Finite Group Databasebeta

← #29706931

Subgroups — #29706931

Order 15616.

2146 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519802C211yesmaximal, characteristic, complemented
2C2×#16840326C211yesmaximal, characteristic, complemented
3C2×#16839779C211yesmaximal, characteristic, complemented
4C2×#16839766C211yesmaximal, characteristic, complemented
5C2×#16839746C211yesmaximal, characteristic, complemented
6#21446839C214yesmaximal, complemented
7#21446832C214yesmaximal, complemented
8#21445528C211yesmaximal, characteristic, complemented
9C61×#3449C211yesmaximal, characteristic, complemented
10C23×D244C2211yescharacteristic
11C2×#14519802—24no—
12C2×#14519802—22no—
13C2×#14519802—24no—
14C2×#14519802C2214yes—
15C22×#11758201—21no—
16C22×#11758199—21no—
17C22×#11758194C2211yescharacteristic
18C22×#11758194C2211yescharacteristic
19#16840326—24no—
20#16840326—24no—
21C2×#14519773C2212yescomplemented
22C2×#14519766C2212yescomplemented
23C2×#14519751—22no—
24C2×#14519745—22no—
25C2×#14519736C2211yescharacteristic
26#16839779—24no—
27C2×#14519704C2214yescomplemented
28#16839766—22no—
29#16839766C2214yescomplemented
30C2×#14519697—22no—
31#16839746—24no—
32C2×#14519696C2212yescomplemented
33C2×#14519694C2212yescomplemented
34#16839521C2214yescomplemented
35C22×#41×C61C2211yescharacteristic
36C22×#41×C61C2211yescharacteristic
37C61×#537—22no—
38C61×#536—21no—
39C61×#536C2212yescomplemented
40C61×#535—21no—
41C61×#535C2212yescomplemented
42C61×#534—22no—
43C61×#532—22no—
44C61×#525—22no—
45C61×#525—22no—
46C2×#117×C61C2211yescharacteristic
47C24×D61—21no—
48C22×D244—21no—
49C22×D244—21no—
50C22×D244—21no—
51C22×D244—22no—
52C22×D244—21no—
53C22×D244—22no—
54C22×D244—21no—
55C22×D244—22no—
56C22×D244D414yescomplemented
57C22×D244C2312yes—
58C22×C22⋊D61—24no—
59#14519802—216no—
60#14519802—28no—
61#14519802—28no—
62C2×#11758201—28no—
63C2×#11758201—24no—
64C2×#11758199—28no—
65C2×#11758199—24no—
66C2×#11758194—22no—
67C2×#11758194—21no—
68C2×#11758194—21no—
69C2×#11758194—22no—
70C2×#11758194—22no—
71C2×#11758194D414yescomplemented
72C2×#11758194C2312yes—
73C2×#11758194C2312yes—
74C22×#92418—21no—
75C22×#92418—21no—
76#14519773—24no—
77#14519773—24no—
78#14519766—24no—
79#14519766—24no—
80#14519751—216no—
81#14519745—216no—
82#14519736—22no—
83#14519736D414yescomplemented
84C2×C4⋊Dic61—21no—
85C2×C22⋊Dic61—21no—
86C2×#11758198—24no—
87C2×C4×Dic61C2312yes—
88#14519704—28no—
89#14519697—28no—
90#14519696—24no—
91#14519694—24no—
92C2×#41×C61—21no—
93C2×#41×C61—21no—
94C2×#41×C61—21no—
95C2×#41×C61—21no—
96C2×#41×C61—22no—
97C2×#41×C61—22no—
98C2×#41×C61—22no—
99C2×#41×C61—21no—
100C2×#41×C61—21no—
101C2×#41×C61—22no—
102C2×#41×C61—22no—
103C2×#41×C61—22no—
104C2×#41×C61—22no—
105C2×#41×C61—22no—
106C2×#41×C61D412yescomplemented
107C2×#41×C61C2312yes—
108C22×Q8×C61D411yescharacteristic, complemented
