Finite Group Databasebeta

← #34306501

Subgroups — #34306501

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×#19098638C211yesmaximal, characteristic
2C2×#19098604C211yesmaximal, characteristic, complemented
3C2×#19098603C211yesmaximal, characteristic, complemented
4#23766344C211yesmaximal, characteristic
5C4⋊C4×C22⋊D79C211yesmaximal, characteristic
6#23764162C211yesmaximal, characteristic, complemented
7#23764155C211yesmaximal, characteristic, complemented
8#23763601C211yesmaximal, characteristic, complemented
9#23763596C211yesmaximal, characteristic, complemented
10#23763589C211yesmaximal, characteristic, complemented
11#23763558C211yesmaximal, characteristic, complemented
12#23763432C211yesmaximal, characteristic, complemented
13#23763431C211yesmaximal, characteristic, complemented
14#23763288C211yesmaximal, characteristic, complemented
15C79×#1852C211yesmaximal, characteristic, complemented
16C22×#11929608C2211yescharacteristic
17C22×#11929607C2211yescharacteristic
18C2×C4×C22⋊D79—21no—
19C2×C4×C22⋊D79C2211yescharacteristic
20C2×#14579120C2211yescharacteristic
21C2×#14579119C2211yescharacteristic
22C2×C4⋊C4×D79C2211yescharacteristic
23#19098638C418yescomplemented
24#19098604—24no—
25#19098603—24no—
26C2×#14579095C2211yescharacteristic
27C2×#14579094C2211yescharacteristic
28C2×#14579094C2211yescharacteristic
29C2×#14579094C2211yescharacteristic
30C2×#14579093C2211yescharacteristic
31C2×#14579092C2211yescharacteristic
32C2×#14579092C2211yescharacteristic
33C2×#14579092C2211yescharacteristic
34C2×Dic79⋊C8C2211yescharacteristic
35C2×(C2×D79)⋊C8C2211yescharacteristic
36C2×C8×Dic79C2211yescharacteristic
37#19098463—21no—
38#19098458—21no—
39#19098457—21no—
40#19098452—21no—
41#19098436—21no—
42#19098434—21no—
43#19098432C2211yescharacteristic
44#19098432C2211yescharacteristic
45#19098423C2211yescharacteristic
46#19098420C2211yescharacteristic
47#19098420C2211yescharacteristic
48C4⋊C4×Dic79C2211yescharacteristic
49C4⋊C4×Dic79C2211yescharacteristic
50#19098414—21no—
51#19098326C2211yescharacteristic
52#19098326C2211yescharacteristic
53#19098325C2211yescharacteristic
54#19098325C2211yescharacteristic
55C22×C4⋊C4×C79C2211yescharacteristic
56C2×#107×C79C2211yescharacteristic
57C2×#107×C79C2211yescharacteristic
58C2×C22⋊C8×C79C2211yescharacteristic
59#380×C79C2211yescharacteristic
60#340×C79C2211yescharacteristic
61#340×C79C2211yescharacteristic
62C22×C22⋊D79D411yescharacteristic
63C22×C4×D79—21no—
64C22×C4×D79C2311yescharacteristic
65C2×#11929608—22no—
66C2×#11929608—22no—
67C2×#11929608C2×C414yescomplemented
68C2×#11929607—22no—
69C2×#11929607—22no—
70C2×#11929607C2×C414yescomplemented
71C22×C79⋊C8C2311yescharacteristic
72C22×C79⋊C8C2311yescharacteristic
73C4×C22⋊D79—44no—
74C4×C22⋊D79C2×C414yes—
75C4×C22⋊D79Q814yes—
76#14579120—22no—
77#14579120—41no—
78#14579119—22no—
79#14579119—41no—
80C2×C4⋊Dic79C2311yescharacteristic
81C2×C4⋊Dic79C2311yescharacteristic
82C2×C4⋊Dic79C2311yescharacteristic
