Finite Group Databasebeta

← #11804792

Subgroups — #11804792

Order 1152.

2621 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3802C211yesmaximal, characteristic
2C2×D3×(C2×D3)⋊C4C212yesmaximal, complemented
3C2×#63879C212yesmaximal, complemented
4#10592366C211yesmaximal, characteristic, complemented
5C3×#4665C212yesmaximal, complemented
6#10591399C212yesmaximal, complemented
7#10591386C212yesmaximal, complemented
8#10591376C212yesmaximal, complemented
9#10591260C211yesmaximal, characteristic, complemented
10#74878—32nomaximal
11C23×D32C2212yes—
12C22×C4×C3⋊D3C2211yescharacteristic
13C22×C3×D12C2212yes—
14C22×C3×C4×D3C2212yescomplemented
15C22×#625C2211yescharacteristic
16C22×#625C2211yescharacteristic
17C22×D3×Dic3C2212yescomplemented
18C2×#3802—28no—
19C2×#3802C418yescomplemented
20C2×#3752C2212yes—
21C2×#3750C2212yescomplemented
22C2×C3×(C2×D3)⋊C4C2212yescomplemented
23C2×C3×(C2×D3)⋊C4C2212yescomplemented
24C2×C3×(C2×D3)⋊C4C2212yescomplemented
25C2×#3722C2211yescharacteristic
26C2×#3722C2211yescharacteristic
27C2×(C2×D3)⋊Dic3C2212yescomplemented
28C2×(C2×D3)⋊Dic3C2212yescomplemented
29C2×(C2×D3)⋊Dic3C2212yescomplemented
30C2×Dic32C2212yescomplemented
31D3×(C2×D3)⋊C4—28no—
32#63879—28no—
33C32×#95C2211yescharacteristic, complemented
34#63658C2211yescharacteristic, complemented
35C3×C3⋊#95C2212yescomplemented
36C22×D3×D4—32no—
37C2×C4×#67—32no—
38C22×(C2×D3)⋊C4—32no—
39C2×#67⋊C4—32no—
40C2×D3×C22⋊C4—32no—
41C3×#386—32no—
42#5220—32no—
43#4957—32no—
44#4957—32no—
45#4955—32no—
46#4955—32no—
47#4667—32no—
48#4667—61no—
49#4666—32no—
50#4665—32no—
51#4665D312yescomplemented
52C23×C3⋊D3C2311yescharacteristic
53C23×C3×D3C2312yes—
54C23×C3×D3C2312yes—
55C22×D32—24no—
56C22×D32—24no—
57C22×D32—24no—
58C22×D32—24no—
59C22×D32—42no—
60C22×D32—42no—
61C22×D32C2×C418yescomplemented
62C22×C32×C4C2312yes—
63C22×C32×C4C2311yescharacteristic
64C22×C3⋊Dic3C2312yes—
65C22×C3⋊Dic3C2311yescharacteristic
66C2×C4×C3⋊D3—24no—
67C2×C4×C3⋊D3C2×C414yescomplemented
68C22×C3×Dic3C2312yes—
69C22×C3×Dic3C2312yes—
70C2×C3×D12—24no—
71C2×C3×D12—24no—
72C2×C3×D12C2×C418yescomplemented
73C2×C3×C4×D3—24no—
74C2×C3×C4×D3—24no—
75C2×C3×C4×D3—42no—
76C2×#625—24no—
77C2×#625C2×C414yes—
78C2×#625C2×C414yescomplemented
79C2×#625D418yes—
80C2×D3×Dic3—24no—
81C2×D3×Dic3—24no—
82C2×D3×Dic3—42no—
83#3802—232no—
84#3752—24no—
85#3750—24no—
86C3×(C2×D3)⋊C4—24no—
87C3×(C2×D3)⋊C4—24no—
88C3×(C2×D3)⋊C4—42no—
89#3722—22no—
90#3722D414yescomplemented
91(C2×D3)⋊Dic3—24no—
