Finite Group Databasebeta

← #13526445

Subgroups — #13526445

Order 1792.

2834 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C7×C4⋊C4C211yesmaximal, characteristic, complemented
2C2×#90206C211yesmaximal, characteristic, complemented
3#11741478C212yesmaximal, complemented
4#11741477C211yesmaximal, characteristic
5#11741476C211yesmaximal, characteristic, complemented
6C4×#6516C212yesmaximal, complemented
7#11739645C212yesmaximal, complemented
8#11739644C211yesmaximal, characteristic, complemented
9#11739640C214yesmaximal, complemented
10#11739628C211yesmaximal, characteristic, complemented
11#11739620C214yesmaximal, complemented
12#11739619C214yesmaximal, complemented
13#11739618C214yesmaximal, complemented
14#11739603C212yesmaximal, complemented
15#11739600C211yesmaximal, characteristic, complemented
16C24×C4×C7C2211yescharacteristic
17C24×C4×C7C2211yescharacteristic
18C24×C4×C7C2211yescharacteristic
19C22×C7×C4⋊C4—28no—
20C22×C7×C4⋊C4C2211yescharacteristic
21C22×C7×C4⋊C4C2214yes—
22C22×C7×C4⋊C4C2214yes—
23C22×C7×C4⋊C4C2211yescharacteristic
24C22×C7×C4⋊C4C2211yescharacteristic
25C22×C7×C4⋊C4C2211yescharacteristic
26C2×#6516C2212yes—
27C2×#6493C2211yescharacteristic
28C2×#6493C2212yes—
29C2×#6492C2212yes—
30C2×#6492C2212yes—
31C2×C4×C22⋊D7C2212yes—
32C2×C4×C22⋊D7C2214yes—
33C2×#6487C2211yescharacteristic
34C2×#6487C2212yes—
35#90206—28no—
36C2×#6461C2212yescomplemented
37C2×#6459C2212yescomplemented
38C2×#6457C2212yescomplemented
39C2×#6452C2212yescomplemented
40#90019C2212yes—
41#89985C2214yes—
42#89985C2212yes—
43#89985C2212yes—
44#89985C2214yes—
45#89985C2214yes—
46#89985C2214yes—
47#89984C2211yescharacteristic
48#89984C2212yes—
49#89984C2211yescharacteristic
50#89984C2212yes—
51#89983C2212yes—
52#89983C2212yes—
53#89982C2214yes—
54#89982C2212yes—
55#89982C2212yes—
56#89982C2214yes—
57#89982C2214yes—
58#89982C2214yes—
59C4×C22⋊Dic7C2212yes—
60C4×C22⋊Dic7C2214yes—
61#89766C2214yescomplemented
62#89765C2214yescomplemented
63#89764C2214yescomplemented
64#89763C2212yescomplemented
65#89762C2214yescomplemented
66#89761C2214yescomplemented
67#89758C2212yescomplemented
68#89756C2214yescomplemented
69#89755C2212yescomplemented
70#89754C2214yescomplemented
71#89753C2214yescomplemented
72#89753C2214yescomplemented
73#89752C2214yescomplemented
74#89751C2212yescomplemented
75#89750C2214yescomplemented
76#89744C2214yescomplemented
77#34989—71nomaximal, Sylow
78C25×C7C2311yescharacteristic
79C23×C4×C7—24no—
80C23×C4×C7—24no—
81C23×C4×C7—24no—
82C23×C4×C7—24no—
83C23×C4×C7—24no—
84C23×C4×C7—44no—
85C23×C4×C7—44no—
86C23×C4×C7C2314yes—
87C23×C4×C7C2312yes—
88C23×C4×C7C2314yes—
89C23×C4×C7C2312yes—
90C23×C4×C7C2311yescharacteristic
