Finite Group Databasebeta

← C2×#21436940 #29468488

Subgroups — C2×#21436940 #29468488

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×#16838130C211yesmaximal, characteristic, complemented
2C2×#16838125C211yesmaximal, characteristic
3#21436940C2116yesmaximal, direct product factor
4C2×#16837771C211yesmaximal, characteristic, complemented
5C2×#16837762C211yesmaximal, characteristic
6C2×#16837757C211yesmaximal, characteristic
7C2×#16837710C211yesmaximal, characteristic, complemented
8C2×#16837698C211yesmaximal, characteristic, complemented
9C2×#16837703C211yesmaximal, characteristic
10C2×#16837625C211yesmaximal, characteristic
11C2×#16837625C211yesmaximal, characteristic
12C2×#16837613C211yesmaximal, characteristic, complemented
13C2×#16837510C211yesmaximal, characteristic, complemented
14C2×#16837504C211yesmaximal, characteristic
15C2×C4×Dic236C211yesmaximal, characteristic, complemented
16C2×C59×#446C211yesmaximal, characteristic, complemented
17C22×Dic236C2211yescharacteristic
18C22×Dic236C2211yescharacteristic
19C22×#11745660C2211yescharacteristic
20#16838130—24no—
21#16838130C2218yescomplemented
22#16838125—24no—
23#16838125C2218yes—
24C2×#14273727C2211yescharacteristic
25C2×#14273727C2211yescharacteristic
26C2×#14273725—21no—
27C2×#14273722—21no—
28C2×#14273722—21no—
29C2×#14273719C2211yescharacteristic
30C2×#14273719C2211yescharacteristic
31C2×#14273717—21no—
32C2×#14273717—21no—
33C2×#14273715C2211yescharacteristic
34C2×#14273715C2211yescharacteristic
35C2×#14273703—21no—
36C2×C4×Dic118C2211yescharacteristic
37C2×C4×Dic118C2211yescharacteristic
38C2×C4×Dic118C2211yescharacteristic
39C2×C4×Dic118C2211yescharacteristic
40C2×C4×Dic118C2211yescharacteristic
41C2×#14273692—21no—
42C2×C4×D236C2211yescharacteristic
43C2×#14273685—21no—
44#16837771C2218yescomplemented
45#16837762C2218yes—
46#16837757C2218yes—
47#16837710C2218yescomplemented
48#16837703C2218yes—
49#16837698C2218yescomplemented
50#16837625C2218yes—
51#16837625C2218yes—
52#16837613C2218yescomplemented
53#16837510C2218yescomplemented
54#16837504C2218yes—
55C4×Dic236C2218yescomplemented
56C2×#14273661C2211yescharacteristic
57C2×#14273661C2211yescharacteristic
58C2×#14273659C2211yescharacteristic
59C2×#14273652C2211yescharacteristic
60C2×#14273652C2211yescharacteristic
61C2×#14273652C2211yescharacteristic
62C2×#14273652C2211yescharacteristic
63C2×#14273652C2211yescharacteristic
64C2×#14273652C2211yescharacteristic
65C2×#14273652C2211yescharacteristic
66C2×#14273649C2211yescharacteristic
67C2×#14273649C2211yescharacteristic
68C2×#14273649C2211yescharacteristic
