Finite Group Databasebeta

← #14435609

Subgroups — #14435609

Order 1920.

812 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#5603C211yesmaximal, characteristic, complemented
2#11754488C211yesmaximal, characteristic, complemented
3#11751136C211yesmaximal, characteristic, complemented
4C3×#65325C211yesmaximal, characteristic
5#11748988C211yesmaximal, characteristic, complemented
6Dic3×#686C211yesmaximal, characteristic, complemented
7#11748982C211yesmaximal, characteristic, complemented
8#11748982C211yesmaximal, characteristic, complemented
9#11748527C211yesmaximal, characteristic, complemented
10#11748466C211yesmaximal, characteristic, complemented
11#11748330C211yesmaximal, characteristic, complemented
12#11747247C211yesmaximal, characteristic, complemented
13#11747245C211yesmaximal, characteristic, complemented
14#11747222C211yesmaximal, characteristic, complemented
15#11747221C211yesmaximal, characteristic, complemented
16#10615191—31nomaximal, Hall
17C22×C3×D20C2211yescharacteristic
18C3×C5×#121C2211yescharacteristic
19#91815C2211yescharacteristic
20C5×#936—21no—
21C5×#936C2211yescharacteristic, complemented
22C5×#935—21no—
23C5×D4×Dic3C2211yescharacteristic, complemented
24C5×#926C2211yescharacteristic
25C5×#924C2211yescharacteristic
26C5×#888C2211yescharacteristic, complemented
27C5×#887C2211yescharacteristic, complemented
28C5×#879—21no—
29C5×#878—21no—
30C2×C3×#686C2211yescharacteristic
31C2×C3×#686C2211yescharacteristic
32D5×#217—21no—
33D5×#217—21no—
34#91434—21no—
35#91434—21no—
36Dic3×D20C2211yescharacteristic
37Dic3×D20C2211yescharacteristic
38Dic3×D20C2211yescharacteristic
39Dic3×D20C2211yescharacteristic
40C2×#6655C2211yescharacteristic
41C2×#6655C2211yescharacteristic
42#91116C2211yescharacteristic, complemented
43#91116C2211yescharacteristic, complemented
44#91114C2211yescharacteristic
45#91092C2211yescharacteristic, complemented
46#91091C2211yescharacteristic, complemented
47C3×C22⋊#168C2211yescharacteristic
48C3×#3941C2211yescharacteristic
49C3×#3941C2211yescharacteristic
50#90988C2211yescharacteristic, complemented
51#90985C2211yescharacteristic, complemented
52Dic3⋊#168C2211yescharacteristic, complemented
53Dic3⋊#168C2211yescharacteristic, complemented
54#90973C2211yescharacteristic, complemented
55#90973C2211yescharacteristic, complemented
56#90964C2211yescharacteristic
57#90964C2211yescharacteristic
58#90953C2211yescharacteristic, complemented
59Dic3×#168C2211yescharacteristic, complemented
60#79992—51nomaximal, Hall
61C5×#542—31no—
62#65855—31no—
63#65376—31no—
64#65373—31no—
65#65346—31no—
66#65346—31no—
67#65335—31no—
68#65334—31no—
69#65325D311yescharacteristic
70#65324—31no—
71#65315—31no—
72C4×#688—31no—
73#65303—31no—
74C4×#686—31no—
75#65289—31no—
76C23×C3×D5—21no—
77C2×C3×C5×D4—21no—