91C23×C4×C7C2311yescharacteristic
92C23×C4×C7C2311yescharacteristic
93C23×C4×C7C2311yescharacteristic
94C23×C4×C7C2311yescharacteristic
95C23×C4×C7C2311yescharacteristic
96C22×C22⋊D7C2312yes—
97C22×C22⋊D7C2314yes—
98C22×D28C2311yescharacteristic
99C22×C4×D7C2312yes—
100C22×Dic14C2311yescharacteristic
101C2×C7×C4⋊C4—24no—
102C2×C7×C4⋊C4—24no—
103C2×C7×C4⋊C4—24no—
104C2×C7×C4⋊C4—216no—
105C2×C7×C4⋊C4—216no—
106C2×C7×C4⋊C4D418yescomplemented
107C2×C7×C4⋊C4C2314yes—
108C2×C7×C4⋊C4C2312yes—
109C2×C7×C4⋊C4C2314yes—
110C2×C7×C4⋊C4C2312yes—
111C2×C7×C4⋊C4C2312yes—
112C2×C7×C4⋊C4C2312yes—
113#6516—28no—
114C2×C22⋊Dic7C2312yes—
115C2×C22⋊Dic7C2314yes—
116C2×C22⋊Dic7C2312yes—
117C2×C22⋊Dic7C2314yes—
118C2×C22⋊Dic7C2314yes—
119C2×C22⋊Dic7C2312yes—
120#6493—24no—
121#6493—44no—
122#6492—28no—
123#6492—28no—
124C4×C22⋊D7—28no—
125C4×C22⋊D7—48no—
126C2×(C2×D7)⋊C4C2312yes—
127C2×(C2×D7)⋊C4C2312yes—
128C2×(C2×D7)⋊C4C2312yes—
129C2×(C2×D7)⋊C4C2312yes—
130C2×(C2×D7)⋊C4C2314yes—
131C2×(C2×D7)⋊C4C2314yes—
132C2×(C2×D7)⋊C4C2314yes—
133C2×C4⋊Dic7C2311yescharacteristic
134C2×C4⋊Dic7C2311yescharacteristic
135C2×C4⋊Dic7C2312yes—
136C2×C4⋊Dic7C2312yes—
137#6487—24no—
138#6487—44no—
139C2×Dic7⋊C4C2312yes—
140C2×Dic7⋊C4C2312yes—
141C2×Dic7⋊C4C2312yes—
142C2×Dic7⋊C4C2312yes—
143C2×Dic7⋊C4C2314yes—
144C2×Dic7⋊C4C2314yes—
145C2×Dic7⋊C4C2314yes—
146C2×C4×Dic7C2312yes—
147C2×C4×Dic7C2314yes—
148#6461—28no—
149#6459—28no—
150#6457—28no—
151#6452—28no—
152C7⋊#95C2314yes—
153C7⋊#95C2314yes—
154C7⋊#95C2314yes—
155C7⋊#95C2314yes—
156C7⋊#95C2312yes—
157C7⋊#95C2314yes—
158C7⋊#95C2314yes—
159C7⋊#95C2314yes—
160C7⋊#95C2314yes—
161C7⋊#95C2314yes—
162C7⋊#95C2312yes—
163C2×#539—71no—
164C23×C4⋊C4D711yescharacteristic, complemented
165#2849—72no—
166#2848—71no—
167#2847—71no—
168#2627—71no—
169#2623—72no—
170#2618—71no—
171#2481—74no—
172#2473—74no—
173#2449—74no—
174#2443—74no—
175#2322—72no—
176#2313—71no—
177C4×#120—72no—
178C24×C7—22no—
179C24×C7—22no—
180C24×C7—24no—
181C24×C7—24no—
182C24×C7#4114yes—
183C24×C7C2411yescharacteristic
184C24×C7C2412yes—
185C23×D7C2412yes—
186C22×C4×C7—232no—
187C22×C4×C7—22no—
188C22×C4×C7—28no—
189C22×C4×C7—22no—
190C22×C4×C7—22no—
191C22×C4×C7—22no—
192C22×C4×C7—28no—
193C22×C4×C7—28no—
194C22×C4×C7—22no—
195C22×C4×C7—22no—
196C22×C4×C7—24no—
197C22×C4×C7—28no—
198C22×C4×C7—24no—
199C22×C4×C7—28no—
200C22×C4×C7—24no—
201C22×C4×C7—24no—
202C22×C4×C7—42no—
203C22×C4×C7—44no—
204C22×C4×C7—42no—
205C22×C4×C7—42no—
206C22×C4×C7—42no—
207C22×C4×C7—42no—
208C22×C4×C7—42no—
209C22×C4×C7—416no—
210C22×C4×C7—416no—
211C22×C4×C7C2×D414yes—
212C22×C4×C7C2×D414yes—
213C22×C4×C7C2×D414yes—
214C22×C4×C7#4114yes—
215C22×C4×C7C2412yes—
216C22×C4×C7C2412yes—
