Finite Group Databasebeta

← C2×#23774576 #35160344

Subgroups — C2×#23774576 #35160344

Order 20224.

1810 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099116C211yesmaximal, characteristic, complemented
2C2×#19099094C211yesmaximal, characteristic
3#23774576C2116yesmaximal, direct product factor
4C2×#19098964C211yesmaximal, characteristic, complemented
5C2×#19098963C211yesmaximal, characteristic, complemented
6C2×#19098916C211yesmaximal, characteristic, complemented
7C2×#19098916C211yesmaximal, characteristic, complemented
8C2×#19098905C211yesmaximal, characteristic, complemented
9C2×#19098904C211yesmaximal, characteristic, complemented
10C2×#19098884C211yesmaximal, characteristic
11C2×#19098857C211yesmaximal, characteristic, complemented
12C2×#19098847C211yesmaximal, characteristic, complemented
13C2×#19098851C211yesmaximal, characteristic, complemented
14C2×#19098841C211yesmaximal, characteristic, complemented
15C2×#19098613C211yesmaximal, characteristic, complemented
16C2×#482×C79C211yesmaximal, characteristic
17#19099116—24no—
18#19099116C2218yescomplemented
19C2×#14579160C2211yescharacteristic
20C2×#14579160C2211yescharacteristic
21#19099094—24no—
22#19099094C2218yes—
23C2×#14579154—21no—
24C2×#14579152C2211yescharacteristic
25C2×#14579152C2211yescharacteristic
26C2×#14579152C2211yescharacteristic
27C2×#14579148C2211yescharacteristic
28C2×#14579142—21no—
29C2×#14579140C2211yescharacteristic
30C2×#14579138—21no—
31C2×#14579138—21no—
32C2×C4×Dic158—21no—
33C2×C4×Dic158—21no—
34C2×#14579126C2211yescharacteristic
35C2×D4×Dic79—21no—
36C2×D4×Dic79C2211yescharacteristic
37C2×#14579120C2211yescharacteristic
38C2×#14579117—21no—
39C22×C4×Dic79C2211yescharacteristic
40#19098964C2218yescomplemented
41#19098963C2218yescomplemented
42#19098916C2218yescomplemented
43#19098916C2218yescomplemented
44#19098905C2218yescomplemented
45#19098904C2218yescomplemented
46#19098884C2218yes—
47#19098857C2218yescomplemented
48#19098851C2218yescomplemented
49#19098847C2218yescomplemented
50#19098841C2218yescomplemented
51#19098613C2218yescomplemented
52C2×#14579095C2211yescharacteristic
53C2×#14579094C2211yescharacteristic
54C2×#14579094C2211yescharacteristic
55C2×#14579093C2211yescharacteristic
56C2×#14579092C2211yescharacteristic
57C2×#14579092C2211yescharacteristic
58C2×Dic79⋊C8C2211yescharacteristic
59C2×Dic79⋊C8C2211yescharacteristic
60C2×#14579086C2211yescharacteristic
61C2×#14579086C2211yescharacteristic
62C2×#14579084C2211yescharacteristic
63C2×#14579084C2211yescharacteristic
64C2×#14579082C2211yescharacteristic
65C2×#14579082C2211yescharacteristic
66C2×C22⋊(C79⋊C8)C2211yescharacteristic
67C2×C8×Dic79C2211yescharacteristic
68C2×C8×Dic79C2211yescharacteristic
69C2×#121×C79C2211yescharacteristic
70C2×#117×C79C2211yescharacteristic
71#482×C79C2218yes—
72C2×#107×C79C2211yescharacteristic
73C2×#106×C79C2211yescharacteristic
74C2×#102×C79C2211yescharacteristic
75C2×#102×C79C2211yescharacteristic
76C2×C22⋊C8×C79C2211yescharacteristic
77C22×Dic158—21no—
78C22×Dic158—21no—
79C22×Dic158C2311yescharacteristic
