Finite Group Databasebeta

← #12970875

Subgroups — #12970875

Order 1280.

2278 conjugacy classes of subgroups.

The subgroup lattice has 1970 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10618451C211yesmaximal, characteristic, complemented
2D5×#535C211yesmaximal, characteristic, complemented
3C5×#3224C211yesmaximal, characteristic, complemented
4#10615194C211yesmaximal, characteristic, complemented
5#10615119C211yesmaximal, characteristic, complemented
6#10613582C211yesmaximal, characteristic, complemented
7#10613579C211yesmaximal, characteristic, complemented
8#10613556C211yesmaximal, characteristic, complemented
9#10613554C211yesmaximal, characteristic, complemented
10#10613415C211yesmaximal, characteristic, complemented
11#10613411C211yesmaximal, characteristic, complemented
12#10613297C211yesmaximal, characteristic, complemented
13#10613294C211yesmaximal, characteristic, complemented
14#10612336C211yesmaximal, characteristic, complemented
15#10612333C211yesmaximal, characteristic, complemented
16#10612273C211yesmaximal, characteristic, complemented
17#10612267C211yesmaximal, characteristic, complemented
18#10612121C211yesmaximal, characteristic, complemented
19#10612117C211yesmaximal, characteristic, complemented
20#10612067C211yesmaximal, characteristic, complemented
21#10612065C211yesmaximal, characteristic, complemented
22#10611994C211yesmaximal, characteristic, complemented
23#10611957C211yesmaximal, characteristic, complemented
24#10611877C211yesmaximal, characteristic, complemented
25#10611874C211yesmaximal, characteristic, complemented
26#10611849C211yesmaximal, characteristic, complemented
27#10611815C211yesmaximal, characteristic, complemented
28D5×#447C211yesmaximal, characteristic, complemented
29#10611729C211yesmaximal, characteristic, complemented
30#10611121C211yesmaximal, characteristic, complemented
31#10611105C211yesmaximal, characteristic, complemented
32C2×D5×#41C2211yescharacteristic
33C22×D4×D5C2211yescharacteristic
34C5×#542C2211yescharacteristic, complemented
35C5×#535C2211yescharacteristic, complemented
36#66164C2211yescharacteristic, complemented
37#66139C2211yescharacteristic, complemented
38C2×#4065C2211yescharacteristic, complemented
39C2×#4062C2211yescharacteristic, complemented
40C2×#4060C2211yescharacteristic, complemented
41C2×#4060C2211yescharacteristic, complemented
42C2×#4060C2211yescharacteristic, complemented
43C2×#4057C2211yescharacteristic, complemented
44C2×D5×D8C2211yescharacteristic, complemented
45C2×D5×D8C2211yescharacteristic, complemented
46#66063C2211yescharacteristic, complemented
47#66059C2211yescharacteristic, complemented
48#66049C2211yescharacteristic
49#66049C2211yescharacteristic
50D5×#127C2211yescharacteristic, complemented
51D5×#127C2211yescharacteristic, complemented
52#66043—21no—
53#66039—21no—
54#66014C2211yescharacteristic, complemented
55#66010—21no—
56#66008C2211yescharacteristic
57#66008C2211yescharacteristic
58#66008C2211yescharacteristic, complemented
59D5×#124C2211yescharacteristic, complemented
60D5×#124C2211yescharacteristic, complemented
61#66004—21no—
62#65995—21no—
63#65988—21no—
64#65977C2211yescharacteristic, complemented
65#65971—21no—
66#65965—21no—
67#65961C2211yescharacteristic
68#65953C2211yescharacteristic, complemented
69#65941—21no—
70#65941—21no—
71D5×#121—21no—
72D5×#121—21no—
73D5×#121C2211yescharacteristic
74#65926—21no—
75#65926—21no—
76D5×#120—21no—
77D5×#120—21no—
78#65914C2211yescharacteristic, complemented
79#65908C2211yescharacteristic, complemented
80#65882C2211yescharacteristic, complemented
81#65879C2211yescharacteristic, complemented
82#65869C2211yescharacteristic, complemented
83#65859C2211yescharacteristic, complemented
84D5×#117C2211yescharacteristic
85C5×#496C2211yescharacteristic, complemented
86C5×#495C2211yescharacteristic, complemented
87C5×#489C2211yescharacteristic, complemented
88C5×#486C2211yescharacteristic, complemented
89C5×#464C2211yescharacteristic, complemented
90C5×#463C2211yescharacteristic, complemented
91C5×#460C2211yescharacteristic, complemented
92C5×#459C2211yescharacteristic, complemented
93C5×#452C2211yescharacteristic, complemented
94C5×#450C2211yescharacteristic, complemented
95C5×#449C2211yescharacteristic, complemented
96C5×#447C2211yescharacteristic, complemented
97C5×#433C2211yescharacteristic, complemented
98#65527C2211yescharacteristic, complemented
99#65527C2211yescharacteristic, complemented
100#65506C2211yescharacteristic, complemented
101#65506C2211yescharacteristic, complemented
102#65480C2211yescharacteristic, complemented
103#65475C2211yescharacteristic, complemented
104#65474C2211yescharacteristic, complemented
105#65465C2211yescharacteristic, complemented
106#65465C2211yescharacteristic, complemented
107#65465C2211yescharacteristic, complemented
108#65459C2211yescharacteristic, complemented
109#65458C2211yescharacteristic, complemented
110#65458C2211yescharacteristic, complemented
111#65458C2211yescharacteristic, complemented
112#65457C2211yescharacteristic, complemented
113#65455C2211yescharacteristic, complemented
114#65454C2211yescharacteristic, complemented
115#65452C2211yescharacteristic, complemented
116#65452C2211yescharacteristic, complemented
117#65445C2211yescharacteristic
118#65445C2211yescharacteristic
119#65445C2211yescharacteristic, complemented
120#65443C2211yescharacteristic, complemented
121#65442C2211yescharacteristic, complemented
122#65440C2211yescharacteristic, complemented
123#65440C2211yescharacteristic, complemented
124#65439C2211yescharacteristic, complemented
125#65439C2211yescharacteristic, complemented
126#65378C2211yescharacteristic, complemented
127#65377C2211yescharacteristic, complemented
128#65362C2211yescharacteristic, complemented
129#65361C2211yescharacteristic, complemented
130#65361C2211yescharacteristic, complemented
131#65360C2211yescharacteristic, complemented
132#65348C2211yescharacteristic, complemented
133#65347C2211yescharacteristic, complemented
134#65347C2211yescharacteristic, complemented
135#65346C2211yescharacteristic, complemented
136#65346C2211yescharacteristic, complemented
137#65345C2211yescharacteristic, complemented
138#65336C2211yescharacteristic, complemented
139#65335C2211yescharacteristic, complemented
140#65326C2211yescharacteristic, complemented
141#65325C2211yescharacteristic, complemented
142#65317C2211yescharacteristic, complemented
