Finite Group Databasebeta

← #29686400

Subgroups — #29686400

Order 15616.

1120 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839954C211yesmaximal, characteristic
2C2×#16839871C211yesmaximal, characteristic, complemented
3C2×#16839842C211yesmaximal, characteristic, complemented
4#21448545C211yesmaximal, characteristic, complemented
5#21448179C211yesmaximal, characteristic, complemented
6#21446587C211yesmaximal, characteristic, complemented
7#21446449C211yesmaximal, characteristic, complemented
8#21446442C211yesmaximal, characteristic, complemented
9#21446164C211yesmaximal, characteristic, complemented
10#21446164C211yesmaximal, characteristic, complemented
11#21445830C211yesmaximal, characteristic, complemented
12#21445678C211yesmaximal, characteristic, complemented
13#21445646C211yesmaximal, characteristic, complemented
14#102×Dic61C211yesmaximal, characteristic, complemented
15C61×#1982C211yesmaximal, characteristic, complemented
16C22×#11758199C2211yescharacteristic
17C22×#11758199C2211yescharacteristic
18C2×C4×D244C2211yescharacteristic
19C2×D4×Dic61C2211yescharacteristic
20C2×D4×Dic61C2211yescharacteristic
21C2×#14519739C2211yescharacteristic
22C2×#14519739C2211yescharacteristic
23#16839954C418yescomplemented
24#16839871—24no—
25#16839842—24no—
26C2×#14519710C2211yescharacteristic
27C2×#14519708C2211yescharacteristic
28C2×C4⋊#92418C2211yescharacteristic
29C2×#14519699C2211yescharacteristic
30C2×#14519699C2211yescharacteristic
31C2×#14519698C2211yescharacteristic
32C2×#14519698C2211yescharacteristic
33C2×#14519687C2211yescharacteristic
34C2×C8×Dic61C2211yescharacteristic
35#16839665C2211yescharacteristic
36#16839665C2211yescharacteristic
37#16839642—21no—
38#16839642—21no—
39#16839642—21no—
40#16839642—21no—
41#16839628C2211yescharacteristic
42C4⋊C4×Dic61C2211yescharacteristic
43C4⋊C4×Dic61C2211yescharacteristic
44C4×#11758198—21no—
45C4×#11758198—21no—
46#16839609—21no—
47#16839608C2211yescharacteristic
48#95×D61—21no—
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839516C2211yescharacteristic
54#16839516C2211yescharacteristic
55C2×#127×C61C2211yescharacteristic
56C2×C4⋊C8×C61C2211yescharacteristic
57C2×#102×C61C2211yescharacteristic
58C2×#102×C61C2211yescharacteristic
59C2×#102×C61C2211yescharacteristic
60C2×#102×C61C2211yescharacteristic
61C4×C4⋊C4×C61C2211yescharacteristic
62C22×D244C2311yescharacteristic
63C23×Dic61—21no—
64C23×Dic61—21no—
65C22×C4×D61—21no—
66C22×C4×D61—21no—
67C22×C4×D61—21no—
68C2×#11758199—22no—
69C2×#11758199—22no—
70C2×#11758199—22no—
71C2×#11758199—22no—
72C2×#11758199C2×C414yescomplemented
73C2×#11758199C2×C414yescomplemented
74C22×#92418C2311yescharacteristic
75C22×#92418C2311yescharacteristic
76C4×D244—22no—
77C4×D244C2×C414yescomplemented
78D4×Dic61—22no—
79D4×Dic61—22no—
80D4×Dic61—22no—
81D4×Dic61—22no—
82#14519739—22no—
83#14519739—22no—
84#14519739—22no—
85#14519739D414yescomplemented
86C2×C4⋊Dic61C2311yescharacteristic
87C2×C4⋊Dic61C2311yescharacteristic
88C2×C4⋊Dic61C2311yescharacteristic
89C2×C22⋊Dic61—21no—
90C2×C22⋊Dic61—21no—
91C2×C22⋊Dic61—21no—
92C2×C22⋊Dic61—21no—
93C2×C22⋊Dic61—21no—
94C2×C22⋊Dic61—21no—
95C2×#11758198—21no—
