Finite Group Databasebeta

← #27111759

Subgroups — #27111759

Order 12032.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257897C211yesmaximal, characteristic, complemented
2#20257400C211yesmaximal, characteristic, complemented
3#20256461C211yesmaximal, characteristic, complemented
4#20256453C211yesmaximal, characteristic, complemented
5#20256203C211yesmaximal, characteristic, complemented
6#20256197C211yesmaximal, characteristic, complemented
7#20255614C211yesmaximal, characteristic, complemented
8#20255612C211yesmaximal, characteristic, complemented
9#20255546C211yesmaximal, characteristic, complemented
10#20255544C211yesmaximal, characteristic, complemented
11#20255460C211yesmaximal, characteristic, complemented
12#20255458C211yesmaximal, characteristic, complemented
13#20255045C211yesmaximal, characteristic, complemented
14#20255039C211yesmaximal, characteristic, complemented
15#20254899C211yesmaximal, characteristic, complemented
16#20254883C211yesmaximal, characteristic, complemented
17#20254876C211yesmaximal, characteristic, complemented
18#20254850C211yesmaximal, characteristic, complemented
19#20254845C211yesmaximal, characteristic, complemented
20#20254772C211yesmaximal, characteristic, complemented
21#20254488C211yesmaximal, characteristic, complemented
22#20254486C211yesmaximal, characteristic, complemented
23#20254386C211yesmaximal, characteristic, complemented
24#20253618C211yesmaximal, characteristic, complemented
25#20253610C211yesmaximal, characteristic, complemented
26#20253537C211yesmaximal, characteristic, complemented
27#20252911C211yesmaximal, characteristic, complemented
28#20252906C211yesmaximal, characteristic, complemented
29#20252879C211yesmaximal, characteristic, complemented
30#20252554C211yesmaximal, characteristic, complemented
31C47×#3266C211yesmaximal, characteristic, complemented
32C2×#13094056C2211yescharacteristic, complemented
33C2×#13094055C2211yescharacteristic, complemented
34C2×#13094051C2211yescharacteristic
35C22×#10625336C2211yescharacteristic, complemented
36#15689870—21no—
37#15689866—21no—
38#15689856C2211yescharacteristic
39#15689855C2211yescharacteristic
40Q8×Dic94C2211yescharacteristic, complemented
41#15689847—21no—
42#15689847C2211yescharacteristic, complemented
43#15689844—21no—
44#15689844—21no—
45#15689844C2211yescharacteristic, complemented
46#15689844C2211yescharacteristic, complemented
47#15689838—21no—
48#15689838C2211yescharacteristic, complemented
49#15689784C2211yescharacteristic, complemented
50#15689784C2211yescharacteristic, complemented
51#15689783C2211yescharacteristic
52#15689780C2211yescharacteristic
53#15689770—21no—
54#15689769C2211yescharacteristic
55#15689763—21no—
56#15689757C2211yescharacteristic
57D4×C22⋊D47C2211yescharacteristic
58#15689746—21no—
59#15689746—21no—
60#15689746C2211yescharacteristic
61#15689746C2211yescharacteristic, complemented
62#15689746C2211yescharacteristic, complemented
63#15689740C2211yescharacteristic
64#15689711—21no—
65#15689709—21no—
66#15689705—21no—
67#15689690C2211yescharacteristic
68#15689687C2211yescharacteristic
69#15689683—21no—
70#15689678—21no—
71#15689678C2211yescharacteristic, complemented
72#15689670C2211yescharacteristic
73#15689655—21no—
74#15689655C2211yescharacteristic
75#124×D47C2211yescharacteristic
76#15689601C2211yescharacteristic, complemented
77#15689601C2211yescharacteristic, complemented
78C4×#10625354C2211yescharacteristic, complemented
79#15689515C2211yescharacteristic, complemented
80#15689509C2211yescharacteristic
81#15689509C2211yescharacteristic
82#15689508C2211yescharacteristic, complemented
83#15689504C2211yescharacteristic, complemented
84#15689484C2211yescharacteristic, complemented
85#15689483C2211yescharacteristic, complemented
86#15689482C2211yescharacteristic, complemented
87#15689481C2211yescharacteristic, complemented
88#15689468C2211yescharacteristic
89#15689468C2211yescharacteristic
90#15689465C2211yescharacteristic, complemented
91#15689461C2211yescharacteristic, complemented
92#15689450C2211yescharacteristic, complemented
93#15689448C2211yescharacteristic
94#15689446C2211yescharacteristic, complemented
95#15689444C2211yescharacteristic
96#15689417C2211yescharacteristic, complemented
97#15689416C2211yescharacteristic, complemented
98#15689416C2211yescharacteristic, complemented
99#15689416C2211yescharacteristic, complemented
100#15689406C2211yescharacteristic, complemented
101#15689404C2211yescharacteristic, complemented
102#15689403C2211yescharacteristic, complemented
103#15689402C2211yescharacteristic, complemented
104#15689402C2211yescharacteristic, complemented
105#15689401C2211yescharacteristic, complemented
106#15689372C2211yescharacteristic, complemented
107#15689372C2211yescharacteristic, complemented
108#15689371C2211yescharacteristic
109#15689371C2211yescharacteristic, complemented
110#15689369C2211yescharacteristic, complemented
111#15689366C2211yescharacteristic, complemented
112#15689366C2211yescharacteristic, complemented
113#15689362C2211yescharacteristic, complemented
114#15689359C2211yescharacteristic
115#15689357C2211yescharacteristic
116#15689348C2211yescharacteristic, complemented
117#15689347C2211yescharacteristic, complemented
118#15689347C2211yescharacteristic, complemented
119#15689347C2211yescharacteristic, complemented
120#15689347C2211yescharacteristic, complemented
121#15689347C2211yescharacteristic, complemented
122#15689347C2211yescharacteristic, complemented
123#15689345C2211yescharacteristic, complemented
124#15689343C2211yescharacteristic, complemented
