Finite Group Databasebeta

← #29706956

Subgroups — #29706956

Order 15616.

1942 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840333C211yesmaximal, characteristic, complemented
2C2×#16840333C211yesmaximal, characteristic, complemented
3C2×#16839779C211yesmaximal, characteristic, complemented
4#21454338C211yesmaximal, characteristic, complemented
5C22×#14519695C211yesmaximal, characteristic, complemented
6#21446852C214yesmaximal, complemented
7#21446838C214yesmaximal, complemented
8#21445530C211yesmaximal, characteristic, complemented
9C2×C61×#575C211yesmaximal, characteristic
10C23×Dic122C2211yescharacteristic
11C22×#11758194C2211yescharacteristic
12#16840333—22no—
13#16840333—24no—
14#16840333—22no—
15#16840333—24no—
16#16840333—22no—
17#16840333C2214yes—
18C2×#14519775—21no—
19C2×#14519775C2212yescomplemented
20C2×#14519764—21no—
21C2×#14519764C2212yescomplemented
22C2×#14519758—22no—
23C2×#14519758—22no—
24C2×#14519756—22no—
25C2×#14519756—22no—
26C2×#14519736C2211yescharacteristic
27C2×#14519736C2211yescharacteristic
28#16839779—24no—
29C2×#14519704C2214yes—
30#16839771C2212yescomplemented
31#16839767C2212yescomplemented
32#16839763—22no—
33#16839758—22no—
34C2×#14519695—24no—
35C2×#14519695C2214yescomplemented
36#16839523C2214yescomplemented
37C22×#41×C61C2211yescharacteristic
38C22×#41×C61C2211yescharacteristic
39C61×#575—24no—
40C61×#575—24no—
41C2×#137×C61—21no—
42C2×#137×C61C2212yes—
43C2×AGL(1,ℤ/8)×C61—21no—
44C2×AGL(1,ℤ/8)×C61C2212yes—
45C2×#135×C61—22no—
46C22×M16×C61C2211yescharacteristic
47C22×Dic122—22no—
48C22×Dic122—21no—
49C22×Dic122—21no—
50C22×Dic122—21no—
51C22×Dic122—22no—
52C22×Dic122—22no—
53C22×Dic122—21no—
54C22×Dic122—22no—
55C22×Dic122D412yes—
56C22×Dic122C2312yes—
57C23×Dic61D412yes—
58C2×#11758194—21no—
59C2×#11758194—22no—
60C2×#11758194—22no—
61C2×#11758194C2312yes—
62C22×#92418—21no—
63#14519775—24no—
64#14519775—24no—
65#14519775—24no—
66#14519775—24no—
67#14519764—24no—
68#14519764—24no—
69#14519764—24no—
70#14519764—24no—
71#14519758—28no—
72#14519758—216no—
73#14519758—28no—
74#14519756—216no—
75#14519756—28no—
76#14519756—28no—
77#14519736—21no—
78#14519736—21no—
79#14519736—22no—
80#14519736D412yes—
81#14519736D414yes—
82#14519736C2312yes—
83C2×C4⋊Dic61—21no—
84C2×C4⋊Dic61D412yes—
85C2×#11758196—24no—
86C2×#11758196—24no—
87C2×C22⋊Dic61—24no—
88C2×C22⋊Dic61—21no—
89C2×C22⋊Dic61—21no—
90C2×C22⋊Dic61—24no—
91C2×C4×Dic61—21no—
92C2×C4×Dic61C2312yes—
93#14519704—28no—
94#14519701—24no—
95#14519698—24no—
96#14519695—28no—
97C2×#41×C61—21no—
98C2×#41×C61—22no—