143#65316C2211yescharacteristic, complemented
144#65305C2211yescharacteristic, complemented
145#65304C2211yescharacteristic, complemented
146#65289C2211yescharacteristic, complemented
147#65133C2211yescharacteristic, complemented
148#65133C2211yescharacteristic, complemented
149#65132C2211yescharacteristic, complemented
150#65132C2211yescharacteristic, complemented
151#65128C2211yescharacteristic, complemented
152#65128C2211yescharacteristic, complemented
153#65124C2211yescharacteristic, complemented
154#65122C2211yescharacteristic, complemented
155#65108C2211yescharacteristic, complemented
156#65108C2211yescharacteristic, complemented
157#65095C2211yescharacteristic, complemented
158#65095C2211yescharacteristic, complemented
159#65093C2211yescharacteristic, complemented
160#65092C2211yescharacteristic, complemented
161#65089C2211yescharacteristic, complemented
162#65084C2211yescharacteristic, complemented
163#65076C2211yescharacteristic, complemented
164#65076C2211yescharacteristic, complemented
165#65075C2211yescharacteristic, complemented
166#65075C2211yescharacteristic, complemented
167#65075C2211yescharacteristic, complemented
168#65075C2211yescharacteristic, complemented
169#65062C2211yescharacteristic
170#65062C2211yescharacteristic
171#65062C2211yescharacteristic, complemented
172#65062C2211yescharacteristic, complemented
173#65062C2211yescharacteristic, complemented
174#65062C2211yescharacteristic, complemented
175#65061C2211yescharacteristic, complemented
176#65060C2211yescharacteristic, complemented
177#65059C2211yescharacteristic, complemented
178#65059C2211yescharacteristic, complemented
179D5×#102C2211yescharacteristic, complemented
180D5×#102C2211yescharacteristic, complemented
181#65057C2211yescharacteristic, complemented
182#65054C2211yescharacteristic, complemented
183#65053C2211yescharacteristic, complemented
184#65053C2211yescharacteristic, complemented
185#65049C2211yescharacteristic, complemented
186#65049C2211yescharacteristic, complemented
187#65023C2211yescharacteristic, complemented
188#65023C2211yescharacteristic, complemented
189#65021C2211yescharacteristic, complemented
190#65021C2211yescharacteristic, complemented
191#65015C2211yescharacteristic
192D5×C22⋊C8C2211yescharacteristic
193#65009C2211yescharacteristic, complemented
194#65009C2211yescharacteristic, complemented
195#65002C2211yescharacteristic, complemented
196#65001C2211yescharacteristic, complemented
197#64997C2211yescharacteristic, complemented
198#64994C2211yescharacteristic, complemented
199#64986C2211yescharacteristic, complemented
200#64984C2211yescharacteristic, complemented
201#64978C2211yescharacteristic, complemented
202#64974C2211yescharacteristic, complemented
203#60811—51nomaximal, Sylow
204C24×D5—21no—
205C2×C5×#41C2311yescharacteristic
206C22×C5×D4C2311yescharacteristic
207C22×C22⋊D5—21no—
208D5×#41—42no—
209D5×#41—42no—
210C2×#713—21no—
211C2×#713C2311yescharacteristic
212C2×#713C2311yescharacteristic
213C2×Q8×D5C2311yescharacteristic
214C2×#711—21no—
215C2×#711C2311yescharacteristic
216C2×D4×D5—21no—
217C2×D4×D5—21no—
218C2×D4×D5—21no—
219C2×D4×D5—21no—
220C2×D4×D5—21no—
221C2×D4×D5—21no—
222C2×D4×D5—21no—
223C2×D4×D5—21no—
224C2×D4×D5—42no—
225C2×D4×D5—42no—
226C2×D4×D5C2311yescharacteristic
227C2×D4×D5C2311yescharacteristic
228C2×D4×D5C2311yescharacteristic
229C2×D4×D5C2311yescharacteristic
230C2×D4×D5C2311yescharacteristic
231C2×D4×D5C2311yescharacteristic
232C2×#709—21no—
233C2×#709—21no—
234C2×#709C2311yescharacteristic
235C22×D20C2311yescharacteristic
236C22×C4×D5—21no—
237C22×C4×D5C2311yescharacteristic
238C2×C5×Q16C2311yescharacteristic, complemented
239C2×C5×SD16C2311yescharacteristic
240C2×C5×SD16C2311yescharacteristic
241C2×C5×SD16C2311yescharacteristic, complemented
242C2×C5×SD16C2311yescharacteristic, complemented
243C2×C5×D8C2311yescharacteristic
244C2×C5×D8C2311yescharacteristic
245C2×C5×D8C2311yescharacteristic, complemented
246C5×C4⋊Q8C2311yescharacteristic, complemented
247C5×#127C2311yescharacteristic
248C5×#127C2311yescharacteristic
249C5×#126—21no—
250C5×#124—21no—
251C5×#124C2311yescharacteristic
252C5×#124C2311yescharacteristic
253C5×#124C2311yescharacteristic, complemented
254C5×#123—21no—
255C5×C22⋊Q8—21no—
256C5×C22⋊Q8C2311yescharacteristic
257C5×#121—21no—
258C5×#121—21no—
259C5×#121C2311yescharacteristic
260C5×#120—21no—
261C5×#120—21no—
262C4×C5×Q8C2311yescharacteristic, complemented
263C4×C5×D4C2311yescharacteristic, complemented
264C5×#117C2311yescharacteristic
265#4099—21no—
266#4099—21no—
267#4093—21no—
268#4093C2311yescharacteristic
269#4093C2311yescharacteristic
270#4093C2311yescharacteristic, complemented
271#4092—21no—
272#4092C2311yescharacteristic
273Q8×Dic5C2311yescharacteristic, complemented
274#4090—21no—
275C2×#689C2311yescharacteristic, complemented
276C2×#688C2311yescharacteristic
277C2×#688C2311yescharacteristic
278C2×#688C2311yescharacteristic, complemented
279C2×#688C2311yescharacteristic, complemented
280C2×#688C2311yescharacteristic, complemented
281#4086—21no—
282#4086—21no—
283#4086—21no—
284#4086—21no—
285#4086C2311yescharacteristic
286#4086C2311yescharacteristic
287#4086C2311yescharacteristic
288#4086C2311yescharacteristic
289#4086C2311yescharacteristic, complemented
290#4085—21no—
291#4085—21no—
292#4085—21no—
293#4085—21no—
294#4085—21no—
295#4085—21no—
296#4084—21no—
297#4084—21no—
298#4084—21no—
299#4084C2311yescharacteristic
300#4083—21no—
301#4083—21no—
302#4083—21no—
303#4083—21no—
304#4083—21no—
305#4083—21no—
306#4082C2311yescharacteristic
307#4082C2311yescharacteristic
308D4×Dic5C2311yescharacteristic, complemented
309C2×#687C2311yescharacteristic, complemented
310C2×#686C2311yescharacteristic
311C2×#686C2311yescharacteristic
312C2×#686C2311yescharacteristic
313C2×#686C2311yescharacteristic
314C2×#686C2311yescharacteristic
315C2×#686C2311yescharacteristic
316C2×#686C2311yescharacteristic, complemented
317C2×#686C2311yescharacteristic, complemented
318C2×#686C2311yescharacteristic, complemented
319#4076—21no—
320#4076—21no—
321#4076C2311yescharacteristic
322#4076C2311yescharacteristic
323C4×C22⋊D5—21no—
324C4×C22⋊D5—21no—
325C2×#685—21no—
326#4072C2311yescharacteristic
327#4065—42no—
328#4062—42no—
329#4060—42no—
330#4060—42no—
331#4060—42no—
332#4057—42no—
333D5×D8—42no—
334D5×D8—42no—
335C2×D40C2311yescharacteristic
336C2×D40C2311yescharacteristic
337C2×D40C2311yescharacteristic
338C2×D40C2311yescharacteristic
