Finite Group Databasebeta

← #14495503

Subgroups — #14495503

Order 1920.

2116 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11756431C211yesmaximal, characteristic, complemented
2C5×#5683C211yesmaximal, characteristic, complemented
3C3×#66002C211yesmaximal, characteristic, complemented
4#11755216C212yesmaximal, complemented
5#11755158C212yesmaximal, complemented
6#11754991C212yesmaximal, complemented
7#11754795C212yesmaximal, complemented
8#11753169C214yesmaximal, complemented
9#11753046C214yesmaximal, complemented
10#11752885C214yesmaximal, complemented
11#11752840C214yesmaximal, complemented
12#11752708C212yesmaximal, complemented
13#11752683C212yesmaximal, complemented
14#10618986—31nomaximal, Hall
15C2×C3×#713C2211yescharacteristic, complemented
16C2×C3×#711C2211yescharacteristic
17C22×D3×Dic5C2212yescomplemented
18C2×#6772C2212yes—
19C3×C5×#124C2211yescharacteristic
20#91833C2212yescomplemented
21#91824C2212yes—
22#91768C2214yescomplemented
23#91767C2214yescomplemented
24#91759C2212yescomplemented
25C5×#947C2212yes—
26C5×#937C2212yes—
27C5×#885C2214yes—
28C5×#882C2214yes—
29C5×#875C2212yes—
30C3×#4090C2211yescharacteristic, complemented
31C3×#4086C2211yescharacteristic
32C3×#4030C2214yescomplemented
33C3×#4027C2214yescomplemented
34C3×#4021C2211yescharacteristic, complemented
35C3×C42×D5C2211yescharacteristic, complemented
36#91571C2214yes—
37#91568C2212yescomplemented
38#91568C2214yescomplemented
39#91565C2214yes—
40Dic5×#67C2214yes—
41#91549C2214yes—
42#91548C2214yescomplemented
43#91537C2212yescomplemented
44#91528C2212yescomplemented
45#91463C2212yes—
46#91457C2214yescomplemented
47#91453C2214yes—
48#91449C2212yes—
49#91447C2214yescomplemented
50#91440C2214yescomplemented
51#91440C2214yescomplemented
52#91432C2214yescomplemented
53#91423C2214yes—
54#91421C2214yescomplemented
55Dic5×D12C2212yes—
56#91414C2214yescomplemented
57#91410C2214yescomplemented
58#91408C2214yescomplemented
59#91408C2214yescomplemented
60#91398C2214yescomplemented
61C4×D5×Dic3C2212yescomplemented
62#91379C2214yescomplemented
63#91372C2214yescomplemented
64#91367C2214yescomplemented
65#91364C2212yescomplemented
66#91359C2212yescomplemented
67Dic5×Dic6C2212yescomplemented
68#86248—51nomaximal, Hall
69C5×H(3,𝔽4)—31no—
70#66018—34no—
71#66018—32no—
72#66014—34no—
73#66014—32no—
74#66006—32no—
75#66006—31no—
76#66002—32no—
77#66002D311yescharacteristic, complemented
78#65929—32no—
79#65929—34no—
80#65920—34no—
81#65920—32no—
82C23×C5×D3C2312yes—
83C2×C3×C5×Q8C2311yescharacteristic
84C2×C3×C5×D4C2311yescharacteristic
85C22×Dic15C2312yes—
86C2×Dic30C2312yes—
87C2×C5×#67C2314yes—
88C2×C5×D12C2312yes—
89C2×C5×D12C2312yes—
90C2×C5×Dic6C2312yes—
91C2×C3×C22⋊D5C2314yes—
92C2×C3×C22⋊D5C2312yes—
93C22×C3×Dic5C2312yes—
94C3×#713—42no—
95C3×#711—42no—
96C2×C3×D20C2311yescharacteristic
