Finite Group Databasebeta

← C2×#385×D79 #34446572

Subgroups — C2×#385×D79 #34446572

Order 20224.

8670 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
1C24×C4×D79C211yesmaximal, characteristic
2C22×C4⋊C4×D79C212yesmaximal, complemented
3C22×C22⋊C4×D79C211yesmaximal, characteristic
4C22×C22⋊C4×D79C211yesmaximal, characteristic
5C2×#19098438C211yesmaximal, characteristic, complemented
6C2×#19098437C212yesmaximal, complemented
7C2×#19098436C211yesmaximal, characteristic, complemented
8C2×#19098435C211yesmaximal, characteristic, complemented
9C2×#19098434C212yesmaximal, complemented
10#385×D79C2116yesmaximal, direct product factor
11C2×#95×D79C212yesmaximal, complemented
12C2×#385×C79C211yesmaximal, characteristic, complemented
13C25×D79C2211yescharacteristic
14C24×Dic79C2211yescharacteristic
15C23×C4×D79—216no—
16C23×C4×D79—28no—
17C23×C4×D79C2211yescharacteristic
18C23×C4×D79C2211yescharacteristic
19C23×C4×D79C2218yes—
20C23×C4×D79C2212yes—
21C23×C4×D79C2212yes—
22C23×C4×D79C2212yes—
23C22×C4⋊Dic79C2212yescomplemented
24C22×Dic79⋊C4C2212yescomplemented
25C22×Dic79⋊C4C2212yescomplemented
26C2×C4⋊C4×D79—216no—
27C2×C4⋊C4×D79C22116yescomplemented
28C22×C22⋊Dic79C2211yescharacteristic
29C22×C22⋊Dic79C2211yescharacteristic
30C22×(C2×D79)⋊C4C2211yescharacteristic
31C22×(C2×D79)⋊C4C2211yescharacteristic
32C22×(C2×D79)⋊C4C2212yes—
33C2×C22⋊C4×D79—28no—
34C2×C22⋊C4×D79C4116yescomplemented
35C2×C22⋊C4×D79C2218yes—
36C2×C22⋊C4×D79C2218yes—
37#19098438C2218yescomplemented
38#19098437C22116yescomplemented
39#19098436C2218yescomplemented
40#19098435C2218yescomplemented
41#19098434C22116yescomplemented
42C2×C79⋊#95C2212yescomplemented
43C2×C79⋊#95C2212yescomplemented
44C2×C79⋊#95C2212yescomplemented
45#95×D79C22116yescomplemented
46C24×C4×C79C2211yescharacteristic
47C22×C4⋊C4×C79C2212yescomplemented
48C22×C22⋊C4×C79C2211yescharacteristic
49C22×C22⋊C4×C79C2211yescharacteristic
50#385×C79C2218yescomplemented
51C2×#95×C79C2212yescomplemented
52C24×D79—28no—
53C24×D79—28no—
54C24×D79C2×C418yes—
55C24×D79D418yes—
56C24×D79Q818yes—
57C24×D79C2314yes—
58C24×D79C2311yescharacteristic
59C24×D79C2311yescharacteristic
60C23×Dic79—24no—
61C23×Dic79—28no—
62C23×Dic79C2311yescharacteristic
63C23×Dic79C2314yes—
64C23×Dic79C2311yescharacteristic
65C23×Dic79C2312yes—
66C23×Dic79C2312yes—
67C22×C4×D79—2128no—
68C22×C4×D79—28no—
69C22×C4×D79—28no—
70C22×C4×D79—232no—
71C22×C4×D79—28no—
72C22×C4×D79—28no—
73C22×C4×D79—28no—
74C22×C4×D79—28no—
75C22×C4×D79—28no—
76C22×C4×D79—264no—
77C22×C4×D79—24no—
