Finite Group Databasebeta

← #13514759

Subgroups — #13514759

Order 1792.

2834 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90177C211yesmaximal, characteristic
2C7×#2315C211yesmaximal, characteristic, complemented
3#11739566C211yesmaximal, characteristic
4C2×#89730C211yesmaximal, characteristic
5C2×#89722C211yesmaximal, characteristic, complemented
6#11739528C211yesmaximal, characteristic, complemented
7C2×C22⋊C4×Dic7C211yesmaximal, characteristic, complemented
8#11732040C214yesmaximal, complemented
9#11731837C214yesmaximal, complemented
10#11731828C214yesmaximal, complemented
11#11731822C214yesmaximal, complemented
12#11731329C214yesmaximal, complemented
13#11731328C214yesmaximal, complemented
14C23×C22⋊D7C2211yescharacteristic
15C24×Dic7C2211yescharacteristic
16C22×C7×C22⋊C4C2211yescharacteristic
17C22×C7×C22⋊C4C2211yescharacteristic
18C22×C7×C22⋊C4C2211yescharacteristic
19C22×C22⋊Dic7C2211yescharacteristic
20C22×C22⋊Dic7C2211yescharacteristic
21C2×C4×C22⋊D7C2214yes—
22C22×(C2×D7)⋊C4C2212yes—
23C22×C4⋊Dic7C2212yescomplemented
24C22×C4×Dic7C2212yescomplemented
25C2×#6455C2214yescomplemented
26#90177C4116yescomplemented
27C2×(C22⋊D7)⋊C4C2214yes—
28C2×D7×C22⋊C4C2212yes—
29C2×#6440C2212yes—
30C7×#385C2214yes—
31C7×#385C2214yescomplemented
32C7×#380C2214yescomplemented
33#89985C2214yes—
34C4×C22⋊Dic7C2214yes—
35C2×C7⋊#95C2212yes—
36C2×C7⋊#95C2212yescomplemented
37C2×C7⋊#95C2212yescomplemented
38#89762C2214yescomplemented
39#89762C2214yescomplemented
40#89759C2214yescomplemented
41#89750C2214yescomplemented
42#89750C2214yescomplemented
43#89749C2214yescomplemented
44C4⋊C4×Dic7C2214yescomplemented
45#89730C2212yes—
46#89730C2212yes—
47#89730C2212yes—
48#89730C2214yes—
49#89730C2212yes—
50#89727C2212yes—
51#89722C2214yes—
52#89722C2212yescomplemented
53#89722C2212yescomplemented
54#89715C2212yes—
55C22⋊C4×Dic7C2214yes—
56C22⋊C4×Dic7C2214yescomplemented
57C22⋊C4×Dic7C2212yescomplemented
58C22⋊C4×Dic7C2214yescomplemented
59C22⋊C4×Dic7C2212yescomplemented
60#89442C2214yescomplemented
61#89442C2214yescomplemented
62#89438C2214yescomplemented
63#89436C2214yescomplemented
64#89427C2214yescomplemented
65#89427C2214yescomplemented
66#89423C2214yescomplemented
67#89420C2214yescomplemented
68#34251—71nomaximal, Sylow
69C25×C7C2311yescharacteristic
70C24×D7C2311yescharacteristic
71C23×C4×C7C2312yes—
72C23×C4×C7C2312yes—
73C23×C4×C7C2312yes—
74C22×C22⋊D7—24no—
75C22×C22⋊D7—24no—
76C22×C22⋊D7C2×C418yes—
77C22×C22⋊D7C2312yes—
78C22×C22⋊D7C2312yes—
79C23×Dic7—24no—
80C23×Dic7—44no—
81C23×Dic7C2311yescharacteristic
82C23×Dic7C2312yes—
83C23×Dic7C2312yes—
