Finite Group Databasebeta

← #29706938

Subgroups — #29706938

Order 15616.

1954 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459148C211yesmaximal, characteristic
2C2×#16840336C211yesmaximal, characteristic, complemented
3C2×#16839779C211yesmaximal, characteristic, complemented
4C2×#16839771C211yesmaximal, characteristic, complemented
5C2×#16839744C211yesmaximal, characteristic, complemented
6#21446852C214yesmaximal, complemented
7#21446845C214yesmaximal, complemented
8#21445530C211yesmaximal, characteristic, complemented
9C22×#137×C61C211yesmaximal, characteristic, complemented
10C22×#11758222C2211yescharacteristic
11C22×#11758194C2211yescharacteristic
12#16840340—22no—
13#16840336—24no—
14#16840336—21no—
15#16840336—24no—
16#16840333C2212yes—
17#16840329—21no—
18#16840326C2212yes—
19#16840321—22no—
20#16840308—22no—
21C2×#14519775C2212yescomplemented
22C2×#14519766C2212yescomplemented
23#16840273—22no—
24#16840269—22no—
25C2×#14519760—22no—
26C2×#14519753—22no—
27C2×#14519736C2211yescharacteristic
28C2×#14519736C2211yescharacteristic
29#16839779—24no—
30C2×#14519704C2214yes—
31#16839771—22no—
32#16839771C2214yescomplemented
33C2×#14519701—22no—
34#16839744—24no—
35C2×#14519695C2212yescomplemented
36C2×#14519693C2212yescomplemented
37#16839523C2214yescomplemented
38C22×#41×C61C2211yescharacteristic
39C23×Q8×C61C2211yescharacteristic
40C2×#137×C61—22no—
41C2×#137×C61—24no—
42C2×#137×C61—24no—
43C2×#137×C61C2214yes—
44C22×Q16×C61—21no—
45C22×SD16×C61—21no—
46C22×M16×C61C2211yescharacteristic
47C2×#11758222—22no—
48C2×#11758222—21no—
49C2×#11758222—21no—
50C2×#11758222—21no—
51C2×#11758222—22no—
52C2×#11758222—22no—
53C2×#11758222—21no—
54C2×#11758222—22no—
55C22×Dic122C2311yescharacteristic
56C22×D244C2311yescharacteristic
57C22×C22⋊D61D412yes—
58C22×C4×D61D412yes—
59C2×#11758194—21no—
60C2×#11758194—22no—
61C2×#11758194—22no—
62C2×#11758194C2312yes—
63C22×#92418—21no—
64#14519775—24no—
65#14519775—22no—
66#14519775—24no—
67#14519773—22no—
68#14519766—24no—
69#14519766—22no—
70#14519766—24no—
71#14519764—22no—
72#14519760—216no—
73#14519760—24no—
74#14519758—24no—
75#14519756—24no—
76#14519753—216no—
77#14519753—24no—
78#14519751—24no—
79#14519749—28no—
80#14519748—24no—
81#14519746—24no—
82#14519745—24no—
83C4×C22⋊D61—28no—
84#14519736—21no—
85#14519736—21no—
86#14519736—22no—
87#14519736D412yes—
88#14519736D414yescomplemented
89#14519736C2312yes—
90C2×C4⋊Dic61—21no—
91C2×C4⋊Dic61D412yes—
92C2×#11758196—24no—
93C2×C22⋊Dic61—21no—
94C2×C22⋊Dic61—21no—
95C2×#11758198—24no—
96C2×C4×Dic61—21no—
97C2×C4×Dic61C2312yes—
98#14519704—28no—
99#14519701—28no—
100#14519695—24no—
101#14519693—24no—
102C2×#41×C61—21no—
103C2×#41×C61—21no—
104C2×#41×C61—22no—
