Finite Group Databasebeta

← C4×#19099232 #34448120

Subgroups — C4×#19099232 #34448120

Order 20224.

3420 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099232C211yesmaximal, characteristic
2C2×C4×#11929625C211yesmaximal, characteristic, complemented
3#23766462C213yesmaximal, complemented
4#23766438C213yesmaximal, complemented
5#23766434C213yesmaximal, complemented
6#23766350C213yesmaximal, complemented
7Q8×Dic79⋊C4C211yesmaximal, characteristic, complemented
8#23766241C211yesmaximal, characteristic, complemented
9#23766238C211yesmaximal, characteristic, complemented
10C4×#14579157C213yesmaximal, complemented
11C4×#14579135C213yesmaximal, complemented
12C4×#14579132C213yesmaximal, complemented
13C4×Q8×Dic79C211yesmaximal, characteristic, complemented
14C42×C22⋊D79C213yesmaximal, complemented
15C2×C4×#41×C79C211yesmaximal, characteristic, complemented
16C22×#11929625C2211yescharacteristic
17#19099232C4116yesdirect product factor
18C2×#14579157C2213yes—
19C2×#14579135C2213yes—
20C2×#14579132C2213yes—
21C4×#11929625—28no—
22C2×Q8×Dic79C2211yescharacteristic
23C2×Q8×Dic79C2211yescharacteristic
24C2×Q8×Dic79C2211yescharacteristic
25C2×C4×D316C2213yes—
26C2×#14579123C2213yes—
27C2×C4×C22⋊D79C2213yes—
28C2×C4×C22⋊D79C2213yes—
29C2×C4×C22⋊D79C2216yes—
30C2×C4×C22⋊D79C2213yes—
31C2×#14579119C2213yes—
32C2×C42×D79C2213yes—
33#19098466C2213yes—
34#19098466C2213yes—
35#19098465C2213yes—
36#19098464C2213yes—
37#19098463C2216yes—
38#19098463C2216yes—
39#19098461C2213yes—
40#19098459C2213yes—
41#19098454C2216yes—
42#19098451C2216yes—
43#19098442C2216yes—
44#19098439C2216yes—
45#19098432C2213yes—
46#19098423C2213yes—
47#19098420C2213yes—
48C4⋊C4×Dic79C2213yes—
49C4⋊C4×Dic79C2213yes—
50C4×Dic79⋊C4C2213yes—
51C4×Dic79⋊C4C2213yes—
52C4×Dic79⋊C4C2211yescharacteristic
53C4×C4⋊Dic79C2213yes—
54C4×(C2×D79)⋊C4C2213yes—
55C4×(C2×D79)⋊C4C2213yes—
56C4×(C2×D79)⋊C4C2213yes—
57C4×C22⋊Dic79C2213yes—
58C4×C22⋊Dic79C2213yes—
59C4×C22⋊Dic79C2213yes—
60C42×Dic79C2213yes—
61C22×#41×C79C2211yescharacteristic
62C4×#41×C79—28no—
63C2×C4×Q8×C79C2211yescharacteristic
64C2×C4×Q8×C79C2211yescharacteristic
65C2×C4×D4×C79C2213yes—
66C2×C4×D4×C79C2213yes—
67C2×#117×C79C2213yes—
68C22×C42×C79C2213yes—
69C2×#11929625—24no—
70C2×#11929625—24no—
71C2×#11929625C2×C418yescomplemented
72C22×D316C2313yes—
73C22×C22⋊D79C2313yes—
74C22×C22⋊D79C2316yes—
75C22×C4×D79C2313yes—
76C22×C4×D79C2313yes—
77C22×C4×D79C2313yes—
78#14579157C2×C4124yescomplemented
79#14579135C2×C4124yescomplemented
80#14579132C2×C4124yescomplemented
81Q8×Dic79—24no—
82Q8×Dic79—24no—
83Q8×Dic79C2×C418yescomplemented
84C4×D316—212no—
85#14579123—212no—
86C4×C22⋊D79—212no—
87C4×C22⋊D79—212no—
88C4×C22⋊D79—412no—
