Finite Group Databasebeta

← C3×#15120 #10633727

Subgroups — C3×#15120 #10633727

Order 768.

1694 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#390C211yesmaximal, characteristic
2C2×C3×#388C212yesmaximal, complemented
3C2×C3×#376C211yesmaximal, characteristic, complemented
4C3×#1444C211yesmaximal, characteristic, complemented
5C3×#1442C211yesmaximal, characteristic, complemented
6C3×#1440C212yesmaximal, complemented
7C3×#1439C212yesmaximal, complemented
8C3×#1438C211yesmaximal, characteristic
9C3×#1438C211yesmaximal, characteristic
10C3×#1437C212yesmaximal, complemented
11C3×#1434C211yesmaximal, characteristic, complemented
12#15120C311yesmaximal, characteristic, direct product factor, Sylow
13C23×C3×D4C2211yescharacteristic
14C22×C3×C4⋊C4C2212yes—
15C22×C3×C4⋊C4C2211yescharacteristic
16C22×C3×C22⋊C4C2212yes—
17C22×C3×C22⋊C4C2212yes—
18C22×C3×C22⋊C4C2212yes—
19C22×C3×C22⋊C4C2212yes—
20C22×C3×C22⋊C4C2212yes—
21C22×C3×C22⋊C4C2212yes—
22C22×C3×C42C2211yescharacteristic
23C22×C3×C42C2211yescharacteristic
24C22×C3×C42C2211yescharacteristic
25C3×#390—24no—
26C3×#388—28no—
27C3×#376—24no—
28C2×C3×#95C2211yescharacteristic
29C2×C3×#95C2211yescharacteristic
30C2×C3×#95C2211yescharacteristic
31C2×C3×#95C2211yescharacteristic
32C2×C3×#95C2212yes—
33C2×C3×#95C2212yes—
34C2×C3×#95C2211yescharacteristic
35C2×C3×#95C2211yescharacteristic
36C2×C3×#95C2212yes—
37C2×C3×#95C2212yes—
38C2×C3×#95C2212yes—
39C2×#390C2×C311yescharacteristic
40C2×#388C2×C312yescomplemented
41C2×#376C2×C311yescharacteristic, complemented
42#1444C2×C311yescharacteristic, complemented
43#1442C2×C311yescharacteristic, complemented
44#1440C2×C312yescomplemented
45#1439C2×C312yescomplemented
46#1438C2×C311yescharacteristic
47#1438C2×C311yescharacteristic
48#1437C2×C312yescomplemented
49#1434C2×C311yescharacteristic, complemented
50C25×C3C2312yes—
51C22×C3×D4—24no—
52C22×C3×D4—22no—
53C22×C3×D4—22no—
54C22×C3×D4—22no—
55C22×C3×D4—42no—
56C23×C3×C4C2312yes—
57C23×C3×C4C2312yes—
58C23×C3×C4C2311yescharacteristic
59C23×C3×C4C2311yescharacteristic
60C23×C3×C4C2311yescharacteristic
61C23×C3×C4C2311yescharacteristic
62C23×C3×C4C2311yescharacteristic
63C23×C3×C4C2312yes—
64C23×C3×C4C2311yescharacteristic
65C23×C3×C4C2311yescharacteristic
66C2×C3×C4⋊C4—24no—
67C2×C3×C4⋊C4—22no—
68C2×C3×C4⋊C4—42no—
69C2×C3×C4⋊C4—42no—
70C2×C3×C4⋊C4—42no—
71C2×C3×C22⋊C4—24no—
72C2×C3×C22⋊C4—24no—
73C2×C3×C22⋊C4—24no—
74C2×C3×C22⋊C4—24no—
75C2×C3×C22⋊C4—24no—
76C2×C3×C22⋊C4—24no—
77C2×C3×C22⋊C4—24no—
78C2×C3×C22⋊C4—24no—
79C2×C3×C22⋊C4—24no—
80C2×C3×C22⋊C4—24no—
81C2×C3×C22⋊C4—24no—
82C2×C3×C22⋊C4—24no—
83C2×C3×C22⋊C4—42no—
84C2×C3×C22⋊C4—42no—
85C2×C3×C22⋊C4—42no—
86C2×C3×C22⋊C4—42no—
87C2×C3×C22⋊C4—42no—
88C2×C3×C22⋊C4—42no—
89C2×C3×C42—22no—
90C2×C3×C42—22no—
91C2×C3×C42—22no—
