Finite Group Databasebeta

← #27093718

Subgroups — #27093718

Order 12032.

2102 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257096C211yesmaximal, characteristic, complemented
2#20257027C211yesmaximal, characteristic, complemented
3#20255699C211yesmaximal, characteristic, complemented
4#20255692C211yesmaximal, characteristic, complemented
5#20255689C211yesmaximal, characteristic, complemented
6#20255610C211yesmaximal, characteristic, complemented
7#20255609C211yesmaximal, characteristic, complemented
8#20255591C211yesmaximal, characteristic, complemented
9#20255590C211yesmaximal, characteristic, complemented
10#20255491C211yesmaximal, characteristic, complemented
11#20255488C211yesmaximal, characteristic, complemented
12#20255463C211yesmaximal, characteristic, complemented
13#20255462C211yesmaximal, characteristic, complemented
14#20255367C211yesmaximal, characteristic, complemented
15#20255364C211yesmaximal, characteristic, complemented
16#20255347C211yesmaximal, characteristic, complemented
17#20255346C211yesmaximal, characteristic, complemented
18#20253748C211yesmaximal, characteristic, complemented
19#20253350C211yesmaximal, characteristic, complemented
20#20253312C211yesmaximal, characteristic, complemented
21#20253214C211yesmaximal, characteristic, complemented
22#20253076C211yesmaximal, characteristic, complemented
23#20252999C211yesmaximal, characteristic, complemented
24#20252935C211yesmaximal, characteristic, complemented
25#20252696C211yesmaximal, characteristic, complemented
26#20252631C211yesmaximal, characteristic, complemented
27#20252215C211yesmaximal, characteristic, complemented
28#20252088C211yesmaximal, characteristic, complemented
29#20251912C211yesmaximal, characteristic, complemented
30#417×D47C211yesmaximal, characteristic, complemented
31C47×#3331C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic
33C2×#41×D47C2211yescharacteristic
34C2×#13094056C2211yescharacteristic, complemented
35C2×#13094051C2211yescharacteristic
36C2×#13094047C2211yescharacteristic
37C2×#13094032C2211yescharacteristic
38C2×M16×D47C2211yescharacteristic, complemented
39#15689831C2211yescharacteristic, complemented
40#15689827—21no—
41#15689822—21no—
42#15689821C2211yescharacteristic, complemented
43#15689819C2211yescharacteristic, complemented
44#15689814C2211yescharacteristic, complemented
45#15689807C2211yescharacteristic, complemented
46#15689805—21no—
47#15689776C2211yescharacteristic
48#15689776C2211yescharacteristic, complemented
49#15689775—21no—
50#15689775C2211yescharacteristic
51#15689774—21no—
52#15689774C2211yescharacteristic, complemented
53#15689772C2211yescharacteristic
54#15689771—21no—
55#15689769C2211yescharacteristic
56#15689768C2211yescharacteristic
57#15689765—21no—
58#15689764C2211yescharacteristic
59#15689762—21no—
60#15689761C2211yescharacteristic
61#15689750C2211yescharacteristic, complemented
62#15689721—21no—
63#15689719—21no—
64#15689703C2211yescharacteristic
65#15689698C2211yescharacteristic
66#15689696C2211yescharacteristic
67#15689684—21no—
68#15689681—21no—
69#15689636—21no—
70#15689636C2211yescharacteristic
71#15689636C2211yescharacteristic, complemented
72#15689632—21no—
73#15689632C2211yescharacteristic
74C2×#13094009—21no—
75#123×D47—21no—
76#15689605C2211yescharacteristic, complemented
77#15689604C2211yescharacteristic
78#15689595C2211yescharacteristic
79C2×C4⋊C4×D47C2211yescharacteristic, complemented
80#15689491C2211yescharacteristic, complemented
81#15689490C2211yescharacteristic, complemented
82#15689485C2211yescharacteristic, complemented
83#15689484C2211yescharacteristic, complemented
84#15689479C2211yescharacteristic, complemented
85#15689478C2211yescharacteristic, complemented
86#15689472C2211yescharacteristic, complemented
87#15689467C2211yescharacteristic, complemented
88#15689465C2211yescharacteristic, complemented
89#15689462C2211yescharacteristic, complemented
90#15689461C2211yescharacteristic, complemented
91#15689458C2211yescharacteristic, complemented
92#15689457C2211yescharacteristic, complemented
93#15689457C2211yescharacteristic, complemented
94#15689457C2211yescharacteristic, complemented
95#15689455C2211yescharacteristic, complemented
96#15689451C2211yescharacteristic, complemented
97#15689443C2211yescharacteristic, complemented
98#15689443C2211yescharacteristic, complemented
99#15689437C2211yescharacteristic, complemented
100#15689436C2211yescharacteristic, complemented
101#15689425C2211yescharacteristic, complemented
102#15689424C2211yescharacteristic, complemented
103#15689423C2211yescharacteristic, complemented
104#15689422C2211yescharacteristic, complemented
105#15689412C2211yescharacteristic, complemented
106#15689401C2211yescharacteristic, complemented
107#15689400C2211yescharacteristic, complemented
108#15689380C2211yescharacteristic, complemented
109#15689378C2211yescharacteristic, complemented
110#15689377C2211yescharacteristic, complemented
111#15689376C2211yescharacteristic, complemented
112#15689372C2211yescharacteristic, complemented
113#15689372C2211yescharacteristic, complemented
114#15689372C2211yescharacteristic, complemented
115#15689371C2211yescharacteristic, complemented
116#15689371C2211yescharacteristic, complemented
117#15689369C2211yescharacteristic, complemented
118#15689362C2211yescharacteristic, complemented
119#15689361C2211yescharacteristic, complemented
120#15689354C2211yescharacteristic, complemented
121#15689353C2211yescharacteristic, complemented
122#15689347C2211yescharacteristic, complemented
123#15689345C2211yescharacteristic, complemented
124#15689341C2211yescharacteristic, complemented
125#15689339C2211yescharacteristic, complemented
126#15689331C2211yescharacteristic, complemented
127#15689327C2211yescharacteristic, complemented
128#15689325C2211yescharacteristic, complemented
129#15689284C2211yescharacteristic, complemented
130#15689284C2211yescharacteristic, complemented
