Finite Group Databasebeta

← #14481221

Subgroups — #14481221

Order 1920.

2008 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D15×#117C211yesmaximal, characteristic
2C5×#5518C211yesmaximal, characteristic, complemented
3C3×#65852C211yesmaximal, characteristic, complemented
4#11754383C212yesmaximal
5#11754205C212yesmaximal, complemented
6#11753831C214yesmaximal, complemented
7#11753468C214yesmaximal, complemented
8#11753193C214yesmaximal, complemented
9#11753017C214yesmaximal
10#11752631C211yesmaximal, characteristic, complemented
11#11752562C211yesmaximal, characteristic, complemented
12C4×D15⋊Q8C212yesmaximal, complemented
13#11752514C212yesmaximal, complemented
14#11752489C211yesmaximal, characteristic, complemented
15#11752485C211yesmaximal, characteristic, complemented
16D5×#541—31nomaximal, Hall
17C22×C4×D15C2211yescharacteristic
18C2×D15⋊Q8C2212yes—
19C3×C5×#117C2211yescharacteristic
20#91815C2211yescharacteristic
21#91781C2212yes—
22C4⋊C4×D15C2212yes—
23C22⋊C4×D15C2212yes—
24#91766C2212yes—
25#91761C2211yescharacteristic
26#91761C2211yescharacteristic
27C42×D15C2211yescharacteristic
28C42×D15C2211yescharacteristic
29C5×#924C2212yes—
30C5×#889C2214yescomplemented
31C5×#879C2214yes—
32C5×#870C2211yescharacteristic, complemented
33C5×#869C2211yescharacteristic, complemented
34C4×C5×Dic6C2212yescomplemented
35C3×#4070C2212yes—
36C3×#4035C2214yescomplemented
37C3×#4025C2214yes—
38C3×#4016C2211yescharacteristic, complemented
39C3×#4015C2211yescharacteristic, complemented
40C3×C4×Dic10C2212yescomplemented
41#91576C2214yes—
42#91561C2214yes—
43#91531C2214yes—
44#91530C2214yes—
45#91470C2214yescomplemented
46C4×#1204C2214yescomplemented
47#91437C2214yes—
48#91437C2212yes—
49#91404C2214yes—
50#91404C2214yes—
51#91404C2214yes—
52C4×#1200C2214yes—
53#91390C2212yes—
54#91387C2214yes—
55#91385C2212yescomplemented
56#91384C2212yescomplemented
57#91383C2212yes—
58#91382C2214yescomplemented
59#91380C2214yes—
60#91379C2214yescomplemented
61#91378C2214yescomplemented
62#91377C2214yes—
63#91346C2214yescomplemented
64#91345C2214yes—
65#91344C2212yescomplemented
66#91343C2214yescomplemented
67#91337C2214yes—
68#91335C2214yescomplemented
69#91334C2214yescomplemented
70#91331C2212yescomplemented
71#91325C2214yescomplemented
72D3×#541—51nomaximal, Hall
73C5×#541—31no—
74#66065—31no—
75D5×C4⋊Q8—31no—
76D5×#126—34no—
77#66035—34no—
78#66031—31no—
79#66030—34no—
80D5×#125—34no—
81D5×#125—31no—
82D5×C22⋊Q8—32no—
83#65959—32no—
84#65917—32no—
85C4×Q8×D5—32no—
86D5×#117—31no—
87#65852D311yescharacteristic, complemented
88C23×D15C2311yescharacteristic
89C22×C3×C4×C5C2311yescharacteristic
90C22×Dic15C2311yescharacteristic
91C2×C4×D15—24no—
92C2×C4×D15C2312yes—
93C2×C4×D15C2311yescharacteristic
94C2×C4×D15C2312yes—