69C2×C4×Q8×C59C2211yescharacteristic
70C59×#446C2218yescomplemented
71C2×C4⋊C8×C59C2211yescharacteristic
72C2×C4⋊C8×C59C2211yescharacteristic
73C2×C4⋊C8×C59C2211yescharacteristic
74C2×#97×C59C2211yescharacteristic
75C2×#97×C59C2211yescharacteristic
76C2×C4×C8×C59C2211yescharacteristic
77C22×Dic118—21no—
78C22×Dic118C2311yescharacteristic
79C22×Dic118C2311yescharacteristic
80C22×Dic118C2311yescharacteristic
81C22×D236C2311yescharacteristic
82C22×C4×D59—21no—
83C2×Dic236—24no—
84C2×Dic236—24no—
85C2×Dic236C2314yes—
86C2×Dic236C2314yes—
87C2×#11745660—24no—
88C2×#11745660C2314yes—
89#14273727—22no—
90#14273727—22no—
91#14273727C2314yes—
92#14273727C2314yes—
93#14273725—28no—
94#14273722—28no—
95#14273722—28no—
96#14273719—22no—
97#14273719—22no—
98#14273719C2314yes—
99#14273719C2314yes—
100#14273717—28no—
101#14273717—28no—
102#14273715—22no—
103#14273715—22no—
104#14273715C2314yes—
105#14273715C2314yes—
106#14273703—28no—
107C4×Dic118—22no—
108C4×Dic118—22no—
109C4×Dic118—22no—
110C4×Dic118—22no—
111C4×Dic118—22no—
112C4×Dic118C2314yes—
113C4×Dic118C2314yes—
114C4×Dic118C2314yes—
115C4×Dic118C2314yes—
116C4×Dic118C2314yes—
117#14273692—28no—
118C4×D236—22no—
119C4×D236C2314yes—
120#14273685—28no—
121C2×C4⋊Dic59—21no—
122C2×C4⋊Dic59—21no—
123C2×C4⋊Dic59—21no—
124C2×C4⋊Dic59C2311yescharacteristic
125C2×C4⋊Dic59C2311yescharacteristic
126C2×C4⋊Dic59C2311yescharacteristic
127C2×C4⋊Dic59C2311yescharacteristic
128C2×Dic59⋊C4—21no—
129C2×Dic59⋊C4—21no—
130C2×Dic59⋊C4—21no—
131C2×Dic59⋊C4—21no—
132C2×Dic59⋊C4—21no—
133C2×Dic59⋊C4—21no—
134C2×Dic59⋊C4—21no—
135C2×Dic59⋊C4—21no—
136C2×Dic59⋊C4—21no—
137C2×(C2×D59)⋊C4—21no—
138C2×(C2×D59)⋊C4—21no—
139C2×(C2×D59)⋊C4—21no—
140C2×(C2×D59)⋊C4—21no—
141C2×(C2×D59)⋊C4—21no—
142C2×C4×Dic59—21no—
143C2×C4×Dic59—21no—
144C2×C4×Dic59—21no—
145C2×C4×Dic59—21no—
146C2×C4×Dic59—21no—
147#14273661C2314yes—
148#14273661C2314yes—
149#14273659C2314yes—
150#14273652C2314yes—
151#14273652C2314yes—
152#14273652C2314yes—
153#14273652C2314yes—
154#14273652C2314yes—
155#14273652C2314yes—
156#14273652C2314yes—
157#14273649C2314yes—
158#14273649C2314yes—
159#14273649C2314yes—
160C22×Q8×C59D411yescharacteristic
161C22×C8×C59C2311yescharacteristic
162C22×C8×C59C2311yescharacteristic
163C22×C8×C59C2311yescharacteristic
164C22×C8×C59C2311yescharacteristic
165C4×Q8×C59D414yes—
166C4×Q8×C59C2314yes—
167C2×C4⋊C4×C59D411yescharacteristic
168C2×C4⋊C4×C59D411yescharacteristic
169C2×C4⋊C4×C59D411yescharacteristic
170C2×C42×C59C2311yescharacteristic
171C2×C42×C59C2311yescharacteristic
172C2×C42×C59C2311yescharacteristic
173C4⋊C8×C59C2314yes—
174C4⋊C8×C59C2314yes—
