Finite Group Databasebeta

← #11889470

Subgroups — #11889470

Order 1152.

806 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595380C211yesmaximal, characteristic
2#10594526C211yesmaximal, characteristic
3#10592488C211yesmaximal, characteristic, complemented
4C3×#4816C211yesmaximal, characteristic, complemented
5C3×#4813C211yesmaximal, characteristic, complemented
6#10591653C211yesmaximal, characteristic, complemented
7#10591653C211yesmaximal, characteristic, complemented
8#10591633C211yesmaximal, characteristic, complemented
9#10590948C211yesmaximal, characteristic, complemented
10#10590904C211yesmaximal, characteristic, complemented
11#10590722C211yesmaximal, characteristic
12D3×#816C211yesmaximal, characteristic, complemented
13#10590448C211yesmaximal, characteristic, complemented
14#10590439C211yesmaximal, characteristic, complemented
15#10590434C211yesmaximal, characteristic, complemented
16#80915—31nomaximal
17#80782—31nomaximal
18C2×D3×Dic6C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20Q8×C3⋊Dic3C2211yescharacteristic
21C2×#3756C2211yescharacteristic
22#64096C2211yescharacteristic
23C3×#946C2211yescharacteristic
24C3×#946C2211yescharacteristic
25C2×C3×#216C2211yescharacteristic
26C2×C3×#216C2211yescharacteristic
27C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
28C2×C3×D3×C8C2211yescharacteristic
29C3×#897C2211yescharacteristic
30C3×#897C2211yescharacteristic
31#63919—21no—
32#63902—21no—
33C4×#625C2211yescharacteristic
34#63899—21no—
35#63899—21no—
36#63891—21no—
37D3×C4⋊Dic3C2211yescharacteristic
38#63878—21no—
39#63873C2211yescharacteristic
40#63872C2211yescharacteristic
41#63862—21no—
42#63845—21no—
43#63841C2211yescharacteristic
44C32×#103C2211yescharacteristic
45#63643C2211yescharacteristic
46#63642C2211yescharacteristic
47#63635C2211yescharacteristic
48C3×#816C2211yescharacteristic
49C3×#816C2211yescharacteristic
50C3×#808C2211yescharacteristic
51C3×#807C2211yescharacteristic
52#63572C2211yescharacteristic
53#63567C2211yescharacteristic
54#63567C2211yescharacteristic
55#63566C2211yescharacteristic
56#63566C2211yescharacteristic
57#63565C2211yescharacteristic
58#63565C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
61#5642—31no—
62#5639—31no—
63#5632—31no—
64#5632—31no—
65C3×#470—31no—
66C3×#467—31no—
67#5186—31no—
68#5186—31no—
69#5182—31no—
70#5182—31no—
71#5127—31no—
72#5120—31no—
73#5111—31no—
74C2×#816—31no—
75#5050—31no—
76#5050—31no—
77#5045—31no—
78#5043—31no—
79#4888—31no—
80#4877—31no—
81#4862—31no—
82#4857—31no—
83#4816D311yescharacteristic, complemented
84#4813D311yescharacteristic, complemented
85#4802—31no—
86D3×#103—31no—
87#4797—31no—
88#4797—31no—
89#4789—31no—
90#4789—31no—
91#4789—61no—
92C2×C32×Q8C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C2×C3×C4×D3C2311yescharacteristic
95C2×C3×C4×D3C2311yescharacteristic
96C2×C3×Dic6C2311yescharacteristic
97C2×C3×Dic6C2311yescharacteristic
98C2×#627—21no—
99C2×#627—21no—
100C2×#625D411yescharacteristic
101C2×D3×Dic3—21no—
102C2×D3×Dic3—21no—
103C2×D3×Dic3—21no—
