Finite Group Databasebeta

← C47×#61918 #26101616

Subgroups — C47×#61918 #26101616

Order 12032.

1660 conjugacy classes of subgroups.

The subgroup lattice has 1646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3557C211yesmaximal, characteristic, complemented
2C47×#3507C211yesmaximal, characteristic, complemented
3C47×#3403C211yesmaximal, characteristic, complemented
4C47×#3402C211yesmaximal, characteristic, complemented
5C47×#3401C211yesmaximal, characteristic, complemented
6C47×#3401C211yesmaximal, characteristic, complemented
7C47×#3400C211yesmaximal, characteristic, complemented
8C47×#3398C211yesmaximal, characteristic, complemented
9C47×#3394C211yesmaximal, characteristic, complemented
10C47×#3393C211yesmaximal, characteristic, complemented
11C47×#3377C211yesmaximal, characteristic, complemented
12C47×#3376C211yesmaximal, characteristic, complemented
13C47×#3374C211yesmaximal, characteristic, complemented
14C47×#3372C211yesmaximal, characteristic, complemented
15C47×#3371C211yesmaximal, characteristic, complemented
16C47×#3370C211yesmaximal, characteristic, complemented
17C47×#3364C211yesmaximal, characteristic, complemented
18C47×#3360C211yesmaximal, characteristic, complemented
19C47×#3225C211yesmaximal, characteristic, complemented
20C47×#3225C211yesmaximal, characteristic, complemented
21C47×#3223C211yesmaximal, characteristic, complemented
22C47×#3221C211yesmaximal, characteristic, complemented
23C47×#3219C211yesmaximal, characteristic, complemented
24C47×#3212C211yesmaximal, characteristic, complemented
25C47×#3125C211yesmaximal, characteristic, complemented
26C47×#3124C211yesmaximal, characteristic, complemented
27C47×#3120C211yesmaximal, characteristic, complemented
28C47×#3119C211yesmaximal, characteristic, complemented
29C47×#3117C211yesmaximal, characteristic, complemented
30C47×#3108C211yesmaximal, characteristic, complemented
31C47×#2985C211yesmaximal, characteristic, complemented
32C47×#563—21no—
33C47×#563—21no—
34C47×#559C2211yescharacteristic
35C47×#559C2211yescharacteristic
36C47×#559C2211yescharacteristic
37C47×#559C2211yescharacteristic
38C47×#557C2211yescharacteristic
39C47×#557C2211yescharacteristic
40C47×#557C2211yescharacteristic
41C47×#557C2211yescharacteristic
42C47×#556—21no—
43C47×#556C2211yescharacteristic
44C47×#556C2211yescharacteristic
45C47×#556C2211yescharacteristic
46C47×#556C2211yescharacteristic
47C47×#556C2211yescharacteristic
48C47×#556C2211yescharacteristic
49C47×#554—21no—
50C47×#554C2211yescharacteristic
51C47×#554C2211yescharacteristic
52C47×#552—21no—
53C47×#552—21no—
54C47×#552—21no—
55C47×#552—21no—
56C47×#542—21no—
57C47×#542—21no—
58C47×#542C2211yescharacteristic
59C47×#542C2211yescharacteristic
60C47×#541C2211yescharacteristic
61C47×#540C2211yescharacteristic
62C47×#539—21no—
63C47×#539—21no—
64C47×#539—21no—
65C47×#539—21no—
66C47×#536C2211yescharacteristic
67C47×#536C2211yescharacteristic
68C47×#533C2211yescharacteristic
69C47×#532C2211yescharacteristic
70C47×#529—21no—
71C47×#529—21no—
72C47×#529C2211yescharacteristic
73C47×#529C2211yescharacteristic
74C47×#520C2211yescharacteristic
75C47×#520C2211yescharacteristic
76C2×C4×Q8×C47C2211yescharacteristic
77C47×#497C2211yescharacteristic
78C47×#497C2211yescharacteristic
79C47×#497C2211yescharacteristic
80C47×#497C2211yescharacteristic
81C47×#496C2211yescharacteristic
82C47×#496C2211yescharacteristic
83C47×#495C2211yescharacteristic
84C47×#495C2211yescharacteristic
85C47×#495C2211yescharacteristic
86C47×#495C2211yescharacteristic
87C47×#494C2211yescharacteristic
88C47×#492C2211yescharacteristic
89C47×#491C2211yescharacteristic
90C47×#491C2211yescharacteristic
91C47×#491C2211yescharacteristic
92C47×#490C2211yescharacteristic
93C47×#489C2211yescharacteristic
94C47×#489C2211yescharacteristic
95C47×#488C2211yescharacteristic
96C47×#488C2211yescharacteristic
97C47×#488C2211yescharacteristic
98C47×#488C2211yescharacteristic
99C47×#487C2211yescharacteristic
100C47×#487C2211yescharacteristic
101C47×#484C2211yescharacteristic
102C47×#483C2211yescharacteristic
103C47×#481C2211yescharacteristic
104C47×#480C2211yescharacteristic
105C47×#479C2211yescharacteristic
106C47×#479C2211yescharacteristic
107C47×#479C2211yescharacteristic
108C47×#479C2211yescharacteristic
109C47×#479C2211yescharacteristic
110C47×#479C2211yescharacteristic
111C47×#478C2211yescharacteristic
112C47×#478C2211yescharacteristic
113C47×#477C2211yescharacteristic
114C47×#476C2211yescharacteristic
115C47×#475C2211yescharacteristic
116C47×#474C2211yescharacteristic
117C47×#464C2211yescharacteristic
118C47×#464C2211yescharacteristic
119C47×#464C2211yescharacteristic
120C47×#464C2211yescharacteristic
121C47×#464C2211yescharacteristic
122C47×#464C2211yescharacteristic
123C47×#464C2211yescharacteristic
124C47×#464C2211yescharacteristic
125C47×#464C2211yescharacteristic
126C47×#464C2211yescharacteristic
127C47×#464C2211yescharacteristic
128C47×#464C2211yescharacteristic
129C47×#463C2211yescharacteristic
130C47×#463C2211yescharacteristic
131C47×#463C2211yescharacteristic
132C47×#463C2211yescharacteristic
133C47×#463C2211yescharacteristic
134C47×#463C2211yescharacteristic
135C47×#463C2211yescharacteristic
136C47×#463C2211yescharacteristic
137C47×#462C2211yescharacteristic
138C47×#462C2211yescharacteristic
139C47×#462C2211yescharacteristic
140C47×#462C2211yescharacteristic
141C47×#462C2211yescharacteristic
