Finite Group Databasebeta

← #10968214

Subgroups — #10968214

Order 768.

2930 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×C22⋊Q8C211yesmaximal, characteristic, complemented
2C22×C4×#67C211yesmaximal, characteristic
3#84068C212yesmaximal, complemented
4C2×#5212C211yesmaximal, characteristic, complemented
5#82834C212yesmaximal, complemented
6#82822C212yesmaximal, complemented
7#82815C214yesmaximal, complemented
8#82810C212yesmaximal, complemented
9#82788C212yesmaximal, complemented
10#82784C214yesmaximal, complemented
11#82198C214yesmaximal, complemented
12#82197C212yesmaximal, complemented
13#82121C212yesmaximal
14#82095C212yesmaximal, complemented
15#35010—31nomaximal, Sylow
16C23×C3×Q8C2211yescharacteristic, complemented
17C24×C3×C4C2211yescharacteristic
18C23×#67C2211yescharacteristic
19C23×C4×D3C2211yescharacteristic
20C2×C3×C22⋊Q8—28no—
21C2×C3×C22⋊Q8C2212yes—
22C2×C3×C22⋊Q8C2212yes—
23C2×C3×C22⋊Q8C2212yescomplemented
24C2×C3×C22⋊Q8C2212yescomplemented
25C22×C3×C4⋊C4C2211yescharacteristic, complemented
26C22×C3×C4⋊C4C2212yescomplemented
27C22×C3×C22⋊C4C2212yes—
28C22×#217C2212yes—
29C22×#217C2211yescharacteristic
30C2×#946C2214yescomplemented
31C2×C4×#67—28no—
32C2×C4×#67C2212yes—
33C2×C4×#67C2212yes—
34C2×C4×#67C2212yes—
35C2×C4×#67C2212yes—
36C22×(C2×D3)⋊C4C2211yescharacteristic
37C22×C4⋊Dic3C2212yescomplemented
38C22×Dic3⋊C4C2211yescharacteristic
39C22×C4×Dic3C2211yescharacteristic
40#5231C2214yescomplemented
41#5230C2214yescomplemented
42#5229C2214yescomplemented
43#5213C2214yes—
44#5213C2214yes—
45#5212C2212yes—
46#5212C2212yes—
47#5212C2212yescomplemented
48#5212C2212yescomplemented
49#5210C2214yescomplemented
50#5210C2214yescomplemented
51C2×C3⋊#95C2212yescomplemented
52#4994C2218yescomplemented
53#4993C2214yescomplemented
54#4989C2218yescomplemented
55#4987C2214yescomplemented
56#4985C2214yescomplemented
57#4982C2218yescomplemented
58#4978C2218yescomplemented
59#4972C2214yescomplemented
60#4958C2218yes—
61#4955C2214yes—
62#4946C2214yes—
63#4946C2214yes—
64#4943C2214yes—
65#4942C2218yescomplemented
66C22×C22⋊Q8D311yescharacteristic, complemented
67C22×C4×D4—31no—
68#2855—32no—
69#2848—32no—
70#2627—32no—
71#2626—32no—
72#2579—34no—
73#2564—34no—
74#2487—32no—
75#2417—34no—
76#2409—32no—
77#2315—32no—
78#2308—32no—
79C2×#380—31no—
80C25×C3C2311yescharacteristic
81C24×D3C2311yescharacteristic
82C22×C3×Q8—24no—
83C22×C3×Q8—44no—
84C22×C3×Q8C2312yes—
85C22×C3×Q8C2312yes—
86C23×C3×C4—44no—
87C23×C3×C4D418yes—
88C23×C3×C4C2311yescharacteristic
89C23×C3×C4C2311yescharacteristic
90C23×C3×C4C2311yescharacteristic
91C23×C3×C4C2312yes—
