Finite Group Databasebeta

← #10804444

Subgroups — #10804444

Order 768.

1394 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5596C211yesmaximal, characteristic
2#73863C211yesmaximal, characteristic, complemented
3#73437C211yesmaximal, characteristic, complemented
4C3×#1964C211yesmaximal, characteristic, complemented
5#71686C211yesmaximal, characteristic, complemented
6#70030C214yesmaximal, complemented
7#70027C214yesmaximal, complemented
8#69528C211yesmaximal, characteristic, complemented
9#69456C211yesmaximal, characteristic, complemented
10#21794—31nomaximal, Sylow
11C22×#237C2212yes—
12C2×C3×#121C2211yescharacteristic
13C2×#940C411yescharacteristic, complemented
14C2×#939C2212yes—
15C2×D4×Dic3C411yescharacteristic, complemented
16C2×#930C2211yescharacteristic
17C22×C4×Dic3C2211yescharacteristic
18#5596—21no—
19#5596—21no—
20#5596—21no—
21#5596—21no—
22#5596—21no—
23#5596—21no—
24#5596—21no—
25#5596—21no—
26C2×#893C411yescharacteristic, complemented
27C2×#888C411yescharacteristic, complemented
28C2×#885C412yescomplemented
29C2×#67⋊C4C412yescomplemented
30C2×C3×#99C2214yes—
31C3×#380C2211yescharacteristic
32C3×C4×C22⋊C4C2211yescharacteristic
33C2×#834C2214yes—
34#5212C2211yescharacteristic
35C4×#217C2211yescharacteristic
36#4977—21no—
37Dic3×C4⋊C4—21no—
38C2×#806C2214yes—
39C2×#806C2214yes—
40#4943C2212yes—
41#4943C2212yes—
42#4942C2212yes—
43Dic3×C22⋊C4C2212yes—
44#4932—21no—
45C4×Dic3⋊C4—21no—
46#4651—21no—
47#4651—21no—
48#4650—21no—
49#4648—21no—
50C2×#532—31no—
51#2283—31no—
52#2283—31no—
53#1964—34no—
54#1964—31no—
55#1964—31no—
56#1964—31no—
57#1964D311yescharacteristic, complemented
58#1782—34no—
59C22×C3×D4C2×C411yescharacteristic
60C22×C3×D4C2312yes—
61C23×C3×C4C2311yescharacteristic
62C22×#67C2×C412yes—
63C22×#67C2×C412yes—
64C22×#67C2312yes—
65C23×Dic3C2×C412yes—
66C23×Dic3C2311yescharacteristic
67C23×Dic3C2311yescharacteristic
68C2×#237—22no—
69C2×#237—22no—
70C2×#237—22no—
71C2×#237—22no—
72C2×#237—44no—
73C2×#237—44no—
74C22×D12C2×C411yescharacteristic
75C22×C4×D3C2×C412yes—
76C22×Dic6C2×C412yes—
77C3×#121—21no—
78C3×#121—21no—
79C3×#121—21no—
80C3×#121—21no—
81C2×C3×C4⋊C4—21no—
82C2×C3×C4⋊C4C2×C411yescharacteristic
83C2×C3×C22⋊C4C2×C412yes—
84C2×C3×C22⋊C4C2312yes—
85C2×C3×C22⋊C4C2312yes—
86C2×C3×C42—21no—
87C2×#217C2×C412yes—
88C2×#217C2312yes—
89C2×#217C2312yes—
90#940—21no—
91#940—21no—
92#940—21no—
93#940—21no—
94#939—22no—
95#939—22no—
96#939—22no—
97#939—22no—
98D4×Dic3—21no—
99D4×Dic3—21no—
100D4×Dic3—21no—
101D4×Dic3—21no—
102#930—21no—
103#930—21no—
104#930—21no—
105#930—21no—
106C2×(C2×D3)⋊C4C2×C412yes—
107C2×(C2×D3)⋊C4C2×C412yes—
