Finite Group Databasebeta

← C4×#91805 #14416208

Subgroups — C4×#91805 #14416208

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
1C2×#91805C211yesmaximal, characteristic
2C4×#6821C211yesmaximal, characteristic, complemented
3C4×#6819C211yesmaximal, characteristic, complemented
4C3×C4×C5×SD16C211yesmaximal, characteristic, complemented
5SD16×Dic15C211yesmaximal, characteristic, complemented
6C4×#6718C211yesmaximal, characteristic, complemented
7C4×#6715C211yesmaximal, characteristic, complemented
8#11750961C211yesmaximal, characteristic, complemented
9#11750953C211yesmaximal, characteristic, complemented
10#11750905C211yesmaximal, characteristic, complemented
11#11750891C211yesmaximal, characteristic, complemented
12#11750873C211yesmaximal, characteristic, complemented
13#11750857C211yesmaximal, characteristic, complemented
14C4×#6706C211yesmaximal, characteristic, complemented
15C4×C8×D15C211yesmaximal, characteristic, complemented
16C4×#4062—31nomaximal, Hall
17C2×#6821C2211yescharacteristic
18C2×#6819C2211yescharacteristic
19C2×C3×C5×SD16C2211yescharacteristic
20C3×C4×C5×Q8C2211yescharacteristic
21C3×C4×C5×D4C2211yescharacteristic
22Q8×Dic15C2211yescharacteristic
23C2×#6718C2211yescharacteristic
24D4×Dic15C2211yescharacteristic
25C2×#6715C2211yescharacteristic
26C4×#1220—21no—
27C2×C4×Dic15—21no—
28#91805C418yesdirect product factor
29C2×#6706C2211yescharacteristic
30C2×C8×D15C2211yescharacteristic
31C2×C8×D15C2211yescharacteristic
32#91782—21no—
33#91782C2211yescharacteristic
34#91781—21no—
35#91781C2211yescharacteristic
36#91781C2211yescharacteristic
37#91776C2211yescharacteristic
38#91770—21no—
39#91766—21no—
40C4×D60—21no—
41C4×D60C2211yescharacteristic
42C42×D15—21no—
43C42×D15C2211yescharacteristic
44C4×Dic30C2211yescharacteristic
45C3×C5×#106C2211yescharacteristic
46C3×C5×#103C2211yescharacteristic
47C3×C5×#102C2211yescharacteristic
48C3×C4×C5×C8C2211yescharacteristic
49#91119C2211yescharacteristic
50#91116C2211yescharacteristic
51#91105C2211yescharacteristic
52#91101C2211yescharacteristic
53#91100C2211yescharacteristic
54C8×Dic15C2211yescharacteristic
55C8×Dic15C2211yescharacteristic
56#91094C2211yescharacteristic
57#91093C2211yescharacteristic
58#91091C2211yescharacteristic
59#91091C2211yescharacteristic
60C4×C3⋊#168C2211yescharacteristic
61C4×#916—51nomaximal, Hall
62C2×#4062—31no—
63C4×#713—31no—
64C4×#711—31no—
65C4×C5×SD16D311yescharacteristic, complemented
66SD16×Dic5—31no—
67C4×#689—31no—
68C4×#686—31no—
69#65149—31no—
70#65141—31no—
71#65093—31no—
72#65079—31no—
73#65061—31no—
74#65045—31no—
75C4×#677—31no—
76C4×C8×D5—31no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×C3×C5×D4C2311yescharacteristic
79C22×C3×C4×C5—21no—
80C2×#1220—21no—
