Finite Group Databasebeta

← #27102846

Subgroups — #27102846

Order 12032.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257685C211yesmaximal, characteristic, complemented
2#20257057C211yesmaximal, characteristic, complemented
3#20255722C211yesmaximal, characteristic, complemented
4#20255660C211yesmaximal, characteristic, complemented
5#20255612C211yesmaximal, characteristic, complemented
6#20255590C211yesmaximal, characteristic, complemented
7#20255470C211yesmaximal, characteristic, complemented
8#20255447C211yesmaximal, characteristic, complemented
9#20255402C211yesmaximal, characteristic, complemented
10#20255395C211yesmaximal, characteristic, complemented
11#20255048C211yesmaximal, characteristic, complemented
12#20255045C211yesmaximal, characteristic, complemented
13#20255013C211yesmaximal, characteristic, complemented
14#20254986C211yesmaximal, characteristic, complemented
15#20254967C211yesmaximal, characteristic, complemented
16#20254946C211yesmaximal, characteristic, complemented
17#20254892C211yesmaximal, characteristic, complemented
18#20254881C211yesmaximal, characteristic, complemented
19#20254488C211yesmaximal, characteristic, complemented
20#20254458C211yesmaximal, characteristic, complemented
21#20254289C211yesmaximal, characteristic, complemented
22#20254267C211yesmaximal, characteristic, complemented
23#20254204C211yesmaximal, characteristic, complemented
24#20254190C211yesmaximal, characteristic, complemented
25#20253651C211yesmaximal, characteristic, complemented
26#20253595C211yesmaximal, characteristic, complemented
27#20252696C211yesmaximal, characteristic, complemented
28#20252662C211yesmaximal, characteristic, complemented
29#20252630C211yesmaximal, characteristic, complemented
30#20252448C211yesmaximal, characteristic, complemented
31C47×#3007C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic
33C2×#13094056C2211yescharacteristic, complemented
34C2×#13094055C2211yescharacteristic, complemented
35C2×#13094051C2211yescharacteristic, complemented
36C2×#13094050C2211yescharacteristic, complemented
37C2×#13094047C2211yescharacteristic, complemented
38C2×SD16×D47C2211yescharacteristic, complemented
39#15689874—21no—
40#15689869—21no—
41#15689844C2211yescharacteristic, complemented
42#15689828—21no—
43#15689828C2211yescharacteristic, complemented
44#15689821—21no—
45#15689821C2211yescharacteristic, complemented
46#15689807C2211yescharacteristic, complemented
47#15689792C2211yescharacteristic
48#15689792C2211yescharacteristic
49Q8×C22⋊D47C2211yescharacteristic, complemented
50#15689784C2211yescharacteristic
51#15689784C2211yescharacteristic
52#15689784C2211yescharacteristic, complemented
53#15689783C2211yescharacteristic, complemented
54#15689775C2211yescharacteristic, complemented
55#15689761—21no—
56#15689761—21no—
57#15689761C2211yescharacteristic
58#15689761C2211yescharacteristic
59D4×C22⋊D47—21no—
60D4×C22⋊D47—21no—
61D4×C22⋊D47C2211yescharacteristic
62D4×C22⋊D47C2211yescharacteristic
63#15689746C2211yescharacteristic, complemented
64#15689743—21no—
65#15689733C2211yescharacteristic, complemented
66#15689719—21no—
67#15689711—21no—
68#15689711—21no—
69#15689703C2211yescharacteristic, complemented
70#15689701—21no—
71#15689701C2211yescharacteristic
72#15689696C2211yescharacteristic, complemented
73#15689687—21no—
74#15689687C2211yescharacteristic
75#15689634—21no—
76#15689634C2211yescharacteristic
77#15689634C2211yescharacteristic, complemented
78C2×#13093998—21no—
79C2×#13093998C2211yescharacteristic
80#15689606C2211yescharacteristic
81#15689516C2211yescharacteristic, complemented
82#15689509C2211yescharacteristic, complemented
83#15689508C2211yescharacteristic, complemented
84#15689494C2211yescharacteristic, complemented
85#15689486C2211yescharacteristic, complemented
86#15689484C2211yescharacteristic, complemented
87#15689479C2211yescharacteristic, complemented
88#15689468C2211yescharacteristic, complemented
89#15689462C2211yescharacteristic, complemented
90#15689457C2211yescharacteristic, complemented
91#15689456C2211yescharacteristic, complemented
92#15689456C2211yescharacteristic, complemented
93#15689454C2211yescharacteristic, complemented
94#15689448C2211yescharacteristic, complemented
95#15689448C2211yescharacteristic, complemented
96#15689446C2211yescharacteristic, complemented
97#15689437C2211yescharacteristic, complemented
98#15689436C2211yescharacteristic, complemented
99#15689436C2211yescharacteristic, complemented
100#15689435C2211yescharacteristic, complemented
101#15689428C2211yescharacteristic, complemented
102#15689425C2211yescharacteristic, complemented
103#15689416C2211yescharacteristic, complemented
104#15689401C2211yescharacteristic, complemented
105#15689378C2211yescharacteristic, complemented
106#15689376C2211yescharacteristic, complemented
107#15689376C2211yescharacteristic, complemented
108#15689372C2211yescharacteristic, complemented
109#15689371C2211yescharacteristic, complemented
110#15689371C2211yescharacteristic, complemented
111#15689371C2211yescharacteristic, complemented
112#15689371C2211yescharacteristic, complemented
113#15689369C2211yescharacteristic, complemented
114#15689369C2211yescharacteristic, complemented
115#15689368C2211yescharacteristic, complemented
116#15689366C2211yescharacteristic, complemented
117#15689363C2211yescharacteristic, complemented
118#15689361C2211yescharacteristic, complemented
119#15689358C2211yescharacteristic, complemented
120#15689349C2211yescharacteristic, complemented
121#15689348C2211yescharacteristic, complemented
122#15689347C2211yescharacteristic, complemented
123#15689347C2211yescharacteristic, complemented
124#15689347C2211yescharacteristic, complemented
