Finite Group Databasebeta

← #13526449

Subgroups — #13526449

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×Dic7⋊C4C211yesmaximal, characteristic, complemented
2C2×#90336C211yesmaximal, characteristic, complemented
3C7×#2848C211yesmaximal, characteristic, complemented
4#11741477C211yesmaximal, characteristic
5#11740233C211yesmaximal, characteristic, complemented
6#11740209C214yesmaximal, complemented
7#11732065C212yesmaximal, complemented
8#11731888C214yesmaximal, complemented
9#11731863C214yesmaximal, complemented
10#11731829C212yesmaximal, complemented
11#11731477C211yesmaximal, characteristic, complemented
12#11731355C214yesmaximal, complemented
13#11731312C211yesmaximal, characteristic, complemented
14#11731292C212yesmaximal, complemented
15#11731263C212yesmaximal, complemented
16C24×C4×C7C2211yescharacteristic
17C24×Dic7C2211yescharacteristic
18C24×Dic7C2211yescharacteristic
19C2×C7×C22⋊Q8C2211yescharacteristic
20C2×C7×C22⋊Q8C2212yes—
21C2×#6516C2212yes—
22C2×#6509C2212yescomplemented
23C2×#6493C2211yescharacteristic
24C2×#6493C2212yes—
25C22×Dic7⋊C4—28no—
26C22×Dic7⋊C4C2211yescharacteristic
27C22×Dic7⋊C4C2214yes—
28C22×Dic7⋊C4C2211yescharacteristic
29C22×Dic7⋊C4C2211yescharacteristic
30C22×Dic7⋊C4C2214yes—
31C22×Dic7⋊C4C2211yescharacteristic
32#90336—28no—
33C2×#6461C2212yescomplemented
34C2×#6457C2212yescomplemented
35C2×#6453C2212yescomplemented
36C2×#6449C2212yes—
37C2×#6449C2212yes—
38C2×(C22⋊D7)⋊C4C2212yes—
39C2×(C22⋊D7)⋊C4C2214yes—
40C7×#385C2212yes—
41C7×#385C2214yes—
42C7×#380C2211yescharacteristic
43C7×#380C2212yes—
44C7×#379C2212yes—
45#90001C2212yescomplemented
46#89985C2214yes—
47#89985C2212yes—
48#89984C2211yescharacteristic
49#89984C2212yes—
50#89766C2214yescomplemented
51#89764C2214yescomplemented
52#89761C2214yescomplemented
53#89756C2214yescomplemented
54#89756C2214yescomplemented
55#89754C2212yescomplemented
56#89750C2214yescomplemented
57#89745C2214yescomplemented
58#89730C2212yes—
59#89730C2214yes—
60#89730C2214yes—
61#89730C2214yes—
62#89722C2214yes—
63#89722C2214yes—
64#89718C2214yes—
65#89718C2212yes—
66#89715C2212yes—
67#89715C2212yes—
68C22⋊C4×Dic7C2212yes—
69C22⋊C4×Dic7C2214yes—
70#89447C2214yescomplemented
71#89444C2212yescomplemented
72#89441C2214yescomplemented
73#89433C2212yescomplemented
74#89432C2214yescomplemented
75#89427C2214yescomplemented
76#89426C2214yescomplemented
77#34989—71nomaximal, Sylow