89C4×C22⋊D79C2×C4124yescomplemented
90#14579119—212no—
91C2×C4⋊Dic79C2313yes—
92C2×C4⋊Dic79C2313yes—
93C2×C4⋊Dic79C2313yes—
94C2×Dic79⋊C4C2313yes—
95C2×Dic79⋊C4C2316yes—
96C2×Dic79⋊C4C2311yescharacteristic
97C2×Dic79⋊C4C2311yescharacteristic
98C2×C22⋊Dic79C2313yes—
99C2×C22⋊Dic79C2313yes—
100C2×C22⋊Dic79C2316yes—
101C2×C22⋊Dic79C2313yes—
102C2×(C2×D79)⋊C4C2313yes—
103C2×(C2×D79)⋊C4C2313yes—
104C2×(C2×D79)⋊C4C2316yes—
105C2×(C2×D79)⋊C4C2316yes—
106C2×(C2×D79)⋊C4C2313yes—
107C2×C4×Dic79C2313yes—
108C2×C4×Dic79C2313yes—
109C2×C4×Dic79C2313yes—
110C2×C4×Dic79C2311yescharacteristic
111C2×C4×Dic79C2313yes—
112C2×C4×Dic79C2313yes—
113C2×C4×Dic79C2313yes—
114C2×C4×Dic79C2313yes—
115C2×C4×Dic79C2311yescharacteristic
116C42×D79—212no—
117C79⋊#95C2311yescharacteristic
118C79⋊#95C2311yescharacteristic
119C79⋊#95C2313yes—
120C79⋊#95C2313yes—
121C79⋊#95C2313yes—
122C79⋊#95C2313yes—
123C79⋊#95C2316yes—
124C2×#41×C79—24no—
125C2×#41×C79—24no—
126C2×#41×C79C2×C418yescomplemented
127C22×Q8×C79C2311yescharacteristic
128C22×D4×C79C2313yes—
129C23×C4×C79C2313yes—
130C23×C4×C79C2313yes—
131C23×C4×C79C2313yes—
132C4×Q8×C79—24no—
133C4×Q8×C79D418yescomplemented
134C4×D4×C79—212no—
135C4×D4×C79—212no—
136#117×C79—212no—
137C2×C4⋊C4×C79C2313yes—
138C2×C4⋊C4×C79C2313yes—
139C2×C22⋊C4×C79C2316yes—
140C2×C42×C79—212no—
141C2×C42×C79C2311yescharacteristic
142C2×C42×C79C2313yes—
143C2×C42×C79C2313yes—
144C2×C42×C79C2313yes—
145C23×D79C2413yes—
146#11929625—232no—
147C2×D316—26no—
148C2×D316—26no—
149C2×D316C22×C4112yes—
150C2×C22⋊D79—26no—
151C2×C22⋊D79—26no—
152C2×C22⋊D79—46no—
153C2×C22⋊D79—46no—
154C2×C22⋊D79C22×C4112yes—
155C2×C22⋊D79C22×C4124yes—
156C22×Dic79C2413yes—
157C22×Dic79C2413yes—
158C22×Dic79C2411yescharacteristic
159C22×Dic79C2413yes—
160C22×Dic79C2411yescharacteristic
161C22×Dic79C2411yescharacteristic
162C22×Dic79C2411yescharacteristic
163C2×C4×D79—26no—
164C2×C4×D79—26no—
165C2×C4×D79—26no—
166C2×C4×D79—26no—
167C2×C4×D79—26no—
168C2×C4×D79—26no—
169C2×C4×D79—26no—
170C2×C4×D79—43no—
171C2×C4×D79C22×C4112yes—
172C4⋊Dic79—26no—
173C4⋊Dic79—26no—
174C4⋊Dic79C22×C4112yes—
175Dic79⋊C4—26no—
176Dic79⋊C4—46no—
177Dic79⋊C4C22×C414yes—
178Dic79⋊C4#4114yescomplemented
179C22⋊Dic79—26no—
180C22⋊Dic79—26no—
181C22⋊Dic79—46no—
182C22⋊Dic79C22×C4112yes—
183(C2×D79)⋊C4—26no—
184(C2×D79)⋊C4—212no—
185(C2×D79)⋊C4—26no—
186(C2×D79)⋊C4—46no—
187(C2×D79)⋊C4C22×C4112yes—
188C4×Dic79—26no—
189C4×Dic79—22no—
190C4×Dic79—26no—
191C4×Dic79—26no—
192C4×Dic79—26no—
193C4×Dic79—26no—
194C4×Dic79—43no—
195C4×Dic79C22×C4112yes—
196C4×Dic79#4114yescomplemented
197C24×C79C2413yes—
198#41×C79—232no—
199C2×Q8×C79C22×C414yes—
200C2×Q8×C79C2×D414yes—
201C2×Q8×C79#4114yes—
202C2×D4×C79—26no—
