Finite Group Databasebeta

← #14319574

Subgroups — #14319574

Order 1920.

1848 conjugacy classes of subgroups.

The subgroup lattice has 612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#91782C211yesmaximal, characteristic
2C2×#91428C211yesmaximal, characteristic
3C2×#91418C211yesmaximal, characteristic
4C2×C4×#1200C212yesmaximal, complemented
5C5×Dic3×C4⋊C4C211yesmaximal, characteristic, complemented
6C3×C4⋊C4×Dic5C211yesmaximal, characteristic, complemented
7#11748881C212yesmaximal, complemented
8#11748875C212yesmaximal, complemented
9#11748699C211yesmaximal, characteristic, complemented
10#11748670C212yesmaximal, complemented
11C4×Dic3×Dic5C211yesmaximal, characteristic, complemented
12C4×#4039—31nomaximal, Hall
13C22×D60C2211yescharacteristic
14C22×C4×D15C2212yes—
15C22×#1200C2212yes—
16C22×#1200C2212yes—
17C2×C3×C5×C4⋊C4C2211yescharacteristic
18C2×#6714C2212yes—
19C2×C4×Dic15C2211yescharacteristic
20#91782C418yescomplemented
21C2×C5×C4⋊Dic3C2211yescharacteristic
22C2×C4×C5×Dic3C2212yes—
23C2×C4×C5×Dic3C2211yescharacteristic
24C2×C3×C4⋊Dic5C2211yescharacteristic
25C2×C3×C4×Dic5C2212yes—
26C2×C3×C4×Dic5C2211yescharacteristic
27C2×#6667C2212yes—
28C2×#6667C2212yes—
29C2×Dic3×Dic5C2211yescharacteristic
30C2×Dic3×Dic5C2211yescharacteristic
31C2×Dic3×Dic5C2211yescharacteristic
32C2×Dic3×Dic5C2212yes—
33C2×Dic3×Dic5C2211yescharacteristic
34#91428C418yescomplemented
35#91418C418yescomplemented
36C4×#1200—28no—
37C5×C3⋊#95C2212yes—
38C3×#3963C2212yes—
39#90994C2212yes—
40C4×#893—51nomaximal, Hall
41C2×#4039—31no—
42C2×#4039—31no—
43C2×C4×D20—31no—
44C2×C42×D5—32no—
45C4×C5×C4⋊C4—31no—
46C4⋊C4×Dic5—31no—
47C4⋊C4×Dic5D311yescharacteristic, complemented
48C4×#685—32no—
49C42×Dic5—31no—
50#64955—32no—
51#64955—32no—
52C23×D15C2312yes—
53C22×C3×C4×C5C2312yes—
54C22×C3×C4×C5C2311yescharacteristic
55C22×Dic15C2311yescharacteristic
56C22×Dic15C2311yescharacteristic
57C2×D60C2×C414yes—
58C2×D60C2×C414yes—
59C2×D60C2×C414yes—
60C2×C4×D15—24no—
61C2×C4×D15—24no—
62C2×C4×D15C2×C418yescomplemented
63C22×C5×Dic3C2312yes—
64C22×C5×Dic3C2311yescharacteristic
65C22×C5×Dic3C2311yescharacteristic
66C22×C3×Dic5C2312yes—
67C22×C3×Dic5C2311yescharacteristic
68C22×C3×Dic5C2311yescharacteristic
69C2×#1200—24no—
70C2×#1200—24no—
71C2×#1200—24no—
72C2×#1200—24no—
73C2×#1200C2×C418yescomplemented
74C2×#1200C2×C418yescomplemented
75C3×C5×C4⋊C4C2×C414yescomplemented
76#6714C2×C418yescomplemented
77C4×Dic15C2×C414yescomplemented
78C5×C4⋊Dic3C2×C414yescomplemented
79C4×C5×Dic3—24no—
80C4×C5×Dic3C2×C414yescomplemented
81C3×C4⋊Dic5C2×C414yescomplemented
82C3×C4×Dic5—24no—
