Finite Group Databasebeta

← C2×#11749415 #14425047

Subgroups — C2×#11749415 #14425047

Order 1920.

1520 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#4149C211yesmaximal, characteristic
2C2×C5×#951C211yesmaximal, characteristic, complemented
3C2×#91368C211yesmaximal, characteristic, complemented
4C2×#91307C211yesmaximal, characteristic, complemented
5C2×#91121C211yesmaximal, characteristic, complemented
6#11749415C218yesmaximal, direct product factor
7C2×#90976C211yesmaximal, characteristic, complemented
8C2×#90958C211yesmaximal, characteristic, complemented
9C2×#65491—31nomaximal, Hall
10C2×C3×C5×#41C2211yescharacteristic
11C22×C5×Dic6C2211yescharacteristic, complemented
12C3×#4149—22no—
13C3×#4149—22no—
14C3×#4149—22no—
15C3×#4149C2214yes—
16C2×C3×#713—21no—
17C2×C3×D4×D5—22no—
18C2×C3×D4×D5—21no—
19C2×C3×#709—21no—
20C2×C3×#709C2211yescharacteristic
21C22×C3×D20—21no—
22C22×C3×D20C2211yescharacteristic
23C2×C4×Dic15C2211yescharacteristic, complemented
24C2×#6710C2211yescharacteristic, complemented
25C5×#951—22no—
26C5×#951C2214yescomplemented
27C2×C5×#216—21no—
28C2×C5×#214—21no—
29C2×C5×#208C2211yescharacteristic, complemented
30C2×#6665—22no—
31#91368—22no—
32#91368C2214yescomplemented
33C2×#6661—21no—
34#91307—22no—
35#91307C2214yescomplemented
36C2×#6655—21no—
37#91121C2214yescomplemented
38#90976C2214yescomplemented
39#90958C2214yescomplemented
40C2×#5242—51nomaximal, Hall
41C2×#4149D311yescharacteristic
42C2×C5×#137—31no—
43C2×#4093—31no—
44C2×#4088—31no—
45C2×#3969—31no—
46#65491—38no—
47C2×#3957—31no—
48C2×#3955—31no—
49C23×C3×D5—22no—
50C23×C3×D5D412yes—
51C3×C5×#41—21no—
52C3×C5×#41—21no—
53C3×C5×#41D412yes—
54C3×C5×#41C2312yes—
55C2×C3×C5×Q8D411yescharacteristic
56C2×C3×C5×D4—21no—
57C2×C3×C5×D4D411yescharacteristic
58C22×C3×C4×C5—21no—
59C22×C3×C4×C5C2311yescharacteristic
60C22×Dic15—21no—
61C22×C5×Dic3—21no—
62C2×C5×Dic6—21no—
63C2×C5×Dic6—21no—
64C2×C5×Dic6—21no—
65C2×C5×Dic6—21no—
66C2×C5×Dic6—21no—
67C2×C5×Dic6C2312yescomplemented
68C2×C3×C22⋊D5—22no—
69C2×C3×C22⋊D5—21no—
70C3×#713—24no—
71C3×#713—24no—
72C3×D4×D5—28no—
73C3×D4×D5—24no—
74C3×D4×D5—28no—
75C3×D4×D5—24no—
76C3×#709—24no—
77C3×#709—21no—
78C3×#709—21no—
79C3×#709—24no—
80C3×#709D412yes—
81C3×#709C2312yes—
82C2×C3×D20—22no—
83C2×C3×D20—24no—
84C2×C3×D20—21no—
85C2×C3×D20—21no—
86C2×C3×D20—21no—
87C2×C3×D20—21no—
88C2×C3×D20—24no—
89C2×C3×D20D412yes—
90C2×C3×D20D411yescharacteristic
91C2×C3×D20C2312yes—
92C2×C3×C4×D5—22no—
93C2×C3×C4×D5—21no—
94C2×C3×Dic10D411yescharacteristic
95C4×Dic15—21no—
96C4×Dic15C2312yescomplemented
97#6710—21no—
98#6710C2312yescomplemented
99C2×C3⋊#168—21no—
