Finite Group Databasebeta

← #27111761

Subgroups — #27111761

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#20257398C211yesmaximal, characteristic, complemented
3#20256458C211yesmaximal, characteristic, complemented
4#20256455C211yesmaximal, characteristic, complemented
5#20256201C211yesmaximal, characteristic, complemented
6#20256199C211yesmaximal, characteristic, complemented
7#20255617C211yesmaximal, characteristic, complemented
8#20255613C211yesmaximal, characteristic, complemented
9#20255547C211yesmaximal, characteristic, complemented
10#20255540C211yesmaximal, characteristic, complemented
11#20255455C211yesmaximal, characteristic, complemented
12#20255045C211yesmaximal, characteristic, complemented
13#20255041C211yesmaximal, characteristic, complemented
14#20254896C211yesmaximal, characteristic, complemented
15#20254895C211yesmaximal, characteristic, complemented
16#20254890C211yesmaximal, characteristic, complemented
17#20254888C211yesmaximal, characteristic, complemented
18#20254851C211yesmaximal, characteristic, complemented
19#20254850C211yesmaximal, characteristic, complemented
20#20254770C211yesmaximal, characteristic, complemented
21#20254488C211yesmaximal, characteristic, complemented
22#20254483C211yesmaximal, characteristic, complemented
23#20254390C211yesmaximal, characteristic, complemented
24#20253621C211yesmaximal, characteristic, complemented
25#20253620C211yesmaximal, characteristic, complemented
26#20253534C211yesmaximal, characteristic, complemented
27#20252912C211yesmaximal, characteristic, complemented
28#20252907C211yesmaximal, characteristic, complemented
29#20252885C211yesmaximal, characteristic, complemented
30#20252559C211yesmaximal, characteristic, complemented
31C47×#3313C211yesmaximal, characteristic, complemented
32C2×#13094056C2211yescharacteristic, complemented
33C2×#13094055C2211yescharacteristic, complemented
34C2×#13094054C2211yescharacteristic, complemented
35C2×#13094052C2211yescharacteristic
36C22×#10625325C2211yescharacteristic, complemented
37C2×SD16×D47C2211yescharacteristic, complemented
38#15689869—21no—
39#15689865—21no—
40#15689858C2211yescharacteristic
41#15689855C2211yescharacteristic
42#15689853C2211yescharacteristic, complemented
43#15689845—21no—
44#15689845C2211yescharacteristic, complemented
45#15689841C2211yescharacteristic, complemented
46#15689840—21no—
47#15689840—21no—
48#15689836C2211yescharacteristic, complemented
49#15689835—21no—
50#15689786C2211yescharacteristic, complemented
51#15689784C2211yescharacteristic
52#15689783C2211yescharacteristic, complemented
53#15689782C2211yescharacteristic, complemented
54#15689768—21no—
55#15689764C2211yescharacteristic
56#15689762—21no—
57#15689761C2211yescharacteristic
58D4×D188C2211yescharacteristic
59#15689757C2211yescharacteristic
60#15689747C2211yescharacteristic, complemented
61#15689746C2211yescharacteristic
62#15689746C2211yescharacteristic, complemented
63#15689745C2211yescharacteristic
64#15689739—21no—
65#15689737—21no—
66#15689713—21no—
67#15689707—21no—
68#15689706—21no—
69#15689691C2211yescharacteristic
70#15689687C2211yescharacteristic
71#15689681—21no—
72#15689677—21no—
73#15689675C2211yescharacteristic, complemented
74#15689668C2211yescharacteristic
75#15689656—21no—
76#15689653C2211yescharacteristic
77C2×#13094013C2211yescharacteristic
78#15689600C2211yescharacteristic, complemented
79#15689599C2211yescharacteristic, complemented
80#15689591C2211yescharacteristic, complemented
81#15689516C2211yescharacteristic, complemented
82#15689516C2211yescharacteristic, complemented
83#15689512C2211yescharacteristic
84#15689509C2211yescharacteristic
85#15689508C2211yescharacteristic, complemented
86#15689505C2211yescharacteristic, complemented
87#15689484C2211yescharacteristic, complemented
88#15689484C2211yescharacteristic, complemented
89#15689484C2211yescharacteristic, complemented
90#15689471C2211yescharacteristic
91#15689468C2211yescharacteristic
92#15689463C2211yescharacteristic, complemented
93#15689449C2211yescharacteristic
94#15689447C2211yescharacteristic
95#15689447C2211yescharacteristic, complemented
96#15689417C2211yescharacteristic, complemented
97#15689416C2211yescharacteristic, complemented
98#15689416C2211yescharacteristic, complemented
99#15689407C2211yescharacteristic, complemented
100#15689402C2211yescharacteristic, complemented
101#15689402C2211yescharacteristic, complemented
102#15689402C2211yescharacteristic, complemented
103#15689401C2211yescharacteristic, complemented
