Finite Group Databasebeta

← #14424722

Subgroups — #14424722

Order 1920.

1528 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#92018C211yesmaximal, characteristic, complemented
2C2×#91839C211yesmaximal, characteristic, complemented
3C2×C5×#949C211yesmaximal, characteristic, complemented
4C3×#66167C211yesmaximal, characteristic, complemented
5#11749405C212yesmaximal, complemented
6#11749397C212yesmaximal, complemented
7#11749159C212yesmaximal, complemented
8#11749151C212yesmaximal, complemented
9#11748413C211yesmaximal, characteristic, complemented
10C2×#90966C211yesmaximal, characteristic, complemented
11#11748343C211yesmaximal, characteristic, complemented
12#10615680—31nomaximal, Hall
13C2×C3×C5×#41C2211yescharacteristic, complemented
14C2×#6817C2211yescharacteristic
15C22×C5×D12C2211yescharacteristic
16C2×C3×#709C2211yescharacteristic
17C2×D3×C22⋊D5—22no—
18#92018—24no—
19#92018—24no—
20C2×#6777—21no—
21C2×D5×D12C2212yes—
22C2×#6772C2212yes—
23C2×#6768—21no—
24#91839—24no—
25C2×#6718C2211yescharacteristic, complemented
26C2×#6717C2211yescharacteristic, complemented
27C2×#6716C2211yescharacteristic, complemented
28C2×#6715C2211yescharacteristic, complemented
29C22×C3⋊#168C2211yescharacteristic, complemented
30C5×#949—24no—
31C2×C5×#215C2212yescomplemented
32C2×C5×#213C2212yescomplemented
33C2×C5×#208C2211yescharacteristic, complemented
34C3×#4092C2212yescomplemented
35C3×#4085—22no—
36C3×#4084C2212yescomplemented
37C3×#4076—21no—
38C2×C3×C4⋊Dic5C2211yescharacteristic, complemented
39C3×#4070—21no—
40#90974C2212yescomplemented
41#90968C2212yescomplemented
42#90966C2212yescomplemented
43#90966C2212yescomplemented
44#90955C2212yescomplemented
45#90955C2212yescomplemented
46#83424—51nomaximal, Hall
47C2×#4144—31no—
48C2×C5×AGL(1,ℤ/8)—31no—
49#66167D311yescharacteristic, complemented
50C2×#4096—31no—
51C2×#3964—31no—
52#65462—32no—
53#65458—32no—
54#65447—32no—
55#65445—32no—
56#65422—31no—
57#65418—31no—
58C23×C5×D3—21no—
59C22×D3×D5—22no—
60C3×C5×#41—22no—
61C3×C5×#41—22no—
62C2×C3×C5×Q8C2311yescharacteristic
63C2×C3×C5×D4—21no—
64C2×C3×C5×D4C2311yescharacteristic
65C22×C3×C4×C5—21no—
66C22×C3×C4×C5C2311yescharacteristic
67C2×#1220—21no—
68#6817—22no—
69#6817D414yescomplemented
70C2×D60C2311yescharacteristic
71C2×C4×D15—21no—
72C2×Dic30C2311yescharacteristic
73C2×C5×D12—21no—
74C2×C5×D12—22no—
75C2×C5×D12D414yescomplemented
76C2×C5×D12C2312yes—
77C2×C3×C22⋊D5—22no—
78C2×C3×C22⋊D5D412yes—
79C22×C3×Dic5—21no—
80C3×#709—22no—
81C3×#709—22no—
82C2×C3×D20D411yescharacteristic
83C2×C3×C4×D5C2312yes—
84C2×C3×Dic10D411yescharacteristic
85D3×C22⋊D5—216no—
86C2×#1203—22no—
87C2×#1201—22no—
88C2×D3×Dic5—22no—
