Finite Group Databasebeta

← C2×#11752541 #14482858

Subgroups — C2×#11752541 #14482858

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
1C22×#6773C211yesmaximal, characteristic, complemented
2C22×D5×Dic6C211yesmaximal, characteristic, complemented
3C2×#91764C211yesmaximal, characteristic, complemented
4C2×C4×C5×Dic6C211yesmaximal, characteristic, complemented
5C2×C3×C4×D20C211yesmaximal, characteristic, complemented
6C2×#91450C211yesmaximal, characteristic, complemented
7C2×#91429C212yesmaximal, complemented
8C2×#91409C212yesmaximal, complemented
9C2×#91395C212yesmaximal, complemented
10C2×#91360C211yesmaximal, characteristic, complemented
11C2×#91353C212yesmaximal, complemented
12#11752541C2116yesmaximal, direct product factor
13C2×#65910—31nomaximal, Hall
14C22×D60C2211yescharacteristic
15C22×Dic30C2211yescharacteristic
16C22×C5×Dic6C2211yescharacteristic
17C22×C3×D20C2211yescharacteristic
18C22×C3×C4×D5C2211yescharacteristic
19C22×C3×C4×D5C2211yescharacteristic
20C22×#1204C2212yes—
21C22×#1202C2212yes—
22C22×#1202C2212yes—
23C22×#1200C2212yes—
24C22×D5×Dic3C2212yes—
25C2×#6773—28no—
26C2×#6773C2218yescomplemented
27C2×D5×Dic6—28no—
28C2×D5×Dic6C2218yescomplemented
29C2×C3×C42×C5C2211yescharacteristic
30C2×#6714C2212yes—
31C2×#6714C2212yes—
32#91764C2218yescomplemented
33C2×C5×C4⋊Dic3C2211yescharacteristic
34C2×C5×Dic3⋊C4C2212yes—
35C2×C4×C5×Dic3C2212yes—
36C4×C5×Dic6C2218yescomplemented
37C2×C3×#685C2211yescharacteristic
38C2×C3×#685C2211yescharacteristic
39C2×C3×C4⋊Dic5C2211yescharacteristic
40C3×C4×D20C2218yescomplemented
41C2×Dic3⋊Dic5C2212yes—
42C2×#6667C2212yes—
43C2×#6665C2212yes—
44#91450C2218yescomplemented
45#91429C22116yescomplemented
46#91409C22116yescomplemented
47#91395C22116yescomplemented
48#91360C2218yescomplemented
49#91353C22116yescomplemented
50C2×#5552—51nomaximal, Hall
51C22×#713—31no—
52C22×Q8×D5—31no—
53C2×C4×C5×Q8—31no—
54#65910—316no—
55C2×#4043—32no—
56C2×#4043—31no—
57C2×#4041—32no—
58C2×#4041—31no—
59C2×#4021—32no—
60C2×#4021—31no—
61C2×C4×D20—32no—
62C2×C4×D20D311yescharacteristic, complemented
63C23×D15C2312yes—
64C23×C3×D5C2311yescharacteristic
65C23×C3×D5C2311yescharacteristic
66C22×C3×C4×C5C2311yescharacteristic
67C22×C3×C4×C5C2311yescharacteristic
68C22×C3×C4×C5C2311yescharacteristic
69C22×Dic15C2312yes—
70C2×D60—24no—
71C2×D60C2314yes—
72C2×Dic30—24no—
73C2×Dic30C2314yes—
74C22×C5×Dic3C2312yes—
75C22×C5×Dic3C2312yes—
76C2×C5×Dic6D418yescomplemented
77C2×C5×Dic6C2314yes—
78C22×C3×Dic5C2311yescharacteristic
79C22×C3×Dic5C2311yescharacteristic
80C2×C3×D20—24no—
81C2×C3×D20C2314yes—
82C2×C3×C4×D5—24no—
