Finite Group Databasebeta

← #27084763

Subgroups — #27084763

Order 12032.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20256775C211yesmaximal, characteristic, complemented
2#520×D47C211yesmaximal, characteristic, complemented
3#20253667C211yesmaximal, characteristic, complemented
4#20253665C211yesmaximal, characteristic, complemented
5#20253664C211yesmaximal, characteristic, complemented
6#20253662C211yesmaximal, characteristic, complemented
7#20253657C211yesmaximal, characteristic, complemented
8#20253655C211yesmaximal, characteristic, complemented
9#20253644C211yesmaximal, characteristic, complemented
10#20253608C211yesmaximal, characteristic, complemented
11#20253606C211yesmaximal, characteristic, complemented
12#20253597C211yesmaximal, characteristic, complemented
13#20253595C211yesmaximal, characteristic, complemented
14#20253590C211yesmaximal, characteristic, complemented
15#20253588C211yesmaximal, characteristic, complemented
16#20253585C211yesmaximal, characteristic, complemented
17#20253583C211yesmaximal, characteristic, complemented
18#20253315C211yesmaximal, characteristic, complemented
19#20253307C211yesmaximal, characteristic, complemented
20#20253194C211yesmaximal, characteristic, complemented
21#20253180C211yesmaximal, characteristic, complemented
22#20252858C211yesmaximal, characteristic, complemented
23#20252850C211yesmaximal, characteristic, complemented
24#20252631C211yesmaximal, characteristic, complemented
25#20252626C211yesmaximal, characteristic, complemented
26#20252210C211yesmaximal, characteristic, complemented
27C4×#13094056C211yesmaximal, characteristic, complemented
28#20252193C211yesmaximal, characteristic, complemented
29C4×#13094048C211yesmaximal, characteristic, complemented
30#20252022C211yesmaximal, characteristic, complemented
31C47×#3124C211yesmaximal, characteristic, complemented
32C2×#41×D47C2211yescharacteristic
33C2×#13094056C2211yescharacteristic
34C2×#13094053C2211yescharacteristic
35C2×#13094051C2211yescharacteristic
36C2×#13094048C2211yescharacteristic
37#15689747C2211yescharacteristic, complemented
38#15689744C2211yescharacteristic, complemented
39#15689742C2211yescharacteristic, complemented
40#15689733C2211yescharacteristic, complemented
41#15689731C2211yescharacteristic, complemented
42#15689726C2211yescharacteristic, complemented
43#15689724C2211yescharacteristic, complemented
44#15689719—21no—
45#15689714—21no—
46#15689709—21no—
47#15689707—21no—
48#15689678C2211yescharacteristic
49#15689672C2211yescharacteristic
50#15689659—21no—
51#15689656—21no—
52#15689652—21no—
53#15689650—21no—
54#15689636C2211yescharacteristic
55#15689633C2211yescharacteristic
56#15689606C2211yescharacteristic
57#15689605C2211yescharacteristic
58#15689605C2211yescharacteristic
59#15689604—21no—
60#15689604C2211yescharacteristic
61#15689603—21no—
62#15689603C2211yescharacteristic
63#15689602—21no—
64#15689602—21no—
65#15689602C2211yescharacteristic
66#15689602C2211yescharacteristic
67C4×#10625354C2211yescharacteristic
68C4×#10625352C2211yescharacteristic
69C4×Q8×D47C2211yescharacteristic
70C4×Q8×D47C2211yescharacteristic
71C4×D4×D47—21no—
72C4×D4×D47—21no—
73C4×D4×D47C2211yescharacteristic
74C4×D4×D47C2211yescharacteristic
75#117×D47—21no—
76#117×D47C2211yescharacteristic
77C2×C4⋊C4×D47—21no—
78C2×C4⋊C4×D47C2211yescharacteristic
79#15689460C2211yescharacteristic, complemented
80#15689460C2211yescharacteristic, complemented
81#15689456C2211yescharacteristic, complemented
82#15689454C2211yescharacteristic, complemented
83#15689453C2211yescharacteristic, complemented
84#15689452C2211yescharacteristic, complemented
85#15689452C2211yescharacteristic, complemented
86#15689442C2211yescharacteristic, complemented
87#15689441C2211yescharacteristic, complemented
88#15689440C2211yescharacteristic, complemented
89#15689440C2211yescharacteristic, complemented
90#15689438C2211yescharacteristic, complemented
91#15689438C2211yescharacteristic, complemented
92#15689434C2211yescharacteristic, complemented
93#15689429C2211yescharacteristic, complemented
94#15689429C2211yescharacteristic, complemented
95#15689428C2211yescharacteristic, complemented
96#15689428C2211yescharacteristic, complemented
97#15689426C2211yescharacteristic, complemented
98#15689426C2211yescharacteristic, complemented
99#15689425C2211yescharacteristic, complemented
100#15689425C2211yescharacteristic, complemented
101#15689415C2211yescharacteristic, complemented
102#15689414C2211yescharacteristic, complemented
103#15689413C2211yescharacteristic, complemented
104#15689409C2211yescharacteristic, complemented
105#15689408C2211yescharacteristic, complemented
106#15689400C2211yescharacteristic, complemented
107#15689346C2211yescharacteristic, complemented
108#15689345C2211yescharacteristic, complemented
109#15689342C2211yescharacteristic, complemented
110#15689339C2211yescharacteristic, complemented
111#15689338C2211yescharacteristic, complemented
112#15689335C2211yescharacteristic, complemented
113#15689332C2211yescharacteristic, complemented
114#15689331C2211yescharacteristic, complemented
115#15689327C2211yescharacteristic, complemented
116#15689326C2211yescharacteristic, complemented
117#15689322C2211yescharacteristic, complemented
118#15689321C2211yescharacteristic, complemented
119#15689317C2211yescharacteristic, complemented
120#15689316C2211yescharacteristic, complemented
121#15689288C2211yescharacteristic
122#15689287C2211yescharacteristic
123#15689286C2211yescharacteristic
124#15689285C2211yescharacteristic
125#15689284C2211yescharacteristic
126#15689283C2211yescharacteristic
127#15689282C2211yescharacteristic
128#15689271C2211yescharacteristic
