Finite Group Databasebeta

← #27102524

Subgroups — #27102524

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#20257694C211yesmaximal, characteristic, complemented
2#20257056C211yesmaximal, characteristic, complemented
3#20255550C211yesmaximal, characteristic, complemented
4#20255416C211yesmaximal, characteristic, complemented
5#20255394C211yesmaximal, characteristic, complemented
6#20255372C211yesmaximal, characteristic, complemented
7#20255331C211yesmaximal, characteristic, complemented
8#20255280C211yesmaximal, characteristic, complemented
9#20255240C211yesmaximal, characteristic, complemented
10#20255196C211yesmaximal, characteristic, complemented
11#20255089C211yesmaximal, characteristic, complemented
12#20255071C211yesmaximal, characteristic, complemented
13#20255063C211yesmaximal, characteristic, complemented
14#20254929C211yesmaximal, characteristic, complemented
15#20254928C211yesmaximal, characteristic, complemented
16#20254878C211yesmaximal, characteristic, complemented
17#20254871C211yesmaximal, characteristic, complemented
18#20254487C211yesmaximal, characteristic, complemented
19#20254431C211yesmaximal, characteristic, complemented
20#20254287C211yesmaximal, characteristic, complemented
21#20254233C211yesmaximal, characteristic, complemented
22#20254151C211yesmaximal, characteristic, complemented
23#20254135C211yesmaximal, characteristic, complemented
24#20253656C211yesmaximal, characteristic, complemented
25#20253586C211yesmaximal, characteristic, complemented
26#20252688C211yesmaximal, characteristic, complemented
27#20252653C211yesmaximal, characteristic, complemented
28#20252602C211yesmaximal, characteristic, complemented
29#449×D47C211yesmaximal, characteristic, complemented
30#20252441C211yesmaximal, characteristic, complemented
31C47×#3287C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic, complemented
33C2×#41×D47C2211yescharacteristic, complemented
34C2×#13094051C2211yescharacteristic, complemented
35C2×#13094049C2211yescharacteristic, complemented
36C2×#13094044C2211yescharacteristic, complemented
37C2×SD16×D47C2211yescharacteristic, complemented
38C2×D8×D47C2211yescharacteristic, complemented
39C2×D8×D47C2211yescharacteristic, complemented
40#15689868—21no—
41#15689860—21no—
42#15689837C2211yescharacteristic, complemented
43#15689819C2211yescharacteristic, complemented
44#15689814C2211yescharacteristic, complemented
45#15689802—21no—
46#15689792C2211yescharacteristic, complemented
47#15689785C2211yescharacteristic
48#15689780C2211yescharacteristic, complemented
49#15689773C2211yescharacteristic, complemented
50#15689770—21no—
51#15689770C2211yescharacteristic, complemented
52#15689769—21no—
53#15689769C2211yescharacteristic, complemented
54#15689762—21no—
55#15689761C2211yescharacteristic, complemented
56#15689761C2211yescharacteristic, complemented
57#15689758—21no—
58#15689758C2211yescharacteristic
59#15689758C2211yescharacteristic, complemented
60#15689757—21no—
61#15689757C2211yescharacteristic, complemented
62#15689745C2211yescharacteristic, complemented
63#15689727C2211yescharacteristic, complemented
64#15689723—21no—
65#15689706—21no—
66#15689702—21no—
67#15689702C2211yescharacteristic, complemented
68#15689701C2211yescharacteristic, complemented
69#15689689C2211yescharacteristic, complemented
70#15689686—21no—
71#15689686—21no—
72#15689686C2211yescharacteristic, complemented
73#15689681—21no—
74#15689632—21no—
75#15689632C2211yescharacteristic
76#15689630C2211yescharacteristic, complemented
77#121×D47—21no—
78#121×D47C2211yescharacteristic, complemented
79#121×D47C2211yescharacteristic, complemented
80#15689605C2211yescharacteristic, complemented
81#15689510C2211yescharacteristic, complemented
82#15689509C2211yescharacteristic, complemented
83#15689504C2211yescharacteristic, complemented
84#15689487C2211yescharacteristic, complemented
85#15689481C2211yescharacteristic, complemented
86#15689478C2211yescharacteristic, complemented
87#15689468C2211yescharacteristic, complemented
88#15689466C2211yescharacteristic, complemented
89#15689459C2211yescharacteristic, complemented
90#15689457C2211yescharacteristic, complemented
91#15689448C2211yescharacteristic, complemented
92#15689446C2211yescharacteristic, complemented
93#15689444C2211yescharacteristic, complemented
94#15689440C2211yescharacteristic, complemented
95#15689438C2211yescharacteristic, complemented
96#15689438C2211yescharacteristic, complemented
97#15689435C2211yescharacteristic, complemented
98#15689435C2211yescharacteristic, complemented
99#15689434C2211yescharacteristic, complemented
100#15689430C2211yescharacteristic, complemented
101#15689424C2211yescharacteristic, complemented
102#15689416C2211yescharacteristic, complemented
103#15689402C2211yescharacteristic, complemented
104#15689374C2211yescharacteristic, complemented
105#15689368C2211yescharacteristic, complemented