78C2×C3×C5×D4C2311yescharacteristic
79C22×C3×C4×C5C2311yescharacteristic
80C22×C5×Dic3—21no—
81C2×C5×Dic6—21no—
82C2×C5×Dic6C2311yescharacteristic
83C2×C3×D20—21no—
84C2×C3×D20—22no—
85C2×C3×D20—22no—
86C2×C3×D20C2311yescharacteristic
87C2×C3×D20C2311yescharacteristic
88C2×D5×Dic3—21no—
89C2×D5×Dic3—21no—
90C2×D5×Dic3—21no—
91C2×D5×Dic3—21no—
92C3×C5×C4⋊C4C2311yescharacteristic
93C3×C5×C22⋊C4—21no—
94#6719—21no—
95C4⋊Dic15C2311yescharacteristic
96C4⋊Dic15C2311yescharacteristic
97C4×Dic15—21no—
98C2×C3⋊#168C2311yescharacteristic
99C2×C3⋊#168C2311yescharacteristic
100C5×#217—21no—
101C5×#217—21no—
102C5×#217—21no—
103C5×#217—21no—
104C5×#217D411yescharacteristic
105C5×#217D411yescharacteristic
106C5×C4⋊Dic3D411yescharacteristic
107C5×C4⋊Dic3D411yescharacteristic
108C5×C4⋊Dic3C2311yescharacteristic
109C5×Dic3⋊C4—21no—
110C5×Dic3⋊C4—21no—
111C5×Dic3⋊C4—21no—
112C4×C5×Dic3—21no—
113C4×C5×Dic3C2311yescharacteristic
114C4×C5×Dic3C2311yescharacteristic
115C3×#686—22no—
116C3×#686—22no—
117C2×C3×#168C2311yescharacteristic
118C2×C3×#168C2311yescharacteristic
119#6665—21no—
120#6665—21no—
121#6665—21no—
122#6665—21no—
123#6655—22no—
124#6655—22no—
125#5798—51no—
126#5603D511yescharacteristic, complemented
127C3×#447—51no—
128#5218—51no—
129#5153—51no—
130#5153—51no—
131#5152—51no—
132Dic3×D8—51no—
133#5035—51no—
134#4761—51no—
135#4759—51no—
136#4758—51no—
137#4757—51no—
138#4723—51no—
139#4720—51no—
140C22×D20C2×D311yescharacteristic
141C5×C4⋊Q8—31no—
142C5×#126—61no—
143C5×#124—31no—
144C5×#124—61no—
145C5×#123—61no—
146C5×C22⋊Q8—31no—
147C5×C22⋊Q8—61no—
148C5×#121C2×D311yescharacteristic
149C4×C5×Q8—31no—
150C4×C5×D4—31no—
151C5×#117—31no—
152C2×#688—31no—
153C2×#688—31no—
154C2×#686C2×D311yescharacteristic
155C2×#686C2×D311yescharacteristic
156#4072—31no—
157#4039—61no—
158#4039—61no—
159D5×C22⋊C4—61no—
160D5×C22⋊C4—61no—
161C4×D20—31no—
162C4×D20—31no—
163C4×D20—31no—
164C4×D20—31no—
165#3967—31no—
166#3967—31no—
167#3964—31no—
168#3964—31no—
169C22⋊#168—31no—
170C22⋊#168C2×D311yescharacteristic
171#3941—31no—
172#3941—31no—
173#3941C2×D311yescharacteristic
174#3941C2×D311yescharacteristic
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#3118—151noSylow
184C23×C3×C5—21no—
185C23×C3×C5C2×D411yescharacteristic
186C22×C3×D5—21no—
187C22×C3×D5—21no—
188C22×C3×D5—24no—
189C22×C3×D5—81no—
190C22×C3×D5—81no—
191C3×C5×D4—21no—
192C3×C5×D4—21no—
193C3×C5×D4—81no—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5C2×D411yescharacteristic
198C2×C3×C4×C5C2411yescharacteristic
199C2×Dic15—21no—
200C2×Dic15—21no—
201C2×C5×Dic3—21no—
202C2×C5×Dic3—21no—
203C2×C5×Dic3—81no—
204C2×C5×Dic3C2×D411yescharacteristic
205C2×C5×Dic3C2×D411yescharacteristic
206C2×C5×Dic3C2×D411yescharacteristic
207C2×C5×Dic3C2×D411yescharacteristic
