Finite Group Databasebeta

← #29683943

Subgroups — #29683943

Order 15616.

1566 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519809C211yesmaximal, characteristic
2C2×#16839801C211yesmaximal, characteristic, complemented
3C2×#16839762C211yesmaximal, characteristic
4C2×#16839769C211yesmaximal, characteristic, complemented
5C2×#16839714C211yesmaximal, characteristic, complemented
6#21448308C211yesmaximal, characteristic
7#391×D61C211yesmaximal, characteristic, complemented
8#21446703C211yesmaximal, characteristic, complemented
9#21446700C211yesmaximal, characteristic, complemented
10#21446689C211yesmaximal, characteristic, complemented
11#21446681C211yesmaximal, characteristic, complemented
12#21446677C211yesmaximal, characteristic, complemented
13#21446671C211yesmaximal, characteristic, complemented
14#21446670C211yesmaximal, characteristic, complemented
15C61×#1971C211yesmaximal, characteristic, complemented
16C22×#11758226C2211yescharacteristic
17C22×Q8×D61C2211yescharacteristic
18C2×#14519809—24no—
19C2×#14519809—24no—
20C2×#14519809C418yescomplemented
21C22×#11758202C2211yescharacteristic
22C22×#11758190C2211yescharacteristic
23C22×#11758201C2211yescharacteristic
24C22×#11758189C2211yescharacteristic
25C22×#11758189C2211yescharacteristic
26C2×#14519735C2211yescharacteristic
27C2×C4⋊C4×D61C2211yescharacteristic
28C2×C42×D61C2211yescharacteristic
29#16839801—24no—
30C2×#14519711C2211yescharacteristic
31C2×#14519710C2211yescharacteristic
32C2×#14519708C2211yescharacteristic
33#16839769—24no—
34#16839762—24no—
35C2×#14519702C2211yescharacteristic
36C2×#14519701C2211yescharacteristic
37C2×#14519701C2211yescharacteristic
38C2×#14519700C2211yescharacteristic
39C2×#14519699C2211yescharacteristic
40C2×#14519697C2211yescharacteristic
41#16839714—24no—
42C2×#14519688C2211yescharacteristic
43C2×C8×Dic61C2211yescharacteristic
44C2×C8×Dic61C2211yescharacteristic
45#16839669C2211yescharacteristic
46#16839669C2211yescharacteristic
47#16839668C2211yescharacteristic
48#16839667C2211yescharacteristic
49#16839666—22no—
50#16839664C2211yescharacteristic
51#16839663C2211yescharacteristic
52#16839640—22no—
53#16839609—22no—
54#95×D61—22no—
55C22×Q16×C61C2211yescharacteristic
56C2×#106×C61C2211yescharacteristic
57C2×#103×C61C2211yescharacteristic
58C2×#103×C61C2211yescharacteristic
59C2×#97×C61C2211yescharacteristic
60C61×#391C2211yescharacteristic
61C61×#391C2211yescharacteristic
62C2×#11758226—22no—
63C2×#11758226—22no—
64C2×#11758226—22no—
65C2×#11758226—22no—
66C2×#11758226—22no—
67C2×#11758226C2×C414yes—
68C22×Dic122—21no—
69C22×Dic122C2311yescharacteristic
70C2×Q8×D61—22no—
71C2×Q8×D61—22no—
72C2×Q8×D61—22no—
73C2×Q8×D61—22no—
74C2×Q8×D61—22no—
75C2×Q8×D61C2×C414yes—
76C22×D244—21no—
