Finite Group Databasebeta

← #27102529

Subgroups — #27102529

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#20257696C211yesmaximal, characteristic, complemented
2#20257053C211yesmaximal, characteristic, complemented
3#20255542C211yesmaximal, characteristic, complemented
4#20255415C211yesmaximal, characteristic, complemented
5#20255392C211yesmaximal, characteristic, complemented
6#20255385C211yesmaximal, characteristic, complemented
7#20255336C211yesmaximal, characteristic, complemented
8#20255281C211yesmaximal, characteristic, complemented
9#20255241C211yesmaximal, characteristic, complemented
10#20255196C211yesmaximal, characteristic, complemented
11#20255141C211yesmaximal, characteristic, complemented
12#20255092C211yesmaximal, characteristic, complemented
13#20255071C211yesmaximal, characteristic, complemented
14#20255062C211yesmaximal, characteristic, complemented
15#20254932C211yesmaximal, characteristic, complemented
16#20254921C211yesmaximal, characteristic, complemented
17#20254880C211yesmaximal, characteristic, complemented
18#20254865C211yesmaximal, characteristic, complemented
19#20254486C211yesmaximal, characteristic, complemented
20#20254434C211yesmaximal, characteristic, complemented
21#20254292C211yesmaximal, characteristic, complemented
22#20254245C211yesmaximal, characteristic, complemented
23#20254136C211yesmaximal, characteristic, complemented
24#20253653C211yesmaximal, characteristic, complemented
25#20253582C211yesmaximal, characteristic, complemented
26#20252693C211yesmaximal, characteristic, complemented
27#20252651C211yesmaximal, characteristic, complemented
28#20252604C211yesmaximal, characteristic, complemented
29C2×#15689270C211yesmaximal, characteristic, complemented
30#20252442C211yesmaximal, characteristic, complemented
31C47×#3188C211yesmaximal, characteristic, complemented
32C2×#13094069C2211yescharacteristic, complemented
33C22×#10625350C2211yescharacteristic, complemented
34C2×#13094051C2211yescharacteristic, complemented
35C2×#13094048C2211yescharacteristic, complemented
36C2×#13094045C2211yescharacteristic, complemented
37C2×#13094044C2211yescharacteristic, complemented
38C2×#13094044C2211yescharacteristic, complemented
39C22×#10625325C2211yescharacteristic, complemented
40C22×D376C2211yescharacteristic, complemented
41C2×D8×D47C2211yescharacteristic, complemented
42#15689870—21no—
43#15689863—21no—
44#15689836C2211yescharacteristic, complemented
45#15689817C2211yescharacteristic, complemented
46#15689815C2211yescharacteristic, complemented
47#15689802—21no—
48#15689792C2211yescharacteristic, complemented
49#15689791C2211yescharacteristic, complemented
50#15689791C2211yescharacteristic, complemented
51#15689779C2211yescharacteristic
52#15689779C2211yescharacteristic, complemented
53#15689773C2211yescharacteristic, complemented
54#15689770C2211yescharacteristic, complemented
55#15689770C2211yescharacteristic, complemented
56#15689768—21no—
57#15689764C2211yescharacteristic, complemented
58#15689763—21no—
59#15689763—21no—
60#15689761C2211yescharacteristic, complemented
61#15689757C2211yescharacteristic
62#15689757C2211yescharacteristic, complemented
63#15689757C2211yescharacteristic, complemented
64D4×C22⋊D47—21no—
65D4×C22⋊D47—21no—
66#15689746C2211yescharacteristic, complemented
67#15689726C2211yescharacteristic, complemented
68#15689724—21no—
69#15689706—21no—
70#15689704C2211yescharacteristic, complemented
71#15689703C2211yescharacteristic, complemented
72#15689702—21no—
73#15689690C2211yescharacteristic, complemented
74#15689689—21no—
75#15689689C2211yescharacteristic, complemented
76#15689688—21no—
77#15689683—21no—
78#15689634C2211yescharacteristic
79#15689633—21no—
80C2×#13093998C2211yescharacteristic, complemented
81#121×D47—21no—
82#15689604C2211yescharacteristic, complemented
83#15689511C2211yescharacteristic, complemented
84#15689509C2211yescharacteristic, complemented
85#15689504C2211yescharacteristic, complemented
86#15689498C2211yescharacteristic, complemented
87#15689486C2211yescharacteristic, complemented
88#15689481C2211yescharacteristic, complemented
89#15689476C2211yescharacteristic, complemented
90#15689468C2211yescharacteristic, complemented
91#15689467C2211yescharacteristic, complemented
92#15689460C2211yescharacteristic, complemented
93#15689449C2211yescharacteristic, complemented
94#15689438C2211yescharacteristic, complemented
95#15689436C2211yescharacteristic, complemented
96#15689436C2211yescharacteristic, complemented
