Finite Group Databasebeta

← #10835955

Subgroups — #10835955

Order 768.

912 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#433C211yesmaximal, characteristic, complemented
2#82287C211yesmaximal, characteristic, complemented
3#82236C211yesmaximal, characteristic, complemented
4C2×#4844C211yesmaximal, characteristic, complemented
5#70479C211yesmaximal, characteristic, complemented
6#70458C211yesmaximal, characteristic, complemented
7#70454C211yesmaximal, characteristic, complemented
8#69962C211yesmaximal, characteristic, complemented
9#69961C211yesmaximal, characteristic
10#69936C211yesmaximal, characteristic, complemented
11#69935C211yesmaximal, characteristic, complemented
12#69825C211yesmaximal, characteristic, complemented
13#69817C211yesmaximal, characteristic, complemented
14#69774C211yesmaximal, characteristic, complemented
15#69768C211yesmaximal, characteristic, complemented
16#24667—31nomaximal, Sylow
17C2×C3×#117C2211yescharacteristic
18C2×#930C2211yescharacteristic
19C2×#930C2211yescharacteristic
20C2×#924C2211yescharacteristic
21C22×D24C2211yescharacteristic
22C22×#204C2211yescharacteristic
23C2×#875C2211yescharacteristic
24C2×C4×D12C2211yescharacteristic
25C3×#433—24no—
26C2×C3×C4⋊C8C2211yescharacteristic
27C2×C3×C4⋊C8C2211yescharacteristic
28C2×C3×C22⋊C8C2211yescharacteristic
29C2×C3×C22⋊C8C2211yescharacteristic
30C2×C3×#97C2211yescharacteristic
31C2×C3×C4×C8C2211yescharacteristic
32#5212C2211yescharacteristic
33C2×#821C2211yescharacteristic
34C2×#821C2211yescharacteristic
35C2×#821C2211yescharacteristic
36C2×#821C2211yescharacteristic
37C2×#821C2211yescharacteristic
38C2×#817C2211yescharacteristic
39C2×#817C2211yescharacteristic
40C2×#816C2211yescharacteristic
41C2×#816C2211yescharacteristic
42C2×#816C2211yescharacteristic
43#4994—21no—
44#4994—21no—
45#4990—21no—
46#4989—21no—
47#4961—21no—
48#4961—21no—
49#4957—21no—
50#4956—21no—
51#4939C2211yescharacteristic
52#4939C2211yescharacteristic
53#4935C2211yescharacteristic
54C4×C4⋊Dic3C2211yescharacteristic
55#4929C2211yescharacteristic
56#4928C2211yescharacteristic
57#4844—24no—
58#4551C2211yescharacteristic
59#4551C2211yescharacteristic
60#4551C2211yescharacteristic
61#4551C2211yescharacteristic
62C2×#463—31no—
63C2×#433D311yescharacteristic, complemented
64#2620—31no—
65#2324—31no—
66#2035—31no—
67#2034—31no—
68#2000—31no—
69#1999—31no—
70#1983—31no—
71#1972—31no—
72#1968—31no—
73#1948—31no—
74#1935—31no—
75#1934—31no—
76#1802—31no—
77C23×C3×C4C2311yescharacteristic
78C22×#67—21no—
79C22×#67—21no—
80C22×D12C2311yescharacteristic
