Finite Group Databasebeta

← #27101990

Subgroups — #27101990

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#20257708C211yesmaximal, characteristic, complemented
2#20257032C211yesmaximal, characteristic, complemented
3#20255689C211yesmaximal, characteristic, complemented
4#20255605C211yesmaximal, characteristic, complemented
5#20255548C211yesmaximal, characteristic, complemented
6#20255485C211yesmaximal, characteristic, complemented
7#20255368C211yesmaximal, characteristic, complemented
8#20255350C211yesmaximal, characteristic, complemented
9#20255309C211yesmaximal, characteristic, complemented
10#20255231C211yesmaximal, characteristic, complemented
11#20255116C211yesmaximal, characteristic, complemented
12#20255071C211yesmaximal, characteristic, complemented
13#20254993C211yesmaximal, characteristic, complemented
14#20254982C211yesmaximal, characteristic, complemented
15#20254932C211yesmaximal, characteristic, complemented
16#20254907C211yesmaximal, characteristic, complemented
17#20254906C211yesmaximal, characteristic, complemented
18#20254862C211yesmaximal, characteristic, complemented
19#20254495C211yesmaximal, characteristic, complemented
20#20254445C211yesmaximal, characteristic, complemented
21#20254266C211yesmaximal, characteristic, complemented
22#20254258C211yesmaximal, characteristic, complemented
23#20254230C211yesmaximal, characteristic, complemented
24#20254153C211yesmaximal, characteristic, complemented
25#20253625C211yesmaximal, characteristic, complemented
26#20253565C211yesmaximal, characteristic, complemented
27#20252687C211yesmaximal, characteristic, complemented
28#20252651C211yesmaximal, characteristic, complemented
29#20252606C211yesmaximal, characteristic, complemented
30#20252438C211yesmaximal, characteristic, complemented
31C47×#3006C211yesmaximal, characteristic, complemented
32C2×#13094069C2211yescharacteristic, complemented
33C2×#13094048C2211yescharacteristic, complemented
34C2×#13094048C2211yescharacteristic, complemented
35C2×#13094044C2211yescharacteristic, complemented
36C2×#13094044C2211yescharacteristic, complemented
37C2×#13094043C2211yescharacteristic, complemented
38C2×D8×D47C2211yescharacteristic, complemented
39#15689868—21no—
40#15689861—21no—
41#15689837C2211yescharacteristic, complemented
42#15689820C2211yescharacteristic, complemented
43#15689808C2211yescharacteristic, complemented
44#15689799—21no—
45#15689791C2211yescharacteristic, complemented
46#15689774C2211yescharacteristic, complemented
47#15689772—21no—
48#15689772—21no—
49#15689772C2211yescharacteristic
50#15689772C2211yescharacteristic, complemented
51#15689772C2211yescharacteristic, complemented
52#15689772C2211yescharacteristic, complemented
53#15689770C2211yescharacteristic, complemented
54#15689767C2211yescharacteristic, complemented
55#15689763—21no—
56#15689761—21no—
57#15689761—21no—
58#15689761C2211yescharacteristic
59#15689761C2211yescharacteristic, complemented
60#15689761C2211yescharacteristic, complemented
61#15689761C2211yescharacteristic, complemented
62D4×C22⋊D47C2211yescharacteristic, complemented
63#15689740C2211yescharacteristic, complemented
64#15689726C2211yescharacteristic, complemented
65#15689723—21no—
66#15689705—21no—
67#15689702C2211yescharacteristic
68#15689697C2211yescharacteristic, complemented
69#15689697C2211yescharacteristic, complemented
70#15689690—21no—
71#15689689C2211yescharacteristic
72#15689682—21no—
73#15689682—21no—
74#15689682—21no—
75#15689634C2211yescharacteristic
76#15689634C2211yescharacteristic, complemented
77#15689634C2211yescharacteristic, complemented
78C2×#13094007—21no—
79C2×#13094007—21no—
80#15689598C2211yescharacteristic, complemented
81#15689514C2211yescharacteristic, complemented
82#15689509C2211yescharacteristic, complemented
83#15689504C2211yescharacteristic, complemented
84#15689494C2211yescharacteristic, complemented
85#15689490C2211yescharacteristic, complemented
86#15689484C2211yescharacteristic, complemented
87#15689479C2211yescharacteristic, complemented
88#15689472C2211yescharacteristic, complemented
89#15689465C2211yescharacteristic, complemented
90#15689465C2211yescharacteristic, complemented
91#15689463C2211yescharacteristic, complemented
92#15689462C2211yescharacteristic, complemented
93#15689458C2211yescharacteristic, complemented
94#15689457C2211yescharacteristic, complemented
95#15689452C2211yescharacteristic, complemented
96#15689448C2211yescharacteristic, complemented
97#15689448C2211yescharacteristic, complemented
98#15689444C2211yescharacteristic, complemented
99#15689444C2211yescharacteristic, complemented
100#15689441C2211yescharacteristic, complemented
101#15689425C2211yescharacteristic, complemented
102#15689421C2211yescharacteristic, complemented
103#15689411C2211yescharacteristic, complemented
104#15689401C2211yescharacteristic, complemented
105#15689381C2211yescharacteristic, complemented
106#15689380C2211yescharacteristic, complemented
107#15689376C2211yescharacteristic, complemented
108#15689372C2211yescharacteristic, complemented
109#15689369C2211yescharacteristic, complemented
110#15689369C2211yescharacteristic, complemented
111#15689366C2211yescharacteristic, complemented
