Finite Group Databasebeta

← #13380634

Subgroups — #13380634

Order 1792.

2514 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#525C211yesmaximal, characteristic, complemented
2C22×#6512C211yesmaximal, characteristic, complemented
3C22×#6493C211yesmaximal, characteristic, complemented
4C2×#90004C211yesmaximal, characteristic, complemented
5C2×#89979C211yesmaximal, characteristic, complemented
6C2×#89773C211yesmaximal, characteristic, complemented
7#11729453C214yesmaximal, complemented
8#11729438C214yesmaximal, complemented
9#11729335C211yesmaximal, characteristic, complemented
10C22×C7×#41C2211yescharacteristic
11C24×C4×C7C2211yescharacteristic
12C23×C22⋊D7—21no—
13C23×D28C2211yescharacteristic
14C7×#525—24no—
15C7×#525—24no—
16C2×C7×#123—21no—
17C2×C7×C22⋊Q8C2212yescomplemented
18C2×C7×#121C2212yescomplemented
19C2×C7×#120—21no—
20C2×C4×C7×D4—22no—
21C2×C7×#117C2211yescharacteristic
22C2×#6512—24no—
23C2×#6512—24no—
24C2×#6512—24no—
25C22×#1143C2212yescomplemented
26C22×#1141C2212yescomplemented
27C2×#6493—22no—
28C2×#6493—24no—
29C2×#6493—24no—
30C2×#6493C2214yes—
31C22×(C2×D7)⋊C4—21no—
32C22×C4⋊Dic7C2211yescharacteristic
33C22×#1136C2211yescharacteristic
34C22×#1136C2211yescharacteristic
35#90004—24no—
36C2×#6409C2212yescomplemented
37C2×#6406C2212yescomplemented
38#89979—24no—
39C2×C22⋊(C7⋊C8)C2214yescomplemented
40#89773—24no—
41C2×#6383C2214yescomplemented
42#89324C2214yescomplemented
43#23391—71nomaximal, Sylow
44C25×C7D411yescharacteristic
45C24×D7—21no—
46C2×C7×#41—22no—
47C2×C7×#41—22no—
48C2×C7×#41—22no—
49C2×C7×#41—22no—
50C2×C7×#41—22no—
51C2×C7×#41D414yescomplemented
52C22×C7×Q8C2311yescharacteristic
53C22×C7×D4—21no—
54C22×C7×D4—22no—
55C22×C7×D4C2311yescharacteristic
56C23×C4×C7—21no—
57C23×C4×C7—22no—
58C23×C4×C7—22no—
59C23×C4×C7—22no—
60C23×C4×C7—22no—
61C23×C4×C7—22no—
62C23×C4×C7—22no—
63C23×C4×C7D411yescharacteristic
64C23×C4×C7D412yes—
65C23×C4×C7C2312yes—
66C23×C4×C7C2311yescharacteristic
67C22×C22⋊D7—28no—
68C22×C22⋊D7—24no—
69C22×C22⋊D7—48no—
70C23×Dic7—21no—
71C22×D28—22no—
72C22×D28—22no—
73C22×D28—22no—
74C22×D28—22no—
75C22×D28—21no—
76C22×D28—22no—
77C22×D28D414yescomplemented
78C22×D28C2312yes—
79C7×#123—28no—
80C7×C22⋊Q8—24no—
81C7×C22⋊Q8—24no—
82C7×#121—24no—
83C7×#121—24no—
84C7×#120—28no—
85C4×C7×D4—216no—
86C7×#117—22no—
87C7×#117D414yescomplemented
88C2×C7×C4⋊C4—22no—
89C2×C7×C4⋊C4C2312yes—
90C2×C7×C22⋊C4—21no—
91C2×C7×C22⋊C4—22no—
92C2×C7×C22⋊C4—22no—
93C2×C42×C7—21no—
94#6512—232no—
95C2×#1143—24no—
96C2×#1143—24no—
97C2×#1143—24no—