77C22×D244C2311yescharacteristic
78C22×C4×D61—21no—
79C22×C4×D61—21no—
80C22×C4×D61—21no—
81C22×C4×D61D412yes—
82C22×C4×D61C2311yescharacteristic
83#14519809—232no—
84C2×#11758202—22no—
85C2×#11758202—22no—
86C2×#11758202C2×C414yescomplemented
87C2×#11758190—22no—
88C2×#11758190—22no—
89C2×#11758190C2×C414yescomplemented
90C2×#11758201—22no—
91C2×#11758201—22no—
92C2×#11758201C2×C414yescomplemented
93C2×#11758189—22no—
94C2×#11758189—22no—
95C2×#11758189C2×C414yes—
96C2×#11758189D414yes—
97C2×#11758189D414yes—
98C2×#11758189D414yes—
99C22×#92418C2311yescharacteristic
100C22×#92418C2311yescharacteristic
101#14519735—22no—
102#14519735—22no—
103C2×C4⋊Dic61C2311yescharacteristic
104C2×C4⋊Dic61C2311yescharacteristic
105C2×#11758196—21no—
106C4⋊C4×D61—22no—
107C4⋊C4×D61—22no—
108C2×#11758198—21no—
109C2×#11758198—22no—
110C2×#11758198—22no—
111C2×C4×Dic61—21no—
112C2×C4×Dic61D412yes—
113C2×C4×Dic61C2311yescharacteristic
114C42×D61—22no—
115C42×D61—22no—
116#14519711—22no—
117#14519710—22no—
118#14519708—22no—
119#14519702—22no—
120#14519701—22no—
121#14519701—22no—
122#14519700—22no—
123#14519699—22no—
124#14519697—22no—
125#14519688—22no—
126C8×Dic61—22no—
127C8×Dic61—22no—
128#14519684—22no—
129#14519684—22no—
130#14519684—22no—
131#14519684—22no—
132C22×Q8×C61C2311yescharacteristic
133C22×Q8×C61C2311yescharacteristic
134C2×Q16×C61—22no—
135C2×Q16×C61—22no—
136C2×Q16×C61C2×C414yescomplemented
137C22×C8×C61C2311yescharacteristic
138C22×C8×C61C2311yescharacteristic
139C2×C4⋊C4×C61C2311yescharacteristic
140C2×C4⋊C4×C61C2311yescharacteristic
141C2×C42×C61C2311yescharacteristic
142#106×C61—22no—
143#103×C61—22no—
144#103×C61—22no—
145#97×C61—22no—
146#95×C61—22no—
147#95×C61—22no—
148C23×D61—21no—
149C23×D61C2×D411yescharacteristic
150C2×Q8×C61—21no—
151C2×Q8×C61—21no—
152C2×Q8×C61—21no—
153C2×Q8×C61—21no—
154C2×Q8×C61—21no—
155C2×Q8×C61—21no—
156C2×Q8×C61—21no—
157C2×Q8×C61—21no—
158C2×Q8×C61—21no—
159C2×Q8×C61—21no—
160C2×Q8×C61C22×C412yes—
161C2×Q8×C61C22×C412yes—
162C22×C4×C61—21no—
163C22×C4×C61—21no—
164C22×C4×C61—21no—
165C22×C4×C61—21no—
166C22×C4×C61C2×D412yes—
167C22×C4×C61C2411yescharacteristic
168C22×Dic61—21no—
169C22×Dic61—21no—
170C22×Dic61—21no—
171C22×Dic61C2×D412yes—
172C22×Dic61C2×D411yescharacteristic
173#11758226—28no—
174#11758226—28no—
175#11758226—44no—
176#11758226—44no—
177Q8×D61—28no—
178Q8×D61—28no—
179Q8×D61—44no—
180Q8×D61—44no—
181C2×D244—21no—
182C2×D244—21no—
183C2×D244—21no—
184C2×D244—21no—
185C2×D244—24no—
186C2×D244—21no—
187C2×D244—42no—
188C2×D244—42no—
189C2×D244C22×C412yes—
190C2×C4×D61—24no—
191C2×C4×D61—24no—
192C2×C4×D61—24no—
193C2×C4×D61—24no—
194C2×C4×D61—42no—
195C2×C4×D61—42no—
196C2×C4×D61—42no—
197C2×C4×D61—42no—