78C22×C4×D79—24no—
79C22×C4×D79—28no—
80C22×C4×D79—28no—
81C22×C4×D79C2×C4116yescomplemented
82C22×C4×D79D4116yes—
83C22×C4×D79C2314yes—
84C22×C4×D79C2318yes—
85C22×C4×D79C2314yes—
86C22×C4×D79C2318yes—
87C22×C4×D79C2318yes—
88C2×C4⋊Dic79—28no—
89C2×C4⋊Dic79C2318yescomplemented
90C2×Dic79⋊C4—28no—
91C2×Dic79⋊C4—28no—
92C2×Dic79⋊C4C2318yescomplemented
93C2×Dic79⋊C4C2318yescomplemented
94C4⋊C4×D79—264no—
95C2×C22⋊Dic79—24no—
96C2×C22⋊Dic79C2×C418yescomplemented
97C2×C22⋊Dic79C2314yes—
98C2×C22⋊Dic79C2314yes—
99C2×(C2×D79)⋊C4—24no—
100C2×(C2×D79)⋊C4—24no—
101C2×(C2×D79)⋊C4C2×C4116yescomplemented
102C2×(C2×D79)⋊C4C2314yes—
103C2×(C2×D79)⋊C4C2314yes—
104C2×(C2×D79)⋊C4C2318yes—
105C22⋊C4×D79—232no—
106C22⋊C4×D79C2×C4164yescomplemented
107C79⋊#95C2318yescomplemented
108C79⋊#95C2318yescomplemented
109C79⋊#95C2318yescomplemented
110C25×C79C2311yescharacteristic
111C23×C4×C79—24no—
112C23×C4×C79—28no—
113C23×C4×C79C2311yescharacteristic
114C23×C4×C79C2314yes—
115C23×C4×C79C2311yescharacteristic
116C23×C4×C79C2312yes—
117C23×C4×C79C2312yes—
118C2×C4⋊C4×C79—28no—
119C2×C4⋊C4×C79C2318yescomplemented
120C2×C22⋊C4×C79—24no—
121C2×C22⋊C4×C79C2×C418yescomplemented
122C2×C22⋊C4×C79C2314yes—
123C2×C22⋊C4×C79C2314yes—
124#95×C79C2318yescomplemented
125C23×D79—24no—
126C23×D79—24no—
127C23×D79—264no—
128C23×D79—232no—
129C23×D79—264no—
130C23×D79—232no—
131C23×D79—216no—
132C23×D79—216no—
133C23×D79C4⋊C4164yescomplemented
134C23×D79C22×C4116yes—
135C23×D79C22×C414yes—
136C23×D79C22×C414yes—
137C23×D79C2×D4116yes—
138C23×D79C2×D414yes—
139C23×D79C2×D414yes—
140C23×D79C2×D418yes—
141C23×D79C2×Q814yes—
142C23×D79C2×Q8116yes—
143C23×D79C2×Q814yes—
144C23×D79#4118yes—
145C23×D79C2412yes—
146C23×D79C2412yes—
147C22×Dic79—232no—
148C22×Dic79—216no—
149C22×Dic79—24no—
150C22×Dic79—28no—
151C22×Dic79—24no—
152C22×Dic79—24no—
153C22×Dic79—22no—
154C22×Dic79—22no—
155C22×Dic79—24no—
156C22×Dic79—24no—
157C22×Dic79—24no—
158C22×Dic79C22×C418yescomplemented
159C22×Dic79C2×D418yes—
160C22×Dic79C2412yes—
161C22×Dic79C2412yes—
162C22×Dic79C2414yes—
163C22×Dic79C2414yes—
164C2×C4×D79—2256no—
165C2×C4×D79—264no—
166C2×C4×D79—216no—
167C2×C4×D79—264no—
168C2×C4×D79—264no—
169C2×C4×D79—216no—
170C2×C4×D79—216no—
171C2×C4×D79—216no—
172C2×C4×D79—216no—
173C2×C4×D79—28no—
174C2×C4×D79—28no—
175C2×C4×D79—216no—
176C2×C4×D79—216no—
177C2×C4×D79—216no—
178C2×C4×D79—216no—
179C2×C4×D79—416no—
180C2×C4×D79—416no—
181C2×C4×D79C22×C4132yescomplemented
182C2×C4×D79C2×D4132yes—
183C4⋊Dic79—216no—
184Dic79⋊C4—216no—