98C2×#1141—24no—
99C2×#1141—24no—
100C2×#1141—24no—
101#6493—216no—
102#6493—28no—
103#6493—28no—
104C2×(C2×D7)⋊C4—28no—
105C2×(C2×D7)⋊C4—24no—
106C2×C4⋊Dic7—21no—
107C2×C4⋊Dic7—22no—
108C2×C4⋊Dic7D414yescomplemented
109C2×C4⋊Dic7C2312yes—
110C2×#1136—22no—
111C2×#1136—22no—
112C2×#1136—22no—
113C2×#1136—22no—
114C2×#1136—22no—
115C2×#1136D414yescomplemented
116C22×C7⋊C8C2312yes—
117C22×C7⋊C8C2312yes—
118#6409—24no—
119#6406—24no—
120C22⋊(C7⋊C8)—28no—
121#6383—28no—
122C22×AGL(1,ℤ/8)—71no—
123C2×#525D711yescharacteristic, complemented
124C22×#121—71no—
125C2×#417—71no—
126C2×#418—71no—
127C2×#407—71no—
128#2000—74no—
129#1999—74no—
130#1736—71no—
131C24×C7—22no—
132C24×C7—24no—
133C24×C7—22no—
134C24×C7—22no—
135C24×C7—21no—
136C24×C7—42no—
137C24×C7C2×D412yes—
138C24×C7C2×D411yescharacteristic
139C23×D7—24no—
140C23×D7—22no—
141C23×D7—44no—
142C23×D7—44no—
143C23×D7—42no—
144C23×D7—42no—
145C7×#41—28no—
146C7×#41—28no—
147C7×#41—44no—
148C7×#41—44no—
149C2×C7×Q8—21no—
150C2×C7×Q8—21no—
151C2×C7×Q8—21no—
152C2×C7×Q8—21no—
153C2×C7×Q8—21no—
154C2×C7×Q8C2×D412yescomplemented
155C2×C7×D4—28no—
156C2×C7×D4—24no—
157C2×C7×D4—21no—
158C2×C7×D4—21no—
159C2×C7×D4—21no—
160C2×C7×D4—21no—
161C2×C7×D4—21no—
162C2×C7×D4—44no—
163C2×C7×D4—42no—
164C2×C7×D4—42no—
165C2×C7×D4—44no—
166C2×C7×D4C2×D412yescomplemented
167C22×C4×C7—22no—
168C22×C4×C7—22no—
169C22×C4×C7—22no—
170C22×C4×C7—22no—
171C22×C4×C7—21no—
172C22×C4×C7—24no—
173C22×C4×C7—24no—
174C22×C4×C7—24no—
175C22×C4×C7—24no—
176C22×C4×C7—22no—
177C22×C4×C7—22no—
178C22×C4×C7—22no—
179C22×C4×C7—22no—
180C22×C4×C7—22no—
181C22×C4×C7—22no—
182C22×C4×C7—44no—
183C22×C4×C7—42no—
184C22×C4×C7—44no—
185C22×C4×C7—44no—
186C22×C4×C7—42no—
187C22×C4×C7—44no—
188C22×C4×C7C2×D412yes—
189C22×C4×C7C2×D411yescharacteristic
190C22×C4×C7C2×D412yes—
191C22×C4×C7C2×D412yes—
192C22×C4×C7C2×D412yes—
193C22×C4×C7C2×D412yes—
194C22×C4×C7C2×D412yes—
195C22×C4×C7#4112yes—
196C22×C4×C7C2411yescharacteristic
197C2×C22⋊D7—216no—
198C2×C22⋊D7—432no—
199C2×C22⋊D7—48no—
200C2×C22⋊D7—48no—
201C22×Dic7—24no—
202C22×Dic7—22no—
203C22×Dic7—44no—
204C2×D28—28no—
205C2×D28—28no—
206C2×D28—22no—
207C2×D28—22no—
208C2×D28—22no—
209C2×D28—22no—
210C2×D28—24no—
211C2×D28—22no—
212C2×D28—42no—
213C2×D28—44no—
214C2×D28—42no—
215C2×D28—44no—
216C2×D28C2×D414yes—
217C7×C4⋊C4—28no—
218C7×C4⋊C4—22no—
219C7×C4⋊C4C2×D414yescomplemented
220C7×C22⋊C4—28no—
221C7×C22⋊C4—28no—
222C7×C22⋊C4—24no—
223C42×C7—24no—
224#1143—216no—
225#1141—216no—
226(C2×D7)⋊C4—216no—
227C4⋊Dic7—24no—
228C4⋊Dic7—22no—
