Finite Group Databasebeta

← #27102513

Subgroups — #27102513

Order 12032.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257708C211yesmaximal, characteristic, complemented
2#20257053C211yesmaximal, characteristic, complemented
3#20255550C211yesmaximal, characteristic, complemented
4#20255407C211yesmaximal, characteristic, complemented
5#20255400C211yesmaximal, characteristic, complemented
6#20255377C211yesmaximal, characteristic, complemented
7#20255333C211yesmaximal, characteristic, complemented
8#20255273C211yesmaximal, characteristic, complemented
9#20255233C211yesmaximal, characteristic, complemented
10#20255199C211yesmaximal, characteristic, complemented
11#20255145C211yesmaximal, characteristic, complemented
12#20255099C211yesmaximal, characteristic, complemented
13#20255076C211yesmaximal, characteristic, complemented
14#20255058C211yesmaximal, characteristic, complemented
15#20254925C211yesmaximal, characteristic, complemented
16#20254925C211yesmaximal, characteristic, complemented
17#20254887C211yesmaximal, characteristic, complemented
18#20254861C211yesmaximal, characteristic, complemented
19#20254478C211yesmaximal, characteristic, complemented
20#20254434C211yesmaximal, characteristic, complemented
21#20254288C211yesmaximal, characteristic, complemented
22#20254247C211yesmaximal, characteristic, complemented
23#20254153C211yesmaximal, characteristic, complemented
24#20253645C211yesmaximal, characteristic, complemented
25#20253590C211yesmaximal, characteristic, complemented
26#20252687C211yesmaximal, characteristic, complemented
27#20252651C211yesmaximal, characteristic, complemented
28#20252610C211yesmaximal, characteristic, complemented
29C2×#15689266C211yesmaximal, characteristic, complemented
30#20252442C211yesmaximal, characteristic, complemented
31C47×#3186C211yesmaximal, characteristic, complemented
32C2×#13094069C2211yescharacteristic, complemented
33C22×#10625350C2211yescharacteristic, complemented
34C2×#13094048C2211yescharacteristic, complemented
35C2×#13094048C2211yescharacteristic, complemented
36C2×#13094046C2211yescharacteristic, complemented
37C2×#13094046C2211yescharacteristic, complemented
38C2×#13094043C2211yescharacteristic, complemented
39C22×#10625335C2211yescharacteristic, complemented
40C22×#10625334C2211yescharacteristic, complemented
41C2×D8×D47C2211yescharacteristic, complemented
42#15689868—21no—
43#15689861—21no—
44#15689837C2211yescharacteristic, complemented
45#15689820C2211yescharacteristic, complemented
46#15689808C2211yescharacteristic, complemented
47#15689799—21no—
48#15689791C2211yescharacteristic, complemented
49#15689791C2211yescharacteristic, complemented
50#15689791C2211yescharacteristic, complemented
51#15689779C2211yescharacteristic
52#15689779C2211yescharacteristic, complemented
53#15689774C2211yescharacteristic, complemented
54#15689770C2211yescharacteristic, complemented
55#15689770C2211yescharacteristic, complemented
56#15689770C2211yescharacteristic, complemented
57#15689767C2211yescharacteristic, complemented
58#15689763—21no—
59#15689763—21no—
60#15689763—21no—
61#15689757C2211yescharacteristic
62#15689757C2211yescharacteristic, complemented
63D4×C22⋊D47—21no—
64D4×C22⋊D47—21no—
65D4×C22⋊D47C2211yescharacteristic, complemented
66#15689740C2211yescharacteristic, complemented
67#15689726C2211yescharacteristic, complemented
68#15689723—21no—
69#15689705—21no—
70#15689704C2211yescharacteristic, complemented
71#15689702—21no—
72#15689702C2211yescharacteristic, complemented
73#15689690—21no—
74#15689690C2211yescharacteristic, complemented
75#15689689—21no—
76#15689689C2211yescharacteristic, complemented
77#15689682—21no—
78#15689634C2211yescharacteristic
79#15689634C2211yescharacteristic, complemented
80#15689633—21no—
81#121×D47—21no—
82#15689604C2211yescharacteristic, complemented
83#15689511C2211yescharacteristic, complemented
84#15689511C2211yescharacteristic, complemented
85#15689506C2211yescharacteristic, complemented
86#15689498C2211yescharacteristic, complemented
87#15689486C2211yescharacteristic, complemented
88#15689481C2211yescharacteristic, complemented
89#15689476C2211yescharacteristic, complemented
90#15689468C2211yescharacteristic, complemented
91#15689466C2211yescharacteristic, complemented
92#15689460C2211yescharacteristic, complemented
93#15689458C2211yescharacteristic, complemented
94#15689450C2211yescharacteristic, complemented
95#15689444C2211yescharacteristic, complemented
96#15689444C2211yescharacteristic, complemented
97#15689441C2211yescharacteristic, complemented
98#15689438C2211yescharacteristic, complemented
99#15689429C2211yescharacteristic, complemented
100#15689426C2211yescharacteristic, complemented
101#15689417C2211yescharacteristic, complemented
102#15689402C2211yescharacteristic, complemented
103#15689375C2211yescharacteristic, complemented
104#15689370C2211yescharacteristic, complemented
105#15689370C2211yescharacteristic, complemented
106#15689368C2211yescharacteristic, complemented
107#15689365C2211yescharacteristic, complemented
108#15689360C2211yescharacteristic, complemented
109#15689358C2211yescharacteristic, complemented
110#15689357C2211yescharacteristic, complemented
111#15689357C2211yescharacteristic, complemented
112#15689351C2211yescharacteristic, complemented
113#15689350C2211yescharacteristic, complemented
114#15689350C2211yescharacteristic, complemented
115#15689344C2211yescharacteristic, complemented
116#15689344C2211yescharacteristic, complemented
117#15689337C2211yescharacteristic, complemented
118#15689337C2211yescharacteristic, complemented
119#15689336C2211yescharacteristic, complemented
120#15689336C2211yescharacteristic, complemented
121#15689322C2211yescharacteristic, complemented
122#15689322C2211yescharacteristic, complemented
123#15689317C2211yescharacteristic, complemented
124#15689317C2211yescharacteristic, complemented
125#15689316C2211yescharacteristic, complemented
126#15689316C2211yescharacteristic, complemented
127#15689287C2211yescharacteristic, complemented
128#15689287C2211yescharacteristic, complemented