112#15689366C2211yescharacteristic, complemented
113#15689363C2211yescharacteristic, complemented
114#15689357C2211yescharacteristic, complemented
115#15689357C2211yescharacteristic, complemented
116#15689355C2211yescharacteristic, complemented
117#15689350C2211yescharacteristic, complemented
118#15689350C2211yescharacteristic, complemented
119#15689349C2211yescharacteristic, complemented
120#15689349C2211yescharacteristic, complemented
121#15689348C2211yescharacteristic, complemented
122#15689341C2211yescharacteristic, complemented
123#15689340C2211yescharacteristic, complemented
124#15689340C2211yescharacteristic, complemented
125#15689336C2211yescharacteristic, complemented
126#15689336C2211yescharacteristic, complemented
127#15689332C2211yescharacteristic, complemented
128#15689327C2211yescharacteristic, complemented
129#15689326C2211yescharacteristic, complemented
130#15689326C2211yescharacteristic, complemented
131#15689316C2211yescharacteristic, complemented
132#15689316C2211yescharacteristic, complemented
133#15689287C2211yescharacteristic, complemented
134#15689287C2211yescharacteristic, complemented
135#15689286C2211yescharacteristic, complemented
136#15689285C2211yescharacteristic, complemented
137#15689285C2211yescharacteristic, complemented
138#15689282C2211yescharacteristic, complemented
139#15689282C2211yescharacteristic, complemented
140#15689279C2211yescharacteristic, complemented
141#15689275C2211yescharacteristic, complemented
142#15689274C2211yescharacteristic, complemented
143#15689274C2211yescharacteristic, complemented
144#15689272C2211yescharacteristic, complemented
145#15689272C2211yescharacteristic, complemented
146#15689270C2211yescharacteristic, complemented
147#15689270C2211yescharacteristic, complemented
148#15689269C2211yescharacteristic, complemented
149#15689268C2211yescharacteristic, complemented
150#15689268C2211yescharacteristic, complemented
151#15689266C2211yescharacteristic
152#15689266C2211yescharacteristic, complemented
153#15689265C2211yescharacteristic, complemented
154#15689265C2211yescharacteristic, complemented
155#15689262C2211yescharacteristic, complemented
156#15689258C2211yescharacteristic, complemented
157#15689257C2211yescharacteristic, complemented
158#15689257C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689255C2211yescharacteristic, complemented
161#15689235C2211yescharacteristic, complemented
162#15689235C2211yescharacteristic, complemented
163#15689232C2211yescharacteristic, complemented
164#15689220C2211yescharacteristic, complemented
165#15689214C2211yescharacteristic, complemented
166D8×Dic47C2211yescharacteristic, complemented
167D8×Dic47C2211yescharacteristic, complemented
168#15689203C2211yescharacteristic, complemented
169#15689199C2211yescharacteristic, complemented
170#15689199C2211yescharacteristic, complemented
171#15689192C2211yescharacteristic, complemented
172#15689192C2211yescharacteristic, complemented
173#15689191C2211yescharacteristic, complemented
174#15689191C2211yescharacteristic, complemented
175(C22⋊D47)⋊C8C2211yescharacteristic, complemented
176(C22⋊D47)⋊C8C2211yescharacteristic, complemented
177#15689181C2211yescharacteristic, complemented
178#15689181C2211yescharacteristic, complemented
179#15689126C2211yescharacteristic, complemented
180#15689121C2211yescharacteristic, complemented
181#15689119C2211yescharacteristic, complemented
182#15689119C2211yescharacteristic, complemented
183#15689116C2211yescharacteristic, complemented
184#102×D47C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186#15689088C2211yescharacteristic, complemented
187C2×C22⋊(C47⋊C8)C2211yescharacteristic, complemented
188C22×#41×C47C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
191C2×#121×C47C2211yescharacteristic, complemented
192C47×#449C2211yescharacteristic, complemented
193C47×#449C2211yescharacteristic, complemented
194C47×#449C2211yescharacteristic, complemented
195C47×#449C2211yescharacteristic, complemented
196C47×#448C2211yescharacteristic, complemented
197C47×#448C2211yescharacteristic, complemented
198C47×#447C2211yescharacteristic
199C47×#447C2211yescharacteristic, complemented
200C47×#417C2211yescharacteristic, complemented
201C47×#417C2211yescharacteristic, complemented
202C47×#407C2211yescharacteristic, complemented
203#13094069—42no—
204#13094069—42no—
205C2×#10625350—21no—
206C2×#10625350C2311yescharacteristic
207C2×#10625350C2311yescharacteristic
208C2×#10625350C2311yescharacteristic
209C2×#10625352—21no—
210C2×#10625352C2311yescharacteristic
211C2×#10625352C2311yescharacteristic
212C2×#10625352C2311yescharacteristic
213C22×C22⋊D47—21no—
214C22×C22⋊D47—21no—
215C22×C22⋊D47—21no—
216C2×D4×D47—21no—
217C2×D4×D47C2311yescharacteristic
218C2×D4×D47C2311yescharacteristic
219C2×D4×D47C2311yescharacteristic
220#13094048—42no—
221#13094048—42no—
222#13094044—42no—
223#13094044—42no—
224#13094043—42no—
225C2×Dic188C2311yescharacteristic
226C2×#10625337C2311yescharacteristic
227C2×#10625337C2311yescharacteristic
228C2×#10625325C2311yescharacteristic
229C2×#10625325C2311yescharacteristic
230C2×#10625335C2311yescharacteristic
231C2×#10625335C2311yescharacteristic
232C2×#10625335C2311yescharacteristic
