Finite Group Databasebeta

← C4×#19098880 #34295396

Subgroups — C4×#19098880 #34295396

Order 20224.

1060 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19098880C211yesmaximal, characteristic
2C4×#14579132C211yesmaximal, characteristic
3C4×C4⋊C4×D79C211yesmaximal, characteristic, complemented
4#23764030C211yesmaximal, characteristic, complemented
5#23764029C211yesmaximal, characteristic, complemented
6#23763977C211yesmaximal, characteristic, complemented
7#23763976C211yesmaximal, characteristic, complemented
8#23763714C211yesmaximal, characteristic
9#23763594C211yesmaximal, characteristic, complemented
10#23763489C211yesmaximal, characteristic, complemented
11C4×#14579092C211yesmaximal, characteristic, complemented
12C4×#14579093C211yesmaximal, characteristic, complemented
13C4×#14579082C211yesmaximal, characteristic, complemented
14C4×(C2×D79)⋊C8C211yesmaximal, characteristic, complemented
15C4×#102×C79C211yesmaximal, characteristic, complemented
16C2×#14579132C2211yescharacteristic
17C2×C4×C22⋊D79—21no—
18C2×C4⋊C4×D79C2211yescharacteristic
19C2×C4⋊C4×D79C2211yescharacteristic
20C2×C42×D79—21no—
21C2×C42×D79C2211yescharacteristic
22#19098880C418yesdirect product factor
23C2×#14579093C2211yescharacteristic
24C2×#14579093C2211yescharacteristic
25C2×#14579092C2211yescharacteristic
26C2×#14579092C2211yescharacteristic
27C2×#14579082C2211yescharacteristic
28C2×#14579082C2211yescharacteristic
29C2×(C2×D79)⋊C8C2211yescharacteristic
30C2×(C2×D79)⋊C8C2211yescharacteristic
31C2×C4×C79⋊C8C2211yescharacteristic
32#19098466C2211yescharacteristic
33#19098459C2211yescharacteristic
34#19098451—21no—
35#19098439—21no—
36#19098420C2211yescharacteristic
37C4⋊C4×Dic79C2211yescharacteristic
38C4⋊C4×Dic79C2211yescharacteristic
39C4×Dic79⋊C4—21no—
40C4×C4⋊Dic79C2211yescharacteristic
41C4×C4⋊Dic79C2211yescharacteristic
42#19098414—21no—
43C4×C22⋊Dic79—21no—
44#95×D79—21no—
45#19098326C2211yescharacteristic
46#19098326C2211yescharacteristic
47#19098325C2211yescharacteristic
48#19098325C2211yescharacteristic
49#19098325C2211yescharacteristic
50#19098325C2211yescharacteristic
51#19098317C2211yescharacteristic
52#19098317C2211yescharacteristic
53C2×C4×D4×C79C2211yescharacteristic
54C2×#102×C79C2211yescharacteristic
55C2×#102×C79C2211yescharacteristic
56C2×C4×C8×C79C2211yescharacteristic
57C4×C4⋊C4×C79C2211yescharacteristic
58#340×C79C2211yescharacteristic
59#340×C79C2211yescharacteristic
60C22×C22⋊D79—21no—
61C22×C4×D79—21no—
62C22×C4×D79—21no—
63C22×C4×D79D411yescharacteristic
64C22×C4×D79D411yescharacteristic
65C22×C4×D79C2311yescharacteristic
66C22×C79⋊C8C2311yescharacteristic
67C22×C79⋊C8C2311yescharacteristic
68#14579132—22no—
