Finite Group Databasebeta

← #27111757

Subgroups — #27111757

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#20257905C211yesmaximal, characteristic, complemented
2#20257396C211yesmaximal, characteristic, complemented
3#20256460C211yesmaximal, characteristic, complemented
4#20256457C211yesmaximal, characteristic, complemented
5#20256200C211yesmaximal, characteristic, complemented
6#20256197C211yesmaximal, characteristic, complemented
7#20255620C211yesmaximal, characteristic, complemented
8#20255614C211yesmaximal, characteristic, complemented
9#20255548C211yesmaximal, characteristic, complemented
10#20255539C211yesmaximal, characteristic, complemented
11#20255454C211yesmaximal, characteristic, complemented
12#20255447C211yesmaximal, characteristic, complemented
13#20255039C211yesmaximal, characteristic, complemented
14#20254892C211yesmaximal, characteristic, complemented
15#20254891C211yesmaximal, characteristic, complemented
16#20254886C211yesmaximal, characteristic, complemented
17#20254884C211yesmaximal, characteristic, complemented
18#20254847C211yesmaximal, characteristic, complemented
19#20254845C211yesmaximal, characteristic, complemented
20#20254770C211yesmaximal, characteristic, complemented
21#20254480C211yesmaximal, characteristic, complemented
22#20254475C211yesmaximal, characteristic, complemented
23#20254390C211yesmaximal, characteristic, complemented
24#20253623C211yesmaximal, characteristic, complemented
25#20253618C211yesmaximal, characteristic, complemented
26#20253532C211yesmaximal, characteristic, complemented
27#20252911C211yesmaximal, characteristic, complemented
28#20252907C211yesmaximal, characteristic, complemented
29#20252884C211yesmaximal, characteristic, complemented
30#20252552C211yesmaximal, characteristic, complemented
31C47×#3277C211yesmaximal, characteristic, complemented
32C2×#13094056C2211yescharacteristic, complemented
33C2×#13094049C2211yescharacteristic
34C22×#10625336C2211yescharacteristic, complemented
35C2×SD16×D47C2211yescharacteristic, complemented
36#15689869—21no—
37#15689865—21no—
38#15689858C2211yescharacteristic
39#15689855C2211yescharacteristic
40Q8×Dic94C2211yescharacteristic, complemented
41#15689844—21no—
42#15689844C2211yescharacteristic, complemented
43#15689843—21no—
44#15689843C2211yescharacteristic, complemented
45#15689842—21no—
46#15689842C2211yescharacteristic, complemented
47#15689837—21no—
48#15689837C2211yescharacteristic, complemented
49Q8×C22⋊D47C2211yescharacteristic, complemented
50#15689784C2211yescharacteristic
51#15689780C2211yescharacteristic, complemented
52#15689768—21no—
53#15689764C2211yescharacteristic
54#15689762—21no—
55#15689761C2211yescharacteristic
56D4×D188C2211yescharacteristic
57#15689757C2211yescharacteristic
58#15689746C2211yescharacteristic
59#15689745C2211yescharacteristic
60#15689742—21no—
61#15689742C2211yescharacteristic, complemented
62#15689740—21no—
63#15689740C2211yescharacteristic, complemented
64#15689713—21no—
65#15689707—21no—
66#15689706—21no—
67#15689691C2211yescharacteristic
68#15689687C2211yescharacteristic
69#15689681—21no—
70#15689675—21no—
71#15689675C2211yescharacteristic, complemented
72#15689668C2211yescharacteristic
73#15689653—21no—
74#15689653C2211yescharacteristic
75C2×#13094013C2211yescharacteristic
76#15689601C2211yescharacteristic, complemented
77#15689599C2211yescharacteristic, complemented
78#41×Dic47C2211yescharacteristic, complemented
79#15689516C2211yescharacteristic, complemented
80#15689516C2211yescharacteristic, complemented
81#15689513C2211yescharacteristic
82#15689511C2211yescharacteristic
83#15689504C2211yescharacteristic, complemented
84#15689484C2211yescharacteristic, complemented
85#15689484C2211yescharacteristic, complemented
86#15689484C2211yescharacteristic, complemented
87#15689482C2211yescharacteristic, complemented
88#15689470C2211yescharacteristic
89#15689468C2211yescharacteristic
90#15689462C2211yescharacteristic, complemented
91#15689461C2211yescharacteristic, complemented
92#15689450C2211yescharacteristic
93#15689448C2211yescharacteristic
94#15689448C2211yescharacteristic, complemented
