Finite Group Databasebeta

← C2×#22601184 #32877251

Subgroups — C2×#22601184 #32877251

Order 18176.

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×#17986727C211yesmaximal, characteristic, complemented
2C2×#17986722C211yesmaximal, characteristic
3#22601184C2116yesmaximal, direct product factor
4C2×#17986368C211yesmaximal, characteristic, complemented
5C2×#17986359C211yesmaximal, characteristic
6C2×#17986354C211yesmaximal, characteristic
7C2×#17986307C211yesmaximal, characteristic, complemented
8C2×#17986295C211yesmaximal, characteristic, complemented
9C2×#17986300C211yesmaximal, characteristic
10C2×#17986222C211yesmaximal, characteristic
11C2×#17986222C211yesmaximal, characteristic
12C2×#17986210C211yesmaximal, characteristic, complemented
13C2×#17986107C211yesmaximal, characteristic, complemented
14C2×#17986101C211yesmaximal, characteristic
15C2×C4×Dic284C211yesmaximal, characteristic, complemented
16C2×#446×C71C211yesmaximal, characteristic, complemented
17C22×Dic284C2211yescharacteristic
18C22×Dic284C2211yescharacteristic
19C22×#11765854C2211yescharacteristic
20#17986727—24no—
21#17986727C2218yescomplemented
22#17986722—24no—
23#17986722C2218yes—
24C2×#14556128C2211yescharacteristic
25C2×#14556128C2211yescharacteristic
26C2×#14556126—21no—
27C2×#14556123—21no—
28C2×#14556123—21no—
29C2×#14556120C2211yescharacteristic
30C2×#14556120C2211yescharacteristic
31C2×#14556118—21no—
32C2×#14556118—21no—
33C2×#14556116C2211yescharacteristic
34C2×#14556116C2211yescharacteristic
35C2×#14556104—21no—
36C2×C4×Dic142C2211yescharacteristic
37C2×C4×Dic142C2211yescharacteristic
38C2×C4×Dic142C2211yescharacteristic
39C2×C4×Dic142C2211yescharacteristic
40C2×C4×Dic142C2211yescharacteristic
41C2×#14556093—21no—
42C2×C4×D284C2211yescharacteristic
43C2×#14556086—21no—
44#17986368C2218yescomplemented
45#17986359C2218yes—
46#17986354C2218yes—
47#17986307C2218yescomplemented
48#17986300C2218yes—
49#17986295C2218yescomplemented
50#17986222C2218yes—
51#17986222C2218yes—
52#17986210C2218yescomplemented
53#17986107C2218yescomplemented
54#17986101C2218yes—
55C4×Dic284C2218yescomplemented
56C2×#14556062C2211yescharacteristic
57C2×#14556062C2211yescharacteristic
58C2×#14556060C2211yescharacteristic
59C2×#14556053C2211yescharacteristic
60C2×#14556053C2211yescharacteristic
61C2×#14556053C2211yescharacteristic
62C2×#14556053C2211yescharacteristic
63C2×#14556053C2211yescharacteristic
64C2×#14556053C2211yescharacteristic
65C2×#14556053C2211yescharacteristic
66C2×#14556050C2211yescharacteristic
67C2×#14556050C2211yescharacteristic
68C2×#14556050C2211yescharacteristic
69C2×C4×Q8×C71C2211yescharacteristic
70#446×C71C2218yescomplemented
71C2×C4⋊C8×C71C2211yescharacteristic
72C2×C4⋊C8×C71C2211yescharacteristic
73C2×C4⋊C8×C71C2211yescharacteristic