80C23×Dic79—21no—
81C23×Dic79D411yescharacteristic
82C23×Dic79D411yescharacteristic
83C22×C79⋊C8C2311yescharacteristic
84C22×C79⋊C8C2311yescharacteristic
85#14579160—22no—
86#14579160—22no—
87#14579160C2314yes—
88#14579160C2314yes—
89#14579154—28no—
90#14579152—22no—
91#14579152—22no—
92#14579152—22no—
93#14579152C2314yes—
94#14579152C2314yes—
95#14579152C2314yes—
96#14579148—22no—
97#14579148C2314yes—
98#14579142—28no—
99#14579140—22no—
100#14579140C2314yes—
101#14579138—28no—
102#14579138—28no—
103C4×Dic158—28no—
104C4×Dic158—28no—
105#14579126—22no—
106#14579126C2314yes—
107D4×Dic79—28no—
108D4×Dic79—22no—
109D4×Dic79C2314yes—
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×C22⋊Dic79—21no—
127C2×C22⋊Dic79—21no—
128C2×C22⋊Dic79—21no—
129C2×C22⋊Dic79—21no—
130C2×C22⋊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#14579084C2314yes—
150#14579084C2314yes—
151#14579082C2314yes—
152#14579082C2314yes—
153C22⋊(C79⋊C8)C2314yes—
154C8×Dic79C2314yes—
155C8×Dic79C2314yes—
156C22×D4×C79—21no—
157C22×D4×C79C2311yescharacteristic
158C23×C4×C79C2311yescharacteristic
159C22×C8×C79C2311yescharacteristic
160C22×C8×C79C2311yescharacteristic
161#121×C79—22no—
162#121×C79C2314yes—
163#117×C79—22no—
164#117×C79C2314yes—
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#102×C79C2314yes—
174#102×C79C2314yes—
175C22⋊C8×C79C2314yes—
176C2×Dic158—24no—
177C2×Dic158—24no—
178C2×Dic158—21no—
179C2×Dic158—22no—
180C2×Dic158—22no—
181C2×Dic158—44no—
182C2×Dic158—44no—
183C2×Dic158C2412yes—
184C22×Dic79—24no—
185C22×Dic79—24no—
186C22×Dic79—21no—
187C22×Dic79—21no—
188C22×Dic79—21no—
189C22×Dic79—21no—
190C22×Dic79—42no—
191C22×Dic79—44no—
192C22×Dic79C2×D411yescharacteristic
193C22×Dic79C2×D411yescharacteristic
194C22×Dic79C2×D411yescharacteristic
195C22×Dic79C2×D414yes—
196C22×Dic79C2×D414yes—
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—
218C22⋊Dic79—24no—
219C22⋊Dic79—24no—
220C22⋊Dic79—24no—
221C22⋊Dic79—24no—
222C22⋊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×C79—21no—
232C24×C79C2×D411yescharacteristic
233C2×D4×C79—24no—
234C2×D4×C79—21no—
235C2×D4×C79—22no—
236C2×D4×C79—22no—
237C2×D4×C79—44no—
238C2×D4×C79C2412yes—
239C22×C4×C79—22no—
240C22×C4×C79—22no—
241C22×C4×C79—21no—
242C22×C4×C79—21no—
243C22×C4×C79—21no—
244C22×C4×C79C2×D411yescharacteristic
245C22×C4×C79C2×D412yes—
246C22×C4×C79C2412yes—
247C22×C4×C79C2411yescharacteristic
248C2×C8×C79—22no—
249C2×C8×C79—22no—
250C2×C8×C79C2412yes—
251C2×C8×C79C2412yes—
252C4⋊C4×C79—21no—
253C4⋊C4×C79—21no—
254C4⋊C4×C79—21no—
255C4⋊C4×C79C2412yes—
256C4⋊C4×C79C2412yes—
257C4⋊C4×C79C2412yes—
258C22⋊C4×C79—24no—
259C22⋊C4×C79—24no—
260C42×C79—24no—
261C23×C79—22no—
262C23×C79—22no—
263C23×C79—22no—
264C23×C79—22no—
265C23×C79—42no—
266C23×C79—42no—
267C23×C79—42no—
268C23×C79C22×D412yes—
269C23×C79C22×D411yescharacteristic
270D4×C79—22no—
271D4×C79—22no—
272D4×C79—48no—
273D4×C79—42no—
274C2×C4×C79—22no—
275C2×C4×C79—24no—
276C2×C4×C79—22no—
277C2×C4×C79—22no—
278C2×C4×C79—22no—
279C2×C4×C79—22no—
280C2×C4×C79—22no—