83C2×C4⋊Dic79C2311yescharacteristic
84C2×Dic79⋊C4—21no—
85C2×Dic79⋊C4—21no—
86C2×Dic79⋊C4—21no—
87C2×Dic79⋊C4—21no—
88C2×Dic79⋊C4—21no—
89C2×Dic79⋊C4D411yescharacteristic
90C4⋊C4×D79—22no—
91C4⋊C4×D79—41no—
92C2×C22⋊Dic79—21no—
93C2×C22⋊Dic79—21no—
94C2×C22⋊Dic79D411yescharacteristic
95C2×(C2×D79)⋊C4—21no—
96C2×(C2×D79)⋊C4—21no—
97C2×(C2×D79)⋊C4—21no—
98C2×(C2×D79)⋊C4D411yescharacteristic
99C2×C4×Dic79—21no—
100C2×C4×Dic79—21no—
101C2×C4×Dic79—21no—
102C2×C4×Dic79—21no—
103C2×C4×Dic79C2311yescharacteristic
104#14579095—41no—
105#14579094—22no—
106#14579094—22no—
107#14579094—22no—
108#14579093—22no—
109#14579092—22no—
110#14579092—22no—
111#14579092D414yescomplemented
112Dic79⋊C8C2×C414yescomplemented
113(C2×D79)⋊C8C2×C414yescomplemented
114C8×Dic79C2×C414yescomplemented
115C79⋊#95—21no—
116C79⋊#95—21no—
117C79⋊#95—21no—
118C79⋊#95—21no—
119C79⋊#95—21no—
120C23×C4×C79—21no—
121C23×C4×C79C2311yescharacteristic
122C22×C8×C79C2311yescharacteristic
123C22×C8×C79C2311yescharacteristic
124C2×C4⋊C4×C79—22no—
125C2×C4⋊C4×C79—21no—
126C2×C4⋊C4×C79—41no—
127C2×C4⋊C4×C79C2311yescharacteristic
128C2×C4⋊C4×C79C2311yescharacteristic
129C2×C4⋊C4×C79C2311yescharacteristic
130C2×C4⋊C4×C79C2311yescharacteristic
131C2×C22⋊C4×C79—21no—
132#107×C79—22no—
133#107×C79—41no—
134C22⋊C8×C79C2×C414yescomplemented
135#95×C79—21no—
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#11929608—28no—
157#11929607—28no—
158C2×C79⋊C8—21no—
159C2×C79⋊C8—21no—
160C2×C79⋊C8C22×C412yes—
161C2×C79⋊C8C22×C412yes—
162C2×C79⋊C8C2×D412yes—
163C2×C79⋊C8#4112yes—
164C4⋊Dic79—21no—
165C4⋊Dic79—21no—
166C4⋊Dic79—21no—
167C4⋊Dic79—21no—
168C4⋊Dic79—21no—
169C4⋊Dic79—21no—
170C4⋊Dic79—21no—
171C4⋊Dic79C2×D412yes—
172Dic79⋊C4—42no—
173Dic79⋊C4—42no—
174Dic79⋊C4—42no—
175Dic79⋊C4—81no—
176Dic79⋊C4—81no—
177Dic79⋊C4C4⋊C414yes—
178C22⋊Dic79—42no—
179C22⋊Dic79—42no—
180C22⋊Dic79C4⋊C414yes—
181(C2×D79)⋊C4—42no—
182(C2×D79)⋊C4—42no—
183(C2×D79)⋊C4—81no—
184(C2×D79)⋊C4C4⋊C414yes—
185C4×Dic79—42no—
186C4×Dic79—42no—
187C4×Dic79—42no—
188C4×Dic79—42no—
189C4×Dic79C22×C412yes—
190C4×Dic79C2×Q812yes—
191C24×C79C2×D411yescharacteristic
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—21no—
199C22×C4×C79—21no—
200C22×C4×C79—42no—
201C22×C4×C79—42no—
202C22×C4×C79—81no—
203C22×C4×C79C22×C412yes—
204C22×C4×C79C2×D411yescharacteristic
205C22×C4×C79C2×Q812yes—
206C22×C4×C79C2411yescharacteristic
207C2×C8×C79—21no—
208C2×C8×C79—21no—
209C2×C8×C79—21no—
210C2×C8×C79—21no—
211C2×C8×C79C22×C412yes—
212C2×C8×C79C22×C412yes—
213C4⋊C4×C79—21no—
214C4⋊C4×C79—21no—
215C4⋊C4×C79—21no—
216C4⋊C4×C79—21no—
217C4⋊C4×C79—21no—
218C4⋊C4×C79—21no—
219C4⋊C4×C79—21no—
220C4⋊C4×C79—42no—
221C4⋊C4×C79C2×D412yes—
222C22⋊C4×C79—81no—
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—41no—
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—22no—
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×C79—22no—
293C79⋊C8—22no—
294C79⋊C8C4×D414yescomplemented
