Finite Group Databasebeta

← #12272424

Subgroups — #12272424

Order 1280.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2318C211yesmaximal, characteristic
2#10614055C211yesmaximal, characteristic
3C4×D4×Dic5C211yesmaximal, characteristic
4#10607330C211yesmaximal, characteristic, complemented
5#10607329C211yesmaximal, characteristic, complemented
6#10607281C211yesmaximal, characteristic, complemented
7#10607229C211yesmaximal, characteristic, complemented
8#10606824C211yesmaximal, characteristic, complemented
9#10606822C211yesmaximal, characteristic, complemented
10#10606758C211yesmaximal, characteristic, complemented
11#10606718C211yesmaximal, characteristic, complemented
12#10606469C211yesmaximal, characteristic
13#10606441C211yesmaximal, characteristic
14#10606440C211yesmaximal, characteristic
15#10606424C211yesmaximal, characteristic
16#10606191C211yesmaximal, characteristic, complemented
17#10606174C211yesmaximal, characteristic, complemented
18#10606173C211yesmaximal, characteristic, complemented
19#10606147C211yesmaximal, characteristic, complemented
20#10606024C211yesmaximal, characteristic, complemented
21#10606010C211yesmaximal, characteristic, complemented
22#10605951C211yesmaximal, characteristic, complemented
23#10605928C211yesmaximal, characteristic, complemented
24#10605848C211yesmaximal, characteristic, complemented
25#10605824C211yesmaximal, characteristic, complemented
26#10605732C211yesmaximal, characteristic, complemented
27#10605690C211yesmaximal, characteristic, complemented
28#10605178C211yesmaximal, characteristic, complemented
29C4×#4024C211yesmaximal, characteristic, complemented
30#10605065C211yesmaximal, characteristic, complemented
31C2×#64936C211yesmaximal, characteristic, complemented
32C2×C4×C5×D4C2211yescharacteristic
33C2×D4×Dic5C2211yescharacteristic
34C2×D4×Dic5C2211yescharacteristic
35C22×C4⋊Dic5C2211yescharacteristic
36C2×#4070C2211yescharacteristic
37C22×#683C2211yescharacteristic
38C22×#683C2211yescharacteristic
39C22×#683C2211yescharacteristic
40C22×C4×Dic5C2211yescharacteristic
41C22×C4×Dic5C2211yescharacteristic
42C2×#4036C2211yescharacteristic
43C2×#4036C2211yescharacteristic
44C2×#4034C2211yescharacteristic
45C2×#4024C2211yescharacteristic
46C2×#4024C2211yescharacteristic
47C2×#4024C2211yescharacteristic
48C2×#4024C2211yescharacteristic
49C2×#4024C2211yescharacteristic
50C2×C4×Dic10C2211yescharacteristic
51C5×#388C2211yescharacteristic
52C5×#388C2211yescharacteristic
53C5×#387C2211yescharacteristic
54C5×#387C2211yescharacteristic
55C5×#386C2211yescharacteristic
56C5×#386C2211yescharacteristic
57C5×#385C2211yescharacteristic
58C5×#385C2211yescharacteristic
59C5×#383C2211yescharacteristic
60C5×#382C2211yescharacteristic
61C5×#381C2211yescharacteristic
62C5×#380C2211yescharacteristic
63C4×C5×C22⋊C4C2211yescharacteristic
64C2×C5×#95C2211yescharacteristic
65#65509C2211yescharacteristic
66#65509C2211yescharacteristic
67#65501C2211yescharacteristic
68#65501C2211yescharacteristic
69#65500C2211yescharacteristic
70#65499C2211yescharacteristic
71#65499C2211yescharacteristic
72C4×C22⋊Dic5C2211yescharacteristic
73C4×C22⋊Dic5C2211yescharacteristic
74C4×C22⋊Dic5C2211yescharacteristic
75C2×#3963C2211yescharacteristic
76#65275C2211yescharacteristic
77#65274C2211yescharacteristic
78#65273C2211yescharacteristic
79#65273C2211yescharacteristic
