Finite Group Databasebeta

← #14479153

Subgroups — #14479153

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×#6769C211yesmaximal, characteristic
2#11756280C211yesmaximal, characteristic, complemented
3C5×D3×#117C211yesmaximal, characteristic, complemented
4C3×#65850C211yesmaximal, characteristic, complemented
5#11754515C211yesmaximal, characteristic, complemented
6D3×#4072C211yesmaximal, characteristic, complemented
7#11754188C211yesmaximal, characteristic, complemented
8#11753408C214yesmaximal, complemented
9#11753337C214yesmaximal, complemented
10#11753067C214yesmaximal, complemented
11#11752825C214yesmaximal, complemented
12#11752527C214yesmaximal, complemented
13C4×#6769C214yesmaximal, complemented
14#10617632—31nomaximal, Hall
15C22×D60C2211yescharacteristic
16C22×C4×C5×D3C2211yescharacteristic
17C22×C3×Dic10C2211yescharacteristic
18C22×#1203C2212yes—
19C22×#1200C2212yes—
20C2×#6769C4116yescomplemented
21C2×#6769C2212yes—
22C2×#6769C2212yes—
23C2×#6769C2212yes—
24C2×#6769C2212yes—
25C3×C5×#117C2211yescharacteristic
26#91815C2211yescharacteristic
27#91782C2214yescomplemented
28C22⋊C4×D15C2214yes—
29C4×D60C2214yescomplemented
30C5×#926C2211yescharacteristic
31C5×#892C2212yescomplemented
32C5×D3×C4⋊C4C2212yescomplemented
33C5×D3×C22⋊C4C2212yes—
34C5×#877C2212yes—
35C5×#872C2212yescomplemented
36C42×C5×D3C2212yescomplemented
37C3×#4072C2211yescharacteristic
38C3×#4033C2214yescomplemented
39C3×#4023C2214yes—
40C3×C4×Dic10C2214yescomplemented
41#91561C2214yes—
42D3×C22⋊Dic5C2212yes—
43#91529C2212yes—
44#91528C2214yes—
45#91446C2218yescomplemented
46C4×#1203C2218yescomplemented
47#91428C2214yescomplemented
48D3×C4⋊Dic5C2212yescomplemented
49#91418C2214yescomplemented
50#91406C2218yescomplemented
51#91405C2218yescomplemented
52#91404C2218yescomplemented
53#91403C2218yescomplemented
54#91402C2218yescomplemented
55C4×#1200C2218yescomplemented
56C4×D3×Dic5C2212yescomplemented
57#91371C2212yescomplemented
58#91338C2212yescomplemented
59#91331C2214yescomplemented
60Dic3×Dic10C2214yescomplemented
61#85872—51nomaximal, Hall
62C22×#709—31no—
63C2×C5×#117—31no—
64C2×#4072—31no—
65#65857—34no—
66#65856—34no—
67#65855—31no—
68#65855—31no—
69D5×#117—34no—
70#65850—31no—
71#65850D311yescharacteristic, complemented
72#65838—34no—
73#65820—34no—
74C4×#709—34no—
75C23×D15C2312yes—
76C23×C5×D3C2311yescharacteristic
77C22×C3×C4×C5C2311yescharacteristic
78C2×D60C2×C418yescomplemented
79C2×D60C2312yes—
80C2×D60C2312yes—
81C2×C4×D15C2318yes—
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
89C22×C3×Dic5C2312yes—
90C2×C3×Dic10C2×C418yescomplemented
91C2×C3×Dic10C2312yes—
92C2×C3×Dic10C2312yes—
93C2×#1203C2×C4116yescomplemented
94C2×#1203C2314yes—
95C2×#1203C2314yes—
96C2×#1200C2×C4116yescomplemented
97C2×#1200C2318yes—
98C2×#1200C2314yes—
99C2×#1200C2314yes—
100C2×D3×Dic5C2314yes—
