Finite Group Databasebeta

← #29724005

Subgroups — #29724005

Order 15616.

1010 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839900C211yesmaximal, characteristic
2C2×#16839862C211yesmaximal, characteristic, complemented
3C22⋊C4×Dic122C211yesmaximal, characteristic, complemented
4#21447358C211yesmaximal, characteristic, complemented
5#21447245C211yesmaximal, characteristic, complemented
6#21447136C211yesmaximal, characteristic, complemented
7#21446998C211yesmaximal, characteristic
8#21446508C211yesmaximal, characteristic, complemented
9#21446434C211yesmaximal, characteristic, complemented
10#21446177C211yesmaximal, characteristic, complemented
11#21446153C211yesmaximal, characteristic, complemented
12#21446072C211yesmaximal, characteristic, complemented
13#21445821C211yesmaximal, characteristic, complemented
14#21445753C211yesmaximal, characteristic, complemented
15C61×#2422C211yesmaximal, characteristic
16C23×Dic122C2211yescharacteristic
17C22×#11758200C2211yescharacteristic
18C22×#11758200C2211yescharacteristic
19C2×C4×Dic122C2211yescharacteristic
20C2×C4×Dic122C2211yescharacteristic
21#16839900—24no—
22#16839862—24no—
23C2×#14519710C2211yescharacteristic
24C2×#14519710C2211yescharacteristic
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×#14519688C2211yescharacteristic
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×#123×C61—21no—
51C2×#121×C61C2211yescharacteristic
52C2×C4×D4×C61C2211yescharacteristic
53C61×#397—21no—
54C61×#394—21no—
55C61×#390C2211yescharacteristic
56C61×#389C2211yescharacteristic
57C61×#385—21no—
58C61×#384C2211yescharacteristic
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—22no—
93#14519710—41no—
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—
105#14519688—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#123×C61—44no—
116#121×C61—22no—
117#121×C61—41no—
118C4×D4×C61—22no—
119C4×D4×C61—41no—
120C2×C4⋊C4×C61—21no—
121C2×C4⋊C4×C61—21no—
122C2×C4⋊C4×C61—21no—
123C2×C4⋊C4×C61C2311yescharacteristic
124C2×C4⋊C4×C61C2311yescharacteristic
125C2×C4⋊C4×C61C2311yescharacteristic
126C2×C22⋊C4×C61—21no—
127C2×C22⋊C4×C61—21no—
128C2×C22⋊C4×C61—21no—
129C2×C22⋊C4×C61—21no—
130C2×C22⋊C4×C61—21no—
131C2×C22⋊C4×C61D411yescharacteristic
132C2×C22⋊C4×C61D411yescharacteristic
133C2×C42×C61C2311yescharacteristic
134C2×C42×C61C2311yescharacteristic
135#95×C61—21no—
136#95×C61—21no—
137#95×C61D411yescharacteristic
138#95×C61D411yescharacteristic
139C24×C61—21no—
140C24×C61C2×D411yescharacteristic
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61—21no—
144C2×D4×C61—21no—
145C2×D4×C61—21no—
146C2×D4×C61—42no—
147C2×D4×C61—42no—
148C2×D4×C61—81no—
149C2×D4×C61C2×D412yes—
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—21no—
159C22×C4×C61—42no—
160C22×C4×C61—42no—
161C22×C4×C61—81no—
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2×D411yescharacteristic
165C22×C4×C61C2×D411yescharacteristic
166C22×C4×C61C2×D411yescharacteristic
167C22×C4×C61C2411yescharacteristic
168C22×Dic61—21no—
169C22×Dic61—24no—
170C22×Dic61—21no—
171C22×Dic61—21no—
172C22×Dic61—21no—
173C22×Dic61—42no—
174C22×Dic61—42no—
175C2×Dic122—21no—
176C2×Dic122—21no—
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122—21no—
180C2×Dic122—21no—
181C2×Dic122—21no—
182C2×Dic122—24no—
183C2×Dic122—21no—
184C2×Dic122—44no—
185C2×Dic122—44no—
186C2×Dic122—44no—
187C2×Dic122—42no—
188C2×Dic122—42no—
189C2×Dic122—44no—