129#15689270C2211yescharacteristic
130#15689269C2211yescharacteristic
131#15689268C2211yescharacteristic
132#15689267C2211yescharacteristic
133#15689266C2211yescharacteristic
134#15689265C2211yescharacteristic
135#15689236C2211yescharacteristic, complemented
136#15689235C2211yescharacteristic, complemented
137#15689233C2211yescharacteristic, complemented
138#15689232C2211yescharacteristic, complemented
139#15689231C2211yescharacteristic, complemented
140#15689230C2211yescharacteristic, complemented
141#15689228C2211yescharacteristic, complemented
142#15689227C2211yescharacteristic, complemented
143#15689226C2211yescharacteristic, complemented
144#15689223C2211yescharacteristic, complemented
145#15689222C2211yescharacteristic, complemented
146#15689222C2211yescharacteristic, complemented
147#15689221C2211yescharacteristic, complemented
148#15689220C2211yescharacteristic, complemented
149#15689217C2211yescharacteristic, complemented
150C4×#10625337C2211yescharacteristic, complemented
151#15689215C2211yescharacteristic, complemented
152#15689214C2211yescharacteristic, complemented
153C4×#10625325C2211yescharacteristic, complemented
154C4×#10625325C2211yescharacteristic, complemented
155SD16×Dic47C2211yescharacteristic, complemented
156SD16×Dic47C2211yescharacteristic, complemented
157C4×#10625336C2211yescharacteristic, complemented
158C4×#10625335C2211yescharacteristic, complemented
159#15689208C2211yescharacteristic, complemented
160#15689205C2211yescharacteristic, complemented
161C4×#10625334C2211yescharacteristic, complemented
162#15689203C2211yescharacteristic, complemented
163#15689185C2211yescharacteristic, complemented
164#15689184C2211yescharacteristic, complemented
165#15689183C2211yescharacteristic, complemented
166#15689183C2211yescharacteristic, complemented
167#15689182C2211yescharacteristic, complemented
168#15689181C2211yescharacteristic, complemented
169#15689181C2211yescharacteristic, complemented
170#15689164C2211yescharacteristic
171#15689164C2211yescharacteristic
172#15689164C2211yescharacteristic
173#15689164C2211yescharacteristic
174#15689145C2211yescharacteristic
175#15689145C2211yescharacteristic
176#15689130C2211yescharacteristic
177#15689130C2211yescharacteristic
178#15689126C2211yescharacteristic
179#15689126C2211yescharacteristic
180#15689123C2211yescharacteristic
181#15689123C2211yescharacteristic
182#15689121C2211yescharacteristic
183#15689121C2211yescharacteristic
184#15689085C2211yescharacteristic
185#15689085C2211yescharacteristic
186#15689075C2211yescharacteristic
187C4×#10625324C2211yescharacteristic
188C47×#542C2211yescharacteristic, complemented
189C47×#520C2211yescharacteristic
190C47×#484C2211yescharacteristic, complemented
191C47×#480C2211yescharacteristic, complemented
192C47×#477C2211yescharacteristic, complemented
193C47×#474C2211yescharacteristic, complemented
194C47×#464C2211yescharacteristic, complemented
195C47×#463C2211yescharacteristic, complemented
196C47×#452C2211yescharacteristic
197C47×#449C2211yescharacteristic
198C47×#440C2211yescharacteristic, complemented
199C47×#440C2211yescharacteristic, complemented
200C4×Q16×C47C2211yescharacteristic, complemented
201C4×D8×C47C2211yescharacteristic, complemented
202C47×#433C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625354C2311yescharacteristic
205C2×#10625350—21no—
206C2×#10625350C2311yescharacteristic
207C2×#10625352—21no—
208C2×#10625352C2311yescharacteristic
209C2×#10625352C2311yescharacteristic
210#41×D47—24no—
211#41×D47—24no—
212C2×Q8×D47C2311yescharacteristic
213C2×D4×D47—21no—
214C2×D4×D47C2311yescharacteristic
215C22×C4×D47—21no—
216C22×C4×D47—21no—
217C22×C4×D47—21no—
218C22×C4×D47—21no—
219C22×C4×D47C2311yescharacteristic
220#13094056—24no—
221#13094053—24no—
222#13094051—24no—
223#13094048—24no—
224C2×Dic188C2311yescharacteristic
225C2×#10625337C2311yescharacteristic
226C2×#10625337C2311yescharacteristic
227C2×#10625325C2311yescharacteristic
228C2×#10625325C2311yescharacteristic
229C2×#10625335C2311yescharacteristic
230C2×#10625335C2311yescharacteristic
231C2×#10625336C2311yescharacteristic
232C2×#10625336C2311yescharacteristic
233C2×D376C2311yescharacteristic
234C2×#10625334C2311yescharacteristic
235C2×#10625334C2311yescharacteristic
236C2×#10625324C2311yescharacteristic
237C2×#10625324C2311yescharacteristic
238C2×#10625324C2311yescharacteristic
239C2×#10625324C2311yescharacteristic
240#13094024C2311yescharacteristic
241#13094022C2311yescharacteristic
242#13094020C2311yescharacteristic
243#13094019—21no—
244#13094019—21no—
245#13094019—21no—
246#13094018—21no—
247#13094017—21no—
248#13094017—21no—
249#13094017—21no—
250#13094016—21no—
251#13094015—21no—
252#13094015C2311yescharacteristic
253#13094015C2311yescharacteristic
254#13094014—21no—
255#13094014—21no—
256#13094013—21no—
257#13094012C2311yescharacteristic
258#13094010—21no—
259#13094010—21no—
260#13094009—21no—
261#13094009—21no—
262#13094008—21no—
263#13094008—21no—
264#13094007—21no—
265#13094006—21no—
266#13094006—21no—
267#13094006—21no—
268#13094006—21no—
269#13094004—21no—
270#13094004C2311yescharacteristic
271#13094003C2311yescharacteristic
272#13094002—21no—
273#13094001—21no—
274#13094000—21no—
275#13094000—21no—
276#13094000C2311yescharacteristic
277#13093999C2311yescharacteristic
278#13093998—21no—
279#13093998C2311yescharacteristic
280#13093997—21no—
281#13093997—21no—
282#13093997—21no—
283#13093996—21no—
284#13093995—21no—
285#13093995C2311yescharacteristic
286#13093994—21no—
287#13093992—21no—
288Q8×Dic47—21no—
289Q8×Dic47C2311yescharacteristic
290Q8×Dic47C2311yescharacteristic
291Q8×Dic47C2311yescharacteristic
