Finite Group Databasebeta

← C2×#22619770 #33953552

Subgroups — C2×#22619770 #33953552

Order 18688.

2018 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989217C211yesmaximal, characteristic
2C2×#17989063C211yesmaximal, characteristic
3#22619770C2116yesmaximal, direct product factor
4C2×#17988897C211yesmaximal, characteristic, complemented
5C2×#17988892C211yesmaximal, characteristic, complemented
6C2×#17988891C211yesmaximal, characteristic, complemented
7C2×#17988882C211yesmaximal, characteristic, complemented
8C2×#17988881C211yesmaximal, characteristic, complemented
9C2×#17988873C211yesmaximal, characteristic, complemented
10C2×#17988870C211yesmaximal, characteristic, complemented
11C2×#17988628C211yesmaximal, characteristic
12C2×#17988622C211yesmaximal, characteristic
13C2×#17988612C211yesmaximal, characteristic
14C2×#17988594C211yesmaximal, characteristic
15C2×#103×D73C211yesmaximal, characteristic
16C2×#479×C73C211yesmaximal, characteristic, complemented
17C22×Q8×D73C2211yescharacteristic
18C22×#11924011C2211yescharacteristic
19C22×C8×D73C2211yescharacteristic
20#17989217—24no—
21#17989217C2218yes—
22C2×#14556591C2211yescharacteristic
23C2×#14556590—21no—
24C2×#14556590C2211yescharacteristic
25C2×#14556582C2211yescharacteristic
26C2×#14556581—21no—
27C2×#14556571—21no—
28C2×#14556569—21no—
29#17989063—24no—
30#17989063C2218yes—
31C2×Q8×Dic73C2211yescharacteristic
32C2×C4×Dic146—21no—
33C2×C4×Dic146C2211yescharacteristic
34C2×#14556556—21no—
35C2×#14556556C2211yescharacteristic
36C2×#14556549—21no—
37C2×#14556549C2211yescharacteristic
38C2×#14556549C2211yescharacteristic
39C2×#14556548—21no—
40C2×#14556548C2211yescharacteristic
41C2×C4⋊C4×D73C2211yescharacteristic
42#17988897C2218yescomplemented
43#17988892C2218yescomplemented
44#17988891C2218yescomplemented
45#17988882C2218yescomplemented
46#17988881C2218yescomplemented
47#17988873C2218yescomplemented
48#17988870C2218yescomplemented
49#17988628C2218yes—
50#17988622C2218yes—
51C2×#14556524C2211yescharacteristic
52C2×#14556524C2211yescharacteristic
53C2×#14556524C2211yescharacteristic
54C2×#14556523C2211yescharacteristic
55C2×#14556523C2211yescharacteristic
56C2×#14556522C2211yescharacteristic
57#17988612C2218yes—
58C2×C4⋊#10596831C2211yescharacteristic
59C2×#14556520C2211yescharacteristic
60C2×#14556520C2211yescharacteristic
61#17988594C2218yes—
62C2×#14556516C2211yescharacteristic
63C2×#14556516C2211yescharacteristic
64C2×#14556515C2211yescharacteristic
65C2×#14556515C2211yescharacteristic
66C2×#14556514C2211yescharacteristic
67C2×#14556514C2211yescharacteristic
68#103×D73C2218yes—
69C2×#125×C73C2211yescharacteristic
70C2×C4×Q8×C73C2211yescharacteristic
71#479×C73C2218yescomplemented
72C2×#107×C73C2211yescharacteristic
73C2×#106×C73C2211yescharacteristic
