Finite Group Databasebeta

← C2×#11754972 #14482756

Subgroups — C2×#11754972 #14482756

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×#6819C211yesmaximal, characteristic, complemented
2C22×C3×#711C211yesmaximal, characteristic, complemented
3C2×C5×D4×Dic3C211yesmaximal, characteristic, complemented
4C2×#91569C212yesmaximal, complemented
5C2×#91546C212yesmaximal, complemented
6C22×Dic3⋊Dic5C212yesmaximal, complemented
7C2×#91537C212yesmaximal, complemented
8#11754972C2116yesmaximal, direct product factor
9C2×C4×#1202C211yesmaximal, characteristic, complemented
10C2×#91390C211yesmaximal, characteristic, complemented
11C2×#91389C211yesmaximal, characteristic, complemented
12C2×#91360C211yesmaximal, characteristic, complemented
13C2×#65889—31nomaximal, Hall
14C22×C3×C5×D4C2211yescharacteristic
15C22×#1220C2212yes—
16C23×Dic15C2212yes—
17C2×#6819—28no—
18C2×#6819C2218yescomplemented
19C22×C4×D15C2211yescharacteristic
20C22×Dic30C2211yescharacteristic
21C23×C5×Dic3C2212yes—
22C22×C3×C22⋊D5C2212yes—
23C23×C3×Dic5C2212yes—
24C2×C3×#711—28no—
25C2×C3×#711C2218yescomplemented
26C22×C3×C4×D5C2211yescharacteristic
27C22×C3×Dic10C2211yescharacteristic
28C22×#1202C2211yescharacteristic
29C2×C5×#217C2212yes—
30C5×D4×Dic3C2218yescomplemented
31C2×C5×C4⋊Dic3C2211yescharacteristic
32C2×C4×C5×Dic3C2211yescharacteristic
33#91569C22116yescomplemented
34#91546C22116yescomplemented
35C2×Dic3⋊Dic5C2212yes—
36C2×Dic3⋊Dic5C2211yescharacteristic
37C2×Dic3⋊Dic5C2212yes—
38C2×Dic3⋊Dic5C2212yes—
39C2×Dic3⋊Dic5C2212yes—
40C2×Dic3⋊Dic5C22116yescomplemented
41C2×#6667C2211yescharacteristic
42C2×#6667C2212yes—
43#91537C22116yescomplemented
44C2×#6665C2212yes—
45C2×#6665C2211yescharacteristic
46C4×#1202C2218yescomplemented
47#91390C2218yescomplemented
48#91389C2218yescomplemented
49#91360C2218yescomplemented
50C2×#5824—51nomaximal, Hall
51C22×#711—31no—
52C22×#711D311yescharacteristic, complemented
53C2×C4×C5×D4—31no—
54C2×#4076—32no—
55C22×C4⋊Dic5—32no—
56#65889—316no—
57C2×#4043—31no—
58C2×#4043—31no—
59C2×#4032—32no—
60C2×#4032—32no—
61C2×C4×D20—31no—
62C2×#4015—31no—
63C24×C3×C5C2312yes—
64C23×D15C2311yescharacteristic
65C23×C3×D5C2311yescharacteristic
66C2×C3×C5×D4D418yescomplemented
67C2×C3×C5×D4C2314yes—
68C22×C3×C4×C5C2311yescharacteristic
69C2×#1220—28no—
70C2×#1220C2318yes—
71C22×Dic15—28no—
72C22×Dic15C2312yes—
73C22×Dic15C2311yescharacteristic
74C22×Dic15C2318yes—
75#6819—232no—
76C2×C4×D15—24no—
77C2×C4×D15C2314yes—
78C2×Dic30—24no—
79C2×Dic30C2314yes—
80C22×C5×Dic3—28no—
81C22×C5×Dic3C2311yescharacteristic
82C22×C5×Dic3C2312yes—
83C22×C5×Dic3C2318yes—
