic
877#388C22×C4711yescharacteristic
878#388C22×C4711yescharacteristic
879#388C22×C4711yescharacteristic
880#388C22×C4711yescharacteristic
881#388C22×C4711yescharacteristic
882#388C22×C4711yescharacteristic
883#388C22×C4711yescharacteristic
884#388C22×C4711yescharacteristic
885#388C22×C4711yescharacteristic
886#388C22×C4711yescharacteristic
887#388C22×C4711yescharacteristic
888#388C22×C4711yescharacteristic, complemented
889#388C22×C4711yescharacteristic, complemented
890#388C22×C4711yescharacteristic, complemented
891#388C22×C4711yescharacteristic, complemented
892#388C22×C4711yescharacteristic, complemented
893#388C22×C4711yescharacteristic, complemented
894#387C22×C4711yescharacteristic, complemented
895#387C22×C4711yescharacteristic, complemented
896#387C22×C4711yescharacteristic, complemented
897#387C22×C4711yescharacteristic, complemented
898#387C22×C4711yescharacteristic, complemented
899#387C22×C4711yescharacteristic, complemented
900#387C22×C4711yescharacteristic, complemented
901#387C22×C4711yescharacteristic, complemented
902#387C22×C4711yescharacteristic, complemented
903#387C22×C4711yescharacteristic, complemented
904#387C22×C4711yescharacteristic, complemented
905#387C22×C4711yescharacteristic, complemented
906#387C22×C4711yescharacteristic, complemented
907#387C22×C4711yescharacteristic, complemented
908#386C22×C4711yescharacteristic
909#386C22×C4711yescharacteristic
910#386C22×C4711yescharacteristic
911#386C22×C4711yescharacteristic
912#386C22×C4711yescharacteristic
913#386C22×C4711yescharacteristic
914#386C22×C4711yescharacteristic
915#386C22×C4711yescharacteristic
916#386C22×C4711yescharacteristic
917#386C22×C4711yescharacteristic
918#386C22×C4711yescharacteristic
919#386C22×C4711yescharacteristic
920#386C22×C4711yescharacteristic, complemented
921#386C22×C4711yescharacteristic, complemented
922#386C22×C4711yescharacteristic, complemented
923#385C22×C4711yescharacteristic
924#385C22×C4711yescharacteristic
925#385C22×C4711yescharacteristic
926#385C22×C4711yescharacteristic
927#385C22×C4711yescharacteristic
928#385C22×C4711yescharacteristic
929#385C22×C4711yescharacteristic, complemented
930#385C22×C4711yescharacteristic, complemented
931#385C22×C4711yescharacteristic, complemented
932#382C22×C4711yescharacteristic, complemented
933#381C22×C4711yescharacteristic, complemented
934#380C22×C4711yescharacteristic
935#380C22×C4711yescharacteristic
936#379C22×C4711yescharacteristic
937#379C22×C4711yescharacteristic
938C4×C4⋊C4C22×C4711yescharacteristic, complemented
939C4×C4⋊C4C22×C4711yescharacteristic, complemented
940C4×C4⋊C4C22×C4711yescharacteristic, complemented
941C4×C4⋊C4C22×C4711yescharacteristic, complemented
942C4×C22⋊C4C22×C4711yescharacteristic
943C4×C22⋊C4C22×C4711yescharacteristic
944C4×C22⋊C4C22×C4711yescharacteristic
945C4×C22⋊C4C22×C4711yescharacteristic
946C4×C22⋊C4C22×C4711yescharacteristic, complemented
947C4×C22⋊C4C22×C4711yescharacteristic, complemented
948C4×C22⋊C4C22×C4711yescharacteristic, complemented
949C4×C22⋊C4C22×C4711yescharacteristic, complemented