95#15689444C2211yescharacteristic, complemented
96#15689418C2211yescharacteristic, complemented
97#15689417C2211yescharacteristic, complemented
98#15689416C2211yescharacteristic, complemented
99#15689416C2211yescharacteristic, complemented
100#15689406C2211yescharacteristic, complemented
101#15689404C2211yescharacteristic, complemented
102#15689402C2211yescharacteristic, complemented
103#15689402C2211yescharacteristic, complemented
104#15689401C2211yescharacteristic, complemented
105#15689401C2211yescharacteristic, complemented
106#15689372C2211yescharacteristic
107#15689371C2211yescharacteristic, complemented
108#15689369C2211yescharacteristic
109#15689369C2211yescharacteristic, complemented
110#15689367C2211yescharacteristic, complemented
111#15689366C2211yescharacteristic, complemented
112#15689362C2211yescharacteristic, complemented
113#15689361C2211yescharacteristic, complemented
114#15689358C2211yescharacteristic
115#15689357C2211yescharacteristic
116#15689348C2211yescharacteristic, complemented
117#15689348C2211yescharacteristic, complemented
118#15689347C2211yescharacteristic, complemented
119#15689347C2211yescharacteristic, complemented
120#15689347C2211yescharacteristic, complemented
121#15689347C2211yescharacteristic, complemented
122#15689347C2211yescharacteristic, complemented
123#15689347C2211yescharacteristic, complemented
124#15689347C2211yescharacteristic, complemented
125#15689347C2211yescharacteristic, complemented
126#15689343C2211yescharacteristic, complemented
127#15689342C2211yescharacteristic, complemented
128#15689340C2211yescharacteristic, complemented
129#15689340C2211yescharacteristic, complemented
130#15689340C2211yescharacteristic, complemented
131#15689340C2211yescharacteristic, complemented
132#15689337C2211yescharacteristic, complemented
133#15689335C2211yescharacteristic, complemented
134#15689327C2211yescharacteristic, complemented
135#15689326C2211yescharacteristic, complemented
136#15689324C2211yescharacteristic
137#15689323C2211yescharacteristic
138#15689322C2211yescharacteristic, complemented
139#15689321C2211yescharacteristic
140#15689321C2211yescharacteristic
141#15689321C2211yescharacteristic, complemented
142#15689321C2211yescharacteristic, complemented
143#15689316C2211yescharacteristic, complemented
144#15689285C2211yescharacteristic, complemented
145#15689284C2211yescharacteristic, complemented
146#15689279C2211yescharacteristic, complemented
147#15689277C2211yescharacteristic, complemented
148#15689276C2211yescharacteristic
149#15689276C2211yescharacteristic, complemented
150#15689273C2211yescharacteristic
151#15689272C2211yescharacteristic, complemented
152#15689268C2211yescharacteristic, complemented
153#15689267C2211yescharacteristic, complemented
154#15689263C2211yescharacteristic
155#15689262C2211yescharacteristic
156#15689256C2211yescharacteristic, complemented
157#15689255C2211yescharacteristic, complemented
158#15689253C2211yescharacteristic, complemented
159#15689252C2211yescharacteristic, complemented
160#15689235C2211yescharacteristic, complemented
161#15689232C2211yescharacteristic, complemented
162#15689230C2211yescharacteristic, complemented
163#15689228C2211yescharacteristic, complemented
164#15689226C2211yescharacteristic, complemented
165#15689226C2211yescharacteristic, complemented
166#15689224C2211yescharacteristic, complemented
167#15689221C2211yescharacteristic, complemented
168Q16×Dic47C2211yescharacteristic, complemented
169C4×#10625325C2211yescharacteristic, complemented
170#15689208C2211yescharacteristic, complemented
171#15689199C2211yescharacteristic, complemented
172#15689197C2211yescharacteristic, complemented
173#15689195C2211yescharacteristic, complemented
174#15689192C2211yescharacteristic, complemented
175#15689191C2211yescharacteristic, complemented
176#15689182C2211yescharacteristic, complemented
177#15689181C2211yescharacteristic, complemented
178#15689177C2211yescharacteristic, complemented
179#15689151C2211yescharacteristic, complemented
180#15689148C2211yescharacteristic, complemented
181#15689146C2211yescharacteristic, complemented
