Finite Group Databasebeta

← #12306521

Subgroups — #12306521

Order 1280.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2480C211yesmaximal, characteristic
2#10614824C211yesmaximal, characteristic, complemented
3#10614822C211yesmaximal, characteristic, complemented
4#10613843C211yesmaximal, characteristic
5C2×#65232C211yesmaximal, characteristic
6#10609331C211yesmaximal, characteristic, complemented
7#10609330C211yesmaximal, characteristic, complemented
8#10609310C211yesmaximal, characteristic, complemented
9#10609309C211yesmaximal, characteristic, complemented
10#10609302C211yesmaximal, characteristic, complemented
11#10609301C211yesmaximal, characteristic, complemented
12#10609107C211yesmaximal, characteristic, complemented
13#10609104C211yesmaximal, characteristic, complemented
14#10607456C211yesmaximal, characteristic, complemented
15#10607455C211yesmaximal, characteristic, complemented
16#10607448C211yesmaximal, characteristic, complemented
17#10607447C211yesmaximal, characteristic, complemented
18#10607409C211yesmaximal, characteristic, complemented
19#10607402C211yesmaximal, characteristic, complemented
20#10606235C211yesmaximal, characteristic, complemented
21#10606193C211yesmaximal, characteristic, complemented
22#10606192C211yesmaximal, characteristic, complemented
23#10606118C211yesmaximal, characteristic, complemented
24#10605688C211yesmaximal, characteristic, complemented
25#10605658C211yesmaximal, characteristic, complemented
26#10605577C211yesmaximal, characteristic
27#10605577C211yesmaximal, characteristic
28#10605562C211yesmaximal, characteristic
29#10605561C211yesmaximal, characteristic
30#10605251C211yesmaximal, characteristic, complemented
31#10605178C211yesmaximal, characteristic, complemented
32C24×Dic5C2211yescharacteristic
33C2×C5×#126C2211yescharacteristic
34C22×C5×C22⋊C4C2211yescharacteristic
35C22×C22⋊Dic5C2211yescharacteristic
36C2×#4025C2211yescharacteristic
37C2×#4025C2211yescharacteristic
38C2×#4025C2211yescharacteristic
39C2×#4024C2211yescharacteristic
40C2×#4024C2211yescharacteristic
41C2×#4024C2211yescharacteristic
42C2×#4024C2211yescharacteristic
43C2×#4024C2211yescharacteristic
44C2×#4024C2211yescharacteristic
45C5×#397C2211yescharacteristic
46C5×#397C2211yescharacteristic
47C5×#397C2211yescharacteristic
48C5×#396C2211yescharacteristic
49C5×#388C2211yescharacteristic
50C5×#388C2211yescharacteristic
51C5×#388C2211yescharacteristic
52C5×#385C2211yescharacteristic
53C5×#385C2211yescharacteristic
54C5×#380C2211yescharacteristic
55C5×#379C2211yescharacteristic
56C5×#379C2211yescharacteristic
57C4×C5×C22⋊C4C2211yescharacteristic
58#65536C2211yescharacteristic
59#65536C2211yescharacteristic
60#65501C2211yescharacteristic
61#65499C2211yescharacteristic
62#65499C2211yescharacteristic
63C4×C22⋊Dic5C2211yescharacteristic
64C2×#3963C2211yescharacteristic
65C2×#3963C2211yescharacteristic
66C2×#3963C2211yescharacteristic
67C2×#3963C2211yescharacteristic
68#65275C2211yescharacteristic, complemented
69#65275C2211yescharacteristic, complemented
70#65274C2211yescharacteristic, complemented
71#65273C2211yescharacteristic, complemented
72#65273C2211yescharacteristic, complemented
73#65273C2211yescharacteristic, complemented
74#65273C2211yescharacteristic, complemented
75#65272C2211yescharacteristic, complemented
76#65272C2211yescharacteristic, complemented
77#65271C2211yescharacteristic, complemented
78#65271C2211yescharacteristic, complemented
79#65271C2211yescharacteristic, complemented
80#65270C2211yescharacteristic, complemented
81#65270C2211yescharacteristic, complemented
82#65269C2211yescharacteristic, complemented
83#65268C2211yescharacteristic, complemented
84#65268C2211yescharacteristic, complemented
85#65267C2211yescharacteristic, complemented
86#65267C2211yescharacteristic, complemented
87#65266C2211yescharacteristic, complemented
88#65263C2211yescharacteristic, complemented
89#65262C2211yescharacteristic, complemented
90#65261C2211yescharacteristic, complemented
91#65261C2211yescharacteristic, complemented
92#65242C2211yescharacteristic
93#65242C2211yescharacteristic
94#65242C2211yescharacteristic
95#65241C2211yescharacteristic
96#65241C2211yescharacteristic
97#65241C2211yescharacteristic
98#65241C2211yescharacteristic
99#65241C2211yescharacteristic
100#65241C2211yescharacteristic
101#65240C2211yescharacteristic
