Finite Group Databasebeta

← C2×#21436931 #29468479

Subgroups — C2×#21436931 #29468479

Order 15104.

1810 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838128C211yesmaximal, characteristic, complemented
2C2×#16838126C211yesmaximal, characteristic
3#21436931C2116yesmaximal, direct product factor
4C2×#16837770C211yesmaximal, characteristic, complemented
5C2×#16837763C211yesmaximal, characteristic
6C2×#16837758C211yesmaximal, characteristic
7C2×#16837707C211yesmaximal, characteristic, complemented
8C2×#16837695C211yesmaximal, characteristic, complemented
9C2×#16837703C211yesmaximal, characteristic
10C2×#16837626C211yesmaximal, characteristic
11C2×#16837626C211yesmaximal, characteristic
12C2×#16837531C211yesmaximal, characteristic, complemented
13C2×#16837509C211yesmaximal, characteristic, complemented
14C2×#16837500C211yesmaximal, characteristic
15C2×Q16×Dic59C211yesmaximal, characteristic, complemented
16C2×C59×#462C211yesmaximal, characteristic, complemented
17C22×#11745671C2211yescharacteristic
18#16838128—24no—
19#16838128C2218yescomplemented
20#16838126—24no—
21#16838126C2218yes—
22C2×#14273726—21no—
23C2×#14273726C2211yescharacteristic
24C2×#14273722—21no—
25C2×#14273722—21no—
26C2×#14273719—21no—
27C2×#14273719C2211yescharacteristic
28C2×#14273718—21no—
29C2×#14273718C2211yescharacteristic
30C2×#14273716C2211yescharacteristic
31C2×#14273716C2211yescharacteristic
32C2×#14273707—21no—
33C2×Q8×Dic59C2211yescharacteristic
34C2×Q8×Dic59C2211yescharacteristic
35C2×Q8×Dic59C2211yescharacteristic
36C2×Q8×Dic59C2211yescharacteristic
37C2×C4×Dic118—21no—
38C2×C4×Dic118C2211yescharacteristic
39C2×C4×D236C2211yescharacteristic
40C2×#14273685—21no—
41#16837770C2218yescomplemented
42#16837763C2218yes—
43#16837758C2218yes—
44#16837707C2218yescomplemented
45#16837703C2218yes—
46#16837695C2218yescomplemented
47#16837626C2218yes—
48#16837626C2218yes—
49#16837531C2218yescomplemented
50#16837509C2218yescomplemented
51#16837500C2218yes—
52Q16×Dic59C2218yescomplemented
53C2×#14273661C2211yescharacteristic
54C2×#14273660C2211yescharacteristic
55C2×#14273659C2211yescharacteristic
56C2×Dic59⋊C8C2211yescharacteristic
57C2×Dic59⋊C8C2211yescharacteristic
58C2×#14273651C2211yescharacteristic
59C2×#14273651C2211yescharacteristic
60C2×#14273651C2211yescharacteristic
61C2×#14273651C2211yescharacteristic
62C2×#14273651C2211yescharacteristic
63C2×#14273649C2211yescharacteristic
64C2×#14273649C2211yescharacteristic
65C2×#14273647C2211yescharacteristic
66C2×#14273638C2211yescharacteristic
67C2×#14273637C2211yescharacteristic
68C2×C8×Dic59C2211yescharacteristic
69C22×Q16×C59C2211yescharacteristic
70C22×Q16×C59C2211yescharacteristic
71C2×C4⋊Q8×C59C2211yescharacteristic
72C2×C4×Q8×C59C2211yescharacteristic
