Finite Group Databasebeta

← C47×#62028 #26101726

Subgroups — C47×#62028 #26101726

Order 12032.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3562C211yesmaximal, characteristic, complemented
2C47×#3513C211yesmaximal, characteristic, complemented
3C47×#3403C211yesmaximal, characteristic, complemented
4C47×#3394C211yesmaximal, characteristic, complemented
5C47×#3376C211yesmaximal, characteristic, complemented
6C47×#3361C211yesmaximal, characteristic, complemented
7C47×#3332C211yesmaximal, characteristic, complemented
8C47×#3323C211yesmaximal, characteristic, complemented
9C47×#3322C211yesmaximal, characteristic, complemented
10C47×#3315C211yesmaximal, characteristic, complemented
11C47×#3308C211yesmaximal, characteristic, complemented
12C47×#3301C211yesmaximal, characteristic, complemented
13C47×#3280C211yesmaximal, characteristic, complemented
14C47×#3275C211yesmaximal, characteristic, complemented
15C47×#3275C211yesmaximal, characteristic, complemented
16C47×#3272C211yesmaximal, characteristic, complemented
17C47×#3268C211yesmaximal, characteristic, complemented
18C47×#3264C211yesmaximal, characteristic, complemented
19C47×#3259C211yesmaximal, characteristic, complemented
20C47×#3258C211yesmaximal, characteristic, complemented
21C47×#3256C211yesmaximal, characteristic, complemented
22C47×#3224C211yesmaximal, characteristic, complemented
23C47×#3221C211yesmaximal, characteristic, complemented
24C47×#3212C211yesmaximal, characteristic, complemented
25C47×#3123C211yesmaximal, characteristic, complemented
26C47×#3119C211yesmaximal, characteristic, complemented
27C47×#3105C211yesmaximal, characteristic, complemented
28C47×#3046C211yesmaximal, characteristic, complemented
29C47×#3041C211yesmaximal, characteristic, complemented
30C47×#3036C211yesmaximal, characteristic, complemented
31C47×#2993C211yesmaximal, characteristic, complemented
32C2×#137×C47C2211yescharacteristic, complemented
33C2×AGL(1,ℤ/8)×C47C2211yescharacteristic
34C2×AGL(1,ℤ/8)×C47C2211yescharacteristic
35C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
36C2×#135×C47C2211yescharacteristic
37C22×D8×C47C2211yescharacteristic
38C47×#562—21no—
39C47×#560—21no—
40C47×#559C2211yescharacteristic, complemented
41C47×#559C2211yescharacteristic, complemented
42C47×#556C2211yescharacteristic, complemented
43C47×#554C2211yescharacteristic, complemented
44C47×#553—21no—
45C47×#553—21no—
46C47×#553C2211yescharacteristic
47C47×#552C2211yescharacteristic
48C47×#551—21no—
49C47×#551—21no—
50C47×#551—21no—
51C47×#550C2211yescharacteristic, complemented
52C47×#548C2211yescharacteristic, complemented
53C47×#548C2211yescharacteristic, complemented
54C47×#547C2211yescharacteristic
55C47×#547C2211yescharacteristic, complemented
56C47×#546—21no—
57C47×#546C2211yescharacteristic
58C47×#546C2211yescharacteristic
59C47×#546C2211yescharacteristic, complemented
60C47×#546C2211yescharacteristic, complemented
61D42×C47C2211yescharacteristic
62C47×#542C2211yescharacteristic
63C47×#541C2211yescharacteristic, complemented
64C47×#540—21no—
65C47×#540C2211yescharacteristic, complemented
66C47×#540C2211yescharacteristic, complemented
67C47×#539—21no—
68C47×#539—21no—
69C47×#538—21no—
70C47×#538—21no—
71C47×#538—21no—
72C47×#536C2211yescharacteristic, complemented
73C47×#535C2211yescharacteristic, complemented
74C47×#532C2211yescharacteristic, complemented
75C47×#529C2211yescharacteristic
76C47×#529C2211yescharacteristic, complemented
77C47×#529C2211yescharacteristic, complemented
78C47×#525—21no—
79C2×#123×C47—21no—
80C47×#520C2211yescharacteristic, complemented
81C47×#518C2211yescharacteristic
82C2×C4×D4×C47C2211yescharacteristic, complemented
83C47×#496C2211yescharacteristic
84C47×#496C2211yescharacteristic, complemented
85C47×#495C2211yescharacteristic, complemented
86C47×#495C2211yescharacteristic, complemented
87C47×#495C2211yescharacteristic, complemented
88C47×#492C2211yescharacteristic, complemented
89C47×#491C2211yescharacteristic, complemented
90C47×#489C2211yescharacteristic, complemented
91C47×#488C2211yescharacteristic, complemented
92C47×#488C2211yescharacteristic, complemented
93C47×#488C2211yescharacteristic, complemented
94C47×#486C2211yescharacteristic, complemented
95C47×#485C2211yescharacteristic, complemented
96C47×#485C2211yescharacteristic, complemented
97C47×#484C2211yescharacteristic, complemented
98C47×#481C2211yescharacteristic, complemented
99C47×#481C2211yescharacteristic, complemented
100C47×#480C2211yescharacteristic, complemented
101C47×#479C2211yescharacteristic, complemented
102C47×#479C2211yescharacteristic, complemented
103C47×#478C2211yescharacteristic, complemented
104C47×#478C2211yescharacteristic, complemented
105C47×#478C2211yescharacteristic, complemented
106C47×#478C2211yescharacteristic, complemented
107C47×#478C2211yescharacteristic, complemented
108C47×#478C2211yescharacteristic, complemented
109C47×#477C2211yescharacteristic, complemented
110C47×#475C2211yescharacteristic, complemented
111C47×#470C2211yescharacteristic, complemented
112C47×#470C2211yescharacteristic, complemented
113C47×#469C2211yescharacteristic
114C47×#469C2211yescharacteristic, complemented
115C47×#469C2211yescharacteristic, complemented
116C47×#468C2211yescharacteristic
117C47×#468C2211yescharacteristic, complemented
118C47×#468C2211yescharacteristic, complemented
119C47×#467C2211yescharacteristic, complemented
120C47×#466C2211yescharacteristic, complemented
121C47×#466C2211yescharacteristic, complemented
122C47×#465C2211yescharacteristic
123C47×#464C2211yescharacteristic, complemented
124C47×#464C2211yescharacteristic, complemented
125C47×#464C2211yescharacteristic, complemented
126C47×#464C2211yescharacteristic, complemented
127C47×#464C2211yescharacteristic, complemented
128C47×#463C2211yescharacteristic
129C47×#463C2211yescharacteristic
130C47×#463C2211yescharacteristic
131C47×#463C2211yescharacteristic
132C47×#463C2211yescharacteristic, complemented
133C47×#463C2211yescharacteristic, complemented
134C47×#463C2211yescharacteristic, complemented
135C47×#463C2211yescharacteristic, complemented
136C47×#463C2211yescharacteristic, complemented
137C47×#463C2211yescharacteristic, complemented
138C47×#463C2211yescharacteristic, complemented
139C47×#462C2211yescharacteristic, complemented
140C47×#462C2211yescharacteristic, complemented
141C47×#461C2211yescharacteristic, complemented
142C47×#461C2211yescharacteristic, complemented
143C47×#461C2211yescharacteristic, complemented
144C47×#461C2211yescharacteristic, complemented
145C47×#460C2211yescharacteristic, complemented
146C47×#459C2211yescharacteristic
147C47×#459C2211yescharacteristic
148C47×#459C2211yescharacteristic
149C47×#459C2211yescharacteristic, complemented
150C47×#459C2211yescharacteristic, complemented
151C47×#459C2211yescharacteristic, complemented
152C47×#459C2211yescharacteristic, complemented
153C47×#452C2211yescharacteristic, complemented
154C47×#452C2211yescharacteristic, complemented
155C47×#452C2211yescharacteristic, complemented
156C47×#450C2211yescharacteristic
