Finite Group Databasebeta

← #27103306

Subgroups — #27103306

Order 12032.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257817C211yesmaximal, characteristic, complemented
2#20257147C211yesmaximal, characteristic, complemented
3#20255608C211yesmaximal, characteristic, complemented
4#20255585C211yesmaximal, characteristic, complemented
5#20255530C211yesmaximal, characteristic, complemented
6#20255488C211yesmaximal, characteristic, complemented
7#20255402C211yesmaximal, characteristic, complemented
8#20255360C211yesmaximal, characteristic, complemented
9#20255239C211yesmaximal, characteristic, complemented
10#20255216C211yesmaximal, characteristic, complemented
11#20255095C211yesmaximal, characteristic, complemented
12#20255066C211yesmaximal, characteristic, complemented
13#20255013C211yesmaximal, characteristic, complemented
14#20254992C211yesmaximal, characteristic, complemented
15#20254937C211yesmaximal, characteristic, complemented
16#20254916C211yesmaximal, characteristic, complemented
17#20254883C211yesmaximal, characteristic, complemented
18#20254872C211yesmaximal, characteristic, complemented
19#20254429C211yesmaximal, characteristic, complemented
20#20254367C211yesmaximal, characteristic, complemented
21#20254296C211yesmaximal, characteristic, complemented
22#20254289C211yesmaximal, characteristic, complemented
23#20254270C211yesmaximal, characteristic, complemented
24#20254242C211yesmaximal, characteristic, complemented
25#20253527C211yesmaximal, characteristic, complemented
26#20253436C211yesmaximal, characteristic, complemented
27#20252693C211yesmaximal, characteristic, complemented
28#20252693C211yesmaximal, characteristic, complemented
29#20252656C211yesmaximal, characteristic, complemented
30#20252461C211yesmaximal, characteristic, complemented
31C47×#3009C211yesmaximal, characteristic, complemented
32C2×#13094069C2211yescharacteristic, complemented
33C2×#13094051C2211yescharacteristic, complemented
34C2×#13094051C2211yescharacteristic, complemented
35C2×#13094049C2211yescharacteristic, complemented
36C2×#13094045C2211yescharacteristic, complemented
37C2×#13094045C2211yescharacteristic, complemented
38C22×#10625334C2211yescharacteristic, complemented
39#15689872—21no—
40#15689863—21no—
41#15689839—21no—
42#15689817C2211yescharacteristic, complemented
43#15689817C2211yescharacteristic, complemented
44#15689807C2211yescharacteristic, complemented
45#15689807C2211yescharacteristic, complemented
46#15689801—21no—
47#15689784C2211yescharacteristic, complemented
48#15689784C2211yescharacteristic, complemented
49#15689772—21no—
50#15689772C2211yescharacteristic
51#15689772C2211yescharacteristic, complemented
52#15689767—21no—
53#15689767C2211yescharacteristic
54#15689767C2211yescharacteristic, complemented
55#15689764C2211yescharacteristic, complemented
56#15689764C2211yescharacteristic, complemented
57#15689761—21no—
58#15689761C2211yescharacteristic
59#15689761C2211yescharacteristic, complemented
60D4×C22⋊D47—21no—
61D4×C22⋊D47C2211yescharacteristic
62D4×C22⋊D47C2211yescharacteristic, complemented
63#15689725—21no—
64#15689725—21no—
65#15689707—21no—
66#15689707—21no—
67#15689703C2211yescharacteristic, complemented
68#15689703C2211yescharacteristic, complemented
69#15689701C2211yescharacteristic
70#15689701C2211yescharacteristic, complemented
71#15689687C2211yescharacteristic, complemented
72#15689682—21no—
73#15689682—21no—
74#15689669C2211yescharacteristic
75#15689669C2211yescharacteristic, complemented
76#15689659C2211yescharacteristic, complemented
77#15689659C2211yescharacteristic, complemented
78C2×#13093996—21no—
79C2×#13093996—21no—
80C2×D4×Dic47C2211yescharacteristic, complemented
81#15689516C2211yescharacteristic, complemented
82#15689509C2211yescharacteristic, complemented
83#15689508C2211yescharacteristic, complemented
84#15689504C2211yescharacteristic, complemented
85#15689490C2211yescharacteristic, complemented
86#15689486C2211yescharacteristic, complemented
87#15689479C2211yescharacteristic, complemented
88#15689476C2211yescharacteristic, complemented
89#15689465C2211yescharacteristic, complemented
90#15689464C2211yescharacteristic, complemented
91#15689457C2211yescharacteristic, complemented
92#15689456C2211yescharacteristic, complemented
93#15689452C2211yescharacteristic, complemented
94#15689451C2211yescharacteristic, complemented
95#15689448C2211yescharacteristic, complemented
96#15689447C2211yescharacteristic, complemented
97#15689442C2211yescharacteristic, complemented
98#15689440C2211yescharacteristic, complemented
99#15689437C2211yescharacteristic, complemented
100#15689435C2211yescharacteristic, complemented
101#15689425C2211yescharacteristic, complemented
102#15689425C2211yescharacteristic, complemented
103#15689421C2211yescharacteristic, complemented
104#15689421C2211yescharacteristic, complemented
105#15689379C2211yescharacteristic, complemented
106#15689378C2211yescharacteristic, complemented
107#15689376C2211yescharacteristic, complemented
108#15689375C2211yescharacteristic, complemented
109#15689372C2211yescharacteristic, complemented
110#15689371C2211yescharacteristic, complemented
111#15689369C2211yescharacteristic, complemented
112#15689366C2211yescharacteristic, complemented
113#15689362C2211yescharacteristic, complemented
114#15689361C2211yescharacteristic, complemented
115#15689359C2211yescharacteristic, complemented
116#15689358C2211yescharacteristic, complemented
117#15689355C2211yescharacteristic, complemented
118#15689354C2211yescharacteristic, complemented
119#15689352C2211yescharacteristic, complemented
120#15689349C2211yescharacteristic, complemented
121#15689347C2211yescharacteristic, complemented
122#15689343C2211yescharacteristic, complemented
123#15689341C2211yescharacteristic, complemented
124#15689340C2211yescharacteristic, complemented
125#15689340C2211yescharacteristic, complemented
126#15689340C2211yescharacteristic, complemented
127#15689340C2211yescharacteristic, complemented
128#15689337C2211yescharacteristic, complemented
129#15689331C2211yescharacteristic, complemented
130#15689327C2211yescharacteristic, complemented
