Finite Group Databasebeta

← #12979484

Subgroups — #12979484

Order 1280.

1912 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10618850C211yesmaximal, characteristic, complemented
2#10618672C211yesmaximal, characteristic, complemented
3C5×#3366C211yesmaximal, characteristic, complemented
4#10615370C211yesmaximal, characteristic, complemented
5#10615312C211yesmaximal, characteristic, complemented
6#10613446C211yesmaximal, characteristic, complemented
7#10613445C211yesmaximal, characteristic, complemented
8#10613441C211yesmaximal, characteristic, complemented
9#10613439C211yesmaximal, characteristic, complemented
10#10613315C211yesmaximal, characteristic, complemented
11#10613294C211yesmaximal, characteristic, complemented
12#10612900C211yesmaximal, characteristic, complemented
13#10612896C211yesmaximal, characteristic, complemented
14#10612883C211yesmaximal, characteristic, complemented
15#10612881C211yesmaximal, characteristic, complemented
16#10612793C211yesmaximal, characteristic, complemented
17#10612783C211yesmaximal, characteristic, complemented
18#10612065C211yesmaximal, characteristic, complemented
19#10612065C211yesmaximal, characteristic, complemented
20D5×#459C211yesmaximal, characteristic, complemented
21#10612053C211yesmaximal, characteristic, complemented
22#10612052C211yesmaximal, characteristic, complemented
23#10612049C211yesmaximal, characteristic, complemented
24#10611702C211yesmaximal, characteristic, complemented
25#10611692C211yesmaximal, characteristic, complemented
26#10611598C211yesmaximal, characteristic, complemented
27#10611596C211yesmaximal, characteristic, complemented
28#10611584C211yesmaximal, characteristic, complemented
29#10611582C211yesmaximal, characteristic, complemented
30#10611319C211yesmaximal, characteristic, complemented
31#10611300C211yesmaximal, characteristic, complemented
32C5×#554C2211yescharacteristic, complemented
33C5×#550C2211yescharacteristic, complemented
34#66166—21no—
35#66163—21no—
36C2×#4057C2211yescharacteristic
37C2×D5×D8C2211yescharacteristic
38C2×D5×D8C2211yescharacteristic
39#66063C2211yescharacteristic
40#66061C2211yescharacteristic, complemented
41#66052C2211yescharacteristic, complemented
42#66052C2211yescharacteristic, complemented
43#66049C2211yescharacteristic
44#66049C2211yescharacteristic
45D5×#127C2211yescharacteristic
46#66047C2211yescharacteristic, complemented
47#66024C2211yescharacteristic, complemented
48#66024C2211yescharacteristic, complemented
49#66023C2211yescharacteristic
50#66022C2211yescharacteristic
51#65970—21no—
52#65970—21no—
53#65968—21no—
54#65968—21no—
55#65966—21no—
56D5×C22⋊Q8—21no—
57#65949—21no—
58#65949—21no—
59#65946—21no—
60#65944—21no—
61#65944—21no—
62#65930—21no—
63#65919C2211yescharacteristic, complemented
64#65913C2211yescharacteristic, complemented
65#65912C2211yescharacteristic
66#65893C2211yescharacteristic, complemented
67#65893C2211yescharacteristic, complemented
68#65887C2211yescharacteristic, complemented
69#65879C2211yescharacteristic
70#65879C2211yescharacteristic
71#65879C2211yescharacteristic
72#65879C2211yescharacteristic
73C4×D4×D5C2211yescharacteristic
74#65873C2211yescharacteristic, complemented
75#65873C2211yescharacteristic, complemented
76D4×Dic10C2211yescharacteristic, complemented
77C4×#711C2211yescharacteristic
78#65845—21no—
79C2×#4042—21no—
80C5×#490C2211yescharacteristic, complemented
81C5×#490C2211yescharacteristic, complemented
82C5×#486C2211yescharacteristic, complemented
83C5×#478C2211yescharacteristic, complemented
84C5×#478C2211yescharacteristic, complemented
85C5×#476C2211yescharacteristic, complemented
86C5×#459C2211yescharacteristic
87C5×#459C2211yescharacteristic, complemented
88C5×#459C2211yescharacteristic, complemented
89C5×#446C2211yescharacteristic, complemented
90C5×#442C2211yescharacteristic, complemented
91C5×#442C2211yescharacteristic, complemented
92C4×C5×D8C2211yescharacteristic, complemented
93#65442C2211yescharacteristic, complemented
94#65442C2211yescharacteristic, complemented
95#65441C2211yescharacteristic, complemented
96#65439C2211yescharacteristic
97#65439C2211yescharacteristic
98#65439C2211yescharacteristic, complemented
99#65439C2211yescharacteristic, complemented
100D8×Dic5C2211yescharacteristic, complemented
101D8×Dic5C2211yescharacteristic, complemented
102#65378C2211yescharacteristic, complemented
103#65376C2211yescharacteristic, complemented
104#65361C2211yescharacteristic
105#65361C2211yescharacteristic, complemented
106#65361C2211yescharacteristic, complemented
107#65360C2211yescharacteristic, complemented
108#65360C2211yescharacteristic, complemented
109#65359C2211yescharacteristic, complemented
110#65357C2211yescharacteristic, complemented
111#65356C2211yescharacteristic, complemented
112#65355C2211yescharacteristic, complemented
113#65352C2211yescharacteristic, complemented
114#65313C2211yescharacteristic, complemented
115#65307C2211yescharacteristic, complemented
116#65305C2211yescharacteristic, complemented
117#65305C2211yescharacteristic, complemented
118#65304C2211yescharacteristic
119#65303C2211yescharacteristic, complemented
