Finite Group Databasebeta

← #29706933

Subgroups — #29706933

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×#14519803C211yesmaximal, characteristic, complemented
2#21459148C211yesmaximal, characteristic, complemented
3C2×#16839780C211yesmaximal, characteristic, complemented
4C2×#16839767C211yesmaximal, characteristic, complemented
5C2×#16839746C211yesmaximal, characteristic, complemented
6#21446841C214yesmaximal, complemented
7#21446834C214yesmaximal, complemented
8#21445529C211yesmaximal, characteristic, complemented
9C2×C61×#535C211yesmaximal, characteristic, complemented
10C22×#11758222C2211yescharacteristic
11C2×#14519803—24no—
12C2×#14519803—24no—
13C2×#14519803—22no—
14C2×#14519803C2214yes—
15C22×#11758200—21no—
16C22×#11758199—21no—
17C22×#11758194C2211yescharacteristic
18C22×#11758194C2211yescharacteristic
19#16840340—22no—
20#16840336C2212yescomplemented
21#16840333—21no—
22#16840329C2212yescomplemented
23#16840326—21no—
24#16840321—22no—
25#16840308—22no—
26#16840273—22no—
27#16840269—22no—
28C2×#14519736C2211yescharacteristic
29#16839780—24no—
30C2×#14519705C2214yescomplemented
31#16839767—22no—
32#16839767C2214yescomplemented
33C2×#14519698—22no—
34#16839746—24no—
35C2×#14519696C2212yescomplemented
36C2×#14519694C2212yescomplemented
37#16839522C2214yescomplemented
38C22×#41×C61C2211yescharacteristic
39C23×D4×C61C2211yescharacteristic
40C61×#535—24no—
41C61×#535—24no—
42C2×#127×C61C2212yescomplemented
43C2×#124×C61C2212yescomplemented
44C2×#121×C61—22no—
45C2×#120×C61—22no—
46C2×#117×C61C2211yescharacteristic
47C2×#11758222—21no—
48C2×#11758222—21no—
49C2×#11758222—22no—
50C2×#11758222—22no—
51C2×#11758222—22no—
52C2×#11758222—22no—
53C2×#11758222D412yescomplemented
54C2×#11758222C2312yes—
55C22×Dic122D411yescharacteristic, complemented
56C22×D244D411yescharacteristic, complemented
57C22×C22⋊D61—21no—
58C22×C4×D61—21no—
59#14519803—216no—
60#14519803—28no—
61#14519803—28no—
62C2×#11758200—28no—
63C2×#11758200—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#14519775—22no—
77#14519773—22no—
78#14519766—22no—
79#14519764—22no—
80#14519760—24no—
81#14519758—24no—
82#14519756—24no—
83#14519753—24no—
84#14519751—24no—
85#14519749—28no—
86#14519748—24no—
87#14519746—24no—
88#14519745—24no—
89C4×C22⋊D61—28no—
90#14519736—21no—
91#14519736—21no—
92#14519736D412yescomplemented
93#14519736C2312yes—
94C2×C4⋊Dic61D412yescomplemented
95C2×C22⋊Dic61—21no—
96C2×C4×Dic61—21no—
97#14519705—28no—
98#14519698—28no—
99#14519696—24no—
100#14519694—24no—
101C25×C61—21no—
102C2×#41×C61—22no—
103C2×#41×C61—22no—
104C2×#41×C61—22no—
