Finite Group Databasebeta

← #10833989

Subgroups — #10833989

Order 768.

986 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2624C211yesmaximal, characteristic, complemented
2C2×#5037C211yesmaximal, characteristic
3#82270C211yesmaximal, characteristic, complemented
4C2×#5000C211yesmaximal, characteristic, complemented
5#71677C211yesmaximal, characteristic, complemented
6#69651C211yesmaximal, characteristic, complemented
7#69650C211yesmaximal, characteristic, complemented
8#69649C211yesmaximal, characteristic, complemented
9#69647C211yesmaximal, characteristic, complemented
10#69635C211yesmaximal, characteristic, complemented
11#69630C211yesmaximal, characteristic, complemented
12#69617C211yesmaximal, characteristic, complemented
13#69614C211yesmaximal, characteristic, complemented
14#69522C211yesmaximal, characteristic, complemented
15#69504C211yesmaximal, characteristic, complemented
16#24513—31nomaximal, Sylow
17C22×#235C2211yescharacteristic
18C2×C3×#121C2211yescharacteristic
19C2×C3×#117C2211yescharacteristic
20C22×#214C2211yescharacteristic
21C22×#213C2211yescharacteristic
22C22×C4⋊Dic3C2211yescharacteristic
23C3×#399—21no—
24C3×#397—21no—
25C3×#394—21no—
26C3×#394—21no—
27C3×#390C2211yescharacteristic
28C3×#390C2211yescharacteristic
29C3×#389C2211yescharacteristic
30C3×#389C2211yescharacteristic
31C3×#380C2211yescharacteristic
32C2×#832C2211yescharacteristic
33C2×#832C2211yescharacteristic
34C2×#830C2211yescharacteristic
35C2×#830C2211yescharacteristic
36#5037—24no—
37#5000—24no—
38#4987—21no—
39#4987—21no—
40C2×#810C2211yescharacteristic
41C2×#810C2211yescharacteristic
42C2×#810C2211yescharacteristic
43C2×#809C2211yescharacteristic
44C2×#809C2211yescharacteristic
45C2×#809C2211yescharacteristic
46C2×#807C2211yescharacteristic
47C2×#807C2211yescharacteristic
48#4958—21no—
49#4958—21no—
50#4939C2211yescharacteristic
51#4939C2211yescharacteristic
52#4929C2211yescharacteristic
53#4929C2211yescharacteristic
54C2×C4⋊(C3⋊C8)C2211yescharacteristic
55C2×C4⋊(C3⋊C8)C2211yescharacteristic
56C2×#803C2211yescharacteristic
57C2×C4×C3⋊C8C2211yescharacteristic
58#4529C2211yescharacteristic
59#4529C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62C2×#449—31no—
63C2×#433—31no—
64#2624D311yescharacteristic, complemented
65#2311—31no—
66#2068—31no—
67#2067—31no—
68#2055—31no—
69#2054—31no—
70#1973—31no—
71#1970—31no—
72#1936—31no—
73#1933—31no—
74#1874—31no—
75#1852—31no—
76#1788—31no—
77C22×C3×D4—21no—
78C22×C3×D4C2311yescharacteristic
79C23×C3×C4C2311yescharacteristic
80C22×#67—21no—
81C23×Dic3—21no—
82C2×#235—22no—
83C2×#235—22no—
84C2×#235—22no—
85C2×#235—22no—
86C2×#235—41no—
87C2×#235—41no—
88C22×D12C2311yescharacteristic
89C22×C4×D3—21no—
90C22×Dic6C2311yescharacteristic
91C3×#121—22no—
92C3×#121—22no—
93C3×#117—22no—
94C3×#117—22no—
95C2×C3×C4⋊C4—21no—
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4D411yescharacteristic
98C2×C3×C4⋊C4D411yescharacteristic
99C2×C3×C4⋊C4C2311yescharacteristic
100C2×C3×C4⋊C4C2311yescharacteristic
