Finite Group Databasebeta

← #27101993

Subgroups — #27101993

Order 12032.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257705C211yesmaximal, characteristic, complemented
2#20257027C211yesmaximal, characteristic, complemented
3#20255605C211yesmaximal, characteristic, complemented
4#20255541C211yesmaximal, characteristic, complemented
5#20255487C211yesmaximal, characteristic, complemented
6#20255365C211yesmaximal, characteristic, complemented
7#20255343C211yesmaximal, characteristic, complemented
8#20255315C211yesmaximal, characteristic, complemented
9#20255236C211yesmaximal, characteristic, complemented
10#20255116C211yesmaximal, characteristic, complemented
11#20255074C211yesmaximal, characteristic, complemented
12#20255000C211yesmaximal, characteristic, complemented
13#20254985C211yesmaximal, characteristic, complemented
14#20254935C211yesmaximal, characteristic, complemented
15#20254919C211yesmaximal, characteristic, complemented
16#20254914C211yesmaximal, characteristic, complemented
17#20254871C211yesmaximal, characteristic, complemented
18#20254500C211yesmaximal, characteristic, complemented
19#20254448C211yesmaximal, characteristic, complemented
20#20254275C211yesmaximal, characteristic, complemented
21#20254256C211yesmaximal, characteristic, complemented
22#20254226C211yesmaximal, characteristic, complemented
23#20254158C211yesmaximal, characteristic, complemented
24#20253628C211yesmaximal, characteristic, complemented
25#20253579C211yesmaximal, characteristic, complemented
26#20252694C211yesmaximal, characteristic, complemented
27#20252653C211yesmaximal, characteristic, complemented
28#20252641C211yesmaximal, characteristic, complemented
29#20252603C211yesmaximal, characteristic, complemented
30#20252432C211yesmaximal, characteristic, complemented
31C47×#3330C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic, complemented
33C2×#41×D47C2211yescharacteristic, complemented
34C2×#13094052C2211yescharacteristic, complemented
35C2×#13094052C2211yescharacteristic, complemented
36C2×#13094051C2211yescharacteristic, complemented
37C2×#13094049C2211yescharacteristic, complemented
38C2×#13094045C2211yescharacteristic, complemented
39C2×#13094044C2211yescharacteristic, complemented
40C2×#13094043C2211yescharacteristic, complemented
41C2×D8×D47C2211yescharacteristic, complemented
42#15689869—21no—
43#15689863—21no—
44#15689839C2211yescharacteristic, complemented
45#15689821C2211yescharacteristic, complemented
46#15689808C2211yescharacteristic, complemented
47#15689796—21no—
48#15689791C2211yescharacteristic, complemented
49#15689776C2211yescharacteristic, complemented
50#15689775C2211yescharacteristic
51#15689774—21no—
52#15689772C2211yescharacteristic, complemented
53#15689771—21no—
54#15689769C2211yescharacteristic, complemented
55#15689769C2211yescharacteristic, complemented
56#15689768C2211yescharacteristic, complemented
57#15689768C2211yescharacteristic, complemented
58#15689765—21no—
59#15689764C2211yescharacteristic, complemented
60#15689762—21no—
61#15689761—21no—
62#15689761C2211yescharacteristic
63#15689757C2211yescharacteristic, complemented
64#15689747C2211yescharacteristic, complemented
65#15689725—21no—
66#15689724C2211yescharacteristic, complemented
67#15689713—21no—
68#15689704C2211yescharacteristic
69#15689698C2211yescharacteristic, complemented
70#15689696C2211yescharacteristic, complemented
71#15689689C2211yescharacteristic
72#15689687—21no—
73#15689684—21no—
74#15689684—21no—
75#15689681—21no—
76#15689636C2211yescharacteristic, complemented
77#15689633C2211yescharacteristic, complemented
78#15689632C2211yescharacteristic
79C2×#13094009—21no—
80#123×D47—21no—
81C2×#13093999C2211yescharacteristic, complemented
82#15689595C2211yescharacteristic, complemented
83#15689515C2211yescharacteristic, complemented
84#15689509C2211yescharacteristic, complemented
85#15689507C2211yescharacteristic, complemented
86#15689494C2211yescharacteristic, complemented
87#15689490C2211yescharacteristic, complemented
88#15689485C2211yescharacteristic, complemented
89#15689479C2211yescharacteristic, complemented
90#15689466C2211yescharacteristic, complemented
91#15689466C2211yescharacteristic, complemented
92#15689463C2211yescharacteristic, complemented
93#15689463C2211yescharacteristic, complemented
94#15689453C2211yescharacteristic, complemented
95#15689450C2211yescharacteristic, complemented
96#15689450C2211yescharacteristic, complemented
97#15689450C2211yescharacteristic, complemented
98#15689445C2211yescharacteristic, complemented
99#15689441C2211yescharacteristic, complemented
100#15689426C2211yescharacteristic, complemented
101#15689421C2211yescharacteristic, complemented
102#15689410C2211yescharacteristic, complemented
103#15689380C2211yescharacteristic, complemented
104#15689379C2211yescharacteristic, complemented
105#15689374C2211yescharacteristic, complemented
106#15689370C2211yescharacteristic, complemented
107#15689369C2211yescharacteristic, complemented
108#15689369C2211yescharacteristic, complemented
109#15689365C2211yescharacteristic, complemented
110#15689360C2211yescharacteristic, complemented
111#15689360C2211yescharacteristic, complemented
112#15689355C2211yescharacteristic, complemented
113#15689355C2211yescharacteristic, complemented
114#15689355C2211yescharacteristic, complemented
115#15689354C2211yescharacteristic, complemented
116#15689350C2211yescharacteristic, complemented
117#15689348C2211yescharacteristic, complemented
118#15689341C2211yescharacteristic, complemented
119#15689339C2211yescharacteristic, complemented
120#15689339C2211yescharacteristic, complemented
121#15689338C2211yescharacteristic, complemented
122#15689338C2211yescharacteristic, complemented
123#15689332C2211yescharacteristic, complemented
124#15689327C2211yescharacteristic, complemented
125#15689325C2211yescharacteristic, complemented
126#15689317C2211yescharacteristic, complemented
127#15689316C2211yescharacteristic, complemented
128#15689288C2211yescharacteristic, complemented
129#15689288C2211yescharacteristic, complemented
130#15689287C2211yescharacteristic, complemented
131#15689287C2211yescharacteristic, complemented
132#15689285C2211yescharacteristic, complemented
