Finite Group Databasebeta

← #27110079

Subgroups — #27110079

Order 12032.

1860 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257964C211yesmaximal, characteristic, complemented
2#20257334C211yesmaximal, characteristic, complemented
3#20256453C211yesmaximal, characteristic, complemented
4#20256397C211yesmaximal, characteristic, complemented
5#20256140C211yesmaximal, characteristic, complemented
6#20256042C211yesmaximal, characteristic, complemented
7#20255692C211yesmaximal, characteristic, complemented
8#20255660C211yesmaximal, characteristic, complemented
9#20255645C211yesmaximal, characteristic, complemented
10#20255518C211yesmaximal, characteristic, complemented
11#20255348C211yesmaximal, characteristic, complemented
12#20255231C211yesmaximal, characteristic, complemented
13#20255088C211yesmaximal, characteristic, complemented
14#20255001C211yesmaximal, characteristic, complemented
15#20254997C211yesmaximal, characteristic, complemented
16#20254992C211yesmaximal, characteristic, complemented
17#20254912C211yesmaximal, characteristic, complemented
18#20254876C211yesmaximal, characteristic, complemented
19#20254831C211yesmaximal, characteristic, complemented
20#20254799C211yesmaximal, characteristic, complemented
21#20254787C211yesmaximal, characteristic, complemented
22#20254435C211yesmaximal, characteristic, complemented
23#20254369C211yesmaximal, characteristic, complemented
24#20253632C211yesmaximal, characteristic, complemented
25#20253601C211yesmaximal, characteristic, complemented
26#20253434C211yesmaximal, characteristic, complemented
27#20252930C211yesmaximal, characteristic, complemented
28#20252896C211yesmaximal, characteristic, complemented
29#20252853C211yesmaximal, characteristic, complemented
30#20252531C211yesmaximal, characteristic, complemented
31C47×#3225C211yesmaximal, characteristic, complemented
32C2×#13094051C2211yescharacteristic
33C2×#13094051C2211yescharacteristic
34C2×#13094051C2211yescharacteristic, complemented
35C2×#13094049C2211yescharacteristic
36C2×#13094047C2211yescharacteristic
37C22×#10625336C2211yescharacteristic, complemented
38#15689869—21no—
39#15689863—21no—
40#15689855C2211yescharacteristic, complemented
41#15689855C2211yescharacteristic, complemented
42#15689847C2211yescharacteristic, complemented
43#15689834C2211yescharacteristic, complemented
44#15689824—21no—
45#15689820C2211yescharacteristic
46#15689818—21no—
47#15689807C2211yescharacteristic, complemented
48#15689803—21no—
49#15689800—21no—
50#15689798—21no—
51#15689792C2211yescharacteristic
52#15689784C2211yescharacteristic
53#15689784C2211yescharacteristic, complemented
54#15689776C2211yescharacteristic
55#15689776C2211yescharacteristic, complemented
56#15689766—21no—
57#15689766C2211yescharacteristic
58#15689766C2211yescharacteristic, complemented
59#15689764C2211yescharacteristic
60#15689761C2211yescharacteristic, complemented
61#15689757C2211yescharacteristic, complemented
62#15689734C2211yescharacteristic, complemented
63#15689728C2211yescharacteristic, complemented
64#15689725—21no—
65#15689724C2211yescharacteristic
66#15689719—21no—
67#15689719—21no—
68#15689713—21no—
69#15689709—21no—
70#15689709—21no—
71#15689691C2211yescharacteristic, complemented
72#15689674C2211yescharacteristic, complemented
73#15689660C2211yescharacteristic, complemented
74#15689652C2211yescharacteristic, complemented
75#15689651C2211yescharacteristic
76#15689636—21no—
77#123×D47—21no—
78#15689605C2211yescharacteristic
79#15689597C2211yescharacteristic, complemented
80C4×D4×D47C2211yescharacteristic, complemented
81#15689509C2211yescharacteristic
82#15689508C2211yescharacteristic, complemented
83#15689508C2211yescharacteristic, complemented
84#15689498C2211yescharacteristic
85#15689486C2211yescharacteristic, complemented
86#15689479C2211yescharacteristic, complemented
87#15689479C2211yescharacteristic, complemented
88#15689479C2211yescharacteristic, complemented
89#15689457C2211yescharacteristic, complemented
90#15689457C2211yescharacteristic, complemented
91#15689452C2211yescharacteristic, complemented
92#15689448C2211yescharacteristic, complemented
93#15689448C2211yescharacteristic, complemented
94#15689440C2211yescharacteristic, complemented
95#15689432C2211yescharacteristic, complemented
96#15689432C2211yescharacteristic, complemented
97#15689430C2211yescharacteristic, complemented
98#15689428C2211yescharacteristic, complemented
99#15689425C2211yescharacteristic, complemented
100#15689424C2211yescharacteristic, complemented
101#15689424C2211yescharacteristic, complemented
102#15689423C2211yescharacteristic, complemented
103#15689410C2211yescharacteristic, complemented
104#15689400C2211yescharacteristic, complemented
105#15689378C2211yescharacteristic, complemented
106#15689375C2211yescharacteristic
107#15689374C2211yescharacteristic, complemented
108#15689372C2211yescharacteristic, complemented
109#15689372C2211yescharacteristic, complemented
110#15689371C2211yescharacteristic, complemented
111#15689366C2211yescharacteristic, complemented
112#15689366C2211yescharacteristic, complemented
113#15689357C2211yescharacteristic
114#15689355C2211yescharacteristic, complemented
115#15689354C2211yescharacteristic, complemented
116#15689349C2211yescharacteristic, complemented
117#15689347C2211yescharacteristic, complemented
118#15689347C2211yescharacteristic, complemented
119#15689341C2211yescharacteristic
120#15689341C2211yescharacteristic
121#15689341C2211yescharacteristic, complemented
122#15689340C2211yescharacteristic, complemented
123#15689340C2211yescharacteristic, complemented
124#15689340C2211yescharacteristic, complemented
125#15689335C2211yescharacteristic
126#15689335C2211yescharacteristic
127#15689335C2211yescharacteristic, complemented
