Finite Group Databasebeta

← #10909532

Subgroups — #10909532

Order 768.

960 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#4867C211yesmaximal, characteristic, complemented
2C2×#4809C211yesmaximal, characteristic, complemented
3#76619C211yesmaximal, characteristic
4#74240C211yesmaximal, characteristic
5C3×#2097C211yesmaximal, characteristic, complemented
6#70635C211yesmaximal, characteristic, complemented
7#70635C211yesmaximal, characteristic, complemented
8#70583C211yesmaximal, characteristic, complemented
9#70273C211yesmaximal, characteristic, complemented
10#70271C211yesmaximal, characteristic, complemented
11#70266C211yesmaximal, characteristic, complemented
12#69690C211yesmaximal, characteristic, complemented
13#69560C211yesmaximal, characteristic, complemented
14#68685C211yesmaximal, characteristic, complemented
15#68669C211yesmaximal, characteristic
16#30427—31nomaximal, Sylow
17C22×D3×Q8C2211yescharacteristic
18C2×#946C2211yescharacteristic
19C22×#216C2211yescharacteristic
20C22×Dic12C2211yescharacteristic
21C22×ΓL(1,𝔽25)C2211yescharacteristic
22C2×#897C2211yescharacteristic
23C2×#897C2211yescharacteristic
24C2×#897C2211yescharacteristic
25C2×C4×D12C2211yescharacteristic
26C2×C4×Dic6C2211yescharacteristic
27C2×C3×#107C2211yescharacteristic
28C2×C3×#106C2211yescharacteristic
29C2×C3×#103C2211yescharacteristic
30C2×C3×#103C2211yescharacteristic
31C3×#391C2211yescharacteristic
32C3×#382C2211yescharacteristic
33C2×#835C2211yescharacteristic
34C2×(C2×D3)⋊C8C2211yescharacteristic
35C2×(C2×D3)⋊C8C2211yescharacteristic
36C2×(C2×D3)⋊C8C2211yescharacteristic
37C2×#816C2211yescharacteristic
38C2×#816C2211yescharacteristic
39#4987C2211yescharacteristic
40#4987C2211yescharacteristic
41#4987C2211yescharacteristic
42C2×#810C2211yescharacteristic
43C2×#810C2211yescharacteristic
44C2×#810C2211yescharacteristic
45#4929C2211yescharacteristic
46#4867—24no—
47#4809—24no—
48#4673—21no—
49#4672—21no—
50#4670—21no—
51#4670—21no—
52#4668—21no—
53#4665—21no—
54#4661—21no—
55#4656—21no—
56C3×#336C2211yescharacteristic
57#4551C2211yescharacteristic
58#4529C2211yescharacteristic
59#4529C2211yescharacteristic
60#4529C2211yescharacteristic
61#4524C2211yescharacteristic
62C2×#470—31no—
63C2×#451—31no—
64#2536—31no—
65#2409—31no—
66#2097D311yescharacteristic, complemented
67#2077—31no—
68#2074—31no—
69#2036—31no—
70#2036—31no—
71#2001—31no—
72#1894—31no—
73#1878—31no—
74#1878—31no—
75#1870—31no—
76#1787—31no—
77C22×C3×Q8C2311yescharacteristic
78C2×D3×Q8—22no—
79C2×D3×Q8—22no—
80C2×D3×Q8—41no—
81C2×D3×Q8—41no—
82C2×D3×Q8—41no—
83C2×D3×Q8—41no—
84C22×D12D411yescharacteristic
85C22×C4×D3—21no—
86C22×C4×D3C2311yescharacteristic
87C22×C4×D3C2311yescharacteristic
88C22×Dic6—21no—
89C22×Dic6C2311yescharacteristic
90C22×Dic6C2311yescharacteristic
91C22×C3×C8C2311yescharacteristic
92C22×C3×C8C2311yescharacteristic
93C2×C3×C4⋊C4C2311yescharacteristic
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C42C2311yescharacteristic