83C3×C4×Dic5C2×C414yescomplemented
84#6667C2×C418yescomplemented
85#6667C2×C418yescomplemented
86Dic3×Dic5—24no—
87Dic3×Dic5—22no—
88Dic3×Dic5—22no—
89Dic3×Dic5—22no—
90Dic3×Dic5D414yescomplemented
91C2×#893—51no—
92C2×#893—51no—
93C2×C4×D12—51no—
94C2×C42×D3—52no—
95C3×C4×C4⋊C4—51no—
96Dic3×C4⋊C4—51no—
97Dic3×C4⋊C4D511yescharacteristic, complemented
98C4×(C2×D3)⋊C4—52no—
99C42×Dic3—51no—
100#4666—52no—
101#4666—52no—
102C22×D20—31no—
103C22×C4×D5—32no—
104C22×C4×D5—32no—
105C22×C4×D5—32no—
106C2×C5×C4⋊C4—31no—
107C2×C5×C4⋊C4C2×D311yescharacteristic
108C2×C42×C5—31no—
109C2×C42×C5—32no—
110C2×#685—32no—
111C2×#685—32no—
112C2×#685—32no—
113C2×C4⋊Dic5C2×D311yescharacteristic
114C2×C4×Dic5—31no—
115C2×C4×Dic5—31no—
116C2×C4×Dic5—32no—
117C2×C4×Dic5—31no—
118C2×C4×Dic5—31no—
119C2×C4×Dic5—31no—
120C2×C4×Dic5C2×D312yes—
121C2×C4×Dic5C2×D311yescharacteristic
122#4039—38no—
123#4039—38no—
124C4×D20—38no—
125C42×D5—68no—
126C5×#95—32no—
127#3963—32no—
128#3963C2×D312yes—
129C42×D4—151noSylow
130C23×C3×C5C2411yescharacteristic
131C22×D15—22no—
132C22×D15—22no—
133C22×D15—22no—
134C22×D15—22no—
135C22×D15C22×C414yes—
136C22×D15C22×C414yes—
137C22×D15C22×C414yes—
138C2×C3×C4×C5—22no—
139C2×C3×C4×C5—22no—
140C2×C3×C4×C5C22×C414yes—
141C2×C3×C4×C5C22×C412yes—
142C2×C3×C4×C5C22×C412yes—
143C2×C3×C4×C5C22×C412yes—
144C2×Dic15—21no—
145C2×Dic15—21no—
146C2×Dic15C22×C412yes—
147C2×Dic15C22×C412yes—
148C2×Dic15C2×D412yes—
149C2×Dic15#4112yes—
150D60C42116yescomplemented
151C4×D15—216no—
152C2×C5×Dic3—22no—
153C2×C5×Dic3—21no—
154C2×C5×Dic3—21no—
155C2×C5×Dic3—22no—
156C2×C5×Dic3C22×C412yes—
157C2×C5×Dic3C22×C414yes—
158C2×C5×Dic3C22×C412yes—
159C2×C5×Dic3C2×D412yes—
160C2×C5×Dic3#4112yes—
161C2×C3×Dic5—22no—
162C2×C3×Dic5—21no—
163C2×C3×Dic5—21no—
164C2×C3×Dic5—22no—
165C2×C3×Dic5C22×C412yes—
166C2×C3×Dic5C22×C414yes—
167C2×C3×Dic5C22×C412yes—
168C2×C3×Dic5C2×D412yes—
169C2×C3×Dic5#4112yes—
170#1200—216no—
171#1200—216no—
172C22×D12—51no—
173C22×C4×D3—52no—
174C22×C4×D3—52no—
175C22×C4×D3—52no—
176C2×C3×C4⋊C4—51no—
177C2×C3×C4⋊C4C2×D511yescharacteristic
178C2×C3×C42—51no—
179C2×C3×C42—52no—
180C2×(C2×D3)⋊C4—52no—
181C2×(C2×D3)⋊C4—52no—
182C2×(C2×D3)⋊C4—52no—
183C2×C4⋊Dic3C2×D511yescharacteristic
184C2×C4×Dic3—51no—
185C2×C4×Dic3—51no—
186C2×C4×Dic3—51no—
187C2×C4×Dic3—51no—
188C2×C4×Dic3—52no—
189C2×C4×Dic3—51no—
190C2×C4×Dic3C2×D512yes—
191C2×C4×Dic3C2×D511yescharacteristic
192#893—58no—
193#893—58no—
194C4×D12—58no—
195C42×D3—108no—
196C3×#95—52no—
197C3⋊#95—52no—
198C3⋊#95C2×D512yes—
199C23×D5—32no—
200C22×C4×C5—31no—
201C22×C4×C5—32no—