203C2×D4×C79—26no—
204C2×D4×C79C22×C4112yes—
205C22×C4×C79—26no—
206C22×C4×C79—26no—
207C22×C4×C79—26no—
208C22×C4×C79—26no—
209C22×C4×C79—26no—
210C22×C4×C79—26no—
211C22×C4×C79—26no—
212C22×C4×C79—43no—
213C22×C4×C79C22×C4112yes—
214C22×C4×C79C2413yes—
215C22×C4×C79C2411yescharacteristic
216C22×C4×C79C2413yes—
217C22×C4×C79C2411yescharacteristic
218C22×C4×C79C2413yes—
219C22×C4×C79C2411yescharacteristic
220C4⋊C4×C79—26no—
221C4⋊C4×C79C2×D4112yes—
222C22⋊C4×C79—212no—
223C42×C79—22no—
224C42×C79—26no—
225C42×C79—26no—
226C42×C79C2×D4112yes—
227C23×C79—23no—
228C23×C79—23no—
229C23×C79—23no—
230C23×C79—23no—
231C23×C79—23no—
232C23×C79—23no—
233C23×C79C23×C416yes—
234C23×C79C2511yescharacteristic
235C22×D79—23no—
236C22×D79—23no—
237C22×D79—23no—
238C22×D79—23no—
239C22×D79—23no—
240C22×D79—23no—
241C22×D79C23×C416yes—
242Q8×C79C4×D4116yescomplemented
243D4×C79—224no—
244C2×C4×C79—21no—
245C2×C4×C79—21no—
246C2×C4×C79—23no—
247C2×C4×C79—21no—
248C2×C4×C79—23no—
249C2×C4×C79—21no—
250C2×C4×C79—224no—
251C2×C4×C79—23no—
252C2×C4×C79—23no—
253C2×C4×C79—23no—
254C2×C4×C79—412no—
255C2×C4×C79—412no—
256C2×C4×C79C23×C412yes—
257C2×C4×C79C23×C416yes—
258C2×C4×C79C22×D416yes—
259C2×C4×C79C22×D416yes—
260C2×C4×C79C22×D412yes—
261C2×C4×C79C2×#4112yes—
262C2×C4×C79C2×#4112yes—
263C2×C4×C79C2×#4116yes—
264C2×C4×C79H(5,𝔽2)12yes—
265C22⋊D79—224no—
266C22⋊D79—424no—
267C2×Dic79—21no—
268C2×Dic79—21no—
269C2×Dic79—21no—
270C2×Dic79—21no—
271C2×Dic79—23no—
272C2×Dic79—21no—
273C2×Dic79—23no—
274C2×Dic79—21no—
275C2×Dic79—23no—
276C2×Dic79—23no—
277C2×Dic79—23no—
278C2×Dic79—23no—
279C2×Dic79—23no—
280C2×Dic79—23no—
281C2×Dic79C23×C416yes—
282C2×Dic79C23×C412yes—
283C2×Dic79C23×C412yes—
284C2×Dic79C2×#4112yes—
285C2×Dic79C2×#4112yes—
286C2×Dic79C2×#4112yes—
287C2×Dic79C2×#4112yes—
288D316—224no—
289C4×D79—224no—
290C4×D79—412no—
291C4×D79—412no—
292C22×C79—26no—
293C22×C79—26no—
294C22×C79—26no—
295C22×C79—43no—
296C22×C79—43no—
297C22×C79—43no—
298C22×C79—43no—
299C22×C79C24×C411yescharacteristic
300C22×C79C23×D411yescharacteristic
301C22×C79C22×#4111yescharacteristic
302C22×C79C22×#4111yescharacteristic
303C22×C79C22×#4111yescharacteristic
304C22×C79C2×H(5,𝔽2)11yescharacteristic
305C22×C79#58511yescharacteristic
306C2×D79—26no—
307C2×D79—26no—
308C2×D79—26no—
309C2×D79—43no—
310C2×D79—43no—
311C2×D79—43no—
312C2×D79—43no—
313C4×C79—22no—
314C4×C79—22no—
315C4×C79—26no—
316C4×C79—43no—
317C4×C79C2×C4×D4112yes—
318C4×C79#55014yescomplemented
319Dic79—22no—
320Dic79—26no—
321Dic79—22no—
322Dic79—22no—
323Dic79—43no—
324Dic79—43no—
325Dic79C4×#4114yescomplemented
326C4×#550—791nomaximal, Sylow
327C2×C79—46no—
328C2×C79C22×C4×D411yescharacteristic
