Finite Group Databasebeta

← #6497354

Subgroups — #6497354

Order 512.

1734 conjugacy classes of subgroups.

The subgroup lattice has 773 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35317C211yesmaximal, characteristic
2#35294C211yesmaximal, characteristic, complemented
3#33294C211yesmaximal, characteristic, complemented
4#33289C211yesmaximal, characteristic, complemented
5#33286C211yesmaximal, characteristic, complemented
6#33277C211yesmaximal, characteristic, complemented
7#30230C211yesmaximal, characteristic, complemented
8#30228C211yesmaximal, characteristic, complemented
9#30204C211yesmaximal, characteristic, complemented
10#30203C211yesmaximal, characteristic, complemented
11#27830C214yesmaximal, complemented
12#27744C214yesmaximal, complemented
13#27719C214yesmaximal, complemented
14#27709C214yesmaximal, complemented
15#21863C211yesmaximal, characteristic
16#21834C211yesmaximal, characteristic, complemented
17#21410C211yesmaximal, characteristic
18#21324C211yesmaximal, characteristic, complemented
19#20472C211yesmaximal, characteristic, complemented
20C2×#536—21no—
21C2×#536—21no—
22C2×#532C2211yescharacteristic
23C22×C4⋊Q8C2211yescharacteristic
24C2×#431C2211yescharacteristic
25C2×C4×M16C2211yescharacteristic
26#2868C2211yescharacteristic
27#2868C2211yescharacteristic
28#2868C2211yescharacteristic
29#2859C2211yescharacteristic
30#2859C2211yescharacteristic
31#2859C2211yescharacteristic
32#2858C2211yescharacteristic
33#2858C2211yescharacteristic
34#2658—21no—
35#2658—21no—
36#2629—21no—
37#2628—21no—
38#2570—21no—
39#2570C2212yes—
40#2550—21no—
41#2550C2212yes—
42#2542—21no—
43#2542—21no—
44#2542C2212yes—
45#2542C2212yes—
46#2501—21no—
47#2501—21no—
48#2501C2212yes—
49#2501C2212yes—
50#2441—21no—
51#2441C2212yes—
52#2439—21no—
53#2439C2212yes—
54#2331—21no—
55#2330—21no—
56#2285C2211yescharacteristic
57#2285C2211yescharacteristic
58C4×#117C2211yescharacteristic
59#2100C2214yes—
60#2100C2214yes—
61#2099C2214yes—
62#2099C2214yes—
63#2073C2214yes—
64#2071C2214yes—
65#2025C2214yes—
66#2023C2214yes—
67#1993C2214yes—
68#1992C2214yes—
69#1990C2211yescharacteristic
70#1990C2211yescharacteristic
71#1990C2211yescharacteristic
72#1990C2211yescharacteristic
73#1990C2214yes—
74#1990C2211yescharacteristic
75#1990C2211yescharacteristic
76#1990C2211yescharacteristic
77#1990C2211yescharacteristic
78#1990C2211yescharacteristic
79#1990C2211yescharacteristic
80#1990C2211yescharacteristic
81#1990C2211yescharacteristic
82#1987C2214yes—
83#1957C2211yescharacteristic
84#1957C2211yescharacteristic
85#1957C2211yescharacteristic
86#1957C2211yescharacteristic
87#1936C2214yes—
88#1936C2214yes—
89#1934C2214yes—
90#1934C2214yes—
91#1895C2214yes—
92#1875C2214yes—
93#1836C2214yes—
94#1834C2214yes—
95#1824C2214yes—
96#1804C2214yes—
97#1771C2212yes—
98#1771C2212yes—
99#1762C2214yes—
100#1753C2212yes—
101#1753C2212yes—
102#1744C2211yescharacteristic
103#1744C2211yescharacteristic
104#1736C2214yes—
105C4×#97C2211yescharacteristic
106C42×C8C2211yescharacteristic
107C22×#41—21no—
108C23×Q8—21no—
109C22×M16C2312yes—
110#536—48no—
111#536—48no—
112#532—24no—
113#532—24no—
114C2×C4⋊Q8—21no—
115C2×C4⋊Q8—21no—
116C2×C4⋊Q8—21no—
117C2×C4⋊Q8—21no—
118C2×C4⋊Q8—21no—
119C2×C4⋊Q8—21no—
120C2×C4⋊Q8—21no—
121C2×C4⋊Q8—21no—
122C2×C4⋊Q8—24no—
123C2×C4⋊Q8—24no—
124C2×C4⋊Q8C2311yescharacteristic
