Finite Group Databasebeta

← C2×#23776247 #35168071

Subgroups — C2×#23776247 #35168071

Order 20224.

1810 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099292C211yesmaximal, characteristic, complemented
2C2×#19099285C211yesmaximal, characteristic
3#23776247C2116yesmaximal, direct product factor
4C2×#19098930C211yesmaximal, characteristic, complemented
5C2×#19098923C211yesmaximal, characteristic
6C2×#19098919C211yesmaximal, characteristic
7C2×#19098873C211yesmaximal, characteristic, complemented
8C2×#19098858C211yesmaximal, characteristic, complemented
9C2×#19098862C211yesmaximal, characteristic
10C2×#19098787C211yesmaximal, characteristic
11C2×#19098785C211yesmaximal, characteristic
12C2×#19098771C211yesmaximal, characteristic, complemented
13C2×#19098691C211yesmaximal, characteristic, complemented
14C2×#19098666C211yesmaximal, characteristic
15C2×#19098655C211yesmaximal, characteristic, complemented
16C2×#441×C79C211yesmaximal, characteristic, complemented
17C22×#11929614C2211yescharacteristic
18C22×#11929611C2211yescharacteristic
19#19099292—24no—
20#19099292C2218yescomplemented
21#19099285—24no—
22#19099285C2218yes—
23C2×#14579161—21no—
24C2×#14579161C2211yescharacteristic
25C2×#14579159C2211yescharacteristic
26C2×#14579156—21no—
27C2×#14579155—21no—
28C2×#14579152—21no—
29C2×#14579152—21no—
30C2×#14579152C2211yescharacteristic
31C2×#14579152C2211yescharacteristic
32C2×#14579150C2211yescharacteristic
33C2×#14579149C2211yescharacteristic
34C2×#14579139—21no—
35C2×Q8×Dic79C2211yescharacteristic
36C2×Q8×Dic79C2211yescharacteristic
37C2×C4×Dic158—21no—
38C2×C4×Dic158C2211yescharacteristic
39C2×#14579126C2211yescharacteristic
40C2×#14579123C2211yescharacteristic
41C2×#14579118—21no—
42#19098930C2218yescomplemented
43#19098923C2218yes—
44#19098919C2218yes—
45#19098873C2218yescomplemented
46#19098862C2218yes—
47#19098858C2218yescomplemented
48#19098787C2218yes—
49#19098785C2218yes—
50#19098771C2218yescomplemented
51#19098691C2218yescomplemented
52#19098666C2218yes—
53#19098655C2218yescomplemented
54C2×#14579094C2211yescharacteristic
55C2×#14579094C2211yescharacteristic
56C2×C4⋊(C79⋊C8)C2211yescharacteristic
57C2×Dic79⋊C8C2211yescharacteristic
58C2×Dic79⋊C8C2211yescharacteristic
59C2×#14579086C2211yescharacteristic
60C2×#14579086C2211yescharacteristic
61C2×#14579085C2211yescharacteristic
62C2×#14579085C2211yescharacteristic
63C2×#14579084C2211yescharacteristic
64C2×#14579083C2211yescharacteristic
65C2×#14579083C2211yescharacteristic
66C2×#14579081C2211yescharacteristic
67C2×#14579071C2211yescharacteristic
68C2×C8×Dic79C2211yescharacteristic
69C22×Q16×C79C2211yescharacteristic
70C2×C4×Q8×C79C2211yescharacteristic