74C2×#97×C71C2211yescharacteristic
75C2×#97×C71C2211yescharacteristic
76C2×C4×C8×C71C2211yescharacteristic
77C22×Dic142—21no—
78C22×Dic142C2311yescharacteristic
79C22×Dic142C2311yescharacteristic
80C22×Dic142C2311yescharacteristic
81C22×D284C2311yescharacteristic
82C22×C4×D71—21no—
83C2×Dic284—24no—
84C2×Dic284—24no—
85C2×Dic284C2314yes—
86C2×Dic284C2314yes—
87C2×#11765854—24no—
88C2×#11765854C2314yes—
89#14556128—22no—
90#14556128—22no—
91#14556128C2314yes—
92#14556128C2314yes—
93#14556126—28no—
94#14556123—28no—
95#14556123—28no—
96#14556120—22no—
97#14556120—22no—
98#14556120C2314yes—
99#14556120C2314yes—
100#14556118—28no—
101#14556118—28no—
102#14556116—22no—
103#14556116—22no—
104#14556116C2314yes—
105#14556116C2314yes—
106#14556104—28no—
107C4×Dic142—22no—
108C4×Dic142—22no—
109C4×Dic142—22no—
110C4×Dic142—22no—
111C4×Dic142—22no—
112C4×Dic142C2314yes—
113C4×Dic142C2314yes—
114C4×Dic142C2314yes—
115C4×Dic142C2314yes—
116C4×Dic142C2314yes—
117#14556093—28no—
118C4×D284—22no—
119C4×D284C2314yes—
120#14556086—28no—
121C2×C4⋊Dic71—21no—
122C2×C4⋊Dic71—21no—
123C2×C4⋊Dic71—21no—
124C2×C4⋊Dic71C2311yescharacteristic
125C2×C4⋊Dic71C2311yescharacteristic
126C2×C4⋊Dic71C2311yescharacteristic
127C2×C4⋊Dic71C2311yescharacteristic
128C2×Dic71⋊C4—21no—
129C2×Dic71⋊C4—21no—
130C2×Dic71⋊C4—21no—
131C2×Dic71⋊C4—21no—
132C2×Dic71⋊C4—21no—
133C2×Dic71⋊C4—21no—
134C2×Dic71⋊C4—21no—
135C2×Dic71⋊C4—21no—
136C2×Dic71⋊C4—21no—
137C2×(C2×D71)⋊C4—21no—
138C2×(C2×D71)⋊C4—21no—
139C2×(C2×D71)⋊C4—21no—
140C2×(C2×D71)⋊C4—21no—
141C2×(C2×D71)⋊C4—21no—
142C2×C4×Dic71—21no—
143C2×C4×Dic71—21no—
144C2×C4×Dic71—21no—
145C2×C4×Dic71—21no—
146C2×C4×Dic71—21no—
147#14556062C2314yes—
148#14556062C2314yes—
149#14556060C2314yes—
150#14556053C2314yes—
151#14556053C2314yes—
152#14556053C2314yes—
153#14556053C2314yes—
154#14556053C2314yes—
155#14556053C2314yes—
156#14556053C2314yes—
157#14556050C2314yes—
158#14556050C2314yes—
159#14556050C2314yes—
160C22×Q8×C71D411yescharacteristic
161C22×C8×C71C2311yescharacteristic
162C22×C8×C71C2311yescharacteristic
163C22×C8×C71C2311yescharacteristic
164C22×C8×C71C2311yescharacteristic
165C4×Q8×C71D414yes—
166C4×Q8×C71C2314yes—
167C2×C4⋊C4×C71D411yescharacteristic
168C2×C4⋊C4×C71D411yescharacteristic
169C2×C4⋊C4×C71D411yescharacteristic
170C2×C42×C71C2311yescharacteristic
171C2×C42×C71C2311yescharacteristic
172C2×C42×C71C2311yescharacteristic
173C4⋊C8×C71C2314yes—
174C4⋊C8×C71C2314yes—
175C4⋊C8×C71C2314yes—
176#97×C71C2314yes—
177#97×C71C2314yes—
178C4×C8×C71C2314yes—
179C23×D71—21no—
180C2×Dic142—21no—
181C2×Dic142—22no—
182C2×Dic142—22no—
183C2×Dic142—22no—
184C2×Dic142—22no—
185C2×Dic142—22no—
186C2×Dic142—24no—
187C2×Dic142—21no—
188C2×Dic142—21no—
189C2×Dic142—44no—
190C2×Dic142#4114yes—
191C2×Dic142C2412yes—
