Finite Group Databasebeta

← #14416853

Subgroups — #14416853

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
1C2×#91804C211yesmaximal, characteristic
2Q8×#1200C211yesmaximal, characteristic, complemented
3#11754853C211yesmaximal, characteristic
4C5×Dic3×SD16C211yesmaximal, characteristic, complemented
5C3×#65453C211yesmaximal, characteristic, complemented
6#11749257C211yesmaximal, characteristic, complemented
7#11749250C211yesmaximal, characteristic, complemented
8#11749218C211yesmaximal, characteristic, complemented
9#11749011C211yesmaximal, characteristic, complemented
10#11749004C211yesmaximal, characteristic, complemented
11#11748959C211yesmaximal, characteristic
12#11747873C211yesmaximal, characteristic, complemented
13#11747854C211yesmaximal, characteristic, complemented
14#11747640C211yesmaximal, characteristic, complemented
15#11747599C211yesmaximal, characteristic, complemented
16C4×#4061—31nomaximal, Hall
17C2×Q8×D15C2211yescharacteristic
18C2×#6819C2211yescharacteristic
19C2×C3×C5×SD16C2211yescharacteristic
20C2×#6718C2211yescharacteristic
21C2×#6716C2211yescharacteristic
22#91804C418yescomplemented
23C2×Dic60C2211yescharacteristic
24C2×#6705C2211yescharacteristic
25C5×Q8×Dic3C2211yescharacteristic
26C5×D4×Dic3C2211yescharacteristic
27C3×Q8×Dic5C2211yescharacteristic
28C3×D4×Dic5C2211yescharacteristic
29#91556—21no—
30#91552—21no—
31#91532—21no—
32C2×Dic3×Dic5—21no—
33#91437—21no—
34#91437C2211yescharacteristic
35C4×#1200—21no—
36C4×#1200C2211yescharacteristic
37#91347C2211yescharacteristic
38#91340—21no—
39#91340C2211yescharacteristic
40#91340C2211yescharacteristic
41#91333—21no—
42#91333C2211yescharacteristic
43#91333C2211yescharacteristic
44C2×#6651C2211yescharacteristic
45C5×#835C2211yescharacteristic
46C5×#832C2211yescharacteristic
47C5×#817C2211yescharacteristic
48C5×C8×Dic3C2211yescharacteristic
49C3×#3967C2211yescharacteristic
50C3×#3964C2211yescharacteristic
51C3×#3950C2211yescharacteristic
52C3×#3947C2211yescharacteristic
53#90989C2211yescharacteristic
54#90986C2211yescharacteristic
55#90975C2211yescharacteristic
56#90975C2211yescharacteristic
57#90974C2211yescharacteristic
58#90974C2211yescharacteristic
59#90952C2211yescharacteristic
60Dic3×#168C2211yescharacteristic
61#79774—51nomaximal, Hall
62C2×#4061—31no—
63C4×Q8×D5—31no—
64C4×#711—31no—
65C4×C5×SD16—31no—
66#65453D311yescharacteristic, complemented
67C4×#689—31no—
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
78C2×C3×C5×D4C2311yescharacteristic
79C2×#1220—21no—
80C22×Dic15—21no—
81Q8×D15—22no—
82Q8×D15C2×C414yescomplemented
83#6819—22no—
84#6819C2×C414yes—
85C2×C4×D15—21no—
86C2×C4×D15C2311yescharacteristic
87C2×Dic30—21no—
88C2×Dic30C2311yescharacteristic
89C2×Dic30C2311yescharacteristic
90C22×C5×Dic3—21no—
91C22×C3×Dic5—21no—
92C2×#1200—21no—
93C2×#1200D411yescharacteristic
94C2×#1200D411yescharacteristic
95C3×C5×SD16C2×C414yescomplemented
96C2×C3×C5×C8C2311yescharacteristic
97#6718C2×C414yescomplemented
98#6716C2×C414yescomplemented
99C2×C3⋊#168C2311yescharacteristic
100Dic60C2×C414yescomplemented
101#6705C2×C414yescomplemented
102C5×#217—21no—
103C5×C4⋊Dic3—21no—
104C5×C4⋊Dic3C2311yescharacteristic
105C5×C4⋊Dic3C2311yescharacteristic
106C4×C5×Dic3—21no—
107C4×C5×Dic3C2311yescharacteristic
108C2×C5×C3⋊C8C2311yescharacteristic
109C3×C22⋊Dic5—21no—
110C3×C4⋊Dic5—21no—
111C3×C4⋊Dic5C2311yescharacteristic