104D3×Dic6—22no—
105D3×Dic6—22no—
106D3×Dic6—41no—
107D3×Dic6—41no—
108C2×C32×C8C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110#3756—22no—
111C4⋊(C3⋊Dic3)—21no—
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113#3750—21no—
114C4×C3⋊Dic3—21no—
115C4×C3⋊Dic3—21no—
116C4×C3⋊Dic3C2311yescharacteristic
117C2×C3⋊(C3⋊C8)C2311yescharacteristic
118C3×#216—41no—
119C3×#216—41no—
120C3×(C2×D3)⋊C4—21no—
121C3×(C2×D3)⋊C4—21no—
122C3×(C2×D3)⋊C4—21no—
123C3×(C2×D3)⋊C4—21no—
124C3×C4⋊Dic3—21no—
125C3×C4⋊Dic3—21no—
126C3×C4⋊Dic3C2311yescharacteristic
127C3×C4⋊Dic3C2311yescharacteristic
128C3×Dic3⋊C4—21no—
129C3×Dic3⋊C4—21no—
130C2×C3×C3⋊C8C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132C3×ΓL(1,𝔽25)—41no—
133C3×D3×C8—41no—
134#3724—21no—
135#3724—21no—
136#3724D411yescharacteristic
137Dic3⋊Dic3—21no—
138Dic3⋊Dic3—21no—
139Dic3⋊Dic3—21no—
140(C2×D3)⋊Dic3—21no—
141(C2×D3)⋊Dic3D411yescharacteristic
142(C2×D3)⋊Dic3D411yescharacteristic
143Dic32—21no—
144#3312—91noSylow
145C2×D3×Q8—31no—
146C2×D3×Q8—31no—
147C22×Dic6—31no—
148C22×Dic6—31no—
149C2×C3×Q16—31no—
150C2×C3×Q16—31no—
151C2×C3×M16—31no—
152C22×C3×C8—31no—
153C3×C22⋊Q8—31no—
154C3×C22⋊Q8—31no—
155C3×C22⋊Q8—31no—
156C3×C22⋊Q8—31no—
157#946C2×D311yescharacteristic
158#946C2×D311yescharacteristic
159Q8×Dic3—31no—
160Q8×Dic3—31no—
161Q8×Dic3—61no—
162#944—31no—
163#944—31no—
164C2×#216—31no—
165C2×#216—31no—
166C2×#216—61no—
167C2×#216C2×D311yescharacteristic
168C2×#216C2×D311yescharacteristic
169C4×#67—31no—
170C4×#67—31no—
171#926—31no—
172C2×C4⋊Dic3—31no—
173C2×ΓL(1,𝔽25)C2×D311yescharacteristic
174C2×D3×C8C2×D311yescharacteristic
175#898—61no—
176#897C2×D311yescharacteristic
177#897C2×D311yescharacteristic
178#896—61no—
179#896—61no—
180#892—31no—
181#892—61no—
182D3×C4⋊C4—31no—
183#890—31no—
184#890—31no—
185#890—61no—
186#889—61no—
187#888—61no—
188#888—61no—
189#887—31no—
190#887—31no—
191#887—61no—
192#886—61no—
193#883—61no—
194#67⋊C4—61no—
195#67⋊C4—61no—
196#879—61no—
197#878—61no—
198#878—61no—
199#877—61no—
200C3×#107—31no—
201C3×#106—31no—
202C3×#103—21no—
203C3×#103—31no—
204C3×#103—31no—
205C3×#103C2×D311yescharacteristic
206C3×#103C2×D311yescharacteristic
207#835—31no—
208#835—31no—
209#835—31no—
210#835—31no—
211#830—31no—
212#830—31no—
213(C2×D3)⋊C8—31no—
214(C2×D3)⋊C8—31no—
215#816—31no—
216#816—31no—
217#816—31no—
218#816—31no—
219#816—31no—
220#816—31no—
221#816—61no—
222#816C2×D311yescharacteristic
223#816C2×D311yescharacteristic
224#815—31no—
225#815—31no—
226#815—61no—
227Dic3⋊C8—31no—
228Dic3⋊C8—31no—
229#810—31no—
230#810—31no—
231#810—31no—
232#810—31no—
233#808—31no—
234#808—31no—
235#808—61no—
236#808C2×D311yescharacteristic
237#807C2×D311yescharacteristic
238C22×C3×D3C2×D411yescharacteristic
239C22×C3×D3C2×D411yescharacteristic
240C32×Q8—21no—
241C32×Q8—21no—
242C2×C32×C4—21no—
243C2×C32×C4—21no—
244C2×C32×C4C2411yescharacteristic
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—21no—
247C2×C3⋊Dic3C2×D411yescharacteristic
248C2×C3⋊Dic3C2×D411yescharacteristic
249#634—21no—
