Finite Group Databasebeta

← #27103318

Subgroups — #27103318

Order 12032.

2224 conjugacy classes of subgroups.

The subgroup lattice has 1986 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257791C211yesmaximal, characteristic, complemented
2#20257151C211yesmaximal, characteristic, complemented
3#20255628C211yesmaximal, characteristic, complemented
4#20255625C211yesmaximal, characteristic, complemented
5#20255550C211yesmaximal, characteristic, complemented
6#20255547C211yesmaximal, characteristic, complemented
7#20255542C211yesmaximal, characteristic, complemented
8#20255539C211yesmaximal, characteristic, complemented
9#20255314C211yesmaximal, characteristic, complemented
10#20255311C211yesmaximal, characteristic, complemented
11#20255062C211yesmaximal, characteristic, complemented
12#20255058C211yesmaximal, characteristic, complemented
13#20254986C211yesmaximal, characteristic, complemented
14#20254985C211yesmaximal, characteristic, complemented
15#20254875C211yesmaximal, characteristic, complemented
16#20254872C211yesmaximal, characteristic, complemented
17#20254866C211yesmaximal, characteristic, complemented
18#20254865C211yesmaximal, characteristic, complemented
19#20254380C211yesmaximal, characteristic, complemented
20#20254319C211yesmaximal, characteristic, complemented
21#20254247C211yesmaximal, characteristic, complemented
22#20254245C211yesmaximal, characteristic, complemented
23#20254234C211yesmaximal, characteristic, complemented
24#20253476C211yesmaximal, characteristic, complemented
25#20253385C211yesmaximal, characteristic, complemented
26#20252658C211yesmaximal, characteristic, complemented
27#20252654C211yesmaximal, characteristic, complemented
28#20252653C211yesmaximal, characteristic, complemented
29#20252653C211yesmaximal, characteristic, complemented
30#20252461C211yesmaximal, characteristic, complemented
31C47×#3198C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic, complemented
33C2×#13094070C2211yescharacteristic, complemented
34C2×#13094052C2211yescharacteristic, complemented
35C2×#13094051C2211yescharacteristic, complemented
36C2×#13094051C2211yescharacteristic, complemented
37C2×#13094050C2211yescharacteristic, complemented
38C22×D376C2211yescharacteristic, complemented
39C22×#10625334C2211yescharacteristic, complemented
40C2×D8×D47C2211yescharacteristic, complemented
41C2×D8×D47C2211yescharacteristic, complemented
42#15689866—21no—
43#15689865—21no—
44#15689837C2211yescharacteristic, complemented
45#15689837C2211yescharacteristic, complemented
46#15689836C2211yescharacteristic, complemented
47#15689836C2211yescharacteristic, complemented
48#15689835—21no—
49#15689775—21no—
50#15689775C2211yescharacteristic, complemented
51#15689775C2211yescharacteristic, complemented
52#15689770—21no—
53#15689770C2211yescharacteristic, complemented
54#15689770C2211yescharacteristic, complemented
55#15689764—21no—
56#15689764C2211yescharacteristic, complemented
57#15689764C2211yescharacteristic, complemented
58#15689757—21no—
59#15689757C2211yescharacteristic, complemented
60#15689757C2211yescharacteristic, complemented
61#15689757C2211yescharacteristic, complemented
62#15689757C2211yescharacteristic, complemented
63D4×C22⋊D47C2211yescharacteristic, complemented
64D4×C22⋊D47C2211yescharacteristic, complemented
65#15689755—21no—
66#15689704C2211yescharacteristic, complemented
67#15689689C2211yescharacteristic, complemented
68#15689689C2211yescharacteristic, complemented
69#15689688—21no—
70#15689688—21no—
71#15689687C2211yescharacteristic, complemented
72#15689686—21no—
73#15689686—21no—
74#15689681—21no—
75#15689681—21no—
76#15689669C2211yescharacteristic
77#15689669C2211yescharacteristic, complemented
78#15689668C2211yescharacteristic, complemented
79#15689668C2211yescharacteristic, complemented
80#121×D47—21no—
81#121×D47—21no—
82C2×#13093986C2211yescharacteristic, complemented
83#15689511C2211yescharacteristic, complemented
84#15689509C2211yescharacteristic, complemented
85#15689498C2211yescharacteristic, complemented
86#15689494C2211yescharacteristic, complemented
87#15689484C2211yescharacteristic, complemented
88#15689481C2211yescharacteristic, complemented
89#15689472C2211yescharacteristic, complemented
90#15689468C2211yescharacteristic, complemented
91#15689467C2211yescharacteristic, complemented
92#15689466C2211yescharacteristic, complemented
93#15689461C2211yescharacteristic, complemented
94#15689450C2211yescharacteristic, complemented
95#15689449C2211yescharacteristic, complemented
96#15689444C2211yescharacteristic, complemented
97#15689441C2211yescharacteristic, complemented
98#15689436C2211yescharacteristic, complemented
99#15689412C2211yescharacteristic, complemented
100#15689412C2211yescharacteristic, complemented
101#15689402C2211yescharacteristic, complemented
102#15689402C2211yescharacteristic, complemented
103#15689377C2211yescharacteristic, complemented
104#15689375C2211yescharacteristic, complemented
105#15689374C2211yescharacteristic, complemented
106#15689371C2211yescharacteristic, complemented
107#15689370C2211yescharacteristic, complemented
108#15689368C2211yescharacteristic, complemented
109#15689360C2211yescharacteristic, complemented
110#15689358C2211yescharacteristic, complemented
111#15689357C2211yescharacteristic, complemented
112#15689354C2211yescharacteristic, complemented
113#15689353C2211yescharacteristic, complemented
114#15689351C2211yescharacteristic, complemented
115#15689341C2211yescharacteristic, complemented
116#15689340C2211yescharacteristic, complemented
117#15689337C2211yescharacteristic, complemented
118#15689336C2211yescharacteristic, complemented
119#15689327C2211yescharacteristic, complemented
120#15689326C2211yescharacteristic, complemented
121#15689317C2211yescharacteristic, complemented
122#15689317C2211yescharacteristic, complemented
123#15689317C2211yescharacteristic, complemented
124#15689317C2211yescharacteristic, complemented
125#15689317C2211yescharacteristic, complemented
126#15689316C2211yescharacteristic, complemented
127#15689275C2211yescharacteristic, complemented
128#15689275C2211yescharacteristic, complemented
129#15689273C2211yescharacteristic, complemented
130#15689271C2211yescharacteristic, complemented
131#15689271C2211yescharacteristic, complemented
132#15689270C2211yescharacteristic, complemented
133#15689270C2211yescharacteristic, complemented
