Finite Group Databasebeta

← C2×#21462074 #30623907

Subgroups — C2×#21462074 #30623907

Order 15616.

1494 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519837C211yesmaximal, characteristic, complemented
2C22×#14519835C211yesmaximal, characteristic, complemented
3#21462074C218yesmaximal, direct product factor
4C2×#16840664C212yesmaximal, complemented
5C2×#16840662C212yesmaximal, complemented
6C2×#16840321C211yesmaximal, characteristic
7C22×#11758217—21no—
8C22×C22⋊#6923—21no—
9C2×#14519837—21no—
10C2×#14519837—22no—
11C2×#14519837C2212yes—
12C2×#14519837C2214yescomplemented
13C2×#14519835—21no—
14C2×#14519835—22no—
15C2×#14519835C2212yes—
16C2×#14519835C2214yescomplemented
17#16840664C2218yescomplemented
18#16840662C2218yescomplemented
19C23×C22⋊D61C2211yescharacteristic
20#16840321—22no—
21#16840321—22no—
22#16840321C414yescomplemented
23#16840321C2214yes—
24C2×#14519760C411yescharacteristic, complemented
25C2×#14519760C2211yescharacteristic
26C2×#14519758—21no—
27C2×#14519749—21no—
28C2×#14519749—21no—
29C2×#14519746C411yescharacteristic, complemented
30C2×#14519746C2211yescharacteristic
31C2×#14519745—21no—
32C22×C22⋊Dic61C411yescharacteristic, complemented
33C23×D4×C61C411yescharacteristic, complemented
34C23×#6923—41no—
35C2×#11758217—22no—
36C2×#11758217—24no—
37C2×#11758217—41no—
38C2×#11758217—42no—
39C22×#92420—41no—
40C2×C22⋊#6923—22no—
41C2×C22⋊#6923—24no—
42C2×C22⋊#6923—42no—
43C2×C22⋊#6923—41no—
44#14519837—22no—
45#14519837—24no—
46#14519837C2314yes—
47#14519835—22no—
48#14519835—24no—
49#14519835C2314yes—
50C24×D61D411yescharacteristic
51C22×C22⋊D61—21no—
52C22×C22⋊D61—21no—
53C22×C22⋊D61—41no—
54C22×C22⋊D61—41no—
55C22×C22⋊D61—42no—
56C22×C22⋊D61C2×C411yescharacteristic
57C22×C22⋊D61C2×C412yes—
58C22×C22⋊D61D411yescharacteristic
59C22×C22⋊D61D412yes—
60C22×C22⋊D61D411yescharacteristic
61C22×C22⋊D61D412yes—
62C22×C22⋊D61C2311yescharacteristic
63C22×C22⋊D61C2312yes—
64C23×Dic61—21no—
65C23×Dic61D411yescharacteristic
66#14519760—22no—
67#14519760—21no—
68#14519760—21no—
69#14519760C2×C414yescomplemented
70#14519760C2×C412yescomplemented
71#14519760C2312yes—
72#14519758—24no—
73#14519758—24no—
74#14519749—24no—
75#14519749—24no—
76#14519749—24no—
77#14519749—24no—
78#14519746—22no—
79#14519746—21no—
80#14519746—21no—
81#14519746C2×C414yescomplemented
82#14519746C2×C412yescomplemented
83#14519746C2312yes—
84#14519745—24no—
85#14519745—24no—
86C2×#11758196—21no—
87C2×#11758196—21no—
88C2×C22⋊Dic61—21no—
89C2×C22⋊Dic61—22no—
90C2×C22⋊Dic61—21no—
91C2×C22⋊Dic61—21no—
92C2×C22⋊Dic61C2×C411yescharacteristic, complemented
93C2×C22⋊Dic61C2×C411yescharacteristic, complemented
94C2×C22⋊Dic61C2×C414yescomplemented
95C2×#11758198—21no—
