Finite Group Databasebeta

← C2×#11755156 #14482772

Subgroups — C2×#11755156 #14482772

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×#713C211yesmaximal, characteristic, complemented
2C22×#6765C211yesmaximal, characteristic, complemented
3C2×#91833C211yesmaximal, characteristic, complemented
4C2×C5×#946C211yesmaximal, characteristic, complemented
5#11755156C2116yesmaximal, direct product factor
6C2×#91447C212yesmaximal, complemented
7C2×C4×#1201C211yesmaximal, characteristic, complemented
8C2×#91434C211yesmaximal, characteristic, complemented
9C2×#91408C212yesmaximal, complemented
10C2×#91407C212yesmaximal, complemented
11C2×D5×Dic3⋊C4C212yesmaximal, complemented
12C2×#91360C211yesmaximal, characteristic, complemented
13C2×#65965—31nomaximal, Hall
14C22×C3×C5×Q8C2211yescharacteristic
15C22×Dic30C2211yescharacteristic
16C22×C4×C5×D3C2211yescharacteristic
17C2×C3×#713—28no—
18C2×C3×#713C2218yescomplemented
19C22×C3×D20C2212yes—
20C22×C3×D20C2211yescharacteristic
21C22×C3×C4×D5C2211yescharacteristic
22C22×C3×C4×D5C2212yes—
23C22×#1201C2211yescharacteristic
24C22×#1201C2212yes—
25C22×D5×Dic3C2212yes—
26C22×D5×Dic3C2212yes—
27C2×#6765—28no—
28C2×#6765C2218yescomplemented
29#91833C2218yescomplemented
30C2×#6712C2212yes—
31C2×#6712C2212yes—
32C2×C4×Dic15C2211yescharacteristic
33C5×#946C2218yescomplemented
34C2×C5×(C2×D3)⋊C4C2212yes—
35C2×C5×C4⋊Dic3C2211yescharacteristic
36C2×C5×Dic3⋊C4C2212yes—
37C2×Dic3⋊Dic5C2212yes—
38C2×#6669C2211yescharacteristic
39C2×(C2×D3)⋊Dic5C2211yescharacteristic
40C2×#6665C2212yes—
41C2×#6665C2211yescharacteristic
42C2×#6665C2212yes—
43#91447C22116yescomplemented
44C4×#1201C2218yescomplemented
45#91434C2218yescomplemented
46#91408C22116yescomplemented
47#91407C22116yescomplemented
48D5×Dic3⋊C4C22116yescomplemented
49#91360C2218yescomplemented
50C2×#5824—51nomaximal, Hall
51C22×#713D311yescharacteristic, complemented
52C22×#709—31no—
53C2×C5×C22⋊Q8—31no—
54C2×#4090—31no—
55C2×C4×C22⋊D5—31no—
56#65965—316no—
57C2×#4043—31no—
58C2×#4040—32no—
59C2×#4039—31no—
60C2×D5×C4⋊C4—32no—
61C2×#4030—32no—
62C2×#4029—32no—
63C23×C5×D3C2311yescharacteristic
64C23×C3×D5C2311yescharacteristic
65C23×C3×D5C2312yes—
66C2×C3×C5×Q8—24no—
67C2×C3×C5×Q8C2314yes—
68C22×C3×C4×C5C2312yes—
69C22×C3×C4×C5C2311yescharacteristic
70C22×Dic15C2312yes—
71C22×Dic15C2311yescharacteristic
72C22×Dic15C2311yescharacteristic
73C2×Dic30—24no—
74C2×Dic30C2314yes—
75C22×C5×Dic3C2311yescharacteristic
76C22×C5×Dic3C2312yes—
77C2×C4×C5×D3—24no—
78C2×C4×C5×D3C2314yes—
