Finite Group Databasebeta

← #13277494

Subgroups — #13277494

Order 1792.

2366 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×Dic7⋊C4C211yesmaximal, characteristic
2C2×C4×C7×C22⋊C4C211yesmaximal, characteristic
3C2×#89982C211yesmaximal, characteristic
4C2×#89722C211yesmaximal, characteristic
5C2×#89722C211yesmaximal, characteristic
6C2×#89700C212yesmaximal, complemented
7#11729298C211yesmaximal, characteristic
8#11729298C211yesmaximal, characteristic
9#11729290C212yesmaximal, complemented
10#11727174C212yesmaximal, complemented
11#11727165C212yesmaximal, complemented
12C24×C4×C7C2211yescharacteristic
13C24×Dic7C2211yescharacteristic
14C24×Dic7C2211yescharacteristic
15C22×C7×C22⋊C4C2211yescharacteristic
16C22×C7×C22⋊C4C2211yescharacteristic
17C22×C42×C7C2212yes—
18C22×C22⋊Dic7C2211yescharacteristic
19C22×C22⋊Dic7C2211yescharacteristic
20C22×C4⋊Dic7C2212yes—
21C22×C4⋊Dic7C2212yes—
22C22×Dic7⋊C4—24no—
23C22×Dic7⋊C4—28no—
24C22×Dic7⋊C4C2212yes—
25C22×Dic7⋊C4C2211yescharacteristic
26C22×Dic7⋊C4C2212yes—
27C22×Dic7⋊C4C2211yescharacteristic
28C4×C7×C22⋊C4—24no—
29C2×C7×#95C2212yes—
30#89982—24no—
31C2×C7⋊#95C2211yescharacteristic
32C2×C7⋊#95C2211yescharacteristic
33C2×C7⋊#95C2212yes—
34C2×C7⋊#95C2212yes—
35C2×C7⋊#95C2212yes—
36C2×C7⋊#95C2212yes—
37C2×C7⋊#95C2212yes—
38C2×C7⋊#95C2212yes—
39#89722—24no—
40#89722C418yescomplemented
41#89700—28no—
42#14043—71nomaximal, Sylow
43C25×C7C2311yescharacteristic
44C23×C4×C7—22no—
45C23×C4×C7—22no—
46C23×C4×C7—24no—
47C23×C4×C7—42no—
48C23×C4×C7D414yes—
49C23×C4×C7C2311yescharacteristic
50C23×C4×C7C2312yes—
51C23×C4×C7C2312yes—
52C23×C4×C7C2311yescharacteristic
53C23×Dic7—22no—
54C23×Dic7—22no—
55C23×Dic7—24no—
56C23×Dic7—24no—
57C23×Dic7—22no—
58C23×Dic7—24no—
59C23×Dic7—22no—
60C23×Dic7—22no—
61C23×Dic7—42no—
62C23×Dic7C2×C414yes—
63C23×Dic7C2311yescharacteristic
64C23×Dic7C2311yescharacteristic
65C23×Dic7C2311yescharacteristic
66C23×Dic7C2311yescharacteristic
67C23×Dic7C2312yes—
68C23×Dic7C2312yes—
69C2×C7×C22⋊C4—22no—
70C2×C7×C22⋊C4—22no—
71C2×C7×C22⋊C4C2×C414yes—
72C2×C7×C22⋊C4D414yes—
73C2×C7×C22⋊C4Q814yes—
74C2×C7×C22⋊C4Q814yes—
75C2×C42×C7—24no—
76C2×C42×C7—24no—
77C2×C42×C7—42no—
78C2×C22⋊Dic7—22no—
79C2×C22⋊Dic7—22no—
80C2×C22⋊Dic7—22no—
81C2×C22⋊Dic7—22no—
82C2×C22⋊Dic7—22no—
83C2×C22⋊Dic7C2×C414yes—
84C2×C4⋊Dic7—24no—
85C2×C4⋊Dic7—24no—
86C2×C4⋊Dic7—24no—
87C2×C4⋊Dic7—24no—
88C2×C4⋊Dic7—42no—
89C2×C4⋊Dic7C2×C418yescomplemented
