Finite Group Databasebeta

← #27102506

Subgroups — #27102506

Order 12032.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257690C211yesmaximal, characteristic, complemented
2#20257054C211yesmaximal, characteristic, complemented
3#20255551C211yesmaximal, characteristic, complemented
4#20255415C211yesmaximal, characteristic, complemented
5#20255387C211yesmaximal, characteristic, complemented
6#20255379C211yesmaximal, characteristic, complemented
7#20255340C211yesmaximal, characteristic, complemented
8#20255279C211yesmaximal, characteristic, complemented
9#20255244C211yesmaximal, characteristic, complemented
10#20255202C211yesmaximal, characteristic, complemented
11#20255142C211yesmaximal, characteristic, complemented
12#20255072C211yesmaximal, characteristic, complemented
13#20255058C211yesmaximal, characteristic, complemented
14#20254931C211yesmaximal, characteristic, complemented
15#20254923C211yesmaximal, characteristic, complemented
16#20254883C211yesmaximal, characteristic, complemented
17#20254869C211yesmaximal, characteristic, complemented
18#20254475C211yesmaximal, characteristic, complemented
19#20254435C211yesmaximal, characteristic, complemented
20#20254289C211yesmaximal, characteristic, complemented
21#20254243C211yesmaximal, characteristic, complemented
22#20254154C211yesmaximal, characteristic, complemented
23#20254137C211yesmaximal, characteristic, complemented
24#20253649C211yesmaximal, characteristic, complemented
25#20253593C211yesmaximal, characteristic, complemented
26#20252688C211yesmaximal, characteristic, complemented
27#20252653C211yesmaximal, characteristic, complemented
28#20252611C211yesmaximal, characteristic, complemented
29C2×#15689267C211yesmaximal, characteristic, complemented
30#20252441C211yesmaximal, characteristic, complemented
31C47×#3282C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic, complemented
33C22×#10625354C2211yescharacteristic, complemented
34C2×#13094051C2211yescharacteristic, complemented
35C2×#13094049C2211yescharacteristic, complemented
36C2×#13094047C2211yescharacteristic, complemented
37C2×#13094047C2211yescharacteristic, complemented
38C22×#10625334C2211yescharacteristic, complemented
39C2×D8×D47C2211yescharacteristic, complemented
40#15689870—21no—
41#15689861—21no—
42#15689838C2211yescharacteristic, complemented
43#15689825C2211yescharacteristic, complemented
44#15689815C2211yescharacteristic, complemented
45#15689799—21no—
46#15689795C2211yescharacteristic, complemented
47#15689792C2211yescharacteristic, complemented
48#15689792C2211yescharacteristic, complemented
49#15689784C2211yescharacteristic
50#15689777C2211yescharacteristic, complemented
51#15689766—21no—
52#15689766C2211yescharacteristic, complemented
53#15689766C2211yescharacteristic, complemented
54#15689764—21no—
55#15689764C2211yescharacteristic, complemented
56#15689760—21no—
57D4×D188—21no—
58D4×D188C2211yescharacteristic, complemented
59#15689757—21no—
60#15689757C2211yescharacteristic
61D4×C22⋊D47C2211yescharacteristic, complemented
62#15689742C2211yescharacteristic, complemented
63#15689726—21no—
64#15689724C2211yescharacteristic, complemented
65#15689709—21no—
66#15689703—21no—
67#15689703C2211yescharacteristic, complemented
68#15689701C2211yescharacteristic, complemented
69#15689691—21no—
70#15689691C2211yescharacteristic, complemented
71#15689689C2211yescharacteristic, complemented
72#15689688—21no—
73#15689685—21no—
74#15689636C2211yescharacteristic, complemented
75#15689632—21no—
76#15689632C2211yescharacteristic
77C2×#13093995C2211yescharacteristic, complemented
78#121×D47—21no—
79#121×D47C2211yescharacteristic, complemented
80#15689605C2211yescharacteristic, complemented
81#15689513C2211yescharacteristic, complemented
82#15689509C2211yescharacteristic, complemented
83#15689498C2211yescharacteristic, complemented
84#15689486C2211yescharacteristic, complemented
85#15689482C2211yescharacteristic, complemented
86#15689479C2211yescharacteristic, complemented
87#15689470C2211yescharacteristic, complemented
88#15689463C2211yescharacteristic, complemented
89#15689457C2211yescharacteristic, complemented
90#15689456C2211yescharacteristic, complemented
91#15689449C2211yescharacteristic, complemented
92#15689449C2211yescharacteristic, complemented
93#15689445C2211yescharacteristic, complemented
94#15689443C2211yescharacteristic, complemented
95#15689437C2211yescharacteristic, complemented
96#15689437C2211yescharacteristic, complemented
97#15689435C2211yescharacteristic, complemented
98#15689435C2211yescharacteristic, complemented
99#15689434C2211yescharacteristic, complemented
100#15689432C2211yescharacteristic, complemented
101#15689422C2211yescharacteristic, complemented
102#15689418C2211yescharacteristic, complemented
103#15689404C2211yescharacteristic, complemented
104#15689374C2211yescharacteristic, complemented
105#15689372C2211yescharacteristic, complemented
106#15689371C2211yescharacteristic, complemented
107#15689366C2211yescharacteristic, complemented
108#15689361C2211yescharacteristic, complemented
109#15689359C2211yescharacteristic, complemented
110#15689359C2211yescharacteristic, complemented
111#15689358C2211yescharacteristic, complemented
112#15689358C2211yescharacteristic, complemented
113#15689358C2211yescharacteristic, complemented
114#15689357C2211yescharacteristic, complemented
115#15689356C2211yescharacteristic, complemented
116#15689356C2211yescharacteristic, complemented
117#15689354C2211yescharacteristic, complemented
118#15689347C2211yescharacteristic, complemented
119#15689340C2211yescharacteristic, complemented
120#15689335C2211yescharacteristic, complemented
121#15689335C2211yescharacteristic, complemented
122#15689321C2211yescharacteristic, complemented
123#15689321C2211yescharacteristic, complemented
124#15689319C2211yescharacteristic, complemented
125#15689318C2211yescharacteristic, complemented
126#15689317C2211yescharacteristic, complemented
127#15689316C2211yescharacteristic, complemented
128#15689284C2211yescharacteristic, complemented
129#15689284C2211yescharacteristic, complemented
130#15689284C2211yescharacteristic, complemented
131#15689273C2211yescharacteristic, complemented
132#15689272C2211yescharacteristic, complemented
