Finite Group Databasebeta

← #14424750

Subgroups — #14424750

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×C5×#1004C211yesmaximal, characteristic, complemented
2C2×#91821C211yesmaximal, characteristic, complemented
3#11754603C211yesmaximal, characteristic, complemented
4C2×#91303C211yesmaximal, characteristic, complemented
5C2×C3×#3964C211yesmaximal, characteristic, complemented
6#11749056C212yesmaximal, complemented
7#11749054C212yesmaximal, complemented
8#11749036C212yesmaximal, complemented
9#11749033C212yesmaximal, complemented
10#11748384C211yesmaximal, characteristic, complemented
11#11748345C211yesmaximal, characteristic, complemented
12#10615833—31nomaximal, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C2×#6817C2211yescharacteristic, complemented
15C22×C5×#67—22no—
16C5×#1004—24no—
17C5×#1004—24no—
18C2×C5×#237—21no—
19C2×C5×#237C2212yes—
20C2×C5×D3×D4—21no—
21C2×C5×D3×D4C2212yes—
22C2×C5×#235C2211yescharacteristic
23C2×C5×#235C2211yescharacteristic
24C2×#6716C2212yescomplemented
25#91821—24no—
26C2×#6715C2212yescomplemented
27C2×#6710C2211yescharacteristic, complemented
28C2×C3×C4⋊Dic5C2211yescharacteristic, complemented
29C22×C3×#168C2211yescharacteristic, complemented
30#91566—22no—
31#91466—21no—
32#91460C2212yescomplemented
33#91383—21no—
34#91365C2212yescomplemented
35C2×#6663C2211yescharacteristic, complemented
36C2×#6660C2211yescharacteristic, complemented
37C2×#6659C2211yescharacteristic, complemented
38#91303—24no—
39C2×#6654C2211yescharacteristic, complemented
40C3×#3964C2212yescomplemented
41C3×#3964C2212yescomplemented
42#90972C2212yescomplemented
43#90966C2212yescomplemented
44(C2×D3)⋊#168C2212yescomplemented
45(C2×D3)⋊#168C2212yescomplemented
46#78747—51nomaximal, Hall
47C2×C5×H(5,𝔽2)—31no—
48#66167—31no—
49C2×#4096—31no—
50C2×#4078—31no—
51#65528—32no—
52#65527—32no—
53#65523—31no—
54#65521—31no—
55#65507—32no—
56#65506—32no—
57C2×#3964D311yescharacteristic, complemented
58C24×C3×C5—21no—
59C23×C5×D3—22no—
60C2×C3×C5×D4—21no—
61C2×C3×C5×D4—22no—
62C2×C3×C5×D4D414yescomplemented
63C2×C3×C5×D4C2312yes—
64C22×C3×C4×C5C2311yescharacteristic
65C2×#1220—21no—
66#6817—22no—
67#6817—22no—
68C2×D60C2311yescharacteristic
69C2×C4×D15—21no—
70C2×Dic30C2311yescharacteristic
71C2×C5×#67—216no—
72C2×C5×#67—21no—
73C2×C5×#67—22no—
74C2×C5×#67—22no—
75C2×C5×#67D412yes—
76C22×C5×Dic3—22no—
77C5×#237—28no—
78C5×#237—24no—
79C5×#237—24no—
80C5×D3×D4—28no—
81C5×D3×D4—24no—
82C5×D3×D4—24no—
83C5×#235—22no—
84C5×#235—22no—
85C5×#235—22no—
86C5×#235D414yescomplemented
87C2×C5×D12D411yescharacteristic
88C2×C5×D12C2311yescharacteristic
89C2×C4×C5×D3—21no—
90C2×C4×C5×D3C2312yes—
