Finite Group Databasebeta

← #13089001

Subgroups — #13089001

Order 1440.

718 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
1#10624235C211yesmaximal, characteristic, complemented
2#67×D15C211yesmaximal, characteristic, complemented
3#10624207C211yesmaximal, characteristic, complemented
4C5×#3804C211yesmaximal, characteristic, complemented
5D5×#638C211yesmaximal, characteristic, complemented
6C3×D5×#67C211yesmaximal, characteristic, complemented
7C2×C3×#1202C211yesmaximal, characteristic, complemented
8#10624047C211yesmaximal, characteristic, complemented
9#10624045C211yesmaximal, characteristic, complemented
10#10624044C211yesmaximal, characteristic, complemented
11#10624042C211yesmaximal, characteristic, complemented
12#10624031C211yesmaximal, characteristic, complemented
13#10624030C211yesmaximal, characteristic, complemented
14#10624028C211yesmaximal, characteristic, complemented
15D3×#1202C211yesmaximal, characteristic, complemented
16#92026—31nomaximal
17#92017—31nomaximal
18C22×C3×D15C2211yescharacteristic, complemented
19C22×C32×D5C2211yescharacteristic, complemented
20C2×(C3⋊D3)⋊D5C2211yescharacteristic, complemented
21C2×D3×D15C2211yescharacteristic, complemented
22C2×D5×C3⋊D3C2211yescharacteristic, complemented
23C2×C3×D3×D5C2211yescharacteristic, complemented
24#67184C2211yescharacteristic, complemented
25C5×#638C2211yescharacteristic, complemented
26C3×#1220C2211yescharacteristic, complemented
27C3×C5×#67C2211yescharacteristic, complemented
28C2×C3×C5×Dic3C2211yescharacteristic, complemented
29#67157C2211yescharacteristic, complemented
30#67156C2211yescharacteristic, complemented
31#67154C2211yescharacteristic, complemented
32#67153C2211yescharacteristic, complemented
33#67151C2211yescharacteristic, complemented
34#67151C2211yescharacteristic, complemented
35#67150C2211yescharacteristic, complemented
36#67149C2211yescharacteristic, complemented
37Dic3×D15C2211yescharacteristic, complemented
38Dic3×D15C2211yescharacteristic, complemented
39C5×#627C2211yescharacteristic, complemented
40C5×#626C2211yescharacteristic, complemented
41C5×#624C2211yescharacteristic, complemented
42C5×D3×Dic3C2211yescharacteristic, complemented
43#67139C2211yescharacteristic, complemented
44#67138C2211yescharacteristic, complemented
45D5×C3⋊Dic3C2211yescharacteristic, complemented
46C3×#1202C2211yescharacteristic, complemented
47C3×#1202C2211yescharacteristic, complemented
48C3×#1202C2211yescharacteristic, complemented
49C3×#1202C2211yescharacteristic, complemented
50C3×#1202C2211yescharacteristic, complemented
51C3×#1201C2211yescharacteristic, complemented
52C3×D5×Dic3C2211yescharacteristic, complemented
53#64330—51nomaximal, Hall
54D4×D15—31no—
55#6817—31no—
56C5×#237—31no—
57C5×#235—31no—
58C3×D4×D5—31no—
59C2×C3×D20—31no—
60#6790—31no—
61#6790—31no—
62D5×#67—31no—
63D5×#67—31no—
64D5×#67—31no—
65D5×#67—31no—
66D5×#67—31no—
67D5×#67—61no—
68D5×#67D311yescharacteristic, complemented
69C2×#1202—31no—
