Finite Group Databasebeta

← #34348227

Subgroups — #34348227

Order 20224.

924 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19098884C211yesmaximal, characteristic, complemented
2C2×#19098603C211yesmaximal, characteristic, complemented
3#23766349C211yesmaximal, characteristic, complemented
4#23764928C211yesmaximal, characteristic, complemented
5#23764871C211yesmaximal, characteristic, complemented
6#23764831C211yesmaximal, characteristic, complemented
7#23764579C211yesmaximal, characteristic, complemented
8#23764024C211yesmaximal, characteristic, complemented
9#23763975C211yesmaximal, characteristic, complemented
10#23763839C211yesmaximal, characteristic, complemented
11#23763723C211yesmaximal, characteristic, complemented
12#23763698C211yesmaximal, characteristic, complemented
13#23763597C211yesmaximal, characteristic, complemented
14#23763588C211yesmaximal, characteristic, complemented
15C79×#2416C211yesmaximal, characteristic
16C22×#11929608C2211yescharacteristic
17C2×#14579120C2211yescharacteristic
18C2×#14579120C2211yescharacteristic
19#19098884—24no—
20#19098603—24no—
21C2×#14579094C2211yescharacteristic
22C2×#14579094C2211yescharacteristic
23C2×#14579094C2211yescharacteristic
24C2×#14579094C2211yescharacteristic
25C2×#14579092C2211yescharacteristic
26C2×#14579092C2211yescharacteristic
27C2×#14579082C2211yescharacteristic
28C2×#14579082C2211yescharacteristic
29C2×#14579082C2211yescharacteristic
30C2×#14579082C2211yescharacteristic
31C2×C22⋊(C79⋊C8)C2211yescharacteristic
32C2×C22⋊(C79⋊C8)C2211yescharacteristic
33C2×C22⋊(C79⋊C8)C2211yescharacteristic
34#19098466—21no—
35#19098456—21no—
36#19098456—21no—
37#19098433C2211yescharacteristic
38#19098423C2211yescharacteristic
39#19098423C2211yescharacteristic
40C4⋊C4×Dic79—21no—
41C4×C4⋊Dic79C2211yescharacteristic
42#19098325C2211yescharacteristic
43#19098325C2211yescharacteristic
44#19098325C2211yescharacteristic
45#19098325C2211yescharacteristic
46#19098325C2211yescharacteristic
47#19098325C2211yescharacteristic
48#19098318C2211yescharacteristic
49#19098318C2211yescharacteristic
50C2×#121×C79—21no—
51C2×#121×C79C2211yescharacteristic
52C2×#121×C79C2211yescharacteristic
53C2×C4×D4×C79C2211yescharacteristic
54C22×C4⋊C4×C79C2211yescharacteristic
55#396×C79—21no—
56#394×C79—21no—
57#390×C79C2211yescharacteristic
58#389×C79C2211yescharacteristic
59#386×C79—21no—
60#380×C79C2211yescharacteristic
61C2×#11929608—22no—
62C2×#11929608—22no—
63C2×#11929608—22no—
64C22×C79⋊C8C2311yescharacteristic
65C22×C79⋊C8C2311yescharacteristic
66C22×C79⋊C8C2311yescharacteristic
67C22×C79⋊C8C2311yescharacteristic
68#14579120—22no—
69#14579120—22no—
70#14579120—41no—
71#14579120—41no—
72C2×C4⋊Dic79—21no—
73C2×C4⋊Dic79—21no—
74C2×C4⋊Dic79C2311yescharacteristic
75C2×C4⋊Dic79C2311yescharacteristic
76C2×C4⋊Dic79C2311yescharacteristic
77C2×C4⋊Dic79C2311yescharacteristic
78C2×C22⋊Dic79—21no—
79C2×C22⋊Dic79—21no—
80C2×C22⋊Dic79—21no—
81C2×C22⋊Dic79—21no—
82C2×C4×Dic79—21no—
83C2×C4×Dic79—21no—
84C2×C4×Dic79—21no—
85#14579094—22no—
86#14579094—22no—
87#14579094—22no—
88#14579094—41no—
