Finite Group Databasebeta

← C2×#21447463 #29832738

Subgroups — C2×#21447463 #29832738

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
1C2×#16840321C211yesmaximal, characteristic
2C22×#14519694C211yesmaximal, characteristic, complemented
3#21447463C218yesmaximal, direct product factor
4C2×#16839551C212yesmaximal, complemented
5C2×#16839548C212yesmaximal, complemented
6C22×#99×C61C211yesmaximal, characteristic, complemented
7C23×C22⋊D61C411yescharacteristic, complemented
8C22×#11758194—21no—
9#16840321—22no—
10#16840321—22no—
11#16840321C414yescomplemented
12#16840321C2214yes—
13C2×#14519760—21no—
14C2×#14519758C411yescharacteristic, complemented
15C2×#14519758C2211yescharacteristic
16C2×#14519749—21no—
17C2×#14519749—21no—
18C2×#14519746—21no—
19C2×#14519745C411yescharacteristic, complemented
20C2×#14519745C2211yescharacteristic
21C22×C22⋊Dic61C411yescharacteristic, complemented
22C2×#14519694—21no—
23C2×#14519694—22no—
24C2×#14519694C2212yes—
25C2×#14519694C2214yescomplemented
26#16839551C2218yescomplemented
27#16839548C2218yescomplemented
28C23×D4×C61C2211yescharacteristic
29C22×C22⋊C4×C61—21no—
30C2×#99×C61—22no—
31C2×#99×C61—21no—
32C2×#99×C61C2212yes—
33C2×#99×C61C2214yescomplemented
34C24×D61C2×C411yescharacteristic, complemented
35C22×C22⋊D61—21no—
36C22×C22⋊D61—21no—
37C22×C22⋊D61—22no—
38C22×C22⋊D61—21no—
39C22×C22⋊D61—21no—
40C22×C22⋊D61—41no—
41C22×C22⋊D61—41no—
42C22×C22⋊D61—42no—
43C22×C22⋊D61C2×C414yescomplemented
44C23×Dic61—21no—
45C23×Dic61C2×C411yescharacteristic, complemented
46C2×#11758194—22no—
47C2×#11758194—24no—
48C2×#11758194—41no—
49C2×#11758194—42no—
50C22×#92418—41no—
51#14519760—24no—
52#14519760—24no—
53#14519758—22no—
54#14519758—21no—
55#14519758—21no—
56#14519758C2×C414yescomplemented
57#14519758C2×C412yescomplemented
58#14519758C2312yes—
59#14519749—24no—
60#14519749—24no—
61#14519749—24no—
62#14519749—24no—
63#14519746—24no—
64#14519746—24no—
65#14519745—22no—
66#14519745—21no—
67#14519745—21no—
68#14519745C2×C414yescomplemented
69#14519745C2×C412yescomplemented
70#14519745C2312yes—
71C2×#11758196—21no—
72C2×#11758196—21no—
73C2×C22⋊Dic61—21no—
74C2×C22⋊Dic61—22no—
75C2×C22⋊Dic61—21no—
76C2×C22⋊Dic61—21no—
77C2×C22⋊Dic61C2×C411yescharacteristic, complemented
78C2×C22⋊Dic61C2×C411yescharacteristic, complemented
79C2×C22⋊Dic61C2×C414yescomplemented
80C2×#11758198—21no—
81C2×#11758198—21no—
82#14519694—22no—
83#14519694—24no—
84#14519694C2314yes—
85C25×C61C2×C411yescharacteristic
86C25×C61D411yescharacteristic
87C22×D4×C61—41no—
88C22×D4×C61—41no—
89C22×D4×C61—42no—
90C22×D4×C61C2×C411yescharacteristic
91C22×D4×C61C2×C412yes—
92C22×D4×C61D411yescharacteristic
93C22×D4×C61D412yes—