133#15689272C2211yescharacteristic, complemented
134#15689272C2211yescharacteristic, complemented
135#15689271C2211yescharacteristic, complemented
136#15689271C2211yescharacteristic, complemented
137#15689271C2211yescharacteristic, complemented
138#15689268C2211yescharacteristic, complemented
139#15689268C2211yescharacteristic, complemented
140#15689267C2211yescharacteristic
141#15689267C2211yescharacteristic, complemented
142#15689267C2211yescharacteristic, complemented
143#15689267C2211yescharacteristic, complemented
144#15689267C2211yescharacteristic, complemented
145#15689267C2211yescharacteristic, complemented
146#15689267C2211yescharacteristic, complemented
147#15689267C2211yescharacteristic, complemented
148#15689267C2211yescharacteristic, complemented
149#15689267C2211yescharacteristic, complemented
150#15689262C2211yescharacteristic, complemented
151#15689259C2211yescharacteristic, complemented
152#15689259C2211yescharacteristic, complemented
153#15689258C2211yescharacteristic, complemented
154#15689258C2211yescharacteristic, complemented
155#15689257C2211yescharacteristic, complemented
156#15689256C2211yescharacteristic, complemented
157#15689255C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689233C2211yescharacteristic, complemented
161#15689226C2211yescharacteristic, complemented
162#15689224C2211yescharacteristic, complemented
163#15689221C2211yescharacteristic, complemented
164Q16×Dic47C2211yescharacteristic, complemented
165C4×D376C2211yescharacteristic, complemented
166#15689203C2211yescharacteristic, complemented
167#15689197C2211yescharacteristic, complemented
168#15689195C2211yescharacteristic, complemented
169#15689194C2211yescharacteristic, complemented
170#15689193C2211yescharacteristic, complemented
171C8×D188C2211yescharacteristic, complemented
172C8×C22⋊D47C2211yescharacteristic, complemented
173(C22⋊D47)⋊C8C2211yescharacteristic, complemented
174#15689183C2211yescharacteristic, complemented
175#15689182C2211yescharacteristic, complemented
176#15689126C2211yescharacteristic, complemented
177#15689124C2211yescharacteristic, complemented
178#15689118C2211yescharacteristic, complemented
179#15689118C2211yescharacteristic, complemented
180#15689118C2211yescharacteristic, complemented
181C2×#13093948C2211yescharacteristic, complemented
182C2×#13093946C2211yescharacteristic, complemented
183C2×#13093946C2211yescharacteristic, complemented
184#15689089C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186C2×(C2×D47)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C2×#135×C47C2211yescharacteristic, complemented
189C22×SD16×C47C2211yescharacteristic, complemented
190C47×#548C2211yescharacteristic, complemented
191C47×#546C2211yescharacteristic, complemented
192C47×#495C2211yescharacteristic, complemented
193C47×#465C2211yescharacteristic, complemented
194C47×#465C2211yescharacteristic, complemented
195C47×#464C2211yescharacteristic, complemented
196C47×#463C2211yescharacteristic, complemented
197C47×#452C2211yescharacteristic, complemented
198C47×#451C2211yescharacteristic, complemented
199C47×#449C2211yescharacteristic, complemented
200C47×#447C2211yescharacteristic, complemented
201C4×SD16×C47C2211yescharacteristic, complemented
202C8×D4×C47C2211yescharacteristic, complemented
203#13094070—42no—
204#13094070—42no—
205C2×#10625354—21no—
206C2×#10625354—21no—
207C2×#10625354—42no—
208C2×#10625354—42no—
209C2×#10625354C2311yescharacteristic
210C2×#10625354C2311yescharacteristic
211C2×#10625354C2311yescharacteristic
212C2×#10625354C2311yescharacteristic
213C2×#10625354C2311yescharacteristic
214C2×#10625354C2311yescharacteristic
215C2×#10625350—21no—
216C2×#10625350C2311yescharacteristic
217C2×#10625352—21no—
218C22×D188—21no—
219C22×D188—21no—
220C22×D188C2311yescharacteristic
221C22×D188C2311yescharacteristic
222C22×C22⋊D47—21no—
223C22×C22⋊D47—21no—
224C2×D4×D47—21no—
225C2×D4×D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47—21no—
228C2×D4×D47—21no—
229C2×D4×D47C2311yescharacteristic
230C2×D4×D47C2311yescharacteristic
231C2×D4×D47C2311yescharacteristic
232C22×C4×D47—21no—
233C22×C4×D47C2311yescharacteristic
234#13094051—42no—
235#13094049—42no—
236#13094047—42no—
237#13094047—42no—
238C2×#10625336C2311yescharacteristic
239C2×#10625336C2311yescharacteristic
240C2×#10625336C2311yescharacteristic
241C2×#10625336C2311yescharacteristic
242C2×#10625336C2311yescharacteristic
243C2×D376C2311yescharacteristic
244C2×D376C2311yescharacteristic
245C2×D376C2311yescharacteristic
246C2×#10625334—42no—
247C2×#10625334C2311yescharacteristic
248C2×#10625334C2311yescharacteristic
249C2×#10625334C2311yescharacteristic
250C2×#10625334C2311yescharacteristic
251C2×#10625334C2311yescharacteristic
252C2×#10625334C2311yescharacteristic
253C2×#10625334C2311yescharacteristic
254D8×D47—42no—
255C2×#10625329C2311yescharacteristic
256C2×#10625324C2311yescharacteristic
257C22×C47⋊C8C2311yescharacteristic
258C2×C8×D47C2311yescharacteristic
259C2×C8×D47C2311yescharacteristic
260C2×C8×D47C2311yescharacteristic
261#13094024C2311yescharacteristic
262#13094021—21no—
263#13094021C2311yescharacteristic
264#13094020—21no—
265#13094020—21no—
266#13094020—21no—
267#13094020C2311yescharacteristic
268#13094020C2311yescharacteristic
269#13094019—21no—
270#13094017—21no—
271#13094017—21no—
272#13094015—21no—
273#13094015C2311yescharacteristic
274#13094013—21no—
275#13094013C2311yescharacteristic
276#13094010—21no—
277#13094010—21no—
278#13094010—21no—
279#13094010—21no—
280#13094009—21no—
281#13094009—21no—
282#13094009D411yescharacteristic
283#13094008—21no—
284#13094008—21no—
285#13094008—21no—
286#13094008—21no—
287#13094008—21no—
288#13094007—21no—
289#13094006—21no—
290#13094006—21no—
291#13094006—21no—
292#13094006D411yescharacteristic
293#13094004—21no—
294#13094003—21no—
295#13094002—21no—
296#13094002D411yescharacteristic
297#13094001—21no—
298#13094001D411yescharacteristic
299#13094000—21no—
300#13094000C2311yescharacteristic
301#13094000C2311yescharacteristic
302#13094000C2311yescharacteristic
303#13093999—21no—
304#13093999—21no—
305#13093999—21no—
306#13093999—21no—
307#13093999—21no—
308#13093999C2311yescharacteristic
309#13093999C2311yescharacteristic
