Finite Group Databasebeta

← #13045000

Subgroups — #13045000

Order 1280.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10618776C211yesmaximal, characteristic
2#10617352C211yesmaximal, characteristic, complemented
3#10617351C211yesmaximal, characteristic, complemented
4#10617350C211yesmaximal, characteristic, complemented
5#10617349C211yesmaximal, characteristic, complemented
6#10617334C211yesmaximal, characteristic, complemented
7#10617333C211yesmaximal, characteristic, complemented
8#10617295C211yesmaximal, characteristic, complemented
9#10617294C211yesmaximal, characteristic, complemented
10#10617293C211yesmaximal, characteristic, complemented
11#10617292C211yesmaximal, characteristic, complemented
12#10617235C211yesmaximal, characteristic, complemented
13#10617234C211yesmaximal, characteristic, complemented
14#10617232C211yesmaximal, characteristic, complemented
15#10617231C211yesmaximal, characteristic, complemented
16#10617231C211yesmaximal, characteristic, complemented
17#10617228C211yesmaximal, characteristic, complemented
18#10617228C211yesmaximal, characteristic, complemented
19#10617227C211yesmaximal, characteristic, complemented
20#10617156C211yesmaximal, characteristic, complemented
21#10617154C211yesmaximal, characteristic, complemented
22#10617144C211yesmaximal, characteristic, complemented
23#10617144C211yesmaximal, characteristic, complemented
24#10617143C211yesmaximal, characteristic, complemented
25#10617136C211yesmaximal, characteristic, complemented
26#10617136C211yesmaximal, characteristic, complemented
27C4×#4131C211yesmaximal, characteristic, complemented
28#10617117C211yesmaximal, characteristic, complemented
29#10617116C211yesmaximal, characteristic, complemented
30#10617088C211yesmaximal, characteristic, complemented
31C2×#65707C211yesmaximal, characteristic, complemented
32C2×#4131C2211yescharacteristic
33C2×#4131C2211yescharacteristic
34C2×#4131C2211yescharacteristic
35C2×#4131C2211yescharacteristic
36C2×#4131C2211yescharacteristic
37C2×#4131C2211yescharacteristic
38C5×#553C411yescharacteristic
39#66040C2211yescharacteristic
40#66040C2211yescharacteristic
41#66036C411yescharacteristic
42#66036C411yescharacteristic
43#66025C2211yescharacteristic
44#66019C411yescharacteristic
45#65998C411yescharacteristic
46#65998C411yescharacteristic
47#65983C2211yescharacteristic
48#65983C2211yescharacteristic
49#65935C411yescharacteristic
50#65935C411yescharacteristic
51#65934C2211yescharacteristic
52#65933C411yescharacteristic
53#65932C411yescharacteristic
54#65930C2211yescharacteristic
55#65930C2211yescharacteristic
56#65930C2211yescharacteristic
57#65893C411yescharacteristic
58#65886C411yescharacteristic
59#65874C411yescharacteristic
60#65874C411yescharacteristic
61C4×#711C2211yescharacteristic
62C4×#711C2211yescharacteristic
63C4×#711C2211yescharacteristic
64C4×#711C2211yescharacteristic
65#65867C411yescharacteristic
66#65856C2211yescharacteristic
67#65848C411yescharacteristic
68C2×#4033C2211yescharacteristic
69#65775C2211yescharacteristic
70#65775C2211yescharacteristic
71#65775C2211yescharacteristic
72#65775C2211yescharacteristic
73#65775C2211yescharacteristic
74#65775C2211yescharacteristic
75#65774C2211yescharacteristic
76#65774C2211yescharacteristic
77#65773C2211yescharacteristic
78#65773C2211yescharacteristic
79#65773C2211yescharacteristic
80#65773C2211yescharacteristic
81#65773C2211yescharacteristic
82#65773C2211yescharacteristic
83#65773C2211yescharacteristic
84#65773C2211yescharacteristic
85D4×#170C2211yescharacteristic
86D4×#170C2211yescharacteristic
87#65759C2211yescharacteristic
88#65758C2211yescharacteristic
89#65758C2211yescharacteristic
90#65758C2211yescharacteristic
91#65757C2211yescharacteristic
92#65757C2211yescharacteristic
93#65754C2211yescharacteristic
94#65754C2211yescharacteristic
95C2×#4004C2211yescharacteristic
96C2×#4004C2211yescharacteristic
97C4×#704C2211yescharacteristic
98C4×#704C2211yescharacteristic
99C4×#704C2211yescharacteristic
100C4×#704C2211yescharacteristic
101C4×#704C2211yescharacteristic
102C4×#704C2211yescharacteristic
103C2×#4002C2211yescharacteristic
104C2×#4002C2211yescharacteristic
105C2×#4002C2211yescharacteristic
106C2×#4002C2211yescharacteristic
107#65748C2211yescharacteristic
108C2×C4⋊#170C2211yescharacteristic
109C2×C4×#170C2211yescharacteristic
110C2×C4×#170C2211yescharacteristic
111#65709C2211yescharacteristic
112#65709C2211yescharacteristic
113#65707C2211yescharacteristic
114#65707C2211yescharacteristic
115#65707C2211yescharacteristic
116#65707C2211yescharacteristic
117#65707C2211yescharacteristic
118#65707C2211yescharacteristic
119#65707C2211yescharacteristic
120#65707C2211yescharacteristic
121#65707C2211yescharacteristic
122#65707C2211yescharacteristic
123#65707C2211yescharacteristic
124#65707C2211yescharacteristic
125#65706C2211yescharacteristic
126#65706C2211yescharacteristic
127#65706C2211yescharacteristic
128#65706C2211yescharacteristic
129#65706C2211yescharacteristic
130#65706C2211yescharacteristic
131#65705C2211yescharacteristic
132#65705C2211yescharacteristic
133#65704C2211yescharacteristic
134#65704C2211yescharacteristic
135#65704C2211yescharacteristic
136#65704C2211yescharacteristic
137#65704C2211yescharacteristic
138#65704C2211yescharacteristic
139#65704C2211yescharacteristic
140#65704C2211yescharacteristic
141#65703C2211yescharacteristic
142#65703C2211yescharacteristic
143#65702C2211yescharacteristic
