Finite Group Databasebeta

← #10876326

Subgroups — #10876326

Order 768.

1052 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D3×#380C211yesmaximal, characteristic
2#73862C211yesmaximal, characteristic
3C3×#2077C211yesmaximal, characteristic, complemented
4#70580C211yesmaximal, characteristic, complemented
5#70579C211yesmaximal, characteristic, complemented
6#69955C211yesmaximal, characteristic
7#69939C211yesmaximal, characteristic, complemented
8#69520C211yesmaximal, characteristic, complemented
9#69519C211yesmaximal, characteristic, complemented
10#68877C211yesmaximal, characteristic, complemented
11#68874C211yesmaximal, characteristic, complemented
12#68871C211yesmaximal, characteristic, complemented
13#68871C211yesmaximal, characteristic, complemented
14#68813C211yesmaximal, characteristic, complemented
15#68813C211yesmaximal, characteristic, complemented
16#27602—31nomaximal, Sylow
17C23×C4×D3C2211yescharacteristic
18C2×#892C2211yescharacteristic
19C2×#892C2211yescharacteristic
20C2×D3×C4⋊C4C2211yescharacteristic
21C2×D3×C4⋊C4C2211yescharacteristic
22C2×D3×C22⋊C4—21no—
23C2×C3×#106C2211yescharacteristic, complemented
24C2×C3×C22⋊C8C2211yescharacteristic
25C3×#380C2211yescharacteristic
26C3×#380C2211yescharacteristic
27#5212C2211yescharacteristic
28#5212C2211yescharacteristic
29C2×#830C2211yescharacteristic
30C2×(C2×D3)⋊C8C2211yescharacteristic
31C2×(C2×D3)⋊C8C2211yescharacteristic
32C2×(C2×D3)⋊C8C2211yescharacteristic
33C2×(C2×D3)⋊C8C2211yescharacteristic
34C2×#818C2211yescharacteristic, complemented
35#4987C2211yescharacteristic
36#4987C2211yescharacteristic
37#4987C2211yescharacteristic
38#4987C2211yescharacteristic
39C2×#808C2211yescharacteristic, complemented
40C2×#807C2211yescharacteristic, complemented
41#4955—21no—
42#4942—21no—
43Dic3×C22⋊C4—21no—
44#4667—21no—
45#4666—21no—
46#4664—21no—
47D3×#95—21no—
48C3×#340C2211yescharacteristic, complemented
49C3×#340C2211yescharacteristic, complemented
50C3×#340C2211yescharacteristic, complemented
51#4551C2211yescharacteristic, complemented
52#4551C2211yescharacteristic, complemented
53#4551C2211yescharacteristic, complemented
54#4529C2211yescharacteristic, complemented
55#4529C2211yescharacteristic, complemented
56#4529C2211yescharacteristic, complemented
57#4529C2211yescharacteristic, complemented
58#4529C2211yescharacteristic, complemented
59#4529C2211yescharacteristic, complemented
60#2280—31no—
61C2×#380—31no—
62#2077—31no—
63#2077D311yescharacteristic, complemented
64#2076—31no—
65#2076—31no—
66#1854—31no—
67#1854—31no—
68#1853—31no—
69#1852—31no—
70#1825—31no—
71#1825—31no—
72#1823—31no—
73#1823—31no—
74#1779—31no—
75C24×D3D411yescharacteristic
