Finite Group Databasebeta

← C47×#36746 #26076444

Subgroups — C47×#36746 #26076444

Order 12032.

2152 conjugacy classes of subgroups.

The subgroup lattice has 1626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C47×#540C211yesmaximal, characteristic, complemented
2C2×C47×#539C211yesmaximal, characteristic, complemented
3C47×#2854C211yesmaximal, characteristic, complemented
4C47×#2850C211yesmaximal, characteristic, complemented
5C47×#2719C211yesmaximal, characteristic, complemented
6C47×#2711C211yesmaximal, characteristic, complemented
7C47×#2709C211yesmaximal, characteristic, complemented
8C47×#2708C211yesmaximal, characteristic, complemented
9C47×#2706C211yesmaximal, characteristic, complemented
10C47×#2703C211yesmaximal, characteristic, complemented
11C47×#2695C211yesmaximal, characteristic, complemented
12C47×#2693C211yesmaximal, characteristic, complemented
13C47×#2691C211yesmaximal, characteristic, complemented
14C47×#2690C211yesmaximal, characteristic, complemented
15C47×#2688C211yesmaximal, characteristic, complemented
16C47×#2687C211yesmaximal, characteristic, complemented
17C47×#2676C211yesmaximal, characteristic, complemented
18C47×#2673C211yesmaximal, characteristic, complemented
19C47×#2672C211yesmaximal, characteristic, complemented
20C47×#2671C211yesmaximal, characteristic, complemented
21C47×#2663C211yesmaximal, characteristic, complemented
22C47×#2661C211yesmaximal, characteristic, complemented
23C47×#2611C211yesmaximal, characteristic, complemented
24C47×#2603C211yesmaximal, characteristic, complemented
25C47×#2602C211yesmaximal, characteristic, complemented
26C47×#2601C211yesmaximal, characteristic, complemented
27C47×#2591C211yesmaximal, characteristic, complemented
28C47×#2562C211yesmaximal, characteristic, complemented
29C47×#2414C211yesmaximal, characteristic, complemented
30C47×#2413C211yesmaximal, characteristic, complemented
31C47×#2290C211yesmaximal, characteristic, complemented
32C47×#540—28no—
33C47×#539—28no—
34C2×#127×C47C2211yescharacteristic
35C2×#126×C47C2211yescharacteristic
36C2×#126×C47C2211yescharacteristic
37C2×#125×C47C2211yescharacteristic
38C2×#125×C47C2211yescharacteristic
39C2×#125×C47C2211yescharacteristic
40C2×#124×C47C2211yescharacteristic
41C2×#123×C47C2211yescharacteristic
42C2×#123×C47C2211yescharacteristic
43C2×#123×C47C2211yescharacteristic
44C2×#123×C47C2211yescharacteristic
45C2×#123×C47C2211yescharacteristic
46C2×#123×C47C2211yescharacteristic
47C2×#123×C47C2211yescharacteristic
48C2×#123×C47C2211yescharacteristic
49C2×#123×C47C2211yescharacteristic
50C2×C22⋊Q8×C47C2211yescharacteristic
51C2×C22⋊Q8×C47C2211yescharacteristic
52C2×C22⋊Q8×C47C2211yescharacteristic
53C2×#121×C47C2211yescharacteristic
54C2×#121×C47C2211yescharacteristic
55C2×#121×C47C2211yescharacteristic
56C2×#121×C47C2211yescharacteristic
57C2×#121×C47C2211yescharacteristic
58C2×#121×C47C2211yescharacteristic
59C2×#121×C47C2211yescharacteristic
60C2×#121×C47C2211yescharacteristic
61C2×#121×C47C2211yescharacteristic
62C2×C4×D4×C47C2211yescharacteristic
63C2×C4×D4×C47C2211yescharacteristic
64C2×C4×D4×C47C2211yescharacteristic
65C2×#117×C47C2211yescharacteristic
66C2×#117×C47C2211yescharacteristic
67C22×C4⋊C4×C47C2211yescharacteristic
68C22×C42×C47C2211yescharacteristic
69C47×#400C2211yescharacteristic
70C47×#400C2211yescharacteristic
71C47×#400C2211yescharacteristic
72C47×#400C2211yescharacteristic
73C47×#400C2211yescharacteristic
74C47×#400C2211yescharacteristic
75C47×#399C2211yescharacteristic
76C47×#399C2211yescharacteristic
77C47×#398C2211yescharacteristic
78C47×#398C2211yescharacteristic
79C47×#398C2211yescharacteristic
80C47×#398C2211yescharacteristic
81C47×#398C2211yescharacteristic
82C47×#398C2211yescharacteristic
83C47×#397C2211yescharacteristic
84C47×#397C2211yescharacteristic
85C47×#397C2211yescharacteristic
86C47×#397C2211yescharacteristic
87C47×#397C2211yescharacteristic
88C47×#397C2211yescharacteristic
89C47×#396C2211yescharacteristic
90C47×#396C2211yescharacteristic
91C47×#396C2211yescharacteristic
92C47×#396C2211yescharacteristic
93C47×#395C2211yescharacteristic
94C47×#394C2211yescharacteristic
95C47×#394C2211yescharacteristic
96C47×#394C2211yescharacteristic
97C47×#394C2211yescharacteristic
98C47×#394C2211yescharacteristic
99C47×#394C2211yescharacteristic
100C47×#394C2211yescharacteristic
101C47×#394C2211yescharacteristic
102C47×#394C2211yescharacteristic
103C47×#394C2211yescharacteristic
104C47×#394C2211yescharacteristic
105C47×#394C2211yescharacteristic
106C47×#394C2211yescharacteristic
107C47×#394C2211yescharacteristic
108C47×#394C2211yescharacteristic
109C47×#393C2211yescharacteristic
110C47×#392C2211yescharacteristic
111C47×#392C2211yescharacteristic
112C47×#392C2211yescharacteristic
