Finite Group Databasebeta

← C4×#91488 #14416871

Subgroups — C4×#91488 #14416871

Order 1920.

968 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#6819C211yesmaximal, characteristic
2C2×#91488C211yesmaximal, characteristic
3C4×D15⋊Q8C211yesmaximal, characteristic, complemented
4C4×C5×#214C211yesmaximal, characteristic, complemented
5C3×C4×#687C211yesmaximal, characteristic, complemented
6#11749020C211yesmaximal, characteristic, complemented
7#11749018C211yesmaximal, characteristic, complemented
8#11748959C211yesmaximal, characteristic
9#11747491C211yesmaximal, characteristic, complemented
10#11747459C211yesmaximal, characteristic, complemented
11#11747281C211yesmaximal, characteristic, complemented
12#11747274C211yesmaximal, characteristic, complemented
13C4×#6663C211yesmaximal, characteristic, complemented
14C4×#6662C211yesmaximal, characteristic, complemented
15C4×#6651C211yesmaximal, characteristic, complemented
16C4×#4061—31nomaximal, Hall
17C2×#6819C2211yescharacteristic
18C2×D15⋊Q8C2211yescharacteristic
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×#214C2211yescharacteristic
30C4×C5×Dic6C2211yescharacteristic
31C2×C3×#687C2211yescharacteristic
32C3×C4×Dic10C2211yescharacteristic
33#91488C418yesdirect product factor
34C4×#1204—21no—
35#91437C2211yescharacteristic
36#91404—21no—
37C4×#1200—21no—
38#91344C2211yescharacteristic
39#91331C2211yescharacteristic
40#91325—21no—
41C2×#6663C2211yescharacteristic
42C2×#6662C2211yescharacteristic
43C2×#6651C2211yescharacteristic
44C2×#6651C2211yescharacteristic
45C5×#832C2211yescharacteristic
46C5×#810C2211yescharacteristic
47C5×#808C2211yescharacteristic
48C4×C5×C3⋊C8C2211yescharacteristic
49C3×#3964C2211yescharacteristic
50C3×#3942C2211yescharacteristic
51C3×#3940C2211yescharacteristic
52C3×C4×#168C2211yescharacteristic
53#90990C2211yescharacteristic
54#90988C2211yescharacteristic
55#90975C2211yescharacteristic
56#90974C2211yescharacteristic
57#90973C2211yescharacteristic
58#90971C2211yescharacteristic
59#90954C2211yescharacteristic
60#90954C2211yescharacteristic
61C4×#915—51nomaximal, Hall
62C2×#4061—31no—
63C4×Q8×D5—31no—
64C4×#711—31no—
65C4×C5×SD16—31no—
66#65453—31no—
67C4×#689—31no—
68C4×#687D311yescharacteristic, complemented
69#65150—31no—
70#65142—31no—
71#65091—31no—
72#65078—31no—
73#65060—31no—
74#65046—31no—
75C4×Dic20—31no—
76C4×#676—31no—
77C2×C3×C5×D4C2311yescharacteristic
78C22×C3×C4×C5—21no—
79C2×#1220—21no—
80C22×Dic15—21no—
81C22×Dic15—21no—
82#6819—22no—
83#6819C2×C414yes—
84C2×C4×D15D411yescharacteristic
85C2×C4×D15D411yescharacteristic
86C2×C4×D15C2311yescharacteristic
87C2×Dic30C2311yescharacteristic
88C2×C5×Dic6C2311yescharacteristic
