Finite Group Databasebeta

← #10799059

Subgroups — #10799059

Order 768.

1630 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D3×SD16C211yesmaximal, characteristic
2C2×#4880C211yesmaximal, characteristic, complemented
3C2×#4802C211yesmaximal, characteristic, complemented
4C2×#4770C211yesmaximal, characteristic
5C2×#4708C211yesmaximal, characteristic, complemented
6#76610C211yesmaximal, characteristic, complemented
7#76428C211yesmaximal, characteristic
8C3×#1973C211yesmaximal, characteristic, complemented
9#72050C211yesmaximal, characteristic, complemented
10#70629C211yesmaximal, characteristic, complemented
11#70257C211yesmaximal, characteristic, complemented
12#70189C211yesmaximal, characteristic, complemented
13#69826C211yesmaximal, characteristic, complemented
14#69676C211yesmaximal, characteristic, complemented
15#69646C211yesmaximal, characteristic, complemented
16#21231—31nomaximal, Sylow
17C22×D3×Q8C2211yescharacteristic
18C22×D3×D4C2211yescharacteristic
19C22×C3×SD16C2211yescharacteristic
20C22×#215C2211yescharacteristic
21C22×#214C2211yescharacteristic
22C2×D3×SD16—24no—
23C2×D3×SD16—24no—
24C2×D3×SD16C418yescomplemented
25C22×#204C2211yescharacteristic
26C22×ΓL(1,𝔽25)C2211yescharacteristic
27C22×D3×C8C2211yescharacteristic
28C2×#892C2211yescharacteristic
29C2×#892C2211yescharacteristic
30C2×#872C2211yescharacteristic
31C2×C3×#107C2211yescharacteristic, complemented
32C2×C3×#103C2211yescharacteristic, complemented
33C2×C3×#102C2211yescharacteristic
34C2×C3×#97C2211yescharacteristic, complemented
35C3×#391C2211yescharacteristic, complemented
36C3×#390C2211yescharacteristic
37#5229C2211yescharacteristic, complemented
38C2×#835C2211yescharacteristic, complemented
39#5221C2211yescharacteristic
40C2×#832C2211yescharacteristic
41C2×#821C2211yescharacteristic
42C2×#818C2211yescharacteristic, complemented
43C2×#816C2211yescharacteristic, complemented
44C2×#815C2211yescharacteristic, complemented
45C2×C8×Dic3C2211yescharacteristic, complemented
46#4988C2211yescharacteristic
47#4973C2211yescharacteristic, complemented
48C2×#810C2211yescharacteristic, complemented
49C2×#809C2211yescharacteristic
50C2×#808C2211yescharacteristic, complemented
51C2×#808C2211yescharacteristic, complemented
52#4957—22no—
53#4955—22no—
54#4939C2211yescharacteristic
55#4929C2211yescharacteristic, complemented
56C2×C4×C3⋊C8C2211yescharacteristic, complemented
57#4880—24no—
58#4802—24no—
59#4770—24no—
60#4708—24no—
61#4664—22no—
62#4646—22no—
63C23×SD16—31no—
64C2×#427—31no—
65C2×#419—31no—
66C2×#418—31no—
67C2×#405—31no—
68#2310—31no—
69#2309—31no—
70#1973—31no—
71#1973—31no—
72#1973—31no—
73#1973D311yescharacteristic, complemented
74#1968—31no—
75#1968—31no—
76#1968—31no—