281C2×C4×C79—42no—
282C2×C4×C79—42no—
283C2×C4×C79—42no—
284C2×C4×C79C22×D412yes—
285C2×C4×C79C22×D411yescharacteristic
286C2×C4×C792−1+412yes—
287C2×C4×C792−1+412yes—
288C2×C4×C79C2511yescharacteristic
289C2×Dic79—22no—
290C2×Dic79—22no—
291C2×Dic79—22no—
292C2×Dic79—28no—
293C2×Dic79—22no—
294C2×Dic79—22no—
295C2×Dic79—22no—
296C2×Dic79—22no—
297C2×Dic79—44no—
298C2×Dic79—42no—
299C2×Dic79—42no—
300C2×Dic79—42no—
301C2×Dic79—42no—
302C2×Dic79—48no—
303C2×Dic79#13514yes—
304C2×Dic79C22×D412yes—
305C2×Dic79C22×D412yes—
306C2×Dic79C22×D412yes—
307C2×Dic79C22×D412yes—
308Dic158—22no—
309Dic158—22no—
310Dic158—48no—
311Dic158—42no—
312Dic158—48no—
313C8×C79—22no—
314C8×C79—22no—
315C79⋊C8—22no—
316C79⋊C8—22no—
317C22×C79—22no—
318C22×C79—22no—
319C22×C79—22no—
320C22×C79—44no—
321C22×C79—42no—
322C22×C79—42no—
323C22×C79—42no—
324C22×C79—84no—
325C22×C79#53612yes—
326C22×C79C2×#13512yes—
327C22×C79#57512yes—
328C22×C79C23×D411yescharacteristic
329C4×C79—22no—
330C4×C79—42no—
331C4×C79—42no—
332C4×C79—42no—
333C4×C79#53612yes—
334C4×C79C2×2−1+411yescharacteristic
335C4×C79C2×2−1+411yescharacteristic
336Dic79—22no—
337Dic79—22no—
338Dic79—22no—
339Dic79—42no—
340Dic79—42no—
341Dic79—42no—
342Dic79—42no—
343Dic79C2×#13514yes—
344C2×#3233—791nomaximal, Sylow
345C2×C79—42no—
346C2×C79—82no—
347C2×C79#323314yescomplemented
348C2×C79C2×#53611yescharacteristic
349C2×C79C22×#13511yescharacteristic
350C2×C79C2×#57511yescharacteristic
351C2×#533—791no—
352C2×#529—791no—
353#3233—7916no—
354C2×#499—791no—
355C2×#499—791no—
356C2×#488—791no—
357C2×#488—791no—
358C2×#485—791no—
359C2×#485—791no—
360C2×#482—791no—
361C2×#482D7911yescharacteristic
362C2×#477—791no—
363C2×#475—791no—
364C2×#476—791no—
365C2×#474—791no—
366C2×#431—791no—
367C79C2×#323311yescharacteristic, complemented, Sylow
368#533—798no—
369#533—1584no—
370C2×C4⋊Q8—791no—
371C2×C4⋊Q8—791no—
372#529—798no—
373#529—1584no—
374C2×#126—1581no—
375C2×#125—791no—
376C2×#125—791no—
377C2×#125—791no—
378C2×#124—791no—
379C2×#123—1581no—
380C2×C22⋊Q8—791no—
381C2×C22⋊Q8—1581no—
382C2×C22⋊Q8—1581no—
383C2×#121C2×D7911yescharacteristic
384C2×C4×Q8—791no—
385C2×C4×Q8—1581no—
386C2×C4×Q8—1581no—
387C2×C4×D4—791no—
388C2×C4×D4—1581no—
389C2×#117—791no—
390C2×#117—1581no—
391C2×#117C2×D7911yescharacteristic
392C22×C42—791no—
393#499—798no—
394#499—798no—
395#488—798no—
396#488—798no—
397#485—798no—
398#485—798no—
399#482—798no—
400#482C2×D7918yes—
401#477—798no—
402#476—798no—
403#475—798no—
404#474—798no—
405#431—798no—
406C2×#107—791no—
407C2×#107—791no—
408C2×#107—791no—
409C2×#107C2×D7911yescharacteristic
410C2×#106—791no—
411C2×#106—791no—
412C2×#106—791no—
413C2×#106C2×D7911yescharacteristic
414C2×C4⋊C8—791no—
415C2×C4⋊C8—791no—
416C2×#103—791no—
417C2×#103—791no—
418C2×#103—791no—
419C2×#103—791no—
420C2×#102—791no—
421C2×#102—791no—
422C2×#102C2×D7911yescharacteristic
423C2×#102C2×D7911yescharacteristic
424C2×C22⋊C8—791no—
425C2×C22⋊C8C2×D7911yescharacteristic
426C2×C4×C8—791no—
427C2×C4×C8—791no—
428C22×Q8—791no—
429C22×Q8—1581no—