202C22×C4×C5—31no—
203C22×C4×C5C22×D312yes—
204C22×C4×C5C22×D311yescharacteristic
205C22×Dic5—31no—
206C22×Dic5—31no—
207C22×Dic5C22×D312yes—
208C22×Dic5C22×D311yescharacteristic
209C22×Dic5C22×D311yescharacteristic
210C2×D20—34no—
211C2×D20—34no—
212C2×D20—34no—
213C2×C4×D5—38no—
214C2×C4×D5—38no—
215C2×C4×D5—38no—
216C2×C4×D5—64no—
217C2×C4×D5—64no—
218C2×C4×D5—64no—
219C2×C4×D5—64no—
220C2×C4×D5—64no—
221C2×C4×D5—64no—
222C5×C4⋊C4—34no—
223C5×C4⋊C4C4×D314yescomplemented
224C42×C5—34no—
225C42×C5—64no—
226#685—38no—
227#685—38no—
228#685—38no—
229C4⋊Dic5C4×D314yescomplemented
230C4×Dic5—24no—
231C4×Dic5—34no—
232C4×Dic5—34no—
233C4×Dic5—64no—
234C4×Dic5—62no—
235C4×Dic5—62no—
236C4×Dic5—62no—
237C4×Dic5C4×D314yescomplemented
238C2×C4×D4—151no—
239C2×C4×D4—151no—
240C2×C4×D4—151no—
241C22×C42—152no—
242C4×C4⋊C4—31no—
243C4×C4⋊C4—51no—
244C4×C4⋊C4—151no—
245C4×C22⋊C4—152no—
246C4×C22⋊C4—152no—
247C4×C22⋊C4—152no—
248C43—151no—
249C22×C3×C5C23×C411yescharacteristic
250C22×C3×C5C23×C411yescharacteristic
251C22×C3×C5C23×C411yescharacteristic
252C22×C3×C5C22×D411yescharacteristic
253C22×C3×C5C2×#4111yescharacteristic
254C22×C3×C5C2×#4111yescharacteristic
255C22×C3×C5C2×#4111yescharacteristic
256C2×D15—24no—
257C2×D15—24no—
258C2×D15—24no—
259C2×D15—24no—
260C2×D15—24no—
261C2×D15—24no—
262C2×D15C2×C4218yescomplemented
263C3×C4×C5—24no—
264C3×C4×C5C2×C4214yescomplemented
265Dic15—22no—
266Dic15C4×D414yescomplemented
267C3×Dic5—24no—
268C3×Dic5—22no—
269C3×Dic5C4×D414yescomplemented
270C5×Dic3—24no—
271C5×Dic3—22no—
272C5×Dic3C4×D414yescomplemented
273C23×D3—52no—
274C22×C3×C4—51no—
275C22×C3×C4—52no—
276C22×C3×C4—51no—
277C22×C3×C4C22×D512yes—
278C22×C3×C4C22×D511yescharacteristic
279C22×Dic3—51no—
280C22×Dic3—51no—
281C22×Dic3C22×D512yes—
282C22×Dic3C22×D511yescharacteristic
283C22×Dic3C22×D511yescharacteristic
284C2×D12—54no—
285C2×D12—54no—
286C2×D12—54no—
287C2×C4×D3—58no—
288C2×C4×D3—58no—
289C2×C4×D3—58no—
290C2×C4×D3—104no—
291C2×C4×D3—104no—
292C2×C4×D3—104no—
293C2×C4×D3—104no—
294C2×C4×D3—104no—
295C2×C4×D3—104no—
296C3×C4⋊C4—54no—
297C3×C4⋊C4C4×D514yescomplemented
298C3×C42—54no—
299C3×C42—104no—
300(C2×D3)⋊C4—58no—
301(C2×D3)⋊C4—58no—
302(C2×D3)⋊C4—58no—
303C4⋊Dic3C4×D514yescomplemented
304C4×Dic3—24no—
305C4×Dic3—54no—
306C4×Dic3—54no—
307C4×Dic3—104no—
308C4×Dic3—102no—
309C4×Dic3—102no—
310C4×Dic3—102no—
311C4×Dic3C4×D514yescomplemented
312C23×C5C23×D311yescharacteristic
313C22×D5—34no—
314C22×D5—34no—
315C22×D5—34no—
316C22×D5—62no—
317C22×D5—62no—
318C22×D5—62no—
319C22×D5—62no—
320C2×C4×C5—22no—
321C2×C4×C5—22no—
322C2×C4×C5—32no—
