Finite Group Databasebeta

← #14417751

Subgroups — #14417751

Order 1920.

968 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×C3×#4062C211yesmaximal, characteristic
2#11755217C211yesmaximal, characteristic, complemented
3#11754923C211yesmaximal, characteristic, complemented
4SD16×Dic15C211yesmaximal, characteristic, complemented
5C5×Dic3×SD16C211yesmaximal, characteristic, complemented
6#11749264C211yesmaximal, characteristic, complemented
7#11749256C211yesmaximal, characteristic, complemented
8#11749198C211yesmaximal, characteristic, complemented
9#11748995C211yesmaximal, characteristic, complemented
10#11748988C211yesmaximal, characteristic, complemented
11#11748951C211yesmaximal, characteristic, complemented
12#11747806C211yesmaximal, characteristic, complemented
13Dic3×#677C211yesmaximal, characteristic, complemented
14#11747645C211yesmaximal, characteristic, complemented
15D5×#817C211yesmaximal, characteristic, complemented
16#10611381—31nomaximal, Hall
17C2×C3×#713C2211yescharacteristic
18C2×C3×#711C2211yescharacteristic
19C2×C3×C5×SD16C2211yescharacteristic
20Q8×Dic15C2211yescharacteristic
21D4×Dic15C2211yescharacteristic
22C5×Q8×Dic3C2211yescharacteristic
23C5×D4×Dic3C2211yescharacteristic
24C2×C3×#689C2211yescharacteristic
25C2×C3×#686C2211yescharacteristic
26C3×#4062C418yescomplemented
27C2×C3×#677C2211yescharacteristic
28C2×C3×C8×D5C2211yescharacteristic
29#91559—21no—
30Dic3×C22⋊D5—21no—
31C2×#6668—21no—
32#91528—21no—
33#91434—21no—
34#91434C2211yescharacteristic
35Dic3×D20—21no—
36Dic3×D20C2211yescharacteristic
37D5×C4⋊Dic3—21no—
38D5×C4⋊Dic3C2211yescharacteristic
39D5×C4⋊Dic3C2211yescharacteristic
40#91357—21no—
41#91357C2211yescharacteristic
42#91331C2211yescharacteristic
43Dic3×Dic10C2211yescharacteristic
44C2×#6649C2211yescharacteristic
45#91119C2211yescharacteristic
46#91116C2211yescharacteristic
47#91101C2211yescharacteristic
48C8×Dic15C2211yescharacteristic
49C5×#835C2211yescharacteristic
50C5×#832C2211yescharacteristic
51C5×#817C2211yescharacteristic
52C5×C8×Dic3C2211yescharacteristic
53#90985C2211yescharacteristic
54#90985C2211yescharacteristic
55#90971C2211yescharacteristic
56#90970C2211yescharacteristic
57#90965C2211yescharacteristic
58#90964C2211yescharacteristic
59#90954C2211yescharacteristic
60#90953C2211yescharacteristic
61#83899—51nomaximal, Hall
62C2×#4062D311yescharacteristic
63#65908—31no—
64#65880—31no—
65C4×C5×SD16—31no—
66SD16×Dic5—31no—
67#65319—31no—
68#65303—31no—
69D5×#106—31no—
70#65141—31no—
71#65092—31no—
72#65078—31no—
73#65074—31no—
74#65060—31no—
75C4×#677—31no—
76#64978—31no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×C3×C5×D4C2311yescharacteristic
79C22×Dic15—21no—
80C22×C5×Dic3—21no—
81C2×C3×C22⋊D5—21no—
82C22×C3×Dic5—21no—
83C3×#713—22no—
84C3×#713C2×C414yescomplemented