144#65702C2211yescharacteristic
145#65701C2211yescharacteristic
146#65701C2211yescharacteristic
147#65701C2211yescharacteristic
148#65701C2211yescharacteristic
149#65701C2211yescharacteristic
150#65701C2211yescharacteristic
151#65697C2211yescharacteristic
152#65697C2211yescharacteristic
153#65697C2211yescharacteristic
154#65697C2211yescharacteristic
155#65697C2211yescharacteristic
156#65697C2211yescharacteristic
157#65695C2211yescharacteristic
158#65695C2211yescharacteristic
159#65695C2211yescharacteristic
160#65695C2211yescharacteristic
161#65695C2211yescharacteristic
162#65695C2211yescharacteristic
163#65694C2211yescharacteristic
164#65694C2211yescharacteristic
165#65694C2211yescharacteristic
166#65694C2211yescharacteristic
167#65694C2211yescharacteristic
168#65694C2211yescharacteristic
169#65693C2211yescharacteristic
170#65693C2211yescharacteristic
171#65693C2211yescharacteristic
172#65693C2211yescharacteristic
173#65693C2211yescharacteristic
174#65693C2211yescharacteristic
175#65692C2211yescharacteristic
176#65692C2211yescharacteristic
177#65692C2211yescharacteristic
178#65692C2211yescharacteristic
179#65692C2211yescharacteristic
180#65692C2211yescharacteristic
181#65691C2211yescharacteristic
182#65691C2211yescharacteristic
183#65691C2211yescharacteristic
184#65691C2211yescharacteristic
185#65691C2211yescharacteristic
186#65691C2211yescharacteristic
187#65691C2211yescharacteristic
188#65691C2211yescharacteristic
189#65691C2211yescharacteristic
190#65691C2211yescharacteristic
191#65684C2211yescharacteristic
192#65684C2211yescharacteristic
193#65683C2211yescharacteristic
194#65680C2211yescharacteristic
195#65678C2211yescharacteristic
196#65678C2211yescharacteristic
197C4×#700C2211yescharacteristic
198C4×#700C2211yescharacteristic
199C4×#700C2211yescharacteristic
200#65676C2211yescharacteristic
201#65676C2211yescharacteristic
202C4×D5⋊C8C2211yescharacteristic
203#60219—51nomaximal, Sylow
204C2×#711C2×C411yescharacteristic
205C2×#711C2311yescharacteristic
206C2×#711C2311yescharacteristic
207C2×#711C2311yescharacteristic
208C2×#709C2×C411yescharacteristic
209C22×Dic10C2×C411yescharacteristic
210C2×#704C2311yescharacteristic
211C2×#704C2311yescharacteristic
212C2×#704C2311yescharacteristic
213C2×#704C2311yescharacteristic
214C2×#704C2311yescharacteristic
215C2×#704C2311yescharacteristic
216C2×#704C2311yescharacteristic
217C2×#704C2311yescharacteristic
218C2×#704C2311yescharacteristic
219C2×#704C2311yescharacteristic
220C22×#170C2311yescharacteristic
221C22×#170C2311yescharacteristic
222C22×#170C2311yescharacteristic
223C22×#170C2311yescharacteristic
224C22×#170C2311yescharacteristic
225C22×#170C2311yescharacteristic
226C22×#170C2311yescharacteristic
227C22×#170C2311yescharacteristic
228C22×#170C2311yescharacteristic
229C22×#170C2311yescharacteristic
230#4131—24no—
231#4131—24no—
232#4131—24no—
233#4131—24no—
234#4131—24no—
235#4131—24no—
236C2×#700C2311yescharacteristic
237C2×#700C2311yescharacteristic
238C2×#700C2311yescharacteristic
239C2×#700C2311yescharacteristic
240C2×#700C2311yescharacteristic
241C2×#700C2311yescharacteristic
242C2×D5⋊C8C2311yescharacteristic
243C2×D5⋊C8C2311yescharacteristic
244C2×D5⋊C8C2311yescharacteristic
245C2×D5⋊C8C2311yescharacteristic
246C2×D5⋊C8C2311yescharacteristic
247C2×D5⋊C8C2311yescharacteristic
248C5×#126C2×C411yescharacteristic
249C5×#126C2×C411yescharacteristic
250C5×#125C2×C411yescharacteristic
251C5×#123C2×C411yescharacteristic
252C5×#123C2×C411yescharacteristic
253C5×#121C2×C411yescharacteristic
254C5×#121C2×C411yescharacteristic
255C5×#121C2×C411yescharacteristic
256C5×#121C2×C411yescharacteristic
257C4×C5×D4C2×C411yescharacteristic
258C4×C5×D4C2×C411yescharacteristic
259C4×C5×D4C2×C411yescharacteristic
260C4×C5×D4C2×C411yescharacteristic
261C5×#117C2×C411yescharacteristic
262C2×C5×C4⋊C4C2×C411yescharacteristic
263#4086C2×C411yescharacteristic
264#4086C2×C411yescharacteristic
265#4086C2×C411yescharacteristic
266#4085C2×C411yescharacteristic
267#4085C2×C411yescharacteristic
268#4085C2×C411yescharacteristic
269#4085C2×C411yescharacteristic
270#4085C2×C411yescharacteristic
271#4085C2×C411yescharacteristic
272#4085C2×C411yescharacteristic
273#4085C2×C411yescharacteristic
274#4082C2×C411yescharacteristic
275#4081C2×C411yescharacteristic
276#4081C2×C411yescharacteristic
277D4×Dic5C2×C411yescharacteristic
278D4×Dic5C2×C411yescharacteristic
279D4×Dic5C2×C411yescharacteristic
280D4×Dic5C2311yescharacteristic
281D4×Dic5C2311yescharacteristic
282D4×Dic5C2311yescharacteristic
283#4076C2×C411yescharacteristic
284#4076C2×C411yescharacteristic
285#4076C2×C411yescharacteristic
286#4075C2×C411yescharacteristic
287#4075C2×C411yescharacteristic
288C4×C22⋊D5C2×C411yescharacteristic
289C4×C22⋊D5C2×C411yescharacteristic
290C4×C22⋊D5C2×C411yescharacteristic
291C4×C22⋊D5C2×C411yescharacteristic
292C4×C22⋊D5C2×C411yescharacteristic
293C4×C22⋊D5C2×C411yescharacteristic
294C4×C22⋊D5C2×C411yescharacteristic
295C4×C22⋊D5C2×C411yescharacteristic
296#4070C2×C411yescharacteristic
297C2×#683C2×C411yescharacteristic
298C2×#683C2×C411yescharacteristic
299C2×C4×Dic5C2311yescharacteristic
300C2×C4×Dic5C2311yescharacteristic
301C2×C4×Dic5C2311yescharacteristic
302C2×C4×Dic5C2311yescharacteristic
303C2×C4×Dic5C2311yescharacteristic
304C2×C4×Dic5C2311yescharacteristic
305#4044C2×C411yescharacteristic
306#4044C2×C411yescharacteristic
307#4044C2×C411yescharacteristic
