Finite Group Databasebeta

← #11906221

Subgroups — #11906221

Order 1152.

2311 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595941C211yesmaximal, characteristic, complemented
2C2×C3×C4×D12C211yesmaximal, characteristic
3C3×#5470C211yesmaximal, characteristic, complemented
4#10595051C212yesmaximal, complemented
5#10594982C212yesmaximal
6#10594971C214yesmaximal, complemented
7D3×#924C214yesmaximal, complemented
8#10593960C212yesmaximal, complemented
9#10593956C212yesmaximal, complemented
10#10593941C214yesmaximal, complemented
11#10593929C214yesmaximal, complemented
12#10593904C212yesmaximal, complemented
13Dic6×D12C212yesmaximal, complemented
14#86280—31nomaximal
15#85766—31nomaximal
16C22×C3×D12C2211yescharacteristic
17C22×C3×C4×D3C2212yes—
18C2×D3×Dic6C2214yescomplemented
19C2×C32×C42C2211yescharacteristic
20#64135C2212yes—
21#64133C2212yes—
22#64133C2212yes—
23#64079C2212yescomplemented
24#64078C2211yescharacteristic, complemented
25#64078C2211yescharacteristic, complemented
26C4×#634C2212yescomplemented
27C4×#634C2212yescomplemented
28C2×C3×(C2×D3)⋊C4C2212yes—
29C3×#926C2212yes—
30C2×C3×C4⋊Dic3C2211yescharacteristic
31C3×#924C2212yes—
32C3×#924C2212yes—
33C3×C4×D12C2212yes—
34C3×C4×D12C2212yes—
35C3×C4×D12C2212yes—
36C3×C4×D12C2212yes—
37C3×#870C2212yescomplemented
38C3×#869C2211yescharacteristic, complemented
39C3×#869C2211yescharacteristic, complemented
40C3×C4×Dic6C2212yescomplemented
41C3×C4×Dic6C2212yescomplemented
42D3×#217C2218yes—
43#63964C2218yes—
44#63919C2214yescomplemented
45#63918C2214yescomplemented
46#63899C2218yescomplemented
47#63898C2214yes—
48#63898C2214yes—
49#63896C2218yescomplemented
50#63893C2218yescomplemented
51Dic3×D12C2214yes—
52Dic3×D12C2214yes—
53D3×C4⋊Dic3C2214yescomplemented
54#63887C2218yescomplemented
55D3×Dic3⋊C4C2218yescomplemented
56#63872C2214yescomplemented
57#63869C2214yescomplemented
58#63857C2214yescomplemented
59#63856C2214yescomplemented
60#63851C2218yescomplemented
61C3×#533—31no—
62C2×C3×C4×D4—31no—
63#5798—32no—
64C2×#924—34no—
65#5730—32no—
66#5727—32no—
67#5690—34no—
68#5634—34no—
69D3×C22⋊Q8—34no—
70#5579—34no—
71#5579—32no—
72Q8×D12—32no—
73#5543—32no—
74#5543—32no—
75#5539—34no—
76#5539—34no—
77D4×Dic6—32no—
78D4×Dic6—32no—
79#5521—32no—
80#5519—32no—
81#5500—32no—
82#5483—34no—
83C2×C4×D12D311yescharacteristic
84#5470—31no—
85#5470—31no—
86#5470—61no—
