Finite Group Databasebeta

← #34310874

Subgroups — #34310874

Order 20224.

994 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19098790C211yesmaximal, characteristic
2C2×C4×#11929612C211yesmaximal, characteristic, complemented
3C2×#19098599C211yesmaximal, characteristic, complemented
4#23766425C211yesmaximal, characteristic, complemented
5#23764253C211yesmaximal, characteristic, complemented
6#23764125C211yesmaximal, characteristic, complemented
7#23764041C211yesmaximal, characteristic, complemented
8#23764017C211yesmaximal, characteristic, complemented
9#23763723C211yesmaximal, characteristic
10#23763712C211yesmaximal, characteristic, complemented
11#23763653C211yesmaximal, characteristic, complemented
12#23763647C211yesmaximal, characteristic, complemented
13C4×#14579092C211yesmaximal, characteristic, complemented
14C22⋊C4×C79⋊C8C211yesmaximal, characteristic, complemented
15C79×#2363C211yesmaximal, characteristic
16C22×#11929612C2211yescharacteristic
17C23×C79⋊C8C2211yescharacteristic
18C2×#14579140C2211yescharacteristic
19C2×C4×Dic158C2211yescharacteristic
20C2×#14579120C2211yescharacteristic
21#19098790C418yescomplemented
22C4×#11929612—24no—
23#19098599—24no—
24C2×#14579094C2211yescharacteristic
25C2×#14579094C2211yescharacteristic
26C2×#14579092C2211yescharacteristic
27C2×#14579092C2211yescharacteristic
28C2×#14579092C2211yescharacteristic
29C2×#14579084C2211yescharacteristic
30C2×#14579084C2211yescharacteristic
31C2×#14579084C2211yescharacteristic
32C2×#14579082C2211yescharacteristic
33C2×#14579082C2211yescharacteristic
34C2×#14579082C2211yescharacteristic
35C2×C22⋊(C79⋊C8)C2211yescharacteristic
36C2×C4×C79⋊C8C2211yescharacteristic
37C2×C4×C79⋊C8C2211yescharacteristic
38#19098469C2211yescharacteristic
39#19098461C2211yescharacteristic
40#19098457—21no—
41#19098451—21no—
42#19098445—21no—
43C4×C4⋊Dic79C2211yescharacteristic
44#19098414—21no—
45#19098325C2211yescharacteristic
46#19098325C2211yescharacteristic
47#19098325C2211yescharacteristic
48#19098325C2211yescharacteristic
49#19098318C2211yescharacteristic
50#19098318C2211yescharacteristic
51C2×#121×C79C2211yescharacteristic
52C2×C4×D4×C79C2211yescharacteristic
53C2×#117×C79C2211yescharacteristic
54#390×C79—21no—
55#390×C79C2211yescharacteristic
56#389×C79C2211yescharacteristic
57#388×C79—21no—
58#386×C79—21no—
59C4×C4⋊C4×C79C2211yescharacteristic
60C4×C22⋊C4×C79—21no—
61C4×C22⋊C4×C79C2211yescharacteristic
62C22×Dic158C2311yescharacteristic
63C2×#11929612—22no—
64C2×#11929612—22no—
65C2×#11929612C2×C414yes—
66C22×C79⋊C8—22no—
67C22×C79⋊C8—22no—
68C22×C79⋊C8C2×C414yescomplemented
69C22×C79⋊C8C2311yescharacteristic