89#14579092—22no—
90#14579092D414yescomplemented
91#14579082—22no—
92#14579082—22no—
93#14579082—22no—
94#14579082—41no—
95C22⋊(C79⋊C8)—22no—
96C22⋊(C79⋊C8)—22no—
97C22⋊(C79⋊C8)—22no—
98C79⋊#95—21no—
99C79⋊#95—21no—
100C79⋊#95—21no—
101C22×D4×C79—21no—
102C22×D4×C79—21no—
103C22×D4×C79D411yescharacteristic
104C22×D4×C79C2311yescharacteristic
105C23×C4×C79—21no—
106C23×C4×C79C2311yescharacteristic
107C23×C4×C79C2311yescharacteristic
108#121×C79—22no—
109#121×C79—22no—
110#121×C79—22no—
111#121×C79—41no—
112#121×C79—44no—
113C4×D4×C79—22no—
114C4×D4×C79—22no—
115C2×C4⋊C4×C79—22no—
116C2×C4⋊C4×C79—21no—
117C2×C4⋊C4×C79—21no—
118C2×C4⋊C4×C79—41no—
119C2×C4⋊C4×C79D411yescharacteristic
120C2×C4⋊C4×C79C2311yescharacteristic
121C2×C4⋊C4×C79C2311yescharacteristic
122C2×C4⋊C4×C79C2311yescharacteristic
123C2×C22⋊C4×C79—21no—
124C2×C22⋊C4×C79—21no—
125C2×C22⋊C4×C79—21no—
126C2×C22⋊C4×C79—21no—
127C2×C22⋊C4×C79—21no—
128C2×C22⋊C4×C79D411yescharacteristic
129C2×C22⋊C4×C79D411yescharacteristic
130C2×C42×C79C2311yescharacteristic
131#95×C79—21no—
132#95×C79—21no—
133C22×Dic79—21no—
134C22×Dic79—21no—
135C22×Dic79—21no—
136C22×Dic79—21no—
137#11929608—28no—
138C2×C79⋊C8—21no—
139C2×C79⋊C8—21no—
140C2×C79⋊C8—21no—
141C2×C79⋊C8—21no—
142C2×C79⋊C8—21no—
143C2×C79⋊C8—21no—
144C2×C79⋊C8—21no—
145C2×C79⋊C8—21no—
146C2×C79⋊C8—21no—
147C2×C79⋊C8—21no—
148C2×C79⋊C8C2×D412yes—
149C2×C79⋊C8#4112yes—
150C4⋊Dic79—21no—
151C4⋊Dic79—21no—
152C4⋊Dic79—21no—
153C4⋊Dic79—21no—
154C4⋊Dic79—21no—
155C4⋊Dic79—21no—
156C4⋊Dic79—21no—
157C4⋊Dic79—42no—
158C4⋊Dic79—81no—
159C4⋊Dic79C2×D412yes—
160C22⋊Dic79—42no—
161C22⋊Dic79—42no—
162C22⋊Dic79—81no—
163C22⋊Dic79—81no—
164C4×Dic79—42no—
165C4×Dic79—42no—
166C4×Dic79—42no—
167C24×C79—21no—
168C24×C79C2×D411yescharacteristic
169C24×C79C2×D411yescharacteristic
170C2×D4×C79—22no—
171C2×D4×C79—22no—
172C2×D4×C79—21no—
173C2×D4×C79—21no—
174C2×D4×C79—21no—
175C2×D4×C79—21no—
176C2×D4×C79—21no—
177C2×D4×C79—21no—
178C2×D4×C79—41no—
179C2×D4×C79—42no—
180C2×D4×C79—42no—
181C2×D4×C79—42no—
182C2×D4×C79—42no—
183C2×D4×C79—42no—
184C2×D4×C79—81no—
185C22×C4×C79—21no—
186C22×C4×C79—21no—
187C22×C4×C79—21no—
188C22×C4×C79—21no—
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×C79—21no—
198C22×C4×C79—42no—
199C22×C4×C79—42no—
200C22×C4×C79—81no—
201C22×C4×C79C2×D411yescharacteristic
202C22×C4×C79C2×D411yescharacteristic
203C22×C4×C79C2×D411yescharacteristic
204C22×C4×C79C2×D411yescharacteristic
205C22×C4×C79#4112yes—
206C22×C4×C79#4112yes—
207C22×C4×C79C2411yescharacteristic
208C4⋊C4×C79—22no—
209C4⋊C4×C79—21no—
210C4⋊C4×C79—21no—
211C4⋊C4×C79—21no—
212C4⋊C4×C79—21no—
213C4⋊C4×C79—21no—
214C4⋊C4×C79—42no—
215C4⋊C4×C79—42no—
216C4⋊C4×C79C2×D412yes—
217C22⋊C4×C79—22no—
218C22⋊C4×C79—22no—
219C22⋊C4×C79—42no—
220C22⋊C4×C79—42no—
221C22⋊C4×C79—42no—
222C22⋊C4×C79—42no—
223C22⋊C4×C79—81no—
224C42×C79—21no—
225C42×C79—21no—
226C23×C79—21no—
227C23×C79—21no—
228C23×C79—21no—
229C23×C79—21no—
230C23×C79—21no—
231C23×C79—21no—
232C23×C79—21no—
233C23×C79—21no—
234C23×C79—21no—
235C23×C79—21no—
236C23×C79—21no—
237C23×C79—21no—