182#15689132C2211yescharacteristic, complemented
183#15689129C2211yescharacteristic
184#15689129C2211yescharacteristic, complemented
185#15689126C2211yescharacteristic, complemented
186#15689119C2211yescharacteristic, complemented
187#15689118C2211yescharacteristic, complemented
188C2×#137×C47C2211yescharacteristic, complemented
189C2×#137×C47C2211yescharacteristic, complemented
190C47×#548C2211yescharacteristic
191C47×#548C2211yescharacteristic, complemented
192C47×#495C2211yescharacteristic, complemented
193C47×#468C2211yescharacteristic, complemented
194C47×#468C2211yescharacteristic, complemented
195C47×#464C2211yescharacteristic, complemented
196C47×#464C2211yescharacteristic, complemented
197C47×#451C2211yescharacteristic, complemented
198C47×#451C2211yescharacteristic, complemented
199C47×#449C2211yescharacteristic, complemented
200C47×#449C2211yescharacteristic, complemented
201C4×Q16×C47C2211yescharacteristic, complemented
202C47×#436C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625352—21no—
205C2×Q8×D47C2311yescharacteristic
206C22×D188C2311yescharacteristic
207C22×D188C2311yescharacteristic
208C2×D4×D47—21no—
209C2×D4×D47—21no—
210C2×D4×D47C2311yescharacteristic
211#13094056—42no—
212#13094049—42no—
213C2×#10625337C2311yescharacteristic
214C2×#10625337C2311yescharacteristic
215C2×#10625325C2311yescharacteristic
216C2×#10625325C2311yescharacteristic
217C2×#10625325C2311yescharacteristic
218C2×#10625335C2311yescharacteristic
219C2×#10625336—42no—
220C2×#10625336C2311yescharacteristic
221C2×#10625336C2311yescharacteristic
222C2×#10625336C2311yescharacteristic
223C2×#10625336C2311yescharacteristic
224C2×#10625336C2311yescharacteristic
225C2×#10625336C2311yescharacteristic
226SD16×D47—42no—
227C2×#10625334C2311yescharacteristic
228C2×#10625334C2311yescharacteristic
229C2×#10625334C2311yescharacteristic
230C2×#10625329C2311yescharacteristic
231C2×#10625324C2311yescharacteristic
232C22×C47⋊C8C2311yescharacteristic
233C2×C8×D47C2311yescharacteristic
234#13094024—21no—
235#13094024C2311yescharacteristic
236#13094023—21no—
237#13094023—21no—
238#13094023C2311yescharacteristic
239#13094023C2311yescharacteristic
240#13094023C2311yescharacteristic
241#13094022—21no—
242#13094022C2311yescharacteristic
243#13094021C2311yescharacteristic
244#13094020C2311yescharacteristic
245#13094020C2311yescharacteristic
246#13094019—21no—
247#13094019—21no—
248#13094019D411yescharacteristic
249#13094018—21no—
250#13094017—21no—
251#13094017—21no—
252#13094017—21no—
253#13094017—21no—
254#13094017—21no—
255#13094017—21no—
256#13094017—21no—
257#13094017D411yescharacteristic
258#13094014—21no—
259#13094014D411yescharacteristic
260#13094013—21no—
261#13094013—21no—
262#13094013—21no—
263#13094013C2311yescharacteristic
264#13094013C2311yescharacteristic
265#13094013C2311yescharacteristic
266#13094013C2311yescharacteristic
267#13094013C2311yescharacteristic
268#13094012—21no—
269#13094012—21no—
270#13094011—21no—
271#13094011—21no—
272#13094011—21no—
273#13094011—21no—
274#13094011C2311yescharacteristic
275#13094010—21no—
276#13094010—21no—
277#13094010—21no—
278#13094010—21no—
279#13094010—21no—
280#13094010—21no—
281#13094010D411yescharacteristic
282#13094009—21no—
283#13094009—21no—
284#13094009—21no—
285#13094009—21no—
286#13094008—21no—
287#13094008—21no—
288#13094008D411yescharacteristic
289#13094007—21no—
290#13094006—21no—
291#13094006—21no—
292#13094005—21no—
293#13094005D411yescharacteristic
294#13094004—21no—
295#13094003—21no—
296#13094003—21no—
297#13094003C2311yescharacteristic
298#13094003C2311yescharacteristic
299#13094002—21no—
300#13094001—21no—
301#13094001—21no—
302#13094001—21no—
303#13094001—21no—
304#13094001D411yescharacteristic
305#13094000—21no—
306#13094000—21no—
307#13094000C2311yescharacteristic
308#13094000C2311yescharacteristic
309#13093999—21no—
310#13093999—21no—
311#13093999C2311yescharacteristic
312#13093998—21no—
313#13093998—21no—
314#13093998—21no—
315#13093998C2311yescharacteristic
316#13093998C2311yescharacteristic
317#13093997—21no—
318#13093997—21no—
319#13093997—21no—
320#13093996—21no—
321#13093996—21no—
