Finite Group Databasebeta

← #27106973

Subgroups — #27106973

Order 12032.

1674 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257868C211yesmaximal, characteristic, complemented
2#20257187C211yesmaximal, characteristic, complemented
3#20256339C211yesmaximal, characteristic, complemented
4#20256327C211yesmaximal, characteristic, complemented
5#20256293C211yesmaximal, characteristic, complemented
6#20256290C211yesmaximal, characteristic, complemented
7#20256258C211yesmaximal, characteristic, complemented
8#20256252C211yesmaximal, characteristic, complemented
9#20256245C211yesmaximal, characteristic, complemented
10#20256215C211yesmaximal, characteristic, complemented
11#20256211C211yesmaximal, characteristic, complemented
12#20256172C211yesmaximal, characteristic, complemented
13#20256109C211yesmaximal, characteristic, complemented
14#20256040C211yesmaximal, characteristic, complemented
15#20256039C211yesmaximal, characteristic, complemented
16#20256038C211yesmaximal, characteristic, complemented
17#20256028C211yesmaximal, characteristic, complemented
18#20254693C211yesmaximal, characteristic, complemented
19#20254689C211yesmaximal, characteristic, complemented
20#20254659C211yesmaximal, characteristic, complemented
21#20254655C211yesmaximal, characteristic, complemented
22#20254568C211yesmaximal, characteristic, complemented
23#20254546C211yesmaximal, characteristic, complemented
24#20253642C211yesmaximal, characteristic, complemented
25#20253637C211yesmaximal, characteristic, complemented
26#20253579C211yesmaximal, characteristic
27#20253578C211yesmaximal, characteristic
28#20253440C211yesmaximal, characteristic
29#20253394C211yesmaximal, characteristic, complemented
30#20252488C211yesmaximal, characteristic, complemented
31C47×#3381C211yesmaximal, characteristic, complemented
32#15689877—21no—
33#15689872—21no—
34#15689853C2211yescharacteristic, complemented
35#15689851C2211yescharacteristic, complemented
36#15689850C2211yescharacteristic, complemented
37#15689846C2211yescharacteristic, complemented
38#15689845—21no—
39#15689845C2211yescharacteristic, complemented
40#15689845C2211yescharacteristic, complemented
41#15689833C2211yescharacteristic
42#15689832C2211yescharacteristic
43#15689832C2211yescharacteristic
44#15689829C2211yescharacteristic
45#15689829C2211yescharacteristic
46#15689829C2211yescharacteristic, complemented
47#15689828—21no—
48#15689827—21no—
49#15689827—21no—
50#15689805—21no—
51D4×Dic94C2211yescharacteristic
52#15689788C2211yescharacteristic
53#15689786—21no—
54#15689753C2211yescharacteristic
55#15689750—21no—
56#15689750C2211yescharacteristic
57#15689748—21no—
58#15689748—21no—
59#15689747C2211yescharacteristic
60#15689745C2211yescharacteristic
61#15689736C2211yescharacteristic
62#15689732—21no—
63#15689732—21no—
64#15689731—21no—
65#15689731C2211yescharacteristic
66#15689679C2211yescharacteristic
67#15689677C2211yescharacteristic
68#15689677C2211yescharacteristic
69#15689658C2211yescharacteristic
70C2×#13094002—21no—
71C22⋊Q8×D47—21no—
72#15689595C2211yescharacteristic
73#15689595C2211yescharacteristic
74C4×D4×D47C2211yescharacteristic
75#15689533C2211yescharacteristic, complemented
76#15689531C2211yescharacteristic, complemented
77#15689531C2211yescharacteristic, complemented
78#15689529C2211yescharacteristic, complemented
79#15689527C2211yescharacteristic, complemented
80#15689524C2211yescharacteristic, complemented
81#15689522C2211yescharacteristic, complemented
82#15689520C2211yescharacteristic, complemented
83#15689520C2211yescharacteristic, complemented
84#15689493C2211yescharacteristic, complemented
85#15689490C2211yescharacteristic, complemented
86#15689485C2211yescharacteristic, complemented
87#15689484C2211yescharacteristic, complemented
88#15689480C2211yescharacteristic, complemented
89#15689479C2211yescharacteristic, complemented
90#15689478C2211yescharacteristic, complemented
91#15689478C2211yescharacteristic, complemented
92#15689474C2211yescharacteristic, complemented
93#15689472C2211yescharacteristic, complemented
94#15689472C2211yescharacteristic, complemented
95#15689472C2211yescharacteristic, complemented
96#15689467C2211yescharacteristic
97#15689467C2211yescharacteristic
98#15689466C2211yescharacteristic
99#15689466C2211yescharacteristic
100#15689463C2211yescharacteristic
101#15689462C2211yescharacteristic
102#15689460C2211yescharacteristic
103#15689455C2211yescharacteristic
104#15689452C2211yescharacteristic
105#15689450C2211yescharacteristic
106#15689449C2211yescharacteristic
107#15689443C2211yescharacteristic
108#15689433C2211yescharacteristic, complemented
109#15689433C2211yescharacteristic, complemented
110#15689431C2211yescharacteristic, complemented
111#15689431C2211yescharacteristic, complemented
112#15689430C2211yescharacteristic, complemented
113#15689430C2211yescharacteristic, complemented
114#15689429C2211yescharacteristic, complemented
115#15689427C2211yescharacteristic, complemented
116#15689425C2211yescharacteristic
117#15689422C2211yescharacteristic
118#15689422C2211yescharacteristic, complemented