128#15689335C2211yescharacteristic, complemented
129#15689335C2211yescharacteristic, complemented
130#15689335C2211yescharacteristic, complemented
131#15689325C2211yescharacteristic, complemented
132#15689325C2211yescharacteristic, complemented
133#15689325C2211yescharacteristic, complemented
134#15689325C2211yescharacteristic, complemented
135#15689323C2211yescharacteristic, complemented
136#15689321C2211yescharacteristic, complemented
137#15689321C2211yescharacteristic, complemented
138#15689321C2211yescharacteristic, complemented
139#15689319C2211yescharacteristic
140#15689319C2211yescharacteristic, complemented
141#15689318C2211yescharacteristic, complemented
142#15689317C2211yescharacteristic
143#15689284C2211yescharacteristic
144#15689284C2211yescharacteristic
145#15689284C2211yescharacteristic, complemented
146#15689284C2211yescharacteristic, complemented
147#15689272C2211yescharacteristic, complemented
148#15689271C2211yescharacteristic
149#15689271C2211yescharacteristic, complemented
150#15689271C2211yescharacteristic, complemented
151#15689267C2211yescharacteristic, complemented
152#15689259C2211yescharacteristic
153#15689259C2211yescharacteristic, complemented
154#15689258C2211yescharacteristic, complemented
155#15689255C2211yescharacteristic
156#15689255C2211yescharacteristic, complemented
157#15689251C2211yescharacteristic, complemented
158C8×Dic94C2211yescharacteristic, complemented
159#15689236C2211yescharacteristic, complemented
160#15689236C2211yescharacteristic, complemented
161#15689230C2211yescharacteristic, complemented
162#15689226C2211yescharacteristic, complemented
163Q16×Dic47C2211yescharacteristic, complemented
164SD16×Dic47C2211yescharacteristic, complemented
165#15689208C2211yescharacteristic, complemented
166#15689208C2211yescharacteristic, complemented
167C4×D376C2211yescharacteristic
168C4×D376C2211yescharacteristic, complemented
169D8×Dic47C2211yescharacteristic, complemented
170#15689203C2211yescharacteristic
171#15689202C2211yescharacteristic, complemented
172#15689198C2211yescharacteristic, complemented
173#15689198C2211yescharacteristic, complemented
174#15689196C2211yescharacteristic, complemented
175#15689191C2211yescharacteristic, complemented
176(C22⋊D47)⋊C8C2211yescharacteristic, complemented
177#15689183C2211yescharacteristic, complemented
178#15689175C2211yescharacteristic, complemented
179#15689150C2211yescharacteristic, complemented
180#15689148C2211yescharacteristic, complemented
181#15689145C2211yescharacteristic, complemented
182#15689132C2211yescharacteristic, complemented
183#15689123C2211yescharacteristic, complemented
184#15689123C2211yescharacteristic, complemented
185#15689123C2211yescharacteristic, complemented
186#15689119C2211yescharacteristic, complemented
187#102×D47C2211yescharacteristic, complemented
188C47×#542C2211yescharacteristic, complemented
189C47×#536C2211yescharacteristic, complemented
190C47×#497C2211yescharacteristic, complemented
191C47×#495C2211yescharacteristic, complemented
192C47×#489C2211yescharacteristic, complemented
193C47×#487C2211yescharacteristic, complemented
194C47×#464C2211yescharacteristic, complemented
195C47×#463C2211yescharacteristic, complemented
196C47×#462C2211yescharacteristic, complemented
197C47×#461C2211yescharacteristic, complemented
198C47×#452C2211yescharacteristic, complemented
199C47×#451C2211yescharacteristic, complemented
200C47×#449C2211yescharacteristic
201C47×#448C2211yescharacteristic, complemented
202C47×#433C2211yescharacteristic, complemented
203C2×#10625354—21no—
204C2×#10625354C2311yescharacteristic
205C2×#10625354C2311yescharacteristic
206C2×#10625354C2311yescharacteristic
207C2×#10625354C2311yescharacteristic
208C22×D188C2311yescharacteristic
209C2×D4×D47—21no—
210C2×D4×D47C2311yescharacteristic
211C2×D4×D47C2311yescharacteristic
212C22×C4×D47—21no—
213#13094051—42no—
214#13094051—42no—
215#13094051—42no—
216#13094049—42no—
217#13094047—42no—
218C2×#10625336—42no—
219C2×#10625336C2311yescharacteristic
220C2×#10625336C2311yescharacteristic
221C2×#10625336C2311yescharacteristic
222C2×#10625336C2311yescharacteristic
223C2×#10625336C2311yescharacteristic
224C2×#10625336C2311yescharacteristic
225C2×#10625336C2311yescharacteristic
226C2×#10625336C2311yescharacteristic
227C2×D376C2311yescharacteristic
228C2×D376C2311yescharacteristic
229C2×D376C2311yescharacteristic
230C2×D376C2311yescharacteristic
231C2×#10625334C2311yescharacteristic
232C2×#10625334C2311yescharacteristic
233C2×#10625334C2311yescharacteristic
234C2×#10625334C2311yescharacteristic
235C2×#10625329C2311yescharacteristic
236C2×#10625324C2311yescharacteristic
237C2×#10625324C2311yescharacteristic
238C2×#10625324C2311yescharacteristic
239C22×C47⋊C8C2311yescharacteristic
240C2×C8×D47C2311yescharacteristic
241#13094021C2311yescharacteristic
242#13094020—21no—
243#13094020C2311yescharacteristic
244#13094020C2311yescharacteristic
245#13094019—21no—
246#13094019—21no—
247#13094019—21no—
248#13094019—21no—
249#13094019—21no—
250#13094019D411yescharacteristic
251#13094017—21no—
252#13094017—21no—
253#13094017—21no—
254#13094017D411yescharacteristic
255#13094016C2311yescharacteristic
256#13094015C2311yescharacteristic
257#13094015C2311yescharacteristic
258#13094014—21no—
259#13094014—21no—
260#13094014—21no—
261#13094014D411yescharacteristic
262#13094013—21no—
263#13094013—21no—
264#13094013C2311yescharacteristic
265#13094013C2311yescharacteristic
266#13094013C2311yescharacteristic
267#13094013C2311yescharacteristic
268#13094010—21no—
269#13094010—21no—
270#13094010D411yescharacteristic
271#13094009—21no—
272#13094009—21no—
273#13094009—21no—
274#13094009—21no—
275#13094009—21no—
276#13094009—21no—
277#13094009—21no—
278#13094009—21no—
279#13094009D411yescharacteristic
