Finite Group Databasebeta

← #34288235

Subgroups — #34288235

Order 20224.

1294 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#11929624C211yesmaximal, characteristic
2#23772033C211yesmaximal, characteristic, complemented
3#23763481C212yesmaximal, complemented
4#23763393C212yesmaximal, complemented
5#23763389C212yesmaximal, complemented
6#23763326C212yesmaximal
7C4×#14579079C212yesmaximal, complemented
8C4×#14579077C212yesmaximal, complemented
9C79×#2920C211yesmaximal, characteristic, complemented
10C22×#11929624C2211yescharacteristic
11C4×#11929624—21no—
12C4×#11929624—21no—
13C4×#11929624—21no—
14C4×#11929624—21no—
15C4×#11929624—21no—
16C4×#11929624—21no—
17C4×#11929624—21no—
18C4×#11929624—21no—
19C2×C4×Dic158C2211yescharacteristic
20C2×C4×Dic158C2211yescharacteristic
21C2×C4×D316C2211yescharacteristic
22C2×C4×D316C2211yescharacteristic
23C2×C4×C22⋊D79C412yes—
24C2×C4×C22⋊D79C412yes—
25C2×#14579120C2211yescharacteristic
26C2×#14579118C412yes—
27C2×C42×D79C412yes—
28#19098620—21no—
29#19098620—21no—
30#19098616—21no—
31#19098616—21no—
32#19098587C2212yes—
33C2×#14579079C2214yes—
34C2×#14579077C2214yes—
35#19098527C2212yes—
36C4×#11929608C2212yes—
37#19098331C2214yes—
38#19098331C2214yes—
39C22×C42×C79C2211yescharacteristic
40#432×C79—21no—
41#432×C79—21no—
42#431×C79—21no—
43#431×C79—21no—
44#423×C79C2212yes—
45#407×C79C2212yes—
46C4×M16×C79C2212yes—
47C2×#11929624—21no—
48C2×#11929624—21no—
49C2×#11929624—21no—
50C2×#11929624—21no—
51C2×#11929624—24no—
52C2×#11929624—24no—
53C22×Dic158C2311yescharacteristic
54C22×D316C2311yescharacteristic
55C22×C22⋊D79C2×C412yes—
56C22×C4×D79C2×C412yes—
57C22×C4×D79C2×C412yes—
58C22×C4×D79C2×C412yes—
59C2×#11929608C2314yes—
60C4×Dic158—21no—
61C4×Dic158—21no—
62C4×Dic158—21no—
63C4×Dic158—21no—
64C4×Dic158—21no—
65C4×Dic158—21no—
66C4×Dic158—21no—
67C4×Dic158—21no—
68C4×D316—21no—
69C4×D316—21no—
70C4×D316—21no—
71C4×D316—21no—
72C4×D316—21no—
73C4×D316—21no—
74C4×D316—21no—
75C4×D316—21no—
76C4×C22⋊D79—22no—
77C4×C22⋊D79—22no—
78C4×C22⋊D79—22no—
79C4×C22⋊D79—22no—
80C4×C22⋊D79—22no—
81C4×C22⋊D79—22no—
82C4×C22⋊D79—22no—
83C4×C22⋊D79—22no—
84#14579120—21no—
85#14579120—21no—
86#14579120—21no—
87#14579120—21no—
88#14579118—22no—
89#14579118—22no—
90#14579118—22no—
91#14579118—22no—
92C2×C4⋊Dic79C2311yescharacteristic
93C2×C4⋊Dic79C2311yescharacteristic
94C2×Dic79⋊C4C2×C412yes—
95C2×Dic79⋊C4C2×C412yes—
96C2×C22⋊Dic79C2×C412yes—
97C2×(C2×D79)⋊C4C2×C412yes—
98C2×(C2×D79)⋊C4C2×C412yes—
99C2×C4×Dic79C2×C412yes—
100C2×C4×Dic79C2×C412yes—
101C2×C4×Dic79C2×C412yes—
102C42×D79—22no—
103C42×D79—22no—
104C42×D79—22no—
105C42×D79—22no—
106C4⋊(C79⋊C8)—22no—