125#15689343C2211yescharacteristic, complemented
126#15689343C2211yescharacteristic, complemented
127#15689343C2211yescharacteristic, complemented
128#15689343C2211yescharacteristic, complemented
129#15689341C2211yescharacteristic, complemented
130#15689341C2211yescharacteristic, complemented
131#15689340C2211yescharacteristic, complemented
132#15689339C2211yescharacteristic, complemented
133#15689337C2211yescharacteristic, complemented
134#15689335C2211yescharacteristic, complemented
135#15689325C2211yescharacteristic, complemented
136#15689321C2211yescharacteristic
137#15689321C2211yescharacteristic
138#15689321C2211yescharacteristic
139#15689321C2211yescharacteristic
140#15689321C2211yescharacteristic, complemented
141#15689321C2211yescharacteristic, complemented
142#15689321C2211yescharacteristic, complemented
143#15689317C2211yescharacteristic, complemented
144#15689283C2211yescharacteristic, complemented
145#15689279C2211yescharacteristic, complemented
146#15689277C2211yescharacteristic, complemented
147#15689277C2211yescharacteristic, complemented
148#15689273C2211yescharacteristic, complemented
149#15689272C2211yescharacteristic
150#15689272C2211yescharacteristic
151#15689271C2211yescharacteristic, complemented
152#15689270C2211yescharacteristic, complemented
153#15689268C2211yescharacteristic, complemented
154#15689267C2211yescharacteristic, complemented
155#15689262C2211yescharacteristic
156#15689259C2211yescharacteristic, complemented
157#15689257C2211yescharacteristic, complemented
158#15689252C2211yescharacteristic, complemented
159#15689251C2211yescharacteristic, complemented
160#15689236C2211yescharacteristic, complemented
161#15689233C2211yescharacteristic, complemented
162#15689230C2211yescharacteristic, complemented
163#15689227C2211yescharacteristic, complemented
164#15689226C2211yescharacteristic, complemented
165#15689224C2211yescharacteristic, complemented
166#15689221C2211yescharacteristic, complemented
167Q16×Dic47C2211yescharacteristic, complemented
168#15689215C2211yescharacteristic, complemented
169SD16×Dic47C2211yescharacteristic, complemented
170#15689208C2211yescharacteristic, complemented
171#15689199C2211yescharacteristic, complemented
172#15689198C2211yescharacteristic, complemented
173#15689195C2211yescharacteristic, complemented
174#15689194C2211yescharacteristic, complemented
175#15689191C2211yescharacteristic, complemented
176#15689181C2211yescharacteristic, complemented
177#15689181C2211yescharacteristic, complemented
178#15689178C2211yescharacteristic, complemented
179#15689151C2211yescharacteristic, complemented
180#15689149C2211yescharacteristic, complemented
181#15689145C2211yescharacteristic, complemented
182#15689130C2211yescharacteristic, complemented
183#15689129C2211yescharacteristic, complemented
184#15689128C2211yescharacteristic, complemented
185#15689126C2211yescharacteristic
186#15689120C2211yescharacteristic, complemented
187#15689119C2211yescharacteristic, complemented
188C2×#137×C47C2211yescharacteristic, complemented
189C22×SD16×C47C2211yescharacteristic, complemented
190D4×Q8×C47C2211yescharacteristic, complemented
191C47×#546C2211yescharacteristic
192C47×#497C2211yescharacteristic, complemented
193C47×#468C2211yescharacteristic
194C47×#467C2211yescharacteristic, complemented
195C47×#464C2211yescharacteristic, complemented
196C47×#461C2211yescharacteristic, complemented
197C47×#452C2211yescharacteristic, complemented
198C47×#451C2211yescharacteristic, complemented
199C47×#450C2211yescharacteristic, complemented
200C47×#448C2211yescharacteristic
201C47×#440C2211yescharacteristic, complemented
202C47×#435C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625350—21no—
205C2×#10625350C2311yescharacteristic
206C2×Q8×D47C2311yescharacteristic
207C22×D188C2311yescharacteristic
208C22×C22⋊D47—21no—
209C2×D4×D47—21no—
210C2×D4×D47C2311yescharacteristic
211#13094056—42no—
212#13094055—42no—
213#13094051—42no—
214C2×#10625337C2311yescharacteristic
215C2×#10625337C2311yescharacteristic
216C2×#10625337C2311yescharacteristic
217C2×#10625325C2311yescharacteristic
218C2×#10625336—42no—
219C2×#10625336C2311yescharacteristic
220C2×#10625336C2311yescharacteristic
221C2×#10625336C2311yescharacteristic
222C2×#10625336C2311yescharacteristic
223C2×#10625336C2311yescharacteristic
224C2×#10625336C2311yescharacteristic
225C2×#10625336C2311yescharacteristic
226C2×D376C2311yescharacteristic
227C2×D376C2311yescharacteristic
228C2×#10625334C2311yescharacteristic
229C2×#10625334C2311yescharacteristic
230C2×#10625329C2311yescharacteristic
231C2×#10625324C2311yescharacteristic
232C2×#10625324C2311yescharacteristic
233C22×C47⋊C8C2311yescharacteristic
234#13094024—21no—
235#13094024C2311yescharacteristic
236#13094023—21no—
237#13094023—21no—
238#13094023C2311yescharacteristic
239#13094023C2311yescharacteristic
240#13094023C2311yescharacteristic
241#13094020C2311yescharacteristic
242#13094020C2311yescharacteristic
243#13094020C2311yescharacteristic
244#13094019—21no—
245#13094019—21no—
246#13094019—21no—
247#13094019—21no—
248#13094019—21no—
249#13094019—21no—
250#13094019—21no—
251#13094017—21no—
252#13094017—21no—
253#13094017—21no—
254#13094017D411yescharacteristic
255#13094017D411yescharacteristic
256#13094015—21no—
257#13094015D411yescharacteristic
258#13094013—21no—
259#13094013—21no—
260#13094013C2311yescharacteristic
261#13094013C2311yescharacteristic
262#13094013C2311yescharacteristic
263#13094013C2311yescharacteristic
264#13094012C2311yescharacteristic
265#13094011—21no—
266#13094011—21no—
267#13094011D411yescharacteristic
