Finite Group Databasebeta

← #30602574

Subgroups — #30602574

Order 15616.

1204 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462799C211yesmaximal, characteristic
2D61⋊#421C211yesmaximal, characteristic
3#21461529C211yesmaximal, characteristic, complemented
4#21461518C211yesmaximal, characteristic, complemented
5#21461501C211yesmaximal, characteristic, complemented
6C2×#16840629C211yesmaximal, characteristic, complemented
7C2×#16839777C211yesmaximal, characteristic
8C2×D61⋊M16C2211yescharacteristic
9#16840831—22no—
10#16840831—22no—
11#16840830C412yescomplemented
12#16840829—22no—
13#16840829C412yescomplemented
14#41×#6923—22no—
15#41×#6923—22no—
16C2×#14519856—22no—
17C2×#14519856C2211yescharacteristic
18C2×#14519856C2211yescharacteristic
19C2×#14519856C2211yescharacteristic
20#16840761C412yescomplemented
21#16840760C412yescomplemented
22#16840759—22no—
23D61⋊#104—22no—
24#16840644—22no—
25#16840640—22no—
26#16840634—22no—
27#16840629—22no—
28C2×#41×D61C2211yescharacteristic
29C2×M16×D61C2211yescharacteristic
30C2×#14519734C2211yescharacteristic
31#16839777—22no—
32#16839777—22no—
33C2×#14519705C411yescharacteristic, complemented
34C2×#14519704C411yescharacteristic, complemented
35C2×#14519703C411yescharacteristic, complemented
36C2×#104×C61C411yescharacteristic, complemented
37C2×#11758213—21no—
38D61⋊M16—21no—
39D61⋊M16—21no—
40D61⋊M16—21no—
41D61⋊M16C2×C412yescomplemented
42C2×#11758217—21no—
43C2×D61⋊C8—21no—
44Q8×#6923—24no—
45Q8×#6923—24no—
46D4×#6923—28no—
47D4×#6923—28no—
48D4×#6923—24no—
49D4×#6923—24no—
50#14519856—24no—
51#14519856—24no—
52#14519856—21no—
53#14519856—21no—
54#14519856—21no—
55#14519856—21no—
56#14519856—24no—
57#14519856—21no—
58#14519856—21no—
59#14519856—21no—
60#14519856C2×C412yes—
61#14519856C2×C412yes—
62#14519856C2×C412yescomplemented
63#14519856D412yes—
64#14519856D412yes—
65C2×C4⋊#6923—24no—
66C2×C4⋊#6923—21no—
67C2×C4⋊#6923—21no—
68C2×C4⋊#6923—21no—
69C2×C22⋊#6923—21no—
70C2×C22⋊#6923—24no—
71C2×C22⋊#6923—21no—
72C2×C22⋊#6923D412yes—
73C2×C4×#6923—24no—
74C2×C4×#6923—21no—
75C2×C4×#6923—21no—
76C2×C4×#6923D412yes—
77#14519842—24no—
78#14519841—24no—
79C2×#11758226C2×C411yescharacteristic
80C2×#11758222—21no—
81C2×#11758222C2×C411yescharacteristic
82C2×#11758224—21no—
83C2×#11758224C2×C411yescharacteristic
84#41×D61—21no—
85#41×D61—21no—
86#41×D61—21no—
87#41×D61—21no—
88#41×D61D412yes—
89#41×D61D412yes—
90#41×D61D412yes—
91#41×D61Q812yes—
92C2×Q8×D61C2×C411yescharacteristic
93C2×D4×D61—21no—
94C2×D4×D61C2×C411yescharacteristic
95C22×C4×D61—21no—
96C22×C4×D61C2311yescharacteristic
97C2×#11758194C2×C411yescharacteristic, complemented
98C2×#11758189—21no—
99M16×D61—21no—
100M16×D61—21no—
101M16×D61—21no—
102M16×D61—21no—
103C2×C8×D61—21no—
104#14519734—21no—
105#14519734—21no—
