Finite Group Databasebeta

← #217211

Subgroups — #217211

Order 512.

884 conjugacy classes of subgroups.

The subgroup lattice has 818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35271C211yesmaximal, characteristic
2#20814C211yesmaximal, characteristic, complemented
3#13945C211yesmaximal, characteristic, complemented
4#9913C211yesmaximal, characteristic, complemented
5#9910C211yesmaximal, characteristic, complemented
6#9715C211yesmaximal, characteristic
7#9712C211yesmaximal, characteristic
8#9118C211yesmaximal, characteristic, complemented
9#9118C211yesmaximal, characteristic, complemented
10#9114C211yesmaximal, characteristic, complemented
11#9114C211yesmaximal, characteristic, complemented
12#8577C211yesmaximal, characteristic, complemented
13#8575C211yesmaximal, characteristic, complemented
14#8573C211yesmaximal, characteristic, complemented
15#8571C211yesmaximal, characteristic, complemented
16C2×#432C2211yescharacteristic
17C2×#431C2211yescharacteristic
18#2856C2211yescharacteristic
19#2854C2211yescharacteristic
20#2854C2211yescharacteristic
21#2851C2211yescharacteristic
22#2647C411yescharacteristic, complemented
23#2644C411yescharacteristic, complemented
24#2644C411yescharacteristic, complemented
25#2641C411yescharacteristic, complemented
26#2531—21no—
27#2531—21no—
28#2526—21no—
29#2526—21no—
30#2444—21no—
31#2444—21no—
32#2425—21no—
33#2425—21no—
34#2330C411yescharacteristic, complemented
35#2328C411yescharacteristic, complemented
36#2319C411yescharacteristic, complemented
37#2319C411yescharacteristic, complemented
38C4×#121C2211yescharacteristic
39C4×#121C2211yescharacteristic
40C2×#376C2211yescharacteristic
41#1843—21no—
42#1832—21no—
43#1797C2211yescharacteristic
44#1797C2211yescharacteristic
45#1797C2211yescharacteristic
46#1797C2211yescharacteristic
47#1768—21no—
48#1768—21no—
49C2×#327C2211yescharacteristic
50C2×#327C2211yescharacteristic
51C2×#327C2211yescharacteristic
52C2×#327C2211yescharacteristic
53C2×#327C2211yescharacteristic
54C2×#327C2211yescharacteristic
55C2×#327C2211yescharacteristic
56C2×#327C2211yescharacteristic
57#1443—21no—
58#1442—21no—
59#1436—21no—
60C4⋊#95C2211yescharacteristic
61#1434—21no—
62#1434C2211yescharacteristic
63#1434C2211yescharacteristic
64#1434C2211yescharacteristic
65#1434C2211yescharacteristic
66C4×#95C2211yescharacteristic
67#1294C2211yescharacteristic
68#1294C2211yescharacteristic
69#1294C2211yescharacteristic
70#1294C2211yescharacteristic
71#1294C2211yescharacteristic
72#1294C2211yescharacteristic
73#1294C2211yescharacteristic
74#1294C2211yescharacteristic
75C2×#127C2×C411yescharacteristic
76C2×#125C2×C411yescharacteristic
77C2×#123—21no—
78C2×#123—21no—
79C2×#121—21no—
80C2×#121—21no—
81C2×#121C2311yescharacteristic
82C2×#121C2311yescharacteristic
83C2×C4×D4—21no—
84C2×C4×D4—21no—
85C2×C4×D4C2×C411yescharacteristic
86C2×C4×D4C2×C411yescharacteristic
87C22×C4⋊C4—21no—
88C22×C42—21no—
89C22×C42C2311yescharacteristic
90C22×C42C2311yescharacteristic
91C22×C42C2311yescharacteristic
92#432—41no—
93#432—41no—
94#431—41no—
95#431—41no—
96C2×C4⋊C8—21no—
97C2×C4⋊C8—21no—
98C2×C4⋊C8—21no—