104#15689400C2211yescharacteristic, complemented
105#15689372C2211yescharacteristic, complemented
106#15689371C2211yescharacteristic
107#15689371C2211yescharacteristic, complemented
108#15689371C2211yescharacteristic, complemented
109#15689370C2211yescharacteristic
110#15689369C2211yescharacteristic, complemented
111#15689367C2211yescharacteristic, complemented
112#15689363C2211yescharacteristic, complemented
113#15689360C2211yescharacteristic
114#15689359C2211yescharacteristic
115#15689348C2211yescharacteristic, complemented
116#15689348C2211yescharacteristic, complemented
117#15689348C2211yescharacteristic, complemented
118#15689348C2211yescharacteristic, complemented
119#15689348C2211yescharacteristic, complemented
120#15689348C2211yescharacteristic, complemented
121#15689348C2211yescharacteristic, complemented
122#15689348C2211yescharacteristic, complemented
123#15689347C2211yescharacteristic, complemented
124#15689347C2211yescharacteristic, complemented
125#15689347C2211yescharacteristic, complemented
126#15689345C2211yescharacteristic, complemented
127#15689342C2211yescharacteristic, complemented
128#15689341C2211yescharacteristic, complemented
129#15689341C2211yescharacteristic, complemented
130#15689341C2211yescharacteristic, complemented
131#15689341C2211yescharacteristic, complemented
132#15689341C2211yescharacteristic, complemented
133#15689339C2211yescharacteristic, complemented
134#15689327C2211yescharacteristic, complemented
135#15689326C2211yescharacteristic, complemented
136#15689324C2211yescharacteristic
137#15689323C2211yescharacteristic
138#15689322C2211yescharacteristic
139#15689322C2211yescharacteristic
140#15689322C2211yescharacteristic, complemented
141#15689322C2211yescharacteristic, complemented
142#15689321C2211yescharacteristic, complemented
143#15689317C2211yescharacteristic, complemented
144#15689288C2211yescharacteristic, complemented
145#15689279C2211yescharacteristic, complemented
146#15689278C2211yescharacteristic, complemented
147#15689277C2211yescharacteristic, complemented
148#15689276C2211yescharacteristic
149#15689275C2211yescharacteristic, complemented
150#15689273C2211yescharacteristic
151#15689273C2211yescharacteristic, complemented
152#15689271C2211yescharacteristic, complemented
153#15689270C2211yescharacteristic, complemented
154#15689268C2211yescharacteristic, complemented
155#15689266C2211yescharacteristic, complemented
156#15689264C2211yescharacteristic
157#15689263C2211yescharacteristic
158#15689259C2211yescharacteristic, complemented
159#15689258C2211yescharacteristic, complemented
160#15689251C2211yescharacteristic, complemented
161#15689250C2211yescharacteristic, complemented
162#15689234C2211yescharacteristic, complemented
163#15689232C2211yescharacteristic, complemented
164#15689227C2211yescharacteristic, complemented
165#15689225C2211yescharacteristic, complemented
166#15689222C2211yescharacteristic, complemented
167#15689222C2211yescharacteristic, complemented
168#15689220C2211yescharacteristic, complemented
169C4×#10625337C2211yescharacteristic, complemented
170#15689215C2211yescharacteristic, complemented
171C4×#10625336C2211yescharacteristic, complemented
172#15689210C2211yescharacteristic, complemented
173#15689201C2211yescharacteristic, complemented
174#15689198C2211yescharacteristic, complemented
175#15689197C2211yescharacteristic, complemented
176#15689194C2211yescharacteristic, complemented
177#15689192C2211yescharacteristic, complemented
178#15689185C2211yescharacteristic, complemented
179#15689181C2211yescharacteristic, complemented
180#15689177C2211yescharacteristic, complemented
181#15689149C2211yescharacteristic, complemented
182#15689148C2211yescharacteristic, complemented
183#15689146C2211yescharacteristic, complemented
184#15689127C2211yescharacteristic
185#15689127C2211yescharacteristic, complemented
186#15689126C2211yescharacteristic, complemented
187#15689118C2211yescharacteristic, complemented
188C47×#556C2211yescharacteristic, complemented
189C47×#548C2211yescharacteristic
190C47×#489C2211yescharacteristic, complemented
191C47×#485C2211yescharacteristic, complemented
192C47×#482C2211yescharacteristic, complemented
193C47×#477C2211yescharacteristic, complemented
194C47×#468C2211yescharacteristic, complemented
195C47×#467C2211yescharacteristic, complemented
196C47×#464C2211yescharacteristic, complemented
197C47×#452C2211yescharacteristic, complemented
198C47×#451C2211yescharacteristic, complemented
199C47×#441C2211yescharacteristic, complemented
200C47×#435C2211yescharacteristic, complemented