102#65240C2211yescharacteristic
103#65240C2211yescharacteristic
104#65239C2211yescharacteristic
105#65239C2211yescharacteristic
106#65239C2211yescharacteristic
107#65239C2211yescharacteristic
108#65239C2211yescharacteristic
109#65239C2211yescharacteristic
110#65239C2211yescharacteristic
111#65239C2211yescharacteristic
112#65237C2211yescharacteristic
113#65237C2211yescharacteristic
114#65237C2211yescharacteristic
115#65235C2211yescharacteristic
116#65235C2211yescharacteristic
117#65235C2211yescharacteristic
118#65235C2211yescharacteristic
119#65235C2211yescharacteristic
120#65235C2211yescharacteristic
121#65235C2211yescharacteristic
122#65235C2211yescharacteristic
123#65234C2211yescharacteristic
124#65234C2211yescharacteristic
125#65234C2211yescharacteristic
126#65233C2211yescharacteristic
127#65233C2211yescharacteristic
128#65233C2211yescharacteristic
129#65232C2211yescharacteristic
130#65232C2211yescharacteristic
131#65232C2211yescharacteristic
132#65232C2211yescharacteristic
133#65232C2211yescharacteristic
134#65232C2211yescharacteristic
135#65232C2211yescharacteristic
136#65232C2211yescharacteristic
137#65231C2211yescharacteristic
138#65231C2211yescharacteristic
139#65231C2211yescharacteristic
140#65231C2211yescharacteristic
141#65231C2211yescharacteristic
142#65231C2211yescharacteristic
143#65231C2211yescharacteristic
144#65231C2211yescharacteristic
145C22⋊C4×Dic5C2211yescharacteristic
146C22⋊C4×Dic5C2211yescharacteristic
147#65225C2211yescharacteristic, complemented
148#65222C2211yescharacteristic, complemented
149#65222C2211yescharacteristic, complemented
150#65222C2211yescharacteristic, complemented
151#65222C2211yescharacteristic, complemented
152#65218C2211yescharacteristic, complemented
153#65217C2211yescharacteristic, complemented
154#65217C2211yescharacteristic, complemented
155#64950C2211yescharacteristic, complemented
156#64949C2211yescharacteristic, complemented
157#64949C2211yescharacteristic, complemented
158#64949C2211yescharacteristic, complemented
159#64949C2211yescharacteristic, complemented
160#64948C2211yescharacteristic, complemented
161#64948C2211yescharacteristic, complemented
162#64948C2211yescharacteristic, complemented
163#64947C2211yescharacteristic, complemented
164#64947C2211yescharacteristic, complemented
165#64947C2211yescharacteristic, complemented
166#64947C2211yescharacteristic, complemented
167#64946C2211yescharacteristic, complemented
168#64946C2211yescharacteristic, complemented
169#64946C2211yescharacteristic, complemented
170#64946C2211yescharacteristic, complemented
171#64945C2211yescharacteristic, complemented
172#64945C2211yescharacteristic, complemented
173#64944C2211yescharacteristic, complemented
174#64944C2211yescharacteristic, complemented
175#64943C2211yescharacteristic, complemented
176#64943C2211yescharacteristic, complemented
177#64942C2211yescharacteristic, complemented
178#64942C2211yescharacteristic, complemented
179#64941C2211yescharacteristic, complemented
180#64941C2211yescharacteristic, complemented
181#64939C2211yescharacteristic, complemented
182#64939C2211yescharacteristic, complemented
183#64936C2211yescharacteristic, complemented
184#64936C2211yescharacteristic, complemented
185#64935C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36732—51nomaximal, Sylow
188C25×C5C2311yescharacteristic
189C23×C4×C5C2311yescharacteristic
190C23×C4×C5C2311yescharacteristic
191C23×Dic5—24no—
192C23×Dic5—42no—
193C23×Dic5—42no—
194C23×Dic5C2311yescharacteristic
195C23×Dic5C2311yescharacteristic
196C23×Dic5C2311yescharacteristic
197C23×Dic5C2311yescharacteristic
198C23×Dic5C2311yescharacteristic
199C23×Dic5C2311yescharacteristic
200C23×Dic5C2311yescharacteristic
201C23×Dic5C2311yescharacteristic
202C22×Dic10C2311yescharacteristic
203C22×Dic10C2311yescharacteristic
204C5×#126—42no—
205C2×C5×C4⋊C4C2311yescharacteristic
206C2×C5×C4⋊C4C2311yescharacteristic
207C2×C5×C4⋊C4C2311yescharacteristic
208C2×C5×C4⋊C4C2311yescharacteristic
209C2×C5×C4⋊C4C2311yescharacteristic
210C2×C5×C4⋊C4C2311yescharacteristic
211C2×C5×C22⋊C4—42no—
212C2×C5×C22⋊C4C2311yescharacteristic
213C2×C5×C22⋊C4C2311yescharacteristic
214C2×C5×C22⋊C4C2311yescharacteristic
215C2×C5×C22⋊C4C2311yescharacteristic
216C2×C5×C22⋊C4C2311yescharacteristic
217C2×C5×C22⋊C4C2311yescharacteristic
218C2×C5×C22⋊C4C2311yescharacteristic
