Finite Group Databasebeta

← C4×#91499 #14416239

Subgroups — C4×#91499 #14416239

Order 1920.

1000 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#6819C211yesmaximal, characteristic, complemented
2C2×#91499C211yesmaximal, characteristic
3C4×#6768C211yesmaximal, characteristic, complemented
4C4×C5×#213C211yesmaximal, characteristic, complemented
5C3×C4×#687C211yesmaximal, characteristic, complemented
6#11749017C211yesmaximal, characteristic, complemented
7#11748994C211yesmaximal, characteristic, complemented
8#11748969C211yesmaximal, characteristic, complemented
9#11747508C211yesmaximal, characteristic, complemented
10#11747440C211yesmaximal, characteristic, complemented
11#11747271C211yesmaximal, characteristic, complemented
12#11747234C211yesmaximal, characteristic, complemented
13C4×#6662C211yesmaximal, characteristic, complemented
14C4×#6659C211yesmaximal, characteristic, complemented
15C4×#6648C211yesmaximal, characteristic, complemented
16C4×#4058—31nomaximal, Hall
17C2×#6819C2211yescharacteristic
18C2×#6768C2211yescharacteristic
19C3×C4×C5×D4C2211yescharacteristic
20D4×Dic15C2211yescharacteristic
21C4×#1220—21no—
22C2×C4×Dic15—21no—
23#91781C2211yescharacteristic
24#91776C2211yescharacteristic
25#91770—21no—
26#91766—21no—
27C42×D15C2211yescharacteristic
28C4×Dic30C2211yescharacteristic
29C2×C5×#213C2211yescharacteristic
30C4×C5×D12C2211yescharacteristic
31C2×C3×#687C2211yescharacteristic
32C3×C4×Dic10C2211yescharacteristic
33#91499C418yesdirect product factor
34C4×#1203—21no—
35#91435C2211yescharacteristic
36#91406—21no—
37#91400—21no—
38C4×D3×Dic5—21no—
39#91347C2211yescharacteristic
40#91331C2211yescharacteristic
41C2×#6662C2211yescharacteristic
42C2×#6659C2211yescharacteristic
43C2×#6648C2211yescharacteristic
44C2×#6648C2211yescharacteristic
45C5×#832C2211yescharacteristic
46C5×#809C2211yescharacteristic
47C5×#807C2211yescharacteristic
48C4×C5×C3⋊C8C2211yescharacteristic
49C3×#3964C2211yescharacteristic
50C3×#3942C2211yescharacteristic
51C3×#3940C2211yescharacteristic
52C3×C4×#168C2211yescharacteristic
53#90990C2211yescharacteristic
54#90985C2211yescharacteristic
55#90975C2211yescharacteristic
56#90974C2211yescharacteristic
57#90971C2211yescharacteristic
58#90967C2211yescharacteristic
59#90951C2211yescharacteristic
60#90951C2211yescharacteristic
61C4×#916—51nomaximal, Hall
62C2×#4058—31no—
63C4×#711—31no—
64C4×#711—31no—
65C4×C5×D8—31no—
66D8×Dic5—31no—
67C4×#687—31no—
68C4×#687D311yescharacteristic, complemented
69#65169—31no—
70#65162—31no—
71#65061—31no—
72#65061—31no—
73#65047—31no—
74#65047—31no—
75C4×Dic20—31no—
76C4×C8×D5—31no—
77C2×C3×C5×D4C2311yescharacteristic
78C22×C3×C4×C5—21no—
79C2×#1220—21no—
80C22×Dic15—21no—
81C22×Dic15—21no—
82#6819—22no—
83#6819C2×C414yescomplemented
84C2×C4×D15D411yescharacteristic