322#13093996—21no—
323#13093996D411yescharacteristic
324#13093995—21no—
325#13093995C2311yescharacteristic
326#13093994—21no—
327#13093994—21no—
328#13093994—21no—
329#13093994—21no—
330#13093994—21no—
331#13093994—21no—
332#13093992—21no—
333#13093992—21no—
334#13093992—21no—
335#13093992—21no—
336Q8×Dic47—21no—
337Q8×Dic47—21no—
338Q8×Dic47C2311yescharacteristic
339Q8×Dic47C2311yescharacteristic
340Q8×Dic47C2311yescharacteristic
341Q8×Dic47C2311yescharacteristic
342Q8×Dic47C2311yescharacteristic
343Q8×Dic47C2311yescharacteristic
344C4×Dic94—21no—
345C4×Dic94—21no—
346C4×Dic94C2311yescharacteristic
347C4×Dic94C2311yescharacteristic
348#13093989—21no—
349#13093989—21no—
350#13093989—21no—
351#13093989—21no—
352#13093989C2311yescharacteristic
353C4×D188—21no—
354C4×D188C2311yescharacteristic
355D4×Dic47—21no—
356D4×Dic47—21no—
357D4×Dic47C2311yescharacteristic
358D4×Dic47C2311yescharacteristic
359D4×Dic47C2311yescharacteristic
360#13093986C2311yescharacteristic
361#13093986C2311yescharacteristic
362C4×C22⋊D47—21no—
363C4×C22⋊D47—21no—
364C4×C22⋊D47—21no—
365C4×C22⋊D47C2311yescharacteristic
366C4×C22⋊D47C2311yescharacteristic
367(C22⋊D47)⋊C4—21no—
368(C22⋊D47)⋊C4—21no—
369#13093983—21no—
370#13093983—21no—
371#13093983—21no—
372#13093983C2311yescharacteristic
373#13093983C2311yescharacteristic
374#13093983C2311yescharacteristic
375#13093982—21no—
376#13093982C2311yescharacteristic
377#13093981—21no—
378#13093981C2311yescharacteristic
379#13093980—21no—
380#13093980—21no—
381#13093980—21no—
382C2×(C2×D47)⋊C4—21no—
383C2×(C2×D47)⋊C4—21no—
384C2×(C2×D47)⋊C4—21no—
385C22⋊C4×D47—21no—
386C2×C4×Dic47—21no—
387C2×C4×Dic47C2311yescharacteristic
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#13093948C2311yescharacteristic
406#13093948C2311yescharacteristic
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#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
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
437#13093934C2311yescharacteristic
438C8×Dic47C2311yescharacteristic
439C2×#41×C47C2311yescharacteristic
440C2×#41×C47C2311yescharacteristic
441C22×Q8×C47C2311yescharacteristic
442C22×Q8×C47C2311yescharacteristic
443#137×C47—42no—
444#137×C47—42no—
445C2×Q16×C47C2311yescharacteristic
446C2×Q16×C47C2311yescharacteristic
447C2×Q16×C47C2311yescharacteristic
448C2×Q16×C47C2311yescharacteristic
449C2×SD16×C47C2311yescharacteristic
450C2×SD16×C47C2311yescharacteristic
451C2×SD16×C47C2311yescharacteristic
452C2×SD16×C47C2311yescharacteristic
453C2×D8×C47C2311yescharacteristic
454C2×M16×C47C2311yescharacteristic
455C2×M16×C47C2311yescharacteristic
456#124×C47—21no—
457#124×C47—21no—
458#124×C47C2311yescharacteristic
459#124×C47C2311yescharacteristic
460C22⋊Q8×C47—21no—
461C22⋊Q8×C47—21no—
462C22⋊Q8×C47C2311yescharacteristic
463C22⋊Q8×C47C2311yescharacteristic
464#121×C47—21no—
465#121×C47—21no—
466#121×C47C2311yescharacteristic
467#121×C47C2311yescharacteristic
468C4×Q8×C47C2311yescharacteristic
469C4×Q8×C47C2311yescharacteristic
470C4×D4×C47—21no—
471C4×D4×C47—21no—
472C4×D4×C47C2311yescharacteristic
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
483C4×C8×C47C2311yescharacteristic
484C23×D47—21no—
485C23×D47—21no—
486C23×D47—21no—
487#41×C47—22no—
488#41×C47—41no—
489#41×C47—41no—
490#41×C47—41no—
491C2×Q8×C47—21no—
492C2×Q8×C47—21no—
493C2×Q8×C47—22no—
494C2×Q8×C47—41no—
495C2×Q8×C47—41no—
496C2×Q8×C47—41no—
497C2×Q8×C47C2411yescharacteristic
498C2×Q8×C47C2411yescharacteristic
499C2×Q8×C47C2411yescharacteristic
500C2×Q8×C47C2411yescharacteristic
501C2×D4×C47—21no—
502C2×D4×C47—21no—
503C2×D4×C47—21no—
504C2×D4×C47—21no—
505C2×D4×C47C2×D411yescharacteristic
506C2×D4×C47C2411yescharacteristic
507C2×D4×C47C2411yescharacteristic
508C22×C4×C47—21no—
509C22×C4×C47—21no—
510C22×C4×C47—21no—
511C22×C4×C47—21no—
512C22×C4×C47C2411yescharacteristic
513C22×C4×C47C2411yescharacteristic
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⋊D47C2×D411yescharacteristic
523C2×C22⋊D47C2×D411yescharacteristic
524C22×Dic47—21no—
525C22×Dic47—21no—
526C22×Dic47—21no—
527C22×Dic47C2×D411yescharacteristic
528C22×Dic47C2×D411yescharacteristic