76C23×C3×C4C2311yescharacteristic
77C23×Dic3D411yescharacteristic
78C22×C4×D3—22no—
79C22×C4×D3—22no—
80C22×C4×D3—22no—
81C22×C4×D3—22no—
82C22×C4×D3—21no—
83C22×C4×D3—21no—
84C22×C4×D3—41no—
85C22×C4×D3—41no—
86C22×C4×D3D411yescharacteristic
87C22×C4×D3D411yescharacteristic
88C22×C4×D3C2311yescharacteristic
89C22×C4×D3C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C22×C3×C8C2311yescharacteristic
92C2×C3×C4⋊C4C2311yescharacteristic
93C2×C3×C4⋊C4C2311yescharacteristic
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C22⋊C4—21no—
97C2×C3×C22⋊C4—21no—
98C2×#217—21no—
99C2×#217—21no—
100C2×(C2×D3)⋊C4—21no—
101C2×(C2×D3)⋊C4—21no—
102C2×(C2×D3)⋊C4—21no—
103C2×(C2×D3)⋊C4—21no—
104C2×(C2×D3)⋊C4—21no—
105C2×(C2×D3)⋊C4—21no—
106C2×C4⋊Dic3C2311yescharacteristic
107C2×C4⋊Dic3C2311yescharacteristic
108C2×C4⋊Dic3C2311yescharacteristic
109C2×C4⋊Dic3C2311yescharacteristic
110C2×Dic3⋊C4—21no—
111C2×Dic3⋊C4—21no—
112C2×C4×Dic3—21no—
113C2×C4×Dic3—21no—
114C22×C3⋊C8C2311yescharacteristic
115C22×C3⋊C8C2311yescharacteristic
116#892—22no—
117#892—22no—
118#892—41no—
119#892—41no—
120D3×C4⋊C4—22no—
121D3×C4⋊C4—22no—
122D3×C4⋊C4—41no—
123D3×C4⋊C4—41no—
124D3×C22⋊C4—44no—
125C3×#106—41no—
126C3×C22⋊C8—41no—
127C3×#95—21no—
128C3×#95—21no—
129C3⋊#95—21no—
130C3⋊#95—21no—
131C3⋊#95—21no—
132C3⋊#95—21no—
133C3⋊#95—21no—
134C3⋊#95—21no—
135#830—41no—
136(C2×D3)⋊C8—22no—
137(C2×D3)⋊C8—22no—
138(C2×D3)⋊C8—22no—
139(C2×D3)⋊C8—22no—
140#818—41no—
141#808—41no—
142#807—41no—
143C24×C4—31no—
144C2×#117—31no—
145C2×#117—31no—
146C22×C4⋊C4—31no—
147C22×C4⋊C4—31no—
148C22×C22⋊C4—61no—
149C2×#107—31no—
150C2×#107—31no—
151C2×#106—31no—
152C2×#106C2×D311yescharacteristic, complemented
153C2×C22⋊C8—31no—
154C2×C22⋊C8—31no—
155C2×C22⋊C8—31no—
156C2×C22⋊C8—31no—
157C2×C22⋊C8—31no—
158C2×C22⋊C8C2×D311yescharacteristic
159#381—61no—
160#380—31no—
161#380—31no—
162#380—31no—
163#380—31no—
164#380—31no—
165#380—31no—
166#380—61no—
167#380—61no—
168#380C2×D311yescharacteristic
169#380C2×D311yescharacteristic
170#379—61no—
171C4×C22⋊C4—61no—
172C4×C22⋊C4—61no—
173C2×#95—61no—
174#340—31no—
175#340—31no—
176#340—31no—
177#340—31no—
178#340—31no—
179#340—31no—
180#340—31no—
181#340—31no—
182#340—31no—
183#340C2×D311yescharacteristic, complemented
184#340C2×D311yescharacteristic, complemented
185#340C2×D311yescharacteristic, complemented
186C24×C3C2×D411yescharacteristic
187C23×D3—22no—
188C23×D3—22no—
189C23×D3—22no—
190C23×D3—22no—
191C23×D3—22no—
192C23×D3—41no—
193C23×D3—41no—
194C23×D3C2×D411yescharacteristic
195C23×D3C2×D411yescharacteristic
196C22×C3×C4—21no—
197C22×C3×C4—21no—
198C22×C3×C4—21no—
199C22×C3×C4—21no—
200C22×C3×C4—21no—
201C22×C3×C4—21no—