89#6777—28no—
90D5×D12—24no—
91D5×D12—24no—
92#6772—24no—
93#6772—24no—
94#6768—28no—
95#6718—22no—
96#6717—22no—
97#6716—22no—
98#6715—22no—
99C2×C3⋊#168—22no—
100C2×C3⋊#168C2311yescharacteristic
101C2×C3⋊#168C2311yescharacteristic
102C5×#215—24no—
103C5×#213—24no—
104C5×#208—22no—
105C2×C5×C3⋊C8C2312yes—
106C3×C22⋊Dic5—22no—
107C3×#685—22no—
108C3×C4⋊Dic5—21no—
109C3×C4⋊Dic5C2312yes—
110C3×#683—22no—
111C2×#1009—51no—
112C3×#537—51no—
113C2×#950—51no—
114C2×#949D511yescharacteristic, complemented
115#5234—51no—
116#5047—52no—
117#5046—52no—
118#5037—52no—
119#5036—52no—
120#4966—51no—
121C2×#809—51no—
122C2×C5×#41C2×D311yescharacteristic, complemented
123C22×C5×D4—31no—
124C22×C22⋊D5—62no—
125#4144—64no—
126#4144—64no—
127C2×#711—32no—
128C2×#711—61no—
129C2×D4×D5—32no—
130C2×D4×D5—61no—
131C2×#709—31no—
132C2×#709C2×D311yescharacteristic
133C5×AGL(1,ℤ/8)—64no—
134C2×C5×SD16—32no—
135C2×C5×D8—32no—
136C2×C5×M16—31no—
137#4096—64no—
138#4092C2×D312yescomplemented
139C2×#689—31no—
140C2×#688—31no—
141#4085—22no—
142#4084C2×D312yescomplemented
143C2×#687—31no—
144C2×#686—31no—
145#4076—21no—
146C2×C4⋊Dic5C2×D311yescharacteristic, complemented
147#4070—21no—
148C22×#168—31no—
149#3964—32no—
150#3964—32no—
151#3953—32no—
152#3952—32no—
153#3952—32no—
154#3948—32no—
155#3012—151noSylow
156C23×C3×C5—21no—
157C23×C3×C5C2×D411yescharacteristic
158C22×D15—21no—
159C22×C5×D3—22no—
160C22×C5×D3—24no—
161C22×C5×D3—81no—
162C22×C5×D3—81no—
163C22×C3×D5C2×D412yes—
164C2×D3×D5—28no—
165C2×D3×D5—82no—
166C2×D3×D5—82no—
167C3×C5×Q8—21no—
168C3×C5×Q8—21no—
169C3×C5×D4—21no—
170C3×C5×D4—21no—
171C3×C5×D4—42no—
172C2×C3×C4×C5—21no—
173C2×C3×C4×C5—42no—
174C2×C3×C4×C5C2×D411yescharacteristic
175C2×C3×C4×C5C2×D412yes—
176C2×C3×C4×C5C2×D412yes—
177C2×C3×C4×C5C2411yescharacteristic
178#1220—24no—
179C2×Dic15—21no—
180D60—21no—
181D60C2×D412yes—
182C4×D15—24no—
183Dic30—21no—
184Dic30C2×D412yes—
185C5×D12—24no—
186C5×D12—22no—
187C5×D12C2×D414yes—
188C3×C22⋊D5—24no—
189C3×C22⋊D5—82no—
190C2×C3×Dic5—22no—
191C2×C3×Dic5—81no—
192C2×C3×Dic5C2×D412yes—
193C3×D20—22no—
194C3×C4×D5—22no—
195C3×C4×D5—22no—
196C3×Dic10—22no—
197#1203—28no—
198#1201—28no—
199D3×Dic5—28no—
200C3⋊#168—21no—
201C3⋊#168—21no—
202C5×C3⋊C8—22no—
203C2×C3×#41—51no—
204C2×C3×#41C2×D511yescharacteristic, complemented
205#1009—104no—
206#1009—104no—
207C2×#239—101no—
208C2×D3×D4—101no—
209C2×D3×D4—102no—
210C2×#235—51no—
211C2×#235—52no—
212C22×D12—52no—
213C22×D12C2×D511yescharacteristic
214C3×C22⋊Q8—52no—
215C3×C22⋊Q8—101no—
216C3×#121—52no—
217C3×#121—101no—
218C3×#121—102no—
219C2×C3×C4⋊C4—51no—
220#950—104no—
221#949—24no—
222C2×#216—51no—