99C2×#41×C61—21no—
100C2×#41×C61—21no—
101C2×#41×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—22no—
108C2×#41×C61—22no—
109C2×#41×C61—22no—
110C2×#41×C61D412yes—
111C2×#41×C61D414yes—
112C2×#41×C61C2312yes—
113C22×Q8×C61D411yescharacteristic
114C22×Q8×C61C2311yescharacteristic
115C22×D4×C61—21no—
116C22×D4×C61—21no—
117C22×D4×C61D411yescharacteristic
118C22×D4×C61C2311yescharacteristic
119C23×C4×C61—21no—
120C23×C4×C61—21no—
121C23×C4×C61C2311yescharacteristic
122#137×C61—28no—
123#137×C61—24no—
124#137×C61—24no—
125AGL(1,ℤ/8)×C61—28no—
126AGL(1,ℤ/8)×C61—24no—
127AGL(1,ℤ/8)×C61—24no—
128#135×C61—216no—
129C2×Q16×C61—22no—
130C2×SD16×C61—22no—
131C2×SD16×C61—22no—
132C2×D8×C61—22no—
133C2×M16×C61—21no—
134C2×M16×C61—22no—
135C2×M16×C61D414yes—
136C2×M16×C61C2312yes—
137C22×C8×C61—21no—
138C24×C61—21no—
139C24×C61—21no—
140C24×C61C2×D411yescharacteristic
141#41×C61—24no—
142#41×C61—24no—
143#41×C61—24no—
144#41×C61—24no—
145#41×C61—24no—
146#41×C61—24no—
147#41×C61—22no—
148#41×C61—22no—
149#41×C61—22no—
150#41×C61—22no—
151#41×C61—42no—
152#41×C61—42no—
153#41×C61—42no—
154#41×C61—42no—
155#41×C61—42no—
156#41×C61—42no—
157#41×C61—42no—
158#41×C61—42no—
159C2×Q8×C61—21no—
160C2×Q8×C61—21no—
161C2×Q8×C61—22no—
162C2×Q8×C61—22no—
163C2×Q8×C61—21no—
164C2×Q8×C61—21no—
165C2×Q8×C61—21no—
166C2×Q8×C61—21no—
167C2×Q8×C61C2×D412yes—
168C2×Q8×C61C2×D412yes—
169C2×D4×C61—22no—
170C2×D4×C61—24no—
171C2×D4×C61—22no—
172C2×D4×C61—22no—
173C2×D4×C61—21no—
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—41no—
181C2×D4×C61—41no—
182C2×D4×C61—42no—
183C2×D4×C61—42no—
184C2×D4×C61—42no—
185C2×D4×C61C2×D412yes—
186C2×D4×C61C2×D412yes—
187C22×C4×C61—21no—
188C22×C4×C61—21no—
189C22×C4×C61—22no—
190C22×C4×C61—24no—
191C22×C4×C61—22no—
192C22×C4×C61—41no—
193C22×C4×C61—41no—
194C22×C4×C61—42no—
195C22×C4×C61—42no—
196C22×C4×C61—42no—
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
207C22×Dic61—22no—
208C22×Dic61—22no—
209C22×Dic61—24no—
210C22×Dic61—22no—
211C22×Dic61—24no—
212C22×Dic61—22no—
213C22×Dic61C2×D414yes—
214C2×Dic122—22no—
215C2×Dic122—24no—
216C2×Dic122—22no—
217C2×Dic122—24no—
218C2×Dic122—22no—
219C2×Dic122—22no—
220C2×Dic122—22no—
221C2×Dic122—22no—
222C2×Dic122—22no—
223C2×Dic122—22no—
224C2×Dic122—42no—
225C2×Dic122—42no—
226C2×Dic122—42no—
227C2×Dic122—42no—
228C2×Dic122—42no—
229C2×Dic122—42no—
230C2×Dic122—42no—
231C2×Dic122—42no—
232Q16×C61—28no—
233SD16×C61—28no—
234SD16×C61—28no—
235D8×C61—28no—
236M16×C61—24no—
237M16×C61—22no—
238M16×C61C2×D414yes—
239C2×C8×C61—24no—
