Finite Group Databasebeta

← C2×#11753402 #14478934

Subgroups — C2×#11753402 #14478934

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×#6772C211yesmaximal, characteristic
2C2×#91776C211yesmaximal, characteristic, complemented
3C2×C5×#893C211yesmaximal, characteristic, complemented
4C2×C3×#4038C211yesmaximal, characteristic, complemented
5C2×#91442C212yesmaximal, complemented
6C2×#91441C212yesmaximal, complemented
7C2×#91435C211yesmaximal, characteristic, complemented
8C2×#91398C212yesmaximal, complemented
9C2×C4×D3×Dic5C212yesmaximal, complemented
10C2×C4×D5×Dic3C211yesmaximal, characteristic, complemented
11C2×#91340C211yesmaximal, characteristic, complemented
12#11753402C2116yesmaximal, direct product factor
13C2×C4×#711—31nomaximal, Hall
14C22×Dic30C2211yescharacteristic
15C22×C5×D12C2211yescharacteristic
16C22×C4×C5×D3C2212yes—
17C22×C3×C4×D5C2211yescharacteristic
18C22×#1201C2212yes—
19C22×D3×Dic5C2212yes—
20C22×D3×Dic5C2212yes—
21C22×D5×Dic3C2211yescharacteristic
22C22×D5×Dic3C2211yescharacteristic
23C2×#6772C4116yescomplemented
24C2×#6772C2218yes—
25C2×C3×C5×C4⋊C4C2211yescharacteristic
26C2×#6712C2212yes—
27C2×C4×Dic15C2212yes—
28C2×C4×Dic15C2211yescharacteristic
29#91776C2218yescomplemented
30C2×C5×(C2×D3)⋊C4C2212yes—
31C2×C4×C5×Dic3C2211yescharacteristic
32C5×#893C2218yescomplemented
33C2×C3×#685C2212yes—
34C2×C3×C4⋊Dic5C2211yescharacteristic
35C2×C3×C4×Dic5C2212yes—
36C3×#4038C2218yescomplemented
37C2×#6669C2212yes—
38C2×(C2×D3)⋊Dic5C2212yes—
39C2×Dic3×Dic5C2212yes—
40C2×Dic3×Dic5C2211yescharacteristic
41C2×Dic3×Dic5C2211yescharacteristic
42#91442C22116yescomplemented
43#91441C22116yescomplemented
44#91435C2218yescomplemented
45#91398C22116yescomplemented
46C4×D3×Dic5C22116yescomplemented
47C4×D5×Dic3C2218yescomplemented
48#91340C2218yescomplemented
49C2×#5522—51nomaximal, Hall
50C22×#711—31no—
51C2×C4×C5×D4—31no—
52C2×D4×Dic5—31no—
53C2×C4×C22⋊D5—32no—
54C22×C4×Dic5—32no—
55C4×#711—316no—
56C2×#4038D311yescharacteristic, complemented
57C2×#4033—31no—
58C2×#4027—32no—
59C2×#4023—32no—
60C2×C42×D5—31no—
61C2×C4×Dic10—31no—
62C23×C5×D3C2312yes—
63C23×C3×D5C2311yescharacteristic
64C22×C3×C4×C5C2312yes—
65C22×C3×C4×C5C2311yescharacteristic
66C22×Dic15C2311yescharacteristic
67C22×Dic15C2312yes—
68C22×Dic15C2311yescharacteristic
69C2×Dic30C2×C418yescomplemented
70C2×Dic30C2314yes—
71C22×C5×Dic3C2311yescharacteristic
72C22×C5×Dic3C2311yescharacteristic
73C2×C5×D12C2×C418yescomplemented
74C2×C5×D12C2314yes—
75C2×C4×C5×D3—28no—