96C2×#11758198—21no—
97C25×C61C2×C411yescharacteristic
98C25×C61C2×C411yescharacteristic, complemented
99C22×D4×C61—21no—
100C22×D4×C61—21no—
101C22×D4×C61—22no—
102C22×D4×C61—41no—
103C22×D4×C61—41no—
104C22×D4×C61—42no—
105C22×D4×C61C2×C414yescomplemented
106C23×C4×C61C2×C411yescharacteristic, complemented
107C24×C61—21no—
108C24×C61—21no—
109C24×C61—22no—
110C24×C61—21no—
111C24×C61—21no—
112C24×C61—41no—
113C24×C61—41no—
114C24×C61—82no—
115C24×C61—82no—
116C24×C61C22⋊C411yescharacteristic
117C24×C61C22⋊C412yes—
118C24×C61C22⋊C411yescharacteristic
119C24×C61C22×C411yescharacteristic
120C24×C61C22×C412yes—
121C24×C61C22×C412yescomplemented
122C23×D61—21no—
123C23×D61—21no—
124C23×D61—22no—
125C23×D61—82no—
126C23×D61C22⋊C411yescharacteristic
127C23×D61C22⋊C412yes—
128C23×D61C2×D411yescharacteristic
129C23×D61C2×D412yes—
130C22×#6923—42no—
131C22×#6923—44no—
132C22×#6923—84no—
133C2×D4×C61—24no—
134C2×D4×C61—24no—
135C2×D4×C61—44no—
136C2×D4×C61—44no—
137C2×D4×C61—42no—
138C2×D4×C61—42no—
139C2×D4×C61—41no—
140C2×D4×C61—41no—
141C2×D4×C61—42no—
142C2×D4×C61—44no—
143C2×D4×C61—44no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—41no—
147C22×C4×C61—41no—
148C22×C4×C61C22×C412yescomplemented
149C2×C22⋊D61—24no—
150C2×C22⋊D61—22no—
151C2×C22⋊D61—22no—
152C2×C22⋊D61—41no—
153C2×C22⋊D61—42no—
154C2×C22⋊D61—41no—
155C2×C22⋊D61—42no—
156C2×C22⋊D61—41no—
157C2×C22⋊D61—42no—
158C2×C22⋊D61—42no—
159C2×C22⋊D61—41no—
160C2×C22⋊D61—41no—
161C2×C22⋊D61—42no—
162C2×C22⋊D61—41no—
163C2×C22⋊D61—42no—
164C2×C22⋊D61—41no—
165C2×C22⋊D61—42no—
166C2×C22⋊D61—42no—
167C2×C22⋊D61—41no—
168C2×C22⋊D61—82no—
169C2×C22⋊D61—82no—
170C2×C22⋊D61C22⋊C412yes—
171C2×C22⋊D61C22⋊C412yes—
172C2×C22⋊D61C22⋊C412yes—
173C2×C22⋊D61C22×C412yes—
174C2×C22⋊D61C22×C411yescharacteristic
175C2×C22⋊D61C2×D411yescharacteristic
176C2×C22⋊D61C2×D412yes—
177C2×C22⋊D61C2×D411yescharacteristic
178C2×C22⋊D61C2×D412yes—
179C2×C22⋊D61C2411yescharacteristic
180C22×Dic61—21no—
181C22×Dic61—21no—
182C22×Dic61—22no—
183C22×Dic61—21no—
184C22×Dic61—21no—
185C22×Dic61—24no—
186C22×Dic61—82no—
187C22×Dic61C22⋊C411yescharacteristic
188C22×Dic61C22⋊C412yes—
189C22×Dic61C2×D411yescharacteristic
190C22×Dic61C2×D412yes—
191C22⋊#6923—24no—
192C22⋊#6923—42no—
193C22⋊#6923—44no—
194#11758217—24no—
195#11758217—42no—
196#11758217—44no—
197C2×#92420—42no—
198C2×#92420—44no—
199C22⋊Dic61—24no—
200C22⋊Dic61—21no—
201C22⋊Dic61—21no—
202C22⋊Dic61—24no—
203C22⋊Dic61—22no—
204C22⋊Dic61—22no—
205C22⋊Dic61C22×C412yescomplemented
206C22⋊Dic61C22×C412yescomplemented
207#11758198—24no—
208#11758198—22no—
209#11758198—22no—
210#11758196—24no—
211#11758196—22no—
212#11758196—22no—
213C23×C61—21no—
214C23×C61—21no—
215C23×C61—21no—
216C23×C61—21no—
