Finite Group Databasebeta

← C2×#11754348 #14480553

Subgroups — C2×#11754348 #14480553

Order 1920.

3024 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×C5×#235C211yesmaximal, characteristic
2C22×D3×Dic10C211yesmaximal, characteristic, complemented
3C2×#91813C211yesmaximal, characteristic, complemented
4C2×C3×#4070C211yesmaximal, characteristic, complemented
5C2×#91555C212yesmaximal, complemented
6C2×#91525C212yesmaximal, complemented
7#11754348C2116yesmaximal, direct product factor
8C2×#91423C212yesmaximal, complemented
9C2×#91369C211yesmaximal, characteristic, complemented
10C2×#91365C211yesmaximal, characteristic, complemented
11C2×#91338C211yesmaximal, characteristic, complemented
12C2×#91329C212yesmaximal, complemented
13C2×#66159—31nomaximal, Hall
14C23×C3×C4×C5C2211yescharacteristic
15C22×Dic30C2211yescharacteristic
16C22×C5×#67C2211yescharacteristic
17C22×C5×#67C2211yescharacteristic
18C2×C5×#235—28no—
19C2×C5×#235C2218yes—
20C22×C5×D12C2211yescharacteristic
21C22×C4×C5×D3C2211yescharacteristic
22C22×C4×C5×D3C2211yescharacteristic
23C22×C5×Dic6C2211yescharacteristic
24C22×C3×Dic10C2211yescharacteristic
25C22×#1204C2212yes—
26C22×D3×Dic5C2212yes—
27C2×D3×Dic10—28no—
28C2×D3×Dic10C2218yescomplemented
29C2×#6719C2212yes—
30C2×C4⋊Dic15C2211yescharacteristic
31#91813C2218yescomplemented
32C2×#6712C2212yes—
33C2×C3×C22⋊Dic5C2212yes—
34C2×C3×C4⋊Dic5C2211yescharacteristic
35C3×#4070C2218yescomplemented
36C2×C3×#683C2212yes—
37#91555C22116yescomplemented
38C2×#6669C2212yes—
39C2×#6668C2212yes—
40C2×(C2×D3)⋊Dic5C2212yes—
41C2×(C2×D3)⋊Dic5C2212yes—
42C2×(C2×D3)⋊Dic5C2212yes—
43C2×Dic3×Dic5C2212yes—
44#91525C22116yescomplemented
45#91423C22116yescomplemented
46#91369C2218yescomplemented
47#91365C2218yescomplemented
48#91338C2218yescomplemented
49#91329C22116yescomplemented
50C2×#5628—51nomaximal, Hall
51C22×C5×#41—31no—
52C23×Dic10—31no—
53#66159—316no—
54C2×#4090—32no—
55C2×#4082—32no—
56C2×#4081—32no—
57C2×#4081—32no—
58C2×#4072—31no—
59C2×#4070—31no—
60C2×#4070—31no—
61C2×#4070—31no—
62C2×#4070D311yescharacteristic, complemented
63C24×C3×C5C2311yescharacteristic
64C23×C5×D3C2311yescharacteristic
65C23×C5×D3C2311yescharacteristic
66C22×C3×C4×C5—24no—
67C22×C3×C4×C5C2311yescharacteristic
68C22×C3×C4×C5C2314yes—
69C22×C3×C4×C5C2311yescharacteristic
70C22×Dic15C2312yes—
71C22×Dic15C2312yes—
72C2×Dic30—24no—
73C2×Dic30C2314yes—
74C2×C5×#67—24no—
75C2×C5×#67—24no—
76C2×C5×#67C2314yes—
77C2×C5×#67C2314yes—
78C22×C5×Dic3C2311yescharacteristic
79C22×C5×Dic3C2311yescharacteristic
80C5×#235—232no—
