Finite Group Databasebeta

← #27102427

Subgroups — #27102427

Order 12032.

2070 conjugacy classes of subgroups.

The subgroup lattice has 1886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257641C211yesmaximal, characteristic, complemented
2#20257028C211yesmaximal, characteristic, complemented
3#20255485C211yesmaximal, characteristic, complemented
4#20255477C211yesmaximal, characteristic, complemented
5#20255365C211yesmaximal, characteristic, complemented
6#20255357C211yesmaximal, characteristic, complemented
7#20255242C211yesmaximal, characteristic, complemented
8#20255234C211yesmaximal, characteristic, complemented
9#20255227C211yesmaximal, characteristic, complemented
10#20255219C211yesmaximal, characteristic, complemented
11#20255116C211yesmaximal, characteristic, complemented
12#20255112C211yesmaximal, characteristic, complemented
13#20255104C211yesmaximal, characteristic, complemented
14#20255103C211yesmaximal, characteristic, complemented
15#20254926C211yesmaximal, characteristic, complemented
16#20254922C211yesmaximal, characteristic, complemented
17#20254911C211yesmaximal, characteristic, complemented
18#20254907C211yesmaximal, characteristic, complemented
19#20254469C211yesmaximal, characteristic, complemented
20#20254447C211yesmaximal, characteristic, complemented
21#20254272C211yesmaximal, characteristic, complemented
22#20254264C211yesmaximal, characteristic, complemented
23#20254180C211yesmaximal, characteristic, complemented
24#20254178C211yesmaximal, characteristic, complemented
25#20253634C211yesmaximal, characteristic, complemented
26#20253625C211yesmaximal, characteristic, complemented
27#20252692C211yesmaximal, characteristic, complemented
28#20252607C211yesmaximal, characteristic, complemented
29#20252601C211yesmaximal, characteristic, complemented
30#20252440C211yesmaximal, characteristic, complemented
31C47×#3012C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33C2×#13094050C2211yescharacteristic, complemented
34C2×#13094045C2211yescharacteristic, complemented
35C2×#13094045C2211yescharacteristic, complemented
36C2×#13094044C2211yescharacteristic, complemented
37C2×#13094043C2211yescharacteristic, complemented
38C2×#13094043C2211yescharacteristic, complemented
39#15689861—21no—
40#15689861—21no—
41#15689825C2211yescharacteristic, complemented
42#15689821C2211yescharacteristic, complemented
43#15689820—21no—
44#15689816—21no—
45#15689815C2211yescharacteristic, complemented
46#15689808C2211yescharacteristic, complemented
47#15689792C2211yescharacteristic, complemented
48#15689791C2211yescharacteristic, complemented
49#15689775C2211yescharacteristic, complemented
50#15689772—21no—
51#15689772—21no—
52#15689772C2211yescharacteristic
53#15689772C2211yescharacteristic
54#15689772C2211yescharacteristic
55#15689772C2211yescharacteristic
56#15689772C2211yescharacteristic, complemented
57#15689767—21no—
58#15689767—21no—
59#15689767C2211yescharacteristic
60#15689767C2211yescharacteristic
61#15689767C2211yescharacteristic
62#15689767C2211yescharacteristic
63#15689733C2211yescharacteristic, complemented
64#15689726—21no—
65#15689726C2211yescharacteristic, complemented
66#15689723—21no—
67#15689722—21no—
68#15689719—21no—
69#15689701C2211yescharacteristic
70#15689694C2211yescharacteristic
71#15689694C2211yescharacteristic
72#15689682—21no—
73#15689682—21no—
74#15689636C2211yescharacteristic, complemented
75#15689633C2211yescharacteristic, complemented
76#15689630C2211yescharacteristic
77#15689630C2211yescharacteristic
78C2×#13094005—21no—
79C2×#13094005—21no—
80#15689598C2211yescharacteristic
81#15689514C2211yescharacteristic, complemented
82#15689511C2211yescharacteristic, complemented
83#15689501C2211yescharacteristic, complemented
84#15689494C2211yescharacteristic, complemented
85#15689490C2211yescharacteristic, complemented
86#15689490C2211yescharacteristic, complemented
87#15689476C2211yescharacteristic, complemented
88#15689476C2211yescharacteristic, complemented
89#15689465C2211yescharacteristic, complemented
90#15689463C2211yescharacteristic, complemented
91#15689462C2211yescharacteristic, complemented
92#15689461C2211yescharacteristic, complemented
93#15689459C2211yescharacteristic, complemented
94#15689458C2211yescharacteristic, complemented
95#15689454C2211yescharacteristic, complemented
96#15689453C2211yescharacteristic, complemented
97#15689448C2211yescharacteristic, complemented
98#15689446C2211yescharacteristic, complemented
99#15689445C2211yescharacteristic, complemented
100#15689444C2211yescharacteristic, complemented
101#15689425C2211yescharacteristic, complemented
102#15689425C2211yescharacteristic, complemented
103#15689421C2211yescharacteristic, complemented
104#15689421C2211yescharacteristic, complemented
105#15689381C2211yescharacteristic, complemented
106#15689379C2211yescharacteristic, complemented
107#15689369C2211yescharacteristic, complemented
108#15689367C2211yescharacteristic, complemented
109#15689364C2211yescharacteristic, complemented
110#15689363C2211yescharacteristic, complemented
111#15689362C2211yescharacteristic, complemented
112#15689361C2211yescharacteristic, complemented
113#15689358C2211yescharacteristic, complemented
114#15689356C2211yescharacteristic, complemented
115#15689355C2211yescharacteristic, complemented
116#15689352C2211yescharacteristic, complemented
117#15689351C2211yescharacteristic, complemented
118#15689350C2211yescharacteristic, complemented
119#15689349C2211yescharacteristic, complemented
120#15689349C2211yescharacteristic, complemented
121#15689344C2211yescharacteristic, complemented
122#15689343C2211yescharacteristic, complemented
123#15689337C2211yescharacteristic, complemented
124#15689336C2211yescharacteristic, complemented
