Finite Group Databasebeta

← C2×#23774687 #35160494

Subgroups — C2×#23774687 #35160494

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×#19099194C211yesmaximal, characteristic, complemented
2C2×#19099186C211yesmaximal, characteristic
3#23774687C2116yesmaximal, direct product factor
4C2×#19098971C211yesmaximal, characteristic, complemented
5C2×#19098967C211yesmaximal, characteristic, complemented
6C2×#19098924C211yesmaximal, characteristic, complemented
7C2×#19098919C211yesmaximal, characteristic, complemented
8C2×#19098901C211yesmaximal, characteristic, complemented
9C2×#19098888C211yesmaximal, characteristic
10C2×#19098876C211yesmaximal, characteristic
11C2×#19098868C211yesmaximal, characteristic, complemented
12C2×#19098856C211yesmaximal, characteristic, complemented
13C2×#19098866C211yesmaximal, characteristic, complemented
14C2×#19098842C211yesmaximal, characteristic, complemented
15C2×#19098621C211yesmaximal, characteristic, complemented
16C2×#484×C79C211yesmaximal, characteristic, complemented
17#19099194—24no—
18#19099194C2218yescomplemented
19#19099186—24no—
20#19099186C2218yes—
21C2×#14579160—21no—
22C2×#14579160C2211yescharacteristic
23C2×#14579160C2211yescharacteristic
24C2×#14579160C2211yescharacteristic
25C2×#14579156—21no—
26C2×#14579152—21no—
27C2×#14579152C2211yescharacteristic
28C2×#14579152C2211yescharacteristic
29C2×#14579150C2211yescharacteristic
30C2×#14579147—21no—
31C2×#14579143—21no—
32C2×#14579141—21no—
33C2×#14579140—21no—
34C2×#14579140—21no—
35C2×#14579135C2211yescharacteristic
36C2×Q8×Dic79C2211yescharacteristic
37C2×#14579123C2211yescharacteristic
38C2×#14579120C2211yescharacteristic
39C2×#14579120C2211yescharacteristic
40#19098971C2218yescomplemented
41#19098967C2218yescomplemented
42#19098924C2218yescomplemented
43#19098919C2218yescomplemented
44#19098901C2218yescomplemented
45#19098888C2218yes—
46#19098876C2218yes—
47#19098868C2218yescomplemented
48#19098866C2218yescomplemented
49#19098856C2218yescomplemented
50#19098842C2218yescomplemented
51#19098621C2218yescomplemented
52C2×#14579095C2211yescharacteristic
53C2×#14579094C2211yescharacteristic
54C2×#14579094C2211yescharacteristic
55C2×#14579094C2211yescharacteristic
56C2×#14579093C2211yescharacteristic
57C2×#14579092C2211yescharacteristic
58C2×Dic79⋊C8C2211yescharacteristic
59C2×Dic79⋊C8C2211yescharacteristic
60C2×#14579085C2211yescharacteristic
61C2×#14579085C2211yescharacteristic
62C2×#14579083C2211yescharacteristic
63C2×#14579083C2211yescharacteristic
64C2×#14579081C2211yescharacteristic
65C2×#14579081C2211yescharacteristic
66C2×C22⋊(C79⋊C8)C2211yescharacteristic
67C2×#14579071C2211yescharacteristic
68C2×C8×Dic79C2211yescharacteristic
69C2×C22⋊Q8×C79C2211yescharacteristic
70C22×C4⋊C4×C79C2211yescharacteristic
71#484×C79C2218yescomplemented
72C2×#107×C79C2211yescharacteristic
73C2×#107×C79C2211yescharacteristic
74C2×#103×C79C2211yescharacteristic
75C2×#103×C79C2211yescharacteristic
76C2×C22⋊C8×C79C2211yescharacteristic
77C22×Dic158—21no—
78C22×Dic158—21no—
79C22×Dic158—21no—
80C22×D316C2311yescharacteristic
81C22×C22⋊D79—21no—
