Finite Group Databasebeta

← C2×#23774671 #35160477

Subgroups — C2×#23774671 #35160477

Order 20224.

1678 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099193C211yesmaximal, characteristic
2C2×#19099176C211yesmaximal, characteristic
3#23774671C2116yesmaximal, direct product factor
4C2×#19098973C211yesmaximal, characteristic, complemented
5C2×#19098933C211yesmaximal, characteristic, complemented
6C2×#19098914C211yesmaximal, characteristic, complemented
7C2×#19098900C211yesmaximal, characteristic
8C2×#19098907C211yesmaximal, characteristic
9C2×#19098906C211yesmaximal, characteristic
10C2×#19098895C211yesmaximal, characteristic
11C2×#19098873C211yesmaximal, characteristic, complemented
12C2×#19098869C211yesmaximal, characteristic, complemented
13C2×#19098857C211yesmaximal, characteristic, complemented
14C2×#19098847C211yesmaximal, characteristic, complemented
15C2×#19098622C211yesmaximal, characteristic
16C2×#499×C79C211yesmaximal, characteristic, complemented
17#19099193—24no—
18#19099193C2218yes—
19#19099176—24no—
20#19099176C2218yes—
21C2×#14579161C2211yescharacteristic
22C2×#14579161C2211yescharacteristic
23C2×#14579160—21no—
24C2×#14579160C2211yescharacteristic
25C2×#14579156—21no—
26C2×#14579156—21no—
27C2×#14579152—21no—
28C2×#14579152—21no—
29C2×#14579152C2211yescharacteristic
30C2×#14579151—21no—
31C2×#14579141—21no—
32C2×#14579141C2211yescharacteristic
33C2×#14579141C2211yescharacteristic
34C2×#14579139—21no—
35C2×#14579126C2211yescharacteristic
36C2×#14579126C2211yescharacteristic
37C2×#14579119C2211yescharacteristic
38C2×#14579118C2211yescharacteristic
39C2×C4⋊C4×D79C2211yescharacteristic
40#19098973C2218yescomplemented
41#19098933C2218yescomplemented
42#19098914C2218yescomplemented
43#19098907C2218yes—
44#19098906C2218yes—
45#19098900C2218yes—
46#19098895C2218yes—
47#19098873C2218yescomplemented
48#19098869C2218yescomplemented
49#19098857C2218yescomplemented
50#19098847C2218yescomplemented
51#19098622C2218yes—
52C2×#14579094C2211yescharacteristic
53C2×#14579094C2211yescharacteristic
54C2×#14579092C2211yescharacteristic
55C2×#14579092C2211yescharacteristic
56C2×Dic79⋊C8C2211yescharacteristic
57C2×Dic79⋊C8C2211yescharacteristic
58C2×#14579086C2211yescharacteristic
59C2×#14579086C2211yescharacteristic
60C2×#14579086C2211yescharacteristic
61C2×#14579086C2211yescharacteristic
62C2×#14579084C2211yescharacteristic
63C2×#14579084C2211yescharacteristic
64C2×#14579084C2211yescharacteristic
65C2×#14579084C2211yescharacteristic
66C2×(C2×D79)⋊C8C2211yescharacteristic
67C2×(C2×D79)⋊C8C2211yescharacteristic
68C2×#14579072C2211yescharacteristic
69C2×#125×C79C2211yescharacteristic
70C2×#125×C79C2211yescharacteristic
