Finite Group Databasebeta

← C2×#11754319 #14482865

Subgroups — C2×#11754319 #14482865

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
1C23×C3×Dic10C211yesmaximal, characteristic, complemented
2C22×#6768C211yesmaximal, characteristic, complemented
3C2×C4×#1220C211yesmaximal, characteristic, complemented
4C2×C5×#930C211yesmaximal, characteristic, complemented
5C2×#91566C212yesmaximal, complemented
6C2×Dic5×#67C212yesmaximal, complemented
7#11754319C2116yesmaximal, direct product factor
8C2×#91410C212yesmaximal, complemented
9C2×#91390C211yesmaximal, characteristic, complemented
10C2×#91370C211yesmaximal, characteristic, complemented
11C2×#91331C211yesmaximal, characteristic, complemented
12C2×#91326C212yesmaximal, complemented
13C2×#65932—31nomaximal, Hall
14C23×C3×C4×C5C2211yescharacteristic
15C22×#1220C2211yescharacteristic
16C22×C4×D15C2211yescharacteristic
17C22×C5×#67C2212yes—
18C22×C5×D12C2211yescharacteristic
19C23×C3×Dic5C2212yes—
20C22×C3×Dic10—28no—
21C22×C3×Dic10C2211yescharacteristic
22C22×C3×Dic10C2212yes—
23C22×C3×Dic10C2211yescharacteristic
24C22×C3×Dic10C2218yescomplemented
25C22×#1203C2212yes—
26C22×D3×Dic5C2212yes—
27C2×#6768—28no—
28C2×#6768C2218yescomplemented
29C2×#6719C2211yescharacteristic
30C4×#1220C2218yescomplemented
31C2×#6714C2211yescharacteristic
32C2×#6712C2211yescharacteristic
33C2×C4×Dic15C2211yescharacteristic
34C5×#930C2218yescomplemented
35C2×C5×(C2×D3)⋊C4C2212yes—
36C2×C5×C4⋊Dic3C2211yescharacteristic
37#91566C22116yescomplemented
38Dic5×#67C22116yescomplemented
39C2×Dic3⋊Dic5C2212yes—
40C2×#6668C2212yes—
41C2×#6667C2212yes—
42C2×(C2×D3)⋊Dic5C2212yes—
43C2×(C2×D3)⋊Dic5C2212yes—
44C2×Dic3×Dic5C2212yes—
45#91410C22116yescomplemented
46#91390C2218yescomplemented
47#91370C2218yescomplemented
48#91331C2218yescomplemented
49#91326C22116yescomplemented
50C2×#5817—51nomaximal, Hall
51C22×#711—31no—
52C23×Dic10D311yescharacteristic, complemented
53C2×C5×#121—31no—
54C2×#4085—32no—
55C2×#4082—31no—
56C2×D4×Dic5—32no—
57C2×C4×C22⋊D5—31no—
58#65932—316no—
59C2×#4043—31no—
60C2×#4033—31no—
61C2×#4031—32no—
62C2×#4024—32no—
63C24×C3×C5C2311yescharacteristic
64C23×D15C2311yescharacteristic
65C23×C5×D3C2312yes—
66C22×C3×C4×C5—24no—
67C22×C3×C4×C5C2311yescharacteristic
68C22×C3×C4×C5C2314yes—
69C22×C3×C4×C5C2311yescharacteristic
70C2×#1220—24no—
71C2×#1220C2314yes—
72C22×Dic15C2311yescharacteristic
73C22×Dic15C2311yescharacteristic
74C22×Dic15C2311yescharacteristic
75C2×C4×D15—24no—
76C2×C4×D15C2314yes—
77C2×C5×#67—28no—
78C2×C5×#67C2318yes—
79C22×C5×Dic3C2312yes—
