Finite Group Databasebeta

← C2×#11753675 #14482768

Subgroups — C2×#11753675 #14482768

Order 1920.

3264 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6772C212yesmaximal, complemented
2C2×#91777C211yesmaximal, characteristic, complemented
3C2×C5×#895C211yesmaximal, characteristic, complemented
4C2×C3×D5×C4⋊C4C211yesmaximal, characteristic, complemented
5C2×#91449C211yesmaximal, characteristic, complemented
6C2×#91447C212yesmaximal, complemented
7C2×C4×#1201C211yesmaximal, characteristic, complemented
8C2×#91435C211yesmaximal, characteristic, complemented
9C2×#91432C212yesmaximal, complemented
10C2×D3×C4⋊Dic5C211yesmaximal, characteristic, complemented
11C2×#91423C212yesmaximal, complemented
12#11753675C2116yesmaximal, direct product factor
13C2×#65945—31nomaximal, Hall
14C22×Dic30C2212yes—
15C22×C5×D12C2211yescharacteristic
16C22×C5×D12C2212yes—
17C22×C4×C5×D3C2211yescharacteristic
18C22×C3×C4×D5C2211yescharacteristic
19C22×C3×C4×D5C2212yes—
20C22×#1201C2212yes—
21C22×#1201C2211yescharacteristic
22C22×D3×Dic5C2212yes—
23C22×D3×Dic5C2212yes—
24C2×#6772—216no—
25C2×#6772C22116yescomplemented
26C2×C3×C5×C4⋊C4C2211yescharacteristic
27C2×C4⋊Dic15C2211yescharacteristic
28C2×#6712C2212yes—
29C2×C4×Dic15C2211yescharacteristic
30#91777C2218yescomplemented
31C2×C5×(C2×D3)⋊C4C2212yes—
32C5×#895C2218yescomplemented
33C2×C3×C4⋊Dic5C2211yescharacteristic
34C2×C3×#683C2212yes—
35C3×D5×C4⋊C4C2218yescomplemented
36C2×Dic3⋊Dic5C2212yes—
37C2×#6669C2211yescharacteristic
38C2×(C2×D3)⋊Dic5C2211yescharacteristic
39C2×(C2×D3)⋊Dic5C2212yes—
40C2×(C2×D3)⋊Dic5C2212yes—
41C2×#6665C2211yescharacteristic
42#91449C2218yescomplemented
43#91447C22116yescomplemented
44C4×#1201C2218yescomplemented
45#91435C2218yescomplemented
46#91432C22116yescomplemented
47D3×C4⋊Dic5C2218yescomplemented
48#91423C22116yescomplemented
49C2×#5507—51nomaximal, Hall
50C22×#711—32no—
51C2×C5×#121—31no—
52C2×#4084—31no—
53C2×#4081—32no—
54C2×D4×Dic5—31no—
55C2×C4×C22⋊D5—31no—
56C22×C4⋊Dic5—31no—
57#65945—316no—
58C2×D5×C4⋊C4D311yescharacteristic, complemented
59C2×#4034—31no—
60C2×#4029—32no—
61C2×#4024—32no—
62C23×C5×D3C2312yes—
63C23×C5×D3C2311yescharacteristic
64C23×C3×D5C2311yescharacteristic
65C22×C3×C4×C5C2312yes—
66C22×C3×C4×C5C2311yescharacteristic
67C22×Dic15C2312yes—
68C22×Dic15C2311yescharacteristic
69C22×Dic15C2311yescharacteristic
70C2×Dic30—28no—
71C2×Dic30C2318yes—
72C22×C5×Dic3C2311yescharacteristic
73C2×C5×D12—28no—
74C2×C5×D12—24no—
75C2×C5×D12C2318yes—
76C2×C5×D12C2314yes—
77C2×C4×C5×D3—24no—
78C2×C4×C5×D3C2314yes—
79C22×C3×Dic5C2312yes—
