Finite Group Databasebeta

← C2×#11755226 #14482883

Subgroups — C2×#11755226 #14482883

Order 1920.

3240 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×Q8×D5C211yesmaximal, characteristic, complemented
2C22×#6768C211yesmaximal, characteristic, complemented
3C2×#91835C211yesmaximal, characteristic, complemented
4C2×C5×#947C211yesmaximal, characteristic, complemented
5#11755226C2116yesmaximal, direct product factor
6C2×#91449C211yesmaximal, characteristic, complemented
7C2×#91448C212yesmaximal, complemented
8C2×C4×#1202C211yesmaximal, characteristic, complemented
9C2×#91440C212yesmaximal, complemented
10C2×#91410C212yesmaximal, complemented
11C2×Dic3×Dic10C211yesmaximal, characteristic, complemented
12C2×#91326C212yesmaximal, complemented
13C2×#66011—31nomaximal, Hall
14C22×C3×C5×Q8C2211yescharacteristic
15C22×C4×D15C2211yescharacteristic
16C22×C5×D12C2211yescharacteristic
17C2×C3×Q8×D5—28no—
18C2×C3×Q8×D5C2218yescomplemented
19C22×C3×C4×D5C2212yes—
20C22×C3×C4×D5C2211yescharacteristic
21C22×C3×Dic10C2212yes—
22C22×C3×Dic10C2211yescharacteristic
23C22×#1203C2212yes—
24C22×#1202C2211yescharacteristic
25C22×#1201C2212yes—
26C22×D3×Dic5C2212yes—
27C2×#6768—28no—
28C2×#6768C2218yescomplemented
29#91835C2218yescomplemented
30C2×#6714C2212yes—
31C2×C4⋊Dic15C2211yescharacteristic
32C2×#6712C2212yes—
33C5×#947C2218yescomplemented
34C2×C5×(C2×D3)⋊C4C2212yes—
35C2×C5×(C2×D3)⋊C4C2212yes—
36C2×C4×C5×Dic3C2211yescharacteristic
37C2×Dic3⋊Dic5C2211yescharacteristic
38C2×#6668C2212yes—
39C2×#6667C2211yescharacteristic
40C2×(C2×D3)⋊Dic5C2212yes—
41C2×#6665C2211yescharacteristic
42C2×Dic3×Dic5C2212yes—
43#91449C2218yescomplemented
44#91448C22116yescomplemented
45C4×#1202C2218yescomplemented
46#91440C22116yescomplemented
47#91410C22116yescomplemented
48Dic3×Dic10C2218yescomplemented
49#91326C22116yescomplemented
50C2×#5817—51nomaximal, Hall
51C22×Q8×D5D311yescharacteristic, complemented
52C22×#711—31no—
53C2×C5×#124—31no—
54C2×#4092—31no—
55C2×#4084—31no—
56#66011—316no—
57C2×#4031—32no—
58C2×#4030—32no—
59C2×#4027—32no—
60C2×#4024—32no—
61C2×C4×D20—31no—
62C2×C4×Dic10—31no—
63C23×D15C2311yescharacteristic
64C23×C5×D3C2312yes—
65C23×C3×D5C2311yescharacteristic
66C2×C3×C5×Q8—24no—
67C2×C3×C5×Q8C2314yes—
68C22×C3×C4×C5C2312yes—
69C22×C3×C4×C5C2311yescharacteristic
70C22×Dic15C2312yes—
71C22×Dic15C2311yescharacteristic
72C2×C4×D15—24no—
73C2×C4×D15C2314yes—
74C22×C5×Dic3C2311yescharacteristic
75C22×C5×Dic3C2311yescharacteristic
76C2×C5×D12—24no—
77C2×C5×D12C2314yes—
78C22×C3×Dic5C2311yescharacteristic
79C22×C3×Dic5C2312yes—
80C3×Q8×D5—232no—
81C2×C3×C4×D5—24no—