339C2×D40C2311yescharacteristic, complemented
340C2×D40C2311yescharacteristic, complemented
341C2×#677C2311yescharacteristic, complemented
342C2×#677C2311yescharacteristic, complemented
343C2×#676C2311yescharacteristic
344C2×#676C2311yescharacteristic
345C2×C8×D5C2311yescharacteristic
346C2×C8×D5C2311yescharacteristic
347#4044—21no—
348#4044—21no—
349#4043—21no—
350#4042—21no—
351#4041—21no—
352#4041—21no—
353#4041—21no—
354#4041C2311yescharacteristic
355#4041C2311yescharacteristic
356#4040—21no—
357#4040—21no—
358#4040—21no—
359#4040—21no—
360#4039—21no—
361#4039—21no—
362#4039—21no—
363#4039C2311yescharacteristic, complemented
364#4039C2311yescharacteristic, complemented
365#4038D411yescharacteristic
366#4038D411yescharacteristic
367#4038C2311yescharacteristic
368D5×C4⋊C4—21no—
369D5×C4⋊C4D411yescharacteristic
370D5×C4⋊C4D411yescharacteristic
371D5×C4⋊C4C2311yescharacteristic
372#4036C2311yescharacteristic, complemented
373#4035—21no—
374#4034C2311yescharacteristic, complemented
375#4032—21no—
376#4031—21no—
377#4031—21no—
378#4031—21no—
379#4031—21no—
380#4031—21no—
381#4031—21no—
382#4030—21no—
383#4030—21no—
384#4030—21no—
385#4030—21no—
386#4030—21no—
387#4030—21no—
388#4030—21no—
389#4030—21no—
390#4030—21no—
391#4030—21no—
392#4029—21no—
393#4029—21no—
394#4029—21no—
395#4028—21no—
396#4028—21no—
397#4028—21no—
398#4028—21no—
399#4028—21no—
400#4028—21no—
401#4028—21no—
402#4028—21no—
403#4028—21no—
404#4027—21no—
405#4027—21no—
406#4027—21no—
407D5×C22⋊C4—21no—
408D5×C22⋊C4—21no—
409D5×C22⋊C4—21no—
410D5×C22⋊C4—21no—
411D5×C22⋊C4—21no—
412D5×C22⋊C4—21no—
413D5×C22⋊C4D411yescharacteristic
414D5×C22⋊C4D411yescharacteristic
415#4025—21no—
416#4023—21no—
417#4023D411yescharacteristic
418#4023D411yescharacteristic
419#4021C2311yescharacteristic
420#4021C2311yescharacteristic
421#4020C2311yescharacteristic
422#4020C2311yescharacteristic
423#4020C2311yescharacteristic, complemented
424C4×D20—21no—
425C4×D20—21no—
426C4×D20C2311yescharacteristic, complemented
427C4×D20C2311yescharacteristic, complemented
428#4018—21no—
429#4018—21no—
430#4018C2311yescharacteristic
431#4018C2311yescharacteristic
432C42×D5C2311yescharacteristic
433C42×D5C2311yescharacteristic
434#4016C2311yescharacteristic, complemented
435C5×C4⋊C8C2311yescharacteristic, complemented
436C5×C4⋊C8C2311yescharacteristic, complemented
437C5×#103C2311yescharacteristic, complemented
438C5×#103C2311yescharacteristic, complemented
439C5×#102C2311yescharacteristic
440C5×#102C2311yescharacteristic
441C5×#102C2311yescharacteristic
442C5×#102C2311yescharacteristic
443C5×#102C2311yescharacteristic, complemented
444C5×#102C2311yescharacteristic, complemented
445C5×C22⋊C8C2311yescharacteristic
446C5×C22⋊C8C2311yescharacteristic
447C5×#97C2311yescharacteristic, complemented
448C4×C5×C8C2311yescharacteristic, complemented
449#3967C2311yescharacteristic, complemented
450#3967C2311yescharacteristic, complemented
451#3964C2311yescharacteristic
452#3964C2311yescharacteristic
453#3964C2311yescharacteristic
454#3964C2311yescharacteristic
455#3964C2311yescharacteristic, complemented
456#3964C2311yescharacteristic, complemented
457C22⋊#168C2311yescharacteristic
458C22⋊#168C2311yescharacteristic
459#3953C2311yescharacteristic
460#3953C2311yescharacteristic
461#3953C2311yescharacteristic
462#3953C2311yescharacteristic
463#3953C2311yescharacteristic, complemented
464#3953C2311yescharacteristic, complemented
465#3952C2311yescharacteristic
466#3952C2311yescharacteristic
467#3952C2311yescharacteristic
468#3952C2311yescharacteristic
469#3948C2311yescharacteristic, complemented
470#3948C2311yescharacteristic, complemented
471#3947C2311yescharacteristic, complemented
472#3947C2311yescharacteristic, complemented
473#3946C2311yescharacteristic, complemented
474#3946C2311yescharacteristic, complemented
475#3946C2311yescharacteristic, complemented
476#3946C2311yescharacteristic, complemented
477C8×Dic5C2311yescharacteristic, complemented
478C8×Dic5C2311yescharacteristic, complemented
479#3942C2311yescharacteristic, complemented
480#3942C2311yescharacteristic, complemented
481#3941C2311yescharacteristic
482#3941C2311yescharacteristic
483#3941C2311yescharacteristic
484#3941C2311yescharacteristic
485#3941C2311yescharacteristic, complemented
486#3941C2311yescharacteristic, complemented
487C4⋊#168C2311yescharacteristic, complemented
488C4⋊#168C2311yescharacteristic, complemented
489#3935C2311yescharacteristic, complemented
490C4×#168C2311yescharacteristic, complemented
491#3494—51no—
492C2×#535—51no—
493#3224—51no—
494#3224—51no—
495#3224—51no—
496#3224D511yescharacteristic, complemented
497#3220—51no—
498#3220—51no—
499#3220—51no—
500#3220—51no—
501#3217—51no—
502#3217—51no—
503#3213—51no—
504#3213—51no—
505#3211—51no—
506#3211—51no—
507#3205—51no—
508#3205—51no—
509#3155—51no—
510#3155—51no—
511#3136—51no—
512#3136—51no—
513#3045—51no—
514#3045—51no—
515#3041—51no—
516#3041—51no—
517#3006—51no—
518#3003—51no—
519#3002—51no—
520C2×#447—51no—
521#2924—51no—
522C24×C5—21no—
523C23×D5—21no—
524C23×D5—21no—
525C23×D5—21no—
526C23×D5—21no—
527C23×D5—21no—
528C23×D5—21no—
529C23×D5—21no—
530C23×D5—44no—
531C23×D5—82no—
532C23×D5—82no—
533C23×D5C2×D411yescharacteristic
534C5×#41—41no—
535C5×#41—41no—
536C2×C5×Q8—21no—
537C2×C5×Q8C2411yescharacteristic
538C2×C5×Q8C2411yescharacteristic
539C2×C5×D4—21no—
540C2×C5×D4—21no—
541C2×C5×D4—21no—
542C2×C5×D4—21no—
543C2×C5×D4—21no—
544C2×C5×D4—21no—
545C2×C5×D4—21no—
546C2×C5×D4—41no—
547C2×C5×D4—41no—
548C2×C5×D4C2411yescharacteristic
549C2×C5×D4C2411yescharacteristic
550C2×C5×D4C2411yescharacteristic
551C2×C5×D4C2411yescharacteristic
552C22×C4×C5—21no—
553C22×C4×C5—21no—
554C22×C4×C5C2411yescharacteristic
555C2×C22⋊D5—21no—
556C2×C22⋊D5—21no—
557C2×C22⋊D5—21no—
558C2×C22⋊D5—21no—
559C2×C22⋊D5—21no—
560C2×C22⋊D5—21no—
561C2×C22⋊D5—21no—
562C2×C22⋊D5—21no—
563C2×C22⋊D5—21no—
564C2×C22⋊D5—21no—
565C2×C22⋊D5—21no—
566C2×C22⋊D5—21no—
567C2×C22⋊D5—21no—
568C2×C22⋊D5—21no—
569C2×C22⋊D5—21no—
570C2×C22⋊D5—21no—
571C2×C22⋊D5—21no—
572C2×C22⋊D5—21no—
573C2×C22⋊D5—21no—
574C2×C22⋊D5—21no—
575C2×C22⋊D5—21no—
576C2×C22⋊D5—44no—
577C22×Dic5—21no—
578C22×Dic5—21no—
579C22×Dic5C2×D411yescharacteristic
580#713—22no—
581#713—22no—
582#713—22no—
583#713—22no—
584#713—82no—
585Q8×D5—41no—
586Q8×D5—41no—
587#711—22no—
588#711—22no—
589#711—44no—
590D4×D5—22no—
591D4×D5—22no—
592D4×D5—22no—
593D4×D5—22no—
594D4×D5—22no—
595D4×D5—22no—