268#13094011C2311yescharacteristic
269#13094011C2311yescharacteristic
270#13094010—21no—
271#13094010—21no—
272#13094010—21no—
273#13094010—21no—
274#13094010—21no—
275#13094010—21no—
276#13094010—21no—
277#13094010—21no—
278#13094010—21no—
279#13094010—21no—
280#13094010—21no—
281#13094010—21no—
282#13094010—21no—
283#13094009—21no—
284#13094008—21no—
285#13094007—21no—
286#13094006—21no—
287#13094006—21no—
288#13094006—21no—
289#13094006—21no—
290#13094006—21no—
291#13094006D411yescharacteristic
292#13094006D411yescharacteristic
293#13094005—21no—
294#13094004—21no—
295#13094004—21no—
296#13094004—21no—
297#13094004—21no—
298#13094004—21no—
299#13094004D411yescharacteristic
300#13094003—21no—
301#13094003C2311yescharacteristic
302#13094002—21no—
303#13094001—21no—
304#13094000—21no—
305#13094000—21no—
306#13094000C2311yescharacteristic
307#13094000C2311yescharacteristic
308#13093999C2311yescharacteristic
309#13093998—21no—
310#13093998—21no—
311#13093998—21no—
312#13093998—21no—
313#13093998C2311yescharacteristic
314#13093998C2311yescharacteristic
315#13093998C2311yescharacteristic
316#13093997—21no—
317#13093997—21no—
318#13093997—21no—
319#13093997—21no—
320#13093996—21no—
321#13093995—21no—
322#13093995—21no—
323#13093995—21no—
324#13093995—21no—
325#13093995D411yescharacteristic
326#13093995C2311yescharacteristic
327#13093994—21no—
328#13093993—21no—
329#13093993—21no—
330#13093993—21no—
331#13093992—21no—
332#13093992—21no—
333#13093992—21no—
334#13093992—21no—
335#13093992—21no—
336Q8×Dic47—21no—
337Q8×Dic47—21no—
338Q8×Dic47—21no—
339Q8×Dic47—21no—
340Q8×Dic47C2311yescharacteristic
341Q8×Dic47C2311yescharacteristic
342Q8×Dic47C2311yescharacteristic
343Q8×Dic47C2311yescharacteristic
344Q8×Dic47C2311yescharacteristic
345Q8×Dic47C2311yescharacteristic
346Q8×Dic47C2311yescharacteristic
347Q8×Dic47C2311yescharacteristic
348C4×Dic94—21no—
349C4×Dic94C2311yescharacteristic
350#13093989—21no—
351#13093989—21no—
352#13093989—21no—
353#13093989C2311yescharacteristic
354C4×D188—21no—
355C4×D188C2311yescharacteristic
356C4×D188C2311yescharacteristic
357D4×Dic47C2311yescharacteristic
358#13093986—21no—
359#13093986—21no—
360#13093986C2311yescharacteristic
361#13093986C2311yescharacteristic
362C4×C22⋊D47—21no—
363C4×C22⋊D47—21no—
364C4×C22⋊D47—21no—
365C4×C22⋊D47—21no—
366C4×C22⋊D47—21no—
367C4×C22⋊D47C2311yescharacteristic
368C4×C22⋊D47C2311yescharacteristic
369(C22⋊D47)⋊C4—21no—
370#13093983—21no—
371#13093983—21no—
372#13093983—21no—
373#13093983—21no—
374#13093983C2311yescharacteristic
375#13093983C2311yescharacteristic
376#13093983C2311yescharacteristic
377#13093983C2311yescharacteristic
378#13093982—21no—
379#13093982—21no—
380#13093982—21no—
381#13093982—21no—
382#13093982C2311yescharacteristic
383C22⋊C4×D47—21no—
384C22⋊C4×D47—21no—
385C22⋊C4×D47—21no—
386C42×D47—21no—
387C42×D47C2311yescharacteristic
388#13093958C2311yescharacteristic
389#13093958C2311yescharacteristic
390#13093957C2311yescharacteristic
391#13093957C2311yescharacteristic
392#13093957C2311yescharacteristic
393#13093956C2311yescharacteristic
394#13093955C2311yescharacteristic
395C4⋊(C47⋊C8)C2311yescharacteristic
396Dic47⋊C8C2311yescharacteristic
397Dic47⋊C8C2311yescharacteristic
398Dic47⋊C8C2311yescharacteristic
399Dic47⋊C8C2311yescharacteristic
400Dic47⋊C8C2311yescharacteristic
401Dic47⋊C8C2311yescharacteristic
402Dic47⋊C8C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404#13093949C2311yescharacteristic
405#13093949C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093948C2311yescharacteristic
408#13093948C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093947C2311yescharacteristic
414#13093946C2311yescharacteristic
415#13093946C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429#13093944C2311yescharacteristic
430C22⋊(C47⋊C8)C2311yescharacteristic
431C22⋊(C47⋊C8)C2311yescharacteristic
432(C2×D47)⋊C8C2311yescharacteristic
433(C2×D47)⋊C8C2311yescharacteristic
434#13093935C2311yescharacteristic
435#13093934C2311yescharacteristic
436#13093934C2311yescharacteristic
437C8×Dic47C2311yescharacteristic
438C8×Dic47C2311yescharacteristic
439C2×#41×C47C2311yescharacteristic
440C22×Q8×C47C2311yescharacteristic
441C22×Q8×C47C2311yescharacteristic
442C22×D4×C47C2311yescharacteristic
443#137×C47—42no—
444C2×Q16×C47C2311yescharacteristic
445C2×Q16×C47C2311yescharacteristic
446C2×Q16×C47C2311yescharacteristic
447C2×SD16×C47—42no—
448C2×SD16×C47C2311yescharacteristic
449C2×SD16×C47C2311yescharacteristic
450C2×SD16×C47C2311yescharacteristic
451C2×SD16×C47C2311yescharacteristic
452C2×SD16×C47C2311yescharacteristic
453C2×SD16×C47C2311yescharacteristic
454C2×M16×C47C2311yescharacteristic
455C22×C8×C47C2311yescharacteristic
456C4⋊Q8×C47—21no—
457C4⋊Q8×C47C2311yescharacteristic
458#124×C47C2311yescharacteristic
459#123×C47—21no—
460C22⋊Q8×C47—21no—
461C22⋊Q8×C47—21no—
462C22⋊Q8×C47C2311yescharacteristic
463C22⋊Q8×C47C2311yescharacteristic
464C22⋊Q8×C47C2311yescharacteristic
465#121×C47—21no—
466#121×C47C2311yescharacteristic
467#120×C47—21no—
468C4×Q8×C47C2311yescharacteristic
469C4×D4×C47—21no—
470C4×D4×C47C2311yescharacteristic
471C4×D4×C47C2311yescharacteristic
472C2×C22⋊C4×C47—21no—
473#107×C47C2311yescharacteristic
474C4⋊C8×C47C2311yescharacteristic
475#103×C47C2311yescharacteristic
476#103×C47C2311yescharacteristic
477#103×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481C22⋊C8×C47C2311yescharacteristic
482C22⋊C8×C47C2311yescharacteristic
483#97×C47C2311yescharacteristic
484C24×C47—21no—
485C23×D47—21no—
486C23×D47—21no—
487#41×C47—41no—
488#41×C47—41no—
489C2×Q8×C47—21no—
490C2×Q8×C47—21no—
