Finite Group Databasebeta

← C2×#23776244 #35168068

Subgroups — C2×#23776244 #35168068

Order 20224.

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×#19099291C211yesmaximal, characteristic, complemented
2C2×#19099286C211yesmaximal, characteristic
3#23776244C2116yesmaximal, direct product factor
4C2×#19098932C211yesmaximal, characteristic, complemented
5C2×#19098923C211yesmaximal, characteristic
6C2×#19098918C211yesmaximal, characteristic
7C2×#19098871C211yesmaximal, characteristic, complemented
8C2×#19098859C211yesmaximal, characteristic, complemented
9C2×#19098864C211yesmaximal, characteristic
10C2×#19098786C211yesmaximal, characteristic
11C2×#19098786C211yesmaximal, characteristic
12C2×#19098774C211yesmaximal, characteristic, complemented
13C2×#19098671C211yesmaximal, characteristic, complemented
14C2×#19098665C211yesmaximal, characteristic
15C2×C4×Dic316C211yesmaximal, characteristic, complemented
16C2×#446×C79C211yesmaximal, characteristic, complemented
17C22×Dic316C2211yescharacteristic
18C22×Dic316C2211yescharacteristic
19C22×#11929613C2211yescharacteristic
20#19099291—24no—
21#19099291C2218yescomplemented
22#19099286—24no—
23#19099286C2218yes—
24C2×#14579161C2211yescharacteristic
25C2×#14579161C2211yescharacteristic
26C2×#14579159—21no—
27C2×#14579156—21no—
28C2×#14579156—21no—
29C2×#14579153C2211yescharacteristic
30C2×#14579153C2211yescharacteristic
31C2×#14579151—21no—
32C2×#14579151—21no—
33C2×#14579149C2211yescharacteristic
34C2×#14579149C2211yescharacteristic
35C2×#14579137—21no—
36C2×C4×Dic158C2211yescharacteristic
37C2×C4×Dic158C2211yescharacteristic
38C2×C4×Dic158C2211yescharacteristic
39C2×C4×Dic158C2211yescharacteristic
40C2×C4×Dic158C2211yescharacteristic
41C2×#14579126—21no—
42C2×C4×D316C2211yescharacteristic
43C2×#14579119—21no—
44#19098932C2218yescomplemented
45#19098923C2218yes—
46#19098918C2218yes—
47#19098871C2218yescomplemented
48#19098864C2218yes—
49#19098859C2218yescomplemented
50#19098786C2218yes—
51#19098786C2218yes—
52#19098774C2218yescomplemented
53#19098671C2218yescomplemented
54#19098665C2218yes—
55C4×Dic316C2218yescomplemented
56C2×#14579095C2211yescharacteristic
57C2×#14579095C2211yescharacteristic
58C2×#14579093C2211yescharacteristic
59C2×#14579086C2211yescharacteristic
60C2×#14579086C2211yescharacteristic
61C2×#14579086C2211yescharacteristic
62C2×#14579086C2211yescharacteristic
63C2×#14579086C2211yescharacteristic
64C2×#14579086C2211yescharacteristic
65C2×#14579086C2211yescharacteristic
66C2×#14579083C2211yescharacteristic
67C2×#14579083C2211yescharacteristic
68C2×#14579083C2211yescharacteristic
69C2×C4×Q8×C79C2211yescharacteristic
70#446×C79C2218yescomplemented
71C2×C4⋊C8×C79C2211yescharacteristic
72C2×C4⋊C8×C79C2211yescharacteristic
73C2×C4⋊C8×C79C2211yescharacteristic