192C2×Dic142C2412yes—
193C2×Dic142C2412yes—
194C2×D284—22no—
195C2×D284—22no—
196C2×D284—21no—
197C2×D284C2412yes—
198C22×Dic71—21no—
199C22×Dic71—21no—
200C22×Dic71—21no—
201C22×Dic71—21no—
202C22×Dic71—21no—
203C22×Dic71—21no—
204C22×Dic71—21no—
205C2×C4×D71—24no—
206C2×C4×D71—44no—
207Dic284—28no—
208Dic284—28no—
209#11765854—28no—
210C4⋊Dic71—24no—
211C4⋊Dic71—24no—
212C4⋊Dic71—24no—
213C4⋊Dic71—21no—
214C4⋊Dic71—21no—
215C4⋊Dic71—21no—
216C4⋊Dic71—21no—
217C4⋊Dic71C2412yes—
218C4⋊Dic71C2412yes—
219C4⋊Dic71C2412yes—
220C4⋊Dic71C2412yes—
221Dic71⋊C4—24no—
222Dic71⋊C4—24no—
223Dic71⋊C4—24no—
224Dic71⋊C4—24no—
225Dic71⋊C4—24no—
226Dic71⋊C4—24no—
227Dic71⋊C4—24no—
228Dic71⋊C4—24no—
229Dic71⋊C4—24no—
230(C2×D71)⋊C4—24no—
231(C2×D71)⋊C4—24no—
232(C2×D71)⋊C4—24no—
233(C2×D71)⋊C4—24no—
234(C2×D71)⋊C4—24no—
235C4×Dic71—24no—
236C4×Dic71—24no—
237C4×Dic71—24no—
238C4×Dic71—24no—
239C4×Dic71—24no—
240C2×Q8×C71—42no—
241C2×Q8×C71C2×D414yes—
242C22×C4×C71C2×D411yescharacteristic
243C22×C4×C71C2×D411yescharacteristic
244C22×C4×C71C2×D411yescharacteristic
245C22×C4×C71C2×D411yescharacteristic
246C22×C4×C71C2×D411yescharacteristic
247C22×C4×C71C2×D411yescharacteristic
248C22×C4×C71C2411yescharacteristic
249C2×C8×C71—22no—
250C2×C8×C71—22no—
251C2×C8×C71—22no—
252C2×C8×C71—22no—
253C2×C8×C71C2412yes—
254C2×C8×C71C2412yes—
255C2×C8×C71C2412yes—
256C2×C8×C71C2412yes—
257C4⋊C4×C71C2×D414yes—
258C4⋊C4×C71C2×D414yes—
259C4⋊C4×C71C2×D414yes—
260C42×C71C2×D412yes—
261C42×C71C2×D412yes—
262C42×C71C2×D412yes—
263C42×C71C2412yes—
264C42×C71C2412yes—
265C42×C71C2412yes—
266C23×C71C22×D411yescharacteristic
267C22×D71—22no—
268C22×D71—42no—
269C22×D71—42no—
270C22×D71—42no—
271Q8×C71—44no—
272C2×C4×C71—22no—
273C2×C4×C71—22no—
274C2×C4×C71—22no—
275C2×C4×C71—22no—
276C2×C4×C71—22no—
277C2×C4×C71—22no—
278C2×C4×C71C22×D412yes—
279C2×C4×C71C22×D412yes—
280C2×C4×C71C22×D412yes—
281C2×C4×C71C22×D412yes—
282C2×C4×C71C22×D412yes—
283C2×C4×C71C22×D412yes—
284C2×C4×C71C22×D411yescharacteristic
285C2×C4×C71C2×#4112yes—
286C2×C4×C712−1+412yes—
287C2×C4×C71C2511yescharacteristic
288C2×Dic71—24no—
289C2×Dic71—22no—
290C2×Dic71—22no—
291C2×Dic71—22no—
292C2×Dic71—22no—
293C2×Dic71—22no—
294C2×Dic71—22no—
295C2×Dic71—22no—
296C2×Dic71—42no—
297C2×Dic71—42no—
298C2×Dic71—42no—
299C2×Dic71—42no—
300C2×Dic71—42no—
301C2×Dic71—42no—
302D284—22no—
303D284—22no—
304D284—42no—
305C4×D71—48no—
306Dic142—24no—
307Dic142—22no—
308Dic142—22no—
309Dic142—22no—
310Dic142—22no—
311Dic142—22no—
312Dic142—48no—
313Dic142—42no—
314Dic142—42no—
315Dic142C2×#4114yes—
316C8×C71—22no—
317C8×C71—22no—
318C8×C71—22no—
319C8×C71—22no—
320C22×C71#54812yes—
321C22×C71#57512yes—
322C22×C71#57812yes—
323C22×C71C23×D411yescharacteristic
324C2×D71—42no—
325C2×D71—42no—