131#15689321C2211yescharacteristic, complemented
132#15689317C2211yescharacteristic, complemented
133#15689284C2211yescharacteristic, complemented
134#15689284C2211yescharacteristic, complemented
135#15689283C2211yescharacteristic, complemented
136#15689283C2211yescharacteristic, complemented
137#15689282C2211yescharacteristic, complemented
138#15689282C2211yescharacteristic, complemented
139#15689279C2211yescharacteristic, complemented
140#15689276C2211yescharacteristic, complemented
141#15689272C2211yescharacteristic, complemented
142#15689272C2211yescharacteristic, complemented
143#15689270C2211yescharacteristic, complemented
144#15689270C2211yescharacteristic, complemented
145#15689269C2211yescharacteristic, complemented
146#15689269C2211yescharacteristic, complemented
147#15689268C2211yescharacteristic, complemented
148#15689268C2211yescharacteristic, complemented
149#15689268C2211yescharacteristic, complemented
150#15689268C2211yescharacteristic, complemented
151#15689267C2211yescharacteristic, complemented
152#15689267C2211yescharacteristic, complemented
153#15689262C2211yescharacteristic, complemented
154#15689259C2211yescharacteristic, complemented
155#15689258C2211yescharacteristic, complemented
156#15689258C2211yescharacteristic, complemented
157#15689257C2211yescharacteristic
158#15689257C2211yescharacteristic
159#15689257C2211yescharacteristic, complemented
160#15689257C2211yescharacteristic, complemented
161#15689232C2211yescharacteristic, complemented
162#15689232C2211yescharacteristic, complemented
163#15689224C2211yescharacteristic, complemented
164#15689224C2211yescharacteristic, complemented
165SD16×Dic47C2211yescharacteristic, complemented
166SD16×Dic47C2211yescharacteristic, complemented
167#15689203C2211yescharacteristic, complemented
168#15689203C2211yescharacteristic, complemented
169#15689199C2211yescharacteristic, complemented
170#15689198C2211yescharacteristic, complemented
171#15689197C2211yescharacteristic, complemented
172#15689194C2211yescharacteristic, complemented
173#15689192C2211yescharacteristic, complemented
174#15689191C2211yescharacteristic, complemented
175C8×C22⋊D47C2211yescharacteristic, complemented
176(C22⋊D47)⋊C8C2211yescharacteristic, complemented
177#15689177C2211yescharacteristic, complemented
178#15689173C2211yescharacteristic, complemented
179#15689128C2211yescharacteristic, complemented
180#15689121C2211yescharacteristic, complemented
181#15689121C2211yescharacteristic, complemented
182#15689119C2211yescharacteristic, complemented
183#102×D47C2211yescharacteristic, complemented
184#102×D47C2211yescharacteristic, complemented
185#15689090C2211yescharacteristic, complemented
186#15689088C2211yescharacteristic, complemented
187#15689088C2211yescharacteristic, complemented
188C2×H(5,𝔽2)×C47C2211yescharacteristic
189C2×#137×C47C2211yescharacteristic, complemented
190C22×SD16×C47C2211yescharacteristic, complemented
191C47×#536C2211yescharacteristic, complemented
192C47×#452C2211yescharacteristic, complemented
193C47×#452C2211yescharacteristic, complemented
194C47×#452C2211yescharacteristic, complemented
195C47×#452C2211yescharacteristic, complemented
196C47×#450C2211yescharacteristic, complemented
197C47×#450C2211yescharacteristic, complemented
198C47×#450C2211yescharacteristic, complemented
199C47×#450C2211yescharacteristic, complemented
200C47×#418C2211yescharacteristic, complemented
201C47×#416C2211yescharacteristic, complemented
202C47×#408C2211yescharacteristic, complemented
203#13094069—42no—
204#13094069—42no—
205C2×#10625354C2311yescharacteristic
206C2×#10625354C2311yescharacteristic
207C2×#10625350C2311yescharacteristic
208C2×#10625350C2311yescharacteristic
209C2×#10625352—21no—
210C2×#10625352C2311yescharacteristic
211C2×#10625352C2311yescharacteristic
212C22×D188C2311yescharacteristic
213C22×C22⋊D47—21no—
214C22×C22⋊D47—21no—
215C22×C22⋊D47—21no—
216C22×C22⋊D47—21no—
217C2×D4×D47—21no—
218C2×D4×D47C2311yescharacteristic
219C2×D4×D47C2311yescharacteristic
220C23×Dic47—21no—
221#13094051—42no—
222#13094051—42no—
223#13094049—42no—
224#13094045—42no—
225#13094045—42no—
226C2×#10625337C2311yescharacteristic
227C2×#10625337C2311yescharacteristic
228C2×#10625325C2311yescharacteristic
229C2×#10625325C2311yescharacteristic
230C2×#10625336C2311yescharacteristic
231C2×#10625336C2311yescharacteristic
232C2×#10625336C2311yescharacteristic
233C2×#10625336C2311yescharacteristic
234C2×D376C2311yescharacteristic
235C2×D376C2311yescharacteristic
236C2×#10625334—42no—
237C2×#10625334C2311yescharacteristic
238C2×#10625334C2311yescharacteristic
239C2×#10625334C2311yescharacteristic
240C2×#10625334C2311yescharacteristic
241C2×#10625334C2311yescharacteristic
242C2×#10625334C2311yescharacteristic
243C2×#10625329C2311yescharacteristic
244C2×#10625324C2311yescharacteristic
245C2×#10625324C2311yescharacteristic
246C22×C47⋊C8C2311yescharacteristic
247C2×C8×D47C2311yescharacteristic
248C2×C8×D47C2311yescharacteristic
249#13094022D411yescharacteristic
250#13094022C2311yescharacteristic
251#13094020—21no—
252#13094020D411yescharacteristic
253#13094020C2311yescharacteristic
254#13094019—21no—
255#13094019—21no—
256#13094018—21no—
257#13094018—21no—
258#13094017—21no—
259#13094017—21no—
260#13094015C2311yescharacteristic
261#13094015C2311yescharacteristic
262#13094014—21no—
263#13094014—21no—
264#13094013—21no—
265#13094013—21no—
266#13094013—21no—
267#13094013D411yescharacteristic
268#13094013C2311yescharacteristic
269#13094013C2311yescharacteristic
270#13094013C2311yescharacteristic
271#13094011D411yescharacteristic
272#13094011C2311yescharacteristic
273#13094009—21no—
274#13094009—21no—
275#13094008—21no—
276#13094008—21no—
277#13094007—21no—
278#13094007—21no—
279#13094007—21no—
280#13094007—21no—
281#13094006—21no—
282#13094006—21no—
283#13094006—21no—
284#13094006—21no—
285#13094005—21no—
286#13094005—21no—
287#13094005—21no—
288#13094005—21no—
289#13094003—21no—
290#13094003C2311yescharacteristic
291#13094003C2311yescharacteristic
292#13094002—21no—
293#13094002—21no—
294#13094000—21no—
295#13094000—21no—
296#13094000—21no—
297#13094000C2311yescharacteristic