94C22×D4×C61D411yescharacteristic
95C22×D4×C61D412yes—
96C22×D4×C61C2311yescharacteristic
97C22×D4×C61C2312yes—
98C23×C4×C61—41no—
99C23×C4×C61D411yescharacteristic
100C2×C22⋊C4×C61—22no—
101C2×C22⋊C4×C61—24no—
102C2×C22⋊C4×C61—42no—
103C2×C22⋊C4×C61—41no—
104#99×C61—22no—
105#99×C61—24no—
106#99×C61C2314yes—
107C24×C61—21no—
108C24×C61—21no—
109C24×C61—21no—
110C24×C61—22no—
111C24×C61—21no—
112C24×C61—22no—
113C24×C61—82no—
114C24×C61—82no—
115C24×C61C22⋊C411yescharacteristic
116C24×C61C22⋊C411yescharacteristic
117C24×C61C22⋊C412yes—
118C24×C61C22⋊C412yes—
119C24×C61C22⋊C411yescharacteristic
120C24×C61C22×C411yescharacteristic
121C24×C61C22×C412yes—
122C24×C61C2×D411yescharacteristic
123C24×C61C2×D412yes—
124C23×D61—21no—
125C23×D61—21no—
126C23×D61—41no—
127C23×D61—41no—
128C23×D61—82no—
129C23×D61C22×C412yescomplemented
130C2×D4×C61—41no—
131C2×D4×C61—41no—
132C2×D4×C61—42no—
133C2×D4×C61—42no—
134C2×D4×C61—41no—
135C2×D4×C61—42no—
136C2×D4×C61—41no—
137C2×D4×C61—42no—
138C2×D4×C61—41no—
139C2×D4×C61—41no—
140C2×D4×C61—42no—
141C2×D4×C61—42no—
142C2×D4×C61—41no—
143C2×D4×C61—42no—
144C2×D4×C61—41no—
145C2×D4×C61—42no—
146C2×D4×C61C22⋊C412yes—
147C2×D4×C61C22⋊C412yes—
148C2×D4×C61C22⋊C412yes—
149C2×D4×C61C22×C412yes—
150C2×D4×C61C22×C411yescharacteristic
151C2×D4×C61C2×D411yescharacteristic
152C2×D4×C61C2×D412yes—
153C2×D4×C61C2×D411yescharacteristic
154C2×D4×C61C2×D412yes—
155C2×D4×C61C2411yescharacteristic
156C22×C4×C61—21no—
157C22×C4×C61—21no—
158C22×C4×C61—22no—
159C22×C4×C61—42no—
160C22×C4×C61—44no—
161C22×C4×C61—84no—
162C22×C4×C61C22⋊C411yescharacteristic
163C22×C4×C61C22⋊C412yes—
164C22×C4×C61C2×D411yescharacteristic
165C22×C4×C61C2×D412yes—
166C2×C22⋊D61—24no—
167C2×C22⋊D61—24no—
168C2×C22⋊D61—24no—
169C2×C22⋊D61—22no—
170C2×C22⋊D61—22no—
171C2×C22⋊D61—44no—
172C2×C22⋊D61—44no—
173C2×C22⋊D61—42no—
174C2×C22⋊D61—42no—
175C2×C22⋊D61—41no—
176C2×C22⋊D61—41no—
177C2×C22⋊D61—42no—
178C2×C22⋊D61—44no—
179C2×C22⋊D61—44no—
180C2×C22⋊D61—82no—
181C2×C22⋊D61—82no—
182C22×Dic61—21no—
183C22×Dic61—21no—
184C22×Dic61—21no—
185C22×Dic61—21no—
186C22×Dic61—24no—
187C22×Dic61—41no—
188C22×Dic61—41no—
189C22×Dic61—82no—
190C22×Dic61C22×C412yescomplemented
191C22⋊C4×C61—24no—
192C22⋊C4×C61—42no—
193C22⋊C4×C61—44no—
194C22⋊Dic61—21no—
195C22⋊Dic61—21no—
196C22⋊Dic61—24no—
197C22⋊Dic61—24no—
198C22⋊Dic61—22no—
199C22⋊Dic61—22no—
200C22⋊Dic61C22×C412yescomplemented
201C22⋊Dic61C22×C412yescomplemented
202#11758198—24no—
203#11758198—22no—
204#11758198—22no—
205#11758196—24no—
206#11758196—22no—
207#11758196—22no—
208#11758194—24no—
209#11758194—42no—
210#11758194—44no—
211C2×#92418—42no—
212C2×#92418—44no—
213C23×C61—21no—
214C23×C61—21no—
215C23×C61—21no—