217C22×C4×C7C2412yes—
218C22×C4×C7C2412yes—
219C22×C4×C7C2411yescharacteristic
220C22×C4×C7C2411yescharacteristic
221C22×C4×C7C2412yes—
222C2×C22⋊D7—24no—
223C2×C22⋊D7—24no—
224C2×C22⋊D7—24no—
225C2×C22⋊D7—28no—
226C2×C22⋊D7—28no—
227C2×C22⋊D7—28no—
228C22×Dic7C2414yes—
229C22×Dic7C2412yes—
230C22×Dic7C2414yes—
231C22×Dic7C2412yes—
232C22×Dic7C2412yes—
233C2×D28—22no—
234C2×D28—42no—
235C2×C4×D7—24no—
236C2×C4×D7—44no—
237C2×Dic14—22no—
238C2×Dic14—42no—
239C7×C4⋊C4—28no—
240C7×C4⋊C4—24no—
241C7×C4⋊C4—24no—
242C7×C4⋊C4—28no—
243C7×C4⋊C4C2×D418yes—
244C7×C4⋊C4C2×D418yes—
245C22⋊Dic7—24no—
246C22⋊Dic7—24no—
247C22⋊Dic7—24no—
248C22⋊Dic7—28no—
249C22⋊Dic7—28no—
250C22⋊Dic7—28no—
251(C2×D7)⋊C4—24no—
252(C2×D7)⋊C4—24no—
253(C2×D7)⋊C4—24no—
254(C2×D7)⋊C4—24no—
255(C2×D7)⋊C4—28no—
256(C2×D7)⋊C4—44no—
257(C2×D7)⋊C4—44no—
258C4⋊Dic7—22no—
259C4⋊Dic7—22no—
260C4⋊Dic7—42no—
261C4⋊Dic7—42no—
262Dic7⋊C4—24no—
263Dic7⋊C4—24no—
264Dic7⋊C4—24no—
265Dic7⋊C4—24no—
266Dic7⋊C4—28no—
267Dic7⋊C4—44no—
268Dic7⋊C4—44no—
269C4×Dic7—24no—
270C4×Dic7—44no—
271C24×C4C2×D711yescharacteristic
272C24×C4C2×D711yescharacteristic
273C24×C4C2×D711yescharacteristic
274#539—148no—
275C2×#126—72no—
276C2×#125—72no—
277C2×#123—72no—
278C2×#123—72no—
279C2×#123—72no—
280C2×C22⋊Q8—71no—
281C2×C22⋊Q8—72no—
282C2×C22⋊Q8—72no—
283C2×#121—71no—
284C2×#121—72no—
285C2×#120—72no—
286C2×C4×D4—72no—
287C2×C4×D4—74no—
288C22×C4⋊C4—28no—
289C22×C4⋊C4C2×D711yescharacteristic
290C22×C4⋊C4C2×D711yescharacteristic
291C22×C4⋊C4C2×D711yescharacteristic
292C22×C4⋊C4C2×D714yes—
293C22×C4⋊C4C2×D714yes—
294C22×C4⋊C4C2×D711yescharacteristic
295#400—74no—
296#400—72no—
297#399—74no—
298#398—72no—
299#398—74no—
300#398—74no—
301#397—74no—
302#396—74no—
303#395—72no—
304#394—72no—
305#389—74no—
306#388—74no—
307#387—74no—
308#387—74no—
309#387—74no—
310#386—72no—
311#386—74no—
312#386—74no—
313#386—74no—
314#386—72no—
315#386—74no—
316#385—72no—
317#385—74no—
318#385—74no—
319#385—74no—
320#385—72no—
321#385—74no—
322#385—74no—
323#381—72no—
324#381—72no—
325#380—71no—
326#380—71no—
327#380—72no—
328#380—72no—
329#379—72no—
330C4×C22⋊C4—72no—
331C4×C22⋊C4—74no—
332C23×C7—28no—
333C23×C7—28no—
334C23×C7—216no—
335C23×C7—28no—
336C23×C7—216no—
337C23×C7—22no—
338C23×C7—22no—
339C23×C7—22no—
340C23×C7—22no—
341C23×C7—22no—
342C23×C7—22no—
343C23×C7C22×D412yes—
344C23×C7C2×#4112yes—
345C23×C7C2×#4112yes—
346C23×C7C2×#4114yes—
347C23×C7H(5,𝔽2)14yes—
348C23×C72−1+414yes—
349C23×C7C2511yescharacteristic
350C22×D7—22no—
351C22×D7—22no—
352C22×D7—22no—
353C22×D7—24no—
354C22×D7—24no—
355C2×C4×C7—232no—
356C2×C4×C7—28no—
357C2×C4×C7—28no—
358C2×C4×C7—22no—
359C2×C4×C7—22no—
360C2×C4×C7—22no—
361C2×C4×C7—22no—