292C4×Dic94—21no—
293C4×Dic94—21no—
294C4×Dic94C2311yescharacteristic
295C4×Dic94C2311yescharacteristic
296C4×Dic94C2311yescharacteristic
297#13093989—21no—
298#13093989—21no—
299#13093989—21no—
300#13093989C2311yescharacteristic
301#13093989C2311yescharacteristic
302#13093989C2311yescharacteristic
303C4×D188—21no—
304C4×D188—21no—
305C4×D188—21no—
306C4×D188C2311yescharacteristic
307C4×D188C2311yescharacteristic
308C4×D188C2311yescharacteristic
309D4×Dic47—21no—
310D4×Dic47—21no—
311D4×Dic47—21no—
312D4×Dic47C2311yescharacteristic
313D4×Dic47C2311yescharacteristic
314D4×Dic47C2311yescharacteristic
315#13093986—21no—
316#13093986—21no—
317#13093986—21no—
318#13093986—21no—
319#13093986C2311yescharacteristic
320#13093986C2311yescharacteristic
321#13093986C2311yescharacteristic
322C4×C22⋊D47—21no—
323C4×C22⋊D47—21no—
324C4×C22⋊D47—21no—
325C4×C22⋊D47—21no—
326C4×C22⋊D47—21no—
327C4×C22⋊D47—21no—
328C4×C22⋊D47—21no—
329(C22⋊D47)⋊C4—21no—
330(C22⋊D47)⋊C4—21no—
331(C22⋊D47)⋊C4—21no—
332(C22⋊D47)⋊C4—21no—
333(C22⋊D47)⋊C4—21no—
334(C22⋊D47)⋊C4—21no—
335(C22⋊D47)⋊C4—21no—
336(C22⋊D47)⋊C4—21no—
337(C22⋊D47)⋊C4—21no—
338(C22⋊D47)⋊C4—21no—
339(C22⋊D47)⋊C4—21no—
340#13093983—21no—
341#13093983C2311yescharacteristic
342#13093982—21no—
343#13093982—21no—
344#13093982—21no—
345#13093982D411yescharacteristic
346#13093982D411yescharacteristic
347#13093982C2311yescharacteristic
348#13093982C2311yescharacteristic
349#13093981—21no—
350#13093981—21no—
351#13093981C2311yescharacteristic
352#13093981C2311yescharacteristic
353#13093980—21no—
354#13093980—21no—
355#13093980—21no—
356#13093980D411yescharacteristic
357#13093980D411yescharacteristic
358C2×C4⋊Dic47—21no—
359C2×C4⋊Dic47C2311yescharacteristic
360C2×Dic47⋊C4—21no—
361C2×Dic47⋊C4—21no—
362C2×Dic47⋊C4—21no—
363C4⋊C4×D47—21no—
364C4⋊C4×D47—21no—
365C4⋊C4×D47—21no—
366C4⋊C4×D47—21no—
367C4⋊C4×D47—21no—
368C4⋊C4×D47—21no—
369C4⋊C4×D47—21no—
370C4⋊C4×D47—21no—
371C4⋊C4×D47D411yescharacteristic
372C4⋊C4×D47D411yescharacteristic
373C4⋊C4×D47C2311yescharacteristic
374C4⋊C4×D47C2311yescharacteristic
375C4⋊C4×D47C2311yescharacteristic
376C4⋊C4×D47C2311yescharacteristic
377C22⋊C4×D47—21no—
378C22⋊C4×D47—21no—
379C22⋊C4×D47D411yescharacteristic
380C22⋊C4×D47D411yescharacteristic
381C2×C4×Dic47—21no—
382C42×D47—21no—
383C42×D47—21no—
384C42×D47—21no—
385C42×D47C2311yescharacteristic
386C42×D47C2311yescharacteristic
387#13093957C2311yescharacteristic
388#13093957C2311yescharacteristic
389#13093957C2311yescharacteristic
390#13093957C2311yescharacteristic
391#13093956C2311yescharacteristic
392#13093956C2311yescharacteristic
393#13093956C2311yescharacteristic
394#13093956C2311yescharacteristic
395#13093955C2311yescharacteristic
396#13093955C2311yescharacteristic
397#13093955C2311yescharacteristic
398#13093955C2311yescharacteristic
399C4⋊(C47⋊C8)C2311yescharacteristic
400C4⋊(C47⋊C8)C2311yescharacteristic
401Dic47⋊C8C2311yescharacteristic
402Dic47⋊C8C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405#13093949C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093947C2311yescharacteristic
414#13093947C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093944C2311yescharacteristic
426#13093944C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429C22⋊(C47⋊C8)C2311yescharacteristic
430C22⋊(C47⋊C8)C2311yescharacteristic
431(C2×D47)⋊C8C2311yescharacteristic
432(C2×D47)⋊C8C2311yescharacteristic
433(C2×D47)⋊C8C2311yescharacteristic
434(C2×D47)⋊C8C2311yescharacteristic
435#13093935C2311yescharacteristic
436#13093934C2311yescharacteristic
437#13093934C2311yescharacteristic
438C4×C47⋊C8C2311yescharacteristic
439C8×Dic47C2311yescharacteristic
440C8×Dic47C2311yescharacteristic
441C2×#41×C47C2311yescharacteristic
442C2×Q16×C47C2311yescharacteristic
443C2×SD16×C47C2311yescharacteristic
444C2×SD16×C47C2311yescharacteristic
445C2×D8×C47C2311yescharacteristic
446C4⋊Q8×C47C2311yescharacteristic
447#126×C47—21no—
448#124×C47—21no—
449#124×C47C2311yescharacteristic
450#123×C47—21no—
451C22⋊Q8×C47—21no—
452C22⋊Q8×C47C2311yescharacteristic
453#121×C47C2311yescharacteristic
454C4×Q8×C47C2311yescharacteristic
455C4×Q8×C47C2311yescharacteristic
456C4×Q8×C47C2311yescharacteristic
457C4×D4×C47—21no—
458C4×D4×C47—21no—
459C4×D4×C47C2311yescharacteristic
460C4×D4×C47C2311yescharacteristic
461C4×D4×C47C2311yescharacteristic
462#117×C47—21no—
463#117×C47C2311yescharacteristic
464C2×C4⋊C4×C47—21no—
465C2×C4⋊C4×C47C2311yescharacteristic
466#107×C47C2311yescharacteristic
467#107×C47C2311yescharacteristic
468#107×C47C2311yescharacteristic
469#107×C47C2311yescharacteristic
470C4⋊C8×C47C2311yescharacteristic
471C4⋊C8×C47C2311yescharacteristic
472#103×C47C2311yescharacteristic
473#103×C47C2311yescharacteristic
474#103×C47C2311yescharacteristic
475#103×C47C2311yescharacteristic
476#102×C47C2311yescharacteristic
477#102×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480C22⋊C8×C47C2311yescharacteristic
481C22⋊C8×C47C2311yescharacteristic
482#97×C47C2311yescharacteristic
483C4×C8×C47C2311yescharacteristic
484C23×D47—21no—
485C23×D47C2×D411yescharacteristic
486#41×C47—22no—
487#41×C47—22no—
488C2×Q8×C47—21no—
489C2×Q8×C47C2411yescharacteristic
490C2×Q8×C47C2411yescharacteristic
491C2×D4×C47—21no—
492C2×D4×C47—21no—
493C2×D4×C47C2411yescharacteristic
494C2×D4×C47C2411yescharacteristic
495C22×C4×C47—21no—
496C22×C4×C47—21no—
497C22×C4×C47—21no—
498C22×C4×C47—21no—
499C22×C4×C47—21no—
500C22×C4×C47C2411yescharacteristic
501C2×C22⋊D47—21no—
502C2×C22⋊D47—21no—
503C2×C22⋊D47—21no—
504C2×C22⋊D47—21no—
505C2×C22⋊D47—21no—
506C2×C22⋊D47—21no—
507C2×C22⋊D47—21no—
508C2×C22⋊D47—21no—
509C22×Dic47—21no—
510C22×Dic47—21no—
511C22×Dic47—21no—
