Finite Group Databasebeta

← #14479152

Subgroups — #14479152

Order 1920.

3080 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6765C211yesmaximal, characteristic
2#11756275C211yesmaximal, characteristic, complemented
3C5×D3×#117C211yesmaximal, characteristic, complemented
4C3×#65855C211yesmaximal, characteristic, complemented
5#11754488C211yesmaximal, characteristic, complemented
6D3×#4072C211yesmaximal, characteristic, complemented
7#11754213C211yesmaximal, characteristic, complemented
8#11753399C214yesmaximal, complemented
9#11753398C214yesmaximal, complemented
10#11753065C214yesmaximal, complemented
11D5×#877C214yesmaximal, complemented
12#11752518C214yesmaximal, complemented
13C4×#6765C214yesmaximal, complemented
14#10617632—31nomaximal, Hall
15C22×Dic30C2211yescharacteristic
16C22×C4×C5×D3C2211yescharacteristic
17C22×C3×D20C2211yescharacteristic
18C22×#1201C2212yes—
19C22×D5×Dic3C2212yes—
20C2×#6765C4116yescomplemented
21C2×#6765C2212yes—
22C2×#6765C2212yes—
23C2×#6765C2212yes—
24C2×#6765C2212yes—
25C3×C5×#117C2211yescharacteristic
26#91815C2211yescharacteristic
27#91776C2214yescomplemented
28#91766C2214yes—
29C4×Dic30C2214yescomplemented
30C5×#926C2211yescharacteristic
31C5×#892C2212yescomplemented
32C5×D3×C4⋊C4C2212yescomplemented
33C5×D3×C22⋊C4C2212yes—
34C5×#877C2212yes—
35C5×#872C2212yescomplemented
36C42×C5×D3C2212yescomplemented
37C3×#4072C2211yescharacteristic
38C3×#4039C2214yescomplemented
39C3×D5×C22⋊C4C2214yes—
40C3×C4×D20C2214yescomplemented
41D3×C22⋊Dic5C2212yes—
42D5×#217C2214yes—
43#91532C2214yes—
44#91529C2212yes—
45#91442C2218yescomplemented
46#91441C2218yescomplemented
47#91440C2218yescomplemented
48C4×#1201C2218yescomplemented
49#91434C2214yescomplemented
50D3×C4⋊Dic5C2212yescomplemented
51Dic3×D20C2214yescomplemented
52C4×D3×Dic5C2212yescomplemented
53#91394C2218yescomplemented
54#91393C2218yescomplemented
55D5×Dic3⋊C4C2218yescomplemented
56C4×D5×Dic3C2218yescomplemented
57#91371C2212yescomplemented
58#91340C2214yescomplemented
59#91338C2212yescomplemented
60#91333C2214yescomplemented
61#85856—51nomaximal, Hall
62C22×#709—31no—
63C2×C5×#117—31no—
64C2×#4072—31no—
65#65857—34no—
66#65856—34no—
67#65855—31no—
68#65855D311yescharacteristic, complemented
69D5×#117—34no—
70#65850—31no—
71#65850—31no—
72#65838—34no—
73#65820—34no—
74C4×#709—34no—
75C23×C5×D3C2311yescharacteristic
76C23×C3×D5C2312yes—
77C22×C3×C4×C5C2311yescharacteristic
78C22×Dic15C2312yes—