97C2×C3×D20C2312yes—
98C2×C3×C4×D5C2311yescharacteristic
99C2×C3×C4×D5C2312yes—
100C2×C3×C4×D5C2312yes—
101C2×C3×Dic10C2311yescharacteristic
102C2×#1201C2314yes—
103C2×#1201C2314yes—
104C2×#1201C2314yes—
105C2×D3×Dic5—44no—
106C2×D3×Dic5C2314yes—
107C2×D3×Dic5C2314yes—
108C2×D5×Dic3C2314yes—
109#6772—44no—
110C3×C5×C22⋊C4C2314yes—
111C3×C42×C5C2311yescharacteristic
112#6719C2314yes—
113#6719C2312yes—
114C4⋊Dic15C2312yes—
115C4⋊Dic15C2312yes—
116#6712C2314yes—
117#6712C2314yes—
118#6712C2314yes—
119C4×Dic15C2312yes—
120C5×#217C2312yes—
121C5×(C2×D3)⋊C4C2314yes—
122C5×(C2×D3)⋊C4C2314yes—
123C5×(C2×D3)⋊C4C2314yes—
124C4×C5×Dic3C2312yes—
125C3×#685C2314yes—
126C3×#683C2314yes—
127C3×C4×Dic5C2312yes—
128C3×C4×Dic5C2311yescharacteristic
129Dic3⋊Dic5C2314yes—
130Dic3⋊Dic5C2314yes—
131#6669C2314yes—
132#6668C2314yes—
133(C2×D3)⋊Dic5C2314yes—
134(C2×D3)⋊Dic5C2314yes—
135(C2×D3)⋊Dic5C2314yes—
136#6665C2314yes—
137#6665C2314yes—
138Dic3×Dic5C2314yes—
139C3×#532—51no—
140#5832—52no—
141#5828—52no—
142#5735—52no—
143#5720—52no—
144#5684—52no—
145#5683D511yescharacteristic, complemented
146#5672—51no—
147#5621—54no—
148#5620—54no—
149#5547—54no—
150#5538—54no—
151#5479—52no—
152C23×Dic5—32no—
153C2×#713C2×D311yescharacteristic, complemented
154C2×#711—32no—
155C2×#711C2×D311yescharacteristic
156C5×#124—32no—
157C5×#124—34no—
158C5×#124—32no—
159C5×#124C2×D311yescharacteristic
160C5×#120—32no—
161C5×#120—34no—
162#4099—32no—
163#4099—34no—
164#4092—32no—
165#4092—34no—
166Q8×Dic5—32no—
167#4090—32no—
168#4090C2×D311yescharacteristic, complemented
169#4086—32no—
170#4086C2×D311yescharacteristic
171#4085—34no—
172#4085—34no—
173#4085—34no—
174#4084—34no—
175#4084—32no—
176#4081—32no—
177#4081—34no—
178D4×Dic5—34no—
179D4×Dic5—32no—
180#4032—32no—
181#4032—34no—
182#4030—34no—
183#4030—34no—
184#4030C2×D314yescomplemented
185#4029—34no—
186#4029—34no—
187#4029—34no—
188#4027—34no—
189#4027—34no—
190#4027C2×D314yescomplemented
191#4025—34no—
192#4025—34no—
193#4025—34no—
194#4024—34no—
195#4024—34no—
196#4024—34no—
197#4023—32no—
198#4023—34no—
199#4021—32no—
200#4021C2×D311yescharacteristic, complemented
201C42×D5—32no—
202C42×D5C2×D311yescharacteristic, complemented
203#4016—32no—
204#4016—34no—
205#3529—151noSylow
206C23×C3×C5C2412yes—
207C22×C5×D3—42no—
208C22×C5×D3—44no—
209C22×C5×D3C2414yes—
210C22×C3×D5C2411yescharacteristic
211C22×C3×D5C2412yes—
212C3×C5×Q8—41no—
213C3×C5×D4—41no—
214C2×C3×C4×C5C2412yes—
215C2×C3×C4×C5C2411yescharacteristic
216C2×C3×C4×C5C2412yes—
217C2×Dic15—42no—
218C2×Dic15C2414yes—
219C2×Dic15C2414yes—
220Dic30—42no—
221C5×#67—44no—
222C2×C5×Dic3C2414yes—
223C5×D12—42no—
224C5×D12—42no—
225C5×Dic6—42no—
226C3×C22⋊D5—42no—
227C3×C22⋊D5—44no—
228C2×C3×Dic5—24no—
229C2×C3×Dic5C2412yes—
230C2×C3×Dic5C2412yes—
231C2×C3×Dic5C2411yescharacteristic
