Finite Group Databasebeta

← #32015682

Subgroups — #32015682

Order 18176.

1022 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986075C211yesmaximal, characteristic
2C2×#17986038C211yesmaximal, characteristic, complemented
3#22591290C211yesmaximal, characteristic
4C4⋊C4×C22⋊D71C211yesmaximal, characteristic
5#22589100C211yesmaximal, characteristic, complemented
6#22589095C211yesmaximal, characteristic, complemented
7#22588539C211yesmaximal, characteristic, complemented
8#22588538C211yesmaximal, characteristic, complemented
9#22588528C211yesmaximal, characteristic, complemented
10#22588526C211yesmaximal, characteristic, complemented
11#22588498C211yesmaximal, characteristic, complemented
12#22588374C211yesmaximal, characteristic, complemented
13#22588373C211yesmaximal, characteristic, complemented
14#106×Dic71C211yesmaximal, characteristic, complemented
15C2×#428×C71C211yesmaximal, characteristic, complemented
16C22×#11765848C2211yescharacteristic
17C2×C4×C22⋊D71—21no—
18C2×C4×C22⋊D71C2211yescharacteristic
19C2×#14556086C2211yescharacteristic
20C2×C4⋊C4×D71C2211yescharacteristic
21#17986075C418yescomplemented
22#17986038—24no—
23C2×#14556062C2211yescharacteristic
24C2×#14556061C2211yescharacteristic
25C2×#14556061C2211yescharacteristic
26C2×#14556061C2211yescharacteristic
27C2×#14556060C2211yescharacteristic
28C2×#14556059C2211yescharacteristic
29C2×Dic71⋊C8C2211yescharacteristic
30C2×C22⋊(C71⋊C8)C2211yescharacteristic
31C2×(C2×D71)⋊C8C2211yescharacteristic
32C2×C8×Dic71C2211yescharacteristic
33#17985899—21no—
34#17985894—21no—
35#17985890—21no—
36#17985887—21no—
37#17985872—21no—
38#17985870—21no—
39#17985868C2211yescharacteristic
40#17985868C2211yescharacteristic
41#17985859C2211yescharacteristic
42#17985859C2211yescharacteristic
43#17985856C2211yescharacteristic
44#17985856C2211yescharacteristic
45C4⋊C4×Dic71C2211yescharacteristic
46C4⋊C4×Dic71C2211yescharacteristic
47C4×Dic71⋊C4—21no—
48#17985762C2211yescharacteristic
49#17985762C2211yescharacteristic
50#17985761C2211yescharacteristic
51#17985761C2211yescharacteristic
52#17985761C2211yescharacteristic
53#17985761C2211yescharacteristic
54C22×M16×C71C2211yescharacteristic
55C2×#117×C71C2211yescharacteristic
56C22×C4⋊C4×C71C2211yescharacteristic
57#428×C71—24no—
58C2×#107×C71C2211yescharacteristic
59C2×#107×C71C2211yescharacteristic
60C2×#106×C71C2211yescharacteristic
61C2×#106×C71C2211yescharacteristic
62C22×C22⋊D71D411yescharacteristic
63C22×C4×D71—21no—
64C22×C4×D71C2311yescharacteristic
65C2×#11765848—22no—
66C2×#11765848—22no—
67C2×#11765848C2×C414yescomplemented
68C22×C71⋊C8C2311yescharacteristic
69C22×C71⋊C8C2311yescharacteristic
70C4×C22⋊D71—44no—
71C4×C22⋊D71C2×C414yes—
72C4×C22⋊D71Q814yes—
