Finite Group Databasebeta

← C2×#23774557 #35160335

Subgroups — C2×#23774557 #35160335

Order 20224.

1778 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099116C211yesmaximal, characteristic
2C2×#19099115C211yesmaximal, characteristic
3#23774557C2116yesmaximal, direct product factor
4C2×#19098967C211yesmaximal, characteristic, complemented
5C2×#19098960C211yesmaximal, characteristic, complemented
6C2×#19098912C211yesmaximal, characteristic, complemented
7C2×#19098912C211yesmaximal, characteristic, complemented
8C2×#19098905C211yesmaximal, characteristic
9C2×#19098904C211yesmaximal, characteristic
10C2×#19098901C211yesmaximal, characteristic
11C2×#19098873C211yesmaximal, characteristic, complemented
12C2×#19098872C211yesmaximal, characteristic, complemented
13C2×#19098869C211yesmaximal, characteristic, complemented
14C2×#19098868C211yesmaximal, characteristic, complemented
15C2×#19098613C211yesmaximal, characteristic
16C2×#485×C79C211yesmaximal, characteristic
17#19099116—24no—
18#19099116C2218yes—
19#19099115—24no—
20#19099115C2218yes—
21C2×#14579160C2211yescharacteristic
22C2×#14579160C2211yescharacteristic
23C2×#14579160C2211yescharacteristic
24C2×#14579159C2211yescharacteristic
25C2×#14579152C2211yescharacteristic
26C2×#14579152C2211yescharacteristic
27C2×#14579151—21no—
28C2×#14579140C2211yescharacteristic
29C2×#14579138—21no—
30C2×#14579138—21no—
31C2×#14579138—21no—
32C2×Q8×Dic79C2211yescharacteristic
33C2×C4×Dic158—21no—
34C2×C4×Dic158—21no—
35C2×#14579126—21no—
36C2×#14579126C2211yescharacteristic
37C2×#14579120C2211yescharacteristic
38C2×#14579117—21no—
39C22×C4×Dic79C2211yescharacteristic
40#19098967C2218yescomplemented
41#19098960C2218yescomplemented
42#19098912C2218yescomplemented
43#19098912C2218yescomplemented
44#19098905C2218yes—
45#19098904C2218yes—
46#19098901C2218yes—
47#19098873C2218yescomplemented
48#19098872C2218yescomplemented
49#19098869C2218yescomplemented
50#19098868C2218yescomplemented
51#19098613C2218yes—
52C2×#14579095C2211yescharacteristic
53C2×#14579094C2211yescharacteristic
54C2×#14579094C2211yescharacteristic
55C2×#14579093C2211yescharacteristic
56C2×#14579092C2211yescharacteristic
57C2×#14579092C2211yescharacteristic
58C2×Dic79⋊C8C2211yescharacteristic
59C2×Dic79⋊C8C2211yescharacteristic
60C2×#14579086C2211yescharacteristic
61C2×#14579086C2211yescharacteristic
62C2×#14579085C2211yescharacteristic
63C2×#14579085C2211yescharacteristic
64C2×#14579084C2211yescharacteristic
65C2×#14579084C2211yescharacteristic
66C2×C22⋊(C79⋊C8)C2211yescharacteristic
67C2×C8×Dic79C2211yescharacteristic
68C2×C8×Dic79C2211yescharacteristic
69C2×C22⋊Q8×C79C2211yescharacteristic
70C2×#117×C79C2211yescharacteristic