69#14579132C2×C414yes—
70C4×C22⋊D79—44no—
71C2×C4⋊Dic79C2311yescharacteristic
72C2×C4⋊Dic79C2311yescharacteristic
73C2×C4⋊Dic79C2311yescharacteristic
74C2×C4⋊Dic79C2311yescharacteristic
75C2×Dic79⋊C4—21no—
76C2×Dic79⋊C4—21no—
77C2×Dic79⋊C4—21no—
78C4⋊C4×D79—22no—
79C4⋊C4×D79—22no—
80C4⋊C4×D79—22no—
81C4⋊C4×D79C2×C414yescomplemented
82C2×C22⋊Dic79—21no—
83C2×C22⋊Dic79—21no—
84C2×C22⋊Dic79—21no—
85C2×(C2×D79)⋊C4—21no—
86C2×C4×Dic79—21no—
87C2×C4×Dic79—21no—
88C2×C4×Dic79—21no—
89C2×C4×Dic79—21no—
90C2×C4×Dic79D411yescharacteristic
91C2×C4×Dic79D411yescharacteristic
92C2×C4×Dic79C2311yescharacteristic
93C42×D79—22no—
94C42×D79—22no—
95C42×D79—44no—
96#14579093—22no—
97#14579093C2×C414yescomplemented
98#14579092—22no—
99#14579092C2×C414yescomplemented
100#14579082—22no—
101#14579082C2×C414yescomplemented
102(C2×D79)⋊C8—22no—
103(C2×D79)⋊C8C2×C414yescomplemented
104C4×C79⋊C8—22no—
105C79⋊#95—21no—
106C79⋊#95—21no—
107C79⋊#95—21no—
108C79⋊#95—21no—
109C79⋊#95—21no—
110C79⋊#95—21no—
111C22×D4×C79C2311yescharacteristic
112C23×C4×C79—21no—
113C22×C8×C79C2311yescharacteristic
114C22×C8×C79C2311yescharacteristic
115C4×D4×C79—22no—
116C4×D4×C79—22no—
117C2×C4⋊C4×C79C2311yescharacteristic
118C2×C4⋊C4×C79C2311yescharacteristic
119C2×C4⋊C4×C79C2311yescharacteristic
120C2×C22⋊C4×C79—21no—
121C2×C42×C79—21no—
122C2×C42×C79C2311yescharacteristic
123#102×C79—22no—
124#102×C79C2×C414yescomplemented
125C4×C8×C79—22no—
126#95×C79—21no—
127C23×D79C2×D411yescharacteristic
128C2×C22⋊D79—24no—
129C2×C22⋊D79—42no—
130C2×C22⋊D79—42no—
131C22×Dic79—21no—
132C22×Dic79—21no—
133C22×Dic79—21no—
134C22×Dic79—21no—
135C22×Dic79C2×D411yescharacteristic
136C22×Dic79C2×D411yescharacteristic
137C22×Dic79C2×D411yescharacteristic
138C2×C4×D79—24no—
139C2×C4×D79—24no—
140C2×C4×D79—22no—
141C2×C4×D79—22no—
142C2×C4×D79—22no—
143C2×C4×D79—22no—
144C2×C4×D79—21no—
145C2×C4×D79—21no—
146C2×C4×D79—21no—
147C2×C4×D79—21no—
148C2×C4×D79—41no—
149C2×C4×D79—42no—
150C2×C4×D79—42no—
151C2×C4×D79—42no—
152C2×C4×D79—42no—
153C2×C4×D79SD1614yes—
154C2×C4×D79C22×C412yes—
155C2×C4×D79#4112yes—
156C2×C79⋊C8—21no—
157C2×C79⋊C8—21no—
158C2×C79⋊C8—21no—
159C2×C79⋊C8—21no—
160C2×C79⋊C8—21no—
161C2×C79⋊C8C22×C412yes—
162C4⋊Dic79—21no—
163C4⋊Dic79—21no—
164C4⋊Dic79—21no—
165C4⋊Dic79—21no—
166C4⋊Dic79—21no—
167C4⋊Dic79C22×C412yes—
168C4⋊Dic79C22×C412yes—
169C4⋊Dic79#4112yes—
170Dic79⋊C4—24no—
171Dic79⋊C4—24no—
172Dic79⋊C4—42no—
173C22⋊Dic79—24no—
174C22⋊Dic79—42no—
175C22⋊Dic79—42no—
176(C2×D79)⋊C4—42no—
177C4×Dic79—22no—
178C4×Dic79—22no—
179C4×Dic79—21no—
180C4×Dic79—21no—
181C4×Dic79—42no—
182C4×Dic79—42no—
183C4×Dic79—42no—
184C4×Dic79—42no—
185C24×C79—21no—
186C2×D4×C79—21no—
