Finite Group Databasebeta

← #14479155

Subgroups — #14479155

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×#6773C211yesmaximal, characteristic
2#11756280C211yesmaximal, characteristic, complemented
3C5×#5516C211yesmaximal, characteristic, complemented
4C3×D5×#117C211yesmaximal, characteristic, complemented
5#11754515C211yesmaximal, characteristic, complemented
6D5×#926C211yesmaximal, characteristic, complemented
7#11754211C211yesmaximal, characteristic, complemented
8#11753403C214yesmaximal, complemented
9#11753336C214yesmaximal, complemented
10#11753066C214yesmaximal, complemented
11#11752825C214yesmaximal, complemented
12C4×#6773C214yesmaximal, complemented
13#11752521C214yesmaximal, complemented
14#10617773—31nomaximal, Hall
15C22×D60C2211yescharacteristic
16C22×C5×Dic6C2211yescharacteristic
17C22×C3×C4×D5C2211yescharacteristic
18C22×#1202C2212yes—
19C22×#1200C2212yes—
20C2×#6773C4116yescomplemented
21C2×#6773C2212yes—
22C2×#6773C2212yes—
23C2×#6773C2212yes—
24C2×#6773C2212yes—
25C3×C5×#117C2211yescharacteristic
26#91815C2211yescharacteristic
27#91782C2214yescomplemented
28C22⋊C4×D15C2214yes—
29C4×D60C2214yescomplemented
30C5×#926C2211yescharacteristic
31C5×#887C2214yescomplemented
32C5×#877C2214yes—
33C4×C5×Dic6C2214yescomplemented
34C3×#4072C2211yescharacteristic
35C3×#4038C2212yescomplemented
36C3×D5×C4⋊C4C2212yescomplemented
37C3×D5×C22⋊C4C2212yes—
38C3×#4023C2212yes—
39C3×#4018C2212yescomplemented
40C3×C42×D5C2212yescomplemented
41#91561C2214yes—
42D5×#217C2212yes—
43#91529C2214yes—
44#91528C2212yes—
45#91444C2218yescomplemented
46C4×#1202C2218yescomplemented
47#91428C2214yescomplemented
48#91418C2214yescomplemented
49D5×C4⋊Dic3C2212yescomplemented
50#91404C2218yescomplemented
51#91403C2218yescomplemented
52#91402C2218yescomplemented
53C4×#1200C2218yescomplemented
54#91396C2218yescomplemented
55#91395C2218yescomplemented
56C4×D5×Dic3C2212yescomplemented
57#91358C2212yescomplemented
58#91357C2212yescomplemented
59#91344C2214yescomplemented
60Dic5×Dic6C2214yescomplemented
61#85731—51nomaximal, Hall
62C22×#713—31no—
63C5×#519—31no—
64#66146—31no—
65#65908—34no—
66#65908—34no—
67C4×#713—34no—
68C4×#713—34no—
69#65855—31no—
70#65855—34no—
71#65855—31no—
72D5×#117—34no—
73D5×#117—31no—
74D5×#117D311yescharacteristic, complemented
75C23×D15C2312yes—
76C23×C3×D5C2311yescharacteristic
77C22×C3×C4×C5C2311yescharacteristic
78C2×D60C2×C418yescomplemented
79C2×D60C2312yes—
80C2×D60C2312yes—
81C2×C4×D15C2318yes—
82C22×C5×Dic3C2312yes—
83C2×C5×Dic6C2×C418yescomplemented
84C2×C5×Dic6C2312yes—
85C2×C5×Dic6C2312yes—
86C22×C3×Dic5C2311yescharacteristic
87C2×C3×C4×D5C2×C418yescomplemented
88C2×C3×C4×D5C2314yes—
89C2×C3×C4×D5C2311yescharacteristic
90C2×C3×C4×D5C2311yescharacteristic
91C2×C3×C4×D5C2311yescharacteristic
