Finite Group Databasebeta

← #14238654

Subgroups — #14238654

Order 1792.

2374 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#3496C211yesmaximal, characteristic, complemented
2C2×#90243C211yesmaximal, characteristic, complemented
3#11740977C218yesmaximal, complemented
4#11740936C218yesmaximal, complemented
5#11740761C212yesmaximal, complemented
6#11740751C212yesmaximal, complemented
7#11740076C212yesmaximal, complemented
8C2×#89812C212yesmaximal, complemented
9#11740070C212yesmaximal, complemented
10#11740069C212yesmaximal, complemented
11#11739747C211yesmaximal, characteristic, complemented
12C2×C7×H(5,𝔽2)—21no—
13C22×#1157C2211yescharacteristic, complemented
14C23×Dic14C2211yescharacteristic, complemented
15C7×#547C2214yescomplemented
16C7×#546—24no—
17C7×D42C2214yescomplemented
18C7×#537—21no—
19C7×#534—21no—
20C7×#534—21no—
21C7×#532C2212yes—
22C2×C7×#121C2212yes—
23C2×C7×#121C2212yes—
24C2×C4×C7×D4C2211yescharacteristic
25C2×#6502—21no—
26C22×#1142C2214yescomplemented
27C2×#6495C2214yescomplemented
28C2×#6493C2211yescharacteristic, complemented
29C2×#6487C2211yescharacteristic, complemented
30#90243—24no—
31#90243C2218yescomplemented
32C2×#6459—21no—
33C2×#6448—21no—
34C2×(C22⋊D7)⋊C4—21no—
35C2×#6438C2211yescharacteristic, complemented
36C2×C4×Dic14C2211yescharacteristic, complemented
37#89990C2214yescomplemented
38#89989C2214yescomplemented
39#89979C2212yescomplemented
40C2×C22⋊(C7⋊C8)C2212yescomplemented
41#89863C2214yescomplemented
42#89861C2214yescomplemented
43#89847C2214yescomplemented
44#89846C2214yescomplemented
45#89814C2218yescomplemented
46#89812C2218yescomplemented
47#89812C2214yescomplemented
48#89812C2214yescomplemented
49#89810C2218yescomplemented
50#89809C2218yescomplemented
51#89808C2214yescomplemented
52#89805C2214yescomplemented
53#89790C2218yescomplemented
54#89788C2218yescomplemented
55#89783C2218yescomplemented
56#89742C2214yescomplemented
57C2×#6384C2214yescomplemented
58#89739C2214yescomplemented
59#89738C2214yescomplemented
60#89698C2212yescomplemented
61#61572—71nomaximal, Sylow
62C7×H(5,𝔽2)—48no—
63C2×C7×#41—24no—
64C2×C7×#41—22no—
65C22×C7×D4—22no—
66C22×C7×D4—22no—
67C22×C7×D4—24no—
68C22×C7×D4D411yescharacteristic
69C22×C7×D4C2312yes—
70C22×C7×D4C2312yes—
71C23×C4×C7C2311yescharacteristic
72C23×C4×C7C2311yescharacteristic
73C22×C22⋊D7—21no—
74C22×C22⋊D7—21no—
75C23×Dic7—21no—
76C2×#1157—22no—
77C2×#1157—44no—
78C2×#1157C2314yes—
79C22×D28C2311yescharacteristic
80C22×C4×D7—21no—
81C22×Dic14—21no—
82C22×Dic14—22no—
83C22×Dic14—44no—
84C22×Dic14C2311yescharacteristic
85C22×Dic14C2314yes—
86C22×Dic14C2311yescharacteristic