71#485×C79C2218yes—
72C2×#107×C79C2211yescharacteristic
73C2×#106×C79C2211yescharacteristic
74C2×#103×C79C2211yescharacteristic
75C2×#103×C79C2211yescharacteristic
76C2×C22⋊C8×C79C2211yescharacteristic
77C22×Dic158—21no—
78C22×Dic158—21no—
79C22×Dic158—21no—
80C22×Dic158C2311yescharacteristic
81C23×Dic79D411yescharacteristic
82C23×Dic79D411yescharacteristic
83C22×C79⋊C8C2311yescharacteristic
84C22×C79⋊C8C2311yescharacteristic
85#14579160—22no—
86#14579160—22no—
87#14579160—22no—
88#14579160C2314yes—
89#14579160C2314yes—
90#14579160C2314yes—
91#14579159—22no—
92#14579159C2314yes—
93#14579152—22no—
94#14579152—22no—
95#14579152C2314yes—
96#14579152C2314yes—
97#14579151—28no—
98#14579140—22no—
99#14579140C2314yes—
100#14579138—28no—
101#14579138—28no—
102#14579138—28no—
103Q8×Dic79—22no—
104Q8×Dic79C2314yes—
105C4×Dic158—28no—
106C4×Dic158—28no—
107#14579126—28no—
108#14579126—22no—
109#14579126C2314yes—
110#14579120—22no—
111#14579120C2314yes—
112#14579117—28no—
113C2×C4⋊Dic79—21no—
114C2×C4⋊Dic79—21no—
115C2×C4⋊Dic79—21no—
116C2×C4⋊Dic79C2311yescharacteristic
117C2×C4⋊Dic79C2311yescharacteristic
118C2×C4⋊Dic79C2311yescharacteristic
119C2×Dic79⋊C4—21no—
120C2×Dic79⋊C4—21no—
121C2×Dic79⋊C4—21no—
122C2×Dic79⋊C4—21no—
123C2×Dic79⋊C4—21no—
124C2×Dic79⋊C4—21no—
125C2×Dic79⋊C4—21no—
126C2×Dic79⋊C4—21no—
127C2×Dic79⋊C4—21no—
128C2×C22⋊Dic79—21no—
129C2×C22⋊Dic79—21no—
130C2×C4×Dic79—21no—
131C2×C4×Dic79—21no—
132C2×C4×Dic79—21no—
133C2×C4×Dic79D411yescharacteristic
134C2×C4×Dic79D411yescharacteristic
135C2×C4×Dic79D414yes—
136C2×C4×Dic79C2311yescharacteristic
137C2×C4×Dic79C2311yescharacteristic
138C2×C4×Dic79C2314yes—
139#14579095C2314yes—
140#14579094C2314yes—
141#14579094C2314yes—
142#14579093C2314yes—
143#14579092C2314yes—
144#14579092C2314yes—
145Dic79⋊C8C2314yes—
146Dic79⋊C8C2314yes—
147#14579086C2314yes—
148#14579086C2314yes—
149#14579085C2314yes—
150#14579085C2314yes—
151#14579084C2314yes—
152#14579084C2314yes—
153C22⋊(C79⋊C8)C2314yes—
154C8×Dic79C2314yes—
155C8×Dic79C2314yes—
156C22×Q8×C79C2311yescharacteristic
157C23×C4×C79C2311yescharacteristic
158C22×C8×C79C2311yescharacteristic
159C22×C8×C79C2311yescharacteristic
160C22⋊Q8×C79—22no—
161C22⋊Q8×C79C2314yes—
162#117×C79—22no—
163#117×C79C2314yes—
164C2×C4⋊C4×C79—21no—
165C2×C4⋊C4×C79C2311yescharacteristic
166C2×C4⋊C4×C79C2311yescharacteristic
167C2×C4⋊C4×C79C2311yescharacteristic
168C2×C22⋊C4×C79—21no—
169C2×C22⋊C4×C79—21no—
170C2×C42×C79—21no—
171#107×C79C2314yes—
172#106×C79C2314yes—
173#103×C79C2314yes—
174#103×C79C2314yes—
175C22⋊C8×C79C2314yes—
176C2×Dic158—24no—
177C2×Dic158—24no—
178C2×Dic158—24no—
179C2×Dic158—21no—
180C2×Dic158—22no—