82C22×C4×D79—21no—
83C22×C79⋊C8C2311yescharacteristic
84C22×C79⋊C8C2311yescharacteristic
85#14579160—28no—
86#14579160—22no—
87#14579160—22no—
88#14579160—22no—
89#14579160C2314yes—
90#14579160C2314yes—
91#14579160C2314yes—
92#14579156—28no—
93#14579152—28no—
94#14579152—22no—
95#14579152—22no—
96#14579152C2314yes—
97#14579152C2314yes—
98#14579150—22no—
99#14579150C2314yes—
100#14579147—28no—
101#14579143—28no—
102#14579141—28no—
103#14579140—28no—
104#14579140—28no—
105#14579135—22no—
106#14579135C2314yes—
107Q8×Dic79—22no—
108Q8×Dic79C2314yes—
109#14579123—22no—
110#14579123C2314yes—
111#14579120—22no—
112#14579120D414yes—
113#14579120C2314yes—
114#14579120C2314yes—
115C2×C4⋊Dic79—21no—
116C2×C4⋊Dic79—21no—
117C2×C4⋊Dic79—21no—
118C2×C4⋊Dic79D411yescharacteristic
119C2×C4⋊Dic79D411yescharacteristic
120C2×C4⋊Dic79C2311yescharacteristic
121C2×C4⋊Dic79C2311yescharacteristic
122C2×C4⋊Dic79C2311yescharacteristic
123C2×Dic79⋊C4—21no—
124C2×Dic79⋊C4—21no—
125C2×Dic79⋊C4—21no—
126C2×Dic79⋊C4—21no—
127C2×Dic79⋊C4—21no—
128C2×C22⋊Dic79—21no—
129C2×C22⋊Dic79D411yescharacteristic
130C2×C22⋊Dic79D411yescharacteristic
131C2×(C2×D79)⋊C4—21no—
132C2×(C2×D79)⋊C4—21no—
133C2×(C2×D79)⋊C4—21no—
134C2×(C2×D79)⋊C4—21no—
135C2×C4×Dic79—21no—
136C2×C4×Dic79—21no—
137C2×C4×Dic79C2311yescharacteristic
138C2×C4×Dic79C2311yescharacteristic
139#14579095C2314yes—
140#14579094C2314yes—
141#14579094C2314yes—
142#14579094C2314yes—
143#14579093C2314yes—
144#14579092C2314yes—
145Dic79⋊C8C2314yes—
146Dic79⋊C8C2314yes—
147#14579085C2314yes—
148#14579085C2314yes—
149#14579083C2314yes—
150#14579083C2314yes—
151#14579081C2314yes—
152#14579081C2314yes—
153C22⋊(C79⋊C8)C2314yes—
154#14579071C2314yes—
155C8×Dic79C2314yes—
156C22×Q8×C79C2311yescharacteristic
157C23×C4×C79—21no—
158C23×C4×C79C2311yescharacteristic
159C22×C8×C79C2311yescharacteristic
160C22×C8×C79C2311yescharacteristic
161C22⋊Q8×C79—22no—
162C22⋊Q8×C79C2314yes—
163C2×C4⋊C4×C79—22no—
164C2×C4⋊C4×C79—21no—
165C2×C4⋊C4×C79—21no—
166C2×C4⋊C4×C79C2311yescharacteristic
167C2×C4⋊C4×C79C2311yescharacteristic
168C2×C4⋊C4×C79C2311yescharacteristic
169C2×C4⋊C4×C79C2314yes—
170C2×C22⋊C4×C79—21no—
171#107×C79C2314yes—
172#107×C79C2314yes—
173#103×C79C2314yes—
174#103×C79C2314yes—
175C22⋊C8×C79C2314yes—
176C23×D79—21no—
177C2×Dic158—24no—
178C2×Dic158—24no—
179C2×Dic158—24no—
180C2×Dic158—82no—
181C2×Dic158—82no—
182C2×Dic158—82no—
183C2×D316—21no—
184C2×D316—22no—
185C2×D316—22no—
186C2×D316C2412yes—
187C2×C22⋊D79—24no—
188C2×C22⋊D79—82no—
189C22×Dic79—21no—
190C22×Dic79—21no—
191C22×Dic79—21no—
192C22×Dic79C2×D411yescharacteristic
193C22×Dic79C2×D411yescharacteristic
194C22×Dic79C2×D411yescharacteristic
195C22×Dic79C2×D411yescharacteristic
196C2×C4×D79—24no—
197C2×C4×D79—82no—
198C2×C79⋊C8—22no—
199C2×C79⋊C8—22no—
200C2×C79⋊C8C2412yes—
201C2×C79⋊C8C2412yes—
202C4⋊Dic79—24no—
203C4⋊Dic79—24no—
204C4⋊Dic79—24no—
205C4⋊Dic79—21no—
206C4⋊Dic79—21no—
207C4⋊Dic79—21no—
208C4⋊Dic79C2×D414yes—
209C4⋊Dic79C2×D414yes—
210C4⋊Dic79C2412yes—
211C4⋊Dic79C2412yes—
212C4⋊Dic79C2412yes—
213Dic79⋊C4—24no—