87#5470D311yescharacteristic, complemented
88C23×C3×D3C2312yes—
89C22×C32×C4C2311yescharacteristic
90C22×C32×C4C2311yescharacteristic
91C22×C32×C4C2311yescharacteristic
92C2×#634C2312yes—
93C2×#634C2312yes—
94C22×C3×Dic3C2312yes—
95C2×C3×D12Q818yescomplemented
96C2×C3×D12C2312yes—
97C2×C3×D12C2312yes—
98C2×C3×C4×D3—44no—
99C2×C3×C4×D3C2314yes—
100C2×C3×C4×D3C2314yes—
101C2×C3×Dic6C2312yes—
102C2×C3×Dic6C2312yes—
103C2×#627C2318yes—
104C2×D3×Dic3C2318yes—
105C2×D3×Dic3C2318yes—
106D3×Dic6—48no—
107C32×C42C2311yescharacteristic
108C32×C42C2311yescharacteristic
109C32×C42C2311yescharacteristic
110C32×C42C2311yescharacteristic
111#3757C2314yes—
112C4⋊(C3⋊Dic3)C2312yes—
113C4⋊(C3⋊Dic3)C2312yes—
114C4⋊(C3⋊Dic3)C2312yes—
115C4⋊(C3⋊Dic3)C2312yes—
116#3750C2314yes—
117#3750C2314yes—
118C4×C3⋊Dic3C2314yes—
119C3×#217C2314yes—
120C3×(C2×D3)⋊C4C2314yes—
121C3×(C2×D3)⋊C4C2314yes—
122C3×C4⋊Dic3C2312yes—
123C3×C4⋊Dic3C2312yes—
124C3×C4⋊Dic3C2312yes—
125C3×C4⋊Dic3C2312yes—
126C3×C4⋊Dic3C2312yes—
127C3×C4⋊Dic3C2312yes—
128C3×Dic3⋊C4C2314yes—
129C3×Dic3⋊C4C2314yes—
130C3×C4×Dic3C2314yes—
131#3724C2318yes—
132Dic3⋊Dic3C2318yes—
133Dic3⋊Dic3C2318yes—
134(C2×D3)⋊Dic3C2318yes—
135(C2×D3)⋊Dic3C2318yes—
136#3501—91noSylow
137C22×C3×D4—31no—
138C23×C3×C4—32no—
139C2×D3×Q8—34no—
140C22×D12C2×D311yescharacteristic
141C22×C4×D3C2×D312yes—
142C22×Dic6—34no—
143C3×C4⋊Q8—31no—
144C3×C4⋊Q8—31no—
145C3×#125—32no—
146C3×C22⋊Q8—32no—
147C3×C22⋊Q8—32no—
148C3×C4×Q8—32no—
149C3×C4×Q8—32no—
150C3×C4×D4—32no—
151C3×C4×D4—32no—
152C3×C4×D4—32no—
153C3×C4×D4—32no—
154C3×#117—32no—
155C2×C3×C4⋊C4—31no—
156C2×C3×C22⋊C4—32no—
157C2×C3×C42—21no—
158C2×C3×C42C2×D311yescharacteristic
159C2×C3×C42C2×D311yescharacteristic
160C2×#217—38no—
161#946—34no—
162#946—38no—
163D4×Dic3—34no—
164D4×Dic3—34no—
165D4×Dic3—34no—
166D4×Dic3—34no—
167C2×(C2×D3)⋊C4C2×D312yes—
168#926—32no—
169#926—32no—
170#926—62no—
171#926C2×D312yes—
172C2×C4⋊Dic3—34no—
173C2×C4⋊Dic3C2×D311yescharacteristic
174#924—32no—
175#924—32no—
176#924—32no—
177#924—32no—
178#924—34no—
179#924—38no—
180#924—34no—
181#924—38no—
182#924—62no—
183#924—62no—
184#924C2×D312yes—
185#924C2×D312yes—
186C2×Dic3⋊C4—38no—
187#897—34no—
188#897—38no—
189#896—38no—
190#896—38no—
191#896—38no—
192#893—34no—
193#893—34no—
194D3×C4⋊C4—38no—
195D3×C4⋊C4—34no—
196#890—34no—
197#890—34no—
198#890—34no—
199#888—34no—
200#888—34no—
201#888—34no—
