Finite Group Databasebeta

← #10829934

Subgroups — #10829934

Order 768.

1150 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5568C211yesmaximal, characteristic, complemented
2C2×#4872C211yesmaximal, characteristic
3C2×#4818C211yesmaximal, characteristic, complemented
4#76059C211yesmaximal, characteristic, complemented
5C3×#1863C211yesmaximal, characteristic, complemented
6#71633C211yesmaximal, characteristic, complemented
7#70642C211yesmaximal, characteristic, complemented
8#70279C211yesmaximal, characteristic, complemented
9#70277C211yesmaximal, characteristic
10#70225C211yesmaximal, characteristic, complemented
11#69628C211yesmaximal, characteristic, complemented
12#68909C211yesmaximal, characteristic, complemented
13#68892C211yesmaximal, characteristic, complemented
14#68675C211yesmaximal, characteristic
15#68619C211yesmaximal, characteristic, complemented
16#24185—31nomaximal, Sylow
17C2×C3×C4×Q8C2211yescharacteristic
18C2×#947C2211yescharacteristic
19C2×#944C2211yescharacteristic
20C22×#215C2211yescharacteristic
21C22×D24C2211yescharacteristic
22C22×#204C2211yescharacteristic
23#5568—24no—
24#5568—24no—
25C2×#898—21no—
26C2×#896—21no—
27C2×#896—21no—
28C2×#893C2211yescharacteristic
29C2×#893C2211yescharacteristic
30C2×#887C2211yescharacteristic
31C2×#876—21no—
32C2×#875C2211yescharacteristic
33C2×#872—21no—
34C2×C4×Dic6C2211yescharacteristic
35C2×C3×#107C2211yescharacteristic
36C2×C3×#103C2211yescharacteristic
37C2×C3×#103C2211yescharacteristic
38C3×#389C2211yescharacteristic
39C2×#835C2211yescharacteristic
40C2×#821C2211yescharacteristic
41C2×#816C2211yescharacteristic
42C2×Dic3⋊C8C2211yescharacteristic
43C2×C8×Dic3C2211yescharacteristic
44#4994—21no—
45#4988C2211yescharacteristic
46#4975C2211yescharacteristic
47#4972C2211yescharacteristic
48C2×#810C2211yescharacteristic
49C2×#810C2211yescharacteristic
50C2×#809C2211yescharacteristic
51C2×#809C2211yescharacteristic
52C2×#809C2211yescharacteristic
53#4939C2211yescharacteristic
54#4872—24no—
55#4818—24no—
56#4676—21no—
57#4667—21no—
58C3×#340C2211yescharacteristic
59C3×#336C2211yescharacteristic
60#4550C2211yescharacteristic
61#4550C2211yescharacteristic
62#4529C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#556—31no—
65C2×#461—31no—
66C2×C4×D8—31no—
67#2538—31no—
68#2042—31no—
69#2042—31no—
70#2012—31no—
71#2012—31no—
72#1984—31no—
73#1956—31no—
74#1880—31no—
75#1880—31no—
76#1863—31no—
77#1863D311yescharacteristic, complemented
78#1802—31no—
79C22×C3×Q8C2311yescharacteristic
80C22×D12C2311yescharacteristic
81C22×D12C2311yescharacteristic
82C22×C4×D3—21no—