92C2×C3×C4×D5C2311yescharacteristic
93C2×#1202C2×C4116yescomplemented
94C2×#1202C2314yes—
95C2×#1202C2314yes—
96C2×#1200C2×C4116yescomplemented
97C2×#1200C2318yes—
98C2×#1200C2314yes—
99C2×#1200C2314yes—
100C2×D5×Dic3C2314yes—
101#6773C2×C4116yescomplemented
102#6773C2×C4116yescomplemented
103#6773C2×C4116yescomplemented
104#6773C2×C4116yescomplemented
105C3×C5×C4⋊C4C2312yes—
106C3×C5×C22⋊C4C2312yes—
107C3×C42×C5C2312yes—
108#6719C2312yes—
109#6714C2318yes—
110C4⋊Dic15C2312yes—
111C4×Dic15C2312yes—
112C5×#217C2312yes—
113C5×C4⋊Dic3C2312yes—
114C5×Dic3⋊C4C2318yes—
115C4×C5×Dic3C2318yes—
116C4×C5×Dic3C2312yes—
117C3×C22⋊Dic5C2312yes—
118C3×#685C2314yes—
119C3×C4⋊Dic5C2312yes—
120C3×#683C2314yes—
121C3×C4×Dic5C2314yes—
122C3×C4×Dic5C2312yes—
123Dic3⋊Dic5C2318yes—
124#6668C2314yes—
125#6667C2318yes—
126#6665C2314yes—
127Dic3×Dic5C2318yes—
128Dic3×Dic5C2314yes—
129C22×#235—51no—
130C2×C3×#117—51no—
131C2×#926—51no—
132#5523—54no—
133#5522—54no—
134#5521—51no—
135#5521—51no—
136D3×#117—54no—
137#5516—51no—
138#5516D511yescharacteristic, complemented
139#5504—54no—
140#5486—54no—
141C4×#235—54no—
142C22×C5×Q8—31no—
143C2×#713—316no—
144C2×#713—32no—
145C2×#713—32no—
146C2×#713—32no—
147C2×#713—32no—
148C22×D20—32no—
149C22×D20—31no—
150C22×C4×D5—32no—
151C22×C4×D5C2×D311yescharacteristic
152C4×C5×Q8—34no—
153C4×C5×Q8—34no—
154C5×#117—31no—
155C5×#117—34no—
156C5×#117C2×D311yescharacteristic
157Q8×Dic5—34no—
158Q8×Dic5—34no—
159#4072—31no—
160#4072—34no—
161#4072C2×D311yescharacteristic
162#4039—38no—
163#4039—34no—
164#4039—38no—
165#4039—34no—
166#4038—32no—
167#4038—38no—
168#4038C2×D312yescomplemented
169D5×C4⋊C4—32no—
170D5×C4⋊C4—38no—
171D5×C4⋊C4C2×D312yescomplemented
172D5×C22⋊C4—32no—
173D5×C22⋊C4—34no—
174D5×C22⋊C4—34no—
175D5×C22⋊C4C2×D312yes—
176#4023—32no—
177#4023C2×D312yes—
178C4×D20—38no—
179C4×D20—34no—
180C4×D20—38no—
181C4×D20—34no—
182#4018—32no—
183#4018—38no—
184#4018C2×D312yescomplemented
185C42×D5—32no—
186C42×D5—38no—
187C42×D5C2×D312yescomplemented
188#3428—151noSylow
189C23×C3×C5C2411yescharacteristic
190C22×D15—44no—
191C22×D15C22×C418yes—
192C22×D15C2414yes—
193C22×C3×D5—42no—
194C22×C3×D5C22×C414yes—
195C22×C3×D5C2411yescharacteristic
196C22×C3×D5C2411yescharacteristic
197C2×C3×C4×C5C22×C414yes—
198C2×C3×C4×C5C2414yes—
199C2×C3×C4×C5C2411yescharacteristic
200C2×C3×C4×C5C2411yescharacteristic
201C2×Dic15C2414yes—
202D60C22×C418yes—
203D60C22×C418yes—
204C4×D15—48no—
205C2×C5×Dic3C22×C418yes—
206C2×C5×Dic3C2414yes—
207C2×C5×Dic3C2414yes—
208C5×Dic6C22×C418yes—
209C5×Dic6C22×C418yes—
210C2×C3×Dic5C22×C414yes—
211C2×C3×Dic5C2414yes—
212C2×C3×Dic5C2411yescharacteristic
213C2×C3×Dic5C2411yescharacteristic
214C3×C4×D5—44no—
215C3×C4×D5C22×C414yes—
216C3×C4×D5C22×C414yes—
217C3×C4×D5C22×C414yes—
