Finite Group Databasebeta

← #11900897

Subgroups — #11900897

Order 1152.

2673 conjugacy classes of subgroups.

The subgroup lattice has 701 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C42×C3⋊D3C211yesmaximal, characteristic, complemented
2C3×#5477C211yesmaximal, characteristic, complemented
3C3×#5470C211yesmaximal, characteristic, complemented
4#10595034C212yesmaximal, complemented
5#10594965C214yesmaximal, complemented
6#10594958C212yesmaximal, complemented
7#10594922C214yesmaximal, complemented
8#10593943C214yesmaximal, complemented
9#10593907C212yesmaximal, complemented
10C4×#3796C214yesmaximal, complemented
11#10593875C214yesmaximal, complemented
12#10593866C212yesmaximal, complemented
13#86257—31nomaximal
14#86219—31nomaximal
15C22×C4×C3⋊D3C2212yes—
16C22×C4×C3⋊D3C2211yescharacteristic
17C2×C3×#235C2212yes—
18C2×#3796C2214yes—
19C2×C32×C42C2211yescharacteristic
20C2×C4×C3⋊Dic3C2211yescharacteristic
21C2×C4×C3⋊Dic3C2212yes—
22C42×C3⋊D3C2212yes—
23C42×C3⋊D3C2212yes—
24C42×C3⋊D3C2212yes—
25C42×C3⋊D3C2212yes—
26C3×#930C2214yes—
27C3×#926C2212yes—
28C3×#924C2214yes—
29C3×#875C2212yescomplemented
30C3×#874C2211yescharacteristic, complemented
31C3×C4×D12C2214yescomplemented
32C3×#870C2212yescomplemented
33C3×#869C2211yescharacteristic, complemented
34C3×#869C2212yescomplemented
35C3×C4×Dic6C2214yescomplemented
36#63981C2214yes—
37#67⋊Dic3C2218yes—
38#63962C2214yes—
39#63916C2214yes—
40#63916C2214yes—
41C4×#626C2218yes—
42#63898C2214yescomplemented
43#63898C2214yescomplemented
44#63881C2218yes—
45#63878C2218yescomplemented
46C4×D3×Dic3C2214yescomplemented
47#63872C2214yescomplemented
48#63871C2214yes—
49#63871C2214yes—
50#63863C2214yescomplemented
51#63862C2218yescomplemented
52#63855C2214yescomplemented
53#63853C2218yes—
54#63849C2214yes—
55#63843C2214yescomplemented
56#63843C2214yescomplemented
57C3×#533—31no—
58C3×#532—31no—
59#5828—32no—
60Dic3×#41—32no—
61#5728—32no—
62#5728—32no—
63#5725—32no—
64#5716—32no—
65#5691—34no—
66#5680—34no—
67#5627—34no—
68#5624—34no—
69#5606—34no—
70#5600—34no—
71#5580—34no—
72C4×#239—34no—
73#5557—34no—
74C4×#237—34no—
75#5524—32no—
76#5522—32no—
77#5477D311yescharacteristic, complemented
78C2×C42×D3—31no—
79C2×C42×D3—31no—
80C2×C42×D3—61no—
81#5470D311yescharacteristic, complemented
82C23×C3⋊D3C2311yescharacteristic
83C22×C32×C4C2312yes—
84C22×C32×C4C2311yescharacteristic
85C22×C3⋊Dic3C2311yescharacteristic
86C22×C3⋊Dic3C2312yes—
87C2×C4×C3⋊D3—24no—
88C2×C4×C3⋊D3—28no—
89C2×C4×C3⋊D3C2312yes—
90C2×C4×C3⋊D3C2312yes—
91C2×C4×C3⋊D3C2312yes—
92C2×C4×C3⋊D3C2312yes—