214Dic79⋊C4—24no—
215Dic79⋊C4—24no—
216Dic79⋊C4—24no—
217Dic79⋊C4—24no—
218C22⋊Dic79—24no—
219C22⋊Dic79C2×D414yes—
220C22⋊Dic79C2×D414yes—
221(C2×D79)⋊C4—24no—
222(C2×D79)⋊C4—24no—
223(C2×D79)⋊C4—24no—
224(C2×D79)⋊C4—24no—
225C4×Dic79—24no—
226C4×Dic79—24no—
227C4×Dic79C2×D412yes—
228C4×Dic79C2×D412yes—
229C4×Dic79C2412yes—
230C4×Dic79C2412yes—
231C24×C79C2×D411yescharacteristic
232C2×Q8×C79—21no—
233C2×Q8×C79—22no—
234C2×Q8×C79—22no—
235C2×Q8×C79C2412yes—
236C22×C4×C79—22no—
237C22×C4×C79—22no—
238C22×C4×C79—21no—
239C22×C4×C79—21no—
240C22×C4×C79—21no—
241C22×C4×C79—21no—
242C22×C4×C79—24no—
243C22×C4×C79—82no—
244C22×C4×C79C2×D411yescharacteristic
245C22×C4×C79C2×D412yes—
246C22×C4×C79C2412yes—
247C22×C4×C79C2411yescharacteristic
248C2×C8×C79—22no—
249C2×C8×C79—22no—
250C2×C8×C79C2412yes—
251C2×C8×C79C2412yes—
252C4⋊C4×C79—24no—
253C4⋊C4×C79—21no—
254C4⋊C4×C79—21no—
255C4⋊C4×C79—24no—
256C4⋊C4×C79—21no—
257C4⋊C4×C79C2412yes—
258C4⋊C4×C79C2412yes—
259C4⋊C4×C79C2412yes—
260C22⋊C4×C79—24no—
261C23×C79—22no—
262C23×C79—22no—
263C23×C79—22no—
264C23×C79C22×D412yes—
265C23×C79C22×D411yescharacteristic
266C22×D79—22no—
267C22×D79—42no—
268C22×D79—42no—
269C22×D79—42no—
270Q8×C79—22no—
271Q8×C79—22no—
272Q8×C79—42no—
273C2×C4×C79—22no—
274C2×C4×C79—24no—
275C2×C4×C79—22no—
276C2×C4×C79—22no—
277C2×C4×C79—22no—
278C2×C4×C79—22no—
279C2×C4×C79—22no—
280C2×C4×C79—22no—
281C2×C4×C79—42no—
282C2×C4×C79—42no—
283C2×C4×C79—42no—
284C2×C4×C79—42no—
285C2×C4×C79—84no—
286C2×C4×C79C22×D412yes—
287C2×C4×C79C22×D411yescharacteristic
288C2×C4×C792−1+412yes—
289C2×C4×C792−1+412yes—
290C2×C4×C79C2511yescharacteristic
291C22⋊D79—84no—
292C2×Dic79—22no—
293C2×Dic79—22no—
294C2×Dic79—22no—
295C2×Dic79—22no—
296C2×Dic79—22no—
297C2×Dic79—22no—
298C2×Dic79—22no—
299C2×Dic79—42no—
300C2×Dic79—42no—
301C2×Dic79—42no—
302C2×Dic79C22×D412yes—
303C2×Dic79C22×D412yes—
304C2×Dic79C22×D412yes—
305C2×Dic79C22×D412yes—
306D316—22no—
307D316—22no—
308D316—42no—
309C4×D79—84no—
310Dic158—84no—
311Dic158—84no—
312Dic158—84no—
313C8×C79—22no—
314C8×C79—22no—
315C79⋊C8—22no—
316C79⋊C8—22no—
317C22×C79—22no—
318C22×C79—22no—
319C22×C79—22no—
320C22×C79—44no—
321C22×C79#53612yes—
322C22×C79#57612yes—
323C22×C79#57812yes—
324C22×C79C23×D411yescharacteristic
325C2×D79—42no—
326C2×D79—42no—
327C2×D79—42no—
328C2×D79—84no—
329C4×C79—22no—
330C4×C79—42no—
331C4×C79—42no—
332C4×C79—42no—
333C4×C79—42no—
334C4×C79#53612yes—
335C4×C79C2×2−1+411yescharacteristic
336C4×C79C2×2−1+411yescharacteristic
337Dic79—22no—
338Dic79—22no—
339Dic79—22no—
340Dic79—22no—
341Dic79—42no—
342Dic79—42no—
343Dic79—42no—
344C2×#3243—791nomaximal, Sylow
345C2×C79—42no—
346C2×C79#324314yescomplemented
347C2×C79C2×#53611yescharacteristic
348C2×C79C2×#57611yescharacteristic
349C2×C79C2×#57811yescharacteristic
350D79—82no—
351C2×#544—791no—
352C2×#542—791no—
353#3243—7916no—
354C2×#501—791no—
355C2×#500—791no—
356C2×#489—791no—
357C2×#488—791no—
358C2×#484D7911yescharacteristic, complemented
359C2×#485—791no—
360C2×#482—791no—
361C2×#480—791no—
362C2×#479—791no—
363C2×#477—791no—