491C2×Q8×C47—22no—
492C2×Q8×C47—22no—
493C2×Q8×C47—41no—
494C2×Q8×C47—41no—
495C2×Q8×C47C2411yescharacteristic
496C2×Q8×C47C2411yescharacteristic
497C2×Q8×C47C2411yescharacteristic
498C2×Q8×C47C2411yescharacteristic
499C2×D4×C47—21no—
500C2×D4×C47—21no—
501C2×D4×C47—21no—
502C2×D4×C47—41no—
503C2×D4×C47—41no—
504C2×D4×C47C2×D411yescharacteristic
505C2×D4×C47C2411yescharacteristic
506C2×D4×C47C2411yescharacteristic
507C22×C4×C47—21no—
508C22×C4×C47—21no—
509C22×C4×C47—21no—
510C22×C4×C47—21no—
511C22×C4×C47C2411yescharacteristic
512C22×C4×C47C2411yescharacteristic
513C2×C22⋊D47—21no—
514C2×C22⋊D47—21no—
515C2×C22⋊D47—21no—
516C2×C22⋊D47—21no—
517C2×C22⋊D47—21no—
518C2×C22⋊D47—21no—
519C2×C22⋊D47—21no—
520C2×C22⋊D47—21no—
521C2×C22⋊D47—21no—
522C2×C22⋊D47—21no—
523C2×C22⋊D47—21no—
524C2×C22⋊D47—21no—
525C2×C22⋊D47—82no—
526C2×C22⋊D47C2×D411yescharacteristic
527C2×C22⋊D47C2×D411yescharacteristic
528C22×Dic47—21no—
529#10625354—22no—
530#10625354—41no—
531Q8×D47—41no—
532Q8×D47—41no—
533D4×D47—41no—
534D4×D47—41no—
535D4×D47—82no—
536#10625350—41no—
537#10625350—41no—
538#10625350—82no—
539C2×D188—21no—
540C2×D188—21no—
541C2×D188—21no—
542C2×D188—41no—
543C2×D188—41no—
544C2×D188C2411yescharacteristic
545C2×D188C2411yescharacteristic
546C2×D188C2411yescharacteristic
547C2×C4×D47—21no—
548C2×C4×D47—21no—
549C2×C4×D47—21no—
550C2×C4×D47—21no—
551C2×C4×D47—21no—
552C2×C4×D47—21no—
553C2×C4×D47—21no—
554C2×C4×D47C2×D411yescharacteristic
555C2×C4×D47C2×D411yescharacteristic
556C2×C4×D47C2411yescharacteristic
557C2×Dic94—21no—
558C2×Dic94—21no—
559C2×Dic94—21no—
560C2×Dic94—21no—
561C2×Dic94—21no—
562C2×Dic94C2×D411yescharacteristic
563C2×Dic94C2411yescharacteristic
564Q16×C47—22no—
565Q16×C47—41no—
566Q16×C47—41no—
567SD16×C47—22no—
568SD16×C47—22no—
569SD16×C47—41no—
570SD16×C47—41no—
571SD16×C47—41no—
572SD16×C47—41no—
573M16×C47—41no—
574C2×C8×C47—41no—
575C2×C8×C47C2411yescharacteristic
576C2×C8×C47C2411yescharacteristic
577C2×C8×C47C2411yescharacteristic
578C2×C8×C47C2411yescharacteristic
579C4⋊C4×C47—21no—
580C4⋊C4×C47—21no—
581C4⋊C4×C47—21no—
582C4⋊C4×C47—21no—
583C4⋊C4×C47—21no—
584C4⋊C4×C47—21no—
585C4⋊C4×C47C2×D411yescharacteristic
586C4⋊C4×C47C2411yescharacteristic
587C4⋊C4×C47C2411yescharacteristic
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—
595C22⋊C4×C47C2×D411yescharacteristic
596C22⋊C4×C47C2×D411yescharacteristic
597C42×C47—21no—
598C42×C47C2411yescharacteristic
599C22⋊Dic47—21no—
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⋊Dic47C2×D411yescharacteristic
609C22⋊Dic47C2×D411yescharacteristic
610C22⋊Dic47C2×D411yescharacteristic
611C22⋊Dic47C2×D411yescharacteristic
612C22⋊Dic47C2×D411yescharacteristic
613C22⋊Dic47C2×D411yescharacteristic
614#10625337—22no—
615#10625337—41no—
616#10625337—41no—
617#10625336—22no—
618#10625336—22no—
619#10625336—41no—
620#10625336—41no—
621#10625336—41no—
622#10625336—41no—
623#10625336—41no—
624#10625334—41no—
625#10625334—41no—
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)⋊C4—21no—
644(C2×D47)⋊C4—21no—
645(C2×D47)⋊C4—21no—
646(C2×D47)⋊C4—21no—
647(C2×D47)⋊C4C2×D411yescharacteristic
648(C2×D47)⋊C4C2×D411yescharacteristic
649C4⋊Dic47—21no—
650C4⋊Dic47—21no—
651C4⋊Dic47—21no—
652C4⋊Dic47—21no—
653C4⋊Dic47—21no—
654C4⋊Dic47—21no—
655C4⋊Dic47—21no—
656C4⋊Dic47—21no—
657C4⋊Dic47—21no—
658C4⋊Dic47C2×D411yescharacteristic
659C4⋊Dic47C2×D411yescharacteristic
660C4⋊Dic47C2×D411yescharacteristic
661C4⋊Dic47C2×D411yescharacteristic
662C4⋊Dic47C2×D411yescharacteristic
663C4⋊Dic47C2411yescharacteristic
664C4⋊Dic47C2411yescharacteristic
665C4⋊Dic47C2411yescharacteristic
666C4⋊Dic47C2411yescharacteristic
667Dic47⋊C4—21no—
668Dic47⋊C4—21no—
669Dic47⋊C4—21no—
670Dic47⋊C4—21no—
671Dic47⋊C4—21no—
672Dic47⋊C4—21no—
673Dic47⋊C4—21no—
674Dic47⋊C4C2×D411yescharacteristic
675Dic47⋊C4C2×D411yescharacteristic
676Dic47⋊C4C2×D411yescharacteristic
677Dic47⋊C4C2×D411yescharacteristic
678C4×Dic47—21no—
679C4×Dic47—21no—
680C4×Dic47—21no—
681C4×Dic47—21no—
682C4×Dic47—21no—
683C4×Dic47—21no—
684C4×Dic47—21no—
685C4×Dic47—21no—
686C4×Dic47—21no—
687C4×Dic47—21no—
688C4×Dic47—21no—
689C4×Dic47—21no—
690C4×Dic47C2×D411yescharacteristic
691C4×Dic47C2×D411yescharacteristic
692C4×Dic47C2411yescharacteristic
693C4×Dic47C2411yescharacteristic
694C4×Dic47C2411yescharacteristic
695#10625329—41no—
696C2×C47⋊C8—41no—
697C2×C47⋊C8C2411yescharacteristic
698C2×C47⋊C8C2411yescharacteristic
699C2×C47⋊C8C2411yescharacteristic
700C2×C47⋊C8C2411yescharacteristic
701D376—41no—
702D376—41no—
703#10625325—41no—
704#10625324—41no—
705#10625324—41no—
706C23×C47—21no—
707C23×C47—21no—
708C23×C47—81no—
709C23×C47—81no—
710C23×C47—81no—
711C23×C47C22×D411yescharacteristic
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
723Q8×C47—21no—
724Q8×C47—21no—
725Q8×C47—21no—
726Q8×C47—21no—
727Q8×C47—21no—
728Q8×C47—21no—
729Q8×C47—21no—
730Q8×C47—42no—
731Q8×C47—42no—
732Q8×C47H(5,𝔽2)12yes—
733D4×C47—21no—
734D4×C47—21no—
735D4×C47—21no—
736D4×C47—21no—
737D4×C47—41no—
738D4×C47—81no—
739D4×C47—81no—
740D4×C47—81no—
741C2×C4×C47—21no—
742C2×C4×C47—21no—
743C2×C4×C47—21no—
744C2×C4×C47—21no—
745C2×C4×C47—21no—
746C2×C4×C47—21no—
747C2×C4×C47—21no—
748C2×C4×C47—21no—
749C2×C4×C47—21no—
750C2×C4×C47—21no—
751C2×C4×C47—42no—
752C2×C4×C47—42no—
753C2×C4×C47—81no—
754C2×C4×C47—81no—
755C2×C4×C47C22×D411yescharacteristic
756C2×C4×C47C22×D411yescharacteristic
757C2×C4×C47C22×D411yescharacteristic
758C2×C4×C47C22×D411yescharacteristic
759C2×C4×C47C2511yescharacteristic
760C22⋊D47—41no—
761C22⋊D47—41no—
762C22⋊D47—42no—
763C22⋊D47—81no—
764C22⋊D47—81no—