93C2×C4×C3⋊D3C2312yes—
94C2×C4×C3⋊D3C2312yes—
95C2×C3×#67C2314yes—
96C3×#235—28no—
97C2×C3×D12C2314yes—
98C2×C3×D12C2312yes—
99C2×C3×C4×D3C2314yes—
100C2×C3×Dic6C2314yes—
101C2×C3×Dic6C2312yes—
102C2×#626C2318yes—
103C2×D3×Dic3C2318yes—
104#3796—216no—
105C32×C42C2312yes—
106C32×C42C2311yescharacteristic
107C32×C42C2311yescharacteristic
108C4×C3⋊Dic3C2312yes—
109C4×C3⋊Dic3C2312yes—
110C4×C3⋊Dic3C2311yescharacteristic
111C4×C3⋊Dic3C2312yes—
112C4×C3⋊Dic3C2312yes—
113C4×C3⋊Dic3C2311yescharacteristic
114C4×C3⋊Dic3C2312yes—
115C3×#217C2314yes—
116C3×(C2×D3)⋊C4C2318yes—
117C3×C4⋊Dic3C2314yes—
118C3×C4⋊Dic3C2314yes—
119C3×C4⋊Dic3C2314yes—
120C3×Dic3⋊C4C2318yes—
121C3×C4×Dic3C2314yes—
122Dic3⋊Dic3C2318yes—
123Dic3⋊Dic3C2318yes—
124#3722C2318yes—
125(C2×D3)⋊Dic3C2318yes—
126(C2×D3)⋊Dic3C2318yes—
127Dic32C2318yes—
128#3444—91noSylow
129C2×C3×#41—32no—
130C2×#239—34no—
131C2×#237—34no—
132C2×#235C2×D312yes—
133C22×C4×D3—31no—
134C22×C4×D3—31no—
135C22×C4×D3—32no—
136C22×C4×D3—32no—
137C22×C4×D3—62no—
138C22×C4×D3—61no—
139C3×C4⋊Q8—32no—
140C3×C4⋊Q8—31no—
141C3×#127—31no—
142C3×#125—32no—
143C3×#124—32no—
144C3×C22⋊Q8—34no—
145C3×#121—34no—
146C3×C4×Q8—34no—
147C3×C4×D4—34no—
148C3×#117—32no—
149C2×C3×C42—21no—
150C2×C3×C42C2×D311yescharacteristic
151C2×C3×C42C2×D311yescharacteristic
152#947—34no—
153#946—34no—
154#946—34no—
155Q8×Dic3—34no—
156Q8×Dic3—34no—
157#938—34no—
158#938—34no—
159#937—34no—
160#936—34no—
161#935—34no—
162D4×Dic3—38no—
163D4×Dic3—34no—
164D4×Dic3—34no—
165#930C2×D314yes—
166C4×#67—38no—
167#926—34no—
168#926C2×D312yes—
169#924C2×D314yes—
170C2×C4×Dic3—31no—
171C2×C4×Dic3—31no—
172C2×C4×Dic3—32no—
173C2×C4×Dic3—32no—
174C2×C4×Dic3—34no—
175C2×C4×Dic3—61no—
176C2×C4×Dic3—62no—
177#898—38no—
178#897—34no—
179#897—34no—
180#895—34no—
181#895—34no—
182#894—38no—
183#893—34no—
184#893—34no—
185#893—38no—
186#892—38no—
187#892—34no—
188#892—34no—
189#890—34no—
190#890—34no—
191#887—34no—
192#887—34no—
193#886—34no—
194#883—38no—
195#882—34no—
196#67⋊C4—38no—
197#67⋊C4—38no—
198#879—38no—
199#877—38no—
200#875C2×D312yescomplemented
201#874C2×D311yescharacteristic, complemented
202C4×D12—38no—
203C4×D12C2×D314yescomplemented
204#872—34no—
205C42×D3—34no—
206C42×D3—32no—
207C42×D3—32no—
208C42×D3—32no—
209C42×D3—32no—
210C42×D3—32no—
211C42×D3—32no—
212C42×D3—32no—
213C42×D3—32no—
214C42×D3—62no—
215C42×D3—62no—
216C42×D3—62no—
217C42×D3—62no—
218#870C2×D312yescomplemented
219#869C2×D312yescomplemented
220#869C2×D311yescharacteristic, complemented
221C4×Dic6C2×D314yescomplemented
222C23×C32C2411yescharacteristic
223C22×C3⋊D3—22no—
