Finite Group Databasebeta

← #13276045

Subgroups — #13276045

Order 1792.

2366 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×Dic7⋊C4C211yesmaximal, characteristic
2C2×C7×#380C211yesmaximal, characteristic
3C2×#89744C212yesmaximal, complemented
4C2×#89714C211yesmaximal, characteristic
5C2×#89714C211yesmaximal, characteristic
6C2×C22⋊C4×Dic7C211yesmaximal, characteristic
7#11729881C211yesmaximal, characteristic
8#11729320C212yesmaximal, complemented
9#11729298C211yesmaximal, characteristic
10#11727163C212yesmaximal, complemented
11Dic7⋊#95C212yesmaximal, complemented
12C24×C4×C7C2211yescharacteristic
13C24×Dic7C2211yescharacteristic
14C24×Dic7C2211yescharacteristic
15C22×C7×C4⋊C4C2212yes—
16C22×C7×C22⋊C4C2211yescharacteristic
17C22×C7×C22⋊C4C2211yescharacteristic
18C22×C22⋊Dic7C2211yescharacteristic
19C22×C22⋊Dic7C2211yescharacteristic
20C22×Dic7⋊C4—28no—
21C22×Dic7⋊C4C418yescomplemented
22C22×Dic7⋊C4C2212yes—
23C22×Dic7⋊C4C2212yes—
24C22×Dic7⋊C4C2211yescharacteristic
25C22×Dic7⋊C4C2211yescharacteristic
26C22×Dic7⋊C4C2211yescharacteristic
27C22×Dic7⋊C4C2211yescharacteristic
28C22×C4×Dic7C2212yes—
29C7×#380—24no—
30C2×C7×#95C2212yes—
31C2×C7⋊#95C2212yes—
32C2×C7⋊#95C2212yes—
33C2×C7⋊#95C2212yes—
34C2×C7⋊#95C2212yes—
35C2×C7⋊#95C2212yes—
36C2×C7⋊#95C2212yes—
37C2×C7⋊#95C2212yes—
38#89744—28no—
39#89714—24no—
40#89714—24no—
41C22⋊C4×Dic7—24no—
42#13907—71nomaximal, Sylow
43C25×C7C2311yescharacteristic
44C23×C4×C7—22no—
45C23×C4×C7—22no—
46C23×C4×C7—24no—
47C23×C4×C7—42no—
48C23×C4×C7C2×C414yes—
49C23×C4×C7C2312yes—
50C23×C4×C7C2311yescharacteristic
51C23×C4×C7C2312yes—
52C23×C4×C7C2311yescharacteristic
53C23×Dic7—24no—
54C23×Dic7—24no—
55C23×Dic7—22no—
56C23×Dic7—22no—
57C23×Dic7—24no—
58C23×Dic7—42no—
59C23×Dic7C2×C414yes—
60C23×Dic7C2×C414yes—
61C23×Dic7D414yes—
62C23×Dic7Q814yes—
63C23×Dic7C2312yes—
64C23×Dic7C2311yescharacteristic
65C23×Dic7C2312yes—
66C23×Dic7C2311yescharacteristic
67C23×Dic7C2311yescharacteristic
68C23×Dic7C2311yescharacteristic
69C2×C7×C4⋊C4—24no—
70C2×C7×C4⋊C4—24no—
71C2×C7×C4⋊C4—42no—
72C2×C7×C22⋊C4—22no—
73C2×C7×C22⋊C4—22no—
74C2×C7×C22⋊C4—22no—
75C2×C7×C22⋊C4—22no—
76C2×C7×C22⋊C4—22no—
77C2×C7×C22⋊C4D414yes—
78C2×C22⋊Dic7—22no—
79C2×C22⋊Dic7—22no—
80C2×C22⋊Dic7—22no—
81C2×C22⋊Dic7—22no—
82C2×C22⋊Dic7—22no—
83C2×C22⋊Dic7Q814yes—
84C2×Dic7⋊C4—24no—
85C2×Dic7⋊C4—24no—
86C2×Dic7⋊C4—24no—
87C2×Dic7⋊C4—232no—
88C2×Dic7⋊C4—24no—
89C2×Dic7⋊C4—24no—
90C2×Dic7⋊C4—24no—
91C2×Dic7⋊C4—24no—
92C2×Dic7⋊C4—24no—
