Finite Group Databasebeta

← #14435640

Subgroups — #14435640

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×#5798C211yesmaximal, characteristic, complemented
2#11754185C211yesmaximal, characteristic, complemented
3#11751318C211yesmaximal, characteristic
4C3×#65507C211yesmaximal, characteristic, complemented
5#11749113C211yesmaximal, characteristic, complemented
6#11749112C211yesmaximal, characteristic, complemented
7#11749080C211yesmaximal, characteristic, complemented
8#11749080C211yesmaximal, characteristic, complemented
9#11749010C211yesmaximal, characteristic, complemented
10Dic3×#687C211yesmaximal, characteristic, complemented
11#11748989C211yesmaximal, characteristic, complemented
12#11748986C211yesmaximal, characteristic, complemented
13#11748402C211yesmaximal, characteristic, complemented
14#11748373C211yesmaximal, characteristic, complemented
15#11748330C211yesmaximal, characteristic, complemented
16#10614272—31nomaximal, Hall
17C22×C3×C5×D4C2211yescharacteristic
18C2×#6715C2211yescharacteristic
19C2×#6715C2211yescharacteristic
20#91819C2211yescharacteristic
21C2×C5×#217—21no—
22C2×C5×#217—21no—
23C5×D4×Dic3—21no—
24C5×D4×Dic3—21no—
25C5×D4×Dic3C2211yescharacteristic
26C5×D4×Dic3C2211yescharacteristic
27C5×D4×Dic3C2211yescharacteristic
28C5×D4×Dic3C2211yescharacteristic
29C5×#926C2211yescharacteristic
30C5×#926C2211yescharacteristic
31C2×C3×#687C2211yescharacteristic
32C2×C3×#687C2211yescharacteristic
33C3×#4070C2211yescharacteristic
34#91562—21no—
35#91526—21no—
36#91469C2211yescharacteristic, complemented
37#91428C2211yescharacteristic, complemented
38#91419—21no—
39#91374C2211yescharacteristic, complemented
40#91337—21no—
41Dic3×Dic10C2211yescharacteristic, complemented
42#91116C2211yescharacteristic
43#91116C2211yescharacteristic
44#91114C2211yescharacteristic
45C3×#3964C2211yescharacteristic
46C3×#3964C2211yescharacteristic
47C3×C22⋊#168C2211yescharacteristic
48#90989C2211yescharacteristic, complemented
49#90988C2211yescharacteristic, complemented
50#90986C2211yescharacteristic, complemented
51#90985C2211yescharacteristic, complemented
52Dic3⋊#168C2211yescharacteristic, complemented
53Dic3⋊#168C2211yescharacteristic, complemented
54#90970C2211yescharacteristic, complemented
55#90970C2211yescharacteristic, complemented
56#90969C2211yescharacteristic, complemented
57#90969C2211yescharacteristic, complemented
58#90953C2211yescharacteristic, complemented
59Dic3×#168C2211yescharacteristic, complemented
60#80136—51nomaximal, Hall
61C5×#518—31no—
62#65868—31no—
63#65507D311yescharacteristic, complemented
64#65506—31no—
65#65307—31no—
66C4×#687—31no—
67#65305—31no—
68#65305—31no—
69#65303—31no—
70C4×#686—31no—
71#65297—31no—
72#65296—31no—
