Finite Group Databasebeta

← #29585586

Subgroups — #29585586

Order 15616.

1426 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840230C211yesmaximal, characteristic
2C22×#14519705C211yesmaximal, characteristic
3C22×#14519703C211yesmaximal, characteristic
4C2×#16839521C211yesmaximal, characteristic, complemented
5#21445512C211yesmaximal, characteristic, complemented
6C4×#14519684C211yesmaximal, characteristic, complemented
7C2×C61×#339C211yesmaximal, characteristic, complemented
8C22×#11758222C2211yescharacteristic
9C22×#11758194C2211yescharacteristic
10#16840230—22no—
11#16840230—22no—
12#16840230—22no—
13#16840230—22no—
14C2×#14519742C412yescomplemented
15C2×#14519739C412yescomplemented
16C2×#14519737—22no—
17C2×#14519734—21no—
18C22×C4×Dic61C2211yescharacteristic
19C22×C4×Dic61C2211yescharacteristic
20C2×C42×D61—21no—
21C2×#14519705—22no—
22C2×#14519705—22no—
23C2×#14519705C414yescomplemented
24C2×#14519703—22no—
25C2×#14519703—22no—
26C2×#14519703C414yescomplemented
27C2×#14519684—22no—
28#16839521—22no—
29#16839516—21no—
30#16839516—21no—
31C22×M16×C61C2211yescharacteristic
32C2×#117×C61C2211yescharacteristic
33C22×C42×C61C2211yescharacteristic
34C61×#339—22no—
35C2×#11758222—21no—
36C2×#11758222—21no—
37C2×#11758222—21no—
38C2×#11758222—21no—
39C2×#11758222—21no—
40C2×#11758222—21no—
41C2×#11758222C2×C412yes—
42C2×#11758222C2×C412yes—
43C2×#11758222D412yes—
44C2×#11758222D412yes—
45C2×#11758222D412yes—
46C2×#11758222Q812yes—
47C22×Dic122C2×C411yescharacteristic
48C22×D244C2×C411yescharacteristic
49C22×C22⋊D61—21no—
50C23×Dic61—21no—
51C23×Dic61D412yes—
52C22×C4×D61—21no—
53C22×C4×D61—22no—
54C2×#11758194—21no—
55C2×#11758194—21no—
56C2×#11758194—21no—
57C2×#11758194—21no—
58C2×#11758194—21no—
59C2×#11758194C2×C412yescomplemented
60C22×#92418—21no—
61#14519742—24no—
62#14519742—24no—
63#14519739—24no—
64#14519739—24no—
65#14519737—28no—
66#14519737—28no—
67#14519734—24no—
68#14519734—24no—
69C2×#11758196—22no—
70C2×#11758198—22no—
71C2×C4×Dic61—21no—
72C2×C4×Dic61—21no—
73C2×C4×Dic61—21no—
74C2×C4×Dic61—21no—
75C2×C4×Dic61—22no—
76C2×C4×Dic61—21no—
77C2×C4×Dic61—21no—
78C2×C4×Dic61—21no—
79C2×C4×Dic61—21no—
80C2×C4×Dic61—21no—
81C2×C4×Dic61C2×C412yes—
82C2×C4×Dic61C2×C412yescomplemented
83C2×C4×Dic61D411yescharacteristic
84C2×C4×Dic61D411yescharacteristic
85C42×D61—24no—
86C42×D61—24no—
87#14519705—28no—
88#14519703—28no—
89#14519684—28no—
90C23×C4×C61—21no—
91C23×C4×C61C2311yescharacteristic
92C2×M16×C61—21no—
93C2×M16×C61—21no—
94C2×M16×C61—21no—
95C2×M16×C61—21no—
96C2×M16×C61—21no—
97C2×M16×C61C2×C412yescomplemented
98C22×C8×C61—21no—
99#117×C61—21no—
100#117×C61—21no—
101#117×C61D412yes—
102#117×C61D412yes—
103C2×C4⋊C4×C61C2×C412yes—
104C2×C22⋊C4×C61—21no—
105C2×C42×C61—21no—
106C2×C42×C61—21no—
107C2×C42×C61—21no—
108C2×C42×C61—21no—
109C2×C42×C61—21no—
110C2×C42×C61—21no—