310#13093999C2311yescharacteristic
311#13093998—21no—
312#13093998—21no—
313#13093998—21no—
314#13093998—21no—
315#13093998—21no—
316#13093998—21no—
317#13093998C2311yescharacteristic
318#13093998C2311yescharacteristic
319#13093998C2311yescharacteristic
320#13093998C2311yescharacteristic
321#13093997—21no—
322#13093997—21no—
323#13093997—21no—
324#13093997—21no—
325#13093997—21no—
326#13093997—21no—
327#13093997—21no—
328#13093997—21no—
329#13093997—21no—
330#13093997D411yescharacteristic
331#13093996—21no—
332#13093996—21no—
333#13093996—21no—
334#13093996—21no—
335#13093996—21no—
336#13093996D411yescharacteristic
337#13093995—21no—
338#13093995—21no—
339#13093995—21no—
340#13093995—21no—
341#13093995C2311yescharacteristic
342#13093995C2311yescharacteristic
343#13093995C2311yescharacteristic
344#13093995C2311yescharacteristic
345#13093995C2311yescharacteristic
346#13093995C2311yescharacteristic
347#13093994—21no—
348#13093994—21no—
349#13093994—21no—
350#13093994—21no—
351#13093994—21no—
352#13093994—21no—
353#13093994—21no—
354#13093994—21no—
355#13093994—21no—
356#13093994—21no—
357#13093994D411yescharacteristic
358#13093993—21no—
359#13093992—21no—
360#13093992—21no—
361#13093992—21no—
362#13093992D411yescharacteristic
363Q8×Dic47C2311yescharacteristic
364Q8×Dic47C2311yescharacteristic
365C4×D188—21no—
366C4×D188—21no—
367C4×D188C2311yescharacteristic
368C4×D188C2311yescharacteristic
369C4×D188C2311yescharacteristic
370D4×Dic47—21no—
371D4×Dic47C2311yescharacteristic
372#13093986—21no—
373#13093986—21no—
374#13093986C2311yescharacteristic
375C4×C22⋊D47—21no—
376C4×C22⋊D47—21no—
377C4×C22⋊D47—21no—
378C4×C22⋊D47C2311yescharacteristic
379C4×C22⋊D47C2311yescharacteristic
380(C22⋊D47)⋊C4—21no—
381#13093983—21no—
382#13093982C2311yescharacteristic
383#13093982C2311yescharacteristic
384#13093981—21no—
385#13093981C2311yescharacteristic
386#13093980—21no—
387C2×C4⋊Dic47C2311yescharacteristic
388C2×C4⋊Dic47C2311yescharacteristic
389C4⋊C4×D47—21no—
390C4⋊C4×D47C2311yescharacteristic
391C2×C22⋊Dic47—21no—
392C22⋊C4×D47—21no—
393C22⋊C4×D47—21no—
394C22⋊C4×D47—21no—
395C22⋊C4×D47—21no—
396#13093958C2311yescharacteristic
397#13093958C2311yescharacteristic
398#13093958C2311yescharacteristic
399#13093957C2311yescharacteristic
400#13093957C2311yescharacteristic
401#13093957C2311yescharacteristic
402#13093955C2311yescharacteristic
403C4⋊(C47⋊C8)C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406#13093948C2311yescharacteristic
407#13093948C2311yescharacteristic
408#13093948C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093946C2311yescharacteristic
414#13093946C2311yescharacteristic
415#13093946C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
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(C2×D47)⋊C8C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441(C2×D47)⋊C8C2311yescharacteristic
442#13093935C2311yescharacteristic
443#13093934C2311yescharacteristic
444C8×Dic47C2311yescharacteristic
445C2×#41×C47C2311yescharacteristic
446C2×#41×C47C2311yescharacteristic
447C22×Q8×C47C2311yescharacteristic
448C22×D4×C47C2311yescharacteristic
449#135×C47—42no—
450C2×Q16×C47C2311yescharacteristic
451C2×Q16×C47C2311yescharacteristic
452C2×SD16×C47—42no—
453C2×SD16×C47C2311yescharacteristic
454C2×SD16×C47C2311yescharacteristic
455C2×SD16×C47C2311yescharacteristic
456C2×SD16×C47C2311yescharacteristic
457C2×SD16×C47C2311yescharacteristic
458C2×D8×C47C2311yescharacteristic
459C2×D8×C47C2311yescharacteristic
460C22×C8×C47C2311yescharacteristic
461C22×C8×C47C2311yescharacteristic
462#124×C47—21no—
463#124×C47C2311yescharacteristic
464#124×C47C2311yescharacteristic
465#123×C47—21no—
466C22⋊Q8×C47—21no—
467C22⋊Q8×C47C2311yescharacteristic
468C22⋊Q8×C47C2311yescharacteristic
469#121×C47—21no—
470#121×C47—21no—
471#121×C47C2311yescharacteristic
472#121×C47C2311yescharacteristic
473#120×C47—21no—
474C4×Q8×C47C2311yescharacteristic
475C4×D4×C47—21no—
476C4×D4×C47C2311yescharacteristic
477C4×D4×C47C2311yescharacteristic
478C2×C22⋊C4×C47—21no—
479#106×C47C2311yescharacteristic
480C4⋊C8×C47C2311yescharacteristic
481#103×C47C2311yescharacteristic
482#103×C47C2311yescharacteristic
483#103×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486#102×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489C4×C8×C47C2311yescharacteristic
490C24×C47—21no—
491C23×D47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C23×D47C2×D411yescharacteristic
497#41×C47—22no—
498#41×C47—41no—
499#41×C47—41no—
500#41×C47—41no—
501C2×Q8×C47—21no—
502C2×Q8×C47—22no—
503C2×Q8×C47—41no—
504C2×Q8×C47C2411yescharacteristic
505C2×Q8×C47C2411yescharacteristic
506C2×Q8×C47C2411yescharacteristic
507C2×D4×C47—21no—
508C2×D4×C47—21no—
509C2×D4×C47—21no—
510C2×D4×C47—21no—
511C2×D4×C47—21no—
512C2×D4×C47—41no—
513C2×D4×C47—41no—
514C2×D4×C47C2×D411yescharacteristic
515C2×D4×C47C2411yescharacteristic
516C2×D4×C47C2411yescharacteristic
517C2×D4×C47C2411yescharacteristic
518C22×C4×C47—21no—
519C22×C4×C47—21no—
520C22×C4×C47—21no—
521C22×C4×C47—21no—
522C22×C4×C47C2411yescharacteristic
523C22×C4×C47C2411yescharacteristic
524C2×C22⋊D47—21no—
525C2×C22⋊D47—21no—
526C2×C22⋊D47—21no—
527C2×C22⋊D47—21no—
528C2×C22⋊D47—21no—
529C2×C22⋊D47—21no—
530C2×C22⋊D47—21no—
531C2×C22⋊D47—21no—
532C2×C22⋊D47—21no—
533C2×C22⋊D47—21no—
534C2×C22⋊D47—21no—
535C2×C22⋊D47—21no—
536C2×C22⋊D47—21no—
537C2×C22⋊D47—21no—
538C2×C22⋊D47—21no—
539C2×C22⋊D47—21no—
540C2×C22⋊D47—21no—
541C2×C22⋊D47—82no—
542C2×C22⋊D47—82no—
543C2×C22⋊D47C2×D411yescharacteristic
544C2×C22⋊D47C2×D411yescharacteristic
545C2×C22⋊D47C2×D411yescharacteristic
546C2×C22⋊D47C2×D411yescharacteristic
547C22×Dic47—21no—
548C22×Dic47—21no—
549C22×Dic47—21no—
550C22×Dic47C2×D411yescharacteristic
551#10625354—22no—
552#10625354—22no—
553#10625354—22no—
554#10625354—22no—
555#10625354—22no—
556#10625354—41no—
557#10625354—41no—
558#10625354—41no—
559#10625354—41no—
560#10625354—41no—
561#10625354—44no—
562#10625354—41no—
563#10625354—41no—
564#10625354—44no—
565#10625352—82no—
566D4×D47—22no—
567D4×D47—41no—
568D4×D47—41no—
569D4×D47—41no—
570D4×D47—41no—
571D4×D47—41no—
572D4×D47—44no—
573D4×D47—44no—
574D4×D47—82no—
575D4×D47—82no—
576D4×D47—82no—
577#10625350—41no—
578#10625350—41no—
579#10625350—44no—
