Finite Group Databasebeta

← #34451042

Subgroups — #34451042

Order 20224.

2714 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099075C211yesmaximal, characteristic
2#23766546C214yesmaximal, complemented
3#23766378C214yesmaximal, complemented
4#23766332C212yesmaximal, complemented
5#23766326C212yesmaximal, complemented
6C4⋊C4×D316C212yesmaximal, complemented
7#23766300C212yesmaximal, complemented
8#23766129C214yesmaximal, complemented
9#23766099C214yesmaximal, complemented
10#23766009C211yesmaximal, characteristic, complemented
11#23765989C212yesmaximal, complemented
12#380×D79C212yesmaximal, complemented
13C79×#2314C211yesmaximal, characteristic, complemented
14C22×#11929624C2211yescharacteristic
15C23×C4×D79C2211yescharacteristic
16#19099075C4116yescomplemented
17C2×#14579145C2212yes—
18C2×#14579141C2212yes—
19C2×#14579136C2212yes—
20C2×#14579131C2212yes—
21C2×C4×D316C2214yes—
22C2×C4×D316C2212yes—
23C2×C4×D316C2212yes—
24C2×#14579123C2214yes—
25C2×#14579119C2212yescomplemented
26C2×C4⋊C4×D79C2212yes—
27C2×C4⋊C4×D79C2212yes—
28C2×C4⋊C4×D79C2212yescomplemented
29C2×C22⋊C4×D79C2214yes—
30#19098467C2214yescomplemented
31#19098463C2214yes—
32#19098461C2214yescomplemented
33#19098459C2214yescomplemented
34#19098456C2214yes—
35#19098454C2214yescomplemented
36#19098452C2214yescomplemented
37#19098449C2214yescomplemented
38#19098448C2214yescomplemented
39#19098446C2214yescomplemented
40#19098441C2214yes—
41#19098441C2214yes—
42#19098441C2214yescomplemented
43#19098439C2214yes—
44#19098437C2214yes—
45#19098437C2214yescomplemented
46#19098434C2214yes—
47#19098434C2214yescomplemented
48#19098433C2211yescharacteristic, complemented
49#19098429C2211yescharacteristic, complemented
50#19098423C2212yes—
51#19098422C2214yes—
52#19098421C2214yes—
53#19098420C2212yes—
54#19098420C2212yes—
55#19098420C2212yescomplemented
56#19098420C2212yescomplemented
57C4×C4⋊Dic79C2212yescomplemented
58C4×(C2×D79)⋊C4C2214yes—
59#19098410C2214yes—
60#95×D79C2214yes—
61C2×#117×C79C2211yescharacteristic
62#388×C79C2214yes—
63#387×C79C2214yescomplemented
64#384×C79C2211yescharacteristic, complemented
65#382×C79C2211yescharacteristic, complemented
66#380×C79C2212yes—
67C4×C4⋊C4×C79C2212yescomplemented
68C24×D79C2311yescharacteristic
69C2×#11929624—42no—
70C2×#11929624—42no—
71C2×#11929624C2×C418yescomplemented
72C22×Dic158C2311yescharacteristic
73C22×D316C2312yes—
74C22×D316C2312yes—
75C22×D316C2311yescharacteristic
76C22×C22⋊D79C2312yes—
77C23×Dic79C2311yescharacteristic
78C22×C4×D79—42no—
79C22×C4×D79—42no—
80C22×C4×D79C2×C418yescomplemented
81C22×C4×D79C2312yes—
82C22×C4×D79C2312yes—
83C22×C4×D79C2314yes—
84C22×C4×D79C2314yes—
85C22×C4×D79C2314yes—
86C22×C4×D79C2312yes—