950#376C22×C4711yescharacteristic, complemented
951C2×#95C22×C4711yescharacteristic
952C2×#95C22×C4711yescharacteristic
953C43C22×C4711yescharacteristic, complemented
954C47#3506611yescharacteristic, direct product factor, Sylow
955C25C23×C4711yescharacteristic
956C22×Q8C23×C4711yescharacteristic
957C22×D4C23×C4711yescharacteristic
958C22×D4C23×C4711yescharacteristic
959C22×D4C23×C4711yescharacteristic
960C22×D4C23×C4711yescharacteristic
961C22×D4C23×C4711yescharacteristic
962C22×D4C23×C4711yescharacteristic
963C22×D4C23×C4711yescharacteristic
964C23×C4C23×C4711yescharacteristic
965C23×C4C23×C4711yescharacteristic
966C23×C4C23×C4711yescharacteristic
967C23×C4C23×C4711yescharacteristic
968C23×C4C23×C4711yescharacteristic
969C23×C4C23×C4711yescharacteristic
970C23×C4C23×C4711yescharacteristic
971C23×C4C23×C4711yescharacteristic
972C23×C4C23×C4711yescharacteristic
973C23×C4C23×C4711yescharacteristic
974#126—42no—
975#126—42no—
976#124—42no—
977#123—42no—
978C22⋊Q8—24no—
979C22⋊Q8—42no—
980#121—24no—
981#121—42no—
982#120—24no—
983#120—24no—
984C4×D4—24no—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—24no—
988#117—42no—
989C2×C4⋊C4—42no—
990C2×C4⋊C4C23×C4711yescharacteristic
991C2×C4⋊C4C23×C4711yescharacteristic
992C2×C4⋊C4C23×C4711yescharacteristic
993C2×C4⋊C4C23×C4711yescharacteristic
994C2×C4⋊C4C23×C4711yescharacteristic
995C2×C4⋊C4C23×C4711yescharacteristic
996C2×C4⋊C4C23×C4711yescharacteristic
997C2×C4⋊C4C23×C4711yescharacteristic
998C2×C4⋊C4C23×C4711yescharacteristic
999C2×C4⋊C4C23×C4711yescharacteristic
1000C2×C4⋊C4C23×C4711yescharacteristic
1001C2×C4⋊C4C23×C4711yescharacteristic
1002C2×C4⋊C4C23×C4711yescharacteristic
1003C2×C4⋊C4C23×C4711yescharacteristic
1004C2×C4⋊C4C23×C4711yescharacteristic
1005C2×C4⋊C4C23×C4711yescharacteristic
1006C2×C4⋊C4C23×C4711yescharacteristic
1007C2×C4⋊C4C23×C4711yescharacteristic
1008C2×C4⋊C4C23×C4711yescharacteristic
1009C2×C4⋊C4C23×C4711yescharacteristic
1010C2×C4⋊C4C23×C4711yescharacteristic
1011C2×C4⋊C4C23×C4711yescharacteristic
1012C2×C4⋊C4C23×C4711yescharacteristic
1013C2×C4⋊C4C23×C4711yescharacteristic
1014C2×C4⋊C4C23×C4711yescharacteristic
1015C2×C4⋊C4C23×C4711yescharacteristic
1016C2×C4⋊C4C23×C4711yescharacteristic
1017C2×C4⋊C4C23×C4711yescharacteristic
1018C2×C22⋊C4—24no—
1019C2×C22⋊C4—42no—
1020C2×C22⋊C4—42no—
1021C2×C22⋊C4C23×C4711yescharacteristic
1022C2×C22⋊C4C23×C4711yescharacteristic
1023C2×C22⋊C4C23×C4711yescharacteristic
1024C2×C22⋊C4C23×C4711yescharacteristic
1025C2×C22⋊C4C23×C4711yescharacteristic
1026C2×C22⋊C4C23×C4711yescharacteristic
1027C2×C22⋊C4C23×C4711yescharacteristic
1028C2×C22⋊C4C23×C4711yescharacteristic
1029C2×C22⋊C4C23×C4711yescharacteristic
1030C2×C22⋊C4C23×C4711yescharacteristic
1031C2×C22⋊C4C23×C4711yescharacteristic
1032C2×C22⋊C4C23×C4711yescharacteristic
1033C2×C22⋊C4C23×C4711yescharacteristic
1034C2×C22⋊C4C23×C4711yescharacteristic
1035C2×C22⋊C4C23×C4711yescharacteristic
1036C2×C22⋊C4C23×C4711yescharacteristic
1037C2×C22⋊C4C23×C4711yescharacteristic
1038C2×C22⋊C4C23×C4711yescharacteristic
