Finite Group Databasebeta

← #30620607

Subgroups — #30620607

Order 15616.

1190 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
1#21462328C211yesmaximal, characteristic, complemented
2D4×C22⋊#6923C211yesmaximal, characteristic
3#21461909C212yesmaximal, complemented
4#21461897C212yesmaximal, complemented
5#21461784C212yesmaximal, complemented
6#21461723C211yesmaximal, characteristic, complemented
7#21461695C211yesmaximal, characteristic, complemented
8#21461657C211yesmaximal, characteristic
9#102×#6923C212yesmaximal, complemented
10C8×C22⋊#6923C211yesmaximal, characteristic, complemented
11C2×#102×D61C211yesmaximal, characteristic
12C2×D4×#6923C2212yes—
13C22×C22⋊#6923—21no—
14C2×#14519845C2212yescomplemented
15C2×#14519839C2212yes—
16C2×#14519839C2212yes—
17D61⋊(C22⋊C8)C2211yescharacteristic
18C2×C8×#6923C2212yescomplemented
19#16840714C2212yes—
20#16840713C2212yescomplemented
21#16840711—22no—
22#16840710—22no—
23#16840704—21no—
24#16840704C2211yescharacteristic
25#16840704C2211yescharacteristic
26#16840703—21no—
27C4⋊C4×#6923C2212yescomplemented
28C4×C22⋊#6923—21no—
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—
53C2×C4⋊#6923—22no—
54C2×C4⋊#6923C2312yes—
55C2×C4⋊#6923C2312yes—
56C2×C22⋊#6923—21no—
57C2×C22⋊#6923—21no—
58C2×C22⋊#6923—22no—
59C2×C22⋊#6923—22no—
60C2×C22⋊#6923—22no—
61C2×C22⋊#6923—44no—
62C2×C22⋊#6923D411yescharacteristic
63C2×C22⋊#6923D411yescharacteristic
64C2×C4×#6923—22no—
65C2×C4×#6923C2312yes—
66#14519845—42no—
67#14519839—24no—
68#14519839—42no—
69#14519834—21no—
70C22⋊#92420—21no—
71C8×#6923—42no—
72(C2×#6923)⋊C4—22no—
73(C2×#6923)⋊C4—22no—
74(C2×#6923)⋊C4—21no—
75(C2×#6923)⋊C4—21no—
76(C2×#6923)⋊C4D412yes—
77C24×D61—21no—
78C22×D244C2×C411yescharacteristic
79C22×C22⋊D61—21no—
80C2×D4×D61—24no—
81C2×D4×D61—21no—
82C2×D4×D61—21no—
83C2×D4×D61—42no—
84C2×D4×D61C2×C411yescharacteristic
85C2×D4×D61C2×C411yescharacteristic
86C2×D4×D61C2311yescharacteristic
87C2×D4×D61C2311yescharacteristic
88C22×C4×D61—21no—
89C22×C4×D61C2311yescharacteristic
90C22×#92418C2×C411yescharacteristic, complemented
91C2×C8×D61—42no—
92C2×C8×D61C2×C411yescharacteristic, complemented
93C2×C8×D61C2×C411yescharacteristic, complemented
94C2×C8×D61C2311yescharacteristic
95C2×C8×D61C2311yescharacteristic
96C2×C4⋊Dic61C2×C411yescharacteristic, complemented
97C2×#11758196—21no—
98C4⋊C4×D61—21no—
99C4⋊C4×D61—21no—
100C4⋊C4×D61C2×C411yescharacteristic, complemented
101C4⋊C4×D61C2×C411yescharacteristic, complemented
102C4⋊C4×D61C2311yescharacteristic
103C4⋊C4×D61C2311yescharacteristic
104#14519699C2×C411yescharacteristic
105#14519699C2×C411yescharacteristic
106#14519699C2×C411yescharacteristic, complemented