77#1968—31no—
78C24×D3—21no—
79C22×C3×Q8C2311yescharacteristic
80C22×C3×D4C2311yescharacteristic
81C22×#67—21no—
82C2×D3×Q8—22no—
83C2×D3×Q8—22no—
84C2×D3×Q8—22no—
85C2×D3×Q8—22no—
86C2×D3×Q8—22no—
87C2×D3×Q8C2×C414yes—
88C2×D3×D4—22no—
89C2×D3×D4—22no—
90C2×D3×D4—22no—
91C2×D3×D4—22no—
92C2×D3×D4—22no—
93C2×D3×D4C2×C414yes—
94C22×D12C2311yescharacteristic
95C22×C4×D3—21no—
96C22×C4×D3C2311yescharacteristic
97C22×Dic6—21no—
98C22×Dic6C2311yescharacteristic
99C2×C3×SD16—22no—
100C2×C3×SD16—22no—
101C2×C3×SD16C2×C414yes—
102C22×C3×C8C2311yescharacteristic
103C22×C3×C8C2311yescharacteristic
104C2×C3×C4⋊C4C2311yescharacteristic
105C2×C3×C4⋊C4C2311yescharacteristic
106C2×C3×C22⋊C4—22no—
107C2×C3×C42C2311yescharacteristic
108C2×#217—22no—
109C2×#215—22no—
110C2×#215—22no—
111C2×#215C2×C414yes—
112C2×#214—22no—
113C2×#214—22no—
114C2×#214C2×C414yes—
115C2×(C2×D3)⋊C4—21no—
116C2×(C2×D3)⋊C4—21no—
117C2×(C2×D3)⋊C4—22no—
118C2×(C2×D3)⋊C4—22no—
119C2×(C2×D3)⋊C4D412yes—
120C2×C4⋊Dic3C2311yescharacteristic
121C2×C4⋊Dic3C2311yescharacteristic
122C2×Dic3⋊C4D412yes—
123C2×C4×Dic3—21no—
124C2×C4×Dic3—21no—
125C2×C4×Dic3C2311yescharacteristic
126C22×C3⋊C8C2311yescharacteristic
127C22×C3⋊C8C2311yescharacteristic
128D3×SD16—232no—
129C2×#204—22no—
130C2×#204—22no—
131C2×#204C2×C414yes—
132C2×ΓL(1,𝔽25)—22no—
133C2×ΓL(1,𝔽25)—22no—
134C2×ΓL(1,𝔽25)D414yes—
135C2×D3×C8C2×C414yes—
136C2×D3×C8D414yes—
137C2×D3×C8D414yes—
138#892—22no—
139#892—22no—
140#892—22no—
141#892—22no—
142#872—22no—
143#872—22no—
144C3×#107—22no—
145C3×#103—22no—
146C3×#102—22no—
147C3×#97—22no—
148C3×#95—22no—
149#835—22no—
150#832—22no—
151C3⋊#95—22no—
152C3⋊#95—22no—
153C3⋊#95—22no—
154#821—22no—
155#818—22no—
156#816—22no—
157#815—22no—
158C8×Dic3—22no—
159#810—22no—
160#809—22no—
161#808—22no—
162#808—22no—
163C4×C3⋊C8—22no—
164C23×Q8—31no—
165C23×D4—31no—
166C22×SD16—31no—
167C22×SD16—31no—
168C22×SD16—38no—
169C22×SD16—31no—
170C22×SD16—64no—
171C22×SD16—64no—
172C22×SD16C2×D311yescharacteristic
173C22×M16—31no—
174C23×C8—31no—
175C2×#117—31no—
176C2×#117—31no—
177C2×#117—31no—
178#427—64no—
179C2×#107—31no—
180C2×#107C2×D311yescharacteristic, complemented
181C2×#106—31no—
182C2×#106—31no—
183#419—64no—
184#418—64no—
185C2×#103—31no—
186C2×#103—31no—
187C2×#103—31no—
188C2×#103C2×D311yescharacteristic, complemented
189C2×#102—31no—
190C2×#102—31no—
191C2×#102—31no—
192C2×#102C2×D311yescharacteristic
193#405—64no—
194C2×#97—31no—
195C2×#97C2×D311yescharacteristic, complemented
196C2×C4×C8—31no—
197C2×C4×C8—31no—
198#391—31no—
199#391—31no—
200#391—31no—
201#391—62no—
202#391C2×D311yescharacteristic, complemented
203#390—31no—
204#390—31no—
205#390—31no—
206#390—62no—
207#390C2×D311yescharacteristic
