Finite Group Databasebeta

← #13355264

Subgroups — #13355264

Order 1792.

1814 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C7×#135C211yesmaximal, characteristic
2C2×#90518C211yesmaximal, characteristic, complemented
3#11741532C211yesmaximal, characteristic, complemented
4C2×#90004C211yesmaximal, characteristic, complemented
5C2×#90004C211yesmaximal, characteristic, complemented
6#11729819C212yesmaximal, complemented
7#11729802C212yesmaximal, complemented
8#11729801C212yesmaximal, complemented
9#11729791C212yesmaximal, complemented
10C2×#89346C211yesmaximal, characteristic, complemented
11#11729719C211yesmaximal, characteristic, complemented
12C22×C7×#41C2211yescharacteristic
13C22×C7×#41C2211yescharacteristic
14C2×C7×#135—24no—
15C2×C7×#135—24no—
16C2×C7×#135C418yescomplemented
17C22×C7×Q16C2211yescharacteristic
18C22×C7×SD16C2211yescharacteristic
19C22×C7×SD16C2211yescharacteristic
20C22×C7×D8C2211yescharacteristic
21C23×C7×C8C2211yescharacteristic
22#90518—24no—
23#90518—24no—
24C2×Q8×Dic7C2212yes—
25C2×D4×Dic7—22no—
26C2×D4×Dic7C2212yes—
27C2×#6489—21no—
28C2×#6489C2211yescharacteristic
29C22×C4⋊Dic7—21no—
30C22×C4⋊Dic7C2211yescharacteristic
31C22×C4⋊Dic7C2211yescharacteristic
32C22×#1136C2211yescharacteristic
33#90004—24no—
34#90004—24no—
35#90002C2212yes—
36C2×#6409C2212yes—
37C2×#6409C2212yes—
38#89993C2212yes—
39#89992—22no—
40C2×#6406C2212yes—
41C2×#6406C2212yes—
42#89984—21no—
43#89984—21no—
44#89346C2212yes—
45#89346C2212yes—
46#89345C2212yes—
47#89345C2212yes—
48#20937—71nomaximal, Sylow
49C2×C7×#41—22no—
50C2×C7×#41—22no—
51C2×C7×#41—22no—
52C2×C7×#41—22no—
53C2×C7×#41—22no—
54C2×C7×#41—22no—
55C2×C7×#41—22no—
56C2×C7×#41—22no—
57C2×C7×#41C2×C414yes—
58C2×C7×#41C2×C414yescomplemented
59C2×C7×#41D414yes—
60C2×C7×#41D414yes—
61C22×C7×Q8C2311yescharacteristic
62C22×C7×Q8C2311yescharacteristic
63C22×C7×D4—21no—
64C22×C7×D4—21no—
65C22×C7×D4C2311yescharacteristic
66C22×C7×D4C2311yescharacteristic
67C23×C4×C7—21no—
68C23×C4×C7—21no—
69C23×C4×C7C2311yescharacteristic
70C23×Dic7—21no—
71C23×Dic7—22no—
72C23×Dic7—21no—
73C7×#135—232no—
74C2×C7×Q16—22no—
75C2×C7×Q16—22no—
76C2×C7×Q16C2×C414yescomplemented
77C2×C7×SD16—22no—
78C2×C7×SD16—22no—
79C2×C7×SD16—22no—
80C2×C7×SD16—22no—
81C2×C7×SD16C2×C414yescomplemented
82C2×C7×SD16C2×C414yescomplemented
83C2×C7×D8—22no—
84C2×C7×D8—22no—
85C2×C7×D8C2×C414yescomplemented
86C22×C7×C8—22no—
87C22×C7×C8—22no—
88C22×C7×C8C2×C414yescomplemented
89C22×C7×C8C2311yescharacteristic
90C22×C7×C8C2311yescharacteristic
91C2×C22⋊Dic7—22no—