84C22×C5×Dic3C2311yescharacteristic
85C2×C3×C22⋊D5—28no—
86C2×C3×C22⋊D5C2318yes—
87C22×C3×Dic5—28no—
88C22×C3×Dic5C2312yes—
89C22×C3×Dic5C2311yescharacteristic
90C22×C3×Dic5C2318yes—
91C3×#711—232no—
92C2×C3×C4×D5—24no—
93C2×C3×C4×D5C2314yes—
94C2×C3×Dic10—24no—
95C2×C3×Dic10C2314yes—
96C2×#1202—24no—
97C2×#1202C2314yes—
98C5×#217C2318yes—
99C5×C4⋊Dic3C2314yes—
100C4×C5×Dic3C2314yes—
101Dic3⋊Dic5C2314yes—
102Dic3⋊Dic5C2318yes—
103Dic3⋊Dic5C2318yes—
104Dic3⋊Dic5C2318yes—
105Dic3⋊Dic5C2318yes—
106#6667C2314yes—
107#6667C2318yes—
108#6665C2314yes—
109#6665C2318yes—
110C22×C3×#41—51no—
111C22×#237—51no—
112#5824—516no—
113C2×#946—51no—
114C2×#944—51no—
115C2×#939—52no—
116C2×#935—52no—
117C2×D4×Dic3D511yescharacteristic, complemented
118C2×#929—52no—
119C2×C4×#67—51no—
120C2×#924—51no—
121C22×Dic3⋊C4—52no—
122C22×C5×D4C2×D311yescharacteristic
123C23×C4×C5—32no—
124C22×C22⋊D5—32no—
125C22×C22⋊D5C2×D312yes—
126C23×Dic5—32no—
127C23×Dic5C2×D312yes—
128C2×#711—28no—
129C2×#711—38no—
130C2×#711—68no—
131C2×#711C2×D318yescomplemented
132C22×D20—31no—
133C22×C4×D5—31no—
134C22×C4×D5C2×D311yescharacteristic
135C22×Dic10—31no—
136C22×Dic10C2×D311yescharacteristic
137C4×C5×D4—38no—
138C2×C5×C4⋊C4—31no—
139C2×C5×C22⋊C4—32no—
140C2×C42×C5—31no—
141#4076—316no—
142C2×#685—31no—
143C2×#685—32no—
144C2×#685—31no—
145C2×#685—32no—
146C2×C4⋊Dic5—32no—
147C2×C4⋊Dic5—32no—
148C2×C4⋊Dic5—31no—
149C2×C4⋊Dic5—32no—
150C2×C4⋊Dic5—32no—
151C2×C4⋊Dic5—316no—
152#4043—38no—
153#4043—38no—
154#4032—316no—
155#4032—316no—
156C4×D20—38no—
157#4015—38no—
158C2×#547—151noSylow
159C23×C3×C5—24no—
160C23×C3×C5—24no—
161C23×C3×C5C2×D418yes—
162C23×C3×C5C2414yes—
163C23×C3×C5C2411yescharacteristic
164C22×D15—22no—
165C22×D15—22no—
166C22×D15—22no—
167C22×D15C2412yes—
168C22×C3×D5—22no—
169C22×C3×D5—22no—
170C22×C3×D5—22no—
171C22×C3×D5C2412yes—
172C3×C5×D4C2×D4116yescomplemented
173C2×C3×C4×C5C2×D414yes—
174C2×C3×C4×C5C2412yes—
175#1220—216no—
176C2×Dic15—24no—
177C2×Dic15—22no—
178C2×Dic15—216no—
179C2×Dic15C2414yes—
180C2×Dic15C2412yes—
181C4×D15—28no—
182Dic30—28no—
183C2×C5×Dic3—24no—
184C2×C5×Dic3—22no—
185C2×C5×Dic3—216no—
186C2×C5×Dic3#4114yescomplemented
187C2×C5×Dic3C2412yes—
188C2×C5×Dic3C2414yes—
189C2×C5×Dic3C2412yes—
190C3×C22⋊D5—216no—
191C2×C3×Dic5—24no—
192C2×C3×Dic5—22no—
193C2×C3×Dic5—216no—
194C2×C3×Dic5C2414yes—
195C2×C3×Dic5C2412yes—
196C3×C4×D5—28no—
197C3×Dic10—28no—
198#1202—28no—
199C2×C3×#41—58no—
200C2×C3×#41—108no—
201C22×C3×Q8—51no—
202C22×C3×D4—52no—
203C22×C3×D4C2×D511yescharacteristic
204C23×C3×C4—52no—
205C23×C3×C4—51no—
206C22×#67—52no—