83C22×C4×D3—21no—
84C22×Dic6D411yescharacteristic
85C22×Dic6C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C3×C4×Q8—22no—
89C3×C4×Q8—22no—
90C2×C3×C4⋊C4—21no—
91C2×C3×C4⋊C4—21no—
92C2×C3×C4⋊C4C2311yescharacteristic
93C2×C3×C4⋊C4C2311yescharacteristic
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C42—21no—
96C2×C3×C42C2311yescharacteristic
97#947—22no—
98#947—22no—
99#944—22no—
100#944D414yes—
101C2×#215—22no—
102C2×#215—22no—
103C2×#215—41no—
104C2×(C2×D3)⋊C4—21no—
105C2×(C2×D3)⋊C4—21no—
106C2×(C2×D3)⋊C4—21no—
107C2×(C2×D3)⋊C4—21no—
108C2×(C2×D3)⋊C4—21no—
109C2×(C2×D3)⋊C4—21no—
110C2×(C2×D3)⋊C4—21no—
111C2×(C2×D3)⋊C4—21no—
112C2×(C2×D3)⋊C4—21no—
113C2×(C2×D3)⋊C4—21no—
114C2×C4⋊Dic3D411yescharacteristic
115C2×C4⋊Dic3C2311yescharacteristic
116C2×Dic3⋊C4—21no—
117C2×Dic3⋊C4—21no—
118C2×Dic3⋊C4—21no—
119C2×Dic3⋊C4—21no—
120C2×Dic3⋊C4—21no—
121C2×Dic3⋊C4—21no—
122C2×Dic3⋊C4D411yescharacteristic
123C2×Dic3⋊C4D411yescharacteristic
124C2×C4×Dic3—21no—
125C2×C4×Dic3C2311yescharacteristic
126C2×C4×Dic3C2311yescharacteristic
127C22×C3⋊C8C2311yescharacteristic
128C22×C3⋊C8C2311yescharacteristic
129C2×D24—22no—
130C2×D24—22no—
131C2×D24—22no—
132C2×#204—22no—
133C2×#204—22no—
134C2×#204—41no—
135#898—28no—
136#896—28no—
137#896—44no—
138#893—22no—
139#893—22no—
140#893—22no—
141#893D414yes—
142#887—22no—
143#887—22no—
144#876—28no—
145#875—22no—
146#875—22no—
147#872—28no—
148C4×Dic6—22no—
149C4×Dic6—22no—
150C3×#107—22no—
151C3×#103—22no—
152C3×#103—22no—
153C3×#95—21no—
154#835—41no—
155C3⋊#95—21no—
156#821—41no—
157#816—22no—
158Dic3⋊C8—22no—
159C8×Dic3—22no—
160#810—22no—
161#810—41no—
162#809—22no—
163#809—22no—
164#809—41no—
165C22×SD16—31no—
166C22×SD16—31no—
167C22×D8—31no—
168#556—64no—
169#556—64no—
170C2×C4⋊Q8—31no—
171C2×#126—61no—
172C2×#126—61no—
173C2×#124—31no—
174C2×#124—31no—
175C2×C22⋊Q8—61no—
176C2×C22⋊Q8—61no—
177C2×C4×Q8—31no—
178C2×C4×Q8—31no—
179C2×C4×Q8C2×D311yescharacteristic
180C2×C4×D4—31no—
181C2×C4×D4—31no—
182C2×#117—61no—
183#461—64no—
184C4×D8—64no—
185C2×#107C2×D311yescharacteristic
186C2×C4⋊C8—31no—
187C2×#103—31no—
188C2×#103—31no—
189C2×#103—31no—
190C2×#103—31no—
191C2×#103C2×D311yescharacteristic
192C2×#103C2×D311yescharacteristic
193C2×#102—31no—
194C2×#102—31no—
195C2×#102—31no—
196C2×#102—31no—
197C2×C4×C8—31no—
198#396—61no—
199#396—61no—
200#390—31no—
201#390—31no—
202#389—31no—
203#389C2×D311yescharacteristic
204#384—31no—
205#380—61no—
206#340—31no—
207#340C2×D311yescharacteristic
208#336—31no—
209#336—31no—
210#336—31no—
211#336C2×D311yescharacteristic
212C23×D3—21no—
