Finite Group Databasebeta

← #11660658

Subgroups — #11660658

Order 768.

1762 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86219C211yesmaximal, characteristic
2C3×#2980C211yesmaximal, characteristic, complemented
3#83279C211yesmaximal, characteristic, complemented
4#79462C214yesmaximal, complemented
5#79461C214yesmaximal, complemented
6#79458C214yesmaximal, complemented
7#79456C214yesmaximal, complemented
8#79331C211yesmaximal, characteristic, complemented
9D3×#432C211yesmaximal, characteristic, complemented
10#79317C211yesmaximal, characteristic, complemented
11#79317C211yesmaximal, characteristic, complemented
12#78664C214yesmaximal, complemented
13#78650C214yesmaximal, complemented
14#60293—31nomaximal, Sylow
15C3×#532C2211yescharacteristic
16#5828C2212yes—
17Dic3×#41C2212yes—
18#5728C411yescharacteristic
19#5728C411yescharacteristic
20#5716C411yescharacteristic
21#5716C411yescharacteristic
22#5680C412yes—
23#5680C412yes—
24#5606C412yes—
25#5606C412yes—
26#5600C412yes—
27#5600C412yes—
28#5557C2212yes—
29#5557C2212yes—
30C4×#237C2212yes—
31C4×#237C2212yes—
32C2×C42×D3C2211yescharacteristic
33#5470C2211yescharacteristic
34C3×#435C2214yescomplemented
35C3×#435C2214yescomplemented
36C3×#432C2211yescharacteristic
37C3×#432C2211yescharacteristic
38C3×#408C2214yes—
39#5234C2214yes—
40#5128C2214yes—
41#5127C2214yes—
42#5122C2214yescomplemented
43#5118C2214yescomplemented
44#5111C2214yes—
45C8×#67C2214yes—
46#5101C2214yescomplemented
47C2×Dic3⋊C8C2214yescomplemented
48#5011C2214yescomplemented
49#5011C2214yescomplemented
50#4926C2211yescharacteristic
51#4926C2211yescharacteristic
52#4837C2212yes—
53#4835C2212yes—
54#4833C2212yes—
55D3×C4⋊C8C2212yes—
56#4828C2214yescomplemented
57#4828C2214yescomplemented
58#4730C2214yes—
59#4729C2214yes—
60#4728C2214yes—
61#4726C2212yes—
62#67⋊C8C2214yes—
63D3×C22⋊C8C2212yes—
64#4720C2214yes—
65#4720C2214yes—
66#4720C2214yescomplemented
67#4720C2214yescomplemented
68#4719C2212yes—
69#4719C2214yescomplemented
70#4718C2212yes—
71#4718C2214yescomplemented
72#4707C2212yes—
73#4705C2212yes—
74#4705C2212yes—
75D3×#97C2212yes—
76#4701C2214yescomplemented
77#4701C2214yescomplemented
78#3444—31no—
79#2990—34no—
80#2989—34no—
81#2987—31no—
82#2987—31no—
83#2980—31no—
84#2980D311yescharacteristic, complemented
85#2976—34no—
86#2968—34no—
87#2967—34no—
88#2925—34no—
89#2920—31no—
90C2×#432—31no—
91C2×C3×#41C2312yes—
92C2×#237C2×C412yes—
93C2×#237C2×C412yes—
94C22×C4×D3C2×C411yescharacteristic
95C22×C4×D3C2×C411yescharacteristic
96C22×C4×D3C2311yescharacteristic
97C2×C3×M16C2314yes—
98C22×C3×C8C2314yes—
99C3×C4⋊Q8C2×C411yescharacteristic
100C3×#127C2×C411yescharacteristic
101C3×#124C2×C412yes—
102C3×#121C2×C412yes—