99C2×C4⋊C8—21no—
100C2×C4⋊C8—21no—
101C2×C4⋊C8—21no—
102C2×C22⋊C8C2311yescharacteristic
103C2×C22⋊C8C2311yescharacteristic
104C2×C22⋊C8C2311yescharacteristic
105C2×C22⋊C8C2311yescharacteristic
106C2×#97—21no—
107C2×C4×C8—21no—
108#400—21no—
109#400—21no—
110#398—21no—
111#398—21no—
112#397—21no—
113#397—21no—
114#397—21no—
115#397—21no—
116#397—21no—
117#397—21no—
118#396—21no—
119#396—21no—
120#394—21no—
121#394—21no—
122#394—21no—
123#394—21no—
124#390—21no—
125#390—21no—
126#390C2×C411yescharacteristic
127#390C2×C411yescharacteristic
128#390C2×C411yescharacteristic
129#390C2×C411yescharacteristic
130#390C2×C411yescharacteristic
131#390C2×C411yescharacteristic
132#390C2×C411yescharacteristic
133#390C2×C411yescharacteristic
134#389—21no—
135#389—21no—
136#389C2×C411yescharacteristic
137#389C2×C411yescharacteristic
138#389C2×C411yescharacteristic
139#389C2×C411yescharacteristic
140#389C2×C411yescharacteristic
141#389C2×C411yescharacteristic
142#389C2×C411yescharacteristic
143#389C2×C411yescharacteristic
144#388—21no—
145#388—21no—
146#388—21no—
147#388—21no—
148#388—21no—
149#388—21no—
150#388—21no—
151#388—21no—
152#388—21no—
153#388—21no—
154#387—21no—
155#387—21no—
156#387—21no—
157#387—21no—
158#386—21no—
159#386—21no—
160#386—21no—
161#386—21no—
162#386—21no—
163#386—21no—
164#386—21no—
165#386—21no—
166#385—21no—
167#385—21no—
168#384C2×C411yescharacteristic
169#382C2×C411yescharacteristic
170#381—21no—
171#381—21no—
172#380—21no—
173#380—21no—
174#380C2311yescharacteristic
175#380C2311yescharacteristic
176C4×C4⋊C4C2×C411yescharacteristic
177C4×C4⋊C4C2×C411yescharacteristic
178C4×C22⋊C4—21no—
179C4×C22⋊C4—21no—
180#376C2×C411yescharacteristic
181#376C2×C411yescharacteristic
182#376C2×C411yescharacteristic
183#376C2×C411yescharacteristic
184#376D411yescharacteristic
185#376D411yescharacteristic
186#376D411yescharacteristic
187#376D411yescharacteristic
188C2×#95—21no—
189C2×#95—21no—
190C2×#95—21no—
191C2×#95—21no—
192C2×#95—21no—
193C2×#95—21no—
194C2×#95—21no—
195C2×#95—21no—
196C2×#95—21no—
197C2×#95—21no—
198C2×#95D411yescharacteristic
199C2×#95D411yescharacteristic
200C2×#95D411yescharacteristic
201C2×#95D411yescharacteristic
202C2×#95C2311yescharacteristic
203C2×#95C2311yescharacteristic
204C2×#95C2311yescharacteristic
205C2×#95C2311yescharacteristic
206#336—21no—
207#336—21no—
208#336—21no—
209#336—21no—
210#327—41no—
211#327—41no—
212#327—41no—
213#327—41no—
214#327—41no—
215#327—41no—
216#327—41no—
217#327—41no—
218C22×D4—21no—
219C22×D4—21no—
220C22×D4—21no—
221C22×D4—21no—
222C22×D4C22×C411yescharacteristic
223C22×D4C22×C411yescharacteristic
224C23×C4—21no—
225C23×C4—21no—
226C23×C4—21no—
227C23×C4—21no—
228C23×C4—21no—
229C23×C4—21no—
230C23×C4C2×D411yescharacteristic
231C23×C4C2×D411yescharacteristic
232C23×C4C2×D411yescharacteristic
233C23×C4C2×D411yescharacteristic
234C23×C4C2×D411yescharacteristic
235C23×C4C2×D411yescharacteristic
236C23×C4C2411yescharacteristic
237C22×C8—21no—
238C22×C8—21no—
239C22×C8—21no—
240C22×C8—21no—
241#127—42no—
242#125—42no—
243#123—81no—
244#123—81no—
245#123—81no—
246#123—81no—