113C47×#392C2211yescharacteristic
114C47×#392C2211yescharacteristic
115C47×#392C2211yescharacteristic
116C47×#392C2211yescharacteristic
117C47×#391C2211yescharacteristic
118C47×#390C2211yescharacteristic
119C47×#390C2211yescharacteristic
120C47×#390C2211yescharacteristic
121C47×#390C2211yescharacteristic
122C47×#390C2211yescharacteristic
123C47×#390C2211yescharacteristic
124C47×#389C2211yescharacteristic
125C47×#389C2211yescharacteristic
126C47×#389C2211yescharacteristic
127C47×#389C2211yescharacteristic
128C47×#389C2211yescharacteristic
129C47×#388C2211yescharacteristic
130C47×#388C2211yescharacteristic
131C47×#388C2211yescharacteristic
132C47×#388C2211yescharacteristic
133C47×#388C2211yescharacteristic
134C47×#388C2211yescharacteristic
135C47×#388C2211yescharacteristic
136C47×#388C2211yescharacteristic
137C47×#388C2211yescharacteristic
138C47×#388C2211yescharacteristic
139C47×#388C2211yescharacteristic
140C47×#388C2211yescharacteristic
141C47×#388C2211yescharacteristic
142C47×#388C2211yescharacteristic
143C47×#388C2211yescharacteristic
144C47×#388C2211yescharacteristic
145C47×#387C2211yescharacteristic
146C47×#387C2211yescharacteristic
147C47×#387C2211yescharacteristic
148C47×#387C2211yescharacteristic
149C47×#387C2211yescharacteristic
150C47×#387C2211yescharacteristic
151C47×#386C2211yescharacteristic
152C47×#386C2211yescharacteristic
153C47×#386C2211yescharacteristic
154C47×#386C2211yescharacteristic
155C47×#386C2211yescharacteristic
156C47×#386C2211yescharacteristic
157C47×#386C2211yescharacteristic
158C47×#386C2211yescharacteristic
159C47×#386C2211yescharacteristic
160C47×#386C2211yescharacteristic
161C47×#386C2211yescharacteristic
162C47×#386C2211yescharacteristic
163C47×#386C2211yescharacteristic
164C47×#386C2211yescharacteristic
165C47×#386C2211yescharacteristic
166C47×#386C2211yescharacteristic
167C47×#386C2211yescharacteristic
168C47×#385C2211yescharacteristic
169C47×#385C2211yescharacteristic
170C47×#385C2211yescharacteristic
171C47×#385C2211yescharacteristic
172C47×#385C2211yescharacteristic
173C47×#385C2211yescharacteristic
174C47×#385C2211yescharacteristic
175C47×#385C2211yescharacteristic
176C47×#385C2211yescharacteristic
177C47×#382C2211yescharacteristic
178C47×#381C2211yescharacteristic
179C47×#380C2211yescharacteristic
180C47×#380C2211yescharacteristic
181C47×#380C2211yescharacteristic
182C47×#380C2211yescharacteristic
183C47×#380C2211yescharacteristic
184C47×#380C2211yescharacteristic
185C4×C4⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C4×C22⋊C4×C47C2211yescharacteristic
188C47×#376C2211yescharacteristic
189C22×Q8×C47C2311yescharacteristic
190C22×D4×C47C2311yescharacteristic
191C22×D4×C47C2311yescharacteristic
192C22×D4×C47C2311yescharacteristic
193C22×D4×C47C2311yescharacteristic
194C22×D4×C47C2311yescharacteristic
195C22×D4×C47C2311yescharacteristic
196C22×D4×C47C2311yescharacteristic
197C22×D4×C47C2311yescharacteristic
198C22×D4×C47C2311yescharacteristic
199C22×D4×C47C2311yescharacteristic
200C22×D4×C47C2311yescharacteristic
201C22×D4×C47C2311yescharacteristic
202C22×D4×C47C2311yescharacteristic
203C22×D4×C47C2311yescharacteristic
204C22×D4×C47C2311yescharacteristic
205C23×C4×C47C2311yescharacteristic
206C23×C4×C47C2311yescharacteristic
207C23×C4×C47C2311yescharacteristic
208C23×C4×C47C2311yescharacteristic
209C23×C4×C47C2311yescharacteristic
210C23×C4×C47C2311yescharacteristic
211C23×C4×C47C2311yescharacteristic
212C23×C4×C47C2311yescharacteristic
213C23×C4×C47C2311yescharacteristic
214C23×C4×C47C2311yescharacteristic
215#127×C47—24no—
216#126×C47—24no—
217#126×C47—24no—
218#125×C47—24no—
219#125×C47—24no—
220#125×C47—24no—
221#124×C47—42no—
222#123×C47—24no—
223#123×C47—24no—
224#123×C47—24no—
225#123×C47—24no—
226#123×C47—24no—
227#123×C47—24no—
228#123×C47—24no—
229#123×C47—24no—
230#123×C47—42no—
231C22⋊Q8×C47—24no—
232C22⋊Q8×C47—24no—
233C22⋊Q8×C47—24no—
234#121×C47—24no—
235#121×C47—24no—
236#121×C47—24no—
237#121×C47—24no—
238#121×C47—24no—
239#121×C47—24no—
240#121×C47—24no—
241#121×C47—42no—
242#121×C47—42no—
243C4×D4×C47—24no—
244C4×D4×C47—24no—
245C4×D4×C47D418yescomplemented
246#117×C47—24no—
247#117×C47—42no—
248C2×C4⋊C4×C47—24no—
249C2×C4⋊C4×C47C2311yescharacteristic
250C2×C4⋊C4×C47C2311yescharacteristic
251C2×C4⋊C4×C47C2311yescharacteristic
252C2×C4⋊C4×C47C2311yescharacteristic
253C2×C4⋊C4×C47C2311yescharacteristic
254C2×C4⋊C4×C47C2311yescharacteristic
255C2×C4⋊C4×C47C2311yescharacteristic
256C2×C4⋊C4×C47C2311yescharacteristic
257C2×C4⋊C4×C47C2311yescharacteristic
258C2×C4⋊C4×C47C2311yescharacteristic
259C2×C4⋊C4×C47C2311yescharacteristic
260C2×C4⋊C4×C47C2311yescharacteristic
261C2×C4⋊C4×C47C2311yescharacteristic
262C2×C4⋊C4×C47C2311yescharacteristic
263C2×C4⋊C4×C47C2311yescharacteristic
