Finite Group Databasebeta

← C2×#11754303 #14480551

Subgroups — C2×#11754303 #14480551

Order 1920.

3024 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×C3×#709C211yesmaximal, characteristic
2C22×D5×Dic6C211yesmaximal, characteristic, complemented
3C2×#91813C211yesmaximal, characteristic, complemented
4C2×C5×#924C211yesmaximal, characteristic, complemented
5C2×#91548C212yesmaximal, complemented
6C2×#91534C212yesmaximal, complemented
7#11754303C2116yesmaximal, direct product factor
8C2×#91407C212yesmaximal, complemented
9C2×#91360C211yesmaximal, characteristic, complemented
10C2×#91359C211yesmaximal, characteristic, complemented
11C2×#91358C211yesmaximal, characteristic, complemented
12C2×#91327C212yesmaximal, complemented
13C2×#65962—31nomaximal, Hall
14C23×C3×C4×C5C2211yescharacteristic
15C22×Dic30C2211yescharacteristic
16C22×C5×Dic6C2211yescharacteristic
17C22×C3×C22⋊D5C2211yescharacteristic
18C22×C3×C22⋊D5C2211yescharacteristic
19C2×C3×#709—28no—
20C2×C3×#709C2218yes—
21C22×C3×D20C2211yescharacteristic
22C22×C3×C4×D5C2211yescharacteristic
23C22×C3×C4×D5C2211yescharacteristic
24C22×C3×Dic10C2211yescharacteristic
25C22×#1204C2212yes—
26C22×D5×Dic3C2212yes—
27C2×D5×Dic6—28no—
28C2×D5×Dic6C2218yescomplemented
29C2×#6719C2212yes—
30C2×C4⋊Dic15C2211yescharacteristic
31#91813C2218yescomplemented
32C2×#6712C2212yes—
33C2×C5×#217C2212yes—
34C2×C5×C4⋊Dic3C2211yescharacteristic
35C5×#924C2218yescomplemented
36C2×C5×Dic3⋊C4C2212yes—
37#91548C22116yescomplemented
38C2×Dic3⋊Dic5C2212yes—
39C2×#6669C2212yes—
40C2×#6665C2212yes—
41C2×#6665C2212yes—
42C2×#6665C2212yes—
43#91534C22116yescomplemented
44C2×Dic3×Dic5C2212yes—
45#91407C22116yescomplemented
46#91360C2218yescomplemented
47#91359C2218yescomplemented
48#91358C2218yescomplemented
49#91327C22116yescomplemented
50C2×#5825—51nomaximal, Hall
51C22×Q8×D5—31no—
52C22×#709D311yescharacteristic
53C2×C5×C22⋊Q8—31no—
54C2×#4092—31no—
55C2×#4070—31no—
56#65962—316no—
57C2×#4043—31no—
58C2×#4040—32no—
59C2×#4038—31no—
60C2×#4034—32no—
61C2×#4031—32no—
62C2×#4029—32no—
63C24×C3×C5C2311yescharacteristic
64C23×C3×D5C2311yescharacteristic
65C23×C3×D5C2311yescharacteristic
66C22×C3×C4×C5—24no—
67C22×C3×C4×C5C2311yescharacteristic
68C22×C3×C4×C5C2314yes—
69C22×C3×C4×C5C2311yescharacteristic
70C22×Dic15C2312yes—
71C22×Dic15C2312yes—
72C2×Dic30—24no—
73C2×Dic30C2314yes—
74C22×C5×Dic3C2312yes—
75C22×C5×Dic3C2312yes—
76C2×C5×Dic6—24no—
77C2×C5×Dic6C2314yes—
78C2×C3×C22⋊D5—24no—
79C2×C3×C22⋊D5—24no—
80C2×C3×C22⋊D5C2314yes—
81C2×C3×C22⋊D5C2314yes—