87C7×C4⋊Q8C2312yes—
88C7×#127C2312yes—
89C7×#124—22no—
90C7×#123—24no—
91C7×#123—24no—
92C7×C22⋊Q8—24no—
93C7×#121—22no—
94C7×#121—22no—
95C7×#121—22no—
96C7×#121—22no—
97C7×#121—22no—
98C7×#121—24no—
99C7×#121C2314yes—
100C7×#121C2314yes—
101C7×#121C2314yes—
102C7×#120—24no—
103C7×#120—24no—
104C4×C7×D4—22no—
105C4×C7×D4D414yes—
106C4×C7×D4C2314yes—
107C4×C7×D4C2314yes—
108C2×C7×C4⋊C4D411yescharacteristic
109C2×C7×C4⋊C4C2312yes—
110C2×C7×C4⋊C4C2312yes—
111C2×C7×C22⋊C4—22no—
112C2×C7×C22⋊C4—22no—
113C2×C7×C22⋊C4D411yescharacteristic
114C2×C7×C22⋊C4D411yescharacteristic
115C2×C42×C7C2311yescharacteristic
116C2×C22⋊Dic7—21no—
117#6502—28no—
118C2×#1142—48no—
119C2×#1142C2318yes—
120C2×#1142C2318yes—
121#6495—48no—
122C2×#1141C2318yes—
123#6493—22no—
124#6493C2314yes—
125C2×(C2×D7)⋊C4—21no—
126C2×(C2×D7)⋊C4—21no—
127C2×(C2×D7)⋊C4—21no—
128C2×C4⋊Dic7C2311yescharacteristic
129#6487—22no—
130#6487C2314yes—
131C2×Dic7⋊C4—21no—
132C2×Dic7⋊C4—21no—
133C2×C4×Dic7—21no—
134C2×#1136C2314yes—
135C22×C7⋊C8C2314yes—
136#6459—28no—
137#6448—28no—
138(C22⋊D7)⋊C4—28no—
139#6438—22no—
140#6438C2314yes—
141C4×Dic14—22no—
142C4×Dic14C2314yes—
143#6406C2318yes—
144C22⋊(C7⋊C8)C2314yes—
145C22⋊(C7⋊C8)C2314yes—
146C22⋊(C7⋊C8)C2314yes—
147#6384C2318yes—
148#6384C2318yes—
149#6383C2318yes—
150#6381C2318yes—
151C4⋊(C7⋊C8)C2314yes—
152#6377C2314yes—
153#3496D711yescharacteristic, complemented
154C2×#548—71no—
155#3308—78no—
156#3265—78no—
157#3213—72no—
158#3193—72no—
159#3186—72no—
160#3112—72no—
161#3006—72no—
162C2×#448—72no—
163#2973—71no—
164C24×C7—22no—
165C24×C7—22no—
166C24×C7C2×D411yescharacteristic
167C24×C7C2×D411yescharacteristic
168C23×D7—21no—
169C7×#41—48no—
170C7×#41—416no—
171C2×C7×Q8—22no—
172C2×C7×D4—24no—
173C2×C7×D4—24no—
174C2×C7×D4—24no—
175C2×C7×D4—24no—
176C2×C7×D4—22no—
177C2×C7×D4—22no—
178C2×C7×D4—22no—
179C2×C7×D4—22no—
180C2×C7×D4—44no—
181C2×C7×D4—44no—
182C2×C7×D4—416no—
183C2×C7×D4—48no—
184C2×C7×D4—48no—
185C2×C7×D4C2×D414yes—
186C2×C7×D4C2414yes—
187C22×C4×C7—22no—
188C22×C4×C7—22no—
189C22×C4×C7—24no—
190C22×C4×C7—42no—
191C22×C4×C7—42no—
192C22×C4×C7C2×D411yescharacteristic
193C22×C4×C7C2×D411yescharacteristic
194C22×C4×C7C2×D411yescharacteristic
195C22×C4×C7C2×D412yes—
196C22×C4×C7C2×D411yescharacteristic
197C22×C4×C7C2×D412yes—
198C22×C4×C7C2411yescharacteristic
199C22×C4×C7C2412yes—
200C22×C4×C7C2412yes—
201C2×C22⋊D7—24no—
202C2×C22⋊D7—24no—
203C2×C22⋊D7—44no—
204C2×C22⋊D7—44no—
205C22×Dic7—21no—
206C22×Dic7—24no—
207C22×Dic7—21no—
208C22×Dic7—21no—
209C22×Dic7—44no—
210#1157—28no—
211#1157—44no—
212#1157—48no—
213C2×D28—21no—
214C2×D28—42no—
215C2×D28C2412yes—