97#15689434C2211yescharacteristic, complemented
98#15689434C2211yescharacteristic, complemented
99#15689433C2211yescharacteristic, complemented
100#15689422C2211yescharacteristic, complemented
101#15689417C2211yescharacteristic, complemented
102#15689402C2211yescharacteristic, complemented
103#15689377C2211yescharacteristic, complemented
104#15689372C2211yescharacteristic, complemented
105#15689370C2211yescharacteristic, complemented
106#15689368C2211yescharacteristic, complemented
107#15689363C2211yescharacteristic, complemented
108#15689360C2211yescharacteristic, complemented
109#15689358C2211yescharacteristic, complemented
110#15689357C2211yescharacteristic, complemented
111#15689357C2211yescharacteristic, complemented
112#15689357C2211yescharacteristic, complemented
113#15689357C2211yescharacteristic, complemented
114#15689353C2211yescharacteristic, complemented
115#15689348C2211yescharacteristic, complemented
116#15689343C2211yescharacteristic, complemented
117#15689341C2211yescharacteristic, complemented
118#15689337C2211yescharacteristic, complemented
119#15689337C2211yescharacteristic, complemented
120#15689336C2211yescharacteristic, complemented
121#15689322C2211yescharacteristic, complemented
122#15689321C2211yescharacteristic, complemented
123#15689317C2211yescharacteristic, complemented
124#15689317C2211yescharacteristic, complemented
125#15689317C2211yescharacteristic, complemented
126#15689316C2211yescharacteristic, complemented
127#15689288C2211yescharacteristic, complemented
128#15689283C2211yescharacteristic, complemented
129#15689283C2211yescharacteristic, complemented
130#15689282C2211yescharacteristic, complemented
131#15689278C2211yescharacteristic, complemented
132#15689275C2211yescharacteristic, complemented
133#15689273C2211yescharacteristic, complemented
134#15689272C2211yescharacteristic, complemented
135#15689271C2211yescharacteristic, complemented
136#15689270C2211yescharacteristic
137#15689270C2211yescharacteristic, complemented
138#15689270C2211yescharacteristic, complemented
139#15689270C2211yescharacteristic, complemented
140#15689270C2211yescharacteristic, complemented
141#15689270C2211yescharacteristic, complemented
142#15689270C2211yescharacteristic, complemented
143#15689270C2211yescharacteristic, complemented
144#15689269C2211yescharacteristic, complemented
145#15689269C2211yescharacteristic, complemented
146#15689266C2211yescharacteristic, complemented
147#15689266C2211yescharacteristic, complemented
148#15689265C2211yescharacteristic, complemented
149#15689261C2211yescharacteristic, complemented
150#15689258C2211yescharacteristic, complemented
151#15689258C2211yescharacteristic, complemented
152#15689258C2211yescharacteristic, complemented
153#15689257C2211yescharacteristic, complemented
154#15689257C2211yescharacteristic, complemented
155#15689256C2211yescharacteristic, complemented
156#15689256C2211yescharacteristic, complemented
157#15689256C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689234C2211yescharacteristic, complemented
160#15689226C2211yescharacteristic, complemented
161#15689222C2211yescharacteristic, complemented
162#15689220C2211yescharacteristic, complemented
163#15689215C2211yescharacteristic, complemented
164#15689210C2211yescharacteristic, 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#15689117C2211yescharacteristic, complemented
180#15689117C2211yescharacteristic, complemented
181#15689116C2211yescharacteristic, complemented
182C2×#13093949C2211yescharacteristic, complemented
183C2×#13093946C2211yescharacteristic, complemented
184#102×D47C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186#15689088C2211yescharacteristic, complemented
187C2×C22⋊(C47⋊C8)C2211yescharacteristic, complemented
188C47×#525C2211yescharacteristic, complemented
189C2×#121×C47C2211yescharacteristic, complemented
190C47×#484C2211yescharacteristic, complemented
191C47×#482C2211yescharacteristic, complemented
192C47×#482C2211yescharacteristic, complemented
193C47×#481C2211yescharacteristic, complemented
194C47×#466C2211yescharacteristic, complemented
195C47×#466C2211yescharacteristic, complemented
196C47×#465C2211yescharacteristic, complemented
197C47×#465C2211yescharacteristic, complemented
198C47×#450C2211yescharacteristic, complemented
199C47×#449C2211yescharacteristic, complemented
200C47×#449C2211yescharacteristic, complemented
201C47×#447C2211yescharacteristic, complemented
202C2×C22⋊C8×C47C2211yescharacteristic, complemented
203#13094069—42no—
204#13094069—42no—
