Finite Group Databasebeta

← #14435613

Subgroups — #14435613

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
1#11754504C211yesmaximal, characteristic, complemented
2#11754503C211yesmaximal, characteristic, complemented
3#11750824C211yesmaximal, characteristic, complemented
4C5×#4732C211yesmaximal, characteristic
5C3×#65009C211yesmaximal, characteristic, complemented
6#11748543C211yesmaximal, characteristic, complemented
7#11748378C211yesmaximal, characteristic, complemented
8#11747777C211yesmaximal, characteristic, complemented
9#11747777C211yesmaximal, characteristic, complemented
10#11747775C211yesmaximal, characteristic, complemented
11#11747765C211yesmaximal, characteristic, complemented
12Dic5×D24C211yesmaximal, characteristic, complemented
13#11747758C211yesmaximal, characteristic, complemented
14#11747747C211yesmaximal, characteristic, complemented
15#11747744C211yesmaximal, characteristic, complemented
16#10611723—31nomaximal, Hall
17C22×C5×D12C2211yescharacteristic
18#91815C2211yescharacteristic
19#91813C2211yescharacteristic
20C5×#930C2211yescharacteristic
21C2×C5×D24C2211yescharacteristic
22C2×C5×D24C2211yescharacteristic
23C3×#4072C2211yescharacteristic
24#91555—21no—
25D3×C22⋊Dic5—21no—
26D3×C22⋊Dic5—21no—
27#91525—21no—
28#91468C2211yescharacteristic, complemented
29#91436—21no—
30#91435—21no—
31#91435—21no—
32Dic5×D12C2211yescharacteristic
33Dic5×D12C2211yescharacteristic
34Dic5×D12C2211yescharacteristic
35Dic5×D12C2211yescharacteristic
36Dic5×D12C2211yescharacteristic, complemented
37#91373C2211yescharacteristic, complemented
38#91341—21no—
39#91333C2211yescharacteristic, complemented
40C2×#6659C2211yescharacteristic
41C2×#6659C2211yescharacteristic
42C3×C5×C22⋊C8C2211yescharacteristic
43#91102C2211yescharacteristic, complemented
44#91101C2211yescharacteristic, complemented
45#91100C2211yescharacteristic, complemented
46#91100C2211yescharacteristic, complemented
47C5×#821C2211yescharacteristic
48C5×#821C2211yescharacteristic
49C3×C22⋊#168C2211yescharacteristic
50C3×#3947C2211yescharacteristic, complemented
51C3×#3946C2211yescharacteristic, complemented
52C3×#3946C2211yescharacteristic, complemented
53C3×C8×Dic5C2211yescharacteristic, complemented
54#90988C2211yescharacteristic, complemented
55#90985C2211yescharacteristic, complemented
56#90967C2211yescharacteristic
57#90967C2211yescharacteristic
58#90967C2211yescharacteristic, complemented
59#90967C2211yescharacteristic, complemented
60#79383—51nomaximal, Hall
61#66132—31no—
62#65937—31no—
63C5×#447—31no—
64#65507—31no—
65#65442—31no—
66#65442—31no—
67#65441—31no—
68D8×Dic5—31no—
69#65324—31no—
70#65050—31no—
71#65048—31no—
72#65047—31no—
73#65046—31no—
74#65012—31no—
75#65009D311yescharacteristic, complemented
76C23×C5×D3—21no—
77C22×C3×C4×C5C2311yescharacteristic
