Finite Group Databasebeta

← C2×#11753692 #14483002

Subgroups — C2×#11753692 #14483002

Order 1920.

3472 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6769C211yesmaximal, characteristic, complemented
2C22×#6768C211yesmaximal, characteristic, complemented
3C2×#91784C211yesmaximal, characteristic, complemented
4C2×C5×#895C211yesmaximal, characteristic, complemented
5C2×C3×#4033C211yesmaximal, characteristic, complemented
6C2×#91451C212yesmaximal, complemented
7C2×#91451C211yesmaximal, characteristic, complemented
8C2×C4×#1203C211yesmaximal, characteristic, complemented
9C2×#91420C212yesmaximal, complemented
10C2×#91416C212yesmaximal, complemented
11C2×#91405C212yesmaximal, complemented
12#11753692C2116yesmaximal, direct product factor
13C2×#65933—31nomaximal, Hall
14C22×D60C2211yescharacteristic
15C22×D60C2212yes—
16C22×C4×D15C2211yescharacteristic
17C22×C5×D12C2211yescharacteristic
18C22×C5×D12C2212yes—
19C22×C4×C5×D3C2211yescharacteristic
20C22×C3×Dic10C2211yescharacteristic
21C22×#1203C2211yescharacteristic
22C22×#1203C2212yes—
23C22×#1203C2212yes—
24C22×#1203C2212yes—
25C22×#1203C2212yes—
26C22×#1200C2212yes—
27C22×D3×Dic5C2212yes—
28C2×#6769—28no—
29C2×#6769C2218yescomplemented
30C2×#6768—28no—
31C2×#6768C2218yescomplemented
32C2×C3×C5×C4⋊C4C2211yescharacteristic
33C2×#6714C2212yes—
34#91784C2218yescomplemented
35C2×C5×(C2×D3)⋊C4C2212yes—
36C5×#895C2218yescomplemented
37C2×C3×#683C2212yes—
38C2×C3×C4×Dic5C2211yescharacteristic
39C2×C3×C4×Dic5C2212yes—
40C3×#4033C2218yescomplemented
41C2×#6668C2211yescharacteristic
42C2×#6667C2211yescharacteristic
43C2×(C2×D3)⋊Dic5C2211yescharacteristic
44#91451C22116yescomplemented
45#91451C2218yescomplemented
46C4×#1203C2218yescomplemented
47#91420C22116yescomplemented
48#91416C22116yescomplemented
49#91405C22116yescomplemented
50C2×#5577—51nomaximal, Hall
51C22×#711—31no—
52C22×#709—31no—
53C2×C5×#121—31no—
54C2×#4086—31no—
55C2×#4086—32no—
56C2×#4085—32no—
57C2×C4×C22⋊D5—31no—
58#65933—316no—
59C2×#4041—31no—
60C2×#4033D311yescharacteristic, complemented
61C2×#4030—32no—
62C2×#4027—32no—
63C23×D15C2312yes—
64C23×D15C2311yescharacteristic
65C23×C5×D3C2312yes—
66C23×C5×D3C2311yescharacteristic
67C22×C3×C4×C5C2312yes—
68C22×C3×C4×C5C2311yescharacteristic
69C22×Dic15C2311yescharacteristic
70C2×D60—24no—
71C2×D60—44no—
72C2×D60C2314yes—
73C2×D60C2318yes—
74C2×C4×D15—24no—
75C2×C4×D15C2314yes—
76C22×C5×Dic3C2311yescharacteristic
77C2×C5×D12—24no—
78C2×C5×D12—44no—
79C2×C5×D12C2314yes—
80C2×C5×D12C2318yes—
81C2×C4×C5×D3—24no—
82C2×C4×C5×D3C2314yes—
83C22×C3×Dic5C2311yescharacteristic
84C22×C3×Dic5C2312yes—
85C22×C3×Dic5C2311yescharacteristic
86C2×C3×Dic10D418yescomplemented
