Finite Group Databasebeta

← #34451484

Subgroups — #34451484

Order 20224.

2486 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
1#23766566C212yesmaximal, complemented
2#23766557C212yesmaximal, complemented
3#23766396C214yesmaximal, complemented
4#23766373C212yesmaximal, complemented
5#23766340C212yesmaximal, complemented
6#23766260C212yesmaximal, complemented
7#23766230C212yesmaximal, complemented
8#23766167C212yesmaximal, complemented
9#23766158C212yesmaximal, complemented
10#23766061C214yesmaximal, complemented
11#23766043C212yesmaximal, complemented
12#23766033C212yesmaximal, complemented
13#23765783C211yesmaximal, characteristic, complemented
14C2×#19098426C211yesmaximal, characteristic, complemented
15C2×#525×C79C211yesmaximal, characteristic
16C2×D4×Dic79C2214yes—
17C2×#14579120C2212yes—
18C22×C22⋊Dic79C2212yes—
19#19098470C2214yescomplemented
20#19098466C2214yes—
21#19098466C2214yes—
22#19098462C2214yescomplemented
23#19098456C2214yes—
24#19098456C2214yes—
25#19098456C2214yes—
26#19098456C2214yes—
27#19098456C2214yescomplemented
28#19098456C2214yescomplemented
29#19098449C2214yescomplemented
30#19098449C2214yescomplemented
31#19098449C2214yescomplemented
32#19098449C2214yescomplemented
33#19098443C2214yes—
34#19098443C2214yes—
35#19098443C2214yes—
36#19098443C2214yescomplemented
37#19098438C2214yes—
38#19098438C2214yescomplemented
39#19098431C2212yescomplemented
40#19098429C2212yescomplemented
41#19098426C2211yescharacteristic
42#19098426C2211yescharacteristic
43#19098426C2212yes—
44#19098426C2212yes—
45#19098426C2212yes—
46#19098426C2212yes—
47#19098426C2212yescomplemented
48#19098423C2212yes—
49#19098423C2212yes—
50#19098423C2212yescomplemented
51#19098419C2212yes—
52C4⋊C4×Dic79C2214yescomplemented
53C4×C4⋊Dic79C2212yescomplemented
54C22⋊C4×Dic79C2214yes—
55C22⋊C4×Dic79C2214yescomplemented
56C4×C22⋊Dic79C2211yescharacteristic
57C4×C22⋊Dic79C2211yescharacteristic
58C4×C22⋊Dic79C2212yes—
59C4×C22⋊Dic79C2212yescomplemented
60#19098409C2212yescomplemented
61C2×C79⋊#95C2212yes—
62C2×C79⋊#95C2212yes—
63C2×C79⋊#95C2212yescomplemented
64C22×#41×C79C2211yescharacteristic
65C24×C4×C79C2211yescharacteristic
66#525×C79C4116yescomplemented
67C2×#123×C79C2212yes—
68C2×C22⋊Q8×C79C2211yescharacteristic
69C2×C22⋊Q8×C79C2211yescharacteristic
70C2×#121×C79C2211yescharacteristic
71C2×#121×C79C2211yescharacteristic
72C2×#120×C79C2212yes—
73C2×C4×D4×C79C2212yes—
74C2×C4×D4×C79C2212yes—
75C2×#117×C79C2211yescharacteristic
76C23×Dic79C2314yes—
77C23×Dic79C2314yes—
78D4×Dic79—48no—
79#14579120—44no—
80C2×C4⋊Dic79C2314yes—
81C2×C4⋊Dic79C2314yes—
82C2×C4⋊Dic79C2314yes—
83C2×C4⋊Dic79C2314yes—
84C2×C22⋊Dic79—44no—
85C2×C22⋊Dic79C2314yes—
86C2×C22⋊Dic79C2312yes—
87C2×C22⋊Dic79C2314yes—
88C2×C22⋊Dic79C2312yes—
89C2×C22⋊Dic79C2314yes—
90C2×C22⋊Dic79C2314yes—
