Finite Group Databasebeta

← #12979568

Subgroups — #12979568

Order 1280.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10618885C211yesmaximal, characteristic, complemented
2#10618662C211yesmaximal, characteristic, complemented
3C5×#3367C211yesmaximal, characteristic, complemented
4#10615400C211yesmaximal, characteristic, complemented
5#10615300C211yesmaximal, characteristic, complemented
6#10613413C211yesmaximal, characteristic, complemented
7#10613411C211yesmaximal, characteristic, complemented
8#10613407C211yesmaximal, characteristic, complemented
9#10613405C211yesmaximal, characteristic, complemented
10#10613352C211yesmaximal, characteristic, complemented
11#10613330C211yesmaximal, characteristic, complemented
12#10612865C211yesmaximal, characteristic, complemented
13#10612841C211yesmaximal, characteristic, complemented
14#10612838C211yesmaximal, characteristic, complemented
15#10612831C211yesmaximal, characteristic, complemented
16#10612698C211yesmaximal, characteristic, complemented
17#10612686C211yesmaximal, characteristic, complemented
18#10612267C211yesmaximal, characteristic
19D5×#463C211yesmaximal, characteristic, complemented
20#10612251C211yesmaximal, characteristic, complemented
21#10612247C211yesmaximal, characteristic, complemented
22#10612161C211yesmaximal, characteristic, complemented
23#10612150C211yesmaximal, characteristic, complemented
24#10611702C211yesmaximal, characteristic, complemented
25#10611692C211yesmaximal, characteristic, complemented
26#10611508C211yesmaximal, characteristic, complemented
27#10611504C211yesmaximal, characteristic, complemented
28#10611488C211yesmaximal, characteristic, complemented
29#10611484C211yesmaximal, characteristic, complemented
30#10611319C211yesmaximal, characteristic, complemented
31#10611300C211yesmaximal, characteristic, complemented
32C5×#556C2211yescharacteristic, complemented
33C5×D4×Q8C2211yescharacteristic, complemented
34Q8×C22⋊D5—21no—
35C2×#4092—21no—
36C2×#4060C2211yescharacteristic
37C2×D5×SD16C2211yescharacteristic
38C2×D5×D8C2211yescharacteristic
39#66066C2211yescharacteristic, complemented
40#66064C2211yescharacteristic, complemented
41#66064C2211yescharacteristic, complemented
42#66063C2211yescharacteristic
43#66063C2211yescharacteristic
44#66062C2211yescharacteristic
45#66061C2211yescharacteristic, complemented
46#66058C2211yescharacteristic
47#66044—21no—
48#66040—21no—
49#66039—21no—
50#66039—21no—
51#66015C2211yescharacteristic, complemented
52#66008C2211yescharacteristic
53D5×#124C2211yescharacteristic
54#66005C2211yescharacteristic, complemented
55#65974—21no—
56#65971—21no—
57#65970—21no—
58#65970—21no—
59#65969—21no—
60#65968—21no—
61#65968—21no—
62D5×C22⋊Q8—21no—
63#65919C2211yescharacteristic, complemented
64#65919C2211yescharacteristic, complemented
65#65913C2211yescharacteristic, complemented
66#65912C2211yescharacteristic
67C4×#713C2211yescharacteristic
68#65906C2211yescharacteristic
69#65902C2211yescharacteristic, complemented
70#65893C2211yescharacteristic, complemented
71#65879C2211yescharacteristic
72#65879C2211yescharacteristic
73#65879C2211yescharacteristic
74C4×D4×D5C2211yescharacteristic
75#65877C2211yescharacteristic, complemented
76#65873C2211yescharacteristic, complemented
77#65873C2211yescharacteristic, complemented
78#65862—21no—
79#65861—21no—
80C5×#489C2211yescharacteristic, complemented
81C5×#489C2211yescharacteristic, complemented
82C5×#487C2211yescharacteristic, complemented
83C5×#477C2211yescharacteristic, complemented
84C5×#477C2211yescharacteristic, complemented
85C5×#474C2211yescharacteristic, complemented
86C5×#463C2211yescharacteristic
87C5×#463C2211yescharacteristic
88C5×#461C2211yescharacteristic, complemented
89C5×#446C2211yescharacteristic, complemented
90C5×#440C2211yescharacteristic, complemented
91C5×#440C2211yescharacteristic, complemented
92C4×C5×D8C2211yescharacteristic
93#65454C2211yescharacteristic
94#65454C2211yescharacteristic
95#65454C2211yescharacteristic, complemented
96#65453C2211yescharacteristic, complemented
97#65451C2211yescharacteristic, complemented
98SD16×Dic5C2211yescharacteristic, complemented
99#65442C2211yescharacteristic
100#65439C2211yescharacteristic
101D8×Dic5C2211yescharacteristic
102#65383C2211yescharacteristic, complemented
103#65378C2211yescharacteristic, complemented
104#65378C2211yescharacteristic, complemented
105#65377C2211yescharacteristic, complemented
106#65373C2211yescharacteristic, complemented
107#65373C2211yescharacteristic, complemented
108#65372C2211yescharacteristic, complemented
109#65371C2211yescharacteristic, complemented
110#65346C2211yescharacteristic
111#65346C2211yescharacteristic
112#65345C2211yescharacteristic, complemented
113#65344C2211yescharacteristic, complemented
114#65315C2211yescharacteristic, complemented
115C4×#688C2211yescharacteristic, complemented
116#65313C2211yescharacteristic, complemented
117#65311C2211yescharacteristic, complemented
118#65309C2211yescharacteristic, complemented
119C4×#687C2211yescharacteristic, complemented
120#65305C2211yescharacteristic
121#65305C2211yescharacteristic, complemented
122#65304C2211yescharacteristic
123#65303C2211yescharacteristic
124#65303C2211yescharacteristic
