Finite Group Databasebeta

← #10945037

Subgroups — #10945037

Order 768.

1292 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5574C211yesmaximal, characteristic
2C2×#4884C211yesmaximal, characteristic, complemented
3C2×#4808C211yesmaximal, characteristic
4#76102C211yesmaximal, characteristic, complemented
5C3×#1863C211yesmaximal, characteristic, complemented
6#71632C211yesmaximal, characteristic, complemented
7#70638C211yesmaximal, characteristic, complemented
8#70267C211yesmaximal, characteristic
9#70239C211yesmaximal, characteristic, complemented
10#70235C211yesmaximal, characteristic, complemented
11#69625C211yesmaximal, characteristic, complemented
12#68896C211yesmaximal, characteristic, complemented
13#68871C211yesmaximal, characteristic, complemented
14#68672C211yesmaximal, characteristic, complemented
15#68665C211yesmaximal, characteristic, complemented
16#33017—31nomaximal, Sylow
17C22×#239C2211yescharacteristic
18C2×C3×C4×Q8C2211yescharacteristic
19C2×Q8×Dic3C2211yescharacteristic
20C22×#216C2211yescharacteristic
21C22×#204C2211yescharacteristic
22#5574—24no—
23#5574—24no—
24C2×#897C2211yescharacteristic
25C2×#893—21no—
26C2×#893C2211yescharacteristic
27C2×D3×C4⋊C4—21no—
28C2×D3×C4⋊C4C2211yescharacteristic
29C2×C4×D12—21no—
30C2×C4×D12C2211yescharacteristic
31C2×#872—21no—
32C2×#872C2211yescharacteristic
33C2×C3×#107C2211yescharacteristic
34C2×C3×#103C2211yescharacteristic
35C2×C3×#103C2211yescharacteristic
36C3×#389C2211yescharacteristic
37C2×#835C2211yescharacteristic
38C2×#821C2211yescharacteristic
39C2×(C2×D3)⋊C8C2211yescharacteristic
40C2×(C2×D3)⋊C8C2211yescharacteristic
41C2×#816C2211yescharacteristic
42#4992—21no—
43#4987C2211yescharacteristic
44#4982—21no—
45#4973C2211yescharacteristic
46#4972C2211yescharacteristic
47C2×#810C2211yescharacteristic
48C2×#809C2211yescharacteristic
49C2×#809C2211yescharacteristic
50C2×#807C2211yescharacteristic
51#4929C2211yescharacteristic
52#4884—24no—
53#4808—24no—
54#4675—21no—
55#4660—21no—
56C3×#340C2211yescharacteristic
57C3×#336C2211yescharacteristic
58#4551C2211yescharacteristic
59#4550C2211yescharacteristic
60#4550C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#520—31no—
65C2×#484—31no—
66C2×#452—31no—
67#2625—31no—
68#1878—31no—
69#1878—31no—
70#1877—31no—
71#1877—31no—
72#1863—31no—
73#1863D311yescharacteristic, complemented
74#1862—31no—
75#1862—31no—
76#1823—31no—
77#1818—31no—
78#1788—31no—
79C22×C3×Q8C2311yescharacteristic
80C2×#239—22no—
81C2×#239—22no—
82C2×#239—22no—
83C2×#239—22no—
84C2×#239—22no—
85C2×#239D414yes—
86C22×D12—21no—
87C22×D12C2311yescharacteristic
88C22×C4×D3—21no—
89C22×C4×D3—21no—
90C22×C4×D3—21no—
91C22×C4×D3—21no—
92C22×C4×D3C2311yescharacteristic
93C22×Dic6C2311yescharacteristic
94C22×C3×C8C2311yescharacteristic
95C22×C3×C8C2311yescharacteristic
96C3×C4×Q8—22no—
97C3×C4×Q8—22no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C4⋊C4—21no—
100C2×C3×C4⋊C4C2311yescharacteristic
