Finite Group Databasebeta

← #10829219

Subgroups — #10829219

Order 768.

1088 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5694C211yesmaximal, characteristic
2C2×#5063C211yesmaximal, characteristic, complemented
3C2×C4×Dic12C211yesmaximal, characteristic, complemented
4#74240C211yesmaximal, characteristic
5C3×#1991C211yesmaximal, characteristic, complemented
6#69787C211yesmaximal, characteristic
7#69559C211yesmaximal, characteristic, complemented
8#68888C211yesmaximal, characteristic, complemented
9#68888C211yesmaximal, characteristic, complemented
10#68879C211yesmaximal, characteristic, complemented
11#68878C211yesmaximal, characteristic, complemented
12#68877C211yesmaximal, characteristic, complemented
13#68874C211yesmaximal, characteristic, complemented
14#68825C211yesmaximal, characteristic, complemented
15#68824C211yesmaximal, characteristic, complemented
16#24127—31nomaximal, Sylow
17C2×C3×#125C2211yescharacteristic
18C22×Dic12C2211yescharacteristic
19#5694—24no—
20#5694—24no—
21C2×#898—21no—
22C2×#897C2211yescharacteristic
23C2×#897C2211yescharacteristic
24C2×#897C2211yescharacteristic
25C2×#897C2211yescharacteristic
26C2×#894—21no—
27C2×#892—21no—
28C2×#892C2211yescharacteristic
29C2×D3×C4⋊C4C2211yescharacteristic
30C2×#890—21no—
31C2×C4×D12C2211yescharacteristic
32C2×C4×Dic6C2211yescharacteristic
33C2×C4×Dic6C2211yescharacteristic
34C2×C3×C4×C8C2211yescharacteristic
35C3×#382C2211yescharacteristic
36C2×(C2×D3)⋊C8C2211yescharacteristic
37C2×(C2×D3)⋊C8C2211yescharacteristic
38C2×(C2×D3)⋊C8C2211yescharacteristic
39C2×(C2×D3)⋊C8C2211yescharacteristic
40C2×#818C2211yescharacteristic
41C2×#816C2211yescharacteristic
42C2×#816C2211yescharacteristic
43#5063—24no—
44#4987C2211yescharacteristic
45#4987C2211yescharacteristic
46C2×#810C2211yescharacteristic
47C2×#810C2211yescharacteristic
48C2×#810C2211yescharacteristic
49C2×#810C2211yescharacteristic
50C2×#808C2211yescharacteristic
51C2×#807C2211yescharacteristic
52C2×C4⋊(C3⋊C8)C2211yescharacteristic
53C4×Dic12—24no—
54#4672—21no—
55#4670—21no—
56#4670—21no—
57#4661—21no—
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60C3×#340C2211yescharacteristic
61C3×#340C2211yescharacteristic
62#4529C2211yescharacteristic
63#4529C2211yescharacteristic
64C2×#552—31no—
65C2×#479—31no—
66C2×C4×Q16—31no—
67#2536—31no—
68#2036—31no—
69#2035—31no—
70#2001—31no—
71#2001—31no—
72#1991D311yescharacteristic, complemented
73#1954—31no—
74#1873—31no—
75#1872—31no—
76#1854—31no—
77#1852—31no—
78#1805—31no—
79C22×D12D411yescharacteristic
80C22×C4×D3—21no—
81C22×C4×D3C2311yescharacteristic
82C22×C4×D3C2311yescharacteristic
83C22×Dic6C2311yescharacteristic
84C22×Dic6C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C3×#125—22no—
88C3×#125D414yes—
89C2×C3×C4⋊C4—21no—
90C2×C3×C4⋊C4—21no—
91C2×C3×C4⋊C4C2311yescharacteristic
92C2×C3×C4⋊C4C2311yescharacteristic
93C2×C3×C4⋊C4C2311yescharacteristic
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C42C2311yescharacteristic
