Finite Group Databasebeta

← C2×#11753398 #14478936

Subgroups — C2×#11753398 #14478936

Order 1920.

3456 conjugacy classes of subgroups.

The subgroup lattice has 624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6765C211yesmaximal, characteristic
2C2×#91776C211yesmaximal, characteristic, complemented
3C2×C5×#892C211yesmaximal, characteristic, complemented
4C2×C3×#4039C211yesmaximal, characteristic, complemented
5C2×#91442C212yesmaximal, complemented
6C2×#91440C212yesmaximal, complemented
7C2×#91434C211yesmaximal, characteristic, complemented
8C2×C4×D3×Dic5C211yesmaximal, characteristic, complemented
9C2×#91393C212yesmaximal, complemented
10C2×C4×D5×Dic3C212yesmaximal, complemented
11C2×#91333C211yesmaximal, characteristic, complemented
12#11753398C2116yesmaximal, direct product factor
13C2×#65856—31nomaximal, Hall
14C22×Dic30C2211yescharacteristic
15C22×C4×C5×D3C2211yescharacteristic
16C22×C3×D20C2211yescharacteristic
17C22×C3×C4×D5C2212yes—
18C22×#1201C2212yes—
19C22×D3×Dic5C2211yescharacteristic
20C22×D3×Dic5C2211yescharacteristic
21C22×D5×Dic3C2212yes—
22C22×D5×Dic3C2212yes—
23C2×#6765C4116yescomplemented
24C2×#6765C2218yes—
25C2×C3×C5×C4⋊C4C2211yescharacteristic
26C2×#6712C2212yes—
27C2×C4×Dic15C2212yes—
28C2×C4×Dic15C2211yescharacteristic
29#91776C2218yescomplemented
30C2×C5×(C2×D3)⋊C4C2212yes—
31C2×C5×C4⋊Dic3C2211yescharacteristic
32C2×C4×C5×Dic3C2212yes—
33C5×#892C2218yescomplemented
34C2×C3×#685C2212yes—
35C2×C3×C4×Dic5C2211yescharacteristic
36C3×#4039C2218yescomplemented
37C2×#6669C2212yes—
38C2×#6665C2212yes—
39C2×Dic3×Dic5C2212yes—
40C2×Dic3×Dic5C2211yescharacteristic
41C2×Dic3×Dic5C2211yescharacteristic
42#91442C22116yescomplemented
43#91440C22116yescomplemented
44#91434C2218yescomplemented
45C4×D3×Dic5C2218yescomplemented
46#91393C22116yescomplemented
47C4×D5×Dic3C22116yescomplemented
48#91333C2218yescomplemented
49C2×C4×#237—51nomaximal, Hall
50C22×#709—31no—
51C2×C5×#117—31no—
52C22×C4×Dic5—31no—
53#65856—316no—
54C2×#4039—31no—
55C2×#4039D311yescharacteristic, complemented
56C2×#4033—31no—
57C2×#4033—31no—
58C2×#4027—32no—
59C2×#4027—32no—
60C2×#4018—32no—
61C2×C42×D5—32no—
62C23×C5×D3C2311yescharacteristic
63C23×C3×D5C2312yes—
64C22×C3×C4×C5C2312yes—
65C22×C3×C4×C5C2311yescharacteristic
66C22×Dic15C2311yescharacteristic
67C22×Dic15C2312yes—
68C22×Dic15C2311yescharacteristic
69C2×Dic30C2×C418yescomplemented
70C2×Dic30C2314yes—
71C22×C5×Dic3C2312yes—
72C22×C5×Dic3C2311yescharacteristic
73C2×C4×C5×D3C2×C418yescomplemented
74C2×C4×C5×D3C2314yes—
75C22×C3×Dic5C2311yescharacteristic
76C22×C3×Dic5C2311yescharacteristic