190C2×Dic122C2×D412yes—
191C2×Dic122#4112yes—
192C2×Dic122#4112yes—
193C2×Dic122#4112yes—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61—21no—
197C4⋊C4×C61—21no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—21no—
200C4⋊C4×C61—42no—
201C4⋊C4×C61—42no—
202C4⋊C4×C61—81no—
203C22⋊C4×C61—22no—
204C22⋊C4×C61—22no—
205C22⋊C4×C61—42no—
206C22⋊C4×C61—42no—
207C22⋊C4×C61—42no—
208C22⋊C4×C61—42no—
209C22⋊C4×C61—42no—
210C42×C61—21no—
211C42×C61—21no—
212C42×C61—21no—
213C42×C61—21no—
214C22⋊Dic61—42no—
215#11758200—28no—
216#11758200—44no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—21no—
221#11758196—42no—
222#11758196—42no—
223C4×Dic61—42no—
224C4×Dic61—42no—
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×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418C2×D412yes—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61—21no—
243C23×C61—22no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61—41no—
248C23×C61—41no—
249C23×C61—41no—
250C23×C61AGL(1,ℤ/8)12yes—
251C23×C61C22×D411yescharacteristic
252D4×C61—22no—
253D4×C61—22no—
254D4×C61—41no—
255D4×C61—41no—
256D4×C61—84no—
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—21no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
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—41no—
282C2×C4×C61—41no—
283C2×C4×C61—41no—
284C2×C4×C61—84no—
285C2×C4×C61#13712yes—
286C2×C4×C61C22×D411yescharacteristic
287C2×C4×C61C2×#4111yescharacteristic
288C2×C4×C61C2×#4111yescharacteristic
289C2×C4×C61C2×#4111yescharacteristic
290C2×C4×C61H(5,𝔽2)11yescharacteristic
291C2×C4×C61H(5,𝔽2)11yescharacteristic
292C2×Dic61—22no—
293C2×Dic61—22no—
294C2×Dic61—22no—
295C2×Dic61—22no—
296C2×Dic61—48no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305Dic122—22no—
306Dic122—22no—
307Dic122—22no—
308Dic122—22no—
309Dic122—22no—
310Dic122—48no—
311Dic122—41no—
312Dic122—41no—
313Dic122#12314yescomplemented
314#92418—22no—
315#92418—41no—
316#92418—41no—
317#92418—41no—
318#24910—611nomaximal, Sylow
319C22×C61—22no—
320C22×C61—22no—
321C22×C61—22no—
322C22×C61—41no—
323C22×C61—41no—
324C22×C61—41no—
325C22×C61—41no—
326C22×C61—42no—
327C22×C61—42no—
328C22×C61—42no—
329C22×C61—81no—
330C22×C61—81no—
331C22×C61—81no—
332C22×C61—81no—
333C22×C61#52511yescharacteristic
334C22×C61D4211yescharacteristic
335C22×C61#54611yescharacteristic
336C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
337C22×C61C2×#13711yescharacteristic
338C22×C61#57711yescharacteristic
339C22×C61#57811yescharacteristic
340C4×C61—22no—
341C4×C61—41no—
342C4×C61—41no—
343C4×C61—41no—
344C4×C61—41no—
345C4×C61—81no—
346C4×C61—81no—
347C4×C61—81no—
348C4×C61C2×#12311yescharacteristic
349C4×C61#53811yescharacteristic
350C4×C61#54611yescharacteristic
351C4×C61#55111yescharacteristic
352Dic61—24no—
353Dic61—42no—
354Dic61—81no—
355Dic61—81no—
356C2×#448—611no—
357C2×#440—611no—
358#2422D6111yescharacteristic
359Q8×C22⋊C4—611no—
360#2095—611no—
361#2075—611no—
362#2055—611no—
363#2033—611no—
364#1935—611no—
365#1924—611no—
366#1880—611no—
367#1877—611no—
368#1863—611no—
369#1803—611no—
370#1787—611no—
371C2×C61—42no—
372C2×C61—82no—
373C2×C61#241811yescharacteristic
374C2×C61#311211yescharacteristic
375C2×C61#312111yescharacteristic
376C2×C61#326511yescharacteristic
377C2×C61#327611yescharacteristic
378C2×C61#330811yescharacteristic
379C2×C61#332011yescharacteristic
380C23×Q8—611no—
381C22×SD16—611no—