92(C2×D3)⋊Dic3—24no—
93(C2×D3)⋊Dic3—42no—
94Dic32—24no—
95D4×C22⋊C4—91noSylow
96C24×D3—32no—
97C24×D3—32no—
98C22×C3×D4—32no—
99C23×C3×C4—32no—
100C22×#67—32no—
101C22×#67—32no—
102C23×Dic3—32no—
103C2×D3×D4—316no—
104C2×D3×D4—68no—
105C2×D3×D4—68no—
106C22×D12C2×D312yes—
107C22×C4×D3—32no—
108C22×C4×D3—32no—
109C22×C4×D3—61no—
110C22×C4×D3C2×D312yescomplemented
111C2×C3×C22⋊C4—32no—
112C2×C3×C22⋊C4—32no—
113C2×C3×C22⋊C4—32no—
114C2×#217—32no—
115C2×#217—32no—
116C2×#217—32no—
117C4×#67—68no—
118C2×(C2×D3)⋊C4—32no—
119C2×(C2×D3)⋊C4—32no—
120C2×(C2×D3)⋊C4—32no—
121C2×(C2×D3)⋊C4—32no—
122C2×(C2×D3)⋊C4—32no—
123C2×(C2×D3)⋊C4—32no—
124C2×(C2×D3)⋊C4—32no—
125C2×(C2×D3)⋊C4—62no—
126C2×(C2×D3)⋊C4—68no—
127C2×(C2×D3)⋊C4C2×D312yescomplemented
128C2×(C2×D3)⋊C4C2×D312yescomplemented
129C2×(C2×D3)⋊C4C2×D312yescomplemented
130C2×Dic3⋊C4—32no—
131C2×Dic3⋊C4—32no—
132C2×Dic3⋊C4—62no—
133C2×C4×Dic3—32no—
134C2×C4×Dic3—32no—
135#67⋊C4—68no—
136D3×C22⋊C4—68no—
137C3×#95—21no—
138C3×#95—32no—
139C3×#95C2×D312yescomplemented
140C3⋊#95—32no—
141C3⋊#95—61no—
142C3⋊#95C2×D312yescomplemented
143C23×C32C2411yescharacteristic
144C22×C3⋊D3—22no—
145C22×C3⋊D3—22no—
146C22×C3⋊D3C22×C412yes—
147C22×C3⋊D3C2×D412yes—
148C22×C3⋊D3#4112yes—
149C22×C3×D3—22no—
150C22×C3×D3—22no—
151C22×C3×D3—22no—
152C22×C3×D3—22no—
153C22×C3×D3—22no—
154C22×C3×D3—22no—
155C22×C3×D3—22no—
156C22×C3×D3—22no—
157C22×C3×D3—22no—
158C22×C3×D3—22no—
159C22×C3×D3C22×C414yes—
160C22×C3×D3C22×C414yes—
161C22×C3×D3C2×D414yes—
162C22×C3×D3C2×D414yes—
163C2×D32—216no—
164C2×D32—216no—
165C2×D32—48no—
166C2×D32—48no—
167C2×D32—48no—
168C2×D32—48no—
169C2×D32—48no—
170C2×C32×C4—22no—
171C2×C32×C4—22no—
172C2×C32×C4—22no—
173C2×C32×C4—22no—
174C2×C32×C4C22×C412yes—
175C2×C3⋊Dic3—22no—
176C2×C3⋊Dic3—22no—
177C2×C3⋊Dic3—22no—
178C2×C3⋊Dic3C22×C412yes—
179C2×C3⋊Dic3C2×D414yes—
180C4×C3⋊D3—28no—
181C2×C3×Dic3—22no—
182C2×C3×Dic3—22no—
183C2×C3×Dic3—22no—
184C2×C3×Dic3—22no—
185C2×C3×Dic3—22no—
186C2×C3×Dic3C2×D414yescomplemented
187C3×D12—216no—
188C3×C4×D3—48no—
189#625—28no—
190#625C22⋊C4116yescomplemented
191D3×Dic3—48no—
192C23×D4—91no—
193C2×C4×D4—92no—
194C22×C22⋊C4—92no—
195#390—92no—
196#386—32no—
197#386—92no—
198#380—91no—
199#379—92no—
200C4×C22⋊C4—91no—
201C24×C3—32no—
202C24×C3—32no—
203C23×D3—32no—
204C23×D3—38no—
205C23×D3—38no—
206C23×D3—61no—
207C23×D3—64no—
208C23×D3—64no—
209C23×D3—64no—
210C23×D3—64no—
211C23×D3—64no—
212C23×D3—64no—
213C23×D3—64no—
214C23×D3—64no—