247#121—21no—
248#121—21no—
249#121—21no—
250#121—21no—
251#121—21no—
252#121—21no—
253#121—21no—
254#121—21no—
255#121—81no—
256#121—81no—
257#121—81no—
258#121—81no—
259C4×D4—42no—
260C4×D4—42no—
261C4×D4—81no—
262C4×D4—81no—
263C4×D4—81no—
264C4×D4—81no—
265C2×C4⋊C4—21no—
266C2×C4⋊C4—21no—
267C2×C4⋊C4—21no—
268C2×C4⋊C4—21no—
269C2×C4⋊C4—21no—
270C2×C4⋊C4—21no—
271C2×C4⋊C4—21no—
272C2×C4⋊C4—21no—
273C2×C4⋊C4—21no—
274C2×C4⋊C4—21no—
275C2×C4⋊C4—21no—
276C2×C4⋊C4—21no—
277C2×C4⋊C4—42no—
278C2×C4⋊C4—42no—
279C2×C4⋊C4—81no—
280C2×C4⋊C4C22×C411yescharacteristic
281C2×C4⋊C4C22×C411yescharacteristic
282C2×C4⋊C4C22×C411yescharacteristic
283C2×C4⋊C4C22×C411yescharacteristic
284C2×C4⋊C4C22×C411yescharacteristic
285C2×C4⋊C4C22×C411yescharacteristic
286C2×C22⋊C4—21no—
287C2×C22⋊C4—21no—
288C2×C22⋊C4—21no—
289C2×C22⋊C4—21no—
290C2×C22⋊C4—21no—
291C2×C22⋊C4—21no—
292C2×C22⋊C4—21no—
293C2×C22⋊C4—21no—
294C2×C22⋊C4—21no—
295C2×C22⋊C4—21no—
296C2×C22⋊C4—21no—
297C2×C22⋊C4—21no—
298C2×C22⋊C4—21no—
299C2×C22⋊C4—21no—
300C2×C22⋊C4—21no—
301C2×C22⋊C4—21no—
302C2×C22⋊C4—21no—
303C2×C22⋊C4—21no—
304C2×C22⋊C4—21no—
305C2×C22⋊C4—21no—
306C2×C22⋊C4—21no—
307C2×C22⋊C4—21no—
308C2×C42—21no—
309C2×C42—21no—
310C2×C42—21no—
311C2×C42—21no—
312C2×C42—21no—
313C2×C42—21no—
314C2×C42—42no—
315C2×C42—42no—
316C2×C42—42no—
317C2×C42—42no—
318C2×C42—81no—
319C2×C42C22×C411yescharacteristic
320C2×C42C22×C411yescharacteristic
321C2×C42C22×C411yescharacteristic
322C2×C42C22×C411yescharacteristic
323C2×C42C22×C411yescharacteristic
324C2×C42C22×C411yescharacteristic
325C2×C42C2×D411yescharacteristic
326C2×C42C2×D411yescharacteristic
327C2×C42C2×D411yescharacteristic
328C2×C42C2×D411yescharacteristic
329C2×C42C2×D411yescharacteristic
330C2×C42C2×D411yescharacteristic
331C4⋊C8—42no—
332C4⋊C8—42no—
333C4⋊C8—42no—
334C4⋊C8—42no—
335C4⋊C8—42no—
336C4⋊C8—42no—
337C22⋊C8—21no—
338C22⋊C8—21no—
339C22⋊C8—21no—
340C22⋊C8—21no—
341C22⋊C8—21no—
342C22⋊C8—21no—
343C22⋊C8—21no—
344C22⋊C8—21no—
345#97—42no—
346C4×C8—42no—
347#95—21no—
348#95—21no—
349#95—21no—
350#95—21no—
351#95—21no—
352#95—21no—
353#95—21no—
354#95—21no—
355#95—21no—
356#95—21no—
357#95—21no—
358#95—21no—
359#95—21no—
360#95—21no—
361#95—21no—
362#95—21no—
363#95—21no—
364#95—21no—
365#95—21no—
366#95—21no—
367#95—21no—
368#95—21no—
369#95—42no—
370#95—42no—
371#95—42no—
372#95—42no—
373#95—42no—
374#95—42no—
375#95—81no—
376#95—81no—
377#95—81no—
378#95—81no—
379#95C22⋊C411yescharacteristic
380#95C22⋊C411yescharacteristic
381#95C22⋊C411yescharacteristic
382#95C22⋊C411yescharacteristic
383#95C22⋊C411yescharacteristic
384#95C22⋊C411yescharacteristic
385#95C22⋊C411yescharacteristic
386#95C22⋊C411yescharacteristic
387#95C22⋊C411yescharacteristic
388#95C22⋊C411yescharacteristic
389#95C22⋊C411yescharacteristic
390#95C22⋊C411yescharacteristic
391#95C22⋊C411yescharacteristic
392#95C22⋊C411yescharacteristic
393#95C22⋊C411yescharacteristic
394#95C22⋊C411yescharacteristic
395C24—21no—
396C24—21no—
397C24C22×D411yescharacteristic
398C2×D4—21no—
399C2×D4—21no—
400C2×D4—21no—
401C2×D4—21no—
402C2×D4—41no—
403C2×D4—41no—
404C2×D4—41no—
