Finite Group Databasebeta

← #13360521

Subgroups — #13360521

Order 1792.

1086 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C7×M16C211yesmaximal, characteristic, complemented
2C2×#89906C211yesmaximal, characteristic
3C4×#6487C211yesmaximal, characteristic, complemented
4C4×#6493C211yesmaximal, characteristic
5C2×#89482C211yesmaximal, characteristic, complemented
6#11729744C211yesmaximal, characteristic
7#11729743C211yesmaximal, characteristic, complemented
8#11729742C211yesmaximal, characteristic, complemented
9#11727568C211yesmaximal, characteristic, complemented
10#11727567C211yesmaximal, characteristic, complemented
11#11727566C211yesmaximal, characteristic, complemented
12#11727528C211yesmaximal, characteristic, complemented
13#11727524C211yesmaximal, characteristic, complemented
14#11727522C211yesmaximal, characteristic, complemented
15#11727521C211yesmaximal, characteristic, complemented
16C22×C7×M16C2211yescharacteristic
17C22×C7×M16C2211yescharacteristic
18C22×C42×C7C2211yescharacteristic
19C2×#6493C2211yescharacteristic
20C2×C4×C22⋊D7—21no—
21C2×#6487C2211yescharacteristic
22C22×#1132C2211yescharacteristic
23C2×C4×D28C2211yescharacteristic
24C2×C4×Dic14C2211yescharacteristic
25C4×C7×M16—24no—
26C2×C7×#97C2211yescharacteristic
27C2×C7×#97C2211yescharacteristic
28C2×C4×C7×C8C2211yescharacteristic
29C2×C4×C7×C8C2211yescharacteristic
30#89985—21no—
31#89984C2211yescharacteristic
32#89984C2211yescharacteristic
33#89982—21no—
34C4×C22⋊Dic7—21no—
35#89906C418yescomplemented
36C2×#6395C2211yescharacteristic
37C2×#6395C2211yescharacteristic
38C2×#6395C2211yescharacteristic
39C2×#6392C2211yescharacteristic
40C2×#6392C2211yescharacteristic
41C2×#6391C2211yescharacteristic
42C2×#6390C2211yescharacteristic
43C2×#6390C2211yescharacteristic
44C2×#6390C2211yescharacteristic
45#89712—21no—
46#89711C2211yescharacteristic
47C4×(C2×D7)⋊C4—21no—
48C4×C4⋊Dic7C2211yescharacteristic
49C4×C4⋊Dic7C2211yescharacteristic
50#89705—21no—
51C4×Dic7⋊C4—21no—
52#89701C2211yescharacteristic
53#89700C2211yescharacteristic
54#89700C2211yescharacteristic
55#89482—24no—
56#89346C2211yescharacteristic
57#89346C2211yescharacteristic
58#89346C2211yescharacteristic
59#89346C2211yescharacteristic
60#89346C2211yescharacteristic
61#89346C2211yescharacteristic
62#21540—71nomaximal, Sylow
63C23×C4×C7D411yescharacteristic
64C23×C4×C7D411yescharacteristic
65C23×C4×C7C2311yescharacteristic
66C22×C22⋊D7—21no—
67C22×D28C2311yescharacteristic
68C22×C4×D7—21no—
69C22×Dic14C2311yescharacteristic
70C2×C7×M16—22no—
71C2×C7×M16—22no—
72C2×C7×M16—22no—
73C2×C7×M16—22no—
74C2×C7×M16—22no—
75C2×C7×M16C2×C414yescomplemented
76C22×C7×C8C2311yescharacteristic