85C3×#711—22no—
86C3×#711C2×C414yescomplemented
87C2×C3×D20—21no—
88C2×C3×D20C2311yescharacteristic
89C2×C3×C4×D5—21no—
90C2×C3×C4×D5C2311yescharacteristic
91C2×C3×Dic10C2311yescharacteristic
92C2×D5×Dic3—21no—
93C2×D5×Dic3—21no—
94C2×D5×Dic3—21no—
95C2×D5×Dic3—21no—
96C3×C5×SD16C2×C414yescomplemented
97C2×C3×C5×C8C2311yescharacteristic
98#6719—21no—
99C4⋊Dic15—21no—
100C4⋊Dic15C2311yescharacteristic
101C4⋊Dic15C2311yescharacteristic
102C4×Dic15—21no—
103C4×Dic15C2311yescharacteristic
104C2×C3⋊#168C2311yescharacteristic
105C5×#217—21no—
106C5×C4⋊Dic3—21no—
107C5×C4⋊Dic3C2311yescharacteristic
108C5×C4⋊Dic3C2311yescharacteristic
109C4×C5×Dic3—21no—
110C4×C5×Dic3C2311yescharacteristic
111C2×C5×C3⋊C8C2311yescharacteristic
112C3×#689C2×C414yescomplemented
113C3×#686C2×C414yescomplemented
114C2×C3×#168C2311yescharacteristic
115C3×#677C2×C414yescomplemented
116C3×C8×D5C2×C414yescomplemented
117#6668—21no—
118#6668—21no—
119#6668—21no—
120#6668—21no—
121#6668D411yescharacteristic
122#6668D411yescharacteristic
123#6665—21no—
124#6665—21no—
125#6665D411yescharacteristic
126#6665D411yescharacteristic
127Dic3×Dic5—21no—
128Dic3×Dic5—21no—
129#6649—22no—
130C2×C3×#135—51no—
131#5827—51no—
132#5827—51no—
133#5232—51no—
134#5232—51no—
135#5184—51no—
136#5184—51no—
137Dic3×SD16—51no—
138Dic3×SD16—51no—
139Dic3×SD16—51no—
140Dic3×SD16D511yescharacteristic, complemented
141#5152—51no—
142#5152—51no—
143C2×#817—51no—
144#5101—51no—
145C2×#713C2×D311yescharacteristic
146C2×#711C2×D311yescharacteristic
147C2×C5×SD16C2×D311yescharacteristic
148C4×C5×Q8—31no—
149C4×C5×D4—31no—
150Q8×Dic5—31no—
151C2×#689C2×D311yescharacteristic
152D4×Dic5—31no—
153C2×#686C2×D311yescharacteristic
154C4×C22⋊D5—61no—
155C2×#683—61no—
156#4062Dic318yescomplemented
157C2×#677C2×D311yescharacteristic
158C2×#676—31no—
159C2×C8×D5C2×D311yescharacteristic
160#4039—31no—
161#4039—61no—
162D5×C4⋊C4—31no—
163D5×C4⋊C4—31no—
164D5×C4⋊C4—61no—
165#4033—31no—
166#4027—61no—
167#4023—61no—
168C4×D20—31no—
169C4×D20—61no—
170#4018—31no—
171#4018—61no—
172C4×Dic10—31no—
173C5×#106—31no—
174C5×#103—31no—
175C5×#102—31no—
176C4×C5×C8—31no—
177#3967—31no—
178#3964—31no—
179#3953—31no—
180#3949—31no—
181#3948—31no—
182#3947—31no—
183C8×Dic5—31no—
184#3942—31no—
185#3941—31no—
186#3940—31no—
187#3940—31no—
188#3935—31no—
189#2952—151noSylow
190C23×C3×C5—21no—
191C22×C3×D5—21no—
192C22×C3×D5C2×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×C5C2411yescharacteristic
199C2×Dic15—21no—
200C2×Dic15—21no—
201C2×Dic15—81no—
202C2×Dic15C2×D411yescharacteristic
203C2×Dic15C2×D411yescharacteristic
204C2×C5×Dic3—21no—
205C2×C5×Dic3—21no—
206C2×C5×Dic3—81no—
207C2×C5×Dic3C2×D411yescharacteristic
208C2×C5×Dic3C2×D411yescharacteristic
209C3×C22⋊D5—24no—
210C2×C3×Dic5—21no—