298#13094000C2311yescharacteristic
299#13094000C2311yescharacteristic
300#13094000C2311yescharacteristic
301#13093999—21no—
302#13093999—21no—
303#13093999—21no—
304#13093999—21no—
305#13093999C2311yescharacteristic
306#13093999C2311yescharacteristic
307#13093998—21no—
308#13093998—21no—
309#13093998—21no—
310#13093998C2311yescharacteristic
311#13093998C2311yescharacteristic
312#13093998C2311yescharacteristic
313#13093998C2311yescharacteristic
314#13093998C2311yescharacteristic
315#13093998C2311yescharacteristic
316#13093997—21no—
317#13093997—21no—
318#13093997—21no—
319#13093997—21no—
320#13093997—21no—
321#13093997—21no—
322#13093996—21no—
323#13093996—21no—
324#13093996—21no—
325#13093996—21no—
326#13093996—21no—
327#13093996—21no—
328#13093996—21no—
329#13093996—21no—
330#13093996—21no—
331#13093996—21no—
332#13093996—21no—
333#13093996—21no—
334#13093996—21no—
335#13093996—21no—
336#13093996D411yescharacteristic
337#13093996D411yescharacteristic
338#13093996D411yescharacteristic
339#13093996D411yescharacteristic
340#13093995—21no—
341#13093995C2311yescharacteristic
342#13093995C2311yescharacteristic
343#13093994—21no—
344#13093994—21no—
345#13093993—21no—
346#13093993—21no—
347#13093993—21no—
348#13093993—21no—
349#13093992—21no—
350#13093992—21no—
351#13093992—21no—
352#13093992—21no—
353#13093992—21no—
354#13093992—21no—
355Q8×Dic47C2311yescharacteristic
356Q8×Dic47C2311yescharacteristic
357C4×D188—21no—
358C4×D188—21no—
359D4×Dic47—21no—
360D4×Dic47—21no—
361D4×Dic47C2311yescharacteristic
362D4×Dic47C2311yescharacteristic
363D4×Dic47C2311yescharacteristic
364D4×Dic47C2311yescharacteristic
365#13093986C2311yescharacteristic
366#13093986C2311yescharacteristic
367C4×C22⋊D47—21no—
368C4×C22⋊D47—21no—
369C4×C22⋊D47—21no—
370C4×C22⋊D47—21no—
371C4×C22⋊D47C2311yescharacteristic
372C4×C22⋊D47C2311yescharacteristic
373C4×C22⋊D47C2311yescharacteristic
374C4×C22⋊D47C2311yescharacteristic
375(C22⋊D47)⋊C4—21no—
376(C22⋊D47)⋊C4—21no—
377#13093983C2311yescharacteristic
378#13093982—21no—
379#13093982—21no—
380#13093982—21no—
381#13093982—21no—
382C2×C4⋊Dic47C2311yescharacteristic
383C2×Dic47⋊C4—21no—
384C2×Dic47⋊C4—21no—
385C4⋊C4×D47C2311yescharacteristic
386C4⋊C4×D47C2311yescharacteristic
387C2×C22⋊Dic47—21no—
388C2×C22⋊Dic47—21no—
389C2×C22⋊Dic47—21no—
390C2×(C2×D47)⋊C4—21no—
391C2×(C2×D47)⋊C4—21no—
392C22⋊C4×D47—21no—
393C22⋊C4×D47—21no—
394C2×C4×Dic47C2311yescharacteristic
395#13093958C2311yescharacteristic
396#13093958C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093956C2311yescharacteristic
400#13093956C2311yescharacteristic
401#13093955C2311yescharacteristic
402#13093955C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406Dic47⋊C8C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431C22⋊(C47⋊C8)C2311yescharacteristic
432C22⋊(C47⋊C8)C2311yescharacteristic
433C22⋊(C47⋊C8)C2311yescharacteristic
434C22⋊(C47⋊C8)C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439#13093934C2311yescharacteristic
440#13093934C2311yescharacteristic
441C8×Dic47C2311yescharacteristic
442C8×Dic47C2311yescharacteristic
443H(5,𝔽2)×C47—42no—
444H(5,𝔽2)×C47—42no—
445C2×#41×C47—21no—
446C2×#41×C47C2311yescharacteristic
447C2×#41×C47C2311yescharacteristic
448C2×#41×C47C2311yescharacteristic
449C2×#41×C47C2311yescharacteristic
450C22×Q8×C47C2311yescharacteristic
451C22×D4×C47—21no—
452C22×D4×C47—21no—
453C22×D4×C47—21no—
454C22×D4×C47C2311yescharacteristic
455C22×D4×C47C2311yescharacteristic
456C22×D4×C47C2311yescharacteristic
457#137×C47—42no—
458C2×Q16×C47C2311yescharacteristic
459C2×Q16×C47C2311yescharacteristic
460C2×SD16×C47—42no—
461C2×SD16×C47C2311yescharacteristic
462C2×SD16×C47C2311yescharacteristic
463C2×SD16×C47C2311yescharacteristic
464C2×SD16×C47C2311yescharacteristic
465C2×SD16×C47C2311yescharacteristic
466C2×SD16×C47C2311yescharacteristic
467C2×M16×C47C2311yescharacteristic
468C22×C8×C47C2311yescharacteristic
469C4⋊Q8×C47—21no—
470#124×C47—21no—
471#123×C47—21no—
472#123×C47—21no—
473C22⋊Q8×C47C2311yescharacteristic
474C22⋊Q8×C47C2311yescharacteristic
475C22⋊Q8×C47C2311yescharacteristic
476C22⋊Q8×C47C2311yescharacteristic
477#117×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481#102×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486C22⋊C8×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489C22⋊C8×C47C2311yescharacteristic
490C24×C47—21no—
491C24×C47—21no—
492C24×C47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496#41×C47—22no—
497#41×C47—22no—
498#41×C47—41no—
499#41×C47—41no—
500#41×C47—41no—
501#41×C47—41no—
502#41×C47—41no—
503#41×C47—41no—
504#41×C47—44no—
505C2×Q8×C47—21no—
506C2×Q8×C47—41no—
507C2×Q8×C47—41no—
508C2×Q8×C47C2×D411yescharacteristic
509C2×Q8×C47C2411yescharacteristic
510C2×Q8×C47C2411yescharacteristic
511C2×Q8×C47C2411yescharacteristic
512C2×D4×C47—22no—
513C2×D4×C47—22no—
514C2×D4×C47—22no—
515C2×D4×C47—22no—
516C2×D4×C47—21no—
517C2×D4×C47—21no—
518C2×D4×C47—21no—
519C2×D4×C47—21no—
520C2×D4×C47—21no—
521C2×D4×C47—21no—
522C2×D4×C47—41no—
523C2×D4×C47—41no—
524C2×D4×C47—44no—
525C2×D4×C47—44no—
526C2×D4×C47—44no—
527C2×D4×C47C2×D411yescharacteristic
528C2×D4×C47C2×D411yescharacteristic
529C2×D4×C47C2×D411yescharacteristic
530C2×D4×C47C2411yescharacteristic
531C2×D4×C47C2411yescharacteristic
532C2×D4×C47C2411yescharacteristic
533C22×C4×C47—21no—
534C22×C4×C47—21no—
535C22×C4×C47—21no—
536C22×C4×C47—21no—
537C22×C4×C47C2411yescharacteristic
538C22×C4×C47C2411yescharacteristic
539C22×C4×C47C2411yescharacteristic
540C2×C22⋊D47—21no—
541C2×C22⋊D47—21no—
542C2×C22⋊D47—21no—
543C2×C22⋊D47—21no—
544C2×C22⋊D47—21no—
545C2×C22⋊D47—21no—
546C2×C22⋊D47—21no—
547C2×C22⋊D47—21no—
548C2×C22⋊D47—21no—
549C2×C22⋊D47—21no—
550C2×C22⋊D47—21no—
551C2×C22⋊D47—21no—
552C2×C22⋊D47—21no—
553C2×C22⋊D47—21no—
554C2×C22⋊D47—21no—
555C2×C22⋊D47—44no—
556C2×C22⋊D47—44no—
557C2×C22⋊D47—82no—
558C2×C22⋊D47—82no—
559C2×C22⋊D47C2×D411yescharacteristic
560C2×C22⋊D47C2×D411yescharacteristic
561C2×C22⋊D47C2×D411yescharacteristic
562C2×C22⋊D47C2×D411yescharacteristic
563C2×C22⋊D47C2×D411yescharacteristic
564C2×C22⋊D47C2×D411yescharacteristic
565C22×Dic47—21no—