91C2×C22⋊Dic79C2312yes—
92C2×C22⋊Dic79C2314yes—
93C2×C22⋊Dic79C2312yes—
94C2×C22⋊Dic79C2314yes—
95C2×C4×Dic79C2314yes—
96C2×C4×Dic79C2312yes—
97C2×C4×Dic79C2312yes—
98C2×C4×Dic79C2314yes—
99C2×C4×Dic79C2314yes—
100C79⋊#95C2312yes—
101C79⋊#95C2312yes—
102C79⋊#95C2314yes—
103C79⋊#95C2312yes—
104C79⋊#95C2314yes—
105C79⋊#95C2312yes—
106C79⋊#95C2312yes—
107C79⋊#95C2314yes—
108C79⋊#95C2314yes—
109C79⋊#95C2312yes—
110C79⋊#95C2314yes—
111C79⋊#95C2314yes—
112C79⋊#95C2314yes—
113C79⋊#95C2314yes—
114C79⋊#95C2314yes—
115C25×C79C2311yescharacteristic
116C2×#41×C79—44no—
117C2×#41×C79C2×C418yes—
118C22×Q8×C79C2311yescharacteristic
119C22×D4×C79C2312yes—
120C22×D4×C79C2312yes—
121C22×D4×C79C2312yes—
122C22×D4×C79C2311yescharacteristic
123C23×C4×C79—44no—
124C23×C4×C79C2×C418yescomplemented
125C23×C4×C79C2311yescharacteristic
126C23×C4×C79C2311yescharacteristic
127C23×C4×C79C2312yes—
128C23×C4×C79C2311yescharacteristic
129C23×C4×C79C2311yescharacteristic
130C23×C4×C79C2311yescharacteristic
131C23×C4×C79C2311yescharacteristic
132#123×C79C2×C4116yescomplemented
133C22⋊Q8×C79C2×C418yescomplemented
134C22⋊Q8×C79C2×C418yescomplemented
135#121×C79C2×C418yescomplemented
136#121×C79C2×C418yescomplemented
137#120×C79C2×C4116yescomplemented
138C4×D4×C79C2×C4116yescomplemented
139C4×D4×C79C2×C4116yescomplemented
140#117×C79C2×C418yescomplemented
141C2×C4⋊C4×C79C2312yes—
142C2×C4⋊C4×C79C2311yescharacteristic
143C2×C4⋊C4×C79C2311yescharacteristic
144C2×C4⋊C4×C79C2312yes—
145C2×C22⋊C4×C79C2312yes—
146C2×C22⋊C4×C79C2312yes—
147C2×C22⋊C4×C79C2312yes—
148C2×C22⋊C4×C79C2312yes—
149C2×C22⋊C4×C79C2312yes—
150C2×C42×C79C2312yes—
151C22×Dic79—28no—
152C22×Dic79—44no—
153C22×Dic79—44no—
154C22×Dic79—44no—
155C22×Dic79—44no—
156C22×Dic79—44no—
157C22×Dic79C2414yes—
158C22×Dic79C2414yes—
159C22×Dic79C2414yes—
160C22×Dic79C2414yes—
161C4⋊Dic79—44no—
162C4⋊Dic79—44no—
163C4⋊Dic79—44no—
164C4⋊Dic79—44no—
165C22⋊Dic79—28no—
166C22⋊Dic79—42no—
167C22⋊Dic79—44no—
168C22⋊Dic79—42no—
169C22⋊Dic79—44no—
170C22⋊Dic79—44no—
171C22⋊Dic79—42no—
172C22⋊Dic79—42no—
173C22⋊Dic79—44no—
174C22⋊Dic79—44no—
175C4×Dic79—44no—
176C4×Dic79—44no—
177C4×Dic79—42no—
178C4×Dic79—42no—
179C4×Dic79—44no—
180C24×C79—24no—
181C24×C79—42no—
182C24×C79—42no—
183C24×C79C22×C414yes—
184C24×C79C2411yescharacteristic
185C24×C79C2411yescharacteristic
186C24×C79C2412yes—
187C24×C79C2411yescharacteristic
188#41×C79—416no—
189C2×Q8×C79—42no—
190C2×Q8×C79C22×C414yes—
191C2×D4×C79—28no—
192C2×D4×C79—42no—
193C2×D4×C79—44no—
194C2×D4×C79—42no—
195C2×D4×C79—42no—
196C2×D4×C79C22×C418yes—
197C2×D4×C79C22×C418yes—
198C2×D4×C79C22×C418yes—
199C2×D4×C79C22×C414yes—
200C22×C4×C79—24no—
201C22×C4×C79—24no—
202C22×C4×C79—416no—
203C22×C4×C79—42no—
204C22×C4×C79—42no—
205C22×C4×C79—42no—
206C22×C4×C79—42no—
207C22×C4×C79—44no—
208C22×C4×C79C22×C414yes—
