Finite Group Databasebeta

← C2×#23776338 #35168789

Subgroups — C2×#23776338 #35168789

Order 20224.

1822 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099288C211yesmaximal, characteristic, complemented
2C2×#19099272C211yesmaximal, characteristic
3#23776338C2116yesmaximal, direct product factor
4C2×#19098970C211yesmaximal, characteristic, complemented
5C2×#19098969C211yesmaximal, characteristic, complemented
6C2×#19098963C211yesmaximal, characteristic, complemented
7C2×#19098873C211yesmaximal, characteristic, complemented
8C2×#19098871C211yesmaximal, characteristic, complemented
9C2×#19098847C211yesmaximal, characteristic, complemented
10C2×#19098865C211yesmaximal, characteristic
11C2×#19098861C211yesmaximal, characteristic
12C2×#19098692C211yesmaximal, characteristic, complemented
13C2×#19098663C211yesmaximal, characteristic
14C2×#19098660C211yesmaximal, characteristic
15C2×#19098654C211yesmaximal, characteristic
16C2×#476×C79C211yesmaximal, characteristic
17C22×#11929612C2211yescharacteristic
18#19099288—24no—
19#19099288C2218yescomplemented
20#19099272—24no—
21#19099272C2218yes—
22C2×#14579160C2211yescharacteristic
23C2×#14579159—21no—
24C2×#14579153C2211yescharacteristic
25C2×#14579152C2211yescharacteristic
26C2×#14579152C2211yescharacteristic
27C2×#14579152C2211yescharacteristic
28C2×#14579151—21no—
29C2×#14579151—21no—
30C2×#14579140—21no—
31C2×#14579138—21no—
32C2×#14579138—21no—
33C2×Q8×Dic79—21no—
34C2×C4×Dic158C2211yescharacteristic
35C2×C4×Dic158C2211yescharacteristic
36C2×#14579126C2211yescharacteristic
37C2×#14579126C2211yescharacteristic
38C2×D4×Dic79C2211yescharacteristic
39C2×D4×Dic79C2211yescharacteristic
40C22×Dic79⋊C4—21no—
41#19098970C2218yescomplemented
42#19098969C2218yescomplemented
43#19098963C2218yescomplemented
44#19098873C2218yescomplemented
45#19098871C2218yescomplemented
46#19098865C2218yes—
47#19098861C2218yes—
48#19098847C2218yescomplemented
49#19098692C2218yescomplemented
50#19098663C2218yes—
51#19098660C2218yes—
52#19098654C2218yes—
53C2×#14579095C2211yescharacteristic
54C2×#14579094C2211yescharacteristic
55C2×#14579094C2211yescharacteristic
56C2×#14579094C2211yescharacteristic
57C2×#14579093C2211yescharacteristic
58C2×#14579092C2211yescharacteristic
59C2×#14579092C2211yescharacteristic
60C2×Dic79⋊C8C2211yescharacteristic
61C2×Dic79⋊C8C2211yescharacteristic
62C2×#14579086C2211yescharacteristic
63C2×#14579086C2211yescharacteristic
64C2×#14579084C2211yescharacteristic
65C2×#14579082C2211yescharacteristic
66C2×#14579072C2211yescharacteristic
67C2×#14579071C2211yescharacteristic
68C2×C8×Dic79C2211yescharacteristic