120#65303C2211yescharacteristic, complemented
121#65303C2211yescharacteristic, complemented
122C4×#686C2211yescharacteristic, complemented
123C4×#686C2211yescharacteristic, complemented
124#65298C2211yescharacteristic, complemented
125#65298C2211yescharacteristic, complemented
126#65297C2211yescharacteristic, complemented
127#65180C2211yescharacteristic, complemented
128#65169C2211yescharacteristic
129#65164C2211yescharacteristic, complemented
130#65161C2211yescharacteristic, complemented
131#65160C2211yescharacteristic, complemented
132#65159C2211yescharacteristic, complemented
133#65159C2211yescharacteristic, complemented
134#65158C2211yescharacteristic, complemented
135#65150C2211yescharacteristic
136#65149C2211yescharacteristic
137#65143C2211yescharacteristic, complemented
138#65141C2211yescharacteristic, complemented
139#65136C2211yescharacteristic, complemented
140#65135C2211yescharacteristic, complemented
141#65133C2211yescharacteristic, complemented
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#65076C2211yescharacteristic, complemented
152#65076C2211yescharacteristic, complemented
153#65075C2211yescharacteristic
154#65075C2211yescharacteristic
155#65075C2211yescharacteristic, complemented
156#65075C2211yescharacteristic, complemented
157#65074C2211yescharacteristic, complemented
158#65074C2211yescharacteristic, complemented
159#65061C2211yescharacteristic
160#65061C2211yescharacteristic
161#65060C2211yescharacteristic
162#65059C2211yescharacteristic
163#65059C2211yescharacteristic
164#65059C2211yescharacteristic
165#65059C2211yescharacteristic
166#65059C2211yescharacteristic
167D5×#102C2211yescharacteristic
168D5×#102C2211yescharacteristic
169#65057C2211yescharacteristic, complemented
170#65057C2211yescharacteristic, complemented
171#65055C2211yescharacteristic, complemented
172#65054C2211yescharacteristic, complemented
173#65054C2211yescharacteristic, complemented
174#65053C2211yescharacteristic, complemented
175#65053C2211yescharacteristic, complemented
176#65052C2211yescharacteristic, complemented
177#65050C2211yescharacteristic, complemented
178#65049C2211yescharacteristic, complemented
179#65049C2211yescharacteristic, complemented
180#65049C2211yescharacteristic, complemented
181#65049C2211yescharacteristic, complemented
182#65049C2211yescharacteristic, complemented
183#65049C2211yescharacteristic, complemented
184#65048C2211yescharacteristic, complemented
185#65048C2211yescharacteristic, complemented
186#65048C2211yescharacteristic, complemented
187#65047C2211yescharacteristic, complemented
188#65045C2211yescharacteristic, complemented
189#65045C2211yescharacteristic, 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, complemented
201#64978C2211yescharacteristic
202C8×Dic10C2211yescharacteristic, complemented
203#61339—51nomaximal, Sylow
204C2×C5×#41—21no—
205C2×Q8×D5—21no—
206C2×#711—21no—
207C2×#711—21no—
208C2×#711C2311yescharacteristic
209C2×D4×D5—21no—
210C2×D4×D5—21no—
211C2×D4×D5C2311yescharacteristic
212C2×D4×D5C2311yescharacteristic
213C2×D4×D5C2311yescharacteristic
214C2×#709—21no—
215C22×C4×D5—21no—
216C22×Dic10—21no—
217C2×C5×D8C2311yescharacteristic
218C2×C5×D8C2311yescharacteristic
219C2×C5×D8C2311yescharacteristic
220C5×C4⋊Q8C2311yescharacteristic
221C5×#127C2311yescharacteristic
222C5×#127C2311yescharacteristic
223C5×#127C2311yescharacteristic
224C5×#125C2311yescharacteristic
225C5×#125C2311yescharacteristic
226C5×C22⋊Q8—21no—
227C5×C22⋊Q8—21no—
228C5×C22⋊Q8—21no—
229C5×#121—21no—
230C5×#121—21no—
231C5×#121—21no—
232C4×C5×Q8C2311yescharacteristic
233C4×C5×D4C2311yescharacteristic
234C4×C5×D4C2311yescharacteristic
235C4×C5×D4C2311yescharacteristic
236C4×C5×D4C2311yescharacteristic
237C4×C5×D4C2311yescharacteristic
238C4×C5×D4C2311yescharacteristic
239C2×C5×C4⋊C4—21no—
240#4093—21no—
241#4092—21no—
242#4092—21no—
243#4092—21no—
244#4092D411yescharacteristic
245#4090—21no—
246#4090D411yescharacteristic
247#4086—21no—
248#4086—21no—
249#4086C2311yescharacteristic
250#4086C2311yescharacteristic
251#4086C2311yescharacteristic
252#4086C2311yescharacteristic
253#4085—21no—
254#4085—21no—
255#4085—21no—
256#4085—21no—
257#4085—21no—
258#4085—21no—
259#4085—21no—
260#4085—21no—
261#4084—21no—
262#4084—21no—
263#4083—21no—
264#4083—21no—
265#4083—21no—
266#4083—21no—
267#4082—21no—
268#4082C2311yescharacteristic
269#4082C2311yescharacteristic
270#4081—21no—
271#4081—21no—
272D4×Dic5—21no—
273D4×Dic5C2311yescharacteristic
274D4×Dic5C2311yescharacteristic
275D4×Dic5C2311yescharacteristic
276D4×Dic5C2311yescharacteristic
277D4×Dic5C2311yescharacteristic
278D4×Dic5C2311yescharacteristic
279C2×#687C2311yescharacteristic
280C2×#686C2311yescharacteristic
281C2×#686C2311yescharacteristic
282C2×#686C2311yescharacteristic
283C2×#686C2311yescharacteristic
284C2×#686C2311yescharacteristic
285#4076—21no—
286#4075—21no—
287#4075—21no—
288C4×C22⋊D5—21no—
289C4×C22⋊D5—21no—
290C4×C22⋊D5—21no—
291C4×C22⋊D5—21no—
292C4×C22⋊D5—21no—
293C4×C22⋊D5—21no—
294C4×C22⋊D5—21no—
295C4×C22⋊D5—21no—
296C2×#685—21no—
297C2×#685—21no—
298C2×#685—21no—
299C2×#685—21no—
300#4070—21no—
301#4070—21no—
302#4070—21no—
303C2×#683—21no—
