Finite Group Databasebeta

← #27112040

Subgroups — #27112040

Order 12032.

1974 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257266C211yesmaximal, characteristic, complemented
2#20256875C211yesmaximal, characteristic
3#20256312C211yesmaximal, characteristic, complemented
4#20256306C211yesmaximal, characteristic, complemented
5#20256120C211yesmaximal, characteristic, complemented
6#20256118C211yesmaximal, characteristic, complemented
7#20255968C211yesmaximal, characteristic, complemented
8#20255965C211yesmaximal, characteristic, complemented
9#20255826C211yesmaximal, characteristic, complemented
10#20255824C211yesmaximal, characteristic, complemented
11#20255822C211yesmaximal, characteristic, complemented
12#20255617C211yesmaximal, characteristic, complemented
13#20255614C211yesmaximal, characteristic, complemented
14#20255415C211yesmaximal, characteristic, complemented
15#20255411C211yesmaximal, characteristic, complemented
16#20255407C211yesmaximal, characteristic, complemented
17#20255403C211yesmaximal, characteristic, complemented
18#20254774C211yesmaximal, characteristic, complemented
19#20254770C211yesmaximal, characteristic, complemented
20#20254699C211yesmaximal, characteristic, complemented
21#20254587C211yesmaximal, characteristic, complemented
22#20254583C211yesmaximal, characteristic, complemented
23#20254507C211yesmaximal, characteristic, complemented
24#20253485C211yesmaximal, characteristic, complemented
25#20253484C211yesmaximal, characteristic, complemented
26#20253393C211yesmaximal, characteristic, complemented
27#20253184C211yesmaximal, characteristic, complemented
28#20253183C211yesmaximal, characteristic, complemented
29C2×#15689402C211yesmaximal, characteristic, complemented
30#20252500C211yesmaximal, characteristic, complemented
31C47×#3343C211yesmaximal, characteristic, complemented
32C2×#41×D47—21no—
33#15689850—21no—
34#15689850C2211yescharacteristic, complemented
35#15689849C2211yescharacteristic, complemented
36#15689844C2211yescharacteristic, complemented
37#15689841C2211yescharacteristic, complemented
38#15689840—21no—
39#15689815C2211yescharacteristic, complemented
40#15689813C2211yescharacteristic, complemented
41#15689810—21no—
42#15689808C2211yescharacteristic, complemented
43#15689806—21no—
44#15689794C2211yescharacteristic
45#15689788C2211yescharacteristic
46#15689783—21no—
47#15689774C2211yescharacteristic
48#15689774C2211yescharacteristic
49#15689765—21no—
50#15689765—21no—
51#15689761—21no—
52D4×D188C2211yescharacteristic
53#15689757C2211yescharacteristic
54#15689757C2211yescharacteristic
55#15689732—21no—
56#15689730—21no—
57#15689695—21no—
58#15689679C2211yescharacteristic, complemented
59#15689677C2211yescharacteristic, complemented
60#15689676C2211yescharacteristic, complemented
61#15689675C2211yescharacteristic, complemented
62#15689675C2211yescharacteristic, complemented
63#15689674C2211yescharacteristic
64#15689668C2211yescharacteristic
65#15689668C2211yescharacteristic
66C2×#13094023C2211yescharacteristic, complemented
67#15689636—21no—
68#15689631—21no—
69#15689631—21no—
70#15689600—21no—
71C4×#10625352C2211yescharacteristic
72C2×#13093986C2211yescharacteristic
73C2×#13093986C2211yescharacteristic
74C4×D4×D47C2211yescharacteristic
75#15689531C2211yescharacteristic, complemented
76#15689530C2211yescharacteristic, complemented
77#15689529C2211yescharacteristic, complemented
78#15689527C2211yescharacteristic, complemented
79#15689527C2211yescharacteristic, complemented
80#15689489C2211yescharacteristic, complemented
81#15689488C2211yescharacteristic, complemented
82#15689486C2211yescharacteristic, complemented
83#15689486C2211yescharacteristic, complemented
84#15689468C2211yescharacteristic, complemented
85#15689468C2211yescharacteristic, complemented
86#15689460C2211yescharacteristic, complemented
87#15689458C2211yescharacteristic, complemented
88#15689457C2211yescharacteristic, complemented
89#15689453C2211yescharacteristic, complemented
90#15689450C2211yescharacteristic, complemented
91#15689450C2211yescharacteristic, complemented
92#15689449C2211yescharacteristic, complemented
93#15689449C2211yescharacteristic, complemented
94#15689448C2211yescharacteristic, complemented
95#15689447C2211yescharacteristic, complemented
96#15689444C2211yescharacteristic, complemented
97#15689437C2211yescharacteristic, complemented
98#15689436C2211yescharacteristic, complemented
99#15689434C2211yescharacteristic, complemented
100#15689426C2211yescharacteristic
101#15689426C2211yescharacteristic, complemented
102#15689424C2211yescharacteristic
103#15689423C2211yescharacteristic, complemented
104#15689422C2211yescharacteristic
105#15689422C2211yescharacteristic, complemented
106#15689420C2211yescharacteristic
107#15689417C2211yescharacteristic, complemented
108#15689416C2211yescharacteristic, complemented
109#15689415C2211yescharacteristic, complemented
110#15689412C2211yescharacteristic
111#15689412C2211yescharacteristic, complemented
112#15689412C2211yescharacteristic, complemented
113#15689411C2211yescharacteristic, complemented
114#15689407C2211yescharacteristic, complemented
115#15689406C2211yescharacteristic, complemented
116#15689402C2211yescharacteristic
117#15689402C2211yescharacteristic
118#15689402C2211yescharacteristic
119#15689402C2211yescharacteristic
120#15689402C2211yescharacteristic, complemented
121#15689402C2211yescharacteristic, complemented
122#15689402C2211yescharacteristic, complemented
123#15689402C2211yescharacteristic, complemented
124#15689402C2211yescharacteristic, complemented
125#15689402C2211yescharacteristic, complemented
126#15689401C2211yescharacteristic, complemented
127#15689401C2211yescharacteristic, complemented