119#15689420C2211yescharacteristic
120#15689420C2211yescharacteristic
121#15689420C2211yescharacteristic, complemented
122#15689417C2211yescharacteristic, complemented
123#15689417C2211yescharacteristic, complemented
124#15689414C2211yescharacteristic, complemented
125#15689412C2211yescharacteristic
126#15689412C2211yescharacteristic
127#15689412C2211yescharacteristic, complemented
128#15689412C2211yescharacteristic, complemented
129#15689411C2211yescharacteristic
130#15689410C2211yescharacteristic
131#15689408C2211yescharacteristic, complemented
132#15689407C2211yescharacteristic, complemented
133#15689407C2211yescharacteristic, complemented
134#15689407C2211yescharacteristic, complemented
135#15689405C2211yescharacteristic, complemented
136#15689402C2211yescharacteristic, complemented
137#15689401C2211yescharacteristic
138#15689341C2211yescharacteristic
139#15689340C2211yescharacteristic
140#15689339C2211yescharacteristic
141#15689339C2211yescharacteristic
142#15689338C2211yescharacteristic
143#15689338C2211yescharacteristic
144#15689329C2211yescharacteristic
145#15689328C2211yescharacteristic
146#15689327C2211yescharacteristic
147#15689327C2211yescharacteristic
148#15689326C2211yescharacteristic
149#15689326C2211yescharacteristic
150#15689275C2211yescharacteristic
151#15689275C2211yescharacteristic
152#15689272C2211yescharacteristic
153#15689258C2211yescharacteristic
154#15689254C2211yescharacteristic, complemented
155#15689253C2211yescharacteristic, complemented
156#15689252C2211yescharacteristic, complemented
157#15689252C2211yescharacteristic, complemented
158C8×Dic94C2211yescharacteristic, complemented
159C8×Dic94C2211yescharacteristic, complemented
160#15689247C2211yescharacteristic, complemented
161#15689233C2211yescharacteristic
162#15689232C2211yescharacteristic
163#15689223C2211yescharacteristic
164#15689222C2211yescharacteristic
165#15689222C2211yescharacteristic
166#15689221C2211yescharacteristic
167#15689221C2211yescharacteristic
168#15689220C2211yescharacteristic
169#15689214C2211yescharacteristic
170#15689214C2211yescharacteristic
171#15689214C2211yescharacteristic
172C4×#10625325C2211yescharacteristic
173C4×#10625325C2211yescharacteristic
174C4×#10625336C2211yescharacteristic
175#15689210C2211yescharacteristic
176#15689210C2211yescharacteristic
177C4×#10625335C2211yescharacteristic
178C4×D376C2211yescharacteristic
179#15689205C2211yescharacteristic
180#15689205C2211yescharacteristic
181#15689203C2211yescharacteristic
182#15689183C2211yescharacteristic
183#15689183C2211yescharacteristic
184#15689182C2211yescharacteristic
185#15689182C2211yescharacteristic
186#15689175C2211yescharacteristic
187#15689174C2211yescharacteristic
188C47×#557C2211yescharacteristic, complemented
189C47×#554C2211yescharacteristic
190C47×#499C2211yescharacteristic, complemented
191C47×#499C2211yescharacteristic, complemented
192C47×#498C2211yescharacteristic, complemented
193C47×#479C2211yescharacteristic, complemented
194C47×#479C2211yescharacteristic, complemented
195C47×#478C2211yescharacteristic
196C47×#478C2211yescharacteristic
197C47×#477C2211yescharacteristic, complemented
198C47×#474C2211yescharacteristic
199C8×Q8×C47C2211yescharacteristic, complemented
200C4×SD16×C47C2211yescharacteristic
201C4×SD16×C47C2211yescharacteristic
202C4×SD16×C47C2211yescharacteristic
203C22×Dic94—21no—
204C2×Q8×D47—21no—
205C2×D4×D47C2311yescharacteristic
206C22×C4×D47—21no—
207C2×#10625325C2311yescharacteristic
208C2×#10625325C2311yescharacteristic
209C2×#10625335C2311yescharacteristic
210C2×#10625335C2311yescharacteristic
211C2×#10625336C2311yescharacteristic
212C2×D376C2311yescharacteristic
213C2×#10625334C2311yescharacteristic
214#13094024C2311yescharacteristic
215#13094024C2311yescharacteristic
216#13094023—21no—
217#13094023—21no—
218#13094023—21no—
219#13094023D411yescharacteristic
220#13094023C2311yescharacteristic
221#13094023C2311yescharacteristic
222#13094023C2311yescharacteristic
223#13094023C2311yescharacteristic
224#13094023C2311yescharacteristic
225#13094023C2311yescharacteristic
226#13094022—21no—
227#13094022—21no—
228#13094022—21no—
229#13094022D411yescharacteristic
230#13094022C2311yescharacteristic
231#13094022C2311yescharacteristic
232#13094019—21no—
233#13094019—21no—
234#13094019—21no—
235#13094019—21no—
236#13094019—21no—
237#13094019—21no—
238#13094019—21no—
239#13094019—21no—
240#13094019—21no—
241#13094018—21no—
242#13094018—21no—
243#13094018—21no—
244#13094018—21no—
245#13094016—21no—
246#13094016—21no—
247#13094016C2311yescharacteristic
248#13094016C2311yescharacteristic
249#13094015—21no—
250#13094015—21no—
251#13094015C2311yescharacteristic
252#13094015C2311yescharacteristic
253#13094015C2311yescharacteristic
254#13094014—21no—
255#13094014—21no—
256#13094014—21no—
257#13094014—21no—
258#13094014—21no—
259#13094014—21no—
260#13094014—21no—
261#13094014—21no—
262#13094014D411yescharacteristic
263#13094014D411yescharacteristic
264#13094013—21no—
265#13094013C2311yescharacteristic
266#13094012—21no—
267#13094012C2311yescharacteristic