133#15689283C2211yescharacteristic, complemented
134#15689282C2211yescharacteristic, complemented
135#15689280C2211yescharacteristic, complemented
136#15689275C2211yescharacteristic, complemented
137#15689275C2211yescharacteristic, complemented
138#15689275C2211yescharacteristic, complemented
139#15689273C2211yescharacteristic, complemented
140#15689272C2211yescharacteristic, complemented
141#15689271C2211yescharacteristic
142#15689271C2211yescharacteristic, complemented
143#15689271C2211yescharacteristic, complemented
144#15689271C2211yescharacteristic, complemented
145#15689271C2211yescharacteristic, complemented
146#15689269C2211yescharacteristic, complemented
147#15689269C2211yescharacteristic, complemented
148#15689269C2211yescharacteristic, complemented
149#15689268C2211yescharacteristic, complemented
150#15689267C2211yescharacteristic, complemented
151#15689266C2211yescharacteristic, complemented
152#15689263C2211yescharacteristic, complemented
153#15689263C2211yescharacteristic, complemented
154#15689260C2211yescharacteristic, complemented
155#15689259C2211yescharacteristic, complemented
156#15689259C2211yescharacteristic, complemented
157#15689258C2211yescharacteristic
158#15689258C2211yescharacteristic, complemented
159#15689258C2211yescharacteristic, complemented
160#15689256C2211yescharacteristic, complemented
161#15689255C2211yescharacteristic, complemented
162#15689233C2211yescharacteristic, complemented
163#15689233C2211yescharacteristic, complemented
164#15689232C2211yescharacteristic, complemented
165#15689222C2211yescharacteristic, complemented
166#15689214C2211yescharacteristic, complemented
167C4×D376C2211yescharacteristic, complemented
168#15689205C2211yescharacteristic, complemented
169#15689199C2211yescharacteristic, complemented
170#15689197C2211yescharacteristic, complemented
171#15689195C2211yescharacteristic, complemented
172#15689193C2211yescharacteristic, complemented
173#15689192C2211yescharacteristic, complemented
174C8×D188C2211yescharacteristic, complemented
175(C22⋊D47)⋊C8C2211yescharacteristic, complemented
176#15689183C2211yescharacteristic, complemented
177#15689182C2211yescharacteristic, complemented
178#15689126C2211yescharacteristic, complemented
179#15689122C2211yescharacteristic, complemented
180#15689118C2211yescharacteristic, complemented
181#15689118C2211yescharacteristic, complemented
182#15689116C2211yescharacteristic, complemented
183C2×#13093944C2211yescharacteristic, complemented
184#15689091C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186#15689086C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C47×#547C2211yescharacteristic, complemented
189C47×#547C2211yescharacteristic, complemented
190C47×#487C2211yescharacteristic, complemented
191C47×#484C2211yescharacteristic, complemented
192C47×#484C2211yescharacteristic, complemented
193C47×#474C2211yescharacteristic, complemented
194C47×#468C2211yescharacteristic, complemented
195C47×#468C2211yescharacteristic, complemented
196C47×#461C2211yescharacteristic, complemented
197C47×#449C2211yescharacteristic, complemented
198C47×#449C2211yescharacteristic, complemented
199C4×D8×C47C2211yescharacteristic, complemented
200C47×#436C2211yescharacteristic, complemented
201C47×#417C2211yescharacteristic, complemented
202C47×#417C2211yescharacteristic, complemented
203#13094070—42no—
204#13094070—42no—
205C2×#10625354C2311yescharacteristic
206C2×#10625354C2311yescharacteristic
207C2×#10625354C2311yescharacteristic
208C2×#10625350—21no—
209C2×#10625350—21no—
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×#10625352—21no—
214C2×#10625352C2311yescharacteristic
215C2×#10625352C2311yescharacteristic
216#41×D47—42no—
217#41×D47—42no—
218C2×Q8×D47C2311yescharacteristic
219C22×D188—21no—
220C22×D188—21no—
221C22×D188C2311yescharacteristic
222C22×D188C2311yescharacteristic
223C2×D4×D47—21no—
224C2×D4×D47—21no—
225C2×D4×D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47C2311yescharacteristic
228C2×D4×D47C2311yescharacteristic
229C2×D4×D47C2311yescharacteristic
230C22×C4×D47—21no—
231C22×C4×D47C2311yescharacteristic
232#13094052—42no—
233#13094052—42no—
234#13094051—42no—
235#13094049—42no—
236#13094045—42no—
237#13094044—42no—
238#13094043—42no—
239C2×Dic188C2311yescharacteristic
240C2×#10625337C2311yescharacteristic
241C2×#10625337C2311yescharacteristic
242C2×#10625325C2311yescharacteristic
243C2×#10625325C2311yescharacteristic
244C2×#10625325C2311yescharacteristic
245C2×#10625325C2311yescharacteristic
246C2×#10625335C2311yescharacteristic
247C2×#10625335C2311yescharacteristic
248C2×#10625336C2311yescharacteristic
249C2×#10625336C2311yescharacteristic
250C2×#10625336C2311yescharacteristic
251C2×#10625336C2311yescharacteristic
252C2×D376C2311yescharacteristic
253C2×D376C2311yescharacteristic
254C2×D376C2311yescharacteristic
255C2×D376C2311yescharacteristic
256C2×#10625334C2311yescharacteristic
257C2×#10625334C2311yescharacteristic
258C2×#10625334C2311yescharacteristic
259C2×#10625334C2311yescharacteristic
260D8×D47—42no—
261C2×#10625329C2311yescharacteristic
262C2×#10625324C2311yescharacteristic
263C22×C47⋊C8C2311yescharacteristic
264C2×C8×D47C2311yescharacteristic
265C2×C8×D47C2311yescharacteristic
266C2×C8×D47C2311yescharacteristic
267#13094023—21no—
268#13094022C2311yescharacteristic
269#13094020—21no—
270#13094020—21no—
271#13094020C2311yescharacteristic
272#13094019—21no—
273#13094019—21no—
274#13094019—21no—
275#13094015C2311yescharacteristic
276#13094014—21no—
277#13094013—21no—
278#13094013—21no—
279#13094013—21no—
280#13094013C2311yescharacteristic
281#13094012C2311yescharacteristic
282#13094012C2311yescharacteristic
283#13094010—21no—
284#13094010—21no—
285#13094009—21no—
286#13094009—21no—
287#13094009—21no—
288#13094009—21no—
289#13094009—21no—
290#13094009—21no—
291#13094009—21no—
292#13094009—21no—
293#13094009—21no—
294#13094009—21no—
295#13094009—21no—
296#13094009—21no—
297#13094009D411yescharacteristic
298#13094008—21no—
299#13094008—21no—
300#13094007—21no—
301#13094007—21no—
302#13094007—21no—
303#13094007—21no—
304#13094006—21no—
305#13094006—21no—
306#13094006—21no—
307#13094006—21no—
308#13094006D411yescharacteristic
309#13094005—21no—
310#13094004—21no—