100C5×#216—24no—
101C5×#214—24no—
102C5×#208—21no—
103C5×#208C2312yescomplemented
104C2×C5×C3⋊C8—21no—
105#6665—28no—
106#6661—24no—
107#6655—24no—
108C2×C3×H(5,𝔽2)—51no—
109C2×#951—51no—
110C2×#951D511yescharacteristic, complemented
111C2×#936—51no—
112#5242—58no—
113C2×#837—51no—
114C2×#837—51no—
115C2×#833—51no—
116C2×C5×#41C2×D311yescharacteristic
117C22×C5×Q8—31no—
118#4149—22no—
119#4149—22no—
120#4149—22no—
121#4149C2×D314yes—
122C2×#713—21no—
123C2×D4×D5—22no—
124C2×D4×D5—21no—
125C2×#709—21no—
126C2×#709C2×D311yescharacteristic
127C22×D20—21no—
128C22×D20C2×D311yescharacteristic
129C5×#137—34no—
130C5×#137—62no—
131C2×C5×Q16—61no—
132C2×C5×SD16—61no—
133C2×C5×M16—31no—
134#4093—34no—
135#4093—62no—
136C2×#689—61no—
137#4088—34no—
138#4088—62no—
139C2×#688—61no—
140C2×#685—62no—
141C2×C4×Dic5—31no—
142C2×#681—31no—
143#3969—34no—
144#3957—34no—
145#3955—34no—
146C2×#455—151noSylow
147C23×C3×C5—21no—
148C23×C3×C5C2×D411yescharacteristic
149C22×C3×D5—22no—
150C22×C3×D5—21no—
151C22×C3×D5—28no—
152C22×C3×D5—22no—
153C22×C3×D5—44no—
154C22×C3×D5—84no—
155C22×C3×D5C2×D414yes—
156C3×C5×Q8—21no—
157C3×C5×Q8C2×D412yes—
158C3×C5×D4—22no—
159C3×C5×D4—22no—
160C3×C5×D4—21no—
161C3×C5×D4C2×D412yes—
162C2×C3×C4×C5—21no—
163C2×C3×C4×C5—22no—
164C2×C3×C4×C5—22no—
165C2×C3×C4×C5C2×D411yescharacteristic
166C2×C3×C4×C5C2×D411yescharacteristic
167C2×C3×C4×C5C2×D411yescharacteristic
168C2×C3×C4×C5C2×D411yescharacteristic
169C2×C3×C4×C5C2×D411yescharacteristic
170C2×C3×C4×C5C2411yescharacteristic
171C2×Dic15—22no—
172C2×Dic15—42no—
173C2×C5×Dic3—22no—
174C2×C5×Dic3—41no—
175C2×C5×Dic3—41no—
176C5×Dic6—22no—
177C5×Dic6—22no—
178C5×Dic6—41no—
179C5×Dic6—41no—
180C3×C22⋊D5—28no—
181C3×C22⋊D5—22no—
182C3×C22⋊D5—22no—
183C2×C3×Dic5—21no—
184C3×D20—28no—
185C3×D20—22no—
186C3×D20—21no—
187C3×D20—22no—
188C3×D20—22no—
189C3×D20—22no—
190C3×D20C2×D412yes—
191C3×C4×D5—28no—
192C3×C4×D5—22no—
193C3×C4×D5—22no—
194C3×Dic10—21no—
195C3×Dic10C2×D412yes—
196C3⋊#168—22no—
197C5×C3⋊C8—22no—
198C3×H(5,𝔽2)—54no—
199C3×H(5,𝔽2)—102no—
200C3×H(5,𝔽2)—102no—
201C3×H(5,𝔽2)—102no—
202C2×C3×#41—51no—
203C2×C3×#41—101no—
204C2×C3×#41—101no—
205C2×C3×#41C2×D511yescharacteristic
206C22×C3×D4—51no—
207C22×C3×D4—101no—
208C22×C3×D4—102no—
209C22×C3×D4—101no—
210C22×Dic6C2×D511yescharacteristic, complemented
211C2×#217—102no—
212#951—22no—
213#951—54no—
214#951—102no—
215#951C2×D514yescomplemented
216C2×#216—21no—
217C2×#216—101no—
218#936—54no—
219#936—102no—
220C2×#214—21no—
221C2×#214—101no—
222C2×C4×Dic3—51no—
223C2×#208—51no—
224C2×#208C2×D511yescharacteristic, complemented
225#837—54no—
226#837—54no—
227#833—54no—