79C22×C3×Dic5C2311yescharacteristic
80C3×#713—232no—
81C2×C3×D20—28no—
82C2×C3×D20D418yescomplemented
83C2×C3×D20C2318yes—
84C2×C3×D20C2314yes—
85C2×C3×C4×D5—28no—
86C2×C3×C4×D5—24no—
87C2×C3×C4×D5C2318yes—
88C2×C3×C4×D5C2314yes—
89C2×#1201—28no—
90C2×#1201—24no—
91C2×#1201C2314yes—
92C2×#1201C2318yes—
93C2×D5×Dic3—28no—
94C2×D5×Dic3—28no—
95C2×D5×Dic3C2318yes—
96C2×D5×Dic3C2318yes—
97#6765—232no—
98#6712C2318yes—
99#6712C2318yes—
100C4×Dic15C2314yes—
101C5×(C2×D3)⋊C4C2318yes—
102C5×C4⋊Dic3C2314yes—
103C5×Dic3⋊C4C2318yes—
104Dic3⋊Dic5C2318yes—
105#6669C2314yes—
106(C2×D3)⋊Dic5C2314yes—
107#6665C2314yes—
108#6665C2318yes—
109#6665C2318yes—
110C22×C3×#41—51no—
111C22×#237—51no—
112#5824—516no—
113C2×#946D511yescharacteristic, complemented
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—
122C22×C5×Q8C2×D311yescharacteristic
123C23×C4×C5—31no—
124C22×C22⋊D5—32no—
125C22×C22⋊D5—31no—
126C2×#713—28no—
127C2×#713C2×D318yescomplemented
128C2×#709—38no—
129C2×#709—68no—
130C22×D20C2×D312yes—
131C22×D20C2×D311yescharacteristic
132C22×C4×D5—32no—
133C22×C4×D5—32no—
134C22×C4×D5C2×D312yes—
135C22×C4×D5C2×D311yescharacteristic
136C22×Dic10—31no—
137C5×C22⋊Q8—38no—
138C2×C5×C4⋊C4—32no—
139C2×C5×C4⋊C4—31no—
140C2×C5×C22⋊C4—32no—
141C2×C22⋊Dic5—31no—
142#4090—38no—
143C4×C22⋊D5—38no—
144C2×#685—32no—
145C2×#685—32no—
146C2×#685—31no—
147C2×C4⋊Dic5—32no—
148C2×#683—32no—
149C2×#683—32no—
150C2×#683—31no—
151C2×C4×Dic5—31no—
152#4043—38no—
153#4040—316no—
154#4039—38no—
155D5×C4⋊C4—316no—
156#4030—316no—
157#4029—316no—
158C2×#547—151noSylow
159C23×C3×C5C2411yescharacteristic
160C22×C5×D3—22no—
161C22×C5×D3—22no—
162C22×C5×D3—22no—
163C22×C5×D3C2412yes—
164C22×C3×D5—24no—
165C22×C3×D5—24no—
166C22×C3×D5—22no—
167C22×C3×D5—22no—
168C22×C3×D5—22no—
169C22×C3×D5C2×D418yes—
170C22×C3×D5C2412yes—
171C22×C3×D5C2414yes—
172C3×C5×Q8—28no—
173C2×C3×C4×C5—24no—
174C2×C3×C4×C5C2×D414yes—
175C2×C3×C4×C5C2414yes—
176C2×C3×C4×C5C2412yes—
177C2×Dic15—24no—
178C2×Dic15—22no—
179C2×Dic15#4114yescomplemented
180C2×Dic15C2412yes—
181C2×Dic15C2414yes—
182C2×Dic15C2412yes—
183Dic30—28no—
184C2×C5×Dic3—22no—
185C2×C5×Dic3—24no—
186C2×C5×Dic3C2414yes—
187C2×C5×Dic3C2412yes—
188C4×C5×D3—28no—
189C2×C3×Dic5—22no—
190C2×C3×Dic5C2412yes—
191C3×D20—216no—
192C3×D20C2×D4116yescomplemented
193C3×C4×D5—216no—
194C3×C4×D5—28no—
195#1201—216no—
196#1201—28no—
197D5×Dic3—216no—
198D5×Dic3—216no—
199C2×C3×#41—58no—
200C2×C3×#41—108no—
201C22×C3×Q8C2×D511yescharacteristic
202C22×C3×D4—51no—
