Finite Group Databasebeta

← #13360211

Subgroups — #13360211

Order 1792.

1044 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
1C2×C7×#460C211yesmaximal, characteristic
2C2×#89936C211yesmaximal, characteristic, complemented
3C2×SD16×Dic7C211yesmaximal, characteristic, complemented
4#11740617C211yesmaximal, characteristic
5#11739895C211yesmaximal, characteristic, complemented
6#11729802C211yesmaximal, characteristic, complemented
7#11729802C211yesmaximal, characteristic, complemented
8#11729515C211yesmaximal, characteristic
9#11729381C211yesmaximal, characteristic, complemented
10#11728209C211yesmaximal, characteristic, complemented
11#11728196C211yesmaximal, characteristic, complemented
12#11727910C211yesmaximal, characteristic, complemented
13#11727909C211yesmaximal, characteristic, complemented
14#11727906C211yesmaximal, characteristic, complemented
15Dic7×#102C211yesmaximal, characteristic, complemented
16C22×C7×SD16C2211yescharacteristic
17C22×C7×SD16C2211yescharacteristic
18C2×C7×#127C2211yescharacteristic
19C2×C4×C7×Q8C2211yescharacteristic
20C2×Q8×Dic7C2211yescharacteristic
21C2×Q8×Dic7C2211yescharacteristic
22C2×D4×Dic7C2211yescharacteristic
23C2×D4×Dic7C2211yescharacteristic
24C7×#460C418yescomplemented
25C2×C7×C4⋊C8C2211yescharacteristic
26C2×C7×#102C2211yescharacteristic
27C2×C7×#102C2211yescharacteristic
28C2×#6409C2211yescharacteristic
29C2×#6409C2211yescharacteristic
30#89993C2211yescharacteristic
31#89993C2211yescharacteristic
32#89992—21no—
33#89992—21no—
34#89992—21no—
35#89992—21no—
36C2×#6406C2211yescharacteristic
37C2×#6406C2211yescharacteristic
38C2×#6406C2211yescharacteristic
39C2×#6406C2211yescharacteristic
40#89936—24no—
41SD16×Dic7—24no—
42C2×#6392C2211yescharacteristic
43C2×#6391C2211yescharacteristic
44C2×#6389C2211yescharacteristic
45C2×C8×Dic7C2211yescharacteristic
46C4⋊C4×Dic7—21no—
47C4⋊C4×Dic7—21no—
48C4⋊C4×Dic7C2211yescharacteristic
49C4⋊C4×Dic7C2211yescharacteristic
50#89708C2211yescharacteristic
51C4×C4⋊Dic7—21no—
52C4×C4⋊Dic7C2211yescharacteristic
53#89704—21no—
54#89704C2211yescharacteristic
55C2×C4⋊(C7⋊C8)C2211yescharacteristic
56#89346C2211yescharacteristic
57#89346C2211yescharacteristic
58#89345C2211yescharacteristic
59#89345C2211yescharacteristic
60#89324C2211yescharacteristic
61#89324C2211yescharacteristic
62#21515—71nomaximal, Sylow
63C22×C7×Q8C2311yescharacteristic
64C22×C7×D4—21no—
65C22×C7×D4—21no—
66C22×C7×D4C2311yescharacteristic
67C22×C7×D4C2311yescharacteristic
68C23×Dic7—21no—
69C23×Dic7—21no—
70C2×C7×SD16—22no—
