Finite Group Databasebeta

← #10815513

Subgroups — #10815513

Order 768.

1086 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#441C211yesmaximal, characteristic, complemented
2C2×#5186C211yesmaximal, characteristic
3#82490C211yesmaximal, characteristic
4Q8×(C2×D3)⋊C4C211yesmaximal, characteristic
5C2×D3×#103C211yesmaximal, characteristic
6#72065C211yesmaximal, characteristic, complemented
7#71632C211yesmaximal, characteristic, complemented
8#71629C211yesmaximal, characteristic, complemented
9#70579C211yesmaximal, characteristic
10#70570C211yesmaximal, characteristic, complemented
11#70270C211yesmaximal, characteristic
12#70259C211yesmaximal, characteristic, complemented
13#70220C211yesmaximal, characteristic, complemented
14#69831C211yesmaximal, characteristic
15#69817C211yesmaximal, characteristic, complemented
16#22859—31nomaximal, Sylow
17C22×D3×Q8C2211yescharacteristic
18C22×C3×Q16C2211yescharacteristic
19C2×C3×C4×Q8C2211yescharacteristic
20C2×C3×C4×Q8C2211yescharacteristic
21C2×#946C2211yescharacteristic
22C2×Q8×Dic3C2211yescharacteristic
23C22×#216C2211yescharacteristic
24C22×D3×C8C2211yescharacteristic
25C2×D3×C4⋊C4C2211yescharacteristic
26C3×#441—24no—
27C2×C3×#106C2211yescharacteristic
28C2×C3×#103C2211yescharacteristic
29C2×C3×#103C2211yescharacteristic
30C2×C3×#97C2211yescharacteristic
31#5229C2211yescharacteristic
32C2×#835C2211yescharacteristic
33C2×#835C2211yescharacteristic
34C2×#835C2211yescharacteristic
35#5186C418yescomplemented
36C2×(C2×D3)⋊C8C2211yescharacteristic
37C2×#816C2211yescharacteristic
38C2×#816C2211yescharacteristic
39C2×#815C2211yescharacteristic
40#4989—21no—
41#4987—21no—
42#4987C2211yescharacteristic
43#4976—21no—
44Dic3×C4⋊C4C2211yescharacteristic
45#4973—21no—
46#4973C2211yescharacteristic
47C2×#810C2211yescharacteristic
48C2×#808C2211yescharacteristic
49C4×(C2×D3)⋊C4—21no—
50C4×(C2×D3)⋊C4—21no—
51C4×(C2×D3)⋊C4C2211yescharacteristic
52#4933—21no—
53#4929—21no—
54#4929C2211yescharacteristic
55#4928C2211yescharacteristic
56D3×#103—24no—
57#4551C2211yescharacteristic
58#4551C2211yescharacteristic
59#4550C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62#4524C2211yescharacteristic
63C2×#451—31no—
64C2×#441D311yescharacteristic, complemented
65C22×#103—31no—
66#2360—31no—
67Q8×C22⋊C4—31no—
68#1971—31no—
69#1935—31no—
70#1927—31no—
71#1892—31no—
72#1878—31no—
73#1878—31no—
74#1865—31no—
75#1853—31no—
76#1763—31no—
77#1752—31no—
78C22×C3×Q8C2311yescharacteristic
79C22×C3×Q8C2311yescharacteristic
80C2×D3×Q8—22no—
