Finite Group Databasebeta

← #14435822

Subgroups — #14435822

Order 1920.

792 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C5×#540C211yesmaximal, characteristic, complemented
2#11756282C211yesmaximal, characteristic, complemented
3#11751176C211yesmaximal, characteristic, complemented
4#11751173C211yesmaximal, characteristic, complemented
5#11751167C211yesmaximal, characteristic, complemented
6#11751164C211yesmaximal, characteristic, complemented
7#11751138C211yesmaximal, characteristic, complemented
8#11751138C211yesmaximal, characteristic, complemented
9#11751135C211yesmaximal, characteristic, complemented
10#11751134C211yesmaximal, characteristic, complemented
11#11751119C211yesmaximal, characteristic, complemented
12C4×#6716C211yesmaximal, characteristic, complemented
13#11751115C211yesmaximal, characteristic, complemented
14C4×#6715C211yesmaximal, characteristic, complemented
15#11751101C211yesmaximal, characteristic, complemented
16#10615165—31nomaximal, Hall
17C2×#6817C2211yescharacteristic
18C3×C5×#127C2211yescharacteristic
19C3×C5×#125C2211yescharacteristic
20C3×C5×#123—21no—
21C3×C5×#123—21no—
22C3×C5×#121—21no—
23C3×C5×#121—21no—
24C3×C5×#121C2211yescharacteristic
25C3×C5×#121C2211yescharacteristic
26C3×C4×C5×D4C2211yescharacteristic
27C3×C4×C5×D4C2211yescharacteristic
28C3×C5×#117C2211yescharacteristic
29C2×#6716C2211yescharacteristic
30C2×#6716C2211yescharacteristic
31C2×#6715C2211yescharacteristic
32C2×#6715C2211yescharacteristic
33C2×C4⋊Dic15C2211yescharacteristic
34#91781—21no—
35C4⋊C4×D15—21no—
36#91770—21no—
37#91770—21no—
38C4×D60C2211yescharacteristic
39C4×D60C2211yescharacteristic
40C4×Dic30C2211yescharacteristic
41C4×Dic30C2211yescharacteristic
42#91116C2211yescharacteristic
43#91116C2211yescharacteristic
44#91116C2211yescharacteristic
45#91116C2211yescharacteristic
46#91114C2211yescharacteristic
47#91114C2211yescharacteristic
48#91094C2211yescharacteristic
49#91094C2211yescharacteristic
50#91093C2211yescharacteristic
51#91093C2211yescharacteristic
52#91092C2211yescharacteristic
53#91092C2211yescharacteristic
54#91091C2211yescharacteristic
55#91091C2211yescharacteristic
56C4⋊(C3⋊#168)C2211yescharacteristic
57C4⋊(C3⋊#168)C2211yescharacteristic
58#91087C2211yescharacteristic
59C4×C3⋊#168C2211yescharacteristic
60#83434—51nomaximal, Hall
61C5×#540D311yescharacteristic, complemented
62#65857—31no—
63#65364—31no—
64#65361—31no—
65#65355—31no—
66#65352—31no—
67#65326—31no—
68#65326—31no—
69#65323—31no—
70#65322—31no—
71#65307—31no—
72C4×#687—31no—
73#65303—31no—
74C4×#686—31no—
75#65289—31no—
76C2×C3×C5×D4—21no—
77C2×C3×C5×D4—21no—
78C2×C3×C5×D4—21no—
79C2×C3×C5×D4—21no—
80C2×C3×C5×D4C2311yescharacteristic
81C2×C3×C5×D4C2311yescharacteristic
82C22×C3×C4×C5—21no—
83C22×C3×C4×C5—21no—
84C22×C3×C4×C5C2311yescharacteristic