92C2×C3×C42—22no—
93C2×C3×C42—22no—
94C2×C3×C42—22no—
95C2×C3×C42—22no—
96C2×C3×C42D414yes—
97C2×C3×C42D414yescomplemented
98C3×#95—22no—
99C3×#95—22no—
100C3×#95—22no—
101C3×#95—22no—
102C3×#95—24no—
103C3×#95—24no—
104C3×#95—22no—
105C3×#95—24no—
106C3×#95—22no—
107C3×#95—42no—
108C3×#95—42no—
109C23×D4C22×C311yescharacteristic
110C22×C4⋊C4C22×C312yes—
111C22×C4⋊C4C22×C311yescharacteristic
112C22×C22⋊C4C22×C312yes—
113C22×C22⋊C4C22×C312yes—
114C22×C22⋊C4C22×C312yes—
115C22×C22⋊C4C22×C312yes—
116C22×C22⋊C4C22×C312yes—
117C22×C22⋊C4C22×C312yes—
118C22×C42C22×C311yescharacteristic
119C22×C42C22×C311yescharacteristic
120C22×C42C22×C311yescharacteristic
121#390—24no—
122#388—28no—
123#376—24no—
124C2×#95C22×C312yes—
125C2×#95C22×C311yescharacteristic
126C2×#95C22×C311yescharacteristic
127C2×#95C22×C312yes—
128C2×#95C22×C311yescharacteristic
129C2×#95C22×C311yescharacteristic
130C2×#95C22×C311yescharacteristic
131C2×#95C22×C311yescharacteristic
132C2×#95C22×C312yes—
133C2×#95C22×C312yes—
134C2×#95C22×C312yes—
135C24×C3—22no—
136C24×C3—22no—
137C24×C3—22no—
138C24×C3—22no—
139C24×C3—22no—
140C24×C3—22no—
141C24×C3—22no—
142C24×C3—22no—
143C24×C3—22no—
144C24×C3—22no—
145C24×C3—22no—
146C24×C3—22no—
147C24×C3—22no—
148C24×C3—22no—
149C24×C3#4114yes—
150C24×C3C2411yescharacteristic
151C2×C3×D4—28no—
152C2×C3×D4—48no—
153C2×C3×D4—48no—
154C2×C3×D4—44no—
155C2×C3×D4—44no—
156C22×C3×C4—21no—
157C22×C3×C4—21no—
158C22×C3×C4—21no—
159C22×C3×C4—21no—
160C22×C3×C4—22no—
161C22×C3×C4—22no—
162C22×C3×C4—21no—
163C22×C3×C4—21no—
164C22×C3×C4—21no—
165C22×C3×C4—21no—
166C22×C3×C4—22no—
167C22×C3×C4—22no—
168C22×C3×C4—22no—
169C22×C3×C4—21no—
170C22×C3×C4—21no—
171C22×C3×C4—21no—
172C22×C3×C4—21no—
173C22×C3×C4—21no—
174C22×C3×C4—21no—
175C22×C3×C4—22no—
176C22×C3×C4—22no—
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—22no—
185C22×C3×C4—22no—
186C22×C3×C4—22no—
187C22×C3×C4—22no—
188C22×C3×C4—22no—
189C22×C3×C4—22no—
190C22×C3×C4—22no—
191C22×C3×C4—22no—
192C22×C3×C4—22no—
193C22×C3×C4—22no—
194C22×C3×C4—22no—
195C22×C3×C4—22no—
196C22×C3×C4—22no—
197C22×C3×C4—22no—
198C22×C3×C4—22no—
199C22×C3×C4—22no—
200C22×C3×C4—22no—
201C22×C3×C4—22no—
202C22×C3×C4C2×D412yes—
203C22×C3×C4C2×D412yes—
204C22×C3×C4C2×D412yes—
205C22×C3×C4C2×D412yes—
206C22×C3×C4C2×D412yes—
207C22×C3×C4C2×D412yes—
208C22×C3×C4#4114yes—
209C22×C3×C4#4112yes—
210C22×C3×C4#4112yes—
211C22×C3×C4#4112yes—
212C22×C3×C4#4112yes—
213C22×C3×C4#4112yes—
214C3×C4⋊C4—44no—
215C3×C4⋊C4—48no—
216C3×C22⋊C4—216no—
217C3×C22⋊C4—48no—
218C3×C22⋊C4—48no—
219C3×C22⋊C4—48no—
220C3×C22⋊C4—48no—
221C3×C22⋊C4—48no—
222C3×C42—28no—
223C3×C42—28no—
224C3×C42—28no—
225C25C23×C312yes—
226C22×D4—24no—
227C22×D4—22no—
228C22×D4—22no—
229C22×D4—22no—
230C22×D4—42no—