128#15689372C2211yescharacteristic, complemented
129#15689372C2211yescharacteristic, complemented
130#15689371C2211yescharacteristic, complemented
131#15689370C2211yescharacteristic, complemented
132#15689370C2211yescharacteristic, complemented
133#15689369C2211yescharacteristic, complemented
134#15689367C2211yescharacteristic, complemented
135#15689354C2211yescharacteristic, complemented
136#15689352C2211yescharacteristic, complemented
137#15689350C2211yescharacteristic, complemented
138#15689327C2211yescharacteristic
139#15689327C2211yescharacteristic, complemented
140#15689327C2211yescharacteristic, complemented
141#15689326C2211yescharacteristic, complemented
142#15689324C2211yescharacteristic, complemented
143#15689323C2211yescharacteristic, complemented
144#15689322C2211yescharacteristic, complemented
145#15689322C2211yescharacteristic, complemented
146#15689321C2211yescharacteristic, complemented
147#15689321C2211yescharacteristic, complemented
148#15689276C2211yescharacteristic
149#15689276C2211yescharacteristic
150#15689275C2211yescharacteristic
151#15689273C2211yescharacteristic
152#15689273C2211yescharacteristic
153#15689272C2211yescharacteristic
154#15689252C2211yescharacteristic, complemented
155#15689251C2211yescharacteristic, complemented
156#15689226C2211yescharacteristic
157#15689226C2211yescharacteristic, complemented
158#15689225C2211yescharacteristic
159#15689223C2211yescharacteristic, complemented
160#15689222C2211yescharacteristic
161#15689222C2211yescharacteristic, complemented
162#15689221C2211yescharacteristic
163#15689210C2211yescharacteristic
164#15689210C2211yescharacteristic, complemented
165#15689208C2211yescharacteristic
166#15689208C2211yescharacteristic, complemented
167#15689199C2211yescharacteristic, complemented
168#15689198C2211yescharacteristic, complemented
169#15689195C2211yescharacteristic, complemented
170#15689194C2211yescharacteristic, complemented
171#15689191C2211yescharacteristic, complemented
172#15689178C2211yescharacteristic, complemented
173#15689177C2211yescharacteristic, complemented
174#15689173C2211yescharacteristic, complemented
175#15689164C2211yescharacteristic, complemented
176#15689163C2211yescharacteristic, complemented
177#15689162C2211yescharacteristic, complemented
178C2×#13093957C2211yescharacteristic, complemented
179#15689146C2211yescharacteristic, complemented
180#15689145C2211yescharacteristic, complemented
181C2×Dic47⋊C8C2211yescharacteristic, complemented
182#15689129C2211yescharacteristic
183#15689127C2211yescharacteristic
184#15689126C2211yescharacteristic
185#15689126C2211yescharacteristic
186C2×#13093946C2211yescharacteristic
187C2×#13093944C2211yescharacteristic
188C47×#552C2211yescharacteristic, complemented
189C47×#547C2211yescharacteristic
190C47×#501C2211yescharacteristic, complemented
191C47×#484C2211yescharacteristic, complemented
192C47×#483C2211yescharacteristic, complemented
193C47×#482C2211yescharacteristic, complemented
194C47×#480C2211yescharacteristic, complemented
195C47×#478C2211yescharacteristic, complemented
196C47×#477C2211yescharacteristic, complemented
197C47×#468C2211yescharacteristic, complemented
198C47×#465C2211yescharacteristic, complemented
199C47×#440C2211yescharacteristic, complemented
200C47×#435C2211yescharacteristic, complemented
201C47×#428C2211yescharacteristic, complemented
202C2×#107×C47C2211yescharacteristic, complemented
203C2×#10625354—21no—
204C2×#10625350—21no—
205C2×#10625350—21no—
206C2×#10625350—21no—
207C2×#10625352—21no—
208C2×#10625352—21no—
209C2×#10625352D411yescharacteristic
210#41×D47—48no—
211C22×Dic94—21no—
212C2×Q8×D47—21no—
213C22×D188C2311yescharacteristic
214C22×D188C2311yescharacteristic
215C2×D4×D47—21no—
216C2×D4×D47—21no—
217C2×D4×D47—21no—
218C2×D4×D47C2311yescharacteristic
219C22×C4×D47—21no—
220C22×C4×D47—21no—
221C22×C4×D47—21no—
222C2×#10625325C2311yescharacteristic
223C2×#10625325C2311yescharacteristic
224C2×#10625325C2311yescharacteristic
225C2×#10625335C2311yescharacteristic
226C2×#10625336C2311yescharacteristic
227C2×#10625336C2311yescharacteristic
228C2×#10625336C2311yescharacteristic
229C2×#10625329C2311yescharacteristic
230C2×#10625324C2311yescharacteristic
231C2×#10625324C2311yescharacteristic
232C22×C47⋊C8C2311yescharacteristic
233#13094023—21no—
234#13094023—21no—
235#13094023—21no—
236#13094023—21no—
237#13094023C2311yescharacteristic
238#13094023C2311yescharacteristic
239#13094023C2311yescharacteristic
240#13094023C2311yescharacteristic
241#13094023C2311yescharacteristic
242#13094023C2311yescharacteristic
243#13094023C2311yescharacteristic
244#13094022C2311yescharacteristic
245#13094021C2311yescharacteristic
246#13094020C2311yescharacteristic
247#13094020C2311yescharacteristic
248#13094019—21no—
249#13094019—21no—
250#13094019—21no—
251#13094018—21no—
252#13094017—21no—
253#13094017—21no—
254#13094017—21no—
255#13094016—21no—
256#13094016C2311yescharacteristic
257#13094015—21no—
258#13094015—21no—
259#13094015C2311yescharacteristic
260#13094015C2311yescharacteristic
261#13094014—21no—
262#13094014—21no—
263#13094014—21no—
264#13094014—21no—
265#13094014—21no—
266#13094014—21no—
267#13094014—21no—
268#13094013—21no—
269#13094010—21no—
270#13094010—21no—
271#13094010—21no—
272#13094010—21no—
273#13094009—21no—
274#13094009—21no—
275#13094008—21no—
276#13094007—21no—
277#13094007—21no—
278#13094007—21no—
279#13094005—21no—
280#13094004C2311yescharacteristic
281#13094003C2311yescharacteristic
282#13094003C2311yescharacteristic
283#13094002—21no—
284#13094002—21no—
285#13094002—21no—
286#13094002—21no—
287#13094002—21no—
288#13094002—21no—
289#13094002—21no—
290#13094001—21no—
291#13094001—21no—
292#13094001—21no—
293#13094001—21no—
294#13094000—21no—