311#13094004C2311yescharacteristic
312#13094004C2311yescharacteristic
313#13094004C2311yescharacteristic
314#13094003C2311yescharacteristic
315#13094003C2311yescharacteristic
316#13094002—21no—
317#13094002—21no—
318#13094002D411yescharacteristic
319#13094001D411yescharacteristic
320#13094000—21no—
321#13094000C2311yescharacteristic
322#13094000C2311yescharacteristic
323#13093999—21no—
324#13093999—21no—
325#13093999—21no—
326#13093999—21no—
327#13093999—21no—
328#13093999—21no—
329#13093999C2311yescharacteristic
330#13093999C2311yescharacteristic
331#13093999C2311yescharacteristic
332#13093999C2311yescharacteristic
333#13093999C2311yescharacteristic
334#13093999C2311yescharacteristic
335#13093998—21no—
336#13093998—21no—
337#13093998—21no—
338#13093998—21no—
339#13093998—21no—
340#13093998—21no—
341#13093998C2311yescharacteristic
342#13093998C2311yescharacteristic
343#13093997—21no—
344#13093997—21no—
345#13093997—21no—
346#13093997—21no—
347#13093997—21no—
348#13093997—21no—
349#13093997D411yescharacteristic
350#13093996—21no—
351#13093996—21no—
352#13093996—21no—
353#13093996D411yescharacteristic
354#13093995C2311yescharacteristic
355#13093994—21no—
356#13093994—21no—
357#13093994—21no—
358#13093994—21no—
359#13093994—21no—
360#13093994—21no—
361#13093994D411yescharacteristic
362#13093992—21no—
363#13093992—21no—
364#13093992—21no—
365#13093992—21no—
366#13093992—21no—
367#13093992—21no—
368#13093992D411yescharacteristic
369#13093989C2311yescharacteristic
370C4×D188C2311yescharacteristic
371C4×D188C2311yescharacteristic
372C4×D188C2311yescharacteristic
373D4×Dic47—21no—
374D4×Dic47C2311yescharacteristic
375#13093986—21no—
376#13093986C2311yescharacteristic
377#13093986C2311yescharacteristic
378C4×C22⋊D47—21no—
379C4×C22⋊D47—21no—
380C4×C22⋊D47C2311yescharacteristic
381C4×C22⋊D47C2311yescharacteristic
382(C22⋊D47)⋊C4—21no—
383(C22⋊D47)⋊C4—21no—
384(C22⋊D47)⋊C4—21no—
385(C22⋊D47)⋊C4—21no—
386#13093983—21no—
387#13093982—21no—
388#13093982C2311yescharacteristic
389#13093982C2311yescharacteristic
390#13093982C2311yescharacteristic
391#13093981C2311yescharacteristic
392C2×Dic47⋊C4—21no—
393C4⋊C4×D47—21no—
394C4⋊C4×D47—21no—
395C2×(C2×D47)⋊C4—21no—
396C2×(C2×D47)⋊C4—21no—
397C2×(C2×D47)⋊C4—21no—
398C2×(C2×D47)⋊C4—21no—
399C2×(C2×D47)⋊C4—21no—
400C22⋊C4×D47—21no—
401C22⋊C4×D47—21no—
402C22⋊C4×D47—21no—
403C22⋊C4×D47—21no—
404#13093958C2311yescharacteristic
405#13093955C2311yescharacteristic
406#13093955C2311yescharacteristic
407#13093955C2311yescharacteristic
408#13093955C2311yescharacteristic
409C4⋊(C47⋊C8)C2311yescharacteristic
410Dic47⋊C8C2311yescharacteristic
411Dic47⋊C8C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093949C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093944C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432#13093944C2311yescharacteristic
433#13093944C2311yescharacteristic
434C22⋊(C47⋊C8)C2311yescharacteristic
435C22⋊(C47⋊C8)C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441(C2×D47)⋊C8C2311yescharacteristic
442(C2×D47)⋊C8C2311yescharacteristic
443(C2×D47)⋊C8C2311yescharacteristic
444#13093935C2311yescharacteristic
445#13093934C2311yescharacteristic
446C8×Dic47C2311yescharacteristic
447C2×#41×C47—21no—
448C2×#41×C47C2311yescharacteristic
449C2×#41×C47C2311yescharacteristic
450C2×SD16×C47C2311yescharacteristic
451C2×SD16×C47C2311yescharacteristic
452C2×D8×C47C2311yescharacteristic
453C2×M16×C47C2311yescharacteristic
454C2×M16×C47C2311yescharacteristic
455C4⋊Q8×C47C2311yescharacteristic
456C4⋊Q8×C47C2311yescharacteristic
457#123×C47—21no—
458#123×C47—21no—
459#123×C47—21no—
460#123×C47—21no—
461C22⋊Q8×C47—21no—
462C22⋊Q8×C47C2311yescharacteristic
463C22⋊Q8×C47C2311yescharacteristic
464#121×C47—21no—
465#121×C47C2311yescharacteristic
466#121×C47C2311yescharacteristic
467C4×D4×C47C2311yescharacteristic
468C4×D4×C47C2311yescharacteristic
469C4×D4×C47C2311yescharacteristic
470C2×C4⋊C4×C47—21no—
471C2×C4⋊C4×C47C2311yescharacteristic
472C2×C4⋊C4×C47C2311yescharacteristic
473#107×C47C2311yescharacteristic
474#107×C47C2311yescharacteristic
475#107×C47C2311yescharacteristic
476C4⋊C8×C47C2311yescharacteristic
477#103×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#103×C47C2311yescharacteristic
481#103×C47C2311yescharacteristic
482#103×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486#102×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489C4×C8×C47C2311yescharacteristic
490C23×D47—21no—
491C23×D47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47C2×D411yescharacteristic
496#41×C47—22no—
497#41×C47—22no—
498#41×C47—41no—
499#41×C47—41no—
500#41×C47—82no—
501C2×Q8×C47—21no—
502C2×Q8×C47C2411yescharacteristic
503C2×Q8×C47C2411yescharacteristic
504C2×D4×C47—21no—
505C2×D4×C47—21no—
506C2×D4×C47—21no—
507C2×D4×C47—21no—
508C2×D4×C47C2×D411yescharacteristic
509C2×D4×C47C2411yescharacteristic
510C2×D4×C47C2411yescharacteristic
511C22×C4×C47—21no—
512C22×C4×C47—21no—
513C22×C4×C47—21no—
514C22×C4×C47—21no—
515C22×C4×C47—21no—
516C22×C4×C47—21no—
517C22×C4×C47C2411yescharacteristic
518C22×C4×C47C2411yescharacteristic
519C2×C22⋊D47—21no—
520C2×C22⋊D47—21no—
521C2×C22⋊D47—21no—
522C2×C22⋊D47—21no—
523C2×C22⋊D47—21no—
524C2×C22⋊D47—21no—
525C2×C22⋊D47—21no—
526C2×C22⋊D47—21no—
527C2×C22⋊D47—21no—
528C2×C22⋊D47—21no—
529C2×C22⋊D47—21no—
530C2×C22⋊D47—21no—
531C2×C22⋊D47C2×D411yescharacteristic
532C2×C22⋊D47C2×D411yescharacteristic
533C2×C22⋊D47C2×D411yescharacteristic
534C2×C22⋊D47C2×D411yescharacteristic
535C22×Dic47—21no—
536C22×Dic47—21no—
537C22×Dic47—21no—
538C22×Dic47C2×D411yescharacteristic
539#10625354—22no—
540#10625354—22no—
541#10625354—41no—
542#10625354—41no—
543#10625354—41no—
544#10625354—41no—
545Q8×D47—41no—
546Q8×D47—41no—
547#10625352—22no—
548#10625352—41no—
549#10625352—41no—
550#10625352—41no—
551#10625352—44no—
552D4×D47—22no—
553D4×D47—22no—
554D4×D47—22no—
555D4×D47—41no—
556D4×D47—41no—
557D4×D47—41no—
558D4×D47—44no—
559D4×D47—44no—
560D4×D47—44no—
561D4×D47—82no—
562#10625350—22no—
563#10625350—41no—
564#10625350—41no—
565#10625350—41no—
566#10625350—41no—
567#10625350—41no—
568#10625350—44no—
569#10625350—44no—
570C2×D188—22no—
571C2×D188—21no—
572C2×D188—21no—
573C2×D188—21no—
574C2×D188—21no—
575C2×D188—21no—
576C2×D188—21no—