81C2×D3×Q8—22no—
82C2×D3×Q8—22no—
83C2×D3×Q8—41no—
84C2×D3×Q8—41no—
85C2×D3×Q8C2×C414yes—
86C22×C4×D3—21no—
87C22×C4×D3—21no—
88C22×C4×D3C2311yescharacteristic
89C22×Dic6—21no—
90C22×Dic6C2311yescharacteristic
91C2×C3×Q16—22no—
92C2×C3×Q16—22no—
93C2×C3×Q16C2×C414yescomplemented
94C22×C3×C8C2311yescharacteristic
95C22×C3×C8C2311yescharacteristic
96C3×C4×Q8—22no—
97C3×C4×Q8—22no—
98C3×C4×Q8—41no—
99C3×C4×Q8—41no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4—21no—
102C2×C3×C4⋊C4C2311yescharacteristic
103C2×C3×C4⋊C4C2311yescharacteristic
104C2×C3×C42—21no—
105C2×C3×C42—21no—
106C2×C3×C42C2311yescharacteristic
107#946—22no—
108#946C2×C414yes—
109Q8×Dic3—22no—
110Q8×Dic3—41no—
111C2×#216—41no—
112C2×#216—41no—
113C2×#216C2×C414yescomplemented
114C2×(C2×D3)⋊C4—21no—
115C2×(C2×D3)⋊C4—21no—
116C2×(C2×D3)⋊C4D411yescharacteristic
117C2×(C2×D3)⋊C4D411yescharacteristic
118C2×C4⋊Dic3—21no—
119C2×C4⋊Dic3C2311yescharacteristic
120C2×C4⋊Dic3C2311yescharacteristic
121C2×C4⋊Dic3C2311yescharacteristic
122C2×Dic3⋊C4—21no—
123C2×Dic3⋊C4—21no—
124C2×Dic3⋊C4—21no—
125C2×C4×Dic3—21no—
126C2×C4×Dic3—21no—
127C2×C4×Dic3C2311yescharacteristic
128C22×C3⋊C8C2311yescharacteristic
129C22×C3⋊C8C2311yescharacteristic
130C2×D3×C8—22no—
131C2×D3×C8—22no—
132C2×D3×C8—41no—
133D3×C4⋊C4—22no—
134D3×C4⋊C4—41no—
135C3×#106—22no—
136C3×#103—22no—
137C3×#103D414yes—
138C3×#97—22no—
139#835—22no—
140#835—41no—
141#835C2×C414yescomplemented
142C3⋊#95—21no—
143C3⋊#95—21no—
144C3⋊#95—21no—
145C3⋊#95—21no—
146C3⋊#95—21no—
147C3⋊#95—21no—
148C3⋊#95—21no—
149C3⋊#95—21no—
150C3⋊#95—21no—
151C3⋊#95D411yescharacteristic
152C3⋊#95D411yescharacteristic
153(C2×D3)⋊C8C2×C414yes—
154#816—22no—
155#816C2×C414yescomplemented
156#815—41no—
157#810—22no—
158#808—41no—
159C23×Q8—31no—
160C22×Q16—31no—
161C22×Q16C2×D311yescharacteristic
162C23×C8—31no—
163C2×C22⋊Q8—31no—
164C2×C4×Q8—31no—
165C2×C4×Q8C2×D311yescharacteristic
166C2×C4×Q8C2×D311yescharacteristic
167C22×C4⋊C4—31no—
168#451—38no—
169#441—24no—
170C2×#106—31no—
171C2×#106C2×D311yescharacteristic
172C2×#103—31no—
173C2×#103—31no—
174C2×#103—31no—
175C2×#103—31no—
176C2×#103—31no—
177C2×#103—31no—
178C2×#103—64no—
179C2×#103C2×D311yescharacteristic
180C2×#103C2×D311yescharacteristic
181C2×C22⋊C8—31no—
182C2×#97—31no—
183C2×#97C2×D311yescharacteristic
184#391—31no—
185#391—31no—
186#391—31no—
187#391—61no—
188#391—61no—
189#389—31no—
190#389—61no—
191#387—61no—
192#385—61no—
193#380—31no—
194#380—61no—
195C4×C4⋊C4—31no—
196C4×C22⋊C4—31no—
