Finite Group Databasebeta

← C2×#21447466 #29832741

Subgroups — C2×#21447466 #29832741

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×#14519692C211yesmaximal, characteristic, complemented
3#21447466C218yesmaximal, direct product factor
4C2×#16839553C212yesmaximal, complemented
5C2×#16839550C212yesmaximal, complemented
6C22×#100×C61C211yesmaximal, characteristic, complemented
7C23×C22⋊D61C411yescharacteristic, complemented
8#16840321—22no—
9#16840321—22no—
10#16840321C414yescomplemented
11#16840321C2214yes—
12C2×#14519760—21no—
13C2×#14519758C411yescharacteristic, complemented
14C2×#14519758C2211yescharacteristic
15C2×#14519749—21no—
16C2×#14519749—21no—
17C2×#14519746—21no—
18C2×#14519745C411yescharacteristic, complemented
19C2×#14519745C2211yescharacteristic
20C22×C22⋊Dic61—21no—
21C22×C22⋊Dic61C411yescharacteristic, complemented
22C2×#14519692—21no—
23C2×#14519692—22no—
24C2×#14519692C2212yes—
25C2×#14519692C2214yescomplemented
26#16839553C2218yescomplemented
27#16839550C2218yescomplemented
28C23×D4×C61C2211yescharacteristic
29C22×M16×C61—21no—
30C2×#100×C61—22no—
31C2×#100×C61—21no—
32C2×#100×C61C2212yes—
33C2×#100×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×Dic61—41no—
46C23×Dic61C2×C411yescharacteristic, complemented
47#14519760—24no—
48#14519760—24no—
49#14519758—22no—
50#14519758—21no—
51#14519758—21no—
52#14519758C2×C414yescomplemented
53#14519758C2×C412yescomplemented
54#14519758C2312yes—
55#14519749—24no—
56#14519749—24no—
57#14519749—24no—
58#14519749—24no—
59#14519746—24no—
60#14519746—24no—
61#14519745—22no—
62#14519745—21no—
63#14519745—21no—
64#14519745C2×C414yescomplemented
65#14519745C2×C412yescomplemented
66#14519745C2312yes—
67C2×#11758196—21no—
68C2×#11758196—21no—
69C2×C22⋊Dic61—21no—
70C2×C22⋊Dic61—22no—
71C2×C22⋊Dic61—21no—
72C2×C22⋊Dic61—21no—
73C2×C22⋊Dic61—22no—
74C2×C22⋊Dic61—24no—
75C2×C22⋊Dic61—42no—
76C2×C22⋊Dic61—41no—
77C2×C22⋊Dic61C2×C411yescharacteristic, complemented
78C2×C22⋊Dic61C2×C411yescharacteristic, complemented
79C2×C22⋊Dic61C2×C414yescomplemented
80C2×#11758198—21no—
81C2×#11758198—21no—
82#14519692—22no—
83#14519692—24no—
84#14519692C2314yes—
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×C61D411yescharacteristic
99C2×M16×C61—22no—
100C2×M16×C61—24no—
101C2×M16×C61—41no—
102C2×M16×C61—42no—
103C22×C8×C61—41no—
104#100×C61—22no—
105#100×C61—24no—
106#100×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—42no—
140C2×D4×C61—41no—
141C2×D4×C61—42no—
142C2×D4×C61—41no—
143C2×D4×C61—42no—
144C2×D4×C61—42no—
145C2×D4×C61—41no—
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×C61C22⋊C411yescharacteristic
160C22×C4×C61C22⋊C412yes—
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D412yes—
163C2×C22⋊D61—24no—
164C2×C22⋊D61—24no—
165C2×C22⋊D61—24no—
166C2×C22⋊D61—22no—
167C2×C22⋊D61—22no—
168C2×C22⋊D61—44no—
169C2×C22⋊D61—44no—
170C2×C22⋊D61—42no—
171C2×C22⋊D61—42no—
172C2×C22⋊D61—41no—
173C2×C22⋊D61—41no—
174C2×C22⋊D61—42no—
175C2×C22⋊D61—44no—
176C2×C22⋊D61—44no—
177C2×C22⋊D61—82no—
178C2×C22⋊D61—82no—
179C22×Dic61—21no—
180C22×Dic61—21no—
181C22×Dic61—21no—
182C22×Dic61—21no—
183C22×Dic61—24no—
184C22×Dic61—41no—
185C22×Dic61—41no—
186C22×Dic61—42no—
187C22×Dic61—44no—
188C22×Dic61—82no—
189C22×Dic61—84no—
190C22×Dic61C22×C412yescomplemented
191M16×C61—24no—
192M16×C61—42no—
193M16×C61—44no—
194C2×C8×C61—42no—
195C2×C8×C61—44no—
196C22⋊Dic61—21no—
197C22⋊Dic61—21no—
198C22⋊Dic61—24no—
199C22⋊Dic61—24no—
200C22⋊Dic61—22no—
201C22⋊Dic61—22no—
202C22⋊Dic61—24no—
203C22⋊Dic61—42no—
204C22⋊Dic61—44no—
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—22no—
214C23×C61—21no—
215C23×C61—21no—
216C23×C61—21no—
217C23×C61—21no—
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×C61C2×C22⋊C412yes—
285C2×C4×C61C2×C22⋊C411yescharacteristic
286C2×C4×C61C22×D411yescharacteristic
287C22⋊D61—48no—
288C22⋊D61—44no—
289C22⋊D61—44no—
290C22⋊D61—84no—
291C22⋊D61—82no—
292C22⋊D61—82no—
293C2×Dic61—22no—
294C2×Dic61—22no—
295C2×Dic61—22no—
296C2×Dic61—42no—
297C2×Dic61—42no—
298C2×Dic61—42no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—42no—
302C2×Dic61—44no—
303C2×Dic61—84no—
304C2×Dic61—88no—
305C2×Dic61—84no—
306C8×C61—44no—
307C2×#2121—611nomaximal, Sylow
308C22×C61—22no—
309C22×C61—22no—
310C22×C61—22no—
311C22×C61—21no—
312C22×C61—21no—
313C22×C61—21no—
314C22×C61—22no—
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—
356Dic61—42no—
357Dic61—42no—
358Dic61—42no—
359Dic61—84no—
360C2×#534—611no—
361C22×#100D6111yescharacteristic, complemented
362C22×#99—611no—
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—21no—
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—22no—
397C2×#100—21no—
398C2×#100C2×D6112yes—
399C2×#100C2×D6114yescomplemented
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—
408C25C4×D6111yescharacteristic
409C25D24411yescharacteristic
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—611no—
431C23×C4—1221no—
432C23×C4—2441no—
433C23×C4C22⋊D6111yescharacteristic
434C2×M16—22no—
435C2×M16—24no—
436C2×M16—42no—
437C2×M16—41no—
438C22×C8—41no—
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—611no—
462C2×C22⋊C4—611no—
463C2×C22⋊C4—614no—
464C2×C22⋊C4—1222no—
465C2×C22⋊C4—1221no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1222no—
471C2×C22⋊C4—1224no—
472C2×C22⋊C4—2442no—
473C2×C22⋊C4—2441no—
474#100—22no—
475#100—24no—
476#100C22×D6114yes—
477#99—614no—
478#99—1222no—
479#99—1224no—
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×D24411yescharacteristic
502C24C2×D24412yes—
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—612no—
549C22×C4—1224no—
550C22×C4—1221no—
551C22×C4—1221no—
552C22×C4—1221no—
553C22×C4—1221no—
554C22×C4—4884no—
555C22×C4—4882no—
556C22×C4—2444no—
557C22×C4—2442no—
558C22×C4—2441no—
559C22×C4—2441no—
560C22×C4#1175819811yescharacteristic
561C22×C4#1175819812yes—
562C22×C4C2×C22⋊D6111yescharacteristic
563C22×C4C2×C22⋊D6112yes—
564M16—24no—
565M16—42no—
566M16—44no—
567C2×C8—44no—
568C2×C8—42no—
569C4⋊C4—1222no—
570C4⋊C4—1224no—
571C4⋊C4—1222no—
572C22⋊C4—612no—
573C22⋊C4—612no—
574C22⋊C4—1222no—
575C22⋊C4—1221no—
576C22⋊C4—1221no—
577C22⋊C4—1224no—
578C22⋊C4—1224no—
579C22⋊C4—1222no—
580C22⋊C4—1222no—
581C22⋊C4—1224no—
582C22⋊C4—1222no—
583C22⋊C4—1224no—
584C22⋊C4—2442no—
585C22⋊C4—2444no—
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×D24411yescharacteristic
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—1222no—
664C2×C4—1222no—
665C2×C4—1222no—
666C2×C4—4888no—
667C2×C4—4884no—
668C2×C4—4884no—
669C2×C4—2444no—
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×C22⋊D6111yescharacteristic
679C8—44no—
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—4884no—
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#2144746612yesdirect product factor
744C2C22×#1451969111yescharacteristic
subgroupG/H
centerC22C2×#14519691
commutatorC23×C61C23×C4
FrattiniC2×D4C23×D61
FittingC22×#100×C61C2
socleC22×C61C2×#99
prime radicalC2×#16840321C2
cosocleC2×D4×C61C24
hypercenterC22×#100D61
hypocenterC61C2×#2121
LCSG ▷ C23×C61 ▷ C22×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C24 ◁ C23×D4 ◁ C22×#100

