Finite Group Databasebeta

← C2×#14532622 #17202362

Subgroups — C2×#14532622 #17202362

Order 4352.

2702 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#10587574C211yesmaximal, characteristic
2C22×C4×Dic34C211yesmaximal, characteristic
3#14532622C2116yesmaximal, direct product factor
4C2×#11762742C211yesmaximal, characteristic
5C2×#11762741C211yesmaximal, characteristic
6C2×#11762730C211yesmaximal, characteristic
7C2×#11762730C211yesmaximal, characteristic
8C2×#11762715C211yesmaximal, characteristic
9C2×#11762713C211yesmaximal, characteristic
10C2×#11762713C211yesmaximal, characteristic
11C2×#11762713C211yesmaximal, characteristic
12C2×#11762706C211yesmaximal, characteristic
13C2×#11762706C211yesmaximal, characteristic
14C2×#11762695C211yesmaximal, characteristic
15C2×C4⋊C4×Dic17C211yesmaximal, characteristic
16C2×C17×#387C211yesmaximal, characteristic
17C23×Dic34C2211yescharacteristic
18C23×Dic34C2211yescharacteristic
19C23×Dic34C2211yescharacteristic
20C2×#10587574—28no—
21C2×#10587574C2218yes—
22C2×C4×Dic34—28no—
23C2×C4×Dic34C2218yes—
24C22×C4⋊Dic17C2211yescharacteristic
25C22×C4⋊Dic17C2211yescharacteristic
26C22×C4⋊Dic17C2211yescharacteristic
27C22×C4⋊Dic17C2211yescharacteristic
28C22×C4⋊Dic17C2211yescharacteristic
29C22×#63225C2211yescharacteristic
30C22×#63225C2211yescharacteristic
31C22×#63225C2211yescharacteristic
32C22×#63225C2211yescharacteristic
33C22×#63225C2211yescharacteristic
34C22×#63225C2211yescharacteristic
35C22×C4×Dic17C2211yescharacteristic
36C22×C4×Dic17C2211yescharacteristic
37C22×C4×Dic17C2211yescharacteristic
38C22×C4×Dic17C2211yescharacteristic
39#11762742C2218yes—
40#11762741C2218yes—
41#11762730C2218yes—
42#11762730C2218yes—
43#11762715C2218yes—
44#11762713C2218yes—
45#11762713C2218yes—
46#11762713C2218yes—
47#11762706C2218yes—
48#11762706C2218yes—
49#11762695C2218yes—
50C4⋊C4×Dic17C2218yes—
51C2×#10587502C2211yescharacteristic
52C2×#10587502C2211yescharacteristic
53C2×#10587502C2211yescharacteristic
54C2×#10587502C2211yescharacteristic
55C2×#10587502C2211yescharacteristic
56C2×#10587502C2211yescharacteristic
57C2×#10587502C2211yescharacteristic
58C2×#10587502C2211yescharacteristic
59C2×#10587502C2211yescharacteristic
60C2×#10587502C2211yescharacteristic
61C22×C4⋊C4×C17C2211yescharacteristic
62C22×C4⋊C4×C17C2211yescharacteristic
63C22×C42×C17C2211yescharacteristic
64C17×#387C2218yes—
65C2×C17×#95C2211yescharacteristic
66C2×C17×#95C2211yescharacteristic
67C2×C17×#95C2211yescharacteristic
68C2×C17×#95C2211yescharacteristic
69C23×C4×C17C2311yescharacteristic
70C23×C4×C17C2311yescharacteristic
71C23×C4×C17C2311yescharacteristic
72C23×C4×C17C2311yescharacteristic
