Finite Group Databasebeta

← #27099121

Subgroups — #27099121

Order 12032.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257356C211yesmaximal, characteristic, complemented
2#20257347C211yesmaximal, characteristic, complemented
3#20256444C211yesmaximal, characteristic, complemented
4#20256282C211yesmaximal, characteristic, complemented
5#20256043C211yesmaximal, characteristic, complemented
6#20256029C211yesmaximal, characteristic, complemented
7#20255996C211yesmaximal, characteristic, complemented
8#20255910C211yesmaximal, characteristic, complemented
9#20255906C211yesmaximal, characteristic, complemented
10#20255313C211yesmaximal, characteristic, complemented
11#20255309C211yesmaximal, characteristic, complemented
12#20255298C211yesmaximal, characteristic, complemented
13#20255230C211yesmaximal, characteristic, complemented
14#20255221C211yesmaximal, characteristic, complemented
15#20255210C211yesmaximal, characteristic, complemented
16#20254981C211yesmaximal, characteristic, complemented
17#20254916C211yesmaximal, characteristic, complemented
18#20254908C211yesmaximal, characteristic, complemented
19#20254062C211yesmaximal, characteristic, complemented
20#20254050C211yesmaximal, characteristic, complemented
21#20253944C211yesmaximal, characteristic, complemented
22#20253661C211yesmaximal, characteristic, complemented
23#20253641C211yesmaximal, characteristic, complemented
24#20253637C211yesmaximal, characteristic, complemented
25#20253548C211yesmaximal, characteristic, complemented
26#20253535C211yesmaximal, characteristic, complemented
27#20252361C211yesmaximal, characteristic, complemented
28#20252217C211yesmaximal, characteristic, complemented
29#20252216C211yesmaximal, characteristic, complemented
30C4×#13094045C211yesmaximal, characteristic, complemented
31C47×#3125C211yesmaximal, characteristic, complemented
32C2×#13094049C2211yescharacteristic
33C2×#13094048C2211yescharacteristic
34C2×#13094045C2211yescharacteristic
35#15689855C2211yescharacteristic
36#15689851C2211yescharacteristic, complemented
37#15689844C2211yescharacteristic
38#15689839C2211yescharacteristic
39#15689837C2211yescharacteristic
40#15689832C2211yescharacteristic, complemented
41#15689828C2211yescharacteristic
42#15689822—21no—
43#15689814C2211yescharacteristic, complemented
44#15689813—21no—
45#15689808C2211yescharacteristic, complemented
46#15689806—21no—
47#15689806—21no—
48#15689801—21no—
49#15689800—21no—
50#15689788C2211yescharacteristic
51#15689783—21no—
52#15689777C2211yescharacteristic, complemented
53#15689772C2211yescharacteristic
54#15689772C2211yescharacteristic, complemented
55#15689766C2211yescharacteristic
56#15689765—21no—
57#15689764C2211yescharacteristic
58#15689757C2211yescharacteristic
59#15689745C2211yescharacteristic
60#15689735C2211yescharacteristic, complemented
61#15689731C2211yescharacteristic, complemented
62#15689720—21no—
63#15689715—21no—
64#15689712—21no—
65#15689707—21no—
66#15689677C2211yescharacteristic, complemented
67#15689670C2211yescharacteristic
68#15689656—21no—
69#15689653—21no—
70#15689651C2211yescharacteristic
71C2×#13094014—21no—
72#124×D47—21no—
73#15689602C2211yescharacteristic, complemented
74#15689597C2211yescharacteristic
75#15689595C2211yescharacteristic
76C4×#10625354C2211yescharacteristic
77C4×#10625352C2211yescharacteristic, complemented
78#15689530C2211yescharacteristic, complemented
79#15689529C2211yescharacteristic, complemented
80#15689520C2211yescharacteristic, complemented
81#15689518C2211yescharacteristic, complemented
82#15689516C2211yescharacteristic, complemented
83#15689494C2211yescharacteristic
84#15689479C2211yescharacteristic, complemented
85#15689477C2211yescharacteristic, complemented
86#15689475C2211yescharacteristic, complemented
87#15689472C2211yescharacteristic, complemented
88#15689472C2211yescharacteristic, complemented
89#15689468C2211yescharacteristic
90#15689467C2211yescharacteristic, complemented
91#15689467C2211yescharacteristic, complemented
92#15689465C2211yescharacteristic, complemented
93#15689465C2211yescharacteristic, complemented
94#15689463C2211yescharacteristic, complemented
95#15689462C2211yescharacteristic, complemented
96#15689452C2211yescharacteristic, complemented
97#15689449C2211yescharacteristic, complemented
98#15689445C2211yescharacteristic, complemented
99#15689443C2211yescharacteristic
100#15689425C2211yescharacteristic, complemented
101#15689424C2211yescharacteristic
102#15689424C2211yescharacteristic, complemented
103#15689422C2211yescharacteristic
104#15689416C2211yescharacteristic, complemented
105#15689412C2211yescharacteristic
106#15689411C2211yescharacteristic, complemented
107#15689407C2211yescharacteristic, complemented
108#15689407C2211yescharacteristic, complemented
109#15689401C2211yescharacteristic, complemented
110#15689380C2211yescharacteristic, complemented
111#15689379C2211yescharacteristic, complemented
112#15689372C2211yescharacteristic
113#15689367C2211yescharacteristic
114#15689362C2211yescharacteristic, complemented
115#15689361C2211yescharacteristic, complemented
116#15689355C2211yescharacteristic, complemented
117#15689353C2211yescharacteristic
118#15689353C2211yescharacteristic, complemented
119#15689351C2211yescharacteristic, complemented
120#15689350C2211yescharacteristic
121#15689349C2211yescharacteristic, complemented
