Finite Group Databasebeta

← #34306479

Subgroups — #34306479

Order 20224.

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×#19098639C211yesmaximal, characteristic
2C2×#19098604C211yesmaximal, characteristic, complemented
3#23766350C211yesmaximal, characteristic
4C4⋊C4×C22⋊D79C211yesmaximal, characteristic
5#23764160C211yesmaximal, characteristic, complemented
6#23764155C211yesmaximal, characteristic, complemented
7#23763599C211yesmaximal, characteristic, complemented
8#23763596C211yesmaximal, characteristic, complemented
9#23763593C211yesmaximal, characteristic, complemented
10#23763591C211yesmaximal, characteristic, complemented
11#23763555C211yesmaximal, characteristic, complemented
12#23763433C211yesmaximal, characteristic, complemented
13#23763430C211yesmaximal, characteristic, complemented
14#107×Dic79C211yesmaximal, characteristic, complemented
15C2×#428×C79C211yesmaximal, characteristic, complemented
16C22×#11929607C2211yescharacteristic
17C2×C4×C22⋊D79—21no—
18C2×C4×C22⋊D79C2211yescharacteristic
19C2×#14579119C2211yescharacteristic
20C2×C4⋊C4×D79C2211yescharacteristic
21#19098639C418yescomplemented
22#19098604—24no—
23C2×#14579095C2211yescharacteristic
24C2×#14579094C2211yescharacteristic
25C2×#14579093C2211yescharacteristic
26C2×#14579092C2211yescharacteristic
27C2×#14579092C2211yescharacteristic
28C2×#14579092C2211yescharacteristic
29C2×Dic79⋊C8C2211yescharacteristic
30C2×C22⋊(C79⋊C8)C2211yescharacteristic
31C2×(C2×D79)⋊C8C2211yescharacteristic
32C2×C8×Dic79C2211yescharacteristic
33#19098463—21no—
34#19098458—21no—
35#19098454—21no—
36#19098451—21no—
37#19098436—21no—
38#19098434—21no—
39#19098432C2211yescharacteristic
40#19098432C2211yescharacteristic
41#19098423C2211yescharacteristic
42#19098423C2211yescharacteristic
43#19098420C2211yescharacteristic
44#19098420C2211yescharacteristic
45C4⋊C4×Dic79C2211yescharacteristic
46C4⋊C4×Dic79C2211yescharacteristic
47C4×Dic79⋊C4—21no—
48#19098326C2211yescharacteristic
49#19098326C2211yescharacteristic
50#19098325C2211yescharacteristic
51#19098325C2211yescharacteristic
52#19098325C2211yescharacteristic
53#19098325C2211yescharacteristic
54C22×M16×C79C2211yescharacteristic
55C2×#117×C79C2211yescharacteristic
56C22×C4⋊C4×C79C2211yescharacteristic
57#428×C79—24no—
58C2×#107×C79C2211yescharacteristic
59C2×#107×C79C2211yescharacteristic
60C2×#106×C79C2211yescharacteristic
61C2×#106×C79C2211yescharacteristic
62C22×C22⋊D79D411yescharacteristic
63C22×C4×D79—21no—
64C22×C4×D79C2311yescharacteristic
65C2×#11929607—22no—
66C2×#11929607—22no—
67C2×#11929607C2×C414yescomplemented
68C22×C79⋊C8C2311yescharacteristic
69C22×C79⋊C8C2311yescharacteristic
70C4×C22⋊D79—44no—
71C4×C22⋊D79C2×C414yes—