577C2×D188—21no—
578C2×D188—21no—
579C2×D188—21no—
580C2×D188—21no—
581C2×D188—21no—
582C2×D188—41no—
583C2×D188—41no—
584C2×D188—41no—
585C2×D188—44no—
586C2×D188—82no—
587C2×D188C2×D411yescharacteristic
588C2×D188C2×D411yescharacteristic
589C2×D188C2411yescharacteristic
590C2×D188C2411yescharacteristic
591C2×D188C2411yescharacteristic
592C2×D188C2411yescharacteristic
593C2×C4×D47—21no—
594C2×C4×D47—21no—
595C2×C4×D47—21no—
596C2×C4×D47—21no—
597C2×C4×D47—21no—
598C2×C4×D47—21no—
599C2×C4×D47—21no—
600C2×C4×D47—21no—
601C2×C4×D47—21no—
602C2×C4×D47—21no—
603C2×C4×D47—41no—
604C2×C4×D47—41no—
605C2×C4×D47—44no—
606C2×C4×D47C2×D411yescharacteristic
607C2×C4×D47C2×D411yescharacteristic
608C2×C4×D47C2411yescharacteristic
609C2×C4×D47C2411yescharacteristic
610C2×C4×D47C2411yescharacteristic
611C2×Dic94—21no—
612C2×Dic94C2×D411yescharacteristic
613C2×Dic94C2411yescharacteristic
614C2×Dic94C2411yescharacteristic
615SD16×C47—41no—
616SD16×C47—41no—
617D8×C47—22no—
618M16×C47—41no—
619M16×C47—41no—
620C2×C8×C47C2411yescharacteristic
621C2×C8×C47C2411yescharacteristic
622C2×C8×C47C2411yescharacteristic
623C2×C8×C47C2411yescharacteristic
624C4⋊C4×C47—21no—
625C4⋊C4×C47—21no—
626C4⋊C4×C47—21no—
627C4⋊C4×C47—21no—
628C4⋊C4×C47—21no—
629C4⋊C4×C47—21no—
630C4⋊C4×C47—21no—
631C4⋊C4×C47C2×D411yescharacteristic
632C4⋊C4×C47C2411yescharacteristic
633C4⋊C4×C47C2411yescharacteristic
634C4⋊C4×C47C2411yescharacteristic
635C4⋊C4×C47C2411yescharacteristic
636C22⋊C4×C47—21no—
637C22⋊C4×C47—21no—
638C22⋊C4×C47—21no—
639C22⋊C4×C47—21no—
640C22⋊C4×C47—21no—
641C22⋊C4×C47—21no—
642C22⋊C4×C47C2×D411yescharacteristic
643C22⋊C4×C47C2×D411yescharacteristic
644C42×C47C2411yescharacteristic
645C22⋊Dic47—21no—
646C22⋊Dic47—21no—
647C22⋊Dic47—21no—
648C22⋊Dic47—21no—
649C22⋊Dic47C2×D411yescharacteristic
650C22⋊Dic47C2×D411yescharacteristic
651#10625337—41no—
652#10625337—41no—
653#10625336—41no—
654#10625336—41no—
655#10625336—41no—
656#10625336—41no—
657#10625335—22no—
658#10625335—41no—
659#10625334—22no—
660#10625334—22no—
661#10625334—22no—
662#10625334—41no—
663(C2×D47)⋊C4—21no—
664(C2×D47)⋊C4—21no—
665(C2×D47)⋊C4—21no—
666(C2×D47)⋊C4—21no—
667(C2×D47)⋊C4—21no—
668(C2×D47)⋊C4—21no—
669(C2×D47)⋊C4—21no—
670(C2×D47)⋊C4—21no—
671(C2×D47)⋊C4—21no—
672(C2×D47)⋊C4—21no—
673(C2×D47)⋊C4—21no—
674(C2×D47)⋊C4—21no—
675(C2×D47)⋊C4—21no—
676(C2×D47)⋊C4—21no—
677(C2×D47)⋊C4—21no—
678(C2×D47)⋊C4—21no—
679(C2×D47)⋊C4—21no—
680(C2×D47)⋊C4—21no—
681(C2×D47)⋊C4—21no—
682(C2×D47)⋊C4—21no—
683(C2×D47)⋊C4—21no—
684(C2×D47)⋊C4—21no—
685(C2×D47)⋊C4—21no—
686(C2×D47)⋊C4—21no—
687(C2×D47)⋊C4—21no—
688(C2×D47)⋊C4—21no—
689(C2×D47)⋊C4C2×D411yescharacteristic
690(C2×D47)⋊C4C2×D411yescharacteristic
691(C2×D47)⋊C4C2×D411yescharacteristic
692(C2×D47)⋊C4C2×D411yescharacteristic
693(C2×D47)⋊C4C2×D411yescharacteristic
694(C2×D47)⋊C4C2×D411yescharacteristic
695C4⋊Dic47—21no—
696C4⋊Dic47—21no—
697C4⋊Dic47—21no—
698C4⋊Dic47—21no—
699C4⋊Dic47C2×D411yescharacteristic
700C4⋊Dic47C2411yescharacteristic
701C4⋊Dic47C2411yescharacteristic
702Dic47⋊C4—21no—
703Dic47⋊C4—21no—
704Dic47⋊C4—21no—
705Dic47⋊C4—21no—
706Dic47⋊C4—21no—
707Dic47⋊C4—21no—
708Dic47⋊C4—21no—
709Dic47⋊C4—21no—
710Dic47⋊C4C2×D411yescharacteristic
711Dic47⋊C4C2×D411yescharacteristic
712Dic47⋊C4C2×D411yescharacteristic
713Dic47⋊C4C2×D411yescharacteristic
714C4×Dic47—21no—
715C4×Dic47—21no—
716C4×Dic47—21no—
717C4×Dic47—21no—
718C4×Dic47C2411yescharacteristic
719#10625329—41no—
720C2×C47⋊C8—41no—
721C2×C47⋊C8C2411yescharacteristic
722C2×C47⋊C8C2411yescharacteristic
723C2×C47⋊C8C2411yescharacteristic
724C2×C47⋊C8C2411yescharacteristic
725Dic188—41no—
726D376—22no—
727D376—22no—
728D376—41no—
729D376—41no—
730#10625325—22no—
731#10625325—41no—
732#10625325—41no—
733#10625325—41no—
734#10625324—41no—
735C8×D47—41no—
736C8×D47—41no—
737C8×D47—41no—
738C23×C47—21no—
739C23×C47—21no—
740C23×C47C22×D411yescharacteristic
741C23×C47C22×D411yescharacteristic
742C22×D47—21no—
743C22×D47—24no—
744C22×D47—21no—
745C22×D47—21no—
746C22×D47—21no—
747C22×D47—41no—
748C22×D47—41no—
749C22×D47—41no—
750C22×D47—42no—
751C22×D47—42no—
752C22×D47—42no—
753C22×D47—81no—
754C22×D47—81no—
755C22×D47—81no—
756C22×D47—81no—
757C22×D47—81no—
758C22×D47—81no—
759C22×D47—81no—
760C22×D47—81no—
761C22×D47—81no—
762C22×D47—81no—
763C22×D47—81no—
764C22×D47C22×D411yescharacteristic
765C22×D47C22×D411yescharacteristic
766C22×D47C22×D411yescharacteristic
767Q8×C47—21no—
768Q8×C47—21no—
769Q8×C47—21no—
770Q8×C47—21no—
771Q8×C47—81no—
772D4×C47—21no—
773D4×C47—21no—
774D4×C47—21no—
775D4×C47—41no—
776D4×C47—42no—
777D4×C47—42no—
778D4×C47—42no—
779D4×C47—81no—
780D4×C47H(5,𝔽2)12yes—
781C2×C4×C47—21no—
782C2×C4×C47—21no—
783C2×C4×C47—21no—
784C2×C4×C47—21no—
785C2×C4×C47—21no—
786C2×C4×C47—21no—
787C2×C4×C47—21no—
788C2×C4×C47—21no—
789C2×C4×C47—21no—
790C2×C4×C47—21no—
791C2×C4×C47—42no—
792C2×C4×C47—42no—
793C2×C4×C47—42no—
794C2×C4×C47—81no—
795C2×C4×C47—81no—
796C2×C4×C47—81no—
797C2×C4×C47C22×D411yescharacteristic
798C2×C4×C47C22×D411yescharacteristic
799C2×C4×C47C22×D411yescharacteristic
800C2×C4×C47C22×D411yescharacteristic
801C2×C4×C47C2511yescharacteristic
802C22⋊D47—24no—
803C22⋊D47—41no—
804C22⋊D47—41no—
805C22⋊D47—41no—
806C22⋊D47—41no—
807C22⋊D47—42no—
808C22⋊D47—42no—
809C22⋊D47—42no—
810C22⋊D47—81no—
811C22⋊D47—81no—
812C22⋊D47—81no—
813C22⋊D47—81no—
814C22⋊D47—81no—
815C22⋊D47—81no—
816C22⋊D47—81no—
817C22⋊D47—81no—
818C2×Dic47—21no—
819C2×Dic47—21no—
820C2×Dic47—21no—
821C2×Dic47—21no—
822C2×Dic47—41no—
823C2×Dic47—42no—
824C2×Dic47—81no—
825C2×Dic47—81no—
826C2×Dic47C22×D411yescharacteristic
827C2×Dic47C22×D411yescharacteristic
828C2×Dic47C22×D411yescharacteristic
829C2×Dic47C22×D411yescharacteristic
830C2×Dic47C22×D411yescharacteristic
831D188—21no—
832D188—21no—
833D188—21no—
834D188—21no—
835D188—21no—
836D188—21no—
837D188—21no—
838D188—41no—
839D188—41no—
840D188—42no—
841D188—42no—
842D188—42no—
843D188—42no—
844D188—81no—
845D188—81no—
846D188—81no—
847D188—81no—
848D188—81no—
849D188—81no—
850D188—81no—
851D188H(5,𝔽2)12yes—
852C4×D47—21no—
853C4×D47—21no—
854C4×D47—21no—
855C4×D47—21no—
856C4×D47—21no—
857C4×D47—21no—
858C4×D47—41no—
859C4×D47—41no—
860C4×D47—42no—
861C4×D47—42no—
862C4×D47—42no—