84C23×Dic7C2311yescharacteristic
85C23×Dic7C2311yescharacteristic
86C23×Dic7C2311yescharacteristic
87C23×Dic7C2311yescharacteristic
88C23×Dic7C2312yes—
89C22×C4×D7C2314yes—
90C2×C7×C4⋊C4C2314yes—
91C2×C7×C4⋊C4C2314yes—
92C2×C7×C22⋊C4—24no—
93C2×C7×C22⋊C4—24no—
94C2×C7×C22⋊C4C2×C418yes—
95C2×C7×C22⋊C4C2312yes—
96C2×C7×C22⋊C4C2312yes—
97C2×C7×C22⋊C4C2312yes—
98C2×C7×C22⋊C4C2312yes—
99C2×C7×C22⋊C4C2312yes—
100C2×C7×C22⋊C4C2312yes—
101C2×C22⋊Dic7—24no—
102C2×C22⋊Dic7C2×C418yes—
103C2×C22⋊Dic7C2312yes—
104C2×C22⋊Dic7C2312yes—
105C2×C22⋊Dic7C2312yes—
106C2×C22⋊Dic7C2312yes—
107C4×C22⋊D7C2×C4132yescomplemented
108C2×(C2×D7)⋊C4—44no—
109C2×(C2×D7)⋊C4C2314yes—
110C2×(C2×D7)⋊C4C2314yes—
111C2×(C2×D7)⋊C4C2314yes—
112C2×(C2×D7)⋊C4C2314yes—
113C2×(C2×D7)⋊C4C2314yes—
114C2×C4⋊Dic7—44no—
115C2×C4⋊Dic7C2314yes—
116C2×C4⋊Dic7C2314yes—
117C2×Dic7⋊C4C2314yes—
118C2×C4×Dic7—44no—
119C2×C4×Dic7C2314yes—
120C2×C4×Dic7C2314yes—
121C2×C4×Dic7C2314yes—
122C2×C4×Dic7C2314yes—
123C2×C4×Dic7C2314yes—
124#6455—48no—
125(C22⋊D7)⋊C4C2×C4132yescomplemented
126D7×C22⋊C4C2×C4116yescomplemented
127#6440C2×C4116yescomplemented
128C7×#95C2314yes—
129C7×#95C2314yes—
130C7⋊#95C2314yes—
131C7⋊#95C2314yes—
132C7⋊#95C2314yes—
133C7⋊#95C2314yes—
134C7⋊#95C2314yes—
135C7⋊#95C2314yes—
136C7⋊#95C2314yes—
137C7⋊#95C2314yes—
138C7⋊#95C2314yes—
139C7⋊#95C2314yes—
140C2×#518—71no—
141#2353—74no—
142#2352—74no—
143#2343—74no—
144#2342—74no—
145#2318—74no—
146#2315D711yescharacteristic, complemented
147#2308—71no—
148#2290—74no—
149C2×#386—71no—
150C2×#385—71no—
151#2273—71no—
152C2×C4×C22⋊C4—71no—
153C24×C7—42no—
154C24×C7—42no—
155C24×C7C22×C414yes—
156C24×C7#4114yes—
157C24×C7#4114yes—
158C24×C7C2411yescharacteristic
159C24×C7C2411yescharacteristic
160C24×C7C2411yescharacteristic
161C23×D7—22no—
162C23×D7—22no—
163C23×D7—42no—
164C23×D7—42no—
165C23×D7C22×C414yes—
166C23×D7C2412yes—
167C22×C4×C7—24no—
168C22×C4×C7—24no—
169C22×C4×C7—42no—
170C22×C4×C7—42no—
171C22×C4×C7—42no—
172C22×C4×C7—42no—
173C22×C4×C7—42no—
174C22×C4×C7—42no—
175C22×C4×C7C22×C418yes—
176C22×C4×C7C2414yes—
177C22×C4×C7C2414yes—
178C22×C4×C7C2414yes—
179C2×C22⋊D7—232no—
180C2×C22⋊D7—24no—
181C2×C22⋊D7—24no—
182C2×C22⋊D7—24no—
183C2×C22⋊D7—24no—
184C2×C22⋊D7C22×C418yes—
185C2×C22⋊D7C22×C418yes—
186C22×Dic7—22no—
187C22×Dic7—22no—
188C22×Dic7—22no—
189C22×Dic7—24no—
190C22×Dic7—24no—
191C22×Dic7—24no—
192C22×Dic7—22no—
193C22×Dic7—22no—
194C22×Dic7—22no—
195C22×Dic7—24no—
196C22×Dic7—24no—
197C22×Dic7—42no—
198C22×Dic7—42no—
199C22×Dic7—42no—
200C22×Dic7—42no—
201C22×Dic7—42no—
202C22×Dic7—42no—
203C22×Dic7—42no—