268#13094012C2311yescharacteristic
269#13094009—21no—
270#13094009—21no—
271#13094009—21no—
272#13094004—21no—
273#13094004—21no—
274#13094004—21no—
275#13094004—21no—
276#13094004D411yescharacteristic
277#13094004C2311yescharacteristic
278#13094004C2311yescharacteristic
279#13094003—21no—
280#13094003—21no—
281#13094003—21no—
282#13094002—21no—
283#13094002—21no—
284#13094002—21no—
285#13094002—21no—
286#13094002—21no—
287#13094002—21no—
288#13094002—21no—
289#13094002—21no—
290#13094002—21no—
291#13094002—21no—
292#13094002—21no—
293#13094002—21no—
294#13094002—21no—
295#13094002—21no—
296#13094002—21no—
297#13094002—21no—
298#13094002—21no—
299#13094002—21no—
300#13094002D411yescharacteristic
301#13094002D411yescharacteristic
302#13094001—21no—
303#13094001—21no—
304#13094001—21no—
305#13094001—21no—
306#13094001—21no—
307#13094001—21no—
308#13094000—21no—
309#13094000—21no—
310#13094000—21no—
311#13094000—21no—
312#13094000—21no—
313#13094000D411yescharacteristic
314#13094000C2311yescharacteristic
315#13093999C2311yescharacteristic
316C4×Dic94—21no—
317C4×Dic94—21no—
318C4×Dic94C2311yescharacteristic
319C4×Dic94C2311yescharacteristic
320C4×Dic94C2311yescharacteristic
321C4×Dic94C2311yescharacteristic
322C4×Dic94C2311yescharacteristic
323#13093989—21no—
324#13093989—21no—
325#13093989—21no—
326#13093989—21no—
327#13093989C2311yescharacteristic
328#13093989C2311yescharacteristic
329#13093989C2311yescharacteristic
330#13093989C2311yescharacteristic
331C4×D188C2311yescharacteristic
332C4×D188C2311yescharacteristic
333C4×D188C2311yescharacteristic
334C4×D188C2311yescharacteristic
335D4×Dic47C2311yescharacteristic
336D4×Dic47C2311yescharacteristic
337D4×Dic47C2311yescharacteristic
338#13093986—21no—
339#13093986C2311yescharacteristic
340#13093986C2311yescharacteristic
341#13093986C2311yescharacteristic
342#13093986C2311yescharacteristic
343#13093986C2311yescharacteristic
344C4×C22⋊D47—21no—
345C4×C22⋊D47—21no—
346C4×C22⋊D47—21no—
347(C22⋊D47)⋊C4—21no—
348(C22⋊D47)⋊C4—21no—
349(C22⋊D47)⋊C4—21no—
350#13093982—21no—
351#13093982—21no—
352#13093982C2311yescharacteristic
353#13093982C2311yescharacteristic
354#13093981—21no—
355#13093981—21no—
356#13093981—21no—
357#13093981C2311yescharacteristic
358#13093981C2311yescharacteristic
359C2×Dic47⋊C4—21no—
360C2×Dic47⋊C4—21no—
361C4⋊C4×D47—21no—
362C4⋊C4×D47—21no—
363C4⋊C4×D47—21no—
364C4⋊C4×D47—21no—
365C4⋊C4×D47C2311yescharacteristic
366C2×(C2×D47)⋊C4—21no—
367C2×(C2×D47)⋊C4—21no—
368C22⋊C4×D47—21no—
369C22⋊C4×D47—21no—
370C22⋊C4×D47—21no—
371C42×D47C2311yescharacteristic
372#13093958C2311yescharacteristic
373#13093957C2311yescharacteristic
374#13093957C2311yescharacteristic
375#13093957C2311yescharacteristic
376#13093957C2311yescharacteristic
377#13093957C2311yescharacteristic
378#13093956C2311yescharacteristic
379#13093956C2311yescharacteristic
380#13093955C2311yescharacteristic
381#13093955C2311yescharacteristic
382#13093955C2311yescharacteristic
383#13093955C2311yescharacteristic
384#13093955C2311yescharacteristic
385#13093955C2311yescharacteristic
386#13093955C2311yescharacteristic
387C4⋊(C47⋊C8)C2311yescharacteristic
388C4⋊(C47⋊C8)C2311yescharacteristic
389C4⋊(C47⋊C8)C2311yescharacteristic
390Dic47⋊C8C2311yescharacteristic
391Dic47⋊C8C2311yescharacteristic
392Dic47⋊C8C2311yescharacteristic
393Dic47⋊C8C2311yescharacteristic
394Dic47⋊C8C2311yescharacteristic
395Dic47⋊C8C2311yescharacteristic
396#13093949C2311yescharacteristic
397#13093949C2311yescharacteristic
398#13093949C2311yescharacteristic
399#13093949C2311yescharacteristic
400#13093949C2311yescharacteristic
401#13093949C2311yescharacteristic
402#13093948C2311yescharacteristic
403#13093948C2311yescharacteristic
404#13093948C2311yescharacteristic
405#13093947C2311yescharacteristic
406#13093947C2311yescharacteristic
407#13093947C2311yescharacteristic
408#13093947C2311yescharacteristic
409#13093947C2311yescharacteristic
410#13093947C2311yescharacteristic
411#13093946C2311yescharacteristic
412#13093946C2311yescharacteristic
413#13093946C2311yescharacteristic
414#13093946C2311yescharacteristic
415#13093945C2311yescharacteristic
416#13093944C2311yescharacteristic
417#13093944C2311yescharacteristic
418#13093944C2311yescharacteristic
419#13093944C2311yescharacteristic
420#13093944C2311yescharacteristic
421#13093944C2311yescharacteristic
422(C2×D47)⋊C8C2311yescharacteristic
423(C2×D47)⋊C8C2311yescharacteristic
424(C2×D47)⋊C8C2311yescharacteristic
425(C2×D47)⋊C8C2311yescharacteristic
426#13093935C2311yescharacteristic
427#13093935C2311yescharacteristic
428#13093934C2311yescharacteristic
429#13093934C2311yescharacteristic
430C4×C47⋊C8C2311yescharacteristic
431C8×Dic47C2311yescharacteristic
432C8×Dic47C2311yescharacteristic
433C8×Dic47C2311yescharacteristic
434C8×Dic47C2311yescharacteristic
435C2×SD16×C47C2311yescharacteristic
436C4⋊Q8×C47—21no—
437C4⋊Q8×C47C2311yescharacteristic
438C4⋊Q8×C47C2311yescharacteristic
439#125×C47—21no—
440#125×C47—21no—
441#125×C47C2311yescharacteristic
442#125×C47C2311yescharacteristic
443#125×C47C2311yescharacteristic
444#125×C47C2311yescharacteristic