95C2×C4×D15C2311yescharacteristic
96C2×C4×D15C2311yescharacteristic
97C2×C4×D15C2311yescharacteristic
98C2×C5×Dic6C2312yes—
99C2×C3×Dic10C2312yes—
100C2×#1204C2314yes—
101C2×#1200C2314yes—
102C2×#1200C2314yes—
103D15⋊Q8—28no—
104C3×C5×C4⋊C4C2312yes—
105C3×C5×C22⋊C4C2312yes—
106C3×C42×C5C2311yescharacteristic
107C3×C42×C5C2311yescharacteristic
108#6719C2312yes—
109#6714C2312yes—
110#6714C2312yes—
111C4⋊Dic15C2312yes—
112#6712C2312yes—
113#6712C2312yes—
114C4×Dic15C2312yes—
115C4×Dic15C2312yes—
116C4×Dic15C2311yescharacteristic
117C4×Dic15C2311yescharacteristic
118C5×#217C2314yes—
119C5×C4⋊Dic3C2312yes—
120C5×C4⋊Dic3C2314yes—
121C5×Dic3⋊C4C2314yes—
122C5×Dic3⋊C4C2314yes—
123C5×Dic3⋊C4C2314yes—
124C4×C5×Dic3C2314yes—
125C3×C22⋊Dic5C2314yes—
126C3×C4⋊Dic5C2314yes—
127C3×C4⋊Dic5C2312yes—
128C3×#683C2314yes—
129C3×#683C2314yes—
130C3×#683C2314yes—
131C3×C4×Dic5C2314yes—
132Dic3⋊Dic5C2314yes—
133Dic3⋊Dic5C2314yes—
134Dic3⋊Dic5C2314yes—
135#6669C2314yes—
136#6669C2314yes—
137#6669C2314yes—
138#6668C2314yes—
139#6668C2314yes—
140#6668C2314yes—
141#6667C2314yes—
142#6667C2314yes—
143Dic3×Dic5C2314yes—
144Dic3×Dic5C2314yes—
145C3×#541—51no—
146#5731—51no—
147D3×C4⋊Q8—51no—
148D3×#126—54no—
149#5701—54no—
150#5698—51no—
151#5696—54no—
152D3×#125—54no—
153D3×#125—51no—
154D3×C22⋊Q8—52no—
155#5625—52no—
156#5583—52no—
157C4×D3×Q8—52no—
158D3×#117—51no—
159#5518D511yescharacteristic, complemented
160C2×Q8×D5—32no—
161C22×C4×D5—31no—
162C5×C4⋊Q8—31no—
163C5×#126—34no—
164C5×#125—34no—
165C5×#125—31no—
166C5×C22⋊Q8—32no—
167C4×C5×Q8—32no—
168C5×#117C2×D311yescharacteristic
169#4092—32no—
170Q8×Dic5—32no—
171#4090—32no—
172#4072—31no—
173#4070C2×D312yes—
174#4044—34no—
175#4044—34no—
176#4044—34no—
177#4043—32no—
178#4042—34no—
179#4038—32no—
180D5×C4⋊C4—32no—
181D5×C4⋊C4—34no—
182D5×C4⋊C4—32no—
183D5×C4⋊C4—34no—
184D5×C4⋊C4—34no—
185D5×C4⋊C4—34no—
186#4036—32no—
187#4036—34no—
188#4036—34no—
189#4035—34no—
190#4035—34no—
191#4035—34no—
192#4035—34no—
193#4035C2×D314yescomplemented
194#4034—34no—
195#4033—32no—
196#4033—34no—
197D5×C22⋊C4—32no—
198D5×C22⋊C4—34no—
199#4025—34no—
200#4025—34no—
201#4025C2×D314yes—
202#4024—34no—
203#4023—32no—
204#4022—34no—
205#4018—31no—
206#4018—31no—
207C42×D5—31no—
208C42×D5—31no—
209C42×D5—34no—
210#4016—34no—
211#4016C2×D311yescharacteristic, complemented
212#4015C2×D311yescharacteristic, complemented
213C4×Dic10—34no—
214C4×Dic10C2×D312yescomplemented
215C2×#541—151noSylow
216C23×C3×C5C2411yescharacteristic
217C22×D15—22no—
218C22×D15—24no—
219C22×D15C2411yescharacteristic
220C22×D15C2411yescharacteristic
221C2×C3×C4×C5—22no—
222C2×C3×C4×C5C2412yes—
223C2×C3×C4×C5C2411yescharacteristic
224C2×C3×C4×C5C2412yes—
225C2×C3×C4×C5C2411yescharacteristic
226C2×Dic15—22no—
227C2×Dic15C2412yes—
