Finite Group Databasebeta

← C2×#23774675 #35160481

Subgroups — C2×#23774675 #35160481

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×#19099190C211yesmaximal, characteristic
2C2×#19099171C211yesmaximal, characteristic
3#23774675C2116yesmaximal, direct product factor
4C2×#19098970C211yesmaximal, characteristic, complemented
5C2×#19098963C211yesmaximal, characteristic, complemented
6C2×#19098930C211yesmaximal, characteristic, complemented
7C2×#19098912C211yesmaximal, characteristic, complemented
8C2×#19098897C211yesmaximal, characteristic
9C2×#19098907C211yesmaximal, characteristic
10C2×#19098902C211yesmaximal, characteristic
11C2×#19098895C211yesmaximal, characteristic
12C2×#19098871C211yesmaximal, characteristic, complemented
13C2×#19098870C211yesmaximal, characteristic, complemented
14C2×#19098855C211yesmaximal, characteristic, complemented
15C2×#19098623C211yesmaximal, characteristic
16C2×#475×C79C211yesmaximal, characteristic, complemented
17#19099190—24no—
18#19099190C2218yes—
19#19099171—24no—
20#19099171C2218yes—
21C2×#14579160C2211yescharacteristic
22C2×#14579159—21no—
23C2×#14579159C2211yescharacteristic
24C2×#14579156—21no—
25C2×#14579155—21no—
26C2×#14579153—21no—
27C2×#14579153C2211yescharacteristic
28C2×#14579152C2211yescharacteristic
29C2×#14579152C2211yescharacteristic
30C2×#14579151—21no—
31C2×#14579151—21no—
32C2×#14579141C2211yescharacteristic
33C2×#14579139—21no—
34C2×#14579137—21no—
35C2×#14579137C2211yescharacteristic
36C2×C4×Dic158C2211yescharacteristic
37C2×#14579119C2211yescharacteristic
38C2×#14579118C2211yescharacteristic
39C2×C4⋊C4×D79C2211yescharacteristic
40#19098970C2218yescomplemented
41#19098963C2218yescomplemented
42#19098930C2218yescomplemented
43#19098912C2218yescomplemented
44#19098907C2218yes—
45#19098902C2218yes—
46#19098897C2218yes—
47#19098895C2218yes—
48#19098871C2218yescomplemented
49#19098870C2218yescomplemented
50#19098855C2218yescomplemented
51#19098623C2218yes—
52C2×#14579095C2211yescharacteristic
53C2×#14579094C2211yescharacteristic
54C2×#14579094C2211yescharacteristic
55C2×#14579094C2211yescharacteristic
56C2×#14579093C2211yescharacteristic
57C2×#14579092C2211yescharacteristic
58C2×C4⋊(C79⋊C8)C2211yescharacteristic
59C2×#14579086C2211yescharacteristic
60C2×#14579086C2211yescharacteristic
61C2×#14579085C2211yescharacteristic
62C2×#14579085C2211yescharacteristic
63C2×#14579084C2211yescharacteristic
64C2×#14579084C2211yescharacteristic
65C2×(C2×D79)⋊C8C2211yescharacteristic
66C2×(C2×D79)⋊C8C2211yescharacteristic
67C2×#14579071C2211yescharacteristic
68C2×C8×Dic79C2211yescharacteristic
69C2×C4⋊Q8×C79C2211yescharacteristic