72C4×C22⋊D79Q814yes—
73#14579119—22no—
74#14579119—41no—
75C2×C4⋊Dic79C2311yescharacteristic
76C2×C4⋊Dic79C2311yescharacteristic
77C2×C4⋊Dic79C2311yescharacteristic
78C2×C4⋊Dic79C2311yescharacteristic
79C2×Dic79⋊C4—21no—
80C2×Dic79⋊C4—21no—
81C2×Dic79⋊C4—21no—
82C2×Dic79⋊C4—21no—
83C2×Dic79⋊C4—21no—
84C2×Dic79⋊C4D411yescharacteristic
85C4⋊C4×D79—22no—
86C4⋊C4×D79—41no—
87C2×C22⋊Dic79—21no—
88C2×C22⋊Dic79—21no—
89C2×C22⋊Dic79D411yescharacteristic
90C2×(C2×D79)⋊C4—21no—
91C2×(C2×D79)⋊C4—21no—
92C2×(C2×D79)⋊C4—21no—
93C2×(C2×D79)⋊C4D411yescharacteristic
94C2×C4×Dic79—21no—
95C2×C4×Dic79—21no—
96C2×C4×Dic79—21no—
97C2×C4×Dic79C2311yescharacteristic
98#14579095—22no—
99#14579094—22no—
100#14579093—22no—
101#14579092—22no—
102#14579092—41no—
103#14579092—41no—
104Dic79⋊C8C2×C414yescomplemented
105C22⋊(C79⋊C8)C2×C414yescomplemented
106(C2×D79)⋊C8C2×C414yescomplemented
107C8×Dic79C2×C414yescomplemented
108C79⋊#95—21no—
109C79⋊#95—21no—
110C79⋊#95—21no—
111C79⋊#95—21no—
112C79⋊#95—21no—
113C79⋊#95—21no—
114C23×C4×C79—21no—
115C23×C4×C79C2311yescharacteristic
116C2×M16×C79—22no—
117C2×M16×C79—22no—
118C2×M16×C79C2×C414yescomplemented
119C22×C8×C79C2311yescharacteristic
120C22×C8×C79C2311yescharacteristic
121#117×C79—22no—
122#117×C79—41no—
123C2×C4⋊C4×C79—22no—
124C2×C4⋊C4×C79—21no—
125C2×C4⋊C4×C79—41no—
126C2×C4⋊C4×C79C2311yescharacteristic
127C2×C4⋊C4×C79C2311yescharacteristic
128C2×C4⋊C4×C79C2311yescharacteristic
129C2×C4⋊C4×C79C2311yescharacteristic
130C2×C22⋊C4×C79—21no—
131C2×C42×C79—21no—
132#107×C79—22no—
133#107×C79D414yescomplemented
134#106×C79—22no—
135#106×C79—22no—
136C23×D79C2×D411yescharacteristic
137C2×C22⋊D79—22no—
138C2×C22⋊D79—22no—
139C2×C22⋊D79C4⋊C414yes—
140C22×Dic79—21no—
141C22×Dic79—21no—
142C22×Dic79—21no—
143C22×Dic79—21no—
144C22×Dic79C2×D411yescharacteristic
145C22×Dic79C2×D411yescharacteristic
146C22×Dic79C2×D411yescharacteristic
147C2×C4×D79—21no—
148C2×C4×D79—21no—
149C2×C4×D79—21no—
150C2×C4×D79—21no—
151C2×C4×D79—42no—
152C2×C4×D79—42no—
153C2×C4×D79—81no—
154C2×C4×D79C22×C412yes—
155C2×C4×D79C2×Q812yes—
156#11929607—28no—
157C2×C79⋊C8—21no—
158C2×C79⋊C8—21no—
159C2×C79⋊C8—21no—
160C2×C79⋊C8—21no—
161C2×C79⋊C8C22×C412yes—
162C2×C79⋊C8C22×C412yes—
163C4⋊Dic79—21no—
164C4⋊Dic79—21no—
165C4⋊Dic79—21no—
166C4⋊Dic79—21no—
167C4⋊Dic79—21no—
168C4⋊Dic79—21no—
169C4⋊Dic79—21no—
170C4⋊Dic79—21no—
171Dic79⋊C4—42no—
172Dic79⋊C4—42no—
173Dic79⋊C4—42no—
174Dic79⋊C4—81no—
175Dic79⋊C4—81no—
176Dic79⋊C4C4⋊C414yes—
177C22⋊Dic79—42no—
178C22⋊Dic79—81no—
179C22⋊Dic79C4⋊C414yes—
180(C2×D79)⋊C4—42no—
181(C2×D79)⋊C4—42no—
182(C2×D79)⋊C4—81no—
183(C2×D79)⋊C4C4⋊C414yes—
184C4×Dic79—42no—
185C4×Dic79—42no—
186C4×Dic79—42no—
187C4×Dic79C22×C412yes—