228C2×Dic15C2411yescharacteristic
229C2×Dic15C2412yes—
230C2×Dic15C2411yescharacteristic
231C4×D15—22no—
232C4×D15—24no—
233C4×D15—24no—
234C4×D15—22no—
235C4×D15—22no—
236C4×D15#4114yes—
237C2×C5×Dic3C2414yes—
238C2×C5×Dic3C2414yes—
239C5×Dic6—24no—
240C2×C3×Dic5C2414yes—
241C2×C3×Dic5C2414yes—
242C3×Dic10—24no—
243#1204—28no—
244#1200—28no—
245#1200—28no—
246C2×D3×Q8—52no—
247C22×C4×D3—51no—
248C3×C4⋊Q8—51no—
249C3×#126—54no—
250C3×#125—54no—
251C3×#125—51no—
252C3×C22⋊Q8—52no—
253C3×C4×Q8—52no—
254C3×#117C2×D511yescharacteristic
255#946—52no—
256Q8×Dic3—52no—
257#944—52no—
258#926—51no—
259#924C2×D512yes—
260#898—54no—
261#898—54no—
262#898—54no—
263#897—52no—
264#896—54no—
265#892—52no—
266D3×C4⋊C4—52no—
267D3×C4⋊C4—54no—
268D3×C4⋊C4—52no—
269D3×C4⋊C4—54no—
270D3×C4⋊C4—54no—
271D3×C4⋊C4—54no—
272#890—54no—
273#890—52no—
274#890—54no—
275#889—54no—
276#889—54no—
277#889—54no—
278#889—54no—
279#889C2×D514yescomplemented
280#888—54no—
281#887—52no—
282#887—54no—
283D3×C22⋊C4—52no—
284D3×C22⋊C4—54no—
285#879—54no—
286#879—54no—
287#879C2×D514yes—
288#878—54no—
289#877—52no—
290#876—54no—
291#872—51no—
292#872—51no—
293C42×D3—51no—
294C42×D3—51no—
295C42×D3—54no—
296#870—54no—
297#870C2×D511yescharacteristic, complemented
298#869C2×D511yescharacteristic, complemented
299C4×Dic6—54no—
300C4×Dic6C2×D512yescomplemented
301C23×D5—31no—
302C2×C5×Q8—32no—
303C22×C4×C5C22×D311yescharacteristic
304C22×Dic5—31no—
305Q8×D5—68no—
306C2×C4×D5—31no—
307C2×C4×D5—31no—
308C2×C4×D5—31no—
309C2×C4×D5—31no—
310C2×C4×D5—32no—
311C2×C4×D5—32no—
312C2×C4×D5—34no—
313C2×C4×D5—34no—
314C2×C4×D5—64no—
315C2×Dic10—34no—
316C2×Dic10C22×D312yes—
317C5×C4⋊C4—32no—
318C5×C4⋊C4—34no—
319C5×C4⋊C4—34no—
320C5×C4⋊C4—34no—
321C5×C4⋊C4—34no—
322C5×C4⋊C4C22×D312yes—
323C5×C22⋊C4—34no—
324C5×C22⋊C4C22×D312yes—
325C42×C5—34no—
326C42×C5C22×D311yescharacteristic
327C42×C5C22×D311yescharacteristic
328C22⋊Dic5—32no—
329C22⋊Dic5C22×D314yes—
330#685—32no—
331#685—32no—
332#685—34no—
333#685—34no—
334C4⋊Dic5—32no—
335C4⋊Dic5—34no—
336C4⋊Dic5—34no—
337C4⋊Dic5—34no—
338C4⋊Dic5C22×D312yes—
339C4⋊Dic5C22×D314yes—
340#683—32no—
341#683—32no—
342#683—34no—
343#683—34no—
344#683—34no—
345#683—34no—
346#683—34no—
347#683—34no—
348#683C22×D314yes—
349#683C22×D314yes—
350#683C22×D314yes—
351C4×Dic5—32no—
352C4×Dic5—31no—
353C4×Dic5—31no—
354C4×Dic5—32no—
355C4×Dic5—34no—
356C4×Dic5—34no—
357C4×Dic5C22×D314yes—
358#541—31no—
359#541—51no—
360#541—152no—
361#541—152no—
362#541—154no—
363#541—151no—
364#541—151no—
365#541—154no—
366C2×C4⋊Q8—151no—
367C2×#126—154no—
368C2×#125—154no—
369C2×#125—151no—
370C2×C22⋊Q8—152no—
371C2×C4×Q8—152no—
372C2×#117—151no—
373C22×C3×C5—21no—
374C22×C3×C5—22no—
375C22×C3×C5C2511yescharacteristic
376C2×D15—21no—
