Finite Group Databasebeta

← #27110081

Subgroups — #27110081

Order 12032.

1860 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257968C211yesmaximal, characteristic, complemented
2#20257328C211yesmaximal, characteristic, complemented
3#20256450C211yesmaximal, characteristic, complemented
4#20256400C211yesmaximal, characteristic, complemented
5#20256137C211yesmaximal, characteristic, complemented
6#20256038C211yesmaximal, characteristic, complemented
7#20255691C211yesmaximal, characteristic, complemented
8#20255659C211yesmaximal, characteristic, complemented
9#20255646C211yesmaximal, characteristic, complemented
10#20255517C211yesmaximal, characteristic, complemented
11#20255352C211yesmaximal, characteristic, complemented
12#20255243C211yesmaximal, characteristic, complemented
13#20255097C211yesmaximal, characteristic, complemented
14#20255006C211yesmaximal, characteristic, complemented
15#20254999C211yesmaximal, characteristic, complemented
16#20254998C211yesmaximal, characteristic, complemented
17#20254911C211yesmaximal, characteristic, complemented
18#20254881C211yesmaximal, characteristic, complemented
19#20254836C211yesmaximal, characteristic, complemented
20#20254803C211yesmaximal, characteristic, complemented
21#20254784C211yesmaximal, characteristic, complemented
22#20254494C211yesmaximal, characteristic, complemented
23#20254435C211yesmaximal, characteristic, complemented
24#20254366C211yesmaximal, characteristic, complemented
25#20253633C211yesmaximal, characteristic, complemented
26#20253607C211yesmaximal, characteristic, complemented
27#20252928C211yesmaximal, characteristic, complemented
28#20252898C211yesmaximal, characteristic, complemented
29#20252852C211yesmaximal, characteristic, complemented
30#20252539C211yesmaximal, characteristic, complemented
31C47×#3105C211yesmaximal, characteristic, complemented
32C2×#13094050C2211yescharacteristic
33C2×#13094050C2211yescharacteristic, complemented
34C2×#13094048C2211yescharacteristic
35C2×#13094048C2211yescharacteristic
36C2×#13094045C2211yescharacteristic
37C2×SD16×D47C2211yescharacteristic, complemented
38#15689870—21no—
39#15689863—21no—
40#15689856C2211yescharacteristic, complemented
41#15689856C2211yescharacteristic, complemented
42#15689845C2211yescharacteristic, complemented
43#15689832C2211yescharacteristic, complemented
44#15689823C2211yescharacteristic
45#15689822—21no—
46#15689817—21no—
47#15689808C2211yescharacteristic, complemented
48#15689802—21no—
49#15689799—21no—
50#15689797—21no—
51#15689791C2211yescharacteristic
52#15689785C2211yescharacteristic, complemented
53#15689783C2211yescharacteristic
54#15689775C2211yescharacteristic, complemented
55#15689774C2211yescharacteristic
56#15689770C2211yescharacteristic, complemented
57#15689768C2211yescharacteristic
58#15689768C2211yescharacteristic, complemented
59#15689767C2211yescharacteristic
60#15689763—21no—
61D4×C22⋊D47C2211yescharacteristic, complemented
62#15689738C2211yescharacteristic, complemented
63#15689736C2211yescharacteristic, complemented
64#15689729C2211yescharacteristic, complemented
65#15689724—21no—
66#15689724C2211yescharacteristic
67#15689715—21no—
68#15689714—21no—
69#15689712—21no—
70#15689706—21no—
71#15689706—21no—
72#15689693C2211yescharacteristic, complemented
73#15689691C2211yescharacteristic, complemented
74#15689673C2211yescharacteristic, complemented
75#15689657C2211yescharacteristic
76#15689657C2211yescharacteristic, complemented
77#15689634—21no—
78C2×#13094007—21no—
79#15689602C2211yescharacteristic
80#15689595C2211yescharacteristic, complemented
81#15689514C2211yescharacteristic, complemented
82#15689509C2211yescharacteristic
83#15689507C2211yescharacteristic, complemented
84#15689507C2211yescharacteristic, complemented
85#15689506C2211yescharacteristic, complemented
86#15689498C2211yescharacteristic
87#15689486C2211yescharacteristic, complemented
88#15689481C2211yescharacteristic, complemented
89#15689479C2211yescharacteristic, complemented
90#15689478C2211yescharacteristic, complemented
91#15689478C2211yescharacteristic, complemented
92#15689472C2211yescharacteristic, complemented
93#15689460C2211yescharacteristic, complemented
94#15689455C2211yescharacteristic, complemented
95#15689450C2211yescharacteristic, complemented
96#15689449C2211yescharacteristic, complemented
97#15689433C2211yescharacteristic, complemented
98#15689430C2211yescharacteristic, complemented
99#15689429C2211yescharacteristic, complemented
100#15689427C2211yescharacteristic, complemented
101#15689423C2211yescharacteristic, complemented
102#15689420C2211yescharacteristic, complemented
103#15689412C2211yescharacteristic, complemented
104#15689402C2211yescharacteristic, complemented
105#15689379C2211yescharacteristic, complemented
106#15689375C2211yescharacteristic, complemented
107#15689374C2211yescharacteristic
108#15689371C2211yescharacteristic, complemented
109#15689370C2211yescharacteristic, complemented
110#15689370C2211yescharacteristic, complemented
111#15689368C2211yescharacteristic, complemented
112#15689367C2211yescharacteristic, complemented
113#15689358C2211yescharacteristic
114#15689353C2211yescharacteristic, complemented
115#15689353C2211yescharacteristic, complemented
116#15689351C2211yescharacteristic, complemented
117#15689348C2211yescharacteristic, complemented
118#15689345C2211yescharacteristic, complemented
119#15689342C2211yescharacteristic, complemented
120#15689340C2211yescharacteristic
121#15689338C2211yescharacteristic
122#15689338C2211yescharacteristic, complemented
123#15689338C2211yescharacteristic, complemented
124#15689338C2211yescharacteristic, complemented
125#15689338C2211yescharacteristic, complemented
126#15689337C2211yescharacteristic, complemented