77C2×C3×D20C2×C418yescomplemented
78C2×C3×D20C2314yes—
79C2×C3×C4×D5—28no—
80C2×C3×C4×D5C2318yes—
81C2×#1201C2×C4116yescomplemented
82C2×#1201C2318yes—
83C2×D3×Dic5—24no—
84C2×D3×Dic5—24no—
85C2×D3×Dic5C2314yes—
86C2×D3×Dic5C2314yes—
87C2×D5×Dic3—28no—
88C2×D5×Dic3C2×C4116yescomplemented
89C2×D5×Dic3C2318yes—
90C2×D5×Dic3C2318yes—
91#6765C2×C4164yescomplemented
92C3×C5×C4⋊C4C2314yes—
93#6712C2318yes—
94C4×Dic15C2314yes—
95C4×Dic15C2318yes—
96C5×(C2×D3)⋊C4C2318yes—
97C5×C4⋊Dic3C2314yes—
98C4×C5×Dic3C2318yes—
99C3×#685C2318yes—
100C3×C4×Dic5C2314yes—
101#6669C2318yes—
102#6665C2318yes—
103Dic3×Dic5C2314yes—
104Dic3×Dic5C2314yes—
105Dic3×Dic5C2318yes—
106C22×#237—51no—
107C2×C3×C4×D4—51no—
108C2×D4×Dic3—51no—
109C2×C4×#67—52no—
110C22×C4×Dic3—52no—
111C4×#237—516no—
112C2×#892D511yescharacteristic, complemented
113C2×#887—51no—
114C2×#67⋊C4—52no—
115C2×#877—52no—
116C2×C42×D3—51no—
117C2×C4×Dic6—51no—
118C23×C4×C5—31no—
119C22×C22⋊D5—32no—
120C23×Dic5—31no—
121C23×Dic5—31no—
122C2×#709—316no—
123C2×#709—38no—
124C22×D20C2×D311yescharacteristic
125C22×C4×D5—32no—
126C22×C4×D5—32no—
127C22×C4×D5C2×D312yes—
128C22×Dic10—31no—
129C5×#117—38no—
130C2×C5×C4⋊C4—31no—
131C2×C5×C4⋊C4C2×D311yescharacteristic
132C2×C5×C22⋊C4—32no—
133C2×C42×C5—32no—
134C2×#685—32no—
135C2×#685C2×D312yes—
136C2×#683—32no—
137C2×#683—32no—
138C2×C4×Dic5—32no—
139C2×C4×Dic5—31no—
140C2×C4×Dic5—31no—
141C2×C4×Dic5—32no—
142C2×C4×Dic5—31no—
143C2×C4×Dic5—38no—
144C2×C4×Dic5C2×D311yescharacteristic
145#4039—38no—
146#4039C2×D318yescomplemented
147#4033—38no—
148#4033—38no—
149#4027—316no—
150#4027—316no—
151#4018—316no—
152C42×D5—316no—
153C2×C4×#41—151noSylow
154C23×C3×C5C2411yescharacteristic
155C22×C5×D3—22no—
156C22×C5×D3—22no—
157C22×C5×D3C22×C414yes—
158C22×C5×D3C2412yes—
159C22×C3×D5—24no—
160C22×C3×D5—24no—
161C22×C3×D5C22×C418yes—
162C22×C3×D5C2414yes—
163C2×C3×C4×C5—24no—
164C2×C3×C4×C5C22×C414yes—
165C2×C3×C4×C5C2414yes—
166C2×C3×C4×C5C2412yes—
167C2×Dic15—22no—
168C2×Dic15C22×C418yes—
169C2×Dic15#4114yescomplemented
170C2×Dic15C2412yes—
171C2×Dic15C2414yes—
172C2×Dic15C2412yes—
173Dic30C22×C4116yescomplemented
174C2×C5×Dic3—24no—
175C2×C5×Dic3C22×C414yes—
176C2×C5×Dic3C2414yes—
177C2×C5×Dic3C2412yes—
178C4×C5×D3C22×C4116yescomplemented
179C2×C3×Dic5—22no—
180C2×C3×Dic5#4114yescomplemented
181C2×C3×Dic5C2412yes—
182C2×C3×Dic5C2412yes—
183C3×D20C22×C4116yescomplemented
184C3×C4×D5—216no—
185#1201C22×C4132yescomplemented
186D3×Dic5—28no—
187D3×Dic5—28no—
188D5×Dic3—216no—
189D5×Dic3C22×C4132yescomplemented
190C22×C3×D4—51no—
191C23×C3×C4—52no—
192C22×#67—52no—
193C23×Dic3—52no—
