Finite Group Databasebeta

← #10720122

Subgroups — #10720122

Order 768.

2366 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×Dic3⋊C4C211yesmaximal, characteristic
2C2×#5210C211yesmaximal, characteristic
3C2×#4950C211yesmaximal, characteristic
4C2×#4942C211yesmaximal, characteristic
5C2×Dic3×C22⋊C4C211yesmaximal, characteristic
6C2×#4647C212yesmaximal, complemented
7C3×C22⋊#95C211yesmaximal, characteristic
8#71544C211yesmaximal, characteristic
9#69420C212yesmaximal, complemented
10#69414C212yesmaximal, complemented
11Dic3⋊#95C212yesmaximal, complemented
12#14130—31nomaximal, Sylow
13C24×C3×C4C2211yescharacteristic
14C24×Dic3C2211yescharacteristic
15C24×Dic3C2211yescharacteristic
16C22×C3×C22⋊C4C2211yescharacteristic
17C22×C3×C22⋊C4C2211yescharacteristic
18C22×#217C2211yescharacteristic
19C22×#217C2211yescharacteristic
20C22×C4⋊Dic3C2212yes—
21C22×Dic3⋊C4—24no—
22C22×Dic3⋊C4—28no—
23C22×Dic3⋊C4C2212yes—
24C22×Dic3⋊C4C2212yes—
25C22×Dic3⋊C4C2212yes—
26C22×Dic3⋊C4C2212yes—
27C22×C4×Dic3C2211yescharacteristic
28C22×C4×Dic3C2211yescharacteristic
29C2×C3×#95C2212yes—
30C2×C3×#95C2212yes—
31#5210—24no—
32C2×C3⋊#95C2212yes—
33C2×C3⋊#95C2212yes—
34C2×C3⋊#95C2211yescharacteristic
35C2×C3⋊#95C2212yes—
36C2×C3⋊#95C2211yescharacteristic
37C2×C3⋊#95C2212yes—
38C2×C3⋊#95C2212yes—
39#4950—24no—
40#4942C418yescomplemented
41Dic3×C22⋊C4—24no—
42#4647—28no—
43C23×C4⋊C4—31no—
44C2×#389—32no—
45C2×#385—31no—
46C2×#385—31no—
47C2×#380—31no—
48C2×C4×C22⋊C4—31no—
49#1444—32no—
50#1442—32no—
51C4⋊#95—32no—
52C22⋊#95—31no—
53C22⋊#95D311yescharacteristic
54C25×C3C2311yescharacteristic
55C23×C3×C4—22no—
56C23×C3×C4—24no—
57C23×C3×C4—22no—
58C23×C3×C4—22no—
59C23×C3×C4—42no—
60C23×C3×C4C2312yes—
61C23×C3×C4C2312yes—
62C23×C3×C4C2311yescharacteristic
63C23×C3×C4C2311yescharacteristic
64C23×Dic3—24no—
65C23×Dic3—24no—
66C23×Dic3—22no—
67C23×Dic3—24no—
68C23×Dic3—22no—
69C23×Dic3—22no—
70C23×Dic3—42no—
71C23×Dic3C2×C414yes—
72C23×Dic3D414yes—
73C23×Dic3Q814yes—
74C23×Dic3C2312yes—
75C23×Dic3C2312yes—
76C23×Dic3C2311yescharacteristic
77C23×Dic3C2311yescharacteristic
78C23×Dic3C2311yescharacteristic
79C23×Dic3C2311yescharacteristic
80C2×C3×C22⋊C4—22no—
81C2×C3×C22⋊C4—22no—
82C2×C3×C22⋊C4—22no—
83C2×C3×C22⋊C4—22no—
84C2×C3×C22⋊C4C2×C414yes—
85C2×C3×C22⋊C4Q814yes—
86C2×#217—22no—
87C2×#217—22no—
88C2×#217—22no—
89C2×#217—22no—
90C2×#217C2×C414yes—
91C2×#217D414yes—
92C2×C4⋊Dic3—24no—
93C2×C4⋊Dic3—24no—
