Finite Group Databasebeta

← #10801653

Subgroups — #10801653

Order 768.

902 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2875C211yesmaximal, characteristic, complemented
2C2×#5145C211yesmaximal, characteristic, complemented
3C2×#5144C211yesmaximal, characteristic, complemented
4#82525C211yesmaximal, characteristic
5#78491C211yesmaximal, characteristic, complemented
6#72010C211yesmaximal, characteristic, complemented
7#72010C211yesmaximal, characteristic, complemented
8#71646C211yesmaximal, characteristic, complemented
9#69900C211yesmaximal, characteristic, complemented
10#69900C211yesmaximal, characteristic, complemented
11#69888C211yesmaximal, characteristic, complemented
12#69887C211yesmaximal, characteristic, complemented
13#69875C211yesmaximal, characteristic, complemented
14#69867C211yesmaximal, characteristic, complemented
15#69810C211yesmaximal, characteristic, complemented
16#21519—31nomaximal, Sylow
17C2×C3×#131C2211yescharacteristic
18C2×C3×#131C2211yescharacteristic
19C3×C4×#41C2211yescharacteristic
20C2×#950C2211yescharacteristic
21C2×#950C2211yescharacteristic
22C2×#901C2211yescharacteristic
23C2×#901C2211yescharacteristic
24#5477C2211yescharacteristic
25C3×#405—21no—
26C3×#405—21no—
27C3×#405C2211yescharacteristic
28C3×#405C2211yescharacteristic
29C3×C4×M16—21no—
30C3×C4×M16C2211yescharacteristic
31C2×C3×#97—21no—
32C2×C3×#97C2211yescharacteristic
33C2×#837C2211yescharacteristic
34C2×#837C2211yescharacteristic
35#5145—24no—
36#5144—24no—
37C2×#825C2211yescharacteristic
38C2×#825C2211yescharacteristic
39C2×#825C2211yescharacteristic
40C2×#825C2211yescharacteristic
41C2×#822C2211yescharacteristic
42C2×#822C2211yescharacteristic
43#5110C2211yescharacteristic
44#5110C2211yescharacteristic
45C2×#815C2211yescharacteristic
46C2×C8×Dic3C2211yescharacteristic
47#5031C411yescharacteristic, complemented
48#5028C411yescharacteristic, complemented
49#5028C411yescharacteristic, complemented
50#5027C411yescharacteristic, complemented
51#5019C411yescharacteristic, complemented
52#5016C411yescharacteristic, complemented
53#5016C411yescharacteristic, complemented
54#5015C411yescharacteristic, complemented
55#5002C2211yescharacteristic
56#5002C2211yescharacteristic
57C4×C4⋊Dic3C2211yescharacteristic
58#4924C2211yescharacteristic
59C2×C4⋊(C3⋊C8)C2211yescharacteristic
60#4706—21no—
61#4706—21no—
62#4706—21no—
63#4706—21no—
64#4558C2211yescharacteristic
65#4558C2211yescharacteristic
66#4550C2211yescharacteristic
67#4550C2211yescharacteristic
68#4532C2211yescharacteristic
69#4532C2211yescharacteristic
70#3035—31no—
71C2×#444—31no—
72C2×#443—31no—
73#2932—31no—
74#2875D311yescharacteristic, complemented
75#1980—31no—
76#1950—31no—
77#1929—31no—
78#1929—31no—
79#1876—31no—
80#1876—31no—
81#1806—31no—
82#1771—31no—
83#1765—31no—
84#1764—31no—
85C2×C3×#41C2311yescharacteristic