107C4⋊(C79⋊C8)—22no—
108#14579079—28no—
109#14579077—28no—
110C22⋊(C79⋊C8)—22no—
111C22⋊(C79⋊C8)—22no—
112#14579072—22no—
113C4×C79⋊C8—22no—
114C23×C4×C79C2×C411yescharacteristic
115C23×C4×C79C2×C411yescharacteristic
116C23×C4×C79C2311yescharacteristic
117C2×M16×C79C2314yes—
118C2×C42×C79C2×C411yescharacteristic
119C2×C42×C79C2×C411yescharacteristic
120C2×C42×C79D411yescharacteristic
121C2×C42×C79D411yescharacteristic
122C2×C42×C79D411yescharacteristic
123C2×C42×C79D411yescharacteristic
124C2×C42×C79D411yescharacteristic
125C2×C42×C79D411yescharacteristic
126C2×C42×C79D411yescharacteristic
127C2×C42×C79D411yescharacteristic
128C2×C42×C79C2311yescharacteristic
129C2×C42×C79C2311yescharacteristic
130C4⋊C8×C79—22no—
131C4⋊C8×C79—22no—
132C22⋊C8×C79—22no—
133C22⋊C8×C79—22no—
134#97×C79—22no—
135C4×C8×C79—22no—
136C23×D79C22×C412yes—
137#11929624—28no—
138#11929624—28no—
139#11929624—28no—
140#11929624—28no—
141C2×Dic158—21no—
142C2×Dic158—21no—
143C2×Dic158—22no—
144C2×Dic158#4114yes—
145C2×D316—21no—
146C2×D316—21no—
147C2×D316—22no—
148C2×D316#4114yes—
149C2×C22⋊D79—24no—
150C2×C22⋊D79—22no—
151C2×C22⋊D79—22no—
152C2×C22⋊D79—24no—
153C22×Dic79C22×C412yes—
154C22×Dic79C22×C412yes—
155C22×Dic79C22×C412yes—
156C2×C4×D79—24no—
157C2×C4×D79—24no—
158C2×C4×D79—22no—
159C2×C4×D79—22no—
160C2×C4×D79—22no—
161C2×C4×D79—22no—
162C2×C4×D79—22no—
163C2×C4×D79—22no—
164C2×C4×D79—44no—
165C2×C4×D79—44no—
166#11929608—24no—
167#11929608—24no—
168C2×C79⋊C8—24no—
169C4⋊Dic79—21no—
170C4⋊Dic79—21no—
171C4⋊Dic79—21no—
172C4⋊Dic79—21no—
173Dic79⋊C4—22no—
174Dic79⋊C4—22no—
175Dic79⋊C4—22no—
176Dic79⋊C4—22no—
177C22⋊Dic79—22no—
178C22⋊Dic79—22no—
179(C2×D79)⋊C4—22no—
180(C2×D79)⋊C4—22no—
181(C2×D79)⋊C4—22no—
182(C2×D79)⋊C4—22no—
183C4×Dic79—22no—
184C4×Dic79—22no—
185C4×Dic79—22no—
186C4×Dic79—22no—
187C4×Dic79—22no—
188C4×Dic79—22no—
189C24×C79C22×C411yescharacteristic
190C22×C4×C79—22no—
191C22×C4×C79—22no—
192C22×C4×C79—42no—
193C22×C4×C79—42no—
194C22×C4×C79C22⋊C411yescharacteristic
195C22×C4×C79C22⋊C411yescharacteristic
196C22×C4×C79C22⋊C411yescharacteristic
197C22×C4×C79C22⋊C411yescharacteristic
198C22×C4×C79C22⋊C411yescharacteristic
199C22×C4×C79C22⋊C411yescharacteristic
200C22×C4×C79C22⋊C411yescharacteristic
201C22×C4×C79C22⋊C411yescharacteristic
202C22×C4×C79C22×C411yescharacteristic
203C22×C4×C79C22×C411yescharacteristic
204C22×C4×C79C22×C411yescharacteristic
205C22×C4×C79C22×C411yescharacteristic
206C22×C4×C79C22×C411yescharacteristic
207C22×C4×C79C2×D411yescharacteristic
208C22×C4×C79C2×D411yescharacteristic
209C22×C4×C79C2×D411yescharacteristic
210C22×C4×C79C2×D411yescharacteristic
211C22×C4×C79C2411yescharacteristic