71C2×C7×SD16—22no—
72C2×C7×SD16—22no—
73C2×C7×SD16—22no—
74C2×C7×SD16C2×C414yescomplemented
75C2×C7×SD16C2×C414yescomplemented
76C22×C7×C8C2311yescharacteristic
77C22×C7×C8C2311yescharacteristic
78C7×#127—22no—
79C7×#127C2×C414yes—
80C4×C7×Q8—22no—
81C4×C7×Q8C2×C414yescomplemented
82C2×C7×C4⋊C4—21no—
83C2×C7×C4⋊C4C2311yescharacteristic
84C2×C42×C7—21no—
85C2×C42×C7C2311yescharacteristic
86C2×C22⋊Dic7—21no—
87C2×C22⋊Dic7—21no—
88C2×C22⋊Dic7—21no—
89C2×C22⋊Dic7—21no—
90C2×C22⋊Dic7—21no—
91C2×C22⋊Dic7—21no—
92Q8×Dic7—22no—
93Q8×Dic7—22no—
94Q8×Dic7—22no—
95Q8×Dic7D414yescomplemented
96D4×Dic7—22no—
97D4×Dic7—22no—
98D4×Dic7—22no—
99D4×Dic7—22no—
100C2×C4⋊Dic7—21no—
101C2×C4⋊Dic7—21no—
102C2×C4⋊Dic7C2311yescharacteristic
103C2×C4⋊Dic7C2311yescharacteristic
104C2×C4⋊Dic7C2311yescharacteristic
105C2×C4⋊Dic7C2311yescharacteristic
106C2×C4×Dic7—21no—
107C2×C4×Dic7—21no—
108C2×C4×Dic7—21no—
109C2×C4×Dic7—21no—
110C2×C4×Dic7—21no—
111C2×C4×Dic7C2311yescharacteristic
112C2×C4×Dic7C2311yescharacteristic
113C22×C7⋊C8C2311yescharacteristic
114C22×C7⋊C8C2311yescharacteristic
115C7×C4⋊C8C2×C414yescomplemented
116C7×#102C2×C414yescomplemented
117C7×#102C2×C414yescomplemented
118#6409—22no—
119#6409—22no—
120#6406—22no—
121#6406—22no—
122#6406—22no—
123#6406—22no—
124C7⋊#95—21no—
125C7⋊#95—21no—
126C7⋊#95—21no—
127C7⋊#95—21no—
128C7⋊#95—21no—
129C7⋊#95D411yescharacteristic
130C7⋊#95D411yescharacteristic
131C7⋊#95D411yescharacteristic
132C7⋊#95D411yescharacteristic
133#6392—22no—
134#6391—22no—
135#6389—22no—
136C8×Dic7—22no—
137C4⋊(C7⋊C8)—22no—
138C2×#460D711yescharacteristic
139C2×#440—71no—
140C2×C4×SD16—71no—
141#2328—71no—
142#2276—71no—
143#1982—71no—
144#1949—71no—
145#1926—71no—
146#1925—71no—
147#1880—71no—
148#1880—71no—
149#1805—71no—
150#1768—71no—
151#1762—71no—
152C4×#102—71no—
153C24×C7—21no—
154C24×C7—21no—
155C2×C7×Q8—21no—
156C2×C7×Q8—21no—
157C2×C7×Q8—21no—
158C2×C7×Q8C22×C412yes—
159C2×C7×Q8C2×D412yes—
160C2×C7×Q8#4112yes—
161C2×C7×D4—24no—
162C2×C7×D4—24no—
163C2×C7×D4—21no—
164C2×C7×D4—21no—
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—81no—
174C2×C7×D4—81no—
175C2×C7×D4—81no—
176C2×C7×D4—81no—
177C2×C7×D4C22×C412yes—
178C2×C7×D4C22×C412yes—
179C22×C4×C7—21no—
180C22×C4×C7—21no—
181C22×C4×C7C2×D411yescharacteristic
182C22×C4×C7C2×D411yescharacteristic
183C22×C4×C7C2411yescharacteristic
184C22×Dic7—21no—
185C22×Dic7—21no—
186C22×Dic7—21no—
187C22×Dic7—21no—
188C22×Dic7—42no—
189C22×Dic7—42no—
190C22×Dic7—81no—
191C22×Dic7—81no—
192C22×Dic7—81no—
193C22×Dic7—81no—
