Finite Group Databasebeta

← C4×#91272 #14416258

Subgroups — C4×#91272 #14416258

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×#91272C211yesmaximal, characteristic
2C4×#6769C211yesmaximal, characteristic, complemented
3C4×#6765C211yesmaximal, characteristic, complemented
4C4×#6706C211yesmaximal, characteristic, complemented
5C4×C5×D3×C8C211yesmaximal, characteristic, complemented
6C3×C4×#677C211yesmaximal, characteristic, complemented
7#11748137C211yesmaximal, characteristic, complemented
8#11747831C211yesmaximal, characteristic, complemented
9#11747789C211yesmaximal, characteristic, complemented
10Dic3×#677C211yesmaximal, characteristic, complemented
11#11747740C211yesmaximal, characteristic, complemented
12#11747679C211yesmaximal, characteristic, complemented
13#11747643C211yesmaximal, characteristic, complemented
14C4×#6662C211yesmaximal, characteristic, complemented
15C4×#6653C211yesmaximal, characteristic, complemented
16C4×#4050—31nomaximal, Hall
17C2×#6769C2211yescharacteristic
18C2×#6765C2211yescharacteristic
19C2×#6706C2211yescharacteristic
20C4×D60C2211yescharacteristic
21C4×Dic30C2211yescharacteristic
22C2×C5×D3×C8C2211yescharacteristic
23C2×C5×D3×C8C2211yescharacteristic
24C42×C5×D3C2211yescharacteristic
25C2×C3×#677C2211yescharacteristic
26C3×C4×D20C2211yescharacteristic
27C3×C4×Dic10C2211yescharacteristic
28#91446—21no—
29C4×#1203—21no—
30#91441—21no—
31C4×#1201—21no—
32#91428C2211yescharacteristic
33Dic3×D20C2211yescharacteristic
34#91403—21no—
35C4×#1200—21no—
36#91393—21no—
37C4×D5×Dic3—21no—
38#91340C2211yescharacteristic
39#91338C2211yescharacteristic
40#91338C2211yescharacteristic
41Dic3×Dic10C2211yescharacteristic
42C2×#6662C2211yescharacteristic
43C2×#6653C2211yescharacteristic
44#91272C418yesdirect product factor
45C3×C4×C5×C8C2211yescharacteristic
46#91105C2211yescharacteristic
47#91101C2211yescharacteristic
48#91100C2211yescharacteristic
49C5×C8×Dic3C2211yescharacteristic
50C5×C8×Dic3C2211yescharacteristic
51C4×C5×C3⋊C8C2211yescharacteristic
52C3×#3953C2211yescharacteristic
53C3×#3949C2211yescharacteristic
54C3×#3948C2211yescharacteristic
55#90990C2211yescharacteristic
56#90990C2211yescharacteristic
57#90974C2211yescharacteristic
58#90971C2211yescharacteristic
59#90968C2211yescharacteristic
60#90965C2211yescharacteristic
61C4×#916—51nomaximal, Hall
62C2×#4050—31no—
63C4×#709—31no—
64C4×#709—31no—
65C2×C4×C5×C8—31no—
66#65402—31no—
67#65402—31no—
68#65395—31no—
69C4×Dic20—31no—
70C4×Dic20—31no—
71C4×D40—31no—
72C4×D40—31no—
73C4×#677—31no—
74C4×#677—31no—
75C4×#677—31no—
76C4×#677D311yescharacteristic, complemented
77C2×D60C2311yescharacteristic
78C2×C4×D15—21no—
79C2×Dic30C2311yescharacteristic