87C2×C3×Dic10C2314yes—
88C2×#1203—28no—
89C2×#1203—28no—
90C2×#1203—24no—
91C2×#1203—28no—
92C2×#1203—44no—
93C2×#1203C2318yes—
94C2×#1203C2318yes—
95C2×#1203C2318yes—
96C2×#1203C2314yes—
97C2×#1203C2318yes—
98C2×#1200—28no—
99C2×#1200C2318yes—
100C2×D3×Dic5—28no—
101C2×D3×Dic5C2318yes—
102#6769—232no—
103#6768—232no—
104C3×C5×C4⋊C4C2314yes—
105#6714C2318yes—
106C5×(C2×D3)⋊C4C2318yes—
107C3×#683C2318yes—
108C3×C4×Dic5C2318yes—
109C3×C4×Dic5C2314yes—
110#6668C2314yes—
111#6667C2314yes—
112(C2×D3)⋊Dic5C2314yes—
113C22×#239—51no—
114C22×#239—51no—
115C2×C3×C4×Q8—51no—
116#5577—516no—
117C2×#895—52no—
118C2×#895—51no—
119C2×#895—52no—
120C2×#895D511yescharacteristic, complemented
121C2×#874—52no—
122C2×#874—51no—
123C2×C4×D12—51no—
124C2×C4×D12—52no—
125C22×C5×D4—31no—
126C22×C5×D4—32no—
127C23×C4×C5—31no—
128C22×C22⋊D5—32no—
129C22×C22⋊D5—32no—
130C22×C22⋊D5—31no—
131C22×C22⋊D5—32no—
132C22×C22⋊D5—32no—
133C23×Dic5—32no—
134C2×#711—38no—
135C2×#711—68no—
136C2×#709—38no—
137C2×#709—68no—
138C22×D20—31no—
139C22×D20—32no—
140C22×C4×D5—31no—
141C22×C4×D5—32no—
142C22×Dic10C2×D311yescharacteristic
143C5×#121—38no—
144C2×C5×C4⋊C4C2×D311yescharacteristic
145C2×C5×C22⋊C4—32no—
146C2×C22⋊Dic5—31no—
147#4086—316no—
148#4086—38no—
149#4085—316no—
150C4×C22⋊D5—38no—
151C2×#685—32no—
152C2×#685—31no—
153C2×#683—31no—
154C2×#683C2×D312yes—
155C2×C4×Dic5C2×D312yes—
156C2×C4×Dic5C2×D311yescharacteristic
157#4041—38no—
158#4033C2×D318yescomplemented
159#4030—316no—
160#4027—316no—
161C2×#550—151noSylow
162C23×C3×C5C2411yescharacteristic
163C22×D15—24no—
164C22×D15—22no—
165C22×D15—24no—
166C22×D15—22no—
167C22×D15—24no—
168C22×D15—22no—
169C22×D15C2412yes—
170C22×D15C2414yes—
171C22×C5×D3—24no—
172C22×C5×D3—22no—
173C22×C5×D3—24no—
174C22×C5×D3—22no—
175C22×C5×D3—24no—
176C22×C5×D3—22no—
177C22×C5×D3C2412yes—
178C22×C5×D3C2414yes—
179C2×C3×C4×C5—24no—
180C2×C3×C4×C5C2×D414yes—
181C2×C3×C4×C5C2414yes—
182C2×C3×C4×C5C2412yes—
183C2×Dic15—22no—
184C2×Dic15C2412yes—
185D60—28no—
186D60—48no—
187C4×D15—28no—
188C2×C5×Dic3—22no—
189C2×C5×Dic3C2412yes—
190C5×D12—28no—
191C5×D12—48no—
192C4×C5×D3—28no—
193C2×C3×Dic5—22no—
194C2×C3×Dic5C2×D418yes—
195C2×C3×Dic5#4114yescomplemented
196C2×C3×Dic5C2412yes—
197C2×C3×Dic5C2414yes—
198C2×C3×Dic5C2412yes—
199C3×Dic10C2×D4116yescomplemented
200#1203—216no—
201#1203—216no—
202#1203—216no—
203#1203—28no—
204#1203—48no—
205#1200—216no—
206D3×Dic5—216no—
207C22×C3×Q8—51no—
208C2×#239—58no—
209C2×#239—58no—
210C2×#239—108no—
211C2×#239—108no—
212C22×D12—52no—
213C22×D12—52no—
214C22×D12—51no—
215C22×D12—52no—
216C22×D12—51no—
217C22×D12—52no—
218C22×D12—52no—
219C22×D12C2×D511yescharacteristic
220C22×D12C2×D512yes—