134#15689270C2211yescharacteristic, complemented
135#15689270C2211yescharacteristic, complemented
136#15689268C2211yescharacteristic, complemented
137#15689268C2211yescharacteristic, complemented
138#15689267C2211yescharacteristic, complemented
139#15689267C2211yescharacteristic, complemented
140#15689266C2211yescharacteristic, complemented
141#15689266C2211yescharacteristic, complemented
142#15689266C2211yescharacteristic, complemented
143#15689266C2211yescharacteristic, complemented
144#15689259C2211yescharacteristic, complemented
145#15689259C2211yescharacteristic, complemented
146#15689259C2211yescharacteristic, complemented
147#15689259C2211yescharacteristic, complemented
148#15689258C2211yescharacteristic, complemented
149#15689258C2211yescharacteristic, complemented
150#15689258C2211yescharacteristic, complemented
151#15689258C2211yescharacteristic, complemented
152#15689256C2211yescharacteristic, complemented
153#15689256C2211yescharacteristic, complemented
154#15689256C2211yescharacteristic, complemented
155#15689256C2211yescharacteristic, complemented
156#15689256C2211yescharacteristic, complemented
157#15689255C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689234C2211yescharacteristic, complemented
160#15689234C2211yescharacteristic, complemented
161#15689232C2211yescharacteristic, complemented
162#15689232C2211yescharacteristic, complemented
163#15689205C2211yescharacteristic, complemented
164#15689205C2211yescharacteristic, complemented
165#15689203C2211yescharacteristic, complemented
166#15689203C2211yescharacteristic, complemented
167#15689199C2211yescharacteristic, complemented
168#15689198C2211yescharacteristic, complemented
169#15689197C2211yescharacteristic, complemented
170#15689194C2211yescharacteristic, complemented
171#15689192C2211yescharacteristic, complemented
172#15689191C2211yescharacteristic, complemented
173C8×C22⋊D47C2211yescharacteristic, complemented
174(C22⋊D47)⋊C8C2211yescharacteristic, complemented
175#15689177C2211yescharacteristic, complemented
176#15689173C2211yescharacteristic, complemented
177#15689129C2211yescharacteristic, complemented
178#15689127C2211yescharacteristic, complemented
179#15689126C2211yescharacteristic, complemented
180#15689126C2211yescharacteristic, complemented
181#15689120C2211yescharacteristic, complemented
182#15689118C2211yescharacteristic, complemented
183#15689118C2211yescharacteristic, complemented
184#15689117C2211yescharacteristic, complemented
185#15689090C2211yescharacteristic, complemented
186#15689088C2211yescharacteristic, complemented
187#15689088C2211yescharacteristic, complemented
188C47×#537C2211yescharacteristic, complemented
189C47×#535C2211yescharacteristic, complemented
190C47×#485C2211yescharacteristic, complemented
191C47×#482C2211yescharacteristic, complemented
192C47×#481C2211yescharacteristic, complemented
193C47×#480C2211yescharacteristic, complemented
194C47×#469C2211yescharacteristic, complemented
195C47×#468C2211yescharacteristic, complemented
196C47×#466C2211yescharacteristic, complemented
197C47×#465C2211yescharacteristic, complemented
198C47×#450C2211yescharacteristic, complemented
199C47×#449C2211yescharacteristic, complemented
200C47×#449C2211yescharacteristic, complemented
201C47×#447C2211yescharacteristic, complemented
202C47×#408C2211yescharacteristic, complemented
203#13094070—42no—
204#13094070—42no—
205#13094070—42no—
206#13094070—42no—
207C2×#10625354—21no—
208C2×#10625354C2311yescharacteristic
209C2×#10625354C2311yescharacteristic
210C2×#10625350—21no—
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×#10625350C2311yescharacteristic
214C2×#10625350C2311yescharacteristic
215C2×#10625352—21no—
216C2×#10625352—21no—
217C22×D188—21no—
218C22×D188C2311yescharacteristic
219C22×D188C2311yescharacteristic
220C22×D188C2311yescharacteristic
221C22×D188C2311yescharacteristic
222C22×C22⋊D47—21no—
223C22×C22⋊D47—21no—
224C2×D4×D47—21no—
225C2×D4×D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47—21no—
228C2×D4×D47—21no—
229C2×D4×D47—21no—
230C2×D4×D47—21no—
231C2×D4×D47—21no—
232C2×D4×D47—21no—
233C2×D4×D47C2311yescharacteristic
234C2×D4×D47C2311yescharacteristic
235C2×D4×D47C2311yescharacteristic
236C2×D4×D47C2311yescharacteristic
237C22×C4×D47—21no—
238#13094052—42no—
239#13094051—42no—
240#13094051—42no—
241#13094050—42no—
242C2×#10625325C2311yescharacteristic
243C2×#10625325C2311yescharacteristic
244C2×#10625335C2311yescharacteristic
245C2×#10625335C2311yescharacteristic
246C2×#10625336C2311yescharacteristic
247C2×#10625336C2311yescharacteristic
248C2×D376—42no—
249C2×D376C2311yescharacteristic
250C2×D376C2311yescharacteristic
251C2×D376C2311yescharacteristic
252C2×D376C2311yescharacteristic
253C2×D376C2311yescharacteristic
254C2×D376C2311yescharacteristic
255C2×#10625334—42no—
256C2×#10625334C2311yescharacteristic
257C2×#10625334C2311yescharacteristic
258C2×#10625334C2311yescharacteristic
259C2×#10625334C2311yescharacteristic
260C2×#10625334C2311yescharacteristic
261C2×#10625334C2311yescharacteristic
262C2×#10625334C2311yescharacteristic
263C2×#10625334C2311yescharacteristic
264D8×D47—42no—
265D8×D47—42no—
266C2×#10625329C2311yescharacteristic
267C2×#10625324C2311yescharacteristic
268C2×#10625324C2311yescharacteristic
269C22×C47⋊C8C2311yescharacteristic
270C2×C8×D47C2311yescharacteristic
271C2×C8×D47C2311yescharacteristic
272#13094023C2311yescharacteristic
273#13094023C2311yescharacteristic
274#13094022D411yescharacteristic
275#13094022C2311yescharacteristic
276#13094020—21no—
277#13094020—21no—
278#13094020—21no—
279#13094020D411yescharacteristic
280#13094020C2311yescharacteristic
281#13094020C2311yescharacteristic
282#13094020C2311yescharacteristic
283#13094013—21no—
284#13094013D411yescharacteristic
285#13094013C2311yescharacteristic
286#13094012—21no—
287#13094012—21no—
288#13094011—21no—
289#13094011—21no—
290#13094011D411yescharacteristic
291#13094011C2311yescharacteristic
292#13094010—21no—
293#13094010—21no—
294#13094010—21no—
295#13094010—21no—
296#13094010—21no—
297#13094010—21no—
298#13094010—21no—
299#13094010—21no—
300#13094009—21no—
301#13094009—21no—
302#13094009—21no—
303#13094009—21no—
304#13094006—21no—
305#13094006—21no—
306#13094006—21no—
307#13094006—21no—
308#13094004—21no—
309#13094004C2311yescharacteristic
310#13094004C2311yescharacteristic
311#13093999—21no—
312#13093999—21no—
313#13093999—21no—
314#13093999C2311yescharacteristic
