Finite Group Databasebeta

← C4×#91524 #14416874

Subgroups — C4×#91524 #14416874

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×Q8×D15C211yesmaximal, characteristic, complemented
2C2×#91524C211yesmaximal, characteristic
3C4×#6768C211yesmaximal, characteristic
4C4×C5×#215C211yesmaximal, characteristic, complemented
5C3×C4×#689C211yesmaximal, characteristic, complemented
6#11749264C211yesmaximal, characteristic, complemented
7#11749242C211yesmaximal, characteristic, complemented
8#11749218C211yesmaximal, characteristic, complemented
9#11747509C211yesmaximal, characteristic
10#11747457C211yesmaximal, characteristic, complemented
11#11747274C211yesmaximal, characteristic, complemented
12#11747235C211yesmaximal, characteristic, complemented
13C4×#6662C211yesmaximal, characteristic, complemented
14C4×#6659C211yesmaximal, characteristic, complemented
15C4×#6651C211yesmaximal, characteristic, complemented
16C4×#4061—31nomaximal, Hall
17C2×Q8×D15C2211yescharacteristic
18C2×#6768C2211yescharacteristic
19C3×C4×C5×Q8C2211yescharacteristic
20Q8×Dic15C2211yescharacteristic
21C4⋊C4×D15—21no—
22C4⋊C4×D15C2211yescharacteristic
23#91776—21no—
24#91776C2211yescharacteristic
25C42×D15—21no—
26C42×D15C2211yescharacteristic
27C4×Dic30—21no—
28C4×Dic30C2211yescharacteristic
29C2×C5×#215C2211yescharacteristic
30C4×C5×D12C2211yescharacteristic
31C2×C3×#689C2211yescharacteristic
32C3×C4×Dic10C2211yescharacteristic
33#91524C418yesdirect 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×#6651C2211yescharacteristic
44C2×#6651C2211yescharacteristic
45C5×#835C2211yescharacteristic
46C5×#809C2211yescharacteristic
47C5×#808C2211yescharacteristic
48C4×C5×C3⋊C8C2211yescharacteristic
49C3×#3967C2211yescharacteristic
50C3×#3942C2211yescharacteristic
51C3×#3939C2211yescharacteristic
52C3×C4×#168C2211yescharacteristic
53#90990C2211yescharacteristic
54#90985C2211yescharacteristic
55#90975C2211yescharacteristic
56#90974C2211yescharacteristic
57#90971C2211yescharacteristic
58#90967C2211yescharacteristic
59#90954C2211yescharacteristic
60#90954C2211yescharacteristic
61C4×#918—51nomaximal, Hall
62C2×#4061—31no—
63C4×Q8×D5—31no—
64C4×#711—31no—
65C4×C5×SD16—31no—
66#65453—31no—
67C4×#689D311yescharacteristic, complemented
68C4×#687—31no—
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×Q8C2311yescharacteristic
78Q8×D15—22no—
79Q8×D15C2×C414yescomplemented
80C2×C4×D15—21no—
81C2×C4×D15—21no—
82C2×C4×D15D411yescharacteristic
83C2×C4×D15D411yescharacteristic
84C2×C4×D15C2311yescharacteristic
85C2×Dic30—21no—
86C2×Dic30C2311yescharacteristic
87C2×C5×D12C2311yescharacteristic
88C2×C4×C5×D3—21no—
89C2×C3×Dic10C2311yescharacteristic
90C2×#1203—21no—
91C2×D3×Dic5—21no—
92C2×D3×Dic5—21no—
93#6768—22no—
94#6768C2×C414yes—
95C3×C5×C4⋊C4—21no—
96C3×C5×C4⋊C4C2311yescharacteristic
97C3×C42×C5—21no—
98C3×C42×C5C2311yescharacteristic
99C4⋊Dic15—21no—
100C4⋊Dic15C2311yescharacteristic
101#6712—21no—
102#6712—21no—
103#6712—21no—
104C4×Dic15—21no—
105C4×Dic15—21no—
106C4×Dic15—21no—
107C4×Dic15D411yescharacteristic
108C4×Dic15D411yescharacteristic
109C4×Dic15C2311yescharacteristic
110C5×#215C2×C414yescomplemented
111C5×(C2×D3)⋊C4—21no—
112C5×C4⋊Dic3C2311yescharacteristic
113C2×C5×C3⋊C8C2311yescharacteristic
114C2×C5×C3⋊C8C2311yescharacteristic
115C3×#689C2×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#6651—22no—