129#15689286C2211yescharacteristic, complemented
130#15689286C2211yescharacteristic, complemented
131#15689281C2211yescharacteristic, complemented
132#15689276C2211yescharacteristic, complemented
133#15689275C2211yescharacteristic, complemented
134#15689275C2211yescharacteristic, complemented
135#15689274C2211yescharacteristic, complemented
136#15689270C2211yescharacteristic, complemented
137#15689270C2211yescharacteristic, complemented
138#15689269C2211yescharacteristic, complemented
139#15689269C2211yescharacteristic, complemented
140#15689266C2211yescharacteristic
141#15689266C2211yescharacteristic, complemented
142#15689266C2211yescharacteristic, complemented
143#15689266C2211yescharacteristic, complemented
144#15689266C2211yescharacteristic, complemented
145#15689266C2211yescharacteristic, complemented
146#15689266C2211yescharacteristic, complemented
147#15689266C2211yescharacteristic, complemented
148#15689266C2211yescharacteristic, complemented
149#15689266C2211yescharacteristic, complemented
150#15689265C2211yescharacteristic, complemented
151#15689265C2211yescharacteristic, complemented
152#15689264C2211yescharacteristic, complemented
153#15689259C2211yescharacteristic, complemented
154#15689258C2211yescharacteristic, complemented
155#15689258C2211yescharacteristic, complemented
156#15689257C2211yescharacteristic, complemented
157#15689255C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689232C2211yescharacteristic, complemented
160#15689222C2211yescharacteristic, complemented
161#15689222C2211yescharacteristic, complemented
162#15689220C2211yescharacteristic, complemented
163#15689217C2211yescharacteristic, complemented
164#15689214C2211yescharacteristic, complemented
165#15689205C2211yescharacteristic, complemented
166#15689203C2211yescharacteristic, complemented
167#15689194C2211yescharacteristic, complemented
168#15689194C2211yescharacteristic, complemented
169#15689191C2211yescharacteristic, complemented
170#15689191C2211yescharacteristic, complemented
171C8×C22⋊D47C2211yescharacteristic, complemented
172C8×C22⋊D47C2211yescharacteristic, complemented
173(C22⋊D47)⋊C8C2211yescharacteristic, complemented
174(C22⋊D47)⋊C8C2211yescharacteristic, complemented
175#15689181C2211yescharacteristic, complemented
176#15689181C2211yescharacteristic, complemented
177#15689126C2211yescharacteristic, complemented
178#15689121C2211yescharacteristic, complemented
179#15689120C2211yescharacteristic, complemented
180#15689120C2211yescharacteristic, complemented
181#15689116C2211yescharacteristic, complemented
182C2×#13093947C2211yescharacteristic, complemented
183C2×#13093944C2211yescharacteristic, complemented
184#102×D47C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186#15689088C2211yescharacteristic, complemented
187C2×C22⋊(C47⋊C8)C2211yescharacteristic, complemented
188C2×#121×C47C2211yescharacteristic, complemented
189C2×#121×C47C2211yescharacteristic, complemented
190C47×#480C2211yescharacteristic, complemented
191C47×#480C2211yescharacteristic, complemented
192C47×#480C2211yescharacteristic, complemented
193C47×#480C2211yescharacteristic, complemented
194C47×#466C2211yescharacteristic, complemented
195C47×#466C2211yescharacteristic, complemented
196C47×#466C2211yescharacteristic, complemented
197C47×#466C2211yescharacteristic, complemented
198C47×#447C2211yescharacteristic, complemented
199C47×#447C2211yescharacteristic, complemented
200C47×#447C2211yescharacteristic, complemented
201C47×#447C2211yescharacteristic, complemented
202C2×C22⋊C8×C47C2211yescharacteristic, complemented
203#13094069—42no—
204#13094069—42no—
205C2×#10625350—21no—
206C2×#10625350—21no—
207C2×#10625350—21no—
208C2×#10625350—42no—
209C2×#10625350—42no—
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×#10625350C2311yescharacteristic
214C2×#10625350C2311yescharacteristic
215C2×#10625350C2311yescharacteristic
216C2×#10625352—21no—
217C2×#10625352C2311yescharacteristic
218C2×#10625352C2311yescharacteristic
219C2×#10625352C2311yescharacteristic
220C22×Dic94C2311yescharacteristic
221C22×D188C2311yescharacteristic
222C22×C22⋊D47—21no—
223C22×C22⋊D47—21no—
224C22×C22⋊D47—21no—
225C22×C22⋊D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47—21no—
228C2×D4×D47—21no—
229C2×D4×D47C2311yescharacteristic
230C2×D4×D47C2311yescharacteristic
231C2×D4×D47C2311yescharacteristic
232C22×C4×D47—21no—
233#13094048—42no—
234#13094048—42no—
235#13094046—42no—
236#13094046—42no—
237#13094043—42no—
238C2×Dic188C2311yescharacteristic
239C2×Dic188C2311yescharacteristic
240C2×#10625325C2311yescharacteristic
241C2×#10625325C2311yescharacteristic
242C2×#10625325C2311yescharacteristic
243C2×#10625325C2311yescharacteristic
244C2×#10625335—42no—
245C2×#10625335C2311yescharacteristic
246C2×#10625335C2311yescharacteristic
247C2×#10625335C2311yescharacteristic
248C2×#10625335C2311yescharacteristic
249C2×#10625335C2311yescharacteristic
250C2×#10625335C2311yescharacteristic
251C2×D376C2311yescharacteristic
252C2×D376C2311yescharacteristic
253C2×#10625334—42no—
254C2×#10625334C2311yescharacteristic
255C2×#10625334C2311yescharacteristic
256C2×#10625334C2311yescharacteristic
257C2×#10625334C2311yescharacteristic
258C2×#10625334C2311yescharacteristic
259C2×#10625334C2311yescharacteristic
260D8×D47—42no—
261C2×#10625324C2311yescharacteristic
262C2×#10625324C2311yescharacteristic
263C22×C47⋊C8C2311yescharacteristic
264C22×C47⋊C8C2311yescharacteristic
265C2×C8×D47C2311yescharacteristic
266C2×C8×D47C2311yescharacteristic
267#13094023C2311yescharacteristic
268#13094020—21no—
269#13094020—21no—
270#13094020—21no—
271#13094020—21no—
272#13094020C2311yescharacteristic
273#13094020C2311yescharacteristic
274#13094020C2311yescharacteristic
275#13094019—21no—
276#13094017—21no—
277#13094017—21no—
278#13094015C2311yescharacteristic
279#13094014—21no—
280#13094011—21no—
281#13094011—21no—
282#13094011C2311yescharacteristic
283#13094011C2311yescharacteristic
284#13094011C2311yescharacteristic
285#13094010—21no—
286#13094010—21no—
287#13094010—21no—
288#13094010—21no—
289#13094009—21no—