71C2×C4×Q8×C79C2211yescharacteristic
72#441×C79C2218yescomplemented
73C2×#106×C79C2211yescharacteristic
74C2×#103×C79C2211yescharacteristic
75C2×#103×C79C2211yescharacteristic
76C2×#97×C79C2211yescharacteristic
77C22×Dic158—21no—
78C22×Dic158D411yescharacteristic
79C22×Dic158C2311yescharacteristic
80C22×D316C2311yescharacteristic
81C22×C4×D79—21no—
82C2×#11929614—24no—
83C2×#11929614C2314yes—
84C2×#11929611—24no—
85C2×#11929611C2314yes—
86C22×C79⋊C8C2311yescharacteristic
87C22×C79⋊C8C2311yescharacteristic
88#14579161—22no—
89#14579161—28no—
90#14579161C2314yes—
91#14579159—22no—
92#14579159C2314yes—
93#14579156—28no—
94#14579155—28no—
95#14579152—28no—
96#14579152—28no—
97#14579152—22no—
98#14579152—22no—
99#14579152C2314yes—
100#14579152C2314yes—
101#14579150—22no—
102#14579150C2314yes—
103#14579149—22no—
104#14579149C2314yes—
105#14579139—28no—
106Q8×Dic79—22no—
107Q8×Dic79—22no—
108Q8×Dic79C2314yes—
109Q8×Dic79C2314yes—
110C4×Dic158—28no—
111C4×Dic158D414yes—
112C4×Dic158C2314yes—
113#14579126—22no—
114#14579126C2314yes—
115#14579123—22no—
116#14579123C2314yes—
117#14579118—28no—
118C2×C4⋊Dic79—21no—
119C2×C4⋊Dic79—21no—
120C2×C4⋊Dic79—21no—
121C2×C4⋊Dic79—21no—
122C2×C4⋊Dic79—21no—
123C2×C4⋊Dic79D411yescharacteristic
124C2×C4⋊Dic79C2311yescharacteristic
125C2×C4⋊Dic79C2311yescharacteristic
126C2×Dic79⋊C4—21no—
127C2×Dic79⋊C4—21no—
128C2×Dic79⋊C4—21no—
129C2×Dic79⋊C4—21no—
130C2×Dic79⋊C4—21no—
131C2×Dic79⋊C4D411yescharacteristic
132C2×Dic79⋊C4D411yescharacteristic
133C2×(C2×D79)⋊C4—21no—
134C2×(C2×D79)⋊C4—21no—
135C2×(C2×D79)⋊C4—21no—
136C2×(C2×D79)⋊C4—21no—
137C2×(C2×D79)⋊C4—21no—
138C2×C4×Dic79—21no—
139C2×C4×Dic79—21no—
140C2×C4×Dic79—21no—
141C2×C4×Dic79C2311yescharacteristic
142C2×C4×Dic79C2311yescharacteristic
143#14579094C2314yes—
144#14579094C2314yes—
145C4⋊(C79⋊C8)C2314yes—
146Dic79⋊C8C2314yes—
147Dic79⋊C8C2314yes—
148#14579086C2314yes—
149#14579086C2314yes—
150#14579085C2314yes—
151#14579085C2314yes—
152#14579084C2314yes—
153#14579083C2314yes—
154#14579083C2314yes—
155#14579081C2314yes—
156#14579071C2314yes—
157C8×Dic79C2314yes—
158C22×Q8×C79C2311yescharacteristic
159C22×Q8×C79C2311yescharacteristic
160C2×Q16×C79—24no—
161C2×Q16×C79C2314yes—
162C22×C8×C79C2311yescharacteristic
163C22×C8×C79C2311yescharacteristic
164C4×Q8×C79—22no—
165C4×Q8×C79—22no—
166C4×Q8×C79C2314yes—
167C4×Q8×C79C2314yes—
168C2×C4⋊C4×C79—21no—
169C2×C4⋊C4×C79—21no—
170C2×C4⋊C4×C79C2311yescharacteristic
171C2×C4⋊C4×C79C2311yescharacteristic
172C2×C42×C79—21no—
173C2×C42×C79—21no—
174C2×C42×C79C2311yescharacteristic
175#106×C79C2314yes—
176#103×C79C2314yes—
177#103×C79C2314yes—
178#97×C79C2314yes—
179C23×D79—21no—