198C2×C4×D61—42no—
199C2×C4×D61—44no—
200C2×C4×D61—42no—
201C2×C4×D61C22×C412yes—
202C2×C4×D61C2×D412yes—
203C2×C4×D61C2×D412yes—
204C2×C4×D61C2×D412yes—
205C2×C4×D61#4112yes—
206C2×C4×D61#4112yes—
207C2×Dic122—21no—
208C2×Dic122—21no—
209C2×Dic122—21no—
210C2×Dic122—21no—
211C2×Dic122—21no—
212C2×Dic122—24no—
213C2×Dic122—42no—
214C2×Dic122—42no—
215C2×Dic122C22×C412yes—
216Q16×C61—28no—
217C2×C8×C61—21no—
218C2×C8×C61—21no—
219C2×C8×C61C22×C412yes—
220C2×C8×C61C2×D412yes—
221C2×C8×C61C2×D412yes—
222C2×C8×C61C2×D412yes—
223C4⋊C4×C61—21no—
224C4⋊C4×C61—21no—
225C4⋊C4×C61—21no—
226C4⋊C4×C61—21no—
227C42×C61—21no—
228C42×C61—21no—
229#11758202—28no—
230#11758201—28no—
231#11758198—44no—
232#11758198—42no—
233#11758198—44no—
234C4⋊Dic61—21no—
235C4⋊Dic61—21no—
236C4⋊Dic61—21no—
237C4⋊Dic61—21no—
238#11758196—42no—
239C4×Dic61—21no—
240C4×Dic61—21no—
241C4×Dic61—24no—
242C4×Dic61—42no—
243C2×#92418—21no—
244C2×#92418—21no—
245C2×#92418C22×C412yes—
246C2×#92418C2×D412yes—
247C2×#92418C2×D412yes—
248C2×#92418C2×D412yes—
249#11758190—28no—
250#11758189—28no—
251#11758189C22⋊C4116yescomplemented
252C23×C61C22×D411yescharacteristic
253C22×D61—22no—
254C22×D61—22no—
255C22×D61—22no—
256C22×D61—41no—
257C22×D61—41no—
258C22×D61—42no—
259C22×D61—42no—
260C22×D61C4×D412yes—
261C22×D61#12112yes—
262C22×D61#12712yes—
263Q8×C61—22no—
264Q8×C61—22no—
265Q8×C61—22no—
266Q8×C61—22no—
267Q8×C61—41no—
268Q8×C61—41no—
269Q8×C61—41no—
270Q8×C61—41no—
271C2×C4×C61—22no—
272C2×C4×C61—22no—
273C2×C4×C61—22no—
274C2×C4×C61—22no—
275C2×C4×C61—22no—
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—42no—
283C2×C4×C61—42no—
284C2×C4×C61C23×C411yescharacteristic
285C2×C4×C61C22×D411yescharacteristic
286C2×C4×C61C22×D411yescharacteristic
287C2×C4×C61C22×D411yescharacteristic
288C2×C4×C61C2×#4111yescharacteristic
289C2×C4×C61C2×#4111yescharacteristic
290C2×Dic61—22no—
291C2×Dic61—22no—
292C2×Dic61—22no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—42no—
298C2×Dic61—42no—
299C2×Dic61C4×D412yes—
300C2×Dic61#12112yes—
301C2×Dic61#12712yes—
302C2×Dic61#13714yescomplemented
303D244—22no—
304D244—22no—
305D244—48no—
306D244—41no—
307D244—41no—
308C4×D61—48no—
309C4×D61—48no—
310C4×D61—48no—
311C4×D61—84no—
312C4×D61C2×C22⋊C414yes—
313C4×D61C4×D414yes—
314C4×D61#12114yes—
315C4×D61#12414yes—
316Dic122—22no—
317Dic122—22no—
318Dic122—41no—
319Dic122—41no—
320Dic122—48no—
321C8×C61—22no—
322C8×C61C2×C22⋊C414yes—
323#92418—22no—
324#92418C2×C22⋊C414yes—
325#21237—611nomaximal, Sylow
326C22×C61C2×C4×D411yescharacteristic
327C22×C61C2×#12111yescharacteristic
328C22×C61C2×#12711yescharacteristic
329C22×C61C2×#13712yes—
330C22×C61#57512yes—
331C2×D61—22no—
332C2×D61—22no—
333C2×D61—24no—
334C2×D61—24no—
335C2×D61—44no—