529#10625354—41no—
530#10625354—41no—
531Q8×D47—22no—
532Q8×D47—41no—
533#10625352—82no—
534D4×D47—41no—
535D4×D47—41no—
536D4×D47—82no—
537D4×D47—82no—
538C2×D188—21no—
539C2×D188—21no—
540C2×D188—21no—
541C2×D188—21no—
542C2×D188—21no—
543C2×D188—21no—
544C2×D188—41no—
545C2×D188—41no—
546C2×D188—41no—
547C2×D188—41no—
548C2×D188C2411yescharacteristic
549C2×D188C2411yescharacteristic
550C2×D188C2411yescharacteristic
551C2×C4×D47—21no—
552C2×C4×D47—21no—
553C2×C4×D47—21no—
554C2×C4×D47—21no—
555C2×C4×D47—21no—
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—22no—
566Q16×C47—41no—
567Q16×C47—41no—
568SD16×C47—22no—
569SD16×C47—41no—
570SD16×C47—41no—
571SD16×C47—41no—
572D8×C47—41no—
573M16×C47—41no—
574M16×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×C47C2×D411yescharacteristic
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×C47C2×D411yescharacteristic
595C22⋊C4×C47C2×D411yescharacteristic
596C42×C47—21no—
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⋊Dic47—21no—
609C22⋊Dic47C2×D411yescharacteristic
610C22⋊Dic47C2×D411yescharacteristic
611C22⋊Dic47C2×D411yescharacteristic
612C22⋊Dic47C2×D411yescharacteristic
613#10625337—41no—
614#10625337—41no—
615#10625336—22no—
616#10625336—22no—
617#10625336—22no—
618#10625336—41no—
619#10625336—41no—
620#10625336—41no—
621#10625335—41no—
622#10625334—41no—
623#10625334—41no—
624#10625334—41no—
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)⋊C4—21no—
644(C2×D47)⋊C4C2×D411yescharacteristic
645(C2×D47)⋊C4C2×D411yescharacteristic
646(C2×D47)⋊C4C2×D411yescharacteristic
647(C2×D47)⋊C4C2×D411yescharacteristic
648C4⋊Dic47—21no—
649C4⋊Dic47—21no—
650C4⋊Dic47—21no—
651C4⋊Dic47—21no—
652C4⋊Dic47—21no—
653C4⋊Dic47—21no—
654C4⋊Dic47—21no—
655C4⋊Dic47C2×D411yescharacteristic
656C4⋊Dic47C2×D411yescharacteristic
657C4⋊Dic47C2×D411yescharacteristic
658C4⋊Dic47C2411yescharacteristic
659C4⋊Dic47C2411yescharacteristic
660C4⋊Dic47C2411yescharacteristic
661C4⋊Dic47C2411yescharacteristic
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
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
701#10625325—41no—
702#10625325—41no—
703#10625325—41no—
704#10625324—41no—
705C8×D47—41no—
706C23×C47—21no—
707C23×C47—21no—
708C23×C47C22×D411yescharacteristic
709C23×C47C22×D411yescharacteristic
710C22×D47—21no—
711C22×D47—21no—
712C22×D47—21no—
713C22×D47—42no—
714C22×D47—81no—
715C22×D47—81no—
716C22×D47—81no—
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—81no—
732Q8×C47H(5,𝔽2)12yes—
733D4×C47—21no—
734D4×C47—21no—
735D4×C47—21no—
736D4×C47—21no—
737D4×C47—41no—
738D4×C47—42no—
739D4×C47—42no—
740D4×C47—81no—
741D4×C47—81no—
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—21no—
752C2×C4×C47—42no—
753C2×C4×C47—42no—
754C2×C4×C47—81no—
755C2×C4×C47—81no—
756C2×C4×C47C22×D411yescharacteristic
757C2×C4×C47C22×D411yescharacteristic
758C2×C4×C47C22×D411yescharacteristic
759C2×C4×C47C22×D411yescharacteristic
760C2×C4×C47C2511yescharacteristic
761C22⋊D47—41no—
762C22⋊D47—41no—
763C22⋊D47—42no—
764C22⋊D47—81no—
765C22⋊D47—81no—
766C22⋊D47—81no—
767C22⋊D47—81no—
768C22⋊D47—81no—
769C22⋊D47—81no—
770C22⋊D47—81no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—21no—
776C2×Dic47—41no—
777C2×Dic47—41no—
778C2×Dic47—42no—
779C2×Dic47—81no—
780C2×Dic47—81no—
781C2×Dic47C22×D411yescharacteristic
782C2×Dic47C22×D411yescharacteristic
783C2×Dic47C22×D411yescharacteristic
784C2×Dic47C22×D411yescharacteristic
785C2×Dic47C22×D411yescharacteristic
786C2×Dic47C22×D411yescharacteristic
787C2×Dic47C22×D411yescharacteristic
788D188—21no—
789D188—21no—
790D188—21no—
791D188—21no—
792D188—21no—
793D188—21no—
794D188—81no—
795D188—81no—
796D188—81no—
797D188—81no—
798D188—81no—
799D188—81no—
800C4×D47—21no—
801C4×D47—21no—
802C4×D47—42no—
803C4×D47—81no—
804C4×D47—81no—
805C4×D47—81no—
806C4×D47—81no—
807Dic94—21no—
808Dic94—21no—
809Dic94—41no—
810Dic94—42no—
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×C47C23×D411yescharacteristic
837C2×D47—21no—
838C2×D47—21no—
839C2×D47—21no—
840C2×D47—41no—
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—162no—