78C2×Dic30C2311yescharacteristic
79C2×C5×#67—21no—
80C2×C5×D12—21no—
81C2×C5×D12—22no—
82C2×C5×D12—22no—
83C2×C5×D12C2311yescharacteristic
84C2×C5×D12C2311yescharacteristic
85C2×C5×D12C2311yescharacteristic
86C2×#1204—21no—
87C2×D3×Dic5—21no—
88C2×D3×Dic5—21no—
89C2×D3×Dic5—21no—
90C2×D3×Dic5—21no—
91C2×D3×Dic5—21no—
92C2×C3×C5×C8C2311yescharacteristic
93C2×C3×C5×C8C2311yescharacteristic
94#6719—21no—
95#6719—21no—
96C4⋊Dic15C2311yescharacteristic
97C4⋊Dic15C2311yescharacteristic
98C4⋊Dic15C2311yescharacteristic
99#6712—21no—
100C4×Dic15—21no—
101C5×(C2×D3)⋊C4—21no—
102C5×C4⋊Dic3C2311yescharacteristic
103C5×D24—22no—
104C5×D24—22no—
105C3×C22⋊Dic5D411yescharacteristic
106C3×C22⋊Dic5D411yescharacteristic
107C3×C4⋊Dic5D411yescharacteristic
108C3×C4⋊Dic5D411yescharacteristic
109C3×C4×Dic5C2311yescharacteristic
110C3×C4×Dic5C2311yescharacteristic
111C2×C3×#168C2311yescharacteristic
112C2×C3×#168C2311yescharacteristic
113#6669—21no—
114#6668—21no—
115(C2×D3)⋊Dic5—21no—
116(C2×D3)⋊Dic5—21no—
117(C2×D3)⋊Dic5—21no—
118(C2×D3)⋊Dic5—21no—
119(C2×D3)⋊Dic5—21no—
120(C2×D3)⋊Dic5—21no—
121(C2×D3)⋊Dic5—21no—
122Dic3×Dic5—21no—
123#6659—22no—
124#6659—22no—
125#5534—51no—
126#5521—51no—
127C3×#433—51no—
128#4846—51no—
129#4844—51no—
130#4844—51no—
131#4842—51no—
132#4737—51no—
133#4732D511yescharacteristic
134#4731—51no—
135#4723—51no—
136#4711—51no—
137#4710—51no—
138C4×D24—51no—
139C4×#204—51no—
140C22×C5×D4—31no—
141C2×C5×D8—31no—
142C2×C5×D8—31no—
143C5×#121—31no—
144C2×C22⋊Dic5—61no—
145C2×C22⋊Dic5—61no—
146#4082—31no—
147#4082—61no—
148#4081—61no—
149D4×Dic5—31no—
150D4×Dic5—31no—
151D4×Dic5—31no—
152D4×Dic5—31no—
153D4×Dic5—31no—
154D4×Dic5—61no—
155D4×Dic5—61no—
156C2×#687—31no—
157C2×#687—31no—
158#4072—31no—
159#4072C2×D311yescharacteristic
160#4070—31no—
161#4034—31no—
162#4033—31no—
163#4025—61no—
164#4024—61no—
165C5×#102—31no—
166C5×#102—31no—
167C5×C22⋊C8C2×D311yescharacteristic
168#3964—31no—
169#3964—31no—
170#3964—31no—
171#3964—31no—
172C22⋊#168C2×D311yescharacteristic
173#3950—31no—
174#3949—31no—
175#3948—31no—
176#3948—31no—
177#3947C2×D311yescharacteristic, complemented
178#3946C2×D311yescharacteristic, complemented
179#3946C2×D311yescharacteristic, complemented
180C8×Dic5C2×D311yescharacteristic, complemented
181#3940—31no—
182#3939—31no—
183#3118—151noSylow
184C23×C3×C5C2×D411yescharacteristic
185C22×C5×D3—21no—
186C22×C5×D3—21no—
187C22×C5×D3—24no—
188C22×C5×D3—21no—
189C22×C5×D3—81no—
190C22×C5×D3—81no—
191C2×C3×C4×C5—21no—
192C2×C3×C4×C5—21no—
193C2×C3×C4×C5C2×D411yescharacteristic
194C2×C3×C4×C5C2411yescharacteristic
195C2×Dic15—21no—
196C2×Dic15—21no—
197C2×Dic15—21no—
198C2×Dic15—21no—
199Dic30—21no—
200Dic30—21no—
201C5×#67—81no—
202C2×C5×Dic3—21no—
203C5×D12—24no—
204C5×D12—21no—
205C5×D12—21no—