208#381—62no—
209#379—62no—
210C24×C3—21no—
211C23×D3—21no—
212C23×D3—24no—
213C23×D3—42no—
214C23×D3—42no—
215C23×D3—82no—
216C23×D3—82no—
217C23×D3C2×D411yescharacteristic
218C2×C3×Q8—21no—
219C2×C3×Q8—21no—
220C2×C3×Q8—21no—
221C2×C3×Q8—21no—
222C2×C3×Q8—21no—
223C2×C3×Q8C22×C412yes—
224C2×C3×D4—21no—
225C2×C3×D4—21no—
226C2×C3×D4—21no—
227C2×C3×D4—21no—
228C2×C3×D4—21no—
229C2×C3×D4C22×C412yes—
230C22×C3×C4—21no—
231C22×C3×C4—21no—
232C22×C3×C4—21no—
233C22×C3×C4C2×D412yes—
234C22×C3×C4C2411yescharacteristic
235C2×#67—24no—
236C2×#67—42no—
237C2×#67—42no—
238C22×Dic3—21no—
239C22×Dic3—21no—
240C22×Dic3—21no—
241C22×Dic3C2×D412yes—
242C22×Dic3C2×D411yescharacteristic
243D3×Q8—28no—
244D3×Q8—28no—
245D3×Q8—44no—
246D3×Q8—44no—
247D3×D4—28no—
248D3×D4—28no—
249D3×D4—44no—
250D3×D4—44no—
251C2×D12—21no—
252C2×D12—21no—
253C2×D12—21no—
254C2×D12—21no—
255C2×D12—21no—
256C2×D12C22×C412yes—
257C2×C4×D3—24no—
258C2×C4×D3—42no—
259C2×C4×D3—42no—
260C2×C4×D3C22×C412yes—
261C2×C4×D3C2×D412yes—
262C2×C4×D3C2×D412yes—
263C2×C4×D3C2×D412yes—
264C2×C4×D3#4112yes—
265C2×C4×D3#4112yes—
266C2×Dic6—21no—
267C2×Dic6—21no—
268C2×Dic6—21no—
269C2×Dic6—21no—
270C2×Dic6—21no—
271C2×Dic6—24no—
272C2×Dic6—42no—
273C2×Dic6—42no—
274C2×Dic6C22×C412yes—
275C3×SD16—28no—
276C2×C3×C8—21no—
277C2×C3×C8—21no—
278C2×C3×C8C22×C412yes—
279C2×C3×C8C2×D412yes—
280C2×C3×C8C2×D412yes—
281C2×C3×C8C2×D412yes—
282C3×C4⋊C4—21no—
283C3×C4⋊C4—21no—
284C3×C4⋊C4—21no—
285C3×C4⋊C4—21no—
286C3×C22⋊C4—82no—
287C3×C42—21no—
288C3×C42—21no—
289#217—82no—
290#215—28no—
291#214—28no—
292(C2×D3)⋊C4—24no—
293(C2×D3)⋊C4—42no—
294(C2×D3)⋊C4—42no—
295(C2×D3)⋊C4—82no—
296(C2×D3)⋊C4—82no—
297C4⋊Dic3—21no—
298C4⋊Dic3—21no—
299C4⋊Dic3—21no—
300C4⋊Dic3—21no—
301Dic3⋊C4—24no—
302C4×Dic3—21no—
303C4×Dic3—21no—
304C4×Dic3—42no—
305C4×Dic3—42no—
306C2×C3⋊C8—21no—
307C2×C3⋊C8—21no—
308C2×C3⋊C8C22×C412yes—
309C2×C3⋊C8C2×D412yes—
310C2×C3⋊C8C2×D412yes—
311C2×C3⋊C8C2×D412yes—
312#204—28no—
313ΓL(1,𝔽25)—28no—
314D3×C8C22⋊C4116yescomplemented
315C25—61no—
316C22×Q8—34no—
317C22×Q8—31no—
318C22×Q8—61no—
319C22×Q8—62no—
320C22×Q8—62no—
321C22×Q8—62no—
322C22×Q8—62no—
323C22×Q8—62no—
324C22×Q8C22×D311yescharacteristic
325C22×D4—34no—
326C22×D4—31no—
327C22×D4—62no—
328C22×D4—62no—
329C22×D4—62no—
330C22×D4—62no—
331C22×D4—62no—
332C22×D4—61no—
333C22×D4C22×D311yescharacteristic
334C23×C4—31no—
335C23×C4—61no—
336C2×SD16—22no—
337C2×SD16—22no—
338C2×SD16—34no—
339C2×SD16—34no—
340C2×SD16—34no—
341C2×SD16—632no—
342C2×SD16—62no—
343C2×SD16—62no—
344C2×SD16—62no—
345C2×SD16—62no—
346C2×SD16—62no—
347C2×SD16—62no—
348C2×SD16C4×D314yes—
349C2×M16—34no—
350C2×M16—62no—
351C2×M16—62no—
352C22×C8—31no—
353C22×C8—34no—