105C2×#41×C61—21no—
106C2×#41×C61—21no—
107C2×#41×C61—21no—
108C2×#41×C61—21no—
109C2×#41×C61—22no—
110C22×Q8×C61C2311yescharacteristic
111C22×D4×C61—24no—
112C22×D4×C61—21no—
113C22×D4×C61—21no—
114C22×D4×C61—21no—
115C22×D4×C61—21no—
116C22×D4×C61—22no—
117C22×D4×C61—22no—
118C22×D4×C61—21no—
119C22×D4×C61—22no—
120C22×D4×C61D412yes—
121C22×D4×C61D414yescomplemented
122C22×D4×C61C2311yescharacteristic
123C22×D4×C61C2312yes—
124C23×C4×C61D412yes—
125C23×C4×C61C2311yescharacteristic
126#127×C61—24no—
127#127×C61—24no—
128#124×C61—24no—
129#124×C61—24no—
130#121×C61—216no—
131#120×C61—216no—
132#117×C61—22no—
133#117×C61D414yescomplemented
134C2×C4⋊C4×C61—21no—
135C2×C22⋊C4×C61—21no—
136C2×C22⋊C4×C61—24no—
137C2×C42×C61C2312yes—
138C24×C61—22no—
139C24×C61—24no—
140C24×C61—41no—
141C24×C61—41no—
142C24×C61—42no—
143C24×C61—84no—
144C24×C61C2×D412yes—
145C24×C61C2×D411yescharacteristic
146C23×D61—21no—
147#41×C61—42no—
148#41×C61—42no—
149#41×C61—42no—
150#41×C61—42no—
151#41×C61—42no—
152#41×C61—42no—
153#41×C61—42no—
154#41×C61—42no—
155C2×Q8×C61—21no—
156C2×Q8×C61—21no—
157C2×Q8×C61—21no—
158C2×Q8×C61—21no—
159C2×Q8×C61—21no—
160C2×Q8×C61—21no—
161C2×D4×C61—24no—
162C2×D4×C61—22no—
163C2×D4×C61—22no—
164C2×D4×C61—24no—
165C2×D4×C61—216no—
166C2×D4×C61—24no—
167C2×D4×C61—24no—
168C2×D4×C61—24no—
169C2×D4×C61—24no—
170C2×D4×C61—24no—
171C2×D4×C61—22no—
172C2×D4×C61—22no—
173C2×D4×C61—22no—
174C2×D4×C61—22no—
175C2×D4×C61—21no—
176C2×D4×C61—21no—
177C2×D4×C61—21no—
178C2×D4×C61—21no—
179C2×D4×C61—21no—
180C2×D4×C61—22no—
181C2×D4×C61—21no—
182C2×D4×C61—41no—
183C2×D4×C61—41no—
184C2×D4×C61—42no—
185C2×D4×C61—42no—
186C2×D4×C61—42no—
187C2×D4×C61—42no—
188C2×D4×C61—42no—
189C2×D4×C61—88no—
190C2×D4×C61C2×D414yes—
191C22×C4×C61—22no—
192C22×C4×C61—24no—
193C22×C4×C61—22no—
194C22×C4×C61—22no—
195C22×C4×C61—24no—
196C22×C4×C61C2×D412yes—
197C22×C4×C61C2×D411yescharacteristic
198C22×C4×C61C2×D411yescharacteristic
199C22×C4×C61C2×D411yescharacteristic
200C22×C4×C61C2×D412yes—
201C22×C4×C61C2×D412yes—
202C22×C4×C61C2×D411yescharacteristic
203C22×C4×C61C2×D411yescharacteristic
204C22×C4×C61C2×D412yes—
205C22×C4×C61#4112yes—
206C22×C4×C61C2411yescharacteristic
207C2×C22⋊D61—22no—
208C2×C22⋊D61—22no—
209C2×C22⋊D61—28no—
210C2×C22⋊D61—42no—
211C2×C22⋊D61—42no—
212C22×Dic61—21no—
213C22×Dic61—22no—
214#11758222—24no—
215#11758222—24no—
216#11758222—22no—
217#11758222—22no—
218#11758222—22no—
219#11758222—22no—
220#11758222—42no—
221#11758222—42no—
222#11758222—42no—
223#11758222—42no—
224C2×D244—22no—
225C2×D244—22no—
226C2×D244—21no—