131#15689283C2211yescharacteristic, complemented
132#15689282C2211yescharacteristic, complemented
133#15689273C2211yescharacteristic, complemented
134#15689272C2211yescharacteristic, complemented
135#15689271C2211yescharacteristic, complemented
136#15689271C2211yescharacteristic, complemented
137#15689270C2211yescharacteristic, complemented
138#15689269C2211yescharacteristic, complemented
139#15689268C2211yescharacteristic, complemented
140#15689268C2211yescharacteristic, complemented
141#15689259C2211yescharacteristic, complemented
142#15689258C2211yescharacteristic, complemented
143#15689234C2211yescharacteristic, complemented
144#15689233C2211yescharacteristic, complemented
145#15689224C2211yescharacteristic, complemented
146#15689221C2211yescharacteristic, complemented
147#15689208C2211yescharacteristic, complemented
148C4×D376C2211yescharacteristic, complemented
149#15689203C2211yescharacteristic, complemented
150#15689202C2211yescharacteristic, complemented
151#15689199C2211yescharacteristic, complemented
152#15689199C2211yescharacteristic, complemented
153#15689197C2211yescharacteristic, complemented
154#15689195C2211yescharacteristic, complemented
155#15689193C2211yescharacteristic, complemented
156#15689191C2211yescharacteristic, complemented
157#15689162C2211yescharacteristic, complemented
158#15689162C2211yescharacteristic, complemented
159#15689158C2211yescharacteristic, complemented
160#15689148C2211yescharacteristic, complemented
161#15689130C2211yescharacteristic, complemented
162#15689129C2211yescharacteristic, complemented
163#15689126C2211yescharacteristic
164#15689126C2211yescharacteristic, complemented
165#15689125C2211yescharacteristic, complemented
166#15689124C2211yescharacteristic, complemented
167#15689123C2211yescharacteristic
168#15689123C2211yescharacteristic
169#15689123C2211yescharacteristic, complemented
170#15689123C2211yescharacteristic, complemented
171#15689123C2211yescharacteristic, complemented
172#15689122C2211yescharacteristic, complemented
173#15689121C2211yescharacteristic, complemented
174#15689121C2211yescharacteristic, complemented
175#15689119C2211yescharacteristic, complemented
176#15689118C2211yescharacteristic
177#15689118C2211yescharacteristic, complemented
178#15689118C2211yescharacteristic, complemented
179#103×D47C2211yescharacteristic, complemented
180#103×D47C2211yescharacteristic, complemented
181C2×#13093944C2211yescharacteristic, complemented
182#102×D47C2211yescharacteristic
183#102×D47C2211yescharacteristic
184#102×D47C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic
186#15689085C2211yescharacteristic, complemented
187#15689077C2211yescharacteristic, complemented
188C47×#554C2211yescharacteristic, complemented
189C47×#547C2211yescharacteristic
190C47×#487C2211yescharacteristic, complemented
191C47×#483C2211yescharacteristic, complemented
192C47×#483C2211yescharacteristic, complemented
193C47×#476C2211yescharacteristic, complemented
194C47×#470C2211yescharacteristic, complemented
195C47×#470C2211yescharacteristic, complemented
196C47×#462C2211yescharacteristic, complemented
197C47×#452C2211yescharacteristic, complemented
198C47×#452C2211yescharacteristic, complemented
199C4×SD16×C47C2211yescharacteristic, complemented
200C47×#436C2211yescharacteristic, complemented
201C47×#417C2211yescharacteristic, complemented
202C47×#417C2211yescharacteristic, complemented
203#13094070—24no—
204#13094070—42no—
205C2×#10625354—21no—
206C2×#10625354C2311yescharacteristic
207C2×#10625354C2311yescharacteristic
208C2×#10625354C2311yescharacteristic
209C2×#10625354C2311yescharacteristic
210C2×#10625350—21no—
211C2×#10625350—21no—
212C2×#10625350—21no—
213C2×#10625350C2311yescharacteristic
214C2×#10625350C2311yescharacteristic
215C2×#10625352—21no—
216C2×#10625352C2311yescharacteristic
217#41×D47—24no—
218#41×D47—42no—
219C2×Q8×D47C2311yescharacteristic
220C22×D188—21no—
221C22×D188C2311yescharacteristic
222C2×D4×D47—21no—
223C2×D4×D47—21no—
224C2×D4×D47—21no—
225C2×D4×D47C2311yescharacteristic
226C2×D4×D47C2311yescharacteristic
227C22×C4×D47—21no—
228C22×C4×D47—21no—
229C22×C4×D47C2311yescharacteristic
230#13094056—42no—
231#13094051—24no—
232#13094047—42no—
233C2×#10625337C2311yescharacteristic
234C2×#10625325C2311yescharacteristic
235C2×#10625336C2311yescharacteristic
236C2×#10625336C2311yescharacteristic
237C2×#10625336C2311yescharacteristic
238C2×#10625336C2311yescharacteristic
239C2×D376C2311yescharacteristic
240C2×D376C2311yescharacteristic
241C2×#10625334C2311yescharacteristic
242#13094032—42no—
243C2×#10625329C2311yescharacteristic
244C2×#10625324C2311yescharacteristic
245C2×#10625324C2311yescharacteristic
246C2×#10625324C2311yescharacteristic
247C2×#10625324C2311yescharacteristic
248C2×#10625324C2311yescharacteristic
249M16×D47—42no—
250C22×C47⋊C8C2311yescharacteristic
251C2×C8×D47C2311yescharacteristic
252C2×C8×D47C2311yescharacteristic
253C2×C8×D47C2311yescharacteristic
254#13094023—21no—
255#13094023C2311yescharacteristic
256#13094022—21no—
257#13094022C2311yescharacteristic
258#13094019—21no—
259#13094019—21no—
260#13094018—21no—
261#13094017—21no—
262#13094016C2311yescharacteristic
263#13094015C2311yescharacteristic
264#13094014—21no—
265#13094014—21no—
266#13094014—21no—
267#13094014—21no—
268#13094013C2311yescharacteristic
269#13094012C2311yescharacteristic
270#13094010—21no—
271#13094009—21no—
272#13094009—21no—
273#13094009—21no—
274#13094009—21no—
275#13094009—21no—
276#13094009—21no—
277#13094009—21no—
278#13094009—21no—
279#13094009—21no—
280#13094009—21no—
281#13094009—21no—
282#13094009—21no—
283#13094009—21no—
284#13094009—21no—
285#13094009—21no—
286#13094009D411yescharacteristic
287#13094008—21no—
288#13094007—21no—
289#13094007—21no—
290#13094007—21no—
291#13094006—21no—
292#13094006—21no—
293#13094006—21no—
294#13094006—21no—
295#13094006D411yescharacteristic
296#13094005—21no—
297#13094004—21no—
298#13094004C2311yescharacteristic
299#13094003C2311yescharacteristic