231C23×C4C23×C312yes—
232C23×C4C23×C312yes—
233C23×C4C23×C311yescharacteristic
234C23×C4C23×C311yescharacteristic
235C23×C4C23×C311yescharacteristic
236C23×C4C23×C312yes—
237C23×C4C23×C311yescharacteristic
238C23×C4C23×C311yescharacteristic
239C23×C4C23×C311yescharacteristic
240C23×C4C23×C311yescharacteristic
241C2×C4⋊C4—24no—
242C2×C4⋊C4—22no—
243C2×C4⋊C4—42no—
244C2×C4⋊C4—42no—
245C2×C4⋊C4—42no—
246C2×C22⋊C4—24no—
247C2×C22⋊C4—24no—
248C2×C22⋊C4—24no—
249C2×C22⋊C4—24no—
250C2×C22⋊C4—24no—
251C2×C22⋊C4—24no—
252C2×C22⋊C4—24no—
253C2×C22⋊C4—24no—
254C2×C22⋊C4—24no—
255C2×C22⋊C4—24no—
256C2×C22⋊C4—24no—
257C2×C22⋊C4—24no—
258C2×C22⋊C4—42no—
259C2×C22⋊C4—42no—
260C2×C22⋊C4—42no—
261C2×C22⋊C4—42no—
262C2×C22⋊C4—42no—
263C2×C22⋊C4—42no—
264C2×C42—22no—
265C2×C42—22no—
266C2×C42—22no—
267C2×C42—22no—
268C2×C42—22no—
269C2×C42—22no—
270C2×C42—22no—
271C2×C42C3×D414yes—
272C2×C42C3×D414yescomplemented
273#95—22no—
274#95—22no—
275#95—22no—
276#95—22no—
277#95—24no—
278#95—24no—
279#95—22no—
280#95—24no—
281#95—22no—
282#95—42no—
283#95—42no—
284C23×C3—24no—
285C23×C3—24no—
286C23×C3—24no—
287C23×C3—24no—
288C23×C3—24no—
289C23×C3—24no—
290C23×C3—24no—
291C23×C3—42no—
292C23×C3—42no—
293C23×C3—42no—
294C23×C3—42no—
295C23×C3—42no—
296C23×C3—42no—
297C23×C3—42no—
298C23×C3—42no—
299C23×C3—42no—
300C23×C3—42no—
301C23×C3—42no—
302C23×C3—42no—
303C23×C3—42no—
304C23×C3—42no—
305C23×C3—42no—
306C23×C3—42no—
307C23×C3—42no—
308C23×C3—42no—
309C23×C3—42no—
310C23×C3—42no—
311C23×C3—42no—
312C23×C3—42no—
313C23×C3—42no—
314C23×C3—42no—
315C23×C3—42no—
316C23×C3—42no—
317C23×C3—42no—
318C23×C3—42no—
319C23×C3C22×D411yescharacteristic
320C23×C3C22×D411yescharacteristic
321C23×C3C2×#4111yescharacteristic
322C23×C3C2×#4111yescharacteristic
323C23×C3C2×#4111yescharacteristic
324C23×C3C2×#4112yes—
325C23×C3C2×#4111yescharacteristic
326C23×C3C2×#4111yescharacteristic
327C23×C3C2×#4112yes—
328C23×C3H(5,𝔽2)12yes—
329C23×C3H(5,𝔽2)12yes—
330C3×D4—416no—
331C2×C3×C4—22no—
332C2×C3×C4—22no—
333C2×C3×C4—22no—
334C2×C3×C4—22no—
335C2×C3×C4—22no—
336C2×C3×C4—22no—
337C2×C3×C4—22no—
338C2×C3×C4—22no—
339C2×C3×C4—24no—
340C2×C3×C4—24no—
341C2×C3×C4—22no—
342C2×C3×C4—22no—
343C2×C3×C4—22no—
344C2×C3×C4—22no—
345C2×C3×C4—22no—
346C2×C3×C4—24no—
347C2×C3×C4—24no—
348C2×C3×C4—22no—
349C2×C3×C4—22no—
350C2×C3×C4—24no—
351C2×C3×C4—24no—
352C2×C3×C4—24no—
353C2×C3×C4—24no—
354C2×C3×C4—24no—
355C2×C3×C4—41no—
356C2×C3×C4—41no—
357C2×C3×C4—42no—
358C2×C3×C4—42no—
359C2×C3×C4—41no—
360C2×C3×C4—41no—
361C2×C3×C4—42no—
362C2×C3×C4—41no—
363C2×C3×C4—41no—
364C2×C3×C4—41no—
365C2×C3×C4—41no—
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×C3×C4—42no—
374C2×C3×C4—42no—
375C2×C3×C4—42no—
376C2×C3×C4—42no—
377C2×C3×C4—42no—
378C2×C3×C4—42no—
379C2×C3×C4—42no—