91C2×C5×Dic6D411yescharacteristic
92C2×C5×Dic6C2311yescharacteristic
93C22×C3×Dic5—21no—
94C2×#1203—22no—
95#6716—24no—
96#6715—24no—
97#6710—22no—
98C2×C3⋊#168C2312yes—
99C3×C4⋊Dic5—21no—
100C3×C4⋊Dic5C2312yes—
101C2×C3×#168—22no—
102C2×C3×#168C2311yescharacteristic
103C2×C3×#168C2311yescharacteristic
104#6668—22no—
105#6667—22no—
106(C2×D3)⋊Dic5—22no—
107#6663—22no—
108#6660—22no—
109#6659—22no—
110#6654—22no—
111C2×#1004D511yescharacteristic, complemented
112C2×#932—51no—
113C2×#904—51no—
114#5510—51no—
115C2×C3×#102—51no—
116#5110—51no—
117#4966—51no—
118#4783—52no—
119#4781—52no—
120#4776—52no—
121#4773—52no—
122C5×H(5,𝔽2)—64no—
123C5×H(5,𝔽2)—64no—
124C2×C5×#41—31no—
125C2×C5×#41—32no—
126C2×C5×#41—31no—
127C2×C5×#41—61no—
128C22×C5×D4—32no—
129C22×C5×D4—61no—
130C22×C5×D4—62no—
131C22×C5×D4C2×D311yescharacteristic
132C2×#709—31no—
133#4096—64no—
134#4092—61no—
135C2×#689—31no—
136C2×#688—31no—
137#4085—62no—
138#4084—61no—
139C2×#687—32no—
140C2×#687—31no—
141#4078—64no—
142C2×#686—32no—
143C2×#686—31no—
144#4076—32no—
145C2×C4⋊Dic5C2×D311yescharacteristic, complemented
146#4070—32no—
147C2×#681—31no—
148C22×#168C2×D311yescharacteristic, complemented
149#3967—32no—
150#3964—32no—
151#3964C2×D312yescomplemented
152#3964C2×D312yescomplemented
153C22⋊#168—32no—
154C22⋊#168—32no—
155#3012—151noSylow
156C23×C3×C5—22no—
157C23×C3×C5—24no—
158C23×C3×C5—81no—
159C23×C3×C5—81no—
160C23×C3×C5C2×D411yescharacteristic
161C22×D15—21no—
162C22×C5×D3—21no—
163C22×C5×D3—28no—
164C22×C5×D3—82no—
165C22×C5×D3—82no—
166C22×C5×D3C2×D412yes—
167C3×C5×D4—24no—
168C3×C5×D4—22no—
169C3×C5×D4C2×D414yes—
170C2×C3×C4×C5C2×D411yescharacteristic
171C2×C3×C4×C5C2×D412yes—
172C2×C3×C4×C5C2×D412yes—
173C2×C3×C4×C5C2411yescharacteristic
174#1220—42no—
175C2×Dic15—21no—
176D60—21no—
177D60—21no—
178C4×D15—42no—
179Dic30—21no—
180Dic30—21no—
181C5×#67—28no—
182C5×#67—28no—
183C5×#67—24no—
184C5×#67—24no—
185C2×C5×Dic3—28no—
186C2×C5×Dic3—21no—
187C2×C5×Dic3C2×D412yes—
188C5×D12—22no—
189C5×D12—21no—
190C5×D12C2×D412yes—
191C4×C5×D3—24no—
192C4×C5×D3—22no—
193C4×C5×D3—22no—
194C5×Dic6—22no—
195C5×Dic6—21no—
196C5×Dic6C2×D412yes—
197C2×C3×Dic5—22no—
198C2×C3×Dic5—81no—
199#1203—82no—
200C3⋊#168—22no—
201C3×#168—21no—
202C3×#168—21no—
203C22×C3×D4C2×D511yescharacteristic
204C22×#67—22no—
205#1004—24no—
206#1004—24no—
207C2×#237—21no—
208C2×#237C2×D512yes—
209C2×D3×D4—21no—
210C2×D3×D4C2×D512yes—
211C2×#235—51no—
212C2×#235C2×D511yescharacteristic
213C2×#235C2×D511yescharacteristic
214C22×C3×C8—51no—
215C2×C3×C4⋊C4—51no—
216C2×#214—52no—
217#932—104no—
218C2×#213—52no—
219#930—102no—
220C2×#208—51no—
221C2×Dic12—51no—