92C23×C3×C4C2312yes—
93C23×C3×C4C2311yescharacteristic
94C23×C3×C4C2311yescharacteristic
95C23×C3×C4C2311yescharacteristic
96C22×#67—24no—
97C22×#67—24no—
98C22×#67Q818yescomplemented
99C22×#67C2312yes—
100C22×#67C2312yes—
101C23×Dic3C2311yescharacteristic
102C23×Dic3C2311yescharacteristic
103C23×Dic3C2314yes—
104C23×Dic3C2311yescharacteristic
105C22×C4×D3—24no—
106C22×C4×D3—44no—
107C22×C4×D3C2312yes—
108C22×C4×D3C2312yes—
109C3×C22⋊Q8—28no—
110C3×C22⋊Q8—28no—
111C3×C22⋊Q8—28no—
112C3×C22⋊Q8—28no—
113C2×C3×C4⋊C4—24no—
114C2×C3×C4⋊C4—28no—
115C2×C3×C4⋊C4C2312yes—
116C2×C3×C4⋊C4C2314yes—
117C2×C3×C4⋊C4C2314yes—
118C2×C3×C4⋊C4C2312yes—
119C2×C3×C22⋊C4—28no—
120C2×C3×C22⋊C4C2314yes—
121C2×C3×C22⋊C4C2314yes—
122C2×#217—24no—
123C2×#217—28no—
124C2×#217C2312yes—
125C2×#217C2314yes—
126C2×#217C2312yes—
127C2×#217C2314yes—
128#946—48no—
129C4×#67—28no—
130C4×#67—28no—
131C4×#67—28no—
132C4×#67—28no—
133C2×(C2×D3)⋊C4—24no—
134C2×(C2×D3)⋊C4C2312yes—
135C2×(C2×D3)⋊C4C2312yes—
136C2×(C2×D3)⋊C4C2318yes—
137C2×(C2×D3)⋊C4C2318yes—
138C2×C4⋊Dic3—44no—
139C2×C4⋊Dic3C2314yes—
140C2×C4⋊Dic3C2314yes—
141C2×Dic3⋊C4—24no—
142C2×Dic3⋊C4C2312yes—
143C2×Dic3⋊C4C2312yes—
144C2×Dic3⋊C4C2318yes—
145C2×Dic3⋊C4C2318yes—
146C2×C4×Dic3—24no—
147C2×C4×Dic3C2312yes—
148C2×C4×Dic3C2312yes—
149C3⋊#95C2318yes—
150C3⋊#95C2318yes—
151C3⋊#95C2318yes—
152C3⋊#95C2318yes—
153C3⋊#95C2314yes—
154C3⋊#95C2314yes—
155C23×Q8C2×D311yescharacteristic, complemented
156C23×D4—31no—
157C24×C4—31no—
158C24×C4C2×D311yescharacteristic
159C2×C22⋊Q8—28no—
160C2×C22⋊Q8—34no—
161C2×C22⋊Q8C2×D312yes—
162C2×C22⋊Q8C2×D312yes—
163C2×C22⋊Q8C2×D312yescomplemented
164C2×C22⋊Q8C2×D312yescomplemented
165C2×C4×D4—32no—
166C2×C4×D4—32no—
167C2×C4×D4—32no—
168C2×C4×D4—32no—
169C2×C4×D4—68no—
170C22×C4⋊C4—31no—
171C22×C4⋊C4—32no—
172C22×C4⋊C4C2×D312yescomplemented
173C22×C4⋊C4C2×D311yescharacteristic, complemented
174C22×C22⋊C4—32no—
175C22×C22⋊C4—31no—
176C22×C22⋊C4—31no—
177C22×C22⋊C4C2×D312yes—
178C22×C42—31no—
179#400—34no—
180#399—34no—
181#398—38no—
182#396—38no—
183#395—34no—
184#393—34no—
185#391—34no—
186#389—34no—
187#387—38no—
188#386—34no—
189#386—34no—
190#386—38no—
191#385—34no—
192#385—34no—
193#385—38no—
194#385—34no—
195#385—34no—
196#381—34no—
197#380—32no—
198#380—32no—
199#380—32no—
200#380—32no—
201#380—34no—
202#380—38no—
203#379—34no—
204C2×#95—32no—
205C24×C3—42no—
206C24×C3—42no—
207C24×C3C2×D414yes—
208C24×C3C2×Q814yes—
209C24×C3#4114yes—
210C24×C3C2411yescharacteristic
211C24×C3C2411yescharacteristic
212C24×C3C2411yescharacteristic
213C23×D3—22no—
214C23×D3—22no—
215C23×D3—42no—
216C23×D3—42no—