206C5×D12—21no—
207C5×D12—21no—
208C5×D12#4112yes—
209C5×D12#4112yes—
210C2×C3×Dic5C2×D411yescharacteristic
211C2×C3×Dic5C2×D411yescharacteristic
212C2×C3×Dic5C2×D411yescharacteristic
213C2×C3×Dic5C2×D411yescharacteristic
214#1204—81no—
215D3×Dic5—81no—
216D3×Dic5—81no—
217D3×Dic5—81no—
218D3×Dic5—81no—
219D3×Dic5—81no—
220C3×C5×C8—21no—
221C3×C5×C8—21no—
222C3×#168—21no—
223C3×#168—21no—
224C22×D12C2×D511yescharacteristic
225C3×#117—51no—
226#930C2×D511yescharacteristic
227#926—51no—
228#924—51no—
229C2×D24C2×D511yescharacteristic
230C2×D24C2×D511yescharacteristic
231C2×#204—51no—
232C2×#204—51no—
233#898—101no—
234#896—101no—
235#893—101no—
236#893—101no—
237#885—101no—
238#883—101no—
239D3×C22⋊C4—101no—
240D3×C22⋊C4—101no—
241#875—51no—
242C4×D12—51no—
243C4×D12—51no—
244C4×D12—51no—
245C4×D12—51no—
246C4×D12—51no—
247#869—51no—
248C4×Dic6—51no—
249C3×C4⋊C8—51no—
250C3×C4⋊C8—51no—
251C3×C22⋊C8—51no—
252C3×C22⋊C8C2×D511yescharacteristic
253C3×#97—51no—
254C3×C4×C8—51no—
255#821—51no—
256#821—51no—
257#821—51no—
258#821—51no—
259#821C2×D511yescharacteristic
260#821C2×D511yescharacteristic
261#818—51no—
262#818—51no—
263#817—51no—
264#817—51no—
265#816—51no—
266#816—51no—
267C24×C5—61no—
268C2×C5×D4—31no—
269C2×C5×D4—31no—
270C2×C5×D4—31no—
271C2×C5×D4—62no—
272C2×C5×D4—62no—
273C2×C5×D4—61no—
274C2×C5×D4—61no—
275C22×C4×C5C22×D311yescharacteristic
276C22×Dic5—61no—
277C22×Dic5—61no—
278C22×Dic5—61no—
279C22×Dic5—61no—
280C22×Dic5—61no—
281C2×Dic10—31no—
282C2×Dic10—61no—
283C5×D8—62no—
284C5×D8—62no—
285C2×C5×C8C22×D311yescharacteristic
286C2×C5×C8C22×D311yescharacteristic
287C5×C4⋊C4—31no—
288C5×C22⋊C4—61no—
289C22⋊Dic5—61no—
290C22⋊Dic5—61no—
291C22⋊Dic5—61no—
292C22⋊Dic5—61no—
293C22⋊Dic5—61no—
294C22⋊Dic5—61no—
295C22⋊Dic5—61no—
296C22⋊Dic5—61no—
297C22⋊Dic5—61no—
298C22⋊Dic5D1211yescharacteristic
299C22⋊Dic5D1211yescharacteristic
300#687—62no—
301#687—62no—
302C4⋊Dic5—31no—
303C4⋊Dic5—31no—
304C4⋊Dic5—31no—
305C4⋊Dic5D1211yescharacteristic
306C4⋊Dic5D1211yescharacteristic
307#683—61no—
308#683—61no—
309#683—61no—
310C4×Dic5—61no—
311C4×Dic5—61no—
312C4×Dic5C22×D311yescharacteristic
313C4×Dic5C22×D311yescharacteristic
314C2×#168C22×D311yescharacteristic
315C2×#168C22×D311yescharacteristic
316#542—151no—
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—31no—
326#442—151no—
327#440—151no—
328C4×SD16—151no—
329C4×D8—151no—
330#433—51no—
331C22×C3×C5—21no—
332C22×C3×C5—21no—
333C22×C3×C5—21no—
334C22×C3×C5C22×D411yescharacteristic
335C2×C5×D3—22no—
336C2×C5×D3—22no—
337C2×C5×D3—41no—
338C2×C5×D3—41no—
339C2×C5×D3—41no—
340C2×C5×D3—41no—
341C2×C5×D3—41no—
342C2×C5×D3—41no—
343C2×C5×D3—41no—
344C2×C5×D3—84no—
345C3×C4×C5—21no—
346C3×C4×C5C2×#4111yescharacteristic
347C3×C4×C5C2×#4111yescharacteristic
348Dic15—41no—