85C2×C4×D15D411yescharacteristic
86C2×C4×D15C2311yescharacteristic
87C2×Dic30C2311yescharacteristic
88C2×C5×D12C2311yescharacteristic
89C2×C4×C5×D3—21no—
90C2×C3×Dic10C2311yescharacteristic
91C2×#1203—21no—
92C2×D3×Dic5—21no—
93C2×D3×Dic5—21no—
94#6768—22no—
95#6768C2×C414yescomplemented
96C3×C5×C4⋊C4C2311yescharacteristic
97C3×C5×C22⋊C4—21no—
98C3×C42×C5C2311yescharacteristic
99#6719—21no—
100#6714—21no—
101C4⋊Dic15C2311yescharacteristic
102#6712—21no—
103#6712—21no—
104C4×Dic15—21no—
105C4×Dic15—21no—
106C4×Dic15—21no—
107C4×Dic15D411yescharacteristic
108C4×Dic15D411yescharacteristic
109C4×Dic15C2311yescharacteristic
110C5×#213C2×C414yescomplemented
111C5×(C2×D3)⋊C4—21no—
112C5×C4⋊Dic3C2311yescharacteristic
113C2×C5×C3⋊C8C2311yescharacteristic
114C2×C5×C3⋊C8C2311yescharacteristic
115C3×#687C2×C414yescomplemented
116C3×C4⋊Dic5C2311yescharacteristic
117C3×#683—21no—
118C3×C4×Dic5—21no—
119C2×C3×#168C2311yescharacteristic
120C2×C3×#168C2311yescharacteristic
121#6668—21no—
122#6667—21no—
123(C2×D3)⋊Dic5—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126#6662C2×C414yescomplemented
127#6659C2×C414yescomplemented
128#6648—22no—
129#6648C2×C414yescomplemented
130C2×#916—51no—
131C4×#239—51no—
132C4×#237—51no—
133C3×C4×SD16—51no—
134Dic3×SD16—51no—
135C4×#216—51no—
136C4×#213D511yescharacteristic, complemented
137#4860—51no—
138#4852—51no—
139#4804—51no—
140#4790—51no—
141#4772—51no—
142#4756—51no—
143C4×#204—51no—
144C4×D3×C8—51no—
145C2×#711—31no—
146C2×#711—31no—
147C2×C5×D8—31no—
148C4×C5×D4—31no—
149C4×C5×D4C2×D311yescharacteristic
150D4×Dic5—31no—
151D4×Dic5—31no—
152C2×#687—31no—
153C2×#687C2×D311yescharacteristic
154C4×C22⋊D5—61no—
155C4×C22⋊D5—61no—
156C2×C4×Dic5—61no—
157C2×C4×Dic5—61no—
158#4058—38no—
159C2×Dic20—31no—
160C2×C8×D5—31no—
161C2×C8×D5—31no—
162#4038—31no—
163#4038—31no—
164#4033—31no—
165#4033—31no—
166#4027—61no—
167#4027—61no—
168#4023—61no—
169#4023—61no—
170C42×D5—31no—
171C4×Dic10—31no—
172C4×Dic10C2×D311yescharacteristic
173C5×#107—31no—
174C5×#102—31no—
175C5×#102—31no—
176C4×C5×C8—31no—
177#3964—31no—
178#3964C2×D311yescharacteristic
179#3950—31no—
180#3948—31no—
181#3948—31no—
182C8×Dic5—31no—
183C8×Dic5—31no—
184#3942—31no—
185#3942C2×D311yescharacteristic
186#3940—31no—
187#3940C2×D311yescharacteristic
188C4×#168C2×D311yescharacteristic
189C4×#135—151noSylow
190C23×C3×C5—21no—
191C22×D15C2×D411yescharacteristic
192C22×C5×D3—21no—
193C3×C5×D4—21no—
194C3×C5×D4C22×C412yes—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5—42no—
197C2×C3×C4×C5C2×D411yescharacteristic
198C2×C3×C4×C5C2×D411yescharacteristic
199C2×C3×C4×C5C2411yescharacteristic
200#1220—24no—
201C2×Dic15—21no—
202C2×Dic15—24no—
203C2×Dic15—21no—
204C2×Dic15—42no—
205C2×Dic15C2×D411yescharacteristic
206C2×Dic15C2×D411yescharacteristic
207C2×Dic15C2×D411yescharacteristic
