Finite Group Databasebeta

← #34294683

Subgroups — #34294683

Order 20224.

1044 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19098763C211yesmaximal, characteristic
2C2×#19098661C211yesmaximal, characteristic, complemented
3C2×C4×#11929611C211yesmaximal, characteristic, complemented
4#23766125C211yesmaximal, characteristic
5#23764327C211yesmaximal, characteristic
6#23764168C211yesmaximal, characteristic, complemented
7#23764027C211yesmaximal, characteristic, complemented
8#23764020C211yesmaximal, characteristic, complemented
9#23763755C211yesmaximal, characteristic, complemented
10#23763755C211yesmaximal, characteristic, complemented
11#23763415C211yesmaximal, characteristic, complemented
12#23763257C211yesmaximal, characteristic, complemented
13#23763228C211yesmaximal, characteristic, complemented
14C4×#14579081C211yesmaximal, characteristic, complemented
15C79×#2276C211yesmaximal, characteristic, complemented
16C22×#11929611C2211yescharacteristic
17C22×#11929611C2211yescharacteristic
18C2×#14579158C2211yescharacteristic
19C2×C4×D316C2211yescharacteristic
20C2×C4×D316C2211yescharacteristic
21#19098763C418yescomplemented
22#19098661—24no—
23C4×#11929611—24no—
24C2×#14579094C2211yescharacteristic
25C2×#14579092C2211yescharacteristic
26C2×C4⋊(C79⋊C8)C2211yescharacteristic
27C2×C4⋊(C79⋊C8)C2211yescharacteristic
28C2×#14579085C2211yescharacteristic
29C2×#14579085C2211yescharacteristic
30C2×#14579081C2211yescharacteristic
31C2×#14579081C2211yescharacteristic
32C2×#14579081C2211yescharacteristic
33C2×#14579081C2211yescharacteristic
34C2×#14579081C2211yescharacteristic
35C2×#14579081C2211yescharacteristic
36C2×#14579072C2211yescharacteristic
37C2×C4×C79⋊C8C2211yescharacteristic
38#19098465C2211yescharacteristic
39#19098465C2211yescharacteristic
40#19098441—21no—
41#19098441—21no—
42#19098441—21no—
43#19098441—21no—
44#19098429C2211yescharacteristic
45#19098325C2211yescharacteristic
46#19098325C2211yescharacteristic
47#19098325C2211yescharacteristic
48#19098325C2211yescharacteristic
49#19098318C2211yescharacteristic
50#19098318C2211yescharacteristic
51C2×C4×Q8×C79C2211yescharacteristic
52C2×C4×Q8×C79C2211yescharacteristic
53C2×C4×Q8×C79C2211yescharacteristic
54C4×C4⋊C4×C79—21no—
55C4×C4⋊C4×C79—21no—
56C4×C4⋊C4×C79—21no—
57C4×C4⋊C4×C79C2211yescharacteristic
58C4×C4⋊C4×C79C2211yescharacteristic
59C4×C4⋊C4×C79C2211yescharacteristic
60#376×C79—21no—
61#376×C79C2211yescharacteristic
62C22×D316—21no—
63C22×D316—21no—
64C22×D316C2311yescharacteristic
65C22×D316C2311yescharacteristic
66C22×C4×D79—21no—
67C22×C4×D79—21no—
68C2×#11929611—22no—
69C2×#11929611—22no—
70C2×#11929611—22no—
71C2×#11929611—22no—
72C2×#11929611C2×C414yescomplemented
73C2×#11929611C2×C414yescomplemented
74C22×C79⋊C8C2311yescharacteristic