74C2×#97×C79C2211yescharacteristic
75C2×#97×C79C2211yescharacteristic
76C2×C4×C8×C79C2211yescharacteristic
77C22×Dic158—21no—
78C22×Dic158C2311yescharacteristic
79C22×Dic158C2311yescharacteristic
80C22×Dic158C2311yescharacteristic
81C22×D316C2311yescharacteristic
82C22×C4×D79—21no—
83C2×Dic316—24no—
84C2×Dic316—24no—
85C2×Dic316C2314yes—
86C2×Dic316C2314yes—
87C2×#11929613—24no—
88C2×#11929613C2314yes—
89#14579161—22no—
90#14579161—22no—
91#14579161C2314yes—
92#14579161C2314yes—
93#14579159—28no—
94#14579156—28no—
95#14579156—28no—
96#14579153—22no—
97#14579153—22no—
98#14579153C2314yes—
99#14579153C2314yes—
100#14579151—28no—
101#14579151—28no—
102#14579149—22no—
103#14579149—22no—
104#14579149C2314yes—
105#14579149C2314yes—
106#14579137—28no—
107C4×Dic158—22no—
108C4×Dic158—22no—
109C4×Dic158—22no—
110C4×Dic158—22no—
111C4×Dic158—22no—
112C4×Dic158C2314yes—
113C4×Dic158C2314yes—
114C4×Dic158C2314yes—
115C4×Dic158C2314yes—
116C4×Dic158C2314yes—
117#14579126—28no—
118C4×D316—22no—
119C4×D316C2314yes—
120#14579119—28no—
121C2×C4⋊Dic79—21no—
122C2×C4⋊Dic79—21no—
123C2×C4⋊Dic79—21no—
124C2×C4⋊Dic79C2311yescharacteristic
125C2×C4⋊Dic79C2311yescharacteristic
126C2×C4⋊Dic79C2311yescharacteristic
127C2×C4⋊Dic79C2311yescharacteristic
128C2×Dic79⋊C4—21no—
129C2×Dic79⋊C4—21no—
130C2×Dic79⋊C4—21no—
131C2×Dic79⋊C4—21no—
132C2×Dic79⋊C4—21no—
133C2×Dic79⋊C4—21no—
134C2×Dic79⋊C4—21no—
135C2×Dic79⋊C4—21no—
136C2×Dic79⋊C4—21no—
137C2×(C2×D79)⋊C4—21no—
138C2×(C2×D79)⋊C4—21no—
139C2×(C2×D79)⋊C4—21no—
140C2×(C2×D79)⋊C4—21no—
141C2×(C2×D79)⋊C4—21no—
142C2×C4×Dic79—21no—
143C2×C4×Dic79—21no—
144C2×C4×Dic79—21no—
145C2×C4×Dic79—21no—
146C2×C4×Dic79—21no—
147#14579095C2314yes—
148#14579095C2314yes—
149#14579093C2314yes—
150#14579086C2314yes—
151#14579086C2314yes—
152#14579086C2314yes—
153#14579086C2314yes—
154#14579086C2314yes—
155#14579086C2314yes—
156#14579086C2314yes—
157#14579083C2314yes—
158#14579083C2314yes—
159#14579083C2314yes—
160C22×Q8×C79D411yescharacteristic
161C22×C8×C79C2311yescharacteristic
162C22×C8×C79C2311yescharacteristic
163C22×C8×C79C2311yescharacteristic
164C22×C8×C79C2311yescharacteristic
165C4×Q8×C79D414yes—
166C4×Q8×C79C2314yes—
167C2×C4⋊C4×C79D411yescharacteristic
168C2×C4⋊C4×C79D411yescharacteristic
169C2×C4⋊C4×C79D411yescharacteristic
170C2×C42×C79C2311yescharacteristic
171C2×C42×C79C2311yescharacteristic
172C2×C42×C79C2311yescharacteristic
173C4⋊C8×C79C2314yes—
174C4⋊C8×C79C2314yes—
175C4⋊C8×C79C2314yes—
176#97×C79C2314yes—
177#97×C79C2314yes—
178C4×C8×C79C2314yes—
179C23×D79—21no—
180C2×Dic158—21no—
181C2×Dic158—24no—
182C2×Dic158—21no—
183C2×Dic158—21no—
184C2×Dic158—22no—
185C2×Dic158—22no—
186C2×Dic158—22no—
187C2×Dic158—22no—
188C2×Dic158—22no—
189C2×Dic158—44no—
190C2×Dic158#4114yes—
191C2×Dic158C2412yes—