86C2×#235C2311yescharacteristic
87C2×#235C2311yescharacteristic
88C3×#131—22no—
89C3×#131—22no—
90C3×#131—22no—
91C3×#131D414yescomplemented
92C2×C3×M16—21no—
93C2×C3×M16—21no—
94C2×C3×M16C2311yescharacteristic
95C2×C3×M16C2311yescharacteristic
96C22×C3×C8—21no—
97C22×C3×C8—21no—
98C22×C3×C8C2311yescharacteristic
99C22×C3×C8C2311yescharacteristic
100C3×C4×Q8C2×C411yescharacteristic
101C3×C4×Q8C2×C411yescharacteristic
102C3×C4×D4—21no—
103C3×C4×D4—21no—
104C3×C4×D4C2×C411yescharacteristic
105C3×C4×D4C2×C411yescharacteristic
106C3×#117—21no—
107C3×#117C2311yescharacteristic
108C2×C3×C42—21no—
109C2×C3×C42C2311yescharacteristic
110#950—22no—
111#950—22no—
112#950—22no—
113#950—22no—
114C2×#216C2×C411yescharacteristic
115C2×#216C2×C411yescharacteristic
116C2×#215C2×C411yescharacteristic
117C2×#215C2×C411yescharacteristic
118C2×#214C2×C411yescharacteristic
119C2×#214C2×C411yescharacteristic
120C2×#213C2×C411yescharacteristic
121C2×#213C2×C411yescharacteristic
122#930—21no—
123#930—21no—
124C2×C4⋊Dic3—21no—
125C2×C4×Dic3C2311yescharacteristic
126C2×C4×Dic3C2311yescharacteristic
127C2×#208C2311yescharacteristic
128C2×#208C2311yescharacteristic
129C22×C3⋊C8C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131#901—22no—
132#901—22no—
133#901—22no—
134#901—22no—
135C2×ΓL(1,𝔽25)—21no—
136C2×ΓL(1,𝔽25)—21no—
137C2×D3×C8—21no—
138C2×D3×C8—21no—
139#875C2×C411yescharacteristic
140#875C2×C411yescharacteristic
141#874C2×C411yescharacteristic
142C4×D12—21no—
143C4×D12—21no—
144#869C2×C411yescharacteristic
145C3×#97—21no—
146C3×#97—21no—
147C3×#97—21no—
148C3×#97D411yescharacteristic
149C3×#97D411yescharacteristic
150C3×#97D411yescharacteristic
151C3×#97D411yescharacteristic
152C3×C4×C8—21no—
153C3×C4×C8—21no—
154C3×C4×C8—21no—
155#837—22no—
156#837—22no—
157C3⋊#95—21no—
158#825—22no—
159#825—22no—
160#825—22no—
161#825—22no—
162#822—22no—
163#822—22no—
164(C2×D3)⋊C8—21no—
165(C2×D3)⋊C8—21no—
166(C2×D3)⋊C8—21no—
167(C2×D3)⋊C8—21no—
168#815—22no—
169C8×Dic3—22no—
170#810C2×C411yescharacteristic
171#810C2×C411yescharacteristic
172#810C2×C411yescharacteristic
173#810C2×C411yescharacteristic
174#809C2×C411yescharacteristic
175#809C2×C411yescharacteristic
176#809C2×C411yescharacteristic
177#809C2×C411yescharacteristic
178C4⋊(C3⋊C8)—21no—
179C4⋊(C3⋊C8)—21no—
180C4⋊(C3⋊C8)C2×C411yescharacteristic
181C4⋊(C3⋊C8)C2×C411yescharacteristic
182C4⋊(C3⋊C8)C2×C411yescharacteristic
183C4⋊(C3⋊C8)C2×C411yescharacteristic
184C2×#135—31no—
185C2×#135—31no—
186C2×#131—31no—
187C2×#131—31no—
188C2×#131C2×D311yescharacteristic
189C2×#131C2×D311yescharacteristic
190#532—31no—
191C4×#41C2×D311yescharacteristic
192#464—31no—
193#464—31no—
194#463—31no—
195#463—31no—
196#462—31no—
197#461—31no—
198#460—31no—
199#459—31no—
200#444—64no—
201#443—64no—
202#435—61no—
203#435—61no—
204#435—61no—
205#435—61no—