79C2×Dic30C2×C418yescomplemented
80C2×Dic30C2312yes—
81C2×Dic30C2312yes—
82C22×C5×Dic3C2311yescharacteristic
83C2×C4×C5×D3C2×C418yescomplemented
84C2×C4×C5×D3C2314yes—
85C2×C4×C5×D3C2311yescharacteristic
86C2×C4×C5×D3C2311yescharacteristic
87C2×C4×C5×D3C2311yescharacteristic
88C2×C4×C5×D3C2311yescharacteristic
89C2×C3×D20C2×C418yescomplemented
90C2×C3×D20C2312yes—
91C2×C3×D20C2312yes—
92C2×C3×C4×D5C2318yes—
93C2×#1201C2×C4116yescomplemented
94C2×#1201C2314yes—
95C2×#1201C2314yes—
96C2×D3×Dic5C2314yes—
97C2×D5×Dic3C2×C4116yescomplemented
98C2×D5×Dic3C2318yes—
99C2×D5×Dic3C2314yes—
100C2×D5×Dic3C2314yes—
101#6765C2×C4116yescomplemented
102#6765C2×C4116yescomplemented
103#6765C2×C4116yescomplemented
104#6765C2×C4116yescomplemented
105C3×C5×C4⋊C4C2312yes—
106C3×C5×C22⋊C4C2312yes—
107C3×C42×C5C2312yes—
108#6719C2312yes—
109C4⋊Dic15C2312yes—
110#6712C2318yes—
111C4×Dic15C2318yes—
112C4×Dic15C2312yes—
113C5×#217C2312yes—
114C5×(C2×D3)⋊C4C2314yes—
115C5×C4⋊Dic3C2312yes—
116C5×Dic3⋊C4C2314yes—
117C4×C5×Dic3C2314yes—
118C4×C5×Dic3C2312yes—
119C3×C22⋊Dic5C2312yes—
120C3×#685C2318yes—
121C3×C4⋊Dic5C2312yes—
122C3×C4×Dic5C2312yes—
123Dic3⋊Dic5C2314yes—
124#6669C2318yes—
125(C2×D3)⋊Dic5C2314yes—
126#6665C2318yes—
127Dic3×Dic5C2314yes—
128Dic3×Dic5C2318yes—
129C22×#237—51no—
130C3×#518—51no—
131#5798—51no—
132#5546—54no—
133#5546—54no—
134C4×#237—54no—
135C4×#237—54no—
136D3×#117—51no—
137D3×#117D511yescharacteristic, complemented
138#5516—51no—
139#5516—51no—
140#5486—54no—
141C2×#877—54no—
142C23×C4×C5—31no—
143C22×C22⋊D5—32no—
144C2×#709—316no—
145C2×#709—32no—
146C2×#709—32no—
147C2×#709—32no—
148C2×#709—32no—
149C22×D20C2×D311yescharacteristic
150C22×C4×D5—32no—
151C22×Dic10—31no—
152C5×#117—31no—
153C5×#117—32no—
154C5×#117—32no—
155C5×#117—32no—
156C5×#117C2×D311yescharacteristic
157C2×C5×C4⋊C4—32no—
158C2×C5×C22⋊C4—32no—
159C2×C42×C5—32no—
160C2×C22⋊Dic5—32no—
161C4×C22⋊D5—38no—
162C4×C22⋊D5—38no—
163#4072—31no—
164#4072—32no—
165#4072—32no—
166#4072—32no—
167#4072C2×D311yescharacteristic
168C2×C4⋊Dic5—32no—
169C2×C4×Dic5—32no—
170#4039—34no—
171#4039C2×D314yescomplemented
172#4038—38no—
173D5×C4⋊C4—38no—
174#4033—34no—
175#4033—34no—
176#4027—38no—
177#4027—38no—
178D5×C22⋊C4—34no—
179D5×C22⋊C4C2×D314yes—
180#4023—34no—
181#4023—34no—
182C4×D20—34no—
183C4×D20C2×D314yescomplemented
184#4018—38no—
185C42×D5—38no—
186C4×Dic10—34no—
187C4×Dic10—34no—
188#3428—151noSylow