97#946—22no—
98#946—41no—
99C2×#216—22no—
100C2×#216—22no—
101C2×#216—41no—
102C2×(C2×D3)⋊C4—21no—
103C2×(C2×D3)⋊C4—21no—
104C2×(C2×D3)⋊C4—21no—
105C2×(C2×D3)⋊C4—21no—
106C2×(C2×D3)⋊C4—21no—
107C2×(C2×D3)⋊C4—21no—
108C2×(C2×D3)⋊C4—21no—
109C2×(C2×D3)⋊C4D411yescharacteristic
110C2×(C2×D3)⋊C4D411yescharacteristic
111C2×C4⋊Dic3—21no—
112C2×C4⋊Dic3—21no—
113C2×C4⋊Dic3—21no—
114C2×C4⋊Dic3D411yescharacteristic
115C2×C4⋊Dic3C2311yescharacteristic
116C2×C4⋊Dic3C2311yescharacteristic
117C2×Dic3⋊C4—21no—
118C2×Dic3⋊C4—21no—
119C2×C4×Dic3—21no—
120C22×C3⋊C8C2311yescharacteristic
121C22×C3⋊C8C2311yescharacteristic
122C2×Dic12—41no—
123C2×Dic12—41no—
124C2×Dic12D414yescomplemented
125C2×ΓL(1,𝔽25)—22no—
126C2×ΓL(1,𝔽25)—41no—
127C2×ΓL(1,𝔽25)—41no—
128#897—22no—
129#897—22no—
130#897—22no—
131#897—41no—
132#897—41no—
133#897—41no—
134C4×D12—41no—
135C4×D12—41no—
136C4×Dic6—41no—
137C4×Dic6—41no—
138C3×#107—41no—
139C3×#106—22no—
140C3×#103—22no—
141C3×#103—41no—
142C3×#95—21no—
143C3×#95—21no—
144C3×#95—21no—
145C3×#95—21no—
146#835—41no—
147C3⋊#95—21no—
148C3⋊#95—21no—
149C3⋊#95—21no—
150C3⋊#95—21no—
151C3⋊#95—21no—
152(C2×D3)⋊C8—22no—
153(C2×D3)⋊C8—41no—
154(C2×D3)⋊C8—41no—
155#816—41no—
156#816—41no—
157#810—22no—
158#810—22no—
159#810—22no—
160C23×Q8—31no—
161C22×Q16—31no—
162C22×Q16—31no—
163C22×M16—31no—
164C2×C22⋊Q8—31no—
165C2×C22⋊Q8—31no—
166C2×C22⋊Q8—31no—
167C2×C22⋊Q8—31no—
168C2×C4×Q8—31no—
169C2×C4×D4—31no—
170#470—64no—
171#451—64no—
172C2×#107C2×D311yescharacteristic
173C2×#106C2×D311yescharacteristic
174C2×#103—31no—
175C2×#103—31no—
176C2×#103—31no—
177C2×#103—31no—
178C2×#103—31no—
179C2×#103—31no—
180C2×#103C2×D311yescharacteristic
181C2×#103C2×D311yescharacteristic
182C2×C22⋊C8—31no—
183C2×C22⋊C8—31no—
184C2×C22⋊C8—31no—
185#398—61no—
186#395—61no—
187#394—61no—
188#393—61no—
189#391—31no—
190#391C2×D311yescharacteristic
191#388—61no—
192#388—61no—
193#386—61no—
194#385—61no—
195#382C2×D311yescharacteristic
196#380—31no—
197#380—31no—
198#380—31no—
199#340—31no—
200#340—31no—
201#340—31no—
202#340—31no—
203#336—31no—
204#336C2×D311yescharacteristic
205C23×D3C2×D411yescharacteristic
206C23×D3C2×D411yescharacteristic
207C2×C3×Q8—21no—
208C2×C3×Q8—21no—
209C2×C3×Q8—21no—
210C2×C3×Q8—21no—
211C2×C3×Q8—21no—
212C2×C3×Q8#4112yes—
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
226D3×Q8—44no—
227D3×Q8—44no—
228D3×Q8—44no—
229D3×Q8—44no—
230C2×D12—22no—
231C2×D12—41no—
232C2×D12—41no—
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—21no—
243C2×C4×D3—21no—
244C2×C4×D3—21no—
245C2×C4×D3—42no—
246C2×C4×D3—42no—
247C2×C4×D3—42no—
248C2×Dic6—21no—
249C2×Dic6—21no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6—21no—
254C2×Dic6—21no—
255C2×Dic6—21no—
256C2×Dic6—21no—
257C2×Dic6—21no—
258C2×Dic6—42no—
259C2×Dic6—42no—
260C2×Dic6—42no—
261C2×Dic6C2×D412yes—
262C2×Dic6C2×D412yes—
263C2×C3×C8—21no—
264C2×C3×C8—21no—
265C2×C3×C8—21no—
