Finite Group Databasebeta

← C2×#11754330 #14480060

Subgroups — C2×#11754330 #14480060

Order 1920.

3456 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×#6782C212yesmaximal, complemented
2C2×#91819C211yesmaximal, characteristic, complemented
3C2×C5×#930C211yesmaximal, characteristic, complemented
4C22×C3×C4×Dic5C211yesmaximal, characteristic, complemented
5C2×#91566C212yesmaximal, complemented
6C2×#91468C211yesmaximal, characteristic, complemented
7C2×#91451C211yesmaximal, characteristic, complemented
8C2×#91418C211yesmaximal, characteristic, complemented
9#11754330C2116yesmaximal, direct product factor
10C2×Dic5×D12C211yesmaximal, characteristic, complemented
11C2×#91405C212yesmaximal, complemented
12C2×#91350C212yesmaximal, complemented
13C2×#65930—31nomaximal, Hall
14C23×C3×C4×C5C2211yescharacteristic
15C22×#1220C2212yes—
16C22×D60C2211yescharacteristic
17C22×C5×#67C2212yes—
18C22×C5×D12C2211yescharacteristic
19C23×C3×Dic5C2211yescharacteristic
20C23×C3×Dic5C2211yescharacteristic
21C22×#1204C2212yes—
22C22×#1203C2212yes—
23C22×#1203C2212yes—
24C22×#1200C2212yes—
25C2×#6782—216no—
26C2×#6782C22116yescomplemented
27C22×D3×Dic5C2212yes—
28#91819C2218yescomplemented
29C2×#6714C2212yes—
30C2×C4⋊Dic15C2211yescharacteristic
31C5×#930C2218yescomplemented
32C2×C5×(C2×D3)⋊C4C2212yes—
33C2×C5×C4⋊Dic3C2211yescharacteristic
34C2×C3×C4×Dic5C2211yescharacteristic
35C2×C3×C4×Dic5C2211yescharacteristic
36C2×C3×C4×Dic5C2211yescharacteristic
37C2×C3×C4×Dic5C2211yescharacteristic
38C2×C3×C4×Dic5C2218yescomplemented
39#91566C22116yescomplemented
40C2×#6668C2212yes—
41C2×#6667C2212yes—
42C2×(C2×D3)⋊Dic5C2212yes—
43#91468C2218yescomplemented
44#91451C2218yescomplemented
45#91418C2218yescomplemented
46Dic5×D12C2218yescomplemented
47#91405C22116yescomplemented
48#91350C22116yescomplemented
49C2×#5477—51nomaximal, Hall
50C22×#711—32no—
51C2×C5×#121—31no—
52C2×#4086—31no—
53C2×#4085—32no—
54C2×D4×Dic5—31no—
55C2×#4076—31no—
56C22×C4×Dic5D311yescharacteristic, complemented
57#65930—316no—
58C2×#4039—31no—
59C2×#4034—31no—
60C2×#4031—32no—
61C2×#4027—32no—
62C24×C3×C5C2311yescharacteristic
63C23×D15C2312yes—
64C23×C5×D3C2312yes—
65C22×C3×C4×C5—24no—
66C22×C3×C4×C5C2311yescharacteristic
67C22×C3×C4×C5C2314yes—
68C22×C3×C4×C5C2311yescharacteristic
69C2×#1220—28no—
70C2×#1220C2318yes—
71C22×Dic15C2312yes—
72C2×D60—24no—
73C2×D60C2314yes—
74C2×C5×#67—28no—
75C2×C5×#67C2318yes—
76C22×C5×Dic3C2312yes—
77C2×C5×D12—24no—
78C2×C5×D12C2314yes—
79C22×C3×Dic5—24no—
80C22×C3×Dic5D418yescomplemented
81C22×C3×Dic5C2311yescharacteristic
82C22×C3×Dic5C2314yes—
83C22×C3×Dic5C2311yescharacteristic
84C22×C3×Dic5C2311yescharacteristic
85C22×C3×Dic5C2314yes—