209C22×C4×C79C22×C414yes—
210C22×C4×C79C22×C414yes—
211C22×C4×C79C22×C414yes—
212C22×C4×C79C22×C418yes—
213C22×C4×C79C22×C414yes—
214C22×C4×C79C22×C414yes—
215C22×C4×C79C2411yescharacteristic
216C22×C4×C79C2412yes—
217C22×C4×C79C2412yes—
218C22×C4×C79C2411yescharacteristic
219C22×C4×C79C2411yescharacteristic
220C22×C4×C79C2412yes—
221C22×C4×C79C2411yescharacteristic
222C4⋊C4×C79C22×C414yes—
223C4⋊C4×C79C22×C414yes—
224C4⋊C4×C79C22×C418yes—
225C4⋊C4×C79C22×C418yes—
226C22⋊C4×C79C22×C418yes—
227C22⋊C4×C79C22×C418yes—
228C22⋊C4×C79C22×C418yes—
229C22⋊C4×C79C22×C418yes—
230C22⋊C4×C79C22×C418yes—
231C42×C79C22×C418yes—
232C23×C79—22no—
233C23×C79—22no—
234C23×C79—28no—
235C23×C79—22no—
236C23×C79—22no—
237C23×C79—24no—
238C23×C79—22no—
239C23×C79—22no—
240C23×C79—22no—
241C23×C79—24no—
242C23×C79—22no—
243C23×C79—22no—
244C23×C79—22no—
245C23×C79—44no—
246C23×C79—44no—
247C23×C79—416no—
248C23×C79C23×C412yes—
249C23×C79C23×C412yes—
250C23×C79C23×C414yes—
251C23×C79C23×C412yes—
252C23×C79H(5,𝔽2)14yes—
253C23×C79C2511yescharacteristic
254Q8×C79—44no—
255D4×C79—216no—
256D4×C79—48no—
257D4×C79—48no—
258D4×C79—44no—
259C2×C4×C79—28no—
260C2×C4×C79—28no—
261C2×C4×C79—22no—
262C2×C4×C79—24no—
263C2×C4×C79—22no—
264C2×C4×C79—22no—
265C2×C4×C79—22no—
266C2×C4×C79—22no—
267C2×C4×C79—24no—
268C2×C4×C79—22no—
269C2×C4×C79—44no—
270C2×C4×C79—44no—
271C2×C4×C79—44no—
272C2×C4×C79—44no—
273C2×C4×C79—48no—
274C2×C4×C79C23×C412yes—
275C2×C4×C79C23×C414yes—
276C2×C4×C79C23×C414yes—
277C2×C4×C79C23×C412yes—
278C2×C4×C79C23×C412yes—
279C2×C4×C79C23×C414yes—
280C2×C4×C79C23×C412yes—
281C2×Dic79—24no—
282C2×Dic79—24no—
283C2×Dic79—24no—
284C2×Dic79—24no—
285C2×Dic79—24no—
286C2×Dic79—24no—
287C2×Dic79—24no—
288C2×Dic79—24no—
289C2×Dic79—24no—
290C2×Dic79—24no—
291C2×Dic79—24no—
292C2×Dic79—24no—
293C2×Dic79—88no—
294C2×Dic79—88no—
295C22×C79—22no—
296C22×C79—22no—
297C22×C79—28no—
298C22×C79—22no—
299C22×C79—22no—
300C22×C79—24no—
301C22×C79—22no—
302C22×C79—22no—
303C22×C79—24no—
304C22×C79—24no—
305C22×C79—22no—
306C22×C79—22no—
307C22×C79—416no—
308C22×C79—44no—
309C22×C79—44no—
310C22×C79—44no—
311C22×C79—44no—
312C22×C79#51814yes—
313C22×C79C24×C411yescharacteristic
314C22×C79C2×H(5,𝔽2)12yes—
315C22×C79#58512yes—
316C22×C79#58512yes—
317C4×C79—22no—
318C4×C79—22no—
319C4×C79—22no—
320C4×C79—22no—
321C4×C79—24no—
322C4×C79—24no—
323C4×C79—24no—
324Dic79—44no—
325Dic79—44no—
326Dic79—44no—
327Dic79—44no—
328#34396—791nomaximal, Sylow
329C2×C79—24no—
330C2×C79—44no—
331C2×C79—42no—
332C2×C79—42no—
333C2×C79C2×#51811yescharacteristic
334C2×C79#342811yescharacteristic
335C2×C79#342811yescharacteristic
336C2×C79#353314yes—
337C2×#525D7911yescharacteristic
338#2378—792no—
339#2377—792no—
340#2359—794no—
341#2357—792no—
342#2353—792no—
343#2343—792no—
344#2339—792no—
345#2333—792no—
