Finite Group Databasebeta

← #14479151

Subgroups — #14479151

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×#6768C211yesmaximal, characteristic
2D15×#117C211yesmaximal, characteristic, complemented
3C5×#5521C211yesmaximal, characteristic, complemented
4C3×#65850C211yesmaximal, characteristic, complemented
5#11754503C211yesmaximal, characteristic, complemented
6#11754461C211yesmaximal, characteristic, complemented
7#11754188C211yesmaximal, characteristic, complemented
8#11753407C214yesmaximal, complemented
9#11753406C214yesmaximal, complemented
10#11753067C214yesmaximal, complemented
11D3×#4023C214yesmaximal, complemented
12#11752525C214yesmaximal, complemented
13C4×#6768C214yesmaximal, complemented
14#10617757—31nomaximal, Hall
15C22×C4×D15C2211yescharacteristic
16C22×C5×D12C2211yescharacteristic
17C22×C3×Dic10C2211yescharacteristic
18C22×#1203C2212yes—
19C22×D3×Dic5C2212yes—
20C2×#6768C4116yescomplemented
21C2×#6768C2212yes—
22C2×#6768C2212yes—
23C2×#6768C2212yes—
24C2×#6768C2212yes—
25C3×C5×#117C2211yescharacteristic
26#91815C2211yescharacteristic
27#91781C2212yescomplemented
28C4⋊C4×D15C2212yescomplemented
29C22⋊C4×D15C2212yes—
30#91766C2212yes—
31#91761C2212yescomplemented
32C42×D15C2212yescomplemented
33C5×#926C2211yescharacteristic
34C5×#893C2214yescomplemented
35C5×D3×C22⋊C4C2214yes—
36C4×C5×D12C2214yescomplemented
37C3×#4072C2211yescharacteristic
38C3×#4033C2214yescomplemented
39C3×#4023C2214yes—
40C3×C4×Dic10C2214yescomplemented
41#91561C2212yes—
42D3×C22⋊Dic5C2214yes—
43#91532C2212yes—
44#91528C2214yes—
45#91446C2218yescomplemented
46C4×#1203C2218yescomplemented
47#91437C2212yescomplemented
48#91435C2214yescomplemented
49Dic5×D12C2214yescomplemented
50#91406C2218yescomplemented
51#91405C2218yescomplemented
52C4×#1200C2212yescomplemented
53#91400C2218yescomplemented
54D3×#683C2218yescomplemented
55#91398C2218yescomplemented
56C4×D3×Dic5C2218yescomplemented
57#91386C2212yescomplemented
58#91347C2212yescomplemented
59#91331C2214yescomplemented
60Dic3×Dic10C2214yescomplemented
61#85872—51nomaximal, Hall
62C22×#711—31no—
63C5×#518—31no—
64#66132—31no—
65#65880—34no—
66#65880—34no—
67C4×#711—34no—
68C4×#711—34no—
69D5×#117—31no—
70D5×#117—31no—
71#65850—31no—
72#65850D311yescharacteristic, complemented
73#65820—34no—
74C2×#4023—34no—
75C23×D15C2311yescharacteristic
76C23×C5×D3C2312yes—
77C22×C3×C4×C5C2311yescharacteristic
78C22×Dic15C2311yescharacteristic
79C2×C4×D15C2×C418yescomplemented
80C2×C4×D15C2314yes—
81C2×C4×D15C2311yescharacteristic
82C2×C4×D15C2311yescharacteristic
83C2×C4×D15C2311yescharacteristic
84C2×C4×D15C2311yescharacteristic
85C2×C5×D12C2×C418yescomplemented
86C2×C5×D12C2312yes—
87C2×C5×D12C2312yes—
88C2×C4×C5×D3C2318yes—
89C22×C3×Dic5C2312yes—