187C2×D4×C79—21no—
188C2×D4×C79—21no—
189C2×D4×C79—21no—
190C2×D4×C79—21no—
191C2×D4×C79C22×C412yes—
192C22×C4×C79—21no—
193C22×C4×C79—21no—
194C22×C4×C79—21no—
195C22×C4×C79—42no—
196C22×C4×C79—42no—
197C22×C4×C79—42no—
198C22×C4×C79C2×D411yescharacteristic
199C22×C4×C79C2×D411yescharacteristic
200C22×C4×C79C2411yescharacteristic
201C2×C8×C79—21no—
202C2×C8×C79—21no—
203C2×C8×C79—21no—
204C2×C8×C79—21no—
205C2×C8×C79—21no—
206C2×C8×C79C22×C412yes—
207C4⋊C4×C79—21no—
208C4⋊C4×C79—21no—
209C4⋊C4×C79—21no—
210C4⋊C4×C79—21no—
211C4⋊C4×C79C22×C412yes—
212C4⋊C4×C79#4112yes—
213C22⋊C4×C79—42no—
214C42×C79—42no—
215C42×C79#4112yes—
216C42×C79#4112yes—
217C23×C79—22no—
218C23×C79—41no—
219C23×C79—41no—
220C23×C79—41no—
221C23×C79—41no—
222C23×C79—41no—
223C23×C79—41no—
224C23×C79C22×D411yescharacteristic
225C22×D79—21no—
226C22×D79—21no—
227C22×D79—21no—
228C22×D79—21no—
229C22×D79C4×D412yes—
230C22×D79C2×SD1612yes—
231C22×D79#13512yes—
232D4×C79—22no—
233D4×C79—22no—
234D4×C79—41no—
235D4×C79—41no—
236C2×C4×C79—21no—
237C2×C4×C79—21no—
238C2×C4×C79—22no—
239C2×C4×C79—22no—
240C2×C4×C79—41no—
241C2×C4×C79—41no—
242C2×C4×C79—41no—
243C2×C4×C79—41no—
244C2×C4×C79—41no—
245C2×C4×C79—41no—
246C2×C4×C79—41no—
247C2×C4×C79—84no—
248C2×C4×C79#12312yes—
249C2×C4×C79#12312yes—
250C2×C4×C79C2×SD1612yes—
251C2×C4×C79AGL(1,ℤ/8)12yes—
252C2×C4×C79C23×C411yescharacteristic
253C2×C4×C79C2×#4111yescharacteristic
254C2×C4×C79C2×#4111yescharacteristic
255C2×C4×C79C2×#4111yescharacteristic
256C2×C4×C79C2×#4111yescharacteristic
257C2×C4×C79C2×#4111yescharacteristic
258C22⋊D79—48no—
259C2×Dic79—21no—
260C2×Dic79—21no—
261C2×Dic79—21no—
262C2×Dic79—21no—
263C2×Dic79—22no—
264C2×Dic79—22no—
265C2×Dic79—21no—
266C2×Dic79—22no—
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×Dic79C4×D412yes—
279C2×Dic79C2×SD1612yes—
280C4×D79—22no—
281C4×D79—22no—
282C4×D79—22no—
283C4×D79—22no—
284C4×D79—28no—
285C4×D79—44no—
286C4×D79—48no—
287C4×D79—48no—
288C8×C79—22no—
289C8×C79—41no—
290C79⋊C8—22no—
291C79⋊C8—41no—
292C22×C79—42no—
293C22×C79—42no—
294C22×C79—42no—
295C22×C79—81no—
296C22×C79—81no—
297C22×C79—81no—
298C22×C79—81no—
299C22×C79C2×C4×D411yescharacteristic
300C22×C79C2×#12311yescharacteristic
301C22×C79#52511yescharacteristic
302C22×C79C22×SD1611yescharacteristic
303C22×C79C2×#13511yescharacteristic
304C22×C79C2×AGL(1,ℤ/8)11yescharacteristic
305C22×C79#57511yescharacteristic
306C2×D79—22no—
307C2×D79—22no—
308C2×D79—22no—
309C2×D79—22no—
310C2×D79—22no—
311C2×D79—22no—
312C2×D79C4×SD1614yes—
313C4×C79—22no—
314C4×C79—42no—
315C4×C79—42no—
316C4×C79—81no—
317C4×C79#48114yescomplemented
318C4×C79C4×#4111yescharacteristic
319C4×C79C4×#4111yescharacteristic