211C2×C3×Dic5—24no—
212C2×C3×Dic5C2×D411yescharacteristic
213C3×D20—24no—
214C3×D20—21no—
215C3×D20C22×C412yes—
216C3×C4×D5—24no—
217C3×C4×D5C22×C412yes—
218C3×C4×D5#4112yes—
219C3×Dic10—21no—
220C3×Dic10C22×C412yes—
221D5×Dic3—81no—
222D5×Dic3—81no—
223D5×Dic3—81no—
224D5×Dic3—81no—
225C3×C5×C8C22×C412yes—
226C3⋊#168—21no—
227C3×#168C22×C412yes—
228C5×C3⋊C8—21no—
229C2×C3×#41—51no—
230C2×C3×#41—51no—
231C3×#135—58no—
232C2×C3×Q16—51no—
233C2×C3×SD16—51no—
234C2×C3×SD16C2×D511yescharacteristic
235C2×C3×D8—51no—
236C22×C3×C8—51no—
237Q8×Dic3—51no—
238Q8×Dic3—51no—
239Q8×Dic3—51no—
240Q8×Dic3C2×D511yescharacteristic
241D4×Dic3—51no—
242D4×Dic3—51no—
243D4×Dic3—51no—
244D4×Dic3—101no—
245D4×Dic3—101no—
246D4×Dic3—101no—
247D4×Dic3—101no—
248D4×Dic3C2×D511yescharacteristic
249#926—51no—
250#926—101no—
251#926—101no—
252C2×C4⋊Dic3—51no—
253C2×C4⋊Dic3—51no—
254C2×C4⋊Dic3—101no—
255C2×C4⋊Dic3—101no—
256C2×#208—51no—
257#835—51no—
258#835—51no—
259#835—51no—
260#835C2×D511yescharacteristic
261#832—51no—
262#832—51no—
263#832—51no—
264#832C2×D511yescharacteristic
265#817—51no—
266#817—51no—
267#817—51no—
268#817C2×D511yescharacteristic
269#815—51no—
270#815—51no—
271C8×Dic3—51no—
272C8×Dic3C2×D511yescharacteristic
273C2×C5×Q8C22×D311yescharacteristic
274C2×C5×D4C22×D311yescharacteristic
275C22×C4×C5—61no—
276C2×C22⋊D5—21no—
277C22×Dic5—21no—
278C22×Dic5—61no—
279#713—22no—
280#713C2×Dic314yescomplemented
281#711—22no—
282#711C2×Dic314yescomplemented
283C2×D20—21no—
284C2×D20C22×D311yescharacteristic
285C2×C4×D5—21no—
286C2×C4×D5—61no—
287C2×C4×D5—61no—
288C2×C4×D5—61no—
289C2×C4×D5—61no—
290C2×C4×D5C22×D311yescharacteristic
291C2×Dic10C22×D311yescharacteristic
292C5×SD16C2×Dic314yescomplemented
293C2×C5×C8—31no—
294C2×C5×C8C22×D311yescharacteristic
295C5×C4⋊C4—31no—
296C5×C4⋊C4—31no—
297C5×C4⋊C4—61no—
298C5×C22⋊C4—61no—
299C42×C5—31no—
300C42×C5—61no—
301C22⋊Dic5—61no—
302#689C2×Dic314yescomplemented
303#686C2×Dic314yescomplemented
304#685—31no—
305#685—31no—
306#685—61no—
307#685—61no—
308C4⋊Dic5—31no—
309C4⋊Dic5—31no—
310C4⋊Dic5—61no—
311#683—31no—
312#683—31no—
313#683—61no—
314#683—61no—
315#683—61no—
316#683—61no—
317C4×Dic5—31no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5—61no—
321C2×#168—31no—
322C2×#168C22×D311yescharacteristic
323#677C2×Dic314yescomplemented
324#676—62no—
325C8×D5C2×Dic314yescomplemented
326C2×#135—51no—
327#520—151no—
328#520—151no—
329#442—151no—
330#442—151no—
331#441—151no—
332#441—151no—
333C4×SD16—31no—
334C4×SD16—151no—
335C4×SD16—151no—
336C4×SD16—151no—
337C2×#106—151no—
338#417—151no—
339#417—151no—
340#405—151no—
341C22×C3×C5—22no—
342C22×C3×C5—41no—
343C22×C3×C5—41no—
344C22×C3×C5C22×D411yescharacteristic
345C2×C3×D5—21no—
346C2×C3×D5—21no—
347C2×C3×D5—22no—
348C2×C3×D5—41no—
349C2×C3×D5—41no—