216C23×C61—21no—
217C23×C61—22no—
218C23×C61—21no—
219C23×C61—22no—
220C23×C61—21no—
221C23×C61—21no—
222C23×C61—22no—
223C23×C61—22no—
224C23×C61—22no—
225C23×C61—22no—
226C23×C61—22no—
227C23×C61—21no—
228C23×C61—22no—
229C23×C61—42no—
230C23×C61—44no—
231C23×C61—42no—
232C23×C61—42no—
233C23×C61—42no—
234C23×C61—42no—
235C23×C61—82no—
236C23×C61—82no—
237C23×C61—82no—
238C23×C61—82no—
239C23×C61—82no—
240C23×C61—84no—
241C23×C61—84no—
242C23×C61—82no—
243C23×C61—82no—
244C23×C61#9911yescharacteristic
245C23×C61#9911yescharacteristic
246C23×C61#9912yes—
247C23×C61C2×C22⋊C411yescharacteristic
248C23×C61C2×C22⋊C411yescharacteristic
249C23×C61C2×C22⋊C412yes—
250C23×C61C2×C22⋊C411yescharacteristic
251C23×C61C2×C22⋊C412yes—
252C23×C61C2×C22⋊C412yes—
253C23×C61C23×C411yescharacteristic
254C23×C61C22×D411yescharacteristic
255C22×D61—22no—
256C22×D61—42no—
257C22×D61—42no—
258C22×D61—42no—
259C22×D61—41no—
260C22×D61—41no—
261C22×D61—42no—
262C22×D61—82no—
263C22×D61—82no—
264C22×D61—84no—
265C22×D61—84no—
266D4×C61—42no—
267D4×C61—42no—
268D4×C61—42no—
269D4×C61—42no—
270D4×C61—41no—
271D4×C61—41no—
272D4×C61—42no—
273D4×C61—41no—
274D4×C61—42no—
275D4×C61—41no—
276C2×C4×C61—22no—
277C2×C4×C61—21no—
278C2×C4×C61—21no—
279C2×C4×C61—22no—
280C2×C4×C61—21no—
281C2×C4×C61—22no—
282C2×C4×C61—22no—
283C2×C4×C61—21no—
284C2×C4×C61—44no—
285C2×C4×C61—88no—
286C2×C4×C61—84no—
287C2×C4×C61C2×C22⋊C412yes—
288C2×C4×C61C2×C22⋊C411yescharacteristic
289C2×C4×C61C22×D411yescharacteristic
290C22⋊D61—48no—
291C22⋊D61—44no—
292C22⋊D61—44no—
293C22⋊D61—84no—
294C22⋊D61—82no—
295C22⋊D61—82no—
296C2×Dic61—22no—
297C2×Dic61—22no—
298C2×Dic61—22no—
299C2×Dic61—42no—
300C2×Dic61—42no—
301C2×Dic61—42no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—42no—
305C2×Dic61—84no—
306#92418—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—21no—
315C22×C61—22no—
316C22×C61—21no—
317C22×C61—42no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—41no—
322C22×C61—41no—
323C22×C61—41no—
324C22×C61—41no—
325C22×C61—44no—
326C22×C61—42no—
327C22×C61—42no—
328C22×C61—44no—
329C22×C61—42no—
330C22×C61—42no—
331C22×C61—42no—
332C22×C61—42no—
333C22×C61—81no—
334C22×C61—81no—
335C22×C61—82no—
336C22×C61—82no—
337C22×C61—82no—
338C22×C61—82no—
339C22×C61—82no—
340C22×C61—82no—
341C22×C61C2×#9911yescharacteristic
342C22×C61C2×#9912yes—
343C22×C61C2×#9912yes—
344C22×C61C2×#9911yescharacteristic
345C22×C61C22×C22⋊C411yescharacteristic
346C2×D61—42no—
347C2×D61—42no—
348C2×D61—42no—
349C2×D61—82no—
350C2×D61—84no—
351C2×D61—82no—
352C2×D61—84no—
353C4×C61—21no—
354C4×C61—22no—
355C4×C61—21no—
356C4×C61—84no—
357Dic61—42no—
358Dic61—42no—
359Dic61—42no—
360C2×#534—611no—