223C2×#215—51no—
224C2×#215C2×D512yescomplemented
225C2×#214—51no—
226C2×#213—51no—
227C2×#213C2×D512yescomplemented
228C2×#208C2×D511yescharacteristic, complemented
229C22×C3⋊C8—51no—
230#830—52no—
231#830—52no—
232#810—52no—
233#809—52no—
234#809—52no—
235#809—52no—
236C24×C5—61no—
237C23×D5—62no—
238C5×#41—22no—
239C5×#41—22no—
240C2×C5×Q8C22×D311yescharacteristic
241C2×C5×D4—21no—
242C2×C5×D4—34no—
243C2×C5×D4—32no—
244C2×C5×D4—62no—
245C2×C5×D4—61no—
246C2×C5×D4C22×D311yescharacteristic
247C22×C4×C5—21no—
248C22×C4×C5C22×D311yescharacteristic
249C2×C22⋊D5—22no—
250C2×C22⋊D5—616no—
251C2×C22⋊D5—61no—
252C2×C22⋊D5—62no—
253C2×C22⋊D5—62no—
254C2×C22⋊D5#6712yes—
255C22×Dic5—21no—
256C22×Dic5—62no—
257#711—68no—
258#711—64no—
259#711—64no—
260D4×D5—64no—
261D4×D5—64no—
262D4×D5—68no—
263#709—22no—
264#709—22no—
265#709—34no—
266#709—62no—
267C2×D20—31no—
268C2×D20#6711yescharacteristic
269C2×C4×D5—61no—
270C2×C4×D5C22×D312yes—
271C2×Dic10—31no—
272C2×Dic10#6711yescharacteristic
273C5×SD16—64no—
274C5×D8—64no—
275C5×M16—62no—
276C2×C5×C8—32no—
277C22⋊Dic5—22no—
278#689—62no—
279#688—62no—
280#687—62no—
281#686—62no—
282#685—22no—
283C4⋊Dic5—21no—
284C4⋊Dic5C22×D312yes—
285#683—22no—
286C2×#168—31no—
287C2×#168—31no—
288C2×#168—62no—
289C2×H(5,𝔽2)—151no—
290C2×AGL(1,ℤ/8)—31no—
291C2×#135—151no—
292#537—51no—
293#452—152no—
294#450—152no—
295#449—152no—
296#447—152no—
297#417—151no—
298C2×#102—151no—
299#408—151no—
300C22×C3×C5—21no—
301C22×C3×C5—21no—
302C22×C3×C5—41no—
303C22×C3×C5—41no—
304C22×C3×C5—41no—
305C22×C3×C5#12012yes—
306C22×C3×C5C22×D411yescharacteristic
307C2×D15—22no—
308C2×D15—41no—
309C2×D15—41no—
310C2×C5×D3—24no—
311C2×C5×D3—42no—
312C2×C5×D3—42no—
313C2×C5×D3—84no—
314C2×C3×D5—22no—
315C2×C3×D5—22no—
316C2×C3×D5—22no—
317D3×D5—88no—
318C3×C4×C5—41no—
319C3×C4×C5#12012yes—
320C3×C4×C5C22×D411yescharacteristic
321C3×C4×C5C22×D411yescharacteristic
322Dic15—22no—
323C3×Dic5—22no—
324C3×Dic5—42no—
325C23×D3—21no—
326C23×D3—102no—
327C3×#41—22no—
328C3×#41—22no—
329C3×#41—102no—
330C3×#41—102no—
331C2×C3×Q8—51no—
332C2×C3×Q8C22×D511yescharacteristic
333C2×C3×D4—21no—
334C2×C3×D4—52no—
335C2×C3×D4—51no—
336C2×C3×D4—102no—
337C2×C3×D4C22×D511yescharacteristic
338C22×C3×C4—21no—
339C22×C3×C4—52no—
340C22×C3×C4—101no—
341C22×C3×C4C22×D511yescharacteristic
342C2×#67—102no—
343C2×#67—101no—
344#239—108no—
345D3×D4—108no—
346D3×D4—1016no—
347#235—54no—
348#235—104no—
349#235—102no—
350#235—104no—
351C2×D12—21no—
352C2×D12—22no—
353C2×D12—51no—
354C2×D12—104no—
355C2×D12—102no—
356C2×D12—104no—
357C2×D12C22⋊D514yescomplemented
358C2×D12C22×D512yes—
359C2×C4×D3—102no—
360C2×C4×D3—101no—
361C2×Dic6—51no—