83C2×C3×C4×D5—24no—
84C2×C3×C4×D5C2314yes—
85C2×C3×C4×D5C2314yes—
86C2×#1204—28no—
87C2×#1204C2318yes—
88C2×#1202—28no—
89C2×#1202—28no—
90C2×#1202C2318yes—
91C2×#1202C2318yes—
92C2×#1200—28no—
93C2×#1200C2318yes—
94C2×D5×Dic3—28no—
95C2×D5×Dic3C2318yes—
96#6773—232no—
97D5×Dic6—232no—
98C3×C42×C5C2314yes—
99#6714C2318yes—
100#6714C2318yes—
101C5×C4⋊Dic3C2314yes—
102C5×Dic3⋊C4C2318yes—
103C4×C5×Dic3C2318yes—
104C3×#685C2314yes—
105C3×#685C2314yes—
106C3×C4⋊Dic5C2314yes—
107Dic3⋊Dic5C2318yes—
108#6667C2318yes—
109#6665C2318yes—
110C22×#235—51no—
111C23×Dic6—51no—
112C2×C3×C4×D4—51no—
113C2×#939—52no—
114C2×#930—51no—
115C2×#924—51no—
116#5552—516no—
117C2×#896—52no—
118C2×#885—52no—
119C2×#67⋊C4—52no—
120C2×#875—51no—
121C2×C4×Dic6D511yescharacteristic, complemented
122C22×C5×Q8—31no—
123C2×#713—38no—
124C2×#713—68no—
125C2×Q8×D5—38no—
126C2×Q8×D5—68no—
127C22×D20—32no—
128C22×D20—32no—
129C22×D20—31no—
130C22×D20C2×D311yescharacteristic
131C22×C4×D5—32no—
132C22×C4×D5—32no—
133C22×C4×D5C2×D311yescharacteristic
134C22×C4×D5C2×D311yescharacteristic
135C22×Dic10—31no—
136C22×Dic10—32no—
137C4×C5×Q8—38no—
138C2×C5×C4⋊C4—32no—
139C2×C5×C4⋊C4—31no—
140C2×C42×C5—32no—
141C2×C42×C5C2×D311yescharacteristic
142C2×#685—32no—
143C2×#685—32no—
144C2×#685—32no—
145C2×#685—32no—
146C2×#685C2×D311yescharacteristic
147C2×#685C2×D311yescharacteristic
148C2×C4⋊Dic5—32no—
149C2×C4⋊Dic5C2×D311yescharacteristic
150#4043—38no—
151#4043—316no—
152#4041—316no—
153#4041—38no—
154#4021—38no—
155#4021—316no—
156C4×D20—316no—
157C4×D20C2×D318yescomplemented
158C2×#548—151noSylow
159C23×C3×C5C2411yescharacteristic
160C22×D15—24no—
161C22×D15—24no—
162C22×D15—24no—
163C22×D15C2414yes—
164C22×C3×D5—22no—
165C22×C3×D5—22no—
166C22×C3×D5—22no—
167C22×C3×D5—22no—
168C22×C3×D5—22no—
169C22×C3×D5#4114yescomplemented
170C22×C3×D5C2412yes—
171C22×C3×D5C2412yes—
172C2×C3×C4×C5—22no—
173C2×C3×C4×C5—22no—
174C2×C3×C4×C5C2×D414yes—
175C2×C3×C4×C5C2412yes—
176C2×C3×C4×C5C2412yes—
177C2×C3×C4×C5C2412yes—
178C2×Dic15—24no—
179C2×Dic15C2414yes—
180D60—28no—
181Dic30—28no—
182C2×C5×Dic3—24no—
183C2×C5×Dic3C2×D418yes—
184C2×C5×Dic3C2414yes—
185C2×C5×Dic3C2414yes—
186C5×Dic6C2×D4116yescomplemented
187C2×C3×Dic5—22no—
188C2×C3×Dic5—22no—
189C2×C3×Dic5C2412yes—
190C2×C3×Dic5C2412yes—
191C3×D20—28no—
192C3×C4×D5—28no—
193C3×C4×D5—28no—
194#1204—216no—
195#1202—216no—
196#1202—216no—
197#1200—216no—
198D5×Dic3—216no—
199C22×C3×D4—51no—
200C23×C3×C4—51no—
201C23×C3×C4—51no—
202C22×#67—52no—
203C22×#67—52no—
204C23×Dic3—52no—
205C2×#235—58no—
206C2×#235—108no—
207C22×D12—51no—
208C22×C4×D3—52no—
209C22×Dic6—51no—
