Finite Group Databasebeta

← #25065098

Subgroups — #25065098

Order 11008.

940 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148507C211yesmaximal, characteristic
2#19143703C211yesmaximal, characteristic, complemented
3#19143256C211yesmaximal, characteristic, complemented
4#19133299C211yesmaximal, characteristic, complemented
5#19133298C211yesmaximal, characteristic, complemented
6#19133295C211yesmaximal, characteristic, complemented
7#19133292C211yesmaximal, characteristic, complemented
8#19133278C211yesmaximal, characteristic, complemented
9#19133271C211yesmaximal, characteristic, complemented
10#19133258C211yesmaximal, characteristic, complemented
11#19133243C211yesmaximal, characteristic, complemented
12#19133243C211yesmaximal, characteristic, complemented
13#19133242C211yesmaximal, characteristic, complemented
14#332×D43C211yesmaximal, characteristic, complemented
15C43×#1544C211yesmaximal, characteristic, complemented
16#14583621—21no—
17#14583612C412yes—
18#14583605C412yes—
19#14583602C412yes—
20#14583593C412yes—
21#14583561—21no—
22#14583559—21no—
23#14583551—21no—
24#14583522—21no—
25#14583521—21no—
26#14583479—21no—
27#14583454C2211yescharacteristic
28#14583450C2211yescharacteristic
29#14583450C2211yescharacteristic
30#14583449C2211yescharacteristic
31C4⋊Q8×D43C2211yescharacteristic
32#14583381—21no—
33C4×#10621898C2211yescharacteristic
34C8×Dic86—21no—
35C8×D172—21no—
36(C22⋊D43)⋊C8—21no—
37(C22⋊D43)⋊C8—21no—
38#14582958—21no—
39#14582957—21no—
40#14582956C2211yescharacteristic
41#14582955C2211yescharacteristic
42#14582951C2211yescharacteristic
43#14582951C2211yescharacteristic
44#14582951C2211yescharacteristic
45#14582921C2211yescharacteristic
46C2×C4⋊(C43⋊C8)C2211yescharacteristic
47C4⋊C8×D43C2211yescharacteristic
48C4⋊C8×D43C2211yescharacteristic
49C4⋊C8×D43C2211yescharacteristic
50#14582864—21no—
51#14582853—21no—
52#14582646C2211yescharacteristic
53#14582646C2211yescharacteristic
54#14582645C2211yescharacteristic
55#14582645C2211yescharacteristic
56#14582645C2211yescharacteristic
57#14582645C2211yescharacteristic
58#14582644C2211yescharacteristic
59#14582644C2211yescharacteristic
60#14582642C2211yescharacteristic
61#14582642C2211yescharacteristic
62#14582642C2211yescharacteristic
63#14582642C2211yescharacteristic
64C43×#533C2211yescharacteristic
65C43×#431C2211yescharacteristic
66C43×#431C2211yescharacteristic
67C43×#332C2211yescharacteristic
68C43×#332C2211yescharacteristic
69C43×#332C2211yescharacteristic
70C43×#332C2211yescharacteristic
71C2×#10621902—21no—
72C2×#10621902—21no—
73C2×#10621898—21no—
74C2×#10621898D411yescharacteristic
75C2×Q8×D43—21no—
76C2×#10621872—21no—
77C22×C43⋊C8—21no—
78C2×C8×D43—21no—
79C2×C8×D43—21no—
80C2×C8×D43—21no—
81#13063325C2311yescharacteristic
82#13063324—21no—
83#13063324C2×C412yes—
84#13063323—21no—
85#13063322C2311yescharacteristic