81C22×D12C2311yescharacteristic
82C22×C4×D3—21no—
83C22×Dic6C2311yescharacteristic
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C3×#117—22no—
89C3×#117—22no—
90C2×C3×C4⋊C4D411yescharacteristic
91C2×C3×C4⋊C4D411yescharacteristic
92C2×C3×C22⋊C4D411yescharacteristic
93C2×C3×C22⋊C4D411yescharacteristic
94C2×C3×C42C2311yescharacteristic
95C2×C3×C42C2311yescharacteristic
96C2×#217—21no—
97C2×#217—21no—
98#930—22no—
99#930—22no—
100#930—41no—
101#930—41no—
102C2×(C2×D3)⋊C4—21no—
103C2×(C2×D3)⋊C4—21no—
104C2×(C2×D3)⋊C4—21no—
105C2×(C2×D3)⋊C4—21no—
106C2×(C2×D3)⋊C4—21no—
107C2×(C2×D3)⋊C4—21no—
108C2×(C2×D3)⋊C4—21no—
109C2×(C2×D3)⋊C4—21no—
110C2×(C2×D3)⋊C4—21no—
111C2×C4⋊Dic3—21no—
112C2×C4⋊Dic3—21no—
113C2×C4⋊Dic3C2311yescharacteristic
114C2×C4⋊Dic3C2311yescharacteristic
115C2×C4⋊Dic3C2311yescharacteristic
116C2×C4⋊Dic3C2311yescharacteristic
117C2×C4⋊Dic3C2311yescharacteristic
118#924—41no—
119#924—41no—
120C2×Dic3⋊C4—21no—
121C2×Dic3⋊C4—21no—
122C2×C4×Dic3—21no—
123C2×D24—22no—
124C2×D24—22no—
125C2×D24—41no—
126C2×#204—22no—
127C2×#204—22no—
128C2×#204—41no—
129#875—22no—
130#875—22no—
131C4×D12—22no—
132C4×D12—22no—
133C3×C4⋊C8—22no—
134C3×C4⋊C8D414yescomplemented
135C3×C22⋊C8—22no—
136C3×C22⋊C8—22no—
137C3×#97—22no—
138C3×C4×C8—22no—
139C3⋊#95—21no—
140C3⋊#95—21no—
141C3⋊#95—21no—
142C3⋊#95—21no—
143C3⋊#95—21no—
144#821—22no—
145#821—22no—
146#821—41no—
147#821—41no—
148#821—41no—
149#817—41no—
150#817—41no—
151#816—22no—
152#816—22no—
153#816—41no—
154C22×SD16—31no—
155C22×D8—31no—
156C2×#124—31no—
157C2×C22⋊Q8—31no—
158C2×#121—31no—
159C2×#121—31no—
160C2×C4×D4—31no—
161C2×#117C2×D311yescharacteristic
162#463—64no—
163#433—24no—
164C2×#106—31no—
165C2×#106—31no—
166C2×C4⋊C8C2×D311yescharacteristic
167C2×C4⋊C8C2×D311yescharacteristic
168C2×#103—31no—
169C2×#103—31no—
170C2×#103—31no—
171C2×#102—31no—
172C2×#102—31no—
173C2×#102—31no—
174C2×#102—31no—
175C2×#102—31no—
176C2×C22⋊C8C2×D311yescharacteristic
177C2×C22⋊C8C2×D311yescharacteristic
178C2×#97C2×D311yescharacteristic
179C2×C4×C8C2×D311yescharacteristic
180#396—61no—
181#396—61no—
182#394—61no—
183#394—61no—
184#391—31no—
185#390—31no—
186#390—31no—
187#390—61no—
188#389—31no—
189#388—61no—
190#386—61no—
191#385—61no—
192#384—31no—
193#380—31no—
194C4×C4⋊C4—31no—
195#340—31no—
196#340—31no—
197#340—31no—
198#340—31no—
199C24×C3C2×D411yescharacteristic
200C23×D3—21no—
201C23×D3—21no—
202C22×C3×C4—21no—
203C22×C3×C4—21no—
204C22×C3×C4—21no—
205C22×C3×C4—21no—
206C22×C3×C4—21no—
207C22×C3×C4—21no—
208C22×C3×C4C2×D411yescharacteristic