77C22×C7×C8C2311yescharacteristic
78C22×C7×C8C2311yescharacteristic
79C22×C7×C8C2311yescharacteristic
80C2×C42×C7—22no—
81C2×C42×C7—22no—
82C2×C42×C7D411yescharacteristic
83C2×C42×C7D411yescharacteristic
84C2×C42×C7C2311yescharacteristic
85C2×C42×C7C2311yescharacteristic
86C2×C22⋊Dic7—21no—
87C2×C22⋊Dic7—21no—
88C2×C22⋊Dic7—21no—
89#6493—22no—
90#6493C2×C414yes—
91C4×C22⋊D7—44no—
92C2×(C2×D7)⋊C4—21no—
93C2×(C2×D7)⋊C4—21no—
94C2×(C2×D7)⋊C4—21no—
95C2×(C2×D7)⋊C4—21no—
96C2×C4⋊Dic7C2311yescharacteristic
97C2×C4⋊Dic7C2311yescharacteristic
98C2×C4⋊Dic7C2311yescharacteristic
99C2×C4⋊Dic7C2311yescharacteristic
100C2×C4⋊Dic7C2311yescharacteristic
101C2×C4⋊Dic7C2311yescharacteristic
102#6487—22no—
103#6487C2×C414yescomplemented
104C2×Dic7⋊C4—21no—
105C2×Dic7⋊C4—21no—
106C2×Dic7⋊C4—21no—
107C2×Dic7⋊C4—21no—
108C2×C4×Dic7—21no—
109C2×C4×Dic7—21no—
110C2×C4×Dic7—21no—
111C2×#1132—22no—
112C2×#1132—22no—
113C2×#1132C2×C414yescomplemented
114C4×D28—22no—
115C4×D28—22no—
116C4×Dic14—22no—
117C4×Dic14—22no—
118C7×#97—22no—
119C7×#97D414yescomplemented
120C4×C7×C8—22no—
121C4×C7×C8—22no—
122C7⋊#95—21no—
123C7⋊#95—21no—
124C7⋊#95—21no—
125C7⋊#95—21no—
126C7⋊#95—21no—
127C7⋊#95—21no—
128C7⋊#95—21no—
129C7⋊#95—21no—
130#6395—22no—
131#6395—22no—
132#6395C2×C414yescomplemented
133#6392—22no—
134#6392C2×C414yescomplemented
135#6391—22no—
136#6390—22no—
137#6390—22no—
138#6390C2×C414yescomplemented
139C2×#468—71no—
140C2×#440—71no—
141C2×C4×M16D711yescharacteristic, complemented
142C4×C22⋊Q8—71no—
143C4×#121—71no—
144#1968—71no—
145#1942—71no—
146#1934—71no—
147#1933—71no—
148#1895—71no—
149#1894—71no—
150#1809—71no—
151#1776—71no—
152#1763—71no—
153#1762—71no—
154C24×C7C2×D411yescharacteristic
155C23×D7—21no—
156C22×C4×C7—21no—
157C22×C4×C7—21no—
158C22×C4×C7—21no—
159C22×C4×C7—21no—
160C22×C4×C7—22no—
161C22×C4×C7—22no—
162C22×C4×C7—22no—
163C22×C4×C7—22no—
164C22×C4×C7—41no—
165C22×C4×C7—41no—
166C22×C4×C7C22×C412yes—
167C22×C4×C7C2×D411yescharacteristic
168C22×C4×C7C2×D411yescharacteristic
169C22×C4×C7C2×D411yescharacteristic
170C22×C4×C7C2×D411yescharacteristic
171C22×C4×C7C2×D411yescharacteristic
172C22×C4×C7#4112yes—
173C22×C4×C7C2411yescharacteristic
174C2×C22⋊D7—24no—
175C2×C22⋊D7—42no—
176C2×C22⋊D7—42no—
177C22×Dic7—21no—
178C22×Dic7—21no—
179C22×Dic7—21no—
180C22×Dic7—21no—
181C22×Dic7—21no—
182C22×Dic7—21no—
183C22×Dic7—21no—
184C2×D28—21no—
185C2×D28—21no—
186C2×D28—21no—
187C2×D28—21no—
188C2×D28—21no—
189C2×D28C22×C412yes—
190C2×C4×D7—42no—
191C2×C4×D7—42no—
192C2×C4×D7—42no—
193C2×Dic14—21no—
194C2×Dic14—21no—
195C2×Dic14—21no—
196C2×Dic14—21no—
197C2×Dic14—21no—
198C2×Dic14C22×C412yes—
199C7×M16—28no—
200C7×M16—28no—