222#904—104no—
223C2×D24—51no—
224C2×#204—51no—
225C2×#204—51no—
226#897—52no—
227#897—101no—
228#895—52no—
229#895—101no—
230C3×#102—52no—
231C3×#102—52no—
232(C2×D3)⋊C8—52no—
233(C2×D3)⋊C8—52no—
234#810—52no—
235#809—52no—
236C24×C5—21no—
237C24×C5—62no—
238C5×#41—34no—
239C5×#41—64no—
240C5×#41—68no—
241C5×#41—64no—
242C5×#41—62no—
243C5×#41—62no—
244C5×#41—62no—
245C2×C5×Q8—31no—
246C2×C5×Q8—31no—
247C2×C5×D4—21no—
248C2×C5×D4—22no—
249C2×C5×D4—32no—
250C2×C5×D4—31no—
251C2×C5×D4—31no—
252C2×C5×D4—62no—
253C2×C5×D4—64no—
254C2×C5×D4—68no—
255C2×C5×D4—62no—
256C2×C5×D4—616no—
257C2×C5×D4—61no—
258C2×C5×D4—64no—
259C2×C5×D4D1214yescomplemented
260C2×C5×D4C22×D312yes—
261C22×C4×C5—32no—
262C22×C4×C5—62no—
263C22×C4×C5—61no—
264C22×C4×C5C22×D311yescharacteristic
265C2×C22⋊D5—62no—
266C2×C22⋊D5—61no—
267C22×Dic5—21no—
268#709—62no—
269#709—62no—
270C2×D20—31no—
271C2×C4×D5—61no—
272C2×Dic10—31no—
273C22⋊Dic5—62no—
274#689—62no—
275#688—62no—
276#687—62no—
277#687—64no—
278#686—62no—
279#686—64no—
280#685—62no—
281C4⋊Dic5—21no—
282C4⋊Dic5C22×D312yes—
283#683—62no—
284#681—62no—
285C2×#168—22no—
286C2×#168—32no—
287C2×#168C22×D311yescharacteristic
288C2×#168C22×D311yescharacteristic
289C2×H(5,𝔽2)—31no—
290C2×AGL(1,ℤ/8)—151no—
291C2×#135—151no—
292#537—151no—
293#452—152no—
294#450—152no—
295#449—152no—
296#447—152no—
297#417—151no—
298C2×#102—51no—
299#408—151no—
300C22×C3×C5—21no—
301C22×C3×C5—21no—
302C22×C3×C5—24no—
303C22×C3×C5—42no—
304C22×C3×C5—42no—
305C22×C3×C5—84no—
306C22×C3×C5#12012yes—
307C22×C3×C5C22×D411yescharacteristic
308C2×D15—41no—
309C2×D15—41no—
310C2×D15—41no—
311C2×C5×D3—22no—
312C2×C5×D3—22no—
313C2×C5×D3—22no—
314C2×C5×D3—22no—
315C2×C5×D3—41no—
316C2×C5×D3—41no—
317C2×C5×D3—88no—
318C3×C4×C5#12012yes—
319C3×C4×C5C22×D411yescharacteristic
320C3×C4×C5C22×D411yescharacteristic
321Dic15—41no—
322C3×Dic5—42no—
323C5×Dic3—22no—
324C5×Dic3—22no—
325C24×C3—21no—
326C23×D3—22no—
327C2×C3×D4—21no—
328C2×C3×D4—22no—
329C2×C3×D4C22⋊D514yescomplemented
330C2×C3×D4C22×D512yes—
331C22×C3×C4—101no—
332C22×C3×C4C22×D511yescharacteristic
333C2×#67—216no—
334C2×#67—21no—
335C2×#67—22no—
336C2×#67—22no—
337C2×#67—101no—
338C2×#67C22⋊D512yes—
339C22×Dic3—22no—
340#237—28no—
341#237—24no—
342#237—24no—
343D3×D4—28no—
344D3×D4—24no—
345D3×D4—24no—
346#235—22no—
347#235—22no—
348#235—22no—
349#235—102no—
350#235—102no—
351#235C22⋊D514yescomplemented
352C2×D12—51no—
353C2×D12—102no—
354C2×D12C22⋊D511yescharacteristic
355C2×D12C22×D511yescharacteristic
356C2×C4×D3—21no—
357C2×C4×D3—101no—
358C2×C4×D3C22×D512yes—
359C2×Dic6—51no—
360C2×Dic6C22⋊D511yescharacteristic