430C22×Q8—1581no—
431C22×D4—21no—
432C22×D4C22×D7911yescharacteristic
433C23×C4—791no—
434C23×C4—791no—
435C23×C4—1581no—
436C23×C4C22×D7911yescharacteristic
437C22×C8—791no—
438C22×C8—791no—
439C22×C8C22×D7911yescharacteristic
440C22×C8C22×D7911yescharacteristic
441C4⋊Q8—794no—
442C4⋊Q8—794no—
443C4⋊Q8—1582no—
444C4⋊Q8—1582no—
445#126—1588no—
446#125—794no—
447#125—794no—
448#125—794no—
449#125—1582no—
450#125—1582no—
451#125—1582no—
452#124—794no—
453#124—1582no—
454#123—1588no—
455C22⋊Q8—794no—
456C22⋊Q8—1588no—
457C22⋊Q8—1588no—
458C22⋊Q8—1582no—
459#121—22no—
460#121C22×D7914yes—
461C4×Q8—794no—
462C4×Q8—1588no—
463C4×Q8—1588no—
464C4×Q8—1582no—
465C4×D4—794no—
466C4×D4—1582no—
467C4×D4—1588no—
468#117—22no—
469#117—794no—
470#117—1588no—
471#117—1582no—
472#117C22×D7914yes—
473C2×C4⋊C4—791no—
474C2×C4⋊C4—791no—
475C2×C4⋊C4—791no—
476C2×C4⋊C4—1581no—
477C2×C4⋊C4—1581no—
478C2×C4⋊C4—1581no—
479C2×C4⋊C4—1581no—
480C2×C4⋊C4—1581no—
481C2×C4⋊C4—1581no—
482C2×C4⋊C4—1581no—
483C2×C4⋊C4—1581no—
484C2×C4⋊C4—1581no—
485C2×C4⋊C4—1581no—
486C2×C4⋊C4C22×D7911yescharacteristic
487C2×C4⋊C4C22×D7911yescharacteristic
488C2×C4⋊C4C22×D7911yescharacteristic
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—1581no—
492C2×C22⋊C4—1581no—
493C2×C22⋊C4—1581no—
494C2×C22⋊C4—1581no—
495C2×C22⋊C4—1581no—
496C2×C42—21no—
497C2×C42—791no—
498C2×C42—791no—
499C2×C42—794no—
500C2×C42—791no—
501C2×C42—791no—
502C2×C42—794no—
503C2×C42—1581no—
504C2×C42—1581no—
505#107—794no—
506#107—794no—
507#107—794no—
508#107C22×D7914yes—
509#106—794no—
510#106—794no—
511#106—794no—
512#106C22×D7914yes—
513C4⋊C8—794no—
514C4⋊C8—794no—
515#103—794no—
516#103—794no—
517#103—794no—
518#103—794no—
519#102—794no—
520#102—794no—
521#102C22×D7914yes—
522#102C22×D7914yes—
523C22⋊C8—794no—
524C22⋊C8C22×D7914yes—
525C4×C8—794no—
526C4×C8—794no—
527C24—21no—
528C24D4×D7911yescharacteristic
529C2×Q8—3164no—
530C2×Q8—3164no—
531C2×Q8—792no—
532C2×Q8—1584no—
533C2×Q8—1584no—
534C2×Q8—1582no—
535C2×Q8—1582no—
536C2×Q8—1581no—
537C2×D4—24no—
538C2×D4—22no—
539C2×D4—22no—
540C2×D4—21no—
541C2×D4—44no—
542C2×D4C23×D7912yes—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—3164no—
549C22×C4—3162no—
550C22×C4—794no—
551C22×C4—791no—
552C22×C4—794no—
553C22×C4—791no—
554C22×C4—791no—
555C22×C4—791no—
556C22×C4—1584no—
557C22×C4—1581no—
558C22×C4—1581no—
559C22×C4—1581no—
560C22×C4—1581no—
561C22×C4—1584no—
562C22×C4D4×D7912yes—
563C22×C4D4×D7911yescharacteristic
564C22×C4C23×D7912yes—
565C22×C4C23×D7911yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—792no—
569C2×C8—792no—
570C2×C8—1582no—
571C2×C8—1582no—
572C2×C8C23×D7912yes—
573C2×C8C23×D7912yes—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—792no—
578C4⋊C4—792no—
579C4⋊C4—792no—
580C4⋊C4—1584no—
581C4⋊C4—1584no—
582C4⋊C4—1584no—
583C4⋊C4—1584no—
584C4⋊C4—1584no—
585C4⋊C4—1584no—
586C4⋊C4—1584no—
587C4⋊C4—1584no—
588C4⋊C4—1584no—
589C4⋊C4—1584no—
590C4⋊C4—1581no—
591C4⋊C4—1581no—
592C4⋊C4—1581no—
593C4⋊C4C23×D7912yes—
594C4⋊C4C23×D7912yes—
595C4⋊C4C23×D7912yes—
