Finite Group Databasebeta

← #14424729

Subgroups — #14424729

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×C3×#4149C211yesmaximal, characteristic, complemented
2C5×#5833C211yesmaximal, characteristic, complemented
3C2×#91298C211yesmaximal, characteristic, complemented
4C2×#91297C211yesmaximal, characteristic, complemented
5#11751335C211yesmaximal, characteristic, complemented
6#11748528C212yesmaximal, complemented
7#11748527C212yesmaximal, complemented
8#11748511C212yesmaximal, complemented
9#11748510C212yesmaximal, complemented
10#11748368C211yesmaximal, characteristic, complemented
11C2×#90964C211yesmaximal, characteristic, complemented
12#10615155—31nomaximal, Hall
13C2×C3×C5×#41C2211yescharacteristic
14C2×C5×#235C2211yescharacteristic, complemented
15C3×#4149—24no—
16C3×#4149—24no—
17C2×C3×#713—21no—
18C2×C3×D4×D5—21no—
19C2×C3×D4×D5—22no—
20C2×C3×#709C2212yes—
21C2×C3×#709C2211yescharacteristic
22C22×C3×D20C2212yes—
23C22×C3×D20C2211yescharacteristic
24C2×#6710C2211yescharacteristic, complemented
25C22×C3⋊#168C2211yescharacteristic, complemented
26C5×#946—21no—
27C5×#939—22no—
28C5×#938—21no—
29C5×#930C2212yescomplemented
30C2×C5×C4⋊Dic3C2211yescharacteristic, complemented
31C5×#924C2212yescomplemented
32C2×#6661C2211yescharacteristic, complemented
33C2×#6656C2211yescharacteristic, complemented
34C2×#6655C2211yescharacteristic, complemented
35C2×#6655C2212yescomplemented
36#91298—24no—
37#91297—24no—
38C2×#6652C2211yescharacteristic, complemented
39C2×#6652C2212yescomplemented
40#91114C2212yescomplemented
41#91114C2212yescomplemented
42#90970C2212yescomplemented
43#90964C2212yescomplemented
44#90964C2212yescomplemented
45#90964C2212yescomplemented
46#84102—51nomaximal, Hall
47C2×#4149D311yescharacteristic, complemented
48C5×#537—31no—
49C2×#4096—31no—
50C2×#4095—31no—
51#65523—31no—
52#65336—32no—
53#65335—32no—
54#65326—32no—
55#65325—32no—
56#65255—31no—
57C2×#3941—31no—
58C23×C3×D5—22no—
59C23×C3×D5—21no—
60C3×C5×#41—22no—
61C3×C5×#41—22no—
62C2×C3×C5×Q8D411yescharacteristic
63C2×C3×C5×D4D411yescharacteristic
64C2×C3×C5×D4D412yes—
65C22×C3×C4×C5C2312yes—
66C22×C3×C4×C5C2311yescharacteristic
67C2×C5×#67—21no—
68C2×C5×#67—22no—
69C22×C5×Dic3—21no—
70C5×#235—22no—
71C5×#235—22no—
72C2×C5×D12C2311yescharacteristic
73C2×C4×C5×D3—21no—
74C2×C5×Dic6C2311yescharacteristic
75C2×C3×C22⋊D5—22no—
76C2×C3×C22⋊D5—21no—
77C3×#713—28no—
78C3×D4×D5—216no—
79C3×D4×D5—28no—
80C3×#709—22no—
81C3×#709—24no—
82C3×#709—24no—
83C3×#709D414yescomplemented
84C2×C3×D20—22no—
85C2×C3×D20—21no—
86C2×C3×D20—22no—
87C2×C3×D20—24no—
88C2×C3×D20—24no—
