Finite Group Databasebeta

← C2×#23776272 #35168705

Subgroups — C2×#23776272 #35168705

Order 20224.

1842 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×#19099290C211yesmaximal, characteristic, complemented
2C2×#19099269C211yesmaximal, characteristic
3#23776272C2116yesmaximal, direct product factor
4C2×#19098963C211yesmaximal, characteristic, complemented
5C2×#19098960C211yesmaximal, characteristic, complemented
6C2×#19098869C211yesmaximal, characteristic, complemented
7C2×#19098867C211yesmaximal, characteristic, complemented
8C2×#19098857C211yesmaximal, characteristic, complemented
9C2×#19098866C211yesmaximal, characteristic
10C2×#19098860C211yesmaximal, characteristic
11C2×#19098842C211yesmaximal, characteristic
12C2×C8×Dic158C211yesmaximal, characteristic, complemented
13C2×C4×#11929613C211yesmaximal, characteristic
14C2×#19098650C211yesmaximal, characteristic
15C2×#19098650C211yesmaximal, characteristic
16C2×#499×C79C211yesmaximal, characteristic, complemented
17C22×#11929613C2211yescharacteristic
18#19099290—24no—
19#19099290C2218yescomplemented
20#19099269—24no—
21#19099269C2218yes—
22C2×#14579160—21no—
23C2×#14579160C2211yescharacteristic
24C2×#14579160C2211yescharacteristic
25C2×#14579152C2211yescharacteristic
26C2×#14579152C2211yescharacteristic
27C2×#14579151—21no—
28C2×#14579151—21no—
29C2×#14579141—21no—
30C2×#14579139—21no—
31C2×#14579139—21no—
32C2×C4×Dic158C2211yescharacteristic
33C2×C4×Dic158C2211yescharacteristic
34C2×#14579126—21no—
35C2×#14579126C2211yescharacteristic
36C2×#14579126C2211yescharacteristic
37C2×C4×D316C2211yescharacteristic
38C2×#14579123C2211yescharacteristic
39C2×#14579123C2211yescharacteristic
40C2×C4⋊C4×D79—21no—
41#19098963C2218yescomplemented
42#19098960C2218yescomplemented
43#19098869C2218yescomplemented
44#19098867C2218yescomplemented
45#19098866C2218yes—
46#19098860C2218yes—
47#19098857C2218yescomplemented
48#19098842C2218yes—
49C8×Dic158C2218yescomplemented
50C4×#11929613C2218yes—
51#19098650C2218yes—
52#19098650C2218yes—
53C2×#14579094C2211yescharacteristic
54C2×#14579094C2211yescharacteristic
55C2×#14579093C2211yescharacteristic
56C2×#14579092C2211yescharacteristic
57C2×#14579092C2211yescharacteristic
58C2×C4⋊(C79⋊C8)C2211yescharacteristic
59C2×Dic79⋊C8C2211yescharacteristic
60C2×Dic79⋊C8C2211yescharacteristic
61C2×#14579086C2211yescharacteristic
62C2×#14579084C2211yescharacteristic
63C2×#14579084C2211yescharacteristic
64C2×#14579083C2211yescharacteristic
65C2×#14579081C2211yescharacteristic
66C2×#14579081C2211yescharacteristic
67C2×C8×Dic79C2211yescharacteristic
68C2×C8×Dic79C2211yescharacteristic
69C2×#125×C79C2211yescharacteristic
70C2×#125×C79C2211yescharacteristic
71#499×C79C2218yescomplemented
72C2×#107×C79C2211yescharacteristic
73C2×#107×C79C2211yescharacteristic
74C2×#106×C79C2211yescharacteristic
75C2×#106×C79C2211yescharacteristic
76C2×C4×C8×C79C2211yescharacteristic
77C22×Dic158—21no—