142C47×#462C2211yescharacteristic
143C47×#461C2211yescharacteristic
144C47×#461C2211yescharacteristic
145C47×#461C2211yescharacteristic
146C47×#461C2211yescharacteristic
147C47×#461C2211yescharacteristic
148C47×#461C2211yescharacteristic
149C47×#460C2211yescharacteristic
150C47×#460C2211yescharacteristic
151C47×#459C2211yescharacteristic
152C47×#459C2211yescharacteristic
153C47×#452C2211yescharacteristic
154C47×#452C2211yescharacteristic
155C47×#452C2211yescharacteristic
156C47×#452C2211yescharacteristic
157C47×#451C2211yescharacteristic
158C47×#451C2211yescharacteristic
159C47×#449C2211yescharacteristic
160C47×#449C2211yescharacteristic
161C47×#449C2211yescharacteristic
162C47×#449C2211yescharacteristic
163C47×#448C2211yescharacteristic
164C47×#448C2211yescharacteristic
165C47×#446C2211yescharacteristic
166C47×#446C2211yescharacteristic
167C47×#446C2211yescharacteristic
168C47×#446C2211yescharacteristic
169C47×#446C2211yescharacteristic
170C47×#446C2211yescharacteristic
171C8×Q8×C47C2211yescharacteristic
172C8×Q8×C47C2211yescharacteristic
173C47×#442C2211yescharacteristic
174C47×#442C2211yescharacteristic
175C47×#441C2211yescharacteristic
176C47×#441C2211yescharacteristic
177C47×#441C2211yescharacteristic
178C47×#441C2211yescharacteristic
179C47×#440C2211yescharacteristic
180C47×#440C2211yescharacteristic
181C47×#440C2211yescharacteristic
182C47×#440C2211yescharacteristic
183C47×#440C2211yescharacteristic
184C47×#440C2211yescharacteristic
185C4×Q16×C47C2211yescharacteristic
186C4×Q16×C47C2211yescharacteristic
187C4×Q16×C47C2211yescharacteristic
188C4×Q16×C47C2211yescharacteristic
189C4×SD16×C47C2211yescharacteristic
190C4×SD16×C47C2211yescharacteristic
191C4×SD16×C47C2211yescharacteristic
192C4×SD16×C47C2211yescharacteristic
193C4×SD16×C47C2211yescharacteristic
194C4×SD16×C47C2211yescharacteristic
195C4×D8×C47C2211yescharacteristic
196C4×D8×C47C2211yescharacteristic
197C47×#433C2211yescharacteristic
198C47×#433C2211yescharacteristic
199C47×#433C2211yescharacteristic
200C47×#433C2211yescharacteristic
201C47×#432C2211yescharacteristic
202C47×#431C2211yescharacteristic
203C2×#41×C47C2311yescharacteristic
204C2×#41×C47C2311yescharacteristic
205C22×Q8×C47C2311yescharacteristic
206C2×Q16×C47C2311yescharacteristic
207C2×Q16×C47C2311yescharacteristic
208C2×Q16×C47C2311yescharacteristic
209C2×Q16×C47C2311yescharacteristic
210C2×Q16×C47C2311yescharacteristic
211C2×Q16×C47C2311yescharacteristic
212C2×Q16×C47C2311yescharacteristic
213C2×Q16×C47C2311yescharacteristic
214C2×SD16×C47C2311yescharacteristic
215C2×SD16×C47C2311yescharacteristic
216C2×SD16×C47C2311yescharacteristic
217C2×SD16×C47C2311yescharacteristic
218C2×SD16×C47C2311yescharacteristic
219C2×SD16×C47C2311yescharacteristic
220C2×SD16×C47C2311yescharacteristic
221C2×SD16×C47C2311yescharacteristic
222C2×SD16×C47C2311yescharacteristic
223C2×SD16×C47C2311yescharacteristic
224C2×SD16×C47C2311yescharacteristic
225C2×SD16×C47C2311yescharacteristic
226C2×D8×C47C2311yescharacteristic
227C2×D8×C47C2311yescharacteristic
228C2×D8×C47C2311yescharacteristic
229C2×D8×C47C2311yescharacteristic
230C4⋊Q8×C47—21no—
231C4⋊Q8×C47—21no—
232C4⋊Q8×C47D411yescharacteristic
233C4⋊Q8×C47D411yescharacteristic
234C4⋊Q8×C47C2311yescharacteristic
235C4⋊Q8×C47C2311yescharacteristic
236C4⋊Q8×C47C2311yescharacteristic
237C4⋊Q8×C47C2311yescharacteristic
238C4⋊Q8×C47C2311yescharacteristic
239C4⋊Q8×C47C2311yescharacteristic
240C4⋊Q8×C47C2311yescharacteristic
241C4⋊Q8×C47C2311yescharacteristic
242#127×C47C2311yescharacteristic
243#127×C47C2311yescharacteristic
244#126×C47—21no—
245#126×C47—21no—
246#126×C47—21no—
247#126×C47—21no—
248#126×C47—21no—
249#126×C47—21no—
250#126×C47—21no—
251#126×C47—21no—
252#126×C47—21no—
253#126×C47—21no—
254#126×C47—21no—
255#126×C47—21no—
256#126×C47—21no—
257#126×C47—21no—
258#126×C47—21no—
259#126×C47—21no—
260#126×C47—21no—
261#126×C47—21no—
262#125×C47—21no—
263#125×C47—21no—
264#125×C47—21no—
265#125×C47—21no—
266#125×C47—21no—
267#125×C47—21no—
268#125×C47—21no—
269#125×C47—21no—
270#125×C47—21no—
271#125×C47—21no—
272#125×C47—21no—
273#125×C47—21no—
274#125×C47D411yescharacteristic
275#125×C47D411yescharacteristic
276#125×C47C2311yescharacteristic
277#125×C47C2311yescharacteristic
278#125×C47C2311yescharacteristic
279#125×C47C2311yescharacteristic
280#124×C47—21no—
281#124×C47—21no—
282#124×C47—21no—
283#124×C47—21no—
284#124×C47—21no—
285#124×C47—21no—
286#124×C47C2311yescharacteristic
287#124×C47C2311yescharacteristic
288#124×C47C2311yescharacteristic
289#124×C47C2311yescharacteristic
290#124×C47C2311yescharacteristic
291#124×C47C2311yescharacteristic
292#124×C47C2311yescharacteristic
293#124×C47C2311yescharacteristic
294#124×C47C2311yescharacteristic
295#124×C47C2311yescharacteristic
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×C47—21no—
313#123×C47—21no—
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×C47—21no—
325C22⋊Q8×C47—21no—
326C22⋊Q8×C47—21no—
327C22⋊Q8×C47—21no—
328C22⋊Q8×C47—21no—
329C22⋊Q8×C47—21no—
330C22⋊Q8×C47—21no—
331C22⋊Q8×C47—21no—
332C22⋊Q8×C47D411yescharacteristic
333C22⋊Q8×C47D411yescharacteristic
334C22⋊Q8×C47D411yescharacteristic
335C22⋊Q8×C47D411yescharacteristic
336C22⋊Q8×C47C2311yescharacteristic
337C22⋊Q8×C47C2311yescharacteristic
338#121×C47—21no—
339#121×C47—21no—
340#121×C47—21no—
341#121×C47—21no—
342#121×C47C2311yescharacteristic
343#121×C47C2311yescharacteristic
344C4×Q8×C47—21no—