73C23×C4×C17C2311yescharacteristic
74C23×C4×C17C2311yescharacteristic
75C23×C4×C17C2311yescharacteristic
76C23×Dic17C2311yescharacteristic
77C23×Dic17C2311yescharacteristic
78C23×Dic17C2311yescharacteristic
79C23×Dic17C2311yescharacteristic
80C23×Dic17C2311yescharacteristic
81C23×Dic17C2311yescharacteristic
82C23×Dic17C2311yescharacteristic
83C23×Dic17C2311yescharacteristic
84C22×Dic34—24no—
85C22×Dic34—24no—
86C22×Dic34—24no—
87C22×Dic34—24no—
88C22×Dic34—24no—
89C22×Dic34—24no—
90C22×Dic34—42no—
91C22×Dic34—42no—
92C22×Dic34Q818yescomplemented
93C22×Dic34C2314yes—
94C22×Dic34C2314yes—
95C22×Dic34C2314yes—
96C2×C4⋊C4×C17—24no—
97C2×C4⋊C4×C17Q818yescomplemented
98C2×C4⋊C4×C17C2314yes—
99C2×C4⋊C4×C17C2314yes—
100C2×C42×C17—24no—
101C2×C42×C17C2314yes—
102C2×C4⋊Dic17—24no—
103C2×C4⋊Dic17—24no—
104C2×C4⋊Dic17—24no—
105C2×C4⋊Dic17—42no—
106C2×C4⋊Dic17—42no—
107C2×C4⋊Dic17C2314yes—
108C2×C4⋊Dic17C2314yes—
109C2×C4⋊Dic17C2314yes—
110C2×C4⋊Dic17C2314yes—
111C2×C4⋊Dic17C2314yes—
112C2×#63225—24no—
113C2×#63225—24no—
114C2×#63225—24no—
115C2×#63225—42no—
116C2×#63225—42no—
117C2×#63225D418yes—
118C2×#63225C2314yes—
119C2×#63225C2314yes—
120C2×#63225C2314yes—
121C2×#63225C2314yes—
122C2×#63225C2314yes—
123C2×#63225C2314yes—
124C2×C4×Dic17—24no—
125C2×C4×Dic17—24no—
126C2×C4×Dic17—24no—
127C2×C4×Dic17—24no—
128C2×C4×Dic17C2314yes—
129C2×C4×Dic17C2314yes—
130C2×C4×Dic17C2314yes—
131C2×C4×Dic17C2314yes—
132#10587574—232no—
133C4×Dic34—232no—
134C17×#95C2314yes—
135C17×#95C2314yes—
136C17×#95C2314yes—
137C17×#95C2314yes—
138#10587502C2314yes—
139#10587502C2314yes—
140#10587502C2314yes—
141#10587502C2314yes—
142#10587502C2314yes—
143#10587502C2314yes—
144#10587502C2314yes—
145#10587502C2314yes—
146#10587502C2314yes—
147#10587502C2314yes—
148C24×C17C2411yescharacteristic
149C22×C4×C17—22no—
150C22×C4×C17—22no—
151C22×C4×C17—22no—
152C22×C4×C17—22no—
153C22×C4×C17—22no—
154C22×C4×C17—22no—
155C22×C4×C17—22no—
156C22×C4×C17—22no—
157C22×C4×C17—22no—
158C22×C4×C17—22no—
159C22×C4×C17—22no—
160C22×C4×C17—22no—
161C22×C4×C17—22no—
162C22×C4×C17—22no—
163C22×C4×C17—22no—
164C22×C4×C17—22no—
165C22×C4×C17C2×D414yes—
166C22×C4×C17C2×Q814yes—
167C22×C4×C17C2×Q814yes—
168C22×C4×C17C2×Q814yes—
169C22×C4×C17C2×Q814yes—
170C22×C4×C17C2412yes—
171C22×C4×C17C2412yes—
172C22×C4×C17C2412yes—
173C22×C4×C17C2412yes—
174C22×C4×C17C2412yes—
175C22×C4×C17C2412yes—
176C22×C4×C17C2412yes—
177C22×Dic17—22no—
178C22×Dic17—22no—
179C22×Dic17—22no—
180C22×Dic17—22no—
181C22×Dic17—22no—
182C22×Dic17—22no—
183C22×Dic17—22no—
184C22×Dic17—22no—
185C22×Dic17—22no—
186C22×Dic17—22no—
187C22×Dic17—22no—
188C22×Dic17—22no—