201C47×#419C2211yescharacteristic, complemented
202C47×#416C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625350C2311yescharacteristic
205C2×#10625352—21no—
206C22×Dic94C2311yescharacteristic
207C2×Q8×D47C2311yescharacteristic
208C22×D188C2311yescharacteristic
209C22×D188C2311yescharacteristic
210C2×D4×D47—21no—
211C2×D4×D47—21no—
212C2×D4×D47C2311yescharacteristic
213#13094056—42no—
214#13094055—42no—
215#13094054—42no—
216#13094052—42no—
217C2×#10625337C2311yescharacteristic
218C2×#10625337C2311yescharacteristic
219C2×#10625337C2311yescharacteristic
220C2×#10625337C2311yescharacteristic
221C2×#10625325—42no—
222C2×#10625325C2311yescharacteristic
223C2×#10625325C2311yescharacteristic
224C2×#10625325C2311yescharacteristic
225C2×#10625325C2311yescharacteristic
226C2×#10625325C2311yescharacteristic
227C2×#10625325C2311yescharacteristic
228C2×#10625335C2311yescharacteristic
229C2×#10625335C2311yescharacteristic
230C2×#10625336C2311yescharacteristic
231C2×#10625336C2311yescharacteristic
232C2×#10625336C2311yescharacteristic
233C2×#10625336C2311yescharacteristic
234C2×#10625336C2311yescharacteristic
235SD16×D47—42no—
236C2×D376C2311yescharacteristic
237C2×D376C2311yescharacteristic
238C2×D376C2311yescharacteristic
239C2×#10625334C2311yescharacteristic
240C2×#10625329C2311yescharacteristic
241C2×#10625329C2311yescharacteristic
242C2×#10625324C2311yescharacteristic
243C2×C8×D47C2311yescharacteristic
244#13094023—21no—
245#13094023—21no—
246#13094023C2311yescharacteristic
247#13094023C2311yescharacteristic
248#13094023C2311yescharacteristic
249#13094022—21no—
250#13094022—21no—
251#13094022C2311yescharacteristic
252#13094021C2311yescharacteristic
253#13094020C2311yescharacteristic
254#13094020C2311yescharacteristic
255#13094019—21no—
256#13094019—21no—
257#13094019—21no—
258#13094019—21no—
259#13094019D411yescharacteristic
260#13094018—21no—
261#13094018—21no—
262#13094018—21no—
263#13094017—21no—
264#13094017D411yescharacteristic
265#13094014—21no—
266#13094014D411yescharacteristic
267#13094013—21no—
268#13094013—21no—
269#13094013—21no—
270#13094013—21no—
271#13094013C2311yescharacteristic
272#13094013C2311yescharacteristic
273#13094013C2311yescharacteristic
274#13094013C2311yescharacteristic
275#13094013C2311yescharacteristic
276#13094013C2311yescharacteristic
277#13094012—21no—
278#13094012—21no—
279#13094012—21no—
280#13094012C2311yescharacteristic
281#13094010—21no—
282#13094010—21no—
283#13094010—21no—
284#13094010—21no—
285#13094010—21no—
286#13094010—21no—
287#13094010—21no—
288#13094010—21no—
289#13094010D411yescharacteristic
290#13094009—21no—
291#13094009—21no—
292#13094009—21no—
293#13094009—21no—
294#13094009—21no—
295#13094008—21no—
296#13094008D411yescharacteristic
297#13094007—21no—
298#13094006—21no—
299#13094006—21no—
300#13094006—21no—
301#13094005D411yescharacteristic
302#13094004—21no—
303#13094004—21no—
304#13094004C2311yescharacteristic
305#13094003C2311yescharacteristic
306#13094002—21no—
307#13094002—21no—
308#13094002—21no—
309#13094002—21no—
310#13094002—21no—
311#13094001—21no—
312#13094001—21no—
313#13094001D411yescharacteristic
314#13094000—21no—
315#13094000—21no—
316#13094000C2311yescharacteristic
317#13093999—21no—
318#13093999—21no—
319#13093999C2311yescharacteristic
320#13093999C2311yescharacteristic
321#13093998—21no—
322#13093998—21no—
323#13093998—21no—
324#13093998C2311yescharacteristic
325#13093998C2311yescharacteristic
326#13093998C2311yescharacteristic
327#13093997—21no—
328#13093997—21no—
329#13093997—21no—
330#13093997—21no—
331#13093997—21no—
332#13093996—21no—
333#13093996—21no—
334#13093996—21no—
335#13093996D411yescharacteristic
336#13093994—21no—
337#13093994—21no—
338#13093994—21no—
339#13093994—21no—
340#13093994—21no—
341#13093994—21no—
342#13093992—21no—
343#13093992—21no—
344#13093992—21no—
345#13093992—21no—
346Q8×Dic47C2311yescharacteristic
347Q8×Dic47C2311yescharacteristic
348C4×Dic94—21no—
349C4×Dic94—21no—
350C4×Dic94—21no—
351C4×Dic94—21no—
352C4×Dic94C2311yescharacteristic
353C4×Dic94C2311yescharacteristic
354#13093989—21no—
355#13093989—21no—
356#13093989—21no—
357#13093989C2311yescharacteristic
358#13093989C2311yescharacteristic
359#13093989C2311yescharacteristic
360#13093989C2311yescharacteristic
361#13093989C2311yescharacteristic
362C4×D188—21no—
363C4×D188C2311yescharacteristic
364D4×Dic47C2311yescharacteristic
365#13093986—21no—
366#13093986C2311yescharacteristic
367#13093986C2311yescharacteristic
368#13093986C2311yescharacteristic
369#13093986C2311yescharacteristic
