Finite Group Databasebeta

← C2×#11749175 #14425615

Subgroups — C2×#11749175 #14425615

Order 1920.

2036 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
1C2×C3×#4144C211yesmaximal, characteristic, complemented
2C2×C5×#937C211yesmaximal, characteristic, complemented
3C2×#91568C212yesmaximal, complemented
4C2×#91118C211yesmaximal, characteristic, complemented
5C2×#90995C212yesmaximal, complemented
6#11749175C218yesmaximal, direct product factor
7C2×#65321—31nomaximal, Hall
8C24×C5×D3C2211yescharacteristic, complemented
9C22×C3×C5×D4C2211yescharacteristic
10C22×C5×#67—21no—
11C22×C3×C22⋊D5—21no—
12C22×C3×C22⋊D5C2212yes—
13C3×#4144—22no—
14C3×#4144—24no—
15C3×#4144C2214yescomplemented
16C2×C3×#711—22no—
17C2×C3×D4×D5—22no—
18C2×C3×#709—21no—
19C22×#1201—22no—
20C2×#6719C2212yescomplemented
21C2×C5×#217C2211yescharacteristic, complemented
22C5×#937—22no—
23C5×#937C2214yescomplemented
24C2×C5×(C2×D3)⋊C4—21no—
25#91568—24no—
26#91568C2218yescomplemented
27C2×(C2×D3)⋊Dic5—22no—
28#91118C2214yescomplemented
29#90995C2218yescomplemented
30C2×#5244—51nomaximal, Hall
31C2×#4144D311yescharacteristic, complemented
32C2×C5×#120—31no—
33C2×#4099—32no—
34C2×#3966—31no—
35#65321—38no—
36C2×#3938—32no—
37C24×C3×C5D411yescharacteristic, complemented
38C24×C3×C5C2311yescharacteristic
39C23×C5×D3—21no—
40C23×C5×D3—22no—
41C23×C5×D3—21no—
42C23×C5×D3—22no—
43C23×C5×D3—44no—
44C23×C5×D3C2312yescomplemented
45C23×C3×D5—21no—
46C23×C3×D5D412yescomplemented
47C2×C3×C5×D4—22no—
48C2×C3×C5×D4—22no—
49C2×C3×C5×D4D412yescomplemented
50C2×C3×C5×D4C2312yes—
51C22×C3×C4×C5D411yescharacteristic, complemented
52C22×Dic15—22no—
53C2×C5×#67—24no—
54C2×C5×#67—44no—
55C22×C5×Dic3—21no—
56C2×C3×C22⋊D5—22no—
57C2×C3×C22⋊D5—24no—
58C2×C3×C22⋊D5—22no—
59C2×C3×C22⋊D5—22no—
60C2×C3×C22⋊D5—22no—
61C2×C3×C22⋊D5—22no—
62C2×C3×C22⋊D5—24no—
63C2×C3×C22⋊D5D414yescomplemented
64C2×C3×C22⋊D5C2314yes—
65C22×C3×Dic5—21no—
66C22×C3×Dic5D412yescomplemented
67C3×#711—28no—
68C3×#711—28no—
69C3×D4×D5—28no—
70C3×D4×D5—28no—
71C3×#709—24no—
72C3×#709—24no—
73C2×C3×D20—21no—
74C2×C3×C4×D5—22no—
75C2×C3×Dic10—21no—
76C2×#1201—28no—
77C2×#1201—48no—
78#6719—22no—
79#6719C2314yescomplemented
80C5×#217—21no—
81C5×#217C2312yescomplemented
82C5×(C2×D3)⋊C4—24no—
83(C2×D3)⋊Dic5—28no—
84C2×C3×H(5,𝔽2)—51no—
85C2×#937—52no—
86C2×#937D511yescharacteristic, complemented
87#5244—58no—
88C2×#834—51no—
89C2×#834—52no—
90C25×C5—31no—
91C22×C5×D4—61no—
92C22×C5×D4C2×D311yescharacteristic
93C22×C22⋊D5—21no—
94C22×C22⋊D5—62no—
95C22×C22⋊D5C2×D312yes—
96#4144—22no—
97#4144—24no—
98#4144C2×D314yescomplemented
99C2×#711—22no—
100C2×D4×D5—22no—