345C4×Q8×C47—21no—
346C4×Q8×C47—21no—
347C4×Q8×C47—21no—
348C4×Q8×C47—21no—
349C4×Q8×C47—21no—
350C4×Q8×C47C2311yescharacteristic
351C4×Q8×C47C2311yescharacteristic
352C4×Q8×C47C2311yescharacteristic
353C4×Q8×C47C2311yescharacteristic
354C4×Q8×C47C2311yescharacteristic
355C4×Q8×C47C2311yescharacteristic
356C4×Q8×C47C2311yescharacteristic
357C4×Q8×C47C2311yescharacteristic
358C4×Q8×C47C2311yescharacteristic
359C4×Q8×C47C2311yescharacteristic
360C4×Q8×C47C2311yescharacteristic
361C4×Q8×C47C2311yescharacteristic
362C4×Q8×C47C2311yescharacteristic
363C4×Q8×C47C2311yescharacteristic
364C4×Q8×C47C2311yescharacteristic
365C4×Q8×C47C2311yescharacteristic
366C4×Q8×C47C2311yescharacteristic
367C4×Q8×C47C2311yescharacteristic
368C4×D4×C47—21no—
369C4×D4×C47—21no—
370C4×D4×C47—21no—
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×C47C2311yescharacteristic
381C4×D4×C47C2311yescharacteristic
382C4×D4×C47C2311yescharacteristic
383C4×D4×C47C2311yescharacteristic
384C4×D4×C47C2311yescharacteristic
385C4×D4×C47C2311yescharacteristic
386C4×D4×C47C2311yescharacteristic
387C4×D4×C47C2311yescharacteristic
388C4×D4×C47C2311yescharacteristic
389C4×D4×C47C2311yescharacteristic
390#117×C47—21no—
391#117×C47—21no—
392#117×C47—21no—
393#117×C47—21no—
394#117×C47—21no—
395#117×C47—21no—
396#117×C47—21no—
397#117×C47—21no—
398#117×C47—21no—
399#117×C47—21no—
400#117×C47C2311yescharacteristic
401#117×C47C2311yescharacteristic
402C2×C4⋊C4×C47—21no—
403C2×C4⋊C4×C47—21no—
404C2×C4⋊C4×C47—21no—
405C2×C4⋊C4×C47—21no—
406C2×C4⋊C4×C47—21no—
407C2×C4⋊C4×C47C2311yescharacteristic
408C2×C42×C47—21no—
409C2×C42×C47C2311yescharacteristic
410#107×C47C2311yescharacteristic
411#107×C47C2311yescharacteristic
412#107×C47C2311yescharacteristic
413#107×C47C2311yescharacteristic
414#106×C47C2311yescharacteristic
415#106×C47C2311yescharacteristic
416#106×C47C2311yescharacteristic
417#106×C47C2311yescharacteristic
418C4⋊C8×C47C2311yescharacteristic
419C4⋊C8×C47C2311yescharacteristic
420C4⋊C8×C47C2311yescharacteristic
421C4⋊C8×C47C2311yescharacteristic
422C4⋊C8×C47C2311yescharacteristic
423C4⋊C8×C47C2311yescharacteristic
424C4⋊C8×C47C2311yescharacteristic
425C4⋊C8×C47C2311yescharacteristic
426C4⋊C8×C47C2311yescharacteristic
427C4⋊C8×C47C2311yescharacteristic
428C4⋊C8×C47C2311yescharacteristic
429C4⋊C8×C47C2311yescharacteristic
430#103×C47C2311yescharacteristic
431#103×C47C2311yescharacteristic
432#103×C47C2311yescharacteristic
433#103×C47C2311yescharacteristic
434#103×C47C2311yescharacteristic
435#103×C47C2311yescharacteristic
436#103×C47C2311yescharacteristic
437#103×C47C2311yescharacteristic
438#103×C47C2311yescharacteristic
439#103×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#102×C47C2311yescharacteristic
451#102×C47C2311yescharacteristic
452#102×C47C2311yescharacteristic
453#102×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
462C22⋊C8×C47C2311yescharacteristic
463C22⋊C8×C47C2311yescharacteristic
464C22⋊C8×C47C2311yescharacteristic
465C22⋊C8×C47C2311yescharacteristic
466#97×C47C2311yescharacteristic
467#97×C47C2311yescharacteristic
468#97×C47C2311yescharacteristic
469#97×C47C2311yescharacteristic
470#97×C47C2311yescharacteristic
471#97×C47C2311yescharacteristic
472C4×C8×C47C2311yescharacteristic
473C4×C8×C47C2311yescharacteristic
474C4×C8×C47C2311yescharacteristic
475C4×C8×C47C2311yescharacteristic
476C4×C8×C47C2311yescharacteristic
477C4×C8×C47C2311yescharacteristic
478#41×C47—41no—
479#41×C47—41no—
480#41×C47—41no—
481#41×C47—41no—
482C2×Q8×C47—21no—
483C2×Q8×C47—21no—
484C2×Q8×C47—21no—
485C2×Q8×C47—41no—
486C2×Q8×C47—41no—
487C2×Q8×C47C2×D411yescharacteristic
488C2×Q8×C47C2×D411yescharacteristic
489C2×Q8×C47C2×D411yescharacteristic
490C2×Q8×C47C2×D411yescharacteristic
491C2×Q8×C47C2411yescharacteristic
492C2×Q8×C47C2411yescharacteristic
493C2×Q8×C47C2411yescharacteristic
494C2×Q8×C47C2411yescharacteristic
495C2×Q8×C47C2411yescharacteristic
496C2×Q8×C47C2411yescharacteristic
497C2×D4×C47—21no—
498C2×D4×C47—21no—
499C2×D4×C47—21no—
500C2×D4×C47—21no—
501C2×D4×C47—21no—
502C2×D4×C47—21no—
503C2×D4×C47—21no—
504C2×D4×C47—21no—
505C2×D4×C47C2411yescharacteristic
506C2×D4×C47C2411yescharacteristic
507C2×D4×C47C2411yescharacteristic
508C2×D4×C47C2411yescharacteristic
509C22×C4×C47—21no—
510C22×C4×C47—21no—
511C22×C4×C47—21no—
512C22×C4×C47—21no—
513C22×C4×C47—21no—
514C22×C4×C47—21no—
515C22×C4×C47—21no—
516C22×C4×C47—21no—
517C22×C4×C47—21no—
518C22×C4×C47—21no—
519C22×C4×C47—21no—
520C22×C4×C47—21no—
521C22×C4×C47—21no—
522C22×C4×C47—21no—
523C22×C4×C47C2×D411yescharacteristic
524C22×C4×C47C2×D411yescharacteristic
525C22×C4×C47C2411yescharacteristic
526Q16×C47—41no—
527Q16×C47—41no—
528Q16×C47—41no—
529Q16×C47—41no—
530Q16×C47—41no—
531Q16×C47—41no—
532Q16×C47—41no—
533Q16×C47—41no—
534SD16×C47—41no—
535SD16×C47—41no—
536SD16×C47—41no—
537SD16×C47—41no—
538SD16×C47—41no—
539SD16×C47—41no—
540SD16×C47—41no—
541SD16×C47—41no—
542SD16×C47—41no—
543SD16×C47—41no—
544SD16×C47—41no—
545SD16×C47—41no—
546D8×C47—41no—
547D8×C47—41no—
548D8×C47—41no—
549D8×C47—41no—
550C2×C8×C47C2411yescharacteristic
551C2×C8×C47C2411yescharacteristic
552C2×C8×C47C2411yescharacteristic
553C2×C8×C47C2411yescharacteristic
554C2×C8×C47C2411yescharacteristic
555C2×C8×C47C2411yescharacteristic
556C2×C8×C47C2411yescharacteristic
557C2×C8×C47C2411yescharacteristic
558C4⋊C4×C47—21no—
559C4⋊C4×C47—21no—
560C4⋊C4×C47—21no—
561C4⋊C4×C47—21no—
