Finite Group Databasebeta

← #27102510

Subgroups — #27102510

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#20257709C211yesmaximal, characteristic, complemented
2#20257048C211yesmaximal, characteristic, complemented
3#20255537C211yesmaximal, characteristic, complemented
4#20255409C211yesmaximal, characteristic, complemented
5#20255401C211yesmaximal, characteristic, complemented
6#20255385C211yesmaximal, characteristic, complemented
7#20255333C211yesmaximal, characteristic, complemented
8#20255277C211yesmaximal, characteristic, complemented
9#20255243C211yesmaximal, characteristic, complemented
10#20255194C211yesmaximal, characteristic, complemented
11#20255146C211yesmaximal, characteristic, complemented
12#20255099C211yesmaximal, characteristic, complemented
13#20255073C211yesmaximal, characteristic, complemented
14#20254934C211yesmaximal, characteristic, complemented
15#20254926C211yesmaximal, characteristic, complemented
16#20254879C211yesmaximal, characteristic, complemented
17#20254868C211yesmaximal, characteristic, complemented
18#20254479C211yesmaximal, characteristic, complemented
19#20254431C211yesmaximal, characteristic, complemented
20#20254284C211yesmaximal, characteristic, complemented
21#20254236C211yesmaximal, characteristic, complemented
22#20254148C211yesmaximal, characteristic, complemented
23#20254137C211yesmaximal, characteristic, complemented
24#20253646C211yesmaximal, characteristic, complemented
25#20253584C211yesmaximal, characteristic, complemented
26#20252687C211yesmaximal, characteristic, complemented
27#20252652C211yesmaximal, characteristic, complemented
28#20252601C211yesmaximal, characteristic, complemented
29C2×#15689265C211yesmaximal, characteristic, complemented
30#20252441C211yesmaximal, characteristic, complemented
31D4×D8×C47C211yesmaximal, characteristic, complemented
32C2×#13094069C2211yescharacteristic, complemented
33C22×#10625352C2211yescharacteristic, complemented
34C2×#13094050C2211yescharacteristic, complemented
35C2×#13094048C2211yescharacteristic, complemented
36C2×#13094043C2211yescharacteristic, complemented
37C2×#13094043C2211yescharacteristic, complemented
38C2×#13094043C2211yescharacteristic, complemented
39C22×#10625335C2211yescharacteristic, complemented
40#15689868—21no—
41#15689862—21no—
42#15689837C2211yescharacteristic, complemented
43#15689823C2211yescharacteristic, complemented
44#15689813C2211yescharacteristic, complemented
45#15689804—21no—
46#15689793C2211yescharacteristic, complemented
47#15689793C2211yescharacteristic, complemented
48#15689791C2211yescharacteristic, complemented
49#15689782C2211yescharacteristic
50#15689779C2211yescharacteristic, complemented
51#15689773C2211yescharacteristic, complemented
52#15689768C2211yescharacteristic, complemented
53#15689767—21no—
54#15689767C2211yescharacteristic, complemented
55#15689767C2211yescharacteristic, complemented
56#15689767C2211yescharacteristic, complemented
57#15689762—21no—
58#15689760—21no—
59D4×C22⋊D47—21no—
60D4×C22⋊D47C2211yescharacteristic, complemented
61#15689755—21no—
62#15689738C2211yescharacteristic, complemented
63#15689727C2211yescharacteristic, complemented
64#15689723—21no—
65#15689708—21no—
66#15689702C2211yescharacteristic, complemented
67#15689702C2211yescharacteristic, complemented
68#15689700—21no—
69#15689690C2211yescharacteristic, complemented
70#15689688—21no—
71#15689688—21no—
72#15689686C2211yescharacteristic, complemented
73#15689682—21no—
74#15689633C2211yescharacteristic, complemented
75#15689632C2211yescharacteristic
76#15689629—21no—
77C2×#13093996—21no—
78C2×#13093995C2211yescharacteristic, complemented
79#121×D47C2211yescharacteristic, complemented
80#15689602C2211yescharacteristic, complemented
81#15689511C2211yescharacteristic, complemented
82#15689510C2211yescharacteristic, complemented
83#15689506C2211yescharacteristic, complemented
84#15689487C2211yescharacteristic, complemented
85#15689481C2211yescharacteristic, complemented
86#15689478C2211yescharacteristic, complemented
87#15689468C2211yescharacteristic, complemented
88#15689465C2211yescharacteristic, complemented
89#15689460C2211yescharacteristic, complemented
90#15689460C2211yescharacteristic, complemented
91#15689450C2211yescharacteristic, complemented
92#15689446C2211yescharacteristic, complemented
93#15689444C2211yescharacteristic, complemented
94#15689440C2211yescharacteristic, complemented
95#15689437C2211yescharacteristic, complemented
96#15689435C2211yescharacteristic, complemented
97#15689435C2211yescharacteristic, complemented
98#15689435C2211yescharacteristic, complemented
99#15689434C2211yescharacteristic, complemented
100#15689431C2211yescharacteristic, complemented
101#15689423C2211yescharacteristic, complemented
102#15689417C2211yescharacteristic, complemented
103#15689401C2211yescharacteristic, complemented
104#15689373C2211yescharacteristic, complemented
105#15689368C2211yescharacteristic, complemented
106#15689367C2211yescharacteristic, complemented