75C22×C79⋊C8C2311yescharacteristic
76C22×C79⋊C8C2311yescharacteristic
77C22×C79⋊C8C2311yescharacteristic
78#14579158—22no—
79#14579158C2×C414yes—
80C4×D316—22no—
81C4×D316—22no—
82C4×D316—22no—
83C4×D316—22no—
84C2×C4⋊Dic79C2311yescharacteristic
85C2×C4⋊Dic79C2311yescharacteristic
86C2×(C2×D79)⋊C4—21no—
87C2×(C2×D79)⋊C4—21no—
88C2×(C2×D79)⋊C4—21no—
89C2×(C2×D79)⋊C4—21no—
90C2×(C2×D79)⋊C4—21no—
91C2×(C2×D79)⋊C4—21no—
92#14579094—22no—
93#14579092—22no—
94C4⋊(C79⋊C8)—22no—
95C4⋊(C79⋊C8)C2×C414yescomplemented
96#14579085—22no—
97#14579085—22no—
98#14579081—22no—
99#14579081—22no—
100#14579081—22no—
101#14579081—22no—
102#14579081C2×C414yescomplemented
103#14579081C2×C414yescomplemented
104#14579072—22no—
105C4×C79⋊C8—22no—
106C79⋊#95—21no—
107C79⋊#95—21no—
108C22×Q8×C79C2311yescharacteristic
109C4×Q8×C79—22no—
110C4×Q8×C79—22no—
111C4×Q8×C79—22no—
112C4×Q8×C79—22no—
113C4×Q8×C79C2×C414yescomplemented
114C4×Q8×C79D414yescomplemented
115C2×C4⋊C4×C79—21no—
116C2×C4⋊C4×C79—21no—
117C2×C4⋊C4×C79—21no—
118C2×C4⋊C4×C79C2311yescharacteristic
119C2×C4⋊C4×C79C2311yescharacteristic
120C2×C4⋊C4×C79C2311yescharacteristic
121C2×C42×C79—21no—
122C2×C42×C79—21no—
123C2×C42×C79—21no—
124C2×C42×C79—21no—
125C2×C42×C79—21no—
126C2×C42×C79—21no—
127C2×C42×C79C2311yescharacteristic
128C2×C42×C79C2311yescharacteristic
129C2×C42×C79C2311yescharacteristic
130#95×C79—21no—
131#95×C79—21no—
132#95×C79—21no—
133#95×C79D411yescharacteristic
134#95×C79D411yescharacteristic
135#95×C79D411yescharacteristic
136#95×C79D411yescharacteristic
137C23×D79—21no—
138C23×D79—21no—
139C2×D316—24no—
140C2×D316—24no—
141C2×D316—21no—
142C2×D316—21no—
143C2×D316—21no—
144C2×D316—21no—
145C2×D316—21no—
146C2×D316—21no—
147C2×D316—21no—
148C2×D316—21no—
149C2×D316—21no—
150C2×D316—21no—
151C2×D316—81no—
152C2×D316—81no—
153C2×D316—81no—
154C2×D316—81no—
155C2×D316C22×C412yes—
156C2×D316C22×C412yes—
157C22×Dic79—21no—
158C22×Dic79—21no—
159C2×C4×D79—42no—
160C2×C4×D79—42no—
161C2×C4×D79—81no—
162C2×C4×D79—81no—
163C2×C4×D79—81no—
164C2×C4×D79—81no—
165#11929611—28no—
166#11929611—28no—
167C2×C79⋊C8—21no—
168C2×C79⋊C8—21no—
169C2×C79⋊C8—21no—
170C2×C79⋊C8—21no—
171C2×C79⋊C8—21no—
172C2×C79⋊C8—21no—
173C2×C79⋊C8—21no—
174C2×C79⋊C8—21no—
175C2×C79⋊C8—21no—
176C2×C79⋊C8—21no—
177C2×C79⋊C8C22×C412yes—
178C2×C79⋊C8C22×C412yes—
179C4⋊Dic79—21no—
180C4⋊Dic79—21no—
181C4⋊Dic79—21no—
182C4⋊Dic79—21no—
183(C2×D79)⋊C4—42no—
184(C2×D79)⋊C4—42no—
185(C2×D79)⋊C4—81no—
186(C2×D79)⋊C4—81no—
187(C2×D79)⋊C4—81no—
188(C2×D79)⋊C4—81no—
189C2×Q8×C79—21no—
190C2×Q8×C79—21no—
191C2×Q8×C79—21no—
192C2×Q8×C79C22×C412yes—
193C2×Q8×C79C2×D412yes—
194C2×Q8×C79#4112yes—
195C22×C4×C79—21no—
196C22×C4×C79—21no—
197C22×C4×C79—21no—
198C22×C4×C79—21no—