596D4×D5—41no—
597D4×D5—41no—
598D4×D5—41no—
599D4×D5—41no—
600D4×D5—41no—
601D4×D5—41no—
602D4×D5—44no—
603D4×D5—44no—
604D4×D5—44no—
605D4×D5—82no—
606D4×D5—82no—
607D4×D5—82no—
608D4×D5—82no—
609D4×D5—82no—
610#709—41no—
611#709—41no—
612#709—44no—
613#709—82no—
614C2×D20—21no—
615C2×D20—21no—
616C2×D20—21no—
617C2×D20—21no—
618C2×D20—21no—
619C2×D20—21no—
620C2×D20—21no—
621C2×D20—21no—
622C2×D20—21no—
623C2×D20—21no—
624C2×D20—21no—
625C2×D20—41no—
626C2×D20—41no—
627C2×D20C2411yescharacteristic
628C2×D20C2411yescharacteristic
629C2×D20C2411yescharacteristic
630C2×D20C2411yescharacteristic
631C2×D20C2411yescharacteristic
632C2×C4×D5—22no—
633C2×C4×D5—22no—
634C2×C4×D5—21no—
635C2×C4×D5—21no—
636C2×C4×D5—21no—
637C2×C4×D5—21no—
638C2×C4×D5—21no—
639C2×C4×D5—21no—
640C2×C4×D5—21no—
641C2×C4×D5—21no—
642C2×C4×D5—21no—
643C2×C4×D5—44no—
644C2×C4×D5C2×D411yescharacteristic
645C2×C4×D5C2×D411yescharacteristic
646C2×C4×D5C2×D411yescharacteristic
647C2×C4×D5C2×D411yescharacteristic
648C2×C4×D5C2×D411yescharacteristic
649C2×C4×D5C2×D411yescharacteristic
650C2×C4×D5C2411yescharacteristic
651C2×C4×D5C2411yescharacteristic
652C2×Dic10—21no—
653C2×Dic10—21no—
654C2×Dic10C2411yescharacteristic
655C5×Q16—41no—
656C5×SD16—41no—
657C5×SD16—41no—
658C5×SD16—41no—
659C5×SD16—41no—
660C5×D8—41no—
661C5×D8—41no—
662C5×D8—41no—
663C2×C5×C8C2411yescharacteristic
664C2×C5×C8C2411yescharacteristic
665C2×C5×C8C2411yescharacteristic
666C2×C5×C8C2411yescharacteristic
667C5×C4⋊C4—21no—
668C5×C4⋊C4—21no—
669C5×C4⋊C4—21no—
670C5×C4⋊C4C2×D411yescharacteristic
671C5×C4⋊C4C2×D411yescharacteristic
672C5×C4⋊C4C2411yescharacteristic
673C5×C4⋊C4C2411yescharacteristic
674C5×C22⋊C4—21no—
675C5×C22⋊C4—21no—
676C5×C22⋊C4—21no—
677C5×C22⋊C4—21no—
678C5×C22⋊C4—21no—
679C5×C22⋊C4—21no—
680C5×C22⋊C4—21no—
681C5×C22⋊C4—21no—
682C5×C22⋊C4—21no—
683C5×C22⋊C4C2×D411yescharacteristic
684C5×C22⋊C4C2×D411yescharacteristic
685C42×C5—21no—
686C42×C5C2411yescharacteristic
687C42×C5C2411yescharacteristic
688C22⋊Dic5—21no—
689C22⋊Dic5—21no—
690C22⋊Dic5—21no—
691C22⋊Dic5—21no—
692C22⋊Dic5—21no—
693C22⋊Dic5—21no—
694C22⋊Dic5C2×D411yescharacteristic
695C22⋊Dic5C2×D411yescharacteristic
696#689—41no—
697#688—41no—
698#688—41no—
699#688—41no—
700#688—41no—
701#688—41no—
702#687—41no—
703#686—41no—
704#686—41no—
705#686—41no—
706#686—41no—
707#686—41no—
708#686—41no—
709#686—41no—
710#686—41no—
711#686—41no—
712#685—21no—
713#685—21no—
714#685—21no—
715#685—21no—
716#685—21no—
717#685—21no—
718#685—21no—
719#685—21no—
720#685—21no—
721#685—21no—
722#685—21no—
723#685—21no—
724#685—21no—
725#685—21no—
726#685—21no—
727#685—21no—
728#685—21no—
729#685—21no—
730#685—21no—
731#685—21no—
732#685C2×D411yescharacteristic
733#685C2×D411yescharacteristic
734#685C2×D411yescharacteristic
735#685C2×D411yescharacteristic
736C4⋊Dic5—21no—
737C4⋊Dic5—21no—
738C4⋊Dic5C2×D411yescharacteristic
739C4⋊Dic5C2×D411yescharacteristic
740C4⋊Dic5C2411yescharacteristic
741C4⋊Dic5C2411yescharacteristic
742#683—21no—
743#683—21no—
744#683—21no—
745#683—21no—
746#683—21no—
747#683—21no—
748#683C2×D411yescharacteristic
749#683C2×D411yescharacteristic
750#683C2×D411yescharacteristic
751#683C2×D411yescharacteristic
752C4×Dic5—21no—
753C4×Dic5—21no—
754C4×Dic5C2×D411yescharacteristic
755C4×Dic5C2×D411yescharacteristic
756C4×Dic5C2×D411yescharacteristic
757C4×Dic5C2×D411yescharacteristic
758C4×Dic5C2411yescharacteristic
759C4×Dic5C2411yescharacteristic
760C2×#168C2411yescharacteristic
761C2×#168C2411yescharacteristic
762C2×#168C2411yescharacteristic
763C2×#168C2411yescharacteristic
764D40—41no—
765D40—41no—
766D40—41no—
767D40—41no—
768D40—41no—
769D40—41no—
770#677—41no—
771#677—41no—
772#676—22no—
773#676—22no—
774C8×D5—22no—
775C8×D5—22no—
776C22×#41—51no—
777C23×D4—51no—
778C2×AGL(1,ℤ/8)—51no—
779C2×AGL(1,ℤ/8)—51no—
780C2×AGL(1,ℤ/8)—51no—
781C2×AGL(1,ℤ/8)—51no—
782C2×#135—51no—
783C2×#135—51no—
784C22×D8—51no—
785C22×D8—51no—
786#555—101no—
787#553—101no—
788#553—101no—
789#551—101no—
790#551—101no—
791#547—101no—
792#546—101no—
793#546—101no—
794#544—51no—
795#542—51no—
796#542C2×D511yescharacteristic, complemented
797#540—51no—
798#540—51no—
799#535—51no—
800#535—51no—
801#535—51no—
802#535—51no—
803#535—51no—
804#535—51no—
805#535—51no—
806#535—51no—
807#535—101no—
808#535—101no—
809#535—101no—
810#535—101no—
811#535C2×D511yescharacteristic, complemented
812#532—51no—
813#532—51no—
814C2×#127—51no—
815C2×#127—51no—
816#529—51no—
817#529—51no—
818C2×#124—51no—
819C2×#124—51no—
820#525—51no—
821C2×#121—51no—
822C2×#121—101no—
823C2×#121—101no—
824C2×#120—101no—
825C2×#120—101no—
826#520—51no—
827#518—51no—
828C2×#117—51no—
829#496—51no—
830#496—51no—
831#496—51no—
832#496—51no—
833#496—51no—
834#496—51no—
835#496—51no—
836#496C2×D511yescharacteristic, complemented
837#495—51no—
838#495—51no—
839#495—51no—
840#495C2×D511yescharacteristic, complemented
841#493—51no—
842#493—51no—
843#493—51no—
844#493—51no—
845#490—51no—
846#490—51no—
847#490—51no—
848#490—51no—
849#489—51no—
850#489—51no—
851#489—51no—
852#489C2×D511yescharacteristic, complemented
853#488—51no—
854#488—51no—
855#488—51no—
856#488—51no—
857#486—51no—
858#486—51no—
859#486—51no—
860#486C2×D511yescharacteristic, complemented
861#464—51no—
862#464—51no—
863#464—51no—
864#464C2×D511yescharacteristic, complemented
865#463—51no—
866#463—51no—
867#463—51no—
868#463—51no—
869#463—51no—
870#463—51no—
871#463—51no—
872#463—51no—
873#463—51no—
874#463—51no—
875#463—51no—
876#463C2×D511yescharacteristic, complemented
877#460—51no—
878#460—51no—
879#460—51no—
880#460C2×D511yescharacteristic, complemented
881#459—51no—
882#459—51no—
883#459—51no—
884#459—51no—
885#459—51no—
886#459—51no—
887#459—51no—
888#459—51no—
889#459—51no—
890#459—51no—
891#459—51no—
892#459C2×D511yescharacteristic, complemented
893#452—51no—
894#452C2×D511yescharacteristic, complemented
895#451—51no—
896#450—51no—
897#450—51no—
898#450—51no—
899#450—51no—
900#450C2×D511yescharacteristic, complemented
901#449—51no—
902#449—51no—
903#449—51no—
904#449—51no—
905#449—51no—
906#449C2×D511yescharacteristic, complemented
907#448—51no—
908#448—51no—
909#448—51no—
910#447—51no—
911#447—51no—
912#447—51no—
913#447—51no—
914#447—51no—
915#447—51no—
916#447—51no—
917#447—51no—
918#447—51no—
919#447—51no—
920#447—51no—
921#447—51no—
922#447—51no—
923#447—51no—
924#447C2×D511yescharacteristic, complemented
925#433—51no—
926#433—51no—
927#433—51no—