74C2×C4⋊C8×C73C2211yescharacteristic
75C2×#103×C73C2211yescharacteristic
76C2×#103×C73C2211yescharacteristic
77C22×Dic146—21no—
78C22×Dic146—21no—
79C22×Dic146—21no—
80C22×Dic146C2311yescharacteristic
81C2×Q8×D73—22no—
82C2×Q8×D73—24no—
83C2×Q8×D73Q818yescomplemented
84C2×Q8×D73C2314yes—
85C22×C4×D73—21no—
86C22×C4×D73—21no—
87C22×C4×D73C2311yescharacteristic
88C2×#11924011—24no—
89C2×#11924011C2314yes—
90C22×#10596831C2311yescharacteristic
91C22×#10596831C2311yescharacteristic
92C2×C8×D73—24no—
93C2×C8×D73C2314yes—
94#14556591—22no—
95#14556591C2314yes—
96#14556590—28no—
97#14556590—22no—
98#14556590C2314yes—
99#14556582—22no—
100#14556582C2314yes—
101#14556581—28no—
102#14556571—28no—
103#14556569—28no—
104Q8×Dic73—22no—
105Q8×Dic73C2314yes—
106C4×Dic146—28no—
107C4×Dic146—22no—
108C4×Dic146C2314yes—
109#14556556—28no—
110#14556556—22no—
111#14556556C2314yes—
112#14556549—22no—
113#14556549—22no—
114#14556549—28no—
115#14556549C2314yes—
116#14556549C2314yes—
117#14556548—28no—
118#14556548D414yes—
119#14556548C2314yes—
120C2×C4⋊Dic73—21no—
121C2×C4⋊Dic73—21no—
122C2×C4⋊Dic73—21no—
123C2×C4⋊Dic73C2311yescharacteristic
124C2×C4⋊Dic73C2311yescharacteristic
125C2×C4⋊Dic73C2311yescharacteristic
126C2×#11924007—21no—
127C2×#11924007—21no—
128C2×#11924007—21no—
129C2×#11924007—21no—
130C2×#11924007—21no—
131C2×#11924007D411yescharacteristic
132C2×#11924007D411yescharacteristic
133C4⋊C4×D73—22no—
134C4⋊C4×D73C2314yes—
135C2×#11924005—21no—
136C2×#11924005—21no—
137C2×#11924005D411yescharacteristic
138C2×#11924005D411yescharacteristic
139C2×C4×Dic73—21no—
140C2×C4×Dic73—21no—
141C2×C4×Dic73—21no—
142C2×C4×Dic73—21no—
143C2×C4×Dic73—21no—
144C2×C4×Dic73C2311yescharacteristic
145#14556524C2314yes—
146#14556524C2314yes—
147#14556524C2314yes—
148#14556523C2314yes—
149#14556523C2314yes—
150#14556522C2314yes—
151C4⋊#10596831C2314yes—
152#14556520C2314yes—
153#14556520C2314yes—
154#14556516C2314yes—
155#14556516C2314yes—
156#14556515C2314yes—
157#14556515C2314yes—
158#14556514C2314yes—
159#14556514C2314yes—
160C22×Q8×C73C2311yescharacteristic
161C22×C8×C73C2311yescharacteristic
162C22×C8×C73C2311yescharacteristic
163#125×C73—22no—
164#125×C73C2314yes—
165C4×Q8×C73—22no—
166C4×Q8×C73C2314yes—
167C2×C4⋊C4×C73—21no—
168C2×C4⋊C4×C73—21no—
169C2×C4⋊C4×C73—21no—
170C2×C4⋊C4×C73C2311yescharacteristic
171C2×C4⋊C4×C73C2311yescharacteristic
172C2×C4⋊C4×C73C2311yescharacteristic
173C2×C42×C73—21no—
174C2×C42×C73C2311yescharacteristic
175#107×C73C2314yes—
176#106×C73C2314yes—
177C4⋊C8×C73C2314yes—
178#103×C73C2314yes—
179#103×C73C2314yes—
180C23×D73C2×D411yescharacteristic
181C2×Dic146—21no—
182C2×Dic146—22no—
183C2×Dic146—28no—
184C2×Dic146—24no—
185C2×Dic146—24no—
186C2×Dic146—24no—
187C2×Dic146—82no—
188C2×Dic146—82no—
189C2×Dic146C2×Q814yes—