180C2×Dic158—24no—
181C2×Dic158—21no—
182C2×Dic158—22no—
183C2×Dic158—22no—
184C2×Dic158—42no—
185C2×Dic158—44no—
186C2×Dic158C2×D414yes—
187C2×Dic158C2412yes—
188C2×D316—21no—
189C2×D316—22no—
190C2×D316—22no—
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—44no—
201#11929614—28no—
202#11929611—28no—
203C2×C79⋊C8—22no—
204C2×C79⋊C8—22no—
205C2×C79⋊C8C2412yes—
206C2×C79⋊C8C2412yes—
207C4⋊Dic79—24no—
208C4⋊Dic79—24no—
209C4⋊Dic79—24no—
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⋊C4C2×D414yes—
223Dic79⋊C4C2×D414yes—
224(C2×D79)⋊C4—24no—
225(C2×D79)⋊C4—24no—
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—
236C2×Q8×C79—21no—
237C2×Q8×C79—21no—
238C2×Q8×C79—22no—
239C2×Q8×C79—22no—
240C2×Q8×C79—22no—
241C2×Q8×C79#4114yes—
242C2×Q8×C79C2412yes—
243C2×Q8×C79C2412yes—
244C22×C4×C79—21no—
245C22×C4×C79—21no—
246C22×C4×C79—21no—
247C22×C4×C79—21no—
248C22×C4×C79C2×D411yescharacteristic
249C22×C4×C79C2×D411yescharacteristic
250C22×C4×C79C2411yescharacteristic
251Q16×C79—28no—
252C2×C8×C79—22no—
253C2×C8×C79—22no—
254C2×C8×C79C2412yes—
255C2×C8×C79C2412yes—
256C4⋊C4×C79—24no—
257C4⋊C4×C79—24no—
258C4⋊C4×C79—21no—
259C4⋊C4×C79—21no—
260C4⋊C4×C79C2412yes—
261C4⋊C4×C79C2412yes—
262C42×C79—24no—
263C42×C79—24no—
264C42×C79C2×D412yes—
265C42×C79C2412yes—
266C23×C79C22×D411yescharacteristic
267C22×D79—22no—
268C22×D79—42no—
269C22×D79—42no—
270C22×D79—42no—
271Q8×C79—24no—
272Q8×C79—22no—
273Q8×C79—22no—
274Q8×C79—22no—
275Q8×C79—42no—
276Q8×C79C2×#4114yes—
277C2×C4×C79—24no—
278C2×C4×C79—22no—
279C2×C4×C79—22no—
280C2×C4×C79—22no—
281C2×C4×C79—22no—
282C2×C4×C79—22no—
283C2×C4×C79—22no—
284C2×C4×C79—42no—
285C2×C4×C79—42no—
286C2×C4×C79—42no—
287C2×C4×C79C22×D412yes—
288C2×C4×C79C22×D412yes—
289C2×C4×C79C22×D411yescharacteristic
290C2×C4×C79C2×#4112yes—
291C2×C4×C792−1+412yes—
292C2×C4×C79C2511yescharacteristic
293C2×Dic79—22no—
294C2×Dic79—22no—
295C2×Dic79—22no—
296C2×Dic79—22no—
297C2×Dic79—22no—
298C2×Dic79—22no—
299C2×Dic79—22no—
300C2×Dic79—42no—
301C2×Dic79—42no—
302C2×Dic79—42no—
303C2×Dic79C22×D412yes—
304C2×Dic79C22×D412yes—
305C2×Dic79C22×D412yes—
306C2×Dic79C22×D412yes—
307D316—22no—
308D316—22no—
309D316—42no—
310C4×D79—48no—
311Dic158—22no—
312Dic158—22no—
313Dic158—44no—
314Dic158—48no—
315Dic158—42no—
316C8×C79—22no—
317C8×C79—22no—
318C79⋊C8—22no—
319C79⋊C8—22no—
320C22×C79#54812yes—
321C22×C79#57512yes—
322C22×C79#57812yes—
323C22×C79C23×D411yescharacteristic
324C2×D79—42no—
325C2×D79—42no—
326C2×D79—42no—
327C2×D79—84no—
328C4×C79—24no—
329C4×C79—22no—
330C4×C79—22no—
331C4×C79—42no—
332C4×C79—42no—
333C4×C79—42no—
334C4×C79#54812yes—
335C4×C79C22×#4111yescharacteristic