105C2×#41×C61—22no—
106C2×#41×C61—22no—
107C2×#41×C61—22no—
108C2×#41×C61D412yes—
109C2×#41×C61C2312yes—
110C22×Q8×C61—21no—
111C22×Q8×C61—22no—
112C22×Q8×C61—21no—
113C22×Q8×C61—21no—
114C22×Q8×C61—22no—
115C22×Q8×C61—21no—
116C22×Q8×C61—21no—
117C22×Q8×C61—22no—
118C22×Q8×C61D411yescharacteristic
119C22×Q8×C61D414yescomplemented
120C22×Q8×C61C2312yes—
121C22×D4×C61—21no—
122C22×D4×C61D411yescharacteristic
123C23×C4×C61—21no—
124C23×C4×C61—21no—
125C23×C4×C61C2311yescharacteristic
126#137×C61—216no—
127#137×C61—28no—
128#137×C61—28no—
129C2×Q16×C61—28no—
130C2×Q16×C61—24no—
131C2×SD16×C61—28no—
132C2×SD16×C61—24no—
133C2×M16×C61—22no—
134C2×M16×C61—21no—
135C2×M16×C61D414yescomplemented
136C2×M16×C61C2312yes—
137C22×C8×C61—21no—
138C24×C61—21no—
139C24×C61C2×D411yescharacteristic
140C23×D61C2×D412yes—
141#41×C61—24no—
142#41×C61—24no—
143#41×C61—22no—
144#41×C61—22no—
145#41×C61—22no—
146#41×C61—22no—
147#41×C61—42no—
148#41×C61—42no—
149#41×C61—42no—
150#41×C61—42no—
151C2×Q8×C61—24no—
152C2×Q8×C61—21no—
153C2×Q8×C61—22no—
154C2×Q8×C61—24no—
155C2×Q8×C61—22no—
156C2×Q8×C61—24no—
157C2×Q8×C61—24no—
158C2×Q8×C61—24no—
159C2×Q8×C61—22no—
160C2×Q8×C61—22no—
161C2×Q8×C61—22no—
162C2×Q8×C61—22no—
163C2×Q8×C61—22no—
164C2×Q8×C61—41no—
165C2×Q8×C61—41no—
166C2×Q8×C61—42no—
167C2×Q8×C61—42no—
168C2×Q8×C61—42no—
169C2×Q8×C61—42no—
170C2×Q8×C61—42no—
171C2×Q8×C61C2×D412yes—
172C2×Q8×C61C2×D414yes—
173C2×D4×C61—22no—
174C2×D4×C61—22no—
175C2×D4×C61—22no—
176C2×D4×C61—21no—
177C2×D4×C61—22no—
178C2×D4×C61—42no—
179C2×D4×C61—42no—
180C2×D4×C61C2×D412yes—
181C22×C4×C61—21no—
182C22×C4×C61—24no—
183C22×C4×C61—22no—
184C22×C4×C61—22no—
185C22×C4×C61—22no—
186C22×C4×C61—41no—
187C22×C4×C61—41no—
188C22×C4×C61—42no—
189C22×C4×C61—42no—
190C22×C4×C61—42no—
191C22×C4×C61C2×D411yescharacteristic
192C22×C4×C61C2×D411yescharacteristic
193C22×C4×C61C2×D411yescharacteristic
194C22×C4×C61C2×D412yes—
195C22×C4×C61C2×D412yes—
196C22×C4×C61C2×D411yescharacteristic
197C22×C4×C61C2×D411yescharacteristic
198C22×C4×C61C2×D412yes—
199C22×C4×C61#4112yes—
200C22×C4×C61C2411yescharacteristic
201C2×C22⋊D61—22no—
202C2×C22⋊D61—22no—
203C2×C22⋊D61—24no—
204C2×C22⋊D61—24no—
205C2×C22⋊D61—28no—
206C22×Dic61—22no—
207C22×Dic61—22no—
208C22×Dic61C2×D412yes—
209#11758222—42no—
210#11758222—42no—
211#11758222—42no—
212#11758222—42no—
213#11758222—42no—
214#11758222—42no—
215#11758222—42no—
216#11758222—42no—
217C2×D244—21no—
218C2×D244—21no—
219C2×D244—21no—
220C2×D244—21no—
221C2×D244—21no—
222C2×D244—21no—
223C2×C4×D61—22no—
224C2×C4×D61—22no—
225C2×C4×D61—24no—
226C2×C4×D61—24no—
227C2×Dic122—21no—
228C2×Dic122—21no—
229C2×Dic122—21no—
230C2×Dic122—21no—
231C2×Dic122—21no—
232C2×Dic122—21no—