92C2×C22⋊Dic7—22no—
93C2×C22⋊Dic7—22no—
94C2×C22⋊Dic7D412yes—
95Q8×Dic7—24no—
96Q8×Dic7—24no—
97D4×Dic7—216no—
98D4×Dic7—24no—
99D4×Dic7—24no—
100#6489—28no—
101#6489—22no—
102#6489—22no—
103C2×C4⋊Dic7—28no—
104C2×C4⋊Dic7—21no—
105C2×C4⋊Dic7—22no—
106C2×C4⋊Dic7—22no—
107C2×C4⋊Dic7—22no—
108C2×C4⋊Dic7—22no—
109C2×C4⋊Dic7—21no—
110C2×C4⋊Dic7D411yescharacteristic
111C2×C4⋊Dic7D411yescharacteristic
112C2×C4⋊Dic7D414yes—
113C2×C4⋊Dic7C2312yes—
114C2×C4⋊Dic7C2312yes—
115C2×C4×Dic7—22no—
116C2×C4×Dic7C2312yes—
117C2×#1136—22no—
118C2×#1136—22no—
119C2×#1136—22no—
120C22×C7⋊C8C2312yes—
121#6409—24no—
122#6409—24no—
123#6406—24no—
124#6406—24no—
125C7⋊#95—22no—
126C7⋊#95—22no—
127C22×#135D711yescharacteristic
128C2×#520—71no—
129C2×#417—71no—
130C2×#417—71no—
131#2311—71no—
132#1880—72no—
133#1879—72no—
134#1878—72no—
135#1877—72no—
136C2×#340—71no—
137#1729—71no—
138C24×C7—21no—
139C24×C7—21no—
140C24×C7C2×D411yescharacteristic
141C7×#41—28no—
142C7×#41—28no—
143C7×#41—28no—
144C7×#41—28no—
145C7×#41—28no—
146C7×#41—44no—
147C7×#41—44no—
148C7×#41C22⋊C4116yescomplemented
149C2×C7×Q8—21no—
150C2×C7×Q8—21no—
151C2×C7×Q8—21no—
152C2×C7×Q8—21no—
153C2×C7×Q8—21no—
154C2×C7×Q8—21no—
155C2×C7×Q8—21no—
156C2×C7×Q8—21no—
157C2×C7×Q8C22×C412yes—
158C2×C7×Q8C22×C412yes—
159C2×C7×Q8C2×D412yes—
160C2×C7×Q8C2×D412yes—
161C2×C7×D4—24no—
162C2×C7×D4—24no—
163C2×C7×D4—24no—
164C2×C7×D4—24no—
165C2×C7×D4—21no—
166C2×C7×D4—21no—
167C2×C7×D4—21no—
168C2×C7×D4—21no—
169C2×C7×D4—21no—
170C2×C7×D4—21no—
171C2×C7×D4—21no—
172C2×C7×D4—21no—
173C2×C7×D4—42no—
174C2×C7×D4—42no—
175C2×C7×D4C22×C412yes—
176C2×C7×D4C22×C412yes—
177C2×C7×D4C2×D412yes—
178C2×C7×D4C2×D412yes—
179C22×C4×C7—21no—
180C22×C4×C7—24no—
181C22×C4×C7—24no—
182C22×C4×C7—24no—
183C22×C4×C7—21no—
184C22×C4×C7—24no—
185C22×C4×C7—42no—
186C22×C4×C7—42no—
187C22×C4×C7C22×C412yes—
188C22×C4×C7C2×D412yes—
189C22×C4×C7C2×D412yes—
190C22×C4×C7C2×D411yescharacteristic
191C22×C4×C7C2×D412yes—
192C22×C4×C7#4112yes—
193C22×C4×C7#4112yes—
194C22×C4×C7C2411yescharacteristic
195C22×Dic7—22no—
196C22×Dic7—28no—
197C22×Dic7—24no—
198C22×Dic7—22no—
199C22×Dic7—42no—
200C22×Dic7—82no—
201C22×Dic7—82no—
202C22×Dic7—81no—
203C22×Dic7—81no—
204C22×Dic7—81no—
205C22×Dic7—81no—
206C22×Dic7C2×D412yes—
207C22×Dic7C2×D412yes—
208C7×Q16—28no—
209C7×SD16—28no—
210C7×SD16—28no—
211C7×D8—28no—
212C2×C7×C8—28no—
213C2×C7×C8—21no—
214C2×C7×C8—21no—
215C2×C7×C8—21no—
216C2×C7×C8—21no—
217C2×C7×C8C22×C412yes—
218C2×C7×C8C22×C412yes—
219C22⋊Dic7—28no—
220C22⋊Dic7—24no—
221C22⋊Dic7—82no—
222C22⋊Dic7—82no—