125#15689341C2211yescharacteristic, complemented
126#15689340C2211yescharacteristic, complemented
127#15689331C2211yescharacteristic, complemented
128#15689326C2211yescharacteristic, complemented
129#15689322C2211yescharacteristic, complemented
130#15689321C2211yescharacteristic, complemented
131#15689321C2211yescharacteristic, complemented
132#15689317C2211yescharacteristic, complemented
133#15689288C2211yescharacteristic, complemented
134#15689285C2211yescharacteristic
135#15689285C2211yescharacteristic, complemented
136#15689285C2211yescharacteristic, complemented
137#15689285C2211yescharacteristic, complemented
138#15689284C2211yescharacteristic, complemented
139#15689284C2211yescharacteristic, complemented
140#15689284C2211yescharacteristic, complemented
141#15689277C2211yescharacteristic, complemented
142#15689276C2211yescharacteristic, complemented
143#15689275C2211yescharacteristic, complemented
144#15689273C2211yescharacteristic, complemented
145#15689273C2211yescharacteristic, complemented
146#15689272C2211yescharacteristic, complemented
147#15689272C2211yescharacteristic, complemented
148#15689271C2211yescharacteristic, complemented
149#15689270C2211yescharacteristic, complemented
150#15689270C2211yescharacteristic, complemented
151#15689268C2211yescharacteristic
152#15689268C2211yescharacteristic, complemented
153#15689268C2211yescharacteristic, complemented
154#15689268C2211yescharacteristic, complemented
155#15689267C2211yescharacteristic, complemented
156#15689262C2211yescharacteristic, complemented
157#15689262C2211yescharacteristic, complemented
158#15689260C2211yescharacteristic, complemented
159#15689259C2211yescharacteristic, complemented
160#15689258C2211yescharacteristic, complemented
161#15689230C2211yescharacteristic, complemented
162#15689226C2211yescharacteristic, complemented
163#15689224C2211yescharacteristic, complemented
164#15689220C2211yescharacteristic, complemented
165Q16×Dic47C2211yescharacteristic, complemented
166#15689215C2211yescharacteristic, complemented
167SD16×Dic47C2211yescharacteristic, complemented
168#15689203C2211yescharacteristic, complemented
169#15689199C2211yescharacteristic, complemented
170#15689199C2211yescharacteristic, complemented
171#15689198C2211yescharacteristic, complemented
172#15689198C2211yescharacteristic, complemented
173#15689197C2211yescharacteristic, complemented
174#15689197C2211yescharacteristic, complemented
175#15689192C2211yescharacteristic, complemented
176#15689192C2211yescharacteristic, complemented
177#15689181C2211yescharacteristic, complemented
178#15689181C2211yescharacteristic, complemented
179#15689132C2211yescharacteristic, complemented
180#15689128C2211yescharacteristic, complemented
181#15689126C2211yescharacteristic, complemented
182#15689123C2211yescharacteristic, complemented
183#15689118C2211yescharacteristic, complemented
184#102×D47C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186#15689088C2211yescharacteristic, complemented
187#15689087C2211yescharacteristic, complemented
188C22×#41×C47C2211yescharacteristic
189C2×#137×C47C2211yescharacteristic, complemented
190C2×#137×C47C2211yescharacteristic, complemented
191C2×C22⋊Q8×C47C2211yescharacteristic, complemented
192C47×#452C2211yescharacteristic
193C47×#452C2211yescharacteristic
194C47×#452C2211yescharacteristic, complemented
195C47×#452C2211yescharacteristic, complemented
196C47×#451C2211yescharacteristic, complemented
197C47×#451C2211yescharacteristic, complemented
198C47×#450C2211yescharacteristic, complemented
199C47×#450C2211yescharacteristic, complemented
200C47×#417C2211yescharacteristic, complemented
201C47×#417C2211yescharacteristic, complemented
202C47×#407C2211yescharacteristic, complemented
203#13094070—42no—
204#13094070—42no—
205C2×#10625354C2311yescharacteristic
206C2×#10625354C2311yescharacteristic
207C2×#10625354C2311yescharacteristic
208C2×#10625350—21no—
209C2×#10625350C2311yescharacteristic
210C2×#10625350C2311yescharacteristic
211C2×Q8×D47C2311yescharacteristic
212C22×D188—21no—
213C22×D188C2311yescharacteristic
214C22×C22⋊D47—21no—
215C22×C22⋊D47—21no—
216C22×C22⋊D47—21no—
217C2×D4×D47—21no—
218C2×D4×D47—21no—
219C2×D4×D47C2311yescharacteristic
220C2×D4×D47C2311yescharacteristic
221#13094056—42no—
222#13094055—42no—
223#13094051—42no—
224#13094050—42no—
225#13094047—42no—
226C2×#10625337C2311yescharacteristic
227C2×#10625337C2311yescharacteristic
228C2×#10625325C2311yescharacteristic
229C2×#10625325C2311yescharacteristic
230C2×#10625335C2311yescharacteristic
231C2×#10625335C2311yescharacteristic
232C2×#10625336C2311yescharacteristic
233C2×#10625336C2311yescharacteristic
234C2×#10625336C2311yescharacteristic
235C2×#10625336C2311yescharacteristic
236C2×#10625336C2311yescharacteristic
237C2×#10625336C2311yescharacteristic
238SD16×D47—42no—
239C2×D376C2311yescharacteristic
240C2×D376C2311yescharacteristic
241C2×#10625334C2311yescharacteristic
242C2×#10625334C2311yescharacteristic
243C2×#10625329C2311yescharacteristic
244C2×#10625329C2311yescharacteristic
245C2×#10625324C2311yescharacteristic
246C2×#10625324C2311yescharacteristic
247C2×C8×D47C2311yescharacteristic
248C2×C8×D47C2311yescharacteristic
249#13094023—21no—
250#13094023C2311yescharacteristic
251#13094022—21no—
252#13094022C2311yescharacteristic
253#13094020—21no—
254#13094020—21no—
255#13094020C2311yescharacteristic
256#13094020C2311yescharacteristic
257#13094019—21no—
258#13094019—21no—
259#13094019—21no—
260#13094017—21no—
261#13094017—21no—
262#13094017—21no—
263#13094017—21no—
264#13094015—21no—
265#13094015C2311yescharacteristic
266#13094014—21no—
267#13094014—21no—
268#13094014—21no—
269#13094013—21no—