370C4×C22⋊D47—21no—
371C4×C22⋊D47C2311yescharacteristic
372C4×C22⋊D47C2311yescharacteristic
373(C22⋊D47)⋊C4—21no—
374(C22⋊D47)⋊C4—21no—
375(C22⋊D47)⋊C4—21no—
376(C22⋊D47)⋊C4—21no—
377(C22⋊D47)⋊C4—21no—
378(C22⋊D47)⋊C4—21no—
379#13093983C2311yescharacteristic
380#13093982—21no—
381#13093982C2311yescharacteristic
382#13093981—21no—
383#13093981—21no—
384#13093981—21no—
385#13093981—21no—
386#13093981C2311yescharacteristic
387#13093980—21no—
388#13093980—21no—
389#13093980—21no—
390C2×(C2×D47)⋊C4—21no—
391C2×(C2×D47)⋊C4—21no—
392C2×(C2×D47)⋊C4—21no—
393C22⋊C4×D47—21no—
394C2×C4×Dic47C2311yescharacteristic
395C42×D47—21no—
396#13093958C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093957C2311yescharacteristic
400#13093955C2311yescharacteristic
401C4⋊(C47⋊C8)C2311yescharacteristic
402Dic47⋊C8C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406Dic47⋊C8C2311yescharacteristic
407Dic47⋊C8C2311yescharacteristic
408Dic47⋊C8C2311yescharacteristic
409Dic47⋊C8C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093944C2311yescharacteristic
423#13093944C2311yescharacteristic
424#13093944C2311yescharacteristic
425#13093944C2311yescharacteristic
426#13093944C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432C22⋊(C47⋊C8)C2311yescharacteristic
433C22⋊(C47⋊C8)C2311yescharacteristic
434(C2×D47)⋊C8C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436#13093934C2311yescharacteristic
437#13093934C2311yescharacteristic
438#13093934C2311yescharacteristic
439C4×C47⋊C8C2311yescharacteristic
440C8×Dic47C2311yescharacteristic
441C2×#41×C47C2311yescharacteristic
442C22×Q8×C47C2311yescharacteristic
443C2×Q16×C47C2311yescharacteristic
444C2×Q16×C47C2311yescharacteristic
445C2×SD16×C47C2311yescharacteristic
446C2×M16×C47C2311yescharacteristic
447C22×C8×C47C2311yescharacteristic
448C4⋊Q8×C47C2311yescharacteristic
449#126×C47—21no—
450#126×C47—21no—
451#124×C47—21no—
452#124×C47—21no—
453#124×C47C2311yescharacteristic
454C22⋊Q8×C47—21no—
455C22⋊Q8×C47C2311yescharacteristic
456C22⋊Q8×C47C2311yescharacteristic
457C22⋊Q8×C47C2311yescharacteristic
458#121×C47—21no—
459#121×C47C2311yescharacteristic
460C4×Q8×C47—21no—
461C4×Q8×C47C2311yescharacteristic
462C4×Q8×C47C2311yescharacteristic
463C4×D4×C47—21no—
464C4×D4×C47C2311yescharacteristic
465#117×C47C2311yescharacteristic
466#117×C47C2311yescharacteristic
467#107×C47C2311yescharacteristic
468#107×C47C2311yescharacteristic
469#106×C47C2311yescharacteristic
470C4⋊C8×C47C2311yescharacteristic
471#103×C47C2311yescharacteristic
472#103×C47C2311yescharacteristic
473#103×C47C2311yescharacteristic
474#103×C47C2311yescharacteristic
475#103×C47C2311yescharacteristic
476#103×C47C2311yescharacteristic
477#103×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481C22⋊C8×C47C2311yescharacteristic
482C22⋊C8×C47C2311yescharacteristic
483#97×C47C2311yescharacteristic
484C23×D47—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—41no—
492C2×Q8×C47—41no—
493C2×Q8×C47C2411yescharacteristic
494C2×Q8×C47C2411yescharacteristic
495C2×Q8×C47C2411yescharacteristic
496C2×D4×C47—21no—
497C2×D4×C47—21no—
498C2×D4×C47C2×D411yescharacteristic
499C2×D4×C47C2411yescharacteristic
500C22×C4×C47—21no—
501C22×C4×C47—21no—
502C22×C4×C47C2411yescharacteristic
503C22×C4×C47C2411yescharacteristic
504C2×C22⋊D47—21no—
505C2×C22⋊D47—21no—
506C2×C22⋊D47—21no—
507C2×C22⋊D47—21no—
508C2×C22⋊D47—21no—
509C2×C22⋊D47—21no—
510C2×C22⋊D47—21no—
511C2×C22⋊D47—21no—
512C2×C22⋊D47—21no—
513C2×C22⋊D47C2×D411yescharacteristic
514C2×C22⋊D47C2×D411yescharacteristic
515C22×Dic47—21no—
516C22×Dic47—21no—
517C22×Dic47C2×D411yescharacteristic
518C22×Dic47C2×D411yescharacteristic
519#10625354—41no—
520#10625354—41no—
521Q8×D47—22no—
522Q8×D47—41no—
523#10625352—82no—
524D4×D47—41no—
525D4×D47—41no—
526D4×D47—82no—
527D4×D47—82no—
528#10625350—22no—
529#10625350—41no—
530C2×D188—21no—
531C2×D188—21no—
532C2×D188—21no—
533C2×D188—21no—
534C2×D188—21no—
535C2×D188—21no—
536C2×D188—21no—
537C2×D188—41no—
538C2×D188—41no—
539C2×D188—41no—
540C2×D188—41no—
541C2×D188C2411yescharacteristic
542C2×D188C2411yescharacteristic
543C2×D188C2411yescharacteristic
544C2×D188C2411yescharacteristic
545C2×C4×D47—21no—
546C2×C4×D47—21no—
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×D47C2411yescharacteristic
554C2×Dic94—22no—
555C2×Dic94—21no—
556C2×Dic94—21no—
557C2×Dic94—21no—
558C2×Dic94—21no—
559C2×Dic94—21no—
560C2×Dic94—41no—
561C2×Dic94C2×D411yescharacteristic
562C2×Dic94C2411yescharacteristic
563C2×Dic94C2411yescharacteristic
564Q16×C47—41no—