107#15689367C2211yescharacteristic, complemented
108#15689364C2211yescharacteristic, complemented
109#15689358C2211yescharacteristic, complemented
110#15689358C2211yescharacteristic, complemented
111#15689357C2211yescharacteristic, complemented
112#15689356C2211yescharacteristic, complemented
113#15689356C2211yescharacteristic, complemented
114#15689356C2211yescharacteristic, complemented
115#15689352C2211yescharacteristic, complemented
116#15689351C2211yescharacteristic, complemented
117#15689350C2211yescharacteristic, complemented
118#15689346C2211yescharacteristic, complemented
119#15689344C2211yescharacteristic, complemented
120#15689338C2211yescharacteristic, complemented
121#15689336C2211yescharacteristic, complemented
122#15689336C2211yescharacteristic, complemented
123#15689336C2211yescharacteristic, complemented
124#15689320C2211yescharacteristic, complemented
125#15689320C2211yescharacteristic, complemented
126#15689316C2211yescharacteristic, complemented
127#15689316C2211yescharacteristic, complemented
128#15689287C2211yescharacteristic, complemented
129#15689286C2211yescharacteristic, complemented
130#15689286C2211yescharacteristic, complemented
131#15689286C2211yescharacteristic, complemented
132#15689281C2211yescharacteristic, complemented
133#15689275C2211yescharacteristic, complemented
134#15689274C2211yescharacteristic, complemented
135#15689274C2211yescharacteristic, complemented
136#15689274C2211yescharacteristic, complemented
137#15689269C2211yescharacteristic, complemented
138#15689266C2211yescharacteristic, complemented
139#15689265C2211yescharacteristic
140#15689265C2211yescharacteristic, complemented
141#15689265C2211yescharacteristic, complemented
142#15689265C2211yescharacteristic, complemented
143#15689265C2211yescharacteristic, complemented
144#15689265C2211yescharacteristic, complemented
145#15689265C2211yescharacteristic, complemented
146#15689265C2211yescharacteristic, complemented
147#15689265C2211yescharacteristic, complemented
148#15689265C2211yescharacteristic, complemented
149#15689265C2211yescharacteristic, complemented
150#15689265C2211yescharacteristic, complemented
151#15689265C2211yescharacteristic, complemented
152#15689265C2211yescharacteristic, complemented
153#15689261C2211yescharacteristic, complemented
154#15689257C2211yescharacteristic, complemented
155#15689255C2211yescharacteristic, complemented
156#15689255C2211yescharacteristic, complemented
157#15689255C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689235C2211yescharacteristic, complemented
161#15689223C2211yescharacteristic, complemented
162#15689223C2211yescharacteristic, complemented
163#15689220C2211yescharacteristic, complemented
164C4×Dic188C2211yescharacteristic, complemented
165#15689214C2211yescharacteristic, complemented
166D8×Dic47C2211yescharacteristic, complemented
167#15689197C2211yescharacteristic, complemented
168#15689195C2211yescharacteristic, complemented
169#15689194C2211yescharacteristic, complemented
170#15689193C2211yescharacteristic, complemented
171C8×D188C2211yescharacteristic, complemented
172C8×C22⋊D47C2211yescharacteristic, complemented
173(C22⋊D47)⋊C8C2211yescharacteristic, complemented
174#15689183C2211yescharacteristic, complemented
175#15689182C2211yescharacteristic, complemented
176#15689128C2211yescharacteristic, complemented
177#15689121C2211yescharacteristic, complemented
178#15689120C2211yescharacteristic, complemented
179#15689116C2211yescharacteristic, complemented
180#15689116C2211yescharacteristic, complemented
181C2×#13093949C2211yescharacteristic, complemented
182C2×#13093945C2211yescharacteristic, complemented
183#102×D47C2211yescharacteristic, complemented
184#15689089C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186C2×(C2×D47)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C22×D8×C47C2211yescharacteristic, complemented
189C22×D8×C47C2211yescharacteristic, complemented
190D42×C47C2211yescharacteristic
191D42×C47C2211yescharacteristic, complemented
192C47×#493C2211yescharacteristic, complemented
193C47×#466C2211yescharacteristic, complemented
194C47×#466C2211yescharacteristic, complemented
195C47×#459C2211yescharacteristic, complemented
196C47×#459C2211yescharacteristic, complemented
197C47×#447C2211yescharacteristic, complemented
198C47×#447C2211yescharacteristic, complemented
199C47×#447C2211yescharacteristic, complemented
200C47×#447C2211yescharacteristic, complemented
201C4×D8×C47C2211yescharacteristic, complemented
202C8×D4×C47C2211yescharacteristic, complemented
203#13094069—42no—
204#13094069—42no—
205C2×#10625350C2311yescharacteristic
206C2×#10625350C2311yescharacteristic
207C2×#10625352—21no—
208C2×#10625352—21no—
209C2×#10625352—21no—
210C2×#10625352—21no—
211C2×#10625352—42no—
212C2×#10625352—42no—
213C2×#10625352C2311yescharacteristic
214C2×#10625352C2311yescharacteristic
215C2×#10625352C2311yescharacteristic
216C2×#10625352C2311yescharacteristic
217C2×#10625352C2311yescharacteristic
218C2×#10625352C2311yescharacteristic
219C2×#10625352C2311yescharacteristic