233C2×#10625335C2311yescharacteristic
234C2×#10625336C2311yescharacteristic
235C2×#10625336C2311yescharacteristic
236C2×D376C2311yescharacteristic
237C2×#10625334C2311yescharacteristic
238C2×#10625334C2311yescharacteristic
239C2×#10625334C2311yescharacteristic
240C2×#10625334C2311yescharacteristic
241D8×D47—42no—
242C2×#10625324C2311yescharacteristic
243C2×#10625324C2311yescharacteristic
244C22×C47⋊C8C2311yescharacteristic
245C22×C47⋊C8C2311yescharacteristic
246C2×C8×D47C2311yescharacteristic
247C2×C8×D47C2311yescharacteristic
248#13094023C2311yescharacteristic
249#13094022—21no—
250#13094022C2311yescharacteristic
251#13094022C2311yescharacteristic
252#13094020—21no—
253#13094020—21no—
254#13094020C2311yescharacteristic
255#13094019—21no—
256#13094017—21no—
257#13094017—21no—
258#13094015C2311yescharacteristic
259#13094014—21no—
260#13094013—21no—
261#13094013C2311yescharacteristic
262#13094013C2311yescharacteristic
263#13094011—21no—
264#13094011—21no—
265#13094011C2311yescharacteristic
266#13094010—21no—
267#13094010—21no—
268#13094009—21no—
269#13094008—21no—
270#13094007—21no—
271#13094007—21no—
272#13094007—21no—
273#13094007—21no—
274#13094007—21no—
275#13094007—21no—
276#13094007—21no—
277#13094007—21no—
278#13094007—21no—
279#13094007—21no—
280#13094007—21no—
281#13094007—21no—
282#13094007—21no—
283#13094007—21no—
284#13094007—21no—
285#13094007—21no—
286#13094007D411yescharacteristic
287#13094007D411yescharacteristic
288#13094006—21no—
289#13094006—21no—
290#13094005—21no—
291#13094005—21no—
292#13094005—21no—
293#13094005—21no—
294#13094005—21no—
295#13094005—21no—
296#13094005—21no—
297#13094004C2311yescharacteristic
298#13094003D411yescharacteristic
299#13094003D411yescharacteristic
300#13094003C2311yescharacteristic
301#13094003C2311yescharacteristic
302#13094003C2311yescharacteristic
303#13094003C2311yescharacteristic
304#13094002—21no—
305#13094001—21no—
306#13094001—21no—
307#13094000—21no—
308#13094000—21no—
309#13094000C2311yescharacteristic
310#13094000C2311yescharacteristic
311#13094000C2311yescharacteristic
312#13094000C2311yescharacteristic
313#13093999C2311yescharacteristic
314#13093998D411yescharacteristic
315#13093998D411yescharacteristic
316#13093998C2311yescharacteristic
317#13093998C2311yescharacteristic
318#13093998C2311yescharacteristic
319#13093998C2311yescharacteristic
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#13093995—21no—
337#13093995—21no—
338#13093995—21no—
339#13093995—21no—
340#13093995C2311yescharacteristic
341#13093995C2311yescharacteristic
342#13093994—21no—
343#13093993—21no—
344#13093993—21no—
345#13093993—21no—
346#13093993—21no—
347#13093993D411yescharacteristic
348#13093993D411yescharacteristic
349#13093992—21no—
350#13093992—21no—
351#13093992—21no—
352#13093992—21no—
353#13093992—21no—
354#13093992—21no—
355#13093992—21no—
356#13093989C2311yescharacteristic
357D4×Dic47—21no—
358D4×Dic47—21no—
359D4×Dic47C2311yescharacteristic
360D4×Dic47C2311yescharacteristic
361D4×Dic47C2311yescharacteristic
362D4×Dic47C2311yescharacteristic
363D4×Dic47C2311yescharacteristic
364D4×Dic47C2311yescharacteristic
365#13093986C2311yescharacteristic
366C4×C22⋊D47—21no—
367C4×C22⋊D47—21no—
368C4×C22⋊D47—21no—
369C4×C22⋊D47—21no—
370C4×C22⋊D47C2311yescharacteristic
371C4×C22⋊D47C2311yescharacteristic
372C4×C22⋊D47C2311yescharacteristic
373C4×C22⋊D47C2311yescharacteristic
374(C22⋊D47)⋊C4—21no—
375(C22⋊D47)⋊C4—21no—
376#13093983—21no—
377#13093983C2311yescharacteristic
378#13093983C2311yescharacteristic
379#13093983C2311yescharacteristic
380#13093982C2311yescharacteristic
381#13093980—21no—
382C2×Dic47⋊C4—21no—
383C2×Dic47⋊C4—21no—
384C2×Dic47⋊C4—21no—
385C2×Dic47⋊C4—21no—
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—
392C2×(C2×D47)⋊C4—21no—
393C2×(C2×D47)⋊C4—21no—
394C22⋊C4×D47—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#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
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
443C2×#41×C47—21no—
444C2×#41×C47—21no—
445C2×#41×C47—42no—
446C2×#41×C47—42no—
447C2×#41×C47C2311yescharacteristic
448C2×#41×C47C2311yescharacteristic
449C2×#41×C47C2311yescharacteristic
450C2×#41×C47C2311yescharacteristic
451C22×Q8×C47C2311yescharacteristic
452C22×D4×C47—21no—
453C22×D4×C47—21no—
454C22×D4×C47C2311yescharacteristic
455C22×D4×C47C2311yescharacteristic
456C23×C4×C47—21no—
457C23×C4×C47C2311yescharacteristic
458AGL(1,ℤ/8)×C47—42no—
459AGL(1,ℤ/8)×C47—42no—
460C2×SD16×C47C2311yescharacteristic
461C2×SD16×C47C2311yescharacteristic
462C2×SD16×C47C2311yescharacteristic
463C2×SD16×C47C2311yescharacteristic
464C2×D8×C47C2311yescharacteristic
465C2×D8×C47C2311yescharacteristic
466C2×D8×C47C2311yescharacteristic
467C2×D8×C47C2311yescharacteristic
468C2×M16×C47C2311yescharacteristic
469C2×M16×C47C2311yescharacteristic
470#121×C47—21no—
471#121×C47—21no—
472#121×C47C2311yescharacteristic
473#121×C47C2311yescharacteristic
474#121×C47C2311yescharacteristic
475#121×C47C2311yescharacteristic
476C2×C4⋊C4×C47C2311yescharacteristic
477C2×C22⋊C4×C47—21no—
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#103×C47C2311yescharacteristic
481#103×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×C47C2×D411yescharacteristic