280#13094008—21no—
281#13094008—21no—
282#13094007—21no—
283#13094007—21no—
284#13094006—21no—
285#13094006—21no—
286#13094006—21no—
287#13094006—21no—
288#13094006—21no—
289#13094006—21no—
290#13094006—21no—
291#13094006D411yescharacteristic
292#13094005—21no—
293#13094004—21no—
294#13094004—21no—
295#13094002D411yescharacteristic
296#13094000—21no—
297#13094000—21no—
298#13094000—21no—
299#13094000—21no—
300#13094000—21no—
301#13094000C2311yescharacteristic
302#13094000C2311yescharacteristic
303#13094000C2311yescharacteristic
304#13094000C2311yescharacteristic
305#13093999—21no—
306#13093999—21no—
307#13093999—21no—
308#13093999—21no—
309#13093999C2311yescharacteristic
310#13093999C2311yescharacteristic
311#13093998—21no—
312#13093998—21no—
313#13093998—21no—
314#13093998—21no—
315#13093998C2311yescharacteristic
316#13093998C2311yescharacteristic
317#13093997—21no—
318#13093997—21no—
319#13093997—21no—
320#13093997—21no—
321#13093997—21no—
322#13093997—21no—
323#13093997—21no—
324#13093997—21no—
325#13093997D411yescharacteristic
326#13093996—21no—
327#13093995—21no—
328#13093995—21no—
329#13093995C2311yescharacteristic
330#13093995C2311yescharacteristic
331#13093994—21no—
332#13093994—21no—
333#13093994—21no—
334#13093994—21no—
335#13093994—21no—
336#13093994—21no—
337#13093992—21no—
338#13093992—21no—
339Q8×Dic47C2311yescharacteristic
340Q8×Dic47C2311yescharacteristic
341Q8×Dic47C2311yescharacteristic
342Q8×Dic47C2311yescharacteristic
343C4×Dic94C2311yescharacteristic
344C4×D188—21no—
345C4×D188—21no—
346C4×D188C2311yescharacteristic
347C4×D188C2311yescharacteristic
348C4×D188C2311yescharacteristic
349C4×D188C2311yescharacteristic
350C4×D188C2311yescharacteristic
351C4×D188C2311yescharacteristic
352C4×D188C2311yescharacteristic
353D4×Dic47C2311yescharacteristic
354D4×Dic47C2311yescharacteristic
355#13093986—21no—
356#13093986—21no—
357#13093986—21no—
358#13093986—21no—
359#13093986—21no—
360#13093986C2311yescharacteristic
361#13093986C2311yescharacteristic
362C4×C22⋊D47—21no—
363C4×C22⋊D47—21no—
364C4×C22⋊D47—21no—
365C4×C22⋊D47—21no—
366C4×C22⋊D47C2311yescharacteristic
367C4×C22⋊D47C2311yescharacteristic
368(C22⋊D47)⋊C4—21no—
369(C22⋊D47)⋊C4—21no—
370(C22⋊D47)⋊C4—21no—
371(C22⋊D47)⋊C4—21no—
372(C22⋊D47)⋊C4—21no—
373#13093983C2311yescharacteristic
374#13093982—21no—
375#13093982—21no—
376#13093981—21no—
377#13093981—21no—
378#13093981C2311yescharacteristic
379#13093980—21no—
380C4⋊C4×D47—21no—
381C4⋊C4×D47—21no—
382C4⋊C4×D47—21no—
383C4⋊C4×D47C2311yescharacteristic
384C4⋊C4×D47C2311yescharacteristic
385C2×(C2×D47)⋊C4—21no—
386C22⋊C4×D47—21no—
387C22⋊C4×D47—21no—
388C22⋊C4×D47—21no—
389C22⋊C4×D47—21no—
390C22⋊C4×D47—21no—
391C22⋊C4×D47—21no—
392C42×D47C2311yescharacteristic
393#13093958C2311yescharacteristic
394#13093958C2311yescharacteristic
395#13093957C2311yescharacteristic
396#13093957C2311yescharacteristic
397#13093956C2311yescharacteristic
398#13093956C2311yescharacteristic
399#13093955C2311yescharacteristic
400#13093955C2311yescharacteristic
401C4⋊(C47⋊C8)C2311yescharacteristic
402C4⋊(C47⋊C8)C2311yescharacteristic
403C4⋊(C47⋊C8)C2311yescharacteristic
404C4⋊(C47⋊C8)C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406Dic47⋊C8C2311yescharacteristic
407Dic47⋊C8C2311yescharacteristic
408Dic47⋊C8C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093948C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432#13093944C2311yescharacteristic
433(C2×D47)⋊C8C2311yescharacteristic
434(C2×D47)⋊C8C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437#13093934C2311yescharacteristic
438C8×Dic47C2311yescharacteristic
439C8×Dic47C2311yescharacteristic
440C8×Dic47C2311yescharacteristic
441C2×#41×C47C2311yescharacteristic
442C22×Q8×C47C2311yescharacteristic
443C2×Q16×C47C2311yescharacteristic
444C2×Q16×C47C2311yescharacteristic
445C2×Q16×C47C2311yescharacteristic
446C2×SD16×C47C2311yescharacteristic
447C2×SD16×C47C2311yescharacteristic
448C2×SD16×C47C2311yescharacteristic
449C2×SD16×C47C2311yescharacteristic
450C2×D8×C47C2311yescharacteristic
451C4⋊Q8×C47C2311yescharacteristic
452C4⋊Q8×C47C2311yescharacteristic
453C4⋊Q8×C47C2311yescharacteristic
454#126×C47—21no—
455#124×C47—21no—
456#124×C47C2311yescharacteristic
457#124×C47C2311yescharacteristic
458#124×C47C2311yescharacteristic
459#123×C47—21no—
460#123×C47—21no—
461#123×C47—21no—
462C22⋊Q8×C47—21no—
463C22⋊Q8×C47—21no—
464C22⋊Q8×C47—21no—
465C22⋊Q8×C47C2311yescharacteristic
466#121×C47C2311yescharacteristic
467C4×Q8×C47C2311yescharacteristic
468C4×D4×C47C2311yescharacteristic
469#117×C47C2311yescharacteristic
470C4⋊C8×C47C2311yescharacteristic
471C4⋊C8×C47C2311yescharacteristic
472#103×C47C2311yescharacteristic
473#103×C47C2311yescharacteristic
474#103×C47C2311yescharacteristic
475#103×C47C2311yescharacteristic
476#103×C47C2311yescharacteristic
477#103×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480C22⋊C8×C47C2311yescharacteristic
481C22⋊C8×C47C2311yescharacteristic
482#97×C47C2311yescharacteristic
483C4×C8×C47C2311yescharacteristic
484C23×D47—21no—
485C23×D47—21no—
486C23×D47—21no—
487#41×C47—41no—
488#41×C47—41no—
489C2×Q8×C47—21no—
490C2×Q8×C47—21no—
491C2×Q8×C47—41no—
492C2×Q8×C47—41no—
493C2×Q8×C47C2411yescharacteristic
494C2×Q8×C47C2411yescharacteristic
495C2×Q8×C47C2411yescharacteristic
496C2×Q8×C47C2411yescharacteristic
497C2×D4×C47—21no—
498C2×D4×C47—21no—
499C2×D4×C47C2411yescharacteristic
500C2×D4×C47C2411yescharacteristic
501C22×C4×C47—21no—
502C22×C4×C47—21no—
503C22×C4×C47—21no—
504C22×C4×C47C2411yescharacteristic
505C2×C22⋊D47—21no—
506C2×C22⋊D47—21no—
507C2×C22⋊D47—21no—
508C2×C22⋊D47—21no—
509C2×C22⋊D47—21no—
510C2×C22⋊D47—21no—
511C2×C22⋊D47—21no—
512C2×C22⋊D47—21no—
513C2×C22⋊D47—21no—
514C2×C22⋊D47—21no—
515C2×C22⋊D47C2×D411yescharacteristic