240C2×C8×C61—22no—
241C22⋊Dic61—216no—
242C22⋊Dic61—216no—
243C22⋊Dic61—22no—
244C22⋊Dic61—24no—
245C22⋊Dic61—22no—
246C4⋊Dic61—24no—
247C4⋊Dic61—22no—
248C4⋊Dic61C2×D414yes—
249#11758196—216no—
250#11758196—216no—
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—22no—
262C23×C61—42no—
263C23×C61—44no—
264C23×C61—44no—
265C23×C61—41no—
266C23×C61—41no—
267C23×C61—42no—
268C23×C61#12011yescharacteristic
269C23×C61#12011yescharacteristic
270C23×C61#12012yes—
271C23×C61#12112yes—
272C23×C61C22×D411yescharacteristic
273Q8×C61—22no—
274Q8×C61—22no—
275Q8×C61—22no—
276Q8×C61—22no—
277Q8×C61—41no—
278Q8×C61—41no—
279Q8×C61—42no—
280D4×C61—22no—
281D4×C61—22no—
282D4×C61—22no—
283D4×C61—22no—
284D4×C61—42no—
285D4×C61—42no—
286D4×C61—44no—
287D4×C61—44no—
288D4×C61—44no—
289D4×C61—41no—
290D4×C61—41no—
291D4×C61—42no—
292C2×C4×C61—22no—
293C2×C4×C61—22no—
294C2×C4×C61—41no—
295C2×C4×C61—41no—
296C2×C4×C61—42no—
297C2×C4×C61—42no—
298C2×C4×C61—42no—
299C2×C4×C61—44no—
300C2×C4×C61—44no—
301C2×C4×C61—44no—
302C2×C4×C61#12012yes—
303C2×C4×C61#12012yes—
304C2×C4×C61#12011yescharacteristic
305C2×C4×C61#12011yescharacteristic
306C2×C4×C61#12012yes—
307C2×C4×C61#12112yes—
308C2×C4×C61#12112yes—
309C2×C4×C61#12112yes—
310C2×C4×C61#12112yes—
311C2×C4×C61#12112yes—
312C2×C4×C61#12712yes—
313C2×C4×C61#12712yes—
314C2×C4×C61C22×D411yescharacteristic
315C2×C4×C61C22×D411yescharacteristic
316C2×C4×C61C22×D411yescharacteristic
317C2×C4×C61C22×D411yescharacteristic
318C2×C4×C61C22×D411yescharacteristic
319C2×C4×C61C2×#4111yescharacteristic
320C2×Dic61—24no—
321C2×Dic61—24no—
322C2×Dic61—24no—
323C2×Dic61—24no—
324C2×Dic61—24no—
325C2×Dic61—44no—
326C2×Dic61—44no—
327C2×Dic61—44no—
328C2×Dic61—44no—
329Dic122—42no—
330Dic122—42no—
331Dic122—42no—
332Dic122—42no—
333Dic122—44no—
334Dic122—44no—
335C8×C61—24no—
336#92418—42no—
337#23403—611nomaximal, Sylow
338C22×C61—22no—
339C22×C61—22no—
340C22×C61—22no—
341C22×C61—42no—
342C22×C61—42no—
343C22×C61—44no—
344C22×C61—42no—
345C22×C61—42no—
346C22×C61—44no—
347C22×C61—82no—
348C22×C61—84no—
349C22×C61—82no—
350C22×C61#39212yes—
351C22×C61#39212yes—
352C22×C61C2×#12011yescharacteristic
353C22×C61C2×#12011yescharacteristic
354C22×C61C2×#12111yescharacteristic
355C4×C61—42no—
356C4×C61—42no—
357C4×C61#39212yes—
358C4×C61#39212yes—
359C4×C61C2×#12011yescharacteristic
360C4×C61C2×#12111yescharacteristic
361C4×C61C2×#12111yescharacteristic
362C4×C61C2×#12711yescharacteristic
363Dic61—44no—
364Dic61—44no—
365Dic61—44no—
366C2×#575D6111yescharacteristic
367C2×#536—611no—