205C2×#10625354C2311yescharacteristic
206C2×#10625350—21no—
207C2×#10625350—21no—
208C2×#10625350—42no—
209C2×#10625350—42no—
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×#10625350C2311yescharacteristic
214C2×#10625350C2311yescharacteristic
215C2×#10625352—21no—
216C2×#10625352—21no—
217C2×#10625352C2311yescharacteristic
218C2×#10625352C2311yescharacteristic
219C22×Dic94C2311yescharacteristic
220C22×D188C2311yescharacteristic
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×D47—21no—
230C2×D4×D47C2311yescharacteristic
231C2×D4×D47C2311yescharacteristic
232C2×D4×D47C2311yescharacteristic
233C22×C4×D47—21no—
234#13094051—42no—
235#13094048—42no—
236#13094045—42no—
237#13094044—42no—
238#13094044—42no—
239C2×#10625337C2311yescharacteristic
240C2×#10625337C2311yescharacteristic
241C2×#10625325—42no—
242C2×#10625325C2311yescharacteristic
243C2×#10625325C2311yescharacteristic
244C2×#10625325C2311yescharacteristic
245C2×#10625325C2311yescharacteristic
246C2×#10625335C2311yescharacteristic
247C2×#10625335C2311yescharacteristic
248C2×#10625336C2311yescharacteristic
249C2×#10625336C2311yescharacteristic
250C2×D376—42no—
251C2×D376C2311yescharacteristic
252C2×D376C2311yescharacteristic
253C2×D376C2311yescharacteristic
254C2×D376C2311yescharacteristic
255C2×#10625334C2311yescharacteristic
256C2×#10625334C2311yescharacteristic
257C2×#10625334C2311yescharacteristic
258C2×#10625334C2311yescharacteristic
259C2×#10625334C2311yescharacteristic
260C2×#10625334C2311yescharacteristic
261D8×D47—42no—
262C2×#10625324C2311yescharacteristic
263C2×#10625324C2311yescharacteristic
264C22×C47⋊C8C2311yescharacteristic
265C22×C47⋊C8C2311yescharacteristic
266C2×C8×D47C2311yescharacteristic
267C2×C8×D47C2311yescharacteristic
268#13094023C2311yescharacteristic
269#13094020—21no—
270#13094020—21no—
271#13094020—21no—
272#13094020—21no—
273#13094020C2311yescharacteristic
274#13094020C2311yescharacteristic
275#13094020C2311yescharacteristic
276#13094019—21no—
277#13094019—21no—
278#13094018—21no—
279#13094015—21no—
280#13094015C2311yescharacteristic
281#13094013C2311yescharacteristic
282#13094012—21no—
283#13094011C2311yescharacteristic
284#13094011C2311yescharacteristic
285#13094010—21no—
286#13094010—21no—
287#13094010—21no—
288#13094010—21no—
289#13094010—21no—
290#13094009—21no—
291#13094008—21no—
292#13094008—21no—
293#13094007—21no—
294#13094007D411yescharacteristic
295#13094007D411yescharacteristic
296#13094006—21no—
297#13094006—21no—
298#13094006—21no—
299#13094006—21no—
300#13094006—21no—
301#13094006—21no—
302#13094005—21no—
303#13094004—21no—
304#13094004—21no—
305#13094004C2311yescharacteristic
306#13094004C2311yescharacteristic
307#13094003D411yescharacteristic
308#13094003D411yescharacteristic
309#13094002—21no—
310#13094001—21no—
311#13094001—21no—
312#13094001—21no—
313#13094000C2311yescharacteristic
314#13093999—21no—
315#13093999—21no—
316#13093999—21no—
317#13093999C2311yescharacteristic
318#13093999C2311yescharacteristic
319#13093999C2311yescharacteristic
320#13093999C2311yescharacteristic
321#13093998—21no—
322#13093998—21no—
323#13093998—21no—
324#13093998—21no—
325#13093998—21no—
326#13093998D411yescharacteristic
327#13093998D411yescharacteristic
328#13093998C2311yescharacteristic
329#13093998C2311yescharacteristic
330#13093998C2311yescharacteristic
331#13093998C2311yescharacteristic
332#13093997—21no—
333#13093997—21no—
334#13093997—21no—
335#13093997—21no—
336#13093997—21no—
337#13093997—21no—
338#13093997—21no—
339#13093997—21no—
340#13093997—21no—
341#13093996—21no—
342#13093996—21no—
343#13093996—21no—
344#13093996—21no—
345#13093996—21no—
346#13093996—21no—
347#13093995—21no—
348#13093995—21no—
349#13093995—21no—
350#13093995—21no—
351#13093995—21no—
352#13093995—21no—
353#13093995C2311yescharacteristic
354#13093994—21no—
355#13093994—21no—
356#13093994—21no—
357#13093994—21no—
358#13093994—21no—
359#13093993—21no—
360#13093993—21no—
361#13093993D411yescharacteristic
362#13093993D411yescharacteristic
363#13093992—21no—
364#13093992—21no—
365#13093992—21no—
366#13093992—21no—
367#13093992—21no—
368#13093992—21no—
369#13093992—21no—
370Q8×Dic47C2311yescharacteristic
371#13093989C2311yescharacteristic
372#13093989C2311yescharacteristic
373C4×D188—21no—
374D4×Dic47—21no—
375D4×Dic47—21no—
376D4×Dic47C2311yescharacteristic
377#13093986C2311yescharacteristic
378#13093986C2311yescharacteristic
379#13093986C2311yescharacteristic
380#13093986C2311yescharacteristic
381C4×C22⋊D47—21no—
382C4×C22⋊D47—21no—
