Finite Group Databasebeta

← #29729450

Subgroups — #29729450

Order 15616.

964 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840126C211yesmaximal, characteristic, complemented
2C2×#16840062C211yesmaximal, characteristic, complemented
3#21448913C211yesmaximal, characteristic, complemented
4#21447207C211yesmaximal, characteristic, complemented
5#21447193C211yesmaximal, characteristic, complemented
6#21447050C211yesmaximal, characteristic, complemented
7#21447050C211yesmaximal, characteristic, complemented
8#21446747C211yesmaximal, characteristic, complemented
9#21446747C211yesmaximal, characteristic, complemented
10#21446747C211yesmaximal, characteristic, complemented
11#21446543C211yesmaximal, characteristic, complemented
12#21446443C211yesmaximal, characteristic, complemented
13#21446436C211yesmaximal, characteristic, complemented
14#21445644C211yesmaximal, characteristic, complemented
15C61×#2541C211yesmaximal, characteristic
16C2×#14519769C2211yescharacteristic
17#16840126—24no—
18#16840062—24no—
19C2×#14519710C2211yescharacteristic
20C2×#14519708C2211yescharacteristic
21C2×C4⋊#92418C2211yescharacteristic
22C2×C4⋊#92418C2211yescharacteristic
23C2×C4⋊#92418C2211yescharacteristic
24C2×#14519698C2211yescharacteristic
25C2×#14519698C2211yescharacteristic
26C2×#14519698C2211yescharacteristic
27C2×#14519698C2211yescharacteristic
28C2×#14519698C2211yescharacteristic
29C2×#14519698C2211yescharacteristic
30C2×#14519698C2211yescharacteristic
31C2×#14519698C2211yescharacteristic
32C2×#14519698C2211yescharacteristic
33C2×#14519698C2211yescharacteristic
34C2×#14519698C2211yescharacteristic
35C2×#14519698C2211yescharacteristic
36C2×#14519688C2211yescharacteristic
37#16839660C2211yescharacteristic
38#16839660C2211yescharacteristic
39#16839657—21no—
40#16839644—21no—
41#16839643—21no—
42C4×C4⋊Dic61C2211yescharacteristic
43C4×C4⋊Dic61C2211yescharacteristic
44C4×C4⋊Dic61C2211yescharacteristic
45#16839613—21no—
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839517C2211yescharacteristic
49#16839517C2211yescharacteristic
50C2×#127×C61C2211yescharacteristic
51C2×#127×C61C2211yescharacteristic
52C2×#127×C61C2211yescharacteristic
53C2×#121×C61—21no—
54C2×#121×C61—21no—
55C2×C4×D4×C61C2211yescharacteristic
56C61×#392—21no—
57C61×#392—21no—
58C61×#390C2211yescharacteristic
59C61×#390C2211yescharacteristic
60C4×C4⋊C4×C61C2211yescharacteristic
61C22×#92418C2311yescharacteristic
62C22×#92418C2311yescharacteristic
63C22×#92418C2311yescharacteristic
64C22×#92418C2311yescharacteristic
65#14519769—22no—
66#14519769D414yescomplemented
67C2×C4⋊Dic61C2311yescharacteristic
68C2×C4⋊Dic61C2311yescharacteristic
69C2×C4⋊Dic61C2311yescharacteristic
70C2×C4⋊Dic61C2311yescharacteristic
71C2×#11758196—21no—
72C2×#11758196—21no—
73C2×#11758196—21no—
74C2×#11758196—21no—
75C2×C4×Dic61—21no—
76C2×C4×Dic61—21no—
77C2×C4×Dic61—21no—
78#14519710—22no—
79#14519708—22no—
80C4⋊#92418—22no—
81C4⋊#92418—41no—
82C4⋊#92418—41no—
83#14519698—22no—
84#14519698—22no—
85#14519698—22no—
86#14519698—22no—
87#14519698—22no—
88#14519698—22no—
89#14519698—22no—
90#14519698—22no—