90C2×Dic7⋊C4—232no—
91C2×Dic7⋊C4—24no—
92C2×Dic7⋊C4—24no—
93C2×Dic7⋊C4—24no—
94C2×Dic7⋊C4—24no—
95C2×Dic7⋊C4—24no—
96C2×Dic7⋊C4—24no—
97C2×Dic7⋊C4—22no—
98C2×Dic7⋊C4—22no—
99C2×Dic7⋊C4—42no—
100C2×Dic7⋊C4D418yes—
101C7×#95—24no—
102C7⋊#95—24no—
103C7⋊#95—22no—
104C7⋊#95—22no—
105C7⋊#95—24no—
106C7⋊#95—24no—
107C7⋊#95—24no—
108C7⋊#95—42no—
109C7⋊#95C2×C418yescomplemented
110C23×C4⋊C4—71no—
111C2×#389—72no—
112C2×#385—71no—
113C2×#385—71no—
114C2×#385—71no—
115C2×C4×C22⋊C4D711yescharacteristic
116#1444—72no—
117#1441—72no—
118#1436—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—22no—
134C22×C4×C7—21no—
135C22×C4×C7—22no—
136C22×C4×C7—21no—
137C22×C4×C7—22no—
138C22×C4×C7—22no—
139C22×C4×C7—22no—
140C22×C4×C7—28no—
141C22×C4×C7—22no—
142C22×C4×C7—21no—
143C22×C4×C7—22no—
144C22×C4×C7—22no—
145C22×C4×C7—22no—
146C22×C4×C7—22no—
147C22×C4×C7—21no—
148C22×C4×C7—22no—
149C22×C4×C7—22no—
150C22×C4×C7—22no—
151C22×C4×C7—28no—
152C22×C4×C7—44no—
153C22×C4×C7—48no—
154C22×C4×C7—48no—
155C22×C4×C7C22×C414yes—
156C22×C4×C7C2×D412yes—
157C22×C4×C7C2×D414yes—
158C22×C4×C7C2×D412yes—
159C22×C4×C7C2×D414yes—
160C22×C4×C7C2×Q814yes—
161C22×C4×C7C2×Q814yes—
162C22×Dic7—28no—
163C22×Dic7—216no—
164C22×Dic7—28no—
165C22×Dic7—28no—
166C22×Dic7—22no—
167C22×Dic7—22no—
168C22×Dic7—22no—
169C22×Dic7—22no—
170C22×Dic7—216no—
171C22×Dic7—28no—
172C22×Dic7—22no—
173C22×Dic7—21no—
174C22×Dic7—21no—
175C22×Dic7—22no—
176C22×Dic7—22no—
177C22×Dic7—22no—
178C22×Dic7—22no—
179C22×Dic7—21no—
180C22×Dic7—21no—
181C22×Dic7—22no—
182C22×Dic7—22no—
183C22×Dic7—22no—
184C22×Dic7—22no—
185C22×Dic7—22no—
186C22×Dic7—21no—
187C22×Dic7—21no—
188C22×Dic7—22no—
189C22×Dic7—21no—
190C22×Dic7—21no—
191C22×Dic7—22no—
192C22×Dic7—21no—
193C22×Dic7—21no—
194C22×Dic7—22no—
195C22×Dic7—22no—
196C22×Dic7—48no—
197C22×Dic7—48no—
198C22×Dic7—44no—
199C22×Dic7—44no—
200C22×Dic7C22×C412yes—
201C22×Dic7C22×C412yes—
202C22×Dic7C22×C414yes—
203C22×Dic7C2×D414yes—
204C22×Dic7C2×D414yes—
205C22×Dic7#4114yes—
206C7×C22⋊C4—28no—
207C7×C22⋊C4C4⋊C4116yescomplemented
208C42×C7—48no—
209C22⋊Dic7—28no—
210C22⋊Dic7—44no—
211C4⋊Dic7—216no—
212C4⋊Dic7—48no—
213Dic7⋊C4—216no—
214Dic7⋊C4—216no—
215Dic7⋊C4—44no—
216Dic7⋊C4—44no—
217C24×C4—71no—
218C24×C4—71no—
219C24×C4C2×D711yescharacteristic
220C22×C4⋊C4—72no—
221C22×C4⋊C4—72no—
222C22×C4⋊C4—72no—
223C22×C4⋊C4—71no—
224C22×C4⋊C4—72no—
225C22×C4⋊C4—71no—
226C22×C4⋊C4—148no—