229C4⋊Dic7C2×D414yes—
230#1136—28no—
231#1136—44no—
232C2×C7⋊C8—22no—
233C2×C7⋊C8—22no—
234C2×C7⋊C8—22no—
235C2×C7⋊C8—22no—
236C2×C7⋊C8—22no—
237C2×C7⋊C8C2×D414yescomplemented
238C22×#41C2×D711yescharacteristic
239C23×D4—71no—
240C23×D4—141no—
241C24×C4C2×D711yescharacteristic
242C2×AGL(1,ℤ/8)—144no—
243C2×AGL(1,ℤ/8)—144no—
244C2×AGL(1,ℤ/8)—144no—
245C22×SD16—72no—
246C22×D8—72no—
247C22×M16—71no—
248C22×M16—71no—
249#525—24no—
250#525—24no—
251C2×#123—21no—
252C2×C22⋊Q8C2×D712yescomplemented
253C2×#121—74no—
254C2×#121—144no—
255C2×#121—144no—
256C2×#121—142no—
257C2×#121C2×D712yescomplemented
258C2×#120—21no—
259C2×C4×D4—22no—
260C2×#117C2×D711yescharacteristic
261C22×C4⋊C4—71no—
262C22×C22⋊C4—141no—
263#418—144no—
264#417—144no—
265C2×#103—72no—
266C2×#102—72no—
267C2×#102—74no—
268#407—144no—
269C2×C22⋊C8—74no—
270#340—74no—
271C23×C7—22no—
272C23×C7—22no—
273C23×C7—28no—
274C23×C7—22no—
275C23×C7—22no—
276C23×C7—22no—
277C23×C7—22no—
278C23×C7—22no—
279C23×C7—22no—
280C23×C7—22no—
281C23×C7—48no—
282C23×C7—48no—
283C23×C7—44no—
284C23×C7—44no—
285C23×C7—41no—
286C23×C7—41no—
287C23×C7—42no—
288C23×C7—42no—
289C23×C7#12012yes—
290C23×C7#12012yes—
291C23×C7#12112yes—
292C23×C7AGL(1,ℤ/8)14yescomplemented
293C23×C7C22×D411yescharacteristic
294C22×D7—24no—
295C22×D7—48no—
296C22×D7—48no—
297C22×D7—42no—
298C22×D7—42no—
299C22×D7—44no—
300C22×D7—44no—
301C22×D7—48no—
302C22×D7—88no—
303C22×D7—88no—
304C7×Q8—22no—
305C7×Q8—22no—
306C7×Q8—41no—
307C7×Q8—41no—
308C7×D4—22no—
309C7×D4—22no—
310C7×D4—416no—
311C7×D4—48no—
312C7×D4—41no—
313C7×D4—41no—
314C2×C4×C7—22no—
315C2×C4×C7—24no—
316C2×C4×C7—22no—
317C2×C4×C7—22no—
318C2×C4×C7—22no—
319C2×C4×C7—41no—
320C2×C4×C7—41no—
321C2×C4×C7—42no—
322C2×C4×C7—42no—
323C2×C4×C7—44no—
324C2×C4×C7—42no—
325C2×C4×C7—42no—
326C2×C4×C7—42no—
327C2×C4×C7—42no—
328C2×C4×C7—48no—
329C2×C4×C7—48no—
330C2×C4×C7#12014yes—
331C2×C4×C7#12012yes—
332C2×C4×C7#12012yes—
333C2×C4×C7#12114yes—
334C2×C4×C7#12114yes—
335C2×C4×C7#12112yes—
336C2×C4×C7#12714yes—
337C2×C4×C7C22×D411yescharacteristic
338C2×C4×C7C22×D411yescharacteristic
339C2×C4×C7C22×D411yescharacteristic
340C2×C4×C7C22×D411yescharacteristic
341C2×C4×C7C22×D411yescharacteristic
342C2×C4×C7C2×#4111yescharacteristic
343C22⋊D7—432no—
344C2×Dic7—24no—
345C2×Dic7—48no—
346C2×Dic7—44no—
347D28—24no—
348D28—24no—
349D28—42no—
350D28—42no—
351D28—48no—
352C7⋊C8—24no—
353C7⋊C8—42no—
354C25—141no—
355C25C22⋊D711yescharacteristic
356C2×#41—22no—
357C2×#41—22no—
358C2×#41—22no—
359C2×#41—22no—
360C2×#41—22no—