157C47×#450C2211yescharacteristic
158C47×#450C2211yescharacteristic, complemented
159C47×#450C2211yescharacteristic, complemented
160C47×#449C2211yescharacteristic
161C47×#449C2211yescharacteristic
162C47×#449C2211yescharacteristic
163C47×#449C2211yescharacteristic, complemented
164C47×#449C2211yescharacteristic, complemented
165C47×#449C2211yescharacteristic, complemented
166C47×#449C2211yescharacteristic, complemented
167C47×#448C2211yescharacteristic, complemented
168C47×#448C2211yescharacteristic, complemented
169C47×#447C2211yescharacteristic
170C47×#447C2211yescharacteristic
171C47×#446C2211yescharacteristic, complemented
172C8×Q8×C47C2211yescharacteristic, complemented
173C47×#442C2211yescharacteristic
174C47×#440C2211yescharacteristic, complemented
175C47×#440C2211yescharacteristic, complemented
176C47×#440C2211yescharacteristic, complemented
177C4×SD16×C47C2211yescharacteristic, complemented
178C4×SD16×C47C2211yescharacteristic, complemented
179C4×SD16×C47C2211yescharacteristic, complemented
180C4×SD16×C47C2211yescharacteristic, complemented
181C4×SD16×C47C2211yescharacteristic, complemented
182C4×D8×C47C2211yescharacteristic
183C4×D8×C47C2211yescharacteristic, complemented
184C4×D8×C47C2211yescharacteristic, complemented
185C47×#436C2211yescharacteristic
186C47×#436C2211yescharacteristic, complemented
187C47×#436C2211yescharacteristic, complemented
188C47×#435C2211yescharacteristic
189C47×#435C2211yescharacteristic, complemented
190C8×D4×C47C2211yescharacteristic, complemented
191C47×#433C2211yescharacteristic, complemented
192C47×#433C2211yescharacteristic, complemented
193C47×#431C2211yescharacteristic, complemented
194C47×#424C2211yescharacteristic, complemented
195C47×#424C2211yescharacteristic, complemented
196C47×#423C2211yescharacteristic, complemented
197C47×#418C2211yescharacteristic, complemented
198C47×#417C2211yescharacteristic, complemented
199C47×#417C2211yescharacteristic, complemented
200C47×#417C2211yescharacteristic, complemented
201C47×#416C2211yescharacteristic, complemented
202C2×#103×C47C2211yescharacteristic, complemented
203C2×#41×C47—21no—
204C2×#41×C47C2311yescharacteristic
205C2×#41×C47C2311yescharacteristic
206C2×#41×C47C2311yescharacteristic
207C2×#41×C47C2311yescharacteristic
208C2×#41×C47C2311yescharacteristic
209C22×Q8×C47C2311yescharacteristic
210C22×D4×C47—21no—
211C22×D4×C47C2311yescharacteristic
212C22×D4×C47C2311yescharacteristic
213C22×D4×C47C2311yescharacteristic
214C23×C4×C47—21no—
215#137×C47—42no—
216AGL(1,ℤ/8)×C47—42no—
217AGL(1,ℤ/8)×C47—42no—
218AGL(1,ℤ/8)×C47—42no—
219#135×C47—42no—
220C2×Q16×C47C2311yescharacteristic
221C2×Q16×C47C2311yescharacteristic
222C2×Q16×C47C2311yescharacteristic
223C2×SD16×C47C2311yescharacteristic
224C2×SD16×C47C2311yescharacteristic
225C2×SD16×C47C2311yescharacteristic
226C2×SD16×C47C2311yescharacteristic
227C2×SD16×C47C2311yescharacteristic
228C2×SD16×C47C2311yescharacteristic
229C2×SD16×C47C2311yescharacteristic
230C2×SD16×C47C2311yescharacteristic
231C2×SD16×C47C2311yescharacteristic
232C2×SD16×C47C2311yescharacteristic
233C2×SD16×C47C2311yescharacteristic
234C2×SD16×C47C2311yescharacteristic
235C2×D8×C47—42no—
236C2×D8×C47C2311yescharacteristic
237C2×D8×C47C2311yescharacteristic
238C2×D8×C47C2311yescharacteristic
239C2×D8×C47C2311yescharacteristic
240C2×D8×C47C2311yescharacteristic
241C2×D8×C47C2311yescharacteristic
242C2×D8×C47C2311yescharacteristic
243C2×D8×C47C2311yescharacteristic
244C2×D8×C47C2311yescharacteristic
245C2×M16×C47C2311yescharacteristic
246C2×M16×C47C2311yescharacteristic
247C2×M16×C47C2311yescharacteristic
248C2×M16×C47C2311yescharacteristic
249C22×C8×C47C2311yescharacteristic
250C22×C8×C47C2311yescharacteristic
251C4⋊Q8×C47C2311yescharacteristic
252C4⋊Q8×C47C2311yescharacteristic
253C4⋊Q8×C47C2311yescharacteristic
254#127×C47—21no—
255#127×C47C2311yescharacteristic
256#127×C47C2311yescharacteristic
257#127×C47C2311yescharacteristic
258#126×C47—21no—
259#126×C47—21no—
260#126×C47—21no—
261#126×C47—21no—
262#126×C47—21no—
263#126×C47—21no—
264#126×C47—21no—
265#126×C47—21no—
266#126×C47—21no—
267#126×C47D411yescharacteristic
268#126×C47D411yescharacteristic
269#125×C47—21no—
270#125×C47—21no—
271#125×C47—21no—
272#125×C47D411yescharacteristic
273#125×C47C2311yescharacteristic
274#125×C47C2311yescharacteristic
275#125×C47C2311yescharacteristic
276#124×C47—21no—
277#124×C47—21no—
278#124×C47—21no—
279#124×C47—21no—
280#124×C47—21no—
281#124×C47D411yescharacteristic
282#124×C47C2311yescharacteristic
283#124×C47C2311yescharacteristic
284#124×C47C2311yescharacteristic
285#124×C47C2311yescharacteristic
286#124×C47C2311yescharacteristic
287#124×C47C2311yescharacteristic
288#124×C47C2311yescharacteristic
289#123×C47—21no—
290#123×C47—21no—
291#123×C47—21no—
292#123×C47—21no—
293#123×C47—21no—
294#123×C47—21no—
295#123×C47—21no—
296#123×C47—21no—
297#123×C47—21no—
298#123×C47—21no—
299#123×C47—21no—
300#123×C47—21no—
301#123×C47—21no—
302#123×C47—21no—
303#123×C47—21no—
304#123×C47—21no—
305#123×C47—21no—
306#123×C47—21no—
307#123×C47—21no—
308#123×C47—21no—
309#123×C47—21no—
310#123×C47—21no—
311#123×C47—21no—
312#123×C47D411yescharacteristic
313#123×C47D411yescharacteristic
314C22⋊Q8×C47—21no—
315C22⋊Q8×C47—21no—
316C22⋊Q8×C47—21no—
317C22⋊Q8×C47—21no—
318C22⋊Q8×C47—21no—
319C22⋊Q8×C47—21no—
320C22⋊Q8×C47—21no—
321C22⋊Q8×C47—21no—
322C22⋊Q8×C47—21no—
323C22⋊Q8×C47—21no—
324C22⋊Q8×C47D411yescharacteristic
325C22⋊Q8×C47C2311yescharacteristic
326C22⋊Q8×C47C2311yescharacteristic
327C22⋊Q8×C47C2311yescharacteristic
328C22⋊Q8×C47C2311yescharacteristic
329C22⋊Q8×C47C2311yescharacteristic
330#121×C47—21no—
331#121×C47—21no—
332#121×C47—21no—
333#121×C47—21no—
334#121×C47—21no—
335#121×C47—21no—
336#121×C47—21no—
337#121×C47—21no—
338#121×C47—21no—
339#121×C47—21no—
340#121×C47—21no—
341#121×C47—21no—
342#121×C47—21no—
343#121×C47—21no—
344#121×C47—21no—
345#121×C47—21no—
346#121×C47—21no—
347#121×C47—21no—
348#121×C47—21no—
349#121×C47D411yescharacteristic
350#121×C47C2311yescharacteristic
351#121×C47C2311yescharacteristic
352#121×C47C2311yescharacteristic
353#121×C47C2311yescharacteristic
354#121×C47C2311yescharacteristic
355#121×C47C2311yescharacteristic
356#121×C47C2311yescharacteristic
357#120×C47—21no—
358#120×C47—21no—
359#120×C47—21no—
360#120×C47—21no—
361#120×C47—21no—
362#120×C47—21no—
363#120×C47—21no—
364#120×C47—21no—
365C4×Q8×C47C2311yescharacteristic
366C4×Q8×C47C2311yescharacteristic
367C4×Q8×C47C2311yescharacteristic
368C4×Q8×C47C2311yescharacteristic
369C4×Q8×C47C2311yescharacteristic
370C4×Q8×C47C2311yescharacteristic
371C4×D4×C47—21no—
372C4×D4×C47—21no—
373C4×D4×C47—21no—
374C4×D4×C47—21no—
375C4×D4×C47—21no—
376C4×D4×C47—21no—
377C4×D4×C47—21no—
378C4×D4×C47—21no—
379C4×D4×C47—21no—
380C4×D4×C47—21no—
381C4×D4×C47—21no—
382C4×D4×C47—21no—
383C4×D4×C47—21no—
384C4×D4×C47—21no—
385C4×D4×C47—21no—
386C4×D4×C47—21no—
387C4×D4×C47C2311yescharacteristic
388C4×D4×C47C2311yescharacteristic
389C4×D4×C47C2311yescharacteristic
390C4×D4×C47C2311yescharacteristic
