Finite Group Databasebeta

← C4×#89946 #13360419

Subgroups — C4×#89946 #13360419

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×SD16C211yesmaximal, characteristic, complemented
2C2×#89946C211yesmaximal, characteristic
3C4×#6509C211yesmaximal, characteristic, complemented
4C4×#6501C211yesmaximal, characteristic
5C2×C4×#1131C211yesmaximal, characteristic, complemented
6#11729804C211yesmaximal, characteristic, complemented
7C4×#6409C211yesmaximal, characteristic, complemented
8C4×#6406C211yesmaximal, characteristic, complemented
9#11728332C211yesmaximal, characteristic, complemented
10#11728315C211yesmaximal, characteristic, complemented
11#11728025C211yesmaximal, characteristic, complemented
12#11728010C211yesmaximal, characteristic, complemented
13#11727957C211yesmaximal, characteristic
14#11727942C211yesmaximal, characteristic, complemented
15C4×#6392C211yesmaximal, characteristic, complemented
16C22×C7×SD16C2211yescharacteristic
17C2×C4×C7×Q8C2211yescharacteristic
18C2×C4×C7×D4C2211yescharacteristic
19C2×#6509C2211yescharacteristic
20C2×#6501C2211yescharacteristic
21C2×C4×C22⋊D7—21no—
22C22×#1131C2211yescharacteristic
23C22×#1131C2211yescharacteristic
24C2×C42×D7C2211yescharacteristic
25C4×C7×SD16—24no—
26C2×C7×#106C2211yescharacteristic
27C2×C7×#103C2211yescharacteristic
28C2×C7×#102C2211yescharacteristic
29C2×C4×C7×C8C2211yescharacteristic
30#90002C2211yescharacteristic
31C2×#6409C2211yescharacteristic
32C2×#6409C2211yescharacteristic
33#89993C2211yescharacteristic
34C2×#6406C2211yescharacteristic
35C2×#6406C2211yescharacteristic
36C4×C22⋊Dic7—21no—
37#89946C418yesdirect product factor
38C2×#6392C2211yescharacteristic
39C2×#6392C2211yescharacteristic
40C2×#6389C2211yescharacteristic
41C2×#6389C2211yescharacteristic
42#89761—21no—
43#89759C2211yescharacteristic
44#89759C2211yescharacteristic
45#89750—21no—
46#89745C2211yescharacteristic
47#89745C2211yescharacteristic
48#89728—21no—
49#89716—21no—
50C4×(C2×D7)⋊C4—21no—
51C4×C4⋊Dic7C2211yescharacteristic
52C4×C4⋊Dic7C2211yescharacteristic
53C4×Dic7⋊C4—21no—
54C2×C4×C7⋊C8C2211yescharacteristic
55C4×#1131—24no—
56#89346C2211yescharacteristic
57#89346C2211yescharacteristic
58#89324C2211yescharacteristic
59#89324C2211yescharacteristic
60#89324C2211yescharacteristic
61#89324C2211yescharacteristic
62C4×#468—71nomaximal, Sylow
63C22×C7×Q8C2311yescharacteristic
64C22×C7×D4C2311yescharacteristic
65C23×C4×C7—21no—
66C22×C22⋊D7—21no—
67C22×C4×D7D411yescharacteristic
68C22×C4×D7D411yescharacteristic
69C22×C4×D7C2311yescharacteristic
70C2×C7×SD16—22no—
71C2×C7×SD16—22no—
72C2×C7×SD16C2×C414yescomplemented
73C22×C7×C8C2311yescharacteristic
74C22×C7×C8C2311yescharacteristic
75C4×C7×Q8—22no—
76C4×C7×Q8—22no—
77C4×C7×D4—22no—
78C4×C7×D4—22no—
79C2×C7×C4⋊C4—21no—
80C2×C7×C4⋊C4C2311yescharacteristic
81C2×C7×C4⋊C4C2311yescharacteristic
82C2×C7×C22⋊C4—21no—
83C2×C42×C7—21no—
84C2×C42×C7C2311yescharacteristic
85C2×C22⋊Dic7—21no—
86C2×C22⋊Dic7—21no—
87C2×C22⋊Dic7—21no—
88#6509—22no—
