Finite Group Databasebeta

← #27106926

Subgroups — #27106926

Order 12032.

1614 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257876C211yesmaximal, characteristic, complemented
2#20256351C211yesmaximal, characteristic, complemented
3#20256342C211yesmaximal, characteristic, complemented
4#20256333C211yesmaximal, characteristic, complemented
5#20256327C211yesmaximal, characteristic, complemented
6#20256320C211yesmaximal, characteristic, complemented
7#20256298C211yesmaximal, characteristic, complemented
8#20256275C211yesmaximal, characteristic, complemented
9#20256263C211yesmaximal, characteristic, complemented
10#20256230C211yesmaximal, characteristic, complemented
11#20256230C211yesmaximal, characteristic, complemented
12#20256215C211yesmaximal, characteristic, complemented
13#20256215C211yesmaximal, characteristic, complemented
14#20256191C211yesmaximal, characteristic, complemented
15#20256169C211yesmaximal, characteristic, complemented
16#20256073C211yesmaximal, characteristic, complemented
17#20256037C211yesmaximal, characteristic, complemented
18#20254686C211yesmaximal, characteristic, complemented
19#20254671C211yesmaximal, characteristic, complemented
20#20254656C211yesmaximal, characteristic, complemented
21#20254656C211yesmaximal, characteristic, complemented
22#20254594C211yesmaximal, characteristic, complemented
23#20254556C211yesmaximal, characteristic, complemented
24#20253665C211yesmaximal, characteristic
25#20253650C211yesmaximal, characteristic
26#20253602C211yesmaximal, characteristic, complemented
27#20253602C211yesmaximal, characteristic, complemented
28#20253497C211yesmaximal, characteristic
29#20253459C211yesmaximal, characteristic, complemented
30#20252483C211yesmaximal, characteristic, complemented
31C47×#3504C211yesmaximal, characteristic, complemented
32#15689874—21no—
33#15689874—21no—
34Q8×Dic94C2211yescharacteristic
35#15689852C2211yescharacteristic
36#15689851C2211yescharacteristic
37#15689851C2211yescharacteristic
38#15689846C2211yescharacteristic
39#15689846C2211yescharacteristic
40#15689846C2211yescharacteristic
41#15689844—21no—
42#15689833C2211yescharacteristic
43#15689807—21no—
44#15689750—21no—
45#15689744C2211yescharacteristic
46#15689744C2211yescharacteristic
47#15689735C2211yescharacteristic
48#15689735C2211yescharacteristic
49#15689734—21no—
50#15689732—21no—
51#15689732—21no—
52#15689680C2211yescharacteristic
53#15689657C2211yescharacteristic
54#15689533C2211yescharacteristic
55#15689533C2211yescharacteristic
56#15689533C2211yescharacteristic
57#15689533C2211yescharacteristic
58#15689529C2211yescharacteristic
59#15689529C2211yescharacteristic
60#15689526C2211yescharacteristic
61#15689522C2211yescharacteristic
62#15689522C2211yescharacteristic
63#15689522C2211yescharacteristic
64#15689522C2211yescharacteristic
65#15689519C2211yescharacteristic
66#15689493C2211yescharacteristic
67#15689493C2211yescharacteristic
68#15689493C2211yescharacteristic
69#15689493C2211yescharacteristic
70#15689485C2211yescharacteristic
71#15689485C2211yescharacteristic
72#15689480C2211yescharacteristic
73#15689480C2211yescharacteristic
74#15689480C2211yescharacteristic
75#15689480C2211yescharacteristic
76#15689475C2211yescharacteristic
77#15689475C2211yescharacteristic
78#15689464C2211yescharacteristic
79#15689464C2211yescharacteristic
80#15689464C2211yescharacteristic
81#15689458C2211yescharacteristic
82#15689458C2211yescharacteristic
83#15689458C2211yescharacteristic
84#15689453C2211yescharacteristic
85#15689453C2211yescharacteristic
86#15689453C2211yescharacteristic
87#15689447C2211yescharacteristic
88#15689441C2211yescharacteristic
89#15689436C2211yescharacteristic
90#15689430C2211yescharacteristic
91#15689430C2211yescharacteristic
92#15689430C2211yescharacteristic
93#15689427C2211yescharacteristic
94#15689427C2211yescharacteristic
95#15689427C2211yescharacteristic
96#15689427C2211yescharacteristic
97#15689427C2211yescharacteristic
98#15689427C2211yescharacteristic
99#15689427C2211yescharacteristic
100#15689427C2211yescharacteristic
101#15689427C2211yescharacteristic
102#15689427C2211yescharacteristic
103#15689427C2211yescharacteristic
104#15689427C2211yescharacteristic
105#15689423C2211yescharacteristic
106#15689423C2211yescharacteristic
107#15689423C2211yescharacteristic
108#15689420C2211yescharacteristic
109#15689420C2211yescharacteristic
110#15689420C2211yescharacteristic
111#15689420C2211yescharacteristic
112#15689418C2211yescharacteristic
113#15689415C2211yescharacteristic
114#15689415C2211yescharacteristic
115#15689415C2211yescharacteristic
116#15689413C2211yescharacteristic
117#15689410C2211yescharacteristic
118#15689408C2211yescharacteristic
119#15689408C2211yescharacteristic
120#15689405C2211yescharacteristic