69C2×C4⋊Q8×C79C2211yescharacteristic
70C2×C4×D4×C79C2211yescharacteristic
71#476×C79C2218yes—
72C2×#106×C79C2211yescharacteristic
73C2×#106×C79C2211yescharacteristic
74C2×C4⋊C8×C79C2211yescharacteristic
75C2×#102×C79C2211yescharacteristic
76C2×#102×C79C2211yescharacteristic
77C22×Dic158—21no—
78C22×Dic158D411yescharacteristic
79C22×Dic158C2311yescharacteristic
80C23×Dic79—21no—
81C23×Dic79—21no—
82C2×#11929612Q818yescomplemented
83C2×#11929612C2314yes—
84C22×C79⋊C8C2311yescharacteristic
85C22×C79⋊C8C2311yescharacteristic
86#14579160—22no—
87#14579160C2314yes—
88#14579159—28no—
89#14579153—22no—
90#14579153C2314yes—
91#14579152—22no—
92#14579152—22no—
93#14579152—22no—
94#14579152C2314yes—
95#14579152C2314yes—
96#14579152C2314yes—
97#14579151—28no—
98#14579151—28no—
99#14579140—28no—
100#14579138—28no—
101#14579138—28no—
102Q8×Dic79—28no—
103C4×Dic158—22no—
104C4×Dic158D414yes—
105C4×Dic158C2314yes—
106C4×Dic158C2314yes—
107#14579126—22no—
108#14579126—22no—
109#14579126C2314yes—
110#14579126C2314yes—
111D4×Dic79—22no—
112D4×Dic79—22no—
113D4×Dic79C2314yes—
114D4×Dic79C2314yes—
115C2×C4⋊Dic79—21no—
116C2×C4⋊Dic79—21no—
117C2×C4⋊Dic79—21no—
118C2×C4⋊Dic79D411yescharacteristic
119C2×C4⋊Dic79C2311yescharacteristic
120C2×C4⋊Dic79C2311yescharacteristic
121C2×C4⋊Dic79C2311yescharacteristic
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×Dic79⋊C4—21no—
129C2×Dic79⋊C4—21no—
130C2×Dic79⋊C4—21no—
131C2×Dic79⋊C4—28no—
132C2×Dic79⋊C4D411yescharacteristic
133C2×Dic79⋊C4D411yescharacteristic
134C2×C22⋊Dic79—21no—
135C2×C22⋊Dic79—21no—
136C2×C4×Dic79—21no—
137C2×C4×Dic79—21no—
138C2×C4×Dic79—21no—
139C2×C4×Dic79C2311yescharacteristic
140C2×C4×Dic79C2311yescharacteristic
141#14579095C2314yes—
142#14579094C2314yes—
143#14579094C2314yes—
144#14579094C2314yes—
145#14579093C2314yes—
146#14579092C2314yes—
147#14579092C2314yes—
148Dic79⋊C8C2314yes—
149Dic79⋊C8C2314yes—
150#14579086C2314yes—
151#14579086C2314yes—
152#14579084C2314yes—
153#14579082C2314yes—
154#14579072C2314yes—
155#14579071C2314yes—
156C8×Dic79C2314yes—
157C22×Q8×C79—21no—
158C22×D4×C79C2311yescharacteristic
159C23×C4×C79—21no—
160C22×C8×C79C2311yescharacteristic
161C22×C8×C79C2311yescharacteristic
162C4⋊Q8×C79—22no—
163C4⋊Q8×C79C2314yes—
164C4×D4×C79—22no—
165C4×D4×C79C2314yes—
166C2×C4⋊C4×C79—21no—
167C2×C4⋊C4×C79C2311yescharacteristic
168C2×C4⋊C4×C79C2311yescharacteristic
169C2×C4⋊C4×C79C2311yescharacteristic
170C2×C22⋊C4×C79—21no—
171C2×C42×C79C2311yescharacteristic
172#106×C79C2314yes—
173#106×C79C2314yes—
174C4⋊C8×C79C2314yes—
175#102×C79C2314yes—
176#102×C79C2314yes—
177C2×Dic158—24no—
