Finite Group Databasebeta

← C2×#21430181 #28755345

Subgroups — C2×#21430181 #28755345

Order 15104.

1962 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21430181C2116yesmaximal, direct product factor
2C2×#16837343C211yesmaximal, characteristic, complemented
3C2×#16837343C211yesmaximal, characteristic, complemented
4C2×#16837338C211yesmaximal, characteristic
5C2×#16837336C211yesmaximal, characteristic, complemented
6C2×#16837335C211yesmaximal, characteristic, complemented
7C2×#16837330C211yesmaximal, characteristic
8C2×#16837325C211yesmaximal, characteristic
9C2×#16837297C211yesmaximal, characteristic, complemented
10C2×#16837296C211yesmaximal, characteristic
11C2×#16837290C211yesmaximal, characteristic
12C2×#16837290C211yesmaximal, characteristic
13C2×#16837289C211yesmaximal, characteristic, complemented
14C2×#16837285C211yesmaximal, characteristic, complemented
15C2×#16837253C211yesmaximal, characteristic, complemented
16C2×C59×#397C211yesmaximal, characteristic
17C22×C4⋊Dic59C2211yescharacteristic
18C22×C4⋊Dic59C2211yescharacteristic
19C22×Dic59⋊C4C2211yescharacteristic
20C22×Dic59⋊C4C2211yescharacteristic
21C22×Dic59⋊C4C2211yescharacteristic
22C22×Dic59⋊C4C2211yescharacteristic
23C22×Dic59⋊C4C2211yescharacteristic
24C22×Dic59⋊C4C2211yescharacteristic
25C22×Dic59⋊C4C2211yescharacteristic
26C22×Dic59⋊C4C2211yescharacteristic
27C22×C22⋊Dic59C2211yescharacteristic
28C22×C22⋊Dic59C2211yescharacteristic
29C22×C22⋊Dic59C2211yescharacteristic
30C22×C22⋊Dic59C2211yescharacteristic
31C22×C4×Dic59C2211yescharacteristic
32C22×C4×Dic59C2211yescharacteristic
33C22×C4×Dic59C2211yescharacteristic
34#16837343C2218yescomplemented
35#16837343C2218yescomplemented
36#16837338C2218yes—
37#16837336C2218yescomplemented
38#16837335C2218yescomplemented
39#16837330C2218yes—
40#16837325C2218yes—
41#16837297C2218yescomplemented
42#16837296C2218yes—
43#16837290C2218yes—
44#16837290C2218yes—
45#16837289C2218yescomplemented
46#16837285C2218yescomplemented
47#16837253C2218yescomplemented
48C2×C59⋊#95C2211yescharacteristic
49C2×C59⋊#95C2211yescharacteristic
50C2×C59⋊#95C2211yescharacteristic
51C2×C59⋊#95C2211yescharacteristic
52C2×C59⋊#95C2211yescharacteristic
53C2×C59⋊#95C2211yescharacteristic
54C2×C59⋊#95C2211yescharacteristic
55C2×C59⋊#95C2211yescharacteristic
56C2×C59⋊#95C2211yescharacteristic
57C2×C59⋊#95C2211yescharacteristic
58C2×C59⋊#95C2211yescharacteristic
59C22×C4⋊C4×C59C2211yescharacteristic
60C22×C22⋊C4×C59C2211yescharacteristic
61C22×C22⋊C4×C59C2211yescharacteristic
62C22×C22⋊C4×C59C2211yescharacteristic
63C59×#397C2218yes—
64C2×#95×C59C2211yescharacteristic
65C2×#95×C59C2211yescharacteristic