250#634#4112yes—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C3×C4×D3—21no—
258C3×C4×D3—21no—
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265#627—42no—
266#627—42no—
267#625—22no—
268D3×Dic3—42no—
269D3×Dic3—42no—
270D3×Dic3—42no—
271C32×C8—21no—
272C3⋊(C3⋊C8)—21no—
273C3×C3⋊C8—21no—
274C3×C3⋊C8—21no—
275#552—91no—
276D4×Q8—91no—
277#491—91no—
278#485—91no—
279#483—91no—
280#479—91no—
281#470—31no—
282#467—31no—
283#462—91no—
284#451—91no—
285#451—91no—
286#441—91no—
287#435—91no—
288#419—91no—
289C2×#103—91no—
290C2×C3×Q8—21no—
291C2×C3×Q8—31no—
292C2×C3×Q8—31no—
293C2×C3×Q8C22×D311yescharacteristic
294C2×C3×Q8C22×D311yescharacteristic
295C22×C3×C4—31no—
296C22×C3×C4—31no—
297C2×#67—31no—
298C2×#67—31no—
299C22×Dic3—61no—
300C22×Dic3—61no—
301C22×Dic3—61no—
302D3×Q8—62no—
303D3×Q8—62no—
304D3×Q8—121no—
305D3×Q8—121no—
306C2×C4×D3—61no—
307C2×C4×D3—61no—
308C2×C4×D3—61no—
309C2×C4×D3C22×D311yescharacteristic
310C2×C4×D3C22×D311yescharacteristic
311C2×Dic6—31no—
312C2×Dic6—31no—
313C2×Dic6—61no—
314C2×Dic6—62no—
315C2×Dic6—62no—
316C2×Dic6—61no—
317C2×Dic6—61no—
318C2×Dic6—61no—
319C2×Dic6—61no—
320C2×Dic6—121no—
321C2×Dic6—121no—
322C2×Dic6C22×D311yescharacteristic
323C2×Dic6C22×D311yescharacteristic
324C3×Q16—121no—
325C3×Q16—121no—
326C3×M16—121no—
327C2×C3×C8—21no—
328C2×C3×C8—31no—
329C2×C3×C8—31no—
330C2×C3×C8—121no—
331C2×C3×C8C22×D311yescharacteristic
332C2×C3×C8C22×D311yescharacteristic
333C3×C4⋊C4—21no—
334C3×C4⋊C4—31no—
335C3×C4⋊C4—31no—
336C3×C4⋊C4—61no—
337C3×C4⋊C4—61no—
338C3×C4⋊C4—61no—
339C3×C4⋊C4—61no—
340C3×C4⋊C4C22×D311yescharacteristic
341C3×C4⋊C4C22×D311yescharacteristic
342C3×C22⋊C4—61no—
343C3×C22⋊C4—61no—
344C3×C22⋊C4—61no—
345C3×C22⋊C4—61no—
346#217—31no—
347#217—31no—
348#217—61no—
349#216—41no—
350#216—41no—
351#216—62no—
352#216—62no—
353#216—64no—
354(C2×D3)⋊C4—21no—
355(C2×D3)⋊C4—21no—
356(C2×D3)⋊C4—21no—
357(C2×D3)⋊C4—21no—
358(C2×D3)⋊C4—31no—
359(C2×D3)⋊C4—31no—
360(C2×D3)⋊C4—61no—
361C4⋊Dic3—21no—
362C4⋊Dic3—21no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—121no—
372C4⋊Dic3C22×D311yescharacteristic
373C4⋊Dic3C22×D311yescharacteristic
374Dic3⋊C4—21no—
375Dic3⋊C4—21no—
376Dic3⋊C4—31no—
377Dic3⋊C4—31no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387Dic3⋊C4—121no—
388C4×Dic3—31no—
389C4×Dic3—31no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—61no—
395C4×Dic3—61no—
396C4×Dic3—61no—
397C4×Dic3—121no—
398C4×Dic3—121no—
399C2×C3⋊C8—31no—
400C2×C3⋊C8—31no—
401C2×C3⋊C8—61no—
402C2×C3⋊C8C22×D311yescharacteristic
403C2×C3⋊C8C22×D311yescharacteristic
404ΓL(1,𝔽25)—41no—
405D3×C8—41no—
406C22×C32C22×D411yescharacteristic
407C2×C3×D3—21no—
408C2×C3×D3—21no—
409C2×C3×D3—21no—
410C2×C3×D3—21no—
411C2×C3×D3—21no—
412C2×C3×D3#13712yes—
413C32×C4—41no—
414C32×C4—41no—
415C32×C4C2×#4111yescharacteristic
416C32×C4H(5,𝔽2)11yescharacteristic
417C3⋊Dic3—22no—
418C3⋊Dic3—21no—
419C3⋊Dic3—21no—
420C3⋊Dic3—41no—
421C3×Dic3—21no—
422C3×Dic3—21no—
423C3×Dic3—41no—
424C3×Dic3—41no—
425C3×Dic3—41no—
426C3×Dic3—41no—
427C22×Q8—91no—