85C2×#1220—21no—
86C22×Dic15—21no—
87#6817—22no—
88#6817—22no—
89C2×D60C2311yescharacteristic
90C2×C4×D15—21no—
91C2×C4×D15—21no—
92C2×C4×D15—21no—
93C2×Dic30C2311yescharacteristic
94C3×C5×C4⋊C4—21no—
95C3×C5×C4⋊C4—21no—
96C3×C5×C4⋊C4D411yescharacteristic
97C3×C5×C4⋊C4D411yescharacteristic
98C3×C5×C4⋊C4C2311yescharacteristic
99C3×C5×C4⋊C4C2311yescharacteristic
100C3×C5×C22⋊C4—21no—
101C3×C5×C22⋊C4—21no—
102C3×C5×C22⋊C4—21no—
103C3×C5×C22⋊C4—21no—
104C3×C5×C22⋊C4D411yescharacteristic
105C3×C5×C22⋊C4D411yescharacteristic
106C3×C42×C5C2311yescharacteristic
107C3×C42×C5C2311yescharacteristic
108#6716—22no—
109#6716—22no—
110#6715—22no—
111#6715—22no—
112#6714—21no—
113#6714—21no—
114C4⋊Dic15—21no—
115C4⋊Dic15C2311yescharacteristic
116C4⋊Dic15C2311yescharacteristic
117#6712—21no—
118#6712—21no—
119C4×Dic15—21no—
120C4×Dic15—21no—
121C2×C3⋊#168C2311yescharacteristic
122C2×C3⋊#168C2311yescharacteristic
123C2×C3⋊#168C2311yescharacteristic
124C2×C3⋊#168C2311yescharacteristic
125C3×#540D511yescharacteristic, complemented
126#5523—51no—
127#5075—51no—
128#5072—51no—
129#5066—51no—
130#5063—51no—
131#5037—51no—
132#5037—51no—
133#5034—51no—
134#5033—51no—
135#5018—51no—
136C4×#214—51no—
137#5014—51no—
138C4×#213—51no—
139#5000—51no—
140C2×#709—31no—
141C5×#127C2×D311yescharacteristic
142C5×#125C2×D311yescharacteristic
143C5×#123—21no—
144C5×#123—21no—
145C5×#121—21no—
146C5×#121—21no—
147C5×#121C2×D311yescharacteristic
148C5×#121C2×D311yescharacteristic
149C4×C5×D4C2×D311yescharacteristic
150C4×C5×D4C2×D311yescharacteristic
151C5×#117C2×D311yescharacteristic
152C2×#687—31no—
153C2×#687—31no—
154C2×#686—31no—
155C2×#686—31no—
156C2×C4⋊Dic5—31no—
157#4038—61no—
158D5×C4⋊C4—61no—
159#4027—61no—
160#4027—61no—
161C4×D20—31no—
162C4×D20—31no—
163C4×Dic10—31no—
164C4×Dic10—31no—
165#3964—31no—
166#3964—31no—
167#3964—31no—
168#3964—31no—
169C22⋊#168—31no—
170C22⋊#168—31no—
171#3942—31no—
172#3942—31no—
173#3941—31no—
174#3941—31no—
175#3940—31no—
176#3940—31no—
177#3939—31no—
178#3939—31no—
179C4⋊#168—31no—
180C4⋊#168—31no—
181#3935—31no—
182C4×#168—31no—
183#3119—151noSylow
184C23×C3×C5—21no—
185C23×C3×C5—21no—
186C23×C3×C5C2×D411yescharacteristic
187C22×D15—21no—
188C3×C5×D4—21no—
189C3×C5×D4—21no—
190C3×C5×D4—21no—
191C3×C5×D4—21no—
192C3×C5×D4—81no—
193C3×C5×D4—81no—
194C3×C5×D4—81no—
195C3×C5×D4—81no—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5—21no—
198C2×C3×C4×C5—21no—
199C2×C3×C4×C5—21no—
200C2×C3×C4×C5—81no—
201C2×C3×C4×C5—81no—
202C2×C3×C4×C5C2×D411yescharacteristic
203C2×C3×C4×C5C2×D411yescharacteristic
204C2×C3×C4×C5C2×D411yescharacteristic
205C2×C3×C4×C5C2×D411yescharacteristic
206C2×C3×C4×C5C2×D411yescharacteristic
207C2×C3×C4×C5C2411yescharacteristic
208#1220—24no—
209C2×Dic15—21no—
210C2×Dic15—21no—
211C2×Dic15—21no—