106#15689367C2211yescharacteristic, complemented
107#15689366C2211yescharacteristic, complemented
108#15689363C2211yescharacteristic, complemented
109#15689359C2211yescharacteristic, complemented
110#15689358C2211yescharacteristic, complemented
111#15689357C2211yescharacteristic, complemented
112#15689357C2211yescharacteristic, complemented
113#15689356C2211yescharacteristic, complemented
114#15689356C2211yescharacteristic, complemented
115#15689355C2211yescharacteristic, complemented
116#15689352C2211yescharacteristic, complemented
117#15689349C2211yescharacteristic, complemented
118#15689347C2211yescharacteristic, complemented
119#15689345C2211yescharacteristic, complemented
120#15689341C2211yescharacteristic, complemented
121#15689339C2211yescharacteristic, complemented
122#15689336C2211yescharacteristic, complemented
123#15689336C2211yescharacteristic, complemented
124#15689316C2211yescharacteristic, complemented
125#15689316C2211yescharacteristic, complemented
126#15689315C2211yescharacteristic, complemented
127#15689315C2211yescharacteristic, complemented
128#15689285C2211yescharacteristic, complemented
129#15689284C2211yescharacteristic, complemented
130#15689284C2211yescharacteristic, complemented
131#15689282C2211yescharacteristic, complemented
132#15689277C2211yescharacteristic, complemented
133#15689275C2211yescharacteristic, complemented
134#15689272C2211yescharacteristic, complemented
135#15689272C2211yescharacteristic, complemented
136#15689272C2211yescharacteristic, complemented
137#15689271C2211yescharacteristic
138#15689270C2211yescharacteristic, complemented
139#15689269C2211yescharacteristic, complemented
140#15689268C2211yescharacteristic, complemented
141#15689268C2211yescharacteristic, complemented
142#15689268C2211yescharacteristic, complemented
143#15689267C2211yescharacteristic, complemented
144#15689267C2211yescharacteristic, complemented
145#15689267C2211yescharacteristic, complemented
146#15689266C2211yescharacteristic, complemented
147#15689265C2211yescharacteristic, complemented
148#15689265C2211yescharacteristic, complemented
149#15689260C2211yescharacteristic, complemented
150#15689259C2211yescharacteristic, complemented
151#15689258C2211yescharacteristic, complemented
152#15689258C2211yescharacteristic, complemented
153#15689256C2211yescharacteristic, complemented
154#15689255C2211yescharacteristic, complemented
155#15689255C2211yescharacteristic, complemented
156#15689255C2211yescharacteristic, complemented
157#15689255C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689232C2211yescharacteristic, complemented
161#15689224C2211yescharacteristic, complemented
162#15689221C2211yescharacteristic, complemented
163#15689221C2211yescharacteristic, complemented
164SD16×Dic47C2211yescharacteristic, complemented
165C4×D376C2211yescharacteristic, complemented
166#15689203C2211yescharacteristic, 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#15689126C2211yescharacteristic, complemented
177#15689124C2211yescharacteristic, complemented
178#15689120C2211yescharacteristic, complemented
179#15689119C2211yescharacteristic, complemented
180#15689118C2211yescharacteristic, complemented
181#103×D47C2211yescharacteristic, complemented
182C2×#13093946C2211yescharacteristic, complemented
183#102×D47C2211yescharacteristic, complemented
184#15689089C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186C2×(C2×D47)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C2×#135×C47C2211yescharacteristic, complemented
189C2×#135×C47C2211yescharacteristic, complemented
190C47×#550C2211yescharacteristic, complemented
191C47×#550C2211yescharacteristic, complemented
192C47×#493C2211yescharacteristic, complemented
193C47×#466C2211yescharacteristic, complemented
194C47×#466C2211yescharacteristic, complemented
195C47×#460C2211yescharacteristic, complemented
196C47×#460C2211yescharacteristic, complemented
197C47×#449C2211yescharacteristic, complemented
198C47×#449C2211yescharacteristic, complemented
199C47×#449C2211yescharacteristic, complemented
200C47×#449C2211yescharacteristic, complemented
201C4×Q16×C47C2211yescharacteristic, complemented
202C8×D4×C47C2211yescharacteristic, complemented
203#13094070—42no—
204#13094070—42no—
205C2×#10625354C2311yescharacteristic
206C2×#10625354C2311yescharacteristic
207C2×#10625350—21no—
208C2×#10625350—21no—
209C2×#10625350C2311yescharacteristic
210C2×#10625350C2311yescharacteristic
211C2×#10625352—21no—
212C2×#10625352—21no—
213C2×#10625352C2311yescharacteristic
214#41×D47—42no—
215#41×D47—42no—
216C2×Q8×D47C2311yescharacteristic
217C22×D188—21no—
218C22×D188C2311yescharacteristic
219C2×D4×D47—21no—
220C2×D4×D47—21no—
221C2×D4×D47—21no—
222C2×D4×D47—21no—
223C2×D4×D47—21no—
224C2×D4×D47—21no—
225C2×D4×D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47C2311yescharacteristic
228C2×D4×D47C2311yescharacteristic
229C2×D4×D47C2311yescharacteristic
