Finite Group Databasebeta

← C2×#11729842 #13355296

Subgroups — C2×#11729842 #13355296

Order 1792.

2018 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C7×AGL(1,ℤ/8)C211yesmaximal, characteristic
2C2×#90518C211yesmaximal, characteristic, complemented
3C22×#6411C211yesmaximal, characteristic, complemented
4C2×#89993C211yesmaximal, characteristic, complemented
5C2×#89987C211yesmaximal, characteristic, complemented
6#11729842C218yesmaximal, direct product factor
7C2×#89349C211yesmaximal, characteristic, complemented
8C2×#89350C211yesmaximal, characteristic, complemented
9C22×C7×#41C2211yescharacteristic
10C23×C7×D4C2211yescharacteristic
11C2×C7×AGL(1,ℤ/8)—24no—
12C2×C7×AGL(1,ℤ/8)—22no—
13C2×C7×AGL(1,ℤ/8)C418yescomplemented
14C2×C7×AGL(1,ℤ/8)C2214yes—
15C22×C7×SD16—21no—
16C22×C7×D8—21no—
17C22×C7×M16C2211yescharacteristic
18C22×C22⋊Dic7—22no—
19#90518—22no—
20#90518—22no—
21#90518—22no—
22#90518C2214yescomplemented
23C2×Q8×Dic7—21no—
24C2×D4×Dic7—21no—
25C2×D4×Dic7—22no—
26C2×#6489—21no—
27C2×#6489C2211yescharacteristic
28C22×C4⋊Dic7—21no—
29C22×C4⋊Dic7C2211yescharacteristic
30C22×C4×Dic7C2211yescharacteristic
31C22×#1136C2211yescharacteristic
32C2×#6411—24no—
33C2×#6411C2214yescomplemented
34#89993—22no—
35#89993C2214yescomplemented
36#89987—22no—
37#89987C2214yescomplemented
38C2×#6406—21no—
39C2×#6406—21no—
40#89350C2214yescomplemented
41#89349C2214yescomplemented
42C2×#1883—71nomaximal, Sylow
43C25×C7—21no—
44C2×C7×#41—21no—
45C2×C7×#41—21no—
46C2×C7×#41—22no—
47C2×C7×#41—22no—
48C2×C7×#41C2×C414yes—
49C2×C7×#41D414yes—
50C2×C7×#41D412yes—
51C2×C7×#41C2312yes—
52C22×C7×Q8D411yescharacteristic
53C22×C7×D4—21no—
54C22×C7×D4—21no—
55C22×C7×D4—21no—
56C22×C7×D4—21no—
57C22×C7×D4—21no—
58C22×C7×D4—22no—
59C22×C7×D4—21no—
60C22×C7×D4—22no—
61C22×C7×D4—22no—
62C22×C7×D4C2×C414yescomplemented
63C22×C7×D4D411yescharacteristic
64C22×C7×D4C2312yes—
65C23×C4×C7—21no—
66C23×C4×C7C2311yescharacteristic
67C23×Dic7—21no—
68C23×Dic7—22no—
69C23×Dic7D412yes—
70C7×AGL(1,ℤ/8)—216no—
71C7×AGL(1,ℤ/8)—28no—
72C7×AGL(1,ℤ/8)C2×C4116yescomplemented
73C2×C7×SD16—28no—
74C2×C7×SD16—24no—
75C2×C7×D8—28no—
76C2×C7×D8—24no—
77C2×C7×M16—22no—
78C2×C7×M16—21no—
79C2×C7×M16C2×C414yescomplemented
80C2×C7×M16C2312yes—
81C22×C7×C8—21no—
82C2×C22⋊Dic7—22no—
83C2×C22⋊Dic7—21no—
84C2×C22⋊Dic7—28no—
85C2×C22⋊Dic7—48no—
86Q8×Dic7—24no—
87Q8×Dic7—24no—
88D4×Dic7—28no—
89D4×Dic7—24no—
90D4×Dic7—24no—
91D4×Dic7—28no—
92#6489—24no—
93#6489—21no—
94#6489—21no—
95#6489—24no—
96#6489D412yes—
97#6489C2312yes—
98C2×C4⋊Dic7—22no—
99C2×C4⋊Dic7—24no—
100C2×C4⋊Dic7—21no—
101C2×C4⋊Dic7—21no—
102C2×C4⋊Dic7—21no—
