Finite Group Databasebeta

← #10835957

Subgroups — #10835957

Order 768.

912 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
1C2×C3×#463C211yesmaximal, characteristic, complemented
2#83001C211yesmaximal, characteristic, complemented
3#82396C211yesmaximal, characteristic, complemented
4C2×#4840C211yesmaximal, characteristic, complemented
5#72054C211yesmaximal, characteristic, complemented
6#72049C211yesmaximal, characteristic, complemented
7#72043C211yesmaximal, characteristic
8#72039C211yesmaximal, characteristic, complemented
9#71721C211yesmaximal, characteristic, complemented
10#71604C211yesmaximal, characteristic, complemented
11#70454C211yesmaximal, characteristic, complemented
12#70256C211yesmaximal, characteristic, complemented
13#70243C211yesmaximal, characteristic, complemented
14#70186C211yesmaximal, characteristic, complemented
15#70176C211yesmaximal, characteristic, complemented
16#24667—31nomaximal, Sylow
17C22×C3×SD16C2211yescharacteristic
18C22×C3×D8C2211yescharacteristic
19C2×C3×#124C2211yescharacteristic
20C2×C3×C4×D4C2211yescharacteristic
21C2×#946C2211yescharacteristic
22C2×#938C2211yescharacteristic
23C2×#938C2211yescharacteristic
24C2×#872C2211yescharacteristic
25C3×#463—24no—
26C2×C3×C4⋊C8C2211yescharacteristic
27C2×C3×#103C2211yescharacteristic
28C2×C3×#102C2211yescharacteristic
29#5229C2211yescharacteristic
30C2×#835C2211yescharacteristic
31C2×#835C2211yescharacteristic
32#5221C2211yescharacteristic
33#5221C2211yescharacteristic
34C2×#832C2211yescharacteristic
35C2×#832C2211yescharacteristic
36C2×#832C2211yescharacteristic
37C2×#832C2211yescharacteristic
38#5213—21no—
39#5210—21no—
40C2×(C2×D3)⋊C8C2211yescharacteristic
41C2×(C2×D3)⋊C8C2211yescharacteristic
42C2×#817C2211yescharacteristic
43C2×#817C2211yescharacteristic
44C2×#815C2211yescharacteristic
45C2×C8×Dic3C2211yescharacteristic
46#4987C2211yescharacteristic
47#4972C2211yescharacteristic
48#4961—21no—
49#4961—21no—
50#4957—21no—
51#4948—21no—
52#4948—21no—
53#4945—21no—
54#4935C2211yescharacteristic
55C4×C4⋊Dic3C2211yescharacteristic
56C2×C4⋊(C3⋊C8)C2211yescharacteristic
57#4840—24no—
58#4551C2211yescharacteristic
59#4551C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62C2×#463D311yescharacteristic, complemented
63C2×#433—31no—
64#2620—31no—
65#2324—31no—
66#2035—31no—
67#2034—31no—
68#2000—31no—
69#1999—31no—
70#1983—31no—
71#1972—31no—
72#1968—31no—
73#1948—31no—
74#1935—31no—
75#1934—31no—
76#1802—31no—
77C22×C3×Q8C2311yescharacteristic
78C22×C3×D4C2311yescharacteristic
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4—21no—
81C22×#67—21no—
82C22×#67—21no—
83C22×C4×D3C2311yescharacteristic
84C2×C3×SD16—22no—
85C2×C3×SD16—22no—
86C2×C3×SD16—41no—
87C2×C3×D8—22no—
88C2×C3×D8—22no—
89C2×C3×D8—41no—
90C22×C3×C8C2311yescharacteristic
91C22×C3×C8C2311yescharacteristic
92C3×#124—22no—
93C3×#124—22no—
94C3×C4×D4—22no—
95C3×C4×D4—22no—
96C2×C3×C4⋊C4C2311yescharacteristic
97C2×C3×C22⋊C4—21no—
98C2×C3×C22⋊C4—21no—
99C2×C3×C22⋊C4—21no—