192C2×Dic158C2412yes—
193C2×Dic158C2412yes—
194C2×D316—21no—
195C2×D316—22no—
196C2×D316—22no—
197C2×D316C2412yes—
198C22×Dic79—21no—
199C22×Dic79—21no—
200C22×Dic79—21no—
201C22×Dic79—21no—
202C22×Dic79—21no—
203C22×Dic79—21no—
204C22×Dic79—21no—
205C2×C4×D79—24no—
206C2×C4×D79—44no—
207Dic316—28no—
208Dic316—28no—
209#11929613—28no—
210C4⋊Dic79—24no—
211C4⋊Dic79—24no—
212C4⋊Dic79—24no—
213C4⋊Dic79—21no—
214C4⋊Dic79—21no—
215C4⋊Dic79—21no—
216C4⋊Dic79—21no—
217C4⋊Dic79C2412yes—
218C4⋊Dic79C2412yes—
219C4⋊Dic79C2412yes—
220C4⋊Dic79C2412yes—
221Dic79⋊C4—24no—
222Dic79⋊C4—24no—
223Dic79⋊C4—24no—
224Dic79⋊C4—24no—
225Dic79⋊C4—24no—
226Dic79⋊C4—24no—
227Dic79⋊C4—24no—
228Dic79⋊C4—24no—
229Dic79⋊C4—24no—
230(C2×D79)⋊C4—24no—
231(C2×D79)⋊C4—24no—
232(C2×D79)⋊C4—24no—
233(C2×D79)⋊C4—24no—
234(C2×D79)⋊C4—24no—
235C4×Dic79—24no—
236C4×Dic79—24no—
237C4×Dic79—24no—
238C4×Dic79—24no—
239C4×Dic79—24no—
240C2×Q8×C79—42no—
241C2×Q8×C79C2×D414yes—
242C22×C4×C79C2×D411yescharacteristic
243C22×C4×C79C2×D411yescharacteristic
244C22×C4×C79C2×D411yescharacteristic
245C22×C4×C79C2×D411yescharacteristic
246C22×C4×C79C2×D411yescharacteristic
247C22×C4×C79C2×D411yescharacteristic
248C22×C4×C79C2411yescharacteristic
249C2×C8×C79—22no—
250C2×C8×C79—22no—
251C2×C8×C79—22no—
252C2×C8×C79—22no—
253C2×C8×C79C2412yes—
254C2×C8×C79C2412yes—
255C2×C8×C79C2412yes—
256C2×C8×C79C2412yes—
257C4⋊C4×C79C2×D414yes—
258C4⋊C4×C79C2×D414yes—
259C4⋊C4×C79C2×D414yes—
260C42×C79C2×D412yes—
261C42×C79C2×D412yes—
262C42×C79C2×D412yes—
263C42×C79C2412yes—
264C42×C79C2412yes—
265C42×C79C2412yes—
266C23×C79C22×D411yescharacteristic
267C22×D79—22no—
268C22×D79—42no—
269C22×D79—42no—
270C22×D79—42no—
271Q8×C79—44no—
272C2×C4×C79—22no—
273C2×C4×C79—22no—
274C2×C4×C79—22no—
275C2×C4×C79—22no—
276C2×C4×C79—22no—
277C2×C4×C79—22no—
278C2×C4×C79C22×D412yes—
279C2×C4×C79C22×D412yes—
280C2×C4×C79C22×D412yes—
281C2×C4×C79C22×D412yes—
282C2×C4×C79C22×D412yes—
283C2×C4×C79C22×D412yes—
284C2×C4×C79C22×D411yescharacteristic
285C2×C4×C79C2×#4112yes—
286C2×C4×C792−1+412yes—
287C2×C4×C79C2511yescharacteristic
288C2×Dic79—24no—
289C2×Dic79—22no—
290C2×Dic79—22no—
291C2×Dic79—22no—
292C2×Dic79—22no—
293C2×Dic79—22no—
294C2×Dic79—22no—
295C2×Dic79—22no—
296C2×Dic79—42no—
297C2×Dic79—42no—
298C2×Dic79—42no—
299C2×Dic79—42no—
300C2×Dic79—42no—
301C2×Dic79—42no—
302D316—22no—
303D316—22no—
304D316—42no—
305C4×D79—48no—
306Dic158—24no—
307Dic158—22no—
308Dic158—22no—
309Dic158—22no—
310Dic158—22no—
311Dic158—22no—
312Dic158—48no—
313Dic158—42no—
314Dic158—42no—
315Dic158C2×#4114yes—
316C8×C79—22no—
317C8×C79—22no—
318C8×C79—22no—
319C8×C79—22no—
320C22×C79#54812yes—
321C22×C79#57512yes—
322C22×C79#57812yes—
323C22×C79C23×D411yescharacteristic
324C2×D79—42no—
325C2×D79—42no—