212C2×Dic15—81no—
213D60—21no—
214D60#4112yes—
215C4×D15—24no—
216C4×D15—81no—
217C4×D15—81no—
218Dic30—21no—
219Dic30#4112yes—
220C3⋊#168—21no—
221C3⋊#168—21no—
222C3⋊#168—21no—
223C3⋊#168—21no—
224C2×#235—51no—
225C3×#127C2×D511yescharacteristic
226C3×#125C2×D511yescharacteristic
227C3×#123—21no—
228C3×#123—21no—
229C3×#121—21no—
230C3×#121—21no—
231C3×#121C2×D511yescharacteristic
232C3×#121C2×D511yescharacteristic
233C3×C4×D4C2×D511yescharacteristic
234C3×C4×D4C2×D511yescharacteristic
235C3×#117C2×D511yescharacteristic
236C2×#214—51no—
237C2×#214—51no—
238C2×#213—51no—
239C2×#213—51no—
240C2×C4⋊Dic3—51no—
241#892—101no—
242D3×C4⋊C4—101no—
243#67⋊C4—101no—
244#67⋊C4—101no—
245C4×D12—51no—
246C4×D12—51no—
247C4×Dic6—51no—
248C4×Dic6—51no—
249#832—51no—
250#832—51no—
251#832—51no—
252#832—51no—
253#830—51no—
254#830—51no—
255#810—51no—
256#810—51no—
257#809—51no—
258#809—51no—
259#808—51no—
260#808—51no—
261#807—51no—
262#807—51no—
263C4⋊(C3⋊C8)—51no—
264C4⋊(C3⋊C8)—51no—
265#803—51no—
266C4×C3⋊C8—51no—
267C2×C5×D4—21no—
268C2×C5×D4—21no—
269C2×C5×D4—21no—
270C2×C5×D4—21no—
271C2×C5×D4C22×D311yescharacteristic
272C2×C5×D4C22×D311yescharacteristic
273C22×C4×C5—21no—
274C22×C4×C5—21no—
275C22×C4×C5C22×D311yescharacteristic
276C2×C22⋊D5—61no—
277C22×Dic5—61no—
278#709—62no—
279#709—62no—
280C2×D20—31no—
281C2×C4×D5—61no—
282C2×C4×D5—61no—
283C2×C4×D5—61no—
284C2×Dic10—31no—
285C5×C4⋊C4—21no—
286C5×C4⋊C4—21no—
287C5×C4⋊C4#6711yescharacteristic
288C5×C4⋊C4#6711yescharacteristic
289C5×C4⋊C4C22×D311yescharacteristic
290C5×C4⋊C4C22×D311yescharacteristic
291C5×C22⋊C4—21no—
292C5×C22⋊C4—21no—
293C5×C22⋊C4—21no—
294C5×C22⋊C4—21no—
295C5×C22⋊C4#6711yescharacteristic
296C5×C22⋊C4#6711yescharacteristic
297C42×C5C22×D311yescharacteristic
298C42×C5C22×D311yescharacteristic
299#687—62no—
300#687—62no—
301#686—62no—
302#686—62no—
303#685—61no—
304#685—61no—
305C4⋊Dic5—31no—
306C4⋊Dic5—31no—
307C4⋊Dic5—61no—
308#683—61no—
309#683—61no—
310C4×Dic5—61no—
311C4×Dic5—61no—
312C2×#168—31no—
313C2×#168—31no—
314C2×#168—31no—
315C2×#168—31no—
316#540D1511yescharacteristic, complemented
317#520—151no—
318#481—151no—
319#480—151no—
320#479—151no—
321#478—151no—
322#460—151no—
323#459—151no—
324#449—151no—
325#449—151no—
326#442—151no—
327#440—151no—
328C4×SD16—151no—
329C4×D8—151no—
330#433—151no—
331C22×C3×C5—21no—
332C22×C3×C5—21no—
333C22×C3×C5—21no—
334C22×C3×C5—41no—
335C22×C3×C5—41no—
336C22×C3×C5—41no—
337C22×C3×C5—41no—
338C22×C3×C5—41no—
339C22×C3×C5—41no—
340C22×C3×C5C22×D411yescharacteristic
341C2×D15—22no—
342C2×D15—41no—
343C2×D15—41no—
344C3×C4×C5—21no—
345C3×C4×C5—21no—
346C3×C4×C5—21no—
347C3×C4×C5—21no—
348C3×C4×C5—21no—
349C3×C4×C5—41no—
350C3×C4×C5—41no—
351C3×C4×C5C2×#4111yescharacteristic
352C3×C4×C5C2×#4111yescharacteristic
353Dic15—22no—