264C2×C4⋊C4×C47C2311yescharacteristic
265C2×C4⋊C4×C47C2311yescharacteristic
266C2×C4⋊C4×C47C2311yescharacteristic
267C2×C4⋊C4×C47C2311yescharacteristic
268C2×C4⋊C4×C47C2311yescharacteristic
269C2×C4⋊C4×C47C2311yescharacteristic
270C2×C4⋊C4×C47C2311yescharacteristic
271C2×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×C22⋊C4×C47C2311yescharacteristic
284C2×C22⋊C4×C47C2311yescharacteristic
285C2×C22⋊C4×C47C2311yescharacteristic
286C2×C22⋊C4×C47C2311yescharacteristic
287C2×C22⋊C4×C47C2311yescharacteristic
288C2×C22⋊C4×C47C2311yescharacteristic
289C2×C22⋊C4×C47C2311yescharacteristic
290C2×C22⋊C4×C47C2311yescharacteristic
291C2×C22⋊C4×C47C2311yescharacteristic
292C2×C22⋊C4×C47C2311yescharacteristic
293C2×C22⋊C4×C47C2311yescharacteristic
294C2×C22⋊C4×C47C2311yescharacteristic
295C2×C22⋊C4×C47C2311yescharacteristic
296C2×C22⋊C4×C47C2311yescharacteristic
297C2×C22⋊C4×C47C2311yescharacteristic
298C2×C22⋊C4×C47C2311yescharacteristic
299C2×C22⋊C4×C47C2311yescharacteristic
300C2×C22⋊C4×C47C2311yescharacteristic
301C2×C22⋊C4×C47C2311yescharacteristic
302C2×C22⋊C4×C47C2311yescharacteristic
303C2×C22⋊C4×C47C2311yescharacteristic
304C2×C22⋊C4×C47C2311yescharacteristic
305C2×C22⋊C4×C47C2311yescharacteristic
306C2×C22⋊C4×C47C2311yescharacteristic
307C2×C22⋊C4×C47C2311yescharacteristic
308C2×C22⋊C4×C47C2311yescharacteristic
309C2×C22⋊C4×C47C2311yescharacteristic
310C2×C22⋊C4×C47C2311yescharacteristic
311C2×C22⋊C4×C47C2311yescharacteristic
312C2×C22⋊C4×C47C2311yescharacteristic
313C2×C22⋊C4×C47C2311yescharacteristic
314C2×C22⋊C4×C47C2311yescharacteristic
315C2×C22⋊C4×C47C2311yescharacteristic
316C2×C22⋊C4×C47C2311yescharacteristic
317C2×C22⋊C4×C47C2311yescharacteristic
318C2×C22⋊C4×C47C2311yescharacteristic
319C2×C22⋊C4×C47C2311yescharacteristic
320C2×C22⋊C4×C47C2311yescharacteristic
321C2×C22⋊C4×C47C2311yescharacteristic
322C2×C22⋊C4×C47C2311yescharacteristic
323C2×C22⋊C4×C47C2311yescharacteristic
324C2×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×C42×C47—42no—
334C2×C42×C47C2311yescharacteristic
335C2×C42×C47C2311yescharacteristic
336C2×C42×C47C2311yescharacteristic
337C2×C42×C47C2311yescharacteristic
338C2×C42×C47C2311yescharacteristic
339C2×C42×C47C2311yescharacteristic
340C2×C42×C47C2311yescharacteristic
341C2×C42×C47C2311yescharacteristic
342C2×C42×C47C2311yescharacteristic
343#95×C47C2311yescharacteristic
344#95×C47C2311yescharacteristic
345#95×C47C2311yescharacteristic
346#95×C47C2311yescharacteristic
347#95×C47C2311yescharacteristic
348#95×C47C2311yescharacteristic
349#95×C47C2311yescharacteristic
350#95×C47C2311yescharacteristic
351#95×C47C2311yescharacteristic
352#95×C47C2311yescharacteristic
353#95×C47C2311yescharacteristic
354#95×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
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
379C24×C47C2411yescharacteristic
380C24×C47C2411yescharacteristic
381C24×C47C2411yescharacteristic
382C24×C47C2411yescharacteristic
383C24×C47C2411yescharacteristic
384C24×C47C2411yescharacteristic
385C2×Q8×C47—22no—
386C2×Q8×C47—41no—
387C2×Q8×C47—41no—
388C2×D4×C47—22no—
389C2×D4×C47—22no—
390C2×D4×C47—22no—
391C2×D4×C47—22no—
392C2×D4×C47—22no—
393C2×D4×C47—22no—
394C2×D4×C47—22no—
395C2×D4×C47—22no—
396C2×D4×C47—22no—
397C2×D4×C47—22no—
398C2×D4×C47—22no—
399C2×D4×C47—22no—
400C2×D4×C47—41no—
401C2×D4×C47—41no—
402C2×D4×C47—41no—
403C2×D4×C47—41no—
404C2×D4×C47—41no—
405C2×D4×C47—41no—
406C2×D4×C47—41no—
407C2×D4×C47—41no—
408C2×D4×C47—41no—
409C2×D4×C47—41no—
410C2×D4×C47—41no—
411C2×D4×C47—41no—
412C2×D4×C47—41no—
413C2×D4×C47—41no—
414C2×D4×C47—41no—
415C2×D4×C47—41no—
416C2×D4×C47—41no—
417C2×D4×C47—41no—
418C2×D4×C47—41no—
419C2×D4×C47—41no—
420C2×D4×C47—41no—
421C2×D4×C47—41no—
422C2×D4×C47—41no—
423C2×D4×C47—41no—
424C2×D4×C47—41no—
425C2×D4×C47—41no—
426C2×D4×C47—41no—
427C2×D4×C47—41no—
428C2×D4×C47—41no—
429C2×D4×C47—41no—
430C2×D4×C47—41no—
431C2×D4×C47—41no—
432C2×D4×C47C2×D414yes—
433C22×C4×C47—22no—
434C22×C4×C47—22no—
435C22×C4×C47—22no—
436C22×C4×C47—22no—
437C22×C4×C47—22no—
438C22×C4×C47—22no—
439C22×C4×C47—22no—
440C22×C4×C47—41no—
441C22×C4×C47—41no—
442C22×C4×C47—41no—
443C22×C4×C47—41no—
444C22×C4×C47—41no—
445C22×C4×C47—41no—
446C22×C4×C47—41no—
447C22×C4×C47—41no—
448C22×C4×C47—41no—
449C22×C4×C47—41no—
450C22×C4×C47—41no—
451C22×C4×C47—41no—
452C22×C4×C47—41no—
453C22×C4×C47—41no—
454C22×C4×C47—41no—
455C22×C4×C47—41no—
456C22×C4×C47—41no—
457C22×C4×C47—41no—
458C22×C4×C47—41no—
459C22×C4×C47—41no—
460C22×C4×C47—41no—
461C22×C4×C47C2×D414yes—
462C22×C4×C47C2×D414yes—
463C22×C4×C47C2411yescharacteristic
464C22×C4×C47C2411yescharacteristic
465C22×C4×C47C2411yescharacteristic
466C22×C4×C47C2411yescharacteristic
467C22×C4×C47C2411yescharacteristic
468C22×C4×C47C2411yescharacteristic