391C4×D4×C47C2311yescharacteristic
392C4×D4×C47C2311yescharacteristic
393C4×D4×C47C2311yescharacteristic
394C4×D4×C47C2311yescharacteristic
395C4×D4×C47C2311yescharacteristic
396C4×D4×C47C2311yescharacteristic
397C4×D4×C47C2311yescharacteristic
398C4×D4×C47C2311yescharacteristic
399C4×D4×C47C2311yescharacteristic
400C4×D4×C47C2311yescharacteristic
401#117×C47—21no—
402#117×C47—21no—
403#117×C47—21no—
404#117×C47—21no—
405#117×C47—21no—
406#117×C47C2311yescharacteristic
407#117×C47C2311yescharacteristic
408#117×C47C2311yescharacteristic
409C2×C4⋊C4×C47—21no—
410C2×C4⋊C4×C47—21no—
411C2×C4⋊C4×C47—21no—
412C2×C4⋊C4×C47C2311yescharacteristic
413C2×C4⋊C4×C47C2311yescharacteristic
414C2×C22⋊C4×C47—21no—
415C2×C22⋊C4×C47—21no—
416C2×C22⋊C4×C47—21no—
417C2×C22⋊C4×C47—21no—
418C2×C22⋊C4×C47—21no—
419C2×C22⋊C4×C47—21no—
420C2×C22⋊C4×C47—21no—
421C2×C42×C47C2311yescharacteristic
422#107×C47C2311yescharacteristic
423#107×C47C2311yescharacteristic
424#107×C47C2311yescharacteristic
425#107×C47C2311yescharacteristic
426#106×C47C2311yescharacteristic
427#106×C47C2311yescharacteristic
428#106×C47C2311yescharacteristic
429#106×C47C2311yescharacteristic
430C4⋊C8×C47C2311yescharacteristic
431C4⋊C8×C47C2311yescharacteristic
432C4⋊C8×C47C2311yescharacteristic
433C4⋊C8×C47C2311yescharacteristic
434C4⋊C8×C47C2311yescharacteristic
435C4⋊C8×C47C2311yescharacteristic
436C4⋊C8×C47C2311yescharacteristic
437C4⋊C8×C47C2311yescharacteristic
438C4⋊C8×C47C2311yescharacteristic
439C4⋊C8×C47C2311yescharacteristic
440#103×C47C2311yescharacteristic
441#103×C47C2311yescharacteristic
442#103×C47C2311yescharacteristic
443#103×C47C2311yescharacteristic
444#103×C47C2311yescharacteristic
445#103×C47C2311yescharacteristic
446#103×C47C2311yescharacteristic
447#103×C47C2311yescharacteristic
448#103×C47C2311yescharacteristic
449#103×C47C2311yescharacteristic
450#103×C47C2311yescharacteristic
451#103×C47C2311yescharacteristic
452#103×C47C2311yescharacteristic
453#103×C47C2311yescharacteristic
454#102×C47C2311yescharacteristic
455#102×C47C2311yescharacteristic
456#102×C47C2311yescharacteristic
457#102×C47C2311yescharacteristic
458#102×C47C2311yescharacteristic
459#102×C47C2311yescharacteristic
460#102×C47C2311yescharacteristic
461#102×C47C2311yescharacteristic
462#102×C47C2311yescharacteristic
463#102×C47C2311yescharacteristic
464#102×C47C2311yescharacteristic
465#102×C47C2311yescharacteristic
466#102×C47C2311yescharacteristic
467#102×C47C2311yescharacteristic
468#102×C47C2311yescharacteristic
469#102×C47C2311yescharacteristic
470#102×C47C2311yescharacteristic
471#102×C47C2311yescharacteristic
472C22⋊C8×C47C2311yescharacteristic
473C22⋊C8×C47C2311yescharacteristic
474C22⋊C8×C47C2311yescharacteristic
475C22⋊C8×C47C2311yescharacteristic
476C22⋊C8×C47C2311yescharacteristic
477C22⋊C8×C47C2311yescharacteristic
478#97×C47C2311yescharacteristic
479#97×C47C2311yescharacteristic
480C4×C8×C47C2311yescharacteristic
481C4×C8×C47C2311yescharacteristic
482C4×C8×C47C2311yescharacteristic
483C4×C8×C47C2311yescharacteristic
484C24×C47—21no—
485C24×C47—21no—
486C24×C47—21no—
487#41×C47—22no—
488#41×C47—41no—
489#41×C47—41no—
490#41×C47—41no—
491#41×C47—41no—
492#41×C47—41no—
493#41×C47—41no—
494#41×C47—41no—
495#41×C47—41no—
496#41×C47—41no—
497#41×C47—82no—
498C2×Q8×C47—21no—
499C2×Q8×C47—21no—
500C2×Q8×C47—41no—
501C2×Q8×C47—41no—
502C2×Q8×C47C2×D411yescharacteristic
503C2×Q8×C47C2411yescharacteristic
504C2×Q8×C47C2411yescharacteristic
505C2×Q8×C47C2411yescharacteristic
506C2×Q8×C47C2411yescharacteristic
507C2×D4×C47—22no—
508C2×D4×C47—22no—
509C2×D4×C47—21no—
510C2×D4×C47—21no—
511C2×D4×C47—21no—
512C2×D4×C47—21no—
513C2×D4×C47—21no—
514C2×D4×C47—21no—
515C2×D4×C47—21no—
516C2×D4×C47—21no—
517C2×D4×C47—21no—
518C2×D4×C47—21no—
519C2×D4×C47—21no—
520C2×D4×C47—21no—
521C2×D4×C47—21no—
522C2×D4×C47—21no—
523C2×D4×C47—21no—
524C2×D4×C47—21no—
525C2×D4×C47—21no—
526C2×D4×C47—21no—
527C2×D4×C47—21no—
528C2×D4×C47—21no—
529C2×D4×C47—21no—
530C2×D4×C47—41no—
531C2×D4×C47—41no—
532C2×D4×C47—41no—
533C2×D4×C47—41no—
534C2×D4×C47—82no—
535C2×D4×C47C2×D411yescharacteristic
536C2×D4×C47C2×D411yescharacteristic
537C2×D4×C47C2×D411yescharacteristic
538C2×D4×C47C2411yescharacteristic
539C2×D4×C47C2411yescharacteristic
540C2×D4×C47C2411yescharacteristic
541C2×D4×C47C2411yescharacteristic
542C2×D4×C47C2411yescharacteristic
543C2×D4×C47C2411yescharacteristic
544C22×C4×C47—21no—
545C22×C4×C47—21no—
546C22×C4×C47—21no—
547C22×C4×C47—21no—
548C22×C4×C47—21no—
549C22×C4×C47—21no—
550C22×C4×C47—21no—
551C22×C4×C47—21no—
552C22×C4×C47—21no—
553C22×C4×C47—21no—
554C22×C4×C47—21no—
555C22×C4×C47—21no—
556C22×C4×C47—21no—
557C22×C4×C47—21no—
558C22×C4×C47—21no—
559C22×C4×C47—21no—
560C22×C4×C47—21no—
561C22×C4×C47—21no—
562C22×C4×C47—21no—
563C22×C4×C47—82no—
564C22×C4×C47C2×D411yescharacteristic
565C22×C4×C47C2×D411yescharacteristic
566C22×C4×C47C2411yescharacteristic
567C22×C4×C47C2411yescharacteristic
568C22×C4×C47C2411yescharacteristic
569Q16×C47—41no—
570Q16×C47—41no—
571Q16×C47—41no—
572SD16×C47—22no—
573SD16×C47—22no—
574SD16×C47—22no—
575SD16×C47—41no—
576SD16×C47—41no—
577SD16×C47—41no—
578SD16×C47—41no—
579SD16×C47—41no—
580SD16×C47—41no—
581SD16×C47—41no—
582SD16×C47—41no—
583SD16×C47—41no—
584D8×C47—22no—
585D8×C47—22no—
586D8×C47—22no—
587D8×C47—41no—
588D8×C47—41no—
589D8×C47—41no—
590D8×C47—41no—
591D8×C47—41no—
592D8×C47—41no—
593M16×C47—41no—
594M16×C47—41no—
595M16×C47—41no—
596M16×C47—41no—
597C2×C8×C47—41no—
598C2×C8×C47—41no—
599C2×C8×C47C2411yescharacteristic
600C2×C8×C47C2411yescharacteristic
601C2×C8×C47C2411yescharacteristic
602C2×C8×C47C2411yescharacteristic
603C2×C8×C47C2411yescharacteristic
604C2×C8×C47C2411yescharacteristic
605C2×C8×C47C2411yescharacteristic
606C2×C8×C47C2411yescharacteristic
607C4⋊C4×C47—21no—
608C4⋊C4×C47—21no—
609C4⋊C4×C47—21no—
610C4⋊C4×C47—21no—
611C4⋊C4×C47—21no—
612C4⋊C4×C47—21no—
613C4⋊C4×C47—21no—
614C4⋊C4×C47—21no—
615C4⋊C4×C47—21no—
616C4⋊C4×C47—21no—
617C4⋊C4×C47—21no—
618C4⋊C4×C47—21no—
619C4⋊C4×C47—21no—
620C4⋊C4×C47—21no—
621C4⋊C4×C47—21no—
622C4⋊C4×C47—21no—
623C4⋊C4×C47—21no—
624C4⋊C4×C47—21no—
625C4⋊C4×C47—21no—
626C4⋊C4×C47—21no—
627C4⋊C4×C47—21no—
628C4⋊C4×C47—21no—
629C4⋊C4×C47—21no—
630C4⋊C4×C47C2×D411yescharacteristic
631C4⋊C4×C47C2×D411yescharacteristic
632C4⋊C4×C47C2×D411yescharacteristic
633C4⋊C4×C47C2×D411yescharacteristic
634C4⋊C4×C47C2×D411yescharacteristic
635C4⋊C4×C47C2×D411yescharacteristic
636C4⋊C4×C47C2×D411yescharacteristic
637C4⋊C4×C47C2×D411yescharacteristic
638C4⋊C4×C47C2×D411yescharacteristic
639C4⋊C4×C47C2×D411yescharacteristic
640C4⋊C4×C47C2411yescharacteristic
641C4⋊C4×C47C2411yescharacteristic
642C4⋊C4×C47C2411yescharacteristic
643C4⋊C4×C47C2411yescharacteristic
644C4⋊C4×C47C2411yescharacteristic
645C4⋊C4×C47C2411yescharacteristic
646C22⋊C4×C47—21no—
647C22⋊C4×C47—21no—
648C22⋊C4×C47—21no—
649C22⋊C4×C47—21no—
650C22⋊C4×C47—21no—
651C22⋊C4×C47—21no—
652C22⋊C4×C47—21no—
653C22⋊C4×C47—21no—
654C22⋊C4×C47—21no—
655C22⋊C4×C47—21no—
656C22⋊C4×C47—21no—
657C22⋊C4×C47—21no—
658C22⋊C4×C47—21no—
659C22⋊C4×C47—21no—
