Finite Group Databasebeta

← #10830030

Subgroups — #10830030

Order 768.

1122 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
1C2×#5732C211yesmaximal, characteristic, complemented
2C2×#4819C211yesmaximal, characteristic
3C2×#4788C211yesmaximal, characteristic, complemented
4#76075C211yesmaximal, characteristic, complemented
5C3×#2043C211yesmaximal, characteristic, complemented
6#71791C211yesmaximal, characteristic, complemented
7#70279C211yesmaximal, characteristic, complemented
8#70277C211yesmaximal, characteristic
9#70240C211yesmaximal, characteristic, complemented
10#70237C211yesmaximal, characteristic, complemented
11#70226C211yesmaximal, characteristic, complemented
12#70222C211yesmaximal, characteristic, complemented
13#69626C211yesmaximal, characteristic, complemented
14#68673C211yesmaximal, characteristic
15#68619C211yesmaximal, characteristic, complemented
16#24193—31nomaximal, Sylow
17C2×C3×C4⋊Q8C2211yescharacteristic
18C2×#947C2211yescharacteristic
19C2×#947C2211yescharacteristic
20C2×Q8×Dic3C2211yescharacteristic
21C2×Q8×Dic3C2211yescharacteristic
22C22×#215C2211yescharacteristic
23C22×#215C2211yescharacteristic
24C22×D24C2211yescharacteristic
25#5732—24no—
26#5732—24no—
27C2×#898—21no—
28C2×#898—21no—
29C2×#897—21no—
30C2×#893C2211yescharacteristic
31C2×#892—21no—
32C2×C4×D12C2211yescharacteristic
33C2×C4×Dic6C2211yescharacteristic
34C2×C3×#103C2211yescharacteristic
35C2×C3×#103C2211yescharacteristic
36C2×C3×#103C2211yescharacteristic
37C2×C3×#103C2211yescharacteristic
38C3×#389C2211yescharacteristic
39C2×#835C2211yescharacteristic
40C2×#835C2211yescharacteristic
41C2×#821C2211yescharacteristic
42C2×#821C2211yescharacteristic
43C2×Dic3⋊C8C2211yescharacteristic
44C2×C8×Dic3C2211yescharacteristic
45#4993—21no—
46#4989—21no—
47#4988C2211yescharacteristic
48#4977C2211yescharacteristic
49#4972C2211yescharacteristic
50C2×#809C2211yescharacteristic
51C2×#809C2211yescharacteristic
52C2×#808C2211yescharacteristic
53#4939C2211yescharacteristic
54#4819—24no—
55#4788—24no—
56#4673—21no—
57#4668—21no—
58C3×#336C2211yescharacteristic
59#4551C2211yescharacteristic
60#4550C2211yescharacteristic
61#4550C2211yescharacteristic
62#4529C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#556—31no—
65C2×#463—31no—
66C2×C4×SD16—31no—
67#2580—31no—
68#2043D311yescharacteristic, complemented
69#2042—31no—
70#2013—31no—
71#2012—31no—
72#1984—31no—
73#1958—31no—
74#1880—31no—
75#1879—31no—
76#1865—31no—
77#1864—31no—
78#1805—31no—
79C22×C3×Q8C2311yescharacteristic
80C22×C3×Q8C2311yescharacteristic
81C22×D12C2311yescharacteristic
82C22×D12C2311yescharacteristic
83C22×C4×D3—21no—
84C22×C4×D3—21no—
85C22×Dic6D411yescharacteristic
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⋊C4—21no—
93C2×C3×C4⋊C4C2311yescharacteristic
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C42C2311yescharacteristic
96#947—22no—
97#947—22no—
98#947—22no—
99#947D414yes—
100Q8×Dic3—22no—
101Q8×Dic3—22no—
102Q8×Dic3—22no—
103Q8×Dic3D414yes—