208C4×D15—22no—
209C4×D15—22no—
210C4×D15C22×C412yes—
211C4×D15#4112yes—
212Dic30—21no—
213Dic30C22×C412yes—
214C2×C5×Dic3—21no—
215C5×D12—21no—
216C5×D12C22×C412yes—
217C4×C5×D3—42no—
218C2×C3×Dic5—21no—
219C2×C3×Dic5—21no—
220C3×Dic10—21no—
221C3×Dic10C22×C412yes—
222#1203—24no—
223D3×Dic5—24no—
224D3×Dic5—42no—
225C3×#168—21no—
226C3×#168C22×C412yes—
227C5×C3⋊C8—21no—
228C5×C3⋊C8C22×C412yes—
229C2×#239—51no—
230C2×#237—51no—
231C2×C3×SD16—51no—
232C3×C4×Q8—51no—
233C3×C4×D4C2×D511yescharacteristic
234Q8×Dic3—51no—
235C2×#216—51no—
236D4×Dic3—51no—
237C2×#213C2×D511yescharacteristic
238C4×#67—101no—
239C2×C4×Dic3—101no—
240#916—58no—
241C2×#204—51no—
242C2×D3×C8—51no—
243C2×D3×C8—51no—
244#893—51no—
245#893—101no—
246#892—51no—
247#892—51no—
248#892—101no—
249#887—51no—
250#67⋊C4—101no—
251#877—101no—
252C4×D12—101no—
253C4×D12C2×D511yescharacteristic
254C42×D3—51no—
255C42×D3—101no—
256C4×Dic6—51no—
257C3×#106—51no—
258C3×#103—51no—
259C3×#102—51no—
260C3×C4×C8—51no—
261#835—51no—
262#832C2×D511yescharacteristic
263#821—51no—
264#817—51no—
265#816—51no—
266C8×Dic3—51no—
267C8×Dic3—51no—
268#810—51no—
269#809C2×D511yescharacteristic
270#807—51no—
271#807C2×D511yescharacteristic
272C4×C3⋊C8C2×D511yescharacteristic
273C2×C5×D4—31no—
274C2×C5×D4C22×D311yescharacteristic
275C22×C4×C5—21no—
276C22×C4×C5—61no—
277C2×C22⋊D5—61no—
278C2×C22⋊D5—61no—
279C22×Dic5—61no—
280C22×Dic5—61no—
281C22×Dic5—61no—
282C22×Dic5—61no—
283#711—34no—
284#711—34no—
285#711—62no—
286#711—62no—
287C2×C4×D5—31no—
288C2×C4×D5—31no—
289C2×C4×D5—31no—
290C2×Dic10—31no—
291C2×Dic10C22×D311yescharacteristic
292C5×D8—34no—
293C2×C5×C8—31no—
294C2×C5×C8—31no—
295C5×C4⋊C4—31no—
296C5×C4⋊C4C22×D311yescharacteristic
297C5×C22⋊C4—21no—
298C5×C22⋊C4—61no—
299C42×C5C22×D311yescharacteristic
300C22⋊Dic5—61no—
301C22⋊Dic5—61no—
302#687—34no—
303#687C4×D314yescomplemented
304#685—61no—
305#685—61no—
306C4⋊Dic5—31no—
307C4⋊Dic5C22×D311yescharacteristic
308#683—21no—
309#683—61no—
310#683—61no—
311#683—61no—
312C4×Dic5—21no—
313C4×Dic5—31no—
314C4×Dic5—31no—
315C4×Dic5—31no—
316C4×Dic5—61no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5—61no—
321C2×#168C22×D311yescharacteristic
322C2×#168C22×D311yescharacteristic
323Dic20—34no—
324C8×D5—34no—
325C8×D5—62no—
326C2×#135—151no—
327C4×#41—151no—
328C4×#41—151no—
329C4×Q16—151no—
330C4×Q16—151no—
331C4×SD16—51no—
332C4×SD16—151no—
333C4×SD16—151no—
334C4×SD16—151no—
335C4×D8—31no—
336C4×D8—151no—
337#427—151no—
338#416—151no—
339#416—151no—
340C2×C4×C8—151no—
341C22×C3×C5—22no—
342C22×C3×C5—41no—
343C22×C3×C5—41no—
344C22×C3×C5C22×D411yescharacteristic
345C2×D15—21no—
346C2×D15—21no—
347C2×D15C4×D412yes—
348C2×C5×D3—22no—
349C2×C5×D3—41no—
350C2×C5×D3—41no—
351C3×C4×C5—21no—
352C3×C4×C5—41no—
353C3×C4×C5#13512yescomplemented