199C22×C4×C79C2×D411yescharacteristic
200C22×C4×C79C2×D411yescharacteristic
201C22×C4×C79C2×D411yescharacteristic
202C22×C4×C79C2×D411yescharacteristic
203C22×C4×C79C2×D411yescharacteristic
204C22×C4×C79C2×D411yescharacteristic
205C22×C4×C79C2411yescharacteristic
206C4⋊C4×C79—24no—
207C4⋊C4×C79—24no—
208C4⋊C4×C79—24no—
209C4⋊C4×C79—21no—
210C4⋊C4×C79—21no—
211C4⋊C4×C79—21no—
212C4⋊C4×C79C22×C412yes—
213C4⋊C4×C79C2×D412yes—
214C4⋊C4×C79#4112yes—
215C42×C79—24no—
216C42×C79—24no—
217C42×C79—24no—
218C42×C79—21no—
219C42×C79—21no—
220C42×C79—81no—
221C42×C79—81no—
222C42×C79—81no—
223C42×C79C22×C412yes—
224C42×C79C2×D412yes—
225C42×C79#4112yes—
226C42×C79#4112yes—
227C23×C79C22×D411yescharacteristic
228C22×D79—22no—
229C22×D79—22no—
230C22×D79—41no—
231C22×D79—41no—
232C22×D79—41no—
233C22×D79—41no—
234C22×D79—41no—
235C22×D79—41no—
236C22×D79—41no—
237C22×D79—41no—
238C22×D79—41no—
239C22×D79—41no—
240C22×D79—41no—
241C22×D79—41no—
242Q8×C79—22no—
243Q8×C79—22no—
244Q8×C79—22no—
245Q8×C79C4×D414yes—
246C2×C4×C79—22no—
247C2×C4×C79—22no—
248C2×C4×C79—22no—
249C2×C4×C79—21no—
250C2×C4×C79—21no—
251C2×C4×C79—21no—
252C2×C4×C79—21no—
253C2×C4×C79—21no—
254C2×C4×C79—21no—
255C2×C4×C79—21no—
256C2×C4×C79—21no—
257C2×C4×C79—22no—
258C2×C4×C79—22no—
259C2×C4×C79—21no—
260C2×C4×C79—21no—
261C2×C4×C79—22no—
262C2×C4×C79—21no—
263C2×C4×C79—21no—
264C2×C4×C79—21no—
265C2×C4×C79—21no—
266C2×C4×C79—41no—
267C2×C4×C79—41no—
268C2×C4×C79—41no—
269C2×C4×C79—41no—
270C2×C4×C79—41no—
271C2×C4×C79—41no—
272C2×C4×C79C4×D412yes—
273C2×C4×C79C4×D412yes—
274C2×C4×C79#12112yes—
275C2×C4×C79#12112yes—
276C2×C4×C79C23×C411yescharacteristic
277C2×C4×C79C22×D411yescharacteristic
278C2×C4×C79C2×#4111yescharacteristic
279C2×C4×C79C2×#4111yescharacteristic
280C2×C4×C79C2×#4111yescharacteristic
281C2×C4×C79C2×#4111yescharacteristic
282C2×Dic79—41no—
283C2×Dic79—41no—
284C2×Dic79—41no—
285C2×Dic79—41no—
286C2×Dic79—41no—
287C2×Dic79—41no—
288D316—22no—
289D316—22no—
290D316—22no—
291D316—22no—
292D316—41no—
293D316—41no—
294D316—41no—
295D316—41no—
296D316—84no—
297D316—84no—
298C4×D79—84no—
299C4×D79—84no—
300C79⋊C8—22no—
301C79⋊C8—22no—
302C79⋊C8—41no—
303C79⋊C8—41no—
304C22×C79C2×C4×D411yescharacteristic
305C22×C79C2×#12111yescharacteristic
306C22×C79#52511yescharacteristic
307C22×C79#57611yescharacteristic
308C22×C79#57711yescharacteristic
309C22×C79#57711yescharacteristic
310C22×C79#57711yescharacteristic
311C2×D79—42no—
312C2×D79—42no—
313C2×D79—42no—
314C2×D79—42no—
315C2×D79—42no—
316C2×D79—42no—
317C2×D79—81no—
318C2×D79—81no—
319C2×D79—81no—
320C2×D79—81no—
321C2×D79—81no—
322C2×D79—81no—
323C2×D79—81no—
324C2×D79—81no—
325C4×C79—22no—
326C4×C79—22no—
327C4×C79—22no—
328C4×C79—22no—
329C4×C79—24no—
330C4×C79—41no—