469C22×C4×C47C2411yescharacteristic
470C22×C4×C47C2411yescharacteristic
471C22×C4×C47C2411yescharacteristic
472C22×C4×C47C2411yescharacteristic
473C22×C4×C47C2411yescharacteristic
474C22×C4×C47C2411yescharacteristic
475C22×C4×C47C2411yescharacteristic
476C22×C4×C47C2411yescharacteristic
477C22×C4×C47C2411yescharacteristic
478C22×C4×C47C2411yescharacteristic
479C22×C4×C47C2411yescharacteristic
480C22×C4×C47C2411yescharacteristic
481C22×C4×C47C2411yescharacteristic
482C22×C4×C47C2411yescharacteristic
483C22×C4×C47C2411yescharacteristic
484C22×C4×C47C2411yescharacteristic
485C22×C4×C47C2411yescharacteristic
486C22×C4×C47C2411yescharacteristic
487C22×C4×C47C2411yescharacteristic
488C4⋊C4×C47—22no—
489C4⋊C4×C47—22no—
490C4⋊C4×C47—22no—
491C4⋊C4×C47—22no—
492C4⋊C4×C47—22no—
493C4⋊C4×C47—22no—
494C4⋊C4×C47—22no—
495C4⋊C4×C47—22no—
496C4⋊C4×C47—22no—
497C4⋊C4×C47—22no—
498C4⋊C4×C47—22no—
499C4⋊C4×C47—22no—
500C4⋊C4×C47—22no—
501C4⋊C4×C47—22no—
502C4⋊C4×C47—22no—
503C4⋊C4×C47—22no—
504C4⋊C4×C47—22no—
505C4⋊C4×C47—22no—
506C4⋊C4×C47—22no—
507C4⋊C4×C47—22no—
508C4⋊C4×C47—22no—
509C4⋊C4×C47—22no—
510C4⋊C4×C47—41no—
511C4⋊C4×C47—41no—
512C4⋊C4×C47—41no—
513C4⋊C4×C47—41no—
514C4⋊C4×C47—41no—
515C4⋊C4×C47—41no—
516C4⋊C4×C47—41no—
517C4⋊C4×C47—41no—
518C4⋊C4×C47—41no—
519C4⋊C4×C47—41no—
520C4⋊C4×C47—41no—
521C4⋊C4×C47C2×D414yes—
522C22⋊C4×C47—22no—
523C22⋊C4×C47—22no—
524C22⋊C4×C47—22no—
525C22⋊C4×C47—22no—
526C22⋊C4×C47—22no—
527C22⋊C4×C47—22no—
528C22⋊C4×C47—22no—
529C22⋊C4×C47—22no—
530C22⋊C4×C47—22no—
531C22⋊C4×C47—22no—
532C22⋊C4×C47—22no—
533C22⋊C4×C47—22no—
534C22⋊C4×C47—22no—
535C22⋊C4×C47—22no—
536C22⋊C4×C47—22no—
537C22⋊C4×C47—22no—
538C22⋊C4×C47—22no—
539C22⋊C4×C47—22no—
540C22⋊C4×C47—22no—
541C22⋊C4×C47—41no—
542C22⋊C4×C47—41no—
543C22⋊C4×C47—41no—
544C22⋊C4×C47—41no—
545C22⋊C4×C47—41no—
546C22⋊C4×C47—41no—
547C22⋊C4×C47—41no—
548C22⋊C4×C47—41no—
549C22⋊C4×C47—41no—
550C22⋊C4×C47—41no—
551C22⋊C4×C47—41no—
552C22⋊C4×C47—41no—
553C22⋊C4×C47—41no—
554C22⋊C4×C47—41no—
555C22⋊C4×C47—41no—
556C22⋊C4×C47—41no—
557C22⋊C4×C47—41no—
558C22⋊C4×C47—41no—
559C22⋊C4×C47—41no—
560C22⋊C4×C47—41no—
561C22⋊C4×C47—41no—
562C22⋊C4×C47—41no—
563C22⋊C4×C47—41no—
564C22⋊C4×C47—41no—
565C22⋊C4×C47—41no—
566C22⋊C4×C47—41no—
567C22⋊C4×C47—41no—
568C22⋊C4×C47—41no—
569C22⋊C4×C47—41no—
570C22⋊C4×C47C2×D414yes—
571C22⋊C4×C47C2×D414yes—
572C42×C47—22no—
573C42×C47—22no—
574C42×C47—22no—
575C42×C47—22no—
576C42×C47—41no—
577C42×C47—41no—
578C42×C47—41no—
579C42×C47—41no—
580C42×C47C2×D414yes—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—21no—
601C23×C47—21no—
602C23×C47—21no—
603C23×C47—21no—
604C23×C47—21no—
605C23×C47—21no—
606C23×C47—21no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47C22×D412yes—
622C23×C47C22×D412yes—
623C23×C47C2511yescharacteristic
624Q8×C47—82no—
625D4×C47—44no—
626D4×C47—44no—
627D4×C47—44no—
628D4×C47—82no—
629D4×C47—82no—
630D4×C47—82no—
631D4×C47—82no—
632D4×C47—82no—
633D4×C47—82no—
634D4×C47—82no—
635D4×C47—82no—
636D4×C47—82no—
637D4×C47—82no—
638D4×C47—82no—
639D4×C47—82no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—21no—
699C2×C4×C47—21no—
700C2×C4×C47—21no—
701C2×C4×C47—21no—
702C2×C4×C47—21no—
703C2×C4×C47—21no—
704C2×C4×C47—21no—
705C2×C4×C47—21no—
706C2×C4×C47—21no—
707C2×C4×C47—21no—
708C2×C4×C47—21no—
709C2×C4×C47—44no—
710C2×C4×C47—44no—
711C2×C4×C47—44no—
712C2×C4×C47—44no—
713C2×C4×C47—44no—
714C2×C4×C47—44no—
715C2×C4×C47—82no—
716C2×C4×C47—82no—
717C2×C4×C47—82no—
718C2×C4×C47—82no—
719C2×C4×C47C22×D412yes—
720C2×C4×C47C22×D412yes—
721C2×C4×C47C22×D412yes—
722C2×C4×C47C22×D412yes—
723C2×C4×C47C22×D412yes—
724C2×C4×C47H(5,𝔽2)12yes—
725#36746C4711yesmaximal, characteristic, direct product factor, Sylow
726C22×C47—22no—
727C22×C47—22no—
728C22×C47—22no—
729C22×C47—22no—
730C22×C47—22no—
731C22×C47—22no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47—41no—
747C22×C47—41no—
748C22×C47—41no—
749C22×C47—41no—
750C22×C47—41no—
751C22×C47—41no—
752C22×C47—41no—
753C22×C47—41no—
754C22×C47—41no—
755C22×C47—41no—
756C22×C47—41no—
757C22×C47—41no—
758C22×C47—41no—
759C22×C47—41no—
760C22×C47—41no—
761C22×C47—41no—
762C22×C47—41no—
763C22×C47—41no—
764C22×C47—41no—
765C22×C47—41no—
766C22×C47—41no—
767C22×C47—41no—
768C22×C47C23×D411yescharacteristic
769C22×C47C2×H(5,𝔽2)11yescharacteristic
770C22×C47#58511yescharacteristic
771C22×C47#58511yescharacteristic
772C22×C47#58511yescharacteristic
773C22×C47#58511yescharacteristic
774C22×C47#58511yescharacteristic
775C4×C47—22no—
776C4×C47—22no—
777C4×C47—22no—
778C4×C47—22no—
779C4×C47—22no—
780C4×C47—22no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786C4×C47—41no—
787C4×C47—41no—
788C4×C47—41no—
789C4×C47—41no—
790C4×C47—41no—
791C4×C47—41no—