270#13094013—21no—
271#13094013—21no—
272#13094013C2311yescharacteristic
273#13094013C2311yescharacteristic
274#13094013C2311yescharacteristic
275#13094010—21no—
276#13094010—21no—
277#13094010—21no—
278#13094010—21no—
279#13094009—21no—
280#13094009—21no—
281#13094009—21no—
282#13094007—21no—
283#13094007—21no—
284#13094007—21no—
285#13094007D411yescharacteristic
286#13094007D411yescharacteristic
287#13094006—21no—
288#13094006—21no—
289#13094006—21no—
290#13094006—21no—
291#13094004—21no—
292#13094004C2311yescharacteristic
293#13094003—21no—
294#13094003—21no—
295#13094003—21no—
296#13094003D411yescharacteristic
297#13094003D411yescharacteristic
298#13094003C2311yescharacteristic
299#13094003C2311yescharacteristic
300#13094002—21no—
301#13094002—21no—
302#13094002—21no—
303#13094000—21no—
304#13094000—21no—
305#13094000—21no—
306#13094000—21no—
307#13094000C2311yescharacteristic
308#13094000C2311yescharacteristic
309#13094000C2311yescharacteristic
310#13094000C2311yescharacteristic
311#13093999—21no—
312#13093999C2311yescharacteristic
313#13093998—21no—
314#13093998—21no—
315#13093998—21no—
316#13093998—21no—
317#13093998—21no—
318#13093998—21no—
319#13093998—21no—
320#13093998—21no—
321#13093998—21no—
322#13093998—21no—
323#13093998—21no—
324#13093998D411yescharacteristic
325#13093998D411yescharacteristic
326#13093998C2311yescharacteristic
327#13093998C2311yescharacteristic
328#13093998C2311yescharacteristic
329#13093998C2311yescharacteristic
330#13093998C2311yescharacteristic
331#13093998C2311yescharacteristic
332#13093997—21no—
333#13093997—21no—
334#13093997—21no—
335#13093997—21no—
336#13093996—21no—
337#13093996—21no—
338#13093996—21no—
339#13093996—21no—
340#13093996—21no—
341#13093996—21no—
342#13093995—21no—
343#13093995—21no—
344#13093995C2311yescharacteristic
345#13093995C2311yescharacteristic
346#13093993—21no—
347#13093993—21no—
348#13093993—21no—
349#13093993D411yescharacteristic
350#13093993D411yescharacteristic
351#13093992—21no—
352#13093992—21no—
353#13093992—21no—
354#13093992—21no—
355#13093992—21no—
356#13093992—21no—
357Q8×Dic47C2311yescharacteristic
358Q8×Dic47C2311yescharacteristic
359Q8×Dic47C2311yescharacteristic
360Q8×Dic47C2311yescharacteristic
361#13093989—21no—
362#13093989C2311yescharacteristic
363D4×Dic47—21no—
364D4×Dic47—21no—
365D4×Dic47C2311yescharacteristic
366D4×Dic47C2311yescharacteristic
367#13093986—21no—
368#13093986C2311yescharacteristic
369C4×C22⋊D47—21no—
370C4×C22⋊D47—21no—
371C4×C22⋊D47—21no—
372C4×C22⋊D47—21no—
373C4×C22⋊D47—21no—
374C4×C22⋊D47—21no—
375C4×C22⋊D47—21no—
376C4×C22⋊D47—21no—
377C4×C22⋊D47—21no—
378C4×C22⋊D47—21no—
379C4×C22⋊D47C2311yescharacteristic
380C4×C22⋊D47C2311yescharacteristic
381C4×C22⋊D47C2311yescharacteristic
382C4×C22⋊D47C2311yescharacteristic
383#13093983—21no—
384#13093983C2311yescharacteristic
385#13093983C2311yescharacteristic
386#13093982—21no—
387#13093982C2311yescharacteristic
388C2×C4⋊Dic47—21no—
389C2×C4⋊Dic47C2311yescharacteristic
390C4⋊C4×D47—21no—
391C4⋊C4×D47C2311yescharacteristic
392C2×(C2×D47)⋊C4—21no—
393C2×(C2×D47)⋊C4—21no—
394C2×(C2×D47)⋊C4—21no—
395#13093958C2311yescharacteristic
396#13093958C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093957C2311yescharacteristic
400#13093957C2311yescharacteristic
401#13093956C2311yescharacteristic
402#13093956C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406Dic47⋊C8C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093948C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
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×Q8×C47C2311yescharacteristic
453C22×D4×C47—21no—
454C22×D4×C47C2311yescharacteristic
455C23×C4×C47—21no—
456C23×C4×C47C2311yescharacteristic
457#137×C47—42no—
458#137×C47—42no—
459C2×Q16×C47C2311yescharacteristic
460C2×Q16×C47C2311yescharacteristic
461C2×Q16×C47C2311yescharacteristic
462C2×Q16×C47C2311yescharacteristic
463C2×SD16×C47C2311yescharacteristic
464C2×SD16×C47C2311yescharacteristic
465C2×SD16×C47C2311yescharacteristic
466C2×SD16×C47C2311yescharacteristic
467C2×M16×C47C2311yescharacteristic
468C2×M16×C47C2311yescharacteristic
469C22⋊Q8×C47—21no—
470C22⋊Q8×C47—21no—
471C22⋊Q8×C47C2311yescharacteristic
472C22⋊Q8×C47C2311yescharacteristic
473C22⋊Q8×C47C2311yescharacteristic
474C22⋊Q8×C47C2311yescharacteristic
475C2×C4⋊C4×C47—21no—
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×C47C2×D411yescharacteristic
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495#41×C47—22no—
496#41×C47—22no—
497#41×C47—22no—
498#41×C47—22no—
499#41×C47—41no—
500#41×C47—41no—
501#41×C47—41no—
502#41×C47—41no—
503#41×C47—44no—
504#41×C47—44no—
505C2×Q8×C47—21no—
506C2×Q8×C47—21no—
507C2×Q8×C47—22no—
508C2×Q8×C47—41no—
509C2×Q8×C47—41no—
510C2×Q8×C47—41no—
511C2×Q8×C47C2411yescharacteristic
512C2×Q8×C47C2411yescharacteristic
513C2×Q8×C47C2411yescharacteristic
514C2×Q8×C47C2411yescharacteristic
515C2×D4×C47—21no—
516C2×D4×C47—22no—
517C2×D4×C47—21no—
518C2×D4×C47—21no—
519C2×D4×C47—21no—
520C2×D4×C47—21no—
521C2×D4×C47—41no—
522C2×D4×C47—44no—
523C2×D4×C47C2411yescharacteristic
524C2×D4×C47C2411yescharacteristic
525C22×C4×C47—21no—
526C22×C4×C47—21no—
527C22×C4×C47—21no—
528C22×C4×C47—21no—
529C22×C4×C47—21no—
530C22×C4×C47—21no—
531C22×C4×C47—21no—
532C22×C4×C47—41no—
533C22×C4×C47—41no—
534C22×C4×C47—44no—
535C22×C4×C47C2×D411yescharacteristic
536C22×C4×C47C2×D411yescharacteristic
537C22×C4×C47C2×D411yescharacteristic
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—21no—
555C2×C22⋊D47—21no—
556C2×C22⋊D47—82no—
557C2×C22⋊D47—82no—
558C2×C22⋊D47—82no—
559C2×C22⋊D47C2×D411yescharacteristic
560C2×C22⋊D47C2×D411yescharacteristic
561C2×C22⋊D47C2×D411yescharacteristic