361C22×#100—611no—
362C22×#99D6111yescharacteristic, complemented
363#2121—618no—
364C2×#352—612no—
365C2×AΣL(1,𝔽16)—612no—
366C2×C61—21no—
367C2×C61—21no—
368C2×C61—22no—
369C2×C61—22no—
370C2×C61—41no—
371C2×C61—41no—
372C2×C61—41no—
373C2×C61—42no—
374C2×C61—41no—
375C2×C61—42no—
376C2×C61#212112yescomplemented
377C2×C61C22×#9911yescharacteristic
378D61—82no—
379C23×D4—611no—
380C23×D4C2×D6111yescharacteristic
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—21no—
395C22×C22⋊C4—611no—
396C2×#100—612no—
397C2×#100—614no—
398C2×#100—1221no—
399C2×#100—1222no—
400C2×#99—22no—
401C2×#99—21no—
402C2×#99C2×D6112yes—
403C2×#99C2×D6114yescomplemented
404#352—618no—
405AΣL(1,𝔽16)—618no—
406C61C2×#212111yescharacteristic, complemented, Sylow
407C25—611no—
408C25C4×D6111yescharacteristic
409C25C22⋊D6111yescharacteristic
410C22×D4—41no—
411C22×D4—41no—
412C22×D4—42no—
413C22×D4—614no—
414C22×D4—1221no—
415C22×D4—1221no—
416C22×D4—1221no—
417C22×D4—1222no—
418C22×D4—1221no—
419C22×D4—2442no—
420C22×D4—2441no—
421C22×D4—2441no—
422C22×D4C4×D6111yescharacteristic
423C22×D4C4×D6112yes—
424C22×D4D24411yescharacteristic
425C22×D4D24412yes—
426C22×D4C22⋊D6111yescharacteristic
427C22×D4C22⋊D6112yes—
428C22×D4C22×D6111yescharacteristic
429C22×D4C22×D6112yes—
430C23×C4—41no—
431C23×C4—611no—
432C23×C4—1221no—
433C23×C4D24411yescharacteristic
434C2×M16—1222no—
435C2×M16—1224no—
436C2×M16—2442no—
437C2×M16—2441no—
438C22×C8—2441no—
439#123—614no—
440#123—612no—
441#123—612no—
442#123—1222no—
443#123—1221no—
444#123—1221no—
445#123—1224no—
446#123—1224no—
447#121—1224no—
448#121—1224no—
449#121—1224no—
450#121—1224no—
451#120—614no—
452#120—612no—
453#120—612no—
454#120—1224no—
455#120—1224no—
456#120—1222no—
457#120—1221no—
458#120—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C22⋊C4—22no—
462C2×C22⋊C4—24no—
463C2×C22⋊C4—42no—
464C2×C22⋊C4—41no—
465C2×C22⋊C4—611no—
466C2×C22⋊C4—611no—
467C2×C22⋊C4—614no—
468C2×C22⋊C4—1222no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474#100—614no—
475#100—1222no—
476#100—1224no—
477#99—22no—
478#99—24no—
479#99C22×D6114yes—
480C24—21no—
481C24—22no—
482C24—21no—
483C24—22no—
484C24—21no—
485C24—21no—
486C24—82no—
487C24—82no—
488C24—612no—
489C24—1221no—
490C24—1221no—
491C24—4882no—
492C24—2441no—
493C24—2441no—
494C24#1175819811yescharacteristic
495C24#1175819811yescharacteristic
496C24#1175819812yes—
497C24#1175819812yes—
498C24#1175819811yescharacteristic
499C24C2×C4×D6111yescharacteristic
500C24C2×C4×D6112yes—
501C24C2×C22⋊D6111yescharacteristic
502C24C2×C22⋊D6112yes—
503C2×D4—41no—
504C2×D4—42no—
505C2×D4—42no—
506C2×D4—41no—
507C2×D4—42no—
508C2×D4—41no—
509C2×D4—42no—
510C2×D4—41no—