189C23×C3×C5C2411yescharacteristic
190C22×C5×D3—42no—
191C22×C5×D3C22×C414yes—
192C22×C5×D3C2411yescharacteristic
193C22×C5×D3C2411yescharacteristic
194C22×C3×D5—44no—
195C22×C3×D5C22×C418yes—
196C22×C3×D5C2414yes—
197C2×C3×C4×C5C22×C414yes—
198C2×C3×C4×C5C2414yes—
199C2×C3×C4×C5C2411yescharacteristic
200C2×C3×C4×C5C2411yescharacteristic
201C2×Dic15C22×C418yes—
202C2×Dic15C2414yes—
203C2×Dic15C2414yes—
204Dic30C22×C418yes—
205Dic30C22×C418yes—
206C2×C5×Dic3C22×C414yes—
207C2×C5×Dic3C2414yes—
208C2×C5×Dic3C2411yescharacteristic
209C2×C5×Dic3C2411yescharacteristic
210C4×C5×D3—44no—
211C4×C5×D3C22×C414yes—
212C4×C5×D3C22×C414yes—
213C4×C5×D3C22×C414yes—
214C4×C5×D3C22×C414yes—
215C2×C3×Dic5C2414yes—
216C3×D20C22×C418yes—
217C3×D20C22×C418yes—
218C3×C4×D5—48no—
219#1201C22×C4116yes—
220#1201C22×C4116yes—
221D3×Dic5—44no—
222D5×Dic3—48no—
223D5×Dic3C22×C4116yes—
224D5×Dic3C22×C4116yes—
225C22×C3×D4—51no—
226C22×#67—52no—
227C23×Dic3—52no—
228C2×#237—516no—
229C2×#237—52no—
230C2×#237—52no—
231C2×#237—52no—
232C2×#237—52no—
233C22×C4×D3C2×D511yescharacteristic
234C22×Dic6—51no—
235C3×C4×D4—54no—
236C3×C4×D4—54no—
237C3×#117—51no—
238C3×#117C2×D511yescharacteristic
239C2×C3×C22⋊C4—54no—
240C2×#217—54no—
241D4×Dic3—54no—
242D4×Dic3—54no—
243C4×#67—58no—
244C4×#67—58no—
245#926—51no—
246#926C2×D511yescharacteristic
247C2×Dic3⋊C4—58no—
248C2×C4×Dic3—58no—
249#892—52no—
250#892C2×D512yescomplemented
251D3×C4⋊C4—52no—
252D3×C4⋊C4C2×D512yescomplemented
253#887—54no—
254#887—54no—
255#67⋊C4—58no—
256#67⋊C4—58no—
257D3×C22⋊C4—52no—
258D3×C22⋊C4C2×D512yes—
259#877—52no—
260#877—54no—
261#877—54no—
262#877—58no—
263#877—58no—
264#877C2×D512yes—
265#872—52no—
266#872C2×D512yescomplemented
267C42×D3—52no—
268C42×D3C2×D512yescomplemented
269C4×Dic6—54no—
270C4×Dic6—54no—
271C24×C5—31no—
272C23×D5C22×D312yes—
273C22×C4×C5—31no—
274C22×C4×C5—38no—
275C22×C4×C5—31no—
276C22×C4×C5—31no—
277C22×C4×C5—31no—
278C22×C4×C5—31no—
279C22×C4×C5—34no—
280C22×C4×C5C22×D311yescharacteristic
281C2×C22⋊D5—316no—
282C2×C22⋊D5—34no—
283C2×C22⋊D5—34no—
284C22×Dic5—32no—
285C22×Dic5—34no—
286#709—316no—
287#709—316no—
288#709—316no—
289#709—316no—
290C2×D20C4×D318yescomplemented
291C2×D20C22×D312yes—
292C2×D20C22×D312yes—
293C2×C4×D5—316no—
294C2×C4×D5—34no—
295C2×C4×D5—34no—
296C2×C4×D5—38no—
297C2×C4×D5C22×D318yes—
298C2×Dic10—38no—
299C2×Dic10—32no—
300C2×Dic10—32no—
301C5×C4⋊C4—34no—
302C5×C4⋊C4—32no—
303C5×C4⋊C4C22×D312yes—