223C4⋊Dic7—28no—
224C4⋊Dic7—22no—
225C4⋊Dic7—24no—
226C4⋊Dic7—22no—
227C4⋊Dic7—22no—
228C4⋊Dic7—22no—
229C4⋊Dic7—22no—
230C4⋊Dic7—42no—
231C4⋊Dic7C2×D414yes—
232C4×Dic7—28no—
233C4×Dic7—22no—
234C4×Dic7—22no—
235#1136—44no—
236C2×C7⋊C8—22no—
237C2×C7⋊C8—22no—
238C2×C7⋊C8—22no—
239C22×#41C2×D711yescharacteristic
240C22×#41C2×D711yescharacteristic
241C2×#135—24no—
242C2×#135—24no—
243C2×#135Dic718yescomplemented
244C22×Q16C2×D711yescharacteristic
245C22×SD16C2×D711yescharacteristic
246C22×SD16C2×D711yescharacteristic
247C22×D8C2×D711yescharacteristic
248C22×M16—71no—
249C23×C8C2×D711yescharacteristic
250#520—144no—
251#520—144no—
252C2×C4×Q8—72no—
253C2×C4×D4—72no—
254C2×C4×D4—142no—
255C2×#117—71no—
256C2×#117—141no—
257C22×C4⋊C4—71no—
258C22×C4⋊C4—71no—
259C22×C4⋊C4—141no—
260#417—144no—
261#417—144no—
262C2×#103—72no—
263C2×#103—72no—
264C2×#102—72no—
265C2×#102—72no—
266#391—72no—
267#390—72no—
268#386—142no—
269#380—141no—
270#380—141no—
271#340—72no—
272#340—72no—
273#336—72no—
274#336—72no—
275C23×C7—21no—
276C23×C7—21no—
277C23×C7—21no—
278C23×C7—21no—
279C23×C7—22no—
280C23×C7—22no—
281C23×C7—22no—
282C23×C7—22no—
283C23×C7—41no—
284C23×C7—41no—
285C23×C7—41no—
286C23×C7—41no—
287C23×C7—41no—
288C23×C7—41no—
289C23×C7—41no—
290C23×C7—41no—
291C23×C7—41no—
292C23×C7—41no—
293C23×C7C4×D412yes—
294C23×C7#12012yes—
295C23×C7#12112yes—
296C23×C7C22×D411yescharacteristic
297C7×Q8—22no—
298C7×Q8—22no—
299C7×Q8—22no—
300C7×Q8—22no—
301C7×Q8—22no—
302C7×Q8—41no—
303C7×Q8—41no—
304C7×Q8C2×C22⋊C414yes—
305C7×D4—216no—
306C7×D4—22no—
307C7×D4—22no—
308C7×D4—22no—
309C7×D4—22no—
310C7×D4—22no—
311C7×D4—48no—
312C7×D4—41no—
313C7×D4—41no—
314C7×D4C2×C22⋊C414yes—
315C2×C4×C7—22no—
316C2×C4×C7—22no—
317C2×C4×C7—22no—
318C2×C4×C7—216no—
319C2×C4×C7—22no—
320C2×C4×C7—41no—
321C2×C4×C7—41no—
322C2×C4×C7—48no—
323C2×C4×C7C2×C22⋊C414yes—
324C2×C4×C7C4×D414yes—
325C2×C4×C7C4×D412yes—
326C2×C4×C7#12012yes—
327C2×C4×C7#12114yes—
328C2×C4×C7#12112yes—
329C2×C4×C7#12314yes—
330C2×C4×C7C23×C411yescharacteristic
331C2×C4×C7C22×D411yescharacteristic
332C2×C4×C7C22×D411yescharacteristic
333C2×C4×C7C22×D411yescharacteristic
334C2×C4×C7C2×#4111yescharacteristic
335C2×C4×C7C2×#4111yescharacteristic
336C2×Dic7—22no—
337C2×Dic7—22no—
338C2×Dic7—24no—
339C2×Dic7—22no—
340C2×Dic7—22no—
341C2×Dic7—22no—
342C2×Dic7—22no—
343C2×Dic7—42no—
344C2×Dic7—42no—
345C2×Dic7—42no—
346C2×Dic7—42no—
347C2×Dic7—42no—
348C2×Dic7—84no—
349C2×Dic7—88no—
350C2×Dic7—84no—
351C7×C8—22no—
352C7×C8—22no—
353C7⋊C8—42no—
354C2×#41—22no—