185Dic79⋊C4—216no—
186C22⋊Dic79—28no—
187C22⋊Dic79C22×C4116yescomplemented
188(C2×D79)⋊C4—28no—
189(C2×D79)⋊C4—28no—
190(C2×D79)⋊C4C22×C4132yescomplemented
191C24×C79—24no—
192C24×C79—24no—
193C24×C79C22×C414yes—
194C24×C79C2×D414yes—
195C24×C79C2×Q814yes—
196C24×C79C2412yes—
197C24×C79C2411yescharacteristic
198C22×C4×C79—232no—
199C22×C4×C79—24no—
200C22×C4×C79—28no—
201C22×C4×C79—24no—
202C22×C4×C79—24no—
203C22×C4×C79—24no—
204C22×C4×C79—216no—
205C22×C4×C79—22no—
206C22×C4×C79—22no—
207C22×C4×C79—24no—
208C22×C4×C79—24no—
209C22×C4×C79C22×C418yescomplemented
210C22×C4×C79C2×D418yes—
211C22×C4×C79C2412yes—
212C22×C4×C79C2412yes—
213C22×C4×C79C2414yes—
214C22×C4×C79C2414yes—
215C4⋊C4×C79—216no—
216C22⋊C4×C79—28no—
217C22⋊C4×C79C22×C4116yescomplemented
218C23×C79—216no—
219C23×C79—28no—
220C23×C79—216no—
221C23×C79—28no—
222C23×C79—24no—
223C23×C79—24no—
224C23×C79C2×C4⋊C4116yescomplemented
225C23×C79C23×C414yes—
226C23×C79C23×C412yes—
227C23×C79C22×D414yes—
228C23×C79C22×D412yes—
229C23×C79C22×D414yes—
230C23×C79C22×Q814yes—
231C23×C79C22×Q812yes—
232C23×C79C2×#4114yes—
233C23×C79C2511yescharacteristic
234C22×D79—216no—
235C22×D79—28no—
236C22×D79—216no—
237C22×D79—28no—
238C22×D79—24no—
239C22×D79—24no—
240C22×D79—264no—
241C22×D79—232no—
242C22×D79—264no—
243C22×D79—232no—
244C22×D79—2256no—
245C22×D79C2×C4⋊C4116yes—
246C22×D79C2×C4⋊C4164yescomplemented
247C22×D79C2×C4⋊C4116yescomplemented
248C22×D79C4×D4132yes—
249C22×D79#120116yes—
250C22×D79C22⋊Q8132yes—
251C22×D79#123116yes—
252C22×D79C23×C414yes—
253C22×D79C23×C414yes—
254C22×D79C22×D414yes—
255C22×D79C22×D414yes—
256C22×D79C22×D418yes—
257C22×D79C22×Q814yes—
258C22×D79C22×Q814yes—
259C22×D79C2×#4118yes—
260C2×C4×C79—232no—
261C2×C4×C79—216no—
262C2×C4×C79—216no—
263C2×C4×C79—24no—
264C2×C4×C79—24no—
265C2×C4×C79—24no—
266C2×C4×C79—24no—
267C2×C4×C79—22no—
268C2×C4×C79—22no—
269C2×C4×C79—24no—
270C2×C4×C79—24no—
271C2×C4×C79—44no—
272C2×C4×C79—44no—
273C2×C4×C79C23×C418yescomplemented
274C2×C4×C79C22×D418yes—
275C2×Dic79—232no—
276C2×Dic79—216no—
277C2×Dic79—216no—
278C2×Dic79—24no—
279C2×Dic79—24no—
280C2×Dic79—24no—
281C2×Dic79—24no—
282C2×Dic79—22no—
283C2×Dic79—22no—
284C2×Dic79—24no—
285C2×Dic79—24no—
286C2×Dic79—44no—
287C2×Dic79—44no—
288C2×Dic79C23×C418yescomplemented
289C2×Dic79C22×D418yes—
290C4×D79—264no—
291C4×D79—264no—
292C4×D79—264no—
293C4×D79—416no—
294C4×D79—416no—
295C22×C79—28no—
296C22×C79—24no—
297C22×C79—28no—
298C22×C79—24no—
299C22×C79—232no—
300C22×C79C22×C4⋊C414yes—