217C23×C61—22no—
218C23×C61—22no—
219C23×C61—22no—
220C23×C61—22no—
221C23×C61—22no—
222C23×C61—42no—
223C23×C61—42no—
224C23×C61—42no—
225C23×C61—42no—
226C23×C61—42no—
227C23×C61—42no—
228C23×C61—42no—
229C23×C61—41no—
230C23×C61—41no—
231C23×C61—82no—
232C23×C61—82no—
233C23×C61—84no—
234C23×C61—82no—
235C23×C61—82no—
236C23×C61—82no—
237C23×C61—82no—
238C23×C61—84no—
239C23×C61—84no—
240C23×C61#9911yescharacteristic
241C23×C61#9911yescharacteristic
242C23×C61#9912yes—
243C23×C61C2×C22⋊C411yescharacteristic
244C23×C61C2×C22⋊C411yescharacteristic
245C23×C61C2×C22⋊C412yes—
246C23×C61C2×C22⋊C412yes—
247C23×C61C23×C411yescharacteristic
248C22×D61—22no—
249C22×D61—21no—
250C22×D61—22no—
251C22×D61—21no—
252C22×D61—21no—
253C22×D61—22no—
254C22×D61—21no—
255C22×D61—22no—
256C22×D61—44no—
257C22×D61—42no—
258C22×D61—42no—
259C22×D61—82no—
260C22×D61—82no—
261C22×D61—82no—
262C22×D61—84no—
263C22×D61C2×C22⋊C412yes—
264C22×D61C2×C22⋊C411yescharacteristic
265C22×D61C22×D411yescharacteristic
266C2×#6923—44no—
267C2×#6923—88no—
268C2×#6923—84no—
269D4×C61—48no—
270D4×C61—44no—
271D4×C61—44no—
272C2×C4×C61—22no—
273C2×C4×C61—42no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—42no—
277C22⋊D61—42no—
278C22⋊D61—42no—
279C22⋊D61—42no—
280C22⋊D61—42no—
281C22⋊D61—41no—
282C22⋊D61—41no—
283C22⋊D61—42no—
284C22⋊D61—41no—
285C22⋊D61—42no—
286C22⋊D61—41no—
287C22⋊D61—84no—
288C22⋊D61—82no—
289C22⋊D61—82no—
290C2×Dic61—22no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—22no—
294C2×Dic61—21no—
295C2×Dic61—22no—
296C2×Dic61—22no—
297C2×Dic61—21no—
298C2×Dic61—22no—
299C2×Dic61—22no—
300C2×Dic61—42no—
301C2×Dic61—42no—
302C2×Dic61—84no—
303C2×Dic61C2×C22⋊C412yes—
304C2×Dic61C2×C22⋊C411yescharacteristic
305C2×Dic61C22×D411yescharacteristic
306#92420—44no—
307C2×#2121—611nomaximal, Sylow
308C22×C61—22no—
309C22×C61—22no—
310C22×C61—22no—
311C22×C61—21no—
312C22×C61—21no—
313C22×C61—22no—
314C22×C61—42no—
315C22×C61—42no—
316C22×C61—42no—
317C22×C61—41no—
318C22×C61—41no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—42no—
322C22×C61—42no—
323C22×C61—42no—
324C22×C61—42no—
325C22×C61—42no—
326C22×C61—82no—
327C22×C61—82no—
328C22×C61—82no—
329C22×C61—82no—
330C22×C61—82no—
331C22×C61—84no—
332C22×C61—84no—
333C22×C61—82no—
334C22×C61C2×#9911yescharacteristic
335C22×C61C2×#9912yes—
336C22×C61C2×#9912yes—
337C22×C61C2×#9911yescharacteristic
338C22×C61C22×C22⋊C411yescharacteristic
339C2×D61—21no—
340C2×D61—22no—
341C2×D61—21no—
342C2×D61—44no—
343C2×D61—44no—
344C2×D61—42no—
345C2×D61—42no—
346C2×D61—42no—
347C2×D61—41no—
348C2×D61—41no—
349C2×D61—81no—
350C2×D61—81no—
351C2×D61—82no—
352C2×D61—82no—
353#6923—84no—
354C4×C61—42no—
355Dic61—21no—
356Dic61—22no—