765C22⋊D47—81no—
766C22⋊D47—81no—
767C22⋊D47—81no—
768C22⋊D47—81no—
769C22⋊D47—81no—
770C22⋊D47—81no—
771C22⋊D47—81no—
772C22⋊D47—81no—
773C22⋊D47—81no—
774C2×Dic47—21no—
775C2×Dic47—21no—
776C2×Dic47—21no—
777C2×Dic47—21no—
778C2×Dic47—21no—
779C2×Dic47—81no—
780C2×Dic47C22×D411yescharacteristic
781C2×Dic47C22×D411yescharacteristic
782C2×Dic47C22×D411yescharacteristic
783C2×Dic47C22×D411yescharacteristic
784C2×Dic47C22×D411yescharacteristic
785C2×Dic47C22×D411yescharacteristic
786C2×Dic47C22×D411yescharacteristic
787D188—21no—
788D188—21no—
789D188—21no—
790D188—21no—
791D188—21no—
792D188—21no—
793D188—42no—
794D188—42no—
795D188—81no—
796C4×D47—21no—
797C4×D47—21no—
798C4×D47—41no—
799C4×D47—41no—
800C4×D47—42no—
801C4×D47—42no—
802C4×D47—81no—
803C4×D47—81no—
804C4×D47—81no—
805C4×D47—81no—
806C4×D47—81no—
807Dic94—21no—
808Dic94—21no—
809Dic94—41no—
810Dic94—81no—
811Dic94—81no—
812Dic94—81no—
813Dic94—81no—
814Dic94—81no—
815C8×C47—21no—
816C8×C47—21no—
817C8×C47—21no—
818C8×C47—21no—
819C47⋊C8—21no—
820C47⋊C8—21no—
821C47⋊C8—21no—
822C47⋊C8—21no—
823#62092—471nomaximal, Sylow
824C22×C47—21no—
825C22×C47—21no—
826C22×C47—21no—
827C22×C47—21no—
828C22×C47—21no—
829C22×C47—21no—
830C22×C47—41no—
831C22×C47—41no—
832C22×C47—41no—
833C22×C47—41no—
834C22×C47—41no—
835C22×C47—41no—
836C22×C47—162no—
837C22×C47C23×D411yescharacteristic
838C2×D47—21no—
839C2×D47—21no—
840C2×D47—21no—
841C2×D47—41no—
842C2×D47—41no—
843C2×D47—41no—
844C2×D47—41no—
845C2×D47—41no—
846C2×D47—41no—
847C2×D47—41no—
848C2×D47—41no—
849C2×D47—41no—
850C2×D47—162no—
851C2×D47—162no—
852C4×C47—21no—
853C4×C47—21no—
854C4×C47—22no—
855C4×C47—21no—
856C4×C47—21no—
857C4×C47—41no—
858C4×C47—41no—
859C4×C47—41no—
860C4×C47—41no—
861C4×C47—41no—
862C4×C47C2×H(5,𝔽2)11yescharacteristic
863C4×C47#58511yescharacteristic
864Dic47—21no—
865Dic47—21no—
866Dic47—21no—
867Dic47—21no—
868Dic47—21no—
869Dic47—21no—
870Dic47—21no—
871Dic47—41no—
872Dic47—41no—
873Dic47—41no—
874Dic47—41no—
875Dic47—41no—
876#3558—471no—
877#3518—471no—
878#3401—471no—
879#3401—471no—
880#3375—471no—
881#3375—471no—
882#3324—471no—
883#3324—471no—
884#3319—471no—
885#3319—471no—
886#3313—471no—
887#3313—471no—
888#3277—471no—
889#3277—471no—
890#3266—471no—
891#3266D4711yescharacteristic, complemented
892#3265—471no—
893#3265—471no—
894#3262—471no—
895#3262—471no—
896#3254—471no—
897#3224—471no—
898#3224—471no—
899#3215—471no—
900#3121—471no—
901#3121—471no—
902#3115—471no—
903#3043—471no—
904#3043—471no—
905#3040—471no—
906#2995—471no—
907C2×C47—41no—
908C2×C47—41no—
909C2×C47—81no—
910C2×C47—81no—
911C2×C47#348811yescharacteristic
912C2×C47#358511yescharacteristic
913C2×C47#358611yescharacteristic
914D47—41no—
915D47—81no—
916D47—81no—
917D47—81no—
918C2×#137—471no—
919C2×#137—471no—
920C2×#137C2×D4711yescharacteristic, complemented
921C2×AGL(1,ℤ/8)—471no—
922C22×SD16—471no—
923C22×SD16C2×D4711yescharacteristic, complemented
924#562—941no—
925H(3,𝔽4)—941no—
926#559—471no—
927#559—471no—
928Q82—471no—
929#556—471no—
930#556—471no—
931#556—471no—
932#556—941no—
933#556—941no—
934#556—941no—
935#555—471no—
936#555—941no—
937D4×Q8C2×D4711yescharacteristic, complemented
938#548—471no—
939#548—471no—
940#548—471no—
941#548—471no—
942#546—471no—
943#546—941no—
944#546—941no—
945#546C2×D4711yescharacteristic
946D42—471no—
947D42—471no—
948#542—471no—
949#542—471no—
950#542—471no—
951#542—471no—
952#542—941no—
953#542—941no—
954#538—941no—
955#538—941no—
956#538—941no—
957#535—471no—
958#535—471no—
959#534—941no—
960#533—471no—
961#533—941no—
962#532—471no—
963#529—471no—
964#529—941no—
965C2×#124—471no—
966#519—471no—
967#519—471no—
968C4×#41—471no—
969#497—471no—
970#497C2×D4711yescharacteristic, complemented
971#496—471no—
972#496—471no—
973#495—471no—
974#495—471no—
975#489—471no—
976#489—471no—
977#489—471no—
978#489—471no—
979#486—471no—
980#486—471no—
981#485—471no—
982#485—471no—
983#482—471no—
984#482—471no—
985#482—471no—
986#482—471no—
987#477—471no—
988#477—471no—
989#477—471no—
990#477—471no—
991#475—471no—
992#474—471no—
993#474—471no—
994#474—471no—
995#474—471no—
996#474—471no—
997#468—471no—
998#468—471no—
999#468—471no—
1000#468—471no—
1001#468—471no—
1002#468—471no—
1003#468—471no—
1004#468C2×D4711yescharacteristic
1005#467—471no—
1006#467C2×D4711yescharacteristic, complemented
1007#466—471no—
1008#466—471no—
1009#464—471no—
1010#464—471no—
1011#464—471no—
1012#464—471no—
1013#464—471no—
1014#464—471no—
1015#464—471no—
1016#464—471no—
1017#464—471no—
1018#464—471no—
1019#464—471no—
1020#464—471no—
1021#464—471no—
1022#464C2×D4711yescharacteristic, complemented
1023#463—471no—
1024#463—471no—
1025#463—471no—
1026#463—471no—
1027#463—471no—
1028#463—471no—
1029#461—471no—
1030#461C2×D4711yescharacteristic, complemented
1031#460—471no—
1032#460—471no—
1033#460—471no—
1034#460—471no—
1035#460—471no—
1036#460—471no—
1037#460—471no—
1038#459—471no—
1039#452—471no—
1040#452C2×D4711yescharacteristic, complemented
1041#451—471no—
1042#451—471no—
1043#451—471no—
1044#451C2×D4711yescharacteristic, complemented
1045#450—471no—
1046#450—471no—
1047#450—471no—
1048#450C2×D4711yescharacteristic, complemented
1049#449—471no—
1050#449—471no—
1051#449—471no—
1052#449—471no—
1053#448—471no—
1054#448C2×D4711yescharacteristic
1055#447—471no—
1056#447—471no—
1057#446—471no—
1058#446—471no—
1059#442—471no—
1060#442—471no—
1061#441—471no—
1062#441—471no—
1063#440—471no—
1064#440—471no—
1065#440—471no—
1066#440C2×D4711yescharacteristic, complemented
1067C4×Q16—471no—
1068C4×Q16—471no—
1069C4×SD16—471no—
1070C4×SD16—471no—
