Finite Group Databasebeta

← C2×#11756583 #14482675

Subgroups — C2×#11756583 #14482675

Order 1920.

3264 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×C5×#41C211yesmaximal, characteristic, complemented
2C22×#6819C211yesmaximal, characteristic, complemented
3#11756583C2116yesmaximal, direct product factor
4C2×#91835C211yesmaximal, characteristic, complemented
5C2×#91833C211yesmaximal, characteristic, complemented
6C2×#91828C212yesmaximal, complemented
7C2×#91824C212yesmaximal, complemented
8C2×D4×Dic15C211yesmaximal, characteristic, complemented
9C2×#91818C212yesmaximal, complemented
10C2×C4×#1220C211yesmaximal, characteristic, complemented
11C2×#91813C211yesmaximal, characteristic, complemented
12C22×#6712C212yesmaximal, complemented
13C2×#66158—31nomaximal, Hall
14C2×C3×C5×#41—28no—
15C2×C3×C5×#41C2218yescomplemented
16C22×C3×C5×Q8C2211yescharacteristic
17C22×C3×C5×D4C2212yes—
18C22×C3×C5×D4C2211yescharacteristic
19C23×C3×C4×C5C2211yescharacteristic
20C23×C3×C4×C5C2212yes—
21C22×#1220C2211yescharacteristic
22C22×#1220C2212yes—
23C23×Dic15C2212yes—
24C23×Dic15C2212yes—
25C2×#6819—28no—
26C2×#6819C2218yescomplemented
27C22×C4×D15C2211yescharacteristic
28C22×Dic30C2211yescharacteristic
29C2×#6719C2211yescharacteristic
30C2×#6719C2212yes—
31C2×#6719C2212yes—
32#91835C2218yescomplemented
33#91833C2218yescomplemented
34#91828C22116yescomplemented
35#91824C22116yescomplemented
36D4×Dic15C2218yescomplemented
37#91818C22116yescomplemented
38C4×#1220C2218yescomplemented
39C2×#6714C2211yescharacteristic
40C2×#6714C2212yes—
41C2×C4⋊Dic15C2211yescharacteristic
42#91813C2218yescomplemented
43C2×#6712C2211yescharacteristic
44C2×#6712C2212yes—
45C2×#6712C2212yes—
46C2×#6712C2212yes—
47C2×#6712C2212yes—
48C2×#6712C22116yescomplemented
49C2×C4×Dic15C2211yescharacteristic
50C2×#5824—51nomaximal, Hall
51C22×C5×#41D311yescharacteristic, complemented
52C22×#711—31no—
53#66158—316no—
54C2×#4092—31no—
55C2×#4090—31no—
56C2×#4085—32no—
57C2×#4081—32no—
58C2×D4×Dic5—31no—
59C2×#4075—32no—
60C2×C4×C22⋊D5—31no—
61C2×#4070—31no—
62C22×#683—32no—
63C24×C3×C5C2311yescharacteristic
64C24×C3×C5C2312yes—
65C23×D15C2311yescharacteristic
66C3×C5×#41—232no—
67C2×C3×C5×Q8—24no—
68C2×C3×C5×Q8C2314yes—
69C2×C3×C5×D4—28no—
70C2×C3×C5×D4D418yescomplemented
71C2×C3×C5×D4C2318yes—
72C2×C3×C5×D4C2314yes—
73C22×C3×C4×C5—28no—
74C22×C3×C4×C5—24no—
75C22×C3×C4×C5C2311yescharacteristic
76C22×C3×C4×C5C2312yes—
77C22×C3×C4×C5C2318yes—
78C22×C3×C4×C5C2314yes—
79C22×C3×C4×C5C2311yescharacteristic
80C2×#1220—28no—
81C2×#1220—24no—
82C2×#1220C2314yes—
83C2×#1220C2318yes—
84C22×Dic15—28no—
85C22×Dic15—28no—
86C22×Dic15C2311yescharacteristic
87C22×Dic15C2312yes—