103C2×C4⋊Dic7—21no—
104C2×C4⋊Dic7—24no—
105C2×C4⋊Dic7D412yes—
106C2×C4⋊Dic7D411yescharacteristic
107C2×C4⋊Dic7D411yescharacteristic
108C2×C4⋊Dic7C2312yes—
109C2×C4×Dic7—22no—
110C2×C4×Dic7—21no—
111C2×C4×Dic7—22no—
112C2×C4×Dic7—22no—
113C2×C4×Dic7—21no—
114C2×C4×Dic7C2312yes—
115C2×#1136—21no—
116C2×#1136—22no—
117C2×#1136—22no—
118C2×#1136C2312yes—
119C22×C7⋊C8—21no—
120#6411—28no—
121#6406—24no—
122#6406—24no—
123C22×AGL(1,ℤ/8)D711yescharacteristic
124C2×#520—71no—
125C22×#104—71no—
126C2×#418—71no—
127C2×#390—71no—
128#1883—78no—
129C2×#343—71no—
130C2×#339—71no—
131C24×C7—21no—
132C24×C7—24no—
133C24×C7—22no—
134C24×C7—44no—
135C24×C7—44no—
136C24×C7—41no—
137C24×C7—41no—
138C24×C7—42no—
139C24×C7C2×D411yescharacteristic
140C7×#41—24no—
141C7×#41—24no—
142C7×#41—24no—
143C7×#41—24no—
144C7×#41—24no—
145C7×#41—22no—
146C7×#41—22no—
147C7×#41C22⋊C418yescomplemented
148C7×#41C22×C414yes—
149C7×#41C2×D414yes—
150C2×C7×Q8—21no—
151C2×C7×Q8—22no—
152C2×C7×Q8C22⋊C414yescomplemented
153C2×C7×Q8C2×D412yes—
154C2×C7×D4—24no—
155C2×C7×D4—22no—
156C2×C7×D4—24no—
157C2×C7×D4—22no—
158C2×C7×D4—24no—
159C2×C7×D4—24no—
160C2×C7×D4—24no—
161C2×C7×D4—24no—
162C2×C7×D4—24no—
163C2×C7×D4—21no—
164C2×C7×D4—22no—
165C2×C7×D4—22no—
166C2×C7×D4—22no—
167C2×C7×D4—22no—
168C2×C7×D4—22no—
169C2×C7×D4—22no—
170C2×C7×D4—41no—
171C2×C7×D4—41no—
172C2×C7×D4—42no—
173C2×C7×D4—42no—
174C2×C7×D4—42no—
175C2×C7×D4—42no—
176C2×C7×D4—42no—
177C2×C7×D4C22⋊C414yescomplemented
178C2×C7×D4C22×C414yescomplemented
179C2×C7×D4C2×D412yes—
180C22×C4×C7—21no—
181C22×C4×C7—24no—
182C22×C4×C7—22no—
183C22×C4×C7—24no—
184C22×C4×C7—22no—
185C22×C4×C7C22×C412yes—
186C22×C4×C7C2×D411yescharacteristic
187C22×C4×C7C2×D411yescharacteristic
188C22×C4×C7C2×D412yes—
189C22×C4×C7C2×D411yescharacteristic
190C22×C4×C7C2×D411yescharacteristic
191C22×C4×C7C2×D411yescharacteristic
192C22×C4×C7#4112yes—
193C22×C4×C7#4112yes—
194C22×C4×C7C2411yescharacteristic
195C22×Dic7—24no—
196C22×Dic7—21no—
197C22×Dic7—22no—
198C22×Dic7—21no—
199C22×Dic7—22no—
200C22×Dic7—28no—
201C22×Dic7—22no—
202C22×Dic7—42no—
203C22×Dic7—42no—
204C22×Dic7—44no—
205C22×Dic7—84no—
206C22×Dic7C2×D414yes—
207C7×SD16—216no—
208C7×D8—216no—
209C7×M16—24no—
210C7×M16—22no—
211C7×M16C22×C414yescomplemented
212C2×C7×C8—24no—
213C2×C7×C8—22no—
214C22⋊Dic7—28no—
215C22⋊Dic7—22no—
216C22⋊Dic7—22no—
217C22⋊Dic7—416no—
218C4⋊Dic7—28no—
219C4⋊Dic7—22no—
220C4⋊Dic7—21no—
221C4⋊Dic7—22no—
222C4⋊Dic7—21no—
223C4⋊Dic7—22no—
224C4⋊Dic7—22no—
225C4⋊Dic7C2×D412yes—
226C4⋊Dic7C2×D412yes—
227C4×Dic7—28no—
228C4×Dic7—22no—
229C4×Dic7—22no—
230C4×Dic7—22no—
231C4×Dic7—22no—
