Finite Group Databasebeta

← #11895744

Subgroups — #11895744

Order 1152.

843 conjugacy classes of subgroups.

The subgroup lattice has 767 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593929C211yesmaximal, characteristic, complemented
2#10593900C211yesmaximal, characteristic, complemented
3#10592546C211yesmaximal, characteristic, complemented
4C3×#4843C211yesmaximal, characteristic, complemented
5C3×#4828C211yesmaximal, characteristic, complemented
6#10590882C211yesmaximal, characteristic, complemented
7#10590878C211yesmaximal, characteristic, complemented
8#10590771C211yesmaximal, characteristic, complemented
9#10590767C211yesmaximal, characteristic, complemented
10Dic3×D24C211yesmaximal, characteristic, complemented
11#10590757C211yesmaximal, characteristic, complemented
12#10590753C211yesmaximal, characteristic, complemented
13#10590753C211yesmaximal, characteristic, complemented
14#10590346C211yesmaximal, characteristic, complemented
15#10590275C211yesmaximal, characteristic, complemented
16#80321—31nomaximal
17#79969—31nomaximal
18C2×#3796—21no—
19C4×C4⋊(C3⋊D3)C2211yescharacteristic
20#64079C2211yescharacteristic
21C2×C3×D24C2211yescharacteristic
22C2×C3×D24C2211yescharacteristic
23C3×#874C2211yescharacteristic
24C3×C4×D12C2211yescharacteristic
25C3×C4×Dic6C2211yescharacteristic
26#63918C2211yescharacteristic
27#63916—21no—
28#63911C2211yescharacteristic
29#63911C2211yescharacteristic
30#63899—21no—
31Dic3×D12C2211yescharacteristic
32Dic3×D12C2211yescharacteristic
33Dic3×D12C2211yescharacteristic
34Dic3×D12C2211yescharacteristic
35#63887—21no—
36#63886—21no—
37#63886—21no—
38D3×Dic3⋊C4—21no—
39#63869C2211yescharacteristic
40#63851—21no—
41C2×#3714C2211yescharacteristic
42C32×C4⋊C8C2211yescharacteristic
43#63648C2211yescharacteristic
44#63648C2211yescharacteristic
45#63645C2211yescharacteristic
46#63644C2211yescharacteristic
47C3×#821C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×#815C2211yescharacteristic
50C3×Dic3⋊C8C2211yescharacteristic
51C3×Dic3⋊C8C2211yescharacteristic
52C3×C8×Dic3C2211yescharacteristic
53C3×#803C2211yescharacteristic
54#63573C2211yescharacteristic
55#63564C2211yescharacteristic
56#63563C2211yescharacteristic
57#63563C2211yescharacteristic
58#63563C2211yescharacteristic
59#63563C2211yescharacteristic
60#63563C2211yescharacteristic
61#5718—31no—
62#5579—31no—
63#5577—31no—
64#5539—31no—
65C3×#459—31no—
66C3×#446—31no—
67#5152—31no—
68#5150—31no—
69#5150—31no—
70Dic3×D8—31no—
71#5071—31no—
72#5014—31no—
73#4847—31no—
74#4847—31no—
75#4847—31no—
76#4847—61no—
77#4843—31no—
78#4843—31no—
79#4843D311yescharacteristic, complemented
80#4842—31no—
81#4828D311yescharacteristic, complemented