112C3×C4⋊Dic5C2311yescharacteristic
113C3×C4×Dic5—21no—
114C3×C4×Dic5C2311yescharacteristic
115C2×C3×#168C2311yescharacteristic
116#6669—21no—
117#6669—21no—
118#6669—21no—
119#6669—21no—
120#6669—21no—
121#6667—21no—
122Dic3×Dic5—21no—
123Dic3×Dic5—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126Dic3×Dic5—21no—
127Dic3×Dic5D411yescharacteristic
128Dic3×Dic5D411yescharacteristic
129#6651—22no—
130C2×#915—51no—
131C4×D3×Q8—51no—
132C4×#237—51no—
133C3×#440—51no—
134Dic3×SD16D511yescharacteristic, complemented
135#5030—51no—
136#5018—51no—
137#4881—51no—
138#4873—51no—
139#4802—51no—
140#4790—51no—
141#4771—51no—
142#4758—51no—
143#4716—51no—
144#4707—51no—
145C2×Q8×D5—31no—
146C2×#711—31no—
147C2×C5×SD16C2×D311yescharacteristic
148C4×C5×Q8—31no—
149C4×C5×D4—31no—
150Q8×Dic5C2×D311yescharacteristic
151C2×#689—31no—
152D4×Dic5C2×D311yescharacteristic
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—31no—
172C4×Dic10—61no—
173C5×#106—31no—
174C5×#103—31no—
175C5×#102—31no—
176C4×C5×C8—31no—
177#3967C2×D311yescharacteristic
178#3964C2×D311yescharacteristic
179#3950C2×D311yescharacteristic
180#3948—31no—
181#3948—31no—
182#3947—31no—
183#3947C2×D311yescharacteristic
184#3942—31no—
185#3942—31no—
186#3940—31no—
187#3939—31no—
188C4×#168—31no—
189C4×#137—151noSylow
190C23×C3×C5—21no—
191C22×D15C2×D411yescharacteristic
192C3×C5×Q8—21no—
193C3×C5×Q8C22×C412yes—
194C3×C5×D4—21no—
195C3×C5×D4C22×C412yes—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5C2411yescharacteristic
198#1220—24no—
199C2×Dic15—21no—
200C2×Dic15—21no—
201C2×Dic15—24no—
202C2×Dic15C2×D411yescharacteristic
203C4×D15—24no—
204C4×D15C22×C412yes—
205C4×D15#4112yes—
206Dic30—21no—
207Dic30—21no—
208Dic30—24no—
209Dic30C22×C412yes—
210Dic30C22×C412yes—
211C2×C5×Dic3—21no—
212C2×C5×Dic3—21no—
213C2×C5×Dic3—42no—
214C2×C5×Dic3C2×D411yescharacteristic
215C2×C5×Dic3C2×D411yescharacteristic
216C2×C3×Dic5—21no—
217C2×C3×Dic5—21no—
218C2×C3×Dic5—42no—
219C2×C3×Dic5C2×D411yescharacteristic
220C2×C3×Dic5C2×D411yescharacteristic
221#1200—22no—
222#1200—41no—
223#1200—42no—
224C3×C5×C8C22×C412yes—
225C3⋊#168C22×C412yes—
226C3×#168—21no—
227C5×C3⋊C8—21no—
228C2×D3×Q8—51no—
229C2×#237—51no—
230C2×C3×SD16C2×D511yescharacteristic
231C3×C4×Q8—51no—
232C3×C4×D4—51no—
233Q8×Dic3C2×D511yescharacteristic
234C2×#216—51no—
235D4×Dic3C2×D511yescharacteristic
236C2×#214—51no—
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—51no—
255C4×Dic6—101no—
256C3×#107—51no—
257C3×#103—51no—
258C3×#102—51no—
259C3×#97—51no—
260#835C2×D511yescharacteristic
261#832C2×D511yescharacteristic
262#817C2×D511yescharacteristic
263#816—51no—
264#816—51no—
265C8×Dic3—51no—
266C8×Dic3C2×D511yescharacteristic
267#810—51no—
268#810—51no—
269#808—51no—
270#807—51no—
271#803—51no—
272C2×C5×Q8C22×D311yescharacteristic
273C2×C5×D4C22×D311yescharacteristic
274C22×C4×C5—61no—
275C2×C22⋊D5—61no—
276C22×Dic5—21no—
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—31no—
289C2×Dic10—61no—
290C5×SD16C4×D314yescomplemented
291C2×C5×C8—31no—
292C2×C5×C8C22×D311yescharacteristic
293C5×C4⋊C4—31no—
294C5×C4⋊C4—31no—
295C5×C4⋊C4—61no—
296C5×C22⋊C4—61no—
297C42×C5—31no—
298C42×C5—61no—
299C22⋊Dic5—21no—
300#689—34no—
301#687—34no—
302#685—61no—
303C4⋊Dic5—21no—
304C4⋊Dic5C22×D311yescharacteristic
305C4⋊Dic5C22×D311yescharacteristic
306#683—61no—