111C2×C42×C61C2×C412yescomplemented
112C24×C61C2×D411yescharacteristic
113C23×D61—21no—
114C22×C4×C61—24no—
115C22×C4×C61—22no—
116C22×C4×C61—22no—
117C22×C4×C61—42no—
118C22×C4×C61—41no—
119C22×C4×C61—41no—
120C22×C4×C61C22×C411yescharacteristic
121C22×C4×C61C22×C411yescharacteristic
122C22×C4×C61C22×C411yescharacteristic
123C22×C4×C61C2×D411yescharacteristic
124C22×C4×C61C2×D411yescharacteristic
125C22×C4×C61C2×D411yescharacteristic
126C22×C4×C61C2×D411yescharacteristic
127C22×C4×C61C2×D411yescharacteristic
128C22×C4×C61C2×D411yescharacteristic
129C22×C4×C61C2×Q811yescharacteristic
130C22×C4×C61#4111yescharacteristic
131C22×C4×C61#4111yescharacteristic
132C22×C4×C61#4111yescharacteristic
133C22×C4×C61#4111yescharacteristic
134C2×C22⋊D61—22no—
135C2×C22⋊D61—22no—
136C2×C22⋊D61—22no—
137C2×C22⋊D61—22no—
138C2×C22⋊D61—22no—
139C2×C22⋊D61—22no—
140C22×Dic61—21no—
141C22×Dic61—24no—
142C22×Dic61—22no—
143C22×Dic61—22no—
144C22×Dic61—22no—
145C22×Dic61—24no—
146C22×Dic61—42no—
147C22×Dic61—42no—
148C22×Dic61—41no—
149C22×Dic61—41no—
150C22×Dic61C22⋊C412yes—
151C22×Dic61C22⋊C412yes—
152#11758222—22no—
153#11758222—22no—
154#11758222—22no—
155#11758222—22no—
156#11758222—22no—
157#11758222—22no—
158#11758222—22no—
159#11758222—22no—
160#11758222—22no—
161#11758222—22no—
162#11758222—22no—
163#11758222—22no—
164#11758222C22⋊C414yes—
165#11758222C22⋊C414yes—
166#11758222C4⋊C414yes—
167#11758222C4⋊C414yes—
168C2×D244—21no—
169C2×D244—21no—
170C2×D244—21no—
171C2×D244C4212yes—
172C2×D244C22⋊C412yes—
173C2×D244C4⋊C412yes—
174C2×C4×D61—22no—
175C2×C4×D61—22no—
176C2×C4×D61—22no—
177C2×C4×D61—22no—
178C2×C4×D61—22no—
179C2×C4×D61—22no—
180C2×C4×D61—28no—
181C2×C4×D61—44no—
182C2×C4×D61—44no—
183C2×Dic122—21no—
184C2×Dic122—21no—
185C2×Dic122—21no—
186C2×Dic122C4212yes—
187C2×Dic122C22⋊C412yes—
188C2×Dic122C4⋊C412yes—
189M16×C61—22no—
190M16×C61—22no—
191M16×C61—41no—
192M16×C61—41no—
193C2×C8×C61—22no—
194C2×C8×C61—41no—
195C2×C8×C61—41no—
196C4⋊C4×C61—22no—
197C4⋊C4×C61C22⋊C414yes—
198C22⋊C4×C61—22no—
199C22⋊C4×C61—22no—
200C42×C61—22no—
201C42×C61—22no—
202C42×C61—22no—
203C42×C61—22no—
204C42×C61—41no—
205C42×C61—41no—
206#11758198—28no—
207#11758196—28no—
208C4×Dic61—28no—
209C4×Dic61—22no—
210C4×Dic61—22no—
211C4×Dic61—21no—
212C4×Dic61—21no—
213C4×Dic61—21no—
214C4×Dic61—21no—
215C4×Dic61—22no—
216C4×Dic61—22no—
217C4×Dic61—41no—
218C4×Dic61—41no—
219#11758194—22no—
220#11758194—22no—
221#11758194—41no—
222#11758194—41no—
223C2×#92418—22no—
224C2×#92418—41no—
225C2×#92418—41no—
226C23×C61—22no—
227C23×C61—22no—
228C23×C61C2×C22⋊C411yescharacteristic
229C23×C61C4×D411yescharacteristic
230C23×C61C4×D411yescharacteristic
231C23×C61#12011yescharacteristic
232C23×C61#12011yescharacteristic
233C23×C61#12111yescharacteristic
234C23×C61C22⋊Q811yescharacteristic
235C22×D61—22no—
236C22×D61—22no—
237C22×D61—22no—