76C2×C4×C5×D3C2318yes—
77C22×C3×Dic5C2312yes—
78C22×C3×Dic5C2311yescharacteristic
79C2×C3×C4×D5C2×C418yescomplemented
80C2×C3×C4×D5C2314yes—
81C2×#1201C2×C4116yescomplemented
82C2×#1201C2318yes—
83C2×D3×Dic5—28no—
84C2×D3×Dic5C2×C4116yescomplemented
85C2×D3×Dic5C2318yes—
86C2×D3×Dic5C2318yes—
87C2×D5×Dic3—24no—
88C2×D5×Dic3—24no—
89C2×D5×Dic3C2314yes—
90C2×D5×Dic3C2314yes—
91#6772C2×C4164yescomplemented
92C3×C5×C4⋊C4C2314yes—
93#6712C2318yes—
94C4×Dic15C2318yes—
95C4×Dic15C2314yes—
96C5×(C2×D3)⋊C4C2318yes—
97C4×C5×Dic3C2314yes—
98C3×#685C2318yes—
99C3×C4⋊Dic5C2314yes—
100C3×C4×Dic5C2318yes—
101#6669C2318yes—
102(C2×D3)⋊Dic5C2318yes—
103Dic3×Dic5C2314yes—
104Dic3×Dic5C2318yes—
105Dic3×Dic5C2314yes—
106C22×#235—51no—
107C2×C3×#117—51no—
108C22×C4×Dic3—51no—
109#5522—516no—
110C2×#893—51no—
111C2×#893D511yescharacteristic, complemented
112C2×#887—51no—
113C2×#887—51no—
114C2×#67⋊C4—52no—
115C2×#67⋊C4—52no—
116C2×#872—52no—
117C2×C42×D3—52no—
118C22×C5×D4—31no—
119C23×C4×C5—32no—
120C22×C22⋊D5—32no—
121C23×Dic5—32no—
122C23×Dic5—32no—
123C2×#711—316no—
124C2×#711—38no—
125C22×C4×D5—31no—
126C22×C4×D5—31no—
127C22×C4×D5C2×D311yescharacteristic
128C22×Dic10—31no—
129C4×C5×D4—38no—
130C2×C5×C4⋊C4C2×D311yescharacteristic
131C2×C5×C22⋊C4—32no—
132C2×C42×C5—31no—
133C2×C22⋊Dic5—32no—
134D4×Dic5—38no—
135C4×C22⋊D5—316no—
136C2×#685C2×D312yes—
137C2×C4⋊Dic5C2×D311yescharacteristic
138C2×#683—32no—
139C2×#683—32no—
140C2×C4×Dic5—31no—
141C2×C4×Dic5—32no—
142C2×C4×Dic5—32no—
143C2×C4×Dic5—31no—
144C2×C4×Dic5—31no—
145C2×C4×Dic5—316no—
146C2×C4×Dic5C2×D312yes—
147#4038C2×D318yescomplemented
148#4033—38no—
149#4027—316no—
150#4023—316no—
151C42×D5—38no—
152C4×Dic10—38no—
153C2×C4×#41—151noSylow
154C23×C3×C5C2411yescharacteristic
155C22×C5×D3—24no—
156C22×C5×D3—24no—
157C22×C5×D3C22×C418yes—
158C22×C5×D3C2414yes—
159C22×C3×D5—22no—
160C22×C3×D5—22no—
161C22×C3×D5C22×C414yes—
162C22×C3×D5C2412yes—
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—22no—
175C2×C5×Dic3#4114yescomplemented
176C2×C5×Dic3C2412yes—
177C2×C5×Dic3C2412yes—
178C5×D12C22×C4116yescomplemented
179C4×C5×D3—216no—
180C2×C3×Dic5—24no—
181C2×C3×Dic5C22×C414yes—
182C2×C3×Dic5C2414yes—
183C2×C3×Dic5C2412yes—
184C3×C4×D5C22×C4116yescomplemented
185#1201C22×C4132yescomplemented
186D3×Dic5—216no—
187D3×Dic5C22×C4132yescomplemented
188D5×Dic3—28no—
189D5×Dic3—28no—
190C23×C3×C4—51no—
191C22×#67—52no—
192C23×Dic3—51no—
193C23×Dic3—51no—
194C2×#235—516no—
195C2×#235—58no—
196C22×D12C2×D511yescharacteristic