445C22⋊Q8×C47—21no—
446C22⋊Q8×C47—21no—
447C22⋊Q8×C47—21no—
448C4×Q8×C47—21no—
449C4×Q8×C47C2311yescharacteristic
450C4×Q8×C47C2311yescharacteristic
451C4×Q8×C47C2311yescharacteristic
452C4×Q8×C47C2311yescharacteristic
453C4×D4×C47C2311yescharacteristic
454C4×D4×C47C2311yescharacteristic
455C4×D4×C47C2311yescharacteristic
456C2×C4⋊C4×C47—21no—
457#107×C47C2311yescharacteristic
458#107×C47C2311yescharacteristic
459#107×C47C2311yescharacteristic
460#107×C47C2311yescharacteristic
461#106×C47C2311yescharacteristic
462#106×C47C2311yescharacteristic
463#106×C47C2311yescharacteristic
464#106×C47C2311yescharacteristic
465#106×C47C2311yescharacteristic
466C4⋊C8×C47C2311yescharacteristic
467C4⋊C8×C47C2311yescharacteristic
468C4⋊C8×C47C2311yescharacteristic
469#103×C47C2311yescharacteristic
470#103×C47C2311yescharacteristic
471#103×C47C2311yescharacteristic
472#102×C47C2311yescharacteristic
473#102×C47C2311yescharacteristic
474#102×C47C2311yescharacteristic
475C4×C8×C47C2311yescharacteristic
476C4×C8×C47C2311yescharacteristic
477C4×C8×C47C2311yescharacteristic
478C23×D47—21no—
479C2×Q8×C47—21no—
480C2×Q8×C47—21no—
481C2×Q8×C47C2×D411yescharacteristic
482C2×Q8×C47C2411yescharacteristic
483C2×D4×C47C2411yescharacteristic
484C22×C4×C47—21no—
485C22×C4×C47—21no—
486C22×C4×C47—21no—
487C2×C22⋊D47—21no—
488C22×Dic47—21no—
489C22×Dic47—21no—
490C22×Dic47—21no—
491Q8×D47—82no—
492D4×D47—22no—
493D4×D47—22no—
494C2×D188—21no—
495C2×D188C2411yescharacteristic
496C2×D188C2411yescharacteristic
497C2×C4×D47—21no—
498C2×C4×D47—21no—
499C2×C4×D47—21no—
500C2×C4×D47—21no—
501C2×C4×D47—21no—
502C2×C4×D47—21no—
503C2×C4×D47—21no—
504C2×C4×D47—21no—
505C2×C4×D47—21no—
506C2×C4×D47—21no—
507C2×C4×D47—82no—
508C2×C4×D47C2×D411yescharacteristic
509C2×C4×D47C2×D411yescharacteristic
510C2×C4×D47C2411yescharacteristic
511C2×Dic94—21no—
512C2×Dic94—21no—
513C2×Dic94—21no—
514C2×Dic94—21no—
515C2×Dic94—21no—
516C2×Dic94—21no—
517C2×Dic94—21no—
518C2×Dic94—82no—
519C2×Dic94C2×D411yescharacteristic
520C2×Dic94C2×D411yescharacteristic
521C2×Dic94C2×D411yescharacteristic
522C2×Dic94C2411yescharacteristic
523C2×Dic94C2411yescharacteristic
524SD16×C47—22no—
525C2×C8×C47C2411yescharacteristic
526C2×C8×C47C2411yescharacteristic
527C2×C8×C47C2411yescharacteristic
528C2×C8×C47C2411yescharacteristic
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×C47C2411yescharacteristic
546C4⋊C4×C47C2411yescharacteristic
547C4⋊C4×C47C2411yescharacteristic
548C4⋊C4×C47C2411yescharacteristic
549C4⋊C4×C47C2411yescharacteristic
550C4⋊C4×C47C2411yescharacteristic
551C22⋊C4×C47—21no—
552C22⋊C4×C47—21no—
553C22⋊C4×C47—21no—
554C42×C47—21no—
555C42×C47—21no—
556C42×C47—21no—
557C42×C47C2411yescharacteristic
558C42×C47C2411yescharacteristic
559C42×C47C2411yescharacteristic
560C22⋊Dic47—21no—
561C22⋊Dic47—21no—
562C22⋊Dic47—21no—
563#10625336—22no—
564#10625335—22no—
565#10625335—22no—
566#10625334—22no—
567(C2×D47)⋊C4—21no—
568(C2×D47)⋊C4—21no—
569(C2×D47)⋊C4—21no—
570(C2×D47)⋊C4—21no—
571(C2×D47)⋊C4—21no—
572(C2×D47)⋊C4—21no—
573(C2×D47)⋊C4—21no—
574(C2×D47)⋊C4—21no—
575(C2×D47)⋊C4—21no—
576(C2×D47)⋊C4—21no—
577(C2×D47)⋊C4—21no—
578(C2×D47)⋊C4—21no—
579(C2×D47)⋊C4—21no—
580(C2×D47)⋊C4—21no—
581(C2×D47)⋊C4—21no—
582(C2×D47)⋊C4—21no—
583(C2×D47)⋊C4—21no—
584(C2×D47)⋊C4—21no—
585(C2×D47)⋊C4—21no—
586(C2×D47)⋊C4—21no—
587(C2×D47)⋊C4—21no—
588(C2×D47)⋊C4C2×D411yescharacteristic
589(C2×D47)⋊C4C2×D411yescharacteristic
590(C2×D47)⋊C4C2×D411yescharacteristic
591(C2×D47)⋊C4C2×D411yescharacteristic
592C4⋊Dic47—21no—
593C4⋊Dic47—21no—
594C4⋊Dic47—21no—
595C4⋊Dic47—21no—
596C4⋊Dic47—21no—
597C4⋊Dic47—21no—
598C4⋊Dic47—21no—
599C4⋊Dic47—21no—
600C4⋊Dic47C2×D411yescharacteristic
601C4⋊Dic47C2×D411yescharacteristic
602C4⋊Dic47C2×D411yescharacteristic
603C4⋊Dic47C2411yescharacteristic
604C4⋊Dic47C2411yescharacteristic
605C4⋊Dic47C2411yescharacteristic
606C4⋊Dic47C2411yescharacteristic
607Dic47⋊C4—21no—
608Dic47⋊C4—21no—
609Dic47⋊C4—21no—
610Dic47⋊C4—21no—
611Dic47⋊C4—21no—
612Dic47⋊C4—21no—
613Dic47⋊C4—21no—
614Dic47⋊C4—21no—
615Dic47⋊C4—21no—
616Dic47⋊C4—21no—
617Dic47⋊C4—21no—
618Dic47⋊C4—21no—
619Dic47⋊C4—21no—
620Dic47⋊C4—21no—
621Dic47⋊C4—21no—
622Dic47⋊C4—21no—
623Dic47⋊C4—21no—
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⋊C4C2×D411yescharacteristic
633Dic47⋊C4C2×D411yescharacteristic
634Dic47⋊C4C2×D411yescharacteristic
635Dic47⋊C4C2×D411yescharacteristic
636Dic47⋊C4C2×D411yescharacteristic
637Dic47⋊C4C2×D411yescharacteristic
638Dic47⋊C4C2×D411yescharacteristic
639Dic47⋊C4C2×D411yescharacteristic
640Dic47⋊C4C2×D411yescharacteristic
641Dic47⋊C4C2×D411yescharacteristic
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×Dic47C2×D411yescharacteristic
651C4×Dic47C2×D411yescharacteristic
652C4×Dic47C2411yescharacteristic
653C4×Dic47C2411yescharacteristic
654C4×Dic47C2411yescharacteristic
655C2×C47⋊C8C2411yescharacteristic
656C2×C47⋊C8C2411yescharacteristic
657C2×C47⋊C8C2411yescharacteristic
658C2×C47⋊C8C2411yescharacteristic
659D376—22no—
660#10625325—22no—
661#10625325—22no—
662C23×C47—21no—
663C22×D47—21no—