349Dic15—41no—
350Dic15—41no—
351Dic15—41no—
352C3×Dic5—21no—
353C3×Dic5—21no—
354C3×Dic5—21no—
355C3×Dic5—21no—
356C5×Dic3—41no—
357C23×D3—21no—
358C22×C3×C4C22×D511yescharacteristic
359C2×#67—21no—
360C2×D12—21no—
361C2×D12—22no—
362C2×D12—22no—
363C2×D12C22×D511yescharacteristic
364C2×D12C22×D511yescharacteristic
365C2×D12C22×D511yescharacteristic
366C2×C4×D3—101no—
367C2×C4×D3—101no—
368C2×C4×D3—101no—
369C2×C4×D3—101no—
370C2×C4×D3—101no—
371C2×Dic6—51no—
372C2×Dic6—101no—
373C2×C3×C8—51no—
374C2×C3×C8—51no—
375C2×C3×C8C22×D511yescharacteristic
376C2×C3×C8C22×D511yescharacteristic
377C3×C4⋊C4—51no—
378C3×C4⋊C4—51no—
379C3×C22⋊C4—51no—
380C3×C22⋊C4—51no—
381C3×C42—51no—
382C3×C42—51no—
383#217—101no—
384#217—101no—
385(C2×D3)⋊C4—21no—
386(C2×D3)⋊C4—101no—
387(C2×D3)⋊C4—101no—
388(C2×D3)⋊C4—101no—
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—51no—
395C4⋊Dic3—51no—
396C4⋊Dic3—101no—
397C4⋊Dic3C22×D511yescharacteristic
398Dic3⋊C4—101no—
399Dic3⋊C4—101no—
400C4×Dic3—101no—
401C4×Dic3—101no—
402D24—22no—
403D24—22no—
404#204—102no—
405#204—102no—
406C23×C5—64no—
407C23×C5—61no—
408C23×C5—61no—
409C23×C5—61no—
410C23×C5—241no—
411C23×C5—241no—
412C23×C5C2×D1211yescharacteristic
413C5×D4—32no—
414C5×D4—32no—
415C5×D4—64no—
416C5×D4—61no—
417C5×D4—61no—
418C5×D4—61no—
419C5×D4—61no—
420C5×D4—241no—
421C2×C4×C5—21no—
422C2×C4×C5—21no—
423C2×C4×C5—61no—
424C2×C4×C5C2×D1211yescharacteristic
425C2×C4×C5C23×D311yescharacteristic
426C2×Dic5—61no—
427C2×Dic5—61no—
428C2×Dic5—61no—
429C2×Dic5—61no—
430C2×Dic5—241no—
431C2×Dic5—241no—
432C2×Dic5—241no—
433C2×Dic5—241no—
434C2×Dic5—241no—
435C2×Dic5C2×D1211yescharacteristic
436C2×Dic5C2×D1211yescharacteristic
437C2×Dic5C2×D1211yescharacteristic
438C2×Dic5C2×D1211yescharacteristic
439Dic10—61no—
440Dic10—61no—
441Dic10—241no—
442C5×C8—21no—
443C5×C8—21no—
444#168—21no—
445#168—21no—
446C22×D4—31no—
447C2×SD16—151no—
448C2×SD16—151no—
449C2×D8—31no—
450C2×D8—31no—
451C4⋊Q8—151no—
452#126—301no—
453#124—151no—
454#124—301no—
455#123—301no—
456C22⋊Q8—151no—
457C22⋊Q8—301no—
458#121—31no—
459C4×Q8—151no—
460C4×D4—151no—
461C4×D4—151no—
462C4×D4—151no—
463C4×D4—151no—
464C4×D4—151no—
465C4×D4—301no—
466C4×D4—301no—
467#117—51no—
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—51no—
476C4⋊C8—51no—
477#103—151no—
478#103—151no—
479#102—31no—
480#102—31no—
481#102—151no—
482#102—151no—
483#102—151no—
484#102—151no—
485C22⋊C8—51no—
486C22⋊C8D3×D511yescharacteristic
487#97—51no—
488C4×C8—51no—
489C2×C3×C5—41no—
490C2×C3×C5#52511yescharacteristic
491C2×C3×C5#57611yescharacteristic
492C2×C3×C5#57711yescharacteristic
493C5×D3—42no—
494C5×D3—42no—
495C5×D3—81no—
496C23×C3D4×D511yescharacteristic
497C22×D3—21no—
498C22×D3—21no—
499C22×D3—24no—
500C22×D3—21no—
501C22×D3—81no—
502C22×D3—81no—