660C22⋊C4×C47—21no—
661C22⋊C4×C47—21no—
662C22⋊C4×C47—21no—
663C22⋊C4×C47—21no—
664C22⋊C4×C47—21no—
665C22⋊C4×C47—21no—
666C22⋊C4×C47—21no—
667C22⋊C4×C47—21no—
668C22⋊C4×C47—21no—
669C22⋊C4×C47—21no—
670C22⋊C4×C47—21no—
671C22⋊C4×C47—21no—
672C22⋊C4×C47—21no—
673C22⋊C4×C47—21no—
674C22⋊C4×C47—21no—
675C22⋊C4×C47—21no—
676C22⋊C4×C47—21no—
677C22⋊C4×C47—21no—
678C22⋊C4×C47—21no—
679C22⋊C4×C47—21no—
680C22⋊C4×C47—21no—
681C22⋊C4×C47—21no—
682C22⋊C4×C47—21no—
683C22⋊C4×C47—21no—
684C22⋊C4×C47C2×D411yescharacteristic
685C22⋊C4×C47C2×D411yescharacteristic
686C22⋊C4×C47C2×D411yescharacteristic
687C22⋊C4×C47C2×D411yescharacteristic
688C22⋊C4×C47C2×D411yescharacteristic
689C22⋊C4×C47C2×D411yescharacteristic
690C22⋊C4×C47C2×D411yescharacteristic
691C22⋊C4×C47C2×D411yescharacteristic
692C22⋊C4×C47C2×D411yescharacteristic
693C22⋊C4×C47C2×D411yescharacteristic
694C42×C47—21no—
695C42×C47—21no—
696C42×C47—21no—
697C42×C47—21no—
698C42×C47—21no—
699C42×C47—21no—
700C42×C47C2×D411yescharacteristic
701C42×C47C2×D411yescharacteristic
702C42×C47C2411yescharacteristic
703C42×C47C2411yescharacteristic
704C42×C47C2411yescharacteristic
705C42×C47C2411yescharacteristic
706C23×C47—21no—
707C23×C47—21no—
708C23×C47—21no—
709C23×C47—21no—
710C23×C47—21no—
711C23×C47—21no—
712C23×C47—42no—
713C23×C47—42no—
714C23×C47—42no—
715C23×C47—81no—
716C23×C47—81no—
717C23×C47—81no—
718C23×C47—81no—
719C23×C47—81no—
720C23×C47—81no—
721C23×C47C22×D411yescharacteristic
722C23×C47C22×D411yescharacteristic
723C23×C47C22×D411yescharacteristic
724Q8×C47—21no—
725Q8×C47—21no—
726Q8×C47—21no—
727Q8×C47—21no—
728Q8×C47—21no—
729Q8×C47—21no—
730Q8×C47—21no—
731Q8×C47—21no—
732Q8×C47—41no—
733Q8×C47—81no—
734Q8×C47—81no—
735D4×C47—21no—
736D4×C47—21no—
737D4×C47—21no—
738D4×C47—21no—
739D4×C47—21no—
740D4×C47—21no—
741D4×C47—21no—
742D4×C47—21no—
743D4×C47—21no—
744D4×C47—21no—
745D4×C47—21no—
746D4×C47—41no—
747D4×C47—41no—
748D4×C47—41no—
749D4×C47—42no—
750D4×C47—42no—
751D4×C47—42no—
752D4×C47—42no—
753D4×C47—81no—
754D4×C47—81no—
755D4×C47—81no—
756D4×C47—81no—
757D4×C47—81no—
758D4×C47—81no—
759D4×C47—81no—
760D4×C47—81no—
761D4×C47—81no—
762D4×C47—81no—
763D4×C47—81no—
764D4×C47—81no—
765D4×C47—81no—
766D4×C47—81no—
767D4×C47—81no—
768D4×C47—81no—
769D4×C47—81no—
770D4×C47H(5,𝔽2)12yes—
771C2×C4×C47—21no—
772C2×C4×C47—21no—
773C2×C4×C47—21no—
774C2×C4×C47—21no—
775C2×C4×C47—21no—
776C2×C4×C47—21no—
777C2×C4×C47—21no—
778C2×C4×C47—21no—
779C2×C4×C47—21no—
780C2×C4×C47—21no—
781C2×C4×C47—21no—
782C2×C4×C47—21no—
783C2×C4×C47—21no—
784C2×C4×C47—21no—
785C2×C4×C47—21no—
786C2×C4×C47—21no—
787C2×C4×C47—41no—
788C2×C4×C47—41no—
789C2×C4×C47—42no—
790C2×C4×C47—42no—
791C2×C4×C47—81no—
792C2×C4×C47—81no—
793C2×C4×C47—81no—
794C2×C4×C47—81no—
795C2×C4×C47—81no—
796C2×C4×C47—81no—
797C2×C4×C47—81no—
798C2×C4×C47—81no—
799C2×C4×C47—81no—
800C2×C4×C47—81no—
801C2×C4×C47—81no—
802C2×C4×C47—81no—
803C2×C4×C47—81no—
804C2×C4×C47—81no—
805C2×C4×C47—81no—
806C2×C4×C47—81no—
807C2×C4×C47—81no—
808C2×C4×C47C22×D411yescharacteristic
809C2×C4×C47C22×D411yescharacteristic
810C2×C4×C47C22×D411yescharacteristic
811C2×C4×C47C22×D411yescharacteristic
812C2×C4×C47C22×D411yescharacteristic
813C2×C4×C47C22×D411yescharacteristic
814C2×C4×C47C22×D411yescharacteristic
815C2×C4×C47C22×D411yescharacteristic
816C2×C4×C47C22×D411yescharacteristic
817C2×C4×C47C22×D411yescharacteristic
818C2×C4×C47C22×D411yescharacteristic
819C2×C4×C47C2511yescharacteristic
820C8×C47—21no—
821C8×C47—21no—
822C8×C47—21no—
823C8×C47—21no—
824C8×C47—21no—
825C8×C47—21no—
826C8×C47—21no—
827C8×C47—21no—
828#62028C4711yesmaximal, characteristic, direct product factor, Sylow
829C22×C47—21no—
830C22×C47—21no—
831C22×C47—21no—
832C22×C47—21no—
833C22×C47—21no—
834C22×C47—21no—
835C22×C47—21no—
836C22×C47—21no—
837C22×C47—21no—
838C22×C47—22no—
839C22×C47—41no—
840C22×C47—41no—
841C22×C47—41no—
842C22×C47—41no—
843C22×C47—41no—
844C22×C47—41no—
845C22×C47—41no—
846C22×C47—41no—
847C22×C47—41no—
848C22×C47—41no—
849C22×C47—41no—
850C22×C47—41no—
851C22×C47—41no—
852C22×C47—41no—
853C22×C47—41no—
854C22×C47—41no—
855C22×C47—41no—
856C22×C47—84no—
857C22×C47—162no—
858C22×C47—162no—
859C22×C47C23×D411yescharacteristic
860C4×C47—21no—
861C4×C47—21no—
862C4×C47—21no—
863C4×C47—21no—
864C4×C47—21no—
865C4×C47—21no—
866C4×C47—21no—
867C4×C47—21no—
868C4×C47—21no—
869C4×C47—21no—
870C4×C47—21no—
871C4×C47—41no—
872C4×C47—41no—
873C4×C47—41no—
874C4×C47—41no—
875C4×C47—41no—
876C4×C47—41no—
877C4×C47—41no—
878C4×C47—41no—
879C4×C47—41no—
880C4×C47—41no—
881C4×C47C2×H(5,𝔽2)11yescharacteristic
882C4×C47#58511yescharacteristic
883#3562C2×C4711yescharacteristic, complemented
884#3513C2×C4711yescharacteristic, complemented
885#3403C2×C4711yescharacteristic, complemented
886#3394C2×C4711yescharacteristic, complemented
887#3376C2×C4711yescharacteristic, complemented
888#3361C2×C4711yescharacteristic, complemented
889#3332C2×C4711yescharacteristic, complemented
890#3323C2×C4711yescharacteristic, complemented
891#3322C2×C4711yescharacteristic, complemented
892#3315C2×C4711yescharacteristic, complemented
893#3308C2×C4711yescharacteristic, complemented
894#3301C2×C4711yescharacteristic, complemented
895#3280C2×C4711yescharacteristic, complemented
896#3275C2×C4711yescharacteristic, complemented
897#3275C2×C4711yescharacteristic, complemented
898#3272C2×C4711yescharacteristic, complemented
899#3268C2×C4711yescharacteristic, complemented
900#3264C2×C4711yescharacteristic, complemented
901#3259C2×C4711yescharacteristic, complemented
902#3258C2×C4711yescharacteristic, complemented
903#3256C2×C4711yescharacteristic, complemented
904#3224C2×C4711yescharacteristic, complemented
905#3221C2×C4711yescharacteristic, complemented
906#3212C2×C4711yescharacteristic, complemented
907#3123C2×C4711yescharacteristic, complemented
908#3119C2×C4711yescharacteristic, complemented
909#3105C2×C4711yescharacteristic, complemented
910#3046C2×C4711yescharacteristic, complemented
911#3041C2×C4711yescharacteristic, complemented
912#3036C2×C4711yescharacteristic, complemented
913#2993C2×C4711yescharacteristic, complemented
914C2×C47—41no—
915C2×C47—41no—
916C2×C47—41no—
917C2×C47—42no—
918C2×C47—81no—
919C2×C47—81no—
920C2×C47—81no—
921C2×C47—81no—
922C2×C47—81no—
923C2×C47#348811yescharacteristic
924C2×C47#358411yescharacteristic
925C2×C47#358511yescharacteristic
926C2×#137C22×C4711yescharacteristic, complemented
927C2×AGL(1,ℤ/8)C22×C4711yescharacteristic
928C2×AGL(1,ℤ/8)C22×C4711yescharacteristic
929C2×AGL(1,ℤ/8)C22×C4711yescharacteristic, complemented
930C2×#135C22×C4711yescharacteristic
931C22×D8C22×C4711yescharacteristic
932#562—21no—
933#560—21no—
934#559C22×C4711yescharacteristic, complemented
935#559C22×C4711yescharacteristic, complemented
936#556C22×C4711yescharacteristic, complemented
937#554C22×C4711yescharacteristic, complemented
938#553—21no—
939#553—21no—
940#553C22×C4711yescharacteristic
941#552C22×C4711yescharacteristic
942#551—21no—
943#551—21no—
944#551—21no—
945#550C22×C4711yescharacteristic, complemented