121#15689405C2211yescharacteristic
122#15689405C2211yescharacteristic
123#15689403C2211yescharacteristic
124#15689403C2211yescharacteristic
125#15689400C2211yescharacteristic
126#15689345C2211yescharacteristic
127#15689345C2211yescharacteristic
128#15689345C2211yescharacteristic
129#15689338C2211yescharacteristic
130#15689338C2211yescharacteristic
131#15689338C2211yescharacteristic
132#15689333C2211yescharacteristic
133#15689333C2211yescharacteristic
134#15689333C2211yescharacteristic
135#15689328C2211yescharacteristic
136#15689328C2211yescharacteristic
137#15689328C2211yescharacteristic
138#15689285C2211yescharacteristic
139#15689285C2211yescharacteristic
140#15689285C2211yescharacteristic
141#15689268C2211yescharacteristic
142#15689254C2211yescharacteristic
143#15689254C2211yescharacteristic
144#15689254C2211yescharacteristic
145#15689254C2211yescharacteristic
146#15689254C2211yescharacteristic
147#15689254C2211yescharacteristic
148Q8×C47⋊C8C2211yescharacteristic
149Q8×C47⋊C8C2211yescharacteristic
150#15689233C2211yescharacteristic
151#15689233C2211yescharacteristic
152#15689228C2211yescharacteristic
153#15689228C2211yescharacteristic
154#15689228C2211yescharacteristic
155#15689228C2211yescharacteristic
156#15689223C2211yescharacteristic
157#15689223C2211yescharacteristic
158#15689223C2211yescharacteristic
159#15689223C2211yescharacteristic
160#15689221C2211yescharacteristic
161#15689221C2211yescharacteristic
162C4×#10625337C2211yescharacteristic
163C4×#10625337C2211yescharacteristic
164C4×#10625337C2211yescharacteristic
165C4×#10625337C2211yescharacteristic
166C4×#10625337C2211yescharacteristic
167C4×#10625336C2211yescharacteristic
168C4×#10625335C2211yescharacteristic
169C4×#10625335C2211yescharacteristic
170C4×#10625335C2211yescharacteristic
171C4×#10625335C2211yescharacteristic
172C4×#10625335C2211yescharacteristic
173C4×#10625334C2211yescharacteristic
174#15689184C2211yescharacteristic
175#15689184C2211yescharacteristic
176#15689184C2211yescharacteristic
177#15689184C2211yescharacteristic
178#15689180C2211yescharacteristic
179#15689176C2211yescharacteristic
180C47×#557C2211yescharacteristic
181C47×#557C2211yescharacteristic
182C47×#557C2211yescharacteristic
183C47×#557C2211yescharacteristic
184C47×#554—21no—
185C47×#554—21no—
186C47×#554—21no—
187C47×#554—21no—
188C47×#554C2211yescharacteristic
189C47×#554C2211yescharacteristic
190C47×#554C2211yescharacteristic
191C47×#554C2211yescharacteristic
192C47×#544—21no—
193C47×#544—21no—
194C47×#544C2211yescharacteristic
195C47×#544C2211yescharacteristic
196C47×#533—21no—
197C47×#533C2211yescharacteristic
198C2×#125×C47—21no—
199C2×#125×C47C2211yescharacteristic
200C47×#520C2211yescharacteristic
201C47×#520C2211yescharacteristic
202C4×#41×C47C2211yescharacteristic
203C2×#10625337C2311yescharacteristic
204C2×#10625337C2311yescharacteristic
205C2×#10625337C2311yescharacteristic
206C2×#10625335C2311yescharacteristic
207C2×#10625335C2311yescharacteristic
208C2×#10625335C2311yescharacteristic
209C2×#10625336C2311yescharacteristic
210C2×#10625334C2311yescharacteristic
211#13094024C2311yescharacteristic
212#13094024C2311yescharacteristic
213#13094024C2311yescharacteristic
214#13094024C2311yescharacteristic
215#13094024C2311yescharacteristic
216#13094024C2311yescharacteristic
217#13094023—21no—
218#13094023—21no—
219#13094023—21no—
220#13094022—21no—
221#13094022—21no—
222#13094019—21no—
223#13094019—21no—
224#13094019—21no—
225#13094019—21no—
226#13094019—21no—
227#13094019—21no—
228#13094019—21no—
229#13094019—21no—
230#13094018—21no—
231#13094017—21no—
232#13094017—21no—
233#13094017—21no—
234#13094017—21no—
235#13094016—21no—
236#13094016C2311yescharacteristic
237#13094016C2311yescharacteristic
238#13094016C2311yescharacteristic
239#13094015—21no—
240#13094015—21no—
241#13094015—21no—
242#13094014—21no—
243#13094014—21no—
244#13094014—21no—
245#13094014—21no—
246#13094014—21no—
247#13094014—21no—
248#13094014—21no—
249#13094014—21no—
250#13094012C2311yescharacteristic
251#13094012C2311yescharacteristic
252#13094012C2311yescharacteristic
253#13094010—21no—
254#13094010—21no—
255#13094007—21no—
256#13094006—21no—
257#13094006—21no—
258#13094003—21no—
259#13094003C2311yescharacteristic
260#13094003C2311yescharacteristic
261#13094003C2311yescharacteristic
262#13094002—21no—
263#13094002—21no—
264#13094002—21no—
265#13094002—21no—
266#13094000—21no—
267#13094000—21no—
268#13094000—21no—
269#13094000—21no—
270#13093998C2311yescharacteristic
271Q8×Dic47—21no—
272Q8×Dic47—21no—
273C4×Dic94—21no—
274C4×Dic94C2311yescharacteristic
275C4×Dic94C2311yescharacteristic
276C4×Dic94C2311yescharacteristic
277C4×Dic94C2311yescharacteristic
278C4×Dic94C2311yescharacteristic
279C4×Dic94C2311yescharacteristic
280C4×Dic94C2311yescharacteristic