290#13094008—21no—
291#13094007—21no—
292#13094007—21no—
293#13094007—21no—
294#13094007D411yescharacteristic
295#13094007D411yescharacteristic
296#13094006—21no—
297#13094006—21no—
298#13094006—21no—
299#13094006—21no—
300#13094005—21no—
301#13094005—21no—
302#13094005—21no—
303#13094004—21no—
304#13094004C2311yescharacteristic
305#13094004C2311yescharacteristic
306#13094004C2311yescharacteristic
307#13094003D411yescharacteristic
308#13094003D411yescharacteristic
309#13094003C2311yescharacteristic
310#13094003C2311yescharacteristic
311#13094002—21no—
312#13094001—21no—
313#13094001—21no—
314#13094001—21no—
315#13094001—21no—
316#13093999—21no—
317#13093999C2311yescharacteristic
318#13093999C2311yescharacteristic
319#13093999C2311yescharacteristic
320#13093998—21no—
321#13093998—21no—
322#13093998D411yescharacteristic
323#13093998D411yescharacteristic
324#13093998C2311yescharacteristic
325#13093998C2311yescharacteristic
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#13093996—21no—
341#13093996—21no—
342#13093995—21no—
343#13093995—21no—
344#13093995—21no—
345#13093995—21no—
346#13093995—21no—
347#13093995—21no—
348#13093995—21no—
349#13093995—21no—
350#13093995C2311yescharacteristic
351#13093995C2311yescharacteristic
352#13093994—21no—
353#13093994—21no—
354#13093994—21no—
355#13093993—21no—
356#13093993—21no—
357#13093993—21no—
358#13093993—21no—
359#13093993—21no—
360#13093993D411yescharacteristic
361#13093993D411yescharacteristic
362#13093992—21no—
363#13093992—21no—
364#13093992—21no—
365#13093992—21no—
366#13093992—21no—
367#13093992—21no—
368#13093992—21no—
369#13093989C2311yescharacteristic
370#13093989C2311yescharacteristic
371#13093989C2311yescharacteristic
372D4×Dic47—21no—
373D4×Dic47—21no—
374D4×Dic47C2311yescharacteristic
375D4×Dic47C2311yescharacteristic
376#13093986C2311yescharacteristic
377#13093986C2311yescharacteristic
378#13093986C2311yescharacteristic
379C4×C22⋊D47—21no—
380C4×C22⋊D47—21no—
381C4×C22⋊D47—21no—
382C4×C22⋊D47—21no—
383C4×C22⋊D47C2311yescharacteristic
384C4×C22⋊D47C2311yescharacteristic
385C4×C22⋊D47C2311yescharacteristic
386C4×C22⋊D47C2311yescharacteristic
387(C22⋊D47)⋊C4—21no—
388(C22⋊D47)⋊C4—21no—
389(C22⋊D47)⋊C4—21no—
390(C22⋊D47)⋊C4—21no—
391#13093983—21no—
392#13093983C2311yescharacteristic
393#13093983C2311yescharacteristic
394#13093982—21no—
395#13093982C2311yescharacteristic
396#13093980—21no—
397C4⋊C4×D47—21no—
398C4⋊C4×D47C2311yescharacteristic
399C2×C22⋊Dic47—21no—
400C22⋊C4×D47—21no—
401C22⋊C4×D47—21no—
402C22⋊C4×D47—21no—
403#13093957C2311yescharacteristic
404#13093957C2311yescharacteristic
405#13093955C2311yescharacteristic
406#13093955C2311yescharacteristic
407Dic47⋊C8C2311yescharacteristic
408Dic47⋊C8C2311yescharacteristic
409Dic47⋊C8C2311yescharacteristic
410Dic47⋊C8C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093949C2311yescharacteristic
414#13093949C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093947C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432#13093944C2311yescharacteristic
433#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
447C22×D4×C47—21no—
448C22×D4×C47—21no—
449C22×D4×C47C2311yescharacteristic
450C22×D4×C47C2311yescharacteristic
451C23×C4×C47C2311yescharacteristic
452C2×D8×C47C2311yescharacteristic
453C2×D8×C47C2311yescharacteristic
454C2×D8×C47C2311yescharacteristic
455C2×D8×C47C2311yescharacteristic
456C22×C8×C47C2311yescharacteristic
457C22×C8×C47C2311yescharacteristic
458#121×C47—21no—
459#121×C47—21no—
460#121×C47—21no—
461#121×C47—21no—
462#121×C47C2311yescharacteristic
463#121×C47C2311yescharacteristic
464#121×C47C2311yescharacteristic
465#121×C47C2311yescharacteristic
466#121×C47C2311yescharacteristic
467#121×C47C2311yescharacteristic
468#121×C47C2311yescharacteristic
469#121×C47C2311yescharacteristic
470C2×C4⋊C4×C47C2311yescharacteristic
471C2×C4⋊C4×C47C2311yescharacteristic
472C2×C22⋊C4×C47—21no—
473C2×C22⋊C4×C47—21no—
474#107×C47C2311yescharacteristic
475#107×C47C2311yescharacteristic
476#107×C47C2311yescharacteristic
477#107×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×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—
491C24×C47—21no—
492C24×C47C2×D411yescharacteristic
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C23×D47—21no—
497C2×D4×C47—21no—
498C2×D4×C47—21no—
499C2×D4×C47—21no—
500C2×D4×C47—21no—
501C2×D4×C47—21no—
502C2×D4×C47—21no—
503C2×D4×C47—21no—
504C2×D4×C47—21no—
505C2×D4×C47—21no—
506C2×D4×C47—21no—
507C2×D4×C47—41no—
508C2×D4×C47—41no—
509C2×D4×C47—41no—
510C2×D4×C47—41no—
511C2×D4×C47—82no—
512C2×D4×C47—82no—
513C2×D4×C47C2411yescharacteristic
514C2×D4×C47C2411yescharacteristic
515C2×D4×C47C2411yescharacteristic
516C2×D4×C47C2411yescharacteristic
517C22×C4×C47—21no—
518C22×C4×C47—21no—
519C22×C4×C47—41no—
520C22×C4×C47—41no—
521C22×C4×C47C2×D411yescharacteristic
522C22×C4×C47C2×D411yescharacteristic
523C22×C4×C47C2×D411yescharacteristic
524C22×C4×C47C2411yescharacteristic
525C22×C4×C47C2411yescharacteristic
526C22×C4×C47C2411yescharacteristic
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—21no—
546C2×C22⋊D47—21no—
547C2×C22⋊D47—21no—
548C2×C22⋊D47—44no—
549C2×C22⋊D47—44no—
550C2×C22⋊D47—44no—
551C2×C22⋊D47—82no—
552C2×C22⋊D47C2×D411yescharacteristic
553C2×C22⋊D47C2×D411yescharacteristic
554C2×C22⋊D47C2×D411yescharacteristic
555C2×C22⋊D47C2×D411yescharacteristic
556C2×C22⋊D47C2×D411yescharacteristic
557C2×C22⋊D47C2×D411yescharacteristic
558C22×Dic47—21no—
559C22×Dic47—21no—
560C22×Dic47—21no—
561C22×Dic47—21no—
562C22×Dic47—21no—
563C22×Dic47—21no—
564#10625352—22no—
565#10625352—22no—
566#10625352—41no—
567#10625352—41no—
568#10625352—41no—
569#10625352—41no—
570#10625352—44no—
571D4×D47—22no—
572D4×D47—22no—
573D4×D47—41no—
574D4×D47—41no—
575D4×D47—41no—
576D4×D47—41no—
577D4×D47—44no—
578D4×D47—82no—
579D4×D47—82no—
580#10625350—22no—
581#10625350—22no—
582#10625350—22no—
583#10625350—22no—
584#10625350—41no—
585#10625350—41no—
586#10625350—41no—
587#10625350—41no—
588#10625350—41no—
589#10625350—41no—
590#10625350—41no—
591#10625350—41no—
592#10625350—44no—