71#499×C79C2218yescomplemented
72C2×#107×C79C2211yescharacteristic
73C2×#107×C79C2211yescharacteristic
74C2×#106×C79C2211yescharacteristic
75C2×#106×C79C2211yescharacteristic
76C2×C4×C8×C79C2211yescharacteristic
77C22×Dic158—21no—
78C22×Dic158—21no—
79C22×Dic158C2311yescharacteristic
80C22×Dic158C2311yescharacteristic
81C22×C4×D79—21no—
82C22×C4×D79C2311yescharacteristic
83C22×C79⋊C8C2311yescharacteristic
84C22×C79⋊C8C2311yescharacteristic
85#14579161—22no—
86#14579161—22no—
87#14579161C2314yes—
88#14579161C2314yes—
89#14579160—28no—
90#14579160—22no—
91#14579160C2314yes—
92#14579156—28no—
93#14579156—28no—
94#14579152—28no—
95#14579152—28no—
96#14579152—22no—
97#14579152C2314yes—
98#14579151—28no—
99#14579141—22no—
100#14579141—22no—
101#14579141—28no—
102#14579141C2314yes—
103#14579141C2314yes—
104#14579139—28no—
105#14579126—22no—
106#14579126—22no—
107#14579126C2314yes—
108#14579126C2314yes—
109#14579119—22no—
110#14579119C2314yes—
111#14579118D414yes—
112#14579118C2314yes—
113C2×C4⋊Dic79—21no—
114C2×C4⋊Dic79—21no—
115C2×C4⋊Dic79—21no—
116C2×C4⋊Dic79—21no—
117C2×C4⋊Dic79—21no—
118C2×C4⋊Dic79—21no—
119C2×C4⋊Dic79C2311yescharacteristic
120C2×C4⋊Dic79C2311yescharacteristic
121C2×Dic79⋊C4—21no—
122C2×Dic79⋊C4—21no—
123C2×Dic79⋊C4—21no—
124C2×Dic79⋊C4—21no—
125C2×Dic79⋊C4—21no—
126C2×Dic79⋊C4D411yescharacteristic
127C2×Dic79⋊C4D411yescharacteristic
128C4⋊C4×D79—22no—
129C4⋊C4×D79C2314yes—
130C2×(C2×D79)⋊C4—21no—
131C2×(C2×D79)⋊C4—21no—
132C2×(C2×D79)⋊C4—21no—
133C2×(C2×D79)⋊C4D411yescharacteristic
134C2×(C2×D79)⋊C4D411yescharacteristic
135C2×C4×Dic79—21no—
136C2×C4×Dic79—21no—
137C2×C4×Dic79—21no—
138C2×C4×Dic79C2311yescharacteristic
139#14579094C2314yes—
140#14579094C2314yes—
141#14579092C2314yes—
142#14579092C2314yes—
143Dic79⋊C8C2314yes—
144Dic79⋊C8C2314yes—
145#14579086C2314yes—
146#14579086C2314yes—
147#14579086C2314yes—
148#14579086C2314yes—
149#14579084C2314yes—
150#14579084C2314yes—
151#14579084C2314yes—
152#14579084C2314yes—
153(C2×D79)⋊C8C2314yes—
154(C2×D79)⋊C8C2314yes—
155#14579072C2314yes—
156C22×C8×C79C2311yescharacteristic
157C22×C8×C79C2311yescharacteristic
158#125×C79—22no—
159#125×C79—22no—
160#125×C79C2314yes—
161#125×C79C2314yes—
162C2×C4⋊C4×C79—21no—
163C2×C4⋊C4×C79—21no—
164C2×C4⋊C4×C79—21no—
165C2×C4⋊C4×C79—21no—
166C2×C4⋊C4×C79C2311yescharacteristic
167C2×C4⋊C4×C79C2311yescharacteristic
168C2×C4⋊C4×C79C2311yescharacteristic
169C2×C4⋊C4×C79C2311yescharacteristic
170C2×C42×C79C2311yescharacteristic
171#107×C79C2314yes—
172#107×C79C2314yes—
173#106×C79C2314yes—
174#106×C79C2314yes—
175C4×C8×C79C2314yes—
176C23×D79C2×D411yescharacteristic
177C2×Dic158—24no—
178C2×Dic158—21no—
179C2×Dic158—21no—