216C2×C4×D7—24no—
217C2×C4×D7—44no—
218C2×Dic14—21no—
219C2×Dic14—24no—
220C2×Dic14—28no—
221C2×Dic14—21no—
222C2×Dic14—24no—
223C2×Dic14—44no—
224C2×Dic14—42no—
225C2×Dic14—48no—
226C2×Dic14—44no—
227C2×Dic14C2412yes—
228C2×Dic14C2412yes—
229C7×C4⋊C4—22no—
230C7×C4⋊C4—22no—
231C7×C4⋊C4—22no—
232C7×C4⋊C4C2×D414yes—
233C7×C4⋊C4C2414yes—
234C7×C22⋊C4—24no—
235C7×C22⋊C4—24no—
236C7×C22⋊C4—24no—
237C7×C22⋊C4—24no—
238C7×C22⋊C4C2×D414yes—
239C7×C22⋊C4C2×D414yes—
240C42×C7C2×D412yes—
241C42×C7C2412yes—
242C22⋊Dic7—24no—
243#1142—216no—
244#1142—48no—
245#1141—48no—
246(C2×D7)⋊C4—24no—
247(C2×D7)⋊C4—24no—
248(C2×D7)⋊C4—24no—
249C4⋊Dic7—21no—
250C4⋊Dic7C2412yes—
251Dic7⋊C4—24no—
252Dic7⋊C4—24no—
253C4×Dic7—24no—
254#1136—44no—
255C2×C7⋊C8—44no—
256C2×C7⋊C8C2418yes—
257C2×H(5,𝔽2)—21no—
258C22×#41—71no—
259C23×Q8—71no—
260C2×AGL(1,ℤ/8)—74no—
261C22×SD16—74no—
262#548—78no—
263#548—144no—
264#547C2×D714yescomplemented
265#546—24no—
266D42C2×D714yescomplemented
267#537—21no—
268#534—21no—
269#534—21no—
270#532C2×D712yes—
271C2×#124—71no—
272C2×#124—141no—
273C2×C22⋊Q8—71no—
274C2×C22⋊Q8—141no—
275C2×#121—71no—
276C2×#121—141no—
277C2×#121C2×D712yes—
278C2×#121C2×D712yes—
279C2×C4×Q8—71no—
280C2×C4×D4—141no—
281C2×C4×D4C2×D711yescharacteristic
282#496—74no—
283#489—74no—
284#484—74no—
285#480—74no—
286#480—74no—
287#477—74no—
288#468—78no—
289#466—78no—
290#463—78no—
291#460—74no—
292#450—74no—
293#449—78no—
294#448—74no—
295#448—74no—
296#448—78no—
297#447—74no—
298#447—74no—
299#440—78no—
300#435—78no—
301#432—72no—
302#417—74no—
303C2×#103—74no—
304#407—72no—
305C2×C22⋊C8—72no—
306C23×C7—22no—
307C23×C7—24no—
308C23×C7—41no—
309C23×C7—41no—
310C23×C7—41no—
311C23×C7—41no—
312C23×C7—44no—
313C23×C7—44no—
314C23×C7—82no—
315C23×C7—82no—
316C23×C7—82no—
317C23×C7—82no—
318C23×C7AGL(1,ℤ/8)14yescomplemented
319C23×C7C22×D412yes—
320C23×C7C22×D412yes—
321C23×C7C22×D411yescharacteristic
322C22×D7—22no—
323C22×D7—42no—
324C22×D7—42no—
325C22×D7—42no—
326C7×Q8—44no—
327C7×D4—28no—
328C7×D4—28no—
329C7×D4—44no—
330C7×D4—48no—
331C7×D4—48no—
332C7×D4—48no—
333C7×D4—82no—
334C7×D4—82no—
335C7×D4—82no—
336C2×C4×C7—22no—
337C2×C4×C7—24no—
338C2×C4×C7—24no—
339C2×C4×C7—22no—
340C2×C4×C7—24no—
341C2×C4×C7—42no—
342C2×C4×C7—41no—
343C2×C4×C7—41no—
344C2×C4×C7—42no—
345C2×C4×C7—41no—
346C2×C4×C7—48no—
347C2×C4×C7—44no—
348C2×C4×C7—44no—
349C2×C4×C7C22×D412yes—
350C2×C4×C7C22×D412yes—
351C2×C4×C7C22×D412yes—
352C2×C4×C7C22×D411yescharacteristic
353C2×C4×C7C22×D412yes—
354C2×C4×C7C2511yescharacteristic
355C22⋊D7—48no—
356C22⋊D7—48no—
357C2×Dic7—24no—
358C2×Dic7—22no—
359C2×Dic7—22no—