383C4×C22⋊D47—21no—
384C4×C22⋊D47C2311yescharacteristic
385C4×C22⋊D47C2311yescharacteristic
386C4×C22⋊D47C2311yescharacteristic
387C4×C22⋊D47C2311yescharacteristic
388(C22⋊D47)⋊C4—21no—
389(C22⋊D47)⋊C4—21no—
390#13093983C2311yescharacteristic
391#13093982—21no—
392#13093982C2311yescharacteristic
393#13093981—21no—
394#13093980—21no—
395C2×C4⋊Dic47C2311yescharacteristic
396C4⋊C4×D47—21no—
397C4⋊C4×D47C2311yescharacteristic
398C2×(C2×D47)⋊C4—21no—
399C2×(C2×D47)⋊C4—21no—
400C22⋊C4×D47—21no—
401C22⋊C4×D47—21no—
402C22⋊C4×D47—21no—
403#13093957C2311yescharacteristic
404#13093957C2311yescharacteristic
405#13093957C2311yescharacteristic
406#13093957C2311yescharacteristic
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#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
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
448C22×D4×C47—21no—
449C22×D4×C47C2311yescharacteristic
450C23×C4×C47C2311yescharacteristic
451C2×SD16×C47C2311yescharacteristic
452C2×SD16×C47C2311yescharacteristic
453C2×D8×C47C2311yescharacteristic
454C2×D8×C47C2311yescharacteristic
455C22×C8×C47C2311yescharacteristic
456C22×C8×C47C2311yescharacteristic
457#123×C47—21no—
458C22⋊Q8×C47C2311yescharacteristic
459C22⋊Q8×C47C2311yescharacteristic
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#120×C47—21no—
469C4×D4×C47—21no—
470C4×D4×C47—21no—
471#117×C47C2311yescharacteristic
472C2×C4⋊C4×C47C2311yescharacteristic
473C2×C22⋊C4×C47—21no—
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—
491C24×C47C2×D411yescharacteristic
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C23×D47—21no—
497#41×C47—41no—
498#41×C47—41no—
499C2×Q8×C47C2411yescharacteristic
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—21no—
508C2×D4×C47—41no—
509C2×D4×C47—41no—
510C2×D4×C47—82no—
511C2×D4×C47C2411yescharacteristic
512C2×D4×C47C2411yescharacteristic
513C2×D4×C47C2411yescharacteristic
514C22×C4×C47—21no—
515C22×C4×C47—21no—
516C22×C4×C47—41no—
517C22×C4×C47—41no—
518C22×C4×C47C2×D411yescharacteristic
519C22×C4×C47C2×D411yescharacteristic
520C22×C4×C47C2×D411yescharacteristic
521C22×C4×C47C2411yescharacteristic
522C22×C4×C47C2411yescharacteristic
523C22×C4×C47C2411yescharacteristic
524C2×C22⋊D47—21no—
525C2×C22⋊D47—21no—
526C2×C22⋊D47—21no—
527C2×C22⋊D47—21no—
528C2×C22⋊D47—21no—
529C2×C22⋊D47—21no—
530C2×C22⋊D47—21no—
531C2×C22⋊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—44no—
545C2×C22⋊D47—44no—
546C2×C22⋊D47—44no—
547C2×C22⋊D47—82no—
548C2×C22⋊D47C2×D411yescharacteristic
549C2×C22⋊D47C2×D411yescharacteristic
550C2×C22⋊D47C2×D411yescharacteristic
551C2×C22⋊D47C2×D411yescharacteristic
552C2×C22⋊D47C2×D411yescharacteristic
553C2×C22⋊D47C2×D411yescharacteristic
554C22×Dic47—21no—
555C22×Dic47—21no—
556C22×Dic47—21no—
557C22×Dic47—21no—
558C22×Dic47—21no—
559#10625354—41no—
560#10625354—41no—
561#10625352—22no—
562#10625352—22no—
563#10625352—41no—
564#10625352—41no—
565#10625352—44no—
566#10625352—82no—
567D4×D47—22no—
568D4×D47—22no—
569D4×D47—41no—
570D4×D47—41no—
571D4×D47—41no—
572D4×D47—41no—
573D4×D47—44no—
574D4×D47—82no—
575D4×D47—82no—
576D4×D47—82no—
577#10625350—22no—
578#10625350—22no—
579#10625350—22no—
580#10625350—22no—
581#10625350—41no—
582#10625350—41no—
583#10625350—41no—
584#10625350—41no—
585#10625350—41no—
586#10625350—41no—
587#10625350—44no—
588#10625350—44no—
589C2×D188—22no—
590C2×D188—21no—
591C2×D188—21no—
592C2×D188—21no—
593C2×D188—21no—
594C2×D188—21no—
595C2×D188—21no—
596C2×D188—21no—
597C2×D188—41no—
598C2×D188—41no—
599C2×D188—41no—
600C2×D188C2×D411yescharacteristic
601C2×D188C2411yescharacteristic
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—21no—
615C2×C4×D47—44no—
616C2×C4×D47C2411yescharacteristic
617C2×C4×D47C2411yescharacteristic
618C2×Dic94—22no—
619C2×Dic94—21no—
620C2×Dic94—21no—
621C2×Dic94—41no—
622C2×Dic94C2×D411yescharacteristic
623C2×Dic94C2411yescharacteristic
624C2×Dic94C2411yescharacteristic
625SD16×C47—41no—
626SD16×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×C47—21no—
638C4⋊C4×C47C2411yescharacteristic
639C4⋊C4×C47C2411yescharacteristic
640C4⋊C4×C47C2411yescharacteristic
641C4⋊C4×C47C2411yescharacteristic
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⋊C4×C47—21no—
650C22⋊C4×C47—21no—
651C42×C47—21no—
652C22⋊Dic47—21no—
653C22⋊Dic47—21no—
654C22⋊Dic47—21no—
655C22⋊Dic47—21no—
656C22⋊Dic47—21no—
657C22⋊Dic47—21no—
658C22⋊Dic47C2×D411yescharacteristic
659C22⋊Dic47C2×D411yescharacteristic
660C22⋊Dic47C2×D411yescharacteristic
661C22⋊Dic47C2×D411yescharacteristic