220C22×Dic94C2311yescharacteristic
221C22×C22⋊D47—21no—
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×D47C2311yescharacteristic
229C2×D4×D47C2311yescharacteristic
230C23×Dic47—21no—
231C22×C4×D47C2311yescharacteristic
232#13094050—42no—
233#13094048—42no—
234#13094043—42no—
235#13094043—42no—
236#13094043—42no—
237C2×Dic188C2311yescharacteristic
238C2×Dic188C2311yescharacteristic
239C2×#10625325C2311yescharacteristic
240C2×#10625335—42no—
241C2×#10625335C2311yescharacteristic
242C2×#10625335C2311yescharacteristic
243C2×#10625335C2311yescharacteristic
244C2×#10625335C2311yescharacteristic
245C2×#10625335C2311yescharacteristic
246C2×#10625335C2311yescharacteristic
247C2×#10625335C2311yescharacteristic
248C2×#10625335C2311yescharacteristic
249C2×#10625335C2311yescharacteristic
250C2×#10625334C2311yescharacteristic
251C2×#10625334C2311yescharacteristic
252C2×#10625334C2311yescharacteristic
253C2×#10625329C2311yescharacteristic
254C2×#10625324C2311yescharacteristic
255C22×C47⋊C8C2311yescharacteristic
256C2×C8×D47C2311yescharacteristic
257C2×C8×D47C2311yescharacteristic
258C2×C8×D47C2311yescharacteristic
259#13094023C2311yescharacteristic
260#13094020—21no—
261#13094020—21no—
262#13094020—21no—
263#13094020—21no—
264#13094020C2311yescharacteristic
265#13094017—21no—
266#13094017—21no—
267#13094017—21no—
268#13094016C2311yescharacteristic
269#13094014—21no—
270#13094012C2311yescharacteristic
271#13094011—21no—
272#13094011—21no—
273#13094011C2311yescharacteristic
274#13094011C2311yescharacteristic
275#13094010—21no—
276#13094010—21no—
277#13094010—21no—
278#13094010—21no—
279#13094009D411yescharacteristic
280#13094008—21no—
281#13094007—21no—
282#13094007—21no—
283#13094006—21no—
284#13094006—21no—
285#13094006D411yescharacteristic
286#13094005—21no—
287#13094005—21no—
288#13094005—21no—
289#13094005—21no—
290#13094005—21no—
291#13094005—21no—
292#13094005—21no—
293#13094004C2311yescharacteristic
294#13094004C2311yescharacteristic
295#13094003—21no—
296#13094003C2311yescharacteristic
297#13094003C2311yescharacteristic
298#13094003C2311yescharacteristic
299#13094002—21no—
300#13094002D411yescharacteristic
301#13094001—21no—
302#13094001—21no—
303#13094001—21no—
304#13094001—21no—
305#13094001D411yescharacteristic
306#13093999C2311yescharacteristic
307#13093998—21no—
308#13093998C2311yescharacteristic
309#13093997—21no—
310#13093997—21no—
311#13093997—21no—
312#13093997—21no—
313#13093997—21no—
314#13093997D411yescharacteristic
315#13093996—21no—
316#13093996—21no—
317#13093996—21no—
318#13093996—21no—
319#13093996—21no—
320#13093996—21no—
321#13093996—21no—
322#13093996—21no—
323#13093996—21no—
324#13093996—21no—
325#13093996—21no—
326#13093996—21no—
327#13093996—21no—
328#13093996—21no—
329#13093996—21no—
330#13093996—21no—
331#13093996—21no—
332#13093996—21no—
333#13093996—21no—
334#13093996D411yescharacteristic
335#13093995—21no—
336#13093995—21no—
337#13093995—21no—
338#13093995—21no—
339#13093995C2311yescharacteristic
340#13093995C2311yescharacteristic
341#13093995C2311yescharacteristic
342#13093995C2311yescharacteristic
343#13093995C2311yescharacteristic
344#13093995C2311yescharacteristic
345#13093995C2311yescharacteristic
346#13093995C2311yescharacteristic
347#13093995C2311yescharacteristic
348#13093994—21no—
349#13093994D411yescharacteristic
350#13093993—21no—
351#13093993—21no—
352#13093993—21no—
353#13093993—21no—
354#13093993—21no—
355#13093993—21no—
356#13093992—21no—
357#13093992—21no—
358#13093992—21no—
359#13093992—21no—
360#13093992D411yescharacteristic
361C4×Dic94C2311yescharacteristic
362C4×Dic94C2311yescharacteristic
363#13093989C2311yescharacteristic
364C4×D188C2311yescharacteristic
365D4×Dic47—21no—
366D4×Dic47—21no—
367D4×Dic47—21no—
368D4×Dic47—21no—
369D4×Dic47C2311yescharacteristic
370D4×Dic47C2311yescharacteristic
371D4×Dic47C2311yescharacteristic
372C4×C22⋊D47—21no—
373C4×C22⋊D47—21no—
374C4×C22⋊D47C2311yescharacteristic
375C4×C22⋊D47C2311yescharacteristic
376(C22⋊D47)⋊C4—21no—
377(C22⋊D47)⋊C4—21no—
378(C22⋊D47)⋊C4—21no—
379(C22⋊D47)⋊C4—21no—
380#13093983C2311yescharacteristic
381#13093982C2311yescharacteristic
382#13093981C2311yescharacteristic
383#13093980—21no—
384#13093980—21no—
385#13093980—21no—
386C2×C4⋊Dic47C2311yescharacteristic
387C2×Dic47⋊C4—21no—
388C4⋊C4×D47C2311yescharacteristic
389C4⋊C4×D47C2311yescharacteristic
390C2×C22⋊Dic47—21no—
391C2×C22⋊Dic47—21no—
392C2×C22⋊Dic47—21no—
393C2×C22⋊Dic47—21no—
394C2×(C2×D47)⋊C4—21no—
395C22⋊C4×D47—21no—
396#13093958C2311yescharacteristic
397#13093958C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093957C2311yescharacteristic
400#13093957C2311yescharacteristic
401#13093956C2311yescharacteristic
402#13093955C2311yescharacteristic
403C4⋊(C47⋊C8)C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093947C2311yescharacteristic
414#13093947C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093945C2311yescharacteristic
420#13093945C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093945C2311yescharacteristic