81C2×C5×D12—24no—
82C2×C5×D12C2314yes—
83C2×C4×C5×D3—24no—
84C2×C4×C5×D3D418yes—
85C2×C4×C5×D3C2314yes—
86C2×C4×C5×D3C2314yes—
87C2×C5×Dic6—24no—
88C2×C5×Dic6C2314yes—
89C22×C3×Dic5C2312yes—
90C22×C3×Dic5C2312yes—
91C2×C3×Dic10—24no—
92C2×C3×Dic10C2314yes—
93C2×#1204—28no—
94C2×#1204C2318yes—
95C2×D3×Dic5—28no—
96C2×D3×Dic5C2318yes—
97D3×Dic10—232no—
98#6719C2318yes—
99C4⋊Dic15C2314yes—
100#6712C2318yes—
101C3×C22⋊Dic5C2318yes—
102C3×C4⋊Dic5C2314yes—
103C3×#683C2318yes—
104#6669C2318yes—
105#6668C2318yes—
106(C2×D3)⋊Dic5C2318yes—
107(C2×D3)⋊Dic5C2318yes—
108(C2×D3)⋊Dic5C2318yes—
109Dic3×Dic5C2318yes—
110C22×D3×Q8—51no—
111C22×#235D511yescharacteristic
112C2×C3×C22⋊Q8—51no—
113C2×#946—51no—
114C2×#924—51no—
115#5628—516no—
116C2×#897—51no—
117C2×#894—52no—
118C2×#892—51no—
119C2×#888—52no—
120C2×#885—52no—
121C2×#883—52no—
122C2×C5×#41—38no—
123C2×C5×#41—68no—
124C22×C5×Q8—31no—
125C22×C5×D4—31no—
126C22×C5×D4—31no—
127C22×C5×D4—31no—
128C23×C4×C5—31no—
129C23×C4×C5—31no—
130C23×C4×C5C2×D311yescharacteristic
131C23×Dic5—32no—
132C22×Dic10—31no—
133C22×Dic10—32no—
134C22×Dic10—38no—
135C22×Dic10—68no—
136C22×Dic10C2×D311yescharacteristic
137C2×C22⋊Dic5—32no—
138C2×C22⋊Dic5—32no—
139C2×C22⋊Dic5—32no—
140C2×C22⋊Dic5—32no—
141C2×C22⋊Dic5C2×D312yes—
142#4090—316no—
143#4082—316no—
144#4081—316no—
145#4081—316no—
146#4072—38no—
147C2×C4⋊Dic5—31no—
148C2×C4⋊Dic5C2×D311yescharacteristic
149#4070—38no—
150#4070—38no—
151#4070—38no—
152#4070C2×D318yescomplemented
153C2×#683—32no—
154C2×#683—32no—
155C2×#683—32no—
156C2×#683C2×D312yes—
157C2×C4×Dic5—32no—
158C2×#536—151noSylow
159C23×C3×C5—22no—
160C23×C3×C5—22no—
161C23×C3×C5—22no—
162C23×C3×C5C2412yes—
163C23×C3×C5C2411yescharacteristic
164C22×C5×D3—22no—
165C22×C5×D3—22no—
166C22×C5×D3—22no—
167C22×C5×D3—22no—
168C22×C5×D3—22no—
169C22×C5×D3C2×D414yes—
170C22×C5×D3C2412yes—
171C22×C5×D3C2412yes—
172C2×C3×C4×C5—22no—
173C2×C3×C4×C5—28no—
174C2×C3×C4×C5C2×D414yes—
175C2×C3×C4×C5C2412yes—
176C2×C3×C4×C5C2412yes—
177C2×Dic15—24no—
178C2×Dic15—24no—
179C2×Dic15C2414yes—
180C2×Dic15C2414yes—
181Dic30—28no—
182C5×#67—28no—
183C5×#67—28no—
184C2×C5×Dic3—22no—
185C2×C5×Dic3C2×D414yes—
186C2×C5×Dic3C2412yes—
187C2×C5×Dic3C2412yes—
188C5×D12—28no—
189C4×C5×D3—28no—
190C4×C5×D3C2×D4116yes—
191C5×Dic6—28no—
192C2×C3×Dic5—24no—
193C2×C3×Dic5—24no—
194C2×C3×Dic5C2414yes—
195C2×C3×Dic5C2414yes—
196C3×Dic10—28no—
197#1204—216no—
198D3×Dic5—216no—
199C22×C3×Q8—51no—
200C23×C3×C4C2×D511yescharacteristic
201C22×#67C2×D511yescharacteristic
202C22×#67C2×D511yescharacteristic