326C2×D79—42no—
327C2×D79—84no—
328C4×C79—22no—
329C4×C79—22no—
330C4×C79—22no—
331C4×C79—22no—
332C4×C79—22no—
333C4×C79—22no—
334C4×C79#54812yes—
335C4×C79C22×#4111yescharacteristic
336C4×C79C2×2−1+411yescharacteristic
337Dic79—24no—
338Dic79—42no—
339Dic79—42no—
340Dic79—42no—
341Dic79—42no—
342Dic79—42no—
343Dic79—42no—
344C2×#3377—791nomaximal, Sylow
345C2×C79#337714yescomplemented
346C2×C79C2×#54811yescharacteristic
347C2×C79C2×#57511yescharacteristic
348C2×C79C2×#57811yescharacteristic
349D79—82no—
350C2×#557—791no—
351C2×#556—791no—
352#3377—7916no—
353C2×#491—791no—
354C2×#489—791no—
355C2×#488—791no—
356C2×#479—791no—
357C2×#477—791no—
358C2×#478—791no—
359C2×#464—791no—
360C2×#464—791no—
361C2×#462—791no—
362C2×#446D7911yescharacteristic, complemented
363C2×#441—791no—
364C2×#440—791no—
365C2×C4×Q16—791no—
366C79C2×#337711yescharacteristic, complemented, Sylow
367C22×Q16—791no—
368C22×Q16—791no—
369C22×SD16—791no—
370#557—798no—
371#557—1584no—
372#556—798no—
373#556—1584no—
374C2×C4⋊Q8—791no—
375C2×C4⋊Q8—791no—
376C2×C4⋊Q8—1581no—
377C2×#126—1581no—
378C2×#126—1581no—
379C2×#125—791no—
380C2×#125—791no—
381C2×#125—1581no—
382C2×#125—1581no—
383C2×#124—791no—
384C2×#124—791no—
385C2×C22⋊Q8—1581no—
386C2×C4×Q8—791no—
387C2×C4×Q8—791no—
388C2×C4×Q8—791no—
389C2×C4×Q8—791no—
390C2×C4×Q8—791no—
391C2×C4×Q8—1581no—
392C2×C4×Q8C2×D7911yescharacteristic
393C2×C4×D4—791no—
394C2×#117—1581no—
395#491—798no—
396#489—798no—
397#488—798no—
398#479—798no—
399#478—798no—
400#477—798no—
401#464—798no—
402#464—798no—
403#462—798no—
404#446C2×D7918yescomplemented
405#441—798no—
406#440—798no—
407C4×Q16—798no—
408C2×#107—791no—
409C2×#107—791no—
410C2×#106—791no—
411C2×C4⋊C8C2×D7911yescharacteristic
412C2×C4⋊C8C2×D7911yescharacteristic
413C2×C4⋊C8C2×D7911yescharacteristic
414C2×#103—791no—
415C2×#103—791no—
416C2×#103—791no—
417C2×#103—791no—
418C2×#103—791no—
419C2×#103—791no—
420C2×#103—791no—
421C2×#102—791no—
422C2×#102—791no—
423C2×#102—791no—
424C2×#97C2×D7911yescharacteristic
425C2×#97C2×D7911yescharacteristic
426C2×C4×C8C2×D7911yescharacteristic
427C22×Q8—791no—
428C22×Q8—791no—
429C22×Q8—791no—
430C22×Q8—1581no—
431C22×Q8D31611yescharacteristic
432C22×D4—791no—
433C23×C4—1581no—
434C2×Q16—794no—
435C2×Q16—794no—
436C2×Q16—1584no—
437C2×Q16—1584no—
438C2×SD16—794no—
439C2×SD16—1584no—
440C22×C8C22×D7911yescharacteristic
441C22×C8C22×D7911yescharacteristic
442C22×C8C22×D7911yescharacteristic
443C22×C8C22×D7911yescharacteristic
444C4⋊Q8—794no—
445C4⋊Q8—794no—
446C4⋊Q8—1588no—
447C4⋊Q8—1582no—
448C4⋊Q8—1582no—
449#126—1588no—
450#126—1588no—
451#125—794no—
452#125—794no—
453#125—1588no—
454#125—1588no—
455#125—1582no—
456#125—1582no—
457#124—794no—
458#124—794no—
459#124—1582no—
460#124—1582no—
461C22⋊Q8—1588no—