354Dic15—41no—
355Dic15—41no—
356C2×C3×D4—21no—
357C2×C3×D4—21no—
358C2×C3×D4—21no—
359C2×C3×D4—21no—
360C2×C3×D4C22×D511yescharacteristic
361C2×C3×D4C22×D511yescharacteristic
362C22×C3×C4—21no—
363C22×C3×C4—21no—
364C22×C3×C4C22×D511yescharacteristic
365C2×#67—101no—
366C22×Dic3—101no—
367#235—102no—
368#235—102no—
369C2×D12—51no—
370C2×C4×D3—101no—
371C2×C4×D3—101no—
372C2×C4×D3—101no—
373C2×Dic6—51no—
374C3×C4⋊C4—21no—
375C3×C4⋊C4—21no—
376C3×C4⋊C4C22⋊D511yescharacteristic
377C3×C4⋊C4C22⋊D511yescharacteristic
378C3×C4⋊C4C22×D511yescharacteristic
379C3×C4⋊C4C22×D511yescharacteristic
380C3×C22⋊C4—21no—
381C3×C22⋊C4—21no—
382C3×C22⋊C4—21no—
383C3×C22⋊C4—21no—
384C3×C22⋊C4C22⋊D511yescharacteristic
385C3×C22⋊C4C22⋊D511yescharacteristic
386C3×C42C22×D511yescharacteristic
387C3×C42C22×D511yescharacteristic
388#214—102no—
389#214—102no—
390#213—102no—
391#213—102no—
392(C2×D3)⋊C4—101no—
393(C2×D3)⋊C4—101no—
394C4⋊Dic3—51no—
395C4⋊Dic3—51no—
396C4⋊Dic3—101no—
397Dic3⋊C4—101no—
398Dic3⋊C4—101no—
399C4×Dic3—101no—
400C4×Dic3—101no—
401C2×C3⋊C8—51no—
402C2×C3⋊C8—51no—
403C2×C3⋊C8—51no—
404C2×C3⋊C8—51no—
405C23×C5—21no—
406C23×C5—21no—
407C23×C5C2×#6711yescharacteristic
408C22×D5—61no—
409C5×D4—21no—
410C5×D4—21no—
411C5×D4—21no—
412C5×D4—21no—
413C5×D4—81no—
414C5×D4—81no—
415C5×D4—81no—
416C5×D4—81no—
417C2×C4×C5—21no—
418C2×C4×C5—21no—
419C2×C4×C5—21no—
420C2×C4×C5—21no—
421C2×C4×C5—81no—
422C2×C4×C5—81no—
423C2×C4×C5C2×#6711yescharacteristic
424C2×C4×C5C2×#6711yescharacteristic
425C2×C4×C5C2×#6711yescharacteristic
426C2×C4×C5C2×#6711yescharacteristic
427C2×C4×C5C2×#6711yescharacteristic
428C2×C4×C5C23×D311yescharacteristic
429C22⋊D5—64no—
430C2×Dic5—61no—
431C2×Dic5—61no—
432C2×Dic5—61no—
433C2×Dic5—241no—
434D20—32no—
435D20—61no—
436C4×D5—64no—
437C4×D5—241no—
438C4×D5—241no—
439Dic10—32no—
440Dic10—61no—
441#168—61no—
442#168—61no—
443#168—61no—
444#168—61no—
445C2×#41—151no—
446C2×SD16—151no—
447C2×SD16—151no—
448C2×D8—151no—
449C2×D8—151no—
450#127C2×D1511yescharacteristic
451#125C2×D1511yescharacteristic
452#123—21no—
453#123—21no—
454#121—21no—
455#121—21no—
456#121C2×D1511yescharacteristic
457#121C2×D1511yescharacteristic
458C4×Q8—151no—
459C4×Q8—151no—
460C4×D4—151no—
461C4×D4—151no—
462C4×D4—301no—
463C4×D4—301no—
464C4×D4C2×D1511yescharacteristic
465C4×D4C2×D1511yescharacteristic
466#117—301no—
467#117C2×D1511yescharacteristic
468C2×C4⋊C4—151no—
469C2×C4⋊C4—301no—
470#107—151no—
471#107—151no—
472#106—151no—
473#106—151no—
474C4⋊C8—151no—
475C4⋊C8—151no—
476#103—151no—
477#103—151no—
478#102—151no—
479#102—151no—
480#102—151no—
481#102—151no—
482#102—151no—
483#102—151no—
484C22⋊C8—151no—
485C22⋊C8—151no—
486#97—151no—
487C4×C8—151no—
488C2×C3×C5—41no—
489C2×C3×C5—81no—
490C2×C3×C5—81no—
491C2×C3×C5#52511yescharacteristic