208C5×Dic6—21no—
209C5×Dic6—21no—
210C5×Dic6—81no—
211C3×D20—24no—
212C3×D20—21no—
213C3×D20—21no—
214C3×D20#4112yes—
215C3×D20#4112yes—
216D5×Dic3—81no—
217D5×Dic3—81no—
218D5×Dic3—81no—
219D5×Dic3—81no—
220C3⋊#168—21no—
221C3⋊#168—21no—
222C3×#168—21no—
223C3×#168—21no—
224C22×C3×D4—51no—
225C2×C3×D8—51no—
226C2×C3×D8—51no—
227C3×#121C2×D511yescharacteristic
228C2×#217—101no—
229C2×#217—101no—
230#936—21no—
231#936C2×D511yescharacteristic, complemented
232#935—21no—
233D4×Dic3—51no—
234D4×Dic3—51no—
235D4×Dic3—51no—
236D4×Dic3—51no—
237D4×Dic3—101no—
238D4×Dic3—101no—
239D4×Dic3C2×D511yescharacteristic, complemented
240C2×#214—51no—
241C2×#214—51no—
242#926—51no—
243#926C2×D511yescharacteristic
244#924C2×D511yescharacteristic
245#888C2×D511yescharacteristic, complemented
246#887C2×D511yescharacteristic, complemented
247#879—21no—
248#878—21no—
249C3×#102—51no—
250C3×#102—51no—
251C3×C22⋊C8—51no—
252#832—51no—
253#832—51no—
254#832—51no—
255#832—51no—
256#830—51no—
257#818—51no—
258#817—51no—
259#816—51no—
260#816—51no—
261#815—51no—
262Dic3⋊C8—51no—
263Dic3⋊C8—51no—
264C8×Dic3—51no—
265#808—51no—
266#807—51no—
267C23×D5—21no—
268C2×C5×Q8—31no—
269C2×C5×Q8—61no—
270C2×C5×D4—21no—
271C2×C5×D4C22×D311yescharacteristic
272C22×C4×C5—61no—
273C22×C4×C5C22×D311yescharacteristic
274C2×D20—21no—
275C2×D20—22no—
276C2×D20—22no—
277C2×D20C22×D311yescharacteristic
278C2×D20C22×D311yescharacteristic
279C2×C4×D5—61no—
280C2×C4×D5—61no—
281C2×C4×D5—61no—
282C2×C4×D5—61no—
283C5×C4⋊C4—31no—
284C5×C4⋊C4—31no—
285C5×C4⋊C4—31no—
286C5×C4⋊C4—61no—
287C5×C4⋊C4—61no—
288C5×C4⋊C4—61no—
289C5×C4⋊C4C22×D311yescharacteristic
290C5×C22⋊C4—21no—
291C5×C22⋊C4—31no—
292C5×C22⋊C4—31no—
293C5×C22⋊C4—61no—
294C5×C22⋊C4—61no—
295C5×C22⋊C4—61no—
296C5×C22⋊C4—61no—
297C42×C5—31no—
298C42×C5—31no—
299C42×C5—61no—
300C22⋊Dic5—61no—
301#688—62no—
302#688—62no—
303#686—22no—
304#686—22no—
305#685—61no—
306#685—61no—
307#685—61no—
308#685—61no—
309C4⋊Dic5—31no—
310C4⋊Dic5—31no—
311C4×Dic5—61no—
312C2×#168—31no—
313C2×#168—31no—
314C2×#168C22×D311yescharacteristic
315C2×#168C22×D311yescharacteristic
316#542—31no—
317#518—151no—
318#485—151no—
319#482—151no—
320#476—151no—
321#474—151no—
322#463—151no—
323#463—151no—
324#450—151no—
325#447—51no—
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×C5C22×D411yescharacteristic
338C2×C3×D5—22no—
339C2×C3×D5—22no—
340C2×C3×D5—41no—
341C2×C3×D5—41no—
342C2×C3×D5—41no—
343C2×C3×D5—41no—
344C2×C3×D5—84no—
345C3×C4×C5—21no—
346C3×C4×C5—41no—
347C3×C4×C5C2×#4111yescharacteristic
348C3×C4×C5C2×#4111yescharacteristic
349Dic15—41no—
350Dic15—41no—
351C5×Dic3—21no—
352C5×Dic3—21no—
353C5×Dic3—21no—
354C5×Dic3—21no—
355C5×Dic3—41no—
356C5×Dic3—41no—
357C24×C3—101no—
358C2×C3×D4—21no—
359C2×C3×D4—51no—
360C2×C3×D4—51no—