197C22×C4×D3—52no—
198C22×C4×D3—52no—
199C22×C4×D3C2×D512yes—
200C22×Dic6—51no—
201C3×#117—58no—
202C2×C3×C4⋊C4—51no—
203C2×C3×C4⋊C4C2×D511yescharacteristic
204C2×C3×C22⋊C4—52no—
205C2×C3×C42—52no—
206C2×(C2×D3)⋊C4—52no—
207C2×(C2×D3)⋊C4C2×D512yes—
208C2×Dic3⋊C4—52no—
209C2×Dic3⋊C4—52no—
210C2×C4×Dic3—52no—
211C2×C4×Dic3—51no—
212C2×C4×Dic3—51no—
213C2×C4×Dic3—52no—
214C2×C4×Dic3—51no—
215C2×C4×Dic3—58no—
216C2×C4×Dic3C2×D511yescharacteristic
217#893—58no—
218#893C2×D518yescomplemented
219#887—58no—
220#887—58no—
221#67⋊C4—516no—
222#67⋊C4—516no—
223#872—516no—
224C42×D3—516no—
225C24×C5—32no—
226C23×D5C22×D311yescharacteristic
227C2×C5×D4—38no—
228C2×C5×D4—34no—
229C22×C4×C5—31no—
230C22×C4×C5—31no—
231C22×C4×C5—38no—
232C22×C4×C5—68no—
233C22×C4×C5C22×D312yes—
234C22×C4×C5C22×D311yescharacteristic
235C2×C22⋊D5—316no—
236C2×C22⋊D5—38no—
237C22×Dic5—32no—
238C22×Dic5—31no—
239C22×Dic5—316no—
240C22×Dic5—38no—
241C22×Dic5—31no—
242C22×Dic5—38no—
243C22×Dic5—68no—
244C22×Dic5C22×D312yes—
245C22×Dic5C22×D311yescharacteristic
246#711—364no—
247C2×C4×D5—34no—
248C2×C4×D5—34no—
249C2×C4×D5—64no—
250C2×C4×D5—64no—
251C2×C4×D5C4×D318yescomplemented
252C2×C4×D5C22×D314yes—
253C2×Dic10—38no—
254C2×Dic10—34no—
255C5×C4⋊C4C22×D314yes—
256C5×C22⋊C4—38no—
257C42×C5—34no—
258C22⋊Dic5—38no—
259#685C22×D318yes—
260C4⋊Dic5C22×D314yes—
261#683—38no—
262#683—38no—
263C4×Dic5—34no—
264C4×Dic5—38no—
265C4×Dic5—38no—
266C4×Dic5—34no—
267C4×Dic5—34no—
268C4×Dic5C22×D318yes—
269C22×#41—151no—
270C4×#41—1516no—
271C2×C4×Q8—151no—
272C2×C4×Q8—151no—
273C2×C4×D4—31no—
274C2×C4×D4—152no—
275C2×C4×D4—152no—
276C2×C4×D4—151no—
277C2×#117—51no—
278C2×#117—152no—
279C22×C42—151no—
280C22×C42—152no—
281C22×C3×C5C23×C412yes—
282C22×C3×C5C2×#4112yes—
283C22×C3×C5C2×#4112yes—
284C22×C3×C5C2511yescharacteristic
285C2×C5×D3—216no—
286C2×C5×D3—24no—
287C2×C5×D3—24no—
288C2×C5×D3C23×C418yes—
289C2×C3×D5—28no—
290C2×C3×D5—22no—
291C2×C3×D5—22no—
292C2×C3×D5C23×C414yes—
293C3×C4×C5—24no—
294C3×C4×C5C23×C414yes—
295Dic15—22no—
296Dic15C23×C418yes—
297Dic15C2×#4114yescomplemented
298C3×Dic5—24no—
299C3×Dic5C23×C414yes—
300C5×Dic3—22no—
301C5×Dic3C2×#4114yescomplemented
302C24×C3—51no—
303C23×D3C22×D512yes—
304C22×C3×C4—51no—
305C22×C3×C4—58no—
306C22×C3×C4—54no—
307C22×C3×C4—52no—
308C22×C3×C4C22×D512yes—
309C22×C3×C4C22×D511yescharacteristic
310C2×#67—516no—
311C2×#67—58no—
312C22×Dic3—51no—
313C22×Dic3—52no—
314C22×Dic3—51no—
315C22×Dic3—54no—
316C22×Dic3—54no—