125#65303C2211yescharacteristic, complemented
126#65298C2211yescharacteristic, complemented
127#65180C2211yescharacteristic, complemented
128#65180C2211yescharacteristic, complemented
129#65180C2211yescharacteristic, complemented
130#65179C2211yescharacteristic, complemented
131#65178C2211yescharacteristic, complemented
132#65170C2211yescharacteristic
133#65169C2211yescharacteristic
134#65169C2211yescharacteristic
135#65166C2211yescharacteristic, complemented
136#65164C2211yescharacteristic, complemented
137#65161C2211yescharacteristic
138#65161C2211yescharacteristic, complemented
139#65136C2211yescharacteristic, complemented
140#65135C2211yescharacteristic, complemented
141#65133C2211yescharacteristic
142#65133C2211yescharacteristic, complemented
143#65132C2211yescharacteristic
144#65128C2211yescharacteristic
145#65128C2211yescharacteristic
146D5×C4⋊C8C2211yescharacteristic
147#65119C2211yescharacteristic, complemented
148#65118C2211yescharacteristic, complemented
149#65117C2211yescharacteristic, complemented
150#65117C2211yescharacteristic, complemented
151#65108C2211yescharacteristic
152#65108C2211yescharacteristic
153#65108C2211yescharacteristic, complemented
154#65107C2211yescharacteristic, complemented
155#65093C2211yescharacteristic
156#65093C2211yescharacteristic
157#65092C2211yescharacteristic
158#65091C2211yescharacteristic
159#65091C2211yescharacteristic
160D5×#103C2211yescharacteristic
161#65089C2211yescharacteristic, complemented
162#65089C2211yescharacteristic, complemented
163#65089C2211yescharacteristic, complemented
164#65089C2211yescharacteristic, complemented
165#65086C2211yescharacteristic, complemented
166#65085C2211yescharacteristic, complemented
167#65085C2211yescharacteristic, complemented
168#65085C2211yescharacteristic, complemented
169#65084C2211yescharacteristic, complemented
170#65084C2211yescharacteristic, complemented
171#65081C2211yescharacteristic, complemented
172#65080C2211yescharacteristic, complemented
173#65077C2211yescharacteristic, complemented
174#65077C2211yescharacteristic, complemented
175#65076C2211yescharacteristic
176#65075C2211yescharacteristic
177#65074C2211yescharacteristic
178#65074C2211yescharacteristic
179#65059C2211yescharacteristic
180#65059C2211yescharacteristic
181#65059C2211yescharacteristic
182D5×#102C2211yescharacteristic
183#65057C2211yescharacteristic, complemented
184#65057C2211yescharacteristic, complemented
185#65055C2211yescharacteristic, complemented
186#65053C2211yescharacteristic, complemented
187#65050C2211yescharacteristic, complemented
188#65049C2211yescharacteristic, complemented
189#65047C2211yescharacteristic, complemented
190#65045C2211yescharacteristic, complemented
191#65003C2211yescharacteristic, complemented
192#65002C2211yescharacteristic, complemented
193#65000C2211yescharacteristic, complemented
194#64999C2211yescharacteristic, complemented
195#64997C2211yescharacteristic
196#64996C2211yescharacteristic
197#64990C2211yescharacteristic, complemented
198#64990C2211yescharacteristic, complemented
199#64986C2211yescharacteristic, complemented
200C4×D40C2211yescharacteristic
201#64978C2211yescharacteristic
202C8×Dic10C2211yescharacteristic, complemented
203#61343—51nomaximal, Sylow
204C22×C5×Q8—21no—
205C2×#713C2311yescharacteristic
206C2×Q8×D5—21no—
207C2×Q8×D5C2311yescharacteristic
208C2×D4×D5C2311yescharacteristic
209C2×D4×D5C2311yescharacteristic
210C22×C4×D5—21no—
211C2×C5×SD16C2311yescharacteristic
212C2×C5×SD16C2311yescharacteristic
213C2×C5×D8C2311yescharacteristic
214C5×C4⋊Q8C2311yescharacteristic
215C5×C4⋊Q8C2311yescharacteristic
216C5×C4⋊Q8C2311yescharacteristic
217C5×C4⋊Q8C2311yescharacteristic
218C5×#126—21no—
219C5×#126—21no—
220C5×#124C2311yescharacteristic
221C5×#124C2311yescharacteristic
222C5×C22⋊Q8—21no—
223C5×C22⋊Q8—21no—
224C5×C22⋊Q8—21no—
225C5×C22⋊Q8—21no—
226C4×C5×Q8C2311yescharacteristic
227C4×C5×Q8C2311yescharacteristic
228C4×C5×Q8C2311yescharacteristic
229C4×C5×D4C2311yescharacteristic
230C4×C5×D4C2311yescharacteristic
231C4×C5×D4C2311yescharacteristic
232C4×C5×D4C2311yescharacteristic
233C5×#117—21no—
234#4093—21no—
235#4093C2311yescharacteristic
236#4093C2311yescharacteristic
237#4093C2311yescharacteristic
238#4092—21no—
239#4092—21no—
240#4092—21no—
241#4092—21no—
242#4092—21no—
243#4092—21no—
244#4092—21no—
245#4092—21no—
246#4092—21no—
247#4092D411yescharacteristic
248Q8×Dic5—21no—
249Q8×Dic5C2311yescharacteristic
250Q8×Dic5C2311yescharacteristic
251#4090—21no—
252#4090—21no—
253#4090D411yescharacteristic
254#4090C2311yescharacteristic
255C2×#688C2311yescharacteristic
256C2×#688C2311yescharacteristic
257#4086C2311yescharacteristic
258#4082C2311yescharacteristic
259D4×Dic5C2311yescharacteristic
260D4×Dic5C2311yescharacteristic
261D4×Dic5C2311yescharacteristic
262D4×Dic5C2311yescharacteristic
263C2×#687C2311yescharacteristic
264C2×#686C2311yescharacteristic
265C2×#686C2311yescharacteristic
266C2×#686C2311yescharacteristic
267#4075—21no—
268C4×C22⋊D5—21no—
269C4×C22⋊D5—21no—
270C4×C22⋊D5—21no—
271C4×C22⋊D5—21no—
272C4×C22⋊D5—21no—
273C2×#685—21no—
274C2×#685—21no—
275C2×#685—21no—
276C2×C4⋊Dic5—21no—
277#4070—21no—
278#4070—21no—
279#4070—21no—
280C2×#683—21no—