81C22×Dic15—21no—
82C22×Dic15—21no—
83#6821—22no—
84#6821C2×C414yescomplemented
85#6819—22no—
86#6819C2×C414yescomplemented
87C2×D60—21no—
88C2×D60C2311yescharacteristic
89C2×C4×D15—21no—
90C2×C4×D15—21no—
91C2×C4×D15—21no—
92C2×C4×D15D411yescharacteristic
93C2×C4×D15D411yescharacteristic
94C2×C4×D15C2311yescharacteristic
95C2×Dic30C2311yescharacteristic
96C3×C5×SD16C2×C414yescomplemented
97C2×C3×C5×C8C2311yescharacteristic
98C2×C3×C5×C8C2311yescharacteristic
99C3×C5×C4⋊C4—21no—
100C3×C5×C4⋊C4C2311yescharacteristic
101C3×C5×C4⋊C4C2311yescharacteristic
102C3×C5×C22⋊C4—21no—
103C3×C42×C5—21no—
104C3×C42×C5C2311yescharacteristic
105#6719—21no—
106#6718C2×C414yescomplemented
107#6715C2×C414yescomplemented
108#6714—21no—
109#6714—21no—
110#6714—21no—
111#6714—21no—
112C4⋊Dic15—21no—
113C4⋊Dic15C2311yescharacteristic
114C4⋊Dic15C2311yescharacteristic
115#6712—21no—
116#6712—21no—
117C4×Dic15—21no—
118C4×Dic15—21no—
119C4×Dic15—21no—
120C4×Dic15—21no—
121C4×Dic15—21no—
122C4×Dic15D411yescharacteristic
123C4×Dic15D411yescharacteristic
124C4×Dic15C2311yescharacteristic
125C2×C3⋊#168C2311yescharacteristic
126C2×C3⋊#168C2311yescharacteristic
127#6706C2×C414yescomplemented
128C8×D15—22no—
129C8×D15C2×C414yescomplemented
130C2×#916—51no—
131C4×#239—51no—
132C4×#237—51no—
133C3×C4×SD16D511yescharacteristic, complemented
134Dic3×SD16—51no—
135C4×#216—51no—
136C4×#213—51no—
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×#713—31no—
146C2×#711—31no—
147C2×C5×SD16C2×D311yescharacteristic
148C4×C5×Q8C2×D311yescharacteristic
149C4×C5×D4C2×D311yescharacteristic
150Q8×Dic5—31no—
151C2×#689—31no—
152D4×Dic5—31no—
153C2×#686—31no—
154C4×C22⋊D5—61no—
155C2×C4×Dic5—61no—
156#4062—38no—
157C2×#677—31no—
158C2×C8×D5—31no—
159C2×C8×D5—31no—
160#4039—31no—
161#4039—61no—
162#4038—31no—
163#4038—31no—
164#4038—61no—
165#4033—31no—
166#4027—61no—
167#4023—61no—
168C4×D20—31no—
169C4×D20—61no—
170C42×D5—31no—
171C42×D5—61no—
172C4×Dic10—31no—
173C5×#106C2×D311yescharacteristic
174C5×#103C2×D311yescharacteristic
175C5×#102C2×D311yescharacteristic
176C4×C5×C8C2×D311yescharacteristic
177#3967—31no—
178#3964—31no—
179#3953—31no—
180#3949—31no—
181#3948—31no—
182C8×Dic5—31no—
183C8×Dic5—31no—
184#3942—31no—
185#3941—31no—
186#3939—31no—
187#3939—31no—
188C4×#168—31no—
189C4×#135—151noSylow
190C23×C3×C5—21no—
191C22×D15—21no—
192C22×D15C2×D411yescharacteristic
193C3×C5×Q8—21no—
194C3×C5×Q8C22×C412yes—
195C3×C5×D4—21no—
196C3×C5×D4C22×C412yes—
197C2×C3×C4×C5—21no—
198C2×C3×C4×C5—21no—
199C2×C3×C4×C5—21no—
200C2×C3×C4×C5—42no—
201C2×C3×C4×C5C2×D411yescharacteristic
202C2×C3×C4×C5C2×D411yescharacteristic
203C2×C3×C4×C5C2411yescharacteristic
204#1220—24no—
205C2×Dic15—21no—
206C2×Dic15—24no—
207C2×Dic15—21no—
208C2×Dic15—21no—