565Q16×C47—41no—
566SD16×C47—41no—
567M16×C47—41no—
568C2×C8×C47—41no—
569C2×C8×C47C2411yescharacteristic
570C2×C8×C47C2411yescharacteristic
571C2×C8×C47C2411yescharacteristic
572C2×C8×C47C2411yescharacteristic
573C4⋊C4×C47—21no—
574C4⋊C4×C47—21no—
575C4⋊C4×C47—21no—
576C4⋊C4×C47—21no—
577C4⋊C4×C47—21no—
578C4⋊C4×C47—21no—
579C4⋊C4×C47C2×D411yescharacteristic
580C4⋊C4×C47C2411yescharacteristic
581C4⋊C4×C47C2411yescharacteristic
582C4⋊C4×C47C2411yescharacteristic
583C4⋊C4×C47C2411yescharacteristic
584C22⋊C4×C47—21no—
585C22⋊C4×C47—21no—
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×C47C2×D411yescharacteristic
593C22⋊C4×C47C2×D411yescharacteristic
594C42×C47—21no—
595C42×C47—21no—
596C42×C47—21no—
597C42×C47—21no—
598C42×C47C2411yescharacteristic
599C22⋊Dic47—21no—
600C22⋊Dic47—21no—
601C22⋊Dic47C2×D411yescharacteristic
602C22⋊Dic47C2×D411yescharacteristic
603C22⋊Dic47C2×D411yescharacteristic
604C22⋊Dic47C2×D411yescharacteristic
605#10625337—22no—
606#10625337—22no—
607#10625337—41no—
608#10625337—41no—
609#10625336—41no—
610#10625336—41no—
611#10625336—41no—
612#10625336—41no—
613#10625336—41no—
614#10625335—22no—
615#10625335—41no—
616#10625334—41no—
617(C2×D47)⋊C4—21no—
618(C2×D47)⋊C4—21no—
619(C2×D47)⋊C4—21no—
620(C2×D47)⋊C4—21no—
621(C2×D47)⋊C4—21no—
622(C2×D47)⋊C4—21no—
623(C2×D47)⋊C4—21no—
624(C2×D47)⋊C4—21no—
625(C2×D47)⋊C4—21no—
626(C2×D47)⋊C4—21no—
627(C2×D47)⋊C4—21no—
628(C2×D47)⋊C4—21no—
629(C2×D47)⋊C4—21no—
630(C2×D47)⋊C4—21no—
631(C2×D47)⋊C4—21no—
632(C2×D47)⋊C4—21no—
633(C2×D47)⋊C4—21no—
634(C2×D47)⋊C4—21no—
635(C2×D47)⋊C4—21no—
636(C2×D47)⋊C4—21no—
637(C2×D47)⋊C4—21no—
638(C2×D47)⋊C4—21no—
639(C2×D47)⋊C4—21no—
640(C2×D47)⋊C4—21no—
641(C2×D47)⋊C4—21no—
642(C2×D47)⋊C4—21no—
643(C2×D47)⋊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⋊Dic47C2×D411yescharacteristic
652C4⋊Dic47C2×D411yescharacteristic
653C4⋊Dic47C2×D411yescharacteristic
654C4⋊Dic47C2411yescharacteristic
655C4⋊Dic47C2411yescharacteristic
656Dic47⋊C4—21no—
657Dic47⋊C4—21no—
658Dic47⋊C4—21no—
659Dic47⋊C4—21no—
660Dic47⋊C4—21no—
661Dic47⋊C4—21no—
662Dic47⋊C4—21no—
663Dic47⋊C4—21no—
664Dic47⋊C4—21no—
665Dic47⋊C4—21no—
666Dic47⋊C4—21no—
667Dic47⋊C4—21no—
668Dic47⋊C4—21no—
669Dic47⋊C4C2×D411yescharacteristic
670Dic47⋊C4C2×D411yescharacteristic
671Dic47⋊C4C2×D411yescharacteristic
672Dic47⋊C4C2×D411yescharacteristic
673Dic47⋊C4C2×D411yescharacteristic
674Dic47⋊C4C2×D411yescharacteristic
675C4×Dic47—21no—
676C4×Dic47—21no—
677C4×Dic47—21no—
678C4×Dic47—21no—
679C4×Dic47—21no—
680C4×Dic47—21no—
681C4×Dic47—21no—
682C4×Dic47—21no—
683C4×Dic47—21no—
684C4×Dic47C2×D411yescharacteristic
685C4×Dic47C2×D411yescharacteristic
686C4×Dic47C2411yescharacteristic
687C4×Dic47C2411yescharacteristic
688C4×Dic47C2411yescharacteristic
689#10625329—41no—
690#10625329—41no—
691C2×C47⋊C8C2411yescharacteristic
692C2×C47⋊C8C2411yescharacteristic
693C2×C47⋊C8C2411yescharacteristic
694C2×C47⋊C8C2411yescharacteristic
695D376—41no—
696D376—41no—
697D376—41no—
698#10625325—22no—
699#10625325—22no—
700#10625325—22no—
701#10625325—41no—
702#10625325—41no—
703#10625325—41no—
704#10625324—41no—
705C8×D47—41no—
706C23×C47—21no—
707C23×C47C22×D411yescharacteristic
708C23×C47C22×D411yescharacteristic
709C22×D47—21no—
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—81no—
730Q8×C47—81no—
731D4×C47—21no—
732D4×C47—21no—
733D4×C47—41no—
734D4×C47—42no—
735D4×C47—81no—
736C2×C4×C47—21no—
737C2×C4×C47—21no—
738C2×C4×C47—21no—
739C2×C4×C47—21no—
740C2×C4×C47—21no—
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—81no—
748C2×C4×C47—81no—
749C2×C4×C47C22×D411yescharacteristic
750C2×C4×C47C22×D411yescharacteristic
751C2×C4×C47C22×D411yescharacteristic
752C2×C4×C47C22×D411yescharacteristic
753C2×C4×C47C2511yescharacteristic
754C22⋊D47—41no—
755C22⋊D47—41no—
756C22⋊D47—42no—
757C22⋊D47—42no—
758C22⋊D47—81no—
759C22⋊D47—81no—
760C22⋊D47—81no—
761C22⋊D47—81no—
762C22⋊D47—81no—
763C22⋊D47—81no—
764C22⋊D47—81no—
765C2×Dic47—21no—
766C2×Dic47—21no—
767C2×Dic47—21no—
768C2×Dic47—21no—
769C2×Dic47—41no—
770C2×Dic47—41no—
771C2×Dic47—42no—
772C2×Dic47—81no—
773C2×Dic47C22×D411yescharacteristic
774C2×Dic47C22×D411yescharacteristic
775C2×Dic47C22×D411yescharacteristic
776C2×Dic47C22×D411yescharacteristic
777C2×Dic47C22×D411yescharacteristic
778C2×Dic47C22×D411yescharacteristic
779C2×Dic47C22×D411yescharacteristic
780D188—21no—
781D188—21no—
782D188—21no—
783D188—21no—
784D188—21no—
785D188—21no—
786D188—21no—
787D188—21no—
788D188—81no—
789D188—81no—
790D188—81no—
791D188—81no—
792D188—81no—
793D188—81no—