315#13093999C2311yescharacteristic
316#13093999C2311yescharacteristic
317#13093999C2311yescharacteristic
318#13093998—21no—
319#13093998—21no—
320#13093998C2311yescharacteristic
321#13093998C2311yescharacteristic
322#13093998C2311yescharacteristic
323#13093998C2311yescharacteristic
324#13093997—21no—
325#13093997—21no—
326#13093997—21no—
327#13093997—21no—
328#13093997—21no—
329#13093997—21no—
330#13093997—21no—
331#13093997—21no—
332#13093996—21no—
333#13093996—21no—
334#13093996—21no—
335#13093996—21no—
336#13093996—21no—
337#13093996—21no—
338#13093996—21no—
339#13093996—21no—
340#13093996D411yescharacteristic
341#13093996D411yescharacteristic
342#13093996D411yescharacteristic
343#13093996D411yescharacteristic
344#13093995—21no—
345#13093995—21no—
346#13093995C2311yescharacteristic
347#13093995C2311yescharacteristic
348#13093994—21no—
349#13093994—21no—
350#13093994—21no—
351#13093994—21no—
352#13093994—21no—
353#13093994—21no—
354#13093994—21no—
355#13093994—21no—
356#13093993—21no—
357#13093993—21no—
358#13093992—21no—
359#13093992—21no—
360#13093992—21no—
361#13093992—21no—
362#13093992—21no—
363#13093992—21no—
364#13093992—21no—
365#13093992—21no—
366#13093992—21no—
367#13093992—21no—
368#13093992—21no—
369#13093992—21no—
370D4×Dic47C2311yescharacteristic
371D4×Dic47C2311yescharacteristic
372#13093986—21no—
373#13093986—21no—
374#13093986C2311yescharacteristic
375#13093986C2311yescharacteristic
376#13093986C2311yescharacteristic
377#13093986C2311yescharacteristic
378#13093986C2311yescharacteristic
379#13093986C2311yescharacteristic
380C4×C22⋊D47—21no—
381C4×C22⋊D47—21no—
382C4×C22⋊D47C2311yescharacteristic
383C4×C22⋊D47C2311yescharacteristic
384C4×C22⋊D47C2311yescharacteristic
385C4×C22⋊D47C2311yescharacteristic
386(C22⋊D47)⋊C4—21no—
387(C22⋊D47)⋊C4—21no—
388#13093983C2311yescharacteristic
389#13093982C2311yescharacteristic
390#13093982C2311yescharacteristic
391#13093981—21no—
392#13093981—21no—
393#13093980—21no—
394#13093980—21no—
395C4⋊C4×D47—21no—
396C4⋊C4×D47—21no—
397C2×(C2×D47)⋊C4—21no—
398C22⋊C4×D47—21no—
399C22⋊C4×D47—21no—
400C22⋊C4×D47—21no—
401C22⋊C4×D47—21no—
402C2×C4×Dic47C2311yescharacteristic
403#13093957C2311yescharacteristic
404#13093957C2311yescharacteristic
405#13093955C2311yescharacteristic
406#13093955C2311yescharacteristic
407Dic47⋊C8C2311yescharacteristic
408Dic47⋊C8C2311yescharacteristic
409Dic47⋊C8C2311yescharacteristic
410Dic47⋊C8C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093944C2311yescharacteristic
426#13093944C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432#13093944C2311yescharacteristic
433#13093944C2311yescharacteristic
434#13093944C2311yescharacteristic
435C22⋊(C47⋊C8)C2311yescharacteristic
436C22⋊(C47⋊C8)C2311yescharacteristic
437C22⋊(C47⋊C8)C2311yescharacteristic
438C22⋊(C47⋊C8)C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441(C2×D47)⋊C8C2311yescharacteristic
442(C2×D47)⋊C8C2311yescharacteristic
443#13093934C2311yescharacteristic
444#13093934C2311yescharacteristic
445C8×Dic47C2311yescharacteristic
446C8×Dic47C2311yescharacteristic
447C2×#41×C47C2311yescharacteristic
448C2×#41×C47C2311yescharacteristic
449C22×D4×C47C2311yescharacteristic
450C2×SD16×C47C2311yescharacteristic
451C2×SD16×C47C2311yescharacteristic
452C2×D8×C47C2311yescharacteristic
453C2×D8×C47C2311yescharacteristic
454C2×M16×C47C2311yescharacteristic
455C22×C8×C47C2311yescharacteristic
456#127×C47—21no—
457#124×C47—21no—
458C22⋊Q8×C47—21no—
459C22⋊Q8×C47C2311yescharacteristic
460C22⋊Q8×C47C2311yescharacteristic
461#121×C47—21no—
462#121×C47—21no—
463#121×C47—21no—
464#121×C47C2311yescharacteristic
465#121×C47C2311yescharacteristic
466#121×C47C2311yescharacteristic
467#121×C47C2311yescharacteristic
468#121×C47C2311yescharacteristic
469#121×C47C2311yescharacteristic
470#120×C47—21no—
471#120×C47—21no—
472#117×C47C2311yescharacteristic
473C2×C4⋊C4×C47C2311yescharacteristic
474#107×C47C2311yescharacteristic
475#107×C47C2311yescharacteristic
476#106×C47C2311yescharacteristic
477#106×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481#102×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486C22⋊C8×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489C22⋊C8×C47C2311yescharacteristic
490C24×C47—21no—
491C23×D47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C23×D47—21no—
497C23×D47—21no—
498C23×D47—21no—
499#41×C47—41no—
500#41×C47—41no—
501#41×C47—41no—
502#41×C47—41no—
503C2×Q8×C47C2×D411yescharacteristic
504C2×Q8×C47C2411yescharacteristic
505C2×D4×C47—21no—
506C2×D4×C47—21no—
507C2×D4×C47—21no—
508C2×D4×C47—21no—
509C2×D4×C47—21no—
510C2×D4×C47—21no—
511C2×D4×C47—21no—
512C2×D4×C47—21no—
513C2×D4×C47—41no—
514C2×D4×C47—41no—
515C2×D4×C47C2×D411yescharacteristic
516C2×D4×C47C2×D411yescharacteristic
517C2×D4×C47C2×D411yescharacteristic
518C2×D4×C47C2411yescharacteristic
519C2×D4×C47C2411yescharacteristic
520C2×D4×C47C2411yescharacteristic
521C22×C4×C47—21no—
522C22×C4×C47—21no—
523C22×C4×C47C2411yescharacteristic
524C22×C4×C47C2411yescharacteristic
525C22×C4×C47C2411yescharacteristic
526C2×C22⋊D47—21no—
527C2×C22⋊D47—21no—
528C2×C22⋊D47—21no—
529C2×C22⋊D47—21no—
530C2×C22⋊D47—21no—
531C2×C22⋊D47—21no—
532C2×C22⋊D47—21no—
533C2×C22⋊D47—21no—
534C2×C22⋊D47—21no—
535C2×C22⋊D47—21no—
536C2×C22⋊D47—21no—
537C2×C22⋊D47—21no—
538C2×C22⋊D47—21no—
539C2×C22⋊D47—21no—
540C2×C22⋊D47—21no—
541C2×C22⋊D47—21no—
542C2×C22⋊D47—21no—
543C2×C22⋊D47—21no—
544C2×C22⋊D47—21no—
545C2×C22⋊D47—82no—
546C2×C22⋊D47—82no—
547C2×C22⋊D47C2×D411yescharacteristic
548C2×C22⋊D47C2×D411yescharacteristic
549C2×C22⋊D47C2×D411yescharacteristic
550C2×C22⋊D47C2×D411yescharacteristic
551C2×C22⋊D47C2×D411yescharacteristic
552C2×C22⋊D47C2×D411yescharacteristic
553C22×Dic47—21no—
554C22×Dic47—21no—
555C22×Dic47C2×D411yescharacteristic
556C22×Dic47C2×D411yescharacteristic
557#10625354—22no—
558#10625354—22no—
559#10625354—41no—
560#10625354—41no—
561#10625354—44no—
562#10625352—82no—
563#10625352—82no—
564D4×D47—22no—
565D4×D47—22no—
566D4×D47—41no—
567D4×D47—41no—
568D4×D47—41no—
569D4×D47—41no—
570D4×D47—41no—
571D4×D47—41no—
572D4×D47—44no—
573D4×D47—44no—
574D4×D47—44no—
575D4×D47—44no—
576D4×D47—44no—
577D4×D47—82no—
578D4×D47—82no—
579D4×D47—82no—
580D4×D47—82no—
581#10625350—22no—
582#10625350—22no—
583#10625350—41no—
584#10625350—41no—
585#10625350—41no—
586#10625350—41no—
587#10625350—41no—
588#10625350—41no—
589#10625350—44no—