188C4×Dic79C2×Q812yes—
189C24×C79C2×D411yescharacteristic
190C22×C4×C79—21no—
191C22×C4×C79—21no—
192C22×C4×C79—21no—
193C22×C4×C79—21no—
194C22×C4×C79—21no—
195C22×C4×C79—21no—
196C22×C4×C79—21no—
197C22×C4×C79—21no—
198C22×C4×C79—42no—
199C22×C4×C79—42no—
200C22×C4×C79—81no—
201C22×C4×C79C22×C412yes—
202C22×C4×C79C2×D411yescharacteristic
203C22×C4×C79C2×Q812yes—
204C22×C4×C79C2411yescharacteristic
205M16×C79—28no—
206C2×C8×C79—21no—
207C2×C8×C79—21no—
208C2×C8×C79C22×C412yes—
209C2×C8×C79C22×C412yes—
210C2×C8×C79C2×D412yes—
211C2×C8×C79#4112yes—
212C4⋊C4×C79—21no—
213C4⋊C4×C79—21no—
214C4⋊C4×C79—21no—
215C4⋊C4×C79—21no—
216C4⋊C4×C79—21no—
217C4⋊C4×C79—21no—
218C4⋊C4×C79—42no—
219C4⋊C4×C79C2×D412yes—
220C4⋊C4×C79C2×D412yes—
221C22⋊C4×C79—42no—
222C42×C79—42no—
223C23×C79—21no—
224C23×C79—21no—
225C23×C79—21no—
226C23×C79—21no—
227C23×C79—21no—
228C23×C79—21no—
229C23×C79C2×C4⋊C412yes—
230C23×C79C22×D411yescharacteristic
231C22×D79—21no—
232C22×D79—21no—
233C22×D79—21no—
234C22×D79—21no—
235C22×D79—21no—
236C22×D79—21no—
237C22×D79C2×C4⋊C412yes—
238C2×C4×C79—21no—
239C2×C4×C79—21no—
240C2×C4×C79—22no—
241C2×C4×C79—22no—
242C2×C4×C79—22no—
243C2×C4×C79—22no—
244C2×C4×C79—22no—
245C2×C4×C79—22no—
246C2×C4×C79—41no—
247C2×C4×C79—41no—
248C2×C4×C79—41no—
249C2×C4×C79—41no—
250C2×C4×C79—41no—
251C2×C4×C79—41no—
252C2×C4×C79—41no—
253C2×C4×C79—41no—
254C2×C4×C79—41no—
255C2×C4×C79—41no—
256C2×C4×C79—84no—
257C2×C4×C79C2×C4⋊C412yes—
258C2×C4×C79C23×C411yescharacteristic
259C2×C4×C79C22×D411yescharacteristic
260C2×C4×C79C22×Q811yescharacteristic
261C2×C4×C79C2×#4111yescharacteristic
262C2×C4×C79H(5,𝔽2)11yescharacteristic
263C2×C4×C792−1+411yescharacteristic
264C22⋊D79—28no—
265C2×Dic79—21no—
266C2×Dic79—21no—
267C2×Dic79—21no—
268C2×Dic79—21no—
269C2×Dic79—41no—
270C2×Dic79—41no—
271C2×Dic79—41no—
272C2×Dic79—41no—
273C2×Dic79—41no—
274C2×Dic79—41no—
275C2×Dic79—41no—
276C2×Dic79—41no—
277C2×Dic79—41no—
278C2×Dic79—41no—
279C2×Dic79—41no—
280C2×Dic79—41no—
281C2×Dic79C2×C4⋊C412yes—
282C2×Dic79C2×C4⋊C412yes—
283C2×Dic79C2×C4⋊C412yes—
284C2×Dic79AGL(1,ℤ/8)12yes—
285C2×Dic79#13712yes—
286C4×D79—22no—
287C4×D79—22no—
288C4×D79—22no—
289C4×D79—22no—
290C4×D79—84no—
291C8×C79—22no—
292C8×C79C4×D414yescomplemented
293C79⋊C8—22no—
294C79⋊C8—22no—
295C22×C79—22no—
296C22×C79—22no—
297C22×C79—22no—
298C22×C79—41no—
299C22×C79—41no—
300C22×C79—41no—
301C22×C79—41no—
302C22×C79C22×C4⋊C411yescharacteristic
303C22×C79D4211yescharacteristic
304C22×C79#54711yescharacteristic
305C22×C79C2×AGL(1,ℤ/8)11yescharacteristic
306C22×C79C2×#13711yescharacteristic
307C22×C79#57711yescharacteristic
308C22×C79#57711yescharacteristic
309C2×D79—22no—
310C2×D79—22no—
311C2×D79—22no—