73#14556086—22no—
74#14556086—41no—
75C2×C4⋊Dic71C2311yescharacteristic
76C2×C4⋊Dic71C2311yescharacteristic
77C2×C4⋊Dic71C2311yescharacteristic
78C2×C4⋊Dic71C2311yescharacteristic
79C2×Dic71⋊C4—21no—
80C2×Dic71⋊C4—21no—
81C2×Dic71⋊C4—21no—
82C2×Dic71⋊C4—21no—
83C2×Dic71⋊C4—21no—
84C2×Dic71⋊C4D411yescharacteristic
85C4⋊C4×D71—22no—
86C4⋊C4×D71—41no—
87C2×C22⋊Dic71—21no—
88C2×C22⋊Dic71—21no—
89C2×C22⋊Dic71D411yescharacteristic
90C2×(C2×D71)⋊C4—21no—
91C2×(C2×D71)⋊C4—21no—
92C2×(C2×D71)⋊C4—21no—
93C2×(C2×D71)⋊C4D411yescharacteristic
94C2×C4×Dic71—21no—
95C2×C4×Dic71—21no—
96C2×C4×Dic71—21no—
97C2×C4×Dic71C2311yescharacteristic
98#14556062—22no—
99#14556061—22no—
100#14556061—41no—
101#14556061—41no—
102#14556060—22no—
103#14556059—22no—
104Dic71⋊C8C2×C414yescomplemented
105C22⋊(C71⋊C8)C2×C414yescomplemented
106(C2×D71)⋊C8C2×C414yescomplemented
107C8×Dic71C2×C414yescomplemented
108C71⋊#95—21no—
109C71⋊#95—21no—
110C71⋊#95—21no—
111C71⋊#95—21no—
112C71⋊#95—21no—
113C71⋊#95—21no—
114C23×C4×C71—21no—
115C23×C4×C71C2311yescharacteristic
116C2×M16×C71—22no—
117C2×M16×C71—22no—
118C2×M16×C71C2×C414yescomplemented
119C22×C8×C71C2311yescharacteristic
120C22×C8×C71C2311yescharacteristic
121#117×C71—22no—
122#117×C71—41no—
123C2×C4⋊C4×C71—22no—
124C2×C4⋊C4×C71—21no—
125C2×C4⋊C4×C71—41no—
126C2×C4⋊C4×C71C2311yescharacteristic
127C2×C4⋊C4×C71C2311yescharacteristic
128C2×C4⋊C4×C71C2311yescharacteristic
129C2×C4⋊C4×C71C2311yescharacteristic
130C2×C22⋊C4×C71—21no—
131C2×C42×C71—21no—
132#107×C71—22no—
133#107×C71—22no—
134#106×C71—22no—
135#106×C71D414yescomplemented
136C23×D71C2×D411yescharacteristic
137C2×C22⋊D71—22no—
138C2×C22⋊D71—22no—
139C2×C22⋊D71C4⋊C414yes—
140C22×Dic71—21no—
141C22×Dic71—21no—
142C22×Dic71—21no—
143C22×Dic71—21no—
144C22×Dic71C2×D411yescharacteristic
145C22×Dic71C2×D411yescharacteristic
146C22×Dic71C2×D411yescharacteristic
147C2×C4×D71—21no—
148C2×C4×D71—21no—
149C2×C4×D71—21no—
150C2×C4×D71—21no—
151C2×C4×D71—42no—
152C2×C4×D71—42no—
153C2×C4×D71—81no—
154C2×C4×D71C22×C412yes—
155C2×C4×D71C2×Q812yes—
156#11765848—28no—
157C2×C71⋊C8—21no—
158C2×C71⋊C8—21no—
159C2×C71⋊C8—21no—
160C2×C71⋊C8—21no—
161C2×C71⋊C8C22×C412yes—
162C2×C71⋊C8C22×C412yes—
163C4⋊Dic71—21no—
164C4⋊Dic71—21no—
165C4⋊Dic71—21no—
166C4⋊Dic71—21no—
167C4⋊Dic71—21no—
168C4⋊Dic71—21no—
169C4⋊Dic71—21no—
170C4⋊Dic71—21no—
171Dic71⋊C4—42no—
172Dic71⋊C4—42no—
173Dic71⋊C4—42no—
174Dic71⋊C4—81no—
175Dic71⋊C4—81no—
176Dic71⋊C4C4⋊C414yes—
177C22⋊Dic71—42no—
178C22⋊Dic71—81no—
179C22⋊Dic71C4⋊C414yes—
180(C2×D71)⋊C4—42no—
181(C2×D71)⋊C4—42no—
182(C2×D71)⋊C4—81no—
183(C2×D71)⋊C4C4⋊C414yes—
184C4×Dic71—42no—
185C4×Dic71—42no—
186C4×Dic71—42no—
187C4×Dic71C22×C412yes—
188C4×Dic71C2×Q812yes—
