Finite Group Databasebeta

← #13502608

Subgroups — #13502608

Order 1792.

1608 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×C4×C7×#41C211yesmaximal, characteristic, complemented
2C2×#90010C212yesmaximal, complemented
3C2×#89799C211yesmaximal, characteristic, complemented
4C2×#89787C211yesmaximal, characteristic, complemented
5#11739526C211yesmaximal, characteristic, complemented
6#11729387C212yesmaximal, complemented
7#11729380C211yesmaximal, characteristic, complemented
8#11729367C212yesmaximal, complemented
9#11729358C211yesmaximal, characteristic, complemented
10#11729340C212yesmaximal, complemented
11#11729284C211yesmaximal, characteristic, complemented
12C22×C7×#41C2211yescharacteristic
13C4×C7×#41—24no—
14C4×C7×#41—24no—
15C2×C4×C7×Q8C2211yescharacteristic
16C2×C4×C7×Q8C2211yescharacteristic
17C2×C4×C7×D4—21no—
18C2×C4×C7×D4—21no—
19C2×C4×C7×D4C2211yescharacteristic
20C2×C4×C7×D4C2211yescharacteristic
21C2×C7×#117—21no—
22C2×C7×#117C2211yescharacteristic
23C22×C42×C7—21no—
24C22×C42×C7C2211yescharacteristic
25C22×#1143C2212yes—
26C22×#1141C2212yes—
27C2×#6493—21no—
28C2×#6493—21no—
29C2×#6493C2212yes—
30C2×#6437C2211yescharacteristic
31#90010—28no—
32C2×#6409C2212yes—
33C2×#6406C2212yes—
34C2×C22⋊(C7⋊C8)C2212yes—
35#89799—24no—
36#89787—24no—
37C2×#6383C2212yes—
38C2×#6383C2212yes—
39#89711—21no—
40#89711—21no—
41#89711C2212yes—
42#89707C2211yescharacteristic
43C2×C4⋊(C7⋊C8)C2211yescharacteristic
44C2×C4⋊(C7⋊C8)C2211yescharacteristic
45#89324C2212yes—
46#89324C2212yes—
47#89319C2212yes—
48#32904—71nomaximal, Sylow
49C2×C7×#41—22no—
50C2×C7×#41—22no—
51C2×C7×#41—22no—
52C2×C7×#41—22no—
53C2×C7×#41—22no—
54C2×C7×#41D414yescomplemented
55C22×C7×Q8C2311yescharacteristic
56C22×C7×D4—21no—
57C22×C7×D4C2311yescharacteristic
58C23×C4×C7—21no—
59C23×C4×C7—21no—
60C23×C4×C7—21no—
61C23×C4×C7D411yescharacteristic
62C23×C4×C7D411yescharacteristic
63C23×C4×C7C2311yescharacteristic
64C22×C22⋊D7—22no—
65C22×D28—21no—
66C22×D28—21no—
67C22×D28C2312yes—
68C4×C7×Q8—22no—
69C4×C7×Q8—22no—
70C4×C7×Q8—22no—
71C4×C7×Q8D414yescomplemented
72C4×C7×D4—28no—
73C4×C7×D4—28no—
74C4×C7×D4—22no—
75C4×C7×D4—22no—
76C4×C7×D4—22no—
77C4×C7×D4D414yescomplemented
78C7×#117—28no—
79C7×#117—22no—
80C7×#117—22no—
81C2×C7×C4⋊C4—21no—
82C2×C7×C4⋊C4—21no—
83C2×C7×C4⋊C4C2311yescharacteristic
84C2×C7×C4⋊C4C2311yescharacteristic
85C2×C7×C22⋊C4—21no—
86C2×C7×C22⋊C4—21no—
87C2×C7×C22⋊C4—21no—
88C2×C42×C7—28no—
89C2×C42×C7—21no—
90C2×C42×C7—21no—
91C2×C42×C7—21no—
92C2×C42×C7—22no—
93C2×C42×C7—22no—
94C2×C42×C7D411yescharacteristic