221C22×C4×D3—52no—
222C22×C4×D3—51no—
223C22×C4×D3—52no—
224C22×C4×D3C2×D511yescharacteristic
225C3×C4×Q8—58no—
226C2×C3×C4⋊C4—52no—
227C2×C3×C4⋊C4C2×D511yescharacteristic
228C2×C3×C42—52no—
229C2×C3×C42—51no—
230C2×(C2×D3)⋊C4—51no—
231C2×(C2×D3)⋊C4—52no—
232C2×(C2×D3)⋊C4—51no—
233C2×(C2×D3)⋊C4C2×D512yes—
234C2×C4⋊Dic3—51no—
235#895—516no—
236#895—58no—
237#895—516no—
238#895C2×D518yescomplemented
239#874—516no—
240#874—58no—
241C4×D12—58no—
242C4×D12—516no—
243C24×C5—31no—
244C24×C5—32no—
245C23×D5—32no—
246C23×D5—31no—
247C2×C5×D4—34no—
248C2×C5×D4—38no—
249C2×C5×D4—64no—
250C2×C5×D4—124no—
251C22×C4×C5—31no—
252C22×C4×C5—34no—
253C22×C4×C5—64no—
254C22×C4×C5C22×D312yes—
255C22×C4×C5C22×D311yescharacteristic
256C2×C22⋊D5—38no—
257C2×C22⋊D5—38no—
258C2×C22⋊D5—38no—
259C2×C22⋊D5—34no—
260C2×C22⋊D5—38no—
261C2×C22⋊D5—68no—
262C2×C22⋊D5—68no—
263C2×C22⋊D5—68no—
264C2×C22⋊D5—64no—
265C2×C22⋊D5—124no—
266C22×Dic5—31no—
267C22×Dic5—38no—
268C22×Dic5—68no—
269C22×Dic5C22×D311yescharacteristic
270C22×Dic5C22×D312yes—
271C22×Dic5C22×D311yescharacteristic
272#711—632no—
273#709—632no—
274C2×D20—34no—
275C2×D20—38no—
276C2×D20—64no—
277C2×D20—124no—
278C2×C4×D5—34no—
279C2×C4×D5—38no—
280C2×C4×D5—64no—
281C2×C4×D5—68no—
282C2×Dic10D1218yescomplemented
283C2×Dic10C22×D314yes—
284C5×C4⋊C4C22×D314yes—
285C5×C22⋊C4—38no—
286C22⋊Dic5—34no—
287#685—38no—
288#685—34no—
289#683—34no—
290#683C22×D318yes—
291C4×Dic5C22×D318yes—
292C4×Dic5C22×D314yes—
293C22×#41—151no—
294C22×#41—151no—
295#550—1516no—
296C2×#127—151no—
297C2×#127—152no—
298C2×#121—31no—
299C2×#121—152no—
300C2×#121—152no—
301C2×#121—151no—
302C2×C4×Q8—51no—
303C2×C4×D4—152no—
304C2×C4×D4—151no—
305C22×C3×C5C22×D412yes—
306C22×C3×C5C2×#4112yes—
307C22×C3×C5H(5,𝔽2)12yes—
308C22×C3×C5C2511yescharacteristic
309C2×D15—24no—
310C2×D15—22no—
311C2×D15—22no—
312C2×D15—24no—
313C2×D15—24no—
314C2×D15—22no—
315C2×D15—48no—
316C2×D15—44no—
317C2×C5×D3—24no—
318C2×C5×D3—22no—
319C2×C5×D3—22no—
320C2×C5×D3—24no—
321C2×C5×D3—24no—
322C2×C5×D3—22no—
323C2×C5×D3—48no—
324C2×C5×D3—44no—
325C3×C4×C5—24no—
326C3×C4×C5C22×D414yes—
327Dic15—22no—
328C3×Dic5—22no—
329C3×Dic5C22×D418yes—
330C3×Dic5C2×#4114yescomplemented
331C5×Dic3—22no—
332C23×D3—52no—
333C23×D3—51no—
334C23×D3C22×D511yescharacteristic
335C23×D3C22×D512yes—
336C2×C3×Q8—58no—
337C2×C3×Q8—54no—
338C22×C3×C4—51no—
339C22×C3×C4—52no—
340C22×C3×C4—51no—
341C22×C3×C4C22×D512yes—
342C22×C3×C4C22×D511yescharacteristic
343C22×Dic3—51no—
344C22×Dic3C22×D511yescharacteristic
345#239—1032no—
346#239—1032no—
347C2×D12—24no—
348C2×D12—44no—
349C2×D12—54no—
350C2×D12—58no—
351C2×D12—58no—
352C2×D12—58no—
353C2×D12—54no—
354C2×D12—58no—