346#2332—792no—
347#2321—794no—
348#2319—792no—
349#2318—792no—
350#2280—791no—
351C2×#381—791no—
352C79#3439611yescharacteristic, complemented, Sylow
353C22×#41C2×D7911yescharacteristic
354C24×C4C2×D7911yescharacteristic
355#525Dic79116yescomplemented
356C2×#123C2×D7912yes—
357C2×C22⋊Q8C2×D7911yescharacteristic
358C2×C22⋊Q8C2×D7911yescharacteristic
359C2×#121C2×D7911yescharacteristic
360C2×#121C2×D7911yescharacteristic
361C2×#120C2×D7912yes—
362C2×C4×D4—794no—
363C2×C4×D4C2×D7912yes—
364C2×C4×D4C2×D7912yes—
365C2×#117—792no—
366C2×#117C2×D7911yescharacteristic
367C22×C22⋊C4—792no—
368#391—794no—
369#390—794no—
370#390—794no—
371#389—794no—
372#388—794no—
373#388—794no—
374#388—794no—
375#388—794no—
376#388—794no—
377#388—794no—
378#387—794no—
379#387—794no—
380#387—794no—
381#387—794no—
382#386—794no—
383#386—794no—
384#386—794no—
385#386—794no—
386#385—794no—
387#385—794no—
388#383—792no—
389#382—792no—
390#381—791no—
391#381—791no—
392#381—792no—
393#381—792no—
394#381—792no—
395#381—792no—
396#381—792no—
397#380—792no—
398#380—792no—
399#380—792no—
400#379—792no—
401C4×C4⋊C4—794no—
402C4×C4⋊C4—792no—
403C4×C22⋊C4—792no—
404C4×C22⋊C4—792no—
405C4×C22⋊C4—791no—
406C4×C22⋊C4—791no—
407C4×C22⋊C4—794no—
408C4×C22⋊C4—794no—
409#376—792no—
410C2×#95—792no—
411C2×#95—792no—
412C2×#95—792no—
413C25C22×D7911yescharacteristic
414C2×#41—44no—
415C2×#41C2×Dic7918yes—
416C22×Q8C22×D7911yescharacteristic
417C22×D4C22×D7912yes—
418C22×D4C22×D7912yes—
419C22×D4C22×D7912yes—
420C22×D4C22×D7911yescharacteristic
421C23×C4—44no—
422C23×C4—794no—
423C23×C4—794no—
424C23×C4C2×Dic7918yescomplemented
425C23×C4C22×D7911yescharacteristic
426C23×C4C22×D7911yescharacteristic
427C23×C4C22×D7911yescharacteristic
428C23×C4C22×D7911yescharacteristic
429C23×C4C22×D7912yes—
430C23×C4C22×D7911yescharacteristic
431C23×C4C22×D7911yescharacteristic
432#123C2×Dic79116yescomplemented
433C22⋊Q8C2×Dic7918yescomplemented
434C22⋊Q8C2×Dic7918yescomplemented
435#121C2×Dic7918yescomplemented
436#121C2×Dic7918yescomplemented
437#120C2×Dic79116yescomplemented
438C4×D4—3168no—
439C4×D4C2×Dic79116yescomplemented
440C4×D4C2×Dic79116yescomplemented
441#117—3164no—
442#117C2×Dic7918yescomplemented
443C2×C4⋊C4—794no—
444C2×C4⋊C4—794no—
445C2×C4⋊C4—794no—
446C2×C4⋊C4—794no—
447C2×C4⋊C4C22×D7911yescharacteristic
448C2×C4⋊C4C22×D7911yescharacteristic
449C2×C4⋊C4C22×D7912yes—
450C2×C4⋊C4C22×D7912yes—
451C2×C22⋊C4—3164no—
452C2×C22⋊C4—792no—
453C2×C22⋊C4—794no—
454C2×C22⋊C4—792no—
455C2×C22⋊C4—794no—
456C2×C22⋊C4—792no—
457C2×C22⋊C4—794no—
458C2×C22⋊C4—792no—
459C2×C22⋊C4—794no—
460C2×C22⋊C4—794no—
461C2×C22⋊C4—794no—
462C2×C22⋊C4C22×D7912yes—
463C2×C22⋊C4C22×D7912yes—
464C2×C22⋊C4C22×D7912yes—
465C2×C22⋊C4C22×D7912yes—
466C2×C22⋊C4C22×D7912yes—
467C2×C42—792no—
468C2×C42—792no—
469C2×C42—794no—
470C2×C42—794no—