224C22×C3⋊D3—24no—
225C22×C3⋊D3C2412yes—
226C22×C3×D3C2414yes—
227C2×C32×C4—24no—
228C2×C32×C4#4114yescomplemented
229C2×C32×C4C2412yes—
230C2×C32×C4C2411yescharacteristic
231C2×C32×C4C2411yescharacteristic
232C2×C32×C4C2412yes—
233C2×C3⋊Dic3—22no—
234C2×C3⋊Dic3—24no—
235C2×C3⋊Dic3C2412yes—
236C2×C3⋊Dic3C2412yes—
237C2×C3⋊Dic3C2412yes—
238C4×C3⋊D3—24no—
239C4×C3⋊D3—24no—
240C4×C3⋊D3—24no—
241C4×C3⋊D3—24no—
242C4×C3⋊D3—24no—
243C4×C3⋊D3#4118yescomplemented
244C3×#67—28no—
245C2×C3×Dic3C2414yes—
246C2×C3×Dic3C2418yes—
247C3×D12—28no—
248C3×D12—24no—
249C3×C4×D3—28no—
250C3×Dic6—28no—
251C3×Dic6—24no—
252#626—216no—
253D3×Dic3—216no—
254#533—31no—
255#533—92no—
256#532—31no—
257#532—92no—
258#529—94no—
259#529—94no—
260#529—94no—
261#525—92no—
262#525—94no—
263C4×#41—92no—
264C4×#41—94no—
265C22×C42—91no—
266C23×D3—31no—
267C23×D3—31no—
268C23×D3—61no—
269C3×#41—68no—
270C2×C3×Q8—32no—
271C2×C3×Q8—34no—
272C2×C3×D4—34no—
273C2×C3×D4—32no—
274C2×C3×D4—34no—
275C22×C3×C4—22no—
276C22×C3×C4—21no—
277C22×C3×C4—34no—
278C22×C3×C4C22×D312yes—
279C22×C3×C4C22×D312yes—
280C22×C3×C4C22×D311yescharacteristic
281C22×C3×C4C22×D311yescharacteristic
282C2×#67—38no—
283C2×#67C22×D314yes—
284C22×Dic3—32no—
285C22×Dic3—31no—
286C22×Dic3—32no—
287C22×Dic3—31no—
288C22×Dic3—38no—
289C22×Dic3—62no—
290C22×Dic3—61no—
291#239—616no—
292#237—616no—
293#235—28no—
294C2×D12—38no—
295C2×D12C22×D314yes—
296C2×D12C22×D312yes—
297C2×C4×D3—32no—
298C2×C4×D3—32no—
299C2×C4×D3—38no—
300C2×C4×D3—32no—
301C2×C4×D3—32no—
302C2×C4×D3—32no—
303C2×C4×D3—32no—
304C2×C4×D3—32no—
305C2×C4×D3—32no—
306C2×C4×D3—32no—
307C2×C4×D3—32no—
308C2×C4×D3—32no—
309C2×C4×D3—32no—
310C2×C4×D3—62no—
311C2×C4×D3—62no—
312C2×C4×D3—62no—
313C2×C4×D3—62no—
314C2×C4×D3—62no—
315C2×C4×D3—62no—
316C2×C4×D3—68no—
317C2×C4×D3—68no—
318C2×C4×D3—616no—
319C2×C4×D3—68no—
320C2×C4×D3—64no—
321C2×C4×D3—64no—
322C2×C4×D3C22×D314yes—
323C2×Dic6C22×D314yes—
324C2×Dic6C22×D312yes—
325C3×C4⋊C4—34no—
326C3×C4⋊C4—34no—
327C3×C4⋊C4—34no—
328C3×C4⋊C4—38no—
329C3×C22⋊C4—34no—
330C3×C22⋊C4—38no—
331C3×C42—21no—
332C3×C42—21no—
333C3×C42—22no—
334C3×C42—34no—
335C3×C42C22×D312yes—
336C3×C42C22×D311yescharacteristic
337C3×C42C22×D311yescharacteristic
338C3×C42C22×D311yescharacteristic
339C3×C42C22×D312yes—
340C3×C42C22×D311yescharacteristic
341#217—38no—
342#217—38no—
343#217C22×D314yes—
344(C2×D3)⋊C4—38no—
345(C2×D3)⋊C4—38no—
346(C2×D3)⋊C4—38no—
347(C2×D3)⋊C4—38no—
348(C2×D3)⋊C4C22×D318yes—
349C4⋊Dic3—38no—
350C4⋊Dic3—38no—
351C4⋊Dic3C22×D314yes—
352C4⋊Dic3C22×D314yes—
353C4⋊Dic3C22×D314yes—