95C2×C42×C7D411yescharacteristic
96C2×C42×C7C2311yescharacteristic
97C2×C42×C7C2311yescharacteristic
98C2×#1143—24no—
99C2×#1143—24no—
100C2×#1143—24no—
101C2×#1141—24no—
102C2×#1141—24no—
103C2×#1141—24no—
104#6493—24no—
105#6493—24no—
106#6493—44no—
107#6493—44no—
108C2×(C2×D7)⋊C4—22no—
109C2×(C2×D7)⋊C4—22no—
110C2×(C2×D7)⋊C4—22no—
111C2×C4⋊Dic7—21no—
112C2×C4⋊Dic7—21no—
113C2×C4⋊Dic7C2312yes—
114C22×C7⋊C8C2312yes—
115C22×C7⋊C8C2312yes—
116#6437—22no—
117#6437—22no—
118#6409—24no—
119#6406—24no—
120C22⋊(C7⋊C8)—24no—
121#6383—24no—
122#6383—24no—
123C4⋊(C7⋊C8)—22no—
124C4⋊(C7⋊C8)—22no—
125C2×C4×#41D711yescharacteristic, complemented
126C2×#460—71no—
127C2×#459—71no—
128C2×#449—72no—
129#2856—71no—
130#1880—72no—
131#1879—72no—
132#1875—72no—
133#1803—71no—
134#1802—71no—
135#1797—71no—
136C24×C7—21no—
137C24×C7C2×D411yescharacteristic
138C23×D7—22no—
139C7×#41—28no—
140C7×#41—28no—
141C7×#41—28no—
142C7×#41—28no—
143C2×C7×Q8—21no—
144C2×C7×Q8—21no—
145C2×C7×Q8—21no—
146C2×C7×Q8C2×D412yes—
147C2×C7×Q8C2×D412yes—
148C2×C7×Q8#4112yes—
149C2×C7×D4—24no—
150C2×C7×D4—24no—
151C2×C7×D4—24no—
152C2×C7×D4—21no—
153C2×C7×D4—21no—
154C2×C7×D4—21no—
155C2×C7×D4C2×D412yes—
156C2×C7×D4C2×D412yes—
157C2×C7×D4#4112yes—
158C22×C4×C7—24no—
159C22×C4×C7—24no—
160C22×C4×C7—21no—
161C22×C4×C7—24no—
162C22×C4×C7—21no—
163C22×C4×C7—21no—
164C22×C4×C7—21no—
165C22×C4×C7—21no—
166C22×C4×C7—24no—
167C22×C4×C7—21no—
168C22×C4×C7—21no—
169C22×C4×C7—22no—
170C22×C4×C7—22no—
171C22×C4×C7—24no—
172C22×C4×C7—22no—
173C22×C4×C7—22no—
174C22×C4×C7—22no—
175C22×C4×C7—41no—
176C22×C4×C7—42no—
177C22×C4×C7—42no—
178C22×C4×C7—42no—
179C22×C4×C7—42no—
180C22×C4×C7C2×D411yescharacteristic
181C22×C4×C7C2×D411yescharacteristic
182C22×C4×C7C2×D411yescharacteristic
183C22×C4×C7C2×D412yes—
184C22×C4×C7C2×D411yescharacteristic
185C22×C4×C7C2×D411yescharacteristic
186C22×C4×C7#4112yes—
187C22×C4×C7C2411yescharacteristic
188C2×C22⋊D7—44no—
189C2×C22⋊D7—44no—
190C2×C22⋊D7—44no—
191C22×Dic7—22no—
192C2×D28—22no—
193C2×D28—22no—
194C2×D28—22no—
195C2×D28—22no—
196C2×D28—22no—
197C2×D28—22no—
198C2×D28—42no—
199C2×D28—42no—
200C2×D28—42no—
201C2×D28—42no—
202C2×D28—42no—
203C2×D28—42no—
204C7×C4⋊C4—24no—
205C7×C4⋊C4—24no—
206C7×C4⋊C4—21no—
207C7×C4⋊C4—21no—
208C7×C4⋊C4C2×D412yes—
209C7×C4⋊C4C2×D412yes—
210C7×C22⋊C4—24no—
211C7×C22⋊C4—24no—
212C7×C22⋊C4—24no—
213C42×C7—24no—
214C42×C7—24no—
215C42×C7—22no—
216C42×C7—24no—
217C42×C7—22no—
218C42×C7—21no—
219C42×C7—21no—
220C42×C7C2×D412yes—
221C42×C7C2×D412yes—
222#1143—48no—
223#1141—48no—
224(C2×D7)⋊C4—44no—