80C2×C4×C5×D3D411yescharacteristic
81C2×C4×C5×D3D411yescharacteristic
82C2×C4×C5×D3C2311yescharacteristic
83C2×C3×D20C2311yescharacteristic
84C2×C3×C4×D5—21no—
85C2×C3×Dic10C2311yescharacteristic
86C2×#1203—21no—
87C2×#1201—21no—
88C2×#1200—21no—
89C2×#1200—21no—
90C2×D5×Dic3—21no—
91C2×D5×Dic3—21no—
92#6769—22no—
93#6769C2×C414yescomplemented
94#6765—22no—
95#6765C2×C414yescomplemented
96C2×C3×C5×C8C2311yescharacteristic
97C2×C3×C5×C8C2311yescharacteristic
98C3×C42×C5C2311yescharacteristic
99#6714—21no—
100C4⋊Dic15C2311yescharacteristic
101C4⋊Dic15C2311yescharacteristic
102#6712—21no—
103C4×Dic15—21no—
104#6706C2×C414yescomplemented
105C4×C5×Dic3D411yescharacteristic
106C4×C5×Dic3D411yescharacteristic
107C4×C5×Dic3C2311yescharacteristic
108C2×C5×C3⋊C8C2311yescharacteristic
109C2×C5×C3⋊C8C2311yescharacteristic
110C5×D3×C8—22no—
111C5×D3×C8C2×C414yescomplemented
112C3×#685—21no—
113C3×C4⋊Dic5C2311yescharacteristic
114C3×C4⋊Dic5C2311yescharacteristic
115C3×#683—21no—
116C3×C4×Dic5—21no—
117C3×#677C2×C414yescomplemented
118#6669—21no—
119#6668—21no—
120#6667—21no—
121(C2×D3)⋊Dic5—21no—
122(C2×D3)⋊Dic5—21no—
123#6665—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126Dic3×Dic5—21no—
127Dic3×Dic5—21no—
128#6662C2×C414yescomplemented
129#6653C2×C414yescomplemented
130C2×#916—51no—
131C4×#239—51no—
132C4×#237—51no—
133C3×C4×SD16—51no—
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×C8D511yescharacteristic, complemented
145C2×#709—31no—
146C2×#709—31no—
147C22×C5×C8—31no—
148C22×C5×C8—31no—
149C2×C42×C5—31no—
150C4×C22⋊D5—61no—
151C4×C22⋊D5—61no—
152C4×C22⋊D5—61no—
153C4×C22⋊D5—61no—
154#4072—31no—
155#4072—31no—
156C2×Dic20—31no—
157#4050—38no—
158C2×D40—31no—
159C2×#677—31no—
160C2×#677C2×D311yescharacteristic
161C4×D20—31no—
162C4×D20—31no—
163C4×D20—31no—
164C4×D20C2×D311yescharacteristic
165#4018—61no—
166#4018—61no—
167C42×D5—61no—
168C42×D5—61no—
169C4×Dic10—31no—
170C4×Dic10—31no—
171C4×Dic10—31no—
172C4×Dic10C2×D311yescharacteristic
173C4×C5×C8—31no—
174C4×C5×C8—31no—
175C4×C5×C8—31no—
176C4×C5×C8C2×D311yescharacteristic
177#3953—31no—
178#3953—31no—
179#3953—31no—
180#3953C2×D311yescharacteristic
181#3950—31no—
182#3950—31no—
183#3949—31no—
184#3949C2×D311yescharacteristic
185#3948—31no—
186#3948—31no—
187#3948—31no—
188#3948C2×D311yescharacteristic
189C4×#135—151noSylow
190C22×D15—21no—
191C22×C5×D3C2×D411yescharacteristic
192C22×C3×D5—21no—
193C2×C3×C4×C5C2×D411yescharacteristic
194C2×C3×C4×C5C2×D411yescharacteristic
195C2×C3×C4×C5C2411yescharacteristic
196C2×Dic15—21no—
197C2×Dic15—21no—
198C2×Dic15—21no—
199D60—21no—
200D60C22×C412yes—
201C4×D15—42no—
202Dic30—21no—
203Dic30C22×C412yes—
204C2×C5×Dic3C2×D411yescharacteristic
205C2×C5×Dic3C2×D411yescharacteristic