295#13094000C2311yescharacteristic
296#13093999—21no—
297#13093999—21no—
298#13093999C2311yescharacteristic
299#13093999C2311yescharacteristic
300#13093998—21no—
301#13093998C2311yescharacteristic
302#13093998C2311yescharacteristic
303#13093997—21no—
304#13093997—21no—
305#13093997—21no—
306#13093997—21no—
307#13093996—21no—
308#13093996—21no—
309#13093994—21no—
310#13093994—21no—
311#13093994—21no—
312#13093994—21no—
313#13093992—21no—
314#13093992—21no—
315Q8×Dic47C2311yescharacteristic
316Q8×Dic47C2311yescharacteristic
317C4×Dic94—21no—
318C4×Dic94—21no—
319C4×Dic94—21no—
320C4×Dic94—21no—
321C4×Dic94—21no—
322C4×Dic94C2311yescharacteristic
323C4×Dic94C2311yescharacteristic
324#13093989—21no—
325#13093989—21no—
326#13093989—21no—
327#13093989—21no—
328#13093989—21no—
329#13093989—21no—
330#13093989D411yescharacteristic
331#13093989C2311yescharacteristic
332#13093989C2311yescharacteristic
333C4×D188C2311yescharacteristic
334D4×Dic47D411yescharacteristic
335D4×Dic47C2311yescharacteristic
336#13093986—21no—
337#13093986—21no—
338#13093986—21no—
339#13093986—21no—
340#13093986—21no—
341#13093986C2311yescharacteristic
342#13093986C2311yescharacteristic
343#13093986C2311yescharacteristic
344#13093986C2311yescharacteristic
345#13093986C2311yescharacteristic
346#13093986C2311yescharacteristic
347#13093986C2311yescharacteristic
348C4×C22⋊D47—21no—
349C4×C22⋊D47C2311yescharacteristic
350C4×C22⋊D47C2311yescharacteristic
351(C22⋊D47)⋊C4—21no—
352(C22⋊D47)⋊C4—21no—
353(C22⋊D47)⋊C4—21no—
354(C22⋊D47)⋊C4D411yescharacteristic
355(C22⋊D47)⋊C4D411yescharacteristic
356#13093983—21no—
357#13093983C2311yescharacteristic
358#13093982D411yescharacteristic
359#13093982C2311yescharacteristic
360#13093982C2311yescharacteristic
361#13093981—21no—
362#13093980—21no—
363#13093980—21no—
364#13093980—21no—
365#13093980—21no—
366#13093980D411yescharacteristic
367#13093980D411yescharacteristic
368C2×C4⋊Dic47C2311yescharacteristic
369C2×Dic47⋊C4—21no—
370C4⋊C4×D47C2311yescharacteristic
371C2×(C2×D47)⋊C4—21no—
372C2×(C2×D47)⋊C4—21no—
373C22⋊C4×D47—21no—
374C2×C4×Dic47C2311yescharacteristic
375C2×C4×Dic47C2311yescharacteristic
376C42×D47C2311yescharacteristic
377#13093958C2311yescharacteristic
378#13093958C2311yescharacteristic
379#13093957C2311yescharacteristic
380#13093957C2311yescharacteristic
381#13093957C2311yescharacteristic
382#13093957C2311yescharacteristic
383#13093957C2311yescharacteristic
384#13093957C2311yescharacteristic
385#13093957C2311yescharacteristic
386#13093957C2311yescharacteristic
387#13093956C2311yescharacteristic
388#13093955C2311yescharacteristic
389#13093955C2311yescharacteristic
390#13093955C2311yescharacteristic
391#13093955C2311yescharacteristic
392C4⋊(C47⋊C8)C2311yescharacteristic
393Dic47⋊C8C2311yescharacteristic
394Dic47⋊C8C2311yescharacteristic
395Dic47⋊C8C2311yescharacteristic
396Dic47⋊C8C2311yescharacteristic
397Dic47⋊C8C2311yescharacteristic
398Dic47⋊C8C2311yescharacteristic
399Dic47⋊C8C2311yescharacteristic
400Dic47⋊C8C2311yescharacteristic
401#13093949C2311yescharacteristic
402#13093948C2311yescharacteristic
403#13093947C2311yescharacteristic
404#13093947C2311yescharacteristic
405#13093947C2311yescharacteristic
406#13093946C2311yescharacteristic
407#13093946C2311yescharacteristic
408#13093946C2311yescharacteristic
409#13093946C2311yescharacteristic
410#13093946C2311yescharacteristic
411#13093946C2311yescharacteristic
412#13093946C2311yescharacteristic
413#13093946C2311yescharacteristic
414#13093946C2311yescharacteristic
415#13093945C2311yescharacteristic
416#13093945C2311yescharacteristic
417#13093945C2311yescharacteristic
418#13093944C2311yescharacteristic
419#13093944C2311yescharacteristic
420#13093944C2311yescharacteristic
421#13093944C2311yescharacteristic
422#13093944C2311yescharacteristic
423#13093944C2311yescharacteristic
424#13093944C2311yescharacteristic
425#13093944C2311yescharacteristic
426#13093944C2311yescharacteristic
427C22⋊(C47⋊C8)C2311yescharacteristic
428C22⋊(C47⋊C8)C2311yescharacteristic
429(C2×D47)⋊C8C2311yescharacteristic
430(C2×D47)⋊C8C2311yescharacteristic
431#13093935C2311yescharacteristic
432#13093934C2311yescharacteristic
433#13093934C2311yescharacteristic
434C8×Dic47C2311yescharacteristic
435C8×Dic47C2311yescharacteristic
436C2×#41×C47—21no—
437C2×SD16×C47C2311yescharacteristic
438C2×M16×C47C2311yescharacteristic
439C22×C8×C47C2311yescharacteristic
440C4⋊Q8×C47C2311yescharacteristic
441#126×C47—21no—
442#125×C47—21no—
443#125×C47C2311yescharacteristic
444#123×C47—21no—
445#123×C47—21no—
446#123×C47—21no—
447C22⋊Q8×C47—21no—
448C22⋊Q8×C47C2311yescharacteristic
449C22⋊Q8×C47C2311yescharacteristic
450#121×C47C2311yescharacteristic
451#121×C47C2311yescharacteristic
452C4×Q8×C47C2311yescharacteristic
453C4×D4×C47C2311yescharacteristic
454C4×D4×C47C2311yescharacteristic
455#117×C47—21no—
456#117×C47C2311yescharacteristic
457C2×C4⋊C4×C47C2311yescharacteristic
458C2×C4⋊C4×C47C2311yescharacteristic
459C2×C4⋊C4×C47C2311yescharacteristic
460#107×C47C2311yescharacteristic
461#107×C47C2311yescharacteristic
462#107×C47C2311yescharacteristic
463#107×C47C2311yescharacteristic
464#107×C47C2311yescharacteristic
465#107×C47C2311yescharacteristic
466#106×C47C2311yescharacteristic
467#106×C47C2311yescharacteristic
468#106×C47C2311yescharacteristic
469C4⋊C8×C47C2311yescharacteristic
470#103×C47C2311yescharacteristic
471#103×C47C2311yescharacteristic
472#103×C47C2311yescharacteristic
473#102×C47C2311yescharacteristic
474#102×C47C2311yescharacteristic
475#102×C47C2311yescharacteristic
476C22⋊C8×C47C2311yescharacteristic
477C22⋊C8×C47C2311yescharacteristic
478#97×C47C2311yescharacteristic
479C23×D47—21no—
480C23×D47—21no—
481C23×D47—21no—
482#41×C47—44no—
483C2×Q8×C47—21no—
484C2×Q8×C47C2411yescharacteristic