89#6509C2×C414yescomplemented
90#6501—22no—
91#6501C2×C414yes—
92C4×C22⋊D7—44no—
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×Dic7⋊C4—21no—
101C2×Dic7⋊C4—21no—
102C2×Dic7⋊C4—21no—
103C2×C4×Dic7—21no—
104C2×C4×Dic7—21no—
105C2×C4×Dic7D411yescharacteristic
106C2×C4×Dic7D411yescharacteristic
107C2×C4×Dic7C2311yescharacteristic
108C22×C7⋊C8C2311yescharacteristic
109C22×C7⋊C8C2311yescharacteristic
110C2×#1131—22no—
111C2×#1131—22no—
112C2×#1131—22no—
113C2×#1131—22no—
114C2×#1131—22no—
115C2×#1131C2×C414yescomplemented
116C42×D7—22no—
117C42×D7—22no—
118C7×#106—22no—
119C7×#103—22no—
120C7×#102—22no—
121C4×C7×C8D414yescomplemented
122#6409—22no—
123#6409C2×C414yescomplemented
124#6406—22no—
125#6406C2×C414yescomplemented
126C7⋊#95—21no—
127C7⋊#95—21no—
128C7⋊#95—21no—
129C7⋊#95—21no—
130C7⋊#95—21no—
131C7⋊#95—21no—
132C7⋊#95—21no—
133C7⋊#95—21no—
134#6392—22no—
135#6392C2×C414yescomplemented
136#6389—22no—
137#6389—22no—
138C4×C7⋊C8—22no—
139C2×#468—71no—
140C2×C4×SD16D711yescharacteristic, complemented
141C2×C4×M16—71no—
142C4×C22⋊Q8—71no—
143C4×#121—71no—
144#1973—71no—
145#1943—71no—
146#1936—71no—
147#1935—71no—
148#1895—71no—
149#1894—71no—
150#1809—71no—
151C4×#107—71no—
152C4×#103—71no—
153C4×#102—71no—
154C24×C7—21no—
155C23×D7C2×D411yescharacteristic
156C2×C7×Q8—21no—
157C2×C7×Q8—21no—
158C2×C7×Q8—21no—
159C2×C7×Q8—21no—
160C2×C7×Q8—21no—
161C2×C7×Q8C22×C412yes—
162C2×C7×D4—21no—
163C2×C7×D4—21no—
164C2×C7×D4—21no—
165C2×C7×D4—21no—
166C2×C7×D4—21no—
167C2×C7×D4C22×C412yes—
168C22×C4×C7—21no—
169C22×C4×C7—21no—
170C22×C4×C7—21no—
171C22×C4×C7—42no—
172C22×C4×C7—42no—
173C22×C4×C7—42no—
174C22×C4×C7C2×D411yescharacteristic
175C22×C4×C7C2×D411yescharacteristic
176C22×C4×C7C2411yescharacteristic
177C2×C22⋊D7—24no—
178C2×C22⋊D7—42no—
179C2×C22⋊D7—42no—
180C22×Dic7—21no—
181C22×Dic7—21no—
182C22×Dic7—21no—
183C22×Dic7—21no—
184C22×Dic7C2×D411yescharacteristic
185C22×Dic7C2×D411yescharacteristic
186C22×Dic7C2×D411yescharacteristic
187C2×C4×D7—21no—
188C2×C4×D7—21no—
189C2×C4×D7—21no—
190C2×C4×D7—21no—
191C2×C4×D7—22no—
192C2×C4×D7—22no—
193C2×C4×D7—22no—
194C2×C4×D7—22no—
195C2×C4×D7—41no—
196C2×C4×D7—41no—
197C2×C4×D7C22×C412yes—
198C2×C4×D7#4112yes—
199C7×SD16—28no—
200C2×C7×C8—21no—
201C2×C7×C8—21no—
202C2×C7×C8C22×C412yes—
203C2×C7×C8C2×D412yes—
204C2×C7×C8C2×D412yes—
205C2×C7×C8#4112yes—
206C7×C4⋊C4—21no—
207C7×C4⋊C4—21no—
208C7×C4⋊C4—21no—
209C7×C4⋊C4—21no—
210C7×C4⋊C4—42no—
211C7×C22⋊C4—42no—
212C42×C7—42no—
213C42×C7C2×D412yes—
214C42×C7#4112yes—
215C22⋊Dic7—24no—
216C22⋊Dic7—42no—
217C22⋊Dic7—42no—
218(C2×D7)⋊C4—24no—
219(C2×D7)⋊C4—42no—
220(C2×D7)⋊C4—42no—
221C4⋊Dic7—21no—
222C4⋊Dic7—21no—
223C4⋊Dic7—21no—
224C4⋊Dic7—21no—
225C4⋊Dic7—21no—
226C4⋊Dic7—21no—
227C4⋊Dic7C22×C412yes—
228C4⋊Dic7C22×C412yes—
229Dic7⋊C4—24no—
230Dic7⋊C4—42no—
231Dic7⋊C4—42no—
232C4×Dic7—22no—
233C4×Dic7—22no—
234C4×Dic7—21no—
235C4×Dic7—21no—
236C4×Dic7—42no—
237C4×Dic7—42no—
238C2×C7⋊C8—21no—
239C2×C7⋊C8—21no—
240C2×C7⋊C8—21no—
241C2×C7⋊C8—21no—