228C23×D5—22no—
229C23×D5#6712yes—
230C5×#41—21no—
231C5×#41—21no—
232C5×#41#6712yes—
233C5×#41C22×D312yes—
234C2×C5×Q8—32no—
235C2×C5×Q8—61no—
236C2×C5×Q8—61no—
237C2×C5×Q8—61no—
238C2×C5×Q8—61no—
239C2×C5×Q8—61no—
240C2×C5×Q8#6711yescharacteristic
241C2×C5×D4—21no—
242C2×C5×D4#6711yescharacteristic
243C22×C4×C5—21no—
244C22×C4×C5—61no—
245C22×C4×C5C22×D311yescharacteristic
246C2×C22⋊D5—22no—
247C2×C22⋊D5—21no—
248C22×Dic5—61no—
249#713—24no—
250#713—24no—
251D4×D5—28no—
252D4×D5—24no—
253D4×D5—28no—
254D4×D5—24no—
255#709—24no—
256#709—21no—
257#709—21no—
258#709—24no—
259#709#6712yes—
260#709C22×D312yes—
261C2×D20—22no—
262C2×D20—24no—
263C2×D20—21no—
264C2×D20—21no—
265C2×D20—21no—
266C2×D20—21no—
267C2×D20—24no—
268C2×D20#6712yes—
269C2×D20#6711yescharacteristic
270C2×D20C22×D312yes—
271C2×C4×D5—22no—
272C2×C4×D5—21no—
273C2×Dic10#6711yescharacteristic
274C5×Q16—64no—
275C5×SD16—64no—
276C5×M16—32no—
277C5×M16—61no—
278C2×C5×C8—61no—
279#689—64no—
280#688—64no—
281#685—68no—
282C4×Dic5—32no—
283C4×Dic5—61no—
284#681—32no—
285#681—61no—
286C2×#168—61no—
287C2×H(5,𝔽2)—51no—
288C2×#137—31no—
289C2×#137—151no—
290C2×#124—151no—
291#455—158no—
292C2×#104—151no—
293C2×#104—151no—
294C2×#100—151no—
295C22×C3×C5—22no—
296C22×C3×C5—22no—
297C22×C3×C5—42no—
298C22×C3×C5#12011yescharacteristic
299C22×C3×C5#12011yescharacteristic
300C22×C3×C5C22×D411yescharacteristic
301C2×C3×D5—24no—
302C2×C3×D5—22no—
303C2×C3×D5—44no—
304C2×C3×D5—42no—
305C2×C3×D5—44no—
306C2×C3×D5—82no—
307C2×C3×D5—88no—
308C3×C4×C5—22no—
309C3×C4×C5#12011yescharacteristic
310C3×C4×C5#12011yescharacteristic
311C3×C4×C5C22×D411yescharacteristic
312C3×C4×C5C22×D411yescharacteristic
313Dic15—42no—
314C3×Dic5—22no—
315C5×Dic3—42no—
316C24×C3—52no—
317C24×C3—102no—
318C3×#41—21no—
319C3×#41—21no—
320C3×#41—52no—
321C3×#41—52no—
322C3×#41—104no—
323C3×#41—104no—
324C3×#41—104no—
325C3×#41—104no—
326C3×#41—101no—
327C3×#41—101no—
328C3×#41C22⋊D512yes—
329C3×#41C22×D512yes—
330C2×C3×Q8—51no—
331C2×C3×Q8C22⋊D511yescharacteristic
332C2×C3×D4—21no—
333C2×C3×D4—51no—
334C2×C3×D4—52no—
335C2×C3×D4—52no—
336C2×C3×D4—104no—
337C2×C3×D4—102no—
338C2×C3×D4—104no—
339C2×C3×D4—108no—
340C2×C3×D4—108no—
341C2×C3×D4—104no—
342C2×C3×D4—102no—
343C2×C3×D4—101no—
344C2×C3×D4—104no—
345C2×C3×D4—101no—
346C2×C3×D4—101no—
347C2×C3×D4—101no—
348C2×C3×D4—101no—
349C2×C3×D4C22⋊D511yescharacteristic
350C22×C3×C4—21no—
351C22×C3×C4—102no—
352C22×C3×C4—101no—
353C22×C3×C4C22×D511yescharacteristic
354C22×Dic3—21no—
355C22×Dic3—101no—
356C2×Dic6—21no—
357C2×Dic6—21no—
358C2×Dic6—21no—
359C2×Dic6—21no—
360C2×Dic6—21no—
361C2×Dic6C22×D512yescomplemented