562C4⋊C4×C47—21no—
563C4⋊C4×C47—21no—
564C4⋊C4×C47—21no—
565C4⋊C4×C47—21no—
566C4⋊C4×C47—21no—
567C4⋊C4×C47—21no—
568C4⋊C4×C47—21no—
569C4⋊C4×C47—21no—
570C4⋊C4×C47—21no—
571C4⋊C4×C47—21no—
572C4⋊C4×C47—21no—
573C4⋊C4×C47—21no—
574C4⋊C4×C47—21no—
575C4⋊C4×C47—21no—
576C4⋊C4×C47—21no—
577C4⋊C4×C47—21no—
578C4⋊C4×C47—21no—
579C4⋊C4×C47—21no—
580C4⋊C4×C47—21no—
581C4⋊C4×C47—21no—
582C4⋊C4×C47—21no—
583C4⋊C4×C47—21no—
584C4⋊C4×C47—21no—
585C4⋊C4×C47—21no—
586C4⋊C4×C47—21no—
587C4⋊C4×C47—21no—
588C4⋊C4×C47—21no—
589C4⋊C4×C47—21no—
590C4⋊C4×C47—21no—
591C4⋊C4×C47—21no—
592C4⋊C4×C47—21no—
593C4⋊C4×C47—21no—
594C4⋊C4×C47—21no—
595C4⋊C4×C47—21no—
596C4⋊C4×C47—21no—
597C4⋊C4×C47C2×D411yescharacteristic
598C4⋊C4×C47C2×D411yescharacteristic
599C4⋊C4×C47C2×D411yescharacteristic
600C4⋊C4×C47C2×D411yescharacteristic
601C4⋊C4×C47C2×D411yescharacteristic
602C4⋊C4×C47C2×D411yescharacteristic
603C4⋊C4×C47C2×D411yescharacteristic
604C4⋊C4×C47C2×D411yescharacteristic
605C4⋊C4×C47C2×D411yescharacteristic
606C4⋊C4×C47C2×D411yescharacteristic
607C4⋊C4×C47C2×D411yescharacteristic
608C4⋊C4×C47C2×D411yescharacteristic
609C4⋊C4×C47C2×D411yescharacteristic
610C4⋊C4×C47C2×D411yescharacteristic
611C4⋊C4×C47C2×D411yescharacteristic
612C4⋊C4×C47C2×D411yescharacteristic
613C4⋊C4×C47C2411yescharacteristic
614C4⋊C4×C47C2411yescharacteristic
615C4⋊C4×C47C2411yescharacteristic
616C4⋊C4×C47C2411yescharacteristic
617C4⋊C4×C47C2411yescharacteristic
618C4⋊C4×C47C2411yescharacteristic
619C22⋊C4×C47—21no—
620C22⋊C4×C47—21no—
621C22⋊C4×C47—21no—
622C22⋊C4×C47—21no—
623C22⋊C4×C47—21no—
624C22⋊C4×C47—21no—
625C22⋊C4×C47—21no—
626C22⋊C4×C47—21no—
627C22⋊C4×C47—21no—
628C22⋊C4×C47—21no—
629C22⋊C4×C47—21no—
630C22⋊C4×C47—21no—
631C22⋊C4×C47—21no—
632C22⋊C4×C47—21no—
633C22⋊C4×C47—21no—
634C22⋊C4×C47—21no—
635C22⋊C4×C47—21no—
636C22⋊C4×C47—21no—
637C22⋊C4×C47—21no—
638C22⋊C4×C47—21no—
639C22⋊C4×C47—21no—
640C22⋊C4×C47—21no—
641C22⋊C4×C47—21no—
642C22⋊C4×C47—21no—
643C22⋊C4×C47—21no—
644C22⋊C4×C47—21no—
645C22⋊C4×C47—21no—
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×C47C2×D411yescharacteristic
654C22⋊C4×C47C2×D411yescharacteristic
655C22⋊C4×C47C2×D411yescharacteristic
656C22⋊C4×C47C2×D411yescharacteristic
657C42×C47—21no—
658C42×C47—21no—
659C42×C47—21no—
660C42×C47—21no—
661C42×C47—21no—
662C42×C47—21no—
663C42×C47—21no—
664C42×C47—21no—
665C42×C47—21no—
666C42×C47—21no—
667C42×C47—21no—
668C42×C47—21no—
669C42×C47—21no—
670C42×C47—21no—
671C42×C47C2×D411yescharacteristic
672C42×C47C2×D411yescharacteristic
673C42×C47C2411yescharacteristic
674C42×C47C2411yescharacteristic
675C42×C47C2411yescharacteristic
676C42×C47C2411yescharacteristic
677C42×C47C2411yescharacteristic
678C42×C47C2411yescharacteristic
679C23×C47—21no—
680C23×C47—21no—
681C23×C47—21no—
682C23×C47—21no—
683C23×C47C22×D411yescharacteristic
684Q8×C47—21no—
685Q8×C47—21no—
686Q8×C47—21no—
687Q8×C47—21no—
688Q8×C47—21no—
689Q8×C47—21no—
690Q8×C47—21no—
691Q8×C47—21no—
692Q8×C47—21no—
693Q8×C47—21no—
694Q8×C47—21no—
695Q8×C47—21no—
696Q8×C47—41no—
697Q8×C47—41no—
698Q8×C47—41no—
699Q8×C47—41no—
700Q8×C47—42no—
701Q8×C47—81no—
702Q8×C47—81no—
703D4×C47—21no—
704D4×C47—21no—
705D4×C47—21no—
706D4×C47—21no—
707D4×C47—21no—
708D4×C47—21no—
709D4×C47—21no—
710D4×C47—21no—
711D4×C47—42no—
712D4×C47—42no—
713D4×C47—42no—
714D4×C47—81no—
715D4×C47—81no—
716D4×C47—81no—
717D4×C47—81no—
718D4×C47—81no—
719C2×C4×C47—21no—
720C2×C4×C47—21no—
721C2×C4×C47—21no—
722C2×C4×C47—21no—
723C2×C4×C47—21no—
724C2×C4×C47—21no—
725C2×C4×C47—21no—
726C2×C4×C47—21no—
727C2×C4×C47—21no—
728C2×C4×C47—21no—
729C2×C4×C47—21no—
730C2×C4×C47—21no—
731C2×C4×C47—21no—
732C2×C4×C47—21no—
733C2×C4×C47—41no—
734C2×C4×C47—41no—
735C2×C4×C47—42no—
736C2×C4×C47—42no—
737C2×C4×C47—42no—
738C2×C4×C47—81no—
739C2×C4×C47—81no—
740C2×C4×C47—81no—
741C2×C4×C47—81no—
742C2×C4×C47—81no—
743C2×C4×C47—81no—
744C2×C4×C47—81no—
745C2×C4×C47—81no—
746C2×C4×C47—81no—
747C2×C4×C47—81no—
748C2×C4×C47—81no—
749C2×C4×C47C22×D411yescharacteristic
750C2×C4×C47C22×D411yescharacteristic
751C2×C4×C47C22×D411yescharacteristic
752C2×C4×C47C22×D411yescharacteristic
753C2×C4×C47C22×D411yescharacteristic
754C2×C4×C47C22×D411yescharacteristic
755C2×C4×C47C22×D411yescharacteristic
756C2×C4×C47C22×D411yescharacteristic
757C2×C4×C47C22×D411yescharacteristic
758C2×C4×C47C22×D411yescharacteristic
759C2×C4×C47C22×D411yescharacteristic
760C2×C4×C47C22×D411yescharacteristic
761C2×C4×C47C22×D411yescharacteristic
762C2×C4×C47C2511yescharacteristic
763C8×C47—21no—
764C8×C47—21no—
765C8×C47—21no—
766C8×C47—21no—
767C8×C47—21no—
768C8×C47—21no—
769C8×C47—21no—
770C8×C47—21no—
771#61918C4711yesmaximal, characteristic, direct product factor, Sylow
772C22×C47—21no—
773C22×C47—21no—
774C22×C47—21no—
775C22×C47—41no—
776C22×C47—41no—
777C22×C47—41no—
778C22×C47—41no—
779C22×C47—41no—
780C22×C47—41no—
781C22×C47—41no—
782C22×C47—41no—
783C22×C47—41no—
784C22×C47—41no—
785C22×C47—41no—
786C22×C47—41no—
787C22×C47C23×D411yescharacteristic
788C4×C47—21no—
789C4×C47—21no—
790C4×C47—21no—
791C4×C47—21no—
792C4×C47—21no—
793C4×C47—21no—
794C4×C47—21no—
795C4×C47—21no—
796C4×C47—21no—
797C4×C47—21no—
798C4×C47—21no—
799C4×C47—21no—
800C4×C47—21no—
801C4×C47—41no—
802C4×C47—41no—
803C4×C47—41no—
804C4×C47—41no—
805C4×C47—41no—
806C4×C47—41no—
807C4×C47—41no—
808C4×C47—41no—
809C4×C47—41no—
810C4×C47—41no—
811C4×C47—41no—
812C4×C47—41no—
813C4×C47#58511yescharacteristic