70C2×C4×Q8×C79C2211yescharacteristic
71#475×C79C2218yescomplemented
72C2×#106×C79C2211yescharacteristic
73C2×#106×C79C2211yescharacteristic
74C2×C4⋊C8×C79C2211yescharacteristic
75C2×#103×C79C2211yescharacteristic
76C2×#103×C79C2211yescharacteristic
77C22×Dic158—21no—
78C22×Dic158C2311yescharacteristic
79C22×C4×D79—21no—
80C22×C4×D79C2311yescharacteristic
81C22×C79⋊C8C2311yescharacteristic
82C22×C79⋊C8C2311yescharacteristic
83#14579160—22no—
84#14579160C2314yes—
85#14579159—28no—
86#14579159—22no—
87#14579159C2314yes—
88#14579156—28no—
89#14579155—28no—
90#14579153—22no—
91#14579153—28no—
92#14579153C2314yes—
93#14579152—22no—
94#14579152—22no—
95#14579152C2314yes—
96#14579152C2314yes—
97#14579151—28no—
98#14579151—28no—
99#14579141—22no—
100#14579141C2314yes—
101#14579139—28no—
102#14579137—22no—
103#14579137—28no—
104#14579137C2314yes—
105C4×Dic158—22no—
106C4×Dic158C2314yes—
107#14579119—22no—
108#14579119C2314yes—
109#14579118D414yes—
110#14579118C2314yes—
111C2×C4⋊Dic79—21no—
112C2×C4⋊Dic79—21no—
113C2×C4⋊Dic79—21no—
114C2×C4⋊Dic79C2311yescharacteristic
115C2×C4⋊Dic79C2311yescharacteristic
116C2×C4⋊Dic79C2311yescharacteristic
117C2×Dic79⋊C4—21no—
118C2×Dic79⋊C4—21no—
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⋊C4D411yescharacteristic
128C2×Dic79⋊C4D411yescharacteristic
129C4⋊C4×D79—22no—
130C4⋊C4×D79C2314yes—
131C2×(C2×D79)⋊C4—21no—
132C2×(C2×D79)⋊C4—21no—
133C2×(C2×D79)⋊C4—21no—
134C2×(C2×D79)⋊C4D411yescharacteristic
135C2×(C2×D79)⋊C4D411yescharacteristic
136C2×C4×Dic79—21no—
137C2×C4×Dic79—21no—
138C2×C4×Dic79C2311yescharacteristic
139#14579095C2314yes—
140#14579094C2314yes—
141#14579094C2314yes—
142#14579094C2314yes—
143#14579093C2314yes—
144#14579092C2314yes—
145C4⋊(C79⋊C8)C2314yes—
146#14579086C2314yes—
147#14579086C2314yes—
148#14579085C2314yes—
149#14579085C2314yes—
150#14579084C2314yes—
151#14579084C2314yes—
152(C2×D79)⋊C8C2314yes—
153(C2×D79)⋊C8C2314yes—
154#14579071C2314yes—
155C8×Dic79C2314yes—
156C22×Q8×C79—21no—
157C22×Q8×C79C2311yescharacteristic
158C22×C8×C79C2311yescharacteristic
159C22×C8×C79C2311yescharacteristic
160C4⋊Q8×C79—22no—
161C4⋊Q8×C79C2314yes—
162C4×Q8×C79—22no—
163C4×Q8×C79C2314yes—
164C2×C4⋊C4×C79—21no—
165C2×C4⋊C4×C79—21no—
166C2×C4⋊C4×C79C2311yescharacteristic
167C2×C4⋊C4×C79C2311yescharacteristic
168C2×C4⋊C4×C79C2311yescharacteristic
169C2×C42×C79—21no—
170C2×C42×C79C2311yescharacteristic
171#106×C79C2314yes—
172#106×C79C2314yes—
173C4⋊C8×C79C2314yes—
174#103×C79C2314yes—
175#103×C79C2314yes—
176C23×D79C2×D411yescharacteristic
177C2×Dic158—24no—
178C2×Dic158—21no—
179C2×Dic158—22no—
180C2×Dic158—22no—
181C2×Dic158—82no—
182C2×Dic158C2412yes—
183C22×Dic79—21no—