281C4×Dic94C2311yescharacteristic
282C4×Dic94C2311yescharacteristic
283#13093989—21no—
284#13093989—21no—
285C4×D188C2311yescharacteristic
286C4×D188C2311yescharacteristic
287C4×D188C2311yescharacteristic
288C4×C22⋊D47—21no—
289#13093983—21no—
290#13093982—21no—
291#13093982—21no—
292#13093982—21no—
293#13093981—21no—
294C4⋊C4×D47—21no—
295#13093957C2311yescharacteristic
296#13093957C2311yescharacteristic
297#13093957C2311yescharacteristic
298#13093957C2311yescharacteristic
299#13093957C2311yescharacteristic
300#13093957C2311yescharacteristic
301#13093957C2311yescharacteristic
302#13093957C2311yescharacteristic
303#13093957C2311yescharacteristic
304#13093957C2311yescharacteristic
305#13093957C2311yescharacteristic
306#13093957C2311yescharacteristic
307#13093955C2311yescharacteristic
308#13093955C2311yescharacteristic
309#13093955C2311yescharacteristic
310#13093955C2311yescharacteristic
311#13093955C2311yescharacteristic
312#13093955C2311yescharacteristic
313#13093955C2311yescharacteristic
314#13093955C2311yescharacteristic
315#13093955C2311yescharacteristic
316#13093955C2311yescharacteristic
317#13093955C2311yescharacteristic
318#13093955C2311yescharacteristic
319C4⋊(C47⋊C8)C2311yescharacteristic
320C4⋊(C47⋊C8)C2311yescharacteristic
321C4⋊(C47⋊C8)C2311yescharacteristic
322C4⋊(C47⋊C8)C2311yescharacteristic
323C4⋊(C47⋊C8)C2311yescharacteristic
324C4⋊(C47⋊C8)C2311yescharacteristic
325C4⋊(C47⋊C8)C2311yescharacteristic
326C4⋊(C47⋊C8)C2311yescharacteristic
327C4⋊(C47⋊C8)C2311yescharacteristic
328C4⋊(C47⋊C8)C2311yescharacteristic
329C4⋊(C47⋊C8)C2311yescharacteristic
330C4⋊(C47⋊C8)C2311yescharacteristic
331#13093948C2311yescharacteristic
332#13093948C2311yescharacteristic
333#13093948C2311yescharacteristic
334#13093948C2311yescharacteristic
335#13093947C2311yescharacteristic
336#13093947C2311yescharacteristic
337#13093947C2311yescharacteristic
338#13093947C2311yescharacteristic
339#13093947C2311yescharacteristic
340#13093947C2311yescharacteristic
341#13093947C2311yescharacteristic
342#13093947C2311yescharacteristic
343#13093947C2311yescharacteristic
344#13093947C2311yescharacteristic
345#13093947C2311yescharacteristic
346#13093947C2311yescharacteristic
347#13093947C2311yescharacteristic
348#13093947C2311yescharacteristic
349#13093947C2311yescharacteristic
350#13093947C2311yescharacteristic
351#13093947C2311yescharacteristic
352#13093947C2311yescharacteristic
353#13093945C2311yescharacteristic
354#13093945C2311yescharacteristic
355#13093945C2311yescharacteristic
356#13093945C2311yescharacteristic
357#13093944C2311yescharacteristic
358#13093944C2311yescharacteristic
359#13093944C2311yescharacteristic
360#13093944C2311yescharacteristic
361#13093944C2311yescharacteristic
362#13093944C2311yescharacteristic
363C22⋊(C47⋊C8)C2311yescharacteristic
364C22⋊(C47⋊C8)C2311yescharacteristic
365C22⋊(C47⋊C8)C2311yescharacteristic
366C22⋊(C47⋊C8)C2311yescharacteristic
367#13093935C2311yescharacteristic
368#13093935C2311yescharacteristic
369#13093935C2311yescharacteristic
370#13093935C2311yescharacteristic
371#13093935C2311yescharacteristic
372#13093935C2311yescharacteristic
373C4×C47⋊C8C2311yescharacteristic
374C4×C47⋊C8C2311yescharacteristic
375C4×C47⋊C8C2311yescharacteristic
376C4×C47⋊C8C2311yescharacteristic
377C4×C47⋊C8C2311yescharacteristic
378C4×C47⋊C8C2311yescharacteristic
379C2×#41×C47C2311yescharacteristic
380C4⋊Q8×C47—21no—
381C4⋊Q8×C47—21no—
382C4⋊Q8×C47—21no—
383C4⋊Q8×C47—21no—
384C4⋊Q8×C47—21no—
385C4⋊Q8×C47—21no—
386C4⋊Q8×C47D411yescharacteristic
387C4⋊Q8×C47D411yescharacteristic
388C4⋊Q8×C47C2311yescharacteristic
389C4⋊Q8×C47C2311yescharacteristic
390C4⋊Q8×C47C2311yescharacteristic
391C4⋊Q8×C47C2311yescharacteristic
392#125×C47—21no—
393#125×C47—21no—
394#125×C47—21no—
395#125×C47—21no—
396#125×C47—21no—
397#125×C47—21no—
398#125×C47—21no—
399#125×C47—21no—
400#125×C47—21no—
401#125×C47—21no—
402#125×C47—21no—
403#125×C47—21no—
404#125×C47D411yescharacteristic
405#125×C47D411yescharacteristic
406#125×C47C2311yescharacteristic
407#125×C47C2311yescharacteristic
408#125×C47C2311yescharacteristic
409#125×C47C2311yescharacteristic
410#125×C47C2311yescharacteristic
411#125×C47C2311yescharacteristic
412#125×C47C2311yescharacteristic
413#125×C47C2311yescharacteristic
414C22⋊Q8×C47—21no—
415C22⋊Q8×C47—21no—
416C22⋊Q8×C47—21no—
417C22⋊Q8×C47—21no—
418C22⋊Q8×C47—21no—
419C22⋊Q8×C47—21no—
420C22⋊Q8×C47—21no—
421C22⋊Q8×C47—21no—
422C22⋊Q8×C47—21no—
423C22⋊Q8×C47—21no—
424C22⋊Q8×C47—21no—
425C22⋊Q8×C47—21no—
426C22⋊Q8×C47—21no—
427C22⋊Q8×C47—21no—
428C22⋊Q8×C47—21no—
429C22⋊Q8×C47—21no—
430C22⋊Q8×C47D411yescharacteristic
431C22⋊Q8×C47D411yescharacteristic
432C22⋊Q8×C47D411yescharacteristic
433C22⋊Q8×C47D411yescharacteristic
434C4×Q8×C47—21no—
435C4×Q8×C47—21no—
436C4×Q8×C47—21no—