304C2×#683—21no—
305C2×C4×Dic5—21no—
306#4057—24no—
307D5×D8—24no—
308D5×D8—24no—
309C2×D40C2311yescharacteristic
310C2×D40C2311yescharacteristic
311C2×#677C2311yescharacteristic
312C2×#676C2311yescharacteristic
313C2×#676C2311yescharacteristic
314C2×C8×D5C2311yescharacteristic
315C2×C8×D5C2311yescharacteristic
316#4043—21no—
317#4043—21no—
318#4043—21no—
319#4043D411yescharacteristic
320#4042—21no—
321#4042—21no—
322#4042—21no—
323#4042—21no—
324#4042—21no—
325#4042—21no—
326#4042—21no—
327#4042—21no—
328#4042—21no—
329#4042—21no—
330#4042—21no—
331#4042—21no—
332#4042D411yescharacteristic
333#4042D411yescharacteristic
334#4040—21no—
335#4040—21no—
336#4039—21no—
337#4039C2311yescharacteristic
338#4039C2311yescharacteristic
339#4039C2311yescharacteristic
340#4039C2311yescharacteristic
341#4039C2311yescharacteristic
342#4038C2311yescharacteristic
343#4038C2311yescharacteristic
344#4038C2311yescharacteristic
345D5×C4⋊C4—21no—
346D5×C4⋊C4—21no—
347D5×C4⋊C4—21no—
348D5×C4⋊C4C2311yescharacteristic
349#4036C2311yescharacteristic
350#4036C2311yescharacteristic
351#4035—21no—
352#4035—21no—
353#4035D411yescharacteristic
354#4035D411yescharacteristic
355#4034—21no—
356#4034D411yescharacteristic
357#4034C2311yescharacteristic
358#4034C2311yescharacteristic
359#4034C2311yescharacteristic
360#4034C2311yescharacteristic
361#4033—21no—
362#4033—21no—
363#4033C2311yescharacteristic
364#4031—21no—
365#4031—21no—
366#4030—21no—
367#4030—21no—
368#4029—21no—
369#4029—21no—
370#4027—21no—
371#4027—21no—
372#4027—21no—
373#4027—21no—
374#4027—21no—
375#4027—21no—
376D5×C22⋊C4—21no—
377D5×C22⋊C4—21no—
378D5×C22⋊C4—21no—
379D5×C22⋊C4—21no—
380D5×C22⋊C4—21no—
381#4024—21no—
382#4024—21no—
383#4024—21no—
384#4024—21no—
385#4024—21no—
386#4024—21no—
387#4023—21no—
388#4021C2311yescharacteristic
389#4021C2311yescharacteristic
390#4020C2311yescharacteristic
391C4×D20C2311yescharacteristic
392C4×D20C2311yescharacteristic
393C4×D20C2311yescharacteristic
394C4×D20C2311yescharacteristic
395C4×D20C2311yescharacteristic
396#4018C2311yescharacteristic
397#4018C2311yescharacteristic
398C42×D5C2311yescharacteristic
399#4016C2311yescharacteristic
400#4016C2311yescharacteristic
401#4015C2311yescharacteristic
402C4×Dic10C2311yescharacteristic
403C4×Dic10C2311yescharacteristic
404C4×Dic10C2311yescharacteristic
405C4×Dic10C2311yescharacteristic
406C5×#107C2311yescharacteristic
407C5×#106C2311yescharacteristic
408C5×#106C2311yescharacteristic
409C5×C4⋊C8C2311yescharacteristic
410C5×C4⋊C8C2311yescharacteristic
411C5×C4⋊C8C2311yescharacteristic
412C5×#102C2311yescharacteristic
413C5×#102C2311yescharacteristic
414C5×#102C2311yescharacteristic
415C5×#102C2311yescharacteristic
416C5×#102C2311yescharacteristic
417C5×#102C2311yescharacteristic
418C5×#102C2311yescharacteristic
419C5×#102C2311yescharacteristic
420C5×#102C2311yescharacteristic
421C5×#102C2311yescharacteristic
422C5×#97C2311yescharacteristic
423C5×#97C2311yescharacteristic
424C4×C5×C8C2311yescharacteristic
425#3964C2311yescharacteristic
426#3964C2311yescharacteristic
427#3964C2311yescharacteristic
428#3964C2311yescharacteristic
429#3964C2311yescharacteristic
430#3964C2311yescharacteristic
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#3939C2311yescharacteristic
474#3939C2311yescharacteristic
475#3939C2311yescharacteristic
476C4⋊#168C2311yescharacteristic
477C4⋊#168C2311yescharacteristic
478C4⋊#168C2311yescharacteristic
479#3935C2311yescharacteristic
480#3935C2311yescharacteristic
481C4×#168C2311yescharacteristic
482#3508—51no—
483#3501—51no—
484#3373—51no—
485#3373—51no—
486#3370—51no—
487#3370—51no—
488#3370—51no—
489#3370—51no—
490#3366—51no—
491#3366—51no—
492#3366—51no—
493#3366—51no—
494#3366—51no—
495#3366D511yescharacteristic, complemented
496#3361—51no—
497#3361—51no—
498#3358—51no—
499#3358—51no—
500#3138—51no—
501#3136—51no—
502#3136—51no—
503#3081—51no—
504#3081—51no—
505#3076—51no—
506#3041—51no—
507#3041—51no—
508C2×#459—51no—
509#2962—51no—
510#2948—51no—
511#2948—51no—
512C4×AGL(1,ℤ/8)—51no—
513C23×D5—21no—
514C23×D5—21no—
515C23×D5—21no—
516C5×#41—82no—
517C2×C5×Q8—21no—
518C2×C5×Q8C2×D411yescharacteristic
519C2×C5×D4—21no—
520C2×C5×D4—21no—
521C2×C5×D4—21no—
522C2×C5×D4—21no—
523C2×C5×D4—21no—
524C2×C5×D4—21no—
525C2×C5×D4C2411yescharacteristic
526C2×C5×D4C2411yescharacteristic
527C2×C5×D4C2411yescharacteristic
528C2×C5×D4C2411yescharacteristic
529C22×C4×C5—21no—
530C22×C4×C5—21no—
531C22×C4×C5—21no—
532C22×C4×C5—21no—
533C22×C4×C5—21no—
534C22×C4×C5—21no—
535C2×C22⋊D5—21no—
536C2×C22⋊D5—21no—
537C2×C22⋊D5—21no—
538C2×C22⋊D5—21no—
539C2×C22⋊D5—21no—
540C2×C22⋊D5—21no—
541C2×C22⋊D5—21no—
542C2×C22⋊D5—21no—
543C2×C22⋊D5—21no—
544C2×C22⋊D5—21no—
545C2×C22⋊D5—21no—
546C2×C22⋊D5—21no—
547C22×Dic5—21no—
548C22×Dic5—21no—
549C22×Dic5—21no—
550C22×Dic5—21no—
551C22×Dic5—21no—
552C22×Dic5—21no—
553C22×Dic5—21no—
554Q8×D5—82no—
555#711—22no—
556#711—22no—
557#711—82no—
558#711—82no—
559D4×D5—22no—
560D4×D5—22no—
561D4×D5—22no—
562D4×D5—22no—
563D4×D5—22no—
564D4×D5—82no—
565D4×D5—82no—
566D4×D5#4114yescomplemented
567#709—82no—
568C2×D20—21no—
569C2×D20—21no—
570C2×D20C2411yescharacteristic