217C23×D3C2×Q814yescomplemented
218C23×D3C2412yes—
219C2×C3×Q8—24no—
220C2×C3×Q8—24no—
221C2×C3×Q8—28no—
222C2×C3×Q8—44no—
223C2×C3×Q8—416no—
224C22×C3×C4—24no—
225C22×C3×C4—24no—
226C22×C3×C4—24no—
227C22×C3×C4—24no—
228C22×C3×C4—24no—
229C22×C3×C4—416no—
230C22×C3×C4—42no—
231C22×C3×C4—42no—
232C22×C3×C4—42no—
233C22×C3×C4—44no—
234C22×C3×C4—44no—
235C22×C3×C4C2×D414yes—
236C22×C3×C4C2×D414yes—
237C22×C3×C4C2×D414yes—
238C22×C3×C4C2×D414yes—
239C22×C3×C4C2×D414yes—
240C22×C3×C4C2×D414yes—
241C22×C3×C4C2414yes—
242C22×C3×C4C2414yes—
243C22×C3×C4C2411yescharacteristic
244C22×C3×C4C2411yescharacteristic
245C22×C3×C4C2411yescharacteristic
246C22×C3×C4C2411yescharacteristic
247C2×#67—232no—
248C2×#67—24no—
249C2×#67—24no—
250C2×#67—24no—
251C2×#67—24no—
252C2×#67C2×Q818yes—
253C2×#67C2×Q818yescomplemented
254C22×Dic3—22no—
255C22×Dic3—22no—
256C22×Dic3—22no—
257C22×Dic3—22no—
258C22×Dic3—28no—
259C22×Dic3—42no—
260C22×Dic3—42no—
261C22×Dic3—44no—
262C22×Dic3—44no—
263C22×Dic3C2×Q814yescomplemented
264C22×Dic3C2418yes—
265C22×Dic3C2412yes—
266C22×Dic3C2412yes—
267C22×Dic3C2412yes—
268C2×C4×D3—24no—
269C2×C4×D3—24no—
270C2×C4×D3—28no—
271C2×C4×D3—44no—
272C2×C4×D3—416no—
273C3×C4⋊C4—24no—
274C3×C4⋊C4—24no—
275C3×C4⋊C4—28no—
276C3×C4⋊C4—28no—
277C3×C22⋊C4—28no—
278C3×C22⋊C4—28no—
279#217—24no—
280#217—24no—
281#217—28no—
282#217—28no—
283(C2×D3)⋊C4—24no—
284(C2×D3)⋊C4—24no—
285(C2×D3)⋊C4—48no—
286(C2×D3)⋊C4—48no—
287C4⋊Dic3—28no—
288C4⋊Dic3—44no—
289Dic3⋊C4—24no—
290Dic3⋊C4—24no—
291Dic3⋊C4—48no—
292Dic3⋊C4—48no—
293C4×Dic3—24no—
294C4×Dic3—24no—
295C25—31no—
296C25C22×D311yescharacteristic
297C22×Q8—24no—
298C22×Q8—44no—
299C22×Q8C22×D312yes—
300C22×Q8C22×D312yes—
301C22×D4—38no—
302C22×D4—32no—
303C22×D4—32no—
304C22×D4—64no—
305C22×D4—64no—
306C23×C4—31no—
307C23×C4—31no—
308C23×C4—31no—
309C23×C4—34no—
310C23×C4—32no—
311C23×C4—32no—
312C23×C4—44no—
313C23×C4—64no—
314C23×C4—124no—
315C23×C4#6718yes—
316C23×C4C22×D311yescharacteristic
317C23×C4C22×D311yescharacteristic
318C23×C4C22×D311yescharacteristic
319C23×C4C22×D312yes—
320C23×C4C22×D312yes—
321C23×C4C22×D311yescharacteristic
322C23×C4C22×D311yescharacteristic
323C23×C4C22×D311yescharacteristic
324C22⋊Q8—28no—
325C22⋊Q8—28no—
326C22⋊Q8—28no—
327C22⋊Q8—28no—
328C22⋊Q8—128no—
329C4×D4—68no—
330C4×D4—68no—
331C4×D4—68no—
332C4×D4—68no—
333C2×C4⋊C4—24no—
334C2×C4⋊C4—28no—
335C2×C4⋊C4—32no—
336C2×C4⋊C4—32no—
337C2×C4⋊C4—34no—
338C2×C4⋊C4—34no—
339C2×C4⋊C4—38no—
340C2×C4⋊C4—38no—
341C2×C4⋊C4—64no—
342C2×C4⋊C4—124no—
343C2×C4⋊C4C22×D312yes—
344C2×C4⋊C4C22×D314yes—
345C2×C4⋊C4C22×D314yes—