215C23×D3—122no—
216C23×D3—122no—
217C23×D3—122no—
218C23×D3—122no—
219C23×D3C22×D312yes—
220C23×D3C22×D312yes—
221C2×C3×D4—38no—
222C2×C3×D4—64no—
223C2×C3×D4—64no—
224C22×C3×C4—21no—
225C22×C3×C4—22no—
226C22×C3×C4—32no—
227C22×C3×C4—32no—
228C22×C3×C4—64no—
229C22×C3×C4—64no—
230C22×C3×C4—122no—
231C22×C3×C4C22×D312yes—
232C22×C3×C4C22×D312yes—
233C22×C3×C4C22×D312yes—
234C2×#67—38no—
235C2×#67—38no—
236C2×#67—38no—
237C2×#67—38no—
238C2×#67—64no—
239C2×#67—64no—
240C22×Dic3—32no—
241C22×Dic3—32no—
242C22×Dic3—32no—
243C22×Dic3—61no—
244C22×Dic3—62no—
245C22×Dic3—64no—
246C22×Dic3—64no—
247C22×Dic3—122no—
248C22×Dic3C22×D312yes—
249C22×Dic3C22×D312yes—
250D3×D4—664no—
251C2×D12—24no—
252C2×D12—24no—
253C2×D12C4×D318yescomplemented
254C2×C4×D3—24no—
255C2×C4×D3—24no—
256C2×C4×D3—38no—
257C2×C4×D3—42no—
258C2×C4×D3—64no—
259C2×C4×D3—64no—
260C2×C4×D3—64no—
261C2×C4×D3—64no—
262C2×C4×D3—64no—
263C2×C4×D3—124no—
264C2×C4×D3—122no—
265C3×C22⋊C4—64no—
266C3×C22⋊C4—64no—
267C3×C22⋊C4—122no—
268#217—64no—
269#217—64no—
270#217—122no—
271(C2×D3)⋊C4—24no—
272(C2×D3)⋊C4—24no—
273(C2×D3)⋊C4—38no—
274(C2×D3)⋊C4—42no—
275(C2×D3)⋊C4—64no—
276(C2×D3)⋊C4—64no—
277(C2×D3)⋊C4—64no—
278(C2×D3)⋊C4—64no—
279(C2×D3)⋊C4—64no—
280(C2×D3)⋊C4—124no—
281(C2×D3)⋊C4—122no—
282Dic3⋊C4—64no—
283Dic3⋊C4—64no—
284Dic3⋊C4—124no—
285C4×Dic3—64no—
286C4×Dic3—64no—
287C22×C32C23×C411yescharacteristic
288C22×C32C22×D412yes—
289C22×C32C22×D411yescharacteristic
290C22×C32C2×#4111yescharacteristic
291C22×C32H(5,𝔽2)12yes—
292C2×C3⋊D3—22no—
293C2×C3⋊D3—22no—
294C2×C3⋊D3—24no—
295C2×C3⋊D3—24no—
296C2×C3⋊D3C4×D414yescomplemented
297C2×C3×D3—24no—
298C2×C3×D3—24no—
299C2×C3×D3—24no—
300C2×C3×D3—24no—
301C2×C3×D3—24no—
302C2×C3×D3—24no—
303C2×C3×D3—24no—
304C2×C3×D3—24no—
305C2×C3×D3—24no—
306C2×C3×D3—42no—
307C2×C3×D3—42no—
308C2×C3×D3—42no—
309C2×C3×D3—42no—
310C2×C3×D3C2×C22⋊C418yescomplemented
311D32—432no—
312C32×C4—22no—
313C32×C4—42no—
314C3⋊Dic3—42no—
315C3⋊Dic3C2×C22⋊C414yescomplemented
316C3×Dic3—24no—
317C3×Dic3—42no—
318C25—92no—
319C22×D4—32no—
320C22×D4—98no—
321C22×D4—91no—
322C22×D4—91no—
323C22×D4—188no—
324C23×C4—32no—
325C23×C4—92no—
326C23×C4—91no—
327C4×D4—188no—
328C2×C4⋊C4—92no—
329C2×C22⋊C4—32no—
330C2×C22⋊C4—32no—
331C2×C22⋊C4—32no—
332C2×C22⋊C4—91no—
333C2×C22⋊C4—91no—
334C2×C22⋊C4—92no—
335C2×C22⋊C4—92no—
336C2×C22⋊C4—92no—
337C2×C22⋊C4—92no—
338C2×C22⋊C4—188no—
339C2×C42—92no—
340#95—32no—
341#95—91no—
342#95D3211yescharacteristic, complemented