792C4×C47—41no—
793C4×C47—41no—
794C4×C47—41no—
795C4×C47—41no—
796C4×C47—41no—
797C4×C47—41no—
798C4×C47—41no—
799C4×C47—41no—
800C2×#540C2×C4711yescharacteristic, complemented
801C2×#539C2×C4711yescharacteristic, complemented
802#2854C2×C4711yescharacteristic, complemented
803#2850C2×C4711yescharacteristic, complemented
804#2719C2×C4711yescharacteristic, complemented
805#2711C2×C4711yescharacteristic, complemented
806#2709C2×C4711yescharacteristic, complemented
807#2708C2×C4711yescharacteristic, complemented
808#2706C2×C4711yescharacteristic, complemented
809#2703C2×C4711yescharacteristic, complemented
810#2695C2×C4711yescharacteristic, complemented
811#2693C2×C4711yescharacteristic, complemented
812#2691C2×C4711yescharacteristic, complemented
813#2690C2×C4711yescharacteristic, complemented
814#2688C2×C4711yescharacteristic, complemented
815#2687C2×C4711yescharacteristic, complemented
816#2676C2×C4711yescharacteristic, complemented
817#2673C2×C4711yescharacteristic, complemented
818#2672C2×C4711yescharacteristic, complemented
819#2671C2×C4711yescharacteristic, complemented
820#2663C2×C4711yescharacteristic, complemented
821#2661C2×C4711yescharacteristic, complemented
822#2611C2×C4711yescharacteristic, complemented
823#2603C2×C4711yescharacteristic, complemented
824#2602C2×C4711yescharacteristic, complemented
825#2601C2×C4711yescharacteristic, complemented
826#2591C2×C4711yescharacteristic, complemented
827#2562C2×C4711yescharacteristic, complemented
828#2414C2×C4711yescharacteristic, complemented
829#2413C2×C4711yescharacteristic, complemented
830#2290C2×C4711yescharacteristic, complemented
831C2×C47—42no—
832C2×C47—42no—
833C2×C47—81no—
834C2×C47—81no—
835C2×C47—81no—
836C2×C47—81no—
837C2×C47#344911yescharacteristic
838C2×C47#349611yescharacteristic
839C2×C47#350011yescharacteristic
840C2×C47#353311yescharacteristic
841C2×C47#353911yescharacteristic
842C2×C47#356611yescharacteristic
843C2×C47#356711yescharacteristic
844#540—28no—
845#539—28no—
846C2×#127C22×C4711yescharacteristic
847C2×#126C22×C4711yescharacteristic
848C2×#126C22×C4711yescharacteristic
849C2×#125C22×C4711yescharacteristic
850C2×#125C22×C4711yescharacteristic
851C2×#125C22×C4711yescharacteristic
852C2×#124C22×C4711yescharacteristic
853C2×#123C22×C4711yescharacteristic
854C2×#123C22×C4711yescharacteristic
855C2×#123C22×C4711yescharacteristic
856C2×#123C22×C4711yescharacteristic
857C2×#123C22×C4711yescharacteristic
858C2×#123C22×C4711yescharacteristic
859C2×#123C22×C4711yescharacteristic
860C2×#123C22×C4711yescharacteristic
861C2×#123C22×C4711yescharacteristic
862C2×C22⋊Q8C22×C4711yescharacteristic
863C2×C22⋊Q8C22×C4711yescharacteristic
864C2×C22⋊Q8C22×C4711yescharacteristic
865C2×#121C22×C4711yescharacteristic
866C2×#121C22×C4711yescharacteristic
867C2×#121C22×C4711yescharacteristic
868C2×#121C22×C4711yescharacteristic
869C2×#121C22×C4711yescharacteristic
870C2×#121C22×C4711yescharacteristic
871C2×#121C22×C4711yescharacteristic
872C2×#121C22×C4711yescharacteristic
873C2×#121C22×C4711yescharacteristic
874C2×C4×D4C22×C4711yescharacteristic
875C2×C4×D4C22×C4711yescharacteristic
876C2×C4×D4C22×C4711yescharacteristic
877C2×#117C22×C4711yescharacteristic
878C2×#117C22×C4711yescharacteristic
879C22×C4⋊C4C22×C4711yescharacteristic
880C22×C42C22×C4711yescharacteristic
881#400C22×C4711yescharacteristic
882#400C22×C4711yescharacteristic
883#400C22×C4711yescharacteristic
884#400C22×C4711yescharacteristic
885#400C22×C4711yescharacteristic
886#400C22×C4711yescharacteristic
887#399C22×C4711yescharacteristic
888#399C22×C4711yescharacteristic
889#398C22×C4711yescharacteristic
890#398C22×C4711yescharacteristic
891#398C22×C4711yescharacteristic
892#398C22×C4711yescharacteristic
893#398C22×C4711yescharacteristic
894#398C22×C4711yescharacteristic
895#397C22×C4711yescharacteristic
896#397C22×C4711yescharacteristic
897#397C22×C4711yescharacteristic
898#397C22×C4711yescharacteristic
899#397C22×C4711yescharacteristic
900#397C22×C4711yescharacteristic
901#396C22×C4711yescharacteristic
902#396C22×C4711yescharacteristic
903#396C22×C4711yescharacteristic
904#396C22×C4711yescharacteristic
905#395C22×C4711yescharacteristic
906#394C22×C4711yescharacteristic
907#394C22×C4711yescharacteristic
908#394C22×C4711yescharacteristic
909#394C22×C4711yescharacteristic
910#394C22×C4711yescharacteristic
911#394C22×C4711yescharacteristic
912#394C22×C4711yescharacteristic
913#394C22×C4711yescharacteristic
914#394C22×C4711yescharacteristic
915#394C22×C4711yescharacteristic
916#394C22×C4711yescharacteristic
917#394C22×C4711yescharacteristic
918#394C22×C4711yescharacteristic
919#394C22×C4711yescharacteristic
920#394C22×C4711yescharacteristic
921#393C22×C4711yescharacteristic
922#392C22×C4711yescharacteristic