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#57611yescharacteristic
308C22×C79#57811yescharacteristic
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—81no—
319C4×C79—81no—
320C4×C79—81no—
321C4×C79C2×C4×D411yescharacteristic
322C4×C79#52011yescharacteristic
323C4×C79D4×Q811yescharacteristic
324C4×C79#55411yescharacteristic
325Dic79—22no—
326Dic79—22no—
327Dic79—42no—
328Dic79—81no—
329Dic79—81no—
330Dic79—81no—
331Dic79#42814yescomplemented
332#22665—791nomaximal, Sylow
333C2×C79—42no—
334C2×C79D4×C4⋊C411yescharacteristic
335C2×C79C2×#42811yescharacteristic
336C2×C79#291311yescharacteristic
337C2×C79#327411yescharacteristic
338C2×C79#327611yescharacteristic
339C2×C79#335311yescharacteristic
340C2×C79#335711yescharacteristic
341D79—42no—
342C2×#436—791no—
343C2×#428—791no—
344C2×#428—791no—
345#2354—791no—
346D4×C4⋊C4—791no—
347#1948—791no—
348#1947—791no—
349#1854—791no—
350#1854—791no—
351#1852—791no—
352#1852D7911yescharacteristic, complemented
353#1845—791no—
354#1809—791no—
355#1809—791no—
356C4×#106—791no—
357C79#2266511yescharacteristic, complemented, Sylow
358C22×M16—791no—
359C22×M16—791no—
360C2×C4×D4—791no—
361C2×C4×D4—1581no—
362C2×#117—791no—
363C2×#117—791no—
364C22×C4⋊C4—791no—
365C22×C4⋊C4C2×D7911yescharacteristic
366#436—798no—
367#428—1584no—
368#428—1584no—
369C2×#107—791no—
370C2×#107—791no—
371C2×#107—791no—
372C2×#107—791no—
373C2×#107C2×D7911yescharacteristic
374C2×#107C2×D7911yescharacteristic
375C2×#106—791no—
376C2×#106—791no—
377C2×#106—791no—
378C2×#106—791no—
379C2×C4⋊C8—791no—
380C2×C22⋊C8—791no—
381C2×C22⋊C8C2×D7911yescharacteristic
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#380C2×D7911yescharacteristic
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#340C2×D7911yescharacteristic
403#340C2×D7911yescharacteristic
404C22×D4—791no—
405C23×C4—21no—
406C23×C4—791no—
407C23×C4—1581no—
408C23×C4C22×D7911yescharacteristic
409C2×M16—794no—
410C2×M16—794no—
411C2×M16—1582no—
412C2×M16—1582no—
413C2×M16—1582no—
414C2×M16—1582no—
415C22×C8—791no—
416C22×C8—791no—
417C22×C8C22×D7911yescharacteristic
418C22×C8C22×D7911yescharacteristic
419C4×D4—3164no—
420C4×D4—794no—
421C4×D4—794no—
422#117—3161no—
423#117—3161no—
424#117—1582no—
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—791no—
454C2×C42—1581no—
455C2×C42—1581no—
456C2×C42—1581no—
457C2×C42—1581no—
458#107—22no—
459#107—41no—
460#107—3161no—
461#107—1582no—
462#107—1582no—
463#107—1582no—
464#106—794no—
465#106—1582no—
466#106—1582no—
467#106—1582no—
468C4⋊C8—794no—
469C22⋊C8—794no—
470C22⋊C8C4×D7914yescomplemented
471C4×C8—794no—
472#95—21no—
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—1588no—
515M16—1588no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—792no—
521C2×C8—792no—
522C2×C8—792no—
523C2×C8—792no—
524C2×C8—1581no—
525C2×C8—1581no—
526C2×C8C2×C4×D7912yes—
527C2×C8C2×C4×D7912yes—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—42no—
536C4⋊C4—3162no—
537C4⋊C4—3162no—
538C4⋊C4—3162no—