566C22×Dic47—21no—
567C22×Dic47—21no—
568C22×Dic47—21no—
569C22×Dic47—21no—
570C22×Dic47—21no—
571C22×Dic47—21no—
572C22×Dic47—82no—
573C22×Dic47C2×D411yescharacteristic
574C22×Dic47C2×D411yescharacteristic
575#10625354—41no—
576#10625354—41no—
577#10625354—41no—
578#10625354—41no—
579#10625352—22no—
580#10625352—22no—
581#10625352—41no—
582#10625352—41no—
583#10625352—44no—
584D4×D47—22no—
585D4×D47—22no—
586D4×D47—41no—
587D4×D47—41no—
588D4×D47—44no—
589#10625350—41no—
590#10625350—41no—
591#10625350—41no—
592#10625350—41no—
593C2×D188—21no—
594C2×D188—21no—
595C2×D188—21no—
596C2×D188—21no—
597C2×D188—21no—
598C2×D188—41no—
599C2×D188—41no—
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×D47C2411yescharacteristic
612C2×C4×D47C2411yescharacteristic
613C2×Dic94C2×D411yescharacteristic
614C2×Dic94C2411yescharacteristic
615Q16×C47—41no—
616Q16×C47—41no—
617SD16×C47—22no—
618SD16×C47—22no—
619SD16×C47—22no—
620SD16×C47—22no—
621SD16×C47—41no—
622SD16×C47—41no—
623M16×C47—41no—
624C2×C8×C47—41no—
625C2×C8×C47C2411yescharacteristic
626C2×C8×C47C2411yescharacteristic
627C2×C8×C47C2411yescharacteristic
628C2×C8×C47C2411yescharacteristic
629C4⋊C4×C47—21no—
630C4⋊C4×C47—21no—
631C4⋊C4×C47—21no—
632C4⋊C4×C47—21no—
633C4⋊C4×C47C2411yescharacteristic
634C4⋊C4×C47C2411yescharacteristic
635C22⋊C4×C47—21no—
636C22⋊C4×C47—21no—
637C22⋊C4×C47—21no—
638C22⋊C4×C47—21no—
639C22⋊C4×C47—21no—
640C42×C47—21no—
641C22⋊Dic47—21no—
642C22⋊Dic47—21no—
643C22⋊Dic47—21no—
644C22⋊Dic47—21no—
645C22⋊Dic47—21no—
646C22⋊Dic47—21no—
647C22⋊Dic47—21no—
648C22⋊Dic47—21no—
649C22⋊Dic47—21no—
650C22⋊Dic47—21no—
651C22⋊Dic47—21no—
652C22⋊Dic47C2×D411yescharacteristic
653C22⋊Dic47C2×D411yescharacteristic
654C22⋊Dic47C2×D411yescharacteristic
655C22⋊Dic47C2×D411yescharacteristic
656#10625337—41no—
657#10625337—41no—
658#10625336—41no—
659#10625336—41no—
660#10625336—41no—
661#10625336—41no—
662#10625334—22no—
663#10625334—22no—
664#10625334—22no—
665#10625334—22no—
666#10625334—41no—
667#10625334—41no—
668(C2×D47)⋊C4—21no—
669(C2×D47)⋊C4—21no—
670(C2×D47)⋊C4—21no—
671(C2×D47)⋊C4—21no—
672(C2×D47)⋊C4—21no—
673(C2×D47)⋊C4—21no—
674(C2×D47)⋊C4—21no—
675(C2×D47)⋊C4—21no—
676(C2×D47)⋊C4—21no—
677(C2×D47)⋊C4—21no—
678(C2×D47)⋊C4—21no—
679(C2×D47)⋊C4—21no—
680(C2×D47)⋊C4—21no—
681(C2×D47)⋊C4—21no—
682(C2×D47)⋊C4—21no—
683(C2×D47)⋊C4—21no—
684(C2×D47)⋊C4—21no—
685(C2×D47)⋊C4—21no—
686(C2×D47)⋊C4—21no—
687(C2×D47)⋊C4—21no—
688(C2×D47)⋊C4C2×D411yescharacteristic
689(C2×D47)⋊C4C2×D411yescharacteristic
690(C2×D47)⋊C4C2×D411yescharacteristic
691(C2×D47)⋊C4C2×D411yescharacteristic
692C4⋊Dic47—21no—
693C4⋊Dic47—21no—
694C4⋊Dic47—21no—
695C4⋊Dic47—21no—
696C4⋊Dic47—21no—
697C4⋊Dic47C2411yescharacteristic
698C4⋊Dic47C2411yescharacteristic
699C4⋊Dic47C2411yescharacteristic
700C4⋊Dic47C2411yescharacteristic
701Dic47⋊C4—21no—
702Dic47⋊C4—21no—
703Dic47⋊C4—21no—
704Dic47⋊C4—21no—
705Dic47⋊C4—21no—
706Dic47⋊C4—21no—
707Dic47⋊C4—21no—
708Dic47⋊C4—21no—
709Dic47⋊C4—21no—
710Dic47⋊C4—21no—
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4C2×D411yescharacteristic
714Dic47⋊C4C2×D411yescharacteristic
715Dic47⋊C4C2×D411yescharacteristic
716Dic47⋊C4C2×D411yescharacteristic
717C4×Dic47—21no—
718C4×Dic47—21no—
719C4×Dic47—21no—
720C4×Dic47C2×D411yescharacteristic
721C4×Dic47C2×D411yescharacteristic
722C4×Dic47C2411yescharacteristic
723C4×Dic47C2411yescharacteristic
724#10625329—41no—
725C2×C47⋊C8—41no—
726C2×C47⋊C8C2411yescharacteristic
727C2×C47⋊C8C2411yescharacteristic
728C2×C47⋊C8C2411yescharacteristic
729C2×C47⋊C8C2411yescharacteristic
730D376—41no—
731D376—41no—
732#10625325—41no—
733#10625325—41no—
734#10625324—41no—
735#10625324—41no—
736C8×D47—41no—
737C8×D47—41no—
738C23×C47—24no—
739C23×C47—21no—
740C23×C47—21no—
741C23×C47—21no—
742C23×C47—42no—
743C23×C47—42no—
744C23×C47—81no—
745C23×C47—81no—
746C23×C47—81no—
747C23×C47—81no—
748C23×C47—81no—
749C23×C47—81no—
750C23×C47C22×D411yescharacteristic
751C23×C47C22×D411yescharacteristic
752C23×C47C22×D411yescharacteristic
753C22×D47—21no—
754C22×D47—21no—
755C22×D47—21no—
756C22×D47—42no—
757C22×D47—42no—
758C22×D47—81no—
759C22×D47—81no—
760C22×D47—81no—
761C22×D47—81no—
762C22×D47—81no—
763C22×D47—81no—
764C22×D47—81no—
765C22×D47C22×D411yescharacteristic
766C22×D47C22×D411yescharacteristic
767Q8×C47—21no—
768Q8×C47—21no—
769Q8×C47—21no—
770Q8×C47—21no—
771Q8×C47—21no—
772Q8×C47—21no—
773Q8×C47—41no—
774Q8×C47—81no—
775D4×C47—24no—
776D4×C47—21no—
777D4×C47—21no—
778D4×C47—21no—
779D4×C47—21no—
780D4×C47—41no—
781D4×C47—41no—
782D4×C47—41no—
783D4×C47—42no—
784D4×C47—42no—
785D4×C47—42no—
786D4×C47—42no—
787D4×C47—42no—
788D4×C47H(5,𝔽2)12yes—
789D4×C47H(5,𝔽2)12yes—
790C2×C4×C47—21no—
791C2×C4×C47—21no—
792C2×C4×C47—21no—
793C2×C4×C47—21no—
794C2×C4×C47—21no—
795C2×C4×C47—21no—
796C2×C4×C47—21no—
797C2×C4×C47—21no—
798C2×C4×C47—21no—
799C2×C4×C47—21no—
800C2×C4×C47—21no—
801C2×C4×C47—42no—
802C2×C4×C47—42no—
803C2×C4×C47—42no—
804C2×C4×C47—81no—
805C2×C4×C47C22×D411yescharacteristic
806C2×C4×C47C22×D411yescharacteristic
807C2×C4×C47C22×D411yescharacteristic
808C2×C4×C47C2511yescharacteristic
809C22⋊D47—41no—
810C22⋊D47—41no—
811C22⋊D47—41no—
812C22⋊D47—41no—
813C22⋊D47—41no—
814C22⋊D47—41no—
815C22⋊D47—42no—
816C22⋊D47—42no—
817C22⋊D47—42no—
818C22⋊D47—42no—
819C22⋊D47—42no—
820C22⋊D47—42no—
821C22⋊D47—81no—
822C22⋊D47—81no—
823C22⋊D47—81no—
824C22⋊D47—81no—
825C22⋊D47—81no—
826C22⋊D47—81no—
827C22⋊D47—81no—
828C22⋊D47—81no—
829C22⋊D47—81no—
830C2×Dic47—21no—
831C2×Dic47—21no—
832C2×Dic47—21no—
833C2×Dic47—21no—
834C2×Dic47—21no—
835C2×Dic47—41no—
836C2×Dic47—41no—
837C2×Dic47—42no—
838C2×Dic47—42no—
839C2×Dic47—42no—
840C2×Dic47—42no—
841C2×Dic47—81no—
842C2×Dic47—81no—
843C2×Dic47—81no—
844C2×Dic47C22×D411yescharacteristic
845C2×Dic47C22×D411yescharacteristic
846C2×Dic47C22×D411yescharacteristic
847C2×Dic47C22×D411yescharacteristic
848C2×Dic47C22×D411yescharacteristic
849C2×Dic47C22×D411yescharacteristic
850D188—21no—
851D188—21no—
852D188—21no—
853D188—21no—
854D188—21no—
855D188—21no—
856D188—41no—
857D188—81no—
858D188—81no—
859D188—81no—
860D188—81no—
861D188—81no—
862C4×D47—21no—