175C4⋊C8×C59C2314yes—
176#97×C59C2314yes—
177#97×C59C2314yes—
178C4×C8×C59C2314yes—
179C23×D59—21no—
180C2×Q8×C59—42no—
181C2×Q8×C59C2×D414yes—
182C22×C4×C59C2×D411yescharacteristic
183C22×C4×C59C2×D411yescharacteristic
184C22×C4×C59C2×D411yescharacteristic
185C22×C4×C59C2×D411yescharacteristic
186C22×C4×C59C2×D411yescharacteristic
187C22×C4×C59C2×D411yescharacteristic
188C22×C4×C59C2411yescharacteristic
189C22×Dic59—21no—
190C22×Dic59—21no—
191C22×Dic59—21no—
192C22×Dic59—21no—
193C22×Dic59—21no—
194C22×Dic59—21no—
195C22×Dic59—21no—
196C2×D236—22no—
197C2×D236—22no—
198C2×D236—21no—
199C2×D236C2412yes—
200C2×C4×D59—24no—
201C2×C4×D59—44no—
202C2×Dic118—21no—
203C2×Dic118—22no—
204C2×Dic118—22no—
205C2×Dic118—22no—
206C2×Dic118—22no—
207C2×Dic118—22no—
208C2×Dic118—24no—
209C2×Dic118—21no—
210C2×Dic118—21no—
211C2×Dic118—44no—
212C2×Dic118#4114yes—
213C2×Dic118C2412yes—
214C2×Dic118C2412yes—
215C2×Dic118C2412yes—
216C2×C8×C59—22no—
217C2×C8×C59—22no—
218C2×C8×C59—22no—
219C2×C8×C59—22no—
220C2×C8×C59C2412yes—
221C2×C8×C59C2412yes—
222C2×C8×C59C2412yes—
223C2×C8×C59C2412yes—
224C4⋊C4×C59C2×D414yes—
225C4⋊C4×C59C2×D414yes—
226C4⋊C4×C59C2×D414yes—
227C42×C59C2×D412yes—
228C42×C59C2×D412yes—
229C42×C59C2×D412yes—
230C42×C59C2412yes—
231C42×C59C2412yes—
232C42×C59C2412yes—
233(C2×D59)⋊C4—24no—
234(C2×D59)⋊C4—24no—
235(C2×D59)⋊C4—24no—
236(C2×D59)⋊C4—24no—
237(C2×D59)⋊C4—24no—
238C4⋊Dic59—24no—
239C4⋊Dic59—24no—
240C4⋊Dic59—24no—
241C4⋊Dic59—21no—
242C4⋊Dic59—21no—
243C4⋊Dic59—21no—
244C4⋊Dic59—21no—
245C4⋊Dic59C2412yes—
246C4⋊Dic59C2412yes—
247C4⋊Dic59C2412yes—
248C4⋊Dic59C2412yes—
249Dic59⋊C4—24no—
250Dic59⋊C4—24no—
251Dic59⋊C4—24no—
252Dic59⋊C4—24no—
253Dic59⋊C4—24no—
254Dic59⋊C4—24no—
255Dic59⋊C4—24no—
256Dic59⋊C4—24no—
257Dic59⋊C4—24no—
258C4×Dic59—24no—
259C4×Dic59—24no—
260C4×Dic59—24no—
261C4×Dic59—24no—
262C4×Dic59—24no—
263Dic236—28no—
264Dic236—28no—
265#11745660—28no—
266C23×C59C22×D411yescharacteristic
267C22×D59—22no—
268C22×D59—42no—
269C22×D59—42no—
270C22×D59—42no—
271Q8×C59—44no—
272C2×C4×C59—22no—
273C2×C4×C59—22no—
274C2×C4×C59—22no—
275C2×C4×C59—22no—
276C2×C4×C59—22no—
277C2×C4×C59—22no—
278C2×C4×C59C22×D412yes—
279C2×C4×C59C22×D412yes—
280C2×C4×C59C22×D412yes—
281C2×C4×C59C22×D412yes—
282C2×C4×C59C22×D412yes—
283C2×C4×C59C22×D412yes—
284C2×C4×C59C22×D411yescharacteristic
285C2×C4×C59C2×#4112yes—
286C2×C4×C592−1+412yes—
287C2×C4×C59C2511yescharacteristic
288C2×Dic59—24no—
289C2×Dic59—22no—
290C2×Dic59—22no—
291C2×Dic59—22no—
292C2×Dic59—22no—
293C2×Dic59—22no—
294C2×Dic59—22no—
295C2×Dic59—22no—
296C2×Dic59—42no—