89C2×C3×Dic10C2311yescharacteristic
90C2×#1204—21no—
91C2×#1200—21no—
92C2×#1200—21no—
93D15⋊Q8—22no—
94D15⋊Q8C2×C414yescomplemented
95C3×C5×C4⋊C4C2311yescharacteristic
96C3×C5×C22⋊C4—21no—
97C3×C42×C5C2311yescharacteristic
98#6719—21no—
99#6714—21no—
100C4⋊Dic15C2311yescharacteristic
101#6712—21no—
102#6712—21no—
103C4×Dic15—21no—
104C4×Dic15—21no—
105C4×Dic15—21no—
106C4×Dic15D411yescharacteristic
107C4×Dic15D411yescharacteristic
108C4×Dic15C2311yescharacteristic
109C5×#214C2×C414yescomplemented
110C5×C4⋊Dic3C2311yescharacteristic
111C5×Dic3⋊C4—21no—
112C4×C5×Dic3—21no—
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
121Dic3⋊Dic5—21no—
122#6669—21no—
123#6668—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126#6663C2×C414yescomplemented
127#6662C2×C414yescomplemented
128#6651—22no—
129#6651C2×C414yescomplemented
130C2×#915—51no—
131C4×D3×Q8—51no—
132C4×#237—51no—
133C3×C4×SD16—51no—
134#5164—51no—
135C4×#216—51no—
136C4×#214D511yescharacteristic, complemented
137#4861—51no—
138#4853—51no—
139#4802—51no—
140#4789—51no—
141#4771—51no—
142#4757—51no—
143C4×Dic12—51no—
144C4×ΓL(1,𝔽25)—51no—
145C2×Q8×D5—31no—
146C2×#711—31no—
147C2×C5×SD16—31no—
148C4×C5×Q8—31no—
149C4×C5×D4C2×D311yescharacteristic
150Q8×Dic5—31no—
151C2×#689—31no—
152D4×Dic5—31no—
153C2×#687C2×D311yescharacteristic
154C4×C22⋊D5—61no—
155C2×C4×Dic5—61no—
156#4061—38no—
157C2×Dic20—31no—
158C2×#676—31no—
159C2×#676—31no—
160#4038—31no—
161D5×C4⋊C4—31no—
162D5×C4⋊C4—61no—
163#4033—31no—
164#4033—31no—
165#4033—61no—
166#4027—61no—
167#4023—61no—
168C42×D5—31no—
169C42×D5—61no—
170C4×Dic10—31no—
171C4×Dic10—61no—
172C4×Dic10C2×D311yescharacteristic
173C5×#106—31no—
174C5×#103—31no—
175C5×#102—31no—
176C4×C5×C8—31no—
177#3967—31no—
178#3964C2×D311yescharacteristic
179#3950—31no—
180#3948—31no—
181#3948—31no—
182#3947—31no—
183#3947—31no—
184#3942—31no—
185#3942C2×D311yescharacteristic
186#3940C2×D311yescharacteristic
187#3939—31no—
188C4×#168C2×D311yescharacteristic
189C4×#137—151noSylow
190C23×C3×C5—21no—
191C22×D15C2×D411yescharacteristic
192C3×C5×D4—21no—
193C3×C5×D4C22×C412yes—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5—42no—
196C2×C3×C4×C5C2×D411yescharacteristic
197C2×C3×C4×C5C2×D411yescharacteristic
198C2×C3×C4×C5C2411yescharacteristic
199#1220—24no—
200C2×Dic15—21no—
201C2×Dic15—24no—
202C2×Dic15—21no—
203C2×Dic15—42no—
204C2×Dic15C2×D411yescharacteristic
205C2×Dic15C2×D411yescharacteristic
206C2×Dic15C2×D411yescharacteristic
207C4×D15—22no—
208C4×D15—41no—
209C4×D15C22×C412yes—
210C4×D15#4112yes—
211Dic30—21no—
212Dic30C22×C412yes—
213C2×C5×Dic3—21no—
214C2×C5×Dic3—21no—
215C5×Dic6—21no—
216C5×Dic6C22×C412yes—