127#15689337C2211yescharacteristic, complemented
128#15689337C2211yescharacteristic, complemented
129#15689336C2211yescharacteristic
130#15689335C2211yescharacteristic, complemented
131#15689334C2211yescharacteristic, complemented
132#15689329C2211yescharacteristic, complemented
133#15689328C2211yescharacteristic, complemented
134#15689328C2211yescharacteristic, complemented
135#15689327C2211yescharacteristic, complemented
136#15689326C2211yescharacteristic, complemented
137#15689324C2211yescharacteristic, complemented
138#15689322C2211yescharacteristic, complemented
139#15689322C2211yescharacteristic, complemented
140#15689322C2211yescharacteristic, complemented
141#15689319C2211yescharacteristic, complemented
142#15689318C2211yescharacteristic
143#15689318C2211yescharacteristic, complemented
144#15689316C2211yescharacteristic
145#15689287C2211yescharacteristic, complemented
146#15689287C2211yescharacteristic, complemented
147#15689286C2211yescharacteristic
148#15689286C2211yescharacteristic
149#15689286C2211yescharacteristic, complemented
150#15689280C2211yescharacteristic, complemented
151#15689271C2211yescharacteristic, complemented
152#15689270C2211yescharacteristic
153#15689270C2211yescharacteristic, complemented
154#15689267C2211yescharacteristic, complemented
155#15689265C2211yescharacteristic
156#15689260C2211yescharacteristic, complemented
157#15689258C2211yescharacteristic
158#15689258C2211yescharacteristic, complemented
159#15689258C2211yescharacteristic, complemented
160#15689255C2211yescharacteristic, complemented
161#15689253C2211yescharacteristic, complemented
162C8×Dic94C2211yescharacteristic, complemented
163#15689234C2211yescharacteristic, complemented
164#15689232C2211yescharacteristic, complemented
165#15689229C2211yescharacteristic, complemented
166#15689220C2211yescharacteristic, complemented
167#15689217C2211yescharacteristic, complemented
168#15689214C2211yescharacteristic, complemented
169#15689205C2211yescharacteristic, complemented
170#15689203C2211yescharacteristic
171#15689202C2211yescharacteristic, complemented
172#15689198C2211yescharacteristic, complemented
173#15689198C2211yescharacteristic, complemented
174#15689197C2211yescharacteristic, complemented
175#15689197C2211yescharacteristic, complemented
176C8×D188C2211yescharacteristic, complemented
177#15689183C2211yescharacteristic, complemented
178#15689183C2211yescharacteristic, complemented
179#15689148C2211yescharacteristic, complemented
180#15689148C2211yescharacteristic, complemented
181#15689147C2211yescharacteristic, complemented
182#15689130C2211yescharacteristic, complemented
183#15689123C2211yescharacteristic, complemented
184#15689122C2211yescharacteristic, complemented
185#15689122C2211yescharacteristic, complemented
186#15689116C2211yescharacteristic, complemented
187#102×D47C2211yescharacteristic, complemented
188C47×#529C2211yescharacteristic, complemented
189C2×C4×D4×C47C2211yescharacteristic, complemented
190C47×#484C2211yescharacteristic, complemented
191C47×#481C2211yescharacteristic, complemented
192C47×#478C2211yescharacteristic, complemented
193C47×#478C2211yescharacteristic, complemented
194C47×#463C2211yescharacteristic
195C47×#463C2211yescharacteristic, complemented
196C47×#450C2211yescharacteristic, complemented
197C47×#447C2211yescharacteristic
198C4×SD16×C47C2211yescharacteristic, complemented
199C4×SD16×C47C2211yescharacteristic, complemented
200C4×D8×C47C2211yescharacteristic
201C4×D8×C47C2211yescharacteristic, complemented
202C47×#431C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625350—21no—
205C2×#10625350C2311yescharacteristic
206C2×#10625350C2311yescharacteristic
207C2×#10625352C2311yescharacteristic
208C2×#10625352C2311yescharacteristic
209C2×Q8×D47C2311yescharacteristic
210C22×C22⋊D47—21no—
211C2×D4×D47C2311yescharacteristic
212C2×D4×D47C2311yescharacteristic
213#13094050—42no—
214#13094050—42no—
215#13094048—42no—
216#13094048—42no—
217#13094045—42no—
218C2×Dic188C2311yescharacteristic
219C2×Dic188C2311yescharacteristic
220C2×#10625337C2311yescharacteristic
221C2×#10625325C2311yescharacteristic
222C2×#10625325C2311yescharacteristic
223C2×#10625325C2311yescharacteristic
224C2×#10625325C2311yescharacteristic
225C2×#10625335C2311yescharacteristic
226C2×#10625335C2311yescharacteristic
227C2×#10625335C2311yescharacteristic
228C2×#10625335C2311yescharacteristic
229C2×#10625335C2311yescharacteristic
230C2×#10625336C2311yescharacteristic
231SD16×D47—42no—
232C2×D376C2311yescharacteristic
233C2×D376C2311yescharacteristic
234C2×#10625334C2311yescharacteristic
235C2×#10625334C2311yescharacteristic
236C2×#10625334C2311yescharacteristic
237C2×#10625334C2311yescharacteristic
238C2×#10625334C2311yescharacteristic
239C2×#10625329C2311yescharacteristic
240C2×#10625329C2311yescharacteristic
241C2×#10625324C2311yescharacteristic
242C2×#10625324C2311yescharacteristic
243C2×C8×D47C2311yescharacteristic
244C2×C8×D47C2311yescharacteristic
245#13094024C2311yescharacteristic
246#13094023C2311yescharacteristic
247#13094022C2311yescharacteristic
248#13094021C2311yescharacteristic
249#13094020—21no—
250#13094020C2311yescharacteristic
251#13094020C2311yescharacteristic
252#13094019—21no—
253#13094019—21no—
254#13094019—21no—
255#13094019—21no—
256#13094018—21no—
257#13094018—21no—
258#13094018D411yescharacteristic
259#13094018D411yescharacteristic
260#13094017—21no—
261#13094017—21no—
262#13094016D411yescharacteristic
263#13094016C2311yescharacteristic
264#13094015—21no—
265#13094015—21no—
266#13094015C2311yescharacteristic
267#13094014—21no—
268#13094013C2311yescharacteristic
269#13094012—21no—
270#13094012D411yescharacteristic
271#13094012C2311yescharacteristic
272#13094012C2311yescharacteristic
273#13094012C2311yescharacteristic
274#13094011C2311yescharacteristic