354C3×C4×C5C23×C411yescharacteristic
355C3×C4×C5C2×#4111yescharacteristic
356Dic15—22no—
357Dic15—21no—
358Dic15—41no—
359Dic15C4×D412yes—
360Dic15#13512yescomplemented
361C3×Dic5—22no—
362C3×Dic5—41no—
363C5×Dic3—41no—
364C2×C3×Q8—51no—
365C2×C3×D4C22×D511yescharacteristic
366C22×C3×C4—21no—
367C2×#67—101no—
368C22×Dic3—101no—
369C22×Dic3—101no—
370#239—54no—
371#239—102no—
372#237—54no—
373#237—102no—
374C2×D12—101no—
375C2×D12C22×D511yescharacteristic
376C2×C4×D3—21no—
377C2×C4×D3—51no—
378C2×C4×D3—51no—
379C2×C4×D3—51no—
380C2×C4×D3—101no—
381C2×C4×D3—101no—
382C2×Dic6—51no—
383C3×SD16—54no—
384C2×C3×C8—51no—
385C2×C3×C8—51no—
386C3×C4⋊C4—51no—
387C3×C4⋊C4—101no—
388C3×C4⋊C4C22×D511yescharacteristic
389C3×C22⋊C4—21no—
390C3×C42—101no—
391C3×C42C22×D511yescharacteristic
392#217—101no—
393#216—54no—
394#213C4×D514yescomplemented
395(C2×D3)⋊C4—21no—
396(C2×D3)⋊C4—101no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4—101no—
399C4⋊Dic3—51no—
400C4⋊Dic3—101no—
401C4⋊Dic3C22×D511yescharacteristic
402Dic3⋊C4—101no—
403Dic3⋊C4—101no—
404C4×Dic3—51no—
405C4×Dic3—51no—
406C4×Dic3—51no—
407C4×Dic3—101no—
408C4×Dic3—101no—
409C4×Dic3—101no—
410C4×Dic3—101no—
411C4×Dic3—101no—
412C2×C3⋊C8C22×D511yescharacteristic
413C2×C3⋊C8C22×D511yescharacteristic
414#204—54no—
415D3×C8—54no—
416D3×C8—102no—
417C23×C5—21no—
418C23×C5—61no—
419C22×D5—31no—
420C5×D4—21no—
421C5×D4—32no—
422C5×D4—61no—
423C5×D4C2×C4×D312yes—
424C2×C4×C5—21no—
425C2×C4×C5—42no—
426C2×C4×C5—61no—
427C2×C4×C5—122no—
428C2×C4×C5D3×D411yescharacteristic
429C2×C4×C5D3×D411yescharacteristic
430C2×C4×C5C23×D311yescharacteristic
431C22⋊D5—64no—
432C22⋊D5—64no—
433C2×Dic5—21no—
434C2×Dic5—21no—
435C2×Dic5—31no—
436C2×Dic5—31no—
437C2×Dic5—31no—
438C2×Dic5—64no—
439C2×Dic5—64no—
440C2×Dic5—61no—
441C2×Dic5—61no—
442C2×Dic5—122no—
443C2×Dic5—122no—
444C4×D5—32no—
445C4×D5—32no—
446C4×D5—62no—
447C4×D5—62no—
448Dic10—21no—
449Dic10—32no—
450Dic10—61no—
451Dic10C2×C4×D312yes—
452C5×C8—32no—
453C5×C8—61no—
454#168—21no—
455#168C2×C4×D312yes—
456C2×#41—151no—
457C2×#41—151no—
458#135—158no—
459C2×Q16—151no—
460C2×SD16—51no—
461C2×SD16—151no—
462C2×D8—31no—
463C22×C8—151no—
464C22×C8—151no—
465C4×Q8—51no—
466C4×Q8—151no—
467C4×Q8—151no—
468C4×Q8—151no—
469C4×D4—31no—
470C4×D4—151no—
471C4×D4—151no—
472C4×D4—301no—
473C4×D4—301no—
474C4×D4—301no—
475C4×D4—301no—
476C4×D4D3×D511yescharacteristic
477#117—151no—
478#117—151no—
479#117—301no—
480#117—301no—
481C2×C42—151no—
482C2×C42—301no—
483C2×C42—301no—
484#107—31no—
485#107—151no—
486#106—51no—
487#106—151no—
488#103—51no—
489#103—151no—
490#103—151no—
491#103—151no—
492#102—31no—
493#102—31no—
494#102—51no—
495#102—151no—
496C4×C8—31no—
497C4×C8—51no—
498C4×C8—151no—
499C4×C8—151no—
500C2×C3×C5—42no—
501C2×C3×C5C2×C4×D411yescharacteristic