233Q16×C61—216no—
234SD16×C61—216no—
235M16×C61—24no—
236M16×C61—22no—
237M16×C61C2×D414yes—
238C2×C8×C61—24no—
239C2×C8×C61—22no—
240C22⋊Dic61—28no—
241C22⋊Dic61—22no—
242C22⋊Dic61—24no—
243C22⋊Dic61—22no—
244#11758198—216no—
245#11758198—28no—
246C4⋊Dic61—24no—
247C4⋊Dic61—22no—
248C4⋊Dic61C2×D414yes—
249#11758196—216no—
250#11758196—28no—
251C4×Dic61—22no—
252C4×Dic61—22no—
253C4×Dic61—22no—
254C4×Dic61C2×D414yes—
255#11758194—22no—
256#11758194—22no—
257#11758194—42no—
258C2×#92418—22no—
259C2×#92418—42no—
260C23×C61—22no—
261C23×C61—42no—
262C23×C61—42no—
263C23×C61—82no—
264C23×C61#12011yescharacteristic
265C23×C61#12011yescharacteristic
266C23×C61#12012yes—
267C23×C61#12112yes—
268C23×C61C22×D411yescharacteristic
269C22×D61—22no—
270C22×D61—22no—
271C22×D61—22no—
272C22×D61—44no—
273Q8×C61—24no—
274Q8×C61—22no—
275Q8×C61—24no—
276Q8×C61—22no—
277Q8×C61—42no—
278Q8×C61—42no—
279Q8×C61—44no—
280Q8×C61—44no—
281Q8×C61—42no—
282D4×C61—22no—
283D4×C61—22no—
284D4×C61—42no—
285D4×C61—42no—
286D4×C61—44no—
287D4×C61—42no—
288C2×C4×C61—22no—
289C2×C4×C61—24no—
290C2×C4×C61—42no—
291C2×C4×C61—42no—
292C2×C4×C61—42no—
293C2×C4×C61—44no—
294C2×C4×C61—44no—
295C2×C4×C61—42no—
296C2×C4×C61—42no—
297C2×C4×C61—44no—
298C2×C4×C61#12012yes—
299C2×C4×C61#12012yes—
300C2×C4×C61#12011yescharacteristic
301C2×C4×C61#12011yescharacteristic
302C2×C4×C61#12012yes—
303C2×C4×C61#12112yes—
304C2×C4×C61#12112yes—
305C2×C4×C61#12112yes—
306C2×C4×C61#12112yes—
307C2×C4×C61#12112yes—
308C2×C4×C61#12712yes—
309C2×C4×C61#12712yes—
310C2×C4×C61C22×D411yescharacteristic
311C2×C4×C61C22×D411yescharacteristic
312C2×C4×C61C22×D411yescharacteristic
313C2×C4×C61C22×D411yescharacteristic
314C2×C4×C61C22×D411yescharacteristic
315C2×C4×C61C2×#4111yescharacteristic
316C22⋊D61—44no—
317C22⋊D61—44no—
318C22⋊D61—88no—
319C2×Dic61—24no—
320C2×Dic61—24no—
321C2×Dic61—22no—
322C2×Dic61—22no—
323C2×Dic61—22no—
324C2×Dic61—44no—
325C2×Dic61—82no—
326D244—41no—
327D244—41no—
328D244—41no—
329D244—41no—
330C4×D61—44no—
331C4×D61—44no—
332Dic122—41no—
333Dic122—41no—
334Dic122—41no—
335Dic122—41no—
336C8×C61—24no—
337#92418—42no—
338#23401—611nomaximal, Sylow
339C22×C61—22no—
340C22×C61—22no—
341C22×C61—22no—
342C22×C61—42no—
343C22×C61—42no—
344C22×C61—42no—
345C22×C61—44no—
346C22×C61—84no—
347C22×C61#39212yes—
348C22×C61#39212yes—
349C22×C61C2×#12011yescharacteristic
350C22×C61C2×#12011yescharacteristic
351C22×C61C2×#12111yescharacteristic
352C2×D61—44no—
353C2×D61—42no—
354C2×D61—44no—
355C2×D61—82no—
356C4×C61—42no—
357C4×C61—44no—
358C4×C61#39212yes—
359C4×C61#39212yes—
360C4×C61C2×#12011yescharacteristic
361C4×C61C2×#12111yescharacteristic
362C4×C61C2×#12111yescharacteristic
363C4×C61C2×#12711yescharacteristic