96C2×(C2×D3)⋊C4—21no—
97C2×(C2×D3)⋊C4—21no—
98C2×(C2×D3)⋊C4—21no—
99C2×(C2×D3)⋊C4—21no—
100C2×(C2×D3)⋊C4—21no—
101C2×(C2×D3)⋊C4—21no—
102C2×(C2×D3)⋊C4—21no—
103C2×(C2×D3)⋊C4D411yescharacteristic
104C2×(C2×D3)⋊C4D411yescharacteristic
105C2×C4⋊Dic3—21no—
106C2×C4⋊Dic3—21no—
107C2×C4⋊Dic3—21no—
108C2×C4⋊Dic3—21no—
109C2×C4⋊Dic3D411yescharacteristic
110C2×C4⋊Dic3C2311yescharacteristic
111C2×C4⋊Dic3C2311yescharacteristic
112C2×Dic3⋊C4—21no—
113C2×Dic3⋊C4—21no—
114C2×Dic3⋊C4—21no—
115C2×C4×Dic3—21no—
116C2×C4×Dic3—21no—
117C2×C4×Dic3—21no—
118C22×C3⋊C8C2311yescharacteristic
119C22×C3⋊C8C2311yescharacteristic
120C2×Dic12—22no—
121C2×Dic12—22no—
122C2×Dic12—22no—
123#898—28no—
124#897—22no—
125#897—22no—
126#897—22no—
127#897—22no—
128#897—22no—
129#897—22no—
130#897—41no—
131#897—41no—
132#894—28no—
133#892—28no—
134#892—22no—
135#892—22no—
136D3×C4⋊C4—22no—
137D3×C4⋊C4—22no—
138#890—28no—
139C4×D12—22no—
140C4×D12—22no—
141C4×Dic6—22no—
142C4×Dic6—22no—
143C4×Dic6—22no—
144C4×Dic6D414yes—
145C3×C4×C8—22no—
146C3×#95—21no—
147C3×#95—21no—
148C3⋊#95—21no—
149C3⋊#95—21no—
150(C2×D3)⋊C8—22no—
151(C2×D3)⋊C8—22no—
152(C2×D3)⋊C8—41no—
153(C2×D3)⋊C8—41no—
154#818—22no—
155#816—22no—
156#816—22no—
157#810—22no—
158#810—22no—
159#810—41no—
160#810—41no—
161#808—22no—
162#807—22no—
163C4⋊(C3⋊C8)—22no—
164C22×Q16—31no—
165#552—64no—
166#552—64no—
167C2×#126—61no—
168C2×#125—61no—
169C2×#125C2×D311yescharacteristic
170C2×#123—61no—
171C2×C22⋊Q8—31no—
172C2×C22⋊Q8—31no—
173C2×C22⋊Q8—31no—
174C2×C22⋊Q8—31no—
175C2×C4×Q8—31no—
176C2×C4×Q8—31no—
177C2×C4×D4—31no—
178C2×#117—31no—
179C2×#117—61no—
180C22×C4⋊C4—31no—
181#479—64no—
182C4×Q16—64no—
183C2×#107—31no—
184C2×#107—31no—
185C2×#106—31no—
186C2×C4⋊C8—31no—
187C2×#103—31no—
188C2×#103—31no—
189C2×#103—31no—
190C2×#103—31no—
191C2×#103—31no—
192C2×#103—31no—
193C2×C22⋊C8—31no—
194C2×C22⋊C8—31no—
195C2×C22⋊C8—31no—
196C2×C22⋊C8—31no—
197C2×C4×C8C2×D311yescharacteristic
198#398—61no—
199#394—61no—
200#388—61no—
201#388—61no—
202#382C2×D311yescharacteristic
203#380—31no—
204#380—31no—
205#340—31no—
206#340—31no—
207#340C2×D311yescharacteristic
208#340C2×D311yescharacteristic
209#340C2×D311yescharacteristic
210#340C2×D311yescharacteristic
211C23×D3C2×D411yescharacteristic
212C23×D3C2×D411yescharacteristic
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4C2×D411yescharacteristic
218C22×C3×C4C2×D411yescharacteristic
219C22×C3×C4C2411yescharacteristic
220C22×Dic3—21no—
221C22×Dic3—21no—
222C22×Dic3—21no—
223C22×Dic3—21no—
224C22×Dic3C2×D411yescharacteristic
225C22×Dic3C2×D411yescharacteristic
226C2×D12—22no—
227C2×D12—22no—
228C2×D12—41no—
229C2×C4×D3—24no—
230C2×C4×D3—21no—
231C2×C4×D3—21no—
232C2×C4×D3—21no—
233C2×C4×D3—21no—
234C2×C4×D3—21no—
235C2×C4×D3—21no—
236C2×C4×D3—21no—
237C2×C4×D3—21no—
238C2×C4×D3—21no—
239C2×C4×D3—21no—
240C2×C4×D3—21no—
241C2×C4×D3—21no—
242C2×C4×D3—42no—
243C2×C4×D3—42no—
244C2×Dic6—21no—
245C2×Dic6—21no—
246C2×Dic6—21no—
247C2×Dic6—21no—
248C2×Dic6—21no—