317C22×Dic3—104no—
318C22×Dic3—104no—
319C22×Dic3C22×D511yescharacteristic
320C22×Dic3C22×D511yescharacteristic
321#235—564no—
322C2×D12C4×D518yescomplemented
323C2×D12C22×D514yes—
324C2×C4×D3—28no—
325C2×C4×D3—516no—
326C2×C4×D3—58no—
327C2×C4×D3—58no—
328C2×C4×D3—108no—
329C2×C4×D3C22×D518yes—
330C2×Dic6—58no—
331C2×Dic6—54no—
332C3×C4⋊C4—54no—
333C3×C4⋊C4C22×D514yes—
334C3×C22⋊C4—58no—
335C3×C42—58no—
336(C2×D3)⋊C4—58no—
337(C2×D3)⋊C4C22×D518yes—
338Dic3⋊C4—58no—
339Dic3⋊C4—58no—
340C4×Dic3—58no—
341C4×Dic3—54no—
342C4×Dic3—54no—
343C4×Dic3—58no—
344C4×Dic3—54no—
345C4×Dic3C22×D514yes—
346C23×C5—38no—
347C23×C5—34no—
348C23×C5—64no—
349C23×C5—64no—
350C23×C5C23×D311yescharacteristic
351C22×D5—22no—
352C22×D5—22no—
353C22×D5C2×C4×D314yes—
354C22×D5C23×D312yes—
355C5×D4—316no—
356C2×C4×C5—24no—
357C2×C4×C5—34no—
358C2×C4×C5—32no—
359C2×C4×C5—32no—
360C2×C4×C5—616no—
361C2×C4×C5—62no—
362C2×C4×C5C2×C4×D314yes—
363C2×C4×C5C23×D314yes—
364C2×C4×C5C23×D312yes—
365C22⋊D5—332no—
366C2×Dic5—24no—
367C2×Dic5—38no—
368C2×Dic5—34no—
369C2×Dic5—32no—
370C2×Dic5—34no—
371C2×Dic5—332no—
372C2×Dic5—32no—
373C2×Dic5—616no—
374C2×Dic5—62no—
375C2×Dic5C2×C4×D314yes—
376C2×Dic5C23×D314yes—
377C2×Dic5C23×D312yes—
378C4×D5—68no—
379C4×D5—68no—
380C4×D5C2×C4×D3116yescomplemented
381Dic10—316no—
382C2×#41—158no—
383C2×#41—1516no—
384C22×Q8—151no—
385C22×D4—31no—
386C22×D4—152no—
387C23×C4—32no—
388C23×C4—51no—
389C23×C4—151no—
390C23×C4—151no—
391C23×C4—152no—
392C23×C4—152no—
393C4×Q8—158no—
394C4×Q8—158no—
395C4×D4—38no—
396C4×D4—1516no—
397C4×D4—1516no—
398C4×D4—158no—
399#117—58no—
400#117—1516no—
401C2×C4⋊C4—51no—
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—31no—
409C2×C42—52no—
410C2×C42—158no—
411C2×C42—1516no—
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—24no—
422C5×D3—28no—
423C23×C3—54no—
424C23×C3—52no—
425C23×C3—102no—
426C23×C3—102no—
427C23×C3C23×D511yescharacteristic
428C22×D3—24no—
429C22×D3—24no—
430C22×D3C2×C4×D518yes—
431C22×D3C23×D514yes—
432C2×C3×C4—24no—
433C2×C3×C4—54no—
434C2×C3×C4—52no—
435C2×C3×C4—516no—
436C2×C3×C4—54no—
437C2×C3×C4—104no—
438C2×C3×C4C2×C4×D514yes—
439C2×C3×C4C23×D514yes—
440C2×C3×C4C23×D512yes—
441#67—532no—
442C2×Dic3—22no—
443C2×Dic3—58no—
444C2×Dic3—54no—
445C2×Dic3—52no—
446C2×Dic3—54no—
447C2×Dic3—52no—
448C2×Dic3—108no—
449C2×Dic3—102no—
450C2×Dic3—108no—
451C2×Dic3#71114yescomplemented
452C2×Dic3C23×D512yes—
453C2×Dic3C23×D512yes—
454D12C2×C4×D5116yescomplemented
455C4×D3—216no—
456C4×D3—532no—