430#13093945C2311yescharacteristic
431#13093944C2311yescharacteristic
432C22⋊(C47⋊C8)C2311yescharacteristic
433C22⋊(C47⋊C8)C2311yescharacteristic
434(C2×D47)⋊C8C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441(C2×D47)⋊C8C2311yescharacteristic
442#13093935C2311yescharacteristic
443#13093934C2311yescharacteristic
444C8×Dic47C2311yescharacteristic
445C22×D4×C47—21no—
446C22×D4×C47—21no—
447C22×D4×C47C2311yescharacteristic
448C22×D4×C47C2311yescharacteristic
449C22×D4×C47C2311yescharacteristic
450C22×D4×C47C2311yescharacteristic
451C2×D8×C47—42no—
452C2×D8×C47—42no—
453C2×D8×C47C2311yescharacteristic
454C2×D8×C47C2311yescharacteristic
455C2×D8×C47C2311yescharacteristic
456C2×D8×C47C2311yescharacteristic
457C2×D8×C47C2311yescharacteristic
458C2×D8×C47C2311yescharacteristic
459C2×D8×C47C2311yescharacteristic
460C2×D8×C47C2311yescharacteristic
461C2×D8×C47C2311yescharacteristic
462C22×C8×C47C2311yescharacteristic
463C22×C8×C47C2311yescharacteristic
464#127×C47C2311yescharacteristic
465#127×C47C2311yescharacteristic
466#121×C47—21no—
467#121×C47—21no—
468#121×C47C2311yescharacteristic
469#121×C47C2311yescharacteristic
470#121×C47C2311yescharacteristic
471#121×C47C2311yescharacteristic
472#120×C47—21no—
473#120×C47—21no—
474#120×C47—21no—
475#120×C47—21no—
476C4×D4×C47C2311yescharacteristic
477C4×D4×C47C2311yescharacteristic
478C4×D4×C47C2311yescharacteristic
479#107×C47C2311yescharacteristic
480C4⋊C8×C47C2311yescharacteristic
481#102×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486#102×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489C4×C8×C47C2311yescharacteristic
490C24×C47—21no—
491C24×C47—21no—
492C24×C47—21no—
493C24×C47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C23×D47C2×D411yescharacteristic
497C2×D4×C47—22no—
498C2×D4×C47—22no—
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—21no—
508C2×D4×C47—21no—
509C2×D4×C47—21no—
510C2×D4×C47—21no—
511C2×D4×C47—41no—
512C2×D4×C47—41no—
513C2×D4×C47—41no—
514C2×D4×C47—41no—
515C2×D4×C47—41no—
516C2×D4×C47—41no—
517C2×D4×C47—82no—
518C2×D4×C47—82no—
519C2×D4×C47C2×D411yescharacteristic
520C2×D4×C47C2411yescharacteristic
521C2×D4×C47C2411yescharacteristic
522C2×D4×C47C2411yescharacteristic
523C2×D4×C47C2411yescharacteristic
524C2×D4×C47C2411yescharacteristic
525C2×D4×C47C2411yescharacteristic
526C22×C4×C47—21no—
527C22×C4×C47—21no—
528C22×C4×C47C2411yescharacteristic
529C22×C4×C47C2411yescharacteristic
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—21no—
549C2×C22⋊D47—21no—
550C2×C22⋊D47—21no—
551C2×C22⋊D47—21no—
552C2×C22⋊D47—44no—
553C2×C22⋊D47—44no—
554C2×C22⋊D47—44no—
555C2×C22⋊D47—82no—
556C2×C22⋊D47—82no—
557C2×C22⋊D47C2×D411yescharacteristic
558C2×C22⋊D47C2×D411yescharacteristic
559C2×C22⋊D47C2×D411yescharacteristic
560C2×C22⋊D47C2×D411yescharacteristic
561C22×Dic47—21no—
562C22×Dic47—21no—
563C22×Dic47—21no—
564C22×Dic47—21no—
565C22×Dic47—21no—
566C22×Dic47—21no—
567C22×Dic47—21no—
568C22×Dic47—21no—
569C22×Dic47—21no—
570C22×Dic47—21no—
571C22×Dic47—21no—
572C22×Dic47—21no—
573C22×Dic47—44no—
574C22×Dic47C2×D411yescharacteristic
575#10625352—22no—
576#10625352—22no—
577#10625352—22no—
578#10625352—22no—
579#10625352—22no—
580#10625352—41no—
581#10625352—41no—
582#10625352—41no—
583#10625352—41no—
584#10625352—41no—
585#10625352—41no—
586#10625352—41no—
587#10625352—41no—
588#10625352—41no—
589#10625352—44no—
590#10625352—44no—
591#10625352—44no—
592#10625352—82no—
593D4×D47—22no—
594D4×D47—41no—
595D4×D47—41no—
596D4×D47—41no—
597D4×D47—44no—
598D4×D47—82no—
599#10625350—22no—
600#10625350—41no—
601#10625350—41no—
602#10625350—41no—
603C2×D188—21no—
604C2×D188C2×D411yescharacteristic
605C2×D188C2×D411yescharacteristic
606C2×D188C2411yescharacteristic
607C2×C4×D47—21no—
608C2×C4×D47—21no—
609C2×C4×D47—21no—
610C2×C4×D47—41no—
611C2×C4×D47—41no—
612C2×C4×D47C2×D411yescharacteristic
613C2×C4×D47C2×D411yescharacteristic
614C2×C4×D47C2411yescharacteristic
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—22no—
626D8×C47—22no—
627D8×C47—22no—
628D8×C47—41no—
629D8×C47—41no—
630D8×C47—41no—
631D8×C47—41no—
632D8×C47—41no—
633D8×C47—41no—
634C2×C8×C47—41no—
635C2×C8×C47—41no—
636C2×C8×C47C2411yescharacteristic
637C2×C8×C47C2411yescharacteristic
638C2×C8×C47C2411yescharacteristic
639C2×C8×C47C2411yescharacteristic
640C4⋊C4×C47C2×D411yescharacteristic
641C4⋊C4×C47C2411yescharacteristic
642C4⋊C4×C47C2411yescharacteristic
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×C47C2×D411yescharacteristic
650C22⋊C4×C47C2×D411yescharacteristic
651C42×C47C2411yescharacteristic
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⋊Dic47—21no—
663C22⋊Dic47—21no—
664C22⋊Dic47—21no—
665C22⋊Dic47—21no—
666C22⋊Dic47—21no—
667C22⋊Dic47—21no—
668C22⋊Dic47—21no—
669C22⋊Dic47—21no—
670C22⋊Dic47—21no—
671C22⋊Dic47—21no—
672C22⋊Dic47C2×D411yescharacteristic
673C22⋊Dic47C2×D411yescharacteristic
674#10625335—22no—
675#10625335—22no—
676#10625335—22no—
677#10625335—22no—
678#10625335—41no—
679#10625335—41no—
680#10625335—41no—
681#10625335—41no—