539C4⋊C4—794no—
540C4⋊C4—792no—
541C4⋊C4—6321no—
542C4⋊C4—6321no—
543C4⋊C4—1581no—
544C4⋊C4—1581no—
545C4⋊C4—1581no—
546C4⋊C4—1581no—
547C4⋊C4—1581no—
548C4⋊C4—1581no—
549C4⋊C4—1581no—
550C4⋊C4D4×D7912yes—
551C22⋊C4—81no—
552C22⋊C4—3162no—
553C22⋊C4—3162no—
554C22⋊C4—3162no—
555C22⋊C4—3162no—
556C22⋊C4—794no—
557C22⋊C4—794no—
558C22⋊C4—6321no—
559C42—3162no—
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—41no—
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—792no—
612C2×C4—792no—
613C2×C4—792no—
614C2×C4—792no—
615C2×C4—792no—
616C2×C4—6324no—
617C2×C4—1582no—
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×C4C2×D4×D7911yescharacteristic
629C2×C4C2×Q8×D7911yescharacteristic
630C2×C4#41×D7911yescharacteristic
631C2×C4#1457920611yescharacteristic
632C2×C4#1457920811yescharacteristic
633C8—22no—
634C8—22no—
635C8—794no—
636C8—1582no—
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
652C22#1909919511yescharacteristic
653C22#1909921111yescharacteristic
654C22AGL(1,ℤ/8)×D7911yescharacteristic
655C22#137×D7911yescharacteristic
656C22#1909936411yescharacteristic
657C22#1909937611yescharacteristic
658C4—22no—
659C4—42no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—3162no—
664C4—794no—
665C4—6321no—
666C4—6321no—
667C4—6321no—
668C4—1582no—
669C4—1582no—
670C4C4×D4×D7911yescharacteristic
671C4#1909904211yescharacteristic
672C4#1909922611yescharacteristic
673C4#1909926711yescharacteristic
674C2—42no—
675C2—3162no—
676C2#2376629811yescharacteristic
677C2#428×D7911yescharacteristic
678C2#2377199611yescharacteristic
679C2#2377501811yescharacteristic
680C2#2377503911yescharacteristic
681C2#2377597711yescharacteristic
682C2#2377601911yescharacteristic
subgroupG/H
centerC23C2×D4×D79
commutatorC2×C4×C79C23×C4
FrattiniC22×C4C23×D79
FittingC79×#1852C2
socleC23×C79C22×D4
prime radicalC22×C22⋊D79D4
cosocleC22×C4×C79C24
hypercenter#1852D79
hypocenterC79#22665
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1852

Complements

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

NH ≅ G/Ntype
2. C2×#19098604C2semidirect
3. C2×#19098603C2semidirect
6. #23764162C2semidirect
7. #23764155C2semidirect
8. #23763601C2semidirect
9. #23763596C2semidirect
10. #23763589C2semidirect
11. #23763558C2semidirect
12. #23763432C2semidirect
13. #23763431C2semidirect
14. #23763288C2semidirect
15. C79×#1852C2semidirect
23. #19098638C4semidirect
67. C2×#11929608C2×C4semidirect
70. C2×#11929607C2×C4semidirect
111. #14579092D4semidirect
112. Dic79⋊C8C2×C4semidirect
113. (C2×D79)⋊C8C2×C4semidirect
114. C8×Dic79C2×C4semidirect
134. C22⋊C8×C79C2×C4semidirect
294. C79⋊C8C4×D4semidirect
331. Dic79#428semidirect
352. #1852D79semidirect
357. C79#22665semidirect
470. C22⋊C8C4×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190986382
C2×#190986042
C2×#190986032
#237663442
C4⋊C4×C22⋊D792
#237641622
#237641552
#237636012
#237635962
#237635892
#237635582
#237634322
#237634312
#237632882
C79×#18522
#2266579