125#15689332C2211yescharacteristic, complemented
126#15689331C2211yescharacteristic, complemented
127#15689327C2211yescharacteristic, complemented
128#15689326C2211yescharacteristic, complemented
129#15689326C2211yescharacteristic, complemented
130#15689326C2211yescharacteristic, complemented
131#15689316C2211yescharacteristic, complemented
132#15689316C2211yescharacteristic, complemented
133#15689287C2211yescharacteristic, complemented
134#15689287C2211yescharacteristic, complemented
135#15689286C2211yescharacteristic, complemented
136#15689286C2211yescharacteristic, complemented
137#15689285C2211yescharacteristic
138#15689285C2211yescharacteristic, complemented
139#15689285C2211yescharacteristic, complemented
140#15689285C2211yescharacteristic, complemented
141#15689284C2211yescharacteristic, complemented
142#15689282C2211yescharacteristic, complemented
143#15689282C2211yescharacteristic, complemented
144#15689282C2211yescharacteristic, complemented
145#15689281C2211yescharacteristic, complemented
146#15689278C2211yescharacteristic, complemented
147#15689274C2211yescharacteristic
148#15689274C2211yescharacteristic, complemented
149#15689269C2211yescharacteristic, complemented
150#15689269C2211yescharacteristic, complemented
151#15689268C2211yescharacteristic
152#15689268C2211yescharacteristic, complemented
153#15689267C2211yescharacteristic, complemented
154#15689265C2211yescharacteristic, complemented
155#15689265C2211yescharacteristic, complemented
156#15689265C2211yescharacteristic, complemented
157#15689264C2211yescharacteristic, complemented
158#15689261C2211yescharacteristic, complemented
159#15689257C2211yescharacteristic
160#15689257C2211yescharacteristic, complemented
161#15689235C2211yescharacteristic, complemented
162#15689232C2211yescharacteristic, complemented
163#15689224C2211yescharacteristic, complemented
164#15689220C2211yescharacteristic, complemented
165#15689214C2211yescharacteristic, complemented
166SD16×Dic47C2211yescharacteristic, complemented
167D8×Dic47C2211yescharacteristic, complemented
168#15689203C2211yescharacteristic, complemented
169#15689197C2211yescharacteristic, complemented
170#15689197C2211yescharacteristic, complemented
171#15689192C2211yescharacteristic, complemented
172#15689192C2211yescharacteristic, complemented
173C8×C22⋊D47C2211yescharacteristic, complemented
174C8×C22⋊D47C2211yescharacteristic, complemented
175(C22⋊D47)⋊C8C2211yescharacteristic, complemented
176(C22⋊D47)⋊C8C2211yescharacteristic, complemented
177#15689181C2211yescharacteristic, complemented
178#15689181C2211yescharacteristic, complemented
179#15689124C2211yescharacteristic, complemented
180#15689116C2211yescharacteristic, complemented
181#15689116C2211yescharacteristic, complemented
182#15689116C2211yescharacteristic, complemented
183#15689116C2211yescharacteristic, complemented
184C2×#13093945C2211yescharacteristic, complemented
185#15689090C2211yescharacteristic
186C22⋊C8×D47C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C2×H(5,𝔽2)×C47C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
190C2×#135×C47C2211yescharacteristic, complemented
191C47×#537C2211yescharacteristic
192C47×#452C2211yescharacteristic
193C47×#452C2211yescharacteristic, complemented
194C47×#450C2211yescharacteristic
195C47×#450C2211yescharacteristic, complemented
196C47×#449C2211yescharacteristic
197C47×#449C2211yescharacteristic, complemented
198C47×#447C2211yescharacteristic
199C47×#447C2211yescharacteristic, complemented
200C47×#417C2211yescharacteristic, complemented
201C2×#102×C47C2211yescharacteristic, complemented
202C47×#408C2211yescharacteristic
203C2×#10625354C2311yescharacteristic
204C2×#10625350C2311yescharacteristic
205C2×#10625352—21no—
206C2×#10625352—21no—
207C2×#10625352—42no—
208C2×#10625352—42no—
209C2×#10625352C2311yescharacteristic
210C2×#10625352C2311yescharacteristic
211C2×#10625352C2311yescharacteristic
212C2×#10625352C2311yescharacteristic
213C2×#10625352C2311yescharacteristic
214C22×Dic94C2311yescharacteristic
215C22×C22⋊D47—21no—
216C23×Dic47—21no—
217C22×C4×D47C2311yescharacteristic
218#13094050—42no—
219#13094045—42no—
220#13094045—42no—
221#13094044—42no—
222#13094043—42no—
223#13094043—42no—
224C2×Dic188C2311yescharacteristic
225C2×Dic188C2311yescharacteristic
226C2×#10625337C2311yescharacteristic
227C2×#10625337C2311yescharacteristic
228C2×#10625337C2311yescharacteristic
229C2×#10625325C2311yescharacteristic
230C2×#10625325C2311yescharacteristic
231C2×#10625335C2311yescharacteristic
232C2×#10625335C2311yescharacteristic
233C2×#10625335C2311yescharacteristic
234C2×#10625335C2311yescharacteristic
235C2×#10625335C2311yescharacteristic
236C2×#10625336C2311yescharacteristic
237C2×#10625334C2311yescharacteristic
238C2×#10625334C2311yescharacteristic
239C2×#10625334C2311yescharacteristic
240C2×#10625329C2311yescharacteristic
241C22×C47⋊C8C2311yescharacteristic
242C2×C8×D47C2311yescharacteristic
243C2×C8×D47C2311yescharacteristic
244C2×C8×D47C2311yescharacteristic
245C2×C8×D47C2311yescharacteristic
246#13094022—21no—
247#13094022C2311yescharacteristic
248#13094022C2311yescharacteristic
249#13094022C2311yescharacteristic
250#13094020—21no—
251#13094020—21no—
252#13094020C2311yescharacteristic
253#13094019—21no—
254#13094019—21no—
255#13094019—21no—
256#13094017—21no—
257#13094017—21no—
258#13094017—21no—
259#13094015—21no—
260#13094015—21no—
261#13094015C2311yescharacteristic
262#13094015C2311yescharacteristic
263#13094014—21no—
264#13094014—21no—
265#13094011—21no—
266#13094011C2311yescharacteristic
267#13094011C2311yescharacteristic
268#13094009—21no—
269#13094009—21no—
270#13094009—21no—
271#13094008—21no—
272#13094008—21no—
273#13094008—21no—
274#13094007—21no—
275#13094007—21no—
276#13094007—21no—
277#13094007—21no—
278#13094007—21no—
