Finite Group Databasebeta

← #10800985

Subgroups — #10800985

Order 768.

1344 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5516C211yesmaximal, characteristic
2#82235C211yesmaximal, characteristic
3C2×#4739C211yesmaximal, characteristic
4C2×#4716C211yesmaximal, characteristic, complemented
5C2×C4×Dic12C211yesmaximal, characteristic, complemented
6C3×#1750C211yesmaximal, characteristic
7#69963C211yesmaximal, characteristic
8#69931C211yesmaximal, characteristic
9#69929C211yesmaximal, characteristic
10#69813C211yesmaximal, characteristic, complemented
11C4×#816C211yesmaximal, characteristic, complemented
12#68685C211yesmaximal, characteristic, complemented
13#68685C211yesmaximal, characteristic, complemented
14#68684C211yesmaximal, characteristic, complemented
15#68683C211yesmaximal, characteristic, complemented
16#21463—31nomaximal, Sylow
17C23×Dic6C2211yescharacteristic
18C2×C3×#117C2211yescharacteristic
19C2×#926C2211yescharacteristic
20C2×#924C2211yescharacteristic
21C22×Dic12C2211yescharacteristic
22C22×Dic12C2211yescharacteristic
23#5516—24no—
24#5516—24no—
25C2×#887—21no—
26C2×#887—21no—
27C2×#877—21no—
28C2×#877—21no—
29C2×C4×Dic6C2211yescharacteristic
30C2×C4×Dic6C2211yescharacteristic
31C2×C4×Dic6C2211yescharacteristic
32C2×C4×Dic6C2211yescharacteristic
33C2×C4×Dic6C2211yescharacteristic
34C2×C3×C22⋊C8C2211yescharacteristic
35C2×C3×C22⋊C8C2211yescharacteristic
36C2×C3×#97C2211yescharacteristic
37C2×C3×C4×C8C2211yescharacteristic
38#5212C2211yescharacteristic
39C2×#818C2211yescharacteristic
40C2×#817C2211yescharacteristic
41C2×#816C2211yescharacteristic
42C2×#816C2211yescharacteristic
43C2×#816C2211yescharacteristic
44C2×#816C2211yescharacteristic
45C2×#816C2211yescharacteristic
46C2×#816C2211yescharacteristic
47C2×#816C2211yescharacteristic
48C2×#816C2211yescharacteristic
49#4978—21no—
50#4976—21no—
51#4945—21no—
52#4944—21no—
53C4×C4⋊Dic3C2211yescharacteristic
54#4929C2211yescharacteristic
55#4928C2211yescharacteristic
56#4739C418yescomplemented
57#4716—24no—
58C4×Dic12—24no—
59C3×#336C2211yescharacteristic
60C3×#336C2211yescharacteristic
61#4551C2211yescharacteristic
62#4551C2211yescharacteristic
63#4551C2211yescharacteristic
64#4551C2211yescharacteristic
65C2×#519—31no—
66C2×#451—31no—
67C2×#441—31no—
68C2×C4×Q16—31no—
69#2323—31no—
70#1878—31no—
71#1878—31no—
72#1873—31no—
73#1865—31no—
74#1863—31no—
75#1854—31no—
76#1787—31no—
77#1763—31no—
78C4×#103—31no—
79#1750D311yescharacteristic
80C23×C3×C4C2311yescharacteristic
81C23×Dic3—21no—
82C22×Dic6—21no—
83C22×Dic6—22no—
84C22×Dic6—22no—
85C22×Dic6—22no—
86C22×Dic6—22no—
87C22×Dic6—22no—
88C22×Dic6C2×C414yes—
89C22×Dic6C2311yescharacteristic
90C22×Dic6C2311yescharacteristic
91C22×Dic6C2311yescharacteristic
92C22×C3×C8C2311yescharacteristic
93C22×C3×C8C2311yescharacteristic
94C22×C3×C8C2311yescharacteristic
95C22×C3×C8C2311yescharacteristic
96C3×#117—22no—
97C3×#117—22no—
98C2×C3×C4⋊C4D411yescharacteristic
99C2×C3×C4⋊C4D411yescharacteristic