323C2×C4×C5—32no—
324C2×C4×C5—32no—
325C2×C4×C5—32no—
326C2×C4×C5—34no—
327C2×C4×C5—62no—
328C2×C4×C5—61no—
329C2×C4×C5—62no—
330C2×C4×C5—61no—
331C2×C4×C5C2×C4×D312yes—
332C2×C4×C5C2×C4×D312yes—
333C2×C4×C5C2×C4×D314yes—
334C2×C4×C5C2×C4×D312yes—
335C2×Dic5—22no—
336C2×Dic5—21no—
337C2×Dic5—21no—
338C2×Dic5—22no—
339C2×Dic5—32no—
340C2×Dic5—32no—
341C2×Dic5—32no—
342C2×Dic5—32no—
343C2×Dic5—61no—
344C2×Dic5—61no—
345C2×Dic5C2×C4×D312yes—
346C2×Dic5C2×C4×D314yes—
347C2×Dic5C2×C4×D312yes—
348C2×Dic5D3×D412yes—
349C2×Dic5#23912yes—
350D20—316no—
351C4×D5—616no—
352C4×D5—616no—
353C4×D5—616no—
354C22×D4—151no—
355C23×C4—152no—
356C23×C4—152no—
357C23×C4—152no—
358C4×D4—158no—
359C4×D4—158no—
360C4×D4—158no—
361C2×C4⋊C4—31no—
362C2×C4⋊C4—51no—
363C2×C4⋊C4D3×D511yescharacteristic
364C2×C22⋊C4—152no—
365C2×C22⋊C4—152no—
366C2×C22⋊C4—152no—
367C2×C42—31no—
368C2×C42—32no—
369C2×C42—51no—
370C2×C42—52no—
371C2×C42—151no—
372C2×C42—151no—
373C2×C42—151no—
374C2×C42—151no—
375C2×C42—151no—
376C2×C42—152no—
377C2×C42—308no—
378#95—32no—
379#95—52no—
380#95—152no—
381C2×C3×C5C22×C4211yescharacteristic
382C2×C3×C5C2×C4×D411yescharacteristic
383C2×C3×C5C2×C4×D411yescharacteristic
384C2×C3×C5C2×C4×D411yescharacteristic
385C2×C3×C5C4×#4111yescharacteristic
386C2×C3×C5C4×#4111yescharacteristic
387C2×C3×C5C4×#4111yescharacteristic
388D15—28no—
389C23×C3C23×D511yescharacteristic
390C22×D3—54no—
391C22×D3—54no—
392C22×D3—54no—
393C22×D3—102no—
394C22×D3—102no—
395C22×D3—102no—
396C22×D3—102no—
397C2×C3×C4—22no—
398C2×C3×C4—22no—
399C2×C3×C4—52no—
400C2×C3×C4—52no—
401C2×C3×C4—52no—
402C2×C3×C4—52no—
403C2×C3×C4—54no—
404C2×C3×C4—102no—
405C2×C3×C4—101no—
406C2×C3×C4—102no—
407C2×C3×C4—101no—
408C2×C3×C4C2×C4×D512yes—
409C2×C3×C4C2×C4×D512yes—
410C2×C3×C4C2×C4×D514yes—
411C2×C3×C4C2×C4×D512yes—
412C2×Dic3—22no—
413C2×Dic3—21no—
414C2×Dic3—21no—
415C2×Dic3—22no—
416C2×Dic3—52no—
417C2×Dic3—52no—
418C2×Dic3—52no—
419C2×Dic3—52no—
420C2×Dic3—101no—
421C2×Dic3—101no—
422C2×Dic3C2×C4×D512yes—
423C2×Dic3C2×C4×D514yes—
424C2×Dic3C2×C4×D512yes—
425C2×Dic3D4×D512yes—
426C2×Dic3#71312yes—
427D12—516no—
428C4×D3—1016no—
429C4×D3—1016no—
430C4×D3—1016no—
431C22×C5C22×C4×D311yescharacteristic
432C22×C5C22×C4×D311yescharacteristic
433C22×C5C22×C4×D311yescharacteristic
434C22×C5C2×D3×D411yescharacteristic
435C22×C5C2×#23911yescharacteristic
436C22×C5D3×#4111yescharacteristic
437C22×C5D3×#4111yescharacteristic
438C2×D5—38no—
439C2×D5—64no—
440C2×D5—64no—
441C2×D5—64no—
442C2×D5—64no—
443C2×D5—64no—
444C2×D5—64no—
445C4×C5—24no—
446C4×C5—34no—
447C4×C5—64no—
448C4×C5—62no—