664C22×D47—24no—
665C22×D47—21no—
666C22×D47—81no—
667C22×D47—81no—
668C22×D47C22×D411yescharacteristic
669Q8×C47—21no—
670Q8×C47—21no—
671Q8×C47—41no—
672Q8×C47—81no—
673Q8×C47—81no—
674D4×C47—21no—
675D4×C472−1+412yes—
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—81no—
684C2×C4×C47—81no—
685C2×C4×C47—81no—
686C2×C4×C47C22×D411yescharacteristic
687C2×C4×C47C22×D411yescharacteristic
688C2×C4×C47C22×D411yescharacteristic
689C2×C4×C47C22×D411yescharacteristic
690C2×C4×C47C22×D411yescharacteristic
691C2×C4×C47C22×D411yescharacteristic
692C2×C4×C47C2511yescharacteristic
693C22⋊D47—24no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—42no—
701C2×Dic47—81no—
702C2×Dic47—81no—
703C2×Dic47C22×D411yescharacteristic
704C2×Dic47C22×D411yescharacteristic
705C2×Dic47C22×D411yescharacteristic
706C2×Dic47C22×D411yescharacteristic
707C2×Dic47C22×D411yescharacteristic
708C2×Dic47C22×D411yescharacteristic
709C2×Dic47C22×D411yescharacteristic
710D188—21no—
711D188—21no—
712D188—21no—
713D188—81no—
714D1882−1+412yes—
715C4×D47—21no—
716C4×D47—21no—
717C4×D47—22no—
718C4×D47—41no—
719C4×D47—42no—
720C4×D47—42no—
721C4×D47—81no—
722C4×D47—81no—
723C4×D47—81no—
724C4×D47—81no—
725C4×D47—81no—
726C4×D47—81no—
727C4×D47—81no—
728C4×D47—81no—
729Dic94—22no—
730Dic94—22no—
731Dic94—21no—
732Dic94—21no—
733Dic94—21no—
734Dic94—21no—
735Dic94—41no—
736Dic94—42no—
737Dic94—81no—
738Dic94—81no—
739Dic94—81no—
740Dic94—81no—
741Dic94—81no—
742Dic94—81no—
743C8×C47—21no—
744C8×C47—21no—
745C8×C47—21no—
746C8×C47—21no—
747C47⋊C8—21no—
748C47⋊C8—21no—
749C47⋊C8—21no—
750C47⋊C8—21no—
751#61864—471nomaximal, Sylow
752C22×C47—22no—
753C22×C47—41no—
754C22×C47—41no—
755C22×C47C23×D411yescharacteristic
756C2×D47—21no—
757C2×D47—21no—
758C2×D47—22no—
759C2×D47—21no—
760C2×D47—41no—
761C2×D47—41no—
762C2×D47—41no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47—84no—
766C4×C47—21no—
767C4×C47—21no—
768C4×C47—21no—
769C4×C47—21no—
770C4×C47—21no—
771C4×C47—21no—
772C4×C47—41no—
773C4×C47—41no—
774C4×C47—41no—
775C4×C47—41no—
776C4×C47—41no—
777C4×C47—41no—
778C4×C47—41no—
779C4×C47C2×2−1+411yescharacteristic
780C4×C47C2×2−1+411yescharacteristic
781Dic47—21no—
782Dic47—21no—
783Dic47—21no—
784Dic47—21no—
785Dic47—21no—
786Dic47—21no—
787Dic47—41no—
788Dic47—41no—
789Dic47—41no—
790Dic47—41no—
791Dic47—41no—
792Dic47—41no—
793Dic47#57712yes—
794#3555—471no—
795#3501—471no—
796#3388—471no—
797#3388—471no—
798#3385—471no—
799#3384—471no—
800#3381—471no—
801#3381D4711yescharacteristic, complemented
802#3380—471no—
803Q8×SD16—471no—
804#3376—471no—
805#3376—471no—
806#3372—471no—
807#3367—471no—
808#3360—471no—
809#3360—471no—
810#3360—471no—
811#3359—471no—
812#3244—471no—
813#3244—471no—
814#3242—471no—
815#3242—471no—
816#3233—471no—
817#3231—471no—
818#3123—471no—
819#3123—471no—
820#3118—471no—
821#3118—471no—
822#3105—471no—
823#3101—471no—
824#2986—471no—
825C2×C47—42no—
826C2×C47#348611yescharacteristic
827C2×C47C2×#57711yescharacteristic
828C2×C47#358411yescharacteristic
829D47—41no—
830D47—42no—
831D47—81no—
832#563—941no—
833#563—941no—
834Q82—471no—
835#557—471no—
836#557—471no—
837#557C2×D4711yescharacteristic, complemented
838#556—471no—
839#556—471no—
840#556—471no—
841#556—941no—
842#554—471no—
843#554—471no—
844#554—471no—
845#554—471no—
846#554—471no—
847#554—471no—
848#554—941no—
849#554—941no—
850#554—941no—
851#554C2×D4711yescharacteristic
852#552—941no—
853D4×Q8—471no—
854D4×Q8—471no—
855D4×Q8—941no—
856#544—471no—
857#544—471no—
858#544—941no—
859#543—941no—
860#543—941no—
861#542—471no—
862#542—471no—
863#541—471no—
864#541—471no—
865#541—941no—
866#541—941no—
867#541—941no—
868#533—471no—
869#533—471no—
870#533—471no—
871#529—471no—
872C2×C22⋊Q8—941no—
873C2×C22⋊Q8—941no—
874#518—471no—
875#518—471no—
876C2×C4×D4—471no—
877#501—471no—
878#501—471no—
879#501—471no—
880#501—471no—
881#500—471no—
882#499—471no—
883#499—471no—
884#499C2×D4711yescharacteristic, complemented
885#499C2×D4711yescharacteristic, complemented
886#498—471no—
887#498—471no—
888#498C2×D4711yescharacteristic, complemented
889#491—471no—
890#491—471no—
891#489—471no—
892#489—471no—
893#488—471no—
894#488—471no—
895#488—471no—
896#488—471no—
897#487—471no—
898#487—471no—
899#487—471no—
900#487—471no—
901#485—471no—
902#485—471no—
903#485—471no—
904#485—471no—
905#485—471no—
906#485—471no—
907#484—471no—
908#483—471no—
909#483—471no—
910#482—471no—
911#482—471no—
912#481—471no—
913#479—471no—
914#479—471no—
915#479—471no—
916#479—471no—
917#479—471no—
918#479—471no—
919#479—471no—
920#479—471no—
921#479C2×D4711yescharacteristic, complemented
922#479C2×D4711yescharacteristic, complemented
923#478—471no—
924#478—471no—
925#478—471no—
926#478—471no—
927#478—471no—
928#478—471no—
929#478C2×D4711yescharacteristic
930#478C2×D4711yescharacteristic
931#477—471no—
932#477—471no—
933#477C2×D4711yescharacteristic, complemented
934#476—471no—
935#476—471no—
936#476—471no—
937#476—471no—
938#476—471no—
939#476—471no—
940#476—471no—
941#475—471no—
942#475—471no—
943#475—471no—
944#475—471no—
945#475—471no—
946#474—471no—