1071#436—471no—
1072#436—471no—
1073#435—471no—
1074#435—471no—
1075#435—471no—
1076#435C2×D4711yescharacteristic, complemented
1077#433—471no—
1078#433—471no—
1079#432—471no—
1080#424—471no—
1081#424—471no—
1082#423—471no—
1083#419—471no—
1084#418—471no—
1085#418—471no—
1086#418—471no—
1087#416—471no—
1088#416—471no—
1089C47#6209211yescharacteristic, complemented, Sylow
1090C2×#41—471no—
1091C2×#41—471no—
1092C2×#41—941no—
1093C2×#41C22×D4711yescharacteristic
1094C22×Q8—471no—
1095C22×Q8C22×D4711yescharacteristic
1096C22×Q8C22×D4711yescharacteristic
1097C22×D4—471no—
1098C22×D4—471no—
1099C22×D4—941no—
1100C22×D4—941no—
1101C22×D4C22×D4711yescharacteristic
1102#137—42no—
1103#137—1882no—
1104#137—1882no—
1105AGL(1,ℤ/8)—1882no—
1106C2×Q16—471no—
1107C2×Q16—471no—
1108C2×Q16—471no—
1109C2×Q16C22×D4711yescharacteristic
1110C2×Q16C22×D4711yescharacteristic
1111C2×Q16C22×D4711yescharacteristic
1112C2×SD16—42no—
1113C2×SD16—471no—
1114C2×SD16—471no—
1115C2×SD16—471no—
1116C2×SD16—471no—
1117C2×SD16—471no—
1118C2×SD16—471no—
1119C2×SD16—471no—
1120C2×SD16—471no—
1121C2×SD16—1882no—
1122C2×SD16C22×D4711yescharacteristic
1123C2×SD16C22×D4711yescharacteristic
1124C2×SD16C22×D4711yescharacteristic
1125C2×SD16C22×D4711yescharacteristic
1126C2×SD16C22×D4711yescharacteristic
1127C2×SD16C22×D4711yescharacteristic
1128C2×D8—471no—
1129C2×D8—471no—
1130C2×D8—471no—
1131C2×D8—471no—
1132C2×M16—471no—
1133C2×M16—471no—
1134C2×M16—471no—
1135C2×M16C22×D4711yescharacteristic
1136C22×C8—471no—
1137C22×C8C22×D4711yescharacteristic
1138C4⋊Q8—21no—
1139C4⋊Q8—471no—
1140C4⋊Q8—471no—
1141C4⋊Q8—471no—
1142C4⋊Q8—471no—
1143C4⋊Q8—941no—
1144C4⋊Q8—941no—
1145C4⋊Q8—941no—
1146C4⋊Q8C22×D4711yescharacteristic
1147#127—471no—
1148#127—471no—
1149#127—471no—
1150#126—471no—
1151#126—471no—
1152#126—941no—
1153#126—941no—
1154#126—941no—
1155#126—941no—
1156#126—941no—
1157#126—941no—
1158#126—941no—
1159#126—941no—
1160#126—941no—
1161#126—941no—
1162#125—471no—
1163#125—941no—
1164#124—471no—
1165#124—471no—
1166#124—471no—
1167#124—471no—
1168#124—471no—
1169#124—471no—
1170#124—471no—
1171#124—471no—
1172#124—941no—
1173#124—941no—
1174#124—941no—
1175#124—941no—
1176#124—941no—
1177#124—941no—
1178#124—941no—
1179#124—941no—
1180#124—941no—
1181#124—941no—
1182#124—941no—
1183#124—941no—
1184#124—941no—
1185#124—941no—
1186#124—941no—
1187#124—941no—
1188#124—941no—
1189#124C22×D4711yescharacteristic
1190#123—21no—
1191#123—471no—
1192#123—471no—
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—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—471no—
1205C22⋊Q8—471no—
1206C22⋊Q8—471no—
1207C22⋊Q8—471no—
1208C22⋊Q8—941no—
1209C22⋊Q8—941no—
1210C22⋊Q8—941no—
1211C22⋊Q8—941no—
1212C22⋊Q8—941no—
1213C22⋊Q8—941no—
1214C22⋊Q8—941no—
1215C22⋊Q8—941no—
1216C22⋊Q8—941no—
1217C22⋊Q8—941no—
1218C22⋊Q8C22×D4711yescharacteristic
1219C22⋊Q8C22×D4711yescharacteristic
1220C22⋊Q8C22×D4711yescharacteristic
1221#121—21no—
1222#121—471no—
1223#121—471no—
1224#121—471no—
1225#121—471no—
1226#121—471no—
1227#121—471no—
1228#121—941no—
1229#121—941no—
1230#121—941no—
1231#121—941no—
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#121C22×D4711yescharacteristic
1242#120—21no—
1243#120—941no—
1244#120—941no—
1245#120—941no—
1246#120—941no—
1247#120—941no—
1248#120—941no—
1249#120—941no—
1250#120—941no—
1251#120—941no—
1252C4×Q8—471no—
1253C4×Q8—471no—
1254C4×Q8—471no—
1255C4×Q8—471no—
1256C4×Q8—471no—
1257C4×Q8—471no—
1258C4×Q8—471no—
1259C4×Q8—471no—
1260C4×Q8—471no—
1261C4×Q8—471no—
1262C4×Q8—941no—
1263C4×Q8—941no—
1264C4×Q8—941no—
1265C4×Q8—941no—
1266C4×Q8—941no—
1267C4×Q8—941no—
1268C4×Q8—941no—
1269C4×Q8—941no—
1270C4×Q8C22×D4711yescharacteristic
1271C4×D4—21no—
1272C4×D4—471no—
1273C4×D4—471no—
1274C4×D4—471no—
1275C4×D4—471no—
1276C4×D4—471no—
1277C4×D4—471no—
1278C4×D4—471no—
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×D4C22×D4711yescharacteristic
1289C4×D4C22×D4711yescharacteristic
1290#117—471no—
1291#117—471no—
1292#117—471no—
1293#117—471no—
1294#117—471no—
1295#117—941no—
1296#117—941no—
1297#117—941no—
1298#117—941no—
1299#117—941no—
1300#117—941no—
1301#117—941no—
1302#117—941no—
1303C2×C22⋊C4—21no—
1304C2×C22⋊C4—941no—
1305C2×C22⋊C4—941no—
1306C2×C22⋊C4—941no—
1307C2×C42—471no—
1308C2×C42—941no—
1309#107—471no—
1310#107—471no—
1311#107—471no—
1312#107—471no—
1313#107—471no—
1314#107C22×D4711yescharacteristic
1315#106—471no—
1316#106—471no—
1317C4⋊C8—471no—
1318C4⋊C8—471no—
1319C4⋊C8—471no—
1320C4⋊C8—471no—
1321C4⋊C8—471no—
1322C4⋊C8—471no—
1323C4⋊C8—471no—
1324C4⋊C8—471no—
1325C4⋊C8—471no—
1326C4⋊C8C22×D4711yescharacteristic
1327#103—471no—
1328#103—471no—
1329#103—471no—
1330#103—471no—
1331#103—471no—
1332#103—471no—
1333#103—471no—
1334#103—471no—
1335#103—471no—
1336#103—471no—
1337#103C22×D4711yescharacteristic
1338#103C22×D4711yescharacteristic
1339#103C22×D4711yescharacteristic
1340#103C22×D4711yescharacteristic
1341#102—471no—
1342#102—471no—
1343#102—471no—
1344#102—471no—
1345#102—471no—
1346#102—471no—
1347#102—471no—
1348#102—471no—
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#102C22×D4711yescharacteristic
1358#102C22×D4711yescharacteristic
1359C22⋊C8—471no—
1360C22⋊C8—471no—
1361C22⋊C8—471no—
1362C22⋊C8—471no—
1363C22⋊C8C22×D4711yescharacteristic
1364C22⋊C8C22×D4711yescharacteristic
1365#97—471no—
1366#97—471no—
1367#97—471no—
1368#97C22×D4711yescharacteristic
1369C4×C8—471no—
1370C4×C8—471no—
1371C24—21no—
1372C24—941no—
1373C24—941no—
1374#41—41no—
1375#41—41no—
1376#41—942no—
1377#41—3762no—
1378#41—1881no—
1379#41—1881no—
1380#41—1881no—