184C22×Dic79—21no—
185C22×Dic79—21no—
186C22×Dic79—21no—
187C22×Dic79C2×D411yescharacteristic
188C22×Dic79C2×D411yescharacteristic
189C22×Dic79C2×D411yescharacteristic
190C2×C4×D79—24no—
191C2×C4×D79—22no—
192C2×C4×D79—22no—
193C2×C4×D79—82no—
194C2×C4×D79C2×D412yes—
195C2×C4×D79C2412yes—
196C2×C79⋊C8—22no—
197C2×C79⋊C8—22no—
198C2×C79⋊C8C2412yes—
199C2×C79⋊C8C2412yes—
200C4⋊Dic79—24no—
201C4⋊Dic79—24no—
202C4⋊Dic79—24no—
203C4⋊Dic79—21no—
204C4⋊Dic79—21no—
205C4⋊Dic79—21no—
206C4⋊Dic79C2412yes—
207C4⋊Dic79C2412yes—
208C4⋊Dic79C2412yes—
209Dic79⋊C4—24no—
210Dic79⋊C4—24no—
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⋊C4C2×D414yes—
220Dic79⋊C4C2×D414yes—
221(C2×D79)⋊C4—24no—
222(C2×D79)⋊C4—24no—
223(C2×D79)⋊C4—24no—
224(C2×D79)⋊C4C2×D414yes—
225(C2×D79)⋊C4C2×D414yes—
226C4×Dic79—24no—
227C4×Dic79—24no—
228C4×Dic79C2×D412yes—
229C4×Dic79C2412yes—
230C2×Q8×C79—21no—
231C2×Q8×C79—24no—
232C2×Q8×C79—22no—
233C2×Q8×C79—22no—
234C2×Q8×C79—82no—
235C2×Q8×C79C2412yes—
236C22×C4×C79—21no—
237C22×C4×C79—21no—
238C22×C4×C79—21no—
239C22×C4×C79—21no—
240C22×C4×C79C2×D411yescharacteristic
241C22×C4×C79C2×D411yescharacteristic
242C22×C4×C79C2411yescharacteristic
243C2×C8×C79—22no—
244C2×C8×C79—22no—
245C2×C8×C79C2412yes—
246C2×C8×C79C2412yes—
247C4⋊C4×C79—24no—
248C4⋊C4×C79—24no—
249C4⋊C4×C79—21no—
250C4⋊C4×C79—21no—
251C4⋊C4×C79—21no—
252C4⋊C4×C79C2412yes—
253C4⋊C4×C79C2412yes—
254C4⋊C4×C79C2412yes—
255C42×C79—24no—
256C42×C79C2×D412yes—
257C42×C79C2412yes—
258C23×C79C22×D411yescharacteristic
259C22×D79—22no—
260C22×D79—22no—
261C22×D79—22no—
262C22×D79C22×D412yes—
263Q8×C79—22no—
264Q8×C79—22no—
265Q8×C79—42no—
266Q8×C79—84no—
267C2×C4×C79—22no—
268C2×C4×C79—22no—
269C2×C4×C79—22no—
270C2×C4×C79—22no—
271C2×C4×C79—22no—
272C2×C4×C79—22no—
273C2×C4×C79—42no—
274C2×C4×C79—42no—
275C2×C4×C79—42no—
276C2×C4×C79—42no—
277C2×C4×C79C22×D412yes—
278C2×C4×C79C22×D412yes—
279C2×C4×C79C22×D411yescharacteristic
280C2×C4×C792−1+412yes—
281C2×C4×C792−1+412yes—
282C2×C4×C79C2511yescharacteristic
283C2×Dic79—22no—
284C2×Dic79—22no—
285C2×Dic79—22no—
286C2×Dic79—22no—
287C2×Dic79—22no—
288C2×Dic79—22no—
289C2×Dic79—22no—
290C2×Dic79—42no—
291C2×Dic79—42no—
292C2×Dic79—42no—
293C2×Dic79—42no—
294C2×Dic79C22×D412yes—
295C2×Dic79C22×D412yes—
296C2×Dic79C22×D412yes—
297C4×D79—24no—
298C4×D79—22no—
299C4×D79—22no—
300C4×D79—84no—
301Dic158—22no—
302Dic158—22no—
303Dic158—42no—
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×#499—791no—
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×#475D7911yescharacteristic, complemented
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—1581no—