343C23×C3—21no—
344C23×C3—34no—
345C23×C3—34no—
346C23×C3—34no—
347C23×C3—34no—
348C23×C3—62no—
349C23×C3—62no—
350C23×C3—62no—
351C23×C3—62no—
352C23×C3—62no—
353C23×C3—62no—
354C23×C3—62no—
355C23×C3—62no—
356C23×C3—62no—
357C23×C3—62no—
358C23×C3C23×D312yes—
359C22×D3—22no—
360C22×D3—22no—
361C22×D3—22no—
362C22×D3—22no—
363C22×D3—22no—
364C22×D3—22no—
365C22×D3—22no—
366C22×D3—22no—
367C22×D3—22no—
368C22×D3—22no—
369C22×D3—34no—
370C22×D3—34no—
371C22×D3—34no—
372C22×D3—62no—
373C22×D3—62no—
374C22×D3—62no—
375C22×D3—616no—
376C22×D3—616no—
377C22×D3—616no—
378C22×D3—62no—
379C22×D3—62no—
380C22×D3—62no—
381C22×D3—62no—
382C22×D3—616no—
383C22×D3—122no—
384C22×D3—122no—
385C22×D3—128no—
386C22×D3—128no—
387C22×D3—128no—
388C22×D3—128no—
389C22×D3—128no—
390C22×D3—128no—
391C22×D3—128no—
392C22×D3—128no—
393C22×D3—128no—
394C22×D3—128no—
395C22×D3C2×C4×D314yes—
396C22×D3C2×C4×D314yes—
397C22×D3D3×D414yes—
398C22×D3D3×D414yes—
399C3×D4—616no—
400C2×C3×C4—22no—
401C2×C3×C4—22no—
402C2×C3×C4—22no—
403C2×C3×C4—22no—
404C2×C3×C4—22no—
405C2×C3×C4—22no—
406C2×C3×C4—22no—
407C2×C3×C4—22no—
408C2×C3×C4—22no—
409C2×C3×C4—34no—
410C2×C3×C4—42no—
411C2×C3×C4—42no—
412C2×C3×C4—42no—
413C2×C3×C4—42no—
414C2×C3×C4—62no—
415C2×C3×C4—62no—
416C2×C3×C4—62no—
417C2×C3×C4—62no—
418C2×C3×C4—62no—
419C2×C3×C4—128no—
420C2×C3×C4C2×C4×D314yes—
421#67—332no—
422#67—616no—
423C2×Dic3—22no—
424C2×Dic3—22no—
425C2×Dic3—22no—
426C2×Dic3—22no—
427C2×Dic3—22no—
428C2×Dic3—34no—
429C2×Dic3—34no—
430C2×Dic3—34no—
431C2×Dic3—62no—
432C2×Dic3—64no—
433C2×Dic3—62no—
434C2×Dic3—62no—
435C2×Dic3—62no—
436C2×Dic3—62no—
437C2×Dic3—62no—
438C2×Dic3—62no—
439C2×Dic3—122no—
440C2×Dic3—122no—
441C2×Dic3—122no—
442C2×Dic3—128no—
443C2×Dic3D3×D414yescomplemented
444D12—216no—
445C4×D3—48no—
446C4×D3—616no—
447C4×D3—128no—
448C4×D3—128no—
449C2×C32C22×C22⋊C411yescharacteristic
450C2×C32C2×C4×D411yescharacteristic
451C2×C32#51811yescharacteristic
452C2×C32D4212yes—
453C2×C32#54612yes—
454C3⋊D3—24no—
455C3×D3—28no—
456C3×D3—44no—
457C24—32no—
458C24—32no—
459C24—98no—
460C24—91no—
461C24—184no—
462C24—184no—
463C24—184no—
464C24—184no—
465C24—362no—
466C24—362no—
467C2×D4—38no—
468C2×D4—64no—
469C2×D4—64no—
470C2×D4—98no—
471C2×D4—94no—
472C2×D4—94no—
473C2×D4—184no—
474C2×D4—1832no—
475C22×C4—32no—
476C22×C4—32no—
477C22×C4—64no—
478C22×C4—64no—
479C22×C4—91no—
480C22×C4—94no—
481C22×C4—92no—
482C22×C4—122no—
483C22×C4—184no—
484C22×C4—184no—
485C22×C4—184no—