197C4×C22⋊C4—61no—
198C4×C22⋊C4—61no—
199#340—31no—
200#340—31no—
201#340—31no—
202#340—31no—
203#336—31no—
204#336—31no—
205C23×D3C2×D411yescharacteristic
206C2×C3×Q8—21no—
207C2×C3×Q8—21no—
208C2×C3×Q8—21no—
209C2×C3×Q8—21no—
210C2×C3×Q8—21no—
211C2×C3×Q8—21no—
212C2×C3×Q8—21no—
213C2×C3×Q8—21no—
214C2×C3×Q8C22×C412yes—
215C2×C3×Q8C22×C412yes—
216C2×C3×Q8C2×D412yes—
217C2×C3×Q8#4112yes—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2411yescharacteristic
225C22×Dic3—21no—
226C22×Dic3—21no—
227C22×Dic3—21no—
228C22×Dic3—21no—
229C22×Dic3C2×D411yescharacteristic
230C22×Dic3C2×D411yescharacteristic
231C22×Dic3C2×D411yescharacteristic
232D3×Q8—28no—
233D3×Q8—44no—
234D3×Q8—44no—
235D3×Q8—44no—
236C2×C4×D3—21no—
237C2×C4×D3—21no—
238C2×C4×D3—21no—
239C2×C4×D3—21no—
240C2×C4×D3—24no—
241C2×C4×D3—42no—
242C2×C4×D3—42no—
243C2×C4×D3—42no—
244C2×C4×D3—42no—
245C2×C4×D3—81no—
246C2×C4×D3C22×C412yes—
247C2×C4×D3#4112yes—
248C2×Dic6—21no—
249C2×Dic6—21no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6—24no—
254C2×Dic6—42no—
255C2×Dic6—42no—
256C2×Dic6C22×C412yes—
257C3×Q16—28no—
258C2×C3×C8—21no—
259C2×C3×C8—21no—
260C2×C3×C8—21no—
261C2×C3×C8—21no—
262C2×C3×C8C22×C412yes—
263C2×C3×C8C2×D412yes—
264C3×C4⋊C4—21no—
265C3×C4⋊C4—21no—
266C3×C4⋊C4—21no—
267C3×C4⋊C4—42no—
268C3×C4⋊C4—42no—
269C3×C4⋊C4C2×D412yes—
270C3×C42—21no—
271C3×C42—21no—
272C3×C42—42no—
273C3×C42—42no—
274#216—44no—
275(C2×D3)⋊C4—24no—
276(C2×D3)⋊C4—22no—
277(C2×D3)⋊C4—22no—
278(C2×D3)⋊C4—42no—
279C4⋊Dic3—21no—
280C4⋊Dic3—21no—
281C4⋊Dic3—21no—
282C4⋊Dic3—21no—
283C4⋊Dic3—21no—
284C4⋊Dic3—42no—
285C4⋊Dic3C22×C412yes—
286Dic3⋊C4—24no—
287Dic3⋊C4—42no—
288Dic3⋊C4—81no—
289C4×Dic3—21no—
290C4×Dic3—21no—
291C4×Dic3—42no—
292C4×Dic3—81no—
293C2×C3⋊C8—21no—
294C2×C3⋊C8—21no—
295C2×C3⋊C8—21no—
296C2×C3⋊C8—21no—
297C2×C3⋊C8—21no—
298C2×C3⋊C8C22×C412yes—
299D3×C8—44no—
300C22×Q8—34no—
301C22×Q8—31no—
302C22×Q8—61no—
303C22×Q8—62no—
304C22×Q8—62no—
305C22×Q8—62no—
306C22×Q8—121no—
307C22×Q8—121no—
308C22×Q8C22×D311yescharacteristic
309C22×Q8C22×D311yescharacteristic
310C23×C4—31no—
311C23×C4—61no—
312C23×C4—61no—
313C2×Q16—22no—
314C2×Q16—22no—
315C2×Q16—34no—
316C2×Q16—121no—
317C2×Q16—121no—
318C2×Q16C4×D314yescomplemented
319C22×C8—31no—
320C22×C8—31no—
321C22×C8—62no—
322C22×C8—62no—
323C22×C8—121no—
324C22×C8C22×D311yescharacteristic
325C22×C8C22×D311yescharacteristic
326C22⋊Q8—34no—
327C22⋊Q8—62no—
328C4×Q8—22no—
329C4×Q8—22no—
330C4×Q8—41no—
331C4×Q8—41no—
332C4×Q8—62no—
