Finite Group Databasebeta

← C2×#20248794 #26386547

Subgroups — C2×#20248794 #26386547

Order 12032.

2182 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20248794C2116yesmaximal, direct product factor
2C2×#15689056C211yesmaximal, characteristic
3C2×#15689044C211yesmaximal, characteristic
4C2×#15689044C211yesmaximal, characteristic
5C2×#15689043C211yesmaximal, characteristic
6C2×#15689029C211yesmaximal, characteristic
7C2×#15689029C211yesmaximal, characteristic
8C2×#15689027C211yesmaximal, characteristic
9C2×#15689021C211yesmaximal, characteristic
10C2×#15689020C211yesmaximal, characteristic
11C2×#15689009C211yesmaximal, characteristic
12C2×#15689009C211yesmaximal, characteristic
13C2×#15689007C211yesmaximal, characteristic
14C2×#15689007C211yesmaximal, characteristic
15C2×C4×Dic47⋊C4C211yesmaximal, characteristic
16C2×C4×C4⋊C4×C47C211yesmaximal, characteristic
17C23×Dic94C2211yescharacteristic
18C23×Dic94C2211yescharacteristic
19C22×C4⋊Dic47C2211yescharacteristic
20C22×C4⋊Dic47C2211yescharacteristic
21C22×C4⋊Dic47C2211yescharacteristic
22C22×C4⋊Dic47C2211yescharacteristic
23C22×Dic47⋊C4C2211yescharacteristic
24C22×Dic47⋊C4C2211yescharacteristic
25C22×Dic47⋊C4C2211yescharacteristic
26C22×Dic47⋊C4C2211yescharacteristic
27C22×Dic47⋊C4C2211yescharacteristic
28C22×Dic47⋊C4C2211yescharacteristic
29C22×C4×Dic47C2211yescharacteristic
30C22×C4×Dic47C2211yescharacteristic
31#15689056C2218yes—
32#15689044C2218yes—
33#15689044C2218yes—
34#15689043C2218yes—
35#15689029C2218yes—
36#15689029C2218yes—
37#15689027C2218yes—
38#15689021C2218yes—
39#15689020C2218yes—
40#15689009C2218yes—
41#15689009C2218yes—
42#15689007C2218yes—
43#15689007C2218yes—
44C4×Dic47⋊C4C2218yes—
45C2×C47⋊#95C2211yescharacteristic
46C2×C47⋊#95C2211yescharacteristic
47C2×C47⋊#95C2211yescharacteristic
48C2×C47⋊#95C2211yescharacteristic
49C2×C47⋊#95C2211yescharacteristic
50C2×C47⋊#95C2211yescharacteristic
51C2×C47⋊#95C2211yescharacteristic
52C2×C47⋊#95C2211yescharacteristic
53C2×C47⋊#95C2211yescharacteristic
54C2×C47⋊#95C2211yescharacteristic
55C2×C47⋊#95C2211yescharacteristic
56C2×C47⋊#95C2211yescharacteristic
57C2×C47⋊#95C2211yescharacteristic
58C2×C47⋊#95C2211yescharacteristic
59C22×C4⋊C4×C47C2211yescharacteristic
60C22×C4⋊C4×C47C2211yescharacteristic
61C22×C42×C47C2211yescharacteristic
62C22×C42×C47C2211yescharacteristic
63C22×C42×C47C2211yescharacteristic
64C4×C4⋊C4×C47C2218yes—
65C2×#95×C47C2211yescharacteristic
66C2×#95×C47C2211yescharacteristic
67C22×Dic94—24no—
68C22×Dic94—24no—
69C22×Dic94—24no—
70C22×Dic94—42no—
71C22×Dic94—42no—