202D3×C22⋊C4—38no—
203#878—38no—
204#878—38no—
205#878—38no—
206#878—38no—
207#878—38no—
208C4×D12—34no—
209C4×D12—34no—
210C4×D12C2×D312yes—
211C4×D12C2×D312yes—
212C4×D12C2×D312yes—
213C4×D12C2×D312yes—
214#870—32no—
215#870—32no—
216#870—34no—
217#870—62no—
218#870C2×D312yescomplemented
219#869—31no—
220#869—31no—
221#869—31no—
222#869—31no—
223#869—34no—
224#869—61no—
225#869—61no—
226#869C2×D311yescharacteristic, complemented
227#869C2×D311yescharacteristic, complemented
228C4×Dic6—32no—
229C4×Dic6—32no—
230C4×Dic6—32no—
231C4×Dic6—32no—
232C4×Dic6—62no—
233C4×Dic6—62no—
234C4×Dic6C2×D312yescomplemented
235C4×Dic6C2×D312yescomplemented
236C23×C32C2411yescharacteristic
237C22×C3×D3—42no—
238C22×C3×D3—42no—
239C22×C3×D3C2×Q818yescomplemented
240C22×C3×D3C2414yes—
241C2×C32×C4—22no—
242C2×C32×C4—41no—
243C2×C32×C4C2×Q814yescomplemented
244C2×C32×C4C2411yescharacteristic
245C2×C32×C4C2411yescharacteristic
246C2×C32×C4C2411yescharacteristic
247C2×C32×C4C2411yescharacteristic
248C2×C32×C4C2411yescharacteristic
249C2×C32×C4C2411yescharacteristic
250C2×C3⋊Dic3C2414yes—
251C2×C3⋊Dic3C2414yes—
252#634—24no—
253#634—42no—
254C2×C3×Dic3—42no—
255C2×C3×Dic3C2414yes—
256C2×C3×Dic3C2414yes—
257C2×C3×Dic3C2414yes—
258C3×D12C2×Q818yescomplemented
259C3×D12C2×Q818yescomplemented
260C3×C4×D3—28no—
261C3×C4×D3—44no—
262C3×Dic6—24no—
263C3×Dic6—42no—
264#627—48no—
265D3×Dic3—48no—
266D3×Dic3—48no—
267#554—94no—
268#554—92no—
269#554—94no—
270#554—92no—
271D4×Q8—92no—
272D4×Q8—92no—
273#544—92no—
274#543—94no—
275#533—31no—
276#533—91no—
277C2×C22⋊Q8—94no—
278#518—92no—
279C2×C4×D4—31no—
280C24×C3—32no—
281C23×D3C22×D312yes—
282C2×C3×Q8—32no—
283C2×C3×Q8—32no—
284C2×C3×D4—38no—
285C2×C3×D4—32no—
286C2×C3×D4—32no—
287C22×C3×C4—21no—
288C22×C3×C4—21no—
289C22×C3×C4—21no—
290C22×C3×C4—32no—
291C22×C3×C4—34no—
292C22×C3×C4—34no—
293C22×C3×C4—124no—
294C22×C3×C4C22×D311yescharacteristic
295C22×C3×C4C22×D311yescharacteristic
296C22×C3×C4C22×D311yescharacteristic
297C22×C3×C4C22×D311yescharacteristic
298C22×C3×C4C22×D311yescharacteristic
299C22×C3×C4C22×D311yescharacteristic
300C22×Dic3—38no—
301C22×Dic3—38no—
302C22×Dic3C22×D312yes—
303D3×Q8—128no—
304C2×D12Dic618yescomplemented
305C2×D12C22×D312yes—
306C2×D12C22×D312yes—
307C2×C4×D3—38no—
308C2×C4×D3—38no—
309C2×C4×D3—44no—
310C2×C4×D3C22×D314yes—
311C2×C4×D3C22×D314yes—
312C2×Dic6—32no—
313C2×Dic6—32no—