90C2×C3×Dic10C2×C418yescomplemented
91C2×C3×Dic10C2312yes—
92C2×C3×Dic10C2312yes—
93C2×#1203C2×C4116yescomplemented
94C2×#1203C2314yes—
95C2×#1203C2314yes—
96C2×#1200C2314yes—
97C2×D3×Dic5C2×C4116yescomplemented
98C2×D3×Dic5C2318yes—
99C2×D3×Dic5C2314yes—
100C2×D3×Dic5C2314yes—
101#6768C2×C4116yescomplemented
102#6768C2×C4116yescomplemented
103#6768C2×C4116yescomplemented
104#6768C2×C4116yescomplemented
105C3×C5×C4⋊C4C2312yes—
106C3×C5×C22⋊C4C2312yes—
107C3×C42×C5C2312yes—
108#6719C2312yes—
109#6714C2314yes—
110C4⋊Dic15C2312yes—
111#6712C2314yes—
112C4×Dic15C2314yes—
113C4×Dic15C2312yes—
114C5×#217C2312yes—
115C5×(C2×D3)⋊C4C2318yes—
116C5×C4⋊Dic3C2312yes—
117C4×C5×Dic3C2312yes—
118C3×C22⋊Dic5C2312yes—
119C3×C4⋊Dic5C2312yes—
120C3×#683C2318yes—
121C3×C4×Dic5C2318yes—
122C3×C4×Dic5C2312yes—
123#6669C2314yes—
124#6668C2318yes—
125#6667C2314yes—
126(C2×D3)⋊Dic5C2318yes—
127Dic3×Dic5C2314yes—
128Dic3×Dic5C2318yes—
129C22×#239—51no—
130C3×#519—51no—
131#5812—51no—
132#5574—54no—
133#5574—54no—
134C4×#239—54no—
135C4×#239—54no—
136#5521—51no—
137#5521—54no—
138#5521D511yescharacteristic, complemented
139D3×#117—51no—
140D3×#117—51no—
141D3×#117—54no—
142C22×C5×D4—31no—
143C22×C22⋊D5—32no—
144C23×Dic5—32no—
145C2×#711—316no—
146C2×#711—32no—
147C2×#711—32no—
148C2×#711—32no—
149C2×#711—32no—
150C22×C4×D5—31no—
151C22×Dic10C2×D311yescharacteristic
152C4×C5×D4—34no—
153C4×C5×D4—34no—
154C5×#117—31no—
155C5×#117C2×D311yescharacteristic
156C2×C5×C22⋊C4—34no—
157C2×C22⋊Dic5—34no—
158D4×Dic5—34no—
159D4×Dic5—34no—
160C4×C22⋊D5—38no—
161C4×C22⋊D5—38no—
162#4072—31no—
163#4072C2×D311yescharacteristic
164C2×#683—38no—
165C2×C4×Dic5—38no—
166#4038—32no—
167#4038—32no—
168D5×C4⋊C4—32no—
169D5×C4⋊C4—32no—
170#4033—34no—
171#4033C2×D314yescomplemented
172#4027—38no—
173#4027—38no—
174D5×C22⋊C4—32no—
175D5×C22⋊C4—32no—
176#4023—34no—
177#4023—32no—
178#4023—32no—
179#4023—38no—
180#4023—38no—
181#4023C2×D314yes—
182#4018—32no—
183#4018—32no—
184C42×D5—32no—
185C42×D5—32no—
186C4×Dic10—34no—
187C4×Dic10C2×D314yescomplemented
188#3428—151noSylow
189C23×C3×C5C2411yescharacteristic
190C22×D15—42no—
191C22×D15C22×C414yes—
192C22×D15C2411yescharacteristic
193C22×D15C2411yescharacteristic
194C22×C5×D3—44no—
195C22×C5×D3C22×C418yes—
196C22×C5×D3C2414yes—
197C2×C3×C4×C5C22×C414yes—
198C2×C3×C4×C5C2414yes—
199C2×C3×C4×C5C2411yescharacteristic
200C2×C3×C4×C5C2411yescharacteristic
201C2×Dic15C22×C414yes—
202C2×Dic15C2414yes—
203C2×Dic15C2411yescharacteristic
204C2×Dic15C2411yescharacteristic
205C4×D15—44no—
206C4×D15C22×C414yes—
207C4×D15C22×C414yes—
208C4×D15C22×C414yes—
209C4×D15C22×C414yes—
210C2×C5×Dic3C2414yes—
211C5×D12C22×C418yes—
212C5×D12C22×C418yes—
213C4×C5×D3—48no—
214C2×C3×Dic5C22×C418yes—
215C2×C3×Dic5C2414yes—
