Finite Group Databasebeta

← #13360284

Subgroups — #13360284

Order 1792.

1138 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×#89550C211yesmaximal, characteristic
2C2×#89530C211yesmaximal, characteristic, complemented
3C2×C4×C8×D7C211yesmaximal, characteristic, complemented
4#11733736C211yesmaximal, characteristic
5#11733410C211yesmaximal, characteristic, complemented
6C7×#1934C211yesmaximal, characteristic, complemented
7#11727956C211yesmaximal, characteristic
8Dic7×#102C211yesmaximal, characteristic, complemented
9#11727521C211yesmaximal, characteristic, complemented
10#11727400C211yesmaximal, characteristic, complemented
11#11727372C211yesmaximal, characteristic, complemented
12#11726636C211yesmaximal, characteristic, complemented
13#11726622C211yesmaximal, characteristic, complemented
14#11726538C211yesmaximal, characteristic, complemented
15#11726535C211yesmaximal, characteristic, complemented
16C2×#6501C2211yescharacteristic
17C2×D4×Dic7C2211yescharacteristic
18C22×#1142C2211yescharacteristic
19C22×C8×D7C2211yescharacteristic
20C22×C8×D7C2211yescharacteristic
21C2×#6460C2211yescharacteristic
22C2×#6450C2211yescharacteristic
23C2×(C22⋊D7)⋊C4—21no—
24C2×C42×D7C2211yescharacteristic
25C2×C7×#102C2211yescharacteristic
26C2×C7×#102C2211yescharacteristic
27C2×C4×C7×C8C2211yescharacteristic
28C7×#390C2211yescharacteristic
29C7×#389C2211yescharacteristic
30C2×#6406C2211yescharacteristic
31C2×#6390C2211yescharacteristic
32C2×#6390C2211yescharacteristic
33C2×C8×Dic7C2211yescharacteristic
34C2×C8×Dic7C2211yescharacteristic
35#89761—21no—
36#89759C2211yescharacteristic
37#89759C2211yescharacteristic
38C4⋊C4×Dic7—21no—
39C4⋊C4×Dic7C2211yescharacteristic
40C4⋊C4×Dic7C2211yescharacteristic
41C2×#6384C2211yescharacteristic
42C2×#6382C2211yescharacteristic
43C2×#6382C2211yescharacteristic
44C2×#6382C2211yescharacteristic
45#89728—21no—
46#89717—21no—
47C22⋊C4×Dic7—21no—
48#89701C2211yescharacteristic
49#89700C2211yescharacteristic
50C2×C4×C7⋊C8C2211yescharacteristic
51#89550C418yescomplemented
52#89530—24no—
53C4×C8×D7—24no—
54#89438—21no—
55#89426—21no—
56C7×#340C2211yescharacteristic
57C7×#340C2211yescharacteristic
58#89346C2211yescharacteristic
59#89346C2211yescharacteristic
60#89324C2211yescharacteristic
61#89324C2211yescharacteristic
62C4×#465—71nomaximal, Sylow
63C22×C7×D4C2311yescharacteristic
64C22×C22⋊D7—21no—
65C23×Dic7—21no—
66C22×C4×D7D411yescharacteristic
67C22×C4×D7D411yescharacteristic
68C22×C4×D7C2311yescharacteristic
69C22×Dic14C2311yescharacteristic
70C22×C7×C8C2311yescharacteristic