1039C2×C22⋊C4C23×C4711yescharacteristic
1040C2×C22⋊C4C23×C4711yescharacteristic
1041C2×C22⋊C4C23×C4711yescharacteristic
1042C2×C22⋊C4C23×C4711yescharacteristic
1043C2×C22⋊C4C23×C4711yescharacteristic
1044C2×C22⋊C4C23×C4711yescharacteristic
1045C2×C22⋊C4C23×C4711yescharacteristic
1046C2×C22⋊C4C23×C4711yescharacteristic
1047C2×C22⋊C4C23×C4711yescharacteristic
1048C2×C22⋊C4C23×C4711yescharacteristic
1049C2×C22⋊C4C23×C4711yescharacteristic
1050C2×C22⋊C4C23×C4711yescharacteristic
1051C2×C22⋊C4C23×C4711yescharacteristic
1052C2×C22⋊C4C23×C4711yescharacteristic
1053C2×C22⋊C4C23×C4711yescharacteristic
1054C2×C22⋊C4C23×C4711yescharacteristic
1055C2×C22⋊C4C23×C4711yescharacteristic
1056C2×C22⋊C4C23×C4711yescharacteristic
1057C2×C22⋊C4C23×C4711yescharacteristic
1058C2×C22⋊C4C23×C4711yescharacteristic
1059C2×C22⋊C4C23×C4711yescharacteristic
1060C2×C22⋊C4C23×C4711yescharacteristic
1061C2×C22⋊C4C23×C4711yescharacteristic
1062C2×C22⋊C4C23×C4711yescharacteristic
1063C2×C22⋊C4C23×C4711yescharacteristic
1064C2×C22⋊C4C23×C4711yescharacteristic
1065C2×C22⋊C4C23×C4711yescharacteristic
1066C2×C22⋊C4C23×C4711yescharacteristic
1067C2×C22⋊C4C23×C4711yescharacteristic
1068C2×C22⋊C4C23×C4711yescharacteristic
1069C2×C42—42no—
1070C2×C42—42no—
1071C2×C42C23×C4711yescharacteristic
1072C2×C42C23×C4711yescharacteristic
1073C2×C42C23×C4711yescharacteristic
1074C2×C42C23×C4711yescharacteristic
1075C2×C42C23×C4711yescharacteristic
1076C2×C42C23×C4711yescharacteristic
1077C2×C42C23×C4711yescharacteristic
1078C2×C42C23×C4711yescharacteristic
1079C2×C42C23×C4711yescharacteristic
1080C2×C42C23×C4711yescharacteristic
1081C2×C42C23×C4711yescharacteristic
1082C2×C42C23×C4711yescharacteristic
1083C2×C42C23×C4711yescharacteristic
1084C2×C42C23×C4711yescharacteristic
1085C2×C42C23×C4711yescharacteristic
1086C2×C42C23×C4711yescharacteristic
1087#95C23×C4711yescharacteristic
1088#95C23×C4711yescharacteristic
1089#95C23×C4711yescharacteristic
1090#95C23×C4711yescharacteristic
1091#95C23×C4711yescharacteristic
1092#95C23×C4711yescharacteristic
1093#95C23×C4711yescharacteristic
1094#95C23×C4711yescharacteristic
1095#95C23×C4711yescharacteristic
1096#95C23×C4711yescharacteristic
1097#95C23×C4711yescharacteristic
1098#95C23×C4711yescharacteristic
1099#95C23×C4711yescharacteristic
1100#95C23×C4711yescharacteristic
1101#95C23×C4711yescharacteristic
1102#95C23×C4711yescharacteristic
1103#95C23×C4711yescharacteristic
1104#95C23×C4711yescharacteristic
1105#95C23×C4711yescharacteristic
1106#95C23×C4711yescharacteristic
1107#95C23×C4711yescharacteristic
1108#95C23×C4711yescharacteristic
1109#95C23×C4711yescharacteristic
1110#95C23×C4711yescharacteristic
1111#95C23×C4711yescharacteristic
1112#95C23×C4711yescharacteristic
1113#95C23×C4711yescharacteristic
1114#95C23×C4711yescharacteristic
1115#95C23×C4711yescharacteristic
1116#95C23×C4711yescharacteristic
1117#95C23×C4711yescharacteristic
1118#95C23×C4711yescharacteristic
1119#95C23×C4711yescharacteristic
1120#95C23×C4711yescharacteristic
1121#95C23×C4711yescharacteristic
1122#95C23×C4711yescharacteristic