437C4×Q8×C47—21no—
438C4×Q8×C47C2311yescharacteristic
439C4×Q8×C47C2311yescharacteristic
440C4×Q8×C47C2311yescharacteristic
441C4×Q8×C47C2311yescharacteristic
442C4×Q8×C47C2311yescharacteristic
443C4×Q8×C47C2311yescharacteristic
444C4×Q8×C47C2311yescharacteristic
445C4×Q8×C47C2311yescharacteristic
446C4×Q8×C47C2311yescharacteristic
447C4×Q8×C47C2311yescharacteristic
448C4×D4×C47—21no—
449C4×D4×C47—21no—
450C4×D4×C47—21no—
451C4×D4×C47—21no—
452C4×D4×C47—21no—
453C4×D4×C47—21no—
454C4×D4×C47C2311yescharacteristic
455C4×D4×C47C2311yescharacteristic
456C4×D4×C47C2311yescharacteristic
457C4×D4×C47C2311yescharacteristic
458C4×D4×C47C2311yescharacteristic
459C4×D4×C47C2311yescharacteristic
460#117×C47—21no—
461#117×C47—21no—
462#117×C47—21no—
463#117×C47C2311yescharacteristic
464#117×C47C2311yescharacteristic
465#117×C47C2311yescharacteristic
466C2×C4⋊C4×C47—21no—
467C2×C4⋊C4×C47—21no—
468C2×C4⋊C4×C47—21no—
469C2×C4⋊C4×C47—21no—
470C2×C4⋊C4×C47—21no—
471C2×C4⋊C4×C47—21no—
472C2×C4⋊C4×C47—21no—
473C2×C4⋊C4×C47—21no—
474C2×C4⋊C4×C47C2311yescharacteristic
475C2×C4⋊C4×C47C2311yescharacteristic
476C2×C42×C47—21no—
477C2×C42×C47C2311yescharacteristic
478#41×C47—22no—
479#41×C47—22no—
480C2×Q8×C47—21no—
481C2×Q8×C47—21no—
482C2×Q8×C47—21no—
483C2×Q8×C47—21no—
484C2×Q8×C47C2×D411yescharacteristic
485C2×Q8×C47C2×D411yescharacteristic
486C2×Q8×C47C2×D411yescharacteristic
487C2×Q8×C47C2×D411yescharacteristic
488C2×Q8×C47C2411yescharacteristic
489C2×D4×C47—21no—
490C2×D4×C47C2411yescharacteristic
491C22×C4×C47—21no—
492C22×C4×C47—21no—
493C22×C4×C47—21no—
494C22×C4×C47—21no—
495C22×C4×C47—21no—
496C22×C4×C47—21no—
497C22×C4×C47—21no—
498C22×C4×C47—21no—
499C22×C4×C47—21no—
500C22×C4×C47C2×D411yescharacteristic
501C22×C4×C47C2×D411yescharacteristic
502C22×C4×C47C2411yescharacteristic
503C2×C22⋊D47—21no—
504C2×D188C2411yescharacteristic
505C2×C4×D47—21no—
506C2×C4×D47—21no—
507C2×C4×D47—21no—
508C2×Dic94—21no—
509C2×Dic94—21no—
510C2×Dic94—21no—
511C2×Dic94C2411yescharacteristic
512C2×Dic94C2411yescharacteristic
513C2×Dic94C2411yescharacteristic
514C4⋊C4×C47—21no—
515C4⋊C4×C47—21no—
516C4⋊C4×C47—21no—
517C4⋊C4×C47—21no—
518C4⋊C4×C47—21no—
519C4⋊C4×C47—21no—
520C4⋊C4×C47—21no—
521C4⋊C4×C47—21no—
522C4⋊C4×C47—21no—
523C4⋊C4×C47—21no—
524C4⋊C4×C47—21no—
525C4⋊C4×C47—21no—
526C4⋊C4×C47—21no—
527C4⋊C4×C47—21no—
528C4⋊C4×C47—21no—
529C4⋊C4×C47—21no—
530C4⋊C4×C47—21no—
531C4⋊C4×C47—21no—
532C4⋊C4×C47—21no—
533C4⋊C4×C47—21no—
534C4⋊C4×C47—21no—
535C4⋊C4×C47—21no—
536C4⋊C4×C47—21no—
537C4⋊C4×C47—21no—
538C4⋊C4×C47—21no—
539C4⋊C4×C47—21no—
540C4⋊C4×C47—21no—
541C4⋊C4×C47—21no—
542C4⋊C4×C47C2×D411yescharacteristic
543C4⋊C4×C47C2×D411yescharacteristic
544C4⋊C4×C47C2×D411yescharacteristic
545C4⋊C4×C47C2×D411yescharacteristic
546C4⋊C4×C47C2×D411yescharacteristic
547C4⋊C4×C47C2×D411yescharacteristic
548C4⋊C4×C47C2×D411yescharacteristic
549C4⋊C4×C47C2×D411yescharacteristic
550C4⋊C4×C47C2×D411yescharacteristic
551C4⋊C4×C47C2×D411yescharacteristic
552C4⋊C4×C47C2×D411yescharacteristic
553C4⋊C4×C47C2×D411yescharacteristic
554C4⋊C4×C47C2×D411yescharacteristic
555C4⋊C4×C47C2×D411yescharacteristic
556C4⋊C4×C47C2×D411yescharacteristic
557C4⋊C4×C47C2×D411yescharacteristic
558C4⋊C4×C47C2411yescharacteristic
559C4⋊C4×C47C2411yescharacteristic
560C4⋊C4×C47C2411yescharacteristic
561C4⋊C4×C47C2411yescharacteristic
562C4⋊C4×C47C2411yescharacteristic
563C4⋊C4×C47C2411yescharacteristic
564C22⋊C4×C47—21no—
565C22⋊C4×C47—21no—
566C22⋊C4×C47—21no—
567C22⋊C4×C47—21no—
568C22⋊C4×C47—21no—
569C22⋊C4×C47—21no—
570C22⋊C4×C47—21no—
571C22⋊C4×C47C2×D411yescharacteristic
572C22⋊C4×C47C2×D411yescharacteristic
573C22⋊C4×C47C2×D411yescharacteristic
574C22⋊C4×C47C2×D411yescharacteristic
575C42×C47—21no—
576C42×C47—21no—
577C42×C47—21no—
578C42×C47—21no—
579C42×C47—21no—
580C42×C47—21no—
581C42×C47—21no—
582C42×C47C2×D411yescharacteristic
583C42×C47C2×D411yescharacteristic
584C42×C47C2411yescharacteristic
585C42×C47C2411yescharacteristic
586C42×C47C2411yescharacteristic
587C42×C47C2411yescharacteristic
588C42×C47C2411yescharacteristic
589C42×C47C2411yescharacteristic
590C22⋊Dic47—21no—
591C22⋊Dic47—21no—
592C22⋊Dic47—21no—
593#10625337—22no—
594#10625337—22no—
595#10625337—22no—
596#10625336—22no—
597#10625335—22no—
598#10625335—22no—
599#10625335—22no—
600#10625334—22no—
601(C2×D47)⋊C4—21no—
602(C2×D47)⋊C4—21no—
603(C2×D47)⋊C4—21no—
604(C2×D47)⋊C4—21no—
605(C2×D47)⋊C4—21no—
606(C2×D47)⋊C4—21no—
607(C2×D47)⋊C4—21no—
608(C2×D47)⋊C4—21no—
609(C2×D47)⋊C4—21no—
610(C2×D47)⋊C4—21no—
611C4⋊Dic47—21no—
612C4⋊Dic47—21no—
613C4⋊Dic47—21no—
614C4⋊Dic47—21no—
615C4⋊Dic47—21no—
616C4⋊Dic47—21no—
617C4⋊Dic47—21no—
618C4⋊Dic47—21no—
619C4⋊Dic47—21no—
620C4⋊Dic47C2411yescharacteristic
621C4⋊Dic47C2411yescharacteristic
622C4⋊Dic47C2411yescharacteristic