178C2×Dic158—21no—
179C2×Dic158—22no—
180C2×Dic158—42no—
181C2×Dic158—82no—
182C2×Dic158C2×D414yes—
183C2×Dic158C2×Q814yes—
184C2×Dic158C2412yes—
185C22×Dic79—24no—
186C22×Dic79—24no—
187C22×Dic79—21no—
188C22×Dic79—21no—
189C22×Dic79—21no—
190C22×Dic79—21no—
191C22×Dic79—44no—
192C22×Dic79—82no—
193C22×Dic79C2×D411yescharacteristic
194C22×Dic79C2×D411yescharacteristic
195C22×Dic79C2×D411yescharacteristic
196C22×Dic79C2×D411yescharacteristic
197#11929612C2×Q8116yescomplemented
198C2×C79⋊C8—22no—
199C2×C79⋊C8C2×Q814yes—
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⋊Dic79C2×D414yes—
209C4⋊Dic79C2412yes—
210C4⋊Dic79C2412yes—
211C4⋊Dic79C2412yes—
212Dic79⋊C4—24no—
213Dic79⋊C4—24no—
214Dic79⋊C4—24no—
215Dic79⋊C4—24no—
216Dic79⋊C4—24no—
217Dic79⋊C4—24no—
218Dic79⋊C4—24no—
219Dic79⋊C4—24no—
220Dic79⋊C4—24no—
221Dic79⋊C4C2×D414yes—
222Dic79⋊C4C2×D414yes—
223C22⋊Dic79—24no—
224C22⋊Dic79—24no—
225C4×Dic79—24no—
226C4×Dic79—24no—
227C4×Dic79—24no—
228C4×Dic79C2×D412yes—
229C4×Dic79C2×D412yes—
230C4×Dic79C2412yes—
231C4×Dic79C2412yes—
232C24×C79—21no—
233C2×Q8×C79—24no—
234C2×Q8×C79—44no—
235C2×D4×C79—21no—
236C2×D4×C79—22no—
237C2×D4×C79C2×Q814yes—
238C2×D4×C79C2412yes—
239C22×C4×C79—21no—
240C22×C4×C79—21no—
241C22×C4×C79—21no—
242C22×C4×C79—24no—
243C22×C4×C79—82no—
244C22×C4×C79C2×D411yescharacteristic
245C22×C4×C79C2×D411yescharacteristic
246C22×C4×C79C2411yescharacteristic
247C2×C8×C79—22no—
248C2×C8×C79—22no—
249C2×C8×C79C2412yes—
250C2×C8×C79C2412yes—
251C4⋊C4×C79—24no—
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—
259C42×C79C2×D412yes—
260C42×C79C2412yes—
261C23×C79—24no—
262C23×C79—22no—
263C23×C79—42no—
264C23×C79—42no—
265C23×C79C22×D411yescharacteristic
266Q8×C79—48no—
267D4×C79—24no—
268D4×C79—22no—
269D4×C79C22×Q814yes—
270C2×C4×C79—22no—
271C2×C4×C79—22no—
272C2×C4×C79—22no—
273C2×C4×C79—22no—
274C2×C4×C79—22no—
275C2×C4×C79—42no—
276C2×C4×C79—42no—
277C2×C4×C79—42no—
278C2×C4×C79—84no—
279C2×C4×C79C22×D412yes—
280C2×C4×C79C22×D412yes—
281C2×C4×C79C22×D411yescharacteristic
282C2×C4×C79C22×Q812yes—
283C2×C4×C792−1+412yes—
284C2×C4×C79C2511yescharacteristic
285C2×Dic79—24no—
286C2×Dic79—22no—
287C2×Dic79—22no—
288C2×Dic79—22no—
289C2×Dic79—22no—
290C2×Dic79—22no—
291C2×Dic79—22no—
292C2×Dic79—22no—
293C2×Dic79—22no—
294C2×Dic79—48no—
295C2×Dic79—42no—
296C2×Dic79—42no—
297C2×Dic79—42no—
298C2×Dic79—84no—
299C2×Dic79C22×D412yes—
300C2×Dic79C22×D412yes—
301C2×Dic79C22×D412yes—
302C2×Dic79C22×D412yes—
303Dic158—24no—
304Dic158—22no—
305Dic158—44no—
306Dic158—84no—
307Dic158C22×Q814yes—
308C8×C79—22no—
309C8×C79—22no—
310C79⋊C8—22no—