216C2×C3×Dic5C2414yes—
217C3×Dic10C22×C418yes—
218C3×Dic10C22×C418yes—
219#1203C22×C4116yes—
220#1203C22×C4116yes—
221#1200—44no—
222D3×Dic5—48no—
223D3×Dic5C22×C4116yes—
224D3×Dic5C22×C4116yes—
225C22×C3×Q8—51no—
226C2×#239—516no—
227C2×#239—52no—
228C2×#239—52no—
229C2×#239—52no—
230C2×#239—52no—
231C22×D12—52no—
232C22×D12C2×D511yescharacteristic
233C22×C4×D3—52no—
234C22×C4×D3—51no—
235C3×C4×Q8—54no—
236C3×C4×Q8—54no—
237C3×#117—51no—
238C3×#117—54no—
239C3×#117C2×D511yescharacteristic
240Q8×Dic3—54no—
241Q8×Dic3—54no—
242#926—51no—
243#926—54no—
244#926C2×D511yescharacteristic
245#893—54no—
246#893—58no—
247#893—58no—
248#893C2×D514yescomplemented
249#892—52no—
250#892—58no—
251#892—52no—
252D3×C4⋊C4—58no—
253D3×C4⋊C4—52no—
254D3×C4⋊C4—52no—
255D3×C22⋊C4—54no—
256D3×C22⋊C4—52no—
257D3×C22⋊C4—52no—
258D3×C22⋊C4C2×D514yes—
259#877—52no—
260#877—52no—
261C4×D12—54no—
262C4×D12—58no—
263C4×D12—58no—
264C4×D12C2×D514yescomplemented
265#872—52no—
266#872—58no—
267#872—52no—
268C42×D3—58no—
269C42×D3—52no—
270C42×D3—52no—
271C24×C5—32no—
272C23×D5—31no—
273C2×C5×D4—38no—
274C2×C5×D4—32no—
275C2×C5×D4—32no—
276C22×C4×C5—38no—
277C22×C4×C5C22×D311yescharacteristic
278C2×C22⋊D5—316no—
279C2×C22⋊D5—34no—
280C2×C22⋊D5—34no—
281C22×Dic5—31no—
282C22×Dic5—316no—
283C22×Dic5—34no—
284C22×Dic5—34no—
285C22×Dic5—38no—
286C22×Dic5C22×D312yes—
287#711—316no—
288#711—316no—
289#711—316no—
290#711—316no—
291C2×C4×D5—38no—
292C2×C4×D5—31no—
293C2×C4×D5—31no—
294C2×C4×D5—31no—
295C2×C4×D5—31no—
296C2×C4×D5—34no—
297C2×C4×D5—34no—
298C2×Dic10C4×D318yescomplemented
299C2×Dic10C22×D312yes—
300C2×Dic10C22×D312yes—
301C5×C4⋊C4—32no—
302C5×C4⋊C4C22×D312yes—
303C5×C22⋊C4—32no—
304C5×C22⋊C4—38no—
305C5×C22⋊C4C22×D312yes—
306C42×C5—32no—
307C42×C5C22×D312yes—
308C22⋊Dic5—32no—
309C22⋊Dic5—38no—
310C22⋊Dic5C22×D312yes—
311#685—34no—
312#685—34no—
313C4⋊Dic5—32no—
314C4⋊Dic5C22×D312yes—
315#683—34no—
316#683—38no—
317#683—34no—
318#683C22×D318yes—
319C4×Dic5—32no—
320C4×Dic5—34no—
321C4×Dic5—38no—
322C4×Dic5—34no—
323C4×Dic5C22×D318yes—
324C4×Dic5C22×D312yes—
325C22×#41—151no—
326#520—154no—
327#520—154no—
328#519—51no—
329#519—151no—
330#518—31no—
331#518—154no—
332#518—151no—
333C4×#41—154no—
334C4×#41—154no—
335C2×#117—154no—
336C2×#117—151no—
337C2×#117—151no—
338C22×C3×C5—22no—
339C22×C3×C5C23×C412yes—
340C22×C3×C5C2511yescharacteristic
341C2×D15—22no—
342C2×D15—22no—
343C2×D15—44no—
344C2×D15C23×C412yes—
345C2×D15C23×C412yes—
346C2×C5×D3—28no—
347C2×C5×D3—48no—
348C2×C5×D3C23×C418yes—
349C3×C4×C5—24no—
350C3×C4×C5C23×C412yes—
351C3×C4×C5C23×C412yes—
352Dic15—24no—
353Dic15C23×C412yes—
354Dic15C23×C412yes—
355C3×Dic5—24no—
356C3×Dic5C23×C418yes—
357C5×Dic3—24no—
358C23×D3—51no—
359C23×D3C22×D512yes—