219C2×C5×C22⋊C4C2311yescharacteristic
220C2×C5×C22⋊C4C2311yescharacteristic
221C2×C5×C22⋊C4C2311yescharacteristic
222C2×C5×C22⋊C4C2311yescharacteristic
223C2×C5×C22⋊C4C2311yescharacteristic
224C2×C5×C22⋊C4C2311yescharacteristic
225C2×C5×C22⋊C4C2311yescharacteristic
226C2×C5×C22⋊C4C2311yescharacteristic
227C2×C5×C22⋊C4C2311yescharacteristic
228C2×C42×C5C2311yescharacteristic
229C2×C42×C5C2311yescharacteristic
230C2×C22⋊Dic5—42no—
231C2×C22⋊Dic5C2311yescharacteristic
232C2×C22⋊Dic5C2311yescharacteristic
233C2×C22⋊Dic5C2311yescharacteristic
234C2×C22⋊Dic5C2311yescharacteristic
235C2×C22⋊Dic5C2311yescharacteristic
236C2×C22⋊Dic5C2311yescharacteristic
237C2×C22⋊Dic5C2311yescharacteristic
238C2×C22⋊Dic5C2311yescharacteristic
239C2×C22⋊Dic5C2311yescharacteristic
240C2×C22⋊Dic5C2311yescharacteristic
241C2×C22⋊Dic5C2311yescharacteristic
242C2×C22⋊Dic5C2311yescharacteristic
243C2×C22⋊Dic5C2311yescharacteristic
244C2×C22⋊Dic5C2311yescharacteristic
245C2×C22⋊Dic5C2311yescharacteristic
246C2×C22⋊Dic5C2311yescharacteristic
247C2×C4⋊Dic5C2311yescharacteristic
248C2×C4⋊Dic5C2311yescharacteristic
249C2×C4⋊Dic5C2311yescharacteristic
250C2×C4⋊Dic5C2311yescharacteristic
251C2×C4⋊Dic5C2311yescharacteristic
252C2×C4⋊Dic5C2311yescharacteristic
253C2×C4⋊Dic5C2311yescharacteristic
254C2×C4⋊Dic5C2311yescharacteristic
255C2×C4⋊Dic5C2311yescharacteristic
256C2×C4⋊Dic5C2311yescharacteristic
257C2×C4⋊Dic5C2311yescharacteristic
258C2×C4⋊Dic5C2311yescharacteristic
259C2×#683C2311yescharacteristic
260C2×#683C2311yescharacteristic
261C2×#683C2311yescharacteristic
262C2×#683C2311yescharacteristic
263C2×#683C2311yescharacteristic
264C2×#683C2311yescharacteristic
265C2×#683C2311yescharacteristic
266C2×#683C2311yescharacteristic
267C2×#683C2311yescharacteristic
268C2×#683C2311yescharacteristic
269C2×#683C2311yescharacteristic
270C2×#683C2311yescharacteristic
271C2×#683C2311yescharacteristic
272C2×#683C2311yescharacteristic
273C2×#683C2311yescharacteristic
274C2×#683C2311yescharacteristic
275C2×#683C2311yescharacteristic
276C2×#683C2311yescharacteristic
277C2×#683C2311yescharacteristic
278C2×#683C2311yescharacteristic
279C2×#683C2311yescharacteristic
280C2×#683C2311yescharacteristic
281C2×#683C2311yescharacteristic
282C2×#683C2311yescharacteristic
283C2×C4×Dic5C2311yescharacteristic
284C2×C4×Dic5C2311yescharacteristic
285C2×C4×Dic5C2311yescharacteristic
286C2×C4×Dic5C2311yescharacteristic
287C2×C4×Dic5C2311yescharacteristic
288C2×C4×Dic5C2311yescharacteristic
289#4025—42no—
290#4025—42no—
291#4025—42no—
292#4024—24no—
293#4024—24no—
294#4024—42no—
295#4024—42no—
296#4024—42no—
297#4024—42no—
298C5×#95C2311yescharacteristic
299C5×#95C2311yescharacteristic
300C5×#95C2311yescharacteristic
301C5×#95C2311yescharacteristic
302C5×#95C2311yescharacteristic
303C5×#95C2311yescharacteristic
304C5×#95C2311yescharacteristic
305C5×#95C2311yescharacteristic
306#3963C2311yescharacteristic
307#3963C2311yescharacteristic
308#3963C2311yescharacteristic
309#3963C2311yescharacteristic
310#3963C2311yescharacteristic
311#3963C2311yescharacteristic
312#3963C2311yescharacteristic
313#3963C2311yescharacteristic
314#3963C2311yescharacteristic
315#3963C2311yescharacteristic
316#3963C2311yescharacteristic
317#3963C2311yescharacteristic
318#3963C2311yescharacteristic
319#3963C2311yescharacteristic
320#3963C2311yescharacteristic
321#3963C2311yescharacteristic
322#3963C2311yescharacteristic
323#3963C2311yescharacteristic
324#3963C2311yescharacteristic
325#3963C2311yescharacteristic
326#3963C2311yescharacteristic
327#3963C2311yescharacteristic
328#3963C2311yescharacteristic
329#3963C2311yescharacteristic
330#3963C2311yescharacteristic
331#3963C2311yescharacteristic
332#3963C2311yescharacteristic
333#3963C2311yescharacteristic
334#3963C2311yescharacteristic
335#3963C2311yescharacteristic
336#3963C2311yescharacteristic
337#3963C2311yescharacteristic
338#3963C2311yescharacteristic
339#3963C2311yescharacteristic
340#3963C2311yescharacteristic
341#3963C2311yescharacteristic
342#3963C2311yescharacteristic
343#3963C2311yescharacteristic
344#3963C2311yescharacteristic
345#3963C2311yescharacteristic
346#3963C2311yescharacteristic
347#3963C2311yescharacteristic
348#3963C2311yescharacteristic
349#3963C2311yescharacteristic
350#3963C2311yescharacteristic
351#3963C2311yescharacteristic
352#3963C2311yescharacteristic