94C2×C4⋊Dic3—42no—
95C2×Dic3⋊C4—232no—
96C2×Dic3⋊C4—24no—
97C2×Dic3⋊C4—24no—
98C2×Dic3⋊C4—24no—
99C2×Dic3⋊C4—24no—
100C2×Dic3⋊C4—24no—
101C2×Dic3⋊C4—24no—
102C2×Dic3⋊C4—24no—
103C2×Dic3⋊C4—24no—
104C2×Dic3⋊C4—24no—
105C2×Dic3⋊C4—42no—
106C2×Dic3⋊C4C2×C418yescomplemented
107C2×Dic3⋊C4D418yes—
108C2×C4×Dic3—24no—
109C2×C4×Dic3—22no—
110C2×C4×Dic3—22no—
111C2×C4×Dic3—24no—
112C3×#95—24no—
113C3×#95—42no—
114C3⋊#95—24no—
115C3⋊#95—22no—
116C3⋊#95—22no—
117C3⋊#95—24no—
118C3⋊#95—24no—
119C3⋊#95—42no—
120C3⋊#95C2×C418yescomplemented
121C24×C4—31no—
122C24×C4—31no—
123C24×C4C2×D311yescharacteristic
124C22×C4⋊C4—32no—
125C22×C4⋊C4—32no—
126C22×C4⋊C4—32no—
127C22×C4⋊C4—32no—
128C22×C4⋊C4—32no—
129C22×C4⋊C4—68no—
130C22×C4⋊C4—64no—
131C22×C22⋊C4—31no—
132C22×C22⋊C4—31no—
133C22×C22⋊C4C2×D311yescharacteristic
134C22×C22⋊C4C2×D311yescharacteristic
135C22×C42—31no—
136C22×C42—31no—
137#389—68no—
138#385—64no—
139#385—64no—
140#380—38no—
141C4×C22⋊C4—64no—
142C2×#95—32no—
143C2×#95—32no—
144C2×#95—32no—
145C2×#95—32no—
146C2×#95—31no—
147C2×#95—31no—
148C2×#95—32no—
149C2×#95C2×D312yes—
150C2×#95C2×D312yes—
151C24×C3—22no—
152C24×C3—22no—
153C24×C3—22no—
154C24×C3—22no—
155C24×C3C22×C412yes—
156C24×C3C2×D412yes—
157C24×C3C2×D412yes—
158C24×C3C2×Q812yes—
159C24×C3C2×Q812yes—
160C24×C3#4112yes—
161C24×C3#4112yes—
162C24×C3C2411yescharacteristic
163C22×C3×C4—28no—
164C22×C3×C4—22no—
165C22×C3×C4—21no—
166C22×C3×C4—21no—
167C22×C3×C4—22no—
168C22×C3×C4—22no—
169C22×C3×C4—22no—
170C22×C3×C4—22no—
171C22×C3×C4—22no—
172C22×C3×C4—22no—
173C22×C3×C4—22no—
174C22×C3×C4—22no—
175C22×C3×C4—21no—
176C22×C3×C4—21no—
177C22×C3×C4—22no—
178C22×C3×C4—22no—
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—22no—
182C22×C3×C4—22no—
183C22×C3×C4—22no—
184C22×C3×C4—48no—
185C22×C3×C4—48no—
186C22×C3×C4—44no—
187C22×C3×C4—44no—
188C22×C3×C4C22×C414yes—
189C22×C3×C4C2×D414yes—
190C22×C3×C4C2×Q812yes—
191C22×C3×C4C2×Q812yes—
192C22×Dic3—22no—
193C22×Dic3—22no—
194C22×Dic3—216no—
195C22×Dic3—28no—
196C22×Dic3—216no—
197C22×Dic3—28no—
198C22×Dic3—28no—
199C22×Dic3—21no—
200C22×Dic3—21no—
201C22×Dic3—22no—
202C22×Dic3—22no—
203C22×Dic3—22no—
204C22×Dic3—22no—
205C22×Dic3—22no—
206C22×Dic3—22no—
207C22×Dic3—22no—
208C22×Dic3—22no—
209C22×Dic3—21no—
210C22×Dic3—21no—
211C22×Dic3—22no—
212C22×Dic3—22no—
213C22×Dic3—22no—
214C22×Dic3—22no—
215C22×Dic3—22no—
216C22×Dic3—22no—
217C22×Dic3—22no—
218C22×Dic3—22no—