449C4×C5C42×D314yescomplemented
450Dic5—22no—
451Dic5—24no—
452Dic5—34no—
453Dic5—62no—
454Dic5#89314yescomplemented
455C24—152no—
456C2×D4—154no—
457C2×D4—154no—
458C2×D4—154no—
459C22×C4—31no—
460C22×C4—31no—
461C22×C4—32no—
462C22×C4—51no—
463C22×C4—51no—
464C22×C4—52no—
465C22×C4—158no—
466C22×C4—158no—
467C22×C4—151no—
468C22×C4—151no—
469C22×C4—158no—
470C22×C4—304no—
471C22×C4—304no—
472C22×C4—304no—
473C22×C4—304no—
474C22×C4—304no—
475C22×C4—304no—
476C22×C4C2×D3×D512yes—
477C22×C4C2×D3×D511yescharacteristic
478C4⋊C4—34no—
479C4⋊C4—54no—
480C4⋊C4#120014yescomplemented
481C22⋊C4—158no—
482C22⋊C4—158no—
483C22⋊C4—158no—
484C42—34no—
485C42—54no—
486C42—64no—
487C42—104no—
488C42—154no—
489C42—154no—
490C42—302no—
491C42—302no—
492C42—304no—
493C42—302no—
494C3×C5C42×D411yescharacteristic, complemented, Hall
495C22×C3C22×C4×D511yescharacteristic
496C22×C3C22×C4×D511yescharacteristic
497C22×C3C22×C4×D511yescharacteristic
498C22×C3C2×D4×D511yescharacteristic
499C22×C3C2×#71311yescharacteristic
500C22×C3D5×#4111yescharacteristic
501C22×C3D5×#4111yescharacteristic
502C2×D3—58no—
503C2×D3—104no—
504C2×D3—104no—
505C2×D3—104no—
506C2×D3—104no—
507C2×D3—104no—
508C2×D3—104no—
509C3×C4—24no—
510C3×C4—54no—
511C3×C4—104no—
512C3×C4—102no—
513C3×C4C42×D514yescomplemented
514Dic3—22no—
515Dic3—24no—
516Dic3—54no—
517Dic3—102no—
518Dic3#403914yescomplemented
519C2×C5C2×C42×D311yescharacteristic
520C2×C5C2×#89311yescharacteristic
521C2×C5#552211yescharacteristic
522C2×C5C4×D3×D411yescharacteristic
523C2×C5C4×D3×D411yescharacteristic
524C2×C5C4×#23911yescharacteristic
525C2×C5C4×#23911yescharacteristic
526D5—68no—
527C23—154no—
528C23—154no—
529C23—154no—
530C23—302no—
531C23—302no—
532C23—302no—
533C23—302no—
534C23C22×D3×D511yescharacteristic
535D4—1516no—
536C2×C4—22no—
537C2×C4—22no—
538C2×C4—32no—
539C2×C4—32no—
540C2×C4—32no—
541C2×C4—32no—
542C2×C4—34no—
543C2×C4—52no—
544C2×C4—52no—
545C2×C4—52no—
546C2×C4—52no—
547C2×C4—54no—
548C2×C4—62no—
549C2×C4—61no—
550C2×C4—61no—
551C2×C4—62no—
552C2×C4—102no—
553C2×C4—101no—
554C2×C4—101no—
555C2×C4—102no—
556C2×C4—152no—
557C2×C4—152no—
558C2×C4—152no—
559C2×C4—152no—
560C2×C4—3016no—
561C2×C4—3016no—
562C2×C4—3016no—
563C2×C4—301no—
564C2×C4—301no—
565C2×C4C4×D3×D512yes—
566C2×C4C4×D3×D512yes—
567C2×C4C2×#120014yes—
568C2×C4C2×#120012yes—
569C2×C3C2×C42×D511yescharacteristic
570C2×C3C2×#403911yescharacteristic
571C2×C3#6585611yescharacteristic
572C2×C3C4×D4×D511yescharacteristic
573C2×C3C4×D4×D511yescharacteristic
574C2×C3C4×#71311yescharacteristic
575C2×C3C4×#71311yescharacteristic
576D3—108no—