80C22×C3×Dic5C2311yescharacteristic
81C2×C3×C4×D5—28no—
82C2×C3×C4×D5—24no—
83C2×C3×C4×D5C2314yes—
84C2×C3×C4×D5C2318yes—
85C2×#1201—28no—
86C2×#1201D418yescomplemented
87C2×#1201C2318yes—
88C2×#1201C2314yes—
89C2×D3×Dic5—28no—
90C2×D3×Dic5—28no—
91C2×D3×Dic5C2318yes—
92C2×D3×Dic5C2318yes—
93#6772—264no—
94C3×C5×C4⋊C4C2314yes—
95C4⋊Dic15C2314yes—
96#6712C2318yes—
97C4×Dic15C2314yes—
98C5×(C2×D3)⋊C4C2318yes—
99C3×C4⋊Dic5C2314yes—
100C3×#683C2318yes—
101Dic3⋊Dic5C2318yes—
102#6669C2314yes—
103(C2×D3)⋊Dic5C2314yes—
104(C2×D3)⋊Dic5C2318yes—
105(C2×D3)⋊Dic5C2318yes—
106#6665C2314yes—
107C22×#235—52no—
108C22×C3×C4⋊C4—51no—
109C2×#930—51no—
110C2×#929—52no—
111C2×C4×#67—51no—
112C2×#896—52no—
113#5507—516no—
114C2×#895D511yescharacteristic, complemented
115C2×#894—52no—
116C2×#893—51no—
117C2×D3×C4⋊C4—51no—
118C2×#888—51no—
119C22×C5×D4—31no—
120C22×C5×D4—32no—
121C23×C4×C5—31no—
122C22×C22⋊D5—31no—
123C22×C22⋊D5—32no—
124C23×Dic5—32no—
125C23×Dic5—32no—
126C2×#711—316no—
127C2×#711—616no—
128C22×C4×D5C2×D312yes—
129C22×C4×D5C2×D311yescharacteristic
130C22×Dic10—32no—
131C5×#121—38no—
132C2×C5×C4⋊C4C2×D311yescharacteristic
133C2×C5×C22⋊C4—32no—
134C2×C22⋊Dic5—32no—
135C2×C22⋊Dic5—32no—
136C2×C22⋊Dic5—31no—
137#4084—38no—
138#4081—316no—
139D4×Dic5—38no—
140C4×C22⋊D5—38no—
141C2×#685—31no—
142C2×C4⋊Dic5—31no—
143C2×C4⋊Dic5—32no—
144C2×C4⋊Dic5—38no—
145C2×C4⋊Dic5C2×D311yescharacteristic
146C2×#683—32no—
147C2×#683—31no—
148C2×#683C2×D312yes—
149C2×C4×Dic5—31no—
150D5×C4⋊C4C2×D318yescomplemented
151#4034—38no—
152#4029—316no—
153#4024—316no—
154C2×#547—151noSylow
155C23×C3×C5C2411yescharacteristic
156C22×C5×D3—22no—
157C22×C5×D3—22no—
158C22×C5×D3—24no—
159C22×C5×D3—24no—
160C22×C5×D3—24no—
161C22×C5×D3C2×D414yes—
162C22×C5×D3C2414yes—
163C22×C5×D3C2412yes—
164C22×C3×D5—22no—
165C22×C3×D5—22no—
166C22×C3×D5C2×D414yes—
167C22×C3×D5C2412yes—
168C2×C3×C4×C5—24no—
169C2×C3×C4×C5#4114yescomplemented
170C2×C3×C4×C5C2414yes—
171C2×C3×C4×C5C2412yes—
172C2×Dic15—24no—
173C2×Dic15—22no—
174C2×Dic15C2×D414yes—
175C2×Dic15C2412yes—
176C2×Dic15C2414yes—
177C2×Dic15C2412yes—
178Dic30—216no—
179C2×C5×Dic3—22no—
180C2×C5×Dic3C2412yes—
181C5×D12—216no—
182C5×D12—28no—
183C4×C5×D3—28no—
184C2×C3×Dic5—24no—
185C2×C3×Dic5—22no—
186C2×C3×Dic5C2412yes—
187C2×C3×Dic5C2414yes—
188C3×C4×D5—216no—
189C3×C4×D5—28no—
190#1201—216no—
191#1201C2×D4116yescomplemented
192D3×Dic5—216no—
193D3×Dic5—216no—
194C23×C3×C4—52no—
195C23×C3×C4—51no—
196C22×#67—51no—
197C22×#67—52no—
198C2×#235—516no—
199C2×#235—1016no—
200C22×D12C2×D512yes—