100C2×C3×C42C2311yescharacteristic
101C2×#217—21no—
102C2×#217—21no—
103C2×#217—21no—
104C2×#217—21no—
105C2×#217—21no—
106C2×#217—21no—
107#946—41no—
108#946—41no—
109#938—22no—
110#938—22no—
111#938—41no—
112#938—41no—
113C2×(C2×D3)⋊C4—21no—
114C2×(C2×D3)⋊C4—21no—
115C2×(C2×D3)⋊C4D411yescharacteristic
116C2×(C2×D3)⋊C4D411yescharacteristic
117C2×C4⋊Dic3—21no—
118C2×C4⋊Dic3—21no—
119C2×C4⋊Dic3C2311yescharacteristic
120C2×C4⋊Dic3C2311yescharacteristic
121C2×C4⋊Dic3C2311yescharacteristic
122C2×C4⋊Dic3C2311yescharacteristic
123C2×Dic3⋊C4—21no—
124C2×Dic3⋊C4—21no—
125C2×Dic3⋊C4D411yescharacteristic
126C2×Dic3⋊C4D411yescharacteristic
127C2×C4×Dic3—21no—
128C2×C4×Dic3C2311yescharacteristic
129C22×C3⋊C8C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131#872—22no—
132#872—22no—
133C3×C4⋊C8D414yescomplemented
134C3×#103—22no—
135C3×#102—22no—
136#835—22no—
137#835—41no—
138#832—22no—
139#832—41no—
140#832—41no—
141#832—41no—
142C3⋊#95—21no—
143C3⋊#95—21no—
144C3⋊#95—21no—
145C3⋊#95—21no—
146C3⋊#95—21no—
147(C2×D3)⋊C8—22no—
148(C2×D3)⋊C8—22no—
149#817—41no—
150#817—41no—
151#815—22no—
152C8×Dic3—22no—
153C4⋊(C3⋊C8)—22no—
154C22×SD16C2×D311yescharacteristic
155C22×D8C2×D311yescharacteristic
156C2×#124C2×D311yescharacteristic
157C2×C22⋊Q8—31no—
158C2×#121—31no—
159C2×#121—31no—
160C2×C4×D4C2×D311yescharacteristic
161C2×#117—31no—
162#463—24no—
163#433—64no—
164C2×#106—31no—
165C2×#106—31no—
166C2×C4⋊C8—31no—
167C2×C4⋊C8C2×D311yescharacteristic
168C2×#103—31no—
169C2×#103—31no—
170C2×#103C2×D311yescharacteristic
171C2×#102—31no—
172C2×#102—31no—
173C2×#102—31no—
174C2×#102—31no—
175C2×#102C2×D311yescharacteristic
176C2×C22⋊C8—31no—
177C2×C22⋊C8—31no—
178C2×#97—31no—
179C2×C4×C8—31no—
180#396—61no—
181#396—61no—
182#394—61no—
183#394—61no—
184#391—31no—
185#390—31no—
186#390—31no—
187#390—61no—
188#389—31no—
189#388—61no—
190#386—61no—
191#385—61no—
192#384—31no—
193#380—31no—
194C4×C4⋊C4—31no—
195#340—31no—
196#340—31no—
197#340—31no—
198#340—31no—
199C24×C3—21no—
200C24×C3—21no—
201C23×D3C2×D411yescharacteristic
202C2×C3×Q8—21no—
203C2×C3×Q8—21no—
204C2×C3×Q8—21no—
205C2×C3×Q8—21no—
206C2×C3×Q8—21no—
207C2×C3×Q8—21no—
208C2×C3×D4—21no—
209C2×C3×D4—21no—
210C2×C3×D4—21no—
211C2×C3×D4—21no—
212C2×C3×D4—21no—
213C2×C3×D4—21no—
214C2×C3×D4—21no—
215C2×C3×D4—21no—
216C2×C3×D4—21no—
217C2×C3×D4—21no—
218C2×C3×D4—21no—
219C2×C3×D4#4112yes—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—42no—
223C22×C3×C4—81no—
224C22×C3×C4—81no—
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2×D411yescharacteristic
227C22×C3×C4C2411yescharacteristic
228C2×#67—24no—
229C2×#67—42no—
230C2×#67—81no—
231C2×#67—81no—
232C2×#67—81no—
233C2×#67—81no—
234C22×Dic3—21no—
235C22×Dic3—21no—
236C22×Dic3—21no—
237C22×Dic3—21no—
238C22×Dic3C2×D411yescharacteristic
239C22×Dic3C2×D411yescharacteristic
240C22×Dic3C2×D411yescharacteristic
241C2×C4×D3—21no—
242C2×C4×D3—21no—
243C2×C4×D3—21no—
244C2×C4×D3—21no—
245C2×C4×D3—21no—
246C2×C4×D3—21no—
247C3×SD16—44no—
248C3×D8—44no—