189C24×C71C2×D411yescharacteristic
190C22×C4×C71—21no—
191C22×C4×C71—21no—
192C22×C4×C71—21no—
193C22×C4×C71—21no—
194C22×C4×C71—21no—
195C22×C4×C71—21no—
196C22×C4×C71—21no—
197C22×C4×C71—21no—
198C22×C4×C71—42no—
199C22×C4×C71—42no—
200C22×C4×C71—81no—
201C22×C4×C71C22×C412yes—
202C22×C4×C71C2×D411yescharacteristic
203C22×C4×C71C2×Q812yes—
204C22×C4×C71C2411yescharacteristic
205M16×C71—28no—
206C2×C8×C71—21no—
207C2×C8×C71—21no—
208C2×C8×C71C22×C412yes—
209C2×C8×C71C22×C412yes—
210C2×C8×C71C2×D412yes—
211C2×C8×C71#4112yes—
212C4⋊C4×C71—21no—
213C4⋊C4×C71—21no—
214C4⋊C4×C71—21no—
215C4⋊C4×C71—21no—
216C4⋊C4×C71—21no—
217C4⋊C4×C71—21no—
218C4⋊C4×C71—42no—
219C4⋊C4×C71C2×D412yes—
220C4⋊C4×C71C2×D412yes—
221C22⋊C4×C71—42no—
222C42×C71—42no—
223C23×C71—21no—
224C23×C71—21no—
225C23×C71—21no—
226C23×C71—21no—
227C23×C71—21no—
228C23×C71—21no—
229C23×C71C2×C4⋊C412yes—
230C23×C71C22×D411yescharacteristic
231C22×D71—21no—
232C22×D71—21no—
233C22×D71—21no—
234C22×D71—21no—
235C22×D71—21no—
236C22×D71—21no—
237C22×D71C2×C4⋊C412yes—
238C2×C4×C71—21no—
239C2×C4×C71—21no—
240C2×C4×C71—22no—
241C2×C4×C71—22no—
242C2×C4×C71—22no—
243C2×C4×C71—22no—
244C2×C4×C71—22no—
245C2×C4×C71—22no—
246C2×C4×C71—41no—
247C2×C4×C71—41no—
248C2×C4×C71—41no—
249C2×C4×C71—41no—
250C2×C4×C71—41no—
251C2×C4×C71—41no—
252C2×C4×C71—41no—
253C2×C4×C71—41no—
254C2×C4×C71—41no—
255C2×C4×C71—41no—
256C2×C4×C71—84no—
257C2×C4×C71C2×C4⋊C412yes—
258C2×C4×C71C23×C411yescharacteristic
259C2×C4×C71C22×D411yescharacteristic
260C2×C4×C71C22×Q811yescharacteristic
261C2×C4×C71C2×#4111yescharacteristic
262C2×C4×C71H(5,𝔽2)11yescharacteristic
263C2×C4×C712−1+411yescharacteristic
264C22⋊D71—28no—
265C2×Dic71—21no—
266C2×Dic71—21no—
267C2×Dic71—21no—
268C2×Dic71—21no—
269C2×Dic71—41no—
270C2×Dic71—41no—
271C2×Dic71—41no—
272C2×Dic71—41no—
273C2×Dic71—41no—
274C2×Dic71—41no—
275C2×Dic71—41no—
276C2×Dic71—41no—
277C2×Dic71—41no—
278C2×Dic71—41no—
279C2×Dic71—41no—
280C2×Dic71—41no—
281C2×Dic71C2×C4⋊C412yes—
282C2×Dic71C2×C4⋊C412yes—
283C2×Dic71C2×C4⋊C412yes—
284C2×Dic71AGL(1,ℤ/8)12yes—
285C2×Dic71#13712yes—
286C4×D71—22no—
287C4×D71—22no—
288C4×D71—22no—
289C4×D71—22no—
290C4×D71—84no—
291C8×C71—22no—
292C8×C71C4×D414yescomplemented
293C71⋊C8—22no—
294C71⋊C8—22no—
295C22×C71—22no—
296C22×C71—22no—
297C22×C71—22no—
298C22×C71—41no—
299C22×C71—41no—
300C22×C71—41no—
301C22×C71—41no—
302C22×C71C22×C4⋊C411yescharacteristic
303C22×C71D4211yescharacteristic
304C22×C71#54711yescharacteristic
305C22×C71C2×AGL(1,ℤ/8)11yescharacteristic
306C22×C71C2×#13711yescharacteristic
307C22×C71#57611yescharacteristic
308C22×C71#57811yescharacteristic
309C2×D71—22no—
310C2×D71—22no—
311C2×D71—22no—
312C2×D71—41no—
313C2×D71—41no—