122#15689348C2211yescharacteristic, complemented
123#15689340C2211yescharacteristic, complemented
124#15689331C2211yescharacteristic, complemented
125#15689329C2211yescharacteristic
126#15689329C2211yescharacteristic, complemented
127#15689327C2211yescharacteristic
128#15689327C2211yescharacteristic
129#15689326C2211yescharacteristic, complemented
130#15689322C2211yescharacteristic
131#15689316C2211yescharacteristic
132#15689288C2211yescharacteristic
133#15689284C2211yescharacteristic
134#15689282C2211yescharacteristic, complemented
135#15689276C2211yescharacteristic
136#15689276C2211yescharacteristic
137#15689275C2211yescharacteristic
138#15689272C2211yescharacteristic
139#15689269C2211yescharacteristic
140#15689269C2211yescharacteristic, complemented
141#15689265C2211yescharacteristic, complemented
142#15689252C2211yescharacteristic, complemented
143#15689247C2211yescharacteristic, complemented
144#15689233C2211yescharacteristic
145#15689233C2211yescharacteristic, complemented
146#15689232C2211yescharacteristic
147#15689228C2211yescharacteristic, complemented
148#15689225C2211yescharacteristic
149#15689225C2211yescharacteristic, complemented
150#15689223C2211yescharacteristic, complemented
151#15689221C2211yescharacteristic
152#15689221C2211yescharacteristic, complemented
153#15689220C2211yescharacteristic, complemented
154C4×#10625337C2211yescharacteristic, complemented
155#15689215C2211yescharacteristic, complemented
156C4×#10625325C2211yescharacteristic
157C4×#10625325C2211yescharacteristic, complemented
158SD16×Dic47C2211yescharacteristic, complemented
159C4×#10625336C2211yescharacteristic
160C4×#10625336C2211yescharacteristic, complemented
161#15689210C2211yescharacteristic
162#15689210C2211yescharacteristic
163C4×#10625335C2211yescharacteristic, complemented
164D8×Dic47C2211yescharacteristic, complemented
165C4×#10625334C2211yescharacteristic
166C4×#10625334C2211yescharacteristic, complemented
167#15689203C2211yescharacteristic
168#15689198C2211yescharacteristic
169#15689197C2211yescharacteristic, complemented
170#15689193C2211yescharacteristic, complemented
171#15689188C2211yescharacteristic, complemented
172(C22⋊D47)⋊C8C2211yescharacteristic
173(C22⋊D47)⋊C8C2211yescharacteristic, complemented
174#15689182C2211yescharacteristic, complemented
175#15689178C2211yescharacteristic, complemented
176#15689163C2211yescharacteristic, complemented
177#15689162C2211yescharacteristic, complemented
178#15689158C2211yescharacteristic, complemented
179#15689119C2211yescharacteristic, complemented
180#15689118C2211yescharacteristic
181#15689116C2211yescharacteristic, complemented
182#15689116C2211yescharacteristic, complemented
183C2×#13093944C2211yescharacteristic
184#102×D47C2211yescharacteristic
185#15689080C2211yescharacteristic, complemented
186#15689079C2211yescharacteristic, complemented
187C4×C8×D47C2211yescharacteristic, complemented
188C47×#542C2211yescharacteristic
189C47×#520C2211yescharacteristic, complemented
190C47×#483C2211yescharacteristic, complemented
191C47×#481C2211yescharacteristic
192C47×#476C2211yescharacteristic, complemented
193C47×#475C2211yescharacteristic, complemented
194C47×#464C2211yescharacteristic, complemented
195C47×#463C2211yescharacteristic, complemented
196C47×#452C2211yescharacteristic, complemented
197C47×#449C2211yescharacteristic
198C47×#442C2211yescharacteristic, complemented
199C47×#441C2211yescharacteristic, complemented
200C4×SD16×C47C2211yescharacteristic, complemented
201C4×SD16×C47C2211yescharacteristic, complemented
202C47×#433C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625350—21no—
205C2×#10625352C2311yescharacteristic
206C2×#10625352C2311yescharacteristic
207C2×Q8×D47—21no—
208C22×D188C2311yescharacteristic
209C2×D4×D47—21no—
210C2×D4×D47C2311yescharacteristic
211#13094049—24no—
212#13094048—24no—
213#13094045—24no—
214C2×#10625337C2311yescharacteristic
215C2×#10625337C2311yescharacteristic
216C2×#10625325C2311yescharacteristic
217C2×#10625325C2311yescharacteristic
218C2×#10625325C2311yescharacteristic
219C2×#10625325C2311yescharacteristic
220C2×#10625335C2311yescharacteristic
221C2×#10625335C2311yescharacteristic
222C2×#10625336C2311yescharacteristic
223C2×#10625336C2311yescharacteristic
224C2×#10625334C2311yescharacteristic
225C2×#10625334C2311yescharacteristic
226C2×#10625329C2311yescharacteristic
227C2×#10625324C2311yescharacteristic
228C22×C47⋊C8C2311yescharacteristic
229C2×C8×D47C2311yescharacteristic
230C2×C8×D47C2311yescharacteristic
231C2×C8×D47C2311yescharacteristic
232#13094024C2311yescharacteristic
233#13094023C2311yescharacteristic
234#13094023C2311yescharacteristic
235#13094023C2311yescharacteristic
236#13094022C2311yescharacteristic
237#13094022C2311yescharacteristic
238#13094020C2311yescharacteristic
239#13094019—21no—
240#13094019—21no—
241#13094019—21no—
242#13094019D411yescharacteristic
243#13094018—21no—
244#13094018—21no—
245#13094018—21no—
246#13094017—21no—
247#13094017—21no—
248#13094017—21no—
249#13094017D411yescharacteristic
250#13094016—21no—
251#13094016—21no—
252#13094016C2311yescharacteristic
253#13094015C2311yescharacteristic
254#13094014—21no—
255#13094014—21no—
256#13094014—21no—
257#13094014—21no—
258#13094014—21no—
259#13094014—21no—
260#13094014—21no—
261#13094014—21no—
262#13094014—21no—
263#13094014D411yescharacteristic