88C22×Dic15C2311yescharacteristic
89C22×Dic15C2312yes—
90C22×Dic15C2318yes—
91C22×Dic15C2318yes—
92C22×Dic15C2311yescharacteristic
93#6819—232no—
94C2×C4×D15—24no—
95C2×C4×D15C2314yes—
96C2×Dic30—24no—
97C2×Dic30C2314yes—
98#6719C2318yes—
99#6719C2314yes—
100#6719C2318yes—
101#6714C2314yes—
102#6714C2318yes—
103C4⋊Dic15C2314yes—
104#6712C2314yes—
105#6712C2318yes—
106#6712C2318yes—
107#6712C2318yes—
108#6712C2318yes—
109C4×Dic15C2314yes—
110C22×C3×#41D511yescharacteristic, complemented
111C22×#237—51no—
112#5824—516no—
113C2×#946—51no—
114C2×#944—51no—
115C2×#939—52no—
116C2×#935—52no—
117C2×D4×Dic3—51no—
118C2×#929—52no—
119C2×C4×#67—51no—
120C2×#924—51no—
121C22×Dic3⋊C4—52no—
122C2×C5×#41—28no—
123C2×C5×#41C2×D318yescomplemented
124C22×C5×Q8C2×D311yescharacteristic
125C22×C5×D4C2×D312yes—
126C22×C5×D4C2×D311yescharacteristic
127C23×C4×C5C2×D312yes—
128C23×C4×C5C2×D311yescharacteristic
129C22×C22⋊D5—31no—
130C22×C22⋊D5—32no—
131C23×Dic5—32no—
132C23×Dic5—32no—
133C2×#711—38no—
134C2×#711—68no—
135C22×C4×D5—31no—
136C22×Dic10—31no—
137C2×C22⋊Dic5—32no—
138C2×C22⋊Dic5—31no—
139C2×C22⋊Dic5—32no—
140#4092—38no—
141#4090—38no—
142#4085—316no—
143#4081—316no—
144D4×Dic5—38no—
145#4075—316no—
146C4×C22⋊D5—38no—
147C2×#685—31no—
148C2×#685—32no—
149C2×C4⋊Dic5—31no—
150#4070—38no—
151C2×#683—31no—
152C2×#683—32no—
153C2×#683—32no—
154C2×#683—32no—
155C2×#683—316no—
156C2×#683—32no—
157C2×C4×Dic5—31no—
158C2×#547—151noSylow
159C23×C3×C5—24no—
160C23×C3×C5—24no—
161C23×C3×C5—22no—
162C23×C3×C5—22no—
163C23×C3×C5—22no—
164C23×C3×C5C2×D418yes—
165C23×C3×C5C2412yes—
166C23×C3×C5C2414yes—
167C23×C3×C5C2411yescharacteristic
168C22×D15—22no—
169C22×D15—22no—
170C22×D15—22no—
171C22×D15C2412yes—
172C3×C5×Q8—28no—
173C3×C5×D4—216no—
174C3×C5×D4C2×D4116yescomplemented
175C2×C3×C4×C5—22no—
176C2×C3×C4×C5—24no—
177C2×C3×C4×C5—216no—
178C2×C3×C4×C5—28no—
179C2×C3×C4×C5C2×D414yes—
180C2×C3×C4×C5C2412yes—
181C2×C3×C4×C5C2414yes—
182C2×C3×C4×C5C2412yes—
183#1220—216no—
184#1220—28no—
185C2×Dic15—24no—
186C2×Dic15—22no—
187C2×Dic15—216no—
188C2×Dic15—24no—
189C2×Dic15—22no—
190C2×Dic15—216no—
191C2×Dic15#4114yescomplemented
192C2×Dic15C2412yes—
193C2×Dic15C2414yes—
194C2×Dic15C2412yes—
195C2×Dic15C2414yes—
196C2×Dic15C2412yes—
197C4×D15—28no—
198Dic30—28no—
199C2×C3×#41—28no—
200C2×C3×#41C2×D518yescomplemented
201C22×C3×Q8C2×D511yescharacteristic
202C22×C3×D4C2×D512yes—
203C22×C3×D4C2×D511yescharacteristic
204C23×C3×C4C2×D512yes—
205C23×C3×C4C2×D511yescharacteristic
206C22×#67—52no—
207C22×#67—51no—
208C23×Dic3—52no—
209C23×Dic3—52no—
210C2×#237—58no—
211C2×#237—108no—
212C22×C4×D3—51no—
213C22×Dic6—51no—
214C2×#217—52no—