100C2×C3×C22⋊C4D411yescharacteristic
101C2×C3×C22⋊C4D411yescharacteristic
102C2×C3×C42C2311yescharacteristic
103C2×C3×C42C2311yescharacteristic
104C2×#217—21no—
105C2×#217—21no—
106C2×#217—21no—
107#926—22no—
108#926—22no—
109C2×C4⋊Dic3C2311yescharacteristic
110C2×C4⋊Dic3C2311yescharacteristic
111C2×C4⋊Dic3C2311yescharacteristic
112C2×C4⋊Dic3C2311yescharacteristic
113C2×C4⋊Dic3C2311yescharacteristic
114#924—22no—
115#924C2×C414yes—
116C2×Dic3⋊C4—21no—
117C2×Dic3⋊C4—21no—
118C2×Dic3⋊C4—21no—
119C2×Dic3⋊C4—21no—
120C2×Dic3⋊C4—21no—
121C2×Dic3⋊C4—21no—
122C2×Dic3⋊C4—21no—
123C2×C4×Dic3—21no—
124C2×C4×Dic3—21no—
125C2×C4×Dic3—21no—
126C2×C4×Dic3—21no—
127C2×C4×Dic3—21no—
128C2×C4×Dic3—21no—
129C2×C4×Dic3—21no—
130C2×Dic12—22no—
131C2×Dic12—22no—
132C2×Dic12—22no—
133C2×Dic12—22no—
134C2×Dic12C2×C414yes—
135C2×Dic12C2×C414yes—
136#887—28no—
137#887—28no—
138#877—28no—
139#877—28no—
140C4×Dic6—22no—
141C4×Dic6—22no—
142C4×Dic6—22no—
143C4×Dic6—22no—
144C4×Dic6—22no—
145C4×Dic6—22no—
146C4×Dic6—22no—
147C4×Dic6—22no—
148C4×Dic6D414yes—
149C4×Dic6D414yes—
150C3×C22⋊C8—22no—
151C3×C22⋊C8C2×C414yes—
152C3×#97—22no—
153C3×C4×C8—22no—
154C3⋊#95—21no—
155C3⋊#95—21no—
156C3⋊#95—21no—
157C3⋊#95—21no—
158C3⋊#95—21no—
159#818—22no—
160#817—22no—
161#816—22no—
162#816—22no—
163#816—22no—
164#816—22no—
165#816—22no—
166#816—22no—
167#816C2×C414yes—
168#816C2×C414yes—
169C23×Q8—31no—
170C22×Q16—31no—
171C22×Q16—31no—
172C2×C22⋊Q8—31no—
173#519—64no—
174#519—64no—
175C2×C4×Q8—31no—
176C2×C4×Q8—31no—
177C2×C4×Q8—31no—
178C2×C4×Q8—31no—
179C2×C4×Q8—31no—
180C2×C4×Q8—61no—
181C2×C4×Q8—61no—
182C2×#117—31no—
183C2×#117—61no—
184C2×#117—61no—
185C2×#117C2×D311yescharacteristic
186#451—38no—
187#441—64no—
188C4×Q16—64no—
189C2×#107—31no—
190C2×#106—31no—
191C2×#103—31no—
192C2×#103—31no—
193C2×#103—31no—
194C2×#103—31no—
195C2×#103—31no—
196C2×#103—31no—
197C2×#103—31no—
198C2×#103—31no—
199C2×C22⋊C8C2×D311yescharacteristic
200C2×C22⋊C8C2×D311yescharacteristic
201C2×#97C2×D311yescharacteristic
202C2×C4×C8C2×D311yescharacteristic
203#391—31no—
204#389—31no—
205#389—61no—
206#388—61no—
207#388—61no—
208#387—61no—
209#380—31no—
210C4×C4⋊C4—31no—
211#340—31no—
212#340—31no—
213#340—31no—
214#340—31no—
215#336C2×D311yescharacteristic
216#336C2×D311yescharacteristic
217C24×C3C2×D411yescharacteristic
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4C22×C412yes—
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2×D411yescharacteristic
227C22×C3×C4C2×D411yescharacteristic
228C22×C3×C4#4112yes—
229C22×C3×C4C2411yescharacteristic
230C22×Dic3—24no—
231C22×Dic3—24no—
232C22×Dic3—24no—
233C22×Dic3—21no—
234C22×Dic3—21no—
235C22×Dic3—21no—
236C22×Dic3—21no—
237C22×Dic3—21no—
238C22×Dic3—21no—
239C22×Dic3—21no—
240C22×Dic3—21no—
241C2×Dic6—24no—
242C2×Dic6—24no—
243C2×Dic6—28no—
244C2×Dic6—28no—
245C2×Dic6—24no—
246C2×Dic6—21no—
247C2×Dic6—21no—
248C2×Dic6—21no—
249C2×Dic6—21no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—28no—
253C2×Dic6—28no—