428C22×Q8—91no—
429C2×Q16—31no—
430C2×Q16—31no—
431C2×Q16—91no—
432C2×M16—31no—
433C22×C8—31no—
434C4⋊Q8—91no—
435C4⋊Q8—181no—
436#126—181no—
437#125—91no—
438#125—181no—
439#123—181no—
440C22⋊Q8—31no—
441C22⋊Q8—31no—
442C22⋊Q8—31no—
443C22⋊Q8—31no—
444C22⋊Q8—181no—
445C22⋊Q8—181no—
446C4×Q8—91no—
447C4×Q8—91no—
448C4×D4—91no—
449C4×D4—181no—
450#117—91no—
451#117—181no—
452C2×C4⋊C4—91no—
453#107—31no—
454#106—31no—
455#106—91no—
456C4⋊C8—91no—
457#103—31no—
458#103—31no—
459#103—91no—
460#103—91no—
461#103—91no—
462#103—91no—
463#103—91no—
464#103—91no—
465#103—91no—
466#103D3211yescharacteristic
467C22⋊C8—91no—
468C22⋊C8—91no—
469#97—91no—
470C23×C3—31no—
471C23×C3—31no—
472C22×D3D3×D411yescharacteristic
473C22×D3D3×D411yescharacteristic
474C3×Q8—22no—
475C3×Q8—21no—
476C3×Q8—21no—
477C3×Q8—21no—
478C3×Q8—21no—
479C3×Q8—41no—
480C3×Q8—61no—
481C3×Q8—61no—
482C3×Q8—61no—
483C3×Q8—61no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—31no—
490C2×C3×C4—31no—
491C2×C3×C4—41no—
492C2×C3×C4—41no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4C23×D311yescharacteristic
502C2×C3×C4C23×D311yescharacteristic
503#67—62no—
504#67—62no—
505C2×Dic3—21no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—31no—
510C2×Dic3—31no—
511C2×Dic3—31no—
512C2×Dic3—31no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—121no—
520C2×Dic3—121no—
521C2×Dic3—122no—
522C2×Dic3—122no—
523C2×Dic3—122no—
524C2×Dic3D3×D411yescharacteristic
525C2×Dic3D3×D411yescharacteristic
526C4×D3—21no—
527C4×D3—21no—
528C4×D3—21no—
529C4×D3—21no—
530C4×D3—122no—
531C4×D3—122no—
532C4×D3—122no—
533Dic6—21no—
534Dic6—21no—
535Dic6—21no—
536Dic6—21no—
537Dic6—32no—
538Dic6—32no—
539Dic6—62no—
540Dic6—61no—
541Dic6—61no—
542Dic6—121no—
543Dic6—122no—
544Dic6—122no—
545Dic6—122no—
546Dic6—122no—
547C3×C8—21no—
548C3×C8—21no—
549C3×C8—41no—
550C3×C8—61no—
551C3×C8—61no—
552C3⋊C8—21no—
553C3⋊C8—21no—
554C3⋊C8—62no—
555C3⋊C8—61no—
556C3⋊C8—61no—
557C2×C32#54611yescharacteristic
558C2×C32C2×#13711yescharacteristic
559C2×C32#57811yescharacteristic
560C3×D3—22no—
561C3×D3—41no—
562C2×Q8—31no—
563C2×Q8—31no—
564C2×Q8—91no—
565C2×Q8—181no—
566C2×Q8—181no—
567C2×Q8—182no—
568C2×Q8—182no—
569C2×Q8—361no—
570C2×Q8—361no—
571C2×Q8C2×D3211yescharacteristic
572C2×D4—91no—
573C22×C4—31no—
574C22×C4—31no—
575C22×C4—181no—
576C22×C4—181no—
577C22×C4—181no—
578Q16—121no—
579Q16—121no—
580Q16—182no—
581M16—121no—
582C2×C8—31no—
583C2×C8—31no—
584C2×C8—91no—
585C2×C8—121no—
586C2×C8C2×D3211yescharacteristic
587C4⋊C4—31no—
588C4⋊C4—31no—
589C4⋊C4—61no—
590C4⋊C4—61no—
591C4⋊C4—61no—
592C4⋊C4—61no—
593C4⋊C4—91no—
594C4⋊C4—91no—
595C4⋊C4—181no—
596C4⋊C4—181no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4C2×D3211yescharacteristic
603C22⋊C4—61no—
604C22⋊C4—61no—
605C22⋊C4—61no—
606C22⋊C4—61no—
607C22⋊C4—91no—
608C22⋊C4—91no—
609C22⋊C4—181no—
610C42—91no—
611C42—181no—
612C42—181no—
613C42—181no—
614C22×C3—21no—
615C22×C3—32no—
616C22×C3—61no—
617C22×C3—61no—
618C22×C3—61no—
619C22×C3—61no—
620C22×C3—61no—
621C22×C3C2×D3×D411yescharacteristic
