Finite Group Databasebeta

← #30620595

Subgroups — #30620595

Order 15616.

1206 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462327C211yesmaximal, characteristic, complemented
2D4×C22⋊#6923C211yesmaximal, characteristic
3#21461911C212yesmaximal, complemented
4#21461897C212yesmaximal, complemented
5#21461784C212yesmaximal, complemented
6#21461722C211yesmaximal, characteristic, complemented
7#21461695C211yesmaximal, characteristic, complemented
8#21461657C211yesmaximal, characteristic
9#21461590C212yesmaximal, complemented
10#21461555C211yesmaximal, characteristic, complemented
11C2×#102×D61C211yesmaximal, characteristic
12C2×D4×#6923C2212yes—
13C2×#14519856—21no—
14C22×C22⋊#6923—21no—
15C2×#14519845C2212yescomplemented
16C2×#14519839C2212yes—
17C2×#14519839C2212yes—
18D61⋊(C22⋊C8)C2211yescharacteristic
19C2×#14519831C2212yescomplemented
20#16840714C2212yes—
21#16840713C2212yescomplemented
22#16840711—22no—
23#16840710—22no—
24#16840705—21no—
25#16840704C2211yescharacteristic
26#16840704C2211yescharacteristic
27#16840703—21no—
28C4⋊C4×#6923C2212yescomplemented
29C4×C22⋊#6923C2211yescharacteristic
30#16840636C2212yescomplemented
31#16840635C2212yescomplemented
32#16840635C2212yescomplemented
33(C2×#6923)⋊C8C2212yescomplemented
34C22×D4×D61C2211yescharacteristic
35C22×C8×D61C2211yescharacteristic
36C2×C4⋊C4×D61C2211yescharacteristic
37C2×#14519699C411yescharacteristic, complemented
38C2×#14519698C411yescharacteristic, complemented
39C2×#14519697C411yescharacteristic, complemented
40#102×D61C411yescharacteristic, complemented
41#102×D61C411yescharacteristic, complemented
42#102×D61C411yescharacteristic, complemented
43#102×D61C411yescharacteristic, complemented
44#102×D61C2211yescharacteristic
45#102×D61C2211yescharacteristic
46#102×D61C2211yescharacteristic
47#102×D61C2211yescharacteristic
48C2×#102×C61C411yescharacteristic, complemented
49C23×#6923—22no—
50C2×D61⋊C8C2312yes—
51D4×#6923—24no—
52D4×#6923—42no—
53#14519856—44no—
54C2×C4⋊#6923—22no—
55C2×C4⋊#6923C2312yes—
56C2×C4⋊#6923C2312yes—
57C2×C22⋊#6923—21no—
58C2×C22⋊#6923—21no—
59C2×C22⋊#6923—22no—
60C2×C22⋊#6923—22no—
61C2×C22⋊#6923—22no—
62C2×C22⋊#6923—44no—
63C2×C22⋊#6923D411yescharacteristic
64C2×C22⋊#6923D411yescharacteristic
65C2×C4×#6923—22no—
66C2×C4×#6923C2312yes—
67#14519845—42no—
68#14519839—24no—
69#14519839—42no—
70#14519834—21no—
71C22⋊#92420—21no—
72#14519831—42no—
73(C2×#6923)⋊C4—22no—
74(C2×#6923)⋊C4—22no—
75(C2×#6923)⋊C4—21no—
76(C2×#6923)⋊C4—21no—
77(C2×#6923)⋊C4D412yes—
78C24×D61—21no—
79C22×D244C2×C411yescharacteristic
80C22×C22⋊D61—21no—
81C2×D4×D61—24no—
82C2×D4×D61—21no—
83C2×D4×D61—21no—
84C2×D4×D61—42no—
85C2×D4×D61C2×C411yescharacteristic
86C2×D4×D61C2×C411yescharacteristic
87C2×D4×D61C2311yescharacteristic
88C2×D4×D61C2311yescharacteristic
89C22×C4×D61—21no—
90C22×C4×D61C2311yescharacteristic
91C22×#92418C2×C411yescharacteristic, complemented
92C2×C8×D61—42no—