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—791no—
375C2×C4⋊Q8—1581no—
376C2×#126—1581no—
377C2×#125—791no—
378C2×#125—791no—
379C2×#125—1581no—
380C2×#124—791no—
381C2×#124—1581no—
382C2×#123—1581no—
383C2×C22⋊Q8—1581no—
384C2×C22⋊Q8—1581no—
385C2×C22⋊Q8—1581no—
386C2×C22⋊Q8C2×D7911yescharacteristic
387C2×#121—791no—
388C2×C4×Q8—791no—
389C2×C4×D4—791no—
390C2×#117—791no—
391C2×#117—791no—
392C22×C4⋊C4C2×D7911yescharacteristic
393#501—798no—
394#500—798no—
395#489—798no—
396#488—798no—
397#485—798no—
398#484C2×D7918yescomplemented
399#482—798no—
400#480—798no—
401#479—798no—
402#478—798no—
403#477—798no—
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⋊C8—791no—
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⋊C8C2×D7911yescharacteristic
426C2×#97—791no—
427C2×C4×C8—791no—
428C22×Q8—1581no—
429C22×Q8—1581no—
430C22×Q8—1581no—
431C22×Q8C22×D7911yescharacteristic
432C22×D4—791no—
433C22×D4—1581no—
434C23×C4—21no—
435C23×C4—1581no—
436C23×C4C22×D7911yescharacteristic
437C22×C8—791no—
438C22×C8—791no—
439C22×C8C22×D7911yescharacteristic
440C22×C8C22×D7911yescharacteristic
441C4⋊Q8—794no—
442C4⋊Q8—794no—
443C4⋊Q8—794no—
444C4⋊Q8—1582no—
445C4⋊Q8—1582no—
446C4⋊Q8—1582no—
447C4⋊Q8—1588no—
448#126—1588no—
449#125—794no—
450#125—794no—
451#125—1582no—
452#125—1582no—
453#125—1588no—
454#124—794no—
455#124—1582no—
456#124—1588no—
457#123—1588no—
458C22⋊Q8—22no—
459C22⋊Q8—1588no—
460C22⋊Q8—1588no—
461C22⋊Q8—1588no—
462C22⋊Q8C22×D7914yes—
463#121—794no—
464#121—1582no—
465C4×Q8—794no—
466C4×Q8—1582no—
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—22no—
475C2×C4⋊C4—21no—
476C2×C4⋊C4—791no—
477C2×C4⋊C4—791no—
478C2×C4⋊C4—791no—
479C2×C4⋊C4—791no—
480C2×C4⋊C4—791no—
481C2×C4⋊C4—1581no—
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⋊C4C22×D7911yescharacteristic
490C2×C4⋊C4C22×D7911yescharacteristic
491C2×C4⋊C4C22×D7914yes—
492C2×C4⋊C4C22×D7911yescharacteristic
493C2×C22⋊C4—21no—
494C2×C22⋊C4—791no—
495C2×C22⋊C4—791no—
496C2×C22⋊C4—1581no—
497C2×C22⋊C4—1581no—
498C2×C22⋊C4—1581no—
499C2×C22⋊C4—1581no—
500C2×C22⋊C4—1581no—
501C2×C42—791no—
502C2×C42—791no—
503C2×C42—1581no—
504C2×C42—1581no—
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⋊C8—794no—
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⋊C8C22×D7914yes—
525#97—794no—
526C4×C8—794no—
527C24—1581no—
528C24D4×D7911yescharacteristic
529C2×Q8—21no—
530C2×Q8—22no—
531C2×Q8—22no—
532C2×Q8—6322no—
533C2×Q8—6322no—
534C2×Q8—6322no—
535C2×Q8—1584no—
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—22no—
546C22×C4—22no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—24no—
552C22×C4—82no—
553C22×C4—791no—
554C22×C4—791no—
555C22×C4—791no—
556C22×C4—791no—
557C22×C4—6322no—
558C22×C4—1584no—
559C22×C4—1581no—
560C22×C4—1581no—
561C22×C4—1581no—
562C22×C4D4×D7912yes—
563C22×C4D4×D7911yescharacteristic
564C22×C4C23×D7912yes—
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—21no—
576C4⋊C4—21no—
577C4⋊C4—24no—
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—24no—
599C22⋊C4—794no—
600C22⋊C4—794no—
601C22⋊C4—1584no—
602C22⋊C4—1584no—