71C22×C7×C8C2311yescharacteristic
72C2×C7×C4⋊C4—21no—
73C2×C7×C4⋊C4C2311yescharacteristic
74C2×C7×C4⋊C4C2311yescharacteristic
75C2×C7×C4⋊C4C2311yescharacteristic
76C2×C7×C22⋊C4—21no—
77C2×C7×C22⋊C4—21no—
78C2×C42×C7C2311yescharacteristic
79C2×C22⋊Dic7—21no—
80C2×C22⋊Dic7—21no—
81#6501—22no—
82#6501C2×C414yes—
83D4×Dic7—22no—
84D4×Dic7—22no—
85C2×#1142—22no—
86C2×#1142—22no—
87C2×#1142C2×C414yescomplemented
88C2×(C2×D7)⋊C4—21no—
89C2×(C2×D7)⋊C4—21no—
90C2×(C2×D7)⋊C4—21no—
91C2×C4⋊Dic7—21no—
92C2×C4⋊Dic7C2311yescharacteristic
93C2×C4⋊Dic7C2311yescharacteristic
94C2×C4⋊Dic7C2311yescharacteristic
95C2×Dic7⋊C4—21no—
96C2×Dic7⋊C4—21no—
97C2×C4×Dic7—21no—
98C2×C4×Dic7—21no—
99C2×C4×Dic7—21no—
100C2×C4×Dic7D411yescharacteristic
101C2×C4×Dic7D411yescharacteristic
102C2×C4×Dic7C2311yescharacteristic
103C22×C7⋊C8C2311yescharacteristic
104C22×C7⋊C8C2311yescharacteristic
105C2×C8×D7—22no—
106C2×C8×D7—22no—
107C2×C8×D7—22no—
108C2×C8×D7—22no—
109C2×C8×D7—22no—
110C2×C8×D7C2×C414yescomplemented
111#6460—22no—
112#6460C2×C414yescomplemented
113#6450—22no—
114#6450—22no—
115(C22⋊D7)⋊C4—44no—
116C42×D7—22no—
117C42×D7—22no—
118C7×#102—22no—
119C7×#102C2×C414yescomplemented
120C4×C7×C8—22no—
121C7×#95—21no—
122#6406—22no—
123C7⋊#95—21no—
124C7⋊#95—21no—
125C7⋊#95—21no—
126C7⋊#95—21no—
127C7⋊#95—21no—
128C7⋊#95—21no—
129C7⋊#95—21no—
130#6390—22no—
131#6390C2×C414yescomplemented
132C8×Dic7—22no—
133C8×Dic7D414yescomplemented
134#6384—22no—
135#6382—22no—
136#6382—22no—
137#6382C2×C414yescomplemented
138C4×C7⋊C8—22no—
139C2×#465—71no—
140C2×C4×SD16—71no—
141C22×C4×C8—71no—
142C4×C22⋊Q8—71no—
143C4×#121—71no—
144#1968—71no—
145#1941—71no—
146#1934D711yescharacteristic, complemented
147#1933—71no—
148#1893—71no—
149#1892—71no—
150#1807—71no—
151C4×#106—71no—
152C4×#103—71no—
153C4×#102—71no—
154C24×C7—21no—
155C23×D7C2×D411yescharacteristic
156C2×C7×D4—21no—
157C2×C7×D4—21no—
158C2×C7×D4—21no—
159C2×C7×D4—21no—
160C2×C7×D4—21no—
161C2×C7×D4C22×C412yes—
162C22×C4×C7—21no—
163C22×C4×C7—21no—
164C22×C4×C7—21no—
165C22×C4×C7C2×D411yescharacteristic
166C22×C4×C7C2×D411yescharacteristic
167C22×C4×C7C2411yescharacteristic
168C2×C22⋊D7—24no—
169C2×C22⋊D7—42no—
170C2×C22⋊D7—42no—
171C22×Dic7—21no—
172C22×Dic7—21no—
173C22×Dic7—21no—
174C22×Dic7—21no—
175C22×Dic7—42no—
176C22×Dic7—42no—
177C22×Dic7—42no—
178C22×Dic7C2×D411yescharacteristic
179C22×Dic7C2×D411yescharacteristic
180C22×Dic7C2×D411yescharacteristic
181C2×C4×D7—22no—
182C2×C4×D7—22no—
183C2×C4×D7—21no—
184C2×C4×D7—21no—
185C2×C4×D7—21no—
186C2×C4×D7—21no—
187C2×C4×D7—22no—