266C2×C3×C8—21no—
267C2×C3×C8—21no—
268C2×C3×C8C2×D412yes—
269C3×C4⋊C4—21no—
270C3×C4⋊C4—21no—
271C3×C4⋊C4—21no—
272C3×C4⋊C4—21no—
273C3×C4⋊C4—21no—
274C3×C4⋊C4—21no—
275C3×C42—21no—
276C3×C42—21no—
277#216—44no—
278(C2×D3)⋊C4—41no—
279(C2×D3)⋊C4—41no—
280(C2×D3)⋊C4—42no—
281(C2×D3)⋊C4—42no—
282(C2×D3)⋊C4—42no—
283(C2×D3)⋊C4—42no—
284(C2×D3)⋊C4—42no—
285(C2×D3)⋊C4—42no—
286(C2×D3)⋊C4—42no—
287C4⋊Dic3—21no—
288C4⋊Dic3—21no—
289C4⋊Dic3—21no—
290C4⋊Dic3—21no—
291C4⋊Dic3—41no—
292C4⋊Dic3—42no—
293C4⋊Dic3—42no—
294C4⋊Dic3—42no—
295Dic3⋊C4—42no—
296Dic3⋊C4—42no—
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—44no—
305ΓL(1,𝔽25)—44no—
306C22×Q8—31no—
307C22×Q8—31no—
308C22×Q8—61no—
309C22×Q8—62no—
310C22×Q8—62no—
311C22×Q8—121no—
312C22×Q8—121no—
313C22×Q8—121no—
314C22×Q8—121no—
315C22×Q8C22×D311yescharacteristic
316C22×D4—31no—
317C23×C4—31no—
318C23×C4—31no—
319C23×C4—61no—
320C2×Q16—34no—
321C2×Q16—62no—
322C2×Q16—62no—
323C2×Q16—121no—
324C2×Q16—121no—
325C2×Q16—121no—
326C2×M16—62no—
327C2×M16—121no—
328C2×M16—121no—
329C22×C8—31no—
330C22×C8—31no—
331C22×C8C22×D311yescharacteristic
332C22×C8C22×D311yescharacteristic
333C22⋊Q8—62no—
334C22⋊Q8—62no—
335C22⋊Q8—62no—
336C22⋊Q8—62no—
337C22⋊Q8—121no—
338C22⋊Q8—121no—
339C22⋊Q8—121no—
340C22⋊Q8—121no—
341C4×Q8—121no—
342C4×Q8—121no—
343C4×D4—121no—
344C4×D4—121no—
345C2×C4⋊C4—31no—
346C2×C4⋊C4—31no—
347C2×C4⋊C4—31no—
348C2×C4⋊C4—61no—
349C2×C4⋊C4—61no—
350C2×C4⋊C4—61no—
351C2×C4⋊C4—61no—
352C2×C4⋊C4—61no—
353C2×C4⋊C4C22×D311yescharacteristic
354C2×C4⋊C4C22×D311yescharacteristic
355C2×C4⋊C4C22×D311yescharacteristic
356C2×C22⋊C4—31no—
357C2×C22⋊C4—31no—
358C2×C22⋊C4—61no—
359C2×C22⋊C4—61no—
360C2×C22⋊C4—61no—
361C2×C22⋊C4—61no—
362C2×C22⋊C4—61no—
363C2×C22⋊C4—61no—
364C2×C22⋊C4—61no—
365C2×C42—61no—
366C2×C42C22×D311yescharacteristic
367#107—41no—
368#106—22no—
369#103—22no—
370#103—41no—
371#103—62no—
372#103—62no—
373#103—62no—
374#103—121no—
375#103—121no—
376#103—121no—
377C22⋊C8—62no—
378C22⋊C8—121no—
379C22⋊C8—121no—
380#95—21no—
381#95—21no—
382#95—21no—
383#95—21no—
384#95—61no—
385#95—61no—
386#95—61no—
387#95—61no—
388#95—61no—
389C23×C3C22×D411yescharacteristic
390C22×D3—21no—
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#13712yes—
404C3×Q8—22no—
405C3×Q8—22no—
406C3×Q8—41no—
407C3×Q8—41no—
408C2×C3×C4—21no—
409C2×C3×C4—21no—
410C2×C3×C4—22no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
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—41no—
422C2×C3×C4—41no—
423C2×C3×C4—41no—
424C2×C3×C4—41no—
425C2×C3×C4—41no—
426C2×C3×C4C22×D411yescharacteristic
427C2×C3×C4C2×#4111yescharacteristic
428C2×C3×C4H(5,𝔽2)11yescharacteristic
429C2×C3×C4H(5,𝔽2)11yescharacteristic
430C2×C3×C4H(5,𝔽2)11yescharacteristic
431C2×C3×C4H(5,𝔽2)11yescharacteristic
432C2×Dic3—21no—
433C2×Dic3—21no—
434C2×Dic3—21no—
435C2×Dic3—22no—
436C2×Dic3—21no—
437C2×Dic3—22no—
438C2×Dic3—21no—
439C2×Dic3—21no—
440C2×Dic3—41no—
441C2×Dic3—41no—