297C2×Dic59—42no—
298C2×Dic59—42no—
299C2×Dic59—42no—
300C2×Dic59—42no—
301C2×Dic59—42no—
302D236—22no—
303D236—22no—
304D236—42no—
305C4×D59—48no—
306Dic118—24no—
307Dic118—22no—
308Dic118—22no—
309Dic118—22no—
310Dic118—22no—
311Dic118—22no—
312Dic118—48no—
313Dic118—42no—
314Dic118—42no—
315Dic118C2×#4114yes—
316C8×C59—22no—
317C8×C59—22no—
318C8×C59—22no—
319C8×C59—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—22no—
330C4×C59—22no—
331C4×C59—22no—
332C4×C59—22no—
333C4×C59—22no—
334C4×C59—22no—
335C4×C59#54812yes—
336C4×C59C22×#4111yescharacteristic
337C4×C59C2×2−1+411yescharacteristic
338Dic59—24no—
339Dic59—42no—
340Dic59—42no—
341Dic59—42no—
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×#462—591no—
357C2×#446D5911yescharacteristic, complemented
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×Q16—591no—
367C22×Q16—591no—
368C22×SD16—591no—
369#557—598no—
370#557—1184no—
371#556—598no—
372#556—1184no—
373C2×C4⋊Q8—591no—
374C2×C4⋊Q8—591no—
375C2×C4⋊Q8—1181no—
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#462—598no—
403#446C2×D5918yescomplemented
404#441—598no—
405#440—598no—
406C4×Q16—598no—
407C2×#107—591no—
408C2×#107—591no—
409C2×#106—591no—
410C2×C4⋊C8C2×D5911yescharacteristic
411C2×C4⋊C8C2×D5911yescharacteristic
412C2×C4⋊C8C2×D5911yescharacteristic
413C2×#103—591no—
414C2×#103—591no—
415C2×#103—591no—
416C2×#103—591no—
417C2×#103—591no—
418C2×#103—591no—
419C2×#103—591no—
420C2×#102—591no—
421C2×#102—591no—
422C2×#102—591no—
423C2×#97C2×D5911yescharacteristic
424C2×#97C2×D5911yescharacteristic
425C2×C4×C8C2×D5911yescharacteristic
426C59C2×#337711yescharacteristic, complemented, Sylow
427C22×Q8—591no—
428C22×Q8—591no—
429C22×Q8—591no—
430C22×Q8—1181no—
431C22×Q8D23611yescharacteristic
432C22×D4—591no—
433C23×C4—1181no—
434C2×Q16—594no—
435C2×Q16—594no—
436C2×Q16—1184no—
437C2×Q16—1184no—
438C2×SD16—594no—
439C2×SD16—1184no—
440C22×C8C22×D5911yescharacteristic
441C22×C8C22×D5911yescharacteristic
442C22×C8C22×D5911yescharacteristic
443C22×C8C22×D5911yescharacteristic
444C4⋊Q8—594no—
445C4⋊Q8—594no—
446C4⋊Q8—1188no—
447C4⋊Q8—1182no—
448C4⋊Q8—1182no—
449#126—1188no—
450#126—1188no—
451#125—594no—
452#125—594no—
453#125—1188no—
454#125—1188no—
455#125—1182no—
456#125—1182no—
457#124—594no—
458#124—594no—
459#124—1182no—
460#124—1182no—
461C22⋊Q8—1188no—
462C4×Q8—594no—
463C4×Q8—594no—
464C4×Q8—594no—
465C4×Q8—594no—
466C4×Q8—594no—
467C4×Q8—1188no—
468C4×Q8—1182no—
469C4×Q8—1182no—
470C4×Q8—1182no—
471C4×Q8—1182no—
472C4×Q8—1182no—
473C4×Q8D23614yes—
474C4×Q8C22×D5914yes—
475C4×D4—594no—
476C4×D4—1182no—