82#4766—31no—
83#4764—31no—
84#4761—31no—
85#4760—31no—
86#4713—31no—
87#4713—31no—
88#4711—31no—
89#4711—31no—
90#4694—31no—
91C4×D24—31no—
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×C4×C3⋊D3—21no—
94C2×C3×D12—21no—
95C2×C3×D12—21no—
96C2×C3×D12C2311yescharacteristic
97C2×C3×D12C2311yescharacteristic
98C2×C3×D12C2311yescharacteristic
99C2×C3×C4×D3—21no—
100C2×C3×Dic6D411yescharacteristic
101C2×#627—21no—
102C2×#626—21no—
103C2×#626—21no—
104C2×#626—21no—
105C2×#626—21no—
106C2×D3×Dic3—21no—
107C2×D3×Dic3—21no—
108C2×D3×Dic3—21no—
109C2×D3×Dic3—21no—
110#3796—44no—
111C2×C32×C8C2311yescharacteristic
112C2×C32×C8C2311yescharacteristic
113C32×C42C2311yescharacteristic
114#3752—21no—
115C4⋊(C3⋊Dic3)C2311yescharacteristic
116C4⋊(C3⋊Dic3)C2311yescharacteristic
117C4⋊(C3⋊Dic3)C2311yescharacteristic
118#3750—21no—
119#3750—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3D411yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4D411yescharacteristic
124C3×Dic3⋊C4D411yescharacteristic
125C3×C4×Dic3C2311yescharacteristic
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C3×D24—22no—
130C3×D24—22no—
131#3724—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138#3714—22no—
139#3366—91noSylow
140C2×#239—61no—
141C2×#237—61no—
142C2×C3×D8—31no—
143C2×C3×D8—31no—
144C3×#127—31no—
145C3×C4×Q8—31no—
146C3×C4×D4—31no—
147#946—61no—
148#940—31no—
149#940—31no—
150#939—61no—
151#939—61no—
152#938—61no—
153D4×Dic3—31no—
154D4×Dic3—31no—
155D4×Dic3—31no—
156D4×Dic3—31no—
157C2×#213—31no—
158#924—61no—
159C2×Dic3⋊C4—61no—
160C2×D24—31no—
161C2×D24C2×D311yescharacteristic
162C2×D24C2×D311yescharacteristic
163#896—61no—
164#896—61no—
165#895—61no—
166#895—61no—
167#895—61no—
168D3×C4⋊C4—61no—
169#890—31no—
170#888—31no—
171#878—61no—
172#878—61no—
173#874—31no—
174#874—31no—
175#874C2×D311yescharacteristic
176C4×D12—31no—
177C4×D12—31no—
178C4×D12—31no—
179C4×D12—31no—
180C4×D12—31no—
181C4×D12—31no—
182C4×D12—61no—
183C4×D12C2×D311yescharacteristic
184#870—31no—
185#870—31no—
186#870—31no—
187#870—61no—
188#869—31no—
189C4×Dic6C2×D311yescharacteristic
190C3×C4⋊C8—21no—
191C3×C4⋊C8—31no—
192C3×C4⋊C8—31no—
193C3×C4⋊C8C2×D311yescharacteristic
194C3×C4⋊C8C2×D311yescharacteristic
195C3×#102—31no—
196C3×#102—31no—
197C3×#97—31no—
198C3×#97—31no—
199C3×C4×C8—31no—
200#832—31no—
201#832—31no—
202#832—31no—
203#832—31no—
204#832—31no—
205#821—31no—
206#821—31no—
207#821—31no—
208#821—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821—31no—
213#821—31no—
214#821—31no—
215#821—61no—
216#821—61no—
217#821C2×D311yescharacteristic
218#821C2×D311yescharacteristic
219#818—31no—
220#818—31no—
221#818—61no—
222#817—31no—
223#817—31no—