590C2×D188—21no—
591C2×D188—22no—
592C2×D188—22no—
593C2×D188—22no—
594C2×D188—22no—
595C2×D188—21no—
596C2×D188—21no—
597C2×D188—21no—
598C2×D188—21no—
599C2×D188—21no—
600C2×D188—21no—
601C2×D188—21no—
602C2×D188—21no—
603C2×D188—21no—
604C2×D188—41no—
605C2×D188—41no—
606C2×D188—41no—
607C2×D188—41no—
608C2×D188—44no—
609C2×D188C2×D411yescharacteristic
610C2×D188C2411yescharacteristic
611C2×D188C2411yescharacteristic
612C2×D188C2411yescharacteristic
613C2×D188C2411yescharacteristic
614C2×D188C2411yescharacteristic
615C2×C4×D47—21no—
616C2×C4×D47—21no—
617C2×C4×D47—21no—
618C2×C4×D47—21no—
619C2×C4×D47—21no—
620C2×C4×D47—21no—
621C2×C4×D47—21no—
622C2×C4×D47—21no—
623C2×C4×D47—21no—
624C2×C4×D47—21no—
625C2×C4×D47—21no—
626C2×C4×D47—82no—
627C2×C4×D47C2411yescharacteristic
628C2×C4×D47C2411yescharacteristic
629C2×Dic94—21no—
630C2×Dic94—21no—
631C2×Dic94C2×D411yescharacteristic
632C2×Dic94C2411yescharacteristic
633SD16×C47—41no—
634SD16×C47—41no—
635D8×C47—41no—
636D8×C47—41no—
637M16×C47—41no—
638C2×C8×C47—41no—
639C2×C8×C47C2411yescharacteristic
640C2×C8×C47C2411yescharacteristic
641C2×C8×C47C2411yescharacteristic
642C2×C8×C47C2411yescharacteristic
643C4⋊C4×C47—21no—
644C4⋊C4×C47—21no—
645C4⋊C4×C47—21no—
646C4⋊C4×C47C2411yescharacteristic
647C4⋊C4×C47C2411yescharacteristic
648C4⋊C4×C47C2411yescharacteristic
649C4⋊C4×C47C2411yescharacteristic
650C22⋊C4×C47—21no—
651C22⋊C4×C47—21no—
652C22⋊C4×C47—21no—
653C22⋊C4×C47—21no—
654C22⋊C4×C47—21no—
655C22⋊C4×C47—21no—
656C22⋊C4×C47—21no—
657C22⋊C4×C47—21no—
658C22⋊C4×C47—21no—
659C42×C47—21no—
660C22⋊Dic47—21no—
661C22⋊Dic47—21no—
662C22⋊Dic47—21no—
663C22⋊Dic47—21no—
664C22⋊Dic47—21no—
665C22⋊Dic47—21no—
666C22⋊Dic47—21no—
667C22⋊Dic47C2×D411yescharacteristic
668C22⋊Dic47C2×D411yescharacteristic
669C22⋊Dic47C2×D411yescharacteristic
670C22⋊Dic47C2×D411yescharacteristic
671#10625336—41no—
672#10625336—41no—
673#10625335—41no—
674#10625335—41no—
675#10625334—22no—
676#10625334—22no—
677#10625334—22no—
678#10625334—22no—
679#10625334—41no—
680#10625334—41no—
681#10625334—41no—
682#10625334—41no—
683(C2×D47)⋊C4—21no—
684(C2×D47)⋊C4—21no—
685(C2×D47)⋊C4—21no—
686(C2×D47)⋊C4—21no—
687(C2×D47)⋊C4—21no—
688(C2×D47)⋊C4—21no—
689(C2×D47)⋊C4—21no—
690(C2×D47)⋊C4—21no—
691(C2×D47)⋊C4—21no—
692(C2×D47)⋊C4—21no—
693(C2×D47)⋊C4—21no—
694(C2×D47)⋊C4—21no—
695(C2×D47)⋊C4—21no—
696(C2×D47)⋊C4—21no—
697(C2×D47)⋊C4—21no—
698(C2×D47)⋊C4—21no—
699(C2×D47)⋊C4—21no—
700(C2×D47)⋊C4—21no—
701(C2×D47)⋊C4—21no—
702(C2×D47)⋊C4—21no—
703(C2×D47)⋊C4C2×D411yescharacteristic
704(C2×D47)⋊C4C2×D411yescharacteristic
705(C2×D47)⋊C4C2×D411yescharacteristic
706(C2×D47)⋊C4C2×D411yescharacteristic
707C4⋊Dic47—21no—
708C4⋊Dic47—21no—
709C4⋊Dic47C2411yescharacteristic
710C4⋊Dic47C2411yescharacteristic
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4—21no—
714Dic47⋊C4—21no—
715Dic47⋊C4C2×D411yescharacteristic
716Dic47⋊C4C2×D411yescharacteristic
717Dic47⋊C4C2×D411yescharacteristic
718Dic47⋊C4C2×D411yescharacteristic
719C4×Dic47—21no—
720C4×Dic47—21no—
721C4×Dic47—21no—
722C4×Dic47C2×D411yescharacteristic
723C4×Dic47C2×D411yescharacteristic
724C4×Dic47C2411yescharacteristic
725C4×Dic47C2411yescharacteristic
726#10625329—41no—
727C2×C47⋊C8—41no—
728C2×C47⋊C8C2411yescharacteristic
729C2×C47⋊C8C2411yescharacteristic
730C2×C47⋊C8C2411yescharacteristic
731C2×C47⋊C8C2411yescharacteristic
732D376—22no—
733D376—22no—
734D376—22no—
735D376—22no—
736D376—41no—
737D376—41no—
738#10625325—41no—
739#10625325—41no—
740#10625324—41no—
741#10625324—41no—
742C8×D47—41no—
743C8×D47—41no—
744C23×C47—21no—
745C23×C47—21no—
746C23×C47—21no—
747C23×C47—81no—
748C23×C47—81no—
749C23×C47—81no—
750C23×C47C22×D411yescharacteristic
751C23×C47C22×D411yescharacteristic
752C23×C47C22×D411yescharacteristic
753C22×D47—21no—
754C22×D47—21no—
755C22×D47—24no—
756C22×D47—21no—
757C22×D47—21no—
758C22×D47—21no—
759C22×D47—42no—
760C22×D47—42no—
761C22×D47—42no—
762C22×D47—42no—
763C22×D47—81no—
764C22×D47—81no—
765C22×D47—81no—
766C22×D47—81no—
767C22×D47—81no—
768C22×D47—81no—
769C22×D47—81no—
770C22×D47—81no—
771C22×D47—81no—
772C22×D47—81no—
773C22×D47—81no—
774C22×D47—81no—
775C22×D47—81no—
776C22×D47—81no—
777C22×D47—81no—
778C22×D47—81no—
779C22×D47—81no—
780C22×D47—81no—
781C22×D47—81no—
782C22×D47C22×D411yescharacteristic
783C22×D47C22×D411yescharacteristic
784Q8×C47—21no—
785Q8×C47—21no—
786Q8×C47—41no—
787D4×C47—21no—
788D4×C47—21no—
789D4×C47—21no—
790D4×C47—21no—
791D4×C47—21no—
792D4×C47—21no—
793D4×C47—41no—
794D4×C47—41no—
795D4×C47—41no—
796D4×C47—42no—
797D4×C47—81no—
798D4×C47—81no—
799D4×C47—81no—
800D4×C47—81no—
801D4×C47—81no—
802D4×C47—81no—
803D4×C47—81no—
804C2×C4×C47—21no—
805C2×C4×C47—21no—
806C2×C4×C47—21no—
807C2×C4×C47—21no—
808C2×C4×C47—21no—
809C2×C4×C47—21no—
810C2×C4×C47—21no—
811C2×C4×C47—21no—
812C2×C4×C47—21no—
813C2×C4×C47—21no—
814C2×C4×C47—21no—
815C2×C4×C47—42no—
816C2×C4×C47—81no—
817C2×C4×C47C22×D411yescharacteristic
818C2×C4×C47C22×D411yescharacteristic
819C2×C4×C47C22×D411yescharacteristic
820C2×C4×C47C2511yescharacteristic
821C22⋊D47—22no—
822C22⋊D47—22no—
823C22⋊D47—41no—
824C22⋊D47—41no—
825C22⋊D47—41no—
826C22⋊D47—41no—
827C22⋊D47—42no—
828C22⋊D47—42no—
829C22⋊D47—42no—
830C22⋊D47—42no—
831C22⋊D47—42no—
832C22⋊D47—42no—
833C22⋊D47—42no—
834C22⋊D47—42no—
835C22⋊D47—81no—
836C22⋊D47—81no—
837C22⋊D47—81no—
838C22⋊D47—81no—
839C22⋊D47—81no—
840C22⋊D47—81no—
841C22⋊D47—81no—
842C22⋊D47—81no—
843C22⋊D47—81no—
844C22⋊D47—81no—
845C22⋊D47—81no—
846C2×Dic47—22no—
847C2×Dic47—21no—
848C2×Dic47—21no—
849C2×Dic47—21no—
850C2×Dic47—41no—
851C2×Dic47—42no—
852C2×Dic47—42no—
853C2×Dic47C22×D411yescharacteristic
854C2×Dic47C22×D411yescharacteristic
855C2×Dic47C22×D411yescharacteristic
856C2×Dic47C22×D411yescharacteristic
857C2×Dic47C22×D411yescharacteristic
858C2×Dic47C22×D411yescharacteristic
859D188—24no—
860D188—21no—
861D188—21no—
862D188—21no—
863D188—21no—
864D188—21no—
865D188—21no—
866D188—21no—
867D188—21no—
868D188—41no—
869D188—42no—
870D188—42no—
871D188—42no—
872D188—42no—
873D188—81no—
874D188—81no—
875D188—81no—
876D188—81no—
877D188—81no—
878D188H(5,𝔽2)12yes—
879D188H(5,𝔽2)12yes—
880C4×D47—21no—
881C4×D47—21no—
882C4×D47—21no—
883C4×D47—21no—
884C4×D47—42no—
885C4×D47—42no—
886C4×D47—42no—
887C4×D47—42no—
888C4×D47—42no—
889C4×D47—42no—
890C4×D47—42no—
891C4×D47—42no—
892C4×D47—42no—
893C4×D47—81no—
894C4×D47—81no—
895Dic94—21no—
896Dic94—21no—