218C3×C4×D5C22×C414yes—
219#1202C22×C4116yes—
220#1202C22×C4116yes—
221#1200—48no—
222#1200C22×C4116yes—
223#1200C22×C4116yes—
224D5×Dic3—44no—
225C23×C3×C4—51no—
226C22×#67—52no—
227C2×#235—516no—
228C2×#235—52no—
229C2×#235—52no—
230C2×#235—52no—
231C2×#235—52no—
232C22×D12—51no—
233C22×C4×D3—52no—
234C22×Dic6C2×D511yescharacteristic
235C3×#117—51no—
236C3×#117—52no—
237C3×#117—52no—
238C3×#117—52no—
239C3×#117C2×D511yescharacteristic
240C2×C3×C4⋊C4—52no—
241C2×C3×C22⋊C4—52no—
242C2×C3×C42—52no—
243C2×#217—52no—
244C4×#67—58no—
245C4×#67—58no—
246#926—51no—
247#926—52no—
248#926—52no—
249#926—52no—
250#926C2×D511yescharacteristic
251C2×C4⋊Dic3—52no—
252C2×C4×Dic3—52no—
253#893—54no—
254#893—54no—
255#892—58no—
256D3×C4⋊C4—58no—
257#887—54no—
258#887C2×D514yescomplemented
259#67⋊C4—58no—
260#67⋊C4—58no—
261D3×C22⋊C4—54no—
262D3×C22⋊C4—54no—
263#877—54no—
264#877C2×D514yes—
265C4×D12—54no—
266C4×D12—54no—
267#872—58no—
268C42×D3—58no—
269C4×Dic6—54no—
270C4×Dic6C2×D514yescomplemented
271C23×D5—32no—
272C23×D5C22×D311yescharacteristic
273C2×C5×Q8—38no—
274C2×C5×Q8—32no—
275C2×C5×Q8—32no—
276C22×C4×C5—32no—
277C22×C4×C5C22×D311yescharacteristic
278C22×Dic5C22×D311yescharacteristic
279#713—316no—
280#713—316no—
281#713—316no—
282#713—316no—
283C2×D20—316no—
284C2×D20—34no—
285C2×D20—34no—
286C2×D20—38no—
287C2×D20—32no—
288C2×D20—32no—
289C2×C4×D5—316no—
290C2×C4×D5—34no—
291C2×C4×D5—34no—
292C2×C4×D5—34no—
293C2×C4×D5—38no—
294C2×C4×D5—38no—
295C2×C4×D5C4×D318yescomplemented
296C2×C4×D5C22×D314yes—
297C2×C4×D5C22×D311yescharacteristic
298C2×C4×D5C22×D311yescharacteristic
299C2×C4×D5C22×D311yescharacteristic
300C2×C4×D5C22×D311yescharacteristic
301C5×C4⋊C4—38no—
302C5×C4⋊C4—32no—
303C5×C4⋊C4C22×D312yes—
304C5×C22⋊C4—32no—
305C5×C22⋊C4C22×D312yes—
306C42×C5—38no—
307C42×C5—32no—
308C42×C5C22×D312yes—
309C22⋊Dic5—32no—
310C22⋊Dic5C22×D312yes—
311#685—34no—
312#685—38no—
313#685—38no—
314#685C22×D314yes—
315C4⋊Dic5—32no—
316C4⋊Dic5—38no—
317C4⋊Dic5C22×D312yes—
318#683—34no—
319#683C22×D314yes—
320C4×Dic5—32no—
321C4×Dic5—34no—
322C4×Dic5—38no—
323C4×Dic5C22×D314yes—
324C4×Dic5C22×D312yes—
325C22×#41—151no—
326#520—154no—
327#520—154no—
328#519—31no—
329#519—151no—
330#518—154no—
331#518—151no—
332#518—151no—
333C4×#41—154no—
334C4×#41—154no—
335C2×#117—51no—
336C2×#117—154no—
337C2×#117—151no—
338C22×C3×C5—22no—
339C22×C3×C5C23×C412yes—
340C22×C3×C5C2511yescharacteristic
341C2×D15—28no—
342C2×D15—48no—
343C2×D15C23×C418yes—
344C2×C3×D5—22no—
345C2×C3×D5—22no—
346C2×C3×D5—44no—
347C2×C3×D5C23×C412yes—
348C2×C3×D5C23×C412yes—
349C3×C4×C5—24no—
350C3×C4×C5C23×C412yes—
351C3×C4×C5C23×C412yes—
352Dic15—24no—
353C3×Dic5—24no—
354C3×Dic5C23×C412yes—
355C3×Dic5C23×C412yes—
356C5×Dic3—24no—
357C5×Dic3C23×C418yes—
