Finite Group Databasebeta

← #11895848

Subgroups — #11895848

Order 1152.

792 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5568C211yesmaximal, characteristic, complemented
2Dic6×D12C211yesmaximal, characteristic, complemented
3#10592720C211yesmaximal, characteristic, complemented
4C3×#5026C211yesmaximal, characteristic, complemented
5#10591624C211yesmaximal, characteristic, complemented
6#10591623C211yesmaximal, characteristic, complemented
7#10591567C211yesmaximal, characteristic
8#10591564C211yesmaximal, characteristic, complemented
9#10590557C211yesmaximal, characteristic, complemented
10#10590555C211yesmaximal, characteristic, complemented
11#10590454C211yesmaximal, characteristic, complemented
12#10590452C211yesmaximal, characteristic
13#10590348C211yesmaximal, characteristic
14#10590276C211yesmaximal, characteristic, complemented
15#10590251C211yesmaximal, characteristic, complemented
16#83668—31nomaximal
17#79751—31nomaximal
18C2×D3×Dic6—21no—
19C32×C4×Q8C2211yescharacteristic
20#64078C2211yescharacteristic
21C3×#947C2211yescharacteristic
22C3×#944C2211yescharacteristic
23C2×C3×#215C2211yescharacteristic
24C3×#898—21no—
25C3×#896—21no—
26C3×#893C2211yescharacteristic
27C3×#887C2211yescharacteristic
28C3×#876—21no—
29C3×#875C2211yescharacteristic
30C3×C4×D12C2211yescharacteristic
31C3×#872—21no—
32C3×C4×Dic6C2211yescharacteristic
33#63918C2211yescharacteristic
34#63918C2211yescharacteristic
35#63893—21no—
36#63893—21no—
37Dic3×D12C2211yescharacteristic
38Dic3×D12C2211yescharacteristic
39#63857—21no—
40C2×#3715C2211yescharacteristic
41C2×#3713C2211yescharacteristic
42#63662C2211yescharacteristic
43#63662C2211yescharacteristic
44#63634C2211yescharacteristic
45#63634C2211yescharacteristic
46C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#809C2211yescharacteristic
49C3×#807C2211yescharacteristic
50C3×#803C2211yescharacteristic
51Dic3⋊(C3⋊C8)C2211yescharacteristic
52Dic3⋊(C3⋊C8)C2211yescharacteristic
53#63566C2211yescharacteristic
54#63566C2211yescharacteristic
55#63565C2211yescharacteristic
56#63563C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#556—31no—
62Q8×D12—31no—
63#5568D311yescharacteristic, complemented
64D4×Dic6—31no—
65C3×#440—31no—
66#5165—31no—
67#5162—31no—
68#5083—31no—
69#5079—31no—
70#5057—31no—
71#5057—31no—
72#5055—31no—
73#5055—31no—
74#5026—31no—
75#5026D311yescharacteristic, complemented
76#5024—31no—
77#5021—31no—
78#5021—31no—
79#5021—31no—
80#5021—61no—
81#5016—31no—
82C4×#213—31no—
83#5007—31no—
84#4890—31no—
85#4875—31no—
86#4794—31no—
87#4792—31no—
88#4757—31no—
89#4756—31no—
90#4714—31no—
91#4701—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×#634—21no—
94C2×C3×D12C2311yescharacteristic
95C2×C3×D12C2311yescharacteristic
96C2×C3×C4×D3—21no—
97C2×C3×C4×D3—21no—
98C2×C3×Dic6D411yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×#627—21no—
101C2×#627—21no—
102C2×D3×Dic3—21no—
103C2×D3×Dic3—21no—
104D3×Dic6—44no—
105C32×C4⋊C4—21no—
106C32×C4⋊C4C2311yescharacteristic
107C32×C42—21no—
108C32×C42C2311yescharacteristic