78C22×Dic158—21no—
79C22×Dic158D411yescharacteristic
80C22×Dic158C2311yescharacteristic
81C22×D316C2311yescharacteristic
82C22×C4×D79—21no—
83C22×C4×D79—21no—
84C22×C4×D79—21no—
85C2×#11929613Q818yescomplemented
86C2×#11929613C2314yes—
87C22×C79⋊C8C2311yescharacteristic
88C22×C79⋊C8C2311yescharacteristic
89#14579160—28no—
90#14579160—22no—
91#14579160—22no—
92#14579160C2314yes—
93#14579160C2314yes—
94#14579152—22no—
95#14579152—22no—
96#14579152C2314yes—
97#14579152C2314yes—
98#14579151—28no—
99#14579151—28no—
100#14579141—28no—
101#14579139—28no—
102#14579139—28no—
103C4×Dic158—22no—
104C4×Dic158D414yes—
105C4×Dic158C2314yes—
106C4×Dic158C2314yes—
107#14579126—28no—
108#14579126—22no—
109#14579126—22no—
110#14579126C2314yes—
111#14579126C2314yes—
112C4×D316—22no—
113C4×D316C2314yes—
114#14579123—22no—
115#14579123—22no—
116#14579123C2314yes—
117#14579123C2314yes—
118C2×C4⋊Dic79—21no—
119C2×C4⋊Dic79—21no—
120C2×C4⋊Dic79D411yescharacteristic
121C2×C4⋊Dic79C2311yescharacteristic
122C2×C4⋊Dic79C2311yescharacteristic
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⋊C4D411yescharacteristic
131C2×Dic79⋊C4D411yescharacteristic
132C4⋊C4×D79—28no—
133C2×(C2×D79)⋊C4—21no—
134C2×(C2×D79)⋊C4—21no—
135C2×(C2×D79)⋊C4—21no—
136C2×C4×Dic79—21no—
137C2×C4×Dic79—21no—
138C2×C4×Dic79—21no—
139C2×C4×Dic79C2311yescharacteristic
140C2×C4×Dic79C2311yescharacteristic
141#14579094C2314yes—
142#14579094C2314yes—
143#14579093C2314yes—
144#14579092C2314yes—
145#14579092C2314yes—
146C4⋊(C79⋊C8)C2314yes—
147Dic79⋊C8C2314yes—
148Dic79⋊C8C2314yes—
149#14579086C2314yes—
150#14579084C2314yes—
151#14579084C2314yes—
152#14579083C2314yes—
153#14579081C2314yes—
154#14579081C2314yes—
155C8×Dic79C2314yes—
156C8×Dic79C2314yes—
157C22×C8×C79C2311yescharacteristic
158C22×C8×C79C2311yescharacteristic
159#125×C79—22no—
160#125×C79—22no—
161#125×C79C2314yes—
162#125×C79C2314yes—
163C2×C4⋊C4×C79—21no—
164C2×C4⋊C4×C79—21no—
165C2×C4⋊C4×C79—21no—
166C2×C4⋊C4×C79—21no—
167C2×C4⋊C4×C79C2311yescharacteristic
168C2×C4⋊C4×C79C2311yescharacteristic
169C2×C4⋊C4×C79C2311yescharacteristic
170C2×C4⋊C4×C79C2311yescharacteristic
171C2×C42×C79C2311yescharacteristic
172#107×C79C2314yes—
173#107×C79C2314yes—
174#106×C79C2314yes—
175#106×C79C2314yes—
176C4×C8×C79C2314yes—
177C23×D79—21no—
178C2×Dic158—24no—
179C2×Dic158—24no—
180C2×Dic158—24no—
181C2×Dic158—21no—
182C2×Dic158—22no—
183C2×Dic158—44no—
184C2×Dic158—82no—
185C2×Dic158C2×D414yes—
186C2×Dic158C2×Q814yes—
187C2×Dic158C2412yes—
188C2×D316—21no—
189C2×D316—22no—
190C2×D316C2×Q814yes—
191C2×D316C2412yes—
192C22×Dic79—21no—
193C22×Dic79—21no—
194C22×Dic79—21no—
195C22×Dic79C2×D411yescharacteristic
196C22×Dic79C2×D411yescharacteristic
197C22×Dic79C2×D411yescharacteristic
198C22×Dic79C2×D411yescharacteristic
199C2×C4×D79—24no—
200C2×C4×D79—24no—
201C2×C4×D79—24no—
202C2×C4×D79—44no—
203C2×C4×D79—82no—
204C2×C4×D79—82no—
205#11929613C2×Q8116yescomplemented