312C2×D79—41no—
313C2×D79—41no—
314C2×D79—41no—
315C2×D79—41no—
316C4×C79—22no—
317C4×C79—42no—
318C4×C79—42no—
319C4×C79—81no—
320C4×C79—81no—
321C4×C79C2×C4×D411yescharacteristic
322C4×C79#52011yescharacteristic
323C4×C79D4×Q811yescharacteristic
324C4×C79#55411yescharacteristic
325Dic79—22no—
326Dic79—22no—
327Dic79—81no—
328Dic79—81no—
329Dic79—81no—
330Dic79—81no—
331Dic79#42814yescomplemented
332#22663—791nomaximal, Sylow
333C2×C79—42no—
334C2×C79D4×C4⋊C411yescharacteristic
335C2×C79C2×#42811yescharacteristic
336C2×C79#291211yescharacteristic
337C2×C79#327211yescharacteristic
338C2×C79#327811yescharacteristic
339C2×C79#335411yescharacteristic
340C2×C79#335611yescharacteristic
341D79—42no—
342C2×#436—791no—
343C2×#428—791no—
344C2×#428D7911yescharacteristic, complemented
345#2354—791no—
346D4×C4⋊C4—791no—
347#1948—791no—
348#1947—791no—
349#1854—791no—
350#1854—791no—
351#1853—791no—
352#1853—791no—
353#1844—791no—
354#1809—791no—
355#1809—791no—
356C4×#107—791no—
357C79#2266311yescharacteristic, complemented, Sylow
358C22×M16—791no—
359C22×M16C2×D7911yescharacteristic
360C2×C4×D4—791no—
361C2×C4×D4—1581no—
362C2×#117—791no—
363C2×#117C2×D7911yescharacteristic
364C22×C4⋊C4—791no—
365C22×C4⋊C4C2×D7911yescharacteristic
366#436—798no—
367#428—24no—
368#428—1584no—
369C2×#107—791no—
370C2×#107—791no—
371C2×#107C2×D7911yescharacteristic
372C2×#107C2×D7911yescharacteristic
373C2×#106—791no—
374C2×#106—791no—
375C2×#106—791no—
376C2×#106—791no—
377C2×#106C2×D7911yescharacteristic
378C2×#106C2×D7911yescharacteristic
379C2×C4⋊C8—791no—
380C2×C22⋊C8—791no—
381C2×C22⋊C8—791no—
382C2×C4×C8—791no—
383#390—1581no—
384#389—1581no—
385#388—1581no—
386#388—1581no—
387#385—1581no—
388#385—1581no—
389#384—791no—
390#384—791no—
391#380—791no—
392#380—791no—
393#380—791no—
394#380—791no—
395C4×C4⋊C4—791no—
396C4×C4⋊C4—791no—
397C4×C4⋊C4—1581no—
398#340—791no—
399#340—791no—
400#340—791no—
401#340—791no—
402#340—791no—
403#340—791no—
404C22×D4—791no—
405C23×C4—21no—
406C23×C4—791no—
407C23×C4—1581no—
408C23×C4C22×D7911yescharacteristic
409C2×M16—22no—
410C2×M16—22no—
411C2×M16—794no—
412C2×M16—1582no—
413C2×M16—1582no—
414C2×M16C4×D7914yescomplemented
415C22×C8—791no—
416C22×C8—791no—
417C22×C8C22×D7911yescharacteristic
418C22×C8C22×D7911yescharacteristic
419C4×D4—3164no—
420C4×D4—794no—
421C4×D4—794no—
422#117—22no—
423#117—41no—
424#117—3161no—
425#117—1582no—
426C2×C4⋊C4—22no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—41no—
429C2×C4⋊C4—3161no—
430C2×C4⋊C4—791no—
431C2×C4⋊C4—791no—
432C2×C4⋊C4—791no—
433C2×C4⋊C4—791no—
434C2×C4⋊C4—791no—
435C2×C4⋊C4—1581no—
436C2×C4⋊C4—1581no—
437C2×C4⋊C4—1581no—
438C2×C4⋊C4—1582no—
439C2×C4⋊C4—1581no—
440C2×C4⋊C4—1581no—