202C22×C3×C4—21no—
203C22×C3×C4—21no—
204C22×C3×C4—21no—
205C22×C3×C4—21no—
206C22×C3×C4C2×D411yescharacteristic
207C22×C3×C4C2411yescharacteristic
208C22×Dic3—22no—
209C22×Dic3—22no—
210C22×Dic3—21no—
211C22×Dic3—21no—
212C22×Dic3—21no—
213C22×Dic3—21no—
214C22×Dic3—41no—
215C22×Dic3C2×D411yescharacteristic
216C22×Dic3C2×D411yescharacteristic
217C2×C4×D3—21no—
218C2×C4×D3—21no—
219C2×C4×D3—21no—
220C2×C4×D3—21no—
221C2×C4×D3—21no—
222C2×C4×D3—21no—
223C2×C4×D3—21no—
224C2×C4×D3—21no—
225C2×C4×D3—22no—
226C2×C4×D3—22no—
227C2×C4×D3—22no—
228C2×C4×D3—22no—
229C2×C4×D3—44no—
230C2×C4×D3—44no—
231C2×C4×D3—44no—
232C2×C4×D3—44no—
233C2×C4×D3—41no—
234C2×C4×D3—41no—
235C2×C4×D3—42no—
236C2×C4×D3—42no—
237C2×C4×D3—42no—
238C2×C4×D3—42no—
239C2×C4×D3—42no—
240C2×C4×D3—42no—
241C2×C4×D3#4112yes—
242C2×C4×D3#4112yes—
243C2×C4×D3#4112yes—
244C2×C4×D3#4112yes—
245C2×C3×C8—21no—
246C2×C3×C8—21no—
247C2×C3×C8—21no—
248C2×C3×C8—21no—
249C2×C3×C8—21no—
250C2×C3×C8—21no—
251C3×C4⋊C4—21no—
252C3×C4⋊C4—21no—
253C3×C4⋊C4—21no—
254C3×C4⋊C4—21no—
255C3×C4⋊C4—21no—
256C3×C4⋊C4—21no—
257C3×C4⋊C4—21no—
258C3×C4⋊C4—21no—
259C3×C22⋊C4—42no—
260C3×C22⋊C4—42no—
261#217—42no—
262#217—42no—
263(C2×D3)⋊C4—42no—
264(C2×D3)⋊C4—42no—
265(C2×D3)⋊C4—42no—
266(C2×D3)⋊C4—42no—
267(C2×D3)⋊C4—42no—
268(C2×D3)⋊C4—42no—
269C4⋊Dic3—21no—
270C4⋊Dic3—21no—
271C4⋊Dic3—21no—
272C4⋊Dic3—21no—
273C4⋊Dic3—21no—
274C4⋊Dic3—21no—
275C4⋊Dic3—21no—
276C4⋊Dic3—21no—
277Dic3⋊C4—42no—
278Dic3⋊C4—42no—
279C4×Dic3—42no—
280C4×Dic3—42no—
281C2×C3⋊C8—21no—
282C2×C3⋊C8—21no—
283C2×C3⋊C8—21no—
284C2×C3⋊C8—21no—
285C2×C3⋊C8—21no—
286C2×C3⋊C8—21no—
287C25—31no—
288C23×C4—31no—
289C23×C4—31no—
290C23×C4—31no—
291C23×C4—31no—
292C23×C4—31no—
293C23×C4—62no—
294C23×C4—62no—
295C23×C4—62no—
296C23×C4—62no—
297C23×C4—61no—
298C23×C4—61no—
299C23×C4—121no—
300C23×C4—121no—
301C23×C4C22×D311yescharacteristic
302C22×C8—31no—
303C22×C8—31no—
304C22×C8C22×D311yescharacteristic
305C22×C8C22×D311yescharacteristic
306#117—62no—
307#117—62no—
308#117—121no—
309#117—121no—
310C2×C4⋊C4—31no—
311C2×C4⋊C4—31no—
312C2×C4⋊C4—31no—
313C2×C4⋊C4—31no—
314C2×C4⋊C4—62no—
315C2×C4⋊C4—62no—
316C2×C4⋊C4—61no—
317C2×C4⋊C4—61no—
318C2×C4⋊C4—121no—
319C2×C4⋊C4—121no—
320C2×C4⋊C4C22×D311yescharacteristic
321C2×C4⋊C4C22×D311yescharacteristic
322C2×C4⋊C4C22×D311yescharacteristic
323C2×C4⋊C4C22×D311yescharacteristic
324C2×C22⋊C4—21no—
325C2×C22⋊C4—21no—
326C2×C22⋊C4—61no—
327C2×C22⋊C4—61no—
328C2×C22⋊C4—61no—
329C2×C22⋊C4—61no—
330C2×C22⋊C4—61no—
331C2×C22⋊C4—61no—
332C2×C22⋊C4—61no—
333C2×C22⋊C4—61no—
334C2×C22⋊C4—124no—
335C2×C42—61no—
336C2×C42—61no—
337#107—121no—
338#107—121no—
339#106—41no—