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C4⋊C4C2311yescharacteristic
103C2×C3×C42—21no—
104C2×C3×C42C2311yescharacteristic
105Q8×Dic3—22no—
106Q8×Dic3—22no—
107C2×#216—22no—
108C2×#216—22no—
109C2×#216—22no—
110C2×(C2×D3)⋊C4—21no—
111C2×(C2×D3)⋊C4—21no—
112C2×(C2×D3)⋊C4—21no—
113C2×(C2×D3)⋊C4—21no—
114C2×(C2×D3)⋊C4D411yescharacteristic
115C2×(C2×D3)⋊C4D411yescharacteristic
116C2×C4⋊Dic3—21no—
117C2×C4⋊Dic3—21no—
118C2×C4⋊Dic3C2311yescharacteristic
119C2×C4⋊Dic3C2311yescharacteristic
120C2×Dic3⋊C4—21no—
121C2×Dic3⋊C4—21no—
122C2×Dic3⋊C4D411yescharacteristic
123C2×Dic3⋊C4D411yescharacteristic
124C2×C4×Dic3—21no—
125C2×C4×Dic3C2311yescharacteristic
126C22×C3⋊C8C2311yescharacteristic
127C22×C3⋊C8C2311yescharacteristic
128C2×#204—22no—
129C2×#204—22no—
130C2×#204—22no—
131#897—22no—
132#897—22no—
133#893—28no—
134#893—22no—
135#893—22no—
136D3×C4⋊C4—28no—
137D3×C4⋊C4—22no—
138D3×C4⋊C4D414yes—
139C4×D12—28no—
140C4×D12—22no—
141C4×D12—22no—
142#872—28no—
143#872—22no—
144#872—22no—
145C3×#107—22no—
146C3×#103—22no—
147C3×#103—22no—
148C3×#95—21no—
149#835—22no—
150C3⋊#95—21no—
151C3⋊#95—21no—
152C3⋊#95—21no—
153C3⋊#95—21no—
154C3⋊#95—21no—
155C3⋊#95—21no—
156#821—22no—
157(C2×D3)⋊C8—22no—
158(C2×D3)⋊C8—22no—
159#816—22no—
160#810—22no—
161#809—22no—
162#809—22no—
163#807—22no—
164C22×#41—31no—
165C22×Q16—31no—
166C22×SD16—31no—
167C2×C22⋊Q8—31no—
168#520—64no—
169#520—64no—
170C2×C4×Q8—31no—
171C2×C4×Q8C2×D311yescharacteristic
172C2×C4×D4—31no—
173C2×C4×D4—31no—
174C2×C4×D4—61no—
175C2×C4×D4—61no—
176C2×#117—31no—
177C2×#117—61no—
178C22×C4⋊C4—31no—
179C22×C4⋊C4—61no—
180#484—64no—
181#452—64no—
182C2×#107—31no—
183C2×#107C2×D311yescharacteristic
184C2×#103—31no—
185C2×#103—31no—
186C2×#103—31no—
187C2×#103C2×D311yescharacteristic
188C2×#103C2×D311yescharacteristic
189C2×#102—31no—
190C2×#102—31no—
191C2×#102—31no—
192C2×C22⋊C8—31no—
193C2×C22⋊C8—31no—
194#400—61no—
195#398—61no—
196#397—61no—
197#397—61no—
198#391—31no—
199#391—31no—
200#389—31no—
201#389C2×D311yescharacteristic
202#380—31no—
203#340—31no—
204#340—31no—
205#340—31no—
206#340C2×D311yescharacteristic
207#336—31no—
208#336—31no—
209#336—31no—
210#336C2×D311yescharacteristic
211C23×D3—21no—
212C23×D3C2×D411yescharacteristic
213C2×C3×Q8—21no—
214C2×C3×Q8—21no—
215C2×C3×Q8—21no—
216C2×C3×Q8C2×D412yes—
217C2×C3×Q8#4112yes—
218C2×C3×Q8#4112yes—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2411yescharacteristic
226C22×Dic3—21no—
227C22×Dic3—21no—
228C22×Dic3—21no—
229C22×Dic3C2×D411yescharacteristic
230C22×Dic3C2×D411yescharacteristic
231C22×Dic3C2×D411yescharacteristic
232#239—28no—
233#239—28no—
234#239—28no—
235#239—28no—
236C2×D12—24no—
237C2×D12—24no—
238C2×D12—24no—
239C2×D12—21no—
240C2×D12—21no—
241C2×D12—21no—
242C2×D12C2×D412yes—
243C2×D12#4112yes—
244C2×D12#4112yes—
245C2×C4×D3—24no—
246C2×C4×D3—24no—
247C2×C4×D3—21no—
248C2×C4×D3—21no—
249C2×C4×D3—21no—
250C2×C4×D3—21no—
251C2×C4×D3—24no—
252C2×C4×D3—24no—
253C2×C4×D3—24no—
254C2×C4×D3—24no—
255C2×C4×D3—81no—