82C22×C3×Dic5C2311yescharacteristic
83C22×C3×Dic5C2311yescharacteristic
84C3×#709—232no—
85C2×C3×D20—24no—
86C2×C3×D20C2314yes—
87C2×C3×C4×D5—24no—
88C2×C3×C4×D5D418yes—
89C2×C3×C4×D5C2314yes—
90C2×C3×C4×D5C2314yes—
91C2×C3×Dic10—24no—
92C2×C3×Dic10C2314yes—
93C2×#1204—28no—
94C2×#1204C2318yes—
95C2×D5×Dic3—28no—
96C2×D5×Dic3C2318yes—
97D5×Dic6—232no—
98#6719C2318yes—
99C4⋊Dic15C2314yes—
100#6712C2318yes—
101C5×#217C2318yes—
102C5×C4⋊Dic3C2314yes—
103C5×Dic3⋊C4C2318yes—
104Dic3⋊Dic5C2318yes—
105#6669C2318yes—
106#6665C2318yes—
107#6665C2318yes—
108#6665C2318yes—
109Dic3×Dic5C2318yes—
110C22×C3×#41—51no—
111C23×Dic6—51no—
112#5825—516no—
113C2×#944—52no—
114C2×#936—52no—
115C2×#935—52no—
116C2×#935—52no—
117C2×#926—51no—
118C2×#924—51no—
119C2×#924—51no—
120C2×#924—51no—
121C2×#924D511yescharacteristic, complemented
122C22×C5×Q8—31no—
123C23×C4×C5C2×D311yescharacteristic
124C22×C22⋊D5C2×D311yescharacteristic
125C22×C22⋊D5C2×D311yescharacteristic
126C2×Q8×D5—38no—
127C2×Q8×D5—68no—
128C2×#709—28no—
129C2×#709C2×D318yes—
130C22×D20C2×D311yescharacteristic
131C22×C4×D5—32no—
132C22×C4×D5C2×D311yescharacteristic
133C22×C4×D5C2×D311yescharacteristic
134C22×Dic10—31no—
135C22×Dic10—32no—
136C22×Dic10C2×D311yescharacteristic
137C5×C22⋊Q8—38no—
138C2×C5×C4⋊C4—32no—
139C2×C5×C4⋊C4—31no—
140C2×C5×C22⋊C4—32no—
141C2×C22⋊Dic5—32no—
142#4092—38no—
143C2×#685—32no—
144C2×#685—32no—
145C2×#685—32no—
146C2×C4⋊Dic5—31no—
147C2×C4⋊Dic5—32no—
148#4070—38no—
149C2×#683—32no—
150C2×#683—32no—
151C2×C4×Dic5—32no—
152#4043—38no—
153#4040—316no—
154#4038—38no—
155#4034—316no—
156#4031—316no—
157#4029—316no—
158C2×#536—151noSylow
159C23×C3×C5—22no—
160C23×C3×C5—22no—
161C23×C3×C5—22no—
162C23×C3×C5C2412yes—
163C23×C3×C5C2411yescharacteristic
164C22×C3×D5—22no—
165C22×C3×D5—22no—
166C22×C3×D5—22no—
167C22×C3×D5—22no—
168C22×C3×D5—22no—
169C22×C3×D5C2×D414yes—
170C22×C3×D5C2412yes—
171C22×C3×D5C2412yes—
172C2×C3×C4×C5—22no—
173C2×C3×C4×C5—28no—
174C2×C3×C4×C5C2×D414yes—
175C2×C3×C4×C5C2412yes—
176C2×C3×C4×C5C2412yes—
177C2×Dic15—24no—
178C2×Dic15—24no—
179C2×Dic15C2414yes—
180C2×Dic15C2414yes—
181Dic30—28no—
182C2×C5×Dic3—24no—
183C2×C5×Dic3—24no—
184C2×C5×Dic3C2414yes—
185C2×C5×Dic3C2414yes—
186C5×Dic6—28no—
187C3×C22⋊D5—28no—
188C3×C22⋊D5—28no—
189C2×C3×Dic5—22no—
190C2×C3×Dic5C2×D414yes—
191C2×C3×Dic5C2412yes—
192C2×C3×Dic5C2412yes—
193C3×D20—28no—
194C3×C4×D5—28no—
195C3×C4×D5C2×D4116yes—
196C3×Dic10—28no—
197#1204—216no—
198D5×Dic3—216no—
199C2×C3×#41—58no—
200C2×C3×#41—108no—