662C22⋊Dic47C2×D411yescharacteristic
663C22⋊Dic47C2×D411yescharacteristic
664#10625337—22no—
665#10625337—41no—
666#10625336—22no—
667#10625336—41no—
668#10625335—22no—
669#10625335—41no—
670#10625334—22no—
671#10625334—41no—
672#10625334—41no—
673#10625334—41no—
674#10625334—41no—
675#10625334—41no—
676(C2×D47)⋊C4—21no—
677(C2×D47)⋊C4—21no—
678(C2×D47)⋊C4—21no—
679(C2×D47)⋊C4—21no—
680(C2×D47)⋊C4—21no—
681(C2×D47)⋊C4—21no—
682(C2×D47)⋊C4—21no—
683(C2×D47)⋊C4—21no—
684(C2×D47)⋊C4—21no—
685(C2×D47)⋊C4—21no—
686(C2×D47)⋊C4—21no—
687(C2×D47)⋊C4—21no—
688(C2×D47)⋊C4—21no—
689(C2×D47)⋊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)⋊C4C2×D411yescharacteristic
695(C2×D47)⋊C4C2×D411yescharacteristic
696(C2×D47)⋊C4C2×D411yescharacteristic
697(C2×D47)⋊C4C2×D411yescharacteristic
698C4⋊Dic47—21no—
699C4⋊Dic47—21no—
700C4⋊Dic47—21no—
701C4⋊Dic47—21no—
702C4⋊Dic47—21no—
703C4⋊Dic47C2×D411yescharacteristic
704C4⋊Dic47C2×D411yescharacteristic
705C4⋊Dic47C2411yescharacteristic
706C4⋊Dic47C2411yescharacteristic
707Dic47⋊C4—21no—
708Dic47⋊C4—21no—
709Dic47⋊C4—21no—
710Dic47⋊C4—21no—
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4C2×D411yescharacteristic
714Dic47⋊C4C2×D411yescharacteristic
715Dic47⋊C4C2×D411yescharacteristic
716Dic47⋊C4C2×D411yescharacteristic
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
729D376—22no—
730D376—22no—
731D376—41no—
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—41no—
746C23×C47—41no—
747C23×C47—42no—
748C23×C47—81no—
749C23×C47—81no—
750C23×C47C22×D411yescharacteristic
751C23×C47C22×D411yescharacteristic
752C23×C47C22×D411yescharacteristic
753C22×D47—21no—
754C22×D47—21no—
755C22×D47—21no—
756C22×D47—21no—
757C22×D47—42no—
758C22×D47—42no—
759C22×D47—42no—
760C22×D47—42no—
761C22×D47—42no—
762C22×D47—81no—
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×D47C22×D411yescharacteristic
773C22×D47C22×D411yescharacteristic
774Q8×C47—21no—
775Q8×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—42no—
786D4×C47—81no—
787D4×C47—81no—
788D4×C47—81no—
789D4×C47—81no—
790C2×C4×C47—21no—
791C2×C4×C47—21no—
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—41no—
802C2×C4×C47—41no—
803C2×C4×C47—41no—
804C2×C4×C47—81no—
805C2×C4×C47—81no—
806C2×C4×C47C22×D411yescharacteristic
807C2×C4×C47C22×D411yescharacteristic
808C2×C4×C47C22×D411yescharacteristic
809C2×C4×C47C2511yescharacteristic
810C22⋊D47—24no—
811C22⋊D47—22no—
812C22⋊D47—22no—
813C22⋊D47—41no—
814C22⋊D47—41no—
815C22⋊D47—41no—
816C22⋊D47—41no—
817C22⋊D47—42no—
818C22⋊D47—42no—
819C22⋊D47—42no—
820C22⋊D47—42no—
821C22⋊D47—42no—
822C22⋊D47—42no—
823C22⋊D47—42no—
824C22⋊D47—81no—
825C22⋊D47—81no—
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—
836C2×Dic47—21no—
837C2×Dic47—21no—
838C2×Dic47—21no—
839C2×Dic47—21no—
840C2×Dic47—42no—
841C2×Dic47—42no—
842C2×Dic47—42no—
843C2×Dic47—42no—
844C2×Dic47—81no—
845C2×Dic47C22×D411yescharacteristic
846C2×Dic47C22×D411yescharacteristic
847C2×Dic47C22×D411yescharacteristic
848C2×Dic47C22×D411yescharacteristic
849C2×Dic47C22×D411yescharacteristic
850C2×Dic47C22×D411yescharacteristic
851D188—21no—
852D188—21no—
853D188—21no—
854D188—21no—
855D188—21no—
856D188—21no—
857D188—21no—
858D188—41no—
859D188—42no—
860D188—81no—
861D188—81no—
862D188—81no—
863D188—81no—
864D188—81no—
865D188—81no—
866D188H(5,𝔽2)12yes—
867C4×D47—24no—
868C4×D47—21no—
869C4×D47—21no—
870C4×D47—21no—
871C4×D47—21no—
872C4×D47—42no—
873C4×D47—42no—
874C4×D47—42no—
875C4×D47—81no—
876C4×D47—81no—
877C4×D47—81no—
878C4×D47—81no—
879C4×D47—81no—
880C4×D47—81no—
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—82no—
915C22×C47—162no—
916C22×C47#57612yes—
917C22×C47C23×D411yescharacteristic
918C2×D47—21no—
919C2×D47—21no—
920C2×D47—22no—
921C2×D47—21no—
922C2×D47—21no—
923C2×D47—21no—
924C2×D47—21no—
925C2×D47—41no—
926C2×D47—41no—
927C2×D47—41no—
928C2×D47—41no—
929C2×D47—41no—
930C2×D47—41no—
931C2×D47—41no—
932C2×D47—41no—
933C2×D47—41no—
934C2×D47—41no—
935C2×D47—41no—
936C2×D47—84no—
937C2×D47—162no—
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×C47—41no—
949C4×C47C2×H(5,𝔽2)11yescharacteristic
950C4×C47C2×H(5,𝔽2)11yescharacteristic
951Dic47—21no—
952Dic47—21no—
953Dic47—22no—
954Dic47—21no—
955Dic47—21no—
956Dic47—21no—
957Dic47—21no—
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#3188D4711yescharacteristic, complemented
984#3186—471no—
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#348411yescharacteristic
999C2×C47C2×#57611yescharacteristic
1000C2×C47#358411yescharacteristic