264#13094013—21no—
265#13094013—21no—
266#13094013C2311yescharacteristic
267#13094012—21no—
268#13094011—21no—
269#13094010—21no—
270#13094010—21no—
271#13094010—21no—
272#13094010—21no—
273#13094010D411yescharacteristic
274#13094009—21no—
275#13094009—21no—
276#13094009—21no—
277#13094009D411yescharacteristic
278#13094008—21no—
279#13094008—21no—
280#13094008—21no—
281#13094007—21no—
282#13094007—21no—
283#13094007—21no—
284#13094006—21no—
285#13094006—21no—
286#13094006D411yescharacteristic
287#13094005—21no—
288#13094005—21no—
289#13094004C2311yescharacteristic
290#13094004C2311yescharacteristic
291#13094003—21no—
292#13094003—21no—
293#13094003C2311yescharacteristic
294#13094003C2311yescharacteristic
295#13094002—21no—
296#13094002—21no—
297#13094002—21no—
298#13094002—21no—
299#13094002—21no—
300#13094002D411yescharacteristic
301#13094001—21no—
302#13094001—21no—
303#13094000—21no—
304#13094000C2311yescharacteristic
305#13094000C2311yescharacteristic
306#13094000C2311yescharacteristic
307#13093999—21no—
308#13093999—21no—
309#13093999C2311yescharacteristic
310#13093999C2311yescharacteristic
311#13093998—21no—
312#13093997—21no—
313#13093997—21no—
314#13093997—21no—
315#13093997D411yescharacteristic
316#13093996—21no—
317#13093996—21no—
318#13093996—21no—
319#13093995C2311yescharacteristic
320#13093994—21no—
321#13093994—21no—
322#13093994—21no—
323#13093992—21no—
324Q8×Dic47C2311yescharacteristic
325C4×Dic94—21no—
326C4×Dic94—21no—
327C4×Dic94C2311yescharacteristic
328C4×Dic94C2311yescharacteristic
329C4×Dic94C2311yescharacteristic
330#13093989—21no—
331#13093989C2311yescharacteristic
332#13093989C2311yescharacteristic
333C4×D188—21no—
334C4×D188C2311yescharacteristic
335C4×D188C2311yescharacteristic
336C4×D188C2311yescharacteristic
337C4×D188C2311yescharacteristic
338C4×D188C2311yescharacteristic
339D4×Dic47C2311yescharacteristic
340D4×Dic47C2311yescharacteristic
341D4×Dic47C2311yescharacteristic
342#13093986—21no—
343#13093986—21no—
344#13093986—21no—
345#13093986C2311yescharacteristic
346#13093986C2311yescharacteristic
347C4×C22⋊D47—21no—
348C4×C22⋊D47—21no—
349C4×C22⋊D47—21no—
350C4×C22⋊D47—21no—
351C4×C22⋊D47—21no—
352C4×C22⋊D47C2311yescharacteristic
353C4×C22⋊D47C2311yescharacteristic
354(C22⋊D47)⋊C4—21no—
355(C22⋊D47)⋊C4—21no—
356(C22⋊D47)⋊C4—21no—
357(C22⋊D47)⋊C4—21no—
358#13093983—21no—
359#13093983C2311yescharacteristic
360#13093982—21no—
361#13093982—21no—
362#13093982C2311yescharacteristic
363#13093982C2311yescharacteristic
364#13093982C2311yescharacteristic
365#13093981—21no—
366#13093981—21no—
367#13093981C2311yescharacteristic
368#13093980—21no—
369#13093980—21no—
370#13093980—21no—
371C2×C4⋊Dic47—21no—
372C2×Dic47⋊C4—21no—
373C2×Dic47⋊C4—21no—
374C2×Dic47⋊C4—21no—
375C2×Dic47⋊C4—21no—
376C4⋊C4×D47C2311yescharacteristic
377C2×(C2×D47)⋊C4—21no—
378C22⋊C4×D47—21no—
379C22⋊C4×D47—21no—
380C22⋊C4×D47—21no—
381C22⋊C4×D47—21no—
382C22⋊C4×D47—21no—
383C2×C4×Dic47—21no—
384C42×D47—21no—
385C42×D47C2311yescharacteristic
386#13093958C2311yescharacteristic
387#13093958C2311yescharacteristic
388#13093957C2311yescharacteristic
389#13093957C2311yescharacteristic
390#13093957C2311yescharacteristic
391#13093957C2311yescharacteristic
392#13093956C2311yescharacteristic
393#13093956C2311yescharacteristic
394#13093955C2311yescharacteristic
395#13093955C2311yescharacteristic
396#13093955C2311yescharacteristic
397#13093955C2311yescharacteristic
398Dic47⋊C8C2311yescharacteristic
399Dic47⋊C8C2311yescharacteristic
400Dic47⋊C8C2311yescharacteristic
401Dic47⋊C8C2311yescharacteristic
402#13093949C2311yescharacteristic
403#13093949C2311yescharacteristic
404#13093949C2311yescharacteristic
405#13093949C2311yescharacteristic
406#13093948C2311yescharacteristic
407#13093948C2311yescharacteristic
408#13093948C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093947C2311yescharacteristic
411#13093947C2311yescharacteristic
412#13093947C2311yescharacteristic
413#13093947C2311yescharacteristic
414#13093946C2311yescharacteristic
415#13093946C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093945C2311yescharacteristic
419#13093945C2311yescharacteristic
420#13093945C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093944C2311yescharacteristic
423#13093944C2311yescharacteristic
424#13093944C2311yescharacteristic
425#13093944C2311yescharacteristic
426(C2×D47)⋊C8C2311yescharacteristic
427(C2×D47)⋊C8C2311yescharacteristic
428(C2×D47)⋊C8C2311yescharacteristic
429(C2×D47)⋊C8C2311yescharacteristic
430#13093935C2311yescharacteristic
431#13093935C2311yescharacteristic
432#13093934C2311yescharacteristic
433C4×C47⋊C8C2311yescharacteristic
434C4×C47⋊C8C2311yescharacteristic
435C8×Dic47C2311yescharacteristic
436C8×Dic47C2311yescharacteristic
437C8×Dic47C2311yescharacteristic
438C2×#41×C47C2311yescharacteristic
439C2×Q16×C47C2311yescharacteristic
440C2×SD16×C47C2311yescharacteristic
441C2×SD16×C47C2311yescharacteristic
442C2×D8×C47C2311yescharacteristic
443C4⋊Q8×C47C2311yescharacteristic
444#126×C47—21no—
445#124×C47—21no—
446#124×C47C2311yescharacteristic
447#123×C47—21no—
448C22⋊Q8×C47—21no—
449C22⋊Q8×C47C2311yescharacteristic
450#121×C47C2311yescharacteristic
451C4×Q8×C47C2311yescharacteristic
452C4×Q8×C47C2311yescharacteristic
453C4×Q8×C47C2311yescharacteristic
454C4×D4×C47—21no—
455C4×D4×C47—21no—
456C4×D4×C47C2311yescharacteristic
457C4×D4×C47C2311yescharacteristic
