Finite Group Databasebeta

← C2×#21458180 #30558441

Subgroups — C2×#21458180 #30558441

Order 15616.

1866 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840451C211yesmaximal, characteristic
2C2×#16840446C211yesmaximal, characteristic
3#21458180C2116yesmaximal, direct product factor
4C2×#16840162C211yesmaximal, characteristic, complemented
5C2×#16840104C211yesmaximal, characteristic, complemented
6C2×#16840094C211yesmaximal, characteristic, complemented
7C2×#16840091C211yesmaximal, characteristic, complemented
8C2×#16840071C211yesmaximal, characteristic, complemented
9C2×#16840068C211yesmaximal, characteristic, complemented
10C2×#16840002C211yesmaximal, characteristic, complemented
11C2×#16840001C211yesmaximal, characteristic, complemented
12C2×#16839854C211yesmaximal, characteristic, complemented
13C2×#16839825C211yesmaximal, characteristic
14C2×#16839798C211yesmaximal, characteristic, complemented
15C2×#107×D61C211yesmaximal, characteristic, complemented
16C2×C61×#485C211yesmaximal, characteristic, complemented
17C22×#11758202C2211yescharacteristic
18C23×#92418C2211yescharacteristic
19C22×C8×D61C2211yescharacteristic
20#16840451—24no—
21#16840451C2218yes—
22#16840446—24no—
23#16840446C2218yes—
24C2×#14519770—21no—
25C2×#14519770—21no—
26C2×#14519769—21no—
27C2×#14519768C2211yescharacteristic
28C2×#14519768C2211yescharacteristic
29C2×#14519767—21no—
30C2×#14519759—21no—
31C2×#14519759—21no—
32C2×#14519757C2211yescharacteristic
33C2×#14519756C2211yescharacteristic
34C2×#14519753C2211yescharacteristic
35C2×Q8×Dic61C2211yescharacteristic
36C2×#14519742C2211yescharacteristic
37C2×C4×C22⋊D61C2211yescharacteristic
38C2×#14519736C2211yescharacteristic
39C2×#14519735—21no—
40C2×#14519734—21no—
41C2×C4⋊C4×D61C2211yescharacteristic
42C2×C4⋊C4×D61C2211yescharacteristic
43#16840162C2218yescomplemented
44#16840104C2218yescomplemented
45#16840094C2218yescomplemented
46#16840091C2218yescomplemented
47#16840071C2218yescomplemented
48#16840068C2218yescomplemented
49#16840002C2218yescomplemented
50#16840001C2218yescomplemented
51#16839854C2218yescomplemented
52#16839825C2218yes—
53#16839798C2218yescomplemented
54C2×#14519711C2211yescharacteristic
55C2×#14519710C2211yescharacteristic
56C2×#14519710C2211yescharacteristic
57C2×#14519710C2211yescharacteristic
58#107×D61C2218yescomplemented
59C2×#14519709C2211yescharacteristic
60C2×#14519708C2211yescharacteristic
61C2×#14519708C2211yescharacteristic
62C2×#14519706C2211yescharacteristic
63C2×#14519702C2211yescharacteristic
64C2×#14519702C2211yescharacteristic
65C2×#14519701C2211yescharacteristic
66C2×#14519700C2211yescharacteristic
67C2×#14519689C2211yescharacteristic
68C2×C8×Dic61C2211yescharacteristic
69C2×C22⋊Q8×C61C2211yescharacteristic
70C2×#117×C61C2211yescharacteristic
71C61×#485C2218yescomplemented
72C2×#107×C61C2211yescharacteristic