1001D47—41no—
1002D47—41no—
1003D47—42no—
1004D47—81no—
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—941no—
1055#525C2×D4711yescharacteristic, complemented
1056C2×#121—471no—
1057C2×#121—941no—
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#484C2×D4711yescharacteristic, complemented
1071#482—471no—
1072#482C2×D4711yescharacteristic, complemented
1073#482C2×D4711yescharacteristic, complemented
1074#481C2×D4711yescharacteristic, complemented
1075#480—471no—
1076#480—471no—
1077#480—471no—
1078#480—471no—
1079#480—471no—
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#466—471no—
1094#466—471no—
1095#466C2×D4711yescharacteristic, complemented
1096#466C2×D4711yescharacteristic, complemented
1097#465—471no—
1098#465C2×D4711yescharacteristic, complemented
1099#465C2×D4711yescharacteristic, complemented
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#450C2×D4711yescharacteristic, complemented
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#449C2×D4711yescharacteristic, complemented
1136#449C2×D4711yescharacteristic, complemented
1137#448—471no—
1138#447—471no—
1139#447—471no—
1140#447—471no—
1141#447—471no—
1142#447—471no—
1143#447—471no—
1144#447—471no—
1145#447—471no—
1146#447—471no—
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—941no—
1190C2×#41—941no—
1191C2×#41—941no—
1192C2×#41—941no—
1193C2×#41—1882no—
1194C2×#41—1882no—
1195C2×#41C22×D4711yescharacteristic
1196C22×Q8—471no—
1197C22×D4—21no—
1198C22×D4—471no—
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×D4—941no—
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—1882no—
1230C2×SD16C22×D4711yescharacteristic
1231C2×SD16C22×D4711yescharacteristic
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—471no—
1241C2×D8—471no—
1242C2×D8—1882no—
1243C2×D8—1882no—
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—21no—
1277#123—471no—
1278#123—471no—
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—941no—
1296C22⋊Q8—941no—
1297C22⋊Q8—941no—
1298C22⋊Q8—941no—
1299C22⋊Q8—941no—
1300C22⋊Q8—941no—
1301C22⋊Q8C22×D4711yescharacteristic
1302C22⋊Q8C22×D4711yescharacteristic
1303#121—21no—
1304#121—21no—
1305#121—471no—
1306#121—471no—
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#121—941no—
1344#121—941no—
1345#121C22×D4711yescharacteristic
1346#121C22×D4711yescharacteristic
1347#121C22×D4711yescharacteristic
1348#121C22×D4711yescharacteristic
1349#121C22×D4711yescharacteristic
1350#121C22×D4711yescharacteristic
1351#120—21no—
1352#120—471no—
1353#120—471no—
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—21no—
1372C4×D4—21no—
1373C4×D4—471no—
1374C4×D4—471no—
1375C4×D4—471no—
1376C4×D4—471no—
1377C4×D4—471no—
1378C4×D4—471no—
1379C4×D4—471no—
1380C4×D4—471no—
1381C4×D4—471no—
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—941no—
1393#117—941no—
1394#117—941no—
1395#117C22×D4711yescharacteristic
1396C2×C4⋊C4—471no—
1397C2×C4⋊C4—471no—
1398C2×C4⋊C4—941no—
1399C2×C4⋊C4C22×D4711yescharacteristic
1400C2×C22⋊C4—21no—
1401C2×C22⋊C4—941no—
1402C2×C22⋊C4—941no—
1403C2×C22⋊C4—941no—
1404C2×C22⋊C4—941no—
1405C2×C22⋊C4—941no—
1406#107—471no—
1407#107—471no—
1408#107—471no—
1409#107—471no—
1410#107C22×D4711yescharacteristic
1411#107C22×D4711yescharacteristic
1412#106C22×D4711yescharacteristic
1413#106C22×D4711yescharacteristic
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#103C22×D4711yescharacteristic
1427#103C22×D4711yescharacteristic
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#102—471no—
1443#102—471no—
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—941no—
1468C24—941no—
1469C24—941no—
1470C24—941no—
1471C24—941no—
1472C24D4×D4711yescharacteristic
1473#41—41no—
1474#41—41no—
1475#41—942no—
1476#41—942no—
1477#41—942no—
1478#41—942no—
1479#41—942no—
1480#41—942no—
1481#41—3762no—
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—941no—
1499C2×Q8—942no—
1500C2×Q8—941no—
1501C2×Q8—1881no—
1502C2×Q8C23×D4711yescharacteristic
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—41no—
1512C2×D4—41no—
1513C2×D4—82no—
1514C2×D4—471no—
1515C2×D4—471no—
1516C2×D4—471no—
1517C2×D4—471no—
1518C2×D4—471no—
1519C2×D4—471no—
1520C2×D4—471no—
1521C2×D4—471no—
1522C2×D4—471no—
1523C2×D4—471no—
1524C2×D4—471no—
1525C2×D4—942no—
1526C2×D4—941no—
1527C2×D4—941no—
1528C2×D4—941no—
1529C2×D4—941no—
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—942no—
1541C2×D4—942no—
1542C2×D4—941no—
1543C2×D4—941no—
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—3762no—
1556C2×D4—3762no—