516C2×C22⋊D47C2×D411yescharacteristic
517C22×Dic47—21no—
518C22×Dic47—21no—
519#10625354—22no—
520#10625354—41no—
521#10625354—41no—
522#10625354—41no—
523#10625354—41no—
524#10625354—41no—
525#10625354—41no—
526#10625354—41no—
527#10625354—82no—
528D4×D47—22no—
529D4×D47—41no—
530D4×D47—41no—
531D4×D47—41no—
532D4×D47—82no—
533C2×D188—22no—
534C2×D188—21no—
535C2×D188—21no—
536C2×D188—21no—
537C2×D188—21no—
538C2×D188—21no—
539C2×D188—21no—
540C2×D188—21no—
541C2×D188—21no—
542C2×D188—21no—
543C2×D188—41no—
544C2×D188C2×D411yescharacteristic
545C2×D188C2411yescharacteristic
546C2×D188C2411yescharacteristic
547C2×D188C2411yescharacteristic
548C2×D188C2411yescharacteristic
549C2×C4×D47—21no—
550C2×C4×D47—21no—
551C2×C4×D47—21no—
552C2×C4×D47—21no—
553C2×C4×D47—21no—
554C2×C4×D47—21no—
555C2×C4×D47—21no—
556C2×C4×D47—21no—
557C2×C4×D47—21no—
558C2×C4×D47—21no—
559C2×C4×D47—21no—
560C2×C4×D47—21no—
561C2×C4×D47—21no—
562C2×C4×D47—21no—
563C2×C4×D47—82no—
564C2×C4×D47C2×D411yescharacteristic
565C2×C4×D47C2×D411yescharacteristic
566C2×C4×D47C2411yescharacteristic
567C2×C4×D47C2411yescharacteristic
568C2×Dic94C2×D411yescharacteristic
569Q16×C47—41no—
570Q16×C47—41no—
571Q16×C47—41no—
572SD16×C47—41no—
573SD16×C47—41no—
574SD16×C47—41no—
575SD16×C47—41no—
576D8×C47—41no—
577C2×C8×C47C2411yescharacteristic
578C2×C8×C47C2411yescharacteristic
579C2×C8×C47C2411yescharacteristic
580C2×C8×C47C2411yescharacteristic
581C4⋊C4×C47—21no—
582C4⋊C4×C47—21no—
583C4⋊C4×C47—21no—
584C4⋊C4×C47—21no—
585C4⋊C4×C47—21no—
586C4⋊C4×C47—21no—
587C4⋊C4×C47—21no—
588C4⋊C4×C47C2×D411yescharacteristic
589C4⋊C4×C47C2×D411yescharacteristic
590C4⋊C4×C47C2411yescharacteristic
591C4⋊C4×C47C2411yescharacteristic
592C22⋊C4×C47—21no—
593C22⋊C4×C47—21no—
594C22⋊C4×C47—21no—
595C22⋊C4×C47—21no—
596C22⋊C4×C47—21no—
597C22⋊C4×C47—21no—
598C22⋊C4×C47—21no—
599C22⋊C4×C47—21no—
600C22⋊C4×C47—21no—
601C22⋊C4×C47C2×D411yescharacteristic
602C22⋊C4×C47C2×D411yescharacteristic
603C42×C47—21no—
604C42×C47C2411yescharacteristic
605C42×C47C2411yescharacteristic
606C22⋊Dic47—21no—
607C22⋊Dic47—21no—
608C22⋊Dic47—21no—
609C22⋊Dic47—21no—
610C22⋊Dic47—21no—
611C22⋊Dic47C2×D411yescharacteristic
612C22⋊Dic47C2×D411yescharacteristic
613#10625336—22no—
614#10625336—22no—
615#10625336—22no—
616#10625336—41no—
617#10625336—41no—
618#10625336—41no—
619#10625336—41no—
620#10625336—41no—
621#10625334—22no—
622#10625334—41no—
623#10625334—41no—
624#10625334—41no—
625(C2×D47)⋊C4—21no—
626(C2×D47)⋊C4—21no—
627(C2×D47)⋊C4—21no—
628(C2×D47)⋊C4—21no—
629(C2×D47)⋊C4—21no—
630(C2×D47)⋊C4—21no—
631(C2×D47)⋊C4—21no—
632(C2×D47)⋊C4—21no—
633(C2×D47)⋊C4—21no—
634(C2×D47)⋊C4—21no—
635(C2×D47)⋊C4—21no—
636(C2×D47)⋊C4—21no—
637(C2×D47)⋊C4—21no—
638(C2×D47)⋊C4—21no—
639(C2×D47)⋊C4—21no—
640(C2×D47)⋊C4—21no—
641(C2×D47)⋊C4—21no—
642(C2×D47)⋊C4—21no—
643(C2×D47)⋊C4—21no—
644(C2×D47)⋊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)⋊C4C2×D411yescharacteristic
650(C2×D47)⋊C4C2×D411yescharacteristic
651(C2×D47)⋊C4C2×D411yescharacteristic
652(C2×D47)⋊C4C2×D411yescharacteristic
653(C2×D47)⋊C4C2×D411yescharacteristic
654(C2×D47)⋊C4C2×D411yescharacteristic
655C4⋊Dic47—21no—
656C4⋊Dic47—21no—
657C4⋊Dic47—21no—
658C4⋊Dic47—21no—
659C4⋊Dic47—21no—
660C4⋊Dic47—21no—
661C4⋊Dic47C2×D411yescharacteristic
662C4⋊Dic47C2×D411yescharacteristic
663C4⋊Dic47C2411yescharacteristic
664C4⋊Dic47C2411yescharacteristic
665C4⋊Dic47C2411yescharacteristic
666C4⋊Dic47C2411yescharacteristic
667Dic47⋊C4—21no—
668Dic47⋊C4—21no—
669Dic47⋊C4—21no—
670Dic47⋊C4—21no—
671Dic47⋊C4—21no—
672Dic47⋊C4—21no—
673Dic47⋊C4—21no—
674Dic47⋊C4—21no—
675Dic47⋊C4—21no—
676Dic47⋊C4—21no—
677Dic47⋊C4C2×D411yescharacteristic
678Dic47⋊C4C2×D411yescharacteristic
679Dic47⋊C4C2×D411yescharacteristic
680Dic47⋊C4C2×D411yescharacteristic
681Dic47⋊C4C2×D411yescharacteristic
682Dic47⋊C4C2×D411yescharacteristic
683C4×Dic47—21no—
684C4×Dic47—21no—
685C4×Dic47—21no—
686C4×Dic47—21no—
687C4×Dic47—21no—
688C4×Dic47C2×D411yescharacteristic
689C4×Dic47C2×D411yescharacteristic
690C4×Dic47C2411yescharacteristic
691C4×Dic47C2411yescharacteristic
692#10625329—41no—
693C2×C47⋊C8—41no—
694C2×C47⋊C8C2411yescharacteristic
695C2×C47⋊C8C2411yescharacteristic
696C2×C47⋊C8C2411yescharacteristic
697C2×C47⋊C8C2411yescharacteristic
698D376—22no—
699D376—22no—
700D376—41no—
701D376—41no—
702#10625324—41no—
703#10625324—41no—
704#10625324—41no—
705C8×D47—41no—
706C23×C47—21no—
707C23×C47—21no—
708C23×C47C22×D411yescharacteristic
709C22×D47—21no—
710C22×D47—21no—
711C22×D47—21no—
712C22×D47—21no—
713C22×D47—42no—
714C22×D47—42no—
715C22×D47—42no—
716C22×D47—81no—
717C22×D47—81no—
718C22×D47—81no—
719C22×D47—81no—
720C22×D47—81no—
721C22×D47—81no—
722C22×D47C22×D411yescharacteristic
723C22×D47C22×D411yescharacteristic
724Q8×C47—21no—
725Q8×C47—21no—
726Q8×C47—21no—
727Q8×C47—21no—
728Q8×C47—21no—
729Q8×C47—21no—
730Q8×C47—21no—
731Q8×C47—21no—
732Q8×C47—81no—
733Q8×C47—81no—
734D4×C47—21no—
735D4×C47—21no—
736D4×C47—21no—
737D4×C47—21no—
738D4×C47—81no—
739D4×C47—81no—
740C2×C4×C47—21no—
741C2×C4×C47—21no—
742C2×C4×C47—21no—
743C2×C4×C47—21no—
744C2×C4×C47—21no—
745C2×C4×C47—21no—
746C2×C4×C47—21no—
747C2×C4×C47—21no—
748C2×C4×C47—81no—
749C2×C4×C47—81no—
750C2×C4×C47—81no—
751C2×C4×C47C22×D411yescharacteristic
752C2×C4×C47C22×D411yescharacteristic
753C2×C4×C47C22×D411yescharacteristic
754C2×C4×C47C22×D411yescharacteristic
755C2×C4×C47C22×D411yescharacteristic
756C2×C4×C47C2511yescharacteristic
757C22⋊D47—41no—
758C22⋊D47—41no—
759C22⋊D47—42no—
760C22⋊D47—81no—
761C22⋊D47—81no—
762C22⋊D47—81no—
763C22⋊D47—81no—
764C22⋊D47—81no—
765C22⋊D47—81no—
766C22⋊D47—81no—
767C22⋊D47—81no—
768C22⋊D47—81no—
769C2×Dic47—21no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—81no—
774C2×Dic47—81no—