923#392C22×C4711yescharacteristic
924#392C22×C4711yescharacteristic
925#392C22×C4711yescharacteristic
926#392C22×C4711yescharacteristic
927#392C22×C4711yescharacteristic
928#392C22×C4711yescharacteristic
929#391C22×C4711yescharacteristic
930#390C22×C4711yescharacteristic
931#390C22×C4711yescharacteristic
932#390C22×C4711yescharacteristic
933#390C22×C4711yescharacteristic
934#390C22×C4711yescharacteristic
935#390C22×C4711yescharacteristic
936#389C22×C4711yescharacteristic
937#389C22×C4711yescharacteristic
938#389C22×C4711yescharacteristic
939#389C22×C4711yescharacteristic
940#389C22×C4711yescharacteristic
941#388C22×C4711yescharacteristic
942#388C22×C4711yescharacteristic
943#388C22×C4711yescharacteristic
944#388C22×C4711yescharacteristic
945#388C22×C4711yescharacteristic
946#388C22×C4711yescharacteristic
947#388C22×C4711yescharacteristic
948#388C22×C4711yescharacteristic
949#388C22×C4711yescharacteristic
950#388C22×C4711yescharacteristic
951#388C22×C4711yescharacteristic
952#388C22×C4711yescharacteristic
953#388C22×C4711yescharacteristic
954#388C22×C4711yescharacteristic
955#388C22×C4711yescharacteristic
956#388C22×C4711yescharacteristic
957#387C22×C4711yescharacteristic
958#387C22×C4711yescharacteristic
959#387C22×C4711yescharacteristic
960#387C22×C4711yescharacteristic
961#387C22×C4711yescharacteristic
962#387C22×C4711yescharacteristic
963#386C22×C4711yescharacteristic
964#386C22×C4711yescharacteristic
965#386C22×C4711yescharacteristic
966#386C22×C4711yescharacteristic
967#386C22×C4711yescharacteristic
968#386C22×C4711yescharacteristic
969#386C22×C4711yescharacteristic
970#386C22×C4711yescharacteristic
971#386C22×C4711yescharacteristic
972#386C22×C4711yescharacteristic
973#386C22×C4711yescharacteristic
974#386C22×C4711yescharacteristic
975#386C22×C4711yescharacteristic
976#386C22×C4711yescharacteristic
977#386C22×C4711yescharacteristic
978#386C22×C4711yescharacteristic
979#386C22×C4711yescharacteristic
980#385C22×C4711yescharacteristic
981#385C22×C4711yescharacteristic
982#385C22×C4711yescharacteristic
983#385C22×C4711yescharacteristic
984#385C22×C4711yescharacteristic
985#385C22×C4711yescharacteristic
986#385C22×C4711yescharacteristic
987#385C22×C4711yescharacteristic
988#385C22×C4711yescharacteristic
989#382C22×C4711yescharacteristic
990#381C22×C4711yescharacteristic
991#380C22×C4711yescharacteristic
992#380C22×C4711yescharacteristic
993#380C22×C4711yescharacteristic
994#380C22×C4711yescharacteristic
995#380C22×C4711yescharacteristic
996#380C22×C4711yescharacteristic
997C4×C4⋊C4C22×C4711yescharacteristic
998C4×C22⋊C4C22×C4711yescharacteristic
999C4×C22⋊C4C22×C4711yescharacteristic
1000#376C22×C4711yescharacteristic
1001C47#3674611yescharacteristic, direct product factor, Sylow
1002C22×Q8C23×C4711yescharacteristic
1003C22×D4C23×C4711yescharacteristic
1004C22×D4C23×C4711yescharacteristic
1005C22×D4C23×C4711yescharacteristic
1006C22×D4C23×C4711yescharacteristic
1007C22×D4C23×C4711yescharacteristic
1008C22×D4C23×C4711yescharacteristic
1009C22×D4C23×C4711yescharacteristic
1010C22×D4C23×C4711yescharacteristic
1011C22×D4C23×C4711yescharacteristic
1012C22×D4C23×C4711yescharacteristic
1013C22×D4C23×C4711yescharacteristic
1014C22×D4C23×C4711yescharacteristic
1015C22×D4C23×C4711yescharacteristic
1016C22×D4C23×C4711yescharacteristic
1017C22×D4C23×C4711yescharacteristic
1018C23×C4C23×C4711yescharacteristic
1019C23×C4C23×C4711yescharacteristic
1020C23×C4C23×C4711yescharacteristic
1021C23×C4C23×C4711yescharacteristic
1022C23×C4C23×C4711yescharacteristic
1023C23×C4C23×C4711yescharacteristic
1024C23×C4C23×C4711yescharacteristic
1025C23×C4C23×C4711yescharacteristic
1026C23×C4C23×C4711yescharacteristic
1027C23×C4C23×C4711yescharacteristic
1028#127—24no—
1029#126—24no—
1030#126—24no—
1031#125—24no—
1032#125—24no—
1033#125—24no—
1034#124—42no—
1035#123—24no—
1036#123—24no—
1037#123—24no—
1038#123—24no—
1039#123—24no—
1040#123—24no—
1041#123—24no—
1042#123—24no—
1043#123—42no—
1044C22⋊Q8—24no—
1045C22⋊Q8—24no—
1046C22⋊Q8—24no—
1047#121—24no—
1048#121—24no—
1049#121—24no—
1050#121—24no—
1051#121—24no—
1052#121—24no—
1053#121—24no—
1054#121—42no—
1055#121—42no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4D4×C4718yescomplemented
1059#117—24no—
1060#117—42no—
1061C2×C4⋊C4—24no—
1062C2×C4⋊C4C23×C4711yescharacteristic
1063C2×C4⋊C4C23×C4711yescharacteristic
1064C2×C4⋊C4C23×C4711yescharacteristic
1065C2×C4⋊C4C23×C4711yescharacteristic
1066C2×C4⋊C4C23×C4711yescharacteristic
1067C2×C4⋊C4C23×C4711yescharacteristic
1068C2×C4⋊C4C23×C4711yescharacteristic
1069C2×C4⋊C4C23×C4711yescharacteristic
1070C2×C4⋊C4C23×C4711yescharacteristic
1071C2×C4⋊C4C23×C4711yescharacteristic
1072C2×C4⋊C4C23×C4711yescharacteristic
1073C2×C4⋊C4C23×C4711yescharacteristic