301C22×C79C22×C4⋊C418yescomplemented
302C22×C79C2×C4×D418yes—
303C22×C79C2×#12014yes—
304C22×C79C2×C22⋊Q818yes—
305C22×C79C2×#12314yes—
306C22×C79C24×C411yescharacteristic
307C22×C79C23×D411yescharacteristic
308C22×C79C23×D412yes—
309C22×C79C23×Q811yescharacteristic
310C22×C79C22×#4112yes—
311C2×D79—28no—
312C2×D79—24no—
313C2×D79—28no—
314C2×D79—24no—
315C2×D79—232no—
316C2×D79—2128no—
317C2×D79#385164yesdirect product factor
318C2×D79C22×C4⋊C418yes—
319C2×D79C22×C4⋊C418yescomplemented
320C2×D79C2×C4×D4116yes—
321C2×D79C2×#12018yes—
322C2×D79C2×C22⋊Q8116yes—
323C2×D79C2×#12318yes—
324C4×C79—28no—
325C4×C79—28no—
326C4×C79—42no—
327C4×C79—42no—
328Dic79—28no—
329Dic79—28no—
330Dic79—42no—
331Dic79—42no—
332C22×#385—791nomaximal, Sylow
333C2×C79—28no—
334C2×C79C2×#38518yescomplemented
335C2×C79C23×C4⋊C411yescharacteristic
336C2×C79C22×C4×D412yes—
337C2×C79C22×#12011yescharacteristic
338C2×C79C22×C22⋊Q812yes—
339C2×C79C22×#12311yescharacteristic
340D79—28no—
341D79C2×#385116yesdirect product factor
342C25×C4—791no—
343C23×C4⋊C4—792no—
344C23×C22⋊C4—791no—
345C23×C22⋊C4—791no—
346C2×#385—7916no—
347C2×#385—792no—
348C2×#385—791no—
349C2×#385—792no—
350C2×#385—791no—
351C2×#385—791no—
352C2×#385D7911yescharacteristic, direct product factor
353C22×#95—792no—
354C79C22×#38511yescharacteristic, complemented, Sylow
355C26—791no—
356C24×C4—792no—
357C24×C4—792no—
358C24×C4—791no—
359C24×C4—792no—
360C24×C4—798no—
361C24×C4—791no—
362C24×C4—791no—
363C24×C4—15816no—
364C24×C4—1588no—
365C24×C4C2×D7911yescharacteristic
366C22×C4⋊C4—792no—
367C22×C4⋊C4—792no—
368C22×C4⋊C4—792no—
369C22×C4⋊C4—7916no—
370C22×C4⋊C4—15816no—
371C22×C4⋊C4C2×D7912yescomplemented
372C22×C22⋊C4—791no—
373C22×C22⋊C4—792no—
374C22×C22⋊C4—798no—
375C22×C22⋊C4—7916no—
376C22×C22⋊C4—791no—
377C22×C22⋊C4—791no—
378C22×C22⋊C4—791no—
379C22×C22⋊C4—798no—
380C22×C22⋊C4—1588no—
381C22×C22⋊C4C2×D7911yescharacteristic
382C22×C22⋊C4C2×D7911yescharacteristic
383#385—798no—
384#385—7916no—
385#385—798no—
386#385—798no—
387#385—7916no—
388#385C2×D7918yesdirect product factor
389C2×#95—792no—
390C2×#95—792no—
391C2×#95—792no—
392C2×#95—7916no—
393C2×#95C2×D7912yescomplemented
394C25—791no—
395C25—798no—
396C25—798no—
397C25—798no—
398C25—794no—
399C25—791no—
400C25—1588no—
401C25—1588no—
402C25C22×D7911yescharacteristic
403C23×C4—24no—
404C23×C4—28no—
405C23×C4—792no—
406C23×C4—792no—
407C23×C4—7916no—
408C23×C4—7916no—
409C23×C4—798no—
410C23×C4—798no—
411C23×C4—794no—
412C23×C4—791no—
413C23×C4—791no—
414C23×C4—794no—