304C5×C22⋊C4—32no—
305C5×C22⋊C4—34no—
306C5×C22⋊C4C22×D312yes—
307C42×C5—32no—
308C42×C5—34no—
309C42×C5C22×D312yes—
310C22⋊Dic5—32no—
311C22⋊Dic5—34no—
312C22⋊Dic5C22×D312yes—
313#685—38no—
314#685C22×D318yes—
315C4⋊Dic5—32no—
316C4⋊Dic5—34no—
317C4⋊Dic5C22×D312yes—
318#683—38no—
319#683—38no—
320C4×Dic5—38no—
321C4×Dic5—32no—
322C4×Dic5—38no—
323C4×Dic5—34no—
324C4×Dic5C22×D312yes—
325C22×#41—151no—
326#520—154no—
327#520—154no—
328#519—151no—
329#519—151no—
330#518—51no—
331#518—154no—
332#518—151no—
333C4×#41—154no—
334C4×#41—154no—
335C2×#117—31no—
336C2×#117—154no—
337C2×#117—151no—
338C22×C3×C5—22no—
339C22×C3×C5C23×C412yes—
340C22×C3×C5C2511yescharacteristic
341C2×C5×D3—22no—
342C2×C5×D3—22no—
343C2×C5×D3—44no—
344C2×C5×D3C23×C412yes—
345C2×C5×D3C23×C412yes—
346C2×C3×D5—28no—
347C2×C3×D5—48no—
348C2×C3×D5C23×C418yes—
349C3×C4×C5—24no—
350C3×C4×C5C23×C412yes—
351C3×C4×C5C23×C412yes—
352Dic15—24no—
353Dic15C23×C418yes—
354C3×Dic5—24no—
355C5×Dic3—24no—
356C5×Dic3C23×C412yes—
357C5×Dic3C23×C412yes—
358C24×C3—52no—
359C23×D3C22×D511yescharacteristic
360C2×C3×D4—58no—
361C2×C3×D4—52no—
362C2×C3×D4—52no—
363C22×C3×C4—58no—
364C22×C3×C4C22×D511yescharacteristic
365C2×#67—516no—
366C2×#67—54no—
367C2×#67—54no—
368C22×Dic3—52no—
369C22×Dic3—516no—
370C22×Dic3—54no—
371C22×Dic3—54no—
372C22×Dic3—58no—
373C22×Dic3C22×D511yescharacteristic
374#237—516no—
375#237—516no—
376#237—516no—
377#237—516no—
378C2×C4×D3—54no—
379C2×C4×D3C4×D518yescomplemented
380C2×C4×D3C22×D514yes—
381C2×C4×D3C22×D511yescharacteristic
382C2×C4×D3C22×D511yescharacteristic
383C2×C4×D3C22×D511yescharacteristic
384C2×C4×D3C22×D511yescharacteristic
385C2×Dic6—58no—
386C2×Dic6—52no—
387C2×Dic6—52no—
388C3×C4⋊C4—52no—
389C3×C4⋊C4C22×D512yes—
390C3×C22⋊C4—52no—
391C3×C22⋊C4—58no—
392C3×C22⋊C4C22×D512yes—
393C3×C42—52no—
394C3×C42C22×D512yes—
395#217—52no—
396#217—58no—
397#217C22×D512yes—
398(C2×D3)⋊C4—54no—
399(C2×D3)⋊C4C22×D514yes—
400C4⋊Dic3—52no—
401C4⋊Dic3C22×D512yes—
402Dic3⋊C4—58no—
403Dic3⋊C4—58no—
404Dic3⋊C4—54no—
405Dic3⋊C4C22×D514yes—
406C4×Dic3—58no—
407C4×Dic3—52no—
408C4×Dic3—58no—
409C4×Dic3—54no—
410C4×Dic3C22×D512yes—
411C4×Dic3C22×D514yes—
412C23×C5—31no—
413C23×C5—31no—
414C23×C5—34no—
415C23×C5—122no—
416C23×C5C23×D311yescharacteristic
417C22×D5—44no—
418C22×D5C2×C4×D318yes—
419C22×D5C23×D314yes—
420C2×C4×C5—34no—
421C2×C4×C5—31no—
422C2×C4×C5—31no—
423C2×C4×C5—34no—
424C2×C4×C5—34no—
425C2×C4×C5—34no—