125C2×C4⋊Q8C2311yescharacteristic
126C2×C4⋊Q8C2311yescharacteristic
127C2×C4⋊Q8C2312yes—
128C2×C4⋊Q8C2312yes—
129C2×#127C2311yescharacteristic
130C2×#125—21no—
131C2×#125—21no—
132C2×#125C2312yes—
133C2×#124—21no—
134C2×#124—21no—
135C2×#124—21no—
136C2×#124—21no—
137C2×#124—21no—
138C2×#123—22no—
139C2×#123—22no—
140C2×#123—22no—
141C2×#123—22no—
142C2×C22⋊Q8—22no—
143C2×C22⋊Q8—22no—
144C2×C22⋊Q8—22no—
145C2×C22⋊Q8—22no—
146C2×#121—21no—
147C2×#121C2312yes—
148C2×C4×D4—21no—
149C2×C4×D4C2312yes—
150C2×#117—21no—
151C2×#117D411yescharacteristic
152C2×#117D411yescharacteristic
153C2×#117C2312yes—
154C22×C4⋊C4—21no—
155C22×C4⋊C4C2312yes—
156C22×C42C2311yescharacteristic
157#431—24no—
158C2×C4⋊C8C2312yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×C22⋊C8C2312yes—
164C4×M16—24no—
165C2×#97C2312yes—
166C2×#97C2312yes—
167C2×#97C2312yes—
168C2×C4×C8C2312yes—
169C2×C4×C8C2311yescharacteristic
170C2×C4×C8C2311yescharacteristic
171C2×C4×C8C2311yescharacteristic
172C2×C4×C8C2311yescharacteristic
173C2×C4×C8C2312yes—
174#400—22no—
175#399—22no—
176#399—22no—
177#399—22no—
178#399—22no—
179#399—22no—
180#399—22no—
181#399—22no—
182#399—22no—
183#399—22no—
184#398—22no—
185#398—22no—
186#396—22no—
187#396—22no—
188#395—22no—
189#393—22no—
190#391—22no—
191#391—22no—
192#390—21no—
193#390—21no—
194#390—21no—
195#390—21no—
196#390C2312yes—
197#390C2312yes—
198#390C2312yes—
199#390C2312yes—
200#389—21no—
201#389—21no—
202#389—21no—
203#389—21no—
204#389—21no—
205#389—21no—
206#389—21no—
207#389—21no—
208#389—22no—
209#389—22no—
210#389C2312yes—
211#389C2312yes—
212#389C2312yes—
213#389C2312yes—
214#387—22no—
215#387—22no—
216#387—22no—
217#387—22no—
218#384—21no—
219#384—21no—
220#384—21no—
221#384—21no—
222#384—21no—
223#384—21no—
224#384C2312yes—
225#384C2312yes—
226#384C2311yescharacteristic
227#384C2311yescharacteristic
228#384C2311yescharacteristic
229#384C2311yescharacteristic
230#384C2312yes—
231#384C2312yes—
232#384C2312yes—
233#382—21no—
234#382—21no—
235#382—21no—
236#382C2312yes—
237#382C2312yes—
238#380—21no—
239#380—21no—
240#380—21no—
241#380C2312yes—
242C4×C4⋊C4—21no—
243C4×C4⋊C4—21no—
244C4×C4⋊C4—21no—
245C4×C4⋊C4D411yescharacteristic
246C4×C4⋊C4D411yescharacteristic
247C4×C4⋊C4C2312yes—
248C4×C4⋊C4C2311yescharacteristic
249C4×C4⋊C4C2311yescharacteristic
250C4×C22⋊C4D411yescharacteristic
251C4×C22⋊C4D411yescharacteristic
252C4×C22⋊C4C2311yescharacteristic
253C4×C22⋊C4C2311yescharacteristic
254#376D411yescharacteristic
255#376D411yescharacteristic
256C43C2311yescharacteristic
257C43C2311yescharacteristic
258#340C2314yes—
259#340C2314yes—
260#340C2314yes—
261#340C2314yes—
262#340C2314yes—
263#340C2314yes—
264#340C2314yes—
265#340C2314yes—
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#336C2312yes—
271#336C2312yes—
272#336C2312yes—
273#336C2312yes—
274C2×#41—44no—
275C2×#41—44no—
276C2×#41—44no—
277C22×Q8—22no—
278C22×Q8—21no—
279C22×Q8—21no—
280C22×Q8—21no—
281C22×Q8—22no—
282C22×Q8—44no—
283C22×Q8—44no—
284C22×Q8—44no—
285C22×D4—22no—
286C22×D4—21no—
287C22×D4—21no—
288C22×D4C2412yes—
289C23×C4—22no—
290C23×C4—22no—
291C23×C4C2×D411yescharacteristic
292C23×C4C2×D411yescharacteristic
293C23×C4C2411yescharacteristic
294C2×M16—24no—
295C2×M16—24no—
296C2×M16—42no—
297C22×C8C2412yes—
298C22×C8C2412yes—
299C22×C8C2412yes—