415C23×C4—794no—
416C23×C4—798no—
417C23×C4—1584no—
418C23×C4—1584no—
419C23×C4—1588no—
420C23×C4—1588no—
421C23×C4—1588no—
422C23×C4—15864no—
423C23×C4—1588no—
424C23×C4—1588no—
425C23×C4—1588no—
426C23×C4—15832no—
427C23×C4—1588no—
428C23×C4—1588no—
429C23×C4—158128no—
430C23×C4—1588no—
431C23×C4—1584no—
432C23×C4—1588no—
433C23×C4C22×D7914yes—
434C23×C4C22×D7911yescharacteristic
435C23×C4C22×D7911yescharacteristic
436C23×C4C22×D7912yes—
437C23×C4C22×D7912yes—
438C2×C4⋊C4—28no—
439C2×C4⋊C4—798no—
440C2×C4⋊C4—798no—
441C2×C4⋊C4—798no—
442C2×C4⋊C4—15864no—
443C2×C4⋊C4—1588no—
444C2×C4⋊C4—1588no—
445C2×C4⋊C4—1588no—
446C2×C4⋊C4C22×D7918yescomplemented
447C2×C22⋊C4—24no—
448C2×C22⋊C4—798no—
449C2×C22⋊C4—794no—
450C2×C22⋊C4—7916no—
451C2×C22⋊C4—798no—
452C2×C22⋊C4—7964no—
453C2×C22⋊C4—794no—
454C2×C22⋊C4—794no—
455C2×C22⋊C4—794no—
456C2×C22⋊C4—15832no—
457C2×C22⋊C4—1584no—
458C2×C22⋊C4—1584no—
459C2×C22⋊C4—1584no—
460C2×C22⋊C4C4×D7918yescomplemented
461C2×C22⋊C4C22×D7914yes—
462C2×C22⋊C4C22×D7914yes—
463#95—798no—
464#95—798no—
465#95—798no—
466#95C22×D7918yescomplemented
467C24—24no—
468C24—24no—
469C24—794no—
470C24—798no—
471C24—792no—
472C24—794no—
473C24—798no—
474C24—794no—
475C24—7916no—
476C24—794no—
477C24—792no—
478C24—7964no—
479C24—7916no—
480C24—794no—
481C24—7916no—
482C24—794no—
483C24—15832no—
484C24—15816no—
485C24—15864no—
486C24—15864no—
487C24—15832no—
488C24—15816no—
489C24—1584no—
490C24—1584no—
491C24C2×C4×D7914yes—
492C24D4×D7914yes—
493C24Q8×D7914yes—
494C24C23×D7912yes—
495C24C23×D7911yescharacteristic
496C22×C4—232no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—28no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—216no—
503C22×C4—24no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—24no—
507C22×C4—31616no—
508C22×C4—31616no—
509C22×C4—794no—
510C22×C4—794no—
511C22×C4—798no—
512C22×C4—798no—
513C22×C4—7932no—
514C22×C4—7932no—
515C22×C4—792no—
516C22×C4—792no—
517C22×C4—1588no—
518C22×C4—1588no—
519C22×C4—15816no—
520C22×C4—15816no—
521C22×C4—15816no—
522C22×C4—15816no—
523C22×C4—15864no—
524C22×C4—15816no—
525C22×C4—15864no—
526C22×C4—15816no—
527C22×C4—15816no—
528C22×C4—15816no—
529C22×C4—158256no—
530C22×C4—15864no—
531C22×C4—1584no—
532C22×C4—1582no—
533C22×C4—1582no—
534C22×C4—1584no—
535C22×C4—15816no—
536C22×C4—15832no—
537C22×C4—1584no—
538C22×C4—1584no—
539C22×C4—1588no—
540C22×C4—1584no—
541C22×C4—1584no—
542C22×C4—15816no—
543C22×C4C2×C4×D7918yescomplemented
544C22×C4D4×D7918yes—
545C22×C4C23×D7912yes—
546C22×C4C23×D7912yes—