232C4×Dic7—42no—
233#1136—22no—
234#1136—22no—
235#1136—42no—
236C2×C7⋊C8—22no—
237C2×C7⋊C8—42no—
238C22×#41C2×D711yescharacteristic
239C23×D4C2×D711yescharacteristic
240C2×AGL(1,ℤ/8)—24no—
241C2×AGL(1,ℤ/8)—22no—
242C2×AGL(1,ℤ/8)Dic718yescomplemented
243C2×AGL(1,ℤ/8)C2×D714yes—
244C22×SD16—21no—
245C22×D8—21no—
246C22×M16—71no—
247C22×M16C2×D711yescharacteristic
248#520—74no—
249#520—142no—
250#520—142no—
251#520—142no—
252C2×C4×Q8—141no—
253C2×C4×D4—142no—
254C2×C4×D4—141no—
255C2×#117—71no—
256C2×#117—141no—
257C22×C4⋊C4—71no—
258C22×C4⋊C4—141no—
259C22×C22⋊C4—142no—
260C22×C42—71no—
261C2×#104—74no—
262C2×#104—144no—
263#418—74no—
264#418—142no—
265C2×#102—141no—
266C2×#102—141no—
267#390—74no—
268#390—142no—
269#343—74no—
270#339—74no—
271C23×C7—22no—
272C23×C7—22no—
273C23×C7—22no—
274C23×C7—24no—
275C23×C7—24no—
276C23×C7—44no—
277C23×C7—416no—
278C23×C7—44no—
279C23×C7—42no—
280C23×C7—42no—
281C23×C7—42no—
282C23×C7—42no—
283C23×C7—44no—
284C23×C7—44no—
285C23×C7—88no—
286C23×C7—82no—
287C23×C7—82no—
288C23×C7—82no—
289C23×C7—82no—
290C23×C7C4×D412yes—
291C23×C7#12011yescharacteristic
292C23×C7#12011yescharacteristic
293C23×C7#12112yes—
294C23×C7C22×D411yescharacteristic
295C7×Q8—22no—
296C7×Q8—24no—
297C7×Q8C2×C22⋊C414yescomplemented
298C7×D4—24no—
299C7×D4—24no—
300C7×D4—28no—
301C7×D4—24no—
302C7×D4—24no—
303C7×D4—22no—
304C7×D4—24no—
305C7×D4—42no—
306C7×D4—42no—
307C7×D4—44no—
308C7×D4—44no—
309C7×D4C2×C22⋊C414yescomplemented
310C2×C4×C7—22no—
311C2×C4×C7—24no—
312C2×C4×C7—24no—
313C2×C4×C7—24no—
314C2×C4×C7—28no—
315C2×C4×C7C2×C22⋊C412yes—
316C2×C4×C7C2×C22⋊C412yes—
317C2×C4×C7C4×D412yes—
318C2×C4×C7C4×D412yes—
319C2×C4×C7C4×D412yes—
320C2×C4×C7#12011yescharacteristic
321C2×C4×C7#12011yescharacteristic
322C2×C4×C7#12112yes—
323C2×C4×C7#12112yes—
324C2×C4×C7#12112yes—
325C2×C4×C7#12312yes—
326C2×C4×C7#12312yes—
327C2×C4×C7C23×C411yescharacteristic
328C2×C4×C7C22×D411yescharacteristic
329C2×C4×C7C22×D411yescharacteristic
330C2×C4×C7C22×D411yescharacteristic
331C2×C4×C7C2×#4111yescharacteristic
332C2×C4×C7C2×#4111yescharacteristic
333C2×Dic7—24no—
334C2×Dic7—22no—
335C2×Dic7—24no—
336C2×Dic7—22no—
337C2×Dic7—48no—
338C2×Dic7—42no—
339C2×Dic7—42no—
340C2×Dic7—44no—
341C2×Dic7—42no—
342C2×Dic7—42no—
343C2×Dic7—44no—
344C2×Dic7—82no—
345C2×Dic7—88no—
346C7×C8—24no—
347C7⋊C8—42no—
348C25—21no—
349C2×#41—21no—
350C2×#41—21no—
351C2×#41—22no—
352C2×#41—22no—
353C2×#41C2×Dic714yes—
354C2×#41C22⋊D714yes—
355C2×#41C22⋊D712yes—
356C2×#41C22×D712yes—
357C22×Q8C22⋊D711yescharacteristic
358C22×D4—21no—
359C22×D4—21no—
360C22×D4—21no—
361C22×D4—21no—
362C22×D4—22no—
363C22×D4—22no—