249C2×C3×C8—21no—
250C2×C3×C8—21no—
251C2×C3×C8—21no—
252C2×C3×C8—21no—
253C2×C3×C8C2×D412yes—
254C2×C3×C8C2×D412yes—
255C3×C4⋊C4—21no—
256C3×C4⋊C4—21no—
257C3×C22⋊C4—42no—
258C3×C22⋊C4—42no—
259C3×C22⋊C4—42no—
260C3×C42C2×D412yes—
261C3×C42#4112yes—
262#217—24no—
263#217—42no—
264#217—81no—
265#217—81no—
266#217—81no—
267#217—81no—
268(C2×D3)⋊C4—22no—
269(C2×D3)⋊C4—22no—
270(C2×D3)⋊C4—42no—
271(C2×D3)⋊C4—81no—
272C4⋊Dic3—21no—
273C4⋊Dic3—21no—
274C4⋊Dic3—21no—
275C4⋊Dic3—21no—
276C4⋊Dic3—21no—
277C4⋊Dic3—21no—
278C4⋊Dic3—21no—
279C4⋊Dic3—81no—
280C4⋊Dic3—81no—
281C4⋊Dic3#4112yes—
282Dic3⋊C4—22no—
283Dic3⋊C4—22no—
284Dic3⋊C4—42no—
285Dic3⋊C4—81no—
286C4×Dic3—21no—
287C4×Dic3—21no—
288C4×Dic3—81no—
289C2×C3⋊C8—21no—
290C2×C3⋊C8—21no—
291C2×C3⋊C8—21no—
292C2×C3⋊C8—21no—
293C2×C3⋊C8—21no—
294C2×C3⋊C8—21no—
295C22×Q8C22×D311yescharacteristic
296C22×D4—61no—
297C22×D4—61no—
298C22×D4C22×D311yescharacteristic
299C22×D4C22×D311yescharacteristic
300C23×C4—21no—
301C23×C4—31no—
302C2×SD16—22no—
303C2×SD16—22no—
304C2×SD16—41no—
305C2×D8—22no—
306C2×D8—22no—
307C2×D8—41no—
308C22×C8—31no—
309C22×C8—31no—
310C22×C8C22×D311yescharacteristic
311C22×C8C22×D311yescharacteristic
312#124—22no—
313#124—22no—
314C22⋊Q8—121no—
315C22⋊Q8—121no—
316#121—62no—
317#121—62no—
318#121—121no—
319#121—121no—
320C4×D4—22no—
321C4×D4—22no—
322#117—62no—
323#117—62no—
324C2×C4⋊C4—31no—
325C2×C4⋊C4—31no—
326C2×C4⋊C4—31no—
327C2×C4⋊C4—31no—
328C2×C4⋊C4—31no—
329C2×C4⋊C4—31no—
330C2×C4⋊C4—61no—
331C2×C4⋊C4—61no—
332C2×C4⋊C4—61no—
333C2×C4⋊C4—61no—
334C2×C4⋊C4C22×D311yescharacteristic
335C2×C22⋊C4—21no—
336C2×C22⋊C4—21no—
337C2×C22⋊C4—21no—
338C2×C22⋊C4—31no—
339C2×C22⋊C4—31no—
340C2×C22⋊C4—61no—
341C2×C22⋊C4—61no—
342C2×C22⋊C4—61no—
343C2×C22⋊C4—61no—
344C2×C22⋊C4—61no—
345C2×C22⋊C4—61no—
346C2×C22⋊C4—61no—
347C2×C22⋊C4—61no—
348C2×C42—31no—
349C2×C42—61no—
350C2×C42C22×D311yescharacteristic
351#106—121no—
352#106—121no—
353C4⋊C8—62no—
354C4⋊C8#6714yescomplemented
355#103—22no—
356#103—62no—
357#103—121no—
358#102—22no—
359#102—62no—
360#102—121no—
361#102—121no—
362#102—121no—
363C22⋊C8—62no—
364C22⋊C8—62no—
365#97—62no—
366C4×C8—62no—
367#95—61no—
368#95—61no—
369#95—61no—
370#95—61no—
371#95—61no—
372C23×C3—22no—
373C23×C3—41no—
374C23×C3—41no—
375C23×C3—41no—
376C23×C3—41no—
377C23×C3—41no—
378C23×C3—41no—
379C23×C3—41no—
380C23×C3—41no—
381C23×C3—41no—
382C23×C3—41no—
383C23×C3—41no—
384C23×C3—41no—
385C23×C3—41no—
386C23×C3C22×D411yescharacteristic
387C22×D3—21no—
388C22×D3—21no—
389C22×D3—21no—
390C22×D3—21no—
391C22×D3—21no—
392C22×D3—21no—
393C22×D3—21no—
394C3×Q8—41no—
395C3×Q8—41no—
396C3×Q8—41no—
397C3×Q8—41no—
398C3×D4—22no—
399C3×D4—22no—
400C3×D4—41no—
401C3×D4—41no—
402C3×D4—41no—
403C3×D4—41no—
404C3×D4—41no—
405C3×D4—41no—
406C2×C3×C4—21no—
407C2×C3×C4—21no—
408C2×C3×C4—21no—
409C2×C3×C4—21no—
410C2×C3×C4—41no—
411C2×C3×C4—41no—
412C2×C3×C4—41no—
413C2×C3×C4—41no—
414C2×C3×C4—41no—
415C2×C3×C4—41no—
416C2×C3×C4—84no—
417C2×C3×C4#12112yes—
418C2×C3×C4#12112yes—
