Finite Group Databasebeta

← C2×#19145857 #25968796

Subgroups — C2×#19145857 #25968796

Order 11008.

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×#14583527C211yesmaximal, characteristic
2#19145857C2116yesmaximal, direct product factor
3C2×#14583309C211yesmaximal, characteristic, complemented
4C2×#14583298C211yesmaximal, characteristic, complemented
5C2×#14583267C211yesmaximal, characteristic, complemented
6C2×#14583249C211yesmaximal, characteristic, complemented
7C2×#14583232C211yesmaximal, characteristic
8C2×#14583237C211yesmaximal, characteristic
9C2×#14583237C211yesmaximal, characteristic
10C2×#14583227C211yesmaximal, characteristic
11C2×#14583206C211yesmaximal, characteristic, complemented
12C2×#14583206C211yesmaximal, characteristic, complemented
13C2×#14583194C211yesmaximal, characteristic, complemented
14C2×#14583184C211yesmaximal, characteristic, complemented
15C2×#14582960C211yesmaximal, characteristic
16C2×C43×#541C211yesmaximal, characteristic
17#14583527—24no—
18#14583527C2218yes—
19C2×#13063325C2211yescharacteristic
20C2×#13063325C2211yescharacteristic
21C2×#13063324—21no—
22C2×#13063317C2211yescharacteristic
23C2×#13063317C2211yescharacteristic
24C2×#13063316—21no—
25C2×#13063302—21no—
26C2×#13063302—21no—
27C2×#13063284C2211yescharacteristic
28C22×C4⋊Dic43C2211yescharacteristic
29#14583309C2218yescomplemented
30#14583298C2218yescomplemented
31#14583267C2218yescomplemented
32#14583249C2218yescomplemented
33#14583237C2218yes—
34#14583237C2218yes—
35#14583232C2218yes—
36#14583227C2218yes—
37#14583206C2218yescomplemented
38#14583206C2218yescomplemented
39#14583194C2218yescomplemented
40#14583184C2218yescomplemented
41#14582960C2218yes—
42C2×#13063258C2211yescharacteristic
43C2×#13063258C2211yescharacteristic
44C2×#13063258C2211yescharacteristic
45C2×#13063258C2211yescharacteristic
46C2×#13063256C2211yescharacteristic
47C2×#13063256C2211yescharacteristic
48C2×#13063256C2211yescharacteristic
49C2×#13063256C2211yescharacteristic
50C2×C4⋊(C43⋊C8)C2211yescharacteristic
51C2×C4⋊(C43⋊C8)C2211yescharacteristic
52C2×#13063249C2211yescharacteristic
53C2×#13063249C2211yescharacteristic
54C2×#13063249C2211yescharacteristic
55C2×#13063249C2211yescharacteristic
56C2×#13063249C2211yescharacteristic
57C2×#13063249C2211yescharacteristic
58C2×#13063249C2211yescharacteristic
59C2×#13063249C2211yescharacteristic
60C2×C22⋊(C43⋊C8)C2211yescharacteristic
61C2×C22⋊(C43⋊C8)C2211yescharacteristic
62C2×#13063236C2211yescharacteristic
63C2×C4×C43⋊C8C2211yescharacteristic
64C43×#541—24no—
65C43×#541C2218yes—
66C2×C4⋊Q8×C43C2211yescharacteristic
67C2×#126×C43—21no—
68C2×#126×C43—21no—
69C2×#125×C43—21no—