232C3×D20—41no—
233C3×D20—42no—
234C3×C4×D5—24no—
235C3×C4×D5—22no—
236C3×C4×D5—42no—
237C3×Dic10—41no—
238#1201—44no—
239#1201—44no—
240#1201—44no—
241D3×Dic5—28no—
242D3×Dic5—44no—
243D5×Dic3—44no—
244C2×C3×#41—51no—
245C2×C3×#41—51no—
246C2×#235—52no—
247C22×C4×D3—52no—
248C3×C4⋊Q8—51no—
249C3×#127—51no—
250C3×#124—51no—
251C3×#124C2×D511yescharacteristic
252C3×#121—54no—
253C3×C4×D4—54no—
254C2×C3×C42—51no—
255#947C2×D512yes—
256#946—54no—
257#944—52no—
258#940—52no—
259#939—54no—
260#939—54no—
261#939—54no—
262#939—54no—
263#938—54no—
264#937—54no—
265#937—52no—
266#937C2×D512yes—
267#936—52no—
268#935—52no—
269#935—54no—
270#935—52no—
271#930—52no—
272#929—54no—
273C4×#67—54no—
274C4×#67—54no—
275C4×#67—54no—
276#926—52no—
277#924—52no—
278C2×C4×Dic3—52no—
279#898—54no—
280#896—54no—
281#894—54no—
282#889—54no—
283#886—54no—
284#885C2×D514yes—
285#884—54no—
286#883—54no—
287#882C2×D514yes—
288#879—54no—
289#878—54no—
290#878—54no—
291#876—54no—
292#875C2×D512yes—
293C4×D12—52no—
294#872—54no—
295#870—52no—
296C4×Dic6—52no—
297C24×C5—32no—
298C2×C5×Q8—32no—
299C2×C5×Q8C22×D311yescharacteristic
300C2×C5×D4—34no—
301C2×C5×D4—32no—
302C2×C5×D4—32no—
303C2×C5×D4C22×D311yescharacteristic
304C2×C22⋊D5—34no—
305C2×C22⋊D5—34no—
306C2×C22⋊D5—34no—
307C2×C22⋊D5C22×D312yes—
308C2×C22⋊D5C22×D314yes—
309C22×Dic5—32no—
310C22×Dic5—34no—
311C22×Dic5—34no—
312C22×Dic5—124no—
313C22×Dic5C22×D312yes—
314#713—42no—
315#711—42no—
316#711—124no—
317C2×D20C22×D312yes—
318C2×D20C22×D311yescharacteristic
319C2×C4×D5—34no—
320C2×C4×D5C22×D312yes—
321C2×C4×D5C22×D311yescharacteristic
322C2×C4×D5C22×D312yes—
323C2×Dic10—32no—
324C2×Dic10C22×D311yescharacteristic
325C5×C22⋊C4—32no—
326C5×C22⋊C4—34no—
327C5×C22⋊C4—34no—
328C5×C22⋊C4—34no—
329C5×C22⋊C4C22×D314yes—
330C42×C5—32no—
331C42×C5C22×D311yescharacteristic
332C22⋊Dic5—32no—
333C22⋊Dic5—34no—
334C22⋊Dic5—34no—
335C22⋊Dic5—34no—
336C22⋊Dic5—34no—
337#685—34no—
338#685—34no—
339#685C22×D314yes—
340C4⋊Dic5—32no—
341C4⋊Dic5—32no—
342C4⋊Dic5—34no—
343C4⋊Dic5—34no—
344#683—34no—
345#683—34no—
346#683—34no—
347#683—34no—
348#683—34no—
349#683C22×D314yes—
350C4×Dic5—32no—
351C4×Dic5—34no—
352C4×Dic5C22×D312yes—
353C4×Dic5C22×D311yescharacteristic
354#563—152no—
355#563—151no—
356#562—154no—
357#562—152no—
358H(3,𝔽4)—31no—
359#560—154no—
360#560—152no—
361#532—51no—
362#532—152no—
363#529—152no—
364#529—154no—
365#525—154no—
366#525—152no—
367C22×C3×C5—22no—
368C22×C3×C5—24no—
369C22×C3×C5C2511yescharacteristic
370C2×C5×D3—24no—
371C2×C5×D3—24no—
372C2×C5×D3—24no—
373C2×C5×D3—48no—
374C2×C3×D5—22no—
375C2×C3×D5—21no—
376C2×C3×D5—24no—
377C2×C3×D5—22no—
378C3×C4×C5—21no—
379C3×C4×C5—22no—
380C3×C4×C5—22no—
381Dic15—24no—
382Dic15—24no—
383C3×Dic5—22no—
384C3×Dic5—22no—
385C3×Dic5H(5,𝔽2)12yes—
386C5×Dic3—24no—
387C23×D3C22×D512yes—