256C2×C4×D3—81no—
257C2×C4×D3—81no—
258C2×C4×D3—81no—
259C2×C4×D3—81no—
260C2×C4×D3—81no—
261C2×C4×D3C2×D412yes—
262C2×C4×D3C2×D412yes—
263C2×Dic6—21no—
264C2×Dic6—21no—
265C2×Dic6—21no—
266C2×Dic6—21no—
267C2×Dic6—21no—
268C2×Dic6—21no—
269C2×C3×C8—21no—
270C2×C3×C8—21no—
271C2×C3×C8—21no—
272C2×C3×C8—21no—
273C2×C3×C8—21no—
274C2×C3×C8—21no—
275C3×C4⋊C4—24no—
276C3×C4⋊C4—21no—
277C3×C4⋊C4—21no—
278C3×C4⋊C4—21no—
279C3×C4⋊C4—21no—
280C3×C4⋊C4—21no—
281C3×C4⋊C4—81no—
282C3×C4⋊C4C2×D412yes—
283C3×C42—24no—
284C3×C42—21no—
285C3×C42—21no—
286#216—44no—
287(C2×D3)⋊C4—24no—
288(C2×D3)⋊C4—24no—
289(C2×D3)⋊C4—22no—
290(C2×D3)⋊C4—22no—
291(C2×D3)⋊C4—42no—
292(C2×D3)⋊C4—81no—
293C4⋊Dic3—24no—
294C4⋊Dic3—21no—
295C4⋊Dic3—21no—
296C4⋊Dic3—21no—
297C4⋊Dic3—42no—
298C4⋊Dic3C2×D412yes—
299Dic3⋊C4—22no—
300Dic3⋊C4—22no—
301Dic3⋊C4—24no—
302Dic3⋊C4—81no—
303C4×Dic3—24no—
304C4×Dic3—21no—
305C4×Dic3—21no—
306C2×C3⋊C8—21no—
307C2×C3⋊C8—21no—
308C2×C3⋊C8—21no—
309C2×C3⋊C8—21no—
310C2×C3⋊C8—21no—
311C2×C3⋊C8—21no—
312#204—44no—
313C2×#41—34no—
314C2×#41—62no—
315C2×#41—62no—
316C2×#41—62no—
317C2×#41—62no—
318C2×#41—62no—
319C22×Q8—31no—
320C22×Q8C22×D311yescharacteristic
321C22×D4—31no—
322C22×D4—61no—
323C23×C4—31no—
324C23×C4—61no—
325C23×C4—61no—
326C23×C4—61no—
327C23×C4—61no—
328C2×Q16—62no—
329C2×Q16—62no—
330C2×Q16—62no—
331C2×SD16—62no—
332C2×SD16—62no—
333C2×SD16—62no—
334C22×C8—31no—
335C22×C8—31no—
336C22×C8C22×D311yescharacteristic
337C22×C8C22×D311yescharacteristic
338C22⋊Q8—62no—
339C22⋊Q8—62no—
340C4×Q8—22no—
341C4×Q8—22no—
342C4×Q8—62no—
343C4×Q8—62no—
344C4×D4—62no—
345C4×D4—62no—
346C4×D4—68no—
347C4×D4—62no—
348C4×D4—68no—
349C4×D4—62no—
350#117—62no—
351#117—62no—
352#117—68no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—31no—
356C2×C4⋊C4—34no—
357C2×C4⋊C4—31no—
358C2×C4⋊C4—31no—
359C2×C4⋊C4—31no—
360C2×C4⋊C4—62no—
361C2×C4⋊C4—68no—
362C2×C4⋊C4—61no—
363C2×C4⋊C4—61no—
364C2×C4⋊C4—61no—
365C2×C4⋊C4—61no—
366C2×C4⋊C4C22×D311yescharacteristic
367C2×C4⋊C4C22×D311yescharacteristic
368C2×C4⋊C4C22×D311yescharacteristic
369C2×C22⋊C4—31no—
370C2×C22⋊C4—31no—
371C2×C22⋊C4—61no—
372C2×C22⋊C4—61no—
373C2×C22⋊C4—61no—
374C2×C22⋊C4—61no—
375C2×C42—21no—
376C2×C42—31no—
377C2×C42—61no—
378C2×C42C22×D311yescharacteristic
379#107—22no—
380#107—62no—
381#103—22no—
382#103—22no—
383#103—62no—
384#103—62no—
385#103—62no—
386#102—62no—
387#102—62no—
388#102—62no—
389C22⋊C8—62no—
390C22⋊C8—62no—
391#95—21no—
392#95—61no—
393#95—61no—
394#95—61no—
395#95—61no—
396#95—61no—
397#95—61no—
398C23×C3C22×D411yescharacteristic
399C22×D3—22no—
400C22×D3—21no—
401C22×D3—21no—
402C22×D3—22no—
403C22×D3—22no—
404C22×D3—21no—
405C22×D3—21no—
406C22×D3—21no—
407C22×D3—21no—
408C22×D3—41no—
409C22×D3—41no—
410C22×D3—41no—
411C22×D3—41no—
412C22×D3#12012yes—
413C3×Q8—22no—
414C3×Q8—22no—
415C3×Q8—22no—
416C3×Q8#12314yes—
417C2×C3×C4—22no—
418C2×C3×C4—22no—
419C2×C3×C4—22no—
420C2×C3×C4—21no—
421C2×C3×C4—21no—
