Finite Group Databasebeta

← #27094191

Subgroups — #27094191

Order 12032.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257099C211yesmaximal, characteristic, complemented
2#20257062C211yesmaximal, characteristic, complemented
3#20255670C211yesmaximal, characteristic, complemented
4#20255669C211yesmaximal, characteristic, complemented
5#20255594C211yesmaximal, characteristic, complemented
6#20255582C211yesmaximal, characteristic, complemented
7#20255580C211yesmaximal, characteristic, complemented
8#20255568C211yesmaximal, characteristic, complemented
9#20255566C211yesmaximal, characteristic, complemented
10#20255565C211yesmaximal, characteristic, complemented
11#20255484C211yesmaximal, characteristic, complemented
12#20255480C211yesmaximal, characteristic, complemented
13#20255421C211yesmaximal, characteristic, complemented
14#20255420C211yesmaximal, characteristic, complemented
15#20255309C211yesmaximal, characteristic, complemented
16#20255278C211yesmaximal, characteristic, complemented
17#20255277C211yesmaximal, characteristic, complemented
18#20253748C211yesmaximal, characteristic, complemented
19#20253369C211yesmaximal, characteristic, complemented
20#485×D47C211yesmaximal, characteristic, complemented
21#20253245C211yesmaximal, characteristic, complemented
22#20253045C211yesmaximal, characteristic, complemented
23#20253011C211yesmaximal, characteristic, complemented
24#20252933C211yesmaximal, characteristic, complemented
25#20252701C211yesmaximal, characteristic, complemented
26#20252603C211yesmaximal, characteristic, complemented
27#20252258C211yesmaximal, characteristic, complemented
28#20252108C211yesmaximal, characteristic, complemented
29#20251917C211yesmaximal, characteristic, complemented
30#20251903C211yesmaximal, characteristic, complemented
31C47×#3303C211yesmaximal, characteristic, complemented
32C2×#13094071C2211yescharacteristic
33C2×#41×D47C2211yescharacteristic
34C2×#13094053C2211yescharacteristic, complemented
35C2×#13094045C2211yescharacteristic
36C2×#13094043C2211yescharacteristic
37C2×#13094030C2211yescharacteristic, complemented
38C22×#10625324C2211yescharacteristic
39#15689847C2211yescharacteristic
40#15689842—21no—
41#15689841C2211yescharacteristic
42#15689837C2211yescharacteristic, complemented
43#15689835—21no—
44#15689825C2211yescharacteristic
45#15689823C2211yescharacteristic
46#15689816—21no—
47#15689813C2211yescharacteristic, complemented
48#15689812C2211yescharacteristic, complemented
49#15689806—21no—
50#15689788C2211yescharacteristic
51#15689786C2211yescharacteristic
52#15689783C2211yescharacteristic
53#15689782C2211yescharacteristic
54#15689774—21no—
55#15689772C2211yescharacteristic
56#15689771—21no—
57#15689768C2211yescharacteristic
58#15689765—21no—
59#15689762—21no—
60#15689761C2211yescharacteristic
61#15689750C2211yescharacteristic, complemented
62#15689707—21no—
63#15689705—21no—
64#15689703C2211yescharacteristic
65#15689702C2211yescharacteristic, complemented
66#15689700—21no—
67#15689698C2211yescharacteristic
68#15689695—21no—
69#15689652—21no—
70#15689651—21no—
71#15689633C2211yescharacteristic
72#15689632C2211yescharacteristic
73#15689631—21no—
74C2×#13094002—21no—
75C22⋊Q8×D47C2211yescharacteristic
76#15689603C2211yescharacteristic, complemented
77#15689602C2211yescharacteristic
78#15689602C2211yescharacteristic, complemented
79#117×D47C2211yescharacteristic
80#15689491C2211yescharacteristic, complemented
81#15689490C2211yescharacteristic, complemented
82#15689485C2211yescharacteristic, complemented
83#15689484C2211yescharacteristic, complemented
84#15689479C2211yescharacteristic, complemented
85#15689478C2211yescharacteristic, complemented
86#15689472C2211yescharacteristic, complemented
87#15689467C2211yescharacteristic
88#15689466C2211yescharacteristic
89#15689465C2211yescharacteristic, complemented
90#15689464C2211yescharacteristic, complemented
91#15689463C2211yescharacteristic
92#15689463C2211yescharacteristic, complemented
93#15689462C2211yescharacteristic
94#15689461C2211yescharacteristic, complemented
95#15689457C2211yescharacteristic, complemented
96#15689456C2211yescharacteristic, complemented
97#15689449C2211yescharacteristic, complemented
98#15689447C2211yescharacteristic, complemented
99#15689438C2211yescharacteristic, complemented
100#15689437C2211yescharacteristic, complemented
101#15689433C2211yescharacteristic, complemented
102#15689431C2211yescharacteristic, complemented
103#15689423C2211yescharacteristic, complemented
104#15689421C2211yescharacteristic, complemented
105#15689411C2211yescharacteristic, complemented
106#15689407C2211yescharacteristic, complemented
107#15689405C2211yescharacteristic, complemented
108#15689382C2211yescharacteristic
109#15689380C2211yescharacteristic
110#15689380C2211yescharacteristic, complemented
111#15689379C2211yescharacteristic, complemented
112#15689375C2211yescharacteristic, complemented
113#15689374C2211yescharacteristic, complemented
114#15689368C2211yescharacteristic
115#15689366C2211yescharacteristic
116#15689364C2211yescharacteristic, complemented
117#15689362C2211yescharacteristic, complemented
118#15689353C2211yescharacteristic, complemented
119#15689352C2211yescharacteristic, complemented
120#15689350C2211yescharacteristic, complemented
121#15689349C2211yescharacteristic, complemented
122#15689348C2211yescharacteristic, complemented
123#15689346C2211yescharacteristic, complemented
124#15689340C2211yescharacteristic, complemented
125#15689338C2211yescharacteristic, complemented
126#15689332C2211yescharacteristic, complemented