87#14579145C2×C4116yescomplemented
88#14579141C2×C4116yescomplemented
89#14579136C2×C4116yescomplemented
90#14579131C2×C4116yescomplemented
91C4×D316—48no—
92C4×D316C2×C4116yescomplemented
93C4×D316C2×C4116yescomplemented
94#14579123—48no—
95#14579119—44no—
96C2×C4⋊Dic79C2312yes—
97C2×C4⋊Dic79C2312yes—
98C2×C4⋊Dic79C2314yes—
99C2×C4⋊Dic79C2312yes—
100C2×C4⋊Dic79C2312yes—
101C2×Dic79⋊C4C2314yes—
102C2×Dic79⋊C4C2314yes—
103C2×Dic79⋊C4C2314yes—
104C4⋊C4×D79—44no—
105C4⋊C4×D79—44no—
106C4⋊C4×D79—44no—
107C2×C22⋊Dic79C2314yes—
108C2×(C2×D79)⋊C4C2314yes—
109C2×(C2×D79)⋊C4C2314yes—
110C2×(C2×D79)⋊C4C2314yes—
111C2×(C2×D79)⋊C4C2314yes—
112C2×(C2×D79)⋊C4C2314yes—
113C2×(C2×D79)⋊C4C2312yes—
114C2×(C2×D79)⋊C4C2312yes—
115C2×(C2×D79)⋊C4C2312yes—
116C2×(C2×D79)⋊C4C2312yes—
117C22⋊C4×D79—48no—
118C2×C4×Dic79C2314yes—
119C2×C4×Dic79C2314yes—
120C79⋊#95C2314yes—
121C79⋊#95C2314yes—
122C79⋊#95C2314yes—
123C79⋊#95C2314yes—
124C79⋊#95C2314yes—
125C79⋊#95C2314yes—
126C79⋊#95C2314yes—
127C23×C4×C79C2311yescharacteristic
128#117×C79C2×C418yescomplemented
129C2×C4⋊C4×C79C2312yes—
130C2×C4⋊C4×C79C2312yes—
131C2×C4⋊C4×C79C2314yes—
132C2×C4⋊C4×C79C2312yes—
133C2×C22⋊C4×C79C2314yes—
134C2×C22⋊C4×C79C2312yes—
135C2×C42×C79C2314yes—
136C2×C42×C79C2311yescharacteristic
137C2×C42×C79C2311yescharacteristic
138#95×C79C2314yes—
139#95×C79C2314yes—
140#95×C79C2314yes—
141C23×D79—24no—
142C23×D79—24no—
143C23×D79—41no—
144C23×D79—41no—
145C23×D79C22×C414yes—
146C23×D79C2412yes—
147C23×D79C2412yes—
148#11929624—416no—
149C2×Dic158—41no—
150C2×Dic158—41no—
151C2×Dic158C22×C414yes—
152C2×D316—24no—
153C2×D316—24no—
154C2×D316—24no—
155C2×D316—24no—
156C2×D316—41no—
157C2×D316—41no—
158C2×D316C22×C418yes—
159C2×D316C22×C418yes—
160C2×D316C22×C414yes—
161C2×C22⋊D79—42no—
162C2×C22⋊D79—42no—
163C2×C22⋊D79C22×C418yes—
164C22×Dic79—41no—
165C22×Dic79—41no—
166C22×Dic79C22×C414yes—
167C22×Dic79C2414yes—
168C22×Dic79C2414yes—
169C22×Dic79C2412yes—
170C22×Dic79C2412yes—
171C2×C4×D79—28no—
172C2×C4×D79—28no—
173C2×C4×D79—24no—
174C2×C4×D79—24no—
175C2×C4×D79—24no—
176C2×C4×D79—24no—
177C2×C4×D79—42no—
178C2×C4×D79—42no—
179C2×C4×D79—44no—
180C2×C4×D79—44no—
181C2×C4×D79—44no—
182C2×C4×D79—44no—
183C2×C4×D79—44no—
184C2×C4×D79—44no—
185C2×C4×D79—44no—
186C2×C4×D79—416no—
187C2×C4×D79C22×C418yes—
188C2×C4×D79C22×C418yes—
189C2×C4×D79C22×C418yes—
190C4⋊Dic79—24no—
191C4⋊Dic79—24no—
192C4⋊Dic79—44no—
193C4⋊Dic79C22×C418yes—
194C4⋊Dic79C22×C418yes—
195Dic79⋊C4—44no—
196Dic79⋊C4—44no—
197Dic79⋊C4—44no—
198C22⋊Dic79—44no—
199(C2×D79)⋊C4—28no—
200(C2×D79)⋊C4—28no—
201(C2×D79)⋊C4—44no—
202(C2×D79)⋊C4—44no—
203(C2×D79)⋊C4—44no—
204(C2×D79)⋊C4C22×C418yes—
205(C2×D79)⋊C4C22×C418yes—