441C2×C4⋊C4C22×D7911yescharacteristic
442C2×C4⋊C4C22×D7911yescharacteristic
443C2×C4⋊C4C22×D7911yescharacteristic
444C2×C4⋊C4C22×D7911yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—791no—
447C2×C22⋊C4—791no—
448C2×C22⋊C4—1581no—
449C2×C22⋊C4—1581no—
450C2×C22⋊C4—1581no—
451C2×C22⋊C4—1581no—
452C2×C22⋊C4—1581no—
453C2×C42—21no—
454C2×C42—791no—
455C2×C42—1581no—
456C2×C42—1581no—
457C2×C42—1581no—
458#107—22no—
459#107—1582no—
460#107—1582no—
461#107C22⋊D7914yescomplemented
462#106—22no—
463#106—22no—
464#106—3161no—
465#106—3161no—
466#106—1582no—
467#106—1582no—
468C4⋊C8—794no—
469C22⋊C8—794no—
470C22⋊C8—794no—
471C4×C8—794no—
472#95—1581no—
473#95—1581no—
474#95—1581no—
475#95—1581no—
476#95—1581no—
477#95—1581no—
478C24—791no—
479C24D4×D7911yescharacteristic
480C2×D4—794no—
481C2×D4—1582no—
482C2×D4—1582no—
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—3162no—
495C22×C4—3162no—
496C22×C4—791no—
497C22×C4—791no—
498C22×C4—791no—
499C22×C4—792no—
500C22×C4—792no—
501C22×C4—6321no—
502C22×C4—1581no—
503C22×C4—1581no—
504C22×C4—1581no—
505C22×C4—1581no—
506C22×C4—1581no—
507C22×C4—1581no—
508C22×C4—1581no—
509C22×C4—1581no—
510C22×C4C2×C4×D7912yes—
511C22×C4D4×D7911yescharacteristic
512C22×C4Q8×D7912yes—
513C22×C4C23×D7911yescharacteristic
514M16—28no—
515M16—1588no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—792no—
519C2×C8—792no—
520C2×C8—1581no—
521C2×C8—1581no—
522C2×C8—1581no—
523C2×C8—1581no—
524C2×C8C2×C4×D7912yes—
525C2×C8C2×C4×D7912yes—
526C2×C8C2×C22⋊D7912yes—
527C2×C8#1192962412yes—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—42no—
535C4⋊C4—3162no—
536C4⋊C4—3162no—
537C4⋊C4—3162no—
538C4⋊C4—794no—
539C4⋊C4—6321no—
540C4⋊C4—6321no—
541C4⋊C4—1581no—
542C4⋊C4—1581no—
543C4⋊C4—1581no—
544C4⋊C4—1581no—
545C4⋊C4—1581no—
546C4⋊C4—1581no—
547C4⋊C4—1581no—
548C4⋊C4—1581no—
549C4⋊C4C2×C22⋊D7912yes—
550C4⋊C4C2×C22⋊D7912yes—
551C22⋊C4—42no—
552C22⋊C4—3162no—
553C22⋊C4—3162no—
554C22⋊C4—3162no—
555C22⋊C4—794no—
556C22⋊C4—794no—
557C22⋊C4—6321no—
558C22⋊C4—6321no—
559C42—42no—
560C42—3162no—
561C42—3162no—
562C42—3162no—
563C42—792no—
564C42—792no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—792no—
572C23—1581no—
573C23—1581no—
574C23—1581no—
575C23—1581no—
576C23—1581no—
577C23—1581no—
578C23C4⋊C4×D7912yes—
579C23C2×D4×D7911yescharacteristic
580D4—1588no—
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—3161no—
601C2×C4—3161no—
602C2×C4—3161no—
603C2×C4—3161no—
604C2×C4—3161no—
605C2×C4—3161no—
606C2×C4—3161no—
607C2×C4—3161no—
608C2×C4—3161no—
609C2×C4—3161no—
610C2×C4—3161no—
611C2×C4—3161no—
612C2×C4—792no—
613C2×C4—792no—
614C2×C4—792no—
615C2×C4—792no—
616C2×C4—792no—
617C2×C4—6324no—