596C22⋊C4—24no—
597C22⋊C4—24no—
598C22⋊C4—1584no—
599C22⋊C4—1584no—
600C22⋊C4—1584no—
601C22⋊C4—1584no—
602C22⋊C4—1584no—
603C42—24no—
604C42—792no—
605C42—792no—
606C42—794no—
607C42—792no—
608C42—794no—
609C42—792no—
610C42—1584no—
611C42—1584no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23C2×D4×D7912yes—
620C23C2×D4×D7911yescharacteristic
621Q8—3168no—
622Q8—3168no—
623Q8—3162no—
624Q8—1582no—
625Q8—1582no—
626D4—22no—
627D4—22no—
628D4—48no—
629D4—42no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—24no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—3162no—
641C2×C4—3162no—
642C2×C4—3162no—
643C2×C4—3162no—
644C2×C4—3168no—
645C2×C4—3164no—
646C2×C4—794no—
647C2×C4—792no—
648C2×C4—792no—
649C2×C4—792no—
650C2×C4—792no—
651C2×C4—1582no—
652C2×C4—1582no—
653C2×C4—1582no—
654C2×C4—1582no—
655C2×C4—1588no—
656C2×C4—1582no—
657C2×C4—1582no—
658C2×C4—1582no—
659C2×C4C2×D4×D7912yes—
660C2×C4C2×D4×D7911yescharacteristic
661C2×C4#1457920812yes—
662C2×C4#1457920812yes—
663C2×C4C24×D7911yescharacteristic
664C8—22no—
665C8—22no—
666C8—1582no—
667C8—1582no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—84no—
676C22#1909913512yes—
677C22#135×D7912yes—
678C22#1909935912yes—
679C22C22×D4×D7911yescharacteristic
680C4—22no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—3162no—
685C4—3162no—
686C4—3162no—
687C4—3162no—
688C4—794no—
689C4—1582no—
690C4—1582no—
691C4—1582no—
692C4#1909913512yes—
693C4C2×#1457920811yescharacteristic
694C4C2×#1457920811yescharacteristic
695C2—42no—
696C2—82no—
697C2#2377457614yesdirect product factor
698C2C2×#1909913511yescharacteristic
699C2C2×#135×D7911yescharacteristic
700C2C2×#1909935911yescharacteristic
subgroupG/H
centerC23C2×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC2×#482×C79C2
socleC23×C79C22×D4
prime radicalC2×#121×C79C22
hypercenterC2×#482D79
hypocenterC79C2×#3233
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#482

Complements

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

NH ≅ G/Ntype
1. C2×#19099116C2semidirect
3. #23774576C2direct (N × H)
4. C2×#19098964C2semidirect
5. C2×#19098963C2semidirect
6. C2×#19098916C2semidirect
7. C2×#19098916C2semidirect
8. C2×#19098905C2semidirect
9. C2×#19098904C2semidirect
11. C2×#19098857C2semidirect
12. C2×#19098847C2semidirect
13. C2×#19098851C2semidirect
14. C2×#19098841C2semidirect
15. C2×#19098613C2semidirect
18. #19099116C22semidirect
40. #19098964C22semidirect
41. #19098963C22semidirect
42. #19098916C22semidirect
43. #19098916C22semidirect
44. #19098905C22semidirect
45. #19098904C22semidirect
47. #19098857C22semidirect
48. #19098851C22semidirect
49. #19098847C22semidirect
50. #19098841C22semidirect
51. #19098613C22semidirect
347. C2×C79#3233semidirect
367. C79C2×#3233semidirect
697. C2#23774576direct (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×#190990942
#237745762
C2×#190989642
C2×#190989632
C2×#190989162
C2×#190989052
C2×#190989042
C2×#190988842
C2×#190988572
C2×#190988472
C2×#190988512
C2×#190988412
C2×#190986132
C2×#482×C792
C2×#323379