362C2×C4×C7—24no—
363C2×C4×C7—22no—
364C2×C4×C7—22no—
365C2×C4×C7—22no—
366C2×C4×C7—22no—
367C2×C4×C7—22no—
368C2×C4×C7—24no—
369C2×C4×C7—22no—
370C2×C4×C7—44no—
371C2×C4×C7—44no—
372C2×C4×C7—48no—
373C2×C4×C7—416no—
374C2×C4×C7—48no—
375C2×C4×C7—44no—
376C2×C4×C7—44no—
377C2×C4×C7C22×D414yes—
378C2×C4×C7C22×D412yes—
379C2×C4×C7C22×D414yes—
380C2×C4×C7C22×D412yes—
381C2×C4×C7C2×#4114yes—
382C22⋊D7—48no—
383C22⋊D7—416no—
384C2×Dic7—22no—
385C2×Dic7—22no—
386C2×Dic7—22no—
387C2×Dic7—22no—
388C2×Dic7—24no—
389C2×Dic7—22no—
390C2×Dic7—24no—
391C2×Dic7—24no—
392C2×Dic7—24no—
393C2×Dic7—24no—
394C2×Dic7—24no—
395C2×Dic7—24no—
396C2×Dic7—24no—
397D28—82no—
398C4×D7—84no—
399Dic14—82no—
400C25C22×D711yescharacteristic
401C22×Q8—71no—
402C22×D4—72no—
403C22×D4—74no—
404C22×D4—71no—
405C23×C4—24no—
406C23×C4—24no—
407C23×C4—24no—
408C23×C4—24no—
409C23×C4—24no—
410C23×C4—44no—
411C23×C4—44no—
412C23×C4—72no—
413C23×C4C22×D714yes—
414C23×C4C22×D714yes—
415C23×C4C22×D712yes—
416C23×C4C22×D712yes—
417C23×C4C22×D711yescharacteristic
418C23×C4C22×D711yescharacteristic
419C23×C4C22×D711yescharacteristic
420C23×C4C22×D711yescharacteristic
421C23×C4C22×D711yescharacteristic
422C23×C4C22×D711yescharacteristic
423#126—148no—
424#125—148no—
425#123—148no—
426#123—148no—
427#123—148no—
428C22⋊Q8—144no—
429C22⋊Q8—148no—
430C22⋊Q8—284no—
431#121—144no—
432#121—284no—
433#120—148no—
434C4×D4—148no—
435C4×D4—288no—
436C2×C4⋊C4—24no—
437C2×C4⋊C4—24no—
438C2×C4⋊C4—24no—
439C2×C4⋊C4—216no—
440C2×C4⋊C4—216no—
441C2×C4⋊C4—72no—
442C2×C4⋊C4—71no—
443C2×C4⋊C4—72no—
444C2×C4⋊C4—72no—
445C2×C4⋊C4—71no—
446C2×C4⋊C4—72no—
447C2×C4⋊C4—74no—
448C2×C4⋊C4—74no—
449C2×C4⋊C4—72no—
450C2×C4⋊C4—74no—
451C2×C4⋊C4—72no—
452C2×C4⋊C4C22⋊D718yescomplemented
453C2×C4⋊C4C22×D714yes—
454C2×C4⋊C4C22×D712yes—
455C2×C4⋊C4C22×D712yes—
456C2×C4⋊C4C22×D714yes—
457C2×C4⋊C4C22×D712yes—
458C2×C4⋊C4C22×D712yes—
459C2×C22⋊C4—72no—
460C2×C22⋊C4—74no—
461C2×C22⋊C4—72no—
462C2×C22⋊C4—74no—
463C2×C22⋊C4—72no—
464C2×C22⋊C4—74no—
465C2×C22⋊C4—72no—
466C2×C22⋊C4—72no—
467C2×C22⋊C4—72no—
468C2×C22⋊C4—72no—
469C2×C22⋊C4—74no—
470C2×C22⋊C4—74no—
471C2×C22⋊C4—74no—
472C2×C42—72no—
473C2×C42—74no—
474#95—74no—
475#95—74no—
476#95—74no—
477#95—72no—
478#95—74no—
479#95—72no—
480#95—74no—
481#95—74no—
482#95—74no—
483#95—74no—
484#95—74no—
485C22×C7—232no—
486C22×C7—24no—
487C22×C7—24no—
488C22×C7—24no—
489C22×C7—22no—
490C22×C7—24no—
491C22×C7—22no—
492C22×C7—24no—
493C22×C7—24no—
494C22×C7—24no—
495C22×C7—24no—
496C22×C7#52514yes—
497C22×C7#53918yescomplemented
498C22×C7C23×D411yescharacteristic
499C22×C7C22×#4111yescharacteristic
500C22×C7C22×#4111yescharacteristic
501C22×C7C2×H(5,𝔽2)12yes—
502C22×C7C2×2−1+412yes—