70C2×#1202D311yescharacteristic, complemented
71#6779—31no—
72#6779—31no—
73#6777—31no—
74#6777—31no—
75D3×D20—31no—
76D3×D20—31no—
77D3×D20—31no—
78#6773—31no—
79#6771—31no—
80#6766—31no—
81#6766—31no—
82#6766—31no—
83#6765—31no—
84#6765—31no—
85C22×C32×C5C2311yescharacteristic
86C2×C3⋊D15C2311yescharacteristic
87C2×C5×C3⋊D3C2311yescharacteristic
88C2×C3×D15—41no—
89C2×C3×D15C2311yescharacteristic
90C2×C3×D15C2311yescharacteristic
91C2×C3×D15C2311yescharacteristic
92C2×C3×C5×D3C2311yescharacteristic
93C2×C32×D5—41no—
94C2×C32×D5C2311yescharacteristic
95C2×C32×D5C2311yescharacteristic
96(C3⋊D3)⋊D5—41no—
97D3×D15—41no—
98D5×C3⋊D3—41no—
99C3×D3×D5—41no—
100C3⋊Dic15C2311yescharacteristic
101C5×C3⋊Dic3C2311yescharacteristic
102C3×Dic15C2311yescharacteristic
103C3×C5×Dic3C2311yescharacteristic
104C3×C5×Dic3C2311yescharacteristic
105C3×C5×Dic3C2311yescharacteristic
106#4149—91noHall
107C2×#638—51no—
108C2×C3×#67—51no—
109C2×C3×#67—51no—
110#3811—51no—
111#3811—51no—
112D3×#67—51no—
113D3×#67—51no—
114D3×#67—51no—
115D3×#67—51no—
116#3805—51no—
117#3805—51no—
118#3804—51no—
119#3804—51no—
120#3804—51no—
121#3804D511yescharacteristic, complemented
122C22×D15—31no—
123C22×D15C2×D311yescharacteristic, complemented
124C22×C3×D5—21no—
125C22×C3×D5—31no—
126C22×C3×D5—31no—
127C22×C3×D5C2×D311yescharacteristic, complemented
128C22×C3×D5C2×D311yescharacteristic, complemented
129C2×D3×D5—31no—
130C2×D3×D5—31no—
131C2×D3×D5—31no—
132C2×D3×D5—31no—
133C2×D3×D5—31no—
134C2×D3×D5—61no—
135C2×D3×D5C2×D311yescharacteristic, complemented
136C3×C5×D4—31no—
137C2×C3×C4×C5—31no—
138#1220—31no—
139#1220—31no—
140#1220—31no—
141#1220—61no—
142#1220C2×D311yescharacteristic, complemented
143D60—31no—
144D60—31no—
145C4×D15—31no—
146C4×D15—31no—
147C4×D15—31no—
148Dic30—31no—
149C5×#67—31no—
150C5×#67—31no—
151C5×#67—31no—
152C5×#67—61no—
153C5×#67C2×D311yescharacteristic, complemented
154C2×C5×Dic3—31no—
155C2×C5×Dic3C2×D311yescharacteristic, complemented
156C5×D12—31no—
157C4×C5×D3—31no—
158C4×C5×D3—31no—
159C4×C5×D3—31no—
160C5×Dic6—31no—
161C5×Dic6—31no—
162C3×C22⋊D5—31no—
163C3×C22⋊D5—31no—
164C3×D20—31no—
165C3×D20—31no—
166C3×D20—31no—
167C3×D20—31no—
168C3×D20—31no—
169C3×C4×D5—31no—
170#1204—31no—
171#1203—31no—
172#1202—31no—
173#1202—31no—
174#1202—31no—
175#1202—31no—
176#1202—31no—
177#1202—31no—
178#1202—61no—
179#1202C2×D311yescharacteristic, complemented
180#1202C2×D311yescharacteristic, complemented
181#1202C2×D311yescharacteristic, complemented
182#1202C2×D311yescharacteristic, complemented
183#1202C2×D311yescharacteristic, complemented
184#1201—31no—
185#1201—31no—
186#1201—31no—
187#1201—31no—
188#1201—61no—
189#1201C2×D311yescharacteristic, complemented
190#1200—31no—
191#1200—31no—
192D5×Dic3—31no—
193D5×Dic3—31no—
194D5×Dic3—31no—
195D5×Dic3—31no—
196D5×Dic3—31no—
197D5×Dic3—61no—
198D5×Dic3C2×D311yescharacteristic, complemented
199#1004—151no—
200#1004—151no—
201C2×C32×C5—21no—
202C2×C32×C5C2411yescharacteristic