242C2×C7⋊C8C22×C412yes—
243C2×C7⋊C8#4112yes—
244#1131—28no—
245#1131—28no—
246C22×SD16C2×D711yescharacteristic
247C22×M16—71no—
248C22×M16—71no—
249C2×C22⋊Q8—71no—
250C2×#121—71no—
251C2×C4×Q8C2×D711yescharacteristic
252C2×C4×D4—141no—
253C2×C4×D4C2×D711yescharacteristic
254C22×C42—71no—
255#468—78no—
256C4×SD16—24no—
257C2×#107—71no—
258C2×#107—71no—
259C2×#106C2×D711yescharacteristic
260C2×#103—71no—
261C2×#103—71no—
262C2×#103C2×D711yescharacteristic
263C2×#102—71no—
264C2×#102—71no—
265C2×#102C2×D711yescharacteristic
266C4×M16—144no—
267C2×#97—71no—
268C2×#97—71no—
269C2×C4×C8—71no—
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—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×D7—21no—
305C22×D7—21no—
306C22×D7C4×D412yes—
307C7×Q8—22no—
308C7×Q8—22no—
309C7×Q8—41no—
310C7×Q8—41no—
311C7×D4—22no—
312C7×D4—22no—
313C7×D4—41no—
314C7×D4—41no—
315C2×C4×C7—21no—
316C2×C4×C7—21no—
317C2×C4×C7—22no—
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×C7—41no—
325C2×C4×C7—41no—
326C2×C4×C7—84no—
327C2×C4×C7#12112yes—
328C2×C4×C7#12112yes—
329C2×C4×C7AGL(1,ℤ/8)12yes—
330C2×C4×C7#13712yes—
331C2×C4×C7C23×C411yescharacteristic
332C2×C4×C7C22×D411yescharacteristic
333C2×C4×C7C2×#4111yescharacteristic
334C2×C4×C7C2×#4111yescharacteristic
335C2×C4×C7C2×#4111yescharacteristic
336C2×C4×C7C2×#4111yescharacteristic
337C22⋊D7—48no—
338C2×Dic7—21no—
339C2×Dic7—21no—
340C2×Dic7—22no—
341C2×Dic7—22no—
342C2×Dic7—21no—
343C2×Dic7—21no—
344C2×Dic7—21no—
345C2×Dic7—21no—
346C2×Dic7—21no—
347C2×Dic7—21no—
348C2×Dic7—41no—
349C2×Dic7—41no—
350C2×Dic7—41no—
351C2×Dic7—41no—
352C2×Dic7—41no—
353C2×Dic7—41no—
354C2×Dic7—41no—
355C2×Dic7—41no—
356C2×Dic7—41no—
357C2×Dic7—41no—
358C2×Dic7C4×D412yes—
359C4×D7—22no—
360C4×D7—22no—
361C4×D7—22no—
362C4×D7—22no—
363C4×D7—44no—
364C4×D7—44no—
365C7×C8—22no—
366C7×C8C4×D414yescomplemented
367C7⋊C8—22no—
368C7⋊C8—22no—
369C22×Q8C22×D711yescharacteristic
370C22×D4—141no—
371C22×D4C22×D711yescharacteristic
372C23×C4—21no—
373C23×C4—71no—
374C23×C4—71no—
375C23×C4—71no—
376C2×SD16—22no—
377C2×SD16—22no—
378C2×SD16C4×D714yescomplemented
379C2×M16—74no—
380C2×M16—142no—
381C2×M16—142no—
382C2×M16—142no—
383C2×M16—142no—
384C2×M16—142no—
385C22×C8—71no—
386C22×C8—71no—
387C22×C8C22×D711yescharacteristic
388C22×C8C22×D711yescharacteristic
389C22⋊Q8—74no—
390C22⋊Q8—142no—
391#121—74no—
392#121—142no—
393C4×Q8—22no—
394C4×Q8—22no—
395C4×D4—22no—
396C4×D4—22no—
397C4×D4—284no—
398C2×C4⋊C4—21no—
399C2×C4⋊C4—71no—
400C2×C4⋊C4—71no—
401C2×C4⋊C4—71no—
402C2×C4⋊C4—71no—
403C2×C4⋊C4—141no—
404C2×C4⋊C4—141no—
405C2×C4⋊C4—141no—
406C2×C4⋊C4C22×D711yescharacteristic
407C2×C4⋊C4C22×D711yescharacteristic
408C2×C22⋊C4—21no—
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—21no—
416C2×C42—71no—
417C2×C42—71no—
418C2×C42—71no—
419C2×C42—142no—
420C2×C42—142no—
421C2×C42—141no—
422C2×C42—141no—
423C2×C42C22×D711yescharacteristic
424#107—74no—
425#107—142no—
426#106—22no—
427#103—22no—
428#103—74no—
429#103—142no—
430#102—22no—