70C22×C79⋊C8C2311yescharacteristic
71C22×C79⋊C8C2311yescharacteristic
72C22×C79⋊C8C2311yescharacteristic
73#14579140—22no—
74#14579140C2×C414yescomplemented
75C4×Dic158—22no—
76C4×Dic158—41no—
77#14579120—22no—
78#14579120—41no—
79C2×C4⋊Dic79C2311yescharacteristic
80C2×C4⋊Dic79C2311yescharacteristic
81C2×C4⋊Dic79C2311yescharacteristic
82C2×Dic79⋊C4—21no—
83C2×Dic79⋊C4—21no—
84C2×Dic79⋊C4—21no—
85C2×C22⋊Dic79—21no—
86C2×C22⋊Dic79—21no—
87C2×C4×Dic79—21no—
88C2×C4×Dic79—21no—
89C2×C4×Dic79—21no—
90#14579094—22no—
91#14579094—22no—
92#14579092—22no—
93#14579092C2×C414yescomplemented
94#14579092D414yescomplemented
95#14579084—22no—
96#14579084—41no—
97#14579084C2×C414yescomplemented
98#14579082—22no—
99#14579082—41no—
100#14579082C2×C414yes—
101C22⋊(C79⋊C8)—22no—
102C4×C79⋊C8—22no—
103C4×C79⋊C8—22no—
104C79⋊#95—21no—
105C79⋊#95—21no—
106C79⋊#95—21no—
107C79⋊#95—21no—
108C22×D4×C79—21no—
109C22×D4×C79C2311yescharacteristic
110C23×C4×C79—21no—
111C23×C4×C79C2311yescharacteristic
112#121×C79—22no—
113#121×C79C2×C414yes—
114C4×D4×C79—22no—
115C4×D4×C79—41no—
116#117×C79—22no—
117#117×C79—41no—
118C2×C4⋊C4×C79—21no—
119C2×C4⋊C4×C79C2311yescharacteristic
120C2×C4⋊C4×C79C2311yescharacteristic
121C2×C4⋊C4×C79C2311yescharacteristic
122C2×C22⋊C4×C79—21no—
123C2×C22⋊C4×C79—21no—
124C2×C22⋊C4×C79—21no—
125C2×C22⋊C4×C79—21no—
126C2×C22⋊C4×C79—21no—
127C2×C22⋊C4×C79D411yescharacteristic
128C2×C22⋊C4×C79D411yescharacteristic
129C2×C42×C79—21no—
130C2×C42×C79—21no—
131C2×C42×C79C2311yescharacteristic
132C2×C42×C79C2311yescharacteristic
133#95×C79—21no—
134#95×C79—21no—
135#95×C79D411yescharacteristic
136#95×C79D411yescharacteristic
137C2×Dic158—21no—
138C2×Dic158—21no—
139C2×Dic158—21no—
140C2×Dic158—21no—
141C2×Dic158—21no—
142C2×Dic158C22×C412yes—
143C22×Dic79—21no—
144C22×Dic79—21no—
145C22×Dic79—21no—
146C22×Dic79—21no—
147#11929612—28no—
148C2×C79⋊C8—28no—
149C2×C79⋊C8—21no—
150C2×C79⋊C8—21no—
151C2×C79⋊C8—21no—
152C2×C79⋊C8—21no—
153C2×C79⋊C8—21no—
154C2×C79⋊C8—21no—
155C2×C79⋊C8—21no—
156C2×C79⋊C8—21no—
157C2×C79⋊C8C22×C412yes—
158C2×C79⋊C8C22×C412yes—
159C2×C79⋊C8C2×D412yes—
160C2×C79⋊C8#4112yes—
161C4⋊Dic79—21no—
162C4⋊Dic79—21no—
163C4⋊Dic79—21no—
164C4⋊Dic79—21no—
165C4⋊Dic79C22×C412yes—
166C4⋊Dic79C2×D412yes—
167Dic79⋊C4—24no—
168Dic79⋊C4—42no—
169Dic79⋊C4—42no—
170C22⋊Dic79—24no—
171C22⋊Dic79—42no—
172C4×Dic79—42no—
173C4×Dic79—42no—
174C4×Dic79—42no—
175C24×C79—21no—
176C24×C79C2×D411yescharacteristic
177C2×D4×C79—24no—
178C2×D4×C79—21no—
179C2×D4×C79—21no—
180C2×D4×C79—21no—
181C2×D4×C79—21no—
182C2×D4×C79—21no—
183C2×D4×C79—81no—
184C2×D4×C79—81no—
185C2×D4×C79C22×C412yes—