212M16×C79—24no—
213M16×C79—24no—
214C2×C8×C79—24no—
215C42×C79C22⋊C411yescharacteristic
216C42×C79C22⋊C411yescharacteristic
217C42×C79C22⋊C411yescharacteristic
218C42×C79C22⋊C411yescharacteristic
219C42×C79C22⋊C411yescharacteristic
220C42×C79C22⋊C411yescharacteristic
221C42×C79C22⋊C411yescharacteristic
222C42×C79C22⋊C411yescharacteristic
223C42×C79C2×D411yescharacteristic
224C42×C79C2×D411yescharacteristic
225C42×C79C2×D411yescharacteristic
226C42×C79C2×D411yescharacteristic
227C42×C79C2×D411yescharacteristic
228C42×C79C2×D411yescharacteristic
229C42×C79C2×D411yescharacteristic
230C42×C79C2×D411yescharacteristic
231C23×C79—21no—
232C23×C79—21no—
233C23×C79—41no—
234C23×C79—41no—
235C23×C79C2×C22⋊C411yescharacteristic
236C23×C79C2×C22⋊C411yescharacteristic
237C23×C79C23×C411yescharacteristic
238C22×D79—22no—
239C22×D79—22no—
240C22×D79—42no—
241C22×D79—42no—
242C22×D79#11714yes—
243C2×C4×C79—21no—
244C2×C4×C79—21no—
245C2×C4×C79—22no—
246C2×C4×C79—22no—
247C2×C4×C79—22no—
248C2×C4×C79—22no—
249C2×C4×C79—22no—
250C2×C4×C79—22no—
251C2×C4×C79—22no—
252C2×C4×C79—22no—
253C2×C4×C79—22no—
254C2×C4×C79—22no—
255C2×C4×C79—41no—
256C2×C4×C79—41no—
257C2×C4×C79—41no—
258C2×C4×C79—41no—
259C2×C4×C79—41no—
260C2×C4×C79—41no—
261C2×C4×C79C2×C22⋊C411yescharacteristic
262C2×C4×C79C2×C22⋊C411yescharacteristic
263C2×C4×C79C2×C22⋊C411yescharacteristic
264C2×C4×C79C2×C22⋊C411yescharacteristic
265C2×C4×C79C2×C22⋊C411yescharacteristic
266C2×C4×C79C2×C22⋊C411yescharacteristic
267C2×C4×C79C2×C22⋊C411yescharacteristic
268C2×C4×C79C2×C22⋊C411yescharacteristic
269C2×C4×C79C2×C22⋊C411yescharacteristic
270C2×C4×C79C2×C22⋊C411yescharacteristic
271C2×C4×C79C22×D411yescharacteristic
272C2×C4×C79C22×D411yescharacteristic
273C2×C4×C79C2×#4112yes—
274C2×C4×C79C2×#4112yes—
275C22⋊D79—28no—
276C22⋊D79—28no—
277C2×Dic79—22no—
278C2×Dic79—22no—
279C2×Dic79—22no—
280C2×Dic79—22no—
281C2×Dic79—42no—
282C2×Dic79—42no—
283C2×Dic79#11714yes—
284D316—24no—
285D316—24no—
286C4×D79—28no—
287C4×D79—28no—
288C4×D79—44no—
289C4×D79—44no—
290C4×D79—44no—
291C4×D79—44no—
292Dic158—24no—
293Dic158—24no—
294C8×C79—44no—
295C79⋊C8—44no—
296C22×C79—21no—
297C22×C79—21no—
298C22×C79—21no—
299C22×C79—21no—
300C22×C79—21no—
301C22×C79—21no—
302C22×C79—21no—
303C22×C79—21no—
304C22×C79—42no—
305C22×C79—42no—
306C22×C79C22×C22⋊C411yescharacteristic
307C22×C79C2×#11711yescharacteristic
308C22×C79C2×#11711yescharacteristic
309C2×D79—24no—
310C2×D79—44no—
311C2×D79—42no—
312C2×D79—42no—
313C2×D79—44no—
314C4×C79—21no—
315C4×C79—21no—
316C4×C79—21no—
317C4×C79—21no—
318C4×C79—21no—
319C4×C79—21no—
320C4×C79—21no—
321C4×C79—21no—
322C4×C79#41312yes—
