Finite Group Databasebeta

← #27110078

Subgroups — #27110078

Order 12032.

1860 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257962C211yesmaximal, characteristic, complemented
2#20257333C211yesmaximal, characteristic, complemented
3#20256455C211yesmaximal, characteristic, complemented
4#20256399C211yesmaximal, characteristic, complemented
5#20256136C211yesmaximal, characteristic, complemented
6#20256040C211yesmaximal, characteristic, complemented
7#20255689C211yesmaximal, characteristic, complemented
8#20255650C211yesmaximal, characteristic, complemented
9#20255639C211yesmaximal, characteristic, complemented
10#20255352C211yesmaximal, characteristic, complemented
11#20255239C211yesmaximal, characteristic, complemented
12#20255092C211yesmaximal, characteristic, complemented
13#20255008C211yesmaximal, characteristic, complemented
14#20254996C211yesmaximal, characteristic, complemented
15#20254992C211yesmaximal, characteristic, complemented
16#20254916C211yesmaximal, characteristic, complemented
17#20254888C211yesmaximal, characteristic, complemented
18#20254833C211yesmaximal, characteristic, complemented
19#20254802C211yesmaximal, characteristic, complemented
20#20254785C211yesmaximal, characteristic, complemented
21#20254501C211yesmaximal, characteristic, complemented
22#20254439C211yesmaximal, characteristic, complemented
23#20254367C211yesmaximal, characteristic, complemented
24#20253627C211yesmaximal, characteristic, complemented
25#20253600C211yesmaximal, characteristic, complemented
26#20253432C211yesmaximal, characteristic, complemented
27#20252924C211yesmaximal, characteristic, complemented
28#20252903C211yesmaximal, characteristic, complemented
29#20252851C211yesmaximal, characteristic, complemented
30#20252530C211yesmaximal, characteristic, complemented
31C47×#3317C211yesmaximal, characteristic, complemented
32C2×#13094052C2211yescharacteristic
33C2×#13094051C2211yescharacteristic
34C2×#13094049C2211yescharacteristic
35C2×#13094049C2211yescharacteristic, complemented
36C2×#13094045C2211yescharacteristic
37C22×#10625325C2211yescharacteristic, complemented
38#15689868—21no—
39#15689860—21no—
40#15689859C2211yescharacteristic, complemented
41#15689858C2211yescharacteristic, complemented
42#15689845C2211yescharacteristic, complemented
43#15689829C2211yescharacteristic, complemented
44#15689826—21no—
45#15689817C2211yescharacteristic
46#15689816—21no—
47#15689802—21no—
48#15689798—21no—
49#15689797—21no—
50#15689782C2211yescharacteristic
51#15689779C2211yescharacteristic, complemented
52#15689774C2211yescharacteristic
53#15689772C2211yescharacteristic, complemented
54#15689770C2211yescharacteristic, complemented
55#15689765—21no—
56#15689764C2211yescharacteristic
57#15689764C2211yescharacteristic
58#15689761C2211yescharacteristic, complemented
59D4×D188C2211yescharacteristic, complemented
60#15689746C2211yescharacteristic, complemented
61#15689731C2211yescharacteristic, complemented
62#15689729C2211yescharacteristic
63#15689727—21no—
64#15689726C2211yescharacteristic, complemented
65#15689721—21no—
66#15689715—21no—
67#15689712—21no—
68#15689710—21no—
69#15689705—21no—
70#15689694C2211yescharacteristic, complemented
71#15689686C2211yescharacteristic, complemented
72#15689669C2211yescharacteristic, complemented
73#15689659C2211yescharacteristic, complemented
74#15689654C2211yescharacteristic, complemented
75#15689653C2211yescharacteristic
76#15689635—21no—
77#123×D47—21no—
78#15689605C2211yescharacteristic
79#15689597C2211yescharacteristic, complemented
80C2×#13093986C2211yescharacteristic, complemented
81#15689516C2211yescharacteristic, complemented
82#15689512C2211yescharacteristic
83#15689508C2211yescharacteristic, complemented
84#15689504C2211yescharacteristic, complemented
85#15689504C2211yescharacteristic, complemented
86#15689499C2211yescharacteristic
87#15689481C2211yescharacteristic, complemented
88#15689480C2211yescharacteristic, complemented
89#15689479C2211yescharacteristic, complemented
90#15689476C2211yescharacteristic, complemented
91#15689472C2211yescharacteristic, complemented
92#15689458C2211yescharacteristic, complemented
93#15689457C2211yescharacteristic, complemented
94#15689455C2211yescharacteristic, complemented
95#15689447C2211yescharacteristic, complemented
96#15689432C2211yescharacteristic, complemented
97#15689429C2211yescharacteristic, complemented
98#15689427C2211yescharacteristic, complemented
99#15689426C2211yescharacteristic, complemented
100#15689422C2211yescharacteristic, complemented
101#15689422C2211yescharacteristic, complemented
102#15689421C2211yescharacteristic, complemented
103#15689412C2211yescharacteristic, complemented
104#15689401C2211yescharacteristic, complemented
105#15689379C2211yescharacteristic, complemented
106#15689374C2211yescharacteristic
107#15689374C2211yescharacteristic, complemented
108#15689372C2211yescharacteristic, complemented
109#15689371C2211yescharacteristic, complemented
110#15689370C2211yescharacteristic, complemented
111#15689369C2211yescharacteristic, complemented
112#15689359C2211yescharacteristic
113#15689355C2211yescharacteristic, complemented
114#15689353C2211yescharacteristic, complemented
115#15689348C2211yescharacteristic, complemented
116#15689345C2211yescharacteristic, complemented
117#15689343C2211yescharacteristic, complemented
118#15689341C2211yescharacteristic
119#15689341C2211yescharacteristic, complemented
120#15689341C2211yescharacteristic, complemented
121#15689340C2211yescharacteristic, complemented
122#15689340C2211yescharacteristic, complemented
123#15689339C2211yescharacteristic