91#14519698—22no—
92#14519698—22no—
93#14519698—41no—
94#14519698—41no—
95#14519688—22no—
96#14519684—21no—
97#14519684—21no—
98#14519684—21no—
99#14519684—21no—
100#14519684—21no—
101C22×D4×C61—21no—
102C22×D4×C61—21no—
103C22×D4×C61—21no—
104C22×D4×C61—21no—
105C22×D4×C61—21no—
106C22×D4×C61—21no—
107C22×D4×C61C2311yescharacteristic
108C22×D4×C61C2311yescharacteristic
109C22×D4×C61C2311yescharacteristic
110C23×C4×C61—21no—
111#127×C61—22no—
112#127×C61—22no—
113#127×C61—22no—
114#127×C61—22no—
115#127×C61—41no—
116#127×C61—41no—
117#121×C61—44no—
118#121×C61—44no—
119C4×D4×C61—22no—
120C4×D4×C61—22no—
121C2×C4⋊C4×C61D411yescharacteristic
122C2×C4⋊C4×C61D411yescharacteristic
123C2×C4⋊C4×C61C2311yescharacteristic
124C2×C22⋊C4×C61—21no—
125C2×C22⋊C4×C61—21no—
126C2×C22⋊C4×C61—21no—
127C2×C22⋊C4×C61—21no—
128C2×C22⋊C4×C61—21no—
129C2×C42×C61C2311yescharacteristic
130C2×C42×C61C2311yescharacteristic
131C2×C42×C61C2311yescharacteristic
132#95×C61D411yescharacteristic
133#95×C61D411yescharacteristic
134C24×C61—21no—
135C24×C61—21no—
136C24×C61—21no—
137C2×D4×C61—21no—
138C2×D4×C61—21no—
139C2×D4×C61—21no—
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61—21no—
144C2×D4×C61—21no—
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61—21no—
148C2×D4×C61—21no—
149C2×D4×C61—21no—
150C2×D4×C61—21no—
151C2×D4×C61—21no—
152C2×D4×C61—21no—
153C2×D4×C61—21no—
154C2×D4×C61—42no—
155C2×D4×C61—42no—
156C2×D4×C61—42no—
157C2×D4×C61—42no—
158C2×D4×C61—42no—
159C2×D4×C61—42no—
160C2×D4×C61—42no—
161C2×D4×C61—42no—
162C2×D4×C61—42no—
163C2×D4×C61—42no—
164C2×D4×C61—42no—
165C2×D4×C61—42no—
166C2×D4×C61—81no—
167C2×D4×C61—81no—
168C2×D4×C61—81no—
169C2×D4×C61—81no—
170C2×D4×C61—81no—
171C2×D4×C61—81no—
172C2×D4×C61#4112yes—
173C22×C4×C61—21no—
174C22×C4×C61—42no—
175C22×C4×C61—42no—
176C22×C4×C61—42no—
177C22×C4×C61C2×D411yescharacteristic
178C22×C4×C61C2×D411yescharacteristic
179C22×C4×C61C2×D411yescharacteristic
180C22×C4×C61C2×D411yescharacteristic
181C22×C4×C61C2×D411yescharacteristic
182C22×C4×C61C2×D411yescharacteristic
183C22×C4×C61C2411yescharacteristic
184C22×Dic61—21no—
185C22×Dic61—21no—
186C22×Dic61—21no—
187C22×Dic61—21no—
188C4⋊C4×C61—22no—
189C4⋊C4×C61—22no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C22⋊C4×C61—42no—
193C22⋊C4×C61—42no—
194C22⋊C4×C61—42no—
195C22⋊C4×C61—42no—
196C22⋊C4×C61—42no—
197C42×C61—21no—
198C42×C61—21no—
199C42×C61—21no—
200C42×C61—21no—
201C42×C61C2×D412yes—
202C42×C61#4112yes—
203C4⋊Dic61—21no—
204C4⋊Dic61—21no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61C2×D412yes—
209C4⋊Dic61C2×D412yes—
210C4⋊Dic61#4112yes—
211#11758196—24no—
212#11758196—24no—
213#11758196—42no—
214#11758196—81no—
215C4×Dic61—42no—
216C4×Dic61—81no—
217C4×Dic61—81no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418—21no—
221C2×#92418—21no—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C23×C61—22no—
231C23×C61—41no—
232C23×C61—41no—
233C23×C61—41no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61—41no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61—41no—
248C23×C61—41no—
249C23×C61—41no—