227C22×C4⋊C4—144no—
228C22×C22⋊C4—71no—
229C22×C22⋊C4—71no—
230C22×C22⋊C4C2×D711yescharacteristic
231C22×C22⋊C4C2×D711yescharacteristic
232C22×C42C2×D712yes—
233#389—148no—
234#385—78no—
235#385—144no—
236#385—144no—
237C4×C22⋊C4—24no—
238C2×#95—72no—
239C2×#95—72no—
240C2×#95—72no—
241C2×#95—72no—
242C2×#95—71no—
243C2×#95—72no—
244C2×#95—71no—
245C2×#95—72no—
246C2×#95C2×D712yes—
247C23×C7—24no—
248C23×C7—24no—
249C23×C7—22no—
250C23×C7—22no—
251C23×C7—24no—
252C23×C7—22no—
253C23×C7—22no—
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×C7C2×C4⋊C414yes—
264C23×C7C4×D414yes—
265C23×C7C4×Q814yes—
266C23×C7#12114yes—
267C23×C7C22⋊Q814yes—
268C23×C7#12514yes—
269C23×C7C4⋊Q814yes—
270C23×C7C23×C411yescharacteristic
271C23×C7C22×D411yescharacteristic
272C23×C7C22×D412yes—
273C23×C7C22×D411yescharacteristic
274C23×C7C22×Q811yescharacteristic
275C23×C7C22×Q811yescharacteristic
276C23×C7C2×#4111yescharacteristic
277C23×C7C2×#4111yescharacteristic
278C23×C7C2×#4112yes—
279C23×C7H(5,𝔽2)12yes—
280C23×C72−1+412yes—
281C2×C4×C7—24no—
282C2×C4×C7—24no—
283C2×C4×C7—22no—
284C2×C4×C7—22no—
285C2×C4×C7—24no—
286C2×C4×C7—24no—
287C2×C4×C7—24no—
288C2×C4×C7—24no—
289C2×C4×C7—24no—
290C2×C4×C7—24no—
291C2×C4×C7—22no—
292C2×C4×C7—22no—
293C2×C4×C7—24no—
294C2×C4×C7—22no—
295C2×C4×C7—24no—
296C2×C4×C7—24no—
297C2×C4×C7—416no—
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×C7C2×C4⋊C418yescomplemented
305C2×C4×C7#12014yes—
306C2×Dic7—232no—
307C2×Dic7—24no—
308C2×Dic7—24no—
309C2×Dic7—24no—
310C2×Dic7—24no—
311C2×Dic7—24no—
312C2×Dic7—24no—
313C2×Dic7—24no—
314C2×Dic7—22no—
315C2×Dic7—22no—
316C2×Dic7—24no—
317C2×Dic7—24no—
318C2×Dic7—24no—
319C2×Dic7—24no—
320C2×Dic7—416no—
321C2×Dic7—41no—
322C2×Dic7—42no—
323C2×Dic7—41no—
324C2×Dic7—42no—
325C2×Dic7—41no—
326C2×Dic7—42no—
327C2×Dic7—41no—
328C2×Dic7—42no—
329C2×Dic7—42no—
330C2×Dic7—42no—
331C2×Dic7—41no—
332C2×Dic7—41no—
333C2×Dic7—41no—
334C2×Dic7—41no—
335C2×Dic7—41no—
336C2×Dic7—41no—
337C2×Dic7—42no—
338C2×Dic7—42no—
339C2×Dic7—42no—
340C2×Dic7—42no—
341C2×Dic7C4×D418yes—
342C25C22×D711yescharacteristic
343C23×C4—22no—
344C23×C4—22no—
345C23×C4—24no—
346C23×C4—42no—
347C23×C4—72no—
348C23×C4—74no—
349C23×C4—71no—
350C23×C4—71no—
351C23×C4—72no—
352C23×C4—71no—
353C23×C4—71no—
354C23×C4—144no—
355C23×C4—144no—
356C23×C4—144no—
357C23×C4—142no—
358C23×C4—142no—
359C23×C4—142no—
360C23×C4—142no—
361C23×C4—142no—
362C23×C4—282no—