80#65273C2211yescharacteristic
81#65273C2211yescharacteristic
82#65273C2211yescharacteristic
83#65273C2211yescharacteristic
84#65270C2211yescharacteristic
85#65270C2211yescharacteristic
86#65268C2211yescharacteristic
87#65265C2211yescharacteristic
88#65265C2211yescharacteristic
89#65265C2211yescharacteristic
90C4⋊C4×Dic5C2211yescharacteristic
91C4⋊C4×Dic5C2211yescharacteristic
92#65262C2211yescharacteristic
93#65240C2211yescharacteristic
94#65240C2211yescharacteristic
95#65239C2211yescharacteristic
96#65239C2211yescharacteristic
97#65239C2211yescharacteristic
98#65239C2211yescharacteristic
99#65239C2211yescharacteristic
100#65238C2211yescharacteristic
101#65238C2211yescharacteristic
102#65238C2211yescharacteristic
103#65238C2211yescharacteristic
104#65237C2211yescharacteristic
105#65237C2211yescharacteristic
106#65237C2211yescharacteristic
107#65237C2211yescharacteristic
108#65235C2211yescharacteristic
109#65235C2211yescharacteristic
110#65235C2211yescharacteristic
111#65231C2211yescharacteristic
112#65231C2211yescharacteristic
113#65231C2211yescharacteristic
114#65231C2211yescharacteristic
115#65231C2211yescharacteristic
116C22⋊C4×Dic5C2211yescharacteristic
117C22⋊C4×Dic5C2211yescharacteristic
118C22⋊C4×Dic5C2211yescharacteristic
119C22⋊C4×Dic5C2211yescharacteristic
120#65226C2211yescharacteristic
121#65225C2211yescharacteristic
122C4×C4⋊Dic5C2211yescharacteristic
123C4×C4⋊Dic5C2211yescharacteristic
124#65222C2211yescharacteristic
125#65222C2211yescharacteristic
126C4×#683C2211yescharacteristic
127C4×#683C2211yescharacteristic
128C42×Dic5C2211yescharacteristic
129#65218C2211yescharacteristic
130#65217C2211yescharacteristic
131#64950C2211yescharacteristic
132#64950C2211yescharacteristic
133#64950C2211yescharacteristic
134#64950C2211yescharacteristic
135#64950C2211yescharacteristic
136#64949C2211yescharacteristic
137#64949C2211yescharacteristic
138#64949C2211yescharacteristic
139#64946C2211yescharacteristic
140#64946C2211yescharacteristic
141#64946C2211yescharacteristic
142#64946C2211yescharacteristic
143#64946C2211yescharacteristic
144#64945C2211yescharacteristic
145#64945C2211yescharacteristic
146#64945C2211yescharacteristic
147#64944C2211yescharacteristic
148#64944C2211yescharacteristic
149#64944C2211yescharacteristic
150#64944C2211yescharacteristic
151#64944C2211yescharacteristic
152#64944C2211yescharacteristic
153#64944C2211yescharacteristic
154#64943C2211yescharacteristic
155#64943C2211yescharacteristic
156#64943C2211yescharacteristic
157#64943C2211yescharacteristic
158#64943C2211yescharacteristic
159#64943C2211yescharacteristic
160#64943C2211yescharacteristic
161#64936C2211yescharacteristic
162#64936C2211yescharacteristic
163#64936C2211yescharacteristic
164#64936C2211yescharacteristic
165#64936C2211yescharacteristic
166#64936C2211yescharacteristic
167#64936C2211yescharacteristic
168#64936C2211yescharacteristic
169#64936C2211yescharacteristic
170#64936C2211yescharacteristic
171#64936C2211yescharacteristic
172#64936C2211yescharacteristic
173#64936C2211yescharacteristic
174#64936C2211yescharacteristic
175#64936C2211yescharacteristic
176#64936C2211yescharacteristic
177#64936C2211yescharacteristic
178#64936C2211yescharacteristic
179#64936C2211yescharacteristic
180#64935C2211yescharacteristic
181#64935C2211yescharacteristic
182#64935C2211yescharacteristic