254C2×Dic6—21no—
255C2×Dic6—21no—
256C2×Dic6—21no—
257C2×Dic6—21no—
258C2×Dic6—21no—
259C2×Dic6C22×C412yes—
260C2×Dic6C22×C412yes—
261C2×Dic6C22×C412yes—
262C2×Dic6C2×D412yes—
263C2×Dic6C2×D412yes—
264C2×Dic6#4112yes—
265C2×Dic6#4112yes—
266C2×C3×C8—21no—
267C2×C3×C8—21no—
268C2×C3×C8—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—
275C2×C3×C8—21no—
276C2×C3×C8C22×C412yes—
277C2×C3×C8C22×C412yes—
278C3×C4⋊C4—22no—
279C3×C4⋊C4—22no—
280C3×C22⋊C4—22no—
281C3×C22⋊C4—22no—
282C3×C42—21no—
283C3×C42—21no—
284C3×C42C2×D412yes—
285C3×C42C2×D412yes—
286#217—24no—
287#217—24no—
288#217—81no—
289C4⋊Dic3—21no—
290C4⋊Dic3—21no—
291C4⋊Dic3—21no—
292C4⋊Dic3—21no—
293C4⋊Dic3—21no—
294C4⋊Dic3—21no—
295C4⋊Dic3—21no—
296C4⋊Dic3C22×C412yes—
297C4⋊Dic3C2×D412yes—
298C4⋊Dic3C2×D412yes—
299Dic3⋊C4—24no—
300Dic3⋊C4—24no—
301Dic3⋊C4—24no—
302Dic3⋊C4—24no—
303Dic3⋊C4—24no—
304Dic3⋊C4—42no—
305Dic3⋊C4—81no—
306C4×Dic3—24no—
307C4×Dic3—24no—
308C4×Dic3—24no—
309C4×Dic3—24no—
310C4×Dic3—24no—
311C4×Dic3—42no—
312C4×Dic3—81no—
313Dic12—28no—
314Dic12—28no—
315C22×Q8—34no—
316C22×Q8—31no—
317C22×Q8—31no—
318C22×Q8—31no—
319C22×Q8—62no—
320C22×Q8—62no—
321C22×Q8—62no—
322C22×Q8—62no—
323C22×Q8—61no—
324C22×Q8—62no—
325C23×C4—61no—
326C23×C4C22×D311yescharacteristic
327C2×Q16—34no—
328C2×Q16—34no—
329C2×Q16—62no—
330C2×Q16—62no—
331C2×Q16—62no—
332C2×Q16—62no—
333C22×C8C22×D311yescharacteristic
334C22×C8C22×D311yescharacteristic
335C22×C8C22×D311yescharacteristic
336C22×C8C22×D311yescharacteristic
337C22⋊Q8—34no—
338C22⋊Q8—62no—
339C4×Q8—34no—
340C4×Q8—34no—
341C4×Q8—62no—
342C4×Q8—62no—
343C4×Q8—62no—
344C4×Q8—62no—
345C4×Q8—68no—
346C4×Q8—68no—
347C4×Q8—62no—
348C4×Q8—62no—
349C4×Q8—62no—
350C4×Q8—62no—
351#117—22no—
352#117—22no—
353#117—68no—
354#117—68no—
355#117—62no—
356#117—62no—
357C2×C4⋊C4—31no—
358C2×C4⋊C4—31no—
359C2×C4⋊C4—31no—
360C2×C4⋊C4—31no—
361C2×C4⋊C4—31no—
362C2×C4⋊C4—61no—
363C2×C4⋊C4—61no—
364C2×C4⋊C4—61no—
365C2×C4⋊C4—61no—
366C2×C4⋊C4—61no—
367C2×C4⋊C4—61no—
368C2×C4⋊C4—61no—
369C2×C4⋊C4D1211yescharacteristic
370C2×C4⋊C4D1211yescharacteristic
371C2×C22⋊C4—61no—
372C2×C22⋊C4—61no—
373C2×C22⋊C4—61no—
374C2×C22⋊C4D1211yescharacteristic
375C2×C22⋊C4D1211yescharacteristic
376C2×C42—61no—
377C2×C42—61no—
378C2×C42—61no—
379C2×C42—61no—
380C2×C42—61no—
381C2×C42—61no—
382C2×C42—61no—
383C2×C42C22×D311yescharacteristic
384C2×C42C22×D311yescharacteristic
385#107—62no—
386#106—62no—
387#103—34no—
388#103—34no—
389#103—62no—
390#103—62no—
391#103—62no—
392#103—62no—
393#103—62no—
394#103—62no—
395C22⋊C8—22no—
396C22⋊C8C4×D314yes—
397#97—22no—
398C4×C8—22no—
399#95—61no—
400#95—61no—
401#95—61no—
402#95—61no—
403#95—61no—
404C23×C3—21no—
405C23×C3—21no—
406C23×C3—21no—
407C23×C3—21no—
408C23×C3—21no—
409C23×C3—21no—
410C23×C3C4×D412yes—
411C23×C3C22×D411yescharacteristic
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—22no—
419C2×C3×C4—22no—
420C2×C3×C4—22no—
421C2×C3×C4—22no—
422C2×C3×C4—21no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4—21no—