82C2×C3×C4×D5—28no—
83C2×C3×C4×D5C2318yes—
84C2×C3×C4×D5C2314yes—
85C2×C3×Dic10—28no—
86C2×C3×Dic10D418yescomplemented
87C2×C3×Dic10C2318yes—
88C2×C3×Dic10C2314yes—
89C2×#1203—28no—
90C2×#1203C2318yes—
91C2×#1202—24no—
92C2×#1202C2314yes—
93C2×#1201—28no—
94C2×#1201C2318yes—
95C2×D3×Dic5—28no—
96C2×D3×Dic5C2318yes—
97#6768—232no—
98#6714C2318yes—
99C4⋊Dic15C2314yes—
100#6712C2318yes—
101C5×(C2×D3)⋊C4C2318yes—
102C5×(C2×D3)⋊C4C2318yes—
103C4×C5×Dic3C2314yes—
104Dic3⋊Dic5C2314yes—
105#6668C2318yes—
106#6667C2314yes—
107(C2×D3)⋊Dic5C2318yes—
108#6665C2314yes—
109Dic3×Dic5C2318yes—
110C23×C3×Q8—51no—
111C22×#239—51no—
112#5817—516no—
113C2×#947—52no—
114C2×#947D511yescharacteristic, complemented
115C2×#946—51no—
116C2×#946—52no—
117C2×Q8×Dic3—51no—
118C2×#930—51no—
119C2×#930—52no—
120C2×C4×#67—52no—
121C2×C4×#67—51no—
122C22×C5×Q8C2×D311yescharacteristic
123C22×C5×D4—31no—
124C22×C22⋊D5—32no—
125C22×C22⋊D5—32no—
126C23×Dic5—32no—
127C2×Q8×D5—28no—
128C2×Q8×D5C2×D318yescomplemented
129C2×#711—38no—
130C2×#711—68no—
131C22×D20—31no—
132C22×C4×D5—31no—
133C22×C4×D5C2×D311yescharacteristic
134C22×C4×D5C2×D312yes—
135C22×Dic10C2×D312yes—
136C22×Dic10C2×D311yescharacteristic
137C5×#124—38no—
138C2×C5×C22⋊C4—32no—
139C2×C5×C22⋊C4—32no—
140C2×C42×C5—31no—
141C2×C22⋊Dic5—32no—
142#4092—38no—
143#4084—38no—
144C2×#685—31no—
145C2×#685—32no—
146C2×#685—31no—
147C2×C4⋊Dic5—31no—
148C2×C4⋊Dic5—31no—
149C2×#683—32no—
150C2×#683—32no—
151C2×C4×Dic5—32no—
152#4031—316no—
153#4030—316no—
154#4027—316no—
155#4024—316no—
156C4×D20—38no—
157C4×Dic10—38no—
158C2×#548—151noSylow
159C23×C3×C5C2411yescharacteristic
160C22×D15—22no—
161C22×D15—22no—
162C22×D15—22no—
163C22×D15C2412yes—
164C22×C5×D3—24no—
165C22×C5×D3—24no—
166C22×C5×D3—24no—
167C22×C5×D3C2414yes—
168C22×C3×D5—22no—
169C22×C3×D5—22no—
170C22×C3×D5#4114yescomplemented
171C22×C3×D5C2412yes—
172C3×C5×Q8—28no—
173C2×C3×C4×C5—24no—
174C2×C3×C4×C5C2×D414yes—
175C2×C3×C4×C5C2414yes—
176C2×C3×C4×C5C2412yes—
177C2×Dic15—22no—
178C2×Dic15—24no—
179C2×Dic15C2414yes—
180C2×Dic15C2412yes—
181C4×D15—28no—
182C2×C5×Dic3—22no—
183C2×C5×Dic3—22no—
184C2×C5×Dic3C2412yes—
185C2×C5×Dic3C2412yes—
186C5×D12—28no—
187C2×C3×Dic5—22no—
188C2×C3×Dic5C2×D418yes—
189C2×C3×Dic5C2412yes—
190C2×C3×Dic5C2414yes—
191C3×C4×D5—28no—
192C3×C4×D5—216no—
193C3×Dic10—216no—
194C3×Dic10C2×D4116yescomplemented
195#1203—216no—
196#1202—28no—
197#1201—216no—
198D3×Dic5—216no—
199C22×C3×Q8—58no—
200C22×C3×Q8—51no—
201C22×C3×Q8—52no—
202C22×C3×Q8—108no—
203C22×C3×Q8C2×D511yescharacteristic
204C23×C3×C4—52no—
205C23×C3×C4—51no—
206C22×#67—52no—