109C4⋊(C3⋊Dic3)—21no—
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×#215—22no—
115C3×(C2×D3)⋊C4—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3D411yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4—21no—
126C3×Dic3⋊C4D411yescharacteristic
127C3×Dic3⋊C4D411yescharacteristic
128C3×C4×Dic3—21no—
129C3×C4×Dic3C2311yescharacteristic
130C3×C4×Dic3C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132C2×C3×C3⋊C8C2311yescharacteristic
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137#3715—22no—
138#3713—22no—
139#3367—91noSylow
140C2×D3×Q8—61no—
141C22×Dic6—61no—
142C2×C3×SD16—31no—
143C3×C4⋊Q8—31no—
144C3×#126—61no—
145C3×#126—61no—
146C3×#124—31no—
147C3×#124—31no—
148C3×C22⋊Q8—61no—
149C3×C4×Q8—21no—
150C3×C4×Q8—31no—
151C3×C4×Q8—31no—
152C3×C4×Q8C2×D311yescharacteristic
153C3×C4×Q8C2×D311yescharacteristic
154C3×C4×D4—31no—
155C3×C4×D4—31no—
156C3×#117—61no—
157#947C2×D311yescharacteristic
158#944C2×D311yescharacteristic
159C2×#215—31no—
160C2×#215C2×D311yescharacteristic
161D4×Dic3—31no—
162D4×Dic3—31no—
163C2×#214—31no—
164C2×#213—31no—
165C2×#213—31no—
166#924—61no—
167#898—21no—
168#897—61no—
169#897—61no—
170#897—61no—
171#896—21no—
172#893C2×D311yescharacteristic
173#888—31no—
174#888—31no—
175#887C2×D311yescharacteristic
176#878—61no—
177#878—61no—
178#876—21no—
179#875C2×D311yescharacteristic
180C4×D12—31no—
181C4×D12—31no—
182C4×D12C2×D311yescharacteristic
183#872—21no—
184#869—31no—
185#869—31no—
186#869—31no—
187#869—31no—
188#869—61no—
189C4×Dic6C2×D311yescharacteristic
190C3×#107—31no—
191C3×#103—31no—
192C3×#102—31no—
193C3×#97—31no—
194#835—31no—
195#835—31no—
196#835—31no—
197#835—31no—
198#835—31no—
199#835—31no—
200#835—31no—
201#835—61no—
202#835—61no—
203#835C2×D311yescharacteristic
204#832—31no—
205#832—31no—
206#832—31no—
207#821—31no—
208#821—31no—
209#816—31no—
210#816—31no—
211#815—31no—
212Dic3⋊C8—31no—
213Dic3⋊C8—31no—
214C8×Dic3—31no—
215#810—31no—
216#809—31no—
217#809C2×D311yescharacteristic
218#807—31no—
219#807—31no—
220#807—31no—
221#807—31no—
222#807—61no—
223#807—61no—
224#807C2×D311yescharacteristic
225C4⋊(C3⋊C8)—31no—
226C4⋊(C3⋊C8)—31no—
227C4⋊(C3⋊C8)—31no—
228C4⋊(C3⋊C8)—31no—
229C4⋊(C3⋊C8)—61no—
230#803—31no—
231#803C2×D311yescharacteristic
232C4×C3⋊C8—31no—
233C22×C3×D3—21no—
234C22×C3×D3—21no—
235C32×Q8—21no—
236C32×Q8—21no—
237C2×C32×C4—21no—
238C2×C32×C4—21no—
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2×D411yescharacteristic
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3—21no—
244#634—42no—
245C2×C3×Dic3—21no—
246C2×C3×Dic3—21no—
247C2×C3×Dic3C2×D411yescharacteristic
248C2×C3×Dic3C2×D411yescharacteristic
249C2×C3×Dic3C2×D411yescharacteristic
250C2×C3×Dic3C2×D411yescharacteristic
251C3×D12—21no—
252C3×D12—21no—
253C3×D12—21no—
254C3×D12#4112yes—
255C3×C4×D3—42no—
256C3×C4×D3—42no—
257C3×Dic6—22no—
258C3×Dic6—21no—
259C3×Dic6—21no—
260#627—42no—
261#627—42no—
262D3×Dic3—42no—
263D3×Dic3—42no—
264C3⋊(C3⋊C8)—21no—
265C3⋊(C3⋊C8)—21no—
266C3×C3⋊C8—21no—
267C3×C3⋊C8—21no—
268#556—31no—