363C23×C4D2814yes—
364C23×C4C22×D712yes—
365C23×C4C22×D711yescharacteristic
366C23×C4C22×D712yes—
367C23×C4C22×D711yescharacteristic
368C2×C4⋊C4—78no—
369C2×C4⋊C4—78no—
370C2×C4⋊C4—144no—
371C2×C4⋊C4—144no—
372C2×C4⋊C4—144no—
373C2×C4⋊C4—144no—
374C2×C4⋊C4—1432no—
375C2×C4⋊C4—144no—
376C2×C4⋊C4—144no—
377C2×C4⋊C4—144no—
378C2×C4⋊C4—144no—
379C2×C4⋊C4—142no—
380C2×C4⋊C4—142no—
381C2×C4⋊C4—144no—
382C2×C4⋊C4—144no—
383C2×C4⋊C4—282no—
384C2×C4⋊C4—282no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—74no—
388C2×C22⋊C4—142no—
389C2×C22⋊C4—142no—
390C2×C22⋊C4—142no—
391C2×C22⋊C4—142no—
392C2×C22⋊C4—142no—
393C2×C22⋊C4Dic1414yes—
394C2×C22⋊C4Dic1414yes—
395C2×C22⋊C4C4×D714yes—
396C2×C22⋊C4C22⋊D714yes—
397C2×C42—24no—
398C2×C42—24no—
399C2×C42—42no—
400#95—24no—
401#95—78no—
402#95—144no—
403#95—144no—
404#95—144no—
405#95—142no—
406#95—142no—
407#95—144no—
408#95—282no—
409C22×C7—24no—
410C22×C7—24no—
411C22×C7—28no—
412C22×C7—28no—
413C22×C7—24no—
414C22×C7—24no—
415C22×C7—24no—
416C22×C7—28no—
417C22×C7—28no—
418C22×C7—24no—
419C22×C7#38918yescomplemented
420C22×C7C22×C4⋊C411yescharacteristic
421C22×C7C2×C4×D411yescharacteristic
422C22×C7C2×C4×D412yes—
423C22×C7C2×C4×Q811yescharacteristic
424C22×C7#52012yes—
425C22×C7C2×#12011yescharacteristic
426C22×C7C2×#12111yescharacteristic
427C22×C7C2×C22⋊Q811yescharacteristic
428C22×C7#52511yescharacteristic
429C22×C7#52512yes—
430C22×C7C2×#12511yescharacteristic
431C22×C7C2×C4⋊Q811yescharacteristic
432C22×C7#53411yescharacteristic
433C22×C7#53611yescharacteristic
434C22×C7#53912yes—
435C22×C7D4212yes—
436C22×C7#54612yes—
437C22×C7#54712yes—
438C22×C7D4×Q812yes—
439C22×C7D4×Q812yes—
440C22×C7#55212yes—
441C22×C7#55412yes—
442C22×C7#55412yes—
443C4×C7—28no—
444C4×C7—24no—
445C4×C7—42no—
446C4×C7—44no—
447Dic7—28no—
448Dic7—42no—
449Dic7—44no—
450Dic7—42no—
451Dic7—81no—
452Dic7—81no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24C2×Dic1412yes—
458C24C2×Dic1412yes—
459C24C2×C4×D712yes—
460C24C2×D2812yes—
461C24#115712yes—
462C24#115712yes—
463C24C2×C22⋊D712yes—
464C24C23×D711yescharacteristic
465C22×C4—21no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—21no—
472C22×C4—28no—
473C22×C4—22no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—28no—
484C22×C4—44no—
485C22×C4—48no—
486C22×C4—48no—
487C22×C4—74no—
488C22×C4—74no—
489C22×C4—74no—
490C22×C4—72no—
491C22×C4—72no—
492C22×C4—74no—
493C22×C4—1416no—
494C22×C4—148no—