512C22×Dic47—21no—
513C22×Dic47—21no—
514C22×Dic47—21no—
515C22×Dic47C2×D411yescharacteristic
516#10625354—22no—
517#10625354—22no—
518#10625354—22no—
519#10625354—22no—
520Q8×D47—22no—
521Q8×D47#4114yes—
522#10625352—28no—
523#10625352—22no—
524#10625352—22no—
525#10625352—22no—
526#10625352—22no—
527D4×D47—28no—
528D4×D47—22no—
529D4×D47#4114yes—
530#10625350—28no—
531#10625350—22no—
532#10625350—22no—
533C2×D188—21no—
534C2×D188—21no—
535C2×D188—21no—
536C2×D188C2411yescharacteristic
537C2×D188C2411yescharacteristic
538C2×C4×D47—28no—
539C2×C4×D47—21no—
540C2×C4×D47—21no—
541C2×C4×D47—21no—
542C2×C4×D47—22no—
543C2×C4×D47—22no—
544C2×C4×D47—21no—
545C2×C4×D47—21no—
546C2×C4×D47—21no—
547C2×C4×D47—21no—
548C2×C4×D47—21no—
549C2×C4×D47—21no—
550C2×C4×D47—21no—
551C2×C4×D47—21no—
552C2×C4×D47—21no—
553C2×C4×D47—21no—
554C2×C4×D47—21no—
555C2×C4×D47—82no—
556C2×C4×D47—82no—
557C2×C4×D47—82no—
558C2×C4×D47C2×D411yescharacteristic
559C2×C4×D47C2×D411yescharacteristic
560C2×C4×D47C2×D411yescharacteristic
561C2×C4×D47C2×D411yescharacteristic
562C2×C4×D47C2×D411yescharacteristic
563C2×C4×D47C2×D411yescharacteristic
564C2×C4×D47C2411yescharacteristic
565C2×C4×D47C2411yescharacteristic
566C2×Dic94—21no—
567C2×Dic94—21no—
568C2×Dic94C2411yescharacteristic
569C2×Dic94C2411yescharacteristic
570Q16×C47—22no—
571SD16×C47—22no—
572SD16×C47—22no—
573D8×C47—22no—
574C2×C8×C47C2411yescharacteristic
575C2×C8×C47C2411yescharacteristic
576C2×C8×C47C2411yescharacteristic
577C2×C8×C47C2411yescharacteristic
578C4⋊C4×C47—21no—
579C4⋊C4×C47—21no—
580C4⋊C4×C47—21no—
581C4⋊C4×C47—21no—
582C4⋊C4×C47—21no—
583C4⋊C4×C47—21no—
584C4⋊C4×C47C2×D411yescharacteristic
585C4⋊C4×C47C2×D411yescharacteristic
586C4⋊C4×C47C2411yescharacteristic
587C4⋊C4×C47C2411yescharacteristic
588C4⋊C4×C47C2411yescharacteristic
589C4⋊C4×C47C2411yescharacteristic
590C22⋊C4×C47—21no—
591C22⋊C4×C47—21no—
592C22⋊C4×C47—21no—
593C22⋊C4×C47—21no—
594C22⋊C4×C47—21no—
595C22⋊C4×C47—21no—
596C22⋊C4×C47—21no—
597C22⋊C4×C47C2×D411yescharacteristic
598C22⋊C4×C47C2×D411yescharacteristic
599C42×C47—21no—
600C42×C47—21no—
601C42×C47—21no—
602C42×C47C2411yescharacteristic
603C42×C47C2411yescharacteristic
604C22⋊Dic47—21no—
605C22⋊Dic47—21no—
606C22⋊Dic47—21no—
607C22⋊Dic47—21no—
608C22⋊Dic47—21no—
609C22⋊Dic47C2×D411yescharacteristic
610C22⋊Dic47C2×D411yescharacteristic
611#10625337—22no—
612#10625337—22no—
613#10625336—22no—
614#10625336—22no—
615#10625335—22no—
616#10625335—22no—
617#10625334—22no—
618#10625334—22no—
619(C2×D47)⋊C4—21no—
620(C2×D47)⋊C4—21no—
621(C2×D47)⋊C4—21no—
622(C2×D47)⋊C4—21no—
623(C2×D47)⋊C4—21no—
624(C2×D47)⋊C4—21no—
625(C2×D47)⋊C4—21no—
626(C2×D47)⋊C4—21no—
627(C2×D47)⋊C4—21no—
628(C2×D47)⋊C4—21no—
629(C2×D47)⋊C4—21no—
630(C2×D47)⋊C4—21no—
631(C2×D47)⋊C4—21no—
632(C2×D47)⋊C4—21no—
633(C2×D47)⋊C4C2×D411yescharacteristic
634(C2×D47)⋊C4C2×D411yescharacteristic
635(C2×D47)⋊C4C2×D411yescharacteristic
636(C2×D47)⋊C4C2×D411yescharacteristic
637C4⋊Dic47—21no—
638C4⋊Dic47—21no—
639C4⋊Dic47—21no—
640C4⋊Dic47—21no—
641C4⋊Dic47—21no—
642C4⋊Dic47—21no—
643C4⋊Dic47—21no—
644C4⋊Dic47—21no—
645C4⋊Dic47C2×D411yescharacteristic
646C4⋊Dic47C2×D411yescharacteristic
647C4⋊Dic47C2411yescharacteristic
648C4⋊Dic47C2411yescharacteristic
649C4⋊Dic47C2411yescharacteristic
650C4⋊Dic47C2411yescharacteristic
651Dic47⋊C4—21no—
652Dic47⋊C4—21no—
653Dic47⋊C4—21no—
654Dic47⋊C4—21no—
655Dic47⋊C4—21no—
656Dic47⋊C4—21no—
657Dic47⋊C4—21no—
658Dic47⋊C4—21no—
659Dic47⋊C4—21no—
660Dic47⋊C4—21no—
661Dic47⋊C4—21no—
662Dic47⋊C4—21no—
663Dic47⋊C4—21no—
664Dic47⋊C4—21no—
665Dic47⋊C4—21no—
666Dic47⋊C4—21no—
667Dic47⋊C4C2×D411yescharacteristic
668Dic47⋊C4C2×D411yescharacteristic
669Dic47⋊C4C2×D411yescharacteristic
670Dic47⋊C4C2×D411yescharacteristic
671C4×Dic47—21no—
672C4×Dic47—21no—
673C4×Dic47—21no—
674C4×Dic47—21no—
675C4×Dic47—21no—
676C4×Dic47—21no—
677C4×Dic47—21no—
678C4×Dic47—21no—
679C4×Dic47—21no—
680C4×Dic47—21no—
681C4×Dic47—21no—
682C4×Dic47C2×D411yescharacteristic
683C4×Dic47C2×D411yescharacteristic
684C4×Dic47C2×D411yescharacteristic
685C4×Dic47C2×D411yescharacteristic
686C4×Dic47C2411yescharacteristic
687C4×Dic47C2411yescharacteristic
688C2×C47⋊C8C2411yescharacteristic
689C2×C47⋊C8C2411yescharacteristic
690C2×C47⋊C8C2411yescharacteristic
691C2×C47⋊C8C2411yescharacteristic
692Dic188—22no—
693D376—22no—
694#10625325—22no—
695#10625325—22no—
696#10625324—22no—
697#10625324—22no—
698#10625324—22no—
699#10625324—22no—
700C23×C47—21no—
701C23×C47—21no—
702C23×C47C22×D411yescharacteristic
703C22×D47—21no—
704C22×D47—22no—
705C22×D47—24no—
706C22×D47—21no—
707C22×D47—41no—
708C22×D47—41no—
709C22×D47—42no—
710C22×D47—42no—
711C22×D47C22×D411yescharacteristic
712C22×D47C22×D411yescharacteristic
713Q8×C47—21no—
714Q8×C47—21no—
715Q8×C47—21no—
716Q8×C47—81no—
717Q8×C47C2×#4112yes—
718D4×C47—24no—
719D4×C47—21no—
720D4×C47—21no—
721D4×C47—21no—
722D4×C47—81no—
723D4×C47C2×#4112yes—
724C2×C4×C47—24no—
725C2×C4×C47—21no—
726C2×C4×C47—21no—
727C2×C4×C47—21no—
728C2×C4×C47—21no—
729C2×C4×C47—21no—
730C2×C4×C47—21no—
731C2×C4×C47—21no—
732C2×C4×C47—21no—
733C2×C4×C47—81no—
734C2×C4×C47—81no—
735C2×C4×C47—81no—
736C2×C4×C47—81no—
737C2×C4×C47C22×D411yescharacteristic
738C2×C4×C47C22×D411yescharacteristic
739C2×C4×C47C22×D411yescharacteristic
740C2×C4×C47C22×D411yescharacteristic
741C2×C4×C47C22×D411yescharacteristic
742C2×C4×C47C2511yescharacteristic
743C22⋊D47—24no—
744C22⋊D47—24no—
745C22⋊D47—24no—
746C22⋊D47—42no—
747C22⋊D47—81no—
748C22⋊D47—81no—
749C22⋊D47—81no—
750C22⋊D47—81no—
751C2×Dic47—24no—
752C2×Dic47—21no—
753C2×Dic47—22no—
754C2×Dic47—21no—
755C2×Dic47—21no—
756C2×Dic47—21no—
757C2×Dic47—21no—