1557C2×D4—3762no—
1558C2×D4—3762no—
1559C2×D4—1881no—
1560C2×D4—1881no—
1561C2×D4—1881no—
1562C2×D4—1881no—
1563C2×D4—1881no—
1564C2×D4—1881no—
1565C2×D4—1881no—
1566C2×D4—1884no—
1567C2×D4—1884no—
1568C2×D4—1884no—
1569C2×D4—1884no—
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—41no—
1604SD16—41no—
1605SD16—942no—
1606SD16—942no—
1607SD16—942no—
1608SD16—942no—
1609SD16—1881no—
1610SD16—1881no—
1611SD16—1881no—
1612SD16—1881no—
1613D8—41no—
1614D8—41no—
1615D8—942no—
1616D8—942no—
1617D8—942no—
1618D8—1881no—
1619D8—1881no—
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—21no—
1644C4⋊C4—471no—
1645C4⋊C4—471no—
1646C4⋊C4—471no—
1647C4⋊C4—471no—
1648C4⋊C4—471no—
1649C4⋊C4—471no—
1650C4⋊C4—471no—
1651C4⋊C4—471no—
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—21no—
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—471no—
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—21no—
1711C42—471no—
1712C42—471no—
1713C42—941no—
1714C42—941no—
1715C42—941no—
1716C42—941no—
1717C23—22no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—41no—
1722C23—41no—
1723C23—42no—
1724C23—81no—
1725C23—81no—
1726C23—471no—
1727C23—471no—
1728C23—941no—
1729C23—941no—
1730C23—941no—
1731C23—941no—
1732C23—3761no—
1733C23—3761no—
1734C23—3761no—
1735C23—3761no—
1736C23—3761no—
1737C23—3761no—
1738C23—3761no—
1739C23—3761no—
1740C23—3761no—
1741C23—3761no—
1742C23—1882no—
1743C23—1882no—
1744C23—1882no—
1745C23—1882no—
1746C23—1882no—
1747C23C2×D4×D4711yescharacteristic
1748C23C2×D4×D4711yescharacteristic
1749C23C2×D4×D4711yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—472no—
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—42no—
1766D4—42no—
1767D4—42no—
1768D4—42no—
1769D4—81no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—472no—
1774D4—944no—
1775D4—942no—
1776D4—942no—
1777D4—941no—
1778D4—941no—
1779D4—941no—
1780D4—941no—
1781D4—941no—
1782D4—941no—
1783D4—941no—
1784D4—3761no—
1785D4—3761no—
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—3761no—
1802D4—1881no—
1803D4—1882no—
1804D4—1881no—
1805D4—1881no—
1806D4—1881no—
1807D4—1881no—
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—21no—
1826C2×C4—41no—
1827C2×C4—41no—
1828C2×C4—41no—
1829C2×C4—81no—
1830C2×C4—81no—
1831C2×C4—471no—
1832C2×C4—471no—
1833C2×C4—471no—
1834C2×C4—471no—
1835C2×C4—471no—
1836C2×C4—471no—
1837C2×C4—944no—
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—1882no—
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—82no—
1890C22—162no—
1891C22—941no—
1892C22—941no—
1893C22—941no—
1894C22—941no—
1895C22—942no—
1896C22—941no—
1897C22—941no—
1898C22—3764no—
1899C22—1881no—
1900C22—1881no—
1901C22—1881no—
1902C22—1881no—
1903C22—1881no—
1904C22—1881no—
1905C22—1881no—
1906C22—1881no—
1907C22—1881no—
1908C22—1881no—
1909C22—1881no—
1910C22—7522no—
1911C22—7522no—
1912C22—7522no—
1913C22—7522no—
1914C22#1568992712yes—
1915C22C22×D4×D4711yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—941no—
1925C4—941no—
1926C4—941no—
1927C4—941no—
1928C4—941no—
1929C4—941no—
1930C4—942no—
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—3761no—
1943C2—3761no—
1944C2—3761no—
1945C2—1881no—
1946C2—1881no—
1947C2—1882no—
1948C2#2025702011yescharacteristic
1949C2C2×#1568992711yescharacteristic
1950C2#2025815711yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3188C2
socleC22×C47C23×D4
hypercenter#3188D47
hypocenterC47#61639
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3188

Complements

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

NH ≅ G/Ntype
1. #20257696C2semidirect
2. #20257053C2semidirect
3. #20255542C2semidirect
4. #20255415C2semidirect
5. #20255392C2semidirect
6. #20255385C2semidirect
7. #20255336C2semidirect
8. #20255281C2semidirect
9. #20255241C2semidirect
10. #20255196C2semidirect
11. #20255141C2semidirect
12. #20255092C2semidirect
13. #20255071C2semidirect
14. #20255062C2semidirect
15. #20254932C2semidirect
16. #20254921C2semidirect
17. #20254880C2semidirect
18. #20254865C2semidirect
19. #20254486C2semidirect
20. #20254434C2semidirect
21. #20254292C2semidirect
22. #20254245C2semidirect
23. #20254136C2semidirect
24. #20253653C2semidirect
25. #20253582C2semidirect
26. #20252693C2semidirect
27. #20252651C2semidirect
28. #20252604C2semidirect
29. C2×#15689270C2semidirect
30. #20252442C2semidirect
31. C47×#3188C2semidirect
32. C2×#13094069C22semidirect
33. C22×#10625350C22semidirect
34. C2×#13094051C22semidirect
35. C2×#13094048C22semidirect
36. C2×#13094045C22semidirect