458C4×D4×C47C2311yescharacteristic
459#117×C47—21no—
460#117×C47C2311yescharacteristic
461C2×C4⋊C4×C47—21no—
462C2×C4⋊C4×C47C2311yescharacteristic
463#106×C47C2311yescharacteristic
464#106×C47C2311yescharacteristic
465#106×C47C2311yescharacteristic
466#106×C47C2311yescharacteristic
467C4⋊C8×C47C2311yescharacteristic
468C4⋊C8×C47C2311yescharacteristic
469#103×C47C2311yescharacteristic
470#103×C47C2311yescharacteristic
471#103×C47C2311yescharacteristic
472#103×C47C2311yescharacteristic
473#102×C47C2311yescharacteristic
474#102×C47C2311yescharacteristic
475#102×C47C2311yescharacteristic
476#102×C47C2311yescharacteristic
477C22⋊C8×C47C2311yescharacteristic
478C22⋊C8×C47C2311yescharacteristic
479#97×C47C2311yescharacteristic
480C4×C8×C47C2311yescharacteristic
481C23×D47—21no—
482C23×D47—21no—
483#41×C47—22no—
484#41×C47—41no—
485C2×Q8×C47—21no—
486C2×Q8×C47C2411yescharacteristic
487C2×Q8×C47C2411yescharacteristic
488C2×D4×C47—21no—
489C2×D4×C47—21no—
490C2×D4×C47C2411yescharacteristic
491C2×D4×C47C2411yescharacteristic
492C22×C4×C47—21no—
493C22×C4×C47—21no—
494C22×C4×C47—21no—
495C22×C4×C47—21no—
496C22×C4×C47—21no—
497C22×C4×C47C2411yescharacteristic
498C2×C22⋊D47—21no—
499C2×C22⋊D47—21no—
500C2×C22⋊D47—21no—
501C2×C22⋊D47—21no—
502C2×C22⋊D47—21no—
503C2×C22⋊D47—21no—
504C2×C22⋊D47C2×D411yescharacteristic
505C2×C22⋊D47C2×D411yescharacteristic
506C22×Dic47—21no—
507C22×Dic47—21no—
508C22×Dic47—21no—
509C22×Dic47—21no—
510C22×Dic47—21no—
511#10625354—22no—
512#10625354—41no—
513Q8×D47—82no—
514#10625352—22no—
515#10625352—22no—
516#10625352—41no—
517#10625352—41no—
518D4×D47—22no—
519D4×D47—41no—
520D4×D47—82no—
521#10625350—82no—
522C2×D188—22no—
523C2×D188—21no—
524C2×D188—21no—
525C2×D188—21no—
526C2×D188—21no—
527C2×D188—41no—
528C2×D188C2×D411yescharacteristic
529C2×D188C2411yescharacteristic
530C2×D188C2411yescharacteristic
531C2×C4×D47—21no—
532C2×C4×D47—21no—
533C2×C4×D47—21no—
534C2×C4×D47—21no—
535C2×C4×D47—21no—
536C2×C4×D47—21no—
537C2×C4×D47—21no—
538C2×C4×D47—21no—
539C2×C4×D47C2×D411yescharacteristic
540C2×C4×D47C2×D411yescharacteristic
541C2×C4×D47C2411yescharacteristic
542C2×C4×D47C2411yescharacteristic
543C2×Dic94—21no—
544C2×Dic94—21no—
545C2×Dic94—21no—
546C2×Dic94C2×D411yescharacteristic
547C2×Dic94C2411yescharacteristic
548C2×Dic94C2411yescharacteristic
549Q16×C47—41no—
550SD16×C47—22no—
551SD16×C47—41no—
552D8×C47—22no—
553C2×C8×C47C2411yescharacteristic
554C2×C8×C47C2411yescharacteristic
555C2×C8×C47C2411yescharacteristic
556C2×C8×C47C2411yescharacteristic
557C4⋊C4×C47—21no—
558C4⋊C4×C47—21no—
559C4⋊C4×C47—21no—
560C4⋊C4×C47—21no—
561C4⋊C4×C47—21no—
562C4⋊C4×C47—21no—
563C4⋊C4×C47C2×D411yescharacteristic
564C4⋊C4×C47C2×D411yescharacteristic
565C4⋊C4×C47C2411yescharacteristic
566C4⋊C4×C47C2411yescharacteristic
567C4⋊C4×C47C2411yescharacteristic
568C4⋊C4×C47C2411yescharacteristic
569C22⋊C4×C47—21no—
570C22⋊C4×C47—21no—
571C22⋊C4×C47—21no—
572C22⋊C4×C47—21no—
573C22⋊C4×C47—21no—
574C22⋊C4×C47—21no—
575C22⋊C4×C47—21no—
576C22⋊C4×C47C2×D411yescharacteristic
577C22⋊C4×C47C2×D411yescharacteristic
578C42×C47—21no—
579C42×C47—21no—
580C42×C47—21no—
581C42×C47C2411yescharacteristic
582C42×C47C2411yescharacteristic
583C22⋊Dic47—21no—
584C22⋊Dic47—21no—
585C22⋊Dic47—21no—
586C22⋊Dic47—21no—
587C22⋊Dic47—21no—
588C22⋊Dic47—21no—
589C22⋊Dic47—21no—
590C22⋊Dic47C2×D411yescharacteristic
591C22⋊Dic47C2×D411yescharacteristic
592#10625337—22no—
593#10625337—41no—
594#10625336—22no—
595#10625336—22no—
596#10625335—22no—
597#10625335—41no—
598#10625334—22no—
599#10625334#4114yescomplemented
600(C2×D47)⋊C4—21no—
601(C2×D47)⋊C4—21no—
602(C2×D47)⋊C4—21no—
603(C2×D47)⋊C4—21no—
604(C2×D47)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
619(C2×D47)⋊C4C2×D411yescharacteristic
620(C2×D47)⋊C4C2×D411yescharacteristic
621(C2×D47)⋊C4C2×D411yescharacteristic
622(C2×D47)⋊C4C2×D411yescharacteristic
623(C2×D47)⋊C4C2×D411yescharacteristic
624C4⋊Dic47—21no—
625C4⋊Dic47—21no—
626C4⋊Dic47—21no—
627C4⋊Dic47—21no—
628C4⋊Dic47—21no—
629C4⋊Dic47—21no—
630C4⋊Dic47C2×D411yescharacteristic
631C4⋊Dic47C2×D411yescharacteristic
632C4⋊Dic47C2411yescharacteristic
633C4⋊Dic47C2411yescharacteristic
634C4⋊Dic47C2411yescharacteristic
635C4⋊Dic47C2411yescharacteristic
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⋊C4—21no—
655Dic47⋊C4—21no—
656Dic47⋊C4C2×D411yescharacteristic
657Dic47⋊C4C2×D411yescharacteristic
658Dic47⋊C4C2×D411yescharacteristic
659Dic47⋊C4C2×D411yescharacteristic
660Dic47⋊C4C2×D411yescharacteristic
661Dic47⋊C4C2×D411yescharacteristic
662C4×Dic47—21no—
663C4×Dic47—21no—
664C4×Dic47—21no—
665C4×Dic47—21no—
666C4×Dic47—21no—
667C4×Dic47—21no—
668C4×Dic47—21no—
669C4×Dic47—21no—
670C4×Dic47—21no—
671C4×Dic47C2×D411yescharacteristic
672C4×Dic47C2×D411yescharacteristic
673C4×Dic47C2411yescharacteristic
674C4×Dic47C2411yescharacteristic
675#10625329—22no—
676C2×C47⋊C8—41no—
677C2×C47⋊C8C2411yescharacteristic
678C2×C47⋊C8C2411yescharacteristic
679C2×C47⋊C8C2411yescharacteristic
680C2×C47⋊C8C2411yescharacteristic
681#10625325—22no—
682#10625325—22no—
683#10625325—41no—
684#10625325—41no—
685#10625324—22no—
686C8×D47—22no—
687C8×D47—41no—
688C8×D47—41no—
689C23×C47—21no—
690C23×C47—21no—
691C23×C47C22×D411yescharacteristic
692C22×D47—21no—
693C22×D47—21no—
694C22×D47—42no—
695C22×D47—42no—
696C22×D47—81no—
697C22×D47—81no—