203C22×C3×D4—52no—
204C23×C3×C4—52no—
205C23×C3×C4—51no—
206C22×#67—52no—
207C22×#67—51no—
208C23×Dic3—52no—
209C23×Dic3—52no—
210C2×#237—58no—
211C2×#237—108no—
212C22×C4×D3C2×D511yescharacteristic
213C22×Dic6—51no—
214C2×#217—52no—
215C2×#217—51no—
216C2×#217—52no—
217#946C2×D518yescomplemented
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)⋊C4C2×D512yes—
226C2×C4⋊Dic3C2×D511yescharacteristic
227#924—58no—
228C2×Dic3⋊C4—52no—
229C2×Dic3⋊C4—52no—
230C2×Dic3⋊C4—51no—
231C2×Dic3⋊C4—52no—
232C2×Dic3⋊C4—516no—
233C2×Dic3⋊C4C2×D512yes—
234C2×C4×Dic3—51no—
235C24×C5—31no—
236C23×D5C22×D311yescharacteristic
237C23×D5C22×D312yes—
238C2×C5×Q8—24no—
239C2×C5×Q8C22×D314yes—
240C22×C4×C5—32no—
241C22×C4×C5—31no—
242C22×C4×C5—34no—
243C22×C4×C5—64no—
244C22×C4×C5C22×D312yes—
245C22×C4×C5C22×D311yescharacteristic
246C2×C22⋊D5—38no—
247C2×C22⋊D5—34no—
248C2×C22⋊D5—64no—
249C2×C22⋊D5—68no—
250C22×Dic5—31no—
251C22×Dic5—31no—
252C22×Dic5—32no—
253C22×Dic5C22×D311yescharacteristic
254#713—232no—
255#709—632no—
256C2×D20—28no—
257C2×D20#6718yescomplemented
258C2×D20C22×D318yes—
259C2×D20C22×D314yes—
260C2×C4×D5—28no—
261C2×C4×D5—24no—
262C2×C4×D5—38no—
263C2×C4×D5—38no—
264C2×C4×D5—68no—
265C2×C4×D5—68no—
266C2×C4×D5C22×D318yes—
267C2×C4×D5C22×D314yes—
268C2×Dic10—34no—
269C2×Dic10—64no—
270C5×C4⋊C4—38no—
271C5×C4⋊C4—34no—
272C5×C22⋊C4—38no—
273C22⋊Dic5—34no—
274#685—38no—
275#685—38no—
276#685—34no—
277C4⋊Dic5—38no—
278#683—38no—
279#683—38no—
280#683—34no—
281C4×Dic5—34no—
282C22×#41—51no—
283C22×#41—151no—
284#547—1516no—
285C2×C4⋊Q8—151no—
286C2×#123—152no—
287C2×#123—152no—
288C2×C22⋊Q8—31no—
289C2×C22⋊Q8—151no—
290C2×#121—152no—
291C2×C4×D4—151no—
292C2×C4×D4—151no—
293C22×C4⋊C4—152no—
294C22×C3×C5C22×D412yes—
295C22×C3×C5C2×#4112yes—
296C22×C3×C52−1+412yes—
297C22×C3×C5C2511yescharacteristic
298C2×C5×D3—22no—
299C2×C5×D3—22no—
300C2×C5×D3—22no—
301C2×C5×D3—44no—
302C2×C3×D5—216no—
303C2×C3×D5—24no—
304C2×C3×D5—24no—
305C2×C3×D5—22no—
306C2×C3×D5—22no—
307C2×C3×D5—22no—
308C2×C3×D5—44no—
309C2×C3×D5C22×D418yes—
310C3×C4×C5—24no—
311C3×C4×C5C22×D414yes—
312Dic15—24no—
313Dic15—22no—
314Dic15C2×#4114yescomplemented
315C3×Dic5—22no—
316C5×Dic3—22no—
317C5×Dic3—24no—
318C24×C3—52no—
319C24×C3—51no—
320C23×D3C22×D511yescharacteristic
321C3×#41—1032no—
322C2×C3×Q8—24no—
323C2×C3×Q8C22×D514yes—
324C2×C3×D4—58no—
325C2×C3×D4—54no—
326C2×C3×D4—58no—
327C2×C3×D4—108no—
328C22×C3×C4—51no—
329C22×C3×C4—58no—
330C22×C3×C4—54no—
331C22×C3×C4—108no—
332C22×C3×C4—104no—