201C2×C7×C8—21no—
202C2×C7×C8—21no—
203C2×C7×C8—21no—
204C2×C7×C8—21no—
205C2×C7×C8—21no—
206C2×C7×C8—21no—
207C2×C7×C8C22×C412yes—
208C2×C7×C8C22×C412yes—
209C2×C7×C8C2×D412yes—
210C2×C7×C8C2×D412yes—
211C2×C7×C8#4112yes—
212C2×C7×C8#4112yes—
213C42×C7—22no—
214C42×C7—22no—
215C42×C7—21no—
216C42×C7—21no—
217C42×C7C2×D412yes—
218C42×C7#4112yes—
219C22⋊Dic7—24no—
220C22⋊Dic7—42no—
221C22⋊Dic7—42no—
222(C2×D7)⋊C4—24no—
223(C2×D7)⋊C4—42no—
224(C2×D7)⋊C4—42no—
225(C2×D7)⋊C4—42no—
226C4⋊Dic7—21no—
227C4⋊Dic7—21no—
228C4⋊Dic7—21no—
229C4⋊Dic7—21no—
230C4⋊Dic7—21no—
231C4⋊Dic7—21no—
232C4⋊Dic7—21no—
233C4⋊Dic7—21no—
234C4⋊Dic7—21no—
235C4⋊Dic7—21no—
236C4⋊Dic7C22×C412yes—
237C4⋊Dic7C22×C412yes—
238Dic7⋊C4—24no—
239Dic7⋊C4—42no—
240Dic7⋊C4—42no—
241Dic7⋊C4—42no—
242C4×Dic7—42no—
243C4×Dic7—42no—
244C4×Dic7—42no—
245#1132—28no—
246C22×SD16—71no—
247C22×M16C2×D711yescharacteristic
248C22×M16C2×D711yescharacteristic
249C2×C22⋊Q8—71no—
250C2×#121—71no—
251C2×C4×Q8—71no—
252C2×C4×D4—71no—
253C2×C4×D4—141no—
254C22×C42C2×D711yescharacteristic
255#468—78no—
256#440—144no—
257C2×#107—71no—
258C2×#107—71no—
259C2×#106—71no—
260C2×#103—71no—
261C2×#103—71no—
262C2×#103—71no—
263C2×#102—71no—
264C2×#102—71no—
265C2×#102—71no—
266C4×M16—24no—
267C2×#97C2×D711yescharacteristic
268C2×#97C2×D711yescharacteristic
269C2×C4×C8C2×D711yescharacteristic
270C2×C4×C8C2×D711yescharacteristic
271#391—71no—
272#390—71no—
273#389—71no—
274#389—71no—
275#388—141no—
276#387—141no—
277#386—141no—
278#385—141no—
279#380—71no—
280#380—71no—
281C4×C4⋊C4—71no—
282C4×C4⋊C4—71no—
283C4×C4⋊C4—141no—
284C4×C22⋊C4—141no—
285C4×C22⋊C4—141no—
286#340—71no—
287#340—71no—
288#340—71no—
289#340—71no—
290#340—71no—
291#340—71no—
292C23×C7—21no—
293C23×C7—21no—
294C23×C7—21no—
295C23×C7—21no—
296C23×C7—21no—
297C23×C7—21no—
298C23×C7C4×D412yes—
299C23×C7C22×D411yescharacteristic
300C22×D7—22no—
301C22×D7—41no—
302C22×D7—41no—
303C22×D7—41no—
304C22×D7—41no—
305C22×D7—41no—
306C22×D7—41no—
307C2×C4×C7—21no—
308C2×C4×C7—21no—
309C2×C4×C7—21no—
310C2×C4×C7—21no—
311C2×C4×C7—21no—
312C2×C4×C7—21no—
313C2×C4×C7—21no—
314C2×C4×C7—21no—
315C2×C4×C7—21no—
316C2×C4×C7—21no—
317C2×C4×C7—22no—
318C2×C4×C7—22no—
319C2×C4×C7—22no—
320C2×C4×C7—22no—
321C2×C4×C7—44no—
322C2×C4×C7—44no—
323C2×C4×C7C4×D412yes—
324C2×C4×C7#12112yes—
325C2×C4×C7#12112yes—
326C2×C4×C7AGL(1,ℤ/8)12yes—
327C2×C4×C7#13712yes—
328C2×C4×C7C23×C411yescharacteristic
329C2×C4×C7C22×D411yescharacteristic
330C2×C4×C7C2×#4111yescharacteristic
331C2×C4×C7C2×#4111yescharacteristic
332C2×C4×C7C2×#4111yescharacteristic
333C2×C4×C7C2×#4111yescharacteristic
334C22⋊D7—48no—
335C2×Dic7—22no—
336C2×Dic7—22no—