562C2×C22⋊D47C2×D411yescharacteristic
563C2×C22⋊D47C2×D411yescharacteristic
564C2×C22⋊D47C2×D411yescharacteristic
565C22×Dic47—21no—
566C22×Dic47—21no—
567C22×Dic47—21no—
568#10625354—22no—
569#10625354—22no—
570#10625354—41no—
571#10625354—41no—
572#10625354—41no—
573#10625354—41no—
574Q8×D47—41no—
575Q8×D47—41no—
576D4×D47—22no—
577D4×D47—22no—
578D4×D47—41no—
579D4×D47—41no—
580D4×D47—44no—
581D4×D47—44no—
582#10625350—41no—
583#10625350—41no—
584#10625350—41no—
585#10625350—41no—
586#10625350—44no—
587C2×D188—21no—
588C2×D188—21no—
589C2×D188—21no—
590C2×D188—21no—
591C2×D188—21no—
592C2×D188—41no—
593C2×D188—41no—
594C2×D188—44no—
595C2×D188C2×D411yescharacteristic
596C2×D188C2411yescharacteristic
597C2×D188C2411yescharacteristic
598C2×D188C2411yescharacteristic
599C2×C4×D47—21no—
600C2×C4×D47—21no—
601C2×C4×D47—21no—
602C2×C4×D47—21no—
603C2×C4×D47—21no—
604C2×C4×D47—21no—
605C2×C4×D47—21no—
606C2×C4×D47C2411yescharacteristic
607C2×C4×D47C2411yescharacteristic
608C2×Dic94—21no—
609C2×Dic94—21no—
610C2×Dic94C2×D411yescharacteristic
611C2×Dic94C2411yescharacteristic
612Q16×C47—22no—
613Q16×C47—22no—
614Q16×C47—41no—
615Q16×C47—41no—
616SD16×C47—22no—
617SD16×C47—22no—
618SD16×C47—41no—
619SD16×C47—41no—
620M16×C47—41no—
621M16×C47—41no—
622C2×C8×C47C2411yescharacteristic
623C2×C8×C47C2411yescharacteristic
624C2×C8×C47C2411yescharacteristic
625C2×C8×C47C2411yescharacteristic
626C4⋊C4×C47—21no—
627C4⋊C4×C47—21no—
628C4⋊C4×C47—21no—
629C4⋊C4×C47—21no—
630C4⋊C4×C47—21no—
631C4⋊C4×C47C2411yescharacteristic
632C4⋊C4×C47C2411yescharacteristic
633C22⋊C4×C47—21no—
634C22⋊C4×C47—21no—
635C22⋊C4×C47—21no—
636C22⋊C4×C47—21no—
637C22⋊Dic47—21no—
638C22⋊Dic47—21no—
639C22⋊Dic47—21no—
640C22⋊Dic47—21no—
641C22⋊Dic47—21no—
642C22⋊Dic47—21no—
643C22⋊Dic47—21no—
644C22⋊Dic47C2×D411yescharacteristic
645C22⋊Dic47C2×D411yescharacteristic
646C22⋊Dic47C2×D411yescharacteristic
647C22⋊Dic47C2×D411yescharacteristic
648C22⋊Dic47C2×D411yescharacteristic
649C22⋊Dic47C2×D411yescharacteristic
650#10625337—22no—
651#10625337—41no—
652#10625336—22no—
653#10625336—41no—
654#10625336—41no—
655#10625336—41no—
656#10625336—41no—
657#10625336—41no—
658#10625335—22no—
659#10625335—41no—
660#10625334—22no—
661#10625334—41no—
662(C2×D47)⋊C4—21no—
663(C2×D47)⋊C4—21no—
664(C2×D47)⋊C4—21no—
665(C2×D47)⋊C4—21no—
666(C2×D47)⋊C4—21no—
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)⋊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)⋊C4C2×D411yescharacteristic
683(C2×D47)⋊C4C2×D411yescharacteristic
684(C2×D47)⋊C4C2×D411yescharacteristic
685(C2×D47)⋊C4C2×D411yescharacteristic
686C4⋊Dic47—21no—
687C4⋊Dic47—21no—
688C4⋊Dic47—21no—
689C4⋊Dic47—21no—
690C4⋊Dic47—21no—
691C4⋊Dic47—21no—
692C4⋊Dic47—21no—
693C4⋊Dic47C2×D411yescharacteristic
694C4⋊Dic47C2×D411yescharacteristic
695C4⋊Dic47C2411yescharacteristic
696C4⋊Dic47C2411yescharacteristic
697C4⋊Dic47C2411yescharacteristic
698C4⋊Dic47C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
712Dic47⋊C4C2×D411yescharacteristic
713Dic47⋊C4C2×D411yescharacteristic
714Dic47⋊C4C2×D411yescharacteristic
715C4×Dic47—21no—
716C4×Dic47—21no—
717C4×Dic47—21no—
718C4×Dic47—21no—
719C4×Dic47—21no—
720C4×Dic47—21no—
721C4×Dic47—21no—
722C4×Dic47C2411yescharacteristic
723C4×Dic47C2411yescharacteristic
724#10625329—41no—
725#10625329—41no—
726C2×C47⋊C8C2411yescharacteristic
727C2×C47⋊C8C2411yescharacteristic
728C2×C47⋊C8C2411yescharacteristic
729C2×C47⋊C8C2411yescharacteristic
730D376—41no—
731D376—41no—
732#10625325—41no—
733#10625325—41no—
734#10625324—41no—
735#10625324—41no—
736C8×D47—41no—
737C8×D47—41no—
738C23×C47—21no—
739C23×C47—21no—
740C23×C47—41no—
741C23×C47—41no—
742C23×C47—41no—
743C23×C47—42no—
744C23×C47—42no—
745C23×C47—81no—
746C23×C47C22×D411yescharacteristic
747C23×C47C22×D411yescharacteristic
748C23×C47C22×D411yescharacteristic
749C22×D47—21no—
750C22×D47—21no—
751C22×D47—21no—
752C22×D47—42no—
753C22×D47—42no—
754C22×D47—42no—
755C22×D47—81no—
756C22×D47—81no—
757C22×D47—81no—
758C22×D47—81no—
759C22×D47—81no—
760C22×D47—81no—
761C22×D47C22×D411yescharacteristic
762C22×D47C22×D411yescharacteristic
763Q8×C47—21no—
764Q8×C47—21no—
765Q8×C47—21no—
766Q8×C47—21no—
767Q8×C47—21no—
768Q8×C47—21no—
769Q8×C47—21no—
770Q8×C47—42no—
771Q8×C47—81no—
772Q8×C47H(5,𝔽2)12yes—
773D4×C47—24no—
774D4×C47—21no—
775D4×C47—21no—
776D4×C47—21no—
777D4×C47—42no—
778D4×C47—42no—
779D4×C47—42no—
780D4×C47—42no—
781D4×C47H(5,𝔽2)12yes—
782C2×C4×C47—24no—
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—21no—
793C2×C4×C47—21no—
794C2×C4×C47—21no—
795C2×C4×C47—41no—
796C2×C4×C47—41no—
797C2×C4×C47—41no—
798C2×C4×C47—42no—
799C2×C4×C47—42no—
800C2×C4×C47—42no—
801C2×C4×C47—42no—
802C2×C4×C47—81no—
803C2×C4×C47—81no—
804C2×C4×C47C22×D411yescharacteristic
805C2×C4×C47C22×D411yescharacteristic
806C2×C4×C47C22×D411yescharacteristic
807C2×C4×C47C2511yescharacteristic
808C22⋊D47—41no—
809C22⋊D47—41no—
810C22⋊D47—41no—
811C22⋊D47—41no—
812C22⋊D47—41no—
813C22⋊D47—41no—
814C22⋊D47—42no—
815C22⋊D47—42no—
816C22⋊D47—42no—
817C22⋊D47—42no—
818C22⋊D47—42no—
819C22⋊D47—81no—
820C22⋊D47—81no—
821C22⋊D47—81no—
822C22⋊D47—81no—
823C22⋊D47—81no—
824C22⋊D47—81no—
825C22⋊D47—81no—
826C22⋊D47—81no—
827C22⋊D47—81no—
828C22⋊D47—81no—
829C2×Dic47—21no—
830C2×Dic47—21no—
831C2×Dic47—21no—
832C2×Dic47—21no—
833C2×Dic47—21no—
834C2×Dic47—81no—
835C2×Dic47—81no—
836C2×Dic47—81no—
837C2×Dic47C22×D411yescharacteristic
838C2×Dic47C22×D411yescharacteristic
839C2×Dic47C22×D411yescharacteristic
840C2×Dic47C22×D411yescharacteristic
841C2×Dic47C22×D411yescharacteristic
842C2×Dic47C22×D411yescharacteristic
843D188—21no—
844D188—21no—
845D188—21no—
846D188—21no—
847D188—21no—
848D188—21no—
849D188—41no—
850D188—42no—