109C22×Q8×C61C2311yescharacteristic
110C22×D4×C61—21no—
111C22×D4×C61D412yes—
112C22×D4×C61D411yescharacteristic, complemented
113C22×D4×C61C2311yescharacteristic
114C23×C4×C61—21no—
115C23×C4×C61D412yes—
116C23×C4×C61C2311yescharacteristic
117C4⋊Q8×C61—22no—
118#127×C61—22no—
119#124×C61—22no—
120#124×C61—22no—
121#123×C61—24no—
122#123×C61—24no—
123C22⋊Q8×C61—24no—
124C22⋊Q8×C61—24no—
125#121×C61—28no—
126#121×C61—24no—
127#121×C61—24no—
128#120×C61—24no—
129#120×C61—24no—
130C4×D4×C61—28no—
131#117×C61—21no—
132#117×C61—21no—
133#117×C61D412yescomplemented
134#117×C61C2312yes—
135C2×C4⋊C4×C61D412yescomplemented
136C2×C22⋊C4×C61—21no—
137C2×C42×C61—21no—
138C24×C61—21no—
139C24×C61C2×D412yes—
140C24×C61C2×D411yescharacteristic
141C23×D61—22no—
142C23×D61—24no—
143C23×D61—41no—
144C23×D61—41no—
145C23×D61—42no—
146C23×D61—84no—
147#41×C61—24no—
148#41×C61—24no—
149#41×C61—22no—
150#41×C61—22no—
151#41×C61—22no—
152#41×C61—22no—
153#41×C61—42no—
154#41×C61—42no—
155#41×C61—42no—
156#41×C61—42no—
157#41×C61—42no—
158#41×C61—42no—
159#41×C61—42no—
160#41×C61—42no—
161#41×C61—42no—
162#41×C61—42no—
163#41×C61—42no—
164#41×C61—42no—
165C2×Q8×C61—21no—
166C2×Q8×C61—21no—
167C2×Q8×C61—21no—
168C2×Q8×C61—21no—
169C2×Q8×C61—21no—
170C2×Q8×C61—21no—
171C2×Q8×C61—21no—
172C2×Q8×C61—22no—
173C2×Q8×C61—22no—
174C2×Q8×C61C2×D412yes—
175C2×D4×C61—22no—
176C2×D4×C61—22no—
177C2×D4×C61—22no—
178C2×D4×C61—24no—
179C2×D4×C61—24no—
180C2×D4×C61—22no—
181C2×D4×C61—28no—
182C2×D4×C61—22no—
183C2×D4×C61—21no—
184C2×D4×C61—22no—
185C2×D4×C61—21no—
186C2×D4×C61—21no—
187C2×D4×C61—21no—
188C2×D4×C61—21no—
189C2×D4×C61—21no—
190C2×D4×C61—21no—
191C2×D4×C61—42no—
192C2×D4×C61—42no—
193C2×D4×C61C2×D412yes—
194C22×C4×C61—21no—
195C22×C4×C61—22no—
196C22×C4×C61—22no—
197C22×C4×C61—22no—
198C22×C4×C61—22no—
199C22×C4×C61—24no—
200C22×C4×C61—24no—
201C22×C4×C61—22no—
202C22×C4×C61—42no—
203C22×C4×C61—42no—
204C22×C4×C61C2×D412yes—
205C22×C4×C61C2×D411yescharacteristic
206C22×C4×C61C2×D412yes—
207C22×C4×C61C2×D411yescharacteristic
208C22×C4×C61C2×D411yescharacteristic
209C22×C4×C61C2×D412yes—
210C22×C4×C61C2×D412yes—
211C22×C4×C61C2×D411yescharacteristic
212C22×C4×C61C2×D411yescharacteristic
213C22×C4×C61#4112yes—
214C22×C4×C61C2411yescharacteristic
215C2×C22⋊D61—216no—
216C2×C22⋊D61—88no—
217C22×Dic61—22no—
218C2×D244—24no—
219C2×D244—24no—
220C2×D244—24no—
221C2×D244—24no—
222C2×D244—22no—
223C2×D244—22no—
224C2×D244—22no—
225C2×D244—22no—
226C2×D244—24no—
227C2×D244—22no—
228C2×D244—41no—
229C2×D244—41no—
230C2×D244—42no—
231C2×D244—42no—
232C2×D244—42no—
233C2×D244—42no—
234C2×D244—42no—
235C2×D244C2×D414yes—
236C4⋊C4×C61—28no—
237C4⋊C4×C61—22no—
238C4⋊C4×C61C2×D414yes—
239C22⋊C4×C61—28no—
240C22⋊C4×C61—28no—
241C22⋊C4×C61—22no—
242C22⋊C4×C61—22no—
243C42×C61—22no—
244C42×C61—22no—
245C22⋊Dic61—24no—
246#11758201—216no—
247#11758199—216no—