204C22×Dic7—416no—
205C22×Dic7C22×C414yes—
206C22×Dic7C22×C418yes—
207C22×Dic7C2412yes—
208C22×Dic7C2412yes—
209C22×Dic7C2412yes—
210C22×Dic7C2412yes—
211C22×Dic7C2414yes—
212C22×Dic7C2412yes—
213C2×C4×D7—44no—
214C2×C4×D7—44no—
215C2×C4×D7C22×C4116yescomplemented
216C7×C4⋊C4—44no—
217C7×C4⋊C4—44no—
218C7×C22⋊C4—24no—
219C7×C22⋊C4—24no—
220C7×C22⋊C4—24no—
221C7×C22⋊C4—24no—
222C7×C22⋊C4C22×C418yes—
223C7×C22⋊C4C22×C418yes—
224C22⋊Dic7—24no—
225C22⋊Dic7—24no—
226C22⋊Dic7C22×C418yes—
227C22⋊Dic7C22×C418yes—
228(C2×D7)⋊C4—28no—
229(C2×D7)⋊C4—44no—
230(C2×D7)⋊C4—44no—
231(C2×D7)⋊C4—44no—
232(C2×D7)⋊C4C22×C4116yescomplemented
233C4⋊Dic7—28no—
234C4⋊Dic7—44no—
235Dic7⋊C4C22×C4116yescomplemented
236C4×Dic7—28no—
237C4×Dic7—44no—
238C4×Dic7—44no—
239C4×Dic7—44no—
240C4×Dic7C22×C4116yescomplemented
241C23×D4—71no—
242C24×C4—71no—
243#518—716no—
244C2×C4×D4—74no—
245C2×C4×D4—74no—
246C2×#117—74no—
247C2×#117—72no—
248C22×C4⋊C4—72no—
249C22×C22⋊C4—71no—
250C22×C22⋊C4—72no—
251C22×C22⋊C4—71no—
252C22×C22⋊C4—72no—
253C22×C22⋊C4C2×D711yescharacteristic
254C22×C22⋊C4C2×D711yescharacteristic
255C22×C22⋊C4C2×D711yescharacteristic
256C22×C42—72no—
257#388—74no—
258#388—74no—
259#388—74no—
260#388—74no—
261#387—74no—
262#387—74no—
263#387—74no—
264#387—74no—
265#386—74no—
266#386—72no—
267#386—72no—
268#386—72no—
269#386—74no—
270#386—72no—
271#385—72no—
272#385—74no—
273#385—72no—
274#385C2×D714yes—
275#385C2×D714yescomplemented
276#383—74no—
277#382—74no—
278#381—72no—
279#381—74no—
280#380—74no—
281#380C2×D714yescomplemented
282#379—72no—
283C4×C4⋊C4—74no—
284C4×C22⋊C4—74no—
285C4×C22⋊C4—74no—
286C4×C22⋊C4—74no—
287C4×C22⋊C4—72no—
288C4×C22⋊C4—74no—
289C4×C22⋊C4—72no—
290C4×C22⋊C4—74no—
291#376—74no—
292C2×#95—72no—
293C2×#95—72no—
294C2×#95—72no—
295C23×C7—22no—
296C23×C7—22no—
297C23×C7—22no—
298C23×C7—22no—
299C23×C7—22no—
300C23×C7—22no—
301C23×C7—44no—
302C23×C7—48no—
303C23×C7—48no—
304C23×C7—44no—
305C23×C7#117116yescomplemented
306C23×C7C23×C412yes—
307C23×C7C23×C412yes—
308C23×C7C23×C412yes—
309C23×C7C2×#4112yes—
310C23×C7C2×#4112yes—
311C23×C7C2×#4112yes—
312C23×C7C2×#4112yes—
313C23×C7C2×#4112yes—
314C23×C7C2×#4112yes—
315C23×C7C2511yescharacteristic
316C22×D7—22no—
317C22×D7—22no—
318C22×D7—24no—
319C22×D7—24no—
320C22×D7—28no—
321C22×D7—48no—
322C22×D7—82no—
323C22×D7—82no—
324C22×D7—84no—
325C22×D7C23×C414yes—
326C2×C4×C7—24no—
327C2×C4×C7—24no—
328C2×C4×C7—24no—
329C2×C4×C7—24no—
330C2×C4×C7—24no—
331C2×C4×C7—24no—
332C2×C4×C7—24no—
333C2×C4×C7—24no—
334C2×C4×C7—48no—
335C2×C4×C7—48no—
336C2×C4×C7—84no—
337C2×C4×C7C23×C418yes—