333C4×Q8—121no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—31no—
337C2×C4⋊C4—31no—
338C2×C4⋊C4—31no—
339C2×C4⋊C4—61no—
340C2×C4⋊C4—62no—
341C2×C4⋊C4—61no—
342C2×C4⋊C4—61no—
343C2×C4⋊C4—61no—
344C2×C4⋊C4—121no—
345C2×C4⋊C4C22×D311yescharacteristic
346C2×C4⋊C4C22×D311yescharacteristic
347C2×C22⋊C4—31no—
348C2×C22⋊C4—31no—
349C2×C22⋊C4—61no—
350C2×C22⋊C4—61no—
351C2×C42—21no—
352C2×C42—21no—
353C2×C42—31no—
354C2×C42—61no—
355C2×C42—61no—
356C2×C42C22×D311yescharacteristic
357#106—22no—
358#106—121no—
359#103—22no—
360#103—34no—
361#103—34no—
362#103—62no—
363#103—62no—
364#103—62no—
365#103—121no—
366#103#6714yes—
367C22⋊C8—34no—
368#97—22no—
369#97—121no—
370#95—31no—
371#95—31no—
372#95—61no—
373#95—61no—
374#95—61no—
375#95—61no—
376#95—61no—
377#95—61no—
378#95—61no—
379#95—61no—
380#95—61no—
381C23×C3C22×D411yescharacteristic
382C22×D3—21no—
383C22×D3—21no—
384C22×D3—21no—
385C22×D3—21no—
386C22×D3C4×D412yes—
387C22×D3#13712yes—
388C22×D3#13712yes—
389C3×Q8—22no—
390C3×Q8—22no—
391C3×Q8—22no—
392C3×Q8—22no—
393C3×Q8—22no—
394C3×Q8—41no—
395C3×Q8—41no—
396C3×Q8C4×D414yes—
397C2×C3×C4—22no—
398C2×C3×C4—22no—
399C2×C3×C4—22no—
400C2×C3×C4—22no—
401C2×C3×C4—22no—
402C2×C3×C4—21no—
403C2×C3×C4—21no—
404C2×C3×C4—21no—
405C2×C3×C4—21no—
406C2×C3×C4—21no—
407C2×C3×C4—21no—
408C2×C3×C4—41no—
409C2×C3×C4—41no—
410C2×C3×C4—41no—
411C2×C3×C4—41no—
412C2×C3×C4—41no—
413C2×C3×C4—41no—
414C2×C3×C4—41no—
415C2×C3×C4C23×C411yescharacteristic
416C2×C3×C4C22×D411yescharacteristic
417C2×C3×C4C2×#4111yescharacteristic
418C2×C3×C4C2×#4111yescharacteristic
419C2×C3×C4H(5,𝔽2)11yescharacteristic
420C2×C3×C4H(5,𝔽2)11yescharacteristic
421C2×Dic3—21no—
422C2×Dic3—21no—
423C2×Dic3—22no—
424C2×Dic3—22no—
425C2×Dic3—21no—
426C2×Dic3—21no—
427C2×Dic3—21no—
428C2×Dic3—21no—
429C2×Dic3—21no—
430C2×Dic3—21no—
431C2×Dic3—41no—
432C2×Dic3—41no—
433C2×Dic3—41no—
434C2×Dic3—41no—
435C2×Dic3—41no—
436C2×Dic3—41no—
437C2×Dic3—41no—
438C2×Dic3—41no—
439C2×Dic3—41no—
440C2×Dic3—41no—
441C2×Dic3C4×D412yes—
442C4×D3—22no—
443C4×D3—22no—
444C4×D3—22no—
445C4×D3—22no—
446C4×D3—48no—
447C4×D3—84no—
448Dic6—22no—
449Dic6—22no—
450Dic6—48no—
451Dic6—41no—
452Dic6—41no—
453C3×C8—22no—
454C3×C8—22no—
455C3⋊C8—22no—
456C3⋊C8—41no—
457C24—31no—
458C2×Q8—21no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—32no—
467C2×Q8—64no—
468C2×Q8—61no—
469C2×Q8—68no—
470C2×Q8—61no—
471C2×Q8—61no—
472C2×Q8—61no—
473C2×Q8—61no—
474C2×Q8—122no—
475C2×Q8—122no—
476C2×Q8—124no—
477C2×Q8—124no—
478C2×Q8—124no—