928#433C2×D511yescharacteristic, complemented
929#432—51no—
930#432—51no—
931#431—51no—
932#431—51no—
933#424—51no—
934#424—51no—
935#418—51no—
936#418—51no—
937#417—51no—
938#417—51no—
939#416—51no—
940#416—51no—
941C2×#102—51no—
942C2×#102—51no—
943#407—51no—
944C2×C22⋊C8—51no—
945#405—51no—
946#405—51no—
947C23×C5—21no—
948C23×C5—21no—
949C23×C5—21no—
950C23×C5—21no—
951C23×C5—42no—
952C23×C5—81no—
953C23×C5—81no—
954C23×C5C22×D411yescharacteristic
955C22×D5—22no—
956C22×D5—22no—
957C22×D5—21no—
958C22×D5—21no—
959C22×D5—21no—
960C22×D5—21no—
961C22×D5—21no—
962C22×D5—41no—
963C22×D5—42no—
964C22×D5—42no—
965C22×D5—42no—
966C22×D5—42no—
967C22×D5—42no—
968C22×D5—42no—
969C22×D5—42no—
970C22×D5—42no—
971C22×D5—42no—
972C22×D5—42no—
973C22×D5—42no—
974C22×D5—42no—
975C22×D5—42no—
976C22×D5—81no—
977C22×D5—81no—
978C22×D5—81no—
979C22×D5—81no—
980C22×D5—81no—
981C22×D5—81no—
982C22×D5—81no—
983C22×D5—81no—
984C22×D5—816no—
985C22×D5C22×D411yescharacteristic
986C22×D5C22×D411yescharacteristic
987C5×Q8—21no—
988C5×Q8—21no—
989C5×Q8—21no—
990C5×Q8—21no—
991C5×Q8—81no—
992C5×D4—21no—
993C5×D4—21no—
994C5×D4—21no—
995C5×D4—21no—
996C5×D4—21no—
997C5×D4—21no—
998C5×D4—21no—
999C5×D4—21no—
1000C5×D4—42no—
1001C5×D4—42no—
1002C5×D4—81no—
1003C5×D4—81no—
1004C5×D4—81no—
1005C5×D4—81no—
1006C5×D4—81no—
1007C2×C4×C5—21no—
1008C2×C4×C5—21no—
1009C2×C4×C5—21no—
1010C2×C4×C5—21no—
1011C2×C4×C5—21no—
1012C2×C4×C5—21no—
1013C2×C4×C5—42no—
1014C2×C4×C5—81no—
1015C2×C4×C5C22×D411yescharacteristic
1016C2×C4×C5C22×D411yescharacteristic
1017C2×C4×C5C22×D411yescharacteristic
1018C2×C4×C5C22×D411yescharacteristic
1019C2×C4×C5C22×D411yescharacteristic
1020C2×C4×C5C2511yescharacteristic
1021C22⋊D5—42no—
1022C22⋊D5—42no—
1023C22⋊D5—42no—
1024C22⋊D5—42no—
1025C22⋊D5—42no—
1026C22⋊D5—42no—
1027C22⋊D5—42no—
1028C22⋊D5—42no—
1029C22⋊D5—42no—
1030C22⋊D5—81no—
1031C22⋊D5—81no—
1032C22⋊D5—81no—
1033C22⋊D5—81no—
1034C22⋊D5—81no—
1035C22⋊D5—81no—
1036C22⋊D5—81no—
1037C22⋊D5—81no—
1038C22⋊D5—81no—
1039C22⋊D5—81no—
1040C22⋊D5—81no—
1041C22⋊D5—81no—
1042C2×Dic5—22no—
1043C2×Dic5—21no—
1044C2×Dic5—21no—
1045C2×Dic5—21no—
1046C2×Dic5—42no—
1047C2×Dic5—81no—
1048C2×Dic5C22×D411yescharacteristic
1049C2×Dic5C22×D411yescharacteristic
1050C2×Dic5C22×D411yescharacteristic
1051C2×Dic5C22×D411yescharacteristic
1052C2×Dic5C22×D411yescharacteristic
1053C2×Dic5C22×D411yescharacteristic
1054D20—21no—
1055D20—21no—
1056D20—21no—
1057D20—21no—
1058D20—21no—
1059D20—21no—
1060D20—21no—
1061D20—21no—
1062D20—21no—
1063D20—21no—
1064D20—42no—
1065D20—42no—
1066D20—42no—
1067D20—42no—
1068D20—42no—
1069D20—81no—
1070D20—81no—
1071D20—81no—
1072D20—81no—
1073D20—81no—
1074D20—81no—
1075C4×D5—22no—
1076C4×D5—22no—
1077C4×D5—22no—
1078C4×D5—21no—
1079C4×D5—21no—
1080C4×D5—22no—
1081C4×D5—41no—
1082C4×D5—41no—
1083C4×D5—42no—
1084C4×D5—42no—
1085C4×D5—42no—
1086C4×D5—42no—
1087C4×D5—81no—
1088C4×D5—81no—
1089C4×D5—81no—
1090C4×D5—81no—
1091C4×D5—81no—
1092C4×D5H(5,𝔽2)12yes—
1093C4×D5H(5,𝔽2)12yes—
1094Dic10—21no—
1095Dic10—21no—
1096Dic10—42no—
1097Dic10—81no—
1098C5×C8—21no—
1099C5×C8—21no—
1100C5×C8—21no—
1101C5×C8—21no—
1102#168—21no—
1103#168—21no—
1104#168—21no—
1105#168—21no—
1106C25—101no—
1107C2×#41—51no—
1108C2×#41—51no—
1109C2×#41—51no—
1110C2×#41—51no—
1111C2×#41—101no—
1112C2×#41—101no—
1113C2×#41—101no—
1114C2×#41—101no—
1115C2×#41—202no—
1116C2×#41—202no—
1117C2×#41C22×D511yescharacteristic
1118C22×Q8—51no—
1119C22×D4—51no—
1120C22×D4—51no—
1121C22×D4—51no—
1122C22×D4—51no—
1123C22×D4—51no—
1124C22×D4—51no—
1125C22×D4—51no—
1126C22×D4—101no—
1127C22×D4—101no—
1128C22×D4—101no—
1129C22×D4—101no—
1130C22×D4—101no—
1131C22×D4—101no—
1132C22×D4—101no—
1133C22×D4—101no—
1134C22×D4—101no—
1135C22×D4—202no—
1136C22×D4—202no—
1137C22×D4C22×D511yescharacteristic
1138C23×C4—51no—
1139C23×C4—101no—
1140AGL(1,ℤ/8)—202no—
1141AGL(1,ℤ/8)—202no—
1142AGL(1,ℤ/8)—202no—
1143AGL(1,ℤ/8)—202no—
1144#135—202no—
1145#135—202no—
1146C2×Q16—51no—
1147C2×Q16C22×D511yescharacteristic, complemented
1148C2×SD16—51no—
1149C2×SD16—51no—
1150C2×SD16—51no—
1151C2×SD16—51no—
1152C2×SD16—51no—
1153C2×SD16—51no—
1154C2×SD16—51no—
1155C2×SD16—51no—
1156C2×SD16C22×D511yescharacteristic
1157C2×SD16C22×D511yescharacteristic
1158C2×SD16C22×D511yescharacteristic, complemented
1159C2×SD16C22×D511yescharacteristic, complemented
1160C2×D8—51no—
1161C2×D8—51no—
1162C2×D8—51no—
1163C2×D8—51no—
1164C2×D8—51no—
1165C2×D8—51no—
1166C2×D8—51no—
1167C2×D8—51no—
1168C2×D8—51no—
1169C2×D8—51no—
1170C2×D8—51no—
1171C2×D8—51no—
1172C2×D8—51no—
1173C2×D8—51no—
1174C2×D8—51no—
1175C2×D8—202no—
1176C2×D8—202no—
1177C2×D8C22×D511yescharacteristic
1178C2×D8C22×D511yescharacteristic
1179C2×D8C22×D511yescharacteristic, complemented
1180C2×M16—51no—
1181C2×M16—51no—
1182C22×C8—51no—
1183C22×C8—51no—
1184C4⋊Q8—51no—
1185C4⋊Q8—101no—
1186C4⋊Q8C22×D511yescharacteristic, complemented
1187#127—51no—
1188#127—51no—
1189#127—51no—
1190#127—51no—
1191#127—51no—
1192#127—51no—
1193#127—51no—
1194#127—51no—
1195#127—101no—
1196#127—101no—
1197#127—101no—
1198#127—101no—
1199#127C22×D511yescharacteristic
1200#127C22×D511yescharacteristic
1201#126—21no—
1202#126—101no—
1203#126—101no—
1204#126—101no—
1205#125—51no—
1206#125—51no—
1207#125—101no—
1208#124—21no—
1209#124—51no—
1210#124—51no—
1211#124—51no—
1212#124—51no—
1213#124—51no—
1214#124—51no—
1215#124—51no—
1216#124—101no—
1217#124—101no—
1218#124—101no—
1219#124—101no—
1220#124—101no—
1221#124—101no—
1222#124—101no—
1223#124C22×D511yescharacteristic
1224#124C22×D511yescharacteristic
1225#124C22×D511yescharacteristic, complemented
1226#123—21no—
1227#123—101no—
1228#123—101no—
1229#123—101no—
1230#123—101no—
1231#123—101no—
1232#123—101no—
1233#123—101no—
1234#123—101no—
1235C22⋊Q8—21no—
1236C22⋊Q8—51no—
1237C22⋊Q8—101no—
1238C22⋊Q8—101no—
1239C22⋊Q8—101no—
1240C22⋊Q8C22×D511yescharacteristic
1241#121—21no—
1242#121—21no—
1243#121—51no—
1244#121—51no—
1245#121—51no—
1246#121—51no—
1247#121—51no—
1248#121—101no—
1249#121—101no—
1250#121—101no—
1251#121—101no—
1252#121—101no—
1253#121—101no—
1254#121—101no—
1255#121—101no—
1256#121—101no—
1257#121—101no—
1258#121—101no—
1259#121—101no—
1260#121—101no—
1261#121—101no—
1262#121—101no—
1263#121—101no—
1264#121—101no—
1265#121—101no—
1266#121—101no—
1267#121—101no—
1268#121—101no—
1269#121—101no—
1270#121—101no—
1271#121—101no—
1272#121C22×D511yescharacteristic
1273#120—21no—
1274#120—21no—