194C22×Dic7C2×D411yescharacteristic
195C22×Dic7C2×D411yescharacteristic
196C22×Dic7C2×D411yescharacteristic
197C22×Dic7C2×D411yescharacteristic
198C7×SD16—28no—
199C7×SD16—28no—
200C2×C7×C8—21no—
201C2×C7×C8—21no—
202C2×C7×C8—21no—
203C2×C7×C8—21no—
204C2×C7×C8C22×C412yes—
205C2×C7×C8C22×C412yes—
206C7×C4⋊C4—24no—
207C7×C4⋊C4—21no—
208C7×C4⋊C4C22×C412yes—
209C42×C7—24no—
210C42×C7C22×C412yes—
211C42×C7#4112yes—
212C22⋊Dic7—42no—
213C22⋊Dic7—42no—
214C22⋊Dic7—81no—
215C22⋊Dic7—81no—
216C22⋊Dic7—81no—
217C22⋊Dic7—81no—
218C4⋊Dic7—24no—
219C4⋊Dic7—21no—
220C4⋊Dic7—21no—
221C4⋊Dic7—24no—
222C4⋊Dic7—21no—
223C4⋊Dic7—21no—
224C4⋊Dic7—21no—
225C4⋊Dic7—21no—
226C4⋊Dic7C2×D412yes—
227C4⋊Dic7#4112yes—
228C4×Dic7—24no—
229C4×Dic7—21no—
230C4×Dic7—21no—
231C4×Dic7—24no—
232C4×Dic7—81no—
233C4×Dic7—81no—
234C4×Dic7—81no—
235C4×Dic7C2×D412yes—
236C4×Dic7#4112yes—
237C2×C7⋊C8—21no—
238C2×C7⋊C8—21no—
239C2×C7⋊C8—21no—
240C2×C7⋊C8—21no—
241C2×C7⋊C8—21no—
242C2×C7⋊C8—21no—
243C22×SD16C2×D711yescharacteristic
244C22×SD16C2×D711yescharacteristic
245C2×#127C2×D711yescharacteristic
246C2×C4×Q8—71no—
247C2×C4×Q8—71no—
248C2×C4×Q8C2×D711yescharacteristic
249C2×C4×D4—71no—
250C2×C4×D4—71no—
251#460Dic718yescomplemented
252#440—144no—
253C4×SD16—144no—
254C2×#107—71no—
255C2×#106—71no—
256C2×C4⋊C8—71no—
257C2×C4⋊C8C2×D711yescharacteristic
258C2×#103—71no—
259C2×#103—71no—
260C2×#102—71no—
261C2×#102—71no—
262C2×#102—71no—
263C2×#102—71no—
264C2×#102C2×D711yescharacteristic
265C2×#102C2×D711yescharacteristic
266C2×#97—71no—
267C2×C4×C8—71no—
268#390—71no—
269#390—71no—
270#386—141no—
271#386—141no—
272#386—141no—
273#386—141no—
274#382—71no—
275C4×C4⋊C4—71no—
276C4×C4⋊C4—71no—
277C4×C4⋊C4—71no—
278C4×C4⋊C4—141no—
279C4×C4⋊C4—141no—
280C4×C4⋊C4—141no—
281#376—71no—
282#376—141no—
283#340—71no—
284#340—71no—
285#340—71no—
286#340—71no—
287#336—71no—
288#336—71no—
289C23×C7—22no—
290C23×C7—22no—
291C23×C7—41no—
292C23×C7—41no—
293C23×C7—41no—
294C23×C7—41no—
295C23×C7—41no—
296C23×C7—41no—
297C23×C7—41no—
298C23×C7—41no—
299C23×C7—41no—
300C23×C7—41no—
301C23×C7—41no—
302C23×C7—41no—
303C23×C7C22×D411yescharacteristic
304C7×Q8—22no—
305C7×Q8—22no—
306C7×Q8—22no—
307C7×Q8C4×D414yes—
308C7×D4—22no—
309C7×D4—22no—
310C7×D4—22no—
311C7×D4—22no—
312C7×D4—41no—
313C7×D4—41no—
314C7×D4—41no—
315C7×D4—41no—
316C7×D4—84no—
317C7×D4—84no—
318C2×C4×C7—22no—
319C2×C4×C7—22no—
320C2×C4×C7—22no—
321C2×C4×C7—21no—
322C2×C4×C7—21no—
323C2×C4×C7—21no—
324C2×C4×C7—21no—
325C2×C4×C7—22no—
326C2×C4×C7—41no—
327C2×C4×C7—41no—