230C2×D4×D47C2311yescharacteristic
231C2×D4×D47C2311yescharacteristic
232C22×C4×D47—21no—
233C22×C4×D47C2311yescharacteristic
234#13094051—42no—
235#13094049—42no—
236#13094044—42no—
237C2×#10625337C2311yescharacteristic
238C2×#10625325C2311yescharacteristic
239C2×#10625335C2311yescharacteristic
240C2×#10625335C2311yescharacteristic
241C2×#10625336C2311yescharacteristic
242C2×#10625336C2311yescharacteristic
243C2×#10625336C2311yescharacteristic
244SD16×D47—42no—
245C2×D376C2311yescharacteristic
246C2×D376C2311yescharacteristic
247C2×#10625334C2311yescharacteristic
248C2×#10625334C2311yescharacteristic
249C2×#10625334C2311yescharacteristic
250C2×#10625334C2311yescharacteristic
251C2×#10625334C2311yescharacteristic
252C2×#10625334C2311yescharacteristic
253D8×D47—42no—
254D8×D47—42no—
255C2×#10625329C2311yescharacteristic
256C2×#10625324C2311yescharacteristic
257C22×C47⋊C8C2311yescharacteristic
258C2×C8×D47C2311yescharacteristic
259C2×C8×D47C2311yescharacteristic
260C2×C8×D47C2311yescharacteristic
261#13094023C2311yescharacteristic
262#13094020—21no—
263#13094020—21no—
264#13094020C2311yescharacteristic
265#13094019—21no—
266#13094018—21no—
267#13094018—21no—
268#13094016C2311yescharacteristic
269#13094014—21no—
270#13094013C2311yescharacteristic
271#13094012—21no—
272#13094012—21no—
273#13094012C2311yescharacteristic
274#13094011—21no—
275#13094011—21no—
276#13094011C2311yescharacteristic
277#13094010—21no—
278#13094010—21no—
279#13094009—21no—
280#13094009—21no—
281#13094009—21no—
282#13094009D411yescharacteristic
283#13094007—21no—
284#13094007—21no—
285#13094006—21no—
286#13094006—21no—
287#13094006—21no—
288#13094006D411yescharacteristic
289#13094005—21no—
290#13094005—21no—
291#13094005—21no—
292#13094005—21no—
293#13094004—21no—
294#13094004C2311yescharacteristic
295#13094003—21no—
296#13094003—21no—
297#13094003C2311yescharacteristic
298#13094002—21no—
299#13094002D411yescharacteristic
300#13094001—21no—
301#13094001—21no—
302#13094001D411yescharacteristic
303#13094000C2311yescharacteristic
304#13094000C2311yescharacteristic
305#13094000C2311yescharacteristic
306#13093999—21no—
307#13093999C2311yescharacteristic
308#13093999C2311yescharacteristic
309#13093998—21no—
310#13093998—21no—
311#13093998C2311yescharacteristic
312#13093998C2311yescharacteristic
313#13093998C2311yescharacteristic
314#13093997—21no—
315#13093997—21no—
316#13093997—21no—
317#13093997—21no—
318#13093997—21no—
319#13093997D411yescharacteristic
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#13093996D411yescharacteristic
334#13093995—21no—
335#13093995—21no—
336#13093995—21no—
337#13093995—21no—
338#13093995—21no—
339#13093995—21no—
340#13093995C2311yescharacteristic
341#13093995C2311yescharacteristic
342#13093995C2311yescharacteristic
343#13093995C2311yescharacteristic
344#13093995C2311yescharacteristic
345#13093995C2311yescharacteristic
346#13093994—21no—
347#13093994—21no—
348#13093994D411yescharacteristic
349#13093992—21no—
350#13093992—21no—
351#13093992—21no—
352#13093992—21no—
353#13093992—21no—
354#13093992—21no—
355#13093992—21no—
356#13093992—21no—
357#13093992—21no—
358#13093992—21no—
359#13093992—21no—
360#13093992—21no—
361#13093992—21no—
362#13093992D411yescharacteristic
363Q8×Dic47C2311yescharacteristic
364C4×D188—21no—
365C4×D188—21no—
366C4×D188C2311yescharacteristic
367C4×D188C2311yescharacteristic
368C4×D188C2311yescharacteristic
369D4×Dic47C2311yescharacteristic
370D4×Dic47C2311yescharacteristic
371#13093986—21no—
372#13093986C2311yescharacteristic
373C4×C22⋊D47—21no—
374C4×C22⋊D47—21no—
375C4×C22⋊D47—21no—
376C4×C22⋊D47—21no—
377C4×C22⋊D47C2311yescharacteristic
378C4×C22⋊D47C2311yescharacteristic
379(C22⋊D47)⋊C4—21no—
380#13093983C2311yescharacteristic
381#13093982C2311yescharacteristic
382#13093981—21no—
383#13093981—21no—
384#13093981C2311yescharacteristic
385#13093980—21no—
386C2×C4⋊Dic47C2311yescharacteristic
387C4⋊C4×D47—21no—
388C4⋊C4×D47C2311yescharacteristic
389C4⋊C4×D47C2311yescharacteristic
390C2×(C2×D47)⋊C4—21no—
391C2×(C2×D47)⋊C4—21no—
392C22⋊C4×D47—21no—
393C22⋊C4×D47—21no—
394C22⋊C4×D47—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#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093947C2311yescharacteristic
414#13093946C2311yescharacteristic
415#13093946C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
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
445C2×#41×C47C2311yescharacteristic
446C2×#41×C47C2311yescharacteristic
447C2×#41×C47C2311yescharacteristic
448C2×#41×C47C2311yescharacteristic
449#135×C47—42no—
450#135×C47—42no—
451C2×Q16×C47C2311yescharacteristic
452C2×SD16×C47C2311yescharacteristic
453C2×SD16×C47C2311yescharacteristic
454C2×SD16×C47C2311yescharacteristic
455C2×SD16×C47C2311yescharacteristic
456C2×D8×C47C2311yescharacteristic
457C2×D8×C47C2311yescharacteristic
458C2×D8×C47C2311yescharacteristic
459C2×D8×C47C2311yescharacteristic