103C3×#121C2×C412yes—
104C3×C4×D4C2312yes—
105C3×C4×D4C2312yes—
106C2×C3×C42C2311yescharacteristic
107#946C2×C412yes—
108#946C2×C412yes—
109Q8×Dic3C2×C412yes—
110Q8×Dic3C2×C412yes—
111#938C2×C412yes—
112#938C2×C412yes—
113#938C2×C412yes—
114#938C2×C412yes—
115#937C2×C414yes—
116#936C2×C412yes—
117#936C2×C412yes—
118#935C2×C414yes—
119D4×Dic3C2×C412yes—
120D4×Dic3C2×C412yes—
121D4×Dic3C2×C412yes—
122D4×Dic3C2×C412yes—
123D4×Dic3C2×C414yes—
124D4×Dic3C2×C414yes—
125C4×#67C2314yes—
126C4×#67C2314yes—
127#926C2314yes—
128#926C2312yes—
129#924C2×C412yes—
130#924C2×C412yes—
131C2×C4×Dic3C2×C411yescharacteristic
132C2×C4×Dic3C2×C411yescharacteristic
133C2×C4×Dic3C2311yescharacteristic
134C2×C4×Dic3C2314yes—
135C2×#208C2314yes—
136C22×C3⋊C8C2314yes—
137C2×ΓL(1,𝔽25)C2314yes—
138C2×D3×C8C2314yes—
139#897C2×C412yes—
140#897C2×C412yes—
141#892C2×C412yes—
142#892C2×C412yes—
143#890C2×C412yes—
144#890C2×C412yes—
145#887C2×C412yes—
146#887C2×C412yes—
147#883C2×C414yes—
148#883C2×C414yes—
149#67⋊C4C2×C414yes—
150#67⋊C4C2×C414yes—
151#879C2×C414yes—
152#879C2×C414yes—
153#877C2×C414yes—
154#877C2×C414yes—
155C42×D3C2×C411yescharacteristic
156C42×D3C2×C411yescharacteristic
157C42×D3C2×C411yescharacteristic
158C42×D3C2×C411yescharacteristic
159C42×D3C2311yescharacteristic
160C42×D3C2311yescharacteristic
161C42×D3C2311yescharacteristic
162C42×D3C2311yescharacteristic
163#870C2×C412yes—
164#869C2×C411yescharacteristic
165#869C2×C411yescharacteristic
166C4×Dic6C2312yes—
167C4×Dic6C2312yes—
168C3×C4⋊C8C2312yes—
169C3×C4⋊C8C2312yes—
170C3×C22⋊C8C2312yes—
171C3×C22⋊C8C2314yes—
172C3×C22⋊C8C2312yes—
173C3×C22⋊C8C2314yes—
174C3×#97C2312yes—
175C3×#97C2312yes—
176#830C2314yes—
177#830C2314yes—
178#830C2312yes—
179#830C2312yes—
180(C2×D3)⋊C8C2314yes—
181(C2×D3)⋊C8C2314yes—
182#815C2314yes—
183#815C2314yes—
184#815C2314yes—
185Dic3⋊C8C2314yes—
186Dic3⋊C8C2314yes—
187Dic3⋊C8C2314yes—
188Dic3⋊C8C2314yes—
189Dic3⋊C8C2314yes—
190Dic3⋊C8C2314yes—
191C8×Dic3C2314yes—
192C8×Dic3C2314yes—
193C8×Dic3C2314yes—
194C4⋊(C3⋊C8)C2312yes—
195C4⋊(C3⋊C8)C2312yes—
196#803C2312yes—
197#803C2312yes—
198#533—31no—
199#533—31no—
200#533—31no—
201#532—31no—
202#532—31no—
203#532C2×D311yescharacteristic
204#529—32no—
205#529—32no—
206#529—32no—
207#529—32no—
208#529—32no—
209#529—32no—
210#525—32no—
211#525—32no—
212#525—32no—
213C4×#41—32no—
214C4×#41—32no—
215C4×#41—32no—
216C22×C42—31no—
217#446—34no—
218#446—34no—
219#446—34no—
220#446—34no—
221#436—34no—
222#436—34no—
223#435—34no—
224#435—34no—
225#435—34no—
226#435—34no—
227#435—34no—
228#435—34no—
229#435C2×D314yescomplemented
230#435C2×D314yescomplemented
231C8×D4—34no—
232C8×D4—34no—
233#433—34no—
234#433—34no—
235#433—34no—
236#433—34no—