73C2×#106×C61C2211yescharacteristic
74C2×#103×C61C2211yescharacteristic
75C2×#103×C61C2211yescharacteristic
76C2×C22⋊C8×C61C2211yescharacteristic
77C22×Dic122C2311yescharacteristic
78C22×C22⋊D61D411yescharacteristic
79C22×C4×D61—21no—
80C22×C4×D61—21no—
81C22×C4×D61C2311yescharacteristic
82C2×#11758202—24no—
83C2×#11758202C2314yes—
84C22×#92418—24no—
85C22×#92418C2311yescharacteristic
86C22×#92418C2314yes—
87C22×#92418C2311yescharacteristic
88C2×C8×D61—24no—
89C2×C8×D61C2314yes—
90#14519770—28no—
91#14519770—28no—
92#14519769—28no—
93#14519768—22no—
94#14519768—22no—
95#14519768C2314yes—
96#14519768C2314yes—
97#14519767—28no—
98#14519759—28no—
99#14519759—28no—
100#14519757—22no—
101#14519757C2314yes—
102#14519756—22no—
103#14519756C2314yes—
104#14519753—22no—
105#14519753C2314yes—
106Q8×Dic61—22no—
107Q8×Dic61C2314yes—
108#14519742—22no—
109#14519742C2314yes—
110C4×C22⋊D61D414yes—
111C4×C22⋊D61C2314yes—
112#14519736—22no—
113#14519736C2314yes—
114#14519735—28no—
115#14519734—28no—
116C2×C4⋊Dic61—21no—
117C2×C4⋊Dic61—21no—
118C2×C4⋊Dic61—21no—
119C2×C4⋊Dic61—21no—
120C2×C4⋊Dic61C2311yescharacteristic
121C2×C4⋊Dic61C2311yescharacteristic
122C2×C4⋊Dic61C2311yescharacteristic
123C2×#11758196—21no—
124C2×#11758196—21no—
125C2×#11758196—21no—
126C2×#11758196—21no—
127C2×#11758196—21no—
128C2×#11758196—21no—
129C2×#11758196—21no—
130C2×#11758196D411yescharacteristic
131C4⋊C4×D61—22no—
132C4⋊C4×D61—22no—
133C4⋊C4×D61C2314yes—
134C4⋊C4×D61C2314yes—
135C2×C22⋊Dic61—21no—
136C2×C22⋊Dic61—21no—
137C2×C22⋊Dic61D411yescharacteristic
138C2×#11758198—21no—
139C2×#11758198—21no—
140C2×#11758198D411yescharacteristic
141C2×C4×Dic61—21no—
142C2×C4×Dic61—21no—
143C2×C4×Dic61—21no—
144C2×C4×Dic61C2311yescharacteristic
145#14519711C2314yes—
146#14519710C2314yes—
147#14519710C2314yes—
148#14519710C2314yes—
149#14519709C2314yes—
150#14519708C2314yes—
151#14519708C2314yes—
152#14519706C2314yes—
153#14519702C2314yes—
154#14519702C2314yes—
155#14519701C2314yes—
156#14519700C2314yes—
157#14519689C2314yes—
158C8×Dic61C2314yes—
159C22×Q8×C61C2311yescharacteristic
160C23×C4×C61C2311yescharacteristic
161C22×C8×C61C2311yescharacteristic
162C22×C8×C61C2311yescharacteristic
163C22⋊Q8×C61—22no—
164C22⋊Q8×C61C2314yes—
165#117×C61—22no—
166#117×C61C2314yes—
167C2×C4⋊C4×C61—21no—
168C2×C4⋊C4×C61C2311yescharacteristic
169C2×C4⋊C4×C61C2311yescharacteristic
170C2×C4⋊C4×C61C2311yescharacteristic
171C2×C22⋊C4×C61—21no—
172C2×C22⋊C4×C61—21no—
173C2×C42×C61—21no—
174#107×C61C2314yes—
175#106×C61C2314yes—
176#103×C61C2314yes—
177#103×C61C2314yes—
178C22⋊C8×C61C2314yes—
179C24×C61C2×D411yescharacteristic
180C23×D61C2×D411yescharacteristic
181C2×Q8×C61—21no—
182C2×Q8×C61—22no—
183C2×Q8×C61—22no—
184C2×Q8×C61C2412yes—
185C22×C4×C61—22no—
186C22×C4×C61—22no—
187C22×C4×C61—21no—
188C22×C4×C61—21no—
