Finite Group Databasebeta

← #27103235

Subgroups — #27103235

Order 12032.

2160 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#20257804C211yesmaximal, characteristic, complemented
2#20257160C211yesmaximal, characteristic, complemented
3#20255529C211yesmaximal, characteristic, complemented
4#20255522C211yesmaximal, characteristic, complemented
5#20255521C211yesmaximal, characteristic, complemented
6#20255509C211yesmaximal, characteristic, complemented
7#20255414C211yesmaximal, characteristic, complemented
8#20255413C211yesmaximal, characteristic, complemented
9#20255400C211yesmaximal, characteristic, complemented
10#20255396C211yesmaximal, characteristic, complemented
11#20254976C211yesmaximal, characteristic, complemented
12#20254974C211yesmaximal, characteristic, complemented
13#20254932C211yesmaximal, characteristic, complemented
14#20254927C211yesmaximal, characteristic, complemented
15#20254883C211yesmaximal, characteristic, complemented
16#20254874C211yesmaximal, characteristic, complemented
17#20254862C211yesmaximal, characteristic, complemented
18#20254410C211yesmaximal, characteristic, complemented
19#20254402C211yesmaximal, characteristic, complemented
20#20254258C211yesmaximal, characteristic, complemented
21#20254248C211yesmaximal, characteristic, complemented
22#20254241C211yesmaximal, characteristic, complemented
23#20254237C211yesmaximal, characteristic, complemented
24#20253501C211yesmaximal, characteristic, complemented
25#20253494C211yesmaximal, characteristic, complemented
26#20252693C211yesmaximal, characteristic, complemented
27#20252691C211yesmaximal, characteristic, complemented
28#20252661C211yesmaximal, characteristic, complemented
29#20252651C211yesmaximal, characteristic, complemented
30#20252456C211yesmaximal, characteristic, complemented
31C47×#3265C211yesmaximal, characteristic, complemented
32C2×#13094069C2211yescharacteristic
33C2×#13094069C2211yescharacteristic, complemented
34C2×#13094055C2211yescharacteristic, complemented
35C2×#13094051C2211yescharacteristic, complemented
36C2×#13094048C2211yescharacteristic, complemented
37C2×#13094045C2211yescharacteristic, complemented
38C2×#13094044C2211yescharacteristic, complemented
39C2×D8×D47C2211yescharacteristic, complemented
40#15689874—21no—
41#15689861—21no—
42#15689835—21no—
43#15689820C2211yescharacteristic, complemented
44#15689819C2211yescharacteristic, complemented
45#15689815C2211yescharacteristic, complemented
46#15689814C2211yescharacteristic, complemented
47#15689802—21no—
48#15689794C2211yescharacteristic, complemented
49#15689793C2211yescharacteristic
50#15689791C2211yescharacteristic
51#15689791C2211yescharacteristic, complemented
52#15689784C2211yescharacteristic, complemented
53#15689766C2211yescharacteristic, complemented
54#15689761C2211yescharacteristic, complemented
55D4×D188C2211yescharacteristic
56#15689757—21no—
57D4×C22⋊D47—21no—
58D4×C22⋊D47C2211yescharacteristic
59D4×C22⋊D47C2211yescharacteristic, complemented
60#15689755—21no—
61#15689755—21no—
62#15689724—21no—
63#15689723—21no—
64#15689713—21no—
65#15689707—21no—
66#15689703C2211yescharacteristic, complemented
67#15689701C2211yescharacteristic, complemented
68#15689697C2211yescharacteristic, complemented
69#15689689C2211yescharacteristic
70#15689689C2211yescharacteristic, complemented
71#15689689C2211yescharacteristic, complemented
72#15689688—21no—
73#15689688—21no—
74#15689670C2211yescharacteristic
75#15689668—21no—
76C2×#13094020—21no—
77#127×D47C2211yescharacteristic, complemented
78#15689660C2211yescharacteristic, complemented
79#15689652C2211yescharacteristic, complemented
80C4×#10625352C2211yescharacteristic, complemented
81#15689513C2211yescharacteristic, complemented
82#15689509C2211yescharacteristic, complemented
83#15689509C2211yescharacteristic, complemented
84#15689488C2211yescharacteristic, complemented
85#15689487C2211yescharacteristic, complemented
86#15689486C2211yescharacteristic, complemented
87#15689486C2211yescharacteristic, complemented
88#15689463C2211yescharacteristic, complemented
89#15689462C2211yescharacteristic, complemented
90#15689450C2211yescharacteristic, complemented
91#15689450C2211yescharacteristic, complemented
92#15689448C2211yescharacteristic, complemented
93#15689445C2211yescharacteristic, complemented
94#15689445C2211yescharacteristic, complemented
95#15689444C2211yescharacteristic, complemented
96#15689440C2211yescharacteristic, complemented
97#15689439C2211yescharacteristic, complemented
98#15689438C2211yescharacteristic, complemented
99#15689437C2211yescharacteristic, complemented
100#15689431C2211yescharacteristic, complemented
101#15689429C2211yescharacteristic, complemented
102#15689423C2211yescharacteristic, complemented
103#15689421C2211yescharacteristic, complemented
104#15689376C2211yescharacteristic, complemented
105#15689375C2211yescharacteristic, complemented
106#15689374C2211yescharacteristic, complemented
107#15689374C2211yescharacteristic, complemented
108#15689372C2211yescharacteristic, complemented
109#15689366C2211yescharacteristic, complemented
110#15689366C2211yescharacteristic, complemented
111#15689359C2211yescharacteristic, complemented
112#15689357C2211yescharacteristic, complemented
113#15689356C2211yescharacteristic, complemented
114#15689355C2211yescharacteristic, complemented
115#15689355C2211yescharacteristic, complemented
116#15689354C2211yescharacteristic, complemented
117#15689349C2211yescharacteristic, complemented
118#15689348C2211yescharacteristic, complemented