73C59×#462C2218yescomplemented
74C2×C4⋊C8×C59C2211yescharacteristic
75C2×#103×C59C2211yescharacteristic
76C2×#103×C59C2211yescharacteristic
77C22×Dic118—21no—
78C22×Dic118D411yescharacteristic
79C22×D236C2311yescharacteristic
80C22×C4×D59—21no—
81C2×#11745671—24no—
82C2×#11745671C2314yes—
83C22×C59⋊C8C2311yescharacteristic
84C22×C59⋊C8C2311yescharacteristic
85#14273726—28no—
86#14273726—22no—
87#14273726C2314yes—
88#14273722—28no—
89#14273722—28no—
90#14273719—22no—
91#14273719—28no—
92#14273719C2314yes—
93#14273718—28no—
94#14273718—22no—
95#14273718C2314yes—
96#14273716—22no—
97#14273716—22no—
98#14273716C2314yes—
99#14273716C2314yes—
100#14273707—28no—
101Q8×Dic59—22no—
102Q8×Dic59—22no—
103Q8×Dic59—22no—
104Q8×Dic59—22no—
105Q8×Dic59C2314yes—
106Q8×Dic59C2314yes—
107Q8×Dic59C2314yes—
108Q8×Dic59C2314yes—
109C4×Dic118—28no—
110C4×Dic118D414yes—
111C4×Dic118C2314yes—
112C4×D236—22no—
113C4×D236C2314yes—
114#14273685—28no—
115C2×C4⋊Dic59—21no—
116C2×C4⋊Dic59—21no—
117C2×C4⋊Dic59—21no—
118C2×C4⋊Dic59—21no—
119C2×C4⋊Dic59—21no—
120C2×C4⋊Dic59D411yescharacteristic
121C2×C4⋊Dic59C2311yescharacteristic
122C2×C4⋊Dic59C2311yescharacteristic
123C2×C4⋊Dic59C2311yescharacteristic
124C2×Dic59⋊C4—21no—
125C2×Dic59⋊C4—21no—
126C2×Dic59⋊C4—21no—
127C2×Dic59⋊C4—21no—
128C2×Dic59⋊C4D411yescharacteristic
129C2×Dic59⋊C4D411yescharacteristic
130C2×(C2×D59)⋊C4—21no—
131C2×(C2×D59)⋊C4—21no—
132C2×(C2×D59)⋊C4—21no—
133C2×(C2×D59)⋊C4—21no—
134C2×(C2×D59)⋊C4—21no—
135C2×C4×Dic59—21no—
136C2×C4×Dic59—21no—
137C2×C4×Dic59—21no—
138C2×C4×Dic59—21no—
139C2×C4×Dic59C2311yescharacteristic
140C2×C4×Dic59C2311yescharacteristic
141#14273661C2314yes—
142#14273660C2314yes—
143#14273659C2314yes—
144Dic59⋊C8C2314yes—
145Dic59⋊C8C2314yes—
146#14273651C2314yes—
147#14273651C2314yes—
148#14273651C2314yes—
149#14273651C2314yes—
150#14273651C2314yes—
151#14273649C2314yes—
152#14273649C2314yes—
153#14273647C2314yes—
154#14273638C2314yes—
155#14273637C2314yes—
156C8×Dic59C2314yes—
157C22×Q8×C59C2311yescharacteristic
158C22×Q8×C59C2311yescharacteristic
159C22×Q8×C59C2311yescharacteristic
160C2×Q16×C59—24no—
161C2×Q16×C59—24no—
162C2×Q16×C59C2314yes—
163C2×Q16×C59C2314yes—
164C22×C8×C59C2311yescharacteristic
165C22×C8×C59C2311yescharacteristic
166C4⋊Q8×C59—22no—
167C4⋊Q8×C59C2314yes—
168C4×Q8×C59—22no—
169C4×Q8×C59C2314yes—
170C2×C4⋊C4×C59—21no—
171C2×C4⋊C4×C59—21no—
172C2×C4⋊C4×C59—21no—
173C2×C4⋊C4×C59C2311yescharacteristic
174C2×C42×C59—21no—
175C2×C42×C59C2311yescharacteristic
176C4⋊C8×C59C2314yes—
177#103×C59C2314yes—
178#103×C59C2314yes—
179C23×D59—21no—
180C2×Q8×C59—21no—
181C2×Q8×C59—21no—
182C2×Q8×C59—21no—
183C2×Q8×C59—22no—
184C2×Q8×C59—22no—
185C2×Q8×C59—22no—
186C2×Q8×C59—22no—
187C2×Q8×C59—22no—