107#14519699C2×C411yescharacteristic, complemented
108#14519698C2×C411yescharacteristic
109#14519698C2×C411yescharacteristic
110#14519698C2×C411yescharacteristic, complemented
111#14519698C2×C411yescharacteristic, complemented
112#14519697C2×C411yescharacteristic
113#14519697C2×C411yescharacteristic
114#14519697C2×C411yescharacteristic, complemented
115#14519697C2×C411yescharacteristic, complemented
116C22×D4×C61C2×C411yescharacteristic
117C22×C8×C61C2×C411yescharacteristic, complemented
118C2×C4⋊C4×C61C2×C411yescharacteristic, complemented
119#102×C61C2×C411yescharacteristic
120#102×C61C2×C411yescharacteristic
121#102×C61C2×C411yescharacteristic, complemented
122#102×C61C2×C411yescharacteristic, complemented
123C24×C61—21no—
124C23×D61—21no—
125C23×D61—21no—
126C23×D61—21no—
127C23×D61—21no—
128C23×D61—21no—
129C23×D61—44no—
130C23×D61—42no—
131C23×D61—42no—
132C23×D61—82no—
133C23×D61C2×D411yescharacteristic
134C22×#6923—22no—
135C22×#6923—22no—
136C22×#6923—44no—
137C22×#6923—44no—
138C22×#6923—82no—
139C22×#6923C2×D412yes—
140C22×#6923C2×D412yes—
141C2×D4×C61—22no—
142C2×D4×C61—21no—
143C2×D4×C61—41no—
144C2×D4×C61C22×C411yescharacteristic
145C2×D4×C61C22×C411yescharacteristic
146C22×C4×C61—21no—
147C22×C4×C61C22×C411yescharacteristic
148C2×C22⋊D61—21no—
149C2×C22⋊D61—21no—
150C2×C22⋊D61—21no—
151C2×C22⋊D61—21no—
152C2×C22⋊D61—44no—
153C22×Dic61—21no—
154C22×Dic61#4111yescharacteristic
155D4×D61—22no—
156D4×D61—22no—
157D4×D61—22no—
158D4×D61—22no—
159D4×D61—22no—
160D4×D61—41no—
161D4×D61—41no—
162D4×D61—44no—
163D4×D61—44no—
164D4×D61#4114yes—
165C2×D244—22no—
166C2×D244—21no—
167C2×D244—41no—
168C2×D244C22×C411yescharacteristic
169C2×D244C22×C411yescharacteristic
170C2×C4×D61—22no—
171C2×C4×D61—22no—
172C2×C4×D61—21no—
173C2×C4×D61—21no—
174C2×C4×D61—21no—
175C2×C4×D61—21no—
176C2×C4×D61—82no—
177C2×C4×D61C22×C411yescharacteristic
178C2×C4×D61C2×D411yescharacteristic
179C2×C4×D61#4111yescharacteristic
180C2×C4×D61C2411yescharacteristic
181C22⋊#6923—22no—
182C22⋊#6923—44no—
183C22⋊#6923—42no—
184C22⋊#6923—42no—
185C22⋊#6923—44no—
186C22⋊#6923—82no—
187C22⋊#6923SD1614yes—
188C2×#92420—22no—
189C4⋊#6923—22no—
190C4⋊#6923—22no—
191C4⋊#6923—22no—
192C4⋊#6923—22no—
193C4⋊#6923—82no—
194C4×#6923—22no—
195C4×#6923—22no—
196C4×#6923—82no—
197D61⋊C8—22no—
198D61⋊C8—22no—
199C2×C8×C61—41no—
200C2×C8×C61C22×C411yescharacteristic
201C2×C8×C61C22×C411yescharacteristic
202C4⋊C4×C61—21no—
203C4⋊C4×C61C22×C411yescharacteristic
204C4⋊C4×C61C22×C411yescharacteristic
205C4⋊Dic61—21no—
206C4⋊Dic61C22×C411yescharacteristic
207C4⋊Dic61C22×C411yescharacteristic
208#11758196—21no—
209#11758196—21no—
210#11758196—21no—
211#11758196—21no—