206C2×C5×Dic3C2×D411yescharacteristic
207C4×C5×D3—22no—
208C4×C5×D3—22no—
209C4×C5×D3C22×C412yes—
210C4×C5×D3#4112yes—
211C2×C3×Dic5—21no—
212C2×C3×Dic5—21no—
213C2×C3×Dic5—21no—
214C3×D20—21no—
215C3×D20C22×C412yes—
216C3×C4×D5—42no—
217C3×Dic10—21no—
218C3×Dic10C22×C412yes—
219#1203—24no—
220#1201—24no—
221#1200—24no—
222#1200—42no—
223D5×Dic3—24no—
224D5×Dic3—42no—
225C3×C5×C8—21no—
226C3×C5×C8C22×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×D4—51no—
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×C8C2×D511yescharacteristic
243C2×D3×C8C2×D511yescharacteristic
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—101no—
255C42×D3C2×D511yescharacteristic
256C4×Dic6—51no—
257C3×#106—51no—
258C3×#103—51no—
259C3×#102—51no—
260C3×C4×C8C2×D511yescharacteristic
261#835—51no—
262#832—51no—
263#821—51no—
264#817—51no—
265#816—51no—
266C8×Dic3C2×D511yescharacteristic
267C8×Dic3C2×D511yescharacteristic
268#810—51no—
269#809—51no—
270#807—51no—
271#807—51no—
272C4×C3⋊C8C2×D511yescharacteristic
273C22×C4×C5—31no—
274C22×C4×C5—31no—
275C22×C4×C5—31no—
276C2×C22⋊D5—61no—
277C2×C22⋊D5—61no—
278#709—34no—
279#709—34no—
280#709—62no—
281#709—62no—
282C2×D20—31no—
283C2×D20C22×D311yescharacteristic
284C2×C4×D5—21no—
285C2×C4×D5—61no—
286C2×C4×D5—61no—
287C2×C4×D5—61no—
288C2×C4×D5—61no—
289C2×C4×D5—61no—
290C2×Dic10—31no—
291C2×Dic10C22×D311yescharacteristic
292C2×C5×C8—31no—
293C2×C5×C8—34no—
294C2×C5×C8—31no—
295C2×C5×C8—62no—
296C2×C5×C8C22×D311yescharacteristic
297C2×C5×C8C22×D311yescharacteristic
298C42×C5—31no—
299C42×C5—31no—
300C42×C5—31no—
301C42×C5C22×D311yescharacteristic
302C22⋊Dic5—61no—
303C22⋊Dic5—61no—
304#685—21no—
305#685—61no—
306#685—61no—
307#685—61no—
308C4⋊Dic5—31no—
309C4⋊Dic5—31no—
310C4⋊Dic5C22×D311yescharacteristic
311C4⋊Dic5C22×D311yescharacteristic
312#683—21no—
313#683—61no—
314#683—61no—
315#683—61no—
316C4×Dic5—21no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5—61no—
321C4×Dic5—61no—
322Dic20—34no—
323D40—34no—
324#677—34no—
325#677C4×D314yescomplemented
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—151no—
336C4×D8—151no—
337#427—151no—
338#416—151no—
339#416—151no—
340C2×C4×C8—31no—
341C22×C3×C5C22×D411yescharacteristic
342C2×D15—22no—
343C2×D15—41no—
344C2×D15—41no—
345C2×C5×D3—21no—
346C2×C5×D3—21no—
347C2×C5×D3C4×D412yes—
348C2×C3×D5—22no—
349C2×C3×D5—41no—
350C2×C3×D5—41no—
351C3×C4×C5—21no—
352C3×C4×C5#13512yescomplemented
353C3×C4×C5C23×C411yescharacteristic
354C3×C4×C5C2×#4111yescharacteristic
355Dic15—22no—
356Dic15—41no—
357Dic15—41no—
358C3×Dic5—22no—
359C3×Dic5—41no—
360C3×Dic5—41no—
361C5×Dic3—21no—
362C5×Dic3C4×D412yes—
363C5×Dic3#13512yescomplemented
364C2×C3×Q8—51no—