460C22×C8×C47C2311yescharacteristic
461C22×C8×C47C2311yescharacteristic
462#127×C47—21no—
463#127×C47—21no—
464#127×C47C2311yescharacteristic
465#127×C47C2311yescharacteristic
466#121×C47—21no—
467#121×C47—21no—
468#121×C47—21no—
469#121×C47—21no—
470#121×C47C2311yescharacteristic
471#121×C47C2311yescharacteristic
472#121×C47C2311yescharacteristic
473#121×C47C2311yescharacteristic
474C4×Q8×C47C2311yescharacteristic
475C4×Q8×C47C2311yescharacteristic
476C4×D4×C47—21no—
477C4×D4×C47—21no—
478C4×D4×C47C2311yescharacteristic
479#107×C47C2311yescharacteristic
480C4⋊C8×C47C2311yescharacteristic
481#103×C47C2311yescharacteristic
482#103×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486#102×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489C4×C8×C47C2311yescharacteristic
490C23×D47—21no—
491C23×D47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C23×D47C2×D411yescharacteristic
497#41×C47—22no—
498#41×C47—22no—
499#41×C47—41no—
500#41×C47—41no—
501#41×C47—41no—
502#41×C47—41no—
503#41×C47—41no—
504#41×C47—41no—
505C2×Q8×C47C2411yescharacteristic
506C2×Q8×C47C2411yescharacteristic
507C2×D4×C47—21no—
508C2×D4×C47—21no—
509C2×D4×C47—21no—
510C2×D4×C47—21no—
511C2×D4×C47—21no—
512C2×D4×C47—21no—
513C2×D4×C47—21no—
514C2×D4×C47—21no—
515C2×D4×C47—21no—
516C2×D4×C47—21no—
517C2×D4×C47—21no—
518C2×D4×C47—21no—
519C2×D4×C47C2×D411yescharacteristic
520C2×D4×C47C2411yescharacteristic
521C2×D4×C47C2411yescharacteristic
522C2×D4×C47C2411yescharacteristic
523C2×D4×C47C2411yescharacteristic
524C22×C4×C47—21no—
525C22×C4×C47—21no—
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⋊D47C2×D411yescharacteristic
549C2×C22⋊D47C2×D411yescharacteristic
550C2×C22⋊D47C2×D411yescharacteristic
551C2×C22⋊D47C2×D411yescharacteristic
552C22×Dic47—21no—
553C22×Dic47—21no—
554C22×Dic47—21no—
555C22×Dic47—21no—
556C22×Dic47C2×D411yescharacteristic
557#10625354—22no—
558#10625354—22no—
559#10625354—22no—
560#10625354—41no—
561Q8×D47—22no—
562Q8×D47—41no—
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—41no—
574D4×D47—41no—
575D4×D47—41no—
576D4×D47—41no—
577D4×D47—44no—
578D4×D47—44no—
579D4×D47—44no—
580D4×D47—82no—
581D4×D47—82no—
582D4×D47—82no—
583D4×D47—82no—
584D4×D47—82no—
585#10625350—22no—
586#10625350—41no—
587#10625350—41no—
588#10625350—41no—
589#10625350—44no—
590#10625350—44no—
591C2×D188—21no—
592C2×D188—22no—
593C2×D188—21no—
594C2×D188—21no—
595C2×D188—21no—
596C2×D188—21no—
597C2×D188—41no—
598C2×D188—44no—
599C2×D188C2×D411yescharacteristic
600C2×D188C2×D411yescharacteristic
601C2×D188C2411yescharacteristic
602C2×D188C2411yescharacteristic
603C2×D188C2411yescharacteristic
604C2×C4×D47—21no—
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—41no—
614C2×C4×D47—41no—
615C2×C4×D47—44no—
616C2×C4×D47C2×D411yescharacteristic
617C2×C4×D47C2×D411yescharacteristic
618C2×C4×D47C2411yescharacteristic
619C2×C4×D47C2411yescharacteristic
620C2×C4×D47C2411yescharacteristic
621C2×Dic94—21no—
622C2×Dic94—21no—
623C2×Dic94C2×D411yescharacteristic
624C2×Dic94C2411yescharacteristic
625Q16×C47—22no—
626SD16×C47—22no—
627SD16×C47—22no—
628SD16×C47—41no—
629SD16×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×C47—21no—
641C4⋊C4×C47—21no—
642C4⋊C4×C47C2×D411yescharacteristic
643C4⋊C4×C47C2411yescharacteristic
644C4⋊C4×C47C2411yescharacteristic
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×C47—21no—
652C42×C47—21no—
653C42×C47C2411yescharacteristic
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⋊Dic47C2×D411yescharacteristic
667C22⋊Dic47C2×D411yescharacteristic
668#10625337—41no—
669#10625336—22no—
670#10625336—22no—
671#10625336—41no—
672#10625335—41no—
673#10625335—41no—
674#10625334—22no—
675#10625334—22no—
676#10625334—41no—
677#10625334—41no—
678#10625334—41no—
679#10625334—41no—
680(C2×D47)⋊C4—21no—
681(C2×D47)⋊C4—21no—
682(C2×D47)⋊C4—21no—
683(C2×D47)⋊C4—21no—
684(C2×D47)⋊C4—21no—
685(C2×D47)⋊C4—21no—
686(C2×D47)⋊C4—21no—
687(C2×D47)⋊C4—21no—
688(C2×D47)⋊C4—21no—
689(C2×D47)⋊C4—21no—
690(C2×D47)⋊C4—21no—
691(C2×D47)⋊C4—21no—
692(C2×D47)⋊C4—21no—
693(C2×D47)⋊C4—21no—
694(C2×D47)⋊C4—21no—
695(C2×D47)⋊C4—21no—
696(C2×D47)⋊C4—21no—
697(C2×D47)⋊C4C2×D411yescharacteristic
698(C2×D47)⋊C4C2×D411yescharacteristic
699(C2×D47)⋊C4C2×D411yescharacteristic
700(C2×D47)⋊C4C2×D411yescharacteristic
701(C2×D47)⋊C4C2×D411yescharacteristic
702(C2×D47)⋊C4C2×D411yescharacteristic
703C4⋊Dic47—21no—
704C4⋊Dic47—21no—
705C4⋊Dic47—21no—
706C4⋊Dic47C2×D411yescharacteristic
707C4⋊Dic47C2411yescharacteristic
708C4⋊Dic47C2411yescharacteristic
709C4⋊Dic47C2411yescharacteristic
710C4⋊Dic47C2411yescharacteristic
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4—21no—
714Dic47⋊C4—21no—
715Dic47⋊C4—21no—
716Dic47⋊C4—21no—
717Dic47⋊C4—21no—
718Dic47⋊C4—21no—
719Dic47⋊C4—21no—
720Dic47⋊C4C2×D411yescharacteristic
721Dic47⋊C4C2×D411yescharacteristic
722Dic47⋊C4C2×D411yescharacteristic
723Dic47⋊C4C2×D411yescharacteristic