201C22×C3×Q8—51no—
202C22×C3×D4—51no—
203C22×C3×D4—51no—
204C22×C3×D4—51no—
205C23×C3×C4—51no—
206C23×C3×C4—51no—
207C23×C3×C4C2×D511yescharacteristic
208C23×Dic3—52no—
209C22×Dic6—51no—
210C22×Dic6—52no—
211C22×Dic6—58no—
212C22×Dic6—108no—
213C22×Dic6C2×D511yescharacteristic
214C2×#217—52no—
215C2×#217—52no—
216C2×#217—52no—
217C2×#217—52no—
218C2×#217C2×D512yes—
219#944—516no—
220#936—516no—
221#935—516no—
222#935—516no—
223#926—58no—
224C2×C4⋊Dic3—51no—
225C2×C4⋊Dic3C2×D511yescharacteristic
226#924—58no—
227#924—58no—
228#924—58no—
229#924C2×D518yescomplemented
230C2×Dic3⋊C4—52no—
231C2×Dic3⋊C4—52no—
232C2×Dic3⋊C4—52no—
233C2×Dic3⋊C4C2×D512yes—
234C2×C4×Dic3—52no—
235C24×C5C22×D311yescharacteristic
236C23×D5C22×D311yescharacteristic
237C23×D5C22×D311yescharacteristic
238C2×C5×Q8—34no—
239C2×C5×Q8—64no—
240C22×C4×C5—24no—
241C22×C4×C5—32no—
242C22×C4×C5—32no—
243C22×C4×C5C22×D311yescharacteristic
244C22×C4×C5C22×D314yes—
245C22×C4×C5C22×D311yescharacteristic
246C2×C22⋊D5—24no—
247C2×C22⋊D5—24no—
248C2×C22⋊D5C22×D314yes—
249C2×C22⋊D5C22×D314yes—
250C22×Dic5—32no—
251C22×Dic5—32no—
252C22×Dic5C22×D311yescharacteristic
253C22×Dic5C22×D311yescharacteristic
254Q8×D5—632no—
255#709—232no—
256C2×D20—24no—
257C2×D20C22×D314yes—
258C2×C4×D5—24no—
259C2×C4×D5—38no—
260C2×C4×D5—68no—
261C2×C4×D5#6718yes—
262C2×C4×D5C22×D314yes—
263C2×C4×D5C22×D314yes—
264C2×Dic10—24no—
265C2×Dic10—34no—
266C2×Dic10—38no—
267C2×Dic10—64no—
268C2×Dic10—68no—
269C2×Dic10C22×D314yes—
270C5×C4⋊C4—38no—
271C5×C4⋊C4—34no—
272C5×C22⋊C4—38no—
273C22⋊Dic5—38no—
274#685—38no—
275#685—38no—
276#685—38no—
277C4⋊Dic5—34no—
278C4⋊Dic5—38no—
279#683—38no—
280#683—38no—
281C4×Dic5—38no—
282C22×#41—51no—
283C23×Q8—151no—
284#536—1516no—
285C2×C4⋊Q8—152no—
286C2×#124—152no—
287C2×#123—152no—
288C2×#123—152no—
289C2×C22⋊Q8—31no—
290C2×C22⋊Q8—151no—
291C2×C22⋊Q8—151no—
292C2×C22⋊Q8—151no—
293C2×#117—151no—
294C22×C3×C5—22no—
295C22×C3×C5—22no—
296C22×C3×C5—22no—
297C22×C3×C5—44no—
298C22×C3×C5C22×D412yes—
299C22×C3×C52−1+412yes—
300C22×C3×C52−1+412yes—
301C22×C3×C5C2511yescharacteristic
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×D5C22×D414yes—
310C3×C4×C5—22no—
311C3×C4×C5C22×D414yes—
312Dic15—24no—
313Dic15—24no—
314C3×Dic5—22no—
315C3×Dic5C22×D414yes—
316C5×Dic3—24no—
317C5×Dic3—24no—
318C24×C3—51no—
319C24×C3—51no—
320C24×C3C22×D511yescharacteristic
321C3×#41—1032no—
322C2×C3×Q8—54no—
323C2×C3×Q8—104no—
324C2×C3×D4—54no—
325C2×C3×D4—54no—
326C2×C3×D4—54no—
327C2×C3×D4—104no—
328C2×C3×D4—104no—
329C2×C3×D4—104no—