269D4×Q8—91no—
270#489—91no—
271#489—91no—
272#487—91no—
273#477—91no—
274#477—91no—
275#474—91no—
276#463—91no—
277#463—91no—
278#461—91no—
279#446—91no—
280#440—31no—
281#440—91no—
282C4×D8—91no—
283C2×C3×Q8—21no—
284C2×C3×Q8—31no—
285C2×C3×Q8—31no—
286C2×C3×Q8C22×D311yescharacteristic
287C2×C3×Q8C22×D311yescharacteristic
288C2×C3×D4—31no—
289C2×C3×D4—31no—
290C22×C3×C4—61no—
291C22×C3×C4—61no—
292C22×Dic3—61no—
293C22×Dic3—61no—
294D3×Q8—124no—
295C2×D12C22×D311yescharacteristic
296C2×D12C22×D311yescharacteristic
297C2×C4×D3—21no—
298C2×C4×D3—21no—
299C2×C4×D3—61no—
300C2×C4×D3—61no—
301C2×Dic6—61no—
302C2×Dic6—61no—
303C2×Dic6—61no—
304C2×Dic6—61no—
305C2×Dic6—61no—
306C2×Dic6—61no—
307C2×Dic6—121no—
308C2×Dic6—124no—
309C2×Dic6#6711yescharacteristic
310C2×Dic6C22×D311yescharacteristic
311C3×SD16—62no—
312C2×C3×C8—31no—
313C2×C3×C8—31no—
314C3×C4⋊C4—21no—
315C3×C4⋊C4—21no—
316C3×C4⋊C4—21no—
317C3×C4⋊C4—31no—
318C3×C4⋊C4—31no—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—31no—
321C3×C4⋊C4—41no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4—61no—
324C3×C4⋊C4—61no—
325C3×C4⋊C4C22×D311yescharacteristic
326C3×C4⋊C4C22×D311yescharacteristic
327C3×C22⋊C4—61no—
328C3×C22⋊C4—61no—
329C3×C22⋊C4—61no—
330C3×C22⋊C4—61no—
331C3×C22⋊C4—61no—
332C3×C22⋊C4—61no—
333C3×C42—21no—
334C3×C42—21no—
335C3×C42—21no—
336C3×C42—31no—
337C3×C42—31no—
338C3×C42—41no—
339C3×C42—61no—
340C3×C42C22×D311yescharacteristic
341C3×C42C22×D311yescharacteristic
342#217—61no—
343#217—61no—
344#215—22no—
345#215—62no—
346#214—62no—
347#213—62no—
348#213—62no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—21no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—21no—
353(C2×D3)⋊C4—21no—
354(C2×D3)⋊C4—21no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—121no—
368C4⋊Dic3#6711yescharacteristic
369C4⋊Dic3C22×D311yescharacteristic
370Dic3⋊C4—21no—
371Dic3⋊C4—21no—
372Dic3⋊C4—21no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4#6711yescharacteristic
376Dic3⋊C4#6711yescharacteristic
377C4×Dic3—21no—
378C4×Dic3C22×D311yescharacteristic
379C4×Dic3C22×D311yescharacteristic
380C2×C3⋊C8—31no—
381C2×C3⋊C8—31no—
382C2×C3⋊C8—31no—
383C2×C3⋊C8—31no—
384C2×C3⋊C8—61no—
385C2×C3⋊C8—61no—
386C2×C3⋊C8C22×D311yescharacteristic
387C2×C3⋊C8C22×D311yescharacteristic
388C22×C32C22×D411yescharacteristic
389C2×C3×D3—22no—
390C2×C3×D3—41no—
391C2×C3×D3—41no—
392C2×C3×D3—41no—
393C2×C3×D3—41no—
394C2×C3×D3—41no—
395C32×C4—21no—
396C32×C4—21no—
397C32×C4—41no—
398C32×C4—41no—
399C32×C4C2×#4111yescharacteristic
400C32×C42−1+411yescharacteristic
401C3⋊Dic3—41no—
402C3⋊Dic3—41no—
403C3×Dic3—21no—
404C3×Dic3—21no—
405C3×Dic3—21no—
406C3×Dic3—41no—
407C3×Dic3—41no—
408C3×Dic3AGL(1,ℤ/8)12yes—
409C22×Q8—181no—
410C2×SD16—31no—
411C2×SD16—91no—
412C2×D8—91no—
413C4⋊Q8—31no—
414C4⋊Q8—91no—
415C4⋊Q8—91no—
416C4⋊Q8—91no—
417#126—61no—
418#126—61no—
419#124—31no—
420#124—31no—
421C22⋊Q8—61no—
422C22⋊Q8—181no—
423C22⋊Q8—181no—
424C22⋊Q8—181no—
425C4×Q8—31no—
426C4×Q8—31no—
427C4×Q8D3211yescharacteristic