354Dic3⋊C4—38no—
355Dic3⋊C4—38no—
356Dic3⋊C4C22×D318yes—
357C4×Dic3—31no—
358C4×Dic3—31no—
359C4×Dic3—32no—
360C4×Dic3—32no—
361C4×Dic3—32no—
362C4×Dic3—32no—
363C4×Dic3—32no—
364C4×Dic3—32no—
365C4×Dic3—32no—
366C4×Dic3—32no—
367C4×Dic3—32no—
368C4×Dic3—31no—
369C4×Dic3—31no—
370C4×Dic3—32no—
371C4×Dic3—38no—
372C4×Dic3—38no—
373C4×Dic3—62no—
374C4×Dic3—62no—
375C4×Dic3—62no—
376C4×Dic3—62no—
377C4×Dic3—62no—
378C4×Dic3—61no—
379C4×Dic3—61no—
380C4×Dic3C22×D314yes—
381C22×C32—22no—
382C22×C32C2×#4112yes—
383C22×C32C2511yescharacteristic
384C2×C3⋊D3—28no—
385C2×C3⋊D3—22no—
386C2×C3⋊D3—22no—
387C2×C3⋊D3C2×#4114yes—
388C2×C3×D3—28no—
389C2×C3×D3—24no—
390C32×C4—22no—
391C32×C4C2×#4112yes—
392C32×C4C2×#4112yes—
393C32×C4C2×#4114yes—
394C3⋊Dic3—22no—
395C3⋊Dic3—22no—
396C3⋊Dic3C2×#4114yes—
397C3×Dic3—28no—
398C3×Dic3—24no—
399C2×#41—32no—
400C2×#41—94no—
401C23×C4—92no—
402C23×C4—91no—
403C4⋊Q8—31no—
404C4⋊Q8—32no—
405#127—31no—
406#126—98no—
407#125—32no—
408#125—94no—
409#124—32no—
410#124—94no—
411#123—98no—
412#123—94no—
413C22⋊Q8—34no—
414C22⋊Q8—94no—
415C22⋊Q8—94no—
416#121—34no—
417#121—94no—
418#121—94no—
419#120—94no—
420C4×Q8—34no—
421C4×Q8—94no—
422C4×Q8—94no—
423C4×D4—34no—
424C4×D4—98no—
425C4×D4—98no—
426C4×D4—98no—
427C4×D4—94no—
428C4×D4—94no—
429#117—32no—
430#117—94no—
431#117—98no—
432#117—94no—
433C2×C42—94no—
434C2×C42—91no—
435C2×C42—92no—
436C2×C42—92no—
437C2×C42—92no—
438C2×C42—92no—
439C2×C42—92no—
440C2×C42D3211yescharacteristic
441C23×C3—21no—
442C23×C3—34no—
443C23×C3C23×D311yescharacteristic
444C23×C3C23×D311yescharacteristic
445C22×D3—32no—
446C22×D3—32no—
447C22×D3—62no—
448C22×D3—64no—
449C22×D3—64no—
450C22×D3—68no—
451C22×D3—64no—
452C22×D3—62no—
453C22×D3—62no—
454C22×D3C23×D314yes—
455C3×Q8—64no—
456C3×Q8—68no—
457C3×D4—68no—
458C3×D4—64no—
459C3×D4—68no—
460C2×C3×C4—28no—
461C2×C3×C4—24no—
462C2×C3×C4—24no—
463C2×C3×C4—22no—
464C2×C3×C4—21no—
465C2×C3×C4—22no—
466C2×C3×C4—21no—
467C2×C3×C4—24no—
468C2×C3×C4—34no—
469C2×C3×C4—38no—
470C2×C3×C4—68no—
471C2×C3×C4#23714yescomplemented
472C2×C3×C4#23914yescomplemented
473C2×C3×C4C23×D312yes—
474C2×C3×C4C23×D312yes—
475C2×C3×C4C23×D311yescharacteristic
476C2×C3×C4C23×D311yescharacteristic
477C2×C3×C4C23×D312yes—
478C2×C3×C4C23×D312yes—
479C2×C3×C4C23×D311yescharacteristic
480C2×C3×C4C23×D311yescharacteristic
481#67—28no—
482#67—616no—
483C2×Dic3—32no—
484C2×Dic3—32no—
485C2×Dic3—32no—
486C2×Dic3—32no—
487C2×Dic3—32no—
488C2×Dic3—32no—
489C2×Dic3—62no—
490C2×Dic3—62no—
491C2×Dic3—62no—
492C2×Dic3—616no—
493C2×Dic3—64no—
494C2×Dic3—64no—