851D188—42no—
852D188—42no—
853D188—81no—
854D188—81no—
855C4×D47—21no—
856C4×D47—21no—
857C4×D47—21no—
858C4×D47—21no—
859C4×D47—42no—
860C4×D47—42no—
861C4×D47—81no—
862C4×D47—81no—
863C4×D47—81no—
864C4×D47—81no—
865C4×D47—81no—
866Dic94—21no—
867Dic94—21no—
868Dic94—41no—
869Dic94—81no—
870Dic94—81no—
871C8×C47—21no—
872C8×C47—21no—
873C8×C47—21no—
874C8×C47—21no—
875C47⋊C8—21no—
876C47⋊C8—21no—
877C47⋊C8—21no—
878C47⋊C8—21no—
879#61654—471nomaximal, Sylow
880C22×C47—21no—
881C22×C47—21no—
882C22×C47—21no—
883C22×C47—21no—
884C22×C47—21no—
885C22×C47—21no—
886C22×C47—21no—
887C22×C47—22no—
888C22×C47—21no—
889C22×C47—21no—
890C22×C47—41no—
891C22×C47—41no—
892C22×C47—41no—
893C22×C47—41no—
894C22×C47—41no—
895C22×C47—82no—
896C22×C47—84no—
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—41no—
908C2×D47—41no—
909C2×D47—41no—
910C2×D47—41no—
911C2×D47—41no—
912C2×D47—41no—
913C2×D47—162no—
914C2×D47—162no—
915C2×D47—162no—
916C4×C47—21no—
917C4×C47—22no—
918C4×C47—21no—
919C4×C47—21no—
920C4×C47—41no—
921C4×C47—41no—
922C4×C47—41no—
923C4×C47—41no—
924C4×C47—41no—
925C4×C47C2×H(5,𝔽2)11yescharacteristic
926C4×C47C2×H(5,𝔽2)11yescharacteristic
927Dic47—21no—
928Dic47—21no—
929Dic47—21no—
930Dic47—21no—
931Dic47—21no—
932Dic47—21no—
933Dic47—41no—
934Dic47—41no—
935Dic47—41no—
936Dic47—41no—
937Dic47—41no—
938#3541—471no—
939#3488—471no—
940#3333—471no—
941#3327—471no—
942#3324—471no—
943#3322—471no—
944#3314—471no—
945#3313—471no—
946#3310—471no—
947#3309—471no—
948#3278—471no—
949#3277—471no—
950#3275—471no—
951#3272—471no—
952#3271—471no—
953#3269—471no—
954#3266—471no—
955#3265—471no—
956#3224—471no—
957#3222—471no—
958#3203—471no—
959#3201—471no—
960#3194—471no—
961#3193—471no—
962#3124—471no—
963#3120—471no—
964#3012—471no—
965#3009—471no—
966#3007D4711yescharacteristic, complemented
967#3005—471no—
968#2978—471no—
969C2×C47—41no—
970C2×C47—42no—
971C2×C47—41no—
972C2×C47—41no—
973C2×C47—81no—
974C2×C47#348411yescharacteristic
975C2×C47#358511yescharacteristic
976C2×C47#358611yescharacteristic
977D47—41no—
978D47—41no—
979D47—81no—
980D47—81no—
981D47—81no—
982C2×H(5,𝔽2)—471no—
983C22×#41C2×D4711yescharacteristic
984C2×#137—471no—
985C2×#137—471no—
986C2×#137C2×D4711yescharacteristic, complemented
987C2×#137C2×D4711yescharacteristic, complemented
988C2×AGL(1,ℤ/8)—471no—
989C2×AGL(1,ℤ/8)—471no—
990C2×#135—471no—
991C22×SD16—471no—
992#563—941no—
993#562—941no—
994#556—471no—
995#554—471no—
996#554—941no—
997#553—471no—
998#553—941no—
999#552—471no—
1000#550—471no—
1001#550—471no—
1002D4×Q8—471no—
1003#548—471no—
1004#548—471no—
1005#548—471no—
1006#548—471no—
1007#547—471no—
1008#546—471no—
1009#546—471no—
1010#546—941no—
1011#546—941no—
1012D42—471no—
1013D42—471no—
1014D42—941no—
1015D42—941no—
1016#542—471no—
1017#542—941no—
1018#541—471no—
1019#539—941no—
1020#538—941no—
1021#538—941no—
1022#537—471no—
1023#537—471no—
1024#537—941no—
1025#536—471no—
1026#535—471no—
1027#535—941no—
1028#525—471no—
1029#525—471no—
1030#525—941no—
1031C2×C22⋊Q8C2×D4711yescharacteristic, complemented
1032C2×#121—471no—
1033C2×#121—941no—
1034#520—471no—
1035#497—471no—
1036#496—471no—
1037#495—471no—
1038#492—471no—
1039#490—471no—
1040#489—471no—
1041#488—471no—
1042#486—471no—
1043#485—471no—
1044#484—471no—
1045#484—471no—
1046#484—471no—
1047#483—471no—
1048#482—471no—
1049#482—471no—
1050#482—471no—
1051#480—471no—
1052#480—471no—
1053#480—471no—
1054#480—471no—
1055#479—471no—
1056#478—471no—
1057#477—471no—
1058#474—471no—
1059#470—471no—
1060#469—471no—
1061#469—471no—
1062#468—471no—
1063#468—471no—
1064#468—471no—
1065#468—471no—
1066#468—471no—
1067#468—471no—
1068#468—471no—
1069#468—471no—
1070#468—471no—
1071#467—471no—
1072#467—471no—
1073#466—471no—
1074#465—471no—
1075#464—471no—
1076#464—471no—
1077#464—471no—
1078#464—471no—
1079#463—471no—
1080#463—471no—
1081#462—471no—
1082#461—471no—
1083#460—471no—
1084#460—471no—
1085#460—471no—
1086#459—471no—
1087#452—471no—
1088#452—471no—
1089#452—471no—
1090#452—471no—
1091#452—471no—
1092#452—471no—
1093#452—471no—
1094#452—471no—
1095#452C2×D4711yescharacteristic
1096#452C2×D4711yescharacteristic
1097#452C2×D4711yescharacteristic, complemented
1098#452C2×D4711yescharacteristic, complemented
1099#451—471no—
1100#451C2×D4711yescharacteristic, complemented
1101#451C2×D4711yescharacteristic, complemented
1102#450—471no—
1103#450—471no—
1104#450—471no—
1105#450—471no—
1106#450—471no—
1107#450—471no—
1108#450C2×D4711yescharacteristic, complemented
1109#450C2×D4711yescharacteristic, complemented
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#448—471no—
1119#448—471no—
1120#448—471no—
1121#447—471no—
1122#447—471no—
1123#441—471no—
1124#440—471no—
1125#440—471no—
1126#440—471no—
1127C4×Q16—471no—
1128C4×Q16—471no—
1129C4×SD16—471no—
1130C4×D8—471no—
1131#436—471no—
1132#436—471no—
1133#436—471no—
1134#436—471no—
1135#435—471no—
1136#435—471no—
1137#435—471no—
1138#435—471no—
1139#433—471no—
1140#433—471no—
1141#419—471no—
1142#418—471no—
1143#418—471no—
1144#417—471no—
1145#417C2×D4711yescharacteristic, complemented
1146#417C2×D4711yescharacteristic, complemented
1147#416—471no—
1148C2×#102—471no—
1149#408—471no—
1150#408—471no—
1151#407—471no—
1152#407C2×D4711yescharacteristic, complemented
1153C47#6165411yescharacteristic, complemented, Sylow
1154H(5,𝔽2)—1882no—
1155H(5,𝔽2)—1882no—
1156C2×#41—21no—
1157C2×#41—21no—
1158C2×#41—42no—
1159C2×#41—42no—
1160C2×#41—471no—
1161C2×#41—471no—
1162C2×#41—471no—
1163C2×#41—471no—
1164C2×#41—471no—
1165C2×#41—941no—
1166C2×#41C22×D4711yescharacteristic
1167C2×#41C22×D4711yescharacteristic
1168C2×#41C22×D4711yescharacteristic
1169C2×#41C22×D4711yescharacteristic