897Dic94—41no—
898Dic94—81no—
899Dic94—81no—
900C8×C47—21no—
901C8×C47—21no—
902C8×C47—21no—
903C8×C47—21no—
904C47⋊C8—21no—
905C47⋊C8—21no—
906C47⋊C8—21no—
907C47⋊C8—21no—
908#61679—471nomaximal, Sylow
909C22×C47—21no—
910C22×C47—21no—
911C22×C47—21no—
912C22×C47—21no—
913C22×C47—21no—
914C22×C47—21no—
915C22×C47—21no—
916C22×C47—21no—
917C22×C47—21no—
918C22×C47—41no—
919C22×C47—41no—
920C22×C47—41no—
921C22×C47—41no—
922C22×C47—41no—
923C22×C47—41no—
924C22×C47—41no—
925C22×C47—41no—
926C22×C47—41no—
927C22×C47—162no—
928C22×C47C23×D411yescharacteristic
929C2×D47—21no—
930C2×D47—21no—
931C2×D47—21no—
932C2×D47—21no—
933C2×D47—22no—
934C2×D47—22no—
935C2×D47—21no—
936C2×D47—21no—
937C2×D47—41no—
938C2×D47—41no—
939C2×D47—41no—
940C2×D47—41no—
941C2×D47—41no—
942C2×D47—41no—
943C2×D47—41no—
944C2×D47—41no—
945C2×D47—41no—
946C2×D47—41no—
947C2×D47—41no—
948C2×D47—41no—
949C2×D47—41no—
950C2×D47—84no—
951C2×D47—162no—
952C2×D47—162no—
953C2×D47—162no—
954C2×D47—162no—
955C2×D47—162no—
956C2×D47—162no—
957C2×D47—162no—
958C4×C47—21no—
959C4×C47—21no—
960C4×C47—21no—
961C4×C47—41no—
962C4×C47—41no—
963C4×C47—41no—
964C4×C47—41no—
965C4×C47—41no—
966C4×C47C2×H(5,𝔽2)11yescharacteristic
967C4×C47C2×H(5,𝔽2)11yescharacteristic
968Dic47—21no—
969Dic47—21no—
970Dic47—21no—
971Dic47—21no—
972Dic47—21no—
973Dic47—41no—
974Dic47—41no—
975Dic47—41no—
976Dic47#57612yes—
977#3549—471no—
978#3496—471no—
979#3325—471no—
980#3325—471no—
981#3319—471no—
982#3319—471no—
983#3319—471no—
984#3319—471no—
985#3303—471no—
986#3303—471no—
987D4×D8—471no—
988D4×D8—471no—
989#3272—471no—
990#3272—471no—
991#3264—471no—
992#3264—471no—
993#3264—471no—
994#3264—471no—
995#3214—471no—
996#3207—471no—
997#3198—471no—
998#3198—471no—
999#3198—471no—
1000#3198D4711yescharacteristic, complemented
1001#3109—471no—
1002#3100—471no—
1003#3008—471no—
1004#3008—471no—
1005#3008—471no—
1006#3008—471no—
1007#2981—471no—
1008C2×C47—41no—
1009C2×C47—41no—
1010C2×C47—41no—
1011C2×C47—81no—
1012C2×C47—81no—
1013C2×C47—81no—
1014C2×C47#348411yescharacteristic
1015C2×C47C2×#57611yescharacteristic
1016C2×C47#358511yescharacteristic
1017D47—41no—
1018D47—41no—
1019D47—42no—
1020D47—42no—
1021D47—81no—
1022D47—81no—
1023D47—81no—
1024C2×H(5,𝔽2)—471no—
1025C2×H(5,𝔽2)—471no—
1026C2×AGL(1,ℤ/8)—471no—
1027C2×AGL(1,ℤ/8)—471no—
1028C2×AGL(1,ℤ/8)—471no—
1029C2×AGL(1,ℤ/8)—471no—
1030C22×D8—471no—
1031C22×D8—471no—
1032C22×D8—471no—
1033C22×D8—471no—
1034H(3,𝔽4)—941no—
1035H(3,𝔽4)—941no—
1036#555—471no—
1037#555—471no—
1038#555—471no—
1039#555—471no—
1040#555—941no—
1041#547—471no—
1042#547—471no—
1043#547—941no—
1044#546—471no—
1045#546—471no—
1046#546—471no—
1047#546—471no—
1048#546—941no—
1049#546—941no—
1050D42—471no—
1051D42—471no—
1052D42—471no—
1053D42—471no—
1054D42—471no—
1055D42—471no—
1056D42—941no—
1057D42—941no—
1058#537—471no—
1059#537C2×D4711yescharacteristic, complemented
1060#535—471no—
1061#535—471no—
1062#535—471no—
1063#535—941no—
1064#535—941no—
1065#535—941no—
1066#535—941no—
1067#535C2×D4711yescharacteristic, complemented
1068#534—941no—
1069#534—941no—
1070#532—471no—
1071#532—471no—
1072#532—471no—
1073#532—471no—
1074C2×#121—941no—
1075C2×#121—941no—
1076C2×C4×D4—471no—
1077#496—471no—
1078#496—471no—
1079#493—471no—
1080#492—471no—
1081#489—471no—
1082#489—471no—
1083#487—471no—
1084#486—471no—
1085#485—471no—
1086#485—471no—
1087#485—471no—
1088#485C2×D4711yescharacteristic, complemented
1089#482—471no—
1090#482—471no—
1091#482—471no—
1092#482C2×D4711yescharacteristic, complemented
1093#481—471no—
1094#481C2×D4711yescharacteristic, complemented
1095#480—471no—
1096#480C2×D4711yescharacteristic, complemented
1097#476—471no—
1098#476—471no—
1099#474—471no—
1100#474—471no—
1101#469—471no—
1102#469—471no—
1103#469—471no—
1104#469C2×D4711yescharacteristic, complemented
1105#468—471no—
1106#468—471no—
1107#468—471no—
1108#468C2×D4711yescharacteristic, complemented
1109#466—471no—
1110#466—471no—
1111#466—471no—
1112#466C2×D4711yescharacteristic, complemented
1113#465—471no—
1114#465—471no—
1115#465—471no—
1116#465C2×D4711yescharacteristic, complemented
1117#463—471no—
1118#463—471no—
1119#463—471no—
1120#463—471no—
1121#461—471no—
1122#461—471no—
1123#459—471no—
1124#459—471no—
1125#459—471no—
1126#459—471no—
1127#459—471no—
1128#459—471no—
1129#450—471no—
1130#450—471no—
1131#450—471no—
1132#450C2×D4711yescharacteristic, complemented
1133#449—471no—
1134#449—471no—
1135#449—471no—
1136#449—471no—
1137#449—471no—
1138#449—471no—
1139#449—471no—
1140#449—471no—
1141#449—471no—
1142#449—471no—
1143#449—471no—
1144#449—471no—
1145#449—471no—
1146#449—471no—
1147#449C2×D4711yescharacteristic, complemented
1148#449C2×D4711yescharacteristic, complemented
1149#447—471no—
1150#447—471no—
1151#447—471no—
1152#447—471no—
1153#447—471no—
1154#447—471no—
1155#447—471no—
1156#447—471no—
1157#447—471no—
1158#447—471no—
1159#447—471no—
1160#447—471no—
1161#447—471no—
1162#447—471no—
1163#447—471no—
1164#447C2×D4711yescharacteristic, complemented
1165#442—471no—
1166#442—471no—
1167#442—471no—
1168#442—471no—
1169C4×D8—471no—
1170C4×D8—471no—
1171C4×D8—471no—
1172C4×D8—471no—
1173#436—471no—
1174#436—471no—
1175#435—471no—
1176#435—471no—
1177#435—471no—
1178#435—471no—
1179C8×D4—471no—
1180C8×D4—471no—
1181#432—471no—
1182#431—471no—
1183#418—471no—
1184#418—471no—
1185#418—471no—
1186#418—471no—
1187#416—471no—
1188#416—471no—
1189#416—471no—
1190#416—471no—
1191#408—471no—
1192#408—471no—
1193#408—471no—
1194#408C2×D4711yescharacteristic, complemented
1195C47#6167911yescharacteristic, complemented, Sylow
1196H(5,𝔽2)—1882no—
1197H(5,𝔽2)—1882no—
1198H(5,𝔽2)—1882no—
1199H(5,𝔽2)—1882no—
1200C2×#41—471no—
1201C2×#41—471no—
1202C2×#41—471no—
1203C2×#41—471no—
1204C2×#41—471no—
1205C2×#41—471no—
1206C2×#41—941no—
1207C2×#41—941no—
1208C2×#41—941no—
1209C2×#41—941no—
1210C2×#41C22×D4711yescharacteristic
1211C2×#41C22×D4711yescharacteristic
1212C22×D4—471no—
1213C22×D4—471no—
1214C22×D4—471no—
1215C22×D4—471no—
1216C22×D4—471no—
1217C22×D4—471no—
1218C22×D4—471no—
1219C22×D4—471no—
1220C22×D4—941no—
1221C22×D4—941no—
1222C22×D4—941no—
1223C22×D4—941no—
1224C22×D4—941no—
1225C22×D4—941no—
1226C22×D4—941no—
1227C22×D4—941no—
1228C22×D4—941no—
1229C22×D4—941no—
1230C22×D4—941no—
1231C22×D4—941no—
1232C22×D4C22×D4711yescharacteristic
1233C23×C4—941no—
1234AGL(1,ℤ/8)—1882no—
1235AGL(1,ℤ/8)—1882no—