206C2×C79⋊C8—22no—
207C2×C79⋊C8—22no—
208C2×C79⋊C8C2412yes—
209C2×C79⋊C8C2412yes—
210C4⋊Dic79—24no—
211C4⋊Dic79—24no—
212C4⋊Dic79—21no—
213C4⋊Dic79—21no—
214C4⋊Dic79C2×D414yes—
215C4⋊Dic79C2412yes—
216C4⋊Dic79C2412yes—
217Dic79⋊C4—24no—
218Dic79⋊C4—24no—
219Dic79⋊C4—24no—
220Dic79⋊C4—24no—
221Dic79⋊C4—24no—
222Dic79⋊C4—24no—
223Dic79⋊C4—24no—
224Dic79⋊C4C2×D414yes—
225Dic79⋊C4C2×D414yes—
226(C2×D79)⋊C4—24no—
227(C2×D79)⋊C4—24no—
228(C2×D79)⋊C4—24no—
229C4×Dic79—24no—
230C4×Dic79—24no—
231C4×Dic79—24no—
232C4×Dic79C2×D412yes—
233C4×Dic79C2×D412yes—
234C4×Dic79C2412yes—
235C4×Dic79C2412yes—
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×C79C2×Q814yes—
245C2×C8×C79C2412yes—
246C2×C8×C79C2412yes—
247C4⋊C4×C79—24no—
248C4⋊C4×C79—24no—
249C4⋊C4×C79—24no—
250C4⋊C4×C79—24no—
251C4⋊C4×C79—21no—
252C4⋊C4×C79—21no—
253C4⋊C4×C79—21no—
254C4⋊C4×C79—21no—
255C4⋊C4×C79C2412yes—
256C4⋊C4×C79C2412yes—
257C4⋊C4×C79C2412yes—
258C4⋊C4×C79C2412yes—
259C42×C79C2×D412yes—
260C42×C79C2412yes—
261C23×C79C22×D411yescharacteristic
262C22×D79—24no—
263C22×D79—22no—
264C22×D79—42no—
265C22×D79—42no—
266C2×C4×C79—22no—
267C2×C4×C79—22no—
268C2×C4×C79—22no—
269C2×C4×C79—22no—
270C2×C4×C79—22no—
271C2×C4×C79—22no—
272C2×C4×C79—42no—
273C2×C4×C79—42no—
274C2×C4×C79—42no—
275C2×C4×C79—42no—
276C2×C4×C79C22×D412yes—
277C2×C4×C79C22×D412yes—
278C2×C4×C79C22×D411yescharacteristic
279C2×C4×C79C22×Q812yes—
280C2×C4×C792−1+412yes—
281C2×C4×C79C2511yescharacteristic
282C2×Dic79—24no—
283C2×Dic79—22no—
284C2×Dic79—22no—
285C2×Dic79—22no—
286C2×Dic79—22no—
287C2×Dic79—22no—
288C2×Dic79—22no—
289C2×Dic79—42no—
290C2×Dic79—42no—
291C2×Dic79#13514yes—
292C2×Dic79C22×D412yes—
293C2×Dic79C22×D412yes—
294C2×Dic79C22×D412yes—
295C2×Dic79C22×D412yes—
296D316—24no—
297D316—22no—
298D316C22×Q814yes—
299C4×D79—48no—
300C4×D79—84no—
301C4×D79—84no—
302Dic158—24no—
303Dic158—22no—
304Dic158—28no—
305Dic158—48no—
306Dic158—84no—
307Dic158C22×Q814yes—
308C8×C79—22no—
309C8×C79C22×Q814yes—
310C79⋊C8—22no—
311C79⋊C8—22no—
312C22×C79D4×Q812yes—
313C22×C79C2×#13512yes—
314C22×C79#57712yes—
315C22×C79C23×D411yescharacteristic
316C2×D79—24no—
317C2×D79—48no—
318C2×D79—42no—
319C2×D79—42no—
320C4×C79—22no—
321C4×C79—22no—
322C4×C79—42no—
323C4×C79—42no—
324C4×C79—42no—
325C4×C79—42no—
326C4×C79D4×Q812yes—
327C4×C79C23×Q811yescharacteristic
328C4×C79C2×2−1+411yescharacteristic
329Dic79—24no—
330Dic79—22no—
331Dic79—22no—
332Dic79—22no—
333Dic79—42no—
334Dic79—42no—
335Dic79C2×#13514yes—
336C2×#3381—791nomaximal, Sylow
337C2×C79#338114yescomplemented
338C2×C79C2×D4×Q811yescharacteristic
339C2×C79C22×#13511yescharacteristic
340C2×C79C2×#57711yescharacteristic
341D79—44no—
342C2×#557—791no—
343C2×#554—791no—
344#3381—7916no—
345C2×#499—791no—
346C2×#499D7911yescharacteristic, complemented
347C2×#498—791no—
348C2×#479—791no—
349C2×#479—791no—
350C2×#477—791no—
351C2×#478—791no—
352C2×#478—791no—