281C2×#683—21no—
282#4060—24no—
283D5×SD16—24no—
284D5×D8—24no—
285C2×D40C2311yescharacteristic
286C2×D40C2311yescharacteristic
287C2×#677C2311yescharacteristic
288C2×#676C2311yescharacteristic
289C2×#676C2311yescharacteristic
290C2×C8×D5C2311yescharacteristic
291C2×C8×D5C2311yescharacteristic
292#4044—21no—
293#4044—21no—
294#4044—21no—
295#4043—21no—
296#4043—21no—
297#4043—21no—
298#4043—21no—
299#4043D411yescharacteristic
300#4042—21no—
301#4042—21no—
302#4042—21no—
303#4042—21no—
304#4042—21no—
305#4042—21no—
306#4042—21no—
307#4042—21no—
308#4042—21no—
309#4042D411yescharacteristic
310#4042D411yescharacteristic
311#4040—21no—
312#4040—21no—
313#4040—21no—
314#4040—21no—
315#4040—21no—
316#4040—21no—
317#4039—21no—
318#4039—21no—
319#4039C2311yescharacteristic
320#4039C2311yescharacteristic
321#4039C2311yescharacteristic
322#4039C2311yescharacteristic
323#4039C2311yescharacteristic
324#4038—21no—
325#4038—21no—
326#4038—21no—
327#4038C2311yescharacteristic
328#4038C2311yescharacteristic
329#4038C2311yescharacteristic
330D5×C4⋊C4—21no—
331D5×C4⋊C4—21no—
332D5×C4⋊C4—21no—
333D5×C4⋊C4C2311yescharacteristic
334#4036C2311yescharacteristic
335#4036C2311yescharacteristic
336#4036C2311yescharacteristic
337#4036C2311yescharacteristic
338#4035—21no—
339#4035—21no—
340#4035D411yescharacteristic
341#4035D411yescharacteristic
342#4034D411yescharacteristic
343#4034C2311yescharacteristic
344#4034C2311yescharacteristic
345#4033—21no—
346#4033—21no—
347#4033C2311yescharacteristic
348#4032—21no—
349#4031—21no—
350#4031—21no—
351#4031—21no—
352#4031—21no—
353#4030—21no—
354#4030—21no—
355#4029—21no—
356#4029—21no—
357#4028—21no—
358#4028—21no—
359#4027—21no—
360#4027—21no—
361#4027—21no—
362#4027—21no—
363#4027—21no—
364D5×C22⋊C4—21no—
365D5×C22⋊C4—21no—
366D5×C22⋊C4—21no—
367D5×C22⋊C4—21no—
368D5×C22⋊C4—21no—
369D5×C22⋊C4—21no—
370#4025—21no—
371#4025—21no—
372#4024—21no—
373#4024—21no—
374#4024—21no—
375#4024—21no—
376#4024—21no—
377#4024—21no—
378#4024—21no—
379#4023—21no—
380#4022—21no—
381#4021—21no—
382#4021C2311yescharacteristic
383#4021C2311yescharacteristic
384#4020C2311yescharacteristic
385C4×D20—21no—
386C4×D20—21no—
387C4×D20C2311yescharacteristic
388C4×D20C2311yescharacteristic
389C4×D20C2311yescharacteristic
390C4×D20C2311yescharacteristic
391C4×D20C2311yescharacteristic
392#4018—21no—
393#4018—21no—
394#4018C2311yescharacteristic
395#4018C2311yescharacteristic
396C42×D5—21no—
397C42×D5C2311yescharacteristic
398#4016C2311yescharacteristic
399#4016C2311yescharacteristic
400#4015C2311yescharacteristic
401C4×Dic10—21no—
402C4×Dic10C2311yescharacteristic
403C4×Dic10C2311yescharacteristic
404C4×Dic10C2311yescharacteristic
405C4×Dic10C2311yescharacteristic
406C5×#107C2311yescharacteristic
407C5×#107C2311yescharacteristic
408C5×#107C2311yescharacteristic
409C5×C4⋊C8C2311yescharacteristic
410C5×C4⋊C8C2311yescharacteristic
411C5×C4⋊C8C2311yescharacteristic
412C5×#103C2311yescharacteristic
413C5×#103C2311yescharacteristic
414C5×#103C2311yescharacteristic
415C5×#103C2311yescharacteristic
416C5×#103C2311yescharacteristic
417C5×#103C2311yescharacteristic
418C5×#102C2311yescharacteristic
419C5×#102C2311yescharacteristic
420C5×#102C2311yescharacteristic
421C5×#102C2311yescharacteristic
422C5×#97C2311yescharacteristic
423C5×#97C2311yescharacteristic
424C4×C5×C8C2311yescharacteristic
425#3967C2311yescharacteristic
426#3967C2311yescharacteristic
427#3967C2311yescharacteristic
428#3967C2311yescharacteristic
429#3967C2311yescharacteristic
430#3967C2311yescharacteristic
431#3964C2311yescharacteristic
432#3964C2311yescharacteristic
433#3964C2311yescharacteristic
434#3964C2311yescharacteristic
435#3953C2311yescharacteristic
436#3953C2311yescharacteristic
437#3953C2311yescharacteristic
438#3953C2311yescharacteristic
439#3953C2311yescharacteristic
440#3953C2311yescharacteristic
441#3953C2311yescharacteristic
442#3950C2311yescharacteristic
443#3950C2311yescharacteristic
444#3949C2311yescharacteristic
445#3948C2311yescharacteristic
446#3948C2311yescharacteristic
447#3948C2311yescharacteristic
448#3947C2311yescharacteristic
449#3947C2311yescharacteristic
450#3946C2311yescharacteristic
451#3946C2311yescharacteristic
452#3946C2311yescharacteristic
453#3946C2311yescharacteristic
454#3946C2311yescharacteristic
455#3946C2311yescharacteristic
456C8×Dic5C2311yescharacteristic
457C8×Dic5C2311yescharacteristic
458C8×Dic5C2311yescharacteristic
459C8×Dic5C2311yescharacteristic
460#3942C2311yescharacteristic
461#3942C2311yescharacteristic
462#3942C2311yescharacteristic
463#3941C2311yescharacteristic
464#3941C2311yescharacteristic
465#3941C2311yescharacteristic
466#3941C2311yescharacteristic
467#3941C2311yescharacteristic
468#3941C2311yescharacteristic
469#3941C2311yescharacteristic
470#3940C2311yescharacteristic
471#3940C2311yescharacteristic
472#3940C2311yescharacteristic
473#3940C2311yescharacteristic
474#3940C2311yescharacteristic
475#3939C2311yescharacteristic
476C4⋊#168C2311yescharacteristic
477C4⋊#168C2311yescharacteristic
478C4⋊#168C2311yescharacteristic
479#3935C2311yescharacteristic
480#3935C2311yescharacteristic
481C4×#168C2311yescharacteristic
482#3510—51no—
483#3501—51no—
484#3376—51no—
485#3376—51no—
486#3376—51no—