190C2×Dic146C2412yes—
191Q8×D73—216no—
192Q8×D73—28no—
193Q8×D73C2×Q8116yescomplemented
194C22×Dic73—21no—
195C22×Dic73—21no—
196C22×Dic73—21no—
197C22×Dic73—21no—
198C22×Dic73C2×D411yescharacteristic
199C22×Dic73C2×D411yescharacteristic
200C22×Dic73C2×D411yescharacteristic
201C2×C4×D73—28no—
202C2×C4×D73—24no—
203C2×C4×D73—24no—
204C2×C4×D73—82no—
205C2×C4×D73C2×D412yes—
206C2×C4×D73C2×Q814yes—
207C2×C4×D73#4114yes—
208C2×C4×D73C2412yes—
209#11924011—28no—
210C2×#10596831—22no—
211C2×#10596831—22no—
212C2×#10596831C2412yes—
213C2×#10596831C2412yes—
214C8×D73—28no—
215C4⋊Dic73—21no—
216C4⋊Dic73—24no—
217C4⋊Dic73—21no—
218C4⋊Dic73—21no—
219C4⋊Dic73—24no—
220C4⋊Dic73—24no—
221C4⋊Dic73C2412yes—
222C4⋊Dic73C2412yes—
223C4⋊Dic73C2412yes—
224#11924007—24no—
225#11924007—24no—
226#11924007—24no—
227#11924007—24no—
228#11924007—24no—
229#11924007C2×D414yes—
230#11924007C2×D414yes—
231#11924005—24no—
232#11924005—24no—
233#11924005C2×D414yes—
234#11924005C2×D414yes—
235C4×Dic73—24no—
236C4×Dic73—24no—
237C4×Dic73—24no—
238C4×Dic73—24no—
239C4×Dic73—24no—
240C4×Dic73C2×D412yes—
241C4×Dic73C2412yes—
242C2×Q8×C73—21no—
243C2×Q8×C73—22no—
244C2×Q8×C73C2×Q814yes—
245C2×Q8×C73C2412yes—
246C22×C4×C73—21no—
247C22×C4×C73—21no—
248C22×C4×C73—21no—
249C22×C4×C73—21no—
250C22×C4×C73C2×D411yescharacteristic
251C22×C4×C73C2×D411yescharacteristic
252C22×C4×C73C2411yescharacteristic
253C2×C8×C73—22no—
254C2×C8×C73—22no—
255C2×C8×C73C2412yes—
256C2×C8×C73C2412yes—
257C4⋊C4×C73—24no—
258C4⋊C4×C73—24no—
259C4⋊C4×C73—24no—
260C4⋊C4×C73—21no—
261C4⋊C4×C73—21no—
262C4⋊C4×C73—21no—
263C4⋊C4×C73C2412yes—
264C4⋊C4×C73C2412yes—
265C4⋊C4×C73C2412yes—
266C42×C73—24no—
267C42×C73C2×D412yes—
268C42×C73C2412yes—
269C23×C73C22×D411yescharacteristic
270C22×D73—22no—
271C22×D73—22no—
272C22×D73C22⋊Q814yes—
273C22×D73C22×D412yes—
274Q8×C73—24no—
275Q8×C73—22no—
276Q8×C73C22×Q814yes—
277C2×C4×C73—24no—
278C2×C4×C73—22no—
279C2×C4×C73—22no—
280C2×C4×C73—22no—
281C2×C4×C73—22no—
282C2×C4×C73—22no—
283C2×C4×C73—22no—
284C2×C4×C73—42no—
285C2×C4×C73—42no—
286C2×C4×C73—42no—
287C2×C4×C73C22×D412yes—
288C2×C4×C73C22×D412yes—
289C2×C4×C73C22×D411yescharacteristic
290C2×C4×C73C22×Q812yes—
291C2×C4×C73C2×#4112yes—
292C2×C4×C73C2511yescharacteristic
293C2×Dic73—24no—
294C2×Dic73—22no—
295C2×Dic73—22no—
296C2×Dic73—22no—
297C2×Dic73—22no—
298C2×Dic73—22no—
299C2×Dic73—22no—
300C2×Dic73—42no—
301C2×Dic73—42no—
302C2×Dic73—42no—
303C2×Dic73C22⋊Q814yes—
304C2×Dic73C22×D412yes—
305C2×Dic73C22×D412yes—
306C2×Dic73C22×D412yes—
307C4×D73—216no—
308C4×D73—84no—
309C4×D73C22⋊Q818yes—
310C4×D73C22×Q814yes—
311C4×D73C2×#4114yes—
312Dic146—24no—
313Dic146—22no—
314Dic146—216no—
315Dic146—84no—
316Dic146—84no—
317Dic146C22×Q814yes—
318C8×C73—22no—
319C8×C73—22no—