189C22×C4×C61—21no—
190C22×C4×C61—21no—
191C22×C4×C61C2×D411yescharacteristic
192C22×C4×C61C2×D412yes—
193C22×C4×C61C2412yes—
194C22×C4×C61C2411yescharacteristic
195C2×C22⋊D61—24no—
196C2×C22⋊D61C2×D414yes—
197C22×Dic61—21no—
198C22×Dic61—21no—
199C22×Dic61—21no—
200C22×Dic61—21no—
201C22×Dic61C2×D411yescharacteristic
202C22×Dic61C2×D411yescharacteristic
203C22×Dic61C2×D411yescharacteristic
204C2×C4×D61—22no—
205C2×C4×D61—22no—
206C2×C4×D61—24no—
207C2×C4×D61—24no—
208C2×C4×D61—44no—
209C2×C4×D61—44no—
210C2×C4×D61C2×D412yes—
211C2×C4×D61C2412yes—
212C2×Dic122—22no—
213C2×Dic122—22no—
214C2×Dic122—21no—
215C2×Dic122C2412yes—
216C2×C8×C61—22no—
217C2×C8×C61—22no—
218C2×C8×C61C2412yes—
219C2×C8×C61C2412yes—
220C4⋊C4×C61—24no—
221C4⋊C4×C61—21no—
222C4⋊C4×C61—21no—
223C4⋊C4×C61—21no—
224C4⋊C4×C61C2412yes—
225C4⋊C4×C61C2412yes—
226C4⋊C4×C61C2412yes—
227C22⋊C4×C61—24no—
228C22⋊C4×C61—24no—
229C42×C61—24no—
230C22⋊Dic61—24no—
231C22⋊Dic61—24no—
232C22⋊Dic61C2×D414yes—
233#11758202—28no—
234#11758198—24no—
235#11758198—24no—
236#11758198C2×D414yes—
237C4⋊Dic61—21no—
238C4⋊Dic61—21no—
239C4⋊Dic61—21no—
240C4⋊Dic61—24no—
241C4⋊Dic61—24no—
242C4⋊Dic61—24no—
243C4⋊Dic61—24no—
244C4⋊Dic61C2412yes—
245C4⋊Dic61C2412yes—
246C4⋊Dic61C2412yes—
247#11758196—24no—
248#11758196—24no—
249#11758196—24no—
250#11758196—24no—
251#11758196—24no—
252#11758196—24no—
253#11758196—24no—
254#11758196C2×D414yes—
255C4×Dic61—24no—
256C4×Dic61—24no—
257C4×Dic61—24no—
258C4×Dic61C2×D412yes—
259C4×Dic61C2412yes—
260C2×#92418—22no—
261C2×#92418—28no—
262C2×#92418#4114yes—
263C2×#92418C2412yes—
264C2×#92418C2412yes—
265C8×D61—28no—
266C23×C61—22no—
267C23×C61—22no—
268C23×C61—22no—
269C23×C61C22×D412yes—
270C23×C61C22×D411yescharacteristic
271C22×D61—22no—
272C22×D61—22no—
273C22×D61#13514yes—
274C22×D61C22×D412yes—
275Q8×C61—22no—
276Q8×C61—22no—
277Q8×C61—42no—
278C2×C4×C61—22no—
279C2×C4×C61—24no—
280C2×C4×C61—22no—
281C2×C4×C61—22no—
282C2×C4×C61—22no—
283C2×C4×C61—22no—
284C2×C4×C61—22no—
285C2×C4×C61—22no—
286C2×C4×C61—42no—
287C2×C4×C61—42no—
288C2×C4×C61—42no—
289C2×C4×C61—42no—
290C2×C4×C61C22×D412yes—
291C2×C4×C61C22×D411yescharacteristic
292C2×C4×C61C2×#4112yes—
293C2×C4×C612−1+412yes—
294C2×C4×C61C2511yescharacteristic
295C22⋊D61—28no—
296C2×Dic61—22no—
297C2×Dic61—22no—
298C2×Dic61—22no—
299C2×Dic61—22no—
300C2×Dic61—22no—
301C2×Dic61—22no—
302C2×Dic61—22no—
303C2×Dic61—42no—
304C2×Dic61—42no—
305C2×Dic61—42no—
306C2×Dic61—42no—
307C2×Dic61C22×D412yes—
308C2×Dic61C22×D412yes—
309C2×Dic61C22×D412yes—
310C4×D61—24no—
311C4×D61—22no—
312C4×D61—22no—
313C4×D61—48no—
314C4×D61—48no—
315Dic122—22no—
316Dic122—22no—
317Dic122—42no—
318C8×C61—22no—
319C8×C61—22no—
320#92418—22no—
321#92418C2×#4114yes—
322C2×#3336—611nomaximal, Sylow
323C22×C61—22no—
324C22×C61—22no—
325C22×C61—22no—
326C22×C61—44no—