380C2×C3×C4—42no—
381C2×C3×C4—42no—
382C2×C3×C4—42no—
383C2×C3×C4—42no—
384C2×C3×C4—42no—
385C2×C3×C4—42no—
386C2×C3×C4—42no—
387C2×C3×C4#12114yes—
388C2×C3×C4#12314yes—
389C24—22no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24C3×#4114yes—
404C24C24×C311yescharacteristic
405C2×D4—28no—
406C2×D4—48no—
407C2×D4—48no—
408C2×D4—44no—
409C2×D4—44no—
410C22×C4—21no—
411C22×C4—21no—
412C22×C4—21no—
413C22×C4—21no—
414C22×C4—22no—
415C22×C4—22no—
416C22×C4—21no—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
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—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4C2×C3×D412yes—
457C22×C4C2×C3×D412yes—
458C22×C4C2×C3×D412yes—
459C22×C4C2×C3×D412yes—
460C22×C4C2×C3×D412yes—
461C22×C4C2×C3×D412yes—
462C22×C4C3×#4114yes—
463C22×C4C3×#4112yes—
464C22×C4C3×#4112yes—
465C22×C4C3×#4112yes—
466C22×C4C3×#4112yes—
467C22×C4C3×#4112yes—
468C4⋊C4—44no—
469C4⋊C4—48no—
470C22⋊C4—216no—
471C22⋊C4—48no—
472C22⋊C4—48no—
473C22⋊C4—48no—
474C22⋊C4—48no—
475C22⋊C4—48no—
476C42—28no—
477C42—28no—
478C42—28no—
479C22×C3—44no—
480C22×C3—44no—
481C22×C3—44no—
482C22×C3—44no—
483C22×C3—44no—
484C22×C3—44no—
485C22×C3—44no—
486C22×C3—82no—
487C22×C3—82no—
488C22×C3—82no—
489C22×C3—82no—
490C22×C3—82no—
491C22×C3—82no—
492C22×C3—82no—
493C22×C3—82no—
494C22×C3C2×#12111yescharacteristic
495C22×C3C2×#12311yescharacteristic
496C22×C3#52511yescharacteristic
497C22×C3#52511yescharacteristic
498C22×C3#52512yes—
499C22×C3#52911yescharacteristic
500C22×C3#52911yescharacteristic
501C22×C3#52912yes—
502C22×C3#53211yescharacteristic
503C22×C3#53211yescharacteristic
504C22×C3#53211yescharacteristic
505C22×C3#53511yescharacteristic
506C22×C3#53512yes—
507C22×C3#53511yescharacteristic
508C22×C3#54012yes—
509C22×C3#55112yes—
510C22×C3#55112yes—
511C22×C3#55112yes—
512C22×C3#55112yes—
513C22×C3#55312yes—
514C22×C3#55312yes—
515C22×C3#55512yes—
516C22×C3#55512yes—
517C3×C4—24no—
518C3×C4—24no—
519C3×C4—42no—
520C3×C4—44no—
521C3×C4—42no—
522C3×C4—42no—
523C3×C4—42no—
524C3×C4—42no—
525C3×C4—82no—
526C3×C4—82no—
527C23—24no—
528C23—24no—
529C23—24no—
530C23—24no—
531C23—24no—
532C23—24no—
533C23—24no—
534C23—42no—
535C23—42no—
536C23—42no—
537C23—42no—
538C23—42no—
539C23—42no—
540C23—42no—
541C23—42no—
542C23—42no—
543C23—42no—
544C23—42no—
545C23—42no—
546C23—42no—
547C23—42no—
548C23—42no—
549C23—42no—
550C23—42no—
551C23—42no—
552C23—42no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—42no—
562C23C22×C3×D411yescharacteristic
563C23C22×C3×D411yescharacteristic
564C23C2×C3×#4111yescharacteristic
565C23C2×C3×#4111yescharacteristic
566C23C2×C3×#4111yescharacteristic
567C23C2×C3×#4112yes—
568C23C2×C3×#4111yescharacteristic
569C23C2×C3×#4111yescharacteristic
570C23C2×C3×#4112yes—