108C2×C4⋊Dic3—21no—
109C2×C4⋊Dic3C2×C411yescharacteristic
110C2×Dic3⋊C4—22no—
111C2×Dic3⋊C4C2×C412yes—
112C2×C4×Dic3—21no—
113C2×C4×Dic3—22no—
114C2×C4×Dic3C2×C411yescharacteristic
115C2×C4×Dic3C2×C411yescharacteristic
116C2×C4×Dic3C2×C411yescharacteristic
117C2×C4×Dic3C2×C411yescharacteristic
118C2×C4×Dic3D411yescharacteristic
119C2×C4×Dic3D411yescharacteristic
120C2×C4×Dic3D411yescharacteristic
121C2×C4×Dic3D411yescharacteristic
122C2×C4×Dic3D411yescharacteristic
123C2×C4×Dic3D411yescharacteristic
124C2×C4×Dic3D411yescharacteristic
125C2×C4×Dic3D411yescharacteristic
126#893—21no—
127#893—21no—
128#893—21no—
129#893—21no—
130#888—21no—
131#888—21no—
132#888—21no—
133#888—21no—
134#885—22no—
135#885—22no—
136#885—22no—
137#885—22no—
138#67⋊C4—22no—
139#67⋊C4—22no—
140#67⋊C4—22no—
141#67⋊C4—22no—
142C3×#99—44no—
143C3×#95—21no—
144C3×#95—21no—
145#834—44no—
146C3⋊#95—21no—
147C3⋊#95—21no—
148C3⋊#95—22no—
149C3⋊#95—22no—
150C3⋊#95—22no—
151C3⋊#95—22no—
152C3⋊#95—22no—
153C3⋊#95—22no—
154#806—44no—
155#806—44no—
156C22×#41—32no—
157#532—61no—
158#532—61no—
159#532—61no—
160#532—61no—
161#532—61no—
162#532—61no—
163#532—61no—
164#532—61no—
165C2×C4⋊Q8—31no—
166C2×#127—31no—
167C2×#124—32no—
168C2×#121—32no—
169C2×#121—31no—
170C2×#121C2×D311yescharacteristic
171C2×C4×D4—31no—
172C2×C4×D4—31no—
173C2×C4×D4—32no—
174C22×C42—31no—
175C2×#99—34no—
176C2×#99—34no—
177C2×#99—34no—
178C2×#99C2×D314yes—
179#383—61no—
180#383—61no—
181#382—61no—
182#382—61no—
183#381—32no—
184#381—32no—
185#380—31no—
186#380—32no—
187#380C2×D311yescharacteristic
188C4×C4⋊C4—61no—
189C4×C4⋊C4—61no—
190C4×C22⋊C4—31no—
191C4×C22⋊C4—32no—
192C4×C22⋊C4C2×D311yescharacteristic
193#376—61no—
194#376—61no—
195C24×C3C22×C412yes—
196C24×C3C2411yescharacteristic
197C23×D3C22×C412yes—
198C2×C3×D4—22no—
199C2×C3×D4—22no—
200C2×C3×D4—24no—
201C2×C3×D4—24no—
202C2×C3×D4—21no—
203C2×C3×D4—21no—
204C2×C3×D4—42no—
205C22×C3×C4—22no—
206C22×C3×C4—22no—
207C22×C3×C4—42no—
208C22×C3×C4C22×C412yes—
209C22×C3×C4C22×C411yescharacteristic
210C22×C3×C4C22×C411yescharacteristic
211C22×C3×C4C2×D411yescharacteristic
212C22×C3×C4C2×D411yescharacteristic
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2×D411yescharacteristic
215C2×#67—22no—
216C2×#67—22no—
217C2×#67—24no—
218C2×#67—24no—
219C2×#67—22no—
220C2×#67—22no—
221C2×#67—22no—
222C2×#67—22no—
223C2×#67—44no—
224C2×#67—44no—
225C22×Dic3—22no—
226C22×Dic3—22no—
227C22×Dic3—22no—
228C22×Dic3—22no—
229C22×Dic3—22no—
230C22×Dic3—22no—
231C22×Dic3—42no—
232C22×Dic3—44no—
233C22×Dic3C22×C412yes—
234C22×Dic3C22×C411yescharacteristic
235C22×Dic3C22×C411yescharacteristic