355C2×D12—58no—
356C2×D12—104no—
357C2×D12—108no—
358C2×D12—108no—
359C2×D12—108no—
360C2×D12—104no—
361C2×D12—204no—
362C2×D12—204no—
363C2×D12C22×D514yes—
364C2×D12C22×D518yes—
365C2×C4×D3—24no—
366C2×C4×D3—58no—
367C2×C4×D3—54no—
368C2×C4×D3—58no—
369C2×C4×D3—108no—
370C2×C4×D3—108no—
371C2×C4×D3—104no—
372C2×C4×D3C22×D514yes—
373C3×C4⋊C4—58no—
374C3×C4⋊C4C22×D514yes—
375C3×C42—58no—
376C3×C42—54no—
377(C2×D3)⋊C4—54no—
378(C2×D3)⋊C4—58no—
379(C2×D3)⋊C4—54no—
380(C2×D3)⋊C4C22×D518yes—
381C4⋊Dic3—54no—
382C23×C5—32no—
383C23×C5—34no—
384C23×C5—64no—
385C23×C5—62no—
386C23×C5—62no—
387C23×C5—64no—
388C23×C5—64no—
389C23×C5—62no—
390C23×C5C23×D311yescharacteristic
391C22×D5—34no—
392C22×D5—32no—
393C22×D5—64no—
394C22×D5—62no—
395C22×D5—64no—
396C22×D5—62no—
397C22×D5—62no—
398C22×D5—64no—
399C5×D4—68no—
400C5×D4—128no—
401C2×C4×C5—24no—
402C2×C4×C5—32no—
403C2×C4×C5—62no—
404C2×C4×C5—68no—
405C2×C4×C5C2×D1214yes—
406C2×C4×C5C23×D314yes—
407C2×C4×C5C23×D312yes—
408C22⋊D5—616no—
409C22⋊D5—616no—
410C22⋊D5—616no—
411C22⋊D5—68no—
412C22⋊D5—128no—
413C2×Dic5—22no—
414C2×Dic5—32no—
415C2×Dic5—62no—
416C2×Dic5—616no—
417C2×Dic5C2×D1218yes—
418C2×Dic5#23914yescomplemented
419C2×Dic5C23×D312yes—
420C2×Dic5C23×D314yes—
421C2×Dic5C23×D312yes—
422D20—68no—
423D20—128no—
424C4×D5—68no—
425C4×D5—616no—
426Dic10C2×D12116yescomplemented
427C2×#41—158no—
428C2×#41—158no—
429C2×#41—308no—
430C2×#41—308no—
431C22×Q8—51no—
432C22×D4—31no—
433C22×D4—32no—
434C22×D4—152no—
435C22×D4—151no—
436C22×D4—152no—
437C22×D4—152no—
438C22×D4—152no—
439C22×D4—151no—
440C22×D4—152no—
441C23×C4—31no—
442C23×C4—152no—
443C23×C4—152no—
444C23×C4—151no—
445#127—158no—
446#127—1516no—
447#121—38no—
448#121—1516no—
449#121—1516no—
450#121—158no—
451C4×Q8—58no—
452C4×D4—1516no—
453C4×D4—158no—
454C2×C4⋊C4—52no—
455C2×C4⋊C4—151no—
456C2×C4⋊C4D3×D511yescharacteristic
457C2×C22⋊C4—32no—
458C2×C22⋊C4—151no—
459C2×C22⋊C4—151no—
460C2×C22⋊C4—152no—
461C2×C42—52no—
462C2×C42—51no—
463C2×C3×C5#55014yescomplemented
464C2×C3×C5C23×D411yescharacteristic
465C2×C3×C5C22×#4111yescharacteristic
466C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
467D15—44no—
468D15—42no—
469C5×D3—44no—
470C5×D3—42no—
471C23×C3C23×D511yescharacteristic
472C22×D3—22no—
473C22×D3—24no—
474C22×D3—22no—
475C22×D3—24no—
476C22×D3—22no—
477C22×D3—24no—
478C22×D3—54no—
479C22×D3—52no—
480C22×D3—104no—
481C22×D3—102no—
482C22×D3—104no—
483C22×D3—102no—
484C22×D3—104no—
485C22×D3—102no—
486C22×D3C23×D512yes—
487C22×D3C23×D514yes—
488C3×Q8—516no—
489C2×C3×C4—24no—
490C2×C3×C4—58no—
491C2×C3×C4—54no—
492C2×C3×C4—52no—
493C2×C3×C4—54no—
494C2×C3×C4—52no—
495C2×C3×C4—102no—
496C2×C3×C4D4×D514yes—