219C22×Dic3—48no—
220C22×Dic3—48no—
221C22×Dic3—44no—
222C22×Dic3—44no—
223C22×Dic3C4⋊C4116yescomplemented
224C22×Dic3C22×C414yes—
225C22×Dic3C22×C412yes—
226C22×Dic3C22×C412yes—
227C22×Dic3C2×D412yes—
228C22×Dic3C2×D414yes—
229C22×Dic3C2×D412yes—
230C22×Dic3C2×D412yes—
231C22×Dic3C2×D412yes—
232C22×Dic3C2×D414yes—
233C22×Dic3C2×Q812yes—
234C22×Dic3C2×Q812yes—
235C22×Dic3#4114yes—
236C3×C22⋊C4—28no—
237C3×C22⋊C4—28no—
238#217—28no—
239#217—28no—
240C4⋊Dic3—48no—
241Dic3⋊C4—216no—
242Dic3⋊C4—216no—
243Dic3⋊C4—216no—
244Dic3⋊C4—48no—
245C4×Dic3—44no—
246C4×Dic3—44no—
247C25C22×D311yescharacteristic
248C23×C4—22no—
249C23×C4—24no—
250C23×C4—22no—
251C23×C4—22no—
252C23×C4—31no—
253C23×C4—34no—
254C23×C4—34no—
255C23×C4—34no—
256C23×C4—31no—
257C23×C4—31no—
258C23×C4—32no—
259C23×C4—31no—
260C23×C4—32no—
261C23×C4—42no—
262C23×C4—64no—
263C23×C4—64no—
264C23×C4—64no—
265C23×C4—62no—
266C23×C4—62no—
267C23×C4—62no—
268C23×C4—122no—
269C23×C4C22×D311yescharacteristic
270C23×C4C22×D311yescharacteristic
271C23×C4C22×D312yes—
272C23×C4C22×D312yes—
273C2×C4⋊C4—38no—
274C2×C4⋊C4—38no—
275C2×C4⋊C4—64no—
276C2×C4⋊C4—64no—
277C2×C4⋊C4—64no—
278C2×C4⋊C4—64no—
279C2×C4⋊C4—64no—
280C2×C4⋊C4—64no—
281C2×C4⋊C4—632no—
282C2×C4⋊C4—64no—
283C2×C4⋊C4—64no—
284C2×C4⋊C4—64no—
285C2×C4⋊C4—64no—
286C2×C4⋊C4—64no—
287C2×C4⋊C4—122no—
288C2×C4⋊C4—122no—
289C2×C22⋊C4—22no—
290C2×C22⋊C4—22no—
291C2×C22⋊C4—22no—
292C2×C22⋊C4—22no—
293C2×C22⋊C4—34no—
294C2×C22⋊C4—34no—
295C2×C22⋊C4—62no—
296C2×C22⋊C4—62no—
297C2×C22⋊C4—62no—
298C2×C22⋊C4—62no—
299C2×C22⋊C4Dic614yes—
300C2×C22⋊C4C4×D314yes—
301C2×C42—62no—
302C2×C42—62no—
303C2×C42—64no—
304C2×C42—64no—
305#95—24no—
306#95—38no—
307#95—42no—
308#95—62no—
309#95—62no—
310#95—64no—
311#95—64no—
312#95—64no—
313#95—122no—
314C23×C3—24no—
315C23×C3—24no—
316C23×C3—22no—
317C23×C3—24no—
318C23×C3—22no—
319C23×C3—22no—
320C23×C3—22no—
321C23×C3—24no—
322C23×C3—24no—
323C23×C3—24no—
324C23×C3—24no—
325C23×C3—24no—
326C23×C3—24no—
327C23×C3—24no—
328C23×C3—24no—
329C23×C3—24no—
330C23×C3C2×C4⋊C414yes—
331C23×C3C4×D414yes—
332C23×C3C4×Q814yes—
333C23×C3#12114yes—
334C23×C3C22⋊Q814yes—
335C23×C3#12514yes—
336C23×C3C4⋊Q814yes—
337C23×C3C23×C411yescharacteristic
338C23×C3C22×D411yescharacteristic
339C23×C3C22×D412yes—
340C23×C3C22×D411yescharacteristic
341C23×C3C22×Q811yescharacteristic
342C23×C3C22×Q811yescharacteristic
343C23×C3C2×#4111yescharacteristic