947#474—471no—
948#474C2×D4711yescharacteristic
949#463—471no—
950#463—471no—
951#463—471no—
952#463—471no—
953#463—471no—
954#463—471no—
955#461—471no—
956#461—471no—
957#461—471no—
958#461—471no—
959#461—471no—
960#461—471no—
961#450—471no—
962#450—471no—
963#450—471no—
964#447—471no—
965#446—471no—
966#446—471no—
967#446—471no—
968#446—471no—
969C8×Q8—471no—
970C8×Q8—471no—
971C8×Q8—471no—
972C8×Q8C2×D4711yescharacteristic, complemented
973#442—471no—
974#442—471no—
975#440—471no—
976#440—471no—
977#440—471no—
978#440—471no—
979#440—471no—
980#440—471no—
981C4×SD16—471no—
982C4×SD16—471no—
983C4×SD16—471no—
984C4×SD16—471no—
985C4×SD16—471no—
986C4×SD16—471no—
987C4×SD16—471no—
988C4×SD16—471no—
989C4×SD16—471no—
990C4×SD16C2×D4711yescharacteristic
991C4×SD16C2×D4711yescharacteristic
992C4×SD16C2×D4711yescharacteristic
993C4×D8—471no—
994C4×D8—471no—
995C4×D8—471no—
996C4×D8—471no—
997#433—471no—
998#433—471no—
999#433—471no—
1000#433—471no—
1001#431—471no—
1002#431—471no—
1003C47#6186411yescharacteristic, complemented, Sylow
1004C22×Q8—941no—
1005C22×Q8—941no—
1006C22×D4—471no—
1007C23×C4—941no—
1008C2×SD16—471no—
1009C2×SD16—471no—
1010C2×SD16—471no—
1011C2×SD16—471no—
1012C2×SD16—471no—
1013C2×SD16C22×D4711yescharacteristic
1014C2×D8—471no—
1015C2×D8—471no—
1016C4⋊Q8—21no—
1017C4⋊Q8—471no—
1018C4⋊Q8—471no—
1019C4⋊Q8—471no—
1020C4⋊Q8—471no—
1021C4⋊Q8—471no—
1022C4⋊Q8—471no—
1023C4⋊Q8—471no—
1024C4⋊Q8—471no—
1025C4⋊Q8—471no—
1026C4⋊Q8—471no—
1027C4⋊Q8—471no—
1028C4⋊Q8—471no—
1029C4⋊Q8—941no—
1030C4⋊Q8—941no—
1031C4⋊Q8—941no—
1032C4⋊Q8—941no—
1033C4⋊Q8—941no—
1034C4⋊Q8—941no—
1035C4⋊Q8C22×D4711yescharacteristic
1036C4⋊Q8C22×D4711yescharacteristic
1037#126—941no—
1038#126—941no—
1039#126—941no—
1040#126—941no—
1041#126—941no—
1042#126—941no—
1043#126—941no—
1044#126—941no—
1045#126—941no—
1046#126—941no—
1047#126—941no—
1048#126—941no—
1049#126—941no—
1050#125—21no—
1051#125—21no—
1052#125—471no—
1053#125—471no—
1054#125—471no—
1055#125—471no—
1056#125—471no—
1057#125—471no—
1058#125—471no—
1059#125—941no—
1060#125—941no—
1061#125—941no—
1062#125—941no—
1063#125—941no—
1064#125—941no—
1065#125—941no—
1066#125—941no—
1067#125—941no—
1068#125—941no—
1069#125—941no—
1070#125—941no—
1071#125C22×D4711yescharacteristic
1072#125C22×D4711yescharacteristic
1073#125C22×D4711yescharacteristic
1074#125C22×D4711yescharacteristic
1075#124—471no—
1076#124—471no—
1077#124—471no—
1078#124—941no—
1079#124—941no—
1080#123—941no—
1081#123—941no—
1082#123—941no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—471no—
1087C22⋊Q8—471no—
1088C22⋊Q8—471no—
1089C22⋊Q8—471no—
1090C22⋊Q8—471no—
1091C22⋊Q8—471no—
1092C22⋊Q8—471no—
1093C22⋊Q8—941no—
1094C22⋊Q8—941no—
1095C22⋊Q8—941no—
1096C22⋊Q8—941no—
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⋊Q8—941no—
1107C22⋊Q8—941no—
1108C22⋊Q8—941no—
1109C22⋊Q8—941no—
1110C22⋊Q8—941no—
1111C22⋊Q8—941no—
1112C22⋊Q8—941no—
1113C22⋊Q8—941no—
1114C22⋊Q8—941no—
1115C22⋊Q8—941no—
1116C22⋊Q8—941no—
1117C22⋊Q8—941no—
1118C22⋊Q8—941no—
1119C22⋊Q8—941no—
1120C22⋊Q8—941no—
1121C22⋊Q8—941no—
1122C22⋊Q8—941no—
1123C22⋊Q8—941no—
1124C22⋊Q8—941no—
1125C22⋊Q8—941no—
1126C22⋊Q8—941no—
1127C22⋊Q8—941no—
1128C22⋊Q8—941no—
1129#121—471no—
1130C4×Q8—21no—
1131C4×Q8—471no—
1132C4×Q8—471no—
1133C4×Q8—471no—
1134C4×Q8—471no—
1135C4×Q8—471no—
1136C4×Q8—471no—
1137C4×Q8—471no—
1138C4×Q8—471no—
1139C4×Q8—471no—
1140C4×Q8—941no—
1141C4×Q8—941no—
1142C4×Q8—941no—
1143C4×Q8—941no—
1144C4×Q8—941no—
1145C4×Q8—941no—
1146C4×Q8C22×D4711yescharacteristic
1147C4×Q8C22×D4711yescharacteristic
1148C4×Q8C22×D4711yescharacteristic
1149C4×Q8C22×D4711yescharacteristic
1150C4×D4—471no—
1151C4×D4—471no—
1152C4×D4—471no—
1153C4×D4—471no—
1154C4×D4—471no—
1155C4×D4—471no—
1156C4×D4—471no—
1157C4×D4—471no—
1158C4×D4—471no—
1159C4×D4—471no—
1160C4×D4—471no—
1161C4×D4—471no—
1162C4×D4—941no—
1163C4×D4—941no—
1164C4×D4—941no—
1165C4×D4—941no—
1166C4×D4—941no—
1167C4×D4—941no—
1168C4×D4—941no—
1169C4×D4C22×D4711yescharacteristic
1170C4×D4C22×D4711yescharacteristic
1171C4×D4C22×D4711yescharacteristic
1172#117—471no—
1173#117—471no—
1174#117—471no—
1175#117—471no—
1176#117—941no—
1177#117—941no—
1178#117—941no—
1179#117—941no—
1180#117—941no—
1181C2×C4⋊C4—21no—
1182C2×C4⋊C4—471no—
1183C2×C4⋊C4—941no—
1184C2×C4⋊C4—941no—
1185C2×C4⋊C4—941no—
1186C2×C4⋊C4—941no—
1187C2×C4⋊C4—941no—
1188C2×C4⋊C4—941no—
1189C2×C22⋊C4—941no—
1190C2×C22⋊C4—941no—
1191C2×C22⋊C4—941no—
1192C2×C22⋊C4—941no—
1193C2×C22⋊C4—941no—
1194C2×C42—471no—
1195#107—471no—
1196#107—471no—
1197#107—471no—
1198#107—471no—
1199#107—471no—
1200#107—471no—
1201#107C22×D4711yescharacteristic
1202#107C22×D4711yescharacteristic
1203#107C22×D4711yescharacteristic
1204#107C22×D4711yescharacteristic
1205#106—471no—
1206#106—471no—
1207#106—471no—
1208#106—471no—
1209#106—471no—
1210#106—471no—
1211#106—471no—
1212#106—471no—
1213#106—471no—
1214#106C22×D4711yescharacteristic
1215#106C22×D4711yescharacteristic
1216#106C22×D4711yescharacteristic
1217#106C22×D4711yescharacteristic
1218#106C22×D4711yescharacteristic
1219C4⋊C8—471no—