495C2×Dic3—68no—
496C2×Dic3—64no—
497C2×Dic3—62no—
498C2×Dic3—62no—
499C2×Dic3C23×D314yes—
500C2×Dic3C23×D318yes—
501D12—24no—
502D12—28no—
503D12—616no—
504C4×D3—28no—
505C4×D3—38no—
506C4×D3—38no—
507C4×D3—68no—
508C4×D3—64no—
509C4×D3—64no—
510C4×D3—616no—
511C4×D3—64no—
512C4×D3—64no—
513C4×D3—68no—
514C4×D3—68no—
515C4×D3—68no—
516C4×D3—68no—
517C4×D3—68no—
518C4×D3—64no—
519C4×D3—64no—
520C4×D3—64no—
521C4×D3—64no—
522C4×D3—64no—
523C4×D3—64no—
524Dic6—24no—
525Dic6—28no—
526C2×C32—22no—
527C2×C32C22×#4111yescharacteristic
528C2×C32C22×#4112yes—
529C3⋊D3—24no—
530C3×D3—44no—
531C24—91no—
532#41—68no—
533#41—1816no—
534C2×Q8—34no—
535C2×Q8—32no—
536C2×D4—34no—
537C2×D4—34no—
538C2×D4—32no—
539C2×D4—98no—
540C22×C4—34no—
541C22×C4—98no—
542C22×C4—92no—
543C22×C4—92no—
544C22×C4—91no—
545C22×C4—92no—
546C22×C4—92no—
547C22×C4—92no—
548C22×C4—92no—
549C22×C4—92no—
550C22×C4—188no—
551C22×C4—184no—
552C22×C4C2×D3212yes—
553C22×C4C2×D3211yescharacteristic
554C4⋊C4—34no—
555C4⋊C4—34no—
556C4⋊C4—34no—
557C4⋊C4—38no—
558C4⋊C4—98no—
559C4⋊C4—98no—
560C22⋊C4—34no—
561C22⋊C4—38no—
562C22⋊C4—98no—
563C22⋊C4—98no—
564C22⋊C4—98no—
565C42—34no—
566C42—98no—
567C42—92no—
568C42—92no—
569C42—92no—
570C42—92no—
571C42—92no—
572C42—91no—
573C42—91no—
574C42C2×D3211yescharacteristic
575C42C2×D3211yescharacteristic
576C42C2×D3212yes—
577C22×C3—24no—
578C22×C3—22no—
579C22×C3—22no—
580C22×C3—22no—
581C22×C3—21no—
582C22×C3—64no—
583C22×C3—68no—
584C22×C3C2×#23712yes—
585C22×C3C2×#23912yes—
586C22×C3C24×D311yescharacteristic
587C22×C3C24×D311yescharacteristic
588C2×D3—24no—
589C2×D3—28no—
590C2×D3—34no—
591C2×D3—34no—
592C2×D3—64no—
593C2×D3—64no—
594C2×D3—64no—
595C2×D3—616no—
596C2×D3—68no—
597C2×D3—68no—
598C2×D3—62no—
599C2×D3—62no—
600C2×D3—62no—
601C2×D3—62no—
602C3×C4—24no—
603C3×C4—22no—
604C3×C4—22no—
605C3×C4—22no—
606C3×C4—22no—
607C3×C4—24no—
608C3×C4—64no—
609C3×C4—68no—
610C3×C4C2×#23712yes—
611C3×C4C2×#23712yes—
612C3×C4C2×#23912yes—
613C3×C4C2×#23912yes—
614C3×C4D3×#4114yes—
615C3×C4D3×#4114yes—
616Dic3—24no—
617Dic3—28no—
618Dic3—34no—
619Dic3—34no—
620Dic3—64no—
621Dic3—64no—
622Dic3—64no—
623Dic3—62no—
624Dic3—62no—
625Dic3—62no—
626Dic3—62no—
627C32#344411yescharacteristic, complemented, Sylow
628C23—34no—
629C23—92no—
630C23—184no—
631C23—182no—
632C23C22×D3211yescharacteristic
633Q8—64no—
634Q8—68no—
635D4—68no—
636D4—64no—
637D4—68no—
638D4—1816no—
639C2×C4—24no—
640C2×C4—38no—
641C2×C4—34no—
642C2×C4—68no—
643C2×C4—92no—
644C2×C4—98no—
645C2×C4—92no—
646C2×C4—92no—
647C2×C4—184no—
648C2×C4—184no—
649C2×C4—1816no—