124#15689337C2211yescharacteristic
125#15689337C2211yescharacteristic
126#15689337C2211yescharacteristic, complemented
127#15689337C2211yescharacteristic, complemented
128#15689337C2211yescharacteristic, complemented
129#15689337C2211yescharacteristic, complemented
130#15689337C2211yescharacteristic, complemented
131#15689331C2211yescharacteristic, complemented
132#15689327C2211yescharacteristic, complemented
133#15689327C2211yescharacteristic, complemented
134#15689327C2211yescharacteristic, complemented
135#15689327C2211yescharacteristic, complemented
136#15689327C2211yescharacteristic, complemented
137#15689324C2211yescharacteristic, complemented
138#15689323C2211yescharacteristic, complemented
139#15689321C2211yescharacteristic, complemented
140#15689317C2211yescharacteristic
141#15689317C2211yescharacteristic, complemented
142#15689317C2211yescharacteristic, complemented
143#15689315C2211yescharacteristic
144#15689288C2211yescharacteristic
145#15689284C2211yescharacteristic
146#15689283C2211yescharacteristic, complemented
147#15689278C2211yescharacteristic, complemented
148#15689276C2211yescharacteristic, complemented
149#15689270C2211yescharacteristic
150#15689269C2211yescharacteristic, complemented
151#15689269C2211yescharacteristic, complemented
152#15689268C2211yescharacteristic
153#15689268C2211yescharacteristic, complemented
154#15689264C2211yescharacteristic, complemented
155#15689259C2211yescharacteristic
156#15689258C2211yescharacteristic, complemented
157#15689258C2211yescharacteristic, complemented
158#15689256C2211yescharacteristic
159#15689256C2211yescharacteristic, complemented
160#15689251C2211yescharacteristic, complemented
161#15689247C2211yescharacteristic, complemented
162#15689234C2211yescharacteristic, complemented
163#15689232C2211yescharacteristic, complemented
164#15689225C2211yescharacteristic, complemented
165C4×#10625337C2211yescharacteristic, complemented
166C4×#10625336C2211yescharacteristic, complemented
167#15689210C2211yescharacteristic, complemented
168#15689210C2211yescharacteristic, complemented
169#15689205C2211yescharacteristic
170#15689203C2211yescharacteristic
171#15689203C2211yescharacteristic, complemented
172#15689203C2211yescharacteristic, complemented
173#15689201C2211yescharacteristic, complemented
174#15689199C2211yescharacteristic, complemented
175#15689198C2211yescharacteristic, complemented
176#15689197C2211yescharacteristic, complemented
177C8×C22⋊D47C2211yescharacteristic, complemented
178#15689185C2211yescharacteristic, complemented
179#15689181C2211yescharacteristic, complemented
180#15689173C2211yescharacteristic, complemented
181#15689149C2211yescharacteristic, complemented
182#15689148C2211yescharacteristic, complemented
183#15689146C2211yescharacteristic, complemented
184#15689131C2211yescharacteristic, complemented
185#15689122C2211yescharacteristic, complemented
186#15689121C2211yescharacteristic, complemented
187#102×D47C2211yescharacteristic, complemented
188C47×#552C2211yescharacteristic, complemented
189C47×#550C2211yescharacteristic
190C47×#490C2211yescharacteristic, complemented
191C47×#482C2211yescharacteristic, complemented
192C47×#481C2211yescharacteristic, complemented
193C47×#479C2211yescharacteristic, complemented
194C47×#468C2211yescharacteristic, complemented
195C47×#465C2211yescharacteristic, complemented
196C47×#460C2211yescharacteristic, complemented
197C47×#452C2211yescharacteristic, complemented
198C47×#452C2211yescharacteristic, complemented
199C47×#441C2211yescharacteristic, complemented
200C47×#435C2211yescharacteristic, complemented
201C47×#417C2211yescharacteristic, complemented
202C47×#416C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625350—21no—
205C2×#10625350C2311yescharacteristic
206C2×#10625352C2311yescharacteristic
207C22×Dic94C2311yescharacteristic
208C22×D188C2311yescharacteristic
209C22×D188C2311yescharacteristic
210C2×D4×D47—21no—
211C2×D4×D47C2311yescharacteristic
212C22×C4×D47—21no—
213#13094052—42no—
214#13094051—42no—
215#13094049—42no—
216#13094049—42no—
217#13094045—42no—
218C2×#10625337C2311yescharacteristic
219C2×#10625337C2311yescharacteristic
220C2×#10625325—42no—
221C2×#10625325C2311yescharacteristic
222C2×#10625325C2311yescharacteristic
223C2×#10625325C2311yescharacteristic
224C2×#10625325C2311yescharacteristic
225C2×#10625325C2311yescharacteristic
226C2×#10625325C2311yescharacteristic
227C2×#10625336C2311yescharacteristic
228C2×#10625336C2311yescharacteristic
229C2×#10625336C2311yescharacteristic
230C2×#10625336C2311yescharacteristic
231C2×D376C2311yescharacteristic
232C2×D376C2311yescharacteristic
233C2×D376C2311yescharacteristic
234C2×#10625334C2311yescharacteristic
235C2×#10625334C2311yescharacteristic
236C2×#10625334C2311yescharacteristic
237C2×#10625334C2311yescharacteristic
238C2×#10625334C2311yescharacteristic
239C2×#10625334C2311yescharacteristic
240C2×#10625329C2311yescharacteristic
241C2×#10625329C2311yescharacteristic
242C2×#10625324C2311yescharacteristic
243C2×C8×D47C2311yescharacteristic
244#13094023C2311yescharacteristic
245#13094022C2311yescharacteristic
246#13094022C2311yescharacteristic
247#13094021C2311yescharacteristic
248#13094020C2311yescharacteristic
249#13094019—21no—
250#13094019—21no—
251#13094019—21no—
252#13094019—21no—
253#13094019D411yescharacteristic
254#13094018—21no—
255#13094018—21no—
256#13094018—21no—
257#13094017—21no—
258#13094017D411yescharacteristic
259#13094016—21no—
260#13094015C2311yescharacteristic
261#13094015C2311yescharacteristic
262#13094014—21no—
263#13094014D411yescharacteristic