365C2×C3×D4—51no—
366C22×C3×C4—101no—
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—101no—
377C2×C4×D3—101no—
378C2×C4×D3—101no—
379C2×C4×D3D2011yescharacteristic
380C2×C4×D3D2011yescharacteristic
381C2×C4×D3C22×D511yescharacteristic
382C2×Dic6—51no—
383C3×SD16—54no—
384C2×C3×C8C22×D511yescharacteristic
385C2×C3×C8C22×D511yescharacteristic
386C3×C4⋊C4—51no—
387C3×C4⋊C4—51no—
388C3×C4⋊C4—101no—
389C3×C22⋊C4—101no—
390C3×C42—101no—
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—101no—
405C4×Dic3—101no—
406C4×Dic3—101no—
407C4×Dic3—101no—
408C4×Dic3—101no—
409C4×Dic3D2011yescharacteristic
410C4×Dic3D2011yescharacteristic
411C4×Dic3C22×D511yescharacteristic
412C2×C3⋊C8C22×D511yescharacteristic
413C2×C3⋊C8C22×D511yescharacteristic
414#204—54no—
415D3×C8—22no—
416D3×C8C4×D514yescomplemented
417C23×C5—31no—
418C22×D5—21no—
419C22×D5—61no—
420C2×C4×C5—31no—
421C2×C4×C5—31no—
422C2×C4×C5—32no—
423C2×C4×C5—32no—
424C2×C4×C5—31no—
425C2×C4×C5—62no—
426C2×C4×C5—62no—
427C2×C4×C5D3×D411yescharacteristic
428C2×C4×C5D3×D411yescharacteristic
429C2×C4×C5C23×D311yescharacteristic
430C22⋊D5—64no—
431C22⋊D5—64no—
432C2×Dic5—21no—
433C2×Dic5—21no—
434C2×Dic5—21no—
435C2×Dic5—61no—
436C2×Dic5—61no—
437C2×Dic5—61no—
438D20—21no—
439D20—32no—
440D20—61no—
441D20C2×C4×D312yes—
442C4×D5—42no—
443C4×D5—64no—
444C4×D5—64no—
445C4×D5—122no—
446C4×D5—122no—
447C4×D5—122no—
448Dic10—21no—
449Dic10—32no—
450Dic10—61no—
451Dic10C2×C4×D312yes—
452C5×C8—21no—
453C5×C8—32no—
454C5×C8—61no—
455C5×C8C2×C4×D312yes—
456C2×#41—151no—
457C2×#41—151no—
458#135—158no—
459C2×Q16—151no—
460C2×SD16—51no—
461C2×SD16—151no—
462C2×D8—151no—
463C22×C8—31no—
464C22×C8—31no—
465C4×Q8—51no—
466C4×Q8—151no—
467C4×Q8—151no—
468C4×Q8—151no—
469C4×D4—51no—
470C4×D4—151no—
471C4×D4—151no—
472C4×D4—151no—
473C4×D4—301no—
474C4×D4—301no—
475C4×D4—301no—
476C4×D4—301no—
477#117—151no—
478#117—151no—
479#117—301no—
480#117—301no—
481C2×C42—31no—
482C2×C42—301no—
483C2×C42—301no—
484#107—151no—
485#107—151no—
486#106—51no—
487#106—151no—
488#103—51no—
489#103—151no—
490#103—151no—
491#103—151no—
492#102—51no—
493#102—151no—
494#102—151no—
495#102—151no—
496C4×C8—31no—
497C4×C8—31no—
498C4×C8—31no—
499C4×C8D3×D511yescharacteristic
500C2×C3×C5C2×C4×D411yescharacteristic
501C2×C3×C5C2×#13511yescharacteristic
502C2×C3×C5C2×#13511yescharacteristic
503D15—42no—
504C3×D5—42no—
505C5×D3—22no—
506C23×C3—101no—
507C22×D3—101no—
508C22×D3C2×D2011yescharacteristic
509C3×Q8—52no—
510C3×Q8—101no—
511C3×D4—52no—
512C3×D4—101no—
513C2×C3×C4—101no—
514C2×C3×C4—101no—
515C2×C3×C4—101no—
516C2×C3×C4—202no—
517C2×C3×C4C2×D2011yescharacteristic
518C2×C3×C4C2×D2011yescharacteristic
519C2×C3×C4C23×D511yescharacteristic