344C23×C3C2×#4111yescharacteristic
345C23×C3C2×#4112yes—
346C23×C3H(5,𝔽2)12yes—
347C23×C32−1+412yes—
348C2×C3×C4—24no—
349C2×C3×C4—24no—
350C2×C3×C4—24no—
351C2×C3×C4—24no—
352C2×C3×C4—22no—
353C2×C3×C4—22no—
354C2×C3×C4—24no—
355C2×C3×C4—24no—
356C2×C3×C4—24no—
357C2×C3×C4—24no—
358C2×C3×C4—416no—
359C2×C3×C4—41no—
360C2×C3×C4—42no—
361C2×C3×C4—41no—
362C2×C3×C4—41no—
363C2×C3×C4—42no—
364C2×C3×C4—41no—
365C2×C3×C4—42no—
366C2×C3×C4—42no—
367C2×C3×C4—42no—
368C2×C3×C4—42no—
369C2×C3×C4—42no—
370C2×C3×C4—42no—
371C2×C3×C4—42no—
372C2×C3×C4—42no—
373C2×Dic3—24no—
374C2×Dic3—22no—
375C2×Dic3—24no—
376C2×Dic3—22no—
377C2×Dic3—232no—
378C2×Dic3—24no—
379C2×Dic3—24no—
380C2×Dic3—24no—
381C2×Dic3—24no—
382C2×Dic3—22no—
383C2×Dic3—22no—
384C2×Dic3—24no—
385C2×Dic3—24no—
386C2×Dic3—24no—
387C2×Dic3—24no—
388C2×Dic3—416no—
389C2×Dic3—41no—
390C2×Dic3—42no—
391C2×Dic3—41no—
392C2×Dic3—41no—
393C2×Dic3—42no—
394C2×Dic3—41no—
395C2×Dic3—42no—
396C2×Dic3—42no—
397C2×Dic3—42no—
398C2×Dic3—42no—
399C2×Dic3—42no—
400C2×Dic3—42no—
401C2×Dic3—42no—
402C2×Dic3—42no—
403C2×Dic3C2×C4⋊C414yes—
404C2×Dic3C2×C4⋊C414yes—
405C2×Dic3C4×D418yes—
406C2×Dic3#12014yes—
407C2×Dic3C22⋊Q818yes—
408C2×Dic3#12314yes—
409C24—22no—
410C24—22no—
411C24—22no—
412C24—22no—
413C24C2×Dic612yes—
414C24C2×C4×D312yes—
415C24#23512yes—
416C24D3×D412yes—
417C24D3×D412yes—
418C24#23712yes—
419C24D3×Q812yes—
420C24C23×D311yescharacteristic
421C22×C4—28no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—32no—
443C22×C4—32no—
444C22×C4—34no—
445C22×C4—32no—
446C22×C4—34no—
447C22×C4—316no—
448C22×C4—32no—
449C22×C4—32no—
450C22×C4—32no—
451C22×C4—34no—
452C22×C4—32no—
453C22×C4—34no—
454C22×C4—32no—
455C22×C4—48no—
456C22×C4—48no—
457C22×C4—44no—
458C22×C4—44no—
459C22×C4—68no—
460C22×C4—68no—
461C22×C4—616no—
462C22×C4—616no—
463C22×C4—62no—
464C22×C4—62no—
465C22×C4—68no—
466C22×C4—61no—
467C22×C4—61no—
468C22×C4—62no—
469C22×C4—61no—
470C22×C4—61no—
471C22×C4—62no—
472C22×C4—62no—
473C22×C4—62no—
474C22×C4—62no—
475C22×C4—62no—
476C22×C4—62no—
477C22×C4—62no—
478C22×C4—62no—
479C22×C4—62no—
480C22×C4—62no—
481C22×C4—62no—
482C22×C4—62no—
483C22×C4—62no—
484C22×C4—62no—
485C22×C4—62no—
486C22×C4—128no—
487C22×C4—128no—
488C22×C4—124no—
489C22×C4—124no—
490C22×C4C2×Dic612yes—
491C22×C4C2×Dic612yes—
492C22×C4C2×C4×D314yes—
493C22×C4D3×D414yes—
494C4⋊C4—616no—
495C4⋊C4—616no—
496C4⋊C4—616no—
497C4⋊C4—128no—
498C4⋊C4—128no—
499C22⋊C4—28no—