93C2×C8×D61C2×C411yescharacteristic, complemented
94C2×C8×D61C2×C411yescharacteristic, complemented
95C2×C8×D61C2311yescharacteristic
96C2×C8×D61C2311yescharacteristic
97C2×C4⋊Dic61C2×C411yescharacteristic, complemented
98C2×#11758196—21no—
99C4⋊C4×D61—21no—
100C4⋊C4×D61—21no—
101C4⋊C4×D61C2×C411yescharacteristic, complemented
102C4⋊C4×D61C2×C411yescharacteristic, complemented
103C4⋊C4×D61C2311yescharacteristic
104C4⋊C4×D61C2311yescharacteristic
105#14519699C2×C411yescharacteristic
106#14519699C2×C411yescharacteristic
107#14519699C2×C411yescharacteristic, complemented
108#14519699C2×C411yescharacteristic, complemented
109#14519698C2×C411yescharacteristic
110#14519698C2×C411yescharacteristic
111#14519698C2×C411yescharacteristic, complemented
112#14519698C2×C411yescharacteristic, complemented
113#14519697C2×C411yescharacteristic
114#14519697C2×C411yescharacteristic
115#14519697C2×C411yescharacteristic, complemented
116#14519697C2×C411yescharacteristic, complemented
117C22×D4×C61C2×C411yescharacteristic
118C22×C8×C61C2×C411yescharacteristic, complemented
119C2×C4⋊C4×C61C2×C411yescharacteristic, complemented
120#102×C61C2×C411yescharacteristic
121#102×C61C2×C411yescharacteristic
122#102×C61C2×C411yescharacteristic, complemented
123#102×C61C2×C411yescharacteristic, complemented
124C24×C61—21no—
125C23×D61—21no—
126C23×D61—21no—
127C23×D61—21no—
128C23×D61—21no—
129C23×D61—21no—
130C23×D61—44no—
131C23×D61—42no—
132C23×D61—42no—
133C23×D61—82no—
134C23×D61C2×D411yescharacteristic
135C22×#6923—22no—
136C22×#6923—22no—
137C22×#6923—44no—
138C22×#6923—44no—
139C22×#6923—82no—
140C22×#6923C2×D412yes—
141C22×#6923C2×D412yes—
142C2×D4×C61—22no—
143C2×D4×C61—21no—
144C2×D4×C61—41no—
145C2×D4×C61C22×C411yescharacteristic
146C2×D4×C61C22×C411yescharacteristic
147C22×C4×C61—21no—
148C22×C4×C61C22×C411yescharacteristic
149C2×C22⋊D61—21no—
150C2×C22⋊D61—21no—
151C2×C22⋊D61—21no—
152C2×C22⋊D61—21no—
153C2×C22⋊D61—44no—
154C22×Dic61—21no—
155C22×Dic61#4111yescharacteristic
156D4×D61—22no—
157D4×D61—22no—
158D4×D61—22no—
159D4×D61—22no—
160D4×D61—22no—
161D4×D61—41no—
162D4×D61—41no—
163D4×D61—44no—
164D4×D61—44no—
165D4×D61#4114yes—
166C2×D244—22no—
167C2×D244—21no—
168C2×D244—41no—
169C2×D244C22×C411yescharacteristic
170C2×D244C22×C411yescharacteristic
171C2×C4×D61—22no—
172C2×C4×D61—22no—
173C2×C4×D61—21no—
174C2×C4×D61—21no—
175C2×C4×D61—21no—
176C2×C4×D61—21no—
177C2×C4×D61—42no—
178C2×C4×D61—42no—
179C2×C4×D61C22×C411yescharacteristic
180C2×C4×D61C2×D411yescharacteristic
181C2×C4×D61#4111yescharacteristic
182C2×C4×D61C2411yescharacteristic
183C22⋊#6923—22no—
184C22⋊#6923—22no—
185C22⋊#6923—44no—
186C22⋊#6923—44no—
187C22⋊#6923—42no—
188C22⋊#6923—42no—
189C22⋊#6923—82no—
190C2×#92420—22no—
191C4⋊#6923—22no—
192C4⋊#6923—22no—
193C4⋊#6923—22no—
194C4⋊#6923—22no—
195C4⋊#6923—44no—
196C4×#6923—22no—
197C4×#6923—22no—
198C4×#6923—44no—
199D61⋊C8—22no—
200D61⋊C8—22no—
201C2×C8×C61—41no—
202C2×C8×C61C22×C411yescharacteristic
