Finite Group Databasebeta

← C2×#21462076 #30623910

Subgroups — C2×#21462076 #30623910

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#21462076C218yesmaximal, direct product factor
4C2×#16840665C212yesmaximal, complemented
5C2×#16840663C212yesmaximal, complemented
6C2×#16840324C211yesmaximal, 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#16840665C2218yescomplemented
18#16840663C2218yescomplemented
19C23×C22⋊D61C411yescharacteristic, complemented
20C23×C22⋊D61C2211yescharacteristic
21#16840324—22no—
22#16840324—22no—
23#16840324C414yescomplemented
24#16840324C2214yes—
25C2×#14519761—21no—
26C2×#14519761C411yescharacteristic, complemented
27C2×#14519761C2211yescharacteristic
28C2×#14519751—21no—
29C2×#14519751—21no—
30C2×#14519747—21no—
31C2×#14519747C411yescharacteristic, complemented
32C2×#14519747C2211yescharacteristic
33C22×C22⋊C4×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×D61C2×C411yescharacteristic, complemented
51C24×D61D411yescharacteristic
52C22×D244—21no—
53C22×D244—21no—
54C22×C22⋊D61—21no—
55C22×C22⋊D61—21no—
56C22×C22⋊D61—22no—
57C22×C22⋊D61—41no—
58C22×C22⋊D61—41no—
59C22×C22⋊D61—42no—
60C22×C22⋊D61—41no—
61C22×C22⋊D61—41no—
62C22×C22⋊D61—42no—
63C22×C22⋊D61C2×C411yescharacteristic
64C22×C22⋊D61C2×C412yes—
65C22×C22⋊D61C2×C414yescomplemented
66C22×C22⋊D61D411yescharacteristic
67C22×C22⋊D61D412yes—
68C22×C22⋊D61D411yescharacteristic
69C22×C22⋊D61D412yes—
70C22×C22⋊D61C2311yescharacteristic
71C22×C22⋊D61C2312yes—
72C23×Dic61C2×C411yescharacteristic, complemented
73C23×Dic61D411yescharacteristic
74#14519761—22no—
75#14519761—21no—
76#14519761—21no—
77#14519761—24no—
78#14519761—24no—
79#14519761C2×C414yescomplemented
80#14519761C2×C412yescomplemented
81#14519761C2312yes—
82#14519751—24no—
83#14519751—24no—
84#14519751—24no—
85#14519751—24no—
86#14519747—24no—
87#14519747—24no—
88#14519747—22no—
89#14519747—21no—
90#14519747—21no—
91#14519747C2×C414yescomplemented
92#14519747C2×C412yescomplemented
93#14519747C2312yes—
94C2×C4⋊Dic61—21no—
95C2×C4⋊Dic61—21no—
96C2×#11758198—21no—
97C2×#11758198—21no—
98C2×#11758198—21no—
99C2×#11758198—21no—
100C25×C61C2×C411yescharacteristic
101C23×C4×C61—21no—
102C2×C22⋊C4×C61—21no—
103C2×C22⋊C4×C61—22no—
104C2×C22⋊C4×C61C2×C411yescharacteristic, complemented
105C2×C22⋊C4×C61C2×C411yescharacteristic, complemented
106C2×C22⋊C4×C61C2×C414yescomplemented
107C24×C61—21no—
108C24×C61—21no—
109C24×C61—22no—
110C24×C61—82no—
111C24×C61C22⋊C411yescharacteristic
112C24×C61C22⋊C412yes—
113C24×C61C22⋊C411yescharacteristic
114C24×C61C22×C411yescharacteristic
115C24×C61C22×C412yes—
116C23×D61—21no—
117C23×D61—21no—
118C23×D61—22no—
119C23×D61—21no—
120C23×D61—21no—
121C23×D61—41no—
122C23×D61—41no—
123C23×D61—82no—
124C23×D61—82no—
125C23×D61C22⋊C411yescharacteristic
126C23×D61C22⋊C412yes—
127C23×D61C22×C412yescomplemented