382C22×SD16—611no—
383C2×#123—21no—
384C2×#121C2×D6111yescharacteristic
385C2×C4×Q8—611no—
386C2×C4×Q8—611no—
387C2×C4×D4C2×D6111yescharacteristic
388#448—1224no—
389#440—1224no—
390C2×#107—611no—
391C2×#107—611no—
392C2×C4⋊C8—611no—
393C2×#103—611no—
394C2×#103—611no—
395C2×#103—611no—
396C2×#103—611no—
397C2×#103—611no—
398C2×#103—611no—
399C2×#102—611no—
400C2×#102—611no—
401C2×C22⋊C8—611no—
402C2×C22⋊C8—611no—
403C2×#97—611no—
404#397—21no—
405#394—21no—
406#391—611no—
407#391—611no—
408#391—1221no—
409#391—1221no—
410#390C2×D6111yescharacteristic
411#389C2×D6111yescharacteristic
412#385—21no—
413#384C2×D6111yescharacteristic
414#380—611no—
415#380—1221no—
416#380C2×D6111yescharacteristic
417C4×C22⋊C4—1221no—
418C4×C22⋊C4C2×D6111yescharacteristic
419#340—611no—
420#340—611no—
421#340—611no—
422#340—611no—
423#336—611no—
424#336—611no—
425C61#2491011yescharacteristic, complemented, Sylow
426C22×Q8—611no—
427C22×Q8—611no—
428C22×Q8—1222no—
429C22×Q8—1222no—
430C22×Q8—1222no—
431C22×Q8—1222no—
432C22×Q8—1221no—
433C22×Q8—2441no—
434C22×Q8—2441no—
435C22×D4—21no—
436C22×D4C22×D6111yescharacteristic
437C23×C4—21no—
438C23×C4—1221no—
439C23×C4C22×D6111yescharacteristic
440C2×SD16—614no—
441C2×SD16—1222no—
442C2×SD16—1222no—
443C2×SD16—1222no—
444C2×SD16—1222no—
445C2×SD16—2441no—
446C22×C8—611no—
447C22×C8—611no—
448C22×C8—611no—
449C22×C8—611no—
450#123—44no—
451#121—22no—
452#121—41no—
453C4×Q8—1222no—
454C4×Q8—1222no—
455C4×Q8—2441no—
456C4×Q8—2441no—
457C4×D4—22no—
458C4×D4—41no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—611no—
463C2×C4⋊C4—611no—
464C2×C4⋊C4—1221no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4C22×D6111yescharacteristic
467C2×C4⋊C4C22×D6111yescharacteristic
468C2×C4⋊C4C22×D6111yescharacteristic
469C2×C22⋊C4—21no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—21no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4C22⋊D6111yescharacteristic
476C2×C22⋊C4C22⋊D6111yescharacteristic
477C2×C42—1221no—
478C2×C42—1221no—
479C2×C42C22×D6111yescharacteristic
480C2×C42C22×D6111yescharacteristic
481#107—1222no—
482#107—2441no—
483C4⋊C8—2441no—
484#103—1222no—
485#103—1222no—
486#103—1222no—
487#103—1222no—
488#103—1222no—
489#103—2441no—
490#102—1222no—
491#102—2441no—
492C22⋊C8—1222no—
493C22⋊C8—2441no—
494#97—1222no—
495#95—21no—
496#95—21no—
497#95—1221no—
498#95—1221no—
499#95—1221no—
500#95—1221no—
501#95—1221no—
502#95C22⋊D6111yescharacteristic
503#95C22⋊D6111yescharacteristic
504C24—21no—
505C24C2×C22⋊D6111yescharacteristic
506C2×Q8—612no—
507C2×Q8—612no—
508C2×Q8—612no—
509C2×Q8—612no—
510C2×Q8—1224no—
511C2×Q8—1221no—
512C2×Q8—1221no—
513C2×Q8—1221no—
514C2×Q8—1221no—
515C2×Q8—1221no—
516C2×Q8—1221no—
517C2×Q8—1221no—
518C2×Q8—1221no—
519C2×Q8—2442no—
520C2×Q8—2442no—
521C2×Q8—2444no—
522C2×Q8—2444no—
523C2×Q8—2444no—
524C2×Q8—2444no—
525C2×D4—21no—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—42no—
531C2×D4—42no—
532C2×D4—81no—
533C2×D4D4×D6112yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—42no—
544C22×C4—42no—
545C22×C4—81no—
546C22×C4—1221no—
547C22×C4—1224no—
548C22×C4—1221no—
549C22×C4—1221no—
550C22×C4—1221no—
551C22×C4—2442no—
552C22×C4—2442no—
553C22×C4C2×C22⋊D6111yescharacteristic
554C22×C4C2×C22⋊D6111yescharacteristic
555C22×C4C2×C22⋊D6111yescharacteristic
556C22×C4C2×C22⋊D6111yescharacteristic
557C22×C4C2×C22⋊D6111yescharacteristic
558C22×C4C23×D6111yescharacteristic