355C2×#41—22no—
356C2×#41—22no—
357C2×#41—22no—
358C2×#41—22no—
359C2×#41—22no—
360C2×#41—22no—
361C2×#41—22no—
362C2×#41C2×Dic714yes—
363C2×#41C2×Dic714yescomplemented
364C2×#41C22⋊D714yes—
365C2×#41C22⋊D714yes—
366C22×Q8C22×D711yescharacteristic
367C22×Q8C22×D711yescharacteristic
368C22×D4—21no—
369C22×D4—21no—
370C22×D4C22×D711yescharacteristic
371C22×D4C22×D711yescharacteristic
372C23×C4—21no—
373C23×C4—21no—
374C23×C4—142no—
375C23×C4—141no—
376C23×C4—141no—
377C23×C4C22×D711yescharacteristic
378#135—232no—
379C2×Q16—22no—
380C2×Q16—22no—
381C2×Q16C2×Dic714yescomplemented
382C2×SD16—22no—
383C2×SD16—22no—
384C2×SD16—22no—
385C2×SD16—22no—
386C2×SD16C2×Dic714yescomplemented
387C2×SD16C2×Dic714yescomplemented
388C2×D8—22no—
389C2×D8—22no—
390C2×D8C2×Dic714yescomplemented
391C2×M16—142no—
392C2×M16—142no—
393C2×M16—142no—
394C22×C8—22no—
395C22×C8—22no—
396C22×C8—72no—
397C22×C8C2×Dic714yescomplemented
398C22×C8C22×D711yescharacteristic
399C22×C8C22×D711yescharacteristic
400C4×Q8—144no—
401C4×Q8—144no—
402C4×D4—144no—
403C4×D4—1416no—
404C4×D4—144no—
405#117—148no—
406#117—142no—
407#117—142no—
408C2×C4⋊C4—74no—
409C2×C4⋊C4—72no—
410C2×C4⋊C4—71no—
411C2×C4⋊C4—71no—
412C2×C4⋊C4—72no—
413C2×C4⋊C4—142no—
414C2×C4⋊C4—148no—
415C2×C4⋊C4—141no—
416C2×C4⋊C4—142no—
417C2×C4⋊C4—142no—
418C2×C4⋊C4—142no—
419C2×C4⋊C4—141no—
420C2×C22⋊C4—72no—
421C2×C22⋊C4—142no—
422C2×C22⋊C4—142no—
423C2×C22⋊C4—142no—
424C2×C42—72no—
425C2×C42—142no—
426#103—144no—
427#103—144no—
428#102—144no—
429#102—144no—
430#95—142no—
431#95—142no—
432C22×C7—22no—
433C22×C7—22no—
434C22×C7—22no—
435C22×C7—22no—
436C22×C7—22no—
437C22×C7—22no—
438C22×C7—24no—
439C22×C7—42no—
440C22×C7—42no—
441C22×C7—42no—
442C22×C7—42no—
443C22×C7—42no—
444C22×C7—42no—
445C22×C7—42no—
446C22×C7—42no—
447C22×C7—42no—
448C22×C7—81no—
449C22×C7—81no—
450C22×C7—81no—
451C22×C7—81no—
452C22×C7#38614yes—
453C22×C7C2×C4×D411yescharacteristic
454C22×C7C2×#12011yescharacteristic
455C22×C7C2×#12111yescharacteristic
456C22×C7#57611yescharacteristic
457C22×C7#57711yescharacteristic
458C22×C7#57711yescharacteristic
459C22×C7#57811yescharacteristic
460C4×C7—24no—
461C4×C7—42no—
462C4×C7#38614yes—
463C4×C7C22×C22⋊C411yescharacteristic
464C4×C7C2×C4×D411yescharacteristic
465C4×C7C2×#12111yescharacteristic
466C4×C7C2×#12311yescharacteristic
467Dic7—42no—
468Dic7—44no—
469Dic7—42no—
470Dic7—82no—
471C24—21no—
472C24—21no—
473C24D4×D711yescharacteristic
474#41—28no—
475#41—28no—
476#41—28no—
477#41—28no—
478#41—28no—
479#41—44no—
480#41—44no—
481#41C22⋊Dic7116yescomplemented