189C22×Dic17—22no—
190C22×Dic17—22no—
191C22×Dic17—22no—
192C22×Dic17—22no—
193C22×Dic17—22no—
194C22×Dic17—22no—
195C22×Dic17C2×D414yes—
196C22×Dic17C2×D414yes—
197C22×Dic17C2×Q814yes—
198C22×Dic17C2×Q814yes—
199C22×Dic17#4114yes—
200C22×Dic17#4114yes—
201C22×Dic17C2412yes—
202C22×Dic17C2412yes—
203C22×Dic17C2412yes—
204C22×Dic17C2412yes—
205C22×Dic17C2412yes—
206C22×Dic17C2412yes—
207C22×Dic17C2412yes—
208C22×Dic17C2412yes—
209C2×Dic34—232no—
210C2×Dic34—28no—
211C2×Dic34—28no—
212C2×Dic34—28no—
213C2×Dic34—28no—
214C2×Dic34—28no—
215C2×Dic34—28no—
216C2×Dic34—44no—
217C2×Dic34—44no—
218C2×Dic34—416no—
219C2×Dic34—416no—
220C2×Dic34C2×Q8116yescomplemented
221C4⋊C4×C17—28no—
222C4⋊C4×C17C2×Q8116yescomplemented
223C42×C17—28no—
224C4⋊Dic17—28no—
225C4⋊Dic17—28no—
226C4⋊Dic17—28no—
227C4⋊Dic17—44no—
228C4⋊Dic17—44no—
229#63225—28no—
230#63225—28no—
231#63225—28no—
232#63225—44no—
233#63225—44no—
234#63225C2×D4116yes—
235C4×Dic17—28no—
236C4×Dic17—28no—
237C4×Dic17—28no—
238C4×Dic17—28no—
239C2×#2451—171nomaximal, Sylow
240C23×C17C22×D412yes—
241C23×C17C22×Q812yes—
242C23×C17C22×Q812yes—
243C23×C17C2×#4112yes—
244C23×C17C2×#4112yes—
245C23×C17H(5,𝔽2)12yes—
246C23×C172−1+412yes—
247C23×C17C2511yescharacteristic
248C2×C4×C17—28no—
249C2×C4×C17—28no—
250C2×C4×C17—28no—
251C2×C4×C17—28no—
252C2×C4×C17—28no—
253C2×C4×C17—22no—
254C2×C4×C17—22no—
255C2×C4×C17—22no—
256C2×C4×C17—22no—
257C2×C4×C17—22no—
258C2×C4×C17—22no—
259C2×C4×C17—22no—
260C2×C4×C17—22no—
261C2×C4×C17—22no—
262C2×C4×C17—22no—
263C2×C4×C17—22no—
264C2×C4×C17—22no—
265C2×C4×C17—22no—
266C2×C4×C17—22no—
267C2×C4×C17—22no—
268C2×C4×C17—22no—
269C2×C4×C17—44no—
270C2×C4×C17—44no—
271C2×C4×C17C22×D414yes—
272C2×C4×C17C22×Q814yes—
273C2×C4×C17C22×Q814yes—
274C2×C4×C17C22×Q814yes—
275C2×C4×C17C22×Q814yes—
276C2×Dic17—28no—
277C2×Dic17—28no—
278C2×Dic17—28no—
279C2×Dic17—22no—
280C2×Dic17—22no—
281C2×Dic17—22no—
282C2×Dic17—22no—
283C2×Dic17—22no—
284C2×Dic17—22no—
285C2×Dic17—22no—
286C2×Dic17—22no—
287C2×Dic17—22no—
288C2×Dic17—22no—
289C2×Dic17—22no—
290C2×Dic17—22no—
291C2×Dic17—22no—
292C2×Dic17—22no—
293C2×Dic17—22no—
294C2×Dic17—22no—
295C2×Dic17—22no—
296C2×Dic17—22no—
297C2×Dic17—44no—
298C2×Dic17—44no—
299C2×Dic17—44no—
300C2×Dic17—44no—
301C2×Dic17C22⋊Q8116yes—
302C2×Dic17C22×D414yes—
303C2×Dic17C22×D414yes—
304C2×Dic17C22×Q814yes—
305C2×Dic17C22×Q814yes—
306C2×Dic17C2×#4114yes—
307C2×Dic17C2×#4114yes—
308Dic34—232no—
309Dic34—416no—
310Dic34—416no—
311C22×C4⋊Q8—171no—
312C22×C4×Q8—171no—
313#2451—1716no—
314C2×#398—171no—
315C2×#398—171no—
316C2×#395—171no—
317C2×#395—171no—
318C2×#391—171no—
319C2×#391—171no—