66C2×#95×C59C2211yescharacteristic
67C23×Dic59C2311yescharacteristic
68C23×Dic59C2311yescharacteristic
69C23×Dic59C2311yescharacteristic
70C23×Dic59C2311yescharacteristic
71C23×Dic59C2311yescharacteristic
72C23×Dic59C2311yescharacteristic
73C23×Dic59C2311yescharacteristic
74C23×Dic59C2311yescharacteristic
75C2×C4⋊Dic59—24no—
76C2×C4⋊Dic59—42no—
77C2×C4⋊Dic59C2314yes—
78C2×C4⋊Dic59C2314yes—
79C2×Dic59⋊C4—24no—
80C2×Dic59⋊C4—24no—
81C2×Dic59⋊C4—24no—
82C2×Dic59⋊C4—24no—
83C2×Dic59⋊C4—42no—
84C2×Dic59⋊C4—42no—
85C2×Dic59⋊C4—42no—
86C2×Dic59⋊C4—42no—
87C2×Dic59⋊C4C2314yes—
88C2×Dic59⋊C4C2314yes—
89C2×Dic59⋊C4C2314yes—
90C2×Dic59⋊C4C2314yes—
91C2×Dic59⋊C4C2314yes—
92C2×Dic59⋊C4C2314yes—
93C2×Dic59⋊C4C2314yes—
94C2×Dic59⋊C4C2314yes—
95C2×C22⋊Dic59—24no—
96C2×C22⋊Dic59—24no—
97C2×C22⋊Dic59—24no—
98C2×C22⋊Dic59—42no—
99C2×C22⋊Dic59C2314yes—
100C2×C22⋊Dic59C2314yes—
101C2×C22⋊Dic59C2314yes—
102C2×C22⋊Dic59C2314yes—
103C2×C4×Dic59—24no—
104C2×C4×Dic59—42no—
105C2×C4×Dic59—42no—
106C2×C4×Dic59C2314yes—
107C2×C4×Dic59C2314yes—
108C2×C4×Dic59C2314yes—
109C59⋊#95C2314yes—
110C59⋊#95C2314yes—
111C59⋊#95C2314yes—
112C59⋊#95C2314yes—
113C59⋊#95C2314yes—
114C59⋊#95C2314yes—
115C59⋊#95C2314yes—
116C59⋊#95C2314yes—
117C59⋊#95C2314yes—
118C59⋊#95C2314yes—
119C59⋊#95C2314yes—
120C25×C59C2311yescharacteristic
121C23×C4×C59C2311yescharacteristic
122C23×C4×C59C2311yescharacteristic
123C23×C4×C59C2311yescharacteristic
124C23×C4×C59C2311yescharacteristic
125C23×C4×C59C2311yescharacteristic
126C23×C4×C59C2311yescharacteristic
127C2×C4⋊C4×C59—42no—
128C2×C4⋊C4×C59C2314yes—
129C2×C22⋊C4×C59—42no—
130C2×C22⋊C4×C59—42no—
131C2×C22⋊C4×C59—42no—
132C2×C22⋊C4×C59C2314yes—
133C2×C22⋊C4×C59C2314yes—
134C2×C22⋊C4×C59C2314yes—
135#95×C59C2314yes—
136#95×C59C2314yes—
137#95×C59C2314yes—
138C24×C59—22no—
139C24×C59—22no—
140C24×C59—22no—
141C24×C59—22no—
142C24×C59—22no—
143C24×C59—22no—
144C24×C59—22no—
145C24×C59C2412yes—
146C24×C59C2411yescharacteristic
147C22×C4×C59—22no—
148C22×C4×C59—22no—
149C22×C4×C59—22no—
150C22×C4×C59—22no—
151C22×C4×C59—22no—
152C22×C4×C59—22no—
153C22×C4×C59—22no—
154C22×C4×C59—22no—
155C22×C4×C59—22no—
156C22×C4×C59—22no—
157C22×C4×C59—22no—
158C22×C4×C59—22no—
159C22×C4×C59—22no—
160C22×C4×C59—22no—
161C22×C4×C59—22no—
162C22×C4×C59—22no—
163C22×C4×C59—22no—
164C22×C4×C59—22no—
165C22×C4×C59C2412yes—
166C22×C4×C59C2412yes—
167C22×C4×C59C2412yes—
168C22×C4×C59C2412yes—
169C22×C4×C59C2412yes—
170C22×C4×C59C2412yes—
171C22×Dic59—22no—
172C22×Dic59—22no—
173C22×Dic59—22no—
174C22×Dic59—22no—
175C22×Dic59—22no—
176C22×Dic59—22no—
177C22×Dic59—22no—
178C22×Dic59—22no—
179C22×Dic59—22no—
180C22×Dic59—22no—
181C22×Dic59—22no—