127#15689330C2211yescharacteristic, complemented
128#15689326C2211yescharacteristic, complemented
129#15689287C2211yescharacteristic
130#15689286C2211yescharacteristic, complemented
131#15689285C2211yescharacteristic
132#15689285C2211yescharacteristic, complemented
133#15689281C2211yescharacteristic, complemented
134#15689280C2211yescharacteristic
135#15689280C2211yescharacteristic, complemented
136#15689275C2211yescharacteristic
137#15689266C2211yescharacteristic
138#15689265C2211yescharacteristic, complemented
139#15689261C2211yescharacteristic, complemented
140#15689260C2211yescharacteristic
141#15689260C2211yescharacteristic, complemented
142#15689255C2211yescharacteristic
143#15689223C2211yescharacteristic, complemented
144#15689223C2211yescharacteristic, complemented
145#15689220C2211yescharacteristic, complemented
146#15689220C2211yescharacteristic, complemented
147C4×Dic188C2211yescharacteristic, complemented
148#15689217C2211yescharacteristic, complemented
149D8×Dic47C2211yescharacteristic, complemented
150#15689202C2211yescharacteristic
151#15689198C2211yescharacteristic
152#15689195C2211yescharacteristic, complemented
153#15689194C2211yescharacteristic
154#15689194C2211yescharacteristic, complemented
155#15689193C2211yescharacteristic
156(C22⋊D47)⋊C8C2211yescharacteristic, complemented
157#15689162C2211yescharacteristic, complemented
158#107×D47C2211yescharacteristic, complemented
159#106×D47C2211yescharacteristic, complemented
160#15689148C2211yescharacteristic, complemented
161#15689131C2211yescharacteristic, complemented
162#15689130C2211yescharacteristic
163#15689130C2211yescharacteristic
164#15689130C2211yescharacteristic, complemented
165#15689130C2211yescharacteristic, complemented
166#15689126C2211yescharacteristic
167#15689126C2211yescharacteristic
168#15689124C2211yescharacteristic, complemented
169#15689123C2211yescharacteristic
170#15689123C2211yescharacteristic
171#15689121C2211yescharacteristic
172#15689121C2211yescharacteristic
173#15689121C2211yescharacteristic, complemented
174#15689121C2211yescharacteristic, complemented
175#15689120C2211yescharacteristic
176#15689119C2211yescharacteristic
177#15689118C2211yescharacteristic
178#15689117C2211yescharacteristic
179#15689116C2211yescharacteristic
180#15689116C2211yescharacteristic, complemented
181C2×#13093949C2211yescharacteristic, complemented
182#103×D47C2211yescharacteristic, complemented
183#103×D47C2211yescharacteristic, complemented
184#103×D47C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186C22⋊C8×D47C2211yescharacteristic
187#15689077C2211yescharacteristic, complemented
188C47×#555C2211yescharacteristic, complemented
189C47×#547C2211yescharacteristic
190C47×#487C2211yescharacteristic, complemented
191C47×#485C2211yescharacteristic, complemented
192C47×#485C2211yescharacteristic, complemented
193C47×#476C2211yescharacteristic, complemented
194C47×#465C2211yescharacteristic, complemented
195C47×#465C2211yescharacteristic, complemented
196C47×#461C2211yescharacteristic, complemented
197C47×#449C2211yescharacteristic
198C47×#449C2211yescharacteristic, complemented
199C4×D8×C47C2211yescharacteristic, complemented
200C8×D4×C47C2211yescharacteristic, complemented
201C47×#416C2211yescharacteristic
202C47×#416C2211yescharacteristic, complemented
203#13094071—24no—
204#13094071—42no—
205C2×#10625354C2311yescharacteristic
206C2×#10625350—21no—
207C2×#10625350—21no—
208C2×#10625350C2311yescharacteristic
209C2×#10625350C2311yescharacteristic
210C2×#10625352—21no—
211C2×#10625352—21no—
212C2×#10625352—21no—
213C2×#10625352C2311yescharacteristic
214C2×#10625352C2311yescharacteristic
215C2×#10625352C2311yescharacteristic
216#41×D47—24no—
217#41×D47—42no—
218C22×Dic94—21no—
219C22×Dic94C2311yescharacteristic
220C2×Q8×D47C2311yescharacteristic
221C2×Q8×D47C2311yescharacteristic
222C2×Q8×D47C2311yescharacteristic
223C2×D4×D47—21no—
224C2×D4×D47C2311yescharacteristic
225C22×C4×D47—21no—
226C22×C4×D47C2311yescharacteristic
227#13094053—42no—
228#13094045—42no—
229#13094043—24no—
230C2×Dic188C2311yescharacteristic
231C2×Dic188C2311yescharacteristic
232C2×#10625337C2311yescharacteristic
233C2×#10625337C2311yescharacteristic
234C2×#10625325C2311yescharacteristic
235C2×#10625335C2311yescharacteristic
236C2×#10625335C2311yescharacteristic
237C2×#10625335C2311yescharacteristic
238C2×#10625334C2311yescharacteristic
239#13094030—42no—
240C2×#10625329C2311yescharacteristic
241C2×#10625324—42no—
242C2×#10625324C2311yescharacteristic
243C2×#10625324C2311yescharacteristic
244C2×#10625324C2311yescharacteristic
245C2×#10625324C2311yescharacteristic
246C2×#10625324C2311yescharacteristic
247C22×C47⋊C8C2311yescharacteristic
248C2×C8×D47C2311yescharacteristic
249C2×C8×D47C2311yescharacteristic
250C2×C8×D47C2311yescharacteristic
251#13094023—21no—
252#13094023—21no—
253#13094023C2311yescharacteristic
254#13094022—21no—
255#13094022C2311yescharacteristic
256#13094019—21no—
257#13094019—21no—
258#13094018—21no—
259#13094017—21no—
260#13094017—21no—
261#13094017—21no—
262#13094017—21no—
263#13094017—21no—
264#13094016—21no—
265#13094016C2311yescharacteristic
266#13094015C2311yescharacteristic
267#13094014—21no—
268#13094014—21no—
269#13094013—21no—
270#13094013C2311yescharacteristic
271#13094012C2311yescharacteristic
272#13094011—21no—
273#13094010—21no—
274#13094010—21no—
275#13094010—21no—
276#13094010—21no—
277#13094009—21no—
278#13094009—21no—
279#13094009D411yescharacteristic
280#13094008—21no—
281#13094008—21no—
282#13094007—21no—
283#13094007—21no—
284#13094007—21no—
