Finite Group Databasebeta

← #11868037

Subgroups — #11868037

Order 1152.

1037 conjugacy classes of subgroups.

The subgroup lattice has 807 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64159C211yesmaximal, characteristic, complemented
2C3×#5822C211yesmaximal, characteristic, complemented
3#10594795C211yesmaximal, characteristic, complemented
4C2×#63815C211yesmaximal, characteristic, complemented
5C3×#5237C211yesmaximal, characteristic, complemented
6#10591644C212yesmaximal, complemented
7#10591643C212yesmaximal, complemented
8#10591508C212yesmaximal, complemented
9#10591507C212yesmaximal, complemented
10C2×#63578C211yesmaximal, characteristic, complemented
11#10591078C211yesmaximal, characteristic, complemented
12#84001—31nomaximal
13#78719—31nomaximal
14C2×C32×#41C2211yescharacteristic
15C2×#3828C2211yescharacteristic
16C2×C3×#235C2211yescharacteristic
17#64159—21no—
18#64159—21no—
19#64159—21no—
20#64159—21no—
21C2×#3756C2211yescharacteristic, complemented
22C2×#3755C2211yescharacteristic, complemented
23C2×#3754C2211yescharacteristic, complemented
24C2×#3753C2211yescharacteristic, complemented
25C22×C3⋊(C3⋊C8)C2211yescharacteristic
26C3×#951—21no—
27C3×#950—22no—
28C3×#949—21no—
29C3×#942C2212yes—
30C3×#932C2212yes—
31C2×C3×#208C2211yescharacteristic
32C2×C3×#208C2211yescharacteristic
33C2×C3×#208C2211yescharacteristic
34#63833—21no—
35#63831C2212yes—
36#63830—21no—
37#63829—22no—
38#63825C2212yes—
39C2×#3711—21no—
40#63815—21no—
41#63815—21no—
42#63815C2212yes—
43#63815C2212yes—
44C2×D3×C3⋊C8—21no—
45C3×#836C2212yescomplemented
46C3×#833C2212yescomplemented
47#63578C2212yescomplemented
48#63578C2212yescomplemented
49#63561C2212yescomplemented
50#63559C2212yescomplemented
51C3×#575—31no—
52#5822—31no—
53#5822D311yescharacteristic, complemented
54C2×#950—31no—
55C2×#950—31no—
56C2×#950—61no—
57C2×#948—31no—
58#5748—31no—
59C2×#907—31no—
60C3×#413—31no—
61#5237D311yescharacteristic, complemented
62#5204—32no—
63#5203—32no—
64#5200—32no—
65#5199—32no—
66#5132—31no—
67#5132—31no—
68C2×#822—31no—
69C2×#822—31no—
70#4755—32no—
71#4754—32no—
72#4749—32no—
73#4748—32no—
74C32×#41—21no—
75C32×#41—21no—
76C32×#41—21no—
77C32×#41—21no—
78C2×C32×Q8C2311yescharacteristic
79C2×C32×D4—21no—
80C2×C32×D4C2311yescharacteristic
81C22×C32×C4—21no—
82C22×C32×C4C2311yescharacteristic
83C2×#638—21no—
84#3828—21no—
85#3828—21no—
86#3828—21no—
87#3828—21no—
88C2×C4⋊(C3⋊D3)C2311yescharacteristic
89C2×C4×C3⋊D3—21no—
90C2×#634C2311yescharacteristic
91C2×C3×#67—21no—
92C3×#235—21no—
93C3×#235—21no—
94C3×#235D412yes—
95C3×#235C2312yes—
96C2×C3×D12D411yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×Dic6D411yescharacteristic
99#3756—21no—
100#3756—21no—
101#3755—21no—
102#3755—21no—
103#3754—21no—
104#3754—21no—
105#3753—21no—
106#3753—21no—