188C2×C4×D7—22no—
189C2×C4×D7—22no—
190C2×C4×D7SD1614yescomplemented
191C2×C4×D7C22×C412yes—
192C2×C4×D7#4112yes—
193C2×Dic14—21no—
194C2×Dic14—21no—
195C2×Dic14—21no—
196C2×Dic14—21no—
197C2×Dic14—21no—
198C2×Dic14C22×C412yes—
199C2×C7×C8—21no—
200C2×C7×C8—21no—
201C2×C7×C8—21no—
202C2×C7×C8—21no—
203C2×C7×C8C22×C412yes—
204C2×C7×C8C2×D412yes—
205C7×C4⋊C4—21no—
206C7×C4⋊C4—21no—
207C7×C4⋊C4—21no—
208C7×C4⋊C4—21no—
209C7×C4⋊C4—21no—
210C7×C4⋊C4—42no—
211C7×C4⋊C4C22×C412yes—
212C7×C22⋊C4—42no—
213C7×C22⋊C4—42no—
214C42×C7—21no—
215C42×C7—21no—
216C22⋊Dic7—24no—
217C22⋊Dic7—42no—
218#1142—28no—
219(C2×D7)⋊C4—24no—
220(C2×D7)⋊C4—42no—
221(C2×D7)⋊C4—42no—
222C4⋊Dic7—21no—
223C4⋊Dic7—24no—
224C4⋊Dic7—21no—
225C4⋊Dic7—21no—
226C4⋊Dic7—21no—
227C4⋊Dic7—21no—
228C4⋊Dic7C22×C412yes—
229Dic7⋊C4—42no—
230Dic7⋊C4—42no—
231C4×Dic7—22no—
232C4×Dic7—22no—
233C4×Dic7—42no—
234C4×Dic7—42no—
235C4×Dic7—42no—
236C4×Dic7C2×D412yes—
237C4×Dic7#4112yes—
238C2×C7⋊C8—21no—
239C2×C7⋊C8—21no—
240C2×C7⋊C8C22×C412yes—
241C2×C7⋊C8C2×D412yes—
242C2×C7⋊C8#4112yes—
243C2×C7⋊C8#4112yes—
244C8×D7—28no—
245C8×D7—28no—
246C22×SD16—71no—
247C23×C8—71no—
248C23×C8—71no—
249C2×C22⋊Q8—71no—
250C2×#121—71no—
251C2×C4×Q8—71no—
252C2×C4×D4—71no—
253C2×C4×D4—141no—
254C22×C42—71no—
255#465—78no—
256C4×SD16—144no—
257C2×#106—71no—
258C2×#106—71no—
259C2×#106—71no—
260C2×#103—71no—
261C2×#103—71no—
262C2×#103—71no—
263C2×#102—71no—
264C2×#102C2×D711yescharacteristic
265C2×#102C2×D711yescharacteristic
266C2×C4×C8—71no—
267C2×C4×C8—71no—
268C2×C4×C8—71no—
269C2×C4×C8—144no—
270C2×C4×C8C2×D711yescharacteristic
271#391—71no—
272#390C2×D711yescharacteristic
273#389—71no—
274#389C2×D711yescharacteristic
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#340C2×D711yescharacteristic
291#340C2×D711yescharacteristic
292C23×C7—22no—
293C23×C7—41no—
294C23×C7—41no—
295C23×C7—41no—
296C23×C7—41no—
297C23×C7—41no—
298C23×C7—41no—
299C23×C7C22×D411yescharacteristic
300C22×D7—21no—
301C22×D7—21no—
302C22×D7—21no—
303C22×D7—21no—
304C22×D7C4×D412yes—
305C22×D7C2×SD1612yes—
306C22×D7#13512yes—
307C7×D4—22no—
308C7×D4—22no—
309C7×D4—41no—
310C7×D4—41no—
311C2×C4×C7—21no—
312C2×C4×C7—21no—
313C2×C4×C7—21no—
314C2×C4×C7—21no—
315C2×C4×C7—22no—
316C2×C4×C7—41no—
317C2×C4×C7—41no—
318C2×C4×C7—41no—
319C2×C4×C7—41no—
320C2×C4×C7—41no—
321C2×C4×C7—41no—
322C2×C4×C7—41no—
323C2×C4×C7—41no—
324C2×C4×C7C2×SD1612yes—
325C2×C4×C7#13512yes—
326C2×C4×C7C23×C411yescharacteristic
327C2×C4×C7C22×D411yescharacteristic
328C2×C4×C7C2×#4111yescharacteristic
329C2×C4×C7C2×#4111yescharacteristic