336C2×D61—42no—
337C2×D61—81no—
338C2×D61—81no—
339C2×D61—82no—
340C2×D61#39014yes—
341C4×C61—42no—
342C4×C61—42no—
343C4×C61—42no—
344C4×C61—81no—
345C4×C61—81no—
346C4×C61C22×C22⋊C411yescharacteristic
347C4×C61C2×C4×D411yescharacteristic
348C4×C61C2×#12111yescharacteristic
349C4×C61C2×#12411yescharacteristic
350Dic61—24no—
351Dic61—42no—
352Dic61—81no—
353Dic61—81no—
354Dic61#39014yes—
355C22×#137—611no—
356C2×#428—611no—
357C2×#417—611no—
358C2×#419—611no—
359C2×C4×M16—611no—
360#2297—611no—
361C2×#391—611no—
362#1973—611no—
363#1973—611no—
364#1971—611no—
365#1971D6111yescharacteristic, complemented
366#1969—611no—
367#1969—611no—
368#1968—611no—
369#1968—611no—
370C2×C61C2×#39011yescharacteristic
371C2×C61C4×#13712yes—
372C2×C61#305612yes—
373C2×C61#315211yescharacteristic
374C2×C61#315311yescharacteristic
375D61—24no—
376D61—82no—
377C22×#41—611no—
378C23×Q8—611no—
379C2×#137—618no—
380C2×#137—1224no—
381C2×#137—1224no—
382C22×Q16—611no—
383C22×Q16C2×D6111yescharacteristic
384C22×SD16—611no—
385C22×SD16—611no—
386C22×M16—611no—
387C22×M16—611no—
388C2×#117—611no—
389C22×C4⋊C4—611no—
390C22×C42—611no—
391#428—1224no—
392C2×#107—611no—
393C2×#107—611no—
394C2×#106—611no—
395C2×#106C2×D6111yescharacteristic
396#419—1224no—
397#417—1224no—
398C2×#103—611no—
399C2×#103—611no—
400C2×#103—611no—
401C2×#103—611no—
402C2×#103C2×D6111yescharacteristic
403C2×#103C2×D6111yescharacteristic
404C2×#102—611no—
405C2×#102—611no—
406C4×M16—1224no—
407C2×#97—611no—
408C2×#97C2×D6111yescharacteristic
409C2×C4×C8—611no—
410C2×C4×C8—611no—
411#391—611no—
412#391—611no—
413#391—611no—
414#391—611no—
415#391—1222no—
416#391C2×D6111yescharacteristic
417#391C2×D6111yescharacteristic
418#390—611no—
419#390—611no—
420#386—1222no—
421C4×C22⋊C4—1222no—
422C2×#95—1222no—
423C61#2123711yescharacteristic, complemented, Sylow
424C2×#41—614no—
425C2×#41—1222no—
426C2×#41—1222no—
427C2×#41—1222no—
428C2×#41—1222no—
429C2×#41—1222no—
430C22×Q8—614no—
431C22×Q8—611no—
432C22×Q8—1221no—
433C22×Q8—1222no—
434C22×Q8—1222no—
435C22×Q8—1222no—
436C22×Q8—1222no—
437C22×Q8—1222no—
438C22×Q8C22×D6111yescharacteristic
439C22×Q8C22×D6111yescharacteristic
440C22×D4—611no—
441C22×D4—1221no—
442C23×C4—611no—
443C23×C4—612no—
444C23×C4—1221no—
445C23×C4—1221no—
446C23×C4—1221no—
447#137—12232no—
448C2×Q16—22no—
449C2×Q16—22no—
450C2×Q16—614no—
451C2×Q16—1222no—
452C2×Q16—1222no—
453C2×Q16C4×D6114yescomplemented
454C2×SD16—614no—
455C2×SD16—614no—
456C2×SD16—1222no—
457C2×SD16—1222no—
458C2×SD16—1222no—
459C2×SD16—1222no—
460C2×M16—614no—
461C2×M16—614no—
462C2×M16—614no—
463C2×M16—614no—
464C2×M16—1222no—
465C2×M16—1222no—
466C22×C8—611no—
467C22×C8—611no—
468C22×C8C22×D6111yescharacteristic
469C22×C8C22×D6111yescharacteristic