492C2×C3×C5#57611yescharacteristic
493C2×C3×C5#57711yescharacteristic
494D15—42no—
495C23×C3—21no—
496C23×C3—21no—
497C23×C3C2×C22⋊D511yescharacteristic
498C22×D3—101no—
499C3×D4—21no—
500C3×D4—21no—
501C3×D4—21no—
502C3×D4—21no—
503C3×D4—81no—
504C3×D4—81no—
505C3×D4—81no—
506C3×D4—81no—
507C2×C3×C4—21no—
508C2×C3×C4—21no—
509C2×C3×C4—21no—
510C2×C3×C4—21no—
511C2×C3×C4—81no—
512C2×C3×C4—81no—
513C2×C3×C4C2×C22⋊D511yescharacteristic
514C2×C3×C4C2×C22⋊D511yescharacteristic
515C2×C3×C4C2×C22⋊D511yescharacteristic
516C2×C3×C4C2×C22⋊D511yescharacteristic
517C2×C3×C4C2×C22⋊D511yescharacteristic
518C2×C3×C4C23×D511yescharacteristic
519#67—104no—
520C2×Dic3—101no—
521C2×Dic3—101no—
522C2×Dic3—101no—
523C2×Dic3—401no—
524D12—52no—
525D12—101no—
526C4×D3—104no—
527C4×D3—401no—
528C4×D3—401no—
529Dic6—52no—
530Dic6—101no—
531C3⋊C8—101no—
532C3⋊C8—101no—
533C3⋊C8—101no—
534C3⋊C8—101no—
535C22×C5—21no—
536C22×C5—21no—
537C22×C5—21no—
538C22×C5—41no—
539C22×C5—41no—
540C22×C5—41no—
541C22×C5—41no—
542C22×C5—41no—
543C22×C5—41no—
544C22×C5C22×#6711yescharacteristic
545C2×D5—62no—
546C2×D5—121no—
547C2×D5—121no—
548C4×C5—21no—
549C4×C5—21no—
550C4×C5—21no—
551C4×C5—21no—
552C4×C5—21no—
553C4×C5—41no—
554C4×C5—41no—
555C4×C5D3×#4111yescharacteristic
556C4×C5D3×#4111yescharacteristic
557Dic5—62no—
558Dic5—121no—
559Dic5—121no—
560#41—302no—
561#41—302no—
562C2×Q8—151no—
563C2×D4—21no—
564C2×D4—21no—
565C2×D4—21no—
566C2×D4—21no—
567C2×D4—151no—
568C2×D4—301no—
569C2×D4C22×D1511yescharacteristic
570C2×D4C22×D1511yescharacteristic
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—301no—
574C22×C4—301no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4C22×D1511yescharacteristic
578SD16—302no—
579SD16—302no—
580D8—302no—
581D8—302no—
582C2×C8—151no—
583C2×C8—151no—
584C2×C8—151no—
585C2×C8—151no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—151no—
589C4⋊C4—151no—
590C4⋊C4—301no—
591C4⋊C4—301no—
592C4⋊C4—301no—
593C4⋊C4#122011yescharacteristic
594C4⋊C4#122011yescharacteristic
595C4⋊C4C22×D1511yescharacteristic
596C4⋊C4C22×D1511yescharacteristic
597C22⋊C4—21no—
598C22⋊C4—21no—
599C22⋊C4—21no—
600C22⋊C4—21no—
601C22⋊C4—301no—
602C22⋊C4—301no—
603C22⋊C4#122011yescharacteristic
604C22⋊C4#122011yescharacteristic
605C42—301no—
606C42—301no—
607C42C22×D1511yescharacteristic
608C42C22×D1511yescharacteristic
609C3×C5#311911yescharacteristic, complemented, Hall
610C22×C3—21no—
611C22×C3—21no—
612C22×C3—21no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3—41no—
616C22×C3—41no—
617C22×C3—41no—
618C22×C3—41no—
619C22×C3C22×C22⋊D511yescharacteristic
620C2×D3—102no—
621C2×D3—201no—
622C2×D3—201no—
623C3×C4—21no—
624C3×C4—21no—
625C3×C4—21no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—41no—
629C3×C4—41no—
630C3×C4D5×#4111yescharacteristic