863C4×D47—42no—
864C4×D47—42no—
865C4×D47—81no—
866C4×D47—81no—
867C4×D47—81no—
868C4×D47—81no—
869C4×D47—81no—
870Dic94—21no—
871Dic94—21no—
872Dic94—21no—
873Dic94—21no—
874Dic94—41no—
875Dic94—42no—
876C8×C47—21no—
877C8×C47—21no—
878C8×C47—21no—
879C8×C47—21no—
880C47⋊C8—21no—
881C47⋊C8—21no—
882C47⋊C8—21no—
883C47⋊C8—21no—
884#61614—471nomaximal, Sylow
885C22×C47—21no—
886C22×C47—21no—
887C22×C47—21no—
888C22×C47—21no—
889C22×C47—22no—
890C22×C47—21no—
891C22×C47—21no—
892C22×C47—41no—
893C22×C47—41no—
894C22×C47—41no—
895C22×C47—41no—
896C22×C47—41no—
897C22×C47C23×D411yescharacteristic
898C2×D47—21no—
899C2×D47—21no—
900C2×D47—21no—
901C2×D47—21no—
902C2×D47—21no—
903C2×D47—21no—
904C2×D47—21no—
905C2×D47—21no—
906C2×D47—21no—
907C2×D47—22no—
908C2×D47—41no—
909C2×D47—41no—
910C2×D47—41no—
911C2×D47—41no—
912C2×D47—41no—
913C2×D47—41no—
914C2×D47—41no—
915C2×D47—41no—
916C2×D47—41no—
917C2×D47—41no—
918C2×D47—41no—
919C2×D47—84no—
920C2×D47—82no—
921C2×D47—162no—
922C2×D47—162no—
923C2×D47—162no—
924C2×D47—162no—
925C4×C47—21no—
926C4×C47—21no—
927C4×C47—21no—
928C4×C47—21no—
929C4×C47—41no—
930C4×C47—41no—
931C4×C47—41no—
932C4×C47—41no—
933C4×C47—41no—
934C4×C47—41no—
935C4×C47C2×H(5,𝔽2)11yescharacteristic
936C4×C47C2×H(5,𝔽2)11yescharacteristic
937Dic47—21no—
938Dic47—21no—
939Dic47—21no—
940Dic47—21no—
941Dic47—21no—
942Dic47—41no—
943Dic47—41no—
944Dic47—41no—
945Dic47—41no—
946#3542—471no—
947#3485—471no—
948#3330D4711yescharacteristic, complemented
949#3323—471no—
950#3319—471no—
951#3315—471no—
952#3307—471no—
953#3306—471no—
954#3303—471no—
955#3297—471no—
956#3284—471no—
957#3280—471no—
958#3273—471no—
959#3272—471no—
960#3268—471no—
961#3267—471no—
962#3267—471no—
963#3264—471no—
964#3225—471no—
965#3221—471no—
966#3201—471no—
967#3200—471no—
968#3197—471no—
969#3188—471no—
970#3122—471no—
971#3118—471no—
972#3012—471no—
973#3008—471no—
974#3006—471no—
975#3002—471no—
976#2976—471no—
977C2×C47—41no—
978C2×C47—42no—
979C2×C47—41no—
980C2×C47—81no—
981C2×C47#348411yescharacteristic
982C2×C47#358411yescharacteristic
983C2×C47#358511yescharacteristic
984D47—41no—
985D47—41no—
986D47—41no—
987D47—42no—
988D47—81no—
989D47—81no—
990D47—81no—
991C2×H(5,𝔽2)—471no—
992C22×#41—471no—
993C2×AGL(1,ℤ/8)—471no—
994C2×AGL(1,ℤ/8)—471no—
995C2×AGL(1,ℤ/8)—471no—
996C2×AGL(1,ℤ/8)—471no—
997C2×#135—471no—
998C2×#135—471no—
999C2×#135—471no—
1000C22×D8—471no—
1001#562—941no—
1002#560—941no—
1003#555—471no—
1004#553—471no—
1005#552—471no—
1006#551—941no—
1007#550—471no—
1008#547—471no—
1009#547—471no—
1010#547—471no—
1011#547—941no—
1012#547—941no—
1013#547C2×D4711yescharacteristic, complemented
1014#547C2×D4711yescharacteristic, complemented
1015#546—471no—
1016#546—471no—
1017#546—471no—
1018#546—471no—
1019#546—471no—
1020#546—471no—
1021#546—941no—
1022#546—941no—
1023#546—941no—
1024D42—471no—
1025#542—471no—
1026#540—471no—
1027#540—941no—
1028#538—941no—
1029#537—471no—
1030#536—471no—
1031#536—471no—
1032#535—471no—
1033#535—941no—
1034#534—941no—
1035#534—941no—
1036#534—941no—
1037#525—471no—
1038#525—471no—
1039#525—471no—
1040C2×#123—941no—
1041C2×#123—941no—
1042C2×#121—471no—
1043#518—471no—
1044#497—471no—
1045#496—471no—
1046#495—471no—
1047#492—471no—
1048#491—471no—
1049#489—471no—
1050#488—471no—
1051#487C2×D4711yescharacteristic, complemented
1052#485—471no—
1053#485—471no—
1054#485—471no—
1055#485—471no—
1056#484C2×D4711yescharacteristic, complemented
1057#484C2×D4711yescharacteristic, complemented
1058#483—471no—
1059#482—471no—
1060#482—471no—
1061#482—471no—
1062#482—471no—
1063#481—471no—
1064#478—471no—
1065#478—471no—
1066#476—471no—
1067#474C2×D4711yescharacteristic, complemented
1068#470—471no—
1069#470—471no—
1070#469—471no—
1071#468—471no—
1072#468—471no—
1073#468—471no—
1074#468C2×D4711yescharacteristic, complemented
1075#468C2×D4711yescharacteristic, complemented
1076#467—471no—
1077#466—471no—
1078#466—471no—
1079#465—471no—
1080#465—471no—
1081#465—471no—
1082#465—471no—
1083#465—471no—
1084#464—471no—
1085#463—471no—
1086#463—471no—
1087#463—471no—
1088#463—471no—
1089#463—471no—
1090#462—471no—
1091#461—471no—
1092#461—471no—
1093#461C2×D4711yescharacteristic, complemented
1094#459—471no—
1095#459—471no—
1096#452—471no—
1097#452—471no—
1098#452—471no—
1099#452—471no—
1100#452—471no—
1101#452—471no—
1102#452—471no—
1103#451—471no—
1104#450—471no—
1105#450—471no—
1106#450—471no—
1107#450—471no—
1108#450—471no—
1109#449—471no—
1110#449—471no—
1111#449—471no—
1112#449—471no—
1113#449—471no—
1114#449—471no—
1115#449—471no—
1116#449—471no—
1117#449—471no—
1118#449—471no—
1119#449—471no—
1120#449C2×D4711yescharacteristic, complemented
1121#449C2×D4711yescharacteristic, complemented
1122#448—471no—
1123#448—471no—
1124#448—471no—
1125#447—471no—
1126#447—471no—
1127#447—471no—
1128#447—471no—
1129#447—471no—
1130#447—471no—
1131#447—471no—
1132#442—471no—
1133#442—471no—
1134#442—471no—
1135#440—471no—
1136C4×SD16—471no—
1137C4×D8—471no—
1138C4×D8—471no—
1139C4×D8C2×D4711yescharacteristic, complemented
1140#436—471no—
1141#436C2×D4711yescharacteristic, complemented
1142#435—471no—
1143#435—471no—
1144#435—471no—
1145#435—471no—
1146C8×D4—471no—
1147C8×D4—471no—
1148#433—471no—
1149#433—471no—
1150#418—471no—
1151#417—471no—
1152#417C2×D4711yescharacteristic, complemented
1153#417C2×D4711yescharacteristic, complemented
1154#416—471no—
1155#416—471no—
1156#416—471no—
1157C2×#102—471no—
1158#408—471no—
1159#408—471no—
1160#407—471no—
1161C2×C22⋊C8—471no—
1162C47#6161411yescharacteristic, complemented, Sylow
1163H(5,𝔽2)—1882no—
1164H(5,𝔽2)—1882no—
1165C2×#41—21no—
1166C2×#41—471no—
1167C2×#41—471no—
1168C2×#41—471no—
1169C2×#41—471no—
1170C2×#41—471no—
1171C2×#41—471no—
1172C2×#41—471no—
1173C2×#41—471no—
1174C2×#41—941no—
1175C2×#41—941no—
1176C2×#41—941no—
1177C2×#41—1882no—
1178C2×#41—1882no—
1179C2×#41C22×D4711yescharacteristic
1180C2×#41C22×D4711yescharacteristic
1181C22×Q8—471no—
1182C22×D4—471no—
1183C22×D4—471no—
1184C22×D4—471no—
1185C22×D4—471no—
1186C22×D4—471no—
1187C22×D4—941no—
1188C22×D4—941no—
1189C22×D4—941no—
1190C22×D4—941no—
1191C22×D4—941no—
1192C22×D4—941no—
1193C23×C4—471no—
1194C23×C4—941no—
1195AGL(1,ℤ/8)—1882no—
1196AGL(1,ℤ/8)—1882no—