107C2×C3⋊(C3⋊C8)D411yescharacteristic
108C2×C3⋊(C3⋊C8)D411yescharacteristic
109C2×C3⋊(C3⋊C8)D411yescharacteristic
110C2×C3⋊(C3⋊C8)D411yescharacteristic
111C2×C3⋊(C3⋊C8)C2311yescharacteristic
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C3×#216—22no—
114C3×#215—22no—
115C3×#214—22no—
116C3×#213—22no—
117C3×#208—21no—
118C3×#208—21no—
119C3×#208—21no—
120C3×#208C2312yes—
121C3×#208C2312yes—
122C3×#208C2312yes—
123C2×C3×C3⋊C8—21no—
124C2×C3×C3⋊C8—21no—
125C2×C3×C3⋊C8—21no—
126#3719—22no—
127#3717—22no—
128#3716—22no—
129#3714—22no—
130#3711—22no—
131#3711—22no—
132D3×C3⋊C8—22no—
133D3×C3⋊C8—22no—
134#3067—91noSylow
135C2×C3×#41—21no—
136C2×C3×#41—31no—
137C2×C3×#41C2×D311yescharacteristic
138C2×C3×#41C2×D311yescharacteristic
139C2×#235—31no—
140C2×#235—31no—
141C2×#235—61no—
142C2×#235C2×D311yescharacteristic
143C3×#137—32no—
144C3×#137—61no—
145C3×AGL(1,ℤ/8)—32no—
146C3×AGL(1,ℤ/8)—61no—
147C3×#135—62no—
148C2×C3×M16—31no—
149C2×C3×M16—31no—
150C2×C3×M16—31no—
151#951—21no—
152#951—32no—
153#950—22no—
154#950—62no—
155#950—61no—
156#950—61no—
157#950—61no—
158#950—61no—
159#950—61no—
160#950—61no—
161#950—61no—
162#950—61no—
163#950—62no—
164#950—62no—
165#950—62no—
166#950—62no—
167#949—21no—
168#949—32no—
169#948—32no—
170#948—32no—
171#948—61no—
172#948—61no—
173C2×#216—31no—
174C2×#216—31no—
175C2×#216—61no—
176#942—61no—
177#942C2×D312yes—
178C2×#215—31no—
179C2×#215—31no—
180C2×#215—61no—
181C2×#214—31no—
182C2×#214—31no—
183C2×#214—61no—
184#932—61no—
185#932C2×D312yes—
186C2×#213—31no—
187C2×#213—31no—
188C2×#213—61no—
189C2×#208—61no—
190C2×#208C2×D311yescharacteristic
191C2×#208C2×D311yescharacteristic
192C2×#208C2×D311yescharacteristic
193C22×C3⋊C8—31no—
194C22×C3⋊C8—31no—
195C22×C3⋊C8—61no—
196C22×C3⋊C8—61no—
197#909—32no—
198#909—61no—
199#908—32no—
200#908—61no—
201#907—32no—
202#907—32no—
203#907—61no—
204#907—61no—
205#904—62no—
206C2×ΓL(1,𝔽25)—61no—
207C2×D3×C8—61no—
208C3×#101—32no—
209C3×#100—32no—
210#836C2×D312yescomplemented
211#833C2×D312yescomplemented
212#824—32no—
213#824—32no—
214#823—32no—
215#823—32no—
216#822—32no—
217#822—32no—
218#822—32no—
219#822—32no—
220C23×C32—21no—
221C23×C32#4111yescharacteristic
222C22×C3⋊D3—21no—
223C22×C3×D3—21no—
224C32×Q8—21no—
225C32×Q8—21no—
226C32×D4—21no—
227C32×D4—21no—
228C32×D4—41no—
229C32×D4—41no—
230C2×C32×C4—21no—
231C2×C32×C4—41no—
232C2×C32×C4—41no—
233C2×C32×C4C2×D411yescharacteristic
234C2×C32×C4C2×D411yescharacteristic
235C2×C32×C4C2×D411yescharacteristic
236C2×C32×C4C2×D411yescharacteristic
237C2×C32×C4#4111yescharacteristic
238C2×C32×C4C2411yescharacteristic
239#638—41no—
240#638—41no—
241C2×C3⋊Dic3—21no—
242C4⋊(C3⋊D3)—21no—
243C4⋊(C3⋊D3)—21no—
244C4×C3⋊D3—41no—
245C4×C3⋊D3—41no—
246#634—21no—
247#634—21no—
248C3×#67—22no—
249C3×#67—22no—