279#13094007—21no—
280#13094006—21no—
281#13094006—21no—
282#13094006—21no—
283#13094005—21no—
284#13094005—21no—
285#13094005—21no—
286#13094005—21no—
287#13094005—21no—
288#13094005—21no—
289#13094005—21no—
290#13094005—21no—
291#13094005—21no—
292#13094005—21no—
293#13094005—21no—
294#13094005—21no—
295#13094005—21no—
296#13094005—21no—
297#13094005D411yescharacteristic
298#13094005D411yescharacteristic
299#13094004C2311yescharacteristic
300#13094003—21no—
301#13094003—21no—
302#13094003C2311yescharacteristic
303#13094003C2311yescharacteristic
304#13094003C2311yescharacteristic
305#13094003C2311yescharacteristic
306#13094003C2311yescharacteristic
307#13094003C2311yescharacteristic
308#13094000—21no—
309#13094000D411yescharacteristic
310#13094000D411yescharacteristic
311#13094000C2311yescharacteristic
312#13094000C2311yescharacteristic
313#13094000C2311yescharacteristic
314#13093999C2311yescharacteristic
315#13093998—21no—
316#13093998—21no—
317#13093998C2311yescharacteristic
318#13093998C2311yescharacteristic
319#13093997—21no—
320#13093997—21no—
321#13093996—21no—
322#13093996—21no—
323#13093996—21no—
324#13093996—21no—
325#13093996—21no—
326#13093996—21no—
327#13093996—21no—
328#13093996—21no—
329#13093996—21no—
330#13093996—21no—
331#13093996—21no—
332#13093996—21no—
333#13093996—21no—
334#13093996—21no—
335#13093995—21no—
336#13093995—21no—
337#13093995—21no—
338#13093995D411yescharacteristic
339#13093995D411yescharacteristic
340#13093995C2311yescharacteristic
341#13093995C2311yescharacteristic
342#13093995C2311yescharacteristic
343#13093994—21no—
344#13093993—21no—
345#13093993—21no—
346#13093993—21no—
347#13093993—21no—
348#13093992—21no—
349#13093992—21no—
350#13093992D411yescharacteristic
351#13093992D411yescharacteristic
352Q8×Dic47C2311yescharacteristic
353#13093989C2311yescharacteristic
354D4×Dic47—21no—
355D4×Dic47—21no—
356D4×Dic47—21no—
357D4×Dic47—21no—
358D4×Dic47C2311yescharacteristic
359D4×Dic47C2311yescharacteristic
360D4×Dic47C2311yescharacteristic
361D4×Dic47C2311yescharacteristic
362D4×Dic47C2311yescharacteristic
363#13093986—21no—
364#13093986C2311yescharacteristic
365C4×C22⋊D47—21no—
366C4×C22⋊D47—21no—
367C4×C22⋊D47—21no—
368C4×C22⋊D47—21no—
369C4×C22⋊D47C2311yescharacteristic
370C4×C22⋊D47C2311yescharacteristic
371C4×C22⋊D47C2311yescharacteristic
372C4×C22⋊D47C2311yescharacteristic
373(C22⋊D47)⋊C4—21no—
374(C22⋊D47)⋊C4—21no—
375(C22⋊D47)⋊C4—21no—
376#13093983—21no—
377#13093983C2311yescharacteristic
378#13093983C2311yescharacteristic
379#13093982C2311yescharacteristic
380#13093982C2311yescharacteristic
381#13093980—21no—
382C2×C4⋊Dic47C2311yescharacteristic
383C2×Dic47⋊C4—21no—
384C2×Dic47⋊C4—21no—
385C2×Dic47⋊C4—21no—
386C2×Dic47⋊C4—21no—
387C2×Dic47⋊C4—21no—
388C4⋊C4×D47—21no—
389C2×C22⋊Dic47—21no—
390C2×C22⋊Dic47—21no—
391C2×C22⋊Dic47—21no—
392C2×C22⋊Dic47—21no—
393C2×C22⋊Dic47—21no—
394C2×C22⋊Dic47—21no—
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#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093948C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093947C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093945C2311yescharacteristic
430#13093945C2311yescharacteristic
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
450C2×#41×C47C2311yescharacteristic
451C22×D4×C47—21no—
452C22×D4×C47—21no—
453C22×D4×C47—21no—
454C22×D4×C47C2311yescharacteristic
455C22×D4×C47C2311yescharacteristic
456C22×D4×C47C2311yescharacteristic
457AGL(1,ℤ/8)×C47—42no—
458#135×C47—42no—
459C2×Q16×C47C2311yescharacteristic
460C2×SD16×C47C2311yescharacteristic
461C2×SD16×C47C2311yescharacteristic
462C2×SD16×C47C2311yescharacteristic
463C2×SD16×C47C2311yescharacteristic
464C2×D8×C47C2311yescharacteristic
465C2×D8×C47C2311yescharacteristic
466C2×D8×C47C2311yescharacteristic
467C2×M16×C47C2311yescharacteristic
468C22×C8×C47C2311yescharacteristic
469C22⋊Q8×C47—21no—
470C22⋊Q8×C47C2311yescharacteristic
471C22⋊Q8×C47C2311yescharacteristic
472#121×C47—21no—
473#121×C47—21no—
474#121×C47—21no—
475#121×C47C2311yescharacteristic
476#121×C47C2311yescharacteristic
477C2×C4⋊C4×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×D47C2×D411yescharacteristic
494#41×C47—22no—
495#41×C47—22no—
496#41×C47—41no—
497#41×C47—41no—
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×C47C2×D411yescharacteristic
506C2×Q8×C47C2411yescharacteristic
507C2×Q8×C47C2411yescharacteristic
508C2×D4×C47—22no—
509C2×D4×C47—22no—
510C2×D4×C47—22no—
511C2×D4×C47—22no—
512C2×D4×C47—21no—
513C2×D4×C47—21no—
514C2×D4×C47—21no—
515C2×D4×C47—21no—
516C2×D4×C47—21no—
517C2×D4×C47—21no—
518C2×D4×C47—21no—
519C2×D4×C47—21no—
520C2×D4×C47—21no—
521C2×D4×C47—41no—
522C2×D4×C47—41no—
523C2×D4×C47—44no—
524C2×D4×C47—44no—
525C2×D4×C47—44no—
526C2×D4×C47C2×D411yescharacteristic
527C2×D4×C47C2×D411yescharacteristic
528C2×D4×C47C2×D411yescharacteristic
529C2×D4×C47C2411yescharacteristic
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×C47—21no—
538C22×C4×C47C2411yescharacteristic
539C22×C4×C47C2411yescharacteristic
540C22×C4×C47C2411yescharacteristic
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—44no—
555C2×C22⋊D47C2×D411yescharacteristic
556C2×C22⋊D47C2×D411yescharacteristic
557C2×C22⋊D47C2×D411yescharacteristic
558C2×C22⋊D47C2×D411yescharacteristic
559C22×Dic47—21no—
560C22×Dic47—21no—
561C22×Dic47—21no—
562C22×Dic47—21no—
563C22×Dic47—21no—
564C22×Dic47—21no—
565C22×Dic47—21no—
566C22×Dic47—21no—
567C22×Dic47—21no—
568C22×Dic47—21no—
569C22×Dic47—21no—
570C22×Dic47—21no—
571C22×Dic47—44no—
572C22×Dic47C2×D411yescharacteristic
573#10625354—41no—
574#10625354—41no—
575#10625352—22no—
576#10625352—22no—
577#10625352—22no—
578#10625352—22no—
579#10625352—41no—
580#10625352—41no—
581#10625352—41no—
582#10625352—41no—
583#10625352—41no—