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
734D376—22no—
735D376—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×C47C22×D411yescharacteristic
746C23×C47C22×D411yescharacteristic
747C22×D47—21no—
748C22×D47—22no—
749C22×D47—21no—
750C22×D47—21no—
751C22×D47—41no—
752C22×D47—41no—
753C22×D47—42no—
754C22×D47—42no—
755C22×D47—42no—
756C22×D47—42no—
757C22×D47—42no—
758C22×D47—42no—
759C22×D47—81no—
760C22×D47—81no—
761C22×D47—81no—
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×D47C22×D411yescharacteristic
772C22×D47C22×D411yescharacteristic
773C22×D47C22×D411yescharacteristic
774Q8×C47—21no—
775Q8×C47—21no—
776Q8×C47—21no—
777Q8×C47H(5,𝔽2)12yes—
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—41no—
787D4×C47—42no—
788D4×C47—42no—
789D4×C47—81no—
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×C47—81no—
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—21no—
806C2×C4×C47—21no—
807C2×C4×C47—42no—
808C2×C4×C47—42no—
809C2×C4×C47—81no—
810C2×C4×C47—81no—
811C2×C4×C47C22×D411yescharacteristic
812C2×C4×C47C22×D411yescharacteristic
813C2×C4×C47C22×D411yescharacteristic
814C2×C4×C47C22×D411yescharacteristic
815C2×C4×C47C2511yescharacteristic
816C22⋊D47—22no—
817C22⋊D47—41no—
818C22⋊D47—41no—
819C22⋊D47—41no—
820C22⋊D47—42no—
821C22⋊D47—42no—
822C22⋊D47—42no—
823C22⋊D47—42no—
824C22⋊D47—42no—
825C22⋊D47—42no—
826C22⋊D47—42no—
827C22⋊D47—81no—
828C22⋊D47—81no—
829C22⋊D47—81no—
830C22⋊D47—81no—
831C22⋊D47—81no—
832C22⋊D47—81no—
833C22⋊D47—81no—
834C22⋊D47—81no—
835C22⋊D47—81no—
836C22⋊D47—81no—
837C22⋊D47—81no—
838C2×Dic47—21no—
839C2×Dic47—21no—
840C2×Dic47—21no—
841C2×Dic47—21no—
842C2×Dic47—21no—
843C2×Dic47—41no—
844C2×Dic47—42no—
845C2×Dic47—81no—
846C2×Dic47—81no—
847C2×Dic47—81no—
848C2×Dic47C22×D411yescharacteristic
849C2×Dic47C22×D411yescharacteristic
850C2×Dic47C22×D411yescharacteristic
851C2×Dic47C22×D411yescharacteristic
852C2×Dic47C22×D411yescharacteristic
853D188—24no—
854D188—22no—
855D188—21no—
856D188—21no—
857D188—21no—
858D188—21no—
859D188—21no—
860D188—41no—
861D188—42no—
862D188—42no—
863D188—42no—
864D188—81no—
865D188H(5,𝔽2)12yes—
866C4×D47—24no—
867C4×D47—21no—
868C4×D47—21no—
869C4×D47—21no—
870C4×D47—21no—
871C4×D47—21no—
872C4×D47—21no—
873C4×D47—41no—
874C4×D47—41no—
875C4×D47—42no—
876C4×D47—42no—
877C4×D47—42no—
878C4×D47—42no—
879C4×D47—81no—
880C4×D47—81no—
881C4×D47—81no—
882C4×D47—81no—
883Dic94—21no—
884Dic94—21no—
885Dic94—41no—
886Dic94—42no—
887Dic94—81no—
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—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×C47C23×D411yescharacteristic
916C2×D47—21no—
917C2×D47—21no—
918C2×D47—21no—
919C2×D47—21no—
920C2×D47—21no—
921C2×D47—22no—
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—82no—
934C2×D47—84no—
935C2×D47—162no—
936C2×D47—162no—
937C2×D47—162no—
938C2×D47—162no—
939C2×D47—162no—
940C2×D47#57612yes—
941C4×C47—21no—
942C4×C47—22no—
943C4×C47—21no—
944C4×C47—21no—
945C4×C47—21no—
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—21no—
954Dic47—21no—
955Dic47—21no—
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#3287D4711yescharacteristic, complemented
972#3282—471no—
973#3280—471no—
974D4×D8—471no—
975#3268—471no—
976#3268—471no—
977#3265—471no—
978#3264—471no—
979#3224—471no—
980#3220—471no—
981#3203—471no—
982#3198—471no—
983#3188—471no—
984#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—41no—
993C2×C47—41no—
994C2×C47—81no—
995C2×C47—81no—
996C2×C47—81no—
997C2×C47—81no—
998C2×C47#348411yescharacteristic
999C2×C47C2×#57611yescharacteristic
1000C2×C47#358411yescharacteristic
1001D47—22no—
1002D47—41no—
1003D47—41no—
1004D47—42no—
1005D47—81no—
1006D47—81no—
1007C2×H(5,𝔽2)—471no—
1008C22×#41—471no—
1009C2×AGL(1,ℤ/8)—471no—
1010C2×AGL(1,ℤ/8)—471no—
1011C2×#135—471no—
1012C2×#135C2×D4711yescharacteristic, complemented
1013C2×#135C2×D4711yescharacteristic, complemented
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#550C2×D4711yescharacteristic, complemented
1025#550C2×D4711yescharacteristic, complemented
1026#548—471no—
1027#548—471no—
1028#547—471no—
1029#546—471no—
1030#546—471no—
1031#546—471no—
1032#546—471no—
1033#546—941no—
1034#546—941no—
1035#546—941no—
1036D42—471no—
1037D42—471no—
1038D42—471no—
1039D42—941no—
1040D42—941no—
1041#542—471no—
1042#540—471no—
1043#540—941no—
1044#538—941no—
1045#537—471no—
1046#537—471no—
1047#537—941no—
1048#535—471no—
1049#535—471no—
1050#535—941no—
1051#535—941no—
1052#534—941no—
1053#525—471no—
1054#525—471no—
1055#525—941no—
1056C2×#121—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#460C2×D4711yescharacteristic, complemented
1107#460C2×D4711yescharacteristic, complemented
1108#459—471no—
1109#459—471no—
1110#459—471no—
1111#459—471no—
1112#452—471no—
1113#452—471no—
1114#452—471no—
1115#452—471no—
1116#451—471no—
1117#450—471no—
1118#450—471no—
1119#450—471no—
1120#450—471no—