119#15689342C2211yescharacteristic, complemented
120#15689340C2211yescharacteristic, complemented
121#15689323C2211yescharacteristic, complemented
122#15689321C2211yescharacteristic, complemented
123#15689321C2211yescharacteristic, complemented
124#15689319C2211yescharacteristic, complemented
125#15689316C2211yescharacteristic, complemented
126#15689316C2211yescharacteristic, complemented
127#15689315C2211yescharacteristic, complemented
128#15689283C2211yescharacteristic, complemented
129#15689282C2211yescharacteristic, complemented
130#15689282C2211yescharacteristic, complemented
131#15689282C2211yescharacteristic, complemented
132#15689282C2211yescharacteristic, complemented
133#15689282C2211yescharacteristic, complemented
134#15689272C2211yescharacteristic, complemented
135#15689272C2211yescharacteristic, complemented
136#15689272C2211yescharacteristic, complemented
137#15689272C2211yescharacteristic, complemented
138#15689272C2211yescharacteristic, complemented
139#15689272C2211yescharacteristic, complemented
140#15689272C2211yescharacteristic, complemented
141#15689271C2211yescharacteristic, complemented
142#15689270C2211yescharacteristic, complemented
143#15689270C2211yescharacteristic, complemented
144#15689269C2211yescharacteristic
145#15689268C2211yescharacteristic, complemented
146#15689267C2211yescharacteristic, complemented
147#15689266C2211yescharacteristic, complemented
148#15689265C2211yescharacteristic
149#15689265C2211yescharacteristic, complemented
150#15689262C2211yescharacteristic, complemented
151#15689258C2211yescharacteristic, complemented
152#15689258C2211yescharacteristic, complemented
153#15689258C2211yescharacteristic, complemented
154#15689257C2211yescharacteristic, complemented
155#15689257C2211yescharacteristic, complemented
156#15689255C2211yescharacteristic, complemented
157#15689255C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689235C2211yescharacteristic, complemented
161#15689233C2211yescharacteristic, complemented
162#15689228C2211yescharacteristic, complemented
163#15689227C2211yescharacteristic, complemented
164#15689225C2211yescharacteristic, complemented
165#15689224C2211yescharacteristic, complemented
166#15689220C2211yescharacteristic, complemented
167#15689197C2211yescharacteristic, complemented
168#15689196C2211yescharacteristic, complemented
169#15689195C2211yescharacteristic, complemented
170#15689194C2211yescharacteristic, complemented
171#15689193C2211yescharacteristic, complemented
172#15689192C2211yescharacteristic, complemented
173#15689191C2211yescharacteristic, complemented
174#15689179C2211yescharacteristic, complemented
175#15689178C2211yescharacteristic, complemented
176#15689128C2211yescharacteristic, complemented
177#15689126C2211yescharacteristic, complemented
178#15689125C2211yescharacteristic, complemented
179#15689121C2211yescharacteristic, complemented
180#15689120C2211yescharacteristic, complemented
181#15689116C2211yescharacteristic, complemented
182C2×#13093945C2211yescharacteristic, complemented
183#102×D47C2211yescharacteristic, complemented
184#15689091C2211yescharacteristic, complemented
185#15689089C2211yescharacteristic, complemented
186#15689088C2211yescharacteristic, complemented
187#15689088C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
189C22×SD16×C47C2211yescharacteristic, complemented
190C47×#548C2211yescharacteristic, complemented
191D42×C47C2211yescharacteristic, complemented
192C47×#496C2211yescharacteristic, complemented
193C47×#468C2211yescharacteristic, complemented
194C47×#466C2211yescharacteristic, complemented
195C47×#463C2211yescharacteristic, complemented
196C47×#460C2211yescharacteristic, complemented
197C47×#450C2211yescharacteristic, complemented
198C47×#449C2211yescharacteristic, complemented
199C47×#448C2211yescharacteristic, complemented
200C47×#447C2211yescharacteristic, complemented
201C47×#440C2211yescharacteristic, complemented
202C47×#435C2211yescharacteristic, complemented
203#13094069—42no—
204#13094069—42no—
205#13094069—42no—
206#13094069—42no—
207C2×#10625354C2311yescharacteristic
208C2×#10625350C2311yescharacteristic
209C2×#10625350C2311yescharacteristic
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625352—21no—
213C2×#10625352—21no—
214C2×#10625352C2311yescharacteristic
215C2×#10625352C2311yescharacteristic
216C2×#10625352C2311yescharacteristic
217C22×D188—21no—
218C22×C22⋊D47—21no—
219C22×C22⋊D47—21no—
220C22×C22⋊D47—21no—
221C22×C22⋊D47—21no—
222C22×C22⋊D47—21no—
223C22×C22⋊D47—21no—
224C2×D4×D47—21no—
225C2×D4×D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47—21no—
228C2×D4×D47C2311yescharacteristic
229C2×D4×D47C2311yescharacteristic
230C2×D4×D47C2311yescharacteristic
231C2×D4×D47C2311yescharacteristic
232C2×D4×D47C2311yescharacteristic
233#13094055—42no—
234#13094051—42no—
235#13094048—42no—
236#13094045—42no—
237#13094044—42no—
238C2×#10625337C2311yescharacteristic
239C2×#10625337C2311yescharacteristic
240C2×#10625325C2311yescharacteristic
241C2×#10625335C2311yescharacteristic
242C2×#10625336C2311yescharacteristic
243C2×#10625336C2311yescharacteristic
244C2×#10625336C2311yescharacteristic
245C2×#10625336C2311yescharacteristic
246C2×D376C2311yescharacteristic
247C2×D376C2311yescharacteristic
248C2×#10625334C2311yescharacteristic
249C2×#10625334C2311yescharacteristic
250C2×#10625334C2311yescharacteristic
251C2×#10625334C2311yescharacteristic
252C2×#10625334C2311yescharacteristic
253D8×D47—42no—
254C2×#10625329C2311yescharacteristic
255C2×#10625324C2311yescharacteristic
256C2×#10625324C2311yescharacteristic