580C2×D188—21no—
581C2×D188—22no—
582C2×D188—22no—
583C2×D188—21no—
584C2×D188—21no—
585C2×D188—21no—
586C2×D188—21no—
587C2×D188—21no—
588C2×D188—21no—
589C2×D188—21no—
590C2×D188—21no—
591C2×D188—21no—
592C2×D188—21no—
593C2×D188—21no—
594C2×D188—21no—
595C2×D188—41no—
596C2×D188—41no—
597C2×D188—44no—
598C2×D188—44no—
599C2×D188C2×D411yescharacteristic
600C2×D188C2×D411yescharacteristic
601C2×D188C2411yescharacteristic
602C2×D188C2411yescharacteristic
603C2×D188C2411yescharacteristic
604C2×D188C2411yescharacteristic
605C2×C4×D47—21no—
606C2×C4×D47—21no—
607C2×C4×D47—21no—
608C2×C4×D47—21no—
609C2×C4×D47—21no—
610C2×C4×D47—21no—
611C2×C4×D47—21no—
612C2×C4×D47—21no—
613C2×C4×D47—21no—
614C2×C4×D47—21no—
615C2×C4×D47—41no—
616C2×C4×D47—41no—
617C2×C4×D47—44no—
618C2×C4×D47C2×D411yescharacteristic
619C2×C4×D47C2×D411yescharacteristic
620C2×C4×D47C2411yescharacteristic
621C2×C4×D47C2411yescharacteristic
622C2×C4×D47C2411yescharacteristic
623C2×Dic94—21no—
624C2×Dic94C2×D411yescharacteristic
625Q16×C47—22no—
626Q16×C47—41no—
627SD16×C47—22no—
628SD16×C47—22no—
629SD16×C47—41no—
630SD16×C47—41no—
631SD16×C47—41no—
632D8×C47—41no—
633D8×C47—41no—
634C2×C8×C47—41no—
635C2×C8×C47—41no—
636C2×C8×C47C2411yescharacteristic
637C2×C8×C47C2411yescharacteristic
638C2×C8×C47C2411yescharacteristic
639C2×C8×C47C2411yescharacteristic
640C4⋊C4×C47—21no—
641C4⋊C4×C47—21no—
642C4⋊C4×C47—21no—
643C4⋊C4×C47C2×D411yescharacteristic
644C4⋊C4×C47C2411yescharacteristic
645C4⋊C4×C47C2411yescharacteristic
646C22⋊C4×C47—21no—
647C22⋊C4×C47—21no—
648C22⋊C4×C47—21no—
649C22⋊C4×C47—21no—
650C22⋊C4×C47—21no—
651C22⋊C4×C47—21no—
652C22⋊C4×C47—21no—
653C22⋊C4×C47—21no—
654C22⋊C4×C47—21no—
655C22⋊C4×C47C2×D411yescharacteristic
656C22⋊C4×C47C2×D411yescharacteristic
657C42×C47—21no—
658C42×C47C2411yescharacteristic
659C22⋊Dic47—21no—
660C22⋊Dic47—21no—
661C22⋊Dic47—21no—
662C22⋊Dic47—21no—
663C22⋊Dic47—21no—
664C22⋊Dic47—21no—
665C22⋊Dic47—21no—
666C22⋊Dic47C2×D411yescharacteristic
667C22⋊Dic47C2×D411yescharacteristic
668#10625336—22no—
669#10625336—22no—
670#10625336—41no—
671#10625336—41no—
672#10625336—41no—
673#10625334—22no—
674#10625334—22no—
675#10625334—41no—
676#10625334—41no—
677#10625334—41no—
678#10625334—41no—
679#10625334—41no—
680(C2×D47)⋊C4—21no—
681(C2×D47)⋊C4—21no—
682(C2×D47)⋊C4—21no—
683(C2×D47)⋊C4—21no—
684(C2×D47)⋊C4—21no—
685(C2×D47)⋊C4—21no—
686(C2×D47)⋊C4—21no—
687(C2×D47)⋊C4—21no—
688(C2×D47)⋊C4—21no—
689(C2×D47)⋊C4—21no—
690(C2×D47)⋊C4—21no—
691(C2×D47)⋊C4—21no—
692(C2×D47)⋊C4—21no—
693(C2×D47)⋊C4—21no—
694(C2×D47)⋊C4—21no—
695(C2×D47)⋊C4—21no—
696(C2×D47)⋊C4—21no—
697(C2×D47)⋊C4C2×D411yescharacteristic
698(C2×D47)⋊C4C2×D411yescharacteristic
699(C2×D47)⋊C4C2×D411yescharacteristic
700(C2×D47)⋊C4C2×D411yescharacteristic
701(C2×D47)⋊C4C2×D411yescharacteristic
702(C2×D47)⋊C4C2×D411yescharacteristic
703C4⋊Dic47—21no—
704C4⋊Dic47—21no—
705C4⋊Dic47—21no—
706C4⋊Dic47—21no—
707C4⋊Dic47—21no—
708C4⋊Dic47—21no—
709C4⋊Dic47C2×D411yescharacteristic
710C4⋊Dic47C2411yescharacteristic
711C4⋊Dic47C2411yescharacteristic
712C4⋊Dic47C2411yescharacteristic
713C4⋊Dic47C2411yescharacteristic
714Dic47⋊C4—21no—
715Dic47⋊C4—21no—
716Dic47⋊C4—21no—
717Dic47⋊C4—21no—
718Dic47⋊C4—21no—
719Dic47⋊C4C2×D411yescharacteristic
720Dic47⋊C4C2×D411yescharacteristic
721Dic47⋊C4C2×D411yescharacteristic
722Dic47⋊C4C2×D411yescharacteristic
723C4×Dic47—21no—
724C4×Dic47—21no—
725C4×Dic47—21no—
726C4×Dic47—21no—
727C4×Dic47C2411yescharacteristic
728#10625329—41no—
729C2×C47⋊C8—41no—
730C2×C47⋊C8C2411yescharacteristic
731C2×C47⋊C8C2411yescharacteristic
732C2×C47⋊C8C2411yescharacteristic
733C2×C47⋊C8C2411yescharacteristic
734D376—22no—
735D376—41no—
736D376—41no—
737#10625324—41no—
738C8×D47—41no—
739C8×D47—41no—
740C8×D47—41no—
741C23×C47—21no—
742C23×C47—21no—
743C23×C47—21no—
744C23×C47—42no—
745C23×C47—81no—
746C23×C47—81no—
747C23×C47C22×D411yescharacteristic
748C23×C47C22×D411yescharacteristic
749C22×D47—21no—
750C22×D47—22no—
751C22×D47—21no—
752C22×D47—21no—
753C22×D47—21no—
754C22×D47—41no—
755C22×D47—41no—
756C22×D47—42no—
757C22×D47—42no—
758C22×D47—42no—
759C22×D47—42no—
760C22×D47—42no—
761C22×D47—81no—
762C22×D47—81no—
763C22×D47—81no—
764C22×D47—81no—
765C22×D47—81no—
766C22×D47—81no—
767C22×D47—81no—
768C22×D47—81no—
769C22×D47—81no—
770C22×D47—81no—
771C22×D47C22×D411yescharacteristic
772C22×D47C22×D411yescharacteristic
773C22×D47C22×D411yescharacteristic
774Q8×C47—21no—
775Q8×C47—21no—
776Q8×C47—21no—
777Q8×C47—21no—
778Q8×C47—21no—
779Q8×C47—42no—
780Q8×C47H(5,𝔽2)12yes—
781D4×C47—22no—
782D4×C47—21no—
783D4×C47—21no—
784D4×C47—21no—
785D4×C47—21no—
786D4×C47—21no—
787D4×C47—21no—
788D4×C47—42no—
789D4×C47—42no—
790D4×C47—81no—
791D4×C47—81no—
792D4×C47—81no—
793C2×C4×C47—21no—
794C2×C4×C47—21no—
795C2×C4×C47—21no—
796C2×C4×C47—21no—
797C2×C4×C47—21no—
798C2×C4×C47—21no—
799C2×C4×C47—21no—
800C2×C4×C47—21no—
801C2×C4×C47—21no—
802C2×C4×C47—42no—
803C2×C4×C47—42no—
804C2×C4×C47—81no—
805C2×C4×C47—81no—
806C2×C4×C47C22×D411yescharacteristic
807C2×C4×C47C22×D411yescharacteristic
808C2×C4×C47C22×D411yescharacteristic
809C2×C4×C47C22×D411yescharacteristic
810C2×C4×C47C2511yescharacteristic
811C22⋊D47—22no—
812C22⋊D47—41no—
813C22⋊D47—41no—
814C22⋊D47—41no—
815C22⋊D47—42no—
816C22⋊D47—42no—
817C22⋊D47—42no—
818C22⋊D47—42no—
819C22⋊D47—81no—
820C22⋊D47—81no—
821C22⋊D47—81no—
822C22⋊D47—81no—
823C22⋊D47—81no—
824C22⋊D47—81no—
825C22⋊D47—81no—
826C22⋊D47—81no—
827C22⋊D47—81no—
828C22⋊D47—81no—
829C22⋊D47—81no—
830C22⋊D47—81no—
831C22⋊D47—81no—
832C2×Dic47—21no—
833C2×Dic47—21no—
834C2×Dic47—21no—
835C2×Dic47—21no—
836C2×Dic47—41no—
837C2×Dic47—42no—
838C2×Dic47—81no—
839C2×Dic47—81no—
840C2×Dic47C22×D411yescharacteristic
841C2×Dic47C22×D411yescharacteristic
842C2×Dic47C22×D411yescharacteristic
843C2×Dic47C22×D411yescharacteristic
844C2×Dic47C22×D411yescharacteristic
845D188—24no—
846D188—21no—
847D188—21no—
848D188—21no—
849D188—21no—
850D188—21no—
851D188—21no—
852D188—21no—
853D188—41no—
854D188—41no—
855D188—42no—
856D188—42no—
857D188—42no—
858D188—42no—
859D188—42no—
860D188—42no—
861D188—81no—
862D188—81no—
863D188—81no—
864D188—81no—
865D188—81no—
866D188—81no—
867D188H(5,𝔽2)12yes—
868C4×D47—24no—
869C4×D47—21no—
870C4×D47—21no—