106#14519734—21no—
107#14519734—21no—
108C2×#11758196—21no—
109C2×#11758198—21no—
110C2×C4×Dic61C2×C411yescharacteristic, complemented
111#14519705—22no—
112#14519704—22no—
113#14519703—22no—
114C2×#41×C61C2×C411yescharacteristic
115C2×M16×C61C2×C411yescharacteristic, complemented
116C2×C42×C61C2×C411yescharacteristic, complemented
117#104×C61—22no—
118C23×D61—21no—
119C23×D61C2×D411yescharacteristic
120C22×#6923—28no—
121C22×#6923—22no—
122C22×#6923—22no—
123C22×#6923—41no—
124#41×C61—21no—
125#41×C61—21no—
126#41×C61C22⋊C412yes—
127#41×C61C4⋊C412yes—
128C2×Q8×C61C4211yescharacteristic
129C2×D4×C61—21no—
130C2×D4×C61C4211yescharacteristic
131C22×C4×C61—21no—
132C22×C4×C61—21no—
133C22×C4×C61C22×C411yescharacteristic
134C2×C22⋊D61—21no—
135C2×C22⋊D61—21no—
136C2×C22⋊D61—21no—
137C22×Dic61—21no—
138C22×Dic61—21no—
139C22×Dic61#4111yescharacteristic
140#11758226—21no—
141#11758226—21no—
142#11758226C22⋊C412yes—
143#11758226C4⋊C412yes—
144Q8×D61—21no—
145Q8×D61—21no—
146Q8×D61C22⋊C412yes—
147Q8×D61C4⋊C412yes—
148#11758224—22no—
149#11758224—22no—
150#11758224—22no—
151#11758224—22no—
152#11758224—21no—
153#11758224—21no—
154#11758224C22⋊C412yes—
155#11758224C4⋊C412yes—
156D4×D61—22no—
157D4×D61—22no—
158D4×D61—22no—
159D4×D61—22no—
160D4×D61—21no—
161D4×D61—21no—
162D4×D61C22⋊C412yes—
163D4×D61C4⋊C412yes—
164#11758222—21no—
165#11758222—21no—
166#11758222—22no—
167#11758222—22no—
168#11758222—22no—
169#11758222—22no—
170#11758222C22⋊C412yes—
171#11758222C4⋊C412yes—
172C2×D244—21no—
173C2×D244C4211yescharacteristic
174C2×C4×D61—21no—
175C2×C4×D61—21no—
176C2×C4×D61—21no—
177C2×C4×D61—22no—
178C2×C4×D61—22no—
179C2×C4×D61—22no—
180C2×C4×D61—22no—
181C2×C4×D61C22×C411yescharacteristic
182C2×C4×D61C22×C411yescharacteristic
183C2×C4×D61C2×D411yescharacteristic
184C2×C4×D61C2×D411yescharacteristic
185C2×C4×D61C2×D411yescharacteristic
186C2×C4×D61C2×D411yescharacteristic
187C2×C4×D61C2×D411yescharacteristic
188C2×C4×D61C2×D411yescharacteristic
189C2×C4×D61C2×Q811yescharacteristic
190C2×C4×D61#4111yescharacteristic
191C2×C4×D61#4111yescharacteristic
192C2×C4×D61#4111yescharacteristic
193C2×Dic122—21no—
194C2×Dic122C4211yescharacteristic
195C22⋊#6923—28no—
196C22⋊#6923—22no—
197C22⋊#6923—22no—
198C22⋊#6923—22no—
199C22⋊#6923—22no—
200C22⋊#6923—41no—
201C22⋊#6923C22⋊C414yes—
202#11758217—22no—
203#11758217—41no—
204C2×#92420—41no—
205C4⋊#6923—28no—
206C4⋊#6923—22no—
207C4⋊#6923—22no—
208C4⋊#6923—22no—
209C4⋊#6923—22no—
210C4⋊#6923—22no—
211C4⋊#6923—41no—
212C4×#6923—28no—
213C4×#6923—22no—
214C4×#6923—22no—
215C4×#6923—22no—
216C4×#6923—22no—
217C4×#6923—41no—
218C4×#6923C22⋊C414yes—
219#11758213—22no—
220#11758213—41no—
221D61⋊C8—22no—
222D61⋊C8—41no—
223M16×C61—21no—
224M16×C61—21no—
225C2×C8×C61—21no—
226C42×C61—21no—
227C42×C61—21no—
228#11758198—41no—