1381C2×Q8—21no—
1382C2×Q8—21no—
1383C2×Q8—22no—
1384C2×Q8—22no—
1385C2×Q8—41no—
1386C2×Q8—41no—
1387C2×Q8—471no—
1388C2×Q8—471no—
1389C2×Q8—941no—
1390C2×Q8—941no—
1391C2×Q8—941no—
1392C2×Q8—941no—
1393C2×Q8—941no—
1394C2×Q8—1881no—
1395C2×Q8—1881no—
1396C2×Q8C23×D4711yescharacteristic
1397C2×Q8C23×D4711yescharacteristic
1398C2×Q8C23×D4711yescharacteristic
1399C2×Q8C23×D4711yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—471no—
1406C2×D4—471no—
1407C2×D4—471no—
1408C2×D4—471no—
1409C2×D4—471no—
1410C2×D4—941no—
1411C2×D4—941no—
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—941no—
1423C2×D4—941no—
1424C2×D4—941no—
1425C2×D4—3762no—
1426C2×D4—3762no—
1427C2×D4—1881no—
1428C2×D4—1881no—
1429C2×D4—1881no—
1430C2×D4—1881no—
1431C2×D4D4×D4711yescharacteristic
1432C2×D4C23×D4711yescharacteristic
1433C2×D4C23×D4711yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—471no—
1439C22×C4—471no—
1440C22×C4—471no—
1441C22×C4—941no—
1442C22×C4—941no—
1443C22×C4—941no—
1444C22×C4—941no—
1445C22×C4—941no—
1446C22×C4—941no—
1447C22×C4—941no—
1448C22×C4—941no—
1449C22×C4C23×D4711yescharacteristic
1450C22×C4C23×D4711yescharacteristic
1451Q16—22no—
1452Q16—41no—
1453Q16—41no—
1454Q16—942no—
1455Q16—1881no—
1456Q16—1881no—
1457SD16—22no—
1458SD16—22no—
1459SD16—41no—
1460SD16—41no—
1461SD16—41no—
1462SD16—41no—
1463SD16—942no—
1464SD16—942no—
1465SD16—1881no—
1466SD16—1881no—
1467SD16—1881no—
1468SD16—1881no—
1469SD16—1881no—
1470SD16—1881no—
1471D8—1881no—
1472D8—1881no—
1473D8—1881no—
1474D8—1881no—
1475M16—41no—
1476M16—1881no—
1477M16—1881no—
1478M16—1881no—
1479C2×C8—41no—
1480C2×C8—471no—
1481C2×C8—471no—
1482C2×C8—471no—
1483C2×C8—471no—
1484C2×C8—1881no—
1485C2×C8C23×D4711yescharacteristic
1486C2×C8C23×D4711yescharacteristic
1487C2×C8C23×D4711yescharacteristic
1488C2×C8C23×D4711yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—471no—
1496C4⋊C4—471no—
1497C4⋊C4—471no—
1498C4⋊C4—471no—
1499C4⋊C4—471no—
1500C4⋊C4—471no—
1501C4⋊C4—471no—
1502C4⋊C4—471no—
1503C4⋊C4—471no—
1504C4⋊C4—471no—
1505C4⋊C4—471no—
1506C4⋊C4—471no—
1507C4⋊C4—471no—
1508C4⋊C4—941no—
1509C4⋊C4—941no—
1510C4⋊C4—941no—
1511C4⋊C4—941no—
1512C4⋊C4—941no—
1513C4⋊C4—941no—
1514C4⋊C4—941no—
1515C4⋊C4—941no—
1516C4⋊C4—941no—
1517C4⋊C4—941no—
1518C4⋊C4—941no—
1519C4⋊C4—941no—
1520C4⋊C4—941no—
1521C4⋊C4—941no—
1522C4⋊C4—941no—
1523C4⋊C4—941no—
1524C4⋊C4D4×D4711yescharacteristic
1525C4⋊C4C23×D4711yescharacteristic
1526C4⋊C4C23×D4711yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—471no—
1535C22⋊C4—471no—
1536C22⋊C4—471no—
1537C22⋊C4—471no—
1538C22⋊C4—471no—
1539C22⋊C4—471no—
1540C22⋊C4—471no—
1541C22⋊C4—471no—
1542C22⋊C4—941no—
1543C22⋊C4—941no—
1544C22⋊C4—941no—
1545C22⋊C4—941no—
1546C22⋊C4—941no—
1547C22⋊C4—941no—
1548C22⋊C4—941no—
1549C22⋊C4—941no—
1550C22⋊C4—941no—
1551C22⋊C4—941no—
1552C22⋊C4—941no—
1553C22⋊C4—941no—
1554C22⋊C4—941no—
1555C22⋊C4—941no—
1556C22⋊C4—941no—
1557C22⋊C4—941no—
1558C22⋊C4—941no—
1559C22⋊C4—941no—
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⋊C4D4×D4711yescharacteristic
1573C22⋊C4D4×D4711yescharacteristic
1574C42—21no—
1575C42—471no—
1576C42—471no—
1577C42—471no—
1578C42—471no—
1579C42—471no—
1580C42—941no—
1581C42—941no—
1582C42—941no—
1583C42—941no—
1584C42—941no—
1585C42—941no—
1586C42—941no—
1587C42—941no—
1588C42—941no—
1589C42—941no—
1590C42—941no—
1591C42—941no—
1592C42C23×D4711yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—81no—
1596C23—81no—
1597C23—81no—
1598C23—471no—
1599C23—941no—
1600C23—941no—
1601C23—941no—
1602C23—3761no—
1603C23—3761no—
1604C23—3761no—
1605C23—3761no—
1606C23—3761no—
1607C23—1882no—
1608C23C2×D4×D4711yescharacteristic
1609C23C2×D4×D4711yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—21no—
1617Q8—42no—
1618Q8—42no—
1619Q8—941no—
1620Q8—941no—
1621Q8—3761no—
1622Q8—3761no—
1623Q8—3761no—
1624Q8—3761no—
1625Q8—3761no—
1626Q8—1881no—
1627Q8#1309406912yes—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—41no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—941no—
1637D4—941no—
1638D4—941no—
1639D4—941no—
1640D4—941no—
1641D4—941no—
1642D4—3761no—
1643D4—3761no—
1644D4—3761no—
1645D4—3761no—
1646D4—3761no—
1647D4—3761no—
1648D4—3761no—
1649D4—3761no—
1650D4—3761no—
1651D4—3761no—
1652D4—3761no—
1653D4—3761no—
1654D4—1882no—
1655D4—1882no—
1656D4—1881no—
1657D4—1881no—
1658D4—1882no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—42no—
1670C2×C4—42no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—471no—
1674C2×C4—471no—
1675C2×C4—471no—
1676C2×C4—471no—
1677C2×C4—471no—
1678C2×C4—471no—
1679C2×C4—471no—
1680C2×C4—941no—
1681C2×C4—941no—
1682C2×C4—941no—
1683C2×C4—941no—
1684C2×C4—941no—
1685C2×C4—941no—
1686C2×C4—941no—
1687C2×C4—3761no—
1688C2×C4—3761no—
1689C2×C4—3761no—
1690C2×C4—3761no—
1691C2×C4—3761no—
1692C2×C4—3761no—
1693C2×C4—1881no—
1694C2×C4—1881no—
1695C2×C4—1882no—
1696C2×C4—1882no—
1697C2×C4C2×D4×D4711yescharacteristic
1698C2×C4C2×D4×D4711yescharacteristic
1699C2×C4C2×D4×D4711yescharacteristic
1700C2×C4C2×D4×D4711yescharacteristic
1701C2×C4C24×D4711yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—941no—
1707C8—941no—
1708C8—941no—
1709C8—941no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—162no—
1723C22—941no—
1724C22—941no—
1725C22—941no—
1726C22—1881no—
1727C22—1881no—
1728C22—1881no—
1729C22—1881no—
1730C22—1881no—
1731C22—1881no—
1732C22—1881no—
1733C22—1881no—
1734C22—1881no—
1735C22—7522no—
1736C22—7522no—
1737C22C22×D4×D4711yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—22no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—941no—