405C2×D4—41no—
406C2×D4—42no—
407C2×D4—41no—
408C2×D4—41no—
409C2×D4—41no—
410C2×D4—41no—
411C2×D4—41no—
412C2×D4—41no—
413C2×D4—41no—
414C2×D4—41no—
415C2×D4—41no—
416C2×D4—41no—
417C2×D4—41no—
418C2×D4—41no—
419C2×D4—42no—
420C2×D4—81no—
421C2×D4—81no—
422C2×D4—81no—
423C2×D4—81no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—41no—
451C22×C4—41no—
452C22×C4—41no—
453C22×C4—41no—
454C22×C4—41no—
455C22×C4—41no—
456C22×C4—41no—
457C22×C4—41no—
458C22×C4—41no—
459C22×C4—41no—
460C22×C4—42no—
461C22×C4—41no—
462C22×C4—41no—
463C22×C4—41no—
464C22×C4—41no—
465C22×C4—41no—
466C22×C4—41no—
467C22×C4—41no—
468C22×C4—41no—
469C22×C4—41no—
470C22×C4—41no—
471C22×C4—41no—
472C22×C4—41no—
473C22×C4—42no—
474C22×C4—41no—
475C22×C4—41no—
476C22×C4—41no—
477C22×C4—41no—
478C22×C4—41no—
479C22×C4—41no—
480C22×C4—41no—
481C22×C4—41no—
482C22×C4—41no—
483C22×C4—41no—
484C22×C4—41no—
485C22×C4—41no—
486C22×C4—41no—
487C22×C4—41no—
488C22×C4—81no—
489C22×C4—81no—
490C22×C4—81no—
491C22×C4—81no—
492C22×C4C2×C22⋊C411yescharacteristic
493C22×C4C2×C22⋊C411yescharacteristic
494C22×C4C2×C22⋊C411yescharacteristic
495C22×C4C2×C22⋊C411yescharacteristic
496C22×C4C2×C22⋊C411yescharacteristic
497C22×C4C2×C22⋊C411yescharacteristic
498C22×C4C2×C22⋊C411yescharacteristic
499C22×C4C2×C22⋊C411yescharacteristic
500C22×C4C2×C22⋊C411yescharacteristic
501C22×C4C2×C22⋊C411yescharacteristic
502C22×C4C2×C22⋊C411yescharacteristic
503C22×C4C2×C22⋊C411yescharacteristic
504C22×C4C23×C411yescharacteristic
505C22×C4C22×D411yescharacteristic
506C22×C4H(5,𝔽2)11yescharacteristic
507C22×C4H(5,𝔽2)11yescharacteristic
508C22×C42−1+411yescharacteristic
509C22×C42−1+411yescharacteristic
510C2×C8—41no—
511C2×C8—41no—
512C2×C8—41no—
513C2×C8—41no—
514C2×C8—41no—
515C2×C8—41no—
516C2×C8—41no—
517C2×C8—41no—
518C2×C8—41no—
519C2×C8—41no—
520C2×C8—41no—
521C2×C8—41no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—41no—
527C4⋊C4—41no—
528C4⋊C4—41no—
529C4⋊C4—41no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4—81no—
533C4⋊C4—81no—
534C4⋊C4—81no—
535C4⋊C4—81no—
536C4⋊C4—81no—
537C4⋊C4—81no—
538C4⋊C4—81no—
539C4⋊C4—81no—
540C4⋊C4—81no—
541C4⋊C4—81no—
542C4⋊C4—84no—
543C22⋊C4—42no—
544C22⋊C4—41no—
545C22⋊C4—41no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C22⋊C4—41no—
550C22⋊C4—41no—
551C22⋊C4—41no—
552C22⋊C4—42no—
553C22⋊C4—81no—
554C22⋊C4—81no—
555C22⋊C4—81no—
556C22⋊C4—81no—
557C22⋊C4—81no—
558C22⋊C4—81no—
559C22⋊C4—81no—
560C22⋊C4—81no—
561C22⋊C4—81no—
562C22⋊C4—81no—
563C22⋊C4—81no—
564C22⋊C4—81no—
565C22⋊C4—81no—
566C22⋊C4—81no—
567C22⋊C4—81no—
568C22⋊C4—81no—
569C42—21no—
570C42—21no—
571C42—21no—
572C42—21no—
573C42—21no—
574C42—21no—
575C42—21no—
576C42—21no—
577C42—22no—
578C42—22no—
579C42—22no—
580C42—22no—
581C42—41no—
582C42—41no—
583C42—41no—
584C42—41no—
585C42—81no—
586C42—81no—
587C42—84no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23C22×C22⋊C411yescharacteristic
607C23#53711yescharacteristic
608C23#53711yescharacteristic
609C23#57611yescharacteristic
610C23#57611yescharacteristic
611C23#57711yescharacteristic
612C23#57711yescharacteristic
613D4—81no—