559SD16—1228no—
560SD16—2444no—
561C2×C8—612no—
562C2×C8—1221no—
563C2×C8—1221no—
564C2×C8—1221no—
565C2×C8—1221no—
566C2×C8—1221no—
567C2×C8—1221no—
568C2×C8—1221no—
569C2×C8—1221no—
570C2×C8—1221no—
571C2×C8—1221no—
572C2×C8—1221no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—81no—
582C4⋊C4—1221no—
583C4⋊C4—1221no—
584C4⋊C4—1221no—
585C4⋊C4—1221no—
586C4⋊C4—2442no—
587C4⋊C4—2442no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—42no—
591C22⋊C4—42no—
592C22⋊C4—42no—
593C22⋊C4—42no—
594C22⋊C4—42no—
595C22⋊C4—2442no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—21no—
600C42—2442no—
601C42—2442no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—22no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23#1451980312yes—
616C23C22×C22⋊D6111yescharacteristic
617Q8—614no—
618Q8—1222no—
619Q8—1222no—
620Q8—1222no—
621Q8—1222no—
622Q8—1222no—
623Q8—2448no—
624Q8—2441no—
625Q8—2441no—
626D4—22no—
627D4—22no—
628D4—41no—
629D4—41no—
630D4—84no—
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—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—84no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—1222no—
663C2×C4—2448no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2441no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4#1451980712yes—
673C2×C4C2×D4×D6111yescharacteristic
674C2×C4#41×D6111yescharacteristic
675C2×C4#41×D6111yescharacteristic
676C2×C4#41×D6111yescharacteristic
677C2×C4#1451982211yescharacteristic
678C2×C4#1451982311yescharacteristic
679C8—1222no—
680C8—2441no—
681C8—2441no—
682C8—2441no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—81no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22#1684026911yescharacteristic
698C22D4×C22⋊D6111yescharacteristic
699C22#1684040011yescharacteristic
700C22C2×#1451980311yescharacteristic
701C22C2×#1451980711yescharacteristic
702C22#1684057311yescharacteristic
703C22#1684057711yescharacteristic
704C4—22no—
705C4—41no—
706C4—41no—
707C4—41no—
708C4—41no—
709C4—81no—
710C4—81no—
711C4—81no—
712C4—1224no—
713C4—4881no—
714C4—4881no—
715C4—2442no—
716C4#123×D6111yescharacteristic
717C4#1684034811yescharacteristic
718C4#1684040411yescharacteristic
719C4#1684044011yescharacteristic
720C2—42no—
721C2—82no—
722C2#2144927811yescharacteristic
723C2#2145593711yescharacteristic
724C2#2145604211yescharacteristic
725C2#2145731011yescharacteristic
726C2#2145746111yescharacteristic
727C2#2145780411yescharacteristic
728C2#2145798411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2422C2
socleC23×C61C22×D4
prime radicalC2×#121×C61C22
hypercenter#2422D61
hypocenterC61#24910
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2422

Complements

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

NH ≅ G/Ntype
2. C2×#16839862C2semidirect
3. C22⋊C4×Dic122C2semidirect
4. #21447358C2semidirect
5. #21447245C2semidirect
6. #21447136C2semidirect
8. #21446508C2semidirect
9. #21446434C2semidirect
10. #21446177C2semidirect
11. #21446153C2semidirect
12. #21446072C2semidirect
13. #21445821C2semidirect
14. #21445753C2semidirect
313. Dic122#123semidirect
425. C61#24910semidirect

Maximal subgroups

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

subgroupindex
C2×#168399002
C2×#168398622
C22⋊C4×Dic1222
#214473582
#214472452
#214471362
#214469982
#214465082
#214464342
#214461772
#214461532
#214460722
#214458212
#214457532
C61×#24222
#2491061