331C4×C79—42no—
332C4×C79—41no—
333C4×C79—42no—
334C4×C79—42no—
335C4×C79C2×C4×D411yescharacteristic
336C4×C79C4×#4111yescharacteristic
337C4×C79#52911yescharacteristic
338C4×C79#53211yescharacteristic
339Dic79—81no—
340Dic79—81no—
341#21515—791nomaximal, Sylow
342C2×C79C4×#12111yescharacteristic
343C2×C79#294611yescharacteristic
344C2×C79#294911yescharacteristic
345C2×C79#304311yescharacteristic
346C2×C79#304511yescharacteristic
347C2×C79#311911yescharacteristic
348C2×C79#312611yescharacteristic
349D79—82no—
350D79—82no—
351C2×#460—791no—
352C2×#440—791no—
353C2×C4×SD16—791no—
354#2328—791no—
355#2276D7911yescharacteristic, complemented
356#1982—791no—
357#1949—791no—
358#1926—791no—
359#1925—791no—
360#1880—791no—
361#1880—791no—
362#1805—791no—
363#1768—791no—
364#1762—791no—
365C4×#102—791no—
366C79#2151511yescharacteristic, complemented, Sylow
367C22×SD16—791no—
368C22×SD16—791no—
369C2×#127—791no—
370C2×C4×Q8C2×D7911yescharacteristic
371C2×C4×Q8C2×D7911yescharacteristic
372C2×C4×Q8C2×D7911yescharacteristic
373C2×C4×D4—791no—
374C2×C4×D4—791no—
375#460—798no—
376#440—1584no—
377C4×SD16—1584no—
378C2×#107—791no—
379C2×#106—791no—
380C2×C4⋊C8—791no—
381C2×C4⋊C8—791no—
382C2×#103—791no—
383C2×#103—791no—
384C2×#102—791no—
385C2×#102—791no—
386C2×#102—791no—
387C2×#102—791no—
388C2×#102—791no—
389C2×#102—791no—
390C2×#97—791no—
391C2×C4×C8—791no—
392#390—791no—
393#390—791no—
394#386—1581no—
395#386—1581no—
396#386—1581no—
397#386—1581no—
398#382—791no—
399C4×C4⋊C4—21no—
400C4×C4⋊C4—21no—
401C4×C4⋊C4—21no—
402C4×C4⋊C4C2×D7911yescharacteristic
403C4×C4⋊C4C2×D7911yescharacteristic
404C4×C4⋊C4C2×D7911yescharacteristic
405#376—21no—
406#376C2×D7911yescharacteristic
407#340—791no—
408#340—791no—
409#340—791no—
410#340—791no—
411#336—791no—
412#336—791no—
413C22×Q8C22×D7911yescharacteristic
414C22×D4—791no—
415C22×D4—791no—
416C22×D4—1581no—
417C22×D4—1581no—
418C23×C4—1581no—
419C23×C4—1581no—
420C2×SD16—794no—
421C2×SD16—794no—
422C2×SD16—1582no—
423C2×SD16—1582no—
424C2×SD16—1582no—
425C2×SD16—1582no—
426C22×C8—791no—
427C22×C8—791no—
428C22×C8—791no—
429C22×C8—791no—
430#127—794no—
431#127—1582no—
432C4×Q8—22no—
433C4×Q8—22no—
434C4×Q8—22no—
435C4×Q8—22no—
436C4×Q8C4×D7914yescomplemented
437C4×Q8D31614yescomplemented
438C4×D4—1582no—
439C4×D4—1582no—
440C4×D4—1582no—
441C4×D4—1582no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—791no—
446C2×C4⋊C4—791no—
447C2×C4⋊C4C22×D7911yescharacteristic
448C2×C4⋊C4C22×D7911yescharacteristic
449C2×C4⋊C4C22×D7911yescharacteristic
450C2×C22⋊C4—1581no—
451C2×C22⋊C4—1581no—
452C2×C22⋊C4—1581no—
453C2×C22⋊C4—1581no—
454C2×C22⋊C4—1581no—
455C2×C22⋊C4—1581no—
456C2×C42—21no—
457C2×C42—21no—
458C2×C42—21no—
459C2×C42—21no—
460C2×C42—21no—
461C2×C42—21no—