353#3963C2311yescharacteristic
354#3963C2311yescharacteristic
355#3963C2311yescharacteristic
356#3963C2311yescharacteristic
357#3963C2311yescharacteristic
358#2848—51no—
359#2848—51no—
360#2744—51no—
361#2744—51no—
362#2744—51no—
363#2744—51no—
364#2739—51no—
365#2739—51no—
366#2739—51no—
367#2739—51no—
368#2698—51no—
369#2698—51no—
370#2698—51no—
371#2698—51no—
372#2689—51no—
373#2689—51no—
374#2689—51no—
375#2689—51no—
376#2659—51no—
377#2646—51no—
378#2505—51no—
379#2505—51no—
380#2505—51no—
381#2505—51no—
382#2480—51no—
383#2480—51no—
384#2480—51no—
385#2480D511yescharacteristic
386#2329—51no—
387#2329—51no—
388C2×#381—51no—
389C24×C5—22no—
390C24×C5—22no—
391C24×C5—22no—
392C24×C5—22no—
393C24×C5—22no—
394C24×C5—41no—
395C24×C5—41no—
396C24×C5C2411yescharacteristic
397C24×C5C2411yescharacteristic
398C24×C5C2411yescharacteristic
399C22×C4×C5—22no—
400C22×C4×C5—22no—
401C22×C4×C5—41no—
402C22×C4×C5—41no—
403C22×C4×C5—41no—
404C22×C4×C5—41no—
405C22×C4×C5C2411yescharacteristic
406C22×C4×C5C2411yescharacteristic
407C22×C4×C5C2411yescharacteristic
408C22×C4×C5C2411yescharacteristic
409C22×C4×C5C2411yescharacteristic
410C22×C4×C5C2411yescharacteristic
411C22×C4×C5C2411yescharacteristic
412C22×C4×C5C2411yescharacteristic
413C22×C4×C5C2411yescharacteristic
414C22×C4×C5C2411yescharacteristic
415C22×C4×C5C2411yescharacteristic
416C22×C4×C5C2411yescharacteristic
417C22×Dic5—22no—
418C22×Dic5—22no—
419C22×Dic5—22no—
420C22×Dic5—22no—
421C22×Dic5—22no—
422C22×Dic5—22no—
423C22×Dic5—22no—
424C22×Dic5—22no—
425C22×Dic5—22no—
426C22×Dic5—22no—
427C22×Dic5—22no—
428C22×Dic5—41no—
429C22×Dic5—41no—
430C22×Dic5—41no—
431C22×Dic5—41no—
432C22×Dic5—41no—
433C22×Dic5—41no—
434C22×Dic5—41no—
435C22×Dic5—41no—
436C22×Dic5—41no—
437C22×Dic5—41no—
438C22×Dic5—41no—
439C22×Dic5—41no—
440C22×Dic5—416no—
441C22×Dic5#4114yes—
442C22×Dic5C2411yescharacteristic
443C22×Dic5C2411yescharacteristic
444C22×Dic5C2411yescharacteristic
445C22×Dic5C2411yescharacteristic
446C22×Dic5C2411yescharacteristic
447C22×Dic5C2411yescharacteristic
448C22×Dic5C2411yescharacteristic
449C22×Dic5C2411yescharacteristic
450C22×Dic5C2411yescharacteristic
451C22×Dic5C2411yescharacteristic
452C22×Dic5C2411yescharacteristic
453C22×Dic5C2411yescharacteristic
454C22×Dic5C2411yescharacteristic
455C22×Dic5C2411yescharacteristic
456C22×Dic5C2411yescharacteristic
457C22×Dic5C2411yescharacteristic
458C2×Dic10—22no—
459C2×Dic10—22no—
460C2×Dic10—41no—
461C2×Dic10—41no—
462C2×Dic10—41no—
463C2×Dic10—41no—
464C5×C4⋊C4—41no—
465C5×C4⋊C4—41no—
466C5×C4⋊C4—41no—
467C5×C4⋊C4—41no—
468C5×C4⋊C4—41no—
469C5×C4⋊C4—41no—
470C5×C22⋊C4—22no—
471C5×C22⋊C4—22no—
472C5×C22⋊C4—22no—
473C5×C22⋊C4—22no—
474C5×C22⋊C4—22no—
475C5×C22⋊C4—22no—
476C5×C22⋊C4—22no—
477C5×C22⋊C4—22no—
478C5×C22⋊C4—22no—
479C5×C22⋊C4—22no—
480C5×C22⋊C4—41no—
481C5×C22⋊C4—41no—
482C5×C22⋊C4—41no—
483C5×C22⋊C4—41no—
484C5×C22⋊C4—41no—
485C5×C22⋊C4—41no—
486C42×C5—41no—
487C42×C5—41no—
488C22⋊Dic5—22no—
489C22⋊Dic5—22no—
490C22⋊Dic5—22no—
491C22⋊Dic5—22no—
492C22⋊Dic5—22no—
493C22⋊Dic5—22no—
494C22⋊Dic5—22no—
495C22⋊Dic5—22no—
496C22⋊Dic5—22no—
497C22⋊Dic5—22no—
498C22⋊Dic5—41no—
499C22⋊Dic5—41no—
500C22⋊Dic5—41no—
501C22⋊Dic5—41no—
502C22⋊Dic5—41no—
503C22⋊Dic5—41no—
504C4⋊Dic5—22no—
505C4⋊Dic5—22no—
506C4⋊Dic5—41no—
507C4⋊Dic5—41no—
508C4⋊Dic5—41no—
509C4⋊Dic5—41no—
510C4⋊Dic5—41no—
511C4⋊Dic5—41no—
512C4⋊Dic5—41no—
513C4⋊Dic5—41no—
514C4⋊Dic5—41no—
515C4⋊Dic5—41no—
516#683—22no—
517#683—22no—
518#683—22no—
519#683—22no—
520#683—41no—
521#683—41no—
522#683—41no—
523#683—41no—
524#683—41no—
525#683—41no—
526#683—41no—
527#683—41no—
528#683—41no—
529#683—41no—
530#683—41no—
531#683—41no—
532#683—41no—
533#683—41no—
534#683—41no—
535#683—41no—
536#683—41no—
537#683—41no—
538#683—41no—
539#683—41no—
540C4×Dic5—41no—
541C4×Dic5—41no—
542C4×Dic5—41no—
543C4×Dic5—41no—
544C4×Dic5—41no—
545C4×Dic5—41no—
546C24×C4—51no—
547C2×#126—51no—
548C2×#126—51no—
549C2×#126—51no—
550C2×#126C2×D511yescharacteristic
551C2×C22⋊Q8—51no—
552C2×C22⋊Q8—51no—
553C2×C22⋊Q8—51no—
554C2×C22⋊Q8—51no—
555C2×C22⋊Q8—51no—
556C2×C22⋊Q8—51no—
557C22×C22⋊C4—51no—
558C22×C22⋊C4C2×D511yescharacteristic
559#400—51no—
560#400—51no—
561#400—51no—
562#400—51no—
563#400—51no—
564#400—51no—
565#400—51no—
566#400—51no—
567#400—51no—
568#400—51no—
569#400—51no—
570#400—51no—
571#400—51no—
572#400—51no—