487#3376—51no—
488#3373—51no—
489#3373—51no—
490#3370—51no—
491#3370—51no—
492#3370—51no—
493#3370—51no—
494#3367—51no—
495#3367D511yescharacteristic, complemented
496#3361—51no—
497#3361—51no—
498#3360—51no—
499#3360—51no—
500#3140—51no—
501#3137—51no—
502#3136—51no—
503#3082—51no—
504#3081—51no—
505#3076—51no—
506#3042—51no—
507#3041—51no—
508C2×#463—51no—
509#2962—51no—
510#2949—51no—
511#2948—51no—
512C4×AGL(1,ℤ/8)—51no—
513C23×D5—21no—
514C23×D5—21no—
515C2×C5×Q8—21no—
516C2×C5×Q8—21no—
517C2×C5×Q8—21no—
518C2×C5×Q8—82no—
519C2×C5×Q8C2×D411yescharacteristic
520C2×C5×Q8C2411yescharacteristic
521C2×C5×Q8C2411yescharacteristic
522C2×C5×D4C2411yescharacteristic
523C2×C5×D4C2411yescharacteristic
524C22×C4×C5—21no—
525C22×C4×C5—21no—
526C22×C4×C5—21no—
527C22×C4×C5—21no—
528C2×C22⋊D5—21no—
529C2×C22⋊D5—21no—
530C2×C22⋊D5—21no—
531C2×C22⋊D5—21no—
532C22×Dic5—21no—
533C22×Dic5—21no—
534C22×Dic5—21no—
535C22×Dic5—21no—
536#713—22no—
537#713—22no—
538Q8×D5—22no—
539Q8×D5—22no—
540Q8×D5—82no—
541D4×D5—22no—
542D4×D5—22no—
543D4×D5—22no—
544D4×D5#4114yes—
545C2×D20—21no—
546C2×D20—21no—
547C2×D20—21no—
548C2×D20C2411yescharacteristic
549C2×D20C2411yescharacteristic
550C2×D20C2411yescharacteristic
551C2×C4×D5—21no—
552C2×C4×D5—21no—
553C2×C4×D5—21no—
554C2×C4×D5—21no—
555C2×C4×D5—21no—
556C2×C4×D5—21no—
557C2×C4×D5—21no—
558C2×C4×D5—21no—
559C2×C4×D5—21no—
560C2×C4×D5—21no—
561C2×C4×D5—21no—
562C2×C4×D5—21no—
563C2×C4×D5—21no—
564C2×C4×D5—82no—
565C2×C4×D5C2×D411yescharacteristic
566C2×C4×D5C2×D411yescharacteristic
567C2×C4×D5C2411yescharacteristic
568C2×Dic10—21no—
569C2×Dic10—21no—
570C2×Dic10—21no—
571C2×Dic10—21no—
572C2×Dic10C2×D411yescharacteristic
573C2×Dic10C2×D411yescharacteristic
574C2×Dic10C2×D411yescharacteristic
575C2×Dic10C2411yescharacteristic
576C5×SD16—22no—
577C5×SD16—22no—
578C5×D8—22no—
579C2×C5×C8C2411yescharacteristic
580C2×C5×C8C2411yescharacteristic
581C2×C5×C8C2411yescharacteristic
582C2×C5×C8C2411yescharacteristic
583C5×C4⋊C4—21no—
584C5×C4⋊C4—21no—
585C5×C4⋊C4—21no—
586C5×C4⋊C4—21no—
587C5×C4⋊C4—21no—
588C5×C4⋊C4—21no—
589C5×C4⋊C4—21no—
590C5×C4⋊C4C2×D411yescharacteristic
591C5×C4⋊C4C2×D411yescharacteristic
592C5×C4⋊C4C2×D411yescharacteristic
593C5×C4⋊C4C2411yescharacteristic
594C5×C4⋊C4C2411yescharacteristic
595C5×C4⋊C4C2411yescharacteristic
596C5×C4⋊C4C2411yescharacteristic
597C5×C22⋊C4—21no—
598C5×C22⋊C4—21no—
599C5×C22⋊C4—21no—
600C5×C22⋊C4—21no—
601C5×C22⋊C4—21no—
602C5×C22⋊C4—21no—
603C5×C22⋊C4—21no—
604C5×C22⋊C4—21no—
605C42×C5—21no—
606C42×C5—21no—
607C42×C5C2411yescharacteristic
608C42×C5C2411yescharacteristic
609C42×C5C2411yescharacteristic
610C22⋊Dic5—21no—
611C22⋊Dic5—21no—
612C22⋊Dic5—21no—
613C22⋊Dic5—21no—
614C22⋊Dic5—21no—
615C22⋊Dic5—21no—
616#688—22no—
617#688—22no—
618#687—22no—
619#686—22no—
620#686—22no—
621#686—22no—
622#685—21no—
623#685—21no—
624#685—21no—
625#685—21no—
626#685—21no—
627#685—21no—
628#685—21no—
629#685—21no—
630#685—21no—
631#685—21no—
632#685—21no—
633#685—21no—
634#685—21no—
635#685—21no—
636#685—21no—
637#685—21no—
638#685—21no—
639#685—21no—
640#685—21no—
641#685—21no—
642#685—21no—
643#685—21no—
644#685—21no—
645#685C2×D411yescharacteristic
646#685C2×D411yescharacteristic
647#685C2×D411yescharacteristic
648#685C2×D411yescharacteristic
649C4⋊Dic5—21no—
650C4⋊Dic5—21no—
651C4⋊Dic5—21no—
652C4⋊Dic5—21no—
653C4⋊Dic5—21no—
654C4⋊Dic5—21no—
655C4⋊Dic5—21no—
656C4⋊Dic5C2×D411yescharacteristic
657C4⋊Dic5C2×D411yescharacteristic
658C4⋊Dic5C2×D411yescharacteristic
659C4⋊Dic5C2411yescharacteristic
660C4⋊Dic5C2411yescharacteristic
661C4⋊Dic5C2411yescharacteristic
662C4⋊Dic5C2411yescharacteristic
663#683—21no—
664#683—21no—
665#683—21no—
666#683—21no—
667#683—21no—
668#683—21no—
669#683—21no—
670#683—21no—
671#683—21no—
672#683—21no—
673#683—21no—
674#683—21no—
675#683—21no—
676#683—21no—
677#683—21no—
678#683C2×D411yescharacteristic
679#683C2×D411yescharacteristic
680#683C2×D411yescharacteristic
681#683C2×D411yescharacteristic
682#683C2×D411yescharacteristic
683#683C2×D411yescharacteristic
684#683C2×D411yescharacteristic
685#683C2×D411yescharacteristic
686#683C2×D411yescharacteristic
687#683C2×D411yescharacteristic
688C4×Dic5—21no—
689C4×Dic5—21no—
690C4×Dic5—21no—
691C4×Dic5—21no—
692C4×Dic5—21no—
693C4×Dic5—21no—
694C4×Dic5—21no—
695C4×Dic5C2×D411yescharacteristic
696C4×Dic5C2×D411yescharacteristic
697C4×Dic5C2411yescharacteristic
698C4×Dic5C2411yescharacteristic
699C4×Dic5C2411yescharacteristic
700C2×#168C2411yescharacteristic
701C2×#168C2411yescharacteristic
702C2×#168C2411yescharacteristic
703C2×#168C2411yescharacteristic
704D40—22no—
705D40—22no—
706#677—22no—
707#676—22no—
708#676—22no—
709C8×D5—22no—
710C8×D5—22no—
711C2×AGL(1,ℤ/8)—51no—
712C22×SD16—51no—
713C22×D8—51no—
714#559—51no—
715#559—51no—
716#559—51no—
717#559—51no—
718#556—51no—
719#556—51no—
720#556—51no—
721#556C2×D511yescharacteristic, complemented
722#554—51no—
723#554—51no—
724#554—51no—
725#554—51no—
726#554—51no—
727#554—51no—
728#554—101no—
729#554—101no—
730#554—101no—
731#551—101no—
732#551—101no—
733#551—101no—
734#551—101no—
735D4×Q8—51no—
736D4×Q8—101no—
737D4×Q8C2×D511yescharacteristic, complemented
738#544—51no—
739#544—51no—
740#543—101no—