571C2×D20C2411yescharacteristic
572C2×D20C2411yescharacteristic
573C2×C4×D5—21no—
574C2×C4×D5—21no—
575C2×C4×D5—21no—
576C2×C4×D5—21no—
577C2×C4×D5—21no—
578C2×C4×D5—21no—
579C2×C4×D5—21no—
580C2×C4×D5—21no—
581C2×C4×D5—21no—
582C2×C4×D5—21no—
583C2×C4×D5—21no—
584C2×C4×D5—82no—
585C2×C4×D5C2×D411yescharacteristic
586C2×C4×D5C2×D411yescharacteristic
587C2×C4×D5C2411yescharacteristic
588C2×Dic10—21no—
589C2×Dic10—21no—
590C2×Dic10—21no—
591C2×Dic10—21no—
592C2×Dic10—21no—
593C2×Dic10—82no—
594C2×Dic10C2×D411yescharacteristic
595C2×Dic10C2×D411yescharacteristic
596C2×Dic10C2×D411yescharacteristic
597C2×Dic10C2411yescharacteristic
598C5×D8—22no—
599C5×D8—22no—
600C5×D8—22no—
601C2×C5×C8C2411yescharacteristic
602C2×C5×C8C2411yescharacteristic
603C2×C5×C8C2411yescharacteristic
604C2×C5×C8C2411yescharacteristic
605C5×C4⋊C4—21no—
606C5×C4⋊C4—21no—
607C5×C4⋊C4—21no—
608C5×C4⋊C4—21no—
609C5×C4⋊C4—21no—
610C5×C4⋊C4C2×D411yescharacteristic
611C5×C4⋊C4C2×D411yescharacteristic
612C5×C4⋊C4C2×D411yescharacteristic
613C5×C4⋊C4C2411yescharacteristic
614C5×C4⋊C4C2411yescharacteristic
615C5×C4⋊C4C2411yescharacteristic
616C5×C4⋊C4C2411yescharacteristic
617C5×C22⋊C4—21no—
618C5×C22⋊C4—21no—
619C5×C22⋊C4—21no—
620C5×C22⋊C4—21no—
621C5×C22⋊C4—21no—
622C5×C22⋊C4—21no—
623C42×C5C2411yescharacteristic
624C42×C5C2411yescharacteristic
625C42×C5C2411yescharacteristic
626C22⋊Dic5—21no—
627C22⋊Dic5—21no—
628C22⋊Dic5—21no—
629C22⋊Dic5—21no—
630C22⋊Dic5—21no—
631C22⋊Dic5—21no—
632C22⋊Dic5—21no—
633C22⋊Dic5—21no—
634C22⋊Dic5—21no—
635C22⋊Dic5—21no—
636#687—22no—
637#686—22no—
638#686—22no—
639#686—22no—
640#686—22no—
641#686—22no—
642#685—21no—
643#685—21no—
644#685—21no—
645#685—21no—
646#685—21no—
647#685—21no—
648#685—21no—
649#685—21no—
650#685—21no—
651#685—21no—
652#685—21no—
653#685—21no—
654#685—21no—
655#685—21no—
656#685—21no—
657#685—21no—
658#685—21no—
659#685C2×D411yescharacteristic
660#685C2×D411yescharacteristic
661#685C2×D411yescharacteristic
662#685C2×D411yescharacteristic
663C4⋊Dic5—21no—
664C4⋊Dic5—21no—
665C4⋊Dic5—21no—
666C4⋊Dic5C2×D411yescharacteristic
667C4⋊Dic5C2×D411yescharacteristic
668C4⋊Dic5C2×D411yescharacteristic
669C4⋊Dic5C2411yescharacteristic
670C4⋊Dic5C2411yescharacteristic
671C4⋊Dic5C2411yescharacteristic
672C4⋊Dic5C2411yescharacteristic
673#683—21no—
674#683—21no—
675#683—21no—
676#683—21no—
677#683—21no—
678#683—21no—
679#683—21no—
680#683—21no—
681#683—21no—
682#683—21no—
683#683—21no—
684#683—21no—
685#683—21no—
686#683C2×D411yescharacteristic
687#683C2×D411yescharacteristic
688#683C2×D411yescharacteristic
689#683C2×D411yescharacteristic
690#683C2×D411yescharacteristic
691#683C2×D411yescharacteristic
692#683C2×D411yescharacteristic
693#683C2×D411yescharacteristic
694#683C2×D411yescharacteristic
695#683C2×D411yescharacteristic
696C4×Dic5—21no—
697C4×Dic5—21no—
698C4×Dic5—21no—
699C4×Dic5—21no—
700C4×Dic5—21no—
701C4×Dic5C2×D411yescharacteristic
702C4×Dic5C2×D411yescharacteristic
703C4×Dic5C2411yescharacteristic
704C4×Dic5C2411yescharacteristic
705C4×Dic5C2411yescharacteristic
706C2×#168C2411yescharacteristic
707C2×#168C2411yescharacteristic
708C2×#168C2411yescharacteristic
709C2×#168C2411yescharacteristic
710D40—22no—
711D40—22no—
712#677—22no—
713#676—22no—
714#676—22no—
715C8×D5—22no—
716C8×D5—22no—
717C2×AGL(1,ℤ/8)—51no—
718C22×D8—51no—
719C22×D8—51no—
720#559—51no—
721#559—51no—
722#559—51no—
723#559—51no—
724#554—51no—
725#554—51no—
726#554—51no—
727#554—51no—
728#554—51no—
729#554—101no—
730#554—101no—
731#554—101no—
732#554C2×D511yescharacteristic, complemented
733#550—51no—
734#550—51no—
735#550—51no—
736#550C2×D511yescharacteristic, complemented
737D4×Q8—51no—
738D4×Q8—51no—
739D4×Q8—101no—
740#546—101no—
741#546—101no—
742#546—101no—
743#546—101no—
744#544—51no—
745#544—51no—
746#543—101no—
747#543—101no—
748#540—101no—
749#540—101no—
750#535—51no—
751#535—51no—
752#533—51no—
753#533—51no—
754#532—101no—
755#532—101no—
756C2×#127—51no—
757C2×C22⋊Q8—101no—
758C2×C22⋊Q8—101no—
759#518—51no—
760#518—51no—
761#518—51no—
762#518—51no—
763C4×#41—51no—
764C2×C4×D4—51no—
765#490—51no—
766#490—51no—
767#490—51no—
768#490—51no—
769#490—51no—
770#490—51no—
771#490C2×D511yescharacteristic, complemented
772#490C2×D511yescharacteristic, complemented
773#489—51no—
774#489—51no—
775#489—51no—
776#489—51no—
777#488—51no—
778#488—51no—
779#488—51no—
780#488—51no—
781#486—51no—
782#486—51no—
783#486—51no—
784#486—51no—
785#486—51no—
786#486—51no—
787#486—51no—
788#486C2×D511yescharacteristic, complemented
789#479—51no—
790#479—51no—
791#478—51no—
792#478—51no—
793#478—51no—
794#478—51no—
795#478—51no—
796#478—51no—
797#478—51no—
798#478—51no—
799#478C2×D511yescharacteristic, complemented
800#478C2×D511yescharacteristic, complemented
801#477—51no—
802#476—51no—
803#476—51no—
804#476—51no—
805#476—51no—
806#476C2×D511yescharacteristic, complemented
807#475—51no—
808#474—51no—
809#474—51no—
810#474—51no—
811#474—51no—
812#474—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#459—51no—
822#459—51no—
823#459—51no—
824#459—51no—
825#459—51no—
826#459—51no—
827#459—51no—
828#459—51no—
829#459—51no—
830#459—51no—