72C22×Dic94—42no—
73C22×Dic94C2314yes—
74C22×Dic94C2314yes—
75C23×Dic47C2311yescharacteristic
76C23×Dic47C2311yescharacteristic
77C23×Dic47C2311yescharacteristic
78C23×Dic47C2311yescharacteristic
79C23×Dic47C2311yescharacteristic
80C23×Dic47C2311yescharacteristic
81C23×Dic47C2311yescharacteristic
82C23×Dic47C2311yescharacteristic
83C2×C4⋊Dic47—24no—
84C2×C4⋊Dic47—42no—
85C2×C4⋊Dic47—42no—
86C2×C4⋊Dic47—42no—
87C2×C4⋊Dic47C2314yes—
88C2×C4⋊Dic47C2314yes—
89C2×C4⋊Dic47C2314yes—
90C2×C4⋊Dic47C2314yes—
91C2×Dic47⋊C4—24no—
92C2×Dic47⋊C4—24no—
93C2×Dic47⋊C4—42no—
94C2×Dic47⋊C4—42no—
95C2×Dic47⋊C4—42no—
96C2×Dic47⋊C4Q818yescomplemented
97C2×Dic47⋊C4C2314yes—
98C2×Dic47⋊C4C2314yes—
99C2×Dic47⋊C4C2314yes—
100C2×Dic47⋊C4C2314yes—
101C2×Dic47⋊C4C2314yes—
102C2×Dic47⋊C4C2314yes—
103C2×C4×Dic47—24no—
104C2×C4×Dic47—42no—
105C2×C4×Dic47C2314yes—
106C2×C4×Dic47C2314yes—
107C47⋊#95C2314yes—
108C47⋊#95C2314yes—
109C47⋊#95C2314yes—
110C47⋊#95C2314yes—
111C47⋊#95C2314yes—
112C47⋊#95C2314yes—
113C47⋊#95C2314yes—
114C47⋊#95C2314yes—
115C47⋊#95C2314yes—
116C47⋊#95C2314yes—
117C47⋊#95C2314yes—
118C47⋊#95C2314yes—
119C47⋊#95C2314yes—
120C47⋊#95C2314yes—
121C23×C4×C47C2311yescharacteristic
122C23×C4×C47C2311yescharacteristic
123C23×C4×C47C2311yescharacteristic
124C23×C4×C47C2311yescharacteristic
125C23×C4×C47C2311yescharacteristic
126C23×C4×C47C2311yescharacteristic
127C23×C4×C47C2311yescharacteristic
128C2×C4⋊C4×C47—24no—
129C2×C4⋊C4×C47Q818yescomplemented
130C2×C4⋊C4×C47C2314yes—
131C2×C4⋊C4×C47C2314yes—
132C2×C42×C47—24no—
133C2×C42×C47—42no—
134C2×C42×C47—42no—
135C2×C42×C47C2314yes—
136C2×C42×C47C2314yes—
137C2×C42×C47C2314yes—
138#95×C47C2314yes—
139#95×C47C2314yes—
140C24×C47C2411yescharacteristic
141C22×C4×C47—22no—
142C22×C4×C47—22no—
143C22×C4×C47—22no—
144C22×C4×C47—22no—
145C22×C4×C47—22no—
146C22×C4×C47—22no—
147C22×C4×C47—22no—
148C22×C4×C47—22no—
149C22×C4×C47—22no—
150C22×C4×C47—22no—
151C22×C4×C47—22no—
152C22×C4×C47—22no—
153C22×C4×C47—22no—
154C22×C4×C47—22no—
155C22×C4×C47—22no—
156C22×C4×C47C2×Q814yes—
157C22×C4×C47C2×Q814yes—
158C22×C4×C47C2×Q814yes—
159C22×C4×C47C2×Q814yes—
160C22×C4×C47#4114yes—
161C22×C4×C47#4114yes—
162C22×C4×C47C2412yes—
163C22×C4×C47C2412yes—
164C22×C4×C47C2412yes—
165C22×C4×C47C2412yes—
166C22×C4×C47C2412yes—
167C22×C4×C47C2412yes—
168C22×C4×C47C2412yes—
169C22×Dic47—22no—
170C22×Dic47—22no—
171C22×Dic47—22no—
172C22×Dic47—22no—
173C22×Dic47—22no—
174C22×Dic47—22no—
175C22×Dic47—22no—
176C22×Dic47—22no—
177C22×Dic47—22no—
178C22×Dic47—22no—
179C22×Dic47—22no—
180C22×Dic47—22no—