361C2×C3×D4—102no—
362C2×C3×D4—102no—
363C2×C3×D4—101no—
364C2×C3×D4C22×D511yescharacteristic
365C22×C3×C4C22×D511yescharacteristic
366C22×Dic3—21no—
367C22×Dic3—101no—
368C22×Dic3—101no—
369C22×Dic3—101no—
370C22×Dic3—101no—
371C2×Dic6—21no—
372C2×Dic6C22×D511yescharacteristic
373C3×D8—102no—
374C3×D8—102no—
375C2×C3×C8—51no—
376C2×C3×C8—51no—
377C3×C4⋊C4C22×D511yescharacteristic
378C3×C22⋊C4—21no—
379#217—21no—
380#217—21no—
381#217—21no—
382#217—21no—
383#217—101no—
384#217—101no—
385#217—101no—
386#217—101no—
387#217—101no—
388#217C22⋊D511yescharacteristic
389#217C22⋊D511yescharacteristic
390#214—102no—
391#214—102no—
392C4⋊Dic3—51no—
393C4⋊Dic3—51no—
394C4⋊Dic3C22⋊D511yescharacteristic
395C4⋊Dic3C22⋊D511yescharacteristic
396C4⋊Dic3C22×D511yescharacteristic
397Dic3⋊C4—21no—
398Dic3⋊C4—21no—
399Dic3⋊C4—21no—
400C4×Dic3—21no—
401C4×Dic3—101no—
402C4×Dic3C22×D511yescharacteristic
403C4×Dic3C22×D511yescharacteristic
404C2×C3⋊C8—51no—
405C2×C3⋊C8—51no—
406C23×C5—21no—
407C23×C5D3×D411yescharacteristic
408C22×D5—21no—
409C22×D5—21no—
410C22×D5—24no—
411C22×D5—81no—
412C22×D5—81no—
413C5×Q8—61no—
414C5×Q8—61no—
415C5×Q8—241no—
416C5×D4—21no—
417C5×D4—21no—
418C5×D4—81no—
419C2×C4×C5—21no—
420C2×C4×C5—21no—
421C2×C4×C5—21no—
422C2×C4×C5—31no—
423C2×C4×C5—31no—
424C2×C4×C5—31no—
425C2×C4×C5—31no—
426C2×C4×C5—61no—
427C2×C4×C5—61no—
428C2×C4×C5—241no—
429C2×C4×C5D3×D411yescharacteristic
430C2×C4×C5C23×D311yescharacteristic
431C2×Dic5—61no—
432C2×Dic5—61no—
433D20—24no—
434D20—21no—
435D20—21no—
436D20#23712yes—
437D20#23712yes—
438C4×D5—241no—
439C4×D5—241no—
440C4×D5—241no—
441C4×D5—241no—
442#168—21no—
443#168—21no—
444#168—61no—
445#168—61no—
446C22×D4—51no—
447C2×SD16—151no—
448C2×SD16—151no—
449C2×D8—51no—
450C2×D8—51no—
451C4⋊Q8—31no—
452#126—61no—
453#124—31no—
454#124—61no—
455#123—61no—
456C22⋊Q8—31no—
457C22⋊Q8—61no—
458#121D3×D511yescharacteristic
459C4×Q8—31no—
460C4×D4—31no—
461C4×D4—151no—
462C4×D4—151no—
463C4×D4—151no—
464C4×D4—151no—
465C4×D4—301no—
466C4×D4—301no—
467#117—31no—
468#117—151no—
469C2×C22⋊C4—301no—
470C2×C22⋊C4—301no—
471#107—151no—
472#107—151no—
473#106—151no—
474#106—151no—
475C4⋊C8—151no—
476C4⋊C8—151no—
477#103—151no—
478#103—151no—
479#102—51no—
480#102—51no—
481#102—151no—
482#102—151no—
483#102—151no—
484#102—151no—
485C22⋊C8—51no—
486C22⋊C8—151no—
487#97—151no—
488C4×C8—151no—
489C2×C3×C5—41no—
490C2×C3×C5—81no—
491C2×C3×C5#52511yescharacteristic
492C2×C3×C5#57611yescharacteristic
493C2×C3×C5#57711yescharacteristic
494C3×D5—42no—
495C3×D5—42no—
496C23×C3—21no—
497C23×C3—104no—
498C23×C3—101no—
499C23×C3—101no—
500C23×C3—401no—
501C23×C3—401no—
502C23×C3C2×C22⋊D511yescharacteristic
503C3×D4—21no—
504C3×D4—21no—
505C3×D4—52no—
506C3×D4—52no—
507C3×D4—81no—
508C3×D4—104no—
509C3×D4—101no—