209C22×C3×C4C2×D411yescharacteristic
210C22×C3×C4C2×D411yescharacteristic
211C22×C3×C4C2×D411yescharacteristic
212C22×C3×C4C2×D411yescharacteristic
213C22×C3×C4C2411yescharacteristic
214C2×#67—24no—
215C2×#67—42no—
216C2×#67—81no—
217C2×#67—81no—
218C2×#67—81no—
219C2×#67—81no—
220C22×Dic3—21no—
221C22×Dic3—21no—
222C22×Dic3—21no—
223C22×Dic3—21no—
224C22×Dic3—21no—
225C22×Dic3—21no—
226C2×D12—21no—
227C2×D12—21no—
228C2×D12—21no—
229C2×D12—21no—
230C2×D12—21no—
231C2×D12—21no—
232C2×D12—21no—
233C2×D12—21no—
234C2×D12—21no—
235C2×D12—21no—
236C2×D12—21no—
237C2×D12#4112yes—
238C2×C4×D3—42no—
239C2×C4×D3—81no—
240C2×C4×D3—81no—
241C2×Dic6—21no—
242C2×Dic6—21no—
243C2×Dic6—21no—
244C2×Dic6—21no—
245C2×Dic6—21no—
246C2×Dic6—21no—
247C2×C3×C8—21no—
248C2×C3×C8—21no—
249C2×C3×C8—21no—
250C2×C3×C8—21no—
251C2×C3×C8—21no—
252C2×C3×C8—21no—
253C2×C3×C8—21no—
254C2×C3×C8—21no—
255C2×C3×C8—21no—
256C2×C3×C8—21no—
257C2×C3×C8C2×D412yes—
258C2×C3×C8C2×D412yes—
259C3×C4⋊C4—22no—
260C3×C4⋊C4—22no—
261C3×C22⋊C4—22no—
262C3×C22⋊C4—22no—
263C3×C42—21no—
264C3×C42—21no—
265C3×C42C2×D412yes—
266C3×C42#4112yes—
267#217—42no—
268#217—81no—
269(C2×D3)⋊C4—24no—
270(C2×D3)⋊C4—42no—
271(C2×D3)⋊C4—42no—
272(C2×D3)⋊C4—42no—
273(C2×D3)⋊C4—42no—
274(C2×D3)⋊C4—81no—
275(C2×D3)⋊C4—81no—
276(C2×D3)⋊C4—81no—
277(C2×D3)⋊C4—81no—
278C4⋊Dic3—21no—
279C4⋊Dic3—21no—
280C4⋊Dic3—21no—
281C4⋊Dic3—21no—
282C4⋊Dic3—21no—
283C4⋊Dic3—21no—
284C4⋊Dic3—21no—
285C4⋊Dic3—21no—
286C4⋊Dic3—21no—
287C4⋊Dic3—81no—
288C4⋊Dic3—81no—
289C4⋊Dic3#4112yes—
290Dic3⋊C4—42no—
291Dic3⋊C4—81no—
292C4×Dic3—81no—
293D24—44no—
294#204—44no—
295C22×Q8—31no—
296C22×D4—31no—
297C22×D4—31no—
298C22×D4—61no—
299C22×D4—61no—
300C23×C4—61no—
301C23×C4C22×D311yescharacteristic
302C2×SD16—62no—
303C2×SD16—62no—
304C2×SD16—121no—
305C2×D8—62no—
306C2×D8—62no—
307C2×D8—121no—
308C22×C8C22×D311yescharacteristic
309C22×C8C22×D311yescharacteristic
310C22×C8C22×D311yescharacteristic
311C22×C8C22×D311yescharacteristic
312#124—62no—
313#124—62no—
314C22⋊Q8—121no—
315C22⋊Q8—121no—
316#121—62no—
317#121—62no—
318#121—121no—
319#121—121no—
320C4×D4—62no—
321C4×D4—62no—
322#117—22no—
323#117—22no—
324C2×C4⋊C4—31no—
325C2×C4⋊C4—31no—
326C2×C4⋊C4—31no—
327C2×C4⋊C4—31no—
328C2×C4⋊C4—31no—
329C2×C4⋊C4—61no—
330C2×C4⋊C4—61no—
331C2×C4⋊C4—61no—
332C2×C4⋊C4—61no—
333C2×C4⋊C4D1211yescharacteristic
334C2×C4⋊C4D1211yescharacteristic
335C2×C22⋊C4—61no—
336C2×C22⋊C4—61no—
337C2×C22⋊C4—61no—
338C2×C22⋊C4—61no—
339C2×C22⋊C4—61no—
340C2×C22⋊C4—61no—
341C2×C22⋊C4—61no—