495C22×C4—148no—
496C22×C4—1416no—
497C22×C4—148no—
498C22×C4—142no—
499C22×C4—142no—
500C22×C4—142no—
501C22×C4—142no—
502C22×C4—148no—
503C22×C4—141no—
504C22×C4—141no—
505C22×C4—142no—
506C22×C4—141no—
507C22×C4—141no—
508C22×C4—142no—
509C22×C4—142no—
510C22×C4—142no—
511C22×C4—142no—
512C22×C4—142no—
513C22×C4—142no—
514C22×C4—142no—
515C22×C4—142no—
516C22×C4—142no—
517C22×C4—141no—
518C22×C4—141no—
519C22×C4—141no—
520C22×C4—141no—
521C22×C4—142no—
522C22×C4—142no—
523C22×C4—142no—
524C22×C4—142no—
525C22×C4—141no—
526C22×C4—141no—
527C22×C4—288no—
528C22×C4—288no—
529C22×C4—284no—
530C22×C4—284no—
531C22×C4C2×Dic1414yes—
532C22×C4C2×Dic1414yes—
533C22×C4C2×C4×D714yes—
534C22×C4C2×D2812yes—
535C22×C4C2×D2812yes—
536C22×C4D4×D714yes—
537C22×C4C2×C22⋊D714yes—
538C4⋊C4—1416no—
539C4⋊C4—1416no—
540C4⋊C4—1416no—
541C4⋊C4—288no—
542C4⋊C4—284no—
543C4⋊C4—284no—
544C22⋊C4—28no—
545C22⋊C4—148no—
546C22⋊C4—284no—
547C22⋊C4Dic7⋊C4116yescomplemented
548C42—48no—
549C2×C7—28no—
550C2×C7C2×#38911yescharacteristic
551C2×C7C4×#12011yescharacteristic
552C2×C7#232211yescharacteristic
553C2×C7D4×C4⋊C412yes—
554C2×C7#236012yes—
555C2×C7#241011yescharacteristic
556C2×C7#241311yescharacteristic
557C2×C7#243411yescharacteristic
558C2×C7#244912yes—
559C2×C7#247312yes—
560C2×C7#258311yescharacteristic
561C23—22no—
562C23—24no—
563C23—22no—
564C23—22no—
565C23—22no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23C4×Dic1414yes—
578C23#643214yes—
579C23#643314yes—
580C23C4×D2814yes—
581C23C2×Dic7⋊C414yes—
582C23#648714yes—
583C23#649314yes—
584C23C22×Dic1411yescharacteristic
585C23C22×Dic1411yescharacteristic
586C23C22×C4×D711yescharacteristic
587C23C22×D2811yescharacteristic
588C23C2×#115711yescharacteristic
589C23C2×#115711yescharacteristic
590C23C2×D4×D712yes—
591C23#654812yes—
592C23D7×#4112yes—
593C23#655412yes—
594C23C22×C22⋊D711yescharacteristic
595C2×C4—24no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—22no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—416no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—78no—
619C2×C4—1432no—
620C2×C4—144no—
621C2×C4—144no—
622C2×C4—144no—
623C2×C4—144no—
624C2×C4—144no—
625C2×C4—144no—
626C2×C4—142no—
627C2×C4—142no—
628C2×C4—144no—
629C2×C4—144no—
630C2×C4—144no—
631C2×C4—144no—
632C2×C4—144no—
633C2×C4—2816no—
634C2×C4—281no—
635C2×C4—282no—
636C2×C4—281no—
637C2×C4—282no—
638C2×C4—281no—
639C2×C4—281no—
640C2×C4—282no—