1123#95C23×C4711yescharacteristic
1124#95C23×C4711yescharacteristic
1125#95C23×C4711yescharacteristic
1126#95C23×C4711yescharacteristic
1127#95C23×C4711yescharacteristic
1128#95C23×C4711yescharacteristic
1129#95C23×C4711yescharacteristic
1130#95C23×C4711yescharacteristic
1131C24—22no—
1132C24—22no—
1133C24—22no—
1134C24—41no—
1135C24—41no—
1136C24—41no—
1137C24—41no—
1138C24C24×C4711yescharacteristic
1139C24C24×C4711yescharacteristic
1140C24C24×C4711yescharacteristic
1141C24C24×C4711yescharacteristic
1142C24C24×C4711yescharacteristic
1143C2×Q8—22no—
1144C2×Q8—41no—
1145C2×Q8—41no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4#41×C4714yes—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4#41×C4714yes—
1197C22×C4C24×C4711yescharacteristic
1198C22×C4C24×C4711yescharacteristic
1199C22×C4C24×C4711yescharacteristic
1200C22×C4C24×C4711yescharacteristic
1201C22×C4C24×C4711yescharacteristic
1202C22×C4C24×C4711yescharacteristic
1203C22×C4C24×C4711yescharacteristic
1204C22×C4C24×C4711yescharacteristic
1205C22×C4C24×C4711yescharacteristic
1206C22×C4C24×C4711yescharacteristic
1207C22×C4C24×C4711yescharacteristic
1208C22×C4C24×C4711yescharacteristic
1209C22×C4C24×C4711yescharacteristic
1210C22×C4C24×C4711yescharacteristic
1211C22×C4C24×C4711yescharacteristic
1212C22×C4C24×C4711yescharacteristic
1213C22×C4C24×C4711yescharacteristic
1214C22×C4C24×C4711yescharacteristic
1215C22×C4C24×C4711yescharacteristic
1216C22×C4C24×C4711yescharacteristic
1217C22×C4C24×C4711yescharacteristic
1218C22×C4C24×C4711yescharacteristic
1219C22×C4C24×C4711yescharacteristic
1220C22×C4C24×C4711yescharacteristic
1221C22×C4C24×C4711yescharacteristic
1222C22×C4C24×C4711yescharacteristic
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4#41×C4714yes—
1299C42—22no—
1300C42—22no—
1301C42—22no—
1302C42—22no—
1303C42—22no—
1304C42—22no—
1305C42—22no—
1306C42—22no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—44no—
1347C23—44no—
1348C23—44no—
1349C23—82no—
1350C23—82no—
1351C23—82no—
1352C23—82no—
1353C23C2×#41×C4712yes—
1354C23C2×#41×C4712yes—
1355C23C2×#41×C4712yes—
1356C23C2×#41×C4712yes—
1357C23C25×C4711yescharacteristic
1358Q8—82no—
1359D4—28no—
1360D4—44no—
1361D4—82no—
1362D4—82no—
1363D4—82no—
1364D4—82no—
1365D4—82no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—44no—
1438C2×C4—44no—
1439C2×C4—44no—
1440C2×C4—44no—
1441C2×C4—44no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—82no—
1446C2×C4—82no—
1447C2×C4C2×#41×C4712yes—
1448C2×C4C2×#41×C4712yes—
1449C2×C4C2×#41×C4712yes—
1450C2×C4C2×#41×C4712yes—
1451C2×C4C2×#41×C4712yes—
1452C2×C4H(5,𝔽2)×C4712yes—
1453C2×C4H(5,𝔽2)×C4712yes—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—88no—
1489C22C47×#52914yes—
1490C22C22×#41×C4711yescharacteristic
1491C22C22×#41×C4711yescharacteristic
1492C22C22×#41×C4711yescharacteristic
1493C22C2×H(5,𝔽2)×C4711yescharacteristic
1494C22C2×H(5,𝔽2)×C4711yescharacteristic
1495C22C47×#58511yescharacteristic
1496C22C47×#58511yescharacteristic
1497C4—22no—
1498C4—22no—
1499C4—22no—
1500C4—22no—
1501C4—22no—