342C2×C22⋊C4—61no—
343C2×C22⋊C4—61no—
344C2×C22⋊C4—61no—
345C2×C22⋊C4—61no—
346C2×C22⋊C4D1211yescharacteristic
347C2×C22⋊C4D1211yescharacteristic
348C2×C42—61no—
349C2×C42C22×D311yescharacteristic
350C2×C42C22×D311yescharacteristic
351#106—121no—
352#106—121no—
353C4⋊C8—22no—
354C4⋊C8#6714yescomplemented
355#103—62no—
356#103—62no—
357#103—121no—
358#102—62no—
359#102—62no—
360#102—121no—
361#102—121no—
362#102—121no—
363C22⋊C8—22no—
364C22⋊C8—22no—
365#97—22no—
366C4×C8—22no—
367#95—61no—
368#95—61no—
369#95—61no—
370#95—61no—
371#95—61no—
372C23×C3—21no—
373C23×C3—21no—
374C23×C3—21no—
375C23×C3—21no—
376C23×C3—21no—
377C23×C3—21no—
378C23×C3—21no—
379C23×C3C22×D411yescharacteristic
380C22×D3—22no—
381C22×D3—41no—
382C22×D3—41no—
383C22×D3—41no—
384C22×D3—41no—
385C22×D3—41no—
386C22×D3—41no—
387C22×D3—41no—
388C22×D3—41no—
389C22×D3—41no—
390C22×D3—41no—
391C22×D3—41no—
392C22×D3—41no—
393C22×D3—41no—
394C2×C3×C4—21no—
395C2×C3×C4—21no—
396C2×C3×C4—21no—
397C2×C3×C4—21no—
398C2×C3×C4—21no—
399C2×C3×C4—21no—
400C2×C3×C4—21no—
401C2×C3×C4—21no—
402C2×C3×C4—21no—
403C2×C3×C4—21no—
404C2×C3×C4—21no—
405C2×C3×C4—21no—
406C2×C3×C4—21no—
407C2×C3×C4—41no—
408C2×C3×C4—41no—
409C2×C3×C4—41no—
410C2×C3×C4—41no—
411C2×C3×C4#12112yes—
412C2×C3×C4#12112yes—
413C2×C3×C4C22×D411yescharacteristic
414C2×C3×C4C2×#4111yescharacteristic
415C2×C3×C4C2×#4111yescharacteristic
416C2×C3×C4C2×#4111yescharacteristic
417C2×C3×C4H(5,𝔽2)11yescharacteristic
418C2×C3×C4H(5,𝔽2)11yescharacteristic
419#67—84no—
420#67—84no—
421C2×Dic3—22no—
422C2×Dic3—41no—
423C2×Dic3—41no—
424C2×Dic3—41no—
425C2×Dic3—41no—
426C2×Dic3—41no—
427C2×Dic3—41no—
428C2×Dic3—41no—
429C2×Dic3—41no—
430C2×Dic3—41no—
431C2×Dic3—41no—
432C2×Dic3—41no—
433C2×Dic3—41no—
434C2×Dic3—41no—
435C2×Dic3—41no—
436C2×Dic3—41no—
437C2×Dic3—41no—
438C2×Dic3—41no—
439D12—22no—
440D12—22no—
441D12—41no—
442D12—41no—
443D12—41no—
444D12—41no—
445D12—41no—
446D12—41no—
447C4×D3—84no—
448Dic6—41no—
449Dic6—41no—
450Dic6—41no—
451Dic6—41no—
452C3×C8—22no—
453C3×C8—22no—
454C3×C8—41no—
455C3×C8—41no—
456C24—61no—
457C24—61no—
458C24C2×D1211yescharacteristic
459C2×Q8—61no—
460C2×Q8—61no—
461C2×Q8—61no—
462C2×Q8—61no—
463C2×Q8—61no—
464C2×Q8—61no—
465C2×D4—32no—
466C2×D4—64no—
467C2×D4—61no—
468C2×D4—61no—
469C2×D4—61no—
470C2×D4—61no—
471C2×D4—61no—
472C2×D4—61no—
473C2×D4—61no—
474C2×D4—61no—
475C2×D4—61no—
476C2×D4—61no—
477C2×D4—61no—
478C2×D4—122no—
479C2×D4—241no—
480C2×D4—241no—
481C2×D4—241no—
482C2×D4—241no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—61no—