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—42no—
194C22×C4×C79—42no—
195C22×C4×C79—81no—
196C22×C4×C79C22×C412yes—
197C22×C4×C79C2×D411yescharacteristic
198C22×C4×C79C2×D411yescharacteristic
199C22×C4×C79C2×D411yescharacteristic
200C22×C4×C79C2×D411yescharacteristic
201C22×C4×C79C2×D411yescharacteristic
202C22×C4×C79#4112yes—
203C22×C4×C79C2411yescharacteristic
204C4⋊C4×C79—21no—
205C4⋊C4×C79—21no—
206C4⋊C4×C79—21no—
207C4⋊C4×C79—21no—
208C4⋊C4×C79—81no—
209C4⋊C4×C79C22×C412yes—
210C4⋊C4×C79C2×D412yes—
211C22⋊C4×C79—24no—
212C22⋊C4×C79—22no—
213C22⋊C4×C79—22no—
214C22⋊C4×C79—42no—
215C22⋊C4×C79—42no—
216C22⋊C4×C79—42no—
217C22⋊C4×C79—81no—
218C42×C79—21no—
219C42×C79—21no—
220C42×C79—21no—
221C42×C79—21no—
222C42×C79—42no—
223C42×C79—81no—
224C23×C79—21no—
225C23×C79—21no—
226C23×C79—21no—
227C23×C79—21no—
228C23×C79—21no—
229C23×C79—21no—
230C23×C79—22no—
231C23×C79—41no—
232C23×C79—41no—
233C23×C79—41no—
234C23×C79—41no—
235C23×C79—41no—
236C23×C79—41no—
237C23×C79C4×D412yes—
238C23×C79C22×D411yescharacteristic
239D4×C79—22no—
240D4×C79—22no—
241D4×C79—41no—
242D4×C79—41no—
243D4×C79—84no—
244C2×C4×C79—21no—
245C2×C4×C79—21no—
246C2×C4×C79—21no—
247C2×C4×C79—21no—
248C2×C4×C79—21no—
249C2×C4×C79—21no—
250C2×C4×C79—22no—
251C2×C4×C79—22no—
252C2×C4×C79—22no—
253C2×C4×C79—22no—
254C2×C4×C79—22no—
255C2×C4×C79—21no—
256C2×C4×C79—22no—
257C2×C4×C79—21no—
258C2×C4×C79—21no—
259C2×C4×C79—21no—
260C2×C4×C79—21no—
261C2×C4×C79—21no—
262C2×C4×C79—41no—
263C2×C4×C79—41no—
264C2×C4×C79—41no—
265C2×C4×C79—41no—
266C2×C4×C79—41no—
267C2×C4×C79—41no—
268C2×C4×C79—41no—
269C2×C4×C79—84no—
270C2×C4×C79C4×D412yes—
271C2×C4×C79#13512yes—
272C2×C4×C79#13512yes—
273C2×C4×C79C23×C411yescharacteristic
274C2×C4×C79C22×D411yescharacteristic
275C2×C4×C79C2×#4111yescharacteristic
276C2×C4×C79C2×#4111yescharacteristic
277C2×C4×C79H(5,𝔽2)11yescharacteristic
278C2×C4×C792−1+411yescharacteristic
279C2×Dic79—22no—
280C2×Dic79—22no—
281C2×Dic79—22no—
282C2×Dic79—41no—
283C2×Dic79—41no—
284C2×Dic79—41no—
285C2×Dic79—41no—
286C2×Dic79—41no—
287C2×Dic79—41no—
288C2×Dic79—41no—
289C2×Dic79—41no—
290C2×Dic79—41no—
291Dic158—22no—
292Dic158—22no—
293Dic158—41no—
294Dic158—41no—
295C79⋊C8—22no—
296C79⋊C8—41no—
297C79⋊C8—41no—
298C79⋊C8C4×D414yes—
299C22×C79—22no—
300C22×C79—22no—
301C22×C79—22no—
302C22×C79—41no—
303C22×C79—41no—
304C22×C79—41no—
305C22×C79—41no—
306C22×C79—42no—
307C22×C79—42no—
308C22×C79—42no—
309C22×C79—81no—
310C22×C79—81no—
311C22×C79—81no—
312C22×C79—81no—
313C22×C79C2×C4×D411yescharacteristic
314C22×C79D4211yescharacteristic
315C22×C79#54711yescharacteristic
316C22×C79C2×#13511yescharacteristic