338C22⋊D7—216no—
339C22⋊D7—216no—
340C2×Dic7—28no—
341C2×Dic7—28no—
342C2×Dic7—22no—
343C2×Dic7—22no—
344C2×Dic7—22no—
345C2×Dic7—24no—
346C2×Dic7—22no—
347C2×Dic7—24no—
348C2×Dic7—22no—
349C2×Dic7—22no—
350C2×Dic7—22no—
351C2×Dic7—24no—
352C2×Dic7—22no—
353C2×Dic7—22no—
354C2×Dic7—24no—
355C2×Dic7—48no—
356C2×Dic7—48no—
357C2×Dic7—48no—
358C2×Dic7—44no—
359C2×Dic7—82no—
360C2×Dic7—82no—
361C2×Dic7C23×C414yes—
362C2×Dic7C23×C418yes—
363C2×Dic7H(5,𝔽2)14yes—
364C4×D7—416no—
365C25—71no—
366C25C22×D711yescharacteristic
367C22×D4—78no—
368C22×D4—72no—
369C22×D4—72no—
370C22×D4—144no—
371C22×D4—144no—
372C23×C4—71no—
373C23×C4—72no—
374C23×C4—74no—
375C23×C4—71no—
376C23×C4—72no—
377C23×C4—72no—
378C23×C4—71no—
379C23×C4—71no—
380C23×C4—71no—
381C23×C4—144no—
382C23×C4—284no—
383C23×C4C22×D712yes—
384C23×C4C22×D712yes—
385C23×C4C22×D712yes—
386C4×D4—732no—
387C4×D4—732no—
388#117—716no—
389#117—288no—
390C2×C4⋊C4—74no—
391C2×C4⋊C4—74no—
392C2×C4⋊C4—74no—
393C2×C4⋊C4—284no—
394C2×C4⋊C4C22×D714yes—
395C2×C4⋊C4C22×D714yes—
396C2×C22⋊C4—24no—
397C2×C22⋊C4—24no—
398C2×C22⋊C4—78no—
399C2×C22⋊C4—72no—
400C2×C22⋊C4—72no—
401C2×C22⋊C4—74no—
402C2×C22⋊C4—716no—
403C2×C22⋊C4—72no—
404C2×C22⋊C4—72no—
405C2×C22⋊C4—74no—
406C2×C22⋊C4—74no—
407C2×C22⋊C4—74no—
408C2×C22⋊C4—74no—
409C2×C22⋊C4—144no—
410C2×C22⋊C4—284no—
411C2×C22⋊C4C4×D718yes—
412C2×C22⋊C4C22×D712yes—
413C2×C22⋊C4C22×D712yes—
414C2×C22⋊C4C22×D712yes—
415C2×C22⋊C4C22×D712yes—
416C2×C22⋊C4C22×D712yes—
417C2×C22⋊C4C22×D712yes—
418C2×C42—74no—
419C2×C42—74no—
420C2×C42—74no—
421C2×C42—74no—
422C2×C42—74no—
423C2×C42—284no—
424#95—74no—
425#95—74no—
426#95—74no—
427#95—74no—
428#95—74no—
429#95—74no—
430#95—74no—
431#95—74no—
432#95—74no—
433#95—74no—
434#95C22×D714yes—
435#95C22×D714yes—
436C22×C7—24no—
437C22×C7—24no—
438C22×C7—24no—
439C22×C7—22no—
440C22×C7—22no—
441C22×C7—22no—
442C22×C7—22no—
443C22×C7—22no—
444C22×C7—22no—
445C22×C7—24no—
446C22×C7—24no—
447C22×C7—24no—
448C22×C7—416no—
449C22×C7C2×#11714yes—
450C22×C7C2×#11714yes—
451C22×C7C2×#11714yes—
452C22×C7C24×C411yescharacteristic
453C22×C7C22×#4111yescharacteristic
454C22×C7C22×#4111yescharacteristic
455C22×C7C2×H(5,𝔽2)12yes—
456C22×C7#58512yes—
457C2×D7—24no—
458C2×D7—28no—
459C2×D7—42no—
460C2×D7—42no—
461C2×D7—44no—
462C2×D7—88no—
463C4×C7—28no—
464C4×C7—44no—
465C4×C7—44no—
466Dic7—24no—
467Dic7—28no—
468Dic7—24no—
469Dic7—42no—
470Dic7—42no—
471Dic7—42no—
472C24—42no—
473C24—42no—
474C24—72no—
475C24—74no—
476C24—142no—
477C24—142no—
478C24—282no—
479C24—282no—
480C24C2×C4×D714yes—
481C24#115914yes—
482C24#116114yes—