340#106—121no—
341C22⋊C8—41no—
342C22⋊C8—62no—
343C22⋊C8—62no—
344C22⋊C8—62no—
345C22⋊C8—62no—
346C22⋊C8—121no—
347#95—21no—
348#95—21no—
349#95—61no—
350#95—61no—
351#95—61no—
352#95—61no—
353#95—61no—
354#95—61no—
355C23×C3—21no—
356C23×C3—21no—
357C23×C3—21no—
358C23×C3—21no—
359C23×C3—21no—
360C23×C3—21no—
361C23×C3#13712yes—
362C23×C3C22×D411yescharacteristic
363C22×D3—21no—
364C22×D3—21no—
365C22×D3—21no—
366C22×D3—21no—
367C22×D3—28no—
368C22×D3—21no—
369C22×D3—21no—
370C22×D3—21no—
371C22×D3—21no—
372C22×D3—21no—
373C22×D3—21no—
374C22×D3—44no—
375C22×D3—44no—
376C22×D3—44no—
377C22×D3—44no—
378C22×D3—44no—
379C22×D3—44no—
380C22×D3#12312yes—
381C22×D3#12312yes—
382C22×D3#13512yes—
383C22×D3AGL(1,ℤ/8)12yes—
384C2×C3×C4—21no—
385C2×C3×C4—21no—
386C2×C3×C4—21no—
387C2×C3×C4—41no—
388C2×C3×C4—41no—
389C2×C3×C4—41no—
390C2×C3×C4—41no—
391C2×C3×C4—41no—
392C2×C3×C4—41no—
393C2×C3×C4—41no—
394C2×C3×C4—41no—
395C2×C3×C4—41no—
396C2×C3×C4—41no—
397C2×C3×C4—41no—
398C2×C3×C4—41no—
399C2×C3×C4—41no—
400C2×C3×C4—41no—
401C2×C3×C4—41no—
402C2×C3×C4—41no—
403C2×C3×C4C2×#4111yescharacteristic
404C2×C3×C4C2×#4111yescharacteristic
405C2×C3×C4C2×#4111yescharacteristic
406C2×C3×C4C2×#4111yescharacteristic
407C2×C3×C4H(5,𝔽2)11yescharacteristic
408C2×C3×C4H(5,𝔽2)11yescharacteristic
409C2×Dic3—21no—
410C2×Dic3—21no—
411C2×Dic3—21no—
412C2×Dic3—21no—
413C2×Dic3—44no—
414C2×Dic3—41no—
415C2×Dic3—41no—
416C2×Dic3—41no—
417C2×Dic3—41no—
418C2×Dic3—41no—
419C2×Dic3—41no—
420C2×Dic3—41no—
421C2×Dic3—41no—
422C2×Dic3—41no—
423C2×Dic3—41no—
424C2×Dic3—41no—
425C2×Dic3—41no—
426C2×Dic3#12312yes—
427C2×Dic3#12312yes—
428C4×D3—22no—
429C4×D3—22no—
430C4×D3—22no—
431C4×D3—22no—
432C4×D3—22no—
433C4×D3—22no—
434C4×D3—22no—
435C4×D3—22no—
436C4×D3—44no—
437C4×D3—44no—
438C4×D3—84no—
439C4×D3—84no—
440C3×C8—41no—
441C3×C8—41no—
442C3⋊C8—41no—
443C3⋊C8—41no—
444C24—31no—
445C24—31no—
446C24—62no—
447C24—62no—
448C24—62no—
449C24—62no—
450C24—62no—
451C24—121no—
452C24—121no—
453C24D3×D411yescharacteristic
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—31no—
465C22×C4—31no—
466C22×C4—32no—
467C22×C4—32no—
468C22×C4—32no—
469C22×C4—32no—
470C22×C4—62no—
471C22×C4—62no—
472C22×C4—62no—
473C22×C4—62no—
474C22×C4—62no—
475C22×C4—62no—
476C22×C4—61no—
477C22×C4—61no—
478C22×C4—61no—
479C22×C4—61no—
480C22×C4—61no—
481C22×C4—61no—
482C22×C4—61no—
483C22×C4—61no—
484C22×C4—61no—
485C22×C4—61no—
486C22×C4—61no—
487C22×C4—61no—
488C22×C4—121no—
489C22×C4—121no—
490C22×C4—124no—
491C22×C4—124no—
492C22×C4—124no—
493C22×C4—124no—
494C22×C4—122no—
495C22×C4—122no—
496C22×C4—122no—
497C22×C4—122no—
498C22×C4—122no—
499C22×C4—122no—
500C22×C4—121no—