73#65292—31no—
74#65289—31no—
75#65285—31no—
76C24×C3×C5—21no—
77C2×C3×C5×D4—22no—
78C2×C3×C5×D4—22no—
79C2×C3×C5×D4—21no—
80C2×C3×C5×D4C2311yescharacteristic
81C2×C3×C5×D4C2311yescharacteristic
82C22×C3×C4×C5C2311yescharacteristic
83C2×#1220—21no—
84C2×D60C2311yescharacteristic
85C22×C5×Dic3—21no—
86C22×C5×Dic3—21no—
87C22×C5×Dic3—21no—
88C22×C5×Dic3—21no—
89C2×C3×Dic10C2311yescharacteristic
90C2×#1204—21no—
91C2×#1200—21no—
92#6715—22no—
93#6715—22no—
94#6714—21no—
95C4⋊Dic15C2311yescharacteristic
96C2×C3⋊#168C2311yescharacteristic
97C2×C3⋊#168C2311yescharacteristic
98C5×#217—21no—
99C5×#217—21no—
100C5×#217—21no—
101C5×#217—21no—
102C5×#217—21no—
103C5×#217D411yescharacteristic
104C5×#217D411yescharacteristic
105C5×C4⋊Dic3D411yescharacteristic
106C5×C4⋊Dic3D411yescharacteristic
107C5×C4⋊Dic3C2311yescharacteristic
108C5×C4⋊Dic3C2311yescharacteristic
109C4×C5×Dic3—21no—
110C4×C5×Dic3C2311yescharacteristic
111C4×C5×Dic3C2311yescharacteristic
112C3×C22⋊Dic5—21no—
113C3×#687—22no—
114C3×#687—22no—
115C3×C4⋊Dic5C2311yescharacteristic
116C3×#683—21no—
117C2×C3×#168C2311yescharacteristic
118C2×C3×#168C2311yescharacteristic
119Dic3⋊Dic5—21no—
120#6668—21no—
121#6667—21no—
122#6667—21no—
123#6667—21no—
124Dic3×Dic5—21no—
125#5798D511yescharacteristic, complemented
126#5643—51no—
127C3×#450—51no—
128#5217—51no—
129#5165—51no—
130#5165—51no—
131#5164—51no—
132Dic3×SD16—51no—
133#5045—51no—
134#4785—51no—
135#4761—51no—
136#4759—51no—
137#4756—51no—
138#4737—51no—
139#4720—51no—
140C22×C5×D4C2×D311yescharacteristic
141C4×C5×D4—31no—
142C4×C5×D4—31no—
143C4×C5×D4—31no—
144C4×C5×D4—31no—
145C4×C5×D4—61no—
146C4×C5×D4—61no—
147C5×#117—31no—
148C5×#117—31no—
149C2×C5×C22⋊C4—61no—
150C2×C5×C22⋊C4—61no—
151C2×#687C2×D311yescharacteristic
152C2×#687C2×D311yescharacteristic
153C2×#686—31no—
154C2×#686—31no—
155#4076—31no—
156#4070C2×D311yescharacteristic
157#4044—61no—
158#4042—61no—
159#4031—61no—
160#4029—61no—
161#4021—31no—
162C4×D20—31no—
163#4015—31no—
164C4×Dic10—31no—
165#3964—31no—
166#3964—31no—
167#3964C2×D311yescharacteristic
168#3964C2×D311yescharacteristic
169C22⋊#168—31no—
170C22⋊#168C2×D311yescharacteristic
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#3118—151noSylow
184C23×C3×C5—24no—
185C23×C3×C5—21no—
186C23×C3×C5—21no—
187C23×C3×C5—81no—
188C23×C3×C5—81no—
189C23×C3×C5C2×D411yescharacteristic
190C22×D15—21no—
191C3×C5×D4—24no—
192C3×C5×D4—21no—
193C3×C5×D4—21no—
194C3×C5×D4#4112yes—
195C3×C5×D4#4112yes—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5—21no—
198C2×C3×C4×C5C2×D411yescharacteristic
199C2×C3×C4×C5C2411yescharacteristic
200#1220—81no—
201C2×Dic15—21no—
202D60—21no—
203D60—21no—
204C2×C5×Dic3—21no—
205C2×C5×Dic3—21no—