203C2×D3×Q8—58no—
204C2×D3×Q8—108no—
205C2×#235—28no—
206C2×#235C2×D518yes—
207C22×D12C2×D511yescharacteristic
208C22×C4×D3—52no—
209C22×C4×D3C2×D511yescharacteristic
210C22×C4×D3C2×D511yescharacteristic
211C22×Dic6—51no—
212C22×Dic6—52no—
213C22×Dic6C2×D511yescharacteristic
214C3×C22⋊Q8—58no—
215C2×C3×C4⋊C4—52no—
216C2×C3×C4⋊C4—51no—
217C2×C3×C22⋊C4—52no—
218C2×#217—52no—
219#946—58no—
220C2×(C2×D3)⋊C4—52no—
221C2×(C2×D3)⋊C4—52no—
222C2×(C2×D3)⋊C4—52no—
223C2×C4⋊Dic3—51no—
224C2×C4⋊Dic3—52no—
225#924—58no—
226C2×Dic3⋊C4—52no—
227C2×Dic3⋊C4—52no—
228C2×C4×Dic3—52no—
229#897—58no—
230#894—516no—
231#892—58no—
232#888—516no—
233#885—516no—
234#883—516no—
235C24×C5—31no—
236C24×C5—31no—
237C24×C5C22×D311yescharacteristic
238C5×#41—632no—
239C2×C5×Q8—34no—
240C2×C5×Q8—64no—
241C2×C5×D4—34no—
242C2×C5×D4—34no—
243C2×C5×D4—34no—
244C2×C5×D4—64no—
245C2×C5×D4—64no—
246C2×C5×D4—64no—
247C22×C4×C5—24no—
248C22×C4×C5—31no—
249C22×C4×C5—38no—
250C22×C4×C5—34no—
251C22×C4×C5—31no—
252C22×C4×C5—34no—
253C22×C4×C5—64no—
254C22×C4×C5C22×D311yescharacteristic
255C22×C4×C5C22×D314yes—
256C22×C4×C5C22×D311yescharacteristic
257C22×Dic5—32no—
258C22×Dic5—32no—
259C22×Dic5—38no—
260C22×Dic5—68no—
261C22×Dic5C22×D312yes—
262C22×Dic5C22×D312yes—
263C2×Dic10—24no—
264C2×Dic10—34no—
265C2×Dic10—38no—
266C2×Dic10—632no—
267C2×Dic10—68no—
268C2×Dic10—64no—
269C2×Dic10C22×D314yes—
270C22⋊Dic5—38no—
271C22⋊Dic5—38no—
272C22⋊Dic5—38no—
273C22⋊Dic5—38no—
274C22⋊Dic5C22×D318yes—
275C4⋊Dic5—34no—
276C4⋊Dic5C22×D314yes—
277#683—38no—
278#683—38no—
279#683—38no—
280#683C22×D318yes—
281C4×Dic5—38no—
282C22×#41—31no—
283C23×Q8—151no—
284#536—1516no—
285C2×C4⋊Q8—152no—
286C2×#124—152no—
287C2×#123—152no—
288C2×#123—152no—
289C2×C22⋊Q8—51no—
290C2×C22⋊Q8—151no—
291C2×C22⋊Q8—151no—
292C2×C22⋊Q8—151no—
293C2×#117—151no—
294C22×C3×C5—22no—
295C22×C3×C5—22no—
296C22×C3×C5—22no—
297C22×C3×C5—44no—
298C22×C3×C5C22×D412yes—
299C22×C3×C52−1+412yes—
300C22×C3×C52−1+412yes—
301C22×C3×C5C2511yescharacteristic
302C2×C5×D3—28no—
303C2×C5×D3—22no—
304C2×C5×D3—22no—
305C2×C5×D3—22no—
306C2×C5×D3—22no—
307C2×C5×D3—22no—
308C2×C5×D3—44no—
309C2×C5×D3C22×D414yes—
310C3×C4×C5—22no—
311C3×C4×C5C22×D414yes—
312Dic15—24no—
313Dic15—24no—
314C3×Dic5—24no—
315C3×Dic5—24no—
316C5×Dic3—22no—
317C5×Dic3C22×D414yes—
318C24×C3C22×D511yescharacteristic
319C23×D3C22×D511yescharacteristic
320C23×D3C22×D511yescharacteristic
321C2×C3×Q8—54no—
322C2×C3×Q8—104no—
323C22×C3×C4—24no—
324C22×C3×C4—52no—
325C22×C3×C4—52no—
326C22×C3×C4C22×D511yescharacteristic