203C3⋊D15—21no—
204C5×C3⋊D3—21no—
205C3×D15—21no—
206C3×D15—21no—
207C3×D15—21no—
208C3×C5×D3—21no—
209C32×D5—21no—
210C32×D5—21no—
211C5×#41—91no—
212#713—91no—
213#713—91no—
214D4×D5—31no—
215D4×D5—91no—
216D4×D5—91no—
217D4×D5—91no—
218D4×D5—91no—
219D4×D5—91no—
220#709—91no—
221#709—91no—
222#709—91no—
223C2×D20—31no—
224C2×D20—91no—
225C2×D20—91no—
226C23×C32—51no—
227C22×C3⋊D3—51no—
228C22×C3×D3—51no—
229C22×C3×D3—51no—
230C2×D32—51no—
231C2×D32—51no—
232#638—51no—
233#638—51no—
234#638—51no—
235#638C2×D511yescharacteristic, complemented
236C2×C3⋊Dic3—51no—
237C3×#67—51no—
238C3×#67—51no—
239C3×#67—51no—
240C3×#67—51no—
241C3×#67—51no—
242C3×#67—51no—
243C3×#67—51no—
244C3×#67C2×D511yescharacteristic, complemented
245C2×C3×Dic3—51no—
246C2×C3×Dic3C2×D511yescharacteristic, complemented
247#627—51no—
248#627C2×D511yescharacteristic, complemented
249#626—51no—
250#626—51no—
251#626—51no—
252#626C2×D511yescharacteristic, complemented
253#625—51no—
254#625—51no—
255#624—51no—
256#624C2×D511yescharacteristic, complemented
257D3×Dic3—51no—
258D3×Dic3—51no—
259D3×Dic3—51no—
260D3×Dic3C2×D511yescharacteristic, complemented
261C22×C3×C5—21no—
262C22×C3×C5—31no—
263C22×C3×C5C22×D311yescharacteristic
264C22×C3×C5C22×D311yescharacteristic
265C2×D15—31no—
266C2×D15—31no—
267C2×D15—41no—
268C2×D15—61no—
269C2×D15—121no—
270C2×D15C22×D311yescharacteristic
271C2×D15C22×D311yescharacteristic
272C2×D15C22×D311yescharacteristic
273C2×C5×D3—31no—
274C2×C5×D3—31no—
275C2×C5×D3—61no—
276C2×C5×D3C22×D311yescharacteristic
277C2×C3×D5—21no—
278C2×C3×D5—21no—
279C2×C3×D5—31no—
280C2×C3×D5—31no—
281C2×C3×D5—31no—
282C2×C3×D5—41no—
283C2×C3×D5—41no—
284C2×C3×D5—42no—
285C2×C3×D5—121no—
286C2×C3×D5—121no—
287C2×C3×D5C22×D311yescharacteristic
288C2×C3×D5C22×D311yescharacteristic
289C2×C3×D5C22×D311yescharacteristic
290C2×C3×D5C22×D311yescharacteristic
291D3×D5—41no—
292D3×D5—121no—
293D3×D5—121no—
294D3×D5—121no—
295D3×D5—121no—
296D3×D5—121no—
297D3×D5—122no—
298C3×C4×C5—31no—
299C3×C4×C5—31no—
300C3×C4×C5—31no—
301Dic15—31no—
302Dic15—31no—
303Dic15—61no—
304Dic15C22×D311yescharacteristic
305C3×Dic5—31no—
306C5×Dic3—31no—
307C5×Dic3—31no—
308C5×Dic3—61no—
309C5×Dic3C22×D311yescharacteristic
310C5×Dic3C22×D311yescharacteristic
311C5×Dic3C22×D311yescharacteristic
312C2×C3×D4—151no—
313C2×C3×D4—151no—
314C2×#67—51no—
315C2×#67—51no—
316C2×#67—151no—
317C2×#67—151no—
318C2×#67—151no—
319C2×#67—151no—
320C2×#67—151no—
321C2×#67—151no—
322C2×#67—301no—
323#237—31no—
324#237—151no—
325#237—151no—
326#237—151no—
327#237—151no—
328#237—151no—
329#237—151no—
330#237—151no—
331D3×D4—151no—
332D3×D4—151no—
333D3×D4—151no—
334D3×D4—151no—
335D3×D4—151no—
336D3×D4—151no—
337D3×D4—151no—
338D3×D4—151no—
339#235—31no—
340#235—151no—
341#235—151no—
342#235—151no—
343C32×C5H(5,𝔽2)11yescharacteristic, complemented, Hall
344C22×D5—31no—
345C22×D5—31no—
346C22×D5—91no—
347C22×D5—91no—
348C22×D5—91no—
349C22×D5D3211yescharacteristic, complemented
350C5×Q8—91no—