317C22×C79C2×#13511yescharacteristic
318C22×C79#57711yescharacteristic
319C22×C79#57711yescharacteristic
320C4×C79—22no—
321C4×C79—22no—
322C4×C79—22no—
323C4×C79—41no—
324C4×C79—42no—
325C4×C79—42no—
326C4×C79—41no—
327C4×C79—81no—
328C4×C79C2×C4×D411yescharacteristic
329C4×C79#52011yescharacteristic
330C4×C79#54811yescharacteristic
331C4×C79#55311yescharacteristic
332Dic79—42no—
333Dic79—42no—
334Dic79—42no—
335Dic79—81no—
336#23023—791nomaximal, Sylow
337C2×C79—42no—
338C2×C79—82no—
339C2×C79#236111yescharacteristic
340C2×C79C4×#13511yescharacteristic
341C2×C79#294911yescharacteristic
342C2×C79#328211yescharacteristic
343C2×C79#328411yescharacteristic
344C2×C79#333711yescharacteristic
345C2×C79#334011yescharacteristic
346C2×#465—791no—
347C2×C4×SD16—791no—
348C2×#427—791no—
349#2363D7911yescharacteristic
350#2362—791no—
351#1968—791no—
352#1941—791no—
353#1928—791no—
354#1925—791no—
355#1875—791no—
356#1873—791no—
357#1863—791no—
358#1862—791no—
359C4×#106—791no—
360C8×C22⋊C4—791no—
361C79#2302311yescharacteristic, complemented, Sylow
362C22×SD16—791no—
363C23×C8—791no—
364C2×C22⋊Q8—791no—
365C2×#121C2×D7911yescharacteristic
366C2×C4×Q8—791no—
367C2×C4×D4C2×D7911yescharacteristic
368C2×#117—791no—
369C2×#117C2×D7911yescharacteristic
370#465—798no—
371C4×SD16—1584no—
372#427—1584no—
373C2×#107—791no—
374C2×#107—791no—
375C2×#106—791no—
376C2×#106—791no—
377C2×#106—791no—
378C2×#103—791no—
379C2×#103—791no—
380C2×#103—791no—
381C2×#102—791no—
382C2×#102—791no—
383C2×#102—791no—
384C2×C22⋊C8—791no—
385C2×C4×C8—791no—
386C2×C4×C8—791no—
387#391—791no—
388#390—21no—
389#390C2×D7911yescharacteristic
390#389—791no—
391#389C2×D7911yescharacteristic
392#388—21no—
393#388—1581no—
394#388—1581no—
395#387—1581no—
396#386—21no—
397C4×C4⋊C4—791no—
398C4×C4⋊C4—1581no—
399C4×C4⋊C4C2×D7911yescharacteristic
400C4×C22⋊C4—21no—
401C4×C22⋊C4C2×D7911yescharacteristic
402#340—791no—
403#340—791no—
404#340—791no—
405#340—791no—
406#336—791no—
407#336—791no—
408C22×Q8—791no—
409C22×D4—21no—
410C22×D4C22×D7911yescharacteristic
411C23×C4—21no—
412C23×C4C22×D7911yescharacteristic
413C2×SD16—794no—
414C2×SD16—1582no—
415C2×SD16—1582no—
416C22×C8—791no—
417C22×C8—794no—
418C22×C8—791no—
419C22×C8—791no—
420C22×C8—791no—
421C22×C8—1582no—
422C22×C8—1582no—
423C22⋊Q8—794no—
424C22⋊Q8—1582no—
425#121—22no—
426#121C4×D7914yes—
427C4×Q8—3161no—
428C4×Q8—1582no—
429C4×D4—22no—
430C4×D4—41no—
431#117—22no—
432#117—41no—
433#117—3161no—
434#117—1582no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—791no—
437C2×C4⋊C4—791no—
438C2×C4⋊C4—791no—
439C2×C4⋊C4—1581no—
440C2×C4⋊C4—1581no—
441C2×C4⋊C4—1581no—