503C2×D7—42no—
504C2×D7—44no—
505C2×D7—42no—
506C2×D7—42no—
507C2×D7—44no—
508C4×C7—24no—
509C4×C7—24no—
510C4×C7—22no—
511C4×C7—24no—
512C4×C7—22no—
513C4×C7—42no—
514C4×C7—42no—
515Dic7—42no—
516Dic7—44no—
517Dic7—42no—
518Dic7—42no—
519Dic7—44no—
520C24—22no—
521C24—24no—
522C24—24no—
523C24—22no—
524C24—72no—
525C24#115714yes—
526C24C23×D711yescharacteristic
527C24C23×D712yes—
528C2×Q8—142no—
529C2×Q8—282no—
530C2×D4—148no—
531C2×D4—144no—
532C2×D4—144no—
533C2×D4—148no—
534C2×D4—148no—
535C2×D4—144no—
536C2×D4—142no—
537C2×D4—282no—
538C22×C4—232no—
539C22×C4—28no—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—28no—
545C22×C4—28no—
546C22×C4—28no—
547C22×C4—24no—
548C22×C4—24no—
549C22×C4—22no—
550C22×C4—22no—
551C22×C4—28no—
552C22×C4—24no—
553C22×C4—24no—
554C22×C4—42no—
555C22×C4—44no—
556C22×C4—42no—
557C22×C4—42no—
558C22×C4—42no—
559C22×C4—42no—
560C22×C4—42no—
561C22×C4—416no—
562C22×C4—416no—
563C22×C4—74no—
564C22×C4—74no—
565C22×C4—72no—
566C22×C4—72no—
567C22×C4—72no—
568C22×C4—144no—
569C22×C4—284no—
570C22×C4#115714yes—
571C22×C4C2×C22⋊D714yes—
572C22×C4C2×C22⋊D714yes—
573C22×C4C2×C22⋊D714yes—
574C22×C4C23×D712yes—
575C22×C4C23×D712yes—
576C22×C4C23×D712yes—
577C22×C4C23×D712yes—
578C22×C4C23×D712yes—
579C22×C4C23×D711yescharacteristic
580C22×C4C23×D711yescharacteristic
581C4⋊C4—28no—
582C4⋊C4—24no—
583C4⋊C4—24no—
584C4⋊C4—28no—
585C4⋊C4—148no—
586C4⋊C4—144no—
587C4⋊C4—144no—
588C4⋊C4—144no—
589C4⋊C4—144no—
590C4⋊C4—142no—
591C4⋊C4—142no—
592C4⋊C4—284no—
593C4⋊C4—284no—
594C4⋊C4—282no—
595C4⋊C4—282no—
596C4⋊C4C2×C22⋊D718yes—
597C4⋊C4C2×C22⋊D718yes—
598C22⋊C4—148no—
599C22⋊C4—144no—
600C22⋊C4—144no—
601C22⋊C4—148no—
602C22⋊C4—148no—
603C22⋊C4—144no—
604C22⋊C4—148no—
605C22⋊C4—144no—
606C22⋊C4—144no—
607C22⋊C4—144no—
608C22⋊C4—144no—
609C22⋊C4—284no—
610C22⋊C4—284no—
611C42—144no—
612C42—284no—
613C2×C7—24no—
614C2×C7—28no—
615C2×C7C2×#52511yescharacteristic
616C2×C7C2×#53912yes—
617C2×C7#348411yescharacteristic
618C2×C7#348611yescharacteristic
619C2×C7#349212yes—
620D7—82no—
621C23—28no—
622C23—28no—
623C23—216no—
624C23—216no—
625C23—28no—
626C23—22no—
627C23—22no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—22no—
632C23—142no—
633C23—142no—
634C23—144no—
635C23—144no—
636C23—142no—
637C23C2×#115714yes—
638C23C2×#115712yes—
639C23C2×#115712yes—
640C23#654814yes—
641C23#655114yes—
642C23C22×C22⋊D712yes—
643C23C24×D711yescharacteristic
644Q8—562no—
645D4—2816no—
646D4—288no—
647D4—562no—
648C2×C4—232no—
649C2×C4—28no—
650C2×C4—28no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—24no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—44no—
664C2×C4—44no—
665C2×C4—416no—
666C2×C4—48no—