209C2×Dic15—42no—
210C2×Dic15C2×D411yescharacteristic
211C2×Dic15C2×D411yescharacteristic
212C2×Dic15C2×D411yescharacteristic
213D60—24no—
214D60—21no—
215D60C22×C412yes—
216C4×D15—22no—
217C4×D15—24no—
218C4×D15—22no—
219C4×D15—42no—
220C4×D15—42no—
221C4×D15C22×C412yes—
222C4×D15#4112yes—
223Dic30—21no—
224Dic30C22×C412yes—
225C3×C5×C8—21no—
226C3×C5×C8C22×C412yes—
227C3⋊#168—21no—
228C3⋊#168C22×C412yes—
229C2×#239—51no—
230C2×#237—51no—
231C2×C3×SD16C2×D511yescharacteristic
232C3×C4×Q8C2×D511yescharacteristic
233C3×C4×D4C2×D511yescharacteristic
234Q8×Dic3—51no—
235C2×#216—51no—
236D4×Dic3—51no—
237C2×#213—51no—
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—51no—
253C4×D12—101no—
254C42×D3—51no—
255C42×D3—101no—
256C4×Dic6—51no—
257C3×#106C2×D511yescharacteristic
258C3×#103C2×D511yescharacteristic
259C3×#102C2×D511yescharacteristic
260C3×C4×C8C2×D511yescharacteristic
261#835—51no—
262#832—51no—
263#821—51no—
264#817—51no—
265#816—51no—
266C8×Dic3—51no—
267C8×Dic3—51no—
268#810—51no—
269#809—51no—
270#807—51no—
271#807—51no—
272C4×C3⋊C8—51no—
273C2×C5×Q8C22×D311yescharacteristic
274C2×C5×D4C22×D311yescharacteristic
275C22×C4×C5—21no—
276C2×C22⋊D5—61no—
277C22×Dic5—61no—
278C22×Dic5—61no—
279#713—34no—
280#713—62no—
281#711—34no—
282#711—62no—
283C2×D20—31no—
284C2×D20—61no—
285C2×C4×D5—31no—
286C2×C4×D5—31no—
287C2×C4×D5—31no—
288C2×C4×D5—61no—
289C2×C4×D5—61no—
290C2×C4×D5—61no—
291C2×Dic10—31no—
292C5×SD16C4×D314yescomplemented
293C2×C5×C8C22×D311yescharacteristic
294C2×C5×C8C22×D311yescharacteristic
295C5×C4⋊C4—21no—
296C5×C4⋊C4C22×D311yescharacteristic
297C5×C4⋊C4C22×D311yescharacteristic
298C5×C22⋊C4—21no—
299C42×C5—21no—
300C42×C5C22×D311yescharacteristic
301C22⋊Dic5—61no—
302#689—34no—
303#686—34no—
304#685—61no—
305#685—61no—
306#685—61no—
307#685—61no—
308C4⋊Dic5—31no—
309C4⋊Dic5—31no—
310C4⋊Dic5—61no—
311#683—61no—
312#683—61no—
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×#168—31no—
322C2×#168—31no—
323#677—34no—
324C8×D5—34no—
325C8×D5—62no—
326C2×#135—151no—
327C4×#41—151no—
328C4×#41—151no—
329C4×Q16—151no—
330C4×Q16—151no—
331C4×SD16—151no—
332C4×SD16—151no—
333C4×SD16—151no—
334C4×SD16D1511yescharacteristic, complemented
335C4×D8—151no—
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×D15—22no—
348C2×D15—41no—
349C2×D15—41no—
350C2×D15C4×D412yes—
351C3×C4×C5—22no—
352C3×C4×C5—21no—
353C3×C4×C5—41no—
354C3×C4×C5—41no—
355C3×C4×C5#13512yescomplemented
356C3×C4×C5C23×C411yescharacteristic
357C3×C4×C5C2×#4111yescharacteristic
358Dic15—22no—
359Dic15—21no—
360Dic15—41no—
361Dic15—41no—
362Dic15C4×D412yes—
363Dic15#13512yescomplemented
364C2×C3×Q8C22×D511yescharacteristic
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—51no—