275#13094011C2311yescharacteristic
276#13094010—21no—
277#13094010—21no—
278#13094010—21no—
279#13094010—21no—
280#13094009—21no—
281#13094009—21no—
282#13094009—21no—
283#13094009—21no—
284#13094008—21no—
285#13094008—21no—
286#13094007—21no—
287#13094007—21no—
288#13094007—21no—
289#13094007—21no—
290#13094007—21no—
291#13094007—21no—
292#13094007—21no—
293#13094007—21no—
294#13094007D411yescharacteristic
295#13094007D411yescharacteristic
296#13094006—21no—
297#13094006—21no—
298#13094006—21no—
299#13094006—21no—
300#13094006—21no—
301#13094006—21no—
302#13094006—21no—
303#13094005—21no—
304#13094004—21no—
305#13094004C2311yescharacteristic
306#13094004C2311yescharacteristic
307#13094004C2311yescharacteristic
308#13094003—21no—
309#13094003—21no—
310#13094003D411yescharacteristic
311#13094003C2311yescharacteristic
312#13094002—21no—
313#13094002—21no—
314#13094002—21no—
315#13094001—21no—
316#13094001—21no—
317#13094001—21no—
318#13094001—21no—
319#13093999—21no—
320#13093999—21no—
321#13093999—21no—
322#13093999C2311yescharacteristic
323#13093999C2311yescharacteristic
324#13093999C2311yescharacteristic
325#13093998—21no—
326#13093998—21no—
327#13093998—21no—
328#13093998—21no—
329#13093998—21no—
330#13093998D411yescharacteristic
331#13093998C2311yescharacteristic
332#13093997—21no—
333#13093997—21no—
334#13093997—21no—
335#13093997—21no—
336#13093997—21no—
337#13093997—21no—
338#13093997—21no—
339#13093996—21no—
340#13093996—21no—
341#13093996—21no—
342#13093995—21no—
343#13093995C2311yescharacteristic
344#13093995C2311yescharacteristic
345#13093994—21no—
346#13093994—21no—
347#13093994—21no—
348#13093994—21no—
349#13093993—21no—
350#13093993—21no—
351#13093992—21no—
352#13093992—21no—
353C4×Dic94C2311yescharacteristic
354C4×Dic94C2311yescharacteristic
355#13093989C2311yescharacteristic
356#13093989C2311yescharacteristic
357#13093989C2311yescharacteristic
358C4×D188—21no—
359C4×D188—21no—
360C4×D188—21no—
361C4×D188C2311yescharacteristic
362C4×D188C2311yescharacteristic
363D4×Dic47C2311yescharacteristic
364D4×Dic47C2311yescharacteristic
365#13093986—21no—
366#13093986C2311yescharacteristic
367#13093986C2311yescharacteristic
368#13093986C2311yescharacteristic
369C4×C22⋊D47—21no—
370C4×C22⋊D47—21no—
371C4×C22⋊D47—21no—
372C4×C22⋊D47—21no—
373C4×C22⋊D47—21no—
374C4×C22⋊D47—21no—
375C4×C22⋊D47C2311yescharacteristic
376C4×C22⋊D47C2311yescharacteristic
377(C22⋊D47)⋊C4—21no—
378(C22⋊D47)⋊C4—21no—
379(C22⋊D47)⋊C4—21no—
380#13093983—21no—
381#13093982C2311yescharacteristic
382#13093981—21no—
383#13093981—21no—
384#13093981C2311yescharacteristic
385#13093981C2311yescharacteristic
386#13093980—21no—
387C2×Dic47⋊C4—21no—
388C2×Dic47⋊C4—21no—
389C4⋊C4×D47—21no—
390C4⋊C4×D47C2311yescharacteristic
391C2×C22⋊Dic47—21no—
392C2×(C2×D47)⋊C4—21no—
393C2×(C2×D47)⋊C4—21no—
394C2×(C2×D47)⋊C4—21no—
395C22⋊C4×D47—21no—
396C22⋊C4×D47—21no—
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093955C2311yescharacteristic
400#13093955C2311yescharacteristic
401C4⋊(C47⋊C8)C2311yescharacteristic
402C4⋊(C47⋊C8)C2311yescharacteristic
403C4⋊(C47⋊C8)C2311yescharacteristic
404C4⋊(C47⋊C8)C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406Dic47⋊C8C2311yescharacteristic
407Dic47⋊C8C2311yescharacteristic
408Dic47⋊C8C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093947C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432#13093944C2311yescharacteristic
433(C2×D47)⋊C8C2311yescharacteristic
434(C2×D47)⋊C8C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437#13093934C2311yescharacteristic
438#13093934C2311yescharacteristic
439C8×Dic47C2311yescharacteristic
440C8×Dic47C2311yescharacteristic
441C22×D4×C47C2311yescharacteristic
442C23×C4×C47—21no—
443C2×SD16×C47C2311yescharacteristic
444C2×SD16×C47C2311yescharacteristic
445C2×D8×C47C2311yescharacteristic
446C2×D8×C47C2311yescharacteristic
447#126×C47—21no—
448#125×C47C2311yescharacteristic
449#124×C47C2311yescharacteristic
450#123×C47—21no—
451C22⋊Q8×C47C2311yescharacteristic
452#121×C47C2311yescharacteristic
453C4×Q8×C47C2311yescharacteristic
454C4×D4×C47—21no—
455C4×D4×C47—21no—
456C4×D4×C47—21no—
457C4×D4×C47C2311yescharacteristic
458C4×D4×C47C2311yescharacteristic
459C4×D4×C47C2311yescharacteristic
460C4×D4×C47C2311yescharacteristic
461C4×D4×C47C2311yescharacteristic
462#117×C47—21no—
463C2×C4⋊C4×C47C2311yescharacteristic
464C2×C22⋊C4×C47—21no—
465C2×C42×C47C2311yescharacteristic
466#107×C47C2311yescharacteristic
467#107×C47C2311yescharacteristic
468#106×C47C2311yescharacteristic
469#106×C47C2311yescharacteristic
470C4⋊C8×C47C2311yescharacteristic
471C4⋊C8×C47C2311yescharacteristic
472#103×C47C2311yescharacteristic
473#103×C47C2311yescharacteristic
474#102×C47C2311yescharacteristic
475#102×C47C2311yescharacteristic
476#102×C47C2311yescharacteristic
477#102×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480C22⋊C8×C47C2311yescharacteristic
481C22⋊C8×C47C2311yescharacteristic
482C4×C8×C47C2311yescharacteristic
483C4×C8×C47C2311yescharacteristic
484C24×C47—21no—
485C23×D47—21no—
486C23×D47—21no—
487C2×Q8×C47C2411yescharacteristic
488C2×D4×C47—22no—
489C2×D4×C47—21no—
490C2×D4×C47—21no—
491C2×D4×C47—41no—
492C2×D4×C47C2411yescharacteristic
493C2×D4×C47C2411yescharacteristic
494C2×D4×C47C2411yescharacteristic
495C22×C4×C47—21no—
496C22×C4×C47—21no—
497C22×C4×C47—21no—
498C22×C4×C47—21no—
499C22×C4×C47—21no—
500C22×C4×C47—21no—
501C22×C4×C47—82no—
502C22×C4×C47C2×D411yescharacteristic
503C22×C4×C47C2×D411yescharacteristic
504C22×C4×C47C2411yescharacteristic
505C2×C22⋊D47—21no—
506C2×C22⋊D47—21no—
507C2×C22⋊D47—21no—
508C2×C22⋊D47—21no—
509C2×C22⋊D47—21no—
510C2×C22⋊D47—21no—
511C2×C22⋊D47—21no—
512C2×C22⋊D47—21no—
513C2×C22⋊D47—21no—
514C2×C22⋊D47—21no—
515C2×C22⋊D47—21no—
516C2×C22⋊D47—21no—