794D188—81no—
795C4×D47—21no—
796C4×D47—21no—
797C4×D47—42no—
798C4×D47—42no—
799C4×D47—42no—
800C4×D47—81no—
801C4×D47—81no—
802C4×D47—81no—
803C4×D47—81no—
804C4×D47—81no—
805Dic94—21no—
806Dic94—21no—
807Dic94—21no—
808Dic94—41no—
809Dic94—42no—
810Dic94—42no—
811Dic94—81no—
812Dic94—81no—
813Dic94—81no—
814Dic94H(5,𝔽2)12yes—
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×C47C23×D411yescharacteristic
834C2×D47—21no—
835C2×D47—21no—
836C2×D47—21no—
837C2×D47—41no—
838C2×D47—41no—
839C2×D47—41no—
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—21no—
855C4×C47—21no—
856C4×C47—41no—
857C4×C47—41no—
858C4×C47—41no—
859C4×C47—41no—
860C4×C47—41no—
861C4×C47—41no—
862C4×C47—41no—
863C4×C47C2×H(5,𝔽2)11yescharacteristic
864C4×C47#58511yescharacteristic
865Dic47—21no—
866Dic47—21no—
867Dic47—21no—
868Dic47—21no—
869Dic47—21no—
870Dic47—21no—
871Dic47—22no—
872Dic47—21no—
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#3313D4711yescharacteristic, complemented
888#3277—471no—
889#3277—471no—
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#348811yescharacteristic
911C2×C47#358511yescharacteristic
912C2×C47#358611yescharacteristic
913D47—41no—
914D47—81no—
915D47—81no—
916D47—81no—
917D47—81no—
918C2×#137—471no—
919C2×#137—471no—
920C2×#137—471no—
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—941no—
932#556—941no—
933#556—941no—
934#556C2×D4711yescharacteristic, complemented
935#555—471no—
936#555—941no—
937D4×Q8—471no—
938#548—471no—
939#548—471no—
940#548—471no—
941#548C2×D4711yescharacteristic
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#495—471no—
975#489—471no—
976#489—471no—
977#489—471no—
978#489C2×D4711yescharacteristic, complemented
979#486—471no—
980#486—471no—
981#485—471no—
982#485C2×D4711yescharacteristic, complemented
983#482—471no—
984#482—471no—
985#482—471no—
986#482C2×D4711yescharacteristic, complemented
987#477—471no—
988#477—471no—
989#477—471no—
990#477C2×D4711yescharacteristic, complemented
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, complemented
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#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#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#450—471no—
1049#449—471no—
1050#449—471no—
1051#449—471no—
1052#449—471no—
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#441C2×D4711yescharacteristic, complemented
1063#440—471no—
1064#440—471no—
1065#440—471no—
1066#440—471no—
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#419C2×D4711yescharacteristic, complemented
1084#418—471no—
1085#418—471no—
1086#418—471no—
1087#416—471no—
1088#416C2×D4711yescharacteristic, complemented
1089C47#6209211yescharacteristic, complemented, Sylow
1090C2×#41—471no—
1091C2×#41—471no—
1092C2×#41—941no—
1093C2×#41C22×D4711yescharacteristic
1094C22×Q8—471no—
1095C22×Q8—471no—
1096C22×Q8C22×D4711yescharacteristic
1097C22×D4—471no—
1098C22×D4—471no—
1099C22×D4—471no—
1100C22×D4—941no—
1101C22×D4—941no—
1102#137—1882no—
1103#137—1882no—
1104#137—1882no—
1105AGL(1,ℤ/8)—1882no—
1106C2×Q16—471no—
1107C2×Q16—471no—
1108C2×Q16—471no—
1109C2×Q16—471no—
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—471no—
1123C2×SD16—471no—
1124C2×SD16—471no—
1125C2×SD16—1882no—
1126C2×SD16—1882no—
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—471no—
1139C4⋊Q8—471no—
1140C4⋊Q8—471no—
1141C4⋊Q8—471no—
1142C4⋊Q8—941no—
1143C4⋊Q8—941no—
1144C4⋊Q8—941no—
1145C4⋊Q8—941no—
1146C4⋊Q8C22×D4711yescharacteristic
1147#127—471no—
1148#127—471no—
1149#127—471no—
1150#126—21no—
1151#126—21no—
1152#126—471no—
1153#126—471no—
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—471no—
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—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—471no—
1204C22⋊Q8—471no—
1205C22⋊Q8—471no—
1206C22⋊Q8—471no—
1207C22⋊Q8—941no—
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—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—21no—
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×Q8C22×D4711yescharacteristic
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—471no—
1280C4×D4—941no—
1281C4×D4—941no—
1282C4×D4—941no—
1283C4×D4—941no—
1284C4×D4—941no—
1285C4×D4—941no—
1286C4×D4—941no—
1287C4×D4—941no—
1288C4×D4—941no—
1289C4×D4C22×D4711yescharacteristic
1290#117—471no—
1291#117—471no—
1292#117—471no—
1293#117—941no—
1294#117—941no—
1295#117—941no—
1296#117—941no—
1297#117—941no—
1298#117—941no—
1299#117—941no—
1300#117—941no—
1301#117C22×D4711yescharacteristic
1302#117C22×D4711yescharacteristic