698C22×D47—81no—
699C22×D47—81no—
700C22×D47C22×D411yescharacteristic
701C22×D47C22×D411yescharacteristic
702Q8×C47—21no—
703Q8×C47—21no—
704Q8×C47—21no—
705Q8×C47—21no—
706Q8×C47—81no—
707D4×C47—21no—
708D4×C47—21no—
709D4×C47—21no—
710D4×C47—42no—
711D4×C47—81no—
712D4×C47C2×#4112yes—
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—81no—
723C2×C4×C47—81no—
724C2×C4×C47—81no—
725C2×C4×C47—81no—
726C2×C4×C47C22×D411yescharacteristic
727C2×C4×C47C22×D411yescharacteristic
728C2×C4×C47C22×D411yescharacteristic
729C2×C4×C47C22×D411yescharacteristic
730C2×C4×C47C22×D411yescharacteristic
731C2×C4×C47C2511yescharacteristic
732C22⋊D47—22no—
733C22⋊D47—41no—
734C22⋊D47—42no—
735C22⋊D47—42no—
736C22⋊D47—42no—
737C22⋊D47—42no—
738C22⋊D47—81no—
739C22⋊D47—81no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—42no—
747C2×Dic47—42no—
748C2×Dic47—42no—
749C2×Dic47—81no—
750C2×Dic47—81no—
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—41no—
761D188—42no—
762D188—42no—
763D188—81no—
764D188—81no—
765D188C2×#4112yes—
766C4×D47—21no—
767C4×D47—21no—
768C4×D47—21no—
769C4×D47—21no—
770C4×D47—22no—
771C4×D47—41no—
772C4×D47—42no—
773C4×D47—42no—
774C4×D47—81no—
775C4×D47—81no—
776C4×D47—81no—
777C4×D47—81no—
778C4×D47—81no—
779C4×D47—81no—
780Dic94—22no—
781Dic94—21no—
782Dic94—21no—
783Dic94—21no—
784Dic94—21no—
785Dic94—42no—
786Dic94—81no—
787Dic94—81no—
788C8×C47—21no—
789C8×C47—21no—
790C8×C47—21no—
791C8×C47—21no—
792C47⋊C8—21no—
793C47⋊C8—21no—
794C47⋊C8—21no—
795C47⋊C8C2×#4112yes—
796#61493—471nomaximal, Sylow
797C22×C47—21no—
798C22×C47—22no—
799C22×C47—21no—
800C22×C47—21no—
801C22×C47—41no—
802C22×C47—41no—
803C22×C47—41no—
804C22×C47—41no—
805C22×C47—41no—
806C22×C47C23×D411yescharacteristic
807C2×D47—21no—
808C2×D47—21no—
809C2×D47—21no—
810C2×D47—21no—
811C2×D47—22no—
812C2×D47—21no—
813C2×D47—21no—
814C2×D47—41no—
815C2×D47—41no—
816C2×D47—41no—
817C2×D47—41no—
818C2×D47—41no—
819C2×D47—162no—
820C2×D47—162no—
821C4×C47—21no—
822C4×C47—21no—
823C4×C47—21no—
824C4×C47—21no—
825C4×C47—21no—
826C4×C47—41no—
827C4×C47—41no—
828C4×C47—41no—
829C4×C47—41no—
830C4×C47—41no—
831C4×C47—41no—
832C4×C47C22×#4111yescharacteristic
833C4×C47#58511yescharacteristic
834Dic47—21no—
835Dic47—21no—
836Dic47—21no—
837Dic47—21no—
838Dic47—21no—
839Dic47—41no—
840Dic47—41no—
841Dic47—41no—
842Dic47—41no—
843Dic47—41no—
844Dic47—41no—
845Dic47#57712yes—
846#3515—471no—
847#3514—471no—
848#3400—471no—
849#3384—471no—
850#3361—471no—
851#3359—471no—
852#3356—471no—
853#3348—471no—
854#3348—471no—
855#3303—471no—
856#3303—471no—
857#3302—471no—
858#3296—471no—
859#3296—471no—
860#3295—471no—
861#3272—471no—
862#3267—471no—
863#3267—471no—
864#3178—471no—
865#3178—471no—
866#3167—471no—
867#3125—471no—
868#3125D4711yescharacteristic, complemented
869#3123—471no—
870#3123—471no—
871#3116—471no—
872#3115—471no—
873#2966—471no—
874#2946—471no—
875#2946—471no—
876C4×#135—471no—
877C2×C47—41no—
878C2×C47—42no—
879C2×C47—81no—
880C2×C47D4×#4111yescharacteristic
881C2×C47C2×#57711yescharacteristic
882C2×C47#358411yescharacteristic
883D47—41no—
884D47—41no—
885D47—42no—
886D47—81no—
887C2×AGL(1,ℤ/8)—471no—
888C2×AGL(1,ℤ/8)—471no—
889C2×#135—471no—
890#559—471no—
891#557—471no—
892#556—471no—
893#555—471no—
894#555—471no—
895#554—471no—
896#554—471no—
897#553—941no—
898#552—471no—
899#552—471no—
900#552—941no—
901#552—941no—
902#552—941no—
903#551—941no—
904#551—941no—
905D4×Q8—471no—
906#548—941no—
907#547—471no—
908#547—471no—
909#547—471no—
910#546—471no—
911#546—471no—
912#546—941no—
913D42—471no—
914#542—471no—
915#542C2×D4711yescharacteristic
916#541—471no—
917#541—471no—
918#539—941no—
919#539—941no—
920#538—941no—
921#538—941no—
922#533—471no—
923#532—471no—
924#529—471no—
925#529—941no—
926#529—941no—
927C2×#125—941no—
928C2×#124—941no—
929#520—471no—
930#520C2×D4711yescharacteristic, complemented
931#518—471no—
932#518—471no—
933C4×#41—471no—
934C4×#41—471no—
935#501—471no—
936#501—471no—
937#498—471no—
938#497—471no—
939#497—471no—
940#492—471no—
941#488—471no—
942#488—471no—
943#487—471no—
944#487—471no—
945#487—471no—
946#486—471no—
947#485—471no—
948#485—471no—
949#485—471no—
950#485—471no—
951#485—471no—
952#485—471no—
953#483—471no—
954#483C2×D4711yescharacteristic, complemented
955#482—471no—
956#482—471no—
957#481—471no—
958#481C2×D4711yescharacteristic
959#478—471no—
960#478—471no—
961#478—471no—
962#478—471no—
963#477—471no—
964#476—471no—
965#476—471no—
966#476C2×D4711yescharacteristic, complemented
967#475—471no—
968#475—471no—
969#475C2×D4711yescharacteristic, complemented
970#474—471no—
971#470—471no—
972#470—471no—
973#468—471no—
974#468—471no—
975#467—471no—
976#467—471no—
977#465—471no—
978#465—471no—
979#465—471no—
980#465—471no—
981#465—471no—
982#465—471no—
983#464—471no—
984#464C2×D4711yescharacteristic, complemented
985#463—471no—
986#463C2×D4711yescharacteristic, complemented
987#462—471no—
988#461—471no—
989#461—471no—
990#461—471no—
991#461—471no—
992#461—471no—
993#460—471no—
994#459—471no—
995#452—471no—
996#452—471no—
997#452—471no—
998#452C2×D4711yescharacteristic, complemented
999#450—471no—
1000#450—471no—
1001#450—471no—
1002#450—471no—
1003#449—471no—
1004#449—471no—
1005#449—471no—
1006#449C2×D4711yescharacteristic
1007#446—471no—
1008C8×Q8—471no—
1009#442—471no—
1010#442—471no—
1011#442—471no—