194C23×Dic3—52no—
195C2×#237—516no—
196C2×#237—58no—
197C22×C4×D3—51no—
198C22×C4×D3—51no—
199C22×C4×D3C2×D511yescharacteristic
200C22×Dic6—51no—
201C3×C4×D4—58no—
202C2×C3×C4⋊C4C2×D511yescharacteristic
203C2×C3×C22⋊C4—52no—
204C2×C3×C42—51no—
205C2×#217—52no—
206D4×Dic3—58no—
207C4×#67—516no—
208C2×(C2×D3)⋊C4C2×D512yes—
209C2×C4⋊Dic3C2×D511yescharacteristic
210C2×Dic3⋊C4—52no—
211C2×Dic3⋊C4—52no—
212C2×C4×Dic3—51no—
213C2×C4×Dic3—52no—
214C2×C4×Dic3—52no—
215C2×C4×Dic3—51no—
216C2×C4×Dic3—51no—
217C2×C4×Dic3—516no—
218C2×C4×Dic3C2×D512yes—
219#892C2×D518yescomplemented
220#887—58no—
221#67⋊C4—516no—
222#877—516no—
223C42×D3—58no—
224C4×Dic6—58no—
225C24×C5—31no—
226C23×D5C22×D312yes—
227C22×C4×C5—31no—
228C22×C4×C5—38no—
229C22×C4×C5—34no—
230C22×C4×C5—32no—
231C22×C4×C5C22×D312yes—
232C22×C4×C5C22×D311yescharacteristic
233C2×C22⋊D5—316no—
234C2×C22⋊D5—38no—
235C22×Dic5—32no—
236C22×Dic5—31no—
237C22×Dic5—31no—
238C22×Dic5—34no—
239C22×Dic5—34no—
240C22×Dic5—64no—
241C22×Dic5—64no—
242C22×Dic5C22×D311yescharacteristic
243C22×Dic5C22×D311yescharacteristic
244#709—364no—
245C2×D20C4×D318yescomplemented
246C2×D20C22×D314yes—
247C2×C4×D5—28no—
248C2×C4×D5—316no—
249C2×C4×D5—38no—
250C2×C4×D5—38no—
251C2×C4×D5—68no—
252C2×C4×D5C22×D318yes—
253C2×Dic10—38no—
254C2×Dic10—34no—
255C5×C4⋊C4—34no—
256C5×C4⋊C4C22×D314yes—
257C5×C22⋊C4—38no—
258C42×C5—38no—
259#685—38no—
260#685C22×D318yes—
261#683—38no—
262#683—38no—
263C4×Dic5—38no—
264C4×Dic5—34no—
265C4×Dic5—34no—
266C4×Dic5—38no—
267C4×Dic5—34no—
268C4×Dic5C22×D314yes—
269C22×#41—151no—
270C4×#41—1516no—
271C2×C4×Q8—151no—
272C2×C4×Q8—151no—
273C2×C4×D4—51no—
274C2×C4×D4—152no—
275C2×C4×D4—152no—
276C2×C4×D4—151no—
277C2×#117—31no—
278C2×#117—152no—
279C22×C42—152no—
280C22×C42—151no—
281C22×C3×C5C23×C412yes—
282C22×C3×C5C2×#4112yes—
283C22×C3×C5C2×#4112yes—
284C22×C3×C5C2511yescharacteristic
285C2×C5×D3—28no—
286C2×C5×D3—22no—
287C2×C5×D3—22no—
288C2×C5×D3C23×C414yes—
289C2×C3×D5—216no—
290C2×C3×D5—24no—
291C2×C3×D5—24no—
292C2×C3×D5C23×C418yes—
293C3×C4×C5—24no—
294C3×C4×C5C23×C414yes—
295Dic15—22no—
296Dic15C23×C418yes—
297Dic15C2×#4114yescomplemented
298C3×Dic5—22no—
299C3×Dic5C2×#4114yescomplemented
300C5×Dic3—24no—
301C5×Dic3C23×C414yes—
302C24×C3—52no—
303C23×D3C22×D511yescharacteristic
304C2×C3×D4—58no—
305C2×C3×D4—54no—
306C22×C3×C4—51no—
307C22×C3×C4—51no—
308C22×C3×C4—58no—
309C22×C3×C4—108no—
310C22×C3×C4C22×D512yes—
311C22×C3×C4C22×D511yescharacteristic
312C2×#67—516no—
313C2×#67—58no—
314C22×Dic3—51no—
315C22×Dic3—52no—
316C22×Dic3—516no—
317C22×Dic3—58no—
318C22×Dic3—51no—
319C22×Dic3—58no—