201C22×D12C2×D511yescharacteristic
202C22×C4×D3—52no—
203C22×C4×D3—52no—
204C22×C4×D3C2×D511yescharacteristic
205C22×Dic6—52no—
206C2×C3×C4⋊C4—51no—
207C2×C3×C4⋊C4—52no—
208C2×C3×C4⋊C4—58no—
209C2×C3×C4⋊C4C2×D511yescharacteristic
210C2×#217—51no—
211#930—58no—
212#929—516no—
213C4×#67—58no—
214C2×(C2×D3)⋊C4—52no—
215C2×(C2×D3)⋊C4—51no—
216C2×(C2×D3)⋊C4—52no—
217C2×(C2×D3)⋊C4C2×D512yes—
218C2×C4⋊Dic3—51no—
219C2×Dic3⋊C4—52no—
220C2×Dic3⋊C4—52no—
221C2×Dic3⋊C4—51no—
222C2×C4×Dic3—51no—
223#896—516no—
224#895C2×D518yescomplemented
225#894—516no—
226#893—58no—
227D3×C4⋊C4—58no—
228#888—58no—
229C24×C5—31no—
230C24×C5—32no—
231C23×D5C22×D311yescharacteristic
232C2×C5×D4—38no—
233C2×C5×D4—34no—
234C2×C5×D4—68no—
235C2×C5×D4—64no—
236C22×C4×C5—31no—
237C22×C4×C5—34no—
238C22×C4×C5—64no—
239C22×C4×C5C22×D312yes—
240C22×C4×C5C22×D311yescharacteristic
241C2×C22⋊D5—38no—
242C2×C22⋊D5—34no—
243C2×C22⋊D5—38no—
244C2×C22⋊D5—68no—
245C22×Dic5—31no—
246C22×Dic5—31no—
247C22×Dic5—32no—
248C22×Dic5—38no—
249C22×Dic5—38no—
250C22×Dic5—68no—
251C22×Dic5—68no—
252C22×Dic5C22×D311yescharacteristic
253C22×Dic5C22×D312yes—
254#711—664no—
255C2×C4×D5—28no—
256C2×C4×D5—24no—
257C2×C4×D5C22×D318yes—
258C2×C4×D5C22×D314yes—
259C2×Dic10—38no—
260C2×Dic10—68no—
261C5×C4⋊C4C22×D314yes—
262C5×C22⋊C4—38no—
263C22⋊Dic5—38no—
264C22⋊Dic5—38no—
265C22⋊Dic5—34no—
266#685—34no—
267C4⋊Dic5—34no—
268C4⋊Dic5—38no—
269C4⋊Dic5C22×D314yes—
270#683—38no—
271#683—34no—
272#683C22×D318yes—
273C4×Dic5—34no—
274C22×#41—152no—
275#547—1516no—
276C2×C4⋊Q8—151no—
277C2×#123—152no—
278C2×#123—152no—
279C2×C22⋊Q8—152no—
280C2×#121—31no—
281C2×#121—151no—
282C2×C4×D4—151no—
283C2×C4×D4—151no—
284C22×C4⋊C4—51no—
285C22×C4⋊C4—151no—
286C22×C3×C5C22×D412yes—
287C22×C3×C5C2×#4112yes—
288C22×C3×C52−1+412yes—
289C22×C3×C5C2511yescharacteristic
290C2×C5×D3—28no—
291C2×C5×D3—22no—
292C2×C5×D3—22no—
293C2×C5×D3—24no—
294C2×C5×D3—24no—
295C2×C5×D3—24no—
296C2×C5×D3—48no—
297C2×C5×D3C22×D414yes—
298C2×C3×D5—28no—
299C2×C3×D5—22no—
300C2×C3×D5—22no—
301C2×C3×D5C22×D414yes—
302C3×C4×C5—24no—
303C3×C4×C5C2×#4114yescomplemented
304Dic15—24no—
305Dic15—22no—
306Dic15C22×D414yes—
307C3×Dic5—24no—
308C3×Dic5—22no—
309C5×Dic3—22no—
310C24×C3—51no—
311C23×D3C22×D512yes—
312C23×D3C22×D511yescharacteristic
313C22×C3×C4—51no—
314C22×C3×C4—52no—
315C22×C3×C4—54no—
316C22×C3×C4—58no—
317C22×C3×C4—108no—
318C22×C3×C4—104no—
319C22×C3×C4C22×D512yes—
320C22×C3×C4C22×D511yescharacteristic
321C2×#67—58no—
322C2×#67—54no—
323C2×#67—58no—
324C2×#67—108no—
325C22×Dic3—51no—
326C22×Dic3—51no—
327C22×Dic3—52no—