485C2×D4×C47—21no—
486C2×D4×C47—21no—
487C2×D4×C47C2×D411yescharacteristic
488C2×D4×C47C2411yescharacteristic
489C22×C4×C47—21no—
490C22×C4×C47—21no—
491C22×C4×C47—21no—
492C22×C4×C47—21no—
493C22×C4×C47C2411yescharacteristic
494C22×C4×C47C2411yescharacteristic
495C2×C22⋊D47—21no—
496C2×C22⋊D47—21no—
497C2×C22⋊D47—21no—
498C2×C22⋊D47—21no—
499C2×C22⋊D47—21no—
500C2×C22⋊D47—21no—
501C2×C22⋊D47—21no—
502C2×C22⋊D47C2×D411yescharacteristic
503C2×C22⋊D47C2×D411yescharacteristic
504C22×Dic47—21no—
505C22×Dic47—21no—
506C22×Dic47C2×D411yescharacteristic
507C22×Dic47C2×D411yescharacteristic
508C22×Dic47C2×D411yescharacteristic
509C22×Dic47C2×D411yescharacteristic
510#10625354—44no—
511Q8×D47—44no—
512#10625352—24no—
513#10625352—44no—
514#10625352—44no—
515D4×D47—22no—
516D4×D47—41no—
517D4×D47—44no—
518D4×D47—44no—
519D4×D47—44no—
520#10625350—44no—
521#10625350—44no—
522#10625350—44no—
523C2×D188—22no—
524C2×D188—22no—
525C2×D188—21no—
526C2×D188—21no—
527C2×D188—21no—
528C2×D188—21no—
529C2×D188—21no—
530C2×D188—21no—
531C2×D188—41no—
532C2×D188—41no—
533C2×D188C2411yescharacteristic
534C2×D188C2411yescharacteristic
535C2×D188C2411yescharacteristic
536C2×C4×D47—21no—
537C2×C4×D47—21no—
538C2×C4×D47—21no—
539C2×C4×D47—21no—
540C2×C4×D47—21no—
541C2×C4×D47—21no—
542C2×C4×D47—21no—
543C2×C4×D47—21no—
544C2×C4×D47—21no—
545C2×C4×D47—44no—
546C2×C4×D47—44no—
547C2×C4×D47—44no—
548C2×C4×D47C2×D411yescharacteristic
549C2×C4×D47C2×D411yescharacteristic
550C2×C4×D47C2411yescharacteristic
551C2×Dic94—21no—
552C2×Dic94—21no—
553C2×Dic94—21no—
554C2×Dic94—21no—
555C2×Dic94—21no—
556C2×Dic94—21no—
557C2×Dic94—21no—
558C2×Dic94—44no—
559C2×Dic94C2×D411yescharacteristic
560C2×Dic94C2411yescharacteristic
561SD16×C47—41no—
562M16×C47—41no—
563C2×C8×C47—41no—
564C2×C8×C47C2411yescharacteristic
565C2×C8×C47C2411yescharacteristic
566C2×C8×C47C2411yescharacteristic
567C2×C8×C47C2411yescharacteristic
568C4⋊C4×C47—21no—
569C4⋊C4×C47—21no—
570C4⋊C4×C47—21no—
571C4⋊C4×C47—21no—
572C4⋊C4×C47—21no—
573C4⋊C4×C47—21no—
574C4⋊C4×C47—21no—
575C4⋊C4×C47—21no—
576C4⋊C4×C47—21no—
577C4⋊C4×C47C2×D411yescharacteristic
578C4⋊C4×C47C2411yescharacteristic
579C4⋊C4×C47C2411yescharacteristic
580C4⋊C4×C47C2411yescharacteristic
581C4⋊C4×C47C2411yescharacteristic
582C4⋊C4×C47C2411yescharacteristic
583C4⋊C4×C47C2411yescharacteristic
584C22⋊C4×C47—21no—
585C22⋊C4×C47—21no—
586C22⋊C4×C47—21no—
587C22⋊C4×C47—21no—
588C22⋊C4×C47—21no—
589C22⋊C4×C47—21no—
590C22⋊C4×C47C2×D411yescharacteristic
591C22⋊C4×C47C2×D411yescharacteristic
592C42×C47—21no—
593C42×C47—21no—
594C42×C47C2411yescharacteristic
595C22⋊Dic47—21no—
596C22⋊Dic47—21no—
597C22⋊Dic47—21no—
598C22⋊Dic47—21no—
599C22⋊Dic47C2×D411yescharacteristic
600C22⋊Dic47C2×D411yescharacteristic
601#10625336—22no—
602#10625336—41no—
603#10625336—41no—
604#10625335—41no—
605(C2×D47)⋊C4—21no—
606(C2×D47)⋊C4—21no—
607(C2×D47)⋊C4—21no—
608(C2×D47)⋊C4—21no—
609(C2×D47)⋊C4—21no—
610(C2×D47)⋊C4—21no—
611(C2×D47)⋊C4—21no—
612(C2×D47)⋊C4—21no—
613(C2×D47)⋊C4—21no—
614(C2×D47)⋊C4—21no—
615(C2×D47)⋊C4—21no—
616(C2×D47)⋊C4—21no—
617(C2×D47)⋊C4—21no—
618(C2×D47)⋊C4—21no—
619(C2×D47)⋊C4—21no—
620(C2×D47)⋊C4—21no—
621(C2×D47)⋊C4C2×D411yescharacteristic
622(C2×D47)⋊C4C2×D411yescharacteristic
623C4⋊Dic47—21no—
624C4⋊Dic47—21no—
625C4⋊Dic47—21no—
626C4⋊Dic47—21no—
627C4⋊Dic47—21no—
628C4⋊Dic47—21no—
629C4⋊Dic47C2×D411yescharacteristic
630C4⋊Dic47C2411yescharacteristic
631C4⋊Dic47C2411yescharacteristic
632C4⋊Dic47C2411yescharacteristic
633C4⋊Dic47C2411yescharacteristic
634Dic47⋊C4—21no—
635Dic47⋊C4—21no—
636Dic47⋊C4—21no—
637Dic47⋊C4—21no—
638Dic47⋊C4—21no—
639Dic47⋊C4—21no—
640Dic47⋊C4—21no—
641Dic47⋊C4—21no—
642Dic47⋊C4—21no—
643Dic47⋊C4—21no—
644Dic47⋊C4—21no—
645Dic47⋊C4—21no—
646Dic47⋊C4—21no—
647Dic47⋊C4—21no—
648Dic47⋊C4—21no—
649Dic47⋊C4—21no—
650Dic47⋊C4—21no—
651Dic47⋊C4—21no—
652Dic47⋊C4—21no—
653Dic47⋊C4—21no—
654Dic47⋊C4C2×D411yescharacteristic
655Dic47⋊C4C2×D411yescharacteristic
656Dic47⋊C4C2×D411yescharacteristic
657Dic47⋊C4C2×D411yescharacteristic
658C4×Dic47—21no—
659C4×Dic47—21no—
660C4×Dic47—21no—
661C4×Dic47—21no—
662C4×Dic47—21no—
663C4×Dic47—21no—
664C4×Dic47—21no—
665C4×Dic47—21no—
666C4×Dic47C2×D411yescharacteristic
667C4×Dic47C2×D411yescharacteristic
668C4×Dic47C2×D411yescharacteristic
669C4×Dic47C2×D411yescharacteristic
670C4×Dic47C2×D411yescharacteristic
671C4×Dic47C2×D411yescharacteristic
672C4×Dic47C2411yescharacteristic
673C4×Dic47C2411yescharacteristic
674C4×Dic47C2411yescharacteristic
675#10625329—41no—
676C2×C47⋊C8—41no—
677C2×C47⋊C8C2411yescharacteristic
678C2×C47⋊C8C2411yescharacteristic
679C2×C47⋊C8C2411yescharacteristic
680C2×C47⋊C8C2411yescharacteristic
681#10625325—22no—
682#10625325—41no—
683#10625325—41no—
684#10625324—41no—
685#10625324—41no—
686C23×C47—21no—
687C23×C47C22×D411yescharacteristic
688C23×C47C22×D411yescharacteristic
689C22×D47—21no—
690C22×D47—21no—
691C22×D47—21no—
692C22×D47—42no—
693C22×D47—42no—
694C22×D47—42no—
695C22×D47—42no—
696C22×D47—42no—
697C22×D47—42no—
698C22×D47—81no—
699C22×D47—81no—
700C22×D47—81no—
701C22×D47C22×D411yescharacteristic
702Q8×C47—21no—
703Q8×C47—21no—
704Q8×C47—42no—
705D4×C47—22no—
706D4×C47—21no—
707D4×C47—21no—
708D4×C47—42no—
709D4×C47—42no—
710C2×C4×C47—21no—
711C2×C4×C47—21no—
712C2×C4×C47—21no—
713C2×C4×C47—21no—
714C2×C4×C47—21no—
715C2×C4×C47—21no—
716C2×C4×C47—21no—
717C2×C4×C47—21no—
718C2×C4×C47—21no—
719C2×C4×C47—21no—
720C2×C4×C47—21no—
721C2×C4×C47—42no—
722C2×C4×C47—42no—
723C2×C4×C47—42no—
724C2×C4×C47—42no—
725C2×C4×C47C22×D411yescharacteristic
726C2×C4×C47C22×D411yescharacteristic
727C2×C4×C47C22×D411yescharacteristic
728C2×C4×C47C22×D411yescharacteristic
729C2×C4×C47C2511yescharacteristic
730C22⋊D47—22no—