361C2×#41C22⋊D714yescomplemented
362C22×Q8C22×D711yescharacteristic
363C22×D4—22no—
364C22×D4—21no—
365C22×D4—74no—
366C22×D4—72no—
367C22×D4—148no—
368C22×D4—144no—
369C22×D4—142no—
370C22×D4—142no—
371C22×D4—142no—
372C22×D4—142no—
373C22×D4—142no—
374C22×D4—141no—
375C22×D4—288no—
376C22×D4C22×D711yescharacteristic
377C23×C4—22no—
378C23×C4—22no—
379C23×C4—22no—
380C23×C4—22no—
381C23×C4—21no—
382C23×C4—22no—
383C23×C4—22no—
384C23×C4—141no—
385C23×C4C22⋊D711yescharacteristic
386C23×C4C22⋊D712yes—
387C23×C4C22×D712yes—
388C23×C4C22×D711yescharacteristic
389AGL(1,ℤ/8)—1432no—
390C2×SD16—144no—
391C2×SD16—144no—
392C2×SD16—144no—
393C2×D8—144no—
394C2×D8—144no—
395C2×D8—144no—
396C2×M16—74no—
397C2×M16—142no—
398C2×M16—142no—
399C2×M16—142no—
400C2×M16—142no—
401C2×M16—142no—
402C22×C8—72no—
403C22×C8—72no—
404#123—28no—
405C22⋊Q8—24no—
406C22⋊Q8—24no—
407#121—24no—
408#121—24no—
409#121—148no—
410#121—148no—
411#121—1416no—
412#120—28no—
413C4×D4—216no—
414#117—22no—
415#117C22⋊D714yescomplemented
416C2×C4⋊C4—22no—
417C2×C4⋊C4—74no—
418C2×C4⋊C4—72no—
419C2×C4⋊C4—142no—
420C2×C4⋊C4—141no—
421C2×C4⋊C4C22×D712yes—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—22no—
424C2×C22⋊C4—22no—
425C2×C22⋊C4—148no—
426C2×C22⋊C4—144no—
427C2×C42—21no—
428#103—144no—
429#102—144no—
430#102—148no—
431C22⋊C8—148no—
432C22×C7—22no—
433C22×C7—22no—
434C22×C7—24no—
435C22×C7—24no—
436C22×C7—24no—
437C22×C7—24no—
438C22×C7—24no—
439C22×C7—416no—
440C22×C7—42no—
441C22×C7—42no—
442C22×C7—42no—
443C22×C7—42no—
444C22×C7—42no—
445C22×C7—44no—
446C22×C7—81no—
447C22×C7—81no—
448C22×C7—82no—
449C22×C7#39214yes—
450C22×C7C2×#12011yescharacteristic
451C22×C7C2×#12011yescharacteristic
452C22×C7C2×#12111yescharacteristic
453C22×C7C2×AGL(1,ℤ/8)12yes—
454C22×C7#57512yes—
455C2×D7—44no—
456C2×D7—44no—
457C2×D7—44no—
458C2×D7—816no—
459C2×D7—84no—
460C2×D7—84no—
461C4×C7—42no—
462C4×C7—42no—
463C4×C7—44no—
464C4×C7#39214yes—
465C4×C7C2×#12011yescharacteristic
466C4×C7C2×#12111yescharacteristic
467C4×C7C2×#12111yescharacteristic
468C4×C7C2×#12711yescharacteristic
469Dic7—44no—
470C24—22no—
471C24—24no—
472C24—22no—
473C24—22no—
474C24—21no—
475C24—42no—
476C24—144no—
477C24—142no—
478C24—284no—
479C24—284no—
480C24—282no—
481C24—282no—
482C24C2×C22⋊D712yes—
483C24C2×C22⋊D711yescharacteristic
484#41—28no—
485#41—28no—
486#41—44no—
487#41—44no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8C2×C22⋊D712yescomplemented
494C2×D4—28no—
495C2×D4—24no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—44no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4—44no—