314C2×D71—41no—
315C2×D71—41no—
316C4×C71—22no—
317C4×C71—42no—
318C4×C71—42no—
319C4×C71—81no—
320C4×C71—81no—
321C4×C71C2×C4×D411yescharacteristic
322C4×C71#52011yescharacteristic
323C4×C71D4×Q811yescharacteristic
324C4×C71#55411yescharacteristic
325Dic71—22no—
326Dic71—22no—
327Dic71—81no—
328Dic71—81no—
329Dic71—81no—
330Dic71—81no—
331Dic71#42814yescomplemented
332#22665—711nomaximal, Sylow
333C2×C71—42no—
334C2×C71D4×C4⋊C411yescharacteristic
335C2×C71C2×#42811yescharacteristic
336C2×C71#291311yescharacteristic
337C2×C71#327411yescharacteristic
338C2×C71#327611yescharacteristic
339C2×C71#335311yescharacteristic
340C2×C71#335711yescharacteristic
341D71—42no—
342C2×#436—711no—
343C2×#428—711no—
344C2×#428D7111yescharacteristic, complemented
345#2354—711no—
346D4×C4⋊C4—711no—
347#1948—711no—
348#1947—711no—
349#1854—711no—
350#1854—711no—
351#1852—711no—
352#1852—711no—
353#1845—711no—
354#1809—711no—
355#1809—711no—
356C4×#106—711no—
357C71#2266511yescharacteristic, complemented, Sylow
358C22×M16—711no—
359C22×M16C2×D7111yescharacteristic
360C2×C4×D4—711no—
361C2×C4×D4—1421no—
362C2×#117—711no—
363C2×#117C2×D7111yescharacteristic
364C22×C4⋊C4—711no—
365C22×C4⋊C4C2×D7111yescharacteristic
366#436—718no—
367#428—24no—
368#428—1424no—
369C2×#107—711no—
370C2×#107—711no—
371C2×#107—711no—
372C2×#107—711no—
373C2×#107C2×D7111yescharacteristic
374C2×#107C2×D7111yescharacteristic
375C2×#106—711no—
376C2×#106—711no—
377C2×#106C2×D7111yescharacteristic
378C2×#106C2×D7111yescharacteristic
379C2×C4⋊C8—711no—
380C2×C22⋊C8—711no—
381C2×C22⋊C8—711no—
382C2×C4×C8—711no—
383#390—1421no—
384#389—1421no—
385#388—1421no—
386#388—1421no—
387#385—1421no—
388#385—1421no—
389#384—711no—
390#384—711no—
391#380—711no—
392#380—711no—
393#380—711no—
394#380—711no—
395C4×C4⋊C4—711no—
396C4×C4⋊C4—711no—
397C4×C4⋊C4—1421no—
398#340—711no—
399#340—711no—
400#340—711no—
401#340—711no—
402#340—711no—
403#340—711no—
404C22×D4—711no—
405C23×C4—21no—
406C23×C4—711no—
407C23×C4—1421no—
408C23×C4C22×D7111yescharacteristic
409C2×M16—22no—
410C2×M16—22no—
411C2×M16—714no—
412C2×M16—1422no—
413C2×M16—1422no—
414C2×M16C4×D7114yescomplemented
415C22×C8—711no—
416C22×C8—711no—
417C22×C8C22×D7111yescharacteristic
418C22×C8C22×D7111yescharacteristic
419C4×D4—2844no—
420C4×D4—714no—
421C4×D4—714no—
422#117—22no—
423#117—41no—
424#117—2841no—
425#117—1422no—
426C2×C4⋊C4—22no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—41no—
429C2×C4⋊C4—2841no—
430C2×C4⋊C4—711no—
431C2×C4⋊C4—711no—
432C2×C4⋊C4—711no—
433C2×C4⋊C4—711no—
434C2×C4⋊C4—711no—
435C2×C4⋊C4—1421no—
436C2×C4⋊C4—1421no—
437C2×C4⋊C4—1421no—
438C2×C4⋊C4—1422no—
439C2×C4⋊C4—1421no—
440C2×C4⋊C4—1421no—
441C2×C4⋊C4C22×D7111yescharacteristic