350C2×C3×D5C4×D412yes—
351C3×C4×C5—22no—
352C3×C4×C5C23×C411yescharacteristic
353C3×C4×C5C2×#4111yescharacteristic
354Dic15—21no—
355Dic15—21no—
356Dic15—41no—
357Dic15—41no—
358C3×Dic5—22no—
359C3×Dic5C4×D412yes—
360C5×Dic3—21no—
361C5×Dic3—21no—
362C5×Dic3—41no—
363C5×Dic3—41no—
364C3×#41—54no—
365C3×#41—54no—
366C3×#41—102no—
367C3×#41—102no—
368C2×C3×Q8—51no—
369C2×C3×Q8C22×D511yescharacteristic
370C2×C3×D4—51no—
371C2×C3×D4—101no—
372C2×C3×D4—101no—
373C2×C3×D4C22×D511yescharacteristic
374C22×C3×C4—51no—
375C22×C3×C4—101no—
376C22×C3×C4—101no—
377C22×Dic3—21no—
378C22×Dic3—101no—
379C22×Dic3—101no—
380C22×Dic3—101no—
381C22×Dic3—101no—
382C22×Dic3—101no—
383C3×Q16—54no—
384C3×SD16—54no—
385C3×SD16C4×D514yescomplemented
386C3×D8—54no—
387C2×C3×C8—51no—
388C2×C3×C8—54no—
389C2×C3×C8C22×D511yescharacteristic
390#217—21no—
391#217—51no—
392#217—51no—
393#217—101no—
394#217—101no—
395#217—101no—
396C4⋊Dic3—21no—
397C4⋊Dic3—51no—
398C4⋊Dic3—51no—
399C4⋊Dic3—51no—
400C4⋊Dic3—51no—
401C4⋊Dic3—101no—
402C4⋊Dic3—101no—
403C4⋊Dic3—101no—
404C4⋊Dic3—101no—
405C4⋊Dic3—101no—
406C4⋊Dic3C22×D511yescharacteristic
407C4⋊Dic3C22×D511yescharacteristic
408C4×Dic3—21no—
409C4×Dic3—51no—
410C4×Dic3—101no—
411C4×Dic3—101no—
412C4×Dic3—101no—
413C4×Dic3C22×D511yescharacteristic
414#208—102no—
415C2×C3⋊C8—51no—
416C2×C3⋊C8C22×D511yescharacteristic
417C23×C5—21no—
418C22×D5—21no—
419C22×D5D3×D411yescharacteristic
420C5×Q8—21no—
421C5×Q8C22×Dic312yes—
422C5×D4—21no—
423C5×D4C22×Dic312yes—
424C2×C4×C5—21no—
425C2×C4×C5—31no—
426C2×C4×C5—31no—
427C2×C4×C5—61no—
428C2×C4×C5—61no—
429C2×C4×C5—241no—
430C2×C4×C5C23×D311yescharacteristic
431C22⋊D5—24no—
432C2×Dic5—21no—
433C2×Dic5—24no—
434C2×Dic5—31no—
435C2×Dic5—31no—
436C2×Dic5—61no—
437C2×Dic5—61no—
438C2×Dic5—241no—
439C2×Dic5D3×D411yescharacteristic
440D20—24no—
441D20—21no—
442D20C22×Dic312yes—
443C4×D5—24no—
444C4×D5—241no—
445C4×D5—241no—
446C4×D5—241no—
447C4×D5—241no—
448C4×D5#23712yes—
449C4×D5C22×Dic312yes—
450Dic10—21no—
451Dic10C22×Dic312yes—
452C5×C8—61no—
453C5×C8C22×Dic312yes—
454#168—61no—
455#168C22×Dic312yes—
456C2×#41—51no—
457C2×#41—51no—
458#135—58no—
459C2×Q16—51no—
460C2×SD16—51no—
461C2×SD16D3×D511yescharacteristic
462C2×D8—51no—
463C2×M16—151no—
464C22×C8—51no—
465C4×Q8—31no—
466C4×Q8—151no—
467C4×Q8—151no—
468C4×Q8—151no—
469C4×D4—31no—
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—301no—
479#117—301no—
480C2×C4⋊C4—151no—
481C2×C4⋊C4—151no—
482C2×C4⋊C4—301no—
483C2×C4⋊C4—301no—
484#106—31no—
485#106—151no—
486#106—151no—
487#106—151no—
488#103—31no—
489#103—151no—
490#103—151no—
491#103—151no—
492#102—31no—
493#102—151no—
494#102—151no—
495#102—151no—
496#97—151no—
497#97—151no—
498C4×C8—31no—
499C4×C8—151no—
500C2×C3×C5—42no—
501C2×C3×C5C2×C4×D411yescharacteristic