422C2×C3×C4—22no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4—21no—
426C2×C3×C4—21no—
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×C4C2×#4111yescharacteristic
440C2×C3×C4C2×#4111yescharacteristic
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—41no—
456C2×Dic3—41no—
457C2×Dic3—41no—
458C2×Dic3#12012yes—
459D12—216no—
460D12—22no—
461D12—22no—
462D12—22no—
463D12#12314yes—
464C4×D3—216no—
465C4×D3—22no—
466C4×D3—22no—
467C4×D3—22no—
468C4×D3—22no—
469C4×D3—84no—
470C4×D3—84no—
471C4×D3—84no—
472Dic6—41no—
473Dic6—41no—
474Dic6—41no—
475Dic6—41no—
476C3×C8—41no—
477C3×C8—41no—
478C3⋊C8—41no—
479C3⋊C8—41no—
480C24—31no—
481C24—61no—
482#41—68no—
483#41—68no—
484#41—68no—
485#41—68no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—61no—
490C2×Q8—61no—
491C2×Q8—61no—
492C2×Q8—61no—
493C2×Q8—61no—
494C2×Q8—61no—
495C2×Q8#23512yes—
496C2×Q8D3×D412yes—
497C2×Q8#23912yes—
498C2×D4—32no—
499C2×D4—32no—
500C2×D4—32no—
501C2×D4—64no—
502C2×D4—64no—
503C2×D4—64no—
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—32no—
513C22×C4—32no—
514C22×C4—31no—
515C22×C4—31no—
516C22×C4—64no—
517C22×C4—64no—
518C22×C4—64no—
519C22×C4—64no—
520C22×C4—64no—
521C22×C4—64no—
522C22×C4—61no—
523C22×C4—61no—
524C22×C4—61no—
525C22×C4—61no—
526C22×C4—61no—
527C22×C4—61no—
528C22×C4—61no—
529C22×C4—241no—
530C22×C4—241no—
531C22×C4—241no—
532C22×C4—241no—
533C22×C4—241no—
534C22×C4—241no—
535C22×C4D3×D411yescharacteristic
536C22×C4D3×D411yescharacteristic
537C22×C4C23×D311yescharacteristic
538Q16—124no—
539SD16—124no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—61no—
547C2×C8—61no—
548C2×C8—61no—
549C2×C8—61no—
550C2×C8—61no—
551C2×C8—61no—
552C4⋊C4—24no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—32no—
559C4⋊C4—62no—
560C4⋊C4—64no—
561C4⋊C4—62no—
562C4⋊C4—64no—
563C4⋊C4—61no—
564C4⋊C4—61no—
565C4⋊C4—61no—
566C4⋊C4—81no—
567C4⋊C4—122no—
568C4⋊C4—241no—
569C4⋊C4D3×D412yes—
570C22⋊C4—62no—
571C22⋊C4—62no—
572C22⋊C4—64no—
573C22⋊C4—64no—
574C22⋊C4—122no—
575C22⋊C4—241no—
576C42—24no—
577C42—21no—
578C42—21no—
579C42—64no—
580C42—61no—
581C42—61no—
582C22×C3C2×#12011yescharacteristic
583C22×C3#52511yescharacteristic
584C22×C3#52511yescharacteristic
585C22×C3#57611yescharacteristic
586C22×C3#57711yescharacteristic
587C22×C3#57811yescharacteristic
588C22×C3#57811yescharacteristic
589C2×D3—22no—
590C2×D3—24no—
591C2×D3—22no—
592C2×D3—22no—
593C2×D3—41no—
594C2×D3—41no—
595C2×D3—42no—
596C2×D3—42no—
597C2×D3—41no—
598C2×D3—41no—
599C2×D3—42no—
600C2×D3—42no—
601C2×D3—42no—
602C2×D3—42no—
603C3×C4—24no—
604C3×C4—41no—
605C3×C4—41no—
606C3×C4—42no—
607C3×C4—81no—
608C3×C4—81no—
609C3×C4C2×#12311yescharacteristic
610C3×C4C2×#12311yescharacteristic
611C3×C4#52511yescharacteristic
612C3×C4#52511yescharacteristic
613Dic3—22no—
614Dic3—41no—
615Dic3—41no—
616Dic3—42no—
617Dic3—81no—
618Dic3—81no—
619C23—32no—
620C23—61no—
621C23—61no—
622C23—61no—
623C23—61no—
624C23—62no—
625C23—61no—
626C23—62no—
627C23—62no—
628C23—61no—