360C2×Dic7—22no—
361C2×Dic7—48no—
362C2×Dic7—42no—
363C2×Dic7—42no—
364D28—24no—
365D28—42no—
366C4×D7—48no—
367Dic14—24no—
368Dic14—22no—
369Dic14—24no—
370Dic14—48no—
371Dic14—42no—
372Dic14H(5,𝔽2)14yescomplemented
373C7⋊C8—28no—
374H(5,𝔽2)—48no—
375C2×#41—24no—
376C2×#41—22no—
377C2×#41—74no—
378C2×#41—142no—
379C2×#41—284no—
380C22×Q8—71no—
381C22×Q8—74no—
382C22×Q8—71no—
383C22×Q8—141no—
384C22×Q8—142no—
385C22×Q8—284no—
386C22×D4—22no—
387C22×D4—22no—
388C22×D4—24no—
389C22×D4—71no—
390C22×D4—141no—
391C22×D4—141no—
392C22×D4C22⋊D711yescharacteristic
393C22×D4C22×D712yes—
394C22×D4C22×D712yes—
395C23×C4—141no—
396C23×C4—141no—
397C23×C4C22×D711yescharacteristic
398C23×C4C22×D711yescharacteristic
399AGL(1,ℤ/8)—288no—
400C2×SD16—78no—
401C2×SD16—78no—
402C2×SD16—288no—
403C2×D8—78no—
404C2×M16—74no—
405C22×C8—74no—
406C4⋊Q8C22×D712yes—
407#127C22×D712yes—
408#124—22no—
409#124—74no—
410#124—148no—
411#124—142no—
412#123—24no—
413#123—24no—
414C22⋊Q8—24no—
415C22⋊Q8—74no—
416C22⋊Q8—142no—
417C22⋊Q8—148no—
418#121—22no—
419#121—22no—
420#121—22no—
421#121—22no—
422#121—22no—
423#121—24no—
424#121—74no—
425#121—148no—
426#121—142no—
427#121C22×D714yes—
428#121C22×D714yes—
429#121C22×D714yes—
430#120—24no—
431#120—24no—
432C4×Q8—74no—
433C4×Q8—142no—
434C4×D4—22no—
435C4×D4—148no—
436C4×D4C22⋊D714yes—
437C4×D4C22×D714yes—
438C4×D4C22×D714yes—
439C2×C4⋊C4—71no—
440C2×C4⋊C4—141no—
441C2×C4⋊C4—141no—
442C2×C4⋊C4C22⋊D711yescharacteristic
443C2×C4⋊C4C22×D712yes—
444C2×C4⋊C4C22×D712yes—
445C2×C22⋊C4—22no—
446C2×C22⋊C4—22no—
447C2×C22⋊C4—141no—
448C2×C22⋊C4—141no—
449C2×C22⋊C4—141no—
450C2×C22⋊C4—141no—
451C2×C22⋊C4C22⋊D711yescharacteristic
452C2×C22⋊C4C22⋊D711yescharacteristic
453C2×C42—141no—
454C2×C42C22×D711yescharacteristic
455#107—78no—
456C4⋊C8—74no—
457#103—78no—
458#103—78no—
459#102—78no—
460#102—78no—
461C22⋊C8—74no—
462C22⋊C8—74no—
463C22⋊C8—74no—
464#97—74no—
465C22×C7—21no—
466C22×C7—22no—
467C22×C7—21no—
468C22×C7—22no—
469C22×C7—22no—
470C22×C7—22no—
471C22×C7—22no—
472C22×C7—44no—
473C22×C7—44no—
474C22×C7—44no—
475C22×C7—44no—
476C22×C7—82no—
477C22×C7—164no—
478C22×C7—164no—
479C22×C7C2×AGL(1,ℤ/8)12yes—
480C22×C7C2×AGL(1,ℤ/8)14yes—
481C22×C7C23×D411yescharacteristic
482C2×D7—42no—
483C2×D7—42no—
484C2×D7—42no—
485C2×D7—84no—
486C4×C7—22no—
487C4×C7—21no—
488C4×C7—22no—
489C4×C7—22no—
490C4×C7—22no—
491C4×C7—44no—
492C4×C7C2×H(5,𝔽2)12yes—
493Dic7—24no—
494Dic7—42no—
495Dic7—42no—
496C24—22no—
497C24—22no—
498C24—141no—
499C24C2×C22⋊D711yescharacteristic
500C24C2×C22⋊D711yescharacteristic
501#41—48no—
502#41—416no—
503#41—148no—
504#41—284no—
505#41—288no—