368C2×#536—611no—
369C2×#421—611no—
370#2896—611no—
371C22×#101—611no—
372#2005—614no—
373#2003—614no—
374#1733—611no—
375C2×C61—21no—
376C2×C61—21no—
377C2×C61—22no—
378C2×C61—22no—
379C2×C61—82no—
380C2×C61—82no—
381C2×C61C2×#39211yescharacteristic
382C2×C61#302012yes—
383C22×#41C2×D6111yescharacteristic
384C22×#41C2×D6111yescharacteristic
385C23×Q8—611no—
386#575—24no—
387#575—24no—
388C2×#137—21no—
389C2×#137C2×D6112yes—
390C2×AGL(1,ℤ/8)—21no—
391C2×AGL(1,ℤ/8)C2×D6112yes—
392C2×#135—22no—
393C22×M16—611no—
394C22×M16C2×D6111yescharacteristic
395#536—614no—
396#536—1224no—
397#536—1222no—
398#536—1222no—
399#536—1224no—
400#536—1222no—
401C2×C4⋊Q8—612no—
402C2×C4⋊Q8—1221no—
403C2×#124—612no—
404C2×#124—1221no—
405C2×#123—1222no—
406C2×#123—1222no—
407C2×C22⋊Q8—1222no—
408C2×C22⋊Q8—1222no—
409C2×#117—611no—
410C2×#117—611no—
411#421—1224no—
412C2×#104—614no—
413#419—612no—
414#418—612no—
415#417—1222no—
416#416—1222no—
417C2×#101—614no—
418C2×#101—1224no—
419#339—614no—
420C61#2340311yescharacteristic, complemented, Sylow
421C2×#41—21no—
422C2×#41—22no—
423C2×#41—21no—
424C2×#41—21no—
425C2×#41—21no—
426C2×#41—22no—
427C2×#41—22no—
428C2×#41—22no—
429C2×#41—21no—
430C2×#41—21no—
431C2×#41—22no—
432C2×#41—22no—
433C2×#41—22no—
434C2×#41C22⋊D6112yes—
435C2×#41C22⋊D6114yes—
436C2×#41C22×D6112yes—
437C22×Q8—612no—
438C22×Q8—612no—
439C22×Q8—1221no—
440C22×Q8—1221no—
441C22×Q8—1222no—
442C22×Q8—1222no—
443C22×Q8—1221no—
444C22×Q8—1221no—
445C22×Q8—1222no—
446C22×Q8—1222no—
447C22×Q8C22⋊D6111yescharacteristic
448C22×Q8C22×D6111yescharacteristic
449C22×D4—21no—
450C22×D4—21no—
451C22×D4C22⋊D6111yescharacteristic
452C22×D4C22×D6111yescharacteristic
453C23×C4—21no—
454C23×C4—21no—
455C23×C4—612no—
456C23×C4C22×D6111yescharacteristic
457#137—28no—
458#137—24no—
459#137—24no—
460AGL(1,ℤ/8)—28no—
461AGL(1,ℤ/8)—24no—
462AGL(1,ℤ/8)—24no—
463#135—216no—
464C2×Q16—22no—
465C2×SD16—22no—
466C2×SD16—22no—
467C2×D8—22no—
468C2×M16—21no—
469C2×M16—22no—
470C2×M16—612no—
471C2×M16—1221no—
472C2×M16—1222no—
473C2×M16—1222no—
474C2×M16C22⋊D6114yes—
475C2×M16C22×D6112yes—
476C22×C8—21no—
477C22×C8—1221no—
478C4⋊Q8—1224no—
479C4⋊Q8—1224no—
480C4⋊Q8—1224no—
481C4⋊Q8—1224no—
482#124—1224no—
483#124—1224no—
484#124—1224no—
485#124—1224no—
486#123—1228no—
487#123—12216no—
488#123—1228no—
489C22⋊Q8—1228no—
490C22⋊Q8—1228no—
491C22⋊Q8—12216no—
492#117—614no—
493#117—612no—
494#117—612no—
495#117—1221no—
496#117—1222no—
497#117—1221no—
498C2×C4⋊C4—612no—
499C2×C4⋊C4—1224no—
500C2×C4⋊C4—1224no—
501C2×C4⋊C4—1221no—