250C2×C3×Dic3—21no—
251C3×D12—21no—
252C3×D12C2×D412yes—
253C3×C4×D3—22no—
254C3×C4×D3—22no—
255C3×Dic6—21no—
256C3×Dic6C2×D412yes—
257C3⋊(C3⋊C8)C2×D411yescharacteristic
258C3⋊(C3⋊C8)C2×D411yescharacteristic
259C3⋊(C3⋊C8)C2×D411yescharacteristic
260C3⋊(C3⋊C8)C2×D411yescharacteristic
261C3×C3⋊C8—22no—
262C3×C3⋊C8—22no—
263C3×C3⋊C8—22no—
264#575—31no—
265#575—91no—
266C2×#135—91no—
267C2×#131—91no—
268#473—92no—
269#472—92no—
270#471—92no—
271#471—92no—
272C2×#108—91no—
273#413—31no—
274#413—91no—
275C3×#41—22no—
276C3×#41—22no—
277C3×#41—21no—
278C3×#41—21no—
279C3×#41—21no—
280C3×#41—21no—
281C3×#41—21no—
282C3×#41—21no—
283C3×#41—21no—
284C3×#41—21no—
285C3×#41—32no—
286C3×#41—32no—
287C3×#41—41no—
288C3×#41—41no—
289C3×#41—61no—
290C3×#41—61no—
291C2×C3×Q8—21no—
292C2×C3×Q8—31no—
293C2×C3×Q8C22×D311yescharacteristic
294C2×C3×Q8C22×D311yescharacteristic
295C2×C3×D4—21no—
296C2×C3×D4—21no—
297C2×C3×D4—21no—
298C2×C3×D4—31no—
299C2×C3×D4—41no—
300C2×C3×D4—61no—
301C2×C3×D4C22×D311yescharacteristic
302C2×C3×D4C22×D311yescharacteristic
303C22×C3×C4—21no—
304C22×C3×C4—21no—
305C22×C3×C4—21no—
306C22×C3×C4—41no—
307C22×C3×C4—61no—
308C22×C3×C4C22×D311yescharacteristic
309C22×C3×C4C22×D311yescharacteristic
310C2×#67—21no—
311C2×#67—61no—
312C2×#67—61no—
313C2×#67—121no—
314#235—21no—
315#235—21no—
316#235—62no—
317#235—62no—
318#235—61no—
319#235—61no—
320#235—61no—
321#235—61no—
322#235—61no—
323#235—61no—
324#235—61no—
325#235—61no—
326#235—121no—
327#235—121no—
328#235#6712yes—
329#235C22×D312yes—
330C2×D12—31no—
331C2×D12—31no—
332C2×D12—61no—
333C2×D12#6711yescharacteristic
334C2×C4×D3—21no—
335C2×C4×D3—61no—
336C2×C4×D3—61no—
337C2×C4×D3—121no—
338C2×Dic6—31no—
339C2×Dic6—31no—
340C2×Dic6—61no—
341C2×Dic6#6711yescharacteristic
342C3×Q16—62no—
343C3×SD16—62no—
344C3×SD16—62no—
345C3×D8—62no—
346C3×M16—32no—
347C3×M16—32no—
348C3×M16—32no—
349C3×M16—61no—
350C3×M16—61no—
351C3×M16—61no—
352C2×C3×C8—61no—
353C2×C3×C8—61no—
354C2×C3×C8—61no—
355#216—22no—
356#216—62no—
357#216—61no—
358#216—61no—
359#216—61no—
360#216—61no—
361#216—62no—
362#216—62no—
363#215—22no—
364#215—62no—
365#215—61no—
366#215—61no—
367#215—61no—
368#215—61no—
369#215—62no—
370#215—62no—
371#214—22no—
372#214—62no—
373#214—61no—
374#214—61no—
375#214—61no—
376#214—61no—
377#214—62no—
378#214—62no—
379#213—22no—
380#213—62no—
381#213—61no—
382#213—61no—
383#213—61no—
384#213—61no—
385#213—62no—
386#213—62no—
387#208—21no—
388#208—21no—
389#208—21no—
390#208—62no—
391#208—62no—
392#208C22×D312yes—
393#208C22×D312yes—
394#208C22×D312yes—
395C2×C3⋊C8—21no—
396C2×C3⋊C8—21no—
397C2×C3⋊C8—21no—
398C2×C3⋊C8—31no—
399C2×C3⋊C8—31no—
400C2×C3⋊C8—31no—
401C2×C3⋊C8—31no—
402C2×C3⋊C8—31no—
403C2×C3⋊C8—31no—
404C2×C3⋊C8—31no—
405C2×C3⋊C8—31no—
406C2×C3⋊C8—31no—
407C2×C3⋊C8—31no—