479C2×Q8C2×C4×D312yes—
480C2×Q8C2×C4×D312yes—
481C2×Q8#23512yes—
482C2×Q8C2×#6712yes—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—31no—
488C22×C4—32no—
489C22×C4—32no—
490C22×C4—31no—
491C22×C4—31no—
492C22×C4—64no—
493C22×C4—61no—
494C22×C4—61no—
495C22×C4—61no—
496C22×C4—61no—
497C22×C4—61no—
498C22×C4—61no—
499C22×C4—61no—
500C22×C4—61no—
501C22×C4—122no—
502C22×C4—122no—
503C22×C4—122no—
504C22×C4—122no—
505C22×C4—241no—
506C22×C4D3×D411yescharacteristic
507C22×C4D3×D411yescharacteristic
508C22×C4C23×D311yescharacteristic
509Q16—28no—
510Q16—124no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—32no—
516C2×C8—61no—
517C2×C8—61no—
518C2×C8—61no—
519C2×C8—61no—
520C2×C8—61no—
521C2×C8—124no—
522C2×C8C2×C4×D312yes—
523C2×C8C2×#6712yes—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—32no—
528C4⋊C4—42no—
529C4⋊C4—42no—
530C4⋊C4—64no—
531C4⋊C4—61no—
532C4⋊C4—61no—
533C4⋊C4—61no—
534C4⋊C4—61no—
535C4⋊C4—61no—
536C4⋊C4—122no—
537C4⋊C4—122no—
538C4⋊C4—241no—
539C4⋊C4C2×#6712yes—
540C22⋊C4—62no—
541C22⋊C4—62no—
542C22⋊C4—64no—
543C22⋊C4—122no—
544C42—21no—
545C42—21no—
546C42—42no—
547C42—42no—
548C42—61no—
549C42—61no—
550C42—122no—
551C42—241no—
552C22×C3C2×C4×D411yescharacteristic
553C22×C3D4211yescharacteristic
554C22×C3#54611yescharacteristic
555C22×C3C2×#13711yescharacteristic
556C22×C3C2×#13711yescharacteristic
557C22×C3#57711yescharacteristic
558C22×C3#57811yescharacteristic
559C2×D3—22no—
560C2×D3—22no—
561C2×D3—22no—
562C2×D3—22no—
563C2×D3—22no—
564C2×D3—22no—
565C2×D3#44114yescomplemented
566C3×C4—24no—
567C3×C4—42no—
568C3×C4—42no—
569C3×C4—41no—
570C3×C4—41no—
571C3×C4—81no—
572C3×C4C2×C4×D411yescharacteristic
573C3×C4#51811yescharacteristic
574C3×C4#54611yescharacteristic
575C3×C4#55111yescharacteristic
576Dic3—22no—
577Dic3—42no—
578Dic3—42no—
579Dic3—41no—
580Dic3—41no—
581Dic3—81no—
582Dic3—81no—
583C23—32no—
584C23—32no—
585C23—32no—
586C23—61no—
587C23—61no—
588C23—61no—
589C23—61no—
590C23C2×D3×D411yescharacteristic
591Q8—22no—
592Q8—22no—
593Q8—22no—
594Q8—22no—
595Q8—22no—
596Q8—41no—
597Q8—41no—
598Q8—62no—
599Q8—62no—
600Q8—128no—
601Q8—121no—
602Q8—121no—
603Q8C4×#6714yes—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—22no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—32no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—61no—
624C2×C4—61no—
625C2×C4—62no—
626C2×C4—62no—
627C2×C4—62no—
628C2×C4—62no—
629C2×C4—61no—
630C2×C4—61no—
631C2×C4—61no—
632C2×C4—61no—
633C2×C4—62no—
634C2×C4—62no—