361C2×Dic6C22×D511yescharacteristic
362C2×C3×C8—51no—
363C2×C3×C8—51no—
364C2×C3×C8—102no—
365C3×C4⋊C4—52no—
366C3×C4⋊C4—101no—
367#214—104no—
368#213—104no—
369(C2×D3)⋊C4—102no—
370(C2×D3)⋊C4—102no—
371C4⋊Dic3—102no—
372#208—102no—
373C2×C3⋊C8—52no—
374Dic12—102no—
375D24—102no—
376#204—102no—
377#204—102no—
378C23×C5—22no—
379C23×C5—24no—
380C23×C5—32no—
381C23×C5—68no—
382C23×C5—61no—
383C23×C5—81no—
384C23×C5—81no—
385C23×C5—242no—
386C23×C5—242no—
387C23×C5D3×D411yescharacteristic
388C22×D5—61no—
389C5×Q8—32no—
390C5×Q8—62no—
391C5×Q8—61no—
392C5×D4—24no—
393C5×D4—22no—
394C5×D4—32no—
395C5×D4—68no—
396C5×D4—68no—
397C5×D4—64no—
398C5×D4—64no—
399C5×D4—62no—
400C5×D4—61no—
401C5×D4C2×D1214yes—
402C2×C4×C5—32no—
403C2×C4×C5—68no—
404C2×C4×C5—61no—
405C2×C4×C5—64no—
406C2×C4×C5—62no—
407C2×C4×C5—62no—
408C2×C4×C5C2×D1212yes—
409C2×C4×C5D3×D411yescharacteristic
410C2×C4×C5D3×D412yes—
411C2×C4×C5C23×D311yescharacteristic
412C22⋊D5—122no—
413C22⋊D5—242no—
414C2×Dic5—22no—
415C2×Dic5—61no—
416C2×Dic5—81no—
417D20—61no—
418D20—61no—
419C4×D5—122no—
420Dic10—61no—
421Dic10—61no—
422#168—21no—
423#168—21no—
424#168—62no—
425H(5,𝔽2)—64no—
426H(5,𝔽2)—64no—
427C2×#41—31no—
428C2×#41—32no—
429C2×#41—31no—
430C2×#41—61no—
431C2×#41—151no—
432C22×D4—32no—
433C22×D4—61no—
434C22×D4—62no—
435C22×D4D3×D511yescharacteristic
436AGL(1,ℤ/8)—304no—
437#135—304no—
438C2×Q16—151no—
439C2×SD16—151no—
440C2×SD16—151no—
441C2×SD16—152no—
442C2×D8—151no—
443C2×D8—152no—
444C2×M16—151no—
445C22×C8—51no—
446C22⋊Q8—152no—
447C22⋊Q8—301no—
448#121—152no—
449#121—301no—
450#121—302no—
451C2×C4⋊C4—51no—
452#103—152no—
453#102—52no—
454#102—52no—
455#102—152no—
456C22⋊C8—152no—
457C22⋊C8—152no—
458C2×C3×C5—22no—
459C2×C3×C5—44no—
460C2×C3×C5C2×#12011yescharacteristic
461C2×C3×C5#57611yescharacteristic
462C2×C3×C5#57711yescharacteristic
463D15—81no—
464C5×D3—42no—
465C5×D3—42no—
466C23×C3—22no—
467C23×C3—24no—
468C23×C3—81no—
469C23×C3—81no—
470C23×C3C2×C22⋊D511yescharacteristic
471C22×D3—21no—
472C22×D3—28no—
473C22×D3—82no—
474C22×D3—82no—
475C22×D3—101no—
476C22×D3C2×C22⋊D512yes—
477C3×D4—24no—
478C3×D4—22no—
479C3×D4C2×C22⋊D514yes—
480C2×C3×C4—102no—
481C2×C3×C4—401no—
482C2×C3×C4C2×C22⋊D512yes—
483C2×C3×C4C2×C22⋊D511yescharacteristic
484C2×C3×C4C2×C22⋊D512yes—
485C2×C3×C4C23×D511yescharacteristic
486#67—28no—
487#67—28no—
488#67—24no—
489#67—24no—
490#67—202no—
491C2×Dic3—28no—
492C2×Dic3—21no—
493C2×Dic3—101no—
494C2×Dic3C2×C22⋊D512yes—
495D12—22no—
496D12—21no—
497D12—101no—
498D12—101no—
499D12—402no—
500D12C2×C22⋊D512yes—
501C4×D3—24no—
502C4×D3—22no—
503C4×D3—22no—
504C4×D3—202no—
505Dic6—22no—
506Dic6—21no—
507Dic6—101no—