571C23C3×H(5,𝔽2)12yes—
572C23C3×H(5,𝔽2)12yes—
573D4—416no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—42no—
601C2×C4—41no—
602C2×C4—42no—
603C2×C4—41no—
604C2×C4—42no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4C3×#12114yes—
631C2×C4C3×#12314yes—
632C2×C3—84no—
633C2×C3#239211yescharacteristic
634C2×C3#248211yescharacteristic
635C2×C3#250011yescharacteristic
636C2×C3#252612yes—
637C2×C3#253112yes—
638C2×C3#259811yescharacteristic
639C2×C3#260312yes—
640C2×C3#261011yescharacteristic
641C2×C3#261012yes—
642C2×C3#261911yescharacteristic
643C2×C3#285411yescharacteristic
644C22—44no—
645C22—44no—
646C22—44no—
647C22—44no—
648C22—44no—
649C22—44no—
650C22—44no—
651C22—82no—
652C22—82no—
653C22—82no—
654C22—82no—
655C22—82no—
656C22—82no—
657C22—82no—
658C22—82no—
659C22C2×C3×#12111yescharacteristic
660C22C2×C3×#12311yescharacteristic
661C22C3×#52511yescharacteristic
662C22C3×#52512yes—
663C22C3×#52511yescharacteristic
664C22C3×#52912yes—
665C22C3×#52911yescharacteristic
666C22C3×#52911yescharacteristic
667C22C3×#53211yescharacteristic
668C22C3×#53211yescharacteristic
669C22C3×#53211yescharacteristic
670C22C3×#53511yescharacteristic
671C22C3×#53511yescharacteristic
672C22C3×#53512yes—
673C22C3×#54012yes—
674C22C3×#55112yes—
675C22C3×#55112yes—
676C22C3×#55112yes—
677C22C3×#55112yes—
678C22C3×#55312yes—
679C22C3×#55312yes—
680C22C3×#55512yes—
681C22C3×#55512yes—
682C4—24no—
683C4—24no—
684C4—42no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—44no—
689C4—42no—
690C4—82no—
691C4—82no—
692C3#1512011yescharacteristic, direct product factor, Sylow
693C2—84no—
694C2C3×#239211yescharacteristic
695C2C3×#248211yescharacteristic
696C2C3×#250011yescharacteristic
697C2C3×#252612yes—
698C2C3×#253112yes—
699C2C3×#259811yescharacteristic
700C2C3×#260312yes—
701C2C3×#261011yescharacteristic
702C2C3×#261012yes—
703C2C3×#261911yescharacteristic
704C2C3×#285411yescharacteristic
subgroupG/H
center, socleC24×C3C24
commutator, Frattini, cosocleC24C24×C3
prime radicalC23×C3×D4C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C3 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C3×#388C2semidirect
3. C2×C3×#376C2semidirect
4. C3×#1444C2semidirect
5. C3×#1442C2semidirect
6. C3×#1440C2semidirect
7. C3×#1439C2semidirect
10. C3×#1437C2semidirect
11. C3×#1434C2semidirect
12. #15120C3direct (N × H)
40. C2×#388C2×C3semidirect
41. C2×#376C2×C3semidirect
42. #1444C2×C3semidirect
43. #1442C2×C3semidirect
44. #1440C2×C3semidirect
45. #1439C2×C3semidirect
48. #1437C2×C3semidirect
49. #1434C2×C3semidirect
97. C2×C3×C42D4semidirect
272. C2×C42C3×D4semidirect
692. C3#15120direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#3902
C2×C3×#3882
C2×C3×#3762
C3×#14442
C3×#14422
C3×#14402
C3×#14392
C3×#14382
C3×#14372
C3×#14342
#151203