442C2×C4⋊C4C22×D7111yescharacteristic
443C2×C4⋊C4C22×D7111yescharacteristic
444C2×C4⋊C4C22×D7111yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—711no—
447C2×C22⋊C4—711no—
448C2×C22⋊C4—1421no—
449C2×C22⋊C4—1421no—
450C2×C22⋊C4—1421no—
451C2×C22⋊C4—1421no—
452C2×C22⋊C4—1421no—
453C2×C42—21no—
454C2×C42—711no—
455C2×C42—1421no—
456C2×C42—1421no—
457C2×C42—1421no—
458#107—22no—
459#107—22no—
460#107—2841no—
461#107—2841no—
462#107—1422no—
463#107—1422no—
464#106—22no—
465#106—1422no—
466#106—1422no—
467#106C22⋊D7114yescomplemented
468C4⋊C8—714no—
469C22⋊C8—714no—
470C22⋊C8—714no—
471C4×C8—714no—
472#95—1421no—
473#95—1421no—
474#95—1421no—
475#95—1421no—
476#95—1421no—
477#95—1421no—
478C24—711no—
479C24D4×D7111yescharacteristic
480C2×D4—714no—
481C2×D4—1422no—
482C2×D4—1422no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—81no—
494C22×C4—2842no—
495C22×C4—2842no—
496C22×C4—5681no—
497C22×C4—711no—
498C22×C4—711no—
499C22×C4—711no—
500C22×C4—712no—
501C22×C4—712no—
502C22×C4—1421no—
503C22×C4—1421no—
504C22×C4—1421no—
505C22×C4—1421no—
506C22×C4—1421no—
507C22×C4—1421no—
508C22×C4—1421no—
509C22×C4—1421no—
510C22×C4C2×C4×D7112yes—
511C22×C4D4×D7111yescharacteristic
512C22×C4Q8×D7112yes—
513C22×C4C23×D7111yescharacteristic
514M16—28no—
515M16—1428no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—712no—
519C2×C8—712no—
520C2×C8—1421no—
521C2×C8—1421no—
522C2×C8—1421no—
523C2×C8—1421no—
524C2×C8C2×C4×D7112yes—
525C2×C8C2×C4×D7112yes—
526C2×C8C2×C22⋊D7112yes—
527C2×C8#1176586512yes—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—42no—
535C4⋊C4—2842no—
536C4⋊C4—2842no—
537C4⋊C4—2842no—
538C4⋊C4—5681no—
539C4⋊C4—5681no—
540C4⋊C4—714no—
541C4⋊C4—1421no—
542C4⋊C4—1421no—
543C4⋊C4—1421no—
544C4⋊C4—1421no—
545C4⋊C4—1421no—
546C4⋊C4—1421no—
547C4⋊C4—1421no—
548C4⋊C4—1421no—
549C4⋊C4C2×C22⋊D7112yes—
550C4⋊C4C2×C22⋊D7112yes—
551C22⋊C4—42no—
552C22⋊C4—2842no—
553C22⋊C4—2842no—
554C22⋊C4—2842no—
555C22⋊C4—5681no—
556C22⋊C4—5681no—
557C22⋊C4—714no—
558C22⋊C4—714no—
559C42—42no—
560C42—2842no—
561C42—2842no—
562C42—2842no—
563C42—712no—
564C42—712no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—712no—
572C23—1421no—
573C23—1421no—
574C23—1421no—
575C23—1421no—
576C23—1421no—
577C23—1421no—
578C23C4⋊C4×D7112yes—
579C23C2×D4×D7111yescharacteristic
580D4—1428no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—84no—
600C2×C4—2841no—
601C2×C4—2841no—
602C2×C4—2841no—
603C2×C4—2841no—
604C2×C4—2841no—
605C2×C4—2841no—
606C2×C4—2841no—
607C2×C4—2841no—
608C2×C4—2841no—
609C2×C4—2841no—
610C2×C4—2841no—
611C2×C4—2841no—
612C2×C4—5684no—
613C2×C4—712no—
614C2×C4—712no—
615C2×C4—712no—
616C2×C4—712no—
617C2×C4—712no—
618C2×C4—1421no—
619C2×C4—1421no—