78C25×C7C2311yescharacteristic
79C22×C7×Q8C2311yescharacteristic
80C23×C4×C7—24no—
81C23×C4×C7—44no—
82C23×C4×C7C2312yes—
83C23×C4×C7C2312yes—
84C23×C4×C7C2311yescharacteristic
85C23×C4×C7C2311yescharacteristic
86C22×C22⋊D7C2312yes—
87C22×C22⋊D7C2314yes—
88C23×Dic7—24no—
89C23×Dic7—24no—
90C23×Dic7—24no—
91C23×Dic7—24no—
92C23×Dic7—44no—
93C23×Dic7C2314yes—
94C23×Dic7C2314yes—
95C23×Dic7C2311yescharacteristic
96C23×Dic7C2311yescharacteristic
97C23×Dic7C2311yescharacteristic
98C23×Dic7C2311yescharacteristic
99C22×D28C2311yescharacteristic
100C22×C4×D7C2312yes—
101C7×C22⋊Q8—24no—
102C7×C22⋊Q8—44no—
103C2×C7×C4⋊C4C2312yes—
104C2×C7×C4⋊C4C2311yescharacteristic
105C2×C7×C4⋊C4C2314yes—
106C2×C7×C4⋊C4C2312yes—
107C2×C7×C22⋊C4C2312yes—
108C2×C7×C22⋊C4C2314yes—
109C2×C7×C22⋊C4C2312yes—
110C2×C7×C22⋊C4C2314yes—
111#6516—28no—
112C2×C22⋊Dic7C2312yes—
113C2×C22⋊Dic7C2314yes—
114#6509—28no—
115#6493—24no—
116#6493—44no—
117C2×(C2×D7)⋊C4C2312yes—
118C2×(C2×D7)⋊C4C2312yes—
119C2×(C2×D7)⋊C4C2312yes—
120C2×(C2×D7)⋊C4C2314yes—
121C2×(C2×D7)⋊C4C2312yes—
122C2×(C2×D7)⋊C4C2314yes—
123C2×(C2×D7)⋊C4C2314yes—
124C2×C4⋊Dic7C2312yes—
125C2×C4⋊Dic7C2312yes—
126C2×C4⋊Dic7C2314yes—
127C2×C4⋊Dic7C2311yescharacteristic
128C2×C4⋊Dic7C2312yes—
129C2×Dic7⋊C4—24no—
130C2×Dic7⋊C4—24no—
131C2×Dic7⋊C4—24no—
132C2×Dic7⋊C4—216no—
133C2×Dic7⋊C4—216no—
134C2×Dic7⋊C4D418yescomplemented
135C2×Dic7⋊C4C2312yes—
136C2×Dic7⋊C4C2314yes—
137C2×Dic7⋊C4C2314yes—
138C2×Dic7⋊C4C2312yes—
139C2×Dic7⋊C4C2312yes—
140C2×Dic7⋊C4C2314yes—
141C2×Dic7⋊C4C2312yes—
142C2×Dic7⋊C4C2312yes—
143C2×C4×Dic7C2312yes—
144C2×C4×Dic7C2314yes—
145#6461—28no—
146#6457—28no—
147#6453—28no—
148#6449—28no—
149#6449—28no—
150(C22⋊D7)⋊C4—28no—
151(C22⋊D7)⋊C4—48no—
152C7×#95C2314yes—
153C7×#95C2312yes—
154C7⋊#95C2314yes—
155C7⋊#95C2314yes—
156C7⋊#95C2314yes—
157C7⋊#95C2314yes—
158C7⋊#95C2314yes—
159C7⋊#95C2314yes—
160C7⋊#95C2314yes—
161C7⋊#95C2314yes—
162C7⋊#95C2312yes—
163C2×#539—71no—
164C23×C4⋊C4—71no—
165#2849—72no—
166#2848D711yescharacteristic, complemented
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—
186C2×C7×Q8—22no—
187C2×C7×Q8—42no—
188C22×C4×C7—22no—
189C22×C4×C7—24no—
190C22×C4×C7—24no—
191C22×C4×C7—24no—
192C22×C4×C7—24no—
193C22×C4×C7—42no—
194C22×C4×C7—42no—
195C22×C4×C7—42no—
196C22×C4×C7—42no—
197C22×C4×C7—416no—
198C22×C4×C7C2×D414yes—
199C22×C4×C7C2412yes—
200C22×C4×C7C2414yes—
201C22×C4×C7C2412yes—
202C22×C4×C7C2412yes—