326C2×D71—42no—
327C2×D71—84no—
328C4×C71—22no—
329C4×C71—22no—
330C4×C71—22no—
331C4×C71—22no—
332C4×C71—22no—
333C4×C71—22no—
334C4×C71#54812yes—
335C4×C71C22×#4111yescharacteristic
336C4×C71C2×2−1+411yescharacteristic
337Dic71—24no—
338Dic71—42no—
339Dic71—42no—
340Dic71—42no—
341Dic71—42no—
342Dic71—42no—
343Dic71—42no—
344C2×#3377—711nomaximal, Sylow
345C2×C71#337714yescomplemented
346C2×C71C2×#54811yescharacteristic
347C2×C71C2×#57511yescharacteristic
348C2×C71C2×#57811yescharacteristic
349D71—82no—
350C2×#557—711no—
351C2×#556—711no—
352#3377—7116no—
353C2×#491—711no—
354C2×#489—711no—
355C2×#488—711no—
356C2×#479—711no—
357C2×#477—711no—
358C2×#478—711no—
359C2×#464—711no—
360C2×#464—711no—
361C2×#462—711no—
362C2×#446D7111yescharacteristic, complemented
363C2×#441—711no—
364C2×#440—711no—
365C2×C4×Q16—711no—
366C71C2×#337711yescharacteristic, complemented, Sylow
367C22×Q16—711no—
368C22×Q16—711no—
369C22×SD16—711no—
370#557—718no—
371#557—1424no—
372#556—718no—
373#556—1424no—
374C2×C4⋊Q8—711no—
375C2×C4⋊Q8—711no—
376C2×C4⋊Q8—1421no—
377C2×#126—1421no—
378C2×#126—1421no—
379C2×#125—711no—
380C2×#125—711no—
381C2×#125—1421no—
382C2×#125—1421no—
383C2×#124—711no—
384C2×#124—711no—
385C2×C22⋊Q8—1421no—
386C2×C4×Q8—711no—
387C2×C4×Q8—711no—
388C2×C4×Q8—711no—
389C2×C4×Q8—711no—
390C2×C4×Q8—711no—
391C2×C4×Q8—1421no—
392C2×C4×Q8C2×D7111yescharacteristic
393C2×C4×D4—711no—
394C2×#117—1421no—
395#491—718no—
396#489—718no—
397#488—718no—
398#479—718no—
399#478—718no—
400#477—718no—
401#464—718no—
402#464—718no—
403#462—718no—
404#446C2×D7118yescomplemented
405#441—718no—
406#440—718no—
407C4×Q16—718no—
408C2×#107—711no—
409C2×#107—711no—
410C2×#106—711no—
411C2×C4⋊C8C2×D7111yescharacteristic
412C2×C4⋊C8C2×D7111yescharacteristic
413C2×C4⋊C8C2×D7111yescharacteristic
414C2×#103—711no—
415C2×#103—711no—
416C2×#103—711no—
417C2×#103—711no—
418C2×#103—711no—
419C2×#103—711no—
420C2×#103—711no—
421C2×#102—711no—
422C2×#102—711no—
423C2×#102—711no—
424C2×#97C2×D7111yescharacteristic
425C2×#97C2×D7111yescharacteristic
426C2×C4×C8C2×D7111yescharacteristic
427C22×Q8—711no—
428C22×Q8—711no—
429C22×Q8—711no—
430C22×Q8—1421no—
431C22×Q8D28411yescharacteristic
432C22×D4—711no—
433C23×C4—1421no—
434C2×Q16—714no—
435C2×Q16—714no—
436C2×Q16—1424no—
437C2×Q16—1424no—
438C2×SD16—714no—
439C2×SD16—1424no—
440C22×C8C22×D7111yescharacteristic
441C22×C8C22×D7111yescharacteristic
442C22×C8C22×D7111yescharacteristic
443C22×C8C22×D7111yescharacteristic
444C4⋊Q8—714no—
445C4⋊Q8—714no—
446C4⋊Q8—1428no—
447C4⋊Q8—1422no—
448C4⋊Q8—1422no—
449#126—1428no—
450#126—1428no—
451#125—714no—
452#125—714no—
453#125—1428no—
454#125—1428no—
455#125—1422no—
456#125—1422no—
457#124—714no—
458#124—714no—
459#124—1422no—
460#124—1422no—
461C22⋊Q8—1428no—