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#3277D4711yescharacteristic, complemented
890#3266—471no—
891#3266—471no—
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×#137C2×D4711yescharacteristic, complemented
920C2×#137C2×D4711yescharacteristic, complemented
921C2×AGL(1,ℤ/8)—471no—
922C22×SD16—471no—
923C22×SD16—471no—
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×Q8—471no—
938#548—471no—
939#548—471no—
940#548C2×D4711yescharacteristic
941#548C2×D4711yescharacteristic, complemented
942#546—471no—
943#546—471no—
944#546—941no—
945#546—941no—
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#497—471no—
971#496—471no—
972#496—471no—
973#495—471no—
974#495C2×D4711yescharacteristic, complemented
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#468C2×D4711yescharacteristic, complemented
1004#468C2×D4711yescharacteristic, complemented
1005#467—471no—
1006#467—471no—
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#464C2×D4711yescharacteristic, complemented
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#461—471no—
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#452—471no—
1041#451—471no—
1042#451—471no—
1043#451C2×D4711yescharacteristic, complemented
1044#451C2×D4711yescharacteristic, complemented
1045#450—471no—
1046#450—471no—
1047#450—471no—
1048#450—471no—
1049#449—471no—
1050#449—471no—
1051#449C2×D4711yescharacteristic, complemented
1052#449C2×D4711yescharacteristic, complemented
1053#448—471no—
1054#448—471no—
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#440—471no—
1067C4×Q16—471no—
1068C4×Q16C2×D4711yescharacteristic, complemented
1069C4×SD16—471no—
1070C4×SD16—471no—
1071#436—471no—
1072#436C2×D4711yescharacteristic, complemented
1073#435—471no—
1074#435—471no—
1075#435—471no—
1076#435—471no—
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—941no—
1092C2×#41C22×D4711yescharacteristic
1093C2×#41C22×D4711yescharacteristic
1094C22×Q8—471no—
1095C22×Q8C22×D4711yescharacteristic
1096C22×Q8C22×D4711yescharacteristic
1097C22×D4—471no—
1098C22×D4—471no—
1099C22×D4—471no—
1100C22×D4—941no—
1101C22×D4—941no—
1102#137—42no—
1103#137—42no—
1104#137—1882no—
1105AGL(1,ℤ/8)—1882no—
1106C2×Q16—471no—
1107C2×Q16—471no—
1108C2×Q16C22×D4711yescharacteristic
1109C2×Q16C22×D4711yescharacteristic
1110C2×Q16C22×D4711yescharacteristic
1111C2×Q16C22×D4711yescharacteristic
1112C2×SD16—471no—
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—471no—
1122C2×SD16—1882no—
1123C2×SD16—1882no—
1124C2×SD16C22×D4711yescharacteristic
1125C2×SD16C22×D4711yescharacteristic
1126C2×SD16C22×D4711yescharacteristic
1127C2×SD16C22×D4711yescharacteristic
1128C2×D8—471no—
1129C2×D8—471no—
1130C2×D8—471no—
1131C2×D8C22×D4711yescharacteristic
1132C2×M16—471no—
1133C2×M16—471no—
1134C2×M16C22×D4711yescharacteristic
1135C2×M16C22×D4711yescharacteristic
1136C22×C8—471no—
1137C22×C8—471no—
1138C4⋊Q8—471no—
1139C4⋊Q8—471no—
1140C4⋊Q8—471no—
1141C4⋊Q8—471no—
1142C4⋊Q8—471no—
1143C4⋊Q8—941no—
1144C4⋊Q8—941no—
1145C4⋊Q8—941no—
1146C4⋊Q8—941no—
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—21no—
1165#124—21no—
1166#124—471no—
1167#124—471no—
1168#124—471no—
1169#124—471no—
1170#124—471no—
1171#124—471no—
1172#124—471no—
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#124C22×D4711yescharacteristic
1189#124C22×D4711yescharacteristic
1190#123—471no—
1191#123—471no—
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—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—471no—
1205C22⋊Q8—471no—
1206C22⋊Q8—471no—
1207C22⋊Q8—471no—
1208C22⋊Q8—471no—
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⋊Q8—941no—
1219C22⋊Q8C22×D4711yescharacteristic
1220C22⋊Q8C22×D4711yescharacteristic
1221#121—21no—
1222#121—21no—
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#121C22×D4711yescharacteristic
1241#121C22×D4711yescharacteristic
1242#120—941no—
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—941no—
1262C4×Q8—941no—
1263C4×Q8—941no—
1264C4×Q8—941no—
1265C4×Q8—941no—
1266C4×Q8—941no—
1267C4×Q8—941no—
1268C4×Q8—941no—
1269C4×Q8C22×D4711yescharacteristic
1270C4×Q8C22×D4711yescharacteristic