308#4044C2×C411yescharacteristic
309#4043C2×C411yescharacteristic
310#4042C2×C411yescharacteristic
311#4042C2×C411yescharacteristic
312#4041C2×C411yescharacteristic
313#4040C2×C411yescharacteristic
314#4040C2×C411yescharacteristic
315#4040C2×C411yescharacteristic
316#4040C2×C411yescharacteristic
317#4039C2×C411yescharacteristic
318#4039C2311yescharacteristic
319#4039C2311yescharacteristic
320#4039C2311yescharacteristic
321#4038C2×C411yescharacteristic
322#4038C2311yescharacteristic
323#4038C2311yescharacteristic
324#4038C2311yescharacteristic
325#4036C2×C411yescharacteristic
326#4035C2×C411yescharacteristic
327#4035C2×C411yescharacteristic
328#4035C2×C411yescharacteristic
329#4035C2×C411yescharacteristic
330#4034C2×C411yescharacteristic
331#4034C2×C411yescharacteristic
332#4034C2×C411yescharacteristic
333#4033C2×C411yescharacteristic
334#4033C2×C411yescharacteristic
335#4033C2×C411yescharacteristic
336#4033C2×C411yescharacteristic
337#4033C2×C411yescharacteristic
338#4033C2×C411yescharacteristic
339#4033C2×C411yescharacteristic
340#4033C2×C411yescharacteristic
341#4033C2311yescharacteristic
342#4033C2311yescharacteristic
343#4033C2311yescharacteristic
344#4033C2311yescharacteristic
345#4031C2×C411yescharacteristic
346#4031C2×C411yescharacteristic
347#4031C2×C411yescharacteristic
348#4031C2×C411yescharacteristic
349#4031C2×C411yescharacteristic
350#4031C2×C411yescharacteristic
351#4031C2×C411yescharacteristic
352#4031C2×C411yescharacteristic
353#4031C2×C411yescharacteristic
354#4031C2×C411yescharacteristic
355#4030C2×C411yescharacteristic
356#4030C2×C411yescharacteristic
357#4029C2×C411yescharacteristic
358#4029C2×C411yescharacteristic
359#4027C2×C411yescharacteristic
360#4027C2×C411yescharacteristic
361#4027C2×C411yescharacteristic
362#4027C2×C411yescharacteristic
363#4027C2×C411yescharacteristic
364#4027C2×C411yescharacteristic
365#4027C2×C411yescharacteristic
366#4027C2×C411yescharacteristic
367#4027C2311yescharacteristic
368#4027C2311yescharacteristic
369#4027C2311yescharacteristic
370#4027C2311yescharacteristic
371#4027C2311yescharacteristic
372#4027C2311yescharacteristic
373#4025C2×C411yescharacteristic
374#4025C2×C411yescharacteristic
375#4025C2×C411yescharacteristic
376#4025C2×C411yescharacteristic
377#4024C2×C411yescharacteristic
378#4024C2×C411yescharacteristic
379#4023C2×C411yescharacteristic
380#4023C2×C411yescharacteristic
381#4023C2311yescharacteristic
382#4023C2311yescharacteristic
383#4023C2311yescharacteristic
384#4023C2311yescharacteristic
385#4022C2×C411yescharacteristic
386#4022C2×C411yescharacteristic
387#4021C2×C411yescharacteristic
388#4018C2×C411yescharacteristic
389#4018C2×C411yescharacteristic
390C42×D5C2311yescharacteristic
391C42×D5C2311yescharacteristic
392C42×D5C2311yescharacteristic
393C4×Dic10C2×C411yescharacteristic
394C4×Dic10C2×C411yescharacteristic
395C4×Dic10C2×C411yescharacteristic
396C4×Dic10C2×C411yescharacteristic
397C22⋊#170C2311yescharacteristic
398C22⋊#170C2311yescharacteristic
399C22⋊#170C2311yescharacteristic
400C22⋊#170C2311yescharacteristic
401C22⋊#170C2311yescharacteristic
402C22⋊#170C2311yescharacteristic
403C22⋊#170C2311yescharacteristic
404C22⋊#170C2311yescharacteristic
405C22⋊#170C2311yescharacteristic
406C22⋊#170C2311yescharacteristic
407C22⋊#170C2311yescharacteristic
408C22⋊#170C2311yescharacteristic
409#4004C2311yescharacteristic
410#4004C2311yescharacteristic
411#4004C2311yescharacteristic
412#4004C2311yescharacteristic
413#4004C2311yescharacteristic
414#4004C2311yescharacteristic
415#4004C2311yescharacteristic
416#4004C2311yescharacteristic
417#4004C2311yescharacteristic
418#4004C2311yescharacteristic
419#4004C2311yescharacteristic
420#4004C2311yescharacteristic
421#4004C2311yescharacteristic
422#4004C2311yescharacteristic
423#4003C2311yescharacteristic
424#4003C2311yescharacteristic
425#4003C2311yescharacteristic
426#4003C2311yescharacteristic
427#4003C2311yescharacteristic
428#4003C2311yescharacteristic
429#4003C2311yescharacteristic
430#4003C2311yescharacteristic
431#4003C2311yescharacteristic
432#4003C2311yescharacteristic
433#4003C2311yescharacteristic
434#4003C2311yescharacteristic
435#4002C2311yescharacteristic
436#4002C2311yescharacteristic
437#4002C2311yescharacteristic
438#4002C2311yescharacteristic
439#4002C2311yescharacteristic
440#4002C2311yescharacteristic
441#4002C2311yescharacteristic
442#4002C2311yescharacteristic
443#4002C2311yescharacteristic
444#4002C2311yescharacteristic
445#4002C2311yescharacteristic
446#4002C2311yescharacteristic
447#4002C2311yescharacteristic
448#4002C2311yescharacteristic
449#4002C2311yescharacteristic
450#4002C2311yescharacteristic
451#4002C2311yescharacteristic
452#4002C2311yescharacteristic
453#4002C2311yescharacteristic
454#4002C2311yescharacteristic
455#4002C2311yescharacteristic
456#4002C2311yescharacteristic
457C4⋊#170C2311yescharacteristic
458C4⋊#170C2311yescharacteristic
459C4⋊#170C2311yescharacteristic
460C4⋊#170C2311yescharacteristic
461C4⋊#170C2311yescharacteristic
462C4⋊#170C2311yescharacteristic
463C4⋊#170C2311yescharacteristic
464C4⋊#170C2311yescharacteristic
465C4⋊#170C2311yescharacteristic
466C4⋊#170C2311yescharacteristic
467C4×#170C2311yescharacteristic
468C4×#170C2311yescharacteristic
469C4×#170C2311yescharacteristic
470C4×#170C2311yescharacteristic
471C4×#170C2311yescharacteristic
472C4×#170C2311yescharacteristic
473C4×#170C2311yescharacteristic
474C4×#170C2311yescharacteristic