623C4⋊Dic47C2411yescharacteristic
624Dic47⋊C4—21no—
625Dic47⋊C4—21no—
626Dic47⋊C4—21no—
627Dic47⋊C4—21no—
628Dic47⋊C4—21no—
629Dic47⋊C4—21no—
630Dic47⋊C4—21no—
631Dic47⋊C4—21no—
632Dic47⋊C4—21no—
633Dic47⋊C4—21no—
634Dic47⋊C4—21no—
635Dic47⋊C4—21no—
636Dic47⋊C4—21no—
637Dic47⋊C4—21no—
638Dic47⋊C4—21no—
639Dic47⋊C4—21no—
640Dic47⋊C4—21no—
641Dic47⋊C4—21no—
642C4×Dic47—21no—
643C4×Dic47—21no—
644C4×Dic47—21no—
645C4×Dic47—21no—
646C4×Dic47—21no—
647C4×Dic47—21no—
648C4×Dic47—21no—
649C4×Dic47—21no—
650C4×Dic47—21no—
651C2×C47⋊C8C2411yescharacteristic
652C2×C47⋊C8C2411yescharacteristic
653C2×C47⋊C8C2411yescharacteristic
654C2×C47⋊C8C2411yescharacteristic
655C2×C47⋊C8C2411yescharacteristic
656C2×C47⋊C8C2411yescharacteristic
657C2×C47⋊C8C2411yescharacteristic
658C2×C47⋊C8C2411yescharacteristic
659C23×C47—21no—
660C23×C47C22×D411yescharacteristic
661C22×D47—21no—
662Q8×C47—21no—
663Q8×C47—41no—
664Q8×C47—41no—
665Q8×C47—41no—
666Q8×C47—41no—
667Q8×C47—81no—
668Q8×C47—81no—
669Q8×C47—81no—
670Q8×C47—81no—
671Q8×C472−1+412yes—
672D4×C47—24no—
673D4×C47—21no—
674D4×C472−1+412yes—
675C2×C4×C47—24no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—41no—
686C2×C4×C47—41no—
687C2×C4×C47—81no—
688C2×C4×C47—81no—
689C2×C4×C47—81no—
690C2×C4×C47—81no—
691C2×C4×C47—81no—
692C2×C4×C47—81no—
693C2×C4×C47—81no—
694C2×C4×C47—81no—
695C2×C4×C47C22×D411yescharacteristic
696C2×C4×C47C22×D411yescharacteristic
697C2×C4×C47C22×D411yescharacteristic
698C2×C4×C47C22×D411yescharacteristic
699C2×C4×C47C22×D411yescharacteristic
700C2×C4×C47C22×D411yescharacteristic
701C2×C4×C47C22×D411yescharacteristic
702C2×C4×C47C22×D411yescharacteristic
703C2×C4×C47C22×D411yescharacteristic
704C2×C4×C47C22×D411yescharacteristic
705C2×C4×C47C22×D411yescharacteristic
706C2×C4×C47C22×D411yescharacteristic
707C2×C4×C47C22×D411yescharacteristic
708C2×C4×C47C2511yescharacteristic
709C22⋊D47—81no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717D188—21no—
718D188—21no—
719C4×D47—42no—
720C4×D47—81no—
721C4×D47—81no—
722Dic94—21no—
723Dic94—21no—
724Dic94—21no—
725Dic94—21no—
726Dic94—21no—
727Dic94—21no—
728Dic94—81no—
729Dic94—81no—
730Dic94—81no—
731C47⋊C8—21no—
732C47⋊C8—21no—
733C47⋊C8—21no—
734C47⋊C8—21no—
735C47⋊C8—21no—
736C47⋊C8—21no—
737C47⋊C8—21no—
738C47⋊C8—21no—
739#61862—471nomaximal, Sylow
740C22×C47—21no—
741C22×C47—21no—
742C22×C47—21no—
743C22×C47—22no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47C23×D411yescharacteristic
747C2×D47—41no—
748C2×D47—41no—
749C2×D47—41no—
750C4×C47—21no—
751C4×C47—21no—
752C4×C47—21no—
753C4×C47—21no—
754C4×C47—21no—
755C4×C47—21no—
756C4×C47—21no—
757C4×C47—21no—
758C4×C47—21no—
759C4×C47—21no—
760C4×C47—21no—
761C4×C47—21no—
762C4×C47—21no—
763C4×C47—22no—
764C4×C47—41no—
765C4×C47—41no—
766C4×C47—41no—
767C4×C47—41no—
768C4×C47—41no—
769C4×C47—41no—
770C4×C47C2×2−1+411yescharacteristic
771C4×C47C2×2−1+411yescharacteristic
772Dic47—41no—
773Dic47—41no—
774Dic47—41no—
775Dic47—41no—
776Dic47—41no—
777Dic47—41no—
778Dic47—41no—
779#3555—471no—
780#3504D4711yescharacteristic, complemented
781#3390—471no—
782#3389—471no—
783#3388—471no—
784#3388—471no—
785#3387—471no—
786#3385—471no—
787#3383—471no—
788#3381—471no—
789#3377—471no—
790#3377—471no—
791#3376—471no—
792#3376—471no—
793#3374—471no—
794#3372—471no—
795#3364—471no—
796#3360—471no—
797#3244—471no—
798#3243—471no—
799#3242—471no—
800#3242—471no—
801#3236—471no—
802#3232—471no—
803#3125—471no—
804#3124—471no—
805#3120—471no—
806#3120—471no—
807#3111—471no—
808#3107—471no—
809#2985—471no—
810C2×C47—41no—
811C2×C47—42no—
812C2×C47#348611yescharacteristic
813C2×C47#358411yescharacteristic
814C2×C47#358611yescharacteristic
815D47—81no—
816#563—941no—
817#563—941no—
818Q82—471no—
819#557—471no—
820#557—471no—
821#557—471no—
822#557C2×D4711yescharacteristic
823#557C2×D4711yescharacteristic
824#557C2×D4711yescharacteristic
825#557C2×D4711yescharacteristic
826#556—471no—
827#556—471no—
828#556—471no—
829#556—941no—
830#554—21no—
831#554—21no—
832#554—21no—
833#554—21no—
834#554—471no—
835#554C2×D4711yescharacteristic
836#554C2×D4711yescharacteristic
837#554C2×D4711yescharacteristic
838#554C2×D4711yescharacteristic
839#552—941no—
840#544—21no—
841#544—21no—
842#544—941no—
843#544C2×D4711yescharacteristic
844#544C2×D4711yescharacteristic
845#542—471no—
846#542—471no—
847#541—471no—
848#541—471no—
849#541—941no—
850#541—941no—
851#541—941no—
852#533—21no—
853#533—471no—
854#533C2×D4711yescharacteristic
855#529—471no—
856C2×#125—21no—
857C2×#125C2×D4711yescharacteristic
858#520C2×D4711yescharacteristic
859#520C2×D4711yescharacteristic
860C4×#41C2×D4711yescharacteristic
861#501—471no—
862#501—471no—
863#501—471no—
864#501—471no—
865#501—471no—
866#501—471no—
867#500—471no—
868#499—471no—