741#543—101no—
742#542—101no—
743#542—101no—
744#536—51no—
745#535—51no—
746#533—51no—
747#533—51no—
748#529—101no—
749#529—101no—
750C2×#124—51no—
751C2×C22⋊Q8—101no—
752C2×C22⋊Q8—101no—
753#519—51no—
754#518—51no—
755#518—51no—
756#518—51no—
757C4×#41—51no—
758C2×C4×D4—51no—
759#491—51no—
760#491—51no—
761#490—51no—
762#490—51no—
763#489—51no—
764#489—51no—
765#489—51no—
766#489—51no—
767#489—51no—
768#489—51no—
769#489C2×D511yescharacteristic, complemented
770#489C2×D511yescharacteristic, complemented
771#488—51no—
772#488—51no—
773#488—51no—
774#488—51no—
775#488—51no—
776#488—51no—
777#488—51no—
778#488—51no—
779#487—51no—
780#487C2×D511yescharacteristic, complemented
781#486—51no—
782#486—51no—
783#479—51no—
784#479—51no—
785#479—51no—
786#479—51no—
787#479—51no—
788#479—51no—
789#478—51no—
790#478—51no—
791#478—51no—
792#478—51no—
793#478—51no—
794#478—51no—
795#477—51no—
796#477C2×D511yescharacteristic, complemented
797#477C2×D511yescharacteristic, complemented
798#476—51no—
799#476—51no—
800#476—51no—
801#475—51no—
802#475—51no—
803#475—51no—
804#474—51no—
805#474—51no—
806#474C2×D511yescharacteristic, complemented
807#463—51no—
808#463—51no—
809#463—51no—
810#463—51no—
811#463—51no—
812#463—51no—
813#463—51no—
814#463—51no—
815#463—51no—
816#463—51no—
817#463—51no—
818#463—51no—
819#463—51no—
820#463—51no—
821#463C2×D511yescharacteristic
822#463C2×D511yescharacteristic
823#461—51no—
824#461—51no—
825#461—51no—
826#461C2×D511yescharacteristic, complemented
827#459—51no—
828#459—51no—
829#459—51no—
830#459—51no—
831#446—51no—
832#446—51no—
833#446—51no—
834#446—51no—
835#446—51no—
836#446C2×D511yescharacteristic, complemented
837C8×Q8—51no—
838C8×Q8—51no—
839#442—51no—
840#442—51no—
841#442—51no—
842#442—51no—
843#442—51no—
844#442—51no—
845#440—51no—
846#440—51no—
847#440—51no—
848#440—51no—
849#440C2×D511yescharacteristic, complemented
850#440C2×D511yescharacteristic, complemented
851C4×SD16—51no—
852C4×SD16—51no—
853C4×SD16—51no—
854C4×SD16—51no—
855C4×SD16—51no—
856C4×SD16—51no—
857C4×D8—51no—
858C4×D8—51no—
859C4×D8—51no—
860C4×D8—51no—
861C4×D8—51no—
862C4×D8C2×D511yescharacteristic
863#428—51no—
864#427—51no—
865#427—51no—
866#424—51no—
867#424—51no—
868C2×C4⋊C8—51no—
869#419—51no—
870#419—51no—
871#418—51no—
872#418—51no—
873#418—51no—
874#417—51no—
875#416—51no—
876#416—51no—
877C2×#103—51no—
878C2×#102—51no—
879#405—51no—
880#405—51no—
881C4×M16—51no—
882C23×C5—21no—
883C23×C5—21no—
884C22×D5—21no—
885C22×D5—24no—
886C22×D5—21no—
887C22×D5—21no—
888C22×D5—42no—
889C22×D5—81no—
890C22×D5—81no—
891C22×D5—81no—
892C22×D5—81no—
893C22×D5C22×D411yescharacteristic
894C5×Q8—21no—
895C5×Q8—21no—
896C5×Q8—21no—
897C5×Q8—21no—
898C5×Q8—41no—
899C5×Q8—42no—
900C5×Q8—81no—
901C5×Q8—81no—
902C5×D4—21no—
903C5×D4—21no—
904C5×D4—21no—
905C5×D4C2×#4112yes—
906C2×C4×C5—21no—
907C2×C4×C5—21no—
908C2×C4×C5—21no—
909C2×C4×C5—21no—
910C2×C4×C5—21no—
911C2×C4×C5—21no—
912C2×C4×C5—42no—
913C2×C4×C5—81no—
914C2×C4×C5—81no—
915C2×C4×C5—81no—
916C2×C4×C5C22×D411yescharacteristic
917C2×C4×C5C22×D411yescharacteristic
918C2×C4×C5C22×D411yescharacteristic
919C2×C4×C5C22×D411yescharacteristic
920C2×C4×C5C22×D411yescharacteristic
921C2×C4×C5C22×D411yescharacteristic
922C2×C4×C5C2511yescharacteristic
923C22⋊D5—24no—
924C22⋊D5—42no—
925C22⋊D5—81no—
926C22⋊D5—81no—
927C2×Dic5—21no—
928C2×Dic5—21no—
929C2×Dic5—21no—
930C2×Dic5—21no—
931C2×Dic5—21no—
932C2×Dic5—81no—
933C2×Dic5—81no—
934C2×Dic5—81no—
935C2×Dic5—81no—
936C2×Dic5C22×D411yescharacteristic
937C2×Dic5C22×D411yescharacteristic
938C2×Dic5C22×D411yescharacteristic
939C2×Dic5C22×D411yescharacteristic
940C2×Dic5C22×D411yescharacteristic
941C2×Dic5C22×D411yescharacteristic
942C2×Dic5C22×D411yescharacteristic
943D20—21no—
944D20—21no—
945D20—21no—
946D20—21no—
947D20—21no—
948D20—42no—
949D20—81no—
950D20—81no—
951D20C2×#4112yes—
952C4×D5—41no—
953C4×D5—41no—
954C4×D5—42no—
955C4×D5—42no—
956C4×D5—42no—
957C4×D5—81no—
958C4×D5—81no—
959C4×D5—81no—
960C4×D5—81no—
961C4×D5—81no—
962C4×D5—81no—
963C4×D5—81no—
964C4×D5—81no—
965C4×D5—81no—
966C4×D5—81no—
967C4×D5C2×#4112yes—
968C4×D52−1+412yes—
969Dic10—21no—
970Dic10—21no—
971Dic10—41no—
972Dic10—41no—
973Dic10—41no—
974Dic10—42no—
975Dic10—81no—
976Dic10—81no—
977Dic10—81no—
978C5×C8—21no—
979C5×C8—21no—
980C5×C8—21no—
981C5×C8—21no—
982#168—21no—
983#168—21no—
984#168—21no—
985#168—21no—
986C2×#41—51no—
987C22×Q8—21no—
988C22×Q8—51no—
989C22×Q8—101no—
990C22×D4—51no—
991C22×D4—51no—
992C23×C4—101no—
993AGL(1,ℤ/8)—104no—
994C2×SD16—51no—
995C2×SD16—51no—
996C2×SD16—51no—
997C2×SD16—51no—
998C2×SD16—104no—
999C2×SD16C22×D511yescharacteristic
1000C2×SD16C22×D511yescharacteristic
1001C2×D8—51no—
1002C2×D8—51no—
1003C2×D8—51no—
1004C2×D8—51no—
1005C2×D8—51no—
1006C2×D8—104no—
1007C2×D8C22×D511yescharacteristic
1008C2×M16—51no—
1009C2×M16—51no—
1010C22×C8—51no—
1011C22×C8—51no—
1012C4⋊Q8—51no—
1013C4⋊Q8—51no—
1014C4⋊Q8—51no—
1015C4⋊Q8—51no—
1016C4⋊Q8—51no—
1017C4⋊Q8—51no—
1018C4⋊Q8—101no—
1019C4⋊Q8—101no—
1020C4⋊Q8C22×D511yescharacteristic
1021C4⋊Q8C22×D511yescharacteristic
1022C4⋊Q8C22×D511yescharacteristic
1023C4⋊Q8C22×D511yescharacteristic
1024#127—51no—
1025#127—51no—
1026#126—21no—
1027#126—21no—