364Dic61—44no—
365Dic61—42no—
366Dic61—44no—
367C22×#137D6111yescharacteristic, complemented
368#3449—611no—
369C2×#536—611no—
370C2×#421—611no—
371C2×#419—611no—
372C2×#413—611no—
373#2005—614no—
374#2004—614no—
375#1733—611no—
376C2×C61—21no—
377C2×C61—21no—
378C2×C61—22no—
379C2×C61—22no—
380C2×C61—82no—
381C2×C61C2×#39211yescharacteristic
382C2×C61#302212yes—
383D61—82no—
384C22×#41—611no—
385C22×#41C2×D6111yescharacteristic
386C23×Q8C2×D6111yescharacteristic
387C2×#137—22no—
388C2×#137—24no—
389C2×#137—24no—
390C2×#137C2×D6114yes—
391C22×Q16—21no—
392C22×SD16—21no—
393C22×M16—611no—
394C22×M16C2×D6111yescharacteristic
395#537—1222no—
396#536—612no—
397#536—1224no—
398#536—1221no—
399#536—1224no—
400#535—612no—
401#535—1221no—
402#534—1222no—
403#532—1222no—
404C2×C4⋊Q8—612no—
405C2×#124—612no—
406#525—1222no—
407#525—1222no—
408C2×#123—1222no—
409C2×C22⋊Q8—1222no—
410C2×#117—611no—
411C2×#117—611no—
412#421—1224no—
413C2×#104—614no—
414#419—614no—
415#419—1222no—
416C2×#103—1222no—
417#413—1224no—
418C2×#101—612no—
419C2×#100—612no—
420#339—614no—
421C61#2340111yescharacteristic, complemented, Sylow
422C2×#41—21no—
423C2×#41—21no—
424C2×#41—22no—
425C2×#41—22no—
426C2×#41—22no—
427C2×#41—22no—
428C2×#41—1221no—
429C2×#41—1222no—
430C2×#41—1221no—
431C2×#41—1222no—
432C2×#41—1221no—
433C2×#41—1221no—
434C2×#41—1222no—
435C2×#41—1222no—
436C2×#41C22⋊D6112yes—
437C2×#41C22×D6112yes—
438C22×Q8—21no—
439C22×Q8—22no—
440C22×Q8—21no—
441C22×Q8—21no—
442C22×Q8—22no—
443C22×Q8—21no—
444C22×Q8—21no—
445C22×Q8—22no—
446C22×Q8—611no—
447C22×Q8C22⋊D6111yescharacteristic
448C22×Q8C22⋊D6114yescomplemented
449C22×Q8C22×D6112yes—
450C22×D4—21no—
451C22×D4—612no—
452C22×D4—611no—
453C22×D4C22⋊D6111yescharacteristic
454C23×C4—21no—
455C23×C4—21no—
456C23×C4—612no—
457C23×C4C22×D6111yescharacteristic
458#137—216no—
459#137—28no—
460#137—28no—
461C2×Q16—28no—
462C2×Q16—24no—
463C2×SD16—28no—
464C2×SD16—24no—
465C2×M16—21no—
466C2×M16—22no—
467C2×M16—612no—
468C2×M16—1221no—
469C2×M16—1222no—
470C2×M16—1222no—
471C2×M16C22⋊D6114yescomplemented
472C2×M16C22×D6112yes—
473C22×C8—21no—
474C22×C8—1221no—
475C4⋊Q8—1224no—
476C4⋊Q8—1224no—
477C4⋊Q8—1222no—
478#127—1222no—
479#124—1224no—
480#124—1224no—
481#124—1222no—
482#124—1222no—
483#123—12216no—
484#123—1224no—
485#123—1224no—
486C22⋊Q8—1224no—
487C22⋊Q8—12216no—
488C22⋊Q8—1224no—
489#121—1224no—
490#121—1224no—
491#121—1228no—
492#120—1224no—
493#120—1224no—
494C4×D4—1228no—
495#117—614no—
496#117—612no—
497#117—612no—
498#117—1221no—
499#117—1221no—
500#117—1222no—
501C2×C4⋊C4—612no—
502C2×C4⋊C4—1224no—
503C2×C4⋊C4—1221no—
504C2×C22⋊C4—1224no—
505C2×C22⋊C4—1221no—
506C2×C22⋊C4—1221no—
507C2×C42—612no—