207C22×#67—51no—
208C23×Dic3—52no—
209C23×Dic3C2×D512yes—
210C2×#237—58no—
211C2×#237—108no—
212C22×C4×D3—51no—
213C22×Dic6—51no—
214C2×#217—52no—
215C2×#217—51no—
216C2×#217C2×D512yes—
217#946—58no—
218#944—58no—
219#939—516no—
220#935—516no—
221D4×Dic3C2×D518yescomplemented
222#929—516no—
223C4×#67—58no—
224C2×(C2×D3)⋊C4—51no—
225C2×(C2×D3)⋊C4—52no—
226C2×C4⋊Dic3C2×D511yescharacteristic
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×Dic3C2×D511yescharacteristic
235C24×C5C22×D312yes—
236C23×D5—31no—
237C23×D5C22×D311yescharacteristic
238C2×C5×D4#6718yescomplemented
239C2×C5×D4C22×D314yes—
240C22×C4×C5—31no—
241C22×C4×C5—31no—
242C22×C4×C5—32no—
243C22×C4×C5—38no—
244C22×C4×C5—68no—
245C22×C4×C5C22×D311yescharacteristic
246C2×C22⋊D5—28no—
247C2×C22⋊D5—38no—
248C2×C22⋊D5—68no—
249C2×C22⋊D5C22×D318yes—
250C22×Dic5—28no—
251C22×Dic5—32no—
252C22×Dic5—31no—
253C22×Dic5—38no—
254C22×Dic5—68no—
255C22×Dic5C22×D312yes—
256C22×Dic5C22×D311yescharacteristic
257C22×Dic5C22×D318yes—
258#711—232no—
259#711—632no—
260C2×D20—34no—
261C2×D20—64no—
262C2×C4×D5—24no—
263C2×C4×D5—34no—
264C2×C4×D5—64no—
265C2×C4×D5C22×D314yes—
266C2×Dic10—24no—
267C2×Dic10—34no—
268C2×Dic10—64no—
269C2×Dic10C22×D314yes—
270C5×C4⋊C4—34no—
271C5×C22⋊C4—38no—
272C42×C5—34no—
273#685—34no—
274#685—38no—
275#685—34no—
276#685—38no—
277C4⋊Dic5—38no—
278C4⋊Dic5—38no—
279C4⋊Dic5—34no—
280C4⋊Dic5—38no—
281C4⋊Dic5—38no—
282C22×#41—51no—
283C22×#41—151no—
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—31no—
292C2×C4×D4—151no—
293C22×C4⋊C4—152no—
294C22×C3×C5—216no—
295C22×C3×C5—24no—
296C22×C3×C5—24no—
297C22×C3×C5C22×D418yes—
298C22×C3×C5C22×D412yes—
299C22×C3×C5C2×#4112yes—
300C22×C3×C52−1+412yes—
301C22×C3×C5C2511yescharacteristic
302C2×D15—22no—
303C2×D15—22no—
304C2×D15—22no—
305C2×D15—44no—
306C2×C3×D5—22no—
307C2×C3×D5—22no—
308C2×C3×D5—22no—
309C2×C3×D5—44no—
310C3×C4×C5C22×D414yes—
311Dic15—24no—
312Dic15—22no—
313C3×Dic5—24no—
314C3×Dic5—22no—
315C5×Dic3—24no—
316C5×Dic3—22no—
317C5×Dic3C2×#4114yescomplemented
318C24×C3—51no—
319C24×C3C22×D512yes—
320C23×D3—51no—
321C3×#41—1032no—
322C2×C3×Q8—54no—
323C2×C3×Q8—104no—
324C2×C3×D4—58no—
325C2×C3×D4—108no—
326C2×C3×D4D2018yescomplemented
327C2×C3×D4C22×D514yes—
328C22×C3×C4—51no—
329C22×C3×C4—52no—
330C22×C3×C4—58no—
331C22×C3×C4—54no—
332C22×C3×C4—108no—
333C22×C3×C4—104no—
334C22×C3×C4C22×D511yescharacteristic
335C2×#67—58no—
336C2×#67—54no—
337C2×#67—108no—
338C2×#67—104no—
339C22×Dic3—28no—
340C22×Dic3—52no—
341C22×Dic3—51no—
342C22×Dic3—58no—
343C22×Dic3—108no—
344C22×Dic3C22×D511yescharacteristic