320C4×C79#52911yescharacteristic
321C4×C79#52911yescharacteristic
322Dic79—22no—
323Dic79—22no—
324Dic79—41no—
325Dic79—42no—
326Dic79—42no—
327Dic79—42no—
328Dic79—81no—
329C4×#481—791nomaximal, Sylow
330C2×C79—82no—
331C2×C79C4×#12311yescharacteristic
332C2×C79C2×C4×SD1611yescharacteristic
333C2×C79C4×AGL(1,ℤ/8)11yescharacteristic
334C2×C79C2×#48111yescharacteristic
335C2×C79#309111yescharacteristic
336C2×C79#310311yescharacteristic
337C2×C79#310511yescharacteristic
338D79—24no—
339C2×#481—791no—
340C4×#121—791no—
341C2×C4×C4⋊C4—791no—
342#1926—791no—
343#1926—791no—
344#1919—791no—
345#1919—791no—
346#1874—791no—
347#1853—791no—
348#1824—791no—
349C4×#106—791no—
350C4×#106—791no—
351C4×#102—791no—
352C4×#102D7911yescharacteristic, complemented
353C4×C22⋊C8—791no—
354C79C4×#48111yescharacteristic, complemented, Sylow
355C2×#121—791no—
356C2×C4×D4—1581no—
357C2×C4×D4C2×D7911yescharacteristic
358C22×C4⋊C4—791no—
359C22×C4⋊C4—791no—
360C22×C42—791no—
361C22×C42—1581no—
362#481—798no—
363C2×#106—791no—
364C2×#106—791no—
365C2×#106—791no—
366C2×#106—791no—
367C2×#102—791no—
368C2×#102—791no—
369C2×#102C2×D7911yescharacteristic
370C2×#102C2×D7911yescharacteristic
371C2×C22⋊C8—791no—
372C2×C22⋊C8—791no—
373C2×C4×C8—791no—
374C2×C4×C8C2×D7911yescharacteristic
375#390—791no—
376#389—791no—
377#388—1581no—
378#386—1581no—
379#380—791no—
380C4×C4⋊C4—791no—
381C4×C4⋊C4—791no—
382C4×C4⋊C4—791no—
383C4×C4⋊C4—791no—
384C4×C4⋊C4—1581no—
385C4×C4⋊C4—1581no—
386C4×C4⋊C4C2×D7911yescharacteristic
387C4×C22⋊C4—1581no—
388C2×#95—1581no—
389#340—791no—
390#340—791no—
391#340—791no—
392#340—791no—
393#340—791no—
394#340—791no—
395#340C2×D7911yescharacteristic
396#340C2×D7911yescharacteristic
397#336—791no—
398#336—791no—
399C22×D4—1581no—
400C22×D4C22×D7911yescharacteristic
401C23×C4—21no—
402C23×C4—791no—
403C23×C4—791no—
404C23×C4—791no—
405C23×C4—1581no—
406C23×C4—1581no—
407C22×C8—791no—
408C22×C8—791no—
409C22×C8C22×D7911yescharacteristic
410C22×C8C22×D7911yescharacteristic
411#121—794no—
412#121—1582no—
413C4×D4—22no—
414C4×D4—22no—
415C4×D4—3164no—
416C2×C4⋊C4—791no—
417C2×C4⋊C4—791no—
418C2×C4⋊C4—791no—
419C2×C4⋊C4—794no—
420C2×C4⋊C4—791no—
421C2×C4⋊C4—1582no—
422C2×C4⋊C4—1582no—
423C2×C4⋊C4—1581no—
424C2×C4⋊C4—1581no—
425C2×C4⋊C4—1581no—
426C2×C4⋊C4—1582no—
427C2×C4⋊C4C22×D7911yescharacteristic
428C2×C4⋊C4C22×D7911yescharacteristic
429C2×C4⋊C4C22×D7911yescharacteristic
430C2×C22⋊C4—21no—
431C2×C22⋊C4—1581no—
432C2×C22⋊C4—1581no—
433C2×C22⋊C4—1581no—
434C2×C22⋊C4—1581no—
435C2×C42—21no—
436C2×C42—3164no—
437C2×C42—791no—
438C2×C42—791no—
439C2×C42—791no—
440C2×C42—1581no—
441C2×C42—1581no—
442C2×C42—1581no—