831#459—51no—
832#459—51no—
833#459—51no—
834#459C2×D511yescharacteristic
835#459C2×D511yescharacteristic, complemented
836#459C2×D511yescharacteristic, complemented
837#446—51no—
838#446—51no—
839#446—51no—
840#446—51no—
841#446—51no—
842#446C2×D511yescharacteristic, complemented
843C8×Q8—51no—
844C8×Q8—51no—
845#442—51no—
846#442—51no—
847#442—51no—
848#442—51no—
849#442—51no—
850#442—51no—
851#442—51no—
852#442—51no—
853#442C2×D511yescharacteristic, complemented
854#442C2×D511yescharacteristic, complemented
855#440—51no—
856#440—51no—
857C4×SD16—51no—
858C4×SD16—51no—
859C4×D8—51no—
860C4×D8—51no—
861C4×D8—51no—
862C4×D8—51no—
863C4×D8—51no—
864C4×D8—51no—
865C4×D8—51no—
866C4×D8—51no—
867C4×D8—51no—
868C4×D8C2×D511yescharacteristic, complemented
869#428—51no—
870#427—51no—
871#427—51no—
872#424—51no—
873#424—51no—
874C2×C4⋊C8—51no—
875#418—51no—
876#418—51no—
877#418—51no—
878#418—51no—
879#418—51no—
880#417—51no—
881#416—51no—
882#416—51no—
883C2×#102—51no—
884C2×#102—51no—
885#405—51no—
886#405—51no—
887C4×M16—51no—
888C23×C5—21no—
889C23×C5—21no—
890C23×C5—21no—
891C23×C5—21no—
892C22×D5—21no—
893C22×D5—24no—
894C22×D5—21no—
895C22×D5—21no—
896C22×D5—42no—
897C22×D5—42no—
898C22×D5—81no—
899C22×D5—81no—
900C22×D5—81no—
901C22×D5—81no—
902C22×D5—81no—
903C22×D5—81no—
904C22×D5C22×D411yescharacteristic
905C5×Q8—41no—
906C5×Q8—81no—
907C5×D4—21no—
908C5×D4—21no—
909C5×D4—21no—
910C5×D4—21no—
911C5×D4—21no—
912C5×D4—21no—
913C5×D4—21no—
914C5×D4—42no—
915C5×D4—81no—
916C5×D4—81no—
917C5×D4—81no—
918C5×D4—81no—
919C5×D4—81no—
920C5×D4C2×#4112yes—
921C2×C4×C5—21no—
922C2×C4×C5—21no—
923C2×C4×C5—21no—
924C2×C4×C5—21no—
925C2×C4×C5—42no—
926C2×C4×C5—81no—
927C2×C4×C5—81no—
928C2×C4×C5—81no—
929C2×C4×C5—81no—
930C2×C4×C5—81no—
931C2×C4×C5C22×D411yescharacteristic
932C2×C4×C5C22×D411yescharacteristic
933C2×C4×C5C22×D411yescharacteristic
934C2×C4×C5C22×D411yescharacteristic
935C2×C4×C5C22×D411yescharacteristic
936C2×C4×C5C22×D411yescharacteristic
937C2×C4×C5C2511yescharacteristic
938C22⋊D5—24no—
939C22⋊D5—42no—
940C22⋊D5—42no—
941C22⋊D5—42no—
942C22⋊D5—42no—
943C22⋊D5—42no—
944C22⋊D5—81no—
945C22⋊D5—81no—
946C22⋊D5—81no—
947C22⋊D5—81no—
948C22⋊D5—81no—
949C22⋊D5—81no—
950C2×Dic5—21no—
951C2×Dic5—21no—
952C2×Dic5—21no—
953C2×Dic5—21no—
954C2×Dic5—21no—
955C2×Dic5—42no—
956C2×Dic5—42no—
957C2×Dic5—42no—
958C2×Dic5—81no—
959C2×Dic5—81no—
960C2×Dic5—81no—
961C2×Dic5—81no—
962C2×Dic5C22×D411yescharacteristic
963C2×Dic5C22×D411yescharacteristic
964C2×Dic5C22×D411yescharacteristic
965C2×Dic5C22×D411yescharacteristic
966C2×Dic5C22×D411yescharacteristic
967C2×Dic5C22×D411yescharacteristic
968C2×Dic5C22×D411yescharacteristic
969D20—21no—
970D20—21no—
971D20—21no—
972D20—21no—
973D20—21no—
974D20—42no—
975D20—81no—
976D20C2×#4112yes—
977C4×D5—22no—
978C4×D5—41no—
979C4×D5—42no—
980C4×D5—81no—
981C4×D5—81no—
982C4×D5—81no—
983C4×D5—81no—
984C4×D5—81no—
985C4×D5—81no—
986C4×D5—81no—
987C4×D5—81no—
988C4×D5—81no—
989C4×D5—81no—
990C4×D5C2×#4112yes—
991C4×D52−1+412yes—
992Dic10—22no—
993Dic10—22no—
994Dic10—21no—
995Dic10—21no—
996Dic10—41no—
997Dic10—42no—
998Dic10—81no—
999Dic10—81no—
1000Dic10—81no—
1001Dic10—81no—
1002C5×C8—21no—
1003C5×C8—21no—
1004C5×C8—21no—
1005C5×C8—21no—
1006#168—21no—
1007#168—21no—
1008#168—21no—
1009#168—21no—
1010C2×#41—21no—
1011C2×#41—51no—
1012C2×#41—101no—
1013C2×#41—101no—
1014C2×#41—101no—
1015C22×Q8—101no—
1016C22×Q8—101no—
1017C22×D4—51no—
1018C22×D4—51no—
1019C22×D4—51no—
1020C22×D4—101no—
1021C22×D4—101no—
1022C23×C4—101no—
1023AGL(1,ℤ/8)—104no—
1024C2×SD16—51no—
1025C2×SD16—51no—
1026C2×D8—51no—
1027C2×D8—51no—
1028C2×D8—51no—
1029C2×D8—51no—
1030C2×D8—51no—
1031C2×D8—51no—
1032C2×D8—51no—
1033C2×D8—104no—
1034C2×D8—104no—
1035C2×D8C22×D511yescharacteristic
1036C2×D8C22×D511yescharacteristic
1037C2×D8C22×D511yescharacteristic
1038C2×M16—51no—
1039C2×M16—51no—
1040C22×C8—51no—
1041C22×C8—51no—
1042C4⋊Q8—51no—
1043C4⋊Q8—51no—
1044C4⋊Q8—51no—
1045C4⋊Q8—51no—
1046C4⋊Q8—51no—
1047C4⋊Q8—51no—
1048C4⋊Q8—51no—
1049C4⋊Q8—101no—
1050C4⋊Q8—101no—
1051C4⋊Q8C22×D511yescharacteristic
1052#127—51no—
1053#127—51no—
1054#127—51no—
1055#127—51no—
1056#127—51no—
1057#127—101no—
1058#127—101no—
1059#127C22×D511yescharacteristic
1060#127C22×D511yescharacteristic
1061#127C22×D511yescharacteristic
1062#125—51no—
1063#125—51no—
1064#125—51no—
1065#125—51no—
1066#125—51no—
1067#125—51no—
1068#125—101no—
1069#125—101no—
1070#125C22×D511yescharacteristic
1071#125C22×D511yescharacteristic
1072#124—51no—
1073#124—51no—
1074#124—51no—
1075#124—51no—
1076#124—101no—
1077#124—101no—
1078#124—101no—
1079#124—101no—
1080#123—101no—
1081#123—101no—
1082#123—101no—
1083#123—101no—
1084#123—101no—
1085#123—101no—
1086#123—101no—
1087#123—101no—
1088C22⋊Q8—21no—
1089C22⋊Q8—21no—
1090C22⋊Q8—21no—
1091C22⋊Q8—51no—
1092C22⋊Q8—51no—
1093C22⋊Q8—51no—
1094C22⋊Q8—51no—
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—
1108C22⋊Q8—101no—
1109C22⋊Q8—101no—
1110C22⋊Q8—101no—
1111C22⋊Q8—101no—
1112C22⋊Q8—101no—
1113C22⋊Q8—101no—
1114C22⋊Q8—101no—
1115C22⋊Q8—101no—
1116C22⋊Q8—101no—
1117C22⋊Q8—101no—
1118C22⋊Q8—101no—
1119C22⋊Q8—101no—