462C4×Q8—794no—
463C4×Q8—794no—
464C4×Q8—794no—
465C4×Q8—794no—
466C4×Q8—794no—
467C4×Q8—1588no—
468C4×Q8—1582no—
469C4×Q8—1582no—
470C4×Q8—1582no—
471C4×Q8—1582no—
472C4×Q8—1582no—
473C4×Q8D31614yes—
474C4×Q8C22×D7914yes—
475C4×D4—794no—
476C4×D4—1582no—
477#117—1588no—
478C2×C4⋊C4—791no—
479C2×C4⋊C4—791no—
480C2×C4⋊C4—791no—
481C2×C4⋊C4—791no—
482C2×C4⋊C4—1581no—
483C2×C4⋊C4—1581no—
484C2×C4⋊C4—1581no—
485C2×C4⋊C4—1581no—
486C2×C4⋊C4—1581no—
487C2×C4⋊C4—1581no—
488C2×C4⋊C4—1581no—
489C2×C4⋊C4—1581no—
490C2×C4⋊C4—1581no—
491C2×C4⋊C4—1581no—
492C2×C4⋊C4—1581no—
493C2×C4⋊C4—1581no—
494C2×C4⋊C4D31611yescharacteristic
495C2×C4⋊C4D31611yescharacteristic
496C2×C4⋊C4D31611yescharacteristic
497C2×C22⋊C4—1581no—
498C2×C22⋊C4—1581no—
499C2×C22⋊C4—1581no—
500C2×C22⋊C4—1581no—
501C2×C22⋊C4—1581no—
502C2×C42—1581no—
503C2×C42—1581no—
504C2×C42—1581no—
505C2×C42—1581no—
506C2×C42—1581no—
507C2×C42C22×D7911yescharacteristic
508C2×C42C22×D7911yescharacteristic
509C2×C42C22×D7911yescharacteristic
510#107—794no—
511#107—794no—
512#106—794no—
513C4⋊C8C22×D7914yes—
514C4⋊C8C22×D7914yes—
515C4⋊C8C22×D7914yes—
516#103—794no—
517#103—794no—
518#103—794no—
519#103—794no—
520#103—794no—
521#103—794no—
522#103—794no—
523#102—794no—
524#102—794no—
525#102—794no—
526#97C22×D7914yes—
527#97C22×D7914yes—
528C4×C8C22×D7914yes—
529C24—1581no—
530C2×Q8—42no—
531C2×Q8—3164no—
532C2×Q8—794no—
533C2×Q8—792no—
534C2×Q8—792no—
535C2×Q8—792no—
536C2×Q8—1582no—
537C2×Q8—1582no—
538C2×Q8—1582no—
539C2×Q8—1582no—
540C2×Q8—1582no—
541C2×Q8—1581no—
542C2×Q8—1581no—
543C2×Q8—1584no—
544C2×Q8—1581no—
545C2×Q8C2×D31614yes—
546C2×D4—792no—
547C2×D4—1582no—
548C2×D4—1582no—
549C2×D4—1581no—
550C22×C4—3164no—
551C22×C4—1581no—
552C22×C4—1581no—
553C22×C4—1581no—
554C22×C4—1581no—
555C22×C4—1581no—
556C22×C4—1581no—
557C22×C4—1584no—
558C22×C4—1581no—
559C22×C4C2×D31611yescharacteristic
560C22×C4C2×D31611yescharacteristic
561C22×C4C2×D31611yescharacteristic
562C22×C4C2×D31611yescharacteristic
563C22×C4C2×D31611yescharacteristic
564C22×C4C2×D31611yescharacteristic
565C22×C4C23×D7911yescharacteristic
566Q16—1588no—
567Q16—1588no—
568SD16—1588no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8C23×D7912yes—
574C2×C8C23×D7912yes—
575C2×C8C23×D7912yes—
576C2×C8C23×D7912yes—
577C4⋊C4—792no—
578C4⋊C4—792no—
579C4⋊C4—792no—
580C4⋊C4—792no—
581C4⋊C4—1584no—
582C4⋊C4—1584no—
583C4⋊C4—1584no—
584C4⋊C4—1584no—
585C4⋊C4—1584no—
586C4⋊C4—1584no—
587C4⋊C4—1584no—
588C4⋊C4—1584no—
589C4⋊C4—1584no—
590C4⋊C4—1581no—
591C4⋊C4—1581no—
592C4⋊C4—1581no—
593C4⋊C4—1581no—
594C4⋊C4—1584no—
595C4⋊C4—1584no—
596C4⋊C4—1584no—
597C4⋊C4C2×D31614yes—
598C4⋊C4C2×D31614yes—
599C4⋊C4C2×D31614yes—
600C22⋊C4—1584no—
601C22⋊C4—1584no—
602C22⋊C4—1584no—
603C22⋊C4—1584no—
604C22⋊C4—1584no—
605C42—1584no—