775C2×Dic47C22×D411yescharacteristic
776C2×Dic47C22×D411yescharacteristic
777C2×Dic47C22×D411yescharacteristic
778C2×Dic47C22×D411yescharacteristic
779C2×Dic47C22×D411yescharacteristic
780C2×Dic47C22×D411yescharacteristic
781D188—21no—
782D188—21no—
783D188—21no—
784D188—21no—
785D188—21no—
786D188—21no—
787D188—21no—
788D188—41no—
789D188—42no—
790D188—42no—
791D188—42no—
792D188—81no—
793D188—81no—
794D188—81no—
795D188—81no—
796D188—81no—
797D188—81no—
798D188H(5,𝔽2)12yes—
799C4×D47—21no—
800C4×D47—21no—
801C4×D47—21no—
802C4×D47—21no—
803C4×D47—41no—
804C4×D47—41no—
805C4×D47—42no—
806C4×D47—42no—
807C4×D47—81no—
808C4×D47—81no—
809C4×D47—81no—
810C4×D47—81no—
811C4×D47—81no—
812C4×D47—81no—
813C4×D47—81no—
814C4×D47—81no—
815C4×D47—81no—
816C4×D47—81no—
817C4×D47—81no—
818C4×D47—81no—
819Dic94—41no—
820C8×C47—21no—
821C8×C47—21no—
822C8×C47—21no—
823C8×C47—21no—
824C47⋊C8—21no—
825C47⋊C8—21no—
826C47⋊C8—21no—
827C47⋊C8—21no—
828#62027—471nomaximal, Sylow
829C22×C47—21no—
830C22×C47—21no—
831C22×C47—21no—
832C22×C47—41no—
833C22×C47—41no—
834C22×C47—41no—
835C22×C47—41no—
836C22×C47—41no—
837C22×C47—41no—
838C22×C47C23×D411yescharacteristic
839C2×D47—21no—
840C2×D47—21no—
841C2×D47—21no—
842C2×D47—21no—
843C2×D47—21no—
844C2×D47—21no—
845C2×D47—22no—
846C2×D47—41no—
847C2×D47—41no—
848C2×D47—41no—
849C2×D47—41no—
850C2×D47—41no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—84no—
858C2×D47—162no—
859C2×D47—162no—
860C4×C47—21no—
861C4×C47—21no—
862C4×C47—21no—
863C4×C47—21no—
864C4×C47—21no—
865C4×C47—41no—
866C4×C47—41no—
867C4×C47—41no—
868C4×C47—41no—
869C4×C47—41no—
870C4×C47—41no—
871C4×C47C2×H(5,𝔽2)11yescharacteristic
872C4×C47#58511yescharacteristic
873Dic47—21no—
874Dic47—21no—
875Dic47—21no—
876Dic47—21no—
877Dic47—21no—
878Dic47—21no—
879Dic47—41no—
880Dic47—41no—
881Dic47—41no—
882Dic47—41no—
883#3562—471no—
884#3513—471no—
885#3401—471no—
886#3396—471no—
887#3370—471no—
888#3360—471no—
889#3330—471no—
890#3327—471no—
891#3326—471no—
892#3317—471no—
893#3306—471no—
894#3297—471no—
895#3282—471no—
896#3274—471no—
897#3273—471no—
898#3273—471no—
899#3267—471no—
900#3265—471no—
901#3260—471no—
902#3257—471no—
903#3256—471no—
904#3225D4711yescharacteristic, complemented
905#3220—471no—
906#3212—471no—
907#3122—471no—
908#3120—471no—
909#3105—471no—
910#3045—471no—
911#3042—471no—
912#3036—471no—
913#2993—471no—
914C2×C47—41no—
915C2×C47—81no—
916C2×C47—81no—
917C2×C47#348811yescharacteristic
918C2×C47#358411yescharacteristic
919C2×C47#358511yescharacteristic
920D47—41no—
921D47—41no—
922D47—42no—
923D47—81no—
924D47—81no—
925D47—81no—
926C2×AGL(1,ℤ/8)—471no—
927C2×AGL(1,ℤ/8)—471no—
928C2×AGL(1,ℤ/8)—471no—
929C2×AGL(1,ℤ/8)—471no—
930C2×#135—471no—
931C22×SD16—471no—
932#562—941no—
933#560—941no—
934#559—471no—
935#559—471no—
936#556—471no—
937#554—471no—
938#553—471no—
939#553—941no—
940#553—941no—
941#552—471no—
942#551—941no—
943#551—941no—
944#551—941no—
945#550—471no—
946#548—471no—
947#548—471no—
948#547—471no—
949#547—471no—
950#546—471no—
951#546—471no—
952#546—471no—
953#546—471no—
954#546—941no—
955D42—471no—
956#542C2×D4711yescharacteristic, complemented
957#541—471no—
958#540—471no—
959#540—471no—
960#540—941no—
961#539—941no—
962#539—941no—
963#538—941no—
964#538—941no—
965#538—941no—
966#536C2×D4711yescharacteristic, complemented
967#535—471no—
968#532—471no—
969#529—471no—
970#529—471no—
971#529—471no—
972#525—941no—
973C2×#123—941no—
974#520—471no—
975#518—471no—
976C2×C4×D4—471no—
977#497C2×D4711yescharacteristic, complemented
978#496—471no—
979#495—471no—
980#495—471no—
981#495C2×D4711yescharacteristic, complemented
982#493—471no—
983#490—471no—
984#489C2×D4711yescharacteristic, complemented
985#488—471no—
986#488—471no—
987#488—471no—
988#487C2×D4711yescharacteristic, complemented
989#484—471no—
990#484—471no—
991#483—471no—
992#482—471no—
993#482—471no—
994#481—471no—
995#479—471no—
996#479—471no—
997#479—471no—
998#479—471no—
999#478—471no—
1000#478—471no—
1001#478—471no—
1002#478—471no—
1003#476—471no—
1004#474—471no—
1005#470—471no—
1006#469—471no—
1007#469—471no—
1008#468—471no—
1009#468—471no—
1010#468—471no—
1011#468—471no—
1012#468—471no—
1013#466—471no—
1014#465—471no—
1015#465—471no—
1016#465—471no—
1017#464—471no—
1018#464—471no—
1019#464C2×D4711yescharacteristic, complemented
1020#463—471no—
1021#463—471no—
1022#463—471no—
1023#463—471no—
1024#463—471no—
1025#463—471no—
1026#463—471no—
1027#463—471no—
1028#463—471no—
1029#463—471no—
1030#463—471no—
1031#463—471no—
1032#463C2×D4711yescharacteristic, complemented
1033#462C2×D4711yescharacteristic, complemented
1034#461—471no—
1035#461—471no—
1036#461—471no—
1037#461—471no—
1038#461C2×D4711yescharacteristic, complemented
1039#460—471no—
1040#460—471no—
1041#460—471no—
1042#460—471no—
1043#459—471no—
1044#459—471no—
1045#459—471no—
1046#459—471no—
1047#452—471no—
1048#452—471no—
1049#452—471no—
1050#452—471no—
1051#452C2×D4711yescharacteristic, complemented
1052#451C2×D4711yescharacteristic, complemented
1053#450—471no—
1054#449—471no—
1055#449—471no—
1056#449—471no—
1057#449—471no—
1058#449C2×D4711yescharacteristic
1059#448C2×D4711yescharacteristic, complemented
1060#447—471no—
1061#447—471no—
1062#447—471no—
1063#447—471no—
1064#447—471no—
1065#446—471no—
1066C8×Q8—471no—
1067#442—471no—
1068#442—471no—
1069#441—471no—
1070#440—471no—
1071C4×Q16—471no—
1072C4×SD16—471no—
1073C4×SD16—471no—
1074C4×SD16—471no—
1075C4×D8—471no—
1076C4×D8—471no—
1077C4×D8—471no—
1078C4×D8—471no—
1079#436—471no—
1080#436—471no—
1081#436—471no—
1082#435—471no—
1083#435—471no—
1084C8×D4—471no—
1085#433—471no—
1086#433C2×D4711yescharacteristic, complemented
1087#431—471no—
1088#424—471no—
1089#424—471no—
1090#423—471no—
1091#419—471no—
1092#417—471no—
1093#417—471no—