249C2×Dic6—21no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6—21no—
254C2×Dic6C2×D412yes—
255C2×Dic6#4112yes—
256C2×C3×C8—21no—
257C2×C3×C8—21no—
258C2×C3×C8—21no—
259C2×C3×C8—21no—
260C2×C3×C8—21no—
261C2×C3×C8#4112yes—
262C3×C4⋊C4—24no—
263C3×C4⋊C4—24no—
264C3×C4⋊C4—21no—
265C3×C4⋊C4—21no—
266C3×C4⋊C4—21no—
267C3×C4⋊C4—21no—
268C3×C4⋊C4—21no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4C2×D412yes—
271C3×C4⋊C4C2×D412yes—
272C3×C42C2×D412yes—
273C3×C42C2×D412yes—
274(C2×D3)⋊C4—24no—
275(C2×D3)⋊C4—24no—
276(C2×D3)⋊C4—24no—
277(C2×D3)⋊C4—22no—
278(C2×D3)⋊C4—22no—
279(C2×D3)⋊C4—42no—
280(C2×D3)⋊C4—42no—
281(C2×D3)⋊C4—42no—
282(C2×D3)⋊C4—42no—
283C4⋊Dic3—24no—
284C4⋊Dic3—24no—
285C4⋊Dic3—22no—
286C4⋊Dic3—21no—
287C4⋊Dic3—21no—
288C4⋊Dic3—21no—
289C4⋊Dic3—42no—
290C4⋊Dic3—42no—
291C4⋊Dic3C2×D412yes—
292Dic3⋊C4—24no—
293Dic3⋊C4—24no—
294Dic3⋊C4—42no—
295C4×Dic3—24no—
296C4×Dic3—24no—
297C4×Dic3—42no—
298C2×C3⋊C8—21no—
299C2×C3⋊C8—21no—
300C2×C3⋊C8—21no—
301C2×C3⋊C8—21no—
302C2×C3⋊C8—21no—
303C2×C3⋊C8—21no—
304Dic12—28no—
305C22×Q8—31no—
306C22×Q8—31no—
307C22×D4—31no—
308C23×C4—31no—
309C23×C4—31no—
310C23×C4—61no—
311C2×Q16—62no—
312C2×Q16—62no—
313C2×Q16—62no—
314C22×C8—31no—
315C22×C8—31no—
316C22×C8C22×D311yescharacteristic
317C22×C8C22×D311yescharacteristic
318#126—68no—
319#125—22no—
320#125—68no—
321#125D1214yes—
322#123—68no—
323C22⋊Q8—62no—
324C22⋊Q8—62no—
325C22⋊Q8—62no—
326C22⋊Q8—62no—
327C22⋊Q8—62no—
328C22⋊Q8—62no—
329C22⋊Q8—121no—
330C22⋊Q8—121no—
331C4×Q8—34no—
332C4×Q8—62no—
333C4×Q8—62no—
334C4×Q8—62no—
335C4×D4—62no—
336C4×D4—62no—
337#117—62no—
338#117—68no—
339#117—62no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—31no—
343C2×C4⋊C4—31no—
344C2×C4⋊C4—31no—
345C2×C4⋊C4—62no—
346C2×C4⋊C4—61no—
347C2×C4⋊C4—61no—
348C2×C4⋊C4—61no—
349C2×C4⋊C4—61no—
350C2×C4⋊C4—62no—
351C2×C4⋊C4—61no—
352C2×C4⋊C4—61no—
353C2×C4⋊C4—61no—
354C2×C4⋊C4C22×D311yescharacteristic
355C2×C4⋊C4C22×D311yescharacteristic
356C2×C4⋊C4C22×D311yescharacteristic
357C2×C4⋊C4C22×D311yescharacteristic
358C2×C22⋊C4—31no—
359C2×C22⋊C4—31no—
360C2×C22⋊C4—61no—
361C2×C22⋊C4—61no—
362C2×C22⋊C4—61no—
363C2×C22⋊C4—61no—
364C2×C22⋊C4—61no—
365C2×C22⋊C4—61no—
366C2×C22⋊C4—61no—
367C2×C42—61no—
368C2×C42—61no—
369C2×C42—61no—
370C2×C42C22×D311yescharacteristic
371#107—62no—
372#107—62no—
373#106—62no—
374C4⋊C8—62no—
375#103—62no—
376#103—62no—
377#103—62no—
378#103—62no—
379#103—121no—
380#103—121no—
381C22⋊C8—62no—
382C22⋊C8—62no—
383C22⋊C8—121no—
384C22⋊C8—121no—
385C4×C8—22no—
386#95—21no—
387#95—21no—
388#95—61no—
389#95—61no—
390C23×C3C22×D411yescharacteristic
391C22×D3—21no—
392C22×D3—21no—
393C22×D3—21no—
394C22×D3—21no—
395C22×D3—21no—
396C22×D3—21no—
397C22×D3—21no—
398C22×D3—21no—
399C22×D3—21no—
400C22×D3—21no—
401C22×D3—21no—
402C22×D3—21no—
403C22×D3—21no—
404C22×D3#13512yes—
405C2×C3×C4—21no—
406C2×C3×C4—21no—
407C2×C3×C4—21no—
408C2×C3×C4—21no—
409C2×C3×C4—22no—
410C2×C3×C4—22no—
411C2×C3×C4—41no—
412C2×C3×C4—41no—