213C23×D3—21no—
214C2×C3×Q8—21no—
215C2×C3×Q8—21no—
216C2×C3×Q8—21no—
217C2×C3×Q8—21no—
218C2×C3×Q8—21no—
219C2×C3×Q8C2×D412yes—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4—21no—
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2411yescharacteristic
227C22×Dic3—21no—
228C22×Dic3—21no—
229C22×Dic3C2×D411yescharacteristic
230C22×Dic3C2×D411yescharacteristic
231C22×Dic3C2×D411yescharacteristic
232C22×Dic3C2×D411yescharacteristic
233C2×D12—21no—
234C2×D12—21no—
235C2×D12—21no—
236C2×D12—21no—
237C2×D12—21no—
238C2×D12—21no—
239C2×D12—21no—
240C2×D12—21no—
241C2×D12—21no—
242C2×D12—21no—
243C2×D12C2×D412yes—
244C2×D12#4112yes—
245C2×C4×D3—24no—
246C2×C4×D3—42no—
247C2×C4×D3—42no—
248C2×C4×D3—42no—
249C2×C4×D3—42no—
250C2×C4×D3—42no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6—21no—
254C2×Dic6—21no—
255C2×Dic6—21no—
256C2×Dic6—22no—
257C2×Dic6—22no—
258C2×Dic6—22no—
259C2×Dic6C2×D412yes—
260C2×C3×C8—21no—
261C2×C3×C8—21no—
262C2×C3×C8—21no—
263C2×C3×C8—21no—
264C2×C3×C8—21no—
265C2×C3×C8#4112yes—
266C3×C4⋊C4—24no—
267C3×C4⋊C4—21no—
268C3×C4⋊C4—21no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4—21no—
271C3×C4⋊C4—21no—
272C3×C4⋊C4—42no—
273C3×C4⋊C4C2×D412yes—
274C3×C42—24no—
275C3×C42—21no—
276C3×C42—21no—
277#215—44no—
278(C2×D3)⋊C4—24no—
279(C2×D3)⋊C4—24no—
280(C2×D3)⋊C4—24no—
281(C2×D3)⋊C4—24no—
282(C2×D3)⋊C4—24no—
283(C2×D3)⋊C4—42no—
284(C2×D3)⋊C4—42no—
285(C2×D3)⋊C4—42no—
286(C2×D3)⋊C4—81no—
287(C2×D3)⋊C4—81no—
288C4⋊Dic3—22no—
289C4⋊Dic3—21no—
290C4⋊Dic3—21no—
291Dic3⋊C4—24no—
292Dic3⋊C4—22no—
293Dic3⋊C4—22no—
294Dic3⋊C4—24no—
295Dic3⋊C4—24no—
296Dic3⋊C4—42no—
297Dic3⋊C4—42no—
298Dic3⋊C4—81no—
299C4×Dic3—24no—
300C4×Dic3—21no—
301C4×Dic3—21no—
302C4×Dic3C2×D412yes—
303C4×Dic3C2×D412yes—
304C2×C3⋊C8—21no—
305C2×C3⋊C8—21no—
306C2×C3⋊C8—21no—
307C2×C3⋊C8—21no—
308C2×C3⋊C8—21no—
309C2×C3⋊C8—21no—
310D24—28no—
311#204—44no—
312C22×Q8—31no—
313C22×Q8—31no—
314C22×Q8C22×D311yescharacteristic
315C22×D4—31no—
316C22×D4—31no—
317C23×C4—61no—
318C23×C4—61no—
319C2×SD16—62no—
320C2×SD16—62no—
321C2×SD16—62no—
322C2×SD16—62no—
323C2×SD16—121no—
324C2×SD16—121no—
325C2×D8—62no—
326C2×D8—62no—
327C2×D8—62no—
328C22×C8—31no—
329C22×C8—31no—
330C22×C8C22×D311yescharacteristic
331C22×C8C22×D311yescharacteristic
332C4⋊Q8—34no—
333C4⋊Q8—62no—
334#126—68no—
335#126—68no—
336#124—62no—
337#124—62no—
338#124—62no—
339#124—62no—
340C22⋊Q8—68no—
341C22⋊Q8—124no—
342C4×Q8—22no—
343C4×Q8—22no—
344C4×Q8—62no—
345C4×Q8—62no—
346C4×Q8—62no—
347C4×Q8—62no—
348C4×D4—34no—
349C4×D4—62no—
350C4×D4—62no—
351C4×D4—62no—