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496#41×C47—22no—
497#41×C47—22no—
498#41×C47—22no—
499#41×C47—22no—
500#41×C47—41no—
501#41×C47—41no—
502#41×C47—41no—
503#41×C47—41no—
504#41×C47—44no—
505#41×C47—44no—
506C2×Q8×C47—21no—
507C2×Q8×C47—41no—
508C2×Q8×C47—41no—
509C2×Q8×C47C2411yescharacteristic
510C2×Q8×C47C2411yescharacteristic
511C2×D4×C47—22no—
512C2×D4×C47—22no—
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—21no—
522C2×D4×C47—21no—
523C2×D4×C47—41no—
524C2×D4×C47—41no—
525C2×D4×C47—44no—
526C2×D4×C47—82no—
527C2×D4×C47C2411yescharacteristic
528C2×D4×C47C2411yescharacteristic
529C2×D4×C47C2411yescharacteristic
530C2×D4×C47C2411yescharacteristic
531C22×C4×C47—21no—
532C22×C4×C47—21no—
533C22×C4×C47—21no—
534C22×C4×C47—21no—
535C22×C4×C47—21no—
536C22×C4×C47—21no—
537C22×C4×C47—41no—
538C22×C4×C47—41no—
539C22×C4×C47—44no—
540C22×C4×C47C2×D411yescharacteristic
541C22×C4×C47C2×D411yescharacteristic
542C22×C4×C47C2×D411yescharacteristic
543C22×C4×C47C2411yescharacteristic
544C22×C4×C47C2411yescharacteristic
545C22×C4×C47C2411yescharacteristic
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—21no—
556C2×C22⋊D47—21no—
557C2×C22⋊D47—21no—
558C2×C22⋊D47—21no—
559C2×C22⋊D47—21no—
560C2×C22⋊D47—21no—
561C2×C22⋊D47—21no—
562C2×C22⋊D47—44no—
563C2×C22⋊D47—44no—
564C2×C22⋊D47—82no—
565C2×C22⋊D47C2×D411yescharacteristic
566C2×C22⋊D47C2×D411yescharacteristic
567C2×C22⋊D47C2×D411yescharacteristic
568C2×C22⋊D47C2×D411yescharacteristic
569C2×C22⋊D47C2×D411yescharacteristic
570C2×C22⋊D47C2×D411yescharacteristic
571C22×Dic47—21no—
572C22×Dic47—21no—
573C22×Dic47—21no—
574C22×Dic47—21no—
575C22×Dic47—21no—
576C22×Dic47—21no—
577C22×Dic47—21no—
578C22×Dic47—21no—
579C22×Dic47—21no—
580#10625352—22no—
581#10625352—22no—
582#10625352—41no—
583#10625352—41no—
584#10625352—41no—
585#10625352—41no—
586#10625352—44no—
587D4×D47—22no—
588D4×D47—22no—
589D4×D47—41no—
590D4×D47—41no—
591D4×D47—41no—
592D4×D47—41no—
593D4×D47—44no—
594#10625350—41no—
595#10625350—41no—
596#10625350—41no—
597#10625350—41no—
598#10625350—41no—
599#10625350—41no—
600#10625350—82no—
601C2×D188—21no—
602C2×D188C2×D411yescharacteristic
603C2×D188C2411yescharacteristic
604C2×D188C2411yescharacteristic
605C2×C4×D47—21no—
606C2×C4×D47—21no—
607C2×C4×D47—21no—
608C2×C4×D47—21no—
609C2×C4×D47C2411yescharacteristic
610C2×C4×D47C2411yescharacteristic
611C2×Dic94—21no—
612C2×Dic94C2×D411yescharacteristic
613C2×Dic94C2411yescharacteristic
614C2×Dic94C2411yescharacteristic
615SD16×C47—41no—
616SD16×C47—41no—
617SD16×C47—41no—
618SD16×C47—41no—
619D8×C47—22no—
620D8×C47—22no—
621D8×C47—22no—
622D8×C47—22no—
623M16×C47—41no—
624M16×C47—41no—
625C2×C8×C47C2411yescharacteristic
626C2×C8×C47C2411yescharacteristic
627C2×C8×C47C2411yescharacteristic
628C2×C8×C47C2411yescharacteristic
629C4⋊C4×C47—21no—
630C4⋊C4×C47C2411yescharacteristic
631C4⋊C4×C47C2411yescharacteristic
632C22⋊C4×C47—21no—
633C22⋊C4×C47—21no—
634C22⋊C4×C47—21no—
635C22⋊C4×C47—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⋊Dic47—21no—
650C22⋊Dic47—21no—
651C22⋊Dic47—21no—
652C22⋊Dic47C2×D411yescharacteristic
653C22⋊Dic47C2×D411yescharacteristic
654C22⋊Dic47C2×D411yescharacteristic
655C22⋊Dic47C2×D411yescharacteristic
656C22⋊Dic47C2×D411yescharacteristic
657C22⋊Dic47C2×D411yescharacteristic
658#10625337—41no—
659#10625337—41no—
660#10625336—41no—
661#10625336—41no—
662#10625335—22no—
663#10625335—22no—
664#10625335—41no—
665#10625335—41no—
666#10625334—22no—
667#10625334—22no—
668#10625334—41no—
669#10625334—41no—
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)⋊C4C2×D411yescharacteristic
687(C2×D47)⋊C4C2×D411yescharacteristic
688(C2×D47)⋊C4C2×D411yescharacteristic
689(C2×D47)⋊C4C2×D411yescharacteristic
690C4⋊Dic47—21no—
691C4⋊Dic47—21no—
692C4⋊Dic47C2×D411yescharacteristic
693C4⋊Dic47C2×D411yescharacteristic
694C4⋊Dic47C2411yescharacteristic
695C4⋊Dic47C2411yescharacteristic
696C4⋊Dic47C2411yescharacteristic
697C4⋊Dic47C2411yescharacteristic
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⋊C4—21no—
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4—21no—
714Dic47⋊C4C2×D411yescharacteristic
715Dic47⋊C4C2×D411yescharacteristic
716Dic47⋊C4C2×D411yescharacteristic
717Dic47⋊C4C2×D411yescharacteristic
718C4×Dic47—21no—
719C4×Dic47—21no—
720C4×Dic47—21no—
721C4×Dic47—21no—
722C4×Dic47C2411yescharacteristic
723C4×Dic47C2411yescharacteristic
724C2×C47⋊C8—41no—
725C2×C47⋊C8—41no—
726C2×C47⋊C8C2411yescharacteristic
727C2×C47⋊C8C2411yescharacteristic
728C2×C47⋊C8C2411yescharacteristic
729C2×C47⋊C8C2411yescharacteristic
730Dic188—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—21no—
743C23×C47—41no—
744C23×C47—41no—
745C23×C47—41no—
746C23×C47—42no—
747C23×C47—81no—
748C23×C47—81no—
749C23×C47—81no—
750C23×C47—81no—
751C23×C47C22×D411yescharacteristic
752C23×C47C22×D411yescharacteristic
753C23×C47C22×D411yescharacteristic
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—42no—
772D4×C47—24no—
773D4×C47—21no—
774D4×C47—21no—
775D4×C47—21no—
776D4×C47—21no—
777D4×C47—21no—
778D4×C47—21no—
779D4×C47—42no—
780D4×C47—42no—
781D4×C47—42no—
782D4×C47—42no—
783D4×C47—81no—
784D4×C47—81no—
785D4×C47—81no—
786D4×C47—81no—