328C2×C4×C7C4×D412yes—
329C2×C4×C7C4×D412yes—
330C2×C4×C7C23×C411yescharacteristic
331C2×C4×C7C22×D411yescharacteristic
332C2×C4×C7C2×#4111yescharacteristic
333C2×C4×C7C2×#4111yescharacteristic
334C2×C4×C7C2×#4111yescharacteristic
335C2×C4×C7C2×#4111yescharacteristic
336C2×Dic7—21no—
337C2×Dic7—21no—
338C2×Dic7—21no—
339C2×Dic7—21no—
340C2×Dic7—22no—
341C2×Dic7—21no—
342C2×Dic7—21no—
343C2×Dic7—22no—
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×Dic7—84no—
359C2×Dic7—84no—
360C2×Dic7#12112yes—
361C2×Dic7#12112yes—
362C7×C8—22no—
363C7×C8—22no—
364C7⋊C8—41no—
365C7⋊C8—41no—
366C22×Q8C22×D711yescharacteristic
367C22×D4—21no—
368C22×D4—21no—
369C22×D4C22×D711yescharacteristic
370C22×D4C22×D711yescharacteristic
371C23×C4—141no—
372C23×C4—141no—
373C2×SD16—22no—
374C2×SD16—22no—
375C2×SD16—22no—
376C2×SD16—22no—
377C2×SD16C2×Dic714yescomplemented
378C2×SD16C2×Dic714yescomplemented
379C22×C8—71no—
380C22×C8—71no—
381C22×C8C22×D711yescharacteristic
382C22×C8C22×D711yescharacteristic
383#127—22no—
384#127C2×Dic714yes—
385C4×Q8—22no—
386C4×Q8—74no—
387C4×Q8—142no—
388C4×Q8—142no—
389C4×Q8—142no—
390C4×Q8C2×Dic714yescomplemented
391C4×D4—142no—
392C4×D4—142no—
393C4×D4—142no—
394C4×D4—142no—
395C2×C4⋊C4—21no—
396C2×C4⋊C4—71no—
397C2×C4⋊C4—71no—
398C2×C4⋊C4—71no—
399C2×C4⋊C4—71no—
400C2×C4⋊C4—141no—
401C2×C4⋊C4—141no—
402C2×C4⋊C4C22×D711yescharacteristic
403C2×C22⋊C4—141no—
404C2×C22⋊C4—141no—
405C2×C22⋊C4—141no—
406C2×C22⋊C4—141no—
407C2×C22⋊C4—141no—
408C2×C22⋊C4—141no—
409C2×C42—21no—
410C2×C42—71no—
411C2×C42—71no—
412C2×C42—141no—
413C2×C42—141no—
414C2×C42—141no—
415C2×C42—141no—
416C2×C42—141no—
417C2×C42C22×D711yescharacteristic
418#107—142no—
419#106—142no—
420C4⋊C8—142no—
421C4⋊C8C2×Dic714yescomplemented
422#103—142no—
423#103—142no—
424#102—142no—
425#102—142no—
426#102—142no—
427#102—142no—
428#102C2×Dic714yescomplemented
429#102C2×Dic714yescomplemented
430#97—142no—
431C4×C8—142no—
432#95—71no—
433#95—71no—
434#95—71no—
435#95—71no—
436#95—141no—
437#95—141no—
438#95—141no—
439#95—141no—
440#95—141no—
441C22×C7—42no—
442C22×C7—42no—
443C22×C7—42no—
444C22×C7—42no—
445C22×C7—42no—
446C22×C7—42no—
447C22×C7—81no—
448C22×C7—81no—
449C22×C7—81no—
450C22×C7—81no—
451C22×C7—81no—
452C22×C7—81no—
453C22×C7—81no—
454C22×C7—81no—
455C22×C7C2×C4×D411yescharacteristic
456C22×C7C2×#12111yescharacteristic
457C22×C7#52511yescharacteristic
458C22×C7#57611yescharacteristic
459C22×C7#57711yescharacteristic
460C22×C7#57711yescharacteristic
461C22×C7#57711yescharacteristic
462C4×C7—22no—