217C2×C3×Dic5—21no—
218C2×C3×Dic5—21no—
219C3×Dic10—21no—
220C3×Dic10C22×C412yes—
221#1204—24no—
222#1200—24no—
223#1200—42no—
224C3×#168—21no—
225C3×#168C22×C412yes—
226C5×C3⋊C8—21no—
227C5×C3⋊C8C22×C412yes—
228C2×D3×Q8—51no—
229C2×#237—51no—
230C2×C3×SD16—51no—
231C3×C4×Q8—51no—
232C3×C4×D4C2×D511yescharacteristic
233Q8×Dic3—51no—
234C2×#216—51no—
235D4×Dic3—51no—
236C2×#214C2×D511yescharacteristic
237C4×#67—101no—
238C2×C4×Dic3—101no—
239#915—58no—
240C2×Dic12—51no—
241C2×ΓL(1,𝔽25)—51no—
242C2×ΓL(1,𝔽25)—51no—
243#892—51no—
244D3×C4⋊C4—51no—
245D3×C4⋊C4—101no—
246#887—51no—
247#887—51no—
248#887—101no—
249#67⋊C4—101no—
250#877—101no—
251C42×D3—51no—
252C42×D3—101no—
253C4×Dic6—51no—
254C4×Dic6—101no—
255C4×Dic6C2×D511yescharacteristic
256C3×#106—51no—
257C3×#103—51no—
258C3×#102—51no—
259C3×C4×C8—51no—
260#835—51no—
261#832C2×D511yescharacteristic
262#818—51no—
263#816—51no—
264#816—51no—
265#815—51no—
266#815—51no—
267#810—51no—
268#810C2×D511yescharacteristic
269#808C2×D511yescharacteristic
270#807—51no—
271C4×C3⋊C8C2×D511yescharacteristic
272C2×C5×Q8—31no—
273C2×C5×D4C22×D311yescharacteristic
274C22×C4×C5—21no—
275C2×C22⋊D5—61no—
276C22×Dic5—61no—
277C22×Dic5—61no—
278Q8×D5—34no—
279Q8×D5—62no—
280#711—34no—
281#711—62no—
282C2×C4×D5—31no—
283C2×C4×D5—31no—
284C2×C4×D5—31no—
285C2×C4×D5—61no—
286C2×C4×D5—61no—
287C2×Dic10—31no—
288C2×Dic10—61no—
289C2×Dic10C22×D311yescharacteristic
290C5×SD16—34no—
291C2×C5×C8—31no—
292C2×C5×C8—31no—
293C5×C4⋊C4—31no—
294C5×C4⋊C4—61no—
295C5×C4⋊C4C22×D311yescharacteristic
296C5×C22⋊C4—21no—
297C42×C5—61no—
298C42×C5C22×D311yescharacteristic
299C22⋊Dic5—61no—
300#689—34no—
301#687C4×D314yescomplemented
302#685—61no—
303C4⋊Dic5—31no—
304C4⋊Dic5—61no—
305C4⋊Dic5C22×D311yescharacteristic
306#683—21no—
307#683—61no—
308#683—61no—
309#683—61no—
310#683—61no—
311C4×Dic5—21no—
312C4×Dic5—31no—
313C4×Dic5—31no—
314C4×Dic5—31no—
315C4×Dic5—61no—
316C4×Dic5—61no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C2×#168C22×D311yescharacteristic
321C2×#168C22×D311yescharacteristic
322Dic20—34no—
323#676—34no—
324#676—62no—
325C2×#137—151no—
326C4×#41—151no—
327C2×C4×Q8—151no—
328#441—151no—
329#441—151no—
330#440—151no—
331#440—151no—
332C4×Q16—151no—
333C4×Q16—151no—
334C4×SD16—31no—
335C4×SD16—51no—
336#428—151no—
337#419—151no—
338#417—151no—
339C4×M16—151no—
340C22×C3×C5—22no—
341C22×C3×C5—41no—
342C22×C3×C5—41no—
343C22×C3×C5C22×D411yescharacteristic
344C2×D15—21no—
345C2×D15—21no—
346C2×D15C4×D412yes—
347C3×C4×C5—21no—
348C3×C4×C5—41no—
349C3×C4×C5#13712yescomplemented
350C3×C4×C5C23×C411yescharacteristic
351C3×C4×C5C2×#4111yescharacteristic
352Dic15—22no—
353Dic15—21no—