517C2×C22⋊D47—21no—
518C2×C22⋊D47—82no—
519C2×C22⋊D47C2×D411yescharacteristic
520C2×C22⋊D47C2×D411yescharacteristic
521C22×Dic47—21no—
522C22×Dic47—21no—
523C22×Dic47—21no—
524C22×Dic47—21no—
525#10625354—41no—
526#10625354—41no—
527Q8×D47—41no—
528Q8×D47—41no—
529#10625352—22no—
530#10625352—41no—
531#10625352—41no—
532#10625352—41no—
533D4×D47—22no—
534D4×D47—41no—
535D4×D47—41no—
536D4×D47—41no—
537#10625350—41no—
538#10625350—41no—
539#10625350—41no—
540#10625350—41no—
541#10625350—82no—
542C2×D188—21no—
543C2×D188—21no—
544C2×D188—21no—
545C2×D188—21no—
546C2×D188—21no—
547C2×D188—21no—
548C2×D188C2×D411yescharacteristic
549C2×D188C2411yescharacteristic
550C2×D188C2411yescharacteristic
551C2×D188C2411yescharacteristic
552C2×C4×D47—21no—
553C2×C4×D47—21no—
554C2×C4×D47—21no—
555C2×C4×D47—21no—
556C2×C4×D47—21no—
557C2×C4×D47—21no—
558C2×C4×D47—21no—
559C2×C4×D47—21no—
560C2×C4×D47—21no—
561C2×C4×D47C2411yescharacteristic
562C2×C4×D47C2411yescharacteristic
563C2×Dic94—21no—
564C2×Dic94—21no—
565C2×Dic94C2×D411yescharacteristic
566C2×Dic94C2411yescharacteristic
567C2×Dic94C2411yescharacteristic
568C2×Dic94C2411yescharacteristic
569SD16×C47—22no—
570SD16×C47—41no—
571D8×C47—22no—
572D8×C47—41no—
573C2×C8×C47C2411yescharacteristic
574C2×C8×C47C2411yescharacteristic
575C2×C8×C47C2411yescharacteristic
576C2×C8×C47C2411yescharacteristic
577C4⋊C4×C47—21no—
578C4⋊C4×C47—21no—
579C4⋊C4×C47—21no—
580C4⋊C4×C47—21no—
581C4⋊C4×C47—21no—
582C4⋊C4×C47C2411yescharacteristic
583C4⋊C4×C47C2411yescharacteristic
584C4⋊C4×C47C2411yescharacteristic
585C4⋊C4×C47C2411yescharacteristic
586C22⋊C4×C47—21no—
587C22⋊C4×C47—21no—
588C22⋊C4×C47—21no—
589C22⋊C4×C47—21no—
590C22⋊C4×C47—21no—
591C22⋊C4×C47—21no—
592C22⋊C4×C47—21no—
593C22⋊C4×C47—21no—
594C22⋊C4×C47—21no—
595C42×C47—21no—
596C42×C47C2×D411yescharacteristic
597C42×C47C2×D411yescharacteristic
598C42×C47C2411yescharacteristic
599C42×C47C2411yescharacteristic
600C22⋊Dic47—21no—
601C22⋊Dic47—21no—
602C22⋊Dic47—21no—
603C22⋊Dic47—21no—
604C22⋊Dic47—21no—
605C22⋊Dic47—21no—
606C22⋊Dic47—21no—
607C22⋊Dic47—21no—
608C22⋊Dic47—21no—
609C22⋊Dic47C2×D411yescharacteristic
610C22⋊Dic47C2×D411yescharacteristic
611#10625337—41no—
612#10625336—41no—
613#10625335—22no—
614#10625335—22no—
615#10625335—41no—
616#10625335—41no—
617#10625335—41no—
618#10625334—22no—
619#10625334—22no—
620#10625334—41no—
621#10625334—41no—
622#10625334—41no—
623(C2×D47)⋊C4—21no—
624(C2×D47)⋊C4—21no—
625(C2×D47)⋊C4—21no—
626(C2×D47)⋊C4—21no—
627(C2×D47)⋊C4—21no—
628(C2×D47)⋊C4—21no—
629(C2×D47)⋊C4—21no—
630(C2×D47)⋊C4—21no—
631(C2×D47)⋊C4—21no—
632(C2×D47)⋊C4—21no—
633(C2×D47)⋊C4—21no—
634(C2×D47)⋊C4—21no—
635(C2×D47)⋊C4—21no—
636(C2×D47)⋊C4—21no—
637(C2×D47)⋊C4—21no—
638(C2×D47)⋊C4—21no—
639(C2×D47)⋊C4—21no—
640(C2×D47)⋊C4—21no—
641(C2×D47)⋊C4—21no—
642(C2×D47)⋊C4—21no—
643(C2×D47)⋊C4C2×D411yescharacteristic
644(C2×D47)⋊C4C2×D411yescharacteristic
645(C2×D47)⋊C4C2×D411yescharacteristic
646(C2×D47)⋊C4C2×D411yescharacteristic
647(C2×D47)⋊C4C2×D411yescharacteristic
648(C2×D47)⋊C4C2×D411yescharacteristic
649(C2×D47)⋊C4C2×D411yescharacteristic
650(C2×D47)⋊C4C2×D411yescharacteristic
651C4⋊Dic47—21no—
652C4⋊Dic47—21no—
653C4⋊Dic47—21no—
654C4⋊Dic47—21no—
655C4⋊Dic47—21no—
656C4⋊Dic47—21no—
657C4⋊Dic47C2×D411yescharacteristic
658C4⋊Dic47C2×D411yescharacteristic
659C4⋊Dic47C2411yescharacteristic
660C4⋊Dic47C2411yescharacteristic
661Dic47⋊C4—21no—
662Dic47⋊C4—21no—
663Dic47⋊C4—21no—
664Dic47⋊C4—21no—
665Dic47⋊C4—21no—
666Dic47⋊C4—21no—
667Dic47⋊C4—21no—
668Dic47⋊C4—21no—
669Dic47⋊C4—21no—
670Dic47⋊C4—21no—
671Dic47⋊C4—21no—
672Dic47⋊C4—21no—
673Dic47⋊C4C2×D411yescharacteristic
674Dic47⋊C4C2×D411yescharacteristic
675Dic47⋊C4C2×D411yescharacteristic
676Dic47⋊C4C2×D411yescharacteristic
677Dic47⋊C4C2×D411yescharacteristic
678Dic47⋊C4C2×D411yescharacteristic
679Dic47⋊C4C2×D411yescharacteristic
680Dic47⋊C4C2×D411yescharacteristic
681C4×Dic47—21no—
682C4×Dic47—21no—
683C4×Dic47—21no—
684C4×Dic47—21no—
685C4×Dic47—21no—
686C4×Dic47C2411yescharacteristic
687C4×Dic47C2411yescharacteristic
688#10625329—41no—
689#10625329—41no—
690C2×C47⋊C8C2411yescharacteristic
691C2×C47⋊C8C2411yescharacteristic
692C2×C47⋊C8C2411yescharacteristic
693C2×C47⋊C8C2411yescharacteristic
694Dic188—41no—
695Dic188—41no—
696D376—41no—
697D376—41no—
698#10625325—41no—
699#10625325—41no—
700#10625325—41no—
701#10625325—41no—
702#10625324—41no—
703#10625324—41no—
704C8×D47—41no—
705C8×D47—41no—
706C23×C47—21no—
707C23×C47—21no—
708C23×C47—21no—
709C23×C47—42no—
710C23×C47—42no—
711C23×C47—81no—
712C23×C47C22×D411yescharacteristic
713C22×D47—21no—
714C22×D47—21no—
715C22×D47—21no—
716C22×D47—42no—
717C22×D47—81no—
718C22×D47—81no—
719C22×D47—81no—
720C22×D47—81no—
721C22×D47—81no—
722C22×D47C22×D411yescharacteristic
723C22×D47C22×D411yescharacteristic
724Q8×C47—21no—
725Q8×C47—21no—
726D4×C47—21no—
727D4×C47—21no—
728D4×C47—21no—
729D4×C47—21no—
730D4×C47—21no—
731D4×C47—42no—
732D4×C47—81no—
733D4×C47H(5,𝔽2)12yes—
734C2×C4×C47—21no—
735C2×C4×C47—21no—
736C2×C4×C47—21no—
737C2×C4×C47—21no—
738C2×C4×C47—21no—
739C2×C4×C47—21no—
740C2×C4×C47—21no—
741C2×C4×C47—41no—
742C2×C4×C47—41no—
743C2×C4×C47—42no—
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×C47C2511yescharacteristic
755C22⋊D47—41no—
756C22⋊D47—41no—
757C22⋊D47—42no—
758C22⋊D47—42no—
759C22⋊D47—42no—
760C22⋊D47—81no—
761C22⋊D47—81no—
762C22⋊D47—81no—
763C22⋊D47—81no—
764C22⋊D47—81no—
765C22⋊D47—81no—
766C22⋊D47—81no—
767C22⋊D47—81no—
768C22⋊D47—81no—
769C22⋊D47—81no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—42no—
776C2×Dic47—81no—
777C2×Dic47—81no—
778C2×Dic47—81no—
779C2×Dic47C22×D411yescharacteristic
780C2×Dic47C22×D411yescharacteristic
781C2×Dic47C22×D411yescharacteristic
782C2×Dic47C22×D411yescharacteristic