787D4×C47—81no—
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—41no—
801C2×C4×C47—41no—
802C2×C4×C47—41no—
803C2×C4×C47—42no—
804C2×C4×C47—42no—
805C2×C4×C47—42no—
806C2×C4×C47—42no—
807C2×C4×C47—42no—
808C2×C4×C47—42no—
809C2×C4×C47C22×D411yescharacteristic
810C2×C4×C47C22×D411yescharacteristic
811C2×C4×C47C22×D411yescharacteristic
812C2×C4×C47C2511yescharacteristic
813C22⋊D47—41no—
814C22⋊D47—41no—
815C22⋊D47—41no—
816C22⋊D47—41no—
817C22⋊D47—41no—
818C22⋊D47—41no—
819C22⋊D47—42no—
820C22⋊D47—42no—
821C22⋊D47—42no—
822C22⋊D47—42no—
823C22⋊D47—42no—
824C22⋊D47—42no—
825C22⋊D47—81no—
826C22⋊D47—81no—
827C22⋊D47—81no—
828C22⋊D47—81no—
829C22⋊D47—81no—
830C22⋊D47—81no—
831C22⋊D47—81no—
832C22⋊D47—81no—
833C22⋊D47—81no—
834C22⋊D47—81no—
835C2×Dic47—21no—
836C2×Dic47—21no—
837C2×Dic47—21no—
838C2×Dic47—21no—
839C2×Dic47—21no—
840C2×Dic47—21no—
841C2×Dic47—42no—
842C2×Dic47—42no—
843C2×Dic47—81no—
844C2×Dic47—81no—
845C2×Dic47—81no—
846C2×Dic47—81no—
847C2×Dic47—81no—
848C2×Dic47—81no—
849C2×Dic47—81no—
850C2×Dic47C22×D411yescharacteristic
851C2×Dic47C22×D411yescharacteristic
852C2×Dic47C22×D411yescharacteristic
853C2×Dic47C22×D411yescharacteristic
854C2×Dic47C22×D411yescharacteristic
855C2×Dic47C22×D411yescharacteristic
856D188—21no—
857D188—21no—
858D188—21no—
859D188—21no—
860D188—41no—
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—
870Dic94—21no—
871Dic94—21no—
872Dic94—21no—
873Dic94—21no—
874Dic94—41no—
875Dic94—81no—
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#61614—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—41no—
904C22×C47—41no—
905C22×C47—41no—
906C22×C47—84no—
907C22×C47—82no—
908C22×C47—162no—
909C22×C47C23×D411yescharacteristic
910C2×D47—21no—
911C2×D47—21no—
912C2×D47—21no—
913C2×D47—21no—
914C2×D47—21no—
915C2×D47—21no—
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×C47C2×H(5,𝔽2)11yescharacteristic
933C4×C47C2×H(5,𝔽2)11yescharacteristic
934Dic47—21no—
935Dic47—21no—
936Dic47—21no—
937Dic47—21no—
938Dic47—21no—
939Dic47—21no—
940Dic47—41no—
941Dic47—41no—
942Dic47—41no—
943Dic47—41no—
944Dic47—41no—
945Dic47—41no—
946#3542—471no—
947#3485—471no—
948#3330—471no—
949#3323—471no—
950#3319—471no—
951#3315—471no—
952#3307—471no—
953#3306—471no—
954#3303—471no—
955#3297—471no—
956#3284—471no—
957#3280—471no—
958#3273—471no—
959#3272—471no—
960#3268—471no—
961#3267—471no—
962#3267—471no—
963#3264—471no—
964#3225—471no—
965#3221—471no—
966#3201—471no—
967#3200—471no—
968#3197—471no—
969#3188—471no—
970#3122—471no—
971#3118—471no—
972#3012—471no—
973#3008—471no—
974#3006D4711yescharacteristic, complemented
975#3002—471no—
976#2976—471no—
977C2×C47—42no—
978C2×C47—42no—
979C2×C47—41no—
980C2×C47—41no—
981C2×C47—41no—
982C2×C47—81no—
983C2×C47—81no—
984C2×C47#348411yescharacteristic
985C2×C47#358411yescharacteristic
986C2×C47#358511yescharacteristic
987D47—41no—
988D47—41no—
989D47—81no—
990D47—81no—
991C2×H(5,𝔽2)—471no—
992C22×#41C2×D4711yescharacteristic, complemented
993C2×AGL(1,ℤ/8)—471no—
994C2×AGL(1,ℤ/8)—471no—
995C2×AGL(1,ℤ/8)C2×D4711yescharacteristic, complemented
996C2×AGL(1,ℤ/8)C2×D4711yescharacteristic, complemented
997C2×#135—471no—
998C2×#135—471no—
999C2×#135—471no—
1000C22×D8—471no—
1001#562—941no—
1002#560—941no—
1003#555—471no—
1004#553—471no—
1005#552—471no—
1006#551—941no—
1007#550—471no—
1008#547—471no—
1009#547—471no—
1010#547—471no—
1011#547—471no—
1012#547—471no—
1013#547—941no—
1014#547—941no—
1015#546—471no—
1016#546—471no—
1017#546—471no—
1018#546—471no—
1019#546—471no—
1020#546—471no—
1021#546—941no—
1022#546—941no—
1023#546—941no—
1024D42—471no—
1025#542—471no—
1026#540—471no—
1027#540—941no—
1028#538—941no—
1029#537—471no—
1030#536—471no—
1031#536—471no—
1032#535—471no—
1033#535—941no—
1034#534—941no—
1035#534—941no—
1036#534—941no—
1037#525—471no—
1038#525—471no—
1039#525—471no—
1040C2×#123—941no—
1041C2×#123—941no—
1042C2×#121C2×D4711yescharacteristic, complemented
1043#518—471no—
1044#497—471no—
1045#496—471no—
1046#495—471no—
1047#492—471no—
1048#491—471no—
1049#489—471no—
1050#488—471no—
1051#487—471no—
1052#485—471no—
1053#485—471no—
1054#485—471no—
1055#485—471no—
1056#484—471no—
1057#484—471no—
1058#483—471no—
1059#482—471no—
1060#482—471no—
1061#482—471no—
1062#482—471no—
1063#481—471no—
1064#478—471no—
1065#478—471no—
1066#476—471no—
1067#474—471no—
1068#470—471no—
1069#470—471no—
1070#469—471no—
1071#468—471no—
1072#468—471no—
1073#468—471no—
1074#468—471no—
1075#468—471no—
1076#467—471no—
1077#466—471no—
1078#466—471no—
1079#465—471no—
1080#465—471no—
1081#465—471no—
1082#465—471no—
1083#465—471no—
1084#464—471no—
1085#463—471no—
1086#463—471no—
1087#463—471no—
1088#463—471no—
1089#463—471no—
1090#462—471no—
1091#461—471no—
1092#461—471no—
1093#461—471no—
1094#459—471no—
1095#459—471no—
1096#452—471no—
1097#452—471no—
1098#452—471no—
1099#452—471no—
1100#452—471no—
1101#452—471no—
1102#452—471no—
1103#451—471no—
1104#450—471no—
1105#450—471no—
1106#450—471no—
1107#450—471no—
1108#450—471no—
1109#449—471no—
1110#449—471no—
1111#449—471no—
1112#449—471no—
1113#449—471no—
1114#449—471no—
1115#449—471no—
1116#449—471no—
1117#449—471no—
1118#449C2×D4711yescharacteristic, complemented