285#13094006—21no—
286#13094006—21no—
287#13094006D411yescharacteristic
288#13094005—21no—
289#13094005—21no—
290#13094004C2311yescharacteristic
291#13094004C2311yescharacteristic
292#13094004C2311yescharacteristic
293#13094003C2311yescharacteristic
294#13094003C2311yescharacteristic
295#13094003C2311yescharacteristic
296#13094002—21no—
297#13094002—21no—
298#13094002—21no—
299#13094002—21no—
300#13094002—21no—
301#13094002—21no—
302#13094002—21no—
303#13094002—21no—
304#13094002—21no—
305#13094002—21no—
306#13094002D411yescharacteristic
307#13094001—21no—
308#13094001—21no—
309#13094001—21no—
310#13094001D411yescharacteristic
311#13094000—21no—
312#13094000C2311yescharacteristic
313#13094000C2311yescharacteristic
314#13093999—21no—
315#13093999C2311yescharacteristic
316#13093998—21no—
317#13093998C2311yescharacteristic
318#13093997—21no—
319#13093997—21no—
320#13093997—21no—
321#13093997—21no—
322#13093997—21no—
323#13093997D411yescharacteristic
324#13093996—21no—
325#13093996—21no—
326#13093996—21no—
327#13093996—21no—
328#13093996—21no—
329#13093996—21no—
330#13093996D411yescharacteristic
331#13093995—21no—
332#13093995C2311yescharacteristic
333#13093995C2311yescharacteristic
334#13093994—21no—
335#13093994D411yescharacteristic
336#13093992—21no—
337#13093992—21no—
338#13093992D411yescharacteristic
339Q8×Dic47—21no—
340C4×Dic94—21no—
341C4×Dic94—21no—
342C4×Dic94C2311yescharacteristic
343C4×Dic94C2311yescharacteristic
344#13093989C2311yescharacteristic
345#13093989C2311yescharacteristic
346C4×D188—21no—
347C4×D188C2311yescharacteristic
348D4×Dic47—21no—
349D4×Dic47—21no—
350D4×Dic47C2311yescharacteristic
351D4×Dic47C2311yescharacteristic
352#13093986—21no—
353#13093986—21no—
354C4×C22⋊D47—21no—
355C4×C22⋊D47—21no—
356C4×C22⋊D47—21no—
357C4×C22⋊D47C2311yescharacteristic
358C4×C22⋊D47C2311yescharacteristic
359(C22⋊D47)⋊C4—21no—
360(C22⋊D47)⋊C4—21no—
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#13093982C2311yescharacteristic
368#13093982C2311yescharacteristic
369#13093982C2311yescharacteristic
370#13093982C2311yescharacteristic
371#13093981—21no—
372#13093981—21no—
373#13093981C2311yescharacteristic
374#13093980—21no—
375#13093980—21no—
376#13093980—21no—
377#13093980—21no—
378#13093980—21no—
379C2×C4⋊Dic47C2311yescharacteristic
380C2×Dic47⋊C4—21no—
381C2×Dic47⋊C4—21no—
382C2×Dic47⋊C4—21no—
383C4⋊C4×D47—21no—
384C4⋊C4×D47C2311yescharacteristic
385C4⋊C4×D47C2311yescharacteristic
386C4⋊C4×D47C2311yescharacteristic
387C4⋊C4×D47C2311yescharacteristic
388C2×(C2×D47)⋊C4—21no—
389C2×(C2×D47)⋊C4—21no—
390C22⋊C4×D47—21no—
391C22⋊C4×D47—21no—
392C42×D47—21no—
393#13093958C2311yescharacteristic
394#13093958C2311yescharacteristic
395#13093957C2311yescharacteristic
396#13093957C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093956C2311yescharacteristic
399#13093955C2311yescharacteristic
400#13093955C2311yescharacteristic
401#13093955C2311yescharacteristic
402C4⋊(C47⋊C8)C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405#13093949C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093948C2311yescharacteristic
417#13093948C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093947C2311yescharacteristic
421#13093947C2311yescharacteristic
422#13093947C2311yescharacteristic
423#13093947C2311yescharacteristic
424#13093947C2311yescharacteristic
425#13093946C2311yescharacteristic
426#13093946C2311yescharacteristic
427#13093946C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093945C2311yescharacteristic
430#13093945C2311yescharacteristic
431#13093945C2311yescharacteristic
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×SD16×C47C2311yescharacteristic
447C2×SD16×C47C2311yescharacteristic
448C2×D8×C47C2311yescharacteristic
449C22×C8×C47C2311yescharacteristic
450C22×C8×C47C2311yescharacteristic
451C4⋊Q8×C47C2311yescharacteristic
452C4⋊Q8×C47C2311yescharacteristic
453#124×C47—21no—
454#124×C47—21no—
455#123×C47—21no—
456#123×C47—21no—
457C22⋊Q8×C47C2311yescharacteristic
458C22⋊Q8×C47C2311yescharacteristic
459#121×C47—21no—
460#121×C47—21no—
461#121×C47C2311yescharacteristic
462#121×C47C2311yescharacteristic
463C4×D4×C47C2311yescharacteristic
464C4×D4×C47C2311yescharacteristic
465C4×D4×C47C2311yescharacteristic
466#117×C47—21no—
467#117×C47C2311yescharacteristic
468#117×C47C2311yescharacteristic
469C2×C4⋊C4×C47—21no—
470#107×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#102×C47C2311yescharacteristic
481#102×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484C22⋊C8×C47C2311yescharacteristic
485C22⋊C8×C47C2311yescharacteristic
486C4×C8×C47C2311yescharacteristic
487C23×D47—21no—
488C23×D47C2×D411yescharacteristic
489#41×C47—22no—
490#41×C47—22no—
491#41×C47—41no—
492#41×C47—41no—
493C2×Q8×C47—21no—
494C2×Q8×C47C2411yescharacteristic
495C2×Q8×C47C2411yescharacteristic
496C2×D4×C47—21no—
497C2×D4×C47—21no—
498C2×D4×C47—21no—
499C2×D4×C47—21no—
500C2×D4×C47C2×D411yescharacteristic
501C2×D4×C47C2411yescharacteristic
502C2×D4×C47C2411yescharacteristic
503C22×C4×C47—21no—
504C22×C4×C47—21no—
505C22×C4×C47—21no—
506C22×C4×C47—21no—
507C22×C4×C47C2411yescharacteristic
508C22×C4×C47C2411yescharacteristic
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⋊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×Dic47—21no—
525C22×Dic47—21no—
526C22×Dic47—21no—
527C22×Dic47—21no—
528C22×Dic47C2×D411yescharacteristic
529#10625354—22no—
530#10625354—22no—
531Q8×D47—22no—
532Q8×D47—22no—
533Q8×D47—22no—
534Q8×D47—22no—
535Q8×D47—41no—
536Q8×D47—41no—
537#10625352—22no—
538#10625352—22no—
539#10625352—22no—
540#10625352—22no—
541#10625352—41no—