329C2×C79C2×C4×#4111yescharacteristic
330C2×C79C4×H(5,𝔽2)11yescharacteristic
331C2×C79C2×#55011yescharacteristic
332C2×C79D4×#4111yescharacteristic
333C2×C79#348011yescharacteristic
334C2×C79#348311yescharacteristic
335D79—46no—
336C2×#550—791no—
337C2×C4×#41—791no—
338C2×C4×#41D7911yescharacteristic, complemented
339#2366—793no—
340#2363—793no—
341#2363—793no—
342#2354—793no—
343Q8×C4⋊C4—791no—
344#2341—791no—
345#2341—791no—
346C4×#127—793no—
347C4×#121—793no—
348C4×#121—793no—
349C42×Q8—791no—
350C42×D4—793no—
351C79C4×#55011yescharacteristic, complemented, Sylow
352C22×#41—791no—
353C22×#41C2×D7911yescharacteristic
354#550—7916no—
355C2×#127—793no—
356C2×#121—793no—
357C2×#121—793no—
358C4×#41—28no—
359C4×#41—1588no—
360C2×C4×Q8—791no—
361C2×C4×Q8—791no—
362C2×C4×Q8—791no—
363C2×C4×Q8C2×D7911yescharacteristic
364C2×C4×Q8C2×D7911yescharacteristic
365C2×C4×D4—796no—
366C2×C4×D4—793no—
367C2×C4×D4—793no—
368C2×C4×D4—793no—
369C2×C4×D4—793no—
370C2×C4×D4—793no—
371C2×C4×D4C2×D7913yes—
372C2×C4×D4C2×D7913yes—
373C2×#117—793no—
374C2×#117C2×D7913yes—
375C22×C42—793no—
376C22×C42C2×D7913yes—
377#390—793no—
378#390—793no—
379#390—793no—
380#390—796no—
381#390—796no—
382#390—793no—
383#389—793no—
384#389—793no—
385#388—796no—
386#388—796no—
387#386—796no—
388#386—796no—
389#384—793no—
390#380—793no—
391#380—793no—
392C4×C4⋊C4—793no—
393C4×C4⋊C4—793no—
394C4×C4⋊C4—793no—
395C4×C4⋊C4—793no—
396C4×C4⋊C4—793no—
397C4×C4⋊C4—791no—
398C4×C22⋊C4—793no—
399C4×C22⋊C4—793no—
400C4×C22⋊C4—793no—
401C4×C22⋊C4—793no—
402C4×C22⋊C4—793no—
403C4×C22⋊C4—793no—
404C43—793no—
405C2×#41—24no—
406C2×#41—24no—
407C2×#41—798no—
408C2×#41—1584no—
409C2×#41—1584no—
410C2×#41C4×D7918yescomplemented
411C22×Q8C22×D7911yescharacteristic
412C22×D4—796no—
413C22×D4—793no—
414C22×D4—793no—
415C22×D4C22×D7913yes—
416C23×C4—793no—
417C23×C4—793no—
418C23×C4—793no—
419C23×C4C22×D7913yes—
420C23×C4C22×D7913yes—
421C23×C4C22×D7913yes—
422#127—7924no—
423#121—7924no—
424#121—7924no—
425C4×Q8—24no—
426C4×Q8—798no—
427C4×Q8—1584no—
428C4×Q8—1584no—
429C4×Q8C22⋊D7918yescomplemented
430C4×D4—212no—
431C4×D4—212no—
432C4×D4—31612no—
433C4×D4—7924no—
434C4×D4—15812no—
435C4×D4—15812no—
436C4×D4—15812no—
437C4×D4—15812no—
438#117—212no—
439#117—15812no—
440C2×C4⋊C4—796no—
441C2×C4⋊C4—791no—
442C2×C4⋊C4—791no—
443C2×C4⋊C4—793no—
444C2×C4⋊C4—793no—
445C2×C4⋊C4—793no—
446C2×C4⋊C4—793no—
447C2×C4⋊C4C22×D7913yes—
448C2×C4⋊C4C22×D7913yes—
449C2×C22⋊C4—796no—
450C2×C22⋊C4—796no—
451C2×C22⋊C4—793no—
452C2×C22⋊C4—793no—
453C2×C22⋊C4—793no—
454C2×C22⋊C4—793no—
455C2×C22⋊C4—796no—
456C2×C22⋊C4—793no—
457C2×C22⋊C4—793no—
458C2×C22⋊C4C22×D7916yes—
459C2×C42—212no—
460C2×C42—793no—
461C2×C42—793no—
462C2×C42—791no—