210C22×Dic6—52no—
211C22×Dic6—58no—
212C22×Dic6—108no—
213C22×Dic6C2×D511yescharacteristic
214C3×C4×D4—58no—
215C2×C3×C4⋊C4—51no—
216C2×C3×C22⋊C4—51no—
217C2×C3×C22⋊C4—51no—
218C2×C3×C42C2×D511yescharacteristic
219C2×#217—52no—
220#939—516no—
221#930—58no—
222C2×(C2×D3)⋊C4—52no—
223C2×(C2×D3)⋊C4—52no—
224C2×(C2×D3)⋊C4—52no—
225C2×C4⋊Dic3C2×D511yescharacteristic
226#924—58no—
227C2×Dic3⋊C4—52no—
228C2×Dic3⋊C4C2×D512yes—
229C2×C4×Dic3C2×D512yes—
230#896—516no—
231#885—516no—
232#67⋊C4—516no—
233#875—58no—
234C4×Dic6C2×D518yescomplemented
235C23×D5—32no—
236C23×D5C22×D311yescharacteristic
237C23×D5C22×D311yescharacteristic
238C2×C5×Q8—38no—
239C2×C5×Q8—34no—
240C22×C4×C5—32no—
241C22×C4×C5—32no—
242C22×C4×C5C22×D311yescharacteristic
243C22×C4×C5C22×D311yescharacteristic
244C22×C4×C5C22×D311yescharacteristic
245C22×Dic5—32no—
246C22×Dic5C22×D311yescharacteristic
247C22×Dic5C22×D311yescharacteristic
248#713—632no—
249Q8×D5—632no—
250C2×D20—24no—
251C2×D20—38no—
252C2×D20—38no—
253C2×D20—34no—
254C2×D20—68no—
255C2×D20—68no—
256C2×D20—64no—
257C2×D20C22×D314yes—
258C2×C4×D5—24no—
259C2×C4×D5—24no—
260C2×C4×D5—38no—
261C2×C4×D5—38no—
262C2×C4×D5—68no—
263C2×C4×D5—68no—
264C2×C4×D5C22×D314yes—
265C2×C4×D5C22×D314yes—
266C2×Dic10—34no—
267C2×Dic10—38no—
268C2×Dic10—68no—
269C2×Dic10—64no—
270C5×C4⋊C4—38no—
271C5×C4⋊C4—34no—
272C42×C5—38no—
273C42×C5C22×D314yes—
274#685—38no—
275#685—38no—
276#685—38no—
277#685—38no—
278#685C22×D314yes—
279#685C22×D314yes—
280C4⋊Dic5—38no—
281C4⋊Dic5C22×D314yes—
282C22×#41—151no—
283C23×Q8—151no—
284#548—1516no—
285C2×#124—152no—
286C2×#124—151no—
287C2×C22⋊Q8—152no—
288C2×C22⋊Q8—151no—
289C2×#121—151no—
290C2×#121—152no—
291C2×C4×Q8—31no—
292C2×C4×D4—51no—
293C2×C4×D4—152no—
294C22×C3×C5C22×D412yes—
295C22×C3×C5C2×#4112yes—
296C22×C3×C52−1+412yes—
297C22×C3×C5C2511yescharacteristic
298C2×D15—24no—
299C2×D15—24no—
300C2×D15—24no—
301C2×D15—48no—
302C2×C3×D5—28no—
303C2×C3×D5—22no—
304C2×C3×D5—22no—
305C2×C3×D5—22no—
306C2×C3×D5—22no—
307C2×C3×D5—22no—
308C2×C3×D5—44no—
309C2×C3×D5C2×#4114yescomplemented
310C3×C4×C5—22no—
311C3×C4×C5—22no—
312C3×C4×C5C22×D414yes—
313Dic15—24no—
314C3×Dic5—22no—
315C3×Dic5—22no—
316C5×Dic3—24no—
317C5×Dic3C22×D418yes—
318C24×C3—51no—
319C24×C3—51no—
320C23×D3—52no—
321C2×C3×D4—54no—
322C2×C3×D4—104no—
323C22×C3×C4—51no—
324C22×C3×C4—51no—
325C22×C3×C4—54no—
326C22×C3×C4—54no—
327C22×C3×C4—104no—
328C22×C3×C4—104no—
329C22×C3×C4C22×D511yescharacteristic
330C22×C3×C4C22×D511yescharacteristic
331C22×C3×C4C22×D511yescharacteristic
332C2×#67—58no—
333C2×#67—58no—
334C2×#67—108no—
335C2×#67—108no—