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C22⋊C4—21no—
103C2×C3×C22⋊C4—21no—
104C2×C3×C22⋊C4—21no—
105C2×C3×C22⋊C4—21no—
106C2×C3×C22⋊C4—21no—
107C2×C3×C22⋊C4—21no—
108C2×C3×C22⋊C4D411yescharacteristic
109C2×C3×C22⋊C4D411yescharacteristic
110C2×C3×C42C2311yescharacteristic
111C2×C3×C42C2311yescharacteristic
112C2×#214—22no—
113C2×#214—22no—
114C2×#214—41no—
115C2×#213—22no—
116C2×#213—22no—
117C2×#213—41no—
118C2×(C2×D3)⋊C4—21no—
119C2×(C2×D3)⋊C4—21no—
120C2×(C2×D3)⋊C4—21no—
121C2×(C2×D3)⋊C4—21no—
122C2×C4⋊Dic3—21no—
123C2×C4⋊Dic3—41no—
124C2×C4⋊Dic3—41no—
125C2×C4⋊Dic3C2311yescharacteristic
126C2×C4⋊Dic3C2311yescharacteristic
127C22×C3⋊C8C2311yescharacteristic
128C22×C3⋊C8C2311yescharacteristic
129C22×C3⋊C8C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131C3×#95—21no—
132C3×#95—21no—
133C3×#95—21no—
134#832—41no—
135#832—41no—
136C3⋊#95—21no—
137C3⋊#95—21no—
138C3⋊#95—21no—
139C3⋊#95—21no—
140#830—22no—
141#830D414yes—
142#810—22no—
143#810—22no—
144#810—41no—
145#809—22no—
146#809—22no—
147#809—41no—
148#807—41no—
149#807—41no—
150C4⋊(C3⋊C8)—22no—
151C4⋊(C3⋊C8)—22no—
152#803—22no—
153C4×C3⋊C8—22no—
154C22×#41—31no—
155C22×SD16—31no—
156C22×D8—31no—
157C2×#121C2×D311yescharacteristic
158C2×#117C2×D311yescharacteristic
159C22×C4⋊C4—31no—
160#449—64no—
161#433—64no—
162C2×#107—31no—
163C2×#107—31no—
164C2×C4⋊C8—31no—
165C2×C4⋊C8—31no—
166C2×#103—31no—
167C2×#103—31no—
168C2×#103—31no—
169C2×#102—31no—
170C2×#102—31no—
171C2×#102—31no—
172C2×#102—31no—
173C2×#102—31no—
174C2×C22⋊C8—31no—
175C2×C22⋊C8—31no—
176C2×#97—31no—
177C2×C4×C8—31no—
178#399—21no—
179#397—21no—
180#394—21no—
181#394—21no—
182#391—31no—
183#391—31no—
184#390—31no—
185#390—31no—
186#390C2×D311yescharacteristic
187#390C2×D311yescharacteristic
188#389C2×D311yescharacteristic
189#389C2×D311yescharacteristic
190#386—61no—
191#386—61no—
192#380—61no—
193#380—61no—
194#380C2×D311yescharacteristic
195#340—31no—
196#340—31no—
197#340—31no—
198#340—31no—
199C24×C3—21no—
200C24×C3C2×D411yescharacteristic
201C23×D3—21no—
202C2×C3×D4—21no—
203C2×C3×D4—21no—
204C2×C3×D4—21no—
205C2×C3×D4—21no—
206C2×C3×D4—21no—
207C2×C3×D4—21no—
208C2×C3×D4—42no—
209C2×C3×D4—81no—
210C2×C3×D4—81no—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4C2×D412yes—
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4C2×D411yescharacteristic
221C22×C3×C4C2×D411yescharacteristic
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4#4112yes—
225C22×C3×C4C2411yescharacteristic
226C2×#67—24no—
227C2×#67—42no—
228C2×#67—42no—
229C22×Dic3—21no—
230C22×Dic3—21no—
231C22×Dic3—21no—
232C22×Dic3—42no—
233C22×Dic3—81no—
234C22×Dic3—81no—
235#235—44no—
236#235—44no—
237#235—44no—
238#235—44no—
239C2×D12—21no—
240C2×D12—21no—
241C2×D12—21no—
242C2×D12—21no—
243C2×D12—21no—
244C2×D12#4112yes—
245C2×C4×D3—24no—
246C2×C4×D3—42no—
247C2×C4×D3—42no—
248C2×Dic6—21no—
249C2×Dic6—21no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6#4112yes—
254C3×C4⋊C4—22no—
255C3×C4⋊C4—22no—
256C3×C4⋊C4—21no—
257C3×C4⋊C4—21no—
258C3×C4⋊C4—21no—
259C3×C4⋊C4—21no—