314C2×Dic6—32no—
315C2×Dic6—32no—
316C2×Dic6—38no—
317C2×Dic6—38no—
318C2×Dic6—62no—
319C2×Dic6—62no—
320C2×Dic6—128no—
321C2×Dic6C22×D312yes—
322C2×Dic6C22×D312yes—
323C3×C4⋊C4—32no—
324C3×C4⋊C4—32no—
325C3×C4⋊C4—32no—
326C3×C4⋊C4—32no—
327C3×C4⋊C4—34no—
328C3×C4⋊C4—32no—
329C3×C4⋊C4—32no—
330C3×C4⋊C4—34no—
331C3×C22⋊C4—34no—
332C3×C22⋊C4—34no—
333C3×C22⋊C4—34no—
334C3×C42—21no—
335C3×C42—21no—
336C3×C42—21no—
337C3×C42—21no—
338C3×C42—34no—
339C3×C42C22×D311yescharacteristic
340C3×C42C22×D311yescharacteristic
341C3×C42C22×D311yescharacteristic
342C3×C42C22×D311yescharacteristic
343C3×C42C22×D311yescharacteristic
344C3×C42C22×D311yescharacteristic
345C3×C42C22×D311yescharacteristic
346C3×C42C22×D311yescharacteristic
347#217—34no—
348#217—34no—
349#217—38no—
350#217—38no—
351#217—64no—
352#217C22×D314yes—
353(C2×D3)⋊C4—38no—
354(C2×D3)⋊C4—38no—
355(C2×D3)⋊C4C22×D314yes—
356(C2×D3)⋊C4C22×D314yes—
357C4⋊Dic3—32no—
358C4⋊Dic3—32no—
359C4⋊Dic3—32no—
360C4⋊Dic3—32no—
361C4⋊Dic3—32no—
362C4⋊Dic3—32no—
363C4⋊Dic3—32no—
364C4⋊Dic3—32no—
365C4⋊Dic3—38no—
366C4⋊Dic3—38no—
367C4⋊Dic3—62no—
368C4⋊Dic3—62no—
369C4⋊Dic3—62no—
370C4⋊Dic3—62no—
371C4⋊Dic3C22×D312yes—
372C4⋊Dic3C22×D312yes—
373C4⋊Dic3C22×D312yes—
374C4⋊Dic3C22×D312yes—
375C4⋊Dic3C22×D312yes—
376C4⋊Dic3C22×D312yes—
377Dic3⋊C4—34no—
378Dic3⋊C4—34no—
379Dic3⋊C4—34no—
380Dic3⋊C4—34no—
381Dic3⋊C4—38no—
382Dic3⋊C4—38no—
383Dic3⋊C4—38no—
384Dic3⋊C4—38no—
385Dic3⋊C4—64no—
386Dic3⋊C4—64no—
387Dic3⋊C4C22×D314yes—
388Dic3⋊C4C22×D314yes—
389C4×Dic3—34no—
390C4×Dic3—34no—
391C4×Dic3—64no—
392C4×Dic3C22×D314yes—
393C22×C32—21no—
394C22×C32—21no—
395C22×C32C22×Q812yes—
396C22×C32C2511yescharacteristic
397C2×C3×D3—24no—
398C2×C3×D3—24no—
399C2×C3×D3—48no—
400C2×C3×D3C22×Q818yes—
401C32×C4—21no—
402C32×C4—21no—
403C32×C4—21no—
404C32×C4C22×Q812yes—
405C32×C4C22×Q812yes—
406C32×C4H(5,𝔽2)12yes—
407C3⋊Dic3—24no—
408C3⋊Dic3—24no—
409C3×Dic3—24no—
410C3×Dic3—24no—
411C3×Dic3—24no—
412C22×Q8—94no—
413C22×D4—31no—
414C23×C4—32no—
415C4⋊Q8—31no—
416C4⋊Q8—31no—
417C4⋊Q8—94no—
418C4⋊Q8—94no—
419C4⋊Q8—91no—
420C4⋊Q8—91no—
421#125—32no—
422#125—94no—
423#125—94no—
424#125—92no—
425C22⋊Q8—32no—
426C22⋊Q8—32no—
427C22⋊Q8—98no—
428C22⋊Q8—98no—
429C22⋊Q8—98no—
430C22⋊Q8—98no—
431C22⋊Q8—98no—
432C22⋊Q8—94no—
433C22⋊Q8—98no—
434C22⋊Q8—94no—
435C22⋊Q8—92no—
436C22⋊Q8—92no—
437C4×Q8—32no—
438C4×Q8—32no—