593#10625350—44no—
594#10625350—82no—
595C2×D188—22no—
596C2×D188—21no—
597C2×D188—21no—
598C2×D188—21no—
599C2×D188—21no—
600C2×D188—41no—
601C2×D188C2×D411yescharacteristic
602C2×D188C2411yescharacteristic
603C2×D188C2411yescharacteristic
604C2×D188C2411yescharacteristic
605C2×C4×D47—21no—
606C2×C4×D47—21no—
607C2×C4×D47—21no—
608C2×C4×D47—21no—
609C2×C4×D47—21no—
610C2×C4×D47—21no—
611C2×C4×D47—21no—
612C2×C4×D47—21no—
613C2×C4×D47—21no—
614C2×C4×D47—44no—
615C2×C4×D47C2411yescharacteristic
616C2×C4×D47C2411yescharacteristic
617C2×Dic94—22no—
618C2×Dic94—21no—
619C2×Dic94—21no—
620C2×Dic94—41no—
621C2×Dic94C2×D411yescharacteristic
622C2×Dic94C2411yescharacteristic
623C2×Dic94C2411yescharacteristic
624C2×Dic94C2411yescharacteristic
625D8×C47—41no—
626D8×C47—41no—
627D8×C47—41no—
628D8×C47—41no—
629C2×C8×C47—41no—
630C2×C8×C47—41no—
631C2×C8×C47C2411yescharacteristic
632C2×C8×C47C2411yescharacteristic
633C2×C8×C47C2411yescharacteristic
634C2×C8×C47C2411yescharacteristic
635C4⋊C4×C47—21no—
636C4⋊C4×C47—21no—
637C4⋊C4×C47C2411yescharacteristic
638C4⋊C4×C47C2411yescharacteristic
639C4⋊C4×C47C2411yescharacteristic
640C4⋊C4×C47C2411yescharacteristic
641C22⋊C4×C47—21no—
642C22⋊C4×C47—21no—
643C22⋊C4×C47—21no—
644C22⋊C4×C47—21no—
645C22⋊C4×C47—21no—
646C22⋊C4×C47—21no—
647C22⋊C4×C47—21no—
648C22⋊C4×C47—21no—
649C22⋊Dic47—21no—
650C22⋊Dic47—21no—
651C22⋊Dic47—21no—
652C22⋊Dic47—21no—
653C22⋊Dic47—21no—
654C22⋊Dic47—21no—
655C22⋊Dic47—21no—
656C22⋊Dic47—21no—
657C22⋊Dic47—21no—
658C22⋊Dic47—21no—
659C22⋊Dic47—21no—
660C22⋊Dic47—21no—
661C22⋊Dic47—21no—
662C22⋊Dic47C2×D411yescharacteristic
663C22⋊Dic47C2×D411yescharacteristic
664C22⋊Dic47C2×D411yescharacteristic
665C22⋊Dic47C2×D411yescharacteristic
666C22⋊Dic47C2×D411yescharacteristic
667C22⋊Dic47C2×D411yescharacteristic
668#10625335—22no—
669#10625335—22no—
670#10625335—41no—
671#10625335—41no—
672#10625335—41no—
673#10625335—41no—
674#10625334—22no—
675#10625334—22no—
676#10625334—41no—
677#10625334—41no—
678#10625334—41no—
679#10625334—41no—
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)⋊C4—21no—
690(C2×D47)⋊C4—21no—
691(C2×D47)⋊C4—21no—
692(C2×D47)⋊C4C2×D411yescharacteristic
693(C2×D47)⋊C4C2×D411yescharacteristic
694(C2×D47)⋊C4C2×D411yescharacteristic
695(C2×D47)⋊C4C2×D411yescharacteristic
696C4⋊Dic47—21no—
697C4⋊Dic47—21no—
698C4⋊Dic47—21no—
699C4⋊Dic47—21no—
700C4⋊Dic47C2×D411yescharacteristic
701C4⋊Dic47C2×D411yescharacteristic
702C4⋊Dic47C2411yescharacteristic
703C4⋊Dic47C2411yescharacteristic
704Dic47⋊C4—21no—
705Dic47⋊C4—21no—
706Dic47⋊C4—21no—
707Dic47⋊C4—21no—
708Dic47⋊C4—21no—
709Dic47⋊C4—21no—
710Dic47⋊C4—21no—
711Dic47⋊C4—21no—
712Dic47⋊C4C2×D411yescharacteristic
713Dic47⋊C4C2×D411yescharacteristic
714Dic47⋊C4C2×D411yescharacteristic
715Dic47⋊C4C2×D411yescharacteristic
716C4×Dic47—21no—
717C4×Dic47—21no—
718C4×Dic47—21no—
719C4×Dic47—21no—
720C4×Dic47—21no—
721C4×Dic47C2411yescharacteristic
722C4×Dic47C2411yescharacteristic
723C2×C47⋊C8—41no—
724C2×C47⋊C8—41no—
725C2×C47⋊C8C2411yescharacteristic
726C2×C47⋊C8C2411yescharacteristic
727C2×C47⋊C8C2411yescharacteristic
728C2×C47⋊C8C2411yescharacteristic
729Dic188—22no—
730Dic188—41no—
731D376—22no—
732D376—41no—
733#10625325—22no—
734#10625325—22no—
735#10625325—41no—
736#10625325—41no—
737#10625324—41no—
738#10625324—41no—
739C8×D47—41no—
740C8×D47—41no—
741C23×C47—22no—
742C23×C47—21no—
743C23×C47—21no—
744C23×C47—21no—
745C23×C47—21no—
746C23×C47—41no—
747C23×C47—41no—
748C23×C47—42no—
749C23×C47—42no—
750C23×C47—81no—
751C23×C47—81no—
752C23×C47—81no—
753C23×C47—81no—
754C23×C47C22×D411yescharacteristic
755C23×C47C22×D411yescharacteristic
756C23×C47C22×D411yescharacteristic
757C22×D47—21no—
758C22×D47—21no—
759C22×D47—21no—
760C22×D47—42no—
761C22×D47—42no—
762C22×D47—42no—
763C22×D47—42no—
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×D47C22×D411yescharacteristic
773C22×D47C22×D411yescharacteristic
774D4×C47—21no—
775D4×C47—21no—
776D4×C47—21no—
777D4×C47—21no—
778D4×C47—21no—
779D4×C47—21no—
780D4×C47—21no—
781D4×C47—21no—
782D4×C47—42no—
783D4×C47—42no—
784D4×C47—42no—
785D4×C47—81no—
786D4×C47—81no—
787D4×C47—81no—
788D4×C47—81no—
789D4×C47—81no—
790D4×C47—81no—
791D4×C47—81no—
792C2×C4×C47—21no—
793C2×C4×C47—21no—
794C2×C4×C47—21no—
795C2×C4×C47—21no—
796C2×C4×C47—21no—
797C2×C4×C47—21no—
798C2×C4×C47—21no—
799C2×C4×C47—21no—
800C2×C4×C47—21no—
801C2×C4×C47—21no—
802C2×C4×C47—41no—
803C2×C4×C47—41no—
804C2×C4×C47—41no—
805C2×C4×C47—42no—
806C2×C4×C47—81no—
807C2×C4×C47C22×D411yescharacteristic
808C2×C4×C47C22×D411yescharacteristic
809C2×C4×C47C22×D411yescharacteristic
810C2×C4×C47C2511yescharacteristic
811C22⋊D47—24no—
812C22⋊D47—22no—
813C22⋊D47—22no—
814C22⋊D47—41no—
815C22⋊D47—41no—
816C22⋊D47—41no—
817C22⋊D47—41no—
818C22⋊D47—42no—
819C22⋊D47—42no—
820C22⋊D47—42no—
821C22⋊D47—42no—
822C22⋊D47—42no—
823C22⋊D47—42no—
824C22⋊D47—42no—
825C22⋊D47—42no—
826C22⋊D47—81no—
827C22⋊D47—81no—
828C22⋊D47—81no—
829C22⋊D47—81no—
830C22⋊D47—81no—
831C22⋊D47—81no—
832C22⋊D47—81no—
833C22⋊D47—81no—
834C22⋊D47—81no—
835C22⋊D47—81no—
836C22⋊D47—81no—
837C22⋊D47—81no—
838C2×Dic47—21no—
839C2×Dic47—21no—
840C2×Dic47—21no—
841C2×Dic47—21no—
842C2×Dic47—21no—
843C2×Dic47—42no—
844C2×Dic47—42no—
845C2×Dic47—42no—
846C2×Dic47—81no—
847C2×Dic47—81no—
848C2×Dic47—81no—
849C2×Dic47C22×D411yescharacteristic
850C2×Dic47C22×D411yescharacteristic
851C2×Dic47C22×D411yescharacteristic
852C2×Dic47C22×D411yescharacteristic
853C2×Dic47C22×D411yescharacteristic
854C2×Dic47C22×D411yescharacteristic
855D188—21no—
856D188—21no—
857D188—21no—
858D188—21no—
859D188—21no—
860D188—41no—
861D188—42no—
862D188—81no—
863D188—81no—
864D188—81no—
865D188H(5,𝔽2)12yes—
866C4×D47—24no—
867C4×D47—21no—
868C4×D47—21no—
869C4×D47—21no—
870C4×D47—21no—
871C4×D47—42no—
872C4×D47—42no—
873C4×D47—42no—
874C4×D47—81no—
875C4×D47—81no—
876C4×D47—81no—
877C4×D47—81no—
878C4×D47—81no—
879Dic94—21no—
880Dic94—21no—
881Dic94—21no—
882Dic94—21no—
883Dic94—21no—
884Dic94—41no—
885Dic94—42no—
886Dic94—81no—
887Dic94H(5,𝔽2)12yes—
888C8×C47—21no—
889C8×C47—21no—