477#117—1188no—
478C2×C4⋊C4—591no—
479C2×C4⋊C4—591no—
480C2×C4⋊C4—591no—
481C2×C4⋊C4—591no—
482C2×C4⋊C4—1181no—
483C2×C4⋊C4—1181no—
484C2×C4⋊C4—1181no—
485C2×C4⋊C4—1181no—
486C2×C4⋊C4—1181no—
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⋊C4D23611yescharacteristic
495C2×C4⋊C4D23611yescharacteristic
496C2×C4⋊C4D23611yescharacteristic
497C2×C22⋊C4—1181no—
498C2×C22⋊C4—1181no—
499C2×C22⋊C4—1181no—
500C2×C22⋊C4—1181no—
501C2×C22⋊C4—1181no—
502C2×C42—1181no—
503C2×C42—1181no—
504C2×C42—1181no—
505C2×C42—1181no—
506C2×C42—1181no—
507C2×C42C22×D5911yescharacteristic
508C2×C42C22×D5911yescharacteristic
509C2×C42C22×D5911yescharacteristic
510#107—594no—
511#107—594no—
512#106—594no—
513C4⋊C8C22×D5914yes—
514C4⋊C8C22×D5914yes—
515C4⋊C8C22×D5914yes—
516#103—594no—
517#103—594no—
518#103—594no—
519#103—594no—
520#103—594no—
521#103—594no—
522#103—594no—
523#102—594no—
524#102—594no—
525#102—594no—
526#97C22×D5914yes—
527#97C22×D5914yes—
528C4×C8C22×D5914yes—
529C24—1181no—
530C2×Q8—42no—
531C2×Q8—594no—
532C2×Q8—592no—
533C2×Q8—592no—
534C2×Q8—592no—
535C2×Q8—1181no—
536C2×Q8—1181no—
537C2×Q8—1181no—
538C2×Q8—1184no—
539C2×Q8—1182no—
540C2×Q8—1182no—
541C2×Q8—1182no—
542C2×Q8—1182no—
543C2×Q8—1182no—
544C2×Q8—2364no—
545C2×Q8C2×D23614yes—
546C2×D4—592no—
547C2×D4—1181no—
548C2×D4—1182no—
549C2×D4—1182no—
550C22×C4—1181no—
551C22×C4—1181no—
552C22×C4—1181no—
553C22×C4—1181no—
554C22×C4—1181no—
555C22×C4—1181no—
556C22×C4—1181no—
557C22×C4—1184no—
558C22×C4—2364no—
559C22×C4C2×D23611yescharacteristic
560C22×C4C2×D23611yescharacteristic
561C22×C4C2×D23611yescharacteristic
562C22×C4C2×D23611yescharacteristic
563C22×C4C2×D23611yescharacteristic
564C22×C4C2×D23611yescharacteristic
565C22×C4C23×D5911yescharacteristic
566Q16—1188no—
567Q16—1188no—
568SD16—1188no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8C23×D5912yes—
574C2×C8C23×D5912yes—
575C2×C8C23×D5912yes—
576C2×C8C23×D5912yes—
577C4⋊C4—592no—
578C4⋊C4—592no—
579C4⋊C4—592no—
580C4⋊C4—592no—
581C4⋊C4—1181no—
582C4⋊C4—1181no—
583C4⋊C4—1181no—
584C4⋊C4—1181no—
585C4⋊C4—1184no—
586C4⋊C4—1184no—
587C4⋊C4—1184no—
588C4⋊C4—1184no—
589C4⋊C4—1184no—
590C4⋊C4—1184no—
591C4⋊C4—1184no—
592C4⋊C4—1184no—
593C4⋊C4—1184no—
594C4⋊C4—1184no—
595C4⋊C4—1184no—
596C4⋊C4—1184no—
597C4⋊C4C2×D23614yes—
598C4⋊C4C2×D23614yes—
599C4⋊C4C2×D23614yes—
600C22⋊C4—1184no—
601C22⋊C4—1184no—
602C22⋊C4—1184no—
603C22⋊C4—1184no—
604C22⋊C4—1184no—
605C42—1184no—
606C42—1184no—
607C42—1184no—
608C42—1184no—
609C42—1184no—
610C42C2×D23612yes—
611C42C2×D23612yes—
612C42C2×D23612yes—
613C42C23×D5912yes—
614C42C23×D5912yes—
615C42C23×D5912yes—