443C2×C42—1581no—
444C2×C42—1582no—
445C2×C42—1582no—
446C2×C42C22×D7911yescharacteristic
447#106—794no—
448#106—794no—
449#106—1582no—
450#106—1582no—
451#102—22no—
452#102—794no—
453#102—1582no—
454#102C4×D7914yescomplemented
455C22⋊C8—794no—
456C22⋊C8—1582no—
457C4×C8—22no—
458C4×C8—1582no—
459#95—21no—
460#95—1581no—
461#95—1581no—
462#95—1581no—
463#95—1581no—
464#95—1581no—
465#95—1581no—
466C24—21no—
467C24—791no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—3162no—
474C2×D4—3162no—
475C2×D4—1584no—
476C2×D4C2×C4×D7912yes—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—3161no—
484C22×C4—3162no—
485C22×C4—3162no—
486C22×C4—3162no—
487C22×C4—3162no—
488C22×C4—791no—
489C22×C4—791no—
490C22×C4—792no—
491C22×C4—794no—
492C22×C4—792no—
493C22×C4—791no—
494C22×C4—1584no—
495C22×C4—1582no—
496C22×C4—1584no—
497C22×C4—1581no—
498C22×C4—1581no—
499C22×C4—1581no—
500C22×C4—1581no—
501C22×C4—1582no—
502C22×C4—1581no—
503C22×C4—1581no—
504C22×C4—1581no—
505C22×C4—1581no—
506C22×C4—1582no—
507C22×C4—1582no—
508C22×C4D4×D7911yescharacteristic
509C22×C4D4×D7911yescharacteristic
510C22×C4C23×D7911yescharacteristic
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—792no—
517C2×C8—1581no—
518C2×C8—1581no—
519C2×C8—1581no—
520C2×C8—1581no—
521C2×C8—1581no—
522C2×C8C2×C4×D7912yes—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—3162no—
528C4⋊C4—792no—
529C4⋊C4—792no—
530C4⋊C4—792no—
531C4⋊C4—1584no—
532C4⋊C4—1584no—
533C4⋊C4—1581no—
534C4⋊C4—1581no—
535C4⋊C4—1581no—
536C4⋊C4—1581no—
537C4⋊C4—1581no—
538C4⋊C4C2×C4×D7912yes—
539C4⋊C4#1192962412yes—
540C22⋊C4—42no—
541C22⋊C4—3162no—
542C22⋊C4—3162no—
543C22⋊C4—3162no—
544C22⋊C4—1584no—
545C42—42no—
546C42—3162no—
547C42—3162no—
548C42—3162no—
549C42—3162no—
550C42—1581no—
551C42—1581no—
552C42—1582no—
553C42—1582no—
554C42#1192962312yes—
555C42#1192962412yes—
556C23—22no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—792no—
564C23—792no—
565C23—792no—
566C23—1581no—
567C23—1581no—
568C23—1581no—
569C23—1581no—
570C23C2×D4×D7911yescharacteristic
571D4—22no—
572D4—22no—
573D4—41no—
574D4—41no—
575D4—3168no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—84no—
588C2×C4—3164no—
589C2×C4—3168no—
590C2×C4—3168no—
591C2×C4—3161no—
592C2×C4—3161no—
593C2×C4—3161no—
594C2×C4—3161no—
595C2×C4—3161no—
596C2×C4—3161no—
597C2×C4—3161no—
598C2×C4—3161no—
599C2×C4—3161no—
600C2×C4—792no—
601C2×C4—792no—
602C2×C4—1582no—
603C2×C4—1582no—
604C2×C4—1581no—
605C2×C4—1582no—
606C2×C4—1581no—
607C2×C4—1581no—
608C2×C4—1581no—
609C2×C4—1581no—
610C2×C4—1581no—
611C2×C4—1581no—
612C2×C4—1588no—
613C2×C4—1582no—
614C2×C4—1582no—
615C2×C4—1582no—
616C2×C4—1582no—
617C2×C4#1457914312yes—