946#548C22×C4711yescharacteristic, complemented
947#548C22×C4711yescharacteristic, complemented
948#547C22×C4711yescharacteristic
949#547C22×C4711yescharacteristic, complemented
950#546—21no—
951#546C22×C4711yescharacteristic
952#546C22×C4711yescharacteristic
953#546C22×C4711yescharacteristic, complemented
954#546C22×C4711yescharacteristic, complemented
955D42C22×C4711yescharacteristic
956#542C22×C4711yescharacteristic
957#541C22×C4711yescharacteristic, complemented
958#540—21no—
959#540C22×C4711yescharacteristic, complemented
960#540C22×C4711yescharacteristic, complemented
961#539—21no—
962#539—21no—
963#538—21no—
964#538—21no—
965#538—21no—
966#536C22×C4711yescharacteristic, complemented
967#535C22×C4711yescharacteristic, complemented
968#532C22×C4711yescharacteristic, complemented
969#529C22×C4711yescharacteristic
970#529C22×C4711yescharacteristic, complemented
971#529C22×C4711yescharacteristic, complemented
972#525—21no—
973C2×#123—21no—
974#520C22×C4711yescharacteristic, complemented
975#518C22×C4711yescharacteristic
976C2×C4×D4C22×C4711yescharacteristic, complemented
977#496C22×C4711yescharacteristic
978#496C22×C4711yescharacteristic, complemented
979#495C22×C4711yescharacteristic, complemented
980#495C22×C4711yescharacteristic, complemented
981#495C22×C4711yescharacteristic, complemented
982#492C22×C4711yescharacteristic, complemented
983#491C22×C4711yescharacteristic, complemented
984#489C22×C4711yescharacteristic, complemented
985#488C22×C4711yescharacteristic, complemented
986#488C22×C4711yescharacteristic, complemented
987#488C22×C4711yescharacteristic, complemented
988#486C22×C4711yescharacteristic, complemented
989#485C22×C4711yescharacteristic, complemented
990#485C22×C4711yescharacteristic, complemented
991#484C22×C4711yescharacteristic, complemented
992#481C22×C4711yescharacteristic, complemented
993#481C22×C4711yescharacteristic, complemented
994#480C22×C4711yescharacteristic, complemented
995#479C22×C4711yescharacteristic, complemented
996#479C22×C4711yescharacteristic, complemented
997#478C22×C4711yescharacteristic, complemented
998#478C22×C4711yescharacteristic, complemented
999#478C22×C4711yescharacteristic, complemented
1000#478C22×C4711yescharacteristic, complemented
1001#478C22×C4711yescharacteristic, complemented
1002#478C22×C4711yescharacteristic, complemented
1003#477C22×C4711yescharacteristic, complemented
1004#475C22×C4711yescharacteristic, complemented
1005#470C22×C4711yescharacteristic, complemented
1006#470C22×C4711yescharacteristic, complemented
1007#469C22×C4711yescharacteristic
1008#469C22×C4711yescharacteristic, complemented
1009#469C22×C4711yescharacteristic, complemented
1010#468C22×C4711yescharacteristic
1011#468C22×C4711yescharacteristic, complemented
1012#468C22×C4711yescharacteristic, complemented
1013#467C22×C4711yescharacteristic, complemented
1014#466C22×C4711yescharacteristic, complemented
1015#466C22×C4711yescharacteristic, complemented
1016#465C22×C4711yescharacteristic
1017#464C22×C4711yescharacteristic, complemented
1018#464C22×C4711yescharacteristic, complemented
1019#464C22×C4711yescharacteristic, complemented
1020#464C22×C4711yescharacteristic, complemented
1021#464C22×C4711yescharacteristic, complemented
1022#463C22×C4711yescharacteristic
1023#463C22×C4711yescharacteristic
1024#463C22×C4711yescharacteristic
1025#463C22×C4711yescharacteristic
1026#463C22×C4711yescharacteristic, complemented
1027#463C22×C4711yescharacteristic, complemented
1028#463C22×C4711yescharacteristic, complemented
1029#463C22×C4711yescharacteristic, complemented
1030#463C22×C4711yescharacteristic, complemented
1031#463C22×C4711yescharacteristic, complemented
1032#463C22×C4711yescharacteristic, complemented
1033#462C22×C4711yescharacteristic, complemented
1034#462C22×C4711yescharacteristic, complemented
1035#461C22×C4711yescharacteristic, complemented
1036#461C22×C4711yescharacteristic, complemented
1037#461C22×C4711yescharacteristic, complemented
1038#461C22×C4711yescharacteristic, complemented
1039#460C22×C4711yescharacteristic, complemented
1040#459C22×C4711yescharacteristic
1041#459C22×C4711yescharacteristic
1042#459C22×C4711yescharacteristic
1043#459C22×C4711yescharacteristic, complemented
1044#459C22×C4711yescharacteristic, complemented
1045#459C22×C4711yescharacteristic, complemented
1046#459C22×C4711yescharacteristic, complemented
1047#452C22×C4711yescharacteristic, complemented
1048#452C22×C4711yescharacteristic, complemented
1049#452C22×C4711yescharacteristic, complemented
1050#450C22×C4711yescharacteristic
1051#450C22×C4711yescharacteristic
1052#450C22×C4711yescharacteristic, complemented
1053#450C22×C4711yescharacteristic, complemented
1054#449C22×C4711yescharacteristic
1055#449C22×C4711yescharacteristic
1056#449C22×C4711yescharacteristic
1057#449C22×C4711yescharacteristic, complemented
1058#449C22×C4711yescharacteristic, complemented
1059#449C22×C4711yescharacteristic, complemented
1060#449C22×C4711yescharacteristic, complemented
1061#448C22×C4711yescharacteristic, complemented
1062#448C22×C4711yescharacteristic, complemented
1063#447C22×C4711yescharacteristic
1064#447C22×C4711yescharacteristic
1065#446C22×C4711yescharacteristic, complemented
1066C8×Q8C22×C4711yescharacteristic, complemented
1067#442C22×C4711yescharacteristic
1068#440C22×C4711yescharacteristic, complemented
1069#440C22×C4711yescharacteristic, complemented
1070#440C22×C4711yescharacteristic, complemented
1071C4×SD16C22×C4711yescharacteristic, complemented
1072C4×SD16C22×C4711yescharacteristic, complemented
1073C4×SD16C22×C4711yescharacteristic, complemented
1074C4×SD16C22×C4711yescharacteristic, complemented
1075C4×SD16C22×C4711yescharacteristic, complemented
1076C4×D8C22×C4711yescharacteristic
1077C4×D8C22×C4711yescharacteristic, complemented
1078C4×D8C22×C4711yescharacteristic, complemented
1079#436C22×C4711yescharacteristic
1080#436C22×C4711yescharacteristic, complemented
1081#436C22×C4711yescharacteristic, complemented
1082#435C22×C4711yescharacteristic
1083#435C22×C4711yescharacteristic, complemented
1084C8×D4C22×C4711yescharacteristic, complemented
1085#433C22×C4711yescharacteristic, complemented
1086#433C22×C4711yescharacteristic, complemented
1087#431C22×C4711yescharacteristic, complemented
1088#424C22×C4711yescharacteristic, complemented
1089#424C22×C4711yescharacteristic, complemented
1090#423C22×C4711yescharacteristic, complemented
1091#418C22×C4711yescharacteristic, complemented
1092#417C22×C4711yescharacteristic, complemented
1093#417C22×C4711yescharacteristic, complemented
1094#417C22×C4711yescharacteristic, complemented
1095#416C22×C4711yescharacteristic, complemented
1096C2×#103C22×C4711yescharacteristic, complemented
1097C47#6202811yescharacteristic, direct product factor, Sylow
1098C2×#41—21no—
1099C2×#41C23×C4711yescharacteristic
1100C2×#41C23×C4711yescharacteristic
1101C2×#41C23×C4711yescharacteristic
1102C2×#41C23×C4711yescharacteristic
1103C2×#41C23×C4711yescharacteristic
1104C22×Q8C23×C4711yescharacteristic
1105C22×D4—21no—
1106C22×D4C23×C4711yescharacteristic