203C2×C8×C61C22×C411yescharacteristic
204C4⋊C4×C61—21no—
205C4⋊C4×C61C22×C411yescharacteristic
206C4⋊C4×C61C22×C411yescharacteristic
207C4⋊Dic61—21no—
208C4⋊Dic61C22×C411yescharacteristic
209C4⋊Dic61C22×C411yescharacteristic
210#11758196—21no—
211#11758196—21no—
212#11758196—21no—
213#11758196—21no—
214C2×#92418—41no—
215C2×#92418C22×C411yescharacteristic
216C2×#92418C22×C411yescharacteristic
217C8×D61—22no—
218C8×D61—22no—
219C8×D61—41no—
220C8×D61—41no—
221C23×C61—21no—
222C23×C61—21no—
223C23×C61—42no—
224C23×C61—42no—
225C23×C61—81no—
226C23×C61C4×D411yescharacteristic
227C22×D61—22no—
228C22×D61—22no—
229C22×D61—21no—
230C22×D61—24no—
231C22×D61—21no—
232C22×D61—42no—
233C22×D61—42no—
234C22×D61—42no—
235C22×D61—41no—
236C22×D61—41no—
237C22×D61—42no—
238C22×D61—42no—
239C22×D61—42no—
240C22×D61—41no—
241C22×D61—41no—
242C22×D61—42no—
243C22×D61—42no—
244C22×D61—42no—
245C22×D61—81no—
246C22×D61—81no—
247C22×D61—88no—
248C22×D61—88no—
249C22×D61—81no—
250C22×D61C4×D411yescharacteristic
251C22×D61AGL(1,ℤ/8)12yes—
252C22×D61AGL(1,ℤ/8)12yes—
253C22×D61C22×D411yescharacteristic
254C2×#6923—22no—
255C2×#6923—22no—
256C2×#6923—22no—
257C2×#6923—22no—
258C2×#6923—22no—
259C2×#6923—22no—
260C2×#6923—42no—
261C2×#6923—42no—
262C2×#6923—42no—
263C2×#6923—42no—
264C2×#6923—42no—
265C2×#6923—42no—
266C2×#6923—88no—
267D4×C61—21no—
268D4×C61—21no—
269D4×C61—21no—
270D4×C61—42no—
271D4×C61#11712yescomplemented
272C2×C4×C61—21no—
273C2×C4×C61—21no—
274C2×C4×C61—21no—
275C2×C4×C61—21no—
276C2×C4×C61—42no—
277C2×C4×C61C4×D411yescharacteristic
278C2×C4×C61C23×C411yescharacteristic
279C22⋊D61—24no—
280C22⋊D61—42no—
281C22⋊D61—42no—
282C22⋊D61—42no—
283C2×Dic61—22no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—42no—
287C2×Dic61C4×D411yescharacteristic
288C2×Dic61C2×#4111yescharacteristic
289D244—21no—
290D244—21no—
291D244—21no—
292D244—42no—
293D244#11712yescomplemented
294C4×D61—22no—
295C4×D61—21no—
296C4×D61—21no—
297C4×D61—22no—
298C4×D61—41no—
299C4×D61—41no—
300C4×D61—41no—
301C4×D61—41no—
302C4×D61—42no—
303C4×D61—42no—
304C4×D61C2×#4112yes—
305C4×D61H(5,𝔽2)12yes—
306#92420—42no—
307C8×C61—21no—
308C8×C61—21no—
309#92418—21no—
310#92418—21no—
311#22562—611nomaximal, Sylow
312C22×C61—21no—
313C22×C61—21no—
314C22×C61—22no—
315C22×C61—41no—
316C22×C61—41no—
317C22×C61—41no—
318C22×C61—41no—
319C22×C61—41no—
320C22×C61—84no—
321C22×C61#44212yes—
322C22×C61C2×C4×D411yescharacteristic
323C2×D61—21no—
324C2×D61—21no—
325C2×D61—24no—
326C2×D61—24no—
327C2×D61—22no—
328C2×D61—41no—
329C2×D61—41no—
330C2×D61—44no—
331C2×D61—44no—
332C2×D61—41no—
333C2×D61—41no—
334C2×D61—41no—
335C2×D61—84no—
336C2×D61—84no—
337C2×D61—84no—
338C2×D61—82no—
339C2×D61—82no—
340C2×D61#44212yes—
341C2×D61#54612yes—
342C2×D61C2×AGL(1,ℤ/8)11yescharacteristic
343C2×D61C2×AGL(1,ℤ/8)11yescharacteristic
344C2×D61#57712yes—
345#6923—42no—
346#6923—42no—
347#6923—82no—
348#6923—82no—
349C4×C61—21no—