439C4×Q8—92no—
440C4×Q8—92no—
441C4×D4—32no—
442C4×D4—32no—
443C4×D4—32no—
444C4×D4—32no—
445C4×D4—94no—
446C4×D4—94no—
447C4×D4—94no—
448C4×D4—94no—
449#117—32no—
450#117—92no—
451C2×C4⋊C4—31no—
452C2×C4⋊C4—98no—
453C2×C4⋊C4—94no—
454C2×C22⋊C4—32no—
455C2×C22⋊C4—98no—
456C2×C42D3211yescharacteristic
457C23×C3—21no—
458C23×C3—34no—
459C23×C3—38no—
460C23×C3—122no—
461C23×C3—122no—
462C23×C3C23×D311yescharacteristic
463C23×C3C23×D311yescharacteristic
464C22×D3—42no—
465C22×D3—42no—
466C22×D3C2×Dic618yescomplemented
467C22×D3C23×D314yes—
468C3×Q8—64no—
469C3×Q8—122no—
470C3×D4—38no—
471C3×D4—38no—
472C2×C3×C4—22no—
473C2×C3×C4—22no—
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—24no—
481C2×C3×C4—34no—
482C2×C3×C4—34no—
483C2×C3×C4—34no—
484C2×C3×C4—42no—
485C2×C3×C4—41no—
486C2×C3×C4—41no—
487C2×C3×C4—42no—
488C2×C3×C4—68no—
489C2×C3×C4—124no—
490C2×C3×C4—122no—
491C2×C3×C4C2×Dic614yescomplemented
492C2×C3×C4D3×Q814yescomplemented
493C2×C3×C4C23×D311yescharacteristic
494C2×C3×C4C23×D311yescharacteristic
495C2×C3×C4C23×D311yescharacteristic
496C2×C3×C4C23×D311yescharacteristic
497C2×C3×C4C23×D311yescharacteristic
498C2×C3×C4C23×D311yescharacteristic
499C2×C3×C4C23×D311yescharacteristic
500C2×C3×C4C23×D311yescharacteristic
501C2×C3×C4C23×D311yescharacteristic
502C2×C3×C4C23×D311yescharacteristic
503C2×C3×C4C23×D311yescharacteristic
504C2×C3×C4C23×D311yescharacteristic
505C2×Dic3—34no—
506C2×Dic3—34no—
507C2×Dic3—34no—
508C2×Dic3—34no—
509C2×Dic3—42no—
510C2×Dic3—64no—
511C2×Dic3—64no—
512C2×Dic3—128no—
513C2×Dic3—128no—
514C2×Dic3C23×D314yes—
515C2×Dic3C23×D314yes—
516C2×Dic3C23×D314yes—
517D12C2×Dic618yescomplemented
518D12C2×Dic618yescomplemented
519C4×D3—28no—
520C4×D3—44no—
521C4×D3—128no—
522C4×D3—128no—
523Dic6—24no—
524Dic6—42no—
525Dic6—64no—
526Dic6—64no—
527Dic6—124no—
528Dic6—128no—
529Dic6—128no—
530Dic6—122no—
531Dic6—122no—
532Dic6—124no—
533C2×C32—22no—
534C2×C32C23×Q811yescharacteristic
535C2×C32C2×H(5,𝔽2)11yescharacteristic
536C2×C32#58511yescharacteristic
537C3×D3—28no—
538C24—32no—
539C2×Q8—32no—
540C2×Q8—32no—
541C2×Q8—98no—
542C2×Q8—92no—
543C2×Q8—92no—
544C2×Q8—368no—
545C2×D4—32no—
546C2×D4—32no—
547C2×D4—38no—
548C22×C4—32no—
549C22×C4—34no—
550C22×C4—34no—
551C22×C4—98no—
552C22×C4—98no—
553C22×C4—124no—
554C22×C4C2×D3211yescharacteristic
555C22×C4C2×D3211yescharacteristic
556C22×C4C2×D3211yescharacteristic