1028#126—101no—
1029#126—101no—
1030#126—101no—
1031#126—101no—
1032#126—101no—
1033#126—101no—
1034#125—51no—
1035#125—51no—
1036#125—51no—
1037#125—51no—
1038#125—51no—
1039#125—51no—
1040#125—51no—
1041#125—51no—
1042#125—101no—
1043#125—101no—
1044#124—51no—
1045#124—51no—
1046#124—51no—
1047#124—51no—
1048#124—51no—
1049#124—51no—
1050#124—101no—
1051#124—101no—
1052#124—101no—
1053#124—101no—
1054#124—101no—
1055#124—101no—
1056#124C22×D511yescharacteristic
1057#124C22×D511yescharacteristic
1058#123—101no—
1059#123—101no—
1060#123—101no—
1061#123—101no—
1062#123—101no—
1063#123—101no—
1064#123—101no—
1065#123—101no—
1066#123—101no—
1067#123—101no—
1068C22⋊Q8—21no—
1069C22⋊Q8—21no—
1070C22⋊Q8—21no—
1071C22⋊Q8—21no—
1072C22⋊Q8—51no—
1073C22⋊Q8—51no—
1074C22⋊Q8—51no—
1075C22⋊Q8—51no—
1076C22⋊Q8—101no—
1077C22⋊Q8—101no—
1078C22⋊Q8—101no—
1079C22⋊Q8—101no—
1080C22⋊Q8—101no—
1081C22⋊Q8—101no—
1082C22⋊Q8—101no—
1083C22⋊Q8—101no—
1084C22⋊Q8—101no—
1085C22⋊Q8—101no—
1086C22⋊Q8—101no—
1087C22⋊Q8—101no—
1088C22⋊Q8—101no—
1089C22⋊Q8—101no—
1090C22⋊Q8—101no—
1091C22⋊Q8—101no—
1092C22⋊Q8—101no—
1093C22⋊Q8—101no—
1094C22⋊Q8—101no—
1095C22⋊Q8—101no—
1096C22⋊Q8—101no—
1097C22⋊Q8—101no—
1098C22⋊Q8—101no—
1099C22⋊Q8—101no—
1100C22⋊Q8—101no—
1101C22⋊Q8—101no—
1102C22⋊Q8—101no—
1103C22⋊Q8—101no—
1104C22⋊Q8—101no—
1105C22⋊Q8—101no—
1106C22⋊Q8—101no—
1107C22⋊Q8—101no—
1108#121—101no—
1109#121—101no—
1110#120—101no—
1111#120—101no—
1112C4×Q8—51no—
1113C4×Q8—51no—
1114C4×Q8—51no—
1115C4×Q8—51no—
1116C4×Q8—51no—
1117C4×Q8—51no—
1118C4×Q8—51no—
1119C4×Q8—101no—
1120C4×Q8—101no—
1121C4×Q8—101no—
1122C4×Q8—101no—
1123C4×Q8C22×D511yescharacteristic
1124C4×Q8C22×D511yescharacteristic
1125C4×Q8C22×D511yescharacteristic
1126C4×D4—51no—
1127C4×D4—51no—
1128C4×D4—51no—
1129C4×D4—51no—
1130C4×D4—51no—
1131C4×D4—51no—
1132C4×D4—51no—
1133C4×D4—51no—
1134C4×D4—51no—
1135C4×D4—51no—
1136C4×D4—51no—
1137C4×D4—51no—
1138C4×D4—51no—
1139C4×D4—51no—
1140C4×D4—101no—
1141C4×D4—101no—
1142C4×D4—101no—
1143C4×D4—101no—
1144C4×D4—101no—
1145C4×D4—101no—
1146C4×D4—101no—
1147C4×D4—101no—
1148C4×D4—101no—
1149C4×D4—101no—
1150C4×D4—101no—
1151C4×D4—101no—
1152C4×D4—101no—
1153C4×D4—101no—
1154C4×D4C22×D511yescharacteristic
1155C4×D4C22×D511yescharacteristic
1156C4×D4C22×D511yescharacteristic
1157C4×D4C22×D511yescharacteristic
1158#117—21no—
1159#117—51no—
1160#117—51no—
1161#117—51no—
1162#117—51no—
1163#117—51no—
1164#117—101no—
1165#117—101no—
1166#117—101no—
1167#117—101no—
1168#117—101no—
1169#117—101no—
1170C2×C4⋊C4—51no—
1171C2×C4⋊C4—101no—
1172C2×C4⋊C4—101no—
1173C2×C4⋊C4—101no—
1174C2×C4⋊C4—101no—
1175C2×C4⋊C4—101no—
1176C2×C4⋊C4—101no—
1177C2×C22⋊C4—101no—
1178C2×C22⋊C4—101no—
1179C2×C22⋊C4—101no—
1180C2×C22⋊C4—101no—
1181C2×C22⋊C4—101no—
1182C2×C22⋊C4—101no—
1183C2×C22⋊C4—101no—
1184C2×C22⋊C4—101no—
1185C2×C22⋊C4—101no—
1186C2×C42—51no—
1187C2×C42—101no—
1188#107—51no—
1189#107—51no—
1190#107—51no—
1191#107C22×D511yescharacteristic
1192#107C22×D511yescharacteristic
1193#107C22×D511yescharacteristic
1194#106—51no—
1195#106—51no—
1196#106—51no—
1197#106—51no—
1198#106—51no—
1199#106—51no—
1200C4⋊C8—51no—
1201C4⋊C8—51no—
1202C4⋊C8—51no—
1203C4⋊C8—51no—
1204C4⋊C8—51no—
1205C4⋊C8—51no—
1206C4⋊C8—51no—
1207C4⋊C8—51no—
1208C4⋊C8—51no—
1209C4⋊C8C22×D511yescharacteristic
1210C4⋊C8C22×D511yescharacteristic
1211C4⋊C8C22×D511yescharacteristic
1212#103—51no—
1213#103—51no—
1214#103—51no—
1215#103—51no—
1216#103—51no—
1217#103—51no—
1218#103—51no—
1219#103—51no—
1220#103—51no—
1221#103—51no—
1222#103—51no—
1223#103—51no—
1224#103C22×D511yescharacteristic
1225#103C22×D511yescharacteristic
1226#103C22×D511yescharacteristic
1227#103C22×D511yescharacteristic
1228#103C22×D511yescharacteristic
1229#103C22×D511yescharacteristic
1230#102—51no—
1231#102—51no—
1232#102—51no—
1233#102—51no—
1234#102—51no—
1235#102—51no—
1236#102—51no—
1237#102—51no—
1238#102—51no—
1239#102—51no—
1240#102—51no—
1241#102—51no—
1242#102—51no—
1243#102—51no—
1244#102—51no—
1245#102—51no—
1246#102—51no—
1247#102—51no—
1248#102C22×D511yescharacteristic
1249#102C22×D511yescharacteristic
1250#102C22×D511yescharacteristic
1251#102C22×D511yescharacteristic
1252#97—51no—
1253#97—51no—
1254#97—51no—
1255#97—51no—
1256#97C22×D511yescharacteristic
1257#97C22×D511yescharacteristic
1258C4×C8—51no—
1259C4×C8—51no—
1260C4×C8—51no—
1261C4×C8—51no—
1262C4×C8—51no—
1263C4×C8C22×D511yescharacteristic
1264C22×C5—22no—
1265C22×C5—41no—
1266C22×C5—41no—
1267C22×C5—41no—
1268C22×C5—41no—
1269C22×C5—41no—
1270C22×C5C23×D411yescharacteristic
1271C2×D5—21no—
1272C2×D5—21no—
1273C2×D5—22no—
1274C2×D5—41no—
1275C2×D5—41no—
1276C2×D5—41no—
1277C2×D5—41no—
1278C2×D5—41no—
1279C2×D5—41no—
1280C2×D5—41no—
1281C2×D5—41no—
1282C2×D5—84no—
1283C2×D5—162no—
1284C2×D5#54812yes—
1285C4×C5—21no—
1286C4×C5—21no—
1287C4×C5—21no—
1288C4×C5—21no—
1289C4×C5—21no—
1290C4×C5—21no—
1291C4×C5—41no—
1292C4×C5—41no—
1293C4×C5—41no—
1294C4×C5—41no—
1295C4×C5—41no—
1296C4×C5—41no—
1297C4×C5C22×#4111yescharacteristic
1298C4×C5C2×2−1+411yescharacteristic
1299Dic5—21no—
1300Dic5—21no—
1301Dic5—21no—
1302Dic5—21no—
1303Dic5—21no—
1304Dic5—21no—
1305Dic5—41no—
1306Dic5—41no—
1307Dic5—41no—
1308Dic5—41no—
1309Dic5—41no—