350C4×C61—41no—
351C4×C61—41no—
352C4×C61C2×#11711yescharacteristic
353C4×C61#51811yescharacteristic
354Dic61—21no—
355Dic61—41no—
356Dic61—41no—
357Dic61#55112yes—
358C22×#102—611no—
359#2344—611no—
360D4×C22⋊C4—611no—
361#1936—612no—
362#1926—612no—
363#1864—612no—
364#1823—611no—
365#1807—611no—
366#1786—611no—
367#1762—612no—
368#1752—611no—
369C2×C61—22no—
370C2×C61—42no—
371C2×C61—81no—
372C2×C61#234211yescharacteristic
373C2×C61C2×#44211yescharacteristic
374C2×C61#294911yescharacteristic
375D61—22no—
376D61—42no—
377D61—81no—
378D61#330612yes—
379D61#331012yes—
380C23×D4—611no—
381C23×C8—611no—
382C2×C4×D4—612no—
383C2×#117—1221no—
384C22×C4⋊C4—611no—
385C22×C22⋊C4—1221no—
386C2×#106—612no—
387C2×#102—611no—
388C2×#102—611no—
389C2×#102—611no—
390C2×#102—611no—
391C2×#102—611no—
392C2×#102—611no—
393C2×#102—611no—
394C2×#102—611no—
395C2×#102—611no—
396C2×#102—611no—
397C2×#102—611no—
398C2×#102—612no—
399C2×#102—612no—
400C2×#102#692311yescharacteristic, complemented
401C2×C22⋊C8—611no—
402C2×#97—612no—
403#390—612no—
404#389—612no—
405#387—1222no—
406#386—1222no—
407#381—1221no—
408#380—611no—
409#380—611no—
410#379—1221no—
411C4×C4⋊C4—612no—
412C4×C22⋊C4—611no—
413#340—612no—
414#340—612no—
415#340—612no—
416#336—612no—
417C61#2256211yescharacteristic, complemented, Sylow
418C25—1221no—
419C22×D4—611no—
420C22×D4—611no—
421C22×D4—611no—
422C22×D4—611no—
423C22×D4—611no—
424C22×D4—1221no—
425C22×D4—1221no—
426C22×D4—1221no—
427C22×D4—1224no—
428C22×D4—2442no—
429C22×D4C2×#692311yescharacteristic
430C23×C4—611no—
431C23×C4—1221no—
432C23×C4—1222no—
433C22×C8—611no—
434C22×C8—611no—
435C22×C8—611no—
436C22×C8—611no—
437C22×C8—611no—
438C22×C8—612no—
439C22×C8—2442no—
440C22×C8C2×#692311yescharacteristic, complemented
441C4×D4—1224no—
442C4×D4—2442no—
443#117—2444no—
444C2×C4⋊C4—611no—
445C2×C4⋊C4—611no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4—611no—
448C2×C4⋊C4—611no—
449C2×C4⋊C4—612no—
450C2×C4⋊C4—612no—
451C2×C4⋊C4—1221no—
452C2×C4⋊C4—1221no—
453C2×C4⋊C4—1221no—
454C2×C4⋊C4—1222no—
455C2×C4⋊C4C2×#692311yescharacteristic, complemented
456C2×C22⋊C4—611no—
457C2×C22⋊C4—611no—
458C2×C22⋊C4—1222no—
459C2×C22⋊C4—1222no—
460C2×C22⋊C4—1222no—
461C2×C22⋊C4—1221no—
462C2×C22⋊C4—1221no—
463C2×C22⋊C4—2444no—
464C2×C42—612no—
465C2×C42—1222no—
466#106—2442no—
467#102—611no—
468#102—611no—
469#102—611no—
470#102—611no—
471#102—611no—
472#102—611no—
473#102—611no—
474#102—611no—
475#102—611no—
476#102—611no—
477#102—611no—
478#102—611no—
479#102—1224no—
480#102—2442no—
481#102C2×#692311yescharacteristic
482#102C2×#692311yescharacteristic
483#102C2×#692311yescharacteristic, complemented
484#102C2×#692311yescharacteristic, complemented
485C22⋊C8—1221no—
486C22⋊C8—1221no—
487#97—2442no—
488#95—612no—
489#95—1222no—
490#95—1221no—
491#95—1221no—
492#95—1222no—
493C24—21no—
494C24—611no—
495C24—1221no—
496C24—1221no—
497C24—1221no—
498C24—1221no—
499C24—1221no—