206(C2×D79)⋊C4C22×C418yes—
207(C2×D79)⋊C4C22×C418yes—
208C4×Dic79—44no—
209C4×Dic79—44no—
210C24×C79C2411yescharacteristic
211C22×C4×C79—22no—
212C22×C4×C79—22no—
213C22×C4×C79C22×C414yes—
214C22×C4×C79C2414yes—
215C22×C4×C79C2414yes—
216C22×C4×C79C2411yescharacteristic
217C22×C4×C79C2412yes—
218C22×C4×C79C2412yes—
219C22×C4×C79C2411yescharacteristic
220C4⋊C4×C79—24no—
221C4⋊C4×C79—24no—
222C4⋊C4×C79—44no—
223C4⋊C4×C79C22×C418yes—
224C22⋊C4×C79—44no—
225C22⋊C4×C79C22×C418yes—
226C42×C79—44no—
227C42×C79C22×C414yes—
228C42×C79C22×C414yes—
229C23×C79—22no—
230C23×C79—21no—
231C23×C79—21no—
232C23×C79—22no—
233C23×C79C23×C412yes—
234C23×C79C2511yescharacteristic
235C22×D79—22no—
236C22×D79—22no—
237C22×D79—22no—
238C22×D79—22no—
239C22×D79—22no—
240C22×D79—22no—
241C22×D79—22no—
242C22×D79—22no—
243C22×D79—22no—
244C22×D79—22no—
245C22×D79—216no—
246C22×D79—44no—
247C22×D79—48no—
248C22×D79—44no—
249C22×D79—44no—
250C22×D79C23×C414yes—
251C22×D79C23×C414yes—
252C22×D79H(5,𝔽2)14yes—
253C22×D792−1+414yes—
254C2×C4×C79—22no—
255C2×C4×C79—22no—
256C2×C4×C79—21no—
257C2×C4×C79—21no—
258C2×C4×C79—22no—
259C2×C4×C79—22no—
260C2×C4×C79—28no—
261C2×C4×C79—24no—
262C2×C4×C79—24no—
263C2×C4×C79—24no—
264C2×C4×C79—24no—
265C2×C4×C79—24no—
266C2×C4×C79—24no—
267C2×C4×C79C23×C414yes—
268C2×C4×C79C23×C414yes—
269C2×C4×C79C23×C412yes—
270C2×C4×C79C23×C412yes—
271C2×C4×C79H(5,𝔽2)12yes—
272C2×C4×C79H(5,𝔽2)12yes—
273C22⋊D79—48no—
274C2×Dic79—22no—
275C2×Dic79—22no—
276C2×Dic79—22no—
277C2×Dic79—22no—
278C2×Dic79—24no—
279C2×Dic79—24no—
280C2×Dic79—24no—
281C2×Dic79—24no—
282C2×Dic79—24no—
283C2×Dic79—24no—
284C2×Dic79—44no—
285C2×Dic79C23×C414yes—
286C2×Dic79C23×C414yes—
287D316—216no—
288D316—216no—
289D316—44no—
290C4×D79—216no—
291C4×D79—216no—
292C4×D79—48no—
293C4×D79—88no—
294C4×D79—88no—
295C4×D79—88no—
296Dic158—44no—
297C22×C79—22no—
298C22×C79—24no—
299C22×C79—42no—
300C22×C79—41no—
301C22×C79—41no—
302C22×C79C24×C411yescharacteristic
303C22×C79C2×H(5,𝔽2)12yes—
304C22×C79C2×H(5,𝔽2)11yescharacteristic
305C22×C79C2×H(5,𝔽2)11yescharacteristic
306C22×C79C2×2−1+412yes—
307C2×D79—24no—
308C2×D79—24no—
309C2×D79—24no—
310C2×D79—24no—
311C2×D79—24no—
312C2×D79—24no—
313C2×D79—24no—
314C2×D79—24no—
315C2×D79—24no—
316C2×D79—416no—
317C2×D79—42no—
318C2×D79—42no—
319C2×D79—42no—
320C2×D79—42no—
321C2×D79#52018yes—
322C4×C79—22no—
323C4×C79—24no—
324C4×C79—24no—
325C4×C79—44no—
326C4×C79—44no—
327C4×C79#51814yes—
328Dic79—24no—
329Dic79—24no—
330Dic79—44no—
331Dic79—44no—
332#34360—791nomaximal, Sylow
333C2×C79—42no—
334C2×C79C2×#51811yescharacteristic
335C2×C79C2×#52012yes—
336C2×C79#353612yes—
337C2×C79#353711yescharacteristic
338C2×C79#353811yescharacteristic