614D4—81no—
615D4—81no—
616D4—81no—
617D4—81no—
618D4—81no—
619D4—81no—
620D4—81no—
621D4—81no—
622D4—81no—
623D4—81no—
624D4—81no—
625D4—162no—
626D4—162no—
627C2×C4—21no—
628C2×C4—21no—
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—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—81no—
702C2×C4—81no—
703C2×C4—81no—
704C2×C4—81no—
705C2×C4—81no—
706C2×C4—81no—
707C2×C4—81no—
708C2×C4—81no—
709C2×C4—81no—
710C2×C4—81no—
711C2×C4—81no—
712C2×C4—81no—
713C2×C4—81no—
714C2×C4—81no—
715C2×C4—81no—
716C2×C4—81no—
717C2×C4—81no—
718C2×C4—81no—
719C2×C4—81no—
720C2×C4—81no—
721C2×C4—81no—
722C2×C4—81no—
723C2×C4—81no—
724C2×C4—81no—
725C2×C4—81no—
726C2×C4—81no—
727C2×C4—81no—
728C2×C4—81no—
729C2×C4—162no—
730C2×C4—162no—
731C2×C4#41012yes—
732C2×C4#41012yes—
733C2×C4#52011yescharacteristic
734C2×C4#52011yescharacteristic
735C2×C4#53511yescharacteristic
736C2×C4#53611yescharacteristic
737C8—81no—
738C8—81no—
739C8—81no—
740C8—81no—
741C22—21no—
742C22—21no—
743C22—21no—
744C22—21no—
745C22—21no—
746C22—21no—
747C22—21no—
748C22—21no—
749C22—21no—
750C22—21no—
751C22—21no—
752C22—21no—
753C22—81no—
754C22—81no—
755C22—81no—
756C22—81no—
757C22—81no—
758C22—81no—
759C22—81no—
760C22—81no—
761C22—81no—
762C22—81no—
763C22—81no—
764C22—81no—
765C22—81no—
766C22—81no—
767C22#231111yescharacteristic
768C22C2×#41011yescharacteristic
769C22C2×#41011yescharacteristic
770C22#289711yescharacteristic
771C22#289711yescharacteristic
772C22#290111yescharacteristic
773C22#290111yescharacteristic
774C22#325711yescharacteristic
775C22#325711yescharacteristic
776C22#325911yescharacteristic
777C22#326011yescharacteristic
778C4—21no—
779C4—21no—
780C4—21no—
781C4—21no—
782C4—22no—
783C4—22no—
784C4—41no—
785C4—41no—
786C4—41no—
787C4—41no—
788C4—41no—
789C4—41no—
790C4—41no—
791C4—41no—
792C4—41no—
793C4—41no—
794C4—82no—
795C4—82no—
796C4—81no—
797C4—81no—
798C4—81no—
799C4—81no—
800C4—81no—
801C4—81no—
802C4—161no—
803C4—161no—
804C2—21no—
805C2—21no—
806C2—21no—
807C2—21no—
808C2—161no—
809C2—161no—
810C2#1760411yescharacteristic
811C2#1760411yescharacteristic
812C2#1760711yescharacteristic
813C2#1761011yescharacteristic
814C2#2185811yescharacteristic
815C2#2187511yescharacteristic
816C2#2189711yescharacteristic
subgroupG/H
center, socleC23C22×C22⋊C4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radical#2856C22
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ C2×#376 ◁ G
LECSG ▷ C23×C4 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #20814C2semidirect
3. #13945C2semidirect
4. #9913C2semidirect
5. #9910C2semidirect
8. #9118C2semidirect
9. #9118C2semidirect
10. #9114C2semidirect
11. #9114C2semidirect
12. #8577C2semidirect
13. #8575C2semidirect
14. #8573C2semidirect
15. #8571C2semidirect
22. #2647C4semidirect
23. #2644C4semidirect
24. #2644C4semidirect
25. #2641C4semidirect
34. #2330C4semidirect
35. #2328C4semidirect
36. #2319C4semidirect
37. #2319C4semidirect

Maximal subgroups

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

subgroupindex
#352712
#208142
#139452
#99132
#99102
#97152
#97122
#91182
#91142
#85772
#85752
#85732
#85712