86C22×C3×Dic5C2311yescharacteristic
87C2×#1204—28no—
88C2×#1204C2318yes—
89C2×#1203—28no—
90C2×#1203—28no—
91C2×#1203C2318yes—
92C2×#1203C2318yes—
93C2×#1200—28no—
94C2×#1200C2318yes—
95#6782—264no—
96C2×D3×Dic5—28no—
97C2×D3×Dic5C2318yes—
98#6714C2318yes—
99C4⋊Dic15C2314yes—
100C5×(C2×D3)⋊C4C2318yes—
101C5×C4⋊Dic3C2314yes—
102C3×C4×Dic5C2314yes—
103C3×C4×Dic5C2314yes—
104C3×C4×Dic5C2314yes—
105C3×C4×Dic5C2314yes—
106#6668C2318yes—
107#6667C2318yes—
108(C2×D3)⋊Dic5C2318yes—
109C22×#235—52no—
110C22×C3×C42—51no—
111C2×#930—51no—
112C2×#930—52no—
113C2×#930D511yescharacteristic, complemented
114#5477—516no—
115C2×#875—52no—
116C2×#874—51no—
117C2×C4×D12—51no—
118C2×C4×D12—52no—
119C2×C4×D12—51no—
120C2×#869—51no—
121C22×C5×D4—32no—
122C22×C5×D4—31no—
123C23×C4×C5C2×D311yescharacteristic
124C22×C22⋊D5—32no—
125C22×C22⋊D5—32no—
126C22×C22⋊D5—32no—
127C23×Dic5—32no—
128C23×Dic5C2×D311yescharacteristic
129C23×Dic5C2×D311yescharacteristic
130C2×#711—316no—
131C2×#711—616no—
132C22×D20—31no—
133C22×C4×D5—32no—
134C22×Dic10—32no—
135C5×#121—38no—
136C2×C5×C4⋊C4—31no—
137C2×C5×C22⋊C4—32no—
138C2×C22⋊Dic5—32no—
139#4086—38no—
140#4085—316no—
141D4×Dic5—38no—
142#4076—38no—
143C2×#685—32no—
144C2×#685—32no—
145C2×C4⋊Dic5—31no—
146C2×#683—32no—
147C2×C4×Dic5C2×D311yescharacteristic
148C2×C4×Dic5C2×D311yescharacteristic
149C2×C4×Dic5C2×D311yescharacteristic
150C2×C4×Dic5C2×D311yescharacteristic
151C2×C4×Dic5C2×D318yescomplemented
152#4039—38no—
153#4034—38no—
154#4031—316no—
155#4027—316no—
156C2×#532—151noSylow
157C23×C3×C5—22no—
158C23×C3×C5—22no—
159C23×C3×C5C2×D414yes—
160C23×C3×C5C2412yes—
161C23×C3×C5C2411yescharacteristic
162C22×D15—24no—
163C22×D15—24no—
164C22×D15—24no—
165C22×D15C2414yes—
166C22×C5×D3—24no—
167C22×C5×D3—24no—
168C22×C5×D3—24no—
169C22×C5×D3C2414yes—
170C2×C3×C4×C5—22no—
171C2×C3×C4×C5—28no—
172C2×C3×C4×C5#4114yescomplemented
173C2×C3×C4×C5C2412yes—
174C2×C3×C4×C5C2412yes—
175#1220—216no—
176C2×Dic15—24no—
177C2×Dic15C2414yes—
178D60—28no—
179C5×#67—216no—
180C2×C5×Dic3—24no—
181C2×C5×Dic3C2414yes—
182C5×D12—28no—
183C2×C3×Dic5—22no—
184C2×C3×Dic5—28no—
185C2×C3×Dic5C2×D414yes—
186C2×C3×Dic5C2×D414yes—
187C2×C3×Dic5C2×D4116yescomplemented
188C2×C3×Dic5#4114yescomplemented
189C2×C3×Dic5C2412yes—
190C2×C3×Dic5C2412yes—
191C2×C3×Dic5C2412yes—
192C2×C3×Dic5C2412yes—
193#1204—216no—
194#1203—216no—
195#1203—216no—
196#1200—216no—
197D3×Dic5—216no—
198C23×C3×C4—51no—
199C23×C3×C4—51no—
200C23×C3×C4C2×D511yescharacteristic
201C22×#67—52no—
202C22×#67C2×D512yes—
203C2×#235—516no—
204C2×#235—1016no—
205C22×D12—52no—
206C22×D12—52no—
207C22×D12—51no—
208C22×D12C2×D511yescharacteristic
209C22×C4×D3—52no—
210C22×C4×D3—52no—