237#432—31no—
238#432—31no—
239#432—32no—
240#432—32no—
241#432—34no—
242#432—32no—
243#432—32no—
244#432C2×D311yescharacteristic
245#432C2×D311yescharacteristic
246#431—32no—
247#431—32no—
248#431—34no—
249#423—34no—
250#423—32no—
251C2×C4⋊C8—34no—
252C2×C4⋊C8—32no—
253#408—34no—
254#408C2×D314yes—
255#407—32no—
256C2×C22⋊C8—32no—
257#405—34no—
258#405—34no—
259C4×M16—32no—
260C2×#97—32no—
261C23×D3C22×C411yescharacteristic
262C3×#41—42no—
263C3×#41—42no—
264C2×C3×Q8C22×C412yes—
265C2×C3×D4C22×C414yes—
266C2×C3×D4C22×C412yes—
267C2×C3×D4C22×C412yes—
268C2×C3×D4C22×C412yes—
269C22×C3×C4C22×C411yescharacteristic
270C22×C3×C4C22×C411yescharacteristic
271C22×C3×C4C2411yescharacteristic
272C22×C3×C4C2414yes—
273C2×#67C22×C414yes—
274C2×#67C22×C414yes—
275C22×Dic3C22×C414yes—
276C22×Dic3C22×C411yescharacteristic
277C22×Dic3C22×C414yes—
278C22×Dic3C22×C411yescharacteristic
279C22×Dic3C22×C411yescharacteristic
280#237—44no—
281#237—44no—
282C2×C4×D3—42no—
283C2×C4×D3—42no—
284C2×C4×D3—42no—
285C2×C4×D3C22×C411yescharacteristic
286C2×C4×D3C22×C411yescharacteristic
287C2×C4×D3C22×C411yescharacteristic
288C2×C4×D3C22×C411yescharacteristic
289C2×C4×D3C22×C411yescharacteristic
290C2×C4×D3C22×C411yescharacteristic
291C2×C4×D3C22×C411yescharacteristic
292C2×C4×D3C22×C411yescharacteristic
293C2×C4×D3C22×C411yescharacteristic
294C2×C4×D3C22×C411yescharacteristic
295C2×C4×D3C2411yescharacteristic
296C2×C4×D3C2411yescharacteristic
297C2×Dic6C22×C412yes—
298C2×Dic6C22×C412yes—
299C3×M16—44no—
300C2×C3×C8—44no—
301C2×C3×C8C2414yes—
302C2×C3×C8C2414yes—
303C3×C4⋊C4C22×C412yes—
304C3×C4⋊C4C22×C412yes—
305C3×C22⋊C4C22×C414yes—
306C3×C22⋊C4C22×C414yes—
307C3×C42C22×C411yescharacteristic
308C3×C42C22×C411yescharacteristic
309C3×C42C2411yescharacteristic
310C3×C42C2411yescharacteristic
311#217C22×C414yes—
312#217C22×C414yes—
313#217C22×C414yes—
314#217C22×C414yes—
315#217C22×C414yes—
316(C2×D3)⋊C4C22×C414yes—
317(C2×D3)⋊C4C22×C414yes—
318C4⋊Dic3C22×C412yes—
319C4⋊Dic3C22×C412yes—
320C4⋊Dic3C22×C412yes—
321C4⋊Dic3C22×C412yes—
322C4⋊Dic3C22×C414yes—
323C4⋊Dic3C22×C414yes—
324Dic3⋊C4C22×C414yes—
325Dic3⋊C4C22×C414yes—
326Dic3⋊C4C22×C414yes—
327Dic3⋊C4C22×C414yes—
328C4×Dic3C22×C411yescharacteristic
329C4×Dic3C22×C411yescharacteristic
330C4×Dic3C22×C411yescharacteristic
331C4×Dic3C22×C411yescharacteristic
332C4×Dic3C22×C411yescharacteristic
333C4×Dic3C22×C411yescharacteristic
334C4×Dic3C22×C411yescharacteristic
335C4×Dic3C22×C411yescharacteristic
336C4×Dic3C22×C411yescharacteristic
337C4×Dic3C22×C411yescharacteristic
338C4×Dic3C22×C414yes—
339C4×Dic3C22×C414yes—
340C4×Dic3C2411yescharacteristic
341C4×Dic3C2414yes—
342C4×Dic3C2411yescharacteristic
343#208—44no—