181C2×Dic158—22no—
182C2×Dic158—44no—
183C2×Dic158—44no—
184C2×Dic158—44no—
185C2×Dic158C2412yes—
186C22×Dic79—24no—
187C22×Dic79—24no—
188C22×Dic79—21no—
189C22×Dic79—21no—
190C22×Dic79—21no—
191C22×Dic79—21no—
192C22×Dic79C2×D411yescharacteristic
193C22×Dic79C2×D411yescharacteristic
194C22×Dic79C2×D414yes—
195C22×Dic79C2×D414yes—
196C22×Dic79C2×D411yescharacteristic
197C22×Dic79C2×D411yescharacteristic
198C2×C79⋊C8—22no—
199C2×C79⋊C8—22no—
200C2×C79⋊C8C2412yes—
201C2×C79⋊C8C2412yes—
202C4⋊Dic79—24no—
203C4⋊Dic79—24no—
204C4⋊Dic79—24no—
205C4⋊Dic79—21no—
206C4⋊Dic79—21no—
207C4⋊Dic79—21no—
208C4⋊Dic79C2412yes—
209C4⋊Dic79C2412yes—
210C4⋊Dic79C2412yes—
211Dic79⋊C4—24no—
212Dic79⋊C4—24no—
213Dic79⋊C4—24no—
214Dic79⋊C4—24no—
215Dic79⋊C4—24no—
216Dic79⋊C4—24no—
217Dic79⋊C4—24no—
218Dic79⋊C4—24no—
219Dic79⋊C4—24no—
220C22⋊Dic79—24no—
221C22⋊Dic79—24no—
222C4×Dic79—24no—
223C4×Dic79—24no—
224C4×Dic79—24no—
225C4×Dic79C2×D414yes—
226C4×Dic79C2×D412yes—
227C4×Dic79C2×D414yes—
228C4×Dic79C2×D412yes—
229C4×Dic79C2412yes—
230C4×Dic79C2412yes—
231C24×C79C2×D411yescharacteristic
232C2×Q8×C79—21no—
233C2×Q8×C79—22no—
234C2×Q8×C79—22no—
235C2×Q8×C79C2412yes—
236C22×C4×C79—22no—
237C22×C4×C79—22no—
238C22×C4×C79—21no—
239C22×C4×C79—21no—
240C22×C4×C79—21no—
241C22×C4×C79—21no—
242C22×C4×C79C2×D411yescharacteristic
243C22×C4×C79C2×D412yes—
244C22×C4×C79C2412yes—
245C22×C4×C79C2411yescharacteristic
246C2×C8×C79—22no—
247C2×C8×C79—22no—
248C2×C8×C79C2412yes—
249C2×C8×C79C2412yes—
250C4⋊C4×C79—24no—
251C4⋊C4×C79—21no—
252C4⋊C4×C79—21no—
253C4⋊C4×C79—21no—
254C4⋊C4×C79C2412yes—
255C4⋊C4×C79C2412yes—
256C4⋊C4×C79C2412yes—
257C22⋊C4×C79—24no—
258C22⋊C4×C79—24no—
259C42×C79—24no—
260C23×C79—22no—
261C23×C79—22no—
262C23×C79—22no—
263C23×C79C22×D412yes—
264C23×C79C22×D411yescharacteristic
265Q8×C79—22no—
266Q8×C79—22no—
267Q8×C79—42no—
268C2×C4×C79—22no—
269C2×C4×C79—24no—
270C2×C4×C79—22no—
271C2×C4×C79—22no—
272C2×C4×C79—22no—
273C2×C4×C79—22no—
274C2×C4×C79—22no—
275C2×C4×C79—22no—
276C2×C4×C79—42no—
277C2×C4×C79—42no—
278C2×C4×C79—42no—
279C2×C4×C79—42no—
280C2×C4×C79C22×D412yes—
281C2×C4×C79C22×D411yescharacteristic
282C2×C4×C792−1+412yes—
283C2×C4×C792−1+412yes—
284C2×C4×C79C2511yescharacteristic
285C2×Dic79—22no—
286C2×Dic79—22no—
287C2×Dic79—28no—
288C2×Dic79—28no—
289C2×Dic79—22no—
290C2×Dic79—22no—
291C2×Dic79—22no—
292C2×Dic79—22no—
293C2×Dic79—42no—
294C2×Dic79—42no—
295C2×Dic79—42no—
296C2×Dic79—42no—
297C2×Dic79#13514yes—
298C2×Dic79#13714yes—
299C2×Dic79C22×D412yes—
300C2×Dic79C22×D412yes—
301C2×Dic79C22×D412yes—
302C2×Dic79C22×D412yes—
303Dic158—22no—
304Dic158—22no—
305Dic158—42no—
306Dic158—48no—
307Dic158—48no—
308Dic158—48no—