93C2×Dic7⋊C4—42no—
94C2×Dic7⋊C4C2×C414yes—
95C2×Dic7⋊C4C2×C414yes—
96C2×Dic7⋊C4C2×C414yes—
97C2×Dic7⋊C4C2×C414yes—
98C2×Dic7⋊C4D418yes—
99C2×C4×Dic7—24no—
100C2×C4×Dic7—24no—
101C2×C4×Dic7—24no—
102C7×#95—24no—
103C7⋊#95—24no—
104C7⋊#95—24no—
105C7⋊#95—24no—
106C7⋊#95—24no—
107C7⋊#95—24no—
108C7⋊#95—42no—
109C7⋊#95—42no—
110C23×C4⋊C4—71no—
111C2×#389—72no—
112C2×#380—71no—
113C2×#380—71no—
114C2×#380D711yescharacteristic
115C2×C4×C22⋊C4—71no—
116#1441—72no—
117#1441—72no—
118C4⋊#95—72no—
119C22⋊#95—71no—
120C22⋊#95—71no—
121C24×C7—22no—
122C24×C7—22no—
123C24×C7—22no—
124C24×C7—22no—
125C24×C7C22×C412yes—
126C24×C7C2×D412yes—
127C24×C7C2×D412yes—
128C24×C7C2×Q812yes—
129C24×C7C2×Q812yes—
130C24×C7#4112yes—
131C24×C7#4112yes—
132C24×C7C2411yescharacteristic
133C22×C4×C7—21no—
134C22×C4×C7—21no—
135C22×C4×C7—22no—
136C22×C4×C7—28no—
137C22×C4×C7—22no—
138C22×C4×C7—21no—
139C22×C4×C7—22no—
140C22×C4×C7—22no—
141C22×C4×C7—22no—
142C22×C4×C7—22no—
143C22×C4×C7—21no—
144C22×C4×C7—22no—
145C22×C4×C7—22no—
146C22×C4×C7—22no—
147C22×C4×C7—28no—
148C22×C4×C7—22no—
149C22×C4×C7—22no—
150C22×C4×C7—22no—
151C22×C4×C7—22no—
152C22×C4×C7—22no—
153C22×C4×C7—22no—
154C22×C4×C7—22no—
155C22×C4×C7—44no—
156C22×C4×C7—48no—
157C22×C4×C7—48no—
158C22×C4×C7C22×C412yes—
159C22×C4×C7C22×C412yes—
160C22×C4×C7C2×D414yes—
161C22×C4×C7C2×D414yes—
162C22×Dic7—22no—
163C22×Dic7—21no—
164C22×Dic7—22no—
165C22×Dic7—21no—
166C22×Dic7—22no—
167C22×Dic7—28no—
168C22×Dic7—28no—
169C22×Dic7—216no—
170C22×Dic7—216no—
171C22×Dic7—28no—
172C22×Dic7—22no—
173C22×Dic7—21no—
174C22×Dic7—22no—
175C22×Dic7—22no—
176C22×Dic7—22no—
177C22×Dic7—22no—
178C22×Dic7—21no—
179C22×Dic7—22no—
180C22×Dic7—22no—
181C22×Dic7—22no—
182C22×Dic7—28no—
183C22×Dic7—22no—
184C22×Dic7—22no—
185C22×Dic7—22no—
186C22×Dic7—22no—
187C22×Dic7—22no—
188C22×Dic7—22no—
189C22×Dic7—22no—
190C22×Dic7—44no—
191C22×Dic7—48no—
192C22×Dic7—48no—
193C22×Dic7C4⋊C4116yescomplemented
194C22×Dic7C22×C412yes—
195C22×Dic7C22×C412yes—
196C22×Dic7C22×C412yes—
197C22×Dic7C22×C412yes—
198C22×Dic7C2×D414yes—
199C22×Dic7C2×D412yes—
200C22×Dic7C2×D414yes—
201C22×Dic7C2×D412yes—
202C22×Dic7C2×Q814yes—
203C22×Dic7C2×Q812yes—
204C22×Dic7C2×Q812yes—
205C22×Dic7#4114yes—
206C7×C4⋊C4—48no—
207C7×C22⋊C4—28no—
208C7×C22⋊C4—44no—
209C22⋊Dic7—28no—
210C22⋊Dic7—44no—
211Dic7⋊C4—28no—
212Dic7⋊C4—28no—
213Dic7⋊C4—28no—
214Dic7⋊C4—48no—
215Dic7⋊C4—48no—
216Dic7⋊C4C22⋊C4116yescomplemented
217C4×Dic7—48no—
218C24×C4—71no—
219C24×C4—71no—