345C22×Dic3C22×D512yes—
346C22×Dic3C22×D518yes—
347C22×Dic3C22×D511yescharacteristic
348#237—1032no—
349C2×C4×D3—54no—
350C2×C4×D3—104no—
351C2×Dic6—54no—
352C2×Dic6—104no—
353#217—58no—
354#217—54no—
355#217C22×D518yes—
356(C2×D3)⋊C4—54no—
357(C2×D3)⋊C4—58no—
358C4⋊Dic3C22×D514yes—
359Dic3⋊C4—54no—
360Dic3⋊C4—58no—
361Dic3⋊C4—58no—
362Dic3⋊C4—58no—
363Dic3⋊C4—58no—
364C4×Dic3C22×D514yes—
365C23×C5—24no—
366C23×C5—24no—
367C23×C5C2×#6718yes—
368C23×C5C23×D314yes—
369C23×C5C23×D311yescharacteristic
370C22×D5—22no—
371C22×D5—22no—
372C22×D5—22no—
373C22×D5—32no—
374C22×D5—62no—
375C22×D5—62no—
376C22×D5—62no—
377C22×D5C23×D312yes—
378C5×D4C2×#67116yescomplemented
379C2×C4×C5—34no—
380C2×C4×C5—32no—
381C2×C4×C5—32no—
382C2×C4×C5—34no—
383C2×C4×C5—616no—
384C2×C4×C5—64no—
385C2×C4×C5—62no—
386C2×C4×C5C2×#6714yes—
387C2×C4×C5C23×D312yes—
388C22⋊D5—216no—
389C22⋊D5—616no—
390C2×Dic5—24no—
391C2×Dic5—22no—
392C2×Dic5—216no—
393C2×Dic5—34no—
394C2×Dic5—32no—
395C2×Dic5—64no—
396C2×Dic5—62no—
397C2×Dic5—616no—
398C2×Dic5C23×D314yes—
399C2×Dic5C23×D312yes—
400D20—68no—
401C4×D5—28no—
402C4×D5—68no—
403Dic10—28no—
404Dic10—68no—
405C2×#41—58no—
406C2×#41—108no—
407C2×#41—158no—
408C2×#41—308no—
409C22×Q8—51no—
410C22×Q8—151no—
411C22×D4—52no—
412C22×D4—151no—
413C22×D4—152no—
414C22×D4D3×D511yescharacteristic
415C23×C4—32no—
416C23×C4—52no—
417C23×C4—51no—
418C23×C4—152no—
419C23×C4—151no—
420C4⋊Q8—158no—
421#123—1516no—
422#123—1516no—
423C22⋊Q8—158no—
424C22⋊Q8—158no—
425#121—1516no—
426C4×D4—38no—
427C4×D4—158no—
428C2×C4⋊C4—31no—
429C2×C4⋊C4—151no—
430C2×C4⋊C4—152no—
431C2×C4⋊C4—152no—
432C2×C4⋊C4—152no—
433C2×C4⋊C4—1516no—
434C2×C4⋊C4—152no—
435C2×C22⋊C4—32no—
436C2×C22⋊C4—151no—
437C2×C22⋊C4—152no—
438C2×C22⋊C4—151no—
439C2×C22⋊C4—152no—
440C2×C42—31no—
441C2×C3×C5—28no—
442C2×C3×C5#54714yescomplemented
443C2×C3×C5C23×D411yescharacteristic
444C2×C3×C5C22×#4111yescharacteristic
445C2×C3×C5C2×2−1+411yescharacteristic
446D15—42no—
447C3×D5—42no—
448C23×C3—24no—
449C23×C3—24no—
450C23×C3—52no—
451C23×C3—102no—
452C23×C3—102no—
453C23×C3—102no—
454C23×C3C2×D2018yes—
455C23×C3C23×D514yes—
456C23×C3C23×D511yescharacteristic
457C22×D3—52no—
458C22×D3—102no—
459C22×D3—102no—
460C22×D3—102no—
461C3×Q8—108no—
462C3×D4—1016no—
463C3×D4C2×D20116yescomplemented
464C2×C3×C4—52no—
465C2×C3×C4—54no—
466C2×C3×C4—102no—
467C2×C3×C4—104no—
468C2×C3×C4—1016no—
469C2×C3×C4—108no—
470C2×C3×C4C2×D2014yes—
471C2×C3×C4C23×D512yes—
472#67—1016no—
473#67—108no—
474C2×Dic3—24no—
475C2×Dic3—22no—
476C2×Dic3—216no—
477C2×Dic3—54no—
478C2×Dic3—52no—
479C2×Dic3—104no—
480C2×Dic3—102no—
