Finite Group Databasebeta

← #29686399

Subgroups — #29686399

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×#16839958C211yesmaximal, characteristic
2C2×#16839875C211yesmaximal, characteristic, complemented
3C2×C4×D488C211yesmaximal, characteristic, complemented
4#21448544C211yesmaximal, characteristic, complemented
5#21448181C211yesmaximal, characteristic, complemented
6#21446745C211yesmaximal, characteristic, complemented
7#21446589C211yesmaximal, characteristic, complemented
8#21446447C211yesmaximal, characteristic, complemented
9#21446440C211yesmaximal, characteristic, complemented
10#21446166C211yesmaximal, characteristic, complemented
11#21446166C211yesmaximal, characteristic, complemented
12#21445830C211yesmaximal, characteristic, complemented
13#21445645C211yesmaximal, characteristic, complemented
14C4×#14519699C211yesmaximal, characteristic, complemented
15C61×#1768C211yesmaximal, characteristic, complemented
16C22×D488C2211yescharacteristic
17C22×D488C2211yescharacteristic
18C2×#14519774C2211yescharacteristic
19C2×C4×D244C2211yescharacteristic
20C2×C4×D244C2211yescharacteristic
21C2×C4×D244C2211yescharacteristic
22C2×C4×D244C2211yescharacteristic
23C2×C4×D244C2211yescharacteristic
24#16839958C418yescomplemented
25#16839875—24no—
26C4×D488—24no—
27C2×#14519711C2211yescharacteristic
28C2×#14519709C2211yescharacteristic
29C2×#14519699C2211yescharacteristic
30C2×#14519699C2211yescharacteristic
31C2×#14519699C2211yescharacteristic
32C2×#14519699C2211yescharacteristic
33C2×#14519699C2211yescharacteristic
34C2×#14519699C2211yescharacteristic
35C2×#14519699C2211yescharacteristic
36C2×#14519699C2211yescharacteristic
37#16839664C2211yescharacteristic
38#16839664C2211yescharacteristic
39#16839640—21no—
40#16839640—21no—
41#16839640—21no—
42#16839640—21no—
43#16839628C2211yescharacteristic
44C4×C4⋊Dic61C2211yescharacteristic
45C4×C4⋊Dic61C2211yescharacteristic
46C4×C4⋊Dic61C2211yescharacteristic
47#16839609—21no—
48#16839609—21no—
49#16839609—21no—
50#95×D61—21no—
51#16839525C2211yescharacteristic
52#16839525C2211yescharacteristic
53#16839525C2211yescharacteristic
54#16839525C2211yescharacteristic
55C2×C4⋊C8×C61C2211yescharacteristic
56C2×C4⋊C8×C61C2211yescharacteristic
57C2×#97×C61C2211yescharacteristic
58C2×C4×C8×C61C2211yescharacteristic
59C61×#376C2211yescharacteristic
60C61×#336C2211yescharacteristic
61C61×#336C2211yescharacteristic
62C22×D244—21no—
63C22×D244—21no—
64C22×D244C2311yescharacteristic
65C22×D244C2311yescharacteristic
66C22×D244C2311yescharacteristic
67C22×C4×D61—21no—
68C22×C4×D61—21no—
69C22×C4×D61—21no—
70C22×C4×D61—21no—
71C22×C4×D61—21no—
72C2×D488—22no—
73C2×D488—22no—
74C2×D488—22no—
75C2×D488—22no—
76C2×D488C2×C414yescomplemented
77C2×D488C2×C414yescomplemented
78#14519774—22no—
79#14519774C2×C414yescomplemented
80C4×D244—22no—
81C4×D244—22no—
82C4×D244—22no—
83C4×D244—22no—
84C4×D244—22no—
85C4×D244—22no—
86C4×D244—22no—
87C4×D244—22no—
88C4×D244C2×C414yescomplemented
89C4×D244D414yescomplemented
90C2×C4⋊Dic61C2311yescharacteristic
91C2×C4⋊Dic61C2311yescharacteristic
92C2×C4⋊Dic61C2311yescharacteristic