327C22×C3×C4C22×D514yes—
328C22×C3×C4C22×D511yescharacteristic
329C2×#67—24no—
330C2×#67—24no—
331C2×#67C22×D514yes—
332C2×#67C22×D514yes—
333C22×Dic3—52no—
334C22×Dic3—52no—
335C22×Dic3C22×D511yescharacteristic
336C22×Dic3C22×D511yescharacteristic
337D3×Q8—1032no—
338#235—232no—
339C2×D12—24no—
340C2×D12C22×D514yes—
341C2×C4×D3—24no—
342C2×C4×D3—58no—
343C2×C4×D3—108no—
344C2×C4×D3C22⋊D518yes—
345C2×C4×D3C22×D514yes—
346C2×C4×D3C22×D514yes—
347C2×Dic6—24no—
348C2×Dic6—54no—
349C2×Dic6—58no—
350C2×Dic6—104no—
351C2×Dic6—108no—
352C2×Dic6C22×D514yes—
353C3×C4⋊C4—58no—
354C3×C4⋊C4—54no—
355C3×C22⋊C4—58no—
356#217—58no—
357(C2×D3)⋊C4—58no—
358(C2×D3)⋊C4—58no—
359(C2×D3)⋊C4—58no—
360C4⋊Dic3—54no—
361C4⋊Dic3—58no—
362Dic3⋊C4—58no—
363Dic3⋊C4—58no—
364C4×Dic3—58no—
365C23×C5—22no—
366C23×C5—22no—
367C23×C5—22no—
368C23×C5—34no—
369C23×C5—32no—
370C23×C5—32no—
371C23×C5—62no—
372C23×C5—62no—
373C23×C5—62no—
374C23×C5—62no—
375C23×C5—62no—
376C23×C5C23×D312yes—
377C23×C5C23×D311yescharacteristic
378C5×Q8—68no—
379C5×D4—68no—
380C5×D4—68no—
381C5×D4—68no—
382C2×C4×C5—22no—
383C2×C4×C5—28no—
384C2×C4×C5—34no—
385C2×C4×C5—32no—
386C2×C4×C5—316no—
387C2×C4×C5—32no—
388C2×C4×C5—62no—
389C2×C4×C5—68no—
390C2×C4×C5D3×D414yes—
391C2×C4×C5C23×D312yes—
392C2×C4×C5C23×D312yes—
393C2×Dic5—24no—
394C2×Dic5—24no—
395C2×Dic5—34no—
396C2×Dic5—34no—
397C2×Dic5—616no—
398C2×Dic5—64no—
399C2×Dic5—64no—
400C2×Dic5C23×D314yes—
401C2×Dic5C23×D314yes—
402Dic10—28no—
403Dic10—616no—
404Dic10—68no—
405C2×#41—38no—
406C2×#41—68no—
407C22×Q8—31no—
408C22×Q8—51no—
409C22×Q8—152no—
410C22×Q8—158no—
411C22×Q8—151no—
412C22×Q8—308no—
413C22×D4—31no—
414C22×D4—31no—
415C22×D4—31no—
416C23×C4—31no—
417C23×C4—31no—
418C23×C4—152no—
419C23×C4D3×D511yescharacteristic
420C4⋊Q8—1516no—
421#124—1516no—
422#123—1516no—
423#123—1516no—
424C22⋊Q8—58no—
425C22⋊Q8—158no—
426C22⋊Q8—158no—
427C22⋊Q8—158no—
428#117—158no—
429C2×C4⋊C4—51no—
430C2×C4⋊C4—52no—
431C2×C4⋊C4—152no—
432C2×C4⋊C4—152no—
433C2×C4⋊C4—151no—
434C2×C4⋊C4—152no—
435C2×C22⋊C4—52no—
436C2×C22⋊C4—152no—
437C2×C22⋊C4—152no—
438C2×C22⋊C4—152no—
439C2×C22⋊C4—152no—
440C2×C42—152no—
441C2×C3×C5—42no—
442C2×C3×C5#53614yescomplemented
443C2×C3×C5C23×D411yescharacteristic
444C2×C3×C5C2×2−1+411yescharacteristic
445C2×C3×C5C2×2−1+411yescharacteristic
446C5×D3—24no—
447C5×D3—42no—
448C23×C3—22no—
449C23×C3—22no—
450C23×C3—22no—
451C23×C3C23×D512yes—
452C23×C3C23×D511yescharacteristic
453C22×D3—22no—
454C22×D3—22no—
455C22×D3—22no—
456C22×D3—22no—
457C22×D3—22no—
458C22×D3C2×C22⋊D514yes—