869#499—471no—
870#499—471no—
871#499—471no—
872#498—471no—
873#491—471no—
874#491—471no—
875#491—471no—
876#491—471no—
877#489—471no—
878#489—471no—
879#488—471no—
880#488—471no—
881#488—471no—
882#488—471no—
883#487—471no—
884#487—471no—
885#485—471no—
886#485—471no—
887#485—471no—
888#484—471no—
889#484—471no—
890#484—471no—
891#483—471no—
892#483—471no—
893#483—471no—
894#482—471no—
895#481—471no—
896#480—471no—
897#479—471no—
898#479—471no—
899#479—471no—
900#479—471no—
901#479—471no—
902#479—471no—
903#479—471no—
904#479—471no—
905#479—471no—
906#479—471no—
907#479—471no—
908#479—471no—
909#479—471no—
910#479—471no—
911#479—471no—
912#478—471no—
913#478—471no—
914#478—471no—
915#478—471no—
916#478—471no—
917#478—471no—
918#478—471no—
919#477—471no—
920#477—471no—
921#477—471no—
922#477—471no—
923#476—471no—
924#476—471no—
925#475—471no—
926#475—471no—
927#475—471no—
928#475—471no—
929#475—471no—
930#474—471no—
931#474—471no—
932#474—471no—
933#464—471no—
934#464—471no—
935#464—471no—
936#463—471no—
937#463—471no—
938#463—471no—
939#462—471no—
940#462—471no—
941#462—471no—
942#461—471no—
943#461—471no—
944#461—471no—
945#452—471no—
946#452—471no—
947#452—471no—
948#449—471no—
949#446—471no—
950#446—471no—
951#446—471no—
952#446—471no—
953#446—471no—
954#446—471no—
955C8×Q8—471no—
956C8×Q8—471no—
957#442—471no—
958#442—471no—
959#441—471no—
960#441—471no—
961#441—471no—
962#441—471no—
963#440—471no—
964#440—471no—
965#440—471no—
966#440—471no—
967#440—471no—
968#440—471no—
969C4×Q16—471no—
970C4×Q16—471no—
971C4×Q16—471no—
972C4×Q16—471no—
973C4×Q16—471no—
974C4×SD16—471no—
975C4×SD16—471no—
976C4×SD16—471no—
977C4×SD16—471no—
978C4×SD16—471no—
979C4×SD16—471no—
980C4×D8—471no—
981#433—471no—
982#433—471no—
983#433—471no—
984#433—471no—
985#432—471no—
986#431—471no—
987C47#6186211yescharacteristic, complemented, Sylow
988C2×#41C22×D4711yescharacteristic
989C2×Q16—471no—
990C2×Q16—471no—
991C2×Q16—471no—
992C2×SD16—471no—
993C2×SD16—471no—
994C2×SD16—471no—
995C2×SD16—471no—
996C2×D8—471no—
997C4⋊Q8—21no—
998C4⋊Q8—21no—
999C4⋊Q8—21no—
1000C4⋊Q8—21no—
1001C4⋊Q8—21no—
1002C4⋊Q8—21no—
1003C4⋊Q8—471no—
1004C4⋊Q8—471no—
1005C4⋊Q8—471no—
1006C4⋊Q8—471no—
1007C4⋊Q8—471no—
1008C4⋊Q8—471no—
1009C4⋊Q8—941no—
1010C4⋊Q8—941no—
1011C4⋊Q8—941no—
1012C4⋊Q8—941no—
1013C4⋊Q8—941no—
1014C4⋊Q8C22⋊D4711yescharacteristic
1015C4⋊Q8C22⋊D4711yescharacteristic
1016C4⋊Q8C22×D4711yescharacteristic
1017C4⋊Q8C22×D4711yescharacteristic
1018C4⋊Q8C22×D4711yescharacteristic
1019C4⋊Q8C22×D4711yescharacteristic
1020#126—941no—
1021#126—941no—
1022#126—941no—
1023#126—941no—
1024#126—941no—
1025#126—941no—
1026#126—941no—
1027#126—941no—
1028#126—941no—
1029#126—941no—
1030#126—941no—
1031#126—941no—
1032#126—941no—
1033#125—21no—
1034#125—21no—
1035#125—21no—
1036#125—21no—
1037#125—21no—
1038#125—21no—
1039#125—21no—
1040#125—21no—
1041#125—21no—
1042#125—21no—
1043#125—21no—
1044#125—21no—
1045#125—471no—
1046#125—471no—
1047#125—471no—
1048#125—941no—
1049#125—941no—
1050#125—941no—
1051#125—941no—
1052#125—941no—
1053#125—941no—
1054#125—941no—
1055#125—941no—
1056#125—941no—
1057#125—941no—
1058#125—941no—
1059#125—941no—
1060#125C22⋊D4711yescharacteristic
1061#125C22⋊D4711yescharacteristic
1062#125C22×D4711yescharacteristic
1063#125C22×D4711yescharacteristic
1064#125C22×D4711yescharacteristic
1065#125C22×D4711yescharacteristic
1066#125C22×D4711yescharacteristic
1067#125C22×D4711yescharacteristic
1068#125C22×D4711yescharacteristic
1069#125C22×D4711yescharacteristic
1070#124—471no—
1071#124—471no—
1072#124—471no—
1073#124—941no—
1074#124—941no—
1075#123—941no—
1076#123—941no—
1077#123—941no—
1078C22⋊Q8—21no—
1079C22⋊Q8—21no—
1080C22⋊Q8—21no—
1081C22⋊Q8—21no—
1082C22⋊Q8—21no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—21no—
1087C22⋊Q8—21no—
1088C22⋊Q8—21no—
1089C22⋊Q8—21no—
1090C22⋊Q8—21no—
1091C22⋊Q8—21no—
1092C22⋊Q8—21no—
1093C22⋊Q8—21no—
1094C22⋊Q8—471no—
1095C22⋊Q8—471no—
1096C22⋊Q8—471no—
1097C22⋊Q8—941no—
1098C22⋊Q8—941no—
1099C22⋊Q8—941no—
1100C22⋊Q8—941no—
1101C22⋊Q8—941no—
1102C22⋊Q8—941no—
1103C22⋊Q8—941no—
1104C22⋊Q8—941no—
1105C22⋊Q8—941no—
1106C22⋊Q8C22⋊D4711yescharacteristic
1107C22⋊Q8C22⋊D4711yescharacteristic
1108C22⋊Q8C22⋊D4711yescharacteristic
1109C22⋊Q8C22⋊D4711yescharacteristic
1110#121—471no—
1111C4×Q8—21no—
1112C4×Q8—21no—
1113C4×Q8—21no—
1114C4×Q8—21no—
1115C4×Q8—471no—
1116C4×Q8—471no—
1117C4×Q8—471no—
1118C4×Q8—471no—
1119C4×Q8—471no—
1120C4×Q8—471no—
1121C4×Q8—471no—
1122C4×Q8—471no—
1123C4×Q8—471no—
1124C4×Q8—941no—
1125C4×Q8—941no—
1126C4×Q8—941no—
1127C4×Q8—941no—
1128C4×Q8—941no—
1129C4×Q8C22×D4711yescharacteristic
1130C4×Q8C22×D4711yescharacteristic
1131C4×Q8C22×D4711yescharacteristic
1132C4×Q8C22×D4711yescharacteristic
1133C4×Q8C22×D4711yescharacteristic