215C2×#217—51no—
216C2×#217—52no—
217#946—58no—
218#944—58no—
219#939—516no—
220#935—516no—
221D4×Dic3—58no—
222#929—516no—
223C4×#67—58no—
224C2×(C2×D3)⋊C4—51no—
225C2×(C2×D3)⋊C4—52no—
226C2×C4⋊Dic3—51no—
227#924—58no—
228C2×Dic3⋊C4—51no—
229C2×Dic3⋊C4—52no—
230C2×Dic3⋊C4—52no—
231C2×Dic3⋊C4—52no—
232C2×Dic3⋊C4—516no—
233C2×Dic3⋊C4—52no—
234C2×C4×Dic3—51no—
235C24×C5C22×D311yescharacteristic
236C24×C5C22×D312yes—
237C23×D5—31no—
238C5×#41—232no—
239C2×C5×Q8—24no—
240C2×C5×Q8C22×D314yes—
241C2×C5×D4—28no—
242C2×C5×D4#6718yescomplemented
243C2×C5×D4C22×D318yes—
244C2×C5×D4C22×D314yes—
245C22×C4×C5—28no—
246C22×C4×C5—24no—
247C22×C4×C5C22×D311yescharacteristic
248C22×C4×C5C22×D312yes—
249C22×C4×C5C22×D318yes—
250C22×C4×C5C22×D314yes—
251C22×C4×C5C22×D311yescharacteristic
252C2×C22⋊D5—38no—
253C2×C22⋊D5—34no—
254C2×C22⋊D5—64no—
255C2×C22⋊D5—68no—
256C22×Dic5—31no—
257C22×Dic5—31no—
258C22×Dic5—32no—
259C22×Dic5—32no—
260C22×Dic5—31no—
261C22×Dic5—38no—
262C22×Dic5—38no—
263C22×Dic5—68no—
264C22×Dic5—68no—
265#711—632no—
266C2×C4×D5—34no—
267C2×C4×D5—64no—
268C2×Dic10—34no—
269C2×Dic10—64no—
270C22⋊Dic5—38no—
271C22⋊Dic5—34no—
272C22⋊Dic5—38no—
273#685—34no—
274#685—38no—
275C4⋊Dic5—34no—
276#683—34no—
277#683—38no—
278#683—38no—
279#683—38no—
280#683—38no—
281C4×Dic5—34no—
282C22×#41—151no—
283C22×#41D1511yescharacteristic, complemented
284#547—1516no—
285C2×C4⋊Q8—151no—
286C2×#123—152no—
287C2×#123—152no—
288C2×C22⋊Q8—151no—
289C2×C22⋊Q8—151no—
290C2×#121—152no—
291C2×C4×D4—151no—
292C2×C4×D4—151no—
293C22×C4⋊C4—152no—
294C22×C3×C5—216no—
295C22×C3×C5—24no—
296C22×C3×C5—24no—
297C22×C3×C5—22no—
298C22×C3×C5—22no—
299C22×C3×C5—22no—
300C22×C3×C5—44no—
301C22×C3×C5C22×D418yes—
302C22×C3×C5C22×D412yes—
303C22×C3×C5C2×#4112yes—
304C22×C3×C52−1+412yes—
305C22×C3×C5C2511yescharacteristic
306C2×D15—22no—
307C2×D15—22no—
308C2×D15—22no—
309C2×D15—44no—
310C3×C4×C5—22no—
311C3×C4×C5—24no—
312C3×C4×C5C22×D414yes—
313Dic15—24no—
314Dic15—22no—
315Dic15—24no—
316Dic15—22no—
317Dic15C2×#4114yescomplemented
318C24×C3C22×D511yescharacteristic
319C24×C3C22×D512yes—
320C23×D3—51no—
321C3×#41—232no—
322C2×C3×Q8—24no—
323C2×C3×Q8C22×D514yes—
324C2×C3×D4—28no—
325C2×C3×D4C22⋊D518yescomplemented
326C2×C3×D4C22×D518yes—
327C2×C3×D4C22×D514yes—
328C22×C3×C4—28no—
329C22×C3×C4—24no—
330C22×C3×C4C22×D511yescharacteristic
331C22×C3×C4C22×D512yes—
332C22×C3×C4C22×D518yes—
333C22×C3×C4C22×D514yes—
334C22×C3×C4C22×D511yescharacteristic
335C2×#67—54no—
336C2×#67—58no—
337C2×#67—104no—
338C2×#67—108no—
339C22×Dic3—51no—
340C22×Dic3—51no—
341C22×Dic3—52no—
342C22×Dic3—51no—
343C22×Dic3—52no—
344C22×Dic3—58no—
345C22×Dic3—58no—
346C22×Dic3—108no—