500C24—4882no—
501C24—2442no—
502C24—2442no—
503C24—2444no—
504C2×D4—22no—
505C2×D4—21no—
506C2×D4—41no—
507C2×D4—614no—
508C2×D4—611no—
509C2×D4—611no—
510C2×D4—1222no—
511C2×D4—1222no—
512C2×D4—1222no—
513C2×D4—1222no—
514C2×D4—1221no—
515C2×D4—1221no—
516C2×D4—1221no—
517C2×D4—1221no—
518C2×D4—1222no—
519C2×D4—1222no—
520C2×D4—1221no—
521C2×D4—2441no—
522C2×D4—2441no—
523C2×D4—2441no—
524C2×D4—2444no—
525C2×D4—2444no—
526C2×D4—2444no—
527C2×D4C22×#692311yescharacteristic
528C2×D4C22×#692311yescharacteristic
529C22×C4—21no—
530C22×C4—611no—
531C22×C4—611no—
532C22×C4—611no—
533C22×C4—611no—
534C22×C4—611no—
535C22×C4—612no—
536C22×C4—612no—
537C22×C4—1222no—
538C22×C4—1222no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—1222no—
545C22×C4—1222no—
546C22×C4—4882no—
547C22×C4—2442no—
548C22×C4—2442no—
549C22×C4—2444no—
550C22×C4—2444no—
551C22×C4C22×#692311yescharacteristic
552C2×C8—41no—
553C2×C8—611no—
554C2×C8—611no—
555C2×C8—1222no—
556C2×C8—1222no—
557C2×C8—1222no—
558C2×C8—1222no—
559C2×C8—1222no—
560C2×C8—2441no—
561C2×C8—2441no—
562C2×C8—2441no—
563C2×C8C22×#692311yescharacteristic
564C2×C8C22×#692311yescharacteristic
565C4⋊C4—21no—
566C4⋊C4—611no—
567C4⋊C4—611no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—1221no—
572C4⋊C4—1222no—
573C4⋊C4—1222no—
574C4⋊C4—1222no—
575C4⋊C4—1222no—
576C4⋊C4—1221no—
577C4⋊C4—2444no—
578C4⋊C4C22×#692311yescharacteristic
579C4⋊C4C22×#692311yescharacteristic
580C22⋊C4—1222no—
581C22⋊C4—1222no—
582C22⋊C4—4882no—
583C22⋊C4—2444no—
584C22⋊C4—2444no—
585C22⋊C4—2442no—
586C22⋊C4—2442no—
587C42—1222no—
588C42—1222no—
589C42—2444no—
590C23—21no—
591C23—21no—
592C23—42no—
593C23—42no—
594C23—81no—
595C23—611no—
596C23—612no—
597C23—612no—
598C23—611no—
599C23—1222no—
600C23—1222no—
601C23—1224no—
602C23—1221no—
603C23—1221no—
604C23—4881no—
605C23—4881no—
606C23—4881no—
607C23—4888no—
608C23—4888no—
609C23—2442no—
610C23—2442no—
611C23—2442no—
612C23—2441no—
613C23—2442no—
614C23—2442no—
615C23—2441no—
616C23—2442no—
617C23—2442no—
618C23—2441no—
619C23—2441no—
620C23—2442no—
621C23—2442no—
622C23D4×#692311yescharacteristic
623D4—21no—
624D4—21no—
625D4—21no—
626D4—42no—
627D4—612no—
628D4—1224no—
629D4—1221no—
630D4—1221no—
631D4—1221no—
632D4—2442no—
633D4—2442no—
634D4—2442no—
635D4—2442no—
636D4#1451985612yescomplemented
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—42no—
642C2×C4—611no—
643C2×C4—612no—
644C2×C4—612no—
645C2×C4—611no—
646C2×C4—1222no—
647C2×C4—1222no—
648C2×C4—1222no—
649C2×C4—1221no—
650C2×C4—1221no—
651C2×C4—1222no—
652C2×C4—1222no—
653C2×C4—1222no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—1221no—
658C2×C4—1221no—
659C2×C4—4888no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2442no—
665C2×C4—2442no—
666C2×C4—2442no—
667C2×C4—2442no—
668C2×C4—2442no—
669C2×C4—2442no—
670C2×C4—2442no—
671C2×C4—2442no—
672C2×C4—2442no—
673C2×C4D4×#692311yescharacteristic
674C2×C4C23×#692311yescharacteristic