1220C4⋊C8—471no—
1221C4⋊C8—471no—
1222C4⋊C8—471no—
1223C4⋊C8—471no—
1224C4⋊C8—471no—
1225C4⋊C8—471no—
1226C4⋊C8—471no—
1227C4⋊C8—471no—
1228C4⋊C8C22×D4711yescharacteristic
1229C4⋊C8C22×D4711yescharacteristic
1230C4⋊C8C22×D4711yescharacteristic
1231#103—471no—
1232#103—471no—
1233#103—471no—
1234#103—471no—
1235#103—471no—
1236#103—471no—
1237#103—471no—
1238#103—471no—
1239#103—471no—
1240#103—471no—
1241#103—471no—
1242#103—471no—
1243#103—471no—
1244#103—471no—
1245#103—471no—
1246#103C22×D4711yescharacteristic
1247#103C22×D4711yescharacteristic
1248#103C22×D4711yescharacteristic
1249#102—471no—
1250#102—471no—
1251#102—471no—
1252#102—471no—
1253#102—471no—
1254#102—471no—
1255#102—471no—
1256#102—471no—
1257#102—471no—
1258#102—471no—
1259#102—471no—
1260#102C22×D4711yescharacteristic
1261#102C22×D4711yescharacteristic
1262#102C22×D4711yescharacteristic
1263C22⋊C8—471no—
1264C22⋊C8—471no—
1265C22⋊C8—471no—
1266C22⋊C8—471no—
1267#97—471no—
1268#97—471no—
1269#97—471no—
1270#97—471no—
1271C4×C8—471no—
1272C4×C8—471no—
1273C4×C8—471no—
1274C4×C8—471no—
1275C4×C8—471no—
1276C4×C8C22×D4711yescharacteristic
1277C4×C8C22×D4711yescharacteristic
1278C4×C8C22×D4711yescharacteristic
1279C24—941no—
1280C2×Q8—21no—
1281C2×Q8—21no—
1282C2×Q8—471no—
1283C2×Q8—471no—
1284C2×Q8—471no—
1285C2×Q8—471no—
1286C2×Q8—471no—
1287C2×Q8—941no—
1288C2×Q8—941no—
1289C2×Q8—941no—
1290C2×Q8—941no—
1291C2×Q8—941no—
1292C2×Q8—941no—
1293C2×Q8—941no—
1294C2×Q8—3762no—
1295C2×Q8—3762no—
1296C2×Q8D4×D4711yescharacteristic
1297C2×Q8C23×D4711yescharacteristic
1298C2×D4—471no—
1299C2×D4—471no—
1300C2×D4—941no—
1301C2×D4—941no—
1302C2×D4—942no—
1303C2×D4—942no—
1304C2×D4C23×D4711yescharacteristic
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—471no—
1309C22×C4—471no—
1310C22×C4—471no—
1311C22×C4—941no—
1312C22×C4—941no—
1313C22×C4—941no—
1314C22×C4—941no—
1315C22×C4—941no—
1316C22×C4—941no—
1317C22×C4—941no—
1318C22×C4—941no—
1319C22×C4—941no—
1320C22×C4—941no—
1321C22×C4—941no—
1322C22×C4—941no—
1323C22×C4—941no—
1324C22×C4—3762no—
1325SD16—22no—
1326SD16—942no—
1327SD16—942no—
1328SD16—942no—
1329SD16—942no—
1330SD16—942no—
1331D8—942no—
1332D8—942no—
1333C2×C8—471no—
1334C2×C8—471no—
1335C2×C8—471no—
1336C2×C8—471no—
1337C2×C8C23×D4711yescharacteristic
1338C2×C8C23×D4711yescharacteristic
1339C2×C8C23×D4711yescharacteristic
1340C2×C8C23×D4711yescharacteristic
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—471no—
1355C4⋊C4—471no—
1356C4⋊C4—471no—
1357C4⋊C4—471no—
1358C4⋊C4—471no—
1359C4⋊C4—471no—
1360C4⋊C4—471no—
1361C4⋊C4—471no—
1362C4⋊C4—471no—
1363C4⋊C4—471no—
1364C4⋊C4—471no—
1365C4⋊C4—471no—
1366C4⋊C4—471no—
1367C4⋊C4—471no—
1368C4⋊C4—471no—
1369C4⋊C4—471no—
1370C4⋊C4—471no—
1371C4⋊C4—941no—
1372C4⋊C4—941no—
1373C4⋊C4—941no—
1374C4⋊C4—941no—
1375C4⋊C4—941no—
1376C4⋊C4—941no—
1377C4⋊C4—941no—
1378C4⋊C4—941no—
1379C4⋊C4—941no—
1380C4⋊C4—941no—
1381C4⋊C4—941no—
1382C4⋊C4—941no—
1383C4⋊C4—941no—
1384C4⋊C4—941no—
1385C4⋊C4—941no—
1386C4⋊C4—941no—
1387C4⋊C4—941no—
1388C4⋊C4—941no—
1389C4⋊C4—941no—
1390C4⋊C4—941no—
1391C4⋊C4—941no—
1392C4⋊C4—941no—
1393C4⋊C4—941no—
1394C4⋊C4—941no—
1395C4⋊C4—941no—
1396C4⋊C4—941no—
1397C4⋊C4—941no—
1398C4⋊C4—941no—
1399C4⋊C4—941no—
1400C4⋊C4—941no—
1401C4⋊C4—941no—
1402C4⋊C4—941no—
1403C4⋊C4—941no—
1404C4⋊C4D4×D4711yescharacteristic
1405C4⋊C4D4×D4711yescharacteristic
1406C4⋊C4D4×D4711yescharacteristic
1407C4⋊C4C23×D4711yescharacteristic
1408C4⋊C4C23×D4711yescharacteristic
1409C4⋊C4C23×D4711yescharacteristic
1410C4⋊C4C23×D4711yescharacteristic
1411C4⋊C4C23×D4711yescharacteristic
1412C4⋊C4C23×D4711yescharacteristic
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—471no—
1417C22⋊C4—471no—
1418C22⋊C4—471no—
1419C22⋊C4—471no—
1420C22⋊C4—941no—
1421C22⋊C4—941no—
1422C22⋊C4—941no—
1423C22⋊C4—941no—
1424C22⋊C4—941no—
1425C22⋊C4—941no—
1426C22⋊C4—941no—
1427C22⋊C4—941no—
1428C22⋊C4—941no—
1429C22⋊C4—941no—
1430C22⋊C4—941no—
1431C22⋊C4—941no—
1432C22⋊C4—941no—
1433C22⋊C4—941no—
1434C22⋊C4—941no—
1435C22⋊C4—941no—
1436C22⋊C4—941no—
1437C22⋊C4—941no—
1438C22⋊C4—941no—
1439C22⋊C4—941no—
1440C22⋊C4—941no—
1441C22⋊C4—941no—
1442C22⋊C4—941no—
1443C22⋊C4—941no—
1444C42—21no—
1445C42—21no—
1446C42—21no—
1447C42—471no—
1448C42—471no—
1449C42—471no—
1450C42—471no—
1451C42—471no—
1452C42—941no—
1453C42—941no—
1454C42—941no—
1455C42—941no—
1456C42—941no—
1457C42—941no—
1458C42—941no—
1459C42—941no—
1460C42C23×D4711yescharacteristic
1461C42C23×D4711yescharacteristic
1462C42C23×D4711yescharacteristic
1463C23—21no—
1464C23—471no—
1465C23—944no—
1466C23—941no—
1467C23—941no—
1468C23—3761no—
1469C23—3761no—
1470Q8—21no—
1471Q8—21no—
1472Q8—41no—
1473Q8—81no—
1474Q8—81no—
1475Q8—942no—
1476Q8—942no—
1477Q8—941no—
1478Q8—941no—
1479Q8—941no—
1480Q8—941no—
1481Q8—3761no—
1482Q8—3761no—
1483Q8—3761no—
1484Q8—3761no—
1485Q8—3761no—
1486Q8—3761no—
1487Q8—1881no—
1488Q8—1882no—
1489D4—21no—
1490D4—472no—
1491D4—944no—
1492D4—941no—
1493D4—941no—
1494D4—941no—
1495D4—3761no—
1496D4#1309407212yes—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—81no—
1505C2×C4—81no—