463C2×C42—793no—
464C2×C42—793no—
465C2×C42—793no—
466C2×C42—793no—
467C2×C42—793no—
468C2×C42—791no—
469C2×C42—15812no—
470C2×C42C22×D7913yes—
471C2×C42C22×D7913yes—
472C2×C42C22×D7911yescharacteristic
473C2×C42C22×D7913yes—
474#95—791no—
475#95—791no—
476#95—793no—
477#95—793no—
478#95—793no—
479#95—793no—
480#95—796no—
481C24—793no—
482C24C23×D7913yes—
483#41—232no—
484#41—15832no—
485C2×Q8C2×C4×D7914yes—
486C2×Q8C2×C22⋊D7914yes—
487C2×Q8#1192962414yes—
488C2×D4—26no—
489C2×D4—26no—
490C2×D4—3166no—
491C2×D4—3166no—
492C2×D4—7924no—
493C2×D4—7912no—
494C2×D4—7912no—
495C2×D4—1586no—
496C2×D4—1586no—
497C2×D4—1586no—
498C2×D4—1586no—
499C2×D4C2×C4×D79112yes—
500C22×C4—26no—
501C22×C4—26no—
502C22×C4—26no—
503C22×C4—26no—
504C22×C4—26no—
505C22×C4—26no—
506C22×C4—26no—
507C22×C4—43no—
508C22×C4—3163no—
509C22×C4—791no—
510C22×C4—791no—
511C22×C4—791no—
512C22×C4—793no—
513C22×C4—791no—
514C22×C4—7912no—
515C22×C4—793no—
516C22×C4—793no—
517C22×C4—1586no—
518C22×C4—1586no—
519C22×C4—1586no—
520C22×C4—1586no—
521C22×C4—1586no—
522C22×C4—1586no—
523C22×C4—1586no—
524C22×C4C2×C4×D79112yes—
525C22×C4C23×D7913yes—
526C22×C4C23×D7911yescharacteristic
527C22×C4C23×D7911yescharacteristic
528C22×C4C23×D7913yes—
529C22×C4C23×D7913yes—
530C22×C4C23×D7911yescharacteristic
531C4⋊C4—26no—
532C4⋊C4—3166no—
533C4⋊C4—794no—
534C4⋊C4—794no—
535C4⋊C4—7912no—
536C4⋊C4—1586no—
537C4⋊C4—1586no—
538C4⋊C4—1586no—
539C4⋊C4C2×C22⋊D79112yes—
540C22⋊C4—212no—
541C22⋊C4—3166no—
542C22⋊C4—3166no—
543C22⋊C4—7912no—
544C22⋊C4—7912no—
545C22⋊C4—1586no—
546C22⋊C4—1586no—
547C22⋊C4—1586no—
548C22⋊C4—1586no—
549C22⋊C4—15812no—
550C42—22no—
551C42—26no—
552C42—26no—
553C42—3163no—
554C42—794no—
555C42—7912no—
556C42—1586no—
557C42—1586no—
558C42—1586no—
559C42—1582no—
560C42—1586no—
561C42—1586no—
562C42C2×C22⋊D79112yes—
563C23—23no—
564C23—23no—
565C23—23no—
566C23—23no—
567C23—23no—
568C23—23no—
569C23—796no—
570C23—1583no—
571C23—1583no—
572C23—1583no—
573C23—1583no—
574C23—1583no—
575C23—1583no—
576C23C22×C4×D7916yes—
577C23C24×D7911yescharacteristic
578Q8C4×C22⋊D79116yescomplemented
579D4—224no—
580D4—31624no—
581D4—15824no—
582D4—15824no—
583C2×C4—23no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—23no—
588C2×C4—21no—
589C2×C4—224no—
590C2×C4—23no—
591C2×C4—23no—
592C2×C4—23no—
593C2×C4—412no—
594C2×C4—412no—
595C2×C4—31612no—
596C2×C4—31612no—
597C2×C4—792no—
598C2×C4—792no—
599C2×C4—792no—
600C2×C4—796no—
601C2×C4—792no—
602C2×C4—792no—
603C2×C4—792no—
604C2×C4—1583no—
605C2×C4—1583no—
606C2×C4—1583no—
607C2×C4—1583no—
608C2×C4—1583no—
609C2×C4—1583no—
610C2×C4—1583no—
611C2×C4—1581no—
612C2×C4—1583no—
613C2×C4—1581no—
614C2×C4—1581no—
615C2×C4—1581no—
616C2×C4—1581no—