459C22×D3C23×D512yes—
460C22×D3C23×D512yes—
461C3×Q8—108no—
462C2×C3×C4—22no—
463C2×C3×C4—28no—
464C2×C3×C4—54no—
465C2×C3×C4—54no—
466C2×C3×C4—104no—
467C2×C3×C4—104no—
468C2×C3×C4C2×C22⋊D514yes—
469C2×C3×C4C23×D512yes—
470C2×C3×C4C23×D512yes—
471#67—28no—
472#67—28no—
473C2×Dic3—22no—
474C2×Dic3—54no—
475C2×Dic3—54no—
476C2×Dic3—104no—
477C2×Dic3—104no—
478C2×Dic3C2×C22⋊D514yes—
479C2×Dic3C23×D512yes—
480C2×Dic3C23×D512yes—
481D12—28no—
482C4×D3—28no—
483C4×D3—1016no—
484C4×D3C2×C22⋊D5116yes—
485Dic6—28no—
486Dic6—108no—
487Dic6—1016no—
488C22×C5—22no—
489C22×C5—22no—
490C22×C5—22no—
491C22×C5—34no—
492C22×C5—44no—
493C22×C5—62no—
494C22×C5—62no—
495C22×C5—68no—
496C22×C5—62no—
497C22×C5—62no—
498C22×C5—62no—
499C22×C5—124no—
500C22×C5C2×D3×D412yes—
501C22×C5#100712yes—
502C22×C5#101012yes—
503C22×C5C24×D311yescharacteristic
504C4×C5—22no—
505C4×C5—34no—
506C4×C5—62no—
507C4×C5C2×D3×D414yes—
508Dic5—24no—
509Dic5—24no—
510Dic5—64no—
511Dic5—64no—
512C24—31no—
513C24—31no—
514C24C2×D3×D511yescharacteristic
515#41—632no—
516C2×Q8—34no—
517C2×Q8—54no—
518C2×Q8—64no—
519C2×Q8—104no—
520C2×Q8—158no—
521C2×Q8—154no—
522C2×Q8—308no—
523C2×Q8—3032no—
524C2×Q8—304no—
525C2×D4—34no—
526C2×D4—34no—
527C2×D4—34no—
528C2×D4—64no—
529C2×D4—64no—
530C2×D4—64no—
531C22×C4—24no—
532C22×C4—31no—
533C22×C4—38no—
534C22×C4—34no—
535C22×C4—31no—
536C22×C4—34no—
537C22×C4—52no—
538C22×C4—52no—
539C22×C4—64no—
540C22×C4—158no—
541C22×C4—152no—
542C22×C4—152no—
543C22×C4—308no—
544C22×C4C2×D3×D514yes—
545C22×C4C2×D3×D511yescharacteristic
546C22×C4C2×D3×D511yescharacteristic
547C4⋊C4—54no—
548C4⋊C4—58no—
549C4⋊C4—158no—
550C4⋊C4—158no—
551C4⋊C4—154no—
552C4⋊C4—158no—
553C22⋊C4—58no—
554C22⋊C4—158no—
555C22⋊C4—158no—
556C22⋊C4—158no—
557C22⋊C4—158no—
558C42—158no—
559C3×C5C2×#53611yescharacteristic, complemented, Hall
560C22×C3—22no—
561C22×C3—22no—
562C22×C3—22no—
563C22×C3—44no—
564C22×C3#415012yes—
565C22×C3#415012yes—
566C22×C3C22×C22⋊D512yes—
567C22×C3C24×D511yescharacteristic
568C2×D3—28no—
569C2×D3—22no—
570C2×D3—22no—
571C2×D3—22no—
572C2×D3—22no—
573C2×D3—22no—
574C2×D3—44no—
575C2×D3C22×C22⋊D514yes—
576C3×C4—22no—
577C3×C4—104no—
578C3×C4—104no—
579C3×C4C22×C22⋊D514yes—
580Dic3—22no—
581Dic3—104no—
582Dic3—104no—
583Dic3C22×C22⋊D514yes—
584C2×C5—42no—
585C2×C5—64no—
586C2×C5—122no—
587C2×C5#562814yescomplemented
588C2×C5C22×D3×D411yescharacteristic
589C2×C5C2×#100711yescharacteristic
590C2×C5C2×#101011yescharacteristic
591C23—22no—
592C23—22no—
593C23—22no—
594C23—34no—
595C23—32no—
596C23—32no—
597C23—62no—
598C23—62no—