354C22×C8—34no—
355C22×C8—34no—
356C22×C8—31no—
357C22×C8C22×D311yescharacteristic
358C22×C8C22×D311yescharacteristic
359#117—62no—
360#117—62no—
361#117—62no—
362#117—62no—
363#117—62no—
364#117—62no—
365C2×C4⋊C4—32no—
366C2×C4⋊C4—31no—
367C2×C4⋊C4—31no—
368C2×C4⋊C4C22×D311yescharacteristic
369C2×C4⋊C4C22×D311yescharacteristic
370C2×C22⋊C4—22no—
371C2×C22⋊C4—32no—
372C2×C22⋊C4—61no—
373C2×C22⋊C4—61no—
374C2×C22⋊C4—62no—
375C2×C22⋊C4—62no—
376C2×C22⋊C4—62no—
377C2×C42—31no—
378C2×C42—61no—
379C2×C42—61no—
380C2×C42C22×D311yescharacteristic
381#107—22no—
382#107—62no—
383#106—62no—
384#106—62no—
385#103—22no—
386#103—62no—
387#103—62no—
388#103—62no—
389#102—22no—
390#102—62no—
391#102—62no—
392#102—62no—
393#97—22no—
394#97—62no—
395C4×C8—62no—
396C4×C8—62no—
397#95—22no—
398#95—62no—
399#95—62no—
400#95—62no—
401C23×C3—22no—
402C23×C3—41no—
403C23×C3—41no—
404C23×C3—42no—
405C23×C3—42no—
406C23×C3C22×D411yescharacteristic
407C22×D3—22no—
408C22×D3—22no—
409C22×D3—22no—
410C22×D3—41no—
411C22×D3—41no—
412C22×D3—42no—
413C22×D3—42no—
414C22×D3—48no—
415C22×D3—88no—
416C22×D3—84no—
417C22×D3—84no—
418C22×D3—88no—
419C22×D3C4×D412yes—
420C22×D3#12112yes—
421C22×D3#12712yes—
422C3×Q8—22no—
423C3×Q8—22no—
424C3×Q8—41no—
425C3×Q8—41no—
426C3×D4—22no—
427C3×D4—22no—
428C3×D4—41no—
429C3×D4—41no—
430C2×C3×C4—22no—
431C2×C3×C4—22no—
432C2×C3×C4—22no—
433C2×C3×C4—22no—
434C2×C3×C4—41no—
435C2×C3×C4—41no—
436C2×C3×C4—41no—
437C2×C3×C4—41no—
438C2×C3×C4—42no—
439C2×C3×C4—42no—
440C2×C3×C4C23×C411yescharacteristic
441C2×C3×C4C22×D411yescharacteristic
442C2×C3×C4C22×D411yescharacteristic
443C2×C3×C4C22×D411yescharacteristic
444C2×C3×C4C2×#4111yescharacteristic
445C2×C3×C4C2×#4111yescharacteristic
446#67—48no—
447C2×Dic3—22no—
448C2×Dic3—22no—
449C2×Dic3—22no—
450C2×Dic3—22no—
451C2×Dic3—41no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454C2×Dic3—41no—
455C2×Dic3—42no—
456C2×Dic3—42no—
457C2×Dic3C4×D412yes—
458C2×Dic3#12112yes—
459C2×Dic3#12712yes—
460D12—22no—
461D12—22no—
462D12—41no—
463D12—41no—
464C4×D3—48no—
465C4×D3C2×C22⋊C414yes—
466C4×D3C4×D414yes—
467C4×D3#12114yes—
468C4×D3#12414yes—
469Dic6—22no—
470Dic6—22no—
471Dic6—41no—
472Dic6—41no—
473Dic6—48no—
474C3×C8—22no—
475C3×C8C2×C22⋊C414yes—
476C3⋊C8—22no—
477C3⋊C8C2×C22⋊C414yes—
478C24—21no—
479C24—31no—
480C24—64no—
481C24—61no—
482C24—122no—
483C24—122no—
484C24—242no—
485C24—242no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—32no—
492C2×Q8—64no—
493C2×Q8—68no—
494C2×Q8—68no—
495C2×Q8—61no—
496C2×Q8—61no—
497C2×Q8—61no—
498C2×Q8—61no—
499C2×Q8—61no—
500C2×Q8—122no—
501C2×Q8—122no—
502C2×Q8—124no—
503C2×Q8—124no—
504C2×Q8C2×C4×D312yes—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—32no—