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8C22×Dic712yes—
491C2×Q8C22×Dic712yes—
492C2×Q8C2×C22⋊D712yes—
493C2×Q8C2×C22⋊D712yes—
494C2×D4—24no—
495C2×D4—24no—
496C2×D4—24no—
497C2×D4—24no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4C22×Dic712yes—
509C2×D4C22×Dic712yes—
510C2×D4C2×C22⋊D712yes—
511C2×D4C2×C22⋊D712yes—
512C22×C4—21no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—21no—
517C22×C4—24no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—72no—
521C22×C4—72no—
522C22×C4—142no—
523C22×C4—148no—
524C22×C4—144no—
525C22×C4—142no—
526C22×C4—282no—
527C22×C4—562no—
528C22×C4—562no—
529C22×C4—561no—
530C22×C4—561no—
531C22×C4—561no—
532C22×C4—561no—
533C22×C4D4×D711yescharacteristic
534C22×C4D4×D712yes—
535C22×C4#115912yes—
536C22×C4#115912yes—
537C22×C4C22×Dic712yes—
538C22×C4C2×C22⋊D712yes—
539C22×C4C2×C22⋊D712yes—
540C22×C4C23×D711yescharacteristic
541Q16—28no—
542SD16—28no—
543SD16—28no—
544D8—28no—
545M16—284no—
546C2×C8—28no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—142no—
552C2×C8—142no—
553C2×C8—142no—
554C2×C8C22×Dic712yes—
555C2×C8C22×Dic712yes—
556C4⋊C4—74no—
557C4⋊C4—148no—
558C4⋊C4—144no—
559C4⋊C4—142no—
560C4⋊C4—142no—
561C4⋊C4—142no—
562C4⋊C4—142no—
563C4⋊C4—142no—
564C4⋊C4—282no—
565C22⋊C4—148no—
566C22⋊C4—144no—
567C22⋊C4—562no—
568C22⋊C4—562no—
569C42—148no—
570C42—142no—
571C42—142no—
572C2×C7—24no—
573C2×C7—44no—
574C2×C7—82no—
575C2×C7C2×#38611yescharacteristic
576C2×C7#295111yescharacteristic
577C2×C7#295211yescharacteristic
578C2×C7#301211yescharacteristic
579C2×C7#301311yescharacteristic
580C2×C7#304511yescharacteristic
581C2×C7#304611yescharacteristic
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23D4×Dic712yes—
601C23#650012yes—
602C23#650212yes—
603C23C2×D4×D711yescharacteristic
604Q8—22no—
605Q8—22no—
606Q8—22no—
607Q8—22no—
608Q8—22no—
609Q8—41no—
610Q8—41no—
611Q8C2×C22⋊Dic714yes—
612D4—216no—
613D4—22no—
614D4—22no—
615D4—22no—
616D4—22no—
617D4—22no—
618D4—48no—
619D4—41no—
620D4—41no—
621D4C2×C22⋊Dic714yes—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—216no—
626C2×C4—22no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—48no—
630C2×C4—142no—
631C2×C4—142no—
632C2×C4—142no—
633C2×C4—142no—
634C2×C4—142no—
635C2×C4—144no—
636C2×C4—142no—
637C2×C4—282no—
638C2×C4—282no—
639C2×C4—282no—
640C2×C4—282no—
641C2×C4—282no—
642C2×C4—564no—
643C2×C4—568no—
644C2×C4—564no—
645C2×C4D4×Dic714yes—
646C2×C4D4×Dic712yes—
647C2×C4#649814yes—
648C2×C4#650012yes—
649C2×C4#650214yes—
650C2×C4#650212yes—