557C4⋊C4—32no—
558C4⋊C4—32no—
559C4⋊C4—34no—
560C4⋊C4—32no—
561C4⋊C4—32no—
562C4⋊C4—32no—
563C4⋊C4—34no—
564C4⋊C4—32no—
565C4⋊C4—98no—
566C4⋊C4—98no—
567C4⋊C4—98no—
568C4⋊C4—94no—
569C4⋊C4—92no—
570C4⋊C4—92no—
571C4⋊C4—92no—
572C4⋊C4—94no—
573C4⋊C4—92no—
574C22⋊C4—34no—
575C22⋊C4—34no—
576C22⋊C4—34no—
577C22⋊C4—98no—
578C22⋊C4—98no—
579C22⋊C4—94no—
580C42—34no—
581C42—94no—
582C42C2×D3211yescharacteristic
583C42C2×D3211yescharacteristic
584C42C2×D3211yescharacteristic
585C42C2×D3211yescharacteristic
586C22×C3—21no—
587C22×C3—21no—
588C22×C3—21no—
589C22×C3—21no—
590C22×C3—22no—
591C22×C3—21no—
592C22×C3—38no—
593C22×C3—41no—
594C22×C3—41no—
595C22×C3—64no—
596C22×C3—64no—
597C22×C3—128no—
598C22×C3C22×Dic612yes—
599C22×C3C2×D3×Q812yes—
600C22×C3C24×D311yescharacteristic
601C22×C3C24×D311yescharacteristic
602C2×D3—24no—
603C2×D3—24no—
604C2×D3—48no—
605C2×D3C22×Dic618yes—
606C3×C4—22no—
607C3×C4—21no—
608C3×C4—21no—
609C3×C4—21no—
610C3×C4—21no—
611C3×C4—21no—
612C3×C4—21no—
613C3×C4—22no—
614C3×C4—22no—
615C3×C4—22no—
616C3×C4—41no—
617C3×C4—41no—
618C3×C4—64no—
619C3×C4—64no—
620C3×C4—64no—
621C3×C4C22×Dic612yes—
622C3×C4C22×Dic612yes—
623C3×C4#100412yes—
624C3×C4C2×D3×Q812yes—
625C3×C4C2×D3×Q812yes—
626C3×C4#100912yes—
627Dic3—24no—
628Dic3—24no—
629Dic3—24no—
630Dic3—64no—
631Dic3—64no—
632Dic3—64no—
633Dic3—64no—
634Dic3—124no—
635Dic3—124no—
636C32#350111yescharacteristic, complemented, Sylow
637C23—34no—
638C23—38no—
639C23—122no—
640C23—122no—
641C23C22×D3211yescharacteristic
642Q8—64no—
643Q8—122no—
644Q8—184no—
645Q8—362no—
646Q8—368no—
647D4—38no—
648D4—38no—
649C2×C4—22no—
650C2×C4—34no—
651C2×C4—34no—
652C2×C4—34no—
653C2×C4—41no—
654C2×C4—68no—
655C2×C4—94no—
656C2×C4—94no—
657C2×C4—124no—
658C2×C4—122no—
659C2×C4—368no—
660C2×C4—368no—
661C2×C4D3×Dic614yescomplemented
662C2×C4C22×D3211yescharacteristic
663C2×C4C22×D3211yescharacteristic
664C2×C4C22×D3211yescharacteristic
665C2×C4C22×D3211yescharacteristic
666C2×C4C22×D3211yescharacteristic
667C2×C4C22×D3211yescharacteristic
668C2×C3—22no—
669C2×C3—22no—
670C2×C3—21no—
671C2×C3—21no—
672C2×C3—21no—
673C2×C3—42no—
674C2×C3—68no—
675C2×C3C23×Dic611yescharacteristic
676C2×C3C2×#100411yescharacteristic
677C2×C3C22×D3×Q811yescharacteristic
678C2×C3C2×#100911yescharacteristic
679C2×C3#596411yescharacteristic
680C2×C3#596411yescharacteristic
681D3—28no—
682C22—21no—