584#10625352—41no—
585#10625352—44no—
586#10625352—44no—
587#10625350—41no—
588#10625350—41no—
589C2×D188—21no—
590C2×D188—21no—
591C2×D188C2411yescharacteristic
592C2×C4×D47—21no—
593C2×C4×D47—21no—
594C2×C4×D47—21no—
595C2×C4×D47—41no—
596C2×C4×D47—41no—
597C2×C4×D47C2×D411yescharacteristic
598C2×C4×D47C2×D411yescharacteristic
599C2×C4×D47C2411yescharacteristic
600C2×C4×D47C2411yescharacteristic
601C2×Dic94—21no—
602C2×Dic94—41no—
603C2×Dic94—41no—
604C2×Dic94C2411yescharacteristic
605C2×Dic94C2411yescharacteristic
606C2×Dic94C2411yescharacteristic
607Q16×C47—41no—
608SD16×C47—22no—
609SD16×C47—22no—
610SD16×C47—41no—
611SD16×C47—41no—
612D8×C47—22no—
613D8×C47—22no—
614D8×C47—41no—
615M16×C47—41no—
616C2×C8×C47—41no—
617C2×C8×C47C2411yescharacteristic
618C2×C8×C47C2411yescharacteristic
619C2×C8×C47C2411yescharacteristic
620C2×C8×C47C2411yescharacteristic
621C4⋊C4×C47—21no—
622C4⋊C4×C47—21no—
623C4⋊C4×C47—21no—
624C4⋊C4×C47C2411yescharacteristic
625C4⋊C4×C47C2411yescharacteristic
626C22⋊C4×C47—21no—
627C22⋊C4×C47—21no—
628C22⋊C4×C47—21no—
629C22⋊C4×C47—21no—
630C22⋊Dic47—21no—
631C22⋊Dic47—21no—
632C22⋊Dic47—21no—
633C22⋊Dic47—21no—
634C22⋊Dic47—21no—
635C22⋊Dic47—21no—
636C22⋊Dic47—21no—
637C22⋊Dic47—21no—
638C22⋊Dic47—21no—
639C22⋊Dic47—21no—
640C22⋊Dic47—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⋊Dic47C2×D411yescharacteristic
650C22⋊Dic47C2×D411yescharacteristic
651C22⋊Dic47C2×D411yescharacteristic
652C22⋊Dic47C2×D411yescharacteristic
653C22⋊Dic47C2×D411yescharacteristic
654C22⋊Dic47C2×D411yescharacteristic
655#10625337—41no—
656#10625337—41no—
657#10625337—41no—
658#10625336—41no—
659#10625335—22no—
660#10625335—22no—
661#10625335—41no—
662#10625335—41no—
663#10625335—41no—
664#10625334—22no—
665#10625334—22no—
666#10625334—41no—
667(C2×D47)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
678(C2×D47)⋊C4C2×D411yescharacteristic
679(C2×D47)⋊C4C2×D411yescharacteristic
680(C2×D47)⋊C4C2×D411yescharacteristic
681C4⋊Dic47—21no—
682C4⋊Dic47—21no—
683C4⋊Dic47—21no—
684C4⋊Dic47—21no—
685C4⋊Dic47—21no—
686C4⋊Dic47C2×D411yescharacteristic
687C4⋊Dic47C2×D411yescharacteristic
688C4⋊Dic47C2411yescharacteristic
689C4⋊Dic47C2411yescharacteristic
690C4⋊Dic47C2411yescharacteristic
691C4⋊Dic47C2411yescharacteristic
692Dic47⋊C4—21no—
693Dic47⋊C4—21no—
694Dic47⋊C4—21no—
695Dic47⋊C4—21no—
696Dic47⋊C4—21no—
697Dic47⋊C4—21no—
698Dic47⋊C4—21no—
699Dic47⋊C4—21no—
700Dic47⋊C4—21no—
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⋊C4C2×D411yescharacteristic
711Dic47⋊C4C2×D411yescharacteristic
712Dic47⋊C4C2×D411yescharacteristic
713Dic47⋊C4C2×D411yescharacteristic
714C4×Dic47—21no—
715C4×Dic47—21no—
716C4×Dic47—21no—
717C4×Dic47—21no—
718C4×Dic47—21no—
719C4×Dic47C2411yescharacteristic
720C4×Dic47C2411yescharacteristic
721#10625329—41no—
722C2×C47⋊C8—41no—
723C2×C47⋊C8C2411yescharacteristic
724C2×C47⋊C8C2411yescharacteristic
725C2×C47⋊C8C2411yescharacteristic
726C2×C47⋊C8C2411yescharacteristic
727Dic188—41no—
728Dic188—41no—
729#10625325—41no—
730#10625325—41no—
731C8×D47—41no—
732C8×D47—41no—
733C8×D47—41no—
734C8×D47—41no—
735C23×C47—24no—
736C23×C47—21no—
737C23×C47—21no—
738C23×C47—21no—
739C23×C47—21no—
740C23×C47—42no—
741C23×C47—42no—
742C23×C47—81no—
743C23×C47—81no—
744C23×C47—81no—
745C23×C47—81no—
746C23×C47—81no—
747C23×C47—81no—
748C23×C47C22×D411yescharacteristic
749C23×C47C22×D411yescharacteristic
750C23×C47C22×D411yescharacteristic
751C22×D47—21no—
752C22×D47—41no—
753C22×D47—41no—
754C22×D47—41no—
755C22×D47C22×D411yescharacteristic
756C22×D47C22×D411yescharacteristic
757Q8×C47—21no—
758Q8×C47—21no—
759Q8×C47—21no—
760Q8×C47—21no—
761Q8×C47—41no—
762D4×C47—24no—
763D4×C47—21no—
764D4×C47—21no—
765D4×C47—21no—
766D4×C47—21no—
767D4×C47—21no—
768D4×C47—21no—
769D4×C47—41no—
770D4×C47—41no—
771D4×C47—41no—
772D4×C47—42no—
773D4×C47—42no—
774D4×C47—42no—
775D4×C47—42no—
776D4×C47—42no—
777D4×C47—81no—
778D4×C47—81no—
779D4×C47—81no—
780D4×C47H(5,𝔽2)12yes—
781D4×C47H(5,𝔽2)12yes—
782C2×C4×C47—21no—
783C2×C4×C47—21no—
784C2×C4×C47—21no—
785C2×C4×C47—21no—
786C2×C4×C47—21no—
787C2×C4×C47—21no—
788C2×C4×C47—21no—
789C2×C4×C47—21no—
790C2×C4×C47—21no—
791C2×C4×C47—21no—
792C2×C4×C47—42no—
793C2×C4×C47—42no—
794C2×C4×C47—42no—
795C2×C4×C47—81no—
796C2×C4×C47—81no—
797C2×C4×C47C22×D411yescharacteristic
798C2×C4×C47C22×D411yescharacteristic
799C2×C4×C47C22×D411yescharacteristic
800C2×C4×C47C2511yescharacteristic
801C22⋊D47—41no—
802C22⋊D47—41no—
803C22⋊D47—41no—
804C22⋊D47—41no—
805C22⋊D47—42no—
806C22⋊D47—42no—
807C22⋊D47—42no—
808C22⋊D47—42no—
809C22⋊D47—81no—
810C22⋊D47—81no—
811C22⋊D47—81no—
812C22⋊D47—81no—
813C22⋊D47—81no—
814C22⋊D47—81no—
815C22⋊D47—81no—
816C22⋊D47—81no—
817C22⋊D47—81no—
818C2×Dic47—21no—
819C2×Dic47—21no—
820C2×Dic47—21no—
821C2×Dic47—21no—
822C2×Dic47—21no—
823C2×Dic47—21no—
824C2×Dic47—21no—
825C2×Dic47—41no—
826C2×Dic47—42no—
827C2×Dic47—42no—
828C2×Dic47—42no—
829C2×Dic47—42no—
830C2×Dic47—42no—
831C2×Dic47—81no—
832C2×Dic47—81no—
833C2×Dic47—81no—
834C2×Dic47—81no—
835C2×Dic47—81no—
836C2×Dic47—81no—
837C2×Dic47—81no—
838C2×Dic47C22×D411yescharacteristic
839C2×Dic47C22×D411yescharacteristic
840C2×Dic47C22×D411yescharacteristic
841C2×Dic47C22×D411yescharacteristic
842C2×Dic47C22×D411yescharacteristic
843C2×Dic47C22×D411yescharacteristic
844D188—21no—
845D188—21no—
846D188—81no—
847D188—81no—
848C4×D47—21no—
849C4×D47—21no—
850C4×D47—21no—
851C4×D47—21no—
852C4×D47—41no—
853C4×D47—41no—
854C4×D47—81no—
855C4×D47—81no—
856C4×D47—81no—
857Dic94—21no—
858Dic94—21no—
859Dic94—21no—
860Dic94—21no—
861Dic94—21no—
862Dic94—21no—
863Dic94—42no—
864C8×C47—21no—
865C8×C47—21no—
866C8×C47—21no—
867C8×C47—21no—
868C47⋊C8—21no—
869C47⋊C8—21no—
870C47⋊C8—21no—
871C47⋊C8—21no—
872#61635—471nomaximal, Sylow
