Finite Group Databasebeta

← #29723765

Subgroups — #29723765

Order 15616.

988 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839900C211yesmaximal, characteristic
2C2×C4×#11758200C211yesmaximal, characteristic, complemented
3C22⋊C4×Dic122C211yesmaximal, characteristic, complemented
4#21447370C211yesmaximal, characteristic, complemented
5#21447256C211yesmaximal, characteristic, complemented
6#21447136C211yesmaximal, characteristic, complemented
7#21446998C211yesmaximal, characteristic
8#21446494C211yesmaximal, characteristic, complemented
9#21446427C211yesmaximal, characteristic, complemented
10#21446177C211yesmaximal, characteristic, complemented
11#21446153C211yesmaximal, characteristic, complemented
12#21446072C211yesmaximal, characteristic, complemented
13#21445831C211yesmaximal, characteristic, complemented
14#21445753C211yesmaximal, characteristic, complemented
15C61×#2420C211yesmaximal, characteristic
16C23×Dic122C2211yescharacteristic
17C22×#11758200C2211yescharacteristic
18C22×#11758200C2211yescharacteristic
19C2×C4×Dic122C2211yescharacteristic
20C2×C4×Dic122C2211yescharacteristic
21#16839900—24no—
22C4×#11758200—24no—
23C2×#14519710C2211yescharacteristic
24C2×#14519708C2211yescharacteristic
25C2×C4⋊#92418C2211yescharacteristic
26C2×#14519700C2211yescharacteristic
27C2×#14519700C2211yescharacteristic
28C2×#14519700C2211yescharacteristic
29C2×#14519700C2211yescharacteristic
30C2×#14519700C2211yescharacteristic
31C2×#14519700C2211yescharacteristic
32C2×#14519698C2211yescharacteristic
33C2×#14519698C2211yescharacteristic
34C2×C22⋊#92418C2211yescharacteristic
35C2×C22⋊#92418C2211yescharacteristic
36C2×C4×#92418C2211yescharacteristic
37#16839668C2211yescharacteristic
38#16839668C2211yescharacteristic
39#16839666—21no—
40#16839666—21no—
41#16839622C2211yescharacteristic
42#16839620—21no—
43C22⋊C4×Dic61—21no—
44#16839524C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839517C2211yescharacteristic
49#16839517C2211yescharacteristic
50C2×#121×C61C2211yescharacteristic
51C2×C4×D4×C61C2211yescharacteristic
52C61×#397—21no—
53C61×#394—21no—
54C61×#390C2211yescharacteristic
55C61×#389C2211yescharacteristic
56C61×#386—21no—
57C61×#382C2211yescharacteristic
58C61×#381—21no—
59C61×#380C2211yescharacteristic
60C4×C22⋊C4×C61C2211yescharacteristic
61C22×Dic122—21no—
62C22×Dic122—22no—
63C22×Dic122—22no—
64C22×Dic122—22no—
65C22×Dic122—22no—
66C22×Dic122—41no—
67C22×Dic122—41no—
68C22×Dic122C2311yescharacteristic
69C22×Dic122C2311yescharacteristic
70C23×Dic61—21no—
71C2×#11758200—22no—
72C2×#11758200—22no—
73C2×#11758200—22no—
74C2×#11758200—22no—
75C2×#11758200—41no—
76C2×#11758200D414yes—
77C22×#92418C2311yescharacteristic
78C22×#92418C2311yescharacteristic
79C22×#92418C2311yescharacteristic
80C22×#92418C2311yescharacteristic
81C4×Dic122—22no—
82C4×Dic122—22no—
83C4×Dic122—41no—
84C4×Dic122—41no—
85C2×C4⋊Dic61C2311yescharacteristic