506C2×Q8—22no—
507C2×Q8—72no—
508C2×Q8—72no—
509C2×Q8—144no—
510C2×Q8—148no—
511C2×Q8—141no—
512C2×Q8—144no—
513C2×Q8—141no—
514C2×Q8—284no—
515C2×Q8—282no—
516C2×Q8—284no—
517C2×Q8—288no—
518C2×D4—24no—
519C2×D4—24no—
520C2×D4—24no—
521C2×D4—24no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—44no—
527C2×D4—44no—
528C2×D4—416no—
529C2×D4—48no—
530C2×D4—48no—
531C2×D4—72no—
532C2×D4—144no—
533C2×D4—144no—
534C2×D4—141no—
535C2×D4—282no—
536C2×D4—284no—
537C2×D4—284no—
538C2×D4C2×C22⋊D714yes—
539C2×D4C23×D714yes—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—24no—
543C22×C4—42no—
544C22×C4—42no—
545C22×C4—141no—
546C22×C4—141no—
547C22×C4—141no—
548C22×C4—144no—
549C22×C4—144no—
550C22×C4—284no—
551C22×C4—284no—
552C22×C4C2×C22⋊D711yescharacteristic
553C22×C4C2×C22⋊D711yescharacteristic
554C22×C4C2×C22⋊D712yes—
555C22×C4C2×C22⋊D712yes—
556C22×C4C2×C22⋊D711yescharacteristic
557C22×C4C2×C22⋊D711yescharacteristic
558C22×C4C23×D711yescharacteristic
559C22×C4C23×D712yes—
560C22×C4C23×D712yes—
561SD16—1416no—
562SD16—288no—
563D8—288no—
564M16—284no—
565C2×C8—78no—
566C2×C8—284no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—72no—
571C4⋊C4—144no—
572C4⋊C4—144no—
573C4⋊C4—141no—
574C4⋊C4C2×C22⋊D714yes—
575C4⋊C4C23×D714yes—
576C22⋊C4—24no—
577C22⋊C4—24no—
578C22⋊C4—24no—
579C22⋊C4—24no—
580C22⋊C4—144no—
581C22⋊C4—144no—
582C22⋊C4—144no—
583C22⋊C4—144no—
584C22⋊C4C2×C22⋊D714yes—
585C22⋊C4C2×C22⋊D714yes—
586C42—144no—
587C42C2×C22⋊D712yes—
588C42C23×D712yes—
589C2×C7—22no—
590C2×C7—24no—
591C2×C7—42no—
592C2×C7—84no—
593C2×C7#348411yescharacteristic
594C2×C7C22×AGL(1,ℤ/8)11yescharacteristic
595C2×C7#358611yescharacteristic
596D7—82no—
597C23—22no—
598C23—24no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—44no—
604C23—44no—
605C23—82no—
606C23—82no—
607C23—82no—
608C23—82no—
609C23—142no—
610C23—282no—
611C23—282no—
612C23—282no—
613C23#649514yescomplemented
614C23C22×C22⋊D712yes—
615C23C22×C22⋊D712yes—
616C23C22×C22⋊D711yescharacteristic
617Q8—44no—
618Q8—74no—
619Q8—144no—
620Q8—142no—
621Q8—144no—
622Q8—288no—
623Q8—282no—
624D4—28no—
625D4—28no—
626D4—44no—
627D4—48no—
628D4—48no—
629D4—48no—
630D4—82no—
631D4—82no—
632D4—82no—
633D4—144no—
634D4—282no—
635D4—288no—
636D4—288no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—41no—
643C2×C4—42no—
644C2×C4—41no—
645C2×C4—42no—
646C2×C4—41no—
647C2×C4—48no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—144no—
651C2×C4—142no—
652C2×C4—142no—
653C2×C4—142no—
654C2×C4—288no—
655C2×C4—288no—
656C2×C4—282no—
657C2×C4—282no—
658C2×C4C22×C22⋊D712yes—
659C2×C4C22×C22⋊D711yescharacteristic