327C22×C61#54712yes—
328C22×C61C2×#13512yes—
329C22×C61#57812yes—
330C22×C61C23×D411yescharacteristic
331C2×D61—28no—
332C2×D61—22no—
333C2×D61—22no—
334C2×D61C2×#13514yes—
335C4×C61—22no—
336C4×C61—42no—
337C4×C61—42no—
338C4×C61—42no—
339C4×C61—42no—
340C4×C61#54712yes—
341C4×C61C22×#4111yescharacteristic
342C4×C61C2×2−1+411yescharacteristic
343Dic61—22no—
344Dic61—22no—
345Dic61—22no—
346Dic61—42no—
347Dic61—42no—
348Dic61—42no—
349Dic61—42no—
350C2×#552—611no—
351C2×#552—611no—
352#3336—6116no—
353C2×#499—611no—
354C2×#485—611no—
355C2×#485D6111yescharacteristic, complemented
356C2×#483—611no—
357C2×#483—611no—
358C2×#479—611no—
359C2×#479—611no—
360C2×#467—611no—
361C2×#467—611no—
362C2×C4×Q16—611no—
363C2×C8×D4—611no—
364C2×#427—611no—
365C22×#107—611no—
366C2×C61—42no—
367C2×C61#333614yescomplemented
368C2×C61C2×#54711yescharacteristic
369C2×C61C22×#13511yescharacteristic
370C2×C61C2×#57811yescharacteristic
371D61—24no—
372C22×Q16—611no—
373C23×C8—611no—
374C23×C8—611no—
375#552—618no—
376#552—618no—
377#552—1224no—
378#552—1224no—
379C2×#126—1221no—
380C2×#126—1221no—
381C2×#125—611no—
382C2×#125—611no—
383C2×#125—1221no—
384C2×#125—1221no—
385C2×#123—1221no—
386C2×#123—1221no—
387C2×C22⋊Q8—611no—
388C2×C22⋊Q8—611no—
389C2×C22⋊Q8—611no—
390C2×C22⋊Q8C2×D6111yescharacteristic
391C2×C4×Q8—611no—
392C2×C4×Q8—611no—
393C2×C4×D4—611no—
394C2×#117—611no—
395C2×#117—1221no—
396C2×#117—1221no—
397C2×#117C2×D6111yescharacteristic
398C22×C4⋊C4—611no—
399C22×C4⋊C4—611no—
400#499—618no—
401#485—618no—
402#485C2×D6118yescomplemented
403#483—618no—
404#483—618no—
405#479—618no—
406#479—618no—
407#467—618no—
408#467—618no—
409C4×Q16—618no—
410C8×D4—618no—
411#427—618no—
412C2×#107—611no—
413C2×#107—611no—
414C2×#107—611no—
415C2×#107—611no—
416C2×#107—618no—
417C2×#107C2×D6111yescharacteristic
418C2×#106—611no—
419C2×#106—611no—
420C2×#106—611no—
421C2×#106C2×D6111yescharacteristic
422C2×C4⋊C8—611no—
423C2×#103—611no—
424C2×#103—611no—
425C2×#103—611no—
426C2×#103—611no—
427C2×#103C2×D6111yescharacteristic
428C2×#103C2×D6111yescharacteristic
429C2×C22⋊C8—611no—
430C2×C22⋊C8C2×D6111yescharacteristic
431C2×C4×C8—611no—
432C61C2×#333611yescharacteristic, complemented, Sylow
433C22×Q8—611no—
434C22×Q8C22×D6111yescharacteristic
435C22×D4—611no—
436C23×C4—611no—
437C23×C4—1221no—
438C23×C4—1221no—
439C23×C4C22×D6111yescharacteristic
440C2×Q16—614no—
441C2×Q16—1224no—
442C22×C8—611no—
443C22×C8—611no—
444C22×C8—614no—
445C22×C8—614no—
446C22×C8—1224no—
447C22×C8—1224no—
448C22×C8C22×D6111yescharacteristic
449C22×C8C22×D6111yescharacteristic
450#126—1228no—
451#126—1228no—
452#125—614no—
453#125—614no—
454#125—1228no—
455#125—1222no—
456#125—1222no—
457#125—1228no—
458#123—1228no—
459#123—1228no—
460C22⋊Q8—22no—
461C22⋊Q8—614no—
462C22⋊Q8—614no—
463C22⋊Q8—614no—
464C22⋊Q8—1222no—