104C2×#215—22no—
105C2×#215—22no—
106C2×#215—22no—
107C2×#215—22no—
108C2×#215—22no—
109C2×#215—41no—
110C2×(C2×D3)⋊C4—21no—
111C2×(C2×D3)⋊C4—21no—
112C2×(C2×D3)⋊C4—21no—
113C2×(C2×D3)⋊C4—21no—
114C2×(C2×D3)⋊C4—21no—
115C2×(C2×D3)⋊C4—21no—
116C2×(C2×D3)⋊C4—21no—
117C2×(C2×D3)⋊C4—21no—
118C2×(C2×D3)⋊C4—21no—
119C2×(C2×D3)⋊C4—21no—
120C2×C4⋊Dic3—21no—
121C2×C4⋊Dic3—21no—
122C2×C4⋊Dic3D411yescharacteristic
123C2×C4⋊Dic3C2311yescharacteristic
124C2×C4⋊Dic3C2311yescharacteristic
125C2×Dic3⋊C4—21no—
126C2×Dic3⋊C4D411yescharacteristic
127C2×Dic3⋊C4D411yescharacteristic
128C2×C4×Dic3—21no—
129C2×C4×Dic3—21no—
130C2×C4×Dic3C2311yescharacteristic
131C2×C4×Dic3C2311yescharacteristic
132C22×C3⋊C8C2311yescharacteristic
133C22×C3⋊C8C2311yescharacteristic
134C2×D24—22no—
135C2×D24—22no—
136C2×D24—41no—
137#898—28no—
138#898—28no—
139#897—28no—
140#893—22no—
141#893—22no—
142#892—28no—
143C4×D12—22no—
144C4×D12—22no—
145C4×Dic6—22no—
146C4×Dic6—22no—
147C3×#103—22no—
148C3×#103—22no—
149C3×#103—41no—
150C3×#103—41no—
151C3×#95—21no—
152#835—22no—
153#835—41no—
154C3⋊#95—21no—
155C3⋊#95—21no—
156C3⋊#95—21no—
157#821—22no—
158#821—41no—
159Dic3⋊C8—22no—
160C8×Dic3—22no—
161#809—22no—
162#809—22no—
163#808—22no—
164C22×SD16—31no—
165C22×SD16—31no—
166C22×D8—31no—
167#556—64no—
168#556—64no—
169C2×C4⋊Q8C2×D311yescharacteristic
170C2×#126—61no—
171C2×#126—61no—
172C2×#124—31no—
173C2×#124—31no—
174C2×C22⋊Q8—61no—
175C2×C4×Q8—31no—
176C2×C4×Q8—31no—
177C2×C4×Q8—31no—
178C2×C4×D4—31no—
179C2×C4×D4—31no—
180C2×#117—61no—
181#463—64no—
182C4×SD16—64no—
183C2×#106—31no—
184C2×C4⋊C8—31no—
185C2×#103—31no—
186C2×#103—31no—
187C2×#103C2×D311yescharacteristic
188C2×#103C2×D311yescharacteristic
189C2×#103C2×D311yescharacteristic
190C2×#103C2×D311yescharacteristic
191C2×#102—31no—
192C2×#102—31no—
193C2×#102—31no—
194C2×#102—31no—
195C2×C4×C8—31no—
196#399—61no—
197#393—61no—
198#390—31no—
199#390—31no—
200#389—31no—
201#389C2×D311yescharacteristic
202#385—61no—
203#385—61no—
204#382—31no—
205#340—31no—
206#340—31no—
207#336—31no—
208#336—31no—
209#336—31no—
210#336C2×D311yescharacteristic
211C23×D3—21no—
212C23×D3—21no—
213C2×C3×Q8—21no—
214C2×C3×Q8—21no—
215C2×C3×Q8—21no—
216C2×C3×Q8—21no—
217C2×C3×Q8—21no—
218C2×C3×Q8—21no—
219C2×C3×Q8—21no—
220C2×C3×Q8—21no—
221C2×C3×Q8—21no—
222C2×C3×Q8—21no—
223C2×C3×Q8C2×D412yes—
224C2×C3×Q8C2×D412yes—
225C22×C3×C4—21no—
226C22×C3×C4—21no—
227C22×C3×C4—21no—
228C22×C3×C4—21no—
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2×D411yescharacteristic
231C22×C3×C4C2411yescharacteristic
232C22×Dic3—21no—
233C22×Dic3—21no—
234C22×Dic3C2×D411yescharacteristic
235C22×Dic3C2×D411yescharacteristic
236C22×Dic3C2×D411yescharacteristic
237C22×Dic3C2×D411yescharacteristic
238C2×D12—21no—
239C2×D12—21no—
240C2×D12—21no—
241C2×D12—21no—
242C2×D12—21no—
243C2×D12—21no—
244C2×D12—21no—
245C2×D12—21no—
246C2×D12—21no—
247C2×D12—21no—
248C2×D12C2×D412yes—
249C2×D12#4112yes—
250C2×C4×D3—24no—
251C2×C4×D3—42no—