96C2×#11758198—21no—
97C2×#11758198—21no—
98C2×C4×Dic61—21no—
99C2×C4×Dic61—21no—
100C2×C4×Dic61C2311yescharacteristic
101C2×C4×Dic61C2311yescharacteristic
102#14519710—22no—
103#14519708—22no—
104C4⋊#92418C2×C414yescomplemented
105#14519699—22no—
106#14519699—22no—
107#14519698C2×C414yescomplemented
108#14519698C2×C414yescomplemented
109#14519687—22no—
110C8×Dic61—22no—
111#14519684—21no—
112#14519684—21no—
113#14519684—21no—
114#14519684—21no—
115#14519684D411yescharacteristic
116#14519684D411yescharacteristic
117#14519684D411yescharacteristic
118#14519684D411yescharacteristic
119C22×D4×C61—21no—
120C22×D4×C61—21no—
121C22×D4×C61C2311yescharacteristic
122C22×D4×C61C2311yescharacteristic
123C22×C8×C61C2311yescharacteristic
124C22×C8×C61C2311yescharacteristic
125#127×C61—22no—
126#127×C61C2×C414yescomplemented
127C2×C4⋊C4×C61C2311yescharacteristic
128C2×C4⋊C4×C61C2311yescharacteristic
129C2×C42×C61—21no—
130C2×C42×C61C2311yescharacteristic
131C4⋊C8×C61—22no—
132#102×C61—22no—
133#102×C61—22no—
134#102×C61—22no—
135#102×C61—22no—
136#95×C61—21no—
137C24×C61—21no—
138C24×C61—21no—
139C23×D61—21no—
140C2×D4×C61—24no—
141C2×D4×C61—24no—
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—81no—
153C2×D4×C61—81no—
154C2×D4×C61—81no—
155C2×D4×C61—81no—
156C2×D4×C61C22×C412yes—
157C2×D4×C61C22×C412yes—
158C22×C4×C61—21no—
159C22×C4×C61—21no—
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2411yescharacteristic
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—42no—
167C22×Dic61—42no—
168C22×Dic61—81no—
169C22×Dic61—81no—
170C22×Dic61—81no—
171C22×Dic61—81no—
172C22×Dic61C2×D411yescharacteristic
173C22×Dic61C2×D411yescharacteristic
174C22×Dic61C2×D411yescharacteristic
175C22×Dic61C2×D411yescharacteristic
176C2×D244—21no—
177C2×D244—21no—
178C2×D244—21no—
179C2×D244C22×C412yes—
180C2×D244C2×D412yes—
181C2×D244#4112yes—
182C2×C4×D61—24no—
183C2×C4×D61—24no—
184C2×C4×D61—24no—
185C2×C4×D61—81no—
186C2×C4×D61—81no—
187C2×C4×D61—81no—
188C2×C4×D61—81no—
189C2×C4×D61—81no—
190C2×C4×D61—81no—
191C2×C8×C61—21no—
192C2×C8×C61—21no—
193C2×C8×C61—21no—
194C2×C8×C61—21no—
195C2×C8×C61—21no—
196C2×C8×C61—21no—
197C4⋊C4×C61—21no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61C2×D412yes—
200C4⋊C4×C61#4112yes—
201C42×C61—81no—
202C42×C61C22×C412yes—
203C42×C61#4112yes—
204C22⋊Dic61—42no—
205C22⋊Dic61—42no—
206C22⋊Dic61—81no—
207C22⋊Dic61—81no—
208C22⋊Dic61—81no—
209C22⋊Dic61—81no—
210#11758199—28no—
211#11758199—28no—
212#11758198—24no—
213#11758198—24no—
214#11758198—24no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61C22×C412yes—
221C4×Dic61—21no—
222C4×Dic61—21no—
223C4×Dic61—81no—
224C4×Dic61—81no—
225C4×Dic61C2×D412yes—
226C4×Dic61#4112yes—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418C22×C412yes—
232C2×#92418C22×C412yes—
233C23×C61—22no—
234C23×C61—22no—
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×C61C22×D411yescharacteristic
248C22×D61—22no—
249C22×D61—22no—
250C22×D61—22no—
251C22×D61—41no—
252C22×D61—41no—
253C22×D61—41no—
254C22×D61—41no—
255D4×C61—22no—
256D4×C61—22no—
257D4×C61—22no—
258D4×C61—22no—
259D4×C61—41no—
260D4×C61—41no—
261D4×C61—41no—
262D4×C61—41no—
