Finite Group Databasebeta

← #34306507

Subgroups — #34306507

Order 20224.

978 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19098639C211yesmaximal, characteristic
2C2×#19098605C211yesmaximal, characteristic, complemented
3C2×#19098604C211yesmaximal, characteristic, complemented
4#23766331C211yesmaximal, characteristic
5#23766322C211yesmaximal, characteristic
6#23764171C211yesmaximal, characteristic, complemented
7#23764167C211yesmaximal, characteristic, complemented
8#23763602C211yesmaximal, characteristic, complemented
9#23763597C211yesmaximal, characteristic, complemented
10#23763594C211yesmaximal, characteristic, complemented
11#23763592C211yesmaximal, characteristic, complemented
12#23763563C211yesmaximal, characteristic, complemented
13#23763430C211yesmaximal, characteristic, complemented
14#106×Dic79C211yesmaximal, characteristic, complemented
15C79×#1809C211yesmaximal, characteristic, complemented
16C22×#11929607C2211yescharacteristic
17C2×C4×C22⋊D79C2211yescharacteristic
18C2×#14579120C2211yescharacteristic
19C2×#14579119C2211yescharacteristic
20C22×C4⋊Dic79C2211yescharacteristic
21C2×C4⋊C4×D79C2211yescharacteristic
22#19098639C418yescomplemented
23#19098605—24no—
24#19098604—24no—
25C2×#14579095C2211yescharacteristic
26C2×#14579095C2211yescharacteristic
27C2×#14579094C2211yescharacteristic
28C2×#14579093C2211yescharacteristic
29C2×#14579093C2211yescharacteristic
30C2×#14579092C2211yescharacteristic
31C2×#14579092C2211yescharacteristic
32C2×#14579092C2211yescharacteristic
33C2×Dic79⋊C8C2211yescharacteristic
34C2×C22⋊(C79⋊C8)C2211yescharacteristic
35C2×(C2×D79)⋊C8C2211yescharacteristic
36C2×C8×Dic79C2211yescharacteristic
37#19098455—21no—
38#19098451—21no—
39#19098450—21no—
40#19098445—21no—
41#19098440—21no—
42#19098439—21no—
43#19098428C2211yescharacteristic
44#19098428C2211yescharacteristic
45#19098420C2211yescharacteristic
46#19098420C2211yescharacteristic
47C4⋊C4×Dic79C2211yescharacteristic
48C4⋊C4×Dic79C2211yescharacteristic
49C22⋊C4×Dic79—21no—
50#19098410—21no—
51#19098325C2211yescharacteristic
52#19098325C2211yescharacteristic
53#19098325C2211yescharacteristic
54#19098325C2211yescharacteristic
55C22×M16×C79C2211yescharacteristic
56C2×#107×C79C2211yescharacteristic
57C2×#106×C79C2211yescharacteristic
58#380×C79C2211yescharacteristic
59#380×C79C2211yescharacteristic
60#340×C79C2211yescharacteristic
61#340×C79C2211yescharacteristic
62C22×C22⋊D79D411yescharacteristic
63C23×Dic79—21no—
64C22×C4×D79—21no—
65C22×C4×D79C2311yescharacteristic
66C2×#11929607—22no—
67C2×#11929607—22no—
68C2×#11929607C2×C414yescomplemented
69C22×C79⋊C8C2311yescharacteristic
70C22×C79⋊C8C2311yescharacteristic
71C4×C22⋊D79C2×C414yes—
72C4×C22⋊D79Q814yes—
73#14579120—22no—
74#14579120—41no—
75#14579119—22no—
76#14579119—41no—
77C2×C4⋊Dic79—22no—
78C2×C4⋊Dic79—21no—
79C2×C4⋊Dic79—41no—
80C2×C4⋊Dic79C2311yescharacteristic
81C2×C4⋊Dic79C2311yescharacteristic
82C2×C4⋊Dic79C2311yescharacteristic
83C2×C4⋊Dic79C2311yescharacteristic
84C2×Dic79⋊C4—21no—
85C2×Dic79⋊C4D411yescharacteristic
86C4⋊C4×D79—22no—