1121#449—471no—
1122#449—471no—
1123#449—471no—
1124#449—471no—
1125#449—471no—
1126#449—471no—
1127#449—471no—
1128#449—471no—
1129#449—471no—
1130#449—471no—
1131#449—471no—
1132#449—471no—
1133#449C2×D4711yescharacteristic, complemented
1134#449C2×D4711yescharacteristic, complemented
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#447—471no—
1148#442—471no—
1149#440—471no—
1150#440—471no—
1151#440—471no—
1152C4×Q16C2×D4711yescharacteristic, complemented
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×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—941no—
1187C2×#41—941no—
1188C2×#41—941no—
1189C2×#41—941no—
1190C2×#41—1882no—
1191C2×#41—1882no—
1192C2×#41C22×D4711yescharacteristic
1193C2×#41C22×D4711yescharacteristic
1194C2×#41C22×D4711yescharacteristic
1195C2×#41C22×D4711yescharacteristic
1196C22×Q8—471no—
1197C22×D4—471no—
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×D4—941no—
1212C23×C4—471no—
1213C23×C4—941no—
1214AGL(1,ℤ/8)—1882no—
1215AGL(1,ℤ/8)—1882no—
1216#135—42no—
1217#135—42no—
1218#135—1882no—
1219C2×Q16—471no—
1220C2×Q16C22×D4711yescharacteristic
1221C2×SD16—471no—
1222C2×SD16—471no—
1223C2×SD16—471no—
1224C2×SD16—471no—
1225C2×SD16—471no—
1226C2×SD16—471no—
1227C2×SD16—1882no—
1228C2×SD16C22×D4711yescharacteristic
1229C2×SD16C22×D4711yescharacteristic
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—1882no—
1241C2×D8—1882no—
1242C2×D8C22×D4711yescharacteristic
1243C2×D8C22×D4711yescharacteristic
1244C2×D8C22×D4711yescharacteristic
1245C2×D8C22×D4711yescharacteristic
1246C2×M16—471no—
1247C2×M16—471no—
1248C22×C8—471no—
1249C22×C8—471no—
1250C22×C8—471no—
1251C22×C8—471no—
1252C22×C8C22×D4711yescharacteristic
1253C22×C8C22×D4711yescharacteristic
1254C4⋊Q8—471no—
1255#127—21no—
1256#127—21no—
1257#127—471no—
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—21no—
1306#121—21no—
1307#121—471no—
1308#121—471no—
1309#121—471no—
1310#121—471no—
1311#121—471no—
1312#121—471no—
1313#121—471no—
1314#121—471no—
1315#121—471no—
1316#121—471no—
1317#121—471no—
1318#121—471no—
1319#121—471no—
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—471no—
1352#120—471no—
1353#120—941no—
1354#120—941no—
1355#120—941no—
1356#120—941no—
1357#120—941no—
1358#120—941no—
1359#120—941no—
1360#120—941no—
1361#120—941no—
1362#120—941no—
1363#120—941no—
1364#120—941no—
1365#120—941no—
1366#120—941no—
1367#120—941no—
1368C4×Q8—471no—
1369C4×Q8C22×D4711yescharacteristic
1370C4×Q8C22×D4711yescharacteristic
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—941no—
1382C4×D4—941no—
1383C4×D4—941no—
1384C4×D4—941no—
1385C4×D4—941no—
1386C4×D4—941no—
1387C4×D4—941no—
1388C4×D4—941no—
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#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#102—471no—
1445#102—471no—
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—471no—
1467C24—941no—
1468C24—941no—
1469C24—941no—
1470C24—941no—
1471C24—941no—
1472C24—941no—
1473#41—22no—
1474#41—22no—
1475#41—41no—
1476#41—41no—
1477#41—41no—
1478#41—41no—
1479#41—41no—
1480#41—41no—
1481#41—942no—
1482#41—942no—
1483#41—942no—
1484#41—942no—
1485#41—3762no—
1486#41—1881no—
1487#41—1881no—
1488#41—1881no—
1489#41—1884no—
1490#41—1884no—
1491#41—1881no—
1492#41—1881no—
1493#41—1884no—
1494#41—1881no—
1495C2×Q8—471no—
1496C2×Q8—471no—
1497C2×Q8—941no—
1498C2×Q8—941no—
1499C2×Q8—942no—
1500C2×Q8—1881no—
1501C2×Q8C23×D4711yescharacteristic
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—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
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—942no—
1525C2×D4—941no—
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—942no—
1537C2×D4—942no—
1538C2×D4—941no—
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—3762no—
1551C2×D4—3762no—
1552C2×D4—3762no—
1553C2×D4—3762no—
1554C2×D4—3762no—
1555C2×D4—1881no—
1556C2×D4—1884no—
1557C2×D4—1881no—
1558C2×D4—1881no—
1559C2×D4—1881no—
1560C2×D4—1881no—
1561C2×D4—1881no—
1562C2×D4—1881no—
1563C2×D4—1881no—
1564C2×D4—1881no—
1565C2×D4—1884no—
1566C2×D4—1884no—
1567C2×D4—1884no—
1568C2×D4D4×D4711yescharacteristic
1569C2×D4C23×D4711yescharacteristic
1570C2×D4C23×D4711yescharacteristic
1571C2×D4C23×D4711yescharacteristic
1572C2×D4C23×D4711yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—471no—
1578C22×C4—471no—
1579C22×C4—471no—
1580C22×C4—471no—
1581C22×C4—471no—
1582C22×C4—471no—
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—22no—
1602Q16—1881no—
1603SD16—22no—
1604SD16—22no—
1605SD16—41no—
1606SD16—41no—
1607SD16—942no—
1608SD16—942no—
1609SD16—1881no—
1610SD16—1881no—
1611SD16—1881no—
1612SD16—1881no—
1613D8—41no—
1614D8—41no—
1615D8—41no—
1616D8—41no—
1617D8—942no—
1618D8—942no—
1619D8—942no—
1620D8—1881no—
1621D8—1881no—
1622D8—1881no—
1623D8—1881no—
1624D8—1881no—
1625M16—1881no—
1626M16—1881no—
1627C2×C8—41no—
1628C2×C8—41no—
1629C2×C8—471no—
1630C2×C8—471no—