300#13094002—21no—
301#13094002—21no—
302#13094002—21no—
303#13094002—21no—
304#13094002—21no—
305#13094002D411yescharacteristic
306#13094001—21no—
307#13094001D411yescharacteristic
308#13094000—21no—
309#13094000—21no—
310#13094000C2311yescharacteristic
311#13094000C2311yescharacteristic
312#13094000C2311yescharacteristic
313#13094000C2311yescharacteristic
314#13093999—21no—
315#13093999—21no—
316#13093999—21no—
317#13093999C2311yescharacteristic
318#13093999C2311yescharacteristic
319#13093999C2311yescharacteristic
320#13093998—21no—
321#13093998—21no—
322#13093998C2311yescharacteristic
323#13093998C2311yescharacteristic
324#13093998C2311yescharacteristic
325#13093997—21no—
326#13093997—21no—
327#13093997—21no—
328#13093997—21no—
329#13093997D411yescharacteristic
330#13093996—21no—
331#13093996—21no—
332#13093996—21no—
333#13093996D411yescharacteristic
334#13093994—21no—
335#13093994—21no—
336#13093994—21no—
337#13093994—21no—
338#13093994D411yescharacteristic
339#13093992—21no—
340#13093992—21no—
341#13093992D411yescharacteristic
342Q8×Dic47C2311yescharacteristic
343#13093989—21no—
344C4×D188—21no—
345C4×D188C2311yescharacteristic
346C4×D188C2311yescharacteristic
347C4×D188C2311yescharacteristic
348D4×Dic47C2311yescharacteristic
349#13093986—21no—
350#13093986—21no—
351#13093986—21no—
352#13093986—21no—
353#13093986C2311yescharacteristic
354#13093986C2311yescharacteristic
355C4×C22⋊D47—21no—
356C4×C22⋊D47—21no—
357C4×C22⋊D47—21no—
358C4×C22⋊D47—21no—
359C4×C22⋊D47C2311yescharacteristic
360C4×C22⋊D47C2311yescharacteristic
361(C22⋊D47)⋊C4—21no—
362(C22⋊D47)⋊C4—21no—
363(C22⋊D47)⋊C4—21no—
364(C22⋊D47)⋊C4—21no—
365(C22⋊D47)⋊C4—21no—
366#13093983C2311yescharacteristic
367#13093982—21no—
368#13093982C2311yescharacteristic
369#13093982C2311yescharacteristic
370#13093982C2311yescharacteristic
371#13093981—21no—
372#13093981—21no—
373#13093981C2311yescharacteristic
374C2×C4⋊Dic47C2311yescharacteristic
375C2×Dic47⋊C4—21no—
376C2×Dic47⋊C4—21no—
377C4⋊C4×D47—21no—
378C4⋊C4×D47—21no—
379C4⋊C4×D47—21no—
380C4⋊C4×D47—21no—
381C4⋊C4×D47—21no—
382C4⋊C4×D47C2311yescharacteristic
383C4⋊C4×D47C2311yescharacteristic
384C4⋊C4×D47C2311yescharacteristic
385C4⋊C4×D47C2311yescharacteristic
386C4⋊C4×D47C2311yescharacteristic
387C2×(C2×D47)⋊C4—21no—
388C2×(C2×D47)⋊C4—21no—
389C2×(C2×D47)⋊C4—21no—
390C22⋊C4×D47—21no—
391C22⋊C4×D47—21no—
392C22⋊C4×D47—21no—
393#13093958C2311yescharacteristic
394#13093958C2311yescharacteristic
395#13093957C2311yescharacteristic
396#13093957C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093956C2311yescharacteristic
400#13093955C2311yescharacteristic
401#13093955C2311yescharacteristic
402C4⋊(C47⋊C8)C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405#13093949C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093948C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093944C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432#13093944C2311yescharacteristic
433#13093944C2311yescharacteristic
434#13093944C2311yescharacteristic
435C22⋊(C47⋊C8)C2311yescharacteristic
436C22⋊(C47⋊C8)C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441#13093935C2311yescharacteristic
442#13093934C2311yescharacteristic
443C8×Dic47C2311yescharacteristic
444C2×#41×C47C2311yescharacteristic
445C2×#41×C47C2311yescharacteristic
446C2×Q16×C47C2311yescharacteristic
447C2×Q16×C47C2311yescharacteristic
448C2×SD16×C47C2311yescharacteristic
449C2×M16×C47C2311yescharacteristic
450C2×M16×C47C2311yescharacteristic
451C4⋊Q8×C47C2311yescharacteristic
452C4⋊Q8×C47C2311yescharacteristic
453#125×C47—21no—
454#123×C47—21no—
455#123×C47—21no—
456C22⋊Q8×C47—21no—
457C22⋊Q8×C47—21no—
458C22⋊Q8×C47C2311yescharacteristic
459C22⋊Q8×C47C2311yescharacteristic
460C22⋊Q8×C47C2311yescharacteristic
461C22⋊Q8×C47C2311yescharacteristic
462#121×C47—21no—
463C4×Q8×C47C2311yescharacteristic
464C4×D4×C47—21no—
465C4×D4×C47C2311yescharacteristic
466C4×D4×C47C2311yescharacteristic
467C2×C4⋊C4×C47—21no—
468C2×C4⋊C4×C47C2311yescharacteristic
469C2×C4⋊C4×C47C2311yescharacteristic
470#106×C47C2311yescharacteristic
471#106×C47C2311yescharacteristic
472#106×C47C2311yescharacteristic
473C4⋊C8×C47C2311yescharacteristic
474#103×C47C2311yescharacteristic
475#103×C47C2311yescharacteristic
476#103×C47C2311yescharacteristic
477#103×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#103×C47C2311yescharacteristic
481#102×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484C22⋊C8×C47C2311yescharacteristic
485C22⋊C8×C47C2311yescharacteristic
486C4×C8×C47C2311yescharacteristic
487C23×D47—21no—
488C23×D47—21no—
489C23×D47—21no—
490C23×D47C2×D411yescharacteristic
491#41×C47—22no—
492#41×C47—22no—
493#41×C47—41no—
494#41×C47—41no—
495C2×Q8×C47—21no—
496C2×Q8×C47C2411yescharacteristic
497C2×Q8×C47C2411yescharacteristic
498C2×Q8×C47C2411yescharacteristic
499C2×D4×C47—21no—
500C2×D4×C47—21no—
501C2×D4×C47C2×D411yescharacteristic
502C2×D4×C47C2411yescharacteristic
503C22×C4×C47—21no—
504C22×C4×C47—21no—
505C22×C4×C47—21no—
506C22×C4×C47—21no—
507C22×C4×C47—21no—
508C22×C4×C47C2411yescharacteristic
509C22×C4×C47C2411yescharacteristic
510C2×C22⋊D47—21no—
511C2×C22⋊D47—21no—
512C2×C22⋊D47—21no—
513C2×C22⋊D47—21no—
514C2×C22⋊D47—21no—
515C2×C22⋊D47—21no—
516C2×C22⋊D47—21no—
517C2×C22⋊D47C2×D411yescharacteristic
518C2×C22⋊D47C2×D411yescharacteristic
519C2×C22⋊D47C2×D411yescharacteristic
520C2×C22⋊D47C2×D411yescharacteristic
521C22×Dic47—21no—
522C22×Dic47—21no—
523C22×Dic47—21no—
524C22×Dic47C2×D411yescharacteristic
525#10625354—22no—
526#10625354—22no—
527#10625354—22no—
528#10625354—22no—
529#10625354—22no—
530#10625354—22no—
531#10625354—41no—
532#10625354—41no—
533#10625354—82no—
534Q8×D47—22no—
535Q8×D47—22no—
536#10625352—22no—
537#10625352—41no—
538#10625352—44no—
539D4×D47—22no—
540D4×D47—22no—
541D4×D47—41no—
542D4×D47—44no—
543D4×D47—44no—
544D4×D47—44no—
545D4×D47#4114yescomplemented
546#10625350—22no—
547#10625350—22no—
548#10625350—22no—