336C4×C79C2×2−1+411yescharacteristic
337Dic79—22no—
338Dic79—22no—
339Dic79—22no—
340Dic79—22no—
341Dic79—42no—
342Dic79—42no—
343Dic79—42no—
344C2×#3377—791nomaximal, Sylow
345C2×C79#337714yescomplemented
346C2×C79C2×#54811yescharacteristic
347C2×C79C2×#57511yescharacteristic
348C2×C79C2×#57811yescharacteristic
349D79—82no—
350C2×#557—791no—
351C2×#556—791no—
352#3377—7916no—
353C2×#491—791no—
354C2×#489—791no—
355C2×#488—791no—
356C2×#479—791no—
357C2×#477—791no—
358C2×#478—791no—
359C2×#464—791no—
360C2×#464—791no—
361C2×#462—791no—
362C2×#446—791no—
363C2×#441D7911yescharacteristic, complemented
364C2×#440—791no—
365C2×C4×Q16—791no—
366C79C2×#337711yescharacteristic, complemented, Sylow
367C22×Q16—791no—
368C22×Q16C2×D7911yescharacteristic
369C22×SD16—791no—
370#557—798no—
371#557—1584no—
372#556—798no—
373#556—1584no—
374C2×C4⋊Q8—791no—
375C2×C4⋊Q8—791no—
376C2×C4⋊Q8—1581no—
377C2×#126—1581no—
378C2×#126—1581no—
379C2×#125—791no—
380C2×#125—791no—
381C2×#125—1581no—
382C2×#125—1581no—
383C2×#124—791no—
384C2×#124—791no—
385C2×C22⋊Q8—1581no—
386C2×C4×Q8—791no—
387C2×C4×Q8—791no—
388C2×C4×Q8—791no—
389C2×C4×Q8—791no—
390C2×C4×Q8—1581no—
391C2×C4×Q8C2×D7911yescharacteristic
392C2×C4×Q8C2×D7911yescharacteristic
393C2×C4×D4—791no—
394C2×#117—1581no—
395#491—798no—
396#489—798no—
397#488—798no—
398#479—798no—
399#478—798no—
400#477—798no—
401#464—798no—
402#464—798no—
403#462—798no—
404#446—798no—
405#441C2×D7918yescomplemented
406#440—798no—
407C4×Q16—798no—
408C2×#107—791no—
409C2×#107—791no—
410C2×#106C2×D7911yescharacteristic
411C2×C4⋊C8—791no—
412C2×C4⋊C8—791no—
413C2×C4⋊C8—791no—
414C2×#103—791no—
415C2×#103—791no—
416C2×#103—791no—
417C2×#103—791no—
418C2×#103—791no—
419C2×#103C2×D7911yescharacteristic
420C2×#103C2×D7911yescharacteristic
421C2×#102—791no—
422C2×#102—791no—
423C2×#102—791no—
424C2×#97—791no—
425C2×#97C2×D7911yescharacteristic
426C2×C4×C8—791no—
427C22×Q8—791no—
428C22×Q8—791no—
429C22×Q8—1581no—
430C22×Q8C22×D7911yescharacteristic
431C22×Q8C22×D7911yescharacteristic
432C22×D4—791no—
433C23×C4—1581no—
434C2×Q16—24no—
435C2×Q16—794no—
436C2×Q16—1584no—
437C2×Q16C22×D7914yes—
438C2×SD16—794no—
439C2×SD16—1584no—
440C22×C8—791no—
441C22×C8—791no—
442C22×C8C22×D7911yescharacteristic
443C22×C8C22×D7911yescharacteristic
444C4⋊Q8—794no—
445C4⋊Q8—794no—
446C4⋊Q8—1588no—
447C4⋊Q8—1582no—
448C4⋊Q8—1582no—
449#126—1588no—
450#126—1588no—
451#125—794no—
452#125—794no—
453#125—1582no—
454#125—1582no—
455#125—1588no—
456#125—1588no—
457#124—794no—
458#124—794no—
459#124—1582no—
460#124—1582no—
461C22⋊Q8—1588no—
462C4×Q8—22no—
463C4×Q8—22no—
464C4×Q8—794no—
465C4×Q8—794no—
466C4×Q8—794no—
467C4×Q8—794no—