650C2×C4—184no—
651C2×C4—182no—
652C2×C4—184no—
653C2×C4—184no—
654C2×C4—184no—
655C2×C4#379614yescomplemented
656C2×C4C22×D3212yes—
657C2×C4C22×D3211yescharacteristic
658C2×C4C22×D3212yes—
659C2×C4C22×D3211yescharacteristic
660C2×C3—24no—
661C2×C3—22no—
662C2×C3—22no—
663C2×C3—21no—
664C2×C3—22no—
665C2×C3—124no—
666C2×C3C22×#23711yescharacteristic
667C2×C3C22×#23911yescharacteristic
668C2×C3C2×D3×#4112yes—
669C2×C3C2×D3×#4112yes—
670D3—44no—
671D3—68no—
672D3—64no—
673D3—64no—
674C22—22no—
675C22—64no—
676C22—68no—
677C22—94no—
678C22—188no—
679C22—182no—
680C22—182no—
681C22C2×#379612yes—
682C22C23×D3211yescharacteristic
683C4—22no—
684C4—64no—
685C4—68no—
686C4—94no—
687C4—182no—
688C4—182no—
689C4C2×#379612yes—
690C4C2×#379612yes—
691C4#6430614yes—
692C3—21no—
693C3#8621911yescharacteristic, complemented
694C3#8625711yescharacteristic, complemented
695C2—22no—
696C2—124no—
697C2—184no—
698C2C22×#379611yescharacteristic
699C2C2×#6430612yes—
subgroupG/H
centerC2×C4C22×D32
commutator, socle, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C42C22
hypercenterC2×C42D32
hypocenterC32#3444
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
1. C2×C42×C3⋊D3C2semidirect
2. C3×#5477C2semidirect
3. C3×#5470C2semidirect
4. #10595034C2semidirect
5. #10594965C2semidirect
6. #10594958C2semidirect
7. #10594922C2semidirect
8. #10593943C2semidirect
9. #10593907C2semidirect
10. C4×#3796C2semidirect
11. #10593875C2semidirect
12. #10593866C2semidirect
29. C3×#875C22semidirect
30. C3×#874C22semidirect
31. C3×C4×D12C22semidirect
32. C3×#870C22semidirect
33. C3×#869C22semidirect
34. C3×#869C22semidirect
35. C3×C4×Dic6C22semidirect
42. #63898C22semidirect
43. #63898C22semidirect
45. #63878C22semidirect
46. C4×D3×Dic3C22semidirect
47. #63872C22semidirect
50. #63863C22semidirect
51. #63862C22semidirect
52. #63855C22semidirect
55. #63843C22semidirect
56. #63843C22semidirect
77. #5477D3semidirect
81. #5470D3semidirect
200. #875C2×D3semidirect
201. #874C2×D3semidirect
203. C4×D12C2×D3semidirect
218. #870C2×D3semidirect
219. #869C2×D3semidirect
220. #869C2×D3semidirect
221. C4×Dic6C2×D3semidirect
228. C2×C32×C4#41semidirect
243. C4×C3⋊D3#41semidirect
471. C2×C3×C4#237semidirect
472. C2×C3×C4#239semidirect
627. C32#3444semidirect
655. C2×C4#3796semidirect
693. C3#86219semidirect
694. C3#86257semidirect

Maximal subgroups

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

subgroupindex
C2×C42×C3⋊D32
C3×#54772
C3×#54702
#105950342
#105949652
#105949582
#105949222
#105939432
#105939072
C4×#37962
#105938752
#105938662
#862573
#862193