413C2×C3×C4—41no—
414C2×C3×C4—41no—
415C2×C3×C4—41no—
416C2×C3×C4—41no—
417C2×C3×C4—41no—
418C2×C3×C4—41no—
419C2×C3×C4—41no—
420C2×C3×C4—41no—
421C2×C3×C4#12012yes—
422C2×C3×C4#12012yes—
423C2×C3×C4C22×D411yescharacteristic
424C2×C3×C4C22×D411yescharacteristic
425C2×C3×C4C2×#4111yescharacteristic
426C2×C3×C4C2×#4111yescharacteristic
427C2×C3×C4H(5,𝔽2)11yescharacteristic
428C2×C3×C42−1+411yescharacteristic
429C2×Dic3—22no—
430C2×Dic3—21no—
431C2×Dic3—22no—
432C2×Dic3—21no—
433C2×Dic3—22no—
434C2×Dic3—21no—
435C2×Dic3—21no—
436C2×Dic3—21no—
437C2×Dic3—21no—
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—
447D12—44no—
448C4×D3—48no—
449C4×D3—41no—
450C4×D3—41no—
451C4×D3—41no—
452C4×D3—41no—
453C4×D3—41no—
454C4×D3—41no—
455C4×D3—41no—
456C4×D3—41no—
457Dic6—22no—
458Dic6—22no—
459Dic6—22no—
460Dic6—22no—
461Dic6—41no—
462Dic6—41no—
463Dic6—41no—
464Dic6—41no—
465C3×C8—22no—
466C3×C8—41no—
467C3⋊C8—41no—
468C3⋊C8—41no—
469C24—31no—
470C24—31no—
471C2×Q8—32no—
472C2×Q8—32no—
473C2×Q8—61no—
474C2×Q8—61no—
475C2×Q8—61no—
476C2×Q8—61no—
477C2×Q8—61no—
478C2×Q8—61no—
479C2×Q8—61no—
480C2×Q8—61no—
481C2×Q8—61no—
482C2×Q8—61no—
483C2×D4—62no—
484C2×D4—62no—
485C2×D4—121no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
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—61no—
502C22×C4—61no—
503C22×C4—61no—
504C22×C4—61no—
505C22×C4—61no—
506C22×C4—61no—
507C22×C4—61no—
508C22×C4—61no—
509C22×C4—122no—
510C22×C4—122no—
511C22×C4D3×D411yescharacteristic
512C22×C4D3×D411yescharacteristic
513C22×C4C23×D311yescharacteristic
514Q16—68no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—61no—
521C2×C8—61no—
522C2×C8—61no—
523C2×C8—61no—
524C2×C8—61no—
525C2×C8—61no—
526C2×C8#23912yes—
527C4⋊C4—24no—
528C4⋊C4—24no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—32no—
536C4⋊C4—64no—
537C4⋊C4—64no—
538C4⋊C4—64no—
539C4⋊C4—62no—
540C4⋊C4—64no—
541C4⋊C4—61no—
542C4⋊C4—61no—
543C4⋊C4—61no—
544C4⋊C4—122no—
545C4⋊C4—122no—
546C4⋊C4—122no—
547C4⋊C4C2×D1212yes—
548C4⋊C4C2×D1212yes—
549C22⋊C4—64no—
550C22⋊C4—64no—
551C22⋊C4—64no—
552C22⋊C4—62no—
553C22⋊C4—62no—
554C22⋊C4—122no—
555C22⋊C4—122no—
556C22⋊C4—122no—
557C22⋊C4—122no—
558C42—64no—
559C42—64no—
560C42—122no—
561C42C2×D1212yes—
562C42D3×D412yes—
563C22×C3C2×#12011yescharacteristic
564C22×C3#54611yescharacteristic
565C22×C3#54711yescharacteristic
566C22×C3C2×#13511yescharacteristic
567C22×C3#57511yescharacteristic
568C22×C3#57811yescharacteristic
569C22×C3#57811yescharacteristic
570C2×D3—22no—
571C2×D3—22no—
572C2×D3—22no—
573C2×D3—41no—
574C2×D3—41no—
575C2×D3—41no—
576C2×D3—41no—
577C2×D3—41no—
578C2×D3—41no—
579C2×D3—41no—
580C2×D3—41no—
581C2×D3—41no—
582C2×D3—41no—
583C2×D3—41no—
584C3×C4—22no—
585C3×C4—22no—
586C3×C4—42no—
587C3×C4—42no—
588C3×C4—81no—
589C3×C4—81no—
590C3×C4#52511yescharacteristic
591C3×C4#53711yescharacteristic
592C3×C4#54811yescharacteristic
593C3×C4#55011yescharacteristic
594Dic3—42no—
595Dic3—42no—
596Dic3—41no—
597Dic3—41no—