333C22×C3×C4C22×D512yes—
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—58no—
343C22×Dic3—58no—
344C22×Dic3—108no—
345C22×Dic3—108no—
346C22×Dic3C22×D511yescharacteristic
347C22×Dic3C22×D512yes—
348#237—1032no—
349C2×C4×D3—24no—
350C2×C4×D3C22×D514yes—
351C2×Dic6—54no—
352C2×Dic6—104no—
353#217—58no—
354#217—54no—
355#217—58no—
356(C2×D3)⋊C4—54no—
357(C2×D3)⋊C4C22×D518yes—
358C4⋊Dic3C22×D514yes—
359Dic3⋊C4—58no—
360Dic3⋊C4—58no—
361Dic3⋊C4—54no—
362Dic3⋊C4—58no—
363Dic3⋊C4C22×D518yes—
364C4×Dic3—54no—
365C23×C5—32no—
366C23×C5—62no—
367C23×C5—62no—
368C23×C5—62no—
369C23×C5C23×D311yescharacteristic
370C22×D5—24no—
371C22×D5—24no—
372C22×D5—22no—
373C22×D5—22no—
374C22×D5—22no—
375C22×D5C2×#6718yes—
376C22×D5C23×D312yes—
377C22×D5C23×D314yes—
378C5×Q8—28no—
379C2×C4×C5—24no—
380C2×C4×C5—32no—
381C2×C4×C5—34no—
382C2×C4×C5—64no—
383C2×C4×C5—62no—
384C2×C4×C5—68no—
385C2×C4×C5C2×#6714yes—
386C2×C4×C5C23×D314yes—
387C2×C4×C5C23×D312yes—
388C22⋊D5—68no—
389C22⋊D5—616no—
390C2×Dic5—22no—
391C2×Dic5—34no—
392C2×Dic5—32no—
393C2×Dic5—32no—
394C2×Dic5—34no—
395C2×Dic5—62no—
396C2×Dic5—64no—
397C2×Dic5C23×D312yes—
398D20—216no—
399D20C2×#67116yescomplemented
400C4×D5—216no—
401C4×D5—28no—
402C4×D5—616no—
403C4×D5—616no—
404Dic10—68no—
405C2×#41—58no—
406C2×#41—108no—
407C2×#41—158no—
408C2×#41—308no—
409C22×Q8—151no—
410C22×Q8D3×D511yescharacteristic
411C22×D4—51no—
412C22×D4—52no—
413C22×D4—151no—
414C22×D4—152no—
415C23×C4—31no—
416C23×C4—52no—
417C23×C4—51no—
418C23×C4—152no—
419C23×C4—152no—
420C4⋊Q8—158no—
421#123—1516no—
422#123—1516no—
423C22⋊Q8—38no—
424C22⋊Q8—158no—
425#121—1516no—
426C4×D4—158no—
427C4×D4—158no—
428C2×C4⋊C4—32no—
429C2×C4⋊C4—31no—
430C2×C4⋊C4—1516no—
431C2×C4⋊C4—151no—
432C2×C4⋊C4—152no—
433C2×C4⋊C4—152no—
434C2×C4⋊C4—152no—
435C2×C22⋊C4—32no—
436C2×C22⋊C4—152no—
437C2×C22⋊C4—151no—
438C2×C22⋊C4—152no—
439C2×C22⋊C4—151no—
440C2×C42—151no—
441C2×C3×C5#54714yescomplemented
442C2×C3×C5C23×D411yescharacteristic
443C2×C3×C5C22×#4111yescharacteristic
444C2×C3×C5C2×2−1+411yescharacteristic
445C3×D5—28no—
446C3×D5—42no—
447C5×D3—42no—
448C23×C3—58no—
449C23×C3—54no—
450C23×C3—52no—
451C23×C3—104no—
452C23×C3—104no—
453C23×C3—102no—
454C23×C3—102no—
455C23×C3—102no—
456C23×C3C23×D511yescharacteristic
457C22×D3—22no—
458C22×D3—22no—
459C22×D3—22no—
460C22×D3C23×D512yes—
461C3×Q8—28no—
462C3×D4—516no—
463C3×D4—1016no—
464C2×C3×C4—24no—
465C2×C3×C4—52no—
466C2×C3×C4—1016no—
467C2×C3×C4—102no—
468C2×C3×C4—108no—
469C2×C3×C4D4×D514yes—