320C22×Dic3—108no—
321C22×Dic3C22×D512yes—
322C22×Dic3C22×D511yescharacteristic
323#237—564no—
324C2×C4×D3—54no—
325C2×C4×D3—54no—
326C2×C4×D3—104no—
327C2×C4×D3—104no—
328C2×C4×D3C4×D518yescomplemented
329C2×C4×D3C22×D514yes—
330C2×Dic6—58no—
331C2×Dic6—54no—
332C3×C4⋊C4C22×D514yes—
333C3×C22⋊C4—58no—
334C3×C42—54no—
335#217—58no—
336(C2×D3)⋊C4C22×D518yes—
337C4⋊Dic3C22×D514yes—
338Dic3⋊C4—58no—
339Dic3⋊C4—58no—
340C4×Dic3—54no—
341C4×Dic3—58no—
342C4×Dic3—58no—
343C4×Dic3—54no—
344C4×Dic3—54no—
345C4×Dic3C22×D518yes—
346C23×C5—34no—
347C23×C5—32no—
348C23×C5—62no—
349C23×C5—62no—
350C23×C5C23×D311yescharacteristic
351C22×D5—24no—
352C22×D5—24no—
353C22×D5C2×C4×D318yes—
354C22×D5C23×D314yes—
355C2×C4×C5—24no—
356C2×C4×C5—34no—
357C2×C4×C5—32no—
358C2×C4×C5—316no—
359C2×C4×C5—34no—
360C2×C4×C5—64no—
361C2×C4×C5C2×C4×D314yes—
362C2×C4×C5C23×D314yes—
363C2×C4×C5C23×D312yes—
364C22⋊D5—332no—
365C2×Dic5—22no—
366C2×Dic5—38no—
367C2×Dic5—34no—
368C2×Dic5—32no—
369C2×Dic5—34no—
370C2×Dic5—32no—
371C2×Dic5—68no—
372C2×Dic5—62no—
373C2×Dic5—68no—
374C2×Dic5#23714yescomplemented
375C2×Dic5C23×D312yes—
376C2×Dic5C23×D312yes—
377D20C2×C4×D3116yescomplemented
378C4×D5—216no—
379C4×D5—332no—
380C4×D5—616no—
381Dic10—316no—
382C2×#41—158no—
383C2×#41—1516no—
384C22×Q8—151no—
385C22×D4—51no—
386C22×D4—152no—
387C23×C4—31no—
388C23×C4—52no—
389C23×C4—152no—
390C23×C4—152no—
391C23×C4—151no—
392C23×C4—151no—
393C4×Q8—158no—
394C4×Q8—158no—
395C4×D4—58no—
396C4×D4—1516no—
397C4×D4—1516no—
398C4×D4—158no—
399#117—38no—
400#117—1516no—
401C2×C4⋊C4—31no—
402C2×C4⋊C4—152no—
403C2×C4⋊C4—152no—
404C2×C4⋊C4D3×D511yescharacteristic
405C2×C22⋊C4—32no—
406C2×C22⋊C4—52no—
407C2×C22⋊C4—152no—
408C2×C42—32no—
409C2×C42—51no—
410C2×C42—1516no—
411C2×C42—158no—
412C2×C42—151no—
413C2×C42—152no—
414C2×C42—151no—
415C2×C42—152no—
416C2×C42—151no—
417C2×C3×C5C4×#4114yescomplemented
418C2×C3×C5C24×C411yescharacteristic
419C2×C3×C5C22×#4111yescharacteristic
420C2×C3×C5C22×#4111yescharacteristic
421C3×D5—28no—
422C5×D3—24no—
423C23×C3—58no—
424C23×C3—54no—
425C23×C3—104no—
426C23×C3—104no—
427C23×C3C23×D511yescharacteristic
428C22×D3—22no—
429C22×D3—22no—
430C22×D3C2×C4×D514yes—
431C22×D3C23×D512yes—
432C3×D4—516no—
433C2×C3×C4—24no—
434C2×C3×C4—54no—
435C2×C3×C4—52no—
436C2×C3×C4—52no—
437C2×C3×C4—1016no—
438C2×C3×C4—102no—
439C2×C3×C4C2×C4×D514yes—
440C2×C3×C4C23×D514yes—
441C2×C3×C4C23×D512yes—
442#67—532no—
443C2×Dic3—24no—
444C2×Dic3—58no—
445C2×Dic3—54no—
446C2×Dic3—52no—
447C2×Dic3—54no—
448C2×Dic3—532no—
449C2×Dic3—52no—
450C2×Dic3—1016no—
451C2×Dic3—102no—
452C2×Dic3C2×C4×D514yes—