336C22×Dic3—52no—
337C22×Dic3—58no—
338C22×Dic3—108no—
339C22×Dic3C22×D512yes—
340C22×Dic3C22×D512yes—
341#235—1032no—
342C2×D12—54no—
343C2×D12—104no—
344C2×C4×D3—58no—
345C2×C4×D3—108no—
346C2×Dic6—54no—
347C2×Dic6—58no—
348C2×Dic6—104no—
349C2×Dic6—108no—
350C2×Dic6—1032no—
351C2×Dic6D2018yescomplemented
352C2×Dic6C22×D514yes—
353C3×C4⋊C4—54no—
354C3×C22⋊C4—54no—
355C3×C22⋊C4—54no—
356C3×C42C22×D514yes—
357#217—58no—
358(C2×D3)⋊C4—58no—
359(C2×D3)⋊C4—58no—
360(C2×D3)⋊C4—58no—
361C4⋊Dic3C22×D514yes—
362Dic3⋊C4—58no—
363Dic3⋊C4C22×D518yes—
364C4×Dic3C22×D518yes—
365C23×C5C23×D311yescharacteristic
366C22×D5—22no—
367C22×D5—22no—
368C22×D5—22no—
369C22×D5—22no—
370C22×D5—22no—
371C22×D5—34no—
372C22×D5—64no—
373C22×D5—64no—
374C22×D5—64no—
375C22×D5#23514yescomplemented
376C22×D5C23×D312yes—
377C22×D5C23×D312yes—
378C5×Q8—316no—
379C2×C4×C5—22no—
380C2×C4×C5—22no—
381C2×C4×C5—38no—
382C2×C4×C5—34no—
383C2×C4×C5—34no—
384C2×C4×C5—64no—
385C2×C4×C5D3×D414yes—
386C2×C4×C5C23×D312yes—
387C2×C4×C5C23×D312yes—
388C2×C4×C5C23×D312yes—
389C2×Dic5—22no—
390C2×Dic5—22no—
391C2×Dic5—34no—
392C2×Dic5—64no—
393C2×Dic5C23×D312yes—
394C2×Dic5C23×D312yes—
395D20—28no—
396D20—616no—
397D20—616no—
398D20—68no—
399C4×D5—28no—
400C4×D5—28no—
401C4×D5—616no—
402C4×D5—616no—
403Dic10—616no—
404Dic10—68no—
405C2×#41—158no—
406C2×#41—308no—
407C22×Q8—31no—
408C22×Q8—152no—
409C22×Q8—158no—
410C22×Q8—151no—
411C22×Q8—308no—
412C22×D4—51no—
413C22×D4—152no—
414C22×D4—152no—
415C22×D4—151no—
416C23×C4—51no—
417C23×C4—51no—
418C23×C4—152no—
419C23×C4—152no—
420#124—1516no—
421#124—158no—
422C22⋊Q8—1516no—
423C22⋊Q8—158no—
424#121—158no—
425#121—1516no—
426C4×Q8—38no—
427C4×D4—58no—
428C4×D4—1516no—
429C2×C4⋊C4—32no—
430C2×C4⋊C4—31no—
431C2×C4⋊C4—51no—
432C2×C4⋊C4—152no—
433C2×C22⋊C4—51no—
434C2×C22⋊C4—51no—
435C2×C22⋊C4—152no—
436C2×C22⋊C4—152no—
437C2×C22⋊C4—152no—
438C2×C22⋊C4—152no—
439C2×C42—32no—
440C2×C42D3×D511yescharacteristic
441C2×C3×C5#54814yescomplemented
442C2×C3×C5C23×D411yescharacteristic
443C2×C3×C5C22×#4111yescharacteristic
444C2×C3×C5C2×2−1+411yescharacteristic
445D15—44no—
446C3×D5—24no—
447C3×D5—42no—
448C23×C3—54no—
449C23×C3—52no—
450C23×C3—52no—
451C23×C3—102no—
452C23×C3—102no—
453C23×C3—102no—
454C23×C3—102no—
455C23×C3—102no—
456C23×C3C23×D511yescharacteristic
457C22×D3—54no—
458C22×D3—104no—
459C22×D3—104no—
460C22×D3—104no—
461C3×D4—108no—
462C2×C3×C4—22no—
463C2×C3×C4—22no—
464C2×C3×C4—52no—
465C2×C3×C4—52no—
466C2×C3×C4—102no—
467C2×C3×C4—102no—
468C2×C3×C4—108no—
469C2×C3×C4—108no—
470C2×C3×C4C2×D2014yes—
471C2×C3×C4C23×D512yes—
472C2×C3×C4C23×D512yes—