603C22⋊C4—1584no—
604C22⋊C4—1584no—
605C22⋊C4—1584no—
606C42—792no—
607C42—792no—
608C42—792no—
609C42—792no—
610C42—1584no—
611C42—1584no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—3162no—
616C23—3162no—
617C23—3162no—
618C23—1582no—
619C23C2×D4×D7912yes—
620C23C2×D4×D7911yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—42no—
624Q8—6324no—
625Q8—6324no—
626Q8—6324no—
627D4—3162no—
628D4—6324no—
629D4—1582no—
630D4—1582no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—24no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—84no—
644C2×C4—3162no—
645C2×C4—3162no—
646C2×C4—3162no—
647C2×C4—792no—
648C2×C4—792no—
649C2×C4—792no—
650C2×C4—792no—
651C2×C4—6324no—
652C2×C4—1582no—
653C2×C4—1582no—
654C2×C4—1582no—
655C2×C4—1582no—
656C2×C4—1582no—
657C2×C4—1582no—
658C2×C4—1582no—
659C2×C4C2×D4×D7912yes—
660C2×C4C2×D4×D7911yescharacteristic
661C2×C4#1457920812yes—
662C2×C4#1457920812yes—
663C2×C4C24×D7911yescharacteristic
664C8—22no—
665C8—22no—
666C8—1582no—
667C8—1582no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—3162no—
673C22—3162no—
674C22—3162no—
675C22—6324no—
676C22#1909913512yes—
677C22#1909936712yes—
678C22#1909937612yes—
679C22C22×D4×D7911yescharacteristic
680C4—22no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—3162no—
686C4—3162no—
687C4—3162no—
688C4—1582no—
689C4—1582no—
690C4—1582no—
691C4—1582no—
692C4#1909913512yes—
693C4C2×#1457920811yescharacteristic
694C4C2×#1457920811yescharacteristic
695C2—42no—
696C2—6322no—
697C2#2377468714yesdirect product factor
698C2C2×#1909913511yescharacteristic
699C2C2×#1909936711yescharacteristic
700C2C2×#1909937611yescharacteristic
subgroupG/H
centerC23C2×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC2×#484×C79C2
socleC23×C79C22×D4
prime radicalC2×#14579135C22
hypercenterC2×#484D79
hypocenterC79C2×#3243
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#484

Complements

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

NH ≅ G/Ntype
1. C2×#19099194C2semidirect
3. #23774687C2direct (N × H)
4. C2×#19098971C2semidirect
5. C2×#19098967C2semidirect
6. C2×#19098924C2semidirect
7. C2×#19098919C2semidirect
8. C2×#19098901C2semidirect
11. C2×#19098868C2semidirect
12. C2×#19098856C2semidirect
13. C2×#19098866C2semidirect
14. C2×#19098842C2semidirect
15. C2×#19098621C2semidirect
16. C2×#484×C79C2semidirect
18. #19099194C22semidirect
40. #19098971C22semidirect
41. #19098967C22semidirect
42. #19098924C22semidirect
43. #19098919C22semidirect
44. #19098901C22semidirect
47. #19098868C22semidirect
48. #19098866C22semidirect
49. #19098856C22semidirect
50. #19098842C22semidirect
51. #19098621C22semidirect
71. #484×C79C22semidirect
346. C2×C79#3243semidirect
358. C2×#484D79semidirect
367. C79C2×#3243semidirect
398. #484C2×D79semidirect
697. C2#23774687direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#190991942
C2×#190991862
#237746872
C2×#190989712
C2×#190989672
C2×#190989242
C2×#190989192
C2×#190989012
C2×#190988882
C2×#190988762
C2×#190988682
C2×#190988562
C2×#190988662
C2×#190988422
C2×#190986212
C2×#484×C792
C2×#324379