1074C2×C4⋊C4C23×C4711yescharacteristic
1075C2×C4⋊C4C23×C4711yescharacteristic
1076C2×C4⋊C4C23×C4711yescharacteristic
1077C2×C4⋊C4C23×C4711yescharacteristic
1078C2×C4⋊C4C23×C4711yescharacteristic
1079C2×C4⋊C4C23×C4711yescharacteristic
1080C2×C4⋊C4C23×C4711yescharacteristic
1081C2×C4⋊C4C23×C4711yescharacteristic
1082C2×C4⋊C4C23×C4711yescharacteristic
1083C2×C4⋊C4C23×C4711yescharacteristic
1084C2×C4⋊C4C23×C4711yescharacteristic
1085C2×C4⋊C4C23×C4711yescharacteristic
1086C2×C4⋊C4C23×C4711yescharacteristic
1087C2×C4⋊C4C23×C4711yescharacteristic
1088C2×C4⋊C4C23×C4711yescharacteristic
1089C2×C4⋊C4C23×C4711yescharacteristic
1090C2×C4⋊C4C23×C4711yescharacteristic
1091C2×C4⋊C4C23×C4711yescharacteristic
1092C2×C4⋊C4C23×C4711yescharacteristic
1093C2×C4⋊C4C23×C4711yescharacteristic
1094C2×C4⋊C4C23×C4711yescharacteristic
1095C2×C4⋊C4C23×C4711yescharacteristic
1096C2×C22⋊C4C23×C4711yescharacteristic
1097C2×C22⋊C4C23×C4711yescharacteristic
1098C2×C22⋊C4C23×C4711yescharacteristic
1099C2×C22⋊C4C23×C4711yescharacteristic
1100C2×C22⋊C4C23×C4711yescharacteristic
1101C2×C22⋊C4C23×C4711yescharacteristic
1102C2×C22⋊C4C23×C4711yescharacteristic
1103C2×C22⋊C4C23×C4711yescharacteristic
1104C2×C22⋊C4C23×C4711yescharacteristic
1105C2×C22⋊C4C23×C4711yescharacteristic
1106C2×C22⋊C4C23×C4711yescharacteristic
1107C2×C22⋊C4C23×C4711yescharacteristic
1108C2×C22⋊C4C23×C4711yescharacteristic
1109C2×C22⋊C4C23×C4711yescharacteristic
1110C2×C22⋊C4C23×C4711yescharacteristic
1111C2×C22⋊C4C23×C4711yescharacteristic
1112C2×C22⋊C4C23×C4711yescharacteristic
1113C2×C22⋊C4C23×C4711yescharacteristic
1114C2×C22⋊C4C23×C4711yescharacteristic
1115C2×C22⋊C4C23×C4711yescharacteristic
1116C2×C22⋊C4C23×C4711yescharacteristic
1117C2×C22⋊C4C23×C4711yescharacteristic
1118C2×C22⋊C4C23×C4711yescharacteristic
1119C2×C22⋊C4C23×C4711yescharacteristic
1120C2×C22⋊C4C23×C4711yescharacteristic
1121C2×C22⋊C4C23×C4711yescharacteristic
1122C2×C22⋊C4C23×C4711yescharacteristic
1123C2×C22⋊C4C23×C4711yescharacteristic
1124C2×C22⋊C4C23×C4711yescharacteristic
1125C2×C22⋊C4C23×C4711yescharacteristic
1126C2×C22⋊C4C23×C4711yescharacteristic
1127C2×C22⋊C4C23×C4711yescharacteristic
1128C2×C22⋊C4C23×C4711yescharacteristic
1129C2×C22⋊C4C23×C4711yescharacteristic
1130C2×C22⋊C4C23×C4711yescharacteristic
1131C2×C22⋊C4C23×C4711yescharacteristic
1132C2×C22⋊C4C23×C4711yescharacteristic
1133C2×C22⋊C4C23×C4711yescharacteristic
1134C2×C22⋊C4C23×C4711yescharacteristic
1135C2×C22⋊C4C23×C4711yescharacteristic
1136C2×C22⋊C4C23×C4711yescharacteristic
1137C2×C22⋊C4C23×C4711yescharacteristic
1138C2×C22⋊C4C23×C4711yescharacteristic
1139C2×C22⋊C4C23×C4711yescharacteristic
1140C2×C22⋊C4C23×C4711yescharacteristic
1141C2×C22⋊C4C23×C4711yescharacteristic
1142C2×C22⋊C4C23×C4711yescharacteristic
1143C2×C22⋊C4C23×C4711yescharacteristic
1144C2×C22⋊C4C23×C4711yescharacteristic
1145C2×C22⋊C4C23×C4711yescharacteristic
1146C2×C42—42no—
1147C2×C42C23×C4711yescharacteristic
1148C2×C42C23×C4711yescharacteristic
1149C2×C42C23×C4711yescharacteristic
1150C2×C42C23×C4711yescharacteristic
1151C2×C42C23×C4711yescharacteristic
1152C2×C42C23×C4711yescharacteristic
1153C2×C42C23×C4711yescharacteristic
1154C2×C42C23×C4711yescharacteristic
1155C2×C42C23×C4711yescharacteristic
1156#95C23×C4711yescharacteristic
1157#95C23×C4711yescharacteristic
1158#95C23×C4711yescharacteristic
1159#95C23×C4711yescharacteristic
1160#95C23×C4711yescharacteristic
1161#95C23×C4711yescharacteristic
1162#95C23×C4711yescharacteristic
1163#95C23×C4711yescharacteristic
1164#95C23×C4711yescharacteristic
1165#95C23×C4711yescharacteristic
1166#95C23×C4711yescharacteristic
1167#95C23×C4711yescharacteristic
1168#95C23×C4711yescharacteristic
1169#95C23×C4711yescharacteristic
1170#95C23×C4711yescharacteristic
1171#95C23×C4711yescharacteristic
1172#95C23×C4711yescharacteristic
1173#95C23×C4711yescharacteristic
1174#95C23×C4711yescharacteristic
1175#95C23×C4711yescharacteristic
1176#95C23×C4711yescharacteristic
1177#95C23×C4711yescharacteristic
1178#95C23×C4711yescharacteristic
1179#95C23×C4711yescharacteristic
1180#95C23×C4711yescharacteristic
1181#95C23×C4711yescharacteristic
1182#95C23×C4711yescharacteristic
1183#95C23×C4711yescharacteristic
1184#95C23×C4711yescharacteristic
1185#95C23×C4711yescharacteristic
1186#95C23×C4711yescharacteristic
1187#95C23×C4711yescharacteristic
1188#95C23×C4711yescharacteristic
1189#95C23×C4711yescharacteristic
1190#95C23×C4711yescharacteristic
1191#95C23×C4711yescharacteristic
1192C24C24×C4711yescharacteristic
1193C24C24×C4711yescharacteristic
1194C24C24×C4711yescharacteristic
1195C24C24×C4711yescharacteristic
1196C24C24×C4711yescharacteristic
1197C24C24×C4711yescharacteristic
1198C2×Q8—22no—
1199C2×Q8—41no—