547C22×C4C23×D7914yes—
548C22×C4C23×D7914yes—
549C4⋊C4—216no—
550C4⋊C4—15816no—
551C4⋊C4—15816no—
552C4⋊C4—15816no—
553C22⋊C4—28no—
554C22⋊C4—7916no—
555C22⋊C4—7932no—
556C22⋊C4—1588no—
557C22⋊C4—1588no—
558C22⋊C4—1588no—
559C22⋊C4C2×C4×D79116yescomplemented
560C23—216no—
561C23—28no—
562C23—216no—
563C23—28no—
564C23—24no—
565C23—24no—
566C23—7916no—
567C23—7932no—
568C23—7916no—
569C23—7932no—
570C23—7916no—
571C23—794no—
572C23—798no—
573C23—794no—
574C23—794no—
575C23—798no—
576C23—7916no—
577C23—7964no—
578C23—794no—
579C23—794no—
580C23—794no—
581C23—15832no—
582C23—158256no—
583C23—15864no—
584C23—15864no—
585C23—15832no—
586C23—15816no—
587C23—1588no—
588C23—15816no—
589C23—1588no—
590C23—1584no—
591C23—1584no—
592C23C4⋊C4×D79116yescomplemented
593C23C22×C4×D7914yes—
594C23C22×C4×D7912yes—
595C23C2×D4×D7914yes—
596C23C2×D4×D7912yes—
597C23C2×D4×D7914yes—
598C23C2×Q8×D7914yes—
599C23C2×Q8×D7912yes—
600C23#41×D7914yes—
601C23C24×D7911yescharacteristic
602C2×C4—232no—
603C2×C4—216no—
604C2×C4—216no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—44no—
614C2×C4—44no—
615C2×C4—31616no—
616C2×C4—31616no—
617C2×C4—3164no—
618C2×C4—3164no—
619C2×C4—798no—
620C2×C4—798no—
621C2×C4—15864no—
622C2×C4—15864no—
623C2×C4—15864no—
624C2×C4—1582no—
625C2×C4—1582no—
626C2×C4—1584no—
627C2×C4—1584no—
628C2×C4—15832no—
629C2×C4—15816no—
630C2×C4—15816no—
631C2×C4—1584no—
632C2×C4—1584no—
633C2×C4—1584no—
634C2×C4—1584no—
635C2×C4C22×C4×D7918yescomplemented
636C2×C4C2×D4×D7918yes—
637C22—232no—
638C22—28no—
639C22—24no—
640C22—28no—
641C22—24no—
642C22—798no—
643C22—7964no—
644C22—7916no—
645C22—798no—
646C22—7916no—
647C22—798no—
648C22—798no—
649C22—158128no—
650C22—15832no—
651C22—1588no—
652C22—1584no—
653C22—1588no—
654C22—1584no—
655C22C2×C4⋊C4×D7914yes—
656C22C2×C4⋊C4×D7918yescomplemented
657C22C4×D4×D7918yes—
658C22#120×D7914yes—
659C22C22⋊Q8×D7918yes—
660C22#123×D7914yes—
661C22C23×C4×D7911yescharacteristic
662C22C22×D4×D7911yescharacteristic
663C22C22×D4×D7912yes—
664C22C22×Q8×D7911yescharacteristic
665C22C2×#41×D7912yes—
666C4—28no—
667C4—28no—
668C4—42no—
669C4—42no—
670C4—3162no—
671C4—3162no—
672C4—1588no—
673C4—1588no—
674C2—28no—
675C2—7916no—
676C2—1588no—
677C2#385×D7918yesdirect product factor
678C2C22×C4⋊C4×D7911yescharacteristic
679C2C2×C4×D4×D7912yes—
680C2C2×#120×D7911yescharacteristic
681C2C2×C22⋊Q8×D7912yes—
682C2C2×#123×D7911yescharacteristic
subgroupG/H
centerC24C23×D79
commutatorC22×C79C24×C4
FrattiniC23C24×D79
FittingC2×#385×C79C2