337C2×Dic7—22no—
338C2×Dic7—41no—
339C2×Dic7—41no—
340C2×Dic7—41no—
341C2×Dic7—41no—
342C2×Dic7—41no—
343C2×Dic7—41no—
344C2×Dic7—41no—
345C2×Dic7—41no—
346C2×Dic7—41no—
347C2×Dic7—41no—
348C2×Dic7—41no—
349C2×Dic7—41no—
350C2×Dic7—41no—
351C2×Dic7—41no—
352C2×Dic7—41no—
353C2×Dic7—41no—
354C2×Dic7—41no—
355C2×Dic7—41no—
356D28—22no—
357D28—22no—
358D28—41no—
359D28—41no—
360C4×D7—84no—
361Dic14—22no—
362Dic14—22no—
363Dic14—41no—
364Dic14—41no—
365C7×C8—22no—
366C7×C8—22no—
367C7×C8—22no—
368C7×C8C4×D414yescomplemented
369C22×Q8—71no—
370C22×D4—71no—
371C22×D4—141no—
372C23×C4—141no—
373C23×C4D2811yescharacteristic
374C23×C4D2811yescharacteristic
375C23×C4C22×D711yescharacteristic
376C2×SD16—74no—
377C2×SD16—142no—
378C2×SD16—142no—
379C2×M16—22no—
380C2×M16—22no—
381C2×M16—22no—
382C2×M16—22no—
383C2×M16—22no—
384C2×M16C4×D714yescomplemented
385C22×C8C22×D711yescharacteristic
386C22×C8C22×D711yescharacteristic
387C22×C8C22×D711yescharacteristic
388C22×C8C22×D711yescharacteristic
389C22⋊Q8—74no—
390C22⋊Q8—142no—
391#121—74no—
392#121—142no—
393C4×Q8—142no—
394C4×Q8—142no—
395C4×D4—142no—
396C4×D4—142no—
397C4×D4—284no—
398C2×C4⋊C4—71no—
399C2×C4⋊C4—71no—
400C2×C4⋊C4—71no—
401C2×C4⋊C4—71no—
402C2×C4⋊C4—71no—
403C2×C4⋊C4—71no—
404C2×C4⋊C4—141no—
405C2×C4⋊C4—141no—
406C2×C4⋊C4—141no—
407C2×C4⋊C4—141no—
408C2×C22⋊C4—141no—
409C2×C22⋊C4—141no—
410C2×C22⋊C4—141no—
411C2×C22⋊C4—141no—
412C2×C22⋊C4—141no—
413C2×C22⋊C4—141no—
414C2×C22⋊C4—141no—
415C2×C42—22no—
416C2×C42—22no—
417C2×C42—141no—
418C2×C42—141no—
419C2×C42—141no—
420C2×C42D2811yescharacteristic
421C2×C42D2811yescharacteristic
422C2×C42C22×D711yescharacteristic
423C2×C42C22×D711yescharacteristic
424#107—74no—
425#107—142no—
426#106—142no—
427#103—74no—
428#103—142no—
429#103—142no—
430#102—74no—
431#102—142no—
432#102—142no—
433#97—22no—
434#97C22⋊D714yescomplemented
435C4×C8—22no—
436C4×C8—22no—
437#95—141no—
438#95—141no—
439#95—141no—
440#95—141no—
441#95—141no—
442#95—141no—
443#95—141no—
444#95—141no—
445C22×C7—22no—
446C22×C7—22no—
447C22×C7—22no—
448C22×C7—41no—
449C22×C7—41no—
450C22×C7—41no—
451C22×C7—41no—
452C22×C7C2×C4×D411yescharacteristic
453C22×C7C2×#12111yescharacteristic
454C22×C7#53211yescharacteristic
455C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
456C22×C7C2×#13711yescharacteristic
457C22×C7#57511yescharacteristic
458C22×C7#57511yescharacteristic
459C2×D7—42no—
460C2×D7—42no—
461C2×D7—42no—
462C2×D7—81no—
463C2×D7—81no—
464C2×D7—81no—
465C2×D7—81no—
466C4×C7—22no—
467C4×C7—22no—
468C4×C7—22no—
469C4×C7—22no—
470C4×C7—22no—
471C4×C7C2×C4×D411yescharacteristic
472C4×C7C4×#4111yescharacteristic
473C4×C7#52511yescharacteristic