353C2×#474—791no—
354C2×C8×Q8—791no—
355C2×C4×SD16—791no—
356C2×C4×SD16—791no—
357C2×C4×SD16—791no—
358C79C2×#338111yescharacteristic, complemented, Sylow
359C22×SD16—791no—
360#557—798no—
361#557—1584no—
362#554—798no—
363#554—1584no—
364C2×C4⋊Q8—791no—
365C2×C4⋊Q8—791no—
366C2×C4⋊Q8—1581no—
367C2×#125—791no—
368C2×#125—791no—
369C2×#125—1581no—
370C2×#125—1581no—
371C2×#125C2×D7911yescharacteristic
372C2×#125C2×D7911yescharacteristic
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×D4—791no—
384C22×C4⋊C4—1581no—
385#499—798no—
386#499C2×D7918yescomplemented
387#498—798no—
388#479—798no—
389#479—798no—
390#478—798no—
391#478—798no—
392#477—798no—
393#474—798no—
394C8×Q8—798no—
395C4×SD16—798no—
396C4×SD16—798no—
397C4×SD16—798no—
398C2×#107—791no—
399C2×#107—791no—
400C2×#107C2×D7911yescharacteristic
401C2×#107C2×D7911yescharacteristic
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⋊C8—791no—
410C2×#103—791no—
411C2×#103—791no—
412C2×#103—791no—
413C2×#102—791no—
414C2×#102—791no—
415C2×#102—791no—
416C2×C4×C8—791no—
417C2×C4×C8—791no—
418C2×C4×C8C2×D7911yescharacteristic
419C22×Q8—791no—
420C22×Q8—791no—
421C22×Q8—1581no—
422C22×Q8—1581no—
423C22×D4—791no—
424C23×C4—1581no—
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—794no—
434C4⋊Q8—794no—
435C4⋊Q8—1582no—
436C4⋊Q8—1582no—
437C4⋊Q8—1588no—
438#125—22no—
439#125—22no—
440#125—794no—
441#125—794no—
442#125—1582no—
443#125—1582no—
444#125—1588no—
445#125—1588no—
446#125C22×D7914yes—
447#125C22×D7914yes—
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—794no—
461C4×D4—794no—
462C4×D4—794no—
463C4×D4—1582no—
464C4×D4—1582no—
465C4×D4—1582no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—791no—
471C2×C4⋊C4—791no—
472C2×C4⋊C4—791no—
473C2×C4⋊C4—791no—
474C2×C4⋊C4—791no—
475C2×C4⋊C4—1588no—
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⋊C4C22×D7911yescharacteristic
486C2×C4⋊C4C22×D7911yescharacteristic
487C2×C4⋊C4C22×D7911yescharacteristic
488C2×C4⋊C4C22×D7911yescharacteristic
489C2×C22⋊C4—1581no—
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#107C22×D7914yes—
501#107C22×D7914yes—
502#106—794no—
503#106—794no—
504#106—794no—
505#106C22×D7914yes—
506#106C22×D7914yes—
507C4⋊C8—794no—
508C4⋊C8—794no—
509C4⋊C8—794no—
510#103—794no—
511#103—794no—
512#103—794no—
513#102—794no—
514#102—794no—
515#102—794no—
516C4×C8—794no—
517C4×C8—794no—
518C4×C8C22×D7914yes—
519C24—1581no—
520C2×Q8—3164no—
521C2×Q8—794no—
522C2×Q8—794no—
523C2×Q8—792no—
524C2×Q8—6322no—
525C2×Q8—1584no—
526C2×Q8—1584no—
527C2×Q8—1584no—
528C2×Q8—1582no—
529C2×Q8—1581no—
530C2×D4—794no—
531C2×D4—792no—
532C2×D4—1582no—
533C2×D4—1581no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—3164no—
539C22×C4—791no—
540C22×C4—791no—
541C22×C4—791no—
542C22×C4—791no—
543C22×C4—6322no—
544C22×C4—6322no—
545C22×C4—1584no—
546C22×C4—1584no—
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—792no—
557C2×C8—792no—