212C2×#92418—41no—
213C2×#92418C22×C411yescharacteristic
214C2×#92418C22×C411yescharacteristic
215C8×D61—22no—
216C8×D61—22no—
217C8×D61—41no—
218C8×D61—41no—
219C23×C61—21no—
220C23×C61—21no—
221C23×C61—42no—
222C23×C61—42no—
223C23×C61—81no—
224C23×C61C4×D411yescharacteristic
225C22×D61—22no—
226C22×D61—22no—
227C22×D61—21no—
228C22×D61—24no—
229C22×D61—21no—
230C22×D61—42no—
231C22×D61—42no—
232C22×D61—42no—
233C22×D61—41no—
234C22×D61—41no—
235C22×D61—42no—
236C22×D61—42no—
237C22×D61—42no—
238C22×D61—41no—
239C22×D61—41no—
240C22×D61—42no—
241C22×D61—42no—
242C22×D61—42no—
243C22×D61—81no—
244C22×D61—81no—
245C22×D61—88no—
246C22×D61—88no—
247C22×D61—81no—
248C22×D61C4×D411yescharacteristic
249C22×D61C2×SD1612yes—
250C22×D61#13512yes—
251C22×D61C22×D411yescharacteristic
252C2×#6923—22no—
253C2×#6923—22no—
254C2×#6923—22no—
255C2×#6923—22no—
256C2×#6923—22no—
257C2×#6923—42no—
258C2×#6923—42no—
259C2×#6923—42no—
260C2×#6923—42no—
261C2×#6923—42no—
262C2×#6923—42no—
263C2×#6923—88no—
264C2×#6923C2×SD1614yes—
265D4×C61—21no—
266D4×C61—21no—
267D4×C61—21no—
268D4×C61—42no—
269D4×C61#11712yes—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—21no—
273C2×C4×C61—21no—
274C2×C4×C61—81no—
275C2×C4×C61C4×D411yescharacteristic
276C2×C4×C61C23×C411yescharacteristic
277C22⋊D61—24no—
278C22⋊D61—42no—
279C22⋊D61—42no—
280C22⋊D61—42no—
281C2×Dic61—22no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—81no—
285C2×Dic61C4×D411yescharacteristic
286C2×Dic61C2×#4111yescharacteristic
287D244—21no—
288D244—21no—
289D244—21no—
290D244—42no—
291D244#11712yes—
292C4×D61—22no—
293C4×D61—21no—
294C4×D61—21no—
295C4×D61—22no—
296C4×D61—42no—
297C4×D61—42no—
298C4×D61—81no—
299C4×D61—81no—
300C4×D61C2×#4112yes—
301C4×D61H(5,𝔽2)12yes—
302#92420—42no—
303C8×C61—21no—
304C8×C61—21no—
305#92418—21no—
306#92418—21no—
307#22574—611nomaximal, Sylow
308C22×C61—21no—
309C22×C61—21no—
310C22×C61—22no—
311C22×C61—41no—
312C22×C61—41no—
313C22×C61—41no—
314C22×C61—41no—
315C22×C61—41no—
316C22×C61—84no—
317C22×C61C4×SD1612yes—
318C22×C61C2×C4×D411yescharacteristic
319C2×D61—21no—
320C2×D61—21no—
321C2×D61—24no—
322C2×D61—24no—
323C2×D61—22no—
324C2×D61—41no—
325C2×D61—41no—
326C2×D61—44no—
327C2×D61—44no—
328C2×D61—41no—
329C2×D61—41no—
330C2×D61—41no—
331C2×D61—84no—
332C2×D61—84no—
333C2×D61—84no—
334C2×D61—82no—
335C2×D61—82no—
336C2×D61C4×SD1612yes—
337C2×D61#54612yes—
338C2×D61C22×SD1611yescharacteristic
339C2×D61C2×#13511yescharacteristic
340C2×D61#57612yes—
341#6923—24no—
342#6923—42no—
343#6923—82no—
344#6923—82no—
345C4×C61—21no—
346C4×C61—41no—
347C4×C61—41no—
348C4×C61C2×#11711yescharacteristic
349C4×C61#51811yescharacteristic
350Dic61—21no—