211C22×Dic6—52no—
212C2×C3×C42—51no—
213C2×C3×C42—51no—
214C2×C3×C42—51no—
215C2×C3×C42—51no—
216C2×C3×C42—58no—
217#930—58no—
218#930—516no—
219#930C2×D518yescomplemented
220C2×(C2×D3)⋊C4—52no—
221C2×(C2×D3)⋊C4—52no—
222C2×(C2×D3)⋊C4—52no—
223C2×(C2×D3)⋊C4C2×D512yes—
224C2×C4⋊Dic3—51no—
225C2×C4⋊Dic3—52no—
226C2×C4⋊Dic3C2×D511yescharacteristic
227#875—516no—
228#874—58no—
229C4×D12—58no—
230C4×D12—516no—
231C4×D12—58no—
232#869—58no—
233C24×C5—32no—
234C24×C5C22×D311yescharacteristic
235C23×D5—32no—
236C2×C5×D4—38no—
237C2×C5×D4—34no—
238C2×C5×D4—68no—
239C2×C5×D4—64no—
240C22×C4×C5—24no—
241C22×C4×C5—32no—
242C22×C4×C5C22×D311yescharacteristic
243C22×C4×C5C22×D314yes—
244C22×C4×C5C22×D311yescharacteristic
245C2×C22⋊D5—38no—
246C2×C22⋊D5—38no—
247C2×C22⋊D5—38no—
248C2×C22⋊D5—68no—
249C2×C22⋊D5—68no—
250C2×C22⋊D5—68no—
251C22×Dic5—24no—
252C22×Dic5—32no—
253C22×Dic5—38no—
254C22×Dic5—68no—
255C22×Dic5D1218yescomplemented
256C22×Dic5C22×D311yescharacteristic
257C22×Dic5C22×D314yes—
258C22×Dic5C22×D311yescharacteristic
259C22×Dic5C22×D311yescharacteristic
260C22×Dic5C22×D314yes—
261C22×Dic5C22×D311yescharacteristic
262#711—664no—
263C2×D20—34no—
264C2×D20—64no—
265C2×C4×D5—38no—
266C2×C4×D5—68no—
267C2×Dic10—38no—
268C2×Dic10—68no—
269C5×C4⋊C4—34no—
270C5×C22⋊C4—38no—
271C22⋊Dic5—38no—
272#685—38no—
273#685—38no—
274C4⋊Dic5—34no—
275#683—38no—
276C4×Dic5C22×D314yes—
277C4×Dic5C22×D314yes—
278C4×Dic5C22×D314yes—
279C4×Dic5C22×D314yes—
280C22×#41—152no—
281#532—1516no—
282C2×C4⋊Q8—151no—
283C2×#127—151no—
284C2×#124—152no—
285C2×#121—31no—
286C2×#121—152no—
287C2×#121—151no—
288C2×C4×D4—152no—
289C2×C4×D4—151no—
290C2×C4×D4—151no—
291C22×C42—51no—
292C22×C3×C5—28no—
293C22×C3×C5—22no—
294C22×C3×C5—22no—
295C22×C3×C5C22×D414yes—
296C22×C3×C5C22×D412yes—
297C22×C3×C5C2×#4112yes—
298C22×C3×C5C2×#4112yes—
299C22×C3×C5C2511yescharacteristic
300C2×D15—24no—
301C2×D15—24no—
302C2×D15—24no—
303C2×D15—48no—
304C2×C5×D3—24no—
305C2×C5×D3—24no—
306C2×C5×D3—24no—
307C2×C5×D3—48no—
308C3×C4×C5—22no—
309C3×C4×C5C2×#4114yescomplemented
310Dic15—24no—
311C3×Dic5—22no—
312C3×Dic5C22×D414yes—
313C3×Dic5C22×D414yes—
314C3×Dic5C2×#4114yescomplemented
315C5×Dic3—24no—
316C24×C3C22×D511yescharacteristic
317C23×D3—52no—
318C23×D3C22×D512yes—
319C22×C3×C4—24no—
320C22×C3×C4—58no—
321C22×C3×C4—51no—
322C22×C3×C4—51no—
323C22×C3×C4—51no—
324C22×C3×C4—54no—
325C22×C3×C4—51no—
326C22×C3×C4—54no—
327C22×C3×C4—104no—
328C22×C3×C4C22×D511yescharacteristic
329C22×C3×C4C22×D514yes—
330C22×C3×C4C22×D511yescharacteristic
331C2×#67—28no—
332C2×#67—58no—
333C2×#67—108no—
334C2×#67C22×D518yes—
335C22×Dic3—52no—
336C22×Dic3C22×D512yes—
337#235—1064no—