863C4×D47—21no—
864C4×D47—21no—
865C4×D47—21no—
866C4×D47—42no—
867C4×D47—81no—
868C4×D47—81no—
869C4×D47—81no—
870C4×D47—81no—
871C4×D47—81no—
872C4×D47—81no—
873Dic94—21no—
874Dic94—21no—
875Dic94—41no—
876C8×C47—21no—
877C8×C47—21no—
878C8×C47—21no—
879C8×C47—21no—
880C47⋊C8—21no—
881C47⋊C8—21no—
882C47⋊C8—21no—
883C47⋊C8—21no—
884#61678—471nomaximal, Sylow
885C22×C47—21no—
886C22×C47—21no—
887C22×C47—21no—
888C22×C47—21no—
889C22×C47—21no—
890C22×C47—21no—
891C22×C47—22no—
892C22×C47—22no—
893C22×C47—21no—
894C22×C47—21no—
895C22×C47—21no—
896C22×C47—41no—
897C22×C47—41no—
898C22×C47—41no—
899C22×C47—41no—
900C22×C47—41no—
901C22×C47—41no—
902C22×C47—41no—
903C22×C47—84no—
904C22×C47—162no—
905C22×C47—162no—
906C22×C47C23×D411yescharacteristic
907C2×D47—21no—
908C2×D47—21no—
909C2×D47—21no—
910C2×D47—21no—
911C2×D47—21no—
912C2×D47—21no—
913C2×D47—41no—
914C2×D47—41no—
915C2×D47—41no—
916C2×D47—41no—
917C2×D47—41no—
918C2×D47—41no—
919C2×D47—41no—
920C2×D47—41no—
921C2×D47—41no—
922C2×D47—162no—
923C2×D47—162no—
924C2×D47—162no—
925C4×C47—21no—
926C4×C47—21no—
927C4×C47—21no—
928C4×C47—41no—
929C4×C47—41no—
930C4×C47—41no—
931C4×C47—41no—
932C4×C47—41no—
933C4×C47C2×H(5,𝔽2)11yescharacteristic
934C4×C47C2×H(5,𝔽2)11yescharacteristic
935Dic47—21no—
936Dic47—21no—
937Dic47—21no—
938Dic47—21no—
939Dic47—21no—
940Dic47—21no—
941Dic47—41no—
942Dic47—41no—
943Dic47—41no—
944Dic47—41no—
945Dic47—41no—
946#3551—471no—
947#3496—471no—
948#3323—471no—
949#3322—471no—
950#3318—471no—
951#3315—471no—
952#3310—471no—
953#3307—471no—
954#3297—471no—
955#3296—471no—
956#3282—471no—
957#3280—471no—
958#3275—471no—
959#3273—471no—
960#3269—471no—
961#3267—471no—
962#3265—471no—
963#3264—471no—
964#3219—471no—
965#3212—471no—
966#3204—471no—
967#3203—471no—
968#3201—471no—
969#3198—471no—
970#3114—471no—
971#3105—471no—
972#3012—471no—
973#3012—471no—
974#3009D4711yescharacteristic, complemented
975#3008—471no—
976#2981—471no—
977C2×C47—41no—
978C2×C47—42no—
979C2×C47—42no—
980C2×C47—41no—
981C2×C47—41no—
982C2×C47—81no—
983C2×C47#348411yescharacteristic
984C2×C47#358411yescharacteristic
985C2×C47#358511yescharacteristic
986D47—41no—
987D47—41no—
988D47—81no—
989D47—81no—
990D47—81no—
991C2×H(5,𝔽2)—471no—
992C2×H(5,𝔽2)C2×D4711yescharacteristic
993C2×#137C2×D4711yescharacteristic, complemented
994C2×AGL(1,ℤ/8)—471no—
995C2×AGL(1,ℤ/8)—471no—
996C2×AGL(1,ℤ/8)—471no—
997C2×#135—471no—
998C2×#135—471no—
999C22×SD16C2×D4711yescharacteristic, complemented
1000C22×D8—471no—
1001#563—941no—
1002#560—941no—
1003#555—941no—
1004#553—471no—
1005#553—471no—
1006#552—471no—
1007#552—471no—
1008#551—941no—
1009#548—471no—
1010#548—471no—
1011#547—471no—
1012#547—471no—
1013#547—941no—
1014#546—471no—
1015#546—471no—
1016#546—471no—
1017#546—471no—
1018#546—471no—
1019#546—471no—
1020#546—941no—
1021#546—941no—
1022D42—471no—
1023D42—471no—
1024D42—941no—
1025#540—941no—
1026#540—941no—
1027#538—941no—
1028#538—941no—
1029#537—471no—
1030#537—471no—
1031#537—471no—
1032#537—471no—
1033#536C2×D4711yescharacteristic, complemented
1034#535—471no—
1035#534—941no—
1036#534—941no—
1037#532—471no—
1038#532—471no—
1039#529—471no—
1040#529—471no—
1041C2×#121—941no—
1042C2×#121—941no—
1043C2×C4×D4—471no—
1044#497—471no—
1045#496—471no—
1046#495—471no—
1047#495—471no—
1048#491—471no—
1049#490—471no—
1050#488—471no—
1051#488—471no—
1052#485—471no—
1053#485—471no—
1054#484—471no—
1055#484—471no—
1056#483—471no—
1057#483—471no—
1058#482—471no—
1059#482—471no—
1060#481—471no—
1061#481—471no—
1062#480—471no—
1063#480—471no—
1064#478—471no—
1065#478—471no—
1066#478—471no—
1067#478—471no—
1068#470—471no—
1069#470—471no—
1070#469—471no—
1071#469—471no—
1072#468—471no—
1073#468—471no—
1074#468—471no—
1075#468—471no—
1076#467—471no—
1077#467—471no—
1078#466—471no—
1079#466—471no—
1080#465—471no—
1081#465—471no—
1082#465—471no—
1083#465—471no—
1084#464—471no—
1085#464—471no—
1086#463—471no—
1087#463—471no—
1088#463—471no—
1089#463—471no—
1090#463—471no—
1091#463—471no—
1092#462—471no—
1093#461—471no—
1094#460—471no—
1095#459—471no—
1096#452—471no—
1097#452—471no—
1098#452—471no—
1099#452—471no—
1100#452—471no—
1101#452—471no—
1102#452C2×D4711yescharacteristic, complemented
1103#452C2×D4711yescharacteristic, complemented
1104#452C2×D4711yescharacteristic, complemented
1105#452C2×D4711yescharacteristic, complemented
1106#451—471no—
1107#450—471no—
1108#450—471no—
1109#450—471no—
1110#450C2×D4711yescharacteristic, complemented
1111#450C2×D4711yescharacteristic, complemented
1112#450C2×D4711yescharacteristic, complemented
1113#450C2×D4711yescharacteristic, complemented
1114#449—471no—
1115#449—471no—
1116#449—471no—
1117#449—471no—
1118#449—471no—
1119#449—471no—
1120#449—471no—
1121#449—471no—
1122#449—471no—
1123#449—471no—
1124#448—471no—
1125#447—471no—
1126#447—471no—
1127#447—471no—
1128#447—471no—
1129#447—471no—
1130#447—471no—
1131#447—471no—
1132#442—471no—
1133#442—471no—
1134#440—471no—
1135#440—471no—
1136C4×SD16—471no—
1137C4×SD16—471no—
1138C4×D8—471no—
1139C4×D8—471no—
1140#436—471no—
1141#436—471no—
1142#435—471no—
1143#435—471no—
1144#435—471no—
1145#435—471no—
1146C8×D4—471no—
1147C8×D4—471no—
1148#432—471no—
1149#431—471no—
1150#418—471no—
1151#418C2×D4711yescharacteristic, complemented
1152#417—471no—
1153#417—471no—
1154#416—471no—
1155#416C2×D4711yescharacteristic, complemented
1156C2×#102—471no—
1157C2×#102—471no—
1158#408—471no—
1159#408—471no—
1160#408—471no—
1161#408C2×D4711yescharacteristic, complemented
1162C47#6167811yescharacteristic, complemented, Sylow
1163H(5,𝔽2)—42no—
1164H(5,𝔽2)—42no—
1165H(5,𝔽2)—1882no—
1166H(5,𝔽2)—1882no—
1167C2×#41—21no—
1168C2×#41—471no—
1169C2×#41—471no—
1170C2×#41—471no—
1171C2×#41—471no—
1172C2×#41—471no—
1173C2×#41—471no—
1174C2×#41—941no—
1175C2×#41C22×D4711yescharacteristic
1176C2×#41C22×D4711yescharacteristic
1177C2×#41C22×D4711yescharacteristic
1178C2×#41C22×D4711yescharacteristic
1179C22×Q8C22×D4711yescharacteristic
1180C22×D4—21no—
1181C22×D4—21no—
1182C22×D4—21no—
1183C22×D4—471no—
1184C22×D4—471no—
1185C22×D4—471no—
1186C22×D4—941no—
1187C22×D4—941no—
1188C22×D4—941no—