1275#120—101no—
1276#120—101no—
1277#120—101no—
1278#120—101no—
1279#120—101no—
1280#120—101no—
1281#120—101no—
1282#120—101no—
1283#120—101no—
1284#120—101no—
1285#120—101no—
1286#120—101no—
1287#120—101no—
1288#120—101no—
1289#120—101no—
1290#120—101no—
1291#120—101no—
1292C4×Q8—51no—
1293C4×Q8C22×D511yescharacteristic, complemented
1294C4×D4—51no—
1295C4×D4—51no—
1296C4×D4—51no—
1297C4×D4—51no—
1298C4×D4—51no—
1299C4×D4—101no—
1300C4×D4—101no—
1301C4×D4—101no—
1302C4×D4—101no—
1303C4×D4—101no—
1304C4×D4—101no—
1305C4×D4—101no—
1306C4×D4—101no—
1307C4×D4—101no—
1308C4×D4—101no—
1309C4×D4C22×D511yescharacteristic, complemented
1310#117—51no—
1311#117—51no—
1312#117—51no—
1313#117—51no—
1314#117—51no—
1315#117—51no—
1316#117—51no—
1317#117—51no—
1318#117—101no—
1319#117—101no—
1320#117—101no—
1321#117C22×D511yescharacteristic
1322C2×C4⋊C4—51no—
1323C2×C4⋊C4—51no—
1324C2×C4⋊C4—51no—
1325C2×C4⋊C4—101no—
1326C2×C22⋊C4—51no—
1327C2×C22⋊C4—51no—
1328C2×C22⋊C4—101no—
1329C2×C22⋊C4—101no—
1330C2×C22⋊C4—101no—
1331C2×C22⋊C4—101no—
1332C2×C22⋊C4—101no—
1333C2×C22⋊C4—101no—
1334C2×C22⋊C4—101no—
1335C2×C42—51no—
1336C2×C42—51no—
1337C4⋊C8—51no—
1338C4⋊C8—51no—
1339C4⋊C8—51no—
1340C4⋊C8—51no—
1341C4⋊C8—51no—
1342C4⋊C8—51no—
1343C4⋊C8C22×D511yescharacteristic, complemented
1344C4⋊C8C22×D511yescharacteristic, complemented
1345#103—51no—
1346#103—51no—
1347#103—51no—
1348#103—51no—
1349#103—51no—
1350#103—51no—
1351#103C22×D511yescharacteristic, complemented
1352#103C22×D511yescharacteristic, complemented
1353#102—51no—
1354#102—51no—
1355#102—51no—
1356#102—51no—
1357#102—51no—
1358#102—51no—
1359#102—51no—
1360#102—51no—
1361#102—51no—
1362#102—51no—
1363#102—51no—
1364#102—51no—
1365#102—51no—
1366#102—51no—
1367#102—51no—
1368#102—51no—
1369#102—51no—
1370#102—51no—
1371#102C22×D511yescharacteristic
1372#102C22×D511yescharacteristic
1373#102C22×D511yescharacteristic
1374#102C22×D511yescharacteristic
1375#102C22×D511yescharacteristic, complemented
1376#102C22×D511yescharacteristic, complemented
1377C22⋊C8—51no—
1378C22⋊C8—51no—
1379C22⋊C8—51no—
1380C22⋊C8—51no—
1381C22⋊C8—51no—
1382C22⋊C8—51no—
1383C22⋊C8C22×D511yescharacteristic
1384C22⋊C8C22×D511yescharacteristic
1385#97—51no—
1386#97—51no—
1387#97—51no—
1388#97C22×D511yescharacteristic, complemented
1389C4×C8—51no—
1390C4×C8—51no—
1391C4×C8—51no—
1392C4×C8C22×D511yescharacteristic, complemented
1393C22×C5—21no—
1394C22×C5—21no—
1395C22×C5—21no—
1396C22×C5—41no—
1397C22×C5—41no—
1398C22×C5—41no—
1399C22×C5—41no—
1400C22×C5—41no—
1401C22×C5—41no—
1402C22×C5—41no—
1403C22×C5—41no—
1404C22×C5—41no—
1405C22×C5—41no—
1406C22×C5—41no—
1407C22×C5—41no—
1408C22×C5—84no—
1409C22×C5C23×D411yescharacteristic
1410C2×D5—21no—
1411C2×D5—21no—
1412C2×D5—21no—
1413C2×D5—21no—
1414C2×D5—44no—
1415C2×D5—41no—
1416C2×D5—41no—
1417C2×D5—41no—
1418C2×D5—41no—
1419C2×D5—41no—
1420C2×D5—41no—
1421C2×D5—41no—
1422C2×D5—41no—
1423C2×D5—41no—
1424C2×D5—41no—
1425C2×D5—41no—
1426C2×D5—41no—
1427C2×D5—41no—
1428C2×D5—41no—
1429C2×D5—41no—
1430C2×D5—84no—
1431C2×D5—84no—
1432C2×D5—84no—
1433C2×D5—84no—
1434C2×D5—84no—
1435C2×D5—84no—
1436C2×D5—162no—
1437C2×D5#53512yes—
1438C2×D5#57612yes—
1439C4×C5—21no—
1440C4×C5—21no—
1441C4×C5—21no—
1442C4×C5—21no—
1443C4×C5—21no—
1444C4×C5—41no—
1445C4×C5—41no—
1446C4×C5—41no—
1447C4×C5—41no—
1448C4×C5C2×H(5,𝔽2)11yescharacteristic
1449C4×C5C2×H(5,𝔽2)11yescharacteristic
1450Dic5—21no—
1451Dic5—21no—
1452Dic5—21no—
1453Dic5—21no—
1454Dic5—21no—
1455Dic5—41no—
1456Dic5—41no—
1457Dic5—41no—
1458Dic5#53512yes—
1459C24—21no—
1460C24—51no—
1461C24—101no—
1462C24—101no—
1463C24—101no—
1464C24—101no—
1465C24—101no—
1466C24—101no—
1467C24—101no—
1468C24—204no—
1469C24—402no—
1470C24—402no—
1471#41—41no—
1472#41—41no—
1473#41—102no—
1474#41—102no—
1475#41—102no—
1476#41—102no—
1477#41—102no—
1478#41—102no—
1479#41—201no—
1480#41—201no—
1481#41—204no—
1482#41—204no—
1483#41—402no—
1484#41—402no—
1485C2×Q8—21no—
1486C2×Q8—51no—
1487C2×Q8—101no—
1488C2×Q8—101no—
1489C2×Q8—201no—
1490C2×Q8—201no—
1491C2×Q8C23×D511yescharacteristic
1492C2×Q8C23×D511yescharacteristic
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—41no—
1501C2×D4—41no—
1502C2×D4—51no—
1503C2×D4—51no—
1504C2×D4—51no—
1505C2×D4—51no—
1506C2×D4—51no—
1507C2×D4—101no—
1508C2×D4—101no—
1509C2×D4—101no—
1510C2×D4—101no—
1511C2×D4—102no—
1512C2×D4—102no—
1513C2×D4—102no—
1514C2×D4—102no—
1515C2×D4—102no—
1516C2×D4—102no—
1517C2×D4—101no—
1518C2×D4—101no—
1519C2×D4—101no—
1520C2×D4—101no—
1521C2×D4—101no—
1522C2×D4—101no—
1523C2×D4—101no—
1524C2×D4—101no—
1525C2×D4—101no—
1526C2×D4—101no—
1527C2×D4—101no—
1528C2×D4—101no—
1529C2×D4—101no—
1530C2×D4—101no—
1531C2×D4—101no—
1532C2×D4—101no—
1533C2×D4—101no—
1534C2×D4—101no—
1535C2×D4—101no—
1536C2×D4—101no—
1537C2×D4—101no—
1538C2×D4—101no—
1539C2×D4—101no—
1540C2×D4—101no—
1541C2×D4—101no—
1542C2×D4—101no—
1543C2×D4—101no—
1544C2×D4—101no—
1545C2×D4—201no—
1546C2×D4—201no—
1547C2×D4—201no—
1548C2×D4—201no—
1549C2×D4—201no—
1550C2×D4—201no—
1551C2×D4—201no—
1552C2×D4—201no—
1553C2×D4—204no—
1554C2×D4—204no—
1555C2×D4—204no—
1556C2×D4—204no—
1557C2×D4—402no—
1558C2×D4—402no—
1559C2×D4—402no—
1560C2×D4—402no—
1561C2×D4—402no—
1562C2×D4C23×D511yescharacteristic
1563C2×D4C23×D511yescharacteristic
1564C2×D4C23×D511yescharacteristic
1565C2×D4C23×D511yescharacteristic
1566C22×C4—21no—
1567C22×C4—21no—
1568C22×C4—51no—
1569C22×C4—51no—
1570C22×C4—51no—
1571C22×C4—51no—
1572C22×C4—51no—
1573C22×C4—51no—
1574C22×C4—51no—
1575C22×C4—51no—
1576C22×C4—51no—
1577C22×C4—102no—
1578C22×C4—102no—
1579C22×C4—101no—
1580C22×C4—101no—
1581C22×C4—101no—
1582C22×C4—101no—
1583C22×C4—101no—
1584C22×C4—101no—
1585C22×C4—101no—
1586C22×C4—101no—
1587C22×C4—101no—
1588C22×C4—101no—
1589C22×C4—101no—
1590C22×C4—204no—
1591C22×C4C23×D511yescharacteristic
1592Q16—41no—
1593Q16—201no—
1594SD16—41no—
1595SD16—41no—
1596SD16—41no—
1597SD16—41no—
1598SD16—201no—
1599SD16—201no—
1600SD16—201no—
1601SD16—201no—
1602SD16—201no—
1603SD16—201no—
1604SD16—201no—
1605SD16—201no—
1606D8—41no—
1607D8—41no—
1608D8—41no—
1609D8—201no—
1610D8—201no—
1611D8—201no—
1612D8—201no—
1613D8—201no—
1614D8—201no—
1615D8—201no—
1616D8—201no—
1617D8—201no—
1618D8—201no—
1619D8—201no—
1620D8—201no—
1621D8—201no—
1622D8—201no—
1623D8—201no—
1624M16—102no—
1625M16—102no—
1626C2×C8—51no—
1627C2×C8—51no—
1628C2×C8—51no—
1629C2×C8—51no—
1630C2×C8—102no—
1631C2×C8—102no—