346C2×C4⋊C4C22×D312yes—
347C2×C22⋊C4—28no—
348C2×C22⋊C4—32no—
349C2×C22⋊C4—32no—
350C2×C22⋊C4—34no—
351C2×C22⋊C4—34no—
352C2×C22⋊C4—32no—
353C2×C22⋊C4—32no—
354C2×C22⋊C4—38no—
355C2×C22⋊C4—38no—
356C2×C22⋊C4—68no—
357C2×C22⋊C4—64no—
358C2×C22⋊C4—64no—
359C2×C22⋊C4C22×D314yes—
360C2×C22⋊C4C22×D314yes—
361C2×C42—32no—
362C2×C42—32no—
363C2×C42—64no—
364#95—34no—
365#95—34no—
366#95—38no—
367#95—38no—
368#95—38no—
369#95—38no—
370C23×C3—22no—
371C23×C3—22no—
372C23×C3—22no—
373C23×C3—22no—
374C23×C3—22no—
375C23×C3—22no—
376C23×C3—44no—
377C23×C3—44no—
378C23×C3—48no—
379C23×C3—48no—
380C23×C3C22⋊Q8116yescomplemented
381C23×C3C22×D412yes—
382C23×C3C22×D412yes—
383C23×C3C22×D412yes—
384C23×C3C22×Q812yes—
385C23×C3C22×Q812yes—
386C23×C3C22×Q812yes—
387C23×C3C2×#4112yes—
388C23×C3C2×#4112yes—
389C23×C3C2×#4112yes—
390C23×C3C2511yescharacteristic
391C22×D3—28no—
392C22×D3—22no—
393C22×D3—22no—
394C22×D3—24no—
395C22×D3—24no—
396C22×D3—48no—
397C22×D3—44no—
398C22×D3—44no—
399C22×D3—48no—
400C22×D3C22×Q814yes—
401C3×Q8—48no—
402C3×Q8—48no—
403C2×C3×C4—22no—
404C2×C3×C4—22no—
405C2×C3×C4—22no—
406C2×C3×C4—28no—
407C2×C3×C4—28no—
408C2×C3×C4—28no—
409C2×C3×C4—24no—
410C2×C3×C4—24no—
411C2×C3×C4—28no—
412C2×C3×C4—28no—
413C2×C3×C4—44no—
414C2×C3×C4—44no—
415C2×C3×C4—44no—
416C2×C3×C4—48no—
417C2×C3×C4—48no—
418C2×C3×C4C22×D412yes—
419C2×C3×C4C22×D412yes—
420C2×C3×C4C22×D412yes—
421C2×C3×C4C22×D412yes—
422C2×C3×C4H(5,𝔽2)14yes—
423#67—216no—
424#67—216no—
425C2×Dic3—28no—
426C2×Dic3—22no—
427C2×Dic3—22no—
428C2×Dic3—22no—
429C2×Dic3—22no—
430C2×Dic3—28no—
431C2×Dic3—24no—
432C2×Dic3—28no—
433C2×Dic3—24no—
434C2×Dic3—28no—
435C2×Dic3—44no—
436C2×Dic3—44no—
437C2×Dic3—88no—
438C2×Dic3C22×Q814yes—
439C4×D3—48no—
440C4×D3—48no—
441C24—32no—
442C24—34no—
443C24—42no—
444C24—42no—
445C24—62no—
446C24—62no—
447C24—122no—
448C24—122no—
449C24D3×Q814yes—
450C24#23914yes—
451C24C2×#6714yes—
452C24C23×D311yescharacteristic
453C24C23×D311yescharacteristic
454C24C23×D311yescharacteristic
455C2×Q8—28no—
456C2×Q8—24no—
457C2×Q8—24no—
458C2×Q8—44no—
459C2×Q8—416no—
460C2×D4—38no—
461C2×D4—38no—
462C2×D4—632no—
463C2×D4—64no—
464C2×D4—64no—
465C2×D4—64no—
466C2×D4—64no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—34no—
473C22×C4—32no—
474C22×C4—38no—
475C22×C4—32no—
476C22×C4—32no—
477C22×C4—416no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—44no—
482C22×C4—44no—
483C22×C4—62no—
484C22×C4—62no—
485C22×C4—62no—
486C22×C4—62no—
487C22×C4—68no—
488C22×C4—68no—
489C22×C4—64no—
490C22×C4—64no—
491C22×C4—124no—
492C22×C4—1216no—
493C22×C4—122no—
494C22×C4—122no—