651C2×C4C2×C22⋊Dic714yes—
652C2×C4C2×D4×D711yescharacteristic
653C2×C4C2×#115911yescharacteristic
654C2×C4C2×#115911yescharacteristic
655C2×C4C23×Dic711yescharacteristic
656C2×C4C22×C22⋊D711yescharacteristic
657C2×C4C22×C22⋊D711yescharacteristic
658C8—22no—
659C8—22no—
660C8—282no—
661C7#2093711yescharacteristic, complemented, Sylow
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—24no—
669C22—42no—
670C22—42no—
671C22—42no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—42no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22#8999214yes—
683C22#9046011yescharacteristic
684C22#9046111yescharacteristic
685C22#9046111yescharacteristic
686C22#9046211yescharacteristic
687C22C2×D4×Dic711yescharacteristic
688C22C2×#650011yescharacteristic
689C22C2×#650211yescharacteristic
690C4—24no—
691C4—42no—
692C4—282no—
693C4—284no—
694C4—282no—
695C4—562no—
696C4#8999214yes—
697C4C2×D4×Dic711yescharacteristic
698C4C2×#649811yescharacteristic
699C4C2×#650211yescharacteristic
700C4C22×C22⋊Dic711yescharacteristic
701C2—24no—
702C2—44no—
703C2—82no—
704C2#1174134311yescharacteristic
705C2#1174134411yescharacteristic
706C2#1174134611yescharacteristic
707C2#1174134711yescharacteristic
708C2#1174135711yescharacteristic
709C2#1174135811yescharacteristic
710C2C2×#8999211yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
Fitting, prime radicalC22×C7×#135C2
socleC23×C7C22×D4
cosocleC22×C4×C7C24
hypercenterC22×#135D7
hypocenterC7#20937
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#135

Complements

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

NH ≅ G/Ntype
2. C2×#90518C2semidirect
3. #11741532C2semidirect
4. C2×#90004C2semidirect
5. C2×#90004C2semidirect
6. #11729819C2semidirect
7. #11729802C2semidirect
8. #11729801C2semidirect
9. #11729791C2semidirect
10. C2×#89346C2semidirect
11. #11729719C2semidirect
16. C2×C7×#135C4semidirect
58. C2×C7×#41C2×C4semidirect
76. C2×C7×Q16C2×C4semidirect
81. C2×C7×SD16C2×C4semidirect
82. C2×C7×SD16C2×C4semidirect
85. C2×C7×D8C2×C4semidirect
88. C22×C7×C8C2×C4semidirect
148. C7×#41C22⋊C4semidirect
243. C2×#135Dic7semidirect
363. C2×#41C2×Dic7semidirect
381. C2×Q16C2×Dic7semidirect
386. C2×SD16C2×Dic7semidirect
387. C2×SD16C2×Dic7semidirect
390. C2×D8C2×Dic7semidirect
397. C22×C8C2×Dic7semidirect
481. #41C22⋊Dic7semidirect
661. C7#20937semidirect

Maximal subgroups

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

subgroupindex
C22×C7×#1352
C2×#905182
#117415322
C2×#900042
#117298192
#117298022
#117298012
#117297912
C2×#893462
#117297192
#209377