502C2×C3×C5C2×#13511yescharacteristic
503C2×C3×C5C2×#13511yescharacteristic
504D15—22no—
505C5×D3—42no—
506C23×C3—21no—
507C22×D3—21no—
508C22×D3—51no—
509C3×Q8—52no—
510C3×Q8—101no—
511C3×D4—21no—
512C3×D4C2×C4×D512yes—
513C2×C3×C4—21no—
514C2×C3×C4—42no—
515C2×C3×C4—101no—
516C2×C3×C4—101no—
517C2×C3×C4D4×D511yescharacteristic
518C2×C3×C4D4×D511yescharacteristic
519C2×C3×C4C23×D511yescharacteristic
520#67—104no—
521C2×Dic3—21no—
522C2×Dic3—51no—
523C2×Dic3—51no—
524C2×Dic3—51no—
525C2×Dic3—104no—
526C2×Dic3—101no—
527C2×Dic3—101no—
528C2×Dic3—202no—
529D12—21no—
530D12—104no—
531D12C2×C4×D512yes—
532C4×D3—42no—
533C4×D3—52no—
534C4×D3—52no—
535C4×D3—102no—
536C4×D3—104no—
537C4×D3—102no—
538C4×D3—202no—
539Dic6—52no—
540Dic6—101no—
541C3×C8—52no—
542C3×C8—101no—
543C3⋊C8—21no—
544C3⋊C8C2×C4×D512yes—
545C22×C5—22no—
546C22×C5—41no—
547C22×C5—41no—
548C22×C5—62no—
549C22×C5—121no—
550C22×C5—121no—
551C22×C5C2×D3×D411yescharacteristic
552C2×D5—32no—
553C2×D5—61no—
554C2×D5—61no—
555C4×C5—21no—
556C4×C5—41no—
557C4×C5—121no—
558C4×C5#91612yescomplemented
559C4×C5C22×C4×D311yescharacteristic
560C4×C5D3×#4111yescharacteristic
561Dic5—22no—
562Dic5—32no—
563Dic5—32no—
564Dic5—41no—
565Dic5—61no—
566Dic5—62no—
567Dic5—121no—
568#41—154no—
569#41—154no—
570#41—302no—
571#41—302no—
572C2×Q8—51no—
573C2×Q8—151no—
574C2×D4—31no—
575C2×D4—301no—
576C2×D4—301no—
577C2×D4C2×D3×D511yescharacteristic
578C22×C4—21no—
579C22×C4—61no—
580C22×C4—151no—
581C22×C4—151no—
582C22×C4—151no—
583C22×C4—301no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587Q16—154no—
588SD16—54no—
589SD16—154no—
590D8—34no—
591C2×C8—31no—
592C2×C8—31no—
593C2×C8—51no—
594C2×C8—51no—
595C2×C8—154no—
596C2×C8—302no—
597C4⋊C4—31no—
598C4⋊C4—51no—
599C4⋊C4—101no—
600C4⋊C4—151no—
601C4⋊C4—301no—
602C4⋊C4—301no—
603C4⋊C4—301no—
604C4⋊C4C2×D3×D511yescharacteristic
605C22⋊C4—21no—
606C22⋊C4—61no—
607C22⋊C4—301no—
608C22⋊C4—301no—
609C22⋊C4—301no—
610C22⋊C4—301no—
611C42—101no—
612C42—151no—
613C42—151no—
614C42—151no—
615C42—301no—
616C42—301no—
617C42—301no—
618C42—301no—
619C42—301no—
620C42C2×D3×D511yescharacteristic
621C3×C5C4×#13511yescharacteristic, complemented, Hall
622C22×C3—22no—
623C22×C3—41no—
624C22×C3—41no—
625C22×C3C2×D4×D511yescharacteristic
626C2×D3—22no—
627C2×D3—41no—
628C2×D3—41no—
629C2×D3—52no—
630C2×D3—101no—
631C2×D3—101no—
632C3×C4—21no—
633C3×C4—41no—
634C3×C4—102no—
635C3×C4—201no—
636C3×C4#405812yescomplemented
637C3×C4C22×C4×D511yescharacteristic
638C3×C4D5×#4111yescharacteristic
639Dic3—41no—
640Dic3—52no—
641Dic3—52no—
642Dic3—101no—
643Dic3—102no—
644Dic3—201no—
645C2×C5—42no—
646C2×C5—122no—
647C2×C5C4×D3×D411yescharacteristic
648C2×C5C2×#91611yescharacteristic
649C2×C5D3×#13511yescharacteristic
650D5—62no—
651C23—21no—
652C23—61no—
653C23—151no—
654Q8—52no—
655Q8—101no—