573#400—51no—
574#400—51no—
575#398—51no—
576#398—51no—
577#398—51no—
578#398—51no—
579#398—51no—
580#398—51no—
581#398—51no—
582#398—51no—
583#398—51no—
584#398—51no—
585#398—51no—
586#398—51no—
587#397—51no—
588#397—51no—
589#397—51no—
590#397—51no—
591#397—51no—
592#397—51no—
593#397—51no—
594#397—51no—
595#397—51no—
596#397C2×D511yescharacteristic
597#397C2×D511yescharacteristic
598#397C2×D511yescharacteristic
599#396—51no—
600#396—51no—
601#396—51no—
602#396C2×D511yescharacteristic
603#395—51no—
604#395—51no—
605#395—51no—
606#395—51no—
607#391—51no—
608#391—51no—
609#391—51no—
610#391—51no—
611#389—51no—
612#389—51no—
613#389—51no—
614#389—51no—
615#389—51no—
616#389—51no—
617#389—51no—
618#389—51no—
619#388—51no—
620#388—51no—
621#388—51no—
622#388—51no—
623#388—51no—
624#388—51no—
625#388—51no—
626#388—51no—
627#388—51no—
628#388C2×D511yescharacteristic
629#388C2×D511yescharacteristic
630#388C2×D511yescharacteristic
631#387—51no—
632#387—51no—
633#387—51no—
634#387—51no—
635#387—51no—
636#387—51no—
637#387—51no—
638#387—51no—
639#387—51no—
640#387—51no—
641#387—51no—
642#387—51no—
643#387—51no—
644#387—51no—
645#387—51no—
646#387—51no—
647#385—51no—
648#385—51no—
649#385—51no—
650#385—51no—
651#385—51no—
652#385—51no—
653#385—51no—
654#385—51no—
655#385—51no—
656#385—51no—
657#385—51no—
658#385—51no—
659#385—51no—
660#385—51no—
661#385—51no—
662#385—51no—
663#385—51no—
664#385—51no—
665#385C2×D511yescharacteristic
666#385C2×D511yescharacteristic
667#382—51no—
668#382—51no—
669#382—51no—
670#382—51no—
671#381—51no—
672#381—51no—
673#381—51no—
674#381—51no—
675#381—51no—
676#381—51no—
677#381—51no—
678#381—51no—
679#380—51no—
680#380—51no—
681#380—51no—
682#380—51no—
683#380—51no—
684#380—51no—
685#380—51no—
686#380—51no—
687#380—51no—
688#380C2×D511yescharacteristic
689#379—51no—
690#379—51no—
691#379C2×D511yescharacteristic
692#379C2×D511yescharacteristic
693C4×C22⋊C4—51no—
694C4×C22⋊C4—51no—
695C4×C22⋊C4—51no—
696C4×C22⋊C4C2×D511yescharacteristic
697C2×#95—51no—
698C2×#95—51no—
699C2×#95—51no—
700C2×#95—51no—
701C23×C5—21no—
702C23×C5—21no—
703C23×C5—21no—
704C23×C5—21no—
705C23×C5—28no—
706C23×C5—21no—
707C23×C5—21no—
708C23×C5—21no—
709C23×C5—21no—
710C23×C5—21no—
711C23×C5—21no—
712C23×C5—21no—
713C23×C5—21no—
714C23×C5—21no—
715C23×C5—21no—
716C23×C5—21no—
717C23×C5—21no—
718C23×C5—44no—
719C23×C5—44no—
720C23×C5—44no—
721C23×C5—44no—
722C23×C5—44no—
723C23×C5—44no—
724C23×C5C2×#4112yes—
725C23×C5H(5,𝔽2)12yes—
726C23×C5H(5,𝔽2)12yes—
727C23×C52−1+412yes—
728C23×C52−1+412yes—
729C23×C5C2511yescharacteristic
730C2×C4×C5—21no—
731C2×C4×C5—21no—
732C2×C4×C5—21no—
733C2×C4×C5—21no—
734C2×C4×C5—21no—
735C2×C4×C5—21no—
736C2×C4×C5—21no—
737C2×C4×C5—21no—
738C2×C4×C5—21no—
739C2×C4×C5—21no—
740C2×C4×C5—21no—
741C2×C4×C5—21no—
742C2×C4×C5—21no—
743C2×C4×C5—21no—
744C2×C4×C5—21no—
745C2×C4×C5—21no—
746C2×C4×C5—21no—
747C2×C4×C5—21no—
748C2×C4×C5—21no—
749C2×C4×C5—21no—
750C2×C4×C5—21no—
751C2×C4×C5—21no—
752C2×C4×C5—21no—
753C2×C4×C5—21no—
754C2×C4×C5—21no—
755C2×C4×C5—21no—
756C2×C4×C5—21no—
757C2×C4×C5—21no—
758C2×C4×C5—21no—
759C2×C4×C5—21no—
760C2×C4×C5—21no—
761C2×C4×C5—21no—
762C2×C4×C5—21no—
763C2×C4×C5—21no—
764C2×C4×C5—21no—
765C2×C4×C5—21no—
766C2×C4×C5—82no—
767C2×C4×C5—82no—
768C2×Dic5—21no—
769C2×Dic5—21no—
770C2×Dic5—21no—
771C2×Dic5—21no—
772C2×Dic5—21no—
773C2×Dic5—21no—
774C2×Dic5—21no—
775C2×Dic5—21no—
776C2×Dic5—21no—
777C2×Dic5—21no—
778C2×Dic5—21no—
779C2×Dic5—21no—
780C2×Dic5—21no—
781C2×Dic5—21no—
782C2×Dic5—21no—
783C2×Dic5—21no—
784C2×Dic5—21no—
785C2×Dic5—21no—
786C2×Dic5—21no—
787C2×Dic5—21no—
788C2×Dic5—21no—
789C2×Dic5—21no—
790C2×Dic5—21no—
791C2×Dic5—21no—
792C2×Dic5—21no—
793C2×Dic5—21no—
794C2×Dic5—21no—
795C2×Dic5—21no—
796C2×Dic5—21no—
797C2×Dic5—21no—
798C2×Dic5—21no—
799C2×Dic5—21no—
800C2×Dic5—21no—
801C2×Dic5—21no—
802C2×Dic5—21no—
803C2×Dic5—21no—
804C2×Dic5—21no—
805C2×Dic5—21no—
806C2×Dic5—21no—
807C2×Dic5—21no—
808C2×Dic5—21no—
809C2×Dic5—21no—
810C2×Dic5—21no—
811C2×Dic5—21no—
812C2×Dic5—21no—
813C2×Dic5—21no—
814C2×Dic5—44no—
815C2×Dic5—44no—
816C2×Dic5—44no—
817C2×Dic5—44no—
818C2×Dic5—44no—
819C2×Dic5—44no—
820C2×Dic5—82no—
821C2×Dic5—82no—
822C2×Dic5C2×#4112yes—
823C2×Dic5C2×#4112yes—
824Dic10—82no—
825Dic10—82no—
826C25C22×D511yescharacteristic
827C22×Q8—51no—
828C22×Q8—51no—
829C23×C4—51no—