203C22×C4×C7C2411yescharacteristic
204C22×C4×C7C2411yescharacteristic
205C2×C22⋊D7—24no—
206C2×C22⋊D7—24no—
207C2×C22⋊D7—24no—
208C2×C22⋊D7—28no—
209C2×C22⋊D7—28no—
210C2×C22⋊D7—28no—
211C22×Dic7—232no—
212C22×Dic7—22no—
213C22×Dic7—28no—
214C22×Dic7—22no—
215C22×Dic7—22no—
216C22×Dic7—22no—
217C22×Dic7—28no—
218C22×Dic7—28no—
219C22×Dic7—22no—
220C22×Dic7—28no—
221C22×Dic7—28no—
222C22×Dic7—42no—
223C22×Dic7—44no—
224C22×Dic7—42no—
225C22×Dic7—416no—
226C22×Dic7C2×D414yes—
227C22×Dic7C2×D414yes—
228C22×Dic7#4114yes—
229C22×Dic7C2414yes—
230C22×Dic7C2412yes—
231C22×Dic7C2412yes—
232C22×Dic7C2412yes—
233C22×Dic7C2412yes—
234C22×Dic7C2412yes—
235C2×D28—22no—
236C2×D28—42no—
237C2×C4×D7—24no—
238C2×C4×D7—44no—
239C7×C4⋊C4—24no—
240C7×C4⋊C4—22no—
241C7×C4⋊C4—42no—
242C7×C4⋊C4—44no—
243C7×C22⋊C4—24no—
244C7×C22⋊C4—24no—
245C7×C22⋊C4—28no—
246C7×C22⋊C4—28no—
247C22⋊Dic7—24no—
248C22⋊Dic7—28no—
249(C2×D7)⋊C4—24no—
250(C2×D7)⋊C4—24no—
251(C2×D7)⋊C4—24no—
252(C2×D7)⋊C4—24no—
253(C2×D7)⋊C4—28no—
254(C2×D7)⋊C4—44no—
255(C2×D7)⋊C4—44no—
256C4⋊Dic7—22no—
257C4⋊Dic7—24no—
258C4⋊Dic7—24no—
259C4⋊Dic7—28no—
260C4⋊Dic7—42no—
261Dic7⋊C4—24no—
262Dic7⋊C4—24no—
263Dic7⋊C4—24no—
264Dic7⋊C4—28no—
265Dic7⋊C4—28no—
266Dic7⋊C4—44no—
267Dic7⋊C4C2×D418yes—
268Dic7⋊C4C2×D418yes—
269C4×Dic7—24no—
270C4×Dic7—44no—
271C24×C4—71no—
272C24×C4—71no—
273C24×C4C2×D711yescharacteristic
274#539—148no—
275C2×#126—72no—
276C2×#125—72no—
277C2×#123—72no—
278C2×#123—72no—
279C2×#123—72no—
280C2×C22⋊Q8—72no—
281C2×C22⋊Q8C2×D711yescharacteristic
282C2×C22⋊Q8C2×D712yes—
283C2×#121—71no—
284C2×#121—72no—
285C2×#120—72no—
286C2×C4×D4—72no—
287C2×C4×D4—74no—
288C22×C4⋊C4—71no—
289C22×C4⋊C4—71no—
290C22×C4⋊C4—71no—
291C22×C4⋊C4—71no—
292C22×C4⋊C4—74no—
293C22×C4⋊C4—74no—
294C22×C4⋊C4—148no—
295#400—72no—
296#400—74no—
297#399—74no—
298#398—74no—
299#398—74no—
300#398—72no—
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—74no—
317#385—74no—
318#385—74no—
319#385—72no—
320#385—74no—
321#385C2×D712yes—
322#385C2×D714yes—
323#381—72no—
324#381—72no—
325#380—71no—
326#380—72no—
327#380C2×D711yescharacteristic
328#380C2×D712yes—
329#379C2×D712yes—
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×#4114yes—
346C23×C7C2×#4112yes—
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—
355C7×Q8—82no—
356C2×C4×C7—22no—
357C2×C4×C7—22no—
358C2×C4×C7—22no—
359C2×C4×C7—22no—
360C2×C4×C7—22no—
361C2×C4×C7—24no—