129#6651C2×C414yescomplemented
130C2×#918—51no—
131C4×#239—51no—
132C4×D3×Q8—51no—
133C3×C4×Q16—51no—
134#5184—51no—
135C4×#216—51no—
136C4×#215D511yescharacteristic, complemented
137#4889—51no—
138#4881—51no—
139#4817—51no—
140#4803—51no—
141#4802—51no—
142#4789—51no—
143C4×#204—51no—
144C4×ΓL(1,𝔽25)—51no—
145C2×Q8×D5—31no—
146C2×#711—31no—
147C2×C5×SD16—31no—
148C4×C5×Q8C2×D311yescharacteristic
149C4×C5×D4—31no—
150Q8×Dic5—31no—
151C2×#689C2×D311yescharacteristic
152D4×Dic5—31no—
153C2×#687—31no—
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#3967C2×D311yescharacteristic
178#3964—31no—
179#3950—31no—
180#3948—31no—
181#3948—31no—
182#3947—31no—
183#3947—31no—
184#3942—31no—
185#3942C2×D311yescharacteristic
186#3940—31no—
187#3939C2×D311yescharacteristic
188C4×#168C2×D311yescharacteristic
189C4×#137—151noSylow
190C22×D15C2×D411yescharacteristic
191C22×C5×D3—21no—
192C3×C5×Q8—21no—
193C3×C5×Q8C22×C412yes—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5C2×D411yescharacteristic
197C2×C3×C4×C5C2×D411yescharacteristic
198C2×C3×C4×C5C2411yescharacteristic
199C2×Dic15—21no—
200C2×Dic15—21no—
201C2×Dic15C2×D411yescharacteristic
202C2×Dic15C2×D411yescharacteristic
203C2×Dic15C2×D411yescharacteristic
204C4×D15—24no—
205C4×D15—22no—
206C4×D15—41no—
207C4×D15—42no—
208C4×D15C22×C412yes—
209C4×D15#4112yes—
210Dic30—21no—
211Dic30—24no—
212Dic30C22×C412yes—
213C2×C5×Dic3—21no—
214C5×D12—21no—
215C5×D12C22×C412yes—
216C4×C5×D3—42no—
217C2×C3×Dic5—21no—
218C2×C3×Dic5—21no—
219C3×Dic10—21no—
220C3×Dic10C22×C412yes—
221#1203—24no—
222D3×Dic5—24no—
223D3×Dic5—42no—
224C3×#168—21no—
225C3×#168C22×C412yes—
226C5×C3⋊C8—21no—
227C5×C3⋊C8C22×C412yes—
228C2×#239—51no—
229C2×D3×Q8—51no—
230C2×C3×Q16—51no—
231C3×C4×Q8—51no—
232C3×C4×Q8C2×D511yescharacteristic
233Q8×Dic3—51no—
234Q8×Dic3—51no—
235C2×#216—51no—
236C2×#215C2×D511yescharacteristic
237#918—58no—
238C2×#204—51no—
239C2×ΓL(1,𝔽25)—51no—
240C2×ΓL(1,𝔽25)—51no—
241#893—51no—
242#893—101no—
243#892—51no—
244#892—101no—
245D3×C4⋊C4—51no—
246D3×C4⋊C4—101no—
247#887—51no—
248#887—101no—
249C4×D12—101no—
250C4×D12C2×D511yescharacteristic
251C42×D3—51no—
252C42×D3—101no—
253C42×D3—101no—
254C4×Dic6—51no—
255C4×Dic6—101no—
256C3×#107—51no—
257C3×#103—51no—
258C3×#103—51no—
259C3×C4×C8—51no—
260#835—51no—
261#835C2×D511yescharacteristic
262#821—51no—
263#817—51no—
264#816—51no—
265#815—51no—
266#815—51no—
267#810—51no—
268#809C2×D511yescharacteristic
269#808C2×D511yescharacteristic
270#807—51no—
271C4×C3⋊C8C2×D511yescharacteristic
272C2×C5×Q8C22×D311yescharacteristic
273C2×C5×D4—31no—
274C22×C4×C5—61no—
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—21no—
294C5×C4⋊C4—31no—
295C5×C4⋊C4C22×D311yescharacteristic
296C5×C22⋊C4—61no—
297C42×C5—21no—
298C42×C5C22×D311yescharacteristic
299C22⋊Dic5—61no—
300#689C4×D314yescomplemented
301#687—34no—
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—51no—
333C4×Q16—151no—
334C4×SD16—31no—
335C4×SD16—151no—
336#428—151no—
337#419—151no—
338#417—151no—
339C4×M16—151no—
340C22×C3×C5C22×D411yescharacteristic
341C2×D15—21no—
342C2×D15—21no—
343C2×D15C4×D412yes—
344C2×C5×D3—22no—
345C2×C5×D3—41no—
346C2×C5×D3—41no—
347C3×C4×C5—22no—
348C3×C4×C5—21no—
349C3×C4×C5—41no—
350C3×C4×C5#13712yescomplemented
351C3×C4×C5C23×C411yescharacteristic