814C4×C47#58511yescharacteristic
815#3557C2×C4711yescharacteristic, complemented
816#3507C2×C4711yescharacteristic, complemented
817#3403C2×C4711yescharacteristic, complemented
818#3402C2×C4711yescharacteristic, complemented
819#3401C2×C4711yescharacteristic, complemented
820#3401C2×C4711yescharacteristic, complemented
821#3400C2×C4711yescharacteristic, complemented
822#3398C2×C4711yescharacteristic, complemented
823#3394C2×C4711yescharacteristic, complemented
824#3393C2×C4711yescharacteristic, complemented
825#3377C2×C4711yescharacteristic, complemented
826#3376C2×C4711yescharacteristic, complemented
827#3374C2×C4711yescharacteristic, complemented
828#3372C2×C4711yescharacteristic, complemented
829#3371C2×C4711yescharacteristic, complemented
830#3370C2×C4711yescharacteristic, complemented
831#3364C2×C4711yescharacteristic, complemented
832#3360C2×C4711yescharacteristic, complemented
833#3225C2×C4711yescharacteristic, complemented
834#3225C2×C4711yescharacteristic, complemented
835#3223C2×C4711yescharacteristic, complemented
836#3221C2×C4711yescharacteristic, complemented
837#3219C2×C4711yescharacteristic, complemented
838#3212C2×C4711yescharacteristic, complemented
839#3125C2×C4711yescharacteristic, complemented
840#3124C2×C4711yescharacteristic, complemented
841#3120C2×C4711yescharacteristic, complemented
842#3119C2×C4711yescharacteristic, complemented
843#3117C2×C4711yescharacteristic, complemented
844#3108C2×C4711yescharacteristic, complemented
845#2985C2×C4711yescharacteristic, complemented
846C2×C47—41no—
847C2×C47—81no—
848C2×C47—81no—
849C2×C47—81no—
850C2×C47—81no—
851C2×C47#348711yescharacteristic
852C2×C47#358411yescharacteristic
853C2×C47#358611yescharacteristic
854#563—21no—
855#563—21no—
856#559C22×C4711yescharacteristic
857#559C22×C4711yescharacteristic
858#559C22×C4711yescharacteristic
859#559C22×C4711yescharacteristic
860#557C22×C4711yescharacteristic
861#557C22×C4711yescharacteristic
862#557C22×C4711yescharacteristic
863#557C22×C4711yescharacteristic
864#556—21no—
865#556C22×C4711yescharacteristic
866#556C22×C4711yescharacteristic
867#556C22×C4711yescharacteristic
868#556C22×C4711yescharacteristic
869#556C22×C4711yescharacteristic
870#556C22×C4711yescharacteristic
871#554—21no—
872#554C22×C4711yescharacteristic
873#554C22×C4711yescharacteristic
874#552—21no—
875#552—21no—
876#552—21no—
877#552—21no—
878#542—21no—
879#542—21no—
880#542C22×C4711yescharacteristic
881#542C22×C4711yescharacteristic
882#541C22×C4711yescharacteristic
883#540C22×C4711yescharacteristic
884#539—21no—
885#539—21no—
886#539—21no—
887#539—21no—
888#536C22×C4711yescharacteristic
889#536C22×C4711yescharacteristic
890#533C22×C4711yescharacteristic
891#532C22×C4711yescharacteristic
892#529—21no—
893#529—21no—
894#529C22×C4711yescharacteristic
895#529C22×C4711yescharacteristic
896#520C22×C4711yescharacteristic
897#520C22×C4711yescharacteristic
898C2×C4×Q8C22×C4711yescharacteristic
899#497C22×C4711yescharacteristic
900#497C22×C4711yescharacteristic
901#497C22×C4711yescharacteristic
902#497C22×C4711yescharacteristic
903#496C22×C4711yescharacteristic
904#496C22×C4711yescharacteristic
905#495C22×C4711yescharacteristic
906#495C22×C4711yescharacteristic
907#495C22×C4711yescharacteristic
908#495C22×C4711yescharacteristic
909#494C22×C4711yescharacteristic
910#492C22×C4711yescharacteristic
911#491C22×C4711yescharacteristic
912#491C22×C4711yescharacteristic
913#491C22×C4711yescharacteristic
914#490C22×C4711yescharacteristic
915#489C22×C4711yescharacteristic
916#489C22×C4711yescharacteristic
917#488C22×C4711yescharacteristic
918#488C22×C4711yescharacteristic
919#488C22×C4711yescharacteristic
920#488C22×C4711yescharacteristic
921#487C22×C4711yescharacteristic
922#487C22×C4711yescharacteristic
923#484C22×C4711yescharacteristic
924#483C22×C4711yescharacteristic
925#481C22×C4711yescharacteristic
926#480C22×C4711yescharacteristic
927#479C22×C4711yescharacteristic
928#479C22×C4711yescharacteristic
929#479C22×C4711yescharacteristic
930#479C22×C4711yescharacteristic
931#479C22×C4711yescharacteristic
932#479C22×C4711yescharacteristic
933#478C22×C4711yescharacteristic
934#478C22×C4711yescharacteristic
935#477C22×C4711yescharacteristic
936#476C22×C4711yescharacteristic
937#475C22×C4711yescharacteristic
938#474C22×C4711yescharacteristic
939#464C22×C4711yescharacteristic
940#464C22×C4711yescharacteristic
941#464C22×C4711yescharacteristic
942#464C22×C4711yescharacteristic
943#464C22×C4711yescharacteristic
944#464C22×C4711yescharacteristic
945#464C22×C4711yescharacteristic
946#464C22×C4711yescharacteristic
947#464C22×C4711yescharacteristic
948#464C22×C4711yescharacteristic
949#464C22×C4711yescharacteristic
950#464C22×C4711yescharacteristic
951#463C22×C4711yescharacteristic
952#463C22×C4711yescharacteristic
953#463C22×C4711yescharacteristic
954#463C22×C4711yescharacteristic
955#463C22×C4711yescharacteristic
956#463C22×C4711yescharacteristic
957#463C22×C4711yescharacteristic
958#463C22×C4711yescharacteristic
959#462C22×C4711yescharacteristic
960#462C22×C4711yescharacteristic
961#462C22×C4711yescharacteristic
962#462C22×C4711yescharacteristic
963#462C22×C4711yescharacteristic
964#462C22×C4711yescharacteristic
965#461C22×C4711yescharacteristic
966#461C22×C4711yescharacteristic
967#461C22×C4711yescharacteristic
968#461C22×C4711yescharacteristic
969#461C22×C4711yescharacteristic
970#461C22×C4711yescharacteristic