351C5×D4—31no—
352C5×D4—91no—
353C5×D4—91no—
354C2×C4×C5—31no—
355C2×C4×C5—91no—
356C2×C4×C5—91no—
357C22⋊D5—31no—
358C22⋊D5—31no—
359C22⋊D5—91no—
360C22⋊D5—91no—
361C22⋊D5—91no—
362C22⋊D5—91no—
363D20—31no—
364D20—31no—
365D20—31no—
366D20—31no—
367D20—31no—
368D20—91no—
369D20—91no—
370D20—91no—
371D20—91no—
372C4×D5—31no—
373C4×D5—91no—
374C4×D5—91no—
375C4×D5—91no—
376C4×D5—91no—
377C4×D5—91no—
378Dic10—91no—
379C22×C32—51no—
380C22×C32—51no—
381C22×C32—201no—
382C22×C32C22×D511yescharacteristic
383C2×C3⋊D3—51no—
384C2×C3⋊D3—201no—
385C2×C3⋊D3C22×D511yescharacteristic
386C2×C3×D3—51no—
387C2×C3×D3—51no—
388C2×C3×D3—51no—
389C2×C3×D3—201no—
390C2×C3×D3—201no—
391C2×C3×D3C22×D511yescharacteristic
392D32—201no—
393D32—201no—
394C3⋊Dic3—51no—
395C3⋊Dic3C22×D511yescharacteristic
396C3×Dic3—51no—
397C3×Dic3C22×D511yescharacteristic
398C3×Dic3C22×D511yescharacteristic
399C3×Dic3C22×D511yescharacteristic
400H(5,𝔽2)—451noSylow
401C2×C3×C5—21no—
402C2×C3×C5—21no—
403C2×C3×C5—21no—
404C2×C3×C5—41no—
405C2×C3×C5—61no—
406C2×C3×C5C23×D311yescharacteristic
407C2×C3×C5C23×D311yescharacteristic
408D15—21no—
409D15—21no—
410D15—21no—
411D15—61no—
412D15—61no—
413D15—121no—
414C3×D5—22no—
415C3×D5—21no—
416C3×D5—21no—
417C3×D5—21no—
418C3×D5—21no—
419C3×D5—41no—
420C3×D5—61no—
421C3×D5—61no—
422C3×D5—61no—
423C5×D3—21no—
424C5×D3—61no—
425C5×D3—61no—
426C5×D3—121no—
427C23×C3—51no—
428C23×C3—51no—
429C23×C3—101no—
430C23×C3—151no—
431C23×C3—151no—
432C22×D3—51no—
433C22×D3—51no—
434C22×D3—151no—
435C22×D3—151no—
436C22×D3—151no—
437C22×D3—151no—
438C22×D3—151no—
439C22×D3—151no—
440C22×D3—301no—
441C3×D4—31no—
442C3×D4—151no—
443C3×D4—151no—
444C3×D4—151no—
445C3×D4—151no—
446C3×D4—151no—
447C3×D4—151no—
448C3×D4—151no—
449C2×C3×C4—31no—
450C2×C3×C4—151no—
451#67—31no—
452#67—31no—
453#67—31no—
454#67—51no—
455#67—51no—
456#67—51no—
457#67—51no—
458#67—51no—
459#67—51no—
460#67—51no—
461#67—61no—
462#67—151no—
463#67—151no—
464#67—151no—
465#67—151no—
466#67—151no—
467#67—151no—
468#67—151no—
469#67—151no—
470#67—151no—
471#67—151no—
472#67—151no—
473#67—151no—
474#67—151no—
475#67—301no—
476#67—301no—
477#67—301no—
478#67D3×D511yescharacteristic, complemented
479C2×Dic3—31no—
480C2×Dic3—51no—
481C2×Dic3—151no—
482C2×Dic3—151no—
483C2×Dic3—151no—
484C2×Dic3—151no—
485C2×Dic3—151no—
486C2×Dic3—301no—
487C2×Dic3D3×D511yescharacteristic, complemented
488D12—31no—
489D12—151no—
490D12—151no—
491D12—151no—
492C4×D3—31no—
493C4×D3—31no—
494C4×D3—31no—
495C4×D3—151no—
496C4×D3—151no—
497C4×D3—151no—
498C4×D3—151no—
499C4×D3—151no—
500Dic6—31no—
501Dic6—31no—
502Dic6—151no—
503Dic6—151no—
504C22×C5—31no—
505C22×C5—91no—
506C22×C5C2×D3211yescharacteristic
507C2×D5—31no—
508C2×D5—31no—
509C2×D5—31no—
510C2×D5—41no—
511C2×D5—91no—
512C2×D5—121no—
513C2×D5—121no—
514C2×D5—361no—
515C2×D5—361no—
516C2×D5—361no—
517C2×D5C2×D3211yescharacteristic
518C2×D5C2×D3211yescharacteristic
519C4×C5—31no—
520C4×C5—31no—
521C4×C5—31no—