328C22×Dic3C22×D511yescharacteristic
329#235—1064no—
330C2×D12—28no—
331C2×D12—24no—
332C2×D12C22×D514yes—
333C2×D12C22×D518yes—
334C2×C4×D3—24no—
335C2×C4×D3—58no—
336C2×C4×D3—58no—
337C2×C4×D3—108no—
338C2×C4×D3—108no—
339C2×C4×D3C22×D514yes—
340C2×Dic6—58no—
341C2×Dic6—108no—
342C3×C4⋊C4—58no—
343C3×C4⋊C4—54no—
344C3×C4⋊C4C22×D514yes—
345#217—54no—
346(C2×D3)⋊C4—58no—
347(C2×D3)⋊C4—54no—
348(C2×D3)⋊C4—58no—
349(C2×D3)⋊C4C22×D518yes—
350C4⋊Dic3—54no—
351Dic3⋊C4—58no—
352Dic3⋊C4—54no—
353Dic3⋊C4—58no—
354C4×Dic3—54no—
355C23×C5—34no—
356C23×C5—32no—
357C23×C5—34no—
358C23×C5—62no—
359C23×C5—62no—
360C23×C5—64no—
361C23×C5—64no—
362C23×C5—64no—
363C23×C5C23×D311yescharacteristic
364C22×D5—22no—
365C22×D5—22no—
366C22×D5D3×D414yes—
367C22×D5C23×D312yes—
368C5×D4—616no—
369C5×D4—68no—
370C2×C4×C5—24no—
371C2×C4×C5—32no—
372C2×C4×C5—62no—
373C2×C4×C5—68no—
374C2×C4×C5#23514yescomplemented
375C2×C4×C5C23×D314yes—
376C2×C4×C5C23×D312yes—
377C22⋊D5—316no—
378C22⋊D5—616no—
379C2×Dic5—22no—
380C2×Dic5—24no—
381C2×Dic5—34no—
382C2×Dic5—32no—
383C2×Dic5—32no—
384C2×Dic5—34no—
385C2×Dic5—616no—
386C2×Dic5—616no—
387C2×Dic5—64no—
388C2×Dic5—62no—
389C2×Dic5C23×D312yes—
390C2×Dic5C23×D314yes—
391C4×D5—216no—
392C4×D5—28no—
393Dic10—616no—
394C2×#41—1516no—
395C2×#41—3016no—
396C22×Q8—152no—
397C22×D4—31no—
398C22×D4—32no—
399C22×D4—151no—
400C22×D4—152no—
401C23×C4—31no—
402C23×C4—51no—
403C23×C4—52no—
404C23×C4—152no—
405C23×C4—152no—
406C4⋊Q8—158no—
407#123—1516no—
408#123—1516no—
409C22⋊Q8—1516no—
410#121—38no—
411#121—158no—
412C4×D4—158no—
413C4×D4—158no—
414C2×C4⋊C4—51no—
415C2×C4⋊C4—52no—
416C2×C4⋊C4—58no—
417C2×C4⋊C4—158no—
418C2×C4⋊C4—152no—
419C2×C4⋊C4—151no—
420C2×C4⋊C4—151no—
421C2×C4⋊C4—152no—
422C2×C4⋊C4D3×D511yescharacteristic
423C2×C22⋊C4—32no—
424C2×C22⋊C4—151no—
425C2×C22⋊C4—151no—
426C2×C22⋊C4—152no—
427C2×C22⋊C4—152no—
428C2×C42—151no—
429C2×C3×C5#54714yescomplemented
430C2×C3×C5C23×D411yescharacteristic
431C2×C3×C5C22×#4111yescharacteristic
432C2×C3×C5C2×2−1+411yescharacteristic
433C3×D5—24no—
434C5×D3—24no—
435C5×D3—44no—
436C23×C3—54no—
437C23×C3—52no—
438C23×C3—102no—
439C23×C3—102no—
440C23×C3C23×D511yescharacteristic
441C22×D3—22no—
442C22×D3—22no—
443C22×D3—24no—
444C22×D3—24no—
445C22×D3—24no—
446C22×D3D4×D514yes—
447C22×D3C23×D514yes—
448C22×D3C23×D512yes—
449C2×C3×C4—24no—
450C2×C3×C4—52no—
451C2×C3×C4—54no—
452C2×C3×C4—1016no—
453C2×C3×C4—104no—
454C2×C3×C4—102no—
455C2×C3×C4—108no—
456C2×C3×C4#71114yescomplemented
457C2×C3×C4C23×D514yes—
458C2×C3×C4C23×D512yes—
459#67—516no—
460#67—1016no—