188C2×Q8×C59#4114yes—
189C2×Q8×C59C2412yes—
190C2×Q8×C59C2412yes—
191C2×Q8×C59C2412yes—
192C22×C4×C59—21no—
193C22×C4×C59—21no—
194C22×C4×C59—21no—
195C22×C4×C59—21no—
196C22×C4×C59C2×D411yescharacteristic
197C22×C4×C59C2×D411yescharacteristic
198C22×C4×C59C2411yescharacteristic
199C22×Dic59—21no—
200C22×Dic59—21no—
201C22×Dic59—21no—
202C22×Dic59C2×D411yescharacteristic
203C22×Dic59C2×D411yescharacteristic
204C22×Dic59C2×D411yescharacteristic
205C22×Dic59C2×D411yescharacteristic
206C2×D236—22no—
207C2×D236—22no—
208C2×D236—21no—
209C2×D236C2412yes—
210C2×C4×D59—24no—
211C2×C4×D59—44no—
212C2×Dic118—24no—
213C2×Dic118—42no—
214C2×Dic118—44no—
215C2×Dic118C2×D414yes—
216Q16×C59—28no—
217Q16×C59—28no—
218C2×C8×C59—22no—
219C2×C8×C59—22no—
220C2×C8×C59C2412yes—
221C2×C8×C59C2412yes—
222C4⋊C4×C59—24no—
223C4⋊C4×C59—24no—
224C4⋊C4×C59—24no—
225C4⋊C4×C59—21no—
226C4⋊C4×C59C2412yes—
227C42×C59—24no—
228C42×C59C2×D412yes—
229C42×C59C2412yes—
230#11745671—28no—
231(C2×D59)⋊C4—24no—
232(C2×D59)⋊C4—24no—
233(C2×D59)⋊C4—24no—
234(C2×D59)⋊C4—24no—
235(C2×D59)⋊C4—24no—
236C4⋊Dic59—21no—
237C4⋊Dic59—21no—
238C4⋊Dic59—21no—
239C4⋊Dic59—24no—
240C4⋊Dic59—24no—
241C4⋊Dic59—24no—
242C4⋊Dic59—24no—
243C4⋊Dic59—24no—
244C4⋊Dic59C2×D414yes—
245C4⋊Dic59C2412yes—
246C4⋊Dic59C2412yes—
247C4⋊Dic59C2412yes—
248Dic59⋊C4—24no—
249Dic59⋊C4—24no—
250Dic59⋊C4—24no—
251Dic59⋊C4—24no—
252Dic59⋊C4C2×D414yes—
253Dic59⋊C4C2×D414yes—
254C4×Dic59—24no—
255C4×Dic59—24no—
256C4×Dic59—24no—
257C4×Dic59—24no—
258C4×Dic59C2×D412yes—
259C4×Dic59C2×D412yes—
260C4×Dic59C2412yes—
261C4×Dic59C2412yes—
262C2×C59⋊C8—22no—
263C2×C59⋊C8—22no—
264C2×C59⋊C8C2412yes—
265C2×C59⋊C8C2412yes—
266C23×C59C22×D411yescharacteristic
267C22×D59—22no—
268C22×D59—42no—
269C22×D59—42no—
270C22×D59—42no—
271Q8×C59—24no—
272Q8×C59—22no—
273Q8×C59—22no—
274Q8×C59—22no—
275Q8×C59—22no—
276Q8×C59—22no—
277Q8×C59—42no—
278Q8×C59—42no—
279Q8×C59C2×#4114yes—
280C2×C4×C59—24no—
281C2×C4×C59—22no—
282C2×C4×C59—22no—
283C2×C4×C59—22no—
284C2×C4×C59—22no—
285C2×C4×C59—22no—
286C2×C4×C59—22no—
287C2×C4×C59—42no—
288C2×C4×C59—42no—
289C2×C4×C59—42no—
290C2×C4×C59C22×D412yes—
291C2×C4×C59C22×D412yes—
292C2×C4×C59C22×D411yescharacteristic
293C2×C4×C59C2×#4112yes—
294C2×C4×C592−1+412yes—
295C2×C4×C59C2511yescharacteristic
296C2×Dic59—22no—
297C2×Dic59—22no—
298C2×Dic59—22no—
299C2×Dic59—22no—
300C2×Dic59—22no—
301C2×Dic59—22no—
302C2×Dic59—22no—
303C2×Dic59—42no—
304C2×Dic59—42no—
305C2×Dic59—42no—
306C2×Dic59C22×D412yes—
307C2×Dic59C22×D412yes—
308C2×Dic59C22×D412yes—
309C2×Dic59C22×D412yes—
310D236—22no—
311D236—22no—
312D236—42no—
313C4×D59—48no—
314Dic118—44no—
315Dic118—48no—
316C8×C59—22no—
317C8×C59—22no—
318C59⋊C8—22no—
319C59⋊C8—22no—
320C2×#3377—591nomaximal, Sylow