309C8×C79—22no—
310C8×C79—22no—
311C79⋊C8—22no—
312C79⋊C8—22no—
313C22×C79—22no—
314C22×C79—22no—
315C22×C79—22no—
316C22×C79—44no—
317C22×C79#53612yes—
318C22×C79C2×#13512yes—
319C22×C79C2×#13712yes—
320C22×C79C23×D411yescharacteristic
321C4×C79—22no—
322C4×C79—42no—
323C4×C79—42no—
324C4×C79—42no—
325C4×C79—42no—
326C4×C79#53612yes—
327C4×C79C2×2−1+411yescharacteristic
328C4×C79C2×2−1+411yescharacteristic
329Dic79—22no—
330Dic79—22no—
331Dic79—42no—
332Dic79—42no—
333Dic79—42no—
334Dic79—42no—
335Dic79C2×#13514yes—
336Dic79C2×#13714yes—
337C2×#3231—791nomaximal, Sylow
338C2×C79—42no—
339C2×C79#323114yescomplemented
340C2×C79C2×#53611yescharacteristic
341C2×C79C22×#13511yescharacteristic
342C2×C79C22×#13711yescharacteristic
343C2×#533—791no—
344C2×#533—791no—
345#3231—7916no—
346C2×#500—791no—
347C2×#498—791no—
348C2×#487—791no—
349C2×#487—791no—
350C2×#485—791no—
351C2×#485—791no—
352C2×#485—791no—
353C2×#485D7911yescharacteristic
354C2×#479—791no—
355C2×#479—791no—
356C2×#479—791no—
357C2×#479—791no—
358C2×#431—791no—
359C79C2×#323111yescharacteristic, complemented, Sylow
360#533—798no—
361#533—798no—
362#533—1584no—
363#533—1584no—
364C2×C4⋊Q8—791no—
365C2×C4⋊Q8—791no—
366C2×C4⋊Q8—791no—
367C2×C4⋊Q8—791no—
368C2×#125—791no—
369C2×#125—791no—
370C2×#125—1581no—
371C2×C22⋊Q8—791no—
372C2×C22⋊Q8—1581no—
373C2×C22⋊Q8—1581no—
374C2×C22⋊Q8—1581no—
375C2×C22⋊Q8C2×D7911yescharacteristic
376C2×C4×Q8—791no—
377C2×C4×Q8—791no—
378C2×C4×Q8—1581no—
379C2×C4×Q8—1581no—
380C2×C4×Q8—1581no—
381C2×#117—791no—
382C2×#117—1581no—
383C2×#117C2×D7911yescharacteristic
384C22×C42—791no—
385#500—798no—
386#498—798no—
387#487—798no—
388#487—798no—
389#485—798no—
390#485—798no—
391#485—798no—
392#485C2×D7918yes—
393#479—798no—
394#479—798no—
395#479—798no—
396#479—798no—
397#431—798no—
398C2×#107—791no—
399C2×#107—791no—
400C2×#107—791no—
401C2×#107C2×D7911yescharacteristic
402C2×#106—791no—
403C2×#106—791no—
404C2×#106—791no—
405C2×#106C2×D7911yescharacteristic
406C2×C4⋊C8—791no—
407C2×C4⋊C8—791no—
408C2×#103—791no—
409C2×#103—791no—
410C2×#103—791no—
411C2×#103—791no—
412C2×#103—791no—
413C2×#103—791no—
414C2×#103C2×D7911yescharacteristic
415C2×#103C2×D7911yescharacteristic
416C2×C22⋊C8—791no—
417C2×C22⋊C8C2×D7911yescharacteristic
418C2×C4×C8—791no—
419C2×C4×C8—791no—
420C22×Q8—791no—
421C22×Q8—1581no—
422C22×Q8—1581no—
423C22×Q8—1581no—
424C22×Q8C22×D7911yescharacteristic
425C23×C4—791no—
426C23×C4—791no—
427C23×C4C22×D7911yescharacteristic
428C22×C8—791no—
429C22×C8—791no—
430C22×C8C22×D7911yescharacteristic
431C22×C8C22×D7911yescharacteristic
432C4⋊Q8—794no—
433C4⋊Q8—794no—
434C4⋊Q8—794no—
435C4⋊Q8—794no—
436C4⋊Q8—1582no—