236C22×Dic3C22×C411yescharacteristic
237C22×Dic3C22×C411yescharacteristic
238C22×Dic3C2×D411yescharacteristic
239C22×Dic3C2×D411yescharacteristic
240C22×Dic3C2×D411yescharacteristic
241C22×Dic3C2×D411yescharacteristic
242C22×Dic3C2×D411yescharacteristic
243C22×Dic3C2×D411yescharacteristic
244C22×Dic3C2×D411yescharacteristic
245C22×Dic3C2×D411yescharacteristic
246#237—44no—
247#237—44no—
248#237—44no—
249#237—44no—
250#237—48no—
251#237—48no—
252C2×D12—21no—
253C2×D12—21no—
254C2×D12—42no—
255C2×C4×D3—22no—
256C2×C4×D3—22no—
257C2×C4×D3—44no—
258C2×Dic6—22no—
259C2×Dic6—22no—
260C2×Dic6—44no—
261C3×C4⋊C4—21no—
262C3×C4⋊C4—21no—
263C3×C4⋊C4—42no—
264C3×C22⋊C4—22no—
265C3×C22⋊C4—22no—
266C3×C22⋊C4—22no—
267C3×C22⋊C4—24no—
268C3×C22⋊C4—22no—
269C3×C42—42no—
270#217—22no—
271#217—22no—
272#217—22no—
273#217—24no—
274#217—22no—
275(C2×D3)⋊C4—22no—
276(C2×D3)⋊C4—22no—
277(C2×D3)⋊C4—22no—
278(C2×D3)⋊C4—22no—
279C4⋊Dic3—21no—
280C4⋊Dic3—21no—
281C4⋊Dic3—42no—
282Dic3⋊C4—22no—
283Dic3⋊C4—22no—
284Dic3⋊C4—44no—
285C4×Dic3—44no—
286C4×Dic3—42no—
287C4×Dic3C22⋊C411yescharacteristic
288C4×Dic3C22⋊C411yescharacteristic
289C4×Dic3C22⋊C411yescharacteristic
290C4×Dic3C22⋊C411yescharacteristic
291C4×Dic3C22⋊C411yescharacteristic
292C4×Dic3C22⋊C411yescharacteristic
293C4×Dic3C22⋊C411yescharacteristic
294C4×Dic3C22⋊C411yescharacteristic
295C4×Dic3C22⋊C411yescharacteristic
296C4×Dic3C22⋊C411yescharacteristic
297C4×Dic3C22⋊C411yescharacteristic
298C4×Dic3C22⋊C411yescharacteristic
299C4×Dic3C22⋊C411yescharacteristic
300C4×Dic3C22⋊C411yescharacteristic
301C4×Dic3C22⋊C411yescharacteristic
302C4×Dic3C22⋊C411yescharacteristic
303C2×#41—62no—
304C2×#41—62no—
305C2×#41—62no—
306C2×#41—62no—
307C2×#41—124no—
308C2×#41—124no—
309C22×Q8—32no—
310C22×D4—32no—
311C22×D4—32no—
312C22×D4—32no—
313C22×D4—31no—
314C22×D4C4×D311yescharacteristic
315C22×D4C22×D312yes—
316C23×C4—31no—
317C23×C4—31no—
318C23×C4—32no—
319C23×C4—32no—
320C23×C4C22×D311yescharacteristic
321C4⋊Q8—61no—
322C4⋊Q8—61no—
323C4⋊Q8—61no—
324C4⋊Q8—61no—
325#127—61no—
326#127—61no—
327#127—61no—
328#127—61no—
329#124—62no—
330#124—62no—
331#124—62no—
332#124—62no—
333#121—21no—
334#121—21no—
335#121—21no—
336#121—21no—
337#121—62no—
338#121—62no—
339#121—62no—
340#121—62no—
341#121—61no—
342#121—61no—
343#121—61no—
344#121—61no—
345C4×D4—62no—
346C4×D4—62no—
347C4×D4—62no—
348C4×D4—62no—
349C4×D4—61no—
350C4×D4—61no—
351C4×D4—61no—
352C4×D4—61no—
353C4×D4—61no—
354C4×D4—61no—
355C4×D4—61no—
356C4×D4—61no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—32no—
359C2×C4⋊C4—31no—
360C2×C4⋊C4—62no—
361C2×C4⋊C4—61no—
362C2×C4⋊C4C4×D311yescharacteristic