224#817—31no—
225#817—61no—
226#815C2×D311yescharacteristic
227Dic3⋊C8C2×D311yescharacteristic
228Dic3⋊C8C2×D311yescharacteristic
229C8×Dic3C2×D311yescharacteristic
230#809—31no—
231#808—31no—
232#803C2×D311yescharacteristic
233C22×C3⋊D3—21no—
234C22×C3×D3—21no—
235C22×C3×D3—21no—
236C22×C3×D3—21no—
237C2×C32×C4C2×D411yescharacteristic
238C2×C32×C4C2×D411yescharacteristic
239C2×C32×C4C2411yescharacteristic
240C2×C3⋊Dic3—21no—
241C2×C3⋊Dic3—21no—
242C2×C3⋊Dic3—21no—
243C4⋊(C3⋊D3)—21no—
244C4⋊(C3⋊D3)—21no—
245C4×C3⋊D3—42no—
246C2×C3×Dic3—21no—
247C2×C3×Dic3C2×D411yescharacteristic
248C2×C3×Dic3C2×D411yescharacteristic
249C2×C3×Dic3C2×D411yescharacteristic
250C2×C3×Dic3C2×D411yescharacteristic
251C3×D12—21no—
252C3×D12—21no—
253C3×D12—21no—
254C3×D12—21no—
255C3×D12—21no—
256C3×D12—42no—
257C3×D12—81no—
258C3×D12#4112yescomplemented
259C3×C4×D3—81no—
260C3×Dic6—22no—
261#627—81no—
262#626—42no—
263#626—42no—
264#626—81no—
265#626—81no—
266D3×Dic3—42no—
267D3×Dic3—42no—
268D3×Dic3—42no—
269D3×Dic3—81no—
270C32×C8—21no—
271C32×C8—21no—
272C3×C3⋊C8—21no—
273C3×C3⋊C8—21no—
274#554—91no—
275#550—91no—
276#490—91no—
277#490—91no—
278#486—91no—
279#478—91no—
280#478—91no—
281#476—91no—
282#459—31no—
283#459—91no—
284#459—91no—
285#446—31no—
286#442—91no—
287#442—91no—
288C4×D8—91no—
289C2×C3×Q8—31no—
290C2×C3×D4—31no—
291C2×C3×D4—31no—
292C2×C3×D4—31no—
293C2×C3×D4—61no—
294C2×C3×D4—61no—
295C22×C3×C4—61no—
296C2×#67—61no—
297C2×#67—61no—
298C2×#67—61no—
299C2×#67—61no—
300C22×Dic3—61no—
301C22×Dic3—61no—
302C22×Dic3—61no—
303C22×Dic3—61no—
304#239—124no—
305#237—124no—
306C2×D12—21no—
307C2×D12—21no—
308C2×D12—31no—
309C2×D12—31no—
310C2×D12—61no—
311C2×D12—61no—
312C2×D12—61no—
313C2×D12—61no—
314C2×D12—61no—
315C2×D12C22×D311yescharacteristic
316C2×D12C22×D311yescharacteristic
317C2×D12C22×D311yescharacteristic
318C2×C4×D3—21no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×C4×D3—61no—
322C2×C4×D3—61no—
323C2×C4×D3—61no—
324C2×C4×D3—61no—
325C2×C4×D3—121no—
326C2×Dic6—61no—
327C2×Dic6—61no—
328C2×Dic6D1211yescharacteristic
329C3×D8—62no—
330C3×D8—62no—
331C2×C3×C8—21no—
332C2×C3×C8—21no—
333C2×C3×C8—31no—
334C2×C3×C8—31no—
335C2×C3×C8C22×D311yescharacteristic
336C2×C3×C8C22×D311yescharacteristic
337C2×C3×C8C22×D311yescharacteristic
338C2×C3×C8C22×D311yescharacteristic
339C3×C4⋊C4—31no—
340C3×C4⋊C4—31no—
341C3×C4⋊C4—31no—
342C3×C4⋊C4—31no—
343C3×C22⋊C4—61no—
344C3×C42—21no—
345C3×C42—31no—
346C3×C42—31no—
347C3×C42C22×D311yescharacteristic
348C3×C42C22×D311yescharacteristic
349#217—61no—
350#217—61no—
351#217—61no—
352#217—61no—
353#213—62no—