263D4×C61—84no—
264D4×C61—84no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—22no—
270C2×C4×C61—22no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61C4×D412yes—
276C2×C4×C61C4×D412yes—
277C2×C4×C61C23×C411yescharacteristic
278C2×C4×C61C22×D411yescharacteristic
279C2×C4×C61C2×#4111yescharacteristic
280C2×C4×C61C2×#4111yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×C4×C61C2×#4111yescharacteristic
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—22no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—21no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—84no—
303C2×Dic61—84no—
304C2×Dic61#12112yes—
305C2×Dic61#12112yes—
306D244—22no—
307D244—22no—
308D244—22no—
309D244C4×D414yes—
310C4×D61—84no—
311C4×D61—84no—
312C4×D61—84no—
313C8×C61—41no—
314C8×C61—41no—
315#92418—22no—
316#92418—22no—
317#21513—611nomaximal, Sylow
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—42no—
322C22×C61—42no—
323C22×C61—42no—
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×C61C2×C4×D411yescharacteristic
333C22×C61C2×#12111yescharacteristic
334C22×C61#52511yescharacteristic
335C22×C61#57611yescharacteristic
336C22×C61#57611yescharacteristic
337C22×C61#57611yescharacteristic
338C22×C61#57711yescharacteristic
339C2×D61—24no—
340C2×D61—42no—
341C2×D61—42no—
342C2×D61—42no—
343C2×D61—42no—
344C2×D61—42no—
345C2×D61—42no—
346C4×C61—22no—
347C4×C61—22no—
348C4×C61—42no—
349C4×C61—42no—
350C4×C61C2×C4×D411yescharacteristic
351C4×C61C4×#4111yescharacteristic
352C4×C61#52911yescharacteristic
353C4×C61#53211yescharacteristic
354Dic61—22no—
355Dic61—22no—
356Dic61—41no—
357Dic61—41no—
358Dic61—42no—
359Dic61—81no—
360Dic61—81no—
361C2×#459—611no—
362C2×#442—611no—
363C2×C4×D8—611no—
364#2328—611no—
365#2275—611no—
366#1982D6111yescharacteristic, complemented
367#1949—611no—
368#1926—611no—
369#1925—611no—
370#1879—611no—
371#1879—611no—
372#1804—611no—
373#1768—611no—
374#1762—611no—
375C4×#102—611no—
376C2×C61—82no—
377C2×C61—82no—
378C2×C61C4×#12111yescharacteristic
379C2×C61#294611yescharacteristic
380C2×C61#294811yescharacteristic
381C2×C61#304111yescharacteristic
382C2×C61#304511yescharacteristic
383C2×C61#311911yescharacteristic
384C2×C61#312211yescharacteristic
385D61—44no—
386C22×D8—611no—
387C22×D8—611no—
388C2×#127C2×D6111yescharacteristic
389C2×C4×D4—611no—
390C2×C4×D4—611no—
391C2×C4×D4—611no—
392C2×C4×D4—611no—
393C2×C4×D4—611no—
394#459—618no—
395#442—1224no—
396C4×D8—1224no—
397C2×#107—611no—
398C2×#106—611no—
399C2×C4⋊C8—611no—
400C2×C4⋊C8C2×D6111yescharacteristic
401C2×#102—611no—
402C2×#102—611no—
403C2×#102—611no—
404C2×#102—611no—
405C2×#102C2×D6111yescharacteristic
406C2×#102C2×D6111yescharacteristic
407C2×#102C2×D6111yescharacteristic
408C2×#102C2×D6111yescharacteristic
409C2×#97—611no—
410C2×C4×C8—611no—
411#390—611no—
412#390—611no—
413#386—1221no—
414#386—1221no—
415#386—1221no—
416#386—1221no—
417#382—611no—
418C4×C4⋊C4—611no—
419C4×C4⋊C4—611no—
420C4×C4⋊C4C2×D6111yescharacteristic
421C4×C22⋊C4—1221no—
422C4×C22⋊C4—1221no—
423C4×C22⋊C4—1221no—
424#376—611no—
425C2×#95—1221no—
426#340—611no—
427#340—611no—
428#340—611no—
429#340—611no—
430#336—611no—
431#336—611no—