419C2×C3×C4C22×D411yescharacteristic
420C2×C3×C4C2×#4111yescharacteristic
421C2×C3×C4C2×#4111yescharacteristic
422C2×C3×C4C2×#4111yescharacteristic
423C2×C3×C4H(5,𝔽2)11yescharacteristic
424C2×C3×C4H(5,𝔽2)11yescharacteristic
425#67—84no—
426#67—84no—
427C2×Dic3—21no—
428C2×Dic3—21no—
429C2×Dic3—21no—
430C2×Dic3—22no—
431C2×Dic3—21no—
432C2×Dic3—21no—
433C2×Dic3—21no—
434C2×Dic3—21no—
435C2×Dic3—21no—
436C2×Dic3—21no—
437C2×Dic3—41no—
438C2×Dic3—41no—
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—41no—
448C4×D3—41no—
449C4×D3—41no—
450C4×D3—41no—
451C4×D3—41no—
452C3×C8—22no—
453C3×C8—22no—
454C3⋊C8—41no—
455C3⋊C8—41no—
456C24—21no—
457C24—21no—
458C24—31no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—64no—
477C2×D4—122no—
478C2×D4—241no—
479C2×D4—241no—
480C2×D4—241no—
481C2×D4—241no—
482C2×D4#23712yes—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—31no—
486C22×C4—31no—
487C22×C4—31no—
488C22×C4—42no—
489C22×C4—61no—
490C22×C4—61no—
491C22×C4—61no—
492C22×C4—61no—
493C22×C4—61no—
494C22×C4—61no—
495C22×C4—61no—
496C22×C4—61no—
497C22×C4—61no—
498C22×C4—61no—
499C22×C4—81no—
500C22×C4—81no—
501C22×C4D3×D411yescharacteristic
502C22×C4D3×D411yescharacteristic
503C22×C4C23×D311yescharacteristic
504SD16—44no—
505D8—44no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—61no—
511C2×C8—61no—
512C2×C8—61no—
513C2×C8—61no—
514C2×C8—61no—
515C2×C8—61no—
516C2×C8C2×#6712yes—
517C2×C8C2×#6712yes—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—32no—
521C4⋊C4—62no—
522C4⋊C4—62no—
523C4⋊C4—61no—
524C4⋊C4—61no—
525C4⋊C4—61no—
526C4⋊C4—61no—
527C4⋊C4—61no—
528C4⋊C4—61no—
529C4⋊C4—61no—
530C4⋊C4—122no—
531C4⋊C4—241no—
532C4⋊C4—241no—
533C4⋊C4—241no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—64no—
538C22⋊C4—62no—
539C22⋊C4—62no—
540C22⋊C4—122no—
541C22⋊C4—122no—
542C22⋊C4—241no—
543C22⋊C4—241no—
544C22⋊C4—241no—
545C22⋊C4—241no—
546C22⋊C4—241no—
547C42—61no—
548C42—61no—
549C42—241no—
550C42#23712yes—
551C42C2×#6712yes—
552C22×C3—42no—
553C22×C3—42no—
554C22×C3—42no—
555C22×C3—81no—
556C22×C3—81no—
557C22×C3—81no—
558C22×C3—81no—
559C22×C3—81no—
560C22×C3—81no—
561C22×C3—81no—
562C22×C3—81no—
563C22×C3—81no—
564C22×C3—81no—
565C22×C3—81no—
566C22×C3C2×#12111yescharacteristic
567C22×C3#52511yescharacteristic
568C22×C3#53511yescharacteristic
569C22×C3#57611yescharacteristic
570C22×C3#57711yescharacteristic
571C22×C3#57711yescharacteristic
572C22×C3#57711yescharacteristic
573C2×D3—41no—
574C2×D3—41no—
575C2×D3—41no—
576C2×D3—41no—
577C2×D3—41no—
578C2×D3—41no—
579C2×D3—41no—
580C3×C4—22no—
581C3×C4—22no—
582C3×C4—81no—
583C3×C4—81no—
584C3×C4#54611yescharacteristic
585C3×C4#55011yescharacteristic
586C3×C4#55311yescharacteristic
587C3×C4#55511yescharacteristic
588Dic3—42no—
589Dic3—41no—
590Dic3—41no—
591Dic3—41no—
592Dic3—81no—
593Dic3—81no—
594Dic3—81no—
595C23—22no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—61no—
610C23—61no—
611C23—61no—
612C23—61no—
613C23—61no—
614C23—61no—
615C23—61no—