264#13094013C2311yescharacteristic
265#13094013C2311yescharacteristic
266#13094013C2311yescharacteristic
267#13094012—21no—
268#13094012C2311yescharacteristic
269#13094011—21no—
270#13094011C2311yescharacteristic
271#13094011C2311yescharacteristic
272#13094011C2311yescharacteristic
273#13094010—21no—
274#13094010—21no—
275#13094010—21no—
276#13094010D411yescharacteristic
277#13094009—21no—
278#13094009—21no—
279#13094009—21no—
280#13094009—21no—
281#13094009—21no—
282#13094009—21no—
283#13094009—21no—
284#13094008—21no—
285#13094008—21no—
286#13094008D411yescharacteristic
287#13094007—21no—
288#13094007—21no—
289#13094007—21no—
290#13094006—21no—
291#13094006—21no—
292#13094006—21no—
293#13094006—21no—
294#13094005—21no—
295#13094005—21no—
296#13094005—21no—
297#13094005—21no—
298#13094005—21no—
299#13094005—21no—
300#13094005D411yescharacteristic
301#13094004—21no—
302#13094004—21no—
303#13094004C2311yescharacteristic
304#13094003—21no—
305#13094003—21no—
306#13094003C2311yescharacteristic
307#13094002—21no—
308#13094002—21no—
309#13094002—21no—
310#13094002—21no—
311#13094002—21no—
312#13094001—21no—
313#13094001D411yescharacteristic
314#13094000C2311yescharacteristic
315#13093999—21no—
316#13093999—21no—
317#13093999—21no—
318#13093999—21no—
319#13093999—21no—
320#13093999C2311yescharacteristic
321#13093999C2311yescharacteristic
322#13093998C2311yescharacteristic
323#13093998C2311yescharacteristic
324#13093998C2311yescharacteristic
325#13093997—21no—
326#13093996—21no—
327#13093996—21no—
328#13093996—21no—
329#13093996—21no—
330#13093996—21no—
331#13093996—21no—
332#13093996—21no—
333#13093996—21no—
334#13093996—21no—
335#13093996D411yescharacteristic
336#13093995—21no—
337#13093995—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
347C4×Dic94C2311yescharacteristic
348C4×Dic94C2311yescharacteristic
349#13093989C2311yescharacteristic
350C4×D188—21no—
351C4×D188—21no—
352C4×D188—21no—
353C4×D188—21no—
354C4×D188—21no—
355C4×D188C2311yescharacteristic
356D4×Dic47—21no—
357D4×Dic47—21no—
358D4×Dic47—21no—
359D4×Dic47C2311yescharacteristic
360D4×Dic47C2311yescharacteristic
361#13093986—21no—
362#13093986—21no—
363#13093986—21no—
364#13093986C2311yescharacteristic
365#13093986C2311yescharacteristic
366#13093986C2311yescharacteristic
367#13093986C2311yescharacteristic
368#13093986C2311yescharacteristic
369#13093986C2311yescharacteristic
370#13093986C2311yescharacteristic
371#13093986C2311yescharacteristic
372C4×C22⋊D47—21no—
373C4×C22⋊D47—21no—
374C4×C22⋊D47C2311yescharacteristic
375C4×C22⋊D47C2311yescharacteristic
376(C22⋊D47)⋊C4—21no—
377(C22⋊D47)⋊C4—21no—
378#13093983C2311yescharacteristic
379#13093982—21no—
380#13093981—21no—
381#13093981—21no—
382#13093981C2311yescharacteristic
383#13093980—21no—
384C2×Dic47⋊C4—21no—
385C4⋊C4×D47—21no—
386C4⋊C4×D47—21no—
387C4⋊C4×D47C2311yescharacteristic
388C2×(C2×D47)⋊C4—21no—
389C2×(C2×D47)⋊C4—21no—
390C22⋊C4×D47—21no—
391C22⋊C4×D47—21no—
392C22⋊C4×D47—21no—
393C22⋊C4×D47—21no—
394C22⋊C4×D47—21no—
395C2×C4×Dic47C2311yescharacteristic
396#13093958C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093955C2311yescharacteristic
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#13093947C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
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
437C4×C47⋊C8C2311yescharacteristic
438C8×Dic47C2311yescharacteristic
439C8×Dic47C2311yescharacteristic
440C8×Dic47C2311yescharacteristic
441C2×#41×C47C2311yescharacteristic
442C2×#41×C47C2311yescharacteristic
443C2×Q16×C47C2311yescharacteristic
444C2×SD16×C47C2311yescharacteristic
445C2×SD16×C47C2311yescharacteristic
446C2×M16×C47C2311yescharacteristic
447C22×C8×C47C2311yescharacteristic
448#127×C47—21no—
449#127×C47C2311yescharacteristic
450#126×C47—21no—
451#125×C47—21no—
452#125×C47C2311yescharacteristic
453#123×C47—21no—
454C22⋊Q8×C47C2311yescharacteristic
455C22⋊Q8×C47C2311yescharacteristic
456#121×C47—21no—
457#121×C47—21no—
458#121×C47C2311yescharacteristic
459#121×C47C2311yescharacteristic
460C4×Q8×C47C2311yescharacteristic
461C4×Q8×C47C2311yescharacteristic
462C4×D4×C47—21no—
463C4×D4×C47C2311yescharacteristic
464#117×C47—21no—
465#117×C47C2311yescharacteristic
466C2×C4⋊C4×C47C2311yescharacteristic
467#107×C47C2311yescharacteristic
468#106×C47C2311yescharacteristic
469#106×C47C2311yescharacteristic
470C4⋊C8×C47C2311yescharacteristic
471#103×C47C2311yescharacteristic
472#103×C47C2311yescharacteristic
473#103×C47C2311yescharacteristic
474#103×C47C2311yescharacteristic
475#102×C47C2311yescharacteristic
476#102×C47C2311yescharacteristic
477#102×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—
489#41×C47—41no—
490#41×C47—41no—
491C2×Q8×C47C2411yescharacteristic
492C2×Q8×C47C2411yescharacteristic
493C2×D4×C47—21no—
494C2×D4×C47—21no—
495C2×D4×C47—21no—
496C2×D4×C47—21no—
497C2×D4×C47—21no—
498C2×D4×C47—21no—
499C2×D4×C47C2×D411yescharacteristic
500C2×D4×C47C2411yescharacteristic
501C2×D4×C47C2411yescharacteristic
502C22×C4×C47—21no—
503C22×C4×C47—21no—
504C22×C4×C47—21no—
505C22×C4×C47C2411yescharacteristic
506C22×C4×C47C2411yescharacteristic
507C2×C22⋊D47—21no—
508C2×C22⋊D47—21no—
509C2×C22⋊D47—21no—
510C2×C22⋊D47—21no—
511C2×C22⋊D47—21no—
512C2×C22⋊D47—21no—
513C2×C22⋊D47—21no—
514C2×C22⋊D47—21no—
515C2×C22⋊D47C2×D411yescharacteristic
516C2×C22⋊D47C2×D411yescharacteristic
517C22×Dic47—21no—
518C22×Dic47—21no—
519C22×Dic47—21no—
520C22×Dic47—21no—
521C22×Dic47C2×D411yescharacteristic
522C22×Dic47C2×D411yescharacteristic
523#10625354—22no—
524#10625354—41no—
525#10625352—41no—
526#10625352—41no—
527D4×D47—41no—
528D4×D47—41no—