503C2×C3×C4—21no—
504C2×C3×C4—21no—
505C2×C3×C4—51no—
506C2×C3×C4—51no—
507C2×C3×C4—51no—
508C2×C3×C4—51no—
509C2×C3×C4D4×D511yescharacteristic
510C2×C3×C4C23×D511yescharacteristic
511#67—81no—
512C2×Dic3—21no—
513C2×Dic3—101no—
514C2×Dic3—101no—
515C2×Dic3—101no—
516C2×Dic3—101no—
517D12—24no—
518D12—21no—
519D12—21no—
520D12—21no—
521D12—21no—
522D12#71112yes—
523D12#71112yes—
524C4×D3—401no—
525C4×D3—401no—
526C4×D3—401no—
527C4×D3—401no—
528C4×D3—401no—
529Dic6—101no—
530Dic6—101no—
531Dic6—401no—
532C3×C8—21no—
533C3×C8—21no—
534C3×C8—101no—
535C3×C8—101no—
536C22×C5—21no—
537C22×C5—21no—
538C22×C5—21no—
539C22×C5—62no—
540C22×C5—62no—
541C22×C5—121no—
542C22×C5—121no—
543C22×C5—121no—
544C22×C5—121no—
545C22×C5—121no—
546C22×C5—121no—
547C22×C5—121no—
548C22×C5—244no—
549C22×C5C22×D1211yescharacteristic
550C4×C5—21no—
551C4×C5—121no—
552C4×C5D3×#4111yescharacteristic
553C4×C5D3×#4111yescharacteristic
554Dic5—21no—
555Dic5—21no—
556Dic5—21no—
557Dic5—21no—
558Dic5—121no—
559Dic5—121no—
560Dic5—121no—
561Dic5—121no—
562C24—61no—
563C2×Q8—151no—
564C2×Q8—301no—
565C2×D4—31no—
566C2×D4—31no—
567C2×D4—31no—
568C2×D4—62no—
569C2×D4—62no—
570C2×D4—61no—
571C2×D4—61no—
572C22×C4—301no—
573C22×C4—301no—
574C22×C4—301no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4C2×D3×D511yescharacteristic
578SD16—302no—
579SD16—302no—
580D8—62no—
581D8—62no—
582C2×C8—51no—
583C2×C8—51no—
584C2×C8C2×D3×D511yescharacteristic
585C2×C8C2×D3×D511yescharacteristic
586C4⋊C4—31no—
587C4⋊C4—51no—
588C4⋊C4—51no—
589C4⋊C4—151no—
590C4⋊C4—151no—
591C4⋊C4—151no—
592C4⋊C4—301no—
593C4⋊C4—301no—
594C4⋊C4—301no—
595C22⋊C4—51no—
596C22⋊C4—51no—
597C22⋊C4—61no—
598C22⋊C4—301no—
599C22⋊C4—301no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C22⋊C4—301no—
603C22⋊C4—301no—
604C22⋊C4—301no—
605C22⋊C4—301no—
606C22⋊C4—301no—
607C42—51no—
608C42—51no—
609C42—301no—
610C42—301no—
611C3×C5#311811yescharacteristic, complemented, Hall
612C22×C3—21no—
613C22×C3—21no—
614C22×C3—21no—
615C22×C3C2×D4×D511yescharacteristic
616C2×D3—22no—
617C2×D3—22no—
618C2×D3—41no—
619C2×D3—41no—
620C2×D3—41no—
621C2×D3—41no—
622C2×D3—41no—
623C2×D3—41no—
624C2×D3—41no—
625C2×D3—84no—
626C3×C4—21no—
627C3×C4—101no—
628C3×C4—101no—
629C3×C4—101no—
630C3×C4—101no—
631C3×C4C2×#71111yescharacteristic
632C3×C4C2×#71111yescharacteristic
633Dic3—41no—
634Dic3—201no—
635Dic3—201no—
636Dic3—201no—
637Dic3—201no—
638C2×C5—41no—
639C2×C5—122no—
640C2×C5—122no—
641C2×C5—241no—
642C2×C5#552411yescharacteristic
643C2×C5#575111yescharacteristic
644C2×C5#575211yescharacteristic
645C23—64no—
646C23—61no—
647C23—61no—
648C23—61no—
649C23—241no—
650C23—241no—
651C23D5×D1211yescharacteristic
652Q8—301no—
653Q8—301no—
654Q8—1201no—
655D4—32no—
656D4—32no—
657D4—64no—
658D4—61no—
659D4—61no—
660D4—61no—