86C2×C4⋊Dic61C2311yescharacteristic
87C2×#11758196—21no—
88C2×#11758196—21no—
89C2×C22⋊Dic61—21no—
90C2×C4×Dic61—21no—
91C2×C4×Dic61—21no—
92#14519710—41no—
93#14519708—22no—
94C4⋊#92418—41no—
95#14519700—22no—
96#14519700—22no—
97#14519700—22no—
98#14519700—22no—
99#14519700—22no—
100#14519700—41no—
101#14519698—22no—
102#14519698—41no—
103C22⋊#92418—22no—
104C22⋊#92418—41no—
105C4×#92418—22no—
106#14519684—21no—
107#14519684—21no—
108#14519684—21no—
109#14519684—21no—
110#14519684—21no—
111C22×D4×C61—21no—
112C22×D4×C61C2311yescharacteristic
113C23×C4×C61—21no—
114C23×C4×C61C2311yescharacteristic
115#121×C61—22no—
116#121×C61—41no—
117C4×D4×C61—22no—
118C4×D4×C61—41no—
119C2×C4⋊C4×C61—21no—
120C2×C4⋊C4×C61C2311yescharacteristic
121C2×C4⋊C4×C61C2311yescharacteristic
122C2×C4⋊C4×C61C2311yescharacteristic
123C2×C22⋊C4×C61—21no—
124C2×C22⋊C4×C61—21no—
125C2×C22⋊C4×C61—21no—
126C2×C22⋊C4×C61—21no—
127C2×C22⋊C4×C61—21no—
128C2×C22⋊C4×C61D411yescharacteristic
129C2×C22⋊C4×C61D411yescharacteristic
130C2×C42×C61C2311yescharacteristic
131C2×C42×C61C2311yescharacteristic
132#95×C61—21no—
133#95×C61—21no—
134#95×C61—21no—
135#95×C61—21no—
136#95×C61D411yescharacteristic
137#95×C61D411yescharacteristic
138C24×C61—21no—
139C24×C61C2×D411yescharacteristic
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61—21no—
144C2×D4×C61—21no—
145C2×D4×C61—42no—
146C2×D4×C61—42no—
147C2×D4×C61—81no—
148C2×D4×C61C2×D412yes—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61—21no—
158C22×C4×C61—42no—
159C22×C4×C61—42no—
160C22×C4×C61—81no—
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2×D411yescharacteristic
165C22×C4×C61C2×D411yescharacteristic
166C22×C4×C61C2411yescharacteristic
167C22×Dic61—21no—
168C22×Dic61—24no—
169C22×Dic61—21no—
170C22×Dic61—21no—
171C22×Dic61—21no—
172C22×Dic61—42no—
173C22×Dic61—42no—
174C2×Dic122—21no—
175C2×Dic122—21no—
176C2×Dic122—21no—
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122—21no—
180C2×Dic122—21no—
181C2×Dic122—24no—
182C2×Dic122—21no—
183C2×Dic122—44no—
184C2×Dic122—44no—
185C2×Dic122—44no—
186C2×Dic122—42no—
187C2×Dic122—42no—
188C2×Dic122—44no—
189C2×Dic122C2×D412yes—
190C2×Dic122#4112yes—
191C2×Dic122#4112yes—
192C2×Dic122#4112yes—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61—21no—
197C4⋊C4×C61—21no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—81no—
200C22⋊C4×C61—22no—
201C22⋊C4×C61—22no—
202C22⋊C4×C61—42no—
203C22⋊C4×C61—42no—
204C22⋊C4×C61—81no—
205C22⋊C4×C61—81no—
206C22⋊C4×C61—81no—
207C42×C61—21no—
208C42×C61—21no—
209C42×C61—21no—
210C42×C61—21no—
211C22⋊Dic61—42no—
212#11758200—28no—
213#11758200—44no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218#11758196—42no—
219#11758196—42no—
220C4×Dic61—42no—
221C4×Dic61—42no—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418C2×D412yes—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—22no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61#13512yes—