93C2×C4⋊Dic61C2311yescharacteristic
94C2×C4⋊Dic61C2311yescharacteristic
95C2×#11758198—21no—
96C2×#11758198—21no—
97C2×#11758198—21no—
98C2×#11758198—21no—
99C2×#11758198—21no—
100C2×#11758198—21no—
101C2×#11758198—21no—
102C2×#11758198—21no—
103C2×#11758198—21no—
104C2×C4×Dic61—21no—
105C2×C4×Dic61—21no—
106C2×C4×Dic61—21no—
107#14519711—22no—
108#14519709—22no—
109#14519699—22no—
110#14519699—22no—
111#14519699—22no—
112#14519699—22no—
113#14519699—22no—
114#14519699—22no—
115#14519699C2×C414yescomplemented
116#14519699C2×C414yescomplemented
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122C22×C8×C61C2311yescharacteristic
123C22×C8×C61C2311yescharacteristic
124C22×C8×C61C2311yescharacteristic
125C22×C8×C61C2311yescharacteristic
126C2×C42×C61C2311yescharacteristic
127C2×C42×C61C2311yescharacteristic
128C2×C42×C61C2311yescharacteristic
129C4⋊C8×C61—22no—
130C4⋊C8×C61C2×C414yescomplemented
131#97×C61—22no—
132C4×C8×C61—22no—
133#95×C61D411yescharacteristic
134#95×C61D411yescharacteristic
135#95×C61D411yescharacteristic
136#95×C61D411yescharacteristic
137C23×D61—21no—
138C23×D61—21no—
139C23×D61—21no—
140C22×C4×C61C2×D411yescharacteristic
141C22×C4×C61C2×D411yescharacteristic
142C22×C4×C61C2×D411yescharacteristic
143C22×C4×C61C2×D411yescharacteristic
144C22×C4×C61C2×D411yescharacteristic
145C22×C4×C61C2×D411yescharacteristic
146C22×C4×C61C2411yescharacteristic
147C22×Dic61—21no—
148C22×Dic61—21no—
149C22×Dic61—21no—
150C22×Dic61—21no—
151C22×Dic61—21no—
152C2×D244—21no—
153C2×D244—21no—
154C2×D244—21no—
155C2×D244—21no—
156C2×D244—21no—
157C2×D244—21no—
158C2×D244—21no—
159C2×D244—21no—
160C2×D244—21no—
161C2×D244—21no—
162C2×D244—21no—
163C2×D244—21no—
164C2×D244—21no—
165C2×D244—24no—
166C2×D244—24no—
167C2×D244—81no—
168C2×D244—81no—
169C2×D244—81no—
170C2×D244—81no—
171C2×D244C22×C412yes—
172C2×D244C22×C412yes—
173C2×D244C22×C412yes—
174C2×D244C2×D412yes—
175C2×D244#4112yes—
176C2×C4×D61—24no—
177C2×C4×D61—24no—
178C2×C4×D61—24no—
179C2×C4×D61—42no—
180C2×C4×D61—42no—
181C2×C4×D61—81no—
182C2×C4×D61—81no—
183C2×C4×D61—81no—
184C2×C4×D61—81no—
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—
197C2×C8×C61—21no—
198C2×C8×C61—21no—
199C2×C8×C61—21no—
200C2×C8×C61—21no—
201C2×C8×C61C22×C412yes—
202C2×C8×C61C22×C412yes—
203C42×C61—21no—
204C42×C61—21no—
205C42×C61C22×C412yes—
206C42×C61C2×D412yes—
207C42×C61#4112yes—
208C42×C61#4112yes—
209#11758198—24no—
210#11758198—24no—
211#11758198—24no—
212#11758198—42no—
213#11758198—42no—
214#11758198—81no—
215#11758198—81no—
216#11758198—81no—
217#11758198—81no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—21no—
221C4⋊Dic61—21no—
222C4⋊Dic61—21no—
223C4⋊Dic61—21no—
224C4⋊Dic61—21no—
225C4⋊Dic61C22×C412yes—
226C4⋊Dic61C2×D412yes—
227C4⋊Dic61#4112yes—
228C4×Dic61—81no—
229C4×Dic61—81no—
230C4×Dic61—81no—
231D488—28no—
232D488—28no—
233C23×C61C22×D411yescharacteristic
234C22×D61—22no—
235C22×D61—22no—
236C22×D61—22no—
237C22×D61—22no—
238C22×D61—22no—
239C22×D61—41no—
240C22×D61—41no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—41no—