1094#417—471no—
1095#416—471no—
1096C2×#102—471no—
1097C47#6202711yescharacteristic, complemented, Sylow
1098C2×#41—471no—
1099C2×#41—471no—
1100C2×#41—471no—
1101C2×#41—471no—
1102C2×#41—941no—
1103C2×#41C22×D4711yescharacteristic
1104C22×Q8C22×D4711yescharacteristic
1105C22×D4—471no—
1106C22×D4—471no—
1107C22×D4—471no—
1108C22×D4—941no—
1109C23×C4—941no—
1110AGL(1,ℤ/8)—1882no—
1111AGL(1,ℤ/8)—1882no—
1112AGL(1,ℤ/8)—1882no—
1113AGL(1,ℤ/8)—1882no—
1114#135—1882no—
1115C2×Q16C22×D4711yescharacteristic
1116C2×Q16C22×D4711yescharacteristic
1117C2×Q16C22×D4711yescharacteristic
1118C2×SD16—471no—
1119C2×SD16—471no—
1120C2×SD16—471no—
1121C2×SD16—471no—
1122C2×SD16—471no—
1123C2×SD16—471no—
1124C2×SD16—471no—
1125C2×SD16—471no—
1126C2×SD16—1882no—
1127C2×SD16C22×D4711yescharacteristic
1128C2×SD16C22×D4711yescharacteristic
1129C2×SD16C22×D4711yescharacteristic
1130C2×SD16C22×D4711yescharacteristic
1131C2×D8—471no—
1132C2×D8—471no—
1133C2×D8—471no—
1134C2×D8—471no—
1135C2×D8—471no—
1136C2×D8—471no—
1137C2×D8—471no—
1138C2×D8—471no—
1139C2×D8C22×D4711yescharacteristic
1140C2×M16—471no—
1141C2×M16—471no—
1142C2×M16—471no—
1143C2×M16—471no—
1144C22×C8—471no—
1145C22×C8—471no—
1146C4⋊Q8C22×D4711yescharacteristic
1147C4⋊Q8C22×D4711yescharacteristic
1148C4⋊Q8C22×D4711yescharacteristic
1149#127—471no—
1150#127—471no—
1151#127—471no—
1152#127—941no—
1153#126—21no—
1154#126—471no—
1155#126—471no—
1156#126—941no—
1157#126—941no—
1158#126—941no—
1159#126—941no—
1160#126—941no—
1161#126—941no—
1162#126—941no—
1163#126—941no—
1164#125—471no—
1165#125—471no—
1166#125—471no—
1167#125—471no—
1168#125—941no—
1169#125—941no—
1170#125—941no—
1171#124—21no—
1172#124—471no—
1173#124—471no—
1174#124—471no—
1175#124—471no—
1176#124—471no—
1177#124—941no—
1178#124—941no—
1179#124—941no—
1180#124—941no—
1181#124C22×D4711yescharacteristic
1182#124C22×D4711yescharacteristic
1183#124C22×D4711yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—471no—
1188#123—471no—
1189#123—941no—
1190#123—941no—
1191#123—941no—
1192#123—941no—
1193#123—941no—
1194#123—941no—
1195#123—941no—
1196#123—941no—
1197#123—941no—
1198#123—941no—
1199#123—941no—
1200#123—941no—
1201#123—941no—
1202#123—941no—
1203#123—941no—
1204#123—941no—
1205#123—941no—
1206#123—941no—
1207#123—941no—
1208#123—941no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—471no—
1213C22⋊Q8—471no—
1214C22⋊Q8—471no—
1215C22⋊Q8—471no—
1216C22⋊Q8—471no—
1217C22⋊Q8—941no—
1218C22⋊Q8—941no—
1219C22⋊Q8—941no—
1220C22⋊Q8—941no—
1221C22⋊Q8—941no—
1222C22⋊Q8—941no—
1223C22⋊Q8—941no—
1224C22⋊Q8C22×D4711yescharacteristic
1225#121—471no—
1226#121—471no—
1227#121—471no—
1228#121—471no—
1229#121—471no—
1230#121—471no—
1231#121—471no—
1232#121—941no—
1233#121—941no—
1234#121—941no—
1235#121—941no—
1236#121—941no—
1237#121—941no—
1238#121—941no—
1239#121—941no—
1240#121—941no—
1241#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#121C22×D4711yescharacteristic
1252#120—941no—
1253#120—941no—
1254#120—941no—
1255#120—941no—
1256#120—941no—
1257#120—941no—
1258#120—941no—
1259#120—941no—
1260C4×Q8—471no—
1261C4×Q8—471no—
1262C4×Q8—471no—
1263C4×Q8—471no—
1264C4×Q8—471no—
1265C4×Q8C22×D4711yescharacteristic
1266C4×D4—471no—
1267C4×D4—471no—
1268C4×D4—471no—
1269C4×D4—471no—
1270C4×D4—471no—
1271C4×D4—471no—
1272C4×D4—471no—
1273C4×D4—471no—
1274C4×D4—471no—
1275C4×D4—471no—
1276C4×D4—471no—
1277C4×D4—471no—
1278C4×D4—471no—
1279C4×D4—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×D4—941no—
1289C4×D4—941no—
1290C4×D4—941no—
1291C4×D4—941no—
1292C4×D4—941no—
1293C4×D4—941no—
1294C4×D4—941no—
1295C4×D4C22×D4711yescharacteristic
1296#117—471no—
1297#117—471no—
1298#117—941no—
1299#117—941no—
1300#117—941no—
1301#117—941no—
1302#117—941no—
1303#117C22×D4711yescharacteristic
1304C2×C4⋊C4—471no—
1305C2×C4⋊C4—471no—
1306C2×C4⋊C4—941no—
1307C2×C4⋊C4—941no—
1308C2×C4⋊C4—941no—
1309C2×C22⋊C4—941no—
1310C2×C22⋊C4—941no—
1311C2×C22⋊C4—941no—
1312C2×C22⋊C4—941no—
1313C2×C22⋊C4—941no—
1314C2×C22⋊C4—941no—
1315C2×C22⋊C4—941no—
1316C2×C42—471no—
1317#107—471no—
1318#107—471no—
1319#107—471no—
1320#107—471no—
1321#106—471no—
1322#106—471no—
1323#106—471no—
1324#106—471no—
1325C4⋊C8—471no—
1326C4⋊C8—471no—
1327C4⋊C8—471no—
1328C4⋊C8—471no—
1329C4⋊C8—471no—
1330C4⋊C8—471no—
1331C4⋊C8—471no—
1332C4⋊C8—471no—
1333C4⋊C8C22×D4711yescharacteristic
1334C4⋊C8C22×D4711yescharacteristic
1335#103—471no—
1336#103—471no—
1337#103—471no—
1338#103—471no—
1339#103—471no—
1340#103—471no—
1341#103—471no—
1342#103—471no—
1343#103C22×D4711yescharacteristic
1344#103C22×D4711yescharacteristic
1345#103C22×D4711yescharacteristic
1346#103C22×D4711yescharacteristic
1347#103C22×D4711yescharacteristic
1348#103C22×D4711yescharacteristic
1349#102—471no—
1350#102—471no—
1351#102—471no—
1352#102—471no—
1353#102—471no—
1354#102—471no—
1355#102—471no—
1356#102—471no—
1357#102—471no—
1358#102—471no—
1359#102—471no—
1360#102—471no—
1361#102—471no—
1362#102—471no—
1363#102—471no—
1364#102—471no—
1365#102C22×D4711yescharacteristic
1366#102C22×D4711yescharacteristic
1367C22⋊C8—471no—
1368C22⋊C8—471no—
1369C22⋊C8—471no—
1370C22⋊C8—471no—
1371C22⋊C8C22×D4711yescharacteristic
1372C22⋊C8C22×D4711yescharacteristic
1373#97—471no—
1374#97C22×D4711yescharacteristic
1375C4×C8—471no—
1376C4×C8—471no—
1377C4×C8—471no—
1378C4×C8C22×D4711yescharacteristic
1379C24—941no—
1380C24—941no—
1381C24—941no—
1382#41—41no—
1383#41—41no—
1384#41—942no—
1385#41—3762no—
1386#41—1881no—
1387#41—1881no—
1388#41—1881no—
1389#41—1881no—
1390#41—1881no—
1391#41—1881no—
1392#41—1881no—
1393C2×Q8—21no—
1394C2×Q8—21no—
1395C2×Q8—41no—
1396C2×Q8—41no—
1397C2×Q8—471no—
1398C2×Q8C23×D4711yescharacteristic
1399C2×Q8C23×D4711yescharacteristic
1400C2×Q8C23×D4711yescharacteristic