465C22⋊Q8—1222no—
466C22⋊Q8—1222no—
467C22⋊Q8C22×D6114yes—
468C4×Q8—614no—
469C4×Q8—614no—
470C4×Q8—1222no—
471C4×Q8—1222no—
472C4×D4—614no—
473C4×D4—614no—
474#117—22no—
475#117—614no—
476#117—1228no—
477#117—1228no—
478#117—1222no—
479#117C22×D6114yes—
480C2×C4⋊C4—21no—
481C2×C4⋊C4—611no—
482C2×C4⋊C4—611no—
483C2×C4⋊C4—611no—
484C2×C4⋊C4—611no—
485C2×C4⋊C4—614no—
486C2×C4⋊C4—614no—
487C2×C4⋊C4—1222no—
488C2×C4⋊C4—1222no—
489C2×C4⋊C4—1221no—
490C2×C4⋊C4—1221no—
491C2×C4⋊C4—1221no—
492C2×C4⋊C4—1221no—
493C2×C4⋊C4—1221no—
494C2×C4⋊C4—1221no—
495C2×C4⋊C4—1221no—
496C2×C4⋊C4—1221no—
497C2×C4⋊C4—1221no—
498C2×C4⋊C4—1221no—
499C2×C4⋊C4—1221no—
500C2×C4⋊C4C22×D6111yescharacteristic
501C2×C4⋊C4C22×D6111yescharacteristic
502C2×C4⋊C4C22×D6111yescharacteristic
503C2×C22⋊C4—21no—
504C2×C22⋊C4—21no—
505C2×C22⋊C4—611no—
506C2×C22⋊C4—611no—
507C2×C22⋊C4—1221no—
508C2×C22⋊C4—1221no—
509C2×C22⋊C4—1221no—
510C2×C22⋊C4—1221no—
511C2×C42—21no—
512C2×C42—611no—
513C2×C42—1221no—
514C2×C42—1221no—
515C2×C42—1221no—
516#107—614no—
517#107—614no—
518#107—614no—
519#107—614no—
520#107C22×D6114yes—
521#106—614no—
522#106—614no—
523#106—614no—
524#106C22×D6114yes—
525C4⋊C8—614no—
526#103—614no—
527#103—614no—
528#103—614no—
529#103—614no—
530#103C22×D6114yes—
531#103C22×D6114yes—
532C22⋊C8—614no—
533C22⋊C8C22×D6114yes—
534C4×C8—614no—
535C24—611no—
536C24D4×D6111yescharacteristic
537C2×Q8—21no—
538C2×Q8—22no—
539C2×Q8—22no—
540C2×Q8—612no—
541C2×Q8—1221no—
542C2×Q8—1222no—
543C2×Q8—1222no—
544C2×Q8C23×D6112yes—
545C2×D4—614no—
546C2×D4—1224no—
547C22×C4—22no—
548C22×C4—22no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—611no—
554C22×C4—611no—
555C22×C4—611no—
556C22×C4—612no—
557C22×C4—612no—
558C22×C4—1224no—
559C22×C4—1224no—
560C22×C4—1222no—
561C22×C4—1222no—
562C22×C4—1221no—
563C22×C4—1221no—
564C22×C4—1221no—
565C22×C4—1221no—
566C22×C4—2444no—
567C22×C4—2444no—
568C22×C4D4×D6112yes—
569C22×C4D4×D6111yescharacteristic
570C22×C4C23×D6112yes—
571C22×C4C23×D6111yescharacteristic
572Q16—1228no—
573C2×C8—22no—
574C2×C8—22no—
575C2×C8—614no—
576C2×C8—612no—
577C2×C8—612no—
578C2×C8—1228no—
579C2×C8—1228no—
580C2×C8—1222no—
581C2×C8C23×D6112yes—
582C2×C8C23×D6112yes—
583C4⋊C4—24no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—614no—
588C4⋊C4—612no—
589C4⋊C4—612no—
590C4⋊C4—612no—
591C4⋊C4—1224no—
592C4⋊C4—1224no—
593C4⋊C4—1224no—
594C4⋊C4—1224no—
595C4⋊C4—1224no—
596C4⋊C4—1224no—
597C4⋊C4—1224no—
598C4⋊C4—1224no—
599C4⋊C4—1224no—
600C4⋊C4—1224no—
601C4⋊C4—1221no—
602C4⋊C4—1221no—
603C4⋊C4—1221no—
604C4⋊C4—1224no—
605C4⋊C4C23×D6112yes—
606C4⋊C4C23×D6112yes—
607C4⋊C4C23×D6112yes—
608C22⋊C4—24no—
609C22⋊C4—24no—
610C22⋊C4—614no—
611C22⋊C4—614no—
612C22⋊C4—1224no—
613C22⋊C4—1224no—
614C22⋊C4—1224no—
615C22⋊C4—1224no—
616C42—24no—
617C42—612no—
618C42—612no—
619C42—1224no—
620C42—1224no—