248C23×C61C22×D411yescharacteristic
249D4×C61—22no—
250D4×C61—22no—
251D4×C61—41no—
252D4×C61—41no—
253D4×C61—84no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61—84no—
282C2×C4×C61#13712yes—
283C2×C4×C61C22×D411yescharacteristic
284C2×C4×C61C2×#4111yescharacteristic
285C2×C4×C61C2×#4111yescharacteristic
286C2×C4×C61C2×#4111yescharacteristic
287C2×C4×C61H(5,𝔽2)11yescharacteristic
288C2×C4×C61H(5,𝔽2)11yescharacteristic
289C2×Dic61—22no—
290C2×Dic61—22no—
291C2×Dic61—22no—
292C2×Dic61—22no—
293C2×Dic61—48no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302Dic122—22no—
303Dic122—22no—
304Dic122—22no—
305Dic122—22no—
306Dic122—22no—
307Dic122—48no—
308Dic122—41no—
309Dic122—41no—
310Dic122#12314yes—
311#92418—22no—
312#92418—41no—
313#92418—41no—
314#92418—41no—
315#24894—611nomaximal, Sylow
316C22×C61—22no—
317C22×C61—22no—
318C22×C61—22no—
319C22×C61—41no—
320C22×C61—41no—
321C22×C61—41no—
322C22×C61—41no—
323C22×C61—42no—
324C22×C61—42no—
325C22×C61—42no—
326C22×C61—81no—
327C22×C61—81no—
328C22×C61—81no—
329C22×C61—81no—
330C22×C61#52511yescharacteristic
331C22×C61D4211yescharacteristic
332C22×C61#54611yescharacteristic
333C22×C61C2×#13511yescharacteristic
334C22×C61C2×#13711yescharacteristic
335C22×C61#57711yescharacteristic
336C22×C61#57711yescharacteristic
337C4×C61—22no—
338C4×C61—41no—
339C4×C61—41no—
340C4×C61—41no—
341C4×C61—41no—
342C4×C61—81no—
343C4×C61—81no—
344C4×C61—81no—
345C4×C61C2×#12311yescharacteristic
346C4×C61#53811yescharacteristic
347C4×C61#54611yescharacteristic
348C4×C61#55111yescharacteristic
349Dic61—24no—
350Dic61—42no—
351Dic61—81no—
352Dic61—81no—
353C2×#448—611no—
354C2×C4×SD16—611no—
355#2420D6111yescharacteristic
356Q8×C22⋊C4—611no—
357#2097—611no—
358#2077—611no—
359#2055—611no—
360#2033—611no—
361#1933—611no—
362#1923—611no—
363#1880—611no—
364#1877—611no—
365#1863—611no—
366#1805—611no—
367#1787—611no—
368C2×C61—42no—
369C2×C61—82no—
370C2×C61#241811yescharacteristic
371C2×C61#310811yescharacteristic
372C2×C61#312611yescharacteristic
373C2×C61#326611yescharacteristic
374C2×C61#328211yescharacteristic
375C2×C61#330111yescharacteristic
376C2×C61#332911yescharacteristic
377C23×Q8—611no—
378C22×SD16—611no—
379C22×SD16—611no—
380C2×#121C2×D6111yescharacteristic
381C2×C4×Q8—611no—
382C2×C4×Q8—611no—
383C2×C4×D4C2×D6111yescharacteristic
384#448—1224no—
385C4×SD16—1224no—
386C2×#107—611no—
387C2×#106—611no—
388C2×C4⋊C8—611no—
389C2×#103—611no—
390C2×#103—611no—
391C2×#103—611no—
392C2×#103—611no—
393C2×#103—611no—
394C2×#103—611no—
395C2×#102—611no—
396C2×#102—611no—
397C2×C22⋊C8—611no—
398C2×C22⋊C8—611no—
399C2×C4×C8—611no—
400#397—21no—
401#394—21no—
402#391—611no—
403#391—611no—
404#391—1221no—
405#391—1221no—
406#390C2×D6111yescharacteristic
407#389C2×D6111yescharacteristic
408#386—21no—
409#382C2×D6111yescharacteristic
410#381—21no—
411#380—611no—
412#380—1221no—
413#380C2×D6111yescharacteristic