890C8×C47—21no—
891C8×C47—21no—
892C47⋊C8—21no—
893C47⋊C8—21no—
894C47⋊C8—21no—
895C47⋊C8—21no—
896#61639—471nomaximal, Sylow
897C22×C47—21no—
898C22×C47—21no—
899C22×C47—21no—
900C22×C47—21no—
901C22×C47—21no—
902C22×C47—21no—
903C22×C47—21no—
904C22×C47—21no—
905C22×C47—41no—
906C22×C47—41no—
907C22×C47—41no—
908C22×C47—41no—
909C22×C47—41no—
910C22×C47—41no—
911C22×C47—41no—
912C22×C47—41no—
913C22×C47—41no—
914C22×C47—41no—
915C22×C47—41no—
916C22×C47—41no—
917C22×C47—82no—
918C22×C47—162no—
919C22×C47—162no—
920C22×C47#57612yes—
921C22×C47C23×D411yescharacteristic
922C2×D47—21no—
923C2×D47—21no—
924C2×D47—22no—
925C2×D47—21no—
926C2×D47—21no—
927C2×D47—21no—
928C2×D47—21no—
929C2×D47—41no—
930C2×D47—41no—
931C2×D47—41no—
932C2×D47—41no—
933C2×D47—41no—
934C2×D47—41no—
935C2×D47—41no—
936C2×D47—41no—
937C2×D47—84no—
938C2×D47—162no—
939C2×D47—162no—
940C2×D47—162no—
941C4×C47—21no—
942C4×C47—21no—
943C4×C47—21no—
944C4×C47—41no—
945C4×C47—41no—
946C4×C47—41no—
947C4×C47—41no—
948C4×C47C2×H(5,𝔽2)11yescharacteristic
949C4×C47C2×H(5,𝔽2)11yescharacteristic
950Dic47—21no—
951Dic47—21no—
952Dic47—22no—
953Dic47—21no—
954Dic47—21no—
955Dic47—21no—
956Dic47—21no—
957Dic47—41no—
958Dic47—41no—
959Dic47—41no—
960Dic47—41no—
961#3542—471no—
962#3488—471no—
963#3319—471no—
964#3310—471no—
965#3309—471no—
966#3308—471no—
967#3305—471no—
968#3300—471no—
969#3297—471no—
970#3294—471no—
971#3287—471no—
972#3282—471no—
973#3280—471no—
974D4×D8—471no—
975#3268—471no—
976#3268—471no—
977#3265—471no—
978#3264—471no—
979#3224—471no—
980#3220—471no—
981#3203—471no—
982#3198—471no—
983#3188—471no—
984#3186D4711yescharacteristic, complemented
985#3124—471no—
986#3119—471no—
987#3012—471no—
988#3008—471no—
989#3002—471no—
990C2×#449—471no—
991#2977—471no—
992C2×C47—22no—
993C2×C47—41no—
994C2×C47—41no—
995C2×C47—81no—
996C2×C47—81no—
997C2×C47—81no—
998C2×C47—81no—
999C2×C47#348411yescharacteristic
1000C2×C47C2×#57611yescharacteristic
1001C2×C47#358411yescharacteristic
1002D47—41no—
1003D47—41no—
1004D47—42no—
1005D47—81no—
1006D47—81no—
1007C2×H(5,𝔽2)—471no—
1008C22×#41—471no—
1009C2×AGL(1,ℤ/8)—471no—
1010C2×AGL(1,ℤ/8)—471no—
1011C2×#135—471no—
1012C2×#135—471no—
1013C2×#135—471no—
1014C22×SD16—471no—
1015C22×D8—471no—
1016C22×D8—471no—
1017#562—941no—
1018#560—941no—
1019#555—471no—
1020#553—471no—
1021#552—471no—
1022#551—941no—
1023#550—471no—
1024#550—471no—
1025#550—471no—
1026#548—471no—
1027#548—471no—
1028#547—471no—
1029#546—471no—
1030#546—471no—
1031#546—471no—
1032#546—471no—
1033#546—941no—
1034#546—941no—
1035#546—941no—
1036D42—471no—
1037D42—471no—
1038D42—471no—
1039D42—941no—
1040D42—941no—
1041#542—471no—
1042#540—471no—
1043#540—941no—
1044#538—941no—
1045#537—471no—
1046#537—471no—
1047#537—941no—
1048#535—471no—
1049#535—471no—
1050#535—941no—
1051#535—941no—
1052#534—941no—
1053#525—471no—
1054#525—471no—
1055#525—941no—
1056C2×#121—941no—
1057C2×#121C2×D4711yescharacteristic, complemented
1058C2×#121C2×D4711yescharacteristic, complemented
1059#520—471no—
1060#496—471no—
1061#496—471no—
1062#495—471no—
1063#493—471no—
1064#490—471no—
1065#489—471no—
1066#488—471no—
1067#486—471no—
1068#485—471no—
1069#484—471no—
1070#484—471no—
1071#482—471no—
1072#482—471no—
1073#482—471no—
1074#481—471no—
1075#480—471no—
1076#480C2×D4711yescharacteristic, complemented
1077#480C2×D4711yescharacteristic, complemented
1078#480C2×D4711yescharacteristic, complemented
1079#480C2×D4711yescharacteristic, complemented
1080#479—471no—
1081#478—471no—
1082#477—471no—
1083#474—471no—
1084#469—471no—
1085#468—471no—
1086#468—471no—
1087#468—471no—
1088#467—471no—
1089#466—471no—
1090#466—471no—
1091#466—471no—
1092#466—471no—
1093#466C2×D4711yescharacteristic, complemented
1094#466C2×D4711yescharacteristic, complemented
1095#466C2×D4711yescharacteristic, complemented
1096#466C2×D4711yescharacteristic, complemented
1097#465—471no—
1098#465—471no—
1099#465—471no—
1100#464—471no—
1101#464—471no—
1102#463—471no—
1103#463—471no—
1104#463—471no—
1105#463—471no—
1106#460—471no—
1107#460—471no—
1108#459—471no—
1109#459—471no—
1110#459—471no—
1111#459—471no—
1112#452—471no—
1113#452—471no—
1114#452—471no—
1115#452—471no—
1116#451—471no—
1117#450—471no—
1118#450—471no—
1119#450—471no—
1120#450—471no—
1121#449—471no—
1122#449—471no—
1123#449—471no—
1124#449—471no—
1125#449—471no—
1126#449—471no—
1127#449—471no—
1128#449—471no—
1129#449—471no—
1130#449—471no—
1131#449—471no—
1132#449—471no—
1133#449—471no—
1134#449—471no—
1135#449—471no—
1136#449—471no—
1137#448—471no—
1138#447—471no—
1139#447—471no—
1140#447—471no—
1141#447—471no—
1142#447—471no—
1143#447—471no—
1144#447C2×D4711yescharacteristic, complemented
1145#447C2×D4711yescharacteristic, complemented
1146#447C2×D4711yescharacteristic, complemented
1147#447C2×D4711yescharacteristic, complemented
1148#442—471no—
1149#440—471no—
1150#440—471no—
1151#440—471no—
1152C4×Q16—471no—
1153C4×SD16—471no—
1154C4×D8—471no—
1155C4×D8—471no—
1156#435—471no—
1157#435—471no—
1158#435—471no—
1159#435—471no—
1160C8×D4—471no—
1161C8×D4—471no—
1162C8×D4—471no—
1163C8×D4—471no—
1164#433—471no—
1165#433—471no—
1166#418—471no—
1167#417—471no—
1168#416—471no—
1169#416—471no—
1170#416—471no—
1171C2×#103—471no—
1172C2×#102—471no—
1173C2×#102—471no—
1174#408—471no—
1175#408—471no—
1176C2×C22⋊C8—471no—
1177C2×C22⋊C8C2×D4711yescharacteristic, complemented
1178C47#6163911yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—1882no—
1180H(5,𝔽2)—1882no—
1181C2×#41—471no—
1182C2×#41—471no—
1183C2×#41—471no—
1184C2×#41—471no—
1185C2×#41—471no—
1186C2×#41—471no—
1187C2×#41—471no—
1188C2×#41—471no—
1189C2×#41—471no—
1190C2×#41—941no—
1191C2×#41—941no—
1192C2×#41—941no—
1193C2×#41—941no—
1194C2×#41—1882no—
1195C2×#41—1882no—
1196C22×Q8—471no—
1197C22×D4—21no—
1198C22×D4—21no—
1199C22×D4—471no—
1200C22×D4—471no—
1201C22×D4—471no—
1202C22×D4—471no—
1203C22×D4—941no—
1204C22×D4—941no—
1205C22×D4—941no—
1206C22×D4—941no—
1207C22×D4—941no—
1208C22×D4—941no—
1209C22×D4—941no—
1210C22×D4C22×D4711yescharacteristic
1211C22×D4C22×D4711yescharacteristic