1197AGL(1,ℤ/8)—1882no—
1198AGL(1,ℤ/8)—1882no—
1199#135—1882no—
1200#135—1882no—
1201#135—1882no—
1202C2×Q16—471no—
1203C2×Q16—471no—
1204C2×Q16—471no—
1205C2×SD16—471no—
1206C2×SD16—471no—
1207C2×SD16—471no—
1208C2×SD16—471no—
1209C2×SD16—471no—
1210C2×SD16—471no—
1211C2×SD16—471no—
1212C2×SD16—471no—
1213C2×SD16—471no—
1214C2×SD16—471no—
1215C2×SD16C22×D4711yescharacteristic
1216C2×SD16C22×D4711yescharacteristic
1217C2×D8—471no—
1218C2×D8—471no—
1219C2×D8—471no—
1220C2×D8—471no—
1221C2×D8—471no—
1222C2×D8—471no—
1223C2×D8—471no—
1224C2×D8—471no—
1225C2×D8—1882no—
1226C2×D8C22×D4711yescharacteristic
1227C2×M16—471no—
1228C2×M16—471no—
1229C2×M16C22×D4711yescharacteristic
1230C2×M16C22×D4711yescharacteristic
1231C22×C8—471no—
1232C22×C8—471no—
1233C22×C8—471no—
1234C22×C8—471no—
1235C4⋊Q8—471no—
1236C4⋊Q8—941no—
1237C4⋊Q8C22×D4711yescharacteristic
1238C4⋊Q8C22×D4711yescharacteristic
1239#127—471no—
1240#127—941no—
1241#127—941no—
1242#126—941no—
1243#126—941no—
1244#126—941no—
1245#125—471no—
1246#125—941no—
1247#124—471no—
1248#124—471no—
1249#124—471no—
1250#124—941no—
1251#124—941no—
1252#124—941no—
1253#124—941no—
1254#124—941no—
1255#123—21no—
1256#123—21no—
1257#123—21no—
1258#123—21no—
1259#123—471no—
1260#123—471no—
1261#123—941no—
1262#123—941no—
1263#123—941no—
1264#123—941no—
1265#123—941no—
1266#123—941no—
1267#123—941no—
1268#123—941no—
1269#123—941no—
1270#123—941no—
1271#123—941no—
1272#123—941no—
1273#123—941no—
1274#123—941no—
1275#123—941no—
1276#123—941no—
1277#123—941no—
1278#123—941no—
1279#123—941no—
1280#123—941no—
1281#123—941no—
1282#123—941no—
1283#123—941no—
1284C22⋊Q8—21no—
1285C22⋊Q8—471no—
1286C22⋊Q8—471no—
1287C22⋊Q8—471no—
1288C22⋊Q8—471no—
1289C22⋊Q8—471no—
1290C22⋊Q8—471no—
1291C22⋊Q8—471no—
1292C22⋊Q8—471no—
1293C22⋊Q8—471no—
1294C22⋊Q8—941no—
1295C22⋊Q8—941no—
1296C22⋊Q8—941no—
1297C22⋊Q8—941no—
1298C22⋊Q8C22×D4711yescharacteristic
1299C22⋊Q8C22×D4711yescharacteristic
1300#121—21no—
1301#121—471no—
1302#121—471no—
1303#121—471no—
1304#121—471no—
1305#121—471no—
1306#121—471no—
1307#121—471no—
1308#121—471no—
1309#121—471no—
1310#121—471no—
1311#121—471no—
1312#121—941no—
1313#121—941no—
1314#121—941no—
1315#121—941no—
1316#121—941no—
1317#121—941no—
1318#121—941no—
1319#121—941no—
1320#121—941no—
1321#121—941no—
1322#121—941no—
1323#121—941no—
1324#121—941no—
1325#121—941no—
1326#121—941no—
1327#121—941no—
1328#121—941no—
1329#121—941no—
1330#121—941no—
1331#121—941no—
1332#121—941no—
1333#121C22×D4711yescharacteristic
1334#121C22×D4711yescharacteristic
1335#120—471no—
1336#120—471no—
1337#120—941no—
1338#120—941no—
1339#120—941no—
1340#120—941no—
1341#120—941no—
1342#120—941no—
1343#120—941no—
1344#120—941no—
1345#120—941no—
1346#120—941no—
1347#120—941no—
1348#120—941no—
1349C4×Q8—471no—
1350C4×D4—471no—
1351C4×D4—471no—
1352C4×D4—471no—
1353C4×D4—471no—
1354C4×D4—471no—
1355C4×D4—471no—
1356C4×D4—471no—
1357C4×D4—471no—
1358C4×D4—941no—
1359C4×D4—941no—
1360C4×D4—941no—
1361C4×D4—941no—
1362C4×D4—941no—
1363C4×D4—941no—
1364C4×D4—941no—
1365C4×D4—941no—
1366C4×D4C22×D4711yescharacteristic
1367C4×D4C22×D4711yescharacteristic
1368C4×D4C22×D4711yescharacteristic
1369#117—471no—
1370#117—471no—
1371#117—471no—
1372#117—471no—
1373#117—941no—
1374#117—941no—
1375C2×C4⋊C4—21no—
1376C2×C4⋊C4—941no—
1377C2×C4⋊C4—941no—
1378C2×C4⋊C4—941no—
1379C2×C4⋊C4C22×D4711yescharacteristic
1380C2×C4⋊C4C22×D4711yescharacteristic
1381C2×C22⋊C4—941no—
1382C2×C22⋊C4—941no—
1383C2×C22⋊C4—941no—
1384C2×C22⋊C4—941no—
1385C2×C22⋊C4—941no—
1386C2×C22⋊C4—941no—
1387C2×C22⋊C4—941no—
1388C2×C22⋊C4—941no—
1389C2×C22⋊C4—941no—
1390#107—471no—
1391#107C22×D4711yescharacteristic
1392#107C22×D4711yescharacteristic
1393#107C22×D4711yescharacteristic
1394#106—471no—
1395#106—471no—
1396#106—471no—
1397#106—471no—
1398C4⋊C8—471no—
1399C4⋊C8—471no—
1400C4⋊C8—471no—
1401C4⋊C8C22×D4711yescharacteristic
1402#103—471no—
1403#103—471no—
1404#103—471no—
1405#103—471no—
1406#103—471no—
1407#103—471no—
1408#103—471no—
1409#103—471no—
1410#103C22×D4711yescharacteristic
1411#103C22×D4711yescharacteristic
1412#103C22×D4711yescharacteristic
1413#103C22×D4711yescharacteristic
1414#103C22×D4711yescharacteristic
1415#103C22×D4711yescharacteristic
1416#102—471no—
1417#102—471no—
1418#102—471no—
1419#102—471no—
1420#102—471no—
1421#102—471no—
1422#102—471no—
1423#102—471no—
1424#102—471no—
1425#102—471no—
1426#102—471no—
1427#102—471no—
1428#102—471no—
1429#102—471no—
1430#102C22×D4711yescharacteristic
1431#102C22×D4711yescharacteristic
1432#102C22×D4711yescharacteristic
1433#102C22×D4711yescharacteristic
1434C22⋊C8—471no—
1435C22⋊C8—471no—
1436C22⋊C8—471no—
1437C22⋊C8—471no—
1438C22⋊C8—471no—
1439C22⋊C8—471no—
1440C22⋊C8—471no—
1441C22⋊C8—471no—
1442C22⋊C8—471no—
1443C22⋊C8—471no—
1444C22⋊C8C22×D4711yescharacteristic
1445C22⋊C8C22×D4711yescharacteristic
1446#97—471no—
1447#97—471no—
1448C4×C8—471no—
1449C4×C8C22×D4711yescharacteristic
1450C24—471no—
1451C24—941no—
1452C24—941no—
1453C24—941no—
1454C24—941no—
1455C24—941no—
1456#41—22no—
1457#41—22no—
1458#41—41no—
1459#41—41no—
1460#41—82no—
1461#41—942no—
1462#41—942no—
1463#41—942no—
1464#41—942no—
1465#41—1881no—
1466#41—1881no—
1467#41—1881no—
1468#41—1881no—
1469#41—1881no—
1470#41—1884no—
1471#41—1884no—
1472#41—1881no—
1473#41—1881no—
1474#41—1881no—
1475#41—1881no—
1476#41—1881no—
1477#41—1881no—
1478#41—1881no—
1479#41—1884no—
1480C2×Q8—21no—
1481C2×Q8—471no—
1482C2×Q8—471no—
1483C2×Q8—471no—
1484C2×Q8—941no—
1485C2×Q8—1881no—
1486C2×Q8—1881no—
1487C2×Q8C23×D4711yescharacteristic
1488C2×Q8C23×D4711yescharacteristic
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—471no—
1494C2×D4—471no—
1495C2×D4—471no—
1496C2×D4—471no—
1497C2×D4—471no—
1498C2×D4—471no—
1499C2×D4—471no—
1500C2×D4—471no—
1501C2×D4—471no—
1502C2×D4—471no—
1503C2×D4—942no—
1504C2×D4—941no—
1505C2×D4—941no—
1506C2×D4—941no—
1507C2×D4—941no—
1508C2×D4—941no—
1509C2×D4—941no—
1510C2×D4—941no—
1511C2×D4—941no—
1512C2×D4—941no—
1513C2×D4—941no—
1514C2×D4—941no—
1515C2×D4—941no—
1516C2×D4—941no—
1517C2×D4—941no—
1518C2×D4—942no—
1519C2×D4—942no—
1520C2×D4—942no—
1521C2×D4—941no—
1522C2×D4—941no—
1523C2×D4—941no—
1524C2×D4—941no—
1525C2×D4—941no—
1526C2×D4—941no—
1527C2×D4—941no—