529D4×D47—82no—
530#10625350—41no—
531#10625350—41no—
532#10625350—82no—
533C2×D188—22no—
534C2×D188—22no—
535C2×D188—21no—
536C2×D188—21no—
537C2×D188—21no—
538C2×D188—21no—
539C2×D188—21no—
540C2×D188—21no—
541C2×D188—21no—
542C2×D188—41no—
543C2×D188—41no—
544C2×D188C2411yescharacteristic
545C2×D188C2411yescharacteristic
546C2×D188C2411yescharacteristic
547C2×D188C2411yescharacteristic
548C2×C4×D47—21no—
549C2×C4×D47—21no—
550C2×C4×D47—21no—
551C2×C4×D47—21no—
552C2×C4×D47—21no—
553C2×C4×D47—21no—
554C2×C4×D47—21no—
555C2×C4×D47—21no—
556C2×C4×D47—21no—
557C2×C4×D47—21no—
558C2×C4×D47—21no—
559C2×C4×D47—21no—
560C2×C4×D47—82no—
561C2×C4×D47C2411yescharacteristic
562C2×Dic94—21no—
563C2×Dic94—21no—
564C2×Dic94—41no—
565C2×Dic94—41no—
566C2×Dic94C2×D411yescharacteristic
567C2×Dic94C2411yescharacteristic
568C2×Dic94C2411yescharacteristic
569Q16×C47—41no—
570SD16×C47—41no—
571SD16×C47—41no—
572M16×C47—41no—
573C2×C8×C47—41no—
574C2×C8×C47C2411yescharacteristic
575C2×C8×C47C2411yescharacteristic
576C2×C8×C47C2411yescharacteristic
577C2×C8×C47C2411yescharacteristic
578C4⋊C4×C47—21no—
579C4⋊C4×C47—21no—
580C4⋊C4×C47—21no—
581C4⋊C4×C47—21no—
582C4⋊C4×C47—21no—
583C4⋊C4×C47—21no—
584C4⋊C4×C47—21no—
585C4⋊C4×C47C2×D411yescharacteristic
586C4⋊C4×C47C2411yescharacteristic
587C4⋊C4×C47C2411yescharacteristic
588C4⋊C4×C47C2411yescharacteristic
589C4⋊C4×C47C2411yescharacteristic
590C22⋊C4×C47—21no—
591C22⋊C4×C47—21no—
592C22⋊C4×C47—21no—
593C22⋊C4×C47—21no—
594C22⋊C4×C47—21no—
595C22⋊C4×C47C2×D411yescharacteristic
596C22⋊C4×C47C2×D411yescharacteristic
597C42×C47—21no—
598C42×C47—21no—
599C42×C47—21no—
600C42×C47C2411yescharacteristic
601C22⋊Dic47—21no—
602C22⋊Dic47—21no—
603C22⋊Dic47—21no—
604C22⋊Dic47—21no—
605C22⋊Dic47—21no—
606C22⋊Dic47—21no—
607C22⋊Dic47—21no—
608C22⋊Dic47—21no—
609C22⋊Dic47—21no—
610C22⋊Dic47C2×D411yescharacteristic
611C22⋊Dic47C2×D411yescharacteristic
612C22⋊Dic47C2×D411yescharacteristic
613C22⋊Dic47C2×D411yescharacteristic
614#10625337—41no—
615#10625337—41no—
616#10625336—22no—
617#10625336—41no—
618#10625336—41no—
619#10625336—41no—
620#10625334—22no—
621#10625334—22no—
622#10625334—41no—
623#10625334—41no—
624#10625334—41no—
625#10625334—41no—
626(C2×D47)⋊C4—21no—
627(C2×D47)⋊C4—21no—
628(C2×D47)⋊C4—21no—
629(C2×D47)⋊C4—21no—
630(C2×D47)⋊C4—21no—
631(C2×D47)⋊C4—21no—
632(C2×D47)⋊C4—21no—
633(C2×D47)⋊C4—21no—
634(C2×D47)⋊C4—21no—
635(C2×D47)⋊C4—21no—
636(C2×D47)⋊C4—21no—
637(C2×D47)⋊C4—21no—
638(C2×D47)⋊C4—21no—
639(C2×D47)⋊C4—21no—
640(C2×D47)⋊C4—21no—
641(C2×D47)⋊C4—21no—
642(C2×D47)⋊C4—21no—
643(C2×D47)⋊C4—21no—
644(C2×D47)⋊C4—21no—
645(C2×D47)⋊C4—21no—
646(C2×D47)⋊C4—21no—
647(C2×D47)⋊C4—21no—
648(C2×D47)⋊C4—21no—
649(C2×D47)⋊C4—21no—
650(C2×D47)⋊C4C2×D411yescharacteristic
651(C2×D47)⋊C4C2×D411yescharacteristic
652(C2×D47)⋊C4C2×D411yescharacteristic
653(C2×D47)⋊C4C2×D411yescharacteristic
654C4⋊Dic47—21no—
655C4⋊Dic47—21no—
656C4⋊Dic47—21no—
657C4⋊Dic47—21no—
658C4⋊Dic47C2×D411yescharacteristic
659C4⋊Dic47C2×D411yescharacteristic
660C4⋊Dic47C2×D411yescharacteristic
661C4⋊Dic47C2411yescharacteristic
662C4⋊Dic47C2411yescharacteristic
663Dic47⋊C4—21no—
664Dic47⋊C4—21no—
665Dic47⋊C4—21no—
666Dic47⋊C4—21no—
667Dic47⋊C4—21no—
668Dic47⋊C4—21no—
669Dic47⋊C4—21no—
670Dic47⋊C4—21no—
671Dic47⋊C4—21no—
672Dic47⋊C4—21no—
673Dic47⋊C4—21no—
674Dic47⋊C4—21no—
675Dic47⋊C4C2×D411yescharacteristic
676Dic47⋊C4C2×D411yescharacteristic
677Dic47⋊C4C2×D411yescharacteristic
678Dic47⋊C4C2×D411yescharacteristic
679Dic47⋊C4C2×D411yescharacteristic
680Dic47⋊C4C2×D411yescharacteristic
681C4×Dic47—21no—
682C4×Dic47—21no—
683C4×Dic47—21no—
684C4×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—22no—
696D376—41no—
697D376—41no—
698#10625325—22no—
699#10625325—22no—
700#10625325—41no—
701#10625325—41no—
702#10625325—41no—
703#10625325—41no—
704#10625324—41no—
705C8×D47—41no—
706C23×C47—21no—
707C23×C47—21no—
708C23×C47C22×D411yescharacteristic
709C23×C47C22×D411yescharacteristic
710C22×D47—21no—
711C22×D47—21no—
712C22×D47—21no—
713C22×D47—21no—
714C22×D47—42no—
715C22×D47—42no—
716C22×D47—42no—
717C22×D47—81no—
718C22×D47—81no—
719C22×D47—81no—
720C22×D47—81no—
721C22×D47—81no—
722C22×D47—81no—
723C22×D47C22×D411yescharacteristic
724Q8×C47—21no—
725Q8×C47—21no—
726Q8×C47—21no—
727Q8×C47—21no—
728D4×C47—21no—
729D4×C47—21no—
730D4×C47—21no—
731D4×C47—21no—
732D4×C47—41no—
733D4×C47—81no—
734D4×C47—81no—
735D4×C47—81no—
736D4×C47—81no—
737D4×C47—81no—
738D4×C47—81no—
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—21no—
748C2×C4×C47—21no—
749C2×C4×C47—42no—
750C2×C4×C47—81no—
751C2×C4×C47—81no—
752C2×C4×C47C22×D411yescharacteristic
753C2×C4×C47C22×D411yescharacteristic
754C2×C4×C47C22×D411yescharacteristic
755C2×C4×C47C22×D411yescharacteristic
756C2×C4×C47C2511yescharacteristic
757C22⋊D47—41no—
758C22⋊D47—41no—
759C22⋊D47—42no—
760C22⋊D47—81no—
761C22⋊D47—81no—
762C22⋊D47—81no—
763C22⋊D47—81no—
764C22⋊D47—81no—
765C22⋊D47—81no—
766C22⋊D47—81no—
767C2×Dic47—21no—
768C2×Dic47—21no—
769C2×Dic47—21no—
770C2×Dic47—21no—
771C2×Dic47—41no—
772C2×Dic47—41no—
773C2×Dic47—81no—
774C2×Dic47—81no—
775C2×Dic47—81no—
776C2×Dic47—81no—
777C2×Dic47C22×D411yescharacteristic
778C2×Dic47C22×D411yescharacteristic
779C2×Dic47C22×D411yescharacteristic
780C2×Dic47C22×D411yescharacteristic
781C2×Dic47C22×D411yescharacteristic
782C2×Dic47C22×D411yescharacteristic
783C2×Dic47C22×D411yescharacteristic
784D188—21no—
785D188—21no—
786D188—21no—
787D188—21no—
788D188—21no—
789D188—21no—
790D188—21no—
791D188—42no—
792D188—42no—
793D188—42no—
794D188—81no—
795D188—81no—
796D188—81no—
797D188—81no—