1189C22×D4—941no—
1190C22×D4—941no—
1191C22×D4C22×D4711yescharacteristic
1192C22×D4C22×D4711yescharacteristic
1193C22×D4C22×D4711yescharacteristic
1194C23×C4—941no—
1195#137—42no—
1196AGL(1,ℤ/8)—1882no—
1197AGL(1,ℤ/8)—1882no—
1198AGL(1,ℤ/8)—1882no—
1199#135—1882no—
1200#135—1882no—
1201C2×Q16—471no—
1202C2×Q16—471no—
1203C2×Q16C22×D4711yescharacteristic
1204C2×Q16C22×D4711yescharacteristic
1205C2×SD16—42no—
1206C2×SD16—471no—
1207C2×SD16—471no—
1208C2×SD16—471no—
1209C2×SD16—471no—
1210C2×SD16—471no—
1211C2×SD16—471no—
1212C2×SD16C22×D4711yescharacteristic
1213C2×SD16C22×D4711yescharacteristic
1214C2×SD16C22×D4711yescharacteristic
1215C2×SD16C22×D4711yescharacteristic
1216C2×SD16C22×D4711yescharacteristic
1217C2×SD16C22×D4711yescharacteristic
1218C2×D8—471no—
1219C2×D8—471no—
1220C2×D8—471no—
1221C2×D8—471no—
1222C2×D8—471no—
1223C2×D8—471no—
1224C2×D8—471no—
1225C2×D8—471no—
1226C2×D8—1882no—
1227C2×M16—471no—
1228C2×M16—471no—
1229C2×M16—471no—
1230C2×M16C22×D4711yescharacteristic
1231C22×C8—471no—
1232C22×C8—471no—
1233C22×C8—471no—
1234C22×C8C22×D4711yescharacteristic
1235C4⋊Q8—21no—
1236C4⋊Q8—471no—
1237C4⋊Q8—471no—
1238#127—471no—
1239#127—471no—
1240#127—941no—
1241#126—941no—
1242#126—941no—
1243#126—941no—
1244#126—941no—
1245#126—941no—
1246#126—941no—
1247#125—471no—
1248#125—471no—
1249#125—941no—
1250#125—941no—
1251#124—21no—
1252#124—471no—
1253#124—471no—
1254#124—471no—
1255#124—471no—
1256#124—471no—
1257#124—471no—
1258#124—941no—
1259#124—941no—
1260#124—941no—
1261#123—21no—
1262#123—21no—
1263#123—941no—
1264#123—941no—
1265#123—941no—
1266#123—941no—
1267#123—941no—
1268#123—941no—
1269#123—941no—
1270#123—941no—
1271#123—941no—
1272#123—941no—
1273#123—941no—
1274#123—941no—
1275#123—941no—
1276#123—941no—
1277#123—941no—
1278#123—941no—
1279C22⋊Q8—471no—
1280C22⋊Q8—471no—
1281C22⋊Q8—471no—
1282C22⋊Q8—471no—
1283C22⋊Q8—471no—
1284C22⋊Q8—471no—
1285C22⋊Q8—941no—
1286C22⋊Q8—941no—
1287C22⋊Q8—941no—
1288C22⋊Q8—941no—
1289C22⋊Q8—941no—
1290C22⋊Q8—941no—
1291C22⋊Q8C22×D4711yescharacteristic
1292C22⋊Q8C22×D4711yescharacteristic
1293C22⋊Q8C22×D4711yescharacteristic
1294C22⋊Q8C22×D4711yescharacteristic
1295#121—471no—
1296#121—471no—
1297#121—471no—
1298#121—471no—
1299#121—471no—
1300#121—471no—
1301#121—471no—
1302#121—471no—
1303#121—471no—
1304#121—471no—
1305#121—471no—
1306#121—471no—
1307#121—471no—
1308#121—471no—
1309#121—941no—
1310#121—941no—
1311#121—941no—
1312#121—941no—
1313#121—941no—
1314#121—941no—
1315#121—941no—
1316#121—941no—
1317#121—941no—
1318#121—941no—
1319#121—941no—
1320#121—941no—
1321#121—941no—
1322#121—941no—
1323#121—941no—
1324#121—941no—
1325#121—941no—
1326#121—941no—
1327#121—941no—
1328#121—941no—
1329#121—941no—
1330#121—941no—
1331#121—941no—
1332#121—941no—
1333#121—941no—
1334#121—941no—
1335#121—941no—
1336#121—941no—
1337#120—941no—
1338#120—941no—
1339#120—941no—
1340#120—941no—
1341#120—941no—
1342#120—941no—
1343#120—941no—
1344#120—941no—
1345#120—941no—
1346#120—941no—
1347#120—941no—
1348#120—941no—
1349C4×Q8—471no—
1350C4×Q8—471no—
1351C4×D4—471no—
1352C4×D4—471no—
1353C4×D4—471no—
1354C4×D4—471no—
1355C4×D4—471no—
1356C4×D4—471no—
1357C4×D4—471no—
1358C4×D4—471no—
1359C4×D4—471no—
1360C4×D4—471no—
1361C4×D4—941no—
1362C4×D4—941no—
1363C4×D4—941no—
1364C4×D4—941no—
1365C4×D4—941no—
1366C4×D4—941no—
1367C4×D4—941no—
1368C4×D4—941no—
1369C4×D4—941no—
1370C4×D4—941no—
1371#117—471no—
1372#117—941no—
1373#117—941no—
1374#117—941no—
1375#117—941no—
1376#117C22×D4711yescharacteristic
1377C2×C4⋊C4—471no—
1378C2×C4⋊C4—471no—
1379C2×C4⋊C4—471no—
1380C2×C4⋊C4—941no—
1381C2×C4⋊C4—941no—
1382C2×C22⋊C4—941no—
1383C2×C22⋊C4—941no—
1384C2×C22⋊C4—941no—
1385C2×C22⋊C4—941no—
1386C2×C22⋊C4—941no—
1387C2×C22⋊C4—941no—
1388C2×C22⋊C4—941no—
1389C2×C42—471no—
1390#107—471no—
1391#107—471no—
1392#107—471no—
1393#107—471no—
1394#106—471no—
1395#106—471no—
1396#106—471no—
1397#106—471no—
1398C4⋊C8—471no—
1399C4⋊C8—471no—
1400C4⋊C8—471no—
1401C4⋊C8—471no—
1402#103—471no—
1403#103—471no—
1404#103—471no—
1405#103—471no—
1406#103—471no—
1407#103—471no—
1408#103—471no—
1409#103—471no—
1410#103—471no—
1411#103—471no—
1412#103C22×D4711yescharacteristic
1413#103C22×D4711yescharacteristic
1414#102—471no—
1415#102—471no—
1416#102—471no—
1417#102—471no—
1418#102—471no—
1419#102—471no—
1420#102—471no—
1421#102—471no—
1422#102—471no—
1423#102—471no—
1424#102—471no—
1425#102—471no—
1426#102—471no—
1427#102—471no—
1428#102C22×D4711yescharacteristic
1429#102C22×D4711yescharacteristic
1430#102C22×D4711yescharacteristic
1431#102C22×D4711yescharacteristic
1432#102C22×D4711yescharacteristic
1433#102C22×D4711yescharacteristic
1434C22⋊C8—471no—
1435C22⋊C8—471no—
1436C22⋊C8—471no—
1437C22⋊C8—471no—
1438C22⋊C8—471no—
1439C22⋊C8—471no—
1440C22⋊C8—471no—
1441C22⋊C8—471no—
1442C22⋊C8C22×D4711yescharacteristic
1443C22⋊C8C22×D4711yescharacteristic
1444C22⋊C8C22×D4711yescharacteristic
1445C22⋊C8C22×D4711yescharacteristic
1446#97—471no—
1447#97—471no—
1448C4×C8—471no—
1449C4×C8—471no—
1450C24—21no—
1451C24—21no—
1452C24—21no—
1453C24—941no—
1454C24—941no—
1455C24—941no—
1456#41—22no—
1457#41—22no—
1458#41—41no—
1459#41—41no—
1460#41—41no—
1461#41—41no—
1462#41—41no—
1463#41—41no—
1464#41—44no—
1465#41—942no—
1466#41—942no—
1467#41—1881no—
1468#41—1881no—
1469#41—1881no—
1470#41—1881no—
1471#41—1881no—
1472#41—1881no—
1473#41—1881no—
1474#41—1881no—
1475#41—1881no—
1476#41—1881no—
1477#41—1884no—
1478C2×Q8—21no—
1479C2×Q8—41no—
1480C2×Q8—41no—
1481C2×Q8—471no—
1482C2×Q8—471no—
1483C2×Q8D4×D4711yescharacteristic
1484C2×Q8C23×D4711yescharacteristic
1485C2×Q8C23×D4711yescharacteristic
1486C2×Q8C23×D4711yescharacteristic
1487C2×D4—22no—
1488C2×D4—22no—
1489C2×D4—22no—
1490C2×D4—22no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—41no—
1498C2×D4—41no—
1499C2×D4—44no—
1500C2×D4—44no—
1501C2×D4—44no—
1502C2×D4—471no—
1503C2×D4—471no—
1504C2×D4—471no—
1505C2×D4—471no—
1506C2×D4—471no—
1507C2×D4—471no—
1508C2×D4—471no—
1509C2×D4—471no—
1510C2×D4—471no—
1511C2×D4—471no—
1512C2×D4—941no—
1513C2×D4—941no—
1514C2×D4—941no—
1515C2×D4—941no—
1516C2×D4—941no—
1517C2×D4—941no—
