Finite Group Databasebeta

← #25107947

Subgroups — #25107947

Order 11008.

968 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583059C211yesmaximal, characteristic
2#19137183C211yesmaximal, characteristic
3#19135479C211yesmaximal, characteristic, complemented
4#19135455C211yesmaximal, characteristic, complemented
5#19135284C211yesmaximal, characteristic, complemented
6#19135277C211yesmaximal, characteristic, complemented
7#19135236C211yesmaximal, characteristic, complemented
8#19135215C211yesmaximal, characteristic, complemented
9#19134950C211yesmaximal, characteristic, complemented
10#19134936C211yesmaximal, characteristic, complemented
11#19134903C211yesmaximal, characteristic, complemented
12#19134782C211yesmaximal, characteristic, complemented
13#19134533C211yesmaximal, characteristic
14#19134361C211yesmaximal, characteristic, complemented
15C43×#2323C211yesmaximal, characteristic, complemented
16C22×#10621898C2211yescharacteristic
17C22×#10621885C2211yescharacteristic
18C22×#10621884C2211yescharacteristic
19C22×C4⋊Dic43C2211yescharacteristic
20#14583059C418yescomplemented
21C2×#13063258C2211yescharacteristic
22C2×#13063258C2211yescharacteristic
23C2×#13063249C2211yescharacteristic
24C2×#13063249C2211yescharacteristic
25C2×#13063248C2211yescharacteristic
26C2×#13063248C2211yescharacteristic
27C2×#13063248C2211yescharacteristic
28C2×#13063245C2211yescharacteristic
29C2×#13063245C2211yescharacteristic
30C2×#13063245C2211yescharacteristic
31C2×C22⋊(C43⋊C8)C2211yescharacteristic
32C2×C22⋊(C43⋊C8)C2211yescharacteristic
33C2×#13063236C2211yescharacteristic
34C2×C4×C43⋊C8C2211yescharacteristic
35#14582805C2211yescharacteristic
36#14582805C2211yescharacteristic
37#14582801C2211yescharacteristic
38#14582801C2211yescharacteristic
39#14582776—21no—
40#14582776—21no—
41#14582756—21no—
42#14582756—21no—
43#14582661C2211yescharacteristic
44#14582661C2211yescharacteristic
45#14582661C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582654C2211yescharacteristic
48#14582654C2211yescharacteristic
49C2×C22⋊Q8×C43C2211yescharacteristic
50C2×C4×Q8×C43C2211yescharacteristic
51C2×#117×C43C2211yescharacteristic
52C43×#391C2211yescharacteristic
53C43×#389—21no—
54C43×#389C2211yescharacteristic
55C43×#388—21no—
56C43×#388—21no—
57C43×#387—21no—
58C43×#380C2211yescharacteristic
59C4×C4⋊C4×C43C2211yescharacteristic
60C2×#10621898—22no—
61C2×#10621898—41no—
62C2×#10621898—41no—
63C2×#10621898—41no—
64C2×#10621898—41no—
65C2×#10621898C2×C414yes—
66C22×Dic86C2311yescharacteristic
67C22×D172C2311yescharacteristic
68C22×C22⋊D43—21no—
69C23×Dic43—21no—
70C22×C4×D43—21no—
71C2×#10621885—41no—
72C2×#10621885—41no—
73C2×#10621885C2×C414yescomplemented
74C2×#10621884—41no—
75C2×#10621884—41no—
76C2×#10621884C2×C414yescomplemented
77C22×C43⋊C8C2311yescharacteristic
78C22×C43⋊C8C2311yescharacteristic
79C22×C43⋊C8C2311yescharacteristic
80C22×C43⋊C8C2311yescharacteristic
81C2×C4⋊Dic43—21no—
82C2×C4⋊Dic43—41no—
83C2×C4⋊Dic43—41no—
84C2×C4⋊Dic43C2311yescharacteristic
85C2×C4⋊Dic43C2311yescharacteristic