180C2×Dic158—24no—
181C2×Dic158—22no—
182C2×Dic158—22no—
183C2×Dic158—22no—
184C2×Dic158—22no—
185C2×Dic158—82no—
186C2×Dic158—82no—
187C2×Dic158C2412yes—
188C2×Dic158C2412yes—
189C22×Dic79—21no—
190C22×Dic79—21no—
191C22×Dic79—21no—
192C22×Dic79—21no—
193C22×Dic79C2×D411yescharacteristic
194C22×Dic79C2×D411yescharacteristic
195C22×Dic79C2×D411yescharacteristic
196C2×C4×D79—24no—
197C2×C4×D79—22no—
198C2×C4×D79—22no—
199C2×C4×D79—82no—
200C2×C4×D79C2×D412yes—
201C2×C4×D79C2412yes—
202C2×C79⋊C8—22no—
203C2×C79⋊C8—22no—
204C2×C79⋊C8C2412yes—
205C2×C79⋊C8C2412yes—
206C4⋊Dic79—24no—
207C4⋊Dic79—24no—
208C4⋊Dic79—24no—
209C4⋊Dic79—21no—
210C4⋊Dic79—24no—
211C4⋊Dic79—24no—
212C4⋊Dic79—24no—
213C4⋊Dic79—21no—
214C4⋊Dic79C2412yes—
215C4⋊Dic79C2412yes—
216Dic79⋊C4—24no—
217Dic79⋊C4—24no—
218Dic79⋊C4—24no—
219Dic79⋊C4—24no—
220Dic79⋊C4—24no—
221Dic79⋊C4C2×D414yes—
222Dic79⋊C4C2×D414yes—
223(C2×D79)⋊C4—24no—
224(C2×D79)⋊C4—24no—
225(C2×D79)⋊C4—24no—
226(C2×D79)⋊C4C2×D414yes—
227(C2×D79)⋊C4C2×D414yes—
228C4×Dic79—24no—
229C4×Dic79—24no—
230C4×Dic79—24no—
231C4×Dic79C2×D412yes—
232C4×Dic79C2412yes—
233C22×C4×C79—21no—
234C22×C4×C79—21no—
235C22×C4×C79—21no—
236C22×C4×C79—21no—
237C22×C4×C79C2×D411yescharacteristic
238C22×C4×C79C2×D411yescharacteristic
239C22×C4×C79C2411yescharacteristic
240C2×C8×C79—22no—
241C2×C8×C79—22no—
242C2×C8×C79C2412yes—
243C2×C8×C79C2412yes—
244C4⋊C4×C79—24no—
245C4⋊C4×C79—24no—
246C4⋊C4×C79—24no—
247C4⋊C4×C79—24no—
248C4⋊C4×C79—21no—
249C4⋊C4×C79—21no—
250C4⋊C4×C79—21no—
251C4⋊C4×C79—21no—
252C4⋊C4×C79C2412yes—
253C4⋊C4×C79C2412yes—
254C4⋊C4×C79C2412yes—
255C4⋊C4×C79C2412yes—
256C42×C79C2×D412yes—
257C42×C79C2412yes—
258C23×C79C22×D411yescharacteristic
259C22×D79—22no—
260C22×D79—22no—
261C22×D79—22no—
262C22×D79C22×D412yes—
263C2×C4×C79—22no—
264C2×C4×C79—22no—
265C2×C4×C79—22no—
266C2×C4×C79—22no—
267C2×C4×C79—22no—
268C2×C4×C79—22no—
269C2×C4×C79—42no—
270C2×C4×C79—42no—
271C2×C4×C79—42no—
272C2×C4×C79—42no—
273C2×C4×C79C22×D412yes—
274C2×C4×C79C22×D412yes—
275C2×C4×C79C22×D411yescharacteristic
276C2×C4×C792−1+412yes—
277C2×C4×C792−1+412yes—
278C2×C4×C79C2511yescharacteristic
279C2×Dic79—22no—
280C2×Dic79—22no—
281C2×Dic79—22no—
282C2×Dic79—22no—
283C2×Dic79—22no—
284C2×Dic79—22no—
285C2×Dic79—22no—
286C2×Dic79—42no—
287C2×Dic79—42no—
288C2×Dic79—42no—
289C2×Dic79—42no—
290C2×Dic79C22×D412yes—
291C2×Dic79C22×D412yes—
292C2×Dic79C22×D412yes—
293C4×D79—24no—
294C4×D79—22no—
295C4×D79—22no—
296C4×D79—84no—
297Dic158—22no—
298Dic158—22no—
299Dic158—22no—
300Dic158—22no—
301Dic158—42no—
302Dic158—42no—
303Dic158—84no—
304Dic158—84no—
305C8×C79—22no—
306C8×C79—22no—
307C79⋊C8—22no—
308C79⋊C8—22no—