1236AGL(1,ℤ/8)—1882no—
1237AGL(1,ℤ/8)—1882no—
1238C2×SD16—471no—
1239C2×SD16—471no—
1240C2×SD16—471no—
1241C2×SD16—471no—
1242C2×SD16—471no—
1243C2×SD16—471no—
1244C2×SD16C22×D4711yescharacteristic
1245C2×SD16C22×D4711yescharacteristic
1246C2×D8—471no—
1247C2×D8—471no—
1248C2×D8—471no—
1249C2×D8—471no—
1250C2×D8—471no—
1251C2×D8—471no—
1252C2×D8—471no—
1253C2×D8—471no—
1254C2×D8—471no—
1255C2×D8—471no—
1256C2×D8—471no—
1257C2×D8—471no—
1258C2×D8—471no—
1259C2×D8—471no—
1260C2×D8—1882no—
1261C2×D8—1882no—
1262C2×D8—1882no—
1263C2×D8—1882no—
1264C2×D8C22×D4711yescharacteristic
1265C2×D8C22×D4711yescharacteristic
1266C2×M16—471no—
1267C2×M16—471no—
1268C2×M16—471no—
1269C2×M16C22×D4711yescharacteristic
1270C22×C8—471no—
1271C22×C8—471no—
1272C22×C8—471no—
1273C22×C8C22×D4711yescharacteristic
1274C4⋊Q8—471no—
1275C4⋊Q8—471no—
1276C4⋊Q8—471no—
1277C4⋊Q8—471no—
1278#127—21no—
1279#127—471no—
1280#127—471no—
1281#127—471no—
1282#127—471no—
1283#127—941no—
1284#127—941no—
1285#127—941no—
1286#124—21no—
1287#124—471no—
1288#124—471no—
1289#124—471no—
1290#124—471no—
1291#124—941no—
1292#124—941no—
1293#124—941no—
1294#124—941no—
1295#124—941no—
1296#124—941no—
1297#124—941no—
1298#124—941no—
1299#124—941no—
1300#124—941no—
1301#124—941no—
1302#124—941no—
1303#124—941no—
1304#123—941no—
1305#123—941no—
1306#123—941no—
1307#123—941no—
1308#123—941no—
1309#123—941no—
1310#123—941no—
1311#123—941no—
1312C22⋊Q8—21no—
1313C22⋊Q8—471no—
1314C22⋊Q8—471no—
1315C22⋊Q8—941no—
1316C22⋊Q8C22×D4711yescharacteristic
1317C22⋊Q8C22×D4711yescharacteristic
1318#121—21no—
1319#121—21no—
1320#121—21no—
1321#121—471no—
1322#121—471no—
1323#121—471no—
1324#121—471no—
1325#121—471no—
1326#121—471no—
1327#121—471no—
1328#121—471no—
1329#121—471no—
1330#121—471no—
1331#121—471no—
1332#121—471no—
1333#121—471no—
1334#121—471no—
1335#121—941no—
1336#121—941no—
1337#121—941no—
1338#121—941no—
1339#121—941no—
1340#121—941no—
1341#121—941no—
1342#121—941no—
1343#121—941no—
1344#121—941no—
1345#121—941no—
1346#121—941no—
1347#121—941no—
1348#121—941no—
1349#121—941no—
1350#121—941no—
1351#121—941no—
1352#121—941no—
1353#121—941no—
1354#121—941no—
1355#121—941no—
1356#121—941no—
1357#121—941no—
1358#121C22×D4711yescharacteristic
1359#121C22×D4711yescharacteristic
1360#121C22×D4711yescharacteristic
1361#121C22×D4711yescharacteristic
1362#121C22×D4711yescharacteristic
1363#121C22×D4711yescharacteristic
1364#120—21no—
1365#120—21no—
1366#120—941no—
1367#120—941no—
1368#120—941no—
1369#120—941no—
1370#120—941no—
1371#120—941no—
1372#120—941no—
1373#120—941no—
1374#120—941no—
1375#120—941no—
1376#120—941no—
1377#120—941no—
1378#120—941no—
1379#120—941no—
1380#120—941no—
1381#120—941no—
1382#120—941no—
1383#120—941no—
1384#120—941no—
1385#120—941no—
1386#120—941no—
1387#120—941no—
1388C4×D4—471no—
1389C4×D4—471no—
1390C4×D4—471no—
1391C4×D4—471no—
1392C4×D4—471no—
1393C4×D4—471no—
1394C4×D4—471no—
1395C4×D4—471no—
1396C4×D4—471no—
1397C4×D4—471no—
1398C4×D4—471no—
1399C4×D4—471no—
1400C4×D4—941no—
1401C4×D4—941no—
1402C4×D4—941no—
1403C4×D4—941no—
1404C4×D4—941no—
1405C4×D4—941no—
1406#117—471no—
1407#117—471no—
1408#117—471no—
1409#117—941no—
1410#117—941no—
1411#117—941no—
1412#117—941no—
1413#117C22×D4711yescharacteristic
1414C2×C4⋊C4—941no—
1415C2×C4⋊C4—941no—
1416C2×C4⋊C4C22×D4711yescharacteristic
1417C2×C22⋊C4—941no—
1418C2×C22⋊C4—941no—
1419C2×C22⋊C4—941no—
1420C2×C22⋊C4—941no—
1421C2×C22⋊C4—941no—
1422C2×C42—471no—
1423#107—471no—
1424#107—471no—
1425#107C22×D4711yescharacteristic
1426#107C22×D4711yescharacteristic
1427#106—471no—
1428#106—471no—
1429#106C22×D4711yescharacteristic
1430#106C22×D4711yescharacteristic
1431C4⋊C8—471no—
1432C4⋊C8—471no—
1433C4⋊C8—471no—
1434C4⋊C8—471no—
1435#103—471no—
1436#103—471no—
1437#103—471no—
1438#103—471no—
1439#103—471no—
1440#103—471no—
1441#103C22×D4711yescharacteristic
1442#103C22×D4711yescharacteristic
1443#102—471no—
1444#102—471no—
1445#102—471no—
1446#102—471no—
1447#102—471no—
1448#102—471no—
1449#102—471no—
1450#102—471no—
1451#102—471no—
1452#102—471no—
1453#102—471no—
1454#102—471no—
1455#102—471no—
1456#102—471no—
1457#102—471no—
1458#102—471no—
1459#102—471no—
1460#102—471no—
1461#102C22×D4711yescharacteristic
1462#102C22×D4711yescharacteristic
1463#102C22×D4711yescharacteristic
1464#102C22×D4711yescharacteristic
1465#102C22×D4711yescharacteristic
1466#102C22×D4711yescharacteristic
1467C22⋊C8—471no—
1468C22⋊C8—471no—
1469C22⋊C8—471no—
1470C22⋊C8—471no—
1471C22⋊C8—471no—
1472C22⋊C8—471no—
1473C22⋊C8—471no—
1474C22⋊C8—471no—
1475C22⋊C8C22×D4711yescharacteristic
1476C22⋊C8C22×D4711yescharacteristic
1477C22⋊C8C22×D4711yescharacteristic
1478C22⋊C8C22×D4711yescharacteristic
1479#97—471no—
1480#97—471no—
1481C4×C8—471no—
1482C4×C8—471no—
1483C24—21no—
1484C24—941no—
1485C24—941no—
1486C24—941no—
1487C24—941no—
1488C24—941no—
1489C24—941no—
1490C24—941no—
1491C24—941no—
1492#41—41no—
1493#41—41no—
1494#41—41no—
1495#41—41no—
1496#41—942no—
1497#41—942no—
1498#41—942no—
1499#41—942no—
1500#41—3762no—
1501#41—3762no—
1502#41—1881no—
1503#41—1881no—
1504#41—1881no—
1505#41—1881no—
1506#41—1881no—
1507#41—1881no—
1508#41—1884no—
1509#41—1881no—
1510#41—1881no—
1511#41—1884no—
1512C2×Q8—471no—
1513C2×Q8—471no—
1514C2×Q8—941no—
1515C2×Q8—941no—
1516C2×Q8D4×D4711yescharacteristic
1517C2×Q8C23×D4711yescharacteristic
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—41no—
1527C2×D4—41no—
1528C2×D4—471no—
1529C2×D4—471no—
1530C2×D4—471no—
1531C2×D4—471no—
1532C2×D4—471no—
1533C2×D4—471no—
1534C2×D4—471no—
1535C2×D4—471no—
1536C2×D4—471no—
1537C2×D4—471no—
1538C2×D4—471no—
1539C2×D4—471no—
1540C2×D4—942no—
1541C2×D4—942no—
1542C2×D4—942no—
1543C2×D4—942no—
1544C2×D4—941no—
1545C2×D4—941no—
1546C2×D4—941no—
1547C2×D4—941no—
1548C2×D4—941no—
1549C2×D4—941no—
1550C2×D4—941no—
1551C2×D4—941no—
1552C2×D4—941no—
1553C2×D4—941no—
1554C2×D4—941no—
1555C2×D4—941no—
1556C2×D4—941no—
1557C2×D4—941no—
1558C2×D4—941no—
1559C2×D4—941no—
1560C2×D4—942no—
1561C2×D4—942no—
1562C2×D4—941no—
1563C2×D4—941no—
1564C2×D4—941no—
1565C2×D4—941no—
1566C2×D4—941no—
1567C2×D4—941no—
1568C2×D4—941no—
1569C2×D4—941no—
1570C2×D4—941no—
1571C2×D4—941no—
1572C2×D4—941no—
1573C2×D4—941no—
1574C2×D4—941no—
1575C2×D4—3762no—
1576C2×D4—3762no—
1577C2×D4—3762no—
1578C2×D4—3762no—
1579C2×D4—3762no—
1580C2×D4—3762no—
1581C2×D4—1881no—
1582C2×D4—1881no—
1583C2×D4—1881no—
1584C2×D4—1881no—