364C22×D4—21no—
365C22×D4—21no—
366C22×D4—22no—
367C22×D4C2×Dic714yescomplemented
368C22×D4C22⋊D711yescharacteristic
369C22×D4C22×D712yes—
370C23×C4—21no—
371C23×C4—72no—
372C23×C4—141no—
373C23×C4—142no—
374C23×C4C22×D711yescharacteristic
375AGL(1,ℤ/8)—216no—
376AGL(1,ℤ/8)—28no—
377AGL(1,ℤ/8)C2×Dic7116yescomplemented
378C2×SD16—28no—
379C2×SD16—24no—
380C2×D8—28no—
381C2×D8—24no—
382C2×M16—22no—
383C2×M16—21no—
384C2×M16—72no—
385C2×M16—141no—
386C2×M16—142no—
387C2×M16—142no—
388C2×M16C2×Dic714yescomplemented
389C2×M16C22×D712yes—
390C22×C8—21no—
391C22×C8—141no—
392C4×Q8—144no—
393C4×Q8—144no—
394C4×D4—148no—
395C4×D4—148no—
396C4×D4—144no—
397C4×D4—144no—
398#117—72no—
399#117—72no—
400#117—144no—
401#117—144no—
402#117—141no—
403#117—141no—
404C2×C4⋊C4—71no—
405C2×C4⋊C4—71no—
406C2×C4⋊C4—72no—
407C2×C4⋊C4—72no—
408C2×C4⋊C4—144no—
409C2×C4⋊C4—142no—
410C2×C4⋊C4—144no—
411C2×C4⋊C4—141no—
412C2×C4⋊C4—141no—
413C2×C4⋊C4—141no—
414C2×C4⋊C4—141no—
415C2×C22⋊C4—142no—
416C2×C22⋊C4—141no—
417C2×C22⋊C4—148no—
418C2×C22⋊C4—288no—
419C2×C42—72no—
420C2×C42—142no—
421C2×C42—141no—
422C2×C42—142no—
423C2×C42—142no—
424C2×C42—141no—
425#104—148no—
426#102—144no—
427#102—144no—
428C22×C7—24no—
429C22×C7—24no—
430C22×C7—21no—
431C22×C7—21no—
432C22×C7—21no—
433C22×C7—21no—
434C22×C7—24no—
435C22×C7—48no—
436C22×C7—48no—
437C22×C7—42no—
438C22×C7—42no—
439C22×C7—44no—
440C22×C7—84no—
441C22×C7—88no—
442C22×C7—88no—
443C22×C7—82no—
444C22×C7—82no—
445C22×C7#38612yes—
446C22×C7#38612yes—
447C22×C7#45312yes—
448C22×C7#45412yes—
449C22×C7C2×C4×D411yescharacteristic
450C22×C7C2×#12011yescharacteristic
451C22×C7C2×#12111yescharacteristic
452C4×C7—24no—
453C4×C7#38612yes—
454C4×C7#38612yes—
455C4×C7C22×C22⋊C411yescharacteristic
456C4×C7C2×C4×D411yescharacteristic
457C4×C7C2×#12111yescharacteristic
458C4×C7C2×#12311yescharacteristic
459Dic7—44no—
460Dic7—44no—
461Dic7—42no—
462Dic7—42no—
463C24—21no—
464C24—24no—
465C24—22no—
466C24—44no—
467C24—44no—
468C24—41no—
469C24—41no—
470C24—42no—
471C24D4×D711yescharacteristic
472#41—24no—
473#41—24no—
474#41—24no—
475#41—24no—
476#41—24no—
477#41—22no—
478#41—22no—
479#41C22⋊Dic718yescomplemented
480#41C22×Dic714yes—
481#41C2×C22⋊D714yes—
482C2×Q8—22no—
483C2×Q8—21no—
484C2×Q8C22⋊Dic714yescomplemented
485C2×Q8C2×C22⋊D712yes—
486C2×D4—24no—
487C2×D4—22no—
488C2×D4—24no—
489C2×D4—22no—
490C2×D4—24no—
491C2×D4—24no—
492C2×D4—24no—
493C2×D4—22no—
494C2×D4—21no—
495C2×D4—24no—
496C2×D4—24no—
497C2×D4—22no—
498C2×D4—22no—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4—41no—
505C2×D4—41no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4C22⋊Dic714yescomplemented