225(C2×D7)⋊C4—44no—
226(C2×D7)⋊C4—44no—
227C4⋊Dic7—22no—
228C4⋊Dic7—22no—
229C4⋊Dic7—42no—
230C4⋊Dic7—42no—
231C2×C7⋊C8—22no—
232C2×C7⋊C8—22no—
233C2×C7⋊C8—22no—
234C2×C7⋊C8—22no—
235C2×C7⋊C8—22no—
236C2×C7⋊C8—22no—
237C22×#41C2×D711yescharacteristic
238C22×SD16—72no—
239C22×D8—72no—
240C2×#127—71no—
241C2×#121—72no—
242C2×#121—141no—
243C2×#121—141no—
244C4×#41—24no—
245C4×#41—24no—
246C2×C4×Q8C2×D711yescharacteristic
247C2×C4×Q8C2×D711yescharacteristic
248C2×C4×D4—21no—
249C2×C4×D4—21no—
250C2×C4×D4C2×D711yescharacteristic
251C2×C4×D4C2×D711yescharacteristic
252C2×#117—21no—
253C2×#117C2×D711yescharacteristic
254C22×C42—21no—
255C22×C42C2×D711yescharacteristic
256#460—144no—
257#459—144no—
258#449—148no—
259C2×C4⋊C8—71no—
260C2×C4⋊C8—71no—
261C2×#103—72no—
262C2×#102—72no—
263C2×#102—72no—
264C2×#102—72no—
265C2×C22⋊C8—72no—
266#390—72no—
267#390—141no—
268#390—141no—
269#384—71no—
270#340—72no—
271#340—72no—
272#336—72no—
273C23×C7—21no—
274C23×C7—22no—
275C23×C7—22no—
276C23×C7—21no—
277C23×C7—22no—
278C23×C7—21no—
279C23×C7—21no—
280C23×C7—21no—
281C23×C7—21no—
282C23×C7—41no—
283C23×C7—41no—
284C23×C7—41no—
285C23×C7—41no—
286C23×C7#12112yes—
287C23×C7C22×D411yescharacteristic
288C22×D7—42no—
289C22×D7—42no—
290C22×D7—42no—
291C22×D7—42no—
292C22×D7—42no—
293C22×D7—42no—
294C22×D7—42no—
295C7×Q8—22no—
296C7×Q8—22no—
297C7×Q8—22no—
298C7×Q8#12114yescomplemented
299C7×D4—216no—
300C7×D4—22no—
301C7×D4—22no—
302C7×D4—22no—
303C7×D4#12114yescomplemented
304C2×C4×C7—216no—
305C2×C4×C7—21no—
306C2×C4×C7—21no—
307C2×C4×C7—22no—
308C2×C4×C7—22no—
309C2×C4×C7—21no—
310C2×C4×C7—22no—
311C2×C4×C7—21no—
312C2×C4×C7—21no—
313C2×C4×C7—21no—
314C2×C4×C7—22no—
315C2×C4×C7—22no—
316C2×C4×C7—22no—
317C2×C4×C7—22no—
318C2×C4×C7—21no—
319C2×C4×C7—22no—
320C2×C4×C7—22no—
321C2×C4×C7—21no—
322C2×C4×C7—21no—
323C2×C4×C7—44no—
324C2×C4×C7—48no—
325C2×C4×C7—41no—
326C2×C4×C7—41no—
327C2×C4×C7—41no—
328C2×C4×C7—41no—
329C2×C4×C7—44no—
330C2×C4×C7—48no—
331C2×C4×C7#12012yes—
332C2×C4×C7#12012yes—
333C2×C4×C7#12112yes—
334C2×C4×C7#13512yes—
335C2×C4×C7AGL(1,ℤ/8)12yes—
336C2×C4×C7AGL(1,ℤ/8)12yes—
337C2×C4×C7C22×D411yescharacteristic
338C2×C4×C7C22×D411yescharacteristic
339C2×C4×C7C22×D411yescharacteristic
340C2×C4×C7C2×#4111yescharacteristic
341C2×C4×C7C2×#4111yescharacteristic
342C2×C4×C7C2×#4111yescharacteristic
343C22⋊D7—88no—
344C2×Dic7—42no—
345C2×Dic7—42no—
346C2×Dic7—42no—
347D28—42no—
348D28—42no—
349D28—42no—
350D28—42no—
351D28—84no—
352D28—84no—
353C7⋊C8—42no—
354C7⋊C8—42no—
355C2×#41—22no—
356C2×#41—22no—