520#67—104no—
521C2×Dic3—101no—
522C2×Dic3—104no—
523C2×Dic3—101no—
524C2×Dic3—101no—
525C2×Dic3—202no—
526C2×Dic3C2×D2011yescharacteristic
527C2×Dic3C2×D2011yescharacteristic
528C2×Dic3C2×D2011yescharacteristic
529D12—52no—
530D12—104no—
531D12—101no—
532C4×D3—22no—
533C4×D3—22no—
534C4×D3—104no—
535C4×D3—202no—
536C4×D3—202no—
537C4×D3C2×C4×D512yes—
538C4×D3#70912yes—
539Dic6—52no—
540Dic6—101no—
541C3×C8—21no—
542C3×C8C2×C4×D512yes—
543C3⋊C8—21no—
544C3⋊C8C2×C4×D512yes—
545C22×C5—32no—
546C22×C5—61no—
547C22×C5—61no—
548C22×C5C2×D3×D411yescharacteristic
549C2×D5—22no—
550C2×D5—41no—
551C2×D5—41no—
552C2×D5—62no—
553C2×D5—121no—
554C2×D5—121no—
555C4×C5—21no—
556C4×C5—32no—
557C4×C5—32no—
558C4×C5—61no—
559C4×C5#91612yescomplemented
560C4×C5C22×C4×D311yescharacteristic
561C4×C5D3×#4111yescharacteristic
562Dic5—22no—
563Dic5—41no—
564Dic5—41no—
565Dic5—62no—
566Dic5—121no—
567Dic5—121no—
568#41—154no—
569#41—154no—
570#41—302no—
571#41—302no—
572C2×Q8—51no—
573C2×Q8—151no—
574C2×D4—51no—
575C2×D4—151no—
576C2×D4—301no—
577C2×D4—301no—
578C22×C4—31no—
579C22×C4—31no—
580C22×C4—31no—
581C22×C4—101no—
582C22×C4—301no—
583C22×C4—301no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587Q16—154no—
588SD16—54no—
589SD16—154no—
590D8—154no—
591C2×C8—31no—
592C2×C8—34no—
593C2×C8—31no—
594C2×C8—62no—
595C2×C8C2×D3×D511yescharacteristic
596C2×C8C2×D3×D511yescharacteristic
597C4⋊C4—51no—
598C4⋊C4—51no—
599C4⋊C4—101no—
600C4⋊C4—151no—
601C4⋊C4—151no—
602C4⋊C4—301no—
603C4⋊C4—301no—
604C4⋊C4—301no—
605C22⋊C4—101no—
606C22⋊C4—301no—
607C22⋊C4—301no—
608C22⋊C4—301no—
609C22⋊C4—301no—
610C22⋊C4—301no—
611C42—31no—
612C42—31no—
613C42—31no—
614C42—101no—
615C42—301no—
616C42—301no—
617C42—301no—
618C42—301no—
619C42—301no—
620C42C2×D3×D511yescharacteristic
621C3×C5C4×#13511yescharacteristic, complemented, Hall
622C22×C3—102no—
623C22×C3—201no—
624C22×C3—201no—
625C22×C3C22×D2011yescharacteristic
626C2×D3—21no—
627C2×D3—21no—
628C2×D3—102no—
629C2×D3—201no—
630C2×D3—201no—
631C2×D3C4×D2012yes—
632C3×C4—21no—
633C3×C4—102no—
634C3×C4—201no—
635C3×C4—201no—
636C3×C4#405012yescomplemented
637C3×C4C22×C4×D511yescharacteristic
638C3×C4C2×#70911yescharacteristic
639Dic3—21no—
640Dic3—102no—
641Dic3—201no—
642Dic3—201no—
643Dic3C4×D2012yes—
644Dic3#405012yescomplemented
645C2×C5—62no—
646C2×C5C4×D3×D411yescharacteristic
647C2×C5C2×#91611yescharacteristic
648C2×C5D3×#13511yescharacteristic
649D5—42no—
650D5—122no—
651C23—31no—
652C23—101no—
653C23—301no—
654Q8—52no—
655Q8—101no—
656Q8—152no—
657Q8—301no—
658D4—52no—
659D4—101no—
660D4—152no—
661D4—304no—
662D4—304no—
663D4—301no—
664C2×C4—31no—
665C2×C4—31no—
666C2×C4—32no—
667C2×C4—32no—
668C2×C4—31no—
669C2×C4—62no—