362#217—108no—
363#216—24no—
364#216—104no—
365#214—24no—
366#214—104no—
367C4×Dic3—52no—
368C4×Dic3—101no—
369#208—21no—
370#208—52no—
371#208—101no—
372#208C22×D512yescomplemented
373C2×C3⋊C8—21no—
374C2×C3⋊C8—101no—
375C23×C5—21no—
376C23×C5C2×#6711yescharacteristic
377C22×D5—22no—
378C22×D5—21no—
379C22×D5—28no—
380C22×D5—22no—
381C22×D5—44no—
382C22×D5—84no—
383C22×D5C2×#6714yes—
384C5×Q8—21no—
385C5×Q8—62no—
386C5×Q8—62no—
387C5×Q8—121no—
388C5×Q8—121no—
389C5×Q8C2×#6712yes—
390C5×D4—22no—
391C5×D4—22no—
392C5×D4—21no—
393C5×D4C2×#6712yes—
394C2×C4×C5—21no—
395C2×C4×C5—22no—
396C2×C4×C5—22no—
397C2×C4×C5—62no—
398C2×C4×C5—121no—
399C2×C4×C5—121no—
400C2×C4×C5C2×#6711yescharacteristic
401C2×C4×C5C2×#6711yescharacteristic
402C2×C4×C5C2×#6711yescharacteristic
403C2×C4×C5C2×#6711yescharacteristic
404C2×C4×C5C2×#6711yescharacteristic
405C2×C4×C5C23×D311yescharacteristic
406C22⋊D5—28no—
407C22⋊D5—22no—
408C22⋊D5—22no—
409C2×Dic5—21no—
410C2×Dic5—62no—
411C2×Dic5—122no—
412D20—28no—
413D20—22no—
414D20—21no—
415D20—22no—
416D20—22no—
417D20—22no—
418D20C2×#6712yes—
419C4×D5—28no—
420C4×D5—22no—
421C4×D5—22no—
422Dic10—21no—
423Dic10C2×#6712yes—
424C5×C8—62no—
425#168—62no—
426H(5,𝔽2)—54no—
427H(5,𝔽2)—102no—
428H(5,𝔽2)—102no—
429H(5,𝔽2)—102no—
430C2×#41—51no—
431C2×#41—101no—
432C2×#41—101no—
433C2×#41D3×D511yescharacteristic
434C22×Q8—31no—
435C22×D4—51no—
436C22×D4—101no—
437C22×D4—102no—
438C22×D4—101no—
439#137—34no—
440#137—62no—
441#137—154no—
442#137—302no—
443C2×Q16—61no—
444C2×Q16—301no—
445C2×SD16—61no—
446C2×SD16—301no—
447C2×M16—31no—
448C2×M16—151no—
449#124—154no—
450#124—302no—
451C2×C22⋊C4—302no—
452C2×C42—151no—
453#104—154no—
454#104—154no—
455#100—154no—
456C2×C3×C5—21no—
457C2×C3×C5—21no—
458C2×C3×C5—42no—
459C2×C3×C5#45512yescomplemented
460C2×C3×C5C2×#12011yescharacteristic
461C3×D5—44no—
462C3×D5—42no—
463C23×C3—21no—
464C23×C3—54no—
465C23×C3—108no—
466C23×C3—101no—
467C23×C3—102no—
468C23×C3—102no—
469C23×C3—204no—
470C23×C3—404no—
471C23×C3D4×D511yescharacteristic
472C3×Q8—21no—
473C3×Q8—52no—
474C3×Q8—101no—
475C3×Q8C2×C22⋊D512yes—
476C3×D4—22no—
477C3×D4—22no—
478C3×D4—21no—
479C3×D4—52no—
480C3×D4—108no—
481C3×D4—108no—
482C3×D4—102no—
483C3×D4—102no—
484C3×D4—102no—
485C3×D4—102no—
486C3×D4—101no—
487C3×D4—102no—
488C3×D4—102no—
489C3×D4C2×C22⋊D512yes—
490C2×C3×C4—21no—
491C2×C3×C4—22no—
492C2×C3×C4—22no—
493C2×C3×C4—108no—
494C2×C3×C4—101no—
495C2×C3×C4—102no—
496C2×C3×C4—102no—
497C2×C3×C4D4×D511yescharacteristic
498C2×C3×C4D4×D511yescharacteristic
499C2×C3×C4D4×D511yescharacteristic
500C2×C3×C4C2×C22⋊D511yescharacteristic