510C3×D4—101no—
511C2×C3×C4—21no—
512C2×C3×C4—21no—
513C2×C3×C4—21no—
514C2×C3×C4C2×C22⋊D511yescharacteristic
515C2×C3×C4C23×D511yescharacteristic
516C2×Dic3—21no—
517C2×Dic3—21no—
518C2×Dic3—81no—
519C2×Dic3—101no—
520C2×Dic3—101no—
521C2×Dic3—401no—
522C2×Dic3—401no—
523C2×Dic3—401no—
524C2×Dic3—401no—
525C2×Dic3C2×C22⋊D511yescharacteristic
526C2×Dic3C2×C22⋊D511yescharacteristic
527C2×Dic3C2×C22⋊D511yescharacteristic
528C2×Dic3C2×C22⋊D511yescharacteristic
529Dic6—21no—
530Dic6—21no—
531Dic6—81no—
532C3×C8—101no—
533C3×C8—101no—
534C3⋊C8—101no—
535C3⋊C8—101no—
536C22×C5—21no—
537C22×C5—21no—
538C22×C5—21no—
539C22×C5—41no—
540C22×C5—41no—
541C22×C5—41no—
542C22×C5C2×D3×D411yescharacteristic
543C2×D5—22no—
544C2×D5—22no—
545C2×D5—41no—
546C2×D5—41no—
547C2×D5—41no—
548C2×D5—41no—
549C2×D5—84no—
550C4×C5—21no—
551C4×C5—41no—
552C4×C5—61no—
553C4×C5—61no—
554C4×C5—61no—
555C4×C5—61no—
556C4×C5—121no—
557C4×C5—121no—
558C4×C5C2×#23711yescharacteristic
559C4×C5C2×#23711yescharacteristic
560Dic5—121no—
561Dic5—121no—
562C24—101no—
563C2×Q8—31no—
564C2×Q8—61no—
565C2×D4—21no—
566C2×D4—51no—
567C2×D4—51no—
568C2×D4—102no—
569C2×D4—102no—
570C2×D4—101no—
571C2×D4C2×D3×D511yescharacteristic
572C22×C4—61no—
573C22×C4—301no—
574C22×C4—301no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4C2×D3×D511yescharacteristic
578SD16—302no—
579SD16—302no—
580D8—102no—
581D8—102no—
582C2×C8—51no—
583C2×C8—51no—
584C2×C8—151no—
585C2×C8—151no—
586C4⋊C4—31no—
587C4⋊C4—31no—
588C4⋊C4—31no—
589C4⋊C4—61no—
590C4⋊C4—61no—
591C4⋊C4—61no—
592C4⋊C4—151no—
593C4⋊C4—151no—
594C4⋊C4C2×D3×D511yescharacteristic
595C22⋊C4—21no—
596C22⋊C4—31no—
597C22⋊C4—31no—
598C22⋊C4—61no—
599C22⋊C4—61no—
600C22⋊C4—61no—
601C22⋊C4—61no—
602C22⋊C4—301no—
603C22⋊C4—301no—
604C22⋊C4—301no—
605C22⋊C4—301no—
606C22⋊C4—301no—
607C42—31no—
608C42—31no—
609C42—61no—
610C42—301no—
611C3×C5#311811yescharacteristic, complemented, Hall
612C22×C3—21no—
613C22×C3—21no—
614C22×C3—21no—
615C22×C3—41no—
616C22×C3—41no—
617C22×C3—41no—
618C22×C3—102no—
619C22×C3—102no—
620C22×C3—201no—
621C22×C3—201no—
622C22×C3—201no—
623C22×C3—201no—
624C22×C3—404no—
625C22×C3C22×C22⋊D511yescharacteristic
626C3×C4—21no—
627C3×C4—41no—
628C3×C4D5×#4111yescharacteristic
629C3×C4D5×#4111yescharacteristic
630Dic3—21no—
631Dic3—21no—
632Dic3—21no—
633Dic3—21no—
634Dic3—41no—
635Dic3—41no—
636Dic3—201no—
637Dic3—201no—
638C2×C5—41no—
639C2×C5—81no—
640C2×C5#558611yescharacteristic
641C2×C5#575711yescharacteristic
642C2×C5#577511yescharacteristic
643D5—42no—
644D5—42no—
645C23—21no—
646C23—104no—
647C23—101no—
648C23—101no—
649C23—401no—
650C23—401no—
651C23D3×C22⋊D511yescharacteristic
652Q8—61no—
653Q8—61no—
654Q8—241no—
655D4—21no—
656D4—21no—
657D4—52no—
658D4—52no—
659D4—81no—
660D4—104no—
661D4—101no—
