Finite Group Databasebeta

← #13276552

Subgroups — #13276552

Order 1792.

2150 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#385C211yesmaximal, characteristic
2C2×#89982C211yesmaximal, characteristic
3C22×C7⋊#95C211yesmaximal, characteristic
4C2×#89722C211yesmaximal, characteristic
5C2×#89718C211yesmaximal, characteristic
6C2×#89714C211yesmaximal, characteristic
7C2×C22⋊C4×Dic7C211yesmaximal, characteristic
8#11729322C212yesmaximal, complemented
9#11729317C212yesmaximal, complemented
10#11727174C212yesmaximal, 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×C4⋊Dic7C2212yes—
21C22×Dic7⋊C4C2212yes—
22C22×Dic7⋊C4C2212yes—
23C22×Dic7⋊C4C2211yescharacteristic
24C22×Dic7⋊C4C2211yescharacteristic
25C22×C4×Dic7C2212yes—
26C7×#385—24no—
27C2×C7×#95C2212yes—
28#89982—24no—
29C2×C7⋊#95—24no—
30C2×C7⋊#95C2212yes—
31C2×C7⋊#95C2212yes—
32C2×C7⋊#95C2212yes—
33C2×C7⋊#95C2211yescharacteristic
34C2×C7⋊#95C2212yes—
35C2×C7⋊#95C2211yescharacteristic
36C2×C7⋊#95C2212yes—
37C2×C7⋊#95C2212yes—
38#89722—24no—
39#89718—24no—
40#89714—24no—
41C22⋊C4×Dic7C418yescomplemented
42#13965—71nomaximal, Sylow
43C25×C7C2311yescharacteristic
44C23×C4×C7—22no—
45C23×C4×C7—24no—
46C23×C4×C7—22no—
47C23×C4×C7—22no—
48C23×C4×C7—42no—
49C23×C4×C7C2311yescharacteristic
50C23×C4×C7C2311yescharacteristic
51C23×C4×C7C2312yes—
52C23×C4×C7C2312yes—
53C23×Dic7—22no—
54C23×Dic7—24no—
55C23×Dic7—22no—
56C23×Dic7—22no—
57C23×Dic7—42no—
58C23×Dic7—42no—
59C23×Dic7—42no—
60C23×Dic7C2×C414yes—
61C23×Dic7D414yes—
62C23×Dic7Q814yes—
63C23×Dic7C2311yescharacteristic
64C23×Dic7C2311yescharacteristic
65C23×Dic7C2312yes—
66C23×Dic7C2311yescharacteristic
67C23×Dic7C2312yes—
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⋊C4C2×C414yes—
76C2×C7×C22⋊C4D414yes—
77C2×C7×C22⋊C4Q814yes—
78C2×C22⋊Dic7—22no—
79C2×C22⋊Dic7—22no—
80C2×C22⋊Dic7—22no—
81C2×C22⋊Dic7C2×C414yes—
82C2×C22⋊Dic7D414yes—
83C2×C22⋊Dic7Q814yes—
84C2×C4⋊Dic7—24no—
85C2×C4⋊Dic7—24no—
86C2×C4⋊Dic7—42no—
87C2×Dic7⋊C4—24no—
88C2×Dic7⋊C4—22no—
89C2×Dic7⋊C4—22no—
90C2×Dic7⋊C4—24no—
91C2×Dic7⋊C4—24no—
92C2×Dic7⋊C4—24no—
93C2×Dic7⋊C4—42no—
94C2×Dic7⋊C4—42no—
95C2×Dic7⋊C4—42no—
96C2×Dic7⋊C4—42no—
97C2×C4×Dic7—42no—
98C2×C4×Dic7—42no—
99C2×C4×Dic7C2×C418yescomplemented
100C7×#95—24no—
101C7⋊#95—24no—
102C7⋊#95—22no—
103C7⋊#95—22no—
104C7⋊#95—24no—
105C7⋊#95—24no—
106C7⋊#95—24no—
107C7⋊#95—24no—
108C7⋊#95C2×C418yescomplemented
109C2×#385—71no—
110C2×#385—71no—
111C2×#385—71no—
112C2×#385D711yescharacteristic
113C2×#380—71no—
114C2×C4×C22⋊C4—71no—
115C22×#95—71no—
116#1444—72no—
117#1444—72no—
118C4⋊#95—72no—
119C4⋊#95—72no—
120C24×C7—22no—
121C24×C7—22no—
122C24×C7—22no—
123C24×C7—22no—
124C24×C7C22×C412yes—
125C24×C7C2×D412yes—
126C24×C7C2×D412yes—
127C24×C7C2×D412yes—
128C24×C7C2×Q812yes—
129C24×C7C2×Q812yes—
130C24×C7C2×Q812yes—
131C24×C7C2411yescharacteristic