783C2×Dic47C22×D411yescharacteristic
784C2×Dic47C22×D411yescharacteristic
785D188—21no—
786D188—21no—
787D188—21no—
788D188—21no—
789D188—21no—
790D188—21no—
791D188—41no—
792D188—81no—
793D188—81no—
794D188—81no—
795D188—81no—
796D188—81no—
797D188—81no—
798C4×D47—21no—
799C4×D47—21no—
800C4×D47—21no—
801C4×D47—21no—
802C4×D47—81no—
803C4×D47—81no—
804C4×D47—81no—
805C4×D47—81no—
806C4×D47—81no—
807C4×D47—81no—
808C4×D47—81no—
809C4×D47—81no—
810C4×D47—81no—
811Dic94—21no—
812Dic94—21no—
813Dic94—21no—
814Dic94—21no—
815Dic94—21no—
816Dic94—21no—
817Dic94—41no—
818Dic94—81no—
819Dic94—81no—
820C8×C47—21no—
821C8×C47—21no—
822C8×C47—21no—
823C8×C47—21no—
824C47⋊C8—21no—
825C47⋊C8—21no—
826C47⋊C8—21no—
827C47⋊C8—21no—
828#62027—471nomaximal, Sylow
829C22×C47—21no—
830C22×C47—21no—
831C22×C47—22no—
832C22×C47—21no—
833C22×C47—41no—
834C22×C47—41no—
835C22×C47—41no—
836C22×C47—41no—
837C22×C47—41no—
838C22×C47—41no—
839C22×C47—41no—
840C22×C47—41no—
841C22×C47—84no—
842C22×C47C23×D411yescharacteristic
843C2×D47—21no—
844C2×D47—21no—
845C2×D47—21no—
846C2×D47—21no—
847C2×D47—21no—
848C2×D47—21no—
849C2×D47—41no—
850C2×D47—41no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—41no—
858C2×D47—162no—
859C2×D47—162no—
860C4×C47—21no—
861C4×C47—21no—
862C4×C47—21no—
863C4×C47—21no—
864C4×C47—21no—
865C4×C47—41no—
866C4×C47—41no—
867C4×C47—41no—
868C4×C47—41no—
869C4×C47—41no—
870C4×C47C2×H(5,𝔽2)11yescharacteristic
871C4×C47#58511yescharacteristic
872Dic47—21no—
873Dic47—21no—
874Dic47—21no—
875Dic47—21no—
876Dic47—21no—
877Dic47—21no—
878Dic47—41no—
879Dic47—41no—
880Dic47—41no—
881Dic47—41no—
882Dic47—41no—
883#3562—471no—
884#3513—471no—
885#3401—471no—
886#3396—471no—
887#3370—471no—
888#3360—471no—
889#3330—471no—
890#3327—471no—
891#3326—471no—
892#3317—471no—
893#3306—471no—
894#3297—471no—
895#3282—471no—
896#3274—471no—
897#3273—471no—
898#3273—471no—
899#3267—471no—
900#3265—471no—
901#3260—471no—
902#3257—471no—
903#3256—471no—
904#3225—471no—
905#3220—471no—
906#3212—471no—
907#3122—471no—
908#3120—471no—
909#3105D4711yescharacteristic, complemented
910#3045—471no—
911#3042—471no—
912#3036—471no—
913#2993—471no—
914C2×C47—42no—
915C2×C47—41no—
916C2×C47—81no—
917C2×C47—81no—
918C2×C47#348811yescharacteristic
919C2×C47#358411yescharacteristic
920C2×C47#358511yescharacteristic
921D47—41no—
922D47—41no—
923D47—81no—
924D47—81no—
925D47—81no—
926C2×AGL(1,ℤ/8)—471no—
927C2×AGL(1,ℤ/8)—471no—
928C2×AGL(1,ℤ/8)—471no—
929C2×AGL(1,ℤ/8)—471no—
930C2×#135—471no—
931C22×SD16—471no—
932#562—941no—
933#560—941no—
934#559—471no—
935#559—471no—
936#556—471no—
937#554—471no—
938#553—471no—
939#553—941no—
940#553—941no—
941#552—471no—
942#551—941no—
943#551—941no—
944#551—941no—
945#550—471no—
946#548—471no—
947#548—471no—
948#547—471no—
949#547—471no—
950#546—471no—
951#546—471no—
952#546—471no—
953#546—471no—
954#546—941no—
955D42—471no—
956#542—471no—
957#541—471no—
958#540—471no—
959#540—471no—
960#540—941no—
961#539—941no—
962#539—941no—
963#538—941no—
964#538—941no—
965#538—941no—
966#536—471no—
967#535—471no—
968#532—471no—
969#529—471no—
970#529—471no—
971#529C2×D4711yescharacteristic, complemented
972#525—941no—
973C2×#123—941no—
974#520—471no—
975#518—471no—
976C2×C4×D4C2×D4711yescharacteristic, complemented
977#497—471no—
978#496—471no—
979#495—471no—
980#495—471no—
981#495—471no—
982#493—471no—
983#490—471no—
984#489—471no—
985#488—471no—
986#488—471no—
987#488—471no—
988#487—471no—
989#484—471no—
990#484C2×D4711yescharacteristic, complemented
991#483—471no—
992#482—471no—
993#482—471no—
994#481C2×D4711yescharacteristic, complemented
995#479—471no—
996#479—471no—
997#479—471no—
998#479—471no—
999#478—471no—
1000#478—471no—
1001#478C2×D4711yescharacteristic, complemented
1002#478C2×D4711yescharacteristic, complemented
1003#476—471no—
1004#474—471no—
1005#470—471no—
1006#469—471no—
1007#469—471no—
1008#468—471no—
1009#468—471no—
1010#468—471no—
1011#468—471no—
1012#468—471no—
1013#466—471no—
1014#465—471no—
1015#465—471no—
1016#465—471no—
1017#464—471no—
1018#464—471no—
1019#464—471no—
1020#463—471no—
1021#463—471no—
1022#463—471no—
1023#463—471no—
1024#463—471no—
1025#463—471no—
1026#463—471no—
1027#463—471no—
1028#463—471no—
1029#463—471no—
1030#463—471no—
1031#463C2×D4711yescharacteristic
1032#463C2×D4711yescharacteristic, complemented
1033#462—471no—
1034#461—471no—
1035#461—471no—
1036#461—471no—
1037#461—471no—
1038#461—471no—
1039#460—471no—
1040#460—471no—
1041#460—471no—
1042#460—471no—
1043#459—471no—
1044#459—471no—
1045#459—471no—
1046#459—471no—
1047#452—471no—
1048#452—471no—
1049#452—471no—
1050#452—471no—
1051#452—471no—
1052#451—471no—
1053#450C2×D4711yescharacteristic, complemented
1054#449—471no—
1055#449—471no—
1056#449—471no—
1057#449—471no—
1058#449—471no—
1059#448—471no—
1060#447—471no—
1061#447—471no—
1062#447—471no—
1063#447—471no—
1064#447C2×D4711yescharacteristic
1065#446—471no—
1066C8×Q8—471no—
1067#442—471no—
1068#442—471no—
1069#441—471no—
1070#440—471no—
1071C4×Q16—471no—
1072C4×SD16—471no—
1073C4×SD16C2×D4711yescharacteristic, complemented
1074C4×SD16C2×D4711yescharacteristic, complemented
1075C4×D8—471no—
1076C4×D8—471no—
1077C4×D8C2×D4711yescharacteristic
1078C4×D8C2×D4711yescharacteristic, complemented
1079#436—471no—
1080#436—471no—
1081#436—471no—
1082#435—471no—
1083#435—471no—
1084C8×D4—471no—
1085#433—471no—
1086#433—471no—
1087#431C2×D4711yescharacteristic, complemented
1088#424—471no—
1089#424—471no—
1090#423—471no—
1091#419—471no—
1092#417—471no—
1093#417—471no—
1094#417—471no—
1095#416—471no—
1096C2×#102—471no—
1097C47#6202711yescharacteristic, complemented, Sylow
1098C2×#41—471no—
1099C2×#41—471no—
1100C2×#41—471no—
1101C2×#41—471no—
1102C2×#41—471no—
1103C2×#41—941no—
1104C22×Q8—471no—