257C22×C47⋊C8C2311yescharacteristic
258C2×C8×D47C2311yescharacteristic
259C2×C8×D47C2311yescharacteristic
260#13094023D411yescharacteristic
261#13094022—21no—
262#13094021C2311yescharacteristic
263#13094020—21no—
264#13094020—21no—
265#13094020—21no—
266#13094020—21no—
267#13094020—21no—
268#13094020—21no—
269#13094020—21no—
270#13094020—21no—
271#13094020—21no—
272#13094020D411yescharacteristic
273#13094020C2311yescharacteristic
274#13094020C2311yescharacteristic
275#13094019—21no—
276#13094019—21no—
277#13094019—21no—
278#13094018—21no—
279#13094017—21no—
280#13094017—21no—
281#13094016C2311yescharacteristic
282#13094015—21no—
283#13094015C2311yescharacteristic
284#13094014—21no—
285#13094013—21no—
286#13094013—21no—
287#13094013C2311yescharacteristic
288#13094010—21no—
289#13094010—21no—
290#13094010—21no—
291#13094010D411yescharacteristic
292#13094010D411yescharacteristic
293#13094009—21no—
294#13094009—21no—
295#13094008—21no—
296#13094007—21no—
297#13094007—21no—
298#13094007—21no—
299#13094006—21no—
300#13094006—21no—
301#13094006—21no—
302#13094005—21no—
303#13094003—21no—
304#13094002—21no—
305#13094000—21no—
306#13094000C2311yescharacteristic
307#13094000C2311yescharacteristic
308#13094000C2311yescharacteristic
309#13094000C2311yescharacteristic
310#13094000C2311yescharacteristic
311#13093999—21no—
312#13093999D411yescharacteristic
313#13093999C2311yescharacteristic
314#13093999C2311yescharacteristic
315#13093999C2311yescharacteristic
316#13093998—21no—
317#13093998—21no—
318#13093998—21no—
319#13093998C2311yescharacteristic
320#13093998C2311yescharacteristic
321#13093998C2311yescharacteristic
322#13093998C2311yescharacteristic
323#13093997—21no—
324#13093997—21no—
325#13093997—21no—
326#13093997—21no—
327#13093997—21no—
328#13093997—21no—
329#13093997—21no—
330#13093997D411yescharacteristic
331#13093997D411yescharacteristic
332#13093996—21no—
333#13093996—21no—
334#13093996—21no—
335#13093996—21no—
336#13093996—21no—
337#13093996—21no—
338#13093996—21no—
339#13093996—21no—
340#13093996—21no—
341#13093996—21no—
342#13093995—21no—
343#13093995D411yescharacteristic
344#13093995C2311yescharacteristic
345#13093995C2311yescharacteristic
346#13093995C2311yescharacteristic
347#13093995C2311yescharacteristic
348#13093994—21no—
349#13093994—21no—
350#13093994—21no—
351#13093994—21no—
352#13093994—21no—
353#13093994—21no—
354#13093993—21no—
355#13093993—21no—
356#13093992—21no—
357#13093992—21no—
358#13093992—21no—
359#13093992—21no—
360#13093992—21no—
361#13093992—21no—
362Q8×Dic47C2311yescharacteristic
363C4×Dic94C2311yescharacteristic
364#13093989C2311yescharacteristic
365C4×D188—21no—
366C4×D188C2311yescharacteristic
367C4×D188C2311yescharacteristic
368D4×Dic47—21no—
369D4×Dic47C2311yescharacteristic
370D4×Dic47C2311yescharacteristic
371#13093986—21no—
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(C22⋊D47)⋊C4—21no—
381(C22⋊D47)⋊C4—21no—
382#13093983C2311yescharacteristic
383#13093982C2311yescharacteristic
384#13093982C2311yescharacteristic
385#13093981—21no—
386#13093981—21no—
387#13093980—21no—
388#13093980—21no—
389#13093980—21no—
390C2×C4⋊Dic47C2311yescharacteristic
391C4⋊C4×D47C2311yescharacteristic
392C2×(C2×D47)⋊C4—21no—
393C22⋊C4×D47—21no—
394C2×C4×Dic47—21no—
395C42×D47C2311yescharacteristic
396#13093958C2311yescharacteristic
397#13093958C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093956C2311yescharacteristic
400#13093955C2311yescharacteristic
401#13093955C2311yescharacteristic
402#13093955C2311yescharacteristic
403C4⋊(C47⋊C8)C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093947C2311yescharacteristic
412#13093946C2311yescharacteristic
413#13093946C2311yescharacteristic
414#13093946C2311yescharacteristic
415#13093946C2311yescharacteristic
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#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
444#13093934C2311yescharacteristic
445C2×#41×C47C2311yescharacteristic
446C22×Q8×C47C2311yescharacteristic
447C22×D4×C47—21no—
448C22×D4×C47C2311yescharacteristic
449C22×D4×C47C2311yescharacteristic
450AGL(1,ℤ/8)×C47—42no—
451C2×SD16×C47—42no—
452C2×SD16×C47C2311yescharacteristic
453C2×SD16×C47C2311yescharacteristic
454C2×SD16×C47C2311yescharacteristic
455C2×SD16×C47C2311yescharacteristic
456C2×SD16×C47C2311yescharacteristic
457C2×SD16×C47C2311yescharacteristic
458C2×D8×C47C2311yescharacteristic
459C2×D8×C47C2311yescharacteristic
460C2×D8×C47C2311yescharacteristic
461C2×M16×C47C2311yescharacteristic
462C22×C8×C47C2311yescharacteristic
463#127×C47C2311yescharacteristic
464#124×C47—21no—
465#124×C47C2311yescharacteristic
466C22⋊Q8×C47—21no—
467C22⋊Q8×C47C2311yescharacteristic
468#121×C47—21no—
469#121×C47—21no—
470#121×C47C2311yescharacteristic
471#121×C47C2311yescharacteristic
472#121×C47C2311yescharacteristic
473#120×C47—21no—
474#120×C47—21no—
475C4×Q8×C47C2311yescharacteristic
476C4×D4×C47—21no—
477C4×D4×C47C2311yescharacteristic
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
489#97×C47C2311yescharacteristic
490C24×C47—21no—
491C24×C47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C23×D47—21no—
497#41×C47—41no—
498#41×C47—41no—
499C2×Q8×C47—21no—
500C2×Q8×C47—41no—
501C2×Q8×C47—41no—
502C2×Q8×C47C2411yescharacteristic
503C2×Q8×C47C2411yescharacteristic
504C2×D4×C47—22no—
505C2×D4×C47—22no—
506C2×D4×C47—21no—
507C2×D4×C47—21no—
508C2×D4×C47—21no—
509C2×D4×C47—21no—
510C2×D4×C47—21no—
511C2×D4×C47—21no—
512C2×D4×C47—21no—
513C2×D4×C47—21no—
514C2×D4×C47—41no—
515C2×D4×C47—41no—
516C2×D4×C47—82no—
517C2×D4×C47C2×D411yescharacteristic