462C4×Q8—714no—
463C4×Q8—714no—
464C4×Q8—714no—
465C4×Q8—714no—
466C4×Q8—714no—
467C4×Q8—1428no—
468C4×Q8—1422no—
469C4×Q8—1422no—
470C4×Q8—1422no—
471C4×Q8—1422no—
472C4×Q8—1422no—
473C4×Q8D28414yes—
474C4×Q8C22×D7114yes—
475C4×D4—714no—
476C4×D4—1422no—
477#117—1428no—
478C2×C4⋊C4—711no—
479C2×C4⋊C4—711no—
480C2×C4⋊C4—711no—
481C2×C4⋊C4—711no—
482C2×C4⋊C4—1421no—
483C2×C4⋊C4—1421no—
484C2×C4⋊C4—1421no—
485C2×C4⋊C4—1421no—
486C2×C4⋊C4—1421no—
487C2×C4⋊C4—1421no—
488C2×C4⋊C4—1421no—
489C2×C4⋊C4—1421no—
490C2×C4⋊C4—1421no—
491C2×C4⋊C4—1421no—
492C2×C4⋊C4—1421no—
493C2×C4⋊C4—1421no—
494C2×C4⋊C4D28411yescharacteristic
495C2×C4⋊C4D28411yescharacteristic
496C2×C4⋊C4D28411yescharacteristic
497C2×C22⋊C4—1421no—
498C2×C22⋊C4—1421no—
499C2×C22⋊C4—1421no—
500C2×C22⋊C4—1421no—
501C2×C22⋊C4—1421no—
502C2×C42—1421no—
503C2×C42—1421no—
504C2×C42—1421no—
505C2×C42—1421no—
506C2×C42—1421no—
507C2×C42C22×D7111yescharacteristic
508C2×C42C22×D7111yescharacteristic
509C2×C42C22×D7111yescharacteristic
510#107—714no—
511#107—714no—
512#106—714no—
513C4⋊C8C22×D7114yes—
514C4⋊C8C22×D7114yes—
515C4⋊C8C22×D7114yes—
516#103—714no—
517#103—714no—
518#103—714no—
519#103—714no—
520#103—714no—
521#103—714no—
522#103—714no—
523#102—714no—
524#102—714no—
525#102—714no—
526#97C22×D7114yes—
527#97C22×D7114yes—
528C4×C8C22×D7114yes—
529C24—1421no—
530C2×Q8—42no—
531C2×Q8—2844no—
532C2×Q8—714no—
533C2×Q8—712no—
534C2×Q8—712no—
535C2×Q8—712no—
536C2×Q8—1422no—
537C2×Q8—1422no—
538C2×Q8—1422no—
539C2×Q8—1422no—
540C2×Q8—1421no—
541C2×Q8—1421no—
542C2×Q8—1424no—
543C2×Q8—1421no—
544C2×Q8—1422no—
545C2×Q8C2×D28414yes—
546C2×D4—712no—
547C2×D4—1421no—
548C2×D4—1422no—
549C2×D4—1422no—
550C22×C4—2844no—
551C22×C4—1421no—
552C22×C4—1421no—
553C22×C4—1421no—
554C22×C4—1421no—
555C22×C4—1421no—
556C22×C4—1421no—
557C22×C4—1424no—
558C22×C4—1421no—
559C22×C4C2×D28411yescharacteristic
560C22×C4C2×D28411yescharacteristic
561C22×C4C2×D28411yescharacteristic
562C22×C4C2×D28411yescharacteristic
563C22×C4C2×D28411yescharacteristic
564C22×C4C2×D28411yescharacteristic
565C22×C4C23×D7111yescharacteristic
566Q16—1428no—
567Q16—1428no—
568SD16—1428no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8C23×D7112yes—
574C2×C8C23×D7112yes—
575C2×C8C23×D7112yes—
576C2×C8C23×D7112yes—
577C4⋊C4—712no—
578C4⋊C4—712no—
579C4⋊C4—712no—
580C4⋊C4—712no—
581C4⋊C4—1424no—
582C4⋊C4—1424no—
583C4⋊C4—1424no—
584C4⋊C4—1424no—
585C4⋊C4—1424no—
586C4⋊C4—1424no—
587C4⋊C4—1424no—
588C4⋊C4—1424no—
589C4⋊C4—1424no—
590C4⋊C4—1421no—
591C4⋊C4—1421no—
592C4⋊C4—1421no—
593C4⋊C4—1421no—
594C4⋊C4—1424no—
595C4⋊C4—1424no—
596C4⋊C4—1424no—
597C4⋊C4C2×D28414yes—
598C4⋊C4C2×D28414yes—
599C4⋊C4C2×D28414yes—
600C22⋊C4—1424no—
601C22⋊C4—1424no—
602C22⋊C4—1424no—
603C22⋊C4—1424no—
604C22⋊C4—1424no—
605C42—1424no—