339D79—28no—
340D79—44no—
341C2×#525—791no—
342#2376—794no—
343#2358—794no—
344#2352—792no—
345#2352—792no—
346D4×C4⋊C4—792no—
347D4×C4⋊C4—792no—
348#2329—794no—
349#2325—794no—
350#2314—791no—
351#2314D7911yescharacteristic, complemented
352#2311—792no—
353C2×#380—792no—
354C79#3436011yescharacteristic, complemented, Sylow
355C22×#41—791no—
356C24×C4—791no—
357#525—7916no—
358C2×#123—792no—
359C2×C22⋊Q8—792no—
360C2×#121—792no—
361C2×#120—792no—
362C2×C4×D4—794no—
363C2×C4×D4—794no—
364C2×C4×D4—792no—
365C2×C4×D4—792no—
366C2×#117—792no—
367C2×#117C2×D7911yescharacteristic
368C22×C4⋊C4—792no—
369C22×C4⋊C4—792no—
370C22×C4⋊C4—792no—
371C22×C22⋊C4—794no—
372#391—794no—
373#390—794no—
374#389—794no—
375#389—794no—
376#388—794no—
377#388—794no—
378#388—794no—
379#388C2×D7914yes—
380#387—794no—
381#387—794no—
382#387—794no—
383#387C2×D7914yescomplemented
384#386—794no—
385#386—794no—
386#386—794no—
387#386—794no—
388#385—794no—
389#385—794no—
390#385—794no—
391#385—794no—
392#384—791no—
393#384C2×D7911yescharacteristic, complemented
394#382—791no—
395#382C2×D7911yescharacteristic, complemented
396#380—792no—
397#380—792no—
398#380—792no—
399#380—792no—
400#380—792no—
401#380—794no—
402#380—794no—
403#380C2×D7912yes—
404C4×C4⋊C4—792no—
405C4×C4⋊C4C2×D7912yescomplemented
406C4×C22⋊C4—794no—
407C4×C22⋊C4—794no—
408C2×#95—794no—
409C25—791no—
410C2×#41—3162no—
411C2×#41—3162no—
412C2×#41—798no—
413C22×Q8—791no—
414C22×D4—792no—
415C22×D4—791no—
416C22×D4—792no—
417C22×D4—792no—
418C23×C4—3162no—
419C23×C4—3162no—
420C23×C4—794no—
421C23×C4—791no—
422C23×C4—798no—
423C23×C4—792no—
424C23×C4—794no—
425C23×C4—794no—
426C23×C4—792no—
427C23×C4—792no—
428C23×C4C22×D7911yescharacteristic
429#123—7916no—
430C22⋊Q8—7916no—
431#121—7916no—
432#120—7916no—
433C4×D4—3168no—
434C4×D4—3168no—
435C4×D4—7916no—
436C4×D4—7916no—
437#117—3164no—
438#117C4×D7918yescomplemented
439C2×C4⋊C4—3164no—
440C2×C4⋊C4—3164no—
441C2×C4⋊C4—3164no—
442C2×C4⋊C4—794no—
443C2×C4⋊C4—794no—
444C2×C4⋊C4—794no—
445C2×C4⋊C4—794no—
446C2×C4⋊C4—792no—
447C2×C4⋊C4—792no—
448C2×C4⋊C4—792no—
449C2×C4⋊C4—792no—
450C2×C4⋊C4C22×D7912yes—
451C2×C4⋊C4C22×D7912yes—
452C2×C4⋊C4C22×D7914yes—
453C2×C4⋊C4C22×D7912yes—
454C2×C22⋊C4—3168no—
455C2×C22⋊C4—794no—
456C2×C22⋊C4—794no—
457C2×C22⋊C4—794no—
458C2×C22⋊C4—794no—
459C2×C22⋊C4—792no—
460C2×C22⋊C4—792no—
461C2×C22⋊C4—792no—
462C2×C22⋊C4—792no—
463C2×C22⋊C4—794no—
464C2×C22⋊C4—794no—
465C2×C22⋊C4C22×D7914yes—
466C2×C22⋊C4C22×D7912yes—
467C2×C42—794no—
468C2×C42—794no—
469C2×C42C22×D7914yes—
470C2×C42C22×D7911yescharacteristic
471C2×C42C22×D7911yescharacteristic
472#95—794no—
473#95—794no—
474#95—794no—
475#95—794no—
476#95—794no—
