Finite Group Databasebeta

← C2×#23774670 #35160476

Subgroups — C2×#23774670 #35160476

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×#19099191C211yesmaximal, characteristic
2C2×#19099175C211yesmaximal, characteristic
3#23774670C2116yesmaximal, direct product factor
4C2×#19098972C211yesmaximal, characteristic, complemented
5C2×#19098965C211yesmaximal, characteristic, complemented
6C2×#19098932C211yesmaximal, characteristic, complemented
7C2×#19098914C211yesmaximal, characteristic, complemented
8C2×#19098899C211yesmaximal, characteristic
9C2×#19098905C211yesmaximal, characteristic
10C2×#19098905C211yesmaximal, characteristic
11C2×#19098894C211yesmaximal, characteristic
12C2×#19098871C211yesmaximal, characteristic, complemented
13C2×#19098871C211yesmaximal, characteristic, complemented
14C2×#19098859C211yesmaximal, characteristic, complemented
15C2×#19098849C211yesmaximal, characteristic, complemented
16C2×#433×C79C211yesmaximal, characteristic
17#19099191—24no—
18#19099191C2218yes—
19#19099175—24no—
20#19099175C2218yes—
21C2×#14579161C2211yescharacteristic
22C2×#14579161C2211yescharacteristic
23C2×#14579161C2211yescharacteristic
24C2×#14579160—21no—
25C2×#14579154—21no—
26C2×#14579154—21no—
27C2×#14579153C2211yescharacteristic
28C2×#14579153C2211yescharacteristic
29C2×#14579153C2211yescharacteristic
30C2×#14579152—21no—
31C2×#14579151—21no—
32C2×#14579151—21no—
33C2×#14579140C2211yescharacteristic
34C2×#14579140C2211yescharacteristic
35C2×#14579138—21no—
36C2×#14579138—21no—
37C2×C4×Dic158C2211yescharacteristic
38C2×C4×Dic158C2211yescharacteristic
39C2×#14579120C2211yescharacteristic
40C22×C4⋊Dic79C2211yescharacteristic
41#19098972C2218yescomplemented
42#19098965C2218yescomplemented
43#19098932C2218yescomplemented
44#19098914C2218yescomplemented
45#19098905C2218yes—
46#19098905C2218yes—
47#19098899C2218yes—
48#19098894C2218yes—
49#19098871C2218yescomplemented
50#19098871C2218yescomplemented
51#19098859C2218yescomplemented
52#19098849C2218yescomplemented
53C2×#14579095C2211yescharacteristic
54C2×#14579095C2211yescharacteristic
55C2×#14579095C2211yescharacteristic
56C2×#14579095C2211yescharacteristic
57C2×#14579093C2211yescharacteristic
58C2×#14579093C2211yescharacteristic
59C2×#14579093C2211yescharacteristic
60C2×#14579093C2211yescharacteristic
61C2×#14579086C2211yescharacteristic
62C2×#14579086C2211yescharacteristic
63C2×#14579086C2211yescharacteristic
64C2×#14579086C2211yescharacteristic
65C2×#14579086C2211yescharacteristic
66C2×#14579086C2211yescharacteristic
67C2×#14579086C2211yescharacteristic
68C2×#14579086C2211yescharacteristic
69C2×#117×C79C2211yescharacteristic
70#433×C79C2218yes—
71C2×C4⋊C8×C79C2211yescharacteristic
72C2×C4⋊C8×C79C2211yescharacteristic
73C2×C22⋊C8×C79C2211yescharacteristic
74C2×C22⋊C8×C79C2211yescharacteristic
75C2×#97×C79C2211yescharacteristic
76C2×C4×C8×C79C2211yescharacteristic
77C22×Dic158—21no—
78C22×Dic158—21no—
79C22×Dic158C2311yescharacteristic
80C22×Dic158C2311yescharacteristic
81C23×Dic79—21no—