830C23×C4—51no—
831C23×C4—51no—
832C23×C4—51no—
833C23×C4—51no—
834C23×C4—51no—
835C23×C4—51no—
836C23×C4—51no—
837C23×C4—104no—
838C23×C4—202no—
839C23×C4—202no—
840C23×C4C22×D511yescharacteristic
841C23×C4C22×D511yescharacteristic
842#126—42no—
843#126—202no—
844#126—202no—
845#126—202no—
846C22⋊Q8—104no—
847C22⋊Q8—104no—
848C22⋊Q8—202no—
849C22⋊Q8—202no—
850C22⋊Q8—202no—
851C22⋊Q8—202no—
852C2×C4⋊C4—51no—
853C2×C4⋊C4—51no—
854C2×C4⋊C4—51no—
855C2×C4⋊C4—51no—
856C2×C4⋊C4—51no—
857C2×C4⋊C4—51no—
858C2×C4⋊C4—51no—
859C2×C4⋊C4—51no—
860C2×C4⋊C4—51no—
861C2×C4⋊C4—51no—
862C2×C4⋊C4—51no—
863C2×C4⋊C4—51no—
864C2×C4⋊C4—51no—
865C2×C4⋊C4—51no—
866C2×C4⋊C4—51no—
867C2×C4⋊C4—51no—
868C2×C4⋊C4—51no—
869C2×C4⋊C4—51no—
870C2×C4⋊C4—51no—
871C2×C4⋊C4—51no—
872C2×C4⋊C4—51no—
873C2×C4⋊C4—51no—
874C2×C4⋊C4—51no—
875C2×C4⋊C4—51no—
876C2×C4⋊C4—51no—
877C2×C4⋊C4—51no—
878C2×C4⋊C4—51no—
879C2×C4⋊C4—51no—
880C2×C4⋊C4—51no—
881C2×C4⋊C4—51no—
882C2×C4⋊C4—51no—
883C2×C4⋊C4—51no—
884C2×C4⋊C4—51no—
885C2×C4⋊C4—51no—
886C2×C4⋊C4—51no—
887C2×C4⋊C4—51no—
888C2×C4⋊C4C22×D511yescharacteristic
889C2×C4⋊C4C22×D511yescharacteristic
890C2×C4⋊C4C22×D511yescharacteristic
891C2×C4⋊C4C22×D511yescharacteristic
892C2×C4⋊C4C22×D511yescharacteristic
893C2×C4⋊C4C22×D511yescharacteristic
894C2×C22⋊C4—42no—
895C2×C22⋊C4—51no—
896C2×C22⋊C4—51no—
897C2×C22⋊C4—51no—
898C2×C22⋊C4—51no—
899C2×C22⋊C4—51no—
900C2×C22⋊C4—51no—
901C2×C22⋊C4—51no—
902C2×C22⋊C4—51no—
903C2×C22⋊C4—51no—
904C2×C22⋊C4—51no—
905C2×C22⋊C4—51no—
906C2×C22⋊C4—51no—
907C2×C22⋊C4—51no—
908C2×C22⋊C4—51no—
909C2×C22⋊C4—51no—
910C2×C22⋊C4—51no—
911C2×C22⋊C4—202no—
912C2×C22⋊C4C22×D511yescharacteristic
913C2×C22⋊C4C22×D511yescharacteristic
914C2×C22⋊C4C22×D511yescharacteristic
915C2×C22⋊C4C22×D511yescharacteristic
916C2×C22⋊C4C22×D511yescharacteristic
917C2×C22⋊C4C22×D511yescharacteristic
918C2×C22⋊C4C22×D511yescharacteristic
919C2×C22⋊C4C22×D511yescharacteristic
920C2×C22⋊C4C22×D511yescharacteristic
921C2×C22⋊C4C22×D511yescharacteristic
922C2×C22⋊C4C22×D511yescharacteristic
923C2×C22⋊C4C22×D511yescharacteristic
924C2×C22⋊C4C22×D511yescharacteristic
925C2×C22⋊C4C22×D511yescharacteristic
926C2×C22⋊C4C22×D511yescharacteristic
927C2×C22⋊C4C22×D511yescharacteristic
928C2×C42—51no—
929C2×C42—51no—
930C2×C42—51no—
931C2×C42—51no—
932C2×C42—51no—
933C2×C42—51no—
934C2×C42C22×D511yescharacteristic
935C2×C42C22×D511yescharacteristic
936#95—51no—
937#95—51no—
938#95—51no—
939#95—51no—
940#95—51no—
941#95—51no—
942#95—51no—
943#95—51no—
944#95—51no—
945#95—51no—
946#95—51no—
947#95—51no—
948#95—51no—
949#95—51no—
950#95—51no—
951#95—51no—
952#95—51no—
953#95—51no—
954#95—51no—
955#95—51no—
956#95—51no—
957#95—51no—
958#95—51no—
959#95—51no—
960#95—51no—
961#95—51no—
962#95—51no—
963#95—51no—
964#95—51no—
965#95—51no—
966#95—51no—
967#95—51no—
968#95—51no—
969#95—51no—
970#95—51no—
971#95—51no—
972#95—51no—
973#95—51no—
974#95—51no—
975#95—51no—
976#95—51no—
977#95—51no—
978#95—51no—
979#95—51no—
980#95—51no—
981#95—51no—
982#95—51no—
983#95—51no—
984#95—51no—
985#95—51no—
986#95—51no—
987#95—51no—
988#95C22×D511yescharacteristic
989#95C22×D511yescharacteristic
990#95C22×D511yescharacteristic
991#95C22×D511yescharacteristic
992#95C22×D511yescharacteristic
993#95C22×D511yescharacteristic
994#95C22×D511yescharacteristic
995#95C22×D511yescharacteristic
996C22×C5—22no—
997C22×C5—22no—
998C22×C5—22no—
999C22×C5—22no—
1000C22×C5—22no—
1001C22×C5—22no—
1002C22×C5—22no—
1003C22×C5—22no—
1004C22×C5—22no—
1005C22×C5—22no—
1006C22×C5—22no—
1007C22×C5—22no—
1008C22×C5—416no—
1009C22×C5—41no—
1010C22×C5—41no—
1011C22×C5—41no—
1012C22×C5—41no—
1013C22×C5—41no—
1014C22×C5—41no—
1015C22×C5—41no—
1016C22×C5—41no—
1017C22×C5#54114yes—
1018C22×C5C22×#4111yescharacteristic
1019C22×C5C2×H(5,𝔽2)11yescharacteristic
1020C22×C5C2×H(5,𝔽2)11yescharacteristic
1021C22×C5C2×2−1+411yescharacteristic
1022C22×C5C2×2−1+411yescharacteristic
1023C22×C5#58511yescharacteristic
1024C22×C5#58511yescharacteristic
1025C4×C5—41no—
1026C4×C5—41no—
1027C4×C5—41no—
1028C4×C5—41no—
1029C4×C5—41no—
1030C4×C5—41no—
1031C4×C5—41no—
1032C4×C5—41no—
1033C4×C5—41no—
1034C4×C5—41no—
1035C4×C5—41no—
1036C4×C5—41no—
1037Dic5—22no—
1038Dic5—22no—
1039Dic5—41no—
1040Dic5—41no—
1041Dic5—41no—
1042Dic5—41no—
1043Dic5—41no—
1044Dic5—41no—
1045Dic5—41no—
1046Dic5—41no—
1047Dic5—41no—
1048Dic5—41no—