260C3×C4⋊C4—21no—
261C3×C4⋊C4—21no—
262C3×C4⋊C4—81no—
263C3×C4⋊C4—81no—
264C3×C22⋊C4—22no—
265C3×C22⋊C4—22no—
266C3×C22⋊C4—42no—
267C3×C22⋊C4—81no—
268C3×C22⋊C4—81no—
269C3×C22⋊C4—81no—
270C3×C22⋊C4—81no—
271C3×C22⋊C4—81no—
272C3×C42—21no—
273C3×C42—21no—
274C3×C42—21no—
275C3×C42—21no—
276#214—44no—
277#213—44no—
278(C2×D3)⋊C4—81no—
279(C2×D3)⋊C4—81no—
280(C2×D3)⋊C4—81no—
281(C2×D3)⋊C4—81no—
282C4⋊Dic3—21no—
283C4⋊Dic3—21no—
284C4⋊Dic3—21no—
285C4⋊Dic3—21no—
286C4⋊Dic3—42no—
287C2×C3⋊C8—21no—
288C2×C3⋊C8—21no—
289C2×C3⋊C8—21no—
290C2×C3⋊C8—21no—
291C2×C3⋊C8—21no—
292C2×C3⋊C8—21no—
293C2×C3⋊C8—21no—
294C2×C3⋊C8—21no—
295C2×C3⋊C8—21no—
296C2×C3⋊C8—21no—
297C2×C3⋊C8C2×D412yes—
298C2×C3⋊C8C2×D412yes—
299C2×#41—62no—
300C2×#41—62no—
301C2×#41—62no—
302C2×#41—62no—
303C2×#41—121no—
304C2×#41—121no—
305C22×Q8—31no—
306C22×D4—21no—
307C22×D4—31no—
308C22×D4—61no—
309C22×D4C22×D311yescharacteristic
310C23×C4—61no—
311C23×C4—61no—
312C23×C4C22×D311yescharacteristic
313C2×SD16—62no—
314C2×SD16—62no—
315C2×SD16—121no—
316C2×D8—62no—
317C2×D8—62no—
318C2×D8—121no—
319C22×C8—31no—
320C22×C8—31no—
321C22×C8—31no—
322C22×C8—31no—
323#121—22no—
324#121—22no—
325#117—22no—
326#117—22no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—31no—
330C2×C4⋊C4—31no—
331C2×C4⋊C4—61no—
332C2×C4⋊C4—121no—
333C2×C4⋊C4—121no—
334C2×C4⋊C4#6711yescharacteristic
335C2×C4⋊C4#6711yescharacteristic
336C2×C4⋊C4C22×D311yescharacteristic
337C2×C4⋊C4C22×D311yescharacteristic
338C2×C4⋊C4C22×D311yescharacteristic
339C2×C22⋊C4—21no—
340C2×C22⋊C4—21no—
341C2×C22⋊C4—21no—
342C2×C22⋊C4—21no—
343C2×C22⋊C4—21no—
344C2×C22⋊C4—21no—
345C2×C22⋊C4—61no—
346C2×C22⋊C4—61no—
347C2×C22⋊C4—61no—
348C2×C22⋊C4—61no—
349C2×C22⋊C4#6711yescharacteristic
350C2×C22⋊C4#6711yescharacteristic
351C2×C42C22×D311yescharacteristic
352C2×C42C22×D311yescharacteristic
353#107—121no—
354#107—121no—
355C4⋊C8—62no—
356C4⋊C8—62no—
357#103—62no—
358#103—62no—
359#103—121no—
360#102—62no—
361#102—62no—
362#102—121no—
363#102—121no—
364#102—121no—
365C22⋊C8—34no—
366C22⋊C8—62no—
367#97—62no—
368C4×C8—62no—
369#95—21no—
370#95—21no—
371#95—21no—
372#95—61no—
373#95—61no—
374#95—61no—
375#95—61no—
376C23×C3—21no—
377C23×C3—21no—
378C23×C3—21no—
379C23×C3—21no—
380C23×C3—21no—
381C23×C3—21no—
382C23×C3—41no—
383C23×C3—41no—
384C23×C3—41no—
385C23×C3—41no—
386C23×C3—41no—
387C23×C3—41no—
388C23×C3—41no—
389C23×C3#12112yes—
390C23×C3C22×D411yescharacteristic
391C22×D3—22no—
392C22×D3—41no—
393C22×D3—41no—
394C22×D3—41no—
395C22×D3—41no—
396C22×D3—41no—
397C22×D3—41no—
398C3×D4—41no—
399C3×D4—41no—
400C3×D4—41no—
401C3×D4—41no—
402C3×D4—84no—
403C2×C3×C4—21no—
404C2×C3×C4—21no—
405C2×C3×C4—22no—
406C2×C3×C4—22no—
407C2×C3×C4—22no—
408C2×C3×C4—22no—
409C2×C3×C4—21no—
410C2×C3×C4—21no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—21no—
419C2×C3×C4—21no—
420C2×C3×C4—21no—
421C2×C3×C4—41no—
422C2×C3×C4—41no—
423C2×C3×C4—41no—
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#12112yes—
431C2×C3×C4C22×D411yescharacteristic