330C22×C3×C4—24no—
331C22×C3×C4—51no—
332C22×C3×C4—58no—
333C22×C3×C4—54no—
334C22×C3×C4—51no—
335C22×C3×C4—54no—
336C22×C3×C4—104no—
337C22×C3×C4C22×D511yescharacteristic
338C22×C3×C4C22×D514yes—
339C22×C3×C4C22×D511yescharacteristic
340C22×Dic3—52no—
341C22×Dic3—52no—
342C22×Dic3—58no—
343C22×Dic3—108no—
344C22×Dic3C22×D512yes—
345C22×Dic3C22×D512yes—
346C2×Dic6—24no—
347C2×Dic6—54no—
348C2×Dic6—58no—
349C2×Dic6—1032no—
350C2×Dic6—108no—
351C2×Dic6—104no—
352C2×Dic6C22×D514yes—
353#217—58no—
354#217—58no—
355#217—58no—
356#217—58no—
357#217C22×D518yes—
358C4⋊Dic3—54no—
359C4⋊Dic3C22×D514yes—
360Dic3⋊C4—58no—
361Dic3⋊C4—58no—
362Dic3⋊C4—58no—
363Dic3⋊C4C22×D518yes—
364C4×Dic3—58no—
365C23×C5—22no—
366C23×C5—22no—
367C23×C5—22no—
368C23×C5C23×D312yes—
369C23×C5C23×D311yescharacteristic
370C22×D5—22no—
371C22×D5—22no—
372C22×D5—22no—
373C22×D5—22no—
374C22×D5—22no—
375C22×D5C2×#6714yes—
376C22×D5C23×D312yes—
377C22×D5C23×D312yes—
378C5×Q8—68no—
379C2×C4×C5—22no—
380C2×C4×C5—28no—
381C2×C4×C5—34no—
382C2×C4×C5—34no—
383C2×C4×C5—64no—
384C2×C4×C5—64no—
385C2×C4×C5C2×#6714yes—
386C2×C4×C5C23×D312yes—
387C2×C4×C5C23×D312yes—
388C22⋊D5—28no—
389C22⋊D5—28no—
390C2×Dic5—22no—
391C2×Dic5—34no—
392C2×Dic5—34no—
393C2×Dic5—64no—
394C2×Dic5—64no—
395C2×Dic5C2×#6714yes—
396C2×Dic5C23×D312yes—
397C2×Dic5C23×D312yes—
398D20—28no—
399C4×D5—28no—
400C4×D5—616no—
401C4×D5C2×#67116yes—
402Dic10—28no—
403Dic10—68no—
404Dic10—616no—
405C2×#41—58no—
406C2×#41—108no—
407C22×Q8—31no—
408C22×Q8—51no—
409C22×Q8—152no—
410C22×Q8—158no—
411C22×Q8—151no—
412C22×Q8—308no—
413C22×D4—51no—
414C22×D4—51no—
415C22×D4—51no—
416C23×C4—51no—
417C23×C4—51no—
418C23×C4—152no—
419C23×C4D3×D511yescharacteristic
420C4⋊Q8—1516no—
421#124—1516no—
422#123—1516no—
423#123—1516no—
424C22⋊Q8—38no—
425C22⋊Q8—158no—
426C22⋊Q8—158no—
427C22⋊Q8—158no—
428#117—158no—
429C2×C4⋊C4—31no—
430C2×C4⋊C4—32no—
431C2×C4⋊C4—152no—
432C2×C4⋊C4—152no—
433C2×C4⋊C4—151no—
434C2×C4⋊C4—152no—
435C2×C22⋊C4—32no—
436C2×C22⋊C4—152no—
437C2×C22⋊C4—152no—
438C2×C22⋊C4—152no—
439C2×C22⋊C4—152no—
440C2×C42—152no—
441C2×C3×C5—42no—
442C2×C3×C5#53614yescomplemented
443C2×C3×C5C23×D411yescharacteristic
444C2×C3×C5C2×2−1+411yescharacteristic
445C2×C3×C5C2×2−1+411yescharacteristic
446C3×D5—24no—
447C3×D5—42no—
448C23×C3—22no—
449C23×C3—22no—
450C23×C3—22no—
451C23×C3—54no—
452C23×C3—52no—
453C23×C3—52no—
454C23×C3—102no—
455C23×C3—102no—
456C23×C3—102no—
457C23×C3—102no—
458C23×C3—102no—
459C23×C3C23×D512yes—
460C23×C3C23×D511yescharacteristic