495C22×C4—124no—
496C22×C4—124no—
497C22×C4C2×#6714yes—
498C22×C4C2×#6714yes—
499C22×C4C2×#6714yes—
500C22×C4C2×#6714yes—
501C22×C4C2×#6714yes—
502C22×C4C2×#6714yes—
503C22×C4C23×D314yes—
504C22×C4C23×D314yes—
505C22×C4C23×D311yescharacteristic
506C22×C4C23×D311yescharacteristic
507C22×C4C23×D311yescharacteristic
508C22×C4C23×D311yescharacteristic
509C4⋊C4—24no—
510C4⋊C4—24no—
511C4⋊C4—28no—
512C4⋊C4—28no—
513C4⋊C4—68no—
514C4⋊C4—64no—
515C4⋊C4—64no—
516C4⋊C4—124no—
517C4⋊C4—128no—
518C4⋊C4—128no—
519C22⋊C4—28no—
520C22⋊C4—28no—
521C22⋊C4—68no—
522C22⋊C4—68no—
523C22⋊C4—64no—
524C22⋊C4—64no—
525C22⋊C4—64no—
526C22⋊C4—64no—
527C22⋊C4—128no—
528C22⋊C4—128no—
529C42—64no—
530C42—64no—
531C22×C3—22no—
532C22×C3—22no—
533C22×C3—22no—
534C22×C3—22no—
535C22×C3—22no—
536C22×C3—22no—
537C22×C3—24no—
538C22×C3—24no—
539C22×C3—24no—
540C22×C3—24no—
541C22×C3—24no—
542C22×C3—24no—
543C22×C3—416no—
544C22×C3C2×C22⋊Q814yes—
545C22×C3C2×C22⋊Q814yes—
546C22×C3C2×C22⋊Q814yes—
547C22×C3C23×D411yescharacteristic
548C22×C3C23×Q811yescharacteristic
549C22×C3C22×#4111yescharacteristic
550C22×C3C2×H(5,𝔽2)12yes—
551C22×C3#58512yes—
552C2×D3—24no—
553C2×D3—28no—
554C2×D3—416no—
555C2×D3—42no—
556C2×D3—42no—
557C2×D3—44no—
558C3×C4—22no—
559C3×C4—22no—
560C3×C4—22no—
561C3×C4—44no—
562C3×C4—44no—
563C3×C4#53414yes—
564Dic3—24no—
565Dic3—42no—
566Dic3—42no—
567Dic3—48no—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—34no—
575C23—44no—
576C23—48no—
577C23—48no—
578C23—44no—
579C23—64no—
580C23—62no—
581C23—64no—
582C23—62no—
583C23—68no—
584C23—128no—
585C23—124no—
586C23—128no—
587C23—124no—
588C23#946116yescomplemented
589C23C2×D3×Q812yes—
590C23C2×D3×Q812yes—
591C23C2×D3×Q812yes—
592C23C2×#23912yes—
593C23C2×#23912yes—
594C23C2×#23912yes—
595C23C22×#6712yes—
596C23C22×#6712yes—
597C23C22×#6712yes—
598C23C24×D311yescharacteristic
599Q8—48no—
600Q8—48no—
601D4—616no—
602D4—616no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—28no—
607C2×C4—28no—
608C2×C4—28no—
609C2×C4—28no—
610C2×C4—28no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—34no—
614C2×C4—44no—
615C2×C4—44no—
616C2×C4—44no—
617C2×C4—48no—
618C2×C4—48no—
619C2×C4—62no—
620C2×C4—62no—
621C2×C4—68no—
622C2×C4—68no—
623C2×C4—64no—
624C2×C4—68no—
625C2×C4—68no—
626C2×C4—64no—
627C2×C4—62no—
628C2×C4—62no—
629C2×C4—128no—
630C2×C4—124no—
631C2×C4—124no—
632C2×C4—128no—
633C2×C4—248no—
634C2×C4#100414yes—
635C2×C4C22×#6712yes—
636C2×C4C22×#6712yes—
637C2×C4C22×#6712yes—
638C2×C4C22×#6712yes—
639C2×C3—24no—
640C2×C3—24no—
641C2×C3—24no—
642C2×C3C22×C22⋊Q811yescharacteristic
643C2×C3C2×#53411yescharacteristic