731C22⋊D47—22no—
732C22⋊D47—42no—
733C22⋊D47—42no—
734C22⋊D47—42no—
735C22⋊D47—42no—
736C22⋊D47—42no—
737C22⋊D47—81no—
738C22⋊D47—81no—
739C2×Dic47—22no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—41no—
746C2×Dic47—41no—
747C2×Dic47—42no—
748C2×Dic47—42no—
749C2×Dic47AGL(1,ℤ/8)14yes—
750C2×Dic47C22×D411yescharacteristic
751C2×Dic47C22×D411yescharacteristic
752C2×Dic47C22×D411yescharacteristic
753C2×Dic47C22×D411yescharacteristic
754C2×Dic47C22×D411yescharacteristic
755C2×Dic47C22×D411yescharacteristic
756C2×Dic47C22×D411yescharacteristic
757D188—21no—
758D188—21no—
759D188—21no—
760D188—21no—
761D188—21no—
762D188—42no—
763D188—42no—
764D188—42no—
765D188—42no—
766D188—42no—
767D188—81no—
768D1882−1+412yes—
769C4×D47—21no—
770C4×D47—21no—
771C4×D47—22no—
772C4×D47—41no—
773C4×D47—42no—
774C4×D47—42no—
775C4×D47—42no—
776C4×D47—42no—
777C4×D47—42no—
778C4×D47—42no—
779C4×D47—42no—
780C4×D47—42no—
781C4×D47—42no—
782Dic94—22no—
783Dic94—21no—
784Dic94—21no—
785Dic94—42no—
786Dic94—42no—
787Dic94—42no—
788Dic94—42no—
789Dic94—42no—
790Dic94—42no—
791Dic94—42no—
792C8×C47—21no—
793C8×C47—21no—
794C8×C47—21no—
795C8×C47—21no—
796C47⋊C8—21no—
797C47⋊C8—21no—
798C47⋊C8—21no—
799C47⋊C8—21no—
800#62109—471nomaximal, Sylow
801C22×C47—21no—
802C22×C47—21no—
803C22×C47—21no—
804C22×C47—21no—
805C22×C47—21no—
806C22×C47—41no—
807C22×C47—41no—
808C22×C47—41no—
809C22×C47C2×AGL(1,ℤ/8)12yes—
810C22×C47C23×D411yescharacteristic
811C2×D47—21no—
812C2×D47—21no—
813C2×D47—22no—
814C2×D47—21no—
815C2×D47—41no—
816C2×D47—41no—
817C2×D47—41no—
818C2×D47—41no—
819C2×D47—41no—
820C2×D47—41no—
821C2×D47—41no—
822C2×D47—41no—
823C2×D47—84no—
824C2×D47—84no—
825C2×D47—84no—
826C4×C47—21no—
827C4×C47—21no—
828C4×C47—21no—
829C4×C47—21no—
830C4×C47—41no—
831C4×C47—41no—
832C4×C47—41no—
833C4×C47—41no—
834C4×C47—41no—
835C4×C47—41no—
836C4×C47—41no—
837C4×C47C2×2−1+411yescharacteristic
838C4×C47#58511yescharacteristic
839Dic47—21no—
840Dic47—21no—
841Dic47—21no—
842Dic47—21no—
843Dic47—21no—
844Dic47—41no—
845Dic47—41no—
846Dic47—41no—
847Dic47—41no—
848Dic47—41no—
849Dic47C2×AGL(1,ℤ/8)12yes—
850Dic47C2×AGL(1,ℤ/8)12yes—
851#3509—471no—
852D4×#41—471no—
853#3386—471no—
854#3386—471no—
855#3368—471no—
856#3368—471no—
857#3353—471no—
858#3353—471no—
859#3343—471no—
860#3343—471no—
861#3343—471no—
862#3343D4711yescharacteristic, complemented
863#3324—471no—
864#3324—471no—
865#3310—471no—
866#3310—471no—
867#3310—471no—
868#3310—471no—
869#3254—471no—
870#3254—471no—
871#3246—471no—
872#3235—471no—
873#3235—471no—
874#3226—471no—
875#3110—471no—
876#3110—471no—
877#3101—471no—
878#3077—471no—
879#3077—471no—
880C2×#474—471no—
881#2989—471no—
882C2×C47—22no—
883C2×C47—41no—
884C2×C47—81no—
885C2×C47#348911yescharacteristic
886C2×C47C22×AGL(1,ℤ/8)11yescharacteristic
887C2×C47#358611yescharacteristic
888D47—41no—
889D47—42no—
890D47—81no—
891D47—81no—
892C22×#41—941no—
893#557—471no—
894#557—471no—
895#557—941no—
896#556—471no—
897#556—471no—
898#556—941no—
899#552—471no—
900#552—471no—
901#552—471no—
902#552—941no—
903#552—941no—
904#552C2×D4711yescharacteristic, complemented
905#550—471no—
906D4×Q8—471no—
907#548—941no—
908#547—471no—
909#547—471no—
910#547C2×D4711yescharacteristic
911#546—941no—
912#546—941no—
913#546—941no—
914D42—471no—
915D42—471no—
916D42—471no—
917#541—941no—
918#541—941no—
919#536—941no—
920#533—471no—
921#533—471no—
922#533—471no—
923#533—471no—
924#533—471no—
925#532—471no—
926#532—471no—
927#532—471no—
928C2×C4⋊Q8—471no—
929#525—941no—
930#525—941no—
931#525—941no—
932#519—941no—
933C4×#41—471no—
934C2×C4×D4—471no—
935C2×C4×D4—471no—
936C2×C4×D4—471no—
937#501—471no—
938#501—471no—
939#501—471no—
940#501C2×D4711yescharacteristic, complemented
941#500—471no—
942#500—471no—
943#490—471no—
944#490—471no—
945#490—471no—
946#490—471no—
947#486—471no—
948#486—471no—
949#484—471no—
950#484—471no—
951#484—471no—
952#484C2×D4711yescharacteristic, complemented
953#483—471no—
954#483C2×D4711yescharacteristic, complemented
955#482—471no—
956#482—471no—
957#482—471no—
958#482—471no—
959#482—471no—
960#482—471no—
961#482—471no—
962#482C2×D4711yescharacteristic, complemented
963#480—471no—
964#480—471no—
965#480—471no—
966#480C2×D4711yescharacteristic, complemented
967#478—471no—
968#478—471no—
969#478—471no—
970#478—471no—
971#478—471no—
972#478—471no—
973#478—471no—
974#478C2×D4711yescharacteristic, complemented
975#477—471no—
976#477—471no—
977#477—471no—
978#477C2×D4711yescharacteristic, complemented
979#476—471no—
980#476—471no—
981#476—471no—
982#476—471no—
983#475—471no—
984#475—471no—
985#474—471no—
986#474—471no—
987#474—471no—
988#474—471no—
989#474—471no—
990#474—471no—
991#474—471no—
992#474—471no—
993#474—471no—
994#474—471no—
995#474—471no—
996#474—471no—
997#468—471no—
998#468—471no—
999#468—471no—
1000#468—471no—
1001#468—471no—
1002#468—471no—
1003#468—471no—
1004#468C2×D4711yescharacteristic, complemented
1005#465—471no—
1006#465—471no—
1007#465—471no—
1008#465C2×D4711yescharacteristic, complemented
1009#461—471no—
1010#461—471no—
1011#461—471no—
1012#461—471no—
1013#460—471no—
1014#460—471no—
1015#460—471no—
1016#460—471no—
1017#460—471no—
1018#460—471no—
1019#450—471no—
1020#450—471no—
1021#450—471no—
1022#450—471no—
1023#450—471no—
1024#450—471no—
1025#446—471no—
1026#446—471no—
1027#440—471no—
1028#440—471no—
1029#440—471no—
1030#440—471no—
1031#440—471no—
1032#440—471no—
1033#440—471no—
1034#440C2×D4711yescharacteristic, complemented
1035C4×SD16—471no—
1036C4×SD16—471no—
1037C4×SD16—471no—
1038C4×SD16—471no—
1039#436—471no—
1040#436—471no—
1041#435—471no—
1042#435—471no—
1043#435—471no—
1044#435C2×D4711yescharacteristic, complemented
1045#432—471no—
1046#432—471no—
1047#431—471no—