432C61#2151311yescharacteristic, complemented, Sylow
433C22×D4—21no—
434C22×D4—21no—
435C22×D4—611no—
436C22×D4C22×D6111yescharacteristic
437C22×D4C22×D6111yescharacteristic
438C23×C4—1221no—
439C23×C4—1221no—
440C23×C4—1221no—
441C23×C4—1221no—
442C23×C4—1221no—
443C2×D8—614no—
444C2×D8—614no—
445C2×D8—1222no—
446C2×D8—1222no—
447C2×D8—1222no—
448C2×D8—1222no—
449C22×C8—611no—
450C22×C8—611no—
451C22×C8C22×D6111yescharacteristic
452C22×C8C22×D6111yescharacteristic
453#127—22no—
454#127C4×D6114yescomplemented
455C4×D4—614no—
456C4×D4—614no—
457C4×D4—1222no—
458C4×D4—1222no—
459C4×D4—1222no—
460C4×D4—1222no—
461C4×D4—1222no—
462C4×D4—1222no—
463C4×D4—1222no—
464C4×D4—1222no—
465C2×C4⋊C4—611no—
466C2×C4⋊C4—611no—
467C2×C4⋊C4—611no—
468C2×C4⋊C4C22×D6111yescharacteristic
469C2×C4⋊C4C22×D6111yescharacteristic
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C22⋊C4—1221no—
478C2×C22⋊C4—1221no—
479C2×C42—21no—
480C2×C42—611no—
481C2×C42—611no—
482C2×C42—1221no—
483C2×C42—1221no—
484C2×C42C22×D6111yescharacteristic
485#107—1222no—
486#106—1222no—
487C4⋊C8—22no—
488C4⋊C8—614no—
489#102—22no—
490#102—22no—
491#102—22no—
492#102—22no—
493#102—614no—
494#102—614no—
495#102—1222no—
496#102—1222no—
497#97—1222no—
498C4×C8—1222no—
499#95—21no—
500#95—611no—
501#95—611no—
502#95—611no—
503#95—611no—
504#95—1221no—
505#95—1221no—
506#95—1221no—
507#95—1221no—
508C24—21no—
509C24—21no—
510C24—1221no—
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—24no—
522C2×D4—24no—
523C2×D4—81no—
524C2×D4—81no—
525C2×D4—81no—
526C2×D4—81no—
527C2×D4—612no—
528C2×D4—612no—
529C2×D4—612no—
530C2×D4—1221no—
531C2×D4—1221no—
532C2×D4—1221no—
533C2×D4C2×C4×D6112yes—
534C2×D4C2×C4×D6112yes—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—611no—
538C22×C4—611no—
539C22×C4—611no—
540C22×C4—611no—
541C22×C4—1224no—
542C22×C4—1224no—
543C22×C4—1221no—
544C22×C4—1224no—
545C22×C4—1221no—
546C22×C4—1221no—
547C22×C4—4881no—
548C22×C4—4881no—
549C22×C4—4881no—
550C22×C4—4881no—
551C22×C4—4881no—
552C22×C4—4881no—
553C22×C4—4881no—
554C22×C4—4881no—
555C22×C4—4881no—
556C22×C4—4881no—
557C22×C4—2442no—
558C22×C4—2442no—
559C22×C4D4×D6111yescharacteristic
560C22×C4D4×D6111yescharacteristic
561C22×C4C23×D6111yescharacteristic
562D8—1228no—
563D8—1228no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—612no—
571C2×C8—612no—
572C2×C8—1221no—
573C2×C8—1221no—
574C2×C8—1221no—
575C2×C8—1221no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—612no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—1221no—
582C4⋊C4—1221no—
583C4⋊C4—1221no—
584C4⋊C4D4×D6112yes—
585C4⋊C4#1175822412yes—
586C22⋊C4—1224no—
587C22⋊C4—1224no—
588C22⋊C4—1224no—
589C22⋊C4—4881no—
590C22⋊C4—4881no—
591C22⋊C4—4881no—
592C22⋊C4—4881no—
593C22⋊C4—2442no—
594C22⋊C4—2442no—
595C42—81no—
596C42—612no—
597C42—612no—
598C42—1221no—
599C42—1221no—
600C42—4881no—
601C42—4881no—
602C42C2×C4×D6112yes—
603C42#1175822412yes—
604C23—22no—
605C23—22no—
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—1222no—
619C23—1222no—
620C23—1222no—
621C23—2441no—
622C23—2441no—
623C23—2441no—
624C23—2441no—
625C23C2×D4×D6111yescharacteristic
626D4—22no—
627D4—22no—