598Dic3—42no—
599Dic3—81no—
600C23—32no—
601C23—61no—
602C23—61no—
603C23—61no—
604C23—61no—
605C23—61no—
606C23—61no—
607C23—61no—
608C23—61no—
609C23—61no—
610C23—61no—
611C23—61no—
612C23—61no—
613C23—61no—
614C23C2×D3×D411yescharacteristic
615Q8—62no—
616Q8—62no—
617Q8—62no—
618Q8—62no—
619Q8—121no—
620Q8—121no—
621Q8—121no—
622Q8—121no—
623D4—124no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—62no—
641C2×C4—61no—
642C2×C4—61no—
643C2×C4—61no—
644C2×C4—61no—
645C2×C4—62no—
646C2×C4—61no—
647C2×C4—62no—
648C2×C4—61no—
649C2×C4—128no—
650C2×C4—121no—
651C2×C4—121no—
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#88212yes—
668C2×C4#88212yes—
669C2×C4C22×D1211yescharacteristic
670C2×C4C2×D3×D411yescharacteristic
671C2×C4C2×#23911yescharacteristic
672C2×C4#100711yescharacteristic
673C2×C4D3×#4111yescharacteristic
674C2×C4#100911yescharacteristic
675C8—22no—
676C8—41no—
677C8—121no—
678C8—121no—
679C2×C3#240711yescharacteristic
680C2×C3#300211yescharacteristic
681C2×C3#301111yescharacteristic
682C2×C3#330011yescharacteristic
683C2×C3#332711yescharacteristic
684C2×C3#333611yescharacteristic
685C2×C3#335211yescharacteristic
686D3—42no—
687D3—81no—
688C22—62no—
689C22—62no—
690C22—62no—
691C22—121no—
692C22—121no—
693C22—121no—
694C22—121no—
695C22—121no—
696C22—121no—
697C22—121no—
698C22—121no—
699C22—121no—
700C22—121no—
701C22—121no—
702C22C2×#88211yescharacteristic
703C22#567611yescharacteristic
704C22#572611yescharacteristic
705C22D3×#13511yescharacteristic
706C22#576811yescharacteristic
707C22#577111yescharacteristic
708C22#577111yescharacteristic
709C4—22no—
710C4—22no—
711C4—42no—
712C4—42no—
713C4—81no—
714C4—81no—
715C4—121no—
716C4—121no—
717C4—122no—
718C4—122no—
719C4—122no—
720C4—241no—
721C4#557611yescharacteristic
722C4#557711yescharacteristic
723C4#562711yescharacteristic
724C4#562911yescharacteristic
725C3#2412711yescharacteristic, complemented, Sylow
726C2—122no—
727C2—241no—
728C2#7661811yescharacteristic
729C2#7883311yescharacteristic
730C2#7883711yescharacteristic
731C2#8165411yescharacteristic
732C2#8165911yescharacteristic
733C2#8192411yescharacteristic
734C2#8192811yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1991C2
socleC23×C3C22×D4
prime radicalC22×D12D4
hypercenter#1991D3
hypocenterC3#24127
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1991

Complements

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

NH ≅ G/Ntype
2. C2×#5063C2semidirect
3. C2×C4×Dic12C2semidirect
5. C3×#1991C2semidirect
7. #69559C2semidirect
8. #68888C2semidirect
9. #68888C2semidirect
10. #68879C2semidirect
11. #68878C2semidirect
12. #68877C2semidirect
13. #68874C2semidirect
14. #68825C2semidirect
15. #68824C2semidirect
72. #1991D3semidirect
725. C3#24127semidirect

Maximal subgroups

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

subgroupindex
C2×#56942
C2×#50632
C2×C4×Dic122
#742402
C3×#19912
#697872
#695592
#688882
#688792
#688782
#688772
#688742
#688252
#688242
#241273