481C2×Dic3—1016no—
482C2×Dic3#71114yescomplemented
483C2×Dic3C23×D512yes—
484C2×Dic3C23×D514yes—
485C2×Dic3C23×D512yes—
486C4×D3—108no—
487Dic6—108no—
488C22×C5—24no—
489C22×C5—24no—
490C22×C5—216no—
491C22×C5D3×#4112yes—
492C22×C5#101012yes—
493C22×C5C22×#6718yes—
494C22×C5C22×#6712yes—
495C22×C5C24×D311yescharacteristic
496C2×D5—22no—
497C2×D5—22no—
498C2×D5—22no—
499C2×D5—44no—
500C2×D5—62no—
501C2×D5—62no—
502C2×D5—62no—
503C2×D5—124no—
504C4×C5—34no—
505C4×C5—64no—
506C4×C5—62no—
507C4×C5C22×#6714yes—
508Dic5—24no—
509Dic5—22no—
510Dic5—64no—
511Dic5—62no—
512C24—51no—
513C24—151no—
514C24C2×D3×D512yes—
515#41—1032no—
516#41—3032no—
517C2×Q8—54no—
518C2×Q8—104no—
519C2×Q8—154no—
520C2×Q8—304no—
521C2×D4—58no—
522C2×D4—108no—
523C2×D4—154no—
524C2×D4—158no—
525C2×D4—304no—
526C2×D4—308no—
527C2×D4#120218yescomplemented
528C2×D4C2×D3×D514yes—
529C22×C4—31no—
530C22×C4—38no—
531C22×C4—31no—
532C22×C4—32no—
533C22×C4—58no—
534C22×C4—51no—
535C22×C4—52no—
536C22×C4—54no—
537C22×C4—68no—
538C22×C4—108no—
539C22×C4—104no—
540C22×C4—158no—
541C22×C4—151no—
542C22×C4—152no—
543C22×C4—154no—
544C22×C4—308no—
545C22×C4—304no—
546C22×C4C2×D3×D511yescharacteristic
547C4⋊C4—34no—
548C4⋊C4—154no—
549C4⋊C4—158no—
550C4⋊C4—158no—
551C4⋊C4—158no—
552C4⋊C4—158no—
553C22⋊C4—38no—
554C22⋊C4—154no—
555C22⋊C4—158no—
556C22⋊C4—154no—
557C22⋊C4—158no—
558C42—34no—
559C3×C5C2×#54711yescharacteristic, complemented, Hall
560C22×C3—216no—
561C22×C3—24no—
562C22×C3—24no—
563C22×C3—102no—
564C22×C3—102no—
565C22×C3—102no—
566C22×C3—204no—
567C22×C3C22×D2018yes—
568C22×C3C22×D2012yes—
569C22×C3C2×#71112yes—
570C22×C3#415012yes—
571C22×C3C24×D511yescharacteristic
572C2×D3—102no—
573C2×D3—102no—
574C2×D3—102no—
575C2×D3—204no—
576C3×C4—102no—
577C3×C4—104no—
578C3×C4C22×D2014yes—
579Dic3—24no—
580Dic3—22no—
581Dic3—104no—
582Dic3—102no—
583Dic3C2×#71114yescomplemented
584C2×C5—28no—
585C2×C5#582414yescomplemented
586C2×C5C2×D3×#4111yescharacteristic
587C2×C5C2×#101011yescharacteristic
588C2×C5C23×#6711yescharacteristic
589D5—42no—
590D5—122no—
591C23—24no—
592C23—24no—
593C23—52no—
594C23—102no—
595C23—102no—
596C23—102no—
597C23—152no—
598C23—302no—
599C23—302no—
600C23—302no—
601C23C2×#120218yes—
602C23C22×D3×D514yes—
603C23C22×D3×D511yescharacteristic
604Q8—108no—
605Q8—308no—
606D4—1016no—
607D4—308no—
608D4—3016no—
609D4C2×#1202116yescomplemented
610C2×C4—34no—
611C2×C4—32no—
612C2×C4—32no—
613C2×C4—34no—
614C2×C4—52no—
615C2×C4—54no—
616C2×C4—616no—
617C2×C4—62no—
618C2×C4—64no—
619C2×C4—102no—
620C2×C4—104no—
621C2×C4—1016no—
622C2×C4—108no—
623C2×C4—152no—