798D188H(5,𝔽2)12yes—
799C4×D47—21no—
800C4×D47—21no—
801C4×D47—42no—
802C4×D47—81no—
803C4×D47—81no—
804C4×D47—81no—
805C4×D47—81no—
806C4×D47—81no—
807C4×D47—81no—
808C4×D47—81no—
809C4×D47—81no—
810C4×D47—81no—
811C4×D47—81no—
812C4×D47—81no—
813Dic94—21no—
814Dic94—21no—
815Dic94—21no—
816Dic94—21no—
817Dic94—41no—
818Dic94—81no—
819Dic94—81no—
820C8×C47—21no—
821C8×C47—21no—
822C8×C47—21no—
823C8×C47—21no—
824C47⋊C8—21no—
825C47⋊C8—21no—
826C47⋊C8—21no—
827C47⋊C8—21no—
828#62027—471nomaximal, Sylow
829C22×C47—21no—
830C22×C47—21no—
831C22×C47—21no—
832C22×C47—21no—
833C22×C47—21no—
834C22×C47—21no—
835C22×C47—41no—
836C22×C47—41no—
837C22×C47—41no—
838C22×C47—41no—
839C22×C47—41no—
840C22×C47—41no—
841C22×C47C23×D411yescharacteristic
842C2×D47—21no—
843C2×D47—21no—
844C2×D47—21no—
845C2×D47—22no—
846C2×D47—41no—
847C2×D47—41no—
848C2×D47—41no—
849C2×D47—41no—
850C2×D47—41no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—84no—
858C2×D47—162no—
859C2×D47—162no—
860C4×C47—21no—
861C4×C47—21no—
862C4×C47—21no—
863C4×C47—21no—
864C4×C47—41no—
865C4×C47—41no—
866C4×C47—41no—
867C4×C47—41no—
868C4×C47—41no—
869C4×C47—41no—
870C4×C47C2×H(5,𝔽2)11yescharacteristic
871C4×C47#58511yescharacteristic
872Dic47—21no—
873Dic47—21no—
874Dic47—21no—
875Dic47—21no—
876Dic47—21no—
877Dic47—21no—
878Dic47—21no—
879Dic47—41no—
880Dic47—41no—
881Dic47—41no—
882Dic47—41no—
883#3562—471no—
884#3513—471no—
885#3401—471no—
886#3396—471no—
887#3370—471no—
888#3360—471no—
889#3330—471no—
890#3327—471no—
891#3326—471no—
892#3317D4711yescharacteristic, complemented
893#3306—471no—
894#3297—471no—
895#3282—471no—
896#3274—471no—
897#3273—471no—
898#3273—471no—
899#3267—471no—
900#3265—471no—
901#3260—471no—
902#3257—471no—
903#3256—471no—
904#3225—471no—
905#3220—471no—
906#3212—471no—
907#3122—471no—
908#3120—471no—
909#3105—471no—
910#3045—471no—
911#3042—471no—
912#3036—471no—
913#2993—471no—
914C2×C47—41no—
915C2×C47—41no—
916C2×C47—81no—
917C2×C47—81no—
918C2×C47#348811yescharacteristic
919C2×C47#358411yescharacteristic
920C2×C47#358511yescharacteristic
921D47—41no—
922D47—42no—
923D47—81no—
924D47—81no—
925D47—81no—
926C2×AGL(1,ℤ/8)—471no—
927C2×AGL(1,ℤ/8)—471no—
928C2×AGL(1,ℤ/8)—471no—
929C2×AGL(1,ℤ/8)—471no—
930C2×#135—471no—
931C22×SD16—471no—
932#562—941no—
933#560—941no—
934#559—471no—
935#559—471no—
936#556—471no—
937#554—471no—
938#553—471no—
939#553—941no—
940#553—941no—
941#552C2×D4711yescharacteristic, complemented
942#551—941no—
943#551—941no—
944#551—941no—
945#550C2×D4711yescharacteristic
946#548—471no—
947#548—471no—
948#547—471no—
949#547—471no—
950#546—471no—
951#546—471no—
952#546—471no—
953#546—471no—
954#546—941no—
955D42—471no—
956#542—471no—
957#541—471no—
958#540—471no—
959#540—471no—
960#540—941no—
961#539—941no—
962#539—941no—
963#538—941no—
964#538—941no—
965#538—941no—
966#536—471no—
967#535—471no—
968#532—471no—
969#529—471no—
970#529—471no—
971#529—471no—
972#525—941no—
973C2×#123—941no—
974#520—471no—
975#518—471no—
976C2×C4×D4—471no—
977#497—471no—
978#496—471no—
979#495—471no—
980#495—471no—
981#495—471no—
982#493—471no—
983#490C2×D4711yescharacteristic, complemented
984#489—471no—
985#488—471no—
986#488—471no—
987#488—471no—
988#487—471no—
989#484—471no—
990#484—471no—
991#483—471no—
992#482—471no—
993#482C2×D4711yescharacteristic, complemented
994#481C2×D4711yescharacteristic, complemented
995#479—471no—
996#479—471no—
997#479—471no—
998#479C2×D4711yescharacteristic, complemented
999#478—471no—
1000#478—471no—
1001#478—471no—
1002#478—471no—
1003#476—471no—
1004#474—471no—
1005#470—471no—
1006#469—471no—
1007#469—471no—
1008#468—471no—
1009#468—471no—
1010#468—471no—
1011#468—471no—
1012#468C2×D4711yescharacteristic, complemented
1013#466—471no—
1014#465—471no—
1015#465—471no—
1016#465C2×D4711yescharacteristic, complemented
1017#464—471no—
1018#464—471no—
1019#464—471no—
1020#463—471no—
1021#463—471no—
1022#463—471no—
1023#463—471no—
1024#463—471no—
1025#463—471no—
1026#463—471no—
1027#463—471no—
1028#463—471no—
1029#463—471no—
1030#463—471no—
1031#463—471no—
1032#463—471no—
1033#462—471no—
1034#461—471no—
1035#461—471no—
1036#461—471no—
1037#461—471no—
1038#461—471no—
1039#460—471no—
1040#460—471no—
1041#460—471no—
1042#460C2×D4711yescharacteristic, complemented
1043#459—471no—
1044#459—471no—
1045#459—471no—
1046#459—471no—
1047#452—471no—
1048#452—471no—
1049#452—471no—
1050#452C2×D4711yescharacteristic, complemented
1051#452C2×D4711yescharacteristic, complemented
1052#451—471no—
1053#450—471no—
1054#449—471no—
1055#449—471no—
1056#449—471no—
1057#449—471no—
1058#449—471no—
1059#448—471no—
1060#447—471no—
1061#447—471no—
1062#447—471no—
1063#447—471no—
1064#447—471no—
1065#446—471no—
1066C8×Q8—471no—
1067#442—471no—
1068#442—471no—
1069#441C2×D4711yescharacteristic, complemented
1070#440—471no—
1071C4×Q16—471no—
1072C4×SD16—471no—
1073C4×SD16—471no—
1074C4×SD16—471no—
1075C4×D8—471no—
1076C4×D8—471no—
1077C4×D8—471no—
1078C4×D8—471no—
1079#436—471no—
1080#436—471no—
1081#436—471no—
1082#435—471no—
1083#435C2×D4711yescharacteristic, complemented
1084C8×D4—471no—
1085#433—471no—
1086#433—471no—
1087#431—471no—
1088#424—471no—
1089#424—471no—
1090#423—471no—
1091#419—471no—
1092#417—471no—
1093#417—471no—
1094#417C2×D4711yescharacteristic, complemented
1095#416C2×D4711yescharacteristic, complemented
1096C2×#102—471no—
1097C47#6202711yescharacteristic, complemented, Sylow
1098C2×#41—471no—
1099C2×#41—471no—
1100C2×#41—471no—
1101C2×#41—941no—
1102C2×#41C22×D4711yescharacteristic
1103C2×#41C22×D4711yescharacteristic
1104C22×Q8—471no—
1105C22×D4—471no—
1106C22×D4—471no—