667C2×C4—48no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—144no—
671C2×C4—142no—
672C2×C4—144no—
673C2×C4—142no—
674C2×C4—144no—
675C2×C4—144no—
676C2×C4—144no—
677C2×C4—144no—
678C2×C4—144no—
679C2×C4—144no—
680C2×C4—142no—
681C2×C4—142no—
682C2×C4—142no—
683C2×C4—564no—
684C2×C4C2×#115714yes—
685C2×C4C22×C22⋊D714yes—
686C2×C4C22×C22⋊D714yes—
687C2×C4C22×C22⋊D712yes—
688C2×C4C22×C22⋊D712yes—
689C7#3498911yescharacteristic, complemented, Sylow
690C22—232no—
691C22—24no—
692C22—24no—
693C22—22no—
694C22—24no—
695C22—24no—
696C22—24no—
697C22—22no—
698C22—24no—
699C22—24no—
700C22—24no—
701C22—282no—
702C22—282no—
703C22—284no—
704C22—282no—
705C22—284no—
706C22#9020618yescomplemented
707C22#9048214yes—
708C22C22×#115711yescharacteristic
709C22C22×#115711yescharacteristic
710C22C2×#654812yes—
711C22C2×#655112yes—
712C22C23×C22⋊D711yescharacteristic
713C4—24no—
714C4—24no—
715C4—24no—
716C4—22no—
717C4—22no—
718C4—42no—
719C4—42no—
720C4—282no—
721C4—282no—
722C4—284no—
723C4—282no—
724C4—284no—
725C2—28no—
726C2—24no—
727C2—562no—
728C2C2×#9020612yes—
729C2#1174278612yes—
730C2C2×#9048211yescharacteristic
731C2#1174430711yescharacteristic
732C2#1174431911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC23×C7×C4⋊C4C2
prime radical#11741477C2
hypercenterC23×C4⋊C4D7
hypocenterC7#34989
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ C23×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C23×C7×C4⋊C4C2semidirect
2. C2×#90206C2semidirect
3. #11741478C2semidirect
5. #11741476C2semidirect
6. C4×#6516C2semidirect
7. #11739645C2semidirect
8. #11739644C2semidirect
9. #11739640C2semidirect
10. #11739628C2semidirect
11. #11739620C2semidirect
12. #11739619C2semidirect
13. #11739618C2semidirect
14. #11739603C2semidirect
15. #11739600C2semidirect
36. C2×#6461C22semidirect
37. C2×#6459C22semidirect
38. C2×#6457C22semidirect
39. C2×#6452C22semidirect
61. #89766C22semidirect
62. #89765C22semidirect
63. #89764C22semidirect
64. #89763C22semidirect
65. #89762C22semidirect
66. #89761C22semidirect
67. #89758C22semidirect
68. #89756C22semidirect
69. #89755C22semidirect
70. #89754C22semidirect
71. #89753C22semidirect
72. #89753C22semidirect
73. #89752C22semidirect
74. #89751C22semidirect
75. #89750C22semidirect
76. #89744C22semidirect
106. C2×C7×C4⋊C4D4semidirect
164. C23×C4⋊C4D7semidirect
452. C2×C4⋊C4C22⋊D7semidirect
497. C22×C7#539semidirect
689. C7#34989semidirect
706. C22#90206semidirect

Maximal subgroups

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

subgroupindex
C23×C7×C4⋊C42
C2×#902062
#117414782
#117414772
#117414762
C4×#65162
#117396452
#117396442
#117396402
#117396282
#117396202
#117396192
#117396182
#117396032
#117396002
#349897