1048#428—471no—
1049#428—471no—
1050#428—471no—
1051#428C2×D4711yescharacteristic, complemented
1052C2×#107—471no—
1053C2×#107C2×D4711yescharacteristic, complemented
1054#423—471no—
1055#423—471no—
1056C2×C4⋊C8—471no—
1057#418—471no—
1058#418—471no—
1059#418—471no—
1060#418—471no—
1061C2×#102—471no—
1062C2×#102—471no—
1063C47#6210911yescharacteristic, complemented, Sylow
1064C2×#41—21no—
1065C2×#41—471no—
1066C2×#41—941no—
1067C2×#41—941no—
1068C2×#41—941no—
1069C2×#41—941no—
1070C2×#41—941no—
1071C2×#41—941no—
1072C2×#41—1888no—
1073C22×Q8—941no—
1074C22×Q8—941no—
1075C22×D4—471no—
1076C22×D4—471no—
1077C22×D4—471no—
1078C22×D4—941no—
1079C22×D4—941no—
1080C22×D4—941no—
1081C23×C4—941no—
1082C23×C4—941no—
1083C23×C4—941no—
1084C2×SD16—471no—
1085C2×SD16—471no—
1086C2×SD16—471no—
1087C2×SD16—471no—
1088C2×SD16—471no—
1089C2×SD16—471no—
1090C2×SD16—471no—
1091C2×SD16C22×D4711yescharacteristic
1092C2×M16—471no—
1093C2×M16—471no—
1094C2×M16—471no—
1095C2×M16C22×D4711yescharacteristic
1096C22×C8—471no—
1097C22×C8C22×D4711yescharacteristic
1098C4⋊Q8—471no—
1099C4⋊Q8—471no—
1100C4⋊Q8—471no—
1101C4⋊Q8—471no—
1102C4⋊Q8—471no—
1103C4⋊Q8—471no—
1104C4⋊Q8—471no—
1105C4⋊Q8—471no—
1106C4⋊Q8—941no—
1107C4⋊Q8—941no—
1108C4⋊Q8—941no—
1109C4⋊Q8—941no—
1110C4⋊Q8C22×D4711yescharacteristic
1111#127—471no—
1112#127—471no—
1113#127—471no—
1114#126—21no—
1115#126—941no—
1116#126—941no—
1117#126—941no—
1118#126—941no—
1119#126—941no—
1120#126—941no—
1121#126—941no—
1122#125—21no—
1123#125—471no—
1124#125—471no—
1125#125—471no—
1126#125—941no—
1127#125—941no—
1128#125—941no—
1129#125—941no—
1130#125—941no—
1131#125—941no—
1132#125—941no—
1133#125—941no—
1134#125—941no—
1135#125—941no—
1136#125C22×D4711yescharacteristic
1137#124—941no—
1138#124—941no—
1139#124—941no—
1140#124—941no—
1141#124—941no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—941no—
1146#123—941no—
1147#123—941no—
1148#123—941no—
1149#123—941no—
1150#123—941no—
1151#123—941no—
1152C22⋊Q8—21no—
1153C22⋊Q8—471no—
1154C22⋊Q8—471no—
1155C22⋊Q8—471no—
1156C22⋊Q8—471no—
1157C22⋊Q8—941no—
1158C22⋊Q8—941no—
1159C22⋊Q8—941no—
1160C22⋊Q8—941no—
1161C22⋊Q8—941no—
1162C22⋊Q8—941no—
1163C22⋊Q8—941no—
1164C22⋊Q8—941no—
1165C22⋊Q8—941no—
1166C22⋊Q8—941no—
1167C22⋊Q8—941no—
1168C22⋊Q8—941no—
1169C22⋊Q8C22×D4711yescharacteristic
1170C22⋊Q8C22×D4711yescharacteristic
1171#121—471no—
1172#121—471no—
1173#121—471no—
1174#121—471no—
1175#121—941no—
1176#121—941no—
1177#121—941no—
1178#121—941no—
1179#121—941no—
1180#121—941no—
1181#121—941no—
1182#121—941no—
1183#121—941no—
1184#121C22×D4711yescharacteristic
1185#121C22×D4711yescharacteristic
1186#120—941no—
1187#120—941no—
1188#120—941no—
1189#120—941no—
1190#120—941no—
1191#120—941no—
1192C4×Q8—471no—
1193C4×Q8—471no—
1194C4×Q8—471no—
1195C4×Q8—471no—
1196C4×Q8—471no—
1197C4×Q8—471no—
1198C4×Q8—471no—
1199C4×Q8—941no—
1200C4×Q8—941no—
1201C4×Q8—941no—
1202C4×Q8—941no—
1203C4×Q8—941no—
1204C4×Q8—941no—
1205C4×Q8—941no—
1206C4×Q8—941no—
1207C4×Q8—941no—
1208C4×Q8—941no—
1209C4×Q8—941no—
1210C4×Q8C22×D4711yescharacteristic
1211C4×D4—471no—
1212C4×D4—471no—
1213C4×D4—471no—
1214C4×D4—471no—
1215C4×D4—471no—
1216C4×D4—471no—
1217C4×D4—471no—
1218C4×D4—471no—
1219C4×D4—471no—
1220C4×D4—471no—
1221C4×D4—471no—
1222C4×D4—471no—
1223C4×D4—471no—
1224C4×D4—471no—
1225C4×D4—941no—
1226C4×D4—941no—
1227C4×D4—941no—
1228C4×D4—941no—
1229C4×D4—941no—
1230C4×D4—941no—
1231C4×D4—941no—
1232C4×D4—941no—
1233C4×D4—941no—
1234C4×D4C22×D4711yescharacteristic
1235C4×D4C22×D4711yescharacteristic
1236#117—21no—
1237#117—471no—
1238#117—471no—
1239#117—471no—
1240#117—471no—
1241#117—471no—
1242#117—471no—
1243#117—941no—
1244#117—941no—
1245#117—941no—
1246#117—941no—
1247#117—941no—
1248#117—941no—
1249#117C22×D4711yescharacteristic
1250C2×C4⋊C4—471no—
1251C2×C4⋊C4—471no—
1252C2×C4⋊C4—941no—
1253C2×C4⋊C4C22×D4711yescharacteristic
1254C2×C4⋊C4C22×D4711yescharacteristic
1255C2×C4⋊C4C22×D4711yescharacteristic
1256C2×C22⋊C4—941no—
1257C2×C22⋊C4—941no—
1258C2×C22⋊C4—941no—
1259C2×C42—471no—
1260C2×C42—471no—
1261C2×C42—471no—
1262#107—471no—
1263#107—471no—
1264#107—471no—
1265#107—471no—
1266#107—471no—
1267#107—471no—
1268#107—471no—
1269#107—471no—
1270#107—471no—
1271#107—471no—
1272#107C22×D4711yescharacteristic
1273#107C22×D4711yescharacteristic
1274#107C22×D4711yescharacteristic
1275#107C22×D4711yescharacteristic
1276#107C22×D4711yescharacteristic
1277#107C22×D4711yescharacteristic
1278#106—471no—
1279#106—471no—
1280#106—471no—
1281#106—471no—
1282#106—471no—
1283#106C22×D4711yescharacteristic
1284#106C22×D4711yescharacteristic
1285#106C22×D4711yescharacteristic
1286C4⋊C8—471no—
1287C4⋊C8—471no—
1288C4⋊C8—471no—
1289C4⋊C8—471no—
1290C4⋊C8—471no—
1291C4⋊C8—471no—
1292C4⋊C8—471no—
1293C4⋊C8—471no—
1294C4⋊C8—471no—
1295C4⋊C8C22×D4711yescharacteristic
1296#103—471no—
1297#103—471no—
1298#103—471no—
1299#103—471no—
1300#103—471no—
1301#103C22×D4711yescharacteristic
1302#103C22×D4711yescharacteristic
1303#103C22×D4711yescharacteristic
1304#102—471no—
1305#102—471no—
1306#102—471no—
1307#102—471no—
1308#102—471no—
1309#102—471no—
1310#102—471no—
1311#102—471no—
1312#102—471no—
1313#102—471no—
1314#102—471no—
1315#102—471no—
1316#102—471no—
1317#102—471no—
1318#102—471no—
1319#102—471no—
1320#102—471no—
1321#102—471no—
1322#102—471no—
1323#102—471no—
1324#102—471no—
1325#102C22×D4711yescharacteristic
1326#102C22×D4711yescharacteristic
1327#102C22×D4711yescharacteristic
1328C22⋊C8—471no—
1329C22⋊C8—471no—
1330C22⋊C8—471no—
1331C22⋊C8—471no—
1332C22⋊C8C22×D4711yescharacteristic
1333C22⋊C8C22×D4711yescharacteristic
1334#97—471no—
1335#97—471no—
1336#97—471no—
1337#97C22×D4711yescharacteristic
1338C4×C8—471no—
1339C4×C8—471no—
1340C24—941no—