616C23—1182no—
617C23—2362no—
618C23—2362no—
619C23—2362no—
620C23C22×D23611yescharacteristic
621Q8—44no—
622Q8—594no—
623Q8—1182no—
624Q8—1184no—
625Q8—1182no—
626Q8—1182no—
627Q8—1182no—
628Q8—1182no—
629Q8—2368no—
630Q8—2362no—
631Q8—2362no—
632D4—1182no—
633D4—1182no—
634D4—2362no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—1182no—
642C2×C4—1184no—
643C2×C4—1182no—
644C2×C4—1182no—
645C2×C4—1182no—
646C2×C4—1182no—
647C2×C4—1182no—
648C2×C4—1182no—
649C2×C4—2368no—
650C2×C4—2362no—
651C2×C4—2362no—
652C2×C4—2362no—
653C2×C4—2362no—
654C2×C4—2362no—
655C2×C4—2362no—
656C2×C4C22×D23612yes—
657C2×C4C22×D23612yes—
658C2×C4C22×D23612yes—
659C2×C4C22×D23612yes—
660C2×C4C22×D23612yes—
661C2×C4C22×D23612yes—
662C2×C4C22×D23611yescharacteristic
663C2×C4#41×D5912yes—
664C2×C4#1427377512yes—
665C2×C4C24×D5911yescharacteristic
666C8—22no—
667C8—22no—
668C8—22no—
669C8—22no—
670C22—4724no—
671C22—2362no—
672C22—2362no—
673C22—2362no—
674C22#1683806412yes—
675C22#1683820212yes—
676C22#1683821912yes—
677C22C23×D23611yescharacteristic
678C4—22no—
679C4—22no—
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—1184no—
685C4—2362no—
686C4—2362no—
687C4—2362no—
688C4—2362no—
689C4—2362no—
690C4—2362no—
691C4#1683806412yes—
692C4C2×#41×D5911yescharacteristic
693C4C2×#1427377511yescharacteristic
694C2—4722no—
695C2#2143694014yesdirect product factor
696C2C2×#1683806411yescharacteristic
697C2C2×#1683820211yescharacteristic
698C2C2×#1683821911yescharacteristic
subgroupG/H
centerC23C22×D236
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC2×C59×#446C2
socleC23×C59C22×D4
prime radicalC22×D236C23
hypercenterC2×#446D59
hypocenterC59C2×#3377
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
1. C2×#16838130C2semidirect
3. #21436940C2direct (N × H)
4. C2×#16837771C2semidirect
7. C2×#16837710C2semidirect
8. C2×#16837698C2semidirect
12. C2×#16837613C2semidirect
13. C2×#16837510C2semidirect
15. C2×C4×Dic236C2semidirect
16. C2×C59×#446C2semidirect
21. #16838130C22semidirect
44. #16837771C22semidirect
47. #16837710C22semidirect
49. #16837698C22semidirect
52. #16837613C22semidirect
53. #16837510C22semidirect
55. C4×Dic236C22semidirect
70. C59×#446C22semidirect
357. C2×#446D59semidirect
361. C2×C59#3377semidirect
403. #446C2×D59semidirect
426. C59C2×#3377semidirect
695. C2#21436940direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168381302
C2×#168381252
#214369402
C2×#168377712
C2×#168377622
C2×#168377572
C2×#168377102
C2×#168376982
C2×#168377032
C2×#168376252
C2×#168376132
C2×#168375102
C2×#168375042
C2×C4×Dic2362
C2×C59×#4462
C2×#337759