1310Dic5#54812yes—
1311C24—101no—
1312C24—101no—
1313#41—102no—
1314#41—102no—
1315C2×Q8—21no—
1316C2×Q8—21no—
1317C2×Q8—21no—
1318C2×Q8—51no—
1319C2×Q8—51no—
1320C2×Q8—51no—
1321C2×Q8—51no—
1322C2×Q8—82no—
1323C2×Q8—101no—
1324C2×Q8—101no—
1325C2×Q8—101no—
1326C2×Q8—102no—
1327C2×Q8—102no—
1328C2×Q8—101no—
1329C2×Q8—402no—
1330C2×Q8D4×D511yescharacteristic
1331C2×Q8C23×D511yescharacteristic
1332C2×Q8C23×D511yescharacteristic
1333C2×D4—54no—
1334C2×D4—51no—
1335C2×D4—51no—
1336C2×D4—51no—
1337C2×D4—101no—
1338C2×D4—102no—
1339C2×D4—102no—
1340C2×D4—102no—
1341C2×D4—101no—
1342C2×D4—101no—
1343C2×D4—101no—
1344C2×D4—101no—
1345C2×D4—101no—
1346C2×D4—101no—
1347C2×D4C23×D511yescharacteristic
1348C2×D4C23×D511yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—51no—
1354C22×C4—51no—
1355C22×C4—51no—
1356C22×C4—101no—
1357C22×C4—101no—
1358C22×C4—101no—
1359C22×C4—101no—
1360C22×C4—101no—
1361C22×C4—101no—
1362C22×C4—101no—
1363C22×C4—101no—
1364C22×C4—101no—
1365C22×C4—101no—
1366C22×C4—101no—
1367C22×C4—101no—
1368C22×C4—101no—
1369C22×C4—101no—
1370C22×C4—101no—
1371C22×C4—101no—
1372C22×C4—101no—
1373C22×C4—402no—
1374SD16—22no—
1375SD16—22no—
1376SD16—102no—
1377SD16—102no—
1378SD16—102no—
1379SD16—102no—
1380D8—22no—
1381D8—102no—
1382D8—102no—
1383D8—102no—
1384D8—102no—
1385D8—102no—
1386M16—102no—
1387M16—102no—
1388C2×C8—51no—
1389C2×C8—51no—
1390C2×C8—51no—
1391C2×C8—51no—
1392C2×C8—102no—
1393C2×C8—102no—
1394C2×C8C23×D511yescharacteristic
1395C2×C8C23×D511yescharacteristic
1396C2×C8C23×D511yescharacteristic
1397C2×C8C23×D511yescharacteristic
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—51no—
1406C4⋊C4—51no—
1407C4⋊C4—51no—
1408C4⋊C4—51no—
1409C4⋊C4—51no—
1410C4⋊C4—51no—
1411C4⋊C4—51no—
1412C4⋊C4—51no—
1413C4⋊C4—51no—
1414C4⋊C4—51no—
1415C4⋊C4—51no—
1416C4⋊C4—51no—
1417C4⋊C4—51no—
1418C4⋊C4—51no—
1419C4⋊C4—51no—
1420C4⋊C4—51no—
1421C4⋊C4—51no—
1422C4⋊C4—101no—
1423C4⋊C4—101no—
1424C4⋊C4—101no—
1425C4⋊C4—101no—
1426C4⋊C4—101no—
1427C4⋊C4—101no—
1428C4⋊C4—101no—
1429C4⋊C4—101no—
1430C4⋊C4—101no—
1431C4⋊C4—101no—
1432C4⋊C4—101no—
1433C4⋊C4—101no—
1434C4⋊C4—101no—
1435C4⋊C4—101no—
1436C4⋊C4—101no—
1437C4⋊C4—101no—
1438C4⋊C4—101no—
1439C4⋊C4—101no—
1440C4⋊C4—101no—
1441C4⋊C4—101no—
1442C4⋊C4—101no—
1443C4⋊C4—101no—
1444C4⋊C4D4×D511yescharacteristic
1445C4⋊C4D4×D511yescharacteristic
1446C4⋊C4D4×D511yescharacteristic
1447C4⋊C4C23×D511yescharacteristic
1448C4⋊C4C23×D511yescharacteristic
1449C4⋊C4C23×D511yescharacteristic
1450C4⋊C4C23×D511yescharacteristic
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—51no—
1460C22⋊C4—51no—
1461C22⋊C4—51no—
1462C22⋊C4—51no—
1463C22⋊C4—101no—
1464C22⋊C4—101no—
1465C22⋊C4—101no—
1466C22⋊C4—101no—
1467C22⋊C4—101no—
1468C22⋊C4—101no—
1469C22⋊C4—101no—
1470C22⋊C4—101no—
1471C22⋊C4—101no—
1472C22⋊C4—101no—
1473C22⋊C4—101no—
1474C22⋊C4—101no—
1475C22⋊C4—101no—
1476C22⋊C4—101no—
1477C22⋊C4—101no—
1478C22⋊C4—101no—
1479C22⋊C4—101no—
1480C22⋊C4—101no—
1481C22⋊C4—101no—
1482C22⋊C4—101no—
1483C22⋊C4—101no—
1484C22⋊C4—101no—
1485C22⋊C4—101no—
1486C22⋊C4—101no—
1487C22⋊C4—101no—
1488C22⋊C4—101no—
1489C22⋊C4—101no—
1490C22⋊C4—101no—
1491C22⋊C4—101no—
1492C42—21no—
1493C42—21no—
1494C42—51no—
1495C42—51no—
1496C42—51no—
1497C42—51no—
1498C42—51no—
1499C42—101no—
1500C42—101no—
1501C42—101no—
1502C42—101no—
1503C42—101no—
1504C42—101no—
1505C42—101no—
1506C42C23×D511yescharacteristic
1507C42C23×D511yescharacteristic
1508C42C23×D511yescharacteristic
1509C2×C5—42no—
1510C2×C5—81no—
1511C2×C5C2×#54811yescharacteristic
1512C2×C5#358411yescharacteristic
1513C2×C5#358511yescharacteristic
1514D5—22no—
1515D5—42no—
1516D5—81no—
1517D5—81no—
1518C23—21no—
1519C23—21no—
1520C23—51no—
1521C23—104no—
1522C23—101no—
1523C23—101no—
1524C23—101no—
1525C23—202no—
1526C23—401no—
1527C23—401no—
1528C23—401no—
1529C23—401no—
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—41no—
1535Q8—42no—
1536Q8—81no—
1537Q8—81no—
1538Q8—101no—
1539Q8—101no—
1540Q8—201no—
1541Q8—201no—
1542Q8—201no—
1543Q8—202no—
1544Q8—401no—
1545Q8—401no—
1546Q8—401no—
1547D4—21no—
1548D4—21no—
1549D4—21no—
1550D4—52no—
1551D4—104no—
1552D4—101no—
1553D4—101no—
1554D4—101no—
1555D4—101no—
1556D4—101no—
1557D4—202no—
1558D4—202no—
1559D4—401no—
1560D4—401no—
1561D4—401no—
1562D4—401no—
1563D4D5×#4112yes—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—42no—
1571C2×C4—51no—
1572C2×C4—52no—
1573C2×C4—52no—
1574C2×C4—51no—
1575C2×C4—51no—
1576C2×C4—51no—
1577C2×C4—51no—
1578C2×C4—51no—
1579C2×C4—51no—
1580C2×C4—81no—
1581C2×C4—81no—
1582C2×C4—81no—
1583C2×C4—101no—
1584C2×C4—101no—
1585C2×C4—101no—
1586C2×C4—101no—
1587C2×C4—101no—
1588C2×C4—201no—
1589C2×C4—201no—
1590C2×C4—202no—
1591C2×C4—202no—
1592C2×C4—202no—
1593C2×C4—401no—
1594C2×C4—401no—
1595C2×C4—401no—
1596C2×C4—401no—
1597C2×C4—401no—
1598C2×C4—401no—
1599C2×C4—401no—
1600C2×C4—401no—
1601C2×C4—401no—
1602C2×C4—401no—
1603C2×C4—401no—
1604C2×C4—401no—
1605C2×C4—401no—
1606C2×C4—401no—
1607C2×C4C2×D4×D511yescharacteristic
1608C2×C4C2×D4×D511yescharacteristic
1609C2×C4C2×D4×D511yescharacteristic
1610C2×C4C2×D4×D511yescharacteristic
1611C2×C4C2×D4×D511yescharacteristic
1612C2×C4C2×D4×D511yescharacteristic