758C2×Dic47—21no—
759C2×Dic47—42no—
760C2×Dic47—81no—
761C2×Dic47—81no—
762C2×Dic47—81no—
763C2×Dic47—81no—
764C2×Dic47C22×D411yescharacteristic
765C2×Dic47C22×D411yescharacteristic
766C2×Dic47C22×D411yescharacteristic
767C2×Dic47C22×D411yescharacteristic
768C2×Dic47C22×D411yescharacteristic
769C2×Dic47C22×D411yescharacteristic
770D188—24no—
771D188—21no—
772D188—21no—
773D188—21no—
774D188—42no—
775D188—81no—
776D188C2×#4112yes—
777C4×D47—24no—
778C4×D47—24no—
779C4×D47—22no—
780C4×D47—24no—
781C4×D47—21no—
782C4×D47—21no—
783C4×D47—22no—
784C4×D47—41no—
785C4×D47—41no—
786C4×D47—41no—
787C4×D47—41no—
788C4×D47—42no—
789C4×D47—42no—
790C4×D47—42no—
791C4×D47—81no—
792C4×D47—81no—
793C4×D47—81no—
794C4×D47—81no—
795C4×D47—81no—
796C4×D47—81no—
797C4×D47—81no—
798C4×D47—81no—
799C4×D47C2×#4112yes—
800C4×D47C2×#4112yes—
801Dic94—21no—
802Dic94—24no—
803Dic94—21no—
804Dic94—21no—
805Dic94—81no—
806Dic94C2×#4112yes—
807C8×C47—21no—
808C8×C47—21no—
809C8×C47—21no—
810C8×C47—21no—
811C47⋊C8—21no—
812C47⋊C8—21no—
813C47⋊C8—21no—
814C47⋊C8—21no—
815#60565—471nomaximal, Sylow
816C22×C47—21no—
817C22×C47—21no—
818C22×C47—21no—
819C22×C47—22no—
820C22×C47—41no—
821C22×C47—41no—
822C22×C47—41no—
823C22×C47—41no—
824C22×C47—41no—
825C22×C47C23×D411yescharacteristic
826C2×D47—21no—
827C2×D47—21no—
828C2×D47—21no—
829C2×D47—21no—
830C2×D47—21no—
831C2×D47—22no—
832C2×D47—44no—
833C2×D47—48no—
834C2×D47—41no—
835C2×D47—41no—
836C2×D47—41no—
837C2×D47—41no—
838C2×D47—41no—
839C2×D47#52512yes—
840C4×C47—21no—
841C4×C47—21no—
842C4×C47—21no—
843C4×C47—21no—
844C4×C47—22no—
845C4×C47—21no—
846C4×C47—41no—
847C4×C47—41no—
848C4×C47—41no—
849C4×C47—41no—
850C4×C47—41no—
851C4×C47C22×#4111yescharacteristic
852C4×C47C22×#4111yescharacteristic
853Dic47—21no—
854Dic47—21no—
855Dic47—21no—
856Dic47—21no—
857Dic47—22no—
858Dic47—21no—
859Dic47—41no—
860Dic47—41no—
861Dic47—41no—
862Dic47—41no—
863Dic47—41no—
864Dic47#52512yes—
865#3455—471no—
866C2×#520—471no—
867#3125—471no—
868#3125—471no—
869#3125—471no—
870#3125—471no—
871#3124—471no—
872#3124—471no—
873#3124—471no—
874#3124D4711yescharacteristic, complemented
875#3120—471no—
876#3120—471no—
877#3120—471no—
878#3120—471no—
879#3119—471no—
880#3119—471no—
881#3119—471no—
882#3119—471no—
883#3092—471no—
884#3092—471no—
885#3078—471no—
886#3077—471no—
887#3037—471no—
888#3036—471no—
889#3005—471no—
890#3005—471no—
891C4×#137—471no—
892C4×#137—471no—
893C4×AGL(1,ℤ/8)—471no—
894C4×AGL(1,ℤ/8)—471no—
895#2921—471no—
896C2×C47—41no—
897C2×C47—42no—
898C2×C47—81no—
899C2×C47C2×#52511yescharacteristic
900C2×C47#358511yescharacteristic
901C2×C47#358611yescharacteristic
902D47—22no—
903D47—41no—
904D47—42no—
905D47—81no—
906C22×#41—471no—
907C2×#137—471no—
908C2×#137—471no—
909C2×AGL(1,ℤ/8)—471no—
910C2×AGL(1,ℤ/8)—471no—
911#542—471no—
912#542—471no—
913#542—471no—
914#542C2×D4711yescharacteristic, complemented
915#541—471no—
916#541—471no—
917#540—471no—
918#540—471no—
919#539—941no—
920#539—941no—
921#538—941no—
922#538—941no—
923#533—471no—
924#532—471no—
925#529—941no—
926#529—941no—
927#529—941no—
928#529—941no—
929#525—471no—
930#525—471no—
931#520—471no—
932#520—471no—
933#520—471no—
934#520—471no—
935#520—471no—
936#520—471no—
937#520—471no—
938#520—941no—
939#520—941no—
940#520—941no—
941#520—941no—
942#520C2×D4711yescharacteristic
943C4×#41—471no—
944C4×#41—471no—
945C2×C4×Q8—471no—
946C2×C4×Q8—471no—
947C2×C4×D4—471no—
948C2×C4×D4—471no—
949C2×C4×D4—941no—
950C2×C4×D4—941no—
951C2×#117—471no—
952C2×#117—941no—
953C22×C4⋊C4—471no—
954C22×C4⋊C4—941no—
955#484—471no—
956#484—471no—
957#484—471no—
958#484C2×D4711yescharacteristic, complemented
959#483—471no—
960#483—471no—
961#483—471no—
962#483—471no—
963#481—471no—
964#481—471no—
965#481—471no—
966#481—471no—
967#480—471no—
968#480—471no—
969#480—471no—
970#480C2×D4711yescharacteristic, complemented
971#479—471no—
972#479—471no—
973#479—471no—
974#479—471no—
975#478—471no—
976#478—471no—
977#478—471no—
978#478—471no—
979#477—471no—
980#477C2×D4711yescharacteristic, complemented
981#476—471no—
982#476—471no—
983#475—471no—
984#475—471no—
985#474—471no—
986#474C2×D4711yescharacteristic, complemented
987#464—471no—
988#464—471no—
989#464—471no—
990#464C2×D4711yescharacteristic, complemented
991#463—471no—
992#463—471no—
993#463—471no—
994#463C2×D4711yescharacteristic, complemented
995#462—471no—
996#462—471no—
997#461—471no—
998#461—471no—
999#460—471no—
1000#460—471no—
1001#459—471no—
1002#459—471no—
1003#452—471no—
1004#452—471no—
1005#452—471no—
1006#452—471no—
1007#452—471no—
1008#452—471no—
1009#452—471no—
1010#452C2×D4711yescharacteristic
1011#449—471no—
1012#449—471no—
1013#449—471no—
1014#449—471no—
1015#449—471no—
1016#449—471no—
1017#449—471no—
1018#449C2×D4711yescharacteristic
1019#442—471no—
1020#442—471no—
1021#442—471no—
1022#442—471no—
1023#441—471no—
1024#441—471no—
1025#441—471no—
1026#441—471no—
1027#440—471no—
1028#440—471no—
1029#440—471no—
1030#440—471no—
1031#440—471no—
1032#440—471no—
1033#440C2×D4711yescharacteristic, complemented
1034#440C2×D4711yescharacteristic, complemented
1035C4×Q16—471no—
1036C4×Q16—471no—
1037C4×Q16—471no—
1038C4×Q16C2×D4711yescharacteristic, complemented
1039C4×SD16—471no—
1040C4×SD16—471no—
1041C4×SD16—471no—
1042C4×SD16—471no—
1043C4×SD16—471no—
1044C4×SD16—471no—
1045C4×SD16—471no—
1046C4×SD16—471no—
1047C4×D8—471no—
1048C4×D8—471no—
1049C4×D8—471no—
1050C4×D8C2×D4711yescharacteristic, complemented
1051#433—471no—
1052#433—471no—
1053#433—471no—
1054#433—471no—
1055#433—471no—
1056#433—471no—
1057#433—471no—
1058#433C2×D4711yescharacteristic, complemented
1059#428—471no—
1060#428—471no—