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—471no—
1274C4×D4—471no—
1275C4×D4—471no—
1276C4×D4—471no—
1277C4×D4—471no—
1278C4×D4—471no—
1279C4×D4—471no—
1280C4×D4—471no—
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×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—941no—
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#97—471no—
1369C4×C8—471no—
1370C4×C8C22×D4711yescharacteristic
1371C24—941no—
1372C24—941no—
1373C24—941no—
1374#41—22no—
1375#41—41no—
1376#41—41no—
1377#41—41no—
1378#41—3762no—
1379#41—1881no—
1380#41—1881no—
1381C2×Q8—21no—
1382C2×Q8—21no—
1383C2×Q8—22no—
1384C2×Q8—41no—
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—942no—
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—21no—
1404C2×D4—471no—
1405C2×D4—471no—
1406C2×D4—471no—
1407C2×D4—471no—
1408C2×D4—471no—
1409C2×D4—941no—
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—3762no—
1424C2×D4—3762no—
1425C2×D4—1881no—
1426C2×D4—1881no—
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—22no—
1453Q16—41no—
1454Q16—41no—
1455Q16—1881no—
1456Q16—1881no—
1457SD16—22no—
1458SD16—41no—
1459SD16—41no—
1460SD16—41no—
1461SD16—942no—
1462SD16—942no—
1463SD16—942no—
1464SD16—1881no—
1465SD16—1881no—
1466SD16—1881no—
1467SD16—1881no—
1468SD16—1881no—
1469SD16—1881no—
1470SD16—1881no—
1471D8—41no—
1472D8—1881no—
1473D8—1881no—
1474D8—1881no—
1475M16—41no—
1476M16—41no—
1477M16—1881no—
1478M16—1881no—
1479C2×C8—471no—
1480C2×C8—471no—
1481C2×C8—471no—
1482C2×C8—471no—
1483C2×C8—1881no—
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—471no—
1494C4⋊C4—471no—
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—941no—
1507C4⋊C4—941no—
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—21no—
1535C22⋊C4—471no—
1536C22⋊C4—471no—
1537C22⋊C4—471no—
1538C22⋊C4—471no—
1539C22⋊C4—471no—
1540C22⋊C4—471no—
1541C22⋊C4—471no—
1542C22⋊C4—471no—
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—21no—
1576C42—471no—
1577C42—471no—
1578C42—471no—
1579C42—471no—
1580C42—471no—
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—471no—
1596C23—941no—
1597C23—941no—
1598C23—941no—
1599C23—3761no—
1600C23—3761no—
1601C23—3761no—
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—81no—
1619Q8—941no—
1620Q8—941no—
1621Q8—3761no—
1622Q8—3761no—
1623Q8—3761no—
1624Q8—3761no—
1625Q8—1881no—
1626Q8—1882no—
1627Q8#1309406912yes—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—41no—
1633D4—42no—
1634D4—42no—
1635D4—81no—
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—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—1882no—
1694C2×C4—1881no—
1695C2×C4—1881no—
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—941no—
1723C22—941no—
1724C22—941no—
1725C22—1881no—
1726C22—1881no—
1727C22—1881no—
1728C22—1881no—
1729C22—1881no—
1730C22—1881no—
1731C22—1881no—
1732C22—1881no—
1733C22—1881no—
1734C22—7522no—
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#2025816511yescharacteristic
1772C2#2025817311yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3277C2
socleC22×C47C23×D4
hypercenter#3277D47
hypocenterC47#62092
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3277

Complements

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

NH ≅ G/Ntype
1. #20257905C2semidirect
2. #20257396C2semidirect
3. #20256460C2semidirect
4. #20256457C2semidirect
5. #20256200C2semidirect
6. #20256197C2semidirect
7. #20255620C2semidirect
8. #20255614C2semidirect
9. #20255548C2semidirect
10. #20255539C2semidirect
11. #20255454C2semidirect
12. #20255447C2semidirect
13. #20255039C2semidirect
14. #20254892C2semidirect
15. #20254891C2semidirect
16. #20254886C2semidirect
17. #20254884C2semidirect
18. #20254847C2semidirect
19. #20254845C2semidirect
20. #20254770C2semidirect
21. #20254480C2semidirect
22. #20254475C2semidirect
23. #20254390C2semidirect
24. #20253623C2semidirect
25. #20253618C2semidirect
26. #20253532C2semidirect
27. #20252911C2semidirect
28. #20252907C2semidirect
29. #20252884C2semidirect
30. #20252552C2semidirect
31. C47×#3277C2semidirect
32. C2×#13094056C22semidirect
34. C22×#10625336C22semidirect
35. C2×SD16×D47C22semidirect
40. Q8×Dic94C22semidirect