628D4—22no—
629D4—22no—
630D4—41no—
631D4—41no—
632D4—41no—
633D4—41no—
634D4—84no—
635D4—84no—
636D4—614no—
637D4—1222no—
638D4—1222no—
639D4—1222no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—612no—
651C2×C4—612no—
652C2×C4—1221no—
653C2×C4—1221no—
654C2×C4—1221no—
655C2×C4—1221no—
656C2×C4—1222no—
657C2×C4—1221no—
658C2×C4—1221no—
659C2×C4—1221no—
660C2×C4—1221no—
661C2×C4—1221no—
662C2×C4—1221no—
663C2×C4—4884no—
664C2×C4—4884no—
665C2×C4—4884no—
666C2×C4—4884no—
667C2×C4—4884no—
668C2×C4—2441no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4—2441no—
674C2×C4—2441no—
675C2×C4—2441no—
676C2×C4#1451973712yes—
677C2×C4#1451973712yes—
678C2×C4C22×C4×D6111yescharacteristic
679C2×C4C2×D4×D6111yescharacteristic
680C2×C4#41×D6111yescharacteristic
681C2×C4#41×D6111yescharacteristic
682C2×C4C2×#1175822411yescharacteristic
683C2×C4C2×#1175822411yescharacteristic
684C8—41no—
685C8—41no—
686C8—1222no—
687C8—1222no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22—81no—
698C22—81no—
699C22—81no—
700C22—81no—
701C22—81no—
702C22—1224no—
703C22—2442no—
704C22—2442no—
705C22—2442no—
706C22—2442no—
707C22—2442no—
708C22—2442no—
709C22C2×#1451973711yescharacteristic
710C22#121×D6111yescharacteristic
711C22#1684027211yescharacteristic
712C22#1684056311yescharacteristic
713C22#1684056611yescharacteristic
714C22#1684056611yescharacteristic
715C22#1684056811yescharacteristic
716C4—22no—
717C4—22no—
718C4—42no—
719C4—42no—
720C4—1222no—
721C4—1222no—
722C4—4881no—
723C4—4881no—
724C4—2442no—
725C4—2441no—
726C4—2441no—
727C4C4×D4×D6111yescharacteristic
728C4C4×#1175822411yescharacteristic
729C4#1684029111yescharacteristic
730C4#1684031011yescharacteristic
731C2—82no—
732C2—82no—
733C2—2444no—
734C2#2144833511yescharacteristic
735C2#2145464511yescharacteristic
736C2#2145466711yescharacteristic
737C2#2145531711yescharacteristic
738C2#2145535511yescharacteristic
739C2#2145601711yescharacteristic
740C2#2145606011yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1982C2
socleC23×C61C22×D4
prime radicalC2×#16839954C2
cosocleC22×C4×C61C24
hypercenter#1982D61
hypocenterC61#21513
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1982

Complements

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

NH ≅ G/Ntype
2. C2×#16839871C2semidirect
3. C2×#16839842C2semidirect
4. #21448545C2semidirect
5. #21448179C2semidirect
6. #21446587C2semidirect
7. #21446449C2semidirect
8. #21446442C2semidirect
9. #21446164C2semidirect
10. #21446164C2semidirect
11. #21445830C2semidirect
12. #21445678C2semidirect
13. #21445646C2semidirect
14. #102×Dic61C2semidirect
15. C61×#1982C2semidirect
23. #16839954C4semidirect
72. C2×#11758199C2×C4semidirect
73. C2×#11758199C2×C4semidirect
77. C4×D244C2×C4semidirect
85. #14519739D4semidirect
104. C4⋊#92418C2×C4semidirect
107. #14519698C2×C4semidirect
108. #14519698C2×C4semidirect
126. #127×C61C2×C4semidirect
366. #1982D61semidirect
432. C61#21513semidirect
454. #127C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399542
C2×#168398712
C2×#168398422
#214485452
#214481792
#214465872
#214464492
#214464422
#214461642
#214458302
#214456782
#214456462
#102×Dic612
C61×#19822
#2151361