101C2×#709—21no—
102C5×#120—34no—
103C5×#120—62no—
104C2×C5×C22⋊C4—31no—
105C2×C5×C22⋊C4—61no—
106#4099—38no—
107#4099—64no—
108C2×C22⋊Dic5—32no—
109C2×C22⋊Dic5—62no—
110#3966—34no—
111#3938—38no—
112C2×B(4,𝔽2)—151noSylow
113C23×C3×C5—21no—
114C23×C3×C5—21no—
115C23×C3×C5—42no—
116C23×C3×C5—42no—
117C23×C3×C5C2×D412yes—
118C23×C3×C5C2×D411yescharacteristic
119C23×C3×C5C2×D412yes—
120C23×C3×C5C2×D411yescharacteristic
121C23×C3×C5C2×D412yescomplemented
122C23×C3×C5C2411yescharacteristic
123C22×C5×D3—28no—
124C22×C5×D3—24no—
125C22×C5×D3—24no—
126C22×C5×D3—22no—
127C22×C5×D3—44no—
128C22×C5×D3—48no—
129C22×C5×D3—44no—
130C22×C5×D3—42no—
131C22×C5×D3—44no—
132C22×C5×D3—42no—
133C22×C5×D3—41no—
134C22×C5×D3—41no—
135C22×C3×D5—22no—
136C22×C3×D5—24no—
137C22×C3×D5—22no—
138C22×C3×D5—44no—
139C22×C3×D5—82no—
140C22×C3×D5C2×D414yescomplemented
141C3×C5×D4—24no—
142C3×C5×D4—24no—
143C2×C3×C4×C5—21no—
144C2×C3×C4×C5—21no—
145C2×C3×C4×C5C2×D412yescomplemented
146C2×Dic15—24no—
147C2×Dic15—44no—
148C5×#67—48no—
149C2×C5×Dic3—22no—
150C2×C5×Dic3—42no—
151C3×C22⋊D5—28no—
152C3×C22⋊D5—24no—
153C3×C22⋊D5—24no—
154C3×C22⋊D5—24no—
155C3×C22⋊D5—24no—
156C2×C3×Dic5—24no—
157C2×C3×Dic5—22no—
158C2×C3×Dic5—22no—
159C2×C3×Dic5C2×D414yescomplemented
160C3×D20—24no—
161C3×C4×D5—28no—
162C3×Dic10—24no—
163#1201—416no—
164C24×D3C2×D511yescharacteristic, complemented
165C3×H(5,𝔽2)—54no—
166C3×H(5,𝔽2)—104no—
167C3×H(5,𝔽2)—102no—
168C2×C3×#41—102no—
169C2×C3×#41—101no—
170C22×C3×D4—52no—
171C22×C3×D4—102no—
172C22×C3×D4—101no—
173C22×C3×D4C2×D511yescharacteristic
174C22×#67—21no—
175C22×#67—102no—
176C2×#217—52no—
177C2×#217C2×D511yescharacteristic, complemented
178#937—22no—
179#937—58no—
180#937—104no—
181#937C2×D514yescomplemented
182C2×(C2×D3)⋊C4—21no—
183C2×(C2×D3)⋊C4—102no—
184#834—54no—
185#834—58no—
186C24×C5—32no—
187C24×C5—62no—
188C24×C5—61no—
189C24×C5—62no—
190C24×C5—61no—
191C24×C5—124no—
192C24×C5#6711yescharacteristic, complemented
193C24×C5C22×D311yescharacteristic
194C23×D5—21no—
195C23×D5#6712yescomplemented
196C2×C5×D4—22no—
197C2×C5×D4—22no—
198C2×C5×D4—64no—
199C2×C5×D4—124no—
200C2×C5×D4#6712yescomplemented
201C2×C5×D4C22×D312yes—
202C22×C4×C5—61no—
203C22×C4×C5#6711yescharacteristic, complemented
204C2×C22⋊D5—22no—
205C2×C22⋊D5—24no—
206C2×C22⋊D5—22no—
207C2×C22⋊D5—22no—
208C2×C22⋊D5—22no—
209C2×C22⋊D5—22no—
210C2×C22⋊D5—24no—
211C2×C22⋊D5—68no—
212C2×C22⋊D5—128no—
213C2×C22⋊D5#6714yescomplemented
214C2×C22⋊D5C22×D314yes—
215C22×Dic5—21no—
216C22×Dic5—62no—
217C22×Dic5#6712yescomplemented
218#711—28no—
219#711—28no—
220D4×D5—28no—
221D4×D5—28no—
222#709—24no—