502C2×C3×C5#57711yescharacteristic
503C2×C3×C5#57711yescharacteristic
504C3×D5—22no—
505C3×D5—42no—
506C23×C3—21no—
507C23×C3—51no—
508C23×C3—101no—
509C3×Q8—21no—
510C3×Q8—52no—
511C3×Q8—101no—
512C3×Q8C2×C4×D512yes—
513C3×D4—21no—
514C3×D4—52no—
515C3×D4—104no—
516C3×D4—104no—
517C3×D4—101no—
518C3×D4C2×C4×D512yes—
519C2×C3×C4—21no—
520C2×C3×C4—51no—
521C2×C3×C4—52no—
522C2×C3×C4—52no—
523C2×C3×C4—104no—
524C2×C3×C4—104no—
525C2×C3×C4—101no—
526C2×C3×C4C23×D511yescharacteristic
527C2×Dic3—21no—
528C2×Dic3—21no—
529C2×Dic3—51no—
530C2×Dic3—51no—
531C2×Dic3—81no—
532C2×Dic3—101no—
533C2×Dic3—101no—
534C2×Dic3—401no—
535C2×Dic3—401no—
536C2×Dic3—401no—
537C2×Dic3—401no—
538C2×Dic3—401no—
539C2×Dic3D4×D511yescharacteristic
540C2×Dic3D4×D511yescharacteristic
541C3×C8—52no—
542C3×C8C2×C4×D512yes—
543C3⋊C8—21no—
544C3⋊C8—101no—
545C22×C5—22no—
546C22×C5—41no—
547C22×C5—41no—
548C22×C5C2×D3×D411yescharacteristic
549C2×D5—21no—
550C2×D5—21no—
551C2×D5—22no—
552C2×D5—41no—
553C2×D5—41no—
554C2×D5D4×Dic312yes—
555C4×C5—22no—
556C4×C5—61no—
557C4×C5—61no—
558C4×C5—121no—
559C4×C5—121no—
560C4×C5C2×#23711yescharacteristic
561C4×C5C23×Dic311yescharacteristic
562Dic5—22no—
563Dic5—61no—
564Dic5—61no—
565Dic5—121no—
566Dic5—121no—
567Dic5D4×Dic312yes—
568#41—54no—
569#41—54no—
570#41—102no—
571#41—102no—
572C2×Q8—51no—
573C2×Q8C2×D3×D511yescharacteristic
574C2×D4—51no—
575C2×D4—101no—
576C2×D4—101no—
577C2×D4C2×D3×D511yescharacteristic
578C22×C4—51no—
579C22×C4—61no—
580C22×C4—101no—
581C22×C4—101no—
582C22×C4—301no—
583C22×C4—301no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587Q16—54no—
588SD16—54no—
589SD16D5×Dic314yescomplemented
590D8—54no—
591M16—302no—
592C2×C8—31no—
593C2×C8—51no—
594C2×C8—54no—
595C2×C8—151no—
596C2×C8C2×D3×D511yescharacteristic
597C4⋊C4—31no—
598C4⋊C4—31no—
599C4⋊C4—61no—
600C4⋊C4—151no—
601C4⋊C4—151no—
602C4⋊C4—151no—
603C4⋊C4—151no—
604C4⋊C4—301no—
605C4⋊C4—301no—
606C4⋊C4—301no—
607C4⋊C4—301no—
608C4⋊C4—301no—
609C22⋊C4—61no—
610C22⋊C4—151no—
611C22⋊C4—151no—
612C22⋊C4—301no—
613C22⋊C4—301no—
614C22⋊C4—301no—
615C42—31no—
616C42—61no—
617C42—151no—
618C42—301no—
619C42—301no—
620C42—301no—
621C3×C5#295211yescharacteristic, complemented, Hall
622C22×C3—22no—
623C22×C3—41no—
624C22×C3—41no—
625C22×C3—52no—
626C22×C3—101no—
627C22×C3—101no—
628C22×C3—102no—
629C22×C3—201no—
630C22×C3—201no—
631C22×C3C2×D4×D511yescharacteristic
632C3×C4—22no—
633C3×C4—52no—
634C3×C4—102no—
635C3×C4C22×C4×D511yescharacteristic
636C3×C4D5×#4111yescharacteristic
637Dic3—21no—
638Dic3—21no—
639Dic3—41no—
640Dic3—41no—
641Dic3—101no—
642Dic3—101no—
643Dic3—201no—
644Dic3—201no—
645C2×C5—42no—
646C2×C5#577011yescharacteristic
647C2×C5#577011yescharacteristic
648C2×C5C2×D4×Dic311yescharacteristic
649D5—22no—
650D5—42no—
651C23—21no—