311C79⋊C8C22×Q814yes—
312C22×C79—24no—
313C22×C79—48no—
314C22×C79—42no—
315C22×C79—42no—
316C22×C79D4×Q812yes—
317C22×C79#57512yes—
318C22×C79#57712yes—
319C22×C79C23×D411yescharacteristic
320C4×C79—22no—
321C4×C79—22no—
322C4×C79—42no—
323C4×C79—42no—
324C4×C79—42no—
325C4×C79D4×Q812yes—
326C4×C79C23×Q811yescharacteristic
327C4×C79C2×2−1+411yescharacteristic
328Dic79—24no—
329Dic79—22no—
330Dic79—22no—
331Dic79—22no—
332Dic79—22no—
333Dic79—42no—
334Dic79—42no—
335Dic79—42no—
336C2×#3388—791nomaximal, Sylow
337C2×C79—44no—
338C2×C79#338814yescomplemented
339C2×C79C2×D4×Q811yescharacteristic
340C2×C79C2×#57511yescharacteristic
341C2×C79C2×#57711yescharacteristic
342C2×#557—791no—
343C2×#554—791no—
344#3388—7916no—
345C2×#501—791no—
346C2×#501—791no—
347C2×#499—791no—
348C2×#479—791no—
349C2×#479—791no—
350C2×#475—791no—
351C2×#478—791no—
352C2×#478—791no—
353C2×#476D7911yescharacteristic
354C2×#446—791no—
355C2×#440—791no—
356C2×#440—791no—
357C2×C4×SD16—791no—
358C79C2×#338811yescharacteristic, complemented, Sylow
359C22×SD16—791no—
360#557—798no—
361#557—1584no—
362#554—798no—
363#554—1584no—
364C2×C4⋊Q8—791no—
365C2×C4⋊Q8—1581no—
366C2×C4⋊Q8C2×D7911yescharacteristic
367C2×#125—791no—
368C2×#125—791no—
369C2×#125—791no—
370C2×#125—791no—
371C2×#125—1581no—
372C2×#125—1581no—
373C2×C22⋊Q8—1581no—
374C2×C22⋊Q8—1581no—
375C2×C22⋊Q8—1581no—
376C2×C4×Q8—791no—
377C2×C4×Q8—791no—
378C2×C4×Q8—791no—
379C2×C4×Q8—791no—
380C2×C4×Q8—1581no—
381C2×C4×D4—791no—
382C2×C4×D4—791no—
383C2×C4×D4C2×D7911yescharacteristic
384C22×C4⋊C4—1581no—
385#501—798no—
386#501—798no—
387#499—798no—
388#479—798no—
389#479—798no—
390#478—798no—
391#478—798no—
392#476C2×D7918yes—
393#475—798no—
394#446—798no—
395#440—798no—
396#440—798no—
397C4×SD16—798no—
398C2×#107—791no—
399C2×#107—791no—
400C2×#107—791no—
401C2×#107—791no—
402C2×#106—791no—
403C2×#106—791no—
404C2×#106—791no—
405C2×#106C2×D7911yescharacteristic
406C2×#106C2×D7911yescharacteristic
407C2×C4⋊C8—791no—
408C2×C4⋊C8—791no—
409C2×C4⋊C8C2×D7911yescharacteristic
410C2×#103—791no—
411C2×#103—791no—
412C2×#103—791no—
413C2×#102—791no—
414C2×#102C2×D7911yescharacteristic
415C2×#102C2×D7911yescharacteristic
416C2×#97—791no—
417C2×#97—791no—
418C2×C4×C8—791no—
419C22×Q8—21no—
420C22×Q8—791no—
421C22×Q8—791no—
422C22×Q8—1581no—
423C22×D4C22×D7911yescharacteristic
424C23×C4—21no—
425C23×C4—1581no—
426C23×C4—1581no—
427C2×SD16—798no—
428C2×SD16—794no—
429C22×C8—791no—
430C22×C8—791no—
431C22×C8C22×D7911yescharacteristic
432C22×C8C22×D7911yescharacteristic
433C4⋊Q8—22no—
434C4⋊Q8—794no—
435C4⋊Q8—1582no—
436C4⋊Q8—1588no—