1119#449C2×D4711yescharacteristic, complemented
1120#449C2×D4711yescharacteristic, complemented
1121#449C2×D4711yescharacteristic, complemented
1122#448—471no—
1123#448C2×D4711yescharacteristic, complemented
1124#448C2×D4711yescharacteristic, complemented
1125#447—471no—
1126#447—471no—
1127#447—471no—
1128#447—471no—
1129#447—471no—
1130#447C2×D4711yescharacteristic
1131#447C2×D4711yescharacteristic, complemented
1132#442—471no—
1133#442—471no—
1134#442—471no—
1135#440—471no—
1136C4×SD16—471no—
1137C4×D8—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#433—471no—
1149#433—471no—
1150#418—471no—
1151#417—471no—
1152#417C2×D4711yescharacteristic, complemented
1153#417C2×D4711yescharacteristic, complemented
1154#416—471no—
1155#416—471no—
1156#416—471no—
1157C2×#102—471no—
1158#408—471no—
1159#408—471no—
1160#407C2×D4711yescharacteristic, complemented
1161C2×C22⋊C8—471no—
1162C47#6161411yescharacteristic, complemented, Sylow
1163H(5,𝔽2)—1882no—
1164H(5,𝔽2)—1882no—
1165C2×#41—21no—
1166C2×#41—21no—
1167C2×#41—42no—
1168C2×#41—42no—
1169C2×#41—471no—
1170C2×#41—471no—
1171C2×#41—471no—
1172C2×#41—471no—
1173C2×#41—471no—
1174C2×#41—471no—
1175C2×#41—941no—
1176C2×#41—941no—
1177C2×#41C22×D4711yescharacteristic
1178C2×#41C22×D4711yescharacteristic
1179C2×#41C22×D4711yescharacteristic
1180C2×#41C22×D4711yescharacteristic
1181C22×Q8C22×D4711yescharacteristic
1182C22×D4—21no—
1183C22×D4—21no—
1184C22×D4—471no—
1185C22×D4—471no—
1186C22×D4—471no—
1187C22×D4—941no—
1188C22×D4—941no—
1189C22×D4—941no—
1190C22×D4—941no—
1191C22×D4C22×D4711yescharacteristic
1192C22×D4C22×D4711yescharacteristic
1193C23×C4—21no—
1194C23×C4C22×D4711yescharacteristic
1195AGL(1,ℤ/8)—42no—
1196AGL(1,ℤ/8)—42no—
1197AGL(1,ℤ/8)—1882no—
1198AGL(1,ℤ/8)—1882no—
1199#135—1882no—
1200#135—1882no—
1201#135—1882no—
1202C2×Q16—471no—
1203C2×Q16—471no—
1204C2×Q16—471no—
1205C2×SD16—471no—
1206C2×SD16—471no—
1207C2×SD16—471no—
1208C2×SD16—471no—
1209C2×SD16—471no—
1210C2×SD16—471no—
1211C2×SD16—471no—
1212C2×SD16—471no—
1213C2×SD16C22×D4711yescharacteristic
1214C2×SD16C22×D4711yescharacteristic
1215C2×SD16C22×D4711yescharacteristic
1216C2×SD16C22×D4711yescharacteristic
1217C2×D8—471no—
1218C2×D8—471no—
1219C2×D8—471no—
1220C2×D8—471no—
1221C2×D8—471no—
1222C2×D8—1882no—
1223C2×D8C22×D4711yescharacteristic
1224C2×D8C22×D4711yescharacteristic
1225C2×D8C22×D4711yescharacteristic
1226C2×D8C22×D4711yescharacteristic
1227C2×M16—471no—
1228C2×M16—471no—
1229C2×M16C22×D4711yescharacteristic
1230C2×M16C22×D4711yescharacteristic
1231C22×C8—471no—
1232C22×C8—471no—
1233C22×C8—471no—
1234C22×C8—471no—
1235C4⋊Q8—471no—
1236C4⋊Q8—471no—
1237C4⋊Q8—471no—
1238C4⋊Q8—941no—
1239#127—471no—
1240#127—941no—
1241#127—941no—
1242#126—941no—
1243#126—941no—
1244#126—941no—
1245#125—471no—
1246#125—941no—
1247#124—471no—
1248#124—471no—
1249#124—471no—
1250#124—941no—
1251#124—941no—
1252#124—941no—
1253#124—941no—
1254#124—941no—
1255#123—471no—
1256#123—471no—
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—
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—
1279#123—941no—
1280#123—941no—
1281#123—941no—
1282#123—941no—
1283#123—941no—
1284C22⋊Q8—471no—
1285C22⋊Q8—471no—
1286C22⋊Q8—471no—
1287C22⋊Q8—471no—
1288C22⋊Q8—471no—
1289C22⋊Q8—471no—
1290C22⋊Q8—471no—
1291C22⋊Q8—471no—
1292C22⋊Q8—471no—
1293C22⋊Q8—471no—
1294C22⋊Q8—471no—
1295C22⋊Q8—941no—
1296C22⋊Q8—941no—
1297C22⋊Q8—941no—
1298C22⋊Q8—941no—
1299C22⋊Q8—941no—
1300#121—21no—
1301#121—21no—
1302#121—471no—
1303#121—471no—
1304#121—471no—
1305#121—471no—
1306#121—471no—
1307#121—471no—
1308#121—471no—
1309#121—471no—
1310#121—471no—
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#121C22×D4711yescharacteristic
1332#121C22×D4711yescharacteristic
1333#121C22×D4711yescharacteristic
1334#121C22×D4711yescharacteristic
1335#120—471no—
1336#120—471no—
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×D4—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—
1369#117—471no—
1370#117—471no—
1371#117—471no—
1372#117—471no—
1373#117—941no—
1374#117—941no—
1375C2×C4⋊C4—471no—
1376C2×C4⋊C4—941no—
1377C2×C4⋊C4—941no—
1378C2×C4⋊C4—941no—
1379C2×C4⋊C4—941no—
1380C2×C4⋊C4C22×D4711yescharacteristic
1381C2×C22⋊C4—21no—
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×C22⋊C4—941no—
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#103C22×D4711yescharacteristic
1415#103C22×D4711yescharacteristic
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#102—471no—
1429#102—471no—
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—941no—
1453C24—941no—
1454C24—941no—
1455C24D4×D4711yescharacteristic
1456#41—22no—
1457#41—22no—
1458#41—22no—
1459#41—22no—
1460#41—41no—
1461#41—41no—
1462#41—41no—
1463#41—41no—
1464#41—44no—
1465#41—44no—
1466#41—942no—
1467#41—942no—
1468#41—3762no—
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—1881no—
1478#41—1881no—
1479#41—1884no—
1480C2×Q8—21no—
1481C2×Q8—41no—
1482C2×Q8—41no—
1483C2×Q8—471no—
1484C2×Q8—471no—
1485C2×Q8—471no—
1486C2×Q8—941no—
1487C2×Q8C23×D4711yescharacteristic
1488C2×Q8C23×D4711yescharacteristic
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—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—41no—
1502C2×D4—41no—
1503C2×D4—44no—