307#683—61no—
308#683—61no—
309#683—61no—
310#683—61no—
311C4×Dic5—21no—
312C4×Dic5—31no—
313C4×Dic5—31no—
314C4×Dic5—61no—
315C4×Dic5—61no—
316C4×Dic5—61no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5C22×D311yescharacteristic
320C2×#168—31no—
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—51no—
331#440—151no—
332C4×Q16—151no—
333C4×Q16—151no—
334C4×SD16—31no—
335C4×SD16—151no—
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—22no—
348C3×C4×C5C23×C411yescharacteristic
349C3×C4×C5C2×#4111yescharacteristic
350Dic15—22no—
351Dic15—22no—
352Dic15C4×D412yes—
353C3×Dic5—21no—
354C3×Dic5—21no—
355C3×Dic5—41no—
356C3×Dic5—41no—
357C5×Dic3—21no—
358C5×Dic3—41no—
359C5×Dic3—41no—
360C5×Dic3#13712yescomplemented
361C2×C3×Q8C22×D511yescharacteristic
362C2×C3×D4C22×D511yescharacteristic
363C22×C3×C4—101no—
364C2×#67—101no—
365C22×Dic3—21no—
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—51no—
378C2×Dic6—101no—
379C3×SD16C4×D514yescomplemented
380C2×C3×C8—51no—
381C2×C3×C8C22×D511yescharacteristic
382C3×C4⋊C4—51no—
383C3×C4⋊C4—51no—
384C3×C4⋊C4—101no—
385C3×C22⋊C4—101no—
386C3×C42—51no—
387C3×C42—101no—
388#217—21no—
389#216—54no—
390#214—54no—
391(C2×D3)⋊C4—101no—
392C4⋊Dic3—21no—
393C4⋊Dic3C22×D511yescharacteristic
394C4⋊Dic3C22×D511yescharacteristic
395Dic3⋊C4—101no—
396Dic3⋊C4—101no—
397Dic3⋊C4—101no—
398Dic3⋊C4—101no—
399Dic3⋊C4—101no—
400C4×Dic3—21no—
401C4×Dic3—51no—
402C4×Dic3—51no—
403C4×Dic3—101no—
404C4×Dic3—101no—
405C4×Dic3—101no—
406C4×Dic3—101no—
407C4×Dic3—101no—
408C4×Dic3C22×D511yescharacteristic
409C2×C3⋊C8—51no—
410C2×C3⋊C8C22×D511yescharacteristic
411Dic12—54no—
412ΓL(1,𝔽25)—54no—
413ΓL(1,𝔽25)—102no—
414C23×C5—21no—
415C22×D5—31no—
416C5×Q8—21no—
417C5×Q8C2×C4×D312yes—
418C5×D4—21no—
419C5×D4C2×C4×D312yes—
420C2×C4×C5—21no—
421C2×C4×C5—31no—
422C2×C4×C5—31no—
423C2×C4×C5—61no—
424C2×C4×C5—61no—
425C2×C4×C5—122no—
426C2×C4×C5C23×D311yescharacteristic
427C22⋊D5—64no—
428C2×Dic5—21no—
429C2×Dic5—21no—
430C2×Dic5—31no—
431C2×Dic5—42no—
432C2×Dic5—64no—
433C2×Dic5—61no—
434C2×Dic5—61no—
435C2×Dic5D3×D411yescharacteristic
436C2×Dic5D3×D411yescharacteristic
437C4×D5—32no—
438C4×D5—32no—
439C4×D5—62no—
440C4×D5—64no—
441C4×D5—121no—
442C4×D5—122no—
443Dic10—32no—
444Dic10—32no—
445Dic10—64no—
446Dic10—61no—
447Dic10—61no—
448C5×C8—61no—
449C5×C8C2×C4×D312yes—
450#168—21no—
451#168—32no—
452C2×#41—151no—
453C22×Q8—151no—
454#137—158no—
455C2×Q16—151no—
456C2×Q16—151no—
457C2×SD16—151no—
458C2×SD16D3×D511yescharacteristic
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—31no—
470C4×D4—51no—
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—151no—
487#103—151no—
488#103—151no—
489#103—151no—
490#102—31no—
491#102—51no—
492#97—51no—
493#97—151no—
494C4×C8—31no—
495C4×C8—151no—
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—21no—
504C3×Q8C2×C4×D512yes—
505C3×D4—21no—
506C3×D4C2×C4×D512yes—
507C2×C3×C4—21no—
508C2×C3×C4—51no—
509C2×C3×C4—51no—
510C2×C3×C4—101no—
511C2×C3×C4—101no—
512C2×C3×C4—202no—
513C2×C3×C4C23×D511yescharacteristic
514#67—104no—
515C2×Dic3—21no—
516C2×Dic3—21no—
517C2×Dic3—42no—
518C2×Dic3—51no—
519C2×Dic3—104no—
520C2×Dic3—101no—
521C2×Dic3—101no—
522C2×Dic3D4×D511yescharacteristic
523C2×Dic3D4×D511yescharacteristic
524C4×D3—52no—
525C4×D3—52no—
526C4×D3—104no—
527C4×D3—102no—
528C4×D3—201no—
529C4×D3—202no—
530Dic6—52no—
531Dic6—52no—