352C3×C4×C5C2×#4111yescharacteristic
353Dic15—22no—
354Dic15—21no—
355Dic15—21no—
356Dic15—41no—
357Dic15C4×D412yes—
358C3×Dic5—22no—
359C3×Dic5—41no—
360C5×Dic3—41no—
361C2×C3×Q8—51no—
362C2×C3×Q8C22×D511yescharacteristic
363#239—54no—
364#239—102no—
365D3×Q8—54no—
366D3×Q8—102no—
367C2×D12—101no—
368C2×D12C22×D511yescharacteristic
369C2×C4×D3—21no—
370C2×C4×D3—51no—
371C2×C4×D3—51no—
372C2×C4×D3—51no—
373C2×C4×D3—101no—
374C2×C4×D3—101no—
375C2×C4×D3—101no—
376C2×C4×D3—101no—
377C2×Dic6—51no—
378C2×Dic6—101no—
379C3×Q16—54no—
380C2×C3×C8—51no—
381C2×C3×C8—51no—
382C3×C4⋊C4—21no—
383C3×C4⋊C4—51no—
384C3×C4⋊C4—101no—
385C3×C4⋊C4C22×D511yescharacteristic
386C3×C42—21no—
387C3×C42—101no—
388C3×C42C22×D511yescharacteristic
389#216—54no—
390#215C4×D514yescomplemented
391(C2×D3)⋊C4—21no—
392(C2×D3)⋊C4—101no—
393(C2×D3)⋊C4—101no—
394C4⋊Dic3—51no—
395C4⋊Dic3—101no—
396C4⋊Dic3—101no—
397C4⋊Dic3C22×D511yescharacteristic
398Dic3⋊C4—101no—
399Dic3⋊C4—101no—
400Dic3⋊C4—101no—
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
411#204—54no—
412ΓL(1,𝔽25)—54no—
413ΓL(1,𝔽25)—102no—
414C23×C5—61no—
415C22×D5—31no—
416C5×Q8—21no—
417C5×Q8C2×C4×D312yes—
418C5×D4—32no—
419C5×D4—61no—
420C2×C4×C5—21no—
421C2×C4×C5—21no—
422C2×C4×C5—61no—
423C2×C4×C5—122no—
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—121no—
442C4×D5—122no—
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—51no—
456C2×Q16—151no—
457C2×SD16—31no—
458C2×SD16—151no—
459C2×M16—151no—
460C2×M16—151no—
461C4×Q8—51no—
462C4×Q8—151no—
463C4×Q8—151no—
464C4×Q8—151no—
465C4×Q8—151no—
466C4×Q8—301no—
467C4×Q8—301no—
468C4×Q8D3×D511yescharacteristic
469C4×D4—31no—
470C4×D4—151no—
471C4×D4—301no—
472C4×D4—301no—
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—51no—
481#107—151no—
482#106—31no—
483#106—151no—
484#103—31no—
485#103—51no—
486#103—51no—
487#103—151no—
488#103—151no—
489#103—151no—
490#102—31no—
491#102—151no—
492#97—151no—
493#97—151no—
494C4×C8—31no—
495C4×C8—51no—
496C2×C3×C5C2×C4×D411yescharacteristic
497C2×C3×C5C2×#13711yescharacteristic
498C2×C3×C5#57511yescharacteristic
499D15—22no—
500C5×D3—42no—
501C22×D3—21no—
502C22×D3—51no—
503C3×Q8—21no—
504C3×Q8—52no—
505C3×Q8—101no—
506C3×Q8C2×C4×D512yes—
507C2×C3×C4—21no—
508C2×C3×C4—21no—
509C2×C3×C4—101no—
510C2×C3×C4—101no—
511C2×C3×C4D4×D511yescharacteristic
512C2×C3×C4D4×D511yescharacteristic
513C2×C3×C4C23×D511yescharacteristic
514C2×Dic3—21no—
515C2×Dic3—51no—
516C2×Dic3—51no—
517C2×Dic3—51no—
518C2×Dic3—101no—
519C2×Dic3—101no—
520D12—21no—
521D12—104no—
522D12C2×C4×D512yes—
523C4×D3—42no—
524C4×D3—52no—
525C4×D3—52no—
526C4×D3—104no—
527C4×D3—104no—
528C4×D3—102no—
529C4×D3—201no—
530C4×D3—202no—
531C4×D3—202no—
532Dic6—52no—
533Dic6—104no—
534Dic6—101no—
535C3×C8—52no—
536C3×C8—101no—
537C3⋊C8—21no—
538C3⋊C8C2×C4×D512yes—
539C22×C5—62no—
540C22×C5—121no—
541C22×C5—121no—
542C22×C5C2×D3×D411yescharacteristic
543C2×D5—32no—
544C2×D5—61no—
545C2×D5—61no—
546C4×C5—21no—
547C4×C5—22no—
548C4×C5—41no—
549C4×C5—121no—
550C4×C5#91812yescomplemented
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—51no—
563C2×Q8—154no—
564C2×Q8—151no—
565C2×Q8—301no—
566C2×Q8—302no—
567C2×Q8C2×D3×D511yescharacteristic
568C2×D4—31no—
569C2×D4—301no—
570C22×C4—61no—
571C22×C4—151no—
572C22×C4—151no—
573C22×C4—151no—
