Finite Group Databasebeta

← C2×#23774688 #35160495

Subgroups — C2×#23774688 #35160495

Order 20224.

1742 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099190C211yesmaximal, characteristic, complemented
2C2×#19099185C211yesmaximal, characteristic
3#23774688C2116yesmaximal, direct product factor
4C2×#19098971C211yesmaximal, characteristic, complemented
5C2×#19098967C211yesmaximal, characteristic, complemented
6C2×#19098924C211yesmaximal, characteristic, complemented
7C2×#19098919C211yesmaximal, characteristic, complemented
8C2×#19098897C211yesmaximal, characteristic, complemented
9C2×#19098902C211yesmaximal, characteristic, complemented
10C2×#19098890C211yesmaximal, characteristic
11C2×#19098878C211yesmaximal, characteristic
12C2×#19098870C211yesmaximal, characteristic, complemented
13C2×#19098864C211yesmaximal, characteristic, complemented
14C2×#19098840C211yesmaximal, characteristic, complemented
15C2×#19098623C211yesmaximal, characteristic, complemented
16C2×#477×C79C211yesmaximal, characteristic, complemented
17#19099190—24no—
18#19099190C2218yescomplemented
19#19099185—24no—
20#19099185C2218yes—
21C2×#14579160C2211yescharacteristic
22C2×#14579160C2211yescharacteristic
23C2×#14579159—21no—
24C2×#14579155—21no—
25C2×#14579153C2211yescharacteristic
26C2×#14579152C2211yescharacteristic
27C2×#14579151—21no—
28C2×#14579150C2211yescharacteristic
29C2×#14579149—21no—
30C2×#14579146—21no—
31C2×#14579139—21no—
32C2×#14579139—21no—
33C2×#14579137—21no—
34C2×#14579137C2211yescharacteristic
35C2×#14579136C2211yescharacteristic
36C2×C4×D316C2211yescharacteristic
37C2×#14579119C2211yescharacteristic
38C2×#14579118C2211yescharacteristic
39C2×C4⋊C4×D79C2211yescharacteristic
40#19098971C2218yescomplemented
41#19098967C2218yescomplemented
42#19098924C2218yescomplemented
43#19098919C2218yescomplemented
44#19098902C2218yescomplemented
45#19098897C2218yescomplemented
46#19098890C2218yes—
47#19098878C2218yes—
48#19098870C2218yescomplemented
49#19098864C2218yescomplemented
50#19098840C2218yescomplemented
51#19098623C2218yescomplemented
52C2×#14579095C2211yescharacteristic
53C2×#14579094C2211yescharacteristic
54C2×#14579094C2211yescharacteristic
55C2×#14579094C2211yescharacteristic
56C2×#14579093C2211yescharacteristic
57C2×#14579092C2211yescharacteristic
58C2×C4⋊(C79⋊C8)C2211yescharacteristic
59C2×#14579085C2211yescharacteristic
60C2×#14579085C2211yescharacteristic
61C2×#14579083C2211yescharacteristic
62C2×#14579083C2211yescharacteristic
63C2×#14579081C2211yescharacteristic
64C2×#14579081C2211yescharacteristic
65C2×(C2×D79)⋊C8C2211yescharacteristic
66C2×(C2×D79)⋊C8C2211yescharacteristic
67C2×#14579071C2211yescharacteristic
68C2×C8×Dic79C2211yescharacteristic
69C2×C4⋊Q8×C79C2211yescharacteristic
70C2×C4×Q8×C79C2211yescharacteristic