357C2×#41—22no—
358C2×#41—22no—
359C2×#41—22no—
360C2×#41D2814yescomplemented
361C22×Q8C22×D711yescharacteristic
362C22×D4—21no—
363C22×D4—72no—
364C22×D4—142no—
365C22×D4—141no—
366C22×D4—141no—
367C22×D4C22×D711yescharacteristic
368C23×C4—21no—
369C23×C4—21no—
370C23×C4—21no—
371C23×C4C22⋊D711yescharacteristic
372C23×C4C22⋊D711yescharacteristic
373C23×C4C22×D711yescharacteristic
374C2×SD16—144no—
375C2×SD16—144no—
376C2×SD16—144no—
377C2×D8—144no—
378C2×D8—144no—
379C2×D8—144no—
380C22×C8—72no—
381C22×C8—72no—
382#127—142no—
383#127—142no—
384#121—144no—
385#121—144no—
386#121—284no—
387#121—284no—
388C4×Q8—22no—
389C4×Q8—22no—
390C4×Q8—22no—
391C4×Q8C22⋊D714yescomplemented
392C4×D4—28no—
393C4×D4—28no—
394C4×D4—22no—
395C4×D4—22no—
396C4×D4—22no—
397C4×D4C22⋊D714yescomplemented
398#117—28no—
399#117—22no—
400#117—22no—
401C2×C4⋊C4—21no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—72no—
404C2×C4⋊C4—141no—
405C2×C4⋊C4—141no—
406C2×C4⋊C4C22×D711yescharacteristic
407C2×C4⋊C4C22×D711yescharacteristic
408C2×C22⋊C4—21no—
409C2×C22⋊C4—21no—
410C2×C22⋊C4—21no—
411C2×C22⋊C4—142no—
412C2×C22⋊C4—142no—
413C2×C22⋊C4—142no—
414C2×C42—28no—
415C2×C42—21no—
416C2×C42—21no—
417C2×C42—21no—
418C2×C42—22no—
419C2×C42—22no—
420C2×C42C22⋊D711yescharacteristic
421C2×C42C22⋊D711yescharacteristic
422C2×C42C22×D711yescharacteristic
423C2×C42C22×D711yescharacteristic
424C4⋊C8—142no—
425C4⋊C8—142no—
426#103—144no—
427#102—144no—
428#102—144no—
429#102—144no—
430C22⋊C8—144no—
431C22×C7—22no—
432C22×C7—24no—
433C22×C7—22no—
434C22×C7—22no—
435C22×C7—41no—
436C22×C7—42no—
437C22×C7—41no—
438C22×C7—42no—
439C22×C7—41no—
440C22×C7—42no—
441C22×C7—41no—
442C22×C7—42no—
443C22×C7—42no—
444C22×C7—42no—
445C22×C7C2×#12011yescharacteristic
446C22×C7C2×#12111yescharacteristic
447C22×C7#52511yescharacteristic
448C22×C7C2×#13511yescharacteristic
449C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
450C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
451C22×C7#57511yescharacteristic
452C2×D7—82no—
453C2×D7—82no—
454C2×D7—82no—
455C2×D7—82no—
456C2×D7—82no—
457C2×D7—82no—
458C2×D7—82no—
459C4×C7—22no—
460C4×C7—24no—
461C4×C7—22no—
462C4×C7—22no—
463C4×C7—41no—
464C4×C7—42no—
465C4×C7—42no—
466C4×C7#44914yescomplemented
467C4×C7C2×#12111yescharacteristic
468C4×C7C2×#12111yescharacteristic
469C4×C7#52511yescharacteristic
470C4×C7#52511yescharacteristic
471Dic7—82no—
472C24—21no—
473C24—142no—
474C24C2×C22⋊D711yescharacteristic
475#41—28no—
476#41—28no—
477#41—28no—
478#41—28no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8C2×D2812yes—