542#10625352—44no—
543#10625352—44no—
544#10625352—44no—
545#10625352#4114yes—
546D4×D47—22no—
547D4×D47—41no—
548D4×D47—44no—
549#10625350—22no—
550#10625350—22no—
551#10625350—22no—
552#10625350—41no—
553#10625350—44no—
554#10625350—44no—
555C2×D188—21no—
556C2×D188—21no—
557C2×D188C2×D411yescharacteristic
558C2×D188C2×D411yescharacteristic
559C2×D188C2411yescharacteristic
560C2×C4×D47—22no—
561C2×C4×D47—22no—
562C2×C4×D47—21no—
563C2×C4×D47—21no—
564C2×C4×D47—21no—
565C2×C4×D47—21no—
566C2×C4×D47—21no—
567C2×C4×D47—21no—
568C2×C4×D47—21no—
569C2×C4×D47—21no—
570C2×C4×D47—21no—
571C2×C4×D47—44no—
572C2×C4×D47C2×D411yescharacteristic
573C2×C4×D47C2×D411yescharacteristic
574C2×C4×D47C2411yescharacteristic
575C2×C4×D47C2411yescharacteristic
576C2×C4×D47C2411yescharacteristic
577C2×Dic94—22no—
578C2×Dic94—21no—
579C2×Dic94—21no—
580C2×Dic94—21no—
581C2×Dic94—21no—
582C2×Dic94—21no—
583C2×Dic94—41no—
584C2×Dic94—44no—
585C2×Dic94C2×D411yescharacteristic
586C2×Dic94C2411yescharacteristic
587C2×Dic94C2411yescharacteristic
588C2×Dic94C2411yescharacteristic
589SD16×C47—41no—
590SD16×C47—41no—
591D8×C47—22no—
592C2×C8×C47—41no—
593C2×C8×C47—41no—
594C2×C8×C47C2411yescharacteristic
595C2×C8×C47C2411yescharacteristic
596C2×C8×C47C2411yescharacteristic
597C2×C8×C47C2411yescharacteristic
598C4⋊C4×C47—21no—
599C4⋊C4×C47—21no—
600C4⋊C4×C47—21no—
601C4⋊C4×C47—21no—
602C4⋊C4×C47—21no—
603C4⋊C4×C47C2×D411yescharacteristic
604C4⋊C4×C47C2411yescharacteristic
605C4⋊C4×C47C2411yescharacteristic
606C4⋊C4×C47C2411yescharacteristic
607C4⋊C4×C47C2411yescharacteristic
608C22⋊C4×C47—21no—
609C22⋊C4×C47—21no—
610C22⋊C4×C47—21no—
611C22⋊C4×C47—21no—
612C22⋊C4×C47—21no—
613C22⋊C4×C47—21no—
614C22⋊C4×C47—21no—
615C22⋊C4×C47—21no—
616C22⋊C4×C47C2×D411yescharacteristic
617C22⋊C4×C47C2×D411yescharacteristic
618C42×C47—21no—
619C42×C47—21no—
620C42×C47C2411yescharacteristic
621C22⋊Dic47—21no—
622C22⋊Dic47—21no—
623C22⋊Dic47—21no—
624C22⋊Dic47—21no—
625C22⋊Dic47—21no—
626C22⋊Dic47—21no—
627C22⋊Dic47—21no—
628C22⋊Dic47—21no—
629C22⋊Dic47C2×D411yescharacteristic
630C22⋊Dic47C2×D411yescharacteristic
631#10625337—41no—
632#10625337—41no—
633#10625335—22no—
634#10625335—22no—
635#10625335—41no—
636#10625334—41no—
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)⋊C4—21no—
651(C2×D47)⋊C4—21no—
652(C2×D47)⋊C4C2×D411yescharacteristic
653(C2×D47)⋊C4C2×D411yescharacteristic
654(C2×D47)⋊C4C2×D411yescharacteristic
655(C2×D47)⋊C4C2×D411yescharacteristic
656(C2×D47)⋊C4C2×D411yescharacteristic
657(C2×D47)⋊C4C2×D411yescharacteristic
658C4⋊Dic47—21no—
659C4⋊Dic47—21no—
660C4⋊Dic47—21no—
661C4⋊Dic47—21no—
662C4⋊Dic47—21no—
663C4⋊Dic47C2×D411yescharacteristic
664C4⋊Dic47C2411yescharacteristic
665C4⋊Dic47C2411yescharacteristic
666C4⋊Dic47C2411yescharacteristic
667C4⋊Dic47C2411yescharacteristic
668Dic47⋊C4—21no—
669Dic47⋊C4—21no—
670Dic47⋊C4—21no—
671Dic47⋊C4—21no—
672Dic47⋊C4—21no—
673Dic47⋊C4—21no—
674Dic47⋊C4—21no—
675Dic47⋊C4—21no—
676Dic47⋊C4—21no—
677Dic47⋊C4—21no—
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⋊C4C2×D411yescharacteristic
688Dic47⋊C4C2×D411yescharacteristic
689Dic47⋊C4C2×D411yescharacteristic
690Dic47⋊C4C2×D411yescharacteristic
691C4×Dic47—21no—
692C4×Dic47—21no—
693C4×Dic47—21no—
694C4×Dic47—21no—
695C4×Dic47—21no—
696C4×Dic47—21no—
697C4×Dic47—21no—
698C4×Dic47—21no—
699C4×Dic47—21no—
700C4×Dic47C2411yescharacteristic
701#10625329—41no—
702C2×C47⋊C8—41no—
703C2×C47⋊C8C2411yescharacteristic
704C2×C47⋊C8C2411yescharacteristic
705C2×C47⋊C8C2411yescharacteristic
706C2×C47⋊C8C2411yescharacteristic
707Dic188—22no—
708Dic188—41no—
709#10625325—41no—
710#10625324—22no—
711#10625324—22no—
712#10625324—41no—
713#10625324—41no—
714#10625324—41no—
715C8×D47—22no—
716C8×D47—22no—
717C8×D47—41no—
718C23×C47—21no—
719C23×C47—21no—
720C23×C47C22×D411yescharacteristic
721C23×C47C22×D411yescharacteristic
722C22×D47—22no—
723C22×D47—21no—
724C22×D47—41no—
725C22×D47—41no—
726C22×D47—42no—
727C22×D47—42no—
728C22×D47—81no—
729C22×D47C22×D411yescharacteristic
730C22×D47C22×D411yescharacteristic
731C22×D47C22×D411yescharacteristic
732Q8×C47—21no—
733Q8×C47—21no—
734Q8×C47—21no—
735Q8×C47—21no—
736Q8×C47—81no—
737D4×C47—21no—
738D4×C47—21no—
739D4×C47—21no—
740D4×C47—41no—
741D4×C47—42no—
742D4×C47—42no—
743D4×C47—81no—
744D4×C47—81no—
745D4×C47C2×#4112yes—
746C2×C4×C47—21no—
747C2×C4×C47—21no—
748C2×C4×C47—21no—
749C2×C4×C47—21no—
750C2×C4×C47—21no—
751C2×C4×C47—21no—
752C2×C4×C47—21no—
753C2×C4×C47—21no—
754C2×C4×C47—21no—
755C2×C4×C47—21no—
756C2×C4×C47—42no—
757C2×C4×C47—42no—
758C2×C4×C47—81no—
759C2×C4×C47—81no—
760C2×C4×C47C22×D411yescharacteristic
761C2×C4×C47C22×D411yescharacteristic
762C2×C4×C47C22×D411yescharacteristic
763C2×C4×C47C22×D411yescharacteristic
764C2×C4×C47C2511yescharacteristic
765C22⋊D47—22no—
766C22⋊D47—24no—
767C22⋊D47—22no—
768C22⋊D47—41no—
769C22⋊D47—41no—
770C22⋊D47—42no—
771C22⋊D47—42no—
772C22⋊D47—42no—
773C22⋊D47—42no—
774C22⋊D47—81no—
775C22⋊D47—81no—
776C22⋊D47—81no—
777C2×Dic47—21no—
778C2×Dic47—24no—
779C2×Dic47—22no—
780C2×Dic47—21no—
781C2×Dic47—21no—
782C2×Dic47—21no—
783C2×Dic47—21no—
784C2×Dic47—21no—
785C2×Dic47—21no—
786C2×Dic47—42no—
787C2×Dic47—42no—
788C2×Dic47—42no—
789C2×Dic47—81no—
790C2×Dic47—81no—
791C2×Dic47—81no—
792C2×Dic47C22×D411yescharacteristic
793C2×Dic47C22×D411yescharacteristic
794C2×Dic47C22×D411yescharacteristic
795C2×Dic47C22×D411yescharacteristic
796C2×Dic47C22×D411yescharacteristic
797D188—22no—
798D188—21no—
799D188—21no—
800D188—41no—
801D188—42no—
802D188—81no—
803C4×D47—22no—
804C4×D47—21no—
805C4×D47—21no—