442C2×C4⋊C4C22×D7911yescharacteristic
443C2×C4⋊C4C22×D7911yescharacteristic
444C2×C4⋊C4C22×D7911yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—21no—
450C2×C22⋊C4—1581no—
451C2×C22⋊C4—1581no—
452C2×C22⋊C4C22⋊D7911yescharacteristic
453C2×C22⋊C4C22⋊D7911yescharacteristic
454C2×C42—21no—
455C2×C42—21no—
456C2×C42—1581no—
457C2×C42—1581no—
458C2×C42—1581no—
459C2×C42C22×D7911yescharacteristic
460C2×C42C22×D7911yescharacteristic
461#107—1582no—
462#107—1582no—
463#106—794no—
464#106—794no—
465#106—1582no—
466#103—3161no—
467#103—794no—
468#103—1582no—
469#102—3161no—
470#102—794no—
471#102—1582no—
472C22⋊C8—1582no—
473C4×C8—1582no—
474C4×C8—1582no—
475#95—21no—
476#95—21no—
477#95—1581no—
478#95—1581no—
479#95—1581no—
480#95—1581no—
481#95C22⋊D7911yescharacteristic
482#95C22⋊D7911yescharacteristic
483C24—21no—
484C24C2×C22⋊D7911yescharacteristic
485C2×Q8—792no—
486C2×Q8—1581no—
487C2×Q8—1581no—
488C2×Q8—1581no—
489C2×Q8—1581no—
490C2×Q8—1581no—
491C2×D4—24no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—81no—
498C2×D4—81no—
499C2×D4C2×C4×D7912yes—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—81no—
510C22×C4—1581no—
511C22×C4—1581no—
512C22×C4—1581no—
513C22×C4—1581no—
514C22×C4C2×C4×D7912yes—
515C22×C4C2×C22⋊D7911yescharacteristic
516C22×C4C2×C22⋊D7911yescharacteristic
517C22×C4C2×C22⋊D7911yescharacteristic
518C22×C4C2×C22⋊D7911yescharacteristic
519C22×C4C2×C22⋊D7911yescharacteristic
520C22×C4#1192962412yes—
521C22×C4C23×D7911yescharacteristic
522SD16—1588no—
523C2×C8—792no—
524C2×C8—792no—
525C2×C8—792no—
526C2×C8—792no—
527C2×C8—1581no—
528C2×C8—1581no—
529C2×C8—1581no—
530C2×C8—1581no—
531C2×C8—1581no—
532C2×C8—1581no—
533C2×C8—1588no—
534C2×C8—1581no—
535C2×C8—1581no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—81no—
541C4⋊C4—3162no—
542C4⋊C4—3162no—
543C4⋊C4—792no—
544C4⋊C4—792no—
545C4⋊C4—1581no—
546C4⋊C4—1581no—
547C4⋊C4—1581no—
548C4⋊C4—1581no—
549C4⋊C4—1584no—
550C4⋊C4C2×C4×D7912yes—
551C4⋊C4D4×D7912yes—
552C22⋊C4—24no—
553C22⋊C4—22no—
554C22⋊C4—22no—
555C22⋊C4—42no—
556C22⋊C4—42no—
557C22⋊C4—42no—
558C22⋊C4—81no—
559C22⋊C4—3162no—
560C22⋊C4—1584no—
561C42—21no—
562C42—21no—
563C42—21no—
564C42—21no—
565C42—42no—
566C42—81no—
567C42—3162no—
568C42—3162no—
569C42—3162no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—22no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23C4×C22⋊D7912yes—
584C23C22×C22⋊D7911yescharacteristic
585Q8—3161no—
586Q8—3161no—
587Q8—1582no—
588Q8—1582no—
589D4—22no—
590D4—22no—
591D4—41no—
592D4—41no—
593D4—84no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—21no—
605C2×C4—22no—
606C2×C4—21no—