461C3×Q8—108no—
462C3×D4—108no—
463C3×D4—108no—
464C3×D4—108no—
465C2×C3×C4—22no—
466C2×C3×C4—28no—
467C2×C3×C4—54no—
468C2×C3×C4—52no—
469C2×C3×C4—516no—
470C2×C3×C4—52no—
471C2×C3×C4—102no—
472C2×C3×C4—108no—
473C2×C3×C4D4×D514yes—
474C2×C3×C4C23×D512yes—
475C2×C3×C4C23×D512yes—
476C2×Dic3—24no—
477C2×Dic3—24no—
478C2×Dic3—54no—
479C2×Dic3—54no—
480C2×Dic3—1016no—
481C2×Dic3—104no—
482C2×Dic3—104no—
483C2×Dic3C23×D514yes—
484C2×Dic3C23×D514yes—
485Dic6—28no—
486Dic6—1016no—
487Dic6—108no—
488C22×C5—22no—
489C22×C5—22no—
490C22×C5—22no—
491C22×C5—44no—
492C22×C5#101012yes—
493C22×C5#101012yes—
494C22×C5C22×#6712yes—
495C22×C5C24×D311yescharacteristic
496C2×D5—22no—
497C2×D5—22no—
498C2×D5—28no—
499C2×D5—22no—
500C2×D5—22no—
501C2×D5—22no—
502C2×D5—44no—
503C2×D5C22×#6714yes—
504C4×C5—22no—
505C4×C5—64no—
506C4×C5—64no—
507C4×C5C22×#6714yes—
508Dic5—22no—
509Dic5—64no—
510Dic5—64no—
511Dic5C22×#6714yes—
512C24—51no—
513C24—51no—
514C24C2×D3×D511yescharacteristic
515#41—1032no—
516C2×Q8—34no—
517C2×Q8—54no—
518C2×Q8—64no—
519C2×Q8—104no—
520C2×Q8—158no—
521C2×Q8—154no—
522C2×Q8—308no—
523C2×Q8—3032no—
524C2×Q8—304no—
525C2×D4—54no—
526C2×D4—54no—
527C2×D4—54no—
528C2×D4—104no—
529C2×D4—104no—
530C2×D4—104no—
531C22×C4—24no—
532C22×C4—32no—
533C22×C4—32no—
534C22×C4—51no—
535C22×C4—58no—
536C22×C4—54no—
537C22×C4—51no—
538C22×C4—54no—
539C22×C4—104no—
540C22×C4—158no—
541C22×C4—152no—
542C22×C4—152no—
543C22×C4—308no—
544C22×C4C2×D3×D514yes—
545C22×C4C2×D3×D511yescharacteristic
546C22×C4C2×D3×D511yescharacteristic
547C4⋊C4—34no—
548C4⋊C4—38no—
549C4⋊C4—158no—
550C4⋊C4—158no—
551C4⋊C4—154no—
552C4⋊C4—158no—
553C22⋊C4—38no—
554C22⋊C4—158no—
555C22⋊C4—158no—
556C22⋊C4—158no—
557C22⋊C4—158no—
558C42—158no—
559C3×C5C2×#53611yescharacteristic, complemented, Hall
560C22×C3—22no—
561C22×C3—22no—
562C22×C3—22no—
563C22×C3—44no—
564C22×C3—54no—
565C22×C3—108no—
566C22×C3—102no—
567C22×C3—102no—
568C22×C3—102no—
569C22×C3—102no—
570C22×C3—102no—
571C22×C3—204no—
572C22×C3C2×D4×D512yes—
573C22×C3#414712yes—
574C22×C3#415012yes—
575C22×C3C24×D511yescharacteristic
576C3×C4—22no—
577C3×C4—54no—
578C3×C4—102no—
579C3×C4C2×D4×D514yes—
580Dic3—24no—
581Dic3—24no—
582Dic3—104no—
583Dic3—104no—
584C2×C5—42no—
585C2×C5#582514yescomplemented
586C2×C5C2×#101011yescharacteristic
587C2×C5C2×#101011yescharacteristic
588C2×C5C23×#6711yescharacteristic
589D5—24no—
590D5—42no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—54no—
595C23—52no—
596C23—52no—
597C23—102no—
598C23—102no—
599C23—102no—