616C23C2×D3×D411yescharacteristic
617Q8—41no—
618Q8—41no—
619Q8—41no—
620Q8—41no—
621D4—22no—
622D4—22no—
623D4—41no—
624D4—41no—
625D4—41no—
626D4—41no—
627D4—41no—
628D4—41no—
629D4—244no—
630D4—244no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—61no—
642C2×C4—61no—
643C2×C4—61no—
644C2×C4—61no—
645C2×C4—61no—
646C2×C4—61no—
647C2×C4—61no—
648C2×C4—61no—
649C2×C4—62no—
650C2×C4—61no—
651C2×C4—84no—
652C2×C4—121no—
653C2×C4—121no—
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—121no—
667C2×C4#93812yes—
668C2×C4#93812yes—
669C2×C4C2×#23711yescharacteristic
670C2×C4C2×#23711yescharacteristic
671C2×C4#100411yescharacteristic
672C2×C4D3×#4111yescharacteristic
673C2×C4#100911yescharacteristic
674C2×C4C22×#6711yescharacteristic
675C8—22no—
676C8—22no—
677C8—121no—
678C8—121no—
679C2×C3—82no—
680C2×C3—161no—
681C2×C3#241411yescharacteristic
682C2×C3#306011yescharacteristic
683C2×C3#306211yescharacteristic
684C2×C3#311811yescharacteristic
685C2×C3#312511yescharacteristic
686C2×C3#322111yescharacteristic
687C2×C3#322411yescharacteristic
688D3—81no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—81no—
693C22—81no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22—81no—
698C22—81no—
699C22—81no—
700C22—81no—
701C22—81no—
702C22—81no—
703C22—121no—
704C22—121no—
705C22—121no—
706C22—121no—
707C22—121no—
708C22—121no—
709C22—121no—
710C22#560611yescharacteristic
711C22#560711yescharacteristic
712C22#577011yescharacteristic
713C22#577011yescharacteristic
714C22#577411yescharacteristic
715C22#577511yescharacteristic
716C22C2×#93811yescharacteristic
717C4—22no—
718C4—22no—
719C4—81no—
720C4—81no—
721C4—121no—
722C4—122no—
723C4—121no—
724C4—121no—
725C4—241no—
726C4—241no—
727C4—241no—
728C4#561611yescharacteristic
729C4#561811yescharacteristic
730C4#580611yescharacteristic
731C4#583411yescharacteristic
732C3#2466711yescharacteristic, complemented, Sylow
733C2—82no—
734C2—161no—
735C2—241no—
736C2#8050911yescharacteristic
737C2#8051111yescharacteristic
738C2#8054511yescharacteristic
739C2#8054611yescharacteristic
740C2#8270311yescharacteristic
741C2#8391611yescharacteristic
742C2#8395111yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×#463C2
socleC23×C3C22×D4
prime radical#72043C2
hypercenterC2×#463D3
hypocenterC3#24667
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#463

Complements

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

NH ≅ G/Ntype
1. C2×C3×#463C2semidirect
2. #83001C2semidirect
3. #82396C2semidirect
4. C2×#4840C2semidirect
5. #72054C2semidirect
6. #72049C2semidirect
8. #72039C2semidirect
9. #71721C2semidirect
10. #71604C2semidirect
11. #70454C2semidirect
12. #70256C2semidirect
13. #70243C2semidirect
14. #70186C2semidirect
15. #70176C2semidirect
62. C2×#463D3semidirect
133. C3×C4⋊C8D4semidirect
354. C4⋊C8#67semidirect
732. C3#24667semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#4632
#830012
#823962
C2×#48402
#720542
#720492
#720432
#720392
#717212
#716042
#704542
#702562
#702432
#701862
#701762
#246673