128C23×D61C2×D411yescharacteristic
129C23×D61C2×D412yes—
130C22×#6923—42no—
131C22×#6923—44no—
132C22×#6923—84no—
133C22×C4×C61—21no—
134C22×C4×C61—21no—
135C22×C4×C61—24no—
136C22×C4×C61—82no—
137C2×C22⋊D61—24no—
138C2×C22⋊D61—24no—
139C2×C22⋊D61—41no—
140C2×C22⋊D61—42no—
141C2×C22⋊D61—41no—
142C2×C22⋊D61—42no—
143C2×C22⋊D61—41no—
144C2×C22⋊D61—42no—
145C2×C22⋊D61—42no—
146C2×C22⋊D61—41no—
147C2×C22⋊D61—41no—
148C2×C22⋊D61—42no—
149C2×C22⋊D61—41no—
150C2×C22⋊D61—42no—
151C2×C22⋊D61—41no—
152C2×C22⋊D61—42no—
153C2×C22⋊D61—42no—
154C2×C22⋊D61—41no—
155C2×C22⋊D61—44no—
156C2×C22⋊D61—44no—
157C2×C22⋊D61—42no—
158C2×C22⋊D61—42no—
159C2×C22⋊D61—41no—
160C2×C22⋊D61—41no—
161C2×C22⋊D61—42no—
162C2×C22⋊D61—44no—
163C2×C22⋊D61—44no—
164C2×C22⋊D61C22⋊C412yes—
165C2×C22⋊D61C22⋊C412yes—
166C2×C22⋊D61C22⋊C412yes—
167C2×C22⋊D61C22×C412yes—
168C2×C22⋊D61C22×C411yescharacteristic
169C2×C22⋊D61C2×D411yescharacteristic
170C2×C22⋊D61C2×D412yes—
171C2×C22⋊D61C2×D411yescharacteristic
172C2×C22⋊D61C2×D412yes—
173C2×C22⋊D61C2411yescharacteristic
174C22×Dic61—21no—
175C22×Dic61—21no—
176C22×Dic61—22no—
177C22×Dic61—21no—
178C22×Dic61—21no—
179C22×Dic61—41no—
180C22×Dic61—41no—
181C22×Dic61C22⋊C411yescharacteristic
182C22×Dic61C22⋊C412yes—
183C22×Dic61C22×C412yescomplemented
184C22×Dic61C2×D411yescharacteristic
185C22×Dic61C2×D412yes—
186C2×D244—24no—
187C2×D244—22no—
188C2×D244—22no—
189C2×D244—82no—
190C2×D244—82no—
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⋊C4×C61—21no—
200C22⋊C4×C61—21no—
201C22⋊C4×C61—24no—
202C22⋊C4×C61C22×C412yescomplemented
203C22⋊C4×C61C22×C412yescomplemented
204#11758198—24no—
205#11758198—22no—
206#11758198—22no—
207#11758198—24no—
208#11758198—22no—
209#11758198—22no—
210C4⋊Dic61—24no—
211C4⋊Dic61—22no—
212C4⋊Dic61—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—42no—
222C23×C61—42no—
223C23×C61—42no—
224C23×C61—82no—
225C23×C61—82no—
226C23×C61—84no—
227C23×C61—82no—
228C23×C61—82no—
229C23×C61#9911yescharacteristic
230C23×C61#9911yescharacteristic
231C23×C61#9912yes—
232C23×C61C2×C22⋊C411yescharacteristic
233C23×C61C2×C22⋊C411yescharacteristic
234C23×C61C2×C22⋊C412yes—
235C23×C61C2×C22⋊C412yes—
236C23×C61C23×C411yescharacteristic
237C22×D61—22no—
238C22×D61—21no—
239C22×D61—22no—
240C22×D61—21no—
241C22×D61—21no—
242C22×D61—22no—
243C22×D61—21no—
244C22×D61—22no—
245C22×D61—22no—
246C22×D61—44no—
247C22×D61—42no—
248C22×D61—42no—
249C22×D61—42no—
250C22×D61—42no—
251C22×D61—42no—
252C22×D61—41no—
253C22×D61—41no—
254C22×D61—42no—
255C22×D61—82no—
256C22×D61—82no—
257C22×D61—82no—
258C22×D61—84no—
259C22×D61—82no—
260C22×D61—82no—
261C22×D61—84no—
262C22×D61—84no—
263C22×D61C2×C22⋊C412yes—
264C22×D61C2×C22⋊C411yescharacteristic
265C22×D61C22×D411yescharacteristic
266C2×#6923—44no—
267C2×#6923—88no—
268C2×#6923—84no—
269C2×C4×C61—22no—
270C2×C4×C61—22no—
271C2×C4×C61—42no—
272C2×C4×C61—42no—
