Finite Group Databasebeta

← #11876917

Subgroups — #11876917

Order 1152.

800 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5580C211yesmaximal, characteristic, complemented
2#10593870C211yesmaximal, characteristic, complemented
3#10592725C211yesmaximal, characteristic, complemented
4C3×#5030C211yesmaximal, characteristic, complemented
5#10591638C211yesmaximal, characteristic, complemented
6#10591614C211yesmaximal, characteristic, complemented
7#10591609C211yesmaximal, characteristic, complemented
8#10591589C211yesmaximal, characteristic, complemented
9#10590586C211yesmaximal, characteristic
10#10590537C211yesmaximal, characteristic, complemented
11#10590515C211yesmaximal, characteristic, complemented
12#10590414C211yesmaximal, characteristic, complemented
13#10590358C211yesmaximal, characteristic, complemented
14#10590346C211yesmaximal, characteristic, complemented
15#10590334C211yesmaximal, characteristic, complemented
16#83139—31nomaximal
17#79826—31nomaximal
18C32×C4×Q8C2211yescharacteristic
19C2×#3755C2211yescharacteristic
20C4×C4⋊(C3⋊D3)C2211yescharacteristic
21C3×#947C2211yescharacteristic
22C3×#946C2211yescharacteristic
23C2×C3×#216C2211yescharacteristic
24C3×#898—21no—
25C3×#895C2211yescharacteristic
26C3×#894—21no—
27C3×#890C2211yescharacteristic
28C3×C4×D12—21no—
29C3×C4×D12C2211yescharacteristic
30C3×#872—21no—
31C3×C42×D3C2211yescharacteristic
32C3×C4×Dic6C2211yescharacteristic
33#63909C2211yescharacteristic
34C4×#626—21no—
35#63874—21no—
36#63869C2211yescharacteristic
37#63868—21no—
38#63864C2211yescharacteristic
39#63856C2211yescharacteristic
40#63850—21no—
41C2×#3715C2211yescharacteristic
42C2×#3714C2211yescharacteristic
43C2×#3711C2211yescharacteristic
44C2×#3711C2211yescharacteristic
45#63662C2211yescharacteristic
46#63636C2211yescharacteristic
47#63634C2211yescharacteristic
48#63630C2211yescharacteristic
49C3×#835C2211yescharacteristic
50C3×#810C2211yescharacteristic
51C3×#808C2211yescharacteristic
52C3×#803C2211yescharacteristic
53#63576C2211yescharacteristic
54#63573C2211yescharacteristic
55#63565C2211yescharacteristic
56#63564C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59Dic3×C3⋊C8C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#529—31no—
62#5580—31no—
63#5580D311yescharacteristic, complemented
64#5479—31no—
65C3×#441—31no—
66#5191—31no—
67#5189—31no—
68#5068—31no—
69#5065—31no—
70#5059—31no—
71#5056—31no—
72#5052—31no—
73#5049—31no—
74#5042—31no—
75#5039—31no—
76#5030D311yescharacteristic, complemented
77#5026—31no—
78#5026—31no—
79#5026—31no—
80#5026—61no—
81#5018—31no—
82#5014—31no—
83C4×#208—31no—
84#4865—31no—
85#4858—31no—
86#4812—31no—
87#4812—31no—
88#4800—31no—
89#4800—31no—
90#4711—31no—
91#4707—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3—21no—
95C2×C3×D12—21no—
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3D411yescharacteristic
99C2×C3×C4×D3D411yescharacteristic
100C2×C3×C4×D3C2311yescharacteristic