599C23—62no—
600C23—62no—
601C23—62no—
602C23C22×D3×D512yes—
603C23C22×D3×D511yescharacteristic
604Q8—68no—
605Q8—108no—
606Q8—3016no—
607Q8—308no—
608D4—68no—
609D4—68no—
610D4—68no—
611C2×C4—22no—
612C2×C4—28no—
613C2×C4—34no—
614C2×C4—32no—
615C2×C4—316no—
616C2×C4—32no—
617C2×C4—54no—
618C2×C4—54no—
619C2×C4—62no—
620C2×C4—68no—
621C2×C4—104no—
622C2×C4—104no—
623C2×C4—154no—
624C2×C4—154no—
625C2×C4—3016no—
626C2×C4—304no—
627C2×C4—304no—
628C2×C4D3×C22⋊D514yes—
629C2×C4C22×D3×D512yes—
630C2×C4C22×D3×D512yes—
631C2×C3—42no—
632C2×C3#6615914yescomplemented
633C2×C3C2×#415011yescharacteristic
634C2×C3C2×#415011yescharacteristic
635C2×C3C23×C22⋊D511yescharacteristic
636D3—24no—
637D3—42no—
638C5C2×#562811yescharacteristic, complemented, Sylow
639C22—22no—
640C22—22no—
641C22—22no—
642C22—34no—
643C22—44no—
644C22—68no—
645C22—62no—
646C22—62no—
647C22—62no—
648C22—62no—
649C22—62no—
650C22—124no—
651C22#9200112yes—
652C22#9200412yes—
653C22C2×D3×C22⋊D512yes—
654C22C23×D3×D511yescharacteristic
655C4—22no—
656C4—34no—
657C4—62no—
658C4—104no—
659C4—104no—
660C4—304no—
661C4—304no—
662C4C2×D3×C22⋊D514yes—
663C3C2×#6615911yescharacteristic, complemented, Sylow
664C2—42no—
665C2—64no—
666C2—122no—
667C2#1175434814yesdirect product factor
668C2C2×#9200111yescharacteristic
669C2C2×#9200411yescharacteristic
670C2C22×D3×C22⋊D511yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC23×C3×C4×C5C22
socleC23×C3×C5C24
prime radicalC22×C5×#235C2
hypercenterC23×C4D3×D5
hypocenterC3×C5C2×#536
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
2. C22×D3×Dic10C2semidirect
3. C2×#91813C2semidirect
4. C2×C3×#4070C2semidirect
5. C2×#91555C2semidirect
6. C2×#91525C2semidirect
7. #11754348C2direct (N × H)
8. C2×#91423C2semidirect
9. C2×#91369C2semidirect
10. C2×#91365C2semidirect
11. C2×#91338C2semidirect
12. C2×#91329C2semidirect
28. C2×D3×Dic10C22semidirect
31. #91813C22semidirect
35. C3×#4070C22semidirect
37. #91555C22semidirect
44. #91525C22semidirect
45. #91423C22semidirect
46. #91369C22semidirect
47. #91365C22semidirect
48. #91338C22semidirect
49. #91329C22semidirect
62. C2×#4070D3semidirect
152. #4070C2×D3semidirect
442. C2×C3×C5#536semidirect
559. C3×C5C2×#536semidirect
587. C2×C5#5628semidirect
632. C2×C3#66159semidirect
638. C5C2×#5628semidirect
663. C3C2×#66159semidirect
667. C2#11754348direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C5×#2352
C22×D3×Dic102
C2×#918132
C2×C3×#40702
C2×#915552
C2×#915252
#117543482
C2×#914232
C2×#913692
C2×#913652
C2×#913382
C2×#913292
C2×#661593
C2×#56285