socleC24×C79C24
prime radicalC25×D79C22
cosocleC23×C79C25
hypercenterC2×#385D79
hypocenterC79C22×#385
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C24 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
2. C22×C4⋊C4×D79C2semidirect
5. C2×#19098438C2semidirect
6. C2×#19098437C2semidirect
7. C2×#19098436C2semidirect
8. C2×#19098435C2semidirect
9. C2×#19098434C2semidirect
10. #385×D79C2direct (N × H)
11. C2×#95×D79C2semidirect
12. C2×#385×C79C2semidirect
23. C22×C4⋊Dic79C22semidirect
24. C22×Dic79⋊C4C22semidirect
25. C22×Dic79⋊C4C22semidirect
27. C2×C4⋊C4×D79C22semidirect
34. C2×C22⋊C4×D79C4semidirect
37. #19098438C22semidirect
38. #19098437C22semidirect
39. #19098436C22semidirect
40. #19098435C22semidirect
41. #19098434C22semidirect
42. C2×C79⋊#95C22semidirect
43. C2×C79⋊#95C22semidirect
44. C2×C79⋊#95C22semidirect
45. #95×D79C22semidirect
47. C22×C4⋊C4×C79C22semidirect
50. #385×C79C22semidirect
51. C2×#95×C79C22semidirect
81. C22×C4×D79C2×C4semidirect
89. C2×C4⋊Dic79C23semidirect
92. C2×Dic79⋊C4C23semidirect
93. C2×Dic79⋊C4C23semidirect
96. C2×C22⋊Dic79C2×C4semidirect
101. C2×(C2×D79)⋊C4C2×C4semidirect
106. C22⋊C4×D79C2×C4semidirect
107. C79⋊#95C23semidirect
108. C79⋊#95C23semidirect
109. C79⋊#95C23semidirect
119. C2×C4⋊C4×C79C23semidirect
121. C2×C22⋊C4×C79C2×C4semidirect
124. #95×C79C23semidirect
133. C23×D79C4⋊C4semidirect
158. C22×Dic79C22×C4semidirect
181. C2×C4×D79C22×C4semidirect
187. C22⋊Dic79C22×C4semidirect
190. (C2×D79)⋊C4C22×C4semidirect
209. C22×C4×C79C22×C4semidirect
217. C22⋊C4×C79C22×C4semidirect
224. C23×C79C2×C4⋊C4semidirect
246. C22×D79C2×C4⋊C4semidirect
247. C22×D79C2×C4⋊C4semidirect
273. C2×C4×C79C23×C4semidirect
288. C2×Dic79C23×C4semidirect
301. C22×C79C22×C4⋊C4semidirect
317. C2×D79#385direct (N × H)
319. C2×D79C22×C4⋊C4semidirect
334. C2×C79C2×#385semidirect
341. D79C2×#385direct (N × H)
352. C2×#385D79direct (N × H)
354. C79C22×#385semidirect
371. C22×C4⋊C4C2×D79semidirect
388. #385C2×D79direct (N × H)
393. C2×#95C2×D79semidirect
446. C2×C4⋊C4C22×D79semidirect
460. C2×C22⋊C4C4×D79semidirect
466. #95C22×D79semidirect
543. C22×C4C2×C4×D79semidirect
559. C22⋊C4C2×C4×D79semidirect
592. C23C4⋊C4×D79semidirect
635. C2×C4C22×C4×D79semidirect
656. C22C2×C4⋊C4×D79semidirect
677. C2#385×D79direct (N × H)

Maximal subgroups

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

subgroupindex
C24×C4×D792
C22×C4⋊C4×D792
C22×C22⋊C4×D792
C2×#190984382
C2×#190984372
C2×#190984362
C2×#190984352
C2×#190984342
#385×D792
C2×#95×D792
C2×#385×C792
C22×#38579