1120C22⋊Q8—101no—
1121C22⋊Q8—101no—
1122#121—21no—
1123#121—21no—
1124#121—21no—
1125#121—101no—
1126#121—101no—
1127#121—101no—
1128#121—101no—
1129#121—101no—
1130#121—101no—
1131#121—101no—
1132#121—101no—
1133#121—101no—
1134#121—101no—
1135#121—101no—
1136#121—101no—
1137#121—101no—
1138#120—101no—
1139#120—101no—
1140#120—101no—
1141#120—101no—
1142C4×Q8—51no—
1143C4×Q8—51no—
1144C4×Q8—51no—
1145C4×Q8—51no—
1146C4×Q8—51no—
1147C4×Q8—101no—
1148C4×Q8—101no—
1149C4×Q8C22×D511yescharacteristic
1150C4×D4—51no—
1151C4×D4—51no—
1152C4×D4—51no—
1153C4×D4—51no—
1154C4×D4—51no—
1155C4×D4—51no—
1156C4×D4—51no—
1157C4×D4—51no—
1158C4×D4—51no—
1159C4×D4—51no—
1160C4×D4—51no—
1161C4×D4—51no—
1162C4×D4—51no—
1163C4×D4—51no—
1164C4×D4—51no—
1165C4×D4—51no—
1166C4×D4—101no—
1167C4×D4—101no—
1168C4×D4—101no—
1169C4×D4—101no—
1170C4×D4—101no—
1171C4×D4—101no—
1172C4×D4—101no—
1173C4×D4—101no—
1174C4×D4—101no—
1175C4×D4—101no—
1176C4×D4—101no—
1177C4×D4—101no—
1178C4×D4—101no—
1179C4×D4—101no—
1180C4×D4—101no—
1181C4×D4—101no—
1182C4×D4C22×D511yescharacteristic
1183C4×D4C22×D511yescharacteristic
1184C4×D4C22×D511yescharacteristic
1185C4×D4C22×D511yescharacteristic
1186C4×D4C22×D511yescharacteristic
1187C4×D4C22×D511yescharacteristic
1188#117—51no—
1189#117—51no—
1190#117—51no—
1191#117—51no—
1192#117—51no—
1193#117—101no—
1194C2×C4⋊C4—21no—
1195C2×C4⋊C4—51no—
1196C2×C4⋊C4—101no—
1197C2×C4⋊C4—101no—
1198C2×C4⋊C4—101no—
1199C2×C4⋊C4—101no—
1200C2×C4⋊C4—101no—
1201C2×C22⋊C4—101no—
1202C2×C22⋊C4—101no—
1203C2×C22⋊C4—101no—
1204C2×C22⋊C4—101no—
1205C2×C22⋊C4—101no—
1206C2×C22⋊C4—101no—
1207C2×C22⋊C4—101no—
1208C2×C22⋊C4—101no—
1209C2×C22⋊C4—101no—
1210C2×C42—51no—
1211C2×C42—101no—
1212#107—51no—
1213#107—51no—
1214#107—51no—
1215#107—51no—
1216#107—51no—
1217#107C22×D511yescharacteristic
1218#106—51no—
1219#106—51no—
1220#106—51no—
1221#106—51no—
1222#106C22×D511yescharacteristic
1223#106C22×D511yescharacteristic
1224C4⋊C8—51no—
1225C4⋊C8—51no—
1226C4⋊C8—51no—
1227C4⋊C8—51no—
1228C4⋊C8—51no—
1229C4⋊C8—51no—
1230C4⋊C8—51no—
1231C4⋊C8—51no—
1232C4⋊C8—51no—
1233C4⋊C8C22×D511yescharacteristic
1234C4⋊C8C22×D511yescharacteristic
1235C4⋊C8C22×D511yescharacteristic
1236#103—51no—
1237#103—51no—
1238#103—51no—
1239#103—51no—
1240#103—51no—
1241#103—51no—
1242#102—51no—
1243#102—51no—
1244#102—51no—
1245#102—51no—
1246#102—51no—
1247#102—51no—
1248#102—51no—
1249#102—51no—
1250#102—51no—
1251#102—51no—
1252#102—51no—
1253#102—51no—
1254#102—51no—
1255#102—51no—
1256#102—51no—
1257#102—51no—
1258#102—51no—
1259#102—51no—
1260#102—51no—
1261#102—51no—
1262#102—51no—
1263#102—51no—
1264#102—51no—
1265#102—51no—
1266#102C22×D511yescharacteristic
1267#102C22×D511yescharacteristic
1268#102C22×D511yescharacteristic
1269#102C22×D511yescharacteristic
1270#102C22×D511yescharacteristic
1271#102C22×D511yescharacteristic
1272#102C22×D511yescharacteristic
1273#102C22×D511yescharacteristic
1274#102C22×D511yescharacteristic
1275#102C22×D511yescharacteristic
1276#97—51no—
1277#97—51no—
1278#97—51no—
1279#97—51no—
1280#97C22×D511yescharacteristic
1281#97C22×D511yescharacteristic
1282C4×C8—51no—
1283C4×C8—51no—
1284C4×C8—51no—
1285C4×C8—51no—
1286C4×C8—51no—
1287C4×C8C22×D511yescharacteristic
1288C22×C5—22no—
1289C22×C5—41no—
1290C22×C5—41no—
1291C22×C5—41no—
1292C22×C5—41no—
1293C22×C5—41no—
1294C22×C5—41no—
1295C22×C5—41no—
1296C22×C5—41no—
1297C22×C5—41no—
1298C22×C5—41no—
1299C22×C5—41no—
1300C22×C5C23×D411yescharacteristic
1301C2×D5—21no—
1302C2×D5—21no—
1303C2×D5—22no—
1304C2×D5—41no—
1305C2×D5—41no—
1306C2×D5—41no—
1307C2×D5—41no—
1308C2×D5—41no—
1309C2×D5—41no—
1310C2×D5—41no—
1311C2×D5—41no—
1312C2×D5—84no—
1313C2×D5—162no—
1314C2×D5—162no—
1315C2×D5#54812yes—
1316C4×C5—21no—
1317C4×C5—21no—
1318C4×C5—21no—
1319C4×C5—21no—
1320C4×C5—21no—
1321C4×C5—21no—
1322C4×C5—41no—
1323C4×C5—41no—
1324C4×C5—41no—
1325C4×C5—41no—
1326C4×C5C22×#4111yescharacteristic
1327C4×C5C2×2−1+411yescharacteristic
1328Dic5—21no—
1329Dic5—21no—
1330Dic5—21no—
1331Dic5—21no—
1332Dic5—21no—
1333Dic5—41no—
1334Dic5—41no—
1335Dic5—41no—
1336Dic5—41no—
1337Dic5—41no—
1338Dic5#54812yes—
1339Dic5#57612yes—
1340C24—101no—
1341C24—101no—
1342C24—101no—
1343#41—82no—
1344#41—102no—
1345#41—102no—
1346#41—402no—
1347#41—402no—
1348#41—402no—
1349C2×Q8—21no—
1350C2×Q8—51no—
1351C2×Q8—51no—
1352C2×Q8—51no—
1353C2×Q8—51no—
1354C2×Q8—101no—
1355C2×Q8—101no—
1356C2×Q8—101no—
1357C2×Q8—101no—
1358C2×Q8—101no—
1359C2×Q8—402no—
1360C2×Q8—402no—
1361C2×Q8D4×D511yescharacteristic
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—54no—
1369C2×D4—51no—
1370C2×D4—51no—
1371C2×D4—51no—
1372C2×D4—102no—
1373C2×D4—102no—
1374C2×D4—102no—
1375C2×D4—102no—
1376C2×D4—102no—
1377C2×D4—101no—
1378C2×D4—101no—
1379C2×D4—101no—
1380C2×D4—101no—
1381C2×D4—101no—
1382C2×D4—101no—
1383C2×D4—101no—
1384C2×D4—101no—
1385C2×D4—101no—
1386C2×D4—101no—
1387C2×D4—101no—
1388C2×D4—101no—
1389C2×D4—101no—
1390C2×D4—101no—
1391C2×D4—402no—
1392C2×D4—402no—
1393C2×D4C23×D511yescharacteristic
1394C2×D4C23×D511yescharacteristic
1395C2×D4C23×D511yescharacteristic
1396C2×D4C23×D511yescharacteristic
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—51no—
