Finite Group Databasebeta

← #13360181

Subgroups — #13360181

Order 1792.

1120 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#459C211yesmaximal, characteristic
2C2×#89924C211yesmaximal, characteristic, complemented
3C2×D8×Dic7C211yesmaximal, characteristic, complemented
4#11740617C211yesmaximal, characteristic, complemented
5#11739762C211yesmaximal, characteristic, complemented
6#11729791C211yesmaximal, characteristic, complemented
7#11729791C211yesmaximal, characteristic, complemented
8#11729515C211yesmaximal, characteristic, complemented
9#11729359C211yesmaximal, 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×D8C2211yescharacteristic
17C22×C7×D8C2211yescharacteristic
18C2×C7×#127C2211yescharacteristic
19C2×C4×C7×D4C2211yescharacteristic
20C2×D4×Dic7C2211yescharacteristic
21C2×D4×Dic7C2211yescharacteristic
22C2×D4×Dic7C2211yescharacteristic
23C2×D4×Dic7C2211yescharacteristic
24C7×#459C418yescomplemented
25C2×C7×C4⋊C8C2211yescharacteristic
26C2×C7×#102C2211yescharacteristic
27C2×C7×#102C2211yescharacteristic
28#89993C2211yescharacteristic
29#89993C2211yescharacteristic
30#89992—21no—
31#89992—21no—
32#89992—21no—
33#89992—21no—
34C2×#6406C2211yescharacteristic
35C2×#6406C2211yescharacteristic
36C2×#6406C2211yescharacteristic
37C2×#6406C2211yescharacteristic
38C2×#6406C2211yescharacteristic
39C2×#6406C2211yescharacteristic
40C4×C22⋊Dic7—21no—
41C2×C7⋊#95—21no—
42#89924—24no—
43D8×Dic7—24no—
44C2×#6392C2211yescharacteristic
45C2×#6391C2211yescharacteristic
46C2×#6389C2211yescharacteristic
47C2×C8×Dic7C2211yescharacteristic
48C4⋊C4×Dic7C2211yescharacteristic
49C4⋊C4×Dic7C2211yescharacteristic
50C22⋊C4×Dic7—21no—
51C22⋊C4×Dic7—21no—
52#89708C2211yescharacteristic
53C4×C4⋊Dic7C2211yescharacteristic
54#89704C2211yescharacteristic
55C2×C4⋊(C7⋊C8)C2211yescharacteristic
56#89346C2211yescharacteristic
57#89346C2211yescharacteristic
58#89345C2211yescharacteristic
59#89345C2211yescharacteristic
60#89324C2211yescharacteristic
61#89324C2211yescharacteristic
62#21513—71nomaximal, Sylow
63C22×C7×D4—21no—
64C22×C7×D4—21no—
65C22×C7×D4C2311yescharacteristic
66C22×C7×D4C2311yescharacteristic
67C22×C7×D4C2311yescharacteristic
68C23×C4×C7—21no—
69C23×Dic7—21no—
70C23×Dic7—21no—
71C23×Dic7—21no—
72C23×Dic7—21no—
73C2×C7×D8—22no—
74C2×C7×D8—22no—
75C2×C7×D8—22no—
76C2×C7×D8—22no—
77C2×C7×D8C2×C414yescomplemented
78C2×C7×D8C2×C414yescomplemented
79C22×C7×C8C2311yescharacteristic
80C22×C7×C8C2311yescharacteristic
81C7×#127—22no—
82C7×#127C2×C414yescomplemented
83C4×C7×D4—22no—
84C4×C7×D4C2×C414yescomplemented