227C2×D244C2×D412yes—
228C2×C4×D61—22no—
229C2×C4×D61—22no—
230C2×C4×D61—42no—
231C2×C4×D61—42no—
232C2×Dic122—22no—
233C2×Dic122—22no—
234C2×Dic122—21no—
235C2×Dic122C2×D412yes—
236C4⋊C4×C61—24no—
237C22⋊C4×C61—216no—
238C22⋊C4×C61—24no—
239C42×C61—22no—
240C42×C61C2×D414yes—
241C22⋊Dic61—28no—
242C22⋊Dic61—22no—
243C22⋊Dic61—22no—
244#11758200—216no—
245#11758199—216no—
246#11758198—28no—
247C4⋊Dic61—22no—
248C4⋊Dic61C2×D414yes—
249#11758196—28no—
250C4×Dic61—22no—
251C4×Dic61—22no—
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—24no—
264C23×C61—22no—
265C23×C61—22no—
266C23×C61—42no—
267C23×C61—44no—
268C23×C61—48no—
269C23×C61—42no—
270C23×C61—42no—
271C23×C61—44no—
272C23×C61—44no—
273C23×C61—84no—
274C23×C61—84no—
275C23×C61—88no—
276C23×C61—88no—
277C23×C61#12011yescharacteristic
278C23×C61#12011yescharacteristic
279C23×C61#12012yes—
280C23×C61#12112yes—
281C23×C61C22×D411yescharacteristic
282C22×D61—22no—
283C22×D61—42no—
284C22×D61—82no—
285Q8×C61—41no—
286Q8×C61—41no—
287Q8×C61—41no—
288Q8×C61—41no—
289D4×C61—24no—
290D4×C61—24no—
291D4×C61—44no—
292D4×C61—44no—
293D4×C61—41no—
294D4×C61—42no—
295D4×C61—41no—
296D4×C61—41no—
297D4×C61—42no—
298D4×C61—41no—
299D4×C61—44no—
300D4×C61—44no—
301D4×C61—816no—
302C2×C4×C61—22no—
303C2×C4×C61—24no—
304C2×C4×C61—22no—
305C2×C4×C61—22no—
306C2×C4×C61—44no—
307C2×C4×C61—44no—
308C2×C4×C61—44no—
309C2×C4×C61#12012yes—
310C2×C4×C61#12012yes—
311C2×C4×C61#12011yescharacteristic
312C2×C4×C61#12011yescharacteristic
313C2×C4×C61#12012yes—
314C2×C4×C61#12112yes—
315C2×C4×C61#12112yes—
316C2×C4×C61#12112yes—
317C2×C4×C61#12112yes—
318C2×C4×C61#12112yes—
319C2×C4×C61#12712yes—
320C2×C4×C61#12712yes—
321C2×C4×C61C22×D411yescharacteristic
322C2×C4×C61C22×D411yescharacteristic
323C2×C4×C61C22×D411yescharacteristic
324C2×C4×C61C22×D411yescharacteristic
325C2×C4×C61C22×D411yescharacteristic
326C2×C4×C61C2×#4111yescharacteristic
327C22⋊D61—42no—
328C22⋊D61—42no—
329C22⋊D61—44no—
330C22⋊D61—88no—
331C2×Dic61—24no—
332C2×Dic61—22no—
333C2×Dic61—42no—
334C2×Dic61—82no—
335D244—22no—
336D244—22no—
337D244—42no—
338C4×D61—42no—
339C4×D61—42no—
340C4×D61—44no—
341Dic122—22no—
342Dic122—22no—
343Dic122—42no—
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—48no—
354C22×C61—42no—
355C22×C61—44no—
356C22×C61—44no—
357C22×C61—82no—
358C22×C61—84no—
359C22×C61—88no—
360C22×C61—88no—
361C22×C61—84no—
362C22×C61#39212yes—
363C22×C61#39212yes—
364C22×C61C2×#12011yescharacteristic
365C22×C61C2×#12011yescharacteristic
366C22×C61C2×#12111yescharacteristic
367C2×D61—42no—
368C2×D61—44no—
369C2×D61—84no—