1401C2×Q8C23×D4711yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—471no—
1405C2×D4—471no—
1406C2×D4—471no—
1407C2×D4—471no—
1408C2×D4—471no—
1409C2×D4—471no—
1410C2×D4—471no—
1411C2×D4—942no—
1412C2×D4—941no—
1413C2×D4—941no—
1414C2×D4—941no—
1415C2×D4—941no—
1416C2×D4—941no—
1417C2×D4—941no—
1418C2×D4—941no—
1419C2×D4—941no—
1420C2×D4—941no—
1421C2×D4—941no—
1422C2×D4—941no—
1423C2×D4—941no—
1424C2×D4—942no—
1425C2×D4—941no—
1426C2×D4—941no—
1427C2×D4—941no—
1428C2×D4—941no—
1429C2×D4—941no—
1430C2×D4—941no—
1431C2×D4—941no—
1432C2×D4—3762no—
1433C2×D4—1881no—
1434C2×D4—1881no—
1435C2×D4—1881no—
1436C2×D4—1881no—
1437C2×D4C23×D4711yescharacteristic
1438C2×D4C23×D4711yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—471no—
1443C22×C4—471no—
1444C22×C4—471no—
1445C22×C4—471no—
1446C22×C4—941no—
1447C22×C4—941no—
1448C22×C4—941no—
1449C22×C4—941no—
1450C22×C4—941no—
1451C22×C4—941no—
1452C22×C4—941no—
1453C22×C4—941no—
1454C22×C4—941no—
1455C22×C4—941no—
1456C22×C4—941no—
1457C22×C4—941no—
1458C22×C4—941no—
1459C22×C4—941no—
1460C22×C4—941no—
1461C22×C4—941no—
1462C22×C4—3762no—
1463C22×C4C23×D4711yescharacteristic
1464Q16—41no—
1465Q16—41no—
1466Q16—41no—
1467SD16—41no—
1468SD16—41no—
1469SD16—41no—
1470SD16—41no—
1471SD16—942no—
1472SD16—942no—
1473SD16—942no—
1474SD16—1881no—
1475SD16—1881no—
1476SD16—1881no—
1477SD16—1881no—
1478SD16—1881no—
1479D8—41no—
1480D8—942no—
1481D8—942no—
1482D8—942no—
1483D8—1881no—
1484D8—1881no—
1485D8—1881no—
1486D8—1881no—
1487D8—1881no—
1488M16—1881no—
1489M16—1881no—
1490M16—1881no—
1491M16—1881no—
1492C2×C8—471no—
1493C2×C8—471no—
1494C2×C8—471no—
1495C2×C8—471no—
1496C2×C8—1881no—
1497C2×C8—1881no—
1498C2×C8C23×D4711yescharacteristic
1499C2×C8C23×D4711yescharacteristic
1500C2×C8C23×D4711yescharacteristic
1501C2×C8C23×D4711yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—471no—
1510C4⋊C4—471no—
1511C4⋊C4—471no—
1512C4⋊C4—471no—
1513C4⋊C4—471no—
1514C4⋊C4—471no—
1515C4⋊C4—471no—
1516C4⋊C4—471no—
1517C4⋊C4—471no—
1518C4⋊C4—471no—
1519C4⋊C4—471no—
1520C4⋊C4—471no—
1521C4⋊C4—941no—
1522C4⋊C4—941no—
1523C4⋊C4—941no—
1524C4⋊C4—941no—
1525C4⋊C4—941no—
1526C4⋊C4—941no—
1527C4⋊C4—941no—
1528C4⋊C4—941no—
1529C4⋊C4—941no—
1530C4⋊C4—941no—
1531C4⋊C4—941no—
1532C4⋊C4—941no—
1533C4⋊C4—941no—
1534C4⋊C4—941no—
1535C4⋊C4—941no—
1536C4⋊C4—941no—
1537C4⋊C4D4×D4711yescharacteristic
1538C4⋊C4D4×D4711yescharacteristic
1539C4⋊C4C23×D4711yescharacteristic
1540C4⋊C4C23×D4711yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—471no—
1551C22⋊C4—471no—
1552C22⋊C4—471no—
1553C22⋊C4—471no—
1554C22⋊C4—471no—
1555C22⋊C4—471no—
1556C22⋊C4—471no—
1557C22⋊C4—471no—
1558C22⋊C4—941no—
1559C22⋊C4—941no—
1560C22⋊C4—941no—
1561C22⋊C4—941no—
1562C22⋊C4—941no—
1563C22⋊C4—941no—
1564C22⋊C4—941no—
1565C22⋊C4—941no—
1566C22⋊C4—941no—
1567C22⋊C4—941no—
1568C22⋊C4—941no—
1569C22⋊C4—941no—
1570C22⋊C4—941no—
1571C22⋊C4—941no—
1572C22⋊C4—941no—
1573C22⋊C4—941no—
1574C22⋊C4—941no—
1575C22⋊C4—941no—
1576C22⋊C4—941no—
1577C22⋊C4—941no—
1578C22⋊C4—941no—
1579C22⋊C4—941no—
1580C22⋊C4—941no—
1581C22⋊C4—941no—
1582C22⋊C4—941no—
1583C22⋊C4—941no—
1584C22⋊C4—941no—
1585C22⋊C4—941no—
1586C22⋊C4—941no—
1587C22⋊C4D4×D4711yescharacteristic
1588C22⋊C4D4×D4711yescharacteristic
1589C42—21no—
1590C42—471no—
1591C42—471no—
1592C42—471no—
1593C42—471no—
1594C42—941no—
1595C42—941no—
1596C42—941no—
1597C42—941no—
1598C42—941no—
1599C42C23×D4711yescharacteristic
1600C42C23×D4711yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—471no—
1604C23—471no—
1605C23—941no—
1606C23—941no—
1607C23—941no—
1608C23—941no—
1609C23—3761no—
1610C23—3761no—
1611C23—3761no—
1612C23—3761no—
1613C23—3761no—
1614C23—3761no—
1615C23—1882no—
1616C23—1882no—
1617C23—1882no—
1618C23C2×D4×D4711yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—21no—
1626Q8—21no—
1627Q8—81no—
1628Q8—81no—
1629Q8—1881no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—81no—
1635D4—81no—
1636D4—472no—
1637D4—941no—
1638D4—941no—
1639D4—941no—
1640D4—941no—
1641D4—941no—
1642D4—941no—
1643D4—941no—
1644D4—3761no—
1645D4—3761no—
1646D4—3761no—
1647D4—3761no—
1648D4—3761no—
1649D4—3761no—
1650D4—3761no—
1651D4—3761no—
1652D4—3761no—
1653D4—3761no—
1654D4—3761no—
1655D4—3761no—
1656D4—3761no—
1657D4—3761no—
1658D4—3761no—
1659D4—1881no—
1660D4—1882no—
1661D4—1882no—
1662D4—1882no—
1663D4—1881no—
1664D4—1881no—
1665D4—1882no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—471no—
1678C2×C4—471no—
1679C2×C4—471no—
1680C2×C4—471no—
1681C2×C4—471no—
1682C2×C4—471no—
1683C2×C4—941no—
1684C2×C4—941no—
1685C2×C4—941no—
1686C2×C4—941no—
1687C2×C4—941no—
1688C2×C4—941no—
1689C2×C4—941no—
1690C2×C4—941no—
1691C2×C4—3761no—
1692C2×C4—3761no—
1693C2×C4—3761no—
1694C2×C4—3761no—
1695C2×C4—3761no—
1696C2×C4—3761no—
1697C2×C4—3761no—
1698C2×C4—3761no—
1699C2×C4—3761no—
1700C2×C4—3761no—
1701C2×C4—3761no—
1702C2×C4—3761no—
1703C2×C4—3761no—
1704C2×C4—3761no—
1705C2×C4—1881no—
1706C2×C4—1881no—
1707C2×C4—1882no—
1708C2×C4—1882no—
1709C2×C4C2×D4×D4711yescharacteristic
1710C2×C4C2×D4×D4711yescharacteristic
1711C2×C4C2×D4×D4711yescharacteristic
1712C2×C4C2×D4×D4711yescharacteristic
1713C2×C4C2×D4×D4711yescharacteristic
1714C2×C4C24×D4711yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—941no—
1720C8—941no—
1721C8—941no—
1722C8—941no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—941no—
1733C22—941no—
1734C22—942no—
1735C22—941no—
1736C22—941no—
1737C22—941no—
1738C22—941no—
1739C22—3764no—
1740C22—1881no—
1741C22—1881no—
1742C22—1881no—
1743C22—1881no—
1744C22—1881no—
1745C22—1881no—
1746C22—1881no—
1747C22—1881no—
1748C22—1881no—
1749C22—1881no—
1750C22—1881no—
1751C22—7522no—
1752C22—7522no—
1753C22C22×D4×D4711yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—941no—
1766C4—941no—
1767C4—941no—
1768C4—941no—