522C4×C5—91no—
523Dic5—31no—
524Dic5—91no—
525C2×C32—21no—
526C2×C32—101no—
527C2×C32—101no—
528C2×C32C23×D511yescharacteristic
529C3⋊D3—21no—
530C3⋊D3—101no—
531C3×D3—21no—
532C3×D3—101no—
533C3×D3—101no—
534C3×D3—101no—
535#41—91no—
536#41—451no—
537#41—451no—
538#41—451no—
539#41—451no—
540#41—451no—
541C2×D4—151no—
542C2×D4—151no—
543C2×D4—451no—
544C2×D4—451no—
545C2×D4—451no—
546C2×D4—451no—
547C2×D4—451no—
548C2×D4—451no—
549C2×D4—451no—
550C3×C5—21no—
551C3×C5#100411yescharacteristic, complemented
552C3×C5#100411yescharacteristic, complemented
553C22×C3—21no—
554C22×C3—31no—
555C22×C3—51no—
556C22×C3—51no—
557C22×C3—51no—
558C22×C3—51no—
559C22×C3—101no—
560C22×C3—101no—
561C22×C3—151no—
562C22×C3—151no—
563C22×C3—151no—
564C22×C3—201no—
565C22×C3—201no—
566C22×C3—202no—
567C22×C3—601no—
568C22×C3—601no—
569C22×C3C2×D3×D511yescharacteristic
570C22×C3C2×D3×D511yescharacteristic
571C2×D3—31no—
572C2×D3—31no—
573C2×D3—51no—
574C2×D3—51no—
575C2×D3—51no—
576C2×D3—61no—
577C2×D3—151no—
578C2×D3—151no—
579C2×D3—201no—
580C2×D3—201no—
581C2×D3—301no—
582C2×D3—601no—
583C2×D3—601no—
584C2×D3—601no—
585C2×D3—601no—
586C2×D3—601no—
587C2×D3—601no—
588C2×D3—602no—
589C2×D3C2×D3×D511yescharacteristic
590C3×C4—31no—
591C3×C4—31no—
592C3×C4—31no—
593C3×C4—151no—
594Dic3—31no—
595Dic3—31no—
596Dic3—51no—
597Dic3—61no—
598Dic3—151no—
599Dic3—151no—
600Dic3—301no—
601Dic3C2×D3×D511yescharacteristic
602Dic3C2×D3×D511yescharacteristic
603Dic3C2×D3×D511yescharacteristic
604C2×C5—21no—
605C2×C5—61no—
606C2×C5—181no—
607C2×C5C22×D3211yescharacteristic
608D5—21no—
609D5—21no—
610D5—61no—
611D5—61no—
612D5—61no—
613D5—181no—
614C32#414911yescharacteristic, complemented, Sylow
615C23—51no—
616C23—151no—
617C23—151no—
618C23—451no—
619C23—451no—
620C23—451no—
621Q8—91no—
622Q8—451no—
623D4—31no—
624D4—91no—
625D4—91no—
626D4—151no—
627D4—151no—
628D4—151no—
629D4—151no—
630D4—151no—
631D4—151no—
632D4—151no—
633D4—451no—
634D4—451no—
635D4—451no—
636D4—451no—
637D4—451no—
638D4—451no—
639D4—451no—
640D4—451no—
641C2×C4—31no—
642C2×C4—91no—
643C2×C4—91no—
644C2×C4—151no—
645C2×C4—451no—
646C2×C4—451no—
647C2×C4—451no—
648C2×C4—451no—
649C2×C4—451no—
650C2×C3—21no—
651C2×C3—21no—
652C2×C3—21no—
653C2×C3—41no—
654C2×C3—61no—
655C2×C3—102no—
656C2×C3—101no—
657C2×C3—101no—
658C2×C3—101no—
659C2×C3—101no—
660C2×C3—201no—
661C2×C3—301no—
662C2×C3—301no—
663C2×C3—301no—
664C2×C3C22×D3×D511yescharacteristic
665C2×C3C22×D3×D511yescharacteristic
666D3—21no—
667D3—61no—
668D3—61no—
669D3—101no—
670D3—101no—
671D3—101no—
672D3—121no—
673D3—301no—
674D3—301no—
675D3—601no—
676C5#6433011yescharacteristic, complemented, Sylow
677C22—31no—
678C22—51no—
679C22—51no—
680C22—91no—
681C22—151no—
682C22—151no—
683C22—151no—
684C22—201no—
685C22—451no—
686C22—601no—
687C22—601no—
688C22—1801no—
689C22—1801no—
690C22—1801no—
691C22D32×D511yescharacteristic
692C4—31no—
693C4—31no—
694C4—31no—
695C4—91no—
696C4—151no—
697C4—451no—
698C3—21no—