229#11758198—41no—
230#11758196—41no—
231#11758196—41no—
232C4×Dic61—21no—
233C4×Dic61—21no—
234#11758194—21no—
235#11758194—21no—
236C2×#92418—21no—
237#11758189—41no—
238#11758189—41no—
239C8×D61—41no—
240C8×D61—41no—
241C23×C61—21no—
242C23×C61C4×D411yescharacteristic
243C22×D61—21no—
244C22×D61—22no—
245C22×D61—22no—
246C22×D61—81no—
247C22×D61—82no—
248C22×D61C2×C22⋊C411yescharacteristic
249C22×D61C4×D411yescharacteristic
250C22×D61#12011yescharacteristic
251C22×D61#12011yescharacteristic
252C22×D61#12111yescharacteristic
253C22×D61C22⋊Q811yescharacteristic
254C2×#6923—24no—
255C2×#6923—24no—
256C2×#6923—42no—
257C2×#6923—82no—
258C2×#6923—82no—
259C2×#6923—88no—
260C2×#6923—82no—
261Q8×C61—21no—
262Q8×C61#9512yes—
263D4×C61—22no—
264D4×C61—22no—
265D4×C61—21no—
266D4×C61#9512yes—
267C2×C4×C61—21no—
268C2×C4×C61—22no—
269C2×C4×C61—22no—
270C2×C4×C61—41no—
271C2×C4×C61—81no—
272C2×C4×C61C2×C4211yescharacteristic
273C2×C4×C61C2×C22⋊C411yescharacteristic
274C2×C4×C61C2×C4⋊C411yescharacteristic
275C2×C4×C61C4×D411yescharacteristic
276C2×C4×C61C4×D411yescharacteristic
277C2×C4×C61C4×D411yescharacteristic
278C22⋊D61—22no—
279C22⋊D61—22no—
280C22⋊D61—22no—
281C22⋊D61—22no—
282C22⋊D61—22no—
283C22⋊D61—22no—
284C2×Dic61—21no—
285C2×Dic61—22no—
286C2×Dic61—22no—
287C2×Dic61—41no—
288C2×Dic61—81no—
289C2×Dic61#11711yescharacteristic
290C2×Dic61C4×D411yescharacteristic
291C2×Dic61#12111yescharacteristic
292C2×Dic61C22⋊Q811yescharacteristic
293C2×Dic61#12311yescharacteristic
294C2×Dic61#12311yescharacteristic
295D244—22no—
296D244—22no—
297D244—21no—
298D244#9512yes—
299C4×D61—22no—
300C4×D61—22no—
301C4×D61—22no—
302C4×D61—22no—
303C4×D61—22no—
304C4×D61—22no—
305C4×D61C2×C22⋊C411yescharacteristic
306C4×D61C2×C22⋊C411yescharacteristic
307C4×D61C2×C22⋊C411yescharacteristic
308C4×D61C2×C4⋊C411yescharacteristic
309C4×D61C2×C4⋊C411yescharacteristic
310C4×D61#11711yescharacteristic
311C4×D61C4×D411yescharacteristic
312C4×D61C4×D411yescharacteristic
313C4×D61#12011yescharacteristic
314C4×D61#12011yescharacteristic
315C4×D61#12111yescharacteristic
316C4×D61#12111yescharacteristic
317C4×D61C22⋊Q811yescharacteristic
318C4×D61C22⋊Q811yescharacteristic
319C4×D61#12311yescharacteristic
320C4×D61#12311yescharacteristic
321Dic122—21no—
322Dic122—22no—
323Dic122—22no—
324Dic122#9512yes—
325#92420—42no—
326C8×C61—41no—
327#92418—41no—
328#10783—611nomaximal, Sylow
329C22×C61—22no—
330C22×C61—41no—
331C22×C61—81no—
332C22×C61C4×C22⋊C411yescharacteristic
333C22×C61#38511yescharacteristic
334C22×C61#38611yescharacteristic
335C2×D61—22no—
336C2×D61—41no—
337C2×D61—41no—
338C2×D61—41no—
339C2×D61—41no—
340C2×D61—41no—
341C2×D61—41no—
342C2×D61—44no—
343C2×D61—82no—
344C2×D61—81no—
345C2×D61#37911yescharacteristic
346C2×D61#38011yescharacteristic