248#11758198—216no—
249C4⋊Dic61—24no—
250C4×Dic61—22no—
251C4×Dic61C2×D414yes—
252#11758194—24no—
253#11758194—22no—
254#11758194—22no—
255#11758194—22no—
256#11758194—42no—
257#11758194C2×D414yes—
258C2×#92418—24no—
259C2×#92418—22no—
260C2×#92418—22no—
261C2×#92418—42no—
262C23×C61—22no—
263C23×C61—22no—
264C23×C61—22no—
265C23×C61—22no—
266C23×C61—42no—
267C23×C61—44no—
268C23×C61—42no—
269C23×C61—82no—
270C23×C61#12011yescharacteristic
271C23×C61#12011yescharacteristic
272C23×C61#12012yes—
273C23×C61#12112yes—
274C23×C61C22×D411yescharacteristic
275C22×D61—24no—
276C22×D61—48no—
277C22×D61—42no—
278C22×D61—42no—
279C22×D61—44no—
280C22×D61—44no—
281C22×D61—88no—
282C22×D61—84no—
283C22×D61—84no—
284C22×D61—88no—
285Q8×C61—22no—
286Q8×C61—22no—
287Q8×C61—41no—
288Q8×C61—41no—
289Q8×C61—41no—
290Q8×C61—41no—
291Q8×C61—42no—
292D4×C61—22no—
293D4×C61—22no—
294D4×C61—42no—
295D4×C61—42no—
296D4×C61—44no—
297D4×C61—44no—
298D4×C61—44no—
299D4×C61—41no—
300D4×C61—41no—
301D4×C61—41no—
302D4×C61—41no—
303D4×C61—42no—
304D4×C61—88no—
305C2×C4×C61—22no—
306C2×C4×C61—24no—
307C2×C4×C61—22no—
308C2×C4×C61—22no—
309C2×C4×C61—22no—
310C2×C4×C61—42no—
311C2×C4×C61—42no—
312C2×C4×C61—42no—
313C2×C4×C61—44no—
314C2×C4×C61—44no—
315C2×C4×C61—44no—
316C2×C4×C61—82no—
317C2×C4×C61#12012yes—
318C2×C4×C61#12012yes—
319C2×C4×C61#12012yes—
320C2×C4×C61#12011yescharacteristic
321C2×C4×C61#12011yescharacteristic
322C2×C4×C61#12112yes—
323C2×C4×C61#12112yes—
324C2×C4×C61#12112yes—
325C2×C4×C61#12112yes—
326C2×C4×C61#12112yes—
327C2×C4×C61#12712yes—
328C2×C4×C61#12712yes—
329C2×C4×C61C22×D411yescharacteristic
330C2×C4×C61C22×D411yescharacteristic
331C2×C4×C61C22×D411yescharacteristic
332C2×C4×C61C22×D411yescharacteristic
333C2×C4×C61C22×D411yescharacteristic
334C2×C4×C61C2×#4111yescharacteristic
335C22⋊D61—816no—
336C2×Dic61—24no—
337C2×Dic61—44no—
338D244—24no—
339D244—24no—
340D244—42no—
341D244—42no—
342D244—44no—
343D244—44no—
344#92418—24no—
345#92418—42no—
346#23400—611nomaximal, Sylow
347C22×C61—22no—
348C22×C61—22no—
349C22×C61—22no—
350C22×C61—42no—
351C22×C61—42no—
352C22×C61—44no—
353C22×C61—42no—
354C22×C61—42no—
355C22×C61—44no—
356C22×C61—44no—
357C22×C61—82no—
358C22×C61—84no—
359C22×C61#39212yes—
360C22×C61#39212yes—
361C22×C61C2×#12011yescharacteristic
362C22×C61C2×#12011yescharacteristic
363C22×C61C2×#12111yescharacteristic
364C2×D61—48no—
365C2×D61—44no—
366C2×D61—84no—
367C2×D61—88no—
368C2×D61—88no—
369C2×D61—84no—
370C4×C61—42no—
371C4×C61—42no—
372C4×C61—44no—
373C4×C61#39212yes—
374C4×C61#39212yes—
375C4×C61C2×#12011yescharacteristic
376C4×C61C2×#12111yescharacteristic
377C4×C61C2×#12111yescharacteristic
378C4×C61C2×#12711yescharacteristic
379Dic61—44no—
380C22×AGL(1,ℤ/8)—611no—
381#3449D6111yescharacteristic, complemented
382C2×#535—611no—
383C2×#421—611no—
384C2×#418—611no—
385C2×#413—611no—