388C3×#41—202no—
389C3×#41—202no—
390C2×C3×Q8—51no—
391C2×C3×Q8C22×D511yescharacteristic
392C2×C3×D4—52no—
393C2×C3×D4—54no—
394C2×C3×D4—52no—
395C2×C3×D4—51no—
396C2×C3×D4C22×D511yescharacteristic
397C22×C3×C4—52no—
398C22×C3×C4—52no—
399C22×C3×C4—51no—
400C22×C3×C4—52no—
401C2×#67—54no—
402C2×#67—54no—
403C2×#67—54no—
404C2×#67C22×D514yes—
405C22×Dic3—52no—
406C22×Dic3—54no—
407#235—204no—
408C2×D12C22×D512yes—
409C2×D12C22×D512yes—
410C2×C4×D3—54no—
411C2×C4×D3—54no—
412C2×C4×D3—204no—
413C2×Dic6—52no—
414C2×Dic6C22×D512yes—
415C3×C4⋊C4—54no—
416C3×C22⋊C4—54no—
417C3×C22⋊C4C22×D514yes—
418C3×C42—52no—
419C3×C42—51no—
420C3×C42C22×D511yescharacteristic
421#217—54no—
422#217—52no—
423#217—54no—
424#217—54no—
425#217C22×D512yes—
426(C2×D3)⋊C4—54no—
427(C2×D3)⋊C4—54no—
428(C2×D3)⋊C4—54no—
429(C2×D3)⋊C4C22×D514yes—
430(C2×D3)⋊C4C22×D514yes—
431(C2×D3)⋊C4C22×D514yes—
432C4⋊Dic3—52no—
433C4⋊Dic3—52no—
434C4⋊Dic3—54no—
435Dic3⋊C4—54no—
436Dic3⋊C4—54no—
437Dic3⋊C4—54no—
438Dic3⋊C4—54no—
439Dic3⋊C4—54no—
440Dic3⋊C4—54no—
441C4×Dic3—52no—
442C4×Dic3—54no—
443C4×Dic3C22×D512yes—
444C23×C5—34no—
445C23×C5—122no—
446C23×C5—124no—
447C23×C5C23×D312yes—
448C22×D5C23×D311yescharacteristic
449C22×D5C23×D312yes—
450C5×Q8—41no—
451C5×Q8—122no—
452C5×D4—41no—
453C5×D4—122no—
454C5×D4—122no—
455C5×D4—124no—
456C2×C4×C5—34no—
457C2×C4×C5C23×D312yes—
458C2×C4×C5C23×D311yescharacteristic
459C2×C4×C5C23×D312yes—
460C22⋊D5—42no—
461C22⋊D5—44no—
462C22⋊D5—124no—
463C22⋊D5—124no—
464C22⋊D5—124no—
465C2×Dic5—24no—
466C2×Dic5—34no—
467C2×Dic5—34no—
468C2×Dic5—68no—
469C2×Dic5—124no—
470C2×Dic5—122no—
471C2×Dic5C23×D312yes—
472C2×Dic5C23×D312yes—
473C2×Dic5C23×D311yescharacteristic
474D20—41no—
475D20—42no—
476C4×D5—22no—
477C4×D5—24no—
478C4×D5—42no—
479C4×D5—124no—
480Dic10—41no—
481Dic10—122no—
482C2×#41—51no—
483C2×#41—51no—
484C2×#41—152no—
485C23×C4—152no—
486C4⋊Q8—51no—
487C4⋊Q8—152no—
488#127—51no—
489#127—152no—
490#126—154no—
491#126—154no—
492#126—154no—
493#125—154no—
494#125—152no—
495#124—32no—
496#124—34no—
497#124—32no—
498#124—51no—
499#124—152no—
500#124D3×D511yescharacteristic
501#123—154no—
502#123—154no—
503#123—154no—
504#123—152no—
505#123—154no—
506#123—154no—
507#123—152no—
508C22⋊Q8—154no—
509C22⋊Q8—154no—
510C22⋊Q8—154no—
511C22⋊Q8—152no—
512C22⋊Q8—154no—
513#121—54no—
514#121—154no—
515#121—154no—
516#121—154no—
517#121—152no—
518#121—154no—
519#121—154no—
520#121—154no—
521#120—32no—
522#120—34no—
523#120—154no—
524#120—152no—
525C4×Q8—152no—
526C4×D4—54no—
527C4×D4—152no—
528C4×D4—154no—
529C4×D4—154no—
530C4×D4—154no—
531#117—154no—
532#117—152no—
533C2×C42—51no—
534C2×C42—152no—
535C2×C3×C5—42no—
536C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
537C2×C3×C5#58512yes—
538C3×D5—42no—
539C3×D5—41no—
540C5×D3—44no—
541C23×C3—51no—
542C23×C3—52no—