1107C22×D4C23×C4711yescharacteristic
1108C22×D4C23×C4711yescharacteristic
1109C23×C4—21no—
1110#137—42no—
1111AGL(1,ℤ/8)—42no—
1112AGL(1,ℤ/8)—42no—
1113AGL(1,ℤ/8)—42no—
1114#135—42no—
1115C2×Q16C23×C4711yescharacteristic
1116C2×Q16C23×C4711yescharacteristic
1117C2×Q16C23×C4711yescharacteristic
1118C2×SD16C23×C4711yescharacteristic
1119C2×SD16C23×C4711yescharacteristic
1120C2×SD16C23×C4711yescharacteristic
1121C2×SD16C23×C4711yescharacteristic
1122C2×SD16C23×C4711yescharacteristic
1123C2×SD16C23×C4711yescharacteristic
1124C2×SD16C23×C4711yescharacteristic
1125C2×SD16C23×C4711yescharacteristic
1126C2×SD16C23×C4711yescharacteristic
1127C2×SD16C23×C4711yescharacteristic
1128C2×SD16C23×C4711yescharacteristic
1129C2×SD16C23×C4711yescharacteristic
1130C2×D8—42no—
1131C2×D8C23×C4711yescharacteristic
1132C2×D8C23×C4711yescharacteristic
1133C2×D8C23×C4711yescharacteristic
1134C2×D8C23×C4711yescharacteristic
1135C2×D8C23×C4711yescharacteristic
1136C2×D8C23×C4711yescharacteristic
1137C2×D8C23×C4711yescharacteristic
1138C2×D8C23×C4711yescharacteristic
1139C2×D8C23×C4711yescharacteristic
1140C2×M16C23×C4711yescharacteristic
1141C2×M16C23×C4711yescharacteristic
1142C2×M16C23×C4711yescharacteristic
1143C2×M16C23×C4711yescharacteristic
1144C22×C8C23×C4711yescharacteristic
1145C22×C8C23×C4711yescharacteristic
1146C4⋊Q8C23×C4711yescharacteristic
1147C4⋊Q8C23×C4711yescharacteristic
1148C4⋊Q8C23×C4711yescharacteristic
1149#127—21no—
1150#127C23×C4711yescharacteristic
1151#127C23×C4711yescharacteristic
1152#127C23×C4711yescharacteristic
1153#126—21no—
1154#126—21no—
1155#126—21no—
1156#126—21no—
1157#126—21no—
1158#126—21no—
1159#126—21no—
1160#126—21no—
1161#126—21no—
1162#126D4×C4711yescharacteristic
1163#126D4×C4711yescharacteristic
1164#125—21no—
1165#125—21no—
1166#125—21no—
1167#125D4×C4711yescharacteristic
1168#125C23×C4711yescharacteristic
1169#125C23×C4711yescharacteristic
1170#125C23×C4711yescharacteristic
1171#124—21no—
1172#124—21no—
1173#124—21no—
1174#124—21no—
1175#124—21no—
1176#124D4×C4711yescharacteristic
1177#124C23×C4711yescharacteristic
1178#124C23×C4711yescharacteristic
1179#124C23×C4711yescharacteristic
1180#124C23×C4711yescharacteristic
1181#124C23×C4711yescharacteristic
1182#124C23×C4711yescharacteristic
1183#124C23×C4711yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—21no—
1198#123—21no—
1199#123—21no—
1200#123—21no—
1201#123—21no—
1202#123—21no—
1203#123—21no—
1204#123—21no—
1205#123—21no—
1206#123—21no—
1207#123D4×C4711yescharacteristic
1208#123D4×C4711yescharacteristic
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—21no—
1214C22⋊Q8—21no—
1215C22⋊Q8—21no—
1216C22⋊Q8—21no—
1217C22⋊Q8—21no—
1218C22⋊Q8—21no—
1219C22⋊Q8D4×C4711yescharacteristic
1220C22⋊Q8C23×C4711yescharacteristic
1221C22⋊Q8C23×C4711yescharacteristic
1222C22⋊Q8C23×C4711yescharacteristic
1223C22⋊Q8C23×C4711yescharacteristic
1224C22⋊Q8C23×C4711yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—21no—
1240#121—21no—
1241#121—21no—
1242#121—21no—
1243#121—21no—
1244#121D4×C4711yescharacteristic
1245#121C23×C4711yescharacteristic
1246#121C23×C4711yescharacteristic
1247#121C23×C4711yescharacteristic
1248#121C23×C4711yescharacteristic
1249#121C23×C4711yescharacteristic
1250#121C23×C4711yescharacteristic
1251#121C23×C4711yescharacteristic
1252#120—21no—
1253#120—21no—
1254#120—21no—
1255#120—21no—
1256#120—21no—
1257#120—21no—
1258#120—21no—
1259#120—21no—
1260C4×Q8C23×C4711yescharacteristic
1261C4×Q8C23×C4711yescharacteristic
1262C4×Q8C23×C4711yescharacteristic
1263C4×Q8C23×C4711yescharacteristic
1264C4×Q8C23×C4711yescharacteristic
1265C4×Q8C23×C4711yescharacteristic
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4—21no—
1281C4×D4—21no—
1282C4×D4C23×C4711yescharacteristic
1283C4×D4C23×C4711yescharacteristic
1284C4×D4C23×C4711yescharacteristic
1285C4×D4C23×C4711yescharacteristic
1286C4×D4C23×C4711yescharacteristic
1287C4×D4C23×C4711yescharacteristic
1288C4×D4C23×C4711yescharacteristic
1289C4×D4C23×C4711yescharacteristic
1290C4×D4C23×C4711yescharacteristic
1291C4×D4C23×C4711yescharacteristic
1292C4×D4C23×C4711yescharacteristic
1293C4×D4C23×C4711yescharacteristic
1294C4×D4C23×C4711yescharacteristic
1295C4×D4C23×C4711yescharacteristic
1296#117—21no—
1297#117—21no—
1298#117—21no—
1299#117—21no—
1300#117—21no—
1301#117C23×C4711yescharacteristic
1302#117C23×C4711yescharacteristic
1303#117C23×C4711yescharacteristic
1304C2×C4⋊C4—21no—
1305C2×C4⋊C4—21no—
1306C2×C4⋊C4—21no—
1307C2×C4⋊C4C23×C4711yescharacteristic
1308C2×C4⋊C4C23×C4711yescharacteristic
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—21no—
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—21no—
1314C2×C22⋊C4—21no—
1315C2×C22⋊C4—21no—
1316C2×C42C23×C4711yescharacteristic
1317#107C23×C4711yescharacteristic
1318#107C23×C4711yescharacteristic
1319#107C23×C4711yescharacteristic
1320#107C23×C4711yescharacteristic
1321#106C23×C4711yescharacteristic
1322#106C23×C4711yescharacteristic
1323#106C23×C4711yescharacteristic
1324#106C23×C4711yescharacteristic
1325C4⋊C8C23×C4711yescharacteristic
1326C4⋊C8C23×C4711yescharacteristic
1327C4⋊C8C23×C4711yescharacteristic
1328C4⋊C8C23×C4711yescharacteristic
1329C4⋊C8C23×C4711yescharacteristic
1330C4⋊C8C23×C4711yescharacteristic
1331C4⋊C8C23×C4711yescharacteristic
1332C4⋊C8C23×C4711yescharacteristic
1333C4⋊C8C23×C4711yescharacteristic
1334C4⋊C8C23×C4711yescharacteristic
1335#103C23×C4711yescharacteristic
1336#103C23×C4711yescharacteristic
1337#103C23×C4711yescharacteristic
1338#103C23×C4711yescharacteristic
1339#103C23×C4711yescharacteristic
1340#103C23×C4711yescharacteristic
1341#103C23×C4711yescharacteristic
1342#103C23×C4711yescharacteristic
1343#103C23×C4711yescharacteristic
1344#103C23×C4711yescharacteristic
1345#103C23×C4711yescharacteristic
1346#103C23×C4711yescharacteristic
1347#103C23×C4711yescharacteristic
1348#103C23×C4711yescharacteristic
1349#102C23×C4711yescharacteristic
1350#102C23×C4711yescharacteristic
1351#102C23×C4711yescharacteristic
1352#102C23×C4711yescharacteristic
1353#102C23×C4711yescharacteristic
1354#102C23×C4711yescharacteristic
1355#102C23×C4711yescharacteristic
1356#102C23×C4711yescharacteristic
1357#102C23×C4711yescharacteristic
1358#102C23×C4711yescharacteristic
1359#102C23×C4711yescharacteristic
1360#102C23×C4711yescharacteristic
1361#102C23×C4711yescharacteristic
1362#102C23×C4711yescharacteristic
1363#102C23×C4711yescharacteristic
1364#102C23×C4711yescharacteristic
1365#102C23×C4711yescharacteristic
1366#102C23×C4711yescharacteristic
1367C22⋊C8C23×C4711yescharacteristic
1368C22⋊C8C23×C4711yescharacteristic
1369C22⋊C8C23×C4711yescharacteristic
1370C22⋊C8C23×C4711yescharacteristic
1371C22⋊C8C23×C4711yescharacteristic
1372C22⋊C8C23×C4711yescharacteristic
1373#97C23×C4711yescharacteristic
1374#97C23×C4711yescharacteristic
1375C4×C8C23×C4711yescharacteristic
1376C4×C8C23×C4711yescharacteristic
1377C4×C8C23×C4711yescharacteristic
1378C4×C8C23×C4711yescharacteristic
1379C24—21no—
1380C24—21no—
1381C24—21no—
1382#41—22no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—41no—