71#477×C79C2218yescomplemented
72C2×#107×C79C2211yescharacteristic
73C2×#107×C79C2211yescharacteristic
74C2×C4⋊C8×C79C2211yescharacteristic
75C2×#103×C79C2211yescharacteristic
76C2×#103×C79C2211yescharacteristic
77C22×Dic158—21no—
78C22×Dic158—21no—
79C22×D316—21no—
80C22×D316C2311yescharacteristic
81C22×C4×D79—21no—
82C22×C4×D79—21no—
83C22×C4×D79C2311yescharacteristic
84C22×C79⋊C8C2311yescharacteristic
85C22×C79⋊C8C2311yescharacteristic
86#14579160—22no—
87#14579160—22no—
88#14579160C2314yes—
89#14579160C2314yes—
90#14579159—28no—
91#14579155—28no—
92#14579153—22no—
93#14579153C2314yes—
94#14579152—22no—
95#14579152C2314yes—
96#14579151—28no—
97#14579150—22no—
98#14579150C2314yes—
99#14579149—28no—
100#14579146—28no—
101#14579139—28no—
102#14579139—28no—
103#14579137—22no—
104#14579137—28no—
105#14579137C2314yes—
106#14579136—22no—
107#14579136C2314yes—
108C4×D316—22no—
109C4×D316C2314yes—
110#14579119—22no—
111#14579119C2314yes—
112#14579118D414yes—
113#14579118C2314yes—
114C2×C4⋊Dic79—21no—
115C2×C4⋊Dic79C2311yescharacteristic
116C2×C4⋊Dic79C2311yescharacteristic
117C2×C4⋊Dic79C2311yescharacteristic
118C2×Dic79⋊C4—21no—
119C2×Dic79⋊C4—21no—
120C2×Dic79⋊C4—21no—
121C2×Dic79⋊C4—21no—
122C2×Dic79⋊C4—21no—
123C2×Dic79⋊C4—21no—
124C2×Dic79⋊C4—21no—
125C2×Dic79⋊C4D411yescharacteristic
126C2×Dic79⋊C4D411yescharacteristic
127C4⋊C4×D79—22no—
128C4⋊C4×D79C2314yes—
129C2×(C2×D79)⋊C4—21no—
130C2×(C2×D79)⋊C4—21no—
131C2×(C2×D79)⋊C4—21no—
132C2×(C2×D79)⋊C4—21no—
133C2×(C2×D79)⋊C4—21no—
134C2×(C2×D79)⋊C4—21no—
135C2×(C2×D79)⋊C4D411yescharacteristic
136C2×(C2×D79)⋊C4D411yescharacteristic
137C2×C4×Dic79—21no—
138C2×C4×Dic79C2311yescharacteristic
139#14579095C2314yes—
140#14579094C2314yes—
141#14579094C2314yes—
142#14579094C2314yes—
143#14579093C2314yes—
144#14579092C2314yes—
145C4⋊(C79⋊C8)C2314yes—
146#14579085C2314yes—
147#14579085C2314yes—
148#14579083C2314yes—
149#14579083C2314yes—
150#14579081C2314yes—
151#14579081C2314yes—
152(C2×D79)⋊C8C2314yes—
153(C2×D79)⋊C8C2314yes—
154#14579071C2314yes—
155C8×Dic79C2314yes—
156C22×Q8×C79—21no—
157C22×Q8×C79C2311yescharacteristic
158C22×C8×C79C2311yescharacteristic
159C22×C8×C79C2311yescharacteristic
160C4⋊Q8×C79—22no—
161C4⋊Q8×C79C2314yes—
162C4×Q8×C79—22no—
163C4×Q8×C79C2314yes—
164C2×C4⋊C4×C79—21no—
165C2×C4⋊C4×C79—21no—
166C2×C4⋊C4×C79C2311yescharacteristic
167C2×C4⋊C4×C79C2311yescharacteristic
168C2×C4⋊C4×C79C2311yescharacteristic
169C2×C42×C79—21no—
170C2×C42×C79C2311yescharacteristic
171#107×C79C2314yes—
172#107×C79C2314yes—
173C4⋊C8×C79C2314yes—
174#103×C79C2314yes—
175#103×C79C2314yes—
176C23×D79—21no—
177C23×D79C2×D411yescharacteristic
178C2×Dic158—24no—
179C2×Dic158—24no—
180C2×Dic158—82no—
181C2×Dic158—82no—
182C2×D316—24no—
183C2×D316—21no—