1212C23×C4—941no—
1213C23×C4C22×D4711yescharacteristic
1214AGL(1,ℤ/8)—1882no—
1215AGL(1,ℤ/8)—1882no—
1216#135—1882no—
1217#135—1882no—
1218#135—1882no—
1219C2×Q16—471no—
1220C2×Q16—471no—
1221C2×SD16—471no—
1222C2×SD16—471no—
1223C2×SD16—471no—
1224C2×SD16—471no—
1225C2×SD16—471no—
1226C2×SD16—471no—
1227C2×SD16—471no—
1228C2×SD16—471no—
1229C2×SD16—471no—
1230C2×SD16—471no—
1231C2×SD16—1882no—
1232C2×D8—471no—
1233C2×D8—471no—
1234C2×D8—471no—
1235C2×D8—471no—
1236C2×D8—471no—
1237C2×D8—471no—
1238C2×D8—471no—
1239C2×D8—471no—
1240C2×D8—1882no—
1241C2×D8—1882no—
1242C2×D8C22×D4711yescharacteristic
1243C2×D8C22×D4711yescharacteristic
1244C2×D8C22×D4711yescharacteristic
1245C2×D8C22×D4711yescharacteristic
1246C2×M16—471no—
1247C2×M16—471no—
1248C22×C8—471no—
1249C22×C8—471no—
1250C22×C8—471no—
1251C22×C8—471no—
1252C22×C8C22×D4711yescharacteristic
1253C22×C8C22×D4711yescharacteristic
1254C4⋊Q8—471no—
1255#127—471no—
1256#127—471no—
1257#127—471no—
1258#127—941no—
1259#127—941no—
1260#127—941no—
1261#127—941no—
1262#126—941no—
1263#126—941no—
1264#126—941no—
1265#125—471no—
1266#125—941no—
1267#124—471no—
1268#124—471no—
1269#124—471no—
1270#124—941no—
1271#124—941no—
1272#124—941no—
1273#124—941no—
1274#124—941no—
1275#124—941no—
1276#123—471no—
1277#123—471no—
1278#123—941no—
1279#123—941no—
1280#123—941no—
1281#123—941no—
1282#123—941no—
1283#123—941no—
1284#123—941no—
1285#123—941no—
1286#123—941no—
1287#123—941no—
1288#123—941no—
1289#123—941no—
1290C22⋊Q8—471no—
1291C22⋊Q8—471no—
1292C22⋊Q8—471no—
1293C22⋊Q8—471no—
1294C22⋊Q8—471no—
1295C22⋊Q8—471no—
1296C22⋊Q8—471no—
1297C22⋊Q8—941no—
1298C22⋊Q8—941no—
1299C22⋊Q8—941no—
1300C22⋊Q8—941no—
1301C22⋊Q8—941no—
1302C22⋊Q8—941no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—471no—
1308#121—471no—
1309#121—471no—
1310#121—471no—
1311#121—471no—
1312#121—471no—
1313#121—471no—
1314#121—471no—
1315#121—471no—
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#121—941no—
1334#121—941no—
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#121C22×D4711yescharacteristic
1344#121C22×D4711yescharacteristic
1345#121C22×D4711yescharacteristic
1346#121C22×D4711yescharacteristic
1347#121C22×D4711yescharacteristic
1348#121C22×D4711yescharacteristic
1349#121C22×D4711yescharacteristic
1350#121C22×D4711yescharacteristic
1351#120—471no—
1352#120—471no—
1353#120—941no—
1354#120—941no—
1355#120—941no—
1356#120—941no—
1357#120—941no—
1358#120—941no—
1359#120—941no—
1360#120—941no—
1361#120—941no—
1362#120—941no—
1363#120—941no—
1364#120—941no—
1365#120—941no—
1366#120—941no—
1367#120—941no—
1368C4×Q8—471no—
1369C4×Q8—471no—
1370C4×Q8—471no—
1371C4×D4—471no—
1372C4×D4—471no—
1373C4×D4—471no—
1374C4×D4—471no—
1375C4×D4—471no—
1376C4×D4—471no—
1377C4×D4—471no—
1378C4×D4—471no—
1379C4×D4—471no—
1380C4×D4—941no—
1381C4×D4—941no—
1382C4×D4—941no—
1383C4×D4—941no—
1384C4×D4—941no—
1385C4×D4—941no—
1386C4×D4—941no—
1387C4×D4—941no—
1388C4×D4—941no—
1389C4×D4—941no—
1390#117—471no—
1391#117—471no—
1392#117—471no—
1393#117—941no—
1394#117—941no—
1395#117—941no—
1396C2×C4⋊C4—471no—
1397C2×C4⋊C4—941no—
1398C2×C4⋊C4C22×D4711yescharacteristic
1399C2×C4⋊C4C22×D4711yescharacteristic
1400C2×C22⋊C4—21no—
1401C2×C22⋊C4—21no—
1402C2×C22⋊C4—941no—
1403C2×C22⋊C4—941no—
1404C2×C22⋊C4—941no—
1405C2×C22⋊C4—941no—
1406#107—471no—
1407#107—471no—
1408#107C22×D4711yescharacteristic
1409#107C22×D4711yescharacteristic
1410#107C22×D4711yescharacteristic
1411#107C22×D4711yescharacteristic
1412#106—471no—
1413#106—471no—
1414C4⋊C8—471no—
1415C4⋊C8—471no—
1416C4⋊C8—471no—
1417C4⋊C8—471no—
1418#103—471no—
1419#103—471no—
1420#103—471no—
1421#103—471no—
1422#103—471no—
1423#103—471no—
1424#103—471no—
1425#103—471no—
1426#103—471no—
1427#103—471no—
1428#102—471no—
1429#102—471no—
1430#102—471no—
1431#102—471no—
1432#102—471no—
1433#102—471no—
1434#102—471no—
1435#102—471no—
1436#102—471no—
1437#102—471no—
1438#102—471no—
1439#102—471no—
1440#102—471no—
1441#102—471no—
1442#102C22×D4711yescharacteristic
1443#102C22×D4711yescharacteristic
1444#102C22×D4711yescharacteristic
1445#102C22×D4711yescharacteristic
1446#102C22×D4711yescharacteristic
1447#102C22×D4711yescharacteristic
1448#102C22×D4711yescharacteristic
1449#102C22×D4711yescharacteristic
1450C22⋊C8—471no—
1451C22⋊C8—471no—
1452C22⋊C8—471no—
1453C22⋊C8—471no—
1454C22⋊C8—471no—
1455C22⋊C8—471no—
1456C22⋊C8—471no—
1457C22⋊C8—471no—
1458C22⋊C8C22×D4711yescharacteristic
1459C22⋊C8C22×D4711yescharacteristic
1460C22⋊C8C22×D4711yescharacteristic
1461C22⋊C8C22×D4711yescharacteristic
1462#97—471no—
1463#97—471no—
1464C4×C8—471no—
1465C4×C8—471no—
1466C24—21no—
1467C24—21no—
1468C24—941no—
1469C24—941no—
1470C24—941no—
1471C24—941no—
1472C24D4×D4711yescharacteristic
1473#41—942no—
1474#41—942no—
1475#41—942no—
1476#41—942no—
1477#41—942no—
1478#41—942no—
1479#41—3762no—
1480#41—1881no—
1481#41—1881no—
1482#41—1881no—
1483#41—1881no—
1484#41—1881no—
1485#41—1881no—
1486#41—1881no—
1487#41—1881no—
1488#41—1884no—
1489#41—1884no—
1490#41—1881no—
1491#41—1881no—
1492#41—1881no—
1493#41—1881no—
1494#41—1884no—
1495C2×Q8—471no—
1496C2×Q8—471no—
1497C2×Q8—471no—
1498C2×Q8—471no—
1499C2×Q8—941no—
1500C2×Q8—942no—
1501C2×Q8—941no—
1502C2×Q8—1881no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—41no—
1514C2×D4—41no—
1515C2×D4—41no—
1516C2×D4—41no—
1517C2×D4—82no—
1518C2×D4—82no—
1519C2×D4—471no—
1520C2×D4—471no—
1521C2×D4—471no—
1522C2×D4—471no—
1523C2×D4—471no—
1524C2×D4—471no—
1525C2×D4—471no—
1526C2×D4—471no—
1527C2×D4—471no—
1528C2×D4—471no—
1529C2×D4—942no—
1530C2×D4—941no—
1531C2×D4—941no—
1532C2×D4—941no—
1533C2×D4—941no—
1534C2×D4—941no—
1535C2×D4—941no—
1536C2×D4—941no—
1537C2×D4—941no—
1538C2×D4—941no—
1539C2×D4—941no—
1540C2×D4—941no—
1541C2×D4—941no—
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—3762no—
1558C2×D4—3762no—
1559C2×D4—3762no—
1560C2×D4—1881no—
1561C2×D4—1881no—
1562C2×D4—1881no—
1563C2×D4—1881no—
1564C2×D4—1881no—
1565C2×D4—1884no—
1566C2×D4—1884no—
1567C2×D4—1884no—
1568C2×D4—1884no—
1569C2×D4C23×D4711yescharacteristic
1570C2×D4C23×D4711yescharacteristic