475C4×#170C2311yescharacteristic
476C4×#170C2311yescharacteristic
477C4×#170C2311yescharacteristic
478C4×#170C2311yescharacteristic
479C4×#170C2311yescharacteristic
480C4×#170C2311yescharacteristic
481C4×#170C2311yescharacteristic
482C4×#170C2311yescharacteristic
483C4×#170C2311yescharacteristic
484C4×#170C2311yescharacteristic
485#3480—51no—
486#2970—51no—
487#2970—51no—
488#2969—51no—
489#2969—51no—
490#2968—51no—
491#2968—51no—
492#2968—51no—
493#2968—51no—
494#2967—51no—
495#2967—51no—
496#2967—51no—
497#2967—51no—
498#2966—51no—
499#2966—51no—
500#2965—51no—
501#2965—51no—
502Q8×M16—51no—
503C2×#446—51no—
504#2935—51no—
505#2935—51no—
506#2935—51no—
507#2932—51no—
508#2932—51no—
509#2931—51no—
510#2925—51no—
511#2925—51no—
512#2925—51no—
513#2875—51no—
514#2875—51no—
515C4×#131—51no—
516C2×C5×D4C22×C411yescharacteristic
517C2×C5×D4C22×C411yescharacteristic
518C2×C5×D4C22×C411yescharacteristic
519C2×C5×D4C22×C411yescharacteristic
520C2×C5×D4C22×C411yescharacteristic
521C2×C5×D4C22×C411yescharacteristic
522C22×C4×C5C22×C411yescharacteristic
523C22×C4×C5C22×C411yescharacteristic
524C22×C4×C5C22×C411yescharacteristic
525C22×C4×C5C22×C411yescharacteristic
526C22×C4×C5C22×C411yescharacteristic
527C22×C4×C5C22×C411yescharacteristic
528C2×C22⋊D5C22×C411yescharacteristic
529C2×C22⋊D5C22×C411yescharacteristic
530C2×C22⋊D5C22×C411yescharacteristic
531C2×C22⋊D5C22×C411yescharacteristic
532C2×C22⋊D5C22×C411yescharacteristic
533C2×C22⋊D5C22×C411yescharacteristic
534C2×C22⋊D5C22×C411yescharacteristic
535C2×C22⋊D5C22×C411yescharacteristic
536C2×C22⋊D5C22×C411yescharacteristic
537C2×C22⋊D5C22×C411yescharacteristic
538C2×C22⋊D5C22×C411yescharacteristic
539C2×C22⋊D5C22×C411yescharacteristic
540C22×Dic5C22×C411yescharacteristic
541C22×Dic5C22×C411yescharacteristic
542C22×Dic5C22×C411yescharacteristic
543C22×Dic5C22×C411yescharacteristic
544C22×Dic5C22×C411yescharacteristic
545C22×Dic5C22×C411yescharacteristic
546C22×Dic5C2411yescharacteristic
547C22×Dic5C2411yescharacteristic
548C22×Dic5C2411yescharacteristic
549C22×Dic5C2411yescharacteristic
550#711—22no—
551#711—22no—
552#711—22no—
553#711—22no—
554#711—22no—
555#711—22no—
556#711—42no—
557#709—42no—
558C2×D20C22×C411yescharacteristic
559C2×D20C22×C411yescharacteristic
560C2×D20C22×C411yescharacteristic
561C2×C4×D5C22×C411yescharacteristic
562C2×C4×D5C22×C411yescharacteristic
563C2×C4×D5C22×C411yescharacteristic
564C2×C4×D5C22×C411yescharacteristic
565C2×C4×D5C22×C411yescharacteristic
566C2×C4×D5C22×C411yescharacteristic
567C2×C4×D5C2411yescharacteristic
568C2×C4×D5C2411yescharacteristic
569C2×C4×D5C2411yescharacteristic
570C2×Dic10—42no—
571C2×Dic10C22×C411yescharacteristic
572C2×Dic10C22×C411yescharacteristic
573C2×Dic10C22×C411yescharacteristic
574C2×Dic10C22×C411yescharacteristic
575C2×Dic10C22×C411yescharacteristic
576C2×Dic10C22×C411yescharacteristic
577C2×Dic10C22×C411yescharacteristic
578#704—22no—
579#704—22no—
580#704—22no—
581#704—22no—
582#704—22no—
583#704—22no—
584#704—22no—
585#704—22no—
586#704—22no—
587#704#4114yescomplemented
588C2×#170—22no—
589C2×#170—22no—
590C2×#170—22no—
591C2×#170—22no—
592C2×#170—22no—
593C2×#170—22no—
594C2×#170—22no—
595C2×#170—22no—
596C2×#170—22no—
597C2×#170#4114yescomplemented
598C2×#170C2411yescharacteristic
599C2×#170C2411yescharacteristic
600C2×#170C2411yescharacteristic
601C2×#170C2411yescharacteristic
602C2×#170C2411yescharacteristic
603C2×#170C2411yescharacteristic
604C2×#170C2411yescharacteristic
605C2×#170C2411yescharacteristic
606C2×#170C2411yescharacteristic
607C2×#170C2411yescharacteristic
608C2×#170C2411yescharacteristic
609C2×#170C2411yescharacteristic
610C2×#170C2411yescharacteristic
611C2×#170C2411yescharacteristic
612C2×#170C2411yescharacteristic
613C2×#170C2411yescharacteristic
614#700—22no—
615#700—22no—
616#700—22no—
617#700—22no—
618#700—22no—
619#700—22no—
620D5⋊C8—22no—
621D5⋊C8—22no—
622D5⋊C8—22no—
623D5⋊C8—22no—
624D5⋊C8—22no—
625D5⋊C8—22no—
626C5×C4⋊C4C22×C411yescharacteristic
627C5×C4⋊C4C22×C411yescharacteristic
628C5×C4⋊C4C22×C411yescharacteristic
629C5×C4⋊C4C22×C411yescharacteristic
630C5×C4⋊C4C22×C411yescharacteristic
631C5×C4⋊C4C22×C411yescharacteristic
632C5×C4⋊C4C22×C411yescharacteristic
633C5×C4⋊C4C22×C411yescharacteristic
634C5×C4⋊C4C22×C411yescharacteristic
635C5×C4⋊C4C22×C411yescharacteristic
636C5×C22⋊C4C22×C411yescharacteristic
637C5×C22⋊C4C22×C411yescharacteristic
638C5×C22⋊C4C22×C411yescharacteristic
639C5×C22⋊C4C22×C411yescharacteristic
640C5×C22⋊C4C22×C411yescharacteristic
641C5×C22⋊C4C22×C411yescharacteristic
642C5×C22⋊C4C22×C411yescharacteristic
643C5×C22⋊C4C22×C411yescharacteristic
644C5×C22⋊C4C22×C411yescharacteristic
645C5×C22⋊C4C22×C411yescharacteristic
646C42×C5C22×C411yescharacteristic
647C42×C5C22×C411yescharacteristic
648C42×C5C22×C411yescharacteristic
649C22⋊Dic5C22×C411yescharacteristic
650C22⋊Dic5C22×C411yescharacteristic
651C22⋊Dic5C22×C411yescharacteristic
652C22⋊Dic5C22×C411yescharacteristic
653C22⋊Dic5C22×C411yescharacteristic
654C22⋊Dic5C22×C411yescharacteristic
655C22⋊Dic5C22×C411yescharacteristic
656C22⋊Dic5C22×C411yescharacteristic
657C22⋊Dic5C22×C411yescharacteristic
658C22⋊Dic5C22×C411yescharacteristic
659#685C22×C411yescharacteristic
660#685C22×C411yescharacteristic
661#685C22×C411yescharacteristic
662#685C22×C411yescharacteristic
663#685C22×C411yescharacteristic
664#685C22×C411yescharacteristic
665#685C22×C411yescharacteristic