363C2×C4⋊Q8C2×D7911yescharacteristic
364C2×#126—1581no—
365C2×#126—1581no—
366C2×#125—791no—
367C2×#125—791no—
368C2×#125—791no—
369C2×#125—1581no—
370C2×#125—1581no—
371C2×#125—1581no—
372C2×C22⋊Q8—791no—
373C2×C22⋊Q8—791no—
374C2×C22⋊Q8—1581no—
375C2×C22⋊Q8—1581no—
376C2×C4×Q8—791no—
377C2×C4×Q8C2×D7911yescharacteristic
378C2×#117—791no—
379C2×#117—791no—
380C22×C4⋊C4—791no—
381#501—798no—
382#499—798no—
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#475C2×D7918yescomplemented
393#433—798no—
394C2×#107—791no—
395C2×#107—791no—
396C2×#107—791no—
397C2×#107—791no—
398C2×#106—791no—
399C2×#106—791no—
400C2×#106C2×D7911yescharacteristic
401C2×#106C2×D7911yescharacteristic
402C2×C4⋊C8—791no—
403C2×C4⋊C8C2×D7911yescharacteristic
404C2×#103—791no—
405C2×#103—791no—
406C2×#103—791no—
407C2×#103—791no—
408C2×#103—791no—
409C2×#103—791no—
410C2×#103C2×D7911yescharacteristic
411C2×#103C2×D7911yescharacteristic
412C2×C22⋊C8—791no—
413C2×C22⋊C8—791no—
414C2×#97—791no—
415C2×C4×C8—791no—
416C22×Q8—21no—
417C22×Q8—791no—
418C22×Q8—1581no—
419C22×Q8C22×D7911yescharacteristic
420C23×C4—791no—
421C23×C4—1581no—
422C22×C8—791no—
423C22×C8—791no—
424C22×C8C22×D7911yescharacteristic
425C22×C8C22×D7911yescharacteristic
426C4⋊Q8—22no—
427C4⋊Q8—794no—
428C4⋊Q8—794no—
429C4⋊Q8—1582no—
430C4⋊Q8—1582no—
431C4⋊Q8—1588no—
432C4⋊Q8C22×D7914yes—
433#126—1588no—
434#126—1588no—
435#125—794no—
436#125—794no—
437#125—794no—
438#125—1588no—
439#125—1582no—
440#125—1582no—
441#125—1588no—
442#125—1588no—
443#125—1582no—
444C22⋊Q8—794no—
445C22⋊Q8—794no—
446C22⋊Q8—1588no—
447C22⋊Q8—1588no—
448C22⋊Q8—1582no—
449C22⋊Q8—1582no—
450C4×Q8—22no—
451C4×Q8—794no—
452C4×Q8—1582no—
453C4×Q8C22×D7914yes—
454#117—794no—
455#117—794no—
456#117—794no—
457#117—1582no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—791no—
461C2×C4⋊C4—791no—
462C2×C4⋊C4—791no—
463C2×C4⋊C4—791no—
464C2×C4⋊C4—791no—
465C2×C4⋊C4—794no—
466C2×C4⋊C4—1582no—
467C2×C4⋊C4—1581no—
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—791no—
484C2×C22⋊C4—791no—
485C2×C22⋊C4—1581no—
486C2×C22⋊C4—1581no—
487C2×C22⋊C4—1581no—
488C2×C42—21no—
489C2×C42—791no—
490C2×C42—1581no—
491C2×C42—1581no—
492C2×C42C22×D7911yescharacteristic
493#107—794no—
494#107—794no—
495#107—794no—
496#107—794no—
497#106—794no—
498#106—794no—
499#106C22×D7914yes—
500#106C22×D7914yes—
501C4⋊C8—794no—
502C4⋊C8C22×D7914yes—
503#103—794no—
504#103—794no—
505#103—794no—
506#103—794no—
507#103—794no—
508#103—794no—
509#103C22×D7914yes—
510#103C22×D7914yes—
511C22⋊C8—794no—
512C22⋊C8—794no—
513#97—794no—
514C4×C8—794no—
515C24—791no—
516C2×Q8—21no—
517C2×Q8—24no—
518C2×Q8—22no—
519C2×Q8—22no—