82#14579161—22no—
83#14579161—22no—
84#14579161—22no—
85#14579161C2314yes—
86#14579161C2314yes—
87#14579161C2314yes—
88#14579160—28no—
89#14579154—28no—
90#14579154—28no—
91#14579153—22no—
92#14579153—22no—
93#14579153—22no—
94#14579153C2314yes—
95#14579153C2314yes—
96#14579153C2314yes—
97#14579152—28no—
98#14579151—28no—
99#14579151—28no—
100#14579140—22no—
101#14579140—22no—
102#14579140C2314yes—
103#14579140C2314yes—
104#14579138—28no—
105#14579138—28no—
106C4×Dic158—22no—
107C4×Dic158—22no—
108C4×Dic158C2314yes—
109C4×Dic158C2314yes—
110#14579120—22no—
111#14579120C2314yes—
112C2×C4⋊Dic79—22no—
113C2×C4⋊Dic79—21no—
114C2×C4⋊Dic79—21no—
115C2×C4⋊Dic79—21no—
116C2×C4⋊Dic79—21no—
117C2×C4⋊Dic79—21no—
118C2×C4⋊Dic79C2314yes—
119C2×C4⋊Dic79C2311yescharacteristic
120C2×C4⋊Dic79C2311yescharacteristic
121C2×C4⋊Dic79C2311yescharacteristic
122C2×C4⋊Dic79C2311yescharacteristic
123C2×C4⋊Dic79C2311yescharacteristic
124C2×C4⋊Dic79C2311yescharacteristic
125C2×Dic79⋊C4—21no—
126C2×Dic79⋊C4—21no—
127C2×Dic79⋊C4—21no—
128C2×Dic79⋊C4—21no—
129C2×Dic79⋊C4—21no—
130C2×Dic79⋊C4—21no—
131C2×Dic79⋊C4—21no—
132C2×Dic79⋊C4—21no—
133C2×Dic79⋊C4—21no—
134C2×Dic79⋊C4—21no—
135C2×C22⋊Dic79—21no—
136C2×C22⋊Dic79—21no—
137C2×C22⋊Dic79—21no—
138C2×C4×Dic79—21no—
139C2×C4×Dic79—21no—
140C2×C4×Dic79—21no—
141#14579095C2314yes—
142#14579095C2314yes—
143#14579095C2314yes—
144#14579095C2314yes—
145#14579093C2314yes—
146#14579093C2314yes—
147#14579093C2314yes—
148#14579093C2314yes—
149#14579086C2314yes—
150#14579086C2314yes—
151#14579086C2314yes—
152#14579086C2314yes—
153#14579086C2314yes—
154#14579086C2314yes—
155#14579086C2314yes—
156#14579086C2314yes—
157C23×C4×C79C2311yescharacteristic
158C22×C8×C79C2311yescharacteristic
159C22×C8×C79C2311yescharacteristic
160C22×C8×C79C2311yescharacteristic
161C22×C8×C79C2311yescharacteristic
162#117×C79D414yes—
163#117×C79C2314yes—
164C2×C4⋊C4×C79D411yescharacteristic
165C2×C4⋊C4×C79D411yescharacteristic
166C2×C22⋊C4×C79D411yescharacteristic
167C2×C22⋊C4×C79D411yescharacteristic
168C2×C42×C79C2311yescharacteristic
169C2×C42×C79C2311yescharacteristic
170C4⋊C8×C79C2314yes—
171C4⋊C8×C79C2314yes—
172C22⋊C8×C79C2314yes—
173C22⋊C8×C79C2314yes—
174#97×C79C2314yes—
175C4×C8×C79C2314yes—
176C2×Dic158—21no—
177C2×Dic158—21no—
178C2×Dic158—24no—
179C2×Dic158—24no—
180C2×Dic158—22no—
181C2×Dic158—22no—
182C2×Dic158—22no—
183C2×Dic158—22no—
184C2×Dic158—82no—
185C2×Dic158—82no—
186C2×Dic158C2412yes—
187C2×Dic158C2412yes—
188C22×Dic79—21no—
189C22×Dic79—21no—
190C22×Dic79—21no—
191C22×Dic79—21no—
192C22×Dic79—21no—
193C22×Dic79—21no—
194C22×Dic79—21no—
195C22×Dic79—21no—
196C22×Dic79—24no—
197C22×Dic79—82no—
198C4⋊Dic79—24no—
199C4⋊Dic79—21no—
200C4⋊Dic79—21no—
201C4⋊Dic79—24no—
202C4⋊Dic79—24no—
203C4⋊Dic79—24no—
204C4⋊Dic79—24no—
205C4⋊Dic79—21no—
206C4⋊Dic79—21no—
207C4⋊Dic79—21no—
208C4⋊Dic79—21no—
209C4⋊Dic79C2412yes—
210C4⋊Dic79C2412yes—
211C4⋊Dic79C2412yes—
212C4⋊Dic79C2412yes—
213C4⋊Dic79C2412yes—
214C4⋊Dic79C2412yes—
215Dic79⋊C4—24no—
216Dic79⋊C4—24no—