1134C4×Q8C22×D4711yescharacteristic
1135C4×Q8C22×D4711yescharacteristic
1136C4×Q8C22×D4711yescharacteristic
1137C4×Q8C22×D4711yescharacteristic
1138C4×Q8C22×D4711yescharacteristic
1139C4×D4—21no—
1140C4×D4—21no—
1141C4×D4—21no—
1142C4×D4—21no—
1143C4×D4—21no—
1144C4×D4—21no—
1145C4×D4—471no—
1146C4×D4—471no—
1147C4×D4—471no—
1148C4×D4—941no—
1149C4×D4C22×D4711yescharacteristic
1150C4×D4C22×D4711yescharacteristic
1151C4×D4C22×D4711yescharacteristic
1152C4×D4C22×D4711yescharacteristic
1153C4×D4C22×D4711yescharacteristic
1154C4×D4C22×D4711yescharacteristic
1155#117—21no—
1156#117—21no—
1157#117—21no—
1158#117—941no—
1159#117—941no—
1160#117—941no—
1161#117—941no—
1162#117—941no—
1163#117C22×D4711yescharacteristic
1164#117C22×D4711yescharacteristic
1165#117C22×D4711yescharacteristic
1166C2×C4⋊C4—21no—
1167C2×C4⋊C4—21no—
1168C2×C4⋊C4—21no—
1169C2×C4⋊C4—21no—
1170C2×C4⋊C4—21no—
1171C2×C4⋊C4—21no—
1172C2×C4⋊C4—21no—
1173C2×C4⋊C4—21no—
1174C2×C4⋊C4—941no—
1175C2×C4⋊C4C22×D4711yescharacteristic
1176C2×C4⋊C4C22×D4711yescharacteristic
1177C2×C42—21no—
1178C2×C42C22×D4711yescharacteristic
1179#107—471no—
1180#107—471no—
1181#107—471no—
1182#107—471no—
1183#107—471no—
1184#107—471no—
1185#107—471no—
1186#107—471no—
1187#107—471no—
1188#107—471no—
1189#107—471no—
1190#107—471no—
1191#106—471no—
1192#106—471no—
1193#106—471no—
1194#106—471no—
1195#106—471no—
1196#106—471no—
1197#106—471no—
1198#106—471no—
1199#106—471no—
1200#106—471no—
1201#106—471no—
1202#106—471no—
1203C4⋊C8—471no—
1204C4⋊C8—471no—
1205C4⋊C8—471no—
1206C4⋊C8—471no—
1207C4⋊C8—471no—
1208C4⋊C8—471no—
1209C4⋊C8—471no—
1210C4⋊C8—471no—
1211C4⋊C8—471no—
1212C4⋊C8—471no—
1213C4⋊C8—471no—
1214C4⋊C8—471no—
1215#103—471no—
1216#103—471no—
1217#103—471no—
1218#103—471no—
1219#103—471no—
1220#103—471no—
1221#103—471no—
1222#103—471no—
1223#103—471no—
1224#103—471no—
1225#103—471no—
1226#103—471no—
1227#103—471no—
1228#103—471no—
1229#103—471no—
1230#103—471no—
1231#103—471no—
1232#103—471no—
1233#103—471no—
1234#103—471no—
1235#103—471no—
1236#103—471no—
1237#102—471no—
1238#102—471no—
1239#102—471no—
1240#102—471no—
1241#102—471no—
1242#102—471no—
1243#102—471no—
1244#102—471no—
1245#102—471no—
1246#102—471no—
1247C22⋊C8—471no—
1248C22⋊C8—471no—
1249C22⋊C8—471no—
1250C22⋊C8—471no—
1251#97—471no—
1252#97—471no—
1253#97—471no—
1254#97—471no—
1255#97—471no—
1256#97—471no—
1257C4×C8—471no—
1258C4×C8—471no—
1259C4×C8—471no—
1260C4×C8—471no—
1261C4×C8—471no—
1262C4×C8—471no—
1263#41—22no—
1264#41—22no—
1265C2×Q8—21no—
1266C2×Q8—21no—
1267C2×Q8—21no—
1268C2×Q8—21no—
1269C2×Q8—471no—
1270C2×Q8—471no—
1271C2×Q8—471no—
1272C2×Q8—941no—
1273C2×Q8—941no—
1274C2×Q8—941no—
1275C2×Q8C2×C22⋊D4711yescharacteristic
1276C2×Q8C2×C22⋊D4711yescharacteristic
1277C2×Q8C2×C22⋊D4711yescharacteristic
1278C2×Q8C2×C22⋊D4711yescharacteristic
1279C2×Q8C23×D4711yescharacteristic
1280C2×D4—21no—
1281C2×D4—471no—
1282C2×D4—941no—
1283C2×D4C23×D4711yescharacteristic
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—941no—
1294C22×C4—941no—
1295C22×C4—941no—
1296C22×C4C2×C22⋊D4711yescharacteristic
1297C22×C4C2×C22⋊D4711yescharacteristic
1298C22×C4C23×D4711yescharacteristic
1299Q16—942no—
1300Q16—942no—
1301Q16—942no—
1302SD16—942no—
1303SD16—942no—
1304SD16—942no—
1305SD16—942no—
1306D8—942no—
1307C2×C8—471no—
1308C2×C8—471no—
1309C2×C8—471no—
1310C2×C8—471no—
1311C2×C8—471no—
1312C2×C8—471no—
1313C2×C8—471no—
1314C2×C8—471no—
1315C4⋊C4—21no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—471no—
1344C4⋊C4—471no—
1345C4⋊C4—471no—
1346C4⋊C4—471no—
1347C4⋊C4—941no—
1348C4⋊C4—941no—
1349C4⋊C4—941no—
1350C4⋊C4—941no—
1351C4⋊C4—941no—
1352C4⋊C4—941no—
1353C4⋊C4—941no—
1354C4⋊C4—941no—
1355C4⋊C4—941no—
1356C4⋊C4—941no—
1357C4⋊C4—941no—
1358C4⋊C4—941no—
1359C4⋊C4—941no—
1360C4⋊C4—941no—
1361C4⋊C4—941no—
1362C4⋊C4—941no—
1363C4⋊C4—941no—
1364C4⋊C4—941no—
1365C4⋊C4—941no—
1366C4⋊C4—941no—
1367C4⋊C4—941no—
1368C4⋊C4—941no—
1369C4⋊C4—941no—
1370C4⋊C4—941no—
1371C4⋊C4—941no—
1372C4⋊C4—941no—
1373C4⋊C4—941no—
1374C4⋊C4C2×C22⋊D4711yescharacteristic
1375C4⋊C4C2×C22⋊D4711yescharacteristic
1376C4⋊C4C2×C22⋊D4711yescharacteristic
1377C4⋊C4C2×C22⋊D4711yescharacteristic
1378C4⋊C4C2×C22⋊D4711yescharacteristic
1379C4⋊C4C2×C22⋊D4711yescharacteristic
1380C4⋊C4C2×C22⋊D4711yescharacteristic
1381C4⋊C4C2×C22⋊D4711yescharacteristic
1382C4⋊C4C2×C22⋊D4711yescharacteristic
1383C4⋊C4C2×C22⋊D4711yescharacteristic
1384C4⋊C4C2×C22⋊D4711yescharacteristic
1385C4⋊C4C2×C22⋊D4711yescharacteristic
1386C4⋊C4C2×C22⋊D4711yescharacteristic
1387C4⋊C4C2×C22⋊D4711yescharacteristic
1388C4⋊C4C2×C22⋊D4711yescharacteristic
1389C4⋊C4C2×C22⋊D4711yescharacteristic
1390C4⋊C4C23×D4711yescharacteristic
1391C4⋊C4C23×D4711yescharacteristic
1392C4⋊C4C23×D4711yescharacteristic