470#117—1222no—
471#117—1222no—
472C2×C4⋊C4—611no—
473C2×C4⋊C4—611no—
474C2×C4⋊C4—1222no—
475C2×C4⋊C4—1222no—
476C2×C4⋊C4—1221no—
477C2×C4⋊C4C22×D6111yescharacteristic
478C2×C4⋊C4C22×D6111yescharacteristic
479C2×C22⋊C4—1222no—
480C2×C22⋊C4—1221no—
481C2×C22⋊C4—1222no—
482C2×C42—612no—
483C2×C42—611no—
484C2×C42—1222no—
485C2×C42—1222no—
486C2×C42—1221no—
487C2×C42C22×D6111yescharacteristic
488#107—1222no—
489#107—1222no—
490#106—22no—
491#106—1222no—
492#103—22no—
493#103—22no—
494#103—1222no—
495#103—1222no—
496#103—1222no—
497#103—1222no—
498#102—1222no—
499#102—1222no—
500#97—22no—
501#97—1222no—
502C4×C8—1222no—
503C4×C8—1222no—
504#95—22no—
505#95—22no—
506#95—1222no—
507#95—1222no—
508#95—1222no—
509#95—1222no—
510C24—611no—
511C24—1221no—
512#41—1228no—
513#41—1228no—
514#41—2444no—
515#41—2444no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8—612no—
527C2×Q8—1224no—
528C2×Q8—1228no—
529C2×Q8—1228no—
530C2×Q8—1221no—
531C2×Q8—1221no—
532C2×Q8—1221no—
533C2×Q8—1221no—
534C2×Q8—1221no—
535C2×Q8—2442no—
536C2×Q8—2442no—
537C2×Q8—2444no—
538C2×Q8—2444no—
539C2×Q8C2×C4×D6112yes—
540C2×Q8C2×C4×D6112yes—
541C2×D4—612no—
542C2×D4—1224no—
543C2×D4—1221no—
544C2×D4—1221no—
545C2×D4—1221no—
546C2×D4—1221no—
547C2×D4—1221no—
548C2×D4—2442no—
549C2×D4—2442no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—611no—
555C22×C4—612no—
556C22×C4—612no—
557C22×C4—612no—
558C22×C4—612no—
559C22×C4—612no—
560C22×C4—612no—
561C22×C4—612no—
562C22×C4—1224no—
563C22×C4—1224no—
564C22×C4—1224no—
565C22×C4—1224no—
566C22×C4—1221no—
567C22×C4—1221no—
568C22×C4—1221no—
569C22×C4—2442no—
570C22×C4—2442no—
571C22×C4—2442no—
572C22×C4—2442no—
573C22×C4—2444no—
574C22×C4—2442no—
575C22×C4—2442no—
576C22×C4D4×D6112yes—
577C22×C4C23×D6111yescharacteristic
578Q16—28no—
579Q16—1228no—
580SD16—1228no—
581SD16—1228no—
582M16—6116no—
583M16—1228no—
584C2×C8—21no—
585C2×C8—21no—
586C2×C8—612no—
587C2×C8—612no—
588C2×C8—612no—
589C2×C8—612no—
590C2×C8—1221no—
591C2×C8—1221no—
592C2×C8C2×C4×D6112yes—
593C2×C8D4×D6112yes—
594C2×C8D4×D6112yes—
595C2×C8D4×D6112yes—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—1221no—
601C4⋊C4—1221no—
602C4⋊C4—1221no—
603C4⋊C4—1221no—
604C4⋊C4—2442no—
605C22⋊C4—2444no—
606C22⋊C4—2444no—
607C22⋊C4—2442no—
608C42—21no—
609C42—21no—
610C42—1224no—
611C42—1221no—
612C42—1221no—
613C42—2442no—
614C23—612no—
615C23—612no—
616C23—612no—
617C23—1222no—
618C23—1222no—
619C23—1222no—
620C23—2441no—
621C23—2442no—
622C23—2441no—
623C23—2442no—
624C23C2×D4×D6111yescharacteristic
625Q8—22no—
626Q8—22no—
627Q8—22no—
628Q8—22no—
629Q8—41no—
630Q8—41no—
631Q8—41no—
632Q8—41no—
633Q8—1222no—
634Q8—1222no—
635Q8—2448no—
636Q8—2441no—
637Q8—2441no—
638D4—1222no—