247C22×D61—41no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—41no—
252C22×D61—41no—
253C22×D61—41no—
254C22×D61—41no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61C4×D412yes—
270C2×C4×C61C4×D412yes—
271C2×C4×C61#12112yes—
272C2×C4×C61#12112yes—
273C2×C4×C61C23×C411yescharacteristic
274C2×C4×C61C22×D411yescharacteristic
275C2×C4×C61C2×#4111yescharacteristic
276C2×C4×C61C2×#4111yescharacteristic
277C2×C4×C61C2×#4111yescharacteristic
278C2×C4×C61C2×#4111yescharacteristic
279C2×Dic61—22no—
280C2×Dic61—22no—
281C2×Dic61—22no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294D244—22no—
295D244—22no—
296D244—22no—
297D244—22no—
298D244—22no—
299D244—22no—
300D244—22no—
301D244—41no—
302D244—41no—
303D244—41no—
304D244—41no—
305D244—84no—
306D244—84no—
307D244C4×D414yes—
308C4×D61—84no—
309C4×D61—84no—
310C4×D61—84no—
311C4×D61—84no—
312C4×D61—84no—
313C8×C61—22no—
314C8×C61—22no—
315C8×C61—41no—
316C8×C61—41no—
317#21513—611nomaximal, Sylow
318C22×C61C2×C4×D411yescharacteristic
319C22×C61C2×#12111yescharacteristic
320C22×C61#52511yescharacteristic
321C22×C61#57611yescharacteristic
322C22×C61#57611yescharacteristic
323C22×C61#57611yescharacteristic
324C22×C61#57711yescharacteristic
325C2×D61—24no—
326C2×D61—42no—
327C2×D61—42no—
328C2×D61—42no—
329C2×D61—42no—
330C2×D61—42no—
331C2×D61—42no—
332C2×D61—42no—
333C2×D61—42no—
334C2×D61—42no—
335C2×D61—42no—
336C2×D61—42no—
337C2×D61—42no—
338C2×D61—81no—
339C2×D61—81no—
340C2×D61—81no—
341C2×D61—81no—
342C2×D61—81no—
343C2×D61—81no—
344C2×D61—81no—
345C2×D61—81no—
346C4×C61—22no—
347C4×C61—22no—
348C4×C61—22no—
349C4×C61—22no—
350C4×C61—41no—
351C4×C61—41no—
352C4×C61C2×C4×D411yescharacteristic
353C4×C61C4×#4111yescharacteristic
354C4×C61#52911yescharacteristic
355C4×C61#53211yescharacteristic
356Dic61—42no—
357Dic61—42no—
358Dic61—42no—
359Dic61—81no—
360Dic61—81no—
361C2×#459—611no—
362C2×#442—611no—
363C2×C4×D8—611no—
364#2328—611no—
365#2275—611no—
366#1982—611no—
367#1949—611no—
368#1926—611no—
369#1925—611no—
370#1879—611no—
371#1879—611no—
372#1804—611no—
373#1768D6111yescharacteristic, complemented
374#1762—611no—
375C4×#102—611no—
376C2×C61C4×#12111yescharacteristic
377C2×C61#294611yescharacteristic
378C2×C61#294811yescharacteristic
379C2×C61#304111yescharacteristic
380C2×C61#304511yescharacteristic
381C2×C61#311911yescharacteristic
382C2×C61#312211yescharacteristic
383D61—44no—
384D61—82no—
385D61—82no—
386C22×D8—611no—
387C22×D8—611no—
388C2×#127—611no—
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⋊C8C2×D6111yescharacteristic
400C2×C4⋊C8C2×D6111yescharacteristic
401C2×#102—611no—
402C2×#102—611no—
403C2×#102—611no—
404C2×#102—611no—
405C2×#102—611no—
406C2×#102—611no—
407C2×#102—611no—
408C2×#102—611no—
409C2×#97C2×D6111yescharacteristic
410C2×C4×C8C2×D6111yescharacteristic
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⋊C4—611no—
421C4×C22⋊C4—1221no—
422C4×C22⋊C4—1221no—
423C4×C22⋊C4—1221no—
424#376C2×D6111yescharacteristic
425C2×#95—1221no—
426#340—611no—
427#340—611no—
428#340—611no—
429#340—611no—
430#336C2×D6111yescharacteristic
431#336C2×D6111yescharacteristic