309C22×C79#53612yes—
310C22×C79#57712yes—
311C22×C79#57812yes—
312C22×C79C23×D411yescharacteristic
313C2×D79—22no—
314C2×D79—22no—
315C2×D79—22no—
316C2×D79—44no—
317C4×C79—22no—
318C4×C79—22no—
319C4×C79—42no—
320C4×C79—42no—
321C4×C79—42no—
322C4×C79—42no—
323C4×C79#53612yes—
324C4×C79C2×2−1+411yescharacteristic
325C4×C79C2×2−1+411yescharacteristic
326Dic79—22no—
327Dic79—22no—
328Dic79—22no—
329Dic79—42no—
330Dic79—42no—
331Dic79—42no—
332Dic79—42no—
333C2×#3242—791nomaximal, Sylow
334C2×C79#324214yescomplemented
335C2×C79C2×#53611yescharacteristic
336C2×C79C2×#57711yescharacteristic
337C2×C79C2×#57811yescharacteristic
338D79—42no—
339C2×#544—791no—
340C2×#541—791no—
341#3242—7916no—
342C2×#501—791no—
343C2×#499D7911yescharacteristic, complemented
344C2×#491—791no—
345C2×#487—791no—
346C2×#484—791no—
347C2×#485—791no—
348C2×#485—791no—
349C2×#483—791no—
350C2×#479—791no—
351C2×#479—791no—
352C2×#477—791no—
353C2×#475—791no—
354C2×#433—791no—
355C79C2×#324211yescharacteristic, complemented, Sylow
356#544—798no—
357#544—1584no—
358#541—798no—
359#541—1584no—
360C2×C4⋊Q8—791no—
361C2×C4⋊Q8—791no—
362C2×C4⋊Q8—791no—
363C2×C4⋊Q8—1581no—
364C2×#126—1581no—
365C2×#126—1581no—
366C2×#125—791no—
367C2×#125—1581no—
368C2×#125—1581no—
369C2×#125—1581no—
370C2×#125C2×D7911yescharacteristic
371C2×#125C2×D7911yescharacteristic
372C2×C22⋊Q8—791no—
373C2×C22⋊Q8—791no—
374C2×C22⋊Q8—1581no—
375C2×C22⋊Q8—1581no—
376C2×C4×Q8—791no—
377C2×C4×Q8—791no—
378C2×#117—791no—
379C2×#117—791no—
380C22×C4⋊C4—791no—
381#501—798no—
382#499C2×D7918yescomplemented
383#491—798no—
384#487—798no—
385#485—798no—
386#485—798no—
387#484—798no—
388#483—798no—
389#479—798no—
390#479—798no—
391#477—798no—
392#475—798no—
393#433—798no—
394C2×#107—791no—
395C2×#107—791no—
396C2×#107C2×D7911yescharacteristic
397C2×#107C2×D7911yescharacteristic
398C2×#106—791no—
399C2×#106—791no—
400C2×#106C2×D7911yescharacteristic
401C2×#106C2×D7911yescharacteristic
402C2×C4⋊C8—791no—
403C2×C4⋊C8—791no—
404C2×#103—791no—
405C2×#103—791no—
406C2×#103—791no—
407C2×#103—791no—
408C2×#103—791no—
409C2×#103—791no—
410C2×#103—791no—
411C2×#103—791no—
412C2×C22⋊C8—791no—
413C2×C22⋊C8—791no—
414C2×#97—791no—
415C2×C4×C8C2×D7911yescharacteristic
416C22×Q8—791no—
417C22×Q8—791no—
418C22×Q8—1581no—
419C22×Q8—1581no—
420C23×C4—791no—
421C23×C4—1581no—
422C22×C8—791no—
423C22×C8—791no—
424C22×C8C22×D7911yescharacteristic
425C22×C8C22×D7911yescharacteristic
426C4⋊Q8—794no—
427C4⋊Q8—794no—
428C4⋊Q8—794no—
429C4⋊Q8—1582no—
430C4⋊Q8—1588no—
431C4⋊Q8—1582no—
432C4⋊Q8—1582no—
433#126—1588no—
434#126—1588no—
435#125—22no—
436#125—22no—
437#125—794no—
438#125—1582no—
439#125—1588no—
440#125—1588no—