375C2×D12—101no—
376C2×C4×D3—51no—
377C2×C4×D3—51no—
378C2×C4×D3—51no—
379C2×C4×D3—101no—
380C2×C4×D3—101no—
381C2×C4×D3—101no—
382C2×Dic6—51no—
383C3×SD16C4×D514yescomplemented
384C2×C3×C8C22×D511yescharacteristic
385C2×C3×C8C22×D511yescharacteristic
386C3×C4⋊C4—21no—
387C3×C4⋊C4C22×D511yescharacteristic
388C3×C4⋊C4C22×D511yescharacteristic
389C3×C22⋊C4—21no—
390C3×C42—21no—
391C3×C42C22×D511yescharacteristic
392#217—101no—
393#216—54no—
394#213—54no—
395(C2×D3)⋊C4—101no—
396(C2×D3)⋊C4—101no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4—101no—
399C4⋊Dic3—51no—
400C4⋊Dic3—51no—
401C4⋊Dic3—101no—
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⋊C8—51no—
413C2×C3⋊C8—51no—
414#204—54no—
415D3×C8—54no—
416D3×C8—102no—
417C23×C5—21no—
418C22×D5—31no—
419C22×D5—61no—
420C5×Q8—21no—
421C5×Q8C2×C4×D312yes—
422C5×D4—21no—
423C5×D4C2×C4×D312yes—
424C2×C4×C5—21no—
425C2×C4×C5—21no—
426C2×C4×C5—21no—
427C2×C4×C5—42no—
428C2×C4×C5D3×D411yescharacteristic
429C2×C4×C5D3×D411yescharacteristic
430C2×C4×C5C23×D311yescharacteristic
431C22⋊D5—64no—
432C2×Dic5—31no—
433C2×Dic5—31no—
434C2×Dic5—31no—
435C2×Dic5—64no—
436C2×Dic5—61no—
437C2×Dic5—61no—
438C2×Dic5—61no—
439C2×Dic5—122no—
440D20—32no—
441D20—64no—
442D20—61no—
443C4×D5—32no—
444C4×D5—32no—
445C4×D5—62no—
446C4×D5—64no—
447C4×D5—62no—
448C4×D5—122no—
449C4×D5—122no—
450Dic10—32no—
451Dic10—61no—
452C5×C8—21no—
453C5×C8C2×C4×D312yes—
454#168—32no—
455#168—61no—
456C2×#41—151no—
457C2×#41—151no—
458#135—158no—
459C2×Q16—151no—
460C2×SD16—151no—
461C2×SD16C2×D1511yescharacteristic
462C2×D8—151no—
463C22×C8—151no—
464C22×C8—151no—
465C4×Q8—151no—
466C4×Q8—151no—
467C4×Q8—151no—
468C4×Q8C2×D1511yescharacteristic
469C4×D4—151no—
470C4×D4—151no—
471C4×D4—151no—
472C4×D4—301no—
473C4×D4—301no—
474C4×D4—301no—
475C4×D4—301no—
476C4×D4C2×D1511yescharacteristic
477#117—151no—
478#117—151no—
479#117—301no—
480#117—301no—
481C2×C42—151no—
482C2×C42—301no—
483C2×C42—301no—
484#107—151no—
485#107—151no—
486#106—151no—
487#106C2×D1511yescharacteristic
488#103—151no—
489#103—151no—
490#103—151no—
491#103C2×D1511yescharacteristic
492#102—151no—
493#102—151no—
494#102—151no—
495#102C2×D1511yescharacteristic
496C4×C8—151no—
497C4×C8—151no—
498C4×C8—151no—
499C4×C8C2×D1511yescharacteristic
500C2×C3×C5—42no—
501C2×C3×C5C2×C4×D411yescharacteristic
502C2×C3×C5C2×#13511yescharacteristic
503C2×C3×C5C2×#13511yescharacteristic
504D15—22no—
505D15—42no—
506C23×C3—21no—
507C22×D3—51no—
508C22×D3—101no—
509C3×Q8—21no—
510C3×Q8C2×C4×D512yes—
511C3×D4—21no—
512C3×D4C2×C4×D512yes—
513C2×C3×C4—21no—
514C2×C3×C4—21no—
515C2×C3×C4—21no—
516C2×C3×C4—42no—
517C2×C3×C4D4×D511yescharacteristic
518C2×C3×C4D4×D511yescharacteristic
519C2×C3×C4C23×D511yescharacteristic
520#67—104no—