181C22×Dic47—22no—
182C22×Dic47—22no—
183C22×Dic47—22no—
184C22×Dic47—22no—
185C22×Dic47—22no—
186C22×Dic47—22no—
187C22×Dic47—22no—
188C22×Dic47—22no—
189C22×Dic47—22no—
190C22×Dic47C2×Q814yes—
191C22×Dic47C2×Q814yes—
192C22×Dic47#4114yes—
193C22×Dic47C2412yes—
194C22×Dic47C2412yes—
195C22×Dic47C2412yes—
196C22×Dic47C2412yes—
197C22×Dic47C2412yes—
198C22×Dic47C2412yes—
199C22×Dic47C2412yes—
200C22×Dic47C2412yes—
201C2×Dic94—28no—
202C2×Dic94—28no—
203C2×Dic94—28no—
204C2×Dic94—44no—
205C2×Dic94—44no—
206C2×Dic94—44no—
207C2×Dic94—416no—
208C2×Dic94—416no—
209C4⋊C4×C47—28no—
210C4⋊C4×C47C2×Q8116yescomplemented
211C42×C47—28no—
212C42×C47—44no—
213C42×C47—44no—
214C4⋊Dic47—28no—
215C4⋊Dic47—44no—
216C4⋊Dic47—44no—
217C4⋊Dic47—44no—
218Dic47⋊C4—28no—
219Dic47⋊C4—28no—
220Dic47⋊C4—44no—
221Dic47⋊C4—44no—
222Dic47⋊C4—44no—
223Dic47⋊C4C2×Q8116yescomplemented
224C4×Dic47—28no—
225C4×Dic47—44no—
226C23×C47C22×Q812yes—
227C23×C47C22×Q812yes—
228C23×C47C2×#4112yes—
229C23×C47C2×#4112yes—
230C23×C47C2×#4112yes—
231C23×C47H(5,𝔽2)12yes—
232C23×C47H(5,𝔽2)12yes—
233C23×C47C2511yescharacteristic
234C2×C4×C47—28no—
235C2×C4×C47—28no—
236C2×C4×C47—28no—
237C2×C4×C47—28no—
238C2×C4×C47—28no—
239C2×C4×C47—28no—
240C2×C4×C47—22no—
241C2×C4×C47—22no—
242C2×C4×C47—22no—
243C2×C4×C47—22no—
244C2×C4×C47—22no—
245C2×C4×C47—22no—
246C2×C4×C47—22no—
247C2×C4×C47—22no—
248C2×C4×C47—22no—
249C2×C4×C47—22no—
250C2×C4×C47—22no—
251C2×C4×C47—22no—
252C2×C4×C47—22no—
253C2×C4×C47—22no—
254C2×C4×C47—22no—
255C2×C4×C47—44no—
256C2×C4×C47C22×Q814yes—
257C2×C4×C47C22×Q814yes—
258C2×C4×C47C22×Q814yes—
259C2×C4×C47C22×Q814yes—
260C2×C4×C47C2×#4114yes—
261C2×C4×C47C2×#4114yes—
262C2×Dic47—28no—
263C2×Dic47—28no—
264C2×Dic47—28no—
265C2×Dic47—22no—
266C2×Dic47—22no—
267C2×Dic47—22no—
268C2×Dic47—22no—
269C2×Dic47—22no—
270C2×Dic47—22no—
271C2×Dic47—22no—
272C2×Dic47—22no—
273C2×Dic47—22no—
274C2×Dic47—22no—
275C2×Dic47—22no—
276C2×Dic47—22no—
277C2×Dic47—22no—
278C2×Dic47—22no—
279C2×Dic47—22no—
280C2×Dic47—22no—
281C2×Dic47—22no—
282C2×Dic47—22no—
283C2×Dic47—22no—
284C2×Dic47—22no—
285C2×Dic47—22no—
286C2×Dic47—44no—
287C2×Dic47—44no—
288C2×Dic47—44no—
289C2×Dic47—44no—
290C2×Dic47—44no—
291C2×Dic47C22×Q814yes—
292C2×Dic47C22×Q814yes—
293C2×Dic47C2×#4114yes—
294Dic94—416no—
295Dic94—416no—
296C2×#2586—471nomaximal, Sylow
297C22×C47#53314yes—
298C22×C47#53314yes—
299C22×C47#53814yes—
300C22×C47#55114yes—
301C22×C47#55414yes—
302C22×C47#55414yes—
303C22×C47Q8214yes—
304C22×C47C23×Q811yescharacteristic
305C22×C47C23×Q811yescharacteristic