468C4×Q8—794no—
469C4×Q8—1588no—
470C4×Q8—1582no—
471C4×Q8—1582no—
472C4×Q8—1582no—
473C4×Q8C22×D7914yes—
474C4×Q8C22×D7914yes—
475C4×D4—794no—
476C4×D4—1582no—
477#117—1588no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—791no—
481C2×C4⋊C4—791no—
482C2×C4⋊C4—791no—
483C2×C4⋊C4—791no—
484C2×C4⋊C4—791no—
485C2×C4⋊C4—1581no—
486C2×C4⋊C4—1581no—
487C2×C4⋊C4—1581no—
488C2×C4⋊C4—1581no—
489C2×C4⋊C4—1581no—
490C2×C4⋊C4—1581no—
491C2×C4⋊C4—1581no—
492C2×C4⋊C4—1581no—
493C2×C4⋊C4—1581no—
494C2×C4⋊C4—1581no—
495C2×C4⋊C4C22×D7911yescharacteristic
496C2×C4⋊C4C22×D7911yescharacteristic
497C2×C22⋊C4—1581no—
498C2×C22⋊C4—1581no—
499C2×C22⋊C4—1581no—
500C2×C22⋊C4—1581no—
501C2×C22⋊C4—1581no—
502C2×C42—21no—
503C2×C42—21no—
504C2×C42—791no—
505C2×C42—791no—
506C2×C42—1581no—
507C2×C42—1581no—
508C2×C42—1581no—
509C2×C42C22×D7911yescharacteristic
510#107—794no—
511#107—794no—
512#106C22×D7914yes—
513C4⋊C8—794no—
514C4⋊C8—794no—
515C4⋊C8—794no—
516#103—794no—
517#103—794no—
518#103—794no—
519#103—794no—
520#103—794no—
521#103C22×D7914yes—
522#103C22×D7914yes—
523#102—794no—
524#102—794no—
525#102—794no—
526#97—794no—
527#97C22×D7914yes—
528C4×C8—794no—
529C24—1581no—
530C2×Q8—22no—
531C2×Q8—21no—
532C2×Q8—21no—
533C2×Q8—22no—
534C2×Q8—22no—
535C2×Q8—3164no—
536C2×Q8—3162no—
537C2×Q8—794no—
538C2×Q8—792no—
539C2×Q8—1582no—
540C2×Q8—1582no—
541C2×Q8—1581no—
542C2×Q8—1584no—
543C2×Q8#1192962414yes—
544C2×Q8C23×D7912yes—
545C2×Q8C23×D7912yes—
546C2×D4—792no—
547C2×D4—1582no—
548C2×D4—1582no—
549C2×D4—1581no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—3164no—
555C22×C4—791no—
556C22×C4—791no—
557C22×C4—791no—
558C22×C4—791no—
559C22×C4—1584no—
560C22×C4—1581no—
561C22×C4—1581no—
562C22×C4—1581no—
563C22×C4D4×D7911yescharacteristic
564C22×C4D4×D7911yescharacteristic
565C22×C4C23×D7911yescharacteristic
566Q16—28no—
567Q16—1588no—
568SD16—1588no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—792no—
572C2×C8—792no—
573C2×C8—1582no—
574C2×C8—1582no—
575C2×C8C23×D7912yes—
576C2×C8C23×D7912yes—
577C4⋊C4—24no—
578C4⋊C4—24no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—794no—
582C4⋊C4—794no—
583C4⋊C4—794no—
584C4⋊C4—792no—
585C4⋊C4—792no—
586C4⋊C4—1584no—
587C4⋊C4—1584no—
588C4⋊C4—1584no—
589C4⋊C4—1584no—
590C4⋊C4—1584no—
591C4⋊C4—1584no—
592C4⋊C4—1584no—
593C4⋊C4—1584no—
594C4⋊C4—1584no—
595C4⋊C4—1581no—
596C4⋊C4—1581no—
597C4⋊C4—1584no—
598C4⋊C4C23×D7912yes—
599C4⋊C4C23×D7912yes—
600C22⋊C4—1584no—
601C22⋊C4—1584no—
602C22⋊C4—1584no—
603C22⋊C4—1584no—
604C22⋊C4—1584no—
605C42—24no—
606C42—24no—
607C42—792no—
608C42—792no—
609C42—792no—
610C42—792no—
611C42—1584no—
612C42—1584no—
613C42—1584no—
614C42D4×D7912yes—