1012#442C2×D4711yescharacteristic, complemented
1013#441—471no—
1014#441C2×D4711yescharacteristic, complemented
1015#440—471no—
1016#440—471no—
1017#440—471no—
1018#440—471no—
1019#440—471no—
1020#440—471no—
1021C4×Q16—471no—
1022C4×Q16—471no—
1023C4×SD16—471no—
1024C4×SD16—471no—
1025C4×SD16—471no—
1026C4×SD16—471no—
1027C4×SD16—471no—
1028C4×SD16—471no—
1029C4×SD16—471no—
1030C4×SD16—471no—
1031C4×SD16C2×D4711yescharacteristic, complemented
1032C4×SD16C2×D4711yescharacteristic, complemented
1033C4×D8—471no—
1034C4×D8—471no—
1035C4×D8—471no—
1036C4×D8—471no—
1037#436—471no—
1038#435—471no—
1039#435—471no—
1040C8×D4—471no—
1041C8×D4—471no—
1042C8×D4—471no—
1043#433—471no—
1044#433C2×D4711yescharacteristic, complemented
1045#432—471no—
1046#428—471no—
1047#428—471no—
1048#427—471no—
1049#416—471no—
1050#416—471no—
1051#416—471no—
1052#416—471no—
1053C2×#102—471no—
1054C2×#102—471no—
1055#405—471no—
1056#405—471no—
1057C2×C4×C8—471no—
1058C47#6149311yescharacteristic, complemented, Sylow
1059C2×#41—471no—
1060C2×#41—471no—
1061C2×#41—471no—
1062C2×#41—941no—
1063C2×#41C22×D4711yescharacteristic
1064C22×Q8—941no—
1065C22×D4—471no—
1066C22×D4—471no—
1067C22×D4—941no—
1068AGL(1,ℤ/8)—944no—
1069AGL(1,ℤ/8)—944no—
1070#135—944no—
1071C2×Q16—471no—
1072C2×Q16—471no—
1073C2×Q16C22×D4711yescharacteristic
1074C2×SD16—471no—
1075C2×SD16—471no—
1076C2×SD16—471no—
1077C2×SD16—471no—
1078C2×SD16—471no—
1079C2×SD16—471no—
1080C2×SD16—471no—
1081C2×SD16—471no—
1082C2×SD16C22×D4711yescharacteristic
1083C2×SD16C22×D4711yescharacteristic
1084C2×D8—471no—
1085C2×D8—471no—
1086C2×D8C22×D4711yescharacteristic
1087C2×M16—471no—
1088C2×M16—471no—
1089C22×C8—471no—
1090C22×C8—471no—
1091C22×C8—471no—
1092C22×C8—471no—
1093C4⋊Q8—471no—
1094C4⋊Q8—471no—
1095C4⋊Q8—471no—
1096C4⋊Q8—471no—
1097C4⋊Q8—471no—
1098C4⋊Q8—471no—
1099C4⋊Q8C22×D4711yescharacteristic
1100#127—471no—
1101#126—21no—
1102#126—471no—
1103#126—471no—
1104#126—941no—
1105#126—941no—
1106#126—941no—
1107#126—941no—
1108#126—941no—
1109#126—941no—
1110#126—941no—
1111#126—941no—
1112#126—941no—
1113#125—471no—
1114#125—471no—
1115#125—471no—
1116#125—941no—
1117#125—941no—
1118#125—941no—
1119#125—941no—
1120#125—941no—
1121#125—941no—
1122#125—941no—
1123#125—941no—
1124#125—941no—
1125#125—941no—
1126#125—941no—
1127#124—21no—
1128#124—471no—
1129#124—471no—
1130#124—941no—
1131#124—941no—
1132#124—941no—
1133#124—941no—
1134#124—941no—
1135#124—941no—
1136#124—941no—
1137#124—941no—
1138#124C22×D4711yescharacteristic
1139#123—21no—
1140#123—471no—
1141#123—471no—
1142#123—941no—
1143#123—941no—
1144#123—941no—
1145#123—941no—
1146#123—941no—
1147#123—941no—
1148#123—941no—
1149#123—941no—
1150#123—941no—
1151#123—941no—
1152#123—941no—
1153#123—941no—
1154#123—941no—
1155C22⋊Q8—21no—
1156C22⋊Q8—471no—
1157C22⋊Q8—471no—
1158C22⋊Q8—471no—
1159C22⋊Q8—471no—
1160C22⋊Q8—471no—
1161C22⋊Q8—471no—
1162C22⋊Q8—471no—
1163C22⋊Q8—471no—
1164C22⋊Q8—941no—
1165C22⋊Q8—941no—
1166C22⋊Q8—941no—
1167C22⋊Q8—941no—
1168C22⋊Q8—941no—
1169C22⋊Q8—941no—
1170C22⋊Q8—941no—
1171C22⋊Q8—941no—
1172C22⋊Q8—941no—
1173C22⋊Q8—941no—
1174C22⋊Q8C22×D4711yescharacteristic
1175#121—471no—
1176#121—471no—
1177#121—471no—
1178#121—471no—
1179#121—941no—
1180#121—941no—
1181#121—941no—
1182#121—941no—
1183#121—941no—
1184#121—941no—
1185#121—941no—
1186#121—941no—
1187#121—941no—
1188#121C22×D4711yescharacteristic
1189#120—941no—
1190#120—941no—
1191#120—941no—
1192#120—941no—
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×Q8C22×D4711yescharacteristic
1203C4×Q8C22×D4711yescharacteristic
1204C4×Q8C22×D4711yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—471no—
1208C4×D4—471no—
1209C4×D4—471no—
1210C4×D4—471no—
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—941no—
1220C4×D4—941no—
1221C4×D4—941no—
1222C4×D4—941no—
1223C4×D4—941no—
1224C4×D4—941no—
1225C4×D4—941no—
1226C4×D4—941no—
1227C4×D4—941no—
1228C4×D4—941no—
1229C4×D4—941no—
1230C4×D4—941no—
1231C4×D4—941no—
1232C4×D4C22×D4711yescharacteristic
1233C4×D4C22×D4711yescharacteristic
1234C4×D4C22×D4711yescharacteristic
1235#117—21no—
1236#117—471no—
1237#117—471no—
1238#117—471no—
1239#117—471no—
1240#117—471no—
1241#117—941no—
1242#117—941no—
1243#117—941no—
1244#117—941no—
1245#117—941no—
1246#117—941no—
1247#117—941no—
1248#117—941no—
1249#117C22×D4711yescharacteristic
1250C2×C4⋊C4—21no—
1251C2×C4⋊C4—471no—
1252C2×C4⋊C4—941no—
1253C2×C4⋊C4—941no—
1254C2×C4⋊C4—941no—
1255C2×C4⋊C4—941no—
1256C2×C4⋊C4—941no—
1257C2×C4⋊C4C22×D4711yescharacteristic
1258C2×C22⋊C4—941no—
1259C2×C22⋊C4—941no—
1260C2×C22⋊C4—941no—
1261C2×C22⋊C4—941no—
1262C2×C22⋊C4—941no—
1263C2×C22⋊C4—941no—
1264C2×C42—471no—
1265C2×C42—941no—
1266C2×C42—941no—
1267#107—471no—
1268#107—471no—
1269#107—471no—
1270#107—471no—
1271#107—471no—
1272#107—471no—
1273#106—471no—
1274#106—471no—
1275#106—471no—
1276#106—471no—
1277#106—471no—
1278#106—471no—
1279#106C22×D4711yescharacteristic
1280#106C22×D4711yescharacteristic
1281#106C22×D4711yescharacteristic
1282#106C22×D4711yescharacteristic
1283C4⋊C8—471no—
1284C4⋊C8—471no—
1285C4⋊C8—471no—
1286C4⋊C8—471no—
1287C4⋊C8C22×D4711yescharacteristic
1288C4⋊C8C22×D4711yescharacteristic
1289#103—471no—
1290#103—471no—
1291#103—471no—
1292#103—471no—
1293#103—471no—
1294#103—471no—
1295#103—471no—
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#103C22×D4711yescharacteristic