363C2×C22⋊C4—32no—
364C2×C22⋊C4—32no—
365C2×C22⋊C4—32no—
366C2×C22⋊C4—32no—
367C2×C22⋊C4—32no—
368C2×C22⋊C4C4×D312yes—
369C2×C22⋊C4C22×D312yes—
370C2×C22⋊C4C22×D312yes—
371C2×C42—21no—
372C2×C42—31no—
373C2×C42—31no—
374C2×C42—31no—
375C2×C42—31no—
376C2×C42—31no—
377C2×C42—31no—
378C2×C42—31no—
379C2×C42—31no—
380C2×C42—31no—
381C2×C42—31no—
382C2×C42—31no—
383C2×C42—31no—
384C2×C42—62no—
385C2×C42—61no—
386#99—44no—
387#99—124no—
388#99—124no—
389#99—124no—
390#95—21no—
391#95—21no—
392#95—62no—
393#95—62no—
394#95—62no—
395#95—62no—
396#95—62no—
397#95—62no—
398#95—61no—
399#95—61no—
400C23×C3—22no—
401C23×C3—24no—
402C23×C3—41no—
403C23×C3—41no—
404C23×C3—42no—
405C23×C3—42no—
406C23×C3C23×C411yescharacteristic
407C23×C3C22×D411yescharacteristic
408C23×C3C22×D411yescharacteristic
409C23×C3H(5,𝔽2)12yes—
410C23×C3H(5,𝔽2)12yes—
411C22×D3—22no—
412C22×D3—24no—
413C22×D3—42no—
414C22×D3—42no—
415C3×D4—42no—
416C3×D4—42no—
417C3×D4—42no—
418C3×D4—44no—
419C3×D4—42no—
420C2×C3×C4—22no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—24no—
425C2×C3×C4—41no—
426C2×C3×C4—41no—
427C2×C3×C4—41no—
428C2×C3×C4—42no—
429C2×C3×C4—42no—
430C2×C3×C4—42no—
431C2×C3×C4—42no—
432C2×C3×C4—42no—
433C2×C3×C4—42no—
434C2×C3×C4C2×C22⋊C411yescharacteristic
435C2×C3×C4C2×C22⋊C411yescharacteristic
436C2×C3×C4C2×C22⋊C411yescharacteristic
437C2×C3×C4C2×C22⋊C411yescharacteristic
438#67—44no—
439#67—44no—
440#67—44no—
441#67—42no—
442#67—42no—
443#67—44no—
444#67—44no—
445C2×Dic3—22no—
446C2×Dic3—22no—
447C2×Dic3—21no—
448C2×Dic3—21no—
449C2×Dic3—21no—
450C2×Dic3—21no—
451C2×Dic3—22no—
452C2×Dic3—22no—
453C2×Dic3—22no—
454C2×Dic3—22no—
455C2×Dic3—22no—
456C2×Dic3—22no—
457C2×Dic3—24no—
458C2×Dic3—41no—
459C2×Dic3—41no—
460C2×Dic3—41no—
461C2×Dic3—44no—
462C2×Dic3—44no—
463C2×Dic3—42no—
464C2×Dic3—42no—
465C2×Dic3—42no—
466C2×Dic3—42no—
467C2×Dic3—42no—
468C2×Dic3—42no—
469C2×Dic3C2×C22⋊C411yescharacteristic
470C2×Dic3C2×C22⋊C411yescharacteristic
471C2×Dic3C2×C22⋊C411yescharacteristic
472C2×Dic3C2×C22⋊C411yescharacteristic
473C2×Dic3C2×C22⋊C411yescharacteristic
474C2×Dic3C2×C22⋊C411yescharacteristic
475C2×Dic3C2×C22⋊C411yescharacteristic
476C2×Dic3C2×C22⋊C411yescharacteristic
477D12—42no—
478D12—42no—
479C4×D3—44no—
480C4×D3—44no—
481Dic6—44no—
482Dic6—44no—
483C24—32no—
484C24C2×C4×D312yes—
485C24C23×D311yescharacteristic
486#41—124no—
487#41—124no—
488#41—124no—
489#41—124no—
490#41—128no—
491#41—128no—
492C2×Q8—62no—
493C2×Q8—62no—
494C2×Q8—124no—
495C2×D4—22no—
496C2×D4—22no—
497C2×D4—24no—
498C2×D4—24no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—42no—
502C2×D4—62no—
503C2×D4—62no—
504C2×D4—62no—