273C2×C4×C61—84no—
274C22⋊D61—42no—
275C22⋊D61—42no—
276C22⋊D61—42no—
277C22⋊D61—42no—
278C22⋊D61—41no—
279C22⋊D61—41no—
280C22⋊D61—42no—
281C22⋊D61—41no—
282C22⋊D61—42no—
283C22⋊D61—41no—
284C22⋊D61—48no—
285C22⋊D61—44no—
286C22⋊D61—44no—
287C2×Dic61—22no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—22no—
291C2×Dic61—21no—
292C2×Dic61—22no—
293C2×Dic61—22no—
294C2×Dic61—21no—
295C2×Dic61—22no—
296C2×Dic61—42no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—42no—
300C2×Dic61C2×C22⋊C412yes—
301C2×Dic61C2×C22⋊C411yescharacteristic
302C2×Dic61C22×D411yescharacteristic
303D244—84no—
304D244—82no—
305D244—82no—
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—82no—
324C22×C61—82no—
325C22×C61—82no—
326C22×C61—82no—
327C22×C61C2×#9911yescharacteristic
328C22×C61C2×#9912yes—
329C22×C61C2×#9912yes—
330C22×C61C2×#9911yescharacteristic
331C22×C61C22×C22⋊C411yescharacteristic
332C2×D61—21no—
333C2×D61—22no—
334C2×D61—21no—
335C2×D61—44no—
336C2×D61—44no—
337C2×D61—42no—
338C2×D61—42no—
339C2×D61—42no—
340C2×D61—41no—
341C2×D61—41no—
342C2×D61—42no—
343C2×D61—42no—
344C2×D61—42no—
345C2×D61—81no—
346C2×D61—81no—
347C2×D61—82no—
348C2×D61—82no—
349C2×D61—82no—
350C2×D61—84no—
351C2×D61—82no—
352C2×D61—84no—
353#6923—84no—
354C4×C61—42no—
355C4×C61—42no—
356Dic61—21no—
357Dic61—22no—
358Dic61—21no—
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—41no—
371C2×C61—41no—
372C2×C61—42no—
373C2×C61#212112yescomplemented
374C2×C61C22×#9911yescharacteristic
375D61—41no—
376D61—42no—
377D61—41no—
378D61—82no—
379C23×D4—611no—
380C23×D4—611no—
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—1221no—
395C22×C22⋊C4#692311yescharacteristic, complemented
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—
408C25—611no—
409C25C2×#692311yescharacteristic
410C22×D4—611no—
411C22×D4—611no—
412C22×D4—612no—
413C22×D4—612no—
414C22×D4—611no—
415C22×D4—612no—
416C22×D4—611no—
417C22×D4—612no—
418C22×D4—614no—
419C22×D4—1221no—
420C22×D4—1221no—
421C22×D4—1221no—
422C22×D4—1222no—
423C22×D4—1221no—
424C22×D4—2441no—
425C22×D4—2442no—
426C22×D4—2441no—
427C22×D4—2442no—
428C22×D4—2441no—
429C22×D4—2441no—
430C23×C4—21no—
431C23×C4—611no—
432C23×C4—611no—
433C23×C4—2441no—
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—1224no—
443#123—1224no—
444#123—1221no—
445#123—1221no—
446#123—1222no—
447#121—1224no—
448#121—1224no—
449#121—1224no—
450#121—1224no—
451#120—612no—
452#120—614no—
453#120—612no—
454#120—1221no—
455#120—1221no—
456#120—1222no—
457#120—1224no—
458#120—1224no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C22⋊C4—22no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—1221no—
464C2×C22⋊C4—1221no—
465C2×C22⋊C4—1221no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1224no—
468C2×C22⋊C4—1222no—
469C2×C22⋊C4—2442no—
470C2×C22⋊C4—2441no—