206C2×C5×Dic3—81no—
207C2×C5×Dic3—81no—
208C2×C5×Dic3—81no—
209C2×C5×Dic3—81no—
210C2×C5×Dic3C2×D411yescharacteristic
211C2×C5×Dic3C2×D411yescharacteristic
212C2×C5×Dic3C2×D411yescharacteristic
213C2×C5×Dic3C2×D411yescharacteristic
214C2×C3×Dic5—21no—
215C2×C3×Dic5—21no—
216C3×Dic10—21no—
217C3×Dic10—21no—
218#1204—81no—
219#1200—81no—
220C3⋊#168—21no—
221C3⋊#168—21no—
222C3×#168—21no—
223C3×#168—21no—
224C22×C3×D4C2×D511yescharacteristic
225C2×C3×SD16—51no—
226C2×C3×SD16—51no—
227C3×C22⋊Q8—51no—
228C2×#217—21no—
229C2×#217—21no—
230#947—51no—
231Q8×Dic3—51no—
232D4×Dic3—21no—
233D4×Dic3—21no—
234D4×Dic3C2×D511yescharacteristic
235D4×Dic3C2×D511yescharacteristic
236D4×Dic3C2×D511yescharacteristic
237D4×Dic3C2×D511yescharacteristic
238C2×#213—51no—
239C2×#213—51no—
240#930—51no—
241#926C2×D511yescharacteristic
242#926C2×D511yescharacteristic
243#898—101no—
244#897—101no—
245#893—51no—
246#888—51no—
247#885—101no—
248#883—101no—
249C3×#102—51no—
250C3×#102—51no—
251C3×C22⋊C8—51no—
252#835—51no—
253#835—51no—
254#832—51no—
255#832—51no—
256#830—51no—
257#821—51no—
258#821—51no—
259#818—51no—
260#817—51no—
261#815—51no—
262Dic3⋊C8—51no—
263Dic3⋊C8—51no—
264C8×Dic3—51no—
265#808—51no—
266#807—51no—
267C24×C5—21no—
268C2×C5×D4—22no—
269C2×C5×D4—22no—
270C2×C5×D4—21no—
271C2×C5×D4C22×D311yescharacteristic
272C2×C5×D4C22×D311yescharacteristic
273C22×C4×C5—61no—
274C22×C4×C5—61no—
275C22×C4×C5—61no—
276C22×C4×C5—61no—
277C22×C4×C5C22×D311yescharacteristic
278C2×C22⋊D5—61no—
279C2×D20—31no—
280C2×C4×D5—61no—
281C2×Dic10—61no—
282C2×Dic10C22×D311yescharacteristic
283C5×C4⋊C4—31no—
284C5×C4⋊C4—31no—
285C5×C4⋊C4—31no—
286C5×C4⋊C4—31no—
287C5×C22⋊C4—31no—
288C5×C22⋊C4—31no—
289C5×C22⋊C4—61no—
290C5×C22⋊C4—61no—
291C5×C22⋊C4—61no—
292C5×C22⋊C4—61no—
293C5×C22⋊C4—61no—
294C42×C5—31no—
295C42×C5—31no—
296C42×C5—61no—
297C22⋊Dic5—21no—
298#687—22no—
299#687—22no—
300#686—62no—
301#686—62no—
302#685—61no—
303#685—61no—
304#685—61no—
305#685—61no—
306C4⋊Dic5—31no—
307C4⋊Dic5—61no—
308C4⋊Dic5C22×D311yescharacteristic
309#683—21no—
310#683—61no—
311C4×Dic5—61no—
312C2×#168—31no—
313C2×#168—31no—
314C2×#168C22×D311yescharacteristic
315C2×#168C22×D311yescharacteristic
316#542—151no—
317#518—31no—
318#485—151no—
319#482—151no—
320#476—151no—
321#474—151no—
322#463—151no—
323#463—151no—
324#450—51no—
325#447—151no—
326#442—151no—
327#440—151no—
328C4×SD16—151no—
329C4×D8—151no—
330#433—151no—
331C22×C3×C5—21no—
332C22×C3×C5—22no—
333C22×C3×C5—22no—
334C22×C3×C5—21no—
335C22×C3×C5—21no—
336C22×C3×C5—41no—
337C22×C3×C5—41no—
338C22×C3×C5—41no—
339C22×C3×C5—41no—
340C22×C3×C5—84no—
341C22×C3×C5C22×D411yescharacteristic
342C2×D15—41no—
343C2×D15—41no—
344C2×D15—41no—
345C3×C4×C5—21no—