463C4×C7—22no—
464C4×C7—24no—
465C4×C7—42no—
466C4×C7C2×C4×D411yescharacteristic
467C4×C7C4×#4111yescharacteristic
468C4×C7#52911yescharacteristic
469C4×C7#53211yescharacteristic
470Dic7—22no—
471Dic7—22no—
472Dic7—41no—
473Dic7—42no—
474Dic7—41no—
475Dic7—42no—
476Dic7—81no—
477Dic7—81no—
478C24—21no—
479C24—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8D4×D712yes—
484C2×Q8#115912yes—
485C2×Q8C22×Dic712yes—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—81no—
499C2×D4—81no—
500C2×D4—81no—
501C2×D4—81no—
502C2×D4C22×Dic712yes—
503C2×D4C22×Dic712yes—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—71no—
507C22×C4—71no—
508C22×C4—71no—
509C22×C4—71no—
510C22×C4—141no—
511C22×C4—141no—
512C22×C4—141no—
513C22×C4—141no—
514C22×C4—282no—
515C22×C4—282no—
516C22×C4—561no—
517C22×C4—561no—
518C22×C4—561no—
519C22×C4—561no—
520C22×C4D4×D711yescharacteristic
521C22×C4D4×D711yescharacteristic
522C22×C4C23×D711yescharacteristic
523SD16—28no—
524SD16—28no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—141no—
530C2×C8—141no—
531C2×C8—141no—
532C2×C8—141no—
533C2×C8—141no—
534C2×C8—141no—
535C2×C8C22×Dic712yes—
536C2×C8C22×Dic712yes—
537C4⋊C4—24no—
538C4⋊C4—21no—
539C4⋊C4—72no—
540C4⋊C4—72no—
541C4⋊C4—144no—
542C4⋊C4—144no—
543C4⋊C4—141no—
544C4⋊C4—141no—
545C4⋊C4—141no—
546C4⋊C4—141no—
547C4⋊C4—141no—
548C4⋊C4—141no—
549C4⋊C4C22×Dic712yes—
550C22⋊C4—282no—
551C22⋊C4—282no—
552C22⋊C4—561no—
553C22⋊C4—561no—
554C22⋊C4—561no—
555C22⋊C4—561no—
556C42—24no—
557C42—72no—
558C42—72no—
559C42—144no—
560C42—144no—
561C42—141no—
562C42—141no—
563C42—561no—
564C42—561no—
565C42—561no—
566C42#115912yes—
567C42C22×Dic712yes—
568C2×C7—82no—
569C2×C7—82no—
570C2×C7C4×#12111yescharacteristic
571C2×C7#294611yescharacteristic
572C2×C7#294911yescharacteristic
573C2×C7#304311yescharacteristic
574C2×C7#304511yescharacteristic
575C2×C7#311911yescharacteristic
576C2×C7#312611yescharacteristic
577C23—22no—
578C23—22no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23C2×D4×D711yescharacteristic
592Q8—22no—
593Q8—22no—
594Q8—22no—
595Q8D4×Dic714yes—
596D4—22no—
597D4—22no—
598D4—22no—
599D4—22no—
600D4—41no—
601D4—41no—
602D4—41no—
603D4—41no—
604D4—84no—
605D4—84no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—72no—
617C2×C4—72no—
618C2×C4—141no—
619C2×C4—141no—
620C2×C4—141no—
621C2×C4—141no—
622C2×C4—141no—
623C2×C4—141no—
624C2×C4—141no—
625C2×C4—141no—
626C2×C4—142no—
627C2×C4—141no—
628C2×C4—142no—
629C2×C4—141no—
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—564no—