1631C2×C8—471no—
1632C2×C8—471no—
1633C2×C8—1881no—
1634C2×C8—1881no—
1635C2×C8—1881no—
1636C2×C8—1881no—
1637C2×C8C23×D4711yescharacteristic
1638C2×C8C23×D4711yescharacteristic
1639C2×C8C23×D4711yescharacteristic
1640C2×C8C23×D4711yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—471no—
1644C4⋊C4—471no—
1645C4⋊C4—471no—
1646C4⋊C4—471no—
1647C4⋊C4—471no—
1648C4⋊C4—471no—
1649C4⋊C4—471no—
1650C4⋊C4—471no—
1651C4⋊C4—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⋊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—471no—
1672C22⋊C4—471no—
1673C22⋊C4—471no—
1674C22⋊C4—471no—
1675C22⋊C4—471no—
1676C22⋊C4—471no—
1677C22⋊C4—471no—
1678C22⋊C4—471no—
1679C22⋊C4—941no—
1680C22⋊C4—941no—
1681C22⋊C4—941no—
1682C22⋊C4—941no—
1683C22⋊C4—941no—
1684C22⋊C4—941no—
1685C22⋊C4—941no—
1686C22⋊C4—941no—
1687C22⋊C4—941no—
1688C22⋊C4—941no—
1689C22⋊C4—941no—
1690C22⋊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—21no—
1711C42—21no—
1712C42—471no—
1713C42—941no—
1714C42—941no—
1715C42—941no—
1716C42C23×D4711yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—471no—
1722C23—471no—
1723C23—471no—
1724C23—942no—
1725C23—941no—
1726C23—941no—
1727C23—941no—
1728C23—3761no—
1729C23—3761no—
1730C23—3761no—
1731C23—3761no—
1732C23—3761no—
1733C23—3761no—
1734C23—3761no—
1735C23—3761no—
1736C23—3761no—
1737C23—3761no—
1738C23—3761no—
1739C23—3761no—
1740C23—1881no—
1741C23—1881no—
1742C23—1882no—
1743C23—1882no—
1744C23—1882no—
1745C23—1882no—
1746C23—1882no—
1747C23—1882no—
1748C23C2×D4×D4711yescharacteristic
1749C23C2×D4×D4711yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—941no—
1754Q8—941no—
1755Q8—3761no—
1756Q8—1881no—
1757Q8—1882no—
1758Q8#1309406912yes—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—41no—
1768D4—42no—
1769D4—42no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—81no—
1779D4—81no—
1780D4—472no—
1781D4—942no—
1782D4—944no—
1783D4—942no—
1784D4—941no—
1785D4—941no—
1786D4—941no—
1787D4—941no—
1788D4—941no—
1789D4—3761no—
1790D4—3761no—
1791D4—3761no—
1792D4—3761no—
1793D4—3761no—
1794D4—3761no—
1795D4—3761no—
1796D4—3761no—
1797D4—3761no—
1798D4—3761no—
1799D4—3761no—
1800D4—3761no—
1801D4—1881no—
1802D4—1882no—
1803D4—1882no—
1804D4—1882no—
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—42no—
1824C2×C4—42no—
1825C2×C4—81no—
1826C2×C4—81no—
1827C2×C4—471no—
1828C2×C4—471no—
1829C2×C4—471no—
1830C2×C4—471no—
1831C2×C4—471no—
1832C2×C4—944no—
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—941no—
1843C2×C4—941no—
1844C2×C4—3761no—
1845C2×C4—3761no—
1846C2×C4—3761no—
1847C2×C4—3761no—
1848C2×C4—3761no—
1849C2×C4—3761no—
1850C2×C4—3761no—
1851C2×C4—1881no—
1852C2×C4—1881no—
1853C2×C4—1882no—
1854C2×C4—1882no—
1855C2×C4—1882no—
1856C2×C4—1882no—
1857C2×C4—1881no—
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—21no—
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—472no—
1891C22—941no—
1892C22—941no—
1893C22—941no—
1894C22—941no—
1895C22—941no—
1896C22—941no—
1897C22—942no—
1898C22—941no—
1899C22—941no—
1900C22—3762no—
1901C22—3764no—
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—7522no—
1915C22C22×D4×D4711yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—22no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—941no—
1925C4—941no—
1926C4—941no—
1927C4—941no—
1928C4—941no—
1929C4—1881no—
1930C4—1881no—
1931C4—1881no—
1932C4—1881no—
1933C4—1881no—
1934C4H(5,𝔽2)×D4711yescharacteristic
1935C4C2×#1309406911yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—81no—
1939C2—81no—
1940C2—81no—
1941C2—81no—
1942C2—942no—
1943C2—3761no—
1944C2—3761no—
1945C2—1881no—
1946C2—1881no—
1947C2—1882no—
1948C2#2025701611yescharacteristic
1949C2#576×D4711yescharacteristic
1950C2#2025815711yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3287C2
socleC22×C47C23×D4
hypercenter#3287D47
hypocenterC47#61639
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3287

Complements

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

NH ≅ G/Ntype
1. #20257694C2semidirect
2. #20257056C2semidirect
3. #20255550C2semidirect
4. #20255416C2semidirect
5. #20255394C2semidirect
6. #20255372C2semidirect
7. #20255331C2semidirect
8. #20255280C2semidirect
9. #20255240C2semidirect
10. #20255196C2semidirect
11. #20255089C2semidirect
12. #20255071C2semidirect
13. #20255063C2semidirect
14. #20254929C2semidirect
15. #20254928C2semidirect
16. #20254878C2semidirect
17. #20254871C2semidirect
18. #20254487C2semidirect
19. #20254431C2semidirect
20. #20254287C2semidirect
21. #20254233C2semidirect
22. #20254151C2semidirect
23. #20254135C2semidirect
24. #20253656C2semidirect
25. #20253586C2semidirect
26. #20252688C2semidirect
27. #20252653C2semidirect
28. #20252602C2semidirect
29. #449×D47C2semidirect
30. #20252441C2semidirect
31. C47×#3287C2semidirect
32. C2×#13094070C22semidirect
33. C2×#41×D47C22semidirect
34. C2×#13094051C22semidirect
35. C2×#13094049C22semidirect