184C2×D316—22no—
185C2×D316—22no—
186C2×D316—82no—
187C2×D316C2412yes—
188C22×Dic79—21no—
189C22×Dic79—21no—
190C22×Dic79—21no—
191C22×Dic79C2×D411yescharacteristic
192C22×Dic79C2×D411yescharacteristic
193C22×Dic79C2×D411yescharacteristic
194C2×C4×D79—24no—
195C2×C4×D79—24no—
196C2×C4×D79—22no—
197C2×C4×D79—22no—
198C2×C4×D79—82no—
199C2×C4×D79—82no—
200C2×C4×D79C2×D412yes—
201C2×C4×D79C2412yes—
202C2×C79⋊C8—22no—
203C2×C79⋊C8—22no—
204C2×C79⋊C8C2412yes—
205C2×C79⋊C8C2412yes—
206C4⋊Dic79—24no—
207C4⋊Dic79—21no—
208C4⋊Dic79—21no—
209C4⋊Dic79—21no—
210C4⋊Dic79C2412yes—
211C4⋊Dic79C2412yes—
212C4⋊Dic79C2412yes—
213Dic79⋊C4—24no—
214Dic79⋊C4—24no—
215Dic79⋊C4—24no—
216Dic79⋊C4—24no—
217Dic79⋊C4—24no—
218Dic79⋊C4—24no—
219Dic79⋊C4—24no—
220Dic79⋊C4C2×D414yes—
221Dic79⋊C4C2×D414yes—
222(C2×D79)⋊C4—24no—
223(C2×D79)⋊C4—24no—
224(C2×D79)⋊C4—24no—
225(C2×D79)⋊C4—24no—
226(C2×D79)⋊C4—24no—
227(C2×D79)⋊C4—24no—
228(C2×D79)⋊C4C2×D414yes—
229(C2×D79)⋊C4C2×D414yes—
230C4×Dic79—24no—
231C4×Dic79C2×D412yes—
232C4×Dic79C2412yes—
233C2×Q8×C79—21no—
234C2×Q8×C79—24no—
235C2×Q8×C79—22no—
236C2×Q8×C79—22no—
237C2×Q8×C79—82no—
238C2×Q8×C79C2412yes—
239C22×C4×C79—21no—
240C22×C4×C79—21no—
241C22×C4×C79—21no—
242C22×C4×C79—21no—
243C22×C4×C79C2×D411yescharacteristic
244C22×C4×C79C2×D411yescharacteristic
245C22×C4×C79C2411yescharacteristic
246C2×C8×C79—22no—
247C2×C8×C79—22no—
248C2×C8×C79C2412yes—
249C2×C8×C79C2412yes—
250C4⋊C4×C79—24no—
251C4⋊C4×C79—24no—
252C4⋊C4×C79—21no—
253C4⋊C4×C79—21no—
254C4⋊C4×C79—21no—
255C4⋊C4×C79C2412yes—
256C4⋊C4×C79C2412yes—
257C4⋊C4×C79C2412yes—
258C42×C79—24no—
259C42×C79C2×D412yes—
260C42×C79C2412yes—
261C23×C79C22×D411yescharacteristic
262C22×D79—22no—
263C22×D79—22no—
264C22×D79—22no—
265C22×D79—22no—
266C22×D79—42no—
267C22×D79—42no—
268C22×D79—42no—
269C22×D79C22×D412yes—
270Q8×C79—22no—
271Q8×C79—22no—
272Q8×C79—42no—
273Q8×C79—84no—
274C2×C4×C79—22no—
275C2×C4×C79—22no—
276C2×C4×C79—22no—
277C2×C4×C79—22no—
278C2×C4×C79—22no—
279C2×C4×C79—22no—
280C2×C4×C79—42no—
281C2×C4×C79—42no—
282C2×C4×C79—42no—
283C2×C4×C79—42no—
284C2×C4×C79C22×D412yes—
285C2×C4×C79C22×D412yes—
286C2×C4×C79C22×D411yescharacteristic
287C2×C4×C792−1+412yes—
288C2×C4×C792−1+412yes—
289C2×C4×C79C2511yescharacteristic
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×Dic79C22×D412yes—
300C2×Dic79C22×D412yes—
301C2×Dic79C22×D412yes—
302D316—22no—
303D316—22no—
304D316—42no—
305D316—84no—
306C4×D79—24no—
307C4×D79—22no—
308C4×D79—22no—
309C4×D79—84no—
310C4×D79—84no—
311Dic158—84no—
312Dic158—84no—
313C8×C79—22no—
314C8×C79—22no—
315C79⋊C8—22no—
316C79⋊C8—22no—
317C22×C79#53612yes—
318C22×C79#57612yes—
319C22×C79#57812yes—
320C22×C79C23×D411yescharacteristic
321C2×D79—22no—
322C2×D79—22no—
323C2×D79—22no—
324C2×D79—44no—