543C23×C3C23×D512yes—
544C22×D3—42no—
545C22×D3—44no—
546C22×D3C23×D514yes—
547C3×Q8—41no—
548C3×Q8—201no—
549C3×D4—41no—
550C3×D4—202no—
551C3×D4—201no—
552C3×D4—204no—
553C3×D4—202no—
554C2×C3×C4—51no—
555C2×C3×C4—52no—
556C2×C3×C4—52no—
557C2×C3×C4—104no—
558C2×C3×C4—102no—
559C2×C3×C4—104no—
560C2×C3×C4—202no—
561C2×C3×C4C23×D512yes—
562C2×C3×C4C23×D511yescharacteristic
563C2×C3×C4C23×D512yes—
564#67—44no—
565#67—204no—
566#67—204no—
567#67—204no—
568C2×Dic3—54no—
569C2×Dic3—54no—
570C2×Dic3—204no—
571C2×Dic3—202no—
572C2×Dic3C23×D514yes—
573D12—42no—
574D12—42no—
575C4×D3—108no—
576C4×D3—204no—
577Dic6—42no—
578Dic6—202no—
579C22×C5—22no—
580C22×C5—24no—
581C22×C5—64no—
582C22×C5—64no—
583C22×C5—64no—
584C22×C5—128no—
585C22×C5C24×D311yescharacteristic
586C2×D5—21no—
587C2×D5—22no—
588C2×D5—22no—
589C2×D5—24no—
590C4×C5—21no—
591C4×C5—22no—
592C4×C5—22no—
593C4×C5—64no—
594Dic5—22no—
595Dic5—22no—
596Dic5—64no—
597Dic5—64no—
598Dic5#100412yes—
599C24—32no—
600#41—202no—
601#41—202no—
602#41—604no—
603C2×Q8—32no—
604C2×Q8—51no—
605C2×Q8—152no—
606C2×Q8C2×D3×D511yescharacteristic
607C2×D4—34no—
608C2×D4—32no—
609C2×D4—32no—
610C2×D4—54no—
611C2×D4—52no—
612C2×D4—52no—
613C2×D4—51no—
614C2×D4—154no—
615C2×D4—154no—
616C2×D4—154no—
617C2×D4C2×D3×D511yescharacteristic
618C22×C4—52no—
619C22×C4—51no—
620C22×C4—52no—
621C22×C4—52no—
622C22×C4—154no—
623C22×C4—154no—
624C22×C4—154no—
625C22×C4—152no—
626C22×C4—604no—
627C4⋊C4—54no—
628C4⋊C4—154no—
629C4⋊C4—154no—
630C4⋊C4—154no—
631C4⋊C4—154no—
632C4⋊C4—154no—
633C4⋊C4—154no—
634C4⋊C4—154no—
635C4⋊C4—152no—
636C4⋊C4—152no—
637C22⋊C4—32no—
638C22⋊C4—34no—
639C22⋊C4—34no—
640C22⋊C4—34no—
641C22⋊C4—54no—
642C22⋊C4—154no—
643C22⋊C4—154no—
644C22⋊C4—154no—
645C22⋊C4—154no—
646C22⋊C4—154no—
647C22⋊C4—152no—
648C22⋊C4—154no—
649C22⋊C4C2×D3×D514yes—
650C42—32no—
651C42—52no—
652C42—51no—
653C42—154no—
654C42—152no—
655C42C2×D3×D511yescharacteristic
656C3×C5#352911yescharacteristic, complemented, Hall
657C22×C3—22no—
658C22×C3—24no—
659C22×C3—102no—
660C22×C3—101no—
661C22×C3—104no—
662C22×C3—102no—
663C22×C3C24×D511yescharacteristic
664C2×D3—24no—
665C2×D3—24no—
666C2×D3—24no—
667C2×D3—48no—
668C3×C4—22no—
669C3×C4—21no—
670C3×C4—22no—
671C3×C4—52no—
672C3×C4—102no—
673C3×C4—102no—
674Dic3—24no—
675Dic3—104no—
676Dic3—104no—
677C2×C5—42no—
678C2×C5—124no—
679C2×C5C2×#100411yescharacteristic
680C2×C5#596412yes—
681D5—41no—
682D5—42no—
683C23—34no—
684C23—52no—
685C23—51no—
686C23—122no—
687C23—124no—
688C23C22×D3×D512yes—
689Q8—41no—
690Q8—122no—
691Q8—201no—
692Q8—602no—
693D4—41no—
694D4—122no—
695D4—122no—
696D4—124no—
697D4—201no—
698D4—202no—
699D4—202no—
700D4—204no—
701D4—604no—
702D4—604no—
703D4—604no—
704C2×C4—34no—
705C2×C4—51no—
706C2×C4—52no—
707C2×C4—52no—
708C2×C4—102no—
709C2×C4—104no—