511C2×D4—68no—
512C2×D4—68no—
513C2×D4—64no—
514C2×D4—61no—
515C2×D4—61no—
516C2×D4—61no—
517C2×D4—61no—
518C2×D4—61no—
519C2×D4—124no—
520C2×D4—124no—
521C2×D4—122no—
522C2×D4—122no—
523C2×D4C2×C4×D312yes—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—31no—
528C22×C4—32no—
529C22×C4—32no—
530C22×C4—32no—
531C22×C4—32no—
532C22×C4—32no—
533C22×C4—32no—
534C22×C4—32no—
535C22×C4—64no—
536C22×C4—61no—
537C22×C4—61no—
538C22×C4—61no—
539C22×C4—122no—
540C22×C4—122no—
541C22×C4D3×D412yes—
542C22×C4C23×D311yescharacteristic
543SD16—28no—
544SD16—68no—
545SD16—68no—
546SD16—68no—
547M16—68no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—32no—
551C2×C8—32no—
552C2×C8—32no—
553C2×C8—316no—
554C2×C8—32no—
555C2×C8—61no—
556C2×C8—61no—
557C2×C8C2×C4×D312yes—
558C2×C8D3×D412yes—
559C2×C8D3×D412yes—
560C2×C8D3×D412yes—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—64no—
566C4⋊C4—61no—
567C4⋊C4—61no—
568C4⋊C4—61no—
569C4⋊C4—61no—
570C22⋊C4—64no—
571C22⋊C4—82no—
572C22⋊C4—122no—
573C22⋊C4—122no—
574C22⋊C4—242no—
575C22⋊C4—242no—
576C22⋊C4—242no—
577C42—21no—
578C42—21no—
579C42—61no—
580C42—61no—
581C42—122no—
582C42—122no—
583C22×C3—44no—
584C22×C3—42no—
585C22×C3—81no—
586C22×C3—81no—
587C22×C3—82no—
588C22×C3C2×C4×D411yescharacteristic
589C22×C3C2×#12111yescharacteristic
590C22×C3C2×#12711yescharacteristic
591C22×C3#57712yes—
592C22×C3#57712yes—
593C2×D3—22no—
594C2×D3—22no—
595C2×D3—24no—
596C2×D3—24no—
597C2×D3—44no—
598C2×D3—42no—
599C2×D3—816no—
600C2×D3—81no—
601C2×D3—81no—
602C2×D3—82no—
603C2×D3#39014yes—
604C3×C4—42no—
605C3×C4—42no—
606C3×C4—81no—
607C3×C4—81no—
608C3×C4C22×C22⋊C411yescharacteristic
609C3×C4C2×C4×D411yescharacteristic
610C3×C4C2×#12111yescharacteristic
611C3×C4C2×#12411yescharacteristic
612Dic3—42no—
613Dic3—42no—
614Dic3—81no—
615Dic3—81no—
616Dic3#39014yes—
617C23—22no—
618C23—32no—
619C23—32no—
620C23—32no—
621C23—41no—
622C23—42no—
623C23—42no—
624C23—41no—
625C23—62no—
626C23—62no—
627C23—62no—
628C23—128no—
629C23—121no—
630C23—122no—
631C23—122no—
632C23—121no—
633C23—248no—
634C23—248no—
635C23—244no—
636C23—244no—
637C23C2×D3×D411yescharacteristic
638Q8—22no—
639Q8—22no—
640Q8—41no—
641Q8—41no—
642Q8—62no—
643Q8—62no—
644Q8—128no—
645Q8—121no—
646Q8—121no—
647D4—22no—
648D4—22no—
649D4—41no—
650D4—41no—
651D4—62no—
652D4—62no—
653D4—128no—
654D4—121no—
655D4—121no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—32no—
661C2×C4—32no—
662C2×C4—32no—
663C2×C4—34no—
664C2×C4—34no—
665C2×C4—34no—
666C2×C4—34no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—62no—
674C2×C4—62no—
675C2×C4—62no—
676C2×C4—62no—
677C2×C4—128no—
678C2×C4—121no—
679C2×C4—121no—
680C2×C4—121no—
681C2×C4—121no—
682C2×C4—122no—