414C4×C22⋊C4—1221no—
415C4×C22⋊C4C2×D6111yescharacteristic
416#340—611no—
417#340—611no—
418#340—611no—
419#340—611no—
420#336—611no—
421#336—611no—
422C61#2489411yescharacteristic, complemented, Sylow
423C22×Q8—611no—
424C22×Q8—611no—
425C22×Q8—1222no—
426C22×Q8—1222no—
427C22×Q8—1222no—
428C22×Q8—1222no—
429C22×Q8—1221no—
430C22×Q8—2441no—
431C22×Q8—2441no—
432C22×D4—21no—
433C22×D4C22×D6111yescharacteristic
434C23×C4—21no—
435C23×C4—1221no—
436C23×C4C22×D6111yescharacteristic
437C2×SD16—614no—
438C2×SD16—1222no—
439C2×SD16—1222no—
440C2×SD16—1222no—
441C2×SD16—1222no—
442C2×SD16—2441no—
443C22×C8—611no—
444C22×C8—611no—
445C22×C8—611no—
446C22×C8—611no—
447#121—22no—
448#121—41no—
449C4×Q8—1222no—
450C4×Q8—1222no—
451C4×Q8—2441no—
452C4×Q8—2441no—
453C4×D4—22no—
454C4×D4—41no—
455C2×C4⋊C4—21no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4C22×D6111yescharacteristic
461C2×C4⋊C4C22×D6111yescharacteristic
462C2×C4⋊C4C22×D6111yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4C22⋊D6111yescharacteristic
470C2×C22⋊C4C22⋊D6111yescharacteristic
471C2×C42—1221no—
472C2×C42—1221no—
473C2×C42C22×D6111yescharacteristic
474C2×C42C22×D6111yescharacteristic
475#107—2441no—
476#106—1222no—
477C4⋊C8—2441no—
478#103—1222no—
479#103—1222no—
480#103—1222no—
481#103—1222no—
482#103—1222no—
483#103—2441no—
484#102—1222no—
485#102—2441no—
486C22⋊C8—1222no—
487C22⋊C8—2441no—
488C4×C8—1222no—
489#95—21no—
490#95—21no—
491#95—21no—
492#95—21no—
493#95—1221no—
494#95—1221no—
495#95—1221no—
496#95—1221no—
497#95—1221no—
498#95C22⋊D6111yescharacteristic
499#95C22⋊D6111yescharacteristic
500C24—21no—
501C24C2×C22⋊D6111yescharacteristic
502C2×Q8—612no—
503C2×Q8—612no—
504C2×Q8—612no—
505C2×Q8—612no—
506C2×Q8—1224no—
507C2×Q8—1221no—
508C2×Q8—1221no—
509C2×Q8—1221no—
510C2×Q8—1221no—
511C2×Q8—1221no—
512C2×Q8—1221no—
513C2×Q8—1221no—
514C2×Q8—1221no—
515C2×Q8—2442no—
516C2×Q8—2442no—
517C2×Q8—2444no—
518C2×Q8—2444no—
519C2×Q8—2444no—
520C2×Q8—2444no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—21no—
526C2×D4—42no—
527C2×D4—42no—
528C2×D4—81no—
529C2×D4D4×D6112yes—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—42no—
540C22×C4—42no—
541C22×C4—81no—
542C22×C4—1221no—
543C22×C4—1224no—
544C22×C4—1221no—
545C22×C4—1221no—
546C22×C4—1221no—
547C22×C4—2442no—
548C22×C4—2442no—
549C22×C4C2×C22⋊D6111yescharacteristic
550C22×C4C2×C22⋊D6111yescharacteristic
551C22×C4C2×C22⋊D6111yescharacteristic
552C22×C4C2×C22⋊D6111yescharacteristic
553C22×C4C2×C22⋊D6111yescharacteristic
554C22×C4C23×D6111yescharacteristic
555SD16—1228no—
556SD16—2444no—
557C2×C8—612no—
558C2×C8—1221no—
559C2×C8—1221no—
560C2×C8—1221no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8—1221no—
564C2×C8—1221no—
565C2×C8—1221no—
566C2×C8—1221no—
567C2×C8—1221no—
568C2×C8—1221no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—81no—
576C4⋊C4—1221no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—1221no—