607C2×C4—22no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—84no—
620C2×C4—3161no—
621C2×C4—3161no—
622C2×C4—3161no—
623C2×C4—3161no—
624C2×C4—3161no—
625C2×C4—3161no—
626C2×C4—3161no—
627C2×C4—3161no—
628C2×C4—3161no—
629C2×C4—1582no—
630C2×C4—1582no—
631C2×C4—1582no—
632C2×C4C4×C22⋊D7912yes—
633C2×C4#1457918112yes—
634C2×C4#1457918112yes—
635C2×C4C22×C4×D7911yescharacteristic
636C2×C4C2×D4×D7911yescharacteristic
637C2×C4#41×D7911yescharacteristic
638C2×C4C2×#1192962411yescharacteristic
639C2×C4#1457920611yescharacteristic
640C2×C4#1457920811yescharacteristic
641C8—3161no—
642C8—3161no—
643C8—794no—
644C8—1582no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—81no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22C2×C4×C22⋊D7911yescharacteristic
660C22D4×C22⋊D7911yescharacteristic
661C22#1909921211yescharacteristic
662C22C2×#1457918111yescharacteristic
663C22C2×#1457918111yescharacteristic
664C22#1909937411yescharacteristic
665C22#1909937411yescharacteristic
666C4—22no—
667C4—22no—
668C4—22no—
669C4—41no—
670C4—42no—
671C4—42no—
672C4—41no—
673C4—81no—
674C4—3162no—
675C4—3162no—
676C4—3162no—
677C4—6321no—
678C4C4×D4×D7911yescharacteristic
679C4#1909904211yescharacteristic
680C4#1909922211yescharacteristic
681C4#1909926211yescharacteristic
682C2—42no—
683C2—82no—
684C2#2376641711yescharacteristic
685C2C4×#1457918111yescharacteristic
686C2#2377225711yescharacteristic
687C2#2377510311yescharacteristic
688C2#2377513011yescharacteristic
689C2#2377577311yescharacteristic
690C2#2377581311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D79
commutatorC2×C4×C79C23×C4
FrattiniC22×C4C23×D79
FittingC79×#2363C2
socleC23×C79C22×D4
prime radicalC2×#121×C79C22
cosocleC22×C4×C79C24
hypercenter#2363D79
hypocenterC79#23023
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2363

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11929612C2semidirect
3. C2×#19098599C2semidirect
4. #23766425C2semidirect
5. #23764253C2semidirect
6. #23764125C2semidirect
7. #23764041C2semidirect
8. #23764017C2semidirect
10. #23763712C2semidirect
11. #23763653C2semidirect
12. #23763647C2semidirect
13. C4×#14579092C2semidirect
14. C22⋊C4×C79⋊C8C2semidirect
21. #19098790C4semidirect
68. C22×C79⋊C8C2×C4semidirect
74. #14579140C2×C4semidirect
93. #14579092C2×C4semidirect
94. #14579092D4semidirect
97. #14579084C2×C4semidirect
361. C79#23023semidirect

Maximal subgroups

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

subgroupindex
C2×#190987902
C2×C4×#119296122
C2×#190985992
#237664252
#237642532
#237641252
#237640412
#237640172
#237637232
#237637122
#237636532
#237636472
C4×#145790922
C22⋊C4×C79⋊C82
C79×#23632
#2302379