238C23×C79—21no—
239C23×C79—41no—
240C23×C79—41no—
241C23×C79—41no—
242C23×C79—41no—
243C23×C79—41no—
244C23×C79—41no—
245C23×C79—41no—
246C23×C79#12312yes—
247C23×C79C22×D411yescharacteristic
248D4×C79—44no—
249D4×C79—41no—
250D4×C79—41no—
251D4×C79—41no—
252D4×C79—41no—
253D4×C79—84no—
254D4×C79—84no—
255C2×C4×C79—21no—
256C2×C4×C79—21no—
257C2×C4×C79—21no—
258C2×C4×C79—21no—
259C2×C4×C79—22no—
260C2×C4×C79—22no—
261C2×C4×C79—22no—
262C2×C4×C79—22no—
263C2×C4×C79—21no—
264C2×C4×C79—21no—
265C2×C4×C79—21no—
266C2×C4×C79—22no—
267C2×C4×C79—21no—
268C2×C4×C79—21no—
269C2×C4×C79—21no—
270C2×C4×C79—41no—
271C2×C4×C79—41no—
272C2×C4×C79—41no—
273C2×C4×C79—41no—
274C2×C4×C79—41no—
275C2×C4×C79—41no—
276C2×C4×C79—41no—
277C2×C4×C79—41no—
278C2×C4×C79—41no—
279C2×C4×C79—41no—
280C2×C4×C79—41no—
281C2×C4×C79—41no—
282C2×C4×C79—84no—
283C2×C4×C79#12312yes—
284C2×C4×C79AGL(1,ℤ/8)12yes—
285C2×C4×C79C22×D411yescharacteristic
286C2×C4×C79C2×#4111yescharacteristic
287C2×C4×C79C2×#4111yescharacteristic
288C2×C4×C79C2×#4111yescharacteristic
289C2×C4×C79H(5,𝔽2)11yescharacteristic
290C2×C4×C792−1+411yescharacteristic
291C2×Dic79—22no—
292C2×Dic79—41no—
293C2×Dic79—41no—
294C2×Dic79—41no—
295C2×Dic79—41no—
296C2×Dic79—41no—
297C2×Dic79—41no—
298C2×Dic79—41no—
299C2×Dic79—41no—
300C2×Dic79—41no—
301C2×Dic79—41no—
302C2×Dic79—41no—
303C79⋊C8—22no—
304C79⋊C8—22no—
305C79⋊C8—41no—
306C79⋊C8—41no—
307C22×C79—22no—
308C22×C79—22no—
309C22×C79—22no—
310C22×C79—41no—
311C22×C79—41no—
312C22×C79—41no—
313C22×C79—41no—
314C22×C79—41no—
315C22×C79—41no—
316C22×C79—41no—
317C22×C79—41no—
318C22×C79—41no—
319C22×C79—41no—
320C22×C79—41no—
321C22×C79—81no—
322C22×C79—81no—
323C22×C79—81no—
324C22×C79—81no—
325C22×C79—81no—
326C22×C79—81no—
327C22×C79—81no—
328C22×C79C2×#12311yescharacteristic
329C22×C79D4211yescharacteristic
330C22×C79#54711yescharacteristic
331C22×C79C2×AGL(1,ℤ/8)11yescharacteristic
332C22×C79#57511yescharacteristic
333C22×C79#57611yescharacteristic
334C22×C79#57811yescharacteristic
335C4×C79—22no—
336C4×C79—22no—
337C4×C79—41no—
338C4×C79—41no—
339C4×C79—42no—
340C4×C79—81no—
341C4×C79—81no—
342C4×C79#52511yescharacteristic
343C4×C79#53911yescharacteristic
344C4×C79#54811yescharacteristic
345C4×C79#55311yescharacteristic
346Dic79—42no—
347Dic79—81no—
348Dic79—81no—
349Dic79—81no—
350#26157—791nomaximal, Sylow
351C2×C79—42no—
352C2×C79—81no—
353C2×C79—161no—
354C2×C79#244311yescharacteristic
355C2×C79#309411yescharacteristic
356C2×C79#309811yescharacteristic
357C2×C79#326911yescharacteristic
358C2×C79#327411yescharacteristic
359C2×C79#334711yescharacteristic
360C2×C79#335311yescharacteristic
361C2×#482—791no—
362C2×#428—791no—
363#2416D7911yescharacteristic
364#2354—791no—
365#2093—791no—
366#2083—791no—
367#2076—791no—
368#2033—791no—
369#1926—791no—
370#1919—791no—
371#1895—791no—
372#1875—791no—
373#1870—791no—
374#1854—791no—
375#1852—791no—
376C79#2615711yescharacteristic, complemented, Sylow
377C22×M16—791no—
378C2×#121—21no—
379C2×#121C2×D7911yescharacteristic
380C2×#121C2×D7911yescharacteristic
381C2×C4×D4C2×D7911yescharacteristic