306C22×C47C22×#4111yescharacteristic
307C22×C47C22×#4111yescharacteristic
308C22×C47C22×#4111yescharacteristic
309C22×C47C2×H(5,𝔽2)11yescharacteristic
310C22×C47C2×H(5,𝔽2)11yescharacteristic
311C4×C47—24no—
312C4×C47—24no—
313C4×C47—24no—
314C4×C47—24no—
315C4×C47—24no—
316C4×C47—24no—
317C4×C47—42no—
318Dic47—24no—
319Dic47—24no—
320Dic47—24no—
321Dic47—42no—
322Dic47—42no—
323Dic47—42no—
324Dic47—42no—
325Dic47—42no—
326#2586—4716no—
327C2×#398—471no—
328C2×#395—471no—
329C2×#395—471no—
330C2×#395—471no—
331C2×#391—471no—
332C2×#391—471no—
333C2×#391—471no—
334C2×#389—471no—
335C2×#389—471no—
336C2×#387—471no—
337C2×#387—471no—
338C2×#387—471no—
339C2×#387—471no—
340C2×C4×C4⋊C4—471no—
341C2×C4×C4⋊C4D4711yescharacteristic
342C2×C47#258618yescomplemented
343C2×C47C2×#53311yescharacteristic
344C2×C47C2×#53311yescharacteristic
345C2×C47C2×#53811yescharacteristic
346C2×C47C2×#55111yescharacteristic
347C2×C47C2×#55411yescharacteristic
348C2×C47C2×#55411yescharacteristic
349C2×C47C2×Q8211yescharacteristic
350C23×Q8—471no—
351C23×Q8—471no—
352C22×C4⋊C4—471no—
353C22×C4⋊C4—471no—
354C22×C4⋊C4—471no—
355C22×C4⋊C4—471no—
356C22×C4⋊C4—471no—
357C22×C4⋊C4—471no—
358C22×C4⋊C4—471no—
359C22×C4⋊C4—471no—
360C22×C4⋊C4—471no—
361C22×C4⋊C4—471no—
362C22×C4⋊C4C2×D4711yescharacteristic
363C22×C4⋊C4C2×D4711yescharacteristic
364C22×C42—471no—
365C22×C42—471no—
366C22×C42C2×D4711yescharacteristic
367C22×C42C2×D4711yescharacteristic
368C22×C42C2×D4711yescharacteristic
369#398—478no—
370#395—478no—
371#395—478no—
372#395—478no—
373#391—478no—
374#391—478no—
375#391—478no—
376#389—478no—
377#389—478no—
378#387—478no—
379#387—478no—
380#387—478no—
381#387—478no—
382C4×C4⋊C4—478no—
383C4×C4⋊C4C2×D4718yes—
384C2×#95—471no—
385C2×#95—471no—
386C2×#95—471no—
387C2×#95—471no—
388C2×#95—471no—
389C2×#95—471no—
390C2×#95—471no—
391C2×#95—471no—
392C2×#95—471no—
393C2×#95—471no—
394C2×#95—471no—
395C2×#95—471no—
396C2×#95—471no—
397C2×#95—471no—
398C2×#95C2×D4711yescharacteristic
399C2×#95C2×D4711yescharacteristic
400C47C2×#258611yescharacteristic, complemented, Sylow
401C22×Q8—474no—
402C22×Q8—474no—
403C22×Q8—944no—
404C22×Q8—944no—
405C22×Q8—944no—
406C22×Q8—1882no—
407C22×Q8—1882no—
408C22×Q8—1882no—
409C23×C4—471no—
410C23×C4—471no—
411C23×C4—471no—
412C23×C4—471no—
413C23×C4—471no—
414C23×C4—471no—
415C23×C4—471no—
416C23×C4—471no—
417C23×C4C22×D4711yescharacteristic
418C23×C4C22×D4711yescharacteristic
419C23×C4C22×D4711yescharacteristic
420C23×C4C22×D4711yescharacteristic
421C23×C4C22×D4711yescharacteristic
422C23×C4C22×D4711yescharacteristic