338C2×D12—24no—
339C2×D12—58no—
340C2×D12—58no—
341C2×D12—54no—
342C2×D12—108no—
343C2×D12—108no—
344C2×D12—104no—
345C2×D12C22×D514yes—
346C2×C4×D3—58no—
347C2×C4×D3—58no—
348C2×C4×D3—108no—
349C2×C4×D3—108no—
350C2×Dic6—58no—
351C2×Dic6—108no—
352C3×C42—54no—
353C3×C42—54no—
354C3×C42—54no—
355C3×C42—54no—
356(C2×D3)⋊C4—58no—
357(C2×D3)⋊C4—58no—
358(C2×D3)⋊C4—58no—
359(C2×D3)⋊C4C22×D518yes—
360C4⋊Dic3—54no—
361C4⋊Dic3—58no—
362C4⋊Dic3C22×D514yes—
363C23×C5—22no—
364C23×C5—22no—
365C23×C5—34no—
366C23×C5—64no—
367C23×C5—64no—
368C23×C5—64no—
369C23×C5C2×D1214yes—
370C23×C5C23×D312yes—
371C23×C5C23×D311yescharacteristic
372C22×D5—34no—
373C22×D5—64no—
374C22×D5—64no—
375C22×D5—64no—
376C5×D4—616no—
377C5×D4—68no—
378C2×C4×C5—22no—
379C2×C4×C5—28no—
380C2×C4×C5—34no—
381C2×C4×C5—64no—
382C2×C4×C5#23514yescomplemented
383C2×C4×C5C23×D312yes—
384C2×C4×C5C23×D312yes—
385C22⋊D5—616no—
386C22⋊D5—616no—
387C22⋊D5—616no—
388C2×Dic5—22no—
389C2×Dic5—28no—
390C2×Dic5—34no—
391C2×Dic5—64no—
392C2×Dic5—616no—
393C2×Dic5C2×D1214yes—
394C2×Dic5C2×D1214yes—
395C2×Dic5C2×D12116yescomplemented
396C2×Dic5#23514yescomplemented
397C2×Dic5C23×D312yes—
398C2×Dic5C23×D312yes—
399C2×Dic5C23×D312yes—
400C2×Dic5C23×D312yes—
401D20—68no—
402C4×D5—616no—
403Dic10—616no—
404C2×#41—1516no—
405C2×#41—3016no—
406C22×Q8—152no—
407C22×D4—32no—
408C22×D4—31no—
409C22×D4—152no—
410C22×D4—152no—
411C22×D4—152no—
412C22×D4—151no—
413C23×C4—51no—
414C23×C4—51no—
415C23×C4—152no—
416C23×C4—152no—
417C23×C4D3×D511yescharacteristic
418C4⋊Q8—158no—
419#127—158no—
420#124—1516no—
421#121—38no—
422#121—1516no—
423#121—158no—
424C4×D4—1516no—
425C4×D4—158no—
426C4×D4—158no—
427C2×C4⋊C4—31no—
428C2×C4⋊C4—152no—
429C2×C4⋊C4—151no—
430C2×C22⋊C4—32no—
431C2×C22⋊C4—152no—
432C2×C22⋊C4—152no—
433C2×C22⋊C4—152no—
434C2×C42—51no—
435C2×C42—51no—
436C2×C42—51no—
437C2×C42—51no—
438C2×C42—58no—
439C2×C3×C5—24no—
440C2×C3×C5#53214yescomplemented
441C2×C3×C5C23×D411yescharacteristic
442C2×C3×C5C22×#4111yescharacteristic
443C2×C3×C5C22×#4111yescharacteristic
444D15—44no—
445C5×D3—44no—
446C23×C3—22no—
447C23×C3—22no—
448C23×C3D4×D514yes—
449C23×C3C23×D512yes—
450C23×C3C23×D511yescharacteristic
451C22×D3—24no—
452C22×D3—24no—
453C22×D3—24no—
454C22×D3—54no—
455C22×D3—104no—
456C22×D3—104no—
457C22×D3—104no—
458C22×D3C23×D514yes—
459C2×C3×C4—22no—
460C2×C3×C4—28no—
461C2×C3×C4—54no—
462C2×C3×C4—54no—
463C2×C3×C4—516no—
464C2×C3×C4—54no—
465C2×C3×C4—52no—
466C2×C3×C4—52no—
467C2×C3×C4—52no—
468C2×C3×C4—52no—
469C2×C3×C4—108no—
470C2×C3×C4—102no—
471C2×C3×C4#71114yescomplemented
472C2×C3×C4C23×D512yes—
473C2×C3×C4C23×D512yes—
474#67—216no—
475#67—1016no—
476C2×Dic3—24no—
477C2×Dic3—54no—