621C42—1224no—
622C23—22no—
623C23—22no—
624C23—22no—
625C23—614no—
626C23—612no—
627C23—1222no—
628C23—1222no—
629C23C2×D4×D6112yes—
630C23C2×D4×D6111yescharacteristic
631Q8—22no—
632Q8—22no—
633Q8—42no—
634Q8—1222no—
635Q8—1222no—
636Q8—2442no—
637D4—1228no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—612no—
651C2×C4—612no—
652C2×C4—612no—
653C2×C4—1222no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—1222no—
658C2×C4—1224no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—1222no—
663C2×C4—2448no—
664C2×C4—2448no—
665C2×C4—2442no—
666C2×C4—2442no—
667C2×C4—2442no—
668C2×C4—2442no—
669C2×C4C2×D4×D6112yes—
670C2×C4C2×D4×D6111yescharacteristic
671C2×C4#41×D6112yes—
672C2×C4#1451982412yes—
673C2×C4C24×D6111yescharacteristic
674C8—22no—
675C8—22no—
676C8—614no—
677C8—1222no—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—44no—
682C22—614no—
683C22—1228no—
684C22—1222no—
685C22—1222no—
686C22#1684041012yes—
687C22#135×D6112yes—
688C22#1684057812yes—
689C22C22×D4×D6111yescharacteristic
690C4—22no—
691C4—42no—
692C4—42no—
693C4—42no—
694C4—42no—
695C4—1222no—
696C4—1222no—
697C4—1222no—
698C4—2442no—
699C4—2442no—
700C4—2442no—
701C4—2442no—
702C4#1684041012yes—
703C4C2×#41×D6111yescharacteristic
704C4C2×#1451982411yescharacteristic
705C2—42no—
706C2—1224no—
707C2#2145818014yesdirect product factor
708C2C2×#1684041011yescharacteristic
709C2C2×#135×D6111yescharacteristic
710C2C2×#1684057811yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#485C2
socleC23×C61C22×D4
prime radicalC22×C22⋊D61D4
hypercenterC2×#485D61
hypocenterC61C2×#3336
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#485

Complements

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

NH ≅ G/Ntype
3. #21458180C2direct (N × H)
4. C2×#16840162C2semidirect
5. C2×#16840104C2semidirect
6. C2×#16840094C2semidirect
7. C2×#16840091C2semidirect
8. C2×#16840071C2semidirect
9. C2×#16840068C2semidirect
10. C2×#16840002C2semidirect
11. C2×#16840001C2semidirect
12. C2×#16839854C2semidirect
14. C2×#16839798C2semidirect
15. C2×#107×D61C2semidirect
16. C2×C61×#485C2semidirect
43. #16840162C22semidirect
44. #16840104C22semidirect
45. #16840094C22semidirect
46. #16840091C22semidirect
47. #16840071C22semidirect
48. #16840068C22semidirect
49. #16840002C22semidirect
50. #16840001C22semidirect
51. #16839854C22semidirect
53. #16839798C22semidirect
58. #107×D61C22semidirect
71. C61×#485C22semidirect
355. C2×#485D61semidirect
367. C2×C61#3336semidirect
402. #485C2×D61semidirect
432. C61C2×#3336semidirect
707. C2#21458180direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168404512
C2×#168404462
#214581802
C2×#168401622
C2×#168401042
C2×#168400942
C2×#168400912
C2×#168400712
C2×#168400682
C2×#168400022
C2×#168400012
C2×#168398542
C2×#168398252
C2×#168397982
C2×#107×D612
C2×C61×#4852
C2×#333661