86#13063320—22no—
87#13063319—22no—
88#13063316C2×C412yes—
89#13063314—21no—
90#13063314—21no—
91#13063313—21no—
92#13063313—22no—
93#13063311—22no—
94#13063310—22no—
95#13063307—22no—
96#13063305—21no—
97#13063305—22no—
98#13063303—22no—
99#13063303—22no—
100#13063301—21no—
101#13063300—22no—
102#13063300—21no—
103#13063300—21no—
104#13063300C2×C412yes—
105#13063300C2×C412yes—
106#13063299—21no—
107#13063299C2×C412yes—
108#13063298—22no—
109#13063298—22no—
110Q8×Dic43—21no—
111C4×Dic86C2×C411yescharacteristic
112C4×Dic86D411yescharacteristic
113#13063290—21no—
114C4×D172—21no—
115C4×D172—22no—
116C4×D172C2×C411yescharacteristic
117C4×D172C2×C412yes—
118C4×D172D411yescharacteristic
119#13063287—22no—
120#13063287—21no—
121#13063287—21no—
122#13063287C2×C412yes—
123#13063287C2×C412yes—
124C4×C22⋊D43C2×C411yescharacteristic
125C4×C22⋊D43C2×C411yescharacteristic
126C4×C22⋊D43D411yescharacteristic
127C4×C22⋊D43D411yescharacteristic
128#13063284D411yescharacteristic
129#13063283C2×C412yes—
130#13063282—22no—
131#13063282D411yescharacteristic
132#13063282D411yescharacteristic
133C4⋊C4×D43—21no—
134C4⋊C4×D43—22no—
135C4⋊C4×D43C2×C412yes—
136C42×D43C2311yescharacteristic
137C42×D43C2311yescharacteristic
138C4⋊(C43⋊C8)—21no—
139C4⋊(C43⋊C8)C2311yescharacteristic
140C4⋊(C43⋊C8)C2311yescharacteristic
141C4⋊(C43⋊C8)C2311yescharacteristic
142C4⋊(C43⋊C8)C2311yescharacteristic
143Dic43⋊C8—21no—
144Dic43⋊C8—21no—
145Dic43⋊C8—21no—
146Dic43⋊C8—21no—
147C22⋊(C43⋊C8)—21no—
148(C2×D43)⋊C8—21no—
149(C2×D43)⋊C8—21no—
150(C2×D43)⋊C8—21no—
151(C2×D43)⋊C8—21no—
152#13063236—21no—
153#13063235—21no—
154C8×Dic43—21no—
155C8×Dic43—21no—
156C8×Dic43—21no—
157C4⋊Q8×C43C2311yescharacteristic
158C4⋊Q8×C43C2311yescharacteristic
159#125×C43C2×C412yes—
160C22⋊Q8×C43—21no—
161C22⋊Q8×C43—21no—
162C4×Q8×C43—21no—
163C4×Q8×C43—21no—
164#117×C43C2×C412yes—
165C2×C42×C43C2311yescharacteristic
166C4⋊C8×C43C2311yescharacteristic
167C4⋊C8×C43C2311yescharacteristic
168C4⋊C8×C43C2311yescharacteristic
169C4⋊C8×C43C2311yescharacteristic
170C22⋊C8×C43—21no—
171C22⋊C8×C43—21no—
172C4×C8×C43—21no—
173C4×C8×C43—21no—
174C2×Q8×C43—21no—
175C2×Q8×C43—21no—
176C22×C4×C43C22×C411yescharacteristic
177C22×C4×C43C2×D411yescharacteristic
178C22×C4×C43C2×D411yescharacteristic
179C2×C22⋊D43—22no—
180C2×C22⋊D43C22⋊C411yescharacteristic
181C2×C22⋊D43C22⋊C411yescharacteristic
182#10621902—42no—
183#10621902—42no—
184#10621902—81no—
185#10621902—81no—
186Q8×D43—81no—
187Q8×D43—81no—
188#10621898—22no—
189#10621898—22no—
190#10621898—81no—
191#10621898—81no—
192C2×D172—21no—
193C2×D172—21no—
194C2×D172—22no—
195C2×D172—22no—
196C2×D172C22⋊C411yescharacteristic
197C2×D172C22×C412yes—
198C2×C4×D43—22no—
199C2×C4×D43—22no—
200C2×C4×D43—22no—
201C2×C4×D43—22no—
202C2×C4×D43C22×C411yescharacteristic
203C2×C4×D43C22×C411yescharacteristic