101#6769C2×C4116yescomplemented
102#6769C2×C4116yescomplemented
103#6769C2×C4116yescomplemented
104#6769C2×C4116yescomplemented
105C3×C5×C4⋊C4C2312yes—
106C3×C5×C22⋊C4C2312yes—
107C3×C42×C5C2312yes—
108#6719C2312yes—
109#6714C2318yes—
110C4⋊Dic15C2312yes—
111C4×Dic15C2312yes—
112C5×#217C2312yes—
113C5×(C2×D3)⋊C4C2314yes—
114C5×C4⋊Dic3C2312yes—
115C5×Dic3⋊C4C2314yes—
116C4×C5×Dic3C2314yes—
117C4×C5×Dic3C2312yes—
118C3×C22⋊Dic5C2312yes—
119C3×C4⋊Dic5C2312yes—
120C3×#683C2318yes—
121C3×C4×Dic5C2312yes—
122C3×C4×Dic5C2318yes—
123Dic3⋊Dic5C2314yes—
124#6668C2318yes—
125#6667C2318yes—
126(C2×D3)⋊Dic5C2314yes—
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—51no—
138#5521—54no—
139D3×#117—51no—
140D3×#117—54no—
141D3×#117D511yescharacteristic, complemented
142C23×C4×C5—31no—
143C22×C22⋊D5—32no—
144C2×#709—316no—
145C2×#709—32no—
146C2×#709—32no—
147C2×#709—32no—
148C2×#709—32no—
149C22×D20—31no—
150C22×C4×D5—32no—
151C22×Dic10C2×D311yescharacteristic
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#4039—34no—
172#4038—38no—
173D5×C4⋊C4—38no—
174#4033—34no—
175#4033C2×D314yescomplemented
176#4027—38no—
177#4027—38no—
178D5×C22⋊C4—34no—
179D5×C22⋊C4—34no—
180#4023—34no—
181#4023C2×D314yes—
182C4×D20—34no—
183C4×D20—34no—
184#4018—38no—
185C42×D5—38no—
186C4×Dic10—34no—
187C4×Dic10C2×D314yescomplemented
188#3428—151noSylow
189C23×C3×C5C2411yescharacteristic
190C22×D15—44no—
191C22×D15C22×C418yes—
192C22×D15C2414yes—
193C22×C5×D3—42no—
194C22×C5×D3C22×C414yes—
195C22×C5×D3C2411yescharacteristic
196C22×C5×D3C2411yescharacteristic
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×C414yes—
206C2×C5×Dic3C2414yes—
207C2×C5×Dic3C2411yescharacteristic
208C2×C5×Dic3C2411yescharacteristic
209C4×C5×D3—44no—
210C4×C5×D3C22×C414yes—
211C4×C5×D3C22×C414yes—
212C4×C5×D3C22×C414yes—
213C4×C5×D3C22×C414yes—
214C2×C3×Dic5C22×C418yes—
215C2×C3×Dic5C2414yes—
216C2×C3×Dic5C2414yes—
217C3×Dic10C22×C418yes—
218C3×Dic10C22×C418yes—
219#1203C22×C4116yes—
220#1203C22×C4116yes—
221#1200—48no—
222#1200C22×C4116yes—
223#1200C22×C4116yes—
224D3×Dic5—44no—
225C22×C3×Q8—51no—
226C2×#239—516no—
227C2×#239—52no—
228C2×#239—52no—
229C2×#239—52no—
230C2×#239—52no—
231C22×D12—52no—
232C22×D12—51no—
233C22×C4×D3—52no—
234C22×C4×D3C2×D511yescharacteristic
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—58no—
246#893—54no—
247#893—58no—
248#893—54no—
249#892—52no—
250#892—58no—
251#892C2×D512yescomplemented
252D3×C4⋊C4—52no—
253D3×C4⋊C4—58no—
254D3×C4⋊C4C2×D512yescomplemented
255D3×C22⋊C4—52no—
256D3×C22⋊C4—54no—
257D3×C22⋊C4—54no—
258D3×C22⋊C4C2×D512yes—
259#877—52no—
260#877C2×D512yes—
261C4×D12—58no—
262C4×D12—54no—
263C4×D12—58no—
264C4×D12—54no—
265#872—52no—
266#872—58no—
267#872C2×D512yescomplemented
268C42×D3—52no—
269C42×D3—58no—
270C42×D3C2×D512yescomplemented
271C24×C5—31no—
272C23×D5—32no—