631C3×C4D5×#4111yescharacteristic
632Dic3—102no—
633Dic3—201no—
634Dic3—201no—
635C2×C5—41no—
636C2×C5—81no—
637C2×C5—81no—
638C2×C5#582811yescharacteristic
639C2×C5#583511yescharacteristic
640C2×C5#583611yescharacteristic
641D5—122no—
642C23—21no—
643C23—21no—
644C23—301no—
645C23C2×#122011yescharacteristic
646Q8—152no—
647Q8—301no—
648D4—21no—
649D4—21no—
650D4—21no—
651D4—21no—
652D4—81no—
653D4—81no—
654D4—81no—
655D4—81no—
656D4—152no—
657D4—304no—
658D4—301no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—81no—
664C2×C4—81no—
665C2×C4—304no—
666C2×C4—301no—
667C2×C4—301no—
668C2×C4—301no—
669C2×C4—1201no—
670C2×C4—1201no—
671C2×C4—1201no—
672C2×C4C2×#122011yescharacteristic
673C2×C4C2×#122011yescharacteristic
674C2×C4C2×#122011yescharacteristic
675C2×C4C2×#122011yescharacteristic
676C2×C4C2×#122011yescharacteristic
677C2×C4C23×D1511yescharacteristic
678C8—301no—
679C8—301no—
680C8—301no—
681C8—301no—
682C2×C3—41no—
683C2×C3—81no—
684C2×C3—81no—
685C2×C3#6616211yescharacteristic
686C2×C3#6616911yescharacteristic
687C2×C3#6617011yescharacteristic
688D3—202no—
689C5#8343411yescharacteristic, complemented, Sylow
690C22—21no—
691C22—21no—
692C22—21no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22—302no—
700C22—601no—
701C22—601no—
702C22C22×#122011yescharacteristic
703C4—21no—
704C4—21no—
705C4—21no—
706C4—21no—
707C4—21no—
708C4—41no—
709C4—41no—
710C4—302no—
711C4—601no—
712C4—601no—
713C4#41×D1511yescharacteristic
714C4#41×D1511yescharacteristic
715C3#1061516511yescharacteristic, complemented, Sylow
716C2—41no—
717C2—81no—
718C2—81no—
719C2—602no—
720C2#1175658711yescharacteristic
721C2#1175659411yescharacteristic
722C2#1175659511yescharacteristic
subgroupG/H
centerC22C22×#1220
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C5×#540C2
socleC22×C3×C5C22×D4
hypercenter#540D15
hypocenterC3×C5#3119
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ #117 ◁ #540

Complements

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

NH ≅ G/Ntype
1. C3×C5×#540C2semidirect
2. #11756282C2semidirect
3. #11751176C2semidirect
4. #11751173C2semidirect
5. #11751167C2semidirect
6. #11751164C2semidirect
7. #11751138C2semidirect
8. #11751138C2semidirect
9. #11751135C2semidirect
10. #11751134C2semidirect
11. #11751119C2semidirect
12. C4×#6716C2semidirect
13. #11751115C2semidirect
14. C4×#6715C2semidirect
15. #11751101C2semidirect
61. C5×#540D3semidirect
125. C3×#540D5semidirect
316. #540D15semidirect
609. C3×C5#3119semidirect
689. C5#83434semidirect
715. C3#10615165semidirect

Maximal subgroups

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

subgroupindex
C3×C5×#5402
#117562822
#117511762
#117511732
#117511672
#117511642
#117511382
#117511352
#117511342
#117511192
C4×#67162
#117511152
C4×#67152
#117511012
#106151653
#834345