699C3#9201711yescharacteristic, complemented
700C3#9202611yescharacteristic, complemented
701C2—21no—
702C2—61no—
703C2—101no—
704C2—101no—
705C2—181no—
706C2—301no—
707C2—301no—
708C2—301no—
709C2—901no—
710C2C2×D32×D511yescharacteristic
subgroupG/H
center, FrattiniC2C2×D32×D5
commutator, socle, cosocleC2×C32×C5C24
FittingC22×C32×C5C23
hypercenterC22D32×D5
hypocenterC32×C5H(5,𝔽2)
LCSG ▷ C2×C32×C5 ▷ C32×C5
UCSC1 ◁ C2 ◁ C22

Complements

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

NH ≅ G/Ntype
1. #10624235C2semidirect
2. #67×D15C2semidirect
3. #10624207C2semidirect
4. C5×#3804C2semidirect
5. D5×#638C2semidirect
6. C3×D5×#67C2semidirect
7. C2×C3×#1202C2semidirect
8. #10624047C2semidirect
9. #10624045C2semidirect
10. #10624044C2semidirect
11. #10624042C2semidirect
12. #10624031C2semidirect
13. #10624030C2semidirect
14. #10624028C2semidirect
15. D3×#1202C2semidirect
18. C22×C3×D15C22semidirect
19. C22×C32×D5C22semidirect
20. C2×(C3⋊D3)⋊D5C22semidirect
21. C2×D3×D15C22semidirect
22. C2×D5×C3⋊D3C22semidirect
23. C2×C3×D3×D5C22semidirect
24. #67184C22semidirect
25. C5×#638C22semidirect
26. C3×#1220C22semidirect
27. C3×C5×#67C22semidirect
28. C2×C3×C5×Dic3C22semidirect
29. #67157C22semidirect
30. #67156C22semidirect
31. #67154C22semidirect
32. #67153C22semidirect
33. #67151C22semidirect
34. #67151C22semidirect
35. #67150C22semidirect
36. #67149C22semidirect
37. Dic3×D15C22semidirect
38. Dic3×D15C22semidirect
39. C5×#627C22semidirect
40. C5×#626C22semidirect
41. C5×#624C22semidirect
42. C5×D3×Dic3C22semidirect
43. #67139C22semidirect
44. #67138C22semidirect
45. D5×C3⋊Dic3C22semidirect
46. C3×#1202C22semidirect
47. C3×#1202C22semidirect
48. C3×#1202C22semidirect
49. C3×#1202C22semidirect
50. C3×#1202C22semidirect
51. C3×#1201C22semidirect
52. C3×D5×Dic3C22semidirect
68. D5×#67D3semidirect
70. C2×#1202D3semidirect
121. #3804D5semidirect
123. C22×D15C2×D3semidirect
127. C22×C3×D5C2×D3semidirect
128. C22×C3×D5C2×D3semidirect
135. C2×D3×D5C2×D3semidirect
142. #1220C2×D3semidirect
153. C5×#67C2×D3semidirect
155. C2×C5×Dic3C2×D3semidirect
179. #1202C2×D3semidirect
180. #1202C2×D3semidirect
181. #1202C2×D3semidirect
182. #1202C2×D3semidirect
183. #1202C2×D3semidirect
189. #1201C2×D3semidirect
198. D5×Dic3C2×D3semidirect
235. #638C2×D5semidirect
244. C3×#67C2×D5semidirect
246. C2×C3×Dic3C2×D5semidirect
248. #627C2×D5semidirect
252. #626C2×D5semidirect
256. #624C2×D5semidirect
260. D3×Dic3C2×D5semidirect
343. C32×C5H(5,𝔽2)semidirect
349. C22×D5D32semidirect
478. #67D3×D5semidirect
487. C2×Dic3D3×D5semidirect
551. C3×C5#1004semidirect
552. C3×C5#1004semidirect
614. C32#4149semidirect
676. C5#64330semidirect
699. C3#92017semidirect
700. C3#92026semidirect

Maximal subgroups

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

subgroupindex
#106242352
#67×D152
#106242072
C5×#38042
D5×#6382
C3×D5×#672
C2×C3×#12022
#106240472
#106240452
#106240442
#106240422
#106240312
#106240302
#106240282
D3×#12022
#920263
#920173
#643305