89C2×C3×D20D414yescomplemented
90C2×C3×D20C2311yescharacteristic
91C2×C3×D20C2312yes—
92C2×C3×C4×D5—22no—
93C2×C3×C4×D5—21no—
94C2×C3×Dic10C2311yescharacteristic
95#6710—22no—
96C2×C3⋊#168—22no—
97C2×C3⋊#168C2311yescharacteristic
98C2×C3⋊#168C2311yescharacteristic
99C2×C3⋊#168C2312yes—
100C5×#217—22no—
101C5×(C2×D3)⋊C4—22no—
102C5×C4⋊Dic3—21no—
103C5×C4⋊Dic3C2312yes—
104C5×Dic3⋊C4—22no—
105#6661—22no—
106#6656—22no—
107#6655—22no—
108#6655—24no—
109#6652—22no—
110#6652—24no—
111C2×C3×H(5,𝔽2)—51no—
112#5833D511yescharacteristic, complemented
113C2×#950—51no—
114C2×#932—51no—
115#5239—52no—
116#5238—52no—
117#5234—51no—
118#5232—51no—
119#5218—52no—
120#5217—52no—
121C2×#832—51no—
122C2×C5×#41—31no—
123C2×C5×#41C2×D311yescharacteristic
124#4149—24no—
125#4149—24no—
126C2×#713—21no—
127C2×D4×D5—22no—
128C2×D4×D5—21no—
129C2×#709C2×D312yes—
130C2×#709C2×D311yescharacteristic
131C22×D20C2×D312yes—
132C22×D20C2×D311yescharacteristic
133C5×C22⋊Q8—32no—
134C5×C22⋊Q8—61no—
135C5×#121—32no—
136C5×#121—61no—
137C5×#121—62no—
138C2×C5×C4⋊C4—31no—
139#4096—64no—
140#4095—64no—
141C2×#689—31no—
142C2×#688—31no—
143C2×#688—32no—
144C2×#687—31no—
145C2×#686—31no—
146C2×#686—32no—
147C2×#681—31no—
148C22×#168—31no—
149C22⋊#168—32no—
150C22⋊#168—32no—
151#3942—32no—
152#3941—32no—
153#3941—32no—
154#3941—32no—
155#3012—151noSylow
156C23×C3×C5C2×D412yes—
157C23×C3×C5C2×D411yescharacteristic
158C22×C5×D3—21no—
159C22×C3×D5—22no—
160C22×C3×D5—21no—
161C22×C3×D5—28no—
162C22×C3×D5—24no—
163C22×C3×D5—81no—
164C22×C3×D5—82no—
165C22×C3×D5—81no—
166C22×C3×D5—82no—
167C3×C5×Q8—22no—
168C3×C5×D4—24no—
169C3×C5×D4—22no—
170C2×C3×C4×C5—22no—
171C2×C3×C4×C5—22no—
172C2×C3×C4×C5C2×D412yes—
173C2×C3×C4×C5C2×D411yescharacteristic
174C2×C3×C4×C5C2×D412yes—
175C2×C3×C4×C5C2×D412yes—
176C2×C3×C4×C5C2411yescharacteristic
177C5×#67—42no—
178C5×#67—82no—
179C2×C5×Dic3—21no—
180C2×C5×Dic3—22no—
181C2×C5×Dic3—81no—
182C5×D12—21no—
183C5×D12—21no—
184C4×C5×D3—42no—
185C5×Dic6—21no—
186C5×Dic6—21no—
187C3×C22⋊D5—28no—
188C3×C22⋊D5—24no—
189C2×C3×Dic5—21no—
190C3×D20—28no—
191C3×D20—24no—
192C3×D20—21no—
193C3×D20—22no—
194C3×D20C2×D412yes—
195C3×D20C2×D414yes—
196C3×C4×D5—28no—
197C3×C4×D5—24no—
198C3×Dic10—21no—
199C3×Dic10C2×D412yes—
200C3⋊#168—21no—
201C3⋊#168—21no—
202C3⋊#168—22no—
203C3×H(5,𝔽2)—104no—
204C3×H(5,𝔽2)—104no—
205C2×C3×#41—51no—
206C2×C3×#41—52no—
207C2×C3×#41—101no—
208C2×C3×#41C2×D511yescharacteristic
209C22×C3×D4—51no—
210C22×C3×D4—52no—
211C22×C3×D4—101no—
212C22×C3×D4—102no—
213C2×#235C2×D511yescharacteristic, complemented
214#950—104no—