80C2×C5×D12—24no—
81C2×C5×D12C2314yes—
82C22×C3×Dic5—28no—
83C22×C3×Dic5C2312yes—
84C22×C3×Dic5C2318yes—
85C22×C3×Dic5C2312yes—
86C2×C3×Dic10—24no—
87C2×C3×Dic10—28no—
88C2×C3×Dic10—232no—
89C2×C3×Dic10D418yescomplemented
90C2×C3×Dic10C2318yes—
91C2×C3×Dic10C2314yes—
92C2×C3×Dic10C2314yes—
93C2×#1203—28no—
94C2×#1203C2318yes—
95C2×D3×Dic5—28no—
96C2×D3×Dic5C2318yes—
97#6768—232no—
98#6719C2314yes—
99#6714C2314yes—
100#6712C2314yes—
101C4×Dic15C2314yes—
102C5×(C2×D3)⋊C4C2318yes—
103C5×C4⋊Dic3C2314yes—
104Dic3⋊Dic5C2318yes—
105#6668C2318yes—
106#6667C2318yes—
107(C2×D3)⋊Dic5C2318yes—
108(C2×D3)⋊Dic5C2318yes—
109Dic3×Dic5C2318yes—
110C23×C3×Q8—51no—
111C22×#239—51no—
112#5817—516no—
113C2×#947—51no—
114C2×#947—52no—
115C2×#946—52no—
116C2×#946—51no—
117C2×Q8×Dic3—51no—
118C2×#930—52no—
119C2×#930D511yescharacteristic, complemented
120C2×C4×#67—51no—
121C2×C4×#67—52no—
122C22×C5×D4—32no—
123C22×C5×D4—31no—
124C23×C4×C5C2×D311yescharacteristic
125C22×C22⋊D5—31no—
126C22×C22⋊D5—32no—
127C23×Dic5—32no—
128C23×Dic5C2×D312yes—
129C2×#711—38no—
130C2×#711—68no—
131C22×C4×D5—31no—
132C22×Dic10—28no—
133C22×Dic10C2×D312yes—
134C22×Dic10C2×D311yescharacteristic
135C22×Dic10C2×D311yescharacteristic
136C22×Dic10C2×D318yescomplemented
137C5×#121—38no—
138C2×C5×C4⋊C4—31no—
139C2×C5×C22⋊C4—32no—
140C2×C22⋊Dic5—31no—
141C2×C22⋊Dic5—32no—
142C2×C22⋊Dic5—32no—
143#4085—316no—
144#4082—38no—
145D4×Dic5—316no—
146C4×C22⋊D5—38no—
147C2×#685—31no—
148C2×#685—32no—
149C2×C4⋊Dic5—32no—
150C2×#683—31no—
151C2×#683—32no—
152C2×C4×Dic5—31no—
153C2×C4×Dic5—32no—
154#4043—38no—
155#4033—38no—
156#4031—316no—
157#4024—316no—
158C2×#548—151noSylow
159C23×C3×C5—22no—
160C23×C3×C5—22no—
161C23×C3×C5#4114yescomplemented
162C23×C3×C5C2412yes—
163C23×C3×C5C2411yescharacteristic
164C22×D15—22no—
165C22×D15—22no—
166C22×D15—22no—
167C22×D15C2412yes—
168C22×C5×D3—24no—
169C22×C5×D3—24no—
170C22×C5×D3—24no—
171C22×C5×D3C2414yes—
172C2×C3×C4×C5—22no—
173C2×C3×C4×C5—28no—
174C2×C3×C4×C5C2×D414yes—
175C2×C3×C4×C5C2412yes—
176C2×C3×C4×C5C2412yes—
177#1220—28no—
178C2×Dic15—22no—
179C2×Dic15—22no—
180C2×Dic15—22no—
181C2×Dic15C2412yes—
182C2×Dic15C2412yes—
183C2×Dic15C2412yes—
184C4×D15—28no—
185C5×#67—216no—
186C2×C5×Dic3—24no—
187C2×C5×Dic3C2414yes—
188C5×D12—28no—
189C2×C3×Dic5—24no—
190C2×C3×Dic5—216no—
191C2×C3×Dic5C2×D418yes—
192C2×C3×Dic5C2414yes—
193C2×C3×Dic5C2414yes—
194C3×Dic10—28no—
195C3×Dic10—216no—
196C3×Dic10C2×D4116yescomplemented
197#1203—216no—
198D3×Dic5—216no—
199C22×C3×Q8—51no—
200C22×C3×Q8—52no—
201C22×C3×Q8—51no—