204C2×C4×D43C2×D411yescharacteristic
205C2×C4×D43C2×D411yescharacteristic
206C2×C4×D43C2×D411yescharacteristic
207C2×C4×D43C2×D411yescharacteristic
208C2×Dic86—21no—
209C2×Dic86—22no—
210C2×Dic86C22⋊C411yescharacteristic
211C2×C8×C43—21no—
212C2×C8×C43—21no—
213C2×C8×C43—21no—
214C2×C8×C43—21no—
215C4⋊C4×C43—22no—
216C4⋊C4×C43—22no—
217C4⋊C4×C43—21no—
218C4⋊C4×C43—21no—
219C4⋊C4×C43C22×C412yes—
220C4⋊C4×C43C22×C412yes—
221C22⋊C4×C43—22no—
222C42×C43—22no—
223C42×C43C22×C411yescharacteristic
224C42×C43C2×D411yescharacteristic
225C42×C43C2×D411yescharacteristic
226C42×C43C2411yescharacteristic
227C22⋊Dic43C22⋊C411yescharacteristic
228C22⋊Dic43C22⋊C411yescharacteristic
229(C2×D43)⋊C4—22no—
230(C2×D43)⋊C4—22no—
231(C2×D43)⋊C4—22no—
232(C2×D43)⋊C4—22no—
233(C2×D43)⋊C4—22no—
234(C2×D43)⋊C4—22no—
235(C2×D43)⋊C4—22no—
236(C2×D43)⋊C4C22⋊C411yescharacteristic
237(C2×D43)⋊C4C22⋊C411yescharacteristic
238(C2×D43)⋊C4C22⋊C411yescharacteristic
239(C2×D43)⋊C4C22⋊C411yescharacteristic
240C4⋊Dic43—21no—
241C4⋊Dic43—22no—
242C4⋊Dic43C22⋊C411yescharacteristic
243C4⋊Dic43C22⋊C411yescharacteristic
244C4⋊Dic43C22×C412yes—
245Dic43⋊C4—22no—
246Dic43⋊C4—22no—
247Dic43⋊C4—22no—
248Dic43⋊C4C22⋊C411yescharacteristic
249Dic43⋊C4C22⋊C411yescharacteristic
250Dic43⋊C4C22⋊C411yescharacteristic
251Dic43⋊C4C22⋊C411yescharacteristic
252C4×Dic43—22no—
253C4×Dic43C22×C411yescharacteristic
254C4×Dic43C22×C411yescharacteristic
255C4×Dic43C2×D411yescharacteristic
256C4×Dic43C2×D411yescharacteristic
257C4×Dic43C2×D411yescharacteristic
258C4×Dic43C2×D411yescharacteristic
259C2×C43⋊C8—21no—
260C2×C43⋊C8—21no—
261C2×C43⋊C8—21no—
262C2×C43⋊C8—21no—
263C2×C43⋊C8—81no—
264#10621872—42no—
265C8×D43—42no—
266C8×D43—81no—
267C8×D43—81no—
268C23×C43C2×C22⋊C411yescharacteristic
269C22×D43—22no—
270C22×D43C2×C22⋊C411yescharacteristic
271C22×D43C2×C22⋊C411yescharacteristic
272Q8×C43—41no—
273Q8×C43—41no—
274Q8×C43—41no—
275Q8×C43—41no—
276C2×C4×C43—21no—
277C2×C4×C43—21no—
278C2×C4×C43—21no—
279C2×C4×C43—21no—
280C2×C4×C43—22no—
281C2×C4×C43—22no—
282C2×C4×C43—41no—
283C2×C4×C43C2×C22⋊C411yescharacteristic
284C2×C4×C43C2×C22⋊C411yescharacteristic
285C2×C4×C43C2×C22⋊C411yescharacteristic
286C2×C4×C43C23×C411yescharacteristic
287C2×C4×C43C22×D411yescharacteristic
288C2×C4×C43C22×D411yescharacteristic
289C22⋊D43—22no—
290C22⋊D43—22no—
291C22⋊D43—82no—
292C2×Dic43—22no—
293C2×Dic43C2×C22⋊C411yescharacteristic
294C2×Dic43C2×C22⋊C411yescharacteristic
295C2×Dic43C2×C22⋊C411yescharacteristic
296C2×Dic43C2×C22⋊C411yescharacteristic
297C2×Dic43C2×C22⋊C411yescharacteristic
298C2×Dic43C2×C22⋊C411yescharacteristic
299D172—22no—
300D172—42no—
301D172—44no—
302D172—41no—
303D172—41no—
304D172—41no—
305D172—41no—
306D172—82no—
307C4×D43—21no—
308C4×D43—21no—
309C4×D43—21no—
310C4×D43—21no—
311C4×D43—21no—
312C4×D43—21no—
313C4×D43—41no—
314C4×D43—41no—
315C4×D43—44no—