871C4×D47—21no—
872C4×D47—21no—
873C4×D47—21no—
874C4×D47—21no—
875C4×D47—41no—
876C4×D47—41no—
877C4×D47—42no—
878C4×D47—42no—
879C4×D47—42no—
880C4×D47—42no—
881C4×D47—81no—
882C4×D47—81no—
883C4×D47—81no—
884C4×D47—81no—
885C4×D47—81no—
886Dic94—41no—
887Dic94—81no—
888C8×C47—21no—
889C8×C47—21no—
890C8×C47—21no—
891C8×C47—21no—
892C47⋊C8—21no—
893C47⋊C8—21no—
894C47⋊C8—21no—
895C47⋊C8—21no—
896#61639—471nomaximal, Sylow
897C22×C47—21no—
898C22×C47—21no—
899C22×C47—21no—
900C22×C47—21no—
901C22×C47—21no—
902C22×C47—41no—
903C22×C47—41no—
904C22×C47—41no—
905C22×C47—41no—
906C22×C47—41no—
907C22×C47—41no—
908C22×C47—41no—
909C22×C47—41no—
910C22×C47—41no—
911C22×C47—162no—
912C22×C47#57612yes—
913C22×C47C23×D411yescharacteristic
914C2×D47—21no—
915C2×D47—21no—
916C2×D47—21no—
917C2×D47—21no—
918C2×D47—22no—
919C2×D47—21no—
920C2×D47—21no—
921C2×D47—21no—
922C2×D47—21no—
923C2×D47—21no—
924C2×D47—41no—
925C2×D47—41no—
926C2×D47—41no—
927C2×D47—41no—
928C2×D47—41no—
929C2×D47—41no—
930C2×D47—41no—
931C2×D47—41no—
932C2×D47—41no—
933C2×D47—41no—
934C2×D47—41no—
935C2×D47—82no—
936C2×D47—84no—
937C2×D47—162no—
938C2×D47—162no—
939C2×D47—162no—
940C2×D47—162no—
941C4×C47—21no—
942C4×C47—21no—
943C4×C47—22no—
944C4×C47—21no—
945C4×C47—21no—
946C4×C47—41no—
947C4×C47—41no—
948C4×C47—41no—
949C4×C47—41no—
950C4×C47C2×H(5,𝔽2)11yescharacteristic
951C4×C47C2×H(5,𝔽2)11yescharacteristic
952Dic47—21no—
953Dic47—21no—
954Dic47—21no—
955Dic47—21no—
956Dic47—21no—
957Dic47—41no—
958Dic47—41no—
959Dic47—41no—
960Dic47—41no—
961#3542—471no—
962#3488—471no—
963#3319—471no—
964#3310—471no—
965#3309—471no—
966#3308—471no—
967#3305—471no—
968#3300—471no—
969#3297—471no—
970#3294—471no—
971#3287—471no—
972#3282D4711yescharacteristic, complemented
973#3280—471no—
974D4×D8—471no—
975#3268—471no—
976#3268—471no—
977#3265—471no—
978#3264—471no—
979#3224—471no—
980#3220—471no—
981#3203—471no—
982#3198—471no—
983#3188—471no—
984#3186—471no—
985#3124—471no—
986#3119—471no—
987#3012—471no—
988#3008—471no—
989#3002—471no—
990C2×#449—471no—
991#2977—471no—
992C2×C47—22no—
993C2×C47—41no—
994C2×C47—81no—
995C2×C47—81no—
996C2×C47—81no—
997C2×C47#348411yescharacteristic
998C2×C47C2×#57611yescharacteristic
999C2×C47#358411yescharacteristic
1000D47—41no—
1001D47—41no—
1002D47—41no—
1003D47—42no—
1004D47—81no—
1005D47—81no—
1006D47—81no—
1007C2×H(5,𝔽2)—471no—
1008C22×#41—471no—
1009C2×AGL(1,ℤ/8)—471no—
1010C2×AGL(1,ℤ/8)—471no—
1011C2×#135—471no—
1012C2×#135—471no—
1013C2×#135C2×D4711yescharacteristic, complemented
1014C22×SD16C2×D4711yescharacteristic, complemented
1015C22×D8—471no—
1016C22×D8—471no—
1017#562—941no—
1018#560—941no—
1019#555—471no—
1020#553—471no—
1021#552—471no—
1022#551—941no—
1023#550—471no—
1024#550—471no—
1025#550—471no—
1026#548—471no—
1027#548C2×D4711yescharacteristic, complemented
1028#547—471no—
1029#546—471no—
1030#546—471no—
1031#546—471no—
1032#546—941no—
1033#546—941no—
1034#546—941no—
1035#546C2×D4711yescharacteristic, complemented
1036D42—471no—
1037D42—471no—
1038D42—471no—
1039D42—941no—
1040D42—941no—
1041#542—471no—
1042#540—471no—
1043#540—941no—
1044#538—941no—
1045#537—471no—
1046#537—471no—
1047#537—941no—
1048#535—471no—
1049#535—471no—
1050#535—941no—
1051#535—941no—
1052#534—941no—
1053#525—471no—
1054#525—471no—
1055#525—941no—
1056C2×#121—471no—
1057C2×#121—471no—
1058C2×#121—941no—
1059#520—471no—
1060#496—471no—
1061#496—471no—
1062#495C2×D4711yescharacteristic, complemented
1063#493—471no—
1064#490—471no—
1065#489—471no—
1066#488—471no—
1067#486—471no—
1068#485—471no—
1069#484—471no—
1070#484—471no—
1071#482—471no—
1072#482—471no—
1073#482—471no—
1074#481—471no—
1075#480—471no—
1076#480—471no—
1077#480—471no—
1078#480—471no—
1079#480—471no—
1080#479—471no—
1081#478—471no—
1082#477—471no—
1083#474—471no—
1084#469—471no—
1085#468—471no—
1086#468—471no—
1087#468—471no—
1088#467—471no—
1089#466—471no—
1090#466—471no—
1091#466—471no—
1092#466—471no—
1093#466—471no—
1094#466—471no—
1095#466—471no—
1096#466—471no—
1097#465—471no—
1098#465C2×D4711yescharacteristic, complemented
1099#465C2×D4711yescharacteristic, complemented
1100#464—471no—
1101#464C2×D4711yescharacteristic, complemented
1102#463—471no—
1103#463—471no—
1104#463—471no—
1105#463C2×D4711yescharacteristic, complemented
1106#460—471no—
1107#460—471no—
1108#459—471no—
1109#459—471no—
1110#459—471no—
1111#459—471no—
1112#452—471no—
1113#452—471no—
1114#452—471no—
1115#452C2×D4711yescharacteristic, complemented
1116#451C2×D4711yescharacteristic, complemented
1117#450—471no—
1118#450—471no—
1119#450—471no—
1120#450—471no—
1121#449—471no—
1122#449—471no—
1123#449—471no—
1124#449—471no—
1125#449—471no—
1126#449—471no—
1127#449—471no—
1128#449—471no—
1129#449—471no—
1130#449—471no—
1131#449—471no—
1132#449—471no—
1133#449—471no—
1134#449—471no—
1135#449—471no—
1136#449C2×D4711yescharacteristic, complemented
1137#448—471no—
1138#447—471no—
1139#447—471no—
1140#447—471no—
1141#447—471no—
1142#447—471no—
1143#447—471no—
1144#447—471no—
1145#447—471no—
1146#447—471no—
1147#447C2×D4711yescharacteristic, complemented
1148#442—471no—
1149#440—471no—
1150#440—471no—
1151#440—471no—
1152C4×Q16—471no—
1153C4×SD16C2×D4711yescharacteristic, complemented
1154C4×D8—471no—
1155C4×D8—471no—
1156#435—471no—
1157#435—471no—
1158#435—471no—
1159#435—471no—
1160C8×D4—471no—
1161C8×D4—471no—
1162C8×D4—471no—
1163C8×D4C2×D4711yescharacteristic, complemented
1164#433—471no—
1165#433—471no—
1166#418—471no—
1167#417—471no—
1168#416—471no—
1169#416—471no—
1170#416—471no—
1171C2×#103—471no—
1172C2×#102—471no—
1173C2×#102—471no—
1174#408—471no—
1175#408—471no—
1176C2×C22⋊C8—471no—
1177C2×C22⋊C8—471no—
1178C47#6163911yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—1882no—
1180H(5,𝔽2)—1882no—
1181C2×#41—471no—
1182C2×#41—471no—
1183C2×#41—471no—
1184C2×#41—471no—
1185C2×#41—471no—
1186C2×#41—471no—
1187C2×#41—471no—
1188C2×#41—941no—
1189C2×#41—941no—
1190C2×#41—941no—
1191C2×#41—941no—
1192C2×#41—1882no—
1193C2×#41—1882no—
1194C2×#41C22×D4711yescharacteristic
1195C2×#41C22×D4711yescharacteristic
1196C22×Q8C22×D4711yescharacteristic
1197C22×D4—471no—
1198C22×D4—471no—
1199C22×D4—471no—
1200C22×D4—471no—
1201C22×D4—471no—
1202C22×D4—941no—
1203C22×D4—941no—