1393C4⋊C4C23×D4711yescharacteristic
1394C4⋊C4C23×D4711yescharacteristic
1395C4⋊C4C23×D4711yescharacteristic
1396C22⋊C4—21no—
1397C22⋊C4—21no—
1398C22⋊C4—21no—
1399C22⋊C4—21no—
1400C22⋊C4—21no—
1401C22⋊C4—21no—
1402C22⋊C4—21no—
1403C22⋊C4—941no—
1404C22⋊C4—941no—
1405C22⋊C4—941no—
1406C22⋊C4—941no—
1407C22⋊C4—941no—
1408C22⋊C4—941no—
1409C22⋊C4—941no—
1410C22⋊C4—941no—
1411C22⋊C4—941no—
1412C22⋊C4—941no—
1413C22⋊C4—941no—
1414C22⋊C4—941no—
1415C22⋊C4—941no—
1416C22⋊C4C2×C22⋊D4711yescharacteristic
1417C22⋊C4C2×C22⋊D4711yescharacteristic
1418C22⋊C4C2×C22⋊D4711yescharacteristic
1419C22⋊C4C2×C22⋊D4711yescharacteristic
1420C42—21no—
1421C42—21no—
1422C42—21no—
1423C42—21no—
1424C42—21no—
1425C42—21no—
1426C42—21no—
1427C42—941no—
1428C42—941no—
1429C42—941no—
1430C42—941no—
1431C42—941no—
1432C42—941no—
1433C42—941no—
1434C42—941no—
1435C42—941no—
1436C42C2×C22⋊D4711yescharacteristic
1437C42C2×C22⋊D4711yescharacteristic
1438C42C23×D4711yescharacteristic
1439C42C23×D4711yescharacteristic
1440C42C23×D4711yescharacteristic
1441C42C23×D4711yescharacteristic
1442C42C23×D4711yescharacteristic
1443C42C23×D4711yescharacteristic
1444C23—21no—
1445C23—941no—
1446C23C22×C22⋊D4711yescharacteristic
1447Q8—21no—
1448Q8—41no—
1449Q8—41no—
1450Q8—41no—
1451Q8—41no—
1452Q8—81no—
1453Q8—81no—
1454Q8—81no—
1455Q8—81no—
1456Q8—941no—
1457Q8—941no—
1458Q8—941no—
1459Q8—941no—
1460Q8—941no—
1461Q8—941no—
1462Q8—3761no—
1463Q8—3761no—
1464Q8—3761no—
1465Q8#1309407212yes—
1466D4—24no—
1467D4—21no—
1468D4—941no—
1469D4—941no—
1470D4—3761no—
1471D4#1309407212yes—
1472C2×C4—24no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—81no—
1485C2×C4—81no—
1486C2×C4—81no—
1487C2×C4—81no—
1488C2×C4—81no—
1489C2×C4—81no—
1490C2×C4—81no—
1491C2×C4—81no—
1492C2×C4—941no—
1493C2×C4—941no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—3761no—
1500C2×C4—3761no—
1501C2×C4—1882no—
1502C2×C4C22×C22⋊D4711yescharacteristic
1503C2×C4C22×C22⋊D4711yescharacteristic
1504C2×C4C22×C22⋊D4711yescharacteristic
1505C2×C4C22×C22⋊D4711yescharacteristic
1506C2×C4C22×C22⋊D4711yescharacteristic
1507C2×C4C22×C22⋊D4711yescharacteristic
1508C2×C4C22×C22⋊D4711yescharacteristic
1509C2×C4C22×C22⋊D4711yescharacteristic
1510C2×C4C22×C22⋊D4711yescharacteristic
1511C2×C4C22×C22⋊D4711yescharacteristic
1512C2×C4C22×C22⋊D4711yescharacteristic
1513C2×C4C22×C22⋊D4711yescharacteristic
1514C2×C4C22×C22⋊D4711yescharacteristic
1515C2×C4C24×D4711yescharacteristic
1516C8—941no—
1517C8—941no—
1518C8—941no—
1519C8—941no—
1520C8—941no—
1521C8—941no—
1522C8—941no—
1523C8—941no—
1524C22—21no—
1525C22—22no—
1526C22—21no—
1527C22—21no—
1528C22—41no—
1529C22—41no—
1530C22—1881no—
1531C22—1881no—
1532C22—1881no—
1533C22C23×C22⋊D4711yescharacteristic
1534C4—21no—
1535C4—22no—
1536C4—21no—
1537C4—21no—
1538C4—21no—
1539C4—21no—
1540C4—21no—
1541C4—21no—
1542C4—21no—
1543C4—21no—
1544C4—21no—
1545C4—21no—
1546C4—21no—
1547C4—21no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—1881no—
1555C4—1881no—
1556C4—1881no—
1557C4—1881no—
1558C4—1881no—
1559C4—1881no—
1560C4—1881no—
1561C4C2×#1309407211yescharacteristic
1562C4C2×#1309407211yescharacteristic
1563C2—41no—
1564C2—42no—
1565C2—3761no—
1566C2#2025703911yescharacteristic
1567C2#2025815911yescharacteristic
1568C2#2025817411yescharacteristic
subgroupG/H
centerC22C23×C22⋊D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3504C2
socleC22×C47C23×D4
prime radical#15689268C22
hypercenter#3504D47
hypocenterC47#61862
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #533 ◁ #3504

Complements

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

NH ≅ G/Ntype
1. #20257876C2semidirect
2. #20256351C2semidirect
3. #20256342C2semidirect
4. #20256333C2semidirect
5. #20256327C2semidirect
6. #20256320C2semidirect
7. #20256298C2semidirect
8. #20256275C2semidirect
9. #20256263C2semidirect
10. #20256230C2semidirect
11. #20256230C2semidirect
12. #20256215C2semidirect
13. #20256215C2semidirect
14. #20256191C2semidirect
15. #20256169C2semidirect
16. #20256073C2semidirect
17. #20256037C2semidirect
18. #20254686C2semidirect
19. #20254671C2semidirect
20. #20254656C2semidirect
21. #20254656C2semidirect
22. #20254594C2semidirect
23. #20254556C2semidirect
26. #20253602C2semidirect
27. #20253602C2semidirect
29. #20253459C2semidirect
30. #20252483C2semidirect
31. C47×#3504C2semidirect
780. #3504D47semidirect
987. C47#61862semidirect

Maximal subgroups

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

subgroupindex
#202578762
#202563512
#202563422
#202563332
#202563272
#202563202
#202562982
#202562752
#202562632
#202562302
#202562152
#202561912
#202561692
#202560732
#202560372
#202546862
#202546712
#202546562
#202545942
#202545562
#202536652
#202536502
#202536022
#202534972
#202534592
#202524832
C47×#35042
#6186247