437C4⋊Q8C22×D7914yes—
438#125—794no—
439#125—794no—
440#125—794no—
441#125—794no—
442#125—1582no—
443#125—1582no—
444#125—1582no—
445#125—1588no—
446#125—1588no—
447#125—1582no—
448C22⋊Q8—1588no—
449C22⋊Q8—1588no—
450C22⋊Q8—1588no—
451C4×Q8—794no—
452C4×Q8—794no—
453C4×Q8—794no—
454C4×Q8—794no—
455C4×Q8—794no—
456C4×Q8—1582no—
457C4×Q8—1582no—
458C4×Q8—1588no—
459C4×Q8—1582no—
460C4×D4—22no—
461C4×D4—794no—
462C4×D4—794no—
463C4×D4—1582no—
464C4×D4—1582no—
465C4×D4C22×D7914yes—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—791no—
468C2×C4⋊C4—791no—
469C2×C4⋊C4—791no—
470C2×C4⋊C4—791no—
471C2×C4⋊C4—791no—
472C2×C4⋊C4—791no—
473C2×C4⋊C4—1588no—
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⋊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—1581no—
491C2×C22⋊C4—1581no—
492C2×C42—791no—
493C2×C42—791no—
494C2×C42—1581no—
495C2×C42—1581no—
496C2×C42—1581no—
497C2×C42C22×D7911yescharacteristic
498#107—794no—
499#107—794no—
500#107—794no—
501#107—794no—
502#106—794no—
503#106—794no—
504#106—794no—
505#106C22×D7914yes—
506#106C22×D7914yes—
507C4⋊C8—794no—
508C4⋊C8—794no—
509C4⋊C8C22×D7914yes—
510#103—794no—
511#103—794no—
512#103—794no—
513#102—794no—
514#102C22×D7914yes—
515#102C22×D7914yes—
516#97—794no—
517#97—794no—
518C4×C8—794no—
519C24—21no—
520C2×Q8—24no—
521C2×Q8—44no—
522C2×Q8—3162no—
523C2×Q8—794no—
524C2×Q8—794no—
525C2×Q8—792no—
526C2×Q8—6322no—
527C2×Q8—1584no—
528C2×Q8—1582no—
529C2×Q8—1581no—
530C2×D4—22no—
531C2×D4—21no—
532C2×D4Q8×D7914yes—
533C2×D4C23×D7912yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—24no—
538C22×C4—82no—
539C22×C4—3164no—
540C22×C4—791no—
541C22×C4—791no—
542C22×C4—791no—
543C22×C4—791no—
544C22×C4—6322no—
545C22×C4—1584no—
546C22×C4—1581no—
547C22×C4—1581no—
548C22×C4—1581no—
549C22×C4—1584no—
550C22×C4—1581no—
551C22×C4D4×D7911yescharacteristic
552C22×C4D4×D7911yescharacteristic
553C22×C4C23×D7911yescharacteristic
554SD16—7916no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8—794no—
558C2×C8—792no—
559C2×C8—792no—
560C2×C8—1582no—
561C2×C8C23×D7912yes—
562C2×C8C23×D7912yes—
563C4⋊C4—24no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—794no—
568C4⋊C4—794no—
569C4⋊C4—794no—
570C4⋊C4—792no—
571C4⋊C4—792no—
572C4⋊C4—792no—
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—1584no—
584C4⋊C4—1584no—
585C4⋊C4—1581no—
586C4⋊C4—1581no—
587C4⋊C4—1581no—
588C4⋊C4C23×D7912yes—
589C4⋊C4C23×D7912yes—
590C4⋊C4C23×D7912yes—
591C22⋊C4—24no—
592C22⋊C4—1584no—
593C22⋊C4—1584no—
594C42—792no—
595C42—792no—
596C42—792no—
597C42—792no—
598C42—1584no—
599C42—1584no—
600C42—1584no—
601C42D4×D7912yes—