682#10625335—41no—
683#10625334—41no—
684#10625334—41no—
685#10625334—41no—
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)⋊C4C2×D411yescharacteristic
694(C2×D47)⋊C4C2×D411yescharacteristic
695(C2×D47)⋊C4C2×D411yescharacteristic
696(C2×D47)⋊C4C2×D411yescharacteristic
697(C2×D47)⋊C4C2×D411yescharacteristic
698(C2×D47)⋊C4C2×D411yescharacteristic
699C4⋊Dic47—21no—
700C4⋊Dic47—21no—
701C4⋊Dic47—21no—
702C4⋊Dic47C2×D411yescharacteristic
703C4⋊Dic47C2411yescharacteristic
704C4⋊Dic47C2411yescharacteristic
705C4⋊Dic47C2411yescharacteristic
706C4⋊Dic47C2411yescharacteristic
707Dic47⋊C4—21no—
708Dic47⋊C4—21no—
709Dic47⋊C4—21no—
710Dic47⋊C4—21no—
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4—21no—
714Dic47⋊C4—21no—
715Dic47⋊C4—21no—
716Dic47⋊C4—21no—
717Dic47⋊C4—21no—
718Dic47⋊C4C2×D411yescharacteristic
719Dic47⋊C4C2×D411yescharacteristic
720Dic47⋊C4C2×D411yescharacteristic
721Dic47⋊C4C2×D411yescharacteristic
722C4×Dic47—21no—
723C4×Dic47—21no—
724C4×Dic47—21no—
725C4×Dic47—21no—
726C4×Dic47—21no—
727C4×Dic47C2411yescharacteristic
728#10625329—41no—
729C2×C47⋊C8—41no—
730C2×C47⋊C8C2411yescharacteristic
731C2×C47⋊C8C2411yescharacteristic
732C2×C47⋊C8C2411yescharacteristic
733C2×C47⋊C8C2411yescharacteristic
734Dic188—22no—
735Dic188—41no—
736#10625325—41no—
737#10625324—41no—
738C8×D47—41no—
739C8×D47—41no—
740C8×D47—41no—
741C23×C47—21no—
742C23×C47—21no—
743C23×C47—21no—
744C23×C47—21no—
745C23×C47—21no—
746C23×C47—21no—
747C23×C47—42no—
748C23×C47—42no—
749C23×C47—42no—
750C23×C47—42no—
751C23×C47—81no—
752C23×C47—81no—
753C23×C47—81no—
754C23×C47—81no—
755C23×C47—81no—
756C23×C47—81no—
757C23×C47—81no—
758C23×C47—81no—
759C23×C47C22×D411yescharacteristic
760C23×C47C22×D411yescharacteristic
761C22×D47—22no—
762C22×D47—21no—
763C22×D47—41no—
764C22×D47—41no—
765C22×D47—42no—
766C22×D47—42no—
767C22×D47—81no—
768C22×D47—81no—
769C22×D47—81no—
770C22×D47—81no—
771C22×D47C22×D411yescharacteristic
772C22×D47C22×D411yescharacteristic
773C22×D47C22×D411yescharacteristic
774D4×C47—22no—
775D4×C47—21no—
776D4×C47—21no—
777D4×C47—21no—
778D4×C47—21no—
779D4×C47—21no—
780D4×C47—21no—
781D4×C47—21no—
782D4×C47—21no—
783D4×C47—21no—
784D4×C47—21no—
785D4×C47—21no—
786D4×C47—42no—
787D4×C47—42no—
788D4×C47—42no—
789D4×C47—42no—
790D4×C47—81no—
791D4×C47—81no—
792D4×C47—81no—
793D4×C47—81no—
794D4×C47—81no—
795D4×C47—81no—
796D4×C47—81no—
797D4×C47—81no—
798D4×C47H(5,𝔽2)12yes—
799C2×C4×C47—21no—
800C2×C4×C47—21no—
801C2×C4×C47—21no—
802C2×C4×C47—21no—
803C2×C4×C47—21no—
804C2×C4×C47—21no—
805C2×C4×C47—81no—
806C2×C4×C47—81no—
807C2×C4×C47C22×D411yescharacteristic
808C2×C4×C47C22×D411yescharacteristic
809C2×C4×C47C22×D411yescharacteristic
810C2×C4×C47C22×D411yescharacteristic
811C2×C4×C47C2511yescharacteristic
812C22⋊D47—24no—
813C22⋊D47—22no—
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—42no—
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—
836C22⋊D47—81no—
837C22⋊D47—81no—
838C2×Dic47—24no—
839C2×Dic47—21no—
840C2×Dic47—21no—
841C2×Dic47—21no—
842C2×Dic47—21no—
843C2×Dic47—21no—
844C2×Dic47—21no—
845C2×Dic47—21no—
846C2×Dic47—41no—
847C2×Dic47—42no—
848C2×Dic47—42no—
849C2×Dic47—42no—
850C2×Dic47—42no—
851C2×Dic47—42no—
852C2×Dic47—42no—
853C2×Dic47—81no—
854C2×Dic47—81no—
855C2×Dic47—81no—
856C2×Dic47—81no—
857C2×Dic47—81no—
858C2×Dic47C22×D411yescharacteristic
859C2×Dic47C22×D411yescharacteristic
860C2×Dic47C22×D411yescharacteristic
861C2×Dic47C22×D411yescharacteristic
862C2×Dic47C22×D411yescharacteristic
863D188—21no—
864D188—21no—
865D188—41no—
866D188—41no—
867D188—81no—
868C4×D47—21no—
869C4×D47—21no—
870C4×D47—21no—
871C4×D47—21no—
872C4×D47—21no—
873C4×D47—21no—
874C4×D47—41no—
875C4×D47—41no—
876C4×D47—42no—
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—22no—
901C22×C47—21no—
902C22×C47—21no—
903C22×C47—41no—
904C22×C47—41no—
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—41no—
918C22×C47—41no—
919C22×C47—41no—
920C22×C47—84no—
921C22×C47—162no—
922C22×C47—162no—
923C22×C47—162no—
924C22×C47#57612yes—
925C22×C47C23×D411yescharacteristic
926C2×D47—21no—
927C2×D47—21no—
928C2×D47—21no—
929C2×D47—21no—
930C2×D47—21no—
931C2×D47—21no—
932C2×D47—21no—
933C2×D47—21no—
934C2×D47—21no—
935C2×D47—41no—
936C2×D47—41no—
937C2×D47—41no—
938C2×D47—82no—
939C2×D47—162no—
940C2×D47—162no—
941C4×C47—21no—
942C4×C47—21no—
943C4×C47—21no—
944C4×C47—21no—
945C4×C47—41no—
946C4×C47—41no—
947C4×C47C2×H(5,𝔽2)11yescharacteristic
948C4×C47C2×H(5,𝔽2)11yescharacteristic
949Dic47—21no—
950Dic47—22no—
951Dic47—21no—
952Dic47—21no—
953Dic47—21no—
954Dic47—21no—
955Dic47—41no—
956Dic47—41no—
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×D8D4711yescharacteristic, complemented
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#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—42no—
994C2×C47—41no—
995C2×C47—81no—
996C2×C47—81no—
997C2×C47—81no—
998C2×C47—81no—
999C2×C47—81no—
1000C2×C47#348411yescharacteristic
1001C2×C47C2×#57611yescharacteristic
1002C2×C47#358411yescharacteristic