473C2×C3×C4C23×D512yes—
474#67—1016no—
475#67—1016no—
476C2×Dic3—24no—
477C2×Dic3—54no—
478C2×Dic3—104no—
479C2×Dic3—1016no—
480C2×Dic3C2×D2018yes—
481C2×Dic3C23×D514yes—
482C2×Dic3C23×D514yes—
483D12—108no—
484C4×D3—1016no—
485Dic6—108no—
486Dic6—1016no—
487Dic6C2×D20116yescomplemented
488C22×C5C2×#23512yes—
489C22×C5C2×D3×D412yes—
490C22×C5#101012yes—
491C22×C5C24×D311yescharacteristic
492C2×D5—22no—
493C2×D5—22no—
494C2×D5—28no—
495C2×D5—22no—
496C2×D5—22no—
497C2×D5—22no—
498C2×D5—44no—
499C2×D5—64no—
500C2×D5—64no—
501C2×D5—64no—
502C2×D5—128no—
503C2×D5C2×#23514yescomplemented
504C4×C5—22no—
505C4×C5—22no—
506C4×C5—38no—
507C4×C5—64no—
508C4×C5C2×D3×D414yes—
509Dic5—22no—
510Dic5—22no—
511Dic5—64no—
512C24—51no—
513C24—51no—
514C24—152no—
515#41—3032no—
516C2×Q8—38no—
517C2×Q8—34no—
518C2×Q8—158no—
519C2×Q8—154no—
520C2×Q8—308no—
521C2×Q8—3032no—
522C2×Q8—304no—
523C2×D4—54no—
524C2×D4—104no—
525C2×D4—158no—
526C2×D4—158no—
527C2×D4—154no—
528C2×D4—308no—
529C2×D4—308no—
530C2×D4—304no—
531C22×C4—32no—
532C22×C4—32no—
533C22×C4—51no—
534C22×C4—51no—
535C22×C4—54no—
536C22×C4—54no—
537C22×C4—104no—
538C22×C4—104no—
539C22×C4—158no—
540C22×C4—158no—
541C22×C4—152no—
542C22×C4—308no—
543C22×C4—308no—
544C22×C4C2×D3×D511yescharacteristic
545C22×C4C2×D3×D511yescharacteristic
546C22×C4C2×D3×D511yescharacteristic
547C4⋊C4—38no—
548C4⋊C4—34no—
549C4⋊C4—54no—
550C4⋊C4—158no—
551C22⋊C4—54no—
552C22⋊C4—54no—
553C22⋊C4—158no—
554C22⋊C4—158no—
555C22⋊C4—158no—
556C22⋊C4—158no—
557C42—38no—
558C42C2×D3×D514yes—
559C3×C5C2×#54811yescharacteristic, complemented, Hall
560C22×C3—54no—
561C22×C3—108no—
562C22×C3—102no—
563C22×C3—102no—
564C22×C3—102no—
565C22×C3—102no—
566C22×C3—102no—
567C22×C3—204no—
568C22×C3C22×D2012yes—
569C22×C3#414712yes—
570C22×C3D5×#4112yes—
571C22×C3C24×D511yescharacteristic
572C2×D3—104no—
573C2×D3—104no—
574C2×D3—104no—
575C2×D3—208no—
576C3×C4—22no—
577C3×C4—22no—
578C3×C4—102no—
579C3×C4—102no—
580C3×C4C22×D2014yes—
581Dic3—24no—
582Dic3—104no—
583Dic3C22×D2018yes—
584C2×C5#555214yescomplemented
585C2×C5C22×#23511yescharacteristic
586C2×C5C22×D3×D411yescharacteristic
587C2×C5C2×#101011yescharacteristic
588D5—24no—
589D5—42no—
590D5—124no—
591C23—54no—
592C23—52no—
593C23—52no—
594C23—102no—
595C23—102no—
596C23—102no—
597C23—102no—
598C23—102no—
599C23—154no—
600C23—304no—
601C23—304no—
602C23—304no—
603C23C22×D3×D511yescharacteristic
604Q8—316no—
605Q8—3016no—
606Q8—308no—
607D4—108no—
608D4—3016no—
609D4—3016no—
610D4—308no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—38no—
614C2×C4—34no—
615C2×C4—34no—