502C2×C22⋊C4—1224no—
503C2×C22⋊C4—1224no—
504C2×C22⋊C4—1221no—
505C2×C22⋊C4—1221no—
506C2×C42—612no—
507C2×C42—1221no—
508#104—1228no—
509#103—1224no—
510#102—1224no—
511#101—1228no—
512C24—21no—
513C24—21no—
514C24D4×D6111yescharacteristic
515#41—22no—
516#41—22no—
517#41—22no—
518#41—22no—
519#41—24no—
520#41—24no—
521#41—24no—
522#41—24no—
523#41—24no—
524#41—24no—
525#41—42no—
526#41—42no—
527#41—42no—
528#41—42no—
529#41—42no—
530#41—42no—
531#41—42no—
532#41—42no—
533C2×Q8—21no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—22no—
540C2×Q8—22no—
541C2×Q8—1222no—
542C2×Q8—1222no—
543C2×Q8—1222no—
544C2×Q8—1222no—
545C2×Q8—1222no—
546C2×Q8—1222no—
547C2×Q8—1224no—
548C2×Q8—1222no—
549C2×Q8—1222no—
550C2×Q8—1224no—
551C2×Q8—2442no—
552C2×Q8—2442no—
553C2×Q8—2442no—
554C2×Q8—2442no—
555C2×Q8—2442no—
556C2×Q8—2442no—
557C2×Q8—2442no—
558C2×Q8—2442no—
559C2×Q8C2×C22⋊D6112yes—
560C2×Q8C2×C22⋊D6112yes—
561C2×D4—22no—
562C2×D4—24no—
563C2×D4—22no—
564C2×D4—21no—
565C2×D4—21no—
566C2×D4—21no—
567C2×D4—21no—
568C2×D4—21no—
569C2×D4—21no—
570C2×D4—22no—
571C2×D4—22no—
572C2×D4—41no—
573C2×D4—41no—
574C2×D4—42no—
575C2×D4—42no—
576C2×D4—42no—
577C2×D4C2×C22⋊D6112yes—
578C2×D4C2×C22⋊D6112yes—
579C22×C4—21no—
580C22×C4—21no—
581C22×C4—22no—
582C22×C4—24no—
583C22×C4—22no—
584C22×C4—41no—
585C22×C4—41no—
586C22×C4—42no—
587C22×C4—42no—
588C22×C4—42no—
589C22×C4—614no—
590C22×C4—1222no—
591C22×C4—1222no—
592C22×C4—1222no—
593C22×C4—1224no—
594C22×C4—1222no—
595C22×C4—1224no—
596C22×C4D4×D6111yescharacteristic
597C22×C4D4×D6111yescharacteristic
598C22×C4D4×D6112yes—
599C22×C4D4×D6111yescharacteristic
600C22×C4#1175822412yes—
601C22×C4C2×C22⋊D6111yescharacteristic
602C22×C4C2×C22⋊D6111yescharacteristic
603C22×C4C2×C22⋊D6112yes—
604C22×C4C2×C22⋊D6112yes—
605C22×C4C23×D6111yescharacteristic
606Q16—28no—
607SD16—28no—
608SD16—28no—
609D8—28no—
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—12216no—
623C4⋊C4—1222no—
624C4⋊C4—1224no—
625C22⋊C4—12216no—
626C22⋊C4—12216no—
627C22⋊C4—1222no—
628C22⋊C4—1224no—
629C22⋊C4—1222no—
630C42—614no—
631C42—1222no—
632C42—1222no—
633C42—1222no—
634C23—22no—
635C23—22no—
636C23—42no—
637C23—44no—
638C23—44no—
639C23—41no—
640C23—41no—
641C23—42no—
642C23#1451974511yescharacteristic
643C23#1451974511yescharacteristic
644C23#1451974512yes—
645C23#1451974812yes—
646C23C2×D4×D6111yescharacteristic
647Q8—22no—
648Q8—22no—
649Q8—22no—
650Q8—22no—
651Q8—41no—
652Q8—41no—
653Q8—42no—
654Q8—2442no—
655Q8—2442no—
656Q8—2442no—
657Q8—2442no—
658Q8—2444no—
659Q8—2444no—
660D4—22no—