505C2×D4—62no—
506C2×D4—62no—
507C2×D4—62no—
508C2×D4—64no—
509C2×D4—64no—
510C2×D4—61no—
511C2×D4—61no—
512C2×D4—122no—
513C2×D4—124no—
514C2×D4—124no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—31no—
518C22×C4—31no—
519C22×C4—31no—
520C22×C4—31no—
521C22×C4—31no—
522C22×C4—31no—
523C22×C4—31no—
524C22×C4—31no—
525C22×C4—31no—
526C22×C4—31no—
527C22×C4—31no—
528C22×C4—31no—
529C22×C4—32no—
530C22×C4—42no—
531C22×C4—62no—
532C22×C4—62no—
533C22×C4—62no—
534C22×C4—62no—
535C22×C4—62no—
536C22×C4—62no—
537C22×C4—62no—
538C22×C4—62no—
539C22×C4—124no—
540C22×C4—122no—
541C22×C4—124no—
542C22×C4C2×C4×D312yes—
543C22×C4C2×C4×D311yescharacteristic
544C22×C4C2×C4×D311yescharacteristic
545C22×C4D3×D411yescharacteristic
546C22×C4D3×D411yescharacteristic
547C22×C4D3×D411yescharacteristic
548C22×C4D3×D411yescharacteristic
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—42no—
552C4⋊C4—62no—
553C4⋊C4—62no—
554C4⋊C4—61no—
555C4⋊C4—61no—
556C4⋊C4—122no—
557C4⋊C4—124no—
558C22⋊C4—22no—
559C22⋊C4—22no—
560C22⋊C4—22no—
561C22⋊C4—24no—
562C22⋊C4—22no—
563C22⋊C4—62no—
564C22⋊C4—62no—
565C22⋊C4—62no—
566C22⋊C4—62no—
567C22⋊C4—62no—
568C22⋊C4—62no—
569C22⋊C4—62no—
570C22⋊C4—64no—
571C22⋊C4—62no—
572C42—31no—
573C42—31no—
574C42—31no—
575C42—31no—
576C42—31no—
577C42—31no—
578C42—31no—
579C42—31no—
580C42—31no—
581C42—31no—
582C42—31no—
583C42—31no—
584C42—31no—
585C42—31no—
586C42—31no—
587C42—31no—
588C42—42no—
589C42—122no—
590C42—124no—
591C22×C3—21no—
592C22×C3—21no—
593C22×C3—21no—
594C22×C3—21no—
595C22×C3—21no—
596C22×C3—21no—
597C22×C3—42no—
598C22×C3—42no—
599C22×C3—42no—
600C22×C3—42no—
601C22×C3—42no—
602C22×C3—84no—
603C22×C3C22×C22⋊C411yescharacteristic
604C22×C3#51812yes—
605C22×C3#53511yescharacteristic
606C22×C3#53511yescharacteristic
607C22×C3#53512yes—
608C2×D3—42no—
609C2×D3—42no—
610C2×D3—42no—
611C2×D3—84no—
612C3×C4—21no—
613C3×C4—21no—
614C3×C4—21no—
615C3×C4—42no—
616C3×C4—82no—
617C3×C4—82no—
618C3×C4#41012yes—
619Dic3—21no—
620Dic3—21no—
621Dic3—21no—
622Dic3—21no—
623Dic3—21no—
624Dic3—21no—
625Dic3—21no—
626Dic3—42no—
627Dic3—82no—
628Dic3—82no—
629Dic3#41012yes—
630C23—22no—
631C23—24no—
632C23—41no—
633C23—41no—
634C23—42no—
635C23—42no—
636C23—62no—
637C23—64no—
638C23—122no—
639C23—122no—
640C23C22×C4×D311yescharacteristic
641C23C2×D3×D411yescharacteristic
642C23C2×D3×D411yescharacteristic
643C23#100412yes—
644C23#100912yes—
645Q8—124no—
646Q8—124no—
647D4—42no—
648D4—42no—
649D4—42no—
650D4—44no—
651D4—42no—
652D4—122no—
653D4—124no—
654D4—124no—
655D4—124no—
656D4—124no—
657D4—122no—
658D4—122no—
659D4—124no—