358C24×C3—51no—
359C23×D3—52no—
360C22×C3×C4—51no—
361C22×C3×C4—58no—
362C22×C3×C4—51no—
363C22×C3×C4—51no—
364C22×C3×C4—51no—
365C22×C3×C4—51no—
366C22×C3×C4—54no—
367C22×C3×C4C22×D511yescharacteristic
368C2×#67—516no—
369C2×#67—54no—
370C2×#67—54no—
371C22×Dic3—54no—
372C22×Dic3C22×D512yes—
373#235—516no—
374#235—516no—
375#235—516no—
376#235—516no—
377C2×D12—58no—
378C2×D12—52no—
379C2×D12—52no—
380C2×C4×D3—516no—
381C2×C4×D3—54no—
382C2×C4×D3—54no—
383C2×C4×D3—58no—
384C2×C4×D3—58no—
385C2×Dic6C4×D518yescomplemented
386C2×Dic6C22×D512yes—
387C2×Dic6C22×D512yes—
388C3×C4⋊C4—54no—
389C3×C4⋊C4—52no—
390C3×C4⋊C4C22×D512yes—
391C3×C22⋊C4—52no—
392C3×C22⋊C4—54no—
393C3×C22⋊C4C22×D512yes—
394C3×C42—52no—
395C3×C42—54no—
396C3×C42C22×D512yes—
397#217—52no—
398#217—54no—
399#217C22×D512yes—
400(C2×D3)⋊C4—58no—
401(C2×D3)⋊C4—58no—
402C4⋊Dic3—52no—
403C4⋊Dic3—54no—
404C4⋊Dic3C22×D512yes—
405Dic3⋊C4—58no—
406Dic3⋊C4C22×D518yes—
407C4×Dic3—52no—
408C4×Dic3—58no—
409C4×Dic3—54no—
410C4×Dic3C22×D518yes—
411C4×Dic3C22×D512yes—
412C23×C5C23×D311yescharacteristic
413C22×D5—34no—
414C22×D5—38no—
415C22×D5—42no—
416C22×D5—124no—
417C22×D5C2×C4×D314yes—
418C22×D5C23×D311yescharacteristic
419C22×D5C23×D311yescharacteristic
420C5×Q8—38no—
421C5×Q8—38no—
422C2×C4×C5—38no—
423C2×C4×C5—34no—
424C2×C4×C5—34no—
425C2×C4×C5C2×C4×D314yes—
426C2×C4×C5C23×D314yes—
427C2×C4×C5C23×D311yescharacteristic
428C2×C4×C5C23×D311yescharacteristic
429C2×Dic5—34no—
430C2×Dic5C2×C4×D314yes—
431C2×Dic5C23×D314yes—
432C2×Dic5C23×D311yescharacteristic
433C2×Dic5C23×D311yescharacteristic
434D20—316no—
435D20—316no—
436D20—38no—
437D20—38no—
438C4×D5—316no—
439C4×D5—316no—
440C4×D5—44no—
441C4×D5—128no—
442C4×D5—128no—
443C4×D5—124no—
444C4×D5C2×C4×D314yes—
445C4×D5C2×C4×D314yes—
446C4×D5C2×C4×D314yes—
447C4×D5C2×C4×D314yes—
448C2×#41—152no—
449C2×#41—152no—
450C2×#41—152no—
451C2×#41—152no—
452C2×#41—1516no—
453C22×Q8—31no—
454C22×D4—152no—
455C22×D4—151no—
456C23×C4—51no—
457C23×C4—152no—
458C4×Q8—34no—
459C4×Q8—34no—
460C4×Q8—154no—
461C4×Q8—154no—
462C4×D4—158no—
463C4×D4—154no—
464C4×D4—158no—
465C4×D4—154no—
466C4×D4—158no—
467C4×D4—158no—
468C4×D4—154no—
469C4×D4—154no—
470#117—31no—
471#117—34no—
472#117—51no—
473#117—52no—
474#117—52no—
475#117—52no—
476#117—158no—
477#117—152no—
478#117—158no—
479#117—152no—
480#117—154no—
481#117—152no—
482#117—151no—
483#117D3×D511yescharacteristic
484C2×C4⋊C4—52no—
485C2×C4⋊C4—158no—
486C2×C4⋊C4—152no—
487C2×C22⋊C4—52no—
488C2×C22⋊C4—154no—
489C2×C22⋊C4—152no—
490C2×C22⋊C4—154no—
491C2×C42—52no—
492C2×C42—158no—
493C2×C42—152no—
494C2×C3×C5—22no—
495C2×C3×C5C24×C411yescharacteristic
496C2×C3×C5#58512yes—
497D15—28no—
498C3×D5—22no—
499C3×D5—22no—
500C23×C3—51no—
501C23×C3—51no—
502C23×C3—54no—
503C23×C3—202no—