183#64935C2211yescharacteristic
184#64935C2211yescharacteristic
185#64935C2211yescharacteristic
186#64935C2211yescharacteristic
187#35017—51nomaximal, Sylow
188C22×C5×D4C2311yescharacteristic
189C23×C4×C5C2311yescharacteristic
190C23×C4×C5C2311yescharacteristic
191C23×C4×C5C2311yescharacteristic
192C23×C4×C5C2311yescharacteristic
193C23×Dic5C2311yescharacteristic
194C23×Dic5C2311yescharacteristic
195C23×Dic5C2311yescharacteristic
196C23×Dic5C2311yescharacteristic
197C23×Dic5C2311yescharacteristic
198C23×Dic5C2311yescharacteristic
199C22×Dic10C2311yescharacteristic
200C22×Dic10C2311yescharacteristic
201C22×Dic10C2311yescharacteristic
202C4×C5×D4Q818yescomplemented
203C2×C5×C4⋊C4C2311yescharacteristic
204C2×C5×C4⋊C4C2311yescharacteristic
205C2×C5×C4⋊C4C2311yescharacteristic
206C2×C5×C4⋊C4C2311yescharacteristic
207C2×C5×C4⋊C4C2311yescharacteristic
208C2×C5×C22⋊C4C2311yescharacteristic
209C2×C5×C22⋊C4C2311yescharacteristic
210C2×C5×C22⋊C4C2311yescharacteristic
211C2×C5×C22⋊C4C2311yescharacteristic
212C2×C5×C22⋊C4C2311yescharacteristic
213C2×C5×C22⋊C4C2311yescharacteristic
214C2×C5×C22⋊C4C2311yescharacteristic
215C2×C5×C22⋊C4C2311yescharacteristic
216C2×C42×C5C2311yescharacteristic
217C2×C42×C5C2311yescharacteristic
218C2×C42×C5C2311yescharacteristic
219C2×C22⋊Dic5C2311yescharacteristic
220C2×C22⋊Dic5C2311yescharacteristic
221C2×C22⋊Dic5C2311yescharacteristic
222C2×C22⋊Dic5C2311yescharacteristic
223C2×C22⋊Dic5C2311yescharacteristic
224C2×C22⋊Dic5C2311yescharacteristic
225C2×C22⋊Dic5C2311yescharacteristic
226C2×C22⋊Dic5C2311yescharacteristic
227C2×C22⋊Dic5C2311yescharacteristic
228C2×C22⋊Dic5C2311yescharacteristic
229D4×Dic5—24no—
230D4×Dic5—24no—
231C2×C4⋊Dic5—42no—
232C2×C4⋊Dic5C2311yescharacteristic
233C2×C4⋊Dic5C2311yescharacteristic
234C2×C4⋊Dic5C2311yescharacteristic
235C2×C4⋊Dic5C2311yescharacteristic
236C2×C4⋊Dic5C2311yescharacteristic
237C2×C4⋊Dic5C2311yescharacteristic
238C2×C4⋊Dic5C2311yescharacteristic
239C2×C4⋊Dic5C2311yescharacteristic
240C2×C4⋊Dic5C2311yescharacteristic
241C2×C4⋊Dic5C2311yescharacteristic
242C2×C4⋊Dic5C2311yescharacteristic
243C2×C4⋊Dic5C2311yescharacteristic
244C2×C4⋊Dic5C2311yescharacteristic
245C2×C4⋊Dic5C2311yescharacteristic
246C2×C4⋊Dic5C2311yescharacteristic
247C2×C4⋊Dic5C2311yescharacteristic
248C2×C4⋊Dic5C2311yescharacteristic
249C2×C4⋊Dic5C2311yescharacteristic
250C2×C4⋊Dic5C2311yescharacteristic
251#4070—24no—
252C2×#683—24no—
253C2×#683—42no—
254C2×#683—42no—
255C2×#683C2311yescharacteristic
256C2×#683C2311yescharacteristic
257C2×#683C2311yescharacteristic
258C2×#683C2311yescharacteristic
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×#683C2311yescharacteristic
284C2×#683C2311yescharacteristic
285C2×C4×Dic5—42no—
286C2×C4×Dic5—42no—
287C2×C4×Dic5C2311yescharacteristic
288C2×C4×Dic5C2311yescharacteristic
289C2×C4×Dic5C2311yescharacteristic
290C2×C4×Dic5C2311yescharacteristic
291C2×C4×Dic5C2311yescharacteristic
292C2×C4×Dic5C2311yescharacteristic
293C2×C4×Dic5C2311yescharacteristic
294C2×C4×Dic5C2311yescharacteristic
295C2×C4×Dic5C2311yescharacteristic
296C2×C4×Dic5C2311yescharacteristic
297C2×C4×Dic5C2311yescharacteristic
298C2×C4×Dic5C2311yescharacteristic
299C2×C4×Dic5C2311yescharacteristic
300C2×C4×Dic5C2311yescharacteristic
301#4036—42no—
302#4036—42no—
303#4034—42no—
304#4024—24no—
305#4024—24no—
306#4024—42no—