474C4×C7#52911yescharacteristic
475Dic7—42no—
476Dic7—42no—
477Dic7—42no—
478Dic7—81no—
479Dic7—81no—
480Dic7—81no—
481Dic7—81no—
482C24—141no—
483C24C2×D2811yescharacteristic
484C2×Q8—72no—
485C2×Q8—141no—
486C2×Q8—141no—
487C2×Q8—141no—
488C2×Q8—141no—
489C2×Q8—141no—
490C2×D4—72no—
491C2×D4—144no—
492C2×D4—141no—
493C2×D4—141no—
494C2×D4—141no—
495C2×D4—141no—
496C2×D4—141no—
497C2×D4—282no—
498C2×D4—282no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—41no—
508C22×C4—41no—
509C22×C4—141no—
510C22×C4—141no—
511C22×C4—141no—
512C22×C4—141no—
513C22×C4—141no—
514C22×C4—141no—
515C22×C4—141no—
516C22×C4—282no—
517C22×C4—282no—
518C22×C4—282no—
519C22×C4C2×C4×D712yes—
520C22×C4C2×D2811yescharacteristic
521C22×C4C2×D2811yescharacteristic
522C22×C4C2×D2811yescharacteristic
523C22×C4C2×D2811yescharacteristic
524C22×C4C2×D2811yescharacteristic
525C22×C4#115712yes—
526C22×C4C23×D711yescharacteristic
527SD16—148no—
528M16—28no—
529M16—28no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8C2×C4×D712yes—
537C2×C8C2×C4×D712yes—
538C2×C8#115712yes—
539C2×C8#115712yes—
540C2×C8C2×C22⋊D712yes—
541C2×C8C2×C22⋊D712yes—
542C4⋊C4—72no—
543C4⋊C4—72no—
544C4⋊C4—144no—
545C4⋊C4—141no—
546C4⋊C4—141no—
547C4⋊C4—141no—
548C4⋊C4—141no—
549C4⋊C4—141no—
550C4⋊C4—141no—
551C4⋊C4—141no—
552C4⋊C4—141no—
553C4⋊C4—141no—
554C4⋊C4—141no—
555C4⋊C4—282no—
556C4⋊C4—282no—
557C4⋊C4—282no—
558C22⋊C4—144no—
559C22⋊C4—144no—
560C22⋊C4—282no—
561C22⋊C4—282no—
562C22⋊C4—282no—
563C22⋊C4—282no—
564C22⋊C4—282no—
565C42—22no—
566C42—22no—
567C42—21no—
568C42—21no—
569C42—282no—
570C42—282no—
571C42—282no—
572C42#115712yes—
573C42C2×C22⋊D712yes—
574C2×C7—42no—
575C2×C7C4×#12111yescharacteristic
576C2×C7C4×AGL(1,ℤ/8)11yescharacteristic
577C2×C7C4×#13711yescharacteristic
578C2×C7#305511yescharacteristic
579C2×C7#305611yescharacteristic
580C2×C7#318211yescharacteristic
581C2×C7#318311yescharacteristic
582D7—82no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—142no—
590C23—281no—
591C23—281no—
592C23—281no—
593C23—281no—
594C23—281no—
595C23—281no—
596C23C4×D2812yes—
597C23C22×D2811yescharacteristic
598Q8—142no—
599Q8—142no—
600Q8—281no—
601Q8—281no—
602D4—142no—
603D4—142no—
604D4—288no—
605D4—281no—
606D4—281no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—44no—
622C2×C4—44no—
623C2×C4—142no—
624C2×C4—142no—
625C2×C4—142no—
626C2×C4—281no—
627C2×C4—281no—
628C2×C4—281no—
629C2×C4—281no—
630C2×C4—281no—
631C2×C4—281no—
632C2×C4—281no—
633C2×C4—281no—
634C2×C4—281no—
635C2×C4—281no—
636C2×C4—281no—
637C2×C4—281no—
638C2×C4—281no—
639C2×C4—281no—
640C2×C4—281no—
641C2×C4—281no—
642C2×C4—281no—
643C2×C4—281no—
644C2×C4—564no—
645C2×C4C4×D2812yes—