207C22×#67—51no—
208C2×#239—58no—
209C2×#239—108no—
210C22×D12—52no—
211C22×D12C2×D511yescharacteristic
212C22×C4×D3—52no—
213C22×C4×D3—51no—
214C2×#217—51no—
215#947—516no—
216#947C2×D518yescomplemented
217#946—58no—
218#946—516no—
219Q8×Dic3—58no—
220#930—58no—
221#930—516no—
222C4×#67—516no—
223C4×#67—58no—
224C2×(C2×D3)⋊C4—52no—
225C2×(C2×D3)⋊C4—52no—
226C2×(C2×D3)⋊C4—51no—
227C2×(C2×D3)⋊C4C2×D512yes—
228C2×(C2×D3)⋊C4C2×D512yes—
229C2×C4⋊Dic3—51no—
230C2×C4⋊Dic3—52no—
231C2×Dic3⋊C4—52no—
232C2×Dic3⋊C4—51no—
233C2×C4×Dic3—52no—
234C2×C4×Dic3C2×D511yescharacteristic
235C24×C5—32no—
236C23×D5—31no—
237C23×D5C22×D311yescharacteristic
238C2×C5×Q8—24no—
239C2×C5×Q8C22×D314yes—
240C2×C5×D4—34no—
241C2×C5×D4—64no—
242C22×C4×C5—31no—
243C22×C4×C5—31no—
244C22×C4×C5C22×D312yes—
245C22×C4×C5C22×D311yescharacteristic
246C2×C22⋊D5—38no—
247C2×C22⋊D5—38no—
248C2×C22⋊D5—68no—
249C2×C22⋊D5—68no—
250C22×Dic5—32no—
251C22×Dic5—31no—
252C22×Dic5—38no—
253C22×Dic5—68no—
254C22×Dic5C22×D311yescharacteristic
255C22×Dic5C22×D312yes—
256Q8×D5—232no—
257#711—632no—
258C2×D20—34no—
259C2×D20—64no—
260C2×C4×D5—24no—
261C2×C4×D5—28no—
262C2×C4×D5—34no—
263C2×C4×D5—64no—
264C2×C4×D5C22×D314yes—
265C2×C4×D5C22×D318yes—
266C2×Dic10—28no—
267C2×Dic10#6718yescomplemented
268C2×Dic10C22×D318yes—
269C2×Dic10C22×D314yes—
270C5×C22⋊C4—38no—
271C5×C22⋊C4—38no—
272C42×C5—34no—
273C22⋊Dic5—38no—
274#685—34no—
275#685—38no—
276#685—34no—
277C4⋊Dic5—34no—
278C4⋊Dic5—34no—
279#683—38no—
280#683—38no—
281C4×Dic5—38no—
282C22×#41—151no—
283C23×Q8—51no—
284#548—1516no—
285C2×#124—31no—
286C2×#124—152no—
287C2×C22⋊Q8—152no—
288C2×C22⋊Q8—151no—
289C2×#121—152no—
290C2×#121—151no—
291C2×C4×Q8—151no—
292C2×C4×D4—151no—
293C2×C4×D4—152no—
294C22×C3×C5C22×D412yes—
295C22×C3×C5C2×#4112yes—
296C22×C3×C52−1+412yes—
297C22×C3×C5C2511yescharacteristic
298C2×D15—22no—
299C2×D15—22no—
300C2×D15—22no—
301C2×D15—44no—
302C2×C5×D3—24no—
303C2×C5×D3—24no—
304C2×C5×D3—24no—
305C2×C5×D3—48no—
306C2×C3×D5—28no—
307C2×C3×D5—22no—
308C2×C3×D5—22no—
309C2×C3×D5C2×#4114yescomplemented
310C3×C4×C5—24no—
311C3×C4×C5C22×D414yes—
312Dic15—22no—
313Dic15—24no—
314C3×Dic5—22no—
315C3×Dic5C22×D418yes—
316C5×Dic3—22no—
317C5×Dic3—22no—
318C24×C3—51no—
319C23×D3—51no—
320C23×D3C22×D512yes—
321C2×C3×Q8—24no—
322C2×C3×Q8—58no—
323C2×C3×Q8—54no—
324C2×C3×Q8—58no—
325C2×C3×Q8—108no—
326C2×C3×Q8—1032no—
327C2×C3×Q8C22×D514yes—
328C22×C3×C4—52no—
329C22×C3×C4—51no—
330C22×C3×C4—58no—
331C22×C3×C4—54no—
332C22×C3×C4—108no—
333C22×C3×C4—104no—
334C22×C3×C4C22×D512yes—
335C22×C3×C4C22×D511yescharacteristic
336C2×#67—58no—