362C3×C4⋊C4—52no—
363C3×C4⋊C4—102no—
364C3×C4⋊C4—101no—
365C3×C22⋊C4—102no—
366C3×C22⋊C4—102no—
367#216—102no—
368#215—24no—
369#215—102no—
370#214—102no—
371#213—24no—
372#213—102no—
373#208—22no—
374C2×C3⋊C8—51no—
375C2×C3⋊C8—51no—
376C2×C3⋊C8—102no—
377C2×C3⋊C8C22×D512yes—
378C23×C5—21no—
379C23×C5—62no—
380C23×C5—64no—
381C23×C5—241no—
382C23×C5—241no—
383C23×C5C2×#6711yescharacteristic
384C22×D5—68no—
385C22×D5—61no—
386C22×D5—242no—
387C22×D5—242no—
388C22×D5C2×#6712yes—
389C5×Q8—21no—
390C5×Q8—21no—
391C5×D4—21no—
392C5×D4—21no—
393C5×D4—34no—
394C5×D4—42no—
395C5×D4—64no—
396C5×D4—62no—
397C2×C4×C5—21no—
398C2×C4×C5—42no—
399C2×C4×C5D3×D412yes—
400C2×C4×C5D3×D412yes—
401C2×C4×C5C2×#6711yescharacteristic
402C2×C4×C5C23×D311yescharacteristic
403C22⋊D5—24no—
404C22⋊D5—68no—
405C22⋊D5—68no—
406C22⋊D5—64no—
407C22⋊D5—82no—
408C2×Dic5—22no—
409C2×Dic5—68no—
410C2×Dic5—61no—
411C2×Dic5—81no—
412C2×Dic5C2×#6712yes—
413D20—22no—
414D20—32no—
415D20—61no—
416C4×D5—22no—
417C4×D5—22no—
418C4×D5—64no—
419Dic10—22no—
420Dic10—32no—
421Dic10—61no—
422C5×C8—62no—
423#168—61no—
424#168—61no—
425H(5,𝔽2)—304no—
426H(5,𝔽2)—304no—
427C2×#41—51no—
428C2×#41—152no—
429C2×#41—151no—
430C2×#41—301no—
431C2×#41D3×D511yescharacteristic, complemented
432C22×D4—31no—
433C22×D4—152no—
434C22×D4—301no—
435C22×D4—302no—
436AGL(1,ℤ/8)—64no—
437#135—304no—
438C2×Q16—151no—
439C2×SD16—32no—
440C2×SD16—151no—
441C2×SD16—151no—
442C2×D8—32no—
443C2×D8—151no—
444C2×M16—31no—
445C22×C8—151no—
446C22⋊Q8—52no—
447C22⋊Q8—101no—
448#121—52no—
449#121—101no—
450#121—102no—
451C2×C4⋊C4—51no—
452#103—152no—
453#102—152no—
454#102—152no—
455#102—152no—
456C22⋊C8—152no—
457C22⋊C8—152no—
458C2×C3×C5—22no—
459C2×C3×C5—81no—
460C2×C3×C5C2×#12011yescharacteristic
461C2×C3×C5#57611yescharacteristic
462C2×C3×C5#57711yescharacteristic
463D15—42no—
464C3×D5—42no—
465C5×D3—44no—
466C23×C3—21no—
467C23×C3—52no—
468C23×C3D4×D511yescharacteristic
469C22×D3—22no—
470C22×D3—24no—
471C22×D3—81no—
472C22×D3—81no—
473C22×D3—108no—
474C22×D3—101no—
475C22×D3—402no—
476C22×D3—402no—
477C3×Q8—21no—
478C3×Q8—21no—
479C3×Q8—102no—
480C3×D4—21no—
481C3×D4—21no—
482C3×D4—42no—
483C3×D4—104no—
484C3×D4—102no—
485C3×D4—402no—
486C2×C3×C4—21no—
487C2×C3×C4—42no—
488C2×C3×C4—52no—
489C2×C3×C4—102no—
490C2×C3×C4—102no—
491C2×C3×C4—102no—
492C2×C3×C4—401no—
493C2×C3×C4D4×D511yescharacteristic
494C2×C3×C4D4×D512yes—
495C2×C3×C4C2×C22⋊D512yes—
496C2×C3×C4C23×D511yescharacteristic
497#67—108no—
498#67—104no—
499C2×Dic3—101no—
500D12—22no—
501D12—24no—
502D12—52no—
503D12—108no—
504D12—101no—
505D12C2×C22⋊D514yes—
506C4×D3—108no—
507C4×D3—104no—
508Dic6—52no—
509Dic6—101no—