86C2×(C2×D43)⋊C4—21no—
87C2×(C2×D43)⋊C4—21no—
88C2×(C2×D43)⋊C4—21no—
89C2×(C2×D43)⋊C4—21no—
90#13063258—41no—
91#13063258—41no—
92#13063249—41no—
93#13063249—41no—
94#13063248—41no—
95#13063248—41no—
96#13063248C2×C414yescomplemented
97#13063245—41no—
98#13063245—41no—
99#13063245C2×C414yescomplemented
100C22⋊(C43⋊C8)—22no—
101C22⋊(C43⋊C8)C2×C414yes—
102#13063236—41no—
103C4×C43⋊C8—41no—
104C43⋊#95—21no—
105C43⋊#95—21no—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C22×Q8×C43C2311yescharacteristic
109C23×C4×C43C2311yescharacteristic
110C22⋊Q8×C43—22no—
111C22⋊Q8×C43C2×C414yes—
112C4×Q8×C43—41no—
113C4×Q8×C43—41no—
114#117×C43—41no—
115#117×C43—41no—
116C2×C4⋊C4×C43—21no—
117C2×C4⋊C4×C43—21no—
118C2×C4⋊C4×C43—21no—
119C2×C4⋊C4×C43D411yescharacteristic
120C2×C4⋊C4×C43D411yescharacteristic
121C2×C4⋊C4×C43C2311yescharacteristic
122C2×C4⋊C4×C43C2311yescharacteristic
123C2×C4⋊C4×C43C2311yescharacteristic
124C2×C22⋊C4×C43—21no—
125C2×C22⋊C4×C43—21no—
126C2×C22⋊C4×C43D411yescharacteristic
127C2×C22⋊C4×C43D411yescharacteristic
128C2×C42×C43—21no—
129C2×C42×C43—21no—
130C2×C42×C43C2311yescharacteristic
131C2×C42×C43C2311yescharacteristic
132#95×C43—21no—
133#95×C43—21no—
134#95×C43—21no—
135#95×C43—21no—
136#95×C43—21no—
137C24×C43C2×D411yescharacteristic
138C23×D43—21no—
139C2×Q8×C43—21no—
140C2×Q8×C43—21no—
141C2×Q8×C43—21no—
142C2×Q8×C43—21no—
143C2×Q8×C43—21no—
144C2×Q8×C43C22×C412yes—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43C22×C412yes—
154C22×C4×C43C2×D411yescharacteristic
155C22×C4×C43C2×D411yescharacteristic
156C22×C4×C43C2×D411yescharacteristic
157C22×C4×C43C2×D411yescharacteristic
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43#4112yes—
160C22×C4×C43C2411yescharacteristic
161C2×C22⋊D43—24no—
162C2×C22⋊D43—42no—
163C2×C22⋊D43—42no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—42no—
168C22×Dic43—81no—
169C22×Dic43—81no—
170#10621898—44no—
171#10621898—44no—
172#10621898—44no—
173#10621898—44no—
174C2×D172—21no—
175C2×D172—21no—
176C2×D172—21no—
177C2×D172—21no—
178C2×D172—21no—
179C2×D172C22×C412yes—
180C2×C4×D43—24no—
181C2×C4×D43—42no—
182C2×C4×D43—42no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86C22×C412yes—
189C4⋊C4×C43—24no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—41no—
196C4⋊C4×C43—41no—
197C4⋊C4×C43—42no—
198C4⋊C4×C43—81no—
199C4⋊C4×C43C22×C412yes—
200C22⋊C4×C43—24no—
201C22⋊C4×C43—41no—
202C22⋊C4×C43—41no—
203C22⋊C4×C43—81no—
204C42×C43—21no—
205C42×C43—21no—
206C42×C43—21no—
207C42×C43—21no—
208C42×C43—42no—
209C42×C43—81no—
210#10621885—44no—
211#10621884—44no—
212(C2×D43)⋊C4—81no—
213(C2×D43)⋊C4—81no—
214(C2×D43)⋊C4—81no—
215(C2×D43)⋊C4—81no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—42no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8C22×C412yes—
232C2×C43⋊C8C22×C412yes—
233C23×C43—21no—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43C4×D412yes—
240C23×C43C22×D411yescharacteristic
241C22×D43—22no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43—41no—
245C22×D43—41no—
246C22×D43—41no—
247C22×D43—41no—