508C2×C42—1221no—
509#104—1228no—
510#103—1228no—
511#101—1224no—
512#100—1224no—
513C24—21no—
514C24—612no—
515C24D4×D6111yescharacteristic
516#41—22no—
517#41—22no—
518#41—22no—
519#41—22no—
520#41—24no—
521#41—24no—
522#41—42no—
523#41—42no—
524#41—42no—
525#41—42no—
526#41—2442no—
527#41—2442no—
528#41—2442no—
529#41—2442no—
530#41—2442no—
531#41—2442no—
532#41—2442no—
533#41—2442no—
534C2×Q8—22no—
535C2×Q8—24no—
536C2×Q8—21no—
537C2×Q8—22no—
538C2×Q8—22no—
539C2×Q8—22no—
540C2×Q8—22no—
541C2×Q8—24no—
542C2×Q8—22no—
543C2×Q8—24no—
544C2×Q8—24no—
545C2×Q8—24no—
546C2×Q8—22no—
547C2×Q8—41no—
548C2×Q8—41no—
549C2×Q8—42no—
550C2×Q8—42no—
551C2×Q8—42no—
552C2×Q8—42no—
553C2×Q8—42no—
554C2×Q8—1221no—
555C2×Q8—1221no—
556C2×Q8—1221no—
557C2×Q8—1221no—
558C2×Q8—1221no—
559C2×Q8—1221no—
560C2×Q8C2×C22⋊D6112yes—
561C2×Q8C2×C22⋊D6114yes—
562C2×D4—22no—
563C2×D4—22no—
564C2×D4—21no—
565C2×D4—22no—
566C2×D4—22no—
567C2×D4—42no—
568C2×D4—42no—
569C2×D4—1228no—
570C2×D4—1222no—
571C2×D4—1222no—
572C2×D4—1224no—
573C2×D4—1224no—
574C2×D4—1221no—
575C2×D4—1221no—
576C2×D4—1221no—
577C2×D4—1221no—
578C2×D4—1221no—
579C2×D4—1221no—
580C2×D4C2×C22⋊D6112yes—
581C22×C4—22no—
582C22×C4—21no—
583C22×C4—24no—
584C22×C4—22no—
585C22×C4—22no—
586C22×C4—41no—
587C22×C4—41no—
588C22×C4—42no—
589C22×C4—42no—
590C22×C4—42no—
591C22×C4—612no—
592C22×C4—1222no—
593C22×C4—1222no—
594C22×C4—1222no—
595C22×C4—1222no—
596C22×C4—1224no—
597C22×C4—1224no—
598C22×C4D4×D6111yescharacteristic
599C22×C4D4×D6111yescharacteristic
600C22×C4D4×D6112yes—
601C22×C4D4×D6111yescharacteristic
602C22×C4#1175822412yes—
603C22×C4C2×C22⋊D6111yescharacteristic
604C22×C4C2×C22⋊D6111yescharacteristic
605C22×C4C2×C22⋊D6112yes—
606C22×C4C2×C22⋊D6112yes—
607C22×C4C23×D6111yescharacteristic
608Q16—216no—
609SD16—216no—
610M16—22no—
611M16—24no—
612M16—1222no—
613M16—1222no—
614M16—2442no—
615M16C2×C22⋊D6114yes—
616C2×C8—22no—
617C2×C8—24no—
618C2×C8—1222no—
619C2×C8—2442no—
620C4⋊C4—614no—
621C4⋊C4—12216no—
622C4⋊C4—1228no—
623C4⋊C4—1222no—
624C4⋊C4—1224no—
625C22⋊C4—12216no—
626C22⋊C4—1228no—
627C22⋊C4—1228no—
628C22⋊C4—1222no—
629C22⋊C4—1222no—
630C22⋊C4—1224no—
631C42—614no—
632C42—1222no—
633C42—1222no—
634C42—1222no—
635C23—22no—
636C23—42no—
637C23—42no—
638C23—82no—
639C23—1222no—
640C23—1222no—
641C23—1222no—
642C23—2444no—
643C23#1451974511yescharacteristic
644C23#1451974511yescharacteristic
645C23#1451974512yes—
646C23#1451974812yes—
647C23C2×D4×D6111yescharacteristic
648Q8—24no—
649Q8—22no—
650Q8—24no—
651Q8—22no—
652Q8—42no—
653Q8—42no—
654Q8—44no—
655Q8—44no—
656Q8—42no—
657Q8—2441no—
658Q8—2441no—
659Q8—2441no—
660Q8—2441no—
661D4—22no—
662D4—22no—
663D4—42no—
664D4—42no—
665D4—44no—
666D4—42no—