500C22⋊C4—28no—
501C22⋊C4—68no—
502C22⋊C4—68no—
503C42—124no—
504C42—124no—
505C22×C3—24no—
506C22×C3—28no—
507C22×C3—28no—
508C22×C3—24no—
509C22×C3—24no—
510C22×C3—28no—
511C22×C3—28no—
512C22×C3—24no—
513C22×C3—24no—
514C22×C3—24no—
515C22×C3#38918yescomplemented
516C22×C3C22×C4⋊C411yescharacteristic
517C22×C3C2×C4×D411yescharacteristic
518C22×C3C2×C4×D412yes—
519C22×C3C2×C4×Q811yescharacteristic
520C22×C3#52012yes—
521C22×C3C2×#12011yescharacteristic
522C22×C3C2×#12111yescharacteristic
523C22×C3C2×C22⋊Q811yescharacteristic
524C22×C3C2×C22⋊Q812yes—
525C22×C3C2×#12311yescharacteristic
526C22×C3C2×#12511yescharacteristic
527C22×C3C2×C4⋊Q811yescharacteristic
528C22×C3#53511yescharacteristic
529C22×C3#53611yescharacteristic
530C22×C3#54412yes—
531C22×C3D4212yes—
532C22×C3#54612yes—
533C22×C3#54712yes—
534C22×C3#54812yes—
535C22×C3D4×Q812yes—
536C22×C3#55212yes—
537C22×C3#55312yes—
538C22×C3#55412yes—
539C3×C4—44no—
540C3×C4—44no—
541C3×C4—42no—
542C3×C4—42no—
543Dic3—24no—
544Dic3—44no—
545Dic3—42no—
546Dic3—44no—
547Dic3—42no—
548Dic3#38518yescomplemented
549C23—22no—
550C23—22no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—22no—
559C23—24no—
560C23—22no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23C4×Dic614yes—
566C23#87814yes—
567C23#67⋊C414yes—
568C23#88414yes—
569C23#88814yes—
570C23#88914yes—
571C23D3×C4⋊C414yes—
572C23C22×Dic611yescharacteristic
573C23C22×C4×D311yescharacteristic
574C23C2×#23511yescharacteristic
575C23C2×D3×D411yescharacteristic
576C23C2×D3×D411yescharacteristic
577C23C2×D3×D412yes—
578C23C2×#23711yescharacteristic
579C23#100412yes—
580C23C2×D3×Q811yescharacteristic
581C23D3×#4112yes—
582C23#101012yes—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—34no—
594C2×C4—34no—
595C2×C4—38no—
596C2×C4—34no—
597C2×C4—38no—
598C2×C4—34no—
599C2×C4—416no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—41no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—41no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—632no—
615C2×C4—62no—
616C2×C4—64no—
617C2×C4—62no—
618C2×C4—64no—
619C2×C4—64no—
620C2×C4—64no—
621C2×C4—62no—
622C2×C4—62no—
623C2×C4—64no—
624C2×C4—64no—
625C2×C4—64no—
626C2×C4—64no—
627C2×C4—64no—
628C2×C4—64no—
629C2×C4—1216no—
630C2×C4—121no—
631C2×C4—121no—
632C2×C4—122no—
633C2×C4—122no—
634C2×C4—122no—
635C2×C4—122no—
636C2×C4—122no—
637C2×C4—121no—
638C2×C4—122no—
639C2×C4—122no—
640C2×C4—122no—
641C2×C4—121no—