37. C2×#13094044C22semidirect
38. C2×#13094044C22semidirect
39. C22×#10625325C22semidirect
40. C22×D376C22semidirect
41. C2×D8×D47C22semidirect
44. #15689836C22semidirect
45. #15689817C22semidirect
46. #15689815C22semidirect
48. #15689792C22semidirect
49. #15689791C22semidirect
50. #15689791C22semidirect
52. #15689779C22semidirect
53. #15689773C22semidirect
54. #15689770C22semidirect
55. #15689770C22semidirect
57. #15689764C22semidirect
60. #15689761C22semidirect
62. #15689757C22semidirect
63. #15689757C22semidirect
66. #15689746C22semidirect
67. #15689726C22semidirect
70. #15689704C22semidirect
71. #15689703C22semidirect
73. #15689690C22semidirect
75. #15689689C22semidirect
80. C2×#13093998C22semidirect
82. #15689604C22semidirect
83. #15689511C22semidirect
84. #15689509C22semidirect
85. #15689504C22semidirect
86. #15689498C22semidirect
87. #15689486C22semidirect
88. #15689481C22semidirect
89. #15689476C22semidirect
90. #15689468C22semidirect
91. #15689467C22semidirect
92. #15689460C22semidirect
93. #15689449C22semidirect
94. #15689438C22semidirect
95. #15689436C22semidirect
96. #15689436C22semidirect
97. #15689434C22semidirect
98. #15689434C22semidirect
99. #15689433C22semidirect
100. #15689422C22semidirect
101. #15689417C22semidirect
102. #15689402C22semidirect
103. #15689377C22semidirect
104. #15689372C22semidirect
105. #15689370C22semidirect
106. #15689368C22semidirect
107. #15689363C22semidirect
108. #15689360C22semidirect
109. #15689358C22semidirect
110. #15689357C22semidirect
111. #15689357C22semidirect
112. #15689357C22semidirect
113. #15689357C22semidirect
114. #15689353C22semidirect
115. #15689348C22semidirect
116. #15689343C22semidirect
117. #15689341C22semidirect
118. #15689337C22semidirect
119. #15689337C22semidirect
120. #15689336C22semidirect
121. #15689322C22semidirect
122. #15689321C22semidirect
123. #15689317C22semidirect
124. #15689317C22semidirect
125. #15689317C22semidirect
126. #15689316C22semidirect
127. #15689288C22semidirect
128. #15689283C22semidirect
129. #15689283C22semidirect
130. #15689282C22semidirect
131. #15689278C22semidirect
132. #15689275C22semidirect
133. #15689273C22semidirect
134. #15689272C22semidirect
135. #15689271C22semidirect
137. #15689270C22semidirect
138. #15689270C22semidirect
139. #15689270C22semidirect
140. #15689270C22semidirect
141. #15689270C22semidirect
142. #15689270C22semidirect
143. #15689270C22semidirect
144. #15689269C22semidirect
145. #15689269C22semidirect
146. #15689266C22semidirect
147. #15689266C22semidirect
148. #15689265C22semidirect
149. #15689261C22semidirect
150. #15689258C22semidirect
151. #15689258C22semidirect
152. #15689258C22semidirect
153. #15689257C22semidirect
154. #15689257C22semidirect
155. #15689256C22semidirect
156. #15689256C22semidirect
157. #15689256C22semidirect
158. #15689255C22semidirect
159. #15689234C22semidirect
160. #15689226C22semidirect
161. #15689222C22semidirect
162. #15689220C22semidirect
163. #15689215C22semidirect
164. #15689210C22semidirect
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. #15689117C22semidirect
180. #15689117C22semidirect
181. #15689116C22semidirect
182. C2×#13093949C22semidirect
183. C2×#13093946C22semidirect
184. #102×D47C22semidirect
185. #15689088C22semidirect
186. #15689088C22semidirect
187. C2×C22⋊(C47⋊C8)C22semidirect
188. C47×#525C22semidirect
189. C2×#121×C47C22semidirect
190. C47×#484C22semidirect
191. C47×#482C22semidirect
192. C47×#482C22semidirect
193. C47×#481C22semidirect
194. C47×#466C22semidirect
195. C47×#466C22semidirect
196. C47×#465C22semidirect
197. C47×#465C22semidirect
198. C47×#450C22semidirect
199. C47×#449C22semidirect
200. C47×#449C22semidirect
201. C47×#447C22semidirect
202. C2×C22⋊C8×C47C22semidirect
983. #3188D47semidirect
1055. #525C2×D47semidirect
1058. C2×#121C2×D47semidirect
1070. #484C2×D47semidirect
1072. #482C2×D47semidirect
1073. #482C2×D47semidirect
1074. #481C2×D47semidirect
1095. #466C2×D47semidirect
1096. #466C2×D47semidirect
1098. #465C2×D47semidirect
1099. #465C2×D47semidirect
1120. #450C2×D47semidirect
1135. #449C2×D47semidirect
1136. #449C2×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
#202576962
#202570532
#202555422
#202554152
#202553922
#202553852
#202553362
#202552812
#202552412
#202551962
#202551412
#202550922
#202550712
#202550622
#202549322
#202549212
#202548802
#202548652
#202544862
#202544342
#202542922
#202542452
#202541362
#202536532
#202535822
#202526932
#202526512
#202526042
C2×#156892702
#202524422
C47×#31882
#6163947