250C23×C61—41no—
251C23×C61C22×D411yescharacteristic
252D4×C61—22no—
253D4×C61—22no—
254D4×C61—41no—
255D4×C61—41no—
256D4×C61—41no—
257D4×C61—41no—
258D4×C61—41no—
259D4×C61—41no—
260D4×C61—41no—
261D4×C61—41no—
262D4×C61—41no—
263D4×C61—41no—
264D4×C61—84no—
265D4×C61—84no—
266D4×C61—84no—
267D4×C61—84no—
268D4×C61—84no—
269D4×C61—84no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—21no—
273C2×C4×C61—21no—
274C2×C4×C61—21no—
275C2×C4×C61—21no—
276C2×C4×C61—21no—
277C2×C4×C61—21no—
278C2×C4×C61—21no—
279C2×C4×C61—21no—
280C2×C4×C61—21no—
281C2×C4×C61—21no—
282C2×C4×C61—21no—
283C2×C4×C61—21no—
284C2×C4×C61—41no—
285C2×C4×C61—41no—
286C2×C4×C61—41no—
287C2×C4×C61—84no—
288C2×C4×C61#12112yes—
289C2×C4×C61#12112yes—
290C2×C4×C61AGL(1,ℤ/8)12yes—
291C2×C4×C61AGL(1,ℤ/8)12yes—
292C2×C4×C61C22×D411yescharacteristic
293C2×C4×C61C2×#4111yescharacteristic
294C2×C4×C61C2×#4111yescharacteristic
295C2×C4×C61C2×#4111yescharacteristic
296C2×C4×C61H(5,𝔽2)11yescharacteristic
297C2×C4×C612−1+411yescharacteristic
298C2×Dic61—22no—
299C2×Dic61—22no—
300C2×Dic61—22no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61—41no—
307C2×Dic61—41no—
308C2×Dic61—41no—
309C2×Dic61—41no—
310#92418—41no—
311#92418—41no—
312#92418—41no—
313#92418—41no—
314#25288—611nomaximal, Sylow
315C22×C61—42no—
316C22×C61—42no—
317C22×C61—42no—
318C22×C61—81no—
319C22×C61—81no—
320C22×C61—81no—
321C22×C61—81no—
322C22×C61—81no—
323C22×C61—81no—
324C22×C61—81no—
325C22×C61—81no—
326C22×C61—81no—
327C22×C61—81no—
328C22×C61—81no—
329C22×C61—81no—
330C22×C61—81no—
331C22×C61—81no—
332C22×C61—81no—
333C22×C61—81no—
334C22×C61—81no—
335C22×C61—81no—
336C22×C61C2×#12111yescharacteristic
337C22×C61#54611yescharacteristic
338C22×C61#54811yescharacteristic
339C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
340C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
341C22×C61#57611yescharacteristic
342C22×C61#57711yescharacteristic
343C4×C61—22no—
344C4×C61—22no—
345C4×C61—22no—
346C4×C61—22no—
347C4×C61—41no—
348C4×C61—41no—
349C4×C61—81no—
350C4×C61#52911yescharacteristic
351C4×C61#54211yescharacteristic
352C4×C61#54811yescharacteristic
353C4×C61#55011yescharacteristic
354Dic61—42no—
355Dic61—42no—
356Dic61—42no—
357Dic61—81no—
358C2×#490—611no—
359C2×#478—611no—
360#2541D6111yescharacteristic
361#2370—611no—
362#2067—611no—
363#2065—611no—
364#2041—611no—
365#2041—611no—
366#1982—611no—
367#1982—611no—
368#1982—611no—
369#1940—611no—
370#1926—611no—
371#1925—611no—
372#1762—611no—
373C2×C61—82no—
374C2×C61—161no—
375C2×C61—161no—
376C2×C61#242611yescharacteristic
377C2×C61#303811yescharacteristic
378C2×C61#304511yescharacteristic
379C2×C61#331011yescharacteristic
380C2×C61#331811yescharacteristic
381C2×C61#336611yescharacteristic
382C2×C61#336811yescharacteristic
383C2×#127C2×D6111yescharacteristic
384C2×#127C2×D6111yescharacteristic
385C2×#127C2×D6111yescharacteristic
386C2×#125—611no—
387C2×#121—21no—
388C2×#121—21no—
389C2×C4×D4C2×D6111yescharacteristic
390#490—1224no—
391#478—1224no—
392C2×#107—611no—
393C2×#106—611no—
394C2×C4⋊C8—611no—
395C2×C4⋊C8—611no—