478C2×Dic3—104no—
479C2×Dic3C23×D514yes—
480D12—28no—
481D12—1016no—
482D12—1016no—
483D12—108no—
484C4×D3—1016no—
485C4×D3—1016no—
486Dic6—1016no—
487C22×C5—22no—
488C22×C5—22no—
489C22×C5—28no—
490C22×C5—64no—
491C22×C5—64no—
492C22×C5—64no—
493C22×C5—128no—
494C22×C5C22×D1214yes—
495C22×C5C22×D1212yes—
496C22×C5C2×#23512yes—
497C22×C5C2×#23512yes—
498C22×C5C24×D311yescharacteristic
499C2×D5—64no—
500C2×D5—64no—
501C2×D5—64no—
502C2×D5—128no—
503C4×C5—22no—
504C4×C5—64no—
505C4×C5C2×#23514yescomplemented
506Dic5—22no—
507Dic5—64no—
508Dic5C22×D1214yes—
509Dic5C22×D1214yes—
510Dic5C2×#23514yescomplemented
511C24—32no—
512C24—152no—
513C24C2×D3×D511yescharacteristic
514#41—3064no—
515C2×Q8—158no—
516C2×Q8—308no—
517C2×D4—38no—
518C2×D4—34no—
519C2×D4—68no—
520C2×D4—64no—
521C2×D4—158no—
522C2×D4—158no—
523C2×D4—158no—
524C2×D4—154no—
525C2×D4—308no—
526C2×D4—308no—
527C2×D4—308no—
528C2×D4—304no—
529C22×C4—24no—
530C22×C4—32no—
531C22×C4—58no—
532C22×C4—54no—
533C22×C4—51no—
534C22×C4—51no—
535C22×C4—51no—
536C22×C4—54no—
537C22×C4—51no—
538C22×C4—104no—
539C22×C4—158no—
540C22×C4—158no—
541C22×C4—152no—
542C22×C4—308no—
543C22×C4—308no—
544C22×C4C2×D3×D514yes—
545C22×C4C2×D3×D511yescharacteristic
546C22×C4C2×D3×D511yescharacteristic
547C4⋊C4—34no—
548C4⋊C4—158no—
549C4⋊C4—154no—
550C22⋊C4—38no—
551C22⋊C4—158no—
552C22⋊C4—158no—
553C22⋊C4—158no—
554C42—54no—
555C42—54no—
556C42—54no—
557C42—54no—
558C3×C5C2×#53211yescharacteristic, complemented, Hall
559C22×C3—28no—
560C22×C3—22no—
561C22×C3—22no—
562C22×C3C2×D4×D514yes—
563C22×C3C2×D4×D512yes—
564C22×C3C2×#71112yes—
565C22×C3D5×#4112yes—
566C22×C3C24×D511yescharacteristic
567C2×D3—24no—
568C2×D3—24no—
569C2×D3—24no—
570C2×D3—48no—
571C2×D3—104no—
572C2×D3—104no—
573C2×D3—104no—
574C2×D3—208no—
575C3×C4—22no—
576C3×C4—54no—
577C3×C4—54no—
578C3×C4—54no—
579C3×C4—102no—
580C3×C4C2×#71114yescomplemented
581Dic3—24no—
582Dic3—104no—
583C2×C5—24no—
584C2×C5—124no—
585C2×C5#547714yescomplemented
586C2×C5C23×D1211yescharacteristic
587C2×C5C22×#23511yescharacteristic
588C2×C5C22×#23511yescharacteristic
589D5—124no—
590C23—22no—
591C23—22no—
592C23—34no—
593C23—64no—
594C23—64no—
595C23—64no—
596C23—154no—
597C23—304no—
598C23—304no—
599C23—304no—
600C23D5×D1214yes—
601C23C22×D3×D512yes—
602C23C22×D3×D511yescharacteristic
603Q8—3016no—
604D4—616no—
605D4—68no—
606D4—3016no—
607D4—3016no—
608D4—3016no—
609D4—308no—
610C2×C4—22no—
611C2×C4—28no—
612C2×C4—34no—
613C2×C4—54no—
614C2×C4—54no—
615C2×C4—516no—
616C2×C4—54no—
617C2×C4—52no—
618C2×C4—52no—
619C2×C4—52no—
620C2×C4—52no—
621C2×C4—64no—
622C2×C4—108no—
623C2×C4—102no—
624C2×C4—154no—
625C2×C4—3016no—
626C2×C4—3016no—