656Q8—152no—
657Q8—301no—
658D4—21no—
659D4—32no—
660D4—61no—
661D4—304no—
662D4—304no—
663D4C4×D3×D512yes—
664C2×C4—21no—
665C2×C4—42no—
666C2×C4—61no—
667C2×C4—101no—
668C2×C4—101no—
669C2×C4—122no—
670C2×C4—151no—
671C2×C4—151no—
672C2×C4—152no—
673C2×C4—152no—
674C2×C4—151no—
675C2×C4—302no—
676C2×C4—304no—
677C2×C4—304no—
678C2×C4—301no—
679C2×C4—302no—
680C2×C4—301no—
681C2×C4—602no—
682C2×C4—602no—
683C2×C4#679011yescharacteristic
684C2×C4#679011yescharacteristic
685C2×C4C22×D3×D511yescharacteristic
686C8—32no—
687C8—52no—
688C8—61no—
689C8—101no—
690C2×C3—42no—
691C2×C3C4×D4×D511yescharacteristic
692C2×C3C2×#405811yescharacteristic
693C2×C3D5×#13511yescharacteristic
694D3—42no—
695D3—102no—
696C5C4×#91611yescharacteristic, complemented, Sylow
697C22—22no—
698C22—41no—
699C22—41no—
700C22—62no—
701C22—121no—
702C22—121no—
703C22—152no—
704C22—301no—
705C22—301no—
706C22C2×#679011yescharacteristic
707C4—21no—
708C4—41no—
709C4—102no—
710C4—121no—
711C4—152no—
712C4—152no—
713C4—201no—
714C4—302no—
715C4—301no—
716C4—601no—
717C4#9149912yesdirect product factor
718C4C2×C4×D3×D511yescharacteristic
719C4#9201611yescharacteristic
720C3C4×#405811yescharacteristic, complemented, Sylow
721C2—42no—
722C2—122no—
723C2—302no—
724C2C4×#679011yescharacteristic
725C2C2×#9149911yescharacteristic
726C2#1175532811yescharacteristic
subgroupG/H
centerC2×C4#6790
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×D4C22
socleC22×C3×C5C22×D4
prime radicalC2×#91499C2
cosocleC2×C3×C4×C5C24
hypercenterC4×D4D3×D5
hypocenterC3×C5C4×#135
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C2×C4 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. C4×#6819C2semidirect
3. C4×#6768C2semidirect
4. C4×C5×#213C2semidirect
5. C3×C4×#687C2semidirect
6. #11749017C2semidirect
7. #11748994C2semidirect
8. #11748969C2semidirect
9. #11747508C2semidirect
10. #11747440C2semidirect
11. #11747271C2semidirect
12. #11747234C2semidirect
13. C4×#6662C2semidirect
14. C4×#6659C2semidirect
15. C4×#6648C2semidirect
33. #91499C4direct (N × H)
68. C4×#687D3semidirect
83. #6819C2×C4semidirect
95. #6768C2×C4semidirect
110. C5×#213C2×C4semidirect
115. C3×#687C2×C4semidirect
126. #6662C2×C4semidirect
127. #6659C2×C4semidirect
129. #6648C2×C4semidirect
136. C4×#213D5semidirect
303. #687C4×D3semidirect
353. C3×C4×C5#135semidirect
360. Dic15#135semidirect
394. #213C4×D5semidirect
558. C4×C5#916semidirect
621. C3×C5C4×#135semidirect
636. C3×C4#4058semidirect
696. C5C4×#916semidirect
717. C4#91499direct (N × H)
720. C3C4×#4058semidirect

Maximal subgroups

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

subgroupindex
C4×#68192
C2×#914992
C4×#67682
C4×C5×#2132
C3×C4×#6872
#117490172
#117489942
#117489692
#117475082
#117474402
#117472712
#117472342
C4×#66622
C4×#66592
C4×#66482
C4×#40583
C4×#9165