428C4×D4—31no—
429C4×D4—31no—
430C4×D4—91no—
431C4×D4—91no—
432#117—61no—
433#107—31no—
434#107—91no—
435#107—91no—
436C4⋊C8—91no—
437C4⋊C8—91no—
438C4⋊C8—91no—
439#103—31no—
440#103—91no—
441#103—91no—
442#103—91no—
443#103—91no—
444#103—91no—
445#102—31no—
446#102—91no—
447#102—91no—
448#102—91no—
449#97—31no—
450#97—91no—
451C4×C8—91no—
452C23×C3—61no—
453C23×C3—61no—
454C22×D3—21no—
455C22×D3—21no—
456C3×Q8—22no—
457C3×Q8—21no—
458C3×Q8—21no—
459C3×Q8—21no—
460C3×Q8—21no—
461C3×Q8—41no—
462C3×Q8—62no—
463C3×Q8—61no—
464C3×Q8—61no—
465C3×D4—32no—
466C3×D4—61no—
467C3×D4—61no—
468C3×D4—61no—
469C2×C3×C4—21no—
470C2×C3×C4—21no—
471C2×C3×C4—21no—
472C2×C3×C4—21no—
473C2×C3×C4—21no—
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—31no—
477C2×C3×C4—31no—
478C2×C3×C4—31no—
479C2×C3×C4—31no—
480C2×C3×C4—41no—
481C2×C3×C4—41no—
482C2×C3×C4—61no—
483C2×C3×C4—61no—
484C2×C3×C4—122no—
485C2×C3×C4—122no—
486C2×C3×C4D3×D411yescharacteristic
487C2×C3×C4D3×D411yescharacteristic
488C2×C3×C4C2×#6711yescharacteristic
489C2×C3×C4C2×#6711yescharacteristic
490C2×C3×C4C23×D311yescharacteristic
491C2×C3×C4C23×D311yescharacteristic
492C2×Dic3—21no—
493C2×Dic3—21no—
494C2×Dic3—61no—
495C2×Dic3—61no—
496C2×Dic3—61no—
497C2×Dic3—61no—
498C2×Dic3—121no—
499C2×Dic3—121no—
500C2×Dic3—122no—
501C2×Dic3—122no—
502C2×Dic3C2×#6711yescharacteristic
503C2×Dic3C2×#6711yescharacteristic
504C2×Dic3C2×#6711yescharacteristic
505C2×Dic3C2×#6711yescharacteristic
506D12—21no—
507D12—21no—
508D12—21no—
509D12#23512yes—
510C4×D3—42no—
511C4×D3—42no—
512C4×D3—122no—
513C4×D3—122no—
514Dic6—22no—
515Dic6—21no—
516Dic6—21no—
517Dic6—122no—
518Dic6—122no—
519Dic6—122no—
520Dic6—122no—
521Dic6—122no—
522Dic6—122no—
523Dic6—242no—
524C3×C8—61no—
525C3×C8—61no—
526C3⋊C8—21no—
527C3⋊C8—21no—
528C3⋊C8—61no—
529C3⋊C8—61no—
530C3⋊C8—61no—
531C3⋊C8—61no—
532C3⋊C8—121no—
533C3⋊C8—121no—
534C2×C32#54811yescharacteristic
535C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
536C2×C32#57811yescharacteristic
537C3×D3—42no—
538C3×D3—81no—
539C2×Q8—31no—
540C2×Q8—31no—
541C2×Q8—181no—
542C2×Q8—181no—
543C2×Q8—181no—
544C2×Q8—364no—
545C2×Q8C2×D3211yescharacteristic
546C2×D4—31no—
547C2×D4—31no—
548C22×C4—61no—
549C22×C4—61no—
550C22×C4—181no—
551C22×C4—181no—
552SD16—62no—
553SD16—182no—
554D8—182no—
555C2×C8—31no—
556C2×C8—31no—
557C2×C8—91no—
558C2×C8—91no—
559C4⋊C4—21no—
560C4⋊C4—31no—
561C4⋊C4—31no—
562C4⋊C4—31no—
563C4⋊C4—31no—
564C4⋊C4—61no—
565C4⋊C4—61no—
566C4⋊C4—61no—
567C4⋊C4—91no—
568C4⋊C4—91no—
569C4⋊C4—181no—
570C4⋊C4—181no—
571C4⋊C4—181no—
572C4⋊C4C2×D3211yescharacteristic
573C22⋊C4—61no—
574C22⋊C4—61no—
575C22⋊C4—61no—
576C22⋊C4—61no—
577C22⋊C4—61no—
578C22⋊C4—61no—
579C22⋊C4—181no—
580C22⋊C4—181no—
581C42—21no—
582C42—31no—
583C42—31no—
584C42—61no—
585C42C2×D3211yescharacteristic
586C22×C3—21no—
587C22×C3—62no—
588C22×C3—121no—
589C22×C3—121no—
590C22×C3—121no—
591C22×C3—121no—
592C22×C3—121no—
593C22×C3C2×D3×D411yescharacteristic
594C22×C3C22×#6711yescharacteristic
595C2×D3—22no—
596C2×D3—41no—