346C3×C4×C5C2×#4111yescharacteristic
347C3×C4×C5C2×#4111yescharacteristic
348Dic15—41no—
349C3×Dic5—41no—
350C3×Dic5—41no—
351C5×Dic3—21no—
352C5×Dic3—21no—
353C5×Dic3—21no—
354C5×Dic3—21no—
355C5×Dic3—41no—
356C5×Dic3—41no—
357C24×C3—21no—
358C2×C3×Q8—51no—
359C2×C3×D4—22no—
360C2×C3×D4—22no—
361C2×C3×D4—21no—
362C2×C3×D4C22×D511yescharacteristic
363C2×C3×D4C22×D511yescharacteristic
364C22×C3×C4C22×D511yescharacteristic
365C2×#67—101no—
366C22×Dic3—21no—
367C22×Dic3—21no—
368C22×Dic3—21no—
369C22×Dic3—21no—
370C2×D12—51no—
371C2×C4×D3—101no—
372C2×Dic6—101no—
373C3×SD16—102no—
374C3×SD16—102no—
375C2×C3×C8—51no—
376C2×C3×C8—51no—
377C3×C4⋊C4—51no—
378C3×C4⋊C4—101no—
379C3×C22⋊C4—101no—
380#217—21no—
381#217—21no—
382#217—21no—
383#217—21no—
384#217—21no—
385#217C22⋊D511yescharacteristic
386#217C22⋊D511yescharacteristic
387#213—102no—
388#213—102no—
389(C2×D3)⋊C4—101no—
390(C2×D3)⋊C4—101no—
391(C2×D3)⋊C4—101no—
392(C2×D3)⋊C4—101no—
393C4⋊Dic3—51no—
394C4⋊Dic3—101no—
395C4⋊Dic3C22⋊D511yescharacteristic
396C4⋊Dic3C22⋊D511yescharacteristic
397C4⋊Dic3C22×D511yescharacteristic
398C4⋊Dic3C22×D511yescharacteristic
399Dic3⋊C4—101no—
400C4×Dic3—21no—
401C4×Dic3—101no—
402C4×Dic3C22×D511yescharacteristic
403C4×Dic3C22×D511yescharacteristic
404C2×C3⋊C8—51no—
405C2×C3⋊C8—51no—
406C23×C5—24no—
407C23×C5—21no—
408C23×C5—21no—
409C23×C5—81no—
410C23×C5—81no—
411C23×C5D3×D411yescharacteristic
412C22×D5—61no—
413C5×D4—24no—
414C5×D4—21no—
415C5×D4—21no—
416C5×D4#23712yes—
417C5×D4#23712yes—
418C2×C4×C5—21no—
419C2×C4×C5—21no—
420C2×C4×C5—31no—
421C2×C4×C5—31no—
422C2×C4×C5—31no—
423C2×C4×C5—31no—
424C2×C4×C5—61no—
425C2×C4×C5—61no—
426C2×C4×C5—241no—
427C2×C4×C5—241no—
428C2×C4×C5—241no—
429C2×C4×C5—241no—
430C2×C4×C5D3×D411yescharacteristic
431C2×C4×C5C23×D311yescharacteristic
432C22⋊D5—241no—
433C2×Dic5—21no—
434C2×Dic5—21no—
435C2×Dic5—61no—
436D20—61no—
437D20—61no—
438C4×D5—241no—
439Dic10—21no—
440Dic10—21no—
441Dic10—241no—
442#168—21no—
443#168—21no—
444#168—61no—
445#168—61no—
446C22×D4D3×D511yescharacteristic
447C2×SD16—51no—
448C2×SD16—51no—
449C2×D8—151no—
450C2×D8—151no—
451C4⋊Q8—151no—
452#126—301no—
453#124—151no—
454#124—301no—
455#123—301no—
456C22⋊Q8—51no—
457C22⋊Q8—301no—
458#121—151no—
459C4×Q8—151no—
460C4×D4—31no—
461C4×D4—31no—
462C4×D4—31no—
463C4×D4—31no—
464C4×D4—61no—
465C4×D4—61no—
466C4×D4—151no—
467#117—31no—
468#117—31no—
469C2×C22⋊C4—61no—
470C2×C22⋊C4—61no—
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—42no—
491C2×C3×C5—42no—
492C2×C3×C5#52511yescharacteristic
493C2×C3×C5#57611yescharacteristic
494C2×C3×C5#57711yescharacteristic
495D15—81no—
496C23×C3—24no—
497C23×C3—21no—
498C23×C3—21no—
499C23×C3—81no—
500C23×C3—81no—