370C4×C61—44no—
371C4×C61—42no—
372C4×C61#39212yes—
373C4×C61#39212yes—
374C4×C61C2×#12011yescharacteristic
375C4×C61C2×#12111yescharacteristic
376C4×C61C2×#12111yescharacteristic
377C4×C61C2×#12711yescharacteristic
378Dic61—42no—
379Dic61—44no—
380C22×AGL(1,ℤ/8)—611no—
381#3449—611no—
382C2×#535D6111yescharacteristic, complemented
383C2×#421—611no—
384C2×#418—611no—
385C2×#413—611no—
386#2003—614no—
387#2002—614no—
388#1733—611no—
389C2×C61—21no—
390C2×C61—22no—
391C2×C61—21no—
392C2×C61—22no—
393C2×C61—82no—
394C2×C61—84no—
395C2×C61C2×#39211yescharacteristic
396C2×C61#302112yes—
397D61—82no—
398C22×#41—611no—
399C22×#41C2×D6111yescharacteristic
400C23×D4C2×D6111yescharacteristic
401C2×AGL(1,ℤ/8)—614no—
402C2×AGL(1,ℤ/8)—1224no—
403C2×AGL(1,ℤ/8)—1222no—
404C2×AGL(1,ℤ/8)—1224no—
405C22×SD16—1221no—
406C22×D8—1221no—
407C22×M16—611no—
408C22×M16—611no—
409#537—1222no—
410#536—612no—
411#536—1221no—
412#535—24no—
413#535—24no—
414#535—612no—
415#535—1221no—
416#534—1222no—
417#532—1222no—
418C2×#127C2×D6112yescomplemented
419C2×#124C2×D6112yescomplemented
420#525—1222no—
421#525—1222no—
422C2×#121—22no—
423C2×#120—22no—
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—21no—
437C2×#41—21no—
438C2×#41—21no—
439C2×#41—21no—
440C2×#41—21no—
441C2×#41—22no—
442C2×#41—22no—
443C2×#41—22no—
444C2×#41—22no—
445C2×#41—612no—
446C2×#41—612no—
447C2×#41—1221no—
448C2×#41—1221no—
449C2×#41—1222no—
450C2×#41—1222no—
451C2×#41—1222no—
452C2×#41—1222no—
453C22×Q8—611no—
454C22×Q8C22×D6111yescharacteristic
455C22×D4—24no—
456C22×D4—21no—
457C22×D4—21no—
458C22×D4—22no—
459C22×D4—21no—
460C22×D4—21no—
461C22×D4—22no—
462C22×D4—21no—
463C22×D4—22no—
464C22×D4—611no—
465C22×D4—1221no—
466C22×D4C22⋊D6112yes—
467C22×D4C22⋊D6114yescomplemented
468C22×D4C22×D6111yescharacteristic
469C22×D4C22×D6112yes—
470C23×C4—1221no—
471C23×C4C22⋊D6112yes—
472C23×C4C22×D6111yescharacteristic
473AGL(1,ℤ/8)—1228no—
474AGL(1,ℤ/8)—12216no—
475AGL(1,ℤ/8)—1228no—
476C2×SD16—1224no—
477C2×SD16—1228no—
478C2×D8—1224no—
479C2×D8—1228no—
480C2×M16—614no—
481C2×M16—612no—
482C2×M16—612no—
483C2×M16—1221no—
484C2×M16—1222no—
485C2×M16—1221no—
486C2×M16—1222no—
487C2×M16—1222no—
488C22×C8—1221no—
489C22×C8—1221no—
490C4⋊Q8—1222no—
491#127—24no—
492#127—24no—
493#127—1222no—
494#124—24no—
495#124—24no—
496#124—1222no—
497#124—1222no—
498#123—1224no—
499#123—1224no—
500C22⋊Q8—1224no—
501C22⋊Q8—1224no—
502#121—216no—
503#121—1224no—
504#121—1224no—
505#121—1228no—
506#120—216no—
507#120—1224no—
508#120—1224no—
509C4×D4—1228no—
510#117—22no—
511#117—612no—
512#117—612no—