206C2×#108—31no—
207C2×#108—31no—
208#423—31no—
209C2×C4⋊C8—31no—
210C2×#104—31no—
211C2×#104—31no—
212C2×#104—31no—
213C2×#104—31no—
214C2×#104—31no—
215C2×#104—31no—
216#416—31no—
217#416—31no—
218#408—31no—
219#408—31no—
220#405—21no—
221#405—21no—
222#405C2×D311yescharacteristic
223#405C2×D311yescharacteristic
224C4×M16—21no—
225C4×M16C2×D311yescharacteristic
226C2×#97—21no—
227C2×#97—31no—
228C2×#97C2×D311yescharacteristic
229C2×C4×C8—31no—
230C4×C4⋊C4—31no—
231#341—31no—
232#341—31no—
233#339—31no—
234#339—31no—
235#336—31no—
236#336—31no—
237C3×#41—21no—
238C3×#41—21no—
239C3×#41C2×D412yes—
240C3×#41#4112yes—
241C2×C3×Q8C22×C411yescharacteristic
242C2×C3×D4—21no—
243C2×C3×D4C22×C411yescharacteristic
244C22×C3×C4—21no—
245C22×C3×C4—21no—
246C22×C3×C4—21no—
247C22×C3×C4#4111yescharacteristic
248C22×C3×C4#4111yescharacteristic
249C22×C3×C4C2411yescharacteristic
250C2×#67—21no—
251C2×#67—21no—
252C22×Dic3—21no—
253C22×Dic3—21no—
254#235—21no—
255#235—21no—
256#235—21no—
257#235—21no—
258#235—21no—
259#235—21no—
260#235—21no—
261#235—21no—
262C2×D12—21no—
263C2×D12—21no—
264C2×D12C22×C411yescharacteristic
265C2×D12C22×C411yescharacteristic
266C2×C4×D3—21no—
267C2×C4×D3—21no—
268C2×Dic6C22×C411yescharacteristic
269C2×Dic6C22×C411yescharacteristic
270C3×M16—24no—
271C3×M16—21no—
272C3×M16—21no—
273C3×M16—24no—
274C3×M16C2×D412yes—
275C3×M16#4112yes—
276C2×C3×C8—24no—
277C2×C3×C8—21no—
278C2×C3×C8—21no—
279C2×C3×C8—21no—
280C2×C3×C8—21no—
281C2×C3×C8—24no—
282C2×C3×C8C2×D412yes—
283C2×C3×C8C2×D411yescharacteristic
284C2×C3×C8C2×D411yescharacteristic
285C2×C3×C8C2×D411yescharacteristic
286C2×C3×C8C2×D411yescharacteristic
287C2×C3×C8#4112yes—
288C3×C4⋊C4—21no—
289C3×C4⋊C4—21no—
290C3×C4⋊C4C22×C411yescharacteristic
291C3×C4⋊C4C22×C411yescharacteristic
292C3×C22⋊C4—21no—
293C3×C22⋊C4—21no—
294C3×C22⋊C4—21no—
295C3×C42—21no—
296C3×C42—21no—
297C3×C42—21no—
298C3×C42C22×C411yescharacteristic
299C3×C42C22×C411yescharacteristic
300C3×C42C2×D411yescharacteristic
301C3×C42C2×D411yescharacteristic
302#216—22no—
303#216—22no—
304#215—22no—
305#215—22no—
306#214—22no—
307#214—22no—
308#213—22no—
309#213—22no—
310(C2×D3)⋊C4—21no—
311(C2×D3)⋊C4—21no—
312(C2×D3)⋊C4—21no—
313(C2×D3)⋊C4—21no—
314C4⋊Dic3—21no—
315C4⋊Dic3—21no—
316C4⋊Dic3—42no—
317C4×Dic3—21no—
318C4×Dic3—21no—
319C4×Dic3—21no—
320C4×Dic3—21no—
321#208—21no—
322#208—21no—
323#208—21no—
324#208—21no—
325C2×C3⋊C8—21no—
326C2×C3⋊C8—21no—
327C2×C3⋊C8—21no—
328C2×C3⋊C8—21no—
329C2×C3⋊C8—21no—
330C2×C3⋊C8—21no—
331C2×C3⋊C8C22×C411yescharacteristic
332C2×C3⋊C8C22×C411yescharacteristic
333C2×C3⋊C8C22×C411yescharacteristic
334C2×C3⋊C8C22×C411yescharacteristic
335ΓL(1,𝔽25)—42no—
336ΓL(1,𝔽25)—42no—
337D3×C8—42no—
338D3×C8—42no—
339C2×#41—31no—
340C2×#41—31no—
341C2×#41C22×D311yescharacteristic
342#135—62no—
343#135—62no—