248Q8×C43—22no—
249Q8×C43—22no—
250Q8×C43—41no—
251Q8×C43—41no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
267C2×C4×C43—21no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—21no—
271C2×C4×C43—21no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43—41no—
279C2×C4×C43—41no—
280C2×C4×C43—41no—
281C2×C4×C43—41no—
282C2×C4×C43C4×D412yes—
283C2×C4×C43C23×C411yescharacteristic
284C2×C4×C43C2×#4111yescharacteristic
285C2×C4×C43H(5,𝔽2)11yescharacteristic
286C2×C4×C43H(5,𝔽2)11yescharacteristic
287C2×C4×C43H(5,𝔽2)11yescharacteristic
288C2×C4×C43H(5,𝔽2)11yescharacteristic
289C22⋊D43—48no—
290C2×Dic43—22no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—84no—
300D172—22no—
301D172—22no—
302D172—41no—
303D172—41no—
304C4×D43—48no—
305Dic86—22no—
306Dic86—22no—
307Dic86—41no—
308Dic86—41no—
309C43⋊C8—22no—
310C43⋊C8—22no—
311C43⋊C8—41no—
312C43⋊C8—41no—
313#22057—431nomaximal, Sylow
314C22×C43—22no—
315C22×C43—22no—
316C22×C43—22no—
317C22×C43—41no—
318C22×C43—41no—
319C22×C43—41no—
320C22×C43—41no—
321C22×C43C2×C4×D411yescharacteristic
322C22×C43#53411yescharacteristic
323C22×C43#53511yescharacteristic
324C22×C43#57611yescharacteristic
325C22×C43#57711yescharacteristic
326C22×C43#57811yescharacteristic
327C22×C43#57811yescharacteristic
328C2×D43—42no—
329C2×D43—42no—
330C2×D43—42no—
331C2×D43—81no—
332C2×D43—81no—
333C2×D43—81no—
334C2×D43—81no—
335C4×C43—22no—
336C4×C43—42no—
337C4×C43—41no—
338C4×C43—41no—
339C4×C43—41no—
340C4×C43—41no—
341C4×C43—42no—
342C4×C43—81no—
343C4×C43—81no—
344C4×C43#51811yescharacteristic
345C4×C43#51811yescharacteristic
346C4×C43#53811yescharacteristic
347C4×C43#53811yescharacteristic
348Dic43—42no—
349Dic43—81no—
350Dic43—81no—
351C2×#452—431no—
352#2323D4311yescharacteristic, complemented
353#2311—431no—
354#1973—431no—
355#1969—431no—
356#1935—431no—
357#1934—431no—
358#1928—431no—
359#1925—431no—
360#1880—431no—
361#1878—431no—
362#1872—431no—
363#1852—431no—
364#1788—431no—
365#1750—431no—
366C2×C43—42no—
367C2×C43#232111yescharacteristic
368C2×C43#294711yescharacteristic
369C2×C43#295111yescharacteristic
370C2×C43#320111yescharacteristic
371C2×C43#320311yescharacteristic
372C2×C43#322311yescharacteristic
373C2×C43#322411yescharacteristic
374D43—82no—
375C22×#41—431no—
376C22×Q16—431no—
377C22×SD16—431no—
378C2×C22⋊Q8C2×D4311yescharacteristic
379C2×C4×Q8C2×D4311yescharacteristic
380C2×#117C2×D4311yescharacteristic
381C22×C4⋊C4—431no—
382#452—438no—
383C2×#107—431no—
384C2×#107—431no—
385C2×#103—431no—
386C2×#103—431no—
387C2×#103—431no—
388C2×#103—431no—
389C2×#103—431no—
390C2×#102—431no—
391C2×#102—431no—
392C2×#102—431no—
393C2×C22⋊C8—431no—
394C2×C22⋊C8—431no—
395C2×#97—431no—
396C2×C4×C8—431no—
397#391—431no—
398#391—431no—
399#391C2×D4311yescharacteristic
400#390—431no—
401#390—431no—
402#389—21no—
403#389C2×D4311yescharacteristic
404#388—21no—
405#388—21no—
406#387—21no—
407#386—861no—
408#386—861no—
409#380—861no—
410#380—861no—
411#380C2×D4311yescharacteristic
412C4×C4⋊C4C2×D4311yescharacteristic
413#340—431no—
414#340—431no—