1518C2×D4—941no—
1519C2×D4—941no—
1520C2×D4—942no—
1521C2×D4—942no—
1522C2×D4—941no—
1523C2×D4—941no—
1524C2×D4—941no—
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—3762no—
1535C2×D4—3762no—
1536C2×D4—1881no—
1537C2×D4—1881no—
1538C2×D4—1881no—
1539C2×D4—1881no—
1540C2×D4—1884no—
1541C2×D4—1884no—
1542C2×D4—1884no—
1543C2×D4D4×D4711yescharacteristic
1544C2×D4D4×D4711yescharacteristic
1545C2×D4D4×D4711yescharacteristic
1546C2×D4C23×D4711yescharacteristic
1547C2×D4C23×D4711yescharacteristic
1548C2×D4C23×D4711yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—471no—
1554C22×C4—471no—
1555C22×C4—471no—
1556C22×C4—471no—
1557C22×C4—941no—
1558C22×C4—941no—
1559C22×C4—941no—
1560C22×C4—941no—
1561C22×C4—941no—
1562C22×C4—941no—
1563C22×C4—941no—
1564C22×C4—941no—
1565C22×C4—941no—
1566C22×C4—941no—
1567C22×C4—941no—
1568C22×C4—941no—
1569C22×C4—941no—
1570C22×C4—941no—
1571C22×C4—3762no—
1572C22×C4C23×D4711yescharacteristic
1573C22×C4C23×D4711yescharacteristic
1574C22×C4C23×D4711yescharacteristic
1575Q16—41no—
1576Q16—41no—
1577Q16—1881no—
1578Q16—1881no—
1579SD16—22no—
1580SD16—22no—
1581SD16—22no—
1582SD16—22no—
1583SD16—41no—
1584SD16—41no—
1585SD16—1881no—
1586SD16—1881no—
1587SD16—1881no—
1588SD16—1881no—
1589SD16—1881no—
1590SD16—1881no—
1591D8—942no—
1592D8—942no—
1593D8—942no—
1594D8—942no—
1595D8—1881no—
1596D8—1881no—
1597D8—1881no—
1598D8—1881no—
1599M16—41no—
1600M16—1881no—
1601M16—1881no—
1602M16—1881no—
1603C2×C8—41no—
1604C2×C8—471no—
1605C2×C8—471no—
1606C2×C8—471no—
1607C2×C8—471no—
1608C2×C8—1881no—
1609C2×C8—1881no—
1610C2×C8—1881no—
1611C2×C8C23×D4711yescharacteristic
1612C2×C8C23×D4711yescharacteristic
1613C2×C8C23×D4711yescharacteristic
1614C2×C8C23×D4711yescharacteristic
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—471no—
1620C4⋊C4—471no—
1621C4⋊C4—471no—
1622C4⋊C4—471no—
1623C4⋊C4—471no—
1624C4⋊C4—471no—
1625C4⋊C4—471no—
1626C4⋊C4—471no—
1627C4⋊C4—941no—
1628C4⋊C4—941no—
1629C4⋊C4—941no—
1630C4⋊C4—941no—
1631C4⋊C4—941no—
1632C4⋊C4—941no—
1633C4⋊C4—941no—
1634C4⋊C4—941no—
1635C4⋊C4—941no—
1636C4⋊C4—941no—
1637C4⋊C4—941no—
1638C4⋊C4—941no—
1639C4⋊C4—941no—
1640C4⋊C4—941no—
1641C4⋊C4—941no—
1642C4⋊C4—941no—
1643C4⋊C4—941no—
1644C4⋊C4C23×D4711yescharacteristic
1645C4⋊C4C23×D4711yescharacteristic
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—471no—
1652C22⋊C4—471no—
1653C22⋊C4—471no—
1654C22⋊C4—471no—
1655C22⋊C4—471no—
1656C22⋊C4—471no—
1657C22⋊C4—471no—
1658C22⋊C4—471no—
1659C22⋊C4—941no—
1660C22⋊C4—941no—
1661C22⋊C4—941no—
1662C22⋊C4—941no—
1663C22⋊C4—941no—
1664C22⋊C4—941no—
1665C22⋊C4—941no—
1666C22⋊C4—941no—
1667C22⋊C4—941no—
1668C22⋊C4—941no—
1669C22⋊C4—941no—
1670C22⋊C4—941no—
1671C22⋊C4—941no—
1672C22⋊C4—941no—
1673C22⋊C4—941no—
1674C22⋊C4—941no—
1675C22⋊C4—941no—
1676C22⋊C4—941no—
1677C22⋊C4—941no—
1678C22⋊C4—941no—
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—
1690C42—21no—
1691C42—471no—
1692C42—471no—
1693C42—471no—
1694C42—471no—
1695C42—941no—
1696C42—941no—
1697C42—941no—
1698C23—24no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—42no—
1703C23—42no—
1704C23—81no—
1705C23—81no—
1706C23—81no—
1707C23—81no—
1708C23—81no—
1709C23—81no—
1710C23—471no—
1711C23—471no—
1712C23—941no—
1713C23—941no—
1714C23—941no—
1715C23—3761no—
1716C23—3761no—
1717C23—3761no—
1718C23—3761no—
1719C23—3761no—
1720C23—3761no—
1721C23—3761no—
1722C23—1882no—
1723C23—1882no—
1724C23C2×D4×D4711yescharacteristic
1725C23C2×D4×D4711yescharacteristic
1726C23C2×D4×D4711yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—21no—
1730Q8—21no—
1731Q8—21no—
1732Q8—21no—
1733Q8—41no—
1734Q8—81no—
1735Q8—941no—
1736Q8—941no—
1737Q8—1881no—
1738D4—24no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—41no—
1744D4—41no—
1745D4—41no—
1746D4—42no—
1747D4—42no—
1748D4—42no—
1749D4—42no—
1750D4—42no—
1751D4—941no—
1752D4—941no—
1753D4—941no—
1754D4—941no—
1755D4—941no—
1756D4—941no—
1757D4—3761no—
1758D4—3761no—
1759D4—3761no—
1760D4—3761no—
1761D4—3761no—
1762D4—3761no—
1763D4—3761no—
1764D4—3761no—
1765D4—3761no—
1766D4—3761no—
1767D4—3761no—
1768D4—3761no—
1769D4—3761no—
1770D4—3761no—
1771D4—1881no—
1772D4—1881no—
1773D4—1881no—
1774D4—1881no—
1775D4—1881no—
1776D4—1881no—
1777D4—1881no—
1778D4—1882no—
1779D4—1882no—
1780D4—1882no—
1781D4—1882no—
1782D4—1882no—
1783D4—1882no—
1784D4#1309406912yes—
1785D4#1309406912yes—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—42no—
1798C2×C4—42no—
1799C2×C4—42no—
1800C2×C4—81no—
1801C2×C4—471no—
1802C2×C4—471no—
1803C2×C4—471no—
1804C2×C4—471no—
1805C2×C4—471no—
1806C2×C4—471no—
1807C2×C4—941no—
1808C2×C4—941no—
1809C2×C4—941no—
1810C2×C4—941no—
1811C2×C4—941no—
1812C2×C4—941no—
1813C2×C4—941no—
1814C2×C4—941no—
1815C2×C4—941no—
1816C2×C4—3761no—
1817C2×C4—3761no—
1818C2×C4—3761no—
1819C2×C4—3761no—
1820C2×C4—3761no—
1821C2×C4—3761no—
1822C2×C4—3761no—
1823C2×C4—3761no—
1824C2×C4—3761no—
1825C2×C4—1882no—
1826C2×C4—1881no—
1827C2×C4—1881no—
1828C2×C4—1882no—
1829C2×C4—1882no—
1830C2×C4—1882no—
1831C2×C4—1882no—
1832C2×C4C2×D4×D4711yescharacteristic
1833C2×C4C2×D4×D4711yescharacteristic
1834C2×C4C2×D4×D4711yescharacteristic
1835C2×C4C24×D4711yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—941no—
1841C8—941no—
1842C8—941no—
1843C8—941no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—22no—
1854C22—22no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—84no—
1863C22—162no—
1864C22—162no—
1865C22—941no—
1866C22—941no—
1867C22—941no—
1868C22—941no—
1869C22—941no—
1870C22—941no—
1871C22—1881no—
1872C22—1881no—
1873C22—1881no—
1874C22—1881no—
1875C22—1881no—
1876C22—1881no—
1877C22—1881no—
1878C22—1881no—
1879C22—1881no—
1880C22—7522no—
1881C22—7522no—
1882C22—7522no—
1883C22C22×D4×D4711yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—941no—
1893C4—941no—
1894C4—941no—
1895C4—941no—
1896C4—941no—
1897C4—941no—
1898C4—1881no—
1899C4—1881no—
1900C4—1881no—
1901C4—1881no—
1902C4—1881no—
1903C4C2×#1309406911yescharacteristic
1904C4C2×#1309406911yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—41no—
1908C2—42no—
1909C2—42no—
1910C2—81no—
1911C2—3761no—
1912C2—3761no—
1913C2—3761no—