321C22×C59#54812yes—
322C22×C59#57512yes—
323C22×C59#57812yes—
324C22×C59C23×D411yescharacteristic
325C2×D59—42no—
326C2×D59—42no—
327C2×D59—42no—
328C2×D59—84no—
329C4×C59—24no—
330C4×C59—22no—
331C4×C59—22no—
332C4×C59—42no—
333C4×C59—42no—
334C4×C59—42no—
335C4×C59#54812yes—
336C4×C59C22×#4111yescharacteristic
337C4×C59C2×2−1+411yescharacteristic
338Dic59—22no—
339Dic59—22no—
340Dic59—22no—
341Dic59—22no—
342Dic59—42no—
343Dic59—42no—
344Dic59—42no—
345C2×#557—591no—
346C2×#556—591no—
347#3377—5916no—
348C2×#491—591no—
349C2×#489—591no—
350C2×#488—591no—
351C2×#479—591no—
352C2×#477—591no—
353C2×#478—591no—
354C2×#464—591no—
355C2×#464—591no—
356C2×#462D5911yescharacteristic, complemented
357C2×#446—591no—
358C2×#441—591no—
359C2×#440—591no—
360C2×C4×Q16—591no—
361C2×C59#337714yescomplemented
362C2×C59C2×#54811yescharacteristic
363C2×C59C2×#57511yescharacteristic
364C2×C59C2×#57811yescharacteristic
365D59—82no—
366C22×Q16C2×D5911yescharacteristic
367C22×Q16C2×D5911yescharacteristic
368C22×SD16—591no—
369#557—598no—
370#557—1184no—
371#556—598no—
372#556—1184no—
373C2×C4⋊Q8—591no—
374C2×C4⋊Q8—1181no—
375C2×C4⋊Q8C2×D5911yescharacteristic
376C2×#126—1181no—
377C2×#126—1181no—
378C2×#125—591no—
379C2×#125—591no—
380C2×#125—1181no—
381C2×#125—1181no—
382C2×#124—591no—
383C2×#124—591no—
384C2×C22⋊Q8—1181no—
385C2×C4×Q8—591no—
386C2×C4×Q8—591no—
387C2×C4×Q8—591no—
388C2×C4×Q8—591no—
389C2×C4×Q8—591no—
390C2×C4×Q8—1181no—
391C2×C4×Q8C2×D5911yescharacteristic
392C2×C4×D4—591no—
393C2×#117—1181no—
394#491—598no—
395#489—598no—
396#488—598no—
397#479—598no—
398#478—598no—
399#477—598no—
400#464—598no—
401#464—598no—
402#462C2×D5918yescomplemented
403#446—598no—
404#441—598no—
405#440—598no—
406C4×Q16—598no—
407C2×#107—591no—
408C2×#107—591no—
409C2×#106—591no—
410C2×C4⋊C8—591no—
411C2×C4⋊C8—591no—
412C2×C4⋊C8C2×D5911yescharacteristic
413C2×#103—591no—
414C2×#103—591no—
415C2×#103—591no—
416C2×#103—591no—
417C2×#103—591no—
418C2×#103C2×D5911yescharacteristic
419C2×#103C2×D5911yescharacteristic
420C2×#102—591no—
421C2×#102—591no—
422C2×#102—591no—
423C2×#97—591no—
424C2×#97—591no—
425C2×C4×C8—591no—
426C59C2×#337711yescharacteristic, complemented, Sylow
427C22×Q8—591no—
428C22×Q8—1181no—
429C22×Q8C22×D5911yescharacteristic
430C22×Q8C22×D5911yescharacteristic
431C22×Q8C22×D5911yescharacteristic
432C22×D4—591no—
433C23×C4—1181no—
434C2×Q16—24no—
435C2×Q16—24no—
436C2×Q16C22×D5914yes—
437C2×Q16C22×D5914yes—
438C2×SD16—594no—
439C2×SD16—1184no—
440C22×C8—591no—
441C22×C8—591no—
442C22×C8C22×D5911yescharacteristic
443C22×C8C22×D5911yescharacteristic
444C4⋊Q8—22no—
445C4⋊Q8—594no—
446C4⋊Q8—1182no—
447C4⋊Q8—1188no—
448C4⋊Q8C22×D5914yes—
449#126—1188no—
450#126—1188no—
451#125—594no—