1341C24—941no—
1342C24—941no—
1343#41—44no—
1344#41—944no—
1345#41—1884no—
1346#41—1884no—
1347#41—1884no—
1348#41—1884no—
1349#41—1884no—
1350#41—1884no—
1351C2×Q8—21no—
1352C2×Q8—471no—
1353C2×Q8—471no—
1354C2×Q8—941no—
1355C2×Q8—941no—
1356C2×Q8—941no—
1357C2×Q8—941no—
1358C2×Q8—941no—
1359C2×Q8—941no—
1360C2×Q8—941no—
1361C2×Q8—1884no—
1362C2×Q8—1884no—
1363C2×Q8C23×D4711yescharacteristic
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—471no—
1367C2×D4—471no—
1368C2×D4—471no—
1369C2×D4—471no—
1370C2×D4—471no—
1371C2×D4—942no—
1372C2×D4—942no—
1373C2×D4—941no—
1374C2×D4—941no—
1375C2×D4—941no—
1376C2×D4—941no—
1377C2×D4—941no—
1378C2×D4—941no—
1379C2×D4—941no—
1380C2×D4—942no—
1381C2×D4—941no—
1382C2×D4—941no—
1383C2×D4—941no—
1384C2×D4—941no—
1385C2×D4—941no—
1386C2×D4—941no—
1387C2×D4—1881no—
1388C2×D4—1881no—
1389C2×D4—1881no—
1390C2×D4—1884no—
1391C2×D4—1884no—
1392C2×D4—1884no—
1393C2×D4D4×D4711yescharacteristic
1394C2×D4C23×D4711yescharacteristic
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—471no—
1400C22×C4—471no—
1401C22×C4—471no—
1402C22×C4—471no—
1403C22×C4—471no—
1404C22×C4—471no—
1405C22×C4—471no—
1406C22×C4—941no—
1407C22×C4—941no—
1408C22×C4—941no—
1409C22×C4—941no—
1410C22×C4—941no—
1411C22×C4—941no—
1412C22×C4—941no—
1413C22×C4—941no—
1414C22×C4—941no—
1415C22×C4—941no—
1416C22×C4—941no—
1417C22×C4—1884no—
1418C22×C4—1884no—
1419C22×C4—1884no—
1420C22×C4C23×D4711yescharacteristic
1421C22×C4C23×D4711yescharacteristic
1422SD16—41no—
1423SD16—942no—
1424SD16—942no—
1425SD16—1881no—
1426SD16—1881no—
1427SD16—1881no—
1428SD16—1881no—
1429SD16—1881no—
1430M16—41no—
1431M16—1881no—
1432M16—1881no—
1433M16—1881no—
1434C2×C8—41no—
1435C2×C8—471no—
1436C2×C8—471no—
1437C2×C8—471no—
1438C2×C8—471no—
1439C2×C8—1881no—
1440C2×C8C23×D4711yescharacteristic
1441C2×C8C23×D4711yescharacteristic
1442C2×C8C23×D4711yescharacteristic
1443C2×C8C23×D4711yescharacteristic
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—471no—
1454C4⋊C4—471no—
1455C4⋊C4—471no—
1456C4⋊C4—471no—
1457C4⋊C4—471no—
1458C4⋊C4—471no—
1459C4⋊C4—471no—
1460C4⋊C4—471no—
1461C4⋊C4—471no—
1462C4⋊C4—941no—
1463C4⋊C4—941no—
1464C4⋊C4—941no—
1465C4⋊C4—941no—
1466C4⋊C4—941no—
1467C4⋊C4—941no—
1468C4⋊C4—941no—
1469C4⋊C4—941no—
1470C4⋊C4—941no—
1471C4⋊C4—941no—
1472C4⋊C4—941no—
1473C4⋊C4—941no—
1474C4⋊C4—941no—
1475C4⋊C4—941no—
1476C4⋊C4—941no—
1477C4⋊C4—941no—
1478C4⋊C4—941no—
1479C4⋊C4—941no—
1480C4⋊C4—941no—
1481C4⋊C4—941no—
1482C4⋊C4—941no—
1483C4⋊C4—941no—
1484C4⋊C4—941no—
1485C4⋊C4—941no—
1486C4⋊C4—941no—
1487C4⋊C4—941no—
1488C4⋊C4D4×D4711yescharacteristic
1489C4⋊C4C23×D4711yescharacteristic
1490C4⋊C4C23×D4711yescharacteristic
1491C4⋊C4C23×D4711yescharacteristic
1492C4⋊C4C23×D4711yescharacteristic
1493C4⋊C4C23×D4711yescharacteristic
1494C4⋊C4C23×D4711yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—471no—
1502C22⋊C4—471no—
1503C22⋊C4—471no—
1504C22⋊C4—471no—
1505C22⋊C4—941no—
1506C22⋊C4—941no—
1507C22⋊C4—941no—
1508C22⋊C4—941no—
1509C22⋊C4—941no—
1510C22⋊C4—941no—
1511C22⋊C4—941no—
1512C22⋊C4—941no—
1513C22⋊C4—941no—
1514C22⋊C4—941no—
1515C22⋊C4—941no—
1516C22⋊C4—941no—
1517C22⋊C4—941no—
1518C22⋊C4—941no—
1519C22⋊C4—941no—
1520C22⋊C4—941no—
1521C22⋊C4—941no—
1522C22⋊C4—941no—
1523C22⋊C4—941no—
1524C22⋊C4—941no—
1525C22⋊C4D4×D4711yescharacteristic
1526C22⋊C4D4×D4711yescharacteristic
1527C42—21no—
1528C42—21no—
1529C42—471no—
1530C42—471no—
1531C42—471no—
1532C42—471no—
1533C42—471no—
1534C42—471no—
1535C42—471no—
1536C42—471no—
1537C42—471no—
1538C42—941no—
1539C42—941no—
1540C42—941no—
1541C42—941no—
1542C42—941no—
1543C42—941no—
1544C42—941no—
1545C42—941no—
1546C42C23×D4711yescharacteristic
1547C23—21no—
1548C23—471no—
1549C23—941no—
1550C23—941no—
1551C23—941no—
1552C23—3761no—
1553C23—3761no—
1554C23—3761no—
1555C23—1882no—
1556C23—1882no—
1557C23—1882no—
1558C23—1882no—
1559C23—1882no—
1560C23—1882no—
1561C23C2×D4×D4711yescharacteristic
1562C23C2×D4×D4711yescharacteristic
1563Q8—21no—
1564Q8—21no—
1565Q8—42no—
1566Q8—942no—
1567Q8—941no—
1568Q8—941no—
1569Q8—1882no—
1570Q8—1882no—
1571Q8—1882no—
1572Q8—1882no—
1573Q8—1882no—
1574Q8—1882no—
1575Q8—1882no—
1576D4—22no—
1577D4—21no—
1578D4—21no—
1579D4—42no—
1580D4—42no—
1581D4—472no—
1582D4—942no—
1583D4—942no—
1584D4—941no—
1585D4—941no—
1586D4—941no—
1587D4—941no—
1588D4—941no—
1589D4—3761no—
1590D4—3761no—
1591D4—3761no—
1592D4—1882no—
1593D4—1882no—
1594D4—1882no—
1595D4—1882no—
1596D4—1882no—
1597D4—1882no—
1598D4—1882no—
1599D4—1882no—
1600D4—1882no—
1601D4—1882no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—42no—
1614C2×C4—42no—
1615C2×C4—42no—
1616C2×C4—42no—
1617C2×C4—474no—
1618C2×C4—471no—
1619C2×C4—471no—
1620C2×C4—471no—
1621C2×C4—471no—
1622C2×C4—471no—
1623C2×C4—471no—
1624C2×C4—471no—
1625C2×C4—942no—
1626C2×C4—942no—
1627C2×C4—941no—
1628C2×C4—941no—
1629C2×C4—941no—
1630C2×C4—941no—
1631C2×C4—941no—
1632C2×C4—941no—
1633C2×C4—941no—
1634C2×C4—1881no—
1635C2×C4—1882no—
1636C2×C4—1882no—
1637C2×C4—1882no—
1638C2×C4—1882no—
1639C2×C4—1882no—
1640C2×C4—1882no—
1641C2×C4—1882no—
1642C2×C4—1882no—
1643C2×C4—1882no—
1644C2×C4—1882no—
1645C2×C4—1881no—
1646C2×C4—1881no—
1647C2×C4—1882no—
1648C2×C4C2×D4×D4711yescharacteristic
1649C2×C4C2×D4×D4711yescharacteristic
1650C2×C4C2×D4×D4711yescharacteristic
1651C2×C4C2×D4×D4711yescharacteristic
1652C2×C4C24×D4711yescharacteristic
1653C8—21no—
1654C8—21no—
1655C8—21no—
1656C8—21no—
1657C8—941no—
1658C8—941no—
1659C8—941no—
1660C8—941no—
1661C22—21no—
1662C22—21no—
1663C22—21no—
1664C22—21no—
1665C22—21no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—941no—
1670C22—942no—
1671C22—941no—
1672C22—941no—
1673C22—3764no—
1674C22—3764no—
1675C22—3764no—
1676C22—1881no—
1677C22—1881no—
1678C22—1881no—