1528C2×D4—941no—
1529C2×D4—941no—
1530C2×D4—3762no—
1531C2×D4—3762no—
1532C2×D4—1881no—
1533C2×D4—1881no—
1534C2×D4—1881no—
1535C2×D4—1884no—
1536C2×D4—1881no—
1537C2×D4—1881no—
1538C2×D4—1881no—
1539C2×D4—1884no—
1540C2×D4—1884no—
1541C2×D4—1884no—
1542C2×D4D4×D4711yescharacteristic
1543C2×D4C23×D4711yescharacteristic
1544C2×D4C23×D4711yescharacteristic
1545C22×C4—21no—
1546C22×C4—21no—
1547C22×C4—21no—
1548C22×C4—21no—
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—471no—
1552C22×C4—471no—
1553C22×C4—471no—
1554C22×C4—471no—
1555C22×C4—471no—
1556C22×C4—471no—
1557C22×C4—941no—
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—1881no—
1571C22×C4—1881no—
1572C22×C4—1884no—
1573C22×C4C23×D4711yescharacteristic
1574C22×C4C23×D4711yescharacteristic
1575Q16—1881no—
1576Q16—1881no—
1577Q16—1881no—
1578SD16—41no—
1579SD16—41no—
1580SD16—942no—
1581SD16—942no—
1582SD16—1881no—
1583SD16—1881no—
1584SD16—1881no—
1585SD16—1881no—
1586SD16—1881no—
1587SD16—1881no—
1588SD16—1881no—
1589SD16—1881no—
1590D8—22no—
1591D8—942no—
1592D8—942no—
1593D8—942no—
1594D8—942no—
1595D8—942no—
1596D8—1881no—
1597D8—1881no—
1598D8—1881no—
1599M16—41no—
1600M16—41no—
1601M16—1881no—
1602M16—1881no—
1603C2×C8—471no—
1604C2×C8—471no—
1605C2×C8—471no—
1606C2×C8—471no—
1607C2×C8—1881no—
1608C2×C8—1881no—
1609C2×C8—1881no—
1610C2×C8—1881no—
1611C2×C8C23×D4711yescharacteristic
1612C2×C8C23×D4711yescharacteristic
1613C2×C8C23×D4711yescharacteristic
1614C2×C8C23×D4711yescharacteristic
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—471no—
1623C4⋊C4—471no—
1624C4⋊C4—471no—
1625C4⋊C4—471no—
1626C4⋊C4—471no—
1627C4⋊C4—471no—
1628C4⋊C4—471no—
1629C4⋊C4—941no—
1630C4⋊C4—941no—
1631C4⋊C4—941no—
1632C4⋊C4—941no—
1633C4⋊C4—941no—
1634C4⋊C4—941no—
1635C4⋊C4—941no—
1636C4⋊C4—941no—
1637C4⋊C4—941no—
1638C4⋊C4—941no—
1639C4⋊C4—941no—
1640C4⋊C4—941no—
1641C4⋊C4D4×D4711yescharacteristic
1642C4⋊C4C23×D4711yescharacteristic
1643C4⋊C4C23×D4711yescharacteristic
1644C4⋊C4C23×D4711yescharacteristic
1645C4⋊C4C23×D4711yescharacteristic
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—471no—
1653C22⋊C4—471no—
1654C22⋊C4—471no—
1655C22⋊C4—471no—
1656C22⋊C4—471no—
1657C22⋊C4—471no—
1658C22⋊C4—471no—
1659C22⋊C4—471no—
1660C22⋊C4—941no—
1661C22⋊C4—941no—
1662C22⋊C4—941no—
1663C22⋊C4—941no—
1664C22⋊C4—941no—
1665C22⋊C4—941no—
1666C22⋊C4—941no—
1667C22⋊C4—941no—
1668C22⋊C4—941no—
1669C22⋊C4—941no—
1670C22⋊C4—941no—
1671C22⋊C4—941no—
1672C22⋊C4—941no—
1673C22⋊C4—941no—
1674C22⋊C4—941no—
1675C22⋊C4—941no—
1676C22⋊C4—941no—
1677C22⋊C4—941no—
1678C22⋊C4—941no—
1679C22⋊C4—941no—
1680C22⋊C4—941no—
1681C22⋊C4—941no—
1682C22⋊C4—941no—
1683C22⋊C4—941no—
1684C22⋊C4—941no—
1685C22⋊C4—941no—
1686C22⋊C4—941no—
1687C22⋊C4—941no—
1688C22⋊C4—941no—
1689C22⋊C4—941no—
1690C22⋊C4D4×D4711yescharacteristic
1691C22⋊C4D4×D4711yescharacteristic
1692C42—471no—
1693C42—941no—
1694C42—941no—
1695C42—941no—
1696C42—941no—
1697C42C23×D4711yescharacteristic
1698C23—21no—
1699C23—21no—
1700C23—471no—
1701C23—471no—
1702C23—471no—
1703C23—944no—
1704C23—941no—
1705C23—941no—
1706C23—941no—
1707C23—941no—
1708C23—3761no—
1709C23—3761no—
1710C23—3761no—
1711C23—3761no—
1712C23—3761no—
1713C23—3761no—
1714C23—3761no—
1715C23—3761no—
1716C23—3761no—
1717C23—3761no—
1718C23—3761no—
1719C23—1881no—
1720C23—1881no—
1721C23—1881no—
1722C23—1882no—
1723C23—1882no—
1724C23—1882no—
1725C23C2×D4×D4711yescharacteristic
1726C23C2×D4×D4711yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—21no—
1730Q8—21no—
1731Q8—81no—
1732Q8—941no—
1733Q8—941no—
1734Q8—941no—
1735Q8—941no—
1736Q8—1881no—
1737Q8—1882no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—41no—
1742D4—42no—
1743D4—42no—
1744D4—42no—
1745D4—81no—
1746D4—472no—
1747D4—944no—
1748D4—941no—
1749D4—941no—
1750D4—941no—
1751D4—941no—
1752D4—941no—
1753D4—941no—
1754D4—941no—
1755D4—3761no—
1756D4—3761no—
1757D4—3761no—
1758D4—3761no—
1759D4—3761no—
1760D4—3761no—
1761D4—3761no—
1762D4—3761no—
1763D4—3761no—
1764D4—3761no—
1765D4—3761no—
1766D4—3761no—
1767D4—3761no—
1768D4—3761no—
1769D4—3761no—
1770D4—1881no—
1771D4—1881no—
1772D4—1882no—
1773D4—1882no—
1774D4—1882no—
1775D4—1882no—
1776D4—1881no—
1777D4—1881no—
1778D4—1881no—
1779D4—1881no—
1780D4—1882no—
1781D4—1882no—
1782D4—1882no—
1783D4#1309407012yes—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—42no—
1795C2×C4—42no—
1796C2×C4—42no—
1797C2×C4—81no—
1798C2×C4—81no—
1799C2×C4—81no—
1800C2×C4—471no—
1801C2×C4—471no—
1802C2×C4—471no—
1803C2×C4—471no—
1804C2×C4—471no—
1805C2×C4—941no—
1806C2×C4—941no—
1807C2×C4—941no—
1808C2×C4—941no—
1809C2×C4—941no—
1810C2×C4—941no—
1811C2×C4—941no—
1812C2×C4—941no—
1813C2×C4—941no—
1814C2×C4—941no—
1815C2×C4—3761no—
1816C2×C4—3761no—
1817C2×C4—3761no—
1818C2×C4—3761no—
1819C2×C4—3761no—
1820C2×C4—3761no—
1821C2×C4—3761no—
1822C2×C4—1881no—
1823C2×C4—1881no—
1824C2×C4—1882no—
1825C2×C4—1882no—
1826C2×C4—1882no—
1827C2×C4—1882no—
1828C2×C4—1882no—
1829C2×C4—1881no—
1830C2×C4—1882no—
1831C2×C4C2×D4×D4711yescharacteristic
1832C2×C4C2×D4×D4711yescharacteristic
1833C2×C4C2×D4×D4711yescharacteristic
1834C2×C4C2×D4×D4711yescharacteristic
1835C2×C4C24×D4711yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—941no—
1841C8—941no—
1842C8—941no—
1843C8—941no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—22no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—941no—
1857C22—941no—
1858C22—941no—
1859C22—941no—
1860C22—941no—
1861C22—941no—
1862C22—941no—
1863C22—941no—
1864C22—941no—
1865C22—942no—
1866C22—3764no—
1867C22—3762no—
1868C22—1881no—
1869C22—1881no—
1870C22—1881no—
1871C22—1881no—
1872C22—1881no—
1873C22—1881no—
1874C22—1881no—
1875C22—1881no—
1876C22—1881no—
1877C22—1881no—
1878C22—1881no—
1879C22—7522no—
1880C22—7522no—
1881C22—7522no—
1882C22—7522no—
1883C22C22×D4×D4711yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—21no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—941no—
1895C4—941no—
1896C4—941no—
1897C4—941no—
1898C4—941no—
1899C4—1881no—
1900C4—1881no—
1901C4—1881no—
1902C4—1881no—
1903C4H(5,𝔽2)×D4711yescharacteristic
1904C4C2×#1309407011yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—42no—
1908C2—81no—
1909C2—3761no—
1910C2—3761no—
1911C2—3761no—
1912C2—1881no—