432C2×C3×C4C2×#4111yescharacteristic
433C2×C3×C4C2×#4111yescharacteristic
434C2×C3×C4C2×#4111yescharacteristic
435C2×C3×C4H(5,𝔽2)11yescharacteristic
436C2×C3×C4H(5,𝔽2)11yescharacteristic
437#67—48no—
438C2×Dic3—22no—
439C2×Dic3—41no—
440C2×Dic3—41no—
441C2×Dic3—41no—
442C2×Dic3—41no—
443C2×Dic3—41no—
444C2×Dic3—41no—
445C2×Dic3—41no—
446C2×Dic3—41no—
447C2×Dic3—84no—
448D12—22no—
449D12—22no—
450D12—41no—
451D12—41no—
452C4×D3—48no—
453Dic6—22no—
454Dic6—22no—
455Dic6—41no—
456Dic6—41no—
457C3⋊C8—22no—
458C3⋊C8—22no—
459C3⋊C8—41no—
460C3⋊C8—41no—
461C24—21no—
462C24—61no—
463C24C2×#6711yescharacteristic
464#41—124no—
465#41—124no—
466#41—124no—
467#41—124no—
468C2×Q8—32no—
469C2×Q8—61no—
470C2×Q8—61no—
471C2×Q8—61no—
472C2×Q8—61no—
473C2×Q8—61no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—32no—
481C2×D4—42no—
482C2×D4—64no—
483C2×D4—61no—
484C2×D4—61no—
485C2×D4—61no—
486C2×D4—61no—
487C2×D4—61no—
488C2×D4—81no—
489C2×D4—81no—
490C2×D4—122no—
491C2×D4—122no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—64no—
500C22×C4—61no—
501C22×C4—61no—
502C22×C4—61no—
503C22×C4—122no—
504C22×C4—122no—
505C22×C4—122no—
506C22×C4—241no—
507C22×C4—241no—
508C22×C4D3×D412yes—
509C22×C4#23712yes—
510C22×C4C2×#6711yescharacteristic
511C22×C4C2×#6711yescharacteristic
512C22×C4C2×#6711yescharacteristic
513C22×C4C2×#6711yescharacteristic
514C22×C4C2×#6711yescharacteristic
515C22×C4C23×D311yescharacteristic
516SD16—124no—
517D8—124no—
518C2×C8—32no—
519C2×C8—32no—
520C2×C8—61no—
521C2×C8—61no—
522C2×C8—61no—
523C2×C8—61no—
524C2×C8—61no—
525C2×C8—61no—
526C2×C8—61no—
527C2×C8—61no—
528C2×C8—61no—
529C2×C8—61no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—61no—
539C4⋊C4—61no—
540C4⋊C4—61no—
541C4⋊C4—61no—
542C4⋊C4—81no—
543C4⋊C4—81no—
544C4⋊C4—122no—
545C22⋊C4—22no—
546C22⋊C4—22no—
547C22⋊C4—42no—
548C22⋊C4—81no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C22⋊C4—81no—
553C22⋊C4—241no—
554C22⋊C4—241no—
555C22⋊C4—241no—
556C22⋊C4—241no—
557C42—21no—
558C42—21no—
559C42—21no—
560C42—21no—
561C22×C3—22no—
562C22×C3—22no—
563C22×C3—22no—
564C22×C3—41no—
565C22×C3—41no—
566C22×C3—41no—
567C22×C3—41no—
568C22×C3—81no—
569C22×C3—81no—
570C22×C3—81no—
571C22×C3—81no—
572C22×C3—81no—
573C22×C3—81no—
574C22×C3—81no—
575C22×C3C2×#12111yescharacteristic
576C22×C3#52511yescharacteristic
577C22×C3#53511yescharacteristic
578C22×C3#57611yescharacteristic
579C22×C3#57611yescharacteristic
580C22×C3#57711yescharacteristic
581C22×C3#57811yescharacteristic
582C2×D3—42no—
583C2×D3—42no—
584C2×D3—42no—
585C2×D3—81no—
586C2×D3—81no—
587C2×D3—81no—
588C2×D3—81no—
589C3×C4—22no—
590C3×C4—41no—
591C3×C4—41no—
592C3×C4—41no—
593C3×C4—41no—
594C3×C4—81no—
595C3×C4—81no—
596C3×C4—81no—
597C3×C4#54611yescharacteristic
598C3×C4#54611yescharacteristic
599C3×C4#55111yescharacteristic
600C3×C4#55111yescharacteristic
601Dic3—42no—
602Dic3—81no—
603Dic3—81no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—62no—
618C23—121no—
619C23—121no—
620C23—121no—
621C23—121no—
622C23—121no—
623C23—121no—