431#102—74no—
432#102—142no—
433#97—142no—
434#97—142no—
435C4×C8—142no—
436C4×C8C22⋊D714yescomplemented
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—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×C7C2×AGL(1,ℤ/8)11yescharacteristic
456C22×C7C2×#13711yescharacteristic
457C22×C7#57511yescharacteristic
458C22×C7#57511yescharacteristic
459C2×D7—22no—
460C2×D7—22no—
461C2×D7—22no—
462C2×D7—41no—
463C2×D7—41no—
464C2×D7—41no—
465C2×D7—41no—
466C4×C7—22no—
467C4×C7—42no—
468C4×C7—81no—
469C4×C7—81no—
470C4×C7#46814yescomplemented
471C4×C7C2×C4×D411yescharacteristic
472C4×C7C4×#4111yescharacteristic
473C4×C7#52511yescharacteristic
474C4×C7#52911yescharacteristic
475Dic7—22no—
476Dic7—42no—
477Dic7—42no—
478Dic7—41no—
479Dic7—41no—
480Dic7—81no—
481Dic7—81no—
482C24—21no—
483C24—71no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8C2×C4×D712yes—
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—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—71no—
506C22×C4—72no—
507C22×C4—72no—
508C22×C4—71no—
509C22×C4—71no—
510C22×C4—141no—
511C22×C4—141no—
512C22×C4—141no—
513C22×C4—141no—
514C22×C4—141no—
515C22×C4—141no—
516C22×C4—142no—
517C22×C4—142no—
518C22×C4—142no—
519C22×C4—142no—
520C22×C4—141no—
521C22×C4—141no—
522C22×C4—281no—
523C22×C4—281no—
524C22×C4D4×D711yescharacteristic
525C22×C4D4×D711yescharacteristic
526C22×C4C23×D711yescharacteristic
527SD16—28no—
528M16—148no—
529M16—148no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—72no—
533C2×C8—72no—
534C2×C8—141no—
535C2×C8—141no—
536C2×C8—141no—
537C2×C8—141no—
538C2×C8C2×C4×D712yes—
539C2×C8#115712yes—
540C2×C8C2×C22⋊D712yes—
541C2×C8C2×C22⋊D712yes—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—42no—
547C4⋊C4—72no—
548C4⋊C4—72no—
549C4⋊C4—144no—
550C4⋊C4—141no—
551C4⋊C4—141no—
552C4⋊C4—141no—
553C4⋊C4—141no—
554C4⋊C4—141no—
555C4⋊C4—141no—
556C4⋊C4—282no—
557C4⋊C4—282no—
558C22⋊C4—42no—
559C22⋊C4—144no—
560C22⋊C4—144no—
561C22⋊C4—282no—
562C22⋊C4—282no—
563C22⋊C4—282no—
564C22⋊C4—282no—
565C42—42no—
566C42—142no—
567C42—142no—
568C42—141no—
569C42—141no—
570C42—282no—
571C42—282no—
572C42#115912yes—
573C42C2×C22⋊D712yes—
574C2×C7—82no—
575C2×C7C4×#12111yescharacteristic
576C2×C7C4×AGL(1,ℤ/8)11yescharacteristic
577C2×C7C4×#13711yescharacteristic
578C2×C7C2×#46811yescharacteristic
579C2×C7#305411yescharacteristic
580C2×C7#317111yescharacteristic
581C2×C7#317211yescharacteristic
582D7—42no—
583C23—22no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—72no—
591C23—141no—
592C23—141no—
593C23—141no—
594C23—141no—
595C23—141no—
596C23—141no—
597C23C2×D4×D711yescharacteristic
598Q8—22no—
599Q8—22no—
600Q8—41no—
601Q8—41no—
602D4—22no—
603D4—22no—
604D4—41no—
605D4—41no—
606D4—288no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—22no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—72no—
619C2×C4—84no—
620C2×C4—141no—
621C2×C4—141no—
622C2×C4—142no—
623C2×C4—142no—
624C2×C4—142no—
625C2×C4—142no—
626C2×C4—141no—
627C2×C4—141no—