220C24×C4C2×D711yescharacteristic
221C22×C4⋊C4—71no—
222C22×C4⋊C4—78no—
223C22×C4⋊C4—71no—
224C22×C4⋊C4—71no—
225C22×C4⋊C4—71no—
226C22×C4⋊C4—72no—
227C22×C4⋊C4—72no—
228C22×C4⋊C4—148no—
229C22×C4⋊C4C2×D712yes—
230C22×C22⋊C4—71no—
231C22×C22⋊C4—71no—
232C22×C22⋊C4C2×D711yescharacteristic
233C22×C22⋊C4C2×D711yescharacteristic
234C22×C42—72no—
235#389—148no—
236#380—24no—
237#380—144no—
238#380—144no—
239C4×C22⋊C4—144no—
240C2×#95—72no—
241C2×#95—72no—
242C2×#95—72no—
243C2×#95—72no—
244C2×#95—72no—
245C2×#95—72no—
246C2×#95—72no—
247C2×#95C2×D712yes—
248C23×C7—22no—
249C23×C7—22no—
250C23×C7—22no—
251C23×C7—22no—
252C23×C7—24no—
253C23×C7—24no—
254C23×C7—24no—
255C23×C7—24no—
256C23×C7—24no—
257C23×C7—24no—
258C23×C7—24no—
259C23×C7—24no—
260C23×C7—24no—
261C23×C7—24no—
262C23×C7—24no—
263C23×C7—24no—
264C23×C7C2×C4⋊C414yes—
265C23×C7C4×D414yes—
266C23×C7C4×Q814yes—
267C23×C7#12114yes—
268C23×C7C22⋊Q814yes—
269C23×C7#12514yes—
270C23×C7C4⋊Q814yes—
271C23×C7C23×C411yescharacteristic
272C23×C7C22×D412yes—
273C23×C7C22×D411yescharacteristic
274C23×C7C22×D411yescharacteristic
275C23×C7C22×Q811yescharacteristic
276C23×C7C22×Q811yescharacteristic
277C23×C7C2×#4111yescharacteristic
278C23×C7C2×#4111yescharacteristic
279C23×C7C2×#4112yes—
280C23×C7H(5,𝔽2)12yes—
281C23×C72−1+412yes—
282C2×C4×C7—22no—
283C2×C4×C7—22no—
284C2×C4×C7—24no—
285C2×C4×C7—24no—
286C2×C4×C7—22no—
287C2×C4×C7—22no—
288C2×C4×C7—22no—
289C2×C4×C7—24no—
290C2×C4×C7—24no—
291C2×C4×C7—24no—
292C2×C4×C7—416no—
293C2×C4×C7—42no—
294C2×C4×C7—42no—
295C2×C4×C7—42no—
296C2×C4×C7—42no—
297C2×C4×C7—42no—
298C2×C4×C7—42no—
299C2×C4×C7—42no—
300C2×C4×C7—42no—
301C2×C4×C7—42no—
302C2×C4×C7—42no—
303C2×C4×C7—42no—
304C2×C4×C7—42no—
305C2×C4×C7—42no—
306C2×C4×C7C2×C22⋊C414yes—
307C2×Dic7—22no—
308C2×Dic7—22no—
309C2×Dic7—22no—
310C2×Dic7—22no—
311C2×Dic7—24no—
312C2×Dic7—24no—
313C2×Dic7—24no—
314C2×Dic7—24no—
315C2×Dic7—232no—
316C2×Dic7—22no—
317C2×Dic7—22no—
318C2×Dic7—22no—
319C2×Dic7—24no—
320C2×Dic7—24no—
321C2×Dic7—24no—
322C2×Dic7—416no—
323C2×Dic7—42no—
324C2×Dic7—42no—
325C2×Dic7—42no—
326C2×Dic7—42no—
327C2×Dic7—42no—
328C2×Dic7—42no—
329C2×Dic7—42no—
330C2×Dic7—42no—
331C2×Dic7—42no—
332C2×Dic7—42no—
333C2×Dic7—42no—
334C2×Dic7—42no—
335C2×Dic7—42no—
336C2×Dic7C2×C22⋊C414yes—
337C2×Dic7C2×C22⋊C414yes—
338C2×Dic7C2×C4⋊C414yes—
339C2×Dic7C2×C4⋊C414yes—
340C2×Dic7#11714yes—
341C2×Dic7#12118yes—
342C2×Dic7C22⋊Q818yes—
343C25C22×D711yescharacteristic
344C23×C4—22no—
345C23×C4—22no—