344C2×C3⋊C8—44no—
345C2×C3⋊C8C2414yes—
346C2×C3⋊C8C2414yes—
347ΓL(1,𝔽25)—44no—
348D3×C8—44no—
349C2×#41—32no—
350C2×#41—32no—
351C2×#41C22×D312yes—
352C23×C4—31no—
353C23×C4—31no—
354C23×C4—31no—
355C2×M16—34no—
356C2×M16—34no—
357C2×M16C22×D314yes—
358C22×C8—34no—
359C22×C8—34no—
360C22×C8C22×D314yes—
361C4⋊Q8—31no—
362C4⋊Q8—31no—
363C4⋊Q8C4×D311yescharacteristic
364#127C4×D311yescharacteristic
365#126—34no—
366#126—34no—
367#125—32no—
368#125—32no—
369#125—32no—
370#124—32no—
371#124—32no—
372#124C4×D312yes—
373#123—34no—
374#123—34no—
375#123—34no—
376C22⋊Q8—32no—
377C22⋊Q8—32no—
378C22⋊Q8—32no—
379C22⋊Q8—32no—
380C22⋊Q8—32no—
381C22⋊Q8—32no—
382#121—32no—
383#121—32no—
384#121—32no—
385#121—32no—
386#121C4×D312yes—
387#121C4×D312yes—
388#120—34no—
389C4×Q8—32no—
390C4×Q8—32no—
391C4×Q8—32no—
392C4×Q8—32no—
393C4×Q8—32no—
394C4×Q8—32no—
395C4×D4—34no—
396C4×D4—34no—
397C4×D4—32no—
398C4×D4—32no—
399C4×D4—32no—
400C4×D4—32no—
401C4×D4—34no—
402C4×D4—34no—
403C4×D4—34no—
404C4×D4—34no—
405C4×D4C22×D312yes—
406C4×D4C22×D312yes—
407#117—32no—
408#117—34no—
409#117—32no—
410#117—32no—
411#117—34no—
412#117—34no—
413C2×C42—31no—
414C2×C42—31no—
415C2×C42—34no—
416C2×C42—31no—
417C2×C42—31no—
418C2×C42—31no—
419C2×C42—31no—
420C2×C42—31no—
421C2×C42—31no—
422C2×C42—31no—
423C2×C42—31no—
424C2×C42—31no—
425C2×C42C22×D311yescharacteristic
426C4⋊C8—34no—
427C4⋊C8—34no—
428C4⋊C8—34no—
429C4⋊C8—34no—
430C4⋊C8—34no—
431C4⋊C8—34no—
432C4⋊C8—32no—
433C4⋊C8—32no—
434C4⋊C8C22×D312yes—
435C4⋊C8C22×D312yes—
436C22⋊C8—32no—
437C22⋊C8—32no—
438C22⋊C8—34no—
439C22⋊C8—34no—
440C22⋊C8—34no—
441C22⋊C8—34no—
442C22⋊C8C22×D312yes—
443C22⋊C8C22×D312yes—
444C22⋊C8C22×D314yes—
445C22⋊C8C22×D314yes—
446#97—34no—
447#97—34no—
448#97—34no—
449#97—32no—
450#97—32no—
451#97C22×D312yes—
452#97C22×D312yes—
453C4×C8—34no—
454C4×C8—34no—
455C4×C8—34no—
456C23×C3C23×C414yes—
457C23×C3C23×C411yescharacteristic
458C22×D3—22no—
459C22×D3—41no—
460C22×D3—41no—
461C22×D3C23×C411yescharacteristic
462C22×D3C23×C411yescharacteristic
463C3×Q8—42no—
464C3×D4—42no—
465C3×D4—42no—
466C3×D4—42no—
467C3×D4—44no—
468C2×C3×C4—24no—
469C2×C3×C4—24no—
470C2×C3×C4—22no—
471C2×C3×C4—41no—
472C2×C3×C4—41no—
473C2×C3×C4C23×C411yescharacteristic
474C2×C3×C4C23×C411yescharacteristic
475C2×C3×C4C23×C414yes—
476C2×C3×C4C23×C411yescharacteristic
477C2×C3×C4C23×C411yescharacteristic
478C2×C3×C4C23×C411yescharacteristic
479C2×C3×C4C2511yescharacteristic
480#67—28no—
481#67—44no—
482C2×Dic3—22no—
483C2×Dic3—28no—
484C2×Dic3—41no—
485C2×Dic3—41no—
486C2×Dic3—44no—
487C2×Dic3C23×C411yescharacteristic
488C2×Dic3C23×C411yescharacteristic
489C2×Dic3C23×C411yescharacteristic
490C2×Dic3C23×C411yescharacteristic