347C2×D61#38511yescharacteristic
348C2×D61#38611yescharacteristic
349#6923—44no—
350#6923—44no—
351#6923—82no—
352C4×C61—22no—
353C4×C61—81no—
354C4×C61C2×#9511yescharacteristic
355C4×C61C4×C22⋊C411yescharacteristic
356C4×C61#38511yescharacteristic
357C4×C61#38611yescharacteristic
358Dic61—22no—
359Dic61—81no—
360Dic61#38011yescharacteristic
361Dic61#38111yescharacteristic
362Dic61#38511yescharacteristic
363Dic61#38611yescharacteristic
364#3428—611no—
365C2×#421—611no—
366C2×#421—611no—
367C2×#344—611no—
368#1740—611no—
369#1733—611no—
370C2×H(3,ℤ/4)—611no—
371C2×C61—21no—
372C2×C61—21no—
373C2×C61—21no—
374C2×C61—42no—
375C2×C61C22⋊#9511yescharacteristic
376D61—21no—
377D61—21no—
378D61—21no—
379D61—21no—
380D61—42no—
381C22×#41—611no—
382C22×M16—611no—
383C22×M16—611no—
384#520—1222no—
385#520—1222no—
386#519—612no—
387#518—612no—
388#518—1222no—
389C4×#41—1222no—
390C4×#41—1222no—
391C2×#117—611no—
392C2×#117—611no—
393C2×#117—611no—
394C2×#117—611no—
395C2×#117—1222no—
396#421—612no—
397#421—612no—
398#421—1222no—
399#421—1222no—
400#421—1222no—
401C2×#104—611no—
402C2×#104—611no—
403C2×#104—611no—
404C2×#104—1222no—
405C2×#104#692311yescharacteristic, complemented
406#344—1222no—
407#342—1222no—
408#339—1222no—
409H(3,ℤ/4)—1222no—
410C61#1078311yescharacteristic, complemented, Sylow
411C2×#41—612no—
412C2×#41—612no—
413C2×#41—612no—
414C2×#41—612no—
415C2×#41—611no—
416C2×#41—611no—
417C2×#41—611no—
418C2×#41—1221no—
419C2×#41—1221no—
420C2×#41—1221no—
421C2×#41—1221no—
422C2×#41—1221no—
423C2×#41—1221no—
424C2×#41C2×#692311yescharacteristic
425C22×Q8—611no—
426C22×D4—611no—
427C22×D4—1221no—
428C23×C4—611no—
429C23×C4—1221no—
430C2×M16—612no—
431C2×M16—611no—
432C2×M16—1221no—
433C2×M16—1221no—
434C2×M16—1221no—
435C2×M16—1221no—
436C2×M16—1221no—
437C2×M16—1221no—
438C2×M16—1221no—
439C2×M16—1221no—
440C2×M16—1221no—
441C2×M16—1221no—
442C2×M16C2×#692311yescharacteristic, complemented
443C22×C8—1221no—
444C22×C8—1221no—
445C4×Q8—1224no—
446C4×Q8—1224no—
447C4×D4—1224no—
448C4×D4—1224no—
449C4×D4—1228no—
450C4×D4—1228no—
451#117—612no—
452#117—612no—
453#117—612no—
454#117—612no—
455#117—612no—
456#117—1221no—
457#117—1221no—
458#117—1221no—
459#117—1221no—
460#117—1224no—
461#117—1221no—
462#117—1221no—
463#117—1221no—
464#117—1221no—
465#117—1224no—
466#117—1224no—
467#117—1221no—
468#117—1221no—
469#117—1221no—
470C2×C4⋊C4—1221no—
471C2×C4⋊C4—1221no—
472C2×C4⋊C4—1224no—
473C2×C4⋊C4—1221no—
474C2×C4⋊C4—1221no—
475C2×C22⋊C4—612no—
476C2×C22⋊C4—1224no—
477C2×C22⋊C4—1221no—
478C2×C22⋊C4—1221no—
479C2×C22⋊C4—1221no—
480C2×C42—612no—
481C2×C42—611no—
482C2×C42—1221no—
483C2×C42—1224no—
484C2×C42—1221no—
485C2×C42C2×#692311yescharacteristic, complemented
486#104—22no—
487#104—1222no—
488#104—1222no—
489#104—1224no—
490#104—1224no—