457C4×D3—1016no—
458Dic6—516no—
459C22×C5—38no—
460C22×C5—64no—
461C22×C5—64no—
462C22×C5—616no—
463C22×C5C22×C4×D312yes—
464C22×C5D3×#4112yes—
465C22×C5D3×#4112yes—
466C22×C5C24×D311yescharacteristic
467C2×D5—22no—
468C2×D5—22no—
469C2×D5—28no—
470C2×D5C22×C4×D314yes—
471C4×C5—24no—
472C4×C5—34no—
473C4×C5—62no—
474C4×C5C22×C4×D314yes—
475Dic5—24no—
476Dic5—38no—
477Dic5—34no—
478Dic5—62no—
479Dic5C22×C4×D314yes—
480C24—32no—
481C24—51no—
482#41—1564no—
483C2×Q8—158no—
484C2×Q8—154no—
485C2×D4—38no—
486C2×D4—34no—
487C2×D4—158no—
488C2×D4—1516no—
489C22×C4—31no—
490C22×C4—31no—
491C22×C4—38no—
492C22×C4—51no—
493C22×C4—58no—
494C22×C4—54no—
495C22×C4—52no—
496C22×C4—68no—
497C22×C4—154no—
498C22×C4—154no—
499C22×C4—158no—
500C22×C4—1516no—
501C22×C4—158no—
502C22×C4—151no—
503C22×C4—152no—
504C22×C4—151no—
505C22×C4—304no—
506C22×C4—304no—
507C22×C4—308no—
508C22×C4C2×D3×D512yes—
509C22×C4C2×D3×D511yescharacteristic
510C4⋊C4—54no—
511C4⋊C4—158no—
512C4⋊C4—158no—
513C4⋊C4C2×D3×D514yes—
514C22⋊C4—38no—
515C22⋊C4—58no—
516C22⋊C4—158no—
517C42—34no—
518C42—58no—
519C42—154no—
520C42—154no—
521C42—158no—
522C42—158no—
523C42—154no—
524C3×C5C2×C4×#4111yescharacteristic, complemented, Hall
525C22×C3—54no—
526C22×C3—108no—
527C22×C3—102no—
528C22×C3—102no—
529C22×C3C22×C4×D512yes—
530C22×C3C2×#71112yes—
531C22×C3D5×#4112yes—
532C22×C3C24×D511yescharacteristic
533C2×D3—216no—
534C2×D3—24no—
535C2×D3—24no—
536C2×D3C22×C4×D518yes—
537C3×C4—24no—
538C3×C4—54no—
539C3×C4—104no—
540C3×C4C22×C4×D514yes—
541Dic3—22no—
542Dic3—58no—
543Dic3—54no—
544Dic3—102no—
545Dic3C2×#71114yescomplemented
546C2×C5—68no—
547C2×C5#552214yescomplemented
548C2×C5C23×C4×D311yescharacteristic
549C2×C5C2×D3×#4111yescharacteristic
550C2×C5C2×D3×#4111yescharacteristic
551D5—24no—
552C23—38no—
553C23—34no—
554C23—54no—
555C23—52no—
556C23—64no—
557C23—64no—
558C23—102no—
559C23—102no—
560C23C22×D3×D511yescharacteristic
561Q8—1516no—
562D4—316no—
563D4—1532no—
564C2×C4—24no—
565C2×C4—34no—
566C2×C4—32no—
567C2×C4—32no—
568C2×C4—54no—
569C2×C4—52no—
570C2×C4—516no—
571C2×C4—54no—
572C2×C4—616no—
573C2×C4—62no—
574C2×C4—104no—
575C2×C4—1532no—
576C2×C4—158no—
577C2×C4—154no—
578C2×C4—152no—
579C2×C4—154no—
580C2×C4—152no—
581C2×C4—308no—
582C2×C4—308no—
583C2×C4—3016no—
584C2×C4—302no—
585C2×C4C4×D3×D514yes—
586C2×C4C22×D3×D514yes—
587C2×C4C22×D3×D512yes—
588C2×C3—104no—
589C2×C3C4×#71114yescomplemented
590C2×C3C23×C4×D511yescharacteristic
591C2×C3C22×#71111yescharacteristic