132C22×C4×C7—22no—
133C22×C4×C7—22no—
134C22×C4×C7—22no—
135C22×C4×C7—22no—
136C22×C4×C7—28no—
137C22×C4×C7—22no—
138C22×C4×C7—22no—
139C22×C4×C7—22no—
140C22×C4×C7—22no—
141C22×C4×C7—22no—
142C22×C4×C7—22no—
143C22×C4×C7—21no—
144C22×C4×C7—21no—
145C22×C4×C7—21no—
146C22×C4×C7—21no—
147C22×C4×C7—21no—
148C22×C4×C7—21no—
149C22×C4×C7—22no—
150C22×C4×C7—22no—
151C22×C4×C7—22no—
152C22×C4×C7—22no—
153C22×C4×C7—48no—
154C22×C4×C7—48no—
155C22×C4×C7—44no—
156C22×C4×C7—44no—
157C22×C4×C7C22×C414yes—
158C22×C4×C7C2×D414yes—
159C22×C4×C7C2×Q814yes—
160C22×C4×C7#4114yes—
161C22×Dic7—22no—
162C22×Dic7—22no—
163C22×Dic7—22no—
164C22×Dic7—22no—
165C22×Dic7—22no—
166C22×Dic7—22no—
167C22×Dic7—22no—
168C22×Dic7—22no—
169C22×Dic7—28no—
170C22×Dic7—22no—
171C22×Dic7—22no—
172C22×Dic7—22no—
173C22×Dic7—22no—
174C22×Dic7—22no—
175C22×Dic7—22no—
176C22×Dic7—21no—
177C22×Dic7—21no—
178C22×Dic7—21no—
179C22×Dic7—21no—
180C22×Dic7—21no—
181C22×Dic7—21no—
182C22×Dic7—22no—
183C22×Dic7—22no—
184C22×Dic7—22no—
185C22×Dic7—22no—
186C22×Dic7—48no—
187C22×Dic7—44no—
188C22×Dic7—44no—
189C22×Dic7—48no—
190C22×Dic7—48no—
191C22×Dic7—48no—
192C22×Dic7—44no—
193C22×Dic7—44no—
194C22×Dic7C4⋊C4116yescomplemented
195C22×Dic7C22×C412yes—
196C22×Dic7C22×C414yes—
197C22×Dic7C22×C412yes—
198C22×Dic7C2×D412yes—
199C22×Dic7C2×D414yes—
200C22×Dic7C2×D412yes—
201C22×Dic7C2×Q814yes—
202C22×Dic7C2×Q812yes—
203C22×Dic7C2×Q812yes—
204C22×Dic7#4114yes—
205C7×C4⋊C4—48no—
206C7×C22⋊C4—44no—
207C7×C22⋊C4C4⋊C4116yescomplemented
208C22⋊Dic7—44no—
209C22⋊Dic7C4⋊C4116yescomplemented
210C4⋊Dic7—48no—
211Dic7⋊C4—48no—
212Dic7⋊C4—48no—
213Dic7⋊C4—44no—
214Dic7⋊C4—44no—
215C4×Dic7—48no—
216C24×C4—71no—
217C24×C4—71no—
218C24×C4C2×D711yescharacteristic
219C22×C4⋊C4—72no—
220C22×C4⋊C4—72no—
221C22×C4⋊C4—72no—
222C22×C4⋊C4—71no—
223C22×C4⋊C4—71no—
224C22×C4⋊C4C2×D712yes—
225C22×C22⋊C4—71no—
226C22×C22⋊C4—71no—
227C22×C22⋊C4C2×D711yescharacteristic
228C22×C22⋊C4C2×D711yescharacteristic
229C22×C42—72no—
230#385—24no—
231#385—144no—
232#385—144no—
233#385—144no—
234#380—144no—
235C4×C22⋊C4—78no—
236C2×#95—72no—
237C2×#95—72no—
238C2×#95—71no—
239C2×#95—71no—
240C2×#95—72no—
241C2×#95—72no—
242C2×#95—72no—
243C2×#95—72no—
244C2×#95—144no—
245C2×#95C2×D712yes—
246C23×C7—24no—
247C23×C7—24no—
248C23×C7—22no—
249C23×C7—22no—
250C23×C7—24no—
251C23×C7—22no—
252C23×C7—22no—
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×C7C2×C4⋊C414yes—
263C23×C7C2×C4⋊C414yes—
264C23×C7C2×C4⋊C414yes—
265C23×C7#12714yes—
266C23×C7C4⋊Q814yes—
267C23×C7C4⋊Q814yes—
268C23×C7C4⋊Q814yes—
269C23×C7C23×C411yescharacteristic
270C23×C7C22×D411yescharacteristic
271C23×C7C22×D411yescharacteristic
272C23×C7C22×D411yescharacteristic
273C23×C7C22×Q811yescharacteristic
274C23×C7C22×Q811yescharacteristic
275C23×C7C22×Q811yescharacteristic
276C23×C7C2×#4112yes—
277C23×C7C2×#4112yes—