423C23×C4C22×D4711yescharacteristic
424C2×C4⋊C4—24no—
425C2×C4⋊C4—478no—
426C2×C4⋊C4—474no—
427C2×C4⋊C4—474no—
428C2×C4⋊C4—474no—
429C2×C4⋊C4—474no—
430C2×C4⋊C4—474no—
431C2×C4⋊C4—474no—
432C2×C4⋊C4—474no—
433C2×C4⋊C4—474no—
434C2×C4⋊C4—474no—
435C2×C4⋊C4—474no—
436C2×C4⋊C4—944no—
437C2×C4⋊C4—944no—
438C2×C4⋊C4—944no—
439C2×C4⋊C4—1882no—
440C2×C4⋊C4—1882no—
441C2×C4⋊C4—1882no—
442C2×C4⋊C4—1882no—
443C2×C4⋊C4—1882no—
444C2×C4⋊C4—1882no—
445C2×C4⋊C4Dic9418yescomplemented
446C2×C4⋊C4C22×D4714yes—
447C2×C4⋊C4C22×D4714yes—
448C2×C42—24no—
449C2×C42—42no—
450C2×C42—42no—
451C2×C42—474no—
452C2×C42—474no—
453C2×C42—944no—
454C2×C42—1882no—
455C2×C42C22×D4714yes—
456C2×C42C22×D4714yes—
457C2×C42C22×D4714yes—
458#95—474no—
459#95—474no—
460#95—474no—
461#95—474no—
462#95—474no—
463#95—474no—
464#95—474no—
465#95—474no—
466#95—474no—
467#95—474no—
468#95—474no—
469#95—474no—
470#95—474no—
471#95—474no—
472#95C22×D4714yes—
473#95C22×D4714yes—
474C24C23×D4711yescharacteristic
475C2×Q8—948no—
476C2×Q8—948no—
477C2×Q8—948no—
478C2×Q8—1884no—
479C2×Q8—1884no—
480C2×Q8—1884no—
481C2×Q8—18816no—
482C2×Q8—18816no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—474no—
499C22×C4—474no—
500C22×C4—474no—
501C22×C4—472no—
502C22×C4—472no—
503C22×C4—472no—
504C22×C4—472no—
505C22×C4—472no—
506C22×C4—472no—
507C22×C4—472no—
508C22×C4—472no—
509C22×C4—942no—
510C22×C4—942no—
511C22×C4—942no—
512C22×C4—942no—
513C22×C4—942no—
514C22×C4—942no—
515C22×C4—942no—
516C22×C4—942no—
517C22×C4—942no—
518C22×C4—942no—
519C22×C4—942no—
520C22×C4—942no—
521C22×C4—942no—
522C22×C4—942no—
523C22×C4—942no—
524C22×C4—942no—
525C22×C4—942no—
526C22×C4—942no—
527C22×C4—942no—
528C22×C4—942no—
529C22×C4—942no—
530C22×C4C2×Dic9414yes—
531C22×C4C2×Dic9414yes—
532C22×C4C2×Dic9414yes—
533C22×C4#1062535014yes—
534C22×C4#1062535014yes—
535C22×C4Q8×D4714yes—
536C22×C4C23×D4712yes—
537C22×C4C23×D4712yes—
538C22×C4C23×D4712yes—
539C22×C4C23×D4712yes—
540C22×C4C23×D4712yes—
541C22×C4C23×D4712yes—
542C22×C4C23×D4712yes—
543C4⋊C4—28no—
544C4⋊C4—4716no—
545C4⋊C4—948no—
546C4⋊C4—948no—
547C4⋊C4—948no—
548C4⋊C4—1884no—
549C4⋊C4—1884no—
550C4⋊C4—1884no—
551C4⋊C4—1884no—
552C4⋊C4—1884no—
553C4⋊C4—1884no—
554C4⋊C4C2×Dic94116yescomplemented
555C42—28no—
556C42—44no—
557C42—44no—
558C42—948no—
559C42—1884no—
560C23C2×Q8×D4712yes—
561C23C22×Dic9412yes—
562C23#41×D4712yes—
563C23C2×#1062535012yes—
564C23C2×#1062535012yes—
565C23#1309406912yes—
566C23#1309407012yes—
567C23C24×D4711yescharacteristic
568Q8—18816no—
569Q8—18816no—
570C2×C4—28no—