471C2×C42—794no—
472C2×C42C22×D7912yes—
473#95—792no—
474#95—792no—
475#95—792no—
476#95—794no—
477#95—792no—
478#95—794no—
479#95—792no—
480#95—794no—
481#95—794no—
482#95—792no—
483#95—794no—
484#95—794no—
485#95—794no—
486#95—794no—
487#95—794no—
488C24—24no—
489C24—42no—
490C24—42no—
491C24C22×Dic7914yes—
492C24C23×D7911yescharacteristic
493C24C23×D7911yescharacteristic
494C24C23×D7912yes—
495C24C23×D7911yescharacteristic
496#41—416no—
497C2×Q8—42no—
498C2×Q8C22×Dic7914yes—
499C2×D4—28no—
500C2×D4—42no—
501C2×D4—42no—
502C2×D4—44no—
503C2×D4—42no—
504C2×D4C22×Dic7918yes—
505C2×D4C22×Dic7918yes—
506C2×D4C22×Dic7918yes—
507C2×D4C22×Dic7914yes—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—416no—
515C22×C4—44no—
516C22×C4—3164no—
517C22×C4—3164no—
518C22×C4—3164no—
519C22×C4—3164no—
520C22×C4—3164no—
521C22×C4—794no—
522C22×C4—794no—
523C22×C4—794no—
524C22×C4—794no—
525C22×C4—1588no—
526C22×C4C22×Dic7914yes—
527C22×C4C22×Dic7914yes—
528C22×C4C22×Dic7914yes—
529C22×C4C22×Dic7914yes—
530C22×C4C22×Dic7918yes—
531C22×C4C22×Dic7914yes—
532C22×C4C22×Dic7914yes—
533C22×C4C23×D7911yescharacteristic
534C22×C4C23×D7911yescharacteristic
535C22×C4C23×D7911yescharacteristic
536C22×C4C23×D7912yes—
537C22×C4C23×D7912yes—
538C22×C4C23×D7912yes—
539C22×C4C23×D7911yescharacteristic
540C4⋊C4—3164no—
541C4⋊C4—3164no—
542C4⋊C4—3164no—
543C4⋊C4—3164no—
544C4⋊C4C22×Dic7914yes—
545C4⋊C4C22×Dic7914yes—
546C4⋊C4C22×Dic7918yes—
547C4⋊C4C22×Dic7918yes—
548C22⋊C4—3162no—
549C22⋊C4—3164no—
550C22⋊C4—3162no—
551C22⋊C4—3164no—
552C22⋊C4—3162no—
553C22⋊C4—3164no—
554C22⋊C4—3162no—
555C22⋊C4—3164no—
556C22⋊C4—3164no—
557C22⋊C4—1588no—
558C22⋊C4C22×Dic7918yes—
559C22⋊C4C22×Dic7918yes—
560C22⋊C4C22×Dic7918yes—
561C22⋊C4C22×Dic7918yes—
562C22⋊C4C22×Dic7918yes—
563C42—3164no—
564C42—3164no—
565C42—3162no—
566C42—3162no—
567C42—3164no—
568C42C22×Dic7918yes—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—24no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—24no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—28no—
582C23—44no—
583C23—44no—
584C23—416no—
585C23C23×Dic7912yes—
586C23C23×Dic7912yes—
587C23C23×Dic7914yes—
588C23C23×Dic7912yes—
589C23#1457920614yes—
590C23C24×D7911yescharacteristic
591Q8—44no—
592D4—216no—
593D4—48no—
594D4—48no—
595D4—44no—
596C2×C4—22no—
597C2×C4—24no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—24no—
603C2×C4—22no—
604C2×C4—28no—
605C2×C4—28no—
606C2×C4—44no—
607C2×C4—44no—
608C2×C4—44no—
609C2×C4—44no—
610C2×C4—48no—
611C2×C4—6328no—
612C2×C4—6328no—
613C2×C4—1584no—
614C2×C4—1584no—
615C2×C4—1584no—
616C2×C4—1584no—
617C2×C4—1584no—
618C2×C4—1584no—
619C2×C4—1584no—
620C2×C4—1584no—
621C2×C4—1584no—
622C2×C4—1584no—
623C2×C4—1584no—
624C2×C4—1584no—
625C2×C4C23×Dic7912yes—
626C2×C4C23×Dic7914yes—
627C2×C4C23×Dic7914yes—