330C2×C4×C7C2×#4111yescharacteristic
331C2×C4×C7C2×#4111yescharacteristic
332C22⋊D7—48no—
333C2×Dic7—21no—
334C2×Dic7—21no—
335C2×Dic7—21no—
336C2×Dic7—21no—
337C2×Dic7—22no—
338C2×Dic7—22no—
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—84no—
350C2×Dic7C4×D412yes—
351C2×Dic7#12112yes—
352C2×Dic7#12112yes—
353C2×Dic7C2×SD1612yes—
354C2×Dic7#13512yes—
355C4×D7—28no—
356C4×D7—22no—
357C4×D7—22no—
358C4×D7—22no—
359C4×D7—22no—
360C4×D7—28no—
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—141no—
371C22×D4C22×D711yescharacteristic
372C23×C4—71no—
373C23×C4—71no—
374C23×C4—71no—
375C23×C4—141no—
376C2×SD16—74no—
377C2×SD16—142no—
378C2×SD16—142no—
379C22×C8—71no—
380C22×C8—71no—
381C22×C8—74no—
382C22×C8—142no—
383C22×C8—142no—
384C22×C8—142no—
385C22×C8—142no—
386C22×C8—142no—
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—21no—
399C2×C4⋊C4—71no—
400C2×C4⋊C4—71no—
401C2×C4⋊C4—71no—
402C2×C4⋊C4—141no—
403C2×C4⋊C4—141no—
404C2×C4⋊C4—141no—
405C2×C4⋊C4C22×D711yescharacteristic
406C2×C4⋊C4C22×D711yescharacteristic
407C2×C4⋊C4C22×D711yescharacteristic
408C2×C22⋊C4—21no—
409C2×C22⋊C4—21no—
410C2×C22⋊C4—141no—
411C2×C22⋊C4—141no—
412C2×C22⋊C4—141no—
413C2×C22⋊C4—141no—
414C2×C22⋊C4—141no—
415C2×C42—71no—
416C2×C42—71no—
417C2×C42—71no—
418C2×C42—142no—
419C2×C42—142no—
420C2×C42—141no—
421C2×C42—141no—
422C2×C42—141no—
423C2×C42C22×D711yescharacteristic
424#106—74no—
425#106—142no—
426#106—142no—
427#103—74no—
428#103—142no—
429#103—142no—
430#102—22no—
431#102—142no—
432#102C4×D714yescomplemented
433C4×C8—22no—
434C4×C8—74no—
435C4×C8—142no—
436C4×C8—142no—
437#95—21no—
438#95—141no—
439#95—141no—
440#95—141no—
441#95—141no—
442#95—141no—
443#95—141no—
444#95—141no—
445C22×C7—42no—
446C22×C7—42no—
447C22×C7—42no—
448C22×C7—81no—
449C22×C7—81no—
450C22×C7—81no—
451C22×C7—81no—
452C22×C7C2×C4×D411yescharacteristic
453C22×C7C2×#12111yescharacteristic
454C22×C7#53211yescharacteristic
455C22×C7C22×SD1611yescharacteristic
456C22×C7C2×#13511yescharacteristic
457C22×C7C2×#13511yescharacteristic
458C22×C7C2×#13511yescharacteristic
459C2×D7—22no—
460C2×D7—22no—
461C2×D7—22no—
462C2×D7—22no—
463C2×D7—22no—
464C2×D7—22no—
465C2×D7C4×SD1614yescomplemented
466C4×C7—22no—
467C4×C7—22no—
468C4×C7—42no—
469C4×C7—81no—
470C4×C7—81no—
471C4×C7C2×C4×D411yescharacteristic
472C4×C7C4×#4111yescharacteristic
473C4×C7#52511yescharacteristic
474C4×C7#52911yescharacteristic
475Dic7—22no—
476Dic7—22no—
477Dic7—42no—
478Dic7—42no—
479Dic7—81no—
480Dic7—81no—
481Dic7#46514yescomplemented
482C24—21no—