624C2×C4—154no—
625C2×C4—302no—
626C2×C4—304no—
627C2×C4—3016no—
628C2×C4—308no—
629C2×C4C2×#120214yes—
630C2×C4C22×D3×D512yes—
631C2×C3—28no—
632C2×C3—202no—
633C2×C3#6588914yescomplemented
634C2×C3C23×D2011yescharacteristic
635C2×C3C22×#71111yescharacteristic
636C2×C3C2×#415011yescharacteristic
637D3—202no—
638C5C2×#582411yescharacteristic, complemented, Sylow
639C22—216no—
640C22—24no—
641C22—24no—
642C22—102no—
643C22—102no—
644C22—102no—
645C22—204no—
646C22—302no—
647C22—302no—
648C22—302no—
649C22—604no—
650C22#9202012yes—
651C22D3×#71112yes—
652C22C22×#120218yes—
653C22C22×#120212yes—
654C22C23×D3×D511yescharacteristic
655C4—34no—
656C4—62no—
657C4—64no—
658C4—102no—
659C4—104no—
660C4—302no—
661C4—304no—
662C4C22×#120214yes—
663C3C2×#6588911yescharacteristic, complemented, Sylow
664C2—28no—
665C2—202no—
666C2—602no—
667C2#1175497214yesdirect product factor
668C2C2×#9202011yescharacteristic
669C2C2×D3×#71111yescharacteristic
670C2C23×#120211yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC22×C3×C5×D4C22
socleC23×C3×C5C24
hypercenterC22×D4D3×D5
hypocenterC3×C5C2×#547
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C22×#6819C2semidirect
2. C22×C3×#711C2semidirect
3. C2×C5×D4×Dic3C2semidirect
4. C2×#91569C2semidirect
5. C2×#91546C2semidirect
6. C22×Dic3⋊Dic5C2semidirect
7. C2×#91537C2semidirect
8. #11754972C2direct (N × H)
9. C2×C4×#1202C2semidirect
10. C2×#91390C2semidirect
11. C2×#91389C2semidirect
12. C2×#91360C2semidirect
18. C2×#6819C22semidirect
25. C2×C3×#711C22semidirect
30. C5×D4×Dic3C22semidirect
33. #91569C22semidirect
34. #91546C22semidirect
40. C2×Dic3⋊Dic5C22semidirect
43. #91537C22semidirect
46. C4×#1202C22semidirect
47. #91390C22semidirect
48. #91389C22semidirect
49. #91360C22semidirect
52. C22×#711D3semidirect
66. C2×C3×C5×D4D4semidirect
117. C2×D4×Dic3D5semidirect
131. C2×#711C2×D3semidirect
172. C3×C5×D4C2×D4semidirect
186. C2×C5×Dic3#41semidirect
221. D4×Dic3C2×D5semidirect
238. C2×C5×D4#67semidirect
317. C5×Dic3C2×#41semidirect
326. C2×C3×D4D20semidirect
378. C5×D4C2×#67semidirect
442. C2×C3×C5#547semidirect
463. C3×D4C2×D20semidirect
482. C2×Dic3#711semidirect
527. C2×D4#1202semidirect
559. C3×C5C2×#547semidirect
583. Dic3C2×#711semidirect
585. C2×C5#5824semidirect
609. D4C2×#1202semidirect
633. C2×C3#65889semidirect
638. C5C2×#5824semidirect
663. C3C2×#65889semidirect
667. C2#11754972direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#68192
C22×C3×#7112
C2×C5×D4×Dic32
C2×#915692
C2×#915462
C22×Dic3⋊Dic52
C2×#915372
#117549722
C2×C4×#12022
C2×#913902
C2×#913892
C2×#913602
C2×#658893
C2×#58245