215#946—21no—
216C2×#216—51no—
217C2×#215—51no—
218#939—22no—
219#938—21no—
220C2×#214—51no—
221C2×#214—52no—
222#932—104no—
223C2×#213—51no—
224C2×#213—52no—
225#930C2×D512yescomplemented
226C2×C4⋊Dic3C2×D511yescharacteristic, complemented
227#924C2×D512yescomplemented
228C2×#208—51no—
229C22×C3⋊C8—51no—
230#835—52no—
231#832—52no—
232#832—52no—
233#832—52no—
234#830—52no—
235#830—52no—
236C23×D5—22no—
237C23×D5—21no—
238C5×#41—22no—
239C5×#41—22no—
240C5×#41—62no—
241C5×#41—62no—
242C2×C5×Q8—31no—
243C2×C5×Q8#6711yescharacteristic
244C2×C5×D4—31no—
245C2×C5×D4—61no—
246C2×C5×D4—62no—
247C2×C5×D4#6712yes—
248C2×C5×D4#6711yescharacteristic
249C22×C4×C5—61no—
250C22×C4×C5—61no—
251C22×C4×C5C22×D312yes—
252C22×C4×C5C22×D311yescharacteristic
253C2×C22⋊D5—22no—
254C2×C22⋊D5—21no—
255#713—28no—
256D4×D5—216no—
257D4×D5—28no—
258#709—22no—
259#709—24no—
260#709—24no—
261#709#6714yescomplemented
262C2×D20—22no—
263C2×D20—21no—
264C2×D20—22no—
265C2×D20—24no—
266C2×D20—24no—
267C2×D20#6714yescomplemented
268C2×D20C22×D311yescharacteristic
269C2×D20C22×D312yes—
270C2×C4×D5—22no—
271C2×C4×D5—21no—
272C2×Dic10C22×D311yescharacteristic
273C5×C4⋊C4—32no—
274C5×C4⋊C4—61no—
275C5×C4⋊C4—62no—
276C5×C22⋊C4—62no—
277C5×C22⋊C4—62no—
278#689—62no—
279#688—62no—
280#688—64no—
281#687—62no—
282#686—62no—
283#686—64no—
284#681—62no—
285C2×#168—31no—
286C2×#168—31no—
287C2×#168—32no—
288C2×#168—62no—
289C2×H(5,𝔽2)—51no—
290C2×AGL(1,ℤ/8)—151no—
291C2×#135—151no—
292#537—31no—
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—22no—
303C22×C3×C5—22no—
304C22×C3×C5—22no—
305C22×C3×C5#12012yes—
306C22×C3×C5C22×D411yescharacteristic
307C2×C5×D3—41no—
308C2×C5×D3—41no—
309C2×C5×D3—41no—
310C2×C3×D5—24no—
311C2×C3×D5—22no—
312C2×C3×D5—42no—
313C2×C3×D5—41no—
314C2×C3×D5—42no—
315C2×C3×D5—41no—
316C2×C3×D5—84no—
317C2×C3×D5—88no—
318C3×C4×C5—22no—
319C3×C4×C5#12012yes—
320C3×C4×C5C22×D411yescharacteristic
321C3×C4×C5C22×D411yescharacteristic
322C3×Dic5—22no—
323C5×Dic3—41no—
324C5×Dic3—42no—
325C24×C3—102no—
326C24×C3—101no—
327C3×#41—22no—
328C3×#41—22no—
329C3×#41—54no—
330C3×#41—104no—
331C3×#41—104no—
332C3×#41—108no—
333C3×#41—102no—
334C2×C3×Q8—51no—
335C2×C3×Q8C22⋊D511yescharacteristic
336C2×C3×D4—54no—
337C2×C3×D4—52no—
338C2×C3×D4—51no—
339C2×C3×D4—104no—
340C2×C3×D4—104no—
341C2×C3×D4—1016no—
342C2×C3×D4—108no—
343C2×C3×D4—102no—
344C2×C3×D4—101no—
345C2×C3×D4—102no—
346C2×C3×D4—102no—
347C2×C3×D4—101no—
348C2×C3×D4C22⋊D511yescharacteristic
349C2×C3×D4C22⋊D512yes—
350C22×C3×C4—102no—
351C22×C3×C4—101no—
352C22×C3×C4C22×D512yes—
353C22×C3×C4C22×D511yescharacteristic