521C2×Dic3—51no—
522C2×Dic3—51no—
523C2×Dic3—51no—
524C2×Dic3—104no—
525C2×Dic3—101no—
526C2×Dic3—101no—
527C2×Dic3—101no—
528C2×Dic3—202no—
529D12—52no—
530D12—104no—
531D12—101no—
532C4×D3—52no—
533C4×D3—52no—
534C4×D3—102no—
535C4×D3—104no—
536C4×D3—102no—
537C4×D3—202no—
538C4×D3—202no—
539Dic6—52no—
540Dic6—101no—
541C3×C8—21no—
542C3×C8C2×C4×D512yes—
543C3⋊C8—52no—
544C3⋊C8—101no—
545C22×C5—22no—
546C22×C5—41no—
547C22×C5—41no—
548C22×C5C2×D3×D411yescharacteristic
549C2×D5—32no—
550C2×D5—61no—
551C2×D5—61no—
552C2×D5—62no—
553C2×D5—121no—
554C2×D5—121no—
555C4×C5—21no—
556C4×C5—22no—
557C4×C5—41no—
558C4×C5—41no—
559C4×C5#91612yescomplemented
560C4×C5C22×C4×D311yescharacteristic
561C4×C5D3×#4111yescharacteristic
562Dic5—32no—
563Dic5—32no—
564Dic5—61no—
565Dic5—62no—
566Dic5—121no—
567Dic5—121no—
568#41—154no—
569#41—154no—
570#41—302no—
571#41—302no—
572C2×Q8—151no—
573C2×Q8C22×D1511yescharacteristic
574C2×D4—151no—
575C2×D4—301no—
576C2×D4—301no—
577C2×D4C22×D1511yescharacteristic
578C22×C4—21no—
579C22×C4—151no—
580C22×C4—151no—
581C22×C4—151no—
582C22×C4—301no—
583C22×C4—301no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587Q16—154no—
588SD16—154no—
589SD16C4×D1514yescomplemented
590D8—154no—
591C2×C8—151no—
592C2×C8—154no—
593C2×C8—151no—
594C2×C8—302no—
595C2×C8C22×D1511yescharacteristic
596C2×C8C22×D1511yescharacteristic
597C4⋊C4—21no—
598C4⋊C4—151no—
599C4⋊C4—151no—
600C4⋊C4—301no—
601C4⋊C4—301no—
602C4⋊C4—301no—
603C4⋊C4C22×D1511yescharacteristic
604C4⋊C4C22×D1511yescharacteristic
605C22⋊C4—21no—
606C22⋊C4—301no—
607C22⋊C4—301no—
608C22⋊C4—301no—
609C22⋊C4—301no—
610C22⋊C4—301no—
611C42—21no—
612C42—151no—
613C42—151no—
614C42—151no—
615C42—301no—
616C42—301no—
617C42—301no—
618C42—301no—
619C42—301no—
620C42C22×D1511yescharacteristic
621C3×C5C4×#13511yescharacteristic, complemented, Hall
622C22×C3—22no—
623C22×C3—41no—
624C22×C3—41no—
625C22×C3C2×D4×D511yescharacteristic
626C2×D3—52no—
627C2×D3—101no—
628C2×D3—101no—
629C2×D3—102no—
630C2×D3—201no—
631C2×D3—201no—
632C3×C4—21no—
633C3×C4—22no—
634C3×C4—41no—
635C3×C4—41no—
636C3×C4#406212yescomplemented
637C3×C4C22×C4×D511yescharacteristic
638C3×C4D5×#4111yescharacteristic
639Dic3—52no—
640Dic3—52no—
641Dic3—101no—
642Dic3—102no—
643Dic3—201no—
644Dic3—201no—
645C2×C5—42no—
646C2×C5C4×D3×D411yescharacteristic
647C2×C5C2×#91611yescharacteristic
648C2×C5D3×#13511yescharacteristic
649D5—62no—
650D5—122no—
651C23—21no—
652C23—151no—
653C23—301no—
654Q8—21no—
655Q8—152no—
656Q8—301no—
657Q8C2×C4×D1512yes—
658D4—21no—
659D4—152no—
660D4—304no—
661D4—304no—
662D4—301no—
663D4C2×C4×D1512yes—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—42no—
668C2×C4—151no—
669C2×C4—151no—
670C2×C4—152no—
671C2×C4—152no—