497C2×C3×C4C23×D514yes—
498C2×C3×C4C23×D512yes—
499C2×Dic3—22no—
500C2×Dic3—52no—
501C2×Dic3—102no—
502C2×Dic3C23×D512yes—
503D12—28no—
504D12—48no—
505D12—108no—
506D12—1016no—
507D12—1016no—
508D12—1016no—
509D12—108no—
510D12—208no—
511D12—208no—
512C4×D3—28no—
513C4×D3—1016no—
514C4×D3—1016no—
515C4×D3—108no—
516C22×C5—64no—
517C22×C5—62no—
518C22×C5—62no—
519C22×C5—64no—
520C22×C5—64no—
521C22×C5—62no—
522C22×C5—128no—
523C22×C5—124no—
524C22×C5C22×D1212yes—
525C22×C5C2×#23912yes—
526C22×C5#100912yes—
527C22×C5C24×D311yescharacteristic
528C2×D5—64no—
529C2×D5—62no—
530C2×D5—64no—
531C2×D5—62no—
532C2×D5—62no—
533C2×D5—64no—
534C2×D5—128no—
535C2×D5—124no—
536C4×C5—24no—
537C4×C5—62no—
538C4×C5C22×D1214yes—
539Dic5—22no—
540Dic5—62no—
541Dic5C22×D1218yes—
542Dic5C2×#23914yescomplemented
543C24—32no—
544C24—31no—
545C24—151no—
546C24—152no—
547#41—3032no—
548#41—3032no—
549C2×Q8—58no—
550C2×Q8—54no—
551C2×D4—34no—
552C2×D4—38no—
553C2×D4—64no—
554C2×D4—124no—
555C2×D4—158no—
556C2×D4—154no—
557C2×D4—158no—
558C2×D4—158no—
559C2×D4—158no—
560C2×D4—154no—
561C2×D4—158no—
562C2×D4—308no—
563C2×D4—308no—
564C2×D4—308no—
565C2×D4—304no—
566C2×D4—304no—
567C2×D4—604no—
568C2×D4—604no—
569C22×C4—31no—
570C22×C4—34no—
571C22×C4—51no—
572C22×C4—52no—
573C22×C4—51no—
574C22×C4—64no—
575C22×C4—158no—
576C22×C4—158no—
577C22×C4—151no—
578C22×C4—154no—
579C22×C4—308no—
580C22×C4—308no—
581C22×C4—304no—
582C22×C4C2×D3×D512yes—
583C22×C4C2×D3×D511yescharacteristic
584C4⋊C4—58no—
585C4⋊C4—154no—
586C4⋊C4C2×D3×D514yes—
587C22⋊C4—38no—
588C22⋊C4—154no—
589C22⋊C4—154no—
590C22⋊C4—158no—
591C42—58no—
592C42—54no—
593C3×C5C2×#55011yescharacteristic, complemented, Hall
594C22×C3C2×D4×D512yes—
595C22×C3#414412yes—
596C22×C3D5×#4112yes—
597C22×C3C24×D511yescharacteristic
598C2×D3—22no—
599C2×D3—24no—
600C2×D3—22no—
601C2×D3—24no—
602C2×D3—22no—
603C2×D3—24no—
604C2×D3—44no—
605C2×D3—48no—
606C2×D3—104no—
607C2×D3—102no—
608C2×D3—104no—
609C2×D3—102no—
610C2×D3—102no—
611C2×D3—104no—
612C2×D3—208no—
613C2×D3—204no—
614C3×C4—24no—
615C3×C4—58no—
616C3×C4—54no—
617C3×C4—102no—
618C3×C4C2×D4×D514yes—
619Dic3—22no—
620Dic3—102no—
621C2×C5—124no—
622C2×C5—122no—
623C2×C5#557714yescomplemented
624C2×C5C23×D1211yescharacteristic
625C2×C5C22×#23911yescharacteristic
626C2×C5C2×#100911yescharacteristic
627D5—124no—
628D5—122no—
629C23—34no—
630C23—32no—
631C23—62no—
632C23—64no—
633C23—62no—
634C23—64no—
635C23—64no—
636C23—62no—
637C23—152no—
638C23—154no—
639C23—304no—
640C23—302no—
641C23—302no—
642C23—304no—
643C23—302no—
644C23—304no—
645C23C22×D3×D511yescharacteristic
646Q8—516no—
647D4—68no—
648D4—128no—
649D4—3016no—
650D4—3016no—