346C23×C4—24no—
347C23×C4—42no—
348C23×C4—71no—
349C23×C4—74no—
350C23×C4—74no—
351C23×C4—74no—
352C23×C4—71no—
353C23×C4—71no—
354C23×C4—72no—
355C23×C4—71no—
356C23×C4—74no—
357C23×C4—72no—
358C23×C4—144no—
359C23×C4—144no—
360C23×C4—144no—
361C23×C4—142no—
362C23×C4—142no—
363C23×C4—282no—
364C23×C4C4×D714yes—
365C23×C4C22×D712yes—
366C23×C4C22×D711yescharacteristic
367C23×C4C22×D712yes—
368C23×C4C22×D711yescharacteristic
369C2×C4⋊C4—24no—
370C2×C4⋊C4—24no—
371C2×C4⋊C4—42no—
372C2×C4⋊C4—74no—
373C2×C4⋊C4—78no—
374C2×C4⋊C4—74no—
375C2×C4⋊C4—74no—
376C2×C4⋊C4—74no—
377C2×C4⋊C4—1432no—
378C2×C4⋊C4—144no—
379C2×C4⋊C4—144no—
380C2×C4⋊C4—144no—
381C2×C4⋊C4—144no—
382C2×C4⋊C4—144no—
383C2×C4⋊C4—144no—
384C2×C4⋊C4—144no—
385C2×C4⋊C4—144no—
386C2×C4⋊C4—282no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—22no—
389C2×C22⋊C4—22no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—22no—
392C2×C22⋊C4—74no—
393C2×C22⋊C4—142no—
394C2×C22⋊C4—142no—
395C2×C22⋊C4—142no—
396C2×C22⋊C4—142no—
397C2×C22⋊C4—142no—
398C2×C22⋊C4C22⋊D714yes—
399C2×C42—144no—
400C2×C42—144no—
401C2×C42—144no—
402#95—24no—
403#95—144no—
404#95—144no—
405#95—144no—
406#95—144no—
407#95—144no—
408#95—282no—
409#95—282no—
410C22×C7—24no—
411C22×C7—24no—
412C22×C7—24no—
413C22×C7—24no—
414C22×C7—24no—
415C22×C7—28no—
416C22×C7—28no—
417C22×C7—28no—
418C22×C7—28no—
419C22×C7—24no—
420C22×C7#38918yescomplemented
421C22×C7C22×C22⋊C411yescharacteristic
422C22×C7C22×C4⋊C411yescharacteristic
423C22×C7C2×#11711yescharacteristic
424C22×C7C2×C4×D411yescharacteristic
425C22×C7C2×C4×Q811yescharacteristic
426C22×C7#51811yescharacteristic
427C22×C7#51911yescharacteristic
428C22×C7C2×#12111yescharacteristic
429C22×C7C2×#12112yes—
430C22×C7C2×C22⋊Q811yescharacteristic
431C22×C7C2×C22⋊Q812yes—
432C22×C7C2×#12511yescharacteristic
433C22×C7C2×C4⋊Q811yescharacteristic
434C22×C7#53712yes—
435C22×C7#54412yes—
436C22×C7D4212yes—
437C22×C7#54612yes—
438C22×C7#54712yes—
439C22×C7#54812yes—
440C22×C7D4×Q812yes—
441C22×C7#55212yes—
442C22×C7#55312yes—
443C22×C7#55412yes—
444C4×C7—24no—
445C4×C7—42no—
446C4×C7—44no—
447C4×C7—82no—
448Dic7—24no—
449Dic7—24no—
450Dic7—42no—
451Dic7—44no—
452Dic7—82no—
453Dic7#38018yescomplemented
454C24—22no—
455C24—22no—
456C24—22no—
457C24—22no—
458C24C2×C4×D712yes—
459C24#115712yes—
460C24D4×D712yes—
461C24#115912yes—
462C24Q8×D712yes—
463C24Q8×D712yes—
464C24C2×C22⋊D712yes—
465C24C23×D711yescharacteristic
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—21no—