666#685C22×C411yescharacteristic
667#685C22×C411yescharacteristic
668#685C22×C411yescharacteristic
669#685C22×C411yescharacteristic
670#685C22×C411yescharacteristic
671#685C22×C411yescharacteristic
672#685C22×C411yescharacteristic
673#685C22×C411yescharacteristic
674#685C22×C411yescharacteristic
675#685C22×C411yescharacteristic
676#685C22×C411yescharacteristic
677C4⋊Dic5C22×C411yescharacteristic
678C4⋊Dic5C22×C411yescharacteristic
679C4⋊Dic5C22×C411yescharacteristic
680C4⋊Dic5C22×C411yescharacteristic
681C4⋊Dic5C22×C411yescharacteristic
682C4⋊Dic5C22×C411yescharacteristic
683#683C22×C411yescharacteristic
684#683C22×C411yescharacteristic
685#683C22×C411yescharacteristic
686#683C22×C411yescharacteristic
687#683C22×C411yescharacteristic
688#683C22×C411yescharacteristic
689#683C22×C411yescharacteristic
690#683C22×C411yescharacteristic
691#683C22×C411yescharacteristic
692#683C22×C411yescharacteristic
693#683C22×C411yescharacteristic
694#683C22×C411yescharacteristic
695#683C22×C411yescharacteristic
696#683C22×C411yescharacteristic
697#683C22×C411yescharacteristic
698#683C22×C411yescharacteristic
699#683C22×C411yescharacteristic
700#683C22×C411yescharacteristic
701#683C22×C411yescharacteristic
702#683C22×C411yescharacteristic
703#683C22×C411yescharacteristic
704#683C22×C411yescharacteristic
705C4×Dic5C22×C411yescharacteristic
706C4×Dic5C22×C411yescharacteristic
707C4×Dic5C22×C411yescharacteristic
708C4×Dic5C22×C411yescharacteristic
709C4×Dic5C22×C411yescharacteristic
710C4×Dic5C22×C411yescharacteristic
711C4×Dic5C22×C411yescharacteristic
712C4×Dic5C22×C411yescharacteristic
713C4×Dic5C22×C411yescharacteristic
714C4×Dic5C22×C411yescharacteristic
715C4×Dic5C22×C411yescharacteristic
716C4×Dic5C22×C411yescharacteristic
717C4×Dic5C22×C411yescharacteristic
718C4×Dic5C22×C411yescharacteristic
719C4×Dic5C22×C411yescharacteristic
720C4×Dic5C2411yescharacteristic
721C4×Dic5C2411yescharacteristic
722C4×Dic5C2411yescharacteristic
723C4×Dic5C2411yescharacteristic
724C4×Dic5C2411yescharacteristic
725C4×Dic5C2411yescharacteristic
726C4×Dic5C2411yescharacteristic
727C4×Dic5C2411yescharacteristic
728C2×#131—51no—
729C2×#131—51no—
730C2×#131—51no—
731C2×#131—51no—
732C2×#131—51no—
733C2×#131—51no—
734#559—51no—
735#559—51no—
736#559—51no—
737#557—51no—
738#556—51no—
739#556—51no—
740#556—51no—
741#553—51no—
742#553—51no—
743#553—51no—
744#553—51no—
745#553—51no—
746#553AGL(1,𝔽5)11yescharacteristic
747#550—51no—
748#548—51no—
749#548—51no—
750#532—51no—
751#532—51no—
752#532—51no—
753#529—51no—
754#529—51no—
755#529—51no—
756#529—51no—
757#529—51no—
758#529—51no—
759C4×#41—51no—
760C4×#41—51no—
761C4×#41—51no—
762C4×#41—51no—
763C4×#41—51no—
764C2×C4×Q8—51no—
765#446—51no—
766#446—51no—
767#446—51no—
768#446—51no—
769#446—51no—
770#446—51no—
771#446—51no—
772#446—51no—
773#446—51no—
774#446—51no—
775#446—51no—
776#446—51no—
777#446—51no—
778#446—51no—
779C8×Q8—51no—
780C8×Q8—51no—
781#436—51no—
782#436—51no—
783#436—51no—
784#436—51no—
785#436—51no—
786#436—51no—
787#436—51no—
788#436—51no—
789#436—51no—
790#436—51no—
791#435—51no—
792#435—51no—
793#435—51no—
794#435—51no—
795#435—51no—
796#435—51no—
797#435—51no—
798#435—51no—
799#435—51no—
800#435—51no—
801#435—51no—
802#435—51no—
803#435—51no—
804#435—51no—
805#435—51no—
806#435—51no—
807#435—51no—
808#435—51no—
809#435—51no—
810#435—51no—
811#435—51no—
812#435—51no—
813#435—51no—
814#435—51no—
815#435—51no—
816#435—51no—
817#435—51no—
818#435—51no—
819C8×D4—51no—
820C8×D4—51no—
821C8×D4—51no—
822C8×D4—51no—
823C8×D4—51no—
824C8×D4—51no—
825C8×D4—51no—
826C8×D4—51no—
827C8×D4—51no—
828C8×D4—51no—
829#433—51no—
830#433—51no—
831#433—51no—
832#433—51no—
833#433—51no—
834#433—51no—
835#433—51no—
836#433—51no—
837#433—51no—
838#433—51no—
839#433—51no—
840#433—51no—
841#432—51no—
842#432—51no—
843#432—51no—
844#432—51no—
845#432—51no—
846#432—51no—
847#431—51no—
848#431—51no—
849#431—51no—
850#431—51no—
851#431—51no—
852#431—51no—
853#423—51no—
854#423—51no—
855#423—51no—
856C2×C4⋊C8—51no—
857C2×C4⋊C8—51no—
858C2×C4⋊C8—51no—
859#408—51no—
860#408—51no—
861#408—51no—
862#408—51no—
863#408—51no—
864#408—51no—
865#405—51no—
866#405—51no—
867#405—51no—
868#405—51no—
869#405—51no—
870#405—51no—
871#405—51no—
872#405—51no—
873#405—51no—
874#405—51no—
875#405—51no—
876#405—51no—
877#405—51no—
878#405—51no—
879#405—51no—
880#405—51no—
881C4×M16—51no—
882C4×M16—51no—
883C4×M16—51no—
884C4×M16—51no—
885C4×M16—51no—
886C4×M16—51no—
887C4×M16—51no—
888C4×M16—51no—
889C4×M16—51no—
890C2×#97—51no—
891C2×#97—51no—
892C2×#97—51no—
893C2×#97—51no—
894C2×#97—51no—
895C2×#97—51no—
896C2×C4×C8—51no—
897C2×C4×C8—51no—
898C2×C4×C8—51no—
899C23×C5C23×C411yescharacteristic
900C23×C5C23×C411yescharacteristic
901C23×C5C23×C411yescharacteristic
902C23×C5C23×C411yescharacteristic
903C22×D5C23×C411yescharacteristic
904C22×D5C23×C411yescharacteristic
905C22×D5C23×C411yescharacteristic
906C5×D4—22no—
907C5×D4—22no—
908C5×D4—22no—
909C5×D4—41no—
910C5×D4—41no—
911C5×D4—41no—
912C2×C4×C5—41no—
913C2×C4×C5—41no—
914C2×C4×C5—41no—
915C2×C4×C5—41no—
916C2×C4×C5—41no—
917C2×C4×C5—41no—
918C2×C4×C5C23×C411yescharacteristic
919C2×C4×C5C23×C411yescharacteristic
920C2×C4×C5C23×C411yescharacteristic
921C2×C4×C5C23×C411yescharacteristic
922C2×C4×C5C23×C411yescharacteristic
923C2×C4×C5C23×C411yescharacteristic
924C2×C4×C5C23×C411yescharacteristic
925C2×C4×C5C23×C411yescharacteristic