351Dic61—41no—
352Dic61—41no—
353Dic61#55112yes—
354C22×#102—611no—
355#2345—611no—
356D4×C22⋊C4—611no—
357#1934—612no—
358#1926—612no—
359#1864—612no—
360#1824—611no—
361#1807—611no—
362#1786—611no—
363C4×#102—612no—
364C8×C22⋊C4—611no—
365C2×C61—22no—
366C2×C61—42no—
367C2×C61—81no—
368C2×C61#234211yescharacteristic
369C2×C61C2×C4×SD1611yescharacteristic
370C2×C61#294811yescharacteristic
371D61—22no—
372D61—42no—
373D61—81no—
374D61#329512yes—
375D61#329712yes—
376C23×D4—611no—
377C23×C8—611no—
378C2×C4×D4—612no—
379C22×C4⋊C4—611no—
380C22×C22⋊C4—1221no—
381C2×#106—612no—
382C2×#102—611no—
383C2×#102—611no—
384C2×#102—611no—
385C2×#102—611no—
386C2×#102—611no—
387C2×#102—611no—
388C2×#102—611no—
389C2×#102—611no—
390C2×#102—611no—
391C2×#102—611no—
392C2×#102—611no—
393C2×#102—612no—
394C2×#102—612no—
395C2×#102#692311yescharacteristic, complemented
396C2×C22⋊C8—611no—
397C2×C4×C8—612no—
398#390—612no—
399#389—612no—
400#387—1222no—
401#386—1222no—
402#380—611no—
403#380—611no—
404#380—1221no—
405#379—1221no—
406C4×C4⋊C4—612no—
407C4×C22⋊C4—611no—
408C4×C22⋊C4—1221no—
409#340—612no—
410#340—612no—
411#340—612no—
412#336—612no—
413C61#2257411yescharacteristic, complemented, Sylow
414C25—1221no—
415C22×D4—611no—
416C22×D4—611no—
417C22×D4—611no—
418C22×D4—611no—
419C22×D4—611no—
420C22×D4—1221no—
421C22×D4—1221no—
422C22×D4—1221no—
423C22×D4—1224no—
424C22×D4—2442no—
425C22×D4C2×#692311yescharacteristic
426C23×C4—611no—
427C23×C4—1221no—
428C23×C4—1222no—
429C22×C8—611no—
430C22×C8—611no—
431C22×C8—611no—
432C22×C8—611no—
433C22×C8—611no—
434C22×C8—612no—
435C22×C8—2442no—
436C22×C8C2×#692311yescharacteristic, complemented
437C4×D4—1224no—
438C4×D4—2442no—
439C2×C4⋊C4—611no—
440C2×C4⋊C4—611no—
441C2×C4⋊C4—611no—
442C2×C4⋊C4—611no—
443C2×C4⋊C4—611no—
444C2×C4⋊C4—612no—
445C2×C4⋊C4—612no—
446C2×C4⋊C4—1221no—
447C2×C4⋊C4—1221no—
448C2×C4⋊C4—1221no—
449C2×C4⋊C4—1222no—
450C2×C4⋊C4C2×#692311yescharacteristic, complemented
451C2×C22⋊C4—611no—
452C2×C22⋊C4—611no—
453C2×C22⋊C4—1222no—
454C2×C22⋊C4—1222no—
455C2×C22⋊C4—1222no—
456C2×C22⋊C4—1221no—
457C2×C22⋊C4—1221no—
458C2×C22⋊C4—2444no—
459C2×C42—612no—
460C2×C42—1222no—
461#106—2442no—
462#102—611no—
463#102—611no—
464#102—611no—
465#102—611no—
466#102—611no—
467#102—611no—
468#102—611no—
469#102—611no—
470#102—611no—
471#102—611no—
472#102—611no—
473#102—611no—
474#102—1224no—
475#102—2442no—
476#102C2×#692311yescharacteristic
477#102C2×#692311yescharacteristic
478#102C2×#692311yescharacteristic, complemented
479#102C2×#692311yescharacteristic, complemented
480C22⋊C8—1221no—
481C22⋊C8—1221no—
482C4×C8—2442no—
483#95—612no—
484#95—1222no—
485#95—1222no—
486#95—1221no—
487#95—1221no—