510C3⋊C8—22no—
511C3⋊C8—101no—
512C3⋊C8—101no—
513C22×C5—21no—
514C22×C5—21no—
515C22×C5—41no—
516C22×C5—41no—
517C22×C5—41no—
518C22×C5—64no—
519C22×C5—122no—
520C22×C5—122no—
521C22×C5—244no—
522C22×C5#93712yes—
523C22×C5C22×#6711yescharacteristic
524C2×D5—22no—
525C2×D5—22no—
526C2×D5—22no—
527C2×D5—62no—
528C2×D5—121no—
529C2×D5—121no—
530C2×D5—248no—
531C4×C5—41no—
532C4×C5#93712yes—
533C4×C5C2×D3×D411yescharacteristic
534C4×C5C2×D3×D411yescharacteristic
535Dic5—22no—
536Dic5—42no—
537Dic5—62no—
538C24—61no—
539C24—302no—
540#41—22no—
541#41—22no—
542#41—102no—
543#41—102no—
544#41—154no—
545#41—304no—
546#41—304no—
547#41—308no—
548#41—302no—
549C2×Q8—51no—
550C2×Q8—151no—
551C2×Q8C2×D3×D511yescharacteristic
552C2×D4—21no—
553C2×D4—34no—
554C2×D4—32no—
555C2×D4—52no—
556C2×D4—51no—
557C2×D4—61no—
558C2×D4—62no—
559C2×D4—102no—
560C2×D4—151no—
561C2×D4—302no—
562C2×D4—304no—
563C2×D4—304no—
564C2×D4—308no—
565C2×D4—3016no—
566C2×D4—302no—
567C2×D4—301no—
568C2×D4C2×D3×D511yescharacteristic
569C22×C4—21no—
570C22×C4—52no—
571C22×C4—101no—
572C22×C4—302no—
573C22×C4—301no—
574C22×C4C2×D3×D511yescharacteristic
575Q16—302no—
576SD16—64no—
577SD16—302no—
578SD16—302no—
579D8—64no—
580D8—302no—
581M16—62no—
582C2×C8—32no—
583C2×C8—151no—
584C2×C8—151no—
585C2×C8—302no—
586C4⋊C4—52no—
587C4⋊C4—102no—
588C4⋊C4—101no—
589C22⋊C4—102no—
590C22⋊C4—102no—
591C3×C5#301211yescharacteristic, complemented, Hall
592C22×C3—21no—
593C22×C3—21no—
594C22×C3—41no—
595C22×C3—41no—
596C22×C3—41no—
597C22×C3—102no—
598C22×C3—102no—
599C22×C3—102no—
600C22×C3#408312yes—
601C22×C3C2×D4×D511yescharacteristic
602C2×D3—24no—
603C2×D3—42no—
604C2×D3—42no—
605C2×D3—84no—
606C2×D3—102no—
607C2×D3—201no—
608C2×D3—201no—
609C2×D3—408no—
610C3×C4—41no—
611C3×C4—102no—
612C3×C4—202no—
613C3×C4#408312yes—
614C3×C4C2×D4×D511yescharacteristic
615C3×C4C22×C22⋊D511yescharacteristic
616Dic3—102no—
617C2×C5—22no—
618C2×C5—81no—
619C2×C5—124no—
620C2×C5C2×#93711yescharacteristic
621C2×C5#583511yescharacteristic
622C2×C5#583711yescharacteristic
623D5—42no—
624D5—122no—
625C23—21no—
626C23—52no—
627C23—62no—
628C23—64no—
629C23—241no—
630C23—241no—
631C23—308no—
632C23—301no—
633C23—1202no—
634C23—1202no—
635C23D5×#6711yescharacteristic
636Q8—21no—
637Q8—21no—
638Q8—102no—
639Q8—152no—
640Q8—301no—
641D4—21no—
642D4—21no—
643D4—34no—
644D4—42no—
645D4—62no—
646D4—64no—
647D4—104no—
648D4—102no—
649D4—152no—
650D4—308no—
651D4—308no—
652D4—304no—
653D4—301no—
654D4—402no—
655C2×C4—21no—
656C2×C4—42no—
657C2×C4—52no—
658C2×C4—102no—
659C2×C4—102no—
660C2×C4—102no—
661C2×C4—308no—
662C2×C4—301no—
663C2×C4—304no—
664C2×C4—401no—