1200C2×Q8—41no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4C2×D4×C4714yes—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4C2×D4×C4714yes—
1275C22×C4C2×D4×C4714yes—
1276C22×C4C24×C4711yescharacteristic
1277C22×C4C24×C4711yescharacteristic
1278C22×C4C24×C4711yescharacteristic
1279C22×C4C24×C4711yescharacteristic
1280C22×C4C24×C4711yescharacteristic
1281C22×C4C24×C4711yescharacteristic
1282C22×C4C24×C4711yescharacteristic
1283C22×C4C24×C4711yescharacteristic
1284C22×C4C24×C4711yescharacteristic
1285C22×C4C24×C4711yescharacteristic
1286C22×C4C24×C4711yescharacteristic
1287C22×C4C24×C4711yescharacteristic
1288C22×C4C24×C4711yescharacteristic
1289C22×C4C24×C4711yescharacteristic
1290C22×C4C24×C4711yescharacteristic
1291C22×C4C24×C4711yescharacteristic
1292C22×C4C24×C4711yescharacteristic
1293C22×C4C24×C4711yescharacteristic
1294C22×C4C24×C4711yescharacteristic
1295C22×C4C24×C4711yescharacteristic
1296C22×C4C24×C4711yescharacteristic
1297C22×C4C24×C4711yescharacteristic
1298C22×C4C24×C4711yescharacteristic
1299C22×C4C24×C4711yescharacteristic
1300C22×C4C24×C4711yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4C2×D4×C4714yes—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4C2×D4×C4714yes—
1384C22⋊C4C2×D4×C4714yes—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—41no—
1390C42—41no—
1391C42—41no—
1392C42—41no—
1393C42C2×D4×C4714yes—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23C22×D4×C4712yes—
1435C23C22×D4×C4712yes—
1436C23C25×C4711yescharacteristic
1437Q8—82no—
1438D4—44no—
1439D4—44no—
1440D4—44no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—82no—
1449D4—82no—
1450D4—82no—
1451D4—82no—
1452D4—82no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—82no—
1529C2×C4—82no—
1530C2×C4—82no—
1531C2×C4—82no—
1532C2×C4C22×D4×C4712yes—
1533C2×C4C22×D4×C4712yes—
1534C2×C4C22×D4×C4712yes—
1535C2×C4C22×D4×C4712yes—
1536C2×C4C22×D4×C4712yes—
1537C2×C4H(5,𝔽2)×C4712yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22C23×D4×C4711yescharacteristic
1581C22C2×H(5,𝔽2)×C4711yescharacteristic
1582C22C47×#58511yescharacteristic
1583C22C47×#58511yescharacteristic
1584C22C47×#58511yescharacteristic
1585C22C47×#58511yescharacteristic
1586C22C47×#58511yescharacteristic
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C2—42no—
1613C2—42no—
1614C2—81no—
1615C2—81no—
1616C2—81no—
1617C2—81no—
1618C2C47×#344911yescharacteristic
1619C2C47×#349611yescharacteristic
1620C2C47×#350011yescharacteristic
1621C2C47×#353311yescharacteristic
1622C2C47×#353911yescharacteristic
1623C2C47×#356611yescharacteristic
1624C2C47×#356711yescharacteristic
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×#540C2semidirect
2. C2×C47×#539C2semidirect
3. C47×#2854C2semidirect
4. C47×#2850C2semidirect
5. C47×#2719C2semidirect
6. C47×#2711C2semidirect
7. C47×#2709C2semidirect
8. C47×#2708C2semidirect
9. C47×#2706C2semidirect
10. C47×#2703C2semidirect
11. C47×#2695C2semidirect
12. C47×#2693C2semidirect
13. C47×#2691C2semidirect
14. C47×#2690C2semidirect
15. C47×#2688C2semidirect
16. C47×#2687C2semidirect
17. C47×#2676C2semidirect
18. C47×#2673C2semidirect
19. C47×#2672C2semidirect
20. C47×#2671C2semidirect
21. C47×#2663C2semidirect
22. C47×#2661C2semidirect
23. C47×#2611C2semidirect
24. C47×#2603C2semidirect
25. C47×#2602C2semidirect
26. C47×#2601C2semidirect
27. C47×#2591C2semidirect
28. C47×#2562C2semidirect
29. C47×#2414C2semidirect
30. C47×#2413C2semidirect
31. C47×#2290C2semidirect
245. C4×D4×C47D4semidirect
725. #36746C47direct (N × H)
800. C2×#540C2×C47semidirect
801. C2×#539C2×C47semidirect
802. #2854C2×C47semidirect
803. #2850C2×C47semidirect
804. #2719C2×C47semidirect
805. #2711C2×C47semidirect
806. #2709C2×C47semidirect
807. #2708C2×C47semidirect
808. #2706C2×C47semidirect
809. #2703C2×C47semidirect
810. #2695C2×C47semidirect
811. #2693C2×C47semidirect
812. #2691C2×C47semidirect
813. #2690C2×C47semidirect
814. #2688C2×C47semidirect
815. #2687C2×C47semidirect
816. #2676C2×C47semidirect
817. #2673C2×C47semidirect
818. #2672C2×C47semidirect
819. #2671C2×C47semidirect
820. #2663C2×C47semidirect
821. #2661C2×C47semidirect
822. #2611C2×C47semidirect
823. #2603C2×C47semidirect
824. #2602C2×C47semidirect
825. #2601C2×C47semidirect
826. #2591C2×C47semidirect
827. #2562C2×C47semidirect
828. #2414C2×C47semidirect
829. #2413C2×C47semidirect
830. #2290C2×C47semidirect
1001. C47#36746direct (N × H)
1058. 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×#5402
C2×C47×#5392
C47×#28542
C47×#28502
C47×#27192
C47×#27112
C47×#27092
C47×#27082
C47×#27062
C47×#27032
C47×#26952
C47×#26932
C47×#26912
C47×#26902
C47×#26882
C47×#26872
C47×#26762
C47×#26732
C47×#26722
C47×#26712
C47×#26632
C47×#26612
C47×#26112
C47×#26032
C47×#26022
C47×#26012
C47×#25912
C47×#25622
C47×#24142
C47×#24132
C47×#22902
#3674647