347C22×Dic3—108no—
348#237—1032no—
349C2×C4×D3—54no—
350C2×C4×D3—104no—
351C2×Dic6—54no—
352C2×Dic6—104no—
353#217—58no—
354#217—54no—
355#217—58no—
356(C2×D3)⋊C4—54no—
357(C2×D3)⋊C4—58no—
358C4⋊Dic3—54no—
359Dic3⋊C4—54no—
360Dic3⋊C4—58no—
361Dic3⋊C4—58no—
362Dic3⋊C4—58no—
363Dic3⋊C4—58no—
364C4×Dic3—54no—
365C23×C5—24no—
366C23×C5—24no—
367C23×C5—22no—
368C23×C5—22no—
369C23×C5—22no—
370C23×C5C2×#6718yes—
371C23×C5C23×D312yes—
372C23×C5C23×D314yes—
373C23×C5C23×D311yescharacteristic
374C22×D5—32no—
375C22×D5—62no—
376C22×D5—62no—
377C22×D5—62no—
378C5×Q8—28no—
379C5×D4—216no—
380C5×D4C2×#67116yescomplemented
381C2×C4×C5—22no—
382C2×C4×C5—24no—
383C2×C4×C5—216no—
384C2×C4×C5—28no—
385C2×C4×C5C2×#6714yes—
386C2×C4×C5C23×D312yes—
387C2×C4×C5C23×D314yes—
388C2×C4×C5C23×D312yes—
389C22⋊D5—68no—
390C22⋊D5—616no—
391C2×Dic5—34no—
392C2×Dic5—32no—
393C2×Dic5—32no—
394C2×Dic5—34no—
395C2×Dic5—32no—
396C2×Dic5—34no—
397C2×Dic5—616no—
398C2×Dic5—64no—
399C2×Dic5—62no—
400C2×Dic5—64no—
401C2×Dic5—62no—
402C2×Dic5—616no—
403C4×D5—68no—
404Dic10—68no—
405C2×#41—28no—
406C2×#41—158no—
407C2×#41—308no—
408C2×#41C2×D1518yescomplemented
409C22×Q8—151no—
410C22×Q8C2×D1511yescharacteristic
411C22×D4—151no—
412C22×D4—152no—
413C22×D4C2×D1512yes—
414C22×D4C2×D1511yescharacteristic
415C23×C4—152no—
416C23×C4—152no—
417C23×C4—151no—
418C23×C4C2×D1512yes—
419C23×C4C2×D1511yescharacteristic
420C4⋊Q8—158no—
421#123—1516no—
422#123—1516no—
423C22⋊Q8—158no—
424C22⋊Q8—158no—
425#121—1516no—
426C4×D4—158no—
427C4×D4—158no—
428C2×C4⋊C4—151no—
429C2×C4⋊C4—152no—
430C2×C4⋊C4—152no—
431C2×C4⋊C4—152no—
432C2×C4⋊C4—1516no—
433C2×C4⋊C4—151no—
434C2×C4⋊C4—152no—
435C2×C22⋊C4—152no—
436C2×C22⋊C4—151no—
437C2×C22⋊C4—152no—
438C2×C22⋊C4—151no—
439C2×C22⋊C4—152no—
440C2×C42—151no—
441C2×C3×C5—28no—
442C2×C3×C5—42no—
443C2×C3×C5#54714yescomplemented
444C2×C3×C5C23×D411yescharacteristic
445C2×C3×C5C22×#4111yescharacteristic
446C2×C3×C5C2×2−1+411yescharacteristic
447D15—42no—
448C23×C3—24no—
449C23×C3—24no—
450C23×C3—22no—
451C23×C3—22no—
452C23×C3—22no—
453C23×C3C2×C22⋊D518yes—
454C23×C3C23×D512yes—
455C23×C3C23×D514yes—
456C23×C3C23×D511yescharacteristic
457C22×D3—52no—
458C22×D3—102no—
459C22×D3—102no—
460C22×D3—102no—
461C3×Q8—28no—
462C3×D4—216no—
463C3×D4C2×C22⋊D5116yescomplemented
464C2×C3×C4—22no—
465C2×C3×C4—24no—
466C2×C3×C4—216no—
467C2×C3×C4—28no—
468C2×C3×C4C2×C22⋊D514yes—
469C2×C3×C4C23×D512yes—
470C2×C3×C4C23×D514yes—
471C2×C3×C4C23×D512yes—
472#67—108no—
473#67—1016no—
474C2×Dic3—54no—
475C2×Dic3—52no—
476C2×Dic3—52no—
477C2×Dic3—54no—
478C2×Dic3—52no—
479C2×Dic3—54no—
480C2×Dic3—1016no—
481C2×Dic3—104no—
482C2×Dic3—102no—
483C2×Dic3—104no—