597C2×D3—41no—
598C2×D3—41no—
599C2×D3—41no—
600C2×D3—41no—
601C3×C4—22no—
602C3×C4—21no—
603C3×C4—21no—
604C3×C4—21no—
605C3×C4—21no—
606C3×C4—21no—
607C3×C4—21no—
608C3×C4—32no—
609C3×C4—41no—
610C3×C4—42no—
611C3×C4—41no—
612C3×C4—41no—
613C3×C4—41no—
614C3×C4—41no—
615C3×C4—61no—
616C3×C4—61no—
617C3×C4—61no—
618C3×C4—81no—
619C3×C4—121no—
620C3×C4—121no—
621C3×C4C2×#23511yescharacteristic
622C3×C4D3×#4111yescharacteristic
623C3×C4#101011yescharacteristic
624C3×C4#101011yescharacteristic
625Dic3—21no—
626Dic3—21no—
627Dic3—21no—
628Dic3—41no—
629Dic3—41no—
630Dic3—121no—
631Dic3—121no—
632Dic3—121no—
633Dic3—121no—
634Dic3—241no—
635Dic3—241no—
636Dic3#94912yes—
637C32#336711yescharacteristic, complemented, Sylow
638C23—61no—
639C23—61no—
640Q8—21no—
641Q8—21no—
642Q8—62no—
643Q8—61no—
644Q8—61no—
645Q8—362no—
646Q8—362no—
647Q8—362no—
648D4—32no—
649D4—61no—
650D4—61no—
651D4—61no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—31no—
655C2×C4—31no—
656C2×C4—31no—
657C2×C4—31no—
658C2×C4—61no—
659C2×C4—61no—
660C2×C4—122no—
661C2×C4—122no—
662C2×C4—181no—
663C2×C4—181no—
664C2×C4—362no—
665C2×C4—362no—
666C2×C4D3×#6711yescharacteristic
667C2×C4D3×#6711yescharacteristic
668C2×C4C22×D3211yescharacteristic
669C8—61no—
670C8—61no—
671C8—181no—
672C8—181no—
673C2×C3—21no—
674C2×C3—21no—
675C2×C3—21no—
676C2×C3—122no—
677C2×C3—241no—
678C2×C3#555211yescharacteristic
679C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
680C2×C3#577911yescharacteristic
681C2×C3C2×#94911yescharacteristic
682C2×C3#583111yescharacteristic
683C2×C3#583811yescharacteristic
684D3—42no—
685D3—81no—
686C22—62no—
687C22—121no—
688C22—121no—
689C22—121no—
690C22—121no—
691C22—121no—
692C22C2×D3×#6711yescharacteristic
693C4—21no—
694C4—21no—
695C4—32no—
696C4—41no—
697C4—41no—
698C4—61no—
699C4—61no—
700C4—61no—
701C4—121no—
702C4—121no—
703C4—361no—
704C4—361no—
705C4#6429811yescharacteristic
706C4D3×#23511yescharacteristic
707C3—21no—
708C3#7975111yescharacteristic, complemented
709C3#8366811yescharacteristic, complemented
710C2—122no—
711C2—241no—
712C2#1059489911yescharacteristic
713C2#1059532811yescharacteristic
714C2D3×#94911yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×Q8C22
socleC22×C32C22×D4
prime radicalC2×#3713C22
hypercenterC4×Q8D32
hypocenterC32#3367
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
1. C3×#5568C2semidirect
2. Dic6×D12C2semidirect
3. #10592720C2semidirect
4. C3×#5026C2semidirect
5. #10591624C2semidirect
6. #10591623C2semidirect
8. #10591564C2semidirect
9. #10590557C2semidirect
10. #10590555C2semidirect
11. #10590454C2semidirect
14. #10590276C2semidirect
15. #10590251C2semidirect
63. #5568D3semidirect
75. #5026D3semidirect
637. C32#3367semidirect
708. C3#79751semidirect
709. C3#83668semidirect

Maximal subgroups

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

subgroupindex
C3×#55682
Dic6×D122
#105927202
C3×#50262
#105916242
#105916232
#105915672
#105915642
#105905572
#105905552
#105904542
#105904522
#105903482
#105902762
#105902512
#836683
#797513