461C2×Dic3—22no—
462C2×Dic3—54no—
463C2×Dic3—52no—
464C2×Dic3—52no—
465C2×Dic3—54no—
466C2×Dic3—104no—
467C2×Dic3—102no—
468C2×Dic3C23×D512yes—
469D12—216no—
470D12—28no—
471C4×D3—28no—
472C4×D3—1016no—
473C4×D3—1016no—
474Dic6—1016no—
475C22×C5—34no—
476C22×C5—62no—
477C22×C5—62no—
478C22×C5—68no—
479C22×C5—64no—
480C22×C5—64no—
481C22×C5—64no—
482C22×C5—128no—
483C22×C5C2×#23512yes—
484C22×C5C2×D3×D412yes—
485C22×C5#100712yes—
486C22×C5C24×D311yescharacteristic
487C2×D5—22no—
488C2×D5—22no—
489C2×D5—28no—
490C2×D5C2×D3×D414yes—
491C4×C5—24no—
492C4×C5—62no—
493C4×C5C2×#23514yescomplemented
494Dic5—22no—
495Dic5—24no—
496Dic5—34no—
497Dic5—64no—
498Dic5—62no—
499C24—31no—
500C24—32no—
501C24—51no—
502#41—3064no—
503C2×Q8—158no—
504C2×Q8—308no—
505C2×D4—34no—
506C2×D4—38no—
507C2×D4—68no—
508C2×D4—64no—
509C2×D4—154no—
510C2×D4—158no—
511C2×D4—158no—
512C2×D4—308no—
513C22×C4—31no—
514C22×C4—34no—
515C22×C4—51no—
516C22×C4—52no—
517C22×C4—54no—
518C22×C4—58no—
519C22×C4—64no—
520C22×C4—108no—
521C22×C4—104no—
522C22×C4—158no—
523C22×C4—158no—
524C22×C4—151no—
525C22×C4—151no—
526C22×C4—152no—
527C22×C4—308no—
528C22×C4—308no—
529C22×C4C2×D3×D512yes—
530C22×C4C2×D3×D511yescharacteristic
531C4⋊C4—54no—
532C4⋊C4—58no—
533C4⋊C4—158no—
534C4⋊C4—154no—
535C4⋊C4—154no—
536C4⋊C4—158no—
537C4⋊C4C2×D3×D514yes—
538C22⋊C4—38no—
539C22⋊C4—154no—
540C22⋊C4—154no—
541C22⋊C4—158no—
542C22⋊C4—158no—
543C42—154no—
544C3×C5C2×#54711yescharacteristic, complemented, Hall
545C22×C3—54no—
546C22×C3—108no—
547C22×C3—102no—
548C22×C3—102no—
549C22×C3C2×D4×D512yes—
550C22×C3C2×#71112yes—
551C22×C3#415012yes—
552C22×C3C24×D511yescharacteristic
553C2×D3—28no—
554C2×D3—22no—
555C2×D3—22no—
556C2×D3—24no—
557C2×D3—24no—
558C2×D3—24no—
559C2×D3—48no—
560C2×D3C2×D4×D514yes—
561C3×C4—24no—
562C3×C4—104no—
563C3×C4—102no—
564C3×C4C2×#71114yescomplemented
565Dic3—22no—
566Dic3—54no—
567Dic3—104no—
568Dic3—102no—
569C2×C5—64no—
570C2×C5—124no—
571C2×C5#550714yescomplemented
572C2×C5C22×#23511yescharacteristic
573C2×C5C22×D3×D411yescharacteristic
574C2×C5C2×#100711yescharacteristic
575D5—24no—
576C23—34no—
577C23—32no—
578C23—34no—
579C23—54no—
580C23—52no—
581C23—62no—
582C23—62no—
583C23—64no—
584C23—64no—
585C23—64no—
586C23—102no—
587C23—102no—
588C23C22×D3×D511yescharacteristic
589Q8—3016no—
590D4—616no—
591D4—68no—
592D4—1516no—
593D4—3016no—
594C2×C4—24no—
595C2×C4—32no—
596C2×C4—52no—
597C2×C4—54no—
598C2×C4—62no—
599C2×C4—68no—
600C2×C4—1016no—
601C2×C4—102no—
602C2×C4—104no—
603C2×C4—108no—
604C2×C4—154no—
605C2×C4—152no—
606C2×C4—152no—