670C2×C4—62no—
671C2×C4—101no—
672C2×C4—101no—
673C2×C4—101no—
674C2×C4—202no—
675C2×C4—304no—
676C2×C4—304no—
677C2×C4—301no—
678C2×C4—301no—
679C2×C4—301no—
680C2×C4—602no—
681C2×C4—602no—
682C2×C4—602no—
683C2×C4D3×D2011yescharacteristic
684C2×C4D3×D2011yescharacteristic
685C2×C4C22×D3×D511yescharacteristic
686C8—21no—
687C8—32no—
688C8—61no—
689C8C4×D3×D512yes—
690C2×C3—202no—
691C2×C3C2×C4×D2011yescharacteristic
692C2×C3C2×#405011yescharacteristic
693C2×C3C2×#405011yescharacteristic
694D3—22no—
695D3—202no—
696C5C4×#91611yescharacteristic, complemented, Sylow
697C22—32no—
698C22—61no—
699C22—61no—
700C22—102no—
701C22—201no—
702C22—201no—
703C22—302no—
704C22—601no—
705C22—601no—
706C22C2×D3×D2011yescharacteristic
707C4—21no—
708C4—32no—
709C4—32no—
710C4—61no—
711C4—102no—
712C4—201no—
713C4—201no—
714C4—302no—
715C4—601no—
716C4—601no—
717C4#9127212yesdirect product factor
718C4C2×C4×D3×D511yescharacteristic
719C4D3×#70911yescharacteristic
720C3C4×#405011yescharacteristic, complemented, Sylow
721C2—62no—
722C2—202no—
723C2—602no—
724C2C4×D3×D2011yescharacteristic
725C2D3×#405011yescharacteristic
726C2C2×#9127211yescharacteristic
subgroupG/H
centerC2×C4D3×D20
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×C8C22
socleC22×C3×C5C22×D4
prime radicalC2×#91272C2
cosocleC2×C3×C4×C5C24
hypercenterC4×C8D3×D5
hypocenterC3×C5C4×#135
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C2×C4 ◁ C42 ◁ C4×C8

Complements

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

NH ≅ G/Ntype
2. C4×#6769C2semidirect
3. C4×#6765C2semidirect
4. C4×#6706C2semidirect
5. C4×C5×D3×C8C2semidirect
6. C3×C4×#677C2semidirect
7. #11748137C2semidirect
8. #11747831C2semidirect
9. #11747789C2semidirect
10. Dic3×#677C2semidirect
11. #11747740C2semidirect
12. #11747679C2semidirect
13. #11747643C2semidirect
14. C4×#6662C2semidirect
15. C4×#6653C2semidirect
44. #91272C4direct (N × H)
76. C4×#677D3semidirect
93. #6769C2×C4semidirect
95. #6765C2×C4semidirect
104. #6706C2×C4semidirect
111. C5×D3×C8C2×C4semidirect
117. C3×#677C2×C4semidirect
128. #6662C2×C4semidirect
129. #6653C2×C4semidirect
144. C4×D3×C8D5semidirect
325. #677C4×D3semidirect
352. C3×C4×C5#135semidirect
363. C5×Dic3#135semidirect
416. D3×C8C4×D5semidirect
559. C4×C5#916semidirect
621. C3×C5C4×#135semidirect
636. C3×C4#4050semidirect
644. Dic3#4050semidirect
696. C5C4×#916semidirect
717. C4#91272direct (N × H)
720. C3C4×#4050semidirect

Maximal subgroups

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

subgroupindex
C2×#912722
C4×#67692
C4×#67652
C4×#67062
C4×C5×D3×C82
C3×C4×#6772
#117481372
#117478312
#117477892
Dic3×#6772
#117477402
#117476792
#117476432
C4×#66622
C4×#66532
C4×#40503
C4×#9165