360C2×C3×Q8—58no—
361C2×C3×Q8—52no—
362C2×C3×Q8—52no—
363C22×C3×C4—52no—
364C22×C3×C4C22×D511yescharacteristic
365C22×Dic3—51no—
366#239—516no—
367#239—516no—
368#239—516no—
369#239—516no—
370C2×D12—516no—
371C2×D12—54no—
372C2×D12—54no—
373C2×D12C4×D518yescomplemented
374C2×D12C22×D512yes—
375C2×D12C22×D512yes—
376C2×C4×D3—516no—
377C2×C4×D3—54no—
378C2×C4×D3—54no—
379C2×C4×D3—58no—
380C2×C4×D3—51no—
381C2×C4×D3—51no—
382C2×C4×D3—51no—
383C2×C4×D3—51no—
384C2×C4×D3—58no—
385C2×C4×D3—54no—
386C2×C4×D3—54no—
387C2×C4×D3C22×D518yes—
388C3×C4⋊C4—58no—
389C3×C4⋊C4—52no—
390C3×C4⋊C4C22×D512yes—
391C3×C22⋊C4—52no—
392C3×C22⋊C4C22×D512yes—
393C3×C42—58no—
394C3×C42—52no—
395C3×C42C22×D512yes—
396#217—52no—
397#217C22×D512yes—
398(C2×D3)⋊C4—58no—
399(C2×D3)⋊C4—54no—
400(C2×D3)⋊C4—54no—
401(C2×D3)⋊C4C22×D518yes—
402C4⋊Dic3—52no—
403C4⋊Dic3—58no—
404C4⋊Dic3C22×D512yes—
405Dic3⋊C4—54no—
406Dic3⋊C4—54no—
407C4×Dic3—54no—
408C4×Dic3—52no—
409C4×Dic3—54no—
410C4×Dic3—58no—
411C4×Dic3C22×D512yes—
412C23×C5—34no—
413C23×C5—38no—
414C23×C5—124no—
415C23×C5C23×D311yescharacteristic
416C22×D5—31no—
417C22×D5—31no—
418C22×D5—34no—
419C22×D5—122no—
420C5×D4—38no—
421C5×D4—38no—
422C2×C4×C5—34no—
423C2×C4×C5—128no—
424C2×C4×C5C2×C4×D314yes—
425C2×C4×C5C23×D314yes—
426C2×C4×C5C23×D311yescharacteristic
427C2×C4×C5C23×D311yescharacteristic
428C22⋊D5—316no—
429C22⋊D5—316no—
430C2×Dic5—34no—
431C2×Dic5—31no—
432C2×Dic5—31no—
433C2×Dic5—316no—
434C2×Dic5—316no—
435C2×Dic5—34no—
436C2×Dic5—128no—
437C2×Dic5C2×C4×D318yes—
438C2×Dic5C23×D314yes—
439C2×Dic5C23×D314yes—
440C4×D5—34no—
441C4×D5—34no—
442C4×D5—34no—
443C4×D5—34no—
444C4×D5—124no—
445C4×D5—124no—
446Dic10C2×C4×D318yes—
447Dic10C2×C4×D318yes—
448C2×#41—152no—
449C2×#41—152no—
450C2×#41—152no—
451C2×#41—152no—
452C2×#41—1516no—
453C22×Q8—51no—
454C22×D4—31no—
455C22×D4—152no—
456C23×C4—152no—
457C23×C4—151no—
458C4×Q8—54no—
459C4×Q8—54no—
460C4×Q8—154no—
461C4×Q8—154no—
462C4×D4—34no—
463C4×D4—34no—
464C4×D4—158no—
465C4×D4—158no—
466C4×D4—154no—
467C4×D4—158no—
468C4×D4—158no—
469C4×D4—154no—
470#117—31no—
471#117—51no—
472#117—54no—
473#117—152no—
474#117—158no—
475#117—152no—
476#117—158no—
477#117—154no—
478#117—152no—
479#117—151no—
480#117—152no—
481#117—152no—
482#117—152no—
483#117D3×D511yescharacteristic
484C2×C4⋊C4—152no—
485C2×C4⋊C4—158no—
486C2×C4⋊C4—152no—
487C2×C22⋊C4—34no—
488C2×C22⋊C4—152no—
489C2×C22⋊C4—154no—
490C2×C22⋊C4—152no—
491C2×C42—152no—
492C2×C42—158no—
493C2×C42—152no—
494C2×C3×C5—22no—
495C2×C3×C5C24×C411yescharacteristic
496C2×C3×C5#58512yes—
497D15—22no—
498D15—22no—
499C5×D3—28no—
500C23×C3C23×D511yescharacteristic
501C22×D3—44no—
502C22×D3—51no—
503C22×D3—51no—
504C22×D3—54no—
505C22×D3—202no—
506C22×D3C2×C4×D518yes—
507C22×D3C23×D514yes—