307#4024—42no—
308#4024—42no—
309C4×Dic10—42no—
310C5×#95C2311yescharacteristic
311C5×#95C2311yescharacteristic
312C5×#95C2311yescharacteristic
313C5×#95C2311yescharacteristic
314C5×#95C2311yescharacteristic
315C5×#95C2311yescharacteristic
316C5×#95C2311yescharacteristic
317C5×#95C2311yescharacteristic
318C5×#95C2311yescharacteristic
319C5×#95C2311yescharacteristic
320C5×#95C2311yescharacteristic
321C5×#95C2311yescharacteristic
322C5×#95C2311yescharacteristic
323C5×#95C2311yescharacteristic
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#3963C2311yescharacteristic
359#3963C2311yescharacteristic
360#3963C2311yescharacteristic
361#3963C2311yescharacteristic
362#2863—51no—
363#2859—51no—
364#2857—51no—
365#2855—51no—
366#2667—51no—
367#2667—51no—
368#2666—51no—
369#2666—51no—
370#2585—51no—
371#2585—51no—
372#2556—51no—
373#2556—51no—
374#2507—51no—
375#2502—51no—
376#2497—51no—
377#2487—51no—
378#2473—51no—
379#2473—51no—
380#2451—51no—
381#2449—51no—
382#2449—51no—
383#2440—51no—
384#2423—51no—
385#2417—51no—
386#2329—51no—
387#2329—51no—
388#2318—51no—
389#2318D511yescharacteristic
390C4×C22⋊Q8—51no—
391C2×#389—51no—
392C42×D4—51no—
393C24×C5C2411yescharacteristic
394C24×C5C2411yescharacteristic
395C2×C5×D4—22no—
396C2×C5×D4—22no—
397C2×C5×D4C2×Q814yes—
398C22×C4×C5—22no—
399C22×C4×C5—22no—
400C22×C4×C5—41no—
401C22×C4×C5—41no—
402C22×C4×C5—41no—
403C22×C4×C5—41no—
404C22×C4×C5—41no—
405C22×C4×C5—41no—
406C22×C4×C5—41no—
407C22×C4×C5—41no—
408C22×C4×C5C2×Q814yes—
409C22×C4×C5C2×Q814yes—
410C22×C4×C5C2411yescharacteristic
411C22×C4×C5C2411yescharacteristic
412C22×C4×C5C2411yescharacteristic
413C22×C4×C5C2411yescharacteristic
414C22×C4×C5C2411yescharacteristic
415C22×C4×C5C2411yescharacteristic
416C22×C4×C5C2411yescharacteristic
417C22×C4×C5C2411yescharacteristic
418C22×C4×C5C2411yescharacteristic
419C22×C4×C5C2411yescharacteristic
420C22×C4×C5C2411yescharacteristic
421C22×C4×C5C2411yescharacteristic
422C22×C4×C5C2411yescharacteristic
423C22×Dic5—22no—
424C22×Dic5—22no—
425C22×Dic5—22no—
426C22×Dic5—22no—
427C22×Dic5—22no—
428C22×Dic5—22no—
429C22×Dic5—22no—
430C22×Dic5—22no—
431C22×Dic5—22no—
432C22×Dic5—22no—
433C22×Dic5—22no—
434C22×Dic5—41no—
435C22×Dic5—41no—
436C22×Dic5—41no—
437C22×Dic5—41no—
438C22×Dic5—41no—
439C22×Dic5—41no—
440C22×Dic5#4114yes—
441C22×Dic5C2411yescharacteristic
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
457C2×Dic10—22no—
458C2×Dic10—22no—
459C2×Dic10—22no—
460C2×Dic10—22no—
461C2×Dic10—22no—
462C2×Dic10—41no—
463C2×Dic10—41no—
464C2×Dic10—41no—
465C2×Dic10—41no—
466C5×C4⋊C4—41no—
467C5×C4⋊C4—41no—
468C5×C4⋊C4—41no—
469C5×C4⋊C4—41no—
470C5×C4⋊C4C2×Q814yes—
471C5×C22⋊C4—22no—
472C5×C22⋊C4—22no—
473C5×C22⋊C4—41no—
474C5×C22⋊C4—41no—
475C5×C22⋊C4—41no—
476C5×C22⋊C4—41no—
477C5×C22⋊C4C2×Q814yes—
478C5×C22⋊C4C2×Q814yes—
479C42×C5—41no—
480C42×C5—41no—
481C42×C5C2×Q814yes—
482C22⋊Dic5—22no—
483C22⋊Dic5—22no—
484C22⋊Dic5—22no—
485C22⋊Dic5—22no—
486C22⋊Dic5—22no—
487C22⋊Dic5—41no—
488C22⋊Dic5—41no—
489C22⋊Dic5—41no—
490C22⋊Dic5—41no—
491C22⋊Dic5#4114yes—
492C4⋊Dic5—22no—
493C4⋊Dic5—22no—
494C4⋊Dic5—22no—
495C4⋊Dic5—22no—
496C4⋊Dic5—22no—
497C4⋊Dic5—22no—
498C4⋊Dic5—22no—
499C4⋊Dic5—22no—
500C4⋊Dic5—41no—
501C4⋊Dic5—41no—
502C4⋊Dic5—41no—
503C4⋊Dic5—41no—
504C4⋊Dic5—41no—
505C4⋊Dic5—41no—
506C4⋊Dic5—41no—
507C4⋊Dic5—41no—
508C4⋊Dic5—41no—