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#107C22×D4711yescharacteristic
1314#107C22×D4711yescharacteristic
1315#106—471no—
1316#106C22×D4711yescharacteristic
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#103C22×D4711yescharacteristic
1335#103C22×D4711yescharacteristic
1336#103C22×D4711yescharacteristic
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#102C22×D4711yescharacteristic
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—941no—
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—41no—
1384C2×Q8—41no—
1385C2×Q8—471no—
1386C2×Q8—471no—
1387C2×Q8—471no—
1388C2×Q8—941no—
1389C2×Q8—941no—
1390C2×Q8—941no—
1391C2×Q8—941no—
1392C2×Q8—942no—
1393C2×Q8—941no—
1394C2×Q8—942no—
1395C2×Q8—1881no—
1396C2×Q8—1881no—
1397C2×Q8C23×D4711yescharacteristic
1398C2×Q8C23×D4711yescharacteristic
1399C2×Q8C23×D4711yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—471no—
1403C2×D4—471no—
1404C2×D4—471no—
1405C2×D4—471no—
1406C2×D4—471no—
1407C2×D4—471no—
1408C2×D4—941no—
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—941no—
1424C2×D4—3762no—
1425C2×D4—3762no—
1426C2×D4—1881no—
1427C2×D4—1881no—
1428C2×D4—1881no—
1429C2×D4—1881no—
1430C2×D4—1881no—
1431C2×D4—1881no—
1432C2×D4D4×D4711yescharacteristic
1433C2×D4C23×D4711yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—471no—
1437C22×C4—471no—
1438C22×C4—471no—
1439C22×C4—941no—
1440C22×C4—941no—
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—41no—
1452Q16—41no—
1453Q16—942no—
1454Q16—942no—
1455Q16—1881no—
1456Q16—1881no—
1457SD16—41no—
1458SD16—942no—
1459SD16—942no—
1460SD16—942no—
1461SD16—942no—
1462SD16—1881no—
1463SD16—1881no—
1464SD16—1881no—
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—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⋊C4D4×D4711yescharacteristic
1523C4⋊C4C23×D4711yescharacteristic
1524C4⋊C4C23×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—21no—
1577C42—21no—
1578C42—471no—
1579C42—471no—
1580C42—471no—
1581C42—471no—
1582C42—471no—
1583C42—941no—
1584C42—941no—
1585C42—941no—
1586C42—941no—
1587C42—941no—
1588C42—941no—
1589C42—941no—
1590C42—941no—
1591C42—941no—
1592C42C23×D4711yescharacteristic
1593C23—21no—
1594C23—471no—
1595C23—941no—
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—81no—
1617Q8—81no—
1618Q8—472no—
1619Q8—941no—
1620Q8—941no—
1621Q8—941no—
1622Q8—3761no—
1623Q8—3761no—
1624Q8—3761no—
1625Q8—1881no—
1626Q8—1882no—
1627Q8—1882no—
1628D4—21no—
1629D4—21no—
1630D4—41no—
1631D4—42no—
1632D4—81no—
1633D4—941no—
1634D4—941no—
1635D4—941no—
1636D4—941no—
1637D4—941no—
1638D4—941no—
1639D4—941no—
1640D4—941no—
1641D4—3761no—
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—3761no—
1655D4—1881no—
1656D4—1881no—
1657D4—1882no—
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—21no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—471no—
1673C2×C4—471no—
1674C2×C4—471no—
1675C2×C4—471no—
1676C2×C4—471no—
1677C2×C4—471no—
1678C2×C4—471no—
1679C2×C4—941no—
1680C2×C4—941no—
1681C2×C4—941no—
1682C2×C4—941no—
1683C2×C4—941no—
1684C2×C4—941no—
1685C2×C4—3761no—
1686C2×C4—3761no—
1687C2×C4—3761no—
1688C2×C4—3761no—
1689C2×C4—3761no—
1690C2×C4—3761no—
1691C2×C4—1882no—
1692C2×C4—1882no—
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—941no—
1720C22—941no—
1721C22—941no—
1722C22—1881no—
1723C22—1881no—
1724C22—1881no—
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—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—941no—
1750C4—942no—
1751C4—941no—
1752C4—941no—
1753C4—941no—
1754C4—941no—
1755C4—941no—
1756C4—941no—
1757C4—1881no—
1758C4—1881no—
1759C4—1881no—
1760C4H(5,𝔽2)×D4711yescharacteristic
1761C4#1568995911yescharacteristic
1762C2—41no—
1763C2—41no—
1764C2—81no—
1765C2—3761no—
1766C2—3761no—
1767C2—3761no—
1768C2—3761no—
1769C2—1881no—
1770C2#2025705111yescharacteristic
1771C2#2025816511yescharacteristic
1772C2#2025817311yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3313C2
socleC22×C47C23×D4
hypercenter#3313D47
hypocenterC47#62092
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3313

Complements

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

NH ≅ G/Ntype
1. #20257905C2semidirect
2. #20257398C2semidirect
3. #20256458C2semidirect
4. #20256455C2semidirect
5. #20256201C2semidirect
6. #20256199C2semidirect
7. #20255617C2semidirect
8. #20255613C2semidirect
9. #20255547C2semidirect
10. #20255540C2semidirect
11. #20255455C2semidirect
12. #20255045C2semidirect
13. #20255041C2semidirect
14. #20254896C2semidirect
15. #20254895C2semidirect