662D4—101no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—31no—
667C2×C4—31no—
668C2×C4—31no—
669C2×C4—31no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—241no—
673C2×C4—301no—
674C2×C4—301no—
675C2×C4—1201no—
676C2×C4—1201no—
677C2×C4—1201no—
678C2×C4—1201no—
679C2×C4D3×C22⋊D511yescharacteristic
680C2×C4C22×D3×D511yescharacteristic
681C8—101no—
682C8—101no—
683C8—301no—
684C8—301no—
685C2×C3—41no—
686C2×C3—81no—
687C2×C3—202no—
688C2×C3—202no—
689C2×C3#6616211yescharacteristic
690C2×C3#6616911yescharacteristic
691C2×C3#6617111yescharacteristic
692C5#7999211yescharacteristic, complemented, Sylow
693C22—21no—
694C22—21no—
695C22—21no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22—102no—
700C22—102no—
701C22—201no—
702C22—201no—
703C22—201no—
704C22—201no—
705C22—404no—
706C22C2×D3×C22⋊D511yescharacteristic
707C4—21no—
708C4—41no—
709C4—61no—
710C4—61no—
711C4—61no—
712C4—61no—
713C4—121no—
714C4—121no—
715C4—601no—
716C4—601no—
717C4D5×#23711yescharacteristic
718C4D5×#23711yescharacteristic
719C3#1061519111yescharacteristic, complemented, Sylow
720C2—41no—
721C2—81no—
722C2—202no—
723C2—202no—
724C2#1175469711yescharacteristic
725C2#1175480111yescharacteristic
726C2#1175532411yescharacteristic
subgroupG/H
centerC22C2×D3×C22⋊D5
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#121C22
socleC22×C3×C5C22×D4
prime radicalC3×#65325C2
hypercenter#121D3×D5
hypocenterC3×C5#3118
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ #121

Complements

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

NH ≅ G/Ntype
1. C5×#5603C2semidirect
2. #11754488C2semidirect
3. #11751136C2semidirect
5. #11748988C2semidirect
6. Dic3×#686C2semidirect
7. #11748982C2semidirect
8. #11748982C2semidirect
9. #11748527C2semidirect
10. #11748466C2semidirect
11. #11748330C2semidirect
12. #11747247C2semidirect
13. #11747245C2semidirect
14. #11747222C2semidirect
15. #11747221C2semidirect
21. C5×#936C22semidirect
23. C5×D4×Dic3C22semidirect
26. C5×#888C22semidirect
27. C5×#887C22semidirect
42. #91116C22semidirect
43. #91116C22semidirect
45. #91092C22semidirect
46. #91091C22semidirect
50. #90988C22semidirect
51. #90985C22semidirect
52. Dic3⋊#168C22semidirect
53. Dic3⋊#168C22semidirect
54. #90973C22semidirect
55. #90973C22semidirect
58. #90953C22semidirect
59. Dic3×#168C22semidirect
126. #5603D5semidirect
231. #936C2×D5semidirect
239. D4×Dic3C2×D5semidirect
245. #888C2×D5semidirect
246. #887C2×D5semidirect
611. C3×C5#3118semidirect
692. C5#79992semidirect
719. C3#10615191semidirect

Maximal subgroups

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

subgroupindex
C5×#56032
#117544882
#117511362
C3×#653252
#117489882
Dic3×#6862
#117489822
#117485272
#117484662
#117483302
#117472472
#117472452
#117472222
#117472212
#106151913
#799925