471C2×C22⋊C4C2×#692311yescharacteristic, complemented
472C2×C22⋊C4C2×#692311yescharacteristic, complemented
473C2×C22⋊C4C2×#692314yescomplemented
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—82no—
484C24—612no—
485C24—612no—
486C24—611no—
487C24—611no—
488C24—612no—
489C24—1222no—
490C24—1221no—
491C24—1221no—
492C24—1221no—
493C24—1221no—
494C24—4882no—
495C24—4882no—
496C24—2441no—
497C24—2441no—
498C24C22⋊#692311yescharacteristic
499C24C22⋊#692312yes—
500C24C22⋊#692311yescharacteristic
501C24C22×#692311yescharacteristic
502C24C22×#692312yes—
503C2×D4—611no—
504C2×D4—612no—
505C2×D4—611no—
506C2×D4—612no—
507C2×D4—612no—
508C2×D4—612no—
509C2×D4—612no—
510C2×D4—611no—
511C2×D4—612no—
512C2×D4—611no—
513C2×D4—1222no—
514C2×D4—1224no—
515C2×D4—1222no—
516C2×D4—1224no—
517C2×D4—1224no—
518C2×D4—4882no—
519C2×D4—4882no—
520C2×D4—2442no—
521C2×D4—2442no—
522C2×D4—2441no—
523C2×D4—2441no—
524C2×D4—2442no—
525C2×D4—2442no—
526C2×D4—2441no—
527C2×D4—2441no—
528C2×D4—2442no—
529C2×D4—2442no—
530C2×D4—2442no—
531C2×D4—2442no—
532C2×D4—2441no—
533C2×D4—2441no—
534C2×D4—2441no—
535C2×D4—2441no—
536C2×D4—2444no—
537C2×D4—2444no—
538C2×D4—2442no—
539C2×D4—2442no—
540C2×D4—2442no—
541C2×D4—2441no—
542C2×D4—2441no—
543C2×D4—2444no—
544C2×D4—2444no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—24no—
548C22×C4—82no—
549C22×C4—611no—
550C22×C4—611no—
551C22×C4—612no—
552C22×C4—612no—
553C22×C4—612no—
554C22×C4—1221no—
555C22×C4—1222no—
556C22×C4—1221no—
557C22×C4—1221no—
558C22×C4—1221no—
559C22×C4—4884no—
560C22×C4—2444no—
561C22×C4—2442no—
562C22×C4—2441no—
563C22×C4—2441no—
564M16—1224no—
565M16—2442no—
566M16—2444no—
567C2×C8—2444no—
568C2×C8—2442no—
569C4⋊C4—1222no—
570C4⋊C4—1224no—
571C4⋊C4—1222no—
572C22⋊C4—21no—
573C22⋊C4—21no—
574C22⋊C4—24no—
575C22⋊C4—1222no—
576C22⋊C4—1224no—
577C22⋊C4—1222no—
578C22⋊C4—1222no—
579C22⋊C4—1224no—
580C22⋊C4—1222no—
581C22⋊C4—1224no—
582C22⋊C4—2444no—
583C22⋊C4—2442no—
584C22⋊C4C22×#692312yescomplemented
585C22⋊C4C22×#692312yescomplemented
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—82no—
598C23—82no—
599C23—82no—
600C23—82no—
601C23—84no—
602C23—611no—
603C23—612no—
604C23—611no—
605C23—1222no—
606C23—1221no—
607C23—1222no—
608C23—1221no—
609C23—1222no—
610C23—1222no—
611C23—1221no—
612C23—1221no—
613C23—1222no—
614C23—4882no—
615C23—4884no—
616C23—4884no—
617C23—4884no—
618C23—4882no—
619C23—4882no—
620C23—4882no—
621C23—4882no—
622C23—2442no—
623C23—2442no—
624C23—2442no—
625C23—2442no—
626C23—2442no—
627C23—2442no—
628C23—2444no—
629C23—2441no—
630C23—2441no—
631C23#1451983611yescharacteristic
632C23#1451983611yescharacteristic
633C23#1451983612yes—
634C23C2×C22⋊#692311yescharacteristic
635C23C2×C22⋊#692311yescharacteristic
636C23C2×C22⋊#692312yes—
637C23C2×C22⋊#692312yes—
638C23C23×#692311yescharacteristic
639D4—4882no—
640D4—4884no—
641D4—4882no—
642D4—2441no—