278C23×C7H(5,𝔽2)12yes—
279C23×C7H(5,𝔽2)12yes—
280C2×C4×C7—24no—
281C2×C4×C7—24no—
282C2×C4×C7—24no—
283C2×C4×C7—24no—
284C2×C4×C7—24no—
285C2×C4×C7—24no—
286C2×C4×C7—24no—
287C2×C4×C7—24no—
288C2×C4×C7—24no—
289C2×C4×C7—416no—
290C2×C4×C7—42no—
291C2×C4×C7—42no—
292C2×C4×C7—42no—
293C2×C4×C7—42no—
294C2×C4×C7—41no—
295C2×C4×C7—41no—
296C2×C4×C7—41no—
297C2×C4×C7—41no—
298C2×C4×C7—41no—
299C2×C4×C7—41no—
300C2×C4×C7—42no—
301C2×C4×C7—42no—
302C2×C4×C7—42no—
303C2×C4×C7—42no—
304C2×C4×C7C2×C4⋊C418yes—
305C2×Dic7—24no—
306C2×Dic7—24no—
307C2×Dic7—24no—
308C2×Dic7—24no—
309C2×Dic7—22no—
310C2×Dic7—22no—
311C2×Dic7—22no—
312C2×Dic7—22no—
313C2×Dic7—24no—
314C2×Dic7—24no—
315C2×Dic7—24no—
316C2×Dic7—24no—
317C2×Dic7—24no—
318C2×Dic7—24no—
319C2×Dic7—24no—
320C2×Dic7—24no—
321C2×Dic7—24no—
322C2×Dic7—416no—
323C2×Dic7—416no—
324C2×Dic7—42no—
325C2×Dic7—42no—
326C2×Dic7—42no—
327C2×Dic7—42no—
328C2×Dic7—41no—
329C2×Dic7—41no—
330C2×Dic7—41no—
331C2×Dic7—41no—
332C2×Dic7—41no—
333C2×Dic7—41no—
334C2×Dic7—42no—
335C2×Dic7—42no—
336C2×Dic7—42no—
337C2×Dic7—42no—
338C2×Dic7C2×C4⋊C418yes—
339C2×Dic7C2×C4⋊C414yes—
340C2×Dic7C2×C4⋊C414yes—
341C25C22×D711yescharacteristic
342C23×C4—22no—
343C23×C4—24no—
344C23×C4—22no—
345C23×C4—22no—
346C23×C4—42no—
347C23×C4—72no—
348C23×C4—71no—
349C23×C4—71no—
350C23×C4—74no—
351C23×C4—74no—
352C23×C4—74no—
353C23×C4—72no—
354C23×C4—71no—
355C23×C4—71no—
356C23×C4—144no—
357C23×C4—142no—
358C23×C4—142no—
359C23×C4—142no—
360C23×C4—282no—
361C23×C4—282no—
362C23×C4—282no—
363C23×C4C22×D711yescharacteristic
364C23×C4C22×D711yescharacteristic
365C23×C4C22×D712yes—
366C23×C4C22×D712yes—
367C2×C4⋊C4—24no—
368C2×C4⋊C4—24no—
369C2×C4⋊C4—42no—
370C2×C4⋊C4—144no—
371C2×C4⋊C4—142no—
372C2×C4⋊C4—142no—
373C2×C4⋊C4—144no—
374C2×C4⋊C4—144no—
375C2×C4⋊C4—144no—
376C2×C4⋊C4—144no—
377C2×C4⋊C4—144no—
378C2×C4⋊C4—282no—
379C2×C4⋊C4—282no—
380C2×C4⋊C4—282no—
381C2×C4⋊C4—282no—
382C2×C4⋊C4—282no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—74no—
387C2×C22⋊C4—74no—
388C2×C22⋊C4—74no—
389C2×C22⋊C4—142no—
390C2×C22⋊C4—142no—
391C2×C22⋊C4—142no—
392C2×C22⋊C4Dic1414yes—
393C2×C22⋊C4C4×D714yes—
394C2×C22⋊C4C22⋊D714yes—
395C2×C42—78no—
396C2×C42—282no—
397C2×C42—282no—
398#95—24no—
399#95—78no—
400#95—144no—
401#95—144no—
402#95—142no—
403#95—142no—
404#95—144no—
405#95—144no—
406#95—144no—
407C22×C7—24no—
408C22×C7—24no—
409C22×C7—24no—
410C22×C7—28no—
411C22×C7—28no—
412C22×C7—24no—
413C22×C7—24no—
414C22×C7—28no—
415C22×C7—28no—
416C22×C7—24no—
417C22×C7#38418yes—
418C22×C7C22×C4⋊C411yescharacteristic
419C22×C7C22×C4⋊C411yescharacteristic
420C22×C7C22×C4⋊C411yescharacteristic
421C22×C7C4×#4112yes—
422C22×C7#51812yes—
423C22×C7#52511yescharacteristic
424C22×C7#52511yescharacteristic
425C22×C7C2×#12711yescharacteristic
426C22×C7C2×C4⋊Q811yescharacteristic