238C22×D61—42no—
239C22×D61—42no—
240C2×C4×C61—24no—
241C2×C4×C61—24no—
242C2×C4×C61—44no—
243C2×C4×C61—42no—
244C2×C4×C61—44no—
245C2×C4×C61—42no—
246C2×C4×C61—42no—
247C2×C4×C61—42no—
248C2×C4×C61C2×C4211yescharacteristic
249C2×C4×C61C2×C22⋊C411yescharacteristic
250C2×C4×C61C2×C22⋊C411yescharacteristic
251C2×C4×C61C2×C22⋊C411yescharacteristic
252C2×C4×C61C2×C22⋊C411yescharacteristic
253C2×C4×C61C2×C4⋊C411yescharacteristic
254C2×C4×C61C2×C4⋊C411yescharacteristic
255C2×C4×C61C2×C4⋊C411yescharacteristic
256C2×C4×C61#11711yescharacteristic
257C2×C4×C61#11711yescharacteristic
258C2×C4×C61C4×D411yescharacteristic
259C2×C4×C61C4×D411yescharacteristic
260C2×C4×C61C4×D411yescharacteristic
261C2×C4×C61C4×D411yescharacteristic
262C2×C4×C61C4×D411yescharacteristic
263C2×C4×C61C4×D411yescharacteristic
264C2×C4×C61#12011yescharacteristic
265C2×C4×C61#12011yescharacteristic
266C2×C4×C61#12111yescharacteristic
267C2×C4×C61#12111yescharacteristic
268C2×C4×C61#12111yescharacteristic
269C2×C4×C61C22⋊Q811yescharacteristic
270C2×C4×C61C22⋊Q811yescharacteristic
271C2×C4×C61C22⋊Q811yescharacteristic
272C2×C4×C61#12311yescharacteristic
273C2×C4×C61#12311yescharacteristic
274C2×C4×C61#12311yescharacteristic
275C2×C4×C61#12311yescharacteristic
276C22⋊D61—24no—
277C22⋊D61—24no—
278C22⋊D61—24no—
279C22⋊D61—24no—
280C2×Dic61—22no—
281C2×Dic61—22no—
282C2×Dic61—22no—
283C2×Dic61—22no—
284C2×Dic61—22no—
285C2×Dic61—24no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—22no—
289C2×Dic61—44no—
290C2×Dic61—44no—
291C2×Dic61—44no—
292C2×Dic61—42no—
293C2×Dic61—44no—
294C2×Dic61—42no—
295C2×Dic61#10414yescomplemented
296D244—22no—
297D244—22no—
298D244—22no—
299D244#9514yescomplemented
300C4×D61—24no—
301C4×D61—24no—
302C4×D61—24no—
303C4×D61—24no—
304C4×D61—416no—
305Dic122—22no—
306Dic122—22no—
307Dic122—22no—
308Dic122#9514yescomplemented
309C8×C61—42no—
310#92418—42no—
311#10790—611nomaximal, Sylow
312C22×C61—22no—
313C22×C61—22no—
314C22×C61—21no—
315C22×C61—21no—
316C22×C61—21no—
317C22×C61—21no—
318C22×C61—22no—
319C22×C61—22no—
320C22×C61C4×C22⋊C411yescharacteristic
321C22×C61#37911yescharacteristic
322C22×C61#38011yescharacteristic
323C22×C61#38511yescharacteristic
324C22×C61#38511yescharacteristic
325C22×C61#38611yescharacteristic
326C22×C61#38611yescharacteristic
327C22×C61C2×#10412yes—
328C22×C61#42112yes—
329C2×D61—24no—
330C2×D61—44no—
331C2×D61—42no—
332C2×D61—42no—
333C2×D61—44no—
334C4×C61—44no—
335C4×C61—44no—
336C4×C61C2×#9511yescharacteristic
337C4×C61C4×C22⋊C411yescharacteristic
338C4×C61#38011yescharacteristic
339C4×C61#38111yescharacteristic
340C4×C61#38511yescharacteristic
341C4×C61#38511yescharacteristic
342C4×C61#38611yescharacteristic
343C4×C61#38611yescharacteristic
344Dic61—24no—
345Dic61—24no—
346Dic61—44no—
347Dic61—42no—
348C2×C4×#41—611no—
349C22×#104—611no—
350C22×#104—611no—