873C22×C47—21no—
874C22×C47—21no—
875C22×C47—21no—
876C22×C47—21no—
877C22×C47—21no—
878C22×C47—21no—
879C22×C47—21no—
880C22×C47—22no—
881C22×C47—22no—
882C22×C47—21no—
883C22×C47—21no—
884C22×C47—41no—
885C22×C47—41no—
886C22×C47—41no—
887C22×C47—41no—
888C22×C47—41no—
889C22×C47—41no—
890C22×C47—41no—
891C22×C47—41no—
892C22×C47—41no—
893C22×C47—41no—
894C22×C47—84no—
895C22×C47—162no—
896C22×C47—162no—
897C22×C47C23×D411yescharacteristic
898C2×D47—21no—
899C2×D47—21no—
900C2×D47—21no—
901C2×D47—21no—
902C2×D47—21no—
903C2×D47—21no—
904C2×D47—41no—
905C2×D47—41no—
906C2×D47—41no—
907C2×D47—82no—
908C4×C47—21no—
909C4×C47—21no—
910C4×C47—21no—
911C4×C47—41no—
912C4×C47—41no—
913C4×C47—41no—
914C4×C47—41no—
915C4×C47C2×H(5,𝔽2)11yescharacteristic
916C4×C47C2×H(5,𝔽2)11yescharacteristic
917Dic47—21no—
918Dic47—21no—
919Dic47—21no—
920Dic47—21no—
921Dic47—21no—
922Dic47—21no—
923Dic47—41no—
924Dic47—41no—
925Dic47—41no—
926Dic47—41no—
927Dic47—41no—
928Dic47—41no—
929Dic47—41no—
930#3539—471no—
931#3485—471no—
932#3315—471no—
933#3315—471no—
934#3307—471no—
935#3307—471no—
936#3297—471no—
937#3297—471no—
938#3296—471no—
939#3296—471no—
940#3284—471no—
941#3284—471no—
942#3283—471no—
943#3283—471no—
944#3268—471no—
945#3268—471no—
946#3267—471no—
947#3267—471no—
948#3223—471no—
949#3221—471no—
950#3201—471no—
951#3201—471no—
952#3191—471no—
953#3191—471no—
954#3123—471no—
955#3122—471no—
956#3012—471no—
957#3012D4711yescharacteristic, complemented
958#3002—471no—
959#3002—471no—
960#2977—471no—
961C2×C47—41no—
962C2×C47—41no—
963C2×C47—41no—
964C2×C47—42no—
965C2×C47—42no—
966C2×C47—81no—
967C2×C47—81no—
968C2×C47#348411yescharacteristic
969C2×C47#358411yescharacteristic
970C2×C47#358411yescharacteristic
971D47—41no—
972D47—41no—
973D47—81no—
974C2×H(5,𝔽2)C2×D4711yescharacteristic
975C22×#41—471no—
976C2×AGL(1,ℤ/8)—471no—
977C2×AGL(1,ℤ/8)C2×D4711yescharacteristic, complemented
978C2×#135—471no—
979C2×#135—471no—
980C2×#135—471no—
981C2×#135—471no—
982C2×#135—471no—
983C2×#135C2×D4711yescharacteristic, complemented
984#560—941no—
985#560—941no—
986#553—471no—
987#553—471no—
988#553—941no—
989#553—941no—
990#552—471no—
991#552—471no—
992#550—471no—
993#550—471no—
994#547—471no—
995#547—471no—
996#547—471no—
997#547—471no—
998#547—471no—
999#547—471no—
1000#547—941no—
1001#547—941no—
1002#546—471no—
1003#546—471no—
1004#546—471no—
1005#546—471no—
1006#546—941no—
1007#546—941no—
1008#541—471no—
1009#540—471no—
1010#540—941no—
1011#540—941no—
1012#539—941no—
1013#539—941no—
1014#537—471no—
1015#537C2×D4711yescharacteristic
1016#536—471no—
1017#536—471no—
1018#534—941no—
1019#534—941no—
1020#525—471no—
1021#525—471no—
1022#525—471no—
1023#525—471no—
1024C2×#123—941no—
1025C2×#123—941no—
1026#518—471no—
1027#497—471no—
1028#496—471no—
1029#494—471no—
1030#492—471no—
1031#491—471no—
1032#491—471no—
1033#488—471no—
1034#488—471no—
1035#485—471no—
1036#485—471no—
1037#485—471no—
1038#485—471no—
1039#484—471no—
1040#484—471no—
1041#483—471no—
1042#483—471no—
1043#482—471no—
1044#482—471no—
1045#482—471no—
1046#482—471no—
1047#478—471no—
1048#478—471no—
1049#478—471no—
1050#478—471no—
1051#470—471no—
1052#470—471no—
1053#468—471no—
1054#468—471no—
1055#467—471no—
1056#467—471no—
1057#467—471no—
1058#467—471no—
1059#466—471no—
1060#466—471no—
1061#465—471no—
1062#465—471no—
1063#465—471no—
1064#465—471no—
1065#465—471no—
1066#465—471no—
1067#464—471no—
1068#464—471no—
1069#463—471no—
1070#463—471no—
1071#462—471no—
1072#462—471no—
1073#461—471no—
1074#461—471no—
1075#461—471no—
1076#461—471no—
1077#459—471no—
1078#459—471no—
1079#452—471no—
1080#452—471no—
1081#452—471no—
1082#452—471no—
1083#452—471no—
1084#452—471no—
1085#452—471no—
1086#452—471no—
1087#452—471no—
1088#452—471no—
1089#452—471no—
1090#452—471no—
1091#452C2×D4711yescharacteristic
1092#452C2×D4711yescharacteristic, complemented
1093#451—471no—
1094#451—471no—
1095#450—471no—
1096#450—471no—
1097#450C2×D4711yescharacteristic
1098#450C2×D4711yescharacteristic, complemented
1099#449—471no—
1100#449—471no—
1101#449—471no—
1102#449—471no—
1103#449—471no—
1104#449—471no—
1105#449—471no—
1106#449—471no—
1107#449C2×D4711yescharacteristic
1108#449C2×D4711yescharacteristic, complemented
1109#448—471no—
1110#448—471no—
1111#447—471no—
1112#447—471no—
1113#447C2×D4711yescharacteristic
1114#447C2×D4711yescharacteristic, complemented
1115#442—471no—
1116#442—471no—
1117#440—471no—
1118#440—471no—
1119C4×SD16—471no—
1120C4×SD16—471no—
1121C4×D8—471no—
1122C4×D8—471no—
1123#435—471no—
1124#435—471no—
1125#435—471no—
1126#435—471no—
1127C8×D4—471no—
1128C8×D4—471no—
1129C8×D4—471no—
1130C8×D4—471no—
1131#433—471no—
1132#433—471no—
1133#417—471no—
1134#417C2×D4711yescharacteristic, complemented
1135#416—471no—
1136#416—471no—
1137#416—471no—
1138#416—471no—
1139C2×#102—471no—
1140C2×#102C2×D4711yescharacteristic, complemented
1141#408—471no—
1142#408C2×D4711yescharacteristic
1143C2×C22⋊C8—471no—
1144C2×C22⋊C8—471no—
1145C47#6163511yescharacteristic, complemented, Sylow
1146H(5,𝔽2)—42no—
1147H(5,𝔽2)—42no—
1148C2×#41—21no—
1149C2×#41—471no—
1150C2×#41—471no—
1151C2×#41—471no—
1152C2×#41—471no—
1153C2×#41—471no—
1154C2×#41—471no—
1155C2×#41—471no—
1156C2×#41—941no—
1157C2×#41—941no—
1158C2×#41—1882no—
1159C2×#41—1882no—
1160C2×#41C22×D4711yescharacteristic
1161C2×#41C22×D4711yescharacteristic
1162C2×#41C22×D4711yescharacteristic
1163C2×#41C22×D4711yescharacteristic
1164C2×#41C22×D4711yescharacteristic
1165C22×Q8—471no—
1166C22×D4—21no—
1167C22×D4—21no—
1168C22×D4—21no—
1169C22×D4—941no—
1170C22×D4C22×D4711yescharacteristic
1171C22×D4C22×D4711yescharacteristic
1172C22×D4C22×D4711yescharacteristic
1173C23×C4—471no—
1174C23×C4—941no—
1175AGL(1,ℤ/8)—42no—
1176AGL(1,ℤ/8)—1882no—
1177#135—42no—
1178#135—1882no—