352#117—68no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—31no—
356C2×C4⋊C4—31no—
357C2×C4⋊C4—31no—
358C2×C4⋊C4—31no—
359C2×C4⋊C4—61no—
360C2×C4⋊C4—61no—
361C2×C4⋊C4—61no—
362C2×C4⋊C4—61no—
363C2×C4⋊C4—61no—
364C2×C4⋊C4—61no—
365C2×C4⋊C4C22×D311yescharacteristic
366C2×C4⋊C4C22×D311yescharacteristic
367C2×C4⋊C4C22×D311yescharacteristic
368C2×C22⋊C4—61no—
369C2×C22⋊C4—61no—
370C2×C22⋊C4—61no—
371C2×C22⋊C4—61no—
372C2×C22⋊C4—61no—
373C2×C22⋊C4—61no—
374C2×C22⋊C4—61no—
375C2×C22⋊C4—61no—
376C2×C22⋊C4—61no—
377C2×C22⋊C4—61no—
378C2×C42—21no—
379C2×C42—31no—
380C2×C42—31no—
381C2×C42—61no—
382C2×C42C22×D311yescharacteristic
383#107—22no—
384C4⋊C8—62no—
385#103—22no—
386#103—22no—
387#103—62no—
388#103—62no—
389#103—121no—
390#103—121no—
391#102—62no—
392#102—62no—
393#102—121no—
394#102—121no—
395C4×C8—62no—
396#95—21no—
397#95—61no—
398C23×C3C22×D411yescharacteristic
399C22×D3—22no—
400C22×D3—22no—
401C22×D3—41no—
402C22×D3—41no—
403C22×D3—41no—
404C22×D3—41no—
405C22×D3—41no—
406C22×D3—41no—
407C22×D3—41no—
408C22×D3—41no—
409C22×D3—41no—
410C22×D3—41no—
411C22×D3—41no—
412C22×D3—41no—
413C3×Q8—22no—
414C3×Q8—22no—
415C3×Q8—41no—
416C3×Q8—41no—
417C2×C3×C4—22no—
418C2×C3×C4—21no—
419C2×C3×C4—22no—
420C2×C3×C4—21no—
421C2×C3×C4—21no—
422C2×C3×C4—21no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4—41no—
426C2×C3×C4—41no—
427C2×C3×C4—41no—
428C2×C3×C4—41no—
429C2×C3×C4—41no—
430C2×C3×C4—41no—
431C2×C3×C4—41no—
432C2×C3×C4—41no—
433C2×C3×C4—41no—
434C2×C3×C4—41no—
435C2×C3×C4C22×D411yescharacteristic
436C2×C3×C4C22×D411yescharacteristic
437C2×C3×C4C2×#4111yescharacteristic
438C2×C3×C4C2×#4111yescharacteristic
439C2×C3×C4H(5,𝔽2)11yescharacteristic
440C2×C3×C42−1+411yescharacteristic
441C2×Dic3—21no—
442C2×Dic3—21no—
443C2×Dic3—21no—
444C2×Dic3—21no—
445C2×Dic3—22no—
446C2×Dic3—21no—
447C2×Dic3—21no—
448C2×Dic3—21no—
449C2×Dic3—21no—
450C2×Dic3—41no—
451C2×Dic3—41no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454C2×Dic3—41no—
455C2×Dic3#12012yes—
456C2×Dic3#12012yes—
457C2×Dic3#13512yes—
458C2×Dic3AGL(1,ℤ/8)12yes—
459D12—22no—
460D12—22no—
461D12—22no—
462D12—22no—
463D12—41no—
464D12—41no—
465D12—41no—
466D12—41no—
467C4×D3—48no—
468C4×D3—84no—
469Dic6—22no—
470Dic6—22no—
471Dic6—41no—
472Dic6—41no—
473Dic6—44no—
474C3×C8—22no—
475C3×C8—41no—
476C3⋊C8—41no—
477C3⋊C8—41no—
478C24—61no—
479C24—61no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—32no—
486C2×Q8—62no—
487C2×Q8—62no—
488C2×Q8—62no—
489C2×Q8—61no—
490C2×Q8—61no—
491C2×Q8—61no—
492C2×Q8—61no—
493C2×Q8—61no—
494C2×Q8D3×D412yes—
495C2×D4—32no—
496C2×D4—32no—