518C2×D4×C47C2411yescharacteristic
519C2×D4×C47C2411yescharacteristic
520C2×D4×C47C2411yescharacteristic
521C2×D4×C47C2411yescharacteristic
522C22×C4×C47—21no—
523C22×C4×C47—21no—
524C22×C4×C47—21no—
525C22×C4×C47C2411yescharacteristic
526C22×C4×C47C2411yescharacteristic
527C2×C22⋊D47—21no—
528C2×C22⋊D47—21no—
529C2×C22⋊D47—21no—
530C2×C22⋊D47—21no—
531C2×C22⋊D47—21no—
532C2×C22⋊D47—21no—
533C2×C22⋊D47—21no—
534C2×C22⋊D47—21no—
535C2×C22⋊D47—21no—
536C2×C22⋊D47—21no—
537C2×C22⋊D47—21no—
538C2×C22⋊D47—21no—
539C2×C22⋊D47—21no—
540C2×C22⋊D47—21no—
541C2×C22⋊D47—21no—
542C2×C22⋊D47—21no—
543C2×C22⋊D47—21no—
544C2×C22⋊D47—21no—
545C2×C22⋊D47—21no—
546C2×C22⋊D47—21no—
547C2×C22⋊D47—21no—
548C2×C22⋊D47—21no—
549C2×C22⋊D47—44no—
550C2×C22⋊D47—44no—
551C2×C22⋊D47—44no—
552C2×C22⋊D47—44no—
553C2×C22⋊D47—82no—
554C2×C22⋊D47—82no—
555C2×C22⋊D47C2×D411yescharacteristic
556C2×C22⋊D47C2×D411yescharacteristic
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—
567#10625354—41no—
568#10625354—41no—
569#10625352—22no—
570#10625352—22no—
571#10625352—22no—
572#10625352—22no—
573#10625352—41no—
574#10625352—41no—
575#10625352—44no—
576#10625352—44no—
577D4×D47—22no—
578D4×D47—22no—
579D4×D47—41no—
580D4×D47—41no—
581D4×D47—41no—
582D4×D47—41no—
583D4×D47—41no—
584D4×D47—41no—
585D4×D47—41no—
586D4×D47—41no—
587D4×D47—44no—
588D4×D47—44no—
589D4×D47—82no—
590D4×D47—82no—
591#10625350—22no—
592#10625350—22no—
593#10625350—41no—
594#10625350—41no—
595#10625350—41no—
596#10625350—41no—
597#10625350—41no—
598#10625350—41no—
599C2×D188—21no—
600C2×D188—21no—
601C2×D188—21no—
602C2×D188—21no—
603C2×D188—21no—
604C2×D188—21no—
605C2×D188—82no—
606C2×D188C2×D411yescharacteristic
607C2×D188C2×D411yescharacteristic
608C2×D188C2×D411yescharacteristic
609C2×D188C2411yescharacteristic
610C2×D188C2411yescharacteristic
611C2×D188C2411yescharacteristic
612C2×C4×D47—21no—
613C2×C4×D47—21no—
614C2×C4×D47—21no—
615C2×C4×D47—21no—
616C2×C4×D47—21no—
617C2×C4×D47C2×D411yescharacteristic
618C2×C4×D47C2×D411yescharacteristic
619C2×C4×D47C2411yescharacteristic
620C2×C4×D47C2411yescharacteristic
621C2×C4×D47C2411yescharacteristic
622C2×Dic94C2×D411yescharacteristic
623C2×Dic94C2×D411yescharacteristic
624C2×Dic94C2411yescharacteristic
625SD16×C47—22no—
626SD16×C47—22no—
627SD16×C47—41no—
628SD16×C47—41no—
629SD16×C47—41no—
630SD16×C47—41no—
631D8×C47—22no—
632D8×C47—41no—
633D8×C47—41no—
634M16×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×C47—21no—
650C22⋊C4×C47—21no—
651C22⋊C4×C47—21no—
652C22⋊C4×C47C2×D411yescharacteristic
653C22⋊C4×C47C2×D411yescharacteristic
654C42×C47—21no—
655C42×C47C2411yescharacteristic
656C22⋊Dic47—21no—
657C22⋊Dic47—21no—
658C22⋊Dic47—21no—
659C22⋊Dic47—21no—
660C22⋊Dic47—21no—
661C22⋊Dic47—21no—
662C22⋊Dic47—21no—
663C22⋊Dic47C2×D411yescharacteristic
664C22⋊Dic47C2×D411yescharacteristic
665#10625337—22no—
666#10625337—22no—
667#10625336—41no—
668#10625336—41no—
669#10625336—41no—
670#10625336—41no—
671#10625335—22no—
672#10625334—22no—
673#10625334—41no—
674#10625334—41no—
675#10625334—41no—
676#10625334—41no—
677(C2×D47)⋊C4—21no—
678(C2×D47)⋊C4—21no—
679(C2×D47)⋊C4—21no—
680(C2×D47)⋊C4—21no—
681(C2×D47)⋊C4—21no—
682(C2×D47)⋊C4—21no—
683(C2×D47)⋊C4—21no—
684(C2×D47)⋊C4—21no—
685(C2×D47)⋊C4—21no—
686(C2×D47)⋊C4—21no—
687(C2×D47)⋊C4—21no—
688(C2×D47)⋊C4—21no—
689(C2×D47)⋊C4—21no—
690(C2×D47)⋊C4—21no—
691(C2×D47)⋊C4—21no—
692(C2×D47)⋊C4—21no—
693(C2×D47)⋊C4—21no—
694(C2×D47)⋊C4C2×D411yescharacteristic
695(C2×D47)⋊C4C2×D411yescharacteristic
696(C2×D47)⋊C4C2×D411yescharacteristic
697(C2×D47)⋊C4C2×D411yescharacteristic
698C4⋊Dic47—21no—
699C4⋊Dic47—21no—
700C4⋊Dic47—21no—
701C4⋊Dic47C2×D411yescharacteristic
702C4⋊Dic47C2411yescharacteristic
703C4⋊Dic47C2411yescharacteristic
704C4⋊Dic47C2411yescharacteristic
705C4⋊Dic47C2411yescharacteristic
706Dic47⋊C4—21no—
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⋊C4C2×D411yescharacteristic
718Dic47⋊C4C2×D411yescharacteristic
719C4×Dic47—21no—
720C4×Dic47—21no—
721C4×Dic47—21no—
722C4×Dic47—21no—
723C4×Dic47—21no—
724C4×Dic47—21no—
725C4×Dic47C2×D411yescharacteristic
726C4×Dic47C2×D411yescharacteristic
727C4×Dic47C2411yescharacteristic
728#10625329—41no—
729C2×C47⋊C8—41no—
730C2×C47⋊C8C2411yescharacteristic
731C2×C47⋊C8C2411yescharacteristic
732C2×C47⋊C8C2411yescharacteristic
733C2×C47⋊C8C2411yescharacteristic
734D376—41no—
735D376—41no—
736#10625325—22no—
737#10625324—41no—
738#10625324—41no—
739C8×D47—41no—
740C8×D47—41no—
741C23×C47—21no—
742C23×C47—21no—
743C23×C47—21no—
744C23×C47—21no—
745C23×C47—42no—
746C23×C47—42no—
747C23×C47—81no—
748C23×C47—81no—
749C23×C47—81no—
750C23×C47—81no—
751C23×C47C22×D411yescharacteristic
752C23×C47C22×D411yescharacteristic
753C22×D47—21no—
754C22×D47—21no—
755C22×D47—21no—
756C22×D47—42no—
757C22×D47—42no—
758C22×D47—42no—
759C22×D47—42no—
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×C47—21no—
778Q8×C47—81no—
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—42no—
790D4×C47—81no—
791D4×C47—81no—
792D4×C47—81no—
793D4×C47—81no—
794D4×C47—81no—
795D4×C47H(5,𝔽2)12yes—
796C2×C4×C47—21no—
797C2×C4×C47—21no—
798C2×C4×C47—21no—
799C2×C4×C47—21no—
800C2×C4×C47—21no—
801C2×C4×C47—21no—
802C2×C4×C47—21no—
803C2×C4×C47—21no—
804C2×C4×C47—42no—
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—41no—
814C22⋊D47—41no—
815C22⋊D47—41no—
816C22⋊D47—41no—
817C22⋊D47—41no—
818C22⋊D47—41no—
819C22⋊D47—42no—
820C22⋊D47—42no—
821C22⋊D47—42no—
822C22⋊D47—42no—
823C22⋊D47—42no—
824C22⋊D47—42no—
825C22⋊D47—42no—
826C22⋊D47—42no—
827C22⋊D47—42no—