504C23×C3C23×D511yescharacteristic
505C22×D3—54no—
506C22×D3—58no—
507C22×D3—204no—
508C2×C3×C4—54no—
509C2×C3×C4—51no—
510C2×C3×C4—51no—
511C2×C3×C4—54no—
512C2×C3×C4—54no—
513C2×C3×C4—54no—
514C2×C3×C4—54no—
515C2×C3×C4—54no—
516C2×C3×C4—204no—
517C2×C3×C4C2×C4×D514yes—
518C2×C3×C4C23×D514yes—
519C2×C3×C4C23×D511yescharacteristic
520C2×C3×C4C23×D511yescharacteristic
521#67—516no—
522#67—516no—
523C2×Dic3—54no—
524C2×Dic3—204no—
525C2×Dic3C2×C4×D518yes—
526C2×Dic3C23×D514yes—
527C2×Dic3C23×D514yes—
528D12—58no—
529D12—58no—
530C4×D3—516no—
531C4×D3—516no—
532C4×D3—208no—
533C4×D3—208no—
534Dic6C2×C4×D518yes—
535Dic6C2×C4×D518yes—
536C22×C5—22no—
537C22×C5C22×C4×D312yes—
538C22×C5C24×D311yescharacteristic
539C2×D5—22no—
540C2×D5—22no—
541C2×D5—38no—
542C2×D5—44no—
543C2×D5—68no—
544C2×D5—128no—
545C2×D5C22×C4×D312yes—
546C2×D5C22×C4×D312yes—
547C4×C5—24no—
548C4×C5—38no—
549C4×C5—64no—
550C4×C5C22×C4×D312yes—
551C4×C5C22×C4×D312yes—
552Dic5—24no—
553Dic5—64no—
554Dic5C22×C4×D312yes—
555Dic5C22×C4×D312yes—
556C24—51no—
557C24—152no—
558#41—1516no—
559#41—1516no—
560#41—1516no—
561#41—1516no—
562C2×Q8—38no—
563C2×Q8—32no—
564C2×Q8—32no—
565C2×D4—154no—
566C2×D4—154no—
567C2×D4—1516no—
568C2×D4—158no—
569C2×D4—152no—
570C2×D4—152no—
571C22×C4—32no—
572C22×C4—51no—
573C22×C4—58no—
574C22×C4—51no—
575C22×C4—51no—
576C22×C4—51no—
577C22×C4—51no—
578C22×C4—54no—
579C22×C4—154no—
580C22×C4—154no—
581C22×C4—1516no—
582C22×C4—158no—
583C22×C4—154no—
584C22×C4—158no—
585C22×C4C2×D3×D511yescharacteristic
586C4⋊C4—38no—
587C4⋊C4—32no—
588C4⋊C4—54no—
589C4⋊C4—52no—
590C4⋊C4—154no—
591C4⋊C4—158no—
592C4⋊C4—152no—
593C4⋊C4C2×D3×D512yes—
594C22⋊C4—32no—
595C22⋊C4—52no—
596C22⋊C4—54no—
597C22⋊C4—158no—
598C22⋊C4—154no—
599C22⋊C4—152no—
600C22⋊C4—158no—
601C22⋊C4C2×D3×D512yes—
602C42—38no—
603C42—32no—
604C42—54no—
605C42—52no—
606C42—154no—
607C42—158no—
608C42—152no—
609C42C2×D3×D512yes—
610C3×C5#342811yescharacteristic, complemented, Hall
611C22×C3—22no—
612C22×C3—52no—
613C22×C3—52no—
614C22×C3—102no—
615C22×C3—102no—
616C22×C3—204no—
617C22×C3C22×C4×D512yes—
618C22×C3C24×D511yescharacteristic
619C2×D3—58no—
620C2×D3—108no—
621C2×D3—208no—
622C3×C4—24no—
623C3×C4—52no—
624C3×C4—52no—
625C3×C4—104no—
626C3×C4C22×C4×D512yes—
627C3×C4C22×C4×D512yes—
628Dic3—24no—
629Dic3—104no—
630Dic3C22×C4×D518yes—
631C2×C5—22no—
632C2×C5C23×C4×D311yescharacteristic
633C2×C5#596412yes—
634D5—22no—
635D5—22no—
636D5—68no—
637C23—51no—
638C23—51no—
639C23—54no—
640C23—154no—
641C23—158no—
642C23—202no—
643C23—604no—
644C23C22×D3×D511yescharacteristic
645Q8—38no—
646Q8—38no—
647D4—1516no—
648D4—1516no—
649D4—158no—
650D4—158no—
651C2×C4—38no—
652C2×C4—34no—
653C2×C4—34no—
654C2×C4—54no—
655C2×C4—51no—
656C2×C4—51no—
657C2×C4—54no—
658C2×C4—54no—