483C24C23×D711yescharacteristic
484C24C23×D711yescharacteristic
485C24C23×D711yescharacteristic
486C2×D4—78no—
487C2×D4—78no—
488C2×D4—1432no—
489C2×D4—144no—
490C2×D4—144no—
491C2×D4—144no—
492C2×D4—144no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—74no—
502C22×C4—72no—
503C22×C4—74no—
504C22×C4—72no—
505C22×C4—78no—
506C22×C4—716no—
507C22×C4—72no—
508C22×C4—72no—
509C22×C4—72no—
510C22×C4—144no—
511C22×C4—144no—
512C22×C4—144no—
513C22×C4—142no—
514C22×C4—142no—
515C22×C4—142no—
516C22×C4—144no—
517C22×C4—144no—
518C22×C4—142no—
519C22×C4—142no—
520C22×C4—142no—
521C22×C4—284no—
522C22×C4—284no—
523C22×C4—282no—
524C22×C4—282no—
525C22×C4—282no—
526C22×C4—282no—
527C22×C4—282no—
528C22×C4—282no—
529C22×C4—282no—
530C22×C4—2816no—
531C22×C4C2×C4×D718yes—
532C22×C4C23×D714yes—
533C22×C4C23×D714yes—
534C22×C4C23×D714yes—
535C4⋊C4—44no—
536C4⋊C4—44no—
537C4⋊C4—716no—
538C4⋊C4—148no—
539C4⋊C4—284no—
540C22⋊C4—24no—
541C22⋊C4—24no—
542C22⋊C4—24no—
543C22⋊C4—24no—
544C22⋊C4—78no—
545C22⋊C4—78no—
546C22⋊C4—716no—
547C22⋊C4—148no—
548C22⋊C4—144no—
549C22⋊C4—144no—
550C22⋊C4—284no—
551C22⋊C4—284no—
552C22⋊C4—284no—
553C22⋊C4C2×C4×D718yes—
554C22⋊C4C2×C4×D718yes—
555C42—716no—
556C42—148no—
557C42—284no—
558C42—284no—
559C42—284no—
560C2×C7—24no—
561C2×C7—24no—
562C2×C7—24no—
563C2×C7C22×#11711yescharacteristic
564C2×C7C4×H(5,𝔽2)12yes—
565C2×C7#349011yescharacteristic
566C2×C7#349111yescharacteristic
567C2×C7#350512yes—
568D7—44no—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—44no—
576C23—48no—
577C23—48no—
578C23—44no—
579C23—74no—
580C23—142no—
581C23—142no—
582C23—144no—
583C23—144no—
584C23—148no—
585C23—288no—
586C23—564no—
587C23—562no—
588C23—562no—
589C23#6455116yescomplemented
590C23C22×C4×D712yes—
591C23C22×C4×D712yes—
592C23C22×C4×D712yes—
593C23C2×#115912yes—
594C23C2×#115912yes—
595C23C2×#115912yes—
596C23C2×#116112yes—
597C23C2×#116112yes—
598C23C2×#116112yes—
599C23C24×D711yescharacteristic
600D4—1416no—
601D4—1416no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—48no—
611C2×C4—48no—
612C2×C4—74no—
613C2×C4—78no—
614C2×C4—74no—
615C2×C4—84no—
616C2×C4—148no—
617C2×C4—148no—
618C2×C4—142no—
619C2×C4—142no—
620C2×C4—142no—
621C2×C4—144no—
622C2×C4—142no—
623C2×C4—144no—
624C2×C4—142no—
625C2×C4—142no—
626C2×C4—142no—
627C2×C4—144no—
628C2×C4—142no—
629C2×C4—142no—
630C2×C4—144no—
631C2×C4—2816no—
632C2×C4—288no—
633C2×C4—288no—
634C2×C4—288no—
635C2×C4—284no—
636C2×C4—562no—
637C2×C4—562no—
638C2×C4C22×C4×D718yes—
639C7#3425111yescharacteristic, complemented, Sylow
640C22—24no—
641C22—24no—