1003D47—41no—
1004D47—41no—
1005D47—41no—
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×D8C2×D4711yescharacteristic, complemented
1016C22×D8C2×D4711yescharacteristic, complemented
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—941no—
1038D42—941no—
1039D42C2×D4711yescharacteristic
1040D42C2×D4711yescharacteristic, complemented
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—471no—
1057C2×#121—471no—
1058C2×#121—941no—
1059#520—471no—
1060#496—471no—
1061#496—471no—
1062#495—471no—
1063#493C2×D4711yescharacteristic, complemented
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#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#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#459C2×D4711yescharacteristic, complemented
1111#459C2×D4711yescharacteristic, complemented
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×D8C2×D4711yescharacteristic, complemented
1156#435—471no—
1157#435—471no—
1158#435—471no—
1159#435—471no—
1160C8×D4—471no—
1161C8×D4—471no—
1162C8×D4—471no—
1163C8×D4C2×D4711yescharacteristic, complemented
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⋊C8—471no—
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—941no—
1202C22×D4—941no—
1203C22×D4—941no—
1204C22×D4—941no—
1205C22×D4—941no—
1206C22×D4—941no—
1207C22×D4—941no—
1208C22×D4C22×D4711yescharacteristic
1209C22×D4C22×D4711yescharacteristic
1210C22×D4C22×D4711yescharacteristic
1211C22×D4C22×D4711yescharacteristic
1212C23×C4—471no—
1213C23×C4—941no—
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—42no—
1233C2×D8—42no—
1234C2×D8—471no—
1235C2×D8—471no—
1236C2×D8—471no—
1237C2×D8C22×D4711yescharacteristic
1238C2×D8C22×D4711yescharacteristic
1239C2×D8C22×D4711yescharacteristic
1240C2×D8C22×D4711yescharacteristic
1241C2×D8C22×D4711yescharacteristic
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—941no—
1257#127—941no—
1258#127—941no—
1259#127—941no—
1260#127C22×D4711yescharacteristic
1261#127C22×D4711yescharacteristic
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—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—471no—
1317#121—471no—
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#121—941no—
1346#121—941no—
1347#121C22×D4711yescharacteristic
1348#121C22×D4711yescharacteristic
1349#121C22×D4711yescharacteristic
1350#121C22×D4711yescharacteristic
1351#120—21no—
1352#120—21no—
1353#120—21no—
1354#120—21no—
1355#120—471no—
1356#120—471no—
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—941no—
1378C4×D4—941no—
1379C4×D4—941no—
1380C4×D4—941no—
1381C4×D4—941no—
1382C4×D4—941no—
1383C4×D4—941no—
1384C4×D4—941no—
1385C4×D4—941no—
1386C4×D4—941no—
1387C4×D4C22×D4711yescharacteristic
1388C4×D4C22×D4711yescharacteristic
1389C4×D4C22×D4711yescharacteristic
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—471no—
1398C2×C4⋊C4—471no—
1399C2×C4⋊C4—941no—
1400C2×C22⋊C4—941no—
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#107—471no—
1411#107C22×D4711yescharacteristic
1412#106—471no—
1413#106—471no—
1414C4⋊C8—471no—
1415C4⋊C8—471no—
1416C4⋊C8—471no—
1417C4⋊C8C22×D4711yescharacteristic
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#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⋊C8—471no—
1459C22⋊C8—471no—
1460C22⋊C8C22×D4711yescharacteristic
1461C22⋊C8C22×D4711yescharacteristic
1462#97—471no—
1463#97—471no—
1464C4×C8—471no—
1465C4×C8C22×D4711yescharacteristic
1466C24—21no—
1467C24—21no—
1468C24—21no—
1469C24—21no—
1470C24—471no—
1471C24—941no—
1472C24—941no—
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—1881no—
1489#41—1881no—
1490#41—1881no—
1491#41—1881no—
1492#41—1884no—
1493#41—1884no—
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—22no—
1504C2×D4—22no—
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—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—41no—
1518C2×D4—41no—
1519C2×D4—41no—
1520C2×D4—41no—
1521C2×D4—41no—
1522C2×D4—41no—
1523C2×D4—82no—
1524C2×D4—82no—
1525C2×D4—471no—
1526C2×D4—471no—
1527C2×D4—471no—
1528C2×D4—471no—
1529C2×D4—471no—
1530C2×D4—471no—
1531C2×D4—471no—
1532C2×D4—941no—
1533C2×D4—941no—
1534C2×D4—941no—
1535C2×D4—941no—
1536C2×D4—941no—
1537C2×D4—941no—
1538C2×D4—942no—
1539C2×D4—941no—
1540C2×D4—941no—
1541C2×D4—941no—
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—941no—
1556C2×D4—3762no—
1557C2×D4—3762no—
1558C2×D4—3762no—
1559C2×D4—1881no—
1560C2×D4—1881no—
1561C2×D4—1881no—
1562C2×D4—1884no—
1563C2×D4—1884no—
1564C2×D4—1884no—
1565C2×D4—1884no—
1566C2×D4D4×D4711yescharacteristic
1567C2×D4C23×D4711yescharacteristic
1568C2×D4C23×D4711yescharacteristic
1569C2×D4C23×D4711yescharacteristic
1570C2×D4C23×D4711yescharacteristic
1571C2×D4C23×D4711yescharacteristic
1572C2×D4C23×D4711yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—471no—
1576C22×C4—471no—
1577C22×C4—471no—
1578C22×C4—471no—
1579C22×C4—471no—
1580C22×C4—471no—
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—941no—
1595C22×C4—941no—
1596C22×C4—1881no—
1597C22×C4—1881no—
1598C22×C4—1884no—