441#125—1588no—
442#125C22×D7914yes—
443#125C22×D7914yes—
444C22⋊Q8—794no—
445C22⋊Q8—794no—
446C22⋊Q8—1588no—
447C22⋊Q8—1588no—
448C22⋊Q8—1582no—
449C22⋊Q8—1582no—
450C4×Q8—794no—
451C4×Q8—794no—
452C4×Q8—1582no—
453C4×Q8—1582no—
454#117—794no—
455#117—794no—
456#117—794no—
457#117—1582no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—791no—
463C2×C4⋊C4—791no—
464C2×C4⋊C4—791no—
465C2×C4⋊C4—791no—
466C2×C4⋊C4—794no—
467C2×C4⋊C4—1582no—
468C2×C4⋊C4—1581no—
469C2×C4⋊C4—1581no—
470C2×C4⋊C4—1581no—
471C2×C4⋊C4—1581no—
472C2×C4⋊C4—1581no—
473C2×C4⋊C4—1581no—
474C2×C4⋊C4—1581no—
475C2×C4⋊C4—1581no—
476C2×C4⋊C4—1581no—
477C2×C4⋊C4—1581no—
478C2×C4⋊C4—1581no—
479C2×C4⋊C4C22×D7911yescharacteristic
480C2×C4⋊C4C22×D7911yescharacteristic
481C2×C4⋊C4C22×D7911yescharacteristic
482C2×C4⋊C4C22×D7911yescharacteristic
483C2×C22⋊C4—791no—
484C2×C22⋊C4—791no—
485C2×C22⋊C4—1581no—
486C2×C22⋊C4—1581no—
487C2×C22⋊C4—1581no—
488C2×C42—791no—
489C2×C42—1581no—
490C2×C42—1581no—
491C2×C42—1581no—
492C2×C42C22×D7911yescharacteristic
493#107—794no—
494#107—794no—
495#107C22×D7914yes—
496#107C22×D7914yes—
497#106—794no—
498#106—794no—
499#106C22×D7914yes—
500#106C22×D7914yes—
501C4⋊C8—794no—
502C4⋊C8—794no—
503#103—794no—
504#103—794no—
505#103—794no—
506#103—794no—
507#103—794no—
508#103—794no—
509#103—794no—
510#103—794no—
511C22⋊C8—794no—
512C22⋊C8—794no—
513#97—794no—
514C4×C8C22×D7914yes—
515C24—791no—
516C2×Q8—792no—
517C2×Q8—792no—
518C2×Q8—6322no—
519C2×Q8—6322no—
520C2×Q8—1584no—
521C2×Q8—1582no—
522C2×Q8—1582no—
523C2×Q8—1582no—
524C2×Q8—1582no—
525C2×Q8—1581no—
526C2×Q8—1581no—
527C2×Q8—1584no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—791no—
533C22×C4—791no—
534C22×C4—791no—
535C22×C4—792no—
536C22×C4—792no—
537C22×C4—6322no—
538C22×C4—1584no—
539C22×C4—1581no—
540C22×C4—1581no—
541C22×C4—1581no—
542C22×C4—1581no—
543C22×C4—1582no—
544C22×C4—1582no—
545C22×C4D4×D7911yescharacteristic
546C22×C4D4×D7911yescharacteristic
547C22×C4C23×D7911yescharacteristic
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—792no—
551C2×C8—792no—
552C2×C8—1582no—
553C2×C8—1582no—
554C2×C8C23×D7912yes—
555C2×C8C23×D7912yes—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—794no—
565C4⋊C4—794no—
566C4⋊C4—792no—
567C4⋊C4—792no—
568C4⋊C4—1584no—
569C4⋊C4—1584no—
570C4⋊C4—1584no—
571C4⋊C4—1584no—
572C4⋊C4—1584no—
573C4⋊C4—1584no—
574C4⋊C4—1584no—
575C4⋊C4—1584no—
576C4⋊C4—1581no—
577C4⋊C4—1581no—
578C4⋊C4—1584no—
579C4⋊C4—1584no—
580C4⋊C4—1584no—
581C4⋊C4C23×D7912yes—
582C4⋊C4C23×D7912yes—
583C4⋊C4C23×D7912yes—
584C4⋊C4C23×D7912yes—
585C22⋊C4—794no—
586C22⋊C4—794no—
587C22⋊C4—1584no—
588C22⋊C4—1584no—
589C22⋊C4—1584no—
590C42—792no—