644C2×C3#344911yescharacteristic
645C2×C3#350112yes—
646C2×C3#350512yes—
647D3—44no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—24no—
652C22—24no—
653C22—24no—
654C22—24no—
655C22—24no—
656C22—24no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—416no—
661C22—64no—
662C22—68no—
663C22—1216no—
664C22—122no—
665C22—124no—
666C22—122no—
667C22C2×#94614yes—
668C22C2×#94614yes—
669C22C2×#94614yes—
670C22C2×#100412yes—
671C22C22×D3×Q811yescharacteristic
672C22C22×#23911yescharacteristic
673C22#596412yes—
674C22C23×#6711yescharacteristic
675C4—22no—
676C4—22no—
677C4—22no—
678C4—44no—
679C4—44no—
680C4—64no—
681C4—122no—
682C4—128no—
683C4—122no—
684C4#580414yes—
685C3#3501011yescharacteristic, complemented, Sylow
686C2—24no—
687C2—24no—
688C2—24no—
689C2—124no—
690C2#8597112yes—
691C2#8598612yes—
692C2C2×#580411yescharacteristic
693C2C22×#94611yescharacteristic
694C2#8726811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC22×C3×C22⋊Q8C2
prime radicalC23×#67C22
hypercenterC22×C22⋊Q8D3
hypocenterC3#35010
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C22×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C22×C3×C22⋊Q8C2semidirect
3. #84068C2semidirect
4. C2×#5212C2semidirect
5. #82834C2semidirect
6. #82822C2semidirect
7. #82815C2semidirect
8. #82810C2semidirect
9. #82788C2semidirect
10. #82784C2semidirect
11. #82198C2semidirect
12. #82197C2semidirect
14. #82095C2semidirect
16. C23×C3×Q8C22semidirect
23. C2×C3×C22⋊Q8C22semidirect
24. C2×C3×C22⋊Q8C22semidirect
25. C22×C3×C4⋊C4C22semidirect
26. C22×C3×C4⋊C4C22semidirect
30. C2×#946C22semidirect
37. C22×C4⋊Dic3C22semidirect
40. #5231C22semidirect
41. #5230C22semidirect
42. #5229C22semidirect
47. #5212C22semidirect
48. #5212C22semidirect
49. #5210C22semidirect
50. #5210C22semidirect
51. C2×C3⋊#95C22semidirect
52. #4994C22semidirect
53. #4993C22semidirect
54. #4989C22semidirect
55. #4987C22semidirect
56. #4985C22semidirect
57. #4982C22semidirect
58. #4978C22semidirect
59. #4972C22semidirect
65. #4942C22semidirect
66. C22×C22⋊Q8D3semidirect
98. C22×#67Q8semidirect
155. C23×Q8C2×D3semidirect
163. C2×C22⋊Q8C2×D3semidirect
164. C2×C22⋊Q8C2×D3semidirect
172. C22×C4⋊C4C2×D3semidirect
173. C22×C4⋊C4C2×D3semidirect
217. C23×D3C2×Q8semidirect
253. C2×#67C2×Q8semidirect
263. C22×Dic3C2×Q8semidirect
380. C23×C3C22⋊Q8semidirect
588. C23#946semidirect
685. C3#35010semidirect

Maximal subgroups

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

subgroupindex
C22×C3×C22⋊Q82
C22×C4×#672
#840682
C2×#52122
#828342
#828222
#828152
#828102
#827882
#827842
#821982
#821972
#821212
#820952
#350103