509C4⋊Dic5—41no—
510C4⋊Dic5—41no—
511#683—22no—
512#683—22no—
513#683—22no—
514#683—22no—
515#683—22no—
516#683—22no—
517#683—22no—
518#683—22no—
519#683—22no—
520#683—22no—
521#683—22no—
522#683—22no—
523#683—22no—
524#683—22no—
525#683—22no—
526#683—22no—
527#683—22no—
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—
540#683—41no—
541C4×Dic5—22no—
542C4×Dic5—22no—
543C4×Dic5—22no—
544C4×Dic5—22no—
545C4×Dic5—22no—
546C4×Dic5—22no—
547C4×Dic5—22no—
548C4×Dic5—41no—
549C4×Dic5—41no—
550C4×Dic5—41no—
551C4×Dic5—41no—
552C4×Dic5—41no—
553C4×Dic5—41no—
554C4×Dic5—41no—
555C2×C4⋊Q8—51no—
556C2×#125—51no—
557C2×#125—51no—
558C2×C22⋊Q8—51no—
559C2×C22⋊Q8—51no—
560C2×C22⋊Q8—51no—
561C2×C22⋊Q8—51no—
562C2×C22⋊Q8—51no—
563C2×C22⋊Q8—51no—
564C2×C4×Q8—51no—
565C2×C4×D4—51no—
566C2×C4×D4—51no—
567C2×C4×D4C2×D511yescharacteristic
568C22×C4⋊C4—51no—
569C22×C4⋊C4—51no—
570C22×C4⋊C4—51no—
571C22×C4⋊C4—51no—
572C22×C42—51no—
573C22×C42—51no—
574#400—51no—
575#400—51no—
576#400—51no—
577#400—51no—
578#399—51no—
579#399—51no—
580#399—51no—
581#399—51no—
582#398—51no—
583#398—51no—
584#398—51no—
585#398—51no—
586#398—51no—
587#398—51no—
588#398—51no—
589#398—51no—
590#398—51no—
591#398—51no—
592#398—51no—
593#398—51no—
594#398—51no—
595#398—51no—
596#398—51no—
597#398—51no—
598#396—51no—
599#396—51no—
600#396—51no—
601#396—51no—
602#395—51no—
603#395—51no—
604#395—51no—
605#395—51no—
606#391—51no—
607#391—51no—
608#391—51no—
609#391—51no—
610#391—51no—
611#391—51no—
612#391—51no—
613#391—51no—
614#389—51no—
615#389—51no—
616#389—51no—
617#389—51no—
618#389—51no—
619#389—51no—
620#389—51no—
621#389—51no—
622#389—51no—
623#389—51no—
624#389—51no—
625#389—51no—
626#389—51no—
627#389—51no—
628#389—51no—
629#389—51no—
630#389—51no—
631#389—51no—
632#389—51no—
633#389—51no—
634#389—51no—
635#389—51no—
636#388—51no—
637#388—51no—
638#388C2×D511yescharacteristic
639#388C2×D511yescharacteristic
640#387—51no—
641#387—51no—
642#387—51no—
643#387—51no—
644#387—51no—
645#387—51no—
646#387—51no—
647#387—51no—
648#387—51no—
649#387—51no—
650#387—51no—
651#387—51no—
652#387—51no—
653#387—51no—
654#387—51no—
655#387—51no—
656#387—51no—
657#387—51no—
658#387C2×D511yescharacteristic
659#387C2×D511yescharacteristic
660#386—51no—
661#386—51no—
662#386C2×D511yescharacteristic
663#386C2×D511yescharacteristic
664#385—51no—
665#385—51no—
666#385—51no—
667#385—51no—
668#385—51no—
669#385—51no—
670#385—51no—
671#385—51no—
672#385—51no—
673#385—51no—
674#385C2×D511yescharacteristic
675#385C2×D511yescharacteristic
676#384—51no—
677#384—51no—
678#384—51no—
679#383—51no—
680#383C2×D511yescharacteristic
681#382—51no—
682#382C2×D511yescharacteristic
683#381—51no—
684#381C2×D511yescharacteristic
685#380—51no—
686#380—51no—
687#380—51no—
688#380—51no—
689#380—51no—
690#380—51no—
691#380—51no—
692#380C2×D511yescharacteristic
693C4×C4⋊C4—51no—
694C4×C4⋊C4—51no—
695C4×C4⋊C4—51no—
696C4×C4⋊C4—51no—
697C4×C4⋊C4—51no—
698C4×C4⋊C4—51no—
699C4×C22⋊C4—51no—
700C4×C22⋊C4—51no—
701C4×C22⋊C4—51no—
702C4×C22⋊C4—51no—
703C4×C22⋊C4—51no—
704C4×C22⋊C4—51no—
705C4×C22⋊C4—51no—
706C4×C22⋊C4C2×D511yescharacteristic
707C2×#95—51no—
708C2×#95C2×D511yescharacteristic
709C43—51no—
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—21no—
719C23×C5—21no—
720C23×C5C22×Q812yes—
721C23×C5C22×Q812yes—
722C23×C5C2×#4112yes—