806C4×D47—21no—
807C4×D47—21no—
808C4×D47—22no—
809C4×D47—42no—
810C4×D47—42no—
811C4×D47—42no—
812C4×D47—42no—
813C4×D47—42no—
814C4×D47—81no—
815C4×D47—81no—
816C4×D47—81no—
817C4×D47—81no—
818C4×D47C2×#4112yes—
819C4×D47H(5,𝔽2)12yes—
820Dic94—21no—
821Dic94—22no—
822Dic94—21no—
823Dic94—21no—
824Dic94—21no—
825Dic94—21no—
826Dic94—42no—
827Dic94—42no—
828Dic94—42no—
829Dic94—42no—
830Dic94—81no—
831Dic94C2×#4112yes—
832C8×C47—21no—
833C8×C47—21no—
834C8×C47—21no—
835C8×C47—21no—
836C47⋊C8—21no—
837C47⋊C8—21no—
838C47⋊C8—21no—
839C47⋊C8—21no—
840#61198—471nomaximal, Sylow
841C22×C47—21no—
842C22×C47—21no—
843C22×C47—21no—
844C22×C47—21no—
845C22×C47—22no—
846C22×C47—21no—
847C22×C47—21no—
848C22×C47—41no—
849C22×C47—41no—
850C22×C47—41no—
851C22×C47—41no—
852C22×C47—41no—
853C22×C47C23×D411yescharacteristic
854C2×D47—21no—
855C2×D47—21no—
856C2×D47—21no—
857C2×D47—21no—
858C2×D47—21no—
859C2×D47—21no—
860C2×D47—21no—
861C2×D47—21no—
862C2×D47—41no—
863C2×D47—41no—
864C2×D47—41no—
865C2×D47—82no—
866C2×D47—84no—
867C2×D47#54612yes—
868C4×C47—21no—
869C4×C47—21no—
870C4×C47—21no—
871C4×C47—21no—
872C4×C47—41no—
873C4×C47—41no—
874C4×C47—41no—
875C4×C47—41no—
876C4×C47—41no—
877C4×C47—41no—
878C4×C47C22×#4111yescharacteristic
879C4×C47C2×H(5,𝔽2)11yescharacteristic
880Dic47—21no—
881Dic47—21no—
882Dic47—21no—
883Dic47—22no—
884Dic47—21no—
885Dic47—41no—
886Dic47—41no—
887Dic47—41no—
888Dic47—41no—
889Dic47—41no—
890Dic47—41no—
891Dic47#54612yes—
892#3493—471no—
893#3489—471no—
894#3328—471no—
895#3328—471no—
896#3322—471no—
897#3322—471no—
898#3321—471no—
899#3321—471no—
900#3320—471no—
901#3320—471no—
902#3315—471no—
903#3315—471no—
904#3311—471no—
905#3311—471no—
906#3303—471no—
907#3303D4711yescharacteristic, complemented
908#3300—471no—
909#3300—471no—
910#3137—471no—
911#3098—471no—
912C2×#485—471no—
913#3084—471no—
914#3060—471no—
915#3056—471no—
916#3046—471no—
917#3013—471no—
918#3002—471no—
919#2951—471no—
920#2933—471no—
921#2898—471no—
922#2896—471no—
923C2×C47—41no—
924C2×C47—42no—
925C2×C47—41no—
926C2×C47—81no—
927C2×C47C2×#54611yescharacteristic
928C2×C47#358411yescharacteristic
929C2×C47#358611yescharacteristic
930D47—22no—
931D47—41no—
932D47—41no—
933D47—81no—
934C2×2−1+4—471no—
935C22×#41—471no—
936C2×#137—471no—
937C2×#135—471no—
938C2×#135—471no—
939C2×#131—471no—
940C22×M16—471no—
941#556—471no—
942#556—471no—
943#556—941no—
944#555—471no—
945#555—941no—
946#555C2×D4711yescharacteristic, complemented
947#553—471no—
948#553—471no—
949#553—941no—
950#552—471no—
951#552—471no—
952#552—941no—
953D4×Q8—471no—
954D4×Q8—471no—
955#548—471no—
956#548—471no—
957#547—471no—
958#547—941no—
959#547—941no—
960#547C2×D4711yescharacteristic
961#546—471no—
962#546—471no—
963#546—941no—
964#546—941no—
965#544—471no—
966#538—941no—
967#538—941no—
968#537—471no—
969#537—471no—
970#537—941no—
971#536—471no—
972#536—941no—
973#529—941no—
974#529—941no—
975#525—471no—
976#525—471no—
977#525—941no—
978C2×C22⋊Q8—471no—
979C2×C22⋊Q8—941no—
980#520—471no—
981#520—471no—
982#520—471no—
983C2×#117—471no—
984#491—471no—
985#491—471no—
986#489—471no—
987#489—471no—
988#488—471no—
989#488—471no—
990#487—471no—
991#487C2×D4711yescharacteristic, complemented
992#485—471no—
993#485—471no—
994#485—471no—
995#485—471no—
996#485—471no—
997#485—471no—
998#485—471no—
999#485—471no—
1000#485C2×D4711yescharacteristic, complemented
1001#485C2×D4711yescharacteristic, complemented
1002#484—471no—
1003#484—471no—
1004#482—471no—
1005#482—471no—
1006#480—471no—
1007#480—471no—
1008#479—471no—
1009#479—471no—
1010#478—471no—
1011#478—471no—
1012#476—471no—
1013#476C2×D4711yescharacteristic, complemented
1014#475—471no—
1015#475—471no—
1016#470—471no—
1017#470—471no—
1018#470—471no—
1019#470—471no—
1020#469—471no—
1021#469—471no—
1022#468—471no—
1023#468—471no—
1024#467—471no—
1025#467—471no—
1026#465—471no—
1027#465—471no—
1028#465—471no—
1029#465—471no—
1030#465C2×D4711yescharacteristic, complemented
1031#465C2×D4711yescharacteristic, complemented
1032#464—471no—
1033#464—471no—
1034#463—471no—
1035#463—471no—
1036#462—471no—
1037#462—471no—
1038#461—471no—
1039#461C2×D4711yescharacteristic, complemented
1040#452—471no—
1041#452—471no—
1042#452—471no—
1043#452—471no—
1044#451—471no—
1045#451—471no—
1046#451—471no—
1047#450—471no—
1048#449—471no—
1049#449—471no—
1050#449C2×D4711yescharacteristic
1051#449C2×D4711yescharacteristic, complemented
1052#448—471no—
1053#448—471no—
1054#448—471no—
1055#447—471no—
1056#440—471no—
1057#440—471no—
1058#440—471no—
1059#440—471no—
1060C4×Q16—471no—
1061C4×Q16—471no—
1062C4×D8—471no—
1063C4×D8C2×D4711yescharacteristic, complemented
1064#436—471no—
1065#436—471no—
1066#435—471no—
1067#435—471no—
1068#435—471no—
1069#435—471no—
1070C8×D4—471no—
1071C8×D4C2×D4711yescharacteristic, complemented
1072#428—471no—
1073C2×#107—471no—
1074C2×#106—471no—
1075#424—471no—
1076#419—471no—
1077#419—471no—
1078#419—471no—
1079#419—471no—
1080#419—471no—
1081#418—471no—
1082#418—471no—
1083#417—471no—
1084#417—471no—
1085#417—471no—
1086#417—471no—
1087#417—471no—
1088#417—471no—
1089#417—471no—
1090#416—471no—
1091#416—471no—
1092#416—471no—
1093#416—471no—
1094#416—471no—
1095#416—471no—
1096#416C2×D4711yescharacteristic
1097#416C2×D4711yescharacteristic, complemented
1098C2×#103—471no—
1099C2×#103—471no—
1100C2×#103—471no—
1101C2×#103—471no—
1102#408—471no—
1103C2×C22⋊C8—471no—
1104#405—471no—
1105C47#6119811yescharacteristic, complemented, Sylow
11062−1+4—944no—
11072−1+4—1882no—
1108C2×#41—471no—
1109C2×#41—471no—
1110C2×#41—471no—