591C42—792no—
592C42—1584no—
593C42—1584no—
594C42—1584no—
595C42D4×D7912yes—
596C42C23×D7912yes—
597C23—792no—
598C23—1582no—
599C23—1582no—
600C23—1582no—
601C23C2×D4×D7911yescharacteristic
602Q8—3162no—
603Q8—3162no—
604Q8—6324no—
605Q8—6324no—
606Q8—1582no—
607Q8—1582no—
608Q8—1582no—
609Q8—1582no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—3162no—
621C2×C4—3162no—
622C2×C4—3162no—
623C2×C4—3162no—
624C2×C4—792no—
625C2×C4—792no—
626C2×C4—792no—
627C2×C4—6324no—
628C2×C4—1582no—
629C2×C4—1582no—
630C2×C4—1582no—
631C2×C4—1582no—
632C2×C4—1582no—
633C2×C4—1582no—
634C2×C4—1582no—
635C2×C4—1584no—
636C2×C4—1582no—
637C2×C4—1582no—
638C2×C4C2×D4×D7912yes—
639C2×C4C2×D4×D7912yes—
640C2×C4C2×D4×D7911yescharacteristic
641C2×C4#1457920912yes—
642C2×C4#1457920912yes—
643C2×C4C24×D7911yescharacteristic
644C8—22no—
645C8—22no—
646C8—1582no—
647C8—1582no—
648C22—3164no—
649C22—1582no—
650C22—1582no—
651C22—1582no—
652C22#1909913812yes—
653C22#1909937012yes—
654C22#1909937712yes—
655C22C22×D4×D7911yescharacteristic
656C4—22no—
657C4—22no—
658C4—42no—
659C4—42no—
660C4—42no—
661C4—42no—
662C4—3162no—
663C4—3162no—
664C4—3162no—
665C4—3162no—
666C4—1582no—
667C4—1582no—
668C4—1582no—
669C4#1909913812yes—
670C4C2×#1457920911yescharacteristic
671C4C2×#1457920911yescharacteristic
672C2—3162no—
673C2#2377467114yesdirect product factor
674C2C2×#1909913811yescharacteristic
675C2C2×#1909937011yescharacteristic
676C2C2×#1909937711yescharacteristic
subgroupG/H
centerC23C2×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC2×#499×C79C2
socleC23×C79C22×D4
prime radicalC23×D79C2×D4
hypercenterC2×#499D79
hypocenterC79C2×#3242
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#499

Complements

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

NH ≅ G/Ntype
3. #23774671C2direct (N × H)
4. C2×#19098973C2semidirect
5. C2×#19098933C2semidirect
6. C2×#19098914C2semidirect
11. C2×#19098873C2semidirect
12. C2×#19098869C2semidirect
13. C2×#19098857C2semidirect
14. C2×#19098847C2semidirect
16. C2×#499×C79C2semidirect
40. #19098973C22semidirect
41. #19098933C22semidirect
42. #19098914C22semidirect
47. #19098873C22semidirect
48. #19098869C22semidirect
49. #19098857C22semidirect
50. #19098847C22semidirect
71. #499×C79C22semidirect
334. C2×C79#3242semidirect
343. C2×#499D79semidirect
355. C79C2×#3242semidirect
382. #499C2×D79semidirect
673. C2#23774671direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#190991932
C2×#190991762
#237746712
C2×#190989732
C2×#190989332
C2×#190989142
C2×#190989002
C2×#190989072
C2×#190989062
C2×#190988952
C2×#190988732
C2×#190988692
C2×#190988572
C2×#190988472
C2×#190986222
C2×#499×C792
C2×#324279