549#10625350—41no—
550#10625350—44no—
551#10625350—44no—
552#10625350—82no—
553C2×D188—22no—
554C2×D188—21no—
555C2×D188—21no—
556C2×D188—21no—
557C2×D188—21no—
558C2×D188—21no—
559C2×D188—21no—
560C2×D188—21no—
561C2×D188—21no—
562C2×D188—41no—
563C2×D188—44no—
564C2×D188C2×D411yescharacteristic
565C2×D188C2×D411yescharacteristic
566C2×D188C2411yescharacteristic
567C2×D188C2411yescharacteristic
568C2×D188C2411yescharacteristic
569C2×C4×D47—22no—
570C2×C4×D47—22no—
571C2×C4×D47—21no—
572C2×C4×D47—21no—
573C2×C4×D47—21no—
574C2×C4×D47—21no—
575C2×C4×D47—21no—
576C2×C4×D47—21no—
577C2×C4×D47—21no—
578C2×C4×D47—21no—
579C2×C4×D47—21no—
580C2×C4×D47—21no—
581C2×C4×D47—21no—
582C2×C4×D47—21no—
583C2×C4×D47—21no—
584C2×C4×D47—21no—
585C2×C4×D47—21no—
586C2×C4×D47—44no—
587C2×C4×D47—82no—
588C2×C4×D47C2×D411yescharacteristic
589C2×C4×D47C2×D411yescharacteristic
590C2×C4×D47C2411yescharacteristic
591C2×C4×D47C2411yescharacteristic
592C2×C4×D47C2411yescharacteristic
593C2×Dic94—21no—
594C2×Dic94—21no—
595C2×Dic94C2×D411yescharacteristic
596C2×Dic94C2411yescharacteristic
597Q16×C47—41no—
598Q16×C47—41no—
599SD16×C47—22no—
600M16×C47—41no—
601M16×C47—41no—
602C2×C8×C47C2411yescharacteristic
603C2×C8×C47C2411yescharacteristic
604C2×C8×C47C2411yescharacteristic
605C2×C8×C47C2411yescharacteristic
606C4⋊C4×C47—21no—
607C4⋊C4×C47—21no—
608C4⋊C4×C47—21no—
609C4⋊C4×C47—21no—
610C4⋊C4×C47—21no—
611C4⋊C4×C47—21no—
612C4⋊C4×C47—21no—
613C4⋊C4×C47—21no—
614C4⋊C4×C47—21no—
615C4⋊C4×C47—21no—
616C4⋊C4×C47C2×D411yescharacteristic
617C4⋊C4×C47C2411yescharacteristic
618C4⋊C4×C47C2411yescharacteristic
619C4⋊C4×C47C2411yescharacteristic
620C4⋊C4×C47C2411yescharacteristic
621C22⋊C4×C47—21no—
622C22⋊C4×C47—21no—
623C22⋊C4×C47—21no—
624C22⋊C4×C47—21no—
625C22⋊C4×C47—21no—
626C22⋊C4×C47C2×D411yescharacteristic
627C22⋊C4×C47C2×D411yescharacteristic
628C42×C47—21no—
629C42×C47C2411yescharacteristic
630C22⋊Dic47—21no—
631C22⋊Dic47—21no—
632C22⋊Dic47—21no—
633C22⋊Dic47C2×D411yescharacteristic
634C22⋊Dic47C2×D411yescharacteristic
635#10625337—41no—
636#10625336—22no—
637#10625336—41no—
638#10625336—41no—
639#10625336—41no—
640#10625334—22no—
641(C2×D47)⋊C4—21no—
642(C2×D47)⋊C4—21no—
643(C2×D47)⋊C4—21no—
644(C2×D47)⋊C4—21no—
645(C2×D47)⋊C4—21no—
646(C2×D47)⋊C4—21no—
647(C2×D47)⋊C4—21no—
648(C2×D47)⋊C4—21no—
649(C2×D47)⋊C4—21no—
650(C2×D47)⋊C4—21no—
651(C2×D47)⋊C4—21no—
652(C2×D47)⋊C4—21no—
653(C2×D47)⋊C4—21no—
654(C2×D47)⋊C4—21no—
655(C2×D47)⋊C4—21no—
656(C2×D47)⋊C4—21no—
657(C2×D47)⋊C4—21no—
658(C2×D47)⋊C4—21no—
659(C2×D47)⋊C4—21no—
660(C2×D47)⋊C4—21no—
661(C2×D47)⋊C4—21no—
662(C2×D47)⋊C4—21no—
663(C2×D47)⋊C4C2×D411yescharacteristic
664(C2×D47)⋊C4C2×D411yescharacteristic
665(C2×D47)⋊C4C2×D411yescharacteristic
666(C2×D47)⋊C4C2×D411yescharacteristic
667(C2×D47)⋊C4C2×D411yescharacteristic
668(C2×D47)⋊C4C2×D411yescharacteristic
669C4⋊Dic47—21no—
670C4⋊Dic47—21no—
671C4⋊Dic47—21no—
672C4⋊Dic47—21no—
673C4⋊Dic47C2×D411yescharacteristic
674C4⋊Dic47C2411yescharacteristic
675C4⋊Dic47C2411yescharacteristic
676C4⋊Dic47C2411yescharacteristic
677C4⋊Dic47C2411yescharacteristic
678Dic47⋊C4—21no—
679Dic47⋊C4—21no—
680Dic47⋊C4—21no—
681Dic47⋊C4—21no—
682Dic47⋊C4—21no—
683Dic47⋊C4—21no—
684Dic47⋊C4—21no—
685Dic47⋊C4—21no—
686Dic47⋊C4—21no—
687Dic47⋊C4—21no—
688Dic47⋊C4—21no—
689Dic47⋊C4—21no—
690Dic47⋊C4—21no—
691Dic47⋊C4—21no—
692Dic47⋊C4—21no—
693Dic47⋊C4—21no—
694Dic47⋊C4C2×D411yescharacteristic
695Dic47⋊C4C2×D411yescharacteristic
696Dic47⋊C4C2×D411yescharacteristic
697Dic47⋊C4C2×D411yescharacteristic
698C4×Dic47—21no—
699C4×Dic47—21no—
700C4×Dic47—21no—
701C4×Dic47—21no—
702C4×Dic47—21no—
703C4×Dic47C2411yescharacteristic
704#10625329—41no—
705C2×C47⋊C8—41no—
706C2×C47⋊C8C2411yescharacteristic
707C2×C47⋊C8C2411yescharacteristic
708C2×C47⋊C8C2411yescharacteristic
709C2×C47⋊C8C2411yescharacteristic
710D376—22no—
711D376—41no—
712#10625325—41no—
713#10625324—22no—
714#10625324—22no—
715#10625324—41no—
716#10625324—41no—
717#10625324—41no—
718C8×D47—22no—
719C8×D47—22no—
720C8×D47—41no—
721C23×C47—21no—
722C23×C47C22×D411yescharacteristic
723C23×C47C22×D411yescharacteristic
724C22×D47—21no—
725C22×D47—22no—
726C22×D47—24no—
727C22×D47—21no—
728C22×D47—21no—
729C22×D47—41no—
730C22×D47—41no—
731C22×D47—42no—
732C22×D47—42no—
733C22×D47—81no—
734C22×D47—81no—
735C22×D47—81no—
736C22×D47—81no—
737C22×D47—81no—
738C22×D47—81no—
739C22×D47C22×D411yescharacteristic
740C22×D47C22×D411yescharacteristic
741C22×D47C22×D411yescharacteristic
742Q8×C47—21no—
743Q8×C47—21no—
744Q8×C47—21no—
745Q8×C47—21no—
746Q8×C47—21no—
747Q8×C47—21no—
748Q8×C47—81no—
749D4×C47—21no—
750D4×C47—41no—
751D4×C47—42no—
752D4×C47—42no—
753D4×C47C2×#4112yes—
754C2×C4×C47—21no—
755C2×C4×C47—21no—
756C2×C4×C47—21no—
757C2×C4×C47—21no—
758C2×C4×C47—21no—
759C2×C4×C47—21no—
760C2×C4×C47—21no—
761C2×C4×C47—21no—
762C2×C4×C47—21no—
763C2×C4×C47—21no—
764C2×C4×C47—21no—
765C2×C4×C47—42no—
766C2×C4×C47—42no—
767C2×C4×C47—81no—
768C2×C4×C47—81no—
769C2×C4×C47—81no—
770C2×C4×C47C22×D411yescharacteristic
771C2×C4×C47C22×D411yescharacteristic
772C2×C4×C47C22×D411yescharacteristic
773C2×C4×C47C22×D411yescharacteristic
774C2×C4×C47C2511yescharacteristic
775C22⋊D47—22no—
776C22⋊D47—22no—
777C22⋊D47—24no—
778C22⋊D47—41no—
779C22⋊D47—41no—
780C22⋊D47—42no—
781C22⋊D47—42no—
782C22⋊D47—42no—
783C22⋊D47—42no—
784C22⋊D47—81no—
785C22⋊D47—81no—
786C2×Dic47—22no—
787C2×Dic47—21no—
788C2×Dic47—21no—
789C2×Dic47—21no—
790C2×Dic47—21no—
791C2×Dic47—21no—
792C2×Dic47—42no—
793C2×Dic47—81no—
794C2×Dic47—81no—
795C2×Dic47C22×D411yescharacteristic
796C2×Dic47C22×D411yescharacteristic
797C2×Dic47C22×D411yescharacteristic
798C2×Dic47C22×D411yescharacteristic
799C2×Dic47C22×D411yescharacteristic
800D188—22no—
801D188—21no—
802D188—21no—
803D188—21no—
804D188—21no—
805D188—21no—
806D188—41no—
807D188—42no—
808D188—42no—
809D188—42no—
810D188—42no—
811D188—42no—
812D188—42no—
813D188—81no—
814D188—81no—
815D188C2×#4112yes—