1585C2×D4—1884no—
1586C2×D4—1881no—
1587C2×D4—1881no—
1588C2×D4—1881no—
1589C2×D4—1881no—
1590C2×D4—1881no—
1591C2×D4—1881no—
1592C2×D4—1884no—
1593C2×D4—1884no—
1594C2×D4—1884no—
1595C2×D4—1884no—
1596C2×D4—1884no—
1597C2×D4D4×D4711yescharacteristic
1598C2×D4D4×D4711yescharacteristic
1599C2×D4D4×D4711yescharacteristic
1600C2×D4C23×D4711yescharacteristic
1601C2×D4C23×D4711yescharacteristic
1602C2×D4C23×D4711yescharacteristic
1603C22×C4—21no—
1604C22×C4—21no—
1605C22×C4—471no—
1606C22×C4—471no—
1607C22×C4—471no—
1608C22×C4—471no—
1609C22×C4—941no—
1610C22×C4—941no—
1611C22×C4—941no—
1612C22×C4—941no—
1613C22×C4—941no—
1614C22×C4—941no—
1615C22×C4—941no—
1616C22×C4—941no—
1617C22×C4—941no—
1618C22×C4—941no—
1619C22×C4—941no—
1620C22×C4—941no—
1621C22×C4—941no—
1622C22×C4—3762no—
1623C22×C4C23×D4711yescharacteristic
1624C22×C4C23×D4711yescharacteristic
1625C22×C4C23×D4711yescharacteristic
1626SD16—41no—
1627SD16—41no—
1628SD16—1881no—
1629SD16—1881no—
1630SD16—1881no—
1631SD16—1881no—
1632SD16—1881no—
1633SD16—1881no—
1634D8—41no—
1635D8—41no—
1636D8—942no—
1637D8—942no—
1638D8—942no—
1639D8—942no—
1640D8—942no—
1641D8—942no—
1642D8—942no—
1643D8—942no—
1644D8—1881no—
1645D8—1881no—
1646D8—1881no—
1647D8—1881no—
1648D8—1881no—
1649D8—1881no—
1650M16—41no—
1651M16—1881no—
1652M16—1881no—
1653M16—1881no—
1654C2×C8—41no—
1655C2×C8—471no—
1656C2×C8—471no—
1657C2×C8—471no—
1658C2×C8—471no—
1659C2×C8—1881no—
1660C2×C8—1881no—
1661C2×C8—1881no—
1662C2×C8C23×D4711yescharacteristic
1663C2×C8C23×D4711yescharacteristic
1664C2×C8C23×D4711yescharacteristic
1665C2×C8C23×D4711yescharacteristic
1666C4⋊C4—21no—
1667C4⋊C4—21no—
1668C4⋊C4—21no—
1669C4⋊C4—471no—
1670C4⋊C4—471no—
1671C4⋊C4—471no—
1672C4⋊C4—471no—
1673C4⋊C4—471no—
1674C4⋊C4—471no—
1675C4⋊C4—941no—
1676C4⋊C4—941no—
1677C4⋊C4—941no—
1678C4⋊C4—941no—
1679C4⋊C4—941no—
1680C4⋊C4—941no—
1681C4⋊C4C23×D4711yescharacteristic
1682C4⋊C4C23×D4711yescharacteristic
1683C4⋊C4C23×D4711yescharacteristic
1684C4⋊C4C23×D4711yescharacteristic
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—471no—
1695C22⋊C4—471no—
1696C22⋊C4—471no—
1697C22⋊C4—471no—
1698C22⋊C4—471no—
1699C22⋊C4—471no—
1700C22⋊C4—471no—
1701C22⋊C4—471no—
1702C22⋊C4—941no—
1703C22⋊C4—941no—
1704C22⋊C4—941no—
1705C22⋊C4—941no—
1706C22⋊C4—941no—
1707C22⋊C4—941no—
1708C22⋊C4—941no—
1709C22⋊C4—941no—
1710C22⋊C4—941no—
1711C22⋊C4—941no—
1712C22⋊C4—941no—
1713C22⋊C4—941no—
1714C22⋊C4—941no—
1715C22⋊C4—941no—
1716C22⋊C4—941no—
1717C22⋊C4—941no—
1718C22⋊C4—941no—
1719C22⋊C4—941no—
1720C22⋊C4—941no—
1721C22⋊C4—941no—
1722C22⋊C4—941no—
1723C22⋊C4—941no—
1724C22⋊C4—941no—
1725C22⋊C4—941no—
1726C22⋊C4—941no—
1727C22⋊C4—941no—
1728C22⋊C4—941no—
1729C42—21no—
1730C42—471no—
1731C42—471no—
1732C42—471no—
1733C42—471no—
1734C42—941no—
1735C42—941no—
1736C42—941no—
1737C23—21no—
1738C23—21no—
1739C23—21no—
1740C23—81no—
1741C23—81no—
1742C23—81no—
1743C23—471no—
1744C23—471no—
1745C23—944no—
1746C23—941no—
1747C23—941no—
1748C23—941no—
1749C23—941no—
1750C23—941no—
1751C23—3761no—
1752C23—3761no—
1753C23—3761no—
1754C23—3761no—
1755C23—3761no—
1756C23—3761no—
1757C23—3761no—
1758C23—3761no—
1759C23—3761no—
1760C23—3761no—
1761C23—3761no—
1762C23—3761no—
1763C23—3761no—
1764C23—3761no—
1765C23—3761no—
1766C23—3761no—
1767C23—3761no—
1768C23—3761no—
1769C23—3761no—
1770C23—1882no—
1771C23—1882no—
1772C23—1882no—
1773C23—1882no—
1774C23C2×D4×D4711yescharacteristic
1775C23C2×D4×D4711yescharacteristic
1776C23C2×D4×D4711yescharacteristic
1777Q8—21no—
1778Q8—21no—
1779Q8—41no—
1780Q8—941no—
1781Q8—941no—
1782Q8—3761no—
1783Q8—3761no—
1784Q8—1881no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—21no—
1791D4—41no—
1792D4—41no—
1793D4—41no—
1794D4—42no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—81no—
1800D4—81no—
1801D4—81no—
1802D4—472no—
1803D4—472no—
1804D4—944no—
1805D4—942no—
1806D4—942no—
1807D4—941no—
1808D4—941no—
1809D4—941no—
1810D4—941no—
1811D4—941no—
1812D4—941no—
1813D4—941no—
1814D4—941no—
1815D4—3761no—
1816D4—3761no—
1817D4—3761no—
1818D4—3761no—
1819D4—3761no—
1820D4—3761no—
1821D4—3761no—
1822D4—3761no—
1823D4—3761no—
1824D4—3761no—
1825D4—3761no—
1826D4—3761no—
1827D4—3761no—
1828D4—3761no—
1829D4—3761no—
1830D4—3761no—
1831D4—1881no—
1832D4—1882no—
1833D4—1882no—
1834D4—1882no—
1835D4—1882no—
1836D4—1882no—
1837D4—1882no—
1838D4—1881no—
1839D4—1881no—
1840D4—1881no—
1841D4—1881no—
1842D4—1882no—
1843D4—1882no—
1844D4—1882no—
1845D4—1882no—
1846D4—1882no—
1847D4—1882no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—42no—
1860C2×C4—81no—
1861C2×C4—471no—
1862C2×C4—471no—
1863C2×C4—471no—
1864C2×C4—471no—
1865C2×C4—471no—
1866C2×C4—471no—
1867C2×C4—942no—
1868C2×C4—941no—
1869C2×C4—941no—
1870C2×C4—941no—
1871C2×C4—941no—
1872C2×C4—941no—
1873C2×C4—941no—
1874C2×C4—941no—
1875C2×C4—3761no—
1876C2×C4—3761no—
1877C2×C4—1882no—
1878C2×C4—1882no—
1879C2×C4—1882no—
1880C2×C4—1882no—
1881C2×C4—1882no—
1882C2×C4—1882no—
1883C2×C4—1882no—
1884C2×C4—1882no—
1885C2×C4—1882no—
1886C2×C4—1882no—
1887C2×C4—1881no—
1888C2×C4—1882no—
1889C2×C4C2×D4×D4711yescharacteristic
1890C2×C4C2×D4×D4711yescharacteristic
1891C2×C4C2×D4×D4711yescharacteristic
1892C2×C4C24×D4711yescharacteristic
1893C8—21no—
1894C8—21no—
1895C8—21no—
1896C8—21no—
1897C8—941no—
1898C8—941no—
1899C8—941no—
1900C8—941no—
1901C22—21no—
1902C22—21no—
1903C22—21no—
1904C22—21no—
1905C22—21no—
1906C22—21no—
1907C22—21no—
1908C22—21no—
1909C22—21no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—162no—
1920C22—941no—
1921C22—941no—
1922C22—941no—
1923C22—941no—
1924C22—941no—
1925C22—941no—
1926C22—942no—
1927C22—942no—
1928C22—3764no—
1929C22—1881no—
1930C22—1881no—
1931C22—1881no—
1932C22—1881no—
1933C22—1881no—
1934C22—1881no—
1935C22—1881no—
1936C22—1881no—
1937C22—1881no—
1938C22—1881no—
1939C22—1881no—
1940C22—1881no—
1941C22—1881no—
1942C22—7522no—
1943C22—7522no—
1944C22—7522no—
1945C22—7522no—
1946C22—7522no—
1947C22—7522no—
1948C22—7522no—
1949C22C22×D4×D4711yescharacteristic
1950C4—21no—
1951C4—21no—
1952C4—21no—
1953C4—41no—
1954C4—41no—
1955C4—41no—
1956C4—41no—
1957C4—41no—
1958C4—472no—
1959C4—941no—
1960C4—941no—
1961C4—941no—
1962C4—941no—
1963C4—941no—
1964C4—1881no—
1965C4—1881no—
1966C4—1881no—
1967C4H(5,𝔽2)×D4711yescharacteristic
1968C4H(5,𝔽2)×D4711yescharacteristic
1969C2—41no—
1970C2—41no—
1971C2—41no—
1972C2—81no—
1973C2—81no—
1974C2—81no—
1975C2—3761no—
1976C2—3761no—
1977C2—3761no—