202C22×C3×Q8—58no—
203C22×C3×Q8—108no—
204C23×C3×C4—52no—
205C23×C3×C4C2×D511yescharacteristic
206C22×#67—51no—
207C22×#67C2×D512yes—
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—58no—
216#947—516no—
217#946—516no—
218#946—58no—
219Q8×Dic3—58no—
220#930—516no—
221#930C2×D518yescomplemented
222C4×#67—58no—
223C4×#67—516no—
224C2×(C2×D3)⋊C4—52no—
225C2×(C2×D3)⋊C4—52no—
226C2×(C2×D3)⋊C4—51no—
227C2×(C2×D3)⋊C4—52no—
228C2×(C2×D3)⋊C4C2×D512yes—
229C2×C4⋊Dic3—52no—
230C2×C4⋊Dic3C2×D511yescharacteristic
231C2×Dic3⋊C4—51no—
232C2×Dic3⋊C4—52no—
233C2×C4×Dic3—51no—
234C2×C4×Dic3—52no—
235C24×C5—32no—
236C24×C5C22×D311yescharacteristic
237C23×D5—31no—
238C2×C5×D4—38no—
239C2×C5×D4—34no—
240C2×C5×D4—68no—
241C2×C5×D4—64no—
242C22×C4×C5—24no—
243C22×C4×C5—32no—
244C22×C4×C5C22×D311yescharacteristic
245C22×C4×C5C22×D314yes—
246C22×C4×C5C22×D311yescharacteristic
247C2×C22⋊D5—34no—
248C2×C22⋊D5—38no—
249C2×C22⋊D5—64no—
250C2×C22⋊D5—68no—
251C22×Dic5—28no—
252C22×Dic5—31no—
253C22×Dic5—31no—
254C22×Dic5—31no—
255C22×Dic5—38no—
256C22×Dic5—68no—
257C22×Dic5C22×D312yes—
258C22×Dic5C22×D318yes—
259C22×Dic5C22×D312yes—
260#711—632no—
261C2×C4×D5—34no—
262C2×C4×D5—64no—
263C2×Dic10—24no—
264C2×Dic10—28no—
265C2×Dic10—232no—
266C2×Dic10#6718yescomplemented
267C2×Dic10C22×D318yes—
268C2×Dic10C22×D314yes—
269C2×Dic10C22×D314yes—
270C5×C4⋊C4—34no—
271C5×C22⋊C4—38no—
272C22⋊Dic5—34no—
273C22⋊Dic5—38no—
274C22⋊Dic5—38no—
275#685—34no—
276#685—38no—
277C4⋊Dic5—38no—
278#683—34no—
279#683—38no—
280C4×Dic5—34no—
281C4×Dic5—38no—
282C22×#41—151no—
283C23×Q8—51no—
284#548—1516no—
285C2×#124—152no—
286C2×#124—151no—
287C2×C22⋊Q8—152no—
288C2×C22⋊Q8—151no—
289C2×#121—31no—
290C2×#121—152no—
291C2×C4×Q8—151no—
292C2×C4×D4—152no—
293C2×C4×D4—151no—
294C22×C3×C5—28no—
295C22×C3×C5—22no—
296C22×C3×C5—22no—
297C22×C3×C5C22×D412yes—
298C22×C3×C5C2×#4112yes—
299C22×C3×C5C2×#4114yescomplemented
300C22×C3×C52−1+412yes—
301C22×C3×C5C2511yescharacteristic
302C2×D15—22no—
303C2×D15—22no—
304C2×D15—22no—
305C2×D15—44no—
306C2×C5×D3—24no—
307C2×C5×D3—24no—
308C2×C5×D3—24no—
309C2×C5×D3—48no—
310C3×C4×C5—22no—
311C3×C4×C5C22×D414yes—
312Dic15—22no—
313Dic15—22no—
314Dic15—22no—
315C3×Dic5—24no—
316C3×Dic5C22×D418yes—
317C5×Dic3—24no—
318C24×C3C22×D511yescharacteristic
319C23×D3—51no—
320C23×D3C22×D512yes—
321C2×C3×Q8—58no—
322C2×C3×Q8—54no—
323C2×C3×Q8—58no—
324C2×C3×Q8—54no—
325C2×C3×Q8—108no—
326C2×C3×Q8—1032no—
327C2×C3×Q8—104no—
328C22×C3×C4—24no—
329C22×C3×C4—52no—
330C22×C3×C4—52no—
331C22×C3×C4—58no—
332C22×C3×C4—108no—