508Dic6—101no—
509Dic6C2×C22⋊D512yes—
510C3×C8—101no—
511C3×C8—101no—
512C3⋊C8—102no—
513C22×C5—21no—
514C22×C5—21no—
515C22×C5—24no—
516C22×C5—42no—
517C22×C5—42no—
518C22×C5—62no—
519C22×C5—62no—
520C22×C5—62no—
521C22×C5—62no—
522C22×C5—84no—
523C22×C5—121no—
524C22×C5—121no—
525C22×C5—248no—
526C22×C5#88212yes—
527C22×C5C2×D3×D411yescharacteristic
528C2×D5—121no—
529C2×D5—121no—
530C2×D5—121no—
531C4×C5—62no—
532C4×C5—62no—
533C4×C5#88212yes—
534C4×C5C22×D1211yescharacteristic
535C4×C5C2×D3×D411yescharacteristic
536Dic5—42no—
537Dic5—121no—
538C24—21no—
539C24—62no—
540#41—34no—
541#41—64no—
542#41—68no—
543#41—64no—
544#41—62no—
545#41—62no—
546#41—62no—
547#41—302no—
548#41—302no—
549C2×Q8—31no—
550C2×Q8—31no—
551C2×Q8—151no—
552C2×D4—21no—
553C2×D4—22no—
554C2×D4—32no—
555C2×D4—31no—
556C2×D4—31no—
557C2×D4—62no—
558C2×D4—64no—
559C2×D4—68no—
560C2×D4—62no—
561C2×D4—616no—
562C2×D4—61no—
563C2×D4—64no—
564C2×D4—151no—
565C2×D4—302no—
566C2×D4—301no—
567C2×D4#120314yescomplemented
568C2×D4C2×D3×D512yes—
569C22×C4—32no—
570C22×C4—62no—
571C22×C4—61no—
572C22×C4—101no—
573C22×C4—301no—
574C22×C4C2×D3×D511yescharacteristic
575Q16—302no—
576SD16—302no—
577SD16—302no—
578SD16—304no—
579D8—302no—
580D8—304no—
581M16—302no—
582C2×C8—51no—
583C2×C8—51no—
584C2×C8—102no—
585C2×C8—152no—
586C4⋊C4—52no—
587C4⋊C4—101no—
588C4⋊C4—302no—
589C22⋊C4—302no—
590C22⋊C4—302no—
591C3×C5#301211yescharacteristic, complemented, Hall
592C22×C3—21no—
593C22×C3—21no—
594C22×C3—24no—
595C22×C3—42no—
596C22×C3—42no—
597C22×C3—84no—
598C22×C3#409912yes—
599C22×C3C22×C22⋊D511yescharacteristic
600C2×D3—22no—
601C2×D3—22no—
602C2×D3—22no—
603C2×D3—22no—
604C2×D3—41no—
605C2×D3—41no—
606C2×D3—88no—
607C2×D3—201no—
608C2×D3—201no—
609C2×D3—201no—
610C3×C4—202no—
611C3×C4#409912yes—
612C3×C4C22×C22⋊D511yescharacteristic
613C3×C4C22×C22⋊D511yescharacteristic
614Dic3—22no—
615Dic3—22no—
616Dic3—201no—
617C2×C5—22no—
618C2×C5—44no—
619C2×C5—122no—
620C2×C5—122no—
621C2×C5C2×#88211yescharacteristic
622C2×C5#575711yescharacteristic
623C2×C5#576211yescharacteristic
624D5—241no—
625C23—22no—
626C23—24no—
627C23—32no—
628C23—68no—
629C23—61no—
630C23—81no—
631C23—81no—
632C23—242no—
633C23—242no—
634C23—301no—
635C23D3×C22⋊D511yescharacteristic
636Q8—32no—
637Q8—61no—
638Q8—62no—
639Q8—301no—
640Q8—301no—
641D4—22no—
642D4—24no—
643D4—32no—
644D4—68no—
645D4—68no—
646D4—64no—
647D4—64no—
648D4—61no—
649D4—62no—
650D4—301no—
651D4—301no—
652D4—602no—
653D4—1202no—
654D4C2×#120314yes—
655C2×C4—32no—
656C2×C4—68no—
657C2×C4—61no—
658C2×C4—62no—
659C2×C4—62no—
660C2×C4—64no—
661C2×C4—102no—
662C2×C4—301no—
663C2×C4—401no—