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—34no—
285C22×Dic5C22×D312yes—
286#709—316no—
287#709—316no—
288#709—316no—
289#709—316no—
290C2×D20—38no—
291C2×D20—32no—
292C2×D20—32no—
293C2×C4×D5—316no—
294C2×C4×D5—34no—
295C2×C4×D5—34no—
296C2×C4×D5—38no—
297C2×C4×D5—38no—
298C2×Dic10C4×D318yescomplemented
299C2×Dic10C22×D312yes—
300C2×Dic10C22×D312yes—
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#685—38no—
315C4⋊Dic5—32no—
316C4⋊Dic5—34no—
317C4⋊Dic5C22×D312yes—
318#683—38no—
319#683C22×D318yes—
320C4×Dic5—32no—
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—154no—
331#518—151no—
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×D15—28no—
342C2×D15—48no—
343C2×D15C23×C418yes—
344C2×C5×D3—22no—
345C2×C5×D3—22no—
346C2×C5×D3—44no—
347C2×C5×D3C23×C412yes—
348C2×C5×D3C23×C412yes—
349C3×C4×C5—24no—
350C3×C4×C5C23×C412yes—
351C3×C4×C5C23×C412yes—
352Dic15—24no—
353C3×Dic5—24no—
354C3×Dic5C23×C418yes—
355C5×Dic3—24no—
356C5×Dic3C23×C412yes—
357C5×Dic3C23×C412yes—
358C23×D3—52no—
359C23×D3C22×D511yescharacteristic
360C2×C3×Q8—58no—
361C2×C3×Q8—52no—
362C2×C3×Q8—52no—
363C22×C3×C4—52no—
364C22×C3×C4C22×D511yescharacteristic
365C22×Dic3C22×D511yescharacteristic
366#239—516no—
367#239—516no—
368#239—516no—
369#239—516no—
370C2×D12—516no—
371C2×D12—54no—
372C2×D12—54no—
373C2×D12—58no—
374C2×D12—52no—
375C2×D12—52no—
376C2×C4×D3—516no—
377C2×C4×D3—54no—
378C2×C4×D3—54no—
379C2×C4×D3—54no—
380C2×C4×D3—58no—
381C2×C4×D3—58no—
382C2×C4×D3C4×D518yescomplemented
383C2×C4×D3C22×D514yes—
384C2×C4×D3C22×D511yescharacteristic
385C2×C4×D3C22×D511yescharacteristic
386C2×C4×D3C22×D511yescharacteristic
387C2×C4×D3C22×D511yescharacteristic
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—54no—
399(C2×D3)⋊C4—58no—
400(C2×D3)⋊C4—58no—
401(C2×D3)⋊C4C22×D514yes—
402C4⋊Dic3—52no—
403C4⋊Dic3—58no—
404C4⋊Dic3C22×D512yes—
405Dic3⋊C4—54no—
406Dic3⋊C4C22×D514yes—
407C4×Dic3—52no—
408C4×Dic3—54no—
409C4×Dic3—58no—
410C4×Dic3C22×D514yes—
411C4×Dic3C22×D512yes—
412C23×C5—31no—
413C23×C5—31no—
414C23×C5—34no—
415C23×C5—122no—
416C23×C5C23×D311yescharacteristic
417C22×D5—34no—
418C22×D5—38no—
419C22×D5—124no—
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—34no—
436C2×Dic5—124no—
437C2×Dic5C2×C4×D318yes—
438C2×Dic5C23×D314yes—
439C2×Dic5C23×D314yes—
440D20—38no—
441D20—38no—
442C4×D5—316no—
443C4×D5—316no—
444C4×D5—128no—
445C4×D5—128no—
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—152no—
455C22×D4—151no—
456C23×C4—31no—
457C23×C4—152no—
458C4×Q8—54no—
459C4×Q8—54no—
460C4×Q8—154no—
461C4×Q8—154no—
462C4×D4—154no—
463C4×D4—158no—
464C4×D4—154no—
465C4×D4—158no—
466C4×D4—158no—
467C4×D4—158no—
468C4×D4—154no—
469C4×D4—154no—
470#117—31no—
471#117—32no—
472#117—32no—
473#117—32no—
474#117—51no—
475#117—54no—
476#117—158no—
477#117—158no—
478#117—152no—
479#117—154no—