1613C2×C4C24×D511yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—101no—
1619C8—101no—
1620C8—101no—
1621C8—101no—
1622C5#6134311yescharacteristic, complemented, Sylow
1623C22—22no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—52no—
1630C22—101no—
1631C22—101no—
1632C22—102no—
1633C22—201no—
1634C22—201no—
1635C22—201no—
1636C22—201no—
1637C22—201no—
1638C22—201no—
1639C22—201no—
1640C22—201no—
1641C22—404no—
1642C22—802no—
1643C22C22×D4×D511yescharacteristic
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—52no—
1657C4—101no—
1658C4—101no—
1659C4—101no—
1660C4—101no—
1661C4—101no—
1662C4—101no—
1663C4—201no—
1664C4—201no—
1665C4—201no—
1666C4—201no—
1667C4—201no—
1668C4C2×D5×#4111yescharacteristic
1669C4D5×2−1+411yescharacteristic
1670C2—42no—
1671C2—81no—
1672C2—102no—
1673C2—202no—
1674C2—401no—
1675C2—401no—
1676C2D5×#54811yescharacteristic
1677C2#1061909311yescharacteristic
1678C2#1061911111yescharacteristic
subgroupG/H
centerC22C22×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC5×#3367C2
socleC22×C5C23×D4
prime radical#10612267C2
hypercenter#3367D5
hypocenterC5#61343
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3367

Complements

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

NH ≅ G/Ntype
1. #10618885C2semidirect
2. #10618662C2semidirect
3. C5×#3367C2semidirect
4. #10615400C2semidirect
5. #10615300C2semidirect
6. #10613413C2semidirect
7. #10613411C2semidirect
8. #10613407C2semidirect
9. #10613405C2semidirect
10. #10613352C2semidirect
11. #10613330C2semidirect
12. #10612865C2semidirect
13. #10612841C2semidirect
14. #10612838C2semidirect
15. #10612831C2semidirect
16. #10612698C2semidirect
17. #10612686C2semidirect
19. D5×#463C2semidirect
20. #10612251C2semidirect
21. #10612247C2semidirect
22. #10612161C2semidirect
23. #10612150C2semidirect
24. #10611702C2semidirect
25. #10611692C2semidirect
26. #10611508C2semidirect
27. #10611504C2semidirect
28. #10611488C2semidirect
29. #10611484C2semidirect
30. #10611319C2semidirect
31. #10611300C2semidirect
32. C5×#556C22semidirect
33. C5×D4×Q8C22semidirect
39. #66066C22semidirect
40. #66064C22semidirect
41. #66064C22semidirect
45. #66061C22semidirect
51. #66015C22semidirect
54. #66005C22semidirect
63. #65919C22semidirect
64. #65919C22semidirect
65. #65913C22semidirect
69. #65902C22semidirect
70. #65893C22semidirect
75. #65877C22semidirect
76. #65873C22semidirect
77. #65873C22semidirect
80. C5×#489C22semidirect
81. C5×#489C22semidirect
82. C5×#487C22semidirect
83. C5×#477C22semidirect
84. C5×#477C22semidirect
85. C5×#474C22semidirect
88. C5×#461C22semidirect
89. C5×#446C22semidirect
90. C5×#440C22semidirect
91. C5×#440C22semidirect
95. #65454C22semidirect
96. #65453C22semidirect
97. #65451C22semidirect
98. SD16×Dic5C22semidirect
102. #65383C22semidirect
103. #65378C22semidirect
104. #65378C22semidirect
105. #65377C22semidirect
106. #65373C22semidirect
107. #65373C22semidirect
108. #65372C22semidirect
109. #65371C22semidirect
112. #65345C22semidirect
113. #65344C22semidirect
114. #65315C22semidirect
115. C4×#688C22semidirect
116. #65313C22semidirect
117. #65311C22semidirect
118. #65309C22semidirect
119. C4×#687C22semidirect
121. #65305C22semidirect
125. #65303C22semidirect
126. #65298C22semidirect
127. #65180C22semidirect
128. #65180C22semidirect
129. #65180C22semidirect
130. #65179C22semidirect
131. #65178C22semidirect
135. #65166C22semidirect
136. #65164C22semidirect
138. #65161C22semidirect
139. #65136C22semidirect
140. #65135C22semidirect
142. #65133C22semidirect
147. #65119C22semidirect
148. #65118C22semidirect
149. #65117C22semidirect
150. #65117C22semidirect
153. #65108C22semidirect
154. #65107C22semidirect
161. #65089C22semidirect
162. #65089C22semidirect
163. #65089C22semidirect
164. #65089C22semidirect
165. #65086C22semidirect
166. #65085C22semidirect
167. #65085C22semidirect
168. #65085C22semidirect
169. #65084C22semidirect
170. #65084C22semidirect
171. #65081C22semidirect
172. #65080C22semidirect
173. #65077C22semidirect
174. #65077C22semidirect
183. #65057C22semidirect
184. #65057C22semidirect
185. #65055C22semidirect
186. #65053C22semidirect
187. #65050C22semidirect
188. #65049C22semidirect
189. #65047C22semidirect
190. #65045C22semidirect
191. #65003C22semidirect
192. #65002C22semidirect
193. #65000C22semidirect
194. #64999C22semidirect
197. #64990C22semidirect
198. #64990C22semidirect
199. #64986C22semidirect
202. C8×Dic10C22semidirect
495. #3367D5semidirect
721. #556C2×D5semidirect
737. D4×Q8C2×D5semidirect
769. #489C2×D5semidirect
770. #489C2×D5semidirect
780. #487C2×D5semidirect
796. #477C2×D5semidirect
797. #477C2×D5semidirect
806. #474C2×D5semidirect
826. #461C2×D5semidirect
836. #446C2×D5semidirect
849. #440C2×D5semidirect
850. #440C2×D5semidirect
1622. C5#61343semidirect

Maximal subgroups

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

subgroupindex
#106188852
#106186622
C5×#33672
#106154002
#106153002
#106134132
#106134112
#106134072
#106134052
#106133522
#106133302
#106128652
#106128412
#106128382
#106128312
#106126982
#106126862
#106122672
D5×#4632
#106122512
#106122472
#106121612
#106121502
#106117022
#106116922
#106115082
#106115042
#106114882
#106114842
#106113192
#106113002
#613435