427C22×C7C2×C4⋊Q811yescharacteristic
428C22×C7C2×C4⋊Q811yescharacteristic
429C22×C7#53312yes—
430C22×C7#53411yescharacteristic
431C22×C7#53411yescharacteristic
432C22×C7#54312yes—
433C22×C7#54612yes—
434C22×C7#54612yes—
435C22×C7#54612yes—
436C22×C7#54612yes—
437C22×C7#55412yes—
438C22×C7#55412yes—
439C22×C7#55412yes—
440C22×C7#55412yes—
441C4×C7—28no—
442C4×C7—44no—
443C4×C7—81no—
444C4×C7—81no—
445Dic7—24no—
446Dic7—24no—
447Dic7—28no—
448Dic7—44no—
449Dic7—81no—
450Dic7—81no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—22no—
455C24C2×Dic1412yes—
456C24C2×C4×D712yes—
457C24D4×D712yes—
458C24D4×D712yes—
459C24Q8×D712yes—
460C24Q8×D712yes—
461C24C2×C22⋊D712yes—
462C24C23×D711yescharacteristic
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—28no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—48no—
485C22×C4—48no—
486C22×C4—44no—
487C22×C4—44no—
488C22×C4—72no—
489C22×C4—74no—
490C22×C4—72no—
491C22×C4—72no—
492C22×C4—74no—
493C22×C4—72no—
494C22×C4—74no—
495C22×C4—72no—
496C22×C4—72no—
497C22×C4—716no—
498C22×C4—74no—
499C22×C4—142no—
500C22×C4—142no—
501C22×C4—142no—
502C22×C4—142no—
503C22×C4—142no—
504C22×C4—142no—
505C22×C4—142no—
506C22×C4—142no—
507C22×C4—148no—
508C22×C4—142no—
509C22×C4—142no—
510C22×C4—142no—
511C22×C4—142no—
512C22×C4—142no—
513C22×C4—142no—
514C22×C4—141no—
515C22×C4—141no—
516C22×C4—141no—
517C22×C4—141no—
518C22×C4—142no—
519C22×C4—142no—
520C22×C4—142no—
521C22×C4—142no—
522C22×C4—141no—
523C22×C4—141no—
524C22×C4—288no—
525C22×C4—284no—
526C22×C4—288no—
527C22×C4—284no—
528C22×C4—288no—
529C22×C4—288no—
530C22×C4—284no—
531C22×C4—284no—
532C22×C4C2×Dic1414yes—
533C22×C4C2×C4×D714yes—
534C22×C4#115914yes—
535C22×C4C2×C22⋊D714yes—
536C4⋊C4—48no—
537C4⋊C4—288no—
538C4⋊C4—288no—
539C4⋊C4—288no—
540C4⋊C4—284no—
541C4⋊C4—284no—
542C22⋊C4—44no—
543C22⋊C4—716no—
544C22⋊C4—284no—
545C22⋊C4Dic7⋊C4116yescomplemented
546C42—288no—
547C2×C7—28no—
548C2×C7C2×#38411yescharacteristic
549C2×C7#229611yescharacteristic
550C2×C7#231511yescharacteristic
551C2×C7#234912yes—
552C2×C7#234912yes—
553C2×C7#253911yescharacteristic
554C2×C7#253911yescharacteristic
555C2×C7#254912yes—
556C2×C7#254912yes—
557C2×C7#258311yescharacteristic
558C2×C7#258311yescharacteristic
559C23—24no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—22no—
566C23—22no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—22no—
573C23—24no—
574C23—22no—
575C23#645114yes—
576C23#645114yes—
577C23D7×C4⋊C414yes—
578C23D7×C4⋊C414yes—
579C23C2×Dic7⋊C414yes—
580C23#650314yes—
581C23#650714yes—
582C23C22×Dic1411yescharacteristic
583C23C22×C4×D711yescharacteristic
584C23C2×D4×D711yescharacteristic
585C23C2×D4×D711yescharacteristic
586C23C2×#115912yes—
587C23#654812yes—
588C23C2×Q8×D711yescharacteristic
589C23C2×Q8×D711yescharacteristic
590C23D7×#4112yes—
591C23#655312yes—