252C2×C4×D3—42no—
253C2×C4×D3—42no—
254C2×C4×D3—81no—
255C2×C4×D3—81no—
256C2×Dic6—22no—
257C2×Dic6—22no—
258C2×Dic6—41no—
259C2×C3×C8—21no—
260C2×C3×C8—21no—
261C2×C3×C8—21no—
262C2×C3×C8—21no—
263C2×C3×C8—21no—
264C2×C3×C8—21no—
265C3×C4⋊C4—24no—
266C3×C4⋊C4—24no—
267C3×C4⋊C4—21no—
268C3×C4⋊C4—21no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4—21no—
271C3×C4⋊C4—81no—
272C3×C42—21no—
273C3×C42—21no—
274#215—28no—
275#215—44no—
276(C2×D3)⋊C4—24no—
277(C2×D3)⋊C4—24no—
278(C2×D3)⋊C4—24no—
279(C2×D3)⋊C4—24no—
280(C2×D3)⋊C4—24no—
281(C2×D3)⋊C4—42no—
282(C2×D3)⋊C4—42no—
283(C2×D3)⋊C4—42no—
284(C2×D3)⋊C4—81no—
285(C2×D3)⋊C4—81no—
286C4⋊Dic3—24no—
287C4⋊Dic3—21no—
288C4⋊Dic3—22no—
289C4⋊Dic3—24no—
290C4⋊Dic3—21no—
291C4⋊Dic3—21no—
292C4⋊Dic3C2×D412yes—
293Dic3⋊C4—22no—
294Dic3⋊C4—22no—
295Dic3⋊C4—81no—
296C4×Dic3—24no—
297C4×Dic3—21no—
298C4×Dic3—21no—
299C4×Dic3—24no—
300C4×Dic3C2×D412yes—
301C4×Dic3C2×D412yes—
302C2×C3⋊C8—21no—
303C2×C3⋊C8—21no—
304C2×C3⋊C8—21no—
305C2×C3⋊C8—21no—
306C2×C3⋊C8—21no—
307C2×C3⋊C8#4112yes—
308D24—44no—
309C22×Q8—31no—
310C22×Q8C22×D311yescharacteristic
311C22×Q8C22×D311yescharacteristic
312C22×D4—31no—
313C22×D4—31no—
314C23×C4—61no—
315C23×C4—61no—
316C2×SD16—62no—
317C2×SD16—62no—
318C2×SD16—62no—
319C2×SD16—62no—
320C2×SD16—62no—
321C2×SD16—121no—
322C2×D8—62no—
323C2×D8—62no—
324C2×D8—121no—
325C22×C8—31no—
326C22×C8—31no—
327C22×C8C22×D311yescharacteristic
328C22×C8C22×D311yescharacteristic
329C4⋊Q8—22no—
330C4⋊Q8—22no—
331#126—68no—
332#126—68no—
333#124—34no—
334#124—62no—
335#124—62no—
336#124—62no—
337C22⋊Q8—68no—
338C4×Q8—34no—
339C4×Q8—62no—
340C4×Q8—62no—
341C4×Q8—62no—
342C4×Q8—62no—
343C4×Q8—62no—
344C4×D4—62no—
345C4×D4—62no—
346C4×D4—62no—
347C4×D4—62no—
348#117—68no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—31no—
353C2×C4⋊C4—31no—
354C2×C4⋊C4—31no—
355C2×C4⋊C4—31no—
356C2×C4⋊C4—31no—
357C2×C4⋊C4—61no—
358C2×C4⋊C4—61no—
359C2×C4⋊C4—61no—
360C2×C4⋊C4C22×D311yescharacteristic
361C2×C4⋊C4C22×D311yescharacteristic
362C2×C22⋊C4—61no—
363C2×C22⋊C4—61no—
364C2×C22⋊C4—61no—
365C2×C22⋊C4—61no—
366C2×C22⋊C4—61no—
367C2×C22⋊C4—61no—
368C2×C22⋊C4—61no—
369C2×C22⋊C4—61no—
370C2×C22⋊C4—61no—
371C2×C22⋊C4—61no—
372C2×C42—31no—
373C2×C42—31no—
374C2×C42—61no—
375C2×C42—61no—
376C2×C42C22×D311yescharacteristic
377#106—62no—
378C4⋊C8—62no—
379#103—22no—
380#103—22no—
381#103—41no—
382#103—41no—
383#103—62no—
384#103—121no—
385#102—62no—
386#102—62no—
387#102—62no—
388#102—121no—
389C4×C8—62no—
390#95—21no—
391#95—61no—
392#95—61no—
393#95—61no—
394C23×C3C22×D411yescharacteristic
395C22×D3—22no—
396C22×D3—22no—
397C22×D3—41no—
398C22×D3—41no—
399C22×D3—41no—
400C22×D3—41no—
401C22×D3—41no—
402C22×D3—41no—
403C22×D3—41no—
404C22×D3—41no—
405C22×D3—41no—
406C22×D3—41no—
407C22×D3—41no—
408C22×D3—41no—
409C3×Q8—22no—
410C3×Q8—22no—
411C3×Q8—22no—
412C3×Q8—22no—
413C3×Q8—41no—
414C3×Q8—41no—
415C3×Q8—41no—
416C3×Q8—41no—
417C2×C3×C4—21no—
418C2×C3×C4—21no—
419C2×C3×C4—22no—