325C2×D79—42no—
326C2×D79—42no—
327C2×D79—42no—
328C2×D79—84no—
329C4×C79—22no—
330C4×C79—22no—
331C4×C79—42no—
332C4×C79—42no—
333C4×C79—42no—
334C4×C79—42no—
335C4×C79#53612yes—
336C4×C79C2×2−1+411yescharacteristic
337C4×C79C2×2−1+411yescharacteristic
338Dic79—22no—
339Dic79—22no—
340Dic79—22no—
341Dic79—42no—
342Dic79—42no—
343Dic79—42no—
344C2×#3243—791nomaximal, Sylow
345C2×C79#324314yescomplemented
346C2×C79C2×#53611yescharacteristic
347C2×C79C2×#57611yescharacteristic
348C2×C79C2×#57811yescharacteristic
349D79—42no—
350D79—82no—
351C2×#544—791no—
352C2×#542—791no—
353#3243—7916no—
354C2×#501—791no—
355C2×#500—791no—
356C2×#489—791no—
357C2×#488—791no—
358C2×#484—791no—
359C2×#485—791no—
360C2×#482—791no—
361C2×#480—791no—
362C2×#479—791no—
363C2×#477D7911yescharacteristic, complemented
364C2×#478—791no—
365C2×#474—791no—
366C2×#433—791no—
367C79C2×#324311yescharacteristic, complemented, Sylow
368#544—798no—
369#544—1584no—
370#542—798no—
371#542—1584no—
372C2×C4⋊Q8—791no—
373C2×C4⋊Q8—791no—
374C2×C4⋊Q8—1581no—
375C2×C4⋊Q8C2×D7911yescharacteristic
376C2×#126—1581no—
377C2×#125—791no—
378C2×#125—791no—
379C2×#125—1581no—
380C2×#124—791no—
381C2×#124—1581no—
382C2×#123—1581no—
383C2×C22⋊Q8—791no—
384C2×C22⋊Q8—1581no—
385C2×C22⋊Q8—1581no—
386C2×C22⋊Q8—1581no—
387C2×#121—791no—
388C2×C4×Q8C2×D7911yescharacteristic
389C2×C4×D4—791no—
390C2×#117—791no—
391C2×#117—791no—
392C22×C4⋊C4—791no—
393#501—798no—
394#500—798no—
395#489—798no—
396#488—798no—
397#485—798no—
398#484—798no—
399#482—798no—
400#480—798no—
401#479—798no—
402#478—798no—
403#477C2×D7918yescomplemented
404#474—798no—
405#433—798no—
406C2×#107—791no—
407C2×#107—791no—
408C2×#107—791no—
409C2×#107—791no—
410C2×#107C2×D7911yescharacteristic
411C2×#107C2×D7911yescharacteristic
412C2×#106—791no—
413C2×#106—791no—
414C2×C4⋊C8—791no—
415C2×C4⋊C8C2×D7911yescharacteristic
416C2×#103—791no—
417C2×#103—791no—
418C2×#103C2×D7911yescharacteristic
419C2×#103C2×D7911yescharacteristic
420C2×#102—791no—
421C2×#102—791no—
422C2×#102—791no—
423C2×#102—791no—
424C2×C22⋊C8—791no—
425C2×C22⋊C8—791no—
426C2×#97—791no—
427C2×C4×C8—791no—
428C22×Q8—21no—
429C22×Q8—1581no—
430C22×Q8—1581no—
431C22×Q8C22×D7911yescharacteristic
432C22×D4—791no—
433C22×D4—1581no—
434C23×C4—791no—
435C23×C4—1581no—
436C23×C4—1581no—
437C22×C8—791no—
438C22×C8—791no—
439C22×C8C22×D7911yescharacteristic
440C22×C8C22×D7911yescharacteristic
441C4⋊Q8—22no—
442C4⋊Q8—794no—
443C4⋊Q8—794no—
444C4⋊Q8—1582no—
445C4⋊Q8—1582no—
446C4⋊Q8—1588no—
447C4⋊Q8C22×D7914yes—
448#126—1588no—
449#125—794no—
450#125—794no—
451#125—1582no—
452#125—1588no—
453#125—1582no—
454#124—794no—
455#124—1588no—
456#124—1582no—
457#123—1588no—
458C22⋊Q8—794no—
459C22⋊Q8—1588no—
460C22⋊Q8—1588no—
461C22⋊Q8—1588no—