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—22no—
1614D8—22no—
1615D8—22no—
1616D8—41no—
1617D8—41no—
1618D8—41no—
1619D8—41no—
1620D8—41no—
1621D8—41no—
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—471no—
1642C4⋊C4—471no—
1643C4⋊C4—471no—
1644C4⋊C4—471no—
1645C4⋊C4—471no—
1646C4⋊C4—471no—
1647C4⋊C4—471no—
1648C4⋊C4—471no—
1649C4⋊C4—471no—
1650C4⋊C4—941no—
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⋊C4—941no—
1664C4⋊C4D4×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—471no—
1674C22⋊C4—471no—
1675C22⋊C4—471no—
1676C22⋊C4—471no—
1677C22⋊C4—471no—
1678C22⋊C4—471no—
1679C22⋊C4—471no—
1680C22⋊C4—471no—
1681C22⋊C4—941no—
1682C22⋊C4—941no—
1683C22⋊C4—941no—
1684C22⋊C4—941no—
1685C22⋊C4—941no—
1686C22⋊C4—941no—
1687C22⋊C4—941no—
1688C22⋊C4—941no—
1689C22⋊C4—941no—
1690C22⋊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⋊C4D4×D4711yescharacteristic
1709C22⋊C4D4×D4711yescharacteristic
1710C42—471no—
1711C42—941no—
1712C42—941no—
1713C42—941no—
1714C42—941no—
1715C42—941no—
1716C42C23×D4711yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—21no—
1723C23—42no—
1724C23—42no—
1725C23—42no—
1726C23—42no—
1727C23—81no—
1728C23—81no—
1729C23—81no—
1730C23—81no—
1731C23—81no—
1732C23—81no—
1733C23—81no—
1734C23—81no—
1735C23—471no—
1736C23—471no—
1737C23—471no—
1738C23—942no—
1739C23—941no—
1740C23—3761no—
1741C23—3761no—
1742C23—3761no—
1743C23—3761no—
1744C23—1881no—
1745C23—1881no—
1746C23—1882no—
1747C23—1882no—
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—22no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—42no—
1772D4—42no—
1773D4—42no—
1774D4—42no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—81no—
1779D4—81no—
1780D4—81no—
1781D4—81no—
1782D4—81no—
1783D4—944no—
1784D4—942no—
1785D4—941no—
1786D4—941no—
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—1881no—
1803D4—1881no—
1804D4—1881no—
1805D4—1881no—
1806D4—1882no—
1807D4—1882no—
1808D4—1882no—
1809D4—1882no—
1810D4—1882no—
1811D4—1882no—
1812D4—1882no—
1813D4—1882no—
1814D4#1309406912yes—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—81no—
1822C2×C4—81no—
1823C2×C4—471no—
1824C2×C4—471no—
1825C2×C4—471no—
1826C2×C4—471no—
1827C2×C4—471no—
1828C2×C4—944no—
1829C2×C4—941no—
1830C2×C4—941no—
1831C2×C4—941no—
1832C2×C4—941no—
1833C2×C4—941no—
1834C2×C4—941no—
1835C2×C4—941no—
1836C2×C4—941no—
1837C2×C4—941no—
1838C2×C4—941no—
1839C2×C4—941no—
1840C2×C4—941no—
1841C2×C4—941no—
1842C2×C4—3761no—
1843C2×C4—3761no—
1844C2×C4—3761no—
1845C2×C4—3761no—
1846C2×C4—3761no—
1847C2×C4—3761no—
1848C2×C4—3761no—
1849C2×C4—1881no—
1850C2×C4—1881no—
1851C2×C4—1882no—
1852C2×C4—1881no—
1853C2×C4—1882no—
1854C2×C4—1882no—
1855C2×C4—1882no—
1856C2×C4—1882no—
1857C2×C4—1882no—
1858C2×C4—1882no—
1859C2×C4C2×D4×D4711yescharacteristic
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—22no—
1878C22—41no—
1879C22—41no—
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—41no—
1893C22—41no—
1894C22—41no—
1895C22—84no—
1896C22—162no—
1897C22—162no—
1898C22—162no—
1899C22—941no—
1900C22—941no—
1901C22—941no—
1902C22—941no—
1903C22—941no—
1904C22—941no—
1905C22—941no—
1906C22—941no—
1907C22—941no—
1908C22—3762no—
1909C22—1881no—
1910C22—1881no—
1911C22—1881no—
1912C22—7522no—
1913C22—7522no—
1914C22#1568992412yes—
1915C22C22×D4×D4711yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—41no—
1921C4—41no—
1922C4—941no—
1923C4—941no—
1924C4—941no—
1925C4—941no—
1926C4—941no—
1927C4—942no—
1928C4—1881no—
1929C4—1881no—
1930C4—1881no—
1931C4—1881no—
1932C4—1881no—
1933C4—1881no—
1934C4H(5,𝔽2)×D4711yescharacteristic
1935C4C2×#1309406911yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—42no—
1939C2—81no—
1940C2—81no—
1941C2—81no—
1942C2—81no—
1943C2—81no—
1944C2—3761no—
1945C2—1881no—
1946C2—1881no—
1947C2—1881no—
1948C2#2025701611yescharacteristic
1949C2C2×#1568992411yescharacteristic
1950C2#2025815611yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingD4×D8×C47C2
socleC22×C47C23×D4
hypercenterD4×D8D47
hypocenterC47#61639
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ D4×D8

Complements

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

NH ≅ G/Ntype
1. #20257709C2semidirect
2. #20257048C2semidirect
3. #20255537C2semidirect
4. #20255409C2semidirect
5. #20255401C2semidirect
6. #20255385C2semidirect
7. #20255333C2semidirect
8. #20255277C2semidirect
9. #20255243C2semidirect
10. #20255194C2semidirect
11. #20255146C2semidirect
12. #20255099C2semidirect
13. #20255073C2semidirect
14. #20254934C2semidirect
15. #20254926C2semidirect
16. #20254879C2semidirect
17. #20254868C2semidirect
18. #20254479C2semidirect
19. #20254431C2semidirect
20. #20254284C2semidirect
21. #20254236C2semidirect
22. #20254148C2semidirect
23. #20254137C2semidirect
24. #20253646C2semidirect
25. #20253584C2semidirect
26. #20252687C2semidirect
27. #20252652C2semidirect
28. #20252601C2semidirect
29. C2×#15689265C2semidirect
30. #20252441C2semidirect
31. D4×D8×C47C2semidirect
32. C2×#13094069C22semidirect
33. C22×#10625352C22semidirect
34. C2×#13094050C22semidirect