386#2003—614no—
387#2002—614no—
388#1733—611no—
389C2×C61—21no—
390C2×C61—21no—
391C2×C61—22no—
392C2×C61—22no—
393C2×C61—82no—
394C2×C61—82no—
395C2×C61C2×#39211yescharacteristic
396C2×C61#302112yes—
397D61—84no—
398C22×#41C2×D6111yescharacteristic
399C22×#41C2×D6111yescharacteristic
400C23×D4—611no—
401C2×AGL(1,ℤ/8)—614no—
402C2×AGL(1,ℤ/8)—1224no—
403C2×AGL(1,ℤ/8)—1224no—
404C2×AGL(1,ℤ/8)—1222no—
405C22×SD16—1221no—
406C22×D8—1221no—
407C22×M16—611no—
408C22×M16—611no—
409#537—22no—
410#536—21no—
411#536C2×D6112yescomplemented
412#535—21no—
413#535—1224no—
414#535—1224no—
415#535C2×D6112yescomplemented
416#534—22no—
417#532—22no—
418C2×#127—612no—
419C2×#124—612no—
420#525—22no—
421#525—22no—
422C2×#121—1222no—
423C2×#120—1222no—
424C2×#117—611no—
425C2×#117C2×D6111yescharacteristic
426#421—1224no—
427C2×#104—614no—
428#418—614no—
429#418—1222no—
430C2×#102—1222no—
431#413—1224no—
432C2×#101—612no—
433C2×#100—612no—
434#339—614no—
435C61#2340011yescharacteristic, complemented, Sylow
436C25—1221no—
437C2×#41—22no—
438C2×#41—22no—
439C2×#41—22no—
440C2×#41—22no—
441C2×#41—21no—
442C2×#41—21no—
443C2×#41—21no—
444C2×#41—21no—
445C2×#41—21no—
446C2×#41—21no—
447C2×#41—22no—
448C2×#41—22no—
449C2×#41—22no—
450C2×#41—22no—
451C2×#41C22⋊D6112yescomplemented
452C2×#41C22×D6112yes—
453C22×Q8C22⋊D6111yescharacteristic, complemented
454C22×Q8C22×D6111yescharacteristic
455C22×D4—21no—
456C22×D4—614no—
457C22×D4—612no—
458C22×D4—1224no—
459C22×D4—1222no—
460C22×D4—1222no—
461C22×D4—1222no—
462C22×D4—1221no—
463C22×D4—1221no—
464C22×D4—1221no—
465C22×D4—1221no—
466C22×D4—1221no—
467C22×D4C22⋊D6112yes—
468C22×D4C22⋊D6111yescharacteristic, complemented
469C22×D4C22×D6111yescharacteristic
470C23×C4—21no—
471C23×C4C22⋊D6112yes—
472C23×C4C22×D6111yescharacteristic
473AGL(1,ℤ/8)—1228no—
474AGL(1,ℤ/8)—1228no—
475AGL(1,ℤ/8)—12216no—
476C2×SD16—1228no—
477C2×SD16—1224no—
478C2×D8—1228no—
479C2×D8—1224no—
480C2×M16—614no—
481C2×M16—612no—
482C2×M16—612no—
483C2×M16—1222no—
484C2×M16—1221no—
485C2×M16—1221no—
486C2×M16—1222no—
487C2×M16—1222no—
488C22×C8—1221no—
489C22×C8—1221no—
490C4⋊Q8—22no—
491#127—22no—
492#127—1224no—
493#127—1224no—
494#124—22no—
495#124—22no—
496#124—1224no—
497#124—1224no—
498#123—24no—
499#123—24no—
500C22⋊Q8—24no—
501C22⋊Q8—24no—
502#121—24no—
503#121—28no—
504#121—24no—
505#121—12216no—
506#120—24no—
507#120—24no—
508#120—12216no—
509C4×D4—28no—
510#117—21no—
511#117—21no—
512#117—614no—
513#117—1222no—
514#117C22⋊D6112yescomplemented
515#117C22×D6112yes—
516C2×C4⋊C4—1221no—
517C2×C4⋊C4C22⋊D6112yescomplemented
518C2×C22⋊C4—21no—
519C2×C22⋊C4—1221no—
520C2×C22⋊C4—1224no—
521C2×C42—21no—
522C2×C42—612no—
523#104—1228no—
524#102—1228no—
525#101—1224no—
526#100—1224no—
527C24—21no—
528C24—1224no—
529C24—1222no—
530C24—4884no—
531C24—2441no—
532C24—2441no—
533C24—2442no—
534C24C2×C22⋊D6112yes—