639D4—1222no—
640D4—2448no—
641D4—2441no—
642D4—2441no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—42no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—42no—
656C2×C4—612no—
657C2×C4—612no—
658C2×C4—612no—
659C2×C4—614no—
660C2×C4—614no—
661C2×C4—614no—
662C2×C4—614no—
663C2×C4—614no—
664C2×C4—1222no—
665C2×C4—1222no—
666C2×C4—1222no—
667C2×C4—4884no—
668C2×C4—2448no—
669C2×C4—2448no—
670C2×C4—2448no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4—2442no—
674C2×C4—2442no—
675C2×C4—2441no—
676C2×C4—2441no—
677C2×C4C22×C4×D6111yescharacteristic
678C2×C4C2×D4×D6111yescharacteristic
679C2×C4C2×D4×D6111yescharacteristic
680C2×C4C2×D4×D6111yescharacteristic
681C2×C4#41×D6111yescharacteristic
682C2×C4#41×D6111yescharacteristic
683C8—22no—
684C8—614no—
685C8—1222no—
686C8C22⋊C4×D6114yes—
687C22—614no—
688C22—1224no—
689C22—1224no—
690C22—1222no—
691C22—1222no—
692C22—4882no—
693C22—4881no—
694C22—4881no—
695C22—2444no—
696C22—2442no—
697C22C4×D4×D6111yescharacteristic
698C22#121×D6111yescharacteristic
699C22#127×D6111yescharacteristic
700C22#137×D6112yes—
701C22#1684056112yes—
702C4—42no—
703C4—42no—
704C4—42no—
705C4—81no—
706C4—81no—
707C4—614no—
708C4—1224no—
709C4—4881no—
710C4—4881no—
711C4—2442no—
712C4C2×C22⋊C4×D6111yescharacteristic
713C4C4×D4×D6111yescharacteristic
714C4#121×D6111yescharacteristic
715C4#124×D6111yescharacteristic
716C2—1224no—
717C2—4882no—
718C2#390×D6111yescharacteristic
719C2#2145463512yes—
720C2#2145544812yes—
721C2#2145627511yescharacteristic
722C2#2145628211yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1971C2
socleC23×C61C22×D4
prime radicalC22×#11758226C22
cosocleC22×C4×C61C24
hypercenter#1971D61
hypocenterC61#21237
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1971

Complements

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

NH ≅ G/Ntype
2. C2×#16839801C2semidirect
4. C2×#16839769C2semidirect
5. C2×#16839714C2semidirect
7. #391×D61C2semidirect
8. #21446703C2semidirect
9. #21446700C2semidirect
10. #21446689C2semidirect
11. #21446681C2semidirect
12. #21446677C2semidirect
13. #21446671C2semidirect
14. #21446670C2semidirect
15. C61×#1971C2semidirect
20. C2×#14519809C4semidirect
86. C2×#11758202C2×C4semidirect
89. C2×#11758190C2×C4semidirect
92. C2×#11758201C2×C4semidirect
136. C2×Q16×C61C2×C4semidirect
251. #11758189C22⋊C4semidirect
302. C2×Dic61#137semidirect
365. #1971D61semidirect
423. C61#21237semidirect
453. C2×Q16C4×D61semidirect

Maximal subgroups

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

subgroupindex
C22×#145198092
C2×#168398012
C2×#168397622
C2×#168397692
C2×#168397142
#214483082
#391×D612
#214467032
#214467002
#214466892
#214466812
#214466772
#214466712
#214466702
C61×#19712
#2123761