354(C2×D3)⋊C4—21no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—121no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—31no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3D1211yescharacteristic
374C4⋊Dic3C22×D311yescharacteristic
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—121no—
384Dic3⋊C4—121no—
385Dic3⋊C4D1211yescharacteristic
386Dic3⋊C4D1211yescharacteristic
387C4×Dic3C22×D311yescharacteristic
388C4×Dic3C22×D311yescharacteristic
389C2×C3⋊C8C22×D311yescharacteristic
390C2×C3⋊C8C22×D311yescharacteristic
391D24—22no—
392D24—22no—
393D24—62no—
394C22×C32C22×D411yescharacteristic
395C2×C3⋊D3—41no—
396C2×C3⋊D3—41no—
397C2×C3⋊D3—41no—
398C2×C3×D3—22no—
399C2×C3×D3—41no—
400C2×C3×D3—41no—
401C2×C3×D3—41no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407C32×C4—21no—
408C32×C4—21no—
409C32×C4C2×#4111yescharacteristic
410C32×C42−1+411yescharacteristic
411C3⋊Dic3—41no—
412C3⋊Dic3—41no—
413C3⋊Dic3—41no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—41no—
418C3×Dic3AGL(1,ℤ/8)12yes—
419C2×#41—181no—
420C2×D8—31no—
421C2×D8—31no—
422C2×D8—91no—
423C4⋊Q8—91no—
424#127—31no—
425#127—91no—
426#127—91no—
427#125—91no—
428#125—91no—
429C22⋊Q8—181no—
430C22⋊Q8—181no—
431C22⋊Q8—181no—
432#121—181no—
433#121—181no—
434#121—181no—
435C4×Q8—31no—
436C4×D4—31no—
437C4×D4—91no—
438C4×D4—91no—
439C4×D4—91no—
440C4×D4—91no—
441C4×D4—91no—
442C2×C4⋊C4—181no—
443#107—91no—
444#106—91no—
445#106—91no—
446C4⋊C8—31no—
447C4⋊C8—31no—
448C4⋊C8D3211yescharacteristic
449#102—31no—
450#102—31no—
451#102—91no—
452#102—91no—
453#102—91no—
454#102—91no—
455#102—91no—
456#102—91no—
457#102—91no—
458#102—91no—
459#97—31no—
460#97—31no—
461C4×C8—31no—
462C23×C3—61no—
463C23×C3—61no—
464C23×C3—61no—
465C22×D3—21no—
466C22×D3—21no—
467C22×D3—21no—
468C22×D3—61no—
469C22×D3—61no—
470C22×D3—121no—
471C3×Q8—62no—
472C3×D4—32no—
473C3×D4—61no—
474C3×D4—61no—
475C3×D4—61no—
476C3×D4—61no—
477C3×D4—61no—
478C3×D4—122no—
479C3×D4—241no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—31no—
484C2×C3×C4—31no—
485C2×C3×C4—31no—
486C2×C3×C4—31no—
487C2×C3×C4—61no—
488C2×C3×C4—241no—
489C2×C3×C4C2×D1211yescharacteristic
490C2×C3×C4C2×D1211yescharacteristic
491C2×C3×C4D3×D411yescharacteristic
492C2×C3×C4D3×D411yescharacteristic
493C2×C3×C4C23×D311yescharacteristic
494C2×C3×C4C23×D311yescharacteristic
495#67—122no—
496#67—122no—
497#67—241no—
498#67—241no—
499C2×Dic3—21no—
500C2×Dic3—61no—
501C2×Dic3—61no—
502C2×Dic3—61no—
503C2×Dic3—61no—
504C2×Dic3—61no—
505C2×Dic3—61no—
506C2×Dic3—121no—
507C2×Dic3—121no—
508C2×Dic3—121no—
509C2×Dic3—122no—
510C2×Dic3—122no—
511C2×Dic3—122no—
512C2×Dic3—241no—
513C2×Dic3C2×D1211yescharacteristic
514C2×Dic3C2×D1211yescharacteristic
515C2×Dic3C2×D1211yescharacteristic
516C2×Dic3C2×D1211yescharacteristic