508C3×Q8—58no—
509C3×Q8—58no—
510C2×C3×C4—58no—
511C2×C3×C4—54no—
512C2×C3×C4—54no—
513C2×C3×C4C2×C4×D514yes—
514C2×C3×C4C23×D514yes—
515C2×C3×C4C23×D511yescharacteristic
516C2×C3×C4C23×D511yescharacteristic
517C2×Dic3—54no—
518C2×Dic3—51no—
519C2×Dic3—51no—
520C2×Dic3—54no—
521C2×Dic3C23×D514yes—
522D12—516no—
523D12—516no—
524D12C2×C4×D518yes—
525D12C2×C4×D518yes—
526C4×D3—48no—
527C4×D3—516no—
528C4×D3—516no—
529C4×D3—54no—
530C4×D3—54no—
531C4×D3—54no—
532C4×D3—54no—
533C4×D3—204no—
534C4×D3—204no—
535C4×D3—208no—
536C22×C5—22no—
537C22×C5—38no—
538C22×C5—68no—
539C22×C5—128no—
540C22×C5C22×C4×D312yes—
541C22×C5C24×D311yescharacteristic
542C2×D5—32no—
543C2×D5—32no—
544C2×D5—62no—
545C2×D5—62no—
546C2×D5—124no—
547C4×C5—24no—
548C4×C5—64no—
549C4×C5C22×C4×D312yes—
550C4×C5C22×C4×D312yes—
551Dic5—24no—
552Dic5—32no—
553Dic5—32no—
554Dic5—64no—
555Dic5C22×C4×D318yes—
556C24—32no—
557C24—151no—
558#41—1516no—
559#41—1516no—
560#41—1516no—
561#41—1516no—
562C2×Q8—58no—
563C2×Q8—52no—
564C2×Q8—52no—
565C2×D4—38no—
566C2×D4—32no—
567C2×D4—32no—
568C2×D4—154no—
569C2×D4—154no—
570C2×D4—1516no—
571C22×C4—38no—
572C22×C4—52no—
573C22×C4—154no—
574C22×C4—154no—
575C22×C4—154no—
576C22×C4—1516no—
577C22×C4—158no—
578C22×C4—151no—
579C22×C4—158no—
580C22×C4—151no—
581C22×C4—151no—
582C22×C4—151no—
583C22×C4—151no—
584C22×C4—154no—
585C22×C4C2×D3×D511yescharacteristic
586C4⋊C4—32no—
587C4⋊C4—58no—
588C4⋊C4—52no—
589C4⋊C4—154no—
590C4⋊C4—158no—
591C4⋊C4—154no—
592C4⋊C4—152no—
593C4⋊C4C2×D3×D512yes—
594C22⋊C4—32no—
595C22⋊C4—38no—
596C22⋊C4—52no—
597C22⋊C4—154no—
598C22⋊C4—158no—
599C22⋊C4—152no—
600C22⋊C4—154no—
601C22⋊C4C2×D3×D512yes—
602C42—32no—
603C42—58no—
604C42—52no—
605C42—154no—
606C42—158no—
607C42—154no—
608C42—152no—
609C42C2×D3×D512yes—
610C3×C5#342811yescharacteristic, complemented, Hall
611C22×C3—22no—
612C22×C3C22×C4×D512yes—
613C22×C3C24×D511yescharacteristic
614C2×D3—28no—
615C2×D3—48no—
616C2×D3—52no—
617C2×D3—52no—
618C2×D3—102no—
619C2×D3—102no—
620C2×D3—204no—
621C2×D3C22×C4×D518yes—
622C3×C4—24no—
623C3×C4—58no—
624C3×C4—104no—
625C3×C4C22×C4×D512yes—
626C3×C4C22×C4×D512yes—
627Dic3—24no—
628Dic3—52no—
629Dic3—52no—
630Dic3—104no—
631C2×C5—22no—
632C2×C5—68no—
633C2×C5C23×C4×D311yescharacteristic
634C2×C5#596812yes—
635D5—62no—
636D5—62no—
637C23—34no—
638C23—38no—
639C23—124no—
640C23—151no—
641C23—151no—
642C23—154no—
643C23—602no—
644C23C22×D3×D511yescharacteristic
645Q8—58no—
646Q8—58no—
647D4—38no—
648D4—38no—
649D4—1516no—
650D4—1516no—
651C2×C4—34no—
652C2×C4—58no—
653C2×C4—54no—
654C2×C4—54no—
655C2×C4—128no—
656C2×C4—1516no—
657C2×C4—1516no—
658C2×C4—154no—
659C2×C4—151no—
660C2×C4—151no—
661C2×C4—154no—
662C2×C4—154no—
663C2×C4—154no—
664C2×C4—154no—