223#709—24no—
224C2×D20—21no—
225C2×C4×D5—22no—
226C2×Dic10—21no—
227C5×C22⋊C4—32no—
228C5×C22⋊C4—61no—
229C5×C22⋊C4—64no—
230C22⋊Dic5—34no—
231C22⋊Dic5—62no—
232C22⋊Dic5—68no—
233C2×H(5,𝔽2)—51no—
234C2×#120—31no—
235C2×#120—152no—
236B(4,𝔽2)—158no—
237C2×#99—152no—
238C2×#99—151no—
239C22×C3×C5—22no—
240C22×C3×C5—24no—
241C22×C3×C5—22no—
242C22×C3×C5—42no—
243C22×C3×C5—41no—
244C22×C3×C5—41no—
245C22×C3×C5—42no—
246C22×C3×C5—42no—
247C22×C3×C5—81no—
248C22×C3×C5#12012yes—
249C22×C3×C5#12011yescharacteristic
250C22×C3×C5#12011yescharacteristic
251C22×C3×C5C22×D412yes—
252C22×C3×C5C22×D411yescharacteristic
253C2×C5×D3—28no—
254C2×C5×D3—24no—
255C2×C5×D3—42no—
256C2×C5×D3—44no—
257C2×C5×D3—48no—
258C2×C5×D3—44no—
259C2×C5×D3—42no—
260C2×C5×D3—44no—
261C2×C3×D5—24no—
262C2×C3×D5—44no—
263C2×C3×D5—44no—
264C2×C3×D5—82no—
265C2×C3×D5—84no—
266C3×C4×C5—22no—
267Dic15—44no—
268C3×Dic5—24no—
269C5×Dic3—42no—
270C24×C3—52no—
271C24×C3—101no—
272C24×C3C22⋊D511yescharacteristic, complemented
273C24×C3C22×D511yescharacteristic
274C23×D3—22no—
275C23×D3—21no—
276C23×D3—22no—
277C23×D3—21no—
278C23×D3—44no—
279C23×D3C22×D512yescomplemented
280C3×#41—104no—
281C3×#41—108no—
282C3×#41—108no—
283C3×#41—104no—
284C2×C3×Q8—101no—
285C2×C3×D4—22no—
286C2×C3×D4—22no—
287C2×C3×D4—54no—
288C2×C3×D4—54no—
289C2×C3×D4—101no—
290C2×C3×D4—108no—
291C2×C3×D4—108no—
292C2×C3×D4—102no—
293C2×C3×D4—104no—
294C2×C3×D4—102no—
295C2×C3×D4—102no—
296C2×C3×D4—102no—
297C2×C3×D4—102no—
298C2×C3×D4—104no—
299C2×C3×D4C22⋊D512yescomplemented
300C2×C3×D4C22×D512yes—
301C22×C3×C4—52no—
302C22×C3×C4—102no—
303C22×C3×C4—101no—
304C22×C3×C4C22⋊D511yescharacteristic, complemented
305C2×#67—24no—
306C2×#67—44no—
307C2×#67—108no—
308C2×#67—208no—
309C22×Dic3—21no—
310C22×Dic3—102no—
311#217—21no—
312#217—54no—
313#217—102no—
314#217C22×D512yescomplemented
315(C2×D3)⋊C4—24no—
316(C2×D3)⋊C4—108no—
317C23×C5—21no—
318C23×C5—21no—
319C23×C5—42no—
320C23×C5—42no—
321C23×C5—68no—
322C23×C5—64no—
323C23×C5—64no—
324C23×C5—62no—
325C23×C5—124no—
326C23×C5—122no—
327C23×C5—124no—
328C23×C5—128no—
329C23×C5—124no—
330C23×C5—122no—
331C23×C5—121no—
332C23×C5—121no—
333C23×C5C2×#6711yescharacteristic
334C23×C5C2×#6711yescharacteristic
335C23×C5C2×#6712yes—
336C23×C5C2×#6712yes—
337C23×C5C2×#6712yescomplemented
338C23×C5C23×D311yescharacteristic
339C22×D5—22no—
340C22×D5—24no—
341C22×D5—22no—
342C22×D5—44no—
343C22×D5—82no—
344C22×D5C2×#6714yescomplemented
345C5×D4—24no—
346C5×D4—24no—
347C5×D4—128no—
348C2×C4×C5—21no—
349C2×C4×C5—21no—
350C2×C4×C5—62no—
351C2×C4×C5—122no—
352C2×C4×C5C2×#6712yescomplemented
353C22⋊D5—28no—