577C5C4×#89311yescharacteristic, complemented, Sylow
578C22—158no—
579C22—304no—
580C22—304no—
581C22—304no—
582C22—304no—
583C22—304no—
584C22—304no—
585C22C2×C4×D3×D511yescharacteristic
586C22C2×C4×D3×D511yescharacteristic
587C22D3×D4×D511yescharacteristic
588C22#9202411yescharacteristic
589C22D5×#23911yescharacteristic
590C22D3×#71311yescharacteristic
591C22C22×#120011yescharacteristic
592C4—24no—
593C4—34no—
594C4—54no—
595C4—64no—
596C4—62no—
597C4—104no—
598C4—102no—
599C4—154no—
600C4—302no—
601C4C4×#120014yescomplemented
602C3C4×#403911yescharacteristic, complemented, Sylow
603C2—308no—
604C2#1175340311yescharacteristic
605C2#1175340811yescharacteristic
606C2D5×#89311yescharacteristic
607C2D3×#403911yescharacteristic
608C2C2×C4×#120011yescharacteristic
609C2D4×#120011yescharacteristic
610C2#1175520011yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC2×C3×C5C22×C42
FittingC2×C3×C5×C4⋊C4C22
socle, cosocleC23×C3×C5C24
prime radicalC22×D60C22
hypercenterC2×C4⋊C4D3×D5
hypocenterC3×C5C42×D4
LCSG ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
4. C2×C4×#1200C2semidirect
5. C5×Dic3×C4⋊C4C2semidirect
6. C3×C4⋊C4×Dic5C2semidirect
7. #11748881C2semidirect
8. #11748875C2semidirect
9. #11748699C2semidirect
10. #11748670C2semidirect
11. C4×Dic3×Dic5C2semidirect
20. #91782C4semidirect
34. #91428C4semidirect
35. #91418C4semidirect
47. C4⋊C4×Dic5D3semidirect
62. C2×C4×D15C2×C4semidirect
73. C2×#1200C2×C4semidirect
74. C2×#1200C2×C4semidirect
75. C3×C5×C4⋊C4C2×C4semidirect
76. #6714C2×C4semidirect
77. C4×Dic15C2×C4semidirect
78. C5×C4⋊Dic3C2×C4semidirect
80. C4×C5×Dic3C2×C4semidirect
81. C3×C4⋊Dic5C2×C4semidirect
83. C3×C4×Dic5C2×C4semidirect
84. #6667C2×C4semidirect
85. #6667C2×C4semidirect
90. Dic3×Dic5D4semidirect
97. Dic3×C4⋊C4D5semidirect
150. D60C42semidirect
223. C5×C4⋊C4C4×D3semidirect
229. C4⋊Dic5C4×D3semidirect
237. C4×Dic5C4×D3semidirect
262. C2×D15C2×C42semidirect
264. C3×C4×C5C2×C42semidirect
266. Dic15C4×D4semidirect
269. C3×Dic5C4×D4semidirect
272. C5×Dic3C4×D4semidirect
297. C3×C4⋊C4C4×D5semidirect
303. C4⋊Dic3C4×D5semidirect
311. C4×Dic3C4×D5semidirect
449. C4×C5C42×D3semidirect
454. Dic5#893semidirect
480. C4⋊C4#1200semidirect
494. C3×C5C42×D4semidirect
513. C3×C4C42×D5semidirect
518. Dic3#4039semidirect
577. C5C4×#893semidirect
601. C4C4×#1200semidirect
602. C3C4×#4039semidirect

Maximal subgroups

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

subgroupindex
C2×#917822
C2×#914282
C2×#914182
C2×C4×#12002
C5×Dic3×C4⋊C42
C3×C4⋊C4×Dic52
#117488812
#117488752
#117486992
#117486702
C4×Dic3×Dic52
C4×#40393
C4×#8935