532Dic6—104no—
533Dic6—101no—
534Dic6—101no—
535C3×C8—101no—
536C3×C8C2×C4×D512yes—
537C3⋊C8—21no—
538C3⋊C8—52no—
539C22×C5—22no—
540C22×C5—41no—
541C22×C5—41no—
542C22×C5C2×D3×D411yescharacteristic
543C2×D5—32no—
544C2×D5—61no—
545C2×D5—61no—
546C4×C5—22no—
547C4×C5—32no—
548C4×C5—61no—
549C4×C5—121no—
550C4×C5—121no—
551C4×C5C22×C4×D311yescharacteristic
552C4×C5D3×#4111yescharacteristic
553Dic5—21no—
554Dic5—21no—
555Dic5—32no—
556Dic5—41no—
557Dic5—41no—
558Dic5—62no—
559Dic5—62no—
560#41—154no—
561#41—302no—
562C2×Q8—154no—
563C2×Q8—151no—
564C2×Q8—151no—
565C2×Q8—301no—
566C2×Q8—302no—
567C2×Q8C2×D3×D511yescharacteristic
568C2×D4—301no—
569C2×D4C2×D3×D511yescharacteristic
570C22×C4—61no—
571C22×C4—101no—
572C22×C4—151no—
573C22×C4—151no—
574C22×C4—151no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4—301no—
578Q16—154no—
579Q16—154no—
580SD16—154no—
581SD16#120014yescomplemented
582M16—154no—
583M16—302no—
584C2×C8—31no—
585C2×C8—51no—
586C2×C8—151no—
587C2×C8C2×D3×D511yescharacteristic
588C4⋊C4—31no—
589C4⋊C4—31no—
590C4⋊C4—51no—
591C4⋊C4—51no—
592C4⋊C4—61no—
593C4⋊C4—101no—
594C4⋊C4—301no—
595C4⋊C4—301no—
596C4⋊C4—301no—
597C4⋊C4—301no—
598C4⋊C4—301no—
599C22⋊C4—61no—
600C22⋊C4—101no—
601C22⋊C4—301no—
602C42—31no—
603C42—51no—
604C42—61no—
605C42—101no—
606C42—151no—
607C42—151no—
608C42—301no—
609C42—301no—
610C42—301no—
611C42—301no—
612C42—301no—
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—22no—
622C3×C4—101no—
623C3×C4—101no—
624C3×C4—201no—
625C3×C4—201no—
626C3×C4C22×C4×D511yescharacteristic
627C3×C4D5×#4111yescharacteristic
628Dic3—21no—
629Dic3—41no—
630Dic3—41no—
631Dic3—52no—
632Dic3—102no—
633Dic3—102no—
634Dic3#406112yescomplemented
635C2×C5—42no—
636C2×C5C4×D3×D411yescharacteristic
637C2×C5#577311yescharacteristic
638C2×C5D3×#13711yescharacteristic
639D5—62no—
640C23—21no—
641C23—151no—
642Q8—21no—
643Q8—152no—
644Q8—152no—
645Q8—304no—
646Q8—301no—
647Q8—301no—
648Q8C2×#120012yes—
649D4—21no—
650D4—304no—
651D4C2×#120012yes—
652C2×C4—21no—
653C2×C4—31no—
654C2×C4—31no—
655C2×C4—51no—
656C2×C4—51no—
657C2×C4—61no—
658C2×C4—61no—
659C2×C4—101no—
660C2×C4—101no—
661C2×C4—122no—
662C2×C4—151no—
663C2×C4—152no—
664C2×C4—152no—
665C2×C4—202no—
666C2×C4—304no—
667C2×C4—302no—
668C2×C4—304no—
669C2×C4—301no—
670C2×C4—301no—
671C2×C4—601no—
672C2×C4—602no—
673C2×C4C22×D3×D511yescharacteristic
674C8—61no—
675C8—101no—
676C8—152no—
677C8C2×#120012yes—
678C2×C3—42no—
679C2×C3C4×D4×D511yescharacteristic
680C2×C3C2×#406111yescharacteristic
681C2×C3#6610211yescharacteristic
682D3—102no—
683C5#7977411yescharacteristic, complemented, Sylow
684C22—22no—
685C22—41no—
686C22—41no—
687C22—152no—
688C22—301no—
689C22—301no—
690C22D3×D4×D511yescharacteristic
691C4—22no—
692C4—32no—
693C4—61no—
694C4—101no—
695C4—101no—
696C4—121no—
697C4—121no—
698C4—152no—
699C4—201no—
700C4—201no—
701C4—302no—
702C4—302no—
703C4#9202411yescharacteristic
704C4C22×#120011yescharacteristic
705C3C4×#406111yescharacteristic, complemented, Sylow
706C2—42no—
707C2—302no—
708C2D3×#406111yescharacteristic
709C2#1175407311yescharacteristic
710C2D4×#120011yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×SD16C22
socleC22×C3×C5C22×D4
prime radicalC2×#6819C22
cosocleC2×C3×C4×C5C24
hypercenterC2×SD16D3×D5
hypocenterC3×C5C4×#137
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×SD16