664C2×C4—602no—
665C2×C4C2×#120312yes—
666C2×C4D3×C22⋊D512yes—
667C2×C4D3×C22⋊D511yescharacteristic
668C2×C4C22×D3×D511yescharacteristic
669C8—101no—
670C8—101no—
671C8—302no—
672C2×C3—22no—
673C2×C3—44no—
674C2×C3#6616911yescharacteristic
675C2×C3#6617011yescharacteristic
676C2×C3C2×#409911yescharacteristic
677D3—42no—
678D3—42no—
679D3—401no—
680C5#7874711yescharacteristic, complemented, Sylow
681C22—21no—
682C22—21no—
683C22—24no—
684C22—42no—
685C22—42no—
686C22—62no—
687C22—62no—
688C22—62no—
689C22—62no—
690C22—84no—
691C22—121no—
692C22—121no—
693C22—248no—
694C22—601no—
695C22—601no—
696C22—601no—
697C22#9157012yes—
698C22C2×D3×C22⋊D511yescharacteristic
699C4—62no—
700C4—62no—
701C4—202no—
702C4—601no—
703C4#9157012yes—
704C4C22×#120311yescharacteristic
705C4C2×D3×C22⋊D511yescharacteristic
706C3#1061583311yescharacteristic, complemented, Sylow
707C2—22no—
708C2—44no—
709C2—122no—
710C2—122no—
711C2—1201no—
712C2#1175469711yescharacteristic
713C2#1175471111yescharacteristic
714C2C2×#9157011yescharacteristic
subgroupG/H
centerC22C2×D3×C22⋊D5
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC22×C3×C5×D4C22
socleC22×C3×C5C22×D4
hypercenterC22×D4D3×D5
hypocenterC3×C5#3012
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C2×C5×#1004C2semidirect
2. C2×#91821C2semidirect
3. #11754603C2semidirect
4. C2×#91303C2semidirect
5. C2×C3×#3964C2semidirect
6. #11749056C2semidirect
7. #11749054C2semidirect
8. #11749036C2semidirect
9. #11749033C2semidirect
10. #11748384C2semidirect
11. #11748345C2semidirect
14. C2×#6817C22semidirect
24. C2×#6716C22semidirect
26. C2×#6715C22semidirect
27. C2×#6710C22semidirect
28. C2×C3×C4⋊Dic5C22semidirect
29. C22×C3×#168C22semidirect
32. #91460C22semidirect
34. #91365C22semidirect
35. C2×#6663C22semidirect
36. C2×#6660C22semidirect
37. C2×#6659C22semidirect
39. C2×#6654C22semidirect
40. C3×#3964C22semidirect
41. C3×#3964C22semidirect
42. #90972C22semidirect
43. #90966C22semidirect
44. (C2×D3)⋊#168C22semidirect
45. (C2×D3)⋊#168C22semidirect
57. C2×#3964D3semidirect
62. C2×C3×C5×D4D4semidirect
86. C5×#235D4semidirect
111. C2×#1004D5semidirect
145. C2×C4⋊Dic5C2×D3semidirect
148. C22×#168C2×D3semidirect
151. #3964C2×D3semidirect
152. #3964C2×D3semidirect
259. C2×C5×D4D12semidirect
329. C2×C3×D4C22⋊D5semidirect
351. #235C22⋊D5semidirect
567. C2×D4#1203semidirect
591. C3×C5#3012semidirect
680. C5#78747semidirect
706. C3#10615833semidirect

Maximal subgroups

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

subgroupindex
C2×C5×#10042
C2×#918212
#117546032
C2×#913032
C2×C3×#39642
#117490562
#117490542
#117490362
#117490332
#117483842
#117483452
#106158333
#787475