484C2×Dic3—102no—
485C2×Dic3—1016no—
486C4×D3—108no—
487Dic6—108no—
488C22×C5—24no—
489C22×C5—24no—
490C22×C5—216no—
491C22×C5—22no—
492C22×C5—22no—
493C22×C5—22no—
494C22×C5—44no—
495C22×C5D3×#4112yes—
496C22×C5#101012yes—
497C22×C5C22×#6718yes—
498C22×C5C22×#6712yes—
499C22×C5C24×D311yescharacteristic
500C2×D5—62no—
501C2×D5—62no—
502C2×D5—62no—
503C2×D5—124no—
504C4×C5—22no—
505C4×C5—24no—
506C4×C5C22×#6714yes—
507Dic5—34no—
508Dic5—64no—
509Dic5—62no—
510Dic5—64no—
511Dic5—62no—
512C24—151no—
513C24C22×D1511yescharacteristic
514C24C22×D1512yes—
515#41—232no—
516#41—3032no—
517C2×Q8—24no—
518C2×Q8—154no—
519C2×Q8—304no—
520C2×Q8C22×D1514yes—
521C2×D4—28no—
522C2×D4—154no—
523C2×D4—158no—
524C2×D4—304no—
525C2×D4—308no—
526C2×D4#122018yescomplemented
527C2×D4C22×D1518yes—
528C2×D4C22×D1514yes—
529C22×C4—28no—
530C22×C4—24no—
531C22×C4—151no—
532C22×C4—158no—
533C22×C4—158no—
534C22×C4—151no—
535C22×C4—152no—
536C22×C4—151no—
537C22×C4—152no—
538C22×C4—154no—
539C22×C4—308no—
540C22×C4—308no—
541C22×C4—304no—
542C22×C4C22×D1518yes—
543C22×C4C22×D1514yes—
544C22×C4C22×D1511yescharacteristic
545C22×C4C22×D1512yes—
546C22×C4C22×D1511yescharacteristic
547C4⋊C4—154no—
548C4⋊C4—158no—
549C4⋊C4—158no—
550C4⋊C4—158no—
551C4⋊C4—154no—
552C4⋊C4—158no—
553C22⋊C4—158no—
554C22⋊C4—154no—
555C22⋊C4—158no—
556C22⋊C4—154no—
557C22⋊C4—158no—
558C42—154no—
559C3×C5C2×#54711yescharacteristic, complemented, Hall
560C22×C3—216no—
561C22×C3—24no—
562C22×C3—24no—
563C22×C3—22no—
564C22×C3—22no—
565C22×C3—22no—
566C22×C3—44no—
567C22×C3D5×#4112yes—
568C22×C3#415012yes—
569C22×C3C22×C22⋊D518yes—
570C22×C3C22×C22⋊D512yes—
571C22×C3C24×D511yescharacteristic
572C2×D3—102no—
573C2×D3—102no—
574C2×D3—102no—
575C2×D3—204no—
576C3×C4—22no—
577C3×C4—24no—
578C3×C4C22×C22⋊D514yes—
579Dic3—54no—
580Dic3—104no—
581Dic3—102no—
582Dic3—104no—
583Dic3—102no—
584C2×C5—28no—
585C2×C5—42no—
586C2×C5#582414yescomplemented
587C2×C5C2×D3×#4111yescharacteristic
588C2×C5C2×#101011yescharacteristic
589C2×C5C23×#6711yescharacteristic
590D5—122no—
591C23—24no—
592C23—24no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—152no—
597C23—302no—
598C23—302no—
599C23—302no—
600C23C2×#122018yes—
601C23C23×D1512yes—
602C23C23×D1514yes—
603C23C23×D1511yescharacteristic
604Q8—28no—
605Q8—308no—
606D4—216no—
607D4—308no—
608D4—3016no—
609D4C2×#1220116yescomplemented
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—216no—
613C2×C4—28no—
614C2×C4—154no—
615C2×C4—152no—
616C2×C4—152no—
617C2×C4—154no—
618C2×C4—152no—
619C2×C4—154no—
620C2×C4—3016no—
621C2×C4—304no—
622C2×C4—302no—
623C2×C4—302no—
624C2×C4—304no—
625C2×C4—3016no—
626C2×C4—308no—
627C2×C4C2×#122014yes—