675C8—21no—
676C8—21no—
677C8—1221no—
678C8—1221no—
679C8—2442no—
680C22—21no—
681C22—21no—
682C22—22no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—84no—
689C22—611no—
690C22—611no—
691C22—612no—
692C22—612no—
693C22—612no—
694C22—1224no—
695C22—1224no—
696C22—1221no—
697C22—1221no—
698C22—1222no—
699C22—4884no—
700C22—4884no—
701C22—4882no—
702C22—4882no—
703C22—4884no—
704C22—2444no—
705C22—2444no—
706C22—2441no—
707C22—2441no—
708C22—2441no—
709C22—2441no—
710C22—2441no—
711C22#1684080312yes—
712C22C2×D4×#692311yescharacteristic
713C4—21no—
714C4—41no—
715C4—41no—
716C4—612no—
717C4—1221no—
718C4—4882no—
719C4—4882no—
720C4—2442no—
721C4—2442no—
722C4—2441no—
723C4—2441no—
724C4C2×#1451985611yescharacteristic
725C4#1684082911yescharacteristic
726C2—22no—
727C2—42no—
728C2—81no—
729C2—612no—
730C2—612no—
731C2—1222no—
732C2—4881no—
733C2—2442no—
734C2#2146232511yescharacteristic
735C2C2×#1684080311yescharacteristic
736C2#2146257911yescharacteristic
subgroupG/H
centerC22C2×D4×#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC2×#102×C61C4
socleC22×C61C2×C4×D4
prime radicalC22×D4×D61C22
cosocleC2×C4×D61C24
hypercenterC2×#102#6923
hypocenterC61#22562
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#102

Complements

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

NH ≅ G/Ntype
1. #21462327C2semidirect
3. #21461911C2semidirect
4. #21461897C2semidirect
5. #21461784C2semidirect
6. #21461722C2semidirect
7. #21461695C2semidirect
9. #21461590C2semidirect
10. #21461555C2semidirect
15. C2×#14519845C22semidirect
19. C2×#14519831C22semidirect
21. #16840713C22semidirect
28. C4⋊C4×#6923C22semidirect
30. #16840636C22semidirect
31. #16840635C22semidirect
32. #16840635C22semidirect
33. (C2×#6923)⋊C8C22semidirect
37. C2×#14519699C4semidirect
38. C2×#14519698C4semidirect
39. C2×#14519697C4semidirect
40. #102×D61C4semidirect
41. #102×D61C4semidirect
42. #102×D61C4semidirect
43. #102×D61C4semidirect
48. C2×#102×C61C4semidirect
91. C22×#92418C2×C4semidirect
93. C2×C8×D61C2×C4semidirect
94. C2×C8×D61C2×C4semidirect
97. C2×C4⋊Dic61C2×C4semidirect
101. C4⋊C4×D61C2×C4semidirect
102. C4⋊C4×D61C2×C4semidirect
107. #14519699C2×C4semidirect
108. #14519699C2×C4semidirect
111. #14519698C2×C4semidirect
112. #14519698C2×C4semidirect
115. #14519697C2×C4semidirect
116. #14519697C2×C4semidirect
118. C22×C8×C61C2×C4semidirect
119. C2×C4⋊C4×C61C2×C4semidirect
122. #102×C61C2×C4semidirect
123. #102×C61C2×C4semidirect
271. D4×C61#117semidirect
293. D244#117semidirect
400. C2×#102#6923semidirect
417. C61#22562semidirect
440. C22×C8C2×#6923semidirect
455. C2×C4⋊C4C2×#6923semidirect
483. #102C2×#6923semidirect
484. #102C2×#6923semidirect
636. D4#14519856semidirect

Maximal subgroups

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

subgroupindex
#214623272
D4×C22⋊#69232
#214619112
#214618972
#214617842
#214617222
#214616952
#214616572
#214615902
#214615552
C2×#102×D612
#2256261