1107C22×D4—471no—
1108C22×D4—941no—
1109C23×C4—941no—
1110AGL(1,ℤ/8)—1882no—
1111AGL(1,ℤ/8)—1882no—
1112AGL(1,ℤ/8)—1882no—
1113AGL(1,ℤ/8)—1882no—
1114#135—1882no—
1115C2×Q16—471no—
1116C2×Q16—471no—
1117C2×Q16C22×D4711yescharacteristic
1118C2×SD16—471no—
1119C2×SD16—471no—
1120C2×SD16—471no—
1121C2×SD16—471no—
1122C2×SD16—471no—
1123C2×SD16—471no—
1124C2×SD16—471no—
1125C2×SD16—471no—
1126C2×SD16—471no—
1127C2×SD16—471no—
1128C2×SD16—1882no—
1129C2×SD16C22×D4711yescharacteristic
1130C2×SD16C22×D4711yescharacteristic
1131C2×D8—471no—
1132C2×D8—471no—
1133C2×D8—471no—
1134C2×D8—471no—
1135C2×D8—471no—
1136C2×D8—471no—
1137C2×D8—471no—
1138C2×D8—471no—
1139C2×D8—471no—
1140C2×M16—471no—
1141C2×M16—471no—
1142C2×M16—471no—
1143C2×M16C22×D4711yescharacteristic
1144C22×C8—471no—
1145C22×C8C22×D4711yescharacteristic
1146C4⋊Q8—471no—
1147C4⋊Q8—471no—
1148C4⋊Q8—471no—
1149#127—21no—
1150#127—471no—
1151#127—471no—
1152#127C22×D4711yescharacteristic
1153#126—21no—
1154#126—471no—
1155#126—471no—
1156#126—941no—
1157#126—941no—
1158#126—941no—
1159#126—941no—
1160#126—941no—
1161#126—941no—
1162#126—941no—
1163#126—941no—
1164#125—21no—
1165#125—471no—
1166#125—471no—
1167#125—471no—
1168#125—941no—
1169#125—941no—
1170#125C22×D4711yescharacteristic
1171#124—471no—
1172#124—471no—
1173#124—471no—
1174#124—471no—
1175#124—471no—
1176#124—471no—
1177#124—471no—
1178#124—471no—
1179#124—941no—
1180#124—941no—
1181#124—941no—
1182#124—941no—
1183#124—941no—
1184#123—21no—
1185#123—471no—
1186#123—471no—
1187#123—941no—
1188#123—941no—
1189#123—941no—
1190#123—941no—
1191#123—941no—
1192#123—941no—
1193#123—941no—
1194#123—941no—
1195#123—941no—
1196#123—941no—
1197#123—941no—
1198#123—941no—
1199#123—941no—
1200#123—941no—
1201#123—941no—
1202#123—941no—
1203#123—941no—
1204#123—941no—
1205#123—941no—
1206#123—941no—
1207#123—941no—
1208#123—941no—
1209C22⋊Q8—471no—
1210C22⋊Q8—471no—
1211C22⋊Q8—471no—
1212C22⋊Q8—471no—
1213C22⋊Q8—941no—
1214C22⋊Q8—941no—
1215C22⋊Q8—941no—
1216C22⋊Q8—941no—
1217C22⋊Q8—941no—
1218C22⋊Q8—941no—
1219C22⋊Q8—941no—
1220C22⋊Q8—941no—
1221C22⋊Q8—941no—
1222C22⋊Q8—941no—
1223C22⋊Q8C22×D4711yescharacteristic
1224C22⋊Q8C22×D4711yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—471no—
1228#121—471no—
1229#121—471no—
1230#121—471no—
1231#121—471no—
1232#121—471no—
1233#121—941no—
1234#121—941no—
1235#121—941no—
1236#121—941no—
1237#121—941no—
1238#121—941no—
1239#121—941no—
1240#121—941no—
1241#121—941no—
1242#121—941no—
1243#121—941no—
1244#121—941no—
1245#121—941no—
1246#121—941no—
1247#121—941no—
1248#121—941no—
1249#121—941no—
1250#121C22×D4711yescharacteristic
1251#121C22×D4711yescharacteristic
1252#120—941no—
1253#120—941no—
1254#120—941no—
1255#120—941no—
1256#120—941no—
1257#120—941no—
1258#120—941no—
1259#120—941no—
1260C4×Q8—471no—
1261C4×Q8—471no—
1262C4×Q8—471no—
1263C4×Q8—471no—
1264C4×Q8C22×D4711yescharacteristic
1265C4×Q8C22×D4711yescharacteristic
1266C4×D4—21no—
1267C4×D4—471no—
1268C4×D4—471no—
1269C4×D4—471no—
1270C4×D4—471no—
1271C4×D4—471no—
1272C4×D4—471no—
1273C4×D4—471no—
1274C4×D4—471no—
1275C4×D4—471no—
1276C4×D4—471no—
1277C4×D4—471no—
1278C4×D4—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×D4—941no—
1290C4×D4—941no—
1291C4×D4—941no—
1292C4×D4—941no—
1293C4×D4—941no—
1294C4×D4—941no—
1295C4×D4C22×D4711yescharacteristic
1296#117—21no—
1297#117—471no—
1298#117—471no—
1299#117—941no—
1300#117—941no—
1301#117—941no—
1302#117—941no—
1303#117C22×D4711yescharacteristic
1304C2×C4⋊C4—471no—
1305C2×C4⋊C4—941no—
1306C2×C4⋊C4—941no—
1307C2×C4⋊C4—941no—
1308C2×C4⋊C4C22×D4711yescharacteristic
1309C2×C22⋊C4—941no—
1310C2×C22⋊C4—941no—
1311C2×C22⋊C4—941no—
1312C2×C22⋊C4—941no—
1313C2×C22⋊C4—941no—
1314C2×C22⋊C4—941no—
1315C2×C22⋊C4—941no—
1316C2×C42—471no—
1317#107—471no—
1318#107—471no—
1319#107—471no—
1320#107C22×D4711yescharacteristic
1321#106—471no—
1322#106—471no—
1323#106C22×D4711yescharacteristic
1324#106C22×D4711yescharacteristic
1325C4⋊C8—471no—
1326C4⋊C8—471no—
1327C4⋊C8—471no—
1328C4⋊C8—471no—
1329C4⋊C8—471no—
1330C4⋊C8—471no—
1331C4⋊C8—471no—
1332C4⋊C8—471no—
1333C4⋊C8—471no—
1334C4⋊C8C22×D4711yescharacteristic
1335#103—471no—
1336#103—471no—
1337#103—471no—
1338#103—471no—
1339#103—471no—
1340#103—471no—
1341#103—471no—
1342#103—471no—
1343#103—471no—
1344#103—471no—
1345#103C22×D4711yescharacteristic
1346#103C22×D4711yescharacteristic
1347#103C22×D4711yescharacteristic
1348#103C22×D4711yescharacteristic
1349#102—471no—
1350#102—471no—
1351#102—471no—
1352#102—471no—
1353#102—471no—
1354#102—471no—
1355#102—471no—
1356#102—471no—
1357#102—471no—
1358#102—471no—
1359#102—471no—
1360#102—471no—
1361#102C22×D4711yescharacteristic
1362#102C22×D4711yescharacteristic
1363#102C22×D4711yescharacteristic
1364#102C22×D4711yescharacteristic
1365#102C22×D4711yescharacteristic
1366#102C22×D4711yescharacteristic
1367C22⋊C8—471no—
1368C22⋊C8—471no—
1369C22⋊C8—471no—
1370C22⋊C8—471no—
1371C22⋊C8C22×D4711yescharacteristic
1372C22⋊C8C22×D4711yescharacteristic
1373#97—471no—
1374#97C22×D4711yescharacteristic
1375C4×C8—471no—
1376C4×C8—471no—
1377C4×C8—471no—
1378C4×C8—471no—
1379C24—941no—
1380C24—941no—
1381C24—941no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—942no—
1387#41—3762no—
1388#41—1881no—
1389#41—1881no—
1390#41—1881no—
1391#41—1881no—
1392#41—1881no—
1393C2×Q8—471no—
1394C2×Q8—471no—
1395C2×Q8—471no—
1396C2×Q8—941no—
1397C2×Q8—941no—
1398C2×Q8—1881no—
1399C2×Q8—1881no—
1400C2×Q8C23×D4711yescharacteristic
1401C2×Q8C23×D4711yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—471no—
1409C2×D4—471no—
1410C2×D4—471no—