816C4×D47—22no—
817C4×D47—21no—
818C4×D47—21no—
819C4×D47—21no—
820C4×D47—21no—
821C4×D47—22no—
822C4×D47—42no—
823C4×D47—42no—
824C4×D47—42no—
825C4×D47—42no—
826C4×D47—42no—
827C4×D47—42no—
828C4×D47—42no—
829C4×D47—42no—
830C4×D47—81no—
831C4×D47—81no—
832C4×D47—81no—
833C4×D47—81no—
834C4×D47—81no—
835C4×D47—81no—
836C4×D47—81no—
837C4×D47C2×#4112yes—
838C4×D47H(5,𝔽2)12yes—
839Dic94—22no—
840Dic94—21no—
841Dic94—21no—
842Dic94—42no—
843Dic94—81no—
844C8×C47—21no—
845C8×C47—21no—
846C8×C47—21no—
847C8×C47—21no—
848C47⋊C8—21no—
849C47⋊C8—21no—
850C47⋊C8—21no—
851C47⋊C8—21no—
852#61177—471nomaximal, Sylow
853C22×C47—21no—
854C22×C47—21no—
855C22×C47—21no—
856C22×C47—21no—
857C22×C47—21no—
858C22×C47—22no—
859C22×C47—21no—
860C22×C47—41no—
861C22×C47—41no—
862C22×C47C23×D411yescharacteristic
863C2×D47—21no—
864C2×D47—21no—
865C2×D47—21no—
866C2×D47—21no—
867C2×D47—21no—
868C2×D47—21no—
869C2×D47—21no—
870C2×D47—21no—
871C2×D47—22no—
872C2×D47—44no—
873C2×D47—41no—
874C2×D47—41no—
875C2×D47—41no—
876C2×D47—41no—
877C2×D47—41no—
878C2×D47—41no—
879C2×D47—41no—
880C2×D47—41no—
881C2×D47—84no—
882C2×D47—162no—
883C2×D47—162no—
884C2×D47#54612yes—
885C4×C47—21no—
886C4×C47—21no—
887C4×C47—21no—
888C4×C47—21no—
889C4×C47—41no—
890C4×C47—41no—
891C4×C47—41no—
892C4×C47—41no—
893C4×C47—41no—
894C4×C47—41no—
895C4×C47—41no—
896C4×C47C22×#4111yescharacteristic
897C4×C47C2×H(5,𝔽2)11yescharacteristic
898Dic47—21no—
899Dic47—21no—
900Dic47—21no—
901Dic47—21no—
902Dic47—41no—
903Dic47—41no—
904Dic47—41no—
905Dic47—41no—
906Dic47—41no—
907Dic47#54612yes—
908#3492—471no—
909#3485—471no—
910#3331—471no—
911#3331D4711yescharacteristic, complemented
912#3330—471no—
913#3330—471no—
914#3323—471no—
915#3323—471no—
916#3322—471no—
917#3322—471no—
918#3315—471no—
919#3315—471no—
920#3314—471no—
921#3314—471no—
922#3307—471no—
923#3307—471no—
924#3306—471no—
925#3306—471no—
926#3137—471no—
927#3097—471no—
928#3092—471no—
929#3081—471no—
930#3063—471no—
931#3054—471no—
932#3046—471no—
933#3012—471no—
934#3005—471no—
935#2946—471no—
936#2930—471no—
937#2897—471no—
938C2×#417—471no—
939C2×C47—41no—
940C2×C47—42no—
941C2×C47—41no—
942C2×C47C2×#54611yescharacteristic
943C2×C47#358511yescharacteristic
944C2×C47#358611yescharacteristic
945D47—22no—
946D47—41no—
947D47—41no—
948D47—42no—
949D47—81no—
950D47—81no—
951C2×H(5,𝔽2)—471no—
952C22×#41—471no—
953C2×#137—471no—
954C2×AGL(1,ℤ/8)—471no—
955C2×#135—471no—
956C2×#131—471no—
957C22×M16—471no—
958#554—471no—
959#554—941no—
960#554C2×D4711yescharacteristic, complemented
961#553—471no—
962#553—471no—
963#553—941no—
964#552—471no—
965#552—471no—
966#552—941no—
967#547—471no—
968#547—471no—
969#547—471no—
970#547—471no—
971#547—471no—
972#547—941no—
973#547—941no—
974#547—941no—
975#547C2×D4711yescharacteristic
976#546—471no—
977#546—471no—
978#546—471no—
979#546—471no—
980#546—941no—
981#546—941no—
982#544—471no—
983#539—941no—
984#539—941no—
985#537—471no—
986#536—471no—
987#536—471no—
988#534—941no—
989#534—941no—
990#525—471no—
991#525—471no—
992#525—471no—
993#525—941no—
994#525—941no—
995C2×#123—941no—
996C2×#123—941no—
997#520—471no—
998#520—471no—
999#518—471no—
1000C22×C4⋊C4—471no—
1001#491—471no—
1002#491—471no—
1003#489—471no—
1004#489—471no—
1005#488—471no—
1006#488—471no—
1007#487—471no—
1008#487C2×D4711yescharacteristic, complemented
1009#485—471no—
1010#485—471no—
1011#485—471no—
1012#485—471no—
1013#484—471no—
1014#484—471no—
1015#484—471no—
1016#484—471no—
1017#483—471no—
1018#483—471no—
1019#483C2×D4711yescharacteristic, complemented
1020#483C2×D4711yescharacteristic, complemented
1021#481—471no—
1022#481—471no—
1023#480—471no—
1024#480—471no—
1025#478—471no—
1026#478—471no—
1027#478—471no—
1028#478—471no—
1029#476—471no—
1030#476C2×D4711yescharacteristic, complemented
1031#474—471no—
1032#474—471no—
1033#470—471no—
1034#470—471no—
1035#470C2×D4711yescharacteristic, complemented
1036#470C2×D4711yescharacteristic, complemented
1037#469—471no—
1038#469—471no—
1039#468—471no—
1040#468—471no—
1041#468—471no—
1042#468—471no—
1043#468—471no—
1044#468—471no—
1045#467—471no—
1046#467—471no—
1047#465—471no—
1048#465—471no—
1049#464—471no—
1050#464—471no—
1051#463—471no—
1052#463—471no—
1053#462—471no—
1054#462C2×D4711yescharacteristic, complemented
1055#461—471no—
1056#461—471no—
1057#452—471no—
1058#452—471no—
1059#452—471no—
1060#452—471no—
1061#452C2×D4711yescharacteristic, complemented
1062#452C2×D4711yescharacteristic, complemented
1063#450—471no—
1064#450—471no—
1065#449—471no—
1066#449—471no—
1067#449—471no—
1068#449—471no—
1069#449—471no—
1070#449—471no—
1071#447—471no—
1072#447—471no—
1073#442—471no—
1074#442—471no—
1075#440—471no—
1076#440—471no—
1077C4×SD16—471no—
1078C4×SD16C2×D4711yescharacteristic, complemented
1079C4×D8—471no—
1080C4×D8—471no—
1081#436—471no—
1082#436—471no—
1083#436—471no—
1084#436C2×D4711yescharacteristic, complemented
1085#435—471no—
1086#435—471no—
1087#435—471no—
1088#435—471no—
1089#428—471no—
1090#428—471no—
1091#427—471no—
1092#424—471no—
1093#419—471no—
1094#418—471no—
1095#418—471no—
1096#418—471no—
1097#417—471no—
1098#417—471no—
1099#417—471no—
1100#417—471no—
1101#417—471no—
1102#417—471no—
1103#417—471no—
1104#417—471no—
1105#417—471no—
1106#417—471no—
1107#417C2×D4711yescharacteristic, complemented
1108#417C2×D4711yescharacteristic, complemented
1109#416—471no—
1110#416—471no—
1111#416—471no—
1112#416—471no—
1113C2×#103—471no—
1114C2×#103—471no—
1115C2×#102—471no—
1116C2×#102—471no—
1117C2×#102—471no—
1118C2×#102—471no—
1119#408—471no—
1120#407—471no—
1121#405—471no—
1122C47#6117711yescharacteristic, complemented, Sylow
1123H(5,𝔽2)—944no—
1124H(5,𝔽2)—1882no—
1125C2×#41—471no—
1126C2×#41—471no—
1127C2×#41—471no—
1128C2×#41—471no—
1129C2×#41—471no—
1130C2×#41—471no—
1131C2×#41—471no—
1132C2×#41—941no—
1133C2×#41—941no—
1134C2×#41—941no—
1135C2×#41—941no—
1136C2×#41—941no—
1137C2×#41—944no—
1138C2×#41—1882no—
1139C2×#41C22×D4711yescharacteristic