426C2×C4×C5—34no—
427C2×C4×C5—34no—
428C2×C4×C5—124no—
429C2×C4×C5C2×C4×D314yes—
430C2×C4×C5C23×D314yes—
431C2×C4×C5C23×D311yescharacteristic
432C2×C4×C5C23×D311yescharacteristic
433C22⋊D5—316no—
434C22⋊D5—316no—
435C2×Dic5—38no—
436C2×Dic5—34no—
437C2×Dic5—34no—
438C2×Dic5—124no—
439C2×Dic5C23×D314yes—
440D20C2×C4×D318yes—
441D20C2×C4×D318yes—
442C4×D5—316no—
443C4×D5—316no—
444C4×D5—48no—
445C4×D5—128no—
446Dic10—38no—
447Dic10—38no—
448C2×#41—152no—
449C2×#41—152no—
450C2×#41—152no—
451C2×#41—152no—
452C2×#41—1516no—
453C22×Q8—151no—
454C22×D4—51no—
455C22×D4—152no—
456C23×C4—31no—
457C23×C4—152no—
458C4×Q8—154no—
459C4×Q8—154no—
460C4×Q8—154no—
461C4×Q8—154no—
462C4×D4—54no—
463C4×D4—54no—
464C4×D4—154no—
465C4×D4—158no—
466C4×D4—158no—
467C4×D4—158no—
468C4×D4—154no—
469C4×D4—158no—
470#117—31no—
471#117—32no—
472#117—32no—
473#117—32no—
474#117—51no—
475#117—158no—
476#117—152no—
477#117—154no—
478#117—158no—
479#117—152no—
480#117—152no—
481#117—151no—
482#117—154no—
483#117D3×D511yescharacteristic
484C2×C4⋊C4—32no—
485C2×C4⋊C4—158no—
486C2×C4⋊C4—152no—
487C2×C22⋊C4—32no—
488C2×C22⋊C4—54no—
489C2×C22⋊C4—154no—
490C2×C22⋊C4—152no—
491C2×C42—32no—
492C2×C42—158no—
493C2×C42—152no—
494C2×C3×C5—22no—
495C2×C3×C5C24×C411yescharacteristic
496C2×C3×C5#58512yes—
497C3×D5—28no—
498C5×D3—22no—
499C5×D3—22no—
500C23×C3—54no—
501C23×C3—58no—
502C23×C3—204no—
503C23×C3C23×D511yescharacteristic
504C22×D3—42no—
505C22×D3C2×C4×D514yes—
506C22×D3C23×D511yescharacteristic
507C22×D3C23×D511yescharacteristic
508C3×D4—58no—
509C3×D4—58no—
510C2×C3×C4—54no—
511C2×C3×C4—208no—
512C2×C3×C4C2×C4×D514yes—
513C2×C3×C4C23×D514yes—
514C2×C3×C4C23×D511yescharacteristic
515C2×C3×C4C23×D511yescharacteristic
516#67—516no—
517#67—516no—
518C2×Dic3—58no—
519C2×Dic3—54no—
520C2×Dic3—516no—
521C2×Dic3—516no—
522C2×Dic3—54no—
523C2×Dic3—208no—
524C2×Dic3C2×C4×D514yes—
525C2×Dic3C23×D514yes—
526C2×Dic3C23×D511yescharacteristic
527C2×Dic3C23×D511yescharacteristic
528C4×D3—44no—
529C4×D3—204no—
530C4×D3C2×C4×D514yes—
531C4×D3C2×C4×D514yes—
532C4×D3C2×C4×D514yes—
533C4×D3C2×C4×D514yes—
534Dic6—58no—
535Dic6—58no—
536C22×C5—22no—
537C22×C5—32no—
538C22×C5—32no—
539C22×C5—62no—
540C22×C5—62no—
541C22×C5—124no—
542C22×C5C22×C4×D312yes—
543C22×C5C24×D311yescharacteristic
544C2×D5—28no—
545C2×D5—48no—
546C2×D5C22×C4×D318yes—
547C4×C5—24no—
548C4×C5—32no—
549C4×C5—32no—
550C4×C5—64no—
551C4×C5C22×C4×D312yes—