453C2×Dic3C23×D514yes—
454C2×Dic3C23×D512yes—
455C4×D3—108no—
456C4×D3—108no—
457C4×D3C2×C4×D5116yescomplemented
458Dic6—516no—
459C22×C5—34no—
460C22×C5—62no—
461C22×C5—62no—
462C22×C5—68no—
463C22×C5C22×C4×D312yes—
464C22×C5C2×#23712yes—
465C22×C5D3×#4112yes—
466C22×C5C24×D311yescharacteristic
467C2×D5—24no—
468C2×D5—24no—
469C2×D5—216no—
470C2×D5C22×C4×D318yes—
471C4×C5—24no—
472C4×C5—34no—
473C4×C5—64no—
474C4×C5C22×C4×D314yes—
475Dic5—22no—
476Dic5—38no—
477Dic5—34no—
478Dic5—62no—
479Dic5C2×#23714yescomplemented
480C24—31no—
481C24—52no—
482#41—1564no—
483C2×Q8—158no—
484C2×Q8—154no—
485C2×D4—58no—
486C2×D4—54no—
487C2×D4—158no—
488C2×D4—1516no—
489C22×C4—31no—
490C22×C4—38no—
491C22×C4—34no—
492C22×C4—32no—
493C22×C4—51no—
494C22×C4—51no—
495C22×C4—58no—
496C22×C4—108no—
497C22×C4—158no—
498C22×C4—1516no—
499C22×C4—158no—
500C22×C4—154no—
501C22×C4—154no—
502C22×C4—151no—
503C22×C4—152no—
504C22×C4—151no—
505C22×C4—304no—
506C22×C4—308no—
507C22×C4—304no—
508C22×C4C2×D3×D512yes—
509C22×C4C2×D3×D511yescharacteristic
510C4⋊C4—34no—
511C4⋊C4—158no—
512C4⋊C4—158no—
513C4⋊C4C2×D3×D514yes—
514C22⋊C4—38no—
515C22⋊C4—58no—
516C22⋊C4—158no—
517C42—38no—
518C42—54no—
519C42—154no—
520C42—154no—
521C42—158no—
522C42—158no—
523C42—154no—
524C3×C5C2×C4×#4111yescharacteristic, complemented, Hall
525C22×C3—58no—
526C22×C3—1016no—
527C22×C3—104no—
528C22×C3—104no—
529C22×C3C22×C4×D512yes—
530C22×C3D5×#4112yes—
531C22×C3D5×#4112yes—
532C22×C3C24×D511yescharacteristic
533C2×D3—28no—
534C2×D3—22no—
535C2×D3—22no—
536C2×D3C22×C4×D514yes—
537C3×C4—24no—
538C3×C4—54no—
539C3×C4—102no—
540C3×C4C22×C4×D514yes—
541Dic3—24no—
542Dic3—58no—
543Dic3—54no—
544Dic3—102no—
545Dic3C22×C4×D514yes—
546C2×C5—64no—
547C2×C5C4×#23714yescomplemented
548C2×C5C23×C4×D311yescharacteristic
549C2×C5C22×#23711yescharacteristic
550C2×C5C2×D3×#4111yescharacteristic
551D5—28no—
552C23—34no—
553C23—32no—
554C23—58no—
555C23—54no—
556C23—62no—
557C23—62no—
558C23—104no—
559C23—104no—
560C23C22×D3×D511yescharacteristic
561Q8—1516no—
562D4—516no—
563D4—1532no—
564C2×C4—24no—
565C2×C4—34no—
566C2×C4—32no—
567C2×C4—316no—
568C2×C4—34no—
569C2×C4—54no—
570C2×C4—52no—
571C2×C4—52no—
572C2×C4—64no—
573C2×C4—1016no—
574C2×C4—102no—
575C2×C4—1532no—
576C2×C4—158no—
577C2×C4—154no—
578C2×C4—152no—
579C2×C4—154no—
580C2×C4—152no—
581C2×C4—308no—
582C2×C4—3016no—
583C2×C4—308no—
584C2×C4—302no—
585C2×C4C4×D3×D514yes—
586C2×C4C22×D3×D514yes—
587C2×C4C22×D3×D512yes—
588C2×C3—108no—
589C2×C3#6585614yescomplemented
590C2×C3C23×C4×D511yescharacteristic
591C2×C3C2×D5×#4111yescharacteristic