437C4⋊Q8—1582no—
438C4⋊Q8—1582no—
439C4⋊Q8—1582no—
440#125—794no—
441#125—794no—
442#125—1582no—
443#125—1582no—
444#125—1588no—
445C22⋊Q8—22no—
446C22⋊Q8—794no—
447C22⋊Q8—1588no—
448C22⋊Q8—1588no—
449C22⋊Q8—1588no—
450C22⋊Q8—1582no—
451C22⋊Q8C22×D7914yes—
452C4×Q8—794no—
453C4×Q8—794no—
454C4×Q8—1588no—
455C4×Q8—1588no—
456C4×Q8—1582no—
457C4×Q8—1588no—
458C4×Q8—1582no—
459#117—22no—
460#117—794no—
461#117—1588no—
462#117—1582no—
463#117C22×D7914yes—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—791no—
466C2×C4⋊C4—791no—
467C2×C4⋊C4—791no—
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⋊C4—1581no—
480C2×C4⋊C4C22×D7911yescharacteristic
481C2×C4⋊C4C22×D7911yescharacteristic
482C2×C4⋊C4C22×D7911yescharacteristic
483C2×C22⋊C4—21no—
484C2×C22⋊C4—21no—
485C2×C22⋊C4—1581no—
486C2×C22⋊C4—1581no—
487C2×C42—21no—
488C2×C42—791no—
489C2×C42—791no—
490C2×C42—794no—
491C2×C42—791no—
492C2×C42—791no—
493C2×C42—794no—
494C2×C42—1581no—
495C2×C42—1581no—
496C2×C42—1581no—
497#107—794no—
498#107—794no—
499#107—794no—
500#107C22×D7914yes—
501#106—794no—
502#106—794no—
503#106—794no—
504#106C22×D7914yes—
505C4⋊C8—794no—
506C4⋊C8—794no—
507#103—794no—
508#103—794no—
509#103—794no—
510#103—794no—
511#103—794no—
512#103—794no—
513#103C22×D7914yes—
514#103C22×D7914yes—
515C22⋊C8—794no—
516C22⋊C8C22×D7914yes—
517C4×C8—794no—
518C4×C8—794no—
519C24D4×D7911yescharacteristic
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—22no—
523C2×Q8—3164no—
524C2×Q8—3164no—
525C2×Q8—3164no—
526C2×Q8—792no—
527C2×Q8—1584no—
528C2×Q8—1584no—
529C2×Q8—1584no—
530C2×Q8—1582no—
531C2×Q8—1582no—
532C2×Q8—1581no—
533C2×Q8C23×D7912yes—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—791no—
541C22×C4—791no—
542C22×C4—794no—
543C22×C4—794no—
544C22×C4—791no—
545C22×C4—791no—
546C22×C4—1581no—
547C22×C4—1581no—
548C22×C4—1581no—
549C22×C4—1581no—
550C22×C4—1584no—
551C22×C4—1584no—
552C22×C4D4×D7912yes—
553C22×C4D4×D7911yescharacteristic
554C22×C4C23×D7912yes—
555C22×C4C23×D7911yescharacteristic
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—792no—
559C2×C8—792no—
560C2×C8—1582no—
561C2×C8—1582no—
562C2×C8C23×D7912yes—
563C2×C8C23×D7912yes—
564C4⋊C4—24no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—792no—
569C4⋊C4—792no—
570C4⋊C4—792no—
571C4⋊C4—1584no—
572C4⋊C4—1584no—
573C4⋊C4—1584no—
574C4⋊C4—1584no—
575C4⋊C4—1584no—
576C4⋊C4—1584no—
577C4⋊C4—1584no—
578C4⋊C4—1584no—
579C4⋊C4—1584no—
580C4⋊C4—1584no—
581C4⋊C4—1584no—
582C4⋊C4—1584no—
583C4⋊C4—1581no—
584C4⋊C4—1581no—
585C4⋊C4—1581no—
586C4⋊C4C23×D7912yes—
587C4⋊C4C23×D7912yes—
588C4⋊C4C23×D7912yes—
589C22⋊C4—24no—
590C22⋊C4—24no—
591C22⋊C4—1584no—
592C22⋊C4—1584no—
593C42—24no—