618C2×C4—1581no—
619C2×C4—1581no—
620C2×C4—1581no—
621C2×C4—1581no—
622C2×C4—1582no—
623C2×C4—1582no—
624C2×C4—1582no—
625C2×C4—1582no—
626C2×C4C4⋊C4×D7912yes—
627C2×C4C22×C4×D7911yescharacteristic
628C2×C4C22×C22⋊D7911yescharacteristic
629C2×C4C2×Q8×D7911yescharacteristic
630C2×C4C2×#1192962411yescharacteristic
631C2×C4#1457920611yescharacteristic
632C2×C4#1457920911yescharacteristic
633C8—22no—
634C8—1582no—
635C8—1582no—
636C8C4×C22⋊D7914yescomplemented
637C22—22no—
638C22—22no—
639C22—22no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—3161no—
645C22—3161no—
646C22—3161no—
647C22—3161no—
648C22—1582no—
649C22—1582no—
650C22—1582no—
651C22C2×C4⋊C4×D7911yescharacteristic
652C22D4×C22⋊D7911yescharacteristic
653C22#1909921411yescharacteristic
654C22AGL(1,ℤ/8)×D7911yescharacteristic
655C22#137×D7911yescharacteristic
656C22#1909937211yescharacteristic
657C22#1909937311yescharacteristic
658C4—22no—
659C4—42no—
660C4—42no—
661C4—81no—
662C4—81no—
663C4—794no—
664C4—6321no—
665C4—6321no—
666C4—6321no—
667C4—6321no—
668C4—1582no—
669C4—1582no—
670C4C2×C4×C22⋊D7911yescharacteristic
671C4#1909904411yescharacteristic
672C4Q8×C22⋊D7911yescharacteristic
673C4#1909926811yescharacteristic
674C2—42no—
675C2—3162no—
676C2C4⋊C4×C22⋊D7911yescharacteristic
677C2#428×D7911yescharacteristic
678C2#2377199411yescharacteristic
679C2#2377499411yescharacteristic
680C2#2377506011yescharacteristic
681C2#2377599111yescharacteristic
682C2#2377601111yescharacteristic
subgroupG/H
centerC23C2×D4×D79
commutatorC2×C4×C79C23×C4
FrattiniC22×C4C23×D79
FittingC2×#428×C79C2
socleC23×C79C22×D4
prime radicalC22×C22⋊D79D4
cosocleC22×C4×C79C24
hypercenterC2×#428D79
hypocenterC79#22663
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
2. C2×#19098604C2semidirect
5. #23764160C2semidirect
6. #23764155C2semidirect
7. #23763599C2semidirect
8. #23763596C2semidirect
9. #23763593C2semidirect
10. #23763591C2semidirect
11. #23763555C2semidirect
12. #23763433C2semidirect
13. #23763430C2semidirect
14. #107×Dic79C2semidirect
15. C2×#428×C79C2semidirect
21. #19098639C4semidirect
67. C2×#11929607C2×C4semidirect
104. Dic79⋊C8C2×C4semidirect
105. C22⋊(C79⋊C8)C2×C4semidirect
106. (C2×D79)⋊C8C2×C4semidirect
107. C8×Dic79C2×C4semidirect
118. C2×M16×C79C2×C4semidirect
133. #107×C79D4semidirect
292. C8×C79C4×D4semidirect
331. Dic79#428semidirect
344. C2×#428D79semidirect
357. C79#22663semidirect
414. C2×M16C4×D79semidirect
461. #107C22⋊D79semidirect
636. C8C4×C22⋊D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190986392
C2×#190986042
#237663502
C4⋊C4×C22⋊D792
#237641602
#237641552
#237635992
#237635962
#237635932
#237635912
#237635552
#237634332
#237634302
#107×Dic792
C2×#428×C792
#2266379