511C2×D4—42no—
512C2×D4—41no—
513C2×D4—42no—
514C2×D4—41no—
515C2×D4—42no—
516C2×D4—42no—
517C2×D4—41no—
518C2×D4—41no—
519C2×D4—1222no—
520C2×D4—1222no—
521C2×D4—1224no—
522C2×D4—1224no—
523C2×D4—1224no—
524C2×D4—4882no—
525C2×D4—4882no—
526C2×D4—2444no—
527C2×D4—2444no—
528C2×D4—2442no—
529C2×D4—2442no—
530C2×D4—2442no—
531C2×D4—2441no—
532C2×D4—2441no—
533C2×D4—2444no—
534C2×D4—2444no—
535C2×D4#1175819812yes—
536C2×D4#1175819812yes—
537C2×D4#1175819812yes—
538C2×D4C2×C4×D6112yes—
539C2×D4C2×C4×D6111yescharacteristic
540C2×D4C2×D24411yescharacteristic
541C2×D4C2×D24412yes—
542C2×D4C2×C22⋊D6111yescharacteristic
543C2×D4C2×C22⋊D6112yes—
544C2×D4C23×D6111yescharacteristic
545C22×C4—21no—
546C22×C4—22no—
547C22×C4—21no—
548C22×C4—44no—
549C22×C4—42no—
550C22×C4—84no—
551C22×C4—612no—
552C22×C4—1224no—
553C22×C4—1221no—
554C22×C4—1221no—
555C22×C4—1221no—
556C22×C4—1221no—
557C22×C4—4882no—
558C22×C4—2441no—
559C22×C4—2441no—
560C22×C4#1175819811yescharacteristic
561C22×C4#1175819812yes—
562C22×C4C2×D24411yescharacteristic
563C22×C4C2×D24412yes—
564M16—1224no—
565M16—2442no—
566M16—2444no—
567C2×C8—2444no—
568C2×C8—2442no—
569C4⋊C4—1222no—
570C4⋊C4—1224no—
571C4⋊C4—1222no—
572C22⋊C4—24no—
573C22⋊C4—42no—
574C22⋊C4—44no—
575C22⋊C4—612no—
576C22⋊C4—612no—
577C22⋊C4—1222no—
578C22⋊C4—1221no—
579C22⋊C4—1221no—
580C22⋊C4—1224no—
581C22⋊C4—1224no—
582C22⋊C4—1222no—
583C22⋊C4—1222no—
584C22⋊C4—1224no—
585C22⋊C4—1222no—
586C23—22no—
587C23—21no—
588C23—21no—
589C23—22no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—21no—
601C23—22no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—44no—
606C23—42no—
607C23—42no—
608C23—82no—
609C23—82no—
610C23—82no—
611C23—82no—
612C23—82no—
613C23—82no—
614C23—82no—
615C23—84no—
616C23—84no—
617C23—1222no—
618C23—4884no—
619C23—4884no—
620C23—4882no—
621C23—4882no—
622C23—2442no—
623C23—2442no—
624C23—2442no—
625C23—2442no—
626C23—2441no—
627C23—2441no—
628C23#1451969111yescharacteristic
629C23#1451969111yescharacteristic
630C23#1451969112yes—
631C23C2×#1175819811yescharacteristic
632C23C2×#1175819811yescharacteristic
633C23C2×#1175819812yes—
634C23C2×#1175819811yescharacteristic
635C23C2×#1175819812yes—
636C23C2×#1175819812yes—
637C23C22×C4×D6111yescharacteristic
638C23C22×C22⋊D6111yescharacteristic
639D4—42no—
640D4—42no—
641D4—42no—
642D4—42no—
643D4—41no—
644D4—41no—
645D4—42no—
646D4—41no—
647D4—42no—
648D4—41no—
649D4—4882no—
650D4—4884no—
651D4—4882no—
652D4—2448no—
653D4—2444no—
654D4—2444no—
655C2×C4—22no—
656C2×C4—21no—
657C2×C4—22no—
658C2×C4—21no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—44no—
664C2×C4—88no—
665C2×C4—84no—
666C2×C4—1222no—
667C2×C4—1222no—
668C2×C4—1222no—