592C23C22×C22⋊D711yescharacteristic
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—416no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—42no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—78no—
618C2×C4—74no—
619C2×C4—74no—
620C2×C4—144no—
621C2×C4—144no—
622C2×C4—144no—
623C2×C4—144no—
624C2×C4—142no—
625C2×C4—142no—
626C2×C4—144no—
627C2×C4—144no—
628C2×C4—144no—
629C2×C4—144no—
630C2×C4—144no—
631C2×C4—142no—
632C2×C4—142no—
633C2×C4—144no—
634C2×C4—144no—
635C2×C4—144no—
636C2×C4—144no—
637C2×C4—2816no—
638C2×C4—2816no—
639C2×C4—282no—
640C2×C4—282no—
641C2×C4—282no—
642C2×C4—282no—
643C2×C4—281no—
644C2×C4—281no—
645C2×C4—282no—
646C2×C4—282no—
647C2×C4—281no—
648C2×C4—281no—
649C2×C4—282no—
650C2×C4—281no—
651C2×C4—282no—
652C2×C4—281no—
653C2×C4C2×Dic7⋊C418yes—
654C7#1396511yescharacteristic, complemented, Sylow
655C22—28no—
656C22—24no—
657C22—24no—
658C22—28no—
659C22—28no—
660C22—24no—
661C22—24no—
662C22—28no—
663C22—24no—
664C22—24no—
665C22#8974818yes—
666C22C2×#645111yescharacteristic
667C22C2×#645111yescharacteristic
668C22C2×D7×C4⋊C411yescharacteristic
669C22C2×D7×C4⋊C411yescharacteristic
670C22C4×#115912yes—
671C22#9023012yes—
672C22#9023412yes—
673C22#9023612yes—
674C22#9027711yescharacteristic
675C22#9028011yescharacteristic
676C22#9028212yes—
677C22#9031312yes—
678C22#9032512yes—
679C22#9032612yes—
680C22#9032712yes—
681C22#9034411yescharacteristic
682C22#9034512yes—
683C22#9034711yescharacteristic
684C22C22×Dic7⋊C411yescharacteristic
685C22C2×#650311yescharacteristic
686C22#9049712yes—
687C22C2×#650711yescharacteristic
688C22#9052012yes—
689C4—28no—
690C4—44no—
691C4—81no—
692C4—81no—
693C4—144no—
694C4—144no—
695C4—148no—
696C4—284no—
697C4—561no—
698C4—561no—
699C2—28no—
700C2#1173182311yescharacteristic
701C2#1173183912yes—
702C2#1173191712yes—
703C2#1173193311yescharacteristic
704C2#1173193411yescharacteristic
705C2#1173203611yescharacteristic
706C2C2×#8974811yescharacteristic
707C2#1173977912yes—
708C2#1174003611yescharacteristic
709C2#1174022612yes—
710C2#1174034611yescharacteristic
subgroupG/H
center, FrattiniC24C23×D7
commutatorC23×C7C23×C4
FittingC2×C7×#385C2
socle, cosocleC24×C7C24
prime radicalC25×C7C23
hypercenterC2×#385D7
hypocenterC7#13965
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C24 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
8. #11729322C2semidirect
9. #11729317C2semidirect
10. #11727174C2semidirect
11. Dic7⋊#95C2semidirect
41. C22⋊C4×Dic7C4semidirect
99. C2×C4×Dic7C2×C4semidirect
108. C7⋊#95C2×C4semidirect
194. C22×Dic7C4⋊C4semidirect
207. C7×C22⋊C4C4⋊C4semidirect
209. C22⋊Dic7C4⋊C4semidirect
545. C22⋊C4Dic7⋊C4semidirect
654. C7#13965semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#3852
C2×#899822
C22×C7⋊#952
C2×#897222
C2×#897182
C2×#897142
C2×C22⋊C4×Dic72
#117293222
#117293172
#117271742
Dic7⋊#952
#139657