510C2×D4C22×Dic714yescomplemented
511C2×D4C2×C22⋊D712yes—
512C22×C4—21no—
513C22×C4—24no—
514C22×C4—22no—
515C22×C4—24no—
516C22×C4—22no—
517C22×C4—74no—
518C22×C4—144no—
519C22×C4—141no—
520C22×C4—141no—
521C22×C4—142no—
522C22×C4—142no—
523C22×C4—148no—
524C22×C4—142no—
525C22×C4—282no—
526C22×C4—282no—
527C22×C4—284no—
528C22×C4—564no—
529C22×C4D4×D711yescharacteristic
530C22×C4D4×D711yescharacteristic
531C22×C4D4×D711yescharacteristic
532C22×C4#115912yes—
533C22×C4#115912yes—
534C22×C4C22×Dic712yes—
535C22×C4C2×C22⋊D711yescharacteristic
536C22×C4C2×C22⋊D711yescharacteristic
537C22×C4C2×C22⋊D712yes—
538C22×C4C23×D711yescharacteristic
539SD16—216no—
540D8—216no—
541M16—24no—
542M16—22no—
543M16—142no—
544M16—142no—
545M16—282no—
546M16C22×Dic714yescomplemented
547C2×C8—24no—
548C2×C8—22no—
549C2×C8—142no—
550C2×C8—282no—
551C4⋊C4—72no—
552C4⋊C4—72no—
553C4⋊C4—148no—
554C4⋊C4—141no—
555C4⋊C4—142no—
556C4⋊C4—142no—
557C4⋊C4—141no—
558C4⋊C4—142no—
559C4⋊C4—142no—
560C22⋊C4—148no—
561C22⋊C4—142no—
562C22⋊C4—142no—
563C22⋊C4—2816no—
564C42—148no—
565C42—142no—
566C42—142no—
567C42—142no—
568C42—142no—
569C42—282no—
570C2×C7—21no—
571C2×C7—21no—
572C2×C7—22no—
573C2×C7—44no—
574C2×C7—84no—
575C2×C7#188314yescomplemented
576C2×C7C2×#38611yescharacteristic
577C2×C7C2×#45311yescharacteristic
578C2×C7C2×#45411yescharacteristic
579C23—22no—
580C23—22no—
581C23—22no—
582C23—24no—
583C23—24no—
584C23—44no—
585C23—416no—
586C23—44no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—44no—
592C23—44no—
593C23—88no—
594C23—82no—
595C23—82no—
596C23—82no—
597C23—82no—
598C23D4×Dic712yes—
599C23#650011yescharacteristic
600C23#650011yescharacteristic
601C23#650212yes—
602C23C2×D4×D711yescharacteristic
603Q8—22no—
604Q8—24no—
605Q8C2×C22⋊Dic714yescomplemented
606D4—24no—
607D4—24no—
608D4—28no—
609D4—24no—
610D4—22no—
611D4—24no—
612D4—24no—
613D4—42no—
614D4—42no—
615D4—44no—
616D4—44no—
617D4C2×C22⋊Dic714yescomplemented
618C2×C4—22no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—28no—
623C2×C4—144no—
624C2×C4—142no—
625C2×C4—142no—
626C2×C4—144no—
627C2×C4—288no—
628C2×C4—282no—
629C2×C4—284no—
630C2×C4—282no—
631C2×C4—282no—
632C2×C4—282no—
633C2×C4—284no—
634C2×C4—562no—
635C2×C4—568no—
636C2×C4D4×Dic712yes—
637C2×C4D4×Dic712yes—
638C2×C4D4×Dic712yes—
639C2×C4#649812yes—
640C2×C4#649812yes—
641C2×C4#650011yescharacteristic
642C2×C4#650011yescharacteristic
643C2×C4#650212yes—
644C2×C4#650212yes—
645C2×C4#650212yes—
646C2×C4C2×C22⋊Dic712yes—
647C2×C4C2×C22⋊Dic712yes—
648C2×C4C2×D4×D711yescharacteristic
649C2×C4C2×#115911yescharacteristic