87C4⋊C4×D79—41no—
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×Dic79—21no—
98C2×C4×Dic79C2311yescharacteristic
99#14579095—22no—
100#14579095—22no—
101#14579094—22no—
102#14579093—22no—
103#14579093D414yescomplemented
104#14579092—22no—
105#14579092—41no—
106#14579092—41no—
107Dic79⋊C8C2×C414yescomplemented
108C22⋊(C79⋊C8)C2×C414yescomplemented
109(C2×D79)⋊C8C2×C414yescomplemented
110C8×Dic79C2×C414yescomplemented
111C79⋊#95—21no—
112C79⋊#95—21no—
113C79⋊#95—21no—
114C79⋊#95—21no—
115C79⋊#95—21no—
116C79⋊#95—21no—
117C79⋊#95—21no—
118C79⋊#95—21no—
119C23×C4×C79C2311yescharacteristic
120C2×M16×C79—22no—
121C2×M16×C79—22no—
122C2×M16×C79C2×C414yescomplemented
123C22×C8×C79C2311yescharacteristic
124C22×C8×C79C2311yescharacteristic
125C2×C4⋊C4×C79C2311yescharacteristic
126C2×C4⋊C4×C79C2311yescharacteristic
127C2×C4⋊C4×C79C2311yescharacteristic
128C2×C4⋊C4×C79C2311yescharacteristic
129C2×C22⋊C4×C79—21no—
130C2×C22⋊C4×C79—21no—
131#107×C79—22no—
132#106×C79—22no—
133#95×C79—21no—
134#95×C79—21no—
135C23×D79C2×D411yescharacteristic
136C2×C22⋊D79—41no—
137C2×C22⋊D79—41no—
138C2×C22⋊D79C4⋊C414yes—
139C22×Dic79—21no—
140C22×Dic79—21no—
141C22×Dic79—21no—
142C22×Dic79—21no—
143C22×Dic79—42no—
144C22×Dic79—42no—
145C22×Dic79—81no—
146C22×Dic79C2×D411yescharacteristic
147C22×Dic79C2×D411yescharacteristic
148C22×Dic79C2×D411yescharacteristic
149C2×C4×D79—21no—
150C2×C4×D79—21no—
151C2×C4×D79—21no—
152C2×C4×D79—21no—
153C2×C4×D79—42no—
154C2×C4×D79—42no—
155C2×C4×D79—81no—
156C2×C4×D79C22×C412yes—
157C2×C4×D79C2×Q812yes—
158#11929607—28no—
159C2×C79⋊C8—21no—
160C2×C79⋊C8—21no—
161C2×C79⋊C8—21no—
162C2×C79⋊C8—21no—
163C2×C79⋊C8C22×C412yes—
164C2×C79⋊C8C22×C412yes—
165C4⋊Dic79—21no—
166C4⋊Dic79—21no—
167C4⋊Dic79—21no—
168C4⋊Dic79—21no—
169C4⋊Dic79—21no—
170C4⋊Dic79—21no—
171C4⋊Dic79—42no—
172C4⋊Dic79C2×D412yes—
173C4⋊Dic79C2×D412yes—
174Dic79⋊C4—42no—
175Dic79⋊C4C4⋊C414yes—
176C22⋊Dic79—42no—
177C22⋊Dic79C4⋊C414yes—
178(C2×D79)⋊C4—42no—
179(C2×D79)⋊C4—42no—
180(C2×D79)⋊C4—81no—
181(C2×D79)⋊C4C4⋊C414yes—
182C4×Dic79—42no—
183C4×Dic79—42no—
184C4×Dic79—81no—
185C4×Dic79—81no—
186C4×Dic79C22×C412yes—
187C4×Dic79C2×Q812yes—
188C24×C79C2×D411yescharacteristic
189C22×C4×C79—21no—
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×C79C22×C412yes—
198C22×C4×C79C2×D411yescharacteristic
199C22×C4×C79C2×Q812yes—
200C22×C4×C79C2411yescharacteristic
201M16×C79—28no—
202C2×C8×C79—21no—
203C2×C8×C79—21no—
204C2×C8×C79C22×C412yes—
205C2×C8×C79C22×C412yes—
206C2×C8×C79C2×D412yes—
207C2×C8×C79#4112yes—
208C4⋊C4×C79—21no—
209C4⋊C4×C79—21no—
210C4⋊C4×C79—21no—
211C4⋊C4×C79—21no—
212C4⋊C4×C79—21no—
213C4⋊C4×C79—21no—
214C4⋊C4×C79—21no—
215C4⋊C4×C79—21no—
216C22⋊C4×C79—42no—
217C22⋊C4×C79—81no—
218C23×C79—21no—
219C23×C79—21no—
220C23×C79—21no—
221C23×C79—21no—
222C23×C79—21no—
223C23×C79—21no—
224C23×C79C2×C4⋊C412yes—
225C23×C79C22×D411yescharacteristic
226C22×D79—21no—
227C22×D79—21no—
228C22×D79—21no—
229C22×D79—21no—
230C22×D79—21no—
231C22×D79—21no—
232C22×D79C2×C4⋊C412yes—
233C2×C4×C79—21no—
234C2×C4×C79—21no—