316C4×D43—82no—
317C4×D43—82no—
318C4×D43—82no—
319C4×D43#13512yes—
320C4×D43#13512yes—
321Dic86—22no—
322Dic86—41no—
323Dic86—41no—
324Dic86—82no—
325C8×C43—41no—
326C8×C43—41no—
327C8×C43—41no—
328C8×C43—41no—
329C43⋊C8—41no—
330C43⋊C8—41no—
331C43⋊C8—41no—
332C43⋊C8—41no—
333#17727—431nomaximal, Sylow
334C22×C43—21no—
335C22×C43—21no—
336C22×C43—21no—
337C22×C43C22×C22⋊C411yescharacteristic
338C2×D43—21no—
339C2×D43—21no—
340C2×D43—21no—
341C2×D43—21no—
342C2×D43—21no—
343C2×D43—42no—
344C2×D43—42no—
345C2×D43—42no—
346C2×D43#41612yes—
347C4×C43—21no—
348C4×C43—21no—
349C4×C43—21no—
350C4×C43—21no—
351C4×C43—42no—
352C4×C43—42no—
353C4×C43C2×#13511yescharacteristic
354C4×C43C2×#13511yescharacteristic
355C4×C43#57611yescharacteristic
356C4×C43#57711yescharacteristic
357Dic43—21no—
358Dic43—21no—
359Dic43—21no—
360Dic43—21no—
361Dic43—21no—
362Dic43—42no—
363Dic43#41612yes—
364#3511—431no—
365#2988—431no—
366#2925—431no—
367#1553—431no—
368#1553—431no—
369#1552—431no—
370#1552—431no—
371#1549—431no—
372#1547—431no—
373#1544—431no—
374#1544D4311yescharacteristic, complemented
375#1540—431no—
376#1540—431no—
377#1540—431no—
378C2×#332—431no—
379C2×C43—41no—
380C2×C43#288911yescharacteristic
381C2×C43C2×#41611yescharacteristic
382C2×C43#289711yescharacteristic
383D43—22no—
384D43—41no—
385D43—82no—
386#556—861no—
387#555—432no—
388#554—432no—
389#553—432no—
390#553—432no—
391#548—861no—
392#548—861no—
393#547—861no—
394#542—861no—
395#542—861no—
396#537—861no—
397#533—431no—
398#533C2×D4311yescharacteristic
399#532—431no—
400#532—431no—
401#532—431no—
402C2×C4⋊Q8—431no—
403#520—861no—
404C4×#41—431no—
405C8×Q8—861no—
406C8×D4—861no—
407C8×D4—861no—
408C8×D4—861no—
409#433—861no—
410#433—861no—
411#432—431no—
412#432—431no—
413#431—431no—
414#431—431no—
415#431—431no—
416#431C2×D4311yescharacteristic
417#431C2×D4311yescharacteristic
418#423—431no—
419C2×C4⋊C8—431no—
420C2×C4⋊C8—431no—
421C2×C4⋊C8—431no—
422C2×C4⋊C8—431no—
423#408—861no—
424#405—861no—
425#332—431no—
426#332—431no—
427#332—431no—
428#332—431no—
429#332—431no—
430#332—431no—
431#332—431no—
432#332—431no—
433#332C2×D4311yescharacteristic
434#332C2×D4311yescharacteristic
435#332C2×D4311yescharacteristic
436#332C2×D4311yescharacteristic
437#331—431no—
438#331—431no—
439#331—431no—
440#331—431no—
441C43#1772711yescharacteristic, complemented, Sylow
442C2×#41—431no—
443C2×#41—861no—
444C2×#41—861no—
445C2×#41—861no—
446C22×Q8—861no—
447C2×M16—861no—
448C22×C8—861no—
449C22×C8—861no—
450C22×C8—861no—
451C22×C8—861no—
452C4⋊Q8—432no—
453C4⋊Q8—431no—
454C4⋊Q8—861no—
455C4⋊Q8—861no—
456C4⋊Q8C22×D4311yescharacteristic
457C4⋊Q8C22×D4311yescharacteristic
458#127—431no—
459#126—862no—
460#126—862no—
461#125—432no—
462#125C4×D4312yes—
463#124—862no—
464#124—861no—
465#124—861no—
466#124—862no—
467#124—861no—
468#123—862no—
469#123—862no—
470C22⋊Q8—21no—