452#125—594no—
453#125—1188no—
454#125—1182no—
455#125—1188no—
456#125—1182no—
457#124—594no—
458#124—594no—
459#124—1182no—
460#124—1182no—
461C22⋊Q8—1188no—
462C4×Q8—22no—
463C4×Q8—594no—
464C4×Q8—594no—
465C4×Q8—594no—
466C4×Q8—594no—
467C4×Q8—594no—
468C4×Q8—594no—
469C4×Q8—1188no—
470C4×Q8—1182no—
471C4×Q8—1182no—
472C4×Q8—1182no—
473C4×Q8—1182no—
474C4×Q8C22×D5914yes—
475C4×D4—594no—
476C4×D4—1182no—
477#117—1188no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—21no—
481C2×C4⋊C4—591no—
482C2×C4⋊C4—591no—
483C2×C4⋊C4—591no—
484C2×C4⋊C4—591no—
485C2×C4⋊C4—591no—
486C2×C4⋊C4—591no—
487C2×C4⋊C4—1181no—
488C2×C4⋊C4—1181no—
489C2×C4⋊C4—1181no—
490C2×C4⋊C4—1181no—
491C2×C4⋊C4—1181no—
492C2×C4⋊C4—1181no—
493C2×C4⋊C4—1181no—
494C2×C4⋊C4—1181no—
495C2×C4⋊C4—1181no—
496C2×C4⋊C4C22×D5911yescharacteristic
497C2×C22⋊C4—1181no—
498C2×C22⋊C4—1181no—
499C2×C22⋊C4—1181no—
500C2×C22⋊C4—1181no—
501C2×C22⋊C4—1181no—
502C2×C42—21no—
503C2×C42—591no—
504C2×C42—591no—
505C2×C42—1181no—
506C2×C42—1181no—
507C2×C42—1181no—
508C2×C42—1181no—
509C2×C42C22×D5911yescharacteristic
510#107—594no—
511#107—594no—
512#106—594no—
513C4⋊C8—594no—
514C4⋊C8—594no—
515C4⋊C8C22×D5914yes—
516#103—594no—
517#103—594no—
518#103—594no—
519#103—594no—
520#103—594no—
521#103C22×D5914yes—
522#103C22×D5914yes—
523#102—594no—
524#102—594no—
525#102—594no—
526#97—594no—
527#97—594no—
528C4×C8—594no—
529C24—1181no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—21no—
533C2×Q8—22no—
534C2×Q8—22no—
535C2×Q8—22no—
536C2×Q8—22no—
537C2×Q8—22no—
538C2×Q8—594no—
539C2×Q8—1184no—
540C2×Q8—2362no—
541C2×Q8—2364no—
542C2×Q8#1174568714yes—
543C2×Q8C23×D5912yes—
544C2×Q8C23×D5912yes—
545C2×Q8C23×D5912yes—
546C2×D4—592no—
547C2×D4—1181no—
548C2×D4—1182no—
549C2×D4—1182no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—591no—
555C22×C4—591no—
556C22×C4—591no—
557C22×C4—591no—
558C22×C4—1181no—
559C22×C4—1181no—
560C22×C4—1181no—
561C22×C4—1184no—
562C22×C4—2364no—
563C22×C4D4×D5911yescharacteristic
564C22×C4D4×D5911yescharacteristic
565C22×C4C23×D5911yescharacteristic
566Q16—28no—
567Q16—28no—
568SD16—1188no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—592no—
572C2×C8—592no—
573C2×C8—1182no—
574C2×C8—1182no—
575C2×C8C23×D5912yes—
576C2×C8C23×D5912yes—
577C4⋊C4—24no—
578C4⋊C4—24no—
579C4⋊C4—24no—
580C4⋊C4—21no—
581C4⋊C4—594no—
582C4⋊C4—594no—
583C4⋊C4—594no—
584C4⋊C4—592no—
585C4⋊C4—592no—
586C4⋊C4—592no—
587C4⋊C4—1184no—
588C4⋊C4—1184no—
589C4⋊C4—1184no—
590C4⋊C4—1184no—
591C4⋊C4—1184no—
592C4⋊C4—1184no—
593C4⋊C4—1184no—
594C4⋊C4—1181no—
595C4⋊C4—1181no—
596C4⋊C4—1181no—
597C4⋊C4—1184no—
598C4⋊C4—1184no—
599C4⋊C4C23×D5912yes—
600C22⋊C4—1184no—
601C22⋊C4—1184no—
602C22⋊C4—1184no—
603C22⋊C4—1184no—