354C22⋊D5—24no—
355C22⋊D5—24no—
356C22⋊D5—24no—
357C22⋊D5—24no—
358C22⋊D5—1216no—
359C2×Dic5—24no—
360C2×Dic5—22no—
361C2×Dic5—22no—
362C2×Dic5—64no—
363C2×Dic5—124no—
364C2×Dic5C2×#6714yescomplemented
365D20—24no—
366C4×D5—28no—
367Dic10—24no—
368C25—31no—
369H(5,𝔽2)—54no—
370H(5,𝔽2)—104no—
371H(5,𝔽2)—102no—
372C2×#41—102no—
373C2×#41—101no—
374C22×D4—52no—
375C22×D4—61no—
376C22×D4—102no—
377C22×D4—101no—
378C22×D4—302no—
379C22×D4D3×D511yescharacteristic
380#120—34no—
381#120—62no—
382#120—158no—
383#120—304no—
384C2×C22⋊C4—31no—
385C2×C22⋊C4—61no—
386C2×C22⋊C4—152no—
387C2×C22⋊C4—302no—
388#99—158no—
389#99—154no—
390C2×C3×C5—21no—
391C2×C3×C5—22no—
392C2×C3×C5—22no—
393C2×C3×C5—21no—
394C2×C3×C5—42no—
395C2×C3×C5B(4,𝔽2)12yescomplemented
396C2×C3×C5C2×#12011yescharacteristic
397C3×D5—44no—
398C5×D3—44no—
399C23×C3—21no—
400C23×C3—21no—
401C23×C3—42no—
402C23×C3—42no—
403C23×C3—54no—
404C23×C3—104no—
405C23×C3—102no—
406C23×C3—102no—
407C23×C3—204no—
408C23×C3—402no—
409C23×C3D4×D512yes—
410C23×C3D4×D512yes—
411C23×C3C2×C22⋊D511yescharacteristic
412C23×C3C2×C22⋊D511yescharacteristic
413C23×C3C2×C22⋊D512yescomplemented
414C23×C3C23×D511yescharacteristic
415C22×D3—24no—
416C22×D3—28no—
417C22×D3—24no—
418C22×D3—22no—
419C22×D3—44no—
420C22×D3—44no—
421C22×D3—48no—
422C22×D3—42no—
423C22×D3—44no—
424C22×D3—41no—
425C22×D3—42no—
426C22×D3—41no—
427C3×Q8—104no—
428C3×D4—24no—
429C3×D4—24no—
430C3×D4—104no—
431C3×D4—108no—
432C3×D4—104no—
433C3×D4—104no—
434C3×D4—104no—
435C3×D4—104no—
436C2×C3×C4—21no—
437C2×C3×C4—21no—
438C2×C3×C4—54no—
439C2×C3×C4—108no—
440C2×C3×C4—104no—
441C2×C3×C4—102no—
442C2×C3×C4—102no—
443C2×C3×C4C2×C22⋊D512yescomplemented
444#67—48no—
445#67—2016no—
446C2×Dic3—22no—
447C2×Dic3—42no—
448C2×Dic3—104no—
449C2×Dic3—204no—
450C22×C5—24no—
451C22×C5—22no—
452C22×C5—22no—
453C22×C5—41no—
454C22×C5—42no—
455C22×C5—41no—
456C22×C5—42no—
457C22×C5—42no—
458C22×C5—68no—
459C22×C5—64no—
460C22×C5—81no—
461C22×C5—124no—
462C22×C5—122no—
463C22×C5—128no—
464C22×C5—124no—
465C22×C5—124no—
466C22×C5—122no—
467C22×C5#95312yes—
468C22×C5#95311yescharacteristic
469C22×C5#95311yescharacteristic
470C22×C5C22×#6711yescharacteristic
471C22×C5C22×#6712yes—
472C2×D5—24no—
473C2×D5—44no—
474C2×D5—44no—
475C2×D5—82no—
476C2×D5—84no—
477C4×C5—22no—
478C4×C5—122no—
479Dic5—24no—
480Dic5—124no—
481C24—32no—
482C24—52no—
483C24—61no—
484C24—62no—
485C24—61no—
486C24—62no—
487C24—101no—
488C24—124no—
489C24#120111yescharacteristic, complemented
490C24C2×D3×D511yescharacteristic
491#41—104no—
492#41—108no—
493#41—108no—
494#41—104no—
495C2×Q8—101no—
496C2×D4—22no—