1411C2×D4—471no—
1412C2×D4—471no—
1413C2×D4—471no—
1414C2×D4—942no—
1415C2×D4—942no—
1416C2×D4—941no—
1417C2×D4—941no—
1418C2×D4—941no—
1419C2×D4—941no—
1420C2×D4—941no—
1421C2×D4—941no—
1422C2×D4—941no—
1423C2×D4—941no—
1424C2×D4—941no—
1425C2×D4—941no—
1426C2×D4—941no—
1427C2×D4—941no—
1428C2×D4—941no—
1429C2×D4—941no—
1430C2×D4—941no—
1431C2×D4—3762no—
1432C2×D4—1881no—
1433C2×D4—1881no—
1434C2×D4—1881no—
1435C2×D4—1881no—
1436C2×D4D4×D4711yescharacteristic
1437C2×D4C23×D4711yescharacteristic
1438C2×D4C23×D4711yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—471no—
1443C22×C4—471no—
1444C22×C4—471no—
1445C22×C4—941no—
1446C22×C4—941no—
1447C22×C4—941no—
1448C22×C4—941no—
1449C22×C4—941no—
1450C22×C4—941no—
1451C22×C4—941no—
1452C22×C4—941no—
1453C22×C4—941no—
1454C22×C4—941no—
1455C22×C4—941no—
1456C22×C4—941no—
1457C22×C4—941no—
1458C22×C4—941no—
1459C22×C4—941no—
1460C22×C4—941no—
1461C22×C4—3762no—
1462C22×C4C23×D4711yescharacteristic
1463C22×C4C23×D4711yescharacteristic
1464Q16—41no—
1465Q16—1881no—
1466Q16—1881no—
1467SD16—41no—
1468SD16—41no—
1469SD16—942no—
1470SD16—942no—
1471SD16—942no—
1472SD16—1881no—
1473SD16—1881no—
1474SD16—1881no—
1475SD16—1881no—
1476SD16—1881no—
1477SD16—1881no—
1478SD16—1881no—
1479D8—942no—
1480D8—942no—
1481D8—942no—
1482D8—1881no—
1483D8—1881no—
1484D8—1881no—
1485D8—1881no—
1486D8—1881no—
1487D8—1881no—
1488M16—41no—
1489M16—1881no—
1490M16—1881no—
1491M16—1881no—
1492C2×C8—41no—
1493C2×C8—471no—
1494C2×C8—471no—
1495C2×C8—471no—
1496C2×C8—471no—
1497C2×C8—1881no—
1498C2×C8C23×D4711yescharacteristic
1499C2×C8C23×D4711yescharacteristic
1500C2×C8C23×D4711yescharacteristic
1501C2×C8C23×D4711yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—471no—
1510C4⋊C4—471no—
1511C4⋊C4—471no—
1512C4⋊C4—471no—
1513C4⋊C4—471no—
1514C4⋊C4—471no—
1515C4⋊C4—471no—
1516C4⋊C4—471no—
1517C4⋊C4—471no—
1518C4⋊C4—471no—
1519C4⋊C4—471no—
1520C4⋊C4—941no—
1521C4⋊C4—941no—
1522C4⋊C4—941no—
1523C4⋊C4—941no—
1524C4⋊C4—941no—
1525C4⋊C4—941no—
1526C4⋊C4—941no—
1527C4⋊C4—941no—
1528C4⋊C4—941no—
1529C4⋊C4—941no—
1530C4⋊C4—941no—
1531C4⋊C4—941no—
1532C4⋊C4—941no—
1533C4⋊C4—941no—
1534C4⋊C4—941no—
1535C4⋊C4—941no—
1536C4⋊C4D4×D4711yescharacteristic
1537C4⋊C4C23×D4711yescharacteristic
1538C4⋊C4C23×D4711yescharacteristic
1539C4⋊C4C23×D4711yescharacteristic
1540C4⋊C4C23×D4711yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—471no—
1547C22⋊C4—471no—
1548C22⋊C4—471no—
1549C22⋊C4—471no—
1550C22⋊C4—471no—
1551C22⋊C4—471no—
1552C22⋊C4—471no—
1553C22⋊C4—471no—
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⋊C4—941no—
1573C22⋊C4—941no—
1574C22⋊C4—941no—
1575C22⋊C4—941no—
1576C22⋊C4—941no—
1577C22⋊C4—941no—
1578C22⋊C4—941no—
1579C22⋊C4—941no—
1580C22⋊C4—941no—
1581C22⋊C4—941no—
1582C22⋊C4—941no—
1583C22⋊C4—941no—
1584C22⋊C4—941no—
1585C22⋊C4—941no—
1586C22⋊C4—941no—
1587C22⋊C4D4×D4711yescharacteristic
1588C22⋊C4D4×D4711yescharacteristic
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—471no—
1593C42—471no—
1594C42—471no—
1595C42—471no—
1596C42—471no—
1597C42—941no—
1598C42—941no—
1599C42—941no—
1600C42C23×D4711yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—471no—
1604C23—941no—
1605C23—941no—
1606C23—941no—
1607C23—941no—
1608C23—3761no—
1609C23—3761no—
1610C23—3761no—
1611C23—3761no—
1612C23—3761no—
1613C23—3761no—
1614C23—1882no—
1615C23—1882no—
1616C23—1882no—
1617C23C2×D4×D4711yescharacteristic
1618C23C2×D4×D4711yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—941no—
1624Q8—941no—
1625Q8—941no—
1626Q8—941no—
1627Q8—3761no—
1628Q8—3761no—
1629Q8—1881no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—41no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—472no—
1642D4—941no—
1643D4—941no—
1644D4—941no—
1645D4—941no—
1646D4—941no—
1647D4—941no—
1648D4—941no—
1649D4—3761no—
1650D4—3761no—
1651D4—3761no—
1652D4—3761no—
1653D4—3761no—
1654D4—3761no—
1655D4—3761no—
1656D4—3761no—
1657D4—3761no—
1658D4—3761no—
1659D4—3761no—
1660D4—1882no—
1661D4—1882no—
1662D4—1882no—
1663D4—1881no—
1664D4—1881no—
1665D4—1882no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—42no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—471no—
1680C2×C4—471no—
1681C2×C4—471no—
1682C2×C4—471no—
1683C2×C4—471no—
1684C2×C4—471no—
1685C2×C4—471no—
1686C2×C4—941no—
1687C2×C4—941no—
1688C2×C4—941no—
1689C2×C4—941no—
1690C2×C4—941no—
1691C2×C4—941no—
1692C2×C4—3761no—
1693C2×C4—3761no—
1694C2×C4—3761no—
1695C2×C4—3761no—
1696C2×C4—3761no—
1697C2×C4—3761no—
1698C2×C4—3761no—
1699C2×C4—3761no—
1700C2×C4—3761no—
1701C2×C4—3761no—
1702C2×C4—3761no—
1703C2×C4—3761no—
1704C2×C4—3761no—
1705C2×C4—3761no—
1706C2×C4—3761no—
1707C2×C4—1882no—
1708C2×C4—1881no—
1709C2×C4—1881no—
1710C2×C4C2×D4×D4711yescharacteristic
1711C2×C4C2×D4×D4711yescharacteristic
1712C2×C4C2×D4×D4711yescharacteristic
1713C2×C4C2×D4×D4711yescharacteristic
1714C2×C4C24×D4711yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—941no—
1720C8—941no—
1721C8—941no—
1722C8—941no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—941no—
1736C22—942no—
1737C22—941no—
1738C22—941no—
1739C22—3764no—
1740C22—1881no—
1741C22—1881no—
1742C22—1881no—
1743C22—1881no—
1744C22—1881no—
1745C22—1881no—
1746C22—1881no—
1747C22—1881no—
1748C22—1881no—
1749C22—1881no—
1750C22—1881no—
1751C22—7522no—
1752C22—7522no—
1753C22C22×D4×D4711yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—941no—
1765C4—941no—
1766C4—941no—
1767C4—941no—
1768C4—941no—
1769C4—941no—
1770C4—941no—
1771C4—1881no—
1772C4—1881no—
1773C4—1881no—
1774C4—1881no—
1775C4H(5,𝔽2)×D4711yescharacteristic