491C2×Dic3C23×C411yescharacteristic
492C2×Dic3C23×C414yes—
493C2×Dic3C23×C414yes—
494C2×Dic3C23×C411yescharacteristic
495C4×D3—22no—
496C4×D3—22no—
497C4×D3—22no—
498C4×D3—22no—
499C4×D3—22no—
500C4×D3—22no—
501C4×D3—41no—
502C4×D3—41no—
503C4×D3—41no—
504C4×D3—41no—
505C4×D3—41no—
506C4×D3—41no—
507Dic6—42no—
508Dic6—42no—
509C3×C8—24no—
510C3×C8—24no—
511C3⋊C8—24no—
512C3⋊C8—24no—
513C24—31no—
514#41—42no—
515#41—42no—
516#41—124no—
517#41—124no—
518C2×Q8—32no—
519C2×Q8—32no—
520C2×Q8C2×C4×D312yes—
521C2×D4—34no—
522C2×D4—34no—
523C2×D4C2×C4×D314yes—
524C2×D4C2×C4×D312yes—
525C2×D4C2×C4×D312yes—
526C2×D4C2×C4×D312yes—
527C22×C4—31no—
528C22×C4—34no—
529C22×C4—31no—
530C22×C4—31no—
531C22×C4—34no—
532C22×C4—31no—
533C22×C4—31no—
534C22×C4—31no—
535C22×C4—31no—
536C22×C4—31no—
537C22×C4—31no—
538C22×C4—31no—
539C22×C4—31no—
540C22×C4—31no—
541C22×C4—31no—
542C22×C4—31no—
543C22×C4—31no—
544C22×C4—122no—
545C22×C4—122no—
546C22×C4—122no—
547C22×C4C2×C4×D311yescharacteristic
548C22×C4C2×C4×D311yescharacteristic
549C22×C4C23×D311yescharacteristic
550C22×C4C23×D314yes—
551M16—44no—
552M16—124no—
553M16—124no—
554C2×C8—34no—
555C2×C8—34no—
556C2×C8—44no—
557C2×C8—124no—
558C2×C8—124no—
559C2×C8C23×D314yes—
560C2×C8C23×D314yes—
561C4⋊C4—32no—
562C4⋊C4—32no—
563C4⋊C4—32no—
564C4⋊C4—32no—
565C4⋊C4—34no—
566C4⋊C4—34no—
567C4⋊C4—34no—
568C4⋊C4—34no—
569C4⋊C4—34no—
570C4⋊C4—34no—
571C4⋊C4C2×C4×D312yes—
572C4⋊C4C2×C4×D312yes—
573C22⋊C4—34no—
574C22⋊C4—34no—
575C22⋊C4—34no—
576C22⋊C4—34no—
577C22⋊C4—34no—
578C22⋊C4—34no—
579C22⋊C4—34no—
580C22⋊C4C2×C4×D314yes—
581C22⋊C4C2×C4×D314yes—
582C42—31no—
583C42—31no—
584C42—31no—
585C42—31no—
586C42—31no—
587C42—31no—
588C42—31no—
589C42—31no—
590C42—31no—
591C42—31no—
592C42—34no—
593C42—34no—
594C42—31no—
595C42—34no—
596C42—31no—
597C42C2×C4×D311yescharacteristic
598C42C2×C4×D311yescharacteristic
599C42C23×D311yescharacteristic
600C42C23×D311yescharacteristic
601C22×C3—21no—
602C22×C3—24no—
603C22×C3—24no—
604C22×C3—21no—
605C22×C3—24no—
606C22×C3—21no—
607C22×C3C24×C411yescharacteristic
608C2×D3—21no—
609C2×D3—21no—
610C2×D3—21no—
611C2×D3—21no—
612C2×D3—21no—
613C2×D3—44no—
614C2×D3#56812yes—
615C3×C4—21no—
616C3×C4—24no—
617C3×C4—21no—
618C3×C4—21no—
619C3×C4—21no—
620C3×C4—21no—
621C3×C4#58512yes—
622Dic3—21no—
623Dic3—21no—
624Dic3—24no—
625Dic3—24no—
626Dic3—21no—
627Dic3—21no—
628Dic3—21no—
629Dic3#56812yes—
630C23—31no—
631C23—31no—
632C23—62no—
633C23—121no—
634C23—121no—
635C23C22×C4×D314yes—
636C23C22×C4×D311yescharacteristic
637Q8—42no—
638Q8—122no—
639Q8—122no—
640D4—42no—
641D4—44no—
642D4—42no—
643D4—42no—
644D4—68no—
645D4—124no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—22no—
649C2×C4—31no—