501C2×C3×C4C2×C22⋊D511yescharacteristic
502C2×C3×C4C23×D511yescharacteristic
503C2×Dic3—22no—
504C2×Dic3—41no—
505C2×Dic3—41no—
506C2×Dic3—102no—
507C2×Dic3—202no—
508Dic6—22no—
509Dic6—22no—
510Dic6—41no—
511Dic6—41no—
512C3⋊C8—22no—
513C3⋊C8—102no—
514C22×C5—22no—
515C22×C5—22no—
516C22×C5—42no—
517C22×C5#95311yescharacteristic
518C22×C5#95311yescharacteristic
519C22×C5C22×#6711yescharacteristic
520C2×D5—24no—
521C2×D5—22no—
522C2×D5—44no—
523C2×D5—42no—
524C2×D5—44no—
525C2×D5—82no—
526C2×D5—88no—
527C4×C5—22no—
528C4×C5—122no—
529C4×C5#95311yescharacteristic
530C4×C5#95311yescharacteristic
531C4×C5C22×#6711yescharacteristic
532C4×C5C22×#6711yescharacteristic
533Dic5—22no—
534Dic5—122no—
535C24—52no—
536C24—102no—
537#41—21no—
538#41—21no—
539#41—52no—
540#41—52no—
541#41—104no—
542#41—104no—
543#41—104no—
544#41—104no—
545#41—101no—
546#41—101no—
547#41#120112yes—
548#41C2×D3×D512yes—
549C2×Q8—32no—
550C2×Q8—51no—
551C2×Q8—61no—
552C2×Q8—61no—
553C2×Q8—61no—
554C2×Q8—61no—
555C2×Q8—61no—
556C2×Q8#120111yescharacteristic
557C2×D4—21no—
558C2×D4—51no—
559C2×D4—52no—
560C2×D4—52no—
561C2×D4—104no—
562C2×D4—102no—
563C2×D4—104no—
564C2×D4—108no—
565C2×D4—108no—
566C2×D4—104no—
567C2×D4—102no—
568C2×D4—101no—
569C2×D4—104no—
570C2×D4—101no—
571C2×D4—101no—
572C2×D4—101no—
573C2×D4—101no—
574C2×D4#120111yescharacteristic
575C22×C4—21no—
576C22×C4—61no—
577C22×C4—102no—
578C22×C4—101no—
579C22×C4—301no—
580C22×C4C2×D3×D511yescharacteristic
581Q16—64no—
582Q16—304no—
583SD16—64no—
584SD16—304no—
585M16—32no—
586M16—61no—
587M16—152no—
588M16—301no—
589C2×C8—61no—
590C2×C8—301no—
591C22⋊C4—308no—
592C42—152no—
593C42—301no—
594C3×C5C2×#45511yescharacteristic, complemented, Hall
595C22×C3—22no—
596C22×C3—22no—
597C22×C3—42no—
598C22×C3—102no—
599C22×C3—104no—
600C22×C3—204no—
601C22×C3—204no—
602C22×C3—202no—
603C22×C3—402no—
604C22×C3—408no—
605C22×C3#408311yescharacteristic
606C22×C3#408311yescharacteristic
607C22×C3C2×D4×D511yescharacteristic
608C3×C4—22no—
609C3×C4—102no—
610C3×C4#408311yescharacteristic
611C3×C4#408311yescharacteristic
612C3×C4C2×D4×D511yescharacteristic
613C3×C4C22×C22⋊D511yescharacteristic
614Dic3—42no—
615Dic3—202no—
616C2×C5—21no—
617C2×C5—21no—
618C2×C5—42no—
619C2×C5#524212yescomplemented
620C2×C5C2×#95311yescharacteristic
621D5—44no—
622D5—42no—
623C23—21no—
624C23—54no—
625C23—108no—
626C23—101no—
627C23—102no—
628C23—102no—
629C23—204no—
630C23—404no—
631C23D5×#6711yescharacteristic
632Q8—21no—
633Q8—52no—
634Q8—62no—
635Q8—62no—
636Q8—101no—
637Q8—121no—
638Q8—121no—
639Q8C2×#120112yes—
640D4—22no—
641D4—22no—
642D4—21no—
643D4—52no—
644D4—108no—
645D4—108no—
646D4—102no—