1913C2—1881no—
1914C2—1881no—
1915C2—1882no—
1916C2#2025701811yescharacteristic
1917C2#2025815811yescharacteristic
1918C2#2025816411yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3330C2
socleC22×C47C23×D4
hypercenter#3330D47
hypocenterC47#61614
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3330

Complements

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

NH ≅ G/Ntype
1. #20257705C2semidirect
2. #20257027C2semidirect
3. #20255605C2semidirect
4. #20255541C2semidirect
5. #20255487C2semidirect
6. #20255365C2semidirect
7. #20255343C2semidirect
8. #20255315C2semidirect
9. #20255236C2semidirect
10. #20255116C2semidirect
11. #20255074C2semidirect
12. #20255000C2semidirect
13. #20254985C2semidirect
14. #20254935C2semidirect
15. #20254919C2semidirect
16. #20254914C2semidirect
17. #20254871C2semidirect
18. #20254500C2semidirect
19. #20254448C2semidirect
20. #20254275C2semidirect
21. #20254256C2semidirect
22. #20254226C2semidirect
23. #20254158C2semidirect
24. #20253628C2semidirect
25. #20253579C2semidirect
26. #20252694C2semidirect
27. #20252653C2semidirect
28. #20252641C2semidirect
29. #20252603C2semidirect
30. #20252432C2semidirect
31. C47×#3330C2semidirect
32. C2×#13094070C22semidirect
33. C2×#41×D47C22semidirect
34. C2×#13094052C22semidirect
35. C2×#13094052C22semidirect
36. C2×#13094051C22semidirect
37. C2×#13094049C22semidirect
38. C2×#13094045C22semidirect
39. C2×#13094044C22semidirect
40. C2×#13094043C22semidirect
41. C2×D8×D47C22semidirect
44. #15689839C22semidirect
45. #15689821C22semidirect
46. #15689808C22semidirect
48. #15689791C22semidirect
49. #15689776C22semidirect
52. #15689772C22semidirect
54. #15689769C22semidirect
55. #15689769C22semidirect
56. #15689768C22semidirect
57. #15689768C22semidirect
59. #15689764C22semidirect
63. #15689757C22semidirect
64. #15689747C22semidirect
66. #15689724C22semidirect
69. #15689698C22semidirect
70. #15689696C22semidirect
76. #15689636C22semidirect
77. #15689633C22semidirect
81. C2×#13093999C22semidirect
82. #15689595C22semidirect
83. #15689515C22semidirect
84. #15689509C22semidirect
85. #15689507C22semidirect
86. #15689494C22semidirect
87. #15689490C22semidirect
88. #15689485C22semidirect
89. #15689479C22semidirect
90. #15689466C22semidirect
91. #15689466C22semidirect
92. #15689463C22semidirect
93. #15689463C22semidirect
94. #15689453C22semidirect
95. #15689450C22semidirect
96. #15689450C22semidirect
97. #15689450C22semidirect
98. #15689445C22semidirect
99. #15689441C22semidirect
100. #15689426C22semidirect
101. #15689421C22semidirect
102. #15689410C22semidirect
103. #15689380C22semidirect
104. #15689379C22semidirect
105. #15689374C22semidirect
106. #15689370C22semidirect
107. #15689369C22semidirect
108. #15689369C22semidirect
109. #15689365C22semidirect
110. #15689360C22semidirect
111. #15689360C22semidirect
112. #15689355C22semidirect
113. #15689355C22semidirect
114. #15689355C22semidirect
115. #15689354C22semidirect
116. #15689350C22semidirect
117. #15689348C22semidirect
118. #15689341C22semidirect
119. #15689339C22semidirect
120. #15689339C22semidirect
121. #15689338C22semidirect
122. #15689338C22semidirect
123. #15689332C22semidirect
124. #15689327C22semidirect
125. #15689325C22semidirect
126. #15689317C22semidirect
127. #15689316C22semidirect
128. #15689288C22semidirect
129. #15689288C22semidirect
130. #15689287C22semidirect
131. #15689287C22semidirect
132. #15689285C22semidirect
133. #15689283C22semidirect
134. #15689282C22semidirect
135. #15689280C22semidirect
136. #15689275C22semidirect
137. #15689275C22semidirect
138. #15689275C22semidirect
139. #15689273C22semidirect
140. #15689272C22semidirect
142. #15689271C22semidirect
143. #15689271C22semidirect
144. #15689271C22semidirect
145. #15689271C22semidirect
146. #15689269C22semidirect
147. #15689269C22semidirect
148. #15689269C22semidirect
149. #15689268C22semidirect
150. #15689267C22semidirect
151. #15689266C22semidirect
152. #15689263C22semidirect
153. #15689263C22semidirect
154. #15689260C22semidirect
155. #15689259C22semidirect
156. #15689259C22semidirect
158. #15689258C22semidirect
159. #15689258C22semidirect
160. #15689256C22semidirect
161. #15689255C22semidirect
162. #15689233C22semidirect
163. #15689233C22semidirect
164. #15689232C22semidirect
165. #15689222C22semidirect
166. #15689214C22semidirect
167. C4×D376C22semidirect
168. #15689205C22semidirect
169. #15689199C22semidirect
170. #15689197C22semidirect
171. #15689195C22semidirect
172. #15689193C22semidirect
173. #15689192C22semidirect
174. C8×D188C22semidirect
175. (C22⋊D47)⋊C8C22semidirect
176. #15689183C22semidirect
177. #15689182C22semidirect
178. #15689126C22semidirect
179. #15689122C22semidirect
180. #15689118C22semidirect
181. #15689118C22semidirect
182. #15689116C22semidirect
183. C2×#13093944C22semidirect
184. #15689091C22semidirect
185. #15689088C22semidirect
186. #15689086C22semidirect
187. C22⋊C8×D47C22semidirect
188. C47×#547C22semidirect
189. C47×#547C22semidirect
190. C47×#487C22semidirect
191. C47×#484C22semidirect
192. C47×#484C22semidirect
193. C47×#474C22semidirect
194. C47×#468C22semidirect
195. C47×#468C22semidirect
196. C47×#461C22semidirect
197. C47×#449C22semidirect
198. C47×#449C22semidirect
199. C4×D8×C47C22semidirect
200. C47×#436C22semidirect
201. C47×#417C22semidirect
202. C47×#417C22semidirect
948. #3330D47semidirect
1013. #547C2×D47semidirect
1014. #547C2×D47semidirect
1051. #487C2×D47semidirect
1056. #484C2×D47semidirect
1057. #484C2×D47semidirect
1067. #474C2×D47semidirect
1074. #468C2×D47semidirect
1075. #468C2×D47semidirect
1093. #461C2×D47semidirect
1120. #449C2×D47semidirect
1121. #449C2×D47semidirect
1139. C4×D8C2×D47semidirect
1141. #436C2×D47semidirect
1152. #417C2×D47semidirect
1153. #417C2×D47semidirect
1162. C47#61614semidirect

Maximal subgroups

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

subgroupindex
#202577052
#202570272
#202556052
#202555412
#202554872
#202553652
#202553432
#202553152
#202552362
#202551162
#202550742
#202550002
#202549852
#202549352
#202549192
#202549142
#202548712
#202545002
#202544482
#202542752
#202542562
#202542262
#202541582
#202536282
#202535792
#202526942
#202526532
#202526412
#202526032
#202524322
C47×#33302
#6161447