1749C4—941no—
1750C4—941no—
1751C4—941no—
1752C4—941no—
1753C4—941no—
1754C4—941no—
1755C4—1881no—
1756C4—1881no—
1757C4—1881no—
1758C4—1881no—
1759C4—1881no—
1760C4C2×#1309406911yescharacteristic
1761C4#1568995811yescharacteristic
1762C2—41no—
1763C2—41no—
1764C2—81no—
1765C2—81no—
1766C2—3761no—
1767C2—3761no—
1768C2—3761no—
1769C2—1881no—
1770C2#2025704811yescharacteristic
1771C2#2025816611yescharacteristic
1772C2#2025817111yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3266C2
socleC22×C47C23×D4
hypercenter#3266D47
hypocenterC47#62092
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
1. #20257897C2semidirect
2. #20257400C2semidirect
3. #20256461C2semidirect
4. #20256453C2semidirect
5. #20256203C2semidirect
6. #20256197C2semidirect
7. #20255614C2semidirect
8. #20255612C2semidirect
9. #20255546C2semidirect
10. #20255544C2semidirect
11. #20255460C2semidirect
12. #20255458C2semidirect
13. #20255045C2semidirect
14. #20255039C2semidirect
15. #20254899C2semidirect
16. #20254883C2semidirect
17. #20254876C2semidirect
18. #20254850C2semidirect
19. #20254845C2semidirect
20. #20254772C2semidirect
21. #20254488C2semidirect
22. #20254486C2semidirect
23. #20254386C2semidirect
24. #20253618C2semidirect
25. #20253610C2semidirect
26. #20253537C2semidirect
27. #20252911C2semidirect
28. #20252906C2semidirect
29. #20252879C2semidirect
30. #20252554C2semidirect
31. C47×#3266C2semidirect
32. C2×#13094056C22semidirect
33. C2×#13094055C22semidirect
35. C22×#10625336C22semidirect
40. Q8×Dic94C22semidirect
42. #15689847C22semidirect
45. #15689844C22semidirect
46. #15689844C22semidirect
48. #15689838C22semidirect
49. #15689784C22semidirect
50. #15689784C22semidirect
61. #15689746C22semidirect
62. #15689746C22semidirect
71. #15689678C22semidirect
76. #15689601C22semidirect
77. #15689601C22semidirect
78. C4×#10625354C22semidirect
79. #15689515C22semidirect
82. #15689508C22semidirect
83. #15689504C22semidirect
84. #15689484C22semidirect
85. #15689483C22semidirect
86. #15689482C22semidirect
87. #15689481C22semidirect
90. #15689465C22semidirect
91. #15689461C22semidirect
92. #15689450C22semidirect
94. #15689446C22semidirect
96. #15689417C22semidirect
97. #15689416C22semidirect
98. #15689416C22semidirect
99. #15689416C22semidirect
100. #15689406C22semidirect
101. #15689404C22semidirect
102. #15689403C22semidirect
103. #15689402C22semidirect
104. #15689402C22semidirect
105. #15689401C22semidirect
106. #15689372C22semidirect
107. #15689372C22semidirect
109. #15689371C22semidirect
110. #15689369C22semidirect
111. #15689366C22semidirect
112. #15689366C22semidirect
113. #15689362C22semidirect
116. #15689348C22semidirect
117. #15689347C22semidirect
118. #15689347C22semidirect
119. #15689347C22semidirect
120. #15689347C22semidirect
121. #15689347C22semidirect
122. #15689347C22semidirect
123. #15689345C22semidirect
124. #15689343C22semidirect
125. #15689343C22semidirect
126. #15689343C22semidirect
127. #15689343C22semidirect
128. #15689343C22semidirect
129. #15689341C22semidirect
130. #15689341C22semidirect
131. #15689340C22semidirect
132. #15689339C22semidirect
133. #15689337C22semidirect
134. #15689335C22semidirect
135. #15689325C22semidirect
140. #15689321C22semidirect
141. #15689321C22semidirect
142. #15689321C22semidirect
143. #15689317C22semidirect
144. #15689283C22semidirect
145. #15689279C22semidirect
146. #15689277C22semidirect
147. #15689277C22semidirect
148. #15689273C22semidirect
151. #15689271C22semidirect
152. #15689270C22semidirect
153. #15689268C22semidirect
154. #15689267C22semidirect
156. #15689259C22semidirect
157. #15689257C22semidirect
158. #15689252C22semidirect
159. #15689251C22semidirect
160. #15689236C22semidirect
161. #15689233C22semidirect
162. #15689230C22semidirect
163. #15689227C22semidirect
164. #15689226C22semidirect
165. #15689224C22semidirect
166. #15689221C22semidirect
167. Q16×Dic47C22semidirect
168. #15689215C22semidirect
169. SD16×Dic47C22semidirect
170. #15689208C22semidirect
171. #15689199C22semidirect
172. #15689198C22semidirect
173. #15689195C22semidirect
174. #15689194C22semidirect
175. #15689191C22semidirect
176. #15689181C22semidirect
177. #15689181C22semidirect
178. #15689178C22semidirect
179. #15689151C22semidirect
180. #15689149C22semidirect
181. #15689145C22semidirect
182. #15689130C22semidirect
183. #15689129C22semidirect
184. #15689128C22semidirect
186. #15689120C22semidirect
187. #15689119C22semidirect
188. C2×#137×C47C22semidirect
189. C22×SD16×C47C22semidirect
190. D4×Q8×C47C22semidirect
192. C47×#497C22semidirect
194. C47×#467C22semidirect
195. C47×#464C22semidirect
196. C47×#461C22semidirect
197. C47×#452C22semidirect
198. C47×#451C22semidirect
199. C47×#450C22semidirect
201. C47×#440C22semidirect
202. C47×#435C22semidirect
891. #3266D47semidirect
920. C2×#137C2×D47semidirect
923. C22×SD16C2×D47semidirect
937. D4×Q8C2×D47semidirect
970. #497C2×D47semidirect
1006. #467C2×D47semidirect
1022. #464C2×D47semidirect
1030. #461C2×D47semidirect
1040. #452C2×D47semidirect
1044. #451C2×D47semidirect
1048. #450C2×D47semidirect
1066. #440C2×D47semidirect
1076. #435C2×D47semidirect
1089. C47#62092semidirect

Maximal subgroups

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

subgroupindex
#202578972
#202574002
#202564612
#202564532
#202562032
#202561972
#202556142
#202556122
#202555462
#202555442
#202554602
#202554582
#202550452
#202550392
#202548992
#202548832
#202548762
#202548502
#202548452
#202547722
#202544882
#202544862
#202543862
#202536182
#202536102
#202535372
#202529112
#202529062
#202528792
#202525542
C47×#32662
#6209247