351C2×#339—611no—
352C2×#339D6111yescharacteristic, complemented
353#1728—611no—
354C4×#95—611no—
355C2×C61—21no—
356C2×C61—21no—
357C2×C61—21no—
358C2×C61—21no—
359C2×C61C22⋊#9511yescharacteristic
360C2×C61C4×#10411yescharacteristic
361C2×C61#175911yescharacteristic
362C2×C61#178912yes—
363C2×C61#180612yes—
364D61—44no—
365C22×#41—611no—
366C22×M16—611no—
367C22×M16C2×D6111yescharacteristic
368C4×#41—1222no—
369C4×#41—1222no—
370C4×#41—1222no—
371C4×#41—1222no—
372C2×C4×Q8—612no—
373C2×C4×D4—612no—
374C2×C4×D4—1222no—
375C2×#117—1221no—
376C2×#117C2×D6111yescharacteristic
377C22×C42—611no—
378C22×C42—611no—
379C22×C42—1221no—
380C22×C42C2×D6111yescharacteristic
381C2×#104—614no—
382C2×#104—614no—
383C2×#104—1222no—
384C2×#104—1222no—
385C2×#104—1222no—
386C2×#104—1222no—
387C2×#95—1222no—
388#339—22no—
389#339—1222no—
390#336—1221no—
391#336—1221no—
392C61#1079011yescharacteristic, complemented, Sylow
393C2×#41—612no—
394C2×#41—612no—
395C2×#41—612no—
396C2×#41—612no—
397C2×#41—612no—
398C2×#41—612no—
399C2×#41—1221no—
400C2×#41—1221no—
401C2×#41—1221no—
402C2×#41—1221no—
403C2×#41—1221no—
404C2×#41—1221no—
405C22×Q8—611no—
406C22×D4—611no—
407C22×D4—1221no—
408C23×C4—21no—
409C23×C4—612no—
410C23×C4—1222no—
411C23×C4—1221no—
412C23×C4—1221no—
413C23×C4C22×D6111yescharacteristic
414C2×M16—21no—
415C2×M16—21no—
416C2×M16—21no—
417C2×M16—21no—
418C2×M16—21no—
419C2×M16—612no—
420C2×M16—1221no—
421C2×M16—1221no—
422C2×M16—1221no—
423C2×M16—1221no—
424C2×M16—1221no—
425C2×M16C4×D6112yescomplemented
426C22×C8—21no—
427C22×C8—1221no—
428C4×Q8—1224no—
429C4×Q8—1224no—
430C4×D4—1228no—
431C4×D4—1228no—
432C4×D4—1224no—
433C4×D4—1224no—
434#117—21no—
435#117—21no—
436#117—1224no—
437#117—1224no—
438#117D24412yes—
439#117C22⋊D6112yes—
440C2×C4⋊C4—1222no—
441C2×C4⋊C4C4×D6112yes—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—1222no—
444C2×C42—21no—
445C2×C42—21no—
446C2×C42—21no—
447C2×C42—21no—
448C2×C42—21no—
449C2×C42—21no—
450C2×C42—612no—
451C2×C42—611no—
452C2×C42—611no—
453C2×C42—612no—
454C2×C42—1224no—
455C2×C42—1224no—
456C2×C42—1222no—
457C2×C42—1221no—
458C2×C42—1221no—
459C2×C42—1221no—
460C2×C42—1221no—
461C2×C42—1221no—
462C2×C42—1221no—
463C2×C42—1221no—
464C2×C42—1221no—
465C2×C42—1221no—
466C2×C42C4×D6112yescomplemented
467#104—1228no—
468#104—1228no—
469#95—1228no—
470C24—1221no—
471C24D4×D6111yescharacteristic
472#41—614no—
473#41—614no—
474#41—614no—
475#41—614no—
476#41—1222no—
477#41—1222no—
478#41—1222no—
479#41—1222no—
480#41—1222no—
481#41—1222no—
482#41—1222no—
483#41—1222no—
484#41—1222no—
485#41—1222no—
486#41—1222no—
487#41—1222no—
488C2×Q8—612no—
489C2×Q8—612no—
490C2×Q8—612no—
491C2×Q8—1221no—
492C2×Q8—1221no—
493C2×Q8—1221no—
494C2×D4—612no—
495C2×D4—612no—
496C2×D4—612no—
497C2×D4—1222no—
498C2×D4—1222no—
499C2×D4—1222no—
500C2×D4—1222no—
501C2×D4—1222no—
502C2×D4—1222no—