628C2×C4C23×Dic7912yes—
629C2×C4C23×Dic7912yes—
630C2×C4C23×Dic7914yes—
631C2×C4C23×Dic7912yes—
632C22—28no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—24no—
638C22—22no—
639C22—22no—
640C22—24no—
641C22—24no—
642C22—22no—
643C22—22no—
644C22—416no—
645C22—44no—
646C22—44no—
647C22—44no—
648C22—44no—
649C22#1909903814yes—
650C22C24×Dic7911yescharacteristic
651C22C2×#1457920612yes—
652C22#1909939912yes—
653C22#1909939912yes—
654C4—22no—
655C4—22no—
656C4—22no—
657C4—22no—
658C4—24no—
659C4—24no—
660C4—24no—
661C4—3164no—
662C4—3164no—
663C4—3164no—
664C4—3164no—
665C2—24no—
666C2—42no—
667C2—42no—
668C2—44no—
669C2C2×#1909903811yescharacteristic
670C2#2377660311yescharacteristic
671C2#2377660311yescharacteristic
672C2#2377756414yes—
subgroupG/H
center, FrattiniC23C24×D79
commutatorC22×C79C24×C4
Fitting, prime radicalC2×#525×C79C2
socle, cosocleC23×C79C25
hypercenterC2×#525D79
hypocenterC79#34396
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. #23766566C2semidirect
2. #23766557C2semidirect
3. #23766396C2semidirect
4. #23766373C2semidirect
5. #23766340C2semidirect
6. #23766260C2semidirect
7. #23766230C2semidirect
8. #23766167C2semidirect
9. #23766158C2semidirect
10. #23766061C2semidirect
11. #23766043C2semidirect
12. #23766033C2semidirect
13. #23765783C2semidirect
14. C2×#19098426C2semidirect
19. #19098470C22semidirect
22. #19098462C22semidirect
27. #19098456C22semidirect
28. #19098456C22semidirect
29. #19098449C22semidirect
30. #19098449C22semidirect
31. #19098449C22semidirect
32. #19098449C22semidirect
36. #19098443C22semidirect
38. #19098438C22semidirect
39. #19098431C22semidirect
40. #19098429C22semidirect
47. #19098426C22semidirect
50. #19098423C22semidirect
52. C4⋊C4×Dic79C22semidirect
53. C4×C4⋊Dic79C22semidirect
55. C22⋊C4×Dic79C22semidirect
59. C4×C22⋊Dic79C22semidirect
60. #19098409C22semidirect
63. C2×C79⋊#95C22semidirect
66. #525×C79C4semidirect
124. C23×C4×C79C2×C4semidirect
132. #123×C79C2×C4semidirect
133. C22⋊Q8×C79C2×C4semidirect
134. C22⋊Q8×C79C2×C4semidirect
135. #121×C79C2×C4semidirect
136. #121×C79C2×C4semidirect
137. #120×C79C2×C4semidirect
138. C4×D4×C79C2×C4semidirect
139. C4×D4×C79C2×C4semidirect
140. #117×C79C2×C4semidirect
352. C79#34396semidirect
355. #525Dic79semidirect
424. C23×C4C2×Dic79semidirect
432. #123C2×Dic79semidirect
433. C22⋊Q8C2×Dic79semidirect
434. C22⋊Q8C2×Dic79semidirect
435. #121C2×Dic79semidirect
436. #121C2×Dic79semidirect
437. #120C2×Dic79semidirect
439. C4×D4C2×Dic79semidirect
440. C4×D4C2×Dic79semidirect
442. #117C2×Dic79semidirect

Maximal subgroups

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

subgroupindex
#237665662
#237665572
#237663962
#237663732
#237663402
#237662602
#237662302
#237661672
#237661582
#237660612
#237660432
#237660332
#237657832
C2×#190984262
C2×#525×C792
#3439679