501C22×C4D3×D411yescharacteristic
502C22×C4C23×D311yescharacteristic
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—61no—
510C2×C8—61no—
511C2×C8—61no—
512C2×C8—61no—
513C2×C8—61no—
514C2×C8—61no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—61no—
524C4⋊C4—61no—
525C4⋊C4—61no—
526C4⋊C4—61no—
527C4⋊C4—61no—
528C4⋊C4—61no—
529C4⋊C4—61no—
530C4⋊C4—61no—
531C4⋊C4—122no—
532C4⋊C4—122no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—122no—
536C22⋊C4—122no—
537C22⋊C4—122no—
538C22⋊C4—122no—
539C22⋊C4—122no—
540C22⋊C4—122no—
541C22⋊C4—122no—
542C22⋊C4—122no—
543C42—122no—
544C42—122no—
545C22×C3—22no—
546C22×C3—22no—
547C22×C3—22no—
548C22×C3—41no—
549C22×C3—41no—
550C22×C3—41no—
551C22×C3—41no—
552C22×C3C2×#12311yescharacteristic
553C22×C3C2×#12311yescharacteristic
554C22×C3#53411yescharacteristic
555C22×C3C2×#13511yescharacteristic
556C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
557C22×C3C2×#13711yescharacteristic
558C22×C3#57511yescharacteristic
559C2×D3—22no—
560C2×D3—22no—
561C2×D3—22no—
562C2×D3—22no—
563C2×D3—22no—
564C2×D3—22no—
565C2×D3—22no—
566C2×D3—22no—
567C2×D3—22no—
568C2×D3—416no—
569C2×D3—41no—
570C2×D3—41no—
571C2×D3—41no—
572C2×D3—41no—
573C2×D3#48214yes—
574C3×C4—41no—
575C3×C4—81no—
576C3×C4—81no—
577C3×C4—81no—
578C3×C4—81no—
579C3×C4#55111yescharacteristic
580C3×C4#55111yescharacteristic
581C3×C4#55111yescharacteristic
582C3×C4#55111yescharacteristic
583Dic3—22no—
584Dic3—22no—
585Dic3—81no—
586Dic3—81no—
587Dic3—81no—
588Dic3—81no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—32no—
596C23—32no—
597C23—32no—
598C23—32no—
599C23—68no—
600C23—61no—
601C23—61no—
602C23—61no—
603C23—61no—
604C23—61no—
605C23—61no—
606C23—61no—
607C23—61no—
608C23—61no—
609C23—61no—
610C23—124no—
611C23—124no—
612C23—124no—
613C23—124no—
614C23—124no—
615C23—124no—
616C23#91512yes—
617C23C2×D3×D411yescharacteristic
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—32no—
622C2×C4—32no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—61no—
640C2×C4—61no—
641C2×C4—61no—
642C2×C4—61no—
643C2×C4—62no—
644C2×C4—62no—
645C2×C4—62no—
646C2×C4—62no—
647C2×C4—62no—
648C2×C4—62no—
649C2×C4—62no—
650C2×C4—62no—
651C2×C4—124no—
652C2×C4—124no—
653C2×C4—124no—
654C2×C4—121no—
655C2×C4—121no—
656C2×C4—121no—
657C2×C4—121no—
658C2×C4—121no—
659C2×C4—121no—
660C2×C4—121no—
661C2×C4—121no—
662C2×C4—121no—
663C2×C4—121no—
664C2×C4—121no—
665C2×C4—121no—
666C2×C4—244no—
667C2×C4—244no—
668C2×C4#100411yescharacteristic
669C2×C4D3×#4111yescharacteristic
670C2×C4D3×#4111yescharacteristic
671C2×C4D3×#4111yescharacteristic
672C2×C4D3×#4111yescharacteristic
673C2×C4#100911yescharacteristic
674C8—41no—