1632C2×C8C23×D511yescharacteristic
1633C2×C8C23×D511yescharacteristic
1634C2×C8C23×D511yescharacteristic
1635C2×C8C23×D511yescharacteristic
1636C4⋊C4—21no—
1637C4⋊C4—21no—
1638C4⋊C4—21no—
1639C4⋊C4—51no—
1640C4⋊C4—51no—
1641C4⋊C4—51no—
1642C4⋊C4—51no—
1643C4⋊C4—51no—
1644C4⋊C4—51no—
1645C4⋊C4—51no—
1646C4⋊C4—51no—
1647C4⋊C4—101no—
1648C4⋊C4—101no—
1649C4⋊C4—101no—
1650C4⋊C4—101no—
1651C4⋊C4—101no—
1652C4⋊C4—101no—
1653C4⋊C4—101no—
1654C4⋊C4—101no—
1655C4⋊C4D4×D511yescharacteristic
1656C4⋊C4D4×D511yescharacteristic
1657C4⋊C4C23×D511yescharacteristic
1658C4⋊C4C23×D511yescharacteristic
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—51no—
1669C22⋊C4—51no—
1670C22⋊C4—51no—
1671C22⋊C4—51no—
1672C22⋊C4—51no—
1673C22⋊C4—51no—
1674C22⋊C4—101no—
1675C22⋊C4—101no—
1676C22⋊C4—101no—
1677C22⋊C4—101no—
1678C22⋊C4—101no—
1679C22⋊C4—101no—
1680C22⋊C4—101no—
1681C22⋊C4—101no—
1682C22⋊C4—101no—
1683C22⋊C4—101no—
1684C22⋊C4—101no—
1685C22⋊C4—101no—
1686C22⋊C4—101no—
1687C22⋊C4—101no—
1688C22⋊C4—101no—
1689C22⋊C4—101no—
1690C22⋊C4—101no—
1691C22⋊C4—101no—
1692C22⋊C4—101no—
1693C22⋊C4—101no—
1694C22⋊C4—101no—
1695C22⋊C4—101no—
1696C22⋊C4—101no—
1697C22⋊C4—101no—
1698C22⋊C4—101no—
1699C22⋊C4—101no—
1700C22⋊C4D4×D511yescharacteristic
1701C22⋊C4D4×D511yescharacteristic
1702C42—21no—
1703C42—51no—
1704C42—51no—
1705C42—51no—
1706C42—51no—
1707C42—51no—
1708C42—51no—
1709C42—101no—
1710C42—101no—
1711C42C23×D511yescharacteristic
1712C42C23×D511yescharacteristic
1713C2×C5—41no—
1714C2×C5—81no—
1715C2×C5—81no—
1716C2×C5—81no—
1717C2×C5—81no—
1718C2×C5C2×#53511yescharacteristic
1719C2×C5C2×#57611yescharacteristic
1720C2×C5#358511yescharacteristic
1721D5—22no—
1722D5—22no—
1723D5—81no—
1724D5—81no—
1725D5—81no—
1726D5—81no—
1727D5—81no—
1728C23—21no—
1729C23—21no—
1730C23—21no—
1731C23—21no—
1732C23—42no—
1733C23—51no—
1734C23—51no—
1735C23—81no—
1736C23—81no—
1737C23—102no—
1738C23—102no—
1739C23—101no—
1740C23—101no—
1741C23—101no—
1742C23—101no—
1743C23—101no—
1744C23—201no—
1745C23—202no—
1746C23—202no—
1747C23—202no—
1748C23—202no—
1749C23—202no—
1750C23—202no—
1751C23—202no—
1752C23—202no—
1753C23—202no—
1754C23—202no—
1755C23—202no—
1756C23—202no—
1757C23—202no—
1758C23—401no—
1759C23—401no—
1760C23—401no—
1761C23—401no—
1762C23—401no—
1763C23—401no—
1764C23—401no—
1765C23—401no—
1766C23—4016no—
1767C23C2×D4×D511yescharacteristic
1768Q8—21no—
1769Q8—21no—
1770Q8—21no—
1771Q8—21no—
1772Q8—81no—
1773Q8—101no—
1774Q8—101no—
1775Q8—202no—
1776Q8—401no—
1777D4—21no—
1778D4—21no—
1779D4—21no—
1780D4—21no—
1781D4—21no—
1782D4—21no—
1783D4—21no—
1784D4—21no—
1785D4—42no—
1786D4—42no—
1787D4—81no—
1788D4—81no—
1789D4—81no—
1790D4—81no—
1791D4—81no—
1792D4—101no—
1793D4—101no—
1794D4—101no—
1795D4—101no—
1796D4—101no—
1797D4—101no—
1798D4—101no—
1799D4—101no—
1800D4—101no—
1801D4—101no—
1802D4—202no—
1803D4—202no—
1804D4—202no—
1805D4—202no—
1806D4—202no—
1807D4—202no—
1808D4—202no—
1809D4—202no—
1810D4—202no—
1811D4—202no—
1812D4—202no—
1813D4—202no—
1814D4—202no—
1815D4—202no—
1816D4—401no—
1817D4—401no—
1818D4—401no—
1819D4—401no—
1820D4—401no—
1821D4—401no—
1822D4—401no—
1823D4—401no—
1824D4—401no—
1825D4—401no—
1826D4—401no—
1827D4—401no—
1828D4—401no—
1829D4—401no—
1830D4—401no—
1831D4—401no—
1832D4—401no—
1833D4—401no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—42no—
1841C2×C4—51no—
1842C2×C4—52no—
1843C2×C4—52no—
1844C2×C4—51no—
1845C2×C4—51no—
1846C2×C4—51no—
1847C2×C4—51no—
1848C2×C4—51no—
1849C2×C4—81no—
1850C2×C4—102no—
1851C2×C4—102no—
1852C2×C4—102no—
1853C2×C4—102no—
1854C2×C4—102no—
1855C2×C4—101no—
1856C2×C4—101no—
1857C2×C4—101no—
1858C2×C4—101no—
1859C2×C4—101no—
1860C2×C4—201no—
1861C2×C4—201no—
1862C2×C4—202no—
1863C2×C4—202no—
1864C2×C4—202no—
1865C2×C4—202no—
1866C2×C4—202no—
1867C2×C4—401no—
1868C2×C4—401no—
1869C2×C4—401no—
1870C2×C4—401no—
1871C2×C4—401no—
1872C2×C4—401no—
1873C2×C4C2×D4×D511yescharacteristic
1874C2×C4C2×D4×D511yescharacteristic
1875C2×C4C2×D4×D511yescharacteristic
1876C2×C4C2×D4×D511yescharacteristic
1877C2×C4C2×D4×D511yescharacteristic
1878C2×C4C24×D511yescharacteristic
1879C8—21no—
1880C8—21no—
1881C8—21no—
1882C8—21no—
1883C8—101no—
1884C8—101no—
1885C8—101no—
1886C8—101no—
1887C5#6081111yescharacteristic, complemented, Sylow
1888C22—21no—
1889C22—21no—
1890C22—21no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—52no—
1904C22—52no—
1905C22—84no—
1906C22—101no—
1907C22—101no—
1908C22—101no—
1909C22—101no—
1910C22—204no—
1911C22—201no—
1912C22—201no—
1913C22—201no—
1914C22—201no—
1915C22—201no—
1916C22—201no—
1917C22—201no—
1918C22—201no—
1919C22—201no—
1920C22—201no—
1921C22—201no—
1922C22—201no—
1923C22—201no—
1924C22—201no—
1925C22—201no—
1926C22—404no—
1927C22—404no—
1928C22—404no—
1929C22—404no—
1930C22—404no—
1931C22—404no—
1932C22—802no—
1933C22C22×D4×D511yescharacteristic
1934C4—21no—
1935C4—21no—
1936C4—21no—
1937C4—21no—
1938C4—21no—
1939C4—41no—
1940C4—41no—
1941C4—41no—
1942C4—41no—
1943C4—52no—
1944C4—101no—
1945C4—101no—
1946C4—101no—
1947C4—101no—
1948C4—101no—
1949C4—201no—
1950C4—201no—
1951C4—201no—
1952C4D5×H(5,𝔽2)11yescharacteristic
1953C4D5×H(5,𝔽2)11yescharacteristic
1954C2—41no—
1955C2—81no—
1956C2—81no—
1957C2—81no—
1958C2—81no—
1959C2—102no—
1960C2—102no—
1961C2—401no—
1962C2—401no—
1963C2—401no—
1964C2—401no—
1965C2—401no—
1966C2D5×#53511yescharacteristic
1967C2D5×#57611yescharacteristic
1968C2#1061910811yescharacteristic
subgroupG/H
centerC22C22×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC5×#3224C2
socleC22×C5C23×D4
hypercenter#3224D5
hypocenterC5#60811
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #10618451C2semidirect
2. D5×#535C2semidirect
3. C5×#3224C2semidirect
4. #10615194C2semidirect
5. #10615119C2semidirect
6. #10613582C2semidirect
7. #10613579C2semidirect
8. #10613556C2semidirect
9. #10613554C2semidirect
10. #10613415C2semidirect
11. #10613411C2semidirect
12. #10613297C2semidirect
13. #10613294C2semidirect
14. #10612336C2semidirect
15. #10612333C2semidirect
16. #10612273C2semidirect
17. #10612267C2semidirect
18. #10612121C2semidirect
19. #10612117C2semidirect
20. #10612067C2semidirect
21. #10612065C2semidirect
22. #10611994C2semidirect
23. #10611957C2semidirect
24. #10611877C2semidirect
25. #10611874C2semidirect
26. #10611849C2semidirect
27. #10611815C2semidirect
28. D5×#447C2semidirect
29. #10611729C2semidirect
30. #10611121C2semidirect
31. #10611105C2semidirect
34. C5×#542C22semidirect