1571C2×D4C23×D4711yescharacteristic
1572C2×D4C23×D4711yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—41no—
1576C22×C4—41no—
1577C22×C4—471no—
1578C22×C4—471no—
1579C22×C4—941no—
1580C22×C4—941no—
1581C22×C4—941no—
1582C22×C4—941no—
1583C22×C4—941no—
1584C22×C4—941no—
1585C22×C4—941no—
1586C22×C4—941no—
1587C22×C4—941no—
1588C22×C4—941no—
1589C22×C4—941no—
1590C22×C4—941no—
1591C22×C4—941no—
1592C22×C4—941no—
1593C22×C4—941no—
1594C22×C4—1884no—
1595C22×C4D4×D4711yescharacteristic
1596C22×C4D4×D4711yescharacteristic
1597C22×C4D4×D4711yescharacteristic
1598C22×C4C23×D4711yescharacteristic
1599C22×C4C23×D4711yescharacteristic
1600C22×C4C23×D4711yescharacteristic
1601Q16—942no—
1602Q16—1881no—
1603SD16—942no—
1604SD16—942no—
1605SD16—942no—
1606SD16—942no—
1607SD16—1881no—
1608SD16—1881no—
1609SD16—1881no—
1610SD16—1881no—
1611SD16—1881no—
1612SD16—1881no—
1613D8—41no—
1614D8—41no—
1615D8—41no—
1616D8—41no—
1617D8—942no—
1618D8—942no—
1619D8—942no—
1620D8—1881no—
1621D8—1881no—
1622D8—1881no—
1623D8—1881no—
1624D8—1881no—
1625M16—1881no—
1626M16—1881no—
1627C2×C8—41no—
1628C2×C8—41no—
1629C2×C8—471no—
1630C2×C8—471no—
1631C2×C8—471no—
1632C2×C8—471no—
1633C2×C8—1881no—
1634C2×C8—1881no—
1635C2×C8—1881no—
1636C2×C8—1881no—
1637C2×C8C23×D4711yescharacteristic
1638C2×C8C23×D4711yescharacteristic
1639C2×C8C23×D4711yescharacteristic
1640C2×C8C23×D4711yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—471no—
1644C4⋊C4—471no—
1645C4⋊C4—471no—
1646C4⋊C4—471no—
1647C4⋊C4—471no—
1648C4⋊C4—471no—
1649C4⋊C4—471no—
1650C4⋊C4—471no—
1651C4⋊C4—941no—
1652C4⋊C4—941no—
1653C4⋊C4—941no—
1654C4⋊C4—941no—
1655C4⋊C4—941no—
1656C4⋊C4—941no—
1657C4⋊C4—941no—
1658C4⋊C4—941no—
1659C4⋊C4—941no—
1660C4⋊C4—941no—
1661C4⋊C4—941no—
1662C4⋊C4—941no—
1663C4⋊C4C23×D4711yescharacteristic
1664C4⋊C4C23×D4711yescharacteristic
1665C4⋊C4C23×D4711yescharacteristic
1666C4⋊C4C23×D4711yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—471no—
1676C22⋊C4—471no—
1677C22⋊C4—471no—
1678C22⋊C4—471no—
1679C22⋊C4—471no—
1680C22⋊C4—471no—
1681C22⋊C4—471no—
1682C22⋊C4—471no—
1683C22⋊C4—471no—
1684C22⋊C4—471no—
1685C22⋊C4—941no—
1686C22⋊C4—941no—
1687C22⋊C4—941no—
1688C22⋊C4—941no—
1689C22⋊C4—941no—
1690C22⋊C4—941no—
1691C22⋊C4—941no—
1692C22⋊C4—941no—
1693C22⋊C4—941no—
1694C22⋊C4—941no—
1695C22⋊C4—941no—
1696C22⋊C4—941no—
1697C22⋊C4—941no—
1698C22⋊C4—941no—
1699C22⋊C4—941no—
1700C22⋊C4—941no—
1701C22⋊C4—941no—
1702C22⋊C4—941no—
1703C22⋊C4—941no—
1704C22⋊C4—941no—
1705C22⋊C4—941no—
1706C22⋊C4—941no—
1707C22⋊C4—941no—
1708C22⋊C4—941no—
1709C22⋊C4—941no—
1710C42—471no—
1711C42—471no—
1712C42—941no—
1713C42—941no—
1714C42—941no—
1715C42—941no—
1716C42—941no—
1717C23—22no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—41no—
1723C23—41no—
1724C23—42no—
1725C23—42no—
1726C23—81no—
1727C23—81no—
1728C23—81no—
1729C23—81no—
1730C23—471no—
1731C23—471no—
1732C23—941no—
1733C23—941no—
1734C23—941no—
1735C23—3761no—
1736C23—3761no—
1737C23—3761no—
1738C23—3761no—
1739C23—3761no—
1740C23—3761no—
1741C23—3761no—
1742C23—3761no—
1743C23—1882no—
1744C23—1882no—
1745C23—1882no—
1746C23—1882no—
1747C23C2×D4×D4711yescharacteristic
1748C23C2×D4×D4711yescharacteristic
1749C23C2×D4×D4711yescharacteristic
1750Q8—472no—
1751Q8—941no—
1752Q8—941no—
1753Q8—941no—
1754Q8—941no—
1755Q8—941no—
1756Q8—3761no—
1757Q8—1881no—
1758Q8—1882no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—42no—
1768D4—42no—
1769D4—42no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—81no—
1776D4—81no—
1777D4—472no—
1778D4—944no—
1779D4—942no—
1780D4—942no—
1781D4—941no—
1782D4—941no—
1783D4—941no—
1784D4—941no—
1785D4—941no—
1786D4—3761no—
1787D4—3761no—
1788D4—3761no—
1789D4—3761no—
1790D4—3761no—
1791D4—3761no—
1792D4—3761no—
1793D4—3761no—
1794D4—3761no—
1795D4—3761no—
1796D4—3761no—
1797D4—3761no—
1798D4—3761no—
1799D4—3761no—
1800D4—3761no—
1801D4—1881no—
1802D4—1882no—
1803D4—1881no—
1804D4—1881no—
1805D4—1881no—
1806D4—1881no—
1807D4—1882no—
1808D4—1882no—
1809D4—1882no—
1810D4—1882no—
1811D4—1882no—
1812D4—1882no—
1813D4—1882no—
1814D4—1882no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—41no—
1826C2×C4—41no—
1827C2×C4—41no—
1828C2×C4—42no—
1829C2×C4—81no—
1830C2×C4—471no—
1831C2×C4—471no—
1832C2×C4—471no—
1833C2×C4—471no—
1834C2×C4—471no—
1835C2×C4—471no—
1836C2×C4—944no—
1837C2×C4—941no—
1838C2×C4—941no—
1839C2×C4—941no—
1840C2×C4—941no—
1841C2×C4—941no—
1842C2×C4—941no—
1843C2×C4—941no—
1844C2×C4—941no—
1845C2×C4—941no—
1846C2×C4—3761no—
1847C2×C4—3761no—
1848C2×C4—3761no—
1849C2×C4—3761no—
1850C2×C4—3761no—
1851C2×C4—3761no—
1852C2×C4—3761no—
1853C2×C4—3761no—
1854C2×C4—1882no—
1855C2×C4—1882no—
1856C2×C4—1882no—
1857C2×C4—1882no—
1858C2×C4—1882no—
1859C2×C4—1882no—
1860C2×C4C2×D4×D4711yescharacteristic
1861C2×C4C2×D4×D4711yescharacteristic
1862C2×C4C2×D4×D4711yescharacteristic
1863C2×C4C24×D4711yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—941no—
1869C8—941no—
1870C8—941no—
1871C8—941no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—82no—
1893C22—162no—
1894C22—162no—
1895C22—941no—
1896C22—941no—
1897C22—941no—
1898C22—941no—
1899C22—942no—
1900C22—941no—
1901C22—941no—
1902C22—3764no—
1903C22—1881no—
1904C22—1881no—
1905C22—1881no—
1906C22—1881no—
1907C22—1881no—
1908C22—1881no—
1909C22—1881no—
1910C22—1881no—
1911C22—7522no—
1912C22—7522no—
1913C22—7522no—
1914C22#1568992412yes—
1915C22C22×D4×D4711yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—941no—
1924C4—941no—
1925C4—941no—
1926C4—941no—
1927C4—941no—
1928C4—941no—
1929C4—942no—
1930C4—1881no—
1931C4—1881no—
1932C4—1881no—
1933C4—1881no—
1934C4H(5,𝔽2)×D4711yescharacteristic
1935C4H(5,𝔽2)×D4711yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—41no—
1939C2—81no—
1940C2—81no—
1941C2—81no—
1942C2—81no—
1943C2—3761no—
1944C2—3761no—
1945C2—1881no—
1946C2—1881no—
1947C2—1882no—
1948C2#2025702011yescharacteristic
1949C2C2×#1568992411yescharacteristic
1950C2#2025816111yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3186C2
socleC22×C47C23×D4
hypercenter#3186D47
hypocenterC47#61639