615C42C23×D7912yes—
616C23—3162no—
617C23—3162no—
618C23—3162no—
619C23—1582no—
620C23C2×D4×D7911yescharacteristic
621Q8—22no—
622Q8—24no—
623Q8—22no—
624Q8—22no—
625Q8—42no—
626Q8—3168no—
627Q8—3164no—
628Q8—3162no—
629Q8—1582no—
630Q8—1582no—
631Q8C2×#1192962414yes—
632D4—3162no—
633D4—1582no—
634D4—1582no—
635C2×C4—24no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—3168no—
646C2×C4—3162no—
647C2×C4—3162no—
648C2×C4—3162no—
649C2×C4—792no—
650C2×C4—792no—
651C2×C4—792no—
652C2×C4—792no—
653C2×C4—1582no—
654C2×C4—1582no—
655C2×C4—1582no—
656C2×C4—1582no—
657C2×C4—1582no—
658C2×C4—1582no—
659C2×C4—1582no—
660C2×C4C2×D4×D7912yes—
661C2×C4C2×D4×D7912yes—
662C2×C4C2×D4×D7911yescharacteristic
663C2×C4C2×#1192962412yes—
664C2×C4#1457920812yes—
665C2×C4C24×D7911yescharacteristic
666C8—22no—
667C8—22no—
668C8—1582no—
669C8—1582no—
670C22—3162no—
671C22—3162no—
672C22—3162no—
673C22—6324no—
674C22#1909922212yes—
675C22#1909936212yes—
676C22#1909937912yes—
677C22C22×D4×D7911yescharacteristic
678C4—24no—
679C4—22no—
680C4—22no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—3162no—
685C4—3162no—
686C4—3162no—
687C4—1582no—
688C4—1582no—
689C4—1582no—
690C4—1582no—
691C4#1909922212yes—
692C4C22×#1192962411yescharacteristic
693C4C2×#1457920811yescharacteristic
694C2—6322no—
695C2#2377624714yesdirect product factor
696C2C2×#1909922211yescharacteristic
697C2C2×#1909936211yescharacteristic
698C2C2×#1909937911yescharacteristic
subgroupG/H
centerC23C2×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC2×#441×C79C2
socleC23×C79C22×D4
prime radicalC22×D316C23
hypercenterC2×#441D79
hypocenterC79C2×#3377
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#441

Complements

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

NH ≅ G/Ntype
1. C2×#19099292C2semidirect
3. #23776247C2direct (N × H)
4. C2×#19098930C2semidirect
7. C2×#19098873C2semidirect
8. C2×#19098858C2semidirect
12. C2×#19098771C2semidirect
13. C2×#19098691C2semidirect
15. C2×#19098655C2semidirect
16. C2×#441×C79C2semidirect
20. #19099292C22semidirect
42. #19098930C22semidirect
45. #19098873C22semidirect
47. #19098858C22semidirect
50. #19098771C22semidirect
51. #19098691C22semidirect
53. #19098655C22semidirect
72. #441×C79C22semidirect
345. C2×C79#3377semidirect
363. C2×#441D79semidirect
366. C79C2×#3377semidirect
405. #441C2×D79semidirect
695. C2#23776247direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#190992922
C2×#190992852
#237762472
C2×#190989302
C2×#190989232
C2×#190989192
C2×#190988732
C2×#190988582
C2×#190988622
C2×#190987872
C2×#190987852
C2×#190987712
C2×#190986912
C2×#190986662
C2×#190986552
C2×#441×C792
C2×#337779