574C22×C4—301no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4—301no—
578Q16—54no—
579Q16—154no—
580SD16—34no—
581SD16—154no—
582M16—154no—
583M16—302no—
584C2×C8—31no—
585C2×C8—31no—
586C2×C8—51no—
587C2×C8—51no—
588C4⋊C4—21no—
589C4⋊C4—31no—
590C4⋊C4—51no—
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—61no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C42—21no—
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×C3C2×D4×D511yescharacteristic
615C2×D3—22no—
616C2×D3—41no—
617C2×D3—41no—
618C2×D3—52no—
619C2×D3—101no—
620C2×D3—101no—
621C3×C4—21no—
622C3×C4—22no—
623C3×C4—41no—
624C3×C4—102no—
625C3×C4—201no—
626C3×C4#406112yescomplemented
627C3×C4C22×C4×D511yescharacteristic
628C3×C4D5×#4111yescharacteristic
629Dic3—41no—
630Dic3—52no—
631Dic3—101no—
632Dic3—101no—
633Dic3—102no—
634Dic3—201no—
635C2×C5—122no—
636C2×C5C4×D3×D411yescharacteristic
637C2×C5C2×#91811yescharacteristic
638C2×C5#576811yescharacteristic
639D5—62no—
640C23—61no—
641C23—151no—
642Q8—21no—
643Q8—52no—
644Q8—101no—
645Q8—152no—
646Q8—304no—
647Q8—301no—
648Q8C4×D3×D512yes—
649D4—32no—
650D4—61no—
651D4—304no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—61no—
655C2×C4—101no—
656C2×C4—101no—
657C2×C4—122no—
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×C3C4×D4×D511yescharacteristic
679C2×C3C2×#406111yescharacteristic
680C2×C3#6610211yescharacteristic
681D3—42no—
682D3—102no—
683C5C4×#91811yescharacteristic, complemented, Sylow
684C22—62no—
685C22—121no—
686C22—121no—
687C22—152no—
688C22—301no—
689C22—301no—
690C22C2×#679011yescharacteristic
691C4—21no—
692C4—22no—
693C4—41no—
694C4—102no—
695C4—121no—
696C4—152no—
697C4—201no—
698C4—301no—
699C4—301no—
700C4—302no—
701C4—601no—
702C4#9152412yesdirect product factor
703C4C2×C4×D3×D511yescharacteristic
704C4#9201611yescharacteristic
705C3C4×#406111yescharacteristic, complemented, Sylow
706C2—122no—
707C2—302no—
708C2C4×#679011yescharacteristic
709C2C2×#9152411yescharacteristic
710C2#1175532911yescharacteristic
subgroupG/H
centerC2×C4#6790
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×Q8C22
socleC22×C3×C5C22×D4
prime radicalC2×#6768C22
cosocleC2×C3×C4×C5C24
hypercenterC4×Q8D3×D5
hypocenterC3×C5C4×#137
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C2×C4 ◁ C42 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
1. C4×Q8×D15C2semidirect
4. C4×C5×#215C2semidirect
5. C3×C4×#689C2semidirect
6. #11749264C2semidirect
7. #11749242C2semidirect
8. #11749218C2semidirect
10. #11747457C2semidirect
11. #11747274C2semidirect
12. #11747235C2semidirect
13. C4×#6662C2semidirect
14. C4×#6659C2semidirect
15. C4×#6651C2semidirect
33. #91524C4direct (N × H)
67. C4×#689D3semidirect
79. Q8×D15C2×C4semidirect
110. C5×#215C2×C4semidirect
115. C3×#689C2×C4semidirect
126. #6662C2×C4semidirect
127. #6659C2×C4semidirect
129. #6651C2×C4semidirect
136. C4×#215D5semidirect
300. #689C4×D3semidirect
350. C3×C4×C5#137semidirect
390. #215C4×D5semidirect
550. C4×C5#918semidirect
613. C3×C5C4×#137semidirect
626. C3×C4#4061semidirect
683. C5C4×#918semidirect
702. C4#91524direct (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×Q8×D152
C2×#915242
C4×#67682
C4×C5×#2152
C3×C4×#6892
#117492642
#117492422
#117492182
#117475092
#117474572
#117472742
#117472352
C4×#66622
C4×#66592
C4×#66512
C4×#40613
C4×#9185