660D4—122no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—24no—
666C2×C4—31no—
667C2×C4—31no—
668C2×C4—31no—
669C2×C4—31no—
670C2×C4—31no—
671C2×C4—31no—
672C2×C4—31no—
673C2×C4—31no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—62no—
684C2×C4—62no—
685C2×C4—62no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—62no—
691C2×C4—62no—
692C2×C4—62no—
693C2×C4—62no—
694C2×C4—62no—
695C2×C4—64no—
696C2×C4—124no—
697C2×C4—124no—
698C2×C4—121no—
699C2×C4—121no—
700C2×C4—121no—
701C2×C4—124no—
702C2×C4—124no—
703C2×C4—122no—
704C2×C4—122no—
705C2×C4—122no—
706C2×C4—122no—
707C2×C4—122no—
708C2×C4—122no—
709C2×C4D3×C22⋊C411yescharacteristic
710C2×C4D3×C22⋊C411yescharacteristic
711C2×C4D3×C22⋊C411yescharacteristic
712C2×C4D3×C22⋊C411yescharacteristic
713C2×C3—21no—
714C2×C3—22no—
715C2×C3—21no—
716C2×C3—22no—
717C2×C3—82no—
718C2×C3#230911yescharacteristic
719C2×C3C2×#41011yescharacteristic
720C2×C3C2×#41011yescharacteristic
721D3—82no—
722C22—21no—
723C22—21no—
724C22—21no—
725C22—21no—
726C22—21no—
727C22—21no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—42no—
732C22—42no—
733C22—84no—
734C22—122no—
735C22—122no—
736C22—122no—
737C22—244no—
738C22C2×D3×C22⋊C411yescharacteristic
739C22#554512yes—
740C22#560712yes—
741C22#567411yescharacteristic
742C22#571511yescharacteristic
743C4—21no—
744C4—21no—
745C4—21no—
746C4—32no—
747C4—42no—
748C4—61no—
749C4—61no—
750C4—61no—
751C4—61no—
752C4—61no—
753C4—61no—
754C4—61no—
755C4—82no—
756C4—82no—
757C4—122no—
758C4—242no—
759C4—242no—
760C4#474012yes—
761C3#2179411yescharacteristic, complemented, Sylow
762C2—21no—
763C2—22no—
764C2—21no—
765C2—22no—
766C2—82no—
767C2—242no—
768C2#7642811yescharacteristic
769C2C2×#474011yescharacteristic
770C2D3×#41011yescharacteristic
subgroupG/H
centerC22C2×D3×C22⋊C4
commutatorC23×C3C23×C4
FrattiniC24C23×D3
FittingC3×#1964C2
socleC22×C3C22×C22⋊C4
prime radicalC2×#5596C2
cosocleC24×C3C24
hypercenter#1964D3
hypocenterC3#21794
LCSG ▷ C23×C3 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1964

Complements

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

NH ≅ G/Ntype
2. #73863C2semidirect
3. #73437C2semidirect
4. C3×#1964C2semidirect
5. #71686C2semidirect
6. #70030C2semidirect
7. #70027C2semidirect
8. #69528C2semidirect
9. #69456C2semidirect
13. C2×#940C4semidirect
15. C2×D4×Dic3C4semidirect
26. C2×#893C4semidirect
27. C2×#888C4semidirect
28. C2×#885C4semidirect
29. C2×#67⋊C4C4semidirect
57. #1964D3semidirect
761. C3#21794semidirect

Maximal subgroups

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

subgroupindex
C2×#55962
#738632
#734372
C3×#19642
#716862
#700302
#700272
#695282
#694562
#217943