1061#428—471no—
1062#428—471no—
1063#423—471no—
1064#423—471no—
1065#419—471no—
1066#419—471no—
1067#418—471no—
1068#418—471no—
1069#417—471no—
1070#417—471no—
1071#417—471no—
1072#417—471no—
1073#407—471no—
1074#407—471no—
1075C4×M16—471no—
1076C4×M16—471no—
1077C47#6056511yescharacteristic, complemented, Sylow
1078C2×#41—471no—
1079C2×#41—471no—
1080C2×#41—471no—
1081C2×#41—471no—
1082C2×#41—471no—
1083C2×#41—941no—
1084C2×#41—941no—
1085C2×#41—944no—
1086C2×#41—944no—
1087C2×#41C22×D4711yescharacteristic
1088C22×Q8—471no—
1089C22×D4—471no—
1090C22×D4—941no—
1091C23×C4—471no—
1092C23×C4—941no—
1093C23×C4—941no—
1094C23×C4—941no—
1095C23×C4—941no—
1096#137—944no—
1097#137—944no—
1098AGL(1,ℤ/8)—944no—
1099AGL(1,ℤ/8)—944no—
1100C2×Q16—471no—
1101C2×Q16—471no—
1102C2×Q16—471no—
1103C2×Q16C22×D4711yescharacteristic
1104C2×SD16—471no—
1105C2×SD16—471no—
1106C2×SD16—471no—
1107C2×SD16—471no—
1108C2×SD16—471no—
1109C2×SD16—471no—
1110C2×SD16C22×D4711yescharacteristic
1111C2×SD16C22×D4711yescharacteristic
1112C2×D8—471no—
1113C2×D8—471no—
1114C2×D8—471no—
1115C2×D8C22×D4711yescharacteristic
1116C2×M16—471no—
1117C2×M16—471no—
1118C2×M16—471no—
1119C2×M16—471no—
1120C4⋊Q8—471no—
1121C4⋊Q8—471no—
1122C4⋊Q8C22×D4711yescharacteristic
1123#127—471no—
1124#126—21no—
1125#126—941no—
1126#126—941no—
1127#126—941no—
1128#126—941no—
1129#126—941no—
1130#126—941no—
1131#126—941no—
1132#125—471no—
1133#125—471no—
1134#125—941no—
1135#125—941no—
1136#125—941no—
1137#125—941no—
1138#124—21no—
1139#124—471no—
1140#124—941no—
1141#124—941no—
1142#124—941no—
1143#124C22×D4711yescharacteristic
1144#123—21no—
1145#123—941no—
1146#123—941no—
1147#123—941no—
1148#123—941no—
1149#123—941no—
1150#123—941no—
1151#123—941no—
1152#123—941no—
1153#123—941no—
1154C22⋊Q8—21no—
1155C22⋊Q8—471no—
1156C22⋊Q8—471no—
1157C22⋊Q8—471no—
1158C22⋊Q8—941no—
1159C22⋊Q8—941no—
1160C22⋊Q8—941no—
1161C22⋊Q8—941no—
1162C22⋊Q8—941no—
1163C22⋊Q8C22×D4711yescharacteristic
1164#121—471no—
1165#121—471no—
1166#121—471no—
1167#121—941no—
1168#121—941no—
1169#121—941no—
1170#121—941no—
1171#121—941no—
1172#121—941no—
1173#121C22×D4711yescharacteristic
1174#120—941no—
1175#120—941no—
1176C4×Q8—471no—
1177C4×Q8—471no—
1178C4×Q8—471no—
1179C4×Q8—471no—
1180C4×Q8—471no—
1181C4×Q8—471no—
1182C4×Q8—471no—
1183C4×Q8—471no—
1184C4×Q8—471no—
1185C4×Q8—941no—
1186C4×Q8—941no—
1187C4×Q8—941no—
1188C4×Q8—941no—
1189C4×Q8—941no—
1190C4×Q8—941no—
1191C4×Q8C22×D4711yescharacteristic
1192C4×Q8C22×D4711yescharacteristic
1193C4×Q8C22×D4711yescharacteristic
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—471no—
1197C4×D4—471no—
1198C4×D4—471no—
1199C4×D4—471no—
1200C4×D4—471no—
1201C4×D4—471no—
1202C4×D4—471no—
1203C4×D4—471no—
1204C4×D4—471no—
1205C4×D4—941no—
1206C4×D4—941no—
1207C4×D4—941no—
1208C4×D4—941no—
1209C4×D4—941no—
1210C4×D4—941no—
1211C4×D4—941no—
1212C4×D4—941no—
1213C4×D4—941no—
1214C4×D4—941no—
1215C4×D4—941no—
1216C4×D4—941no—
1217C4×D4—941no—
1218C4×D4—941no—
1219C4×D4—941no—
1220C4×D4—941no—
1221C4×D4—941no—
1222C4×D4—941no—
1223C4×D4—941no—
1224C4×D4—941no—
1225C4×D4—941no—
1226C4×D4—941no—
1227C4×D4—941no—
1228C4×D4—941no—
1229C4×D4—941no—
1230C4×D4—941no—
1231C4×D4—941no—
1232C4×D4—941no—
1233C4×D4C22×D4711yescharacteristic
1234C4×D4C22×D4711yescharacteristic
1235C4×D4C22×D4711yescharacteristic
1236#117—21no—
1237#117—471no—
1238#117—471no—
1239#117—471no—
1240#117—471no—
1241#117—471no—
1242#117—471no—
1243#117—471no—
1244#117—471no—
1245#117—471no—
1246#117—941no—
1247#117—941no—
1248#117—941no—
1249#117—941no—
1250#117—941no—
1251#117—941no—
1252#117—941no—
1253#117—941no—
1254#117—941no—
1255#117C22×D4711yescharacteristic
1256C2×C4⋊C4—21no—
1257C2×C4⋊C4—471no—
1258C2×C4⋊C4—471no—
1259C2×C4⋊C4—471no—
1260C2×C4⋊C4—471no—
1261C2×C4⋊C4—471no—
1262C2×C4⋊C4—471no—
1263C2×C4⋊C4—471no—
1264C2×C4⋊C4—941no—
1265C2×C4⋊C4—941no—
1266C2×C4⋊C4—941no—
1267C2×C4⋊C4—941no—
1268C2×C4⋊C4—941no—
1269C2×C4⋊C4—941no—
1270C2×C4⋊C4—941no—
1271C2×C4⋊C4—941no—
1272C2×C4⋊C4—941no—
1273C2×C4⋊C4—941no—
1274C2×C4⋊C4—941no—
1275C2×C4⋊C4—941no—
1276C2×C4⋊C4C22×D4711yescharacteristic
1277C2×C22⋊C4—471no—
1278C2×C22⋊C4—471no—
1279C2×C22⋊C4—941no—
1280C2×C22⋊C4—941no—
1281C2×C42—471no—
1282C2×C42—471no—
1283C2×C42—941no—
1284C2×C42—941no—
1285C2×C42—941no—
1286C2×C42—941no—
1287#107—471no—
1288#107—471no—
1289#107—471no—
1290#107—471no—
1291#107C22×D4711yescharacteristic
1292#107C22×D4711yescharacteristic
1293#107C22×D4711yescharacteristic
1294#107C22×D4711yescharacteristic
1295#106—471no—
1296#106—471no—
1297#106—471no—
1298#106—471no—
1299#106—471no—
1300#106—471no—
1301#106—471no—
1302#106—471no—
1303C4⋊C8—471no—
1304C4⋊C8—471no—
1305C4⋊C8—471no—
1306C4⋊C8—471no—
1307C4⋊C8—471no—
1308C4⋊C8—471no—
1309C4⋊C8C22×D4711yescharacteristic
1310C4⋊C8C22×D4711yescharacteristic
1311#103—471no—
1312#103—471no—
1313#103—471no—
1314#103—471no—
1315#103—471no—
1316#103—471no—
1317#103—471no—
1318#103—471no—
1319#103—471no—
1320#103—471no—
1321#103—471no—
1322#103—471no—
1323#103C22×D4711yescharacteristic
1324#103C22×D4711yescharacteristic
1325#103C22×D4711yescharacteristic
1326#103C22×D4711yescharacteristic
1327#102—471no—
1328#102—471no—
1329#102—471no—
1330#102—471no—
1331#102—471no—
1332#102—471no—
1333#102—471no—
1334#102—471no—
1335#102—471no—
1336#102—471no—
1337#102—471no—
1338#102—471no—
1339#102C22×D4711yescharacteristic
1340#102C22×D4711yescharacteristic
1341#102C22×D4711yescharacteristic
1342#102C22×D4711yescharacteristic
1343C22⋊C8—471no—
1344C22⋊C8—471no—
1345C22⋊C8—471no—
1346C22⋊C8—471no—
1347C22⋊C8—471no—
1348C22⋊C8—471no—
1349C22⋊C8C22×D4711yescharacteristic
1350C22⋊C8C22×D4711yescharacteristic