723C23×C5C2×#4112yes—
724C23×C5C2511yescharacteristic
725C5×D4—28no—
726C2×C4×C5—21no—
727C2×C4×C5—21no—
728C2×C4×C5—21no—
729C2×C4×C5—21no—
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—44no—
761C2×C4×C5—44no—
762C2×C4×C5—44no—
763C2×C4×C5—82no—
764C2×C4×C5C22×Q812yes—
765C2×C4×C5C22×Q812yes—
766C2×C4×C5C22×Q812yes—
767C2×C4×C5C22×Q812yes—
768C2×C4×C5C22×Q812yes—
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—28no—
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—44no—
812C2×Dic5—44no—
813C2×Dic5—44no—
814C2×Dic5—44no—
815C2×Dic5—82no—
816C2×Dic5C2×#4112yes—
817C2×Dic5C2×#4112yes—
818C2×Dic5C2×#4112yes—
819C2×Dic5C2×#4112yes—
820C2×Dic5H(5,𝔽2)12yes—
821C2×Dic5H(5,𝔽2)12yes—
822C2×Dic52−1+412yes—
823Dic10—44no—
824Dic10—82no—
825Dic10—82no—
826C22×Q8—51no—
827C22×Q8—51no—
828C22×Q8—51no—
829C22×D4C22×D511yescharacteristic
830C23×C4—51no—
831C23×C4—51no—
832C23×C4—51no—
833C23×C4—51no—
834C23×C4—51no—
835C23×C4—51no—
836C23×C4C22×D511yescharacteristic
837C23×C4C22×D511yescharacteristic
838C23×C4C22×D511yescharacteristic
839C23×C4C22×D511yescharacteristic
840C4⋊Q8—202no—
841#125—202no—
842#125—202no—
843C22⋊Q8—104no—
844C22⋊Q8—104no—
845C22⋊Q8—104no—
846C22⋊Q8—202no—
847C22⋊Q8—202no—
848C22⋊Q8—202no—
849C4×Q8—202no—
850C4×D4—104no—
851C4×D4—104no—
852C4×D4Dic1018yescomplemented
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⋊C4—51no—
889C2×C4⋊C4—51no—
890C2×C4⋊C4—51no—
891C2×C4⋊C4—51no—
892C2×C4⋊C4—51no—
893C2×C4⋊C4—51no—
894C2×C4⋊C4—51no—
895C2×C4⋊C4—51no—
896C2×C4⋊C4—51no—
897C2×C4⋊C4—51no—
898C2×C4⋊C4—51no—
899C2×C4⋊C4—51no—
900C2×C4⋊C4—51no—
901C2×C4⋊C4—51no—
902C2×C4⋊C4—104no—
903C2×C4⋊C4—202no—
904C2×C4⋊C4—202no—
905C2×C4⋊C4—202no—
906C2×C4⋊C4C22×D511yescharacteristic
907C2×C4⋊C4C22×D511yescharacteristic
908C2×C4⋊C4C22×D511yescharacteristic
909C2×C4⋊C4C22×D511yescharacteristic
910C2×C4⋊C4C22×D511yescharacteristic
911C2×C22⋊C4—51no—
912C2×C22⋊C4—51no—
913C2×C22⋊C4—51no—
914C2×C22⋊C4—51no—
915C2×C22⋊C4—51no—
916C2×C22⋊C4—51no—
917C2×C22⋊C4—51no—
918C2×C22⋊C4—51no—
919C2×C22⋊C4—51no—
920C2×C22⋊C4—51no—
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×C22⋊C4C22×D511yescharacteristic
929C2×C42—51no—
930C2×C42—51no—
931C2×C42—51no—
932C2×C42—51no—
933C2×C42—51no—
934C2×C42—51no—
935C2×C42—51no—
936C2×C42—51no—
937C2×C42—51no—
938C2×C42—51no—
939C2×C42—51no—
940C2×C42—51no—
941C2×C42—51no—
942C2×C42—51no—
943C2×C42—202no—
944C2×C42—202no—
945C2×C42C22×D511yescharacteristic
946C2×C42C22×D511yescharacteristic
947C2×C42C22×D511yescharacteristic
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#95C22×D511yescharacteristic
987#95C22×D511yescharacteristic
988#95C22×D511yescharacteristic
989#95C22×D511yescharacteristic
990#95C22×D511yescharacteristic
991#95C22×D511yescharacteristic
992#95C22×D511yescharacteristic
993#95C22×D511yescharacteristic
994#95C22×D511yescharacteristic
995#95C22×D511yescharacteristic
996#95C22×D511yescharacteristic
997#95C22×D511yescharacteristic
998#95C22×D511yescharacteristic
999#95C22×D511yescharacteristic
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—22no—
1009C22×C5—41no—
1010C22×C5—41no—
1011C22×C5—41no—
1012C22×C5—41no—
1013C22×C5#53314yes—
1014C22×C5C23×Q811yescharacteristic
1015C22×C5C22×#4111yescharacteristic
1016C22×C5C22×#4111yescharacteristic
1017C22×C5C2×H(5,𝔽2)11yescharacteristic
1018C22×C5C2×H(5,𝔽2)11yescharacteristic