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3186

Complements

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

NH ≅ G/Ntype
1. #20257708C2semidirect
2. #20257053C2semidirect
3. #20255550C2semidirect
4. #20255407C2semidirect
5. #20255400C2semidirect
6. #20255377C2semidirect
7. #20255333C2semidirect
8. #20255273C2semidirect
9. #20255233C2semidirect
10. #20255199C2semidirect
11. #20255145C2semidirect
12. #20255099C2semidirect
13. #20255076C2semidirect
14. #20255058C2semidirect
15. #20254925C2semidirect
16. #20254925C2semidirect
17. #20254887C2semidirect
18. #20254861C2semidirect
19. #20254478C2semidirect
20. #20254434C2semidirect
21. #20254288C2semidirect
22. #20254247C2semidirect
23. #20254153C2semidirect
24. #20253645C2semidirect
25. #20253590C2semidirect
26. #20252687C2semidirect
27. #20252651C2semidirect
28. #20252610C2semidirect
29. C2×#15689266C2semidirect
30. #20252442C2semidirect
31. C47×#3186C2semidirect
32. C2×#13094069C22semidirect
33. C22×#10625350C22semidirect
34. C2×#13094048C22semidirect
35. C2×#13094048C22semidirect
36. C2×#13094046C22semidirect
37. C2×#13094046C22semidirect
38. C2×#13094043C22semidirect
39. C22×#10625335C22semidirect
40. C22×#10625334C22semidirect
41. C2×D8×D47C22semidirect
44. #15689837C22semidirect
45. #15689820C22semidirect
46. #15689808C22semidirect
48. #15689791C22semidirect
49. #15689791C22semidirect
50. #15689791C22semidirect
52. #15689779C22semidirect
53. #15689774C22semidirect
54. #15689770C22semidirect
55. #15689770C22semidirect
56. #15689770C22semidirect
57. #15689767C22semidirect
62. #15689757C22semidirect
65. D4×C22⋊D47C22semidirect
66. #15689740C22semidirect
67. #15689726C22semidirect
70. #15689704C22semidirect
72. #15689702C22semidirect
74. #15689690C22semidirect
76. #15689689C22semidirect
79. #15689634C22semidirect
82. #15689604C22semidirect
83. #15689511C22semidirect
84. #15689511C22semidirect
85. #15689506C22semidirect
86. #15689498C22semidirect
87. #15689486C22semidirect
88. #15689481C22semidirect
89. #15689476C22semidirect
90. #15689468C22semidirect
91. #15689466C22semidirect
92. #15689460C22semidirect
93. #15689458C22semidirect
94. #15689450C22semidirect
95. #15689444C22semidirect
96. #15689444C22semidirect
97. #15689441C22semidirect
98. #15689438C22semidirect
99. #15689429C22semidirect
100. #15689426C22semidirect
101. #15689417C22semidirect
102. #15689402C22semidirect
103. #15689375C22semidirect
104. #15689370C22semidirect
105. #15689370C22semidirect
106. #15689368C22semidirect
107. #15689365C22semidirect
108. #15689360C22semidirect
109. #15689358C22semidirect
110. #15689357C22semidirect
111. #15689357C22semidirect
112. #15689351C22semidirect
113. #15689350C22semidirect
114. #15689350C22semidirect
115. #15689344C22semidirect
116. #15689344C22semidirect
117. #15689337C22semidirect
118. #15689337C22semidirect
119. #15689336C22semidirect
120. #15689336C22semidirect
121. #15689322C22semidirect
122. #15689322C22semidirect
123. #15689317C22semidirect
124. #15689317C22semidirect
125. #15689316C22semidirect
126. #15689316C22semidirect
127. #15689287C22semidirect
128. #15689287C22semidirect
129. #15689286C22semidirect
130. #15689286C22semidirect
131. #15689281C22semidirect
132. #15689276C22semidirect
133. #15689275C22semidirect
134. #15689275C22semidirect
135. #15689274C22semidirect
136. #15689270C22semidirect
137. #15689270C22semidirect
138. #15689269C22semidirect
139. #15689269C22semidirect
141. #15689266C22semidirect
142. #15689266C22semidirect
143. #15689266C22semidirect
144. #15689266C22semidirect
145. #15689266C22semidirect
146. #15689266C22semidirect
147. #15689266C22semidirect
148. #15689266C22semidirect
149. #15689266C22semidirect
150. #15689265C22semidirect
151. #15689265C22semidirect
152. #15689264C22semidirect
153. #15689259C22semidirect
154. #15689258C22semidirect
155. #15689258C22semidirect
156. #15689257C22semidirect
157. #15689255C22semidirect
158. #15689255C22semidirect
159. #15689232C22semidirect
160. #15689222C22semidirect
161. #15689222C22semidirect
162. #15689220C22semidirect
163. #15689217C22semidirect
164. #15689214C22semidirect
165. #15689205C22semidirect
166. #15689203C22semidirect
167. #15689194C22semidirect
168. #15689194C22semidirect
169. #15689191C22semidirect
170. #15689191C22semidirect
171. C8×C22⋊D47C22semidirect
172. C8×C22⋊D47C22semidirect
173. (C22⋊D47)⋊C8C22semidirect
174. (C22⋊D47)⋊C8C22semidirect
175. #15689181C22semidirect
176. #15689181C22semidirect
177. #15689126C22semidirect
178. #15689121C22semidirect
179. #15689120C22semidirect
180. #15689120C22semidirect
181. #15689116C22semidirect
182. C2×#13093947C22semidirect
183. C2×#13093944C22semidirect
184. #102×D47C22semidirect
185. #15689088C22semidirect
186. #15689088C22semidirect
187. C2×C22⋊(C47⋊C8)C22semidirect
188. C2×#121×C47C22semidirect
189. C2×#121×C47C22semidirect
190. C47×#480C22semidirect
191. C47×#480C22semidirect
192. C47×#480C22semidirect
193. C47×#480C22semidirect
194. C47×#466C22semidirect
195. C47×#466C22semidirect
196. C47×#466C22semidirect
197. C47×#466C22semidirect
198. C47×#447C22semidirect
199. C47×#447C22semidirect
200. C47×#447C22semidirect
201. C47×#447C22semidirect
202. C2×C22⋊C8×C47C22semidirect
984. #3186D47semidirect
1057. C2×#121C2×D47semidirect
1058. C2×#121C2×D47semidirect
1076. #480C2×D47semidirect
1077. #480C2×D47semidirect
1078. #480C2×D47semidirect
1079. #480C2×D47semidirect
1093. #466C2×D47semidirect
1094. #466C2×D47semidirect
1095. #466C2×D47semidirect
1096. #466C2×D47semidirect
1144. #447C2×D47semidirect
1145. #447C2×D47semidirect
1146. #447C2×D47semidirect
1147. #447C2×D47semidirect
1177. C2×C22⋊C8C2×D47semidirect
1178. C47#61639semidirect

Maximal subgroups

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

subgroupindex
#202577082
#202570532
#202555502
#202554072
#202554002
#202553772
#202553332
#202552732
#202552332
#202551992
#202551452
#202550992
#202550762
#202550582
#202549252
#202548872
#202548612
#202544782
#202544342
#202542882
#202542472
#202541532
#202536452
#202535902
#202526872
#202526512
#202526102
C2×#156892662
#202524422
C47×#31862
#6163947