642C22—24no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—24no—
650C22—24no—
651C22—24no—
652C22—416no—
653C22—144no—
654C22—148no—
655C22—284no—
656C22—282no—
657C22—282no—
658C22—568no—
659C22C2×#645514yes—
660C22C2×#645514yes—
661C22C2×#645514yes—
662C22C23×C4×D711yescharacteristic
663C22C22×#115911yescharacteristic
664C22C22×#116111yescharacteristic
665C22D7×H(5,𝔽2)12yes—
666C22#9061812yes—
667C4—28no—
668C4—44no—
669C4—44no—
670C4—144no—
671C4—144no—
672C4—148no—
673C4—282no—
674C4—282no—
675C4—282no—
676C2—24no—
677C2—24no—
678C2—24no—
679C2—284no—
680C2C22×#645511yescharacteristic
681C2#1174292512yes—
682C2#1174336712yes—
683C2#1174364111yescharacteristic
684C2#1174364711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2315C2
socle, cosocleC23×C7C25
prime radicalC23×C22⋊D7C22
hypercenter#2315D7
hypocenterC7#34251
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2315

Complements

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

NH ≅ G/Ntype
2. C7×#2315C2semidirect
5. C2×#89722C2semidirect
6. #11739528C2semidirect
7. C2×C22⋊C4×Dic7C2semidirect
8. #11732040C2semidirect
9. #11731837C2semidirect
10. #11731828C2semidirect
11. #11731822C2semidirect
12. #11731329C2semidirect
13. #11731328C2semidirect
23. C22×C4⋊Dic7C22semidirect
24. C22×C4×Dic7C22semidirect
25. C2×#6455C22semidirect
26. #90177C4semidirect
31. C7×#385C22semidirect
32. C7×#380C22semidirect
36. C2×C7⋊#95C22semidirect
37. C2×C7⋊#95C22semidirect
38. #89762C22semidirect
39. #89762C22semidirect
40. #89759C22semidirect
41. #89750C22semidirect
42. #89750C22semidirect
43. #89749C22semidirect
44. C4⋊C4×Dic7C22semidirect
52. #89722C22semidirect
53. #89722C22semidirect
56. C22⋊C4×Dic7C22semidirect
57. C22⋊C4×Dic7C22semidirect
58. C22⋊C4×Dic7C22semidirect
59. C22⋊C4×Dic7C22semidirect
60. #89442C22semidirect
61. #89442C22semidirect
62. #89438C22semidirect
63. #89436C22semidirect
64. #89427C22semidirect
65. #89427C22semidirect
66. #89423C22semidirect
67. #89420C22semidirect
107. C4×C22⋊D7C2×C4semidirect
125. (C22⋊D7)⋊C4C2×C4semidirect
126. D7×C22⋊C4C2×C4semidirect
127. #6440C2×C4semidirect
146. #2315D7semidirect
215. C2×C4×D7C22×C4semidirect
232. (C2×D7)⋊C4C22×C4semidirect
235. Dic7⋊C4C22×C4semidirect
240. C4×Dic7C22×C4semidirect
275. #385C2×D7semidirect
281. #380C2×D7semidirect
305. C23×C7#117semidirect
589. C23#6455semidirect
639. C7#34251semidirect

Maximal subgroups

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

subgroupindex
C2×#901772
C7×#23152
#117395662
C2×#897302
C2×#897222
#117395282
C2×C22⋊C4×Dic72
#117320402
#117318372
#117318282
#117318222
#117313292
#117313282
#342517