1111C2×#41—471no—
1112C2×#41—471no—
1113C2×#41—471no—
1114C2×#41—941no—
1115C2×#41—941no—
1116C2×#41—941no—
1117C2×#41—941no—
1118C2×#41—941no—
1119C2×#41—944no—
1120C2×#41—1882no—
1121C2×#41C22×D4711yescharacteristic
1122C2×#41C22×D4711yescharacteristic
1123C22×Q8—471no—
1124C22×Q8—471no—
1125C22×Q8—471no—
1126C22×Q8—471no—
1127C22×Q8—941no—
1128C22×D4—471no—
1129C22×D4—941no—
1130C23×C4—471no—
1131C23×C4—941no—
1132#137—1882no—
1133#135—944no—
1134#135—1882no—
1135C2×Q16—471no—
1136C2×Q16—471no—
1137C2×Q16—471no—
1138C2×Q16—471no—
1139C2×SD16—471no—
1140C2×SD16—471no—
1141C2×SD16—471no—
1142C2×SD16—471no—
1143C2×SD16C22×D4711yescharacteristic
1144C2×SD16C22×D4711yescharacteristic
1145C2×D8—471no—
1146C2×D8C22×D4711yescharacteristic
1147#131—1882no—
1148C2×M16—471no—
1149C2×M16—471no—
1150C2×M16—471no—
1151C2×M16—471no—
1152C2×M16—471no—
1153C2×M16—471no—
1154C2×M16—1882no—
1155C22×C8—471no—
1156C22×C8—471no—
1157C22×C8—471no—
1158C22×C8—471no—
1159C22×C8C22×D4711yescharacteristic
1160C22×C8C22×D4711yescharacteristic
1161C4⋊Q8—471no—
1162C4⋊Q8—471no—
1163C4⋊Q8—941no—
1164C4⋊Q8—941no—
1165C4⋊Q8—941no—
1166C4⋊Q8C22×D4711yescharacteristic
1167C4⋊Q8C22×D4711yescharacteristic
1168#126—941no—
1169#126—941no—
1170#126—941no—
1171#126—941no—
1172#126—941no—
1173#126—941no—
1174#126—941no—
1175#126—941no—
1176#125—471no—
1177#125—471no—
1178#125—941no—
1179#125—941no—
1180#125—941no—
1181#124—21no—
1182#124—21no—
1183#124—471no—
1184#124—471no—
1185#124—941no—
1186#124—941no—
1187#124—941no—
1188#124—941no—
1189#124—941no—
1190#124—941no—
1191#123—21no—
1192#123—21no—
1193#123—471no—
1194#123—471no—
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—
1206C22⋊Q8—471no—
1207C22⋊Q8—471no—
1208C22⋊Q8—471no—
1209C22⋊Q8—471no—
1210C22⋊Q8—471no—
1211C22⋊Q8—471no—
1212C22⋊Q8—471no—
1213C22⋊Q8—471no—
1214C22⋊Q8—471no—
1215C22⋊Q8—471no—
1216C22⋊Q8—941no—
1217C22⋊Q8—941no—
1218C22⋊Q8—941no—
1219C22⋊Q8—941no—
1220C22⋊Q8—941no—
1221C22⋊Q8—941no—
1222C22⋊Q8—941no—
1223C22⋊Q8—941no—
1224C22⋊Q8—941no—
1225C22⋊Q8—941no—
1226C22⋊Q8—941no—
1227C22⋊Q8—941no—
1228C22⋊Q8—941no—
1229C22⋊Q8—941no—
1230C22⋊Q8C22×D4711yescharacteristic
1231C22⋊Q8C22×D4711yescharacteristic
1232#121—21no—
1233#121—21no—
1234#121—471no—
1235#121—471no—
1236#121—471no—
1237#121—471no—
1238#121—471no—
1239#121—471no—
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#121—941no—
1251#121—941no—
1252#121—941no—
1253#121—941no—
1254#121C22×D4711yescharacteristic
1255#121C22×D4711yescharacteristic
1256#120—471no—
1257#120—471no—
1258#120—941no—
1259#120—941no—
1260#120—941no—
1261C4×Q8—471no—
1262C4×Q8—471no—
1263C4×Q8—471no—
1264C4×Q8—471no—
1265C4×Q8—941no—
1266C4×Q8—941no—
1267C4×Q8—941no—
1268C4×D4—471no—
1269C4×D4—471no—
1270C4×D4—471no—
1271C4×D4—471no—
1272C4×D4—471no—
1273C4×D4—941no—
1274C4×D4—941no—
1275C4×D4—941no—
1276C4×D4—941no—
1277C4×D4—941no—
1278C4×D4—941no—
1279C4×D4—941no—
1280C4×D4—941no—
1281C4×D4—941no—
1282C4×D4—941no—
1283C4×D4—941no—
1284C4×D4—941no—
1285C4×D4—941no—
1286C4×D4—941no—
1287C4×D4—941no—
1288C4×D4C22×D4711yescharacteristic
1289C4×D4C22×D4711yescharacteristic
1290C4×D4C22×D4711yescharacteristic
1291#117—21no—
1292#117—471no—
1293#117—471no—
1294#117—471no—
1295#117—471no—
1296#117—471no—
1297#117—471no—
1298#117—941no—
1299#117—941no—
1300#117—941no—
1301#117—941no—
1302#117—941no—
1303#117—941no—
1304#117—941no—
1305#117C22×D4711yescharacteristic
1306#117C22×D4711yescharacteristic
1307C2×C4⋊C4—21no—
1308C2×C4⋊C4—471no—
1309C2×C4⋊C4—471no—
1310C2×C4⋊C4—471no—
1311C2×C4⋊C4—471no—
1312C2×C4⋊C4—471no—
1313C2×C4⋊C4—941no—
1314C2×C4⋊C4—941no—
1315C2×C4⋊C4—941no—
1316C2×C4⋊C4—941no—
1317C2×C22⋊C4—941no—
1318C2×C22⋊C4—941no—
1319C2×C22⋊C4—941no—
1320C2×C22⋊C4—941no—
1321C2×C42—941no—
1322#107—471no—
1323#107—471no—
1324#107—471no—
1325#107—471no—
1326#107—471no—
1327#107C22×D4711yescharacteristic
1328#106—471no—
1329#106—471no—
1330#106—471no—
1331#106—471no—
1332#106C22×D4711yescharacteristic
1333#106C22×D4711yescharacteristic
1334C4⋊C8—471no—
1335C4⋊C8—471no—
1336C4⋊C8—471no—
1337C4⋊C8C22×D4711yescharacteristic
1338#103—471no—
1339#103—471no—
1340#103—471no—
1341#103—471no—
1342#103—471no—
1343#103—471no—
1344#103—471no—
1345#103—471no—
1346#103—471no—
1347#103—471no—
1348#103—471no—
1349#103—471no—
1350#103—471no—
1351#103—471no—
1352#103—471no—
1353#103—471no—
1354#103—471no—
1355#103—471no—
1356#103—471no—
1357#103—471no—
1358#103C22×D4711yescharacteristic
1359#103C22×D4711yescharacteristic
1360#103C22×D4711yescharacteristic
1361#103C22×D4711yescharacteristic
1362#103C22×D4711yescharacteristic
1363#103C22×D4711yescharacteristic
1364#102—471no—
1365#102—471no—
1366#102—471no—
1367#102—471no—
1368#102—471no—
1369#102—471no—
1370#102—471no—
1371#102—471no—
1372#102—471no—
1373#102—471no—
1374#102C22×D4711yescharacteristic
1375#102C22×D4711yescharacteristic
1376#102C22×D4711yescharacteristic
1377#102C22×D4711yescharacteristic
1378C22⋊C8—471no—
1379C22⋊C8—471no—
1380C22⋊C8—471no—
1381C22⋊C8—471no—
1382C22⋊C8—471no—
1383C22⋊C8—471no—
1384C22⋊C8C22×D4711yescharacteristic
1385C22⋊C8C22×D4711yescharacteristic
1386#97—471no—
1387#97—471no—
1388C4×C8—471no—
1389C4×C8C22×D4711yescharacteristic
1390C24—471no—
1391C24—941no—
1392#41—22no—
1393#41—22no—
1394#41—41no—
1395#41—41no—
1396#41—474no—
1397#41—942no—
1398#41—942no—
1399#41—942no—
1400#41—942no—
1401#41—942no—
1402#41—942no—
1403#41—942no—
1404#41—942no—
1405#41—942no—
1406#41—1881no—
1407#41—1884no—
1408#41—1884no—
1409#41—1884no—
1410#41—1881no—
1411#41—1884no—
1412#41—1884no—
1413C2×Q8—21no—
1414C2×Q8—471no—