1769C4—941no—
1770C4—941no—
1771C4—1881no—
1772C4—1881no—
1773C4—1881no—
1774C4—1881no—
1775C4H(5,𝔽2)×D4711yescharacteristic
1776C4#1568995811yescharacteristic
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—3761no—
1781C2—3761no—
1782C2—3761no—
1783C2—1881no—
1784C2—1881no—
1785C2—1882no—
1786C2#2025705511yescharacteristic
1787C2#2025815811yescharacteristic
1788C2#2025816611yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3225C2
socleC22×C47C23×D4
hypercenter#3225D47
hypocenterC47#62027
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #117 ◁ #3225

Complements

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

NH ≅ G/Ntype
1. #20257964C2semidirect
2. #20257334C2semidirect
3. #20256453C2semidirect
4. #20256397C2semidirect
5. #20256140C2semidirect
6. #20256042C2semidirect
7. #20255692C2semidirect
8. #20255660C2semidirect
9. #20255645C2semidirect
10. #20255518C2semidirect
11. #20255348C2semidirect
12. #20255231C2semidirect
13. #20255088C2semidirect
14. #20255001C2semidirect
15. #20254997C2semidirect
16. #20254992C2semidirect
17. #20254912C2semidirect
18. #20254876C2semidirect
19. #20254831C2semidirect
20. #20254799C2semidirect
21. #20254787C2semidirect
22. #20254435C2semidirect
23. #20254369C2semidirect
24. #20253632C2semidirect
25. #20253601C2semidirect
26. #20253434C2semidirect
27. #20252930C2semidirect
28. #20252896C2semidirect
29. #20252853C2semidirect
30. #20252531C2semidirect
31. C47×#3225C2semidirect
34. C2×#13094051C22semidirect
37. C22×#10625336C22semidirect
40. #15689855C22semidirect
41. #15689855C22semidirect
42. #15689847C22semidirect
43. #15689834C22semidirect
47. #15689807C22semidirect
53. #15689784C22semidirect
55. #15689776C22semidirect
58. #15689766C22semidirect
60. #15689761C22semidirect
61. #15689757C22semidirect
62. #15689734C22semidirect
63. #15689728C22semidirect
71. #15689691C22semidirect
72. #15689674C22semidirect
73. #15689660C22semidirect
74. #15689652C22semidirect
79. #15689597C22semidirect
80. C4×D4×D47C22semidirect
82. #15689508C22semidirect
83. #15689508C22semidirect
85. #15689486C22semidirect
86. #15689479C22semidirect
87. #15689479C22semidirect
88. #15689479C22semidirect
89. #15689457C22semidirect
90. #15689457C22semidirect
91. #15689452C22semidirect
92. #15689448C22semidirect
93. #15689448C22semidirect
94. #15689440C22semidirect
95. #15689432C22semidirect
96. #15689432C22semidirect
97. #15689430C22semidirect
98. #15689428C22semidirect
99. #15689425C22semidirect
100. #15689424C22semidirect
101. #15689424C22semidirect
102. #15689423C22semidirect
103. #15689410C22semidirect
104. #15689400C22semidirect
105. #15689378C22semidirect
107. #15689374C22semidirect
108. #15689372C22semidirect
109. #15689372C22semidirect
110. #15689371C22semidirect
111. #15689366C22semidirect
112. #15689366C22semidirect
114. #15689355C22semidirect
115. #15689354C22semidirect
116. #15689349C22semidirect
117. #15689347C22semidirect
118. #15689347C22semidirect
121. #15689341C22semidirect
122. #15689340C22semidirect
123. #15689340C22semidirect
124. #15689340C22semidirect
127. #15689335C22semidirect
128. #15689335C22semidirect
129. #15689335C22semidirect
130. #15689335C22semidirect
131. #15689325C22semidirect
132. #15689325C22semidirect
133. #15689325C22semidirect
134. #15689325C22semidirect
135. #15689323C22semidirect
136. #15689321C22semidirect
137. #15689321C22semidirect
138. #15689321C22semidirect
140. #15689319C22semidirect
141. #15689318C22semidirect
145. #15689284C22semidirect
146. #15689284C22semidirect
147. #15689272C22semidirect
149. #15689271C22semidirect
150. #15689271C22semidirect
151. #15689267C22semidirect
153. #15689259C22semidirect
154. #15689258C22semidirect
156. #15689255C22semidirect
157. #15689251C22semidirect
158. C8×Dic94C22semidirect
159. #15689236C22semidirect
160. #15689236C22semidirect
161. #15689230C22semidirect
162. #15689226C22semidirect
163. Q16×Dic47C22semidirect
164. SD16×Dic47C22semidirect
165. #15689208C22semidirect
166. #15689208C22semidirect
168. C4×D376C22semidirect
169. D8×Dic47C22semidirect
171. #15689202C22semidirect
172. #15689198C22semidirect
173. #15689198C22semidirect
174. #15689196C22semidirect
175. #15689191C22semidirect
176. (C22⋊D47)⋊C8C22semidirect
177. #15689183C22semidirect
178. #15689175C22semidirect
179. #15689150C22semidirect
180. #15689148C22semidirect
181. #15689145C22semidirect
182. #15689132C22semidirect
183. #15689123C22semidirect
184. #15689123C22semidirect
185. #15689123C22semidirect
186. #15689119C22semidirect
187. #102×D47C22semidirect
188. C47×#542C22semidirect
189. C47×#536C22semidirect
190. C47×#497C22semidirect
191. C47×#495C22semidirect
192. C47×#489C22semidirect
193. C47×#487C22semidirect
194. C47×#464C22semidirect
195. C47×#463C22semidirect
196. C47×#462C22semidirect
197. C47×#461C22semidirect
198. C47×#452C22semidirect
199. C47×#451C22semidirect
201. C47×#448C22semidirect
202. C47×#433C22semidirect
904. #3225D47semidirect
956. #542C2×D47semidirect
966. #536C2×D47semidirect
977. #497C2×D47semidirect
981. #495C2×D47semidirect
984. #489C2×D47semidirect
988. #487C2×D47semidirect
1019. #464C2×D47semidirect
1032. #463C2×D47semidirect
1033. #462C2×D47semidirect
1038. #461C2×D47semidirect
1051. #452C2×D47semidirect
1052. #451C2×D47semidirect
1059. #448C2×D47semidirect
1086. #433C2×D47semidirect
1097. C47#62027semidirect

Maximal subgroups

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

subgroupindex
#202579642
#202573342
#202564532
#202563972
#202561402
#202560422
#202556922
#202556602
#202556452
#202555182
#202553482
#202552312
#202550882
#202550012
#202549972
#202549922
#202549122
#202548762
#202548312
#202547992
#202547872
#202544352
#202543692
#202536322
#202536012
#202534342
#202529302
#202528962
#202528532
#202525312
C47×#32252
#6202747