354C2×#67—21no—
355C2×#67—22no—
356C22×Dic3—21no—
357#235—22no—
358#235—22no—
359C2×D12C22×D511yescharacteristic
360C2×C4×D3—21no—
361C2×Dic6C22×D511yescharacteristic
362#217—22no—
363#216—102no—
364#215—102no—
365#214—104no—
366#214—102no—
367#213—104no—
368#213—102no—
369(C2×D3)⋊C4—22no—
370C4⋊Dic3—21no—
371C4⋊Dic3C22×D512yes—
372Dic3⋊C4—22no—
373#208—102no—
374C2×C3⋊C8—51no—
375C2×C3⋊C8—51no—
376C2×C3⋊C8—52no—
377C2×C3⋊C8—102no—
378C23×C5—61no—
379C23×C5C2×#6712yes—
380C23×C5C2×#6711yescharacteristic
381C22×D5—22no—
382C22×D5—21no—
383C22×D5—28no—
384C22×D5—24no—
385C22×D5—81no—
386C22×D5—82no—
387C22×D5—81no—
388C22×D5—82no—
389C5×Q8—22no—
390C5×Q8—61no—
391C5×Q8—61no—
392C5×D4—24no—
393C5×D4—22no—
394C5×D4—61no—
395C5×D4—61no—
396C5×D4—122no—
397C5×D4—242no—
398C2×C4×C5—22no—
399C2×C4×C5—22no—
400C2×C4×C5—62no—
401C2×C4×C5—61no—
402C2×C4×C5—122no—
403C2×C4×C5—241no—
404C2×C4×C5C2×#6712yes—
405C2×C4×C5C2×#6711yescharacteristic
406C2×C4×C5C2×#6712yes—
407C2×C4×C5C2×#6712yes—
408C2×C4×C5C23×D311yescharacteristic
409C22⋊D5—28no—
410C22⋊D5—24no—
411C2×Dic5—21no—
412D20—28no—
413D20—24no—
414D20—21no—
415D20—22no—
416D20C2×#6712yes—
417D20C2×#6714yes—
418C4×D5—28no—
419C4×D5—24no—
420Dic10—21no—
421Dic10C2×#6712yes—
422#168—61no—
423#168—61no—
424#168—62no—
425H(5,𝔽2)—104no—
426H(5,𝔽2)—104no—
427C2×#41—31no—
428C2×#41—51no—
429C2×#41—52no—
430C2×#41—101no—
431C2×#41D3×D511yescharacteristic
432C22×D4—51no—
433C22×D4—52no—
434C22×D4—102no—
435C22×D4—101no—
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—151no—
446C22⋊Q8—32no—
447C22⋊Q8—61no—
448#121—32no—
449#121—61no—
450#121—62no—
451C2×C4⋊C4—31no—
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—42no—
460C2×C3×C5C2×#12011yescharacteristic
461C2×C3×C5#57611yescharacteristic
462C2×C3×C5#57711yescharacteristic
463C3×D5—44no—
464C3×D5—42no—
465C5×D3—81no—
466C23×C3—108no—
467C23×C3—102no—
468C23×C3—101no—
469C23×C3—104no—
470C23×C3—401no—
471C23×C3—401no—
472C23×C3—402no—
473C23×C3—402no—
474C23×C3C2×C22⋊D512yes—
475C23×C3C2×C22⋊D511yescharacteristic
476C22×D3—21no—
477C3×Q8—22no—
478C3×Q8—52no—
479C3×Q8—101no—
480C3×D4—24no—
481C3×D4—22no—
482C3×D4—54no—
483C3×D4—52no—
484C3×D4—108no—
485C3×D4—108no—
486C3×D4—104no—
487C3×D4—101no—
488C3×D4—102no—
489C3×D4—104no—
490C2×C3×C4—22no—
491C2×C3×C4—22no—
492C2×C3×C4—108no—
493C2×C3×C4—101no—
494C2×C3×C4—104no—
495C2×C3×C4D4×D512yes—
496C2×C3×C4D4×D512yes—
497C2×C3×C4C2×C22⋊D512yes—
498C2×C3×C4C2×C22⋊D511yescharacteristic
499C2×C3×C4C23×D511yescharacteristic
500#67—42no—
501#67—82no—
502C2×Dic3—21no—
503C2×Dic3—22no—