490C22×C4—61no—
491C22×C4—61no—
492C22×C4—61no—
493C22×C4—61no—
494C22×C4—61no—
495C22×C4—122no—
496C22×C4—241no—
497C22×C4—241no—
498C22×C4C2×D1211yescharacteristic
499C22×C4C2×D1211yescharacteristic
500C22×C4C2×D1211yescharacteristic
501C22×C4C2×D1211yescharacteristic
502C22×C4C2×D1211yescharacteristic
503C22×C4C23×D311yescharacteristic
504SD16—124no—
505D8—124no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8C2×#6712yes—
517C2×C8C2×#6712yes—
518C4⋊C4—22no—
519C4⋊C4—22no—
520C4⋊C4—32no—
521C4⋊C4—61no—
522C4⋊C4—61no—
523C4⋊C4—61no—
524C4⋊C4—61no—
525C4⋊C4—61no—
526C4⋊C4—61no—
527C4⋊C4—61no—
528C4⋊C4—61no—
529C4⋊C4—61no—
530C4⋊C4—122no—
531C4⋊C4—241no—
532C4⋊C4—241no—
533C4⋊C4—241no—
534C22⋊C4—22no—
535C22⋊C4—22no—
536C22⋊C4—64no—
537C22⋊C4—122no—
538C22⋊C4—122no—
539C22⋊C4—122no—
540C22⋊C4—122no—
541C22⋊C4—122no—
542C22⋊C4—241no—
543C22⋊C4—241no—
544C22⋊C4—241no—
545C22⋊C4—241no—
546C22⋊C4—241no—
547C42—21no—
548C42—21no—
549C42—241no—
550C42#23512yes—
551C42C2×#6712yes—
552C22×C3—41no—
553C22×C3—41no—
554C22×C3—41no—
555C22×C3—41no—
556C22×C3—41no—
557C22×C3—41no—
558C22×C3—41no—
559C22×C3C2×#12111yescharacteristic
560C22×C3#52511yescharacteristic
561C22×C3#53511yescharacteristic
562C22×C3#57611yescharacteristic
563C22×C3#57711yescharacteristic
564C22×C3#57711yescharacteristic
565C22×C3#57711yescharacteristic
566C2×D3—42no—
567C2×D3—42no—
568C2×D3—42no—
569C2×D3—81no—
570C2×D3—81no—
571C2×D3—81no—
572C2×D3—81no—
573C2×D3—81no—
574C2×D3—81no—
575C2×D3—81no—
576C2×D3—81no—
577C2×D3—81no—
578C2×D3—81no—
579C2×D3—81no—
580C3×C4—22no—
581C3×C4—22no—
582C3×C4—41no—
583C3×C4—41no—
584C3×C4—41no—
585C3×C4#54611yescharacteristic
586C3×C4#55011yescharacteristic
587C3×C4#55311yescharacteristic
588C3×C4#55511yescharacteristic
589Dic3—42no—
590Dic3—81no—
591Dic3—81no—
592Dic3—81no—
593Dic3—81no—
594Dic3—81no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—62no—
603C23—121no—
604C23—121no—
605C23—121no—
606C23—121no—
607C23—121no—
608C23—121no—
609C23—121no—
610C23—121no—
611C23—121no—
612C23—121no—
613C23—121no—
614C23—121no—
615C23—121no—
616C23C22×D1211yescharacteristic
617Q8—121no—
618Q8—121no—
619Q8—121no—
620Q8—121no—
621D4—62no—
622D4—62no—
623D4—121no—
624D4—121no—
625D4—121no—
626D4—121no—
627D4—121no—
628D4—121no—
629D4—244no—
630D4—244no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—62no—
649C2×C4—121no—
650C2×C4—121no—
651C2×C4—121no—
652C2×C4—121no—
653C2×C4—121no—
654C2×C4—121no—
655C2×C4—121no—
656C2×C4—121no—
657C2×C4—121no—
658C2×C4—121no—
659C2×C4—121no—
660C2×C4—121no—