217Dic79⋊C4—24no—
218Dic79⋊C4—24no—
219Dic79⋊C4—24no—
220Dic79⋊C4—24no—
221Dic79⋊C4—24no—
222Dic79⋊C4—24no—
223Dic79⋊C4—24no—
224Dic79⋊C4—24no—
225C22⋊Dic79—24no—
226C22⋊Dic79—24no—
227C22⋊Dic79—24no—
228C4×Dic79—24no—
229C4×Dic79—24no—
230C4×Dic79—24no—
231C24×C79C2×D411yescharacteristic
232C22×C4×C79—22no—
233C22×C4×C79—22no—
234C22×C4×C79C2×D411yescharacteristic
235C22×C4×C79C2×D411yescharacteristic
236C22×C4×C79C2×D411yescharacteristic
237C22×C4×C79C2×D411yescharacteristic
238C22×C4×C79C2×D411yescharacteristic
239C22×C4×C79C2×D412yes—
240C22×C4×C79C2412yes—
241C22×C4×C79C2411yescharacteristic
242C2×C8×C79—22no—
243C2×C8×C79—22no—
244C2×C8×C79—22no—
245C2×C8×C79—22no—
246C2×C8×C79C2412yes—
247C2×C8×C79C2412yes—
248C2×C8×C79C2412yes—
249C2×C8×C79C2412yes—
250C4⋊C4×C79C2×D414yes—
251C4⋊C4×C79C2×D414yes—
252C22⋊C4×C79C2×D414yes—
253C22⋊C4×C79C2×D414yes—
254C42×C79C2×D412yes—
255C42×C79C2×D412yes—
256C42×C79C2412yes—
257C42×C79C2412yes—
258C23×C79—22no—
259C23×C79—22no—
260C23×C79—22no—
261C23×C79C22×D412yes—
262C23×C79C22×D411yescharacteristic
263C2×C4×C79—22no—
264C2×C4×C79—22no—
265C2×C4×C79—22no—
266C2×C4×C79—22no—
267C2×C4×C79—22no—
268C2×C4×C79—24no—
269C2×C4×C79—22no—
270C2×C4×C79—22no—
271C2×C4×C79C22×D412yes—
272C2×C4×C79C22×D412yes—
273C2×C4×C79C22×D412yes—
274C2×C4×C79C22×D412yes—
275C2×C4×C79C22×D412yes—
276C2×C4×C79C22×D411yescharacteristic
277C2×C4×C792−1+412yes—
278C2×C4×C792−1+412yes—
279C2×C4×C79C2511yescharacteristic
280C2×Dic79—22no—
281C2×Dic79—22no—
282C2×Dic79—22no—
283C2×Dic79—22no—
284C2×Dic79—22no—
285C2×Dic79—22no—
286C2×Dic79—22no—
287C2×Dic79—22no—
288C2×Dic79—42no—
289C2×Dic79—42no—
290C2×Dic79—42no—
291C2×Dic79—42no—
292C2×Dic79—42no—
293C2×Dic79—42no—
294C2×Dic79—42no—
295C2×Dic79—42no—
296C2×Dic79—84no—
297Dic158—22no—
298Dic158—22no—
299Dic158—22no—
300Dic158—22no—
301Dic158—42no—
302Dic158—42no—
303Dic158—84no—
304Dic158—84no—
305C8×C79—22no—
306C8×C79—22no—
307C8×C79—22no—
308C8×C79—22no—
309C22×C79—22no—
310C22×C79—22no—
311C22×C79—22no—
312C22×C79—44no—
313C22×C79#53612yes—
314C22×C79#57712yes—
315C22×C79#57812yes—
316C22×C79C23×D411yescharacteristic
317C4×C79—22no—
318C4×C79—22no—
319C4×C79—22no—
320C4×C79—22no—
321C4×C79—22no—
322C4×C79#53612yes—
323C4×C79C2×2−1+411yescharacteristic
324C4×C79C2×2−1+411yescharacteristic
325Dic79—42no—
326Dic79—42no—
327Dic79—42no—
328Dic79—42no—
329Dic79—42no—
330Dic79—42no—
331Dic79—42no—
332Dic79—42no—
333C2×#3242—791nomaximal, Sylow
334C2×C79—42no—
335C2×C79#324214yescomplemented
336C2×C79C2×#53611yescharacteristic
337C2×C79C2×#57711yescharacteristic
338C2×C79C2×#57811yescharacteristic
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×#475—791no—
354C2×#433D7911yescharacteristic
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—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×Q8—791no—
378C2×#117—791no—
379C2×#117C2×D7911yescharacteristic
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#475—798no—
393#433C2×D7918yes—
394C2×#107—791no—
395C2×#107—791no—