486C22×C4—362no—
487C22×C4C2×D3212yes—
488C22×C4C2×D3211yescharacteristic
489C4⋊C4—184no—
490C22⋊C4—64no—
491C22⋊C4—64no—
492C22⋊C4—94no—
493C22⋊C4—122no—
494C22⋊C4—184no—
495C22⋊C4—184no—
496C22⋊C4—182no—
497C22⋊C4—184no—
498C22⋊C4—362no—
499C42—184no—
500C22×C3—21no—
501C22×C3—22no—
502C22×C3—22no—
503C22×C3—21no—
504C22×C3—21no—
505C22×C3—38no—
506C22×C3—64no—
507C22×C3—64no—
508C22×C3—64no—
509C22×C3—64no—
510C22×C3—64no—
511C22×C3—64no—
512C22×C3—64no—
513C22×C3—64no—
514C22×C3—64no—
515C22×C3—122no—
516C22×C3—122no—
517C22×C3—122no—
518C22×C3—122no—
519C22×C3C22×C4×D312yes—
520C22×C3C2×D3×D412yes—
521C22×C3C2×D3×D412yes—
522C22×C3C2×D3×D412yes—
523C22×C3#100412yes—
524C22×C3D3×#4112yes—
525C22×C3#100912yes—
526C2×D3—24no—
527C2×D3—24no—
528C2×D3—24no—
529C2×D3—24no—
530C2×D3—24no—
531C2×D3—24no—
532C2×D3—24no—
533C2×D3—24no—
534C2×D3—24no—
535C2×D3—38no—
536C2×D3—42no—
537C2×D3—42no—
538C2×D3—42no—
539C2×D3—42no—
540C2×D3—64no—
541C2×D3—64no—
542C2×D3—64no—
543C2×D3—64no—
544C2×D3—64no—
545C2×D3—64no—
546C2×D3—64no—
547C2×D3—122no—
548C2×D3—124no—
549C2×D3—122no—
550C2×D3—124no—
551C2×D3—1232no—
552C2×D3—1232no—
553C2×D3D3×C22⋊C418yescomplemented
554C3×C4—24no—
555C3×C4—42no—
556C3×C4—42no—
557C3×C4—42no—
558C3×C4—64no—
559C3×C4—82no—
560C3×C4—122no—
561Dic3—24no—
562Dic3—38no—
563Dic3—42no—
564Dic3—64no—
565Dic3—122no—
566Dic3—122no—
567Dic3—242no—
568C32D4×C22⋊C411yescharacteristic, complemented, Sylow
569C23—34no—
570C23—34no—
571C23—34no—
572C23—34no—
573C23—62no—
574C23—62no—
575C23—62no—
576C23—62no—
577C23—62no—
578C23—62no—
579C23—62no—
580C23—62no—
581C23—62no—
582C23—62no—
583C23—92no—
584C23—92no—
585C23—92no—
586C23—1816no—
587C23—1816no—
588C23—182no—
589C23—182no—
590C23—368no—
591C23—368no—
592C23—368no—
593C23—368no—
594C23—368no—
595C23C22×D3211yescharacteristic
596D4—616no—
597D4—916no—
598D4—188no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—34no—
604C2×C4—62no—
605C2×C4—62no—
606C2×C4—62no—
607C2×C4—62no—
608C2×C4—62no—
609C2×C4—92no—
610C2×C4—94no—
611C2×C4—128no—
612C2×C4—188no—
613C2×C4—182no—
614C2×C4—182no—
615C2×C4—182no—
616C2×C4—368no—
617C2×C4C4×D3212yes—
618C2×C3—21no—
619C2×C3—22no—
620C2×C3—21no—
621C2×C3—21no—
622C2×C3—22no—
623C2×C3—68no—
624C2×C3—124no—
625C2×C3C2×D3×C22⋊C412yes—
626C2×C3C4×D3×D412yes—
627C2×C3#554512yes—
628C2×C3#559012yes—
629C2×C3#560912yes—
630C2×C3#561012yes—
631C2×C3#565412yes—
632D3—28no—
633D3—44no—
634D3—68no—
635D3—124no—
636C22—38no—
637C22—64no—