1351#97—471no—
1352#97—471no—
1353#97—471no—
1354#97C22×D4711yescharacteristic
1355C4×C8—471no—
1356C4×C8—471no—
1357C4×C8—471no—
1358C4×C8C22×D4711yescharacteristic
1359C24—471no—
1360C24—941no—
1361#41—22no—
1362#41—22no—
1363#41—942no—
1364#41—942no—
1365#41—948no—
1366#41—942no—
1367#41—942no—
1368#41—942no—
1369#41—942no—
1370#41—942no—
1371#41—948no—
1372#41—942no—
1373#41—942no—
1374#41—942no—
1375C2×Q8—21no—
1376C2×Q8—474no—
1377C2×Q8—471no—
1378C2×Q8—471no—
1379C2×Q8—941no—
1380C2×Q8—942no—
1381C2×Q8—941no—
1382C2×Q8C23×D4711yescharacteristic
1383C2×Q8C23×D4711yescharacteristic
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—474no—
1387C2×D4—471no—
1388C2×D4—471no—
1389C2×D4—941no—
1390C2×D4—941no—
1391C2×D4—941no—
1392C2×D4—942no—
1393C2×D4—941no—
1394C2×D4—941no—
1395C2×D4—941no—
1396C2×D4—948no—
1397C2×D4—941no—
1398C2×D4—941no—
1399C2×D4—941no—
1400C2×D4—941no—
1401C2×D4—941no—
1402C2×D4C23×D4711yescharacteristic
1403C2×D4C23×D4711yescharacteristic
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—471no—
1410C22×C4—471no—
1411C22×C4—471no—
1412C22×C4—471no—
1413C22×C4—471no—
1414C22×C4—471no—
1415C22×C4—471no—
1416C22×C4—471no—
1417C22×C4—471no—
1418C22×C4—941no—
1419C22×C4—942no—
1420C22×C4—942no—
1421C22×C4—941no—
1422C22×C4—941no—
1423C22×C4—941no—
1424C22×C4—941no—
1425C22×C4—941no—
1426C22×C4—948no—
1427C22×C4—941no—
1428C22×C4—941no—
1429C22×C4—941no—
1430C22×C4—941no—
1431C22×C4—941no—
1432C22×C4—941no—
1433C22×C4—941no—
1434C22×C4—941no—
1435C22×C4—941no—
1436C22×C4—941no—
1437C22×C4—941no—
1438C22×C4—941no—
1439C22×C4—941no—
1440C22×C4—941no—
1441C22×C4—3762no—
1442C22×C4—3762no—
1443C22×C4—3762no—
1444C22×C4C23×D4711yescharacteristic
1445Q16—22no—
1446Q16—942no—
1447Q16—942no—
1448Q16—942no—
1449SD16—22no—
1450SD16—22no—
1451SD16—942no—
1452SD16—942no—
1453SD16—942no—
1454SD16—942no—
1455SD16—942no—
1456SD16—942no—
1457D8—22no—
1458D8—942no—
1459D8—942no—
1460D8—942no—
1461M16—942no—
1462M16—942no—
1463M16—942no—
1464M16—942no—
1465C2×C8—471no—
1466C2×C8—471no—
1467C2×C8—471no—
1468C2×C8—471no—
1469C2×C8C23×D4711yescharacteristic
1470C2×C8C23×D4711yescharacteristic
1471C2×C8C23×D4711yescharacteristic
1472C2×C8C23×D4711yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—471no—
1480C4⋊C4—471no—
1481C4⋊C4—471no—
1482C4⋊C4—471no—
1483C4⋊C4—471no—
1484C4⋊C4—471no—
1485C4⋊C4—471no—
1486C4⋊C4—471no—
1487C4⋊C4—471no—
1488C4⋊C4—471no—
1489C4⋊C4—941no—
1490C4⋊C4—941no—
1491C4⋊C4—941no—
1492C4⋊C4—941no—
1493C4⋊C4—941no—
1494C4⋊C4—941no—
1495C4⋊C4—941no—
1496C4⋊C4—941no—
1497C4⋊C4—941no—
1498C4⋊C4—941no—
1499C4⋊C4—941no—
1500C4⋊C4—941no—
1501C4⋊C4—941no—
1502C4⋊C4—941no—
1503C4⋊C4—941no—
1504C4⋊C4—941no—
1505C4⋊C4—941no—
1506C4⋊C4—941no—
1507C4⋊C4—941no—
1508C4⋊C4—941no—
1509C4⋊C4—941no—
1510C4⋊C4—941no—
1511C4⋊C4—941no—
1512C4⋊C4—941no—
1513C4⋊C4D4×D4711yescharacteristic
1514C4⋊C4D4×D4711yescharacteristic
1515C4⋊C4C23×D4711yescharacteristic
1516C4⋊C4C23×D4711yescharacteristic
1517C4⋊C4C23×D4711yescharacteristic
1518C4⋊C4C23×D4711yescharacteristic
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—471no—
1527C22⋊C4—471no—
1528C22⋊C4—471no—
1529C22⋊C4—471no—
1530C22⋊C4—471no—
1531C22⋊C4—471no—
1532C22⋊C4—941no—
1533C22⋊C4—941no—
1534C22⋊C4—941no—
1535C22⋊C4—941no—
1536C22⋊C4—941no—
1537C22⋊C4—941no—
1538C22⋊C4—941no—
1539C22⋊C4—941no—
1540C22⋊C4—941no—
1541C22⋊C4—941no—
1542C22⋊C4—941no—
1543C22⋊C4—941no—
1544C22⋊C4—941no—
1545C22⋊C4—941no—
1546C22⋊C4—941no—
1547C22⋊C4—941no—
1548C22⋊C4—941no—
1549C22⋊C4—941no—
1550C22⋊C4—941no—
1551C22⋊C4D4×D4711yescharacteristic
1552C22⋊C4D4×D4711yescharacteristic
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—471no—
1557C42—471no—
1558C42—471no—
1559C42—471no—
1560C42—471no—
1561C42—471no—
1562C42—941no—
1563C42—941no—
1564C42—941no—
1565C42—941no—
1566C42—941no—
1567C42—941no—
1568C42—941no—
1569C42—941no—
1570C42—941no—
1571C42—941no—
1572C42—941no—
1573C42C23×D4711yescharacteristic
1574C42C23×D4711yescharacteristic
1575C23—21no—
1576C23—21no—
1577C23—471no—
1578C23—471no—
1579C23—944no—
1580C23—942no—
1581C23—941no—
1582C23—941no—
1583C23—1881no—
1584C23—1881no—
1585C23—1882no—
1586C23—1882no—
1587C23C2×D4×D4711yescharacteristic
1588Q8—21no—
1589Q8—21no—
1590Q8—21no—
1591Q8—81no—
1592Q8—472no—
1593Q8—944no—
1594Q8—941no—
1595Q8—941no—
1596Q8—941no—
1597Q8—3761no—
1598Q8#41×D4712yes—
1599D4—24no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—81no—
1604D4—472no—
1605D4—944no—
1606D4—944no—
1607D4—944no—
1608D4—944no—
1609D4—941no—
1610D4—941no—
1611D4—941no—
1612D4—3761no—
1613D4—3761no—
1614D4—3761no—
1615D4—3761no—
1616D4—3761no—
1617D4—1882no—
1618D4—1882no—
1619D4#41×D4712yes—
1620C2×C4—24no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—471no—
1634C2×C4—472no—
1635C2×C4—472no—
1636C2×C4—471no—
1637C2×C4—471no—
1638C2×C4—471no—
1639C2×C4—471no—
1640C2×C4—471no—
1641C2×C4—942no—
1642C2×C4—942no—
1643C2×C4—944no—
1644C2×C4—944no—
1645C2×C4—944no—
1646C2×C4—942no—
1647C2×C4—944no—
1648C2×C4—941no—
1649C2×C4—941no—
1650C2×C4—941no—
1651C2×C4—941no—
1652C2×C4—941no—
1653C2×C4—941no—
1654C2×C4—941no—
1655C2×C4—941no—
1656C2×C4—3761no—
1657C2×C4—3761no—
1658C2×C4—3761no—
1659C2×C4—3761no—
1660C2×C4—3761no—
1661C2×C4—3761no—
1662C2×C4—3761no—
1663C2×C4—3761no—
1664C2×C4—3761no—
1665C2×C4—3761no—
1666C2×C4—3761no—
1667C2×C4—3761no—
1668C2×C4—1881no—
1669C2×C4—1881no—
1670C2×C4—1881no—
1671C2×C4—1881no—
1672C2×C4—1882no—
1673C2×C4—1882no—
1674C2×C4—1882no—
1675C2×C4—1882no—
1676C2×C4C2×D4×D4711yescharacteristic
1677C2×C4C2×D4×D4711yescharacteristic
1678C2×C4C2×D4×D4711yescharacteristic
1679C2×C4C2×D4×D4711yescharacteristic
1680C2×C4C2×D4×D4711yescharacteristic