501C23×C3C2×C22⋊D511yescharacteristic
502C22×D3—101no—
503C3×Q8—101no—
504C3×Q8—101no—
505C3×D4—24no—
506C3×D4—21no—
507C3×D4—21no—
508C3×D4#70912yes—
509C3×D4#70912yes—
510C2×C3×C4—21no—
511C2×C3×C4—21no—
512C2×C3×C4—101no—
513C2×C3×C4—101no—
514C2×C3×C4C2×C22⋊D511yescharacteristic
515C2×C3×C4C23×D511yescharacteristic
516#67—401no—
517C2×Dic3—21no—
518C2×Dic3—21no—
519C2×Dic3—81no—
520C2×Dic3—81no—
521C2×Dic3—81no—
522C2×Dic3—81no—
523C2×Dic3—101no—
524C2×Dic3C2×C22⋊D511yescharacteristic
525C2×Dic3C2×C22⋊D511yescharacteristic
526C2×Dic3C2×C22⋊D511yescharacteristic
527C2×Dic3C2×C22⋊D511yescharacteristic
528D12—101no—
529D12—101no—
530C4×D3—401no—
531Dic6—401no—
532C3×C8—101no—
533C3×C8—101no—
534C3⋊C8—101no—
535C3⋊C8—101no—
536C22×C5—21no—
537C22×C5—21no—
538C22×C5—21no—
539C22×C5—22no—
540C22×C5—22no—
541C22×C5—41no—
542C22×C5—41no—
543C22×C5—41no—
544C22×C5—41no—
545C22×C5—84no—
546C22×C5C2×D3×D411yescharacteristic
547C2×D5—121no—
548C2×D5—121no—
549C2×D5—121no—
550C4×C5—21no—
551C4×C5—61no—
552C4×C5—61no—
553C4×C5—61no—
554C4×C5—61no—
555C4×C5—121no—
556C4×C5—121no—
557C4×C5C2×#23711yescharacteristic
558C4×C5C2×#23711yescharacteristic
559Dic5—41no—
560Dic5—41no—
561Dic5—121no—
562C24—21no—
563C2×Q8—51no—
564C2×Q8—301no—
565C2×D4—22no—
566C2×D4—22no—
567C2×D4—21no—
568C2×D4—151no—
569C2×D4—301no—
570C2×D4C2×D3×D511yescharacteristic
571C2×D4C2×D3×D511yescharacteristic
572C22×C4—61no—
573C22×C4—61no—
574C22×C4—61no—
575C22×C4—61no—
576C22×C4—301no—
577C22×C4C2×D3×D511yescharacteristic
578SD16—102no—
579SD16—102no—
580D8—302no—
581D8—302no—
582C2×C8—51no—
583C2×C8—51no—
584C2×C8—151no—
585C2×C8—151no—
586C4⋊C4—31no—
587C4⋊C4—31no—
588C4⋊C4—31no—
589C4⋊C4—31no—
590C4⋊C4—51no—
591C4⋊C4—101no—
592C4⋊C4—151no—
593C4⋊C4—301no—
594C4⋊C4—301no—
595C22⋊C4—31no—
596C22⋊C4—31no—
597C22⋊C4—61no—
598C22⋊C4—61no—
599C22⋊C4—61no—
600C22⋊C4—61no—
601C22⋊C4—61no—
602C22⋊C4—101no—
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—22no—
614C22×C3—22no—
615C22×C3—21no—
616C22×C3—21no—
617C22×C3—41no—
618C22×C3—41no—
619C22×C3—41no—
620C22×C3—41no—
621C22×C3—84no—
622C22×C3C22×C22⋊D511yescharacteristic
623C2×D3—201no—
624C2×D3—201no—
625C2×D3—201no—
626C3×C4—21no—
627C3×C4—201no—
628C3×C4—201no—
629C3×C4C2×#70911yescharacteristic
630C3×C4C2×#70911yescharacteristic
631Dic3—21no—
632Dic3—21no—
633Dic3—21no—
634Dic3—21no—
635Dic3—41no—
636Dic3—41no—
637Dic3—201no—
638C2×C5—41no—
639C2×C5—42no—
640C2×C5—42no—
641C2×C5#558611yescharacteristic
642C2×C5#576211yescharacteristic
643C2×C5#577411yescharacteristic
644D5—241no—
645C23—24no—
646C23—21no—
647C23—21no—
648C23—81no—
649C23—81no—
650C23—301no—
651C23D3×C22⋊D511yescharacteristic
652Q8—101no—
653Q8—101no—
654Q8—1201no—