650C2×C4C2×#115911yescharacteristic
651C2×C4C23×Dic711yescharacteristic
652C2×C4C22×C22⋊D711yescharacteristic
653C2×C4C22×C22⋊D711yescharacteristic
654C8—24no—
655C8—282no—
656C7C2×#188311yescharacteristic, complemented, Sylow
657C22—24no—
658C22—24no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—24no—
664C22—48no—
665C22—48no—
666C22—42no—
667C22—42no—
668C22—44no—
669C22—84no—
670C22—88no—
671C22—88no—
672C22—82no—
673C22—82no—
674C22#8997012yes—
675C22#8997312yes—
676C22#8999212yes—
677C22#8999212yes—
678C22C2×D4×Dic711yescharacteristic
679C22C2×#650011yescharacteristic
680C22C2×#650211yescharacteristic
681C4—24no—
682C4—284no—
683C4—284no—
684C4—282no—
685C4—282no—
686C4#8999212yes—
687C4#8999212yes—
688C4C2×D4×Dic711yescharacteristic
689C4C2×#649811yescharacteristic
690C4C2×#650211yescharacteristic
691C4C22×C22⋊Dic711yescharacteristic
692C2—21no—
693C2—21no—
694C2—22no—
695C2—44no—
696C2—84no—
697C2#1172984214yesdirect product factor
698C2C2×#8997011yescharacteristic
699C2C2×#8997311yescharacteristic
700C2C2×#8999211yescharacteristic
subgroupG/H
centerC23#6500
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
Fitting, prime radicalC22×C7×AGL(1,ℤ/8)C2
socleC23×C7#120
cosocleC22×C4×C7C24
hypercenterC22×AGL(1,ℤ/8)D7
hypocenterC7C2×#1883
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×AGL(1,ℤ/8)

Complements

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

NH ≅ G/Ntype
2. C2×#90518C2semidirect
3. C22×#6411C2semidirect
4. C2×#89993C2semidirect
5. C2×#89987C2semidirect
6. #11729842C2direct (N × H)
7. C2×#89349C2semidirect
8. C2×#89350C2semidirect
13. C2×C7×AGL(1,ℤ/8)C4semidirect
22. #90518C22semidirect
33. C2×#6411C22semidirect
35. #89993C22semidirect
37. #89987C22semidirect
40. #89350C22semidirect
41. #89349C22semidirect
62. C22×C7×D4C2×C4semidirect
72. C7×AGL(1,ℤ/8)C2×C4semidirect
79. C2×C7×M16C2×C4semidirect
147. C7×#41C22⋊C4semidirect
152. C2×C7×Q8C22⋊C4semidirect
177. C2×C7×D4C22⋊C4semidirect
178. C2×C7×D4C22×C4semidirect
211. C7×M16C22×C4semidirect
242. C2×AGL(1,ℤ/8)Dic7semidirect
297. C7×Q8C2×C22⋊C4semidirect
309. C7×D4C2×C22⋊C4semidirect
367. C22×D4C2×Dic7semidirect
377. AGL(1,ℤ/8)C2×Dic7semidirect
388. C2×M16C2×Dic7semidirect
479. #41C22⋊Dic7semidirect
484. C2×Q8C22⋊Dic7semidirect
509. C2×D4C22⋊Dic7semidirect
510. C2×D4C22×Dic7semidirect
546. M16C22×Dic7semidirect
575. C2×C7#1883semidirect
605. Q8C2×C22⋊Dic7semidirect
617. D4C2×C22⋊Dic7semidirect
656. C7C2×#1883semidirect
697. C2#11729842direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C7×AGL(1,ℤ/8)2
C2×#905182
C22×#64112
C2×#899932
C2×#899872
#117298422
C2×#893492
C2×#893502
C2×#18837