469C22×C4—28no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—28no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—44no—
489C22×C4—48no—
490C22×C4—48no—
491C22×C4—72no—
492C22×C4—72no—
493C22×C4—74no—
494C22×C4—72no—
495C22×C4—74no—
496C22×C4—716no—
497C22×C4—72no—
498C22×C4—72no—
499C22×C4—72no—
500C22×C4—74no—
501C22×C4—72no—
502C22×C4—72no—
503C22×C4—74no—
504C22×C4—148no—
505C22×C4—148no—
506C22×C4—1416no—
507C22×C4—1416no—
508C22×C4—148no—
509C22×C4—141no—
510C22×C4—142no—
511C22×C4—142no—
512C22×C4—142no—
513C22×C4—141no—
514C22×C4—148no—
515C22×C4—142no—
516C22×C4—141no—
517C22×C4—142no—
518C22×C4—142no—
519C22×C4—142no—
520C22×C4—142no—
521C22×C4—142no—
522C22×C4—142no—
523C22×C4—142no—
524C22×C4—141no—
525C22×C4—142no—
526C22×C4—142no—
527C22×C4—142no—
528C22×C4—142no—
529C22×C4—142no—
530C22×C4—142no—
531C22×C4—142no—
532C22×C4—284no—
533C22×C4—288no—
534C22×C4—288no—
535C22×C4C2×C4×D712yes—
536C22×C4C2×C4×D712yes—
537C22×C4D4×D714yes—
538C22×C4C2×C22⋊D714yes—
539C4⋊C4—48no—
540C4⋊C4—716no—
541C4⋊C4—148no—
542C4⋊C4—148no—
543C4⋊C4—148no—
544C4⋊C4—288no—
545C4⋊C4—288no—
546C22⋊C4—28no—
547C22⋊C4—44no—
548C22⋊C4—148no—
549C22⋊C4—284no—
550C42—288no—
551C2×C7—28no—
552C2×C7C2×#38011yescharacteristic
553C2×C7C2×#38911yescharacteristic
554C2×C7#231611yescharacteristic
555C2×C7D4×C22⋊C411yescharacteristic
556C2×C7Q8×C22⋊C411yescharacteristic
557C2×C7#234411yescharacteristic
558C2×C7#234511yescharacteristic
559C2×C7#241612yes—
560C2×C7#241712yes—
561C2×C7#244012yes—
562C2×C7#244212yes—
563C23—22no—
564C23—22no—
565C23—24no—
566C23—22no—
567C23—22no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23#645014yes—
580C23#645214yes—
581C23D7×C4⋊C414yes—
582C23#645914yes—
583C23C4×C22⋊D714yes—
584C23#650214yes—
585C23#650714yes—
586C23C22×C4×D711yescharacteristic
587C23C2×#115711yescharacteristic
588C23C2×D4×D712yes—
589C23C2×D4×D711yescharacteristic
590C23C2×#115911yescharacteristic
591C23#654812yes—
592C23C2×Q8×D711yescharacteristic
593C23C2×Q8×D711yescharacteristic
594C23D7×#4112yes—
595C23#655412yes—
596C23C22×C22⋊D711yescharacteristic
597C2×C4—22no—
598C2×C4—24no—
599C2×C4—22no—
600C2×C4—24no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—416no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—74no—
622C2×C4—74no—
623C2×C4—74no—
624C2×C4—78no—
625C2×C4—78no—
626C2×C4—74no—
627C2×C4—74no—
628C2×C4—1432no—
629C2×C4—142no—
630C2×C4—142no—
631C2×C4—144no—
632C2×C4—142no—
633C2×C4—142no—
634C2×C4—144no—