641C2×C4—282no—
642C2×C4—282no—
643C2×C4—282no—
644C2×C4—281no—
645C2×C4—282no—
646C2×C4—281no—
647C2×C4—281no—
648C2×C4—281no—
649C2×C4—282no—
650C2×C4—281no—
651C2×C4—281no—
652C2×C4—282no—
653C2×C4—282no—
654C2×C4#644514yes—
655C2×C4C2×Dic7⋊C418yescomplemented
656C7#1404311yescharacteristic, complemented, Sylow
657C22—28no—
658C22—24no—
659C22—24no—
660C22—24no—
661C22—28no—
662C22—28no—
663C22—24no—
664C22—24no—
665C22—28no—
666C22—24no—
667C22#8970018yescomplemented
668C22C2×C4×Dic1411yescharacteristic
669C22C2×#643211yescharacteristic
670C22C2×#643311yescharacteristic
671C22C2×C4×D2811yescharacteristic
672C22C2×#644511yescharacteristic
673C22#9018112yes—
674C22#9018411yescharacteristic
675C22#9021511yescharacteristic
676C22#9021711yescharacteristic
677C22#9022212yes—
678C22D4×Dic1412yes—
679C22D4×Dic1412yes—
680C22#9023012yes—
681C22#9023012yes—
682C22C4×D4×D712yes—
683C22#9023712yes—
684C22#9023812yes—
685C22#9025512yes—
686C22C22×Dic7⋊C411yescharacteristic
687C22C2×#648711yescharacteristic
688C22C2×#649311yescharacteristic
689C22D4×C22⋊D712yes—
690C22#9051512yes—
691C4—28no—
692C4—24no—
693C4—44no—
694C4—42no—
695C4—148no—
696C4—282no—
697C4—284no—
698C4—282no—
699C4—561no—
700C4—561no—
701C2—28no—
702C2#1173089111yescharacteristic
703C2#1173091112yes—
704C2#1173093511yescharacteristic
705C2#1173094612yes—
706C2#1173099211yescharacteristic
707C2C4×#644511yescharacteristic
708C2C2×#8970011yescharacteristic
709C2#1173957211yescharacteristic
710C2#1173969111yescharacteristic
711C2D4×Dic7⋊C412yes—
712C2#1173980512yes—
subgroupG/H
center, FrattiniC24C23×D7
commutatorC23×C7C23×C4
FittingC2×C4×C7×C22⋊C4C2
socle, cosocleC24×C7C24
prime radicalC25×C7C23
hypercenterC2×C4×C22⋊C4D7
hypocenterC7#14043
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C24 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
6. C2×#89700C2semidirect
9. #11729290C2semidirect
10. #11727174C2semidirect
11. #11727165C2semidirect
40. #89722C4semidirect
89. C2×C4⋊Dic7C2×C4semidirect
109. C7⋊#95C2×C4semidirect
207. C7×C22⋊C4C4⋊C4semidirect
304. C2×C4×C7C2×C4⋊C4semidirect
419. C22×C7#389semidirect
547. C22⋊C4Dic7⋊C4semidirect
655. C2×C4C2×Dic7⋊C4semidirect
656. C7#14043semidirect
667. C22#89700semidirect

Maximal subgroups

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

subgroupindex
C23×Dic7⋊C42
C2×C4×C7×C22⋊C42
C2×#899822
C2×#897222
C2×#897002
#117292982
#117292902
#117271742
#117271652
#140437