497C2×D4—61no—
498C2×D4—61no—
499C2×D4—61no—
500C2×D4—61no—
501C2×D4—61no—
502C2×D4—61no—
503C2×D4—61no—
504C2×D4—61no—
505C2×D4—61no—
506C2×D4—61no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—31no—
512C22×C4—31no—
513C22×C4—31no—
514C22×C4—31no—
515C22×C4—64no—
516C22×C4—61no—
517C22×C4—61no—
518C22×C4—122no—
519C22×C4—122no—
520C22×C4—122no—
521C22×C4—122no—
522C22×C4—122no—
523C22×C4D3×D411yescharacteristic
524C22×C4D3×D411yescharacteristic
525C22×C4C23×D311yescharacteristic
526SD16—124no—
527SD16—124no—
528D8—68no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—61no—
535C2×C8—61no—
536C2×C8—61no—
537C2×C8—61no—
538C2×C8—61no—
539C2×C8—61no—
540C2×C8#23512yes—
541C4⋊C4—24no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—42no—
548C4⋊C4—62no—
549C4⋊C4—62no—
550C4⋊C4—62no—
551C4⋊C4—64no—
552C4⋊C4—64no—
553C4⋊C4—64no—
554C4⋊C4—61no—
555C4⋊C4—61no—
556C4⋊C4—122no—
557C4⋊C4—122no—
558C4⋊C4—241no—
559C4⋊C4D3×D412yes—
560C22⋊C4—64no—
561C22⋊C4—64no—
562C22⋊C4—64no—
563C22⋊C4—64no—
564C22⋊C4—64no—
565C22⋊C4—122no—
566C22⋊C4—122no—
567C22⋊C4—122no—
568C22⋊C4—241no—
569C22⋊C4—241no—
570C42—24no—
571C42—21no—
572C42—21no—
573C42—32no—
574C42—32no—
575C42—64no—
576C42—61no—
577C42—61no—
578C22×C3C2×#12011yescharacteristic
579C22×C3#54811yescharacteristic
580C22×C3#55011yescharacteristic
581C22×C3C2×#13511yescharacteristic
582C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
583C22×C3#57711yescharacteristic
584C22×C3#57811yescharacteristic
585C2×D3—42no—
586C2×D3—42no—
587C2×D3—42no—
588C2×D3—42no—
589C2×D3—42no—
590C2×D3—42no—
591C2×D3—81no—
592C2×D3—81no—
593C2×D3—81no—
594C2×D3—81no—
595C2×D3—81no—
596C2×D3—81no—
597C2×D3—81no—
598C2×D3—81no—
599C3×C4—42no—
600C3×C4—41no—
601C3×C4—42no—
602C3×C4—41no—
603C3×C4—81no—
604C3×C4—81no—
605C3×C4#52511yescharacteristic
606C3×C4#53711yescharacteristic
607C3×C4#54611yescharacteristic
608C3×C4#54711yescharacteristic
609Dic3—22no—
610Dic3—42no—
611Dic3—41no—
612Dic3—41no—
613Dic3—81no—
614Dic3#44914yes—
615C23—62no—
616C23—62no—
617C23—121no—
618C23—121no—
619C23—121no—
620C23—121no—
621C23—121no—
622C23—121no—
623C23—121no—
624C23—121no—
625C23—121no—
626C23—121no—
627C23—121no—
628C23—121no—
629C23C2×D3×D411yescharacteristic
630Q8—22no—
631Q8—22no—
632Q8—41no—
633Q8—41no—
634Q8—62no—
635Q8—62no—
636Q8—124no—
637Q8—121no—
638Q8—121no—
639D4—62no—
640D4—62no—
641D4—62no—
642D4—62no—
643D4—121no—
644D4—121no—
645D4—121no—
646D4—121no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—22no—
653C2×C4—21no—
654C2×C4—22no—
655C2×C4—32no—
656C2×C4—32no—
657C2×C4—32no—