182C22×Dic59—22no—
183C22×Dic59—22no—
184C22×Dic59—22no—
185C22×Dic59—22no—
186C22×Dic59—22no—
187C22×Dic59—22no—
188C22×Dic59—22no—
189C22×Dic59—22no—
190C22×Dic59—22no—
191C22×Dic59—22no—
192C22×Dic59#4114yes—
193C22×Dic59#4114yes—
194C22×Dic59#4114yes—
195C22×Dic59C2412yes—
196C22×Dic59C2412yes—
197C22×Dic59C2412yes—
198C22×Dic59C2412yes—
199C22×Dic59C2412yes—
200C22×Dic59C2412yes—
201C22×Dic59C2412yes—
202C22×Dic59C2412yes—
203C4⋊C4×C59—44no—
204C22⋊C4×C59—44no—
205C22⋊C4×C59—44no—
206C22⋊C4×C59—44no—
207C22⋊Dic59—28no—
208C22⋊Dic59—28no—
209C22⋊Dic59—28no—
210C22⋊Dic59—44no—
211C4⋊Dic59—28no—
212C4⋊Dic59—44no—
213Dic59⋊C4—28no—
214Dic59⋊C4—28no—
215Dic59⋊C4—28no—
216Dic59⋊C4—28no—
217Dic59⋊C4—44no—
218Dic59⋊C4—44no—
219Dic59⋊C4—44no—
220Dic59⋊C4—44no—
221C4×Dic59—28no—
222C4×Dic59—44no—
223C4×Dic59—44no—
224C23×C59—22no—
225C23×C59—22no—
226C23×C59—22no—
227C23×C59—22no—
228C23×C59—22no—
229C23×C59—22no—
230C23×C59—22no—
231C23×C59—44no—
232C23×C59—44no—
233C23×C59—44no—
234C23×C59—44no—
235C23×C59—44no—
236C23×C59—44no—
237C23×C59—44no—
238C23×C59C2×#4112yes—
239C23×C59C2×#4112yes—
240C23×C59C2×#4112yes—
241C23×C59H(5,𝔽2)12yes—
242C23×C59H(5,𝔽2)12yes—
243C23×C592−1+412yes—
244C23×C592−1+412yes—
245C23×C59C2511yescharacteristic
246C2×C4×C59—22no—
247C2×C4×C59—22no—
248C2×C4×C59—22no—
249C2×C4×C59—22no—
250C2×C4×C59—22no—
251C2×C4×C59—22no—
252C2×C4×C59—22no—
253C2×C4×C59—22no—
254C2×C4×C59—22no—
255C2×C4×C59—22no—
256C2×C4×C59—22no—
257C2×C4×C59—22no—
258C2×C4×C59—22no—
259C2×C4×C59—22no—
260C2×C4×C59—22no—
261C2×C4×C59—22no—
262C2×C4×C59—22no—
263C2×C4×C59—22no—
264C2×C4×C59—44no—
265C2×C4×C59—44no—
266C2×C4×C59—44no—
267C2×C4×C59—44no—
268C2×C4×C59—44no—
269C2×C4×C59—44no—
270C2×Dic59—28no—
271C2×Dic59—28no—
272C2×Dic59—28no—
273C2×Dic59—22no—
274C2×Dic59—22no—
275C2×Dic59—22no—
276C2×Dic59—22no—
277C2×Dic59—22no—
278C2×Dic59—22no—
279C2×Dic59—22no—
280C2×Dic59—22no—
281C2×Dic59—22no—
282C2×Dic59—22no—
283C2×Dic59—22no—
284C2×Dic59—22no—
285C2×Dic59—22no—
286C2×Dic59—22no—
287C2×Dic59—22no—
288C2×Dic59—22no—
289C2×Dic59—22no—
290C2×Dic59—22no—
291C2×Dic59—22no—
292C2×Dic59—22no—
293C2×Dic59—22no—
294C2×Dic59—44no—
295C2×Dic59—44no—
296C2×Dic59—44no—
297C2×Dic59—44no—
298C2×Dic59—44no—
299C2×Dic59C2×#4114yes—
300C2×Dic59C2×#4114yes—
301C2×Dic59C2×#4114yes—
302C2×#2654—591nomaximal, Sylow
303C22×C59—42no—
304C22×C59—42no—
305C22×C59—42no—
306C22×C59—42no—
307C22×C59—42no—
308C22×C59—42no—
309C22×C59—42no—
310C22×C59—88no—
311C22×C59#52914yes—
312C22×C59#53914yes—
313C22×C59#53914yes—
314C22×C59#54014yes—
315C22×C59#54114yes—
316C22×C59#54214yes—
317C22×C59#54214yes—
318C22×C59C22×#4111yescharacteristic