926C2×C4×C5C23×C411yescharacteristic
927C2×C4×C5C23×C411yescharacteristic
928C2×C4×C5C23×C411yescharacteristic
929C22⋊D5—22no—
930C22⋊D5—22no—
931C22⋊D5—22no—
932C22⋊D5—22no—
933C22⋊D5—22no—
934C22⋊D5—22no—
935C22⋊D5—22no—
936C22⋊D5—22no—
937C22⋊D5—41no—
938C22⋊D5—41no—
939C22⋊D5—41no—
940C22⋊D5—41no—
941C2×Dic5—22no—
942C2×Dic5—22no—
943C2×Dic5—21no—
944C2×Dic5—21no—
945C2×Dic5—21no—
946C2×Dic5—21no—
947C2×Dic5—21no—
948C2×Dic5—21no—
949C2×Dic5—41no—
950C2×Dic5—41no—
951C2×Dic5—41no—
952C2×Dic5—41no—
953C2×Dic5C23×C411yescharacteristic
954C2×Dic5C23×C411yescharacteristic
955C2×Dic5C23×C411yescharacteristic
956C2×Dic5C23×C411yescharacteristic
957C2×Dic5C23×C411yescharacteristic
958C2×Dic5C23×C411yescharacteristic
959C2×Dic5C23×C411yescharacteristic
960C2×Dic5C23×C411yescharacteristic
961C2×Dic5C23×C411yescharacteristic
962C2×Dic5C23×C411yescharacteristic
963C2×Dic5C23×C411yescharacteristic
964C2×Dic5C23×C411yescharacteristic
965C2×Dic5C2×#4112yes—
966C2×Dic5C2×#4112yes—
967C2×Dic5C2511yescharacteristic
968D20—41no—
969D20—41no—
970D20—41no—
971C4×D5—22no—
972C4×D5—21no—
973C4×D5—21no—
974C4×D5—21no—
975C4×D5—21no—
976C4×D5—21no—
977C4×D5—21no—
978C4×D5—41no—
979C4×D5—41no—
980C4×D5—41no—
981C4×D5—41no—
982C4×D5—41no—
983Dic10—22no—
984Dic10—22no—
985Dic10—22no—
986Dic10—22no—
987Dic10—22no—
988Dic10—41no—
989Dic10—41no—
990#170—21no—
991#170—21no—
992#170—21no—
993#170—21no—
994#170—21no—
995#170—21no—
996#170—21no—
997#170—21no—
998#170—21no—
999#170—21no—
1000#170—21no—
1001#170—21no—
1002#170C2×#4112yes—
1003#170C2×#4112yes—
1004#170C2×#4112yes—
1005#170C2×#4112yes—
1006C2×#41—51no—
1007C2×#41—51no—
1008C2×#41—51no—
1009C2×#41—51no—
1010C2×#41—51no—
1011C22×Q8—51no—
1012#131—104no—
1013#131—104no—
1014#131—104no—
1015#131—104no—
1016#131—104no—
1017#131—104no—
1018C2×M16—51no—
1019C2×M16—51no—
1020C2×M16—51no—
1021C2×M16—51no—
1022C2×M16—51no—
1023C2×M16—51no—
1024C2×M16—51no—
1025C2×M16—51no—
1026C2×M16—51no—
1027C2×M16—51no—
1028C2×M16—51no—
1029C2×M16—51no—
1030C2×M16—51no—
1031C2×M16—51no—
1032C2×M16—51no—
1033C2×M16—51no—
1034C22×C8—51no—
1035C22×C8—51no—
1036C22×C8—51no—
1037C22×C8—51no—
1038C22×C8—51no—
1039C22×C8—51no—
1040C22×C8—51no—
1041C22×C8—51no—
1042C22×C8—51no—
1043C22×C8—51no—
1044C22×C8—51no—
1045C22×C8—51no—
1046C22×C8—51no—
1047C22×C8—51no—
1048C22×C8—51no—
1049C22×C8—51no—
1050C4⋊Q8—51no—
1051C4⋊Q8—51no—
1052C4⋊Q8—51no—
1053#127—51no—
1054#127—51no—
1055#127—51no—
1056#126—51no—
1057#126—51no—
1058#126—51no—
1059#126—51no—
1060#126—51no—
1061#126—51no—
1062#126—51no—
1063#126—51no—
1064#126—51no—
1065#126—51no—
1066#126C2×AGL(1,𝔽5)11yescharacteristic
1067#126C2×AGL(1,𝔽5)11yescharacteristic
1068#125—51no—
1069#125—51no—
1070#125—51no—
1071#125—51no—
1072#125—51no—
1073#125C2×AGL(1,𝔽5)11yescharacteristic
1074#124—51no—
1075#124—51no—
1076#124—51no—
1077#124—51no—
1078#124—51no—
1079#124—51no—
1080#124—51no—
1081#124—51no—
1082#124—51no—
1083#124—51no—
1084#124—51no—
1085#124—51no—
1086#123—51no—
1087#123—51no—
1088#123—51no—
1089#123—51no—
1090#123—51no—
1091#123—51no—
1092#123—51no—
1093#123—51no—
1094#123—51no—
1095#123—51no—
1096#123C2×AGL(1,𝔽5)11yescharacteristic
1097#123C2×AGL(1,𝔽5)11yescharacteristic
1098C22⋊Q8—51no—
1099C22⋊Q8—51no—
1100C22⋊Q8—51no—
1101C22⋊Q8—51no—
1102C22⋊Q8—51no—
1103C22⋊Q8—51no—
1104#121—51no—
1105#121—51no—
1106#121—51no—
1107#121—51no—
1108#121—51no—
1109#121—51no—
1110#121—51no—
1111#121—51no—
1112#121—51no—
1113#121—51no—
1114#121—51no—
1115#121—51no—
1116#121—51no—
1117#121—51no—
1118#121C2×AGL(1,𝔽5)11yescharacteristic
1119#121C2×AGL(1,𝔽5)11yescharacteristic
1120#121C2×AGL(1,𝔽5)11yescharacteristic
1121#121C2×AGL(1,𝔽5)11yescharacteristic
1122C4×Q8—51no—
1123C4×Q8—51no—
1124C4×Q8—51no—
1125C4×Q8—51no—
1126C4×Q8—51no—
1127C4×Q8—51no—
1128C4×Q8—51no—
1129C4×Q8—51no—
1130C4×Q8—51no—
1131C4×Q8—51no—
1132C4×Q8—51no—
1133C4×Q8—51no—
1134C4×Q8—51no—
1135C4×Q8—51no—
1136C4×Q8—51no—
1137C4×Q8—51no—
1138C4×D4—51no—
1139C4×D4—51no—
1140C4×D4—51no—
1141C4×D4—51no—
1142C4×D4—51no—
1143C4×D4—51no—
1144C4×D4—51no—
1145C4×D4—51no—
1146C4×D4—51no—
1147C4×D4—51no—
1148C4×D4—51no—
1149C4×D4—51no—
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—51no—
1167C4×D4—51no—
1168C4×D4—51no—
1169C4×D4—51no—
1170C4×D4C2×AGL(1,𝔽5)11yescharacteristic
1171C4×D4C2×AGL(1,𝔽5)11yescharacteristic
1172C4×D4C2×AGL(1,𝔽5)11yescharacteristic
1173C4×D4C2×AGL(1,𝔽5)11yescharacteristic
1174#117—51no—
1175#117—51no—
1176#117—51no—
1177#117—51no—
1178#117—51no—
1179#117—51no—
1180#117—51no—
1181#117—51no—
1182#117—51no—
1183#117—51no—
1184#117—51no—
1185#117—51no—
1186#117C2×AGL(1,𝔽5)11yescharacteristic
1187C2×C4⋊C4—51no—
1188C2×C4⋊C4—51no—
1189C2×C4⋊C4C2×AGL(1,𝔽5)11yescharacteristic
1190C2×C42—51no—
1191C2×C42—51no—
1192C2×C42—51no—
1193C2×C42—51no—
1194C2×C42—51no—
1195C2×C42—51no—
1196C2×C42—51no—
1197C2×C42—51no—
1198C2×C42—51no—
1199C4⋊C8—51no—
1200C4⋊C8—51no—
1201C4⋊C8—51no—
1202C4⋊C8—51no—
1203C4⋊C8—51no—
1204C4⋊C8—51no—
1205C4⋊C8—51no—
1206C4⋊C8—51no—
1207C4⋊C8—51no—
1208C4⋊C8—51no—
1209C4⋊C8—51no—
1210C4⋊C8—51no—
1211C4⋊C8—51no—
1212C4⋊C8—51no—
1213C4⋊C8—51no—
1214C4⋊C8—51no—
1215C4⋊C8—51no—
1216C4⋊C8—51no—
1217C4⋊C8—51no—
1218C4⋊C8—51no—
1219C4⋊C8—51no—
1220C4⋊C8—51no—
1221C4⋊C8—51no—
1222C4⋊C8—51no—
1223C22⋊C8—51no—
1224C22⋊C8—51no—
1225C22⋊C8—51no—
1226C22⋊C8—51no—
1227C22⋊C8—51no—
1228C22⋊C8—51no—
1229C22⋊C8—51no—
1230C22⋊C8—51no—
1231C22⋊C8—51no—
1232C22⋊C8—51no—