415#340—431no—
416#340—431no—
417#336—431no—
418#336—431no—
419C43#2205711yescharacteristic, complemented, Sylow
420C2×#41—434no—
421C2×#41—862no—
422C2×#41—1721no—
423C2×#41—1721no—
424C2×#41—1721no—
425C2×#41—1721no—
426C22×Q8—431no—
427C22×Q8C22×D4311yescharacteristic
428C22×D4—431no—
429C22×D4—861no—
430C23×C4—861no—
431C23×C4—861no—
432C23×C4C22×D4311yescharacteristic
433C2×Q16—434no—
434C2×Q16—1721no—
435C2×Q16—1721no—
436C2×SD16—434no—
437C2×SD16—1721no—
438C2×SD16—1721no—
439C22×C8—431no—
440C22×C8—431no—
441C22×C8—431no—
442C22×C8—431no—
443C22⋊Q8—22no—
444C22⋊Q8C4×D4314yes—
445C4×Q8—41no—
446C4×Q8—41no—
447#117—41no—
448#117—41no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—431no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—861no—
455C2×C4⋊C4—1721no—
456C2×C4⋊C4—1721no—
457C2×C4⋊C4C22⋊D4311yescharacteristic
458C2×C4⋊C4C22⋊D4311yescharacteristic
459C2×C4⋊C4C22×D4311yescharacteristic
460C2×C4⋊C4C22×D4311yescharacteristic
461C2×C4⋊C4C22×D4311yescharacteristic
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—861no—
465C2×C22⋊C4—861no—
466C2×C22⋊C4—861no—
467C2×C22⋊C4—861no—
468C2×C22⋊C4C22⋊D4311yescharacteristic
469C2×C22⋊C4C22⋊D4311yescharacteristic
470C2×C42—21no—
471C2×C42—21no—
472C2×C42C22×D4311yescharacteristic
473C2×C42C22×D4311yescharacteristic
474#107—1721no—
475#107—1721no—
476#103—434no—
477#103—1721no—
478#103—1721no—
479#103—1721no—
480#103—1721no—
481#102—434no—
482#102—1721no—
483#102—1721no—
484C22⋊C8—434no—
485C22⋊C8—862no—
486#97—1721no—
487C4×C8—1721no—
488#95—21no—
489#95—21no—
490#95—21no—
491#95—21no—
492#95—21no—
493#95—861no—
494#95—861no—
495#95—861no—
496#95—861no—
497C24—861no—
498C24C2×C22⋊D4311yescharacteristic
499#41—1724no—
500#41—1724no—
501#41—1724no—
502#41—1724no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—432no—
509C2×Q8—861no—
510C2×Q8—861no—
511C2×Q8—861no—
512C2×Q8—861no—
513C2×Q8—861no—
514C2×Q8C2×C4×D4312yes—
515C2×D4—432no—
516C2×D4—864no—
517C2×D4—861no—
518C2×D4—861no—
519C2×D4—861no—
520C2×D4—861no—
521C2×D4—861no—
522C2×D4—1722no—
523C2×D4—1722no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—861no—
533C22×C4—864no—
534C22×C4—861no—
535C22×C4—861no—
536C22×C4—3441no—
537C22×C4—3441no—
538C22×C4—1722no—
539C22×C4—1722no—
540C22×C4—1722no—
541C22×C4C2×C4×D4312yes—
542C22×C4#1062189812yes—
543C22×C4C2×C22⋊D4311yescharacteristic
544C22×C4C2×C22⋊D4311yescharacteristic
545C22×C4C2×C22⋊D4311yescharacteristic
546C22×C4C2×C22⋊D4311yescharacteristic
547C22×C4C2×C22⋊D4311yescharacteristic
548C22×C4C23×D4311yescharacteristic
549Q16—1724no—
550SD16—1724no—
551C2×C8—432no—
552C2×C8—432no—
553C2×C8—861no—
554C2×C8—861no—
555C2×C8—861no—
556C2×C8—861no—
557C2×C8—861no—
558C2×C8—861no—
559C2×C8—861no—
560C2×C8—861no—
561C2×C8—861no—
562C2×C8—861no—
563C4⋊C4—24no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—41no—
570C4⋊C4—41no—
571C4⋊C4—42no—
572C4⋊C4—81no—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C4⋊C4—861no—
577C4⋊C4—1722no—
578C4⋊C4C2×C4×D4312yes—
579C22⋊C4—24no—
580C22⋊C4—41no—
581C22⋊C4—41no—