320C2×#391—171no—
321C2×#391—171no—
322C2×#389—171no—
323C2×#389—171no—
324C2×#387—171no—
325C2×#387D1711yescharacteristic
326C2×C4×C4⋊C4—171no—
327C22×C17C2×C22⋊Q814yes—
328C22×C17#53314yes—
329C22×C17#54214yes—
330C22×C17#54614yes—
331C22×C17D4×Q814yes—
332C22×C17#55714yes—
333C22×C17Q8214yes—
334C22×C17C23×D411yescharacteristic
335C22×C17C23×Q811yescharacteristic
336C22×C17C23×Q811yescharacteristic
337C22×C17C22×#4111yescharacteristic
338C22×C17C22×#4111yescharacteristic
339C22×C17C2×H(5,𝔽2)11yescharacteristic
340C22×C17C2×2−1+411yescharacteristic
341C4×C17—24no—
342C4×C17—24no—
343C4×C17—24no—
344C4×C17—24no—
345C4×C17—24no—
346C4×C17—42no—
347C4×C17—42no—
348Dic17—24no—
349Dic17—24no—
350Dic17—24no—
351Dic17—42no—
352Dic17—42no—
353Dic17—42no—
354Dic17—42no—
355Dic17C2×C22⋊Q818yes—
356C23×Q8—171no—
357C23×Q8—171no—
358C23×Q8—171no—
359C2×C4⋊Q8—178no—
360C2×C4⋊Q8—348no—
361C2×C4×Q8—178no—
362C2×C4×Q8—348no—
363C22×C4⋊C4—171no—
364C22×C4⋊C4—171no—
365C22×C4⋊C4—171no—
366C22×C4⋊C4—171no—
367C22×C4⋊C4—171no—
368C22×C4⋊C4—171no—
369C22×C4⋊C4—171no—
370C22×C4⋊C4—171no—
371C22×C4⋊C4—171no—
372C22×C4⋊C4—171no—
373C22×C4⋊C4—171no—
374C22×C4⋊C4C2×D1711yescharacteristic
375C22×C4⋊C4C2×D1711yescharacteristic
376C22×C42—171no—
377C22×C42—171no—
378C22×C42—171no—
379C22×C42—171no—
380C22×C42C2×D1711yescharacteristic
381#398—178no—
382#398—178no—
383#395—178no—
384#395—178no—
385#391—178no—
386#391—178no—
387#391—178no—
388#391—178no—
389#389—178no—
390#389—178no—
391#387—178no—
392#387C2×D1718yes—
393C4×C4⋊C4—178no—
394C2×#95—171no—
395C2×#95—171no—
396C2×#95—171no—
397C2×#95—171no—
398C2×#95—171no—
399C2×#95—171no—
400C2×#95—171no—
401C2×#95—171no—
402C2×#95—171no—
403C2×#95—171no—
404C2×#95C2×D1711yescharacteristic
405C2×#95C2×D1711yescharacteristic
406C2×#95C2×D1711yescharacteristic
407C2×#95C2×D1711yescharacteristic
408C2×C17#245118yescomplemented
409C2×C17C22×C22⋊Q811yescharacteristic
410C2×C17C2×#53311yescharacteristic
411C2×C17C2×#54211yescharacteristic
412C2×C17C2×#54611yescharacteristic
413C2×C17C2×D4×Q811yescharacteristic
414C2×C17C2×#55711yescharacteristic
415C2×C17C2×Q8211yescharacteristic
416C22×Q8—178no—
417C22×Q8—174no—
418C22×Q8—174no—
419C22×Q8—174no—
420C22×Q8—344no—
421C22×Q8—344no—
422C22×Q8—344no—
423C22×Q8—344no—
424C22×Q8—344no—
425C22×Q8—344no—
426C22×Q8—682no—
427C22×Q8—682no—
428C23×C4—171no—
429C23×C4—171no—
430C23×C4—171no—
431C23×C4—171no—
432C23×C4—171no—
433C23×C4—171no—
434C23×C4—171no—
435C23×C4—171no—
436C23×C4C22×D1711yescharacteristic
437C23×C4C22×D1711yescharacteristic
438C23×C4C22×D1711yescharacteristic
439C23×C4C22×D1711yescharacteristic