620C2×C4—1421no—
621C2×C4—1421no—
622C2×C4—1422no—
623C2×C4—1422no—
624C2×C4—1422no—
625C2×C4—1422no—
626C2×C4C4⋊C4×D7112yes—
627C2×C4C22×C4×D7111yescharacteristic
628C2×C4C22×C22⋊D7111yescharacteristic
629C2×C4C2×Q8×D7111yescharacteristic
630C2×C4C2×#1176586511yescharacteristic
631C2×C4#1455617311yescharacteristic
632C2×C4#1455617611yescharacteristic
633C8—22no—
634C8—1422no—
635C8—1422no—
636C8C4×C22⋊D7114yescomplemented
637C22—22no—
638C22—22no—
639C22—22no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—2841no—
645C22—2841no—
646C22—2841no—
647C22—2841no—
648C22—1422no—
649C22—1422no—
650C22—1422no—
651C22C2×C4⋊C4×D7111yescharacteristic
652C22D4×C22⋊D7111yescharacteristic
653C22#1798665011yescharacteristic
654C22AGL(1,ℤ/8)×D7111yescharacteristic
655C22#137×D7111yescharacteristic
656C22#1798680311yescharacteristic
657C22#1798681511yescharacteristic
658C4—22no—
659C4—42no—
660C4—42no—
661C4—81no—
662C4—81no—
663C4—5681no—
664C4—5681no—
665C4—5681no—
666C4—5681no—
667C4—714no—
668C4—1422no—
669C4—1422no—
670C4C2×C4×C22⋊D7111yescharacteristic
671C4#1798648011yescharacteristic
672C4Q8×C22⋊D7111yescharacteristic
673C4#1798670411yescharacteristic
674C2—42no—
675C2—2842no—
676C2C4⋊C4×C22⋊D7111yescharacteristic
677C2#428×D7111yescharacteristic
678C2#2259693911yescharacteristic
679C2#2259995411yescharacteristic
680C2#2259998011yescharacteristic
681C2#2260092011yescharacteristic
682C2#2260096211yescharacteristic
subgroupG/H
centerC23C2×D4×D71
commutatorC2×C4×C71C23×C4
FrattiniC22×C4C23×D71
FittingC2×#428×C71C2
socleC23×C71C22×D4
prime radicalC22×C22⋊D71D4
cosocleC22×C4×C71C24
hypercenterC2×#428D71
hypocenterC71#22665
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
2. C2×#17986038C2semidirect
5. #22589100C2semidirect
6. #22589095C2semidirect
7. #22588539C2semidirect
8. #22588538C2semidirect
9. #22588528C2semidirect
10. #22588526C2semidirect
11. #22588498C2semidirect
12. #22588374C2semidirect
13. #22588373C2semidirect
14. #106×Dic71C2semidirect
15. C2×#428×C71C2semidirect
21. #17986075C4semidirect
67. C2×#11765848C2×C4semidirect
104. Dic71⋊C8C2×C4semidirect
105. C22⋊(C71⋊C8)C2×C4semidirect
106. (C2×D71)⋊C8C2×C4semidirect
107. C8×Dic71C2×C4semidirect
118. C2×M16×C71C2×C4semidirect
135. #106×C71D4semidirect
292. C8×C71C4×D4semidirect
331. Dic71#428semidirect
344. C2×#428D71semidirect
357. C71#22665semidirect
414. C2×M16C4×D71semidirect
467. #106C22⋊D71semidirect
636. C8C4×C22⋊D71semidirect

Maximal subgroups

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

subgroupindex
C2×#179860752
C2×#179860382
#225912902
C4⋊C4×C22⋊D712
#225891002
#225890952
#225885392
#225885382
#225885282
#225885262
#225884982
#225883742
#225883732
#106×Dic712
C2×#428×C712
#2266571