971#460C22×C4711yescharacteristic
972#460C22×C4711yescharacteristic
973#459C22×C4711yescharacteristic
974#459C22×C4711yescharacteristic
975#452C22×C4711yescharacteristic
976#452C22×C4711yescharacteristic
977#452C22×C4711yescharacteristic
978#452C22×C4711yescharacteristic
979#451C22×C4711yescharacteristic
980#451C22×C4711yescharacteristic
981#449C22×C4711yescharacteristic
982#449C22×C4711yescharacteristic
983#449C22×C4711yescharacteristic
984#449C22×C4711yescharacteristic
985#448C22×C4711yescharacteristic
986#448C22×C4711yescharacteristic
987#446C22×C4711yescharacteristic
988#446C22×C4711yescharacteristic
989#446C22×C4711yescharacteristic
990#446C22×C4711yescharacteristic
991#446C22×C4711yescharacteristic
992#446C22×C4711yescharacteristic
993C8×Q8C22×C4711yescharacteristic
994C8×Q8C22×C4711yescharacteristic
995#442C22×C4711yescharacteristic
996#442C22×C4711yescharacteristic
997#441C22×C4711yescharacteristic
998#441C22×C4711yescharacteristic
999#441C22×C4711yescharacteristic
1000#441C22×C4711yescharacteristic
1001#440C22×C4711yescharacteristic
1002#440C22×C4711yescharacteristic
1003#440C22×C4711yescharacteristic
1004#440C22×C4711yescharacteristic
1005#440C22×C4711yescharacteristic
1006#440C22×C4711yescharacteristic
1007C4×Q16C22×C4711yescharacteristic
1008C4×Q16C22×C4711yescharacteristic
1009C4×Q16C22×C4711yescharacteristic
1010C4×Q16C22×C4711yescharacteristic
1011C4×SD16C22×C4711yescharacteristic
1012C4×SD16C22×C4711yescharacteristic
1013C4×SD16C22×C4711yescharacteristic
1014C4×SD16C22×C4711yescharacteristic
1015C4×SD16C22×C4711yescharacteristic
1016C4×SD16C22×C4711yescharacteristic
1017C4×D8C22×C4711yescharacteristic
1018C4×D8C22×C4711yescharacteristic
1019#433C22×C4711yescharacteristic
1020#433C22×C4711yescharacteristic
1021#433C22×C4711yescharacteristic
1022#433C22×C4711yescharacteristic
1023#432C22×C4711yescharacteristic
1024#431C22×C4711yescharacteristic
1025C47#6191811yescharacteristic, direct product factor, Sylow
1026C2×#41C23×C4711yescharacteristic
1027C2×#41C23×C4711yescharacteristic
1028C22×Q8C23×C4711yescharacteristic
1029C2×Q16C23×C4711yescharacteristic
1030C2×Q16C23×C4711yescharacteristic
1031C2×Q16C23×C4711yescharacteristic
1032C2×Q16C23×C4711yescharacteristic
1033C2×Q16C23×C4711yescharacteristic
1034C2×Q16C23×C4711yescharacteristic
1035C2×Q16C23×C4711yescharacteristic
1036C2×Q16C23×C4711yescharacteristic
1037C2×SD16C23×C4711yescharacteristic
1038C2×SD16C23×C4711yescharacteristic
1039C2×SD16C23×C4711yescharacteristic
1040C2×SD16C23×C4711yescharacteristic
1041C2×SD16C23×C4711yescharacteristic
1042C2×SD16C23×C4711yescharacteristic
1043C2×SD16C23×C4711yescharacteristic
1044C2×SD16C23×C4711yescharacteristic
1045C2×SD16C23×C4711yescharacteristic
1046C2×SD16C23×C4711yescharacteristic
1047C2×SD16C23×C4711yescharacteristic
1048C2×SD16C23×C4711yescharacteristic
1049C2×D8C23×C4711yescharacteristic
1050C2×D8C23×C4711yescharacteristic
1051C2×D8C23×C4711yescharacteristic
1052C2×D8C23×C4711yescharacteristic
1053C4⋊Q8—21no—
1054C4⋊Q8—21no—
1055C4⋊Q8D4×C4711yescharacteristic
1056C4⋊Q8D4×C4711yescharacteristic
1057C4⋊Q8C23×C4711yescharacteristic
1058C4⋊Q8C23×C4711yescharacteristic
1059C4⋊Q8C23×C4711yescharacteristic
1060C4⋊Q8C23×C4711yescharacteristic
1061C4⋊Q8C23×C4711yescharacteristic
1062C4⋊Q8C23×C4711yescharacteristic
1063C4⋊Q8C23×C4711yescharacteristic
1064C4⋊Q8C23×C4711yescharacteristic
1065#127C23×C4711yescharacteristic
1066#127C23×C4711yescharacteristic
1067#126—21no—
1068#126—21no—
1069#126—21no—
1070#126—21no—
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—21no—
1077#126—21no—
1078#126—21no—
1079#126—21no—
1080#126—21no—
1081#126—21no—
1082#126—21no—
1083#126—21no—
1084#126—21no—
1085#125—21no—
1086#125—21no—
1087#125—21no—
1088#125—21no—
1089#125—21no—
1090#125—21no—
1091#125—21no—
1092#125—21no—
1093#125—21no—
1094#125—21no—
1095#125—21no—
1096#125—21no—
1097#125D4×C4711yescharacteristic
1098#125D4×C4711yescharacteristic
1099#125C23×C4711yescharacteristic
1100#125C23×C4711yescharacteristic
1101#125C23×C4711yescharacteristic
1102#125C23×C4711yescharacteristic
1103#124—21no—
1104#124—21no—
1105#124—21no—
1106#124—21no—
1107#124—21no—
1108#124—21no—
1109#124C23×C4711yescharacteristic
1110#124C23×C4711yescharacteristic
1111#124C23×C4711yescharacteristic
1112#124C23×C4711yescharacteristic
1113#124C23×C4711yescharacteristic
1114#124C23×C4711yescharacteristic
1115#124C23×C4711yescharacteristic
1116#124C23×C4711yescharacteristic
1117#124C23×C4711yescharacteristic
1118#124C23×C4711yescharacteristic
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8D4×C4711yescharacteristic
1156C22⋊Q8D4×C4711yescharacteristic
1157C22⋊Q8D4×C4711yescharacteristic
1158C22⋊Q8D4×C4711yescharacteristic
1159C22⋊Q8C23×C4711yescharacteristic
1160C22⋊Q8C23×C4711yescharacteristic
1161#121—21no—
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121C23×C4711yescharacteristic
1166#121C23×C4711yescharacteristic
1167C4×Q8—21no—
1168C4×Q8—21no—
1169C4×Q8—21no—
1170C4×Q8—21no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8C23×C4711yescharacteristic
1174C4×Q8C23×C4711yescharacteristic
1175C4×Q8C23×C4711yescharacteristic
1176C4×Q8C23×C4711yescharacteristic
1177C4×Q8C23×C4711yescharacteristic
1178C4×Q8C23×C4711yescharacteristic
1179C4×Q8C23×C4711yescharacteristic
1180C4×Q8C23×C4711yescharacteristic
1181C4×Q8C23×C4711yescharacteristic
1182C4×Q8C23×C4711yescharacteristic
1183C4×Q8C23×C4711yescharacteristic