624C23#93912yes—
625C23C22×#6711yescharacteristic
626Q8—62no—
627Q8—62no—
628Q8—121no—
629Q8—121no—
630D4—41no—
631D4—41no—
632D4—41no—
633D4—41no—
634D4—62no—
635D4—62no—
636D4—84no—
637D4—128no—
638D4—121no—
639D4—121no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
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—41no—
667C2×C4—62no—
668C2×C4—128no—
669C2×C4—121no—
670C2×C4—121no—
671C2×C4—121no—
672C2×C4—121no—
673C2×C4—121no—
674C2×C4—121no—
675C2×C4—121no—
676C2×C4—121no—
677C2×C4—244no—
678C2×C4#93912yes—
679C2×C4C2×D3×D411yescharacteristic
680C2×C4C2×#23711yescharacteristic
681C2×C4D3×#4111yescharacteristic
682C2×C4D3×#4111yescharacteristic
683C2×C4#100911yescharacteristic
684C2×C4#100911yescharacteristic
685C8—62no—
686C8—62no—
687C8—121no—
688C8—121no—
689C2×C3—42no—
690C2×C3—161no—
691C2×C3#241111yescharacteristic
692C2×C3#306111yescharacteristic
693C2×C3#306211yescharacteristic
694C2×C3#311911yescharacteristic
695C2×C3#312411yescharacteristic
696C2×C3#322011yescharacteristic
697C2×C3#322511yescharacteristic
698D3—82no—
699C22—22no—
700C22—22no—
701C22—22no—
702C22—41no—
703C22—41no—
704C22—41no—
705C22—41no—
706C22—81no—
707C22—81no—
708C22—81no—
709C22—81no—
710C22—81no—
711C22—81no—
712C22—81no—
713C22—122no—
714C22—122no—
715C22—122no—
716C22—241no—
717C22—241no—
718C22—241no—
719C22—241no—
720C22C2×#93911yescharacteristic
721C22#582811yescharacteristic
722C22#583011yescharacteristic
723C22#583511yescharacteristic
724C22#583511yescharacteristic
725C22#583611yescharacteristic
726C22#583811yescharacteristic
727C4—22no—
728C4—41no—
729C4—41no—
730C4—41no—
731C4—41no—
732C4—81no—
733C4—81no—
734C4—81no—
735C4—122no—
736C4—241no—
737C4—241no—
738C4#565411yescharacteristic
739C4#565411yescharacteristic
740C4#565811yescharacteristic
741C4#565811yescharacteristic
742C3#2451311yescharacteristic, complemented, Sylow
743C2—42no—
744C2—161no—
745C2—242no—
746C2#8289411yescharacteristic
747C2#8337911yescharacteristic
748C2#8342111yescharacteristic
749C2#8343411yescharacteristic
750C2#8343611yescharacteristic
751C2#8346111yescharacteristic
752C2#8346411yescharacteristic
subgroupG/H
centerC23C22×#67
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2624C2
socleC23×C3C22×D4
prime radicalC2×#5037C2
hypercenter#2624D3
hypocenterC3#24513
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2624

Complements

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

NH ≅ G/Ntype
1. C3×#2624C2semidirect
3. #82270C2semidirect
4. C2×#5000C2semidirect
5. #71677C2semidirect
6. #69651C2semidirect
7. #69650C2semidirect
8. #69649C2semidirect
9. #69647C2semidirect
10. #69635C2semidirect
11. #69630C2semidirect
12. #69617C2semidirect
13. #69614C2semidirect
14. #69522C2semidirect
15. #69504C2semidirect
64. #2624D3semidirect
742. C3#24513semidirect

Maximal subgroups

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

subgroupindex
C3×#26242
C2×#50372
#822702
C2×#50002
#716772
#696512
#696502
#696492
#696472
#696352
#696302
#696172
#696142
#695222
#695042
#245133