85C2×C7×C4⋊C4C2311yescharacteristic
86C2×C7×C22⋊C4—21no—
87C2×C42×C7C2311yescharacteristic
88C2×C22⋊Dic7—21no—
89C2×C22⋊Dic7—21no—
90C2×C22⋊Dic7—21no—
91C2×C22⋊Dic7—21no—
92C2×C22⋊Dic7—21no—
93C2×C22⋊Dic7—21no—
94C2×C22⋊Dic7—21no—
95C2×C22⋊Dic7—21no—
96D4×Dic7—22no—
97D4×Dic7—22no—
98D4×Dic7—22no—
99D4×Dic7—22no—
100D4×Dic7—22no—
101D4×Dic7—22no—
102D4×Dic7—22no—
103D4×Dic7D414yescomplemented
104C2×C4⋊Dic7C2311yescharacteristic
105C2×C4⋊Dic7C2311yescharacteristic
106C2×C4⋊Dic7C2311yescharacteristic
107C2×C4⋊Dic7C2311yescharacteristic
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#6406—22no—
119#6406—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×#459D711yescharacteristic
139C2×#442—71no—
140C2×C4×D8—71no—
141#2328—71no—
142#2275—71no—
143#1982—71no—
144#1949—71no—
145#1926—71no—
146#1925—71no—
147#1879—71no—
148#1879—71no—
149#1804—71no—
150#1768—71no—
151#1762—71no—
152C4×#102—71no—
153C24×C7—21no—
154C24×C7—21no—
155C24×C7—21no—
156C2×C7×D4—24no—
157C2×C7×D4—24no—
158C2×C7×D4—21no—
159C2×C7×D4—21no—
160C2×C7×D4—21no—
161C2×C7×D4—21no—
162C2×C7×D4—21no—
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—81no—
172C2×C7×D4—81no—
173C2×C7×D4—81no—
174C2×C7×D4—81no—
175C2×C7×D4C22×C412yes—
176C2×C7×D4C22×C412yes—
177C2×C7×D4C22×C412yes—
178C2×C7×D4C2×D412yes—
179C2×C7×D4#4112yes—
180C22×C4×C7—21no—
181C22×C4×C7—24no—
182C22×C4×C7—81no—
183C22×C4×C7—81no—
184C22×C4×C7C2×D411yescharacteristic
185C22×C4×C7C2×D411yescharacteristic
186C22×C4×C7C2411yescharacteristic
187C22×Dic7—21no—
188C22×Dic7—21no—
189C22×Dic7—24no—
190C22×Dic7—24no—
191C22×Dic7—21no—
192C22×Dic7—21no—
193C22×Dic7—42no—
194C22×Dic7—42no—
195C22×Dic7—81no—
196C22×Dic7—81no—
197C22×Dic7—81no—
198C22×Dic7—81no—
199C22×Dic7—81no—
200C22×Dic7—81no—
201C22×Dic7—81no—
202C22×Dic7—81no—
203C22×Dic7C2×D411yescharacteristic
204C22×Dic7C2×D411yescharacteristic
205C22×Dic7C2×D411yescharacteristic
206C22×Dic7C2×D411yescharacteristic
207C7×D8—28no—
208C7×D8—28no—
209C2×C7×C8—21no—
210C2×C7×C8—21no—
211C2×C7×C8—21no—
212C2×C7×C8—21no—
213C2×C7×C8C22×C412yes—
214C2×C7×C8C22×C412yes—
215C7×C4⋊C4—21no—
216C7×C4⋊C4C22×C412yes—
217C7×C22⋊C4—24no—
218C42×C7C22×C412yes—
219C42×C7#4112yes—
220C22⋊Dic7—24no—
221C22⋊Dic7—24no—
222C22⋊Dic7—42no—
223C22⋊Dic7—42no—
224C22⋊Dic7—81no—
225C22⋊Dic7—81no—
226C22⋊Dic7—81no—
227C22⋊Dic7—81no—
228C4⋊Dic7—21no—
229C4⋊Dic7—21no—
230C4⋊Dic7—21no—
231C4⋊Dic7—21no—
232C4⋊Dic7—21no—
233C4⋊Dic7—21no—
234C4⋊Dic7C2×D412yes—
235C4⋊Dic7#4112yes—
236C4×Dic7—21no—
237C4×Dic7—21no—
238C4×Dic7—81no—