669C2×C4—4884no—
670C2×C4—2442no—
671C2×C4—2442no—
672C2×C4—2442no—
673C2×C4—2441no—
674C2×C4—2441no—
675C2×C4—2442no—
676C2×C4C2×#1175819812yes—
677C2×C4C2×#1175819811yescharacteristic
678C2×C4C22×D24411yescharacteristic
679C8—2444no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—22no—
687C22—22no—
688C22—21no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—41no—
693C22—42no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—44no—
698C22—42no—
699C22—44no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—81no—
706C22—81no—
707C22—82no—
708C22—82no—
709C22—82no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—4882no—
714C22—4884no—
715C22—4884no—
716C22—4882no—
717C22—2442no—
718C22—2442no—
719C22—2442no—
720C22C2×#1451969111yescharacteristic
721C22C2×#1451969112yes—
722C22C2×#1451969112yes—
723C22C2×#1451969111yescharacteristic
724C22C22×#1175819811yescharacteristic
725C4—21no—
726C4—22no—
727C4—21no—
728C4—84no—
729C4—2442no—
730C4—2442no—
731C4—2442no—
732C2—21no—
733C2—21no—
734C2—22no—
735C2—22no—
736C2—41no—
737C2—42no—
738C2—41no—
739C2—41no—
740C2—41no—
741C2—42no—
742C2—4882no—
743C2#2144746312yesdirect product factor
744C2C22×#1451969111yescharacteristic
subgroupG/H
centerC22C2×#14519691
commutatorC23×C61C23×C4
FrattiniC2×D4C23×D61
FittingC22×#99×C61C2
socleC22×C61C2×#99
prime radicalC2×#16840321C2
cosocleC2×D4×C61C24
hypercenterC22×#99D61
hypocenterC61C2×#2121
LCSG ▷ C23×C61 ▷ C22×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C24 ◁ C23×D4 ◁ C22×#99

Complements

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

NH ≅ G/Ntype
2. C22×#14519694C2semidirect
3. #21447463C2direct (N × H)
4. C2×#16839551C2semidirect
5. C2×#16839548C2semidirect
6. C22×#99×C61C2semidirect
7. C23×C22⋊D61C4semidirect
11. #16840321C4semidirect
14. C2×#14519758C4semidirect
19. C2×#14519745C4semidirect
21. C22×C22⋊Dic61C4semidirect
25. C2×#14519694C22semidirect
26. #16839551C22semidirect
27. #16839548C22semidirect
33. C2×#99×C61C22semidirect
34. C24×D61C2×C4semidirect
43. C22×C22⋊D61C2×C4semidirect
45. C23×Dic61C2×C4semidirect
56. #14519758C2×C4semidirect
57. #14519758C2×C4semidirect
68. #14519745C2×C4semidirect
69. #14519745C2×C4semidirect
77. C2×C22⋊Dic61C2×C4semidirect
78. C2×C22⋊Dic61C2×C4semidirect
79. C2×C22⋊Dic61C2×C4semidirect
129. C23×D61C22×C4semidirect
190. C22×Dic61C22×C4semidirect
200. C22⋊Dic61C22×C4semidirect
201. C22⋊Dic61C22×C4semidirect
362. C22×#99D61semidirect
376. C2×C61#2121semidirect
403. C2×#99C2×D61semidirect
406. C61C2×#2121semidirect
743. C2#21447463direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168403212
C22×#145196942
#214474632
C2×#168395512
C2×#168395482
C22×#99×C612
C2×#212161