646C2×C4#647112yes—
647C2×C4#647212yes—
648C2×C4#649312yes—
649C2×C4#649312yes—
650C2×C4C22×C4×D711yescharacteristic
651C2×C4C2×#115711yescharacteristic
652C2×C4C2×#115711yescharacteristic
653C2×C4C2×#115711yescharacteristic
654C2×C4C2×#115711yescharacteristic
655C2×C4C22×C22⋊D711yescharacteristic
656C8—22no—
657C8—22no—
658C8—22no—
659C8C4×C22⋊D714yescomplemented
660C7#2154011yescharacteristic, complemented, Sylow
661C22—22no—
662C22—22no—
663C22—22no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—282no—
669C22—282no—
670C22—282no—
671C22—561no—
672C22—561no—
673C22—561no—
674C22—561no—
675C22C2×C4×D2811yescharacteristic
676C22#9016811yescharacteristic
677C22C2×#647111yescharacteristic
678C22C2×#647211yescharacteristic
679C22#9043911yescharacteristic
680C22#9043911yescharacteristic
681C22C2×#649311yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—22no—
686C4—22no—
687C4—282no—
688C4—282no—
689C4—282no—
690C4—561no—
691C4—561no—
692C4—561no—
693C4—561no—
694C4C4×#115711yescharacteristic
695C4#9017011yescharacteristic
696C4C2×C4×C22⋊D711yescharacteristic
697C4#9048211yescharacteristic
698C2—42no—
699C2—562no—
700C2C4×#647111yescharacteristic
701C2#1173597811yescharacteristic
702C2#1173597911yescharacteristic
703C2C4×#647211yescharacteristic
704C2C4×#649311yescharacteristic
705C2#1174121711yescharacteristic
706C2#1174122111yescharacteristic
subgroupG/H
centerC23C22×D28
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC2×C4×C7×M16C2
socleC23×C7C22×D4
prime radicalC2×#6493C22
cosocleC22×C4×C7C24
hypercenterC2×C4×M16D7
hypocenterC7#21540
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C22×C42 ◁ C2×C4×M16

Complements

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

NH ≅ G/Ntype
1. C2×C4×C7×M16C2semidirect
3. C4×#6487C2semidirect
5. C2×#89482C2semidirect
7. #11729743C2semidirect
8. #11729742C2semidirect
9. #11727568C2semidirect
10. #11727567C2semidirect
11. #11727566C2semidirect
12. #11727528C2semidirect
13. #11727524C2semidirect
14. #11727522C2semidirect
15. #11727521C2semidirect
35. #89906C4semidirect
75. C2×C7×M16C2×C4semidirect
103. #6487C2×C4semidirect
113. C2×#1132C2×C4semidirect
119. C7×#97D4semidirect
132. #6395C2×C4semidirect
134. #6392C2×C4semidirect
138. #6390C2×C4semidirect
141. C2×C4×M16D7semidirect
368. C7×C8C4×D4semidirect
384. C2×M16C4×D7semidirect
434. #97C22⋊D7semidirect
659. C8C4×C22⋊D7semidirect
660. C7#21540semidirect

Maximal subgroups

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

subgroupindex
C2×C4×C7×M162
C2×#899062
C4×#64872
C4×#64932
C2×#894822
#117297442
#117297432
#117297422
#117275682
#117275672
#117275662
#117275282
#117275242
#117275222
#117275212
#215407