239C4×Dic7—81no—
240C4×Dic7—81no—
241C4×Dic7C2×D412yes—
242C4×Dic7#4112yes—
243C2×C7⋊C8—21no—
244C2×C7⋊C8—21no—
245C2×C7⋊C8—21no—
246C2×C7⋊C8—21no—
247C2×C7⋊C8—21no—
248C2×C7⋊C8—21no—
249C22×D8C2×D711yescharacteristic
250C22×D8C2×D711yescharacteristic
251C2×#127C2×D711yescharacteristic
252C2×C4×D4—71no—
253C2×C4×D4—71no—
254C2×C4×D4—71no—
255C2×C4×D4—71no—
256C2×C4×D4C2×D711yescharacteristic
257#459Dic718yescomplemented
258#442—144no—
259C4×D8—144no—
260C2×#107—71no—
261C2×#106—71no—
262C2×C4⋊C8—71no—
263C2×C4⋊C8C2×D711yescharacteristic
264C2×#102—71no—
265C2×#102—71no—
266C2×#102—71no—
267C2×#102—71no—
268C2×#102—71no—
269C2×#102—71no—
270C2×#102C2×D711yescharacteristic
271C2×#102C2×D711yescharacteristic
272C2×#97—71no—
273C2×C4×C8—71no—
274#390—71no—
275#390—71no—
276#386—141no—
277#386—141no—
278#386—141no—
279#386—141no—
280#382—71no—
281C4×C4⋊C4—71no—
282C4×C4⋊C4—71no—
283C4×C4⋊C4—71no—
284C4×C22⋊C4—141no—
285C4×C22⋊C4—141no—
286C4×C22⋊C4—141no—
287#376—71no—
288C2×#95—141no—
289#340—71no—
290#340—71no—
291#340—71no—
292#340—71no—
293#336—71no—
294#336—71no—
295C23×C7—22no—
296C23×C7—22no—
297C23×C7—22no—
298C23×C7—22no—
299C23×C7—22no—
300C23×C7—41no—
301C23×C7—41no—
302C23×C7—41no—
303C23×C7—41no—
304C23×C7—41no—
305C23×C7—41no—
306C23×C7—41no—
307C23×C7—41no—
308C23×C7—41no—
309C23×C7—41no—
310C23×C7—41no—
311C23×C7—41no—
312C23×C7—41no—
313C23×C7—41no—
314C23×C7—41no—
315C23×C7—41no—
316C23×C7C22×D411yescharacteristic
317C7×D4—22no—
318C7×D4—22no—
319C7×D4—22no—
320C7×D4—22no—
321C7×D4—22no—
322C7×D4—22no—
323C7×D4—22no—
324C7×D4—41no—
325C7×D4—41no—
326C7×D4—41no—
327C7×D4—41no—
328C7×D4—84no—
329C7×D4—84no—
330C7×D4C4×D414yes—
331C2×C4×C7—21no—
332C2×C4×C7—21no—
333C2×C4×C7—21no—
334C2×C4×C7—21no—
335C2×C4×C7—22no—
336C2×C4×C7—41no—
337C2×C4×C7—41no—
338C2×C4×C7—84no—
339C2×C4×C7C4×D412yes—
340C2×C4×C7C4×D412yes—
341C2×C4×C7C23×C411yescharacteristic
342C2×C4×C7C22×D411yescharacteristic
343C2×C4×C7C2×#4111yescharacteristic
344C2×C4×C7C2×#4111yescharacteristic
345C2×C4×C7C2×#4111yescharacteristic
346C2×C4×C7C2×#4111yescharacteristic
347C2×Dic7—21no—
348C2×Dic7—21no—
349C2×Dic7—21no—
350C2×Dic7—21no—
351C2×Dic7—22no—
352C2×Dic7—21no—
353C2×Dic7—21no—
354C2×Dic7—22no—
355C2×Dic7—21no—
356C2×Dic7—21no—
357C2×Dic7—21no—
358C2×Dic7—21no—
359C2×Dic7—41no—
360C2×Dic7—41no—
361C2×Dic7—41no—
362C2×Dic7—41no—
363C2×Dic7—41no—
364C2×Dic7—41no—
365C2×Dic7—41no—
366C2×Dic7—41no—
367C2×Dic7—41no—
368C2×Dic7—41no—
369C2×Dic7—84no—
370C2×Dic7—84no—
371C2×Dic7—84no—
372C2×Dic7—84no—