235C2×C4×C79—22no—
236C2×C4×C79—22no—
237C2×C4×C79—22no—
238C2×C4×C79—22no—
239C2×C4×C79—41no—
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—41no—
248C2×C4×C79—41no—
249C2×C4×C79—41no—
250C2×C4×C79—41no—
251C2×C4×C79C2×C4⋊C412yes—
252C2×C4×C79C23×C411yescharacteristic
253C2×C4×C79C22×D411yescharacteristic
254C2×C4×C79C22×Q811yescharacteristic
255C2×C4×C79C2×#4111yescharacteristic
256C2×C4×C79H(5,𝔽2)11yescharacteristic
257C2×C4×C792−1+411yescharacteristic
258C22⋊D79—44no—
259C2×Dic79—21no—
260C2×Dic79—21no—
261C2×Dic79—21no—
262C2×Dic79—21no—
263C2×Dic79—21no—
264C2×Dic79—21no—
265C2×Dic79—22no—
266C2×Dic79—22no—
267C2×Dic79—41no—
268C2×Dic79—41no—
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—84no—
278C2×Dic79C2×C4⋊C412yes—
279C2×Dic79C2×C4⋊C412yes—
280C2×Dic79C2×C4⋊C412yes—
281C4×D79—22no—
282C4×D79—22no—
283C4×D79—22no—
284C4×D79—22no—
285C4×D79—84no—
286C8×C79—22no—
287C8×C79C4×D414yes—
288C79⋊C8—22no—
289C79⋊C8—22no—
290C22×C79—22no—
291C22×C79—22no—
292C22×C79—22no—
293C22×C79—41no—
294C22×C79—41no—
295C22×C79—41no—
296C22×C79—41no—
297C22×C79C22×C4⋊C411yescharacteristic
298C22×C79D4211yescharacteristic
299C22×C79#54711yescharacteristic
300C22×C79#57511yescharacteristic
301C22×C79#57511yescharacteristic
302C22×C79#57711yescharacteristic
303C22×C79#57711yescharacteristic
304C2×D79—22no—
305C2×D79—22no—
306C2×D79—22no—
307C2×D79—41no—
308C2×D79—41no—
309C2×D79—41no—
310C2×D79—41no—
311C4×C79—22no—
312C4×C79—81no—
313C4×C79—81no—
314C4×C79—81no—
315C4×C79—81no—
316C4×C79C2×C4×D411yescharacteristic
317C4×C79#52011yescharacteristic
318C4×C79D4×Q811yescharacteristic
319C4×C79#55411yescharacteristic
320Dic79—22no—
321Dic79—22no—
322Dic79—22no—
323Dic79—42no—
324Dic79—42no—
325Dic79—81no—
326Dic79—81no—
327#22666—791nomaximal, Sylow
328C2×C79—42no—
329C2×C79D4×C4⋊C411yescharacteristic
330C2×C79#291111yescharacteristic
331C2×C79#291211yescharacteristic
332C2×C79#327511yescharacteristic
333C2×C79#327511yescharacteristic
334C2×C79#335111yescharacteristic
335C2×C79#335111yescharacteristic
336D79—42no—
337C2×#436—791no—
338C2×#428—791no—
339C2×#428—791no—
340#2352—791no—
341#2352—791no—
342#1949—791no—
343#1949—791no—
344#1854—791no—
345#1854—791no—
346#1853—791no—
347#1853—791no—
348#1846—791no—
349#1809—791no—
350#1809D7911yescharacteristic, complemented
351C4×#106—791no—
352C79#2266611yescharacteristic, complemented, Sylow
353C22×M16—791no—
354C22×M16C2×D7911yescharacteristic
355C2×C4×D4—791no—
356C2×#117—791no—
357C2×#117—791no—
358C22×C4⋊C4—791no—
359C22×C4⋊C4—791no—
360#436—798no—
361#428—1584no—
362#428—1584no—
363C2×#107—791no—
364C2×#107—791no—
365C2×#107—791no—
366C2×#107C2×D7911yescharacteristic
367C2×#106—791no—
368C2×#106—791no—
369C2×#106—791no—
370C2×#106—791no—
371C2×#106—791no—
372C2×#106C2×D7911yescharacteristic
373C2×C4⋊C8—791no—
374C2×C22⋊C8—791no—
375C2×C22⋊C8—791no—
376C2×C4×C8—791no—
377#388—1581no—
378#388—1581no—
379#387—1581no—
380#387—1581no—
381#386—1581no—
382#386—1581no—
383#382—791no—
384#382—791no—
385#380—791no—
386#380—791no—