101C2×C3×Dic6C2311yescharacteristic
102C2×#626—21no—
103C32×C4⋊C4—21no—
104C32×C4⋊C4C2311yescharacteristic
105C32×C42—21no—
106C32×C42C2311yescharacteristic
107#3755—22no—
108#3752—21no—
109C4⋊(C3⋊Dic3)C2311yescharacteristic
110C2×C3⋊(C3⋊C8)C2311yescharacteristic
111C2×C3⋊(C3⋊C8)C2311yescharacteristic
112C3×#216—22no—
113C3×(C2×D3)⋊C4—21no—
114C3×(C2×D3)⋊C4—21no—
115C3×(C2×D3)⋊C4—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×C4×Dic3—21no—
125C3×C4×Dic3D411yescharacteristic
126C3×C4×Dic3D411yescharacteristic
127C3×C4×Dic3C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130#3724—21no—
131#3724—21no—
132Dic3⋊Dic3—21no—
133#3722—21no—
134#3722—21no—
135#3722—21no—
136(C2×D3)⋊Dic3—21no—
137#3715—22no—
138#3714—22no—
139#3711—22no—
140#3711—22no—
141#3183—91noSylow
142C2×C3×Q16—31no—
143C3×#126—61no—
144C3×#125—31no—
145C3×#124—31no—
146C3×#123—61no—
147C3×C22⋊Q8—31no—
148C3×#121—31no—
149C3×C4×Q8—21no—
150C3×C4×Q8—31no—
151C3×C4×Q8C2×D311yescharacteristic
152C3×C4×Q8C2×D311yescharacteristic
153C3×C4×D4—31no—
154C3×C4×D4—61no—
155C3×#117—61no—
156C2×C3×C42—31no—
157#947—31no—
158#947C2×D311yescharacteristic
159#946—31no—
160#946C2×D311yescharacteristic
161C2×#216C2×D311yescharacteristic
162C2×#215—31no—
163C2×#215—31no—
164C2×#215—31no—
165C2×#215—61no—
166C2×#214—31no—
167C2×#213—31no—
168#930—31no—
169#929—61no—
170C4×#67—61no—
171#924—31no—
172C2×#208—31no—
173C2×#208—31no—
174C2×D24—31no—
175C2×ΓL(1,𝔽25)—31no—
176C2×ΓL(1,𝔽25)—31no—
177#898—21no—
178#898—61no—
179#895—31no—
180#895C2×D311yescharacteristic
181#894—21no—
182#894—61no—
183#890—31no—
184#890C2×D311yescharacteristic
185#876—61no—
186#875—31no—
187C4×D12—21no—
188C4×D12—31no—
189C4×D12—31no—
190C4×D12—61no—
191C4×D12—61no—
192C4×D12C2×D311yescharacteristic
193#872—21no—
194#872—61no—
195#872—61no—
196C42×D3C2×D311yescharacteristic
197#870—31no—
198C4×Dic6C2×D311yescharacteristic
199C3×#106—31no—
200C3×#103—31no—
201C3×#103—31no—
202C3×#97—31no—
203#835—31no—
204#835—31no—
205#835—31no—
206#835—61no—
207#835C2×D311yescharacteristic
208#832—31no—
209#832—31no—
210#821—31no—
211#821—31no—
212#817—31no—
213C8×Dic3—31no—
214C8×Dic3—31no—
215#810—31no—
216#810C2×D311yescharacteristic
217#809—31no—
218#809—31no—
219#809—31no—
220#809—31no—
221#809—61no—
222#808—31no—
223#808C2×D311yescharacteristic
224#807—31no—
225#807—31no—
226#807—31no—
227#807—31no—
228#807—61no—
229#803—31no—
230#803—31no—
231#803—61no—
232#803C2×D311yescharacteristic
233C4×C3⋊C8—31no—
234C4×C3⋊C8—31no—
235C22×C3⋊D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C32×Q8—21no—
239C32×Q8—21no—
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4C2×D411yescharacteristic
243C2×C32×C4C2×D411yescharacteristic
244C2×C32×C4C2411yescharacteristic
245C2×C3⋊Dic3—21no—
246C4⋊(C3⋊D3)—21no—
247C4⋊(C3⋊D3)—21no—
248C4×C3⋊D3—42no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C3×D12—21no—
256C3×D12—21no—
257C3×D12—42no—
258C3×C4×D3—21no—
259C3×C4×D3—21no—