373C2×Dic7#12112yes—
374C2×Dic7#12112yes—
375C7×C8—22no—
376C7×C8—22no—
377C7⋊C8—41no—
378C7⋊C8—41no—
379C22×D4—21no—
380C22×D4—21no—
381C22×D4C22×D711yescharacteristic
382C22×D4C22×D711yescharacteristic
383C22×D4C22×D711yescharacteristic
384C23×C4—21no—
385C23×C4—141no—
386C23×C4—141no—
387C23×C4—141no—
388C23×C4—141no—
389C2×D8—22no—
390C2×D8—22no—
391C2×D8—22no—
392C2×D8—22no—
393C2×D8C2×Dic714yescomplemented
394C2×D8C2×Dic714yescomplemented
395C22×C8—71no—
396C22×C8—71no—
397C22×C8C22×D711yescharacteristic
398C22×C8C22×D711yescharacteristic
399#127—22no—
400#127C2×Dic714yescomplemented
401C4×D4—22no—
402C4×D4—74no—
403C4×D4—142no—
404C4×D4—142no—
405C4×D4—142no—
406C4×D4—142no—
407C4×D4—142no—
408C4×D4—142no—
409C4×D4—142no—
410C4×D4C2×Dic714yescomplemented
411C2×C4⋊C4—71no—
412C2×C4⋊C4—71no—
413C2×C4⋊C4—71no—
414C2×C4⋊C4—71no—
415C2×C4⋊C4C22×D711yescharacteristic
416C2×C22⋊C4—21no—
417C2×C22⋊C4—141no—
418C2×C22⋊C4—141no—
419C2×C22⋊C4—141no—
420C2×C22⋊C4—141no—
421C2×C22⋊C4—141no—
422C2×C22⋊C4—141no—
423C2×C22⋊C4—141no—
424C2×C22⋊C4—141no—
425C2×C42—71no—
426C2×C42—71no—
427C2×C42—141no—
428C2×C42—141no—
429C2×C42—141no—
430C2×C42C22×D711yescharacteristic
431#107—142no—
432#106—142no—
433C4⋊C8—142no—
434C4⋊C8C2×Dic714yescomplemented
435#102—142no—
436#102—142no—
437#102—142no—
438#102—142no—
439#102—142no—
440#102—142no—
441#102C2×Dic714yescomplemented
442#102C2×Dic714yescomplemented
443#97—142no—
444C4×C8—142no—
445#95—71no—
446#95—71no—
447#95—71no—
448#95—71no—
449#95—141no—
450#95—141no—
451#95—141no—
452#95—141no—
453#95—141no—
454C22×C7—24no—
455C22×C7—42no—
456C22×C7—42no—
457C22×C7—42no—
458C22×C7—42no—
459C22×C7—42no—
460C22×C7—42no—
461C22×C7—42no—
462C22×C7—42no—
463C22×C7—42no—
464C22×C7—42no—
465C22×C7—42no—
466C22×C7—42no—
467C22×C7—81no—
468C22×C7—81no—
469C22×C7—81no—
470C22×C7—81no—
471C22×C7—81no—
472C22×C7—81no—
473C22×C7—81no—
474C22×C7—81no—
475C22×C7C2×C4×D411yescharacteristic
476C22×C7C2×#12111yescharacteristic
477C22×C7#52511yescharacteristic
478C22×C7#57611yescharacteristic
479C22×C7#57611yescharacteristic
480C22×C7#57611yescharacteristic
481C22×C7#57711yescharacteristic
482C4×C7—22no—
483C4×C7—22no—
484C4×C7—42no—
485C4×C7C2×C4×D411yescharacteristic
486C4×C7C4×#4111yescharacteristic
487C4×C7#52911yescharacteristic
488C4×C7#53211yescharacteristic
489Dic7—22no—
490Dic7—22no—
491Dic7—41no—
492Dic7—41no—
493Dic7—42no—
494Dic7—42no—
495Dic7—81no—
496Dic7—81no—
497C24—21no—
498C24—21no—
499C24—21no—
500C2×D4—24no—
501C2×D4—24no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—81no—