480#117—152no—
481#117—152no—
482#117—151no—
483#117D3×D511yescharacteristic
484C2×C4⋊C4—32no—
485C2×C4⋊C4—158no—
486C2×C4⋊C4—152no—
487C2×C22⋊C4—32no—
488C2×C22⋊C4—154no—
489C2×C22⋊C4—152no—
490C2×C22⋊C4—154no—
491C2×C42—32no—
492C2×C42—158no—
493C2×C42—152no—
494C2×C3×C5—22no—
495C2×C3×C5C24×C411yescharacteristic
496C2×C3×C5#58512yes—
497D15—28no—
498C5×D3—22no—
499C5×D3—22no—
500C23×C3C23×D511yescharacteristic
501C22×D3—42no—
502C22×D3—54no—
503C22×D3—58no—
504C22×D3—204no—
505C22×D3C2×C4×D514yes—
506C22×D3C23×D511yescharacteristic
507C22×D3C23×D511yescharacteristic
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×Dic3C2×C4×D514yes—
519C2×Dic3C23×D514yes—
520C2×Dic3C23×D511yescharacteristic
521C2×Dic3C23×D511yescharacteristic
522D12—516no—
523D12—516no—
524D12—58no—
525D12—58no—
526C4×D3—44no—
527C4×D3—516no—
528C4×D3—516no—
529C4×D3—208no—
530C4×D3—208no—
531C4×D3—204no—
532C4×D3C2×C4×D514yes—
533C4×D3C2×C4×D514yes—
534C4×D3C2×C4×D514yes—
535C4×D3C2×C4×D514yes—
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—38no—
545C2×D5—68no—
546C2×D5—128no—
547C4×C5—24no—
548C4×C5—32no—
549C4×C5—32no—
550C4×C5—64no—
551C4×C5C22×C4×D312yes—
552C4×C5C22×C4×D312yes—
553Dic5—24no—
554Dic5—64no—
555Dic5C22×C4×D318yes—
556C24—31no—
557C24—152no—
558#41—1516no—
559#41—1516no—
560#41—1516no—
561#41—1516no—
562C2×Q8—58no—
563C2×Q8—52no—
564C2×Q8—52no—
565C2×D4—154no—
566C2×D4—154no—
567C2×D4—1516no—
568C2×D4—158no—
569C2×D4—152no—
570C2×D4—152no—
571C22×C4—31no—
572C22×C4—38no—
573C22×C4—31no—
574C22×C4—31no—
575C22×C4—31no—
576C22×C4—31no—
577C22×C4—34no—
578C22×C4—52no—
579C22×C4—154no—
580C22×C4—154no—
581C22×C4—1516no—
582C22×C4—158no—
583C22×C4—154no—
584C22×C4—158no—
585C22×C4C2×D3×D511yescharacteristic
586C4⋊C4—34no—
587C4⋊C4—32no—
588C4⋊C4—58no—
589C4⋊C4—52no—
590C4⋊C4—154no—
591C4⋊C4—158no—
592C4⋊C4—152no—
593C4⋊C4C2×D3×D512yes—
594C22⋊C4—32no—
595C22⋊C4—34no—
596C22⋊C4—52no—
597C22⋊C4—158no—
598C22⋊C4—154no—
599C22⋊C4—152no—
600C22⋊C4—158no—
601C22⋊C4C2×D3×D512yes—
602C42—34no—
603C42—32no—
604C42—58no—
605C42—52no—
606C42—154no—
607C42—158no—
608C42—152no—
609C42C2×D3×D512yes—
610C3×C5#342811yescharacteristic, complemented, Hall
611C22×C3—22no—
612C22×C3C22×C4×D512yes—
613C22×C3C24×D511yescharacteristic
614C2×D3—22no—
615C2×D3—22no—
616C2×D3—44no—
617C2×D3—58no—
618C2×D3—108no—
619C2×D3—208no—
620C2×D3C22×C4×D512yes—
621C2×D3C22×C4×D512yes—
622C3×C4—24no—
623C3×C4—58no—
624C3×C4—104no—
625C3×C4C22×C4×D512yes—
626C3×C4C22×C4×D512yes—
627Dic3—24no—
628Dic3—104no—
629Dic3C22×C4×D512yes—
630Dic3C22×C4×D512yes—
631C2×C5—22no—
632C2×C5—62no—
633C2×C5—62no—
634C2×C5C23×C4×D311yescharacteristic
635C2×C5#596812yes—
636D5—68no—
637C23—31no—
638C23—31no—
639C23—34no—
640C23—122no—
641C23—154no—
642C23—158no—
643C23—604no—
644C23C22×D3×D511yescharacteristic
645Q8—58no—
646Q8—58no—