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#102C22×D4711yescharacteristic
1318#102C22×D4711yescharacteristic
1319#102C22×D4711yescharacteristic
1320#102C22×D4711yescharacteristic
1321C22⋊C8—471no—
1322C22⋊C8—471no—
1323C22⋊C8—471no—
1324C22⋊C8—471no—
1325C22⋊C8C22×D4711yescharacteristic
1326C22⋊C8C22×D4711yescharacteristic
1327#97—471no—
1328#97—471no—
1329#97—471no—
1330#97C22×D4711yescharacteristic
1331C4×C8—471no—
1332C4×C8—471no—
1333C4×C8—471no—
1334C4×C8—471no—
1335C4×C8—471no—
1336C4×C8C22×D4711yescharacteristic
1337C24—941no—
1338C24—941no—
1339#41—22no—
1340#41—41no—
1341#41—942no—
1342#41—942no—
1343#41—942no—
1344#41—3762no—
1345#41—1881no—
1346#41—1881no—
1347#41—1881no—
1348C2×Q8—21no—
1349C2×Q8—471no—
1350C2×Q8—471no—
1351C2×Q8—471no—
1352C2×Q8—941no—
1353C2×Q8—941no—
1354C2×Q8—941no—
1355C2×Q8—3762no—
1356C2×Q8C23×D4711yescharacteristic
1357C2×Q8C23×D4711yescharacteristic
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—471no—
1361C2×D4—471no—
1362C2×D4—471no—
1363C2×D4—471no—
1364C2×D4—471no—
1365C2×D4—942no—
1366C2×D4—941no—
1367C2×D4—941no—
1368C2×D4—941no—
1369C2×D4—941no—
1370C2×D4—941no—
1371C2×D4—941no—
1372C2×D4—942no—
1373C2×D4—941no—
1374C2×D4—941no—
1375C2×D4—941no—
1376C2×D4—941no—
1377C2×D4—3762no—
1378C2×D4—1881no—
1379C2×D4—1881no—
1380C2×D4C23×D4711yescharacteristic
1381C2×D4C23×D4711yescharacteristic
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—471no—
1388C22×C4—471no—
1389C22×C4—471no—
1390C22×C4—471no—
1391C22×C4—941no—
1392C22×C4—941no—
1393C22×C4—941no—
1394C22×C4—941no—
1395C22×C4—941no—
1396C22×C4—941no—
1397C22×C4—941no—
1398C22×C4—941no—
1399C22×C4—941no—
1400C22×C4—941no—
1401C22×C4—941no—
1402C22×C4—941no—
1403C22×C4—941no—
1404C22×C4C23×D4711yescharacteristic
1405Q16—41no—
1406Q16—942no—
1407Q16—1881no—
1408SD16—22no—
1409SD16—41no—
1410SD16—942no—
1411SD16—942no—
1412SD16—942no—
1413SD16—942no—
1414SD16—942no—
1415SD16—1881no—
1416SD16—1881no—
1417SD16—1881no—
1418D8—22no—
1419D8—474no—
1420D8—942no—
1421M16—942no—
1422M16—942no—
1423C2×C8—471no—
1424C2×C8—471no—
1425C2×C8—471no—
1426C2×C8—471no—
1427C2×C8—942no—
1428C2×C8—1881no—
1429C2×C8—1881no—
1430C2×C8—1881no—
1431C2×C8C23×D4711yescharacteristic
1432C2×C8C23×D4711yescharacteristic
1433C2×C8C23×D4711yescharacteristic
1434C2×C8C23×D4711yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—471no—
1442C4⋊C4—471no—
1443C4⋊C4—471no—
1444C4⋊C4—471no—
1445C4⋊C4—471no—
1446C4⋊C4—471no—
1447C4⋊C4—471no—
1448C4⋊C4—471no—
1449C4⋊C4—471no—
1450C4⋊C4—471no—
1451C4⋊C4—471no—
1452C4⋊C4—471no—
1453C4⋊C4—941no—
1454C4⋊C4—941no—
1455C4⋊C4—941no—
1456C4⋊C4—941no—
1457C4⋊C4—941no—
1458C4⋊C4—941no—
1459C4⋊C4—941no—
1460C4⋊C4—941no—
1461C4⋊C4—941no—
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⋊C4D4×D4711yescharacteristic
1480C4⋊C4D4×D4711yescharacteristic
1481C4⋊C4C23×D4711yescharacteristic
1482C4⋊C4C23×D4711yescharacteristic
1483C4⋊C4C23×D4711yescharacteristic
1484C4⋊C4C23×D4711yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—471no—
1493C22⋊C4—471no—
1494C22⋊C4—471no—
1495C22⋊C4—471no—
1496C22⋊C4—471no—
1497C22⋊C4—471no—
1498C22⋊C4—471no—
1499C22⋊C4—471no—
1500C22⋊C4—941no—
1501C22⋊C4—941no—
1502C22⋊C4—941no—
1503C22⋊C4—941no—
1504C22⋊C4—941no—
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—21no—
1530C42—471no—
1531C42—471no—
1532C42—471no—
1533C42—471no—
1534C42—941no—
1535C42—941no—
1536C42—941no—
1537C42—941no—
1538C42—941no—
1539C42—941no—
1540C42—941no—
1541C42—941no—
1542C42—941no—
1543C42C23×D4711yescharacteristic
1544C42C23×D4711yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—471no—
1548C23—471no—
1549C23—941no—
1550C23—941no—
1551C23—3761no—
1552C23—3761no—
1553C23—3761no—
1554C23—3761no—
1555C23—1882no—
1556C23—1882no—
1557C23C2×D4×D4711yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—81no—
1563Q8—942no—
1564Q8—941no—
1565Q8—941no—
1566Q8—941no—
1567Q8—941no—
1568Q8—3761no—
1569Q8—3761no—
1570Q8—1882no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—42no—
1575D4—81no—
1576D4—472no—
1577D4—942no—
1578D4—941no—
1579D4—941no—
1580D4—941no—
1581D4—3761no—
1582D4—3761no—
1583D4—3761no—
1584D4—3761no—
1585D4—1881no—
1586D4—1882no—
1587D4—1882no—
1588D4—1882no—
1589D4—1881no—
1590D4—1882no—
1591D4—1882no—
1592D4—1882no—
1593D4#41×D4712yes—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—42no—
1603C2×C4—81no—
1604C2×C4—81no—
1605C2×C4—81no—
1606C2×C4—81no—
1607C2×C4—471no—
1608C2×C4—471no—
1609C2×C4—471no—
1610C2×C4—471no—
1611C2×C4—471no—
1612C2×C4—471no—
1613C2×C4—942no—
1614C2×C4—941no—
1615C2×C4—941no—
1616C2×C4—941no—
1617C2×C4—941no—
1618C2×C4—941no—
1619C2×C4—941no—
1620C2×C4—941no—
1621C2×C4—941no—
1622C2×C4—941no—
1623C2×C4—941no—
1624C2×C4—3761no—
1625C2×C4—3761no—
1626C2×C4—3761no—
1627C2×C4—3761no—
1628C2×C4—3761no—
1629C2×C4—3761no—
1630C2×C4—3761no—
1631C2×C4—3761no—
1632C2×C4—1881no—
1633C2×C4—1882no—
1634C2×C4—1882no—
1635C2×C4—1882no—
1636C2×C4—1882no—
1637C2×C4—1882no—
1638C2×C4C2×D4×D4711yescharacteristic
1639C2×C4C2×D4×D4711yescharacteristic
1640C2×C4C2×D4×D4711yescharacteristic
1641C2×C4C2×D4×D4711yescharacteristic
1642C2×C4C2×D4×D4711yescharacteristic
1643C2×C4C24×D4711yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—472no—
1649C8—941no—
1650C8—941no—
1651C8—941no—
1652C22—21no—
1653C22—21no—
1654C22—22no—