320#10596831—22no—
321#10596831—22no—
322C22×C73C2×C22⋊Q812yes—
323C22×C73#57712yes—
324C22×C73#57812yes—
325C22×C73C23×D411yescharacteristic
326C2×D73—28no—
327C2×D73—22no—
328C2×D73—22no—
329C2×D73C2×C22⋊Q814yes—
330C4×C73—24no—
331C4×C73—22no—
332C4×C73—22no—
333C4×C73—42no—
334C4×C73—42no—
335C4×C73—42no—
336C4×C73C2×C22⋊Q812yes—
337C4×C73C23×Q811yescharacteristic
338C4×C73C22×#4111yescharacteristic
339Dic73—24no—
340Dic73—22no—
341Dic73—22no—
342Dic73—42no—
343Dic73—42no—
344Dic73—42no—
345Dic73C2×C22⋊Q814yes—
346C2×#3082—731nomaximal, Sylow
347C2×C73#308214yescomplemented
348C2×C73C22×C22⋊Q811yescharacteristic
349C2×C73C2×#57711yescharacteristic
350C2×C73C2×#57811yescharacteristic
351D73—24no—
352C2×#544—731no—
353C2×#519—731no—
354#3082—7316no—
355C2×#479—731no—
356C2×#479—731no—
357C2×#479—731no—
358C2×#479D7311yescharacteristic, complemented
359C2×#477—731no—
360C2×#477—731no—
361C2×#475—731no—
362C2×#475—731no—
363C2×#428—731no—
364C2×#427—731no—
365C2×#424—731no—
366C2×#419—731no—
367C22×#103—731no—
368C73C2×#308211yescharacteristic, complemented, Sylow
369C23×Q8—731no—
370C22×M16—731no—
371C23×C8—731no—
372#544—738no—
373#544—1464no—
374C2×C4⋊Q8—731no—
375C2×C4⋊Q8—731no—
376C2×C4⋊Q8—1461no—
377C2×#125—731no—
378C2×#125—1461no—
379C2×#125C2×D7311yescharacteristic
380C2×C22⋊Q8—1461no—
381C2×C22⋊Q8—1461no—
382#519—738no—
383#519—1464no—
384C2×C4×Q8—731no—
385C2×C4×Q8—731no—
386C2×C4×Q8—731no—
387C2×C4×Q8—1461no—
388C2×C4×Q8—1461no—
389C2×C4×Q8C2×D7311yescharacteristic
390C2×#117—731no—
391C2×#117—731no—
392C2×#117—731no—
393C2×#117—1461no—
394C2×#117—1461no—
395C22×C4⋊C4—731no—
396#479—738no—
397#479—738no—
398#479—738no—
399#479C2×D7318yescomplemented
400#477—738no—
401#477—738no—
402#475—738no—
403#475—738no—
404#428—738no—
405#427—738no—
406C2×#107—731no—
407C2×#107—731no—
408C2×#107—731no—
409C2×#107C2×D7311yescharacteristic
410C2×#106—731no—
411C2×#106—731no—
412C2×#106—731no—
413C2×#106C2×D7311yescharacteristic
414#424—738no—
415C2×C4⋊C8—731no—
416C2×C4⋊C8—731no—
417C2×C4⋊C8—731no—
418C2×C4⋊C8C2×D7311yescharacteristic
419#419—738no—
420C2×#103—731no—
421C2×#103—731no—
422C2×#103—731no—
423C2×#103—731no—
424C2×#103—731no—
425C2×#103—731no—
426C2×#103—738no—
427C2×#103C2×D7311yescharacteristic
428C2×#103C2×D7311yescharacteristic
429C22×Q8—738no—
430C22×Q8—734no—
431C22×Q8—731no—
432C22×Q8—1461no—
433C22×Q8—1461no—
434C22×Q8—1462no—
435C22×Q8—1464no—
436C22×Q8—1461no—
437C22×Q8C22×D7311yescharacteristic
438C23×C4—731no—
439C23×C4—1461no—
440C23×C4—1461no—
441C2×M16—734no—
442C2×M16—1464no—
443C22×C8—731no—
444C22×C8—731no—
445C22×C8—734no—
446C22×C8—1464no—
447C22×C8C22×D7311yescharacteristic
448C22×C8C22×D7311yescharacteristic
449C4⋊Q8—734no—
450C4⋊Q8—734no—
451C4⋊Q8—1462no—
452C4⋊Q8—1468no—
453C4⋊Q8—1462no—