1140C2×#41C22×D4711yescharacteristic
1141C22×Q8—471no—
1142C22×D4—471no—
1143C22×D4—471no—
1144C22×D4—471no—
1145C22×D4—941no—
1146C22×D4—941no—
1147C22×D4—941no—
1148C22×D4—941no—
1149C23×C4—471no—
1150C23×C4—941no—
1151C23×C4—941no—
1152#137—1882no—
1153AGL(1,ℤ/8)—944no—
1154#135—1882no—
1155C2×Q16—471no—
1156C2×Q16C22×D4711yescharacteristic
1157C2×Q16C22×D4711yescharacteristic
1158C2×SD16—471no—
1159C2×SD16—471no—
1160C2×SD16—471no—
1161C2×SD16—471no—
1162C2×SD16—471no—
1163C2×SD16C22×D4711yescharacteristic
1164C2×D8—471no—
1165C2×D8—471no—
1166C2×D8—471no—
1167#131—1882no—
1168C2×M16—471no—
1169C2×M16—471no—
1170C2×M16—471no—
1171C2×M16—471no—
1172C2×M16—471no—
1173C2×M16—471no—
1174C2×M16—1882no—
1175C2×M16C22×D4711yescharacteristic
1176C2×M16C22×D4711yescharacteristic
1177C22×C8—471no—
1178C22×C8—471no—
1179C22×C8—471no—
1180C22×C8—471no—
1181C4⋊Q8—471no—
1182C4⋊Q8—471no—
1183C4⋊Q8—941no—
1184C4⋊Q8—941no—
1185C4⋊Q8C22×D4711yescharacteristic
1186C4⋊Q8C22×D4711yescharacteristic
1187#126—941no—
1188#126—941no—
1189#126—941no—
1190#126—941no—
1191#125—21no—
1192#125—471no—
1193#125—471no—
1194#125—941no—
1195#125—941no—
1196#125—941no—
1197#125—941no—
1198#124—471no—
1199#124—471no—
1200#124—941no—
1201#123—21no—
1202#123—21no—
1203#123—471no—
1204#123—471no—
1205#123—941no—
1206#123—941no—
1207#123—941no—
1208#123—941no—
1209#123—941no—
1210#123—941no—
1211#123—941no—
1212#123—941no—
1213#123—941no—
1214#123—941no—
1215#123—941no—
1216#123—941no—
1217#123—941no—
1218#123—941no—
1219#123—941no—
1220#123—941no—
1221#123—941no—
1222#123—941no—
1223#123—941no—
1224#123—941no—
1225#123—941no—
1226#123—941no—
1227#123—941no—
1228#123—941no—
1229C22⋊Q8—21no—
1230C22⋊Q8—21no—
1231C22⋊Q8—471no—
1232C22⋊Q8—471no—
1233C22⋊Q8—471no—
1234C22⋊Q8—471no—
1235C22⋊Q8—471no—
1236C22⋊Q8—471no—
1237C22⋊Q8—471no—
1238C22⋊Q8—471no—
1239C22⋊Q8—941no—
1240C22⋊Q8—941no—
1241C22⋊Q8—941no—
1242C22⋊Q8—941no—
1243C22⋊Q8—941no—
1244C22⋊Q8—941no—
1245C22⋊Q8—941no—
1246C22⋊Q8—941no—
1247C22⋊Q8—941no—
1248C22⋊Q8C22×D4711yescharacteristic
1249C22⋊Q8C22×D4711yescharacteristic
1250C22⋊Q8C22×D4711yescharacteristic
1251C22⋊Q8C22×D4711yescharacteristic
1252#121—21no—
1253#121—471no—
1254#121—471no—
1255#121—471no—
1256#121—471no—
1257#121—471no—
1258#121—471no—
1259#121—471no—
1260#121—471no—
1261#121—941no—
1262#121—941no—
1263#121—941no—
1264#121—941no—
1265#121—941no—
1266#121—941no—
1267#121—941no—
1268#121—941no—
1269#121—941no—
1270#121—941no—
1271#121—941no—
1272#121—941no—
1273#120—471no—
1274#120—471no—
1275#120—941no—
1276#120—941no—
1277#120—941no—
1278#120—941no—
1279#120—941no—
1280#120—941no—
1281C4×Q8—471no—
1282C4×Q8—941no—
1283C4×Q8C22×D4711yescharacteristic
1284C4×D4—21no—
1285C4×D4—471no—
1286C4×D4—471no—
1287C4×D4—471no—
1288C4×D4—471no—
1289C4×D4—471no—
1290C4×D4—471no—
1291C4×D4—471no—
1292C4×D4—471no—
1293C4×D4—941no—
1294C4×D4—941no—
1295C4×D4—941no—
1296C4×D4—941no—
1297C4×D4—941no—
1298C4×D4—941no—
1299C4×D4—941no—
1300C4×D4—941no—
1301C4×D4—941no—
1302C4×D4—941no—
1303C4×D4—941no—
1304C4×D4—941no—
1305C4×D4—941no—
1306C4×D4—941no—
1307C4×D4C22×D4711yescharacteristic
1308C4×D4C22×D4711yescharacteristic
1309#117—471no—
1310#117—471no—
1311#117—471no—
1312#117—471no—
1313#117—471no—
1314#117—941no—
1315#117—941no—
1316#117—941no—
1317C2×C4⋊C4—21no—
1318C2×C4⋊C4—471no—
1319C2×C4⋊C4—471no—
1320C2×C4⋊C4—471no—
1321C2×C4⋊C4—471no—
1322C2×C4⋊C4—471no—
1323C2×C4⋊C4—471no—
1324C2×C4⋊C4—941no—
1325C2×C4⋊C4—941no—
1326C2×C4⋊C4—941no—
1327C2×C4⋊C4—941no—
1328C2×C4⋊C4—941no—
1329C2×C4⋊C4—941no—
1330C2×C4⋊C4—941no—
1331C2×C4⋊C4C22×D4711yescharacteristic
1332C2×C4⋊C4C22×D4711yescharacteristic
1333C2×C22⋊C4—941no—
1334C2×C22⋊C4—941no—
1335C2×C22⋊C4—941no—
1336C2×C22⋊C4—941no—
1337C2×C22⋊C4—941no—
1338C2×C22⋊C4—941no—
1339#107—471no—
1340#107—471no—
1341#107—471no—
1342#107—471no—
1343#107—471no—
1344#107—471no—
1345#106—471no—
1346#106—471no—
1347#106—471no—
1348#106C22×D4711yescharacteristic
1349#106C22×D4711yescharacteristic
1350#106C22×D4711yescharacteristic
1351C4⋊C8—471no—
1352C4⋊C8—471no—
1353C4⋊C8—471no—
1354C4⋊C8C22×D4711yescharacteristic
1355#103—471no—
1356#103—471no—
1357#103—471no—
1358#103—471no—
1359#103—471no—
1360#103—471no—
1361#103—471no—
1362#103—471no—
1363#103—471no—
1364#103—471no—
1365#103—471no—
1366#103—471no—
1367#103—471no—
1368#103C22×D4711yescharacteristic
1369#103C22×D4711yescharacteristic
1370#103C22×D4711yescharacteristic
1371#103C22×D4711yescharacteristic
1372#103C22×D4711yescharacteristic
1373#103C22×D4711yescharacteristic
1374#103C22×D4711yescharacteristic
1375#102—471no—
1376#102—471no—
1377#102—471no—
1378#102—471no—
1379#102—471no—
1380#102—471no—
1381#102—471no—
1382#102—471no—
1383#102—471no—
1384#102—471no—
1385#102—471no—
1386#102—471no—
1387#102—471no—
1388#102—471no—
1389#102—471no—
1390#102—471no—
1391#102—471no—
1392#102C22×D4711yescharacteristic
1393#102C22×D4711yescharacteristic
1394#102C22×D4711yescharacteristic
1395C22⋊C8—471no—
1396C22⋊C8—471no—
1397C22⋊C8—471no—
1398C22⋊C8—471no—
1399C22⋊C8—471no—
1400C22⋊C8—471no—
1401C22⋊C8C22×D4711yescharacteristic
1402C22⋊C8C22×D4711yescharacteristic
1403#97—471no—
1404#97—471no—
1405C4×C8—471no—
1406C4×C8C22×D4711yescharacteristic
1407C24—471no—
1408C24—941no—
1409C24—941no—
1410C24—941no—
1411#41—22no—
1412#41—22no—
1413#41—41no—
1414#41—41no—
1415#41—942no—
1416#41—942no—
1417#41—942no—
1418#41—942no—
1419#41—942no—
1420#41—942no—
1421#41—942no—
1422#41—942no—
1423#41—942no—
1424#41—942no—
1425#41—3762no—
1426#41—3762no—
1427#41—1881no—
1428#41—1884no—
1429#41—1884no—
1430#41—1881no—
1431#41—1884no—
1432#41—1881no—
1433#41—1881no—
1434C2×Q8—21no—
1435C2×Q8—471no—
1436C2×Q8—471no—
1437C2×Q8—941no—
1438C2×Q8—941no—
1439C2×Q8—942no—
1440C2×Q8—942no—
1441C2×Q8C23×D4711yescharacteristic
1442C2×Q8C23×D4711yescharacteristic
1443C2×Q8C23×D4711yescharacteristic
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—474no—
1447C2×D4—471no—