607C2×C4—154no—
608C2×C4—3016no—
609C2×C4—3016no—
610C2×C4—304no—
611C2×C4—302no—
612C2×C4#677214yescomplemented
613C2×C4C22×D3×D514yes—
614C2×C4C22×D3×D512yes—
615C2×C3—104no—
616C2×C3#6594514yescomplemented
617C2×C3C22×D4×D511yescharacteristic
618C2×C3C22×#71111yescharacteristic
619C2×C3C2×#415011yescharacteristic
620D3—24no—
621D3—44no—
622C5C2×#550711yescharacteristic, complemented, Sylow
623C22—34no—
624C22—54no—
625C22—68no—
626C22—62no—
627C22—62no—
628C22—64no—
629C22—64no—
630C22—64no—
631C22—108no—
632C22—102no—
633C22—102no—
634C22—128no—
635C22C2×#677212yes—
636C22D3×D4×D512yes—
637C22#9203012yes—
638C22C23×D3×D511yescharacteristic
639C4—24no—
640C4—62no—
641C4—102no—
642C4—104no—
643C4—154no—
644C4—304no—
645C4—302no—
646C4C2×#677214yescomplemented
647C3C2×#6594511yescharacteristic, complemented, Sylow
648C2—64no—
649C2—104no—
650C2—124no—
651C2#1175367514yesdirect product factor
652C2C22×#677211yescharacteristic
653C2C2×D3×D4×D511yescharacteristic
654C2C2×#9203011yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC2×C3×C5×C4⋊C4C22
socleC23×C3×C5C24
hypercenterC2×C4⋊C4D3×D5
hypocenterC3×C5C2×#547
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×#6772C2semidirect
2. C2×#91777C2semidirect
3. C2×C5×#895C2semidirect
4. C2×C3×D5×C4⋊C4C2semidirect
5. C2×#91449C2semidirect
6. C2×#91447C2semidirect
7. C2×C4×#1201C2semidirect
8. C2×#91435C2semidirect
9. C2×#91432C2semidirect
10. C2×D3×C4⋊Dic5C2semidirect
11. C2×#91423C2semidirect
12. #11753675C2direct (N × H)
25. C2×#6772C22semidirect
30. #91777C22semidirect
32. C5×#895C22semidirect
35. C3×D5×C4⋊C4C22semidirect
42. #91449C22semidirect
43. #91447C22semidirect
44. C4×#1201C22semidirect
45. #91435C22semidirect
46. #91432C22semidirect
47. D3×C4⋊Dic5C22semidirect
48. #91423C22semidirect
58. C2×D5×C4⋊C4D3semidirect
86. C2×#1201D4semidirect
114. C2×#895D5semidirect
150. D5×C4⋊C4C2×D3semidirect
169. C2×C3×C4×C5#41semidirect
191. #1201C2×D4semidirect
224. #895C2×D5semidirect
303. C3×C4×C5C2×#41semidirect
374. C2×C4×C5#235semidirect
429. C2×C3×C5#547semidirect
456. C2×C3×C4#711semidirect
493. C4×C5C2×#235semidirect
544. C3×C5C2×#547semidirect
564. C3×C4C2×#711semidirect
571. C2×C5#5507semidirect
612. C2×C4#6772semidirect
616. C2×C3#65945semidirect
622. C5C2×#5507semidirect
646. C4C2×#6772semidirect
647. C3C2×#65945semidirect
651. C2#11753675direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#67722
C2×#917772
C2×C5×#8952
C2×C3×D5×C4⋊C42
C2×#914492
C2×#914472
C2×C4×#12012
C2×#914352
C2×#914322
C2×D3×C4⋊Dic52
C2×#914232
#117536752
C2×#659453
C2×#55075