319C22×C59C22×#4111yescharacteristic
320C22×C59C22×#4111yescharacteristic
321C22×C59C2×H(5,𝔽2)11yescharacteristic
322C22×C59C2×H(5,𝔽2)11yescharacteristic
323C22×C59C2×2−1+411yescharacteristic
324C22×C59C2×2−1+411yescharacteristic
325C4×C59—42no—
326C4×C59—42no—
327C4×C59—42no—
328C4×C59—42no—
329C4×C59—42no—
330C4×C59—42no—
331Dic59—24no—
332Dic59—24no—
333Dic59—24no—
334Dic59—42no—
335Dic59—42no—
336Dic59—42no—
337Dic59—42no—
338Dic59—42no—
339#2654—5916no—
340C2×#400—591no—
341C2×#400—591no—
342C2×#399—591no—
343C2×#398—591no—
344C2×#398—591no—
345C2×#397—591no—
346C2×#397D5911yescharacteristic
347C2×#396—591no—
348C2×#389—591no—
349C2×#388—591no—
350C2×#388—591no—
351C2×#388—591no—
352C2×#387—591no—
353C2×#387—591no—
354C2×C4×C4⋊C4—591no—
355C2×C59—82no—
356C2×C59#265418yescomplemented
357C2×C59C2×#52911yescharacteristic
358C2×C59C2×#53911yescharacteristic
359C2×C59C2×#53911yescharacteristic
360C2×C59C2×#54011yescharacteristic
361C2×C59C2×#54111yescharacteristic
362C2×C59C2×#54211yescharacteristic
363C2×C59C2×#54211yescharacteristic
364C22×C4⋊C4—591no—
365C22×C4⋊C4—591no—
366C22×C4⋊C4—591no—
367C22×C4⋊C4—591no—
368C22×C4⋊C4—591no—
369C22×C4⋊C4—591no—
370C22×C4⋊C4—591no—
371C22×C4⋊C4—591no—
372C22×C4⋊C4—591no—
373C22×C4⋊C4—591no—
374C22×C4⋊C4C2×D5911yescharacteristic
375C22×C22⋊C4—591no—
376C22×C22⋊C4—591no—
377C22×C22⋊C4—591no—
378C22×C22⋊C4—591no—
379C22×C22⋊C4C2×D5911yescharacteristic
380C22×C22⋊C4C2×D5911yescharacteristic
381C22×C22⋊C4C2×D5911yescharacteristic
382C22×C42—591no—
383C22×C42—591no—
384C22×C42—591no—
385#400—598no—
386#400—598no—
387#399—598no—
388#398—598no—
389#398—598no—
390#397—598no—
391#397C2×D5918yes—
392#396—598no—
393#389—598no—
394#388—598no—
395#388—598no—
396#388—598no—
397#387—598no—
398#387—598no—
399C4×C4⋊C4—598no—
400C2×#95—591no—
401C2×#95—591no—
402C2×#95—591no—
403C2×#95—591no—
404C2×#95—591no—
405C2×#95—591no—
406C2×#95—591no—
407C2×#95—591no—
408C2×#95—591no—
409C2×#95—591no—
410C2×#95—591no—
411C2×#95C2×D5911yescharacteristic
412C2×#95C2×D5911yescharacteristic
413C2×#95C2×D5911yescharacteristic
414C59C2×#265411yescharacteristic, complemented, Sylow
415C25C22×D5911yescharacteristic
416C23×C4—591no—
417C23×C4—591no—
418C23×C4—591no—
419C23×C4—591no—
420C23×C4—591no—
421C23×C4—591no—
422C23×C4—591no—
423C23×C4—591no—
424C23×C4C22×D5911yescharacteristic
425C23×C4C22×D5911yescharacteristic
426C23×C4C22×D5911yescharacteristic
427C23×C4C22×D5911yescharacteristic
428C23×C4C22×D5911yescharacteristic
429C23×C4C22×D5911yescharacteristic
430C2×C4⋊C4—42no—
431C2×C4⋊C4—594no—
432C2×C4⋊C4—594no—
433C2×C4⋊C4—594no—
434C2×C4⋊C4—594no—
435C2×C4⋊C4—594no—
436C2×C4⋊C4—594no—