1019C22×C5C2×2−1+411yescharacteristic
1020C22×C5#58511yescharacteristic
1021C4×C5—22no—
1022C4×C5—22no—
1023C4×C5—22no—
1024C4×C5—22no—
1025C4×C5—22no—
1026C4×C5—41no—
1027C4×C5—41no—
1028C4×C5—41no—
1029C4×C5—41no—
1030C4×C5—41no—
1031C4×C5—41no—
1032C4×C5—41no—
1033C4×C5—41no—
1034Dic5—22no—
1035Dic5—22no—
1036Dic5—22no—
1037Dic5—22no—
1038Dic5—41no—
1039Dic5—41no—
1040Dic5—41no—
1041Dic5—41no—
1042Dic5—41no—
1043Dic5—41no—
1044Dic5—41no—
1045Dic5—41no—
1046Dic5—41no—
1047Dic5—41no—
1048Dic5—41no—
1049Dic5#53914yes—
1050C24C23×D511yescharacteristic
1051C24C23×D511yescharacteristic
1052C2×Q8—102no—
1053C2×Q8—102no—
1054C2×Q8—102no—
1055C2×Q8—102no—
1056C2×Q8—102no—
1057C2×Q8—201no—
1058C2×Q8—201no—
1059C2×Q8—201no—
1060C2×Q8—201no—
1061C2×D4—22no—
1062C2×D4—22no—
1063C2×D4C2×Dic1014yes—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—41no—
1067C22×C4—41no—
1068C22×C4—41no—
1069C22×C4—41no—
1070C22×C4—41no—
1071C22×C4—41no—
1072C22×C4—41no—
1073C22×C4—41no—
1074C22×C4—51no—
1075C22×C4—54no—
1076C22×C4—51no—
1077C22×C4—51no—
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—102no—
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—201no—
1103C22×C4—201no—
1104C22×C4—201no—
1105C22×C4—201no—
1106C22×C4—201no—
1107C22×C4—201no—
1108C22×C4C2×Dic1014yes—
1109C22×C4C2×Dic1014yes—
1110C22×C4C23×D511yescharacteristic
1111C22×C4C23×D511yescharacteristic
1112C22×C4C23×D511yescharacteristic
1113C22×C4C23×D511yescharacteristic
1114C22×C4C23×D511yescharacteristic
1115C22×C4C23×D511yescharacteristic
1116C22×C4C23×D511yescharacteristic
1117C22×C4C23×D511yescharacteristic
1118C22×C4C23×D511yescharacteristic
1119C22×C4C23×D511yescharacteristic
1120C22×C4C23×D511yescharacteristic
1121C22×C4C23×D511yescharacteristic
1122C22×C4C23×D511yescharacteristic
1123C4⋊C4—41no—
1124C4⋊C4—41no—
1125C4⋊C4—41no—
1126C4⋊C4—41no—
1127C4⋊C4—102no—
1128C4⋊C4—102no—
1129C4⋊C4—102no—
1130C4⋊C4—102no—
1131C4⋊C4—102no—
1132C4⋊C4—102no—
1133C4⋊C4—102no—
1134C4⋊C4—102no—
1135C4⋊C4—102no—
1136C4⋊C4—102no—
1137C4⋊C4—102no—
1138C4⋊C4—102no—
1139C4⋊C4—102no—
1140C4⋊C4—102no—
1141C4⋊C4—102no—
1142C4⋊C4—102no—
1143C4⋊C4—102no—
1144C4⋊C4—102no—
1145C4⋊C4—102no—
1146C4⋊C4—102no—
1147C4⋊C4—102no—
1148C4⋊C4—102no—
1149C4⋊C4—102no—
1150C4⋊C4—102no—
1151C4⋊C4—102no—
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—
1170C4⋊C4—201no—
1171C4⋊C4—201no—
1172C4⋊C4—201no—
1173C4⋊C4—201no—
1174C4⋊C4—201no—
1175C4⋊C4—201no—
1176C4⋊C4C2×Dic1014yes—
1177C22⋊C4—22no—
1178C22⋊C4—22no—
1179C22⋊C4—41no—
1180C22⋊C4—41no—
1181C22⋊C4—41no—
1182C22⋊C4—41no—
1183C22⋊C4—54no—
1184C22⋊C4—102no—
1185C22⋊C4—102no—
1186C22⋊C4—102no—
1187C22⋊C4—102no—
1188C22⋊C4—102no—
1189C22⋊C4—201no—
1190C22⋊C4—201no—
1191C22⋊C4—201no—
1192C22⋊C4—201no—
1193C22⋊C4C2×Dic1014yes—
1194C22⋊C4C2×Dic1014yes—
1195C42—41no—
1196C42—41no—
1197C42—102no—
1198C42—102no—
1199C42—102no—
1200C42—102no—
1201C42—102no—
1202C42—102no—
1203C42—102no—
1204C42—201no—
1205C42—201no—
1206C42—201no—
1207C42—201no—
1208C42—201no—
1209C42—201no—
1210C42—201no—
1211C42C2×Dic1014yes—
1212C2×C5—24no—
1213C2×C5—42no—
1214C2×C5C2×#53311yescharacteristic
1215C2×C5C2×#53911yescharacteristic
1216C2×C5#346011yescharacteristic
1217C2×C5#350111yescharacteristic
1218C2×C5#350311yescharacteristic
1219C2×C5#351511yescharacteristic
1220C2×C5#351911yescharacteristic