1233C22⋊C8—51no—
1234C22⋊C8—51no—
1235C22⋊C8—51no—
1236C22⋊C8—51no—
1237C22⋊C8—51no—
1238C22⋊C8—51no—
1239C22⋊C8—51no—
1240C22⋊C8—51no—
1241C22⋊C8—51no—
1242C22⋊C8—51no—
1243C22⋊C8—51no—
1244C22⋊C8—51no—
1245C22⋊C8—51no—
1246C22⋊C8—51no—
1247#97—51no—
1248#97—51no—
1249#97—51no—
1250#97—51no—
1251#97—51no—
1252#97—51no—
1253#97—51no—
1254#97—51no—
1255#97—51no—
1256#97—51no—
1257#97—51no—
1258#97—51no—
1259#97—51no—
1260#97—51no—
1261#97—51no—
1262#97—51no—
1263#97—51no—
1264#97—51no—
1265#97—51no—
1266#97—51no—
1267#97—51no—
1268#97—51no—
1269C4×C8—51no—
1270C4×C8—51no—
1271C4×C8—51no—
1272C4×C8—51no—
1273C4×C8—51no—
1274C4×C8—51no—
1275C4×C8—51no—
1276C4×C8—51no—
1277C4×C8—51no—
1278C4×C8—51no—
1279C4×C8—51no—
1280C4×C8—51no—
1281C4×C8—51no—
1282C4×C8—51no—
1283C4×C8—51no—
1284C4×C8—51no—
1285C4×C8—51no—
1286C4×C8—51no—
1287C22×C5—21no—
1288C22×C5—21no—
1289C22×C5—21no—
1290C22×C5—21no—
1291C22×C5—21no—
1292C22×C5—21no—
1293C22×C5—21no—
1294C22×C5—21no—
1295C22×C5—21no—
1296C22×C5—21no—
1297C22×C5—21no—
1298C22×C5C4×#4112yes—
1299C22×C5C24×C411yescharacteristic
1300C2×D5—21no—
1301C2×D5—21no—
1302C2×D5—21no—
1303C2×D5—21no—
1304C2×D5—21no—
1305C2×D5—21no—
1306C2×D5—21no—
1307C2×D5—21no—
1308C2×D5—21no—
1309C4×C5—21no—
1310C4×C5—21no—
1311C4×C5—21no—
1312C4×C5—21no—
1313C4×C5—21no—
1314C4×C5—21no—
1315C4×C5—21no—
1316C4×C5—21no—
1317C4×C5—21no—
1318C4×C5—21no—
1319C4×C5—21no—
1320Dic5—21no—
1321Dic5—21no—
1322Dic5—21no—
1323Dic5—21no—
1324Dic5—21no—
1325Dic5—21no—
1326Dic5—21no—
1327Dic5—21no—
1328Dic5—21no—
1329Dic5—21no—
1330Dic5C4×#4112yes—
1331Dic5#56812yes—
1332Dic5C22×#4111yescharacteristic
1333Dic5C22×#4111yescharacteristic
1334#41—102no—
1335#41—102no—
1336#41—102no—
1337#41—102no—
1338#41—102no—
1339#41—102no—
1340#41—202no—
1341#41—202no—
1342C2×Q8—51no—
1343C2×Q8—51no—
1344C2×Q8—51no—
1345C2×Q8—51no—
1346C2×Q8—51no—
1347C2×Q8—51no—
1348C2×Q8—51no—
1349C2×Q8—202no—
1350C2×D4—51no—
1351C2×D4—51no—
1352C2×D4—51no—
1353C2×D4—51no—
1354C2×D4—51no—
1355C2×D4—51no—
1356C2×D4—51no—
1357C2×D4—51no—
1358C2×D4—51no—
1359C2×D4—51no—
1360C2×D4—51no—
1361C2×D4—51no—
1362C2×D4—51no—
1363C2×D4—51no—
1364C2×D4—51no—
1365C2×D4C22×AGL(1,𝔽5)11yescharacteristic
1366C2×D4C22×AGL(1,𝔽5)11yescharacteristic
1367C2×D4C22×AGL(1,𝔽5)11yescharacteristic
1368C2×D4C22×AGL(1,𝔽5)11yescharacteristic
1369C2×D4C22×AGL(1,𝔽5)11yescharacteristic
1370C2×D4C22×AGL(1,𝔽5)11yescharacteristic
1371C22×C4—51no—
1372C22×C4—51no—
1373C22×C4—51no—
1374C22×C4—51no—
1375C22×C4—51no—
1376C22×C4—51no—
1377C22×C4—51no—
1378C22×C4—51no—
1379C22×C4—51no—
1380C22×C4—51no—
1381C22×C4—51no—
1382C22×C4—51no—
1383C22×C4—51no—
1384C22×C4—51no—
1385C22×C4—51no—
1386C22×C4—51no—
1387C22×C4—51no—
1388C22×C4—51no—
1389C22×C4—51no—
1390C22×C4C22×AGL(1,𝔽5)11yescharacteristic
1391C22×C4C22×AGL(1,𝔽5)11yescharacteristic
1392C22×C4C22×AGL(1,𝔽5)11yescharacteristic
1393C22×C4C22×AGL(1,𝔽5)11yescharacteristic
1394C22×C4C22×AGL(1,𝔽5)11yescharacteristic
1395C22×C4C22×AGL(1,𝔽5)11yescharacteristic
1396M16—54no—
1397M16—102no—
1398M16—102no—
1399M16—102no—
1400M16—102no—
1401M16—102no—
1402M16—102no—
1403M16—102no—
1404M16—102no—
1405M16—102no—
1406M16—102no—
1407M16—102no—
1408M16—102no—
1409M16—102no—
1410M16—102no—
1411M16—102no—
1412C2×C8—51no—
1413C2×C8—51no—
1414C2×C8—51no—
1415C2×C8—51no—
1416C2×C8—54no—
1417C2×C8—51no—
1418C2×C8—51no—
1419C2×C8—51no—
1420C2×C8—51no—
1421C2×C8—51no—
1422C2×C8—51no—
1423C2×C8—51no—
1424C2×C8—51no—
1425C2×C8—51no—
1426C2×C8—51no—
1427C2×C8—51no—
1428C2×C8—51no—
1429C2×C8—102no—
1430C2×C8—102no—
1431C2×C8—102no—
1432C2×C8—102no—
1433C2×C8—102no—
1434C2×C8—102no—
1435C2×C8—102no—
1436C2×C8—102no—
1437C2×C8—102no—
1438C2×C8—102no—
1439C2×C8—102no—
1440C2×C8—102no—
1441C2×C8—102no—
1442C2×C8—102no—
1443C2×C8—102no—
1444C4⋊C4—51no—
1445C4⋊C4—51no—
1446C4⋊C4—51no—
1447C4⋊C4—51no—
1448C4⋊C4—51no—
1449C4⋊C4—51no—
1450C4⋊C4—51no—
1451C4⋊C4—51no—
1452C4⋊C4—51no—
1453C4⋊C4—51no—
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—51no—
1472C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1473C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1474C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1475C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1476C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1477C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1478C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1479C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1480C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1481C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1482C22⋊C4—51no—
1483C22⋊C4—51no—
1484C22⋊C4—51no—
1485C22⋊C4—51no—
1486C22⋊C4—51no—
1487C22⋊C4—51no—
1488C22⋊C4—51no—
1489C22⋊C4—51no—
1490C22⋊C4—51no—
1491C22⋊C4—51no—
1492C22⋊C4—51no—
1493C22⋊C4—51no—
1494C22⋊C4—51no—
1495C22⋊C4—51no—
1496C22⋊C4—51no—
1497C22⋊C4—51no—
1498C22⋊C4—51no—
1499C22⋊C4—51no—
1500C22⋊C4—51no—
1501C22⋊C4—51no—
1502C22⋊C4—51no—
1503C22⋊C4—51no—
1504C22⋊C4—51no—
1505C22⋊C4—51no—
1506C22⋊C4—51no—
1507C22⋊C4—51no—
1508C22⋊C4—51no—
1509C22⋊C4—51no—
1510C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1511C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1512C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1513C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1514C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1515C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1516C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1517C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1518C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1519C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1520C42—51no—