Complements

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

NH ≅ G/Ntype
2. Q8×#1200C2semidirect
4. C5×Dic3×SD16C2semidirect
5. C3×#65453C2semidirect
6. #11749257C2semidirect
7. #11749250C2semidirect
8. #11749218C2semidirect
9. #11749011C2semidirect
10. #11749004C2semidirect
12. #11747873C2semidirect
13. #11747854C2semidirect
14. #11747640C2semidirect
15. #11747599C2semidirect
22. #91804C4semidirect
66. #65453D3semidirect
82. Q8×D15C2×C4semidirect
95. C3×C5×SD16C2×C4semidirect
97. #6718C2×C4semidirect
98. #6716C2×C4semidirect
100. Dic60C2×C4semidirect
101. #6705C2×C4semidirect
134. Dic3×SD16D5semidirect
290. C5×SD16C4×D3semidirect
360. C5×Dic3#137semidirect
379. C3×SD16C4×D5semidirect
581. SD16#1200semidirect
613. C3×C5C4×#137semidirect
634. Dic3#4061semidirect
683. C5#79774semidirect
705. C3C4×#4061semidirect

Maximal subgroups

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

subgroupindex
C2×#918042
Q8×#12002
#117548532
C5×Dic3×SD162
C3×#654532
#117492572
#117492502
#117492182
#117490112
#117490042
#117489592
#117478732
#117478542
#117476402
#117475992
C4×#40613
#797745