454#125—22no—
455#125—734no—
456#125—1462no—
457#125—1468no—
458#125C22×D7314yes—
459C22⋊Q8—1468no—
460C22⋊Q8—1468no—
461C4×Q8—22no—
462C4×Q8—734no—
463C4×Q8—734no—
464C4×Q8—734no—
465C4×Q8—1468no—
466C4×Q8—1462no—
467C4×Q8—1462no—
468C4×Q8—1468no—
469C4×Q8—1462no—
470C4×Q8C22×D7314yes—
471#117—734no—
472#117—734no—
473#117—734no—
474#117—734no—
475#117—1468no—
476#117—1468no—
477#117—1462no—
478#117—1462no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—21no—
481C2×C4⋊C4—21no—
482C2×C4⋊C4—731no—
483C2×C4⋊C4—731no—
484C2×C4⋊C4—731no—
485C2×C4⋊C4—731no—
486C2×C4⋊C4—731no—
487C2×C4⋊C4—734no—
488C2×C4⋊C4—1462no—
489C2×C4⋊C4—1461no—
490C2×C4⋊C4—1461no—
491C2×C4⋊C4—1461no—
492C2×C4⋊C4—1461no—
493C2×C4⋊C4—1461no—
494C2×C4⋊C4—1461no—
495C2×C4⋊C4—1461no—
496C2×C4⋊C4—1461no—
497C2×C4⋊C4C22×D7311yescharacteristic
498C2×C4⋊C4C22×D7311yescharacteristic
499C2×C4⋊C4C22×D7311yescharacteristic
500C2×C22⋊C4—731no—
501C2×C22⋊C4—731no—
502C2×C22⋊C4—1461no—
503C2×C22⋊C4—1461no—
504C2×C42—21no—
505C2×C42—731no—
506C2×C42—1461no—
507C2×C42—1461no—
508C2×C42—1461no—
509C2×C42—1461no—
510C2×C42—1461no—
511C2×C42C22×D7311yescharacteristic
512#107—734no—
513#107—734no—
514#107—734no—
515#107C22×D7314yes—
516#106—734no—
517#106—734no—
518#106—734no—
519#106C22×D7314yes—
520C4⋊C8—734no—
521C4⋊C8—734no—
522C4⋊C8—734no—
523C4⋊C8C22×D7314yes—
524#103—734no—
525#103—734no—
526#103—734no—
527#103—734no—
528#103—734no—
529#103—734no—
530#103C22×D7314yes—
531#103C22×D7314yes—
532C24—731no—
533C2×Q8—21no—
534C2×Q8—22no—
535C2×Q8—5842no—
536C2×Q8—5842no—
537C2×Q8—7316no—
538C2×Q8—734no—
539C2×Q8—732no—
540C2×Q8—1464no—
541C2×Q8—1464no—
542C2×Q8—1468no—
543C2×Q8—1468no—
544C2×Q8—14616no—
545C2×Q8—1464no—
546C2×Q8—1461no—
547C2×Q8—1462no—
548C2×Q8Q8×D7314yes—
549C2×Q8C23×D7312yes—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—5842no—
555C22×C4—731no—
556C22×C4—732no—
557C22×C4—734no—
558C22×C4—734no—
559C22×C4—732no—
560C22×C4—731no—
561C22×C4—731no—
562C22×C4—1464no—
563C22×C4—1464no—
564C22×C4—1468no—
565C22×C4—1461no—
566C22×C4—1461no—
567C22×C4—1461no—
568C22×C4—1461no—
569C22×C4D4×D7311yescharacteristic
570C22×C4D4×D7311yescharacteristic
571C22×C4C23×D7311yescharacteristic
572M16—1468no—
573C2×C8—22no—
574C2×C8—22no—
575C2×C8—732no—
576C2×C8—732no—
577C2×C8—1468no—
578C2×C8—1462no—
579C2×C8—1462no—
580C2×C8C23×D7312yes—
581C2×C8C23×D7312yes—
582C4⋊C4—24no—
583C4⋊C4—24no—
584C4⋊C4—24no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—734no—
589C4⋊C4—734no—
590C4⋊C4—732no—
591C4⋊C4—732no—
592C4⋊C4—732no—
593C4⋊C4—1464no—
594C4⋊C4—1464no—
595C4⋊C4—1464no—
596C4⋊C4—1464no—
597C4⋊C4—1464no—
598C4⋊C4—1464no—
599C4⋊C4—1464no—
600C4⋊C4—1461no—
601C4⋊C4—1461no—
602C4⋊C4—1461no—
603C4⋊C4—1464no—
604C4⋊C4C23×D7312yes—
605C4⋊C4C23×D7312yes—