1914C2—1881no—
1915C2—1881no—
1916C2#2025701711yescharacteristic
1917C2#2025816011yescharacteristic
1918C2#2025816611yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3009C2
socleC22×C47C23×D4
hypercenter#3009D47
hypocenterC47#61678
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3009

Complements

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

NH ≅ G/Ntype
1. #20257817C2semidirect
2. #20257147C2semidirect
3. #20255608C2semidirect
4. #20255585C2semidirect
5. #20255530C2semidirect
6. #20255488C2semidirect
7. #20255402C2semidirect
8. #20255360C2semidirect
9. #20255239C2semidirect
10. #20255216C2semidirect
11. #20255095C2semidirect
12. #20255066C2semidirect
13. #20255013C2semidirect
14. #20254992C2semidirect
15. #20254937C2semidirect
16. #20254916C2semidirect
17. #20254883C2semidirect
18. #20254872C2semidirect
19. #20254429C2semidirect
20. #20254367C2semidirect
21. #20254296C2semidirect
22. #20254289C2semidirect
23. #20254270C2semidirect
24. #20254242C2semidirect
25. #20253527C2semidirect
26. #20253436C2semidirect
27. #20252693C2semidirect
28. #20252693C2semidirect
29. #20252656C2semidirect
30. #20252461C2semidirect
31. C47×#3009C2semidirect
32. C2×#13094069C22semidirect
33. C2×#13094051C22semidirect
34. C2×#13094051C22semidirect
35. C2×#13094049C22semidirect
36. C2×#13094045C22semidirect
37. C2×#13094045C22semidirect
38. C22×#10625334C22semidirect
42. #15689817C22semidirect
43. #15689817C22semidirect
44. #15689807C22semidirect
45. #15689807C22semidirect
47. #15689784C22semidirect
48. #15689784C22semidirect
51. #15689772C22semidirect
54. #15689767C22semidirect
55. #15689764C22semidirect
56. #15689764C22semidirect
59. #15689761C22semidirect
62. D4×C22⋊D47C22semidirect
67. #15689703C22semidirect
68. #15689703C22semidirect
70. #15689701C22semidirect
71. #15689687C22semidirect
75. #15689669C22semidirect
76. #15689659C22semidirect
77. #15689659C22semidirect
80. C2×D4×Dic47C22semidirect
81. #15689516C22semidirect
82. #15689509C22semidirect
83. #15689508C22semidirect
84. #15689504C22semidirect
85. #15689490C22semidirect
86. #15689486C22semidirect
87. #15689479C22semidirect
88. #15689476C22semidirect
89. #15689465C22semidirect
90. #15689464C22semidirect
91. #15689457C22semidirect
92. #15689456C22semidirect
93. #15689452C22semidirect
94. #15689451C22semidirect
95. #15689448C22semidirect
96. #15689447C22semidirect
97. #15689442C22semidirect
98. #15689440C22semidirect
99. #15689437C22semidirect
100. #15689435C22semidirect
101. #15689425C22semidirect
102. #15689425C22semidirect
103. #15689421C22semidirect
104. #15689421C22semidirect
105. #15689379C22semidirect
106. #15689378C22semidirect
107. #15689376C22semidirect
108. #15689375C22semidirect
109. #15689372C22semidirect
110. #15689371C22semidirect
111. #15689369C22semidirect
112. #15689366C22semidirect
113. #15689362C22semidirect
114. #15689361C22semidirect
115. #15689359C22semidirect
116. #15689358C22semidirect
117. #15689355C22semidirect
118. #15689354C22semidirect
119. #15689352C22semidirect
120. #15689349C22semidirect
121. #15689347C22semidirect
122. #15689343C22semidirect
123. #15689341C22semidirect
124. #15689340C22semidirect
125. #15689340C22semidirect
126. #15689340C22semidirect
127. #15689340C22semidirect
128. #15689337C22semidirect
129. #15689331C22semidirect
130. #15689327C22semidirect
131. #15689321C22semidirect
132. #15689317C22semidirect
133. #15689284C22semidirect
134. #15689284C22semidirect
135. #15689283C22semidirect
136. #15689283C22semidirect
137. #15689282C22semidirect
138. #15689282C22semidirect
139. #15689279C22semidirect
140. #15689276C22semidirect
141. #15689272C22semidirect
142. #15689272C22semidirect
143. #15689270C22semidirect
144. #15689270C22semidirect
145. #15689269C22semidirect
146. #15689269C22semidirect
147. #15689268C22semidirect
148. #15689268C22semidirect
149. #15689268C22semidirect
150. #15689268C22semidirect
151. #15689267C22semidirect
152. #15689267C22semidirect
153. #15689262C22semidirect
154. #15689259C22semidirect
155. #15689258C22semidirect
156. #15689258C22semidirect
159. #15689257C22semidirect
160. #15689257C22semidirect
161. #15689232C22semidirect
162. #15689232C22semidirect
163. #15689224C22semidirect
164. #15689224C22semidirect
165. SD16×Dic47C22semidirect
166. SD16×Dic47C22semidirect
167. #15689203C22semidirect
168. #15689203C22semidirect
169. #15689199C22semidirect
170. #15689198C22semidirect
171. #15689197C22semidirect
172. #15689194C22semidirect
173. #15689192C22semidirect
174. #15689191C22semidirect
175. C8×C22⋊D47C22semidirect
176. (C22⋊D47)⋊C8C22semidirect
177. #15689177C22semidirect
178. #15689173C22semidirect
179. #15689128C22semidirect
180. #15689121C22semidirect
181. #15689121C22semidirect
182. #15689119C22semidirect
183. #102×D47C22semidirect
184. #102×D47C22semidirect
185. #15689090C22semidirect
186. #15689088C22semidirect
187. #15689088C22semidirect
189. C2×#137×C47C22semidirect
190. C22×SD16×C47C22semidirect
191. C47×#536C22semidirect
192. C47×#452C22semidirect
193. C47×#452C22semidirect
194. C47×#452C22semidirect
195. C47×#452C22semidirect
196. C47×#450C22semidirect
197. C47×#450C22semidirect
198. C47×#450C22semidirect
199. C47×#450C22semidirect
200. C47×#418C22semidirect
201. C47×#416C22semidirect
202. C47×#408C22semidirect
974. #3009D47semidirect
993. C2×#137C2×D47semidirect
999. C22×SD16C2×D47semidirect
1033. #536C2×D47semidirect
1102. #452C2×D47semidirect
1103. #452C2×D47semidirect
1104. #452C2×D47semidirect
1105. #452C2×D47semidirect
1110. #450C2×D47semidirect
1111. #450C2×D47semidirect
1112. #450C2×D47semidirect
1113. #450C2×D47semidirect
1151. #418C2×D47semidirect
1155. #416C2×D47semidirect
1161. #408C2×D47semidirect
1162. C47#61678semidirect

Maximal subgroups

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

subgroupindex
#202578172
#202571472
#202556082
#202555852
#202555302
#202554882
#202554022
#202553602
#202552392
#202552162
#202550952
#202550662
#202550132
#202549922
#202549372
#202549162
#202548832
#202548722
#202544292
#202543672
#202542962
#202542892
#202542702
#202542422
#202535272
#202534362
#202526932
#202526562
#202524612
C47×#30092
#6167847