1681C2×C4C24×D4711yescharacteristic
1682C8—21no—
1683C8—21no—
1684C8—21no—
1685C8—21no—
1686C8—941no—
1687C8—941no—
1688C8—941no—
1689C8—941no—
1690C22—21no—
1691C22—22no—
1692C22—21no—
1693C22—21no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—472no—
1700C22—941no—
1701C22—941no—
1702C22—942no—
1703C22—941no—
1704C22—941no—
1705C22—941no—
1706C22—1884no—
1707C22—1888no—
1708C22—1881no—
1709C22—1881no—
1710C22—1881no—
1711C22—1881no—
1712C22—1881no—
1713C22C22×D4×D4711yescharacteristic
1714C4—21no—
1715C4—22no—
1716C4—21no—
1717C4—21no—
1718C4—21no—
1719C4—21no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—472no—
1726C4—941no—
1727C4—942no—
1728C4—941no—
1729C4—941no—
1730C4—941no—
1731C4—941no—
1732C4—1881no—
1733C4—1881no—
1734C4—1881no—
1735C4—1881no—
1736C4—1881no—
1737C4C2×#41×D4711yescharacteristic
1738C4C2×#41×D4711yescharacteristic
1739C2—41no—
1740C2—42no—
1741C2—81no—
1742C2—942no—
1743C2—3761no—
1744C2—1881no—
1745C2—1882no—
1746C2#525×D4711yescharacteristic
1747C2#2025816311yescharacteristic
1748C2#2025817311yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3124C2
socleC22×C47C23×D4
hypercenter#3124D47
hypocenterC47#60565
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #117 ◁ #3124

Complements

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

NH ≅ G/Ntype
1. #20256775C2semidirect
2. #520×D47C2semidirect
3. #20253667C2semidirect
4. #20253665C2semidirect
5. #20253664C2semidirect
6. #20253662C2semidirect
7. #20253657C2semidirect
8. #20253655C2semidirect
9. #20253644C2semidirect
10. #20253608C2semidirect
11. #20253606C2semidirect
12. #20253597C2semidirect
13. #20253595C2semidirect
14. #20253590C2semidirect
15. #20253588C2semidirect
16. #20253585C2semidirect
17. #20253583C2semidirect
18. #20253315C2semidirect
19. #20253307C2semidirect
20. #20253194C2semidirect
21. #20253180C2semidirect
22. #20252858C2semidirect
23. #20252850C2semidirect
24. #20252631C2semidirect
25. #20252626C2semidirect
26. #20252210C2semidirect
27. C4×#13094056C2semidirect
28. #20252193C2semidirect
29. C4×#13094048C2semidirect
30. #20252022C2semidirect
31. C47×#3124C2semidirect
37. #15689747C22semidirect
38. #15689744C22semidirect
39. #15689742C22semidirect
40. #15689733C22semidirect
41. #15689731C22semidirect
42. #15689726C22semidirect
43. #15689724C22semidirect
79. #15689460C22semidirect
80. #15689460C22semidirect
81. #15689456C22semidirect
82. #15689454C22semidirect
83. #15689453C22semidirect
84. #15689452C22semidirect
85. #15689452C22semidirect
86. #15689442C22semidirect
87. #15689441C22semidirect
88. #15689440C22semidirect
89. #15689440C22semidirect
90. #15689438C22semidirect
91. #15689438C22semidirect
92. #15689434C22semidirect
93. #15689429C22semidirect
94. #15689429C22semidirect
95. #15689428C22semidirect
96. #15689428C22semidirect
97. #15689426C22semidirect
98. #15689426C22semidirect
99. #15689425C22semidirect
100. #15689425C22semidirect
101. #15689415C22semidirect
102. #15689414C22semidirect
103. #15689413C22semidirect
104. #15689409C22semidirect
105. #15689408C22semidirect
106. #15689400C22semidirect
107. #15689346C22semidirect
108. #15689345C22semidirect
109. #15689342C22semidirect
110. #15689339C22semidirect
111. #15689338C22semidirect
112. #15689335C22semidirect
113. #15689332C22semidirect
114. #15689331C22semidirect
115. #15689327C22semidirect
116. #15689326C22semidirect
117. #15689322C22semidirect
118. #15689321C22semidirect
119. #15689317C22semidirect
120. #15689316C22semidirect
135. #15689236C22semidirect
136. #15689235C22semidirect
137. #15689233C22semidirect
138. #15689232C22semidirect
139. #15689231C22semidirect
140. #15689230C22semidirect
141. #15689228C22semidirect
142. #15689227C22semidirect
143. #15689226C22semidirect
144. #15689223C22semidirect
145. #15689222C22semidirect
146. #15689222C22semidirect
147. #15689221C22semidirect
148. #15689220C22semidirect
149. #15689217C22semidirect
150. C4×#10625337C22semidirect
151. #15689215C22semidirect
152. #15689214C22semidirect
153. C4×#10625325C22semidirect
154. C4×#10625325C22semidirect
155. SD16×Dic47C22semidirect
156. SD16×Dic47C22semidirect
157. C4×#10625336C22semidirect
158. C4×#10625335C22semidirect
159. #15689208C22semidirect
160. #15689205C22semidirect
161. C4×#10625334C22semidirect
162. #15689203C22semidirect
163. #15689185C22semidirect
164. #15689184C22semidirect
165. #15689183C22semidirect
166. #15689183C22semidirect
167. #15689182C22semidirect
168. #15689181C22semidirect
169. #15689181C22semidirect
188. C47×#542C22semidirect
190. C47×#484C22semidirect
191. C47×#480C22semidirect
192. C47×#477C22semidirect
193. C47×#474C22semidirect
194. C47×#464C22semidirect
195. C47×#463C22semidirect
198. C47×#440C22semidirect
199. C47×#440C22semidirect
200. C4×Q16×C47C22semidirect
201. C4×D8×C47C22semidirect
202. C47×#433C22semidirect
874. #3124D47semidirect
914. #542C2×D47semidirect
958. #484C2×D47semidirect
970. #480C2×D47semidirect
980. #477C2×D47semidirect
986. #474C2×D47semidirect
990. #464C2×D47semidirect
994. #463C2×D47semidirect
1033. #440C2×D47semidirect
1034. #440C2×D47semidirect
1038. C4×Q16C2×D47semidirect
1050. C4×D8C2×D47semidirect
1058. #433C2×D47semidirect
1077. C47#60565semidirect

Maximal subgroups

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

subgroupindex
#202567752
#520×D472
#202536672
#202536652
#202536642
#202536622
#202536572
#202536552
#202536442
#202536082
#202536062
#202535972
#202535952
#202535902
#202535882
#202535852
#202535832
#202533152
#202533072
#202531942
#202531802
#202528582
#202528502
#202526312
#202526262
#202522102
C4×#130940562
#202521932
C4×#130940482
#202520222
C47×#31242
#6056547