504C2×Dic3—81no—
505D12—21no—
506D12—21no—
507C4×D3—42no—
508Dic6—21no—
509Dic6—21no—
510C3⋊C8—101no—
511C3⋊C8—101no—
512C3⋊C8—102no—
513C22×C5—21no—
514C22×C5—21no—
515C22×C5—22no—
516C22×C5—22no—
517C22×C5—22no—
518C22×C5—121no—
519C22×C5—121no—
520C22×C5—121no—
521C22×C5#95312yes—
522C22×C5C22×#6711yescharacteristic
523C2×D5—24no—
524C2×D5—22no—
525C2×D5—42no—
526C2×D5—41no—
527C2×D5—42no—
528C2×D5—41no—
529C2×D5—84no—
530C2×D5—88no—
531C4×C5—22no—
532C4×C5—122no—
533C4×C5—121no—
534C4×C5#95312yes—
535C4×C5C22×#6711yescharacteristic
536C4×C5C22×#6711yescharacteristic
537Dic5—22no—
538C24—102no—
539C24—101no—
540#41—22no—
541#41—22no—
542#41—54no—
543#41—62no—
544#41—62no—
545#41—104no—
546#41—104no—
547#41—108no—
548#41—102no—
549C2×Q8—31no—
550C2×Q8—51no—
551C2×Q8#120111yescharacteristic
552C2×D4—31no—
553C2×D4—54no—
554C2×D4—52no—
555C2×D4—51no—
556C2×D4—61no—
557C2×D4—62no—
558C2×D4—104no—
559C2×D4—104no—
560C2×D4—1016no—
561C2×D4—108no—
562C2×D4—102no—
563C2×D4—101no—
564C2×D4—102no—
565C2×D4—101no—
566C2×D4—102no—
567C2×D4#120112yes—
568C2×D4#120111yescharacteristic
569C22×C4—61no—
570C22×C4—61no—
571C22×C4—102no—
572C22×C4—101no—
573C22×C4C2×D3×D512yes—
574C22×C4C2×D3×D511yescharacteristic
575Q16—302no—
576SD16—302no—
577SD16—304no—
578SD16—302no—
579D8—302no—
580D8—304no—
581M16—302no—
582C2×C8—151no—
583C2×C8—151no—
584C2×C8—152no—
585C2×C8—302no—
586C4⋊C4—32no—
587C4⋊C4—61no—
588C4⋊C4—62no—
589C22⋊C4—62no—
590C22⋊C4—62no—
591C3×C5#301211yescharacteristic, complemented, Hall
592C22×C3—21no—
593C22×C3—21no—
594C22×C3—22no—
595C22×C3—22no—
596C22×C3—22no—
597C22×C3—104no—
598C22×C3—102no—
599C22×C3—202no—
600C22×C3—201no—
601C22×C3—202no—
602C22×C3—201no—
603C22×C3—404no—
604C22×C3—408no—
605C22×C3#408312yes—
606C22×C3C22×C22⋊D511yescharacteristic
607C2×D3—41no—
608C2×D3—41no—
609C2×D3—41no—
610C3×C4—22no—
611C3×C4—102no—
612C3×C4#408312yes—
613C3×C4C2×D4×D511yescharacteristic
614C3×C4C2×D4×D511yescharacteristic
615Dic3—41no—
616Dic3—42no—
617C2×C5—22no—
618C2×C5—42no—
619C2×C5—241no—
620C2×C5#583511yescharacteristic
621C2×C5#583611yescharacteristic
622C2×C5C2×#95311yescharacteristic
623D5—44no—
624D5—42no—
625C23—61no—
626C23—108no—
627C23—102no—
628C23—101no—
629C23—104no—
630C23—401no—
631C23—401no—
632C23—402no—
633C23—402no—
634C23C2×#120112yes—
635C23C2×#120111yescharacteristic
636Q8—22no—
637Q8—52no—
638Q8—61no—
639Q8—61no—
640Q8—101no—
641D4—24no—
642D4—22no—
643D4—54no—
644D4—52no—
645D4—61no—
646D4—61no—
647D4—108no—
648D4—108no—
649D4—104no—
650D4—101no—
651D4—102no—
652D4—104no—
653D4—122no—