333C22×C3×C4C22×D511yescharacteristic
334C22×C3×C4C22×D514yes—
335C22×C3×C4C22×D511yescharacteristic
336C2×#67—28no—
337C2×#67—54no—
338C2×#67—104no—
339C2×#67C22×D518yes—
340C22×Dic3—51no—
341C22×Dic3—51no—
342C22×Dic3—51no—
343C22×Dic3C22×D512yes—
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)⋊C4—58no—
358(C2×D3)⋊C4C22×D518yes—
359C4⋊Dic3—58no—
360C4⋊Dic3C22×D514yes—
361Dic3⋊C4—54no—
362Dic3⋊C4—58no—
363C4×Dic3—54no—
364C4×Dic3—58no—
365C23×C5—22no—
366C23×C5—22no—
367C23×C5—34no—
368C23×C5—64no—
369C23×C5—64no—
370C23×C5—64no—
371C23×C5#23914yescomplemented
372C23×C5C23×D312yes—
373C23×C5C23×D311yescharacteristic
374C22×D5—32no—
375C22×D5—62no—
376C22×D5—62no—
377C22×D5—62no—
378C5×D4—616no—
379C5×D4—68no—
380C2×C4×C5—22no—
381C2×C4×C5—28no—
382C2×C4×C5—34no—
383C2×C4×C5—64no—
384C2×C4×C5C2×#6714yes—
385C2×C4×C5C23×D312yes—
386C2×C4×C5C23×D312yes—
387C22⋊D5—68no—
388C22⋊D5—616no—
389C2×Dic5—24no—
390C2×Dic5—216no—
391C2×Dic5—32no—
392C2×Dic5—32no—
393C2×Dic5—32no—
394C2×Dic5—62no—
395C2×Dic5—62no—
396C2×Dic5—62no—
397C2×Dic5—616no—
398C2×Dic5C2×#6718yes—
399C2×Dic5C23×D314yes—
400C2×Dic5C23×D314yes—
401C4×D5—68no—
402Dic10—28no—
403Dic10—216no—
404Dic10C2×#67116yescomplemented
405C2×#41—158no—
406C2×#41—308no—
407C22×Q8—51no—
408C22×Q8—52no—
409C22×Q8—51no—
410C22×Q8—58no—
411C22×Q8—108no—
412C22×D4—32no—
413C22×D4—31no—
414C22×D4—152no—
415C22×D4—151no—
416C23×C4—52no—
417C23×C4—152no—
418C23×C4—151no—
419C23×C4D3×D511yescharacteristic
420#124—1516no—
421#124—158no—
422C22⋊Q8—1516no—
423C22⋊Q8—158no—
424#121—38no—
425#121—1516no—
426C4×Q8—158no—
427C4×D4—1516no—
428C4×D4—158no—
429C2×C4⋊C4—31no—
430C2×C4⋊C4—152no—
431C2×C4⋊C4—152no—
432C2×C4⋊C4—151no—
433C2×C22⋊C4—32no—
434C2×C22⋊C4—152no—
435C2×C22⋊C4—152no—
436C2×C22⋊C4—152no—
437C2×C22⋊C4—151no—
438C2×C22⋊C4—151no—
439C2×C42—152no—
440C2×C42—151no—
441C2×C3×C5—24no—
442C2×C3×C5#54814yescomplemented
443C2×C3×C5C23×D411yescharacteristic
444C2×C3×C5C22×#4111yescharacteristic
445C2×C3×C5C2×2−1+411yescharacteristic
446D15—42no—
447C5×D3—44no—
448C23×C3—22no—
449C23×C3—22no—
450C23×C3#71114yescomplemented
451C23×C3C23×D512yes—
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—516no—
462C3×Q8—1016no—
463C3×Q8—108no—
464C2×C3×C4—22no—
465C2×C3×C4—28no—
466C2×C3×C4—58no—
467C2×C3×C4—54no—
468C2×C3×C4—54no—
469C2×C3×C4—1016no—
470C2×C3×C4—104no—
471C2×C3×C4D4×D514yes—
472C2×C3×C4C23×D512yes—
473C2×C3×C4C23×D512yes—
474#67—216no—
475#67—108no—
476C2×Dic3—24no—
477C2×Dic3—52no—
478C2×Dic3—52no—
479C2×Dic3—52no—
480C2×Dic3—102no—