1049Dic5—41no—
1050Dic5—41no—
1051Dic5—41no—
1052Dic5—41no—
1053C24—22no—
1054C24—22no—
1055C24—22no—
1056C24—22no—
1057C24—22no—
1058C24—41no—
1059C24—41no—
1060C24C23×D511yescharacteristic
1061C24C23×D511yescharacteristic
1062C24C23×D511yescharacteristic
1063C2×Q8—102no—
1064C2×Q8—102no—
1065C2×Q8—201no—
1066C2×Q8—201no—
1067C2×Q8—201no—
1068C2×Q8—201no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—41no—
1072C22×C4—41no—
1073C22×C4—41no—
1074C22×C4—41no—
1075C22×C4—51no—
1076C22×C4—51no—
1077C22×C4—54no—
1078C22×C4—51no—
1079C22×C4—51no—
1080C22×C4—51no—
1081C22×C4—51no—
1082C22×C4—51no—
1083C22×C4—51no—
1084C22×C4—51no—
1085C22×C4—51no—
1086C22×C4—51no—
1087C22×C4—51no—
1088C22×C4—51no—
1089C22×C4—51no—
1090C22×C4—51no—
1091C22×C4—51no—
1092C22×C4—102no—
1093C22×C4—102no—
1094C22×C4—102no—
1095C22×C4—102no—
1096C22×C4—102no—
1097C22×C4—102no—
1098C22×C4—102no—
1099C22×C4—102no—
1100C22×C4—102no—
1101C22×C4—102no—
1102C22×C4—102no—
1103C22×C4—201no—
1104C22×C4—201no—
1105C22×C4—201no—
1106C22×C4—201no—
1107C22×C4—201no—
1108C22×C4—201no—
1109C22×C4—201no—
1110C22×C4—201no—
1111C22×C4—201no—
1112C22×C4—201no—
1113C22×C4—201no—
1114C22×C4—201no—
1115C22×C4—2016no—
1116C22×C4C23×D511yescharacteristic
1117C22×C4C23×D511yescharacteristic
1118C22×C4C23×D511yescharacteristic
1119C22×C4C23×D511yescharacteristic
1120C22×C4C23×D511yescharacteristic
1121C22×C4C23×D511yescharacteristic
1122C22×C4C23×D511yescharacteristic
1123C22×C4C23×D511yescharacteristic
1124C22×C4C23×D511yescharacteristic
1125C22×C4C23×D511yescharacteristic
1126C22×C4C23×D511yescharacteristic
1127C22×C4C23×D511yescharacteristic
1128C4⋊C4—41no—
1129C4⋊C4—41no—
1130C4⋊C4—41no—
1131C4⋊C4—41no—
1132C4⋊C4—41no—
1133C4⋊C4—41no—
1134C4⋊C4—102no—
1135C4⋊C4—102no—
1136C4⋊C4—102no—
1137C4⋊C4—102no—
1138C4⋊C4—102no—
1139C4⋊C4—102no—
1140C4⋊C4—201no—
1141C4⋊C4—201no—
1142C4⋊C4—201no—
1143C4⋊C4—201no—
1144C4⋊C4—201no—
1145C4⋊C4—201no—
1146C4⋊C4—201no—
1147C4⋊C4—201no—
1148C4⋊C4—201no—
1149C4⋊C4—201no—
1150C4⋊C4—201no—
1151C4⋊C4—201no—
1152C4⋊C4—201no—
1153C4⋊C4—201no—
1154C4⋊C4—201no—
1155C4⋊C4—201no—
1156C4⋊C4—201no—
1157C4⋊C4—201no—
1158C4⋊C4—201no—
1159C4⋊C4—201no—
1160C4⋊C4—201no—
1161C4⋊C4—201no—
1162C4⋊C4—201no—
1163C4⋊C4—201no—
1164C4⋊C4—201no—
1165C4⋊C4—201no—
1166C4⋊C4—201no—
1167C4⋊C4—201no—
1168C4⋊C4—201no—
1169C4⋊C4—201no—
1170C22⋊C4—22no—
1171C22⋊C4—22no—
1172C22⋊C4—22no—
1173C22⋊C4—22no—
1174C22⋊C4—22no—
1175C22⋊C4—22no—
1176C22⋊C4—22no—
1177C22⋊C4—22no—
1178C22⋊C4—22no—
1179C22⋊C4—22no—
1180C22⋊C4—41no—
1181C22⋊C4—41no—
1182C22⋊C4—41no—
1183C22⋊C4—41no—
1184C22⋊C4—41no—
1185C22⋊C4—41no—
1186C22⋊C4—102no—
1187C22⋊C4—102no—
1188C22⋊C4—102no—
1189C22⋊C4—102no—
1190C22⋊C4—102no—
1191C22⋊C4—102no—
1192C22⋊C4—102no—
1193C22⋊C4—102no—
1194C22⋊C4—102no—
1195C22⋊C4—102no—
1196C22⋊C4—201no—
1197C22⋊C4—201no—
1198C22⋊C4—201no—
1199C22⋊C4—201no—
1200C22⋊C4—201no—
1201C22⋊C4—201no—
1202C42—41no—
1203C42—41no—
1204C42—201no—
1205C42—201no—
1206C42—201no—
1207C42—201no—
1208C42—201no—
1209C42—201no—
1210C2×C5—24no—
1211C2×C5—42no—
1212C2×C5—42no—
1213C2×C5C2×#54111yescharacteristic
1214C2×C5#349011yescharacteristic
1215C2×C5#349311yescharacteristic
1216C2×C5#353511yescharacteristic
1217C2×C5#353511yescharacteristic
1218C2×C5#353511yescharacteristic
1219C2×C5#353511yescharacteristic
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—28no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—44no—
1238C23—44no—
1239C23—44no—
1240C23—44no—
1241C23—44no—
1242C23—44no—
1243C23#414412yes—
1244C23D5×#4112yes—
1245C23#414912yes—
1246C23#415012yes—
1247C23#415012yes—
1248C23C24×D511yescharacteristic
1249Q8—402no—
1250Q8—402no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—52no—
1288C2×C4—52no—
1289C2×C4—82no—
1290C2×C4—82no—
1291C2×C4—101no—
1292C2×C4—101no—
1293C2×C4—101no—
1294C2×C4—101no—
1295C2×C4—101no—
1296C2×C4—101no—
1297C2×C4—101no—
1298C2×C4—101no—
1299C2×C4—101no—
1300C2×C4—101no—
1301C2×C4—101no—
1302C2×C4—101no—
1303C2×C4—101no—
1304C2×C4—101no—
1305C2×C4—101no—
1306C2×C4—101no—
1307C2×C4—101no—
1308C2×C4—101no—
1309C2×C4—101no—
1310C2×C4—101no—
1311C2×C4—101no—
1312C2×C4—101no—
1313C2×C4—101no—
1314C2×C4—101no—
1315C2×C4—101no—
1316C2×C4—101no—
1317C2×C4—101no—
1318C2×C4—101no—
1319C2×C4—101no—
1320C2×C4—101no—
1321C2×C4—101no—
1322C2×C4—101no—
1323C2×C4—101no—