606C42—1424no—
607C42—1424no—
608C42—1424no—
609C42—1424no—
610C42C2×D28412yes—
611C42C2×D28412yes—
612C42C2×D28412yes—
613C42C23×D7112yes—
614C42C23×D7112yes—
615C42C23×D7112yes—
616C23—2842no—
617C23—2842no—
618C23—2842no—
619C23—1422no—
620C23C22×D28411yescharacteristic
621Q8—44no—
622Q8—2848no—
623Q8—2842no—
624Q8—2842no—
625Q8—714no—
626Q8—1422no—
627Q8—1422no—
628Q8—1422no—
629Q8—1422no—
630Q8—1422no—
631Q8—1424no—
632D4—2842no—
633D4—1422no—
634D4—1422no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—2848no—
642C2×C4—2842no—
643C2×C4—2842no—
644C2×C4—2842no—
645C2×C4—2842no—
646C2×C4—2842no—
647C2×C4—2842no—
648C2×C4—1422no—
649C2×C4—1422no—
650C2×C4—1422no—
651C2×C4—1422no—
652C2×C4—1422no—
653C2×C4—1422no—
654C2×C4—1422no—
655C2×C4—1424no—
656C2×C4C22×D28412yes—
657C2×C4C22×D28412yes—
658C2×C4C22×D28412yes—
659C2×C4C22×D28412yes—
660C2×C4C22×D28412yes—
661C2×C4C22×D28412yes—
662C2×C4C22×D28411yescharacteristic
663C2×C4#41×D7112yes—
664C2×C4#1455617612yes—
665C2×C4C24×D7111yescharacteristic
666C8—22no—
667C8—22no—
668C8—22no—
669C8—22no—
670C22—2842no—
671C22—2842no—
672C22—2842no—
673C22—5684no—
674C22#1798666112yes—
675C22#1798679912yes—
676C22#1798681612yes—
677C22C23×D28411yescharacteristic
678C4—22no—
679C4—22no—
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—2842no—
685C4—2842no—
686C4—2842no—
687C4—2842no—
688C4—2842no—
689C4—2842no—
690C4—1424no—
691C4#1798666112yes—
692C4C2×#41×D7111yescharacteristic
693C4C2×#1455617611yescharacteristic
694C2—5682no—
695C2#2260118414yesdirect product factor
696C2C2×#1798666111yescharacteristic
697C2C2×#1798679911yescharacteristic
698C2C2×#1798681611yescharacteristic
subgroupG/H
centerC23C22×D284
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC2×#446×C71C2
socleC23×C71C22×D4
prime radicalC22×D284C23
hypercenterC2×#446D71
hypocenterC71C2×#3377
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
1. C2×#17986727C2semidirect
3. #22601184C2direct (N × H)
4. C2×#17986368C2semidirect
7. C2×#17986307C2semidirect
8. C2×#17986295C2semidirect
12. C2×#17986210C2semidirect
13. C2×#17986107C2semidirect
15. C2×C4×Dic284C2semidirect
16. C2×#446×C71C2semidirect
21. #17986727C22semidirect
44. #17986368C22semidirect
47. #17986307C22semidirect
49. #17986295C22semidirect
52. #17986210C22semidirect
53. #17986107C22semidirect
55. C4×Dic284C22semidirect
70. #446×C71C22semidirect
345. C2×C71#3377semidirect
362. C2×#446D71semidirect
366. C71C2×#3377semidirect
404. #446C2×D71semidirect
695. C2#22601184direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179867272
C2×#179867222
#226011842
C2×#179863682
C2×#179863592
C2×#179863542
C2×#179863072
C2×#179862952
C2×#179863002
C2×#179862222
C2×#179862102
C2×#179861072
C2×#179861012
C2×C4×Dic2842
C2×#446×C712
C2×#337771