1204C22×D4—941no—
1205C22×D4—941no—
1206C22×D4—941no—
1207C22×D4—941no—
1208C22×D4—941no—
1209C22×D4—941no—
1210C22×D4—941no—
1211C22×D4C22×D4711yescharacteristic
1212C23×C4—471no—
1213C23×C4—941no—
1214AGL(1,ℤ/8)—1882no—
1215AGL(1,ℤ/8)—1882no—
1216#135—42no—
1217#135—1882no—
1218#135—1882no—
1219C2×Q16C22×D4711yescharacteristic
1220C2×Q16C22×D4711yescharacteristic
1221C2×SD16—42no—
1222C2×SD16—471no—
1223C2×SD16—471no—
1224C2×SD16—471no—
1225C2×SD16—471no—
1226C2×SD16—471no—
1227C2×SD16C22×D4711yescharacteristic
1228C2×SD16C22×D4711yescharacteristic
1229C2×SD16C22×D4711yescharacteristic
1230C2×SD16C22×D4711yescharacteristic
1231C2×SD16C22×D4711yescharacteristic
1232C2×D8—471no—
1233C2×D8—471no—
1234C2×D8—471no—
1235C2×D8—471no—
1236C2×D8—471no—
1237C2×D8—471no—
1238C2×D8—471no—
1239C2×D8—471no—
1240C2×D8—471no—
1241C2×D8—471no—
1242C2×D8—1882no—
1243C2×D8—1882no—
1244C2×D8C22×D4711yescharacteristic
1245C2×D8C22×D4711yescharacteristic
1246C2×M16—471no—
1247C2×M16—471no—
1248C22×C8—471no—
1249C22×C8—471no—
1250C22×C8—471no—
1251C22×C8—471no—
1252C22×C8C22×D4711yescharacteristic
1253C22×C8C22×D4711yescharacteristic
1254C4⋊Q8—471no—
1255#127—471no—
1256#127—471no—
1257#127—471no—
1258#127—941no—
1259#127—941no—
1260#127—941no—
1261#127—941no—
1262#126—941no—
1263#126—941no—
1264#126—941no—
1265#125—471no—
1266#125—941no—
1267#124—21no—
1268#124—471no—
1269#124—941no—
1270#124—941no—
1271#124—941no—
1272#124—941no—
1273#124—941no—
1274#124C22×D4711yescharacteristic
1275#124C22×D4711yescharacteristic
1276#123—21no—
1277#123—471no—
1278#123—471no—
1279#123—941no—
1280#123—941no—
1281#123—941no—
1282#123—941no—
1283#123—941no—
1284#123—941no—
1285#123—941no—
1286#123—941no—
1287#123—941no—
1288#123—941no—
1289#123—941no—
1290C22⋊Q8—21no—
1291C22⋊Q8—471no—
1292C22⋊Q8—471no—
1293C22⋊Q8—471no—
1294C22⋊Q8—471no—
1295C22⋊Q8—471no—
1296C22⋊Q8—941no—
1297C22⋊Q8—941no—
1298C22⋊Q8—941no—
1299C22⋊Q8—941no—
1300C22⋊Q8—941no—
1301C22⋊Q8C22×D4711yescharacteristic
1302C22⋊Q8C22×D4711yescharacteristic
1303#121—21no—
1304#121—21no—
1305#121—471no—
1306#121—471no—
1307#121—471no—
1308#121—471no—
1309#121—471no—
1310#121—471no—
1311#121—471no—
1312#121—471no—
1313#121—471no—
1314#121—471no—
1315#121—471no—
1316#121—471no—
1317#121—471no—
1318#121—471no—
1319#121—471no—
1320#121—941no—
1321#121—941no—
1322#121—941no—
1323#121—941no—
1324#121—941no—
1325#121—941no—
1326#121—941no—
1327#121—941no—
1328#121—941no—
1329#121—941no—
1330#121—941no—
1331#121—941no—
1332#121—941no—
1333#121—941no—
1334#121—941no—
1335#121—941no—
1336#121—941no—
1337#121—941no—
1338#121—941no—
1339#121—941no—
1340#121—941no—
1341#121—941no—
1342#121—941no—
1343#121—941no—
1344#121—941no—
1345#121—941no—
1346#121—941no—
1347#121—941no—
1348#121—941no—
1349#121C22×D4711yescharacteristic
1350#121C22×D4711yescharacteristic
1351#120—21no—
1352#120—471no—
1353#120—471no—
1354#120—941no—
1355#120—941no—
1356#120—941no—
1357#120—941no—
1358#120—941no—
1359#120—941no—
1360#120—941no—
1361#120—941no—
1362#120—941no—
1363#120—941no—
1364#120—941no—
1365#120—941no—
1366#120—941no—
1367#120—941no—
1368C4×Q8—471no—
1369C4×Q8—471no—
1370C4×Q8C22×D4711yescharacteristic
1371C4×D4—21no—
1372C4×D4—471no—
1373C4×D4—471no—
1374C4×D4—471no—
1375C4×D4—471no—
1376C4×D4—471no—
1377C4×D4—471no—
1378C4×D4—471no—
1379C4×D4—941no—
1380C4×D4—941no—
1381C4×D4—941no—
1382C4×D4—941no—
1383C4×D4—941no—
1384C4×D4—941no—
1385C4×D4—941no—
1386C4×D4—941no—
1387C4×D4—941no—
1388C4×D4C22×D4711yescharacteristic
1389C4×D4C22×D4711yescharacteristic
1390#117—471no—
1391#117—471no—
1392#117—471no—
1393#117—941no—
1394#117—941no—
1395#117—941no—
1396C2×C4⋊C4—471no—
1397C2×C4⋊C4—471no—
1398C2×C4⋊C4—471no—
1399C2×C4⋊C4—941no—
1400C2×C22⋊C4—21no—
1401C2×C22⋊C4—941no—
1402C2×C22⋊C4—941no—
1403C2×C22⋊C4—941no—
1404C2×C22⋊C4—941no—
1405C2×C22⋊C4—941no—
1406#107—471no—
1407#107—471no—
1408#107—471no—
1409#107—471no—
1410#107—471no—
1411#107—471no—
1412#106—471no—
1413#106C22×D4711yescharacteristic
1414C4⋊C8—471no—
1415C4⋊C8—471no—
1416C4⋊C8—471no—
1417C4⋊C8C22×D4711yescharacteristic
1418#103—471no—
1419#103—471no—
1420#103—471no—
1421#103—471no—
1422#103—471no—
1423#103—471no—
1424#103—471no—
1425#103C22×D4711yescharacteristic
1426#103C22×D4711yescharacteristic
1427#103C22×D4711yescharacteristic
1428#102—471no—
1429#102—471no—
1430#102—471no—
1431#102—471no—
1432#102—471no—
1433#102—471no—
1434#102—471no—
1435#102—471no—
1436#102—471no—
1437#102—471no—
1438#102—471no—
1439#102—471no—
1440#102—471no—
1441#102—471no—
1442#102—471no—
1443#102—471no—
1444#102—471no—
1445#102—471no—
1446#102—471no—
1447#102C22×D4711yescharacteristic
1448#102C22×D4711yescharacteristic
1449#102C22×D4711yescharacteristic
1450C22⋊C8—471no—
1451C22⋊C8—471no—
1452C22⋊C8—471no—
1453C22⋊C8—471no—
1454C22⋊C8—471no—
1455C22⋊C8—471no—
1456C22⋊C8—471no—
1457C22⋊C8—471no—
1458C22⋊C8—471no—
1459C22⋊C8—471no—
1460C22⋊C8C22×D4711yescharacteristic
1461C22⋊C8C22×D4711yescharacteristic
1462#97—471no—
1463#97—471no—
1464C4×C8—471no—
1465C4×C8C22×D4711yescharacteristic
1466C24—21no—
1467C24—471no—
1468C24—941no—
1469C24—941no—
1470C24—941no—
1471C24—941no—
1472C24—941no—
1473#41—22no—
1474#41—41no—
1475#41—41no—
1476#41—41no—
1477#41—942no—
1478#41—942no—
1479#41—942no—
1480#41—942no—
1481#41—942no—
1482#41—3762no—
1483#41—1881no—
1484#41—1881no—
1485#41—1884no—
1486#41—1881no—
1487#41—1881no—
1488#41—1881no—
1489#41—1881no—
1490#41—1881no—
1491#41—1881no—
1492#41—1881no—
1493#41—1884no—
1494#41—1884no—
1495C2×Q8—21no—
1496C2×Q8—22no—
1497C2×Q8—41no—
1498C2×Q8—471no—
1499C2×Q8—941no—
1500C2×Q8C23×D4711yescharacteristic
1501C2×Q8C23×D4711yescharacteristic
1502C2×Q8C23×D4711yescharacteristic
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—41no—
1509C2×D4—41no—
1510C2×D4—471no—
1511C2×D4—471no—
1512C2×D4—471no—
1513C2×D4—471no—
1514C2×D4—471no—
1515C2×D4—471no—
1516C2×D4—471no—
1517C2×D4—471no—
1518C2×D4—471no—
1519C2×D4—471no—
1520C2×D4—942no—
1521C2×D4—942no—
1522C2×D4—941no—
1523C2×D4—941no—
1524C2×D4—941no—
1525C2×D4—941no—
1526C2×D4—941no—
1527C2×D4—941no—
1528C2×D4—941no—
1529C2×D4—941no—
1530C2×D4—941no—
1531C2×D4—941no—
1532C2×D4—941no—
1533C2×D4—941no—
1534C2×D4—941no—
1535C2×D4—941no—
1536C2×D4—941no—