396C2×C4⋊C8—611no—
397C2×#102—611no—
398C2×#102—611no—
399C2×#102—611no—
400C2×#102—611no—
401C2×#102—611no—
402C2×#102—611no—
403C2×#102—611no—
404C2×#102—611no—
405C2×#102—611no—
406C2×#102—611no—
407C2×#102—611no—
408C2×#102—611no—
409C2×#97—611no—
410#392—21no—
411#392—21no—
412#390C2×D6111yescharacteristic
413#390C2×D6111yescharacteristic
414#389—611no—
415#389—611no—
416#389—1221no—
417#387—1221no—
418#387—1221no—
419C4×C4⋊C4—611no—
420C4×C4⋊C4—611no—
421C4×C4⋊C4—611no—
422C4×C4⋊C4—1221no—
423C4×C4⋊C4C2×D6111yescharacteristic
424#340—611no—
425#340—611no—
426#336—611no—
427#336—611no—
428C61#2528811yescharacteristic, complemented, Sylow
429C22×D4—21no—
430C22×D4—21no—
431C22×D4—21no—
432C22×D4—21no—
433C22×D4—21no—
434C22×D4—21no—
435C22×D4C22×D6111yescharacteristic
436C22×D4C22×D6111yescharacteristic
437C22×D4C22×D6111yescharacteristic
438C23×C4—21no—
439C22×C8—611no—
440C22×C8—611no—
441C22×C8—611no—
442C22×C8—611no—
443#127—22no—
444#127—22no—
445#127—22no—
446#127—22no—
447#127—41no—
448#127—41no—
449#125—614no—
450#125—1222no—
451#121—44no—
452#121—44no—
453C4×D4—22no—
454C4×D4—22no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—611no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4C22⋊D6111yescharacteristic
464C2×C4⋊C4C22⋊D6111yescharacteristic
465C2×C4⋊C4C22×D6111yescharacteristic
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—21no—
470C2×C22⋊C4—21no—
471C2×C42—1221no—
472C2×C42—1221no—
473C2×C42—1221no—
474C2×C42C22×D6111yescharacteristic
475C2×C42C22×D6111yescharacteristic
476C2×C42C22×D6111yescharacteristic
477#107—1222no—
478#106—1222no—
479C4⋊C8—1222no—
480C4⋊C8—2441no—
481C4⋊C8—2441no—
482#102—1222no—
483#102—1222no—
484#102—1222no—
485#102—1222no—
486#102—1222no—
487#102—1222no—
488#102—1222no—
489#102—1222no—
490#102—1222no—
491#102—1222no—
492#102—2441no—
493#102—2441no—
494#97—1222no—
495#95—1221no—
496#95—1221no—
497#95—1221no—
498#95—1221no—
499#95—1221no—
500#95C22⋊D6111yescharacteristic
501#95C22⋊D6111yescharacteristic
502C24—21no—
503C24—21no—
504C24—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—42no—
523C2×D4—42no—
524C2×D4—42no—
525C2×D4—42no—
526C2×D4—42no—
527C2×D4—42no—
528C2×D4—42no—
529C2×D4—42no—
530C2×D4—42no—
531C2×D4—42no—
532C2×D4—42no—
533C2×D4—42no—
534C2×D4—81no—
535C2×D4—81no—
536C2×D4—81no—
537C2×D4—81no—
538C2×D4—81no—
539C2×D4—81no—
540C2×D4#1175822412yes—
541C22×C4—21no—
542C22×C4—42no—
543C22×C4—42no—
544C22×C4—42no—
545C22×C4—1221no—
546C22×C4—1221no—
547C22×C4—1221no—
548C22×C4—1221no—
549C22×C4C2×C22⋊D6111yescharacteristic
550C22×C4C2×C22⋊D6111yescharacteristic
551C22×C4C2×C22⋊D6111yescharacteristic
552C22×C4C2×C22⋊D6111yescharacteristic
553C22×C4C2×C22⋊D6111yescharacteristic
554C22×C4C2×C22⋊D6111yescharacteristic
555C22×C4C23×D6111yescharacteristic
556C2×C8—1221no—
557C2×C8—1221no—
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—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—612no—
573C4⋊C4—612no—
574C4⋊C4—612no—
575C4⋊C4—1221no—
576C4⋊C4—1221no—
577C4⋊C4—1221no—
578C4⋊C4—1224no—
579C4⋊C4—1224no—
580C4⋊C4—1221no—
581C4⋊C4—1221no—