604C22⋊C4—1184no—
605C42—24no—
606C42—592no—
607C42—592no—
608C42—592no—
609C42—592no—
610C42—1184no—
611C42—1184no—
612C42—1184no—
613C42—1184no—
614C42D4×D5912yes—
615C42C23×D5912yes—
616C23—1182no—
617C23—2362no—
618C23—2362no—
619C23—2362no—
620C23C2×D4×D5911yescharacteristic
621Q8—22no—
622Q8—24no—
623Q8—22no—
624Q8—22no—
625Q8—22no—
626Q8—22no—
627Q8—42no—
628Q8—42no—
629Q8—2364no—
630Q8—2368no—
631Q8C2×#1174568714yes—
632D4—1182no—
633D4—1182no—
634D4—2362no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—592no—
646C2×C4—592no—
647C2×C4—592no—
648C2×C4—592no—
649C2×C4—1182no—
650C2×C4—1182no—
651C2×C4—1182no—
652C2×C4—1182no—
653C2×C4—1182no—
654C2×C4—1182no—
655C2×C4—1182no—
656C2×C4—2368no—
657C2×C4—2362no—
658C2×C4—2362no—
659C2×C4—2362no—
660C2×C4C2×D4×D5912yes—
661C2×C4C2×D4×D5912yes—
662C2×C4C2×D4×D5911yescharacteristic
663C2×C4C2×#1174568712yes—
664C2×C4#1427377412yes—
665C2×C4C24×D5911yescharacteristic
666C8—22no—
667C8—22no—
668C8—1182no—
669C8—1182no—
670C22—4724no—
671C22—2362no—
672C22—2362no—
673C22—2362no—
674C22#1683805812yes—
675C22#1683820112yes—
676C22#1683821512yes—
677C22C22×D4×D5911yescharacteristic
678C4—24no—
679C4—22no—
680C4—22no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—1182no—
685C4—1182no—
686C4—1182no—
687C4—1182no—
688C4—2362no—
689C4—2362no—
690C4—2362no—
691C4#1683805812yes—
692C4C22×#1174568711yescharacteristic
693C4C2×#1427377411yescharacteristic
694C2—4722no—
695C2#2143693114yesdirect product factor
696C2C2×#1683805811yescharacteristic
697C2C2×#1683820111yescharacteristic
698C2C2×#1683821511yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC2×C59×#462C2
socleC23×C59C22×D4
prime radicalC22×D236C23
hypercenterC2×#462D59
hypocenterC59C2×#3377
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#462

Complements

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

NH ≅ G/Ntype
1. C2×#16838128C2semidirect
3. #21436931C2direct (N × H)
4. C2×#16837770C2semidirect
7. C2×#16837707C2semidirect
8. C2×#16837695C2semidirect
12. C2×#16837531C2semidirect
13. C2×#16837509C2semidirect
15. C2×Q16×Dic59C2semidirect
16. C2×C59×#462C2semidirect
19. #16838128C22semidirect
41. #16837770C22semidirect
44. #16837707C22semidirect
46. #16837695C22semidirect
49. #16837531C22semidirect
50. #16837509C22semidirect
52. Q16×Dic59C22semidirect
73. C59×#462C22semidirect
356. C2×#462D59semidirect
361. C2×C59#3377semidirect
402. #462C2×D59semidirect
426. C59C2×#3377semidirect
695. C2#21436931direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168381282
C2×#168381262
#214369312
C2×#168377702
C2×#168377632
C2×#168377582
C2×#168377072
C2×#168376952
C2×#168377032
C2×#168376262
C2×#168375312
C2×#168375092
C2×#168375002
C2×Q16×Dic592
C2×C59×#4622
C2×#337759