1506C2×C4—81no—
1507C2×C4—471no—
1508C2×C4—471no—
1509C2×C4—471no—
1510C2×C4—471no—
1511C2×C4—471no—
1512C2×C4—471no—
1513C2×C4—471no—
1514C2×C4—942no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—3761no—
1524C2×C4—3761no—
1525C2×C4—3761no—
1526C2×C4—3761no—
1527C2×C4—3761no—
1528C2×C4—3761no—
1529C2×C4—3761no—
1530C2×C4—3761no—
1531C2×C4—3761no—
1532C2×C4—3761no—
1533C2×C4—1881no—
1534C2×C4—1882no—
1535C2×C4—1882no—
1536C2×C4—1882no—
1537C2×C4C2×D4×D4711yescharacteristic
1538C2×C4C2×D4×D4711yescharacteristic
1539C2×C4C2×D4×D4711yescharacteristic
1540C2×C4C2×D4×D4711yescharacteristic
1541C2×C4C2×D4×D4711yescharacteristic
1542C2×C4C2×D4×D4711yescharacteristic
1543C2×C4C24×D4711yescharacteristic
1544C8—21no—
1545C8—21no—
1546C8—21no—
1547C8—21no—
1548C8—941no—
1549C8—941no—
1550C8—941no—
1551C8—941no—
1552C22—22no—
1553C22—41no—
1554C22—41no—
1555C22—941no—
1556C22—942no—
1557C22—941no—
1558C22—941no—
1559C22—3764no—
1560C22—1881no—
1561C22—1881no—
1562C22—1881no—
1563C22—1881no—
1564C22—1881no—
1565C22C22×D4×D4711yescharacteristic
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—21no—
1570C4—21no—
1571C4—21no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—472no—
1580C4—941no—
1581C4—941no—
1582C4—941no—
1583C4—941no—
1584C4—941no—
1585C4—941no—
1586C4—1881no—
1587C4—1881no—
1588C4—1881no—
1589C4—1881no—
1590C4—1881no—
1591C4—1881no—
1592C42−1+4×D4711yescharacteristic
1593C4C2×#1309407211yescharacteristic
1594C2—42no—
1595C2—3761no—
1596C2—1881no—
1597C2—1882no—
1598C2#2025703811yescharacteristic
1599C2#577×D4711yescharacteristic
1600C2#2025815711yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3381C2
socleC22×C47C23×D4
prime radical#15689258C22
hypercenter#3381D47
hypocenterC47#61864
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3381

Complements

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

NH ≅ G/Ntype
1. #20257868C2semidirect
2. #20257187C2semidirect
3. #20256339C2semidirect
4. #20256327C2semidirect
5. #20256293C2semidirect
6. #20256290C2semidirect
7. #20256258C2semidirect
8. #20256252C2semidirect
9. #20256245C2semidirect
10. #20256215C2semidirect
11. #20256211C2semidirect
12. #20256172C2semidirect
13. #20256109C2semidirect
14. #20256040C2semidirect
15. #20256039C2semidirect
16. #20256038C2semidirect
17. #20256028C2semidirect
18. #20254693C2semidirect
19. #20254689C2semidirect
20. #20254659C2semidirect
21. #20254655C2semidirect
22. #20254568C2semidirect
23. #20254546C2semidirect
24. #20253642C2semidirect
25. #20253637C2semidirect
29. #20253394C2semidirect
30. #20252488C2semidirect
31. C47×#3381C2semidirect
34. #15689853C22semidirect
35. #15689851C22semidirect
36. #15689850C22semidirect
37. #15689846C22semidirect
39. #15689845C22semidirect
40. #15689845C22semidirect
46. #15689829C22semidirect
75. #15689533C22semidirect
76. #15689531C22semidirect
77. #15689531C22semidirect
78. #15689529C22semidirect
79. #15689527C22semidirect
80. #15689524C22semidirect
81. #15689522C22semidirect
82. #15689520C22semidirect
83. #15689520C22semidirect
84. #15689493C22semidirect
85. #15689490C22semidirect
86. #15689485C22semidirect
87. #15689484C22semidirect
88. #15689480C22semidirect
89. #15689479C22semidirect
90. #15689478C22semidirect
91. #15689478C22semidirect
92. #15689474C22semidirect
93. #15689472C22semidirect
94. #15689472C22semidirect
95. #15689472C22semidirect
108. #15689433C22semidirect
109. #15689433C22semidirect
110. #15689431C22semidirect
111. #15689431C22semidirect
112. #15689430C22semidirect
113. #15689430C22semidirect
114. #15689429C22semidirect
115. #15689427C22semidirect
118. #15689422C22semidirect
121. #15689420C22semidirect
122. #15689417C22semidirect
123. #15689417C22semidirect
124. #15689414C22semidirect
127. #15689412C22semidirect
128. #15689412C22semidirect
131. #15689408C22semidirect
132. #15689407C22semidirect
133. #15689407C22semidirect
134. #15689407C22semidirect
135. #15689405C22semidirect
136. #15689402C22semidirect
154. #15689254C22semidirect
155. #15689253C22semidirect
156. #15689252C22semidirect
157. #15689252C22semidirect
158. C8×Dic94C22semidirect
159. C8×Dic94C22semidirect
160. #15689247C22semidirect
188. C47×#557C22semidirect
190. C47×#499C22semidirect
191. C47×#499C22semidirect
192. C47×#498C22semidirect
193. C47×#479C22semidirect
194. C47×#479C22semidirect
197. C47×#477C22semidirect
199. C8×Q8×C47C22semidirect
801. #3381D47semidirect
837. #557C2×D47semidirect
884. #499C2×D47semidirect
885. #499C2×D47semidirect
888. #498C2×D47semidirect
921. #479C2×D47semidirect
922. #479C2×D47semidirect
933. #477C2×D47semidirect
972. C8×Q8C2×D47semidirect
1003. C47#61864semidirect

Maximal subgroups

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

subgroupindex
#202578682
#202571872
#202563392
#202563272
#202562932
#202562902
#202562582
#202562522
#202562452
#202562152
#202562112
#202561722
#202561092
#202560402
#202560392
#202560382
#202560282
#202546932
#202546892
#202546592
#202546552
#202545682
#202545462
#202536422
#202536372
#202535792
#202535782
#202534402
#202533942
#202524882
C47×#33812
#6186447