650C2×C4—31no—
651C2×C4—31no—
652C2×C4—31no—
653C2×C4—31no—
654C2×C4—31no—
655C2×C4—34no—
656C2×C4—34no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—62no—
660C2×C4—62no—
661C2×C4—62no—
662C2×C4—62no—
663C2×C4—62no—
664C2×C4—68no—
665C2×C4—62no—
666C2×C4—62no—
667C2×C4—121no—
668C2×C4—121no—
669C2×C4—121no—
670C2×C4—121no—
671C2×C4—121no—
672C2×C4—121no—
673C2×C4—121no—
674C2×C4—121no—
675C2×C4—124no—
676C2×C4C22×C4×D311yescharacteristic
677C2×C4C22×C4×D311yescharacteristic
678C2×C4C22×C4×D311yescharacteristic
679C2×C4C22×C4×D311yescharacteristic
680C2×C4C22×C4×D311yescharacteristic
681C2×C4C22×C4×D314yes—
682C2×C4C24×D311yescharacteristic
683C8—24no—
684C8—24no—
685C8—64no—
686C8—64no—
687C2×C3—41no—
688C2×C3—44no—
689C2×C3#342811yescharacteristic
690C2×C3C2×#56811yescharacteristic
691C2×C3C2×#56811yescharacteristic
692D3—22no—
693D3—41no—
694C22—21no—
695C22—24no—
696C22—21no—
697C22—21no—
698C22—24no—
699C22—24no—
700C22—32no—
701C22—61no—
702C22—61no—
703C22—61no—
704C22—61no—
705C22—61no—
706C22—124no—
707C22C23×C4×D311yescharacteristic
708C4—21no—
709C4—24no—
710C4—21no—
711C4—21no—
712C4—21no—
713C4—21no—
714C4—32no—
715C4—61no—
716C4—61no—
717C4—61no—
718C4—61no—
719C4—61no—
720C4—64no—
721C4—64no—
722C4#596612yes—
723C3#6029311yescharacteristic, complemented, Sylow
724C2—41no—
725C2—44no—
726C2—62no—
727C2—121no—
728C2#8585611yescharacteristic
729C2D3×#56811yescharacteristic
730C2D3×#56811yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D3
commutator, socleC22×C3C24×C4
FittingC3×#2980C2
prime radical#86219C2
cosocleC2×C3×C4C25
hypercenter#2980D3
hypocenterC3#60293
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ #2980

Complements

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

NH ≅ G/Ntype
2. C3×#2980C2semidirect
3. #83279C2semidirect
4. #79462C2semidirect
5. #79461C2semidirect
6. #79458C2semidirect
7. #79456C2semidirect
8. #79331C2semidirect
9. D3×#432C2semidirect
10. #79317C2semidirect
11. #79317C2semidirect
12. #78664C2semidirect
13. #78650C2semidirect
34. C3×#435C22semidirect
35. C3×#435C22semidirect
42. #5122C22semidirect
43. #5118C22semidirect
46. #5101C22semidirect
47. C2×Dic3⋊C8C22semidirect
48. #5011C22semidirect
49. #5011C22semidirect
56. #4828C22semidirect
57. #4828C22semidirect
66. #4720C22semidirect
67. #4720C22semidirect
69. #4719C22semidirect
71. #4718C22semidirect
76. #4701C22semidirect
77. #4701C22semidirect
84. #2980D3semidirect
229. #435C2×D3semidirect
230. #435C2×D3semidirect
723. C3#60293semidirect

Maximal subgroups

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

subgroupindex
#862192
C3×#29802
#832792
#794622
#794612
#794582
#794562
#793312
D3×#4322
#793172
#786642
#786502
#602933