571C2×C4—28no—
572C2×C4—28no—
573C2×C4—28no—
574C2×C4—28no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—28no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—44no—
592C2×C4—474no—
593C2×C4—474no—
594C2×C4—474no—
595C2×C4—948no—
596C2×C4—948no—
597C2×C4—948no—
598C2×C4—942no—
599C2×C4—942no—
600C2×C4—942no—
601C2×C4—942no—
602C2×C4—942no—
603C2×C4—942no—
604C2×C4—942no—
605C2×C4—942no—
606C2×C4—942no—
607C2×C4—942no—
608C2×C4—942no—
609C2×C4—942no—
610C2×C4—942no—
611C2×C4—942no—
612C2×C4—942no—
613C2×C4—942no—
614C2×C4—942no—
615C2×C4—942no—
616C2×C4—942no—
617C2×C4—942no—
618C2×C4—942no—
619C2×C4—1884no—
620C2×C4—1884no—
621C2×C4—1884no—
622C2×C4—1884no—
623C2×C4—1884no—
624C2×C4C2×Q8×D4714yes—
625C2×C4C22×Dic9414yes—
626C2×C4C22×Dic9414yes—
627C2×C4C22×Dic9414yes—
628C2×C4C2×#1062535014yes—
629C2×C4C2×#1062535014yes—
630C22#1568967714yes—
631C22#1568968014yes—
632C22#1568970614yes—
633C22#1568979714yes—
634C22#1568982814yes—
635C22#1568983214yes—
636C22Q8×Dic9414yes—
637C22C22×Q8×D4711yescharacteristic
638C22C23×Dic9411yescharacteristic
639C22C2×#41×D4711yescharacteristic
640C22C22×#1062535011yescharacteristic
641C22C22×#1062535011yescharacteristic
642C22C2×#1309406911yescharacteristic
643C22C2×#1309407011yescharacteristic
644C4—24no—
645C4—24no—
646C4—24no—
647C4—24no—
648C4—24no—
649C4—24no—
650C4—42no—
651C4—944no—
652C4—944no—
653C4—944no—
654C4—1882no—
655C4—1882no—
656C4—1882no—
657C4—1882no—
658C4—1882no—
659C2#2024879418yesdirect product factor
660C2C2×#1568967711yescharacteristic
661C2C2×#1568968011yescharacteristic
662C2C2×#1568970611yescharacteristic
663C2C2×#1568979711yescharacteristic
664C2C2×#1568982811yescharacteristic
665C2C2×#1568983211yescharacteristic
666C2C2×Q8×Dic9411yescharacteristic
subgroupG/H
centerC24C23×D47
commutator, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC2×C4×C4⋊C4×C47C2
socle, prime radicalC24×C47C24
hypercenterC2×C4×C4⋊C4D47
hypocenterC47C2×#2586
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. #20248794C2direct (N × H)
96. C2×Dic47⋊C4Q8semidirect
129. C2×C4⋊C4×C47Q8semidirect
210. C4⋊C4×C47C2×Q8semidirect
223. Dic47⋊C4C2×Q8semidirect
342. C2×C47#2586semidirect
400. C47C2×#2586semidirect
445. C2×C4⋊C4Dic94semidirect
554. C4⋊C4C2×Dic94semidirect
659. C2#20248794direct (N × H)

Maximal subgroups

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

subgroupindex
#202487942
C2×#156890562
C2×#156890442
C2×#156890432
C2×#156890292
C2×#156890272
C2×#156890212
C2×#156890202
C2×#156890092
C2×#156890072
C2×C4×Dic47⋊C42
C2×C4×C4⋊C4×C472
C2×#258647