470C2×C3×C4C23×D514yes—
471C2×C3×C4C23×D512yes—
472#67—108no—
473#67—1016no—
474C2×Dic3—22no—
475C2×Dic3—24no—
476C2×Dic3—54no—
477C2×Dic3—52no—
478C2×Dic3—52no—
479C2×Dic3—54no—
480C2×Dic3—1016no—
481C2×Dic3—1016no—
482C2×Dic3—104no—
483C2×Dic3—102no—
484C2×Dic3C23×D512yes—
485C2×Dic3C23×D514yes—
486C4×D3—28no—
487Dic6—108no—
488C22×C5—62no—
489C22×C5—62no—
490C22×C5—62no—
491C22×C5—124no—
492C22×C5D3×#4112yes—
493C22×C5#101012yes—
494C22×C5C22×#6712yes—
495C22×C5C24×D311yescharacteristic
496C2×D5—24no—
497C2×D5—24no—
498C2×D5—216no—
499C2×D5—22no—
500C2×D5—22no—
501C2×D5—22no—
502C2×D5—44no—
503C2×D5C22×#6718yes—
504C4×C5—24no—
505C4×C5—64no—
506C4×C5—62no—
507C4×C5C22×#6714yes—
508Dic5—22no—
509Dic5—34no—
510Dic5—62no—
511Dic5—64no—
512C24—31no—
513C24—52no—
514C24—51no—
515#41—1032no—
516#41—3032no—
517C2×Q8—24no—
518C2×Q8—154no—
519C2×Q8—304no—
520C2×Q8C2×D3×D514yes—
521C2×D4—58no—
522C2×D4—54no—
523C2×D4—58no—
524C2×D4—108no—
525C2×D4—154no—
526C2×D4—158no—
527C2×D4—304no—
528C2×D4—308no—
529C22×C4—32no—
530C22×C4—31no—
531C22×C4—34no—
532C22×C4—51no—
533C22×C4—58no—
534C22×C4—54no—
535C22×C4—64no—
536C22×C4—108no—
537C22×C4—104no—
538C22×C4—158no—
539C22×C4—158no—
540C22×C4—151no—
541C22×C4—151no—
542C22×C4—152no—
543C22×C4—308no—
544C22×C4—308no—
545C22×C4C2×D3×D512yes—
546C22×C4C2×D3×D511yescharacteristic
547C4⋊C4—38no—
548C4⋊C4—34no—
549C4⋊C4—154no—
550C4⋊C4—158no—
551C4⋊C4—158no—
552C4⋊C4—158no—
553C22⋊C4—38no—
554C22⋊C4—158no—
555C22⋊C4—154no—
556C22⋊C4—158no—
557C22⋊C4—154no—
558C42—154no—
559C3×C5C2×#54711yescharacteristic, complemented, Hall
560C22×C3—58no—
561C22×C3—1016no—
562C22×C3—104no—
563C22×C3—104no—
564C22×C3—102no—
565C22×C3—102no—
566C22×C3—102no—
567C22×C3—204no—
568C22×C3C2×D4×D512yes—
569C22×C3#414712yes—
570C22×C3D5×#4112yes—
571C22×C3C24×D511yescharacteristic
572C2×D3—22no—
573C2×D3—22no—
574C2×D3—22no—
575C2×D3—44no—
576C3×C4—24no—
577C3×C4—102no—
578C3×C4C2×D4×D514yes—
579Dic3—22no—
580Dic3—24no—
581Dic3—54no—
582Dic3—104no—
583Dic3—102no—
584C2×C5—122no—
585C2×C5#582414yescomplemented
586C2×C5C2×D3×#4111yescharacteristic
587C2×C5C2×#101011yescharacteristic
588C2×C5C23×#6711yescharacteristic
589D5—28no—
590D5—42no—
591C23—32no—
592C23—58no—
593C23—54no—
594C23—52no—
595C23—62no—
596C23—62no—
597C23—62no—
598C23—104no—
599C23—104no—
600C23—102no—
601C23—102no—
602C23—102no—
603C23C22×D3×D511yescharacteristic
604Q8—28no—
605Q8—308no—
606D4—516no—
607D4—1016no—
608D4—308no—
609D4—3016no—
610C2×C4—24no—