652C23—51no—
653C23—101no—
654Q8—21no—
655Q8—52no—
656Q8—101no—
657Q8C2×D5×Dic312yes—
658D4—21no—
659D4—52no—
660D4—104no—
661D4—104no—
662D4—101no—
663D4C2×D5×Dic312yes—
664C2×C4—21no—
665C2×C4—31no—
666C2×C4—31no—
667C2×C4—51no—
668C2×C4—52no—
669C2×C4—52no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—104no—
673C2×C4—104no—
674C2×C4—101no—
675C2×C4—151no—
676C2×C4—151no—
677C2×C4—241no—
678C2×C4—301no—
679C2×C4—301no—
680C2×C4—1201no—
681C2×C4—1201no—
682C2×C4—1201no—
683C2×C4—1201no—
684C2×C4—1201no—
685C2×C4C22×D3×D511yescharacteristic
686C8—52no—
687C8—61no—
688C8—301no—
689C8C2×D5×Dic312yes—
690C2×C3—42no—
691C2×C3—102no—
692C2×C3—202no—
693C2×C3C4×D4×D511yescharacteristic
694C2×C3#6609611yescharacteristic
695C2×C3#6610411yescharacteristic
696C5#8389911yescharacteristic, complemented, Sylow
697C22—22no—
698C22—41no—
699C22—41no—
700C22—52no—
701C22—101no—
702C22—101no—
703C22—102no—
704C22—201no—
705C22—201no—
706C22D3×D4×D511yescharacteristic
707C4—22no—
708C4—52no—
709C4—61no—
710C4—61no—
711C4—102no—
712C4—121no—
713C4—121no—
714C4—301no—
715C4—301no—
716C4—601no—
717C4—601no—
718C4D5×#23711yescharacteristic
719C4C22×D5×Dic311yescharacteristic
720C3#1061138111yescharacteristic, complemented, Sylow
721C2—42no—
722C2—102no—
723C2—202no—
724C2#1175409211yescharacteristic
725C2#1175409511yescharacteristic
726C2D4×D5×Dic311yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×SD16C22
socleC22×C3×C5C22×D4
prime radicalC2×C3×#4062C2
cosocleC2×C3×C4×C5C24
hypercenterC2×SD16D3×D5
hypocenterC3×C5#2952
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. #11755217C2semidirect
3. #11754923C2semidirect
4. SD16×Dic15C2semidirect
5. C5×Dic3×SD16C2semidirect
6. #11749264C2semidirect
7. #11749256C2semidirect
8. #11749198C2semidirect
9. #11748995C2semidirect
10. #11748988C2semidirect
11. #11748951C2semidirect
12. #11747806C2semidirect
13. Dic3×#677C2semidirect
14. #11747645C2semidirect
15. D5×#817C2semidirect
26. C3×#4062C4semidirect
84. C3×#713C2×C4semidirect
86. C3×#711C2×C4semidirect
96. C3×C5×SD16C2×C4semidirect
112. C3×#689C2×C4semidirect
113. C3×#686C2×C4semidirect
115. C3×#677C2×C4semidirect
116. C3×C8×D5C2×C4semidirect
140. Dic3×SD16D5semidirect
156. #4062Dic3semidirect
280. #713C2×Dic3semidirect
282. #711C2×Dic3semidirect
292. C5×SD16C2×Dic3semidirect
302. #689C2×Dic3semidirect
303. #686C2×Dic3semidirect
323. #677C2×Dic3semidirect
325. C8×D5C2×Dic3semidirect
385. C3×SD16C4×D5semidirect
589. SD16D5×Dic3semidirect
621. C3×C5#2952semidirect
696. C5#83899semidirect
720. C3#10611381semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#40622
#117552172
#117549232
SD16×Dic152
C5×Dic3×SD162
#117492642
#117492562
#117491982
#117489952
#117489882
#117489512
#117478062
Dic3×#6772
#117476452
D5×#8172
#106113813
#838995