1415C2×Q8—471no—
1416C2×Q8—471no—
1417C2×Q8—471no—
1418C2×Q8—941no—
1419C2×Q8—941no—
1420C2×Q8—941no—
1421C2×Q8—941no—
1422C2×Q8—942no—
1423C2×Q8—942no—
1424C2×Q8—942no—
1425C2×Q8—941no—
1426C2×Q8—942no—
1427C2×Q8—942no—
1428C2×Q8—1881no—
1429C2×Q8—1884no—
1430C2×Q8—1881no—
1431C2×Q8—1881no—
1432C2×Q8C23×D4711yescharacteristic
1433C2×Q8C23×D4711yescharacteristic
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—471no—
1439C2×D4—471no—
1440C2×D4—471no—
1441C2×D4—471no—
1442C2×D4—471no—
1443C2×D4—471no—
1444C2×D4—471no—
1445C2×D4—941no—
1446C2×D4—941no—
1447C2×D4—941no—
1448C2×D4—941no—
1449C2×D4—942no—
1450C2×D4—941no—
1451C2×D4—941no—
1452C2×D4—941no—
1453C2×D4—941no—
1454C2×D4—941no—
1455C2×D4—941no—
1456C2×D4—1881no—
1457C2×D4—1884no—
1458C2×D4D4×D4711yescharacteristic
1459C2×D4C23×D4711yescharacteristic
1460C2×D4C23×D4711yescharacteristic
1461C22×C4—21no—
1462C22×C4—21no—
1463C22×C4—21no—
1464C22×C4—21no—
1465C22×C4—471no—
1466C22×C4—471no—
1467C22×C4—471no—
1468C22×C4—471no—
1469C22×C4—471no—
1470C22×C4—471no—
1471C22×C4—942no—
1472C22×C4—942no—
1473C22×C4—941no—
1474C22×C4—941no—
1475C22×C4—941no—
1476C22×C4—941no—
1477C22×C4—941no—
1478C22×C4—941no—
1479C22×C4—941no—
1480C22×C4—941no—
1481C22×C4—941no—
1482C22×C4—941no—
1483C22×C4—941no—
1484C22×C4—941no—
1485C22×C4—941no—
1486C22×C4—941no—
1487C22×C4—941no—
1488C22×C4—941no—
1489C22×C4—1884no—
1490C22×C4C23×D4711yescharacteristic
1491C22×C4C23×D4711yescharacteristic
1492Q16—942no—
1493Q16—1881no—
1494Q16—1881no—
1495Q16—1881no—
1496SD16—41no—
1497SD16—41no—
1498SD16—942no—
1499SD16—942no—
1500SD16—1881no—
1501SD16—1881no—
1502D8—22no—
1503D8—1881no—
1504M16—942no—
1505M16—942no—
1506M16—1881no—
1507M16—1881no—
1508M16—1881no—
1509M16—1881no—
1510C2×C8—41no—
1511C2×C8—41no—
1512C2×C8—471no—
1513C2×C8—471no—
1514C2×C8—471no—
1515C2×C8—471no—
1516C2×C8—942no—
1517C2×C8—942no—
1518C2×C8—1881no—
1519C2×C8—1881no—
1520C2×C8C23×D4711yescharacteristic
1521C2×C8C23×D4711yescharacteristic
1522C2×C8C23×D4711yescharacteristic
1523C2×C8C23×D4711yescharacteristic
1524C4⋊C4—21no—
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—471no—
1530C4⋊C4—471no—
1531C4⋊C4—471no—
1532C4⋊C4—471no—
1533C4⋊C4—471no—
1534C4⋊C4—471no—
1535C4⋊C4—471no—
1536C4⋊C4—471no—
1537C4⋊C4—471no—
1538C4⋊C4—941no—
1539C4⋊C4—941no—
1540C4⋊C4—941no—
1541C4⋊C4—941no—
1542C4⋊C4—941no—
1543C4⋊C4—941no—
1544C4⋊C4—941no—
1545C4⋊C4—941no—
1546C4⋊C4—941no—
1547C4⋊C4—941no—
1548C4⋊C4—941no—
1549C4⋊C4—941no—
1550C4⋊C4—941no—
1551C4⋊C4—941no—
1552C4⋊C4—941no—
1553C4⋊C4—941no—
1554C4⋊C4—941no—
1555C4⋊C4—941no—
1556C4⋊C4—941no—
1557C4⋊C4—941no—
1558C4⋊C4—941no—
1559C4⋊C4—941no—
1560C4⋊C4—941no—
1561C4⋊C4—941no—
1562C4⋊C4D4×D4711yescharacteristic
1563C4⋊C4C23×D4711yescharacteristic
1564C4⋊C4C23×D4711yescharacteristic
1565C4⋊C4C23×D4711yescharacteristic
1566C4⋊C4C23×D4711yescharacteristic
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—471no—
1576C22⋊C4—471no—
1577C22⋊C4—471no—
1578C22⋊C4—471no—
1579C22⋊C4—471no—
1580C22⋊C4—471no—
1581C22⋊C4—471no—
1582C22⋊C4—471no—
1583C22⋊C4—941no—
1584C22⋊C4—941no—
1585C22⋊C4—941no—
1586C22⋊C4—941no—
1587C22⋊C4—941no—
1588C22⋊C4—941no—
1589C22⋊C4—941no—
1590C22⋊C4—941no—
1591C22⋊C4—941no—
1592C22⋊C4—941no—
1593C22⋊C4—941no—
1594C22⋊C4—941no—
1595C22⋊C4—941no—
1596C22⋊C4—941no—
1597C22⋊C4—941no—
1598C22⋊C4—941no—
1599C22⋊C4—941no—
1600C22⋊C4—941no—
1601C22⋊C4—941no—
1602C22⋊C4—941no—
1603C22⋊C4—941no—
1604C22⋊C4—941no—
1605C22⋊C4—941no—
1606C22⋊C4D4×D4711yescharacteristic
1607C22⋊C4D4×D4711yescharacteristic
1608C42—21no—
1609C42—21no—
1610C42—471no—
1611C42—941no—
1612C42—941no—
1613C42—941no—
1614C42—941no—
1615C42—941no—
1616C42—941no—
1617C42—941no—
1618C42—941no—
1619C42—941no—
1620C42C23×D4711yescharacteristic
1621C23—21no—
1622C23—21no—
1623C23—471no—
1624C23—471no—
1625C23—471no—
1626C23—942no—
1627C23—941no—
1628C23—3761no—
1629C23—1881no—
1630C23—1881no—
1631C23—1882no—
1632C23—1882no—
1633C23C2×D4×D4711yescharacteristic
1634C23C2×D4×D4711yescharacteristic
1635Q8—21no—
1636Q8—21no—
1637Q8—21no—
1638Q8—21no—
1639Q8—81no—
1640Q8—472no—
1641Q8—942no—
1642Q8—941no—
1643Q8—941no—
1644Q8—941no—
1645Q8—941no—
1646Q8—941no—
1647Q8—3761no—
1648Q8—1882no—
1649Q8—1882no—
1650Q8—1882no—
1651Q8—1882no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—41no—
1656D4—42no—
1657D4—42no—
1658D4—81no—
1659D4—81no—
1660D4—942no—
1661D4—942no—
1662D4—942no—
1663D4—944no—
1664D4—941no—
1665D4—941no—
1666D4—3761no—
1667D4—3761no—
1668D4—3761no—
1669D4—3761no—
1670D4—1881no—
1671D4—1882no—
1672D4—1881no—
1673D4—1881no—
1674D4—1882no—
1675D4—1882no—
1676D4—1882no—
1677D4—1882no—
1678D4#41×D4712yes—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—42no—
1690C2×C4—42no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—471no—
1694C2×C4—472no—
1695C2×C4—472no—
1696C2×C4—471no—
1697C2×C4—471no—
1698C2×C4—471no—
1699C2×C4—471no—
1700C2×C4—942no—
1701C2×C4—942no—
1702C2×C4—942no—
1703C2×C4—944no—
1704C2×C4—941no—
1705C2×C4—941no—
1706C2×C4—941no—
1707C2×C4—941no—
1708C2×C4—941no—
1709C2×C4—941no—
1710C2×C4—941no—
1711C2×C4—941no—
1712C2×C4—941no—
1713C2×C4—941no—
1714C2×C4—941no—
1715C2×C4—3761no—
1716C2×C4—3761no—
1717C2×C4—3761no—
1718C2×C4—3761no—
1719C2×C4—3761no—
1720C2×C4—3761no—
1721C2×C4—3761no—
1722C2×C4—1882no—
1723C2×C4—1882no—
1724C2×C4—1882no—
1725C2×C4—1882no—
1726C2×C4—1882no—
1727C2×C4—1882no—
1728C2×C4—1882no—
1729C2×C4—1882no—
1730C2×C4C2×D4×D4711yescharacteristic
1731C2×C4C2×D4×D4711yescharacteristic
1732C2×C4C2×D4×D4711yescharacteristic
1733C2×C4C2×D4×D4711yescharacteristic