442C2×Dic3—41no—
443C2×Dic3—41no—
444C2×Dic3—41no—
445C2×Dic3—41no—
446C2×Dic3—41no—
447C2×Dic3—41no—
448C2×Dic3—41no—
449C2×Dic3—41no—
450D12—44no—
451C4×D3—48no—
452C4×D3—41no—
453C4×D3—41no—
454C4×D3—41no—
455C4×D3—41no—
456C4×D3—41no—
457C4×D3—41no—
458C4×D3—41no—
459C4×D3—41no—
460Dic6—22no—
461Dic6—22no—
462Dic6—22no—
463Dic6—22no—
464Dic6—48no—
465Dic6—41no—
466Dic6—41no—
467Dic6—41no—
468Dic6—41no—
469C3×C8—22no—
470C3×C8—41no—
471C3⋊C8—41no—
472C3⋊C8—41no—
473C24—31no—
474C24—31no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—32no—
481C2×Q8—32no—
482C2×Q8—61no—
483C2×Q8—61no—
484C2×Q8—61no—
485C2×Q8—61no—
486C2×Q8—61no—
487C2×Q8—61no—
488C2×Q8—61no—
489C2×Q8—61no—
490C2×Q8—61no—
491C2×Q8—61no—
492C2×Q8—122no—
493C2×Q8—122no—
494C2×Q8—122no—
495C2×Q8—124no—
496C2×Q8—124no—
497C2×Q8—124no—
498C2×Q8—124no—
499C2×Q8#23912yes—
500C2×D4—62no—
501C2×D4—121no—
502C2×D4—121no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—31no—
508C22×C4—31no—
509C22×C4—61no—
510C22×C4—61no—
511C22×C4—61no—
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×C4—61no—
521C22×C4—61no—
522C22×C4—61no—
523C22×C4—61no—
524C22×C4—61no—
525C22×C4—122no—
526C22×C4—122no—
527C22×C4—122no—
528C22×C4D3×D411yescharacteristic
529C22×C4D3×D411yescharacteristic
530C22×C4C23×D311yescharacteristic
531Q16—124no—
532Q16—124no—
533M16—124no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—61no—
540C2×C8—61no—
541C2×C8—61no—
542C2×C8—61no—
543C2×C8—61no—
544C2×C8—61no—
545C2×C8D3×D412yes—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—61no—
553C4⋊C4—61no—
554C4⋊C4—61no—
555C4⋊C4—61no—
556C4⋊C4—121no—
557C4⋊C4—122no—
558C4⋊C4—122no—
559C4⋊C4—122no—
560C4⋊C4—122no—
561C4⋊C4—122no—
562C22⋊C4—121no—
563C22⋊C4—121no—
564C22⋊C4—122no—
565C22⋊C4—122no—
566C22⋊C4—122no—
567C22⋊C4—122no—
568C22⋊C4—122no—
569C22⋊C4—122no—
570C22⋊C4—122no—
571C42—21no—
572C42—21no—
573C42—122no—
574C22×C3#53411yescharacteristic
575C22×C3D4211yescharacteristic
576C22×C3#54611yescharacteristic
577C22×C3C2×#13711yescharacteristic
578C22×C3#57511yescharacteristic
579C22×C3#57811yescharacteristic
580C22×C3#57811yescharacteristic
581C2×D3—22no—
582C2×D3—22no—
583C2×D3—22no—
584C2×D3—41no—
585C2×D3—41no—
586C2×D3—41no—
587C2×D3—41no—
588C2×D3—41no—
589C2×D3—41no—
590C2×D3—41no—
591C2×D3—41no—
592C2×D3—41no—
593C2×D3—41no—
594C2×D3—41no—
595C3×C4—42no—
596C3×C4—41no—
597C3×C4—41no—
598C3×C4—81no—
599C3×C4—81no—
600C3×C4—81no—
601C3×C4#53411yescharacteristic
602C3×C4#53811yescharacteristic
603C3×C4#54611yescharacteristic
604C3×C4#56011yescharacteristic
605Dic3—42no—
606Dic3—42no—
607Dic3—41no—
608Dic3—41no—
609Dic3—81no—
610Dic3—81no—
611C23—32no—
612C23—61no—
613C23—61no—
614C23—61no—
615C23—61no—
616C23—61no—
617C23—61no—
618C23—61no—
619C23—61no—
620C23—61no—
621C23—61no—
622C23—61no—
623C23—61no—
624C23—61no—
625C23C2×D3×D411yescharacteristic
626Q8—22no—
627Q8—22no—
628Q8—41no—
629Q8—41no—
630Q8—62no—
631Q8—62no—
632Q8—62no—