382C2×#117—791no—
383C2×#117—791no—
384C22×C4⋊C4C2×D7911yescharacteristic
385#482—1584no—
386#428—1584no—
387C2×#107—791no—
388C2×#107—791no—
389C2×#107—791no—
390C2×#107—791no—
391C2×#106—791no—
392C2×#106—791no—
393C2×#102—791no—
394C2×#102—791no—
395C2×#102—791no—
396C2×#102—791no—
397C2×C22⋊C8—791no—
398C2×C22⋊C8—791no—
399C2×C22⋊C8—791no—
400#396—21no—
401#394—21no—
402#390—1581no—
403#390C2×D7911yescharacteristic
404#389C2×D7911yescharacteristic
405#388—1581no—
406#388—1581no—
407#386—21no—
408#384—791no—
409#380—791no—
410#380—791no—
411#380C2×D7911yescharacteristic
412C4×C4⋊C4—791no—
413C4×C4⋊C4—1581no—
414#340—791no—
415#340—791no—
416#340—791no—
417#340—791no—
418#340—791no—
419#340—791no—
420#336—791no—
421#336—791no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4C22⋊D7911yescharacteristic
425C22×D4C22×D7911yescharacteristic
426C23×C4—21no—
427C23×C4C22×D7911yescharacteristic
428C23×C4C22×D7911yescharacteristic
429C2×M16—1582no—
430C2×M16—1582no—
431C2×M16—1582no—
432C22×C8—791no—
433C22×C8—791no—
434C22×C8—791no—
435C22×C8—791no—
436#121—22no—
437#121—22no—
438#121—22no—
439#121—41no—
440#121—44no—
441C4×D4—22no—
442C4×D4—22no—
443#117—3161no—
444#117—3161no—
445#117—1582no—
446#117—1582no—
447C2×C4⋊C4—22no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—41no—
451C2×C4⋊C4—791no—
452C2×C4⋊C4—791no—
453C2×C4⋊C4—791no—
454C2×C4⋊C4—791no—
455C2×C4⋊C4—1581no—
456C2×C4⋊C4—1581no—
457C2×C4⋊C4C22⋊D7911yescharacteristic
458C2×C4⋊C4C22×D7911yescharacteristic
459C2×C4⋊C4C22×D7911yescharacteristic
460C2×C4⋊C4C22×D7911yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—1581no—
467C2×C22⋊C4—1581no—
468C2×C22⋊C4—1581no—
469C2×C22⋊C4—1581no—
470C2×C22⋊C4C22⋊D7911yescharacteristic
471C2×C22⋊C4C22⋊D7911yescharacteristic
472C2×C42—1581no—
473C2×C42—1581no—
474C2×C42—1581no—
475C2×C42C22×D7911yescharacteristic
476#107—3161no—
477#107—1582no—
478#107—1582no—
479#107—1582no—
480#106—794no—
481#106—1582no—
482#102—3161no—
483#102—1582no—
484#102—1582no—
485#102—1582no—
486C22⋊C8—1582no—
487C22⋊C8—1582no—
488C22⋊C8—1582no—
489#95—21no—
490#95—21no—
491#95—1581no—
492#95—1581no—
493#95—1581no—
494C24—21no—
495C24C2×C22⋊D7911yescharacteristic
496C24C2×C22⋊D7911yescharacteristic
497C2×D4—22no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—22no—
504C2×D4—21no—
505C2×D4—41no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4—42no—
511C2×D4—81no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—81no—
528C22×C4—1581no—
529C22×C4—1581no—
530C22×C4—1581no—
531C22×C4—1581no—
532C22×C4C2×C22⋊D7911yescharacteristic
533C22×C4C2×C22⋊D7911yescharacteristic
534C22×C4C2×C22⋊D7911yescharacteristic
535C22×C4C2×C22⋊D7911yescharacteristic
536C22×C4#1192962312yes—
537C22×C4#1192962312yes—
538C22×C4C23×D7911yescharacteristic
539M16—1588no—
540C2×C8—792no—
541C2×C8—792no—
542C2×C8—1581no—
543C2×C8—1581no—
544C2×C8—1581no—
545C2×C8—1581no—
546C2×C8—1581no—
547C2×C8—1581no—
548C2×C8—1581no—
549C2×C8—1581no—
550C2×C8—1581no—
551C2×C8—1581no—
552C4⋊C4—21no—
553C4⋊C4—22no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—3162no—