377C2×D15—22no—
378C2×D15—44no—
379C2×D15C2×#4112yes—
380C2×D152−1+414yes—
381C3×C4×C5—21no—
382C3×C4×C5—22no—
383C3×C4×C5—22no—
384C3×C4×C5C2×#4112yes—
385Dic15—21no—
386Dic15—22no—
387Dic15—22no—
388Dic15C2×#4112yes—
389C3×Dic5—24no—
390C3×Dic5—24no—
391C5×Dic3—24no—
392C5×Dic3—24no—
393C23×D3—51no—
394C2×C3×Q8—52no—
395C22×C3×C4C22×D511yescharacteristic
396C22×Dic3—51no—
397D3×Q8—108no—
398C2×C4×D3—51no—
399C2×C4×D3—52no—
400C2×C4×D3—52no—
401C2×C4×D3—51no—
402C2×C4×D3—51no—
403C2×C4×D3—51no—
404C2×C4×D3—54no—
405C2×C4×D3—54no—
406C2×C4×D3—104no—
407C2×Dic6—54no—
408C2×Dic6C22×D512yes—
409C3×C4⋊C4—54no—
410C3×C4⋊C4—54no—
411C3×C4⋊C4—54no—
412C3×C4⋊C4—52no—
413C3×C4⋊C4—54no—
414C3×C4⋊C4C22×D512yes—
415C3×C22⋊C4—54no—
416C3×C22⋊C4C22×D512yes—
417C3×C42—54no—
418C3×C42C22×D511yescharacteristic
419C3×C42C22×D511yescharacteristic
420#217—52no—
421#217C22×D514yes—
422(C2×D3)⋊C4—52no—
423(C2×D3)⋊C4—52no—
424(C2×D3)⋊C4—54no—
425(C2×D3)⋊C4—54no—
426C4⋊Dic3—52no—
427C4⋊Dic3—54no—
428C4⋊Dic3—54no—
429C4⋊Dic3—54no—
430C4⋊Dic3C22×D512yes—
431C4⋊Dic3C22×D514yes—
432Dic3⋊C4—52no—
433Dic3⋊C4—52no—
434Dic3⋊C4—54no—
435Dic3⋊C4—54no—
436Dic3⋊C4—54no—
437Dic3⋊C4—54no—
438Dic3⋊C4—54no—
439Dic3⋊C4—54no—
440Dic3⋊C4C22×D514yes—
441Dic3⋊C4C22×D514yes—
442Dic3⋊C4C22×D514yes—
443C4×Dic3—52no—
444C4×Dic3—51no—
445C4×Dic3—51no—
446C4×Dic3—52no—
447C4×Dic3—54no—
448C4×Dic3—54no—
449C4×Dic3C22×D514yes—
450C23×C5C23×D311yescharacteristic
451C22×D5—31no—
452C22×D5—31no—
453C22×D5—62no—
454C22×D5—64no—
455C5×Q8—64no—
456C2×C4×C5—22no—
457C2×C4×C5—34no—
458C2×C4×C5—34no—
459C2×C4×C5C23×D312yes—
460C2×C4×C5C23×D312yes—
461C2×C4×C5C23×D311yescharacteristic
462C2×C4×C5C23×D311yescharacteristic
463C2×Dic5—31no—
464C2×Dic5—32no—
465C2×Dic5—32no—
466C2×Dic5—31no—
467C2×Dic5—62no—
468C2×Dic5C23×D314yes—
469C2×Dic5C23×D314yes—
470C4×D5—34no—
471C4×D5—68no—
472C4×D5—68no—
473C4×D5—62no—
474C4×D5—64no—
475C4×D5—64no—
476C4×D5—62no—
477C4×D5—62no—
478Dic10—24no—
479Dic10—68no—
480C22×Q8—152no—
481C23×C4—151no—
482C4⋊Q8—31no—
483C4⋊Q8—51no—
484C4⋊Q8—154no—
485C4⋊Q8—152no—
486#126—34no—
487#126—54no—
488#126—154no—
489#126—154no—
490#126—154no—
491#126—154no—
492#126—154no—
493#126—154no—
494#125—34no—
495#125—31no—
496#125—54no—
497#125—51no—
498#125—154no—
499#125—154no—
500#125—154no—
501#125—154no—
502#125—154no—
503#125—154no—
504#125—154no—
505#125—152no—
506C22⋊Q8—32no—
507C22⋊Q8—52no—
508C22⋊Q8—154no—
509C22⋊Q8—154no—
510C22⋊Q8—152no—
511C22⋊Q8—152no—
512C4×Q8—32no—
513C4×Q8—52no—
514C4×Q8—154no—
515C4×Q8—154no—
516C4×Q8—152no—
517C4×Q8—152no—
518#117—151no—
519#117—152no—
520#117—152no—
521#117—151no—
522#117—151no—
523#117D3×D511yescharacteristic
524C2×C4⋊C4—152no—
525C2×C4⋊C4—154no—
526C2×C4⋊C4—154no—
527C2×C4⋊C4—154no—
528C2×C4⋊C4—154no—