408C2×C3⋊C8—31no—
409C2×C3⋊C8—31no—
410C2×C3⋊C8—61no—
411C2×C3⋊C8—61no—
412C2×C3⋊C8—61no—
413C2×C3⋊C8—61no—
414C2×C3⋊C8—61no—
415C2×C3⋊C8—61no—
416C2×C3⋊C8—62no—
417C2×C3⋊C8—62no—
418Dic12—62no—
419D24—62no—
420#204—62no—
421#204—62no—
422ΓL(1,𝔽25)—62no—
423ΓL(1,𝔽25)—62no—
424D3×C8—62no—
425D3×C8—62no—
426C22×C32—41no—
427C22×C32—41no—
428C22×C32—81no—
429C22×C32#12111yescharacteristic
430C22×C32#12111yescharacteristic
431C22×C32C2×#4111yescharacteristic
432C2×C3⋊D3—41no—
433C2×C3⋊D3—81no—
434C2×C3×D3—22no—
435C2×C3×D3—42no—
436C32×C4—41no—
437C32×C4#12111yescharacteristic
438C32×C4#12111yescharacteristic
439C32×C4C22×D411yescharacteristic
440C32×C4C22×D411yescharacteristic
441C3⋊Dic3—41no—
442C3×Dic3—22no—
443C2×#41—31no—
444C2×#41—91no—
445C2×#41D3211yescharacteristic
446#137—32no—
447#137—61no—
448#137—92no—
449#137—181no—
450AGL(1,ℤ/8)—32no—
451AGL(1,ℤ/8)—61no—
452AGL(1,ℤ/8)—92no—
453AGL(1,ℤ/8)—181no—
454#135—62no—
455#135—182no—
456#135—181no—
457#135—181no—
458#135—181no—
459#135—181no—
460C2×Q16—91no—
461C2×SD16—91no—
462C2×SD16—91no—
463C2×D8—91no—
464#131—92no—
465#131—92no—
466#131—181no—
467#131—181no—
468C2×M16—31no—
469C2×M16—31no—
470C2×M16—31no—
471C2×M16—181no—
472C22×C8—91no—
473C22×C8—181no—
474#108—92no—
475#108—92no—
476#101—32no—
477#101—92no—
478#100—32no—
479#100—92no—
480C23×C3—21no—
481C23×C3—21no—
482C23×C3—21no—
483C23×C3—41no—
484C23×C3—61no—
485C23×C3#23511yescharacteristic
486C23×C3#23711yescharacteristic
487C22×D3—21no—
488C22×D3—61no—
489C22×D3—61no—
490C22×D3—121no—
491C3×Q8—22no—
492C3×Q8—21no—
493C3×Q8—21no—
494C3×Q8—21no—
495C3×Q8—21no—
496C3×Q8—32no—
497C3×Q8—41no—
498C3×Q8—61no—
499C3×D4—22no—
500C3×D4—21no—
501C3×D4—21no—
502C3×D4—21no—
503C3×D4—21no—
504C3×D4—32no—
505C3×D4—41no—
506C3×D4—42no—
507C3×D4—42no—
508C3×D4—41no—
509C3×D4—41no—
510C3×D4—41no—
511C3×D4—41no—
512C3×D4—62no—
513C3×D4—62no—
514C3×D4—61no—
515C2×C3×C4—21no—
516C2×C3×C4—21no—
517C2×C3×C4—21no—
518C2×C3×C4—21no—
519C2×C3×C4—21no—
520C2×C3×C4—21no—
521C2×C3×C4—21no—
522C2×C3×C4—21no—
523C2×C3×C4—41no—
524C2×C3×C4—42no—
525C2×C3×C4—42no—
526C2×C3×C4—41no—
527C2×C3×C4—41no—
528C2×C3×C4—41no—
529C2×C3×C4—41no—
530C2×C3×C4—61no—
531C2×C3×C4—62no—
532C2×C3×C4—62no—
533C2×C3×C4#23511yescharacteristic
534C2×C3×C4D3×D411yescharacteristic
535C2×C3×C4D3×D411yescharacteristic
536C2×C3×C4D3×D411yescharacteristic
537C2×C3×C4D3×D411yescharacteristic
538C2×C3×C4D3×D411yescharacteristic
539C2×C3×C4D3×D411yescharacteristic
540C2×C3×C4#23711yescharacteristic
541C2×C3×C4C2×#6711yescharacteristic
542C2×C3×C4C2×#6711yescharacteristic
543C2×C3×C4C23×D311yescharacteristic
544C2×C3×C4C23×D311yescharacteristic
545#67—22no—
546#67—22no—
547#67—122no—
548#67—122no—
549#67—121no—
550#67—121no—
551#67—121no—
552#67—121no—
553C2×Dic3—21no—