1170C22×Q8—471no—
1171C22×Q8C22×D4711yescharacteristic
1172C22×Q8C22×D4711yescharacteristic
1173C22×D4—21no—
1174C22×D4—471no—
1175C22×D4—471no—
1176C22×D4—471no—
1177C22×D4—941no—
1178C22×D4—941no—
1179C22×D4—941no—
1180C22×D4—941no—
1181C22×D4—941no—
1182C22×D4—941no—
1183C22×D4C22×D4711yescharacteristic
1184C23×C4—21no—
1185C23×C4C22×D4711yescharacteristic
1186#137—42no—
1187#137—42no—
1188#137—1882no—
1189#137—1882no—
1190AGL(1,ℤ/8)—1882no—
1191AGL(1,ℤ/8)—1882no—
1192#135—1882no—
1193C2×Q16—471no—
1194C2×Q16—471no—
1195C2×Q16C22×D4711yescharacteristic
1196C2×Q16C22×D4711yescharacteristic
1197C2×Q16C22×D4711yescharacteristic
1198C2×Q16C22×D4711yescharacteristic
1199C2×SD16—471no—
1200C2×SD16—471no—
1201C2×SD16—471no—
1202C2×SD16—471no—
1203C2×SD16—471no—
1204C2×SD16—471no—
1205C2×SD16—471no—
1206C2×SD16—471no—
1207C2×SD16—471no—
1208C2×SD16—471no—
1209C2×SD16—1882no—
1210C2×SD16C22×D4711yescharacteristic
1211C2×SD16C22×D4711yescharacteristic
1212C2×SD16C22×D4711yescharacteristic
1213C2×SD16C22×D4711yescharacteristic
1214C2×D8—471no—
1215C2×D8—471no—
1216C2×D8—471no—
1217C2×D8—471no—
1218C2×M16—471no—
1219C2×M16—471no—
1220C2×M16—471no—
1221C2×M16—471no—
1222C2×M16C22×D4711yescharacteristic
1223C2×M16C22×D4711yescharacteristic
1224C22×C8—471no—
1225C22×C8—471no—
1226C4⋊Q8—471no—
1227C4⋊Q8—471no—
1228C4⋊Q8—941no—
1229C4⋊Q8—941no—
1230#127—471no—
1231#127—471no—
1232#127—941no—
1233#127—941no—
1234#126—941no—
1235#126—941no—
1236#126—941no—
1237#126—941no—
1238#126—941no—
1239#126—941no—
1240#126—941no—
1241#125—471no—
1242#125—941no—
1243#125—941no—
1244#125—941no—
1245#125—941no—
1246#124—471no—
1247#124—471no—
1248#124—471no—
1249#124—941no—
1250#124—941no—
1251#124—941no—
1252#124—941no—
1253#124—941no—
1254#124—941no—
1255#124—941no—
1256#123—471no—
1257#123—471no—
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—21no—
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—941no—
1280C22⋊Q8—941no—
1281C22⋊Q8—941no—
1282C22⋊Q8—941no—
1283C22⋊Q8—941no—
1284C22⋊Q8—941no—
1285C22⋊Q8—941no—
1286C22⋊Q8—941no—
1287C22⋊Q8—941no—
1288C22⋊Q8—941no—
1289C22⋊Q8—941no—
1290C22⋊Q8C22×D4711yescharacteristic
1291C22⋊Q8C22×D4711yescharacteristic
1292C22⋊Q8C22×D4711yescharacteristic
1293C22⋊Q8C22×D4711yescharacteristic
1294#121—471no—
1295#121—471no—
1296#121—471no—
1297#121—471no—
1298#121—471no—
1299#121—471no—
1300#121—471no—
1301#121—471no—
1302#121—471no—
1303#121—471no—
1304#121—471no—
1305#121—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#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#120—471no—
1330#120—471no—
1331#120—941no—
1332#120—941no—
1333#120—941no—
1334#120—941no—
1335#120—941no—
1336#120—941no—
1337#120—941no—
1338#120—941no—
1339#120—941no—
1340C4×Q8—471no—
1341C4×Q8—471no—
1342C4×Q8—471no—
1343C4×Q8—471no—
1344C4×Q8—471no—
1345C4×Q8—941no—
1346C4×D4—471no—
1347C4×D4—471no—
1348C4×D4—471no—
1349C4×D4—471no—
1350C4×D4—471no—
1351C4×D4—471no—
1352C4×D4—471no—
1353C4×D4—941no—
1354C4×D4—941no—
1355C4×D4—941no—
1356C4×D4—941no—
1357C4×D4—941no—
1358C4×D4—941no—
1359C4×D4—941no—
1360C4×D4—941no—
1361C4×D4—941no—
1362C4×D4—941no—
1363C4×D4—941no—
1364C4×D4—941no—
1365C4×D4—941no—
1366#117—471no—
1367#117—471no—
1368#117—471no—
1369#117—941no—
1370#117—941no—
1371C2×C4⋊C4—21no—
1372C2×C4⋊C4—471no—
1373C2×C4⋊C4—471no—
1374C2×C4⋊C4—941no—
1375C2×C4⋊C4—941no—
1376C2×C4⋊C4C22×D4711yescharacteristic
1377C2×C22⋊C4—21no—
1378C2×C22⋊C4—941no—
1379C2×C22⋊C4—941no—
1380C2×C22⋊C4—941no—
1381#107—471no—
1382#107—471no—
1383#107—471no—
1384#107—471no—
1385#107—471no—
1386#107—471no—
1387#106—471no—
1388#106—471no—
1389C4⋊C8—471no—
1390C4⋊C8—471no—
1391C4⋊C8—471no—
1392C4⋊C8—471no—
1393#103—471no—
1394#103—471no—
1395#103—471no—
1396#103—471no—
1397#103—471no—
1398#103—471no—
1399#103—471no—
1400#103—471no—
1401#103—471no—
1402#103—471no—
1403#103C22×D4711yescharacteristic
1404#103C22×D4711yescharacteristic
1405#103C22×D4711yescharacteristic
1406#103C22×D4711yescharacteristic
1407#102—471no—
1408#102—471no—
1409#102—471no—
1410#102—471no—
1411#102—471no—
1412#102—471no—
1413#102—471no—
1414#102—471no—
1415#102—471no—
1416#102—471no—
1417#102—471no—
1418#102—471no—
1419#102—471no—
1420#102—471no—
1421#102C22×D4711yescharacteristic
1422#102C22×D4711yescharacteristic
1423#102C22×D4711yescharacteristic
1424#102C22×D4711yescharacteristic
1425C22⋊C8—471no—
1426C22⋊C8—471no—
1427C22⋊C8—471no—
1428C22⋊C8—471no—
1429C22⋊C8—471no—
1430C22⋊C8—471no—
1431C22⋊C8—471no—
1432C22⋊C8—471no—
1433C22⋊C8C22×D4711yescharacteristic
1434C22⋊C8C22×D4711yescharacteristic
1435C22⋊C8C22×D4711yescharacteristic
1436C22⋊C8C22×D4711yescharacteristic
1437#97—471no—
1438#97—471no—
1439C4×C8—471no—
1440C4×C8—471no—
1441C24—21no—
1442C24—941no—
1443C24—941no—
1444C24—941no—
1445C24D4×D4711yescharacteristic
1446#41—22no—
1447#41—22no—
1448#41—22no—
1449#41—22no—
1450#41—41no—
1451#41—41no—
1452#41—41no—
1453#41—41no—
1454#41—44no—
1455#41—44no—
1456#41—942no—
1457#41—942no—
1458#41—1881no—
1459#41—1881no—
1460#41—1881no—
1461#41—1881no—
1462#41—1884no—
1463#41—1881no—
1464#41—1881no—
1465#41—1881no—
1466#41—1881no—
1467C2×Q8—21no—
1468C2×Q8—21no—
1469C2×Q8—22no—
1470C2×Q8—41no—
1471C2×Q8—41no—
1472C2×Q8—41no—
1473C2×Q8—471no—
1474C2×Q8—471no—
1475C2×Q8—941no—
1476C2×Q8—941no—
1477C2×Q8—1881no—
1478C2×Q8—1881no—
1479C2×Q8C23×D4711yescharacteristic
1480C2×Q8C23×D4711yescharacteristic
1481C2×Q8C23×D4711yescharacteristic
1482C2×Q8C23×D4711yescharacteristic
1483C2×D4—21no—
1484C2×D4—22no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—41no—
1490C2×D4—44no—
1491C2×D4—471no—
1492C2×D4—471no—
1493C2×D4—471no—
1494C2×D4—471no—
1495C2×D4—471no—
1496C2×D4—471no—
1497C2×D4—471no—