323C4×C79#41312yes—
324C4×C79#52512yes—
325C4×C79#52512yes—
326Dic79—24no—
327Dic79—42no—
328Dic79—42no—
329#20728—791nomaximal, Sylow
330C2×C79—21no—
331C2×C79—21no—
332C2×C79—41no—
333C2×C79—41no—
334C2×C79#228011yescharacteristic
335C2×C79C2×#41311yescharacteristic
336C2×C79C2×#41311yescharacteristic
337D79—44no—
338C2×C4×#41—791no—
339#2920—791no—
340#2920D7911yescharacteristic, complemented
341#1822—792no—
342#1801—792no—
343#1800—792no—
344#1785—792no—
345C4×#101—792no—
346C4×#100—792no—
347C79#2072811yescharacteristic, complemented, Sylow
348C22×#41—791no—
349C4×#41—1581no—
350C4×#41—1581no—
351C4×#41—1581no—
352C4×#41—1581no—
353C4×#41—1581no—
354C4×#41—1581no—
355C4×#41—1581no—
356C4×#41—1581no—
357C2×C4×Q8—791no—
358C2×C4×Q8—791no—
359C2×C4×D4—792no—
360C2×C4×D4—792no—
361C2×C4×D4—791no—
362C2×C4×D4—791no—
363C2×#117—791no—
364C2×#117—792no—
365C22×C42—792no—
366C22×C42C2×D7911yescharacteristic
367#432—21no—
368#432—21no—
369#432—1581no—
370#432—1581no—
371#431—21no—
372#431—21no—
373#431—1581no—
374#431—1581no—
375#423—792no—
376#423C2×D7912yes—
377C2×#101—794no—
378C2×#100—794no—
379#407—792no—
380#407C2×D7912yes—
381C4×M16—792no—
382C4×M16C2×D7912yes—
383#343—794no—
384#343—794no—
385C2×#41—1584no—
386C2×#41—1584no—
387C2×#41—1581no—
388C2×#41—1581no—
389C2×#41—1581no—
390C2×#41—1581no—
391C22×Q8—791no—
392C22×D4—792no—
393C22×D4—791no—
394C23×C4—792no—
395C23×C4—792no—
396C23×C4—792no—
397C23×C4C4×D7911yescharacteristic
398C23×C4C4×D7911yescharacteristic
399C23×C4C22×D7911yescharacteristic
400C2×M16—794no—
401C2×M16C22×D7914yes—
402C4×Q8—1581no—
403C4×Q8—1581no—
404C4×Q8—1581no—
405C4×Q8—1581no—
406C4×Q8—1581no—
407C4×Q8—1581no—
408C4×Q8—1581no—
409C4×Q8—1581no—
410C4×D4—1582no—
411C4×D4—1582no—
412C4×D4—1582no—
413C4×D4—1582no—
414C4×D4—1582no—
415C4×D4—1582no—
416C4×D4—1582no—
417C4×D4—1582no—
418C4×D4—1581no—
419C4×D4—1581no—
420C4×D4—1581no—
421C4×D4—1581no—
422C4×D4—1581no—
423C4×D4—1581no—
424C4×D4—1581no—
425C4×D4—1581no—
426#117—1581no—
427#117—1581no—
428#117—1581no—
429#117—1581no—
430#117—1582no—
431#117—1582no—
432#117—1582no—
433#117—1582no—
434C2×C4⋊C4—792no—
435C2×C4⋊C4—792no—
436C2×C4⋊C4—791no—
437C2×C4⋊C4—791no—
438C2×C22⋊C4—792no—
439C2×C22⋊C4—792no—
440C2×C22⋊C4—792no—
441C2×C42—792no—
442C2×C42—792no—
443C2×C42—792no—
444C2×C42—1582no—
445C2×C42—1582no—
446C2×C42—1582no—
447C2×C42—1582no—
448C2×C42C4×D7911yescharacteristic
449C2×C42C4×D7911yescharacteristic
450C2×C42D31611yescharacteristic
451C2×C42D31611yescharacteristic
452C2×C42D31611yescharacteristic
453C2×C42D31611yescharacteristic
454C2×C42C22⋊D7911yescharacteristic
455C2×C42C22⋊D7911yescharacteristic