337C2×#67—54no—
338C2×#67—104no—
339C2×#67—108no—
340C22×Dic3—52no—
341C22×Dic3—51no—
342C22×Dic3C22×D511yescharacteristic
343C22×Dic3C22×D511yescharacteristic
344#239—1032no—
345C2×D12—24no—
346C2×D12—58no—
347C2×D12—108no—
348C2×D12C22×D514yes—
349C2×C4×D3—58no—
350C2×C4×D3—54no—
351C2×C4×D3—108no—
352C2×C4×D3—104no—
353#217—54no—
354(C2×D3)⋊C4—58no—
355(C2×D3)⋊C4—58no—
356(C2×D3)⋊C4—54no—
357(C2×D3)⋊C4C22×D518yes—
358(C2×D3)⋊C4C22×D518yes—
359C4⋊Dic3—54no—
360C4⋊Dic3—58no—
361Dic3⋊C4—58no—
362Dic3⋊C4—54no—
363C4×Dic3—58no—
364C4×Dic3C22×D514yes—
365C23×C5—34no—
366C23×C5—64no—
367C23×C5—64no—
368C23×C5—64no—
369C23×C5C23×D311yescharacteristic
370C22×D5—22no—
371C22×D5—22no—
372C22×D5—32no—
373C22×D5—62no—
374C22×D5—62no—
375C22×D5—62no—
376C22×D5#23914yescomplemented
377C22×D5C23×D312yes—
378C5×Q8—28no—
379C5×D4—68no—
380C2×C4×C5—24no—
381C2×C4×C5—32no—
382C2×C4×C5—32no—
383C2×C4×C5—62no—
384C2×C4×C5—62no—
385C2×C4×C5C2×#6714yes—
386C2×C4×C5C23×D314yes—
387C2×C4×C5C23×D312yes—
388C22⋊D5—616no—
389C22⋊D5—616no—
390C2×Dic5—22no—
391C2×Dic5—34no—
392C2×Dic5—32no—
393C2×Dic5—64no—
394C2×Dic5—62no—
395C2×Dic5—616no—
396C2×Dic5C2×#6718yes—
397C2×Dic5C23×D312yes—
398C2×Dic5C23×D314yes—
399D20—68no—
400C4×D5—28no—
401C4×D5—216no—
402C4×D5—68no—
403Dic10—216no—
404Dic10C2×#67116yescomplemented
405C2×#41—158no—
406C2×#41—308no—
407C22×Q8—58no—
408C22×Q8—51no—
409C22×Q8—52no—
410C22×Q8—108no—
411C22×Q8D3×D511yescharacteristic
412C22×D4—31no—
413C22×D4—151no—
414C22×D4—152no—
415C22×D4—152no—
416C23×C4—52no—
417C23×C4—51no—
418C23×C4—152no—
419C23×C4—151no—
420#124—38no—
421#124—1516no—
422C22⋊Q8—1516no—
423C22⋊Q8—158no—
424#121—1516no—
425#121—158no—
426C4×Q8—158no—
427C4×D4—158no—
428C4×D4—1516no—
429C2×C4⋊C4—151no—
430C2×C4⋊C4—152no—
431C2×C4⋊C4—152no—
432C2×C4⋊C4—151no—
433C2×C22⋊C4—32no—
434C2×C22⋊C4—32no—
435C2×C22⋊C4—151no—
436C2×C22⋊C4—151no—
437C2×C22⋊C4—152no—
438C2×C22⋊C4—152no—
439C2×C42—31no—
440C2×C42—152no—
441C2×C3×C5#54814yescomplemented
442C2×C3×C5C23×D411yescharacteristic
443C2×C3×C5C22×#4111yescharacteristic
444C2×C3×C5C2×2−1+411yescharacteristic
445D15—42no—
446C3×D5—24no—
447C5×D3—44no—
448C23×C3—54no—
449C23×C3—52no—
450C23×C3—102no—
451C23×C3—102no—
452C23×C3C23×D511yescharacteristic
453C22×D3—24no—
454C22×D3—24no—
455C22×D3—24no—
456C22×D3—52no—
457C22×D3—102no—
458C22×D3—102no—
459C22×D3—102no—
460C22×D3C23×D514yes—
461C3×Q8—28no—
462C3×Q8—516no—
463C3×Q8—1016no—
464C2×C3×C4—24no—
465C2×C3×C4—58no—
466C2×C3×C4—54no—
467C2×C3×C4—52no—
468C2×C3×C4—1016no—
469C2×C3×C4—102no—
470C2×C3×C4—108no—
471C2×C3×C4D4×D514yes—
472C2×C3×C4C23×D514yes—