1105C22×D4—471no—
1106C22×D4—471no—
1107C22×D4—941no—
1108C22×D4C22×D4711yescharacteristic
1109C23×C4—21no—
1110AGL(1,ℤ/8)—1882no—
1111AGL(1,ℤ/8)—1882no—
1112AGL(1,ℤ/8)—1882no—
1113AGL(1,ℤ/8)—1882no—
1114#135—1882no—
1115C2×Q16—471no—
1116C2×Q16—471no—
1117C2×Q16—471no—
1118C2×SD16—471no—
1119C2×SD16—471no—
1120C2×SD16—471no—
1121C2×SD16—471no—
1122C2×SD16—471no—
1123C2×SD16—471no—
1124C2×SD16—471no—
1125C2×SD16—471no—
1126C2×SD16—471no—
1127C2×SD16—471no—
1128C2×SD16—1882no—
1129C2×SD16C22×D4711yescharacteristic
1130C2×SD16C22×D4711yescharacteristic
1131C2×D8—471no—
1132C2×D8—471no—
1133C2×D8—471no—
1134C2×D8—471no—
1135C2×D8—471no—
1136C2×D8—471no—
1137C2×D8—471no—
1138C2×D8C22×D4711yescharacteristic
1139C2×D8C22×D4711yescharacteristic
1140C2×M16—471no—
1141C2×M16—471no—
1142C2×M16—471no—
1143C2×M16—471no—
1144C22×C8—471no—
1145C22×C8—471no—
1146C4⋊Q8—471no—
1147C4⋊Q8—471no—
1148C4⋊Q8—471no—
1149#127—471no—
1150#127—471no—
1151#127—471no—
1152#127—941no—
1153#126—21no—
1154#126—471no—
1155#126—471no—
1156#126—941no—
1157#126—941no—
1158#126—941no—
1159#126—941no—
1160#126—941no—
1161#126—941no—
1162#126—941no—
1163#126—941no—
1164#125—471no—
1165#125—471no—
1166#125—471no—
1167#125—941no—
1168#125—941no—
1169#125—941no—
1170#125C22×D4711yescharacteristic
1171#124—471no—
1172#124—471no—
1173#124—471no—
1174#124—471no—
1175#124—471no—
1176#124—471no—
1177#124—471no—
1178#124—941no—
1179#124—941no—
1180#124—941no—
1181#124—941no—
1182#124—941no—
1183#124C22×D4711yescharacteristic
1184#123—21no—
1185#123—471no—
1186#123—471no—
1187#123—941no—
1188#123—941no—
1189#123—941no—
1190#123—941no—
1191#123—941no—
1192#123—941no—
1193#123—941no—
1194#123—941no—
1195#123—941no—
1196#123—941no—
1197#123—941no—
1198#123—941no—
1199#123—941no—
1200#123—941no—
1201#123—941no—
1202#123—941no—
1203#123—941no—
1204#123—941no—
1205#123—941no—
1206#123—941no—
1207#123—941no—
1208#123—941no—
1209C22⋊Q8—471no—
1210C22⋊Q8—471no—
1211C22⋊Q8—471no—
1212C22⋊Q8—471no—
1213C22⋊Q8—471no—
1214C22⋊Q8—941no—
1215C22⋊Q8—941no—
1216C22⋊Q8—941no—
1217C22⋊Q8—941no—
1218C22⋊Q8—941no—
1219C22⋊Q8—941no—
1220C22⋊Q8—941no—
1221C22⋊Q8—941no—
1222C22⋊Q8—941no—
1223C22⋊Q8—941no—
1224C22⋊Q8C22×D4711yescharacteristic
1225#121—471no—
1226#121—471no—
1227#121—471no—
1228#121—471no—
1229#121—471no—
1230#121—471no—
1231#121—471no—
1232#121—941no—
1233#121—941no—
1234#121—941no—
1235#121—941no—
1236#121—941no—
1237#121—941no—
1238#121—941no—
1239#121—941no—
1240#121—941no—
1241#121—941no—
1242#121—941no—
1243#121—941no—
1244#121—941no—
1245#121—941no—
1246#121—941no—
1247#121—941no—
1248#121—941no—
1249#121—941no—
1250#121—941no—
1251#121C22×D4711yescharacteristic
1252#120—941no—
1253#120—941no—
1254#120—941no—
1255#120—941no—
1256#120—941no—
1257#120—941no—
1258#120—941no—
1259#120—941no—
1260C4×Q8—471no—
1261C4×Q8—471no—
1262C4×Q8—471no—
1263C4×Q8—471no—
1264C4×Q8—471no—
1265C4×Q8C22×D4711yescharacteristic
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—471no—
1270C4×D4—471no—
1271C4×D4—471no—
1272C4×D4—471no—
1273C4×D4—471no—
1274C4×D4—471no—
1275C4×D4—471no—
1276C4×D4—471no—
1277C4×D4—471no—
1278C4×D4—941no—
1279C4×D4—941no—
1280C4×D4—941no—
1281C4×D4—941no—
1282C4×D4—941no—
1283C4×D4—941no—
1284C4×D4—941no—
1285C4×D4—941no—
1286C4×D4—941no—
1287C4×D4—941no—
1288C4×D4—941no—
1289C4×D4—941no—
1290C4×D4—941no—
1291C4×D4C22×D4711yescharacteristic
1292C4×D4C22×D4711yescharacteristic
1293C4×D4C22×D4711yescharacteristic
1294C4×D4C22×D4711yescharacteristic
1295C4×D4C22×D4711yescharacteristic
1296#117—21no—
1297#117—471no—
1298#117—471no—
1299#117—471no—
1300#117—941no—
1301#117—941no—
1302#117—941no—
1303#117—941no—
1304C2×C4⋊C4—471no—
1305C2×C4⋊C4—941no—
1306C2×C4⋊C4—941no—
1307C2×C4⋊C4—941no—
1308C2×C4⋊C4C22×D4711yescharacteristic
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—941no—
1311C2×C22⋊C4—941no—
1312C2×C22⋊C4—941no—
1313C2×C22⋊C4—941no—
1314C2×C22⋊C4—941no—
1315C2×C22⋊C4—941no—
1316C2×C42C22×D4711yescharacteristic
1317#107—471no—
1318#107—471no—
1319#107C22×D4711yescharacteristic
1320#107C22×D4711yescharacteristic
1321#106—471no—
1322#106—471no—
1323#106C22×D4711yescharacteristic
1324#106C22×D4711yescharacteristic
1325C4⋊C8—471no—
1326C4⋊C8—471no—
1327C4⋊C8—471no—
1328C4⋊C8—471no—
1329C4⋊C8—471no—
1330C4⋊C8—471no—
1331C4⋊C8—471no—
1332C4⋊C8—471no—
1333C4⋊C8C22×D4711yescharacteristic
1334C4⋊C8C22×D4711yescharacteristic
1335#103—471no—
1336#103—471no—
1337#103—471no—
1338#103—471no—
1339#103—471no—
1340#103—471no—
1341#103—471no—
1342#103—471no—
1343#103—471no—
1344#103—471no—
1345#103—471no—
1346#103—471no—
1347#103C22×D4711yescharacteristic
1348#103C22×D4711yescharacteristic
1349#102—471no—
1350#102—471no—
1351#102—471no—
1352#102—471no—
1353#102—471no—
1354#102—471no—
1355#102—471no—
1356#102—471no—
1357#102—471no—
1358#102—471no—
1359#102—471no—
1360#102—471no—
1361#102C22×D4711yescharacteristic
1362#102C22×D4711yescharacteristic
1363#102C22×D4711yescharacteristic
1364#102C22×D4711yescharacteristic
1365#102C22×D4711yescharacteristic
1366#102C22×D4711yescharacteristic
1367C22⋊C8—471no—
1368C22⋊C8—471no—
1369C22⋊C8—471no—
1370C22⋊C8—471no—
1371C22⋊C8C22×D4711yescharacteristic
1372C22⋊C8C22×D4711yescharacteristic
1373#97—471no—
1374#97—471no—
1375C4×C8—471no—
1376C4×C8—471no—
1377C4×C8C22×D4711yescharacteristic
1378C4×C8C22×D4711yescharacteristic
1379C24—21no—
1380C24—941no—
1381C24—941no—
1382#41—942no—
1383#41—3762no—
1384#41—1881no—
1385#41—1881no—
1386#41—1881no—
1387#41—1881no—
1388#41—1881no—
1389#41—1881no—
1390#41—1881no—
1391#41—1881no—
1392#41—1881no—
1393C2×Q8—471no—
1394C2×Q8—471no—
1395C2×Q8—471no—
1396C2×Q8—471no—
1397C2×Q8—941no—
1398C2×Q8—941no—
1399C2×Q8—1881no—
1400C2×Q8—1881no—
1401C2×Q8C23×D4711yescharacteristic