611C2×C4—34no—
612C2×C4—32no—
613C2×C4—52no—
614C2×C4—64no—
615C2×C4—62no—
616C2×C4—68no—
617C2×C4—1016no—
618C2×C4—102no—
619C2×C4—108no—
620C2×C4—154no—
621C2×C4—152no—
622C2×C4—152no—
623C2×C4—154no—
624C2×C4—3016no—
625C2×C4—3016no—
626C2×C4—302no—
627C2×C4—304no—
628C2×C4D5×#6714yes—
629C2×C4C22×D3×D514yes—
630C2×C4C22×D3×D512yes—
631C2×C3—108no—
632C2×C3—202no—
633C2×C3#6596514yescomplemented
634C2×C3C22×D4×D511yescharacteristic
635C2×C3C2×#414711yescharacteristic
636C2×C3C2×D5×#4111yescharacteristic
637D3—42no—
638C5C2×#582411yescharacteristic, complemented, Sylow
639C22—58no—
640C22—62no—
641C22—62no—
642C22—62no—
643C22—1016no—
644C22—104no—
645C22—104no—
646C22—102no—
647C22—102no—
648C22—102no—
649C22—124no—
650C22—204no—
651C22#9202812yes—
652C22#9203412yes—
653C22C2×D5×#6712yes—
654C22C23×D3×D511yescharacteristic
655C4—24no—
656C4—62no—
657C4—64no—
658C4—102no—
659C4—154no—
660C4—304no—
661C4—302no—
662C4C2×D5×#6714yes—
663C3C2×#6596511yescharacteristic, complemented, Sylow
664C2—108no—
665C2—122no—
666C2—202no—
667C2#1175515614yesdirect product factor
668C2C2×#9202811yescharacteristic
669C2C2×#9203411yescharacteristic
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×#547
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×#713C2semidirect
2. C22×#6765C2semidirect
3. C2×#91833C2semidirect
4. C2×C5×#946C2semidirect
5. #11755156C2direct (N × H)
6. C2×#91447C2semidirect
7. C2×C4×#1201C2semidirect
8. C2×#91434C2semidirect
9. C2×#91408C2semidirect
10. C2×#91407C2semidirect
11. C2×D5×Dic3⋊C4C2semidirect
12. C2×#91360C2semidirect
18. C2×C3×#713C22semidirect
28. C2×#6765C22semidirect
29. #91833C22semidirect
33. C5×#946C22semidirect
43. #91447C22semidirect
44. C4×#1201C22semidirect
45. #91434C22semidirect
46. #91408C22semidirect
47. #91407C22semidirect
48. D5×Dic3⋊C4C22semidirect
49. #91360C22semidirect
51. C22×#713D3semidirect
82. C2×C3×D20D4semidirect
113. C2×#946D5semidirect
127. C2×#713C2×D3semidirect
179. C2×Dic15#41semidirect
192. C3×D20C2×D4semidirect
217. #946C2×D5semidirect
257. C2×D20#67semidirect
314. Dic15C2×#41semidirect
399. D20C2×#67semidirect
441. C2×C3×C5#547semidirect
559. C3×C5C2×#547semidirect
585. C2×C5#5824semidirect
633. C2×C3#65965semidirect
638. C5C2×#5824semidirect
663. C3C2×#65965semidirect
667. C2#11755156direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#7132
C22×#67652
C2×#918332
C2×C5×#9462
#117551562
C2×#914472
C2×C4×#12012
C2×#914342
C2×#914082
C2×#914072
C2×D5×Dic3⋊C42
C2×#913602
C2×#659653
C2×#58245