260C3×C4×D3—41no—
261C3×C4×D3—41no—
262C3×C4×D3—42no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265#626—42no—
266C3⋊(C3⋊C8)—21no—
267C3⋊(C3⋊C8)#4112yes—
268C3×C3⋊C8—21no—
269C3×C3⋊C8#4112yes—
270#529—31no—
271#529—91no—
272#499—91no—
273#495—91no—
274#488—91no—
275#488—91no—
276#470—91no—
277#469—91no—
278#468—91no—
279#468—91no—
280#442—91no—
281#441—31no—
282#440—91no—
283#440—91no—
284C4×M16—91no—
285C2×C3×Q8—21no—
286C2×C3×Q8—31no—
287C2×C3×Q8C22×D311yescharacteristic
288C2×C3×Q8C22×D311yescharacteristic
289C2×C3×D4—31no—
290C2×C3×D4—61no—
291C22×C3×C4—31no—
292C22×C3×C4—31no—
293C22×C3×C4—31no—
294C22×C3×C4—61no—
295C2×#67—61no—
296C2×D12—21no—
297C2×D12—31no—
298C2×D12—31no—
299C2×D12—61no—
300C2×D12—61no—
301C2×D12C22×D311yescharacteristic
302C2×C4×D3—21no—
303C2×C4×D3—61no—
304C2×C4×D3—61no—
305C2×C4×D3—121no—
306C2×C4×D3#6711yescharacteristic
307C2×C4×D3#6711yescharacteristic
308C2×C4×D3C22×D311yescharacteristic
309C2×Dic6C22×D311yescharacteristic
310C3×Q16—62no—
311C2×C3×C8—31no—
312C2×C3×C8—31no—
313C3×C4⋊C4—21no—
314C3×C4⋊C4—21no—
315C3×C4⋊C4—21no—
316C3×C4⋊C4—31no—
317C3×C4⋊C4—31no—
318C3×C4⋊C4—41no—
319C3×C4⋊C4—61no—
320C3×C4⋊C4—61no—
321C3×C4⋊C4—61no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4C22×D311yescharacteristic
324C3×C4⋊C4C22×D311yescharacteristic
325C3×C22⋊C4—61no—
326C3×C22⋊C4—61no—
327C3×C22⋊C4—61no—
328C3×C22⋊C4—61no—
329C3×C22⋊C4—61no—
330C3×C42—21no—
331C3×C42—21no—
332C3×C42—21no—
333C3×C42—31no—
334C3×C42—31no—
335C3×C42—31no—
336C3×C42—41no—
337C3×C42—61no—
338C3×C42C22×D311yescharacteristic
339C3×C42C22×D311yescharacteristic
340#217—61no—
341#216—22no—
342#215—62no—
343#215—62no—
344#215—62no—
345#215—64no—
346#214—62no—
347#213—62no—
348(C2×D3)⋊C4—21no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—21no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—21no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—121no—
363C4⋊Dic3—21no—
364C4⋊Dic3—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3C22×D311yescharacteristic
369C4⋊Dic3C22×D311yescharacteristic
370Dic3⋊C4—21no—
371Dic3⋊C4—21no—
372Dic3⋊C4—21no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378C4×Dic3—21no—
379C4×Dic3#6711yescharacteristic
380C4×Dic3#6711yescharacteristic
381C4×Dic3C22×D311yescharacteristic
382#208—62no—
383#208—62no—
384C2×C3⋊C8—31no—
385C2×C3⋊C8—31no—
386C2×C3⋊C8—31no—
387C2×C3⋊C8—31no—
388C2×C3⋊C8—61no—
389C2×C3⋊C8—61no—
390C2×C3⋊C8C22×D311yescharacteristic
391C2×C3⋊C8C22×D311yescharacteristic
392D24—62no—
393ΓL(1,𝔽25)—62no—
394ΓL(1,𝔽25)—62no—
395C22×C32C22×D411yescharacteristic
396C2×C3⋊D3—41no—
397C2×C3⋊D3—41no—
398C2×C3⋊D3—41no—
399C2×C3×D3—21no—
400C2×C3×D3—21no—
401C2×C3×D3—21no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C32×C4—21no—
406C32×C4—21no—
407C32×C4—41no—
408C32×C4—41no—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—41no—
412C3×Dic3—21no—
413C3×Dic3—21no—
414C3×Dic3—21no—
415C3×Dic3—41no—
416C3×Dic3—41no—