477#95—794no—
478#95—794no—
479#95C22×D7914yes—
480#95C22×D7914yes—
481#95C22×D7914yes—
482C24—3161no—
483C24—3161no—
484C24—794no—
485C24—792no—
486C24—792no—
487C24—1584no—
488C24—1584no—
489C24C23×D7911yescharacteristic
490#41—31616no—
491C2×Q8—3161no—
492C2×Q8—3161no—
493C2×Q8—794no—
494C2×D4—3161no—
495C2×D4—3161no—
496C2×D4—3162no—
497C2×D4—3162no—
498C2×D4—798no—
499C2×D4—794no—
500C2×D4—798no—
501C2×D4—798no—
502C2×D4—1584no—
503C2×D4—1584no—
504C2×D4—1584no—
505C2×D4—1584no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—3162no—
509C22×C4—3162no—
510C22×C4—31616no—
511C22×C4—3164no—
512C22×C4—3164no—
513C22×C4—3164no—
514C22×C4—3164no—
515C22×C4—3164no—
516C22×C4—3164no—
517C22×C4—3164no—
518C22×C4—3161no—
519C22×C4—3161no—
520C22×C4—794no—
521C22×C4—798no—
522C22×C4—792no—
523C22×C4—792no—
524C22×C4—798no—
525C22×C4—798no—
526C22×C4—794no—
527C22×C4—794no—
528C22×C4—1588no—
529C22×C4—1588no—
530C22×C4—1584no—
531C22×C4—1584no—
532C22×C4—1584no—
533C22×C4—1584no—
534C22×C4C2×C4×D7914yes—
535C22×C4C23×D7914yes—
536C22×C4C23×D7914yes—
537C22×C4C23×D7911yescharacteristic
538C22×C4C23×D7912yes—
539C22×C4C23×D7912yes—
540C22×C4C23×D7911yescharacteristic
541C4⋊C4—24no—
542C4⋊C4—24no—
543C4⋊C4—44no—
544C4⋊C4—3164no—
545C4⋊C4—3164no—
546C4⋊C4—3164no—
547C4⋊C4—3164no—
548C4⋊C4—798no—
549C4⋊C4—798no—
550C4⋊C4—1584no—
551C4⋊C4—1584no—
552C4⋊C4C2×C4×D7918yes—
553C22⋊C4—44no—
554C22⋊C4—3164no—
555C22⋊C4—3164no—
556C22⋊C4—3164no—
557C22⋊C4—3164no—
558C22⋊C4—798no—
559C22⋊C4—798no—
560C22⋊C4—798no—
561C22⋊C4—798no—
562C22⋊C4—1588no—
563C22⋊C4—1588no—
564C22⋊C4C2×C4×D7918yes—
565C42—44no—
566C42—3164no—
567C42—3164no—
568C42C2×C4×D7914yes—
569C42C2×C4×D7914yes—
570C23—22no—
571C23—21no—
572C23—21no—
573C23—22no—
574C23—3164no—
575C23—3168no—
576C23—3164no—
577C23—3164no—
578C23—794no—
579C23—794no—
580C23—794no—
581C23—794no—
582C23—15816no—
583C23—1582no—
584C23—1582no—
585C23—1582no—
586C23—1582no—
587C23—1582no—
588C23—1582no—
589C23—1582no—
590C23—1582no—
591C23—1582no—
592C23—1582no—
593C23C22×C4×D7912yes—
594C23C24×D7911yescharacteristic
595Q8—3164no—
596D4—3164no—
597D4—3168no—
598D4—15816no—
599D4—15816no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—28no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—3168no—
614C2×C4—3164no—
615C2×C4—794no—
616C2×C4—794no—
617C2×C4—6328no—
618C2×C4—6328no—
619C2×C4—6328no—
620C2×C4—1584no—
621C2×C4—1584no—
622C2×C4—1584no—
623C2×C4—1584no—
624C2×C4—1584no—
625C2×C4—1584no—
626C2×C4—1582no—
627C2×C4—1582no—
628C2×C4—1582no—
629C2×C4—1582no—
630C2×C4—15816no—
631C2×C4—15816no—
632C2×C4C22×C4×D7914yes—
633C2×C4C22×C4×D7914yes—
634C2×C4C22×C4×D7912yes—
635C2×C4C22×C4×D7912yes—