606C4⋊C4C23×D7312yes—
607C22⋊C4—734no—
608C22⋊C4—734no—
609C22⋊C4—1464no—
610C22⋊C4—1464no—
611C42—24no—
612C42—732no—
613C42—732no—
614C42—1464no—
615C42—1464no—
616C42—1464no—
617C42—1464no—
618C42—1464no—
619C42D4×D7312yes—
620C42C23×D7312yes—
621C23—732no—
622C23—734no—
623C23—1462no—
624C23—1462no—
625C23C2×D4×D7311yescharacteristic
626Q8—22no—
627Q8—24no—
628Q8—5844no—
629Q8—5844no—
630Q8—734no—
631Q8—14616no—
632Q8—1462no—
633Q8—1464no—
634Q8C2×Q8×D7314yes—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—2922no—
646C2×C4—2922no—
647C2×C4—2922no—
648C2×C4—5844no—
649C2×C4—732no—
650C2×C4—734no—
651C2×C4—734no—
652C2×C4—734no—
653C2×C4—738no—
654C2×C4—732no—
655C2×C4—732no—
656C2×C4—14616no—
657C2×C4—1462no—
658C2×C4—1462no—
659C2×C4—1462no—
660C2×C4—1462no—
661C2×C4—1462no—
662C2×C4—1462no—
663C2×C4—1464no—
664C2×C4C2×D4×D7312yes—
665C2×C4C2×D4×D7312yes—
666C2×C4C2×D4×D7311yescharacteristic
667C2×C4C2×Q8×D7312yes—
668C2×C4#41×D7312yes—
669C2×C4C24×D7311yescharacteristic
670C8—22no—
671C8—22no—
672C8—1462no—
673C8—1462no—
674C22—734no—
675C22—1468no—
676C22—1462no—
677C22—1462no—
678C22C22⋊Q8×D7312yes—
679C22#1798939412yes—
680C22#1798940312yes—
681C22C22×D4×D7311yescharacteristic
682C4—22no—
683C4—24no—
684C4—22no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—2922no—
689C4—2922no—
690C4—2922no—
691C4—734no—
692C4—1462no—
693C4—1464no—
694C4—1462no—
695C4C22⋊Q8×D7312yes—
696C4C22×Q8×D7311yescharacteristic
697C4C2×#41×D7311yescharacteristic
698C2—1464no—
699C2#2261977014yesdirect product factor
700C2C2×C22⋊Q8×D7311yescharacteristic
701C2C2×#1798939411yescharacteristic
702C2C2×#1798940311yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#479×C73C2
socleC23×C73C22×D4
prime radicalC23×D73C2×D4
hypercenterC2×#479D73
hypocenterC73C2×#3082
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
3. #22619770C2direct (N × H)
4. C2×#17988897C2semidirect
5. C2×#17988892C2semidirect
6. C2×#17988891C2semidirect
7. C2×#17988882C2semidirect
8. C2×#17988881C2semidirect
9. C2×#17988873C2semidirect
10. C2×#17988870C2semidirect
16. C2×#479×C73C2semidirect
42. #17988897C22semidirect
43. #17988892C22semidirect
44. #17988891C22semidirect
45. #17988882C22semidirect
46. #17988881C22semidirect
47. #17988873C22semidirect
48. #17988870C22semidirect
71. #479×C73C22semidirect
83. C2×Q8×D73Q8semidirect
193. Q8×D73C2×Q8semidirect
347. C2×C73#3082semidirect
358. C2×#479D73semidirect
368. C73C2×#3082semidirect
399. #479C2×D73semidirect
699. C2#22619770direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179892172
C2×#179890632
#226197702
C2×#179888972
C2×#179888922
C2×#179888912
C2×#179888822
C2×#179888812
C2×#179888732
C2×#179888702
C2×#179886282
C2×#179886222
C2×#179886122
C2×#179885942
C2×#103×D732
C2×#479×C732
C2×#308273