462C22⋊Q8—1582no—
463#121—794no—
464#121—1582no—
465C4×Q8—22no—
466C4×Q8C22×D7914yes—
467C4×D4—794no—
468C4×D4—1582no—
469#117—794no—
470#117—794no—
471#117—794no—
472#117—1582no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—791no—
476C2×C4⋊C4—791no—
477C2×C4⋊C4—791no—
478C2×C4⋊C4—791no—
479C2×C4⋊C4—791no—
480C2×C4⋊C4—794no—
481C2×C4⋊C4—1582no—
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⋊C4C22×D7911yescharacteristic
491C2×C4⋊C4C22×D7911yescharacteristic
492C2×C4⋊C4C22×D7911yescharacteristic
493C2×C22⋊C4—791no—
494C2×C22⋊C4—791no—
495C2×C22⋊C4—1581no—
496C2×C22⋊C4—1581no—
497C2×C22⋊C4—1581no—
498C2×C22⋊C4—1581no—
499C2×C22⋊C4—1581no—
500C2×C22⋊C4—1581no—
501C2×C42—21no—
502C2×C42—791no—
503C2×C42—1581no—
504C2×C42C22×D7911yescharacteristic
505#107—794no—
506#107—794no—
507#107—794no—
508#107—794no—
509#107C22×D7914yes—
510#107C22×D7914yes—
511#106—794no—
512#106—794no—
513C4⋊C8—794no—
514C4⋊C8C22×D7914yes—
515#103—794no—
516#103—794no—
517#103C22×D7914yes—
518#103C22×D7914yes—
519#102—794no—
520#102—794no—
521#102—794no—
522#102—794no—
523C22⋊C8—794no—
524C22⋊C8—794no—
525#97—794no—
526C4×C8—794no—
527C24—791no—
528C24—1581no—
529C2×Q8—21no—
530C2×Q8—24no—
531C2×Q8—22no—
532C2×Q8—22no—
533C2×Q8—82no—
534C2×Q8—6322no—
535C2×Q8—6322no—
536C2×Q8—1584no—
537C2×Q8—1584no—
538C2×Q8C23×D7912yes—
539C2×D4—792no—
540C2×D4—6322no—
541C2×D4—1584no—
542C2×D4—1582no—
543C2×D4—1582no—
544C2×D4—1581no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—791no—
550C22×C4—791no—
551C22×C4—791no—
552C22×C4—792no—
553C22×C4—792no—
554C22×C4—6322no—
555C22×C4—6322no—
556C22×C4—1584no—
557C22×C4—1581no—
558C22×C4—1581no—
559C22×C4—1581no—
560C22×C4—1584no—
561C22×C4—1582no—
562C22×C4—1582no—
563C22×C4D4×D7911yescharacteristic
564C22×C4D4×D7911yescharacteristic
565C22×C4C23×D7911yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—792no—
569C2×C8—792no—
570C2×C8—1582no—
571C2×C8—1582no—
572C2×C8C23×D7912yes—
573C2×C8C23×D7912yes—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—794no—
580C4⋊C4—794no—
581C4⋊C4—792no—
582C4⋊C4—792no—
583C4⋊C4—792no—
584C4⋊C4—1584no—
585C4⋊C4—1584no—
586C4⋊C4—1584no—
587C4⋊C4—1584no—
588C4⋊C4—1584no—
589C4⋊C4—1584no—
590C4⋊C4—1584no—
591C4⋊C4—1584no—
592C4⋊C4—1581no—
593C4⋊C4—1581no—
594C4⋊C4—1581no—
595C4⋊C4C23×D7912yes—
596C4⋊C4C23×D7912yes—
597C4⋊C4C23×D7912yes—
598C22⋊C4—794no—
599C22⋊C4—794no—
600C22⋊C4—1584no—
601C22⋊C4—1584no—
602C22⋊C4—1584no—
603C22⋊C4—1584no—
604C22⋊C4—1584no—
605C22⋊C4—1584no—
606C42—24no—
607C42—792no—
608C42—792no—
609C42—1584no—
610C42D4×D7912yes—
611C42C23×D7912yes—
612C23—3162no—
613C23—3162no—
614C23—3162no—
615C23—792no—
616C23—1582no—
617C23—1582no—
618C23—1582no—
619C23—1582no—
620C23C2×D4×D7911yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—42no—