357Dic61—21no—
358Dic61—42no—
359Dic61—42no—
360C2×#534—611no—
361C22×#100—611no—
362C22×#99—611no—
363#2121—618no—
364C2×#352—612no—
365C2×AΣL(1,𝔽16)—612no—
366C2×C61—21no—
367C2×C61—22no—
368C2×C61—21no—
369C2×C61—22no—
370C2×C61—42no—
371C2×C61—41no—
372C2×C61—41no—
373C2×C61—82no—
374C2×C61#212112yescomplemented
375C2×C61C22×#9911yescharacteristic
376D61—41no—
377D61—42no—
378D61—41no—
379C23×D4—611no—
380C23×D4#692311yescharacteristic, complemented
381C22×M16—1221no—
382#534—614no—
383#534—614no—
384#534—1222no—
385#534—1222no—
386C2×#123—611no—
387C2×#123—611no—
388C2×#123—1221no—
389C2×#121—1221no—
390C2×#121—1221no—
391C2×#120—611no—
392C2×#120—611no—
393C2×#120—1221no—
394C22×C22⋊C4—611no—
395C22×C22⋊C4—1221no—
396C2×#100—612no—
397C2×#100—614no—
398C2×#100—1221no—
399C2×#100—1222no—
400C2×#99—612no—
401C2×#99—614no—
402C2×#99—1221no—
403C2×#99—1222no—
404#352—618no—
405AΣL(1,𝔽16)—618no—
406C61C2×#212111yescharacteristic, complemented, Sylow
407C25—611no—
408C25C2×#692311yescharacteristic
409C25C2×#692311yescharacteristic, complemented
410C22×D4—21no—
411C22×D4—22no—
412C22×D4—21no—
413C22×D4—42no—
414C22×D4—41no—
415C22×D4—41no—
416C22×D4—611no—
417C22×D4—611no—
418C22×D4—612no—
419C22×D4—612no—
420C22×D4—611no—
421C22×D4—612no—
422C22×D4—611no—
423C22×D4—612no—
424C22×D4—1221no—
425C22×D4—1221no—
426C22×D4—2441no—
427C22×D4—2442no—
428C22×D4—2441no—
429C22×D4C2×#692314yescomplemented
430C23×C4—611no—
431C23×C4—1221no—
432C23×C4—2441no—
433C23×C4C2×#692311yescharacteristic, complemented
434C2×M16—1222no—
435C2×M16—1224no—
436C2×M16—2442no—
437C2×M16—2441no—
438C22×C8—2441no—
439#123—612no—
440#123—612no—
441#123—614no—
442#123—1221no—
443#123—1221no—
444#123—1222no—
445#123—1224no—
446#123—1224no—
447#121—1224no—
448#121—1224no—
449#121—1224no—
450#121—1224no—
451#120—612no—
452#120—614no—
453#120—612no—
454#120—1224no—
455#120—1224no—
456#120—1221no—
457#120—1221no—
458#120—1222no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C22⋊C4—611no—
462C2×C22⋊C4—611no—
463C2×C22⋊C4—614no—
464C2×C22⋊C4—1221no—
465C2×C22⋊C4—1221no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1222no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1224no—
471C2×C22⋊C4—1222no—
472C2×C22⋊C4—2442no—
473C2×C22⋊C4—2441no—
474#100—614no—
475#100—1222no—
476#100—1224no—
477#99—614no—
478#99—1222no—
479#99—1224no—
480C24—22no—
481C24—21no—
482C24—21no—
483C24—21no—
484C24—21no—
485C24—41no—
486C24—41no—
487C24—82no—
488C24—82no—
489C24—612no—
490C24—612no—
491C24—611no—
492C24—611no—
493C24—1222no—
494C24—1221no—
495C24—1221no—
496C24—4882no—
497C24C22⋊#692311yescharacteristic
498C24C22⋊#692312yes—
499C24C22⋊#692311yescharacteristic
500C24C22×#692311yescharacteristic