558C2×C8—1582no—
559C2×C8—1582no—
560C2×C8Q8×D7914yes—
561C2×C8C23×D7912yes—
562C2×C8C23×D7912yes—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—794no—
572C4⋊C4—794no—
573C4⋊C4—794no—
574C4⋊C4—792no—
575C4⋊C4—792no—
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⋊C4C23×D7912yes—
588C4⋊C4C23×D7912yes—
589C4⋊C4C23×D7912yes—
590C4⋊C4C23×D7912yes—
591C22⋊C4—1584no—
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—3162no—
604C23—3162no—
605C23—1584no—
606C23—1582no—
607C23C2×D4×D7911yescharacteristic
608Q8—3168no—
609Q8—794no—
610Q8—6324no—
611Q8—1588no—
612Q8—1582no—
613Q8—1584no—
614D4—794no—
615D4—1582no—
616D4—1584no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—3168no—
628C2×C4—3162no—
629C2×C4—3162no—
630C2×C4—794no—
631C2×C4—792no—
632C2×C4—792no—
633C2×C4—792no—
634C2×C4—792no—
635C2×C4—6324no—
636C2×C4—6324no—
637C2×C4—1582no—
638C2×C4—1582no—
639C2×C4—1584no—
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#1457920912yes—
649C2×C4C24×D7911yescharacteristic
650C8—22no—
651C8—1582no—
652C8—1582no—
653C8C2×Q8×D7914yes—
654C22—3168no—
655C22—3162no—
656C22—3162no—
657C22—1584no—
658C22#1909922812yes—
659C22#135×D7912yes—
660C22#1909937012yes—
661C22C22×D4×D7911yescharacteristic
662C4—22no—
663C4—22no—
664C4—42no—
665C4—42no—
666C4—42no—
667C4—42no—
668C4—3162no—
669C4—3162no—
670C4—794no—
671C4—1582no—
672C4—1584no—
673C4—1582no—
674C4—1582no—
675C4#1909922812yes—
676C4C22×Q8×D7911yescharacteristic
677C4C2×#1457920911yescharacteristic
678C2—3164no—
679C2#2377627214yesdirect product factor
680C2C2×#1909922811yescharacteristic
681C2C2×#135×D7911yescharacteristic
682C2C2×#1909937011yescharacteristic
subgroupG/H
centerC23C2×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC2×#499×C79C2
socleC23×C79C22×D4
prime radicalC22×D316C23
hypercenterC2×#499D79
hypocenterC79C2×#3381
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#499

Complements

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

NH ≅ G/Ntype
1. C2×#19099290C2semidirect
3. #23776272C2direct (N × H)
4. C2×#19098963C2semidirect
5. C2×#19098960C2semidirect
6. C2×#19098869C2semidirect
7. C2×#19098867C2semidirect
8. C2×#19098857C2semidirect
12. C2×C8×Dic158C2semidirect
16. C2×#499×C79C2semidirect
19. #19099290C22semidirect
41. #19098963C22semidirect
42. #19098960C22semidirect
43. #19098869C22semidirect
44. #19098867C22semidirect
47. #19098857C22semidirect
49. C8×Dic158C22semidirect
71. #499×C79C22semidirect
85. C2×#11929613Q8semidirect
205. #11929613C2×Q8semidirect
337. C2×C79#3381semidirect
346. C2×#499D79semidirect
358. C79C2×#3381semidirect
386. #499C2×D79semidirect
679. C2#23776272direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#190992902
C2×#190992692
#237762722
C2×#190989632
C2×#190989602
C2×#190988692
C2×#190988672
C2×#190988572
C2×#190988662
C2×#190988602
C2×#190988422
C2×C8×Dic1582
C2×C4×#119296132
C2×#190986502
C2×#499×C792
C2×#338179