667D4—4888no—
668D4—2444no—
669D4—2444no—
670D4—2441no—
671D4—2441no—
672D4—2441no—
673D4—2441no—
674C2×C4—24no—
675C2×C4—22no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—44no—
684C2×C4—1224no—
685C2×C4—1222no—
686C2×C4—1224no—
687C2×C4—1222no—
688C2×C4—1222no—
689C2×C4—4882no—
690C2×C4—2444no—
691C2×C4—2444no—
692C2×C4—2444no—
693C2×C4#1451974512yes—
694C2×C4#1451974511yescharacteristic
695C2×C4#1451974511yescharacteristic
696C2×C4#1451974612yes—
697C2×C4#1451974612yes—
698C2×C4#1451974812yes—
699C2×C4#1451974912yes—
700C2×C4#1451974912yes—
701C2×C4#1451974912yes—
702C2×C4#1451974912yes—
703C2×C4#1451977312yes—
704C2×C4#1451977312yes—
705C2×C4C2×D4×D6111yescharacteristic
706C2×C4C2×D4×D6111yescharacteristic
707C2×C4C22×C22⋊D6111yescharacteristic
708C2×C4C22×C22⋊D6111yescharacteristic
709C2×C4C22×C22⋊D6111yescharacteristic
710C2×C4C2×#1175822411yescharacteristic
711C8—24no—
712C8—2442no—
713C22—22no—
714C22—22no—
715C22—22no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—44no—
720C22—84no—
721C22—4882no—
722C22—2444no—
723C22—2442no—
724C22—2444no—
725C22#1683967012yes—
726C22#1683967012yes—
727C22C2×#1451974511yescharacteristic
728C22C2×#1451974511yescharacteristic
729C22C2×#1451974811yescharacteristic
730C4—42no—
731C4—44no—
732C4—2444no—
733C4—2442no—
734C4—2444no—
735C4#1683967012yes—
736C4#1683967012yes—
737C4C2×#1451974611yescharacteristic
738C4C2×#1451974911yescharacteristic
739C4C2×#1451974911yescharacteristic
740C4C2×#1451977311yescharacteristic
741C2—21no—
742C2—22no—
743C2—21no—
744C2—22no—
745C2—82no—
746C2—4882no—
747C2C2×#1683967011yescharacteristic
748C2#2145519512yes—
subgroupG/H
centerC22C2×#14519745
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC22×#137×C61C2
socleC22×C61C2×#120
prime radical#21459148C2
hypercenterC22×#137D61
hypocenterC61#23401
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ C22×#137

Complements

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

NH ≅ G/Ntype
2. C2×#16840336C2semidirect
3. C2×#16839779C2semidirect
4. C2×#16839771C2semidirect
5. C2×#16839744C2semidirect
6. #21446852C2semidirect
7. #21446845C2semidirect
8. #21445530C2semidirect
9. C22×#137×C61C2semidirect
21. C2×#14519775C22semidirect
22. C2×#14519766C22semidirect
32. #16839771C22semidirect
35. C2×#14519695C22semidirect
36. C2×#14519693C22semidirect
37. #16839523C22semidirect
88. #14519736D4semidirect
119. C22×Q8×C61D4semidirect
135. C2×M16×C61D4semidirect
367. C22×#137D61semidirect
421. C61#23401semidirect
448. C22×Q8C22⋊D61semidirect
471. C2×M16C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
#214591482
C2×#168403362
C2×#168397792
C2×#168397712
C2×#168397442
#214468522
#214468452
#214455302
C22×#137×C612
#2340161