420C2×C3×C4—22no—
421C2×C3×C4—21no—
422C2×C3×C4—21no—
423C2×C3×C4—21no—
424C2×C3×C4—41no—
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#13512yes—
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—21no—
446C2×Dic3—22no—
447C2×Dic3—21no—
448C2×Dic3—21no—
449C2×Dic3—21no—
450C2×Dic3—21no—
451C2×Dic3—21no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454C2×Dic3—41no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457C2×Dic3#12012yes—
458C2×Dic3#12012yes—
459D12—22no—
460D12—22no—
461D12—22no—
462D12—22no—
463D12—41no—
464D12—41no—
465D12—41no—
466D12—41no—
467C4×D3—48no—
468C4×D3—84no—
469Dic6—44no—
470C3×C8—41no—
471C3×C8—41no—
472C3⋊C8—22no—
473C3⋊C8—41no—
474C24—61no—
475C24—61no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—62no—
487C2×Q8—62no—
488C2×Q8—121no—
489C2×Q8D3×D412yes—
490C2×Q8D3×D412yes—
491C2×D4—32no—
492C2×D4—32no—
493C2×D4—61no—
494C2×D4—61no—
495C2×D4—61no—
496C2×D4—61no—
497C2×D4—61no—
498C2×D4—61no—
499C2×D4—61no—
500C2×D4—61no—
501C2×D4—61no—
502C2×D4—61no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—31no—
508C22×C4—31no—
509C22×C4—31no—
510C22×C4—31no—
511C22×C4—64no—
512C22×C4—61no—
513C22×C4—61no—
514C22×C4—122no—
515C22×C4—122no—
516C22×C4—122no—
517C22×C4—241no—
518C22×C4—241no—
519C22×C4D3×D411yescharacteristic
520C22×C4D3×D411yescharacteristic
521C22×C4C23×D311yescharacteristic
522SD16—68no—
523SD16—124no—
524D8—124no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—32no—
532C2×C8—61no—
533C2×C8—61no—
534C2×C8—61no—
535C2×C8—61no—
536C2×C8—61no—
537C4⋊C4—24no—
538C4⋊C4—24no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—32no—
544C4⋊C4—62no—
545C4⋊C4—62no—
546C4⋊C4—62no—
547C4⋊C4—64no—
548C4⋊C4—64no—
549C4⋊C4—61no—
550C4⋊C4—61no—
551C4⋊C4—61no—
552C4⋊C4—81no—
553C4⋊C4—241no—
554C22⋊C4—64no—
555C22⋊C4—64no—
556C22⋊C4—64no—
557C22⋊C4—64no—
558C22⋊C4—64no—
559C22⋊C4—122no—
560C22⋊C4—122no—
561C22⋊C4—122no—
562C22⋊C4—241no—
563C22⋊C4—241no—
564C42—21no—
565C42—21no—
566C42—32no—
567C42—32no—
568C42—64no—
569C42—64no—
570C42—61no—
571C42—61no—
572C22×C3C2×#12011yescharacteristic
573C22×C3#54811yescharacteristic
574C22×C3#55011yescharacteristic
575C22×C3C2×#13511yescharacteristic
576C22×C3#57511yescharacteristic
577C22×C3#57711yescharacteristic
578C22×C3#57711yescharacteristic
579C2×D3—42no—
580C2×D3—42no—
581C2×D3—42no—
582C2×D3—42no—
583C2×D3—42no—
584C2×D3—42no—
585C2×D3—81no—
586C2×D3—81no—
587C2×D3—81no—
588C2×D3—81no—
589C2×D3—81no—
590C2×D3—81no—
591C2×D3—81no—
592C2×D3—81no—
593C3×C4—22no—
594C3×C4—42no—
595C3×C4—42no—
596C3×C4—41no—
597C3×C4—81no—
598C3×C4—81no—
599C3×C4#52511yescharacteristic
600C3×C4#53711yescharacteristic
601C3×C4#54611yescharacteristic
602C3×C4#54711yescharacteristic
603Dic3—22no—
604Dic3—22no—
605Dic3—41no—
606Dic3—42no—
607Dic3—41no—
608Dic3—81no—
609C23—62no—
610C23—62no—
611C23—121no—
612C23—121no—
613C23—121no—
614C23—121no—
615C23—121no—
616C23—121no—
617C23—121no—
618C23—121no—
619C23—121no—
620C23—121no—
621C23—121no—