647D4—102no—
648D4—102no—
649D4—102no—
650D4—101no—
651D4—102no—
652D4—102no—
653D4C2×#120112yes—
654C2×C4—21no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—62no—
658C2×C4—108no—
659C2×C4—101no—
660C2×C4—102no—
661C2×C4—102no—
662C2×C4—121no—
663C2×C4—121no—
664C2×C4—302no—
665C2×C4—602no—
666C2×C4C2×#120111yescharacteristic
667C2×C4C2×#120111yescharacteristic
668C2×C4D5×#6711yescharacteristic
669C2×C4D5×#6711yescharacteristic
670C2×C4D5×#6711yescharacteristic
671C2×C4C22×D3×D511yescharacteristic
672C8—62no—
673C8—302no—
674C2×C3—21no—
675C2×C3—21no—
676C2×C3—42no—
677C2×C3—204no—
678C2×C3—202no—
679C2×C3#6549112yescomplemented
680C2×C3C2×#408311yescharacteristic
681C5C2×#524211yescharacteristic, complemented, Sylow
682C22—22no—
683C22—22no—
684C22—42no—
685C22—102no—
686C22—104no—
687C22—204no—
688C22—204no—
689C22—202no—
690C22—402no—
691C22—408no—
692C22#9156311yescharacteristic
693C22#9156311yescharacteristic
694C22C2×D5×#6711yescharacteristic
695C4—22no—
696C4—102no—
697C4—122no—
698C4—602no—
699C4#9156311yescharacteristic
700C4#9156311yescharacteristic
701C4C22×#120111yescharacteristic
702C4C2×D5×#6711yescharacteristic
703C3C2×#6549111yescharacteristic, complemented, Sylow
704C2—21no—
705C2—21no—
706C2—42no—
707C2—204no—
708C2—202no—
709C2#1174941512yesdirect product factor
710C2C2×#9156311yescharacteristic
subgroupG/H
centerC22#91563
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×#41C22
socleC22×C3×C5#120
prime radicalC2×C3×#4149C2
hypercenterC2×#41D3×D5
hypocenterC3×C5C2×#455
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
2. C2×C5×#951C2semidirect
3. C2×#91368C2semidirect
4. C2×#91307C2semidirect
5. C2×#91121C2semidirect
6. #11749415C2direct (N × H)
7. C2×#90976C2semidirect
8. C2×#90958C2semidirect
11. C22×C5×Dic6C22semidirect
23. C2×C4×Dic15C22semidirect
24. C2×#6710C22semidirect
26. C5×#951C22semidirect
29. C2×C5×#208C22semidirect
32. #91368C22semidirect
35. #91307C22semidirect
37. #91121C22semidirect
38. #90976C22semidirect
39. #90958C22semidirect
67. C2×C5×Dic6C23semidirect
96. C4×Dic15C23semidirect
98. #6710C23semidirect
103. C5×#208C23semidirect
110. C2×#951D5semidirect
210. C22×Dic6C2×D5semidirect
215. #951C2×D5semidirect
224. C2×#208C2×D5semidirect
361. C2×Dic6C22×D5semidirect
372. #208C22×D5semidirect
459. C2×C3×C5#455semidirect
594. C3×C5C2×#455semidirect
619. C2×C5#5242semidirect
679. C2×C3#65491semidirect
681. C5C2×#5242semidirect
703. C3C2×#65491semidirect
709. C2#11749415direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#41492
C2×C5×#9512
C2×#913682
C2×#913072
C2×#911212
#117494152
C2×#909762
C2×#909582
C2×#654913
C2×#52425