1502C4—22no—
1503C4—22no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C2—24no—
1524C2—42no—
1525C2—81no—
1526C2—81no—
1527C2—81no—
1528C2C2×C47×#52911yescharacteristic
1529C2C47×#345911yescharacteristic
1530C2C47×#346011yescharacteristic
1531C2C47×#351311yescharacteristic
1532C2C47×#351411yescharacteristic
1533C2C47×#351911yescharacteristic
1534C2C47×#352111yescharacteristic
subgroupG/H
center, socleC23×C47C25
commutator, Frattini, cosocleC23C25×C47
prime radicalC47×#2424C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#2866C2semidirect
2. C47×#2860C2semidirect
3. C47×#2853C2semidirect
4. C47×#2850C2semidirect
5. C47×#2651C2semidirect
6. C47×#2650C2semidirect
7. C47×#2649C2semidirect
8. C47×#2648C2semidirect
9. C47×#2597C2semidirect
10. C47×#2596C2semidirect
11. C47×#2560C2semidirect
12. C47×#2559C2semidirect
13. C47×#2529C2semidirect
14. C47×#2526C2semidirect
15. C47×#2505C2semidirect
16. C47×#2481C2semidirect
17. C47×#2480C2semidirect
18. C47×#2474C2semidirect
19. C47×#2472C2semidirect
20. C47×#2471C2semidirect
21. C47×#2449C2semidirect
22. C47×#2444C2semidirect
24. C47×#2418C2semidirect
25. C47×#2329C2semidirect
26. C47×#2325C2semidirect
27. C47×#2321C2semidirect
28. C47×#2321C2semidirect
29. C47×#2290C2semidirect
30. C2×C47×#388C2semidirect
31. C42×D4×C47C2semidirect
33. C2×#126×C47C22semidirect
37. C2×C22⋊Q8×C47C22semidirect
46. C2×#117×C47C22semidirect
52. C22×C42×C47C22semidirect
53. C47×#400C22semidirect
54. C47×#400C22semidirect
55. C47×#400C22semidirect
56. C47×#400C22semidirect
57. C47×#400C22semidirect
58. C47×#400C22semidirect
60. C47×#399C22semidirect
61. C47×#398C22semidirect
62. C47×#398C22semidirect
68. C47×#397C22semidirect
69. C47×#397C22semidirect
70. C47×#397C22semidirect
73. C47×#396C22semidirect
74. C47×#396C22semidirect
75. C47×#395C22semidirect
82. C47×#394C22semidirect
85. C47×#391C22semidirect
86. C47×#391C22semidirect
93. C47×#389C22semidirect
94. C47×#389C22semidirect
95. C47×#389C22semidirect
96. C47×#389C22semidirect
121. C47×#388C22semidirect
122. C47×#388C22semidirect
123. C47×#388C22semidirect
124. C47×#388C22semidirect
125. C47×#388C22semidirect
126. C47×#388C22semidirect
127. C47×#387C22semidirect
128. C47×#387C22semidirect
129. C47×#387C22semidirect
130. C47×#387C22semidirect
131. C47×#387C22semidirect
132. C47×#387C22semidirect
133. C47×#387C22semidirect
134. C47×#387C22semidirect
135. C47×#387C22semidirect
136. C47×#387C22semidirect
137. C47×#387C22semidirect
138. C47×#387C22semidirect
139. C47×#387C22semidirect
140. C47×#387C22semidirect
153. C47×#386C22semidirect
154. C47×#386C22semidirect
155. C47×#386C22semidirect
162. C47×#385C22semidirect
163. C47×#385C22semidirect
164. C47×#385C22semidirect
165. C47×#382C22semidirect
166. C47×#381C22semidirect
171. C4×C4⋊C4×C47C22semidirect
172. C4×C4⋊C4×C47C22semidirect
173. C4×C4⋊C4×C47C22semidirect
174. C4×C4⋊C4×C47C22semidirect
179. C4×C22⋊C4×C47C22semidirect
180. C4×C22⋊C4×C47C22semidirect
181. C4×C22⋊C4×C47C22semidirect
182. C4×C22⋊C4×C47C22semidirect
183. C47×#376C22semidirect
186. C43×C47C22semidirect