432C61#2151311yescharacteristic, complemented, Sylow
433C22×D4—611no—
434C22×D4—611no—
435C22×D4—611no—
436C22×D4—1221no—
437C22×D4—1221no—
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×C8C22×D6111yescharacteristic
450C22×C8C22×D6111yescharacteristic
451C22×C8C22×D6111yescharacteristic
452C22×C8C22×D6111yescharacteristic
453#127—614no—
454#127—1222no—
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⋊C4—611no—
469C2×C4⋊C4—611no—
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—1221no—
480C2×C42—1221no—
481C2×C42—1221no—
482C2×C42C22×D6111yescharacteristic
483C2×C42C22×D6111yescharacteristic
484C2×C42C22×D6111yescharacteristic
485#107—1222no—
486#106—1222no—
487C4⋊C8—22no—
488C4⋊C8C4×D6114yescomplemented
489#102—614no—
490#102—614no—
491#102—1222no—
492#102—1222no—
493#102—1222no—
494#102—1222no—
495#102—1222no—
496#102—1222no—
497#97—22no—
498C4×C8—22no—
499#95—1221no—
500#95—1221no—
501#95—1221no—
502#95—1221no—
503#95—1221no—
504#95D24411yescharacteristic
505#95D24411yescharacteristic
506#95D24411yescharacteristic
507#95D24411yescharacteristic
508C24—1221no—
509C24—1221no—
510C24—1221no—
511C2×D4—612no—
512C2×D4—612no—
513C2×D4—612no—
514C2×D4—612no—
515C2×D4—612no—
516C2×D4—1221no—
517C2×D4—1221no—
518C2×D4—1221no—
519C2×D4—1221no—
520C2×D4—1221no—
521C2×D4—1221no—
522C2×D4—1221no—
523C2×D4—1221no—
524C2×D4—1221no—
525C2×D4—1221no—
526C2×D4—1221no—
527C2×D4—1221no—
528C2×D4—1221no—
529C2×D4—1224no—
530C2×D4—1224no—
531C2×D4—4881no—
532C2×D4—4881no—
533C2×D4—4881no—
534C2×D4—4881no—
535C22×C4—1224no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1224no—
540C22×C4—1224no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—4881no—
544C22×C4—4881no—
545C22×C4—4881no—
546C22×C4—4881no—
547C22×C4—4881no—
548C22×C4—4881no—
549C22×C4—4881no—
550C22×C4—4881no—
551C22×C4—4881no—
552C22×C4—4881no—
553C22×C4—2442no—
554C22×C4—2442no—
555C22×C4C2×D24411yescharacteristic
556C22×C4C2×D24411yescharacteristic
557C22×C4C2×D24411yescharacteristic
558C22×C4C2×D24411yescharacteristic
559C22×C4C2×D24411yescharacteristic
560C22×C4C2×D24411yescharacteristic
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—21no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—21no—
574C2×C8C2×C4×D6112yes—
575C2×C8C2×C4×D6112yes—
576C4⋊C4—612no—
577C4⋊C4—612no—
578C4⋊C4—612no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—1221no—
582C4⋊C4—1221no—
583C4⋊C4—1221no—
584C4⋊C4—1221no—
585C4⋊C4—1221no—
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—21no—
596C42—21no—
597C42—4881no—
598C42—4881no—
599C42—4881no—
600C42C2×C4×D6112yes—
601C42#1175822212yes—
602C42D4×D6112yes—
603C42#1175822612yes—
604C23—1222no—
605C23—1222no—
606C23—1222no—
607C23—1222no—
608C23—1222no—
609C23—2441no—
610C23—2441no—
611C23—2441no—
612C23—2441no—
613C23—2441no—
614C23—2441no—
615C23—2441no—
616C23—2441no—
617C23—2441no—
618C23—2441no—
619C23—2441no—
620C23—2441no—
621C23—2441no—
622C23—2441no—
623C23—2441no—
624C23—2441no—
625C23C22×D24411yescharacteristic
626D4—614no—
627D4—1222no—
628D4—1222no—
629D4—1222no—
630D4—1222no—
631D4—1222no—
632D4—1222no—