665C2×C4—154no—
666C2×C4—604no—
667C2×C4—604no—
668C2×C4—608no—
669C2×C4C4×D3×D514yes—
670C2×C4C22×D3×D514yes—
671C2×C4C22×D3×D511yescharacteristic
672C2×C4C22×D3×D511yescharacteristic
673C2×C3—22no—
674C2×C3C23×C4×D511yescharacteristic
675C2×C3#6628512yes—
676D3—28no—
677D3—102no—
678D3—102no—
679C5#8587211yescharacteristic, complemented, Sylow
680C22—22no—
681C22—38no—
682C22—68no—
683C22—128no—
684C22—152no—
685C22—152no—
686C22—302no—
687C22—302no—
688C22—604no—
689C22C2×C4×D3×D512yes—
690C22C23×D3×D511yescharacteristic
691C4—24no—
692C4—58no—
693C4—64no—
694C4—104no—
695C4—152no—
696C4—152no—
697C4—304no—
698C4C2×C4×D3×D512yes—
699C4C2×C4×D3×D512yes—
700C3#1061775711yescharacteristic, complemented, Sylow
701C2—22no—
702C2—68no—
703C2—302no—
704C2—302no—
705C2C22×C4×D3×D511yescharacteristic
706C2#1175706412yes—
subgroupG/H
center, FrattiniC22C23×D3×D5
commutatorC2×C3×C5C24×C4
FittingC3×C5×#117C22
socle, cosocleC22×C3×C5C25
prime radicalC22×#6768C2
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. D15×#117C2semidirect
3. C5×#5521C2semidirect
4. C3×#65850C2semidirect
5. #11754503C2semidirect
6. #11754461C2semidirect
7. #11754188C2semidirect
8. #11753407C2semidirect
9. #11753406C2semidirect
10. #11753067C2semidirect
11. D3×#4023C2semidirect
12. #11752525C2semidirect
13. C4×#6768C2semidirect
20. C2×#6768C4semidirect
27. #91781C22semidirect
28. C4⋊C4×D15C22semidirect
31. #91761C22semidirect
32. C42×D15C22semidirect
34. C5×#893C22semidirect
36. C4×C5×D12C22semidirect
38. C3×#4033C22semidirect
40. C3×C4×Dic10C22semidirect
45. #91446C22semidirect
46. C4×#1203C22semidirect
47. #91437C22semidirect
48. #91435C22semidirect
49. Dic5×D12C22semidirect
50. #91406C22semidirect
51. #91405C22semidirect
52. C4×#1200C22semidirect
53. #91400C22semidirect
54. D3×#683C22semidirect
55. #91398C22semidirect
56. C4×D3×Dic5C22semidirect
57. #91386C22semidirect
58. #91347C22semidirect
59. #91331C22semidirect
60. Dic3×Dic10C22semidirect
72. #65850D3semidirect
79. C2×C4×D15C2×C4semidirect
85. C2×C5×D12C2×C4semidirect
90. C2×C3×Dic10C2×C4semidirect
93. C2×#1203C2×C4semidirect
97. C2×D3×Dic5C2×C4semidirect
101. #6768C2×C4semidirect
102. #6768C2×C4semidirect
103. #6768C2×C4semidirect
104. #6768C2×C4semidirect
138. #5521D5semidirect
171. #4033C2×D3semidirect
187. C4×Dic10C2×D3semidirect
248. #893C2×D5semidirect
264. C4×D12C2×D5semidirect
298. C2×Dic10C4×D3semidirect
373. C2×D12C4×D5semidirect
610. C3×C5#3428semidirect
679. C5#85872semidirect
700. C3#10617757semidirect

Maximal subgroups

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

subgroupindex
C22×#67682
D15×#1172
C5×#55212
C3×#658502
#117545032
#117544612
#117541882
#117534072
#117534062
#117530672
D3×#40232
#117525252
C4×#67682
#106177573
#858725