1504C2×D4—82no—
1505C2×D4—471no—
1506C2×D4—471no—
1507C2×D4—471no—
1508C2×D4—471no—
1509C2×D4—471no—
1510C2×D4—471no—
1511C2×D4—471no—
1512C2×D4—471no—
1513C2×D4—471no—
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—3762no—
1534C2×D4—1881no—
1535C2×D4—1881no—
1536C2×D4—1881no—
1537C2×D4—1881no—
1538C2×D4—1884no—
1539C2×D4—1884no—
1540C2×D4—1884no—
1541C2×D4C23×D4711yescharacteristic
1542C2×D4C23×D4711yescharacteristic
1543C2×D4C23×D4711yescharacteristic
1544C2×D4C23×D4711yescharacteristic
1545C22×C4—21no—
1546C22×C4—21no—
1547C22×C4—21no—
1548C22×C4—21no—
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—41no—
1552C22×C4—41no—
1553C22×C4—44no—
1554C22×C4—471no—
1555C22×C4—471no—
1556C22×C4—941no—
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×C4D4×D4711yescharacteristic
1570C22×C4D4×D4711yescharacteristic
1571C22×C4D4×D4711yescharacteristic
1572C22×C4C23×D4711yescharacteristic
1573C22×C4C23×D4711yescharacteristic
1574C22×C4C23×D4711yescharacteristic
1575Q16—1881no—
1576Q16—1881no—
1577Q16—1881no—
1578SD16—41no—
1579SD16—41no—
1580SD16—41no—
1581SD16—41no—
1582SD16—942no—
1583SD16—942no—
1584SD16—1881no—
1585SD16—1881no—
1586SD16—1881no—
1587SD16—1881no—
1588SD16—1881no—
1589SD16—1881no—
1590D8—22no—
1591D8—22no—
1592D8—22no—
1593D8—22no—
1594D8—942no—
1595D8—942no—
1596D8—1881no—
1597D8—1881no—
1598D8—1881no—
1599M16—41no—
1600M16—41no—
1601M16—1881no—
1602M16—1881no—
1603C2×C8—471no—
1604C2×C8—471no—
1605C2×C8—471no—
1606C2×C8—471no—
1607C2×C8—1881no—
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—471no—
1617C4⋊C4—471no—
1618C4⋊C4—471no—
1619C4⋊C4—471no—
1620C4⋊C4—471no—
1621C4⋊C4—471no—
1622C4⋊C4—471no—
1623C4⋊C4—471no—
1624C4⋊C4—471no—
1625C4⋊C4—471no—
1626C4⋊C4—941no—
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—471no—
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—471no—
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—
1690C22⋊C4—941no—
1691C22⋊C4—941no—
1692C42—471no—
1693C42—471no—
1694C42—941no—
1695C42—941no—
1696C42—941no—
1697C42—941no—
1698C23—24no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—21no—
1703C23—41no—
1704C23—41no—
1705C23—41no—
1706C23—42no—
1707C23—81no—
1708C23—81no—
1709C23—81no—
1710C23—81no—
1711C23—471no—
1712C23—471no—
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—42no—
1732Q8—941no—
1733Q8—941no—
1734Q8—941no—
1735Q8—941no—
1736Q8—3761no—
1737Q8—1881no—
1738D4—24no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—42no—
1746D4—42no—
1747D4—42no—
1748D4—42no—
1749D4—81no—
1750D4—81no—
1751D4—81no—
1752D4—81no—
1753D4—81no—
1754D4—941no—
1755D4—941no—
1756D4—941no—
1757D4—941no—
1758D4—3761no—
1759D4—3761no—
1760D4—3761no—
1761D4—3761no—
1762D4—3761no—
1763D4—3761no—
1764D4—3761no—
1765D4—3761no—
1766D4—3761no—
1767D4—3761no—
1768D4—3761no—
1769D4—1881no—
1770D4—1881no—
1771D4—1881no—
1772D4—1881no—
1773D4—1881no—
1774D4—1881no—
1775D4—1881no—
1776D4—1882no—
1777D4—1882no—
1778D4—1882no—
1779D4—1882no—
1780D4—1882no—
1781D4—1882no—
1782D4#1309406912yes—
1783D4#1309406912yes—
1784C2×C4—21no—
1785C2×C4—21no—
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—41no—
1795C2×C4—41no—
1796C2×C4—41no—
1797C2×C4—42no—
1798C2×C4—42no—
1799C2×C4—42no—
1800C2×C4—42no—
1801C2×C4—42no—
1802C2×C4—42no—
1803C2×C4—471no—
1804C2×C4—471no—
1805C2×C4—471no—
1806C2×C4—471no—
1807C2×C4—471no—
1808C2×C4—471no—
1809C2×C4—941no—
1810C2×C4—941no—
1811C2×C4—941no—
1812C2×C4—941no—
1813C2×C4—941no—
1814C2×C4—941no—
1815C2×C4—941no—
1816C2×C4—941no—
1817C2×C4—941no—
1818C2×C4—941no—
1819C2×C4—3761no—
1820C2×C4—3761no—
1821C2×C4—3761no—
1822C2×C4—3761no—
1823C2×C4—3761no—
1824C2×C4—3761no—
1825C2×C4—3761no—
1826C2×C4—3761no—
1827C2×C4—3761no—
1828C2×C4—3761no—
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—41no—
1863C22—41no—
1864C22—41no—
1865C22—84no—
1866C22—82no—
1867C22—162no—
1868C22—941no—
1869C22—941no—
1870C22—941no—
1871C22—941no—
1872C22—941no—
1873C22—941no—
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—941no—
1892C4—941no—
1893C4—941no—
1894C4—941no—
1895C4—941no—
1896C4—941no—
1897C4—1881no—
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—81no—
1912C2—3761no—
1913C2—3761no—
1914C2—1881no—
1915C2—1881no—
1916C2#2025701711yescharacteristic
1917C2#2025816111yescharacteristic
1918C2#2025816411yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3006C2
socleC22×C47C23×D4
hypercenter#3006D47
hypocenterC47#61614
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3006

Complements

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

NH ≅ G/Ntype
1. #20257708C2semidirect
2. #20257032C2semidirect
3. #20255689C2semidirect
4. #20255605C2semidirect
5. #20255548C2semidirect
6. #20255485C2semidirect
7. #20255368C2semidirect
8. #20255350C2semidirect
9. #20255309C2semidirect
10. #20255231C2semidirect
11. #20255116C2semidirect
12. #20255071C2semidirect
13. #20254993C2semidirect
14. #20254982C2semidirect
15. #20254932C2semidirect
16. #20254907C2semidirect
17. #20254906C2semidirect
18. #20254862C2semidirect
19. #20254495C2semidirect
20. #20254445C2semidirect
21. #20254266C2semidirect
22. #20254258C2semidirect
23. #20254230C2semidirect
24. #20254153C2semidirect
25. #20253625C2semidirect