554C2×Dic3—61no—
555C2×Dic3—61no—
556C2×Dic3—121no—
557D12—21no—
558D12—62no—
559D12—61no—
560D12—61no—
561D12—61no—
562D12—61no—
563D12—121no—
564D12C2×#6712yes—
565C4×D3—22no—
566C4×D3—22no—
567C4×D3—122no—
568C4×D3—122no—
569C4×D3—121no—
570C4×D3—121no—
571C4×D3—121no—
572C4×D3—121no—
573Dic6—21no—
574Dic6—62no—
575Dic6—61no—
576Dic6—61no—
577Dic6—61no—
578Dic6—61no—
579Dic6—121no—
580Dic6C2×#6712yes—
581C3×C8—62no—
582C3×C8—62no—
583C3×C8—62no—
584C3⋊C8—22no—
585C3⋊C8—22no—
586C3⋊C8—22no—
587C3⋊C8—31no—
588C3⋊C8—31no—
589C3⋊C8—31no—
590C3⋊C8—31no—
591C3⋊C8—31no—
592C3⋊C8—31no—
593C3⋊C8—31no—
594C3⋊C8—31no—
595C3⋊C8—61no—
596C3⋊C8—61no—
597C3⋊C8—61no—
598C3⋊C8—61no—
599C2×C32—21no—
600C2×C32—21no—
601C2×C32—21no—
602C2×C32—81no—
603C2×C32C2×#12111yescharacteristic
604C3⋊D3—81no—
605C3×D3—42no—
606#41—21no—
607#41—21no—
608#41—21no—
609#41—21no—
610#41—32no—
611#41—32no—
612#41—61no—
613#41—61no—
614#41—181no—
615#41—181no—
616#41—181no—
617#41—181no—
618C2×Q8—31no—
619C2×Q8—91no—
620C2×Q8C2×D3211yescharacteristic
621C2×D4—21no—
622C2×D4—31no—
623C2×D4—61no—
624C2×D4—91no—
625C2×D4—181no—
626C2×D4C2×D3211yescharacteristic
627C22×C4—21no—
628C22×C4—61no—
629C22×C4—181no—
630C22×C4C2×D3211yescharacteristic
631Q16—62no—
632Q16—182no—
633Q16—181no—
634Q16—181no—
635SD16—62no—
636SD16—62no—
637SD16—182no—
638SD16—182no—
639SD16—181no—
640SD16—181no—
641SD16—181no—
642SD16—181no—
643D8—62no—
644D8—182no—
645D8—181no—
646D8—181no—
647M16—32no—
648M16—32no—
649M16—32no—
650M16—61no—
651M16—61no—
652M16—61no—
653M16—182no—
654M16—182no—
655C2×C8—61no—
656C2×C8—61no—
657C2×C8—61no—
658C2×C8—91no—
659C2×C8—91no—
660C2×C8—91no—
661C2×C8—91no—
662C2×C8—91no—
663C2×C8—91no—
664C2×C8—182no—
665C2×C8—182no—
666C22×C3—21no—
667C22×C3—21no—
668C22×C3—21no—
669C22×C3—41no—
670C22×C3—41no—
671C22×C3—42no—
672C22×C3—42no—
673C22×C3—41no—
674C22×C3—41no—
675C22×C3—62no—
676C22×C3—81no—
677C22×C3—81no—
678C22×C3—82no—
679C22×C3—122no—
680C22×C3#88411yescharacteristic
681C22×C3#88411yescharacteristic
682C22×C3#93911yescharacteristic
683C22×C3#93911yescharacteristic
684C22×C3C2×#23511yescharacteristic
685C22×C3C2×#23711yescharacteristic
686C2×D3—22no—
687C2×D3—42no—
688C2×D3—122no—
689C2×D3—121no—
690C2×D3—121no—
691C2×D3—242no—
692C2×D3—241no—
693C2×D3—241no—
694C3×C4—21no—
695C3×C4—21no—
696C3×C4—21no—
697C3×C4—21no—
698C3×C4—42no—
699C3×C4—41no—
700C3×C4—41no—
701C3×C4—62no—
702C3×C4#88411yescharacteristic
703C3×C4#88411yescharacteristic
704C3×C4#93911yescharacteristic
705C3×C4#93911yescharacteristic
706C3×C4C2×D3×D411yescharacteristic
707C3×C4C2×D3×D411yescharacteristic
708C3×C4C2×D3×D411yescharacteristic
709C3×C4C22×#6711yescharacteristic
710Dic3—22no—
711Dic3—122no—
712Dic3—121no—
713Dic3—121no—
714C32#306711yescharacteristic, complemented, Sylow