35. C5×#535C22semidirect
36. #66164C22semidirect
37. #66139C22semidirect
38. C2×#4065C22semidirect
39. C2×#4062C22semidirect
40. C2×#4060C22semidirect
41. C2×#4060C22semidirect
42. C2×#4060C22semidirect
43. C2×#4057C22semidirect
44. C2×D5×D8C22semidirect
45. C2×D5×D8C22semidirect
46. #66063C22semidirect
47. #66059C22semidirect
50. D5×#127C22semidirect
51. D5×#127C22semidirect
54. #66014C22semidirect
58. #66008C22semidirect
59. D5×#124C22semidirect
60. D5×#124C22semidirect
64. #65977C22semidirect
68. #65953C22semidirect
78. #65914C22semidirect
79. #65908C22semidirect
80. #65882C22semidirect
81. #65879C22semidirect
82. #65869C22semidirect
83. #65859C22semidirect
85. C5×#496C22semidirect
86. C5×#495C22semidirect
87. C5×#489C22semidirect
88. C5×#486C22semidirect
89. C5×#464C22semidirect
90. C5×#463C22semidirect
91. C5×#460C22semidirect
92. C5×#459C22semidirect
93. C5×#452C22semidirect
94. C5×#450C22semidirect
95. C5×#449C22semidirect
96. C5×#447C22semidirect
97. C5×#433C22semidirect
98. #65527C22semidirect
99. #65527C22semidirect
100. #65506C22semidirect
101. #65506C22semidirect
102. #65480C22semidirect
103. #65475C22semidirect
104. #65474C22semidirect
105. #65465C22semidirect
106. #65465C22semidirect
107. #65465C22semidirect
108. #65459C22semidirect
109. #65458C22semidirect
110. #65458C22semidirect
111. #65458C22semidirect
112. #65457C22semidirect
113. #65455C22semidirect
114. #65454C22semidirect
115. #65452C22semidirect
116. #65452C22semidirect
119. #65445C22semidirect
120. #65443C22semidirect
121. #65442C22semidirect
122. #65440C22semidirect
123. #65440C22semidirect
124. #65439C22semidirect
125. #65439C22semidirect
126. #65378C22semidirect
127. #65377C22semidirect
128. #65362C22semidirect
129. #65361C22semidirect
130. #65361C22semidirect
131. #65360C22semidirect
132. #65348C22semidirect
133. #65347C22semidirect
134. #65347C22semidirect
135. #65346C22semidirect
136. #65346C22semidirect
137. #65345C22semidirect
138. #65336C22semidirect
139. #65335C22semidirect
140. #65326C22semidirect
141. #65325C22semidirect
142. #65317C22semidirect
143. #65316C22semidirect
144. #65305C22semidirect
145. #65304C22semidirect
146. #65289C22semidirect
147. #65133C22semidirect
148. #65133C22semidirect
149. #65132C22semidirect
150. #65132C22semidirect
151. #65128C22semidirect
152. #65128C22semidirect
153. #65124C22semidirect
154. #65122C22semidirect
155. #65108C22semidirect
156. #65108C22semidirect
157. #65095C22semidirect
158. #65095C22semidirect
159. #65093C22semidirect
160. #65092C22semidirect
161. #65089C22semidirect
162. #65084C22semidirect
163. #65076C22semidirect
164. #65076C22semidirect
165. #65075C22semidirect
166. #65075C22semidirect
167. #65075C22semidirect
168. #65075C22semidirect
171. #65062C22semidirect
172. #65062C22semidirect
173. #65062C22semidirect
174. #65062C22semidirect
175. #65061C22semidirect
176. #65060C22semidirect
177. #65059C22semidirect
178. #65059C22semidirect
179. D5×#102C22semidirect
180. D5×#102C22semidirect
181. #65057C22semidirect
182. #65054C22semidirect
183. #65053C22semidirect
184. #65053C22semidirect
185. #65049C22semidirect
186. #65049C22semidirect
187. #65023C22semidirect
188. #65023C22semidirect
189. #65021C22semidirect
190. #65021C22semidirect
193. #65009C22semidirect
194. #65009C22semidirect
195. #65002C22semidirect
196. #65001C22semidirect
197. #64997C22semidirect
198. #64994C22semidirect
199. #64986C22semidirect
200. #64984C22semidirect
201. #64978C22semidirect
202. #64974C22semidirect
238. C2×C5×Q16C23semidirect
241. C2×C5×SD16C23semidirect
242. C2×C5×SD16C23semidirect
245. C2×C5×D8C23semidirect
246. C5×C4⋊Q8C23semidirect
253. C5×#124C23semidirect
262. C4×C5×Q8C23semidirect
263. C4×C5×D4C23semidirect
270. #4093C23semidirect
273. Q8×Dic5C23semidirect
275. C2×#689C23semidirect
278. C2×#688C23semidirect
279. C2×#688C23semidirect
280. C2×#688C23semidirect
289. #4086C23semidirect
308. D4×Dic5C23semidirect
309. C2×#687C23semidirect
316. C2×#686C23semidirect
317. C2×#686C23semidirect
318. C2×#686C23semidirect
339. C2×D40C23semidirect
340. C2×D40C23semidirect
341. C2×#677C23semidirect
342. C2×#677C23semidirect
363. #4039C23semidirect
364. #4039C23semidirect
372. #4036C23semidirect
374. #4034C23semidirect
423. #4020C23semidirect
426. C4×D20C23semidirect
427. C4×D20C23semidirect
434. #4016C23semidirect
435. C5×C4⋊C8C23semidirect
436. C5×C4⋊C8C23semidirect
437. C5×#103C23semidirect
438. C5×#103C23semidirect
443. C5×#102C23semidirect
444. C5×#102C23semidirect
447. C5×#97C23semidirect
448. C4×C5×C8C23semidirect
449. #3967C23semidirect
450. #3967C23semidirect
455. #3964C23semidirect
456. #3964C23semidirect
463. #3953C23semidirect
464. #3953C23semidirect
469. #3948C23semidirect
470. #3948C23semidirect
471. #3947C23semidirect
472. #3947C23semidirect
473. #3946C23semidirect
474. #3946C23semidirect
475. #3946C23semidirect
476. #3946C23semidirect
477. C8×Dic5C23semidirect
478. C8×Dic5C23semidirect
479. #3942C23semidirect
480. #3942C23semidirect
485. #3941C23semidirect
486. #3941C23semidirect
487. C4⋊#168C23semidirect
488. C4⋊#168C23semidirect
489. #3935C23semidirect
490. C4×#168C23semidirect
496. #3224D5semidirect
796. #542C2×D5semidirect
811. #535C2×D5semidirect
836. #496C2×D5semidirect
840. #495C2×D5semidirect
852. #489C2×D5semidirect
860. #486C2×D5semidirect
864. #464C2×D5semidirect
876. #463C2×D5semidirect
880. #460C2×D5semidirect
892. #459C2×D5semidirect
894. #452C2×D5semidirect
900. #450C2×D5semidirect
906. #449C2×D5semidirect
924. #447C2×D5semidirect
928. #433C2×D5semidirect
1147. C2×Q16C22×D5semidirect
1158. C2×SD16C22×D5semidirect
1159. C2×SD16C22×D5semidirect
1179. C2×D8C22×D5semidirect
1186. C4⋊Q8C22×D5semidirect
1225. #124C22×D5semidirect
1293. C4×Q8C22×D5semidirect
1309. C4×D4C22×D5semidirect
1343. C4⋊C8C22×D5semidirect
1344. C4⋊C8C22×D5semidirect
1351. #103C22×D5semidirect
1352. #103C22×D5semidirect
1375. #102C22×D5semidirect
1376. #102C22×D5semidirect
1388. #97C22×D5semidirect
1392. C4×C8C22×D5semidirect
1887. C5#60811semidirect

Maximal subgroups

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

subgroupindex
#106184512
D5×#5352
C5×#32242
#106151942
#106151192
#106135822
#106135792
#106135562
#106135542
#106134152
#106134112
#106132972
#106132942
#106123362
#106123332
#106122732
#106122672
#106121212
#106121172
#106120672
#106120652
#106119942
#106119572
#106118772
#106118742
#106118492
#106118152
D5×#4472
#106117292
#106111212
#106111052
#608115