16. #20254890C2semidirect
17. #20254888C2semidirect
18. #20254851C2semidirect
19. #20254850C2semidirect
20. #20254770C2semidirect
21. #20254488C2semidirect
22. #20254483C2semidirect
23. #20254390C2semidirect
24. #20253621C2semidirect
25. #20253620C2semidirect
26. #20253534C2semidirect
27. #20252912C2semidirect
28. #20252907C2semidirect
29. #20252885C2semidirect
30. #20252559C2semidirect
31. C47×#3313C2semidirect
32. C2×#13094056C22semidirect
33. C2×#13094055C22semidirect
34. C2×#13094054C22semidirect
36. C22×#10625325C22semidirect
37. C2×SD16×D47C22semidirect
42. #15689853C22semidirect
44. #15689845C22semidirect
45. #15689841C22semidirect
48. #15689836C22semidirect
50. #15689786C22semidirect
52. #15689783C22semidirect
53. #15689782C22semidirect
60. #15689747C22semidirect
62. #15689746C22semidirect
73. #15689675C22semidirect
78. #15689600C22semidirect
79. #15689599C22semidirect
80. #15689591C22semidirect
81. #15689516C22semidirect
82. #15689516C22semidirect
85. #15689508C22semidirect
86. #15689505C22semidirect
87. #15689484C22semidirect
88. #15689484C22semidirect
89. #15689484C22semidirect
92. #15689463C22semidirect
95. #15689447C22semidirect
96. #15689417C22semidirect
97. #15689416C22semidirect
98. #15689416C22semidirect
99. #15689407C22semidirect
100. #15689402C22semidirect
101. #15689402C22semidirect
102. #15689402C22semidirect
103. #15689401C22semidirect
104. #15689400C22semidirect
105. #15689372C22semidirect
107. #15689371C22semidirect
108. #15689371C22semidirect
110. #15689369C22semidirect
111. #15689367C22semidirect
112. #15689363C22semidirect
115. #15689348C22semidirect
116. #15689348C22semidirect
117. #15689348C22semidirect
118. #15689348C22semidirect
119. #15689348C22semidirect
120. #15689348C22semidirect
121. #15689348C22semidirect
122. #15689348C22semidirect
123. #15689347C22semidirect
124. #15689347C22semidirect
125. #15689347C22semidirect
126. #15689345C22semidirect
127. #15689342C22semidirect
128. #15689341C22semidirect
129. #15689341C22semidirect
130. #15689341C22semidirect
131. #15689341C22semidirect
132. #15689341C22semidirect
133. #15689339C22semidirect
134. #15689327C22semidirect
135. #15689326C22semidirect
140. #15689322C22semidirect
141. #15689322C22semidirect
142. #15689321C22semidirect
143. #15689317C22semidirect
144. #15689288C22semidirect
145. #15689279C22semidirect
146. #15689278C22semidirect
147. #15689277C22semidirect
149. #15689275C22semidirect
151. #15689273C22semidirect
152. #15689271C22semidirect
153. #15689270C22semidirect
154. #15689268C22semidirect
155. #15689266C22semidirect
158. #15689259C22semidirect
159. #15689258C22semidirect
160. #15689251C22semidirect
161. #15689250C22semidirect
162. #15689234C22semidirect
163. #15689232C22semidirect
164. #15689227C22semidirect
165. #15689225C22semidirect
166. #15689222C22semidirect
167. #15689222C22semidirect
168. #15689220C22semidirect
169. C4×#10625337C22semidirect
170. #15689215C22semidirect
171. C4×#10625336C22semidirect
172. #15689210C22semidirect
173. #15689201C22semidirect
174. #15689198C22semidirect
175. #15689197C22semidirect
176. #15689194C22semidirect
177. #15689192C22semidirect
178. #15689185C22semidirect
179. #15689181C22semidirect
180. #15689177C22semidirect
181. #15689149C22semidirect
182. #15689148C22semidirect
183. #15689146C22semidirect
185. #15689127C22semidirect
186. #15689126C22semidirect
187. #15689118C22semidirect
188. C47×#556C22semidirect
190. C47×#489C22semidirect
191. C47×#485C22semidirect
192. C47×#482C22semidirect
193. C47×#477C22semidirect
194. C47×#468C22semidirect
195. C47×#467C22semidirect
196. C47×#464C22semidirect
197. C47×#452C22semidirect
198. C47×#451C22semidirect
199. C47×#441C22semidirect
200. C47×#435C22semidirect
201. C47×#419C22semidirect
202. C47×#416C22semidirect
887. #3313D47semidirect
934. #556C2×D47semidirect
978. #489C2×D47semidirect
982. #485C2×D47semidirect
986. #482C2×D47semidirect
990. #477C2×D47semidirect
1004. #468C2×D47semidirect
1006. #467C2×D47semidirect
1022. #464C2×D47semidirect
1040. #452C2×D47semidirect
1044. #451C2×D47semidirect
1062. #441C2×D47semidirect
1076. #435C2×D47semidirect
1083. #419C2×D47semidirect
1088. #416C2×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
#202573982
#202564582
#202564552
#202562012
#202561992
#202556172
#202556132
#202555472
#202555402
#202554552
#202550452
#202550412
#202548962
#202548952
#202548902
#202548882
#202548512
#202548502
#202547702
#202544882
#202544832
#202543902
#202536212
#202536202
#202535342
#202529122
#202529072
#202528852
#202525592
C47×#33132
#6209247