483C24—71no—
484C2×Q8—72no—
485C2×Q8—141no—
486C2×Q8—141no—
487C2×Q8—141no—
488C2×Q8—141no—
489C2×Q8—141no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—144no—
496C2×D4—282no—
497C2×D4—282no—
498C2×D4C2×C4×D712yes—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—71no—
503C22×C4—71no—
504C22×C4—71no—
505C22×C4—74no—
506C22×C4—72no—
507C22×C4—72no—
508C22×C4—142no—
509C22×C4—142no—
510C22×C4—142no—
511C22×C4—142no—
512C22×C4—142no—
513C22×C4—141no—
514C22×C4—141no—
515C22×C4—141no—
516C22×C4—141no—
517C22×C4—141no—
518C22×C4—141no—
519C22×C4—141no—
520C22×C4—141no—
521C22×C4—282no—
522C22×C4—282no—
523C22×C4—282no—
524C22×C4D4×D711yescharacteristic
525C22×C4D4×D711yescharacteristic
526C22×C4C23×D711yescharacteristic
527SD16—148no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—72no—
533C2×C8—72no—
534C2×C8—72no—
535C2×C8—72no—
536C2×C8—148no—
537C2×C8—148no—
538C2×C8—141no—
539C2×C8—141no—
540C2×C8C2×C4×D712yes—
541C2×C8D4×D712yes—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—42no—
548C4⋊C4—72no—
549C4⋊C4—144no—
550C4⋊C4—141no—
551C4⋊C4—141no—
552C4⋊C4—141no—
553C4⋊C4—141no—
554C4⋊C4—141no—
555C4⋊C4—282no—
556C4⋊C4—282no—
557C4⋊C4C2×C4×D712yes—
558C22⋊C4—42no—
559C22⋊C4—42no—
560C22⋊C4—144no—
561C22⋊C4—144no—
562C22⋊C4—282no—
563C22⋊C4—282no—
564C22⋊C4—282no—
565C42—21no—
566C42—21no—
567C42—72no—
568C42—72no—
569C42—142no—
570C42—142no—
571C42—282no—
572C42—282no—
573C42—282no—
574C2×C7—82no—
575C2×C7C4×#12111yescharacteristic
576C2×C7C2×C4×SD1611yescharacteristic
577C2×C7C4×#13511yescharacteristic
578C2×C7C2×#46511yescharacteristic
579C2×C7#305011yescharacteristic
580C2×C7#316711yescharacteristic
581C2×C7#316811yescharacteristic
582D7—24no—
583C23—22no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—72no—
591C23—72no—
592C23—72no—
593C23—141no—
594C23—141no—
595C23—141no—
596C23—141no—
597C23C2×D4×D711yescharacteristic
598Q8—142no—
599Q8—142no—
600Q8—281no—
601Q8—281no—
602D4—22no—
603D4—22no—
604D4—41no—
605D4—41no—
606D4—288no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—22no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—72no—
621C2×C4—72no—
622C2×C4—72no—
623C2×C4—72no—
624C2×C4—72no—
625C2×C4—148no—
626C2×C4—148no—
627C2×C4—141no—
628C2×C4—141no—
629C2×C4—141no—
630C2×C4—141no—
631C2×C4—142no—
632C2×C4—142no—
633C2×C4—142no—
634C2×C4—142no—
635C2×C4—142no—
636C2×C4—142no—
637C2×C4—281no—
638C2×C4—281no—
639C2×C4—281no—
640C2×C4—281no—
641C2×C4—281no—
642C2×C4—281no—
643C2×C4—281no—
644C2×C4—281no—
645C2×C4—281no—
646C2×C4—281no—
647C2×C4—564no—
648C2×C4#647512yes—