344#135—62no—
345#135—62no—
346C2×Q16—31no—
347C2×Q16—31no—
348C2×SD16—31no—
349C2×SD16—31no—
350C2×SD16—31no—
351C2×SD16—31no—
352C2×D8—31no—
353C2×D8—31no—
354#131—22no—
355#131—22no—
356#131—22no—
357#131—62no—
358#131—62no—
359#131—62no—
360#131—62no—
361#131D1214yescomplemented
362C2×M16—21no—
363C2×M16—21no—
364C2×M16—31no—
365C2×M16—31no—
366C2×M16—61no—
367C2×M16—61no—
368C2×M16C22×D311yescharacteristic
369C2×M16C22×D311yescharacteristic
370C22×C8—21no—
371C22×C8—21no—
372C22×C8—31no—
373C22×C8—31no—
374C22×C8—61no—
375C22×C8—61no—
376C22×C8C22×D311yescharacteristic
377C22×C8C22×D311yescharacteristic
378C4⋊Q8—31no—
379#127—31no—
380#124—31no—
381#124—31no—
382#121—61no—
383#121—61no—
384C4×Q8C4×D311yescharacteristic
385C4×Q8C4×D311yescharacteristic
386C4×D4—21no—
387C4×D4—21no—
388C4×D4—61no—
389C4×D4—61no—
390C4×D4C4×D311yescharacteristic
391C4×D4C4×D311yescharacteristic
392#117—21no—
393#117C22×D311yescharacteristic
394C2×C4⋊C4—61no—
395C2×C42—21no—
396C2×C42—31no—
397C2×C42—31no—
398C2×C42C22×D311yescharacteristic
399#108—62no—
400#108—62no—
401C4⋊C8—31no—
402C4⋊C8—31no—
403C4⋊C8—31no—
404C4⋊C8—31no—
405C4⋊C8—61no—
406C4⋊C8—61no—
407#104—62no—
408#104—62no—
409#104—62no—
410#104—62no—
411#104—62no—
412#104—62no—
413#103—31no—
414#103—31no—
415#103—31no—
416#103—31no—
417#102—31no—
418#102—31no—
419#102—31no—
420#102—31no—
421C22⋊C8—61no—
422C22⋊C8—61no—
423C22⋊C8—61no—
424C22⋊C8—61no—
425#97—21no—
426#97—21no—
427#97—21no—
428#97—62no—
429#97#6711yescharacteristic
430#97#6711yescharacteristic
431#97#6711yescharacteristic
432#97#6711yescharacteristic
433C4×C8—21no—
434C4×C8—21no—
435C4×C8—21no—
436C4×C8—62no—
437#95—61no—
438C23×C3—21no—
439C23×C3C2×#4111yescharacteristic
440C22×D3—21no—
441C22×D3—21no—
442C3×Q8—21no—
443C3×Q8C4×D412yes—
444C3×D4—22no—
445C3×D4—22no—
446C3×D4—21no—
447C3×D4C4×D412yes—
448C2×C3×C4—21no—
449C2×C3×C4—22no—
450C2×C3×C4—22no—
451C2×C3×C4—21no—
452C2×C3×C4—21no—
453C2×C3×C4—41no—
454C2×C3×C4—41no—
455C2×C3×C4—81no—
456C2×C3×C4—81no—
457C2×C3×C4C4×D411yescharacteristic
458C2×C3×C4C4×D411yescharacteristic
459C2×C3×C4C4×D411yescharacteristic
460C2×C3×C4C4×D411yescharacteristic
461C2×C3×C4C23×C411yescharacteristic
462C2×C3×C4C22×D411yescharacteristic
463C2×C3×C4C22×D411yescharacteristic
464C2×C3×C4C2×#4111yescharacteristic
465C2×C3×C4C2×#4111yescharacteristic
466C2×C3×C4C2×#4111yescharacteristic
467#67—41no—
468#67—41no—
469#67—41no—
470#67—41no—
471C2×Dic3—22no—
472C2×Dic3—21no—
473C2×Dic3—21no—
474C2×Dic3—41no—
475C2×Dic3—41no—
476C2×Dic3—41no—
477C2×Dic3—41no—
478C2×Dic3—41no—
479D12—21no—
480D12—21no—
481D12—21no—
482D12—21no—
483D12—81no—
484D12—81no—
485C4×D3—41no—
486C4×D3—41no—
487C4×D3—41no—
488C4×D3—41no—
489Dic6—21no—
490Dic6—21no—
491Dic6—21no—
492Dic6—21no—
493C3×C8—22no—
494C3×C8—21no—
495C3×C8—22no—
496C3×C8—21no—