513#117—1221no—
514#117—1221no—
515#117C22⋊D6114yescomplemented
516C2×C4⋊C4—21no—
517C2×C4⋊C4—612no—
518C2×C22⋊C4—21no—
519C2×C22⋊C4—24no—
520C2×C22⋊C4—1221no—
521C2×C42—1221no—
522C2×C42C22×D6112yes—
523#104—1228no—
524#102—1228no—
525#101—1224no—
526#100—1224no—
527C24—22no—
528C24—24no—
529C24—41no—
530C24—41no—
531C24—42no—
532C24—84no—
533C24—1221no—
534C24C2×C22⋊D6112yes—
535C24C2×C22⋊D6111yescharacteristic
536#41—42no—
537#41—42no—
538#41—42no—
539#41—42no—
540#41—42no—
541#41—42no—
542#41—42no—
543#41—42no—
544#41—1222no—
545#41—1222no—
546#41—1222no—
547#41—1222no—
548#41—1224no—
549#41—1224no—
550#41—2442no—
551#41—2442no—
552#41—2442no—
553#41—2442no—
554C2×Q8—21no—
555C2×Q8—21no—
556C2×Q8—21no—
557C2×Q8—21no—
558C2×Q8—21no—
559C2×Q8—21no—
560C2×Q8—612no—
561C2×Q8—1221no—
562C2×Q8—1222no—
563C2×Q8—1222no—
564C2×D4—22no—
565C2×D4—22no—
566C2×D4—24no—
567C2×D4—24no—
568C2×D4—216no—
569C2×D4—22no—
570C2×D4—22no—
571C2×D4—22no—
572C2×D4—21no—
573C2×D4—21no—
574C2×D4—21no—
575C2×D4—22no—
576C2×D4—21no—
577C2×D4—21no—
578C2×D4—22no—
579C2×D4—21no—
580C2×D4—24no—
581C2×D4—24no—
582C2×D4—24no—
583C2×D4—24no—
584C2×D4—24no—
585C2×D4—41no—
586C2×D4—41no—
587C2×D4—42no—
588C2×D4—42no—
589C2×D4—42no—
590C2×D4—42no—
591C2×D4—42no—
592C2×D4—88no—
593C2×D4—612no—
594C2×D4—1228no—
595C2×D4—1222no—
596C2×D4—1222no—
597C2×D4—1222no—
598C2×D4—1221no—
599C2×D4—1222no—
600C2×D4—2442no—
601C2×D4—2442no—
602C2×D4C2×C22⋊D6114yes—
603C22×C4—22no—
604C22×C4—22no—
605C22×C4—22no—
606C22×C4—24no—
607C22×C4—24no—
608C22×C4—1222no—
609C22×C4—1221no—
610C22×C4—1222no—
611C22×C4—1222no—
612C22×C4—2442no—
613C22×C4—2442no—
614C22×C4D4×D6111yescharacteristic
615C22×C4D4×D6111yescharacteristic
616C22×C4D4×D6112yes—
617C22×C4D4×D6111yescharacteristic
618C22×C4D4×D6111yescharacteristic
619C22×C4#1175822412yes—
620C22×C4C2×C22⋊D6112yes—
621C22×C4C2×C22⋊D6112yes—
622C22×C4C2×C22⋊D6112yes—
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—24no—
638C4⋊C4—614no—
639C4⋊C4—1228no—
640C4⋊C4—1222no—
641C22⋊C4—216no—
642C22⋊C4—24no—
643C22⋊C4—1228no—
644C22⋊C4—1228no—
645C22⋊C4—1222no—
646C22⋊C4—1222no—
647C42—22no—
648C42—1222no—
649C42—1222no—
650C42C2×C22⋊D6114yes—
651C23—22no—
652C23—24no—
653C23—22no—
654C23—22no—
655C23—42no—
656C23—44no—
657C23—48no—
658C23—42no—
659C23—42no—
660C23—44no—
661C23—44no—
662C23—84no—
663C23—84no—
664C23—88no—
665C23—88no—
666C23—1222no—
667C23—4882no—
668C23—2442no—
669C23#1451974511yescharacteristic
670C23#1451974511yescharacteristic
671C23#1451974612yes—
672C23#1451974912yes—
673C23C22×C22⋊D6111yescharacteristic
674Q8—41no—