828C22⋊D47—42no—
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—
838C22⋊D47—81no—
839C22⋊D47—81no—
840C2×Dic47—24no—
841C2×Dic47—21no—
842C2×Dic47—21no—
843C2×Dic47—21no—
844C2×Dic47—21no—
845C2×Dic47—21no—
846C2×Dic47—42no—
847C2×Dic47—42no—
848C2×Dic47—42no—
849C2×Dic47—81no—
850C2×Dic47—81no—
851C2×Dic47C22×D411yescharacteristic
852C2×Dic47C22×D411yescharacteristic
853C2×Dic47C22×D411yescharacteristic
854C2×Dic47C22×D411yescharacteristic
855C2×Dic47C22×D411yescharacteristic
856D188—21no—
857D188—21no—
858D188—21no—
859D188—21no—
860D188—21no—
861D188—21no—
862D188—41no—
863D188—41no—
864D188—41no—
865D188—42no—
866D188—81no—
867D188—81no—
868D188—81no—
869D188—81no—
870D188—81no—
871C4×D47—21no—
872C4×D47—21no—
873C4×D47—21no—
874C4×D47—21no—
875C4×D47—21no—
876C4×D47—21no—
877C4×D47—41no—
878C4×D47—41no—
879C4×D47—42no—
880C4×D47—42no—
881C4×D47—81no—
882C4×D47—81no—
883C4×D47—81no—
884Dic94—21no—
885Dic94—41no—
886Dic94—41no—
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#61675—471nomaximal, Sylow
897C22×C47—21no—
898C22×C47—21no—
899C22×C47—21no—
900C22×C47—21no—
901C22×C47—22no—
902C22×C47—21no—
903C22×C47—21no—
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—162no—
916C22×C47—162no—
917C22×C47C23×D411yescharacteristic
918C2×D47—21no—
919C2×D47—21no—
920C2×D47—21no—
921C2×D47—21no—
922C2×D47—21no—
923C2×D47—21no—
924C2×D47—21no—
925C2×D47—21no—
926C2×D47—21no—
927C2×D47—41no—
928C2×D47—41no—
929C2×D47—41no—
930C2×D47—41no—
931C2×D47—41no—
932C2×D47—41no—
933C2×D47—41no—
934C2×D47—41no—
935C2×D47—41no—
936C2×D47—162no—
937C2×D47—162no—
938C2×D47—162no—
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×C47—41no—
948C4×C47—41no—
949C4×C47C2×H(5,𝔽2)11yescharacteristic
950C4×C47C2×H(5,𝔽2)11yescharacteristic
951Dic47—21no—
952Dic47—21no—
953Dic47—22no—
954Dic47—21no—
955Dic47—21no—
956Dic47—21no—
957Dic47—41no—
958Dic47—41no—
959Dic47—41no—
960Dic47—41no—
961#3551—471no—
962#3498—471no—
963#3318—471no—
964#3318—471no—
965#3317—471no—
966#3317—471no—
967#3310—471no—
968#3310—471no—
969#3309—471no—
970#3309—471no—
971#3271—471no—
972#3271—471no—
973#3268—471no—
974#3268—471no—
975#3265—471no—
976#3265D4711yescharacteristic, complemented
977#3264—471no—
978#3264—471no—
979#3217—471no—
980#3217—471no—
981#3200—471no—
982#3199—471no—
983#3198—471no—
984#3198—471no—
985#3111—471no—
986#3111—471no—
987#3012—471no—
988#3012—471no—
989#3009—471no—
990#3008—471no—
991#2980—471no—
992C2×C47—42no—
993C2×C47—41no—
994C2×C47—41no—
995C2×C47—81no—
996C2×C47—81no—
997C2×C47—81no—
998C2×C47#348411yescharacteristic
999C2×C47#358511yescharacteristic
1000C2×C47#358511yescharacteristic
1001D47—41no—
1002D47—41no—
1003D47—41no—
1004D47—81no—
1005D47—81no—
1006D47—81no—
1007C2×H(5,𝔽2)—471no—
1008C2×H(5,𝔽2)—471no—
1009C2×#137—471no—
1010C2×AGL(1,ℤ/8)—471no—
1011C2×AGL(1,ℤ/8)—471no—
1012C2×AGL(1,ℤ/8)C2×D4711yescharacteristic, complemented
1013C2×#135—471no—
1014C2×#135—471no—
1015C22×SD16C2×D4711yescharacteristic, complemented
1016C22×D8—471no—
1017#563—941no—
1018#560—941no—
1019#555—941no—
1020#553—471no—
1021#553—471no—
1022#552—471no—
1023#552—471no—
1024#551—941no—
1025#550—471no—
1026#550—471no—
1027#550—471no—
1028#550—471no—
1029#548—471no—
1030#548C2×D4711yescharacteristic, complemented
1031#546—471no—
1032#546—471no—
1033D42—471no—
1034D42—471no—
1035D42—471no—
1036D42—941no—
1037D42—941no—
1038D42—941no—
1039D42—941no—
1040D42C2×D4711yescharacteristic, complemented
1041#540—941no—
1042#540—941no—
1043#538—941no—
1044#538—941no—
1045#537—471no—
1046#537—471no—
1047#536—471no—
1048#535—471no—
1049#535—471no—
1050#535—471no—
1051#535—941no—
1052#535—941no—
1053#532—471no—
1054#532—941no—
1055C2×#127—471no—
1056C2×#127—941no—
1057#529—471no—
1058#529—471no—
1059C4×#41—471no—
1060#496—471no—
1061#496—471no—
1062#496—471no—
1063#496C2×D4711yescharacteristic, complemented
1064#490—471no—
1065#490—471no—
1066#490—471no—
1067#490—471no—
1068#485—471no—
1069#485—471no—
1070#482—471no—
1071#482—471no—
1072#482—471no—
1073#482—471no—
1074#482—471no—
1075#482—471no—
1076#481—471no—
1077#481—471no—
1078#480—471no—
1079#480—471no—
1080#479—471no—
1081#479—471no—
1082#478—471no—
1083#478—471no—
1084#469—471no—
1085#469—471no—
1086#469—471no—
1087#469—471no—
1088#468—471no—
1089#468—471no—
1090#468—471no—
1091#468C2×D4711yescharacteristic, complemented
1092#466—471no—
1093#466—471no—
1094#466—471no—
1095#466C2×D4711yescharacteristic, complemented
1096#465—471no—
1097#465—471no—
1098#465—471no—
1099#465—471no—
1100#464—471no—
1101#464—471no—
1102#463—471no—
1103#463C2×D4711yescharacteristic, complemented
1104#460—471no—
1105#460—471no—
1106#460—471no—
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#452—471no—
1117#452—471no—
1118#450—471no—
1119#450—471no—
1120#450—471no—
1121#450—471no—
1122#450—471no—
1123#450—471no—
1124#450—471no—
1125#450C2×D4711yescharacteristic, complemented
1126#449—471no—
1127#449—471no—
1128#449—471no—
1129#449—471no—
1130#449—471no—
1131#449—471no—
1132#449—471no—
1133#449—471no—
1134#449—471no—
1135#449C2×D4711yescharacteristic, complemented
1136#448—471no—
1137#448C2×D4711yescharacteristic, complemented
1138#447—471no—
1139#447—471no—
1140#447—471no—
1141#447—471no—
1142#447—471no—
1143#447—471no—
1144#447—471no—
1145#447—471no—
1146#447—471no—
1147#447C2×D4711yescharacteristic, complemented
1148#442—471no—
1149#442—471no—
1150#441—471no—
1151#441—471no—
1152#440—471no—
1153#440—471no—
1154#440—471no—
1155#440C2×D4711yescharacteristic, complemented
1156#435—471no—
1157#435—471no—
1158#435—471no—