440C23×C4C22×D1711yescharacteristic
441C23×C4C22×D1711yescharacteristic
442C23×C4C22×D1711yescharacteristic
443C4⋊Q8—3432no—
444C4×Q8—3432no—
445C2×C4⋊C4—24no—
446C2×C4⋊C4—178no—
447C2×C4⋊C4—174no—
448C2×C4⋊C4—174no—
449C2×C4⋊C4—174no—
450C2×C4⋊C4—174no—
451C2×C4⋊C4—174no—
452C2×C4⋊C4—174no—
453C2×C4⋊C4—174no—
454C2×C4⋊C4—174no—
455C2×C4⋊C4—174no—
456C2×C4⋊C4—174no—
457C2×C4⋊C4—174no—
458C2×C4⋊C4—344no—
459C2×C4⋊C4—344no—
460C2×C4⋊C4—344no—
461C2×C4⋊C4—344no—
462C2×C4⋊C4—344no—
463C2×C4⋊C4—344no—
464C2×C4⋊C4—682no—
465C2×C4⋊C4—682no—
466C2×C4⋊C4—682no—
467C2×C4⋊C4—682no—
468C2×C4⋊C4Dic3418yescomplemented
469C2×C4⋊C4C22×D1714yes—
470C2×C4⋊C4C22×D1714yes—
471C2×C42—24no—
472C2×C42—174no—
473C2×C42—174no—
474C2×C42—174no—
475C2×C42—174no—
476C2×C42—344no—
477C2×C42—344no—
478C2×C42—344no—
479C2×C42—344no—
480C2×C42C22×D1714yes—
481#95—174no—
482#95—174no—
483#95—174no—
484#95—174no—
485#95—174no—
486#95—174no—
487#95—174no—
488#95—174no—
489#95—174no—
490#95—174no—
491#95C22×D1714yes—
492#95C22×D1714yes—
493#95C22×D1714yes—
494#95C22×D1714yes—
495C17C2×#245111yescharacteristic, complemented, Sylow
496C24C23×D1711yescharacteristic
497C2×Q8—1716no—
498C2×Q8—348no—
499C2×Q8—3432no—
500C2×Q8—348no—
501C2×Q8—348no—
502C2×Q8—348no—
503C2×Q8—348no—
504C2×Q8—348no—
505C2×Q8—684no—
506C2×Q8—684no—
507C2×Q8—6816no—
508C2×Q8—6816no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—174no—
526C22×C4—174no—
527C22×C4—174no—
528C22×C4—172no—
529C22×C4—174no—
530C22×C4—174no—
531C22×C4—174no—
532C22×C4—172no—
533C22×C4—172no—
534C22×C4—172no—
535C22×C4—172no—
536C22×C4—172no—
537C22×C4—172no—
538C22×C4—172no—
539C22×C4—342no—
540C22×C4—342no—
541C22×C4—342no—
542C22×C4—342no—
543C22×C4—342no—
544C22×C4—342no—
545C22×C4—342no—
546C22×C4—342no—
547C22×C4—342no—
548C22×C4—342no—
549C22×C4—342no—
550C22×C4—342no—
551C22×C4—342no—
552C22×C4—342no—
553C22×C4—342no—
554C22×C4—342no—
555C22×C4—342no—
556C22×C4—342no—
557C22×C4C2×Dic3414yes—
558C22×C4C2×Dic3414yes—
559C22×C4C2×Dic3414yes—
560C22×C4D4×D1714yes—
561C22×C4Q8×D1714yes—
562C22×C4C23×D1712yes—
563C22×C4C23×D1712yes—
564C22×C4C23×D1712yes—
565C22×C4C23×D1712yes—
566C22×C4C23×D1712yes—
567C22×C4C23×D1712yes—
568C22×C4C23×D1712yes—
569C4⋊C4—28no—
570C4⋊C4—1716no—
571C4⋊C4—348no—
572C4⋊C4—348no—
573C4⋊C4—348no—
574C4⋊C4—348no—
575C4⋊C4—348no—
576C4⋊C4—348no—
577C4⋊C4—684no—
578C4⋊C4—684no—
579C4⋊C4—684no—
580C4⋊C4—684no—
581C4⋊C4C2×Dic34116yescomplemented
582C42—28no—
583C42—348no—
584C42—348no—
585C42—348no—
586C42—348no—
587C23C22×Dic3412yes—
588C23C2×D4×D1712yes—
589C23C2×Q8×D1712yes—
590C23#41×D1712yes—
591C23#41×D1712yes—
592C23#1058769612yes—
593C23#1058769712yes—