675Q8—41no—
676Q8—41no—
677Q8—41no—
678Q8—1222no—
679Q8—1222no—
680Q8—2442no—
681D4—24no—
682D4—24no—
683D4—44no—
684D4—44no—
685D4—41no—
686D4—42no—
687D4—41no—
688D4—41no—
689D4—42no—
690D4—41no—
691D4—44no—
692D4—44no—
693D4—816no—
694D4—1222no—
695D4—1222no—
696D4—4888no—
697D4—2442no—
698D4—2442no—
699D4—2444no—
700D4—2442no—
701C2×C4—22no—
702C2×C4—24no—
703C2×C4—22no—
704C2×C4—22no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—1224no—
709C2×C4—1222no—
710C2×C4—4882no—
711C2×C4—2442no—
712C2×C4—2442no—
713C2×C4—2442no—
714C2×C4—2444no—
715C2×C4#1451974512yes—
716C2×C4#1451974512yes—
717C2×C4#1451974511yescharacteristic
718C2×C4#1451974511yescharacteristic
719C2×C4#1451974612yes—
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—48no—
742C22—42no—
743C22—44no—
744C22—44no—
745C22—82no—
746C22—84no—
747C22—88no—
748C22—88no—
749C22—84no—
750C22—4884no—
751C22—2442no—
752C22—2444no—
753C22#1683967012yes—
754C22#1683967012yes—
755C22C2×#1451974511yescharacteristic
756C22C2×#1451974611yescharacteristic
757C22C2×#1451974911yescharacteristic
758C4—44no—
759C4—42no—
760C4—2442no—
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—84no—
774C2—4882no—
775C2C2×#1683967011yescharacteristic
776C2#2145519012yes—
subgroupG/H
centerC22C2×#14519745
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC2×C61×#535C2
socleC22×C61C2×#120
hypercenterC2×#535D61
hypocenterC61#23400
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#535

Complements

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

NH ≅ G/Ntype
1. C22×#14519803C2semidirect
2. #21459148C2semidirect
3. C2×#16839780C2semidirect
4. C2×#16839767C2semidirect
5. C2×#16839746C2semidirect
6. #21446841C2semidirect
7. #21446834C2semidirect
8. #21445529C2semidirect
9. C2×C61×#535C2semidirect
20. #16840336C22semidirect
22. #16840329C22semidirect
30. C2×#14519705C22semidirect
32. #16839767C22semidirect
35. C2×#14519696C22semidirect
36. C2×#14519694C22semidirect
37. #16839522C22semidirect
42. C2×#127×C61C22semidirect
43. C2×#124×C61C22semidirect
53. C2×#11758222D4semidirect
55. C22×Dic122D4semidirect
56. C22×D244D4semidirect
71. C2×#11758194D4semidirect
92. #14519736D4semidirect
94. C2×C4⋊Dic61D4semidirect
121. C22×D4×C61D4semidirect
133. #117×C61D4semidirect
382. C2×#535D61semidirect
418. C2×#127C2×D61semidirect
419. C2×#124C2×D61semidirect
435. C61#23400semidirect
467. C22×D4C22⋊D61semidirect
515. #117C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
C22×#145198032
#214591482
C2×#168397802
C2×#168397672
C2×#168397462
#214468412
#214468342
#214455292
C2×C61×#5352
#2340061