683C22—21no—
684C22—38no—
685C22—64no—
686C22—64no—
687C22—128no—
688C22C2×D3×Dic612yes—
689C22C23×D3211yescharacteristic
690C4—21no—
691C4—21no—
692C4—21no—
693C4—64no—
694C4—64no—
695C4—64no—
696C4—184no—
697C4—184no—
698C4C2×D3×Dic612yes—
699C4C2×D3×Dic612yes—
700C4#6430712yes—
701C3—21no—
702C3#8576611yescharacteristic, complemented
703C3#8628011yescharacteristic, complemented
704C2—22no—
705C2—68no—
706C2C22×D3×Dic611yescharacteristic
707C2C2×#6430711yescharacteristic
708C2#1059666911yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC2×C32×C42C22
prime radicalC22×C3×D12C22
hypercenterC2×C42D32
hypocenterC32#3501
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
1. #10595941C2semidirect
3. C3×#5470C2semidirect
4. #10595051C2semidirect
6. #10594971C2semidirect
7. D3×#924C2semidirect
8. #10593960C2semidirect
9. #10593956C2semidirect
10. #10593941C2semidirect
11. #10593929C2semidirect
12. #10593904C2semidirect
13. Dic6×D12C2semidirect
18. C2×D3×Dic6C22semidirect
23. #64079C22semidirect
24. #64078C22semidirect
25. #64078C22semidirect
26. C4×#634C22semidirect
27. C4×#634C22semidirect
37. C3×#870C22semidirect
38. C3×#869C22semidirect
39. C3×#869C22semidirect
40. C3×C4×Dic6C22semidirect
41. C3×C4×Dic6C22semidirect
44. #63919C22semidirect
45. #63918C22semidirect
46. #63899C22semidirect
49. #63896C22semidirect
50. #63893C22semidirect
53. D3×C4⋊Dic3C22semidirect
54. #63887C22semidirect
55. D3×Dic3⋊C4C22semidirect
56. #63872C22semidirect
57. #63869C22semidirect
58. #63857C22semidirect
59. #63856C22semidirect
60. #63851C22semidirect
87. #5470D3semidirect
95. C2×C3×D12Q8semidirect
218. #870C2×D3semidirect
226. #869C2×D3semidirect
227. #869C2×D3semidirect
234. C4×Dic6C2×D3semidirect
235. C4×Dic6C2×D3semidirect
239. C22×C3×D3C2×Q8semidirect
243. C2×C32×C4C2×Q8semidirect
258. C3×D12C2×Q8semidirect
259. C3×D12C2×Q8semidirect
304. C2×D12Dic6semidirect
466. C22×D3C2×Dic6semidirect
491. C2×C3×C4C2×Dic6semidirect
492. C2×C3×C4D3×Q8semidirect
517. D12C2×Dic6semidirect
518. D12C2×Dic6semidirect
636. C32#3501semidirect
661. C2×C4D3×Dic6semidirect
702. C3#85766semidirect
703. C3#86280semidirect

Maximal subgroups

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

subgroupindex
#105959412
C2×C3×C4×D122
C3×#54702
#105950512
#105949822
#105949712
D3×#9242
#105939602
#105939562
#105939412
#105939292
#105939042
Dic6×D122
#862803
#857663