658C2×C4—32no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—61no—
673C2×C4—61no—
674C2×C4—61no—
675C2×C4—61no—
676C2×C4—61no—
677C2×C4—62no—
678C2×C4—128no—
679C2×C4—121no—
680C2×C4—121no—
681C2×C4—121no—
682C2×C4—121no—
683C2×C4—121no—
684C2×C4—244no—
685C2×C4C2×#23511yescharacteristic
686C2×C4C2×D3×D411yescharacteristic
687C2×C4C2×D3×D411yescharacteristic
688C2×C4#100711yescharacteristic
689C2×C4D3×#4111yescharacteristic
690C2×C4#100911yescharacteristic
691C8—22no—
692C8—41no—
693C8—121no—
694C8—121no—
695C2×C3#240711yescharacteristic
696C2×C3C2×#44911yescharacteristic
697C2×C3#301311yescharacteristic
698C2×C3#336011yescharacteristic
699C2×C3#336711yescharacteristic
700C2×C3#339311yescharacteristic
701C2×C3#339711yescharacteristic
702D3—82no—
703D3—82no—
704C22—122no—
705C22—122no—
706C22—122no—
707C22—122no—
708C22—122no—
709C22—122no—
710C22—241no—
711C22—241no—
712C22—241no—
713C22—241no—
714C22—241no—
715C22—241no—
716C22—241no—
717C22—241no—
718C22#555311yescharacteristic
719C22D3×#12011yescharacteristic
720C22#563311yescharacteristic
721C22#576611yescharacteristic
722C22D3×#13511yescharacteristic
723C22D3×AGL(1,ℤ/8)11yescharacteristic
724C22#577811yescharacteristic
725C4—34no—
726C4—41no—
727C4—42no—
728C4—41no—
729C4—42no—
730C4—62no—
731C4—81no—
732C4—81no—
733C4—121no—
734C4—122no—
735C4—121no—
736C4—241no—
737C4#550711yescharacteristic
738C4#554711yescharacteristic
739C4#562911yescharacteristic
740C4#565411yescharacteristic
741C3#2418511yescharacteristic, complemented, Sylow
742C2—242no—
743C2—242no—
744C2#7440411yescharacteristic
745C2#7971011yescharacteristic
746C2#7976311yescharacteristic
747C2D3×#44911yescharacteristic
748C2#8018611yescharacteristic
749C2#8110011yescharacteristic
750C2#8121511yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1863C2
socleC23×C3C22×D4
prime radicalC22×D24C22
hypercenter#1863D3
hypocenterC3#24185
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1863

Complements

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

NH ≅ G/Ntype
1. C2×#5568C2semidirect
3. C2×#4818C2semidirect
4. #76059C2semidirect
5. C3×#1863C2semidirect
6. #71633C2semidirect
7. #70642C2semidirect
8. #70279C2semidirect
10. #70225C2semidirect
11. #69628C2semidirect
12. #68909C2semidirect
13. #68892C2semidirect
15. #68619C2semidirect
77. #1863D3semidirect
741. C3#24185semidirect

Maximal subgroups

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

subgroupindex
C2×#55682
C2×#48722
C2×#48182
#760592
C3×#18632
#716332
#706422
#702792
#702772
#702252
#696282
#689092
#688922
#686752
#686192
#241853