1537C2×D4—941no—
1538C2×D4—942no—
1539C2×D4—941no—
1540C2×D4—941no—
1541C2×D4—941no—
1542C2×D4—941no—
1543C2×D4—941no—
1544C2×D4—941no—
1545C2×D4—941no—
1546C2×D4—941no—
1547C2×D4—941no—
1548C2×D4—941no—
1549C2×D4—941no—
1550C2×D4—941no—
1551C2×D4—941no—
1552C2×D4—941no—
1553C2×D4—3762no—
1554C2×D4—3762no—
1555C2×D4—3762no—
1556C2×D4—3762no—
1557C2×D4—3762no—
1558C2×D4—1881no—
1559C2×D4—1881no—
1560C2×D4—1884no—
1561C2×D4—1884no—
1562C2×D4—1881no—
1563C2×D4—1881no—
1564C2×D4—1881no—
1565C2×D4—1881no—
1566C2×D4—1881no—
1567C2×D4—1884no—
1568C2×D4—1884no—
1569C2×D4D4×D4711yescharacteristic
1570C2×D4C23×D4711yescharacteristic
1571C2×D4C23×D4711yescharacteristic
1572C2×D4C23×D4711yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
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—1881no—
1597C22×C4—1881no—
1598C22×C4—1884no—
1599C22×C4C23×D4711yescharacteristic
1600C22×C4C23×D4711yescharacteristic
1601Q16—22no—
1602Q16—41no—
1603SD16—22no—
1604SD16—22no—
1605SD16—41no—
1606SD16—41no—
1607SD16—41no—
1608SD16—942no—
1609SD16—942no—
1610SD16—1881no—
1611SD16—1881no—
1612SD16—1881no—
1613D8—41no—
1614D8—41no—
1615D8—942no—
1616D8—942no—
1617D8—942no—
1618D8—1881no—
1619D8—1881no—
1620D8—1881no—
1621D8—1881no—
1622D8—1881no—
1623D8—1881no—
1624D8—1881no—
1625M16—1881no—
1626M16—1881no—
1627C2×C8—41no—
1628C2×C8—41no—
1629C2×C8—471no—
1630C2×C8—471no—
1631C2×C8—471no—
1632C2×C8—471no—
1633C2×C8—1881no—
1634C2×C8—1881no—
1635C2×C8—1881no—
1636C2×C8—1881no—
1637C2×C8C23×D4711yescharacteristic
1638C2×C8C23×D4711yescharacteristic
1639C2×C8C23×D4711yescharacteristic
1640C2×C8C23×D4711yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—471no—
1645C4⋊C4—471no—
1646C4⋊C4—471no—
1647C4⋊C4—471no—
1648C4⋊C4—471no—
1649C4⋊C4—471no—
1650C4⋊C4—471no—
1651C4⋊C4—471no—
1652C4⋊C4—471no—
1653C4⋊C4—941no—
1654C4⋊C4—941no—
1655C4⋊C4—941no—
1656C4⋊C4—941no—
1657C4⋊C4—941no—
1658C4⋊C4—941no—
1659C4⋊C4—941no—
1660C4⋊C4—941no—
1661C4⋊C4—941no—
1662C4⋊C4—941no—
1663C4⋊C4—941no—
1664C4⋊C4D4×D4711yescharacteristic
1665C4⋊C4C23×D4711yescharacteristic
1666C4⋊C4C23×D4711yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—471no—
1677C22⋊C4—471no—
1678C22⋊C4—471no—
1679C22⋊C4—471no—
1680C22⋊C4—471no—
1681C22⋊C4—471no—
1682C22⋊C4—471no—
1683C22⋊C4—471no—
1684C22⋊C4—941no—
1685C22⋊C4—941no—
1686C22⋊C4—941no—
1687C22⋊C4—941no—
1688C22⋊C4—941no—
1689C22⋊C4—941no—
1690C22⋊C4—941no—
1691C22⋊C4—941no—
1692C22⋊C4—941no—
1693C22⋊C4—941no—
1694C22⋊C4—941no—
1695C22⋊C4—941no—
1696C22⋊C4—941no—
1697C22⋊C4—941no—
1698C22⋊C4—941no—
1699C22⋊C4—941no—
1700C22⋊C4—941no—
1701C22⋊C4—941no—
1702C22⋊C4—941no—
1703C22⋊C4—941no—
1704C22⋊C4—941no—
1705C22⋊C4—941no—
1706C22⋊C4—941no—
1707C22⋊C4—941no—
1708C22⋊C4D4×D4711yescharacteristic
1709C22⋊C4D4×D4711yescharacteristic
1710C42—21no—
1711C42—471no—
1712C42—941no—
1713C42—941no—
1714C42—941no—
1715C42—941no—
1716C42C23×D4711yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—42no—
1721C23—81no—
1722C23—81no—
1723C23—471no—
1724C23—471no—
1725C23—471no—
1726C23—942no—
1727C23—941no—
1728C23—941no—
1729C23—941no—
1730C23—941no—
1731C23—3761no—
1732C23—3761no—
1733C23—3761no—
1734C23—3761no—
1735C23—3761no—
1736C23—3761no—
1737C23—3761no—
1738C23—3761no—
1739C23—3761no—
1740C23—3761no—
1741C23—1881no—
1742C23—1881no—
1743C23—1882no—
1744C23—1882no—
1745C23—1882no—
1746C23—1882no—
1747C23—1882no—
1748C23C2×D4×D4711yescharacteristic
1749C23C2×D4×D4711yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—42no—
1756Q8—3761no—
1757Q8—1881no—
1758Q8#1309406912yes—
1759D4—22no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—42no—
1767D4—42no—
1768D4—81no—
1769D4—81no—
1770D4—81no—
1771D4—472no—
1772D4—944no—
1773D4—942no—
1774D4—941no—
1775D4—941no—
1776D4—941no—
1777D4—941no—
1778D4—941no—
1779D4—941no—
1780D4—941no—
1781D4—3761no—
1782D4—3761no—
1783D4—3761no—
1784D4—3761no—
1785D4—3761no—
1786D4—3761no—
1787D4—3761no—
1788D4—3761no—
1789D4—3761no—
1790D4—3761no—
1791D4—3761no—
1792D4—3761no—
1793D4—3761no—
1794D4—3761no—
1795D4—3761no—
1796D4—3761no—
1797D4—3761no—
1798D4—3761no—
1799D4—3761no—
1800D4—1881no—
1801D4—1881no—
1802D4—1882no—
1803D4—1882no—
1804D4—1882no—
1805D4—1882no—
1806D4—1882no—
1807D4—1882no—
1808D4—1881no—
1809D4—1881no—
1810D4—1881no—
1811D4—1882no—
1812D4—1882no—
1813D4—1882no—
1814D4—1882no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—42no—
1825C2×C4—42no—
1826C2×C4—81no—
1827C2×C4—81no—
1828C2×C4—471no—
1829C2×C4—471no—
1830C2×C4—471no—
1831C2×C4—471no—
1832C2×C4—471no—
1833C2×C4—944no—
1834C2×C4—941no—
1835C2×C4—941no—
1836C2×C4—941no—
1837C2×C4—941no—
1838C2×C4—941no—
1839C2×C4—941no—
1840C2×C4—941no—
1841C2×C4—941no—
1842C2×C4—941no—
1843C2×C4—941no—
1844C2×C4—3761no—
1845C2×C4—3761no—
1846C2×C4—3761no—
1847C2×C4—3761no—
1848C2×C4—3761no—
1849C2×C4—3761no—
1850C2×C4—3761no—
1851C2×C4—1881no—
1852C2×C4—1881no—
1853C2×C4—1882no—
1854C2×C4—1882no—
1855C2×C4—1882no—
1856C2×C4—1882no—
1857C2×C4—1881no—
1858C2×C4—1882no—
1859C2×C4C2×D4×D4711yescharacteristic
1860C2×C4C2×D4×D4711yescharacteristic
1861C2×C4C2×D4×D4711yescharacteristic
1862C2×C4C2×D4×D4711yescharacteristic
1863C2×C4C24×D4711yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—941no—
1869C8—941no—
1870C8—941no—
1871C8—941no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—162no—
1887C22—941no—
1888C22—941no—
1889C22—941no—
1890C22—941no—
1891C22—941no—
1892C22—941no—
1893C22—942no—
1894C22—941no—
1895C22—941no—
1896C22—941no—
1897C22—3764no—
1898C22—3762no—
1899C22—1881no—
1900C22—1881no—
1901C22—1881no—
1902C22—1881no—
1903C22—1881no—
1904C22—1881no—
1905C22—1881no—
1906C22—1881no—
1907C22—1881no—
1908C22—1881no—
1909C22—1881no—
1910C22—7522no—
1911C22—7522no—
1912C22—7522no—
1913C22—7522no—
1914C22#1568992512yes—
1915C22C22×D4×D4711yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—22no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—941no—
1926C4—941no—
1927C4—941no—
1928C4—941no—
1929C4—941no—
1930C4—1881no—
1931C4—1881no—
1932C4—1881no—
1933C4—1881no—
1934C4H(5,𝔽2)×D4711yescharacteristic
1935C4C2×#1309406911yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—81no—
1939C2—81no—
1940C2—81no—
1941C2—3761no—
1942C2—3761no—
1943C2—3761no—
1944C2—1881no—
1945C2—1881no—
1946C2—1881no—