462C2×C42C22×D7911yescharacteristic
463C2×C42C22×D7911yescharacteristic
464C2×C42C22×D7911yescharacteristic
465#107—1582no—
466#106—1582no—
467C4⋊C8—794no—
468C4⋊C8—1582no—
469#103—1582no—
470#103—1582no—
471#102—794no—
472#102—794no—
473#102—1582no—
474#102—1582no—
475#102—1582no—
476#102—1582no—
477#97—1582no—
478C4×C8—1582no—
479#95—21no—
480#95—21no—
481#95—21no—
482#95—1581no—
483#95—1581no—
484#95C22⋊D7911yescharacteristic
485#95C22⋊D7911yescharacteristic
486#95C22⋊D7911yescharacteristic
487#95C22⋊D7911yescharacteristic
488C24—1581no—
489C24—1581no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8C2×C4×D7912yes—
494C2×Q8C2×D31612yes—
495C2×Q8#1192962412yes—
496C2×D4—792no—
497C2×D4—792no—
498C2×D4—6321no—
499C2×D4—6321no—
500C2×D4—6321no—
501C2×D4—6321no—
502C2×D4—1581no—
503C2×D4—1581no—
504C2×D4—1581no—
505C2×D4—1581no—
506C2×D4—1581no—
507C2×D4—1581no—
508C2×D4—1581no—
509C2×D4—1581no—
510C2×D4—1584no—
511C2×D4—1584no—
512C2×D4—1581no—
513C2×D4—1581no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—3162no—
519C22×C4—3162no—
520C22×C4—6321no—
521C22×C4—6321no—
522C22×C4—6321no—
523C22×C4—6321no—
524C22×C4—1581no—
525C22×C4—1581no—
526C22×C4C2×C22⋊D7911yescharacteristic
527C22×C4C2×C22⋊D7911yescharacteristic
528C22×C4C2×C22⋊D7911yescharacteristic
529C22×C4C2×C22⋊D7911yescharacteristic
530C22×C4C2×C22⋊D7911yescharacteristic
531C22×C4C2×C22⋊D7911yescharacteristic
532C22×C4C23×D7911yescharacteristic
533SD16—1588no—
534SD16—1588no—
535C2×C8—792no—
536C2×C8—792no—
537C2×C8—1581no—
538C2×C8—1581no—
539C2×C8—1581no—
540C2×C8—1581no—
541C2×C8—1581no—
542C2×C8—1581no—
543C2×C8—1581no—
544C2×C8—1581no—
545C2×C8—1581no—
546C2×C8—1581no—
547C4⋊C4—24no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—1581no—
554C4⋊C4—1581no—
555C4⋊C4—1581no—
556C4⋊C4—1581no—
557C4⋊C4C2×C4×D7912yes—
558C4⋊C4C2×D31612yes—
559C4⋊C4#1192962412yes—
560C22⋊C4—3162no—
561C22⋊C4—3162no—
562C22⋊C4—6321no—
563C22⋊C4—6321no—
564C22⋊C4—6321no—
565C22⋊C4—6321no—
566C42—24no—
567C42—21no—
568C42—21no—
569C42—24no—
570C42—24no—
571C42—81no—
572C42—81no—
573C42—81no—
574C42C2×C4×D7912yes—
575C42C2×D31612yes—
576C42#1192962412yes—
577C42#1192962412yes—
578C23—3161no—
579C23—3161no—
580C23—3161no—
581C23—3161no—
582C23—3161no—
583C23—3161no—
584C23—3161no—
585C23—3161no—
586C23—3161no—
587C23—3161no—
588C23—3161no—
589C23—3161no—
590C23—1582no—
591C23—1582no—
592C23C22×C22⋊D7911yescharacteristic
593Q8—22no—
594Q8—22no—
595Q8—22no—
596Q8C4×D31614yes—
597D4—3161no—
598D4—3161no—
599D4—3161no—
600D4—3161no—
601D4—6324no—
602D4—6324no—
603D4—1582no—
604D4—1582no—
605D4—1582no—
606D4—1582no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—3161no—
634C2×C4—3161no—
635C2×C4—3161no—
636C2×C4—3161no—
637C2×C4—3161no—