675C8—41no—
676C8—121no—
677C8—121no—
678C2×C3—42no—
679C2×C3#248311yescharacteristic
680C2×C3C2×#48211yescharacteristic
681C2×C3#309111yescharacteristic
682C2×C3#309211yescharacteristic
683C2×C3#309511yescharacteristic
684C2×C3#319011yescharacteristic
685C2×C3#319411yescharacteristic
686D3—24no—
687D3—42no—
688C22—22no—
689C22—22no—
690C22—22no—
691C22—34no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—62no—
697C22—62no—
698C22—62no—
699C22—62no—
700C22—62no—
701C22—62no—
702C22—62no—
703C22—62no—
704C22—62no—
705C22—1216no—
706C22—121no—
707C22—121no—
708C22—121no—
709C22—121no—
710C22#560511yescharacteristic
711C22D3×#12311yescharacteristic
712C22D3×#12311yescharacteristic
713C22C2×#91511yescharacteristic
714C22D3×#13511yescharacteristic
715C22D3×AGL(1,ℤ/8)11yescharacteristic
716C22#577711yescharacteristic
717C4—41no—
718C4—62no—
719C4—62no—
720C4—81no—
721C4—81no—
722C4—81no—
723C4—81no—
724C4—241no—
725C4—241no—
726C4—241no—
727C4—241no—
728C4#565911yescharacteristic
729C4#567911yescharacteristic
730C4#570511yescharacteristic
731C4#570511yescharacteristic
732C3#2760211yescharacteristic, complemented, Sylow
733C2—42no—
734C2—64no—
735C2—122no—
736C2#7767711yescharacteristic
737C2#8066511yescharacteristic
738C2#8081211yescharacteristic
739C2#8132511yescharacteristic
740C2D3×#48211yescharacteristic
741C2#8142811yescharacteristic
742C2#8151511yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2077C2
socleC23×C3C22×D4
prime radicalC24×D3D4
hypercenter#2077D3
hypocenterC3#27602
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ #2077

Complements

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

NH ≅ G/Ntype
3. C3×#2077C2semidirect
4. #70580C2semidirect
5. #70579C2semidirect
7. #69939C2semidirect
8. #69520C2semidirect
9. #69519C2semidirect
10. #68877C2semidirect
11. #68874C2semidirect
12. #68871C2semidirect
13. #68871C2semidirect
14. #68813C2semidirect
15. #68813C2semidirect
23. C2×C3×#106C22semidirect
34. C2×#818C22semidirect
39. C2×#808C22semidirect
40. C2×#807C22semidirect
48. C3×#340C22semidirect
49. C3×#340C22semidirect
50. C3×#340C22semidirect
51. #4551C22semidirect
52. #4551C22semidirect
53. #4551C22semidirect
54. #4529C22semidirect
55. #4529C22semidirect
56. #4529C22semidirect
57. #4529C22semidirect
58. #4529C22semidirect
59. #4529C22semidirect
63. #2077D3semidirect
152. C2×#106C2×D3semidirect
183. #340C2×D3semidirect
184. #340C2×D3semidirect
185. #340C2×D3semidirect
732. C3#27602semidirect

Maximal subgroups

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

subgroupindex
D3×#3802
#738622
C3×#20772
#705802
#705792
#699552
#699392
#695202
#695192
#688772
#688742
#688712
#688132
#276023