70C2×#125×C43—21no—
71C2×#125×C43C2211yescharacteristic
72C2×C22⋊Q8×C43C2211yescharacteristic
73C2×C22⋊Q8×C43C2211yescharacteristic
74C2×C4×Q8×C43C2211yescharacteristic
75C2×C4×Q8×C43C2211yescharacteristic
76C2×#117×C43C2211yescharacteristic
77C22×Dic86—21no—
78C22×Dic86—21no—
79C23×Dic43—21no—
80C22×C43⋊C8C2311yescharacteristic
81C22×C43⋊C8C2311yescharacteristic
82C22×C43⋊C8C2311yescharacteristic
83C22×C43⋊C8C2311yescharacteristic
84#13063325—22no—
85#13063325—22no—
86#13063325C2314yes—
87#13063325C2314yes—
88#13063324—28no—
89#13063317—22no—
90#13063317—22no—
91#13063317C2314yes—
92#13063317C2314yes—
93#13063316—28no—
94#13063302—28no—
95#13063302—28no—
96#13063284—22no—
97#13063284C2314yes—
98C2×C4⋊Dic43—21no—
99C2×C4⋊Dic43—22no—
100C2×C4⋊Dic43—21no—
101C2×C4⋊Dic43—21no—
102C2×C4⋊Dic43C2311yescharacteristic
103C2×C4⋊Dic43C2311yescharacteristic
104C2×C4⋊Dic43C2314yes—
105C2×C4⋊Dic43C2311yescharacteristic
106C2×C4⋊Dic43C2311yescharacteristic
107C2×Dic43⋊C4—21no—
108C2×Dic43⋊C4—21no—
109C2×Dic43⋊C4—21no—
110C2×Dic43⋊C4—21no—
111C2×C22⋊Dic43—21no—
112C2×C4×Dic43—21no—
113#13063258C2314yes—
114#13063258C2314yes—
115#13063258C2314yes—
116#13063258C2314yes—
117#13063256C2314yes—
118#13063256C2314yes—
119#13063256C2314yes—
120#13063256C2314yes—
121C4⋊(C43⋊C8)C2314yes—
122C4⋊(C43⋊C8)C2314yes—
123#13063249C2314yes—
124#13063249C2314yes—
125#13063249C2314yes—
126#13063249C2314yes—
127#13063249C2314yes—
128#13063249C2314yes—
129#13063249C2314yes—
130#13063249C2314yes—
131C22⋊(C43⋊C8)C2314yes—
132C22⋊(C43⋊C8)C2314yes—
133#13063236C2314yes—
134C4×C43⋊C8C2314yes—
135C22×Q8×C43C2311yescharacteristic
136C22×Q8×C43C2311yescharacteristic
137C23×C4×C43C2311yescharacteristic
138C4⋊Q8×C43—22no—
139C4⋊Q8×C43C2314yes—
140#126×C43—28no—
141#126×C43—28no—
142#125×C43—28no—
143#125×C43—28no—
144#125×C43—22no—
145#125×C43C2314yes—
146C22⋊Q8×C43—22no—
147C22⋊Q8×C43—22no—
148C22⋊Q8×C43C2314yes—
149C22⋊Q8×C43C2314yes—
150C4×Q8×C43—22no—
151C4×Q8×C43—22no—
152C4×Q8×C43C2314yes—
153C4×Q8×C43C2314yes—
154#117×C43D414yes—
155#117×C43C2314yes—
156C2×C4⋊C4×C43—21no—
157C2×C4⋊C4×C43—21no—
158C2×C4⋊C4×C43—21no—
159C2×C4⋊C4×C43—21no—
160C2×C4⋊C4×C43—21no—
161C2×C4⋊C4×C43—21no—
162C2×C4⋊C4×C43—21no—
163C2×C4⋊C4×C43—21no—
164C2×C4⋊C4×C43D411yescharacteristic
165C2×C4⋊C4×C43D411yescharacteristic
166C2×C4⋊C4×C43C2311yescharacteristic
167C2×C4⋊C4×C43C2311yescharacteristic
168C2×C22⋊C4×C43—21no—
169C2×C22⋊C4×C43—21no—
170C2×C22⋊C4×C43D411yescharacteristic
171C2×C22⋊C4×C43D411yescharacteristic
172C2×C42×C43—21no—
173C2×C42×C43—21no—
174C2×C42×C43C2311yescharacteristic
175C2×C42×C43C2311yescharacteristic
176C24×C43C2×D411yescharacteristic