661D4—22no—
662D4—22no—
663D4—22no—
664D4—42no—
665D4—42no—
666D4—44no—
667D4—44no—
668D4—44no—
669D4—41no—
670D4—41no—
671D4—42no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—1224no—
683C2×C4—1224no—
684C2×C4—1224no—
685C2×C4—1224no—
686C2×C4—1224no—
687C2×C4—2444no—
688C2×C4—2444no—
689C2×C4—2444no—
690C2×C4—2444no—
691C2×C4#1451974512yes—
692C2×C4#1451974511yescharacteristic
693C2×C4#1451974511yescharacteristic
694C2×C4#1451974612yes—
695C2×C4#1451974612yes—
696C2×C4#1451974812yes—
697C2×C4#1451974912yes—
698C2×C4#1451974912yes—
699C2×C4#1451974912yes—
700C2×C4#1451974912yes—
701C2×C4#1451977312yes—
702C2×C4#1451977312yes—
703C2×C4C2×D4×D6111yescharacteristic
704C2×C4C2×D4×D6111yescharacteristic
705C2×C4C22×C22⋊D6111yescharacteristic
706C2×C4C22×C22⋊D6111yescharacteristic
707C2×C4C22×C22⋊D6111yescharacteristic
708C2×C4C2×#1175822411yescharacteristic
709C8—24no—
710C8—2442no—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—42no—
715C22—42no—
716C22—44no—
717C22—42no—
718C22—42no—
719C22—44no—
720C22—82no—
721C22—84no—
722C22—82no—
723C22#1683967012yes—
724C22#1683967012yes—
725C22C2×#1451974511yescharacteristic
726C22C2×#1451974511yescharacteristic
727C22C2×#1451974811yescharacteristic
728C4—42no—
729C4—42no—
730C4—2444no—
731C4—2444no—
732C4—2444no—
733C4#1683967012yes—
734C4#1683967012yes—
735C4C2×#1451974611yescharacteristic
736C4C2×#1451974911yescharacteristic
737C4C2×#1451974911yescharacteristic
738C4C2×#1451977311yescharacteristic
739C2—21no—
740C2—21no—
741C2—22no—
742C2—22no—
743C2—82no—
744C2—82no—
745C2C2×#1683967011yescharacteristic
746C2#2145518112yes—
subgroupG/H
centerC22C2×#14519745
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
Fitting, prime radicalC2×C61×#575C2
socleC22×C61C2×#120
hypercenterC2×#575D61
hypocenterC61#23403
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#575

Complements

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

NH ≅ G/Ntype
1. C2×#16840333C2semidirect
2. C2×#16840333C2semidirect
3. C2×#16839779C2semidirect
4. #21454338C2semidirect
5. C22×#14519695C2semidirect
6. #21446852C2semidirect
7. #21446838C2semidirect
8. #21445530C2semidirect
19. C2×#14519775C22semidirect
21. C2×#14519764C22semidirect
30. #16839771C22semidirect
31. #16839767C22semidirect
35. C2×#14519695C22semidirect
36. #16839523C22semidirect
420. C61#23403semidirect

Maximal subgroups

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

subgroupindex
C2×#168403332
C2×#168397792
#214543382
C22×#145196952
#214468522
#214468382
#214455302
C2×C61×#5752
#2340361