483C2×Q8#115712yes—
484C2×Q8C2×C22⋊D712yes—
485C2×D4—24no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—142no—
492C2×D4—142no—
493C2×D4—142no—
494C2×D4—142no—
495C2×D4—142no—
496C2×D4—142no—
497C2×D4—282no—
498C2×D4—282no—
499C2×D4—284no—
500C2×D4—284no—
501C2×D4—284no—
502C2×D4—282no—
503C2×D4—282no—
504C2×D4—282no—
505C2×D4—282no—
506C2×D4C2×D2812yes—
507C2×D4#115712yes—
508C2×D4C2×C22⋊D712yes—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—21no—
512C22×C4—24no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—24no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—24no—
526C22×C4—41no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—142no—
532C22×C4C2×D2812yes—
533C22×C4#115712yes—
534C22×C4C2×C22⋊D711yescharacteristic
535C22×C4C2×C22⋊D711yescharacteristic
536C22×C4C2×C22⋊D711yescharacteristic
537C22×C4C2×C22⋊D711yescharacteristic
538C22×C4C2×C22⋊D711yescharacteristic
539C22×C4C23×D711yescharacteristic
540SD16—288no—
541D8—288no—
542C2×C8—142no—
543C2×C8—142no—
544C2×C8—142no—
545C2×C8—142no—
546C2×C8—142no—
547C2×C8—142no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—142no—
553C4⋊C4—142no—
554C4⋊C4—282no—
555C4⋊C4—282no—
556C4⋊C4C2×C22⋊D712yes—
557C4⋊C4C2×C22⋊D712yes—
558C22⋊C4—24no—
559C22⋊C4—24no—
560C22⋊C4—24no—
561C22⋊C4—284no—
562C22⋊C4—284no—
563C22⋊C4—284no—
564C42—24no—
565C42—24no—
566C42—22no—
567C42—24no—
568C42—22no—
569C42—21no—
570C42—21no—
571C42C2×C22⋊D712yes—
572C42C2×C22⋊D712yes—
573C2×C7—42no—
574C2×C7—44no—
575C2×C7#284711yescharacteristic
576C2×C7C2×#44911yescharacteristic
577C2×C7#300611yescharacteristic
578C2×C7#303511yescharacteristic
579C2×C7#303811yescharacteristic
580C2×C7#310611yescharacteristic
581C2×C7#311511yescharacteristic
582D7—162no—
583C23—22no—
584C23—21no—
585C23—22no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—22no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—282no—
597C23—282no—
598C23—282no—
599C23—282no—
600C23—282no—
601C23—282no—
602C23—282no—
603C23#649312yes—
604C23C22×C22⋊D711yescharacteristic
605Q8—22no—
606Q8—22no—
607Q8—22no—
608Q8#649314yescomplemented
609D4—216no—
610D4—22no—
611D4—22no—
612D4—22no—
613D4—282no—
614D4—282no—
615D4—282no—
616D4—282no—
617D4—564no—
618D4—568no—
619D4—564no—
620D4#649314yescomplemented
621C2×C4—216no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—44no—
641C2×C4—48no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—44no—
647C2×C4—48no—
648C2×C4—282no—
649C2×C4—282no—
650C2×C4—282no—
651C2×C4#649312yes—
652C2×C4#651212yes—
653C2×C4#651212yes—