629C23—121no—
630C23—121no—
631C23—121no—
632C23—121no—
633C23C2×D3×D411yescharacteristic
634Q8—22no—
635Q8—22no—
636Q8—22no—
637Q8—121no—
638Q8—121no—
639Q8—121no—
640Q8—121no—
641Q8#89414yes—
642D4—34no—
643D4—616no—
644D4—62no—
645D4—62no—
646D4—62no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—32no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—616no—
667C2×C4—61no—
668C2×C4—61no—
669C2×C4—62no—
670C2×C4—62no—
671C2×C4—62no—
672C2×C4—62no—
673C2×C4—61no—
674C2×C4—61no—
675C2×C4—61no—
676C2×C4—61no—
677C2×C4—61no—
678C2×C4—62no—
679C2×C4—61no—
680C2×C4—121no—
681C2×C4—121no—
682C2×C4—121no—
683C2×C4—121no—
684C2×C4—121no—
685C2×C4—121no—
686C2×C4—121no—
687C2×C4—121no—
688C2×C4—244no—
689C2×C4—244no—
690C2×C4—244no—
691C2×C4C2×#23511yescharacteristic
692C2×C4C2×D3×D411yescharacteristic
693C2×C4C2×D3×D411yescharacteristic
694C2×C4C2×#23911yescharacteristic
695C2×C4D3×#4111yescharacteristic
696C2×C4D3×#4111yescharacteristic
697C8—41no—
698C8—41no—
699C8—121no—
700C8—121no—
701C2×C3#284911yescharacteristic
702C2×C3#301111yescharacteristic
703C2×C3#301211yescharacteristic
704C2×C3#312011yescharacteristic
705C2×C3#312011yescharacteristic
706C2×C3#312411yescharacteristic
707C2×C3#312411yescharacteristic
708D3—42no—
709D3—44no—
710C22—62no—
711C22—64no—
712C22—62no—
713C22—62no—
714C22—122no—
715C22—121no—
716C22—122no—
717C22—121no—
718C22—122no—
719C22—121no—
720C22—122no—
721C22—121no—
722C22—122no—
723C22—122no—
724C22#554711yescharacteristic
725C22D3×#12011yescharacteristic
726C22#562711yescharacteristic
727C22#576611yescharacteristic
728C22#577011yescharacteristic
729C22#577411yescharacteristic
730C22#577911yescharacteristic
731C4—24no—
732C4—41no—
733C4—41no—
734C4—42no—
735C4—62no—
736C4—81no—
737C4—81no—
738C4—121no—
739C4—121no—
740C4—122no—
741C4—241no—
742C4—241no—
743C4C2×#89411yescharacteristic
744C4#554711yescharacteristic
745C4#562711yescharacteristic
746C4D3×#12311yescharacteristic
747C3#3301711yescharacteristic, complemented, Sylow
748C2—122no—
749C2—124no—
750C2#7465611yescharacteristic
751C2#7974811yescharacteristic
752C2#7981311yescharacteristic
753C2#8008711yescharacteristic
754C2#8018511yescharacteristic
755C2#8109711yescharacteristic
756C2#8120911yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1863C2
socleC23×C3C22×D4
prime radicalC22×#239C22
hypercenter#1863D3
hypocenterC3#33017
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
2. C2×#4884C2semidirect
4. #76102C2semidirect
5. C3×#1863C2semidirect
6. #71632C2semidirect
7. #70638C2semidirect
9. #70239C2semidirect
10. #70235C2semidirect
11. #69625C2semidirect
12. #68896C2semidirect
13. #68871C2semidirect
14. #68672C2semidirect
15. #68665C2semidirect
73. #1863D3semidirect
747. C3#33017semidirect

Maximal subgroups

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

subgroupindex
C2×#55742
C2×#48842
C2×#48082
#761022
C3×#18632
#716322
#706382
#702672
#702392
#702352
#696252
#688962
#688712
#686722
#686652
#330173