177C2×Q8×C43—21no—
178C2×Q8×C43—21no—
179C2×Q8×C43—22no—
180C2×Q8×C43—22no—
181C2×Q8×C43—22no—
182C2×Q8×C43—22no—
183C2×Q8×C43C2412yes—
184C2×Q8×C43C2412yes—
185C22×C4×C43—22no—
186C22×C4×C43—22no—
187C22×C4×C43—21no—
188C22×C4×C43—21no—
189C22×C4×C43—21no—
190C22×C4×C43—21no—
191C22×C4×C43C2×D411yescharacteristic
192C22×C4×C43C2×D411yescharacteristic
193C22×C4×C43C2×D411yescharacteristic
194C22×C4×C43C2×D411yescharacteristic
195C22×C4×C43C2×D411yescharacteristic
196C22×C4×C43C2×D412yes—
197C22×C4×C43C2412yes—
198C22×C4×C43C2411yescharacteristic
199C22×Dic43—21no—
200C22×Dic43—21no—
201C22×Dic43—21no—
202C22×Dic43—21no—
203C22×Dic43—24no—
204C22×Dic43—82no—
205C2×Dic86—24no—
206C2×Dic86—24no—
207C2×Dic86—82no—
208C2×Dic86—82no—
209C4⋊C4×C43—24no—
210C4⋊C4×C43—24no—
211C4⋊C4×C43—24no—
212C4⋊C4×C43—24no—
213C4⋊C4×C43—24no—
214C4⋊C4×C43—24no—
215C4⋊C4×C43—24no—
216C4⋊C4×C43—24no—
217C4⋊C4×C43—21no—
218C4⋊C4×C43—21no—
219C4⋊C4×C43C2×D414yes—
220C4⋊C4×C43C2×D414yes—
221C4⋊C4×C43C2412yes—
222C4⋊C4×C43C2412yes—
223C22⋊C4×C43—24no—
224C22⋊C4×C43—24no—
225C22⋊C4×C43C2×D414yes—
226C22⋊C4×C43C2×D414yes—
227C42×C43—24no—
228C42×C43—24no—
229C42×C43C2×D412yes—
230C42×C43C2×D412yes—
231C42×C43C2412yes—
232C42×C43C2412yes—
233C22⋊Dic43—24no—
234C4⋊Dic43—24no—
235C4⋊Dic43—21no—
236C4⋊Dic43—21no—
237C4⋊Dic43—24no—
238C4⋊Dic43—24no—
239C4⋊Dic43—21no—
240C4⋊Dic43—21no—
241C4⋊Dic43C2412yes—
242C4⋊Dic43C2412yes—
243C4⋊Dic43C2412yes—
244C4⋊Dic43C2412yes—
245Dic43⋊C4—24no—
246Dic43⋊C4—24no—
247Dic43⋊C4—24no—
248Dic43⋊C4—24no—
249C4×Dic43—24no—
250C2×C43⋊C8—22no—
251C2×C43⋊C8—22no—
252C2×C43⋊C8—22no—
253C2×C43⋊C8—22no—
254C2×C43⋊C8C2412yes—
255C2×C43⋊C8C2412yes—
256C2×C43⋊C8C2412yes—
257C2×C43⋊C8C2412yes—
258C23×C43—22no—
259C23×C43—22no—
260C23×C43—22no—
261C23×C43C22×D412yes—
262C23×C43C22×D411yescharacteristic
263Q8×C43—22no—
264Q8×C43—22no—
265Q8×C43—22no—
266Q8×C43—22no—
267Q8×C43—42no—
268Q8×C43—42no—
269C2×C4×C43—22no—
270C2×C4×C43—22no—
271C2×C4×C43—22no—
272C2×C4×C43—22no—
273C2×C4×C43—22no—
274C2×C4×C43—24no—
275C2×C4×C43—22no—
276C2×C4×C43—22no—
277C2×C4×C43—22no—
278C2×C4×C43—22no—
279C2×C4×C43—22no—
280C2×C4×C43—22no—
281C2×C4×C43—42no—
282C2×C4×C43—42no—
283C2×C4×C43—42no—
284C2×C4×C43—42no—
285C2×C4×C43C22×D412yes—
286C2×C4×C43C22×D412yes—
287C2×C4×C43C22×D412yes—
288C2×C4×C43C22×D412yes—
289C2×C4×C43C22×D412yes—
290C2×C4×C43C22×D411yescharacteristic
291C2×C4×C432−1+412yes—
292C2×C4×C432−1+412yes—
293C2×C4×C43C2511yescharacteristic
294C2×Dic43—22no—
295C2×Dic43—22no—
296C2×Dic43—22no—
297C2×Dic43—22no—
298C2×Dic43—42no—
299C2×Dic43—42no—
300C2×Dic43—42no—
301C2×Dic43—42no—
302C2×Dic43—84no—