529C2×C4⋊C4—152no—
530C2×C22⋊C4—154no—
531C2×C22⋊C4—152no—
532C2×C42—154no—
533C2×C42—151no—
534C2×C42—151no—
535C2×C3×C5—41no—
536C2×C3×C5C22×#4111yescharacteristic
537C2×C3×C5C2×2−1+412yes—
538D15—41no—
539D15#54114yescomplemented
540C23×C3C23×D511yescharacteristic
541C22×D3—51no—
542C22×D3—51no—
543C22×D3—102no—
544C22×D3—104no—
545C3×Q8—104no—
546C2×C3×C4—22no—
547C2×C3×C4—54no—
548C2×C3×C4—54no—
549C2×C3×C4C23×D512yes—
550C2×C3×C4C23×D512yes—
551C2×C3×C4C23×D511yescharacteristic
552C2×C3×C4C23×D511yescharacteristic
553C2×Dic3—51no—
554C2×Dic3—52no—
555C2×Dic3—52no—
556C2×Dic3—51no—
557C2×Dic3—102no—
558C2×Dic3C23×D514yes—
559C2×Dic3C23×D514yes—
560C4×D3—54no—
561C4×D3—108no—
562C4×D3—108no—
563C4×D3—102no—
564C4×D3—104no—
565C4×D3—104no—
566C4×D3—102no—
567C4×D3—102no—
568Dic6—24no—
569Dic6—108no—
570C22×C5—21no—
571C22×C5—22no—
572C22×C5C24×D311yescharacteristic
573C2×D5—32no—
574C2×D5—34no—
575C2×D5—61no—
576C2×D5—62no—
577C2×D5—124no—
578C4×C5—21no—
579C4×C5—22no—
580C4×C5—22no—
581C4×C5—64no—
582C4×C5—64no—
583C4×C5D3×#4112yes—
584Dic5—24no—
585Dic5—24no—
586Dic5—32no—
587Dic5—61no—
588Dic5—62no—
589Dic5—62no—
590C24—151no—
591C2×Q8—32no—
592C2×Q8—52no—
593C2×Q8—154no—
594C2×Q8—308no—
595C22×C4—154no—
596C22×C4—154no—
597C22×C4—151no—
598C22×C4—151no—
599C22×C4—152no—
600C22×C4—152no—
601C22×C4—151no—
602C22×C4—151no—
603C22×C4—151no—
604C22×C4—304no—
605C22×C4C2×D3×D511yescharacteristic
606C4⋊C4—32no—
607C4⋊C4—34no—
608C4⋊C4—34no—
609C4⋊C4—34no—
610C4⋊C4—34no—
611C4⋊C4—52no—
612C4⋊C4—54no—
613C4⋊C4—54no—
614C4⋊C4—54no—
615C4⋊C4—54no—
616C4⋊C4—154no—
617C4⋊C4—154no—
618C4⋊C4—154no—
619C4⋊C4—154no—
620C4⋊C4—154no—
621C4⋊C4—154no—
622C4⋊C4—154no—
623C4⋊C4—154no—
624C4⋊C4—154no—
625C4⋊C4—152no—
626C4⋊C4—152no—
627C4⋊C4—152no—
628C4⋊C4C2×D3×D512yes—
629C22⋊C4—34no—
630C22⋊C4—54no—
631C22⋊C4—154no—
632C22⋊C4—154no—
633C22⋊C4—152no—
634C22⋊C4—152no—
635C22⋊C4—152no—
636C22⋊C4C2×D3×D512yes—
637C42—34no—
638C42—54no—
639C42—154no—
640C42—154no—
641C42—152no—
642C42—151no—
643C42—152no—
644C42—151no—
645C42C2×D3×D511yescharacteristic
646C42C2×D3×D511yescharacteristic
647C3×C5C2×#54111yescharacteristic, complemented, Hall
648C22×C3—21no—
649C22×C3—22no—
650C22×C3C24×D511yescharacteristic
651C2×D3—52no—
652C2×D3—54no—
653C2×D3—101no—
654C2×D3—102no—
655C2×D3—204no—
656C3×C4—21no—
657C3×C4—22no—
658C3×C4—22no—
659C3×C4—104no—
660C3×C4—104no—
661C3×C4D5×#4112yes—
662Dic3—24no—
663Dic3—24no—
664Dic3—52no—
665Dic3—101no—
666Dic3—102no—
667Dic3—102no—
668C2×C5—41no—
669C2×C5C2×D3×#4111yescharacteristic
670C2×C5D3×2−1+412yes—
671D5—34no—
672D5—121no—
673C23—151no—
674C23—151no—
675C23—302no—
676C23—304no—
677C23C22×D3×D511yescharacteristic
678Q8—64no—
679Q8—104no—
680Q8—308no—
681C2×C4—22no—
682C2×C4—34no—