641C2×C4—564no—
642C2×C4D4×Dic712yes—
643C2×C4D4×Dic712yes—
644C2×C4C2×D4×D711yescharacteristic
645C2×C4C2×#115911yescharacteristic
646C2×C4C2×#115911yescharacteristic
647C2×C4D7×#4111yescharacteristic
648C2×C4D7×#4111yescharacteristic
649C2×C4C23×Dic711yescharacteristic
650C8—22no—
651C8—22no—
652C8—281no—
653C8—281no—
654C7#2151511yescharacteristic, complemented, Sylow
655C22—42no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—81no—
662C22—81no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22D7×#12111yescharacteristic
670C22#9029711yescharacteristic
671C22#9045311yescharacteristic
672C22#9045311yescharacteristic
673C22#9046511yescharacteristic
674C22#9046611yescharacteristic
675C22C2×D4×Dic711yescharacteristic
676C4—22no—
677C4—24no—
678C4—22no—
679C4—42no—
680C4—142no—
681C4—142no—
682C4—281no—
683C4—282no—
684C4—281no—
685C4—282no—
686C4—561no—
687C4—561no—
688C4#9028711yescharacteristic
689C4#9029111yescharacteristic
690C4C2×D4×Dic711yescharacteristic
691C4#41×Dic711yescharacteristic
692C2—82no—
693C2—82no—
694C2#1173780911yescharacteristic
695C2#1173781011yescharacteristic
696C2#1173783011yescharacteristic
697C2#1173783111yescharacteristic
698C2Dic7×#12111yescharacteristic
699C2#1174128811yescharacteristic
700C2#1174137511yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC2×C7×#460C2
socleC23×C7C22×D4
prime radicalC2×C7×#127C22
cosocleC22×C4×C7C24
hypercenterC2×#460D7
hypocenterC7#21515
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#460

Complements

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

NH ≅ G/Ntype
2. C2×#89936C2semidirect
3. C2×SD16×Dic7C2semidirect
5. #11739895C2semidirect
6. #11729802C2semidirect
7. #11729802C2semidirect
9. #11729381C2semidirect
10. #11728209C2semidirect
11. #11728196C2semidirect
12. #11727910C2semidirect
13. #11727909C2semidirect
14. #11727906C2semidirect
15. Dic7×#102C2semidirect
24. C7×#460C4semidirect
74. C2×C7×SD16C2×C4semidirect
75. C2×C7×SD16C2×C4semidirect
81. C4×C7×Q8C2×C4semidirect
95. Q8×Dic7D4semidirect
115. C7×C4⋊C8C2×C4semidirect
116. C7×#102C2×C4semidirect
117. C7×#102C2×C4semidirect
251. #460Dic7semidirect
377. C2×SD16C2×Dic7semidirect
378. C2×SD16C2×Dic7semidirect
390. C4×Q8C2×Dic7semidirect
421. C4⋊C8C2×Dic7semidirect
428. #102C2×Dic7semidirect
429. #102C2×Dic7semidirect
654. C7#21515semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#4602
C2×#899362
C2×SD16×Dic72
#117406172
#117398952
#117298022
#117295152
#117293812
#117282092
#117281962
#117279102
#117279092
#117279062
Dic7×#1022
#215157