1179#135—1882no—
1180#135—1882no—
1181#135—1882no—
1182#135—1882no—
1183C2×Q16—471no—
1184C2×Q16—471no—
1185C2×Q16—471no—
1186C2×Q16—471no—
1187C2×Q16—471no—
1188C2×Q16C22×D4711yescharacteristic
1189C2×SD16—471no—
1190C2×SD16—471no—
1191C2×SD16—471no—
1192C2×SD16—471no—
1193C2×SD16—471no—
1194C2×SD16—471no—
1195C2×SD16—471no—
1196C2×SD16—471no—
1197C2×SD16C22×D4711yescharacteristic
1198C2×SD16C22×D4711yescharacteristic
1199C2×SD16C22×D4711yescharacteristic
1200C2×SD16C22×D4711yescharacteristic
1201C2×D8—471no—
1202C2×D8—471no—
1203C2×D8—471no—
1204C2×D8C22×D4711yescharacteristic
1205C2×D8C22×D4711yescharacteristic
1206C2×D8C22×D4711yescharacteristic
1207C2×M16—471no—
1208C2×M16C22×D4711yescharacteristic
1209C22×C8—471no—
1210C22×C8—471no—
1211C22×C8—471no—
1212C22×C8—471no—
1213C22×C8—471no—
1214C22×C8C22×D4711yescharacteristic
1215C4⋊Q8—471no—
1216C4⋊Q8—471no—
1217C4⋊Q8—471no—
1218C4⋊Q8—941no—
1219#127—471no—
1220#127—941no—
1221#127—941no—
1222#126—941no—
1223#126—941no—
1224#126—941no—
1225#126—941no—
1226#126—941no—
1227#126—941no—
1228#125—471no—
1229#125—471no—
1230#125—941no—
1231#125—941no—
1232#125—941no—
1233#125—941no—
1234#124—471no—
1235#124—471no—
1236#124—941no—
1237#123—471no—
1238#123—471no—
1239#123—941no—
1240#123—941no—
1241#123—941no—
1242#123—941no—
1243#123—941no—
1244#123—941no—
1245#123—941no—
1246#123—941no—
1247#123—941no—
1248#123—941no—
1249#123—941no—
1250#123—941no—
1251#123—941no—
1252#123—941no—
1253#123—941no—
1254#123—941no—
1255#123—941no—
1256#123—941no—
1257#123—941no—
1258#123—941no—
1259#123—941no—
1260#123—941no—
1261#123—941no—
1262#123—941no—
1263#123—941no—
1264#123—941no—
1265#123—941no—
1266#123—941no—
1267#123—941no—
1268C22⋊Q8—21no—
1269C22⋊Q8—471no—
1270C22⋊Q8—471no—
1271C22⋊Q8—471no—
1272C22⋊Q8—471no—
1273C22⋊Q8—471no—
1274C22⋊Q8—471no—
1275C22⋊Q8—471no—
1276C22⋊Q8—471no—
1277C22⋊Q8—471no—
1278C22⋊Q8—471no—
1279C22⋊Q8—471no—
1280C22⋊Q8—471no—
1281C22⋊Q8—941no—
1282C22⋊Q8—941no—
1283C22⋊Q8—941no—
1284C22⋊Q8C22×D4711yescharacteristic
1285C22⋊Q8C22×D4711yescharacteristic
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—471no—
1290#121—471no—
1291#121—471no—
1292#121—471no—
1293#121—471no—
1294#121—471no—
1295#121—471no—
1296#121—471no—
1297#121—941no—
1298#121—941no—
1299#121—941no—
1300#121—941no—
1301#121—941no—
1302#121—941no—
1303#121—941no—
1304#121—941no—
1305#121—941no—
1306#121—941no—
1307#121—941no—
1308#121—941no—
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#121C22×D4711yescharacteristic
1319#121C22×D4711yescharacteristic
1320#120—471no—
1321#120—471no—
1322#120—941no—
1323#120—941no—
1324#120—941no—
1325#120—941no—
1326#120—941no—
1327#120—941no—
1328#120—941no—
1329C4×Q8—471no—
1330C4×Q8—471no—
1331C4×D4—471no—
1332C4×D4—471no—
1333C4×D4—471no—
1334C4×D4—471no—
1335C4×D4—471no—
1336C4×D4—471no—
1337C4×D4—471no—
1338C4×D4—471no—
1339C4×D4—471no—
1340C4×D4—471no—
1341C4×D4—941no—
1342C4×D4—941no—
1343C4×D4—941no—
1344C4×D4—941no—
1345C4×D4—941no—
1346C4×D4—941no—
1347C4×D4—941no—
1348C4×D4—941no—
1349C4×D4—941no—
1350C4×D4—941no—
1351C4×D4—941no—
1352C4×D4—941no—
1353#117—471no—
1354#117—471no—
1355#117—471no—
1356#117—471no—
1357#117—941no—
1358#117—941no—
1359C2×C4⋊C4—471no—
1360C2×C4⋊C4—941no—
1361C2×C4⋊C4—941no—
1362C2×C4⋊C4—941no—
1363C2×C4⋊C4—941no—
1364C2×C4⋊C4—941no—
1365C2×C4⋊C4—941no—
1366C2×C4⋊C4C22×D4711yescharacteristic
1367C2×C22⋊C4—941no—
1368C2×C22⋊C4—941no—
1369C2×C22⋊C4—941no—
1370C2×C22⋊C4—941no—
1371C2×C22⋊C4—941no—
1372C2×C22⋊C4—941no—
1373#107—471no—
1374#107—471no—
1375#107—471no—
1376#107—471no—
1377#106—471no—
1378#106—471no—
1379#106—471no—
1380#106—471no—
1381C4⋊C8—471no—
1382C4⋊C8—471no—
1383C4⋊C8—471no—
1384C4⋊C8—471no—
1385#103—471no—
1386#103—471no—
1387#103—471no—
1388#103—471no—
1389#103—471no—
1390#103—471no—
1391#103—471no—
1392#103—471no—
1393#103—471no—
1394#103—471no—
1395#103—471no—
1396#103—471no—
1397#103—471no—
1398#103—471no—
1399#103C22×D4711yescharacteristic
1400#103C22×D4711yescharacteristic
1401#102—471no—
1402#102—471no—
1403#102—471no—
1404#102—471no—
1405#102—471no—
1406#102—471no—
1407#102—471no—
1408#102—471no—
1409#102—471no—
1410#102—471no—
1411#102C22×D4711yescharacteristic
1412#102C22×D4711yescharacteristic
1413#102C22×D4711yescharacteristic
1414#102C22×D4711yescharacteristic
1415#102C22×D4711yescharacteristic
1416#102C22×D4711yescharacteristic
1417C22⋊C8—471no—
1418C22⋊C8—471no—
1419C22⋊C8—471no—
1420C22⋊C8—471no—
1421C22⋊C8—471no—
1422C22⋊C8—471no—
1423C22⋊C8—471no—
1424C22⋊C8—471no—
1425C22⋊C8C22×D4711yescharacteristic
1426C22⋊C8C22×D4711yescharacteristic
1427C22⋊C8C22×D4711yescharacteristic
1428C22⋊C8C22×D4711yescharacteristic
1429#97—471no—
1430#97—471no—
1431C4×C8—471no—
1432C4×C8—471no—
1433C24—21no—
1434C24—21no—
1435C24—21no—
1436C24—471no—
1437#41—22no—
1438#41—22no—
1439#41—41no—
1440#41—41no—
1441#41—41no—
1442#41—41no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—44no—
1448#41—942no—
1449#41—942no—
1450#41—942no—
1451#41—942no—
1452#41—1881no—
1453#41—1881no—
1454#41—1881no—
1455#41—1881no—
1456#41—1881no—
1457#41—1881no—
1458#41—1881no—
1459#41—1881no—
1460#41—1881no—
1461#41—1881no—
1462#41—1884no—
1463#41—1884no—
1464C2×Q8—471no—
1465C2×Q8—471no—
1466C2×Q8—471no—
1467C2×Q8—941no—
1468C2×Q8—1881no—
1469C2×Q8—1881no—
1470C2×Q8D4×D4711yescharacteristic
1471C2×Q8C23×D4711yescharacteristic
1472C2×Q8C23×D4711yescharacteristic
1473C2×D4—22no—
1474C2×D4—22no—
1475C2×D4—22no—
1476C2×D4—22no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—41no—
1487C2×D4—41no—
1488C2×D4—44no—
1489C2×D4—44no—
1490C2×D4—44no—
1491C2×D4—471no—
1492C2×D4—471no—
1493C2×D4—471no—
1494C2×D4—471no—
1495C2×D4—471no—
1496C2×D4—941no—
1497C2×D4—941no—
1498C2×D4—941no—
1499C2×D4—941no—
1500C2×D4—941no—
1501C2×D4—941no—