1978C2—1881no—
1979C2—1881no—
1980C2—1882no—
1981C2—1882no—
1982C2#2025702011yescharacteristic
1983C2#576×D4711yescharacteristic
1984C2#2025816611yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3198C2
socleC22×C47C23×D4
hypercenter#3198D47
hypocenterC47#61679
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3198

Complements

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

NH ≅ G/Ntype
1. #20257791C2semidirect
2. #20257151C2semidirect
3. #20255628C2semidirect
4. #20255625C2semidirect
5. #20255550C2semidirect
6. #20255547C2semidirect
7. #20255542C2semidirect
8. #20255539C2semidirect
9. #20255314C2semidirect
10. #20255311C2semidirect
11. #20255062C2semidirect
12. #20255058C2semidirect
13. #20254986C2semidirect
14. #20254985C2semidirect
15. #20254875C2semidirect
16. #20254872C2semidirect
17. #20254866C2semidirect
18. #20254865C2semidirect
19. #20254380C2semidirect
20. #20254319C2semidirect
21. #20254247C2semidirect
22. #20254245C2semidirect
23. #20254234C2semidirect
24. #20253476C2semidirect
25. #20253385C2semidirect
26. #20252658C2semidirect
27. #20252654C2semidirect
28. #20252653C2semidirect
29. #20252653C2semidirect
30. #20252461C2semidirect
31. C47×#3198C2semidirect
32. C2×#13094070C22semidirect
33. C2×#13094070C22semidirect
34. C2×#13094052C22semidirect
35. C2×#13094051C22semidirect
36. C2×#13094051C22semidirect
37. C2×#13094050C22semidirect
38. C22×D376C22semidirect
39. C22×#10625334C22semidirect
40. C2×D8×D47C22semidirect
41. C2×D8×D47C22semidirect
44. #15689837C22semidirect
45. #15689837C22semidirect
46. #15689836C22semidirect
47. #15689836C22semidirect
50. #15689775C22semidirect
51. #15689775C22semidirect
53. #15689770C22semidirect
54. #15689770C22semidirect
56. #15689764C22semidirect
57. #15689764C22semidirect
59. #15689757C22semidirect
60. #15689757C22semidirect
61. #15689757C22semidirect
62. #15689757C22semidirect
63. D4×C22⋊D47C22semidirect
64. D4×C22⋊D47C22semidirect
66. #15689704C22semidirect
67. #15689689C22semidirect
68. #15689689C22semidirect
71. #15689687C22semidirect
77. #15689669C22semidirect
78. #15689668C22semidirect
79. #15689668C22semidirect
82. C2×#13093986C22semidirect
83. #15689511C22semidirect
84. #15689509C22semidirect
85. #15689498C22semidirect
86. #15689494C22semidirect
87. #15689484C22semidirect
88. #15689481C22semidirect
89. #15689472C22semidirect
90. #15689468C22semidirect
91. #15689467C22semidirect
92. #15689466C22semidirect
93. #15689461C22semidirect
94. #15689450C22semidirect
95. #15689449C22semidirect
96. #15689444C22semidirect
97. #15689441C22semidirect
98. #15689436C22semidirect
99. #15689412C22semidirect
100. #15689412C22semidirect
101. #15689402C22semidirect
102. #15689402C22semidirect
103. #15689377C22semidirect
104. #15689375C22semidirect
105. #15689374C22semidirect
106. #15689371C22semidirect
107. #15689370C22semidirect
108. #15689368C22semidirect
109. #15689360C22semidirect
110. #15689358C22semidirect
111. #15689357C22semidirect
112. #15689354C22semidirect
113. #15689353C22semidirect
114. #15689351C22semidirect
115. #15689341C22semidirect
116. #15689340C22semidirect
117. #15689337C22semidirect
118. #15689336C22semidirect
119. #15689327C22semidirect
120. #15689326C22semidirect
121. #15689317C22semidirect
122. #15689317C22semidirect
123. #15689317C22semidirect
124. #15689317C22semidirect
125. #15689317C22semidirect
126. #15689316C22semidirect
127. #15689275C22semidirect
128. #15689275C22semidirect
129. #15689273C22semidirect
130. #15689271C22semidirect
131. #15689271C22semidirect
132. #15689270C22semidirect
133. #15689270C22semidirect
134. #15689270C22semidirect
135. #15689270C22semidirect
136. #15689268C22semidirect
137. #15689268C22semidirect
138. #15689267C22semidirect
139. #15689267C22semidirect
140. #15689266C22semidirect
141. #15689266C22semidirect
142. #15689266C22semidirect
143. #15689266C22semidirect
144. #15689259C22semidirect
145. #15689259C22semidirect
146. #15689259C22semidirect
147. #15689259C22semidirect
148. #15689258C22semidirect
149. #15689258C22semidirect
150. #15689258C22semidirect
151. #15689258C22semidirect
152. #15689256C22semidirect
153. #15689256C22semidirect
154. #15689256C22semidirect
155. #15689256C22semidirect
156. #15689256C22semidirect
157. #15689255C22semidirect
158. #15689255C22semidirect
159. #15689234C22semidirect
160. #15689234C22semidirect
161. #15689232C22semidirect
162. #15689232C22semidirect
163. #15689205C22semidirect
164. #15689205C22semidirect
165. #15689203C22semidirect
166. #15689203C22semidirect
167. #15689199C22semidirect
168. #15689198C22semidirect
169. #15689197C22semidirect
170. #15689194C22semidirect
171. #15689192C22semidirect
172. #15689191C22semidirect
173. C8×C22⋊D47C22semidirect
174. (C22⋊D47)⋊C8C22semidirect
175. #15689177C22semidirect
176. #15689173C22semidirect
177. #15689129C22semidirect
178. #15689127C22semidirect
179. #15689126C22semidirect
180. #15689126C22semidirect
181. #15689120C22semidirect
182. #15689118C22semidirect
183. #15689118C22semidirect
184. #15689117C22semidirect
185. #15689090C22semidirect
186. #15689088C22semidirect
187. #15689088C22semidirect
188. C47×#537C22semidirect
189. C47×#535C22semidirect
190. C47×#485C22semidirect
191. C47×#482C22semidirect
192. C47×#481C22semidirect
193. C47×#480C22semidirect
194. C47×#469C22semidirect
195. C47×#468C22semidirect
196. C47×#466C22semidirect
197. C47×#465C22semidirect
198. C47×#450C22semidirect
199. C47×#449C22semidirect
200. C47×#449C22semidirect
201. C47×#447C22semidirect
202. C47×#408C22semidirect
1000. #3198D47semidirect
1059. #537C2×D47semidirect
1067. #535C2×D47semidirect
1088. #485C2×D47semidirect
1092. #482C2×D47semidirect
1094. #481C2×D47semidirect
1096. #480C2×D47semidirect
1104. #469C2×D47semidirect
1108. #468C2×D47semidirect
1112. #466C2×D47semidirect
1116. #465C2×D47semidirect
1132. #450C2×D47semidirect
1147. #449C2×D47semidirect
1148. #449C2×D47semidirect
1164. #447C2×D47semidirect
1194. #408C2×D47semidirect
1195. C47#61679semidirect

Maximal subgroups

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

subgroupindex
#202577912
#202571512
#202556282
#202556252
#202555502
#202555472
#202555422
#202555392
#202553142
#202553112
#202550622
#202550582
#202549862
#202549852
#202548752
#202548722
#202548662
#202548652
#202543802
#202543192
#202542472
#202542452
#202542342
#202534762
#202533852
#202526582
#202526542
#202526532
#202524612
C47×#31982
#6167947