1184C4×Q8C23×C4711yescharacteristic
1185C4×Q8C23×C4711yescharacteristic
1186C4×Q8C23×C4711yescharacteristic
1187C4×Q8C23×C4711yescharacteristic
1188C4×Q8C23×C4711yescharacteristic
1189C4×Q8C23×C4711yescharacteristic
1190C4×Q8C23×C4711yescharacteristic
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4C23×C4711yescharacteristic
1204C4×D4C23×C4711yescharacteristic
1205C4×D4C23×C4711yescharacteristic
1206C4×D4C23×C4711yescharacteristic
1207C4×D4C23×C4711yescharacteristic
1208C4×D4C23×C4711yescharacteristic
1209C4×D4C23×C4711yescharacteristic
1210C4×D4C23×C4711yescharacteristic
1211C4×D4C23×C4711yescharacteristic
1212C4×D4C23×C4711yescharacteristic
1213#117—21no—
1214#117—21no—
1215#117—21no—
1216#117—21no—
1217#117—21no—
1218#117—21no—
1219#117—21no—
1220#117—21no—
1221#117—21no—
1222#117—21no—
1223#117C23×C4711yescharacteristic
1224#117C23×C4711yescharacteristic
1225C2×C4⋊C4—21no—
1226C2×C4⋊C4—21no—
1227C2×C4⋊C4—21no—
1228C2×C4⋊C4—21no—
1229C2×C4⋊C4—21no—
1230C2×C4⋊C4C23×C4711yescharacteristic
1231C2×C42—21no—
1232C2×C42C23×C4711yescharacteristic
1233#107C23×C4711yescharacteristic
1234#107C23×C4711yescharacteristic
1235#107C23×C4711yescharacteristic
1236#107C23×C4711yescharacteristic
1237#106C23×C4711yescharacteristic
1238#106C23×C4711yescharacteristic
1239#106C23×C4711yescharacteristic
1240#106C23×C4711yescharacteristic
1241C4⋊C8C23×C4711yescharacteristic
1242C4⋊C8C23×C4711yescharacteristic
1243C4⋊C8C23×C4711yescharacteristic
1244C4⋊C8C23×C4711yescharacteristic
1245C4⋊C8C23×C4711yescharacteristic
1246C4⋊C8C23×C4711yescharacteristic
1247C4⋊C8C23×C4711yescharacteristic
1248C4⋊C8C23×C4711yescharacteristic
1249C4⋊C8C23×C4711yescharacteristic
1250C4⋊C8C23×C4711yescharacteristic
1251C4⋊C8C23×C4711yescharacteristic
1252C4⋊C8C23×C4711yescharacteristic
1253#103C23×C4711yescharacteristic
1254#103C23×C4711yescharacteristic
1255#103C23×C4711yescharacteristic
1256#103C23×C4711yescharacteristic
1257#103C23×C4711yescharacteristic
1258#103C23×C4711yescharacteristic
1259#103C23×C4711yescharacteristic
1260#103C23×C4711yescharacteristic
1261#103C23×C4711yescharacteristic
1262#103C23×C4711yescharacteristic
1263#103C23×C4711yescharacteristic
1264#103C23×C4711yescharacteristic
1265#103C23×C4711yescharacteristic
1266#103C23×C4711yescharacteristic
1267#103C23×C4711yescharacteristic
1268#103C23×C4711yescharacteristic
1269#103C23×C4711yescharacteristic
1270#103C23×C4711yescharacteristic
1271#103C23×C4711yescharacteristic
1272#103C23×C4711yescharacteristic
1273#102C23×C4711yescharacteristic
1274#102C23×C4711yescharacteristic
1275#102C23×C4711yescharacteristic
1276#102C23×C4711yescharacteristic
1277#102C23×C4711yescharacteristic
1278#102C23×C4711yescharacteristic
1279#102C23×C4711yescharacteristic
1280#102C23×C4711yescharacteristic
1281#102C23×C4711yescharacteristic
1282#102C23×C4711yescharacteristic
1283#102C23×C4711yescharacteristic
1284#102C23×C4711yescharacteristic
1285C22⋊C8C23×C4711yescharacteristic
1286C22⋊C8C23×C4711yescharacteristic
1287C22⋊C8C23×C4711yescharacteristic
1288C22⋊C8C23×C4711yescharacteristic
1289#97C23×C4711yescharacteristic
1290#97C23×C4711yescharacteristic
1291#97C23×C4711yescharacteristic
1292#97C23×C4711yescharacteristic
1293#97C23×C4711yescharacteristic
1294#97C23×C4711yescharacteristic
1295C4×C8C23×C4711yescharacteristic
1296C4×C8C23×C4711yescharacteristic
1297C4×C8C23×C4711yescharacteristic
1298C4×C8C23×C4711yescharacteristic
1299C4×C8C23×C4711yescharacteristic
1300C4×C8C23×C4711yescharacteristic
1301#41—41no—
1302#41—41no—
1303#41—41no—
1304#41—41no—
1305C2×Q8—21no—
1306C2×Q8—21no—
1307C2×Q8—21no—
1308C2×Q8—41no—
1309C2×Q8—41no—
1310C2×Q8C2×D4×C4711yescharacteristic
1311C2×Q8C2×D4×C4711yescharacteristic
1312C2×Q8C2×D4×C4711yescharacteristic
1313C2×Q8C2×D4×C4711yescharacteristic
1314C2×Q8C24×C4711yescharacteristic
1315C2×Q8C24×C4711yescharacteristic
1316C2×Q8C24×C4711yescharacteristic
1317C2×Q8C24×C4711yescharacteristic
1318C2×Q8C24×C4711yescharacteristic
1319C2×Q8C24×C4711yescharacteristic
1320C2×D4—21no—
1321C2×D4—21no—
1322C2×D4—21no—
1323C2×D4—21no—
1324C2×D4—21no—
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4C24×C4711yescharacteristic
1329C2×D4C24×C4711yescharacteristic
1330C2×D4C24×C4711yescharacteristic
1331C2×D4C24×C4711yescharacteristic
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4C2×D4×C4711yescharacteristic
1347C22×C4C2×D4×C4711yescharacteristic
1348C22×C4C24×C4711yescharacteristic
1349Q16—41no—
1350Q16—41no—
1351Q16—41no—
1352Q16—41no—
1353Q16—41no—
1354Q16—41no—
1355Q16—41no—
1356Q16—41no—
1357SD16—41no—
1358SD16—41no—
1359SD16—41no—
1360SD16—41no—
1361SD16—41no—
1362SD16—41no—
1363SD16—41no—
1364SD16—41no—
1365SD16—41no—
1366SD16—41no—
1367SD16—41no—
1368SD16—41no—
1369D8—41no—
1370D8—41no—
1371D8—41no—
1372D8—41no—
1373C2×C8C24×C4711yescharacteristic
1374C2×C8C24×C4711yescharacteristic
1375C2×C8C24×C4711yescharacteristic
1376C2×C8C24×C4711yescharacteristic
1377C2×C8C24×C4711yescharacteristic
1378C2×C8C24×C4711yescharacteristic
1379C2×C8C24×C4711yescharacteristic
1380C2×C8C24×C4711yescharacteristic
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4C2×D4×C4711yescharacteristic
1421C4⋊C4C2×D4×C4711yescharacteristic
1422C4⋊C4C2×D4×C4711yescharacteristic
1423C4⋊C4C2×D4×C4711yescharacteristic
1424C4⋊C4C2×D4×C4711yescharacteristic
1425C4⋊C4C2×D4×C4711yescharacteristic
1426C4⋊C4C2×D4×C4711yescharacteristic
1427C4⋊C4C2×D4×C4711yescharacteristic