497C3×C8#12112yes—
498C3×C8#12112yes—
499C3⋊C8—21no—
500C3⋊C8—21no—
501C3⋊C8—21no—
502C3⋊C8—21no—
503C3⋊C8—41no—
504C3⋊C8—41no—
505#41—21no—
506#41—21no—
507#41—61no—
508#41—61no—
509#41—61no—
510#41—61no—
511#41—61no—
512#41—61no—
513#41—61no—
514#41—61no—
515#41C2×D1212yes—
516#41#23512yes—
517C2×Q8—31no—
518C2×Q8—31no—
519C2×Q8C2×C4×D311yescharacteristic
520C2×D4—21no—
521C2×D4—31no—
522C2×D4—31no—
523C2×D4—61no—
524C2×D4—61no—
525C2×D4—61no—
526C2×D4—61no—
527C2×D4C2×C4×D311yescharacteristic
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—61no—
532C22×C4—61no—
533C22×C4—61no—
534C22×C4—61no—
535C22×C4#23511yescharacteristic
536C22×C4#23511yescharacteristic
537C22×C4C23×D311yescharacteristic
538Q16—62no—
539Q16—62no—
540SD16—62no—
541SD16—62no—
542SD16—62no—
543SD16—62no—
544D8—62no—
545D8—62no—
546M16—24no—
547M16—21no—
548M16—21no—
549M16—24no—
550M16—61no—
551M16—61no—
552M16—61no—
553M16—61no—
554M16—122no—
555M16—122no—
556M16C2×D1212yes—
557M16#23512yes—
558C2×C8—24no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—24no—
564C2×C8—31no—
565C2×C8—31no—
566C2×C8—31no—
567C2×C8—31no—
568C2×C8—61no—
569C2×C8—61no—
570C2×C8—61no—
571C2×C8—61no—
572C2×C8—61no—
573C2×C8—61no—
574C2×C8—122no—
575C2×C8—122no—
576C2×C8C2×D1212yes—
577C2×C8#23512yes—
578C2×C8C2×#6711yescharacteristic
579C2×C8C2×#6711yescharacteristic
580C2×C8C2×#6711yescharacteristic
581C2×C8C2×#6711yescharacteristic
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—61no—
585C4⋊C4—61no—
586C4⋊C4—122no—
587C4⋊C4C2×C4×D311yescharacteristic
588C4⋊C4C2×C4×D311yescharacteristic
589C22⋊C4—21no—
590C22⋊C4—21no—
591C22⋊C4—21no—
592C22⋊C4—61no—
593C22⋊C4—61no—
594C22⋊C4—61no—
595C22⋊C4—61no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—61no—
600C42—61no—
601C42—61no—
602C42—61no—
603C42C2×C4×D311yescharacteristic
604C42C2×C4×D311yescharacteristic
605C42C2×#6711yescharacteristic
606C42C2×#6711yescharacteristic
607C22×C3—21no—
608C22×C3—21no—
609C22×C3—22no—
610C22×C3—41no—
611C22×C3—41no—
612C22×C3C2×C4×D411yescharacteristic
613C22×C3#52911yescharacteristic
614C22×C3#53211yescharacteristic
615C2×D3—41no—
616C2×D3—41no—
617C2×D3—41no—
618C2×D3—41no—
619C2×D3—41no—
620C2×D3—41no—
621C3×C4—21no—
622C3×C4—21no—
623C3×C4—21no—
624C3×C4—21no—
625C3×C4—22no—
626C3×C4—41no—
627C3×C4—41no—
628C3×C4C2×C4×D411yescharacteristic
629C3×C4C4×#4111yescharacteristic
630C3×C4C2×#12111yescharacteristic
631C3×C4#52511yescharacteristic
632Dic3—42no—
633Dic3—41no—
634Dic3—41no—
635Dic3—81no—
636C23—21no—
637C23—61no—
638C23—61no—
639C23C2×#23511yescharacteristic
640Q8—21no—
641Q8—61no—
642Q8—61no—
643Q8—61no—
644Q8—61no—
645Q8C4×D1212yes—
646D4—22no—
647D4—22no—
648D4—21no—
649D4—61no—
650D4—61no—
651D4—61no—
652D4—61no—
653D4—121no—
654D4—121no—
655D4—121no—
656D4—121no—
657D4—241no—
658D4—241no—
659D4C4×D1212yes—