616C2×C4—52no—
617C2×C4—52no—
618C2×C4—64no—
619C2×C4—102no—
620C2×C4—102no—
621C2×C4—108no—
622C2×C4—108no—
623C2×C4—154no—
624C2×C4—3016no—
625C2×C4—3016no—
626C2×C4—304no—
627C2×C4D3×D2014yes—
628C2×C4C22×D3×D512yes—
629C2×C4C22×D3×D512yes—
630C2×C4C22×D3×D512yes—
631C2×C3—104no—
632C2×C3—202no—
633C2×C3#6591014yescomplemented
634C2×C3C23×D2011yescharacteristic
635C2×C3C2×#414711yescharacteristic
636C2×C3C2×D5×#4111yescharacteristic
637D3—204no—
638C5C2×#555211yescharacteristic, complemented, Sylow
639C22—54no—
640C22—108no—
641C22—102no—
642C22—102no—
643C22—102no—
644C22—102no—
645C22—102no—
646C22—204no—
647C22—304no—
648C22—304no—
649C22—304no—
650C22—608no—
651C22#9200012yes—
652C22C2×D3×D2012yes—
653C22D5×#23512yes—
654C22C23×D3×D511yescharacteristic
655C4—22no—
656C4—22no—
657C4—38no—
658C4—64no—
659C4—102no—
660C4—102no—
661C4—304no—
662C4C2×D3×D2014yes—
663C3C2×#6591011yescharacteristic, complemented, Sylow
664C2—104no—
665C2—202no—
666C2—604no—
667C2#1175254114yesdirect product factor
668C2C2×#9200011yescharacteristic
669C2C22×D3×D2011yescharacteristic
670C2C2×D5×#23511yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC2×C3×C42×C5C22
socleC23×C3×C5C24
hypercenterC2×C42D3×D5
hypocenterC3×C5C2×#548
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
1. C22×#6773C2semidirect
2. C22×D5×Dic6C2semidirect
3. C2×#91764C2semidirect
4. C2×C4×C5×Dic6C2semidirect
5. C2×C3×C4×D20C2semidirect
6. C2×#91450C2semidirect
7. C2×#91429C2semidirect
8. C2×#91409C2semidirect
9. C2×#91395C2semidirect
10. C2×#91360C2semidirect
11. C2×#91353C2semidirect
12. #11752541C2direct (N × H)
26. C2×#6773C22semidirect
28. C2×D5×Dic6C22semidirect
32. #91764C22semidirect
36. C4×C5×Dic6C22semidirect
40. C3×C4×D20C22semidirect
44. #91450C22semidirect
45. #91429C22semidirect
46. #91409C22semidirect
47. #91395C22semidirect
48. #91360C22semidirect
49. #91353C22semidirect
62. C2×C4×D20D3semidirect
76. C2×C5×Dic6D4semidirect
121. C2×C4×Dic6D5semidirect
157. C4×D20C2×D3semidirect
169. C22×C3×D5#41semidirect
186. C5×Dic6C2×D4semidirect
234. C4×Dic6C2×D5semidirect
309. C2×C3×D5C2×#41semidirect
351. C2×Dic6D20semidirect
375. C22×D5#235semidirect
441. C2×C3×C5#548semidirect
487. Dic6C2×D20semidirect
503. C2×D5C2×#235semidirect
559. C3×C5C2×#548semidirect
584. C2×C5#5552semidirect
633. C2×C3#65910semidirect
638. C5C2×#5552semidirect
663. C3C2×#65910semidirect
667. C2#11752541direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#67732
C22×D5×Dic62
C2×#917642
C2×C4×C5×Dic62
C2×C3×C4×D202
C2×#914502
C2×#914292
C2×#914092
C2×#913952
C2×#913602
C2×#913532
#117525412
C2×#659103
C2×#55525