396C2×#107—791no—
397C2×#107—791no—
398C2×#106—791no—
399C2×#106—791no—
400C2×#106—791no—
401C2×#106—791no—
402C2×C4⋊C8C2×D7911yescharacteristic
403C2×C4⋊C8C2×D7911yescharacteristic
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⋊C8C2×D7911yescharacteristic
413C2×C22⋊C8C2×D7911yescharacteristic
414C2×#97C2×D7911yescharacteristic
415C2×C4×C8C2×D7911yescharacteristic
416C22×Q8—791no—
417C22×Q8—791no—
418C22×Q8—1581no—
419C22×Q8—1581no—
420C23×C4—1581no—
421C23×C4C22×D7911yescharacteristic
422C22×C8C22×D7911yescharacteristic
423C22×C8C22×D7911yescharacteristic
424C22×C8C22×D7911yescharacteristic
425C22×C8C22×D7911yescharacteristic
426C4⋊Q8—794no—
427C4⋊Q8—794no—
428C4⋊Q8—794no—
429C4⋊Q8—1588no—
430C4⋊Q8—1582no—
431C4⋊Q8—1582no—
432C4⋊Q8—1582no—
433#126—1588no—
434#126—1588no—
435#125—794no—
436#125—794no—
437#125—794no—
438#125—1588no—
439#125—1588no—
440#125—1588no—
441#125—1582no—
442#125—1582no—
443#125—1582no—
444C22⋊Q8—794no—
445C22⋊Q8—794no—
446C22⋊Q8—1582no—
447C22⋊Q8—1582no—
448C22⋊Q8—1588no—
449C22⋊Q8—1588no—
450C4×Q8—794no—
451C4×Q8—794no—
452C4×Q8—1582no—
453C4×Q8—1582no—
454#117—794no—
455#117—1582no—
456#117D31614yes—
457#117C22×D7914yes—
458C2×C4⋊C4—791no—
459C2×C4⋊C4—791no—
460C2×C4⋊C4—794no—
461C2×C4⋊C4—791no—
462C2×C4⋊C4—791no—
463C2×C4⋊C4—791no—
464C2×C4⋊C4—791no—
465C2×C4⋊C4—1581no—
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⋊C4—1581no—
481C2×C4⋊C4D31611yescharacteristic
482C2×C4⋊C4D31611yescharacteristic
483C2×C22⋊C4—1581no—
484C2×C22⋊C4—1581no—
485C2×C22⋊C4—1581no—
486C2×C22⋊C4D31611yescharacteristic
487C2×C22⋊C4D31611yescharacteristic
488C2×C42—1581no—
489C2×C42—1581no—
490C2×C42—1581no—
491C2×C42C22×D7911yescharacteristic
492C2×C42C22×D7911yescharacteristic
493#107—794no—
494#107—794no—
495#107—794no—
496#107—794no—
497#106—794no—
498#106—794no—
499#106—794no—
500#106—794no—
501C4⋊C8C22×D7914yes—
502C4⋊C8C22×D7914yes—
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⋊C8C22×D7914yes—
512C22⋊C8C22×D7914yes—
513#97C22×D7914yes—
514C4×C8C22×D7914yes—
515C24C2×D31611yescharacteristic
516C2×Q8—792no—
517C2×Q8—792no—
518C2×Q8—6322no—
519C2×Q8—6322no—
520C2×Q8—1582no—
521C2×Q8—1582no—
522C2×Q8—1582no—
523C2×Q8—1582no—
524C2×Q8—1581no—
525C2×Q8—1581no—
526C2×Q8—1584no—
527C2×Q8—1584no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—6322no—
531C22×C4—1581no—
532C22×C4—1581no—
533C22×C4—1581no—
534C22×C4—1581no—
535C22×C4—1581no—
536C22×C4—1581no—
537C22×C4—1581no—
538C22×C4—1581no—
539C22×C4—1584no—
540C22×C4C2×D31612yes—
541C22×C4C2×D31611yescharacteristic
542C22×C4C2×D31611yescharacteristic
543C22×C4C2×D31611yescharacteristic
544C22×C4C2×D31611yescharacteristic
545C22×C4C2×D31611yescharacteristic
546C22×C4C23×D7912yes—
547C22×C4C23×D7911yescharacteristic
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8C23×D7912yes—
553C2×C8C23×D7912yes—
554C2×C8C23×D7912yes—
555C2×C8C23×D7912yes—
556C4⋊C4—792no—
557C4⋊C4—792no—
558C4⋊C4—792no—
559C4⋊C4—792no—
560C4⋊C4—792no—
561C4⋊C4—792no—
562C4⋊C4—1584no—