624Q8—84no—
625Q8—6324no—
626Q8—6324no—
627D4—3162no—
628D4—6324no—
629D4—1582no—
630D4—1582no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—3162no—
642C2×C4—3162no—
643C2×C4—3162no—
644C2×C4—792no—
645C2×C4—792no—
646C2×C4—792no—
647C2×C4—6324no—
648C2×C4—6324no—
649C2×C4—1582no—
650C2×C4—1582no—
651C2×C4—1582no—
652C2×C4—1582no—
653C2×C4—1582no—
654C2×C4—1582no—
655C2×C4—1584no—
656C2×C4—1582no—
657C2×C4—1582no—
658C2×C4C2×D4×D7912yes—
659C2×C4C2×D4×D7912yes—
660C2×C4C2×D4×D7911yescharacteristic
661C2×C4#1457920812yes—
662C2×C4#1457920912yes—
663C2×C4C24×D7911yescharacteristic
664C8—22no—
665C8—22no—
666C8—1582no—
667C8—1582no—
668C22—3164no—
669C22—3162no—
670C22—3162no—
671C22—3162no—
672C22—6324no—
673C22—1582no—
674C22—1582no—
675C22—1582no—
676C22#1909913612yes—
677C22#1909936712yes—
678C22#1909937612yes—
679C22C22×D4×D7911yescharacteristic
680C4—22no—
681C4—22no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—42no—
686C4—3162no—
687C4—3162no—
688C4—3162no—
689C4—1582no—
690C4—1582no—
691C4—1582no—
692C4#1909913612yes—
693C4C2×#1457920811yescharacteristic
694C4C2×#1457920911yescharacteristic
695C2—3162no—
696C2—6322no—
697C2#2377468814yesdirect product factor
698C2C2×#1909913611yescharacteristic
699C2C2×#1909936711yescharacteristic
700C2C2×#1909937611yescharacteristic
subgroupG/H
centerC23C2×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC2×#477×C79C2
socleC23×C79C22×D4
prime radicalC2×#14579136C22
hypercenterC2×#477D79
hypocenterC79C2×#3243
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#477

Complements

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

NH ≅ G/Ntype
1. C2×#19099190C2semidirect
3. #23774688C2direct (N × H)
4. C2×#19098971C2semidirect
5. C2×#19098967C2semidirect
6. C2×#19098924C2semidirect
7. C2×#19098919C2semidirect
8. C2×#19098897C2semidirect
9. C2×#19098902C2semidirect
12. C2×#19098870C2semidirect
13. C2×#19098864C2semidirect
14. C2×#19098840C2semidirect
15. C2×#19098623C2semidirect
16. C2×#477×C79C2semidirect
18. #19099190C22semidirect
40. #19098971C22semidirect
41. #19098967C22semidirect
42. #19098924C22semidirect
43. #19098919C22semidirect
44. #19098902C22semidirect
45. #19098897C22semidirect
48. #19098870C22semidirect
49. #19098864C22semidirect
50. #19098840C22semidirect
51. #19098623C22semidirect
71. #477×C79C22semidirect
345. C2×C79#3243semidirect
363. C2×#477D79semidirect
367. C79C2×#3243semidirect
403. #477C2×D79semidirect
697. C2#23774688direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#190991902
C2×#190991852
#237746882
C2×#190989712
C2×#190989672
C2×#190989242
C2×#190989192
C2×#190988972
C2×#190989022
C2×#190988902
C2×#190988782
C2×#190988702
C2×#190988642
C2×#190988402
C2×#190986232
C2×#477×C792
C2×#324379