535C24C2×C22⋊D6111yescharacteristic
536#41—22no—
537#41—22no—
538#41—22no—
539#41—22no—
540#41—24no—
541#41—24no—
542#41—42no—
543#41—42no—
544#41—42no—
545#41—42no—
546#41—42no—
547#41—42no—
548#41—42no—
549#41—42no—
550#41—42no—
551#41—42no—
552#41—42no—
553#41—42no—
554C2×Q8—21no—
555C2×Q8—21no—
556C2×Q8—21no—
557C2×Q8—21no—
558C2×Q8—21no—
559C2×Q8—21no—
560C2×Q8—21no—
561C2×Q8—22no—
562C2×Q8—22no—
563C2×Q8C2×C22⋊D6112yes—
564C2×D4—22no—
565C2×D4—24no—
566C2×D4—22no—
567C2×D4—22no—
568C2×D4—22no—
569C2×D4—24no—
570C2×D4—28no—
571C2×D4—21no—
572C2×D4—21no—
573C2×D4—21no—
574C2×D4—21no—
575C2×D4—21no—
576C2×D4—21no—
577C2×D4—22no—
578C2×D4—21no—
579C2×D4—22no—
580C2×D4—42no—
581C2×D4—42no—
582C2×D4—614no—
583C2×D4—12216no—
584C2×D4—1222no—
585C2×D4—1222no—
586C2×D4—1222no—
587C2×D4—1222no—
588C2×D4—1222no—
589C2×D4—1224no—
590C2×D4—1224no—
591C2×D4—1224no—
592C2×D4—1224no—
593C2×D4—1224no—
594C2×D4—4888no—
595C2×D4—2441no—
596C2×D4—2441no—
597C2×D4—2442no—
598C2×D4—2442no—
599C2×D4—2442no—
600C2×D4—2442no—
601C2×D4—2442no—
602C2×D4C2×C22⋊D6112yes—
603C22×C4—21no—
604C22×C4—22no—
605C22×C4—22no—
606C22×C4—24no—
607C22×C4—22no—
608C22×C4—22no—
609C22×C4—22no—
610C22×C4—24no—
611C22×C4—42no—
612C22×C4—42no—
613C22×C4—1222no—
614C22×C4D4×D6112yes—
615C22×C4D4×D6112yes—
616C22×C4D4×D6112yes—
617C22×C4#1175822412yes—
618C22×C4C2×C22⋊D6112yes—
619C22×C4C2×C22⋊D6111yescharacteristic
620C22×C4C2×C22⋊D6111yescharacteristic
621C22×C4C2×C22⋊D6111yescharacteristic
622C22×C4C2×C22⋊D6111yescharacteristic
623C22×C4C2×C22⋊D6111yescharacteristic
624C22×C4C23×D6111yescharacteristic
625SD16—12216no—
626D8—12216no—
627M16—614no—
628M16—1222no—
629M16—1224no—
630M16—1222no—
631M16—1222no—
632M16—2442no—
633C2×C8—1222no—
634C2×C8—1224no—
635C2×C8—1222no—
636C2×C8—2442no—
637C4⋊C4—28no—
638C4⋊C4—22no—
639C4⋊C4—1224no—
640C4⋊C4C2×C22⋊D6114yes—
641C22⋊C4—28no—
642C22⋊C4—28no—
643C22⋊C4—22no—
644C22⋊C4—22no—
645C22⋊C4—12216no—
646C22⋊C4—1224no—
647C42—22no—
648C42—22no—
649C42—614no—
650C42—1222no—
651C23—22no—
652C23—22no—
653C23—22no—
654C23—22no—
655C23—42no—
656C23—44no—
657C23—42no—
658C23—82no—
659C23—1224no—
660C23—4884no—
661C23—4884no—
662C23—4888no—
663C23—4888no—
664C23—2448no—
665C23—2442no—
666C23—2442no—
667C23—2444no—
668C23—2444no—
669C23#1451974512yes—
670C23#1451974611yescharacteristic
671C23#1451974611yescharacteristic
672C23#1451974912yes—
673C23C22×C22⋊D6111yescharacteristic
674Q8—22no—
675Q8—22no—
676Q8—41no—
677Q8—41no—
678Q8—41no—
679Q8—41no—
680Q8—42no—
681D4—22no—
682D4—22no—
683D4—42no—
684D4—42no—
685D4—44no—
686D4—44no—
687D4—44no—
688D4—41no—
689D4—41no—
690D4—41no—
691D4—41no—
692D4—42no—
693D4—88no—
694D4—1224no—
695D4—1224no—
696D4—48816no—
697D4—2442no—
698D4—2442no—
699D4—2444no—
700D4—2444no—
701C2×C4—22no—
702C2×C4—24no—
703C2×C4—22no—
704C2×C4—22no—
705C2×C4—22no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—82no—