1776C4#1568995911yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—81no—
1780C2—81no—
1781C2—3761no—
1782C2—3761no—
1783C2—3761no—
1784C2—1881no—
1785C2—1882no—
1786C2#2025705111yescharacteristic
1787C2#2025816011yescharacteristic
1788C2#2025816511yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3317C2
socleC22×C47C23×D4
hypercenter#3317D47
hypocenterC47#62027
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3317

Complements

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

NH ≅ G/Ntype
1. #20257962C2semidirect
2. #20257333C2semidirect
3. #20256455C2semidirect
4. #20256399C2semidirect
5. #20256136C2semidirect
6. #20256040C2semidirect
7. #20255689C2semidirect
8. #20255650C2semidirect
9. #20255639C2semidirect
10. #20255352C2semidirect
11. #20255239C2semidirect
12. #20255092C2semidirect
13. #20255008C2semidirect
14. #20254996C2semidirect
15. #20254992C2semidirect
16. #20254916C2semidirect
17. #20254888C2semidirect
18. #20254833C2semidirect
19. #20254802C2semidirect
20. #20254785C2semidirect
21. #20254501C2semidirect
22. #20254439C2semidirect
23. #20254367C2semidirect
24. #20253627C2semidirect
25. #20253600C2semidirect
26. #20253432C2semidirect
27. #20252924C2semidirect
28. #20252903C2semidirect
29. #20252851C2semidirect
30. #20252530C2semidirect
31. C47×#3317C2semidirect
35. C2×#13094049C22semidirect
37. C22×#10625325C22semidirect
40. #15689859C22semidirect
41. #15689858C22semidirect
42. #15689845C22semidirect
43. #15689829C22semidirect
51. #15689779C22semidirect
53. #15689772C22semidirect
54. #15689770C22semidirect
58. #15689761C22semidirect
59. D4×D188C22semidirect
60. #15689746C22semidirect
61. #15689731C22semidirect
64. #15689726C22semidirect
70. #15689694C22semidirect
71. #15689686C22semidirect
72. #15689669C22semidirect
73. #15689659C22semidirect
74. #15689654C22semidirect
79. #15689597C22semidirect
80. C2×#13093986C22semidirect
81. #15689516C22semidirect
83. #15689508C22semidirect
84. #15689504C22semidirect
85. #15689504C22semidirect
87. #15689481C22semidirect
88. #15689480C22semidirect
89. #15689479C22semidirect
90. #15689476C22semidirect
91. #15689472C22semidirect
92. #15689458C22semidirect
93. #15689457C22semidirect
94. #15689455C22semidirect
95. #15689447C22semidirect
96. #15689432C22semidirect
97. #15689429C22semidirect
98. #15689427C22semidirect
99. #15689426C22semidirect
100. #15689422C22semidirect
101. #15689422C22semidirect
102. #15689421C22semidirect
103. #15689412C22semidirect
104. #15689401C22semidirect
105. #15689379C22semidirect
107. #15689374C22semidirect
108. #15689372C22semidirect
109. #15689371C22semidirect
110. #15689370C22semidirect
111. #15689369C22semidirect
113. #15689355C22semidirect
114. #15689353C22semidirect
115. #15689348C22semidirect
116. #15689345C22semidirect
117. #15689343C22semidirect
119. #15689341C22semidirect
120. #15689341C22semidirect
121. #15689340C22semidirect
122. #15689340C22semidirect
126. #15689337C22semidirect
127. #15689337C22semidirect
128. #15689337C22semidirect
129. #15689337C22semidirect
130. #15689337C22semidirect
131. #15689331C22semidirect
132. #15689327C22semidirect
133. #15689327C22semidirect
134. #15689327C22semidirect
135. #15689327C22semidirect
136. #15689327C22semidirect
137. #15689324C22semidirect
138. #15689323C22semidirect
139. #15689321C22semidirect
141. #15689317C22semidirect
142. #15689317C22semidirect
146. #15689283C22semidirect
147. #15689278C22semidirect
148. #15689276C22semidirect
150. #15689269C22semidirect
151. #15689269C22semidirect
153. #15689268C22semidirect
154. #15689264C22semidirect
156. #15689258C22semidirect
157. #15689258C22semidirect
159. #15689256C22semidirect
160. #15689251C22semidirect
161. #15689247C22semidirect
162. #15689234C22semidirect
163. #15689232C22semidirect
164. #15689225C22semidirect
165. C4×#10625337C22semidirect
166. C4×#10625336C22semidirect
167. #15689210C22semidirect
168. #15689210C22semidirect
171. #15689203C22semidirect
172. #15689203C22semidirect
173. #15689201C22semidirect
174. #15689199C22semidirect
175. #15689198C22semidirect
176. #15689197C22semidirect
177. C8×C22⋊D47C22semidirect
178. #15689185C22semidirect
179. #15689181C22semidirect
180. #15689173C22semidirect
181. #15689149C22semidirect
182. #15689148C22semidirect
183. #15689146C22semidirect
184. #15689131C22semidirect
185. #15689122C22semidirect
186. #15689121C22semidirect
187. #102×D47C22semidirect
188. C47×#552C22semidirect
190. C47×#490C22semidirect
191. C47×#482C22semidirect
192. C47×#481C22semidirect
193. C47×#479C22semidirect
194. C47×#468C22semidirect
195. C47×#465C22semidirect
196. C47×#460C22semidirect
197. C47×#452C22semidirect
198. C47×#452C22semidirect
199. C47×#441C22semidirect
200. C47×#435C22semidirect
201. C47×#417C22semidirect
202. C47×#416C22semidirect
892. #3317D47semidirect
941. #552C2×D47semidirect
983. #490C2×D47semidirect
993. #482C2×D47semidirect
994. #481C2×D47semidirect
998. #479C2×D47semidirect
1012. #468C2×D47semidirect
1016. #465C2×D47semidirect
1042. #460C2×D47semidirect
1050. #452C2×D47semidirect
1051. #452C2×D47semidirect
1069. #441C2×D47semidirect
1083. #435C2×D47semidirect
1094. #417C2×D47semidirect
1095. #416C2×D47semidirect
1097. C47#62027semidirect

Maximal subgroups

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

subgroupindex
#202579622
#202573332
#202564552
#202563992
#202561362
#202560402
#202556892
#202556502
#202556392
#202553522
#202552392
#202550922
#202550082
#202549962
#202549922
#202549162
#202548882
#202548332
#202548022
#202547852
#202545012
#202544392
#202543672
#202536272
#202536002
#202534322
#202529242
#202529032
#202528512
#202525302
C47×#33172
#6202747