636C2×C4#1457920712yes—
637C2×C4#1457920712yes—
638C22—22no—
639C22—24no—
640C22—42no—
641C22—41no—
642C22—41no—
643C22—31616no—
644C22—3162no—
645C22—3162no—
646C22—3162no—
647C22—3162no—
648C22—798no—
649C22—1584no—
650C22—1584no—
651C22—1584no—
652C22—1584no—
653C22—1584no—
654C22—1584no—
655C22—1584no—
656C22—1584no—
657C22—1584no—
658C22C23×C4×D7911yescharacteristic
659C22H(5,𝔽2)×D7912yes—
660C22C2×#1457920711yescharacteristic
661C22C2×#1457920711yescharacteristic
662C222−1+4×D7912yes—
663C4—22no—
664C4—24no—
665C4—24no—
666C4—44no—
667C4—44no—
668C4—3164no—
669C4—3164no—
670C4—1584no—
671C4—1584no—
672C4#1909903714yes—
673C2—42no—
674C2—3164no—
675C2—1588no—
676C2C2×#1909903711yescharacteristic
677C2#520×D7912yes—
678C2#2377762512yes—
679C2#2377763811yescharacteristic
680C2#2377764811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutatorC22×C79C24×C4
FittingC79×#2314C2
socle, cosocleC23×C79C25
prime radicalC2×#19099075C2
hypercenter#2314D79
hypocenterC79#34360
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2314

Complements

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

NH ≅ G/Ntype
2. #23766546C2semidirect
3. #23766378C2semidirect
4. #23766332C2semidirect
5. #23766326C2semidirect
6. C4⋊C4×D316C2semidirect
7. #23766300C2semidirect
8. #23766129C2semidirect
9. #23766099C2semidirect
10. #23766009C2semidirect
11. #23765989C2semidirect
12. #380×D79C2semidirect
13. C79×#2314C2semidirect
16. #19099075C4semidirect
25. C2×#14579119C22semidirect
28. C2×C4⋊C4×D79C22semidirect
30. #19098467C22semidirect
32. #19098461C22semidirect
33. #19098459C22semidirect
35. #19098454C22semidirect
36. #19098452C22semidirect
37. #19098449C22semidirect
38. #19098448C22semidirect
39. #19098446C22semidirect
42. #19098441C22semidirect
45. #19098437C22semidirect
47. #19098434C22semidirect
48. #19098433C22semidirect
49. #19098429C22semidirect
55. #19098420C22semidirect
56. #19098420C22semidirect
57. C4×C4⋊Dic79C22semidirect
63. #387×C79C22semidirect
64. #384×C79C22semidirect
65. #382×C79C22semidirect
67. C4×C4⋊C4×C79C22semidirect
71. C2×#11929624C2×C4semidirect
80. C22×C4×D79C2×C4semidirect
87. #14579145C2×C4semidirect
88. #14579141C2×C4semidirect
89. #14579136C2×C4semidirect
90. #14579131C2×C4semidirect
92. C4×D316C2×C4semidirect
93. C4×D316C2×C4semidirect
128. #117×C79C2×C4semidirect
351. #2314D79semidirect
354. C79#34360semidirect
383. #387C2×D79semidirect
393. #384C2×D79semidirect
395. #382C2×D79semidirect
405. C4×C4⋊C4C2×D79semidirect
438. #117C4×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190990752
#237665462
#237663782
#237663322
#237663262
C4⋊C4×D3162
#237663002
#237661292
#237660992
#237660092
#237659892
#380×D792
C79×#23142
#3436079