594C23C24×D1711yescharacteristic
595Q8—3432no—
596Q8—6816no—
597Q8—6816no—
598C2×C4—28no—
599C2×C4—28no—
600C2×C4—28no—
601C2×C4—28no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—28no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—44no—
620C2×C4—44no—
621C2×C4—1716no—
622C2×C4—174no—
623C2×C4—174no—
624C2×C4—174no—
625C2×C4—174no—
626C2×C4—174no—
627C2×C4—174no—
628C2×C4—348no—
629C2×C4—342no—
630C2×C4—342no—
631C2×C4—342no—
632C2×C4—342no—
633C2×C4—342no—
634C2×C4—342no—
635C2×C4—348no—
636C2×C4—348no—
637C2×C4—342no—
638C2×C4—342no—
639C2×C4—342no—
640C2×C4—342no—
641C2×C4—342no—
642C2×C4—342no—
643C2×C4—342no—
644C2×C4—342no—
645C2×C4—342no—
646C2×C4—342no—
647C2×C4—342no—
648C2×C4—342no—
649C2×C4—684no—
650C2×C4—684no—
651C2×C4—684no—
652C2×C4—684no—
653C2×C4C22×Dic3414yes—
654C2×C4C22×Dic3414yes—
655C2×C4C22×Dic3414yes—
656C2×C4C2×D4×D1714yes—
657C2×C4C2×Q8×D1714yes—
658C22C22⋊Q8×D1714yes—
659C22#1176336214yes—
660C22#1176342514yes—
661C22#1176345114yes—
662C22D4×Dic3414yes—
663C22#1176353614yes—
664C22Q8×Dic3414yes—
665C22C22×D4×D1711yescharacteristic
666C22C22×Q8×D1711yescharacteristic
667C22C23×Dic3411yescharacteristic
668C22C2×#41×D1711yescharacteristic
669C22C2×#41×D1711yescharacteristic
670C22C2×#1058769611yescharacteristic
671C22C2×#1058769711yescharacteristic
672C4—24no—
673C4—24no—
674C4—24no—
675C4—24no—
676C4—24no—
677C4—42no—
678C4—42no—
679C4—178no—
680C4—344no—
681C4—344no—
682C4—344no—
683C4—682no—
684C4—682no—
685C4—682no—
686C4—682no—
687C2#1453262218yesdirect product factor
688C2C2×C22⋊Q8×D1711yescharacteristic
689C2C2×#1176336211yescharacteristic
690C2C2×#1176342511yescharacteristic
691C2C2×#1176345111yescharacteristic
692C2C2×D4×Dic3411yescharacteristic
693C2C2×#1176353611yescharacteristic
694C2C2×Q8×Dic3411yescharacteristic
subgroupG/H
centerC24C23×D17
commutator, cosocleC23×C17C25
FrattiniC23C24×D17
FittingC2×C17×#387C2
socle, prime radicalC24×C17C24
hypercenterC2×#387D17
hypocenterC17C2×#2451
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C24 ◁ C2×#387

Complements

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

NH ≅ G/Ntype
3. #14532622C2direct (N × H)
92. C22×Dic34Q8semidirect
97. C2×C4⋊C4×C17Q8semidirect
220. C2×Dic34C2×Q8semidirect
222. C4⋊C4×C17C2×Q8semidirect
408. C2×C17#2451semidirect
468. C2×C4⋊C4Dic34semidirect
495. C17C2×#2451semidirect
581. C4⋊C4C2×Dic34semidirect
687. C2#14532622direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#105875742
C22×C4×Dic342
#145326222
C2×#117627422
C2×#117627412
C2×#117627302
C2×#117627152
C2×#117627132
C2×#117627062
C2×#117626952
C2×C4⋊C4×Dic172
C2×C17×#3872
C2×#245117