303Dic86—84no—
304Dic86—84no—
305C43⋊C8—22no—
306C43⋊C8—22no—
307C43⋊C8—22no—
308C43⋊C8—22no—
309C2×#3242—431nomaximal, Sylow
310C22×C43—22no—
311C22×C43—22no—
312C22×C43—22no—
313C22×C43—44no—
314C22×C43#53612yes—
315C22×C43#57712yes—
316C22×C43#57812yes—
317C22×C43C23×D411yescharacteristic
318C4×C43—22no—
319C4×C43—22no—
320C4×C43—22no—
321C4×C43—22no—
322C4×C43—22no—
323C4×C43—42no—
324C4×C43—42no—
325C4×C43—42no—
326C4×C43—42no—
327C4×C43#53612yes—
328C4×C43C2×2−1+411yescharacteristic
329C4×C43C2×2−1+411yescharacteristic
330Dic43—42no—
331Dic43—42no—
332Dic43—42no—
333Dic43—42no—
334C2×#544—431no—
335C2×#541D4311yescharacteristic
336#3242—4316no—
337C2×#501—431no—
338C2×#499—431no—
339C2×#491—431no—
340C2×#487—431no—
341C2×#484—431no—
342C2×#485—431no—
343C2×#485—431no—
344C2×#483—431no—
345C2×#479—431no—
346C2×#479—431no—
347C2×#477—431no—
348C2×#475—431no—
349C2×#433—431no—
350C2×C43—42no—
351C2×C43#324214yescomplemented
352C2×C43C2×#53611yescharacteristic
353C2×C43C2×#57711yescharacteristic
354C2×C43C2×#57811yescharacteristic
355#544—438no—
356#544—864no—
357#541—24no—
358#541C2×D4318yes—
359C2×C4⋊Q8—431no—
360C2×C4⋊Q8—431no—
361C2×C4⋊Q8—861no—
362C2×C4⋊Q8C2×D4311yescharacteristic
363C2×#126—21no—
364C2×#126—21no—
365C2×#125—21no—
366C2×#125—21no—
367C2×#125—431no—
368C2×#125—431no—
369C2×#125—861no—
370C2×#125C2×D4311yescharacteristic
371C2×C22⋊Q8—861no—
372C2×C22⋊Q8—861no—
373C2×C22⋊Q8C2×D4311yescharacteristic
374C2×C22⋊Q8C2×D4311yescharacteristic
375C2×C4×Q8C2×D4311yescharacteristic
376C2×C4×Q8C2×D4311yescharacteristic
377C2×#117—431no—
378C2×#117C2×D4311yescharacteristic
379C22×C4⋊C4—431no—
380#501—438no—
381#499—438no—
382#491—438no—
383#487—438no—
384#485—438no—
385#485—438no—
386#484—438no—
387#483—438no—
388#479—438no—
389#479—438no—
390#477—438no—
391#475—438no—
392#433—438no—
393C2×#107—431no—
394C2×#107—431no—
395C2×#107—431no—
396C2×#107—431no—
397C2×#106—431no—
398C2×#106—431no—
399C2×#106—431no—
400C2×#106—431no—
401C2×C4⋊C8—431no—
402C2×C4⋊C8—431no—
403C2×#103—431no—
404C2×#103—431no—
405C2×#103—431no—
406C2×#103—431no—
407C2×#103—431no—
408C2×#103—431no—
409C2×#103—431no—
410C2×#103—431no—
411C2×C22⋊C8—431no—
412C2×C22⋊C8—431no—
413C2×#97—431no—
414C2×C4×C8—431no—
415C43C2×#324211yescharacteristic, complemented, Sylow
416C22×Q8—861no—
417C22×Q8—861no—
418C22×Q8C22×D4311yescharacteristic
419C22×Q8C22×D4311yescharacteristic
420C23×C4—861no—
421C23×C4C22×D4311yescharacteristic
422C22×C8—431no—
423C22×C8—431no—
424C22×C8—431no—
425C22×C8—431no—
426C4⋊Q8—22no—
427C4⋊Q8—434no—
428C4⋊Q8—434no—
429C4⋊Q8—868no—
430C4⋊Q8—862no—
431C4⋊Q8—862no—
432C4⋊Q8C22×D4314yes—
433#126—28no—
434#126—28no—