594C42—792no—
595C42—792no—
596C42—794no—
597C42—794no—
598C42—792no—
599C42—792no—
600C42—1584no—
601C42—1584no—
602C42—1584no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23C2×D4×D7912yes—
607C23C2×D4×D7911yescharacteristic
608Q8—22no—
609Q8—22no—
610Q8—42no—
611Q8—3168no—
612Q8—3168no—
613Q8—3168no—
614Q8—3162no—
615Q8—1582no—
616Q8—1582no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—24no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—3162no—
630C2×C4—3162no—
631C2×C4—3162no—
632C2×C4—3162no—
633C2×C4—794no—
634C2×C4—794no—
635C2×C4—792no—
636C2×C4—792no—
637C2×C4—792no—
638C2×C4—792no—
639C2×C4—1582no—
640C2×C4—1582no—
641C2×C4—1582no—
642C2×C4—1582no—
643C2×C4—1588no—
644C2×C4—1588no—
645C2×C4—1582no—
646C2×C4—1582no—
647C2×C4C2×D4×D7912yes—
648C2×C4C2×D4×D7911yescharacteristic
649C2×C4#1457920812yes—
650C2×C4#1457920812yes—
651C2×C4C24×D7911yescharacteristic
652C8—22no—
653C8—22no—
654C8—1582no—
655C8—1582no—
656C22—22no—
657C22—22no—
658C22—22no—
659C22—44no—
660C22#1909913512yes—
661C22#135×D7912yes—
662C22#137×D7912yes—
663C22C22×D4×D7911yescharacteristic
664C4—22no—
665C4—42no—
666C4—42no—
667C4—42no—
668C4—42no—
669C4—3162no—
670C4—3162no—
671C4—3162no—
672C4—3162no—
673C4—794no—
674C4—794no—
675C4—1582no—
676C4—1582no—
677C4#1909913512yes—
678C4C2×#1457920811yescharacteristic
679C4C2×#1457920811yescharacteristic
680C2—42no—
681C2#2377455714yesdirect product factor
682C2C2×#1909913511yescharacteristic
683C2C2×#135×D7911yescharacteristic
684C2C2×#137×D7911yescharacteristic
subgroupG/H
centerC23C2×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC2×#485×C79C2
socleC23×C79C22×D4
prime radicalC24×C79C2×D4
hypercenterC2×#485D79
hypocenterC79C2×#3231
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#485

Complements

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

NH ≅ G/Ntype
3. #23774557C2direct (N × H)
4. C2×#19098967C2semidirect
5. C2×#19098960C2semidirect
6. C2×#19098912C2semidirect
7. C2×#19098912C2semidirect
11. C2×#19098873C2semidirect
12. C2×#19098872C2semidirect
13. C2×#19098869C2semidirect
14. C2×#19098868C2semidirect
40. #19098967C22semidirect
41. #19098960C22semidirect
42. #19098912C22semidirect
43. #19098912C22semidirect
47. #19098873C22semidirect
48. #19098872C22semidirect
49. #19098869C22semidirect
50. #19098868C22semidirect
339. C2×C79#3231semidirect
359. C79C2×#3231semidirect
681. C2#23774557direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#190991162
C2×#190991152
#237745572
C2×#190989672
C2×#190989602
C2×#190989122
C2×#190989052
C2×#190989042
C2×#190989012
C2×#190988732
C2×#190988722
C2×#190988692
C2×#190988682
C2×#190986132
C2×#485×C792
C2×#323179