471C22⋊Q8—21no—
472C22⋊Q8—862no—
473C22⋊Q8—862no—
474C22⋊Q8—861no—
475C22⋊Q8—862no—
476C22⋊Q8—861no—
477#121—432no—
478#121—432no—
479#121—432no—
480#121—862no—
481#121—862no—
482#121—861no—
483#121—861no—
484#121—862no—
485#121—861no—
486C4×Q8—21no—
487C4×Q8—21no—
488C4×Q8—431no—
489C4×Q8—431no—
490C4×Q8—861no—
491C4×Q8—861no—
492C4×D4—431no—
493C4×D4—431no—
494C4×D4—431no—
495C4×D4—431no—
496C4×D4—432no—
497C4×D4—432no—
498C4×D4—431no—
499C4×D4—432no—
500C4×D4—431no—
501C4×D4—862no—
502C4×D4—861no—
503C4×D4—861no—
504C4×D4—862no—
505C4×D4—861no—
506#117—431no—
507#117—431no—
508#117—431no—
509#117—432no—
510#117—862no—
511#117C4×D4312yes—
512C2×C4⋊C4—432no—
513C2×C4⋊C4—862no—
514C2×C4⋊C4—861no—
515C2×C42—431no—
516C2×C42—431no—
517C2×C42C22×D4311yescharacteristic
518C4⋊C8—431no—
519C4⋊C8—431no—
520C4⋊C8—431no—
521C4⋊C8—431no—
522C4⋊C8—861no—
523C4⋊C8—861no—
524C4⋊C8—861no—
525C4⋊C8—861no—
526C4⋊C8—861no—
527C4⋊C8C22×D4311yescharacteristic
528C4⋊C8C22×D4311yescharacteristic
529C4⋊C8C22×D4311yescharacteristic
530C4⋊C8C22×D4311yescharacteristic
531C22⋊C8—21no—
532C22⋊C8—21no—
533C22⋊C8—861no—
534C22⋊C8—861no—
535C22⋊C8—861no—
536C22⋊C8—861no—
537C22⋊C8—861no—
538#97—861no—
539#97—861no—
540C4×C8—21no—
541C4×C8—21no—
542C4×C8—861no—
543C4×C8—861no—
544C4×C8—861no—
545#41—862no—
546#41—862no—
547#41—3441no—
548#41—3441no—
549#41—3441no—
550#41—3441no—
551#41—1722no—
552#41—1722no—
553C2×Q8—21no—
554C2×Q8—21no—
555C2×Q8—431no—
556C2×Q8—862no—
557C2×Q8—861no—
558C2×Q8—3441no—
559C2×Q8—3441no—
560C2×D4—431no—
561C2×D4—431no—
562C2×D4—431no—
563C2×D4—432no—
564C2×D4—862no—
565C2×D4—862no—
566C2×D4—862no—
567C2×D4—861no—
568C2×D4—861no—
569C22×C4—431no—
570C22×C4—431no—
571C22×C4—431no—
572C22×C4—431no—
573C22×C4—431no—
574C22×C4—431no—
575C22×C4—862no—
576C22×C4—862no—
577C22×C4—862no—
578C22×C4—862no—
579C22×C4C2×C4×D4311yescharacteristic
580C22×C4D4×D4311yescharacteristic
581C22×C4D4×D4311yescharacteristic
582M16—1722no—
583C2×C8—21no—
584C2×C8—21no—
585C2×C8—21no—
586C2×C8—21no—
587C2×C8—861no—
588C2×C8—861no—
589C2×C8—861no—
590C2×C8—861no—
591C2×C8—3441no—
592C2×C8—3441no—
593C2×C8—3441no—
594C2×C8—1722no—
595C4⋊C4—22no—
596C4⋊C4—22no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—431no—
600C4⋊C4—431no—
601C4⋊C4—431no—
602C4⋊C4—431no—
603C4⋊C4—431no—
604C4⋊C4—431no—
605C4⋊C4—432no—
606C4⋊C4—862no—
607C4⋊C4—862no—
608C4⋊C4—862no—
609C4⋊C4—862no—
610C4⋊C4—861no—
611C4⋊C4C2×C4×D4312yes—
612C4⋊C4C2×C4×D4312yes—
613C22⋊C4—22no—
614C22⋊C4—431no—
615C22⋊C4—431no—
616C22⋊C4—431no—
617C22⋊C4—431no—
618C22⋊C4—431no—
619C22⋊C4—431no—
620C22⋊C4—862no—
621C22⋊C4—862no—
622C22⋊C4—862no—
623C22⋊C4—862no—
624C22⋊C4—862no—
625C22⋊C4—862no—
626C22⋊C4—862no—
627C42—22no—
628C42—431no—
629C42—431no—
630C42—431no—
631C42—431no—
632C42—431no—
633C42—431no—
634C42—862no—
635C42C2×C4×D4311yescharacteristic