1159#435—471no—
1160#435—471no—
1161#435—471no—
1162#435—471no—
1163#435C2×D4711yescharacteristic, complemented
1164#432—471no—
1165#432—471no—
1166#418—471no—
1167#418—471no—
1168#417—471no—
1169#417—471no—
1170#416—471no—
1171#416—471no—
1172C2×#102—471no—
1173C2×#102—471no—
1174#408—471no—
1175#408—471no—
1176#408—471no—
1177#408—471no—
1178C47#6167511yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—1882no—
1180H(5,𝔽2)—1882no—
1181H(5,𝔽2)—1882no—
1182H(5,𝔽2)—1882no—
1183C2×#41—471no—
1184C2×#41—471no—
1185C2×#41—471no—
1186C2×#41—471no—
1187C2×#41—471no—
1188C2×#41—471no—
1189C2×#41—471no—
1190C2×#41—471no—
1191C2×#41—941no—
1192C2×#41—941no—
1193C2×#41C22×D4711yescharacteristic
1194C22×Q8C22×D4711yescharacteristic
1195C22×D4—21no—
1196C22×D4—471no—
1197C22×D4—471no—
1198C22×D4—471no—
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×D4—941no—
1209C22×D4—941no—
1210C22×D4—941no—
1211C22×D4—941no—
1212C22×D4C22×D4711yescharacteristic
1213C22×D4C22×D4711yescharacteristic
1214#137—1882no—
1215AGL(1,ℤ/8)—42no—
1216AGL(1,ℤ/8)—1882no—
1217AGL(1,ℤ/8)—1882no—
1218#135—1882no—
1219#135—1882no—
1220C2×Q16—471no—
1221C2×Q16—471no—
1222C2×SD16—42no—
1223C2×SD16—471no—
1224C2×SD16—471no—
1225C2×SD16—471no—
1226C2×SD16—471no—
1227C2×SD16—471no—
1228C2×SD16—471no—
1229C2×SD16C22×D4711yescharacteristic
1230C2×SD16C22×D4711yescharacteristic
1231C2×SD16C22×D4711yescharacteristic
1232C2×SD16C22×D4711yescharacteristic
1233C2×SD16C22×D4711yescharacteristic
1234C2×SD16C22×D4711yescharacteristic
1235C2×D8—471no—
1236C2×D8—471no—
1237C2×D8—471no—
1238C2×D8—471no—
1239C2×D8—471no—
1240C2×D8—471no—
1241C2×D8—471no—
1242C2×D8—1882no—
1243C2×D8C22×D4711yescharacteristic
1244C2×D8C22×D4711yescharacteristic
1245C2×D8C22×D4711yescharacteristic
1246C2×M16—471no—
1247C2×M16—471no—
1248C2×M16—471no—
1249C2×M16C22×D4711yescharacteristic
1250C22×C8—471no—
1251C22×C8—471no—
1252C22×C8—471no—
1253C22×C8C22×D4711yescharacteristic
1254C4⋊Q8—471no—
1255C4⋊Q8—941no—
1256#127—471no—
1257#127—471no—
1258#127—471no—
1259#127—471no—
1260#127—941no—
1261#127—941no—
1262#127—941no—
1263#127—941no—
1264#127—941no—
1265#127—941no—
1266#127—941no—
1267#127—941no—
1268#127—941no—
1269#127C22×D4711yescharacteristic
1270#126—941no—
1271#126—941no—
1272#126—941no—
1273#126—941no—
1274#126—941no—
1275#126—941no—
1276#125—471no—
1277#125—471no—
1278#125—941no—
1279#125—941no—
1280#124—21no—
1281#124—471no—
1282#124—471no—
1283#124—471no—
1284#124—941no—
1285#124—941no—
1286#124—941no—
1287#124—941no—
1288#124—941no—
1289#124C22×D4711yescharacteristic
1290#123—941no—
1291#123—941no—
1292#123—941no—
1293#123—941no—
1294#123—941no—
1295#123—941no—
1296#123—941no—
1297#123—941no—
1298#123—941no—
1299#123—941no—
1300C22⋊Q8—21no—
1301C22⋊Q8—471no—
1302C22⋊Q8—471no—
1303C22⋊Q8—471no—
1304C22⋊Q8—471no—
1305C22⋊Q8—471no—
1306C22⋊Q8—941no—
1307C22⋊Q8—941no—
1308C22⋊Q8—941no—
1309C22⋊Q8C22×D4711yescharacteristic
1310#121—21no—
1311#121—21no—
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—471no—
1321#121—471no—
1322#121—471no—
1323#121—471no—
1324#121—471no—
1325#121—471no—
1326#121—471no—
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#121—941no—
1348#121—941no—
1349#121C22×D4711yescharacteristic
1350#121C22×D4711yescharacteristic
1351#121C22×D4711yescharacteristic
1352#120—21no—
1353#120—21no—
1354#120—941no—
1355#120—941no—
1356#120—941no—
1357#120—941no—
1358#120—941no—
1359#120—941no—
1360#120—941no—
1361#120—941no—
1362#120—941no—
1363#120—941no—
1364#120—941no—
1365#120—941no—
1366#120—941no—
1367#120—941no—
1368C4×Q8—471no—
1369C4×Q8—471no—
1370C4×Q8—471no—
1371C4×Q8C22×D4711yescharacteristic
1372C4×D4—21no—
1373C4×D4—471no—
1374C4×D4—471no—
1375C4×D4—471no—
1376C4×D4—471no—
1377C4×D4—471no—
1378C4×D4—471no—
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×D4—941no—
1388C4×D4—941no—
1389C4×D4—941no—
1390C4×D4C22×D4711yescharacteristic
1391C4×D4C22×D4711yescharacteristic
1392#117—471no—
1393#117—471no—
1394#117—471no—
1395#117—941no—
1396#117—941no—
1397#117—941no—
1398#117—941no—
1399#117—941no—
1400C2×C4⋊C4—471no—
1401C2×C4⋊C4—471no—
1402C2×C22⋊C4—941no—
1403C2×C22⋊C4—941no—
1404C2×C42—471no—
1405C2×C42—941no—
1406#107—471no—
1407#107—471no—
1408#107—471no—
1409#107C22×D4711yescharacteristic
1410#106—471no—
1411#106—471no—
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#103C22×D4711yescharacteristic
1425#103C22×D4711yescharacteristic
1426#102—471no—
1427#102—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#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—
1464#97—471no—
1465#97C22×D4711yescharacteristic
1466C24—21no—
1467C24—21no—
1468C24—941no—
1469C24—941no—
1470C24—941no—
1471C24—941no—
1472C24—941no—
1473#41—41no—
1474#41—41no—
1475#41—942no—
1476#41—942no—
1477#41—942no—
1478#41—942no—
1479#41—942no—
1480#41—942no—
1481#41—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—1884no—
1492#41—1884no—
1493C2×Q8—21no—
1494C2×Q8—41no—
1495C2×Q8—41no—
1496C2×Q8—471no—
1497C2×Q8—471no—
1498C2×Q8—471no—
1499C2×Q8C23×D4711yescharacteristic
1500C2×Q8C23×D4711yescharacteristic
1501C2×D4—22no—
1502C2×D4—22no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—41no—
1512C2×D4—41no—
1513C2×D4—82no—
1514C2×D4—471no—
1515C2×D4—471no—
1516C2×D4—471no—
1517C2×D4—471no—
1518C2×D4—471no—
1519C2×D4—471no—
1520C2×D4—471no—
1521C2×D4—471no—
1522C2×D4—471no—
1523C2×D4—471no—
1524C2×D4—471no—
1525C2×D4—471no—
1526C2×D4—941no—
1527C2×D4—941no—
1528C2×D4—941no—
1529C2×D4—941no—
1530C2×D4—941no—
1531C2×D4—941no—
1532C2×D4—941no—
1533C2×D4—941no—
1534C2×D4—941no—