1521C42—51no—
1522C42—51no—
1523C42—51no—
1524C42—51no—
1525C42—51no—
1526C42—51no—
1527C42—51no—
1528C42—51no—
1529C42—51no—
1530C42—51no—
1531C42—51no—
1532C42—51no—
1533C42—51no—
1534C42—51no—
1535C42—51no—
1536C42—51no—
1537C42—51no—
1538C42—51no—
1539C42—51no—
1540C42—51no—
1541C42—51no—
1542C42—51no—
1543C42C22×AGL(1,𝔽5)11yescharacteristic
1544C42C22×AGL(1,𝔽5)11yescharacteristic
1545C42C22×AGL(1,𝔽5)11yescharacteristic
1546C2×C5—22no—
1547C2×C5—41no—
1548C2×C5—41no—
1549C2×C5—41no—
1550C2×C5C2×C4×#4111yescharacteristic
1551C2×C5C2×#56811yescharacteristic
1552C2×C5#357311yescharacteristic
1553D5—41no—
1554D5—41no—
1555D5—41no—
1556C23—51no—
1557C23—51no—
1558C23—51no—
1559C23C23×AGL(1,𝔽5)11yescharacteristic
1560C23C23×AGL(1,𝔽5)11yescharacteristic
1561C23C23×AGL(1,𝔽5)11yescharacteristic
1562C23C23×AGL(1,𝔽5)11yescharacteristic
1563Q8—102no—
1564Q8—102no—
1565Q8—102no—
1566Q8—102no—
1567Q8—102no—
1568Q8—201no—
1569Q8—201no—
1570D4—22no—
1571D4—22no—
1572D4—22no—
1573D4—41no—
1574D4—41no—
1575D4—41no—
1576D4—102no—
1577D4—102no—
1578D4—102no—
1579D4—102no—
1580D4—102no—
1581D4—102no—
1582D4—102no—
1583D4—102no—
1584D4—201no—
1585D4—201no—
1586D4—201no—
1587D4—201no—
1588D4—201no—
1589D4—201no—
1590D4—201no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—52no—
1598C2×C4—52no—
1599C2×C4—51no—
1600C2×C4—51no—
1601C2×C4—51no—
1602C2×C4—51no—
1603C2×C4—51no—
1604C2×C4—51no—
1605C2×C4—51no—
1606C2×C4—51no—
1607C2×C4—51no—
1608C2×C4—51no—
1609C2×C4—51no—
1610C2×C4—51no—
1611C2×C4—51no—
1612C2×C4—101no—
1613C2×C4—101no—
1614C2×C4—101no—
1615C2×C4—101no—
1616C2×C4—101no—
1617C2×C4—101no—
1618C2×C4—102no—
1619C2×C4—101no—
1620C2×C4—101no—
1621C2×C4—101no—
1622C2×C4—101no—
1623C2×C4—101no—
1624C2×C4—101no—
1625C2×C4—102no—
1626C2×C4—102no—
1627C2×C4—201no—
1628C2×C4—201no—
1629C2×C4—201no—
1630C2×C4—201no—
1631C2×C4—201no—
1632C2×C4—201no—
1633C2×C4—201no—
1634C2×C4—201no—
1635C2×C4—201no—
1636C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1637C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1638C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1639C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1640C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1641C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1642C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1643C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1644C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1645C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1646C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1647C8—52no—
1648C8—52no—
1649C8—52no—
1650C8—52no—
1651C8—101no—
1652C8—101no—
1653C8—101no—
1654C8—101no—
1655C8—101no—
1656C8—101no—
1657C8—101no—
1658C8—101no—
1659C8—101no—
1660C8—101no—
1661C8—101no—
1662C8—101no—
1663C5#6021911yescharacteristic, complemented, Sylow
1664C22—21no—
1665C22—21no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—21no—
1675C22—101no—
1676C22—101no—
1677C22—101no—
1678C22—101no—
1679C22—101no—
1680C22—101no—
1681C22—101no—
1682C22—101no—
1683C22—101no—
1684C22#41×AGL(1,𝔽5)12yes—
1685C22C24×AGL(1,𝔽5)11yescharacteristic
1686C4—21no—
1687C4—21no—
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—52no—
1698C4—51no—
1699C4—51no—
1700C4—52no—
1701C4—101no—
1702C4—101no—
1703C4—101no—
1704C4—101no—
1705C4—101no—
1706C4—101no—
1707C4—101no—
1708C4—101no—
1709C4—101no—
1710C4—101no—
1711C2—22no—
1712C2—41no—
1713C2—41no—
1714C2—41no—
1715C2—201no—
1716C2—201no—
1717C2—201no—
1718C2D5⋊#56811yescharacteristic
1719C2C2×#41×AGL(1,𝔽5)11yescharacteristic
1720C2#1061941311yescharacteristic
subgroupG/H
center, FrattiniC22C24×AGL(1,𝔽5)
commutator, socleC22×C5C24×C4
FittingC5×#553C4
prime radical#10618776C2
cosocleC2×Dic5C25
hypercenter#553AGL(1,𝔽5)
hypocenterC5#60219
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22 ◁ #553

Complements

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

NH ≅ G/Ntype
2. #10617352C2semidirect
3. #10617351C2semidirect
4. #10617350C2semidirect
5. #10617349C2semidirect
6. #10617334C2semidirect
7. #10617333C2semidirect
8. #10617295C2semidirect
9. #10617294C2semidirect
10. #10617293C2semidirect
11. #10617292C2semidirect
12. #10617235C2semidirect
13. #10617234C2semidirect
14. #10617232C2semidirect
15. #10617231C2semidirect
16. #10617231C2semidirect
17. #10617228C2semidirect
18. #10617228C2semidirect
19. #10617227C2semidirect
20. #10617156C2semidirect
21. #10617154C2semidirect
22. #10617144C2semidirect
23. #10617144C2semidirect
24. #10617143C2semidirect
25. #10617136C2semidirect
26. #10617136C2semidirect
27. C4×#4131C2semidirect
28. #10617117C2semidirect
29. #10617116C2semidirect
30. #10617088C2semidirect
31. C2×#65707C2semidirect
587. #704#41semidirect
597. C2×#170#41semidirect
1663. C5#60219semidirect

Maximal subgroups

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

subgroupindex
#106187762
#106173522
#106173512
#106173502
#106173492
#106173342
#106173332
#106172952
#106172942
#106172932
#106172922
#106172352
#106172342
#106172322
#106172312
#106172282
#106172272
#106171562
#106171542
#106171442
#106171432
#106171362
C4×#41312
#106171172
#106171162
#106170882
C2×#657072
#602195