633Q8—62no—
634Q8—128no—
635Q8—121no—
636Q8—121no—
637Q8—121no—
638Q8—121no—
639D4—124no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—22no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—61no—
659C2×C4—61no—
660C2×C4—62no—
661C2×C4—62no—
662C2×C4—61no—
663C2×C4—61no—
664C2×C4—61no—
665C2×C4—61no—
666C2×C4—128no—
667C2×C4—121no—
668C2×C4—121no—
669C2×C4—121no—
670C2×C4—121no—
671C2×C4—121no—
672C2×C4—121no—
673C2×C4—121no—
674C2×C4—121no—
675C2×C4—121no—
676C2×C4—121no—
677C2×C4—121no—
678C2×C4—121no—
679C2×C4—121no—
680C2×C4—121no—
681C2×C4—121no—
682C2×C4—121no—
683C2×C4—121no—
684C2×C4—121no—
685C2×C4C2×D3×D411yescharacteristic
686C2×C4#100411yescharacteristic
687C2×C4C2×#23911yescharacteristic
688C2×C4#100911yescharacteristic
689C2×C4#100911yescharacteristic
690C2×C4#100911yescharacteristic
691C8—22no—
692C8—41no—
693C8—121no—
694C8—121no—
695C2×C3#266811yescharacteristic
696C2×C3#319611yescharacteristic
697C2×C3#320211yescharacteristic
698C2×C3#327011yescharacteristic
699C2×C3#327711yescharacteristic
700C2×C3#331211yescharacteristic
701C2×C3#332711yescharacteristic
702D3—42no—
703D3—81no—
704C22—62no—
705C22—62no—
706C22—62no—
707C22—121no—
708C22—121no—
709C22—121no—
710C22—121no—
711C22—121no—
712C22—121no—
713C22—121no—
714C22—121no—
715C22—121no—
716C22—121no—
717C22—121no—
718C22#563011yescharacteristic
719C22#565311yescharacteristic
720C22#571711yescharacteristic
721C22#576811yescharacteristic
722C22#577111yescharacteristic
723C22D3×#13711yescharacteristic
724C22#577911yescharacteristic
725C4—42no—
726C4—41no—
727C4—41no—
728C4—81no—
729C4—81no—
730C4—81no—
731C4—121no—
732C4—121no—
733C4—122no—
734C4—122no—
735C4—241no—
736C4—241no—
737C4#563011yescharacteristic
738C4#564411yescharacteristic
739C4#565311yescharacteristic
740C4#566611yescharacteristic
741C3#3042711yescharacteristic, complemented, Sylow
742C2—122no—
743C2—241no—
744C2#7811211yescharacteristic
745C2#8124811yescharacteristic
746C2#8125211yescharacteristic
747C2#8152311yescharacteristic
748C2#8155111yescharacteristic
749C2#8183311yescharacteristic
750C2#8188411yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2097C2
socleC23×C3C22×D4
prime radicalC22×D12D4
hypercenter#2097D3
hypocenterC3#30427
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2097

Complements

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

NH ≅ G/Ntype
1. C2×#4867C2semidirect
2. C2×#4809C2semidirect
5. C3×#2097C2semidirect
6. #70635C2semidirect
7. #70635C2semidirect
8. #70583C2semidirect
9. #70273C2semidirect
10. #70271C2semidirect
11. #70266C2semidirect
12. #69690C2semidirect
13. #69560C2semidirect
14. #68685C2semidirect
66. #2097D3semidirect
124. C2×Dic12D4semidirect
741. C3#30427semidirect

Maximal subgroups

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

subgroupindex
C2×#48672
C2×#48092
#766192
#742402
C3×#20972
#706352
#705832
#702732
#702712
#702662
#696902
#695602
#686852
#686692
#304273