683C2×C4—122no—
684C2×C4C22×C4×D311yescharacteristic
685C2×C4C2×D3×D411yescharacteristic
686C2×C4C2×D3×D411yescharacteristic
687C2×C4C2×D3×D411yescharacteristic
688C2×C4D3×#4111yescharacteristic
689C2×C4D3×#4111yescharacteristic
690C8—22no—
691C8—34no—
692C8—62no—
693C8D3×C22⋊C414yes—
694C2×C3—82no—
695C2×C3C2×#39011yescharacteristic
696C2×C3#294912yes—
697C2×C3#305712yes—
698C2×C3#315411yescharacteristic
699C2×C3#315411yescharacteristic
700D3—24no—
701D3—82no—
702C22—34no—
703C22—42no—
704C22—44no—
705C22—64no—
706C22—64no—
707C22—62no—
708C22—62no—
709C22—82no—
710C22—81no—
711C22—81no—
712C22—122no—
713C22—124no—
714C22—2416no—
715C22—242no—
716C22—241no—
717C22—241no—
718C22C4×D3×D411yescharacteristic
719C22D3×#12111yescharacteristic
720C22D3×#12711yescharacteristic
721C22#577512yes—
722C22#577812yes—
723C4—34no—
724C4—42no—
725C4—42no—
726C4—81no—
727C4—81no—
728C4—122no—
729C4—122no—
730C4—241no—
731C4—241no—
732C4C2×D3×C22⋊C411yescharacteristic
733C4C4×D3×D411yescharacteristic
734C4D3×#12111yescharacteristic
735C4D3×#12411yescharacteristic
736C3#2123111yescharacteristic, complemented, Sylow
737C2—64no—
738C2—82no—
739C2—242no—
740C2D3×#39011yescharacteristic
741C2#7977712yes—
742C2#8080712yes—
743C2#8184711yescharacteristic
744C2#8187211yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#1973C2
socleC23×C3C22×D4
prime radicalC22×D3×D4C22
cosocleC22×C3×C4C24
hypercenter#1973D3
hypocenterC3#21231
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1973

Complements

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

NH ≅ G/Ntype
2. C2×#4880C2semidirect
3. C2×#4802C2semidirect
5. C2×#4708C2semidirect
6. #76610C2semidirect
8. C3×#1973C2semidirect
9. #72050C2semidirect
10. #70629C2semidirect
11. #70257C2semidirect
12. #70189C2semidirect
13. #69826C2semidirect
14. #69676C2semidirect
15. #69646C2semidirect
24. C2×D3×SD16C4semidirect
31. C2×C3×#107C22semidirect
32. C2×C3×#103C22semidirect
34. C2×C3×#97C22semidirect
35. C3×#391C22semidirect
37. #5229C22semidirect
38. C2×#835C22semidirect
42. C2×#818C22semidirect
43. C2×#816C22semidirect
44. C2×#815C22semidirect
45. C2×C8×Dic3C22semidirect
47. #4973C22semidirect
48. C2×#810C22semidirect
50. C2×#808C22semidirect
51. C2×#808C22semidirect
55. #4929C22semidirect
56. C2×C4×C3⋊C8C22semidirect
73. #1973D3semidirect
180. C2×#107C2×D3semidirect
188. C2×#103C2×D3semidirect
195. C2×#97C2×D3semidirect
202. #391C2×D3semidirect
314. D3×C8C22⋊C4semidirect
736. C3#21231semidirect

Maximal subgroups

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

subgroupindex
C22×D3×SD162
C2×#48802
C2×#48022
C2×#47702
C2×#47082
#766102
#764282
C3×#19732
#720502
#706292
#702572
#701892
#698262
#696762
#696462
#212313