638C22—64no—
639C22—64no—
640C22—64no—
641C22—64no—
642C22—64no—
643C22—64no—
644C22—64no—
645C22—64no—
646C22—94no—
647C22—122no—
648C22—122no—
649C22—122no—
650C22—122no—
651C22—184no—
652C22—182no—
653C22—182no—
654C22—184no—
655C22—3632no—
656C22C2×C4×D3211yescharacteristic
657C22#6430712yes—
658C22D32×D411yescharacteristic
659C22D32×D412yes—
660C22#6431911yescharacteristic
661C4—22no—
662C4—42no—
663C4—64no—
664C4—94no—
665C4—122no—
666C4—362no—
667C3—21no—
668C3#7487812yescomplemented
669C2—68no—
670C2—124no—
671C2—184no—
672C2#1059399611yescharacteristic
673C2D32×C22⋊C411yescharacteristic
674C2#1059427512yes—
675C2#1059460511yescharacteristic
676C2#1059461712yes—
subgroupG/H
center, FrattiniC23C22×D32
commutatorC22×C32C23×C4
FittingC32×#95C22
socle, cosocleC23×C32C24
prime radicalC22×#3802C2
hypercenter#95D32
hypocenterC32D4×C22⋊C4
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ #95

Complements

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

NH ≅ G/Ntype
2. C2×D3×(C2×D3)⋊C4C2semidirect
3. C2×#63879C2semidirect
4. #10592366C2semidirect
5. C3×#4665C2semidirect
6. #10591399C2semidirect
7. #10591386C2semidirect
8. #10591376C2semidirect
9. #10591260C2semidirect
14. C22×C3×C4×D3C22semidirect
17. C22×D3×Dic3C22semidirect
19. C2×#3802C4semidirect
21. C2×#3750C22semidirect
22. C2×C3×(C2×D3)⋊C4C22semidirect
23. C2×C3×(C2×D3)⋊C4C22semidirect
24. C2×C3×(C2×D3)⋊C4C22semidirect
27. C2×(C2×D3)⋊Dic3C22semidirect
28. C2×(C2×D3)⋊Dic3C22semidirect
29. C2×(C2×D3)⋊Dic3C22semidirect
30. C2×Dic32C22semidirect
33. C32×#95C22semidirect
34. #63658C22semidirect
35. C3×C3⋊#95C22semidirect
51. #4665D3semidirect
61. C22×D32C2×C4semidirect
67. C2×C4×C3⋊D3C2×C4semidirect
72. C2×C3×D12C2×C4semidirect
78. C2×#625C2×C4semidirect
90. #3722D4semidirect
110. C22×C4×D3C2×D3semidirect
127. C2×(C2×D3)⋊C4C2×D3semidirect
128. C2×(C2×D3)⋊C4C2×D3semidirect
129. C2×(C2×D3)⋊C4C2×D3semidirect
139. C3×#95C2×D3semidirect
142. C3⋊#95C2×D3semidirect
186. C2×C3×Dic3C2×D4semidirect
190. #625C22⋊C4semidirect
253. C2×D12C4×D3semidirect
296. C2×C3⋊D3C4×D4semidirect
310. C2×C3×D3C2×C22⋊C4semidirect
315. C3⋊Dic3C2×C22⋊C4semidirect
342. #95D32semidirect
443. C2×Dic3D3×D4semidirect
553. C2×D3D3×C22⋊C4semidirect
568. C32D4×C22⋊C4semidirect
668. C3#74878semidirect

Maximal subgroups

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

subgroupindex
C22×#38022
C2×D3×(C2×D3)⋊C42
C2×#638792
#105923662
C3×#46652
#105913992
#105913862
#105913762
#105912602
#748783