659C2×C4—54no—
660C2×C4—54no—
661C2×C4—54no—
662C2×C4—1516no—
663C2×C4—1516no—
664C2×C4—154no—
665C2×C4—204no—
666C2×C4—608no—
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—102no—
675C2×C3—102no—
676C2×C3C23×C4×D511yescharacteristic
677C2×C3#6628712yes—
678D3—108no—
679C5#8573111yescharacteristic, complemented, Sylow
680C22—22no—
681C22—52no—
682C22—52no—
683C22—102no—
684C22—102no—
685C22—158no—
686C22—204no—
687C22—308no—
688C22—608no—
689C22C2×C4×D3×D512yes—
690C22C23×D3×D511yescharacteristic
691C4—24no—
692C4—38no—
693C4—52no—
694C4—52no—
695C4—64no—
696C4—104no—
697C4—304no—
698C4C2×C4×D3×D512yes—
699C4C2×C4×D3×D512yes—
700C3#1061777311yescharacteristic, complemented, Sylow
701C2—22no—
702C2—102no—
703C2—102no—
704C2—308no—
705C2C22×C4×D3×D511yescharacteristic
706C2#1175706012yes—
subgroupG/H
center, FrattiniC22C23×D3×D5
commutatorC2×C3×C5C24×C4
FittingC3×C5×#117C22
socle, cosocleC22×C3×C5C25
prime radicalC22×#6773C2
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. #11756280C2semidirect
3. C5×#5516C2semidirect
4. C3×D5×#117C2semidirect
5. #11754515C2semidirect
6. D5×#926C2semidirect
7. #11754211C2semidirect
8. #11753403C2semidirect
9. #11753336C2semidirect
10. #11753066C2semidirect
11. #11752825C2semidirect
12. C4×#6773C2semidirect
13. #11752521C2semidirect
20. C2×#6773C4semidirect
27. #91782C22semidirect
29. C4×D60C22semidirect
31. C5×#887C22semidirect
33. C4×C5×Dic6C22semidirect
35. C3×#4038C22semidirect
36. C3×D5×C4⋊C4C22semidirect
39. C3×#4018C22semidirect
40. C3×C42×D5C22semidirect
45. #91444C22semidirect
46. C4×#1202C22semidirect
47. #91428C22semidirect
48. #91418C22semidirect
49. D5×C4⋊Dic3C22semidirect
50. #91404C22semidirect
51. #91403C22semidirect
52. #91402C22semidirect
53. C4×#1200C22semidirect
54. #91396C22semidirect
55. #91395C22semidirect
56. C4×D5×Dic3C22semidirect
57. #91358C22semidirect
58. #91357C22semidirect
59. #91344C22semidirect
60. Dic5×Dic6C22semidirect
74. D5×#117D3semidirect
78. C2×D60C2×C4semidirect
83. C2×C5×Dic6C2×C4semidirect
87. C2×C3×C4×D5C2×C4semidirect
93. C2×#1202C2×C4semidirect
96. C2×#1200C2×C4semidirect
101. #6773C2×C4semidirect
102. #6773C2×C4semidirect
103. #6773C2×C4semidirect
104. #6773C2×C4semidirect
138. #5516D5semidirect
168. #4038C2×D3semidirect
171. D5×C4⋊C4C2×D3semidirect
184. #4018C2×D3semidirect
187. C42×D5C2×D3semidirect
258. #887C2×D5semidirect
270. C4×Dic6C2×D5semidirect
295. C2×C4×D5C4×D3semidirect
385. C2×Dic6C4×D5semidirect
610. C3×C5#3428semidirect
679. C5#85731semidirect
700. C3#10617773semidirect

Maximal subgroups

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

subgroupindex
C22×#67732
#117562802
C5×#55162
C3×D5×#1172
#117545152
D5×#9262
#117542112
#117534032
#117533362
#117530662
#117528252
C4×#67732
#117525212
#106177733
#857315