660C2×C4C22×C22⋊D712yes—
661C2×C4C22×C22⋊D712yes—
662C2×C4C22×C22⋊D712yes—
663C2×C4C24×D711yescharacteristic
664C8—148no—
665C7#6157211yescharacteristic, complemented, Sylow
666C22—21no—
667C22—22no—
668C22—21no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—44no—
674C22—44no—
675C22—44no—
676C22—44no—
677C22—82no—
678C22—164no—
679C22—164no—
680C22—282no—
681C22—282no—
682C22—282no—
683C22—564no—
684C22C2×#649512yes—
685C22C2×#649514yes—
686C22C23×C22⋊D711yescharacteristic
687C4—22no—
688C4—21no—
689C4—22no—
690C4—22no—
691C4—22no—
692C4—44no—
693C4—144no—
694C4—282no—
695C4—282no—
696C4D7×H(5,𝔽2)12yes—
697C2—22no—
698C2—24no—
699C2—42no—
700C2—84no—
701C2—562no—
702C2C22×#649511yescharacteristic
703C2#1174435211yescharacteristic
704C2#1174436711yescharacteristic
subgroupG/H
centerC22C23×C22⋊D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC7×#3496C2
socleC22×C7C23×D4
hypercenter#3496D7
hypocenterC7#61572
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #3496

Complements

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

NH ≅ G/Ntype
1. C7×#3496C2semidirect
2. C2×#90243C2semidirect
3. #11740977C2semidirect
4. #11740936C2semidirect
5. #11740761C2semidirect
6. #11740751C2semidirect
7. #11740076C2semidirect
8. C2×#89812C2semidirect
9. #11740070C2semidirect
10. #11740069C2semidirect
11. #11739747C2semidirect
13. C22×#1157C22semidirect
14. C23×Dic14C22semidirect
15. C7×#547C22semidirect
17. C7×D42C22semidirect
26. C22×#1142C22semidirect
27. C2×#6495C22semidirect
28. C2×#6493C22semidirect
29. C2×#6487C22semidirect
31. #90243C22semidirect
35. C2×#6438C22semidirect
36. C2×C4×Dic14C22semidirect
37. #89990C22semidirect
38. #89989C22semidirect
39. #89979C22semidirect
40. C2×C22⋊(C7⋊C8)C22semidirect
41. #89863C22semidirect
42. #89861C22semidirect
43. #89847C22semidirect
44. #89846C22semidirect
45. #89814C22semidirect
46. #89812C22semidirect
47. #89812C22semidirect
48. #89812C22semidirect
49. #89810C22semidirect
50. #89809C22semidirect
51. #89808C22semidirect
52. #89805C22semidirect
53. #89790C22semidirect
54. #89788C22semidirect
55. #89783C22semidirect
56. #89742C22semidirect
57. C2×#6384C22semidirect
58. #89739C22semidirect
59. #89738C22semidirect
60. #89698C22semidirect
153. #3496D7semidirect
264. #547C2×D7semidirect
266. D42C2×D7semidirect
318. C23×C7AGL(1,ℤ/8)semidirect
372. Dic14H(5,𝔽2)semidirect
613. C23#6495semidirect
665. C7#61572semidirect

Maximal subgroups

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

subgroupindex
C7×#34962
C2×#902432
#117409772
#117409362
#117407612
#117407512
#117400762
C2×#898122
#117400702
#117400692
#117397472
#615727