387#380C2×D7911yescharacteristic
388#380C2×D7911yescharacteristic
389C4×C4⋊C4—791no—
390C4×C4⋊C4—791no—
391C4×C22⋊C4—1581no—
392C4×C22⋊C4—1581no—
393#340—791no—
394#340—791no—
395#340—791no—
396#340—791no—
397#340C2×D7911yescharacteristic
398#340C2×D7911yescharacteristic
399C22×D4—791no—
400C23×C4—791no—
401C23×C4—1581no—
402C23×C4—1581no—
403C23×C4C22×D7911yescharacteristic
404C2×M16—22no—
405C2×M16—22no—
406C2×M16—794no—
407C2×M16—1582no—
408C2×M16—1582no—
409C2×M16C4×D7914yescomplemented
410C22×C8—791no—
411C22×C8—791no—
412C22×C8C22×D7911yescharacteristic
413C22×C8C22×D7911yescharacteristic
414C4×D4—794no—
415C4×D4—794no—
416#117—3161no—
417#117—3161no—
418#117—1582no—
419#117—1582no—
420C2×C4⋊C4—3161no—
421C2×C4⋊C4—3161no—
422C2×C4⋊C4—791no—
423C2×C4⋊C4—791no—
424C2×C4⋊C4—791no—
425C2×C4⋊C4—791no—
426C2×C4⋊C4—791no—
427C2×C4⋊C4—1582no—
428C2×C4⋊C4—1581no—
429C2×C4⋊C4—1581no—
430C2×C4⋊C4—1582no—
431C2×C4⋊C4C22×D7911yescharacteristic
432C2×C4⋊C4C22×D7911yescharacteristic
433C2×C4⋊C4C22×D7911yescharacteristic
434C2×C4⋊C4C22×D7911yescharacteristic
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—791no—
438C2×C22⋊C4—791no—
439C2×C22⋊C4—1581no—
440C2×C22⋊C4—1581no—
441C2×C22⋊C4—1581no—
442C2×C22⋊C4—1581no—
443C2×C42—791no—
444C2×C42—1581no—
445C2×C42—1581no—
446C2×C42—1581no—
447C2×C42—1581no—
448#107—22no—
449#107—1582no—
450#107—1582no—
451#107—1582no—
452#106—22no—
453#106—3161no—
454#106—3161no—
455#106—794no—
456#106—1582no—
457#106—1582no—
458C4⋊C8—794no—
459C22⋊C8—794no—
460C22⋊C8—794no—
461C4×C8—794no—
462#95—21no—
463#95—21no—
464#95—1581no—
465#95—1581no—
466#95—1581no—
467#95—1581no—
468#95—1581no—
469#95—1581no—
470#95—1581no—
471#95—1581no—
472C24—791no—
473C24D4×D7911yescharacteristic
474C2×D4—3161no—
475C2×D4—3161no—
476C2×D4—794no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—3162no—
486C22×C4—3162no—
487C22×C4—3162no—
488C22×C4—3162no—
489C22×C4—791no—
490C22×C4—791no—
491C22×C4—791no—
492C22×C4—792no—
493C22×C4—792no—
494C22×C4—6321no—
495C22×C4—6321no—
496C22×C4—1581no—
497C22×C4—1581no—
498C22×C4—1581no—
499C22×C4—1581no—
500C22×C4—1581no—
501C22×C4—1581no—
502C22×C4—1581no—
503C22×C4—1581no—
504C22×C4C2×C4×D7912yes—
505C22×C4D4×D7911yescharacteristic
506C22×C4Q8×D7912yes—
507C22×C4C23×D7911yescharacteristic
508M16—28no—
509M16—1588no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—792no—
513C2×C8—792no—
514C2×C8—1581no—
515C2×C8—1581no—
516C2×C8—1581no—
517C2×C8—1581no—
518C2×C8C2×C4×D7912yes—
519C2×C8C2×C4×D7912yes—
520C2×C8D4×D7912yes—
521C2×C8#1192962312yes—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—3162no—
531C4⋊C4—3162no—
532C4⋊C4—794no—
533C4⋊C4—792no—
534C4⋊C4—792no—
535C4⋊C4—1581no—
536C4⋊C4—1581no—
537C4⋊C4—1581no—
538C4⋊C4—1581no—
539C4⋊C4—1581no—
540C4⋊C4—1581no—
541C22⋊C4—42no—
542C22⋊C4—81no—
543C22⋊C4—3162no—
544C22⋊C4—3162no—
545C22⋊C4—3162no—
546C22⋊C4—794no—
547C22⋊C4—794no—
548C22⋊C4—6321no—
549C42—3162no—
550C42—3162no—
551C42—792no—
552C42—792no—
553C42—6321no—
554C42—6321no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—792no—