665C2×C4D5×#6711yescharacteristic
666C2×C4D3×C22⋊D512yes—
667C2×C4#679012yes—
668C2×C4C22×D3×D511yescharacteristic
669C8—62no—
670C8—301no—
671C8—301no—
672C2×C3—22no—
673C2×C3—81no—
674C2×C3—202no—
675C2×C3#6610811yescharacteristic
676C2×C3#6610911yescharacteristic
677C2×C3C2×#408311yescharacteristic
678D3—44no—
679D3—202no—
680C5#8342411yescharacteristic, complemented, Sylow
681C22—21no—
682C22—21no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—64no—
687C22—102no—
688C22—102no—
689C22—102no—
690C22—122no—
691C22—122no—
692C22—244no—
693C22—302no—
694C22—601no—
695C22—601no—
696C22—1208no—
697C22#9157712yes—
698C22C2×D5×#6711yescharacteristic
699C4—41no—
700C4—102no—
701C4—202no—
702C4—302no—
703C4#9157712yes—
704C4C2×D3×C22⋊D511yescharacteristic
705C4C2×#679011yescharacteristic
706C3#1061568011yescharacteristic, complemented, Sylow
707C2—22no—
708C2—81no—
709C2—124no—
710C2—202no—
711C2—602no—
712C2#1175531611yescharacteristic
713C2#1175531711yescharacteristic
714C2C2×#9157711yescharacteristic
subgroupG/H
centerC22C2×D5×#67
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×#41C22
socleC22×C3×C5C22×D4
hypercenterC2×#41D3×D5
hypocenterC3×C5#3012
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×#92018C2semidirect
2. C2×#91839C2semidirect
3. C2×C5×#949C2semidirect
4. C3×#66167C2semidirect
5. #11749405C2semidirect
6. #11749397C2semidirect
7. #11749159C2semidirect
8. #11749151C2semidirect
9. #11748413C2semidirect
10. C2×#90966C2semidirect
11. #11748343C2semidirect
13. C2×C3×C5×#41C22semidirect
25. C2×#6718C22semidirect
26. C2×#6717C22semidirect
27. C2×#6716C22semidirect
28. C2×#6715C22semidirect
29. C22×C3⋊#168C22semidirect
31. C2×C5×#215C22semidirect
32. C2×C5×#213C22semidirect
33. C2×C5×#208C22semidirect
34. C3×#4092C22semidirect
36. C3×#4084C22semidirect
38. C2×C3×C4⋊Dic5C22semidirect
40. #90974C22semidirect
41. #90968C22semidirect
42. #90966C22semidirect
43. #90966C22semidirect
44. #90955C22semidirect
45. #90955C22semidirect
49. #66167D3semidirect
69. #6817D4semidirect
75. C2×C5×D12D4semidirect
114. C2×#949D5semidirect
122. C2×C5×#41C2×D3semidirect
138. #4092C2×D3semidirect
142. #4084C2×D3semidirect
146. C2×C4⋊Dic5C2×D3semidirect
204. C2×C3×#41C2×D5semidirect
224. C2×#215C2×D5semidirect
227. C2×#213C2×D5semidirect
228. C2×#208C2×D5semidirect
357. C2×D12C22⋊D5semidirect
431. C2×#41D3×D5semidirect
591. C3×C5#3012semidirect
680. C5#83424semidirect
706. C3#10615680semidirect

Maximal subgroups

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

subgroupindex
C2×#920182
C2×#918392
C2×C5×#9492
C3×#661672
#117494052
#117493972
#117491592
#117491512
#117484132
C2×#909662
#117483432
#106156803
#834245