1404C22×C4—51no—
1405C22×C4—51no—
1406C22×C4—101no—
1407C22×C4—101no—
1408C22×C4—101no—
1409C22×C4—101no—
1410C22×C4—101no—
1411C22×C4—101no—
1412C22×C4—101no—
1413C22×C4—101no—
1414C22×C4—101no—
1415C22×C4—101no—
1416C22×C4—101no—
1417C22×C4—101no—
1418C22×C4—101no—
1419C22×C4—101no—
1420C22×C4—101no—
1421C22×C4—101no—
1422C22×C4—101no—
1423C22×C4—101no—
1424C22×C4—402no—
1425SD16—102no—
1426SD16—102no—
1427D8—22no—
1428D8—22no—
1429D8—22no—
1430D8—102no—
1431D8—102no—
1432D8—102no—
1433D8—102no—
1434D8—102no—
1435D8—102no—
1436D8—102no—
1437M16—102no—
1438M16—102no—
1439C2×C8—51no—
1440C2×C8—51no—
1441C2×C8—51no—
1442C2×C8—51no—
1443C2×C8—102no—
1444C2×C8—102no—
1445C2×C8C23×D511yescharacteristic
1446C2×C8C23×D511yescharacteristic
1447C2×C8C23×D511yescharacteristic
1448C2×C8C23×D511yescharacteristic
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—51no—
1455C4⋊C4—51no—
1456C4⋊C4—51no—
1457C4⋊C4—51no—
1458C4⋊C4—51no—
1459C4⋊C4—51no—
1460C4⋊C4—51no—
1461C4⋊C4—51no—
1462C4⋊C4—51no—
1463C4⋊C4—51no—
1464C4⋊C4—51no—
1465C4⋊C4—51no—
1466C4⋊C4—51no—
1467C4⋊C4—51no—
1468C4⋊C4—51no—
1469C4⋊C4—51no—
1470C4⋊C4—51no—
1471C4⋊C4—101no—
1472C4⋊C4—101no—
1473C4⋊C4—101no—
1474C4⋊C4—101no—
1475C4⋊C4—101no—
1476C4⋊C4—101no—
1477C4⋊C4—101no—
1478C4⋊C4—101no—
1479C4⋊C4—101no—
1480C4⋊C4—101no—
1481C4⋊C4—101no—
1482C4⋊C4—101no—
1483C4⋊C4—101no—
1484C4⋊C4—101no—
1485C4⋊C4—101no—
1486C4⋊C4—101no—
1487C4⋊C4D4×D511yescharacteristic
1488C4⋊C4D4×D511yescharacteristic
1489C4⋊C4D4×D511yescharacteristic
1490C4⋊C4C23×D511yescharacteristic
1491C4⋊C4C23×D511yescharacteristic
1492C4⋊C4C23×D511yescharacteristic
1493C4⋊C4C23×D511yescharacteristic
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—51no—
1501C22⋊C4—51no—
1502C22⋊C4—51no—
1503C22⋊C4—51no—
1504C22⋊C4—101no—
1505C22⋊C4—101no—
1506C22⋊C4—101no—
1507C22⋊C4—101no—
1508C22⋊C4—101no—
1509C22⋊C4—101no—
1510C22⋊C4—101no—
1511C22⋊C4—101no—
1512C22⋊C4—101no—
1513C22⋊C4—101no—
1514C22⋊C4—101no—
1515C22⋊C4—101no—
1516C22⋊C4—101no—
1517C22⋊C4—101no—
1518C22⋊C4—101no—
1519C22⋊C4—101no—
1520C22⋊C4—101no—
1521C22⋊C4—101no—
1522C22⋊C4—101no—
1523C22⋊C4—101no—
1524C22⋊C4—101no—
1525C22⋊C4—101no—
1526C22⋊C4—101no—
1527C22⋊C4—101no—
1528C22⋊C4—101no—
1529C22⋊C4—101no—
1530C22⋊C4—101no—
1531C42—51no—
1532C42—51no—
1533C42—51no—
1534C42—51no—
1535C42—51no—
1536C42—101no—
1537C42—101no—
1538C42—101no—
1539C42—101no—
1540C42—101no—
1541C42C23×D511yescharacteristic
1542C42C23×D511yescharacteristic
1543C42C23×D511yescharacteristic
1544C2×C5—42no—
1545C2×C5—81no—
1546C2×C5—81no—
1547C2×C5—81no—
1548C2×C5C2×#54811yescharacteristic
1549C2×C5C2×#57611yescharacteristic
1550C2×C5#358511yescharacteristic
1551D5—22no—
1552D5—42no—
1553D5—81no—
1554D5—81no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—51no—
1560C23—104no—
1561C23—101no—
1562C23—101no—
1563C23—101no—
1564C23—202no—
1565C23—202no—
1566C23—401no—
1567C23—401no—
1568C23—401no—
1569C23—401no—
1570C23—401no—
1571C23—401no—
1572Q8—41no—
1573Q8—81no—
1574Q8—102no—
1575Q8—102no—
1576Q8—101no—
1577Q8—101no—
1578Q8—201no—
1579Q8—202no—
1580Q8—401no—
1581Q8—401no—
1582Q8—401no—
1583Q8—401no—
1584D4—21no—
1585D4—21no—
1586D4—21no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—42no—
1592D4—52no—
1593D4—81no—
1594D4—81no—
1595D4—81no—
1596D4—81no—
1597D4—81no—
1598D4—104no—
1599D4—101no—
1600D4—101no—
1601D4—101no—
1602D4—101no—
1603D4—101no—
1604D4—202no—
1605D4—202no—
1606D4—202no—
1607D4—202no—
1608D4—202no—
1609D4—202no—
1610D4—401no—
1611D4—401no—
1612D4—401no—
1613D4—401no—
1614D4—401no—
1615D4—401no—
1616D4—401no—
1617D4D5×#4112yes—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—42no—
1623C2×C4—51no—
1624C2×C4—51no—
1625C2×C4—52no—
1626C2×C4—52no—
1627C2×C4—51no—
1628C2×C4—51no—
1629C2×C4—51no—
1630C2×C4—51no—
1631C2×C4—51no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—81no—
1636C2×C4—81no—
1637C2×C4—102no—
1638C2×C4—101no—
1639C2×C4—101no—
1640C2×C4—101no—
1641C2×C4—101no—
1642C2×C4—101no—
1643C2×C4—201no—
1644C2×C4—202no—
1645C2×C4—202no—
1646C2×C4—202no—
1647C2×C4—202no—
1648C2×C4—401no—
1649C2×C4—401no—
1650C2×C4—401no—
1651C2×C4—401no—
1652C2×C4—401no—
1653C2×C4—401no—
1654C2×C4—401no—
1655C2×C4—401no—
1656C2×C4—401no—
1657C2×C4—401no—
1658C2×C4—401no—
1659C2×C4—401no—
1660C2×C4—401no—
1661C2×C4—401no—
1662C2×C4C2×D4×D511yescharacteristic
1663C2×C4C2×D4×D511yescharacteristic
1664C2×C4C2×D4×D511yescharacteristic
1665C2×C4C2×D4×D511yescharacteristic
1666C2×C4C2×D4×D511yescharacteristic
1667C2×C4C2×D4×D511yescharacteristic
1668C2×C4C24×D511yescharacteristic
1669C8—21no—
1670C8—21no—
1671C8—21no—
1672C8—21no—
1673C8—101no—
1674C8—101no—
1675C8—101no—
1676C8—101no—
1677C5#6133911yescharacteristic, complemented, Sylow
1678C22—22no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—52no—
1691C22—101no—
1692C22—101no—
1693C22—102no—
1694C22—201no—
1695C22—201no—
1696C22—201no—
1697C22—201no—
1698C22—201no—
1699C22—201no—
1700C22—201no—
1701C22—201no—
1702C22—404no—
1703C22—802no—
1704C22—802no—
1705C22C22×D4×D511yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—52no—
1717C4—52no—
1718C4—101no—
1719C4—101no—