600C23—102no—
601C23—102no—
602C23C22×D3×D512yes—
603C23C22×D3×D511yescharacteristic
604Q8—68no—
605Q8—108no—
606Q8—3016no—
607Q8—308no—
608D4—108no—
609D4—108no—
610D4—108no—
611C2×C4—22no—
612C2×C4—28no—
613C2×C4—34no—
614C2×C4—34no—
615C2×C4—54no—
616C2×C4—52no—
617C2×C4—516no—
618C2×C4—52no—
619C2×C4—64no—
620C2×C4—64no—
621C2×C4—102no—
622C2×C4—108no—
623C2×C4—154no—
624C2×C4—154no—
625C2×C4—3016no—
626C2×C4—304no—
627C2×C4—304no—
628C2×C4D5×#6714yes—
629C2×C4C22×D3×D512yes—
630C2×C4C22×D3×D512yes—
631C2×C3—42no—
632C2×C3—104no—
633C2×C3—202no—
634C2×C3#6596214yescomplemented
635C2×C3C22×D4×D511yescharacteristic
636C2×C3C2×#414711yescharacteristic
637C2×C3C2×#415011yescharacteristic
638C5C2×#582511yescharacteristic, complemented, Sylow
639C22—22no—
640C22—22no—
641C22—22no—
642C22—44no—
643C22—54no—
644C22—108no—
645C22—102no—
646C22—102no—
647C22—102no—
648C22—102no—
649C22—102no—
650C22—204no—
651C22#9200012yes—
652C22#9200112yes—
653C22C2×D5×#6712yes—
654C22C23×D3×D511yescharacteristic
655C4—22no—
656C4—54no—
657C4—64no—
658C4—64no—
659C4—102no—
660C4—304no—
661C4—304no—
662C4C2×D5×#6714yes—
663C3C2×#6596211yescharacteristic, complemented, Sylow
664C2—42no—
665C2—104no—
666C2—202no—
667C2#1175430314yesdirect product factor
668C2C2×#9200011yescharacteristic
669C2C2×#9200111yescharacteristic
670C2C22×D5×#6711yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC23×C3×C4×C5C22
socleC23×C3×C5C24
prime radicalC22×C3×#709C2
hypercenterC23×C4D3×D5
hypocenterC3×C5C2×#536
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
2. C22×D5×Dic6C2semidirect
3. C2×#91813C2semidirect
4. C2×C5×#924C2semidirect
5. C2×#91548C2semidirect
6. C2×#91534C2semidirect
7. #11754303C2direct (N × H)
8. C2×#91407C2semidirect
9. C2×#91360C2semidirect
10. C2×#91359C2semidirect
11. C2×#91358C2semidirect
12. C2×#91327C2semidirect
28. C2×D5×Dic6C22semidirect
31. #91813C22semidirect
35. C5×#924C22semidirect
37. #91548C22semidirect
43. #91534C22semidirect
45. #91407C22semidirect
46. #91360C22semidirect
47. #91359C22semidirect
48. #91358C22semidirect
49. #91327C22semidirect
121. C2×#924D5semidirect
229. #924C2×D5semidirect
442. C2×C3×C5#536semidirect
559. C3×C5C2×#536semidirect
585. C2×C5#5825semidirect
634. C2×C3#65962semidirect
638. C5C2×#5825semidirect
663. C3C2×#65962semidirect
667. C2#11754303direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#7092
C22×D5×Dic62
C2×#918132
C2×C5×#9242
C2×#915482
C2×#915342
#117543032
C2×#914072
C2×#913602
C2×#913592
C2×#913582
C2×#913272
C2×#659623
C2×#58255