683C2×C4—34no—
684C2×C4—54no—
685C2×C4—54no—
686C2×C4—151no—
687C2×C4—154no—
688C2×C4—152no—
689C2×C4—152no—
690C2×C4—151no—
691C2×C4—302no—
692C2×C4—302no—
693C2×C4—304no—
694C2×C4—304no—
695C2×C4—308no—
696C2×C4—308no—
697C2×C4—302no—
698C2×C4—302no—
699C2×C4C22×D3×D512yes—
700C2×C4C22×D3×D512yes—
701C2×C4C22×D3×D511yescharacteristic
702C2×C4C22×D3×D511yescharacteristic
703C2×C3—41no—
704C2×C3C2×D5×#4111yescharacteristic
705C2×C3D5×2−1+412yes—
706D3—54no—
707D3—201no—
708C5D3×#54111yescharacteristic, complemented, Sylow
709C22—22no—
710C22—21no—
711C22—154no—
712C22—152no—
713C22—302no—
714C22—301no—
715C22—604no—
716C22C23×D3×D511yescharacteristic
717C4—22no—
718C4—22no—
719C4—21no—
720C4—64no—
721C4—64no—
722C4—104no—
723C4—104no—
724C4—152no—
725C4—302no—
726C4—302no—
727C4—301no—
728C4#9201612yes—
729C3D5×#54111yescharacteristic, complemented, Sylow
730C2—41no—
731C2—154no—
732C2—601no—
733C2C2×#9201611yescharacteristic
734C2#1175705712yes—
subgroupG/H
center, FrattiniC22C23×D3×D5
commutator, socle, cosocleC22×C3×C5C25
FittingC3×C5×#117C22
prime radicalC23×D15C23
hypercenter#117D3×D5
hypocenterC3×C5C2×#541
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ #117

Complements

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

NH ≅ G/Ntype
2. C5×#5518C2semidirect
3. C3×#65852C2semidirect
5. #11754205C2semidirect
6. #11753831C2semidirect
7. #11753468C2semidirect
8. #11753193C2semidirect
10. #11752631C2semidirect
11. #11752562C2semidirect
12. C4×D15⋊Q8C2semidirect
13. #11752514C2semidirect
14. #11752489C2semidirect
15. #11752485C2semidirect
30. C5×#889C22semidirect
32. C5×#870C22semidirect
33. C5×#869C22semidirect
34. C4×C5×Dic6C22semidirect
36. C3×#4035C22semidirect
38. C3×#4016C22semidirect
39. C3×#4015C22semidirect
40. C3×C4×Dic10C22semidirect
45. #91470C22semidirect
46. C4×#1204C22semidirect
55. #91385C22semidirect
56. #91384C22semidirect
58. #91382C22semidirect
60. #91379C22semidirect
61. #91378C22semidirect
63. #91346C22semidirect
65. #91344C22semidirect
66. #91343C22semidirect
68. #91335C22semidirect
69. #91334C22semidirect
70. #91331C22semidirect
71. #91325C22semidirect
87. #65852D3semidirect
159. #5518D5semidirect
193. #4035C2×D3semidirect
211. #4016C2×D3semidirect
212. #4015C2×D3semidirect
214. C4×Dic10C2×D3semidirect
279. #889C2×D5semidirect
297. #870C2×D5semidirect
298. #869C2×D5semidirect
300. C4×Dic6C2×D5semidirect
539. D15#541semidirect
647. C3×C5C2×#541semidirect
708. C5D3×#541semidirect
729. C3D5×#541semidirect

Maximal subgroups

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

subgroupindex
D15×#1172
C5×#55182
C3×#658522
#117543832
#117542052
#117538312
#117534682
#117531932
#117530172
#117526312
#117525622
C4×D15⋊Q82
#117525142
#117524892
#117524852
D5×#5413
D3×#5415