649C2×C4D7×SD1612yes—
650C2×C4C22×C4×D711yescharacteristic
651C2×C4C2×D4×D711yescharacteristic
652C2×C4D7×#4111yescharacteristic
653C2×C4D7×#4111yescharacteristic
654C2×C4D7×#4111yescharacteristic
655C2×C4D7×#4111yescharacteristic
656C8—22no—
657C8—22no—
658C8—74no—
659C8—142no—
660C7C4×#46511yescharacteristic, complemented, Sylow
661C22—42no—
662C22—42no—
663C22—42no—
664C22—74no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22—142no—
670C22—142no—
671C22—142no—
672C22—142no—
673C22—142no—
674C22—142no—
675C22C4×D4×D711yescharacteristic
676C22D7×#12111yescharacteristic
677C22#9035911yescharacteristic
678C22C2×#647511yescharacteristic
679C22C2×D7×SD1611yescharacteristic
680C22D7×#13511yescharacteristic
681C22D7×#13511yescharacteristic
682C4—22no—
683C4—22no—
684C4—42no—
685C4—74no—
686C4—81no—
687C4—81no—
688C4—142no—
689C4—142no—
690C4—282no—
691C4—282no—
692C4—561no—
693C4—561no—
694C4#9021311yescharacteristic
695C4C4×D4×D711yescharacteristic
696C4#9034711yescharacteristic
697C4#9039711yescharacteristic
698C2—82no—
699C2—144no—
700C2#1173289711yescharacteristic
701C2C4×#647511yescharacteristic
702C2C4×D7×SD1611yescharacteristic
703C2D7×#46511yescharacteristic
704C2#1173815911yescharacteristic
705C2#1173900111yescharacteristic
706C2#1173907311yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC7×#1934C2
socleC23×C7C22×D4
prime radicalC2×#6501C22
cosocleC22×C4×C7C24
hypercenter#1934D7
hypocenterC7C4×#465
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1934

Complements

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

NH ≅ G/Ntype
2. C2×#89530C2semidirect
3. C2×C4×C8×D7C2semidirect
5. #11733410C2semidirect
6. C7×#1934C2semidirect
8. Dic7×#102C2semidirect
9. #11727521C2semidirect
10. #11727400C2semidirect
11. #11727372C2semidirect
12. #11726636C2semidirect
13. #11726622C2semidirect
14. #11726538C2semidirect
15. #11726535C2semidirect
51. #89550C4semidirect
87. C2×#1142C2×C4semidirect
110. C2×C8×D7C2×C4semidirect
112. #6460C2×C4semidirect
119. C7×#102C2×C4semidirect
131. #6390C2×C4semidirect
133. C8×Dic7D4semidirect
137. #6382C2×C4semidirect
146. #1934D7semidirect
190. C2×C4×D7SD16semidirect
368. C7⋊C8C4×D4semidirect
432. #102C4×D7semidirect
465. C2×D7C4×SD16semidirect
481. Dic7#465semidirect
660. C7C4×#465semidirect

Maximal subgroups

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

subgroupindex
C2×#895502
C2×#895302
C2×C4×C8×D72
#117337362
#117334102
C7×#19342
#117279562
Dic7×#1022
#117275212
#117274002
#117273722
#117266362
#117266222
#117265382
#117265352
C4×#4657