561C4⋊C4—792no—
562C4⋊C4—6321no—
563C4⋊C4—1581no—
564C4⋊C4—1581no—
565C4⋊C4—1581no—
566C4⋊C4—1581no—
567C4⋊C4—1581no—
568C4⋊C4—1581no—
569C4⋊C4—1581no—
570C4⋊C4D4×D7912yes—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—42no—
576C22⋊C4—42no—
577C22⋊C4—81no—
578C22⋊C4—3162no—
579C22⋊C4—3162no—
580C22⋊C4—6321no—
581C22⋊C4—6321no—
582C42—21no—
583C42—21no—
584C42—3162no—
585C42—3162no—
586C42—3162no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23#1457914212yes—
608C23C22×C22⋊D7911yescharacteristic
609D4—44no—
610D4—41no—
611D4—41no—
612D4—41no—
613D4—41no—
614D4—84no—
615D4—84no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—84no—
644C2×C4—3161no—
645C2×C4—3161no—
646C2×C4—3161no—
647C2×C4—3161no—
648C2×C4—3161no—
649C2×C4—3161no—
650C2×C4—3161no—
651C2×C4—3161no—
652C2×C4—3161no—
653C2×C4—3161no—
654C2×C4—3161no—
655C2×C4—1582no—
656C2×C4#1457914212yes—
657C2×C4#1457918712yes—
658C2×C4C2×D4×D7911yescharacteristic
659C2×C4#41×D7911yescharacteristic
660C2×C4C2×#1192962311yescharacteristic
661C2×C4C2×#1192962311yescharacteristic
662C2×C4#1457920611yescharacteristic
663C2×C4#1457920811yescharacteristic
664C8—3161no—
665C8—3161no—
666C8—1582no—
667C8—1582no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22C2×#1457914211yescharacteristic
690C22D4×C22⋊D7911yescharacteristic
691C22#1909921211yescharacteristic
692C22C2×#1457918711yescharacteristic
693C22#1909936111yescharacteristic
694C22#1909936611yescharacteristic
695C22#1909937811yescharacteristic
696C4—22no—
697C4—22no—
698C4—42no—
699C4—41no—
700C4—41no—
701C4—81no—
702C4—81no—
703C4—3162no—
704C4—6321no—
705C4—6321no—
706C4—6321no—
707C4#1909907311yescharacteristic
708C4#1909915811yescharacteristic
709C4#1909921911yescharacteristic
710C4#1909925611yescharacteristic
711C2—42no—
712C2—81no—
713C2—161no—
714C2#2376713111yescharacteristic
715C2#2377333611yescharacteristic
716C2#2377337411yescharacteristic
717C2#2377495611yescharacteristic
718C2#2377501611yescharacteristic
719C2#2377589411yescharacteristic
720C2#2377598411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D79
commutator, cosocleC22×C4×C79C24
FrattiniC22×C4C23×D79
Fitting, prime radicalC79×#2416C2
socleC23×C79C22×D4
hypercenter#2416D79
hypocenterC79#26157
LCSG ▷ C22×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2416

Complements

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

NH ≅ G/Ntype
1. C2×#19098884C2semidirect
2. C2×#19098603C2semidirect
3. #23766349C2semidirect
4. #23764928C2semidirect
5. #23764871C2semidirect
6. #23764831C2semidirect
7. #23764579C2semidirect
8. #23764024C2semidirect
9. #23763975C2semidirect
10. #23763839C2semidirect
11. #23763723C2semidirect
12. #23763698C2semidirect
13. #23763597C2semidirect
14. #23763588C2semidirect
90. #14579092D4semidirect
376. C79#26157semidirect

Maximal subgroups

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

subgroupindex
C2×#190988842
C2×#190986032
#237663492
#237649282
#237648712
#237648312
#237645792
#237640242
#237639752
#237638392
#237637232
#237636982
#237635972
#237635882
C79×#24162
#2615779