491#104—1222no—
492C24—611no—
493C24—1221no—
494#41—21no—
495#41—21no—
496#41—612no—
497#41—612no—
498#41—612no—
499#41—612no—
500#41—612no—
501#41—612no—
502#41—1222no—
503#41—1222no—
504#41—1222no—
505#41—1222no—
506#41—1222no—
507#41—1222no—
508#41—1222no—
509#41—1222no—
510#41—1221no—
511#41—1221no—
512#41—1221no—
513#41—1221no—
514#41—1221no—
515#41—1221no—
516#41C4⋊#692312yes—
517#41C22⋊#692312yes—
518C2×Q8—612no—
519C2×Q8—612no—
520C2×Q8—611no—
521C2×Q8—1221no—
522C2×Q8—1221no—
523C2×Q8—1221no—
524C2×Q8C4×#692311yescharacteristic
525C2×D4—21no—
526C2×D4—612no—
527C2×D4—612no—
528C2×D4—611no—
529C2×D4—1221no—
530C2×D4—1221no—
531C2×D4—1221no—
532C2×D4—1221no—
533C2×D4—1222no—
534C2×D4—1222no—
535C2×D4—1222no—
536C2×D4—1222no—
537C2×D4—1221no—
538C2×D4—1221no—
539C2×D4C4×#692311yescharacteristic
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—611no—
543C22×C4—611no—
544C22×C4—611no—
545C22×C4—611no—
546C22×C4—611no—
547C22×C4—611no—
548C22×C4—611no—
549C22×C4—611no—
550C22×C4—611no—
551C22×C4—611no—
552C22×C4—611no—
553C22×C4—611no—
554C22×C4—611no—
555C22×C4—1222no—
556C22×C4—1222no—
557C22×C4—1221no—
558C22×C4—1222no—
559C22×C4—1222no—
560C22×C4—1221no—
561C22×C4—1221no—
562C22×C4—1221no—
563C22×C4—1222no—
564C22×C4—1222no—
565C22×C4—1228no—
566C22×C4—1221no—
567C22×C4—2441no—
568C22×C4C22×#692311yescharacteristic
569M16—21no—
570M16—21no—
571M16—1222no—
572M16—1222no—
573M16—1221no—
574M16—1221no—
575M16—2441no—
576M16—2441no—
577M16—2441no—
578M16—2441no—
579C2×C8—21no—
580C2×C8—1222no—
581C2×C8—1221no—
582C2×C8—2441no—
583C2×C8—2441no—
584C2×C8—2441no—
585C2×C8—2441no—
586C4⋊C4—1222no—
587C4⋊C4—1222no—
588C4⋊C4—1222no—
589C4⋊C4—1222no—
590C4⋊C4—1222no—
591C4⋊C4—1228no—
592C4⋊C4—2441no—
593C4⋊C4—2441no—
594C4⋊C4—2441no—
595C22⋊C4—614no—
596C22⋊C4—1222no—
597C22⋊C4—1222no—
598C22⋊C4—1222no—
599C22⋊C4—1228no—
600C22⋊C4—1222no—
601C22⋊C4—2441no—
602C22⋊C4—2441no—
603C22⋊C4—2441no—
604C42—21no—
605C42—21no—
606C42—614no—
607C42—1222no—
608C42—1222no—
609C42—1222no—
610C42—1222no—
611C42—1228no—
612C42—1221no—
613C42—1221no—
614C42—2441no—
615C23—21no—
616C23—611no—
617C23—611no—
618C23—611no—
619C23—611no—
620C23—611no—
621C23—611no—
622C23—1222no—
623C23—1222no—
624C23—1221no—
625C23—4881no—
626C23—4882no—
627C23D4×#692311yescharacteristic
628Q8—21no—
629Q8—612no—
630Q8—1222no—
631Q8—1222no—
632Q8—1221no—
633Q8(C2×#6923)⋊C412yes—
634D4—22no—
635D4—22no—
636D4—21no—
637D4—612no—
638D4—1222no—
639D4—1222no—
640D4—1222no—
641D4—1222no—
642D4—1222no—
643D4—1222no—
644D4—1222no—
645D4—1222no—
646D4—1221no—
647D4(C2×#6923)⋊C412yes—
648C2×C4—21no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—41no—
652C2×C4—81no—
653C2×C4—611no—
654C2×C4—611no—
655C2×C4—611no—
656C2×C4—611no—
657C2×C4—611no—
658C2×C4—611no—
659C2×C4—611no—