1655C22—21no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—941no—
1662C22—941no—
1663C22—941no—
1664C22—941no—
1665C22—942no—
1666C22—941no—
1667C22—941no—
1668C22—1881no—
1669C22—1881no—
1670C22—1881no—
1671C22—1881no—
1672C22—1881no—
1673C22—7522no—
1674C22—7522no—
1675C22C22×D4×D4711yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—472no—
1688C4—941no—
1689C4—941no—
1690C4—941no—
1691C4—941no—
1692C4—941no—
1693C4—1881no—
1694C4—1881no—
1695C4—1881no—
1696C4—1881no—
1697C4—1881no—
1698C4—1881no—
1699C4C2×#41×D4711yescharacteristic
1700C4#1568995911yescharacteristic
1701C2—41no—
1702C2—42no—
1703C2—81no—
1704C2—3761no—
1705C2—1881no—
1706C2—1881no—
1707C2—1882no—
1708C2#2025687111yescharacteristic
1709C2#577×D4711yescharacteristic
1710C2#2025816011yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3125C2
socleC22×C47C23×D4
hypercenter#3125D47
hypocenterC47#61493
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #117 ◁ #3125

Complements

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

NH ≅ G/Ntype
1. #20257356C2semidirect
2. #20257347C2semidirect
3. #20256444C2semidirect
4. #20256282C2semidirect
5. #20256043C2semidirect
6. #20256029C2semidirect
7. #20255996C2semidirect
8. #20255910C2semidirect
9. #20255906C2semidirect
10. #20255313C2semidirect
11. #20255309C2semidirect
12. #20255298C2semidirect
13. #20255230C2semidirect
14. #20255221C2semidirect
15. #20255210C2semidirect
16. #20254981C2semidirect
17. #20254916C2semidirect
18. #20254908C2semidirect
19. #20254062C2semidirect
20. #20254050C2semidirect
21. #20253944C2semidirect
22. #20253661C2semidirect
23. #20253641C2semidirect
24. #20253637C2semidirect
25. #20253548C2semidirect
26. #20253535C2semidirect
27. #20252361C2semidirect
28. #20252217C2semidirect
29. #20252216C2semidirect
30. C4×#13094045C2semidirect
31. C47×#3125C2semidirect
36. #15689851C22semidirect
40. #15689832C22semidirect
43. #15689814C22semidirect
45. #15689808C22semidirect
52. #15689777C22semidirect
54. #15689772C22semidirect
60. #15689735C22semidirect
61. #15689731C22semidirect
66. #15689677C22semidirect
73. #15689602C22semidirect
77. C4×#10625352C22semidirect
78. #15689530C22semidirect
79. #15689529C22semidirect
80. #15689520C22semidirect
81. #15689518C22semidirect
82. #15689516C22semidirect
84. #15689479C22semidirect
85. #15689477C22semidirect
86. #15689475C22semidirect
87. #15689472C22semidirect
88. #15689472C22semidirect
90. #15689467C22semidirect
91. #15689467C22semidirect
92. #15689465C22semidirect
93. #15689465C22semidirect
94. #15689463C22semidirect
95. #15689462C22semidirect
96. #15689452C22semidirect
97. #15689449C22semidirect
98. #15689445C22semidirect
100. #15689425C22semidirect
102. #15689424C22semidirect
104. #15689416C22semidirect
106. #15689411C22semidirect
107. #15689407C22semidirect
108. #15689407C22semidirect
109. #15689401C22semidirect
110. #15689380C22semidirect
111. #15689379C22semidirect
114. #15689362C22semidirect
115. #15689361C22semidirect
116. #15689355C22semidirect
118. #15689353C22semidirect
119. #15689351C22semidirect
121. #15689349C22semidirect
122. #15689348C22semidirect
123. #15689340C22semidirect
124. #15689331C22semidirect
126. #15689329C22semidirect
129. #15689326C22semidirect
134. #15689282C22semidirect
140. #15689269C22semidirect
141. #15689265C22semidirect
142. #15689252C22semidirect
143. #15689247C22semidirect
145. #15689233C22semidirect
147. #15689228C22semidirect
149. #15689225C22semidirect
150. #15689223C22semidirect
152. #15689221C22semidirect
153. #15689220C22semidirect
154. C4×#10625337C22semidirect
155. #15689215C22semidirect
157. C4×#10625325C22semidirect
158. SD16×Dic47C22semidirect
160. C4×#10625336C22semidirect
163. C4×#10625335C22semidirect
164. D8×Dic47C22semidirect
166. C4×#10625334C22semidirect
169. #15689197C22semidirect
170. #15689193C22semidirect
171. #15689188C22semidirect
173. (C22⋊D47)⋊C8C22semidirect
174. #15689182C22semidirect
175. #15689178C22semidirect
176. #15689163C22semidirect
177. #15689162C22semidirect
178. #15689158C22semidirect
179. #15689119C22semidirect
181. #15689116C22semidirect
182. #15689116C22semidirect
185. #15689080C22semidirect
186. #15689079C22semidirect
187. C4×C8×D47C22semidirect
189. C47×#520C22semidirect
190. C47×#483C22semidirect
192. C47×#476C22semidirect
193. C47×#475C22semidirect
194. C47×#464C22semidirect
195. C47×#463C22semidirect
196. C47×#452C22semidirect
198. C47×#442C22semidirect
199. C47×#441C22semidirect
200. C4×SD16×C47C22semidirect
201. C4×SD16×C47C22semidirect
202. C47×#433C22semidirect
599. #10625334#41semidirect
868. #3125D47semidirect
930. #520C2×D47semidirect
954. #483C2×D47semidirect
966. #476C2×D47semidirect
969. #475C2×D47semidirect
984. #464C2×D47semidirect
986. #463C2×D47semidirect
998. #452C2×D47semidirect
1012. #442C2×D47semidirect
1014. #441C2×D47semidirect
1031. C4×SD16C2×D47semidirect
1032. C4×SD16C2×D47semidirect
1044. #433C2×D47semidirect
1058. C47#61493semidirect

Maximal subgroups

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

subgroupindex
#202573562
#202573472
#202564442
#202562822
#202560432
#202560292
#202559962
#202559102
#202559062
#202553132
#202553092
#202552982
#202552302
#202552212
#202552102
#202549812
#202549162
#202549082
#202540622
#202540502
#202539442
#202536612
#202536412
#202536372
#202535482
#202535352
#202523612
#202522172
#202522162
C4×#130940452
C47×#31252
#6149347