713C2×C4—1224no—
714C2×C4—2444no—
715C2×C4#1451974512yes—
716C2×C4#1451974512yes—
717C2×C4#1451974512yes—
718C2×C4#1451974611yescharacteristic
719C2×C4#1451974611yescharacteristic
720C2×C4#1451974812yes—
721C2×C4#1451974812yes—
722C2×C4#1451974912yes—
723C2×C4#1451974912yes—
724C2×C4#1451974912yes—
725C2×C4#1451977312yes—
726C2×C4#1451977312yes—
727C2×C4C2×D4×D6111yescharacteristic
728C2×C4C2×D4×D6111yescharacteristic
729C2×C4C2×D4×D6111yescharacteristic
730C2×C4C22×C22⋊D6111yescharacteristic
731C2×C4C22×C22⋊D6111yescharacteristic
732C2×C4C2×#1175822411yescharacteristic
733C8—1224no—
734C8—2442no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—42no—
739C22—42no—
740C22—44no—
741C22—42no—
742C22—42no—
743C22—44no—
744C22—44no—
745C22—82no—
746C22—84no—
747C22—4888no—
748C22—4888no—
749C22—4884no—
750C22—4884no—
751C22—2448no—
752C22—2444no—
753C22#1683967012yes—
754C22#1683967012yes—
755C22C2×#1451974511yescharacteristic
756C22C2×#1451974611yescharacteristic
757C22C2×#1451974911yescharacteristic
758C4—42no—
759C4—42no—
760C4—44no—
761C4—2444no—
762C4#1683967012yes—
763C4#1683967012yes—
764C4C2×#1451974511yescharacteristic
765C4C2×#1451974811yescharacteristic
766C4C2×#1451974911yescharacteristic
767C4C2×#1451977311yescharacteristic
768C2—21no—
769C2—21no—
770C2—22no—
771C2—22no—
772C2—82no—
773C2—82no—
774C2—4884no—
775C2C2×#1683967011yescharacteristic
776C2#2145519112yes—
subgroupG/H
centerC22C2×#14519746
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#3449C2
socleC22×C61C2×#120
hypercenter#3449D61
hypocenterC61#23400
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3449

Complements

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

NH ≅ G/Ntype
1. C22×#14519802C2semidirect
2. C2×#16840326C2semidirect
3. C2×#16839779C2semidirect
4. C2×#16839766C2semidirect
5. C2×#16839746C2semidirect
6. #21446839C2semidirect
7. #21446832C2semidirect
8. #21445528C2semidirect
9. C61×#3449C2semidirect
21. C2×#14519773C22semidirect
22. C2×#14519766C22semidirect
27. C2×#14519704C22semidirect
29. #16839766C22semidirect
32. C2×#14519696C22semidirect
33. C2×#14519694C22semidirect
34. #16839521C22semidirect
39. C61×#536C22semidirect
41. C61×#535C22semidirect
56. C22×D244D4semidirect
71. C2×#11758194D4semidirect
83. #14519736D4semidirect
106. C2×#41×C61D4semidirect
108. C22×Q8×C61D4semidirect
112. C22×D4×C61D4semidirect
133. #117×C61D4semidirect
135. C2×C4⋊C4×C61D4semidirect
381. #3449D61semidirect
411. #536C2×D61semidirect
415. #535C2×D61semidirect
435. C61#23400semidirect
451. C2×#41C22⋊D61semidirect
453. C22×Q8C22⋊D61semidirect
468. C22×D4C22⋊D61semidirect
514. #117C22⋊D61semidirect
517. C2×C4⋊C4C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
C22×#145198022
C2×#168403262
C2×#168397792
C2×#168397662
C2×#168397462
#214468392
#214468322
#214455282
C61×#34492
#2340061