505C2×D4—74no—
506C2×D4—1416no—
507C2×D4—148no—
508C2×D4—144no—
509C2×D4—148no—
510C2×D4—142no—
511C2×D4—142no—
512C2×D4—142no—
513C2×D4—142no—
514C2×D4—142no—
515C2×D4—2832no—
516C2×D4—288no—
517C2×D4—288no—
518C2×D4—284no—
519C2×D4—282no—
520C2×D4—284no—
521C2×D4—282no—
522C2×D4C2×C22⋊D712yescomplemented
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—21no—
528C22×C4—24no—
529C22×C4—24no—
530C22×C4—24no—
531C22×C4—24no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—44no—
539C22×C4—42no—
540C22×C4—44no—
541C22×C4—44no—
542C22×C4—42no—
543C22×C4—44no—
544C22×C4—144no—
545C22×C4—142no—
546C22×C4—284no—
547C22×C4D4×D712yes—
548C22×C4D4×D712yes—
549C22×C4D4×D712yes—
550C22×C4#115912yes—
551C22×C4C2×C22⋊D712yes—
552C22×C4C2×C22⋊D711yescharacteristic
553C22×C4C2×C22⋊D712yes—
554C22×C4C2×C22⋊D712yes—
555C22×C4C23×D711yescharacteristic
556SD16—1416no—
557D8—1416no—
558M16—148no—
559M16—284no—
560C2×C8—74no—
561C2×C8—142no—
562C2×C8—142no—
563C2×C8—142no—
564C2×C8—142no—
565C2×C8—142no—
566C4⋊C4—28no—
567C4⋊C4—22no—
568C4⋊C4—74no—
569C4⋊C4—144no—
570C4⋊C4—142no—
571C4⋊C4C2×C22⋊D714yescomplemented
572C22⋊C4—28no—
573C22⋊C4—28no—
574C22⋊C4—24no—
575C22⋊C4—1416no—
576C42—24no—
577C2×C7—24no—
578C2×C7—44no—
579C2×C7—82no—
580C2×C7C2×#39211yescharacteristic
581C2×C7#300311yescharacteristic
582C2×C7#300511yescharacteristic
583C2×C7#300612yes—
584C2×C7#305512yes—
585D7—84no—
586C23—22no—
587C23—22no—
588C23—28no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—48no—
597C23—48no—
598C23—44no—
599C23—44no—
600C23—41no—
601C23—41no—
602C23—42no—
603C23—42no—
604C23—144no—
605C23—288no—
606C23—288no—
607C23—282no—
608C23—288no—
609C23—284no—
610C23—284no—
611C23—282no—
612C23—568no—
613C23—568no—
614C23#650012yes—
615C23#650212yes—
616C23#651214yescomplemented
617C23#651612yes—
618C23C22×C22⋊D711yescharacteristic
619Q8—22no—
620Q8—22no—
621Q8—41no—
622Q8—41no—
623D4—22no—
624D4—22no—
625D4—416no—
626D4—48no—
627D4—41no—
628D4—41no—
629D4—144no—
630D4—144no—
631D4—2832no—
632D4—282no—
633D4—282no—
634D4—288no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—24no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—44no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—48no—
650C2×C4—48no—
651C2×C4—144no—
652C2×C4—288no—
653C2×C4—284no—
654C2×C4#650014yes—
655C2×C4#650012yes—
656C2×C4#650114yes—
657C2×C4#650214yes—
658C2×C4#650212yes—
659C2×C4#650314yes—
660C2×C4#651612yes—
661C2×C4C2×D4×D711yescharacteristic
662C2×C4C2×D4×D711yescharacteristic