617C2×C4—1581no—
618C2×C4—15824no—
619C2×C4C22×C4×D7912yes—
620C2×C4C22×C4×D7916yes—
621C2×C4C22×C22⋊D7916yes—
622C2×C4C22×C22⋊D7912yes—
623C2×C4C22×C22⋊D7916yes—
624C2×C4#41×D7912yes—
625C2×C4#41×D7912yes—
626C2×C4C2×#1192962416yes—
627C2×C4#1457920712yes—
628C22—26no—
629C22—26no—
630C22—26no—
631C22—43no—
632C22—43no—
633C22—43no—
634C22—43no—
635C22—3163no—
636C22—3163no—
637C22—3163no—
638C22—3163no—
639C22—1586no—
640C22—1586no—
641C22—1586no—
642C22C23×C4×D7911yescharacteristic
643C22C23×C22⋊D7911yescharacteristic
644C22C2×#41×D7911yescharacteristic
645C22C2×#41×D7911yescharacteristic
646C22C22×#1192962411yescharacteristic
647C22C2×#1457920711yescharacteristic
648C22#1909939911yescharacteristic
649C4—22no—
650C4—22no—
651C4—26no—
652C4—43no—
653C4—3163no—
654C4—3163no—
655C4—794no—
656C4—1582no—
657C4—1586no—
658C4—1582no—
659C4—1582no—
660C4C2×C4×C22⋊D79112yes—
661C4#1909923214yesdirect product factor
662C2—46no—
663C2—3166no—
664C2C22×C4×C22⋊D7911yescharacteristic
665C2C4×#41×D7911yescharacteristic
666C2C4×#1457920711yescharacteristic
667C2C2×#1909923211yescharacteristic
668C2#41×C22⋊D7911yescharacteristic
669C2#2377699811yescharacteristic
670C2#2377702611yescharacteristic
subgroupG/H
centerC22×C4C23×D79
commutatorC22×C79C24×C4
FrattiniC23C24×D79
FittingC2×C4×#41×C79C2
socle, cosocleC23×C79C25
prime radicalC2×#19099232C2
hypercenterC2×C4×#41D79
hypocenterC79C4×#550
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22×C4 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11929625C2semidirect
3. #23766462C2semidirect
4. #23766438C2semidirect
5. #23766434C2semidirect
6. #23766350C2semidirect
7. Q8×Dic79⋊C4C2semidirect
8. #23766241C2semidirect
9. #23766238C2semidirect
10. C4×#14579157C2semidirect
11. C4×#14579135C2semidirect
12. C4×#14579132C2semidirect
13. C4×Q8×Dic79C2semidirect
14. C42×C22⋊D79C2semidirect
15. C2×C4×#41×C79C2semidirect
17. #19099232C4direct (N × H)
71. C2×#11929625C2×C4semidirect
78. #14579157C2×C4semidirect
79. #14579135C2×C4semidirect
80. #14579132C2×C4semidirect
83. Q8×Dic79C2×C4semidirect
89. C4×C22⋊D79C2×C4semidirect
126. C2×#41×C79C2×C4semidirect
133. C4×Q8×C79D4semidirect
178. Dic79⋊C4#41semidirect
196. C4×Dic79#41semidirect
242. Q8×C79C4×D4semidirect
318. C4×C79#550semidirect
325. Dic79C4×#41semidirect
338. C2×C4×#41D79semidirect
351. C79C4×#550semidirect
410. C2×#41C4×D79semidirect
429. C4×Q8C22⋊D79semidirect
578. Q8C4×C22⋊D79semidirect
661. C4#19099232direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#190992322
C2×C4×#119296252
#237664622
#237664382
#237664342
#237663502
Q8×Dic79⋊C42
#237662412
#237662382
C4×#145791572
C4×#145791352
C4×#145791322
C4×Q8×Dic792
C42×C22⋊D792
C2×C4×#41×C792
C4×#55079