488C24—21no—
489C24—611no—
490C24—1221no—
491C24—1221no—
492C24—1221no—
493C24—1221no—
494C24—1221no—
495C24—4882no—
496C24—2442no—
497C24—2442no—
498C24—2444no—
499C2×D4—22no—
500C2×D4—21no—
501C2×D4—41no—
502C2×D4—614no—
503C2×D4—611no—
504C2×D4—611no—
505C2×D4—1222no—
506C2×D4—1222no—
507C2×D4—1222no—
508C2×D4—1222no—
509C2×D4—1221no—
510C2×D4—1221no—
511C2×D4—1221no—
512C2×D4—1221no—
513C2×D4—1222no—
514C2×D4—1222no—
515C2×D4—1221no—
516C2×D4—2441no—
517C2×D4—2441no—
518C2×D4—2441no—
519C2×D4—2444no—
520C2×D4—2444no—
521C2×D4—2444no—
522C2×D4C22×#692311yescharacteristic
523C2×D4C22×#692311yescharacteristic
524C22×C4—21no—
525C22×C4—611no—
526C22×C4—612no—
527C22×C4—611no—
528C22×C4—611no—
529C22×C4—611no—
530C22×C4—611no—
531C22×C4—612no—
532C22×C4—1222no—
533C22×C4—1222no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1222no—
540C22×C4—1222no—
541C22×C4—4882no—
542C22×C4—4882no—
543C22×C4—2444no—
544C22×C4—2444no—
545C22×C4C22×#692311yescharacteristic
546C2×C8—41no—
547C2×C8—611no—
548C2×C8—611no—
549C2×C8—1222no—
550C2×C8—1222no—
551C2×C8—1222no—
552C2×C8—1222no—
553C2×C8—1222no—
554C2×C8—2441no—
555C2×C8—2441no—
556C2×C8—2441no—
557C2×C8C22×#692311yescharacteristic
558C2×C8C22×#692311yescharacteristic
559C4⋊C4—21no—
560C4⋊C4—611no—
561C4⋊C4—611no—
562C4⋊C4—1221no—
563C4⋊C4—1221no—
564C4⋊C4—1221no—
565C4⋊C4—1221no—
566C4⋊C4—1222no—
567C4⋊C4—1222no—
568C4⋊C4—1222no—
569C4⋊C4—1222no—
570C4⋊C4—1221no—
571C4⋊C4—4882no—
572C4⋊C4C22×#692311yescharacteristic
573C4⋊C4C22×#692311yescharacteristic
574C22⋊C4—614no—
575C22⋊C4—1222no—
576C22⋊C4—4882no—
577C22⋊C4—2444no—
578C22⋊C4—2444no—
579C22⋊C4—2442no—
580C22⋊C4—2442no—
581C42—1222no—
582C42—1222no—
583C42—4882no—
584C23—21no—
585C23—21no—
586C23—42no—
587C23—42no—
588C23—81no—
589C23—611no—
590C23—612no—
591C23—612no—
592C23—611no—
593C23—1222no—
594C23—1222no—
595C23—1224no—
596C23—1221no—
597C23—1221no—
598C23—4881no—
599C23—4881no—
600C23—4881no—
601C23—4888no—
602C23—4888no—
603C23—2442no—
604C23—2442no—
605C23—2442no—
606C23—2441no—
607C23—2442no—
608C23—2442no—
609C23—2441no—
610C23—2442no—
611C23—2442no—
612C23—2441no—
613C23—2441no—
614C23—2442no—
615C23—2442no—
616C23D4×#692311yescharacteristic
617D4—21no—
618D4—21no—
619D4—21no—
620D4—42no—
621D4—612no—
622D4—1224no—
623D4—1221no—
624D4—1221no—
625D4—1221no—
626D4—2442no—
627D4—2442no—
628D4—2442no—
629D4—2442no—
630D4#1451985612yes—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—81no—
636C2×C4—611no—
637C2×C4—612no—
638C2×C4—612no—
639C2×C4—614no—
640C2×C4—611no—
641C2×C4—1222no—
642C2×C4—1222no—
643C2×C4—1222no—
644C2×C4—1222no—
645C2×C4—1222no—
646C2×C4—1221no—
647C2×C4—1221no—
648C2×C4—1222no—