516C2×D4—81no—
517C2×D4—81no—
518C2×D4—81no—
519C2×D4D4×D712yes—
520C2×D4#115912yes—
521C2×D4C22×Dic712yes—
522C2×D4C22×Dic712yes—
523C2×D4C22×Dic712yes—
524C22×C4—21no—
525C22×C4—24no—
526C22×C4—71no—
527C22×C4—71no—
528C22×C4—71no—
529C22×C4—71no—
530C22×C4—81no—
531C22×C4—81no—
532C22×C4—144no—
533C22×C4—141no—
534C22×C4—141no—
535C22×C4—144no—
536C22×C4—141no—
537C22×C4—141no—
538C22×C4—282no—
539C22×C4—282no—
540C22×C4—561no—
541C22×C4—561no—
542C22×C4—561no—
543C22×C4—561no—
544C22×C4—561no—
545C22×C4—561no—
546C22×C4—561no—
547C22×C4—561no—
548C22×C4D4×D711yescharacteristic
549C22×C4D4×D711yescharacteristic
550C22×C4C23×D711yescharacteristic
551D8—28no—
552D8—28no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—141no—
558C2×C8—141no—
559C2×C8—141no—
560C2×C8—141no—
561C2×C8—141no—
562C2×C8—141no—
563C2×C8C22×Dic712yes—
564C2×C8C22×Dic712yes—
565C4⋊C4—21no—
566C4⋊C4—72no—
567C4⋊C4—72no—
568C4⋊C4—141no—
569C4⋊C4—141no—
570C4⋊C4—141no—
571C4⋊C4—141no—
572C4⋊C4—141no—
573C4⋊C4—141no—
574C4⋊C4C22×Dic712yes—
575C22⋊C4—24no—
576C22⋊C4—144no—
577C22⋊C4—144no—
578C22⋊C4—282no—
579C22⋊C4—282no—
580C22⋊C4—561no—
581C22⋊C4—561no—
582C22⋊C4—561no—
583C22⋊C4—561no—
584C42—72no—
585C42—72no—
586C42—141no—
587C42—141no—
588C42—561no—
589C42—561no—
590C42—561no—
591C42#115912yes—
592C42C22×Dic712yes—
593C2×C7—44no—
594C2×C7—82no—
595C2×C7—82no—
596C2×C7C4×#12111yescharacteristic
597C2×C7#294611yescharacteristic
598C2×C7#294811yescharacteristic
599C2×C7#304111yescharacteristic
600C2×C7#304511yescharacteristic
601C2×C7#311911yescharacteristic
602C2×C7#312211yescharacteristic
603C23—22no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23C2×D4×D711yescharacteristic
625D4—22no—
626D4—22no—
627D4—22no—
628D4—22no—
629D4—22no—
630D4—22no—
631D4—22no—
632D4—41no—
633D4—41no—
634D4—41no—
635D4—41no—
636D4—84no—
637D4—84no—
638D4D4×Dic714yes—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—22no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—72no—
647C2×C4—72no—
648C2×C4—84no—
649C2×C4—141no—
650C2×C4—141no—
651C2×C4—141no—
652C2×C4—141no—
653C2×C4—141no—
654C2×C4—141no—
655C2×C4—141no—
656C2×C4—141no—
657C2×C4—142no—
658C2×C4—141no—
659C2×C4—141no—
660C2×C4—142no—
661C2×C4—281no—
662C2×C4—281no—
663C2×C4—281no—
664C2×C4—281no—
665C2×C4—281no—
666C2×C4—281no—
667C2×C4—281no—
668C2×C4—281no—
669C2×C4—281no—
670C2×C4—281no—
671C2×C4—564no—
672C2×C4—564no—
673C2×C4—564no—
674C2×C4—564no—
675C2×C4D4×Dic712yes—
676C2×C4D4×Dic712yes—
677C2×C4C2×D4×D711yescharacteristic