627C2×C4—304no—
628C2×C4#678214yescomplemented
629C2×C4C22×D3×D512yes—
630C2×C4C22×D3×D512yes—
631C2×C3—24no—
632C2×C3#6593014yescomplemented
633C2×C3C22×D4×D511yescharacteristic
634C2×C3C22×#71111yescharacteristic
635C2×C3C2×D5×#4111yescharacteristic
636D3—44no—
637D3—204no—
638C5C2×#547711yescharacteristic, complemented, Sylow
639C22—22no—
640C22—28no—
641C22—22no—
642C22—64no—
643C22—64no—
644C22—64no—
645C22—128no—
646C22—304no—
647C22—304no—
648C22—304no—
649C22—608no—
650C22C2×D5×D1214yes—
651C22C2×D5×D1212yes—
652C22D5×#23512yes—
653C22C2×#678212yes—
654C22C23×D3×D511yescharacteristic
655C4—22no—
656C4—54no—
657C4—54no—
658C4—54no—
659C4—64no—
660C4—102no—
661C4—304no—
662C4C2×#678214yescomplemented
663C3C2×#6593011yescharacteristic, complemented, Sylow
664C2—24no—
665C2—124no—
666C2—604no—
667C2#1175433014yesdirect product factor
668C2C22×D5×D1211yescharacteristic
669C2C2×D5×#23511yescharacteristic
670C2C22×#678211yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC23×C3×C4×C5C22
socleC23×C3×C5C24
hypercenterC23×C4D3×D5
hypocenterC3×C5C2×#532
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. C22×#6782C2semidirect
2. C2×#91819C2semidirect
3. C2×C5×#930C2semidirect
4. C22×C3×C4×Dic5C2semidirect
5. C2×#91566C2semidirect
6. C2×#91468C2semidirect
7. C2×#91451C2semidirect
8. C2×#91418C2semidirect
9. #11754330C2direct (N × H)
10. C2×Dic5×D12C2semidirect
11. C2×#91405C2semidirect
12. C2×#91350C2semidirect
26. C2×#6782C22semidirect
28. #91819C22semidirect
31. C5×#930C22semidirect
38. C2×C3×C4×Dic5C22semidirect
39. #91566C22semidirect
43. #91468C22semidirect
44. #91451C22semidirect
45. #91418C22semidirect
46. Dic5×D12C22semidirect
47. #91405C22semidirect
48. #91350C22semidirect
56. C22×C4×Dic5D3semidirect
80. C22×C3×Dic5D4semidirect
113. C2×#930D5semidirect
151. C2×C4×Dic5C2×D3semidirect
172. C2×C3×C4×C5#41semidirect
187. C2×C3×Dic5C2×D4semidirect
188. C2×C3×Dic5#41semidirect
219. #930C2×D5semidirect
255. C22×Dic5D12semidirect
309. C3×C4×C5C2×#41semidirect
314. C3×Dic5C2×#41semidirect
382. C2×C4×C5#235semidirect
395. C2×Dic5C2×D12semidirect
396. C2×Dic5#235semidirect
440. C2×C3×C5#532semidirect
471. C2×C3×C4#711semidirect
505. C4×C5C2×#235semidirect
510. Dic5C2×#235semidirect
558. C3×C5C2×#532semidirect
580. C3×C4C2×#711semidirect
585. C2×C5#5477semidirect
628. C2×C4#6782semidirect
632. C2×C3#65930semidirect
638. C5C2×#5477semidirect
662. C4C2×#6782semidirect
663. C3C2×#65930semidirect
667. C2#11754330direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#67822
C2×#918192
C2×C5×#9302
C22×C3×C4×Dic52
C2×#915662
C2×#914682
C2×#914512
C2×#914182
#117543302
C2×Dic5×D122
C2×#914052
C2×#913502
C2×#659303
C2×#54775