582C4⋊C4—4881no—
583C4⋊C4—2442no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C22⋊C4—42no—
587C22⋊C4—42no—
588C22⋊C4—42no—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—21no—
593C42—4881no—
594C42—4881no—
595C42—2442no—
596C42D4×D6112yes—
597C42#1175822412yes—
598C23—22no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23C22×C22⋊D6111yescharacteristic
620D4—22no—
621D4—22no—
622D4—41no—
623D4—41no—
624D4—41no—
625D4—41no—
626D4—41no—
627D4—41no—
628D4—41no—
629D4—41no—
630D4—41no—
631D4—41no—
632D4—84no—
633D4—84no—
634D4—84no—
635D4—84no—
636D4—84no—
637D4—84no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—84no—
656C2×C4—1222no—
657C2×C4—1222no—
658C2×C4—1222no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4#1451974812yes—
669C2×C4#1451974812yes—
670C2×C4#1451980312yes—
671C2×C4#1451980312yes—
672C2×C4C2×D4×D6111yescharacteristic
673C2×C4#41×D6111yescharacteristic
674C2×C4C2×#1175822411yescharacteristic
675C2×C4C2×#1175822411yescharacteristic
676C2×C4#1451982211yescharacteristic
677C2×C4#1451982411yescharacteristic
678C8—2441no—
679C8—2441no—
680C8—2441no—
681C8—2441no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22—81no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22—81no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22—81no—
698C22—81no—
699C22—81no—
700C22—81no—
701C22—81no—
702C22—81no—
703C22C2×#1451974811yescharacteristic
704C22#1684040611yescharacteristic
705C22#1684041911yescharacteristic
706C22C2×#1451980311yescharacteristic
707C22C2×#1451980311yescharacteristic
708C22#1684056511yescharacteristic
709C22#1684057311yescharacteristic
710C4—22no—
711C4—22no—
712C4—22no—
713C4—22no—
714C4—41no—
715C4—41no—
716C4—81no—
717C4—4881no—
718C4—2442no—
719C4—2442no—
720C4—2442no—
721C4#1684029311yescharacteristic
722C4#1684037911yescharacteristic
723C4#1684041811yescharacteristic
724C4#1684043011yescharacteristic
725C2—82no—
726C2—161no—
727C2—161no—
728C2#2144938111yescharacteristic
729C2#2145529511yescharacteristic
730C2#2145535411yescharacteristic
731C2#2145784011yescharacteristic
732C2#2145796011yescharacteristic
733C2#2145852211yescharacteristic
734C2#2145854411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
Fitting, prime radicalC61×#2541C2
socleC23×C61C22×D4
hypercenter#2541D61
hypocenterC61#25288
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ #2541

Complements

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

NH ≅ G/Ntype
1. C2×#16840126C2semidirect
2. C2×#16840062C2semidirect
3. #21448913C2semidirect
4. #21447207C2semidirect
5. #21447193C2semidirect
6. #21447050C2semidirect
7. #21447050C2semidirect
8. #21446747C2semidirect
9. #21446747C2semidirect
10. #21446747C2semidirect
11. #21446543C2semidirect
12. #21446443C2semidirect
13. #21446436C2semidirect
14. #21445644C2semidirect
66. #14519769D4semidirect
428. C61#25288semidirect

Maximal subgroups

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

subgroupindex
C2×#168401262
C2×#168400622
#214489132
#214472072
#214471932
#214470502
#214467472
#214465432
#214464432
#214464362
#214456442
C61×#25412
#2528861