628C2×C4C23×D1512yes—
629C2×C4C23×D1514yes—
630C2×C4C23×D1512yes—
631C2×C3—28no—
632C2×C3—42no—
633C2×C3#6615814yescomplemented
634C2×C3C2×D5×#4111yescharacteristic
635C2×C3C2×#415011yescharacteristic
636C2×C3C23×C22⋊D511yescharacteristic
637D3—202no—
638C5C2×#582411yescharacteristic, complemented, Sylow
639C22—216no—
640C22—24no—
641C22—24no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—44no—
646C22—302no—
647C22—302no—
648C22—302no—
649C22—604no—
650C22#41×D1512yes—
651C22#9210112yes—
652C22C22×#122018yes—
653C22C22×#122012yes—
654C22C24×D1511yescharacteristic
655C4—22no—
656C4—24no—
657C4—154no—
658C4—304no—
659C4—302no—
660C4—302no—
661C4—304no—
662C4C22×#122014yes—
663C3C2×#6615811yescharacteristic, complemented, Sylow
664C2—28no—
665C2—42no—
666C2—602no—
667C2#1175658314yesdirect product factor
668C2C2×#41×D1511yescharacteristic
669C2C2×#9210111yescharacteristic
670C2C23×#122011yescharacteristic
subgroupG/H
centerC23C23×D15
commutator, cosocleC22×C3×C5C25
FrattiniC22C24×D15
FittingC22×C3×C5×#41C2
socleC23×C3×C5C24
hypercenterC22×#41D15
hypocenterC3×C5C2×#547
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C22×#41

Complements

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

NH ≅ G/Ntype
1. C22×C3×C5×#41C2semidirect
2. C22×#6819C2semidirect
3. #11756583C2direct (N × H)
4. C2×#91835C2semidirect
5. C2×#91833C2semidirect
6. C2×#91828C2semidirect
7. C2×#91824C2semidirect
8. C2×D4×Dic15C2semidirect
9. C2×#91818C2semidirect
10. C2×C4×#1220C2semidirect
11. C2×#91813C2semidirect
12. C22×#6712C2semidirect
15. C2×C3×C5×#41C22semidirect
26. C2×#6819C22semidirect
32. #91835C22semidirect
33. #91833C22semidirect
34. #91828C22semidirect
35. #91824C22semidirect
36. D4×Dic15C22semidirect
37. #91818C22semidirect
38. C4×#1220C22semidirect
42. #91813C22semidirect
48. C2×#6712C22semidirect
51. C22×C5×#41D3semidirect
70. C2×C3×C5×D4D4semidirect
110. C22×C3×#41D5semidirect
123. C2×C5×#41C2×D3semidirect
174. C3×C5×D4C2×D4semidirect
191. C2×Dic15#41semidirect
200. C2×C3×#41C2×D5semidirect
242. C2×C5×D4#67semidirect
283. C22×#41D15semidirect
317. Dic15C2×#41semidirect
325. C2×C3×D4C22⋊D5semidirect
380. C5×D4C2×#67semidirect
408. C2×#41C2×D15semidirect
443. C2×C3×C5#547semidirect
463. C3×D4C2×C22⋊D5semidirect
526. C2×D4#1220semidirect
559. C3×C5C2×#547semidirect
586. C2×C5#5824semidirect
609. D4C2×#1220semidirect
633. C2×C3#66158semidirect
638. C5C2×#5824semidirect
663. C3C2×#66158semidirect
667. C2#11756583direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×C5×#412
C22×#68192
#117565832
C2×#918352
C2×#918332
C2×#918282
C2×#918242
C2×D4×Dic152
C2×#918182
C2×C4×#12202
C2×#918132
C22×#67122
C2×#661583
C2×#58245