517D12—21no—
518D12—21no—
519D12—21no—
520D12—21no—
521D12—21no—
522D12—42no—
523D12—62no—
524D12—61no—
525D12—61no—
526D12—61no—
527D12—61no—
528D12—81no—
529D12—121no—
530D12—122no—
531D12—122no—
532D12—241no—
533D12—241no—
534D12#23712yescomplemented
535C4×D3—81no—
536C4×D3—122no—
537C4×D3—122no—
538C4×D3—122no—
539C4×D3—122no—
540C4×D3—122no—
541C4×D3—242no—
542C4×D3—241no—
543Dic6—22no—
544Dic6—241no—
545Dic6—241no—
546C3×C8—21no—
547C3×C8—21no—
548C3×C8—21no—
549C3×C8—21no—
550C3×C8—41no—
551C3×C8—41no—
552C3×C8—61no—
553C3×C8—61no—
554C3⋊C8—21no—
555C3⋊C8—21no—
556C2×C32#54811yescharacteristic
557C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
558C2×C32#57611yescharacteristic
559C3⋊D3—81no—
560C3×D3—42no—
561C3×D3—81no—
562C3×D3—81no—
563#41—364no—
564C2×Q8—31no—
565C2×Q8—181no—
566C2×D4—31no—
567C2×D4—31no—
568C2×D4—31no—
569C2×D4—61no—
570C2×D4—61no—
571C2×D4—91no—
572C2×D4—181no—
573C2×D4—181no—
574C2×D4—181no—
575C2×D4—181no—
576C22×C4—61no—
577C22×C4—181no—
578C22×C4—181no—
579C22×C4—181no—
580C22×C4—181no—
581C22×C4—181no—
582D8—62no—
583D8—62no—
584D8—182no—
585C2×C8—31no—
586C2×C8—31no—
587C2×C8C2×D3211yescharacteristic
588C2×C8C2×D3211yescharacteristic
589C4⋊C4—31no—
590C4⋊C4—31no—
591C4⋊C4—31no—
592C4⋊C4—31no—
593C4⋊C4—91no—
594C4⋊C4—91no—
595C4⋊C4—91no—
596C4⋊C4—181no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C22⋊C4—61no—
602C22⋊C4—181no—
603C22⋊C4—181no—
604C22⋊C4—181no—
605C22⋊C4—181no—
606C22⋊C4—181no—
607C42—31no—
608C42—31no—
609C42C2×D3211yescharacteristic
610C22×C3—21no—
611C22×C3—62no—
612C22×C3—121no—
613C22×C3—121no—
614C22×C3—121no—
615C22×C3—121no—
616C22×C3—121no—
617C22×C3—121no—
618C22×C3—121no—
619C22×C3—121no—
620C22×C3C22×D1211yescharacteristic
621C22×C3C2×D3×D411yescharacteristic
622C2×D3—22no—
623C2×D3—41no—
624C2×D3—41no—
625C2×D3—41no—
626C2×D3—41no—
627C2×D3—41no—
628C2×D3—41no—
629C2×D3—41no—
630C2×D3—41no—
631C2×D3—122no—
632C2×D3—121no—
633C2×D3—121no—
634C2×D3—121no—
635C2×D3—121no—
636C2×D3—121no—
637C2×D3—121no—
638C2×D3—241no—
639C2×D3—241no—
640C3×C4—21no—
641C3×C4—21no—
642C3×C4—21no—
643C3×C4—21no—
644C3×C4—21no—
645C3×C4—21no—
646C3×C4—32no—
647C3×C4—41no—
648C3×C4—41no—
649C3×C4—61no—
650C3×C4—61no—
651C3×C4—61no—
652C3×C4—121no—
653C3×C4C2×#23711yescharacteristic
654C3×C4#100711yescharacteristic
655C3×C4D3×#4111yescharacteristic
656C3×C4#101011yescharacteristic
657Dic3—21no—
658Dic3—21no—
659Dic3—21no—
660Dic3—41no—
661Dic3—121no—
662Dic3—121no—
663Dic3—121no—
664Dic3—121no—
665Dic3—121no—
666Dic3—121no—
667Dic3—241no—
668Dic3—241no—
669Dic3—241no—
670Dic3#90812yes—
671C32#336611yescharacteristic, complemented, Sylow
672C23—61no—
673C23—61no—