642C2×C4—122no—
643C2×C4—122no—
644C2×C3—28no—
645C2×C3C2×#38511yescharacteristic
646C2×C3C2×#38911yescharacteristic
647C2×C3#231711yescharacteristic
648C2×C3#236012yes—
649C2×C3#236112yes—
650C2×C3#240811yescharacteristic
651C2×C3#240911yescharacteristic
652C2×C3#244012yes—
653C2×C3#244212yes—
654C2×C3#248611yescharacteristic
655C2×C3#248711yescharacteristic
656C22—24no—
657C22—24no—
658C22—24no—
659C22—24no—
660C22—28no—
661C22—28no—
662C22—28no—
663C22—24no—
664C22—24no—
665C22—28no—
666C22#464718yescomplemented
667C22C2×C4×Dic611yescharacteristic
668C22C2×#87811yescharacteristic
669C22C2×#67⋊C411yescharacteristic
670C22C2×#88411yescharacteristic
671C22#549012yes—
672C22C2×#88811yescharacteristic
673C22C2×#88911yescharacteristic
674C22C2×D3×C4⋊C411yescharacteristic
675C22#553112yes—
676C22D4×Dic612yes—
677C22#553912yes—
678C22C4×D3×D412yes—
679C22#554612yes—
680C22D3×#12011yescharacteristic
681C22#559012yes—
682C22#559211yescharacteristic
683C22#559812yes—
684C22#560112yes—
685C22#562312yes—
686C22D3×C22⋊Q812yes—
687C22#564811yescharacteristic
688C22D3×#12311yescharacteristic
689C22#565512yes—
690C4—38no—
691C4—44no—
692C4—44no—
693C4—42no—
694C4—42no—
695C4—64no—
696C4—122no—
697C4—124no—
698C4—122no—
699C4—124no—
700C3#1413011yescharacteristic, complemented, Sylow
701C2—28no—
702C2C2×#464711yescharacteristic
703C2#7346612yes—
704C2#7382411yescharacteristic
705C2#7390212yes—
706C2#7407511yescharacteristic
707C2#7438211yescharacteristic
708C2#7441612yes—
709C2D3×#38511yescharacteristic
710C2#7467612yes—
711C2#7468911yescharacteristic
712C2#7473811yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutatorC23×C3C23×C4
FittingC3×C22⋊#95C2
socle, cosocleC24×C3C24
prime radicalC25×C3C23
hypercenterC22⋊#95D3
hypocenterC3#14130
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C24 ◁ C22⋊#95

Complements

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

NH ≅ G/Ntype
6. C2×#4647C2semidirect
9. #69420C2semidirect
10. #69414C2semidirect
11. Dic3⋊#95C2semidirect
40. #4942C4semidirect
106. C2×Dic3⋊C4C2×C4semidirect
120. C3⋊#95C2×C4semidirect
223. C22×Dic3C4⋊C4semidirect
515. C22×C3#389semidirect
548. Dic3#385semidirect
666. C22#4647semidirect
700. C3#14130semidirect

Maximal subgroups

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

subgroupindex
C23×Dic3⋊C42
C2×#52102
C2×#49502
C2×#49422
C2×Dic3×C22⋊C42
C2×#46472
C3×C22⋊#952
#715442
#694202
#694142
Dic3⋊#952
#141303