622C23—121no—
623C23C2×D3×D411yescharacteristic
624Q8—22no—
625Q8—22no—
626Q8—22no—
627Q8—22no—
628Q8—41no—
629Q8—41no—
630Q8—41no—
631Q8—41no—
632Q8—124no—
633D4—62no—
634D4—62no—
635D4—62no—
636D4—62no—
637D4—121no—
638D4—121no—
639D4—121no—
640D4—121no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—32no—
649C2×C4—32no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—61no—
661C2×C4—61no—
662C2×C4—61no—
663C2×C4—61no—
664C2×C4—61no—
665C2×C4—61no—
666C2×C4—61no—
667C2×C4—61no—
668C2×C4—61no—
669C2×C4—62no—
670C2×C4—61no—
671C2×C4—128no—
672C2×C4—121no—
673C2×C4—121no—
674C2×C4—121no—
675C2×C4—121no—
676C2×C4—121no—
677C2×C4—244no—
678C2×C4#91912yes—
679C2×C4C2×D3×D411yescharacteristic
680C2×C4C2×D3×D411yescharacteristic
681C2×C4#100411yescharacteristic
682C2×C4D3×#4111yescharacteristic
683C2×C4D3×#4111yescharacteristic
684C2×C4#101011yescharacteristic
685C8—41no—
686C8—41no—
687C8—62no—
688C8—121no—
689C2×C3#240711yescharacteristic
690C2×C3#300211yescharacteristic
691C2×C3#301011yescharacteristic
692C2×C3#336011yescharacteristic
693C2×C3#337611yescharacteristic
694C2×C3#339411yescharacteristic
695C2×C3#340111yescharacteristic
696D3—82no—
697D3—82no—
698C22—122no—
699C22—122no—
700C22—122no—
701C22—122no—
702C22—122no—
703C22—122no—
704C22—241no—
705C22—241no—
706C22—241no—
707C22—241no—
708C22—241no—
709C22—241no—
710C22—241no—
711C22—241no—
712C22D3×#12011yescharacteristic
713C22#559911yescharacteristic
714C22#567711yescharacteristic
715C22#576211yescharacteristic
716C22C2×#91911yescharacteristic
717C22#577711yescharacteristic
718C22#577811yescharacteristic
719C4—22no—
720C4—42no—
721C4—42no—
722C4—41no—
723C4—62no—
724C4—62no—
725C4—81no—
726C4—81no—
727C4—121no—
728C4—122no—
729C4—121no—
730C4—241no—
731C4#559711yescharacteristic
732C4#561011yescharacteristic
733C4#565511yescharacteristic
734C4#565611yescharacteristic
735C3#2419311yescharacteristic, complemented, Sylow
736C2—242no—
737C2—242no—
738C2#7689411yescharacteristic
739C2#8004111yescharacteristic
740C2#8018211yescharacteristic
741C2#8042411yescharacteristic
742C2#8047211yescharacteristic
743C2#8162111yescharacteristic
744C2#8173411yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2043C2
socleC23×C3C22×D4
prime radicalC22×D24C22
hypercenter#2043D3
hypocenterC3#24193
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2043

Complements

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

NH ≅ G/Ntype
1. C2×#5732C2semidirect
3. C2×#4788C2semidirect
4. #76075C2semidirect
5. C3×#2043C2semidirect
6. #71791C2semidirect
7. #70279C2semidirect
9. #70240C2semidirect
10. #70237C2semidirect
11. #70226C2semidirect
12. #70222C2semidirect
13. #69626C2semidirect
15. #68619C2semidirect
68. #2043D3semidirect
735. C3#24193semidirect

Maximal subgroups

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

subgroupindex
C2×#57322
C2×#48192
C2×#47882
#760752
C3×#20432
#717912
#702792
#702772
#702402
#702372
#702262
#702222
#696262
#686732
#686192
#241933