661D4—61no—
662D4—241no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—51no—
666C2×C4—51no—
667C2×C4—51no—
668C2×C4—51no—
669C2×C4—61no—
670C2×C4—301no—
671C2×C4—301no—
672C2×C4—301no—
673C2×C4—301no—
674C2×C4—1201no—
675C2×C4—1201no—
676C2×C4—1201no—
677C2×C4—1201no—
678C2×C4—1201no—
679C2×C4D5×D1211yescharacteristic
680C2×C4C22×D3×D511yescharacteristic
681C8—21no—
682C8—21no—
683C8—101no—
684C8—101no—
685C2×C3—41no—
686C2×C3#6592011yescharacteristic
687C2×C3#6609111yescharacteristic
688C2×C3#6610911yescharacteristic
689D3—42no—
690D3—42no—
691D3—81no—
692C5#7938311yescharacteristic, complemented, Sylow
693C22—21no—
694C22—21no—
695C22—21no—
696C22—62no—
697C22—62no—
698C22—121no—
699C22—121no—
700C22—121no—
701C22—121no—
702C22—121no—
703C22—121no—
704C22—121no—
705C22—244no—
706C22C2×D5×D1211yescharacteristic
707C4—21no—
708C4—101no—
709C4—101no—
710C4—101no—
711C4—101no—
712C4—121no—
713C4—601no—
714C4—601no—
715C4—601no—
716C4—601no—
717C4D3×#71111yescharacteristic
718C4D3×#71111yescharacteristic
719C3#1061172311yescharacteristic, complemented, Sylow
720C2—41no—
721C2—122no—
722C2—122no—
723C2—241no—
724C2#1175287111yescharacteristic
725C2#1175396111yescharacteristic
726C2#1175402311yescharacteristic
subgroupG/H
centerC22C2×D5×D12
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×C22⋊C8C22
socleC22×C3×C5C22×D4
prime radicalC5×#4732C2
hypercenterC22⋊C8D3×D5
hypocenterC3×C5#3118
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22⋊C8

Complements

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

NH ≅ G/Ntype
1. #11754504C2semidirect
2. #11754503C2semidirect
3. #11750824C2semidirect
5. C3×#65009C2semidirect
6. #11748543C2semidirect
7. #11748378C2semidirect
8. #11747777C2semidirect
9. #11747777C2semidirect
10. #11747775C2semidirect
11. #11747765C2semidirect
12. Dic5×D24C2semidirect
13. #11747758C2semidirect
14. #11747747C2semidirect
15. #11747744C2semidirect
28. #91468C22semidirect
36. Dic5×D12C22semidirect
37. #91373C22semidirect
39. #91333C22semidirect
43. #91102C22semidirect
44. #91101C22semidirect
45. #91100C22semidirect
46. #91100C22semidirect
50. C3×#3947C22semidirect
51. C3×#3946C22semidirect
52. C3×#3946C22semidirect
53. C3×C8×Dic5C22semidirect
54. #90988C22semidirect
55. #90985C22semidirect
58. #90967C22semidirect
59. #90967C22semidirect
75. #65009D3semidirect
177. #3947C2×D3semidirect
178. #3946C2×D3semidirect
179. #3946C2×D3semidirect
180. C8×Dic5C2×D3semidirect
611. C3×C5#3118semidirect
692. C5#79383semidirect
719. C3#10611723semidirect

Maximal subgroups

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

subgroupindex
#117545042
#117545032
#117508242
C5×#47322
C3×#650092
#117485432
#117483782
#117477772
#117477752
#117477652
Dic5×D242
#117477582
#117477472
#117477442
#106117233
#793835