602C42C23×D7912yes—
603C23—24no—
604C23—22no—
605C23—42no—
606C23—42no—
607C23C2×D4×D7911yescharacteristic
608Q8—48no—
609Q8—3164no—
610Q8—794no—
611Q8—6324no—
612Q8—1582no—
613Q8—1584no—
614D4—22no—
615D4—24no—
616D4C2×Q8×D7914yes—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—84no—
626C2×C4—3162no—
627C2×C4—3162no—
628C2×C4—3162no—
629C2×C4—3168no—
630C2×C4—792no—
631C2×C4—792no—
632C2×C4—792no—
633C2×C4—792no—
634C2×C4—6324no—
635C2×C4—1582no—
636C2×C4—1582no—
637C2×C4—1582no—
638C2×C4—1584no—
639C2×C4—1582no—
640C2×C4—1582no—
641C2×C4—1582no—
642C2×C4—1582no—
643C2×C4—1582no—
644C2×C4C2×D4×D7912yes—
645C2×C4C2×D4×D7912yes—
646C2×C4C2×D4×D7911yescharacteristic
647C2×C4C2×Q8×D7912yes—
648C2×C4#1457920812yes—
649C2×C4C24×D7911yescharacteristic
650C8—22no—
651C8—22no—
652C8—794no—
653C8—1582no—
654C22—24no—
655C22—48no—
656C22—42no—
657C22—42no—
658C22#1909922612yes—
659C22#1909935912yes—
660C22#1909936912yes—
661C22C22×D4×D7911yescharacteristic
662C4—22no—
663C4—22no—
664C4—42no—
665C4—42no—
666C4—42no—
667C4—3162no—
668C4—3162no—
669C4—3162no—
670C4—1582no—
671C4—1582no—
672C4—1584no—
673C4—1582no—
674C4—1582no—
675C4#1909922612yes—
676C4C22×Q8×D7911yescharacteristic
677C4C2×#1457920811yescharacteristic
678C2—44no—
679C2#2377633814yesdirect product factor
680C2C2×#1909922611yescharacteristic
681C2C2×#1909935911yescharacteristic
682C2C2×#1909936911yescharacteristic
subgroupG/H
centerC23C2×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC2×#476×C79C2
socleC23×C79C22×D4
prime radicalC22×D4×C79C23
hypercenterC2×#476D79
hypocenterC79C2×#3388
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#476

Complements

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

NH ≅ G/Ntype
1. C2×#19099288C2semidirect
3. #23776338C2direct (N × H)
4. C2×#19098970C2semidirect
5. C2×#19098969C2semidirect
6. C2×#19098963C2semidirect
7. C2×#19098873C2semidirect
8. C2×#19098871C2semidirect
9. C2×#19098847C2semidirect
12. C2×#19098692C2semidirect
19. #19099288C22semidirect
41. #19098970C22semidirect
42. #19098969C22semidirect
43. #19098963C22semidirect
44. #19098873C22semidirect
45. #19098871C22semidirect
48. #19098847C22semidirect
49. #19098692C22semidirect
82. C2×#11929612Q8semidirect
197. #11929612C2×Q8semidirect
338. C2×C79#3388semidirect
358. C79C2×#3388semidirect
679. C2#23776338direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#190992882
C2×#190992722
#237763382
C2×#190989702
C2×#190989692
C2×#190989632
C2×#190988732
C2×#190988712
C2×#190988472
C2×#190988652
C2×#190988612
C2×#190986922
C2×#190986632
C2×#190986602
C2×#190986542
C2×#476×C792
C2×#338879