501C24C22×#692312yes—
502C24C22×#692312yescomplemented
503C2×D4—24no—
504C2×D4—24no—
505C2×D4—44no—
506C2×D4—44no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4—41no—
511C2×D4—41no—
512C2×D4—44no—
513C2×D4—44no—
514C2×D4—611no—
515C2×D4—612no—
516C2×D4—611no—
517C2×D4—612no—
518C2×D4—612no—
519C2×D4—612no—
520C2×D4—612no—
521C2×D4—611no—
522C2×D4—612no—
523C2×D4—611no—
524C2×D4—1222no—
525C2×D4—1224no—
526C2×D4—1222no—
527C2×D4—4882no—
528C2×D4—4882no—
529C2×D4—2442no—
530C2×D4—2442no—
531C2×D4—2441no—
532C2×D4—2441no—
533C2×D4—2442no—
534C2×D4—2442no—
535C2×D4—2441no—
536C2×D4—2441no—
537C2×D4—2442no—
538C2×D4—2442no—
539C2×D4—2442no—
540C2×D4—2442no—
541C2×D4—2441no—
542C2×D4—2441no—
543C2×D4—2441no—
544C2×D4—2441no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—41no—
548C22×C4—41no—
549C22×C4—611no—
550C22×C4—611no—
551C22×C4—612no—
552C22×C4—612no—
553C22×C4—1221no—
554C22×C4—1222no—
555C22×C4—1221no—
556C22×C4—1224no—
557C22×C4—1221no—
558C22×C4—1221no—
559C22×C4—4884no—
560C22×C4—4882no—
561C22×C4—2444no—
562C22×C4—2442no—
563C22×C4C22×#692312yescomplemented
564M16—1224no—
565M16—2442no—
566M16—2444no—
567C2×C8—2444no—
568C2×C8—2442no—
569C4⋊C4—1222no—
570C4⋊C4—1224no—
571C4⋊C4—1222no—
572C22⋊C4—612no—
573C22⋊C4—612no—
574C22⋊C4—1222no—
575C22⋊C4—1224no—
576C22⋊C4—1222no—
577C22⋊C4—1222no—
578C22⋊C4—1224no—
579C22⋊C4—1222no—
580C22⋊C4—1221no—
581C22⋊C4—1221no—
582C22⋊C4—1224no—
583C22⋊C4—1224no—
584C22⋊C4—2444no—
585C22⋊C4—2442no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—41no—
603C23—41no—
604C23—82no—
605C23—82no—
606C23—82no—
607C23—82no—
608C23—82no—
609C23—84no—
610C23—82no—
611C23—84no—
612C23—84no—
613C23—611no—
614C23—612no—
615C23—611no—
616C23—1222no—
617C23—1221no—
618C23—1222no—
619C23—1221no—
620C23—1222no—
621C23—1222no—
622C23—1221no—
623C23—1221no—
624C23—4882no—
625C23—4884no—
626C23—4882no—
627C23—4882no—
628C23—2442no—
629C23—2442no—
630C23—2444no—
631C23#1451983511yescharacteristic
632C23#1451983511yescharacteristic
633C23#1451983512yes—
634C23C2×C22⋊#692311yescharacteristic
635C23C2×C22⋊#692311yescharacteristic
636C23C2×C22⋊#692312yes—
637C23C2×C22⋊#692312yes—
638C23C23×#692311yescharacteristic
639D4—48no—
640D4—44no—
641D4—44no—
642D4—4882no—
643D4—4884no—
644D4—4882no—
645D4—2441no—
646D4—2441no—
647D4—2442no—
648D4—2441no—
649D4—2442no—
650D4—2442no—
651D4—2441no—
652D4—2442no—
653D4—2442no—
654D4—2442no—
655C2×C4—22no—
656C2×C4—42no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—611no—
661C2×C4—612no—
662C2×C4—611no—
663C2×C4—1222no—
664C2×C4—1221no—
665C2×C4—1222no—
666C2×C4—1221no—
667C2×C4—1222no—
668C2×C4—1222no—
669C2×C4—1221no—
670C2×C4—1221no—
671C2×C4—1222no—
672C2×C4—1222no—