426C2×C3×C4—21no—
427C2×C3×C4—21no—
428C2×C3×C4C4×D412yes—
429C2×C3×C4#12012yes—
430C2×C3×C4#12012yes—
431C2×C3×C4C23×C411yescharacteristic
432C2×C3×C4C22×D411yescharacteristic
433C2×C3×C4C22×D411yescharacteristic
434C2×C3×C4C2×#4111yescharacteristic
435C2×C3×C4C2×#4111yescharacteristic
436C2×C3×C4C2×#4111yescharacteristic
437C2×Dic3—216no—
438C2×Dic3—22no—
439C2×Dic3—22no—
440C2×Dic3—22no—
441C2×Dic3—22no—
442C2×Dic3—22no—
443C2×Dic3—22no—
444C2×Dic3—22no—
445C2×Dic3—22no—
446C2×Dic3—22no—
447C2×Dic3—22no—
448C2×Dic3—41no—
449C2×Dic3—41no—
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—41no—
459C2×Dic3—41no—
460C2×Dic3—41no—
461C2×Dic3—41no—
462Dic6—216no—
463Dic6—22no—
464Dic6—22no—
465Dic6—22no—
466Dic6—22no—
467Dic6—22no—
468Dic6—22no—
469Dic6—22no—
470Dic6—22no—
471Dic6—41no—
472Dic6—41no—
473Dic6C4×D414yes—
474Dic6C4×D414yes—
475C3×C8—22no—
476C3×C8—22no—
477C3×C8—41no—
478C3×C8—41no—
479C24C2×D1211yescharacteristic
480C2×Q8—32no—
481C2×Q8—32no—
482C2×Q8—32no—
483C2×Q8—32no—
484C2×Q8—32no—
485C2×Q8—32no—
486C2×Q8—32no—
487C2×Q8—68no—
488C2×Q8—68no—
489C2×Q8—64no—
490C2×Q8—64no—
491C2×Q8—68no—
492C2×Q8—68no—
493C2×Q8—64no—
494C2×Q8—61no—
495C2×Q8—61no—
496C2×Q8—61no—
497C2×Q8—61no—
498C2×Q8—61no—
499C2×Q8—61no—
500C2×Q8—61no—
501C2×Q8—61no—
502C2×Q8—61no—
503C2×Q8—61no—
504C2×Q8—61no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—64no—
510C22×C4—64no—
511C22×C4—64no—
512C22×C4—61no—
513C22×C4—61no—
514C22×C4—61no—
515C22×C4—61no—
516C22×C4—61no—
517C22×C4—61no—
518C22×C4—61no—
519C22×C4—61no—
520C22×C4C2×C4×D312yes—
521C22×C4C2×D1211yescharacteristic
522C22×C4C2×D1211yescharacteristic
523C22×C4C2×D1211yescharacteristic
524C22×C4C2×D1211yescharacteristic
525C22×C4C2×D1211yescharacteristic
526C22×C4#23512yes—
527C22×C4C23×D311yescharacteristic
528Q16—68no—
529Q16—68no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8C2×C4×D312yes—
541C2×C8C2×C4×D312yes—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—32no—
545C4⋊C4—32no—
546C4⋊C4—32no—
547C4⋊C4—64no—
548C4⋊C4—64no—
549C4⋊C4—64no—
550C4⋊C4—64no—
551C4⋊C4—64no—
552C4⋊C4—61no—
553C4⋊C4—61no—
554C4⋊C4—61no—
555C4⋊C4—61no—
556C4⋊C4—61no—
557C4⋊C4—61no—
558C4⋊C4—61no—
559C4⋊C4—122no—
560C4⋊C4—241no—
561C22⋊C4—22no—
562C22⋊C4—22no—
563C22⋊C4—64no—
564C22⋊C4—64no—
565C22⋊C4—241no—
566C42—21no—
567C42—21no—
568C42—64no—
569C42—64no—
570C42—64no—
571C42—64no—
572C42—64no—
573C42—122no—
574C42—241no—
575C42D3×D412yes—
576C42D3×D412yes—
577C22×C3—22no—
578C22×C3—22no—
579C22×C3—22no—
580C22×C3—41no—
581C22×C3—41no—
582C22×C3—41no—
583C22×C3—41no—
584C22×C3C2×C4×D411yescharacteristic
585C22×C3C2×#12011yescharacteristic
586C22×C3#52511yescharacteristic
587C22×C3#57711yescharacteristic
588C22×C3#57811yescharacteristic
589C22×C3#57811yescharacteristic
590C22×C3#57811yescharacteristic
591C3×C4—22no—
592C3×C4—22no—
593C3×C4—22no—
594C3×C4—41no—
595C3×C4—41no—
596C3×C4C2×C4×D411yescharacteristic
597C3×C4C2×C4×D411yescharacteristic