649C2×C4—1222no—
650C2×C4—1222no—
651C2×C4—1221no—
652C2×C4—1221no—
653C2×C4—4881no—
654C2×C4—4881no—
655C2×C4—4888no—
656C2×C4—4881no—
657C2×C4—2442no—
658C2×C4—2442no—
659C2×C4—2442no—
660C2×C4—2442no—
661C2×C4—2442no—
662C2×C4—2442no—
663C2×C4—2442no—
664C2×C4—2442no—
665C2×C4D4×#692311yescharacteristic
666C2×C4C23×#692311yescharacteristic
667C8—21no—
668C8—21no—
669C8—1221no—
670C8—1221no—
671C8—2442no—
672C22—21no—
673C22—21no—
674C22—22no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—84no—
681C22—611no—
682C22—611no—
683C22—612no—
684C22—612no—
685C22—612no—
686C22—1224no—
687C22—1224no—
688C22—1221no—
689C22—1221no—
690C22—1222no—
691C22—4884no—
692C22—4884no—
693C22—4882no—
694C22—4882no—
695C22—4884no—
696C22—2444no—
697C22—2444no—
698C22—2441no—
699C22—2441no—
700C22—2441no—
701C22—2441no—
702C22—2441no—
703C22SD16×#692312yes—
704C22C2×D4×#692311yescharacteristic
705C4—21no—
706C4—41no—
707C4—41no—
708C4—612no—
709C4—1224no—
710C4—1221no—
711C4—4882no—
712C4—4882no—
713C4—2442no—
714C4—2441no—
715C4—2441no—
716C4C2×#1451985611yescharacteristic
717C4#1684082911yescharacteristic
718C2—22no—
719C2—42no—
720C2—81no—
721C2—612no—
722C2—612no—
723C2—1222no—
724C2—4881no—
725C2—2442no—
726C2#2146232511yescharacteristic
727C2C2×SD16×#692311yescharacteristic
728C2#2146257811yescharacteristic
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#22574
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. #21462328C2semidirect
3. #21461909C2semidirect
4. #21461897C2semidirect
5. #21461784C2semidirect
6. #21461723C2semidirect
7. #21461695C2semidirect
9. #102×#6923C2semidirect
10. C8×C22⋊#6923C2semidirect
14. C2×#14519845C22semidirect
18. C2×C8×#6923C22semidirect
20. #16840713C22semidirect
27. 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
90. C22×#92418C2×C4semidirect
92. C2×C8×D61C2×C4semidirect
93. C2×C8×D61C2×C4semidirect
96. C2×C4⋊Dic61C2×C4semidirect
100. C4⋊C4×D61C2×C4semidirect
101. C4⋊C4×D61C2×C4semidirect
106. #14519699C2×C4semidirect
107. #14519699C2×C4semidirect
110. #14519698C2×C4semidirect
111. #14519698C2×C4semidirect
114. #14519697C2×C4semidirect
115. #14519697C2×C4semidirect
117. C22×C8×C61C2×C4semidirect
118. C2×C4⋊C4×C61C2×C4semidirect
121. #102×C61C2×C4semidirect
122. #102×C61C2×C4semidirect
395. C2×#102#6923semidirect
413. C61#22574semidirect
436. C22×C8C2×#6923semidirect
450. C2×C4⋊C4C2×#6923semidirect
478. #102C2×#6923semidirect
479. #102C2×#6923semidirect

Maximal subgroups

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

subgroupindex
#214623282
D4×C22⋊#69232
#214619092
#214618972
#214617842
#214617232
#214616952
#214616572
#102×#69232
C8×C22⋊#69232
C2×#102×D612
#2257461