1679C22—1881no—
1680C22—1881no—
1681C22—1881no—
1682C22—1881no—
1683C22—1881no—
1684C22AGL(1,ℤ/8)×D4712yes—
1685C22C22×D4×D4711yescharacteristic
1686C4—21no—
1687C4—21no—
1688C4—21no—
1689C4—21no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—472no—
1698C4—472no—
1699C4—941no—
1700C4—941no—
1701C4—941no—
1702C4—941no—
1703C4—941no—
1704C4—1881no—
1705C4—1881no—
1706C4—1881no—
1707C4—1881no—
1708C4—1881no—
1709C42−1+4×D4711yescharacteristic
1710C4#1568995911yescharacteristic
1711C2—22no—
1712C2—41no—
1713C2—81no—
1714C2—3761no—
1715C2—3761no—
1716C2—1881no—
1717C2—1882no—
1718C2#2025706211yescharacteristic
1719C2C2×AGL(1,ℤ/8)×D4711yescharacteristic
1720C2#2025817311yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3343C2
socleC22×C47C23×D4
prime radical#20256875C2
hypercenter#3343D47
hypocenterC47#62109
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3343

Complements

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

NH ≅ G/Ntype
1. #20257266C2semidirect
3. #20256312C2semidirect
4. #20256306C2semidirect
5. #20256120C2semidirect
6. #20256118C2semidirect
7. #20255968C2semidirect
8. #20255965C2semidirect
9. #20255826C2semidirect
10. #20255824C2semidirect
11. #20255822C2semidirect
12. #20255617C2semidirect
13. #20255614C2semidirect
14. #20255415C2semidirect
15. #20255411C2semidirect
16. #20255407C2semidirect
17. #20255403C2semidirect
18. #20254774C2semidirect
19. #20254770C2semidirect
20. #20254699C2semidirect
21. #20254587C2semidirect
22. #20254583C2semidirect
23. #20254507C2semidirect
24. #20253485C2semidirect
25. #20253484C2semidirect
26. #20253393C2semidirect
27. #20253184C2semidirect
28. #20253183C2semidirect
29. C2×#15689402C2semidirect
30. #20252500C2semidirect
31. C47×#3343C2semidirect
34. #15689850C22semidirect
35. #15689849C22semidirect
36. #15689844C22semidirect
37. #15689841C22semidirect
39. #15689815C22semidirect
40. #15689813C22semidirect
42. #15689808C22semidirect
58. #15689679C22semidirect
59. #15689677C22semidirect
60. #15689676C22semidirect
61. #15689675C22semidirect
62. #15689675C22semidirect
66. C2×#13094023C22semidirect
75. #15689531C22semidirect
76. #15689530C22semidirect
77. #15689529C22semidirect
78. #15689527C22semidirect
79. #15689527C22semidirect
80. #15689489C22semidirect
81. #15689488C22semidirect
82. #15689486C22semidirect
83. #15689486C22semidirect
84. #15689468C22semidirect
85. #15689468C22semidirect
86. #15689460C22semidirect
87. #15689458C22semidirect
88. #15689457C22semidirect
89. #15689453C22semidirect
90. #15689450C22semidirect
91. #15689450C22semidirect
92. #15689449C22semidirect
93. #15689449C22semidirect
94. #15689448C22semidirect
95. #15689447C22semidirect
96. #15689444C22semidirect
97. #15689437C22semidirect
98. #15689436C22semidirect
99. #15689434C22semidirect
101. #15689426C22semidirect
103. #15689423C22semidirect
105. #15689422C22semidirect
107. #15689417C22semidirect
108. #15689416C22semidirect
109. #15689415C22semidirect
111. #15689412C22semidirect
112. #15689412C22semidirect
113. #15689411C22semidirect
114. #15689407C22semidirect
115. #15689406C22semidirect
120. #15689402C22semidirect
121. #15689402C22semidirect
122. #15689402C22semidirect
123. #15689402C22semidirect
124. #15689402C22semidirect
125. #15689402C22semidirect
126. #15689401C22semidirect
127. #15689401C22semidirect
128. #15689372C22semidirect
129. #15689372C22semidirect
130. #15689371C22semidirect
131. #15689370C22semidirect
132. #15689370C22semidirect
133. #15689369C22semidirect
134. #15689367C22semidirect
135. #15689354C22semidirect
136. #15689352C22semidirect
137. #15689350C22semidirect
139. #15689327C22semidirect
140. #15689327C22semidirect
141. #15689326C22semidirect
142. #15689324C22semidirect
143. #15689323C22semidirect
144. #15689322C22semidirect
145. #15689322C22semidirect
146. #15689321C22semidirect
147. #15689321C22semidirect
154. #15689252C22semidirect
155. #15689251C22semidirect
157. #15689226C22semidirect
159. #15689223C22semidirect
161. #15689222C22semidirect
164. #15689210C22semidirect
166. #15689208C22semidirect
167. #15689199C22semidirect
168. #15689198C22semidirect
169. #15689195C22semidirect
170. #15689194C22semidirect
171. #15689191C22semidirect
172. #15689178C22semidirect
173. #15689177C22semidirect
174. #15689173C22semidirect
175. #15689164C22semidirect
176. #15689163C22semidirect
177. #15689162C22semidirect
178. C2×#13093957C22semidirect
179. #15689146C22semidirect
180. #15689145C22semidirect
181. C2×Dic47⋊C8C22semidirect
188. C47×#552C22semidirect
190. C47×#501C22semidirect
191. C47×#484C22semidirect
192. C47×#483C22semidirect
193. C47×#482C22semidirect
194. C47×#480C22semidirect
195. C47×#478C22semidirect
196. C47×#477C22semidirect
197. C47×#468C22semidirect
198. C47×#465C22semidirect
199. C47×#440C22semidirect
200. C47×#435C22semidirect
201. C47×#428C22semidirect
202. C2×#107×C47C22semidirect
862. #3343D47semidirect
904. #552C2×D47semidirect
940. #501C2×D47semidirect
952. #484C2×D47semidirect
954. #483C2×D47semidirect
962. #482C2×D47semidirect
966. #480C2×D47semidirect
974. #478C2×D47semidirect
978. #477C2×D47semidirect
1004. #468C2×D47semidirect
1008. #465C2×D47semidirect
1034. #440C2×D47semidirect
1044. #435C2×D47semidirect
1051. #428C2×D47semidirect
1053. C2×#107C2×D47semidirect
1063. C47#62109semidirect

Maximal subgroups

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

subgroupindex
#202572662
#202568752
#202563122
#202563062
#202561202
#202561182
#202559682
#202559652
#202558262
#202558242
#202558222
#202556172
#202556142
#202554152
#202554112
#202554072
#202554032
#202547742
#202547702
#202546992
#202545872
#202545832
#202545072
#202534852
#202534842
#202533932
#202531842
#202531832
C2×#156894022
#202525002
C47×#33432
#6210947