563C4⋊C4—1584no—
564C4⋊C4—1584no—
565C4⋊C4—1584no—
566C4⋊C4—1584no—
567C4⋊C4—1584no—
568C4⋊C4—1584no—
569C4⋊C4—1584no—
570C4⋊C4—1584no—
571C4⋊C4—1584no—
572C4⋊C4—1584no—
573C4⋊C4—1581no—
574C4⋊C4—1581no—
575C4⋊C4—1581no—
576C4⋊C4—1581no—
577C4⋊C4—1581no—
578C4⋊C4—1581no—
579C4⋊C4—1584no—
580C4⋊C4—1584no—
581C4⋊C4—1584no—
582C4⋊C4—1584no—
583C4⋊C4C2×D31614yes—
584C4⋊C4C2×D31614yes—
585C22⋊C4—1584no—
586C22⋊C4—1584no—
587C22⋊C4—1584no—
588C22⋊C4C2×D31614yes—
589C22⋊C4C2×D31614yes—
590C42—1584no—
591C42—1584no—
592C42—1584no—
593C42C2×D31612yes—
594C42C2×D31612yes—
595C42C23×D7912yes—
596C42C23×D7912yes—
597C23—22no—
598C23—22no—
599C23—22no—
600C23C22×D31612yes—
601C23C22×D31611yescharacteristic
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—24no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—3162no—
619C2×C4—3162no—
620C2×C4—3162no—
621C2×C4—3162no—
622C2×C4—3162no—
623C2×C4—3162no—
624C2×C4—3162no—
625C2×C4—3162no—
626C2×C4—6324no—
627C2×C4—1582no—
628C2×C4—1582no—
629C2×C4—1582no—
630C2×C4—1582no—
631C2×C4—1582no—
632C2×C4—1582no—
633C2×C4—1582no—
634C2×C4—1582no—
635C2×C4C22×D31612yes—
636C2×C4C22×D31612yes—
637C2×C4C22×D31612yes—
638C2×C4C22×D31612yes—
639C2×C4C22×D31612yes—
640C2×C4C22×D31611yescharacteristic
641C2×C4#1457920812yes—
642C2×C4#1457920812yes—
643C2×C4C24×D7911yescharacteristic
644C8—22no—
645C8—22no—
646C8—22no—
647C8—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—44no—
652C22#1909913912yes—
653C22#1909937512yes—
654C22#1909938012yes—
655C22C23×D31611yescharacteristic
656C4—22no—
657C4—22no—
658C4—22no—
659C4—22no—
660C4—22no—
661C4—3162no—
662C4—3162no—
663C4—3162no—
664C4—3162no—
665C4—3162no—
666C4—3162no—
667C4—3162no—
668C4—3162no—
669C4#1909913912yes—
670C4C2×#1457920811yescharacteristic
671C4C2×#1457920811yescharacteristic
672C2—42no—
673C2#2377467014yesdirect product factor
674C2C2×#1909913911yescharacteristic
675C2C2×#1909937511yescharacteristic
676C2C2×#1909938011yescharacteristic
subgroupG/H
centerC23C22×D316
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC2×#433×C79C2
socleC23×C79C22×D4
prime radicalC24×C79C2×D4
hypercenterC2×#433D79
hypocenterC79C2×#3242
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
3. #23774670C2direct (N × H)
4. C2×#19098972C2semidirect
5. C2×#19098965C2semidirect
6. C2×#19098932C2semidirect
7. C2×#19098914C2semidirect
12. C2×#19098871C2semidirect
13. C2×#19098871C2semidirect
14. C2×#19098859C2semidirect
15. C2×#19098849C2semidirect
41. #19098972C22semidirect
42. #19098965C22semidirect
43. #19098932C22semidirect
44. #19098914C22semidirect
49. #19098871C22semidirect
50. #19098871C22semidirect
51. #19098859C22semidirect
52. #19098849C22semidirect
335. C2×C79#3242semidirect
355. C79C2×#3242semidirect
673. C2#23774670direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#190991912
C2×#190991752
#237746702
C2×#190989722
C2×#190989652
C2×#190989322
C2×#190989142
C2×#190988992
C2×#190989052
C2×#190988942
C2×#190988712
C2×#190988592
C2×#190988492
C2×#433×C792
C2×#324279