1388#41—41no—
1389#41—41no—
1390#41—41no—
1391#41—41no—
1392#41—82no—
1393C2×Q8—21no—
1394C2×Q8—21no—
1395C2×Q8—41no—
1396C2×Q8—41no—
1397C2×Q8C2×D4×C4711yescharacteristic
1398C2×Q8C24×C4711yescharacteristic
1399C2×Q8C24×C4711yescharacteristic
1400C2×Q8C24×C4711yescharacteristic
1401C2×Q8C24×C4711yescharacteristic
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—41no—
1426C2×D4—41no—
1427C2×D4—41no—
1428C2×D4—41no—
1429C2×D4—82no—
1430C2×D4C2×D4×C4711yescharacteristic
1431C2×D4C2×D4×C4711yescharacteristic
1432C2×D4C2×D4×C4711yescharacteristic
1433C2×D4C24×C4711yescharacteristic
1434C2×D4C24×C4711yescharacteristic
1435C2×D4C24×C4711yescharacteristic
1436C2×D4C24×C4711yescharacteristic
1437C2×D4C24×C4711yescharacteristic
1438C2×D4C24×C4711yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—82no—
1459C22×C4C2×D4×C4711yescharacteristic
1460C22×C4C2×D4×C4711yescharacteristic
1461C22×C4C24×C4711yescharacteristic
1462C22×C4C24×C4711yescharacteristic
1463C22×C4C24×C4711yescharacteristic
1464Q16—41no—
1465Q16—41no—
1466Q16—41no—
1467SD16—22no—
1468SD16—22no—
1469SD16—22no—
1470SD16—41no—
1471SD16—41no—
1472SD16—41no—
1473SD16—41no—
1474SD16—41no—
1475SD16—41no—
1476SD16—41no—
1477SD16—41no—
1478SD16—41no—
1479D8—22no—
1480D8—22no—
1481D8—22no—
1482D8—41no—
1483D8—41no—
1484D8—41no—
1485D8—41no—
1486D8—41no—
1487D8—41no—
1488M16—41no—
1489M16—41no—
1490M16—41no—
1491M16—41no—
1492C2×C8—41no—
1493C2×C8—41no—
1494C2×C8C24×C4711yescharacteristic
1495C2×C8C24×C4711yescharacteristic
1496C2×C8C24×C4711yescharacteristic
1497C2×C8C24×C4711yescharacteristic
1498C2×C8C24×C4711yescharacteristic
1499C2×C8C24×C4711yescharacteristic
1500C2×C8C24×C4711yescharacteristic
1501C2×C8C24×C4711yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4—21no—
1525C4⋊C4C2×D4×C4711yescharacteristic
1526C4⋊C4C2×D4×C4711yescharacteristic
1527C4⋊C4C2×D4×C4711yescharacteristic
1528C4⋊C4C2×D4×C4711yescharacteristic
1529C4⋊C4C2×D4×C4711yescharacteristic
1530C4⋊C4C2×D4×C4711yescharacteristic
1531C4⋊C4C2×D4×C4711yescharacteristic
1532C4⋊C4C2×D4×C4711yescharacteristic
1533C4⋊C4C2×D4×C4711yescharacteristic
1534C4⋊C4C2×D4×C4711yescharacteristic
1535C4⋊C4C24×C4711yescharacteristic
1536C4⋊C4C24×C4711yescharacteristic
1537C4⋊C4C24×C4711yescharacteristic
1538C4⋊C4C24×C4711yescharacteristic
1539C4⋊C4C24×C4711yescharacteristic
1540C4⋊C4C24×C4711yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4C2×D4×C4711yescharacteristic
1580C22⋊C4C2×D4×C4711yescharacteristic
1581C22⋊C4C2×D4×C4711yescharacteristic
1582C22⋊C4C2×D4×C4711yescharacteristic
1583C22⋊C4C2×D4×C4711yescharacteristic
1584C22⋊C4C2×D4×C4711yescharacteristic
1585C22⋊C4C2×D4×C4711yescharacteristic
1586C22⋊C4C2×D4×C4711yescharacteristic
1587C22⋊C4C2×D4×C4711yescharacteristic
1588C22⋊C4C2×D4×C4711yescharacteristic
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—21no—
1593C42—21no—
1594C42—21no—
1595C42C2×D4×C4711yescharacteristic
1596C42C2×D4×C4711yescharacteristic
1597C42C24×C4711yescharacteristic
1598C42C24×C4711yescharacteristic
1599C42C24×C4711yescharacteristic
1600C42C24×C4711yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—42no—
1608C23—42no—
1609C23—42no—
1610C23—81no—
1611C23—81no—
1612C23—81no—
1613C23—81no—
1614C23—81no—
1615C23—81no—
1616C23C22×D4×C4711yescharacteristic
1617C23C22×D4×C4711yescharacteristic
1618C23C22×D4×C4711yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—21no—
1626Q8—21no—
1627Q8—41no—
1628Q8—81no—
1629Q8—81no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—21no—
1639D4—21no—
1640D4—21no—
1641D4—41no—
1642D4—41no—
1643D4—41no—
1644D4—42no—
1645D4—42no—
1646D4—42no—
1647D4—42no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651D4—81no—
1652D4—81no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4H(5,𝔽2)×C4712yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—42no—
1685C2×C4—42no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4—81no—
1695C2×C4—81no—
1696C2×C4—81no—
1697C2×C4—81no—
1698C2×C4—81no—
1699C2×C4—81no—
1700C2×C4—81no—
1701C2×C4—81no—
1702C2×C4—81no—
1703C2×C4C22×D4×C4711yescharacteristic
1704C2×C4C22×D4×C4711yescharacteristic
1705C2×C4C22×D4×C4711yescharacteristic
1706C2×C4C22×D4×C4711yescharacteristic
1707C2×C4C22×D4×C4711yescharacteristic
1708C2×C4C22×D4×C4711yescharacteristic
1709C2×C4C22×D4×C4711yescharacteristic
1710C2×C4C22×D4×C4711yescharacteristic
1711C2×C4C22×D4×C4711yescharacteristic
1712C2×C4C22×D4×C4711yescharacteristic
1713C2×C4C22×D4×C4711yescharacteristic
1714C2×C4C25×C4711yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—21no—
1720C8—21no—
1721C8—21no—
1722C8—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—21no—
1732C22—22no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—84no—
1751C22—162no—
1752C22—162no—
1753C22C23×D4×C4711yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—21no—
1763C4—21no—
1764C4—21no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4C2×H(5,𝔽2)×C4711yescharacteristic
1776C4C47×#58511yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—41no—
1780C2—42no—
1781C2—81no—
1782C2—81no—
1783C2—81no—
1784C2—81no—
1785C2—81no—
1786C2C47×#348811yescharacteristic
1787C2C47×#358411yescharacteristic
1788C2C47×#358511yescharacteristic
subgroupG/H
center, socleC22×C47C23×D4
commutator, Frattini, cosocleC2×C4C25×C47
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C47 ◁ C47×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#3562C2semidirect
2. C47×#3513C2semidirect
3. C47×#3403C2semidirect
4. C47×#3394C2semidirect
5. C47×#3376C2semidirect
6. C47×#3361C2semidirect
7. C47×#3332C2semidirect
8. C47×#3323C2semidirect
9. C47×#3322C2semidirect
10. C47×#3315C2semidirect
11. C47×#3308C2semidirect
12. C47×#3301C2semidirect
13. C47×#3280C2semidirect
14. C47×#3275C2semidirect
15. C47×#3275C2semidirect
16. C47×#3272C2semidirect
17. C47×#3268C2semidirect
18. C47×#3264C2semidirect
19. C47×#3259C2semidirect
20. C47×#3258C2semidirect
21. C47×#3256C2semidirect
22. C47×#3224C2semidirect
23. C47×#3221C2semidirect
24. C47×#3212C2semidirect
25. C47×#3123C2semidirect
26. C47×#3119C2semidirect
27. C47×#3105C2semidirect
28. C47×#3046C2semidirect
29. C47×#3041C2semidirect
30. C47×#3036C2semidirect
31. C47×#2993C2semidirect
32. C2×#137×C47C22semidirect
35. C2×AGL(1,ℤ/8)×C47C22semidirect
40. C47×#559C22semidirect
41. C47×#559C22semidirect
42. C47×#556C22semidirect
43. C47×#554C22semidirect
51. C47×#550C22semidirect
52. C47×#548C22semidirect
53. C47×#548C22semidirect
55. C47×#547C22semidirect
59. C47×#546C22semidirect
60. C47×#546C22semidirect
63. C47×#541C22semidirect
65. C47×#540C22semidirect
66. C47×#540C22semidirect
72. C47×#536C22semidirect
73. C47×#535C22semidirect
74. C47×#532C22semidirect
76. C47×#529C22semidirect
77. C47×#529C22semidirect
80. C47×#520C22semidirect
82. C2×C4×D4×C47C22semidirect
84. C47×#496C22semidirect
85. C47×#495C22semidirect
86. C47×#495C22semidirect
87. C47×#495C22semidirect
88. C47×#492C22semidirect
89. C47×#491C22semidirect
90. C47×#489C22semidirect
91. C47×#488C22semidirect
92. C47×#488C22semidirect
93. C47×#488C22semidirect