354Dic15—21no—
355Dic15—41no—
356Dic15C4×D412yes—
357C3×Dic5—22no—
358C3×Dic5—41no—
359C5×Dic3—22no—
360C5×Dic3—41no—
361C2×C3×Q8—51no—
362C2×C3×D4C22×D511yescharacteristic
363C22×C3×C4—21no—
364C2×#67—101no—
365C22×Dic3—101no—
366C22×Dic3—101no—
367D3×Q8—54no—
368D3×Q8—102no—
369#237—54no—
370#237—102no—
371C2×C4×D3—51no—
372C2×C4×D3—51no—
373C2×C4×D3—51no—
374C2×C4×D3—101no—
375C2×C4×D3—101no—
376C2×Dic6—51no—
377C2×Dic6—101no—
378C2×Dic6C22×D511yescharacteristic
379C3×SD16—54no—
380C2×C3×C8—51no—
381C2×C3×C8—51no—
382C3×C4⋊C4—51no—
383C3×C4⋊C4—101no—
384C3×C4⋊C4C22×D511yescharacteristic
385C3×C22⋊C4—21no—
386C3×C42—101no—
387C3×C42C22×D511yescharacteristic
388#217—101no—
389#216—54no—
390#214C4×D514yescomplemented
391(C2×D3)⋊C4—101no—
392C4⋊Dic3—51no—
393C4⋊Dic3—101no—
394C4⋊Dic3C22×D511yescharacteristic
395Dic3⋊C4—21no—
396Dic3⋊C4—101no—
397Dic3⋊C4—101no—
398Dic3⋊C4—101no—
399Dic3⋊C4—101no—
400C4×Dic3—21no—
401C4×Dic3—51no—
402C4×Dic3—51no—
403C4×Dic3—51no—
404C4×Dic3—101no—
405C4×Dic3—101no—
406C4×Dic3—101no—
407C4×Dic3—101no—
408C4×Dic3—101no—
409C2×C3⋊C8C22×D511yescharacteristic
410C2×C3⋊C8C22×D511yescharacteristic
411Dic12—54no—
412ΓL(1,𝔽25)—54no—
413ΓL(1,𝔽25)—102no—
414C23×C5—21no—
415C22×D5—31no—
416C5×Q8—32no—
417C5×Q8—61no—
418C5×D4—21no—
419C5×D4C2×C4×D312yes—
420C2×C4×C5—21no—
421C2×C4×C5—42no—
422C2×C4×C5—61no—
423C2×C4×C5—61no—
424C2×C4×C5D3×D411yescharacteristic
425C2×C4×C5D3×D411yescharacteristic
426C2×C4×C5C23×D311yescharacteristic
427C22⋊D5—64no—
428C2×Dic5—21no—
429C2×Dic5—21no—
430C2×Dic5—31no—
431C2×Dic5—31no—
432C2×Dic5—31no—
433C2×Dic5—64no—
434C2×Dic5—61no—
435C2×Dic5—61no—
436C2×Dic5—122no—
437C4×D5—32no—
438C4×D5—32no—
439C4×D5—64no—
440C4×D5—62no—
441C4×D5—122no—
442C4×D5—121no—
443Dic10—21no—
444Dic10—32no—
445Dic10—64no—
446Dic10—61no—
447Dic10C2×C4×D312yes—
448C5×C8—32no—
449C5×C8—61no—
450#168—21no—
451#168C2×C4×D312yes—
452C2×#41—151no—
453C22×Q8—151no—
454#137—158no—
455C2×Q16—151no—
456C2×Q16—151no—
457C2×SD16—31no—
458C2×SD16—51no—
459C2×M16—151no—
460C2×M16—151no—
461C4×Q8—31no—
462C4×Q8—51no—
463C4×Q8—151no—
464C4×Q8—151no—
465C4×Q8—151no—
466C4×Q8—151no—
467C4×Q8—301no—
468C4×Q8—301no—
469C4×D4—151no—
470C4×D4—301no—
471C4×D4—301no—
472C4×D4D3×D511yescharacteristic
473#117—151no—
474#117—301no—
475C2×C4⋊C4—151no—
476C2×C4⋊C4—301no—
477C2×C42—151no—
478C2×C42—301no—
479C2×C42—301no—
480#107—151no—
481#107—151no—
482#106—31no—
483#106—51no—
484#103—31no—
485#103—51no—
486#103—151no—
487#103—151no—
488#103—151no—
489#103—151no—
490#102—31no—
491#102—51no—
492#97—151no—
493#97—151no—
494C4×C8—31no—
495C4×C8—51no—
496C2×C3×C5—42no—
497C2×C3×C5C2×C4×D411yescharacteristic