362C2×C4×C7—24no—
363C2×C4×C7—24no—
364C2×C4×C7—22no—
365C2×C4×C7—22no—
366C2×C4×C7—24no—
367C2×C4×C7—24no—
368C2×C4×C7—44no—
369C2×C4×C7—48no—
370C2×C4×C7—48no—
371C2×C4×C7—44no—
372C2×C4×C7C22×D412yes—
373C2×C4×C7C22×D412yes—
374C22⋊D7—48no—
375C22⋊D7—416no—
376C2×Dic7—232no—
377C2×Dic7—28no—
378C2×Dic7—28no—
379C2×Dic7—22no—
380C2×Dic7—22no—
381C2×Dic7—22no—
382C2×Dic7—22no—
383C2×Dic7—24no—
384C2×Dic7—22no—
385C2×Dic7—22no—
386C2×Dic7—22no—
387C2×Dic7—22no—
388C2×Dic7—24no—
389C2×Dic7—24no—
390C2×Dic7—24no—
391C2×Dic7—24no—
392C2×Dic7—44no—
393C2×Dic7—416no—
394C2×Dic7—44no—
395C2×Dic7C22×D414yes—
396C2×Dic7C22×D414yes—
397C2×Dic7C2×#4114yes—
398D28—82no—
399C4×D7—84no—
400C25C22×D711yescharacteristic
401C22×Q8C22×D711yescharacteristic
402C22×D4—72no—
403C22×D4—74no—
404C22×D4—71no—
405C23×C4—24no—
406C23×C4—44no—
407C23×C4—71no—
408C23×C4—71no—
409C23×C4—71no—
410C23×C4—74no—
411C23×C4—74no—
412C23×C4—71no—
413C23×C4—72no—
414C23×C4—144no—
415C23×C4—144no—
416C23×C4—144no—
417C23×C4—144no—
418C23×C4—284no—
419C23×C4C22×D712yes—
420C23×C4C22×D712yes—
421C23×C4C22×D711yescharacteristic
422C23×C4C22×D711yescharacteristic
423#126—148no—
424#125—148no—
425#123—148no—
426#123—148no—
427#123—148no—
428C22⋊Q8—24no—
429C22⋊Q8—44no—
430C22⋊Q8—148no—
431#121—144no—
432#121—284no—
433#120—148no—
434C4×D4—148no—
435C4×D4—288no—
436C2×C4⋊C4—78no—
437C2×C4⋊C4—72no—
438C2×C4⋊C4—72no—
439C2×C4⋊C4—74no—
440C2×C4⋊C4—72no—
441C2×C4⋊C4—72no—
442C2×C4⋊C4—74no—
443C2×C4⋊C4—72no—
444C2×C4⋊C4—71no—
445C2×C4⋊C4—72no—
446C2×C4⋊C4—72no—
447C2×C4⋊C4—74no—
448C2×C4⋊C4—74no—
449C2×C4⋊C4—72no—
450C2×C4⋊C4—1416no—
451C2×C4⋊C4—1416no—
452C2×C4⋊C4—144no—
453C2×C4⋊C4—144no—
454C2×C4⋊C4—144no—
455C2×C4⋊C4C22×D712yes—
456C2×C4⋊C4C22×D711yescharacteristic
457C2×C4⋊C4C22×D712yes—
458C2×C4⋊C4C22×D714yes—
459C2×C22⋊C4—72no—
460C2×C22⋊C4—74no—
461C2×C22⋊C4—72no—
462C2×C22⋊C4—72no—
463C2×C22⋊C4—72no—
464C2×C22⋊C4—72no—
465C2×C22⋊C4—74no—
466C2×C22⋊C4—74no—
467C2×C22⋊C4—74no—
468C2×C22⋊C4C22×D712yes—
469C2×C22⋊C4C22×D714yes—
470C2×C22⋊C4C22×D712yes—
471C2×C22⋊C4C22×D714yes—
472C2×C42—72no—
473C2×C42—74no—
474#95—74no—
475#95—74no—
476#95—74no—
477#95—72no—
478#95—74no—
479#95—74no—
480#95—74no—
481#95—74no—
482#95—74no—
483#95C22×D712yes—
484#95C22×D714yes—
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—22no—
509C4×C7—22no—
510C4×C7—42no—
511C4×C7—42no—
512C4×C7—42no—
513C4×C7—44no—
514Dic7—24no—