497C2×D4—22no—
498C2×D4—54no—
499C2×D4—54no—
500C2×D4—64no—
501C2×D4—101no—
502C2×D4—108no—
503C2×D4—108no—
504C2×D4—102no—
505C2×D4—104no—
506C2×D4—102no—
507C2×D4—102no—
508C2×D4—104no—
509C2×D4—102no—
510C2×D4—102no—
511C2×D4—124no—
512C2×D4—308no—
513C2×D4—608no—
514C2×D4#120112yescomplemented
515C2×D4C2×D3×D512yes—
516C22×C4—52no—
517C22×C4—61no—
518C22×C4—102no—
519C22×C4—101no—
520C22×C4—302no—
521C22×C4#120111yescharacteristic, complemented
522C22⋊C4—32no—
523C22⋊C4—61no—
524C22⋊C4—64no—
525C22⋊C4—154no—
526C22⋊C4—308no—
527C22⋊C4—302no—
528C3×C5C2×B(4,𝔽2)11yescharacteristic, complemented, Hall
529C22×C3—22no—
530C22×C3—24no—
531C22×C3—22no—
532C22×C3—42no—
533C22×C3—41no—
534C22×C3—41no—
535C22×C3—42no—
536C22×C3—42no—
537C22×C3—81no—
538C22×C3—104no—
539C22×C3—204no—
540C22×C3—204no—
541C22×C3—402no—
542C22×C3—404no—
543C22×C3#408311yescharacteristic
544C22×C3#408312yes—
545C22×C3#408311yescharacteristic
546C22×C3C2×D4×D512yes—
547C22×C3C22×C22⋊D511yescharacteristic
548C2×D3—24no—
549C2×D3—28no—
550C2×D3—42no—
551C2×D3—44no—
552C2×D3—44no—
553C2×D3—48no—
554C2×D3—44no—
555C2×D3—42no—
556C3×C4—22no—
557C3×C4—104no—
558Dic3—42no—
559Dic3—204no—
560C2×C5—22no—
561C2×C5—21no—
562C2×C5—22no—
563C2×C5—21no—
564C2×C5—42no—
565C2×C5—124no—
566C2×C5#524412yescomplemented
567C2×C5C2×#95311yescharacteristic
568D5—44no—
569C23—21no—
570C23—21no—
571C23—42no—
572C23—42no—
573C23—54no—
574C23—64no—
575C23—68no—
576C23—62no—
577C23—64no—
578C23—104no—
579C23—102no—
580C23—102no—
581C23—122no—
582C23—124no—
583C23—124no—
584C23—124no—
585C23—128no—
586C23—121no—
587C23—122no—
588C23—121no—
589C23—204no—
590C23—402no—
591C23C2×#120111yescharacteristic
592C23C2×#120111yescharacteristic
593C23C2×#120112yescomplemented
594C23D5×#6712yes—
595C23D5×#6712yes—
596C23C22×D3×D511yescharacteristic
597Q8—104no—
598D4—24no—
599D4—24no—
600D4—104no—
601D4—108no—
602D4—104no—
603D4—104no—
604D4—104no—
605D4—104no—
606D4—128no—
607D4—6016no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—54no—
611C2×C4—62no—
612C2×C4—108no—
613C2×C4—104no—
614C2×C4—102no—
615C2×C4—102no—
616C2×C4—122no—
617C2×C4—304no—
618C2×C4—604no—
619C2×C4C2×#120112yescomplemented
620C2×C3—21no—
621C2×C3—22no—
622C2×C3—21no—
623C2×C3—22no—
624C2×C3—42no—
625C2×C3—204no—
626C2×C3#6532112yescomplemented
627C2×C3C2×#408311yescharacteristic
628D3—44no—
629C5C2×#524411yescharacteristic, complemented, Sylow
630C22—22no—
631C22—24no—
632C22—22no—
633C22—41no—
634C22—42no—
635C22—41no—
636C22—42no—
637C22—42no—
638C22—64no—
639C22—68no—
640C22—81no—
641C22—104no—
642C22—122no—
643C22—124no—
644C22—124no—
645C22—128no—