654D4—242no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—62no—
658C2×C4—61no—
659C2×C4—108no—
660C2×C4—101no—
661C2×C4—104no—
662C2×C4—122no—
663C2×C4—241no—
664C2×C4C2×#120112yes—
665C2×C4C2×#120111yescharacteristic
666C2×C4D5×#6712yes—
667C2×C4D5×#6712yes—
668C2×C4C22×D3×D511yescharacteristic
669C8—301no—
670C8—301no—
671C8—302no—
672C2×C3—22no—
673C2×C3—42no—
674C2×C3—204no—
675C2×C3—202no—
676C2×C3C2×#408311yescharacteristic
677C2×C3#6616911yescharacteristic
678C2×C3#6617111yescharacteristic
679D3—81no—
680C5#8410211yescharacteristic, complemented, Sylow
681C22—21no—
682C22—21no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22—104no—
687C22—102no—
688C22—121no—
689C22—121no—
690C22—121no—
691C22—202no—
692C22—201no—
693C22—202no—
694C22—201no—
695C22—404no—
696C22—408no—
697C22#9156312yes—
698C22C22×#120111yescharacteristic
699C4—22no—
700C4—102no—
701C4—122no—
702C4—121no—
703C4#9156312yes—
704C4C2×D5×#6711yescharacteristic
705C4C2×D5×#6711yescharacteristic
706C3#1061515511yescharacteristic, complemented, Sylow
707C2—22no—
708C2—42no—
709C2—204no—
710C2—202no—
711C2—241no—
712C2#1175530111yescharacteristic
713C2#1175530311yescharacteristic
714C2C2×#9156311yescharacteristic
subgroupG/H
centerC22C22×#1201
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 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×C3×#4149C2semidirect
2. C5×#5833C2semidirect
3. C2×#91298C2semidirect
4. C2×#91297C2semidirect
5. #11751335C2semidirect
6. #11748528C2semidirect
7. #11748527C2semidirect
8. #11748511C2semidirect
9. #11748510C2semidirect
10. #11748368C2semidirect
11. C2×#90964C2semidirect
14. C2×C5×#235C22semidirect
24. C2×#6710C22semidirect
25. C22×C3⋊#168C22semidirect
29. C5×#930C22semidirect
30. C2×C5×C4⋊Dic3C22semidirect
31. C5×#924C22semidirect
32. C2×#6661C22semidirect
33. C2×#6656C22semidirect
34. C2×#6655C22semidirect
35. C2×#6655C22semidirect
38. C2×#6652C22semidirect
39. C2×#6652C22semidirect
40. #91114C22semidirect
41. #91114C22semidirect
42. #90970C22semidirect
43. #90964C22semidirect
44. #90964C22semidirect
45. #90964C22semidirect
47. C2×#4149D3semidirect
83. C3×#709D4semidirect
89. C2×C3×D20D4semidirect
112. #5833D5semidirect
213. C2×#235C2×D5semidirect
225. #930C2×D5semidirect
226. C2×C4⋊Dic3C2×D5semidirect
227. #924C2×D5semidirect
261. #709#67semidirect
267. C2×D20#67semidirect
591. C3×C5#3012semidirect
680. C5#84102semidirect
706. C3#10615155semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#41492
C5×#58332
C2×#912982
C2×#912972
#117513352
#117485282
#117485272
#117485112
#117485102
#117483682
C2×#909642
#106151553
#841025