643D4—2441no—
644D4—2442no—
645D4—2441no—
646D4—2442no—
647D4—2442no—
648D4—2441no—
649D4—2442no—
650D4—2442no—
651D4—2442no—
652D4—2448no—
653D4—2444no—
654D4—2444no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—84no—
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—4888no—
673C2×C4—4884no—
674C2×C4—2444no—
675C2×C4—2442no—
676C2×C4—2441no—
677C2×C4—2441no—
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—82no—
696C22—82no—
697C22—82no—
698C22—82no—
699C22—1221no—
700C22—1222no—
701C22—1221no—
702C22—4882no—
703C22—4882no—
704C22—4882no—
705C22—4881no—
706C22—4881no—
707C22—4884no—
708C22—4884no—
709C22—4882no—
710C22—2442no—
711C22—2442no—
712C22—2441no—
713C22—2442no—
714C22—2441no—
715C22—2444no—
716C22—2444no—
717C22—2442no—
718C22—2442no—
719C22—2442no—
720C22C2×#1451983611yescharacteristic
721C22C2×#1451983612yes—
722C22C2×#1451983612yes—
723C22C2×#1451983611yescharacteristic
724C22C22×C22⋊#692311yescharacteristic
725C4—42no—
726C4—42no—
727C4—1221no—
728C4—1222no—
729C4—1221no—
730C4—4884no—
731C4—2442no—
732C2—21no—
733C2—21no—
734C2—22no—
735C2—22no—
736C2—41no—
737C2—41no—
738C2—42no—
739C2—4882no—
740C2—2441no—
741C2—2442no—
742C2—2441no—
743C2#2146207612yesdirect product factor
744C2C22×#1451983611yescharacteristic
subgroupG/H
centerC22C2×#14519836
commutatorC23×C61C23×C4
FrattiniC23C23×#6923
FittingC22×C22⋊C4×C61C4
socleC22×C61C2×#99
prime radicalC2×#16840324C2
cosocleC2×C22⋊D61C24
hypercenterC22×C22⋊C4#6923
hypocenterC61C2×#2121
LCSG ▷ C23×C61 ▷ C22×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C24 ◁ C25 ◁ C22×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×#14519837C2semidirect
2. C22×#14519835C2semidirect
3. #21462076C2direct (N × H)
4. C2×#16840665C2semidirect
5. C2×#16840663C2semidirect
12. C2×#14519837C22semidirect
16. C2×#14519835C22semidirect
17. #16840665C22semidirect
18. #16840663C22semidirect
19. C23×C22⋊D61C4semidirect
23. #16840324C4semidirect
26. C2×#14519761C4semidirect
31. C2×#14519747C4semidirect
33. C22×C22⋊C4×C61C4semidirect
50. C24×D61C2×C4semidirect
65. C22×C22⋊D61C2×C4semidirect
72. C23×Dic61C2×C4semidirect
79. #14519761C2×C4semidirect
80. #14519761C2×C4semidirect
91. #14519747C2×C4semidirect
92. #14519747C2×C4semidirect
104. C2×C22⋊C4×C61C2×C4semidirect
105. C2×C22⋊C4×C61C2×C4semidirect
106. C2×C22⋊C4×C61C2×C4semidirect
127. C23×D61C22×C4semidirect
183. C22×Dic61C22×C4semidirect
202. C22⋊C4×C61C22×C4semidirect
203. C22⋊C4×C61C22×C4semidirect
373. C2×C61#2121semidirect
395. C22×C22⋊C4#6923semidirect
406. C61C2×#2121semidirect
471. C2×C22⋊C4C2×#6923semidirect
472. C2×C22⋊C4C2×#6923semidirect
473. C2×C22⋊C4C2×#6923semidirect
584. C22⋊C4C22×#6923semidirect
585. C22⋊C4C22×#6923semidirect
743. C2#21462076direct (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
#214620762
C2×#168406652
C2×#168406632
C2×#168403242
C2×#212161