1720C4—101no—
1721C4—101no—
1722C4—101no—
1723C4—201no—
1724C4—201no—
1725C4—201no—
1726C4—201no—
1727C4—201no—
1728C4C2×D5×#4111yescharacteristic
1729C4D5×2−1+411yescharacteristic
1730C2—42no—
1731C2—81no—
1732C2—81no—
1733C2—81no—
1734C2—102no—
1735C2—202no—
1736C2—401no—
1737C2—401no—
1738C2D5×#54811yescharacteristic
1739C2#1061909311yescharacteristic
1740C2D5×#57611yescharacteristic
subgroupG/H
centerC22C22×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC5×#3366C2
socleC22×C5C23×D4
hypercenter#3366D5
hypocenterC5#61339
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3366

Complements

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

NH ≅ G/Ntype
1. #10618850C2semidirect
2. #10618672C2semidirect
3. C5×#3366C2semidirect
4. #10615370C2semidirect
5. #10615312C2semidirect
6. #10613446C2semidirect
7. #10613445C2semidirect
8. #10613441C2semidirect
9. #10613439C2semidirect
10. #10613315C2semidirect
11. #10613294C2semidirect
12. #10612900C2semidirect
13. #10612896C2semidirect
14. #10612883C2semidirect
15. #10612881C2semidirect
16. #10612793C2semidirect
17. #10612783C2semidirect
18. #10612065C2semidirect
19. #10612065C2semidirect
20. D5×#459C2semidirect
21. #10612053C2semidirect
22. #10612052C2semidirect
23. #10612049C2semidirect
24. #10611702C2semidirect
25. #10611692C2semidirect
26. #10611598C2semidirect
27. #10611596C2semidirect
28. #10611584C2semidirect
29. #10611582C2semidirect
30. #10611319C2semidirect
31. #10611300C2semidirect
32. C5×#554C22semidirect
33. C5×#550C22semidirect
40. #66061C22semidirect
41. #66052C22semidirect
42. #66052C22semidirect
46. #66047C22semidirect
47. #66024C22semidirect
48. #66024C22semidirect
63. #65919C22semidirect
64. #65913C22semidirect
66. #65893C22semidirect
67. #65893C22semidirect
68. #65887C22semidirect
74. #65873C22semidirect
75. #65873C22semidirect
76. D4×Dic10C22semidirect
80. C5×#490C22semidirect
81. C5×#490C22semidirect
82. C5×#486C22semidirect
83. C5×#478C22semidirect
84. C5×#478C22semidirect
85. C5×#476C22semidirect
87. C5×#459C22semidirect
88. C5×#459C22semidirect
89. C5×#446C22semidirect
90. C5×#442C22semidirect
91. C5×#442C22semidirect
92. C4×C5×D8C22semidirect
93. #65442C22semidirect
94. #65442C22semidirect
95. #65441C22semidirect
98. #65439C22semidirect
99. #65439C22semidirect
100. D8×Dic5C22semidirect
101. D8×Dic5C22semidirect
102. #65378C22semidirect
103. #65376C22semidirect
105. #65361C22semidirect
106. #65361C22semidirect
107. #65360C22semidirect
108. #65360C22semidirect
109. #65359C22semidirect
110. #65357C22semidirect
111. #65356C22semidirect
112. #65355C22semidirect
113. #65352C22semidirect
114. #65313C22semidirect
115. #65307C22semidirect
116. #65305C22semidirect
117. #65305C22semidirect
119. #65303C22semidirect
120. #65303C22semidirect
121. #65303C22semidirect
122. C4×#686C22semidirect
123. C4×#686C22semidirect
124. #65298C22semidirect
125. #65298C22semidirect
126. #65297C22semidirect
127. #65180C22semidirect
129. #65164C22semidirect
130. #65161C22semidirect
131. #65160C22semidirect
132. #65159C22semidirect
133. #65159C22semidirect
134. #65158C22semidirect
137. #65143C22semidirect
138. #65141C22semidirect
139. #65136C22semidirect
140. #65135C22semidirect
141. #65133C22semidirect
142. #65133C22semidirect
147. #65119C22semidirect
148. #65118C22semidirect
149. #65117C22semidirect
150. #65117C22semidirect
151. #65076C22semidirect
152. #65076C22semidirect
155. #65075C22semidirect
156. #65075C22semidirect
157. #65074C22semidirect
158. #65074C22semidirect
169. #65057C22semidirect
170. #65057C22semidirect
171. #65055C22semidirect
172. #65054C22semidirect
173. #65054C22semidirect
174. #65053C22semidirect
175. #65053C22semidirect
176. #65052C22semidirect
177. #65050C22semidirect
178. #65049C22semidirect
179. #65049C22semidirect
180. #65049C22semidirect
181. #65049C22semidirect
182. #65049C22semidirect
183. #65049C22semidirect
184. #65048C22semidirect
185. #65048C22semidirect
186. #65048C22semidirect
187. #65047C22semidirect
188. #65045C22semidirect
189. #65045C22semidirect
190. #65045C22semidirect
191. #65003C22semidirect
192. #65002C22semidirect
193. #65000C22semidirect
194. #64999C22semidirect
197. #64990C22semidirect
198. #64990C22semidirect
199. #64986C22semidirect
200. C4×D40C22semidirect
202. C8×Dic10C22semidirect
495. #3366D5semidirect
566. D4×D5#41semidirect
732. #554C2×D5semidirect
736. #550C2×D5semidirect
771. #490C2×D5semidirect
772. #490C2×D5semidirect
788. #486C2×D5semidirect
799. #478C2×D5semidirect
800. #478C2×D5semidirect
806. #476C2×D5semidirect
835. #459C2×D5semidirect
836. #459C2×D5semidirect
842. #446C2×D5semidirect
853. #442C2×D5semidirect
854. #442C2×D5semidirect
868. C4×D8C2×D5semidirect
1677. C5#61339semidirect

Maximal subgroups

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

subgroupindex
#106188502
#106186722
C5×#33662
#106153702
#106153122
#106134462
#106134452
#106134412
#106134392
#106133152
#106132942
#106129002
#106128962
#106128832
#106128812
#106127932
#106127832
#106120652
D5×#4592
#106120532
#106120522
#106120492
#106117022
#106116922
#106115982
#106115962
#106115842
#106115822
#106113192
#106113002
#613395