503C2×D4—1221no—
504C2×D4—1221no—
505C2×D4—1221no—
506C22×C4—24no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—42no—
510C22×C4—41no—
511C22×C4—41no—
512C22×C4—612no—
513C22×C4—612no—
514C22×C4—1228no—
515C22×C4—1224no—
516C22×C4—1221no—
517C22×C4—1222no—
518C22×C4—1222no—
519C22×C4—1222no—
520C22×C4—1222no—
521C22×C4—1222no—
522C22×C4—1222no—
523C22×C4—1224no—
524C22×C4—1222no—
525C22×C4—1222no—
526C22×C4—1222no—
527C22×C4—2444no—
528C22×C4—2444no—
529C22×C4—2442no—
530C22×C4—2442no—
531C22×C4—2441no—
532C22×C4—2441no—
533C22×C4C2×C4×D6111yescharacteristic
534C22×C4C2×C4×D6111yescharacteristic
535C22×C4C2×C4×D6111yescharacteristic
536C22×C4C2×D24411yescharacteristic
537C22×C4#1175822211yescharacteristic
538C22×C4#1175822211yescharacteristic
539C22×C4D4×D6111yescharacteristic
540C22×C4D4×D6111yescharacteristic
541C22×C4D4×D6111yescharacteristic
542C22×C4D4×D6111yescharacteristic
543C22×C4#1175822411yescharacteristic
544C22×C4Q8×D6111yescharacteristic
545C22×C4#1175822611yescharacteristic
546C22×C4C2×C22⋊D6111yescharacteristic
547M16—22no—
548M16—22no—
549M16—41no—
550M16—41no—
551M16—1222no—
552M16—1222no—
553M16—2441no—
554M16—2441no—
555C2×C8—22no—
556C2×C8—41no—
557C2×C8—41no—
558C2×C8—1222no—
559C2×C8—2441no—
560C2×C8—2441no—
561C4⋊C4—22no—
562C4⋊C4—1228no—
563C4⋊C4#1175819814yes—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—1228no—
567C42—22no—
568C42—22no—
569C42—22no—
570C42—22no—
571C42—41no—
572C42—41no—
573C42—1228no—
574C42—1222no—
575C42—1222no—
576C42—1221no—
577C42—1221no—
578C42—1221no—
579C42—1221no—
580C42—1222no—
581C42—1222no—
582C42—2441no—
583C42—2441no—
584C23—22no—
585C23—22no—
586C23—1222no—
587C23—1222no—
588C23—1222no—
589C23—2442no—
590C23—2442no—
591C23C22⋊C4×D6111yescharacteristic
592C23#1451973711yescharacteristic
593C23#1451973911yescharacteristic
594C23#1451974511yescharacteristic
595C23#1451974711yescharacteristic
596C23#1451975011yescharacteristic
597C23#1451975511yescharacteristic
598Q8—614no—
599Q8—1222no—
600Q8—1222no—
601Q8—1222no—
602D4—614no—
603D4—1224no—
604D4—1224no—
605D4—1224no—
606D4—1224no—
607D4—1222no—
608D4—1222no—
609D4—1222no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—44no—
613C2×C4—44no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—614no—
619C2×C4—1222no—
620C2×C4—1222no—
621C2×C4—1222no—
622C2×C4—1222no—
623C2×C4—1222no—
624C2×C4—1224no—
625C2×C4—1224no—
626C2×C4—1224no—
627C2×C4—1224no—
628C2×C4—1224no—
629C2×C4—1222no—
630C2×C4—1222no—
631C2×C4—1222no—
632C2×C4—24416no—
633C2×C4—2444no—
634C2×C4—2444no—
635C2×C4—2444no—
636C2×C4—2444no—
637C2×C4—2442no—
638C2×C4—2442no—
639C2×C4C42×D6111yescharacteristic
640C2×C4C22⋊C4×D6111yescharacteristic
641C2×C4C22⋊C4×D6111yescharacteristic
642C2×C4C22⋊C4×D6111yescharacteristic
643C2×C4C2×#1175819811yescharacteristic
644C2×C4C4⋊C4×D6111yescharacteristic