654C2×C4#651312yes—
655C2×C4#651612yes—
656C2×C4#651612yes—
657C2×C4C22×D2811yescharacteristic
658C2×C4C2×#115711yescharacteristic
659C2×C4C2×#115711yescharacteristic
660C2×C4C2×#115711yescharacteristic
661C2×C4C22×C22⋊D711yescharacteristic
662C2×C4C22×C22⋊D711yescharacteristic
663C8—282no—
664C8—282no—
665C7#3290411yescharacteristic, complemented, Sylow
666C22—22no—
667C22—24no—
668C22—22no—
669C22—22no—
670C22—42no—
671C22—42no—
672C22—41no—
673C22—42no—
674C22—41no—
675C22—42no—
676C22—41no—
677C22—42no—
678C22—41no—
679C22—42no—
680C22—562no—
681C22—562no—
682C22—562no—
683C22—562no—
684C22—562no—
685C22—562no—
686C22—562no—
687C22C2×#649311yescharacteristic
688C22#9048211yescharacteristic
689C22C2×#651211yescharacteristic
690C22C2×#651211yescharacteristic
691C22C2×#651311yescharacteristic
692C22#9051311yescharacteristic
693C22C2×#651611yescharacteristic
694C4—22no—
695C4—24no—
696C4—22no—
697C4—22no—
698C4—41no—
699C4—42no—
700C4—42no—
701C4—562no—
702C4#9001014yescomplemented
703C4C2×#649311yescharacteristic
704C4C2×#649311yescharacteristic
705C4#9048211yescharacteristic
706C4#9048211yescharacteristic
707C2—42no—
708C2—44no—
709C2—1122no—
710C2#1173997011yescharacteristic
711C2#1173997111yescharacteristic
712C2#1173997411yescharacteristic
713C2#1173997611yescharacteristic
714C2#1174147711yescharacteristic
715C2C2×#9001011yescharacteristic
716C2#1174152711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D7
commutator, cosocleC22×C4×C7C24
FrattiniC22×C4C23×D7
FittingC2×C4×C7×#41C2
socleC23×C7C22×D4
hypercenterC2×C4×#41D7
hypocenterC7#32904
LCSG ▷ C22×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C22×C42 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
1. C2×C4×C7×#41C2semidirect
2. C2×#90010C2semidirect
3. C2×#89799C2semidirect
4. C2×#89787C2semidirect
5. #11739526C2semidirect
6. #11729387C2semidirect
7. #11729380C2semidirect
8. #11729367C2semidirect
9. #11729358C2semidirect
10. #11729340C2semidirect
11. #11729284C2semidirect
54. C2×C7×#41D4semidirect
71. C4×C7×Q8D4semidirect
77. C4×C7×D4D4semidirect
125. C2×C4×#41D7semidirect
298. C7×Q8#121semidirect
303. C7×D4#121semidirect
360. C2×#41D28semidirect
391. C4×Q8C22⋊D7semidirect
397. C4×D4C22⋊D7semidirect
466. C4×C7#449semidirect
608. Q8#6493semidirect
620. D4#6493semidirect
665. C7#32904semidirect
702. C4#90010semidirect

Maximal subgroups

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

subgroupindex
C2×C4×C7×#412
C2×#900102
C2×#897992
C2×#897872
#117395262
#117293872
#117293802
#117293672
#117293582
#117293402
#117292842
#329047