710C2×C4—104no—
711C2×C4—154no—
712C2×C4—154no—
713C2×C4—202no—
714C2×C4—308no—
715C2×C4—604no—
716C2×C4—604no—
717C2×C4—602no—
718C2×C4C22×D3×D512yes—
719C2×C4C22×D3×D511yescharacteristic
720C2×C4C22×D3×D512yes—
721C2×C3—42no—
722C2×C3—202no—
723C2×C3—201no—
724C2×C3D5×H(5,𝔽2)11yescharacteristic
725C2×C3#6628512yes—
726D3—44no—
727C5#8624811yescharacteristic, complemented, Sylow
728C22—24no—
729C22—22no—
730C22—64no—
731C22—64no—
732C22—64no—
733C22—102no—
734C22—104no—
735C22—101no—
736C22—102no—
737C22—128no—
738C22C23×D3×D511yescharacteristic
739C4—22no—
740C4—21no—
741C4—22no—
742C4—52no—
743C4—64no—
744C4—102no—
745C4—102no—
746C4—304no—
747C4—304no—
748C3#1061898611yescharacteristic, complemented, Sylow
749C2—42no—
750C2—124no—
751C2—201no—
752C2—202no—
753C2D5×#100411yescharacteristic
754C2#1175705912yes—
subgroupG/H
center, FrattiniC22C23×D3×D5
commutator, socle, cosocleC22×C3×C5C25
FittingC3×C5×#124C22
hypercenter#124D3×D5
hypocenterC3×C5#3529
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ #124

Complements

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

NH ≅ G/Ntype
1. #11756431C2semidirect
2. C5×#5683C2semidirect
3. C3×#66002C2semidirect
4. #11755216C2semidirect
5. #11755158C2semidirect
6. #11754991C2semidirect
7. #11754795C2semidirect
8. #11753169C2semidirect
9. #11753046C2semidirect
10. #11752885C2semidirect
11. #11752840C2semidirect
12. #11752708C2semidirect
13. #11752683C2semidirect
15. C2×C3×#713C22semidirect
17. C22×D3×Dic5C22semidirect
20. #91833C22semidirect
22. #91768C22semidirect
23. #91767C22semidirect
24. #91759C22semidirect
30. C3×#4090C22semidirect
32. C3×#4030C22semidirect
33. C3×#4027C22semidirect
34. C3×#4021C22semidirect
35. C3×C42×D5C22semidirect
37. #91568C22semidirect
38. #91568C22semidirect
42. #91548C22semidirect
43. #91537C22semidirect
44. #91528C22semidirect
46. #91457C22semidirect
49. #91447C22semidirect
50. #91440C22semidirect
51. #91440C22semidirect
52. #91432C22semidirect
54. #91421C22semidirect
56. #91414C22semidirect
57. #91410C22semidirect
58. #91408C22semidirect
59. #91408C22semidirect
60. #91398C22semidirect
61. C4×D5×Dic3C22semidirect
62. #91379C22semidirect
63. #91372C22semidirect
64. #91367C22semidirect
65. #91364C22semidirect
66. #91359C22semidirect
67. Dic5×Dic6C22semidirect
77. #66002D3semidirect
145. #5683D5semidirect
153. C2×#713C2×D3semidirect
168. #4090C2×D3semidirect
184. #4030C2×D3semidirect
190. #4027C2×D3semidirect
200. #4021C2×D3semidirect
202. C42×D5C2×D3semidirect
656. C3×C5#3529semidirect
727. C5#86248semidirect
748. C3#10618986semidirect

Maximal subgroups

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

subgroupindex
#117564312
C5×#56832
C3×#660022
#117552162
#117551582
#117549912
#117547952
#117531692
#117530462
#117528852
#117528402
#117527082
#117526832
#106189863
#862485