655D4—24no—
656D4—21no—
657D4—21no—
658D4—301no—
659D4—301no—
660D4—1201no—
661D4#677912yes—
662D4#677912yes—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—31no—
666C2×C4—31no—
667C2×C4—31no—
668C2×C4—31no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—101no—
672C2×C4—101no—
673C2×C4—241no—
674C2×C4—241no—
675C2×C4—241no—
676C2×C4—241no—
677C2×C4—301no—
678C2×C4—1201no—
679C2×C4D3×C22⋊D511yescharacteristic
680C2×C4C22×D3×D511yescharacteristic
681C8—101no—
682C8—101no—
683C8—301no—
684C8—301no—
685C2×C3—41no—
686C2×C3—42no—
687C2×C3—42no—
688C2×C3#6612511yescharacteristic
689C2×C3#6616911yescharacteristic
690C2×C3#6617011yescharacteristic
691D3—401no—
692C5#8013611yescharacteristic, complemented, Sylow
693C22—21no—
694C22—22no—
695C22—22no—
696C22—21no—
697C22—21no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—84no—
703C22—601no—
704C22—601no—
705C22—601no—
706C22C2×D3×C22⋊D511yescharacteristic
707C4—21no—
708C4—61no—
709C4—61no—
710C4—61no—
711C4—61no—
712C4—121no—
713C4—121no—
714C4—201no—
715C4—201no—
716C4—601no—
717C4C2×#677911yescharacteristic
718C4C2×#677911yescharacteristic
719C3#1061427211yescharacteristic, complemented, Sylow
720C2—41no—
721C2—42no—
722C2—42no—
723C2—1201no—
724C2#1175469811yescharacteristic
725C2#1175471111yescharacteristic
726C2#1175538811yescharacteristic
subgroupG/H
centerC22C2×D3×C22⋊D5
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC22×C3×C5×D4C22
socleC22×C3×C5C22×D4
prime radical#11751318C2
hypercenterC22×D4D3×D5
hypocenterC3×C5#3118
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C5×#5798C2semidirect
2. #11754185C2semidirect
4. C3×#65507C2semidirect
5. #11749113C2semidirect
6. #11749112C2semidirect
7. #11749080C2semidirect
8. #11749080C2semidirect
9. #11749010C2semidirect
10. Dic3×#687C2semidirect
11. #11748989C2semidirect
12. #11748986C2semidirect
13. #11748402C2semidirect
14. #11748373C2semidirect
15. #11748330C2semidirect
36. #91469C22semidirect
37. #91428C22semidirect
39. #91374C22semidirect
41. Dic3×Dic10C22semidirect
48. #90989C22semidirect
49. #90988C22semidirect
50. #90986C22semidirect
51. #90985C22semidirect
52. Dic3⋊#168C22semidirect
53. Dic3⋊#168C22semidirect
54. #90970C22semidirect
55. #90970C22semidirect
56. #90969C22semidirect
57. #90969C22semidirect
58. #90953C22semidirect
59. Dic3×#168C22semidirect
63. #65507D3semidirect
125. #5798D5semidirect
611. C3×C5#3118semidirect
692. C5#80136semidirect
719. C3#10614272semidirect

Maximal subgroups

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

subgroupindex
C5×#57982
#117541852
#117513182
C3×#655072
#117491132
#117491122
#117490802
#117490102
Dic3×#6872
#117489892
#117489862
#117484022
#117483732
#117483302
#106142723
#801365