1502C2×D4—941no—
1503C2×D4—941no—
1504C2×D4—941no—
1505C2×D4—941no—
1506C2×D4—941no—
1507C2×D4—941no—
1508C2×D4—941no—
1509C2×D4—941no—
1510C2×D4—941no—
1511C2×D4—1884no—
1512C2×D4D4×D4711yescharacteristic
1513C2×D4D4×D4711yescharacteristic
1514C2×D4D4×D4711yescharacteristic
1515C2×D4C23×D4711yescharacteristic
1516C2×D4C23×D4711yescharacteristic
1517C2×D4C23×D4711yescharacteristic
1518C2×D4C23×D4711yescharacteristic
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—471no—
1525C22×C4—471no—
1526C22×C4—471no—
1527C22×C4—471no—
1528C22×C4—471no—
1529C22×C4—941no—
1530C22×C4—941no—
1531C22×C4—941no—
1532C22×C4—941no—
1533C22×C4—941no—
1534C22×C4—941no—
1535C22×C4—941no—
1536C22×C4—941no—
1537C22×C4—941no—
1538C22×C4—941no—
1539C22×C4—941no—
1540C22×C4—941no—
1541C22×C4—941no—
1542C22×C4—941no—
1543C22×C4—941no—
1544C22×C4—1881no—
1545C22×C4—1881no—
1546C22×C4—1884no—
1547C22×C4C23×D4711yescharacteristic
1548C22×C4C23×D4711yescharacteristic
1549C22×C4C23×D4711yescharacteristic
1550Q16—41no—
1551Q16—1881no—
1552Q16—1881no—
1553Q16—1881no—
1554Q16—1881no—
1555Q16—1881no—
1556SD16—22no—
1557SD16—22no—
1558SD16—41no—
1559SD16—41no—
1560SD16—942no—
1561SD16—942no—
1562SD16—1881no—
1563SD16—1881no—
1564SD16—1881no—
1565SD16—1881no—
1566SD16—1881no—
1567SD16—1881no—
1568D8—22no—
1569D8—22no—
1570D8—41no—
1571D8—942no—
1572D8—942no—
1573D8—1881no—
1574M16—41no—
1575M16—1881no—
1576C2×C8—41no—
1577C2×C8—471no—
1578C2×C8—471no—
1579C2×C8—471no—
1580C2×C8—471no—
1581C2×C8—1881no—
1582C2×C8—1881no—
1583C2×C8—1881no—
1584C2×C8—1881no—
1585C2×C8—1881no—
1586C2×C8C23×D4711yescharacteristic
1587C2×C8C23×D4711yescharacteristic
1588C2×C8C23×D4711yescharacteristic
1589C2×C8C23×D4711yescharacteristic
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—471no—
1594C4⋊C4—471no—
1595C4⋊C4—471no—
1596C4⋊C4—471no—
1597C4⋊C4—471no—
1598C4⋊C4—471no—
1599C4⋊C4—471no—
1600C4⋊C4—471no—
1601C4⋊C4—471no—
1602C4⋊C4—471no—
1603C4⋊C4—941no—
1604C4⋊C4—941no—
1605C4⋊C4—941no—
1606C4⋊C4—941no—
1607C4⋊C4—941no—
1608C4⋊C4—941no—
1609C4⋊C4—941no—
1610C4⋊C4—941no—
1611C4⋊C4—941no—
1612C4⋊C4—941no—
1613C4⋊C4—941no—
1614C4⋊C4—941no—
1615C4⋊C4—941no—
1616C4⋊C4—941no—
1617C4⋊C4—941no—
1618C4⋊C4—941no—
1619C4⋊C4—941no—
1620C4⋊C4—941no—
1621C4⋊C4—941no—
1622C4⋊C4—941no—
1623C4⋊C4—941no—
1624C4⋊C4—941no—
1625C4⋊C4—941no—
1626C4⋊C4C23×D4711yescharacteristic
1627C4⋊C4C23×D4711yescharacteristic
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—471no—
1633C22⋊C4—471no—
1634C22⋊C4—471no—
1635C22⋊C4—471no—
1636C22⋊C4—471no—
1637C22⋊C4—471no—
1638C22⋊C4—471no—
1639C22⋊C4—471no—
1640C22⋊C4—471no—
1641C22⋊C4—471no—
1642C22⋊C4—941no—
1643C22⋊C4—941no—
1644C22⋊C4—941no—
1645C22⋊C4—941no—
1646C22⋊C4—941no—
1647C22⋊C4—941no—
1648C22⋊C4—941no—
1649C22⋊C4—941no—
1650C22⋊C4—941no—
1651C22⋊C4—941no—
1652C22⋊C4—941no—
1653C22⋊C4—941no—
1654C22⋊C4—941no—
1655C22⋊C4—941no—
1656C22⋊C4—941no—
1657C22⋊C4—941no—
1658C22⋊C4—941no—
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—
1671C42—471no—
1672C42—471no—
1673C42—941no—
1674C42—941no—
1675C42—941no—
1676C42—941no—
1677C42—941no—
1678C23—24no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—42no—
1684C23—42no—
1685C23—81no—
1686C23—81no—
1687C23—81no—
1688C23—81no—
1689C23—81no—
1690C23—81no—
1691C23—471no—
1692C23—471no—
1693C23—941no—
1694C23—1881no—
1695C23—1881no—
1696C23—1881no—
1697C23C2×D4×D4711yescharacteristic
1698C23C2×D4×D4711yescharacteristic
1699C23C2×D4×D4711yescharacteristic
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—41no—
1705Q8—941no—
1706Q8—941no—
1707Q8—941no—
1708Q8—941no—
1709Q8—941no—
1710Q8—941no—
1711Q8—1882no—
1712D4—24no—
1713D4—21no—
1714D4—21no—
1715D4—21no—
1716D4—21no—
1717D4—21no—
1718D4—21no—
1719D4—41no—
1720D4—41no—
1721D4—41no—
1722D4—42no—
1723D4—42no—
1724D4—42no—
1725D4—42no—
1726D4—42no—
1727D4—81no—
1728D4—81no—
1729D4—81no—
1730D4—941no—
1731D4—941no—
1732D4—3761no—
1733D4—3761no—
1734D4—3761no—
1735D4—3761no—
1736D4—3761no—
1737D4—3761no—
1738D4—3761no—
1739D4—3761no—
1740D4—3761no—
1741D4—3761no—
1742D4—3761no—
1743D4—1881no—
1744D4—1881no—
1745D4—1881no—
1746D4—1881no—
1747D4—1882no—
1748D4—1882no—
1749D4—1882no—
1750D4—1882no—
1751D4#1309406912yes—
1752D4#1309406912yes—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—42no—
1764C2×C4—42no—
1765C2×C4—42no—
1766C2×C4—81no—
1767C2×C4—81no—
1768C2×C4—471no—
1769C2×C4—471no—
1770C2×C4—471no—
1771C2×C4—471no—
1772C2×C4—471no—
1773C2×C4—471no—
1774C2×C4—941no—
1775C2×C4—941no—
1776C2×C4—941no—
1777C2×C4—941no—
1778C2×C4—941no—
1779C2×C4—941no—
1780C2×C4—941no—
1781C2×C4—941no—
1782C2×C4—941no—
1783C2×C4—941no—
1784C2×C4—941no—
1785C2×C4—3761no—
1786C2×C4—3761no—
1787C2×C4—3761no—
1788C2×C4—3761no—
1789C2×C4—3761no—
1790C2×C4—3761no—
1791C2×C4—3761no—
1792C2×C4—3761no—
1793C2×C4—3761no—
1794C2×C4—3761no—
1795C2×C4—1881no—
1796C2×C4—1881no—
1797C2×C4—1881no—
1798C2×C4—1882no—
1799C2×C4—1882no—
1800C2×C4—1882no—
1801C2×C4—1882no—
1802C2×C4—1882no—
1803C2×C4C2×D4×D4711yescharacteristic
1804C2×C4C2×D4×D4711yescharacteristic
1805C2×C4C2×D4×D4711yescharacteristic
1806C2×C4C24×D4711yescharacteristic
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—941no—
1812C8—941no—
1813C8—941no—
1814C8—941no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—22no—
1825C22—22no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—84no—
1837C22—162no—
1838C22—162no—
1839C22—941no—
1840C22—941no—
1841C22—941no—
1842C22—941no—
1843C22—941no—
1844C22—941no—
1845C22—3762no—
1846C22—1881no—
1847C22—1881no—
1848C22—1881no—
1849C22C22×D4×D4711yescharacteristic
1850C4—21no—
1851C4—21no—
1852C4—21no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—941no—
1858C4—941no—
1859C4—941no—
1860C4—941no—
1861C4—941no—
1862C4—941no—
1863C4—1881no—
1864C4—1881no—