481C2×Dic3—102no—
482C2×Dic3—102no—
483C2×Dic3C23×D514yes—
484D12—28no—
485D12—1016no—
486C4×D3—1016no—
487C4×D3—108no—
488C22×C5—22no—
489C22×C5—22no—
490C22×C5—28no—
491C22×C5—64no—
492C22×C5—64no—
493C22×C5—64no—
494C22×C5—128no—
495C22×C5C2×#23912yes—
496C22×C5C2×#23914yescomplemented
497C22×C5#100712yes—
498C22×C5C22×#6712yes—
499C22×C5C24×D311yescharacteristic
500C2×D5—62no—
501C2×D5—62no—
502C2×D5—62no—
503C2×D5—124no—
504C4×C5—22no—
505C4×C5—64no—
506C4×C5C22×#6714yes—
507Dic5—24no—
508Dic5—62no—
509Dic5—62no—
510Dic5—62no—
511Dic5C22×#6718yes—
512C24—32no—
513C24—151no—
514C24C2×D3×D511yescharacteristic
515#41—3032no—
516C2×Q8—58no—
517C2×Q8—54no—
518C2×Q8—58no—
519C2×Q8—54no—
520C2×Q8—108no—
521C2×Q8—1032no—
522C2×Q8—104no—
523C2×D4—38no—
524C2×D4—34no—
525C2×D4—68no—
526C2×D4—64no—
527C2×D4—158no—
528C2×D4—154no—
529C2×D4—308no—
530C2×D4—304no—
531C22×C4—24no—
532C22×C4—32no—
533C22×C4—52no—
534C22×C4—58no—
535C22×C4—52no—
536C22×C4—108no—
537C22×C4—158no—
538C22×C4—151no—
539C22×C4—151no—
540C22×C4—151no—
541C22×C4—154no—
542C22×C4—308no—
543C22×C4—304no—
544C22×C4C2×D3×D514yes—
545C22×C4C2×D3×D511yescharacteristic
546C22×C4C2×D3×D511yescharacteristic
547C4⋊C4—34no—
548C4⋊C4—158no—
549C4⋊C4—158no—
550C4⋊C4—154no—
551C22⋊C4—38no—
552C22⋊C4—158no—
553C22⋊C4—158no—
554C22⋊C4—158no—
555C22⋊C4—154no—
556C22⋊C4—154no—
557C42—158no—
558C42—154no—
559C3×C5C2×#54811yescharacteristic, complemented, Hall
560C22×C3—28no—
561C22×C3—22no—
562C22×C3—22no—
563C22×C3C2×D4×D512yes—
564C22×C3C2×#71112yes—
565C22×C3C2×#71114yescomplemented
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—22no—
577C3×C4—58no—
578C3×C4—104no—
579C3×C4C2×D4×D514yes—
580Dic3—24no—
581Dic3—102no—
582Dic3—102no—
583Dic3—102no—
584C2×C5—24no—
585C2×C5—124no—
586C2×C5#581714yescomplemented
587C2×C5C22×#23911yescharacteristic
588C2×C5C2×#100711yescharacteristic
589C2×C5C23×#6711yescharacteristic
590D5—122no—
591C23—22no—
592C23—22no—
593C23—34no—
594C23—64no—
595C23—64no—
596C23—64no—
597C23—152no—
598C23—302no—
599C23—302no—
600C23—302no—
601C23#676814yescomplemented
602C23C22×D3×D512yes—
603C23C22×D3×D511yescharacteristic
604Q8—516no—
605Q8—1016no—
606Q8—108no—
607D4—616no—
608D4—68no—
609D4—3016no—
610D4—308no—
611C2×C4—22no—
612C2×C4—28no—
613C2×C4—34no—
614C2×C4—58no—
615C2×C4—54no—
616C2×C4—54no—
617C2×C4—64no—
618C2×C4—1016no—
619C2×C4—104no—
620C2×C4—152no—
621C2×C4—152no—
622C2×C4—152no—
623C2×C4—3016no—
624C2×C4—302no—
625C2×C4—302no—
626C2×C4—302no—
627C2×C4—308no—
628C2×C4D5×#6714yes—