473C2×C3×C4C23×D512yes—
474#67—108no—
475#67—1016no—
476C2×Dic3—22no—
477C2×Dic3—22no—
478C2×Dic3—54no—
479C2×Dic3—52no—
480C2×Dic3—102no—
481C2×Dic3—104no—
482C2×Dic3C23×D512yes—
483C2×Dic3C23×D512yes—
484D12—28no—
485D12—1016no—
486C4×D3—1016no—
487C4×D3—108no—
488C22×C5—64no—
489C22×C5—64no—
490C22×C5—64no—
491C22×C5—128no—
492C22×C5C2×#23912yes—
493C22×C5#100712yes—
494C22×C5C22×#6712yes—
495C22×C5C24×D311yescharacteristic
496C2×D5—22no—
497C2×D5—22no—
498C2×D5—28no—
499C2×D5—62no—
500C2×D5—62no—
501C2×D5—62no—
502C2×D5—124no—
503C2×D5C2×#23914yescomplemented
504C4×C5—24no—
505C4×C5—62no—
506C4×C5—62no—
507C4×C5C22×#6714yes—
508Dic5—22no—
509Dic5—64no—
510Dic5—62no—
511Dic5C22×#6718yes—
512C24—32no—
513C24—51no—
514C24—151no—
515#41—3032no—
516C2×Q8—24no—
517C2×Q8—58no—
518C2×Q8—54no—
519C2×Q8—58no—
520C2×Q8—108no—
521C2×Q8—1032no—
522C2×Q8C2×D3×D514yes—
523C2×D4—34no—
524C2×D4—64no—
525C2×D4—154no—
526C2×D4—158no—
527C2×D4—158no—
528C2×D4—308no—
529C2×D4—304no—
530C2×D4—308no—
531C22×C4—31no—
532C22×C4—31no—
533C22×C4—52no—
534C22×C4—51no—
535C22×C4—58no—
536C22×C4—54no—
537C22×C4—108no—
538C22×C4—104no—
539C22×C4—158no—
540C22×C4—152no—
541C22×C4—151no—
542C22×C4—154no—
543C22×C4—308no—
544C22×C4—304no—
545C22×C4C2×D3×D512yes—
546C22×C4C2×D3×D511yescharacteristic
547C4⋊C4—154no—
548C4⋊C4—158no—
549C4⋊C4—158no—
550C4⋊C4—154no—
551C22⋊C4—38no—
552C22⋊C4—38no—
553C22⋊C4—154no—
554C22⋊C4—154no—
555C22⋊C4—158no—
556C22⋊C4—158no—
557C42—34no—
558C42—158no—
559C3×C5C2×#54811yescharacteristic, complemented, Hall
560C22×C3—54no—
561C22×C3—108no—
562C22×C3—102no—
563C22×C3—102no—
564C22×C3C2×D4×D512yes—
565C22×C3D5×#4112yes—
566C22×C3#415012yes—
567C22×C3C24×D511yescharacteristic
568C2×D3—24no—
569C2×D3—24no—
570C2×D3—24no—
571C2×D3—48no—
572C2×D3—102no—
573C2×D3—102no—
574C2×D3—102no—
575C2×D3—204no—
576C3×C4—24no—
577C3×C4—58no—
578C3×C4—102no—
579C3×C4C2×D4×D514yes—
580Dic3—22no—
581Dic3—22no—
582Dic3—102no—
583Dic3—104no—
584C2×C5—124no—
585C2×C5#581714yescomplemented
586C2×C5C22×#23911yescharacteristic
587C2×C5C2×#100711yescharacteristic
588C2×C5C23×#6711yescharacteristic
589D5—24no—
590D5—122no—
591C23—34no—
592C23—54no—
593C23—52no—
594C23—64no—
595C23—64no—
596C23—64no—
597C23—102no—
598C23—102no—
599C23—152no—
600C23—302no—
601C23—302no—
602C23—302no—
603C23C22×D3×D511yescharacteristic
604Q8—28no—
605Q8—516no—
606Q8—1016no—
607D4—68no—
608D4—3016no—
609D4—308no—
610D4—3016no—
611C2×C4—24no—
612C2×C4—32no—
613C2×C4—32no—
614C2×C4—58no—
615C2×C4—54no—
616C2×C4—52no—
617C2×C4—62no—
618C2×C4—62no—
619C2×C4—1016no—
620C2×C4—102no—
621C2×C4—108no—