1428C4⋊C4C2×D4×C4711yescharacteristic
1429C4⋊C4C2×D4×C4711yescharacteristic
1430C4⋊C4C2×D4×C4711yescharacteristic
1431C4⋊C4C2×D4×C4711yescharacteristic
1432C4⋊C4C2×D4×C4711yescharacteristic
1433C4⋊C4C2×D4×C4711yescharacteristic
1434C4⋊C4C2×D4×C4711yescharacteristic
1435C4⋊C4C2×D4×C4711yescharacteristic
1436C4⋊C4C24×C4711yescharacteristic
1437C4⋊C4C24×C4711yescharacteristic
1438C4⋊C4C24×C4711yescharacteristic
1439C4⋊C4C24×C4711yescharacteristic
1440C4⋊C4C24×C4711yescharacteristic
1441C4⋊C4C24×C4711yescharacteristic
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—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4C2×D4×C4711yescharacteristic
1477C22⋊C4C2×D4×C4711yescharacteristic
1478C22⋊C4C2×D4×C4711yescharacteristic
1479C22⋊C4C2×D4×C4711yescharacteristic
1480C42—21no—
1481C42—21no—
1482C42—21no—
1483C42—21no—
1484C42—21no—
1485C42—21no—
1486C42—21no—
1487C42—21no—
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42C2×D4×C4711yescharacteristic
1495C42C2×D4×C4711yescharacteristic
1496C42C24×C4711yescharacteristic
1497C42C24×C4711yescharacteristic
1498C42C24×C4711yescharacteristic
1499C42C24×C4711yescharacteristic
1500C42C24×C4711yescharacteristic
1501C42C24×C4711yescharacteristic
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23C22×D4×C4711yescharacteristic
1507Q8—21no—
1508Q8—21no—
1509Q8—21no—
1510Q8—21no—
1511Q8—21no—
1512Q8—21no—
1513Q8—21no—
1514Q8—21no—
1515Q8—21no—
1516Q8—21no—
1517Q8—21no—
1518Q8—21no—
1519Q8—41no—
1520Q8—41no—
1521Q8—41no—
1522Q8—41no—
1523Q8—42no—
1524Q8—81no—
1525Q8—81no—
1526D4—21no—
1527D4—21no—
1528D4—21no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—42no—
1535D4—42no—
1536D4—42no—
1537D4—81no—
1538D4—81no—
1539D4—81no—
1540D4—81no—
1541D4—81no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—42no—
1559C2×C4—42no—
1560C2×C4—42no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—81no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4C22×D4×C4711yescharacteristic
1573C2×C4C22×D4×C4711yescharacteristic
1574C2×C4C22×D4×C4711yescharacteristic
1575C2×C4C22×D4×C4711yescharacteristic
1576C2×C4C22×D4×C4711yescharacteristic
1577C2×C4C22×D4×C4711yescharacteristic
1578C2×C4C22×D4×C4711yescharacteristic
1579C2×C4C22×D4×C4711yescharacteristic
1580C2×C4C22×D4×C4711yescharacteristic
1581C2×C4C22×D4×C4711yescharacteristic
1582C2×C4C22×D4×C4711yescharacteristic
1583C2×C4C22×D4×C4711yescharacteristic
1584C2×C4C22×D4×C4711yescharacteristic
1585C2×C4C25×C4711yescharacteristic
1586C8—21no—
1587C8—21no—
1588C8—21no—
1589C8—21no—
1590C8—21no—
1591C8—21no—
1592C8—21no—
1593C8—21no—
1594C22—21no—
1595C22—21no—
1596C22—21no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22C23×D4×C4711yescharacteristic
1610C4—21no—
1611C4—21no—
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—21no—
1619C4—21no—
1620C4—21no—
1621C4—21no—
1622C4—21no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4C47×#58511yescharacteristic
1636C4C47×#58511yescharacteristic
1637C2—41no—
1638C2—81no—
1639C2—81no—
1640C2—81no—
1641C2—81no—
1642C2C47×#348711yescharacteristic
1643C2C47×#358411yescharacteristic
1644C2C47×#358611yescharacteristic
subgroupG/H
center, socleC22×C47C23×D4
commutator, Frattini, cosocleC2×C4C25×C47
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C47 ◁ C47×#533 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#3557C2semidirect
2. C47×#3507C2semidirect
3. C47×#3403C2semidirect
4. C47×#3402C2semidirect
5. C47×#3401C2semidirect
6. C47×#3401C2semidirect
7. C47×#3400C2semidirect
8. C47×#3398C2semidirect
9. C47×#3394C2semidirect
10. C47×#3393C2semidirect
11. C47×#3377C2semidirect
12. C47×#3376C2semidirect
13. C47×#3374C2semidirect
14. C47×#3372C2semidirect
15. C47×#3371C2semidirect
16. C47×#3370C2semidirect
17. C47×#3364C2semidirect
18. C47×#3360C2semidirect
19. C47×#3225C2semidirect
20. C47×#3225C2semidirect
21. C47×#3223C2semidirect
22. C47×#3221C2semidirect
23. C47×#3219C2semidirect
24. C47×#3212C2semidirect
25. C47×#3125C2semidirect
26. C47×#3124C2semidirect
27. C47×#3120C2semidirect
28. C47×#3119C2semidirect
29. C47×#3117C2semidirect
30. C47×#3108C2semidirect
31. C47×#2985C2semidirect
771. #61918C47direct (N × H)
815. #3557C2×C47semidirect
816. #3507C2×C47semidirect
817. #3403C2×C47semidirect
818. #3402C2×C47semidirect
819. #3401C2×C47semidirect
820. #3401C2×C47semidirect
821. #3400C2×C47semidirect
822. #3398C2×C47semidirect
823. #3394C2×C47semidirect
824. #3393C2×C47semidirect
825. #3377C2×C47semidirect
826. #3376C2×C47semidirect
827. #3374C2×C47semidirect
828. #3372C2×C47semidirect
829. #3371C2×C47semidirect
830. #3370C2×C47semidirect
831. #3364C2×C47semidirect
832. #3360C2×C47semidirect
833. #3225C2×C47semidirect
834. #3225C2×C47semidirect
835. #3223C2×C47semidirect
836. #3221C2×C47semidirect
837. #3219C2×C47semidirect
838. #3212C2×C47semidirect
839. #3125C2×C47semidirect
840. #3124C2×C47semidirect
841. #3120C2×C47semidirect
842. #3119C2×C47semidirect
843. #3117C2×C47semidirect
844. #3108C2×C47semidirect
845. #2985C2×C47semidirect
1025. C47#61918direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#35572
C47×#35072
C47×#34032
C47×#34022
C47×#34012
C47×#34002
C47×#33982
C47×#33942
C47×#33932
C47×#33772
C47×#33762
C47×#33742
C47×#33722
C47×#33712
C47×#33702
C47×#33642
C47×#33602
C47×#32252
C47×#32232
C47×#32212
C47×#32192
C47×#32122
C47×#31252
C47×#31242
C47×#31202
C47×#31192
C47×#31172
C47×#31082
C47×#29852
#6191847