1448C2×D4—471no—
1449C2×D4—471no—
1450C2×D4—471no—
1451C2×D4—471no—
1452C2×D4—471no—
1453C2×D4—471no—
1454C2×D4—471no—
1455C2×D4—471no—
1456C2×D4—942no—
1457C2×D4—941no—
1458C2×D4—941no—
1459C2×D4—941no—
1460C2×D4—941no—
1461C2×D4—941no—
1462C2×D4—941no—
1463C2×D4—941no—
1464C2×D4—942no—
1465C2×D4—941no—
1466C2×D4—941no—
1467C2×D4—942no—
1468C2×D4—941no—
1469C2×D4—941no—
1470C2×D4—941no—
1471C2×D4—941no—
1472C2×D4—941no—
1473C2×D4—941no—
1474C2×D4—1881no—
1475C2×D4—1884no—
1476C2×D4—1881no—
1477C2×D4—1884no—
1478C2×D4—1884no—
1479C2×D4—1884no—
1480C2×D4D4×D4711yescharacteristic
1481C2×D4C23×D4711yescharacteristic
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—471no—
1488C22×C4—471no—
1489C22×C4—471no—
1490C22×C4—471no—
1491C22×C4—471no—
1492C22×C4—471no—
1493C22×C4—942no—
1494C22×C4—942no—
1495C22×C4—941no—
1496C22×C4—941no—
1497C22×C4—941no—
1498C22×C4—941no—
1499C22×C4—941no—
1500C22×C4—941no—
1501C22×C4—941no—
1502C22×C4—941no—
1503C22×C4—941no—
1504C22×C4—941no—
1505C22×C4—941no—
1506C22×C4—941no—
1507C22×C4—941no—
1508C22×C4—941no—
1509C22×C4—941no—
1510C22×C4—941no—
1511C22×C4—941no—
1512C22×C4—941no—
1513C22×C4—3762no—
1514C22×C4—1884no—
1515C22×C4C23×D4711yescharacteristic
1516C22×C4C23×D4711yescharacteristic
1517Q16—41no—
1518Q16—41no—
1519Q16—1881no—
1520SD16—22no—
1521SD16—942no—
1522SD16—1881no—
1523SD16—1881no—
1524SD16—1881no—
1525SD16—1881no—
1526D8—942no—
1527D8—942no—
1528D8—1881no—
1529M16—41no—
1530M16—41no—
1531M16—942no—
1532M16—942no—
1533M16—1881no—
1534M16—1881no—
1535M16—1881no—
1536M16—1881no—
1537C2×C8—471no—
1538C2×C8—471no—
1539C2×C8—471no—
1540C2×C8—471no—
1541C2×C8—942no—
1542C2×C8—942no—
1543C2×C8—1881no—
1544C2×C8—1881no—
1545C2×C8C23×D4711yescharacteristic
1546C2×C8C23×D4711yescharacteristic
1547C2×C8C23×D4711yescharacteristic
1548C2×C8C23×D4711yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—471no—
1560C4⋊C4—471no—
1561C4⋊C4—471no—
1562C4⋊C4—471no—
1563C4⋊C4—471no—
1564C4⋊C4—471no—
1565C4⋊C4—471no—
1566C4⋊C4—471no—
1567C4⋊C4—471no—
1568C4⋊C4—941no—
1569C4⋊C4—941no—
1570C4⋊C4—941no—
1571C4⋊C4—941no—
1572C4⋊C4—941no—
1573C4⋊C4—941no—
1574C4⋊C4—941no—
1575C4⋊C4—941no—
1576C4⋊C4—941no—
1577C4⋊C4—941no—
1578C4⋊C4—941no—
1579C4⋊C4—941no—
1580C4⋊C4—941no—
1581C4⋊C4—941no—
1582C4⋊C4—941no—
1583C4⋊C4—941no—
1584C4⋊C4—941no—
1585C4⋊C4—941no—
1586C4⋊C4—941no—
1587C4⋊C4—941no—
1588C4⋊C4D4×D4711yescharacteristic
1589C4⋊C4C23×D4711yescharacteristic
1590C4⋊C4C23×D4711yescharacteristic
1591C4⋊C4C23×D4711yescharacteristic
1592C4⋊C4C23×D4711yescharacteristic
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—471no—
1599C22⋊C4—471no—
1600C22⋊C4—471no—
1601C22⋊C4—471no—
1602C22⋊C4—471no—
1603C22⋊C4—471no—
1604C22⋊C4—471no—
1605C22⋊C4—471no—
1606C22⋊C4—941no—
1607C22⋊C4—941no—
1608C22⋊C4—941no—
1609C22⋊C4—941no—
1610C22⋊C4—941no—
1611C22⋊C4—941no—
1612C22⋊C4—941no—
1613C22⋊C4—941no—
1614C22⋊C4—941no—
1615C22⋊C4—941no—
1616C22⋊C4—941no—
1617C22⋊C4—941no—
1618C22⋊C4—941no—
1619C22⋊C4—941no—
1620C22⋊C4—941no—
1621C22⋊C4—941no—
1622C22⋊C4—941no—
1623C22⋊C4—941no—
1624C22⋊C4—941no—
1625C22⋊C4—941no—
1626C22⋊C4—941no—
1627C22⋊C4—941no—
1628C22⋊C4—941no—
1629C22⋊C4—941no—
1630C22⋊C4—941no—
1631C22⋊C4D4×D4711yescharacteristic
1632C22⋊C4D4×D4711yescharacteristic
1633C42—21no—
1634C42—471no—
1635C42—941no—
1636C42—941no—
1637C42—941no—
1638C42—941no—
1639C42—941no—
1640C42C23×D4711yescharacteristic
1641C23—21no—
1642C23—471no—
1643C23—471no—
1644C23—471no—
1645C23—944no—
1646C23—942no—
1647C23—941no—
1648C23—941no—
1649C23—941no—
1650C23—3761no—
1651C23—3761no—
1652C23—3761no—
1653C23—3761no—
1654C23—3761no—
1655C23—3761no—
1656C23—1881no—
1657C23—1881no—
1658C23—1882no—
1659C23—1882no—
1660C23C2×D4×D4711yescharacteristic
1661C23C2×D4×D4711yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—21no—
1668Q8—81no—
1669Q8—942no—
1670Q8—941no—
1671Q8—941no—
1672Q8—3761no—
1673Q8—1882no—
1674D4—21no—
1675D4—41no—
1676D4—42no—
1677D4—42no—
1678D4—472no—
1679D4—942no—
1680D4—944no—
1681D4—942no—
1682D4—942no—
1683D4—941no—
1684D4—941no—
1685D4—941no—
1686D4—941no—
1687D4—941no—
1688D4—3761no—
1689D4—3761no—
1690D4—3761no—
1691D4—3761no—
1692D4—1881no—
1693D4—1882no—
1694D4—1882no—
1695D4—1882no—
1696D4—1882no—
1697D4—1882no—
1698D4—1882no—
1699D4—1881no—
1700D4—1881no—
1701D4—1882no—
1702D4—1882no—
1703D4—1882no—
1704D4—1882no—
1705D4#41×D4712yes—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—42no—
1718C2×C4—42no—
1719C2×C4—81no—
1720C2×C4—81no—
1721C2×C4—81no—
1722C2×C4—471no—
1723C2×C4—472no—
1724C2×C4—472no—
1725C2×C4—471no—
1726C2×C4—471no—
1727C2×C4—471no—
1728C2×C4—471no—
1729C2×C4—942no—
1730C2×C4—942no—
1731C2×C4—942no—
1732C2×C4—941no—
1733C2×C4—941no—
1734C2×C4—941no—
1735C2×C4—941no—
1736C2×C4—941no—
1737C2×C4—941no—
1738C2×C4—941no—
1739C2×C4—941no—
1740C2×C4—941no—
1741C2×C4—3761no—
1742C2×C4—3761no—
1743C2×C4—3761no—
1744C2×C4—3761no—
1745C2×C4—3761no—
1746C2×C4—3761no—
1747C2×C4—3761no—
1748C2×C4—3761no—
1749C2×C4—3761no—
1750C2×C4—1882no—
1751C2×C4—1882no—
1752C2×C4—1882no—
1753C2×C4—1882no—
1754C2×C4—1882no—
1755C2×C4—1882no—
1756C2×C4—1882no—
1757C2×C4—1882no—
1758C2×C4—1882no—
1759C2×C4C2×D4×D4711yescharacteristic
1760C2×C4C2×D4×D4711yescharacteristic
1761C2×C4C2×D4×D4711yescharacteristic
1762C2×C4C2×D4×D4711yescharacteristic
1763C2×C4C24×D4711yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—941no—
1769C8—941no—
1770C8—941no—
1771C8—941no—
1772C22—21no—
1773C22—21no—
1774C22—22no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—41no—
1780C22—41no—
1781C22—472no—
1782C22—941no—
1783C22—941no—
1784C22—941no—
1785C22—941no—
1786C22—942no—
1787C22—941no—
1788C22—941no—
1789C22—941no—
1790C22—941no—
1791C22—3764no—
1792C22—1884no—
1793C22—1881no—
1794C22—1881no—
1795C22—1881no—
1796C22—1881no—
1797C22—1881no—
1798C22—1881no—
1799C22—1881no—
1800C22—1881no—
1801C22—7522no—
1802C22—7522no—
1803C22C22×D4×D4711yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—472no—