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23C22×Dic1012yes—
1232C23C22×Dic1012yes—
1233C23D5×#4112yes—
1234C23D5×#4112yes—
1235C23C24×D511yescharacteristic
1236Q8—204no—
1237Q8—402no—
1238Q8—402no—
1239D4—28no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
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—44no—
1275C2×C4—44no—
1276C2×C4—44no—
1277C2×C4—52no—
1278C2×C4—52no—
1279C2×C4—52no—
1280C2×C4—52no—
1281C2×C4—52no—
1282C2×C4—52no—
1283C2×C4—52no—
1284C2×C4—82no—
1285C2×C4—108no—
1286C2×C4—101no—
1287C2×C4—101no—
1288C2×C4—101no—
1289C2×C4—101no—
1290C2×C4—101no—
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—204no—
1328C2×C4—204no—
1329C2×C4—204no—
1330C2×C4—204no—
1331C2×C4—402no—
1332C2×C4C22×Dic1012yes—
1333C2×C4C22×Dic1012yes—
1334C2×C4C22×Dic1012yes—
1335C2×C4C22×Dic1012yes—
1336C2×C4C22×Dic1012yes—
1337C5#3501711yescharacteristic, complemented, Sylow
1338C22—22no—
1339C22—22no—
1340C22—22no—
1341C22—22no—
1342C22—22no—
1343C22—22no—
1344C22—22no—
1345C22—22no—
1346C22—22no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22#6585114yes—
1352C22C23×Dic1011yescharacteristic
1353C22C2×D5×#4111yescharacteristic
1354C22C2×D5×#4111yescharacteristic
1355C22D5×H(5,𝔽2)11yescharacteristic
1356C22D5×H(5,𝔽2)11yescharacteristic
1357C22#6628511yescharacteristic
1358C22D5×2−1+411yescharacteristic
1359C4—22no—
1360C4—22no—
1361C4—22no—
1362C4—22no—
1363C4—22no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—54no—
1373C4—102no—
1374C4—102no—
1375C4—102no—
1376C4—102no—
1377C4—201no—
1378C4—201no—
1379C4—201no—
1380C4—201no—
1381C4—201no—
1382C4—201no—
1383C4—201no—
1384C4—201no—
1385C4—201no—
1386C4—201no—
1387C4—201no—
1388C2—24no—
1389C2—42no—
1390C2C2×#6585111yescharacteristic
1391C2#1061776111yescharacteristic
1392C2#1061779011yescharacteristic
1393C2#1061829011yescharacteristic
1394C2#1061831811yescharacteristic
1395C2#1061833311yescharacteristic
1396C2D5×#53911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2318C2
prime radicalC22×C5×D4C23
hypercenter#2318D5
hypocenterC5#35017
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2318

Complements

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

NH ≅ G/Ntype
4. #10607330C2semidirect
5. #10607329C2semidirect
6. #10607281C2semidirect
7. #10607229C2semidirect
8. #10606824C2semidirect
9. #10606822C2semidirect
10. #10606758C2semidirect
11. #10606718C2semidirect
16. #10606191C2semidirect
17. #10606174C2semidirect
18. #10606173C2semidirect
19. #10606147C2semidirect
20. #10606024C2semidirect
21. #10606010C2semidirect
22. #10605951C2semidirect
23. #10605928C2semidirect
24. #10605848C2semidirect
25. #10605824C2semidirect
26. #10605732C2semidirect
27. #10605690C2semidirect
28. #10605178C2semidirect
29. C4×#4024C2semidirect
30. #10605065C2semidirect
31. C2×#64936C2semidirect
202. C4×C5×D4Q8semidirect
852. C4×D4Dic10semidirect
1337. C5#35017semidirect

Maximal subgroups

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

subgroupindex
C5×#23182
#106140552
C4×D4×Dic52
#106073302
#106073292
#106072812
#106072292
#106068242
#106068222
#106067582
#106067182
#106064692
#106064412
#106064402
#106064242
#106061912
#106061742
#106061732
#106061472
#106060242
#106060102
#106059512
#106059282
#106058482
#106058242
#106057322
#106056902
#106051782
C4×#40242
#106050652
C2×#649362
#350175