35. C2×#13094048C22semidirect
36. C2×#13094043C22semidirect
37. C2×#13094043C22semidirect
38. C2×#13094043C22semidirect
39. C22×#10625335C22semidirect
42. #15689837C22semidirect
43. #15689823C22semidirect
44. #15689813C22semidirect
46. #15689793C22semidirect
47. #15689793C22semidirect
48. #15689791C22semidirect
50. #15689779C22semidirect
51. #15689773C22semidirect
52. #15689768C22semidirect
54. #15689767C22semidirect
55. #15689767C22semidirect
56. #15689767C22semidirect
60. D4×C22⋊D47C22semidirect
62. #15689738C22semidirect
63. #15689727C22semidirect
66. #15689702C22semidirect
67. #15689702C22semidirect
69. #15689690C22semidirect
72. #15689686C22semidirect
74. #15689633C22semidirect
78. C2×#13093995C22semidirect
79. #121×D47C22semidirect
80. #15689602C22semidirect
81. #15689511C22semidirect
82. #15689510C22semidirect
83. #15689506C22semidirect
84. #15689487C22semidirect
85. #15689481C22semidirect
86. #15689478C22semidirect
87. #15689468C22semidirect
88. #15689465C22semidirect
89. #15689460C22semidirect
90. #15689460C22semidirect
91. #15689450C22semidirect
92. #15689446C22semidirect
93. #15689444C22semidirect
94. #15689440C22semidirect
95. #15689437C22semidirect
96. #15689435C22semidirect
97. #15689435C22semidirect
98. #15689435C22semidirect
99. #15689434C22semidirect
100. #15689431C22semidirect
101. #15689423C22semidirect
102. #15689417C22semidirect
103. #15689401C22semidirect
104. #15689373C22semidirect
105. #15689368C22semidirect
106. #15689367C22semidirect
107. #15689367C22semidirect
108. #15689364C22semidirect
109. #15689358C22semidirect
110. #15689358C22semidirect
111. #15689357C22semidirect
112. #15689356C22semidirect
113. #15689356C22semidirect
114. #15689356C22semidirect
115. #15689352C22semidirect
116. #15689351C22semidirect
117. #15689350C22semidirect
118. #15689346C22semidirect
119. #15689344C22semidirect
120. #15689338C22semidirect
121. #15689336C22semidirect
122. #15689336C22semidirect
123. #15689336C22semidirect
124. #15689320C22semidirect
125. #15689320C22semidirect
126. #15689316C22semidirect
127. #15689316C22semidirect
128. #15689287C22semidirect
129. #15689286C22semidirect
130. #15689286C22semidirect
131. #15689286C22semidirect
132. #15689281C22semidirect
133. #15689275C22semidirect
134. #15689274C22semidirect
135. #15689274C22semidirect
136. #15689274C22semidirect
137. #15689269C22semidirect
138. #15689266C22semidirect
140. #15689265C22semidirect
141. #15689265C22semidirect
142. #15689265C22semidirect
143. #15689265C22semidirect
144. #15689265C22semidirect
145. #15689265C22semidirect
146. #15689265C22semidirect
147. #15689265C22semidirect
148. #15689265C22semidirect
149. #15689265C22semidirect
150. #15689265C22semidirect
151. #15689265C22semidirect
152. #15689265C22semidirect
153. #15689261C22semidirect
154. #15689257C22semidirect
155. #15689255C22semidirect
156. #15689255C22semidirect
157. #15689255C22semidirect
158. #15689255C22semidirect
159. #15689255C22semidirect
160. #15689235C22semidirect
161. #15689223C22semidirect
162. #15689223C22semidirect
163. #15689220C22semidirect
164. C4×Dic188C22semidirect
165. #15689214C22semidirect
166. D8×Dic47C22semidirect
167. #15689197C22semidirect
168. #15689195C22semidirect
169. #15689194C22semidirect
170. #15689193C22semidirect
171. C8×D188C22semidirect
172. C8×C22⋊D47C22semidirect
173. (C22⋊D47)⋊C8C22semidirect
174. #15689183C22semidirect
175. #15689182C22semidirect
176. #15689128C22semidirect
177. #15689121C22semidirect
178. #15689120C22semidirect
179. #15689116C22semidirect
180. #15689116C22semidirect
181. C2×#13093949C22semidirect
182. C2×#13093945C22semidirect
183. #102×D47C22semidirect
184. #15689089C22semidirect
185. #15689088C22semidirect
186. C2×(C2×D47)⋊C8C22semidirect
187. C22⋊C8×D47C22semidirect
188. C22×D8×C47C22semidirect
189. C22×D8×C47C22semidirect
191. D42×C47C22semidirect
192. C47×#493C22semidirect
193. C47×#466C22semidirect
194. C47×#466C22semidirect
195. C47×#459C22semidirect
196. C47×#459C22semidirect
197. C47×#447C22semidirect
198. C47×#447C22semidirect
199. C47×#447C22semidirect
200. C47×#447C22semidirect
201. C4×D8×C47C22semidirect
202. C8×D4×C47C22semidirect
974. D4×D8D47semidirect
1015. C22×D8C2×D47semidirect
1016. C22×D8C2×D47semidirect
1040. D42C2×D47semidirect
1063. #493C2×D47semidirect
1095. #466C2×D47semidirect
1096. #466C2×D47semidirect
1110. #459C2×D47semidirect
1111. #459C2×D47semidirect
1144. #447C2×D47semidirect
1145. #447C2×D47semidirect
1146. #447C2×D47semidirect
1147. #447C2×D47semidirect
1155. C4×D8C2×D47semidirect
1163. C8×D4C2×D47semidirect
1178. C47#61639semidirect

Maximal subgroups

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

subgroupindex
#202577092
#202570482
#202555372
#202554092
#202554012
#202553852
#202553332
#202552772
#202552432
#202551942
#202551462
#202550992
#202550732
#202549342
#202549262
#202548792
#202548682
#202544792
#202544312
#202542842
#202542362
#202541482
#202541372
#202536462
#202535842
#202526872
#202526522
#202526012
C2×#156892652
#202524412
D4×D8×C472
#6163947