672C2×C4—151no—
673C2×C4—302no—
674C2×C4—304no—
675C2×C4—304no—
676C2×C4—301no—
677C2×C4—302no—
678C2×C4—301no—
679C2×C4—301no—
680C2×C4—602no—
681C2×C4—602no—
682C2×C4—602no—
683C2×C4D4×D1511yescharacteristic
684C2×C4D4×D1511yescharacteristic
685C2×C4C23×D1511yescharacteristic
686C8—21no—
687C8—152no—
688C8—301no—
689C8C2×C4×D1512yes—
690C2×C3—42no—
691C2×C3C4×D4×D511yescharacteristic
692C2×C3C2×#406211yescharacteristic
693C2×C3D5×#13511yescharacteristic
694D3—102no—
695D3—202no—
696C5C4×#91611yescharacteristic, complemented, Sylow
697C22—22no—
698C22—41no—
699C22—41no—
700C22—152no—
701C22—301no—
702C22—301no—
703C22—302no—
704C22—601no—
705C22—601no—
706C22C2×D4×D1511yescharacteristic
707C4—22no—
708C4—21no—
709C4—41no—
710C4—41no—
711C4—152no—
712C4—152no—
713C4—302no—
714C4—301no—
715C4—601no—
716C4—601no—
717C4#9180512yesdirect product factor
718C4C22×C4×D1511yescharacteristic
719C4#41×D1511yescharacteristic
720C3C4×#406211yescharacteristic, complemented, Sylow
721C2—42no—
722C2—302no—
723C2—602no—
724C2C4×D4×D1511yescharacteristic
725C2C2×#9180511yescharacteristic
726C2D15×#13511yescharacteristic
subgroupG/H
centerC2×C4D4×D15
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C23×D15
FittingC3×C4×C5×SD16C2
socleC22×C3×C5C22×D4
prime radicalC2×#91805C2
cosocleC2×C3×C4×C5C24
hypercenterC4×SD16D15
hypocenterC3×C5C4×#135
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C2×C4 ◁ C42 ◁ C4×SD16

Complements

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

NH ≅ G/Ntype
2. C4×#6821C2semidirect
3. C4×#6819C2semidirect
4. C3×C4×C5×SD16C2semidirect
5. SD16×Dic15C2semidirect
6. C4×#6718C2semidirect
7. C4×#6715C2semidirect
8. #11750961C2semidirect
9. #11750953C2semidirect
10. #11750905C2semidirect
11. #11750891C2semidirect
12. #11750873C2semidirect
13. #11750857C2semidirect
14. C4×#6706C2semidirect
15. C4×C8×D15C2semidirect
28. #91805C4direct (N × H)
65. C4×C5×SD16D3semidirect
84. #6821C2×C4semidirect
86. #6819C2×C4semidirect
96. C3×C5×SD16C2×C4semidirect
106. #6718C2×C4semidirect
107. #6715C2×C4semidirect
127. #6706C2×C4semidirect
129. C8×D15C2×C4semidirect
133. C3×C4×SD16D5semidirect
292. C5×SD16C4×D3semidirect
334. C4×SD16D15semidirect
355. C3×C4×C5#135semidirect
363. Dic15#135semidirect
383. C3×SD16C4×D5semidirect
559. C4×C5#916semidirect
589. SD16C4×D15semidirect
621. C3×C5C4×#135semidirect
636. C3×C4#4062semidirect
696. C5C4×#916semidirect
717. C4#91805direct (N × H)
720. C3C4×#4062semidirect

Maximal subgroups

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

subgroupindex
C2×#918052
C4×#68212
C4×#68192
C3×C4×C5×SD162
SD16×Dic152
C4×#67182
C4×#67152
#117509612
#117509532
#117509052
#117508912
#117508732
#117508572
C4×#67062
C4×C8×D152
C4×#40623
C4×#9165