26. #20253565C2semidirect
27. #20252687C2semidirect
28. #20252651C2semidirect
29. #20252606C2semidirect
30. #20252438C2semidirect
31. C47×#3006C2semidirect
32. C2×#13094069C22semidirect
33. C2×#13094048C22semidirect
34. C2×#13094048C22semidirect
35. C2×#13094044C22semidirect
36. C2×#13094044C22semidirect
37. C2×#13094043C22semidirect
38. C2×D8×D47C22semidirect
41. #15689837C22semidirect
42. #15689820C22semidirect
43. #15689808C22semidirect
45. #15689791C22semidirect
46. #15689774C22semidirect
50. #15689772C22semidirect
51. #15689772C22semidirect
52. #15689772C22semidirect
53. #15689770C22semidirect
54. #15689767C22semidirect
59. #15689761C22semidirect
60. #15689761C22semidirect
61. #15689761C22semidirect
62. D4×C22⋊D47C22semidirect
63. #15689740C22semidirect
64. #15689726C22semidirect
68. #15689697C22semidirect
69. #15689697C22semidirect
76. #15689634C22semidirect
77. #15689634C22semidirect
80. #15689598C22semidirect
81. #15689514C22semidirect
82. #15689509C22semidirect
83. #15689504C22semidirect
84. #15689494C22semidirect
85. #15689490C22semidirect
86. #15689484C22semidirect
87. #15689479C22semidirect
88. #15689472C22semidirect
89. #15689465C22semidirect
90. #15689465C22semidirect
91. #15689463C22semidirect
92. #15689462C22semidirect
93. #15689458C22semidirect
94. #15689457C22semidirect
95. #15689452C22semidirect
96. #15689448C22semidirect
97. #15689448C22semidirect
98. #15689444C22semidirect
99. #15689444C22semidirect
100. #15689441C22semidirect
101. #15689425C22semidirect
102. #15689421C22semidirect
103. #15689411C22semidirect
104. #15689401C22semidirect
105. #15689381C22semidirect
106. #15689380C22semidirect
107. #15689376C22semidirect
108. #15689372C22semidirect
109. #15689369C22semidirect
110. #15689369C22semidirect
111. #15689366C22semidirect
112. #15689366C22semidirect
113. #15689363C22semidirect
114. #15689357C22semidirect
115. #15689357C22semidirect
116. #15689355C22semidirect
117. #15689350C22semidirect
118. #15689350C22semidirect
119. #15689349C22semidirect
120. #15689349C22semidirect
121. #15689348C22semidirect
122. #15689341C22semidirect
123. #15689340C22semidirect
124. #15689340C22semidirect
125. #15689336C22semidirect
126. #15689336C22semidirect
127. #15689332C22semidirect
128. #15689327C22semidirect
129. #15689326C22semidirect
130. #15689326C22semidirect
131. #15689316C22semidirect
132. #15689316C22semidirect
133. #15689287C22semidirect
134. #15689287C22semidirect
135. #15689286C22semidirect
136. #15689285C22semidirect
137. #15689285C22semidirect
138. #15689282C22semidirect
139. #15689282C22semidirect
140. #15689279C22semidirect
141. #15689275C22semidirect
142. #15689274C22semidirect
143. #15689274C22semidirect
144. #15689272C22semidirect
145. #15689272C22semidirect
146. #15689270C22semidirect
147. #15689270C22semidirect
148. #15689269C22semidirect
149. #15689268C22semidirect
150. #15689268C22semidirect
152. #15689266C22semidirect
153. #15689265C22semidirect
154. #15689265C22semidirect
155. #15689262C22semidirect
156. #15689258C22semidirect
157. #15689257C22semidirect
158. #15689257C22semidirect
159. #15689255C22semidirect
160. #15689255C22semidirect
161. #15689235C22semidirect
162. #15689235C22semidirect
163. #15689232C22semidirect
164. #15689220C22semidirect
165. #15689214C22semidirect
166. D8×Dic47C22semidirect
167. D8×Dic47C22semidirect
168. #15689203C22semidirect
169. #15689199C22semidirect
170. #15689199C22semidirect
171. #15689192C22semidirect
172. #15689192C22semidirect
173. #15689191C22semidirect
174. #15689191C22semidirect
175. (C22⋊D47)⋊C8C22semidirect
176. (C22⋊D47)⋊C8C22semidirect
177. #15689181C22semidirect
178. #15689181C22semidirect
179. #15689126C22semidirect
180. #15689121C22semidirect
181. #15689119C22semidirect
182. #15689119C22semidirect
183. #15689116C22semidirect
184. #102×D47C22semidirect
185. #15689088C22semidirect
186. #15689088C22semidirect
187. C2×C22⋊(C47⋊C8)C22semidirect
188. C22×#41×C47C22semidirect
189. C2×AGL(1,ℤ/8)×C47C22semidirect
190. C2×AGL(1,ℤ/8)×C47C22semidirect
191. C2×#121×C47C22semidirect
192. C47×#449C22semidirect
193. C47×#449C22semidirect
194. C47×#449C22semidirect
195. C47×#449C22semidirect
196. C47×#448C22semidirect
197. C47×#448C22semidirect
199. C47×#447C22semidirect
200. C47×#417C22semidirect
201. C47×#417C22semidirect
202. C47×#407C22semidirect
974. #3006D47semidirect
992. C22×#41C2×D47semidirect
995. C2×AGL(1,ℤ/8)C2×D47semidirect
996. C2×AGL(1,ℤ/8)C2×D47semidirect
1042. C2×#121C2×D47semidirect
1118. #449C2×D47semidirect
1119. #449C2×D47semidirect
1120. #449C2×D47semidirect
1121. #449C2×D47semidirect
1123. #448C2×D47semidirect
1124. #448C2×D47semidirect
1131. #447C2×D47semidirect
1152. #417C2×D47semidirect
1153. #417C2×D47semidirect
1160. #407C2×D47semidirect
1162. C47#61614semidirect

Maximal subgroups

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

subgroupindex
#202577082
#202570322
#202556892
#202556052
#202555482
#202554852
#202553682
#202553502
#202553092
#202552312
#202551162
#202550712
#202549932
#202549822
#202549322
#202549072
#202549062
#202548622
#202544952
#202544452
#202542662
#202542582
#202542302
#202541532
#202536252
#202535652
#202526872
#202526512
#202526062
#202524382
C47×#30062
#6161447