606C42—1584no—
607C42—1584no—
608C42—1584no—
609C42—1584no—
610C42C2×D31612yes—
611C42C2×D31612yes—
612C42C2×D31612yes—
613C42C23×D7912yes—
614C42C23×D7912yes—
615C42C23×D7912yes—
616C23—3162no—
617C23—3162no—
618C23—3162no—
619C23—1582no—
620C23C22×D31611yescharacteristic
621Q8—44no—
622Q8—3168no—
623Q8—3162no—
624Q8—3162no—
625Q8—794no—
626Q8—1582no—
627Q8—1582no—
628Q8—1582no—
629Q8—1582no—
630Q8—1582no—
631Q8—1584no—
632D4—3162no—
633D4—1582no—
634D4—1582no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—3168no—
642C2×C4—3162no—
643C2×C4—3162no—
644C2×C4—3162no—
645C2×C4—3162no—
646C2×C4—3162no—
647C2×C4—3162no—
648C2×C4—1582no—
649C2×C4—1582no—
650C2×C4—1582no—
651C2×C4—1582no—
652C2×C4—1582no—
653C2×C4—1582no—
654C2×C4—1584no—
655C2×C4—1582no—
656C2×C4C22×D31612yes—
657C2×C4C22×D31612yes—
658C2×C4C22×D31612yes—
659C2×C4C22×D31612yes—
660C2×C4C22×D31612yes—
661C2×C4C22×D31612yes—
662C2×C4C22×D31611yescharacteristic
663C2×C4#41×D7912yes—
664C2×C4#1457920912yes—
665C2×C4C24×D7911yescharacteristic
666C8—22no—
667C8—22no—
668C8—22no—
669C8—22no—
670C22—3162no—
671C22—3162no—
672C22—3162no—
673C22—6324no—
674C22#1909922512yes—
675C22#1909936312yes—
676C22#1909938012yes—
677C22C23×D31611yescharacteristic
678C4—22no—
679C4—22no—
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—3162no—
685C4—3162no—
686C4—3162no—
687C4—3162no—
688C4—3162no—
689C4—3162no—
690C4—1584no—
691C4#1909922512yes—
692C4C2×#41×D7911yescharacteristic
693C4C2×#1457920911yescharacteristic
694C2—6322no—
695C2#2377624414yesdirect product factor
696C2C2×#1909922511yescharacteristic
697C2C2×#1909936311yescharacteristic
698C2C2×#1909938011yescharacteristic
subgroupG/H
centerC23C22×D316
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC2×#446×C79C2
socleC23×C79C22×D4
prime radicalC22×D316C23
hypercenterC2×#446D79
hypocenterC79C2×#3377
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
1. C2×#19099291C2semidirect
3. #23776244C2direct (N × H)
4. C2×#19098932C2semidirect
7. C2×#19098871C2semidirect
8. C2×#19098859C2semidirect
12. C2×#19098774C2semidirect
13. C2×#19098671C2semidirect
15. C2×C4×Dic316C2semidirect
16. C2×#446×C79C2semidirect
21. #19099291C22semidirect
44. #19098932C22semidirect
47. #19098871C22semidirect
49. #19098859C22semidirect
52. #19098774C22semidirect
53. #19098671C22semidirect
55. C4×Dic316C22semidirect
70. #446×C79C22semidirect
345. C2×C79#3377semidirect
362. C2×#446D79semidirect
366. C79C2×#3377semidirect
404. #446C2×D79semidirect
695. C2#23776244direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#190992912
C2×#190992862
#237762442
C2×#190989322
C2×#190989232
C2×#190989182
C2×#190988712
C2×#190988592
C2×#190988642
C2×#190987862
C2×#190987742
C2×#190986712
C2×#190986652
C2×C4×Dic3162
C2×#446×C792
C2×#337779