582C22⋊C4—81no—
583C22⋊C4—3441no—
584C22⋊C4—3441no—
585C22⋊C4—3441no—
586C22⋊C4—3441no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—42no—
592C42—81no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—862no—
600C23—1721no—
601C23—1721no—
602C23—1721no—
603C23—1721no—
604C23—1721no—
605C23—1721no—
606C23C4×C22⋊D4312yes—
607C23C22×C22⋊D4311yescharacteristic
608Q8—22no—
609Q8—22no—
610Q8—41no—
611Q8—41no—
612Q8—862no—
613Q8—862no—
614Q8—1721no—
615Q8—1721no—
616D4—862no—
617D4—862no—
618D4—1728no—
619D4—1721no—
620D4—1721no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—862no—
652C2×C4—3444no—
653C2×C4—1728no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4—1721no—
660C2×C4—1721no—
661C2×C4—1721no—
662C2×C4C4×C22⋊D4312yes—
663C2×C4C22×C4×D4311yescharacteristic
664C2×C4C2×#1062189811yescharacteristic
665C2×C4#1306337011yescharacteristic
666C2×C4#1306337011yescharacteristic
667C2×C4#1306337111yescharacteristic
668C2×C4#1306337111yescharacteristic
669C8—862no—
670C8—862no—
671C8—1721no—
672C8—1721no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—3441no—
681C22—3441no—
682C22—3441no—
683C22—3441no—
684C22—1722no—
685C22—1722no—
686C22—1722no—
687C22C2×C4×C22⋊D4311yescharacteristic
688C22#1458345811yescharacteristic
689C22#1458346311yescharacteristic
690C22#1458370211yescharacteristic
691C22#1458370711yescharacteristic
692C22#1458371411yescharacteristic
693C22#1458371411yescharacteristic
694C4—22no—
695C4—41no—
696C4—41no—
697C4—41no—
698C4—41no—
699C4—42no—
700C4—42no—
701C4—81no—
702C4—81no—
703C4—3441no—
704C4—3441no—
705C4—1722no—
706C4#1458337111yescharacteristic
707C4#1458337111yescharacteristic
708C4#1458348211yescharacteristic
709C4#1458348211yescharacteristic
710C2—42no—
711C2—3442no—
712C2#1913724911yescharacteristic
713C2#1914343811yescharacteristic
714C2#1914346811yescharacteristic
715C2#1914547711yescharacteristic
716C2#1914549211yescharacteristic
717C2#1914567211yescharacteristic
718C2#1914568311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#2323C2
socleC23×C43C22×D4
prime radicalC22×#10621898C22
cosocleC22×C4×C43C24
hypercenter#2323D43
hypocenterC43#22057
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2323

Complements

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

NH ≅ G/Ntype
3. #19135479C2semidirect
4. #19135455C2semidirect
5. #19135284C2semidirect
6. #19135277C2semidirect
7. #19135236C2semidirect
8. #19135215C2semidirect
9. #19134950C2semidirect
10. #19134936C2semidirect
11. #19134903C2semidirect
12. #19134782C2semidirect
14. #19134361C2semidirect
15. C43×#2323C2semidirect
20. #14583059C4semidirect
73. C2×#10621885C2×C4semidirect
76. C2×#10621884C2×C4semidirect
96. #13063248C2×C4semidirect
99. #13063245C2×C4semidirect
352. #2323D43semidirect
419. C43#22057semidirect

Maximal subgroups

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

subgroupindex
C2×#145830592
#191371832
#191354792
#191354552
#191352842
#191352772
#191352362
#191352152
#191349502
#191349362
#191349032
#191347822
#191345332
#191343612
C43×#23232
#2205743