1402C2×D4—22no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—41no—
1406C2×D4—471no—
1407C2×D4—471no—
1408C2×D4—471no—
1409C2×D4—471no—
1410C2×D4—471no—
1411C2×D4—471no—
1412C2×D4—941no—
1413C2×D4—941no—
1414C2×D4—941no—
1415C2×D4—941no—
1416C2×D4—941no—
1417C2×D4—941no—
1418C2×D4—941no—
1419C2×D4—941no—
1420C2×D4—941no—
1421C2×D4—941no—
1422C2×D4—942no—
1423C2×D4—941no—
1424C2×D4—941no—
1425C2×D4—941no—
1426C2×D4—941no—
1427C2×D4—941no—
1428C2×D4—941no—
1429C2×D4—941no—
1430C2×D4—941no—
1431C2×D4—941no—
1432C2×D4—3762no—
1433C2×D4—1881no—
1434C2×D4—1881no—
1435C2×D4—1881no—
1436C2×D4C23×D4711yescharacteristic
1437C2×D4C23×D4711yescharacteristic
1438C2×D4C23×D4711yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—82no—
1446C22×C4—471no—
1447C22×C4—471no—
1448C22×C4—941no—
1449C22×C4—941no—
1450C22×C4—941no—
1451C22×C4—941no—
1452C22×C4—941no—
1453C22×C4—941no—
1454C22×C4—941no—
1455C22×C4—941no—
1456C22×C4—941no—
1457C22×C4—941no—
1458C22×C4—941no—
1459C22×C4—941no—
1460C22×C4—941no—
1461C22×C4D4×D4711yescharacteristic
1462C22×C4D4×D4711yescharacteristic
1463C22×C4C23×D4711yescharacteristic
1464Q16—1881no—
1465Q16—1881no—
1466Q16—1881no—
1467SD16—22no—
1468SD16—41no—
1469SD16—942no—
1470SD16—942no—
1471SD16—1881no—
1472SD16—1881no—
1473SD16—1881no—
1474SD16—1881no—
1475SD16—1881no—
1476SD16—1881no—
1477SD16—1881no—
1478SD16—1881no—
1479D8—22no—
1480D8—41no—
1481D8—942no—
1482D8—942no—
1483D8—1881no—
1484D8—1881no—
1485D8—1881no—
1486D8—1881no—
1487D8—1881no—
1488M16—1881no—
1489M16—1881no—
1490M16—1881no—
1491M16—1881no—
1492C2×C8—471no—
1493C2×C8—471no—
1494C2×C8—471no—
1495C2×C8—471no—
1496C2×C8—1881no—
1497C2×C8—1881no—
1498C2×C8C23×D4711yescharacteristic
1499C2×C8C23×D4711yescharacteristic
1500C2×C8C23×D4711yescharacteristic
1501C2×C8C23×D4711yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—471no—
1508C4⋊C4—471no—
1509C4⋊C4—471no—
1510C4⋊C4—471no—
1511C4⋊C4—471no—
1512C4⋊C4—471no—
1513C4⋊C4—471no—
1514C4⋊C4—471no—
1515C4⋊C4—471no—
1516C4⋊C4—471no—
1517C4⋊C4—471no—
1518C4⋊C4—471no—
1519C4⋊C4—941no—
1520C4⋊C4—941no—
1521C4⋊C4—941no—
1522C4⋊C4—941no—
1523C4⋊C4—941no—
1524C4⋊C4—941no—
1525C4⋊C4—941no—
1526C4⋊C4—941no—
1527C4⋊C4—941no—
1528C4⋊C4—941no—
1529C4⋊C4—941no—
1530C4⋊C4—941no—
1531C4⋊C4—941no—
1532C4⋊C4—941no—
1533C4⋊C4—941no—
1534C4⋊C4—941no—
1535C4⋊C4—941no—
1536C4⋊C4—941no—
1537C4⋊C4C23×D4711yescharacteristic
1538C4⋊C4C23×D4711yescharacteristic
1539C4⋊C4C23×D4711yescharacteristic
1540C4⋊C4C23×D4711yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—471no—
1551C22⋊C4—471no—
1552C22⋊C4—471no—
1553C22⋊C4—471no—
1554C22⋊C4—471no—
1555C22⋊C4—471no—
1556C22⋊C4—471no—
1557C22⋊C4—471no—
1558C22⋊C4—471no—
1559C22⋊C4—471no—
1560C22⋊C4—941no—
1561C22⋊C4—941no—
1562C22⋊C4—941no—
1563C22⋊C4—941no—
1564C22⋊C4—941no—
1565C22⋊C4—941no—
1566C22⋊C4—941no—
1567C22⋊C4—941no—
1568C22⋊C4—941no—
1569C22⋊C4—941no—
1570C22⋊C4—941no—
1571C22⋊C4—941no—
1572C22⋊C4—941no—
1573C22⋊C4—941no—
1574C22⋊C4—941no—
1575C22⋊C4—941no—
1576C22⋊C4—941no—
1577C22⋊C4—941no—
1578C22⋊C4—941no—
1579C22⋊C4—941no—
1580C22⋊C4—941no—
1581C22⋊C4—941no—
1582C22⋊C4—941no—
1583C22⋊C4—941no—
1584C22⋊C4—941no—
1585C22⋊C4—941no—
1586C22⋊C4—941no—
1587C22⋊C4—941no—
1588C22⋊C4—941no—
1589C42—21no—
1590C42—471no—
1591C42—471no—
1592C42—941no—
1593C42—941no—
1594C42—941no—
1595C42—941no—
1596C42—941no—
1597C42D4×D4711yescharacteristic
1598C42D4×D4711yescharacteristic
1599C42C23×D4711yescharacteristic
1600C42C23×D4711yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—42no—
1605C23—42no—
1606C23—81no—
1607C23—471no—
1608C23—471no—
1609C23—941no—
1610C23—941no—
1611C23—941no—
1612C23—3761no—
1613C23—3761no—
1614C23—3761no—
1615C23—3761no—
1616C23—3761no—
1617C23—1882no—
1618C23C2×D4×D4711yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—941no—
1622Q8—941no—
1623Q8—941no—
1624Q8—941no—
1625Q8—941no—
1626Q8—941no—
1627Q8—3761no—
1628Q8—3761no—
1629Q8—1881no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—42no—
1636D4—81no—
1637D4—941no—
1638D4—941no—
1639D4—941no—
1640D4—941no—
1641D4—941no—
1642D4—941no—
1643D4—3761no—
1644D4—3761no—
1645D4—3761no—
1646D4—3761no—
1647D4—3761no—
1648D4—3761no—
1649D4—3761no—
1650D4—3761no—
1651D4—3761no—
1652D4—3761no—
1653D4—3761no—
1654D4—3761no—
1655D4—3761no—
1656D4—3761no—
1657D4—3761no—
1658D4—3761no—
1659D4—1881no—
1660D4—1881no—
1661D4—1881no—
1662D4—1882no—
1663D4—1882no—
1664D4—1882no—
1665D4#1309407012yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—42no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—471no—
1682C2×C4—471no—
1683C2×C4—471no—
1684C2×C4—471no—
1685C2×C4—471no—
1686C2×C4—471no—
1687C2×C4—941no—
1688C2×C4—941no—
1689C2×C4—941no—
1690C2×C4—941no—
1691C2×C4—941no—
1692C2×C4—941no—
1693C2×C4—941no—
1694C2×C4—941no—
1695C2×C4—941no—
1696C2×C4—3761no—
1697C2×C4—3761no—
1698C2×C4—3761no—
1699C2×C4—3761no—
1700C2×C4—3761no—
1701C2×C4—3761no—
1702C2×C4—3761no—
1703C2×C4—3761no—
1704C2×C4—3761no—
1705C2×C4—3761no—
1706C2×C4—3761no—
1707C2×C4—3761no—
1708C2×C4—1882no—
1709C2×C4C2×D4×D4711yescharacteristic
1710C2×C4C2×D4×D4711yescharacteristic
1711C2×C4C2×D4×D4711yescharacteristic
1712C2×C4C2×D4×D4711yescharacteristic
1713C2×C4C2×D4×D4711yescharacteristic
1714C2×C4C24×D4711yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—941no—
1720C8—941no—
1721C8—941no—
1722C8—941no—
1723C22—21no—
1724C22—22no—
1725C22—21no—
1726C22—21no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—84no—
1736C22—941no—
1737C22—941no—
1738C22—941no—
1739C22—941no—
1740C22—941no—
1741C22—941no—
1742C22—1881no—
1743C22—1881no—
1744C22—1881no—
1745C22—1881no—
1746C22—1881no—
1747C22—1881no—
1748C22—1881no—
1749C22—1881no—
1750C22—1881no—
1751C22—7522no—
1752C22—7522no—
1753C22C22×D4×D4711yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—941no—