715C23—21no—
716C23—61no—
717C23—181no—
718C23#380411yescharacteristic
719Q8—21no—
720Q8—21no—
721Q8—32no—
722Q8—61no—
723Q8—181no—
724Q8—181no—
725D4—21no—
726D4—21no—
727D4—32no—
728D4—41no—
729D4—41no—
730D4—62no—
731D4—62no—
732D4—61no—
733D4—181no—
734D4—181no—
735D4—361no—
736D4—361no—
737C2×C4—21no—
738C2×C4—41no—
739C2×C4—41no—
740C2×C4—61no—
741C2×C4—62no—
742C2×C4—62no—
743C2×C4—181no—
744C2×C4—361no—
745C2×C4—361no—
746C2×C4#380411yescharacteristic
747C2×C4D3×#6711yescharacteristic
748C2×C4D3×#6711yescharacteristic
749C2×C4#381111yescharacteristic
750C2×C4#381111yescharacteristic
751C2×C4C22×D3211yescharacteristic
752C8—62no—
753C8—62no—
754C8—62no—
755C8—91no—
756C8—91no—
757C8—91no—
758C8—91no—
759C2×C3—22no—
760C2×C3—21no—
761C2×C3—21no—
762C2×C3—21no—
763C2×C3—21no—
764C2×C3—21no—
765C2×C3—21no—
766C2×C3—21no—
767C2×C3—41no—
768C2×C3—41no—
769C2×C3—82no—
770C2×C3—81no—
771C2×C3—81no—
772C2×C3—122no—
773C2×C3C2×#88411yescharacteristic
774C2×C3C2×#93911yescharacteristic
775D3—42no—
776D3—242no—
777D3—241no—
778D3—241no—
779C22—41no—
780C22—41no—
781C22—62no—
782C22—81no—
783C22—122no—
784C22—361no—
785C22—721no—
786C22#6397111yescharacteristic
787C22#6397111yescharacteristic
788C22C2×#380411yescharacteristic
789C4—41no—
790C4—62no—
791C4—361no—
792C4#6397111yescharacteristic
793C4#6397111yescharacteristic
794C4C2×D3×#6711yescharacteristic
795C4C2×#381111yescharacteristic
796C3—21no—
797C3#7871911yescharacteristic, complemented
798C3#8400111yescharacteristic, complemented
799C2—21no—
800C2—21no—
801C2—21no—
802C2—81no—
803C2—122no—
804C2—721no—
805C2C2×#6397111yescharacteristic
subgroupG/H
centerC4#63971
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×#41C22
socleC2×C32C2×#121
hypercenterC2×#41D32
hypocenterC32#3067
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C4 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×#64159C2semidirect
2. C3×#5822C2semidirect
3. #10594795C2semidirect
4. C2×#63815C2semidirect
5. C3×#5237C2semidirect
6. #10591644C2semidirect
7. #10591643C2semidirect
8. #10591508C2semidirect
9. #10591507C2semidirect
10. C2×#63578C2semidirect
11. #10591078C2semidirect
21. C2×#3756C22semidirect
22. C2×#3755C22semidirect
23. C2×#3754C22semidirect
24. C2×#3753C22semidirect
45. C3×#836C22semidirect
46. C3×#833C22semidirect
47. #63578C22semidirect
48. #63578C22semidirect
49. #63561C22semidirect
50. #63559C22semidirect
53. #5822D3semidirect
61. #5237D3semidirect
210. #836C2×D3semidirect
211. #833C2×D3semidirect
714. C32#3067semidirect
797. C3#78719semidirect
798. C3#84001semidirect

Maximal subgroups

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

subgroupindex
C2×#641592
C3×#58222
#105947952
C2×#638152
C3×#52372
#105916442
#105916432
#105915082
#105915072
C2×#635782
#105910782
#840013
#787193