515Dic7—24no—
516Dic7—24no—
517Dic7—42no—
518Dic7—44no—
519Dic7—42no—
520C24—22no—
521C24—24no—
522C24—22no—
523C24—24no—
524C24—72no—
525C24#116114yes—
526C24C23×D711yescharacteristic
527C24C23×D712yes—
528C2×Q8—22no—
529C2×Q8—42no—
530C2×D4—144no—
531C2×D4—148no—
532C2×D4—144no—
533C2×D4—148no—
534C2×D4—144no—
535C2×D4—148no—
536C2×D4—142no—
537C2×D4—282no—
538C22×C4—22no—
539C22×C4—24no—
540C22×C4—24no—
541C22×C4—24no—
542C22×C4—24no—
543C22×C4—42no—
544C22×C4—42no—
545C22×C4—42no—
546C22×C4—42no—
547C22×C4—416no—
548C22×C4—74no—
549C22×C4—74no—
550C22×C4—72no—
551C22×C4—72no—
552C22×C4—72no—
553C22×C4—74no—
554C22×C4—74no—
555C22×C4—72no—
556C22×C4—72no—
557C22×C4—144no—
558C22×C4—148no—
559C22×C4—148no—
560C22×C4—148no—
561C22×C4—1432no—
562C22×C4—142no—
563C22×C4—148no—
564C22×C4—142no—
565C22×C4—142no—
566C22×C4—142no—
567C22×C4—142no—
568C22×C4—148no—
569C22×C4—284no—
570C22×C4—282no—
571C22×C4—284no—
572C22×C4—282no—
573C22×C4—2816no—
574C22×C4D4×D714yes—
575C22×C4C23×D712yes—
576C22×C4C23×D714yes—
577C22×C4C23×D712yes—
578C22×C4C23×D712yes—
579C22×C4C23×D711yescharacteristic
580C22×C4C23×D711yescharacteristic
581C4⋊C4—24no—
582C4⋊C4—22no—
583C4⋊C4—42no—
584C4⋊C4—44no—
585C4⋊C4—78no—
586C4⋊C4—78no—
587C4⋊C4—148no—
588C4⋊C4—148no—
589C4⋊C4—144no—
590C4⋊C4—144no—
591C4⋊C4—148no—
592C4⋊C4—144no—
593C4⋊C4—144no—
594C4⋊C4—144no—
595C4⋊C4—142no—
596C4⋊C4—284no—
597C4⋊C4—282no—
598C22⋊C4—24no—
599C22⋊C4—28no—
600C22⋊C4—24no—
601C22⋊C4—28no—
602C22⋊C4—144no—
603C22⋊C4—144no—
604C22⋊C4—148no—
605C22⋊C4—144no—
606C22⋊C4—144no—
607C22⋊C4—148no—
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—28no—
625C23—216no—
626C23—22no—
627C23—22no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—22no—
632C23—142no—
633C23—144no—
634C23—142no—
635C23—142no—
636C23—144no—
637C23C2×D4×D712yes—
638C23#654814yes—
639C23C2×#116112yes—
640C23C2×#116114yes—
641C23D7×#4112yes—
642C23#655414yes—
643C23C24×D711yescharacteristic
644Q8—82no—
645D4—288no—
646D4—2816no—
647D4—562no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—44no—
661C2×C4—48no—
662C2×C4—48no—
663C2×C4—44no—
664C2×C4—74no—
665C2×C4—74no—
666C2×C4—74no—
667C2×C4—1432no—
668C2×C4—148no—
669C2×C4—148no—
670C2×C4—142no—
671C2×C4—144no—
672C2×C4—142no—
673C2×C4—142no—
674C2×C4—142no—
675C2×C4—142no—
676C2×C4—142no—
677C2×C4—144no—
678C2×C4—144no—
679C2×C4—142no—
680C2×C4—144no—
681C2×C4—142no—
682C2×C4—144no—