435#125—28no—
436#125—28no—
437#125—22no—
438#125—434no—
439#125—434no—
440#125—868no—
441#125—862no—
442#125—862no—
443#125C22×D4314yes—
444C22⋊Q8—22no—
445C22⋊Q8—22no—
446C22⋊Q8—868no—
447C22⋊Q8—868no—
448C22⋊Q8C22×D4314yes—
449C22⋊Q8C22×D4314yes—
450C4×Q8—22no—
451C4×Q8—22no—
452C4×Q8C22×D4314yes—
453C4×Q8C22×D4314yes—
454#117—434no—
455#117—862no—
456#117C22⋊D4314yes—
457#117C22×D4314yes—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—21no—
466C2×C4⋊C4—431no—
467C2×C4⋊C4—431no—
468C2×C4⋊C4—434no—
469C2×C4⋊C4—431no—
470C2×C4⋊C4—431no—
471C2×C4⋊C4—861no—
472C2×C4⋊C4—862no—
473C2×C4⋊C4—861no—
474C2×C4⋊C4—861no—
475C2×C4⋊C4—861no—
476C2×C4⋊C4—861no—
477C2×C4⋊C4—861no—
478C2×C4⋊C4—861no—
479C2×C4⋊C4C22⋊D4311yescharacteristic
480C2×C4⋊C4C22⋊D4311yescharacteristic
481C2×C4⋊C4C22×D4311yescharacteristic
482C2×C4⋊C4C22×D4311yescharacteristic
483C2×C22⋊C4—21no—
484C2×C22⋊C4—21no—
485C2×C22⋊C4—861no—
486C2×C22⋊C4C22⋊D4311yescharacteristic
487C2×C22⋊C4C22⋊D4311yescharacteristic
488C2×C42—21no—
489C2×C42—21no—
490C2×C42—861no—
491C2×C42C22×D4311yescharacteristic
492C2×C42C22×D4311yescharacteristic
493#107—434no—
494#107—434no—
495#107—434no—
496#107—434no—
497#106—434no—
498#106—434no—
499#106—434no—
500#106—434no—
501C4⋊C8—434no—
502C4⋊C8—434no—
503#103—434no—
504#103—434no—
505#103—434no—
506#103—434no—
507#103—434no—
508#103—434no—
509#103—434no—
510#103—434no—
511C22⋊C8—434no—
512C22⋊C8—434no—
513#97—434no—
514C4×C8—434no—
515C24C2×C22⋊D4311yescharacteristic
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—22no—
519C2×Q8—22no—
520C2×Q8—22no—
521C2×Q8—22no—
522C2×Q8—864no—
523C2×Q8—864no—
524C2×Q8—3442no—
525C2×Q8—3442no—
526C2×Q8C23×D4312yes—
527C2×Q8C23×D4312yes—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—864no—
535C22×C4—861no—
536C22×C4—861no—
537C22×C4—861no—
538C22×C4—861no—
539C22×C4—3442no—
540C22×C4C2×C22⋊D4312yes—
541C22×C4C2×C22⋊D4311yescharacteristic
542C22×C4C2×C22⋊D4311yescharacteristic
543C22×C4C2×C22⋊D4311yescharacteristic
544C22×C4C2×C22⋊D4311yescharacteristic
545C22×C4C2×C22⋊D4311yescharacteristic
546C22×C4C23×D4312yes—
547C22×C4C23×D4311yescharacteristic
548C2×C8—432no—
549C2×C8—432no—
550C2×C8—432no—
551C2×C8—432no—
552C2×C8—862no—
553C2×C8—862no—
554C2×C8—862no—
555C2×C8—862no—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—432no—
567C4⋊C4—432no—
568C4⋊C4—432no—
569C4⋊C4—432no—
570C4⋊C4—864no—
571C4⋊C4—861no—
572C4⋊C4—861no—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—864no—
576C4⋊C4—864no—
577C4⋊C4—864no—
578C4⋊C4—864no—
579C4⋊C4—864no—
580C4⋊C4—864no—
581C4⋊C4C2×C22⋊D4314yes—
582C4⋊C4C2×C22⋊D4314yes—
583C4⋊C4C23×D4312yes—
584C4⋊C4C23×D4312yes—