622C22×C3C2×D3×D411yescharacteristic
623C2×D3—21no—
624C2×D3—21no—
625C2×D3—21no—
626C2×D3—21no—
627C2×D3—21no—
628C2×D3#91812yes—
629C3×C4—21no—
630C3×C4—21no—
631C3×C4—42no—
632C3×C4—41no—
633C3×C4—41no—
634C3×C4—41no—
635C3×C4—41no—
636C3×C4—61no—
637C3×C4—61no—
638C3×C4—81no—
639C3×C4—121no—
640C3×C4—121no—
641C3×C4—121no—
642C3×C4—121no—
643C3×C4#100411yescharacteristic
644C3×C4#100411yescharacteristic
645C3×C4D3×#4111yescharacteristic
646C3×C4D3×#4111yescharacteristic
647Dic3—21no—
648Dic3—21no—
649Dic3—41no—
650Dic3—41no—
651Dic3—41no—
652Dic3—41no—
653Dic3—61no—
654Dic3—61no—
655Dic3—61no—
656Dic3—61no—
657Dic3—62no—
658Dic3—62no—
659Dic3—122no—
660Dic3—121no—
661Dic3—121no—
662Dic3—121no—
663Dic3—121no—
664Dic3—241no—
665C32#331211yescharacteristic, complemented, Sylow
666C23—31no—
667C23—31no—
668Q8—21no—
669Q8—21no—
670Q8—61no—
671Q8—61no—
672Q8—61no—
673Q8—61no—
674Q8—92no—
675Q8—181no—
676Q8—362no—
677Q8—362no—
678D4—182no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—31no—
682C2×C4—31no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—91no—
692C2×C4—91no—
693C2×C4—181no—
694C2×C4—181no—
695C2×C4—362no—
696C2×C4—362no—
697C2×C4—362no—
698C2×C4C22×D3211yescharacteristic
699C8—21no—
700C8—61no—
701C8—61no—
702C8—181no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—21no—
706C2×C3—62no—
707C2×C3—121no—
708C2×C3#561011yescharacteristic
709C2×C3#561011yescharacteristic
710C2×C3C2×#91811yescharacteristic
711C2×C3#577111yescharacteristic
712C2×C3D3×#13711yescharacteristic
713C2×C3#577911yescharacteristic
714D3—22no—
715D3—41no—
716C22—32no—
717C22—61no—
718C22—61no—
719C22—61no—
720C22—61no—
721C22—61no—
722C22D32×D411yescharacteristic
723C4—41no—
724C4—41no—
725C4—61no—
726C4—61no—
727C4—121no—
728C4—121no—
729C4—121no—
730C4—121no—
731C4—181no—
732C4—181no—
733C4—182no—
734C4—361no—
735C4#6430611yescharacteristic
736C4#6431311yescharacteristic
737C3—21no—
738C3#8078211yescharacteristic, complemented
739C3#8091511yescharacteristic, complemented
740C2—62no—
741C2—121no—
742C2#1059427611yescharacteristic
743C2#1059475611yescharacteristic
744C2D3×#91811yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radicalC2×#625D4
hypercenter#103D32
hypocenterC32#3312
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

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

NH ≅ G/Ntype
3. #10592488C2semidirect
4. C3×#4816C2semidirect
5. C3×#4813C2semidirect
6. #10591653C2semidirect
7. #10591653C2semidirect
8. #10591633C2semidirect
9. #10590948C2semidirect
10. #10590904C2semidirect
12. D3×#816C2semidirect
13. #10590448C2semidirect
14. #10590439C2semidirect
15. #10590434C2semidirect
83. #4816D3semidirect
84. #4813D3semidirect
665. C32#3312semidirect
738. C3#80782semidirect
739. C3#80915semidirect

Maximal subgroups

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

subgroupindex
#105953802
#105945262
#105924882
C3×#48162
C3×#48132
#105916532
#105916332
#105909482
#105909042
#105907222
D3×#8162
#105904482
#105904392
#105904342
#809153
#807823