647D4—1516no—
648D4—1516no—
649D4—158no—
650D4—158no—
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—58no—
660C2×C4—54no—
661C2×C4—54no—
662C2×C4—124no—
663C2×C4—1516no—
664C2×C4—1516no—
665C2×C4—154no—
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×C3C23×C4×D511yescharacteristic
675C2×C3#6628312yes—
676D3—22no—
677D3—22no—
678D3—108no—
679C5#8587211yescharacteristic, complemented, Sylow
680C22—22no—
681C22—32no—
682C22—32no—
683C22—62no—
684C22—62no—
685C22—124no—
686C22—158no—
687C22—308no—
688C22—608no—
689C22C2×C4×D3×D512yes—
690C22C23×D3×D511yescharacteristic
691C4—24no—
692C4—32no—
693C4—32no—
694C4—58no—
695C4—64no—
696C4—104no—
697C4—304no—
698C4C2×C4×D3×D512yes—
699C4C2×C4×D3×D512yes—
700C3#1061763211yescharacteristic, complemented, Sylow
701C2—22no—
702C2—62no—
703C2—62no—
704C2—308no—
705C2C22×C4×D3×D511yescharacteristic
706C2#1175706312yes—
subgroupG/H
center, FrattiniC22C23×D3×D5
commutatorC2×C3×C5C24×C4
FittingC3×C5×#117C22
socle, cosocleC22×C3×C5C25
prime radicalC22×#6769C2
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×D3×#117C2semidirect
4. C3×#65850C2semidirect
5. #11754515C2semidirect
6. D3×#4072C2semidirect
7. #11754188C2semidirect
8. #11753408C2semidirect
9. #11753337C2semidirect
10. #11753067C2semidirect
11. #11752825C2semidirect
12. #11752527C2semidirect
13. C4×#6769C2semidirect
20. C2×#6769C4semidirect
27. #91782C22semidirect
29. C4×D60C22semidirect
31. C5×#892C22semidirect
32. C5×D3×C4⋊C4C22semidirect
35. C5×#872C22semidirect
36. C42×C5×D3C22semidirect
38. C3×#4033C22semidirect
40. C3×C4×Dic10C22semidirect
45. #91446C22semidirect
46. C4×#1203C22semidirect
47. #91428C22semidirect
48. D3×C4⋊Dic5C22semidirect
49. #91418C22semidirect
50. #91406C22semidirect
51. #91405C22semidirect
52. #91404C22semidirect
53. #91403C22semidirect
54. #91402C22semidirect
55. C4×#1200C22semidirect
56. C4×D3×Dic5C22semidirect
57. #91371C22semidirect
58. #91338C22semidirect
59. #91331C22semidirect
60. Dic3×Dic10C22semidirect
71. #65850D3semidirect
78. C2×D60C2×C4semidirect
83. C2×C4×C5×D3C2×C4semidirect
90. C2×C3×Dic10C2×C4semidirect
93. C2×#1203C2×C4semidirect
96. C2×#1200C2×C4semidirect
101. #6769C2×C4semidirect
102. #6769C2×C4semidirect
103. #6769C2×C4semidirect
104. #6769C2×C4semidirect
141. D3×#117D5semidirect
175. #4033C2×D3semidirect
187. C4×Dic10C2×D3semidirect
251. #892C2×D5semidirect
254. D3×C4⋊C4C2×D5semidirect
267. #872C2×D5semidirect
270. C42×D3C2×D5semidirect
298. C2×Dic10C4×D3semidirect
382. C2×C4×D3C4×D5semidirect
610. C3×C5#3428semidirect
679. C5#85872semidirect
700. C3#10617632semidirect

Maximal subgroups

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

subgroupindex
C22×#67692
#117562802
C5×D3×#1172
C3×#658502
#117545152
D3×#40722
#117541882
#117534082
#117533372
#117530672
#117528252
#117525272
C4×#67692
#106176323
#858725