598C3×C4#52511yescharacteristic
599C3×C4#52511yescharacteristic
600Dic3—24no—
601Dic3—24no—
602Dic3—42no—
603Dic3—42no—
604Dic3—42no—
605Dic3—42no—
606Dic3—81no—
607Dic3—81no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23C4×D1212yes—
615C23C22×D1211yescharacteristic
616Q8—34no—
617Q8—34no—
618Q8—616no—
619Q8—62no—
620Q8—62no—
621Q8—62no—
622Q8—62no—
623Q8—62no—
624Q8—62no—
625Q8—62no—
626Q8—62no—
627Q8—121no—
628Q8—121no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—616no—
646C2×C4—62no—
647C2×C4—62no—
648C2×C4—62no—
649C2×C4—62no—
650C2×C4—62no—
651C2×C4—62no—
652C2×C4—62no—
653C2×C4—62no—
654C2×C4—62no—
655C2×C4—62no—
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—121no—
668C2×C4—121no—
669C2×C4—121no—
670C2×C4C4×D1212yes—
671C2×C4#88212yes—
672C2×C4#88212yes—
673C2×C4C22×C4×D311yescharacteristic
674C2×C4C2×#23511yescharacteristic
675C2×C4C2×D3×D411yescharacteristic
676C2×C4C2×D3×D411yescharacteristic
677C2×C4D3×#4111yescharacteristic
678C2×C4D3×#4111yescharacteristic
679C8—22no—
680C8—22no—
681C8—41no—
682C8—41no—
683C2×C3—42no—
684C2×C3C4×#12011yescharacteristic
685C2×C3#294711yescharacteristic
686C2×C3#295011yescharacteristic
687C2×C3#301111yescharacteristic
688C2×C3#301311yescharacteristic
689C2×C3#312111yescharacteristic
690C2×C3#312711yescharacteristic
691C22—22no—
692C22—22no—
693C22—22no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22C2×C4×D1211yescharacteristic
699C22C2×#88211yescharacteristic
700C22#552411yescharacteristic
701C22#575111yescharacteristic
702C22#575311yescharacteristic
703C22#575311yescharacteristic
704C22#575311yescharacteristic
705C4—22no—
706C4—22no—
707C4—22no—
708C4—41no—
709C4—41no—
710C4—64no—
711C4—64no—
712C4—122no—
713C4—122no—
714C4—122no—
715C4—122no—
716C4—241no—
717C4—241no—
718C4C4×D3×D411yescharacteristic
719C4C4×D3×D411yescharacteristic
720C4#554711yescharacteristic
721C4#554711yescharacteristic
722C3#2146311yescharacteristic, complemented, Sylow
723C2—42no—
724C2C4×#88211yescharacteristic
725C2#7857111yescharacteristic
726C2#7857311yescharacteristic
727C2#7867911yescharacteristic
728C2#7868011yescharacteristic
729C2#7939411yescharacteristic
730C2#7939611yescharacteristic
subgroupG/H
centerC23C22×D12
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#1750C2
socleC23×C3C22×D4
prime radicalC24×C3C2×D4
cosocleC22×C3×C4C24
hypercenter#1750D3
hypocenterC3#21463
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#117 ◁ #1750

Complements

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

NH ≅ G/Ntype
4. C2×#4716C2semidirect
5. C2×C4×Dic12C2semidirect
10. #69813C2semidirect
11. C4×#816C2semidirect
12. #68685C2semidirect
13. #68685C2semidirect
14. #68684C2semidirect
15. #68683C2semidirect
56. #4739C4semidirect
722. C3#21463semidirect

Maximal subgroups

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

subgroupindex
C2×#55162
#822352
C2×#47392
C2×#47162
C2×C4×Dic122
C3×#17502
#699632
#699312
#699292
#698132
C4×#8162
#686852
#686842
#686832
#214633