674C23—61no—
675C23—181no—
676Q8—62no—
677Q8—721no—
678D4—32no—
679D4—61no—
680D4—61no—
681D4—61no—
682D4—61no—
683D4—61no—
684D4—122no—
685D4—181no—
686D4—181no—
687D4—241no—
688D4—362no—
689D4—362no—
690D4—721no—
691D4—721no—
692C2×C4—31no—
693C2×C4—31no—
694C2×C4—31no—
695C2×C4—31no—
696C2×C4—61no—
697C2×C4—181no—
698C2×C4—181no—
699C2×C4—181no—
700C2×C4—241no—
701C2×C4—362no—
702C2×C4—362no—
703C2×C4—362no—
704C2×C4—362no—
705C2×C4—721no—
706C2×C4D3×D1211yescharacteristic
707C2×C4D3×D1211yescharacteristic
708C2×C4C22×D3211yescharacteristic
709C8—21no—
710C8—21no—
711C8—61no—
712C8—61no—
713C2×C3—21no—
714C2×C3—21no—
715C2×C3—21no—
716C2×C3—122no—
717C2×C3—241no—
718C2×C3—241no—
719C2×C3#557611yescharacteristic
720C2×C3#559811yescharacteristic
721C2×C3C2×#90811yescharacteristic
722C2×C3#575211yescharacteristic
723C2×C3#575711yescharacteristic
724C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
725D3—42no—
726D3—81no—
727D3—81no—
728D3—242no—
729D3—241no—
730D3—241no—
731C22—62no—
732C22—121no—
733C22—121no—
734C22—121no—
735C22—121no—
736C22—121no—
737C22—121no—
738C22—121no—
739C22—121no—
740C22—361no—
741C22—361no—
742C22—361no—
743C22C2×D3×D1211yescharacteristic
744C4—21no—
745C4—21no—
746C4—32no—
747C4—61no—
748C4—61no—
749C4—61no—
750C4—121no—
751C4—361no—
752C4—361no—
753C4—361no—
754C4D3×#23711yescharacteristic
755C4#6431511yescharacteristic
756C3—21no—
757C3#7996911yescharacteristic, complemented
758C3#8032111yescharacteristic, complemented
759C2—122no—
760C2—241no—
761C2—241no—
762C2—721no—
763C2#1059438211yescharacteristic
764C2#1059467811yescharacteristic
765C2D3×#90811yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4⋊C8C22
socleC22×C32C22×D4
hypercenterC4⋊C8D32
hypocenterC32#3366
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4⋊C8

Complements

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

NH ≅ G/Ntype
1. #10593929C2semidirect
2. #10593900C2semidirect
3. #10592546C2semidirect
4. C3×#4843C2semidirect
5. C3×#4828C2semidirect
6. #10590882C2semidirect
7. #10590878C2semidirect
8. #10590771C2semidirect
9. #10590767C2semidirect
10. Dic3×D24C2semidirect
11. #10590757C2semidirect
12. #10590753C2semidirect
13. #10590753C2semidirect
14. #10590346C2semidirect
15. #10590275C2semidirect
79. #4843D3semidirect
81. #4828D3semidirect
258. C3×D12#41semidirect
534. D12#237semidirect
671. C32#3366semidirect
757. C3#79969semidirect
758. C3#80321semidirect

Maximal subgroups

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

subgroupindex
#105939292
#105939002
#105925462
C3×#48432
C3×#48282
#105908822
#105908782
#105907712
#105907672
Dic3×D242
#105907572
#105907532
#105903462
#105902752
#803213
#799693