456C2×C42C22⋊D7911yescharacteristic
457C2×C42C22⋊D7911yescharacteristic
458C2×C42C22×D7911yescharacteristic
459C2×C42C22×D7911yescharacteristic
460C4⋊C8—22no—
461C4⋊C8—22no—
462C4⋊C8—1582no—
463C4⋊C8—1582no—
464#101—1588no—
465#100—1588no—
466C22⋊C8—22no—
467C22⋊C8—22no—
468C22⋊C8—1582no—
469C22⋊C8—1582no—
470#97—22no—
471#97—1582no—
472C4×C8—22no—
473C4×C8—1582no—
474C24—792no—
475C24C2×C4×D7911yescharacteristic
476#41—1588no—
477#41—1588no—
478#41—1588no—
479#41—1588no—
480C2×Q8—794no—
481C2×Q8—1582no—
482C2×Q8—1581no—
483C2×Q8—1581no—
484C2×D4—794no—
485C2×D4—1584no—
486C2×D4—1584no—
487C2×D4—1582no—
488C2×D4—1582no—
489C2×D4—1582no—
490C2×D4—1581no—
491C2×D4—1581no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—3164no—
497C22×C4—3164no—
498C22×C4—792no—
499C22×C4—792no—
500C22×C4—792no—
501C22×C4—1584no—
502C22×C4—1584no—
503C22×C4—1582no—
504C22×C4—1582no—
505C22×C4—1582no—
506C22×C4—1582no—
507C22×C4—1582no—
508C22×C4—1582no—
509C22×C4(C2×D79)⋊C411yescharacteristic
510C22×C4(C2×D79)⋊C411yescharacteristic
511C22×C4(C2×D79)⋊C411yescharacteristic
512C22×C4(C2×D79)⋊C411yescharacteristic
513C22×C4(C2×D79)⋊C411yescharacteristic
514C22×C4(C2×D79)⋊C411yescharacteristic
515C22×C4(C2×D79)⋊C411yescharacteristic
516C22×C4(C2×D79)⋊C411yescharacteristic
517C22×C4C2×C4×D7911yescharacteristic
518C22×C4C2×C4×D7911yescharacteristic
519C22×C4C2×C4×D7911yescharacteristic
520C22×C4C2×C4×D7911yescharacteristic
521C22×C4C2×C4×D7911yescharacteristic
522C22×C4C2×C22⋊D7911yescharacteristic
523C22×C4C2×C22⋊D7911yescharacteristic
524C22×C4C2×D31611yescharacteristic
525C22×C4C2×D31611yescharacteristic
526C22×C4C23×D7911yescharacteristic
527M16—24no—
528M16—24no—
529M16—1584no—
530M16—1584no—
531C2×C8—24no—
532C2×C8—1584no—
533C4⋊C4—1582no—
534C4⋊C4—1582no—
535C4⋊C4—1582no—
536C4⋊C4—1582no—
537C4⋊C4—1581no—
538C4⋊C4—1581no—
539C4⋊C4—1581no—
540C4⋊C4—1581no—
541C22⋊C4—1582no—
542C22⋊C4—1582no—
543C22⋊C4—1582no—
544C22⋊C4—1582no—
545C22⋊C4—1582no—
546C22⋊C4—1582no—
547C42—1582no—
548C42—1582no—
549C42—1582no—
550C42—1582no—
551C42—1582no—
552C42—1582no—
553C42(C2×D79)⋊C411yescharacteristic
554C42(C2×D79)⋊C411yescharacteristic
555C42(C2×D79)⋊C411yescharacteristic
556C42(C2×D79)⋊C411yescharacteristic
557C42(C2×D79)⋊C411yescharacteristic
558C42(C2×D79)⋊C411yescharacteristic
559C42(C2×D79)⋊C411yescharacteristic
560C42(C2×D79)⋊C411yescharacteristic
561C42C2×C22⋊D7911yescharacteristic
562C42C2×C22⋊D7911yescharacteristic
563C42C2×C22⋊D7911yescharacteristic
564C42C2×C22⋊D7911yescharacteristic
565C42C2×D31611yescharacteristic
566C42C2×D31611yescharacteristic
567C42C2×D31611yescharacteristic
568C42C2×D31611yescharacteristic