1535C2×D4—941no—
1536C2×D4—941no—
1537C2×D4—941no—
1538C2×D4—941no—
1539C2×D4—941no—
1540C2×D4—942no—
1541C2×D4—942no—
1542C2×D4—941no—
1543C2×D4—941no—
1544C2×D4—941no—
1545C2×D4—941no—
1546C2×D4—941no—
1547C2×D4—941no—
1548C2×D4—941no—
1549C2×D4—941no—
1550C2×D4—941no—
1551C2×D4—941no—
1552C2×D4—941no—
1553C2×D4—941no—
1554C2×D4—941no—
1555C2×D4—941no—
1556C2×D4—3762no—
1557C2×D4—3762no—
1558C2×D4—3762no—
1559C2×D4—3762no—
1560C2×D4—3762no—
1561C2×D4—1881no—
1562C2×D4—1881no—
1563C2×D4—1881no—
1564C2×D4—1881no—
1565C2×D4—1881no—
1566C2×D4—1881no—
1567C2×D4—1881no—
1568C2×D4—1881no—
1569C2×D4—1884no—
1570C2×D4—1884no—
1571C2×D4—1884no—
1572C2×D4—1884no—
1573C2×D4—1884no—
1574C2×D4—1884no—
1575C2×D4D4×D4711yescharacteristic
1576C2×D4C23×D4711yescharacteristic
1577C2×D4C23×D4711yescharacteristic
1578C2×D4C23×D4711yescharacteristic
1579C2×D4C23×D4711yescharacteristic
1580C22×C4—21no—
1581C22×C4—21no—
1582C22×C4—21no—
1583C22×C4—471no—
1584C22×C4—471no—
1585C22×C4—471no—
1586C22×C4—471no—
1587C22×C4—471no—
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—941no—
1597C22×C4—941no—
1598C22×C4—941no—
1599C22×C4C23×D4711yescharacteristic
1600C22×C4C23×D4711yescharacteristic
1601Q16—942no—
1602Q16—942no—
1603SD16—22no—
1604SD16—22no—
1605SD16—41no—
1606SD16—41no—
1607SD16—41no—
1608SD16—41no—
1609SD16—942no—
1610SD16—942no—
1611SD16—1881no—
1612SD16—1881no—
1613SD16—1881no—
1614SD16—1881no—
1615D8—22no—
1616D8—41no—
1617D8—41no—
1618D8—942no—
1619D8—1881no—
1620D8—1881no—
1621D8—1881no—
1622D8—1881no—
1623D8—1881no—
1624D8—1881no—
1625M16—41no—
1626M16—1881no—
1627M16—1881no—
1628M16—1881no—
1629C2×C8—41no—
1630C2×C8—471no—
1631C2×C8—471no—
1632C2×C8—471no—
1633C2×C8—471no—
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—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—21no—
1674C22⋊C4—471no—
1675C22⋊C4—471no—
1676C22⋊C4—471no—
1677C22⋊C4—471no—
1678C22⋊C4—471no—
1679C22⋊C4—471no—
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⋊C4D4×D4711yescharacteristic
1705C22⋊C4D4×D4711yescharacteristic
1706C42—21no—
1707C42—471no—
1708C42—471no—
1709C42—471no—
1710C42—941no—
1711C42—941no—
1712C42—941no—
1713C42—941no—
1714C42—941no—
1715C42—941no—
1716C42C23×D4711yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—42no—
1722C23—42no—
1723C23—81no—
1724C23—81no—
1725C23—81no—
1726C23—81no—
1727C23—471no—
1728C23—471no—
1729C23—471no—
1730C23—941no—
1731C23—941no—
1732C23—941no—
1733C23—3761no—
1734C23—3761no—
1735C23—3761no—
1736C23—3761no—
1737C23—3761no—
1738C23—3761no—
1739C23—3761no—
1740C23—3761no—
1741C23—3761no—
1742C23—3761no—
1743C23—3761no—
1744C23—1882no—
1745C23—1882no—
1746C23—1882no—
1747C23—1882no—
1748C23C2×D4×D4711yescharacteristic
1749C23C2×D4×D4711yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—81no—
1755Q8—472no—
1756Q8—941no—
1757Q8—1881no—
1758Q8—1881no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—41no—
1767D4—42no—
1768D4—42no—
1769D4—42no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—944no—
1776D4—941no—
1777D4—941no—
1778D4—941no—
1779D4—941no—
1780D4—941no—
1781D4—941no—
1782D4—3761no—
1783D4—3761no—
1784D4—3761no—
1785D4—3761no—
1786D4—3761no—
1787D4—3761no—
1788D4—3761no—
1789D4—3761no—
1790D4—3761no—
1791D4—3761no—
1792D4—3761no—
1793D4—3761no—
1794D4—3761no—
1795D4—3761no—
1796D4—3761no—
1797D4—3761no—
1798D4—1881no—
1799D4—1881no—
1800D4—1881no—
1801D4—1882no—
1802D4—1881no—
1803D4—1881no—
1804D4—1881no—
1805D4—1881no—
1806D4—1881no—
1807D4—1881no—
1808D4—1882no—
1809D4—1882no—
1810D4—1882no—
1811D4—1882no—
1812D4—1882no—
1813D4—1882no—
1814D4—1882no—
1815D4—1882no—
1816D4—1882no—
1817D4—1882no—
1818D4#1309406912yes—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—42no—
1828C2×C4—81no—
1829C2×C4—81no—
1830C2×C4—471no—
1831C2×C4—471no—
1832C2×C4—471no—
1833C2×C4—471no—
1834C2×C4—471no—
1835C2×C4—944no—
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—941no—
1845C2×C4—941no—
1846C2×C4—941no—
1847C2×C4—3761no—
1848C2×C4—3761no—
1849C2×C4—3761no—
1850C2×C4—3761no—
1851C2×C4—3761no—
1852C2×C4—1881no—
1853C2×C4—1881no—
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—21no—
1878C22—22no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—162no—
1891C22—162no—
1892C22—941no—
1893C22—941no—
1894C22—941no—
1895C22—941no—
1896C22—941no—
1897C22—941no—
1898C22—941no—
1899C22—941no—
1900C22—941no—
1901C22—1881no—
1902C22—1881no—
1903C22—1881no—
1904C22—1881no—
1905C22—1881no—
1906C22—1881no—
1907C22—1881no—
1908C22—1881no—
1909C22—1881no—
1910C22—7522no—
1911C22—7522no—
1912C22—7522no—
1913C22—7522no—
1914C22—7522no—
1915C22C22×D4×D4711yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—941no—
1925C4—941no—
1926C4—941no—
1927C4—941no—
1928C4—941no—
1929C4—942no—
1930C4—1881no—
1931C4—1881no—
1932C4—1881no—
1933C4—1881no—
1934C4H(5,𝔽2)×D4711yescharacteristic
1935C4C2×#1309406911yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—42no—
1939C2—81no—
1940C2—81no—
1941C2—81no—
1942C2—3761no—
1943C2—3761no—
1944C2—3761no—
1945C2—1881no—
1946C2—1881no—
1947C2—1881no—
1948C2#2025701611yescharacteristic
1949C2#2025816411yescharacteristic
1950C2#2025816611yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3265C2
socleC22×C47C23×D4
hypercenter#3265D47
hypocenterC47#61675
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #20257804C2semidirect
2. #20257160C2semidirect
3. #20255529C2semidirect
4. #20255522C2semidirect
5. #20255521C2semidirect
6. #20255509C2semidirect
7. #20255414C2semidirect
8. #20255413C2semidirect
9. #20255400C2semidirect
10. #20255396C2semidirect