1816C4—941no—
1817C4—941no—
1818C4—941no—
1819C4—941no—
1820C4—1881no—
1821C4—1881no—
1822C4—1881no—
1823C4—1881no—
1824C4—1881no—
1825C4C2×#41×D4711yescharacteristic
1826C4H(5,𝔽2)×D4711yescharacteristic
1827C2—41no—
1828C2—41no—
1829C2—42no—
1830C2—942no—
1831C2—3761no—
1832C2—3761no—
1833C2—1881no—
1834C2—1881no—
1835C2—1882no—
1836C2#546×D4711yescharacteristic
1837C2#2025816611yescharacteristic
1838C2#2025817111yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3331C2
socleC22×C47C23×D4
hypercenter#3331D47
hypocenterC47#61177
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3331

Complements

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

NH ≅ G/Ntype
1. #20257096C2semidirect
2. #20257027C2semidirect
3. #20255699C2semidirect
4. #20255692C2semidirect
5. #20255689C2semidirect
6. #20255610C2semidirect
7. #20255609C2semidirect
8. #20255591C2semidirect
9. #20255590C2semidirect
10. #20255491C2semidirect
11. #20255488C2semidirect
12. #20255463C2semidirect
13. #20255462C2semidirect
14. #20255367C2semidirect
15. #20255364C2semidirect
16. #20255347C2semidirect
17. #20255346C2semidirect
18. #20253748C2semidirect
19. #20253350C2semidirect
20. #20253312C2semidirect
21. #20253214C2semidirect
22. #20253076C2semidirect
23. #20252999C2semidirect
24. #20252935C2semidirect
25. #20252696C2semidirect
26. #20252631C2semidirect
27. #20252215C2semidirect
28. #20252088C2semidirect
29. #20251912C2semidirect
30. #417×D47C2semidirect
31. C47×#3331C2semidirect
34. C2×#13094056C22semidirect
38. C2×M16×D47C22semidirect
39. #15689831C22semidirect
42. #15689821C22semidirect
43. #15689819C22semidirect
44. #15689814C22semidirect
45. #15689807C22semidirect
48. #15689776C22semidirect
52. #15689774C22semidirect
61. #15689750C22semidirect
71. #15689636C22semidirect
76. #15689605C22semidirect
79. C2×C4⋊C4×D47C22semidirect
80. #15689491C22semidirect
81. #15689490C22semidirect
82. #15689485C22semidirect
83. #15689484C22semidirect
84. #15689479C22semidirect
85. #15689478C22semidirect
86. #15689472C22semidirect
87. #15689467C22semidirect
88. #15689465C22semidirect
89. #15689462C22semidirect
90. #15689461C22semidirect
91. #15689458C22semidirect
92. #15689457C22semidirect
93. #15689457C22semidirect
94. #15689457C22semidirect
95. #15689455C22semidirect
96. #15689451C22semidirect
97. #15689443C22semidirect
98. #15689443C22semidirect
99. #15689437C22semidirect
100. #15689436C22semidirect
101. #15689425C22semidirect
102. #15689424C22semidirect
103. #15689423C22semidirect
104. #15689422C22semidirect
105. #15689412C22semidirect
106. #15689401C22semidirect
107. #15689400C22semidirect
108. #15689380C22semidirect
109. #15689378C22semidirect
110. #15689377C22semidirect
111. #15689376C22semidirect
112. #15689372C22semidirect
113. #15689372C22semidirect
114. #15689372C22semidirect
115. #15689371C22semidirect
116. #15689371C22semidirect
117. #15689369C22semidirect
118. #15689362C22semidirect
119. #15689361C22semidirect
120. #15689354C22semidirect
121. #15689353C22semidirect
122. #15689347C22semidirect
123. #15689345C22semidirect
124. #15689341C22semidirect
125. #15689339C22semidirect
126. #15689331C22semidirect
127. #15689327C22semidirect
128. #15689325C22semidirect
129. #15689284C22semidirect
130. #15689284C22semidirect
131. #15689283C22semidirect
132. #15689282C22semidirect
133. #15689273C22semidirect
134. #15689272C22semidirect
135. #15689271C22semidirect
136. #15689271C22semidirect
137. #15689270C22semidirect
138. #15689269C22semidirect
139. #15689268C22semidirect
140. #15689268C22semidirect
141. #15689259C22semidirect
142. #15689258C22semidirect
143. #15689234C22semidirect
144. #15689233C22semidirect
145. #15689224C22semidirect
146. #15689221C22semidirect
147. #15689208C22semidirect
148. C4×D376C22semidirect
149. #15689203C22semidirect
150. #15689202C22semidirect
151. #15689199C22semidirect
152. #15689199C22semidirect
153. #15689197C22semidirect
154. #15689195C22semidirect
155. #15689193C22semidirect
156. #15689191C22semidirect
157. #15689162C22semidirect
158. #15689162C22semidirect
159. #15689158C22semidirect
160. #15689148C22semidirect
161. #15689130C22semidirect
162. #15689129C22semidirect
164. #15689126C22semidirect
165. #15689125C22semidirect
166. #15689124C22semidirect
169. #15689123C22semidirect
170. #15689123C22semidirect
171. #15689123C22semidirect
172. #15689122C22semidirect
173. #15689121C22semidirect
174. #15689121C22semidirect
175. #15689119C22semidirect
177. #15689118C22semidirect
178. #15689118C22semidirect
179. #103×D47C22semidirect
180. #103×D47C22semidirect
181. C2×#13093944C22semidirect
184. #102×D47C22semidirect
186. #15689085C22semidirect
187. #15689077C22semidirect
188. C47×#554C22semidirect
190. C47×#487C22semidirect
191. C47×#483C22semidirect
192. C47×#483C22semidirect
193. C47×#476C22semidirect
194. C47×#470C22semidirect
195. C47×#470C22semidirect
196. C47×#462C22semidirect
197. C47×#452C22semidirect
198. C47×#452C22semidirect
199. C4×SD16×C47C22semidirect
200. C47×#436C22semidirect
201. C47×#417C22semidirect
202. C47×#417C22semidirect
545. D4×D47#41semidirect
911. #3331D47semidirect
960. #554C2×D47semidirect
1008. #487C2×D47semidirect
1019. #483C2×D47semidirect
1020. #483C2×D47semidirect
1030. #476C2×D47semidirect
1035. #470C2×D47semidirect
1036. #470C2×D47semidirect
1054. #462C2×D47semidirect
1061. #452C2×D47semidirect
1062. #452C2×D47semidirect
1078. C4×SD16C2×D47semidirect
1084. #436C2×D47semidirect
1107. #417C2×D47semidirect
1108. #417C2×D47semidirect
1122. C47#61177semidirect

Maximal subgroups

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

subgroupindex
#202570962
#202570272
#202556992
#202556922
#202556892
#202556102
#202556092
#202555912
#202555902
#202554912
#202554882
#202554632
#202554622
#202553672
#202553642
#202553472
#202553462
#202537482
#202533502
#202533122
#202532142
#202530762
#202529992
#202529352
#202526962
#202526312
#202522152
#202520882
#202519122
#417×D472
C47×#33312
#6117747