585C22⋊C4—24no—
586C22⋊C4—24no—
587C22⋊C4—864no—
588C22⋊C4C2×C22⋊D4314yes—
589C22⋊C4C2×C22⋊D4314yes—
590C42—24no—
591C42—24no—
592C42—864no—
593C42C2×C22⋊D4312yes—
594C42C2×C22⋊D4312yes—
595C42C23×D4312yes—
596C42C23×D4312yes—
597C23—22no—
598C23—22no—
599C23—22no—
600C23C22×C22⋊D4312yes—
601C23C22×C22⋊D4311yescharacteristic
602Q8—22no—
603Q8—22no—
604Q8—22no—
605Q8—22no—
606Q8—42no—
607Q8—42no—
608Q8—3444no—
609Q8—3444no—
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—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—862no—
627C2×C4—862no—
628C2×C4—862no—
629C2×C4—862no—
630C2×C4—3444no—
631C2×C4—1722no—
632C2×C4—1722no—
633C2×C4—1722no—
634C2×C4—1722no—
635C2×C4C22×C22⋊D4312yes—
636C2×C4C22×C22⋊D4312yes—
637C2×C4C22×C22⋊D4312yes—
638C2×C4C22×C22⋊D4312yes—
639C2×C4C22×C22⋊D4312yes—
640C2×C4C22×C22⋊D4311yescharacteristic
641C2×C4#1306337212yes—
642C2×C4#1306337212yes—
643C2×C4C24×D4311yescharacteristic
644C8—862no—
645C8—862no—
646C8—862no—
647C8—862no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—44no—
652C22#1458347012yes—
653C22#1458370712yes—
654C22#1458371412yes—
655C22C23×C22⋊D4311yescharacteristic
656C4—22no—
657C4—22no—
658C4—22no—
659C4—22no—
660C4—22no—
661C4—42no—
662C4—42no—
663C4—42no—
664C4—42no—
665C4—1722no—
666C4—1722no—
667C4—1722no—
668C4—1722no—
669C4#1458347012yes—
670C4C2×#1306337211yescharacteristic
671C4C2×#1306337211yescharacteristic
672C2—42no—
673C2#1914585714yesdirect product factor
674C2C2×#1458347011yescharacteristic
675C2C2×#1458370711yescharacteristic
676C2C2×#1458371411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#541C2
socleC23×C43C22×D4
prime radicalC24×C43C2×D4
hypercenterC2×#541D43
hypocenterC43C2×#3242
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#541

Complements

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

NH ≅ G/Ntype
2. #19145857C2direct (N × H)
3. C2×#14583309C2semidirect
4. C2×#14583298C2semidirect
5. C2×#14583267C2semidirect
6. C2×#14583249C2semidirect
11. C2×#14583206C2semidirect
12. C2×#14583206C2semidirect
13. C2×#14583194C2semidirect
14. C2×#14583184C2semidirect
29. #14583309C22semidirect
30. #14583298C22semidirect
31. #14583267C22semidirect
32. #14583249C22semidirect
37. #14583206C22semidirect
38. #14583206C22semidirect
39. #14583194C22semidirect
40. #14583184C22semidirect
351. C2×C43#3242semidirect
415. C43C2×#3242semidirect
673. C2#19145857direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145835272
#191458572
C2×#145833092
C2×#145832982
C2×#145832672
C2×#145832492
C2×#145832322
C2×#145832372
C2×#145832272
C2×#145832062
C2×#145831942
C2×#145831842
C2×#145829602
C2×C43×#5412
C2×#324243