1865C4—1881no—
1866C4—1881no—
1867C4—1881no—
1868C4—1881no—
1869C4—1881no—
1870C4C2×#1309406911yescharacteristic
1871C4C2×#1309406911yescharacteristic
1872C2—41no—
1873C2—41no—
1874C2—41no—
1875C2—42no—
1876C2—42no—
1877C2—81no—
1878C2—81no—
1879C2—3761no—
1880C2—1881no—
1881C2—1881no—
1882C2#2025701711yescharacteristic
1883C2#2025815611yescharacteristic
1884C2#2025816011yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3012C2
socleC22×C47C23×D4
hypercenter#3012D47
hypocenterC47#61635
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3012

Complements

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

NH ≅ G/Ntype
1. #20257641C2semidirect
2. #20257028C2semidirect
3. #20255485C2semidirect
4. #20255477C2semidirect
5. #20255365C2semidirect
6. #20255357C2semidirect
7. #20255242C2semidirect
8. #20255234C2semidirect
9. #20255227C2semidirect
10. #20255219C2semidirect
11. #20255116C2semidirect
12. #20255112C2semidirect
13. #20255104C2semidirect
14. #20255103C2semidirect
15. #20254926C2semidirect
16. #20254922C2semidirect
17. #20254911C2semidirect
18. #20254907C2semidirect
19. #20254469C2semidirect
20. #20254447C2semidirect
21. #20254272C2semidirect
22. #20254264C2semidirect
23. #20254180C2semidirect
24. #20254178C2semidirect
25. #20253634C2semidirect
26. #20253625C2semidirect
27. #20252692C2semidirect
28. #20252607C2semidirect
29. #20252601C2semidirect
30. #20252440C2semidirect
31. C47×#3012C2semidirect
33. C2×#13094050C22semidirect
34. C2×#13094045C22semidirect
35. C2×#13094045C22semidirect
36. C2×#13094044C22semidirect
37. C2×#13094043C22semidirect
38. C2×#13094043C22semidirect
41. #15689825C22semidirect
42. #15689821C22semidirect
45. #15689815C22semidirect
46. #15689808C22semidirect
47. #15689792C22semidirect
48. #15689791C22semidirect
49. #15689775C22semidirect
56. #15689772C22semidirect
63. #15689733C22semidirect
65. #15689726C22semidirect
74. #15689636C22semidirect
75. #15689633C22semidirect
81. #15689514C22semidirect
82. #15689511C22semidirect
83. #15689501C22semidirect
84. #15689494C22semidirect
85. #15689490C22semidirect
86. #15689490C22semidirect
87. #15689476C22semidirect
88. #15689476C22semidirect
89. #15689465C22semidirect
90. #15689463C22semidirect
91. #15689462C22semidirect
92. #15689461C22semidirect
93. #15689459C22semidirect
94. #15689458C22semidirect
95. #15689454C22semidirect
96. #15689453C22semidirect
97. #15689448C22semidirect
98. #15689446C22semidirect
99. #15689445C22semidirect
100. #15689444C22semidirect
101. #15689425C22semidirect
102. #15689425C22semidirect
103. #15689421C22semidirect
104. #15689421C22semidirect
105. #15689381C22semidirect
106. #15689379C22semidirect
107. #15689369C22semidirect
108. #15689367C22semidirect
109. #15689364C22semidirect
110. #15689363C22semidirect
111. #15689362C22semidirect
112. #15689361C22semidirect
113. #15689358C22semidirect
114. #15689356C22semidirect
115. #15689355C22semidirect
116. #15689352C22semidirect
117. #15689351C22semidirect
118. #15689350C22semidirect
119. #15689349C22semidirect
120. #15689349C22semidirect
121. #15689344C22semidirect
122. #15689343C22semidirect
123. #15689337C22semidirect
124. #15689336C22semidirect
125. #15689332C22semidirect
126. #15689331C22semidirect
127. #15689327C22semidirect
128. #15689326C22semidirect
129. #15689326C22semidirect
130. #15689326C22semidirect
131. #15689316C22semidirect
132. #15689316C22semidirect
133. #15689287C22semidirect
134. #15689287C22semidirect
135. #15689286C22semidirect
136. #15689286C22semidirect
138. #15689285C22semidirect
139. #15689285C22semidirect
140. #15689285C22semidirect
141. #15689284C22semidirect
142. #15689282C22semidirect
143. #15689282C22semidirect
144. #15689282C22semidirect
145. #15689281C22semidirect
146. #15689278C22semidirect
148. #15689274C22semidirect
149. #15689269C22semidirect
150. #15689269C22semidirect
152. #15689268C22semidirect
153. #15689267C22semidirect
154. #15689265C22semidirect
155. #15689265C22semidirect
156. #15689265C22semidirect
157. #15689264C22semidirect
158. #15689261C22semidirect
160. #15689257C22semidirect
161. #15689235C22semidirect
162. #15689232C22semidirect
163. #15689224C22semidirect
164. #15689220C22semidirect
165. #15689214C22semidirect
166. SD16×Dic47C22semidirect
167. D8×Dic47C22semidirect
168. #15689203C22semidirect
169. #15689197C22semidirect
170. #15689197C22semidirect
171. #15689192C22semidirect
172. #15689192C22semidirect
173. C8×C22⋊D47C22semidirect
174. C8×C22⋊D47C22semidirect
175. (C22⋊D47)⋊C8C22semidirect
176. (C22⋊D47)⋊C8C22semidirect
177. #15689181C22semidirect
178. #15689181C22semidirect
179. #15689124C22semidirect
180. #15689116C22semidirect
181. #15689116C22semidirect
182. #15689116C22semidirect
183. #15689116C22semidirect
184. C2×#13093945C22semidirect
186. C22⋊C8×D47C22semidirect
187. C22⋊C8×D47C22semidirect
189. C2×AGL(1,ℤ/8)×C47C22semidirect
190. C2×#135×C47C22semidirect
193. C47×#452C22semidirect
195. C47×#450C22semidirect
197. C47×#449C22semidirect
199. C47×#447C22semidirect
200. C47×#417C22semidirect
201. C2×#102×C47C22semidirect
957. #3012D47semidirect
977. C2×AGL(1,ℤ/8)C2×D47semidirect
983. C2×#135C2×D47semidirect
1092. #452C2×D47semidirect
1098. #450C2×D47semidirect
1108. #449C2×D47semidirect
1114. #447C2×D47semidirect
1134. #417C2×D47semidirect
1140. C2×#102C2×D47semidirect
1145. C47#61635semidirect

Maximal subgroups

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

subgroupindex
#202576412
#202570282
#202554852
#202554772
#202553652
#202553572
#202552422
#202552342
#202552272
#202552192
#202551162
#202551122
#202551042
#202551032
#202549262
#202549222
#202549112
#202549072
#202544692
#202544472
#202542722
#202542642
#202541802
#202541782
#202536342
#202536252
#202526922
#202526072
#202526012
#202524402
C47×#30122
#6163547