300C22×C8C2412yes—
301C4⋊Q8—22no—
302C4⋊Q8—22no—
303C4⋊Q8—22no—
304C4⋊Q8—22no—
305C4⋊Q8—24no—
306C4⋊Q8—24no—
307C4⋊Q8—22no—
308C4⋊Q8—22no—
309C4⋊Q8—44no—
310C4⋊Q8—44no—
311C4⋊Q8—44no—
312C4⋊Q8—44no—
313C4⋊Q8—44no—
314C4⋊Q8—44no—
315C4⋊Q8—44no—
316C4⋊Q8—44no—
317C4⋊Q8—82no—
318#127—22no—
319#127—22no—
320#125—44no—
321#125—44no—
322#125—82no—
323#124—44no—
324#124—44no—
325#124—44no—
326#124—44no—
327#124—44no—
328#123—48no—
329#123—48no—
330#123—48no—
331#123—48no—
332C22⋊Q8—48no—
333C22⋊Q8—48no—
334C22⋊Q8—48no—
335C22⋊Q8—48no—
336#121—24no—
337#121—24no—
338#121—44no—
339C4×D4—24no—
340C4×D4—24no—
341C4×D4—44no—
342#117—24no—
343#117—24no—
344#117—44no—
345#117—82no—
346C2×C4⋊C4—24no—
347C2×C4⋊C4—24no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—21no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—21no—
370C2×C4⋊C4—22no—
371C2×C4⋊C4—21no—
372C2×C4⋊C4—22no—
373C2×C4⋊C4—22no—
374C2×C4⋊C4—22no—
375C2×C4⋊C4—22no—
376C2×C4⋊C4—22no—
377C2×C4⋊C4—22no—
378C2×C4⋊C4—44no—
379C2×C4⋊C4C2×D411yescharacteristic
380C2×C4⋊C4C2×D411yescharacteristic
381C2×C4⋊C4C2×D411yescharacteristic
382C2×C4⋊C4C2×D411yescharacteristic
383C2×C4⋊C4C2412yes—
384C2×C4⋊C4C2412yes—
385C2×C4⋊C4C2412yes—
386C2×C4⋊C4C2412yes—
387C2×C4⋊C4C2412yes—
388C2×C4⋊C4C2412yes—
389C2×C4⋊C4C2412yes—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—22no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—22no—
395C2×C22⋊C4—22no—
396C2×C22⋊C4—22no—
397C2×C22⋊C4—22no—
398C2×C22⋊C4—22no—
399C2×C22⋊C4—22no—
400C2×C22⋊C4—22no—
401C2×C22⋊C4—22no—
402C2×C22⋊C4C2×D411yescharacteristic
403C2×C22⋊C4C2×D411yescharacteristic
404C2×C22⋊C4C2×D411yescharacteristic
405C2×C22⋊C4C2×D411yescharacteristic
406C2×C42—22no—
407C2×C42—22no—
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2×D411yescharacteristic
413C2×C42C2×D411yescharacteristic
414C2×C42C2×D411yescharacteristic
415C2×C42C2×D411yescharacteristic
416C2×C42C2×D411yescharacteristic
417C2×C42C2×D411yescharacteristic
418C2×C42#4114yes—
419C2×C42#4114yes—
420C2×C42C2411yescharacteristic
421C2×C42C2411yescharacteristic
422C2×C42C2411yescharacteristic
423C2×C42C2411yescharacteristic
424C2×C42C2411yescharacteristic
425C2×C42C2411yescharacteristic
426C4⋊C8—24no—
427#102—28no—
428#102—44no—
429#102—44no—
430#102—44no—
431C22⋊C8—24no—
432#97—24no—
433#97—24no—
434#97—42no—
435C4×C8—24no—
436C4×C8—22no—
437C4×C8—22no—
438C4×C8—22no—
439C4×C8—22no—
440C4×C8—42no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95—22no—
451#95C2×D411yescharacteristic
452#95C2×D411yescharacteristic
453#95C2×D411yescharacteristic
454#95C2×D411yescharacteristic
455#95C2×D411yescharacteristic
456#95C2×D411yescharacteristic
457#95C2×D411yescharacteristic
458#95C2×D411yescharacteristic
459C24—22no—
460C24C22×D411yescharacteristic
461#41—816no—
462C2×Q8—44no—
463C2×Q8—44no—
464C2×Q8—42no—
465C2×Q8—44no—
466C2×Q8—42no—
467C2×Q8—42no—
468C2×Q8—42no—
469C2×Q8—42no—
470C2×Q8—42no—
471C2×Q8—42no—
472C2×Q8—42no—
473C2×Q8—42no—
474C2×Q8—44no—
475C2×Q8—82no—
476C2×Q8—82no—
477C2×Q8—816no—
478C2×D4—22no—
479C2×D4—22no—
480C2×D4—24no—
481C2×D4—24no—
482C2×D4—44no—
483C2×D4—44no—
484C2×D4—44no—
485C2×D4—42no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—42no—
490C2×D4—42no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4#12414yes—
511C22×C4#12414yes—
512C22×C4C22×D411yescharacteristic