638C2×C4—3161no—
639C2×C4—6324no—
640C2×C4—6324no—
641C2×C4C4×C22⋊D7912yes—
642C2×C4C4×C22⋊D7912yes—
643C2×C4#1457913512yes—
644C2×C4#1457913512yes—
645C2×C4C22×C4×D7911yescharacteristic
646C2×C4C22×D31611yescharacteristic
647C2×C4C2×#1192962411yescharacteristic
648C2×C4C2×#1192962411yescharacteristic
649C2×C4C2×#1192962411yescharacteristic
650C2×C4C2×#1192962411yescharacteristic
651C8—3161no—
652C8—3161no—
653C8—1582no—
654C8—1582no—
655C22—3162no—
656C22—3162no—
657C22—3162no—
658C22—3162no—
659C22—3162no—
660C22—3162no—
661C22—6321no—
662C22—6321no—
663C22—6321no—
664C22—6321no—
665C22—6321no—
666C22—6321no—
667C22—6321no—
668C22—6321no—
669C22C2×C4×C22⋊D7911yescharacteristic
670C22C2×#1457913511yescharacteristic
671C22#1909907411yescharacteristic
672C22#1909936611yescharacteristic
673C22#1909937111yescharacteristic
674C22#1909937111yescharacteristic
675C22#1909937111yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—24no—
680C4—22no—
681C4—42no—
682C4—42no—
683C4—41no—
684C4—42no—
685C4—41no—
686C4—6321no—
687C4—6321no—
688C4C2×C4×D31611yescharacteristic
689C4C4×#1192962411yescharacteristic
690C4#1909909711yescharacteristic
691C4#1909911311yescharacteristic
692C2—6322no—
693C2—6322no—
694C2C4×#1457913511yescharacteristic
695C2#2377222811yescharacteristic
696C2#2377225911yescharacteristic
697C2#2377292111yescharacteristic
698C2#2377293911yescharacteristic
699C2#2377359911yescharacteristic
700C2#2377369111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D79
commutatorC2×C4×C79C23×C4
FrattiniC22×C4C23×D79
FittingC79×#2276C2
socleC23×C79C22×D4
prime radicalC2×#14579158C22
cosocleC22×C4×C79C24
hypercenter#2276D79
hypocenterC79#21515
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ #376 ◁ #2276

Complements

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

NH ≅ G/Ntype
2. C2×#19098661C2semidirect
3. C2×C4×#11929611C2semidirect
6. #23764168C2semidirect
7. #23764027C2semidirect
8. #23764020C2semidirect
9. #23763755C2semidirect
10. #23763755C2semidirect
11. #23763415C2semidirect
12. #23763257C2semidirect
13. #23763228C2semidirect
14. C4×#14579081C2semidirect
15. C79×#2276C2semidirect
21. #19098763C4semidirect
72. C2×#11929611C2×C4semidirect
73. C2×#11929611C2×C4semidirect
95. C4⋊(C79⋊C8)C2×C4semidirect
102. #14579081C2×C4semidirect
103. #14579081C2×C4semidirect
113. C4×Q8×C79C2×C4semidirect
114. C4×Q8×C79D4semidirect
355. #2276D79semidirect
366. C79#21515semidirect
436. C4×Q8C4×D79semidirect
437. C4×Q8D316semidirect

Maximal subgroups

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

subgroupindex
C2×#190987632
C2×#190986612
C2×C4×#119296112
#237661252
#237643272
#237641682
#237640272
#237640202
#237637552
#237634152
#237632572
#237632282
C4×#145790812
C79×#22762
#2151579