645C2×C4C4⋊C4×D6111yescharacteristic
646C2×C4C4⋊C4×D6111yescharacteristic
647C2×C4#1451973411yescharacteristic
648C2×C4#1451973511yescharacteristic
649C2×C4#1451973711yescharacteristic
650C2×C4C4×C22⋊D6111yescharacteristic
651C2×C4C4×C22⋊D6111yescharacteristic
652C2×C4#1451973911yescharacteristic
653C2×C4C4×D24411yescharacteristic
654C2×C4C4×D24411yescharacteristic
655C2×C4#1451974511yescharacteristic
656C2×C4#1451974711yescharacteristic
657C2×C4#1451974811yescharacteristic
658C2×C4#1451975011yescharacteristic
659C2×C4#1451975211yescharacteristic
660C2×C4#1451975311yescharacteristic
661C2×C4#1451975511yescharacteristic
662C2×C4#1451975711yescharacteristic
663C2×C4#1451975911yescharacteristic
664C2×C4#1451975911yescharacteristic
665C2×C4#1451976211yescharacteristic
666C2×C4#1451976211yescharacteristic
667C8—42no—
668C8—2442no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—21no—
677C22—1224no—
678C22—2444no—
679C22—2444no—
680C22—2442no—
681C22—2442no—
682C22#1683960911yescharacteristic
683C22#1683961711yescharacteristic
684C22#1683962111yescharacteristic
685C22#1683963311yescharacteristic
686C22#1683963611yescharacteristic
687C22#1683963811yescharacteristic
688C22#1683964011yescharacteristic
689C22#104×D6112yes—
690C22#1683977712yes—
691C4—44no—
692C4—44no—
693C4—1224no—
694C4—1224no—
695C4—2444no—
696C4—2442no—
697C4#95×D6111yescharacteristic
698C4C4×#1175819811yescharacteristic
699C4#1683961911yescharacteristic
700C4#1683962411yescharacteristic
701C4#1683963311yescharacteristic
702C4#1683963611yescharacteristic
703C4#1683963811yescharacteristic
704C4#1683964011yescharacteristic
705C2—21no—
706C2—21no—
707C2—21no—
708C2—21no—
709C2—2444no—
710C2#2144404011yescharacteristic
711C2#2144562311yescharacteristic
712C2#2144562811yescharacteristic
713C2#2144576112yes—
714C2#2144583812yes—
subgroupG/H
centerC22×C4D4×D61
commutatorC2×C4×C61C2×C42
FrattiniC23×C4C22×D61
FittingC2×C61×#339C2
socleC23×C61C2×C22⋊C4
prime radicalC22×#11758222C22
cosocleC23×C4×C61C23
hypercenterC2×#339D61
hypocenterC61#10790
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ C23×C4 ◁ C2×#339

Complements

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

NH ≅ G/Ntype
4. C2×#16839521C2semidirect
5. #21445512C2semidirect
6. C4×#14519684C2semidirect
7. C2×C61×#339C2semidirect
14. C2×#14519742C4semidirect
15. C2×#14519739C4semidirect
23. C2×#14519705C4semidirect
26. C2×#14519703C4semidirect
59. C2×#11758194C2×C4semidirect
82. C2×C4×Dic61C2×C4semidirect
97. C2×M16×C61C2×C4semidirect
111. C2×C42×C61C2×C4semidirect
295. C2×Dic61#104semidirect
299. D244#95semidirect
308. Dic122#95semidirect
352. C2×#339D61semidirect
392. C61#10790semidirect
425. C2×M16C4×D61semidirect
466. C2×C42C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168402302
C22×#145197052
C22×#145197032
C2×#168395212
#214455122
C4×#145196842
C2×C61×#3392
#1079061