622C2×C4—154no—
623C2×C4—152no—
624C2×C4—3016no—
625C2×C4—304no—
626C2×C4—302no—
627C2×C4—308no—
628C2×C4D5×#6714yes—
629C2×C4C22×D3×D514yes—
630C2×C4C22×D3×D512yes—
631C2×C3—104no—
632C2×C3#6601114yescomplemented
633C2×C3C22×D4×D511yescharacteristic
634C2×C3C2×D5×#4111yescharacteristic
635C2×C3C2×#415011yescharacteristic
636D3—44no—
637D3—202no—
638C5C2×#581711yescharacteristic, complemented, Sylow
639C22—54no—
640C22—64no—
641C22—64no—
642C22—64no—
643C22—102no—
644C22—108no—
645C22—102no—
646C22—128no—
647C22—302no—
648C22—302no—
649C22—302no—
650C22—604no—
651C22#9203012yes—
652C22D5×#23912yes—
653C22C2×D5×#6712yes—
654C22C23×D3×D511yescharacteristic
655C4—24no—
656C4—58no—
657C4—62no—
658C4—62no—
659C4—102no—
660C4—302no—
661C4—304no—
662C4C2×D5×#6714yes—
663C3C2×#6601111yescharacteristic, complemented, Sylow
664C2—104no—
665C2—124no—
666C2—602no—
667C2#1175522614yesdirect product factor
668C2C2×#9203011yescharacteristic
669C2C2×D5×#23911yescharacteristic
670C2C22×D5×#6711yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC22×C3×C5×Q8C22
socleC23×C3×C5C24
hypercenterC22×Q8D3×D5
hypocenterC3×C5C2×#548
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C22×Q8

Complements

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

NH ≅ G/Ntype
1. C22×C3×Q8×D5C2semidirect
2. C22×#6768C2semidirect
3. C2×#91835C2semidirect
4. C2×C5×#947C2semidirect
5. #11755226C2direct (N × H)
6. C2×#91449C2semidirect
7. C2×#91448C2semidirect
8. C2×C4×#1202C2semidirect
9. C2×#91440C2semidirect
10. C2×#91410C2semidirect
11. C2×Dic3×Dic10C2semidirect
12. C2×#91326C2semidirect
18. C2×C3×Q8×D5C22semidirect
28. C2×#6768C22semidirect
29. #91835C22semidirect
33. C5×#947C22semidirect
43. #91449C22semidirect
44. #91448C22semidirect
45. C4×#1202C22semidirect
46. #91440C22semidirect
47. #91410C22semidirect
48. Dic3×Dic10C22semidirect
49. #91326C22semidirect
51. C22×Q8×D5D3semidirect
86. C2×C3×Dic10D4semidirect
114. C2×#947D5semidirect
128. C2×Q8×D5C2×D3semidirect
170. C22×C3×D5#41semidirect
194. C3×Dic10C2×D4semidirect
216. #947C2×D5semidirect
267. C2×Dic10#67semidirect
309. C2×C3×D5C2×#41semidirect
376. C22×D5#239semidirect
404. Dic10C2×#67semidirect
441. C2×C3×C5#548semidirect
503. C2×D5C2×#239semidirect
559. C3×C5C2×#548semidirect
585. C2×C5#5817semidirect
632. C2×C3#66011semidirect
638. C5C2×#5817semidirect
663. C3C2×#66011semidirect
667. C2#11755226direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×Q8×D52
C22×#67682
C2×#918352
C2×C5×#9472
#117552262
C2×#914492
C2×#914482
C2×C4×#12022
C2×#914402
C2×#914102
C2×Dic3×Dic102
C2×#913262
C2×#660113
C2×#58175