562C23—1581no—
563C23—1581no—
564C23—1581no—
565C23—1581no—
566C23—1581no—
567C23—1581no—
568C23C4⋊C4×D7912yes—
569C23C2×D4×D7911yescharacteristic
570D4—3164no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—3161no—
590C2×C4—3161no—
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—792no—
600C2×C4—792no—
601C2×C4—792no—
602C2×C4—6324no—
603C2×C4—6324no—
604C2×C4—1582no—
605C2×C4—1582no—
606C2×C4—1581no—
607C2×C4—1581no—
608C2×C4—1581no—
609C2×C4—1581no—
610C2×C4—1581no—
611C2×C4—1581no—
612C2×C4—1582no—
613C2×C4—1582no—
614C2×C4—1582no—
615C2×C4—1582no—
616C2×C4C4⋊C4×D7912yes—
617C2×C4C22×C4×D7911yescharacteristic
618C2×C4C2×D4×D7911yescharacteristic
619C2×C4C2×Q8×D7911yescharacteristic
620C2×C4C2×#1192962311yescharacteristic
621C2×C4#1457920711yescharacteristic
622C2×C4#1457920811yescharacteristic
623C8—22no—
624C8—1582no—
625C8—1582no—
626C8(C22⋊D79)⋊C414yes—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—3161no—
635C22—3161no—
636C22—3161no—
637C22—3161no—
638C22—1582no—
639C22—1582no—
640C22—1582no—
641C22C2×C4⋊C4×D7911yescharacteristic
642C22#1909919711yescharacteristic
643C22#1909921311yescharacteristic
644C22#1909935911yescharacteristic
645C22#1909936211yescharacteristic
646C22#1909937211yescharacteristic
647C22#1909937311yescharacteristic
648C4—22no—
649C4—81no—
650C4—81no—
651C4—81no—
652C4—81no—
653C4—3162no—
654C4—3162no—
655C4—6321no—
656C4—6321no—
657C4—1582no—
658C4—1582no—
659C4—1582no—
660C4C2×(C22⋊D79)⋊C411yescharacteristic
661C4#1909904311yescharacteristic
662C4#1909922611yescharacteristic
663C4#1909927111yescharacteristic
664C2—42no—
665C2—3162no—
666C2#2376629611yescharacteristic
667C2#2377198711yescharacteristic
668C2#2377199411yescharacteristic
669C2#2377502811yescharacteristic
670C2#2377503811yescharacteristic
671C2#2377595511yescharacteristic
672C2#2377596611yescharacteristic
subgroupG/H
centerC23C2×D4×D79
commutatorC2×C4×C79C23×C4
FrattiniC22×C4C23×D79
FittingC79×#1809C2
socleC23×C79C22×D4
prime radicalC22×C22⋊D79D4
cosocleC22×C4×C79C24
hypercenter#1809D79
hypocenterC79#22666
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1809

Complements

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

NH ≅ G/Ntype
2. C2×#19098605C2semidirect
3. C2×#19098604C2semidirect
6. #23764171C2semidirect
7. #23764167C2semidirect
8. #23763602C2semidirect
9. #23763597C2semidirect
10. #23763594C2semidirect
11. #23763592C2semidirect
12. #23763563C2semidirect
13. #23763430C2semidirect
14. #106×Dic79C2semidirect
15. C79×#1809C2semidirect
22. #19098639C4semidirect
68. C2×#11929607C2×C4semidirect
103. #14579093D4semidirect
107. Dic79⋊C8C2×C4semidirect
108. C22⋊(C79⋊C8)C2×C4semidirect
109. (C2×D79)⋊C8C2×C4semidirect
110. C8×Dic79C2×C4semidirect
122. C2×M16×C79C2×C4semidirect
350. #1809D79semidirect
352. C79#22666semidirect
409. C2×M16C4×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190986392
C2×#190986052
C2×#190986042
#237663312
#237663222
#237641712
#237641672
#237636022
#237635972
#237635942
#237635922
#237635632
#237634302
#106×Dic792
C79×#18092
#2266679