628C2×C4—141no—
629C2×C4—141no—
630C2×C4—142no—
631C2×C4—142no—
632C2×C4—141no—
633C2×C4—141no—
634C2×C4—284no—
635C2×C4—281no—
636C2×C4—281no—
637C2×C4—281no—
638C2×C4—281no—
639C2×C4—284no—
640C2×C4—281no—
641C2×C4—281no—
642C2×C4—281no—
643C2×C4—281no—
644C2×C4—281no—
645C2×C4—281no—
646C2×C4#647712yes—
647C2×C4#647812yes—
648C2×C4#650112yes—
649C2×C4#650112yes—
650C2×C4C22×C4×D711yescharacteristic
651C2×C4C2×#115711yescharacteristic
652C2×C4C2×#115911yescharacteristic
653C2×C4D7×#4111yescharacteristic
654C2×C4D7×#4111yescharacteristic
655C2×C4C22×C22⋊D711yescharacteristic
656C8—22no—
657C8—142no—
658C8—142no—
659C8C4×C22⋊D714yescomplemented
660C7C4×#46811yescharacteristic, complemented, Sylow
661C22—42no—
662C22—42no—
663C22—42no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—142no—
669C22—142no—
670C22—142no—
671C22—281no—
672C22—281no—
673C22—281no—
674C22—281no—
675C22C4×D4×D711yescharacteristic
676C22#9023911yescharacteristic
677C22C2×#647711yescharacteristic
678C22C2×#647811yescharacteristic
679C22#9045911yescharacteristic
680C22#9045911yescharacteristic
681C22C2×#650111yescharacteristic
682C4—22no—
683C4—42no—
684C4—81no—
685C4—81no—
686C4—142no—
687C4—282no—
688C4—282no—
689C4—281no—
690C4—281no—
691C4—561no—
692C4—561no—
693C4#8994614yesdirect product factor
694C4C4×#115911yescharacteristic
695C4#9024811yescharacteristic
696C4C2×C4×C22⋊D711yescharacteristic
697C4#9051911yescharacteristic
698C2—82no—
699C2—282no—
700C2C4×#647711yescharacteristic
701C2C4×#647811yescharacteristic
702C2#1173710911yescharacteristic
703C2#1173711011yescharacteristic
704C2C4×#650111yescharacteristic
705C2C2×#8994611yescharacteristic
706C2#1174136011yescharacteristic
subgroupG/H
centerC22×C4D4×D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC2×C4×C7×SD16C2
socleC23×C7C22×D4
prime radicalC2×#6501C22
cosocleC22×C4×C7C24
hypercenterC2×C4×SD16D7
hypocenterC7C4×#468
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C2×C4×SD16

Complements

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

NH ≅ G/Ntype
1. C2×C4×C7×SD16C2semidirect
3. C4×#6509C2semidirect
5. C2×C4×#1131C2semidirect
6. #11729804C2semidirect
7. C4×#6409C2semidirect
8. C4×#6406C2semidirect
9. #11728332C2semidirect
10. #11728315C2semidirect
11. #11728025C2semidirect
12. #11728010C2semidirect
14. #11727942C2semidirect
15. C4×#6392C2semidirect
37. #89946C4direct (N × H)
72. C2×C7×SD16C2×C4semidirect
89. #6509C2×C4semidirect
115. C2×#1131C2×C4semidirect
121. C4×C7×C8D4semidirect
123. #6409C2×C4semidirect
125. #6406C2×C4semidirect
135. #6392C2×C4semidirect
140. C2×C4×SD16D7semidirect
366. C7×C8C4×D4semidirect
378. C2×SD16C4×D7semidirect
436. C4×C8C22⋊D7semidirect
470. C4×C7#468semidirect
659. C8C4×C22⋊D7semidirect
660. C7C4×#468semidirect
693. C4#89946direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C4×C7×SD162
C2×#899462
C4×#65092
C4×#65012
C2×C4×#11312
#117298042
C4×#64092
C4×#64062
#117283322
#117283152
#117280252
#117280102
#117279572
#117279422
C4×#63922
C4×#4687