36. C2×#13094044C22semidirect
37. C2×SD16×D47C22semidirect
38. C2×D8×D47C22semidirect
39. C2×D8×D47C22semidirect
42. #15689837C22semidirect
43. #15689819C22semidirect
44. #15689814C22semidirect
46. #15689792C22semidirect
48. #15689780C22semidirect
49. #15689773C22semidirect
51. #15689770C22semidirect
53. #15689769C22semidirect
55. #15689761C22semidirect
56. #15689761C22semidirect
59. #15689758C22semidirect
61. #15689757C22semidirect
62. #15689745C22semidirect
63. #15689727C22semidirect
67. #15689702C22semidirect
68. #15689701C22semidirect
69. #15689689C22semidirect
72. #15689686C22semidirect
76. #15689630C22semidirect
78. #121×D47C22semidirect
79. #121×D47C22semidirect
80. #15689605C22semidirect
81. #15689510C22semidirect
82. #15689509C22semidirect
83. #15689504C22semidirect
84. #15689487C22semidirect
85. #15689481C22semidirect
86. #15689478C22semidirect
87. #15689468C22semidirect
88. #15689466C22semidirect
89. #15689459C22semidirect
90. #15689457C22semidirect
91. #15689448C22semidirect
92. #15689446C22semidirect
93. #15689444C22semidirect
94. #15689440C22semidirect
95. #15689438C22semidirect
96. #15689438C22semidirect
97. #15689435C22semidirect
98. #15689435C22semidirect
99. #15689434C22semidirect
100. #15689430C22semidirect
101. #15689424C22semidirect
102. #15689416C22semidirect
103. #15689402C22semidirect
104. #15689374C22semidirect
105. #15689368C22semidirect
106. #15689367C22semidirect
107. #15689366C22semidirect
108. #15689363C22semidirect
109. #15689359C22semidirect
110. #15689358C22semidirect
111. #15689357C22semidirect
112. #15689357C22semidirect
113. #15689356C22semidirect
114. #15689356C22semidirect
115. #15689355C22semidirect
116. #15689352C22semidirect
117. #15689349C22semidirect
118. #15689347C22semidirect
119. #15689345C22semidirect
120. #15689341C22semidirect
121. #15689339C22semidirect
122. #15689336C22semidirect
123. #15689336C22semidirect
124. #15689316C22semidirect
125. #15689316C22semidirect
126. #15689315C22semidirect
127. #15689315C22semidirect
128. #15689285C22semidirect
129. #15689284C22semidirect
130. #15689284C22semidirect
131. #15689282C22semidirect
132. #15689277C22semidirect
133. #15689275C22semidirect
134. #15689272C22semidirect
135. #15689272C22semidirect
136. #15689272C22semidirect
138. #15689270C22semidirect
139. #15689269C22semidirect
140. #15689268C22semidirect
141. #15689268C22semidirect
142. #15689268C22semidirect
143. #15689267C22semidirect
144. #15689267C22semidirect
145. #15689267C22semidirect
146. #15689266C22semidirect
147. #15689265C22semidirect
148. #15689265C22semidirect
149. #15689260C22semidirect
150. #15689259C22semidirect
151. #15689258C22semidirect
152. #15689258C22semidirect
153. #15689256C22semidirect
154. #15689255C22semidirect
155. #15689255C22semidirect
156. #15689255C22semidirect
157. #15689255C22semidirect
158. #15689255C22semidirect
159. #15689255C22semidirect
160. #15689232C22semidirect
161. #15689224C22semidirect
162. #15689221C22semidirect
163. #15689221C22semidirect
164. SD16×Dic47C22semidirect
165. C4×D376C22semidirect
166. #15689203C22semidirect
167. #15689197C22semidirect
168. #15689195C22semidirect
169. #15689194C22semidirect
170. #15689193C22semidirect
171. C8×D188C22semidirect
172. C8×C22⋊D47C22semidirect
173. (C22⋊D47)⋊C8C22semidirect
174. #15689183C22semidirect
175. #15689182C22semidirect
176. #15689126C22semidirect
177. #15689124C22semidirect
178. #15689120C22semidirect
179. #15689119C22semidirect
180. #15689118C22semidirect
181. #103×D47C22semidirect
182. C2×#13093946C22semidirect
183. #102×D47C22semidirect
184. #15689089C22semidirect
185. #15689088C22semidirect
186. C2×(C2×D47)⋊C8C22semidirect
187. C22⋊C8×D47C22semidirect
188. C2×#135×C47C22semidirect
189. C2×#135×C47C22semidirect
190. C47×#550C22semidirect
191. C47×#550C22semidirect
192. C47×#493C22semidirect
193. C47×#466C22semidirect
194. C47×#466C22semidirect
195. C47×#460C22semidirect
196. C47×#460C22semidirect
197. C47×#449C22semidirect
198. C47×#449C22semidirect
199. C47×#449C22semidirect
200. C47×#449C22semidirect
201. C4×Q16×C47C22semidirect
202. C8×D4×C47C22semidirect
971. #3287D47semidirect
1012. C2×#135C2×D47semidirect
1013. C2×#135C2×D47semidirect
1024. #550C2×D47semidirect
1025. #550C2×D47semidirect
1063. #493C2×D47semidirect
1095. #466C2×D47semidirect
1096. #466C2×D47semidirect
1106. #460C2×D47semidirect
1107. #460C2×D47semidirect
1133. #449C2×D47semidirect
1134. #449C2×D47semidirect
1135. #449C2×D47semidirect
1136. #449C2×D47semidirect
1152. C4×Q16C2×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
#202576942
#202570562
#202555502
#202554162
#202553942
#202553722
#202553312
#202552802
#202552402
#202551962
#202550892
#202550712
#202550632
#202549292
#202549282
#202548782
#202548712
#202544872
#202544312
#202542872
#202542332
#202541512
#202541352
#202536562
#202535862
#202526882
#202526532
#202526022
#449×D472
#202524412
C47×#32872
#6163947