673C2×C4—4888no—
674C2×C4—4884no—
675C2×C4—4884no—
676C2×C4—2444no—
677C2×C4—2442no—
678C2×C4—2442no—
679C8—2444no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—21no—
684C22—21no—
685C22—22no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—41no—
690C22—41no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—82no—
699C22—82no—
700C22—82no—
701C22—82no—
702C22—82no—
703C22—84no—
704C22—84no—
705C22—82no—
706C22—1221no—
707C22—1222no—
708C22—1221no—
709C22—4882no—
710C22—4882no—
711C22—4881no—
712C22—4881no—
713C22—2441no—
714C22—2442no—
715C22—2441no—
716C22—2444no—
717C22—2444no—
718C22—2442no—
719C22—2442no—
720C22C2×#1451983511yescharacteristic
721C22C2×#1451983512yes—
722C22C2×#1451983512yes—
723C22C2×#1451983511yescharacteristic
724C22C22×C22⋊#692311yescharacteristic
725C4—42no—
726C4—1221no—
727C4—1222no—
728C4—1221no—
729C4—4884no—
730C4—2442no—
731C4—2442no—
732C2—21no—
733C2—21no—
734C2—22no—
735C2—22no—
736C2—41no—
737C2—41no—
738C2—42no—
739C2—82no—
740C2—2441no—
741C2—2442no—
742C2—2441no—
743C2#2146207412yesdirect product factor
744C2C22×#1451983511yescharacteristic
subgroupG/H
centerC22C2×#14519835
commutatorC23×C61C23×C4
FrattiniC23C23×#6923
FittingC23×D4×C61C4
socleC22×C61C2×#99
prime radicalC2×#16840321C2
cosocleC2×C22⋊D61C24
hypercenterC23×D4#6923
hypocenterC61C2×#2121
LCSG ▷ C23×C61 ▷ C22×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C24 ◁ C25 ◁ C23×D4

Complements

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

NH ≅ G/Ntype
1. C22×#14519837C2semidirect
2. C22×#14519835C2semidirect
3. #21462074C2direct (N × H)
4. C2×#16840664C2semidirect
5. C2×#16840662C2semidirect
12. C2×#14519837C22semidirect
16. C2×#14519835C22semidirect
17. #16840664C22semidirect
18. #16840662C22semidirect
22. #16840321C4semidirect
24. C2×#14519760C4semidirect
29. C2×#14519746C4semidirect
32. C22×C22⋊Dic61C4semidirect
33. C23×D4×C61C4semidirect
69. #14519760C2×C4semidirect
70. #14519760C2×C4semidirect
81. #14519746C2×C4semidirect
82. #14519746C2×C4semidirect
92. C2×C22⋊Dic61C2×C4semidirect
93. C2×C22⋊Dic61C2×C4semidirect
94. C2×C22⋊Dic61C2×C4semidirect
98. C25×C61C2×C4semidirect
105. C22×D4×C61C2×C4semidirect
106. C23×C4×C61C2×C4semidirect
121. C24×C61C22×C4semidirect
148. C22×C4×C61C22×C4semidirect
205. C22⋊Dic61C22×C4semidirect
206. C22⋊Dic61C22×C4semidirect
374. C2×C61#2121semidirect
380. C23×D4#6923semidirect
406. C61C2×#2121semidirect
409. C25C2×#6923semidirect
429. C22×D4C2×#6923semidirect
433. C23×C4C2×#6923semidirect
502. C24C22×#6923semidirect
563. C22×C4C22×#6923semidirect
743. C2#21462074direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145198372
C22×#145198352
#214620742
C2×#168406642
C2×#168406622
C2×#168403212
C2×#212161