660C2×C4—21no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—62no—
668C2×C4—61no—
669C2×C4—61no—
670C2×C4—81no—
671C2×C4—81no—
672C2×C4—121no—
673C2×C4—121no—
674C2×C4—121no—
675C2×C4—121no—
676C2×C4—121no—
677C2×C4—121no—
678C2×C4—121no—
679C2×C4—121no—
680C2×C4—121no—
681C2×C4C4×#6711yescharacteristic
682C2×C4C4×#6711yescharacteristic
683C2×C4C4×#6711yescharacteristic
684C2×C4C4×#6711yescharacteristic
685C2×C4C22×C4×D311yescharacteristic
686C2×C4C22×D1211yescharacteristic
687C2×C4C2×#23511yescharacteristic
688C2×C4C2×#23511yescharacteristic
689C2×C4C2×#23511yescharacteristic
690C2×C4C22×#6711yescharacteristic
691C8—22no—
692C8—21no—
693C8—22no—
694C8—21no—
695C8—61no—
696C8—61no—
697C8—61no—
698C8—61no—
699C8—121no—
700C8—121no—
701C8#93012yes—
702C8#93012yes—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—42no—
706C2×C3C4×#12111yescharacteristic
707C2×C3#295611yescharacteristic
708C2×C3#295711yescharacteristic
709D3—81no—
710D3—81no—
711C22—21no—
712C22—21no—
713C22—22no—
714C22—41no—
715C22—41no—
716C22—121no—
717C22—121no—
718C22—121no—
719C22—121no—
720C22—121no—
721C22—121no—
722C22#547711yescharacteristic
723C22#547911yescharacteristic
724C22C2×C4×#6711yescharacteristic
725C4—21no—
726C4—21no—
727C4—21no—
728C4—21no—
729C4—22no—
730C4—41no—
731C4—41no—
732C4—122no—
733C4—121no—
734C4—121no—
735C4—241no—
736C4C2×C4×D1211yescharacteristic
737C4C4×#23511yescharacteristic
738C4C2×#93011yescharacteristic
739C4#579111yescharacteristic
740C3#2151911yescharacteristic, complemented, Sylow
741C2—21no—
742C2—21no—
743C2—42no—
744C2—241no—
745C2—241no—
746C2C4×#93011yescharacteristic
747C2#8381111yescharacteristic
748C2#8381211yescharacteristic
subgroupG/H
centerC2×C4C22×#67
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#2875C2
socleC22×C3C2×C4×D4
prime radical#82525C2
cosocleC22×C3×C4C24
hypercenter#2875D3
hypocenterC3#21519
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ C2×#97 ◁ #2875

Complements

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

NH ≅ G/Ntype
1. C3×#2875C2semidirect
2. C2×#5145C2semidirect
3. C2×#5144C2semidirect
5. #78491C2semidirect
6. #72010C2semidirect
7. #72010C2semidirect
8. #71646C2semidirect
9. #69900C2semidirect
10. #69900C2semidirect
11. #69888C2semidirect
12. #69887C2semidirect
13. #69875C2semidirect
14. #69867C2semidirect
15. #69810C2semidirect
47. #5031C4semidirect
48. #5028C4semidirect
49. #5028C4semidirect
50. #5027C4semidirect
51. #5019C4semidirect
52. #5016C4semidirect
53. #5016C4semidirect
54. #5015C4semidirect
74. #2875D3semidirect
91. C3×#131D4semidirect
361. #131D12semidirect
740. C3#21519semidirect

Maximal subgroups

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

subgroupindex
C3×#28752
C2×#51452
C2×#51442
#825252
#784912
#720102
#716462
#699002
#698882
#698872
#698752
#698672
#698102
#215193