1498C2×D4—471no—
1499C2×D4—471no—
1500C2×D4—471no—
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—942no—
1512C2×D4—942no—
1513C2×D4—941no—
1514C2×D4—941no—
1515C2×D4—941no—
1516C2×D4—941no—
1517C2×D4—941no—
1518C2×D4—941no—
1519C2×D4—941no—
1520C2×D4—941no—
1521C2×D4—941no—
1522C2×D4—941no—
1523C2×D4—3762no—
1524C2×D4—3762no—
1525C2×D4—3762no—
1526C2×D4—1881no—
1527C2×D4—1881no—
1528C2×D4—1884no—
1529C2×D4—1881no—
1530C2×D4—1881no—
1531C2×D4—1884no—
1532C2×D4—1884no—
1533C2×D4C23×D4711yescharacteristic
1534C2×D4C23×D4711yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—21no—
1541C22×C4—21no—
1542C22×C4—41no—
1543C22×C4—41no—
1544C22×C4—44no—
1545C22×C4—471no—
1546C22×C4—471no—
1547C22×C4—941no—
1548C22×C4—941no—
1549C22×C4—941no—
1550C22×C4—941no—
1551C22×C4—941no—
1552C22×C4—941no—
1553C22×C4—941no—
1554C22×C4—941no—
1555C22×C4—941no—
1556C22×C4—941no—
1557C22×C4D4×D4711yescharacteristic
1558C22×C4D4×D4711yescharacteristic
1559C22×C4D4×D4711yescharacteristic
1560C22×C4C23×D4711yescharacteristic
1561C22×C4C23×D4711yescharacteristic
1562C22×C4C23×D4711yescharacteristic
1563Q16—22no—
1564Q16—22no—
1565Q16—41no—
1566Q16—41no—
1567Q16—942no—
1568Q16—1881no—
1569SD16—22no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—942no—
1574SD16—942no—
1575SD16—1881no—
1576SD16—1881no—
1577SD16—1881no—
1578SD16—1881no—
1579SD16—1881no—
1580SD16—1881no—
1581SD16—1881no—
1582SD16—1881no—
1583D8—942no—
1584D8—1881no—
1585D8—1881no—
1586D8—1881no—
1587M16—41no—
1588M16—41no—
1589M16—1881no—
1590M16—1881no—
1591M16—1881no—
1592M16—1881no—
1593C2×C8—471no—
1594C2×C8—471no—
1595C2×C8—471no—
1596C2×C8—471no—
1597C2×C8—1881no—
1598C2×C8—1881no—
1599C2×C8C23×D4711yescharacteristic
1600C2×C8C23×D4711yescharacteristic
1601C2×C8C23×D4711yescharacteristic
1602C2×C8C23×D4711yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—471no—
1609C4⋊C4—471no—
1610C4⋊C4—471no—
1611C4⋊C4—471no—
1612C4⋊C4—471no—
1613C4⋊C4—471no—
1614C4⋊C4—471no—
1615C4⋊C4—471no—
1616C4⋊C4—471no—
1617C4⋊C4—471no—
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⋊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⋊C4C23×D4711yescharacteristic
1638C4⋊C4C23×D4711yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—471no—
1644C22⋊C4—471no—
1645C22⋊C4—471no—
1646C22⋊C4—471no—
1647C22⋊C4—471no—
1648C22⋊C4—471no—
1649C22⋊C4—471no—
1650C22⋊C4—471no—
1651C22⋊C4—471no—
1652C22⋊C4—471no—
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—
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—
1680C42—471no—
1681C42—471no—
1682C42—941no—
1683C42—941no—
1684C42—941no—
1685C42—941no—
1686C42—941no—
1687C42—941no—
1688C42—941no—
1689C23—21no—
1690C23—21no—
1691C23—41no—
1692C23—41no—
1693C23—41no—
1694C23—42no—
1695C23—42no—
1696C23—81no—
1697C23—471no—
1698C23—471no—
1699C23—941no—
1700C23—941no—
1701C23—941no—
1702C23—3761no—
1703C23—3761no—
1704C23—3761no—
1705C23—3761no—
1706C23—3761no—
1707C23—3761no—
1708C23—1882no—
1709C23—1882no—
1710C23—1882no—
1711C23C2×D4×D4711yescharacteristic
1712C23C2×D4×D4711yescharacteristic
1713C23C2×D4×D4711yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—21no—
1721Q8—42no—
1722Q8—81no—
1723Q8—941no—
1724Q8—941no—
1725Q8—3761no—
1726Q8—3761no—
1727Q8—1881no—
1728Q8#1309406912yes—
1729D4—24no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—42no—
1734D4—42no—
1735D4—42no—
1736D4—42no—
1737D4—941no—
1738D4—941no—
1739D4—941no—
1740D4—941no—
1741D4—941no—
1742D4—941no—
1743D4—3761no—
1744D4—3761no—
1745D4—3761no—
1746D4—3761no—
1747D4—3761no—
1748D4—3761no—
1749D4—3761no—
1750D4—3761no—
1751D4—3761no—
1752D4—3761no—
1753D4—3761no—
1754D4—3761no—
1755D4—1881no—
1756D4—1882no—
1757D4—1882no—
1758D4—1882no—
1759D4—1881no—
1760D4—1881no—
1761D4—1881no—
1762D4—1881no—
1763D4—1881no—
1764D4—1881no—
1765D4—1882no—
1766D4—1882no—
1767D4—1882no—
1768D4—1882no—
1769D4—1882no—
1770D4#1309406912yes—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—42no—
1788C2×C4—42no—
1789C2×C4—42no—
1790C2×C4—42no—
1791C2×C4—81no—
1792C2×C4—81no—
1793C2×C4—471no—
1794C2×C4—471no—
1795C2×C4—471no—
1796C2×C4—471no—
1797C2×C4—471no—
1798C2×C4—471no—
1799C2×C4—941no—
1800C2×C4—941no—
1801C2×C4—941no—
1802C2×C4—941no—
1803C2×C4—941no—
1804C2×C4—941no—
1805C2×C4—941no—
1806C2×C4—941no—
1807C2×C4—941no—
1808C2×C4—3761no—
1809C2×C4—3761no—
1810C2×C4—3761no—
1811C2×C4—3761no—
1812C2×C4—3761no—
1813C2×C4—3761no—
1814C2×C4—3761no—
1815C2×C4—3761no—
1816C2×C4—1882no—
1817C2×C4—1882no—
1818C2×C4C2×D4×D4711yescharacteristic
1819C2×C4C2×D4×D4711yescharacteristic
1820C2×C4C2×D4×D4711yescharacteristic
1821C2×C4C24×D4711yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—941no—
1827C8—941no—
1828C8—941no—
1829C8—941no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—22no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—82no—
1846C22—84no—
1847C22—941no—
1848C22—941no—
1849C22—941no—
1850C22—941no—
1851C22—941no—
1852C22—941no—
1853C22—1881no—
1854C22—1881no—
1855C22—1881no—
1856C22—1881no—
1857C22—1881no—
1858C22—1881no—
1859C22—1881no—
1860C22—1881no—
1861C22—1881no—
1862C22—7522no—
1863C22—7522no—
1864C22—7522no—
1865C22C22×D4×D4711yescharacteristic
1866C4—21no—
1867C4—22no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—941no—
1876C4—941no—
1877C4—941no—
1878C4—941no—
1879C4—941no—
1880C4—941no—
1881C4—1881no—
1882C4—1881no—
1883C4—1881no—
1884C4—1881no—
1885C4—1881no—
1886C4C2×#1309406911yescharacteristic
1887C4C2×#1309406911yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—42no—
1892C2—81no—
1893C2—3761no—
1894C2—3761no—
1895C2—3761no—
1896C2—1881no—
1897C2—1881no—
1898C2#2025701711yescharacteristic
1899C2#2025816511yescharacteristic