592C2×C3C2×D5×#4111yescharacteristic
593D3—24no—
594C5C2×C4×#23711yescharacteristic, complemented, Sylow
595C22—34no—
596C22—58no—
597C22—68no—
598C22—62no—
599C22—62no—
600C22—1016no—
601C22—104no—
602C22—104no—
603C22C2×C4×D3×D512yes—
604C22D5×#23712yes—
605C22#9203412yes—
606C22C23×D3×D511yescharacteristic
607C4—24no—
608C4—34no—
609C4—54no—
610C4—64no—
611C4—102no—
612C4—158no—
613C4—154no—
614C4—302no—
615C4C2×C4×D3×D514yes—
616C3C2×#6585611yescharacteristic, complemented, Sylow
617C2—64no—
618C2—108no—
619C2#1175339814yesdirect product factor
620C2C22×C4×D3×D511yescharacteristic
621C2C2×D5×#23711yescharacteristic
622C2C2×#9203411yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutatorC2×C3×C5C24×C4
FrattiniC22C23×D3×D5
FittingC2×C3×C5×C4⋊C4C22
socleC23×C3×C5C24
prime radicalC22×#6765C2
cosocleC22×C3×C5C25
hypercenterC2×C4⋊C4D3×D5
hypocenterC3×C5C2×C4×#41
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
2. C2×#91776C2semidirect
3. C2×C5×#892C2semidirect
4. C2×C3×#4039C2semidirect
5. C2×#91442C2semidirect
6. C2×#91440C2semidirect
7. C2×#91434C2semidirect
8. C2×C4×D3×Dic5C2semidirect
9. C2×#91393C2semidirect
10. C2×C4×D5×Dic3C2semidirect
11. C2×#91333C2semidirect
12. #11753398C2direct (N × H)
23. C2×#6765C4semidirect
29. #91776C22semidirect
33. C5×#892C22semidirect
36. C3×#4039C22semidirect
42. #91442C22semidirect
43. #91440C22semidirect
44. #91434C22semidirect
45. C4×D3×Dic5C22semidirect
46. #91393C22semidirect
47. C4×D5×Dic3C22semidirect
48. #91333C22semidirect
55. C2×#4039D3semidirect
69. C2×Dic30C2×C4semidirect
73. C2×C4×C5×D3C2×C4semidirect
77. C2×C3×D20C2×C4semidirect
81. C2×#1201C2×C4semidirect
88. C2×D5×Dic3C2×C4semidirect
91. #6765C2×C4semidirect
112. C2×#892D5semidirect
146. #4039C2×D3semidirect
169. C2×Dic15#41semidirect
173. Dic30C22×C4semidirect
178. C4×C5×D3C22×C4semidirect
180. C2×C3×Dic5#41semidirect
183. C3×D20C22×C4semidirect
185. #1201C22×C4semidirect
189. D5×Dic3C22×C4semidirect
219. #892C2×D5semidirect
245. C2×D20C4×D3semidirect
297. Dic15C2×#41semidirect
299. C3×Dic5C2×#41semidirect
328. C2×C4×D3C4×D5semidirect
374. C2×Dic5#237semidirect
377. D20C2×C4×D3semidirect
417. C2×C3×C5C4×#41semidirect
457. C4×D3C2×C4×D5semidirect
479. Dic5C2×#237semidirect
524. C3×C5C2×C4×#41semidirect
547. C2×C5C4×#237semidirect
589. C2×C3#65856semidirect
594. C5C2×C4×#237semidirect
616. C3C2×#65856semidirect
619. C2#11753398direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#67652
C2×#917762
C2×C5×#8922
C2×C3×#40392
C2×#914422
C2×#914402
C2×#914342
C2×C4×D3×Dic52
C2×#913932
C2×C4×D5×Dic32
C2×#913332
#117533982
C2×#658563
C2×C4×#2375