633D4—1222no—
634D4—4884no—
635D4—4884no—
636D4—2441no—
637D4—2441no—
638D4—2441no—
639D4—2441no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—4884no—
658C2×C4—4884no—
659C2×C4—4884no—
660C2×C4—4884no—
661C2×C4—4884no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2441no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4—2441no—
674C2×C4C4×D24412yes—
675C2×C4C4×D24412yes—
676C2×C4#1451975212yes—
677C2×C4#1451975212yes—
678C2×C4C22×C4×D6111yescharacteristic
679C2×C4C2×D4×D6111yescharacteristic
680C2×C4#41×D6111yescharacteristic
681C2×C4#41×D6111yescharacteristic
682C2×C4C2×#1175822211yescharacteristic
683C2×C4C2×#1175822611yescharacteristic
684C8—22no—
685C8—22no—
686C8—41no—
687C8—41no—
688C22—1224no—
689C22—4881no—
690C22—4881no—
691C22—4881no—
692C22—4881no—
693C22—4881no—
694C22—4881no—
695C22—4881no—
696C22—4881no—
697C22—2442no—
698C22—2442no—
699C22—2442no—
700C22—2442no—
701C22—2442no—
702C22—2442no—
703C22—2442no—
704C22—2442no—
705C22—2442no—
706C22—2442no—
707C22—2442no—
708C22—2442no—
709C22C2×C4×D24411yescharacteristic
710C22C2×#1451975211yescharacteristic
711C22#1684027411yescharacteristic
712C22#1684056711yescharacteristic
713C22#1684056711yescharacteristic
714C22#1684056711yescharacteristic
715C22#1684057411yescharacteristic
716C4—22no—
717C4—22no—
718C4—22no—
719C4—22no—
720C4—41no—
721C4—41no—
722C4—4881no—
723C4—4881no—
724C4—2442no—
725C4—2442no—
726C4—2442no—
727C4C4×D4×D6111yescharacteristic
728C4C4×#1175822611yescharacteristic
729C4#1684029911yescharacteristic
730C4#1684030911yescharacteristic
731C2—4882no—
732C2—4882no—
733C2—2444no—
734C2C4×#1451975211yescharacteristic
735C2#2145465311yescharacteristic
736C2#2145467211yescharacteristic
737C2#2145532311yescharacteristic
738C2#2145536011yescharacteristic
739C2#2145602011yescharacteristic
740C2#2145606311yescharacteristic
subgroupG/H
centerC23C22×D244
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1768C2
socleC23×C61C22×D4
prime radicalC2×#16839958C2
cosocleC22×C4×C61C24
hypercenter#1768D61
hypocenterC61#21513
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ #376 ◁ #1768

Complements

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

NH ≅ G/Ntype
2. C2×#16839875C2semidirect
3. C2×C4×D488C2semidirect
4. #21448544C2semidirect
5. #21448181C2semidirect
6. #21446745C2semidirect
7. #21446589C2semidirect
8. #21446447C2semidirect
9. #21446440C2semidirect
10. #21446166C2semidirect
11. #21446166C2semidirect
12. #21445830C2semidirect
13. #21445645C2semidirect
14. C4×#14519699C2semidirect
15. C61×#1768C2semidirect
24. #16839958C4semidirect
76. C2×D488C2×C4semidirect
77. C2×D488C2×C4semidirect
79. #14519774C2×C4semidirect
88. C4×D244C2×C4semidirect
89. C4×D244D4semidirect
115. #14519699C2×C4semidirect
116. #14519699C2×C4semidirect
130. C4⋊C8×C61C2×C4semidirect
373. #1768D61semidirect
432. C61#21513semidirect
488. C4⋊C8C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399582
C2×#168398752
C2×C4×D4882
#214485442
#214481812
#214467452
#214465892
#214464472
#214464402
#214461662
#214458302
#214456452
C4×#145196992
C61×#17682
#2151361