1734C2×C4C24×D4711yescharacteristic
1735C8—21no—
1736C8—21no—
1737C8—21no—
1738C8—21no—
1739C8—941no—
1740C8—941no—
1741C8—941no—
1742C8—941no—
1743C22—21no—
1744C22—21no—
1745C22—22no—
1746C22—21no—
1747C22—21no—
1748C22—21no—
1749C22—21no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—472no—
1756C22—941no—
1757C22—941no—
1758C22—941no—
1759C22—941no—
1760C22—941no—
1761C22—941no—
1762C22—941no—
1763C22—941no—
1764C22—3762no—
1765C22—3764no—
1766C22—1881no—
1767C22—1881no—
1768C22—1881no—
1769C22C22×D4×D4711yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—472no—
1781C4—941no—
1782C4—941no—
1783C4—942no—
1784C4—941no—
1785C4—941no—
1786C4—1881no—
1787C4—1881no—
1788C4—1881no—
1789C4—1881no—
1790C4—1881no—
1791C4—1881no—
1792C4C2×#41×D4711yescharacteristic
1793C4H(5,𝔽2)×D4711yescharacteristic
1794C2—41no—
1795C2—41no—
1796C2—42no—
1797C2—81no—
1798C2—942no—
1799C2—3761no—
1800C2—1881no—
1801C2—1881no—
1802C2#546×D4711yescharacteristic
1803C2#2025815711yescharacteristic
1804C2#2025817011yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3303C2
socleC22×C47C23×D4
hypercenter#3303D47
hypocenterC47#61198
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3303

Complements

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

NH ≅ G/Ntype
1. #20257099C2semidirect
2. #20257062C2semidirect
3. #20255670C2semidirect
4. #20255669C2semidirect
5. #20255594C2semidirect
6. #20255582C2semidirect
7. #20255580C2semidirect
8. #20255568C2semidirect
9. #20255566C2semidirect
10. #20255565C2semidirect
11. #20255484C2semidirect
12. #20255480C2semidirect
13. #20255421C2semidirect
14. #20255420C2semidirect
15. #20255309C2semidirect
16. #20255278C2semidirect
17. #20255277C2semidirect
18. #20253748C2semidirect
19. #20253369C2semidirect
20. #485×D47C2semidirect
21. #20253245C2semidirect
22. #20253045C2semidirect
23. #20253011C2semidirect
24. #20252933C2semidirect
25. #20252701C2semidirect
26. #20252603C2semidirect
27. #20252258C2semidirect
28. #20252108C2semidirect
29. #20251917C2semidirect
30. #20251903C2semidirect
31. C47×#3303C2semidirect
34. C2×#13094053C22semidirect
37. C2×#13094030C22semidirect
42. #15689837C22semidirect
47. #15689813C22semidirect
48. #15689812C22semidirect
61. #15689750C22semidirect
65. #15689702C22semidirect
76. #15689603C22semidirect
78. #15689602C22semidirect
80. #15689491C22semidirect
81. #15689490C22semidirect
82. #15689485C22semidirect
83. #15689484C22semidirect
84. #15689479C22semidirect
85. #15689478C22semidirect
86. #15689472C22semidirect
89. #15689465C22semidirect
90. #15689464C22semidirect
92. #15689463C22semidirect
94. #15689461C22semidirect
95. #15689457C22semidirect
96. #15689456C22semidirect
97. #15689449C22semidirect
98. #15689447C22semidirect
99. #15689438C22semidirect
100. #15689437C22semidirect
101. #15689433C22semidirect
102. #15689431C22semidirect
103. #15689423C22semidirect
104. #15689421C22semidirect
105. #15689411C22semidirect
106. #15689407C22semidirect
107. #15689405C22semidirect
110. #15689380C22semidirect
111. #15689379C22semidirect
112. #15689375C22semidirect
113. #15689374C22semidirect
116. #15689364C22semidirect
117. #15689362C22semidirect
118. #15689353C22semidirect
119. #15689352C22semidirect
120. #15689350C22semidirect
121. #15689349C22semidirect
122. #15689348C22semidirect
123. #15689346C22semidirect
124. #15689340C22semidirect
125. #15689338C22semidirect
126. #15689332C22semidirect
127. #15689330C22semidirect
128. #15689326C22semidirect
130. #15689286C22semidirect
132. #15689285C22semidirect
133. #15689281C22semidirect
135. #15689280C22semidirect
138. #15689265C22semidirect
139. #15689261C22semidirect
141. #15689260C22semidirect
143. #15689223C22semidirect
144. #15689223C22semidirect
145. #15689220C22semidirect
146. #15689220C22semidirect
147. C4×Dic188C22semidirect
148. #15689217C22semidirect
149. D8×Dic47C22semidirect
152. #15689195C22semidirect
154. #15689194C22semidirect
156. (C22⋊D47)⋊C8C22semidirect
157. #15689162C22semidirect
158. #107×D47C22semidirect
159. #106×D47C22semidirect
160. #15689148C22semidirect
161. #15689131C22semidirect
164. #15689130C22semidirect
165. #15689130C22semidirect
168. #15689124C22semidirect
173. #15689121C22semidirect
174. #15689121C22semidirect
180. #15689116C22semidirect
181. C2×#13093949C22semidirect
182. #103×D47C22semidirect
183. #103×D47C22semidirect
184. #103×D47C22semidirect
185. #15689088C22semidirect
187. #15689077C22semidirect
188. C47×#555C22semidirect
190. C47×#487C22semidirect
191. C47×#485C22semidirect
192. C47×#485C22semidirect
193. C47×#476C22semidirect
194. C47×#465C22semidirect
195. C47×#465C22semidirect
196. C47×#461C22semidirect
198. C47×#449C22semidirect
199. C4×D8×C47C22semidirect
200. C8×D4×C47C22semidirect
202. C47×#416C22semidirect
907. #3303D47semidirect
946. #555C2×D47semidirect
991. #487C2×D47semidirect
1000. #485C2×D47semidirect
1001. #485C2×D47semidirect
1013. #476C2×D47semidirect
1030. #465C2×D47semidirect
1031. #465C2×D47semidirect
1039. #461C2×D47semidirect
1051. #449C2×D47semidirect
1063. C4×D8C2×D47semidirect
1071. C8×D4C2×D47semidirect
1097. #416C2×D47semidirect
1105. C47#61198semidirect

Maximal subgroups

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

subgroupindex
#202570992
#202570622
#202556702
#202556692
#202555942
#202555822
#202555802
#202555682
#202555662
#202555652
#202554842
#202554802
#202554212
#202554202
#202553092
#202552782
#202552772
#202537482
#202533692
#485×D472
#202532452
#202530452
#202530112
#202529332
#202527012
#202526032
#202522582
#202521082
#202519172
#202519032
C47×#33032
#6119847