498C2×C3×C5C2×#13711yescharacteristic
499C2×C3×C5#57511yescharacteristic
500D15—22no—
501C23×C3—21no—
502C22×D3—51no—
503C3×Q8—52no—
504C3×Q8—101no—
505C3×D4—21no—
506C3×D4C2×C4×D512yes—
507C2×C3×C4—21no—
508C2×C3×C4—42no—
509C2×C3×C4—101no—
510C2×C3×C4—101no—
511C2×C3×C4D4×D511yescharacteristic
512C2×C3×C4D4×D511yescharacteristic
513C2×C3×C4C23×D511yescharacteristic
514#67—104no—
515C2×Dic3—21no—
516C2×Dic3—21no—
517C2×Dic3—51no—
518C2×Dic3—51no—
519C2×Dic3—51no—
520C2×Dic3—104no—
521C2×Dic3—101no—
522C2×Dic3—101no—
523C2×Dic3—202no—
524C4×D3—52no—
525C4×D3—52no—
526C4×D3—104no—
527C4×D3—102no—
528C4×D3—202no—
529C4×D3—201no—
530Dic6—21no—
531Dic6—52no—
532Dic6—104no—
533Dic6—101no—
534Dic6C2×C4×D512yes—
535C3×C8—52no—
536C3×C8—101no—
537C3⋊C8—21no—
538C3⋊C8C2×C4×D512yes—
539C22×C5—22no—
540C22×C5—41no—
541C22×C5—41no—
542C22×C5C2×D3×D411yescharacteristic
543C2×D5—32no—
544C2×D5—61no—
545C2×D5—61no—
546C4×C5—21no—
547C4×C5—41no—
548C4×C5—62no—
549C4×C5—121no—
550C4×C5#91512yescomplemented
551C4×C5C22×C4×D311yescharacteristic
552C4×C5D3×#4111yescharacteristic
553Dic5—22no—
554Dic5—32no—
555Dic5—41no—
556Dic5—61no—
557Dic5—61no—
558Dic5—62no—
559Dic5—121no—
560#41—154no—
561#41—302no—
562C2×Q8—31no—
563C2×Q8—51no—
564C2×Q8—154no—
565C2×Q8—151no—
566C2×Q8—301no—
567C2×Q8—302no—
568C2×D4—301no—
569C2×D4C2×D3×D511yescharacteristic
570C22×C4—21no—
571C22×C4—151no—
572C22×C4—151no—
573C22×C4—151no—
574C22×C4—301no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4—301no—
578Q16—154no—
579Q16—154no—
580SD16—34no—
581SD16—54no—
582M16—154no—
583M16—302no—
584C2×C8—31no—
585C2×C8—31no—
586C2×C8—51no—
587C2×C8—51no—
588C4⋊C4—31no—
589C4⋊C4—51no—
590C4⋊C4—61no—
591C4⋊C4—101no—
592C4⋊C4—151no—
593C4⋊C4—301no—
594C4⋊C4—301no—
595C4⋊C4—301no—
596C4⋊C4—301no—
597C4⋊C4—301no—
598C4⋊C4C2×D3×D511yescharacteristic
599C22⋊C4—21no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C42—61no—
603C42—101no—
604C42—151no—
605C42—151no—
606C42—151no—
607C42—301no—
608C42—301no—
609C42—301no—
610C42—301no—
611C42—301no—
612C42C2×D3×D511yescharacteristic
613C3×C5C4×#13711yescharacteristic, complemented, Hall
614C22×C3—22no—
615C22×C3—41no—
616C22×C3—41no—
617C22×C3C2×D4×D511yescharacteristic
618C2×D3—52no—
619C2×D3—101no—
620C2×D3—101no—
621C3×C4—21no—
622C3×C4—41no—
623C3×C4—102no—
624C3×C4—201no—
625C3×C4#406112yescomplemented
626C3×C4C22×C4×D511yescharacteristic
627C3×C4D5×#4111yescharacteristic
628Dic3—22no—
629Dic3—41no—
630Dic3—52no—
631Dic3—101no—
632Dic3—101no—
633Dic3—102no—
634Dic3—201no—
635C2×C5—42no—
636C2×C5C4×D3×D411yescharacteristic
637C2×C5C2×#91511yescharacteristic
638C2×C5#576811yescharacteristic
639D5—62no—