629C2×C4C22×D3×D512yes—
630C2×C4C22×D3×D512yes—
631C2×C3—24no—
632C2×C3#6593214yescomplemented
633C2×C3C22×D4×D511yescharacteristic
634C2×C3C22×#71111yescharacteristic
635C2×C3C2×#415011yescharacteristic
636D3—44no—
637D3—202no—
638C5C2×#581711yescharacteristic, complemented, Sylow
639C22—22no—
640C22—28no—
641C22—22no—
642C22—64no—
643C22—64no—
644C22—64no—
645C22—128no—
646C22—302no—
647C22—302no—
648C22—302no—
649C22—604no—
650C22C2×#676812yes—
651C22C2×#676814yescomplemented
652C22#9200412yes—
653C22C2×D5×#6712yes—
654C22C23×D3×D511yescharacteristic
655C4—22no—
656C4—58no—
657C4—64no—
658C4—104no—
659C4—302no—
660C4—302no—
661C4—302no—
662C4C2×D5×#6714yes—
663C3C2×#6593211yescharacteristic, complemented, Sylow
664C2—24no—
665C2—124no—
666C2—602no—
667C2#1175431914yesdirect product factor
668C2C22×#676811yescharacteristic
669C2C2×#9200411yescharacteristic
670C2C22×D5×#6711yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC23×C3×C4×C5C22
socleC23×C3×C5C24
hypercenterC23×C4D3×D5
hypocenterC3×C5C2×#548
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C23×C3×Dic10C2semidirect
2. C22×#6768C2semidirect
3. C2×C4×#1220C2semidirect
4. C2×C5×#930C2semidirect
5. C2×#91566C2semidirect
6. C2×Dic5×#67C2semidirect
7. #11754319C2direct (N × H)
8. C2×#91410C2semidirect
9. C2×#91390C2semidirect
10. C2×#91370C2semidirect
11. C2×#91331C2semidirect
12. C2×#91326C2semidirect
24. C22×C3×Dic10C22semidirect
28. C2×#6768C22semidirect
30. C4×#1220C22semidirect
34. C5×#930C22semidirect
37. #91566C22semidirect
38. Dic5×#67C22semidirect
45. #91410C22semidirect
46. #91390C22semidirect
47. #91370C22semidirect
48. #91331C22semidirect
49. #91326C22semidirect
52. C23×Dic10D3semidirect
89. C2×C3×Dic10D4semidirect
119. C2×#930D5semidirect
136. C22×Dic10C2×D3semidirect
161. C23×C3×C5#41semidirect
196. C3×Dic10C2×D4semidirect
221. #930C2×D5semidirect
266. C2×Dic10#67semidirect
299. C22×C3×C5C2×#41semidirect
371. C23×C5#239semidirect
404. Dic10C2×#67semidirect
442. C2×C3×C5#548semidirect
450. C23×C3#711semidirect
496. C22×C5C2×#239semidirect
559. C3×C5C2×#548semidirect
565. C22×C3C2×#711semidirect
586. C2×C5#5817semidirect
601. C23#6768semidirect
632. C2×C3#65932semidirect
638. C5C2×#5817semidirect
651. C22C2×#6768semidirect
663. C3C2×#65932semidirect
667. C2#11754319direct (N × H)

Maximal subgroups

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

subgroupindex
C23×C3×Dic102
C22×#67682
C2×C4×#12202
C2×C5×#9302
C2×#915662
C2×Dic5×#672
#117543192
C2×#914102
C2×#913902
C2×#913702
C2×#913312
C2×#913262
C2×#659323
C2×#58175