552C4×C5C22×C4×D312yes—
553Dic5—24no—
554Dic5—38no—
555Dic5—64no—
556C24—31no—
557C24—52no—
558#41—1516no—
559#41—1516no—
560#41—1516no—
561#41—1516no—
562C2×Q8—158no—
563C2×Q8—152no—
564C2×Q8—152no—
565C2×D4—58no—
566C2×D4—52no—
567C2×D4—52no—
568C2×D4—154no—
569C2×D4—154no—
570C2×D4—1516no—
571C22×C4—31no—
572C22×C4—38no—
573C22×C4—31no—
574C22×C4—31no—
575C22×C4—31no—
576C22×C4—31no—
577C22×C4—34no—
578C22×C4—58no—
579C22×C4—154no—
580C22×C4—154no—
581C22×C4—1516no—
582C22×C4—158no—
583C22×C4—154no—
584C22×C4—152no—
585C22×C4C2×D3×D511yescharacteristic
586C4⋊C4—34no—
587C4⋊C4—32no—
588C4⋊C4—52no—
589C4⋊C4—154no—
590C4⋊C4—158no—
591C4⋊C4—158no—
592C4⋊C4—152no—
593C4⋊C4C2×D3×D512yes—
594C22⋊C4—32no—
595C22⋊C4—34no—
596C22⋊C4—52no—
597C22⋊C4—58no—
598C22⋊C4—158no—
599C22⋊C4—154no—
600C22⋊C4—152no—
601C22⋊C4C2×D3×D512yes—
602C42—34no—
603C42—32no—
604C42—52no—
605C42—154no—
606C42—158no—
607C42—158no—
608C42—152no—
609C42C2×D3×D512yes—
610C3×C5#342811yescharacteristic, complemented, Hall
611C22×C3—22no—
612C22×C3—58no—
613C22×C3—108no—
614C22×C3—208no—
615C22×C3C22×C4×D512yes—
616C22×C3C24×D511yescharacteristic
617C2×D3—22no—
618C2×D3—22no—
619C2×D3—44no—
620C2×D3C22×C4×D512yes—
621C2×D3C22×C4×D512yes—
622C3×C4—24no—
623C3×C4—104no—
624C3×C4C22×C4×D512yes—
625C3×C4C22×C4×D512yes—
626Dic3—24no—
627Dic3—58no—
628Dic3—104no—
629Dic3C22×C4×D512yes—
630Dic3C22×C4×D512yes—
631C2×C5—22no—
632C2×C5—62no—
633C2×C5—62no—
634C2×C5C23×C4×D311yescharacteristic
635C2×C5#596612yes—
636D5—28no—
637C23—31no—
638C23—31no—
639C23—34no—
640C23—54no—
641C23—58no—
642C23—122no—
643C23—204no—
644C23C22×D3×D511yescharacteristic
645Q8—158no—
646Q8—158no—
647D4—58no—
648D4—58no—
649D4—1516no—
650D4—1516no—
651C2×C4—34no—
652C2×C4—31no—
653C2×C4—31no—
654C2×C4—34no—
655C2×C4—34no—
656C2×C4—34no—
657C2×C4—34no—
658C2×C4—34no—
659C2×C4—54no—
660C2×C4—124no—
661C2×C4—1516no—
662C2×C4—1516no—
663C2×C4—158no—
664C2×C4—154no—
665C2×C4—154no—
666C2×C4—208no—
667C2×C4—608no—
668C2×C4—604no—
669C2×C4C4×D3×D514yes—
670C2×C4C22×D3×D514yes—
671C2×C4C22×D3×D511yescharacteristic
672C2×C4C22×D3×D511yescharacteristic
673C2×C3—22no—
674C2×C3—108no—
675C2×C3C23×C4×D511yescharacteristic
676C2×C3#6628312yes—
677D3—22no—
678D3—22no—
679C5#8585611yescharacteristic, complemented, Sylow
680C22—22no—
681C22—32no—
682C22—32no—
683C22—58no—
684C22—62no—
685C22—62no—
686C22—108no—
687C22—124no—
688C22—208no—
689C22C2×C4×D3×D512yes—