520C2×Q8—82no—
521C2×Q8—792no—
522C2×Q8—6322no—
523C2×Q8—1584no—
524C2×Q8—1582no—
525C2×Q8—1582no—
526C2×Q8—1581no—
527C2×Q8C23×D7912yes—
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—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—794no—
562C4⋊C4—794no—
563C4⋊C4—792no—
564C4⋊C4—792no—
565C4⋊C4—792no—
566C4⋊C4—1584no—
567C4⋊C4—1584no—
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—1584no—
577C4⋊C4—1584no—
578C4⋊C4—1584no—
579C4⋊C4—1581no—
580C4⋊C4—1581no—
581C4⋊C4—1581no—
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—24no—
591C42—792no—
592C42—792no—
593C42—1584no—
594C42—1584no—
595C42D4×D7912yes—
596C42C23×D7912yes—
597C23—792no—
598C23—1582no—
599C23—1582no—
600C23—1582no—
601C23C2×D4×D7911yescharacteristic
602Q8—22no—
603Q8—22no—
604Q8—42no—
605Q8—84no—
606Q8—3162no—
607Q8—6324no—
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#1457920812yes—
642C2×C4#1457920912yes—
643C2×C4C24×D7911yescharacteristic
644C8—22no—
645C8—22no—
646C8—1582no—
647C8—1582no—
648C22—3164no—
649C22—1582no—
650C22—1582no—
651C22—1582no—
652C22#1909913612yes—
653C22#1909936912yes—
654C22#1909937912yes—
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#1909913612yes—
670C4C2×#1457920811yescharacteristic
671C4C2×#1457920911yescharacteristic
672C2—3162no—
673C2#2377467514yesdirect product factor
674C2C2×#1909913611yescharacteristic
675C2C2×#1909936911yescharacteristic
676C2C2×#1909937911yescharacteristic
subgroupG/H
centerC23C2×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC2×#475×C79C2
socleC23×C79C22×D4
prime radicalC23×D79C2×D4
hypercenterC2×#475D79
hypocenterC79C2×#3242
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#475

Complements

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

NH ≅ G/Ntype
3. #23774675C2direct (N × H)
4. C2×#19098970C2semidirect
5. C2×#19098963C2semidirect
6. C2×#19098930C2semidirect
7. C2×#19098912C2semidirect
12. C2×#19098871C2semidirect
13. C2×#19098870C2semidirect
14. C2×#19098855C2semidirect
16. C2×#475×C79C2semidirect
40. #19098970C22semidirect
41. #19098963C22semidirect
42. #19098930C22semidirect
43. #19098912C22semidirect
48. #19098871C22semidirect
49. #19098870C22semidirect
50. #19098855C22semidirect
71. #475×C79C22semidirect
334. C2×C79#3242semidirect
353. C2×#475D79semidirect
355. C79C2×#3242semidirect
392. #475C2×D79semidirect
673. C2#23774675direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#190991902
C2×#190991712
#237746752
C2×#190989702
C2×#190989632
C2×#190989302
C2×#190989122
C2×#190988972
C2×#190989072
C2×#190989022
C2×#190988952
C2×#190988712
C2×#190988702
C2×#190988552
C2×#190986232
C2×#475×C792
C2×#324279