580C4⋊C4—2442no—
581C4⋊C4—2442no—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C22⋊C4—81no—
587C22⋊C4—81no—
588C22⋊C4—81no—
589C22⋊C4—2442no—
590C42—21no—
591C42—21no—
592C42—21no—
593C42—21no—
594C42—2442no—
595C42—2442no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—22no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23#1451979712yes—
610C23C22×C22⋊D6111yescharacteristic
611Q8—614no—
612Q8—1222no—
613Q8—1222no—
614Q8—1222no—
615Q8—1222no—
616Q8—1222no—
617Q8—2448no—
618Q8—2441no—
619Q8—2441no—
620D4—22no—
621D4—22no—
622D4—41no—
623D4—41no—
624D4—84no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—84no—
653C2×C4—1222no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—2448no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4#1451980712yes—
667C2×C4C2×D4×D6111yescharacteristic
668C2×C4#41×D6111yescharacteristic
669C2×C4#41×D6111yescharacteristic
670C2×C4#41×D6111yescharacteristic
671C2×C4#1451982211yescharacteristic
672C2×C4#1451982311yescharacteristic
673C8—1222no—
674C8—2441no—
675C8—2441no—
676C8—2441no—
677C22—22no—
678C22—22no—
679C22—22no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—42no—
685C22—42no—
686C22—42no—
687C22—81no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22#1684026911yescharacteristic
692C22D4×C22⋊D6111yescharacteristic
693C22#1684040011yescharacteristic
694C22C2×#1451979711yescharacteristic
695C22C2×#1451980711yescharacteristic
696C22#1684057311yescharacteristic
697C22#1684057311yescharacteristic
698C4—22no—
699C4—41no—
700C4—41no—
701C4—41no—
702C4—41no—
703C4—81no—
704C4—81no—
705C4—81no—
706C4—1224no—
707C4—4881no—
708C4—4881no—
709C4—2442no—
710C4#123×D6111yescharacteristic
711C4#1684034811yescharacteristic
712C4#1684040411yescharacteristic
713C4#1684044011yescharacteristic
714C2—42no—
715C2—82no—
716C2#2144927811yescharacteristic
717C2#2145589511yescharacteristic
718C2#2145610511yescharacteristic
719C2#2145732511yescharacteristic
720C2#2145752211yescharacteristic
721C2#2145771511yescharacteristic
722C2#2145810711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2420C2
socleC23×C61C22×D4
prime radicalC2×#121×C61C22
hypercenter#2420D61
hypocenterC61#24894
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2420

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11758200C2semidirect
3. C22⋊C4×Dic122C2semidirect
4. #21447370C2semidirect
5. #21447256C2semidirect
6. #21447136C2semidirect
8. #21446494C2semidirect
9. #21446427C2semidirect
10. #21446177C2semidirect
11. #21446153C2semidirect
12. #21446072C2semidirect
13. #21445831C2semidirect
14. #21445753C2semidirect
422. C61#24894semidirect

Maximal subgroups

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

subgroupindex
C2×#168399002
C2×C4×#117582002
C22⋊C4×Dic1222
#214473702
#214472562
#214471362
#214469982
#214464942
#214464272
#214461772
#214461532
#214460722
#214458312
#214457532
C61×#24202
#2489461