663C2×C4C2×D4×D711yescharacteristic
664C2×C4C2×#115911yescharacteristic
665C2×C4C22×C22⋊D711yescharacteristic
666C2×C4C22×C22⋊D711yescharacteristic
667C8—144no—
668C8—282no—
669C7#2339111yescharacteristic, complemented, Sylow
670C22—24no—
671C22—24no—
672C22—22no—
673C22—22no—
674C22—24no—
675C22—24no—
676C22—24no—
677C22—416no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—44no—
684C22—82no—
685C22—81no—
686C22—81no—
687C22—284no—
688C22—284no—
689C22—284no—
690C22—5616no—
691C22—564no—
692C22—564no—
693C22#8999514yes—
694C22C2×#650011yescharacteristic
695C22C2×#650211yescharacteristic
696C22C2×#651212yes—
697C22#9051312yes—
698C22C2×#651611yescharacteristic
699C4—42no—
700C4—42no—
701C4—44no—
702C4—284no—
703C4#8999514yes—
704C4C2×#650011yescharacteristic
705C4C2×#650111yescharacteristic
706C4C2×#650211yescharacteristic
707C4C2×#650311yescharacteristic
708C2—24no—
709C2—44no—
710C2—82no—
711C2—564no—
712C2#1174036912yes—
713C2#1174037211yescharacteristic
714C2#1174037311yescharacteristic
715C2C2×#8999511yescharacteristic
716C2#1174152712yes—
subgroupG/H
centerC23C22×C22⋊D7
commutator, cosocleC22×C4×C7C24
FrattiniC22×C4C23×D7
FittingC2×C7×#525C2
socleC23×C7C22×D4
hypercenterC2×#525D7
hypocenterC7#23391
LCSG ▷ C22×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C24×C4 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C2×C7×#525C2semidirect
2. C22×#6512C2semidirect
3. C22×#6493C2semidirect
4. C2×#90004C2semidirect
5. C2×#89979C2semidirect
6. C2×#89773C2semidirect
7. #11729453C2semidirect
8. #11729438C2semidirect
9. #11729335C2semidirect
17. C2×C7×C22⋊Q8C22semidirect
18. C2×C7×#121C22semidirect
25. C22×#1143C22semidirect
26. C22×#1141C22semidirect
36. C2×#6409C22semidirect
37. C2×#6406C22semidirect
39. C2×C22⋊(C7⋊C8)C22semidirect
41. C2×#6383C22semidirect
42. #89324C22semidirect
51. C2×C7×#41D4semidirect
77. C22×D28D4semidirect
87. C7×#117D4semidirect
108. C2×C4⋊Dic7D4semidirect
115. C2×#1136D4semidirect
123. C2×#525D7semidirect
154. C2×C7×Q8C2×D4semidirect
166. C2×C7×D4C2×D4semidirect
219. C7×C4⋊C4C2×D4semidirect
237. C2×C7⋊C8C2×D4semidirect
252. C2×C22⋊Q8C2×D7semidirect
257. C2×#121C2×D7semidirect
292. C23×C7AGL(1,ℤ/8)semidirect
361. C2×#41C22⋊D7semidirect
415. #117C22⋊D7semidirect
493. C2×Q8C2×C22⋊D7semidirect
522. C2×D4C2×C22⋊D7semidirect
571. C4⋊C4C2×C22⋊D7semidirect
616. C23#6512semidirect
669. C7#23391semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#5252
C22×#65122
C22×#64932
C2×#900042
C2×#899792
C2×#897732
#117294532
#117294382
#117293352
#233917