1900C2#2025817111yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3007C2
socleC22×C47C23×D4
hypercenter#3007D47
hypocenterC47#61654
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3007

Complements

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

NH ≅ G/Ntype
1. #20257685C2semidirect
2. #20257057C2semidirect
3. #20255722C2semidirect
4. #20255660C2semidirect
5. #20255612C2semidirect
6. #20255590C2semidirect
7. #20255470C2semidirect
8. #20255447C2semidirect
9. #20255402C2semidirect
10. #20255395C2semidirect
11. #20255048C2semidirect
12. #20255045C2semidirect
13. #20255013C2semidirect
14. #20254986C2semidirect
15. #20254967C2semidirect
16. #20254946C2semidirect
17. #20254892C2semidirect
18. #20254881C2semidirect
19. #20254488C2semidirect
20. #20254458C2semidirect
21. #20254289C2semidirect
22. #20254267C2semidirect
23. #20254204C2semidirect
24. #20254190C2semidirect
25. #20253651C2semidirect
26. #20253595C2semidirect
27. #20252696C2semidirect
28. #20252662C2semidirect
29. #20252630C2semidirect
30. #20252448C2semidirect
31. C47×#3007C2semidirect
33. C2×#13094056C22semidirect
34. C2×#13094055C22semidirect
35. C2×#13094051C22semidirect
36. C2×#13094050C22semidirect
37. C2×#13094047C22semidirect
38. C2×SD16×D47C22semidirect
41. #15689844C22semidirect
43. #15689828C22semidirect
45. #15689821C22semidirect
46. #15689807C22semidirect
49. Q8×C22⋊D47C22semidirect
52. #15689784C22semidirect
53. #15689783C22semidirect
54. #15689775C22semidirect
63. #15689746C22semidirect
65. #15689733C22semidirect
69. #15689703C22semidirect
72. #15689696C22semidirect
77. #15689634C22semidirect
81. #15689516C22semidirect
82. #15689509C22semidirect
83. #15689508C22semidirect
84. #15689494C22semidirect
85. #15689486C22semidirect
86. #15689484C22semidirect
87. #15689479C22semidirect
88. #15689468C22semidirect
89. #15689462C22semidirect
90. #15689457C22semidirect
91. #15689456C22semidirect
92. #15689456C22semidirect
93. #15689454C22semidirect
94. #15689448C22semidirect
95. #15689448C22semidirect
96. #15689446C22semidirect
97. #15689437C22semidirect
98. #15689436C22semidirect
99. #15689436C22semidirect
100. #15689435C22semidirect
101. #15689428C22semidirect
102. #15689425C22semidirect
103. #15689416C22semidirect
104. #15689401C22semidirect
105. #15689378C22semidirect
106. #15689376C22semidirect
107. #15689376C22semidirect
108. #15689372C22semidirect
109. #15689371C22semidirect
110. #15689371C22semidirect
111. #15689371C22semidirect
112. #15689371C22semidirect
113. #15689369C22semidirect
114. #15689369C22semidirect
115. #15689368C22semidirect
116. #15689366C22semidirect
117. #15689363C22semidirect
118. #15689361C22semidirect
119. #15689358C22semidirect
120. #15689349C22semidirect
121. #15689348C22semidirect
122. #15689347C22semidirect
123. #15689347C22semidirect
124. #15689347C22semidirect
125. #15689341C22semidirect
126. #15689340C22semidirect
127. #15689331C22semidirect
128. #15689326C22semidirect
129. #15689322C22semidirect
130. #15689321C22semidirect
131. #15689321C22semidirect
132. #15689317C22semidirect
133. #15689288C22semidirect
135. #15689285C22semidirect
136. #15689285C22semidirect
137. #15689285C22semidirect
138. #15689284C22semidirect
139. #15689284C22semidirect
140. #15689284C22semidirect
141. #15689277C22semidirect
142. #15689276C22semidirect
143. #15689275C22semidirect
144. #15689273C22semidirect
145. #15689273C22semidirect
146. #15689272C22semidirect
147. #15689272C22semidirect
148. #15689271C22semidirect
149. #15689270C22semidirect
150. #15689270C22semidirect
152. #15689268C22semidirect
153. #15689268C22semidirect
154. #15689268C22semidirect
155. #15689267C22semidirect
156. #15689262C22semidirect
157. #15689262C22semidirect
158. #15689260C22semidirect
159. #15689259C22semidirect
160. #15689258C22semidirect
161. #15689230C22semidirect
162. #15689226C22semidirect
163. #15689224C22semidirect
164. #15689220C22semidirect
165. Q16×Dic47C22semidirect
166. #15689215C22semidirect
167. SD16×Dic47C22semidirect
168. #15689203C22semidirect
169. #15689199C22semidirect
170. #15689199C22semidirect
171. #15689198C22semidirect
172. #15689198C22semidirect
173. #15689197C22semidirect
174. #15689197C22semidirect
175. #15689192C22semidirect
176. #15689192C22semidirect
177. #15689181C22semidirect
178. #15689181C22semidirect
179. #15689132C22semidirect
180. #15689128C22semidirect
181. #15689126C22semidirect
182. #15689123C22semidirect
183. #15689118C22semidirect
184. #102×D47C22semidirect
185. #15689088C22semidirect
186. #15689088C22semidirect
187. #15689087C22semidirect
189. C2×#137×C47C22semidirect
190. C2×#137×C47C22semidirect
191. C2×C22⋊Q8×C47C22semidirect
194. C47×#452C22semidirect
195. C47×#452C22semidirect
196. C47×#451C22semidirect
197. C47×#451C22semidirect
198. C47×#450C22semidirect
199. C47×#450C22semidirect
200. C47×#417C22semidirect
201. C47×#417C22semidirect
202. C47×#407C22semidirect
966. #3007D47semidirect
986. C2×#137C2×D47semidirect
987. C2×#137C2×D47semidirect
1031. C2×C22⋊Q8C2×D47semidirect
1097. #452C2×D47semidirect
1098. #452C2×D47semidirect
1100. #451C2×D47semidirect
1101. #451C2×D47semidirect
1108. #450C2×D47semidirect
1109. #450C2×D47semidirect
1145. #417C2×D47semidirect
1146. #417C2×D47semidirect
1152. #407C2×D47semidirect
1153. C47#61654semidirect

Maximal subgroups

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

subgroupindex
#202576852
#202570572
#202557222
#202556602
#202556122
#202555902
#202554702
#202554472
#202554022
#202553952
#202550482
#202550452
#202550132
#202549862
#202549672
#202549462
#202548922
#202548812
#202544882
#202544582
#202542892
#202542672
#202542042
#202541902
#202536512
#202535952
#202526962
#202526622
#202526302
#202524482
C47×#30072
#6165447