635C2×C4—61no—
636C2×C4—61no—
637C2×C4—128no—
638C2×C4—121no—
639C2×C4—121no—
640C2×C4—121no—
641C2×C4—121no—
642C2×C4—121no—
643C2×C4—121no—
644C2×C4—121no—
645C2×C4—121no—
646C2×C4—121no—
647C2×C4—121no—
648C2×C4—244no—
649C2×C4C22×C4×D311yescharacteristic
650C2×C4C2×#23511yescharacteristic
651C2×C4#100411yescharacteristic
652C2×C4D3×#4111yescharacteristic
653C2×C4#100911yescharacteristic
654C2×C4C22×#6711yescharacteristic
655C8—22no—
656C8—22no—
657C8—62no—
658C8—121no—
659C2×C3#235811yescharacteristic
660C2×C3C2×#44111yescharacteristic
661C2×C3#294711yescharacteristic
662C2×C3#326611yescharacteristic
663C2×C3#327011yescharacteristic
664C2×C3#331211yescharacteristic
665C2×C3#331611yescharacteristic
666D3—24no—
667C22—34no—
668C22—62no—
669C22—62no—
670C22—62no—
671C22—62no—
672C22—62no—
673C22—62no—
674C22C4×D3×D411yescharacteristic
675C22#555011yescharacteristic
676C22D3×#13711yescharacteristic
677C22D3×#13711yescharacteristic
678C22#577811yescharacteristic
679C22#577911yescharacteristic
680C22D4×#6711yescharacteristic
681C4—24no—
682C4—41no—
683C4—42no—
684C4—41no—
685C4—42no—
686C4—62no—
687C4—81no—
688C4—122no—
689C4—122no—
690C4—121no—
691C4—121no—
692C4—241no—
693C4—241no—
694C4#554511yescharacteristic
695C4#555611yescharacteristic
696C4C2×C4×#6711yescharacteristic
697C4#582911yescharacteristic
698C3#2285911yescharacteristic, complemented, Sylow
699C2—64no—
700C2D3×#44111yescharacteristic
701C2#7983011yescharacteristic
702C2#7984111yescharacteristic
703C2#7984311yescharacteristic
704C2#8239811yescharacteristic
705C2#8398711yescharacteristic
706C2#8398911yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC2×C3×#441C2
socleC23×C3C22×D4
prime radicalC23×D3C2×D4
cosocleC22×C3×C4C24
hypercenterC2×#441D3
hypocenterC3#22859
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#441

Complements

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

NH ≅ G/Ntype
1. C2×C3×#441C2semidirect
6. #72065C2semidirect
7. #71632C2semidirect
8. #71629C2semidirect
10. #70570C2semidirect
12. #70259C2semidirect
13. #70220C2semidirect
15. #69817C2semidirect
35. #5186C4semidirect
64. C2×#441D3semidirect
93. C2×C3×Q16C2×C4semidirect
113. C2×#216C2×C4semidirect
141. #835C2×C4semidirect
155. #816C2×C4semidirect
318. C2×Q16C4×D3semidirect
565. C2×D3#441semidirect
698. C3#22859semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#4412
C2×#51862
#824902
Q8×(C2×D3)⋊C42
C2×D3×#1032
#720652
#716322
#716292
#705792
#705702
#702702
#702592
#702202
#698312
#698172
#228593