437C2×C4⋊C4—594no—
438C2×C4⋊C4—594no—
439C2×C4⋊C4—594no—
440C2×C4⋊C4—594no—
441C2×C4⋊C4—1184no—
442C2×C4⋊C4—1184no—
443C2×C4⋊C4—1184no—
444C2×C4⋊C4—1184no—
445C2×C4⋊C4—1184no—
446C2×C4⋊C4—2362no—
447C2×C4⋊C4—2362no—
448C2×C4⋊C4—2362no—
449C2×C4⋊C4—2362no—
450C2×C4⋊C4—2362no—
451C2×C4⋊C4C22×D5914yes—
452C2×C22⋊C4—42no—
453C2×C22⋊C4—42no—
454C2×C22⋊C4—42no—
455C2×C22⋊C4—594no—
456C2×C22⋊C4—594no—
457C2×C22⋊C4—594no—
458C2×C22⋊C4—594no—
459C2×C22⋊C4—1184no—
460C2×C22⋊C4—1184no—
461C2×C22⋊C4—1184no—
462C2×C22⋊C4—2362no—
463C2×C22⋊C4C22×D5914yes—
464C2×C22⋊C4C22×D5914yes—
465C2×C22⋊C4C22×D5914yes—
466C2×C42—594no—
467C2×C42—594no—
468C2×C42—594no—
469C2×C42—1184no—
470C2×C42—2362no—
471C2×C42—2362no—
472#95—594no—
473#95—594no—
474#95—594no—
475#95—594no—
476#95—594no—
477#95—594no—
478#95—594no—
479#95—594no—
480#95—594no—
481#95—594no—
482#95—594no—
483#95C22×D5914yes—
484#95C22×D5914yes—
485#95C22×D5914yes—
486C24—22no—
487C24—22no—
488C24—22no—
489C24—22no—
490C24—22no—
491C24—22no—
492C24—22no—
493C24C23×D5912yes—
494C24C23×D5911yescharacteristic
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—594no—
514C22×C4—594no—
515C22×C4—594no—
516C22×C4—592no—
517C22×C4—592no—
518C22×C4—592no—
519C22×C4—592no—
520C22×C4—592no—
521C22×C4—592no—
522C22×C4—592no—
523C22×C4—592no—
524C22×C4—1182no—
525C22×C4—1182no—
526C22×C4—1182no—
527C22×C4—1182no—
528C22×C4—1182no—
529C22×C4—1182no—
530C22×C4—1182no—
531C22×C4—1182no—
532C22×C4—1182no—
533C22×C4—1182no—
534C22×C4—1182no—
535C22×C4—1182no—
536C22×C4—1182no—
537C22×C4—1182no—
538C22×C4—1182no—
539C22×C4—1182no—
540C22×C4—1182no—
541C22×C4—1182no—
542C22×C4—1182no—
543C22×C4—1182no—
544C22×C4—1182no—
545C22×C4C23×D5912yes—
546C22×C4C23×D5912yes—
547C22×C4C23×D5912yes—
548C22×C4C23×D5912yes—
549C22×C4C23×D5912yes—
550C22×C4C23×D5912yes—
551C4⋊C4—44no—
552C4⋊C4—1188no—
553C4⋊C4—1188no—
554C4⋊C4—1188no—
555C4⋊C4—1188no—
556C4⋊C4—1188no—
557C4⋊C4—2364no—
558C4⋊C4—2364no—
559C4⋊C4—2364no—
560C4⋊C4—2364no—
561C4⋊C4—2364no—
562C22⋊C4—44no—
563C22⋊C4—44no—
564C22⋊C4—44no—
565C22⋊C4—1188no—
566C22⋊C4—1188no—
567C22⋊C4—1188no—
568C22⋊C4—2364no—
569C42—1188no—
570C42—2364no—
571C42—2364no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—44no—
580C23—44no—
581C23—44no—
582C23—44no—
583C23—44no—
584C23—44no—
585C23—44no—
586C23#41×D5912yes—
587C23#41×D5912yes—
588C23#41×D5912yes—
589C23#1427377212yes—
590C23#1427377212yes—
591C23#1427377412yes—
592C23#1427377412yes—
593C23C24×D5911yescharacteristic
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—44no—
613C2×C4—44no—
614C2×C4—44no—
615C2×C4—44no—
616C2×C4—44no—
617C2×C4—44no—
618C2×C4—594no—
619C2×C4—594no—
620C2×C4—594no—