690C22C23×D3×D511yescharacteristic
691C4—24no—
692C4—32no—
693C4—32no—
694C4—64no—
695C4—104no—
696C4—158no—
697C4—304no—
698C4C2×C4×D3×D512yes—
699C4C2×C4×D3×D512yes—
700C3#1061763211yescharacteristic, complemented, Sylow
701C2—22no—
702C2—62no—
703C2—62no—
704C2—108no—
705C2C22×C4×D3×D511yescharacteristic
706C2#1175706112yes—
subgroupG/H
center, FrattiniC22C23×D3×D5
commutatorC2×C3×C5C24×C4
FittingC3×C5×#117C22
socle, cosocleC22×C3×C5C25
prime radicalC22×#6765C2
hypercenter#117D3×D5
hypocenterC3×C5#3428
LCSG ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ #117

Complements

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

NH ≅ G/Ntype
2. #11756275C2semidirect
3. C5×D3×#117C2semidirect
4. C3×#65855C2semidirect
5. #11754488C2semidirect
6. D3×#4072C2semidirect
7. #11754213C2semidirect
8. #11753399C2semidirect
9. #11753398C2semidirect
10. #11753065C2semidirect
11. D5×#877C2semidirect
12. #11752518C2semidirect
13. C4×#6765C2semidirect
20. C2×#6765C4semidirect
27. #91776C22semidirect
29. C4×Dic30C22semidirect
31. C5×#892C22semidirect
32. C5×D3×C4⋊C4C22semidirect
35. C5×#872C22semidirect
36. C42×C5×D3C22semidirect
38. C3×#4039C22semidirect
40. C3×C4×D20C22semidirect
45. #91442C22semidirect
46. #91441C22semidirect
47. #91440C22semidirect
48. C4×#1201C22semidirect
49. #91434C22semidirect
50. D3×C4⋊Dic5C22semidirect
51. Dic3×D20C22semidirect
52. C4×D3×Dic5C22semidirect
53. #91394C22semidirect
54. #91393C22semidirect
55. D5×Dic3⋊C4C22semidirect
56. C4×D5×Dic3C22semidirect
57. #91371C22semidirect
58. #91340C22semidirect
59. #91338C22semidirect
60. #91333C22semidirect
68. #65855D3semidirect
79. C2×Dic30C2×C4semidirect
83. C2×C4×C5×D3C2×C4semidirect
89. C2×C3×D20C2×C4semidirect
93. C2×#1201C2×C4semidirect
97. C2×D5×Dic3C2×C4semidirect
101. #6765C2×C4semidirect
102. #6765C2×C4semidirect
103. #6765C2×C4semidirect
104. #6765C2×C4semidirect
137. D3×#117D5semidirect
171. #4039C2×D3semidirect
183. C4×D20C2×D3semidirect
250. #892C2×D5semidirect
252. D3×C4⋊C4C2×D5semidirect
266. #872C2×D5semidirect
268. C42×D3C2×D5semidirect
290. C2×D20C4×D3semidirect
379. C2×C4×D3C4×D5semidirect
610. C3×C5#3428semidirect
679. C5#85856semidirect
700. C3#10617632semidirect

Maximal subgroups

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

subgroupindex
C22×#67652
#117562752
C5×D3×#1172
C3×#658552
#117544882
D3×#40722
#117542132
#117533992
#117533982
#117530652
D5×#8772
#117525182
C4×#67652
#106176323
#858565