94. C47×#486C22semidirect
95. C47×#485C22semidirect
96. C47×#485C22semidirect
97. C47×#484C22semidirect
98. C47×#481C22semidirect
99. C47×#481C22semidirect
100. C47×#480C22semidirect
101. C47×#479C22semidirect
102. C47×#479C22semidirect
103. C47×#478C22semidirect
104. C47×#478C22semidirect
105. C47×#478C22semidirect
106. C47×#478C22semidirect
107. C47×#478C22semidirect
108. C47×#478C22semidirect
109. C47×#477C22semidirect
110. C47×#475C22semidirect
111. C47×#470C22semidirect
112. C47×#470C22semidirect
114. C47×#469C22semidirect
115. C47×#469C22semidirect
117. C47×#468C22semidirect
118. C47×#468C22semidirect
119. C47×#467C22semidirect
120. C47×#466C22semidirect
121. C47×#466C22semidirect
123. C47×#464C22semidirect
124. C47×#464C22semidirect
125. C47×#464C22semidirect
126. C47×#464C22semidirect
127. C47×#464C22semidirect
132. C47×#463C22semidirect
133. C47×#463C22semidirect
134. C47×#463C22semidirect
135. C47×#463C22semidirect
136. C47×#463C22semidirect
137. C47×#463C22semidirect
138. C47×#463C22semidirect
139. C47×#462C22semidirect
140. C47×#462C22semidirect
141. C47×#461C22semidirect
142. C47×#461C22semidirect
143. C47×#461C22semidirect
144. C47×#461C22semidirect
145. C47×#460C22semidirect
149. C47×#459C22semidirect
150. C47×#459C22semidirect
151. C47×#459C22semidirect
152. C47×#459C22semidirect
153. C47×#452C22semidirect
154. C47×#452C22semidirect
155. C47×#452C22semidirect
158. C47×#450C22semidirect
159. C47×#450C22semidirect
163. C47×#449C22semidirect
164. C47×#449C22semidirect
165. C47×#449C22semidirect
166. C47×#449C22semidirect
167. C47×#448C22semidirect
168. C47×#448C22semidirect
171. C47×#446C22semidirect
172. C8×Q8×C47C22semidirect
174. C47×#440C22semidirect
175. C47×#440C22semidirect
176. C47×#440C22semidirect
177. C4×SD16×C47C22semidirect
178. C4×SD16×C47C22semidirect
179. C4×SD16×C47C22semidirect
180. C4×SD16×C47C22semidirect
181. C4×SD16×C47C22semidirect
183. C4×D8×C47C22semidirect
184. C4×D8×C47C22semidirect
186. C47×#436C22semidirect
187. C47×#436C22semidirect
189. C47×#435C22semidirect
190. C8×D4×C47C22semidirect
191. C47×#433C22semidirect
192. C47×#433C22semidirect
193. C47×#431C22semidirect
194. C47×#424C22semidirect
195. C47×#424C22semidirect
196. C47×#423C22semidirect
197. C47×#418C22semidirect
198. C47×#417C22semidirect
199. C47×#417C22semidirect
200. C47×#417C22semidirect
201. C47×#416C22semidirect
202. C2×#103×C47C22semidirect
828. #62028C47direct (N × H)
883. #3562C2×C47semidirect
884. #3513C2×C47semidirect
885. #3403C2×C47semidirect
886. #3394C2×C47semidirect
887. #3376C2×C47semidirect
888. #3361C2×C47semidirect
889. #3332C2×C47semidirect
890. #3323C2×C47semidirect
891. #3322C2×C47semidirect
892. #3315C2×C47semidirect
893. #3308C2×C47semidirect
894. #3301C2×C47semidirect
895. #3280C2×C47semidirect
896. #3275C2×C47semidirect
897. #3275C2×C47semidirect
898. #3272C2×C47semidirect
899. #3268C2×C47semidirect
900. #3264C2×C47semidirect
901. #3259C2×C47semidirect
902. #3258C2×C47semidirect
903. #3256C2×C47semidirect
904. #3224C2×C47semidirect
905. #3221C2×C47semidirect
906. #3212C2×C47semidirect
907. #3123C2×C47semidirect
908. #3119C2×C47semidirect
909. #3105C2×C47semidirect
910. #3046C2×C47semidirect
911. #3041C2×C47semidirect
912. #3036C2×C47semidirect
913. #2993C2×C47semidirect
926. C2×#137C22×C47semidirect
929. C2×AGL(1,ℤ/8)C22×C47semidirect
934. #559C22×C47semidirect
935. #559C22×C47semidirect
936. #556C22×C47semidirect
937. #554C22×C47semidirect
945. #550C22×C47semidirect
946. #548C22×C47semidirect
947. #548C22×C47semidirect
949. #547C22×C47semidirect
953. #546C22×C47semidirect
954. #546C22×C47semidirect
957. #541C22×C47semidirect
959. #540C22×C47semidirect
960. #540C22×C47semidirect
966. #536C22×C47semidirect
967. #535C22×C47semidirect
968. #532C22×C47semidirect
970. #529C22×C47semidirect
971. #529C22×C47semidirect
974. #520C22×C47semidirect
976. C2×C4×D4C22×C47semidirect
978. #496C22×C47semidirect
979. #495C22×C47semidirect
980. #495C22×C47semidirect
981. #495C22×C47semidirect
982. #492C22×C47semidirect
983. #491C22×C47semidirect
984. #489C22×C47semidirect
985. #488C22×C47semidirect
986. #488C22×C47semidirect
987. #488C22×C47semidirect
988. #486C22×C47semidirect
989. #485C22×C47semidirect
990. #485C22×C47semidirect
991. #484C22×C47semidirect
992. #481C22×C47semidirect
993. #481C22×C47semidirect
994. #480C22×C47semidirect
995. #479C22×C47semidirect
996. #479C22×C47semidirect
997. #478C22×C47semidirect
998. #478C22×C47semidirect
999. #478C22×C47semidirect
1000. #478C22×C47semidirect
1001. #478C22×C47semidirect
1002. #478C22×C47semidirect
1003. #477C22×C47semidirect
1004. #475C22×C47semidirect
1005. #470C22×C47semidirect
1006. #470C22×C47semidirect
1008. #469C22×C47semidirect
1009. #469C22×C47semidirect
1011. #468C22×C47semidirect
1012. #468C22×C47semidirect
1013. #467C22×C47semidirect
1014. #466C22×C47semidirect
1015. #466C22×C47semidirect
1017. #464C22×C47semidirect
1018. #464C22×C47semidirect
1019. #464C22×C47semidirect
1020. #464C22×C47semidirect
1021. #464C22×C47semidirect
1026. #463C22×C47semidirect
1027. #463C22×C47semidirect
1028. #463C22×C47semidirect
1029. #463C22×C47semidirect
1030. #463C22×C47semidirect
1031. #463C22×C47semidirect
1032. #463C22×C47semidirect
1033. #462C22×C47semidirect
1034. #462C22×C47semidirect
1035. #461C22×C47semidirect
1036. #461C22×C47semidirect
1037. #461C22×C47semidirect
1038. #461C22×C47semidirect
1039. #460C22×C47semidirect
1043. #459C22×C47semidirect
1044. #459C22×C47semidirect
1045. #459C22×C47semidirect
1046. #459C22×C47semidirect
1047. #452C22×C47semidirect
1048. #452C22×C47semidirect
1049. #452C22×C47semidirect
1052. #450C22×C47semidirect
1053. #450C22×C47semidirect
1057. #449C22×C47semidirect
1058. #449C22×C47semidirect
1059. #449C22×C47semidirect
1060. #449C22×C47semidirect
1061. #448C22×C47semidirect
1062. #448C22×C47semidirect
1065. #446C22×C47semidirect
1066. C8×Q8C22×C47semidirect
1068. #440C22×C47semidirect
1069. #440C22×C47semidirect
1070. #440C22×C47semidirect
1071. C4×SD16C22×C47semidirect
1072. C4×SD16C22×C47semidirect
1073. C4×SD16C22×C47semidirect
1074. C4×SD16C22×C47semidirect
1075. C4×SD16C22×C47semidirect
1077. C4×D8C22×C47semidirect
1078. C4×D8C22×C47semidirect
1080. #436C22×C47semidirect
1081. #436C22×C47semidirect
1083. #435C22×C47semidirect
1084. C8×D4C22×C47semidirect
1085. #433C22×C47semidirect
1086. #433C22×C47semidirect
1087. #431C22×C47semidirect
1088. #424C22×C47semidirect
1089. #424C22×C47semidirect
1090. #423C22×C47semidirect
1091. #418C22×C47semidirect
1092. #417C22×C47semidirect
1093. #417C22×C47semidirect
1094. #417C22×C47semidirect
1095. #416C22×C47semidirect
1096. C2×#103C22×C47semidirect
1097. C47#62028direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#35622
C47×#35132
C47×#34032
C47×#33942
C47×#33762
C47×#33612
C47×#33322
C47×#33232
C47×#33222
C47×#33152
C47×#33082
C47×#33012
C47×#32802
C47×#32752
C47×#32722
C47×#32682
C47×#32642
C47×#32592
C47×#32582
C47×#32562
C47×#32242
C47×#32212
C47×#32122
C47×#31232
C47×#31192
C47×#31052
C47×#30462
C47×#30412
C47×#30362
C47×#29932
#6202847