1947C2—1882no—
1948C2#2025701611yescharacteristic
1949C2C2×#1568992511yescharacteristic
1950C2#2025816011yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3282C2
socleC22×C47C23×D4
hypercenter#3282D47
hypocenterC47#61639
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #20257690C2semidirect
2. #20257054C2semidirect
3. #20255551C2semidirect
4. #20255415C2semidirect
5. #20255387C2semidirect
6. #20255379C2semidirect
7. #20255340C2semidirect
8. #20255279C2semidirect
9. #20255244C2semidirect
10. #20255202C2semidirect
11. #20255142C2semidirect
12. #20255072C2semidirect
13. #20255058C2semidirect
14. #20254931C2semidirect
15. #20254923C2semidirect
16. #20254883C2semidirect
17. #20254869C2semidirect
18. #20254475C2semidirect
19. #20254435C2semidirect
20. #20254289C2semidirect
21. #20254243C2semidirect
22. #20254154C2semidirect
23. #20254137C2semidirect
24. #20253649C2semidirect
25. #20253593C2semidirect
26. #20252688C2semidirect
27. #20252653C2semidirect
28. #20252611C2semidirect
29. C2×#15689267C2semidirect
30. #20252441C2semidirect
31. C47×#3282C2semidirect
32. C2×#13094070C22semidirect
33. C22×#10625354C22semidirect
34. C2×#13094051C22semidirect
35. C2×#13094049C22semidirect
36. C2×#13094047C22semidirect
37. C2×#13094047C22semidirect
38. C22×#10625334C22semidirect
39. C2×D8×D47C22semidirect
42. #15689838C22semidirect
43. #15689825C22semidirect
44. #15689815C22semidirect
46. #15689795C22semidirect
47. #15689792C22semidirect
48. #15689792C22semidirect
50. #15689777C22semidirect
52. #15689766C22semidirect
53. #15689766C22semidirect
55. #15689764C22semidirect
58. D4×D188C22semidirect
61. D4×C22⋊D47C22semidirect
62. #15689742C22semidirect
64. #15689724C22semidirect
67. #15689703C22semidirect
68. #15689701C22semidirect
70. #15689691C22semidirect
71. #15689689C22semidirect
74. #15689636C22semidirect
77. C2×#13093995C22semidirect
79. #121×D47C22semidirect
80. #15689605C22semidirect
81. #15689513C22semidirect
82. #15689509C22semidirect
83. #15689498C22semidirect
84. #15689486C22semidirect
85. #15689482C22semidirect
86. #15689479C22semidirect
87. #15689470C22semidirect
88. #15689463C22semidirect
89. #15689457C22semidirect
90. #15689456C22semidirect
91. #15689449C22semidirect
92. #15689449C22semidirect
93. #15689445C22semidirect
94. #15689443C22semidirect
95. #15689437C22semidirect
96. #15689437C22semidirect
97. #15689435C22semidirect
98. #15689435C22semidirect
99. #15689434C22semidirect
100. #15689432C22semidirect
101. #15689422C22semidirect
102. #15689418C22semidirect
103. #15689404C22semidirect
104. #15689374C22semidirect
105. #15689372C22semidirect
106. #15689371C22semidirect
107. #15689366C22semidirect
108. #15689361C22semidirect
109. #15689359C22semidirect
110. #15689359C22semidirect
111. #15689358C22semidirect
112. #15689358C22semidirect
113. #15689358C22semidirect
114. #15689357C22semidirect
115. #15689356C22semidirect
116. #15689356C22semidirect
117. #15689354C22semidirect
118. #15689347C22semidirect
119. #15689340C22semidirect
120. #15689335C22semidirect
121. #15689335C22semidirect
122. #15689321C22semidirect
123. #15689321C22semidirect
124. #15689319C22semidirect
125. #15689318C22semidirect
126. #15689317C22semidirect
127. #15689316C22semidirect
128. #15689284C22semidirect
129. #15689284C22semidirect
130. #15689284C22semidirect
131. #15689273C22semidirect
132. #15689272C22semidirect
133. #15689272C22semidirect
134. #15689272C22semidirect
135. #15689271C22semidirect
136. #15689271C22semidirect
137. #15689271C22semidirect
138. #15689268C22semidirect
139. #15689268C22semidirect
141. #15689267C22semidirect
142. #15689267C22semidirect
143. #15689267C22semidirect
144. #15689267C22semidirect
145. #15689267C22semidirect
146. #15689267C22semidirect
147. #15689267C22semidirect
148. #15689267C22semidirect
149. #15689267C22semidirect
150. #15689262C22semidirect
151. #15689259C22semidirect
152. #15689259C22semidirect
153. #15689258C22semidirect
154. #15689258C22semidirect
155. #15689257C22semidirect
156. #15689256C22semidirect
157. #15689255C22semidirect
158. #15689255C22semidirect
159. #15689255C22semidirect
160. #15689233C22semidirect
161. #15689226C22semidirect
162. #15689224C22semidirect
163. #15689221C22semidirect
164. Q16×Dic47C22semidirect
165. C4×D376C22semidirect
166. #15689203C22semidirect
167. #15689197C22semidirect
168. #15689195C22semidirect
169. #15689194C22semidirect
170. #15689193C22semidirect
171. C8×D188C22semidirect
172. C8×C22⋊D47C22semidirect
173. (C22⋊D47)⋊C8C22semidirect
174. #15689183C22semidirect
175. #15689182C22semidirect
176. #15689126C22semidirect
177. #15689124C22semidirect
178. #15689118C22semidirect
179. #15689118C22semidirect
180. #15689118C22semidirect
181. C2×#13093948C22semidirect
182. C2×#13093946C22semidirect
183. C2×#13093946C22semidirect
184. #15689089C22semidirect
185. #15689088C22semidirect
186. C2×(C2×D47)⋊C8C22semidirect
187. C22⋊C8×D47C22semidirect
188. C2×#135×C47C22semidirect
189. C22×SD16×C47C22semidirect
190. C47×#548C22semidirect
191. C47×#546C22semidirect
192. C47×#495C22semidirect
193. C47×#465C22semidirect
194. C47×#465C22semidirect
195. C47×#464C22semidirect
196. C47×#463C22semidirect
197. C47×#452C22semidirect
198. C47×#451C22semidirect
199. C47×#449C22semidirect
200. C47×#447C22semidirect
201. C4×SD16×C47C22semidirect
202. C8×D4×C47C22semidirect
972. #3282D47semidirect
1013. C2×#135C2×D47semidirect
1014. C22×SD16C2×D47semidirect
1027. #548C2×D47semidirect
1035. #546C2×D47semidirect
1062. #495C2×D47semidirect
1098. #465C2×D47semidirect
1099. #465C2×D47semidirect
1101. #464C2×D47semidirect
1105. #463C2×D47semidirect
1115. #452C2×D47semidirect
1116. #451C2×D47semidirect
1136. #449C2×D47semidirect
1147. #447C2×D47semidirect
1153. C4×SD16C2×D47semidirect
1163. C8×D4C2×D47semidirect
1178. C47#61639semidirect

Maximal subgroups

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

subgroupindex
#202576902
#202570542
#202555512
#202554152
#202553872
#202553792
#202553402
#202552792
#202552442
#202552022
#202551422
#202550722
#202550582
#202549312
#202549232
#202548832
#202548692
#202544752
#202544352
#202542892
#202542432
#202541542
#202541372
#202536492
#202535932
#202526882
#202526532
#202526112
C2×#156892672
#202524412
C47×#32822
#6163947