651D4—3016no—
652D4—308no—
653D4—308no—
654D4—608no—
655D4—608no—
656C2×C4—24no—
657C2×C4—32no—
658C2×C4—58no—
659C2×C4—54no—
660C2×C4—52no—
661C2×C4—54no—
662C2×C4—52no—
663C2×C4—62no—
664C2×C4—68no—
665C2×C4—102no—
666C2×C4—152no—
667C2×C4—3016no—
668C2×C4—3016no—
669C2×C4—302no—
670C2×C4—308no—
671C2×C4D5×D1214yes—
672C2×C4C22×D3×D514yes—
673C2×C4C22×D3×D512yes—
674C2×C3#6593314yescomplemented
675C2×C3C22×D4×D511yescharacteristic
676C2×C3C2×#414411yescharacteristic
677C2×C3C2×D5×#4111yescharacteristic
678D3—42no—
679D3—44no—
680D3—204no—
681D3—202no—
682C5C2×#557711yescharacteristic, complemented, Sylow
683C22—62no—
684C22—64no—
685C22—62no—
686C22—64no—
687C22—64no—
688C22—62no—
689C22—124no—
690C22—128no—
691C22—304no—
692C22—302no—
693C22—302no—
694C22—304no—
695C22—302no—
696C22—304no—
697C22—608no—
698C22—604no—
699C22C2×D5×D1212yes—
700C22#9202712yes—
701C22D5×#23912yes—
702C22C23×D3×D511yescharacteristic
703C4—24no—
704C4—58no—
705C4—54no—
706C4—62no—
707C4—102no—
708C4—302no—
709C4C2×D5×D1214yes—
710C3C2×#6593311yescharacteristic, complemented, Sylow
711C2—122no—
712C2—124no—
713C2—604no—
714C2—602no—
715C2#1175369214yesdirect product factor
716C2C22×D5×D1211yescharacteristic
717C2C2×#9202711yescharacteristic
718C2C2×D5×#23911yescharacteristic
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×#550
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×#6769C2semidirect
2. C22×#6768C2semidirect
3. C2×#91784C2semidirect
4. C2×C5×#895C2semidirect
5. C2×C3×#4033C2semidirect
6. C2×#91451C2semidirect
7. C2×#91451C2semidirect
8. C2×C4×#1203C2semidirect
9. C2×#91420C2semidirect
10. C2×#91416C2semidirect
11. C2×#91405C2semidirect
12. #11753692C2direct (N × H)
29. C2×#6769C22semidirect
31. C2×#6768C22semidirect
34. #91784C22semidirect
36. C5×#895C22semidirect
40. C3×#4033C22semidirect
44. #91451C22semidirect
45. #91451C22semidirect
46. C4×#1203C22semidirect
47. #91420C22semidirect
48. #91416C22semidirect
49. #91405C22semidirect
60. C2×#4033D3semidirect
86. C2×C3×Dic10D4semidirect
120. C2×#895D5semidirect
158. #4033C2×D3semidirect
195. C2×C3×Dic5#41semidirect
199. C3×Dic10C2×D4semidirect
238. #895C2×D5semidirect
282. C2×Dic10D12semidirect
330. C3×Dic5C2×#41semidirect
418. C2×Dic5#239semidirect
426. Dic10C2×D12semidirect
463. C2×C3×C5#550semidirect
542. Dic5C2×#239semidirect
593. C3×C5C2×#550semidirect
623. C2×C5#5577semidirect
674. C2×C3#65933semidirect
682. C5C2×#5577semidirect
710. C3C2×#65933semidirect
715. C2#11753692direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#67692
C22×#67682
C2×#917842
C2×C5×#8952
C2×C3×#40332
C2×#914512
C2×C4×#12032
C2×#914202
C2×#914162
C2×#914052
#117536922
C2×#659333
C2×#55775