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C2×#4112yes—
526C22×C4C2×#4112yes—
527C22×C4C2511yescharacteristic
528M16—48no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C82−1+414yes—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—44no—
556C4⋊C4—44no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—44no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—44no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—82no—
580C4⋊C4—82no—
581C4⋊C4—82no—
582C4⋊C4—82no—
583C4⋊C4—82no—
584C4⋊C4—82no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—82no—
600C22⋊C4—82no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—22no—
611C42—82no—
612C42—82no—
613C42#12414yes—
614C42#12414yes—
615C42AGL(1,ℤ/8)14yes—
616C42AGL(1,ℤ/8)14yes—
617C42C2×#4112yes—
618C42C2×#4112yes—
619C42C2×#4112yes—
620C42C2×#4112yes—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23C2×#12412yes—
635C23C23×D411yescharacteristic
636Q8—88no—
637Q8—84no—
638Q8—84no—
639Q8—84no—
640Q8—164no—
641D4—44no—
642D4—44no—
643D4—88no—
644D4—84no—
645D4—84no—
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—28no—
661C2×C4—28no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—88no—
698C2×C4—88no—
699C2×C4C2×#12412yes—
700C2×C4C2×#12412yes—
701C2×C4C2×#12412yes—
702C2×C4C2×#12412yes—
703C2×C4C2×#12412yes—
704C2×C4C2×AGL(1,ℤ/8)12yes—
705C2×C4C2×AGL(1,ℤ/8)12yes—
706C2×C4C2×AGL(1,ℤ/8)12yes—
707C2×C4C2×AGL(1,ℤ/8)12yes—
708C2×C4C2×AGL(1,ℤ/8)12yes—
709C2×C4C2×AGL(1,ℤ/8)12yes—
710C2×C4#57712yes—
711C2×C4#57812yes—
712C2×C4C22×#4111yescharacteristic
713C2×C4C22×#4111yescharacteristic
714C2×C4C2×2−1+412yes—
715C2×C4#58512yes—
716C8—24no—
717C8—42no—
718C8—42no—
719C8—42no—
720C22—22no—
721C22—22no—
722C22—22no—
723C22—41no—
724C22—41no—
725C22—41no—
726C22—41no—
727C22—82no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22C22×#12411yescharacteristic
735C22#349911yescharacteristic
736C22#350011yescharacteristic
737C22C22×AGL(1,ℤ/8)11yescharacteristic
738C22C22×AGL(1,ℤ/8)11yescharacteristic
739C22C2×#57711yescharacteristic
740C22C2×#57811yescharacteristic
741C4—22no—
742C4—22no—
743C4—22no—
744C4—22no—
745C4—22no—
746C4—22no—
747C4—22no—
748C4—41no—
749C4—41no—
750C4—41no—
751C4—41no—
752C4—82no—
753C4—82no—
754C4—82no—
755C4—82no—
756C4—82no—
757C4—82no—
758C4—82no—
759C4#313714yes—
760C4#313814yes—
761C4#346112yes—
762C4#349512yes—
763C2—42no—
764C2—162no—
765C2#3531211yescharacteristic
766C2C2×#313711yescharacteristic
767C2C2×#313811yescharacteristic
768C2#6247711yescharacteristic
769C2#6247911yescharacteristic
770C2#6253811yescharacteristic
771C2#6254111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#532C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #35294C2semidirect
3. #33294C2semidirect
4. #33289C2semidirect
5. #33286C2semidirect
6. #33277C2semidirect
7. #30230C2semidirect
8. #30228C2semidirect
9. #30204C2semidirect
10. #30203C2semidirect
11. #27830C2semidirect
12. #27744C2semidirect
13. #27719C2semidirect
14. #27709C2semidirect
16. #21834C2semidirect
18. #21324C2semidirect
19. #20472C2semidirect

Maximal subgroups

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

subgroupindex
#353172
#352942
#332942
#332892
#332862
#332772
#302302
#302282
#302042
#302032
#278302
#277442
#277192
#277092
#218632
#218342
#214102
#213242
#204722