683C2×C4—284no—
684C2×C4—2816no—
685C2×C4—284no—
686C2×C4—564no—
687C2×C4C2×D4×D712yes—
688C2×C4C2×D4×D712yes—
689C7#3498911yescharacteristic, complemented, Sylow
690C22—232no—
691C22—22no—
692C22—24no—
693C22—24no—
694C22—24no—
695C22—24no—
696C22—22no—
697C22—24no—
698C22—24no—
699C22—24no—
700C22—24no—
701C22—282no—
702C22—282no—
703C22—284no—
704C22—282no—
705C22—284no—
706C22#9031814yes—
707C22#9033618yescomplemented
708C22C22×D4×D711yescharacteristic
709C22C2×#654812yes—
710C22C22×#116111yescharacteristic
711C22C2×D7×#4111yescharacteristic
712C22C2×#655412yes—
713C4—22no—
714C4—22no—
715C4—42no—
716C4—42no—
717C4—42no—
718C4—44no—
719C4—144no—
720C4—144no—
721C4—144no—
722C4—282no—
723C4—282no—
724C4—284no—
725C2—24no—
726C2—28no—
727C2—562no—
728C2#1174298711yescharacteristic
729C2C2×#9031811yescharacteristic
730C2C2×#9033612yes—
731C2#1174309011yescharacteristic
732C2#1174309312yes—
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2848C2
prime radical#11741477C2
hypercenter#2848D7
hypocenterC7#34989
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2848

Complements

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

NH ≅ G/Ntype
1. C23×Dic7⋊C4C2semidirect
2. C2×#90336C2semidirect
3. C7×#2848C2semidirect
5. #11740233C2semidirect
6. #11740209C2semidirect
7. #11732065C2semidirect
8. #11731888C2semidirect
9. #11731863C2semidirect
10. #11731829C2semidirect
11. #11731477C2semidirect
12. #11731355C2semidirect
13. #11731312C2semidirect
14. #11731292C2semidirect
15. #11731263C2semidirect
22. C2×#6509C22semidirect
33. C2×#6461C22semidirect
34. C2×#6457C22semidirect
35. C2×#6453C22semidirect
45. #90001C22semidirect
50. #89766C22semidirect
51. #89764C22semidirect
52. #89761C22semidirect
53. #89756C22semidirect
54. #89756C22semidirect
55. #89754C22semidirect
56. #89750C22semidirect
57. #89745C22semidirect
70. #89447C22semidirect
71. #89444C22semidirect
72. #89441C22semidirect
73. #89433C22semidirect
74. #89432C22semidirect
75. #89427C22semidirect
76. #89426C22semidirect
134. C2×Dic7⋊C4D4semidirect
166. #2848D7semidirect
497. C22×C7#539semidirect
689. C7#34989semidirect
707. C22#90336semidirect

Maximal subgroups

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

subgroupindex
C23×Dic7⋊C42
C2×#903362
C7×#28482
#117414772
#117402332
#117402092
#117320652
#117318882
#117318632
#117318292
#117314772
#117313552
#117313122
#117312922
#117312632
#349897