592C2×C3C2×D5×#4111yescharacteristic
593D3—28no—
594C5C2×#552211yescharacteristic, complemented, Sylow
595C22—38no—
596C22—54no—
597C22—616no—
598C22—64no—
599C22—64no—
600C22—108no—
601C22—102no—
602C22—102no—
603C22C2×C4×D3×D512yes—
604C22D3×#71112yes—
605C22#9203412yes—
606C22C23×D3×D511yescharacteristic
607C4—24no—
608C4—34no—
609C4—54no—
610C4—62no—
611C4—104no—
612C4—158no—
613C4—154no—
614C4—302no—
615C4C2×C4×D3×D514yes—
616C3C2×C4×#71111yescharacteristic, complemented, Sylow
617C2—68no—
618C2—104no—
619C2#1175340214yesdirect product factor
620C2C22×C4×D3×D511yescharacteristic
621C2C2×D3×#71111yescharacteristic
622C2C2×#9203411yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutatorC2×C3×C5C24×C4
FrattiniC22C23×D3×D5
FittingC2×C3×C5×C4⋊C4C22
socleC23×C3×C5C24
prime radicalC22×#6772C2
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×#893C2semidirect
4. C2×C3×#4038C2semidirect
5. C2×#91442C2semidirect
6. C2×#91441C2semidirect
7. C2×#91435C2semidirect
8. C2×#91398C2semidirect
9. C2×C4×D3×Dic5C2semidirect
10. C2×C4×D5×Dic3C2semidirect
11. C2×#91340C2semidirect
12. #11753402C2direct (N × H)
23. C2×#6772C4semidirect
29. #91776C22semidirect
32. C5×#893C22semidirect
36. C3×#4038C22semidirect
42. #91442C22semidirect
43. #91441C22semidirect
44. #91435C22semidirect
45. #91398C22semidirect
46. C4×D3×Dic5C22semidirect
47. C4×D5×Dic3C22semidirect
48. #91340C22semidirect
56. C2×#4038D3semidirect
69. C2×Dic30C2×C4semidirect
73. C2×C5×D12C2×C4semidirect
79. C2×C3×C4×D5C2×C4semidirect
81. C2×#1201C2×C4semidirect
84. C2×D3×Dic5C2×C4semidirect
91. #6772C2×C4semidirect
111. C2×#893D5semidirect
147. #4038C2×D3semidirect
169. C2×Dic15#41semidirect
173. Dic30C22×C4semidirect
175. C2×C5×Dic3#41semidirect
178. C5×D12C22×C4semidirect
184. C3×C4×D5C22×C4semidirect
185. #1201C22×C4semidirect
187. D3×Dic5C22×C4semidirect
218. #893C2×D5semidirect
251. C2×C4×D5C4×D3semidirect
297. Dic15C2×#41semidirect
301. C5×Dic3C2×#41semidirect
322. C2×D12C4×D5semidirect
380. C4×D5C2×C4×D3semidirect
417. C2×C3×C5C4×#41semidirect
451. C2×Dic3#711semidirect
454. D12C2×C4×D5semidirect
524. C3×C5C2×C4×#41semidirect
545. Dic3C2×#711semidirect
547. C2×C5#5522semidirect
589. C2×C3C4×#711semidirect
594. C5C2×#5522semidirect
616. C3C2×C4×#711semidirect
619. C2#11753402direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#67722
C2×#917762
C2×C5×#8932
C2×C3×#40382
C2×#914422
C2×#914412
C2×#914352
C2×#913982
C2×C4×D3×Dic52
C2×C4×D5×Dic32
C2×#913402
#117534022
C2×C4×#7113
C2×#55225