569C23—21no—
570C23—21no—
571C23—41no—
572C23—41no—
573C23—3162no—
574C23—3162no—
575C23—794no—
576C23—1582no—
577C23—1582no—
578C23C2×(C2×D79)⋊C411yescharacteristic
579C23C2×(C2×D79)⋊C411yescharacteristic
580C23C22×C4×D7911yescharacteristic
581Q8—1584no—
582Q8—1584no—
583D4—1588no—
584D4—1588no—
585D4—1584no—
586D4—1584no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—3164no—
606C2×C4—3164no—
607C2×C4—3164no—
608C2×C4—3164no—
609C2×C4—3162no—
610C2×C4—3162no—
611C2×C4—794no—
612C2×C4—1588no—
613C2×C4—1588no—
614C2×C4—1582no—
615C2×C4—1582no—
616C2×C4—1582no—
617C2×C4—1582no—
618C2×C4C2×(C2×D79)⋊C411yescharacteristic
619C2×C4C2×(C2×D79)⋊C411yescharacteristic
620C2×C4C2×(C2×D79)⋊C411yescharacteristic
621C2×C4C2×(C2×D79)⋊C411yescharacteristic
622C2×C4C2×(C2×D79)⋊C411yescharacteristic
623C2×C4C2×(C2×D79)⋊C411yescharacteristic
624C2×C4C2×(C2×D79)⋊C411yescharacteristic
625C2×C4C2×(C2×D79)⋊C411yescharacteristic
626C2×C4C2×(C2×D79)⋊C411yescharacteristic
627C2×C4C2×(C2×D79)⋊C411yescharacteristic
628C2×C4C22×C22⋊D7911yescharacteristic
629C2×C4C22×D31611yescharacteristic
630C2×C4#41×D7912yes—
631C2×C4#41×D7912yes—
632C8—44no—
633C8—3164no—
634C22—21no—
635C22—21no—
636C22—21no—
637C22—21no—
638C22—21no—
639C22—21no—
640C22—21no—
641C22—21no—
642C22—42no—
643C22—42no—
644C22—3164no—
645C22—3164no—
646C22—3162no—
647C22—3162no—
648C22—1584no—
649C22C22×(C2×D79)⋊C411yescharacteristic
650C22#117×D7911yescharacteristic
651C22#117×D7911yescharacteristic
652C4—21no—
653C4—21no—
654C4—21no—
655C4—21no—
656C4—21no—
657C4—21no—
658C4—21no—
659C4—21no—
660C4—3162no—
661C4—3162no—
662C4—1584no—
663C4#1909854512yes—
664C4#1909854512yes—
665C4#1909907012yes—
666C4#1909907512yes—
667C2—21no—
668C2—21no—
669C2—41no—
670C2—41no—
671C2—3164no—
672C2#2376577911yescharacteristic
673C2C2×#1909854511yescharacteristic
674C2C2×#1909854511yescharacteristic
subgroupG/H
centerC2×C4C2×(C2×D79)⋊C4
commutatorC23×C79C23×C4
FrattiniC22×C4C23×D79
FittingC79×#2920C2
socleC22×C79C22×C22⋊C4
prime radicalC22×#11929624C22
cosocleC22×C4×C79C24
hypercenter#2920D79
hypocenterC79#20728
LCSG ▷ C23×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ C22×C42 ◁ #2920

Complements

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

NH ≅ G/Ntype
2. #23772033C2semidirect
3. #23763481C2semidirect
4. #23763393C2semidirect
5. #23763389C2semidirect
7. C4×#14579079C2semidirect
8. C4×#14579077C2semidirect
9. C79×#2920C2semidirect
340. #2920D79semidirect
347. C79#20728semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#119296242
#237720332
#237634812
#237633932
#237633892
#237633262
C4×#145790792
C4×#145790772
C79×#29202
#2072879