618C2×C4#1457914312yes—
619C2×C4SD16×D7912yes—
620C2×C4#1457918512yes—
621C2×C4C22×C4×D7911yescharacteristic
622C2×C4#41×D7911yescharacteristic
623C2×C4#41×D7911yescharacteristic
624C2×C4C2×#1192962311yescharacteristic
625C2×C4C2×#1192962411yescharacteristic
626C2×C4C2×#1192962411yescharacteristic
627C8—22no—
628C8—41no—
629C8—3161no—
630C8—1582no—
631C22—42no—
632C22—42no—
633C22—42no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—794no—
639C22—1582no—
640C22—1582no—
641C22—1582no—
642C22—1582no—
643C22—1582no—
644C22—1582no—
645C22C4×D4×D7911yescharacteristic
646C22C2×#1457914311yescharacteristic
647C22#1909907211yescharacteristic
648C22C2×SD16×D7911yescharacteristic
649C22#135×D7911yescharacteristic
650C22C2×#1457918511yescharacteristic
651C22#1909936011yescharacteristic
652C4—22no—
653C4—42no—
654C4—42no—
655C4—81no—
656C4—3162no—
657C4—3162no—
658C4—3161no—
659C4—3162no—
660C4—6321no—
661C4—1582no—
662C4—1582no—
663C4#1909888014yesdirect product factor
664C4C4×#1192962311yescharacteristic
665C4C4×#1192962411yescharacteristic
666C4#1909909111yescharacteristic
667C4#1909909511yescharacteristic
668C2—82no—
669C2—1584no—
670C2C4×#1457914311yescharacteristic
671C2C4×SD16×D7911yescharacteristic
672C2C4×#1457918511yescharacteristic
673C2C2×#1909888011yescharacteristic
674C2#2377331111yescharacteristic
675C2#2377342911yescharacteristic
676C2#2377344511yescharacteristic
subgroupG/H
centerC22×C4D4×D79
commutatorC2×C4×C79C23×C4
FrattiniC22×C4C23×D79
FittingC4×#102×C79C2
socleC23×C79C22×D4
prime radicalC2×#14579132C22
cosocleC22×C4×C79C24
hypercenterC4×#102D79
hypocenterC79C4×#481
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C4×#102

Complements

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

NH ≅ G/Ntype
3. C4×C4⋊C4×D79C2semidirect
4. #23764030C2semidirect
5. #23764029C2semidirect
6. #23763977C2semidirect
7. #23763976C2semidirect
9. #23763594C2semidirect
10. #23763489C2semidirect
11. C4×#14579092C2semidirect
12. C4×#14579093C2semidirect
13. C4×#14579082C2semidirect
14. C4×(C2×D79)⋊C8C2semidirect
15. C4×#102×C79C2semidirect
22. #19098880C4direct (N × H)
81. C4⋊C4×D79C2×C4semidirect
97. #14579093C2×C4semidirect
99. #14579092C2×C4semidirect
101. #14579082C2×C4semidirect
103. (C2×D79)⋊C8C2×C4semidirect
124. #102×C79C2×C4semidirect
317. C4×C79#481semidirect
352. C4×#102D79semidirect
354. C79C4×#481semidirect
454. #102C4×D79semidirect
663. C4#19098880direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#190988802
C4×#145791322
C4×C4⋊C4×D792
#237640302
#237640292
#237639772
#237639762
#237637142
#237635942
#237634892
C4×#145790922
C4×#145790932
C4×#145790822
C4×(C2×D79)⋊C82
C4×#102×C792
C4×#48179