646C22—124no—
647C22—122no—
648C22—204no—
649C22—204no—
650C22—402no—
651C22—404no—
652C22#9156311yescharacteristic
653C22#9156312yes—
654C22#9156311yescharacteristic
655C22C22×#120111yescharacteristic
656C22C2×D5×#6712yes—
657C4—22no—
658C4—104no—
659C4—122no—
660C4—604no—
661C3C2×#6532111yescharacteristic, complemented, Sylow
662C2—21no—
663C2—22no—
664C2—21no—
665C2—22no—
666C2—42no—
667C2—124no—
668C2—204no—
669C2#1174917512yesdirect product factor
670C2C2×#9156311yescharacteristic
subgroupG/H
centerC22#91563
commutator, cosocleC23×C3×C5C24
FrattiniC23C22×D3×D5
FittingC22×C3×C5×D4C22
socleC22×C3×C5#120
hypercenterC22×D4D3×D5
hypocenterC3×C5C2×B(4,𝔽2)
LCSG ▷ C23×C3×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C24 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C2×C3×#4144C2semidirect
2. C2×C5×#937C2semidirect
3. C2×#91568C2semidirect
4. C2×#91118C2semidirect
5. C2×#90995C2semidirect
6. #11749175C2direct (N × H)
8. C24×C5×D3C22semidirect
15. C3×#4144C22semidirect
20. C2×#6719C22semidirect
21. C2×C5×#217C22semidirect
23. C5×#937C22semidirect
26. #91568C22semidirect
28. #91118C22semidirect
29. #90995C22semidirect
31. C2×#4144D3semidirect
37. C24×C3×C5D4semidirect
44. C23×C5×D3C23semidirect
46. C23×C3×D5D4semidirect
49. C2×C3×C5×D4D4semidirect
51. C22×C3×C4×C5D4semidirect
63. C2×C3×C22⋊D5D4semidirect
66. C22×C3×Dic5D4semidirect
79. #6719C23semidirect
81. C5×#217C23semidirect
86. C2×#937D5semidirect
98. #4144C2×D3semidirect
121. C23×C3×C5C2×D4semidirect
140. C22×C3×D5C2×D4semidirect
145. C2×C3×C4×C5C2×D4semidirect
159. C2×C3×Dic5C2×D4semidirect
164. C24×D3C2×D5semidirect
177. C2×#217C2×D5semidirect
181. #937C2×D5semidirect
192. C24×C5#67semidirect
195. C23×D5#67semidirect
200. C2×C5×D4#67semidirect
203. C22×C4×C5#67semidirect
213. C2×C22⋊D5#67semidirect
217. C22×Dic5#67semidirect
272. C24×C3C22⋊D5semidirect
279. C23×D3C22×D5semidirect
299. C2×C3×D4C22⋊D5semidirect
304. C22×C3×C4C22⋊D5semidirect
314. #217C22×D5semidirect
337. C23×C5C2×#67semidirect
344. C22×D5C2×#67semidirect
352. C2×C4×C5C2×#67semidirect
364. C2×Dic5C2×#67semidirect
395. C2×C3×C5B(4,𝔽2)semidirect
413. C23×C3C2×C22⋊D5semidirect
443. C2×C3×C4C2×C22⋊D5semidirect
489. C24#1201semidirect
514. C2×D4#1201semidirect
521. C22×C4#1201semidirect
528. C3×C5C2×B(4,𝔽2)semidirect
566. C2×C5#5244semidirect
593. C23C2×#1201semidirect
619. C2×C4C2×#1201semidirect
626. C2×C3#65321semidirect
629. C5C2×#5244semidirect
661. C3C2×#65321semidirect
669. C2#11749175direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#41442
C2×C5×#9372
C2×#915682
C2×#911182
C2×#909952
#117491752
C2×#653213
C2×#52445