661C2×C4—121no—
662C2×C4—121no—
663C2×C4—121no—
664C2×C4—121no—
665C2×C4—121no—
666C2×C4—244no—
667C2×C4#93012yes—
668C2×C4#93012yes—
669C2×C4C2×#23511yescharacteristic
670C2×C4D3×#4111yescharacteristic
671C2×C4D3×#4111yescharacteristic
672C2×C4#100911yescharacteristic
673C2×C4#100911yescharacteristic
674C2×C4C22×#6711yescharacteristic
675C8—22no—
676C8—22no—
677C8—41no—
678C8—41no—
679C2×C3—81no—
680C2×C3#241411yescharacteristic
681C2×C3#306011yescharacteristic
682C2×C3#306211yescharacteristic
683C2×C3#311811yescharacteristic
684C2×C3#312511yescharacteristic
685C2×C3#322111yescharacteristic
686C2×C3#322411yescharacteristic
687D3—82no—
688D3—161no—
689C22—41no—
690C22—41no—
691C22—41no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—122no—
697C22—122no—
698C22—122no—
699C22—241no—
700C22—241no—
701C22—241no—
702C22—241no—
703C22—241no—
704C22—241no—
705C22—241no—
706C22—241no—
707C22—241no—
708C22—241no—
709C22—241no—
710C22#552411yescharacteristic
711C22#552511yescharacteristic
712C22#575111yescharacteristic
713C22#575111yescharacteristic
714C22#575111yescharacteristic
715C22#575211yescharacteristic
716C22C2×#93011yescharacteristic
717C4—22no—
718C4—22no—
719C4—41no—
720C4—41no—
721C4—41no—
722C4—122no—
723C4—241no—
724C4—241no—
725C4—241no—
726C4—241no—
727C4—241no—
728C4#553011yescharacteristic
729C4#553211yescharacteristic
730C4#582911yescharacteristic
731C4#583411yescharacteristic
732C3#2466711yescharacteristic, complemented, Sylow
733C2—81no—
734C2—242no—
735C2—481no—
736C2#7938311yescharacteristic
737C2#7938911yescharacteristic
738C2#7939211yescharacteristic
739C2#7939711yescharacteristic
740C2#8227611yescharacteristic
741C2#8380011yescharacteristic
742C2#8380211yescharacteristic
subgroupG/H
centerC23C22×D12
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×#433C2
socleC23×C3C22×D4
prime radical#69961C2
hypercenterC2×#433D3
hypocenterC3#24667
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
1. C2×C3×#433C2semidirect
2. #82287C2semidirect
3. #82236C2semidirect
4. C2×#4844C2semidirect
5. #70479C2semidirect
6. #70458C2semidirect
7. #70454C2semidirect
8. #69962C2semidirect
10. #69936C2semidirect
11. #69935C2semidirect
12. #69825C2semidirect
13. #69817C2semidirect
14. #69774C2semidirect
15. #69768C2semidirect
63. C2×#433D3semidirect
134. C3×C4⋊C8D4semidirect
354. C4⋊C8#67semidirect
732. C3#24667semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#4332
#822872
#822362
C2×#48442
#704792
#704582
#704542
#699622
#699612
#699362
#699352
#698252
#698172
#697742
#697682
#246673