635C2×C4—144no—
636C2×C4—144no—
637C2×C4—142no—
638C2×C4—142no—
639C2×C4—144no—
640C2×C4—142no—
641C2×C4—144no—
642C2×C4—144no—
643C2×C4—2816no—
644C2×C4—282no—
645C2×C4—282no—
646C2×C4—282no—
647C2×C4—282no—
648C2×C4—282no—
649C2×C4—282no—
650C2×C4—282no—
651C2×C4—282no—
652C2×C4—282no—
653C2×C4—282no—
654C2×C4—282no—
655C2×C4—282no—
656C2×C4—282no—
657C2×C4D7×C22⋊C414yes—
658C7#1390711yescharacteristic, complemented, Sylow
659C22—24no—
660C22—28no—
661C22—24no—
662C22—24no—
663C22—24no—
664C22—28no—
665C22—28no—
666C22—24no—
667C22—28no—
668C22—24no—
669C22#8974418yescomplemented
670C22C2×D7×C22⋊C411yescharacteristic
671C22#9017711yescharacteristic
672C22#9018112yes—
673C22C2×#645011yescharacteristic
674C22C2×#645211yescharacteristic
675C22C2×D7×C4⋊C411yescharacteristic
676C22C2×#645911yescharacteristic
677C22#9020711yescharacteristic
678C22D7×#11711yescharacteristic
679C22#9022212yes—
680C22#9028812yes—
681C22#9028912yes—
682C22#9029212yes—
683C22D7×#12112yes—
684C22#9031412yes—
685C22D7×C22⋊Q812yes—
686C22#9032312yes—
687C22#9032712yes—
688C22C2×C4×C22⋊D711yescharacteristic
689C22D4×C22⋊D712yes—
690C22C2×#650211yescharacteristic
691C22C2×#650711yescharacteristic
692C22#9051512yes—
693C4—24no—
694C4—42no—
695C4—44no—
696C4—78no—
697C4—82no—
698C4—144no—
699C4—144no—
700C4—284no—
701C4—282no—
702C4—562no—
703C2—28no—
704C2#1173131411yescharacteristic
705C2#1173132111yescharacteristic
706C2#1173132511yescharacteristic
707C2#1173133412yes—
708C2#1173134712yes—
709C2D7×#38011yescharacteristic
710C2C22⋊C4×C22⋊D711yescharacteristic
711C2C2×#8974411yescharacteristic
712C2#1173968311yescharacteristic
713C2#1174008712yes—
714C2#1174020812yes—
subgroupG/H
center, FrattiniC24C23×D7
commutatorC23×C7C23×C4
FittingC2×C7×#380C2
socle, cosocleC24×C7C24
prime radicalC25×C7C23
hypercenterC2×#380D7
hypocenterC7#13907
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C24 ◁ C2×#380

Complements

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

NH ≅ G/Ntype
3. C2×#89744C2semidirect
8. #11729320C2semidirect
10. #11727163C2semidirect
11. Dic7⋊#95C2semidirect
21. C22×Dic7⋊C4C4semidirect
193. C22×Dic7C4⋊C4semidirect
216. Dic7⋊C4C22⋊C4semidirect
420. C22×C7#389semidirect
453. Dic7#380semidirect
658. C7#13907semidirect
669. C22#89744semidirect

Maximal subgroups

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

subgroupindex
C23×Dic7⋊C42
C2×C7×#3802
C2×#897442
C2×#897142
C2×C22⋊C4×Dic72
#117298812
#117293202
#117292982
#117271632
Dic7⋊#952
#139077