1765C4—941no—
1766C4—941no—
1767C4—941no—
1768C4—941no—
1769C4—941no—
1770C4—1881no—
1771C4—1881no—
1772C4—1881no—
1773C4—1881no—
1774C4—1881no—
1775C4C2×#1309407011yescharacteristic
1776C4#1568995911yescharacteristic
1777C2—41no—
1778C2—42no—
1779C2—81no—
1780C2—81no—
1781C2—3761no—
1782C2—3761no—
1783C2—3761no—
1784C2—1881no—
1785C2—1881no—
1786C2#2025704911yescharacteristic
1787C2#2025815711yescharacteristic
1788C2#2025816411yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3105C2
socleC22×C47C23×D4
hypercenter#3105D47
hypocenterC47#62027
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3105

Complements

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

NH ≅ G/Ntype
1. #20257968C2semidirect
2. #20257328C2semidirect
3. #20256450C2semidirect
4. #20256400C2semidirect
5. #20256137C2semidirect
6. #20256038C2semidirect
7. #20255691C2semidirect
8. #20255659C2semidirect
9. #20255646C2semidirect
10. #20255517C2semidirect
11. #20255352C2semidirect
12. #20255243C2semidirect
13. #20255097C2semidirect
14. #20255006C2semidirect
15. #20254999C2semidirect
16. #20254998C2semidirect
17. #20254911C2semidirect
18. #20254881C2semidirect
19. #20254836C2semidirect
20. #20254803C2semidirect
21. #20254784C2semidirect
22. #20254494C2semidirect
23. #20254435C2semidirect
24. #20254366C2semidirect
25. #20253633C2semidirect
26. #20253607C2semidirect
27. #20252928C2semidirect
28. #20252898C2semidirect
29. #20252852C2semidirect
30. #20252539C2semidirect
31. C47×#3105C2semidirect
33. C2×#13094050C22semidirect
37. C2×SD16×D47C22semidirect
40. #15689856C22semidirect
41. #15689856C22semidirect
42. #15689845C22semidirect
43. #15689832C22semidirect
47. #15689808C22semidirect
52. #15689785C22semidirect
54. #15689775C22semidirect
56. #15689770C22semidirect
58. #15689768C22semidirect
61. D4×C22⋊D47C22semidirect
62. #15689738C22semidirect
63. #15689736C22semidirect
64. #15689729C22semidirect
72. #15689693C22semidirect
73. #15689691C22semidirect
74. #15689673C22semidirect
76. #15689657C22semidirect
80. #15689595C22semidirect
81. #15689514C22semidirect
83. #15689507C22semidirect
84. #15689507C22semidirect
85. #15689506C22semidirect
87. #15689486C22semidirect
88. #15689481C22semidirect
89. #15689479C22semidirect
90. #15689478C22semidirect
91. #15689478C22semidirect
92. #15689472C22semidirect
93. #15689460C22semidirect
94. #15689455C22semidirect
95. #15689450C22semidirect
96. #15689449C22semidirect
97. #15689433C22semidirect
98. #15689430C22semidirect
99. #15689429C22semidirect
100. #15689427C22semidirect
101. #15689423C22semidirect
102. #15689420C22semidirect
103. #15689412C22semidirect
104. #15689402C22semidirect
105. #15689379C22semidirect
106. #15689375C22semidirect
108. #15689371C22semidirect
109. #15689370C22semidirect
110. #15689370C22semidirect
111. #15689368C22semidirect
112. #15689367C22semidirect
114. #15689353C22semidirect
115. #15689353C22semidirect
116. #15689351C22semidirect
117. #15689348C22semidirect
118. #15689345C22semidirect
119. #15689342C22semidirect
122. #15689338C22semidirect
123. #15689338C22semidirect
124. #15689338C22semidirect
125. #15689338C22semidirect
126. #15689337C22semidirect
127. #15689337C22semidirect
128. #15689337C22semidirect
130. #15689335C22semidirect
131. #15689334C22semidirect
132. #15689329C22semidirect
133. #15689328C22semidirect
134. #15689328C22semidirect
135. #15689327C22semidirect
136. #15689326C22semidirect
137. #15689324C22semidirect
138. #15689322C22semidirect
139. #15689322C22semidirect
140. #15689322C22semidirect
141. #15689319C22semidirect
143. #15689318C22semidirect
145. #15689287C22semidirect
146. #15689287C22semidirect
149. #15689286C22semidirect
150. #15689280C22semidirect
151. #15689271C22semidirect
153. #15689270C22semidirect
154. #15689267C22semidirect
156. #15689260C22semidirect
158. #15689258C22semidirect
159. #15689258C22semidirect
160. #15689255C22semidirect
161. #15689253C22semidirect
162. C8×Dic94C22semidirect
163. #15689234C22semidirect
164. #15689232C22semidirect
165. #15689229C22semidirect
166. #15689220C22semidirect
167. #15689217C22semidirect
168. #15689214C22semidirect
169. #15689205C22semidirect
171. #15689202C22semidirect
172. #15689198C22semidirect
173. #15689198C22semidirect
174. #15689197C22semidirect
175. #15689197C22semidirect
176. C8×D188C22semidirect
177. #15689183C22semidirect
178. #15689183C22semidirect
179. #15689148C22semidirect
180. #15689148C22semidirect
181. #15689147C22semidirect
182. #15689130C22semidirect
183. #15689123C22semidirect
184. #15689122C22semidirect
185. #15689122C22semidirect
186. #15689116C22semidirect
187. #102×D47C22semidirect
188. C47×#529C22semidirect
189. C2×C4×D4×C47C22semidirect
190. C47×#484C22semidirect
191. C47×#481C22semidirect
192. C47×#478C22semidirect
193. C47×#478C22semidirect
195. C47×#463C22semidirect
196. C47×#450C22semidirect
198. C4×SD16×C47C22semidirect
199. C4×SD16×C47C22semidirect
201. C4×D8×C47C22semidirect
202. C47×#431C22semidirect
909. #3105D47semidirect
971. #529C2×D47semidirect
976. C2×C4×D4C2×D47semidirect
990. #484C2×D47semidirect
994. #481C2×D47semidirect
1001. #478C2×D47semidirect
1002. #478C2×D47semidirect
1032. #463C2×D47semidirect
1053. #450C2×D47semidirect
1073. C4×SD16C2×D47semidirect
1074. C4×SD16C2×D47semidirect
1078. C4×D8C2×D47semidirect
1087. #431C2×D47semidirect
1097. C47#62027semidirect

Maximal subgroups

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

subgroupindex
#202579682
#202573282
#202564502
#202564002
#202561372
#202560382
#202556912
#202556592
#202556462
#202555172
#202553522
#202552432
#202550972
#202550062
#202549992
#202549982
#202549112
#202548812
#202548362
#202548032
#202547842
#202544942
#202544352
#202543662
#202536332
#202536072
#202529282
#202528982
#202528522
#202525392
C47×#31052
#6202747