42. #15689844C22semidirect
44. #15689843C22semidirect
46. #15689842C22semidirect
48. #15689837C22semidirect
49. Q8×C22⋊D47C22semidirect
51. #15689780C22semidirect
61. #15689742C22semidirect
63. #15689740C22semidirect
71. #15689675C22semidirect
76. #15689601C22semidirect
77. #15689599C22semidirect
78. #41×Dic47C22semidirect
79. #15689516C22semidirect
80. #15689516C22semidirect
83. #15689504C22semidirect
84. #15689484C22semidirect
85. #15689484C22semidirect
86. #15689484C22semidirect
87. #15689482C22semidirect
90. #15689462C22semidirect
91. #15689461C22semidirect
94. #15689448C22semidirect
95. #15689444C22semidirect
96. #15689418C22semidirect
97. #15689417C22semidirect
98. #15689416C22semidirect
99. #15689416C22semidirect
100. #15689406C22semidirect
101. #15689404C22semidirect
102. #15689402C22semidirect
103. #15689402C22semidirect
104. #15689401C22semidirect
105. #15689401C22semidirect
107. #15689371C22semidirect
109. #15689369C22semidirect
110. #15689367C22semidirect
111. #15689366C22semidirect
112. #15689362C22semidirect
113. #15689361C22semidirect
116. #15689348C22semidirect
117. #15689348C22semidirect
118. #15689347C22semidirect
119. #15689347C22semidirect
120. #15689347C22semidirect
121. #15689347C22semidirect
122. #15689347C22semidirect
123. #15689347C22semidirect
124. #15689347C22semidirect
125. #15689347C22semidirect
126. #15689343C22semidirect
127. #15689342C22semidirect
128. #15689340C22semidirect
129. #15689340C22semidirect
130. #15689340C22semidirect
131. #15689340C22semidirect
132. #15689337C22semidirect
133. #15689335C22semidirect
134. #15689327C22semidirect
135. #15689326C22semidirect
138. #15689322C22semidirect
141. #15689321C22semidirect
142. #15689321C22semidirect
143. #15689316C22semidirect
144. #15689285C22semidirect
145. #15689284C22semidirect
146. #15689279C22semidirect
147. #15689277C22semidirect
149. #15689276C22semidirect
151. #15689272C22semidirect
152. #15689268C22semidirect
153. #15689267C22semidirect
156. #15689256C22semidirect
157. #15689255C22semidirect
158. #15689253C22semidirect
159. #15689252C22semidirect
160. #15689235C22semidirect
161. #15689232C22semidirect
162. #15689230C22semidirect
163. #15689228C22semidirect
164. #15689226C22semidirect
165. #15689226C22semidirect
166. #15689224C22semidirect
167. #15689221C22semidirect
168. Q16×Dic47C22semidirect
169. C4×#10625325C22semidirect
170. #15689208C22semidirect
171. #15689199C22semidirect
172. #15689197C22semidirect
173. #15689195C22semidirect
174. #15689192C22semidirect
175. #15689191C22semidirect
176. #15689182C22semidirect
177. #15689181C22semidirect
178. #15689177C22semidirect
179. #15689151C22semidirect
180. #15689148C22semidirect
181. #15689146C22semidirect
182. #15689132C22semidirect
184. #15689129C22semidirect
185. #15689126C22semidirect
186. #15689119C22semidirect
187. #15689118C22semidirect
188. C2×#137×C47C22semidirect
189. C2×#137×C47C22semidirect
191. C47×#548C22semidirect
192. C47×#495C22semidirect
193. C47×#468C22semidirect
194. C47×#468C22semidirect
195. C47×#464C22semidirect
196. C47×#464C22semidirect
197. C47×#451C22semidirect
198. C47×#451C22semidirect
199. C47×#449C22semidirect
200. C47×#449C22semidirect
201. C4×Q16×C47C22semidirect
202. C47×#436C22semidirect
889. #3277D47semidirect
919. C2×#137C2×D47semidirect
920. C2×#137C2×D47semidirect
941. #548C2×D47semidirect
974. #495C2×D47semidirect
1003. #468C2×D47semidirect
1004. #468C2×D47semidirect
1021. #464C2×D47semidirect
1022. #464C2×D47semidirect
1043. #451C2×D47semidirect
1044. #451C2×D47semidirect
1051. #449C2×D47semidirect
1052. #449C2×D47semidirect
1068. C4×Q16C2×D47semidirect
1072. #436C2×D47semidirect
1089. C47#62092semidirect

Maximal subgroups

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

subgroupindex
#202579052
#202573962
#202564602
#202564572
#202562002
#202561972
#202556202
#202556142
#202555482
#202555392
#202554542
#202554472
#202550392
#202548922
#202548912
#202548862
#202548842
#202548472
#202548452
#202547702
#202544802
#202544752
#202543902
#202536232
#202536182
#202535322
#202529112
#202529072
#202528842
#202525522
C47×#32772
#6209247