686. #35066C47direct (N × H)
756. #2866C2×C47semidirect
757. #2860C2×C47semidirect
758. #2853C2×C47semidirect
759. #2850C2×C47semidirect
760. #2651C2×C47semidirect
761. #2650C2×C47semidirect
762. #2649C2×C47semidirect
763. #2648C2×C47semidirect
764. #2597C2×C47semidirect
765. #2596C2×C47semidirect
766. #2560C2×C47semidirect
767. #2559C2×C47semidirect
768. #2529C2×C47semidirect
769. #2526C2×C47semidirect
770. #2505C2×C47semidirect
771. #2481C2×C47semidirect
772. #2480C2×C47semidirect
773. #2474C2×C47semidirect
774. #2472C2×C47semidirect
775. #2471C2×C47semidirect
776. #2449C2×C47semidirect
777. #2444C2×C47semidirect
779. #2418C2×C47semidirect
780. #2329C2×C47semidirect
781. #2325C2×C47semidirect
782. #2321C2×C47semidirect
783. #2321C2×C47semidirect
784. #2290C2×C47semidirect
785. C2×#388C2×C47semidirect
786. C42×D4C2×C47semidirect
800. C2×#126C22×C47semidirect
804. C2×C22⋊Q8C22×C47semidirect
813. C2×#117C22×C47semidirect
819. C22×C42C22×C47semidirect
820. #400C22×C47semidirect
821. #400C22×C47semidirect
822. #400C22×C47semidirect
823. #400C22×C47semidirect
824. #400C22×C47semidirect
825. #400C22×C47semidirect
827. #399C22×C47semidirect
828. #398C22×C47semidirect
829. #398C22×C47semidirect
835. #397C22×C47semidirect
836. #397C22×C47semidirect
837. #397C22×C47semidirect
840. #396C22×C47semidirect
841. #396C22×C47semidirect
842. #395C22×C47semidirect
849. #394C22×C47semidirect
852. #391C22×C47semidirect
853. #391C22×C47semidirect
860. #389C22×C47semidirect
861. #389C22×C47semidirect
862. #389C22×C47semidirect
863. #389C22×C47semidirect
888. #388C22×C47semidirect
889. #388C22×C47semidirect
890. #388C22×C47semidirect
891. #388C22×C47semidirect
892. #388C22×C47semidirect
893. #388C22×C47semidirect
894. #387C22×C47semidirect
895. #387C22×C47semidirect
896. #387C22×C47semidirect
897. #387C22×C47semidirect
898. #387C22×C47semidirect
899. #387C22×C47semidirect
900. #387C22×C47semidirect
901. #387C22×C47semidirect
902. #387C22×C47semidirect
903. #387C22×C47semidirect
904. #387C22×C47semidirect
905. #387C22×C47semidirect
906. #387C22×C47semidirect
907. #387C22×C47semidirect
920. #386C22×C47semidirect
921. #386C22×C47semidirect
922. #386C22×C47semidirect
929. #385C22×C47semidirect
930. #385C22×C47semidirect
931. #385C22×C47semidirect
932. #382C22×C47semidirect
933. #381C22×C47semidirect
938. C4×C4⋊C4C22×C47semidirect
939. C4×C4⋊C4C22×C47semidirect
940. C4×C4⋊C4C22×C47semidirect
941. C4×C4⋊C4C22×C47semidirect
946. C4×C22⋊C4C22×C47semidirect
947. C4×C22⋊C4C22×C47semidirect
948. C4×C22⋊C4C22×C47semidirect
949. C4×C22⋊C4C22×C47semidirect
950. #376C22×C47semidirect
953. C43C22×C47semidirect
954. C47#35066direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#28662
C47×#28602
C47×#28532
C47×#28502
C47×#26512
C47×#26502
C47×#26492
C47×#26482
C47×#25972
C47×#25962
C47×#25602
C47×#25592
C47×#25292
C47×#25262
C47×#25052
C47×#24812
C47×#24802
C47×#24742
C47×#24722
C47×#24712
C47×#24492
C47×#24442
C47×#24242
C47×#24182
C47×#23292
C47×#23252
C47×#23212
C47×#22902
C2×C47×#3882
C42×D4×C472
#3506647