678C2×C4C2×#115911yescharacteristic
679C2×C4C2×#115911yescharacteristic
680C2×C4D7×#4111yescharacteristic
681C2×C4D7×#4111yescharacteristic
682C2×C4C23×Dic711yescharacteristic
683C8—22no—
684C8—22no—
685C8—281no—
686C8—281no—
687C7#2151311yescharacteristic, complemented, Sylow
688C22—24no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—81no—
702C22—81no—
703C22—81no—
704C22—81no—
705C22—81no—
706C22—81no—
707C22—81no—
708C22—81no—
709C22D7×#12111yescharacteristic
710C22#9029711yescharacteristic
711C22#9044811yescharacteristic
712C22#9044811yescharacteristic
713C22#9046511yescharacteristic
714C22#9046611yescharacteristic
715C22C2×D4×Dic711yescharacteristic
716C4—22no—
717C4—22no—
718C4—42no—
719C4—142no—
720C4—142no—
721C4—281no—
722C4—281no—
723C4—282no—
724C4—282no—
725C4—561no—
726C4—561no—
727C4#9028711yescharacteristic
728C4#9029111yescharacteristic
729C4C2×D4×Dic711yescharacteristic
730C4#41×Dic711yescharacteristic
731C2—44no—
732C2—82no—
733C2—82no—
734C2#1173776111yescharacteristic
735C2#1173776211yescharacteristic
736C2#1173777911yescharacteristic
737C2#1173778011yescharacteristic
738C2Dic7×#12111yescharacteristic
739C2#1174126811yescharacteristic
740C2#1174137511yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
Fitting, prime radicalC2×C7×#459C2
socleC23×C7C22×D4
cosocleC22×C4×C7C24
hypercenterC2×#459D7
hypocenterC7#21513
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#459

Complements

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

NH ≅ G/Ntype
2. C2×#89924C2semidirect
3. C2×D8×Dic7C2semidirect
4. #11740617C2semidirect
5. #11739762C2semidirect
6. #11729791C2semidirect
7. #11729791C2semidirect
8. #11729515C2semidirect
9. #11729359C2semidirect
10. #11728209C2semidirect
11. #11728196C2semidirect
12. #11727910C2semidirect
13. #11727909C2semidirect
14. #11727906C2semidirect
15. Dic7×#102C2semidirect
24. C7×#459C4semidirect
77. C2×C7×D8C2×C4semidirect
78. C2×C7×D8C2×C4semidirect
82. C7×#127C2×C4semidirect
84. C4×C7×D4C2×C4semidirect
103. D4×Dic7D4semidirect
115. C7×C4⋊C8C2×C4semidirect
116. C7×#102C2×C4semidirect
117. C7×#102C2×C4semidirect
257. #459Dic7semidirect
393. C2×D8C2×Dic7semidirect
394. C2×D8C2×Dic7semidirect
400. #127C2×Dic7semidirect
410. C4×D4C2×Dic7semidirect
434. C4⋊C8C2×Dic7semidirect
441. #102C2×Dic7semidirect
442. #102C2×Dic7semidirect
687. C7#21513semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#4592
C2×#899242
C2×D8×Dic72
#117406172
#117397622
#117297912
#117295152
#117293592
#117282092
#117281962
#117279102
#117279092
#117279062
Dic7×#1022
#215137