11. #20254976C2semidirect
12. #20254974C2semidirect
13. #20254932C2semidirect
14. #20254927C2semidirect
15. #20254883C2semidirect
16. #20254874C2semidirect
17. #20254862C2semidirect
18. #20254410C2semidirect
19. #20254402C2semidirect
20. #20254258C2semidirect
21. #20254248C2semidirect
22. #20254241C2semidirect
23. #20254237C2semidirect
24. #20253501C2semidirect
25. #20253494C2semidirect
26. #20252693C2semidirect
27. #20252691C2semidirect
28. #20252661C2semidirect
29. #20252651C2semidirect
30. #20252456C2semidirect
31. C47×#3265C2semidirect
33. C2×#13094069C22semidirect
34. C2×#13094055C22semidirect
35. C2×#13094051C22semidirect
36. C2×#13094048C22semidirect
37. C2×#13094045C22semidirect
38. C2×#13094044C22semidirect
39. C2×D8×D47C22semidirect
43. #15689820C22semidirect
44. #15689819C22semidirect
45. #15689815C22semidirect
46. #15689814C22semidirect
48. #15689794C22semidirect
51. #15689791C22semidirect
52. #15689784C22semidirect
53. #15689766C22semidirect
54. #15689761C22semidirect
59. D4×C22⋊D47C22semidirect
66. #15689703C22semidirect
67. #15689701C22semidirect
68. #15689697C22semidirect
70. #15689689C22semidirect
71. #15689689C22semidirect
77. #127×D47C22semidirect
78. #15689660C22semidirect
79. #15689652C22semidirect
80. C4×#10625352C22semidirect
81. #15689513C22semidirect
82. #15689509C22semidirect
83. #15689509C22semidirect
84. #15689488C22semidirect
85. #15689487C22semidirect
86. #15689486C22semidirect
87. #15689486C22semidirect
88. #15689463C22semidirect
89. #15689462C22semidirect
90. #15689450C22semidirect
91. #15689450C22semidirect
92. #15689448C22semidirect
93. #15689445C22semidirect
94. #15689445C22semidirect
95. #15689444C22semidirect
96. #15689440C22semidirect
97. #15689439C22semidirect
98. #15689438C22semidirect
99. #15689437C22semidirect
100. #15689431C22semidirect
101. #15689429C22semidirect
102. #15689423C22semidirect
103. #15689421C22semidirect
104. #15689376C22semidirect
105. #15689375C22semidirect
106. #15689374C22semidirect
107. #15689374C22semidirect
108. #15689372C22semidirect
109. #15689366C22semidirect
110. #15689366C22semidirect
111. #15689359C22semidirect
112. #15689357C22semidirect
113. #15689356C22semidirect
114. #15689355C22semidirect
115. #15689355C22semidirect
116. #15689354C22semidirect
117. #15689349C22semidirect
118. #15689348C22semidirect
119. #15689342C22semidirect
120. #15689340C22semidirect
121. #15689323C22semidirect
122. #15689321C22semidirect
123. #15689321C22semidirect
124. #15689319C22semidirect
125. #15689316C22semidirect
126. #15689316C22semidirect
127. #15689315C22semidirect
128. #15689283C22semidirect
129. #15689282C22semidirect
130. #15689282C22semidirect
131. #15689282C22semidirect
132. #15689282C22semidirect
133. #15689282C22semidirect
134. #15689272C22semidirect
135. #15689272C22semidirect
136. #15689272C22semidirect
137. #15689272C22semidirect
138. #15689272C22semidirect
139. #15689272C22semidirect
140. #15689272C22semidirect
141. #15689271C22semidirect
142. #15689270C22semidirect
143. #15689270C22semidirect
145. #15689268C22semidirect
146. #15689267C22semidirect
147. #15689266C22semidirect
149. #15689265C22semidirect
150. #15689262C22semidirect
151. #15689258C22semidirect
152. #15689258C22semidirect
153. #15689258C22semidirect
154. #15689257C22semidirect
155. #15689257C22semidirect
156. #15689255C22semidirect
157. #15689255C22semidirect
158. #15689255C22semidirect
159. #15689255C22semidirect
160. #15689235C22semidirect
161. #15689233C22semidirect
162. #15689228C22semidirect
163. #15689227C22semidirect
164. #15689225C22semidirect
165. #15689224C22semidirect
166. #15689220C22semidirect
167. #15689197C22semidirect
168. #15689196C22semidirect
169. #15689195C22semidirect
170. #15689194C22semidirect
171. #15689193C22semidirect
172. #15689192C22semidirect
173. #15689191C22semidirect
174. #15689179C22semidirect
175. #15689178C22semidirect
176. #15689128C22semidirect
177. #15689126C22semidirect
178. #15689125C22semidirect
179. #15689121C22semidirect
180. #15689120C22semidirect
181. #15689116C22semidirect
182. C2×#13093945C22semidirect
183. #102×D47C22semidirect
184. #15689091C22semidirect
185. #15689089C22semidirect
186. #15689088C22semidirect
187. #15689088C22semidirect
188. C2×AGL(1,ℤ/8)×C47C22semidirect
189. C22×SD16×C47C22semidirect
190. C47×#548C22semidirect
191. D42×C47C22semidirect
192. C47×#496C22semidirect
193. C47×#468C22semidirect
194. C47×#466C22semidirect
195. C47×#463C22semidirect
196. C47×#460C22semidirect
197. C47×#450C22semidirect
198. C47×#449C22semidirect
199. C47×#448C22semidirect
200. C47×#447C22semidirect
201. C47×#440C22semidirect
202. C47×#435C22semidirect
976. #3265D47semidirect
1012. C2×AGL(1,ℤ/8)C2×D47semidirect
1015. C22×SD16C2×D47semidirect
1030. #548C2×D47semidirect
1040. D42C2×D47semidirect
1063. #496C2×D47semidirect
1091. #468C2×D47semidirect
1095. #466C2×D47semidirect
1103. #463C2×D47semidirect
1107. #460C2×D47semidirect
1125. #450C2×D47semidirect
1135. #449C2×D47semidirect
1137. #448C2×D47semidirect
1147. #447C2×D47semidirect
1155. #440C2×D47semidirect
1163. #435C2×D47semidirect
1178. C47#61675semidirect

Maximal subgroups

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

subgroupindex
#202578042
#202571602
#202555292
#202555222
#202555212
#202555092
#202554142
#202554132
#202554002
#202553962
#202549762
#202549742
#202549322
#202549272
#202548832
#202548742
#202548622
#202544102
#202544022
#202542582
#202542482
#202542412
#202542372
#202535012
#202534942
#202526932
#202526912
#202526612
#202526512
#202524562
C47×#32652
#6167547