636C42D4×D4311yescharacteristic
637C42D4×D4311yescharacteristic
638C42C23×D4311yescharacteristic
639C23—431no—
640C23—431no—
641C23—862no—
642C23C22⋊C4×D4311yescharacteristic
643Q8—41no—
644Q8—41no—
645Q8—41no—
646Q8—41no—
647Q8—862no—
648Q8—3442no—
649Q8—1721no—
650Q8—1721no—
651D4—862no—
652D4—862no—
653D4—862no—
654D4—3442no—
655D4—3442no—
656D4—1722no—
657D4—1724no—
658D4—1721no—
659D4—1721no—
660D4—1721no—
661D4—1721no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—41no—
669C2×C4—431no—
670C2×C4—432no—
671C2×C4—432no—
672C2×C4—431no—
673C2×C4—431no—
674C2×C4—431no—
675C2×C4—431no—
676C2×C4—431no—
677C2×C4—861no—
678C2×C4—861no—
679C2×C4—861no—
680C2×C4—861no—
681C2×C4—861no—
682C2×C4—861no—
683C2×C4—862no—
684C2×C4—3442no—
685C2×C4—3442no—
686C2×C4—3442no—
687C2×C4—1721no—
688C2×C4—1721no—
689C2×C4—1724no—
690C2×C4C22⋊C4×D4311yescharacteristic
691C2×C4C22⋊C4×D4311yescharacteristic
692C2×C4C22⋊C4×D4311yescharacteristic
693C2×C4C22×C4×D4311yescharacteristic
694C2×C4C2×D4×D4311yescharacteristic
695C2×C4C2×D4×D4311yescharacteristic
696C8—41no—
697C8—41no—
698C8—41no—
699C8—41no—
700C8—1721no—
701C8—1721no—
702C8—1721no—
703C8—1721no—
704C22—21no—
705C22—21no—
706C22—21no—
707C22—432no—
708C22—861no—
709C22—861no—
710C22—861no—
711C22—861no—
712C22—861no—
713C22—1722no—
714C22—1722no—
715C22—1722no—
716C22C2×C22⋊C4×D4311yescharacteristic
717C4—21no—
718C4—21no—
719C4—21no—
720C4—21no—
721C4—42no—
722C4—42no—
723C4—432no—
724C4—861no—
725C4—861no—
726C4—861no—
727C4—861no—
728C4—861no—
729C4—1722no—
730C4#135×D4311yescharacteristic
731C4#135×D4311yescharacteristic
732C4#1458370111yescharacteristic
733C4#1458370611yescharacteristic
734C2—41no—
735C2—862no—
736C2—3442no—
737C2—1721no—
738C2#1914307511yescharacteristic
739C2#416×D4311yescharacteristic
740C2#1914311711yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D43
commutatorC2×C4×C43C23×C4
FrattiniC42C23×D43
FittingC43×#1544C2
socleC22×C43C22×C22⋊C4
prime radical#19148507C2
cosocleC42×C43C24
hypercenter#1544D43
hypocenterC43#17727
LCSG ▷ C2×C4×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1544

Complements

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

NH ≅ G/Ntype
2. #19143703C2semidirect
3. #19143256C2semidirect
4. #19133299C2semidirect
5. #19133298C2semidirect
6. #19133295C2semidirect
7. #19133292C2semidirect
8. #19133278C2semidirect
9. #19133271C2semidirect
10. #19133258C2semidirect
11. #19133243C2semidirect
12. #19133243C2semidirect
13. #19133242C2semidirect
14. #332×D43C2semidirect
15. C43×#1544C2semidirect
374. #1544D43semidirect
441. C43#17727semidirect

Maximal subgroups

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

subgroupindex
#191485072
#191437032
#191432562
#191332992
#191332982
#191332952
#191332922
#191332782
#191332712
#191332582
#191332432
#191332422
#332×D432
C43×#15442
#1772743