1324C2×C4—101no—
1325C2×C4—101no—
1326C2×C4—101no—
1327C2×C4—101no—
1328C2×C4—101no—
1329C2×C4—101no—
1330C2×C4—101no—
1331C2×C4—101no—
1332C2×C4—101no—
1333C2×C4—101no—
1334C2×C4—101no—
1335C2×C4—101no—
1336C2×C4—101no—
1337C2×C4—204no—
1338C2×C4—204no—
1339C2×C4—204no—
1340C2×C4—204no—
1341C2×C4—204no—
1342C2×C4—204no—
1343C2×C4—402no—
1344C2×C4—402no—
1345C5#3673211yescharacteristic, complemented, Sylow
1346C22—22no—
1347C22—22no—
1348C22—22no—
1349C22—22no—
1350C22—22no—
1351C22—22no—
1352C22—22no—
1353C22—22no—
1354C22—22no—
1355C22—22no—
1356C22—22no—
1357C22—22no—
1358C22—416no—
1359C22—41no—
1360C22—41no—
1361C22—41no—
1362C22—41no—
1363C22—41no—
1364C22—41no—
1365C22—41no—
1366C22—41no—
1367C22#6603514yes—
1368C22C2×#414411yescharacteristic
1369C22C2×D5×#4111yescharacteristic
1370C22C2×#414911yescharacteristic
1371C22C2×#415011yescharacteristic
1372C22C2×#415011yescharacteristic
1373C22#6628511yescharacteristic
1374C22#6628511yescharacteristic
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C4—102no—
1388C4—102no—
1389C4—201no—
1390C4—201no—
1391C4—201no—
1392C4—201no—
1393C4—201no—
1394C4—201no—
1395C4—201no—
1396C4—201no—
1397C4—201no—
1398C4—201no—
1399C4—201no—
1400C4—201no—
1401C4—201no—
1402C4—201no—
1403C2—24no—
1404C2—42no—
1405C2—42no—
1406C2#1061794411yescharacteristic
1407C2C2×#6603511yescharacteristic
1408C2#1061829111yescharacteristic
1409C2#1061854711yescharacteristic
1410C2#1061854711yescharacteristic
1411C2#1061870311yescharacteristic
1412C2#1061870311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2480C2
prime radicalC25×C5C23
hypercenter#2480D5
hypocenterC5#36732
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
2. #10614824C2semidirect
3. #10614822C2semidirect
6. #10609331C2semidirect
7. #10609330C2semidirect
8. #10609310C2semidirect
9. #10609309C2semidirect
10. #10609302C2semidirect
11. #10609301C2semidirect
12. #10609107C2semidirect
13. #10609104C2semidirect
14. #10607456C2semidirect
15. #10607455C2semidirect
16. #10607448C2semidirect
17. #10607447C2semidirect
18. #10607409C2semidirect
19. #10607402C2semidirect
20. #10606235C2semidirect
21. #10606193C2semidirect
22. #10606192C2semidirect
23. #10606118C2semidirect
24. #10605688C2semidirect
25. #10605658C2semidirect
30. #10605251C2semidirect
31. #10605178C2semidirect
68. #65275C22semidirect
69. #65275C22semidirect
70. #65274C22semidirect
71. #65273C22semidirect
72. #65273C22semidirect
73. #65273C22semidirect
74. #65273C22semidirect
75. #65272C22semidirect
76. #65272C22semidirect
77. #65271C22semidirect
78. #65271C22semidirect
79. #65271C22semidirect
80. #65270C22semidirect
81. #65270C22semidirect
82. #65269C22semidirect
83. #65268C22semidirect
84. #65268C22semidirect
85. #65267C22semidirect
86. #65267C22semidirect
87. #65266C22semidirect
88. #65263C22semidirect
89. #65262C22semidirect
90. #65261C22semidirect
91. #65261C22semidirect
147. #65225C22semidirect
148. #65222C22semidirect
149. #65222C22semidirect
150. #65222C22semidirect
151. #65222C22semidirect
152. #65218C22semidirect
153. #65217C22semidirect
154. #65217C22semidirect
155. #64950C22semidirect
156. #64949C22semidirect
157. #64949C22semidirect
158. #64949C22semidirect
159. #64949C22semidirect
160. #64948C22semidirect
161. #64948C22semidirect
162. #64948C22semidirect
163. #64947C22semidirect
164. #64947C22semidirect
165. #64947C22semidirect
166. #64947C22semidirect
167. #64946C22semidirect
168. #64946C22semidirect
169. #64946C22semidirect
170. #64946C22semidirect
171. #64945C22semidirect
172. #64945C22semidirect
173. #64944C22semidirect
174. #64944C22semidirect
175. #64943C22semidirect
176. #64943C22semidirect
177. #64942C22semidirect
178. #64942C22semidirect
179. #64941C22semidirect
180. #64941C22semidirect
181. #64939C22semidirect
182. #64939C22semidirect
183. #64936C22semidirect
184. #64936C22semidirect
185. #64935C22semidirect
186. #64935C22semidirect
1345. C5#36732semidirect

Maximal subgroups

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

subgroupindex
C5×#24802
#106148242
#106148222
#106138432
C2×#652322
#106093312
#106093302
#106093102
#106093092
#106093022
#106093012
#106091072
#106091042
#106074562
#106074552
#106074482
#106074472
#106074092
#106074022
#106062352
#106061932
#106061922
#106061182
#106056882
#106056582
#106055772
#106055622
#106055612
#106052512
#106051782
#367325