640C23—21no—
641C23—151no—
642Q8—32no—
643Q8—52no—
644Q8—61no—
645Q8—101no—
646Q8—152no—
647Q8—304no—
648Q8—301no—
649D4—21no—
650D4—304no—
651D4C4×D3×D512yes—
652C2×C4—21no—
653C2×C4—42no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—101no—
657C2×C4—101no—
658C2×C4—151no—
659C2×C4—152no—
660C2×C4—152no—
661C2×C4—151no—
662C2×C4—151no—
663C2×C4—304no—
664C2×C4—304no—
665C2×C4—301no—
666C2×C4—302no—
667C2×C4—301no—
668C2×C4—601no—
669C2×C4—602no—
670C2×C4—602no—
671C2×C4#679011yescharacteristic
672C2×C4#679011yescharacteristic
673C2×C4C22×D3×D511yescharacteristic
674C8—32no—
675C8—52no—
676C8—61no—
677C8—101no—
678C2×C3—42no—
679C2×C3C4×D4×D511yescharacteristic
680C2×C3C2×#406111yescharacteristic
681C2×C3#6610211yescharacteristic
682D3—102no—
683C5C4×#91511yescharacteristic, complemented, Sylow
684C22—22no—
685C22—41no—
686C22—41no—
687C22—152no—
688C22—301no—
689C22—301no—
690C22C2×#679011yescharacteristic
691C4—21no—
692C4—41no—
693C4—62no—
694C4—102no—
695C4—121no—
696C4—152no—
697C4—201no—
698C4—301no—
699C4—302no—
700C4—301no—
701C4—601no—
702C4#9148812yesdirect product factor
703C4C2×C4×D3×D511yescharacteristic
704C4#9201611yescharacteristic
705C3C4×#406111yescharacteristic, complemented, Sylow
706C2—42no—
707C2—302no—
708C2C4×#679011yescharacteristic
709C2C2×#9148811yescharacteristic
710C2#1175532911yescharacteristic
subgroupG/H
centerC2×C4#6790
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×D4C22
socleC22×C3×C5C22×D4
prime radicalC2×#6819C22
cosocleC2×C3×C4×C5C24
hypercenterC4×D4D3×D5
hypocenterC3×C5C4×#137
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
3. C4×D15⋊Q8C2semidirect
4. C4×C5×#214C2semidirect
5. C3×C4×#687C2semidirect
6. #11749020C2semidirect
7. #11749018C2semidirect
9. #11747491C2semidirect
10. #11747459C2semidirect
11. #11747281C2semidirect
12. #11747274C2semidirect
13. C4×#6663C2semidirect
14. C4×#6662C2semidirect
15. C4×#6651C2semidirect
33. #91488C4direct (N × H)
68. C4×#687D3semidirect
94. D15⋊Q8C2×C4semidirect
109. C5×#214C2×C4semidirect
115. C3×#687C2×C4semidirect
126. #6663C2×C4semidirect
127. #6662C2×C4semidirect
129. #6651C2×C4semidirect
136. C4×#214D5semidirect
301. #687C4×D3semidirect
349. C3×C4×C5#137semidirect
390. #214C4×D5semidirect
550. C4×C5#915semidirect
613. C3×C5C4×#137semidirect
625. C3×C4#4061semidirect
683. C5C4×#915semidirect
702. C4#91488direct (N × H)
705. C3C4×#4061semidirect

Maximal subgroups

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

subgroupindex
C4×#68192
C2×#914882
C4×D15⋊Q82
C4×C5×#2142
C3×C4×#6872
#117490202
#117490182
#117489592
#117474912
#117474592
#117472812
#117472742
C4×#66632
C4×#66622
C4×#66512
C4×#40613
C4×#9155