621C2×C4—1188no—
622C2×C4—1182no—
623C2×C4—1182no—
624C2×C4—1182no—
625C2×C4—1182no—
626C2×C4—1182no—
627C2×C4—1182no—
628C2×C4—1188no—
629C2×C4—1188no—
630C2×C4—1182no—
631C2×C4—1182no—
632C2×C4—1182no—
633C2×C4—1182no—
634C2×C4—1182no—
635C2×C4—1182no—
636C2×C4—1182no—
637C2×C4—1182no—
638C2×C4—1182no—
639C2×C4—1182no—
640C2×C4—1182no—
641C2×C4—1182no—
642C2×C4—1182no—
643C2×C4—1182no—
644C2×C4—1182no—
645C2×C4—2364no—
646C2×C4—2364no—
647C2×C4—2364no—
648C2×C4—2364no—
649C2×C4—2364no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—88no—
658C22#1683793514yes—
659C22#1683799514yes—
660C22#1683799514yes—
661C22#1683800214yes—
662C22#1683800914yes—
663C22#1683801614yes—
664C22#1683802014yes—
665C22C2×#41×D5911yescharacteristic
666C22C2×#41×D5911yescharacteristic
667C22C2×#41×D5911yescharacteristic
668C22C2×#1427377211yescharacteristic
669C22C2×#1427377211yescharacteristic
670C22C2×#1427377411yescharacteristic
671C22C2×#1427377411yescharacteristic
672C4—42no—
673C4—42no—
674C4—42no—
675C4—42no—
676C4—42no—
677C4—42no—
678C4—1184no—
679C4—1184no—
680C4—1184no—
681C4—2362no—
682C4—2362no—
683C4—2362no—
684C4—2362no—
685C4—2362no—
686C2—82no—
687C2#2143018118yesdirect product factor
688C2C2×#1683793511yescharacteristic
689C2C2×#1683799511yescharacteristic
690C2C2×#1683799511yescharacteristic
691C2C2×#1683800211yescharacteristic
692C2C2×#1683800911yescharacteristic
693C2C2×#1683801611yescharacteristic
694C2C2×#1683802011yescharacteristic
subgroupG/H
centerC24C23×D59
commutator, cosocleC23×C59C25
FrattiniC23C24×D59
FittingC2×C59×#397C2
socleC24×C59C24
prime radicalC25×C59C23
hypercenterC2×#397D59
hypocenterC59C2×#2654
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C24 ◁ C2×#397

Complements

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

NH ≅ G/Ntype
1. #21430181C2direct (N × H)
2. C2×#16837343C2semidirect
3. C2×#16837343C2semidirect
5. C2×#16837336C2semidirect
6. C2×#16837335C2semidirect
9. C2×#16837297C2semidirect
13. C2×#16837289C2semidirect
14. C2×#16837285C2semidirect
15. C2×#16837253C2semidirect
34. #16837343C22semidirect
35. #16837343C22semidirect
37. #16837336C22semidirect
38. #16837335C22semidirect
41. #16837297C22semidirect
45. #16837289C22semidirect
46. #16837285C22semidirect
47. #16837253C22semidirect
356. C2×C59#2654semidirect
414. C59C2×#2654semidirect
687. C2#21430181direct (N × H)

Maximal subgroups

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

subgroupindex
#214301812
C2×#168373432
C2×#168373382
C2×#168373362
C2×#168373352
C2×#168373302
C2×#168373252
C2×#168372972
C2×#168372962
C2×#168372902
C2×#168372892
C2×#168372852
C2×#168372532
C2×C59×#3972
C2×#265459