660C2×C4—611no—
661C2×C4—611no—
662C2×C4—611no—
663C2×C4—611no—
664C2×C4—611no—
665C2×C4—611no—
666C2×C4—611no—
667C2×C4—611no—
668C2×C4—611no—
669C2×C4—611no—
670C2×C4—611no—
671C2×C4—611no—
672C2×C4—611no—
673C2×C4—611no—
674C2×C4—611no—
675C2×C4—1222no—
676C2×C4—1222no—
677C2×C4—1222no—
678C2×C4—1222no—
679C2×C4—1222no—
680C2×C4—1222no—
681C2×C4—1221no—
682C2×C4—1222no—
683C2×C4—1222no—
684C2×C4—1224no—
685C2×C4—1224no—
686C2×C4—4882no—
687C2×C4—4881no—
688C2×C4—4882no—
689C2×C4—4882no—
690C2×C4—4888no—
691C2×C4—2442no—
692C2×C4—2441no—
693C2×C4C2×C4×#692311yescharacteristic
694C2×C4C2×C22⋊#692311yescharacteristic
695C2×C4C2×C4⋊#692311yescharacteristic
696C2×C4D4×#692311yescharacteristic
697C2×C4D4×#692311yescharacteristic
698C2×C4D4×#692311yescharacteristic
699C8—41no—
700C8—2442no—
701C8—2441no—
702C22—22no—
703C22—41no—
704C22—81no—
705C22—611no—
706C22—611no—
707C22—611no—
708C22—611no—
709C22—1222no—
710C22—4881no—
711C22—4882no—
712C22—2441no—
713C22—2441no—
714C22—2441no—
715C22—2441no—
716C22—2441no—
717C22—2441no—
718C22—2444no—
719C22C22⋊C4×#692311yescharacteristic
720C22#1684070911yescharacteristic
721C22#1684071011yescharacteristic
722C4—22no—
723C4—81no—
724C4—611no—
725C4—611no—
726C4—611no—
727C4—611no—
728C4—1222no—
729C4—4881no—
730C4—4882no—
731C4—2444no—
732C4—2444no—
733C4C2×(C2×#6923)⋊C411yescharacteristic
734C4C22⋊C4×#692311yescharacteristic
735C4#1684070911yescharacteristic
736C4#1684071011yescharacteristic
737C2—21no—
738C2—21no—
739C2—21no—
740C2—42no—
741C2—1221no—
742C2—1221no—
743C2—1221no—
744C2—1221no—
745C2—2442no—
746C2#2146099211yescharacteristic
subgroupG/H
centerC4#16840710
commutatorC2×C4×C61C2×C42
FrattiniC22×C4C22×#6923
FittingC2×#104×C61C4
socleC2×C61C22⋊#95
prime radicalC2×#41×D61C22
cosocleC22×C4×D61C23
hypercenterC2×#104#6923
hypocenterC61#10783
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C4 ◁ C22×C4 ◁ C2×#104

Complements

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

NH ≅ G/Ntype
3. #21461529C2semidirect
4. #21461518C2semidirect
5. #21461501C2semidirect
6. C2×#16840629C2semidirect
11. #16840830C4semidirect
13. #16840829C4semidirect
20. #16840761C4semidirect
21. #16840760C4semidirect
33. C2×#14519705C4semidirect
34. C2×#14519704C4semidirect
35. C2×#14519703C4semidirect
36. C2×#104×C61C4semidirect
41. D61⋊M16C2×C4semidirect
62. #14519856C2×C4semidirect
97. C2×#11758194C2×C4semidirect
110. C2×C4×Dic61C2×C4semidirect
115. C2×M16×C61C2×C4semidirect
116. C2×C42×C61C2×C4semidirect
405. C2×#104#6923semidirect
410. C61#10783semidirect
442. C2×M16C2×#6923semidirect
485. C2×C42C2×#6923semidirect

Maximal subgroups

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

subgroupindex
#214627992
D61⋊#4212
#214615292
#214615182
#214615012
C2×#168406292
C2×#168397772
#1078361