Complements

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

NH ≅ G/Ntype
2. C22×#14519692C2semidirect
3. #21447466C2direct (N × H)
4. C2×#16839553C2semidirect
5. C2×#16839550C2semidirect
6. C22×#100×C61C2semidirect
7. C23×C22⋊D61C4semidirect
10. #16840321C4semidirect
13. C2×#14519758C4semidirect
18. C2×#14519745C4semidirect
21. C22×C22⋊Dic61C4semidirect
25. C2×#14519692C22semidirect
26. #16839553C22semidirect
27. #16839550C22semidirect
33. C2×#100×C61C22semidirect
34. C24×D61C2×C4semidirect
43. C22×C22⋊D61C2×C4semidirect
46. C23×Dic61C2×C4semidirect
52. #14519758C2×C4semidirect
53. #14519758C2×C4semidirect
64. #14519745C2×C4semidirect
65. #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
205. C22⋊Dic61C22×C4semidirect
206. C22⋊Dic61C22×C4semidirect
361. C22×#100D61semidirect
376. C2×C61#2121semidirect
399. C2×#100C2×D61semidirect
406. C61C2×#2121semidirect
743. C2#21447466direct (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×#145196922
#214474662
C2×#168395532
C2×#168395502
C22×#100×C612
C2×#212161