417C3×Dic3—41no—
418C2×Q16—31no—
419C2×SD16—91no—
420C2×SD16—91no—
421C2×D8—91no—
422C2×M16—91no—
423C2×M16—91no—
424#126—61no—
425#126—181no—
426#125—31no—
427#125—91no—
428#124—31no—
429#124—91no—
430#123—61no—
431#123—181no—
432C22⋊Q8—31no—
433C22⋊Q8—91no—
434#121—31no—
435#121—91no—
436C4×Q8—31no—
437C4×Q8D3211yescharacteristic
438C4×D4—31no—
439C4×D4—61no—
440C4×D4—91no—
441C4×D4—181no—
442#117—61no—
443#117—181no—
444C2×C42—31no—
445#107—91no—
446#107—91no—
447#106—31no—
448#106—91no—
449#103—31no—
450#103—31no—
451#103—91no—
452#103—91no—
453#102—91no—
454#102—91no—
455#102—91no—
456#102—91no—
457#97—31no—
458#97—91no—
459C4×C8—91no—
460C4×C8—91no—
461C23×C3—31no—
462C23×C3—61no—
463C22×D3—21no—
464C22×D3—61no—
465C22×D3—61no—
466C22×D3—121no—
467C22×D3C2×#6711yescharacteristic
468C3×Q8—22no—
469C3×Q8—21no—
470C3×Q8—21no—
471C3×Q8—21no—
472C3×Q8—21no—
473C3×Q8—41no—
474C3×Q8—61no—
475C3×Q8—61no—
476C3×D4—61no—
477C3×D4—61no—
478C3×D4—122no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—31no—
487C2×C3×C4—31no—
488C2×C3×C4—31no—
489C2×C3×C4—41no—
490C2×C3×C4—41no—
491C2×C3×C4—61no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4—121no—
497C2×C3×C4—121no—
498C2×C3×C4—122no—
499C2×C3×C4D3×D411yescharacteristic
500C2×C3×C4D3×D411yescharacteristic
501C2×C3×C4C2×#6711yescharacteristic
502C2×C3×C4C2×#6711yescharacteristic
503C2×C3×C4C23×D311yescharacteristic
504C2×C3×C4C23×D311yescharacteristic
505#67—122no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—61no—
510C2×Dic3—61no—
511C2×Dic3—121no—
512C2×Dic3C2×#6711yescharacteristic
513C2×Dic3C2×#6711yescharacteristic
514C2×Dic3C2×#6711yescharacteristic
515D12—21no—
516D12—21no—
517D12—42no—
518D12—62no—
519D12—61no—
520D12—61no—
521D12—61no—
522D12—61no—
523D12—121no—
524D12—122no—
525C4×D3—21no—
526C4×D3—21no—
527C4×D3—41no—
528C4×D3—41no—
529C4×D3—42no—
530C4×D3—122no—
531C4×D3—122no—
532C4×D3—242no—
533Dic6—21no—
534Dic6—21no—
535C3×C8—32no—
536C3×C8—61no—
537C3⋊C8—21no—
538C3⋊C8—32no—
539C3⋊C8—32no—
540C3⋊C8—62no—
541C3⋊C8—61no—
542C3⋊C8—61no—
543C3⋊C8—121no—
544C3⋊C8#23512yes—
545C2×C32#53211yescharacteristic
546C2×C32#57511yescharacteristic
547C2×C32#57511yescharacteristic
548C3⋊D3—81no—
549C3×D3—41no—
550C3×D3—81no—
551C2×Q8—31no—
552C2×Q8C2×D3211yescharacteristic
553C2×D4—31no—
554C2×D4—61no—
555C2×D4—91no—
556C2×D4—181no—
557C22×C4—31no—
558C22×C4—31no—
559C22×C4—31no—
560C22×C4—61no—
561C22×C4—181no—
562Q16—62no—
563SD16—182no—
564SD16—182no—
565D8—182no—
566M16—182no—
567M16—182no—
568C2×C8—31no—
569C2×C8—31no—
570C2×C8—91no—
571C2×C8—91no—
572C4⋊C4—21no—
573C4⋊C4—31no—
574C4⋊C4—31no—
575C4⋊C4—61no—
576C4⋊C4—61no—
577C4⋊C4—61no—
578C4⋊C4—61no—
579C4⋊C4—91no—
580C4⋊C4—181no—
581C4⋊C4—181no—
582C4⋊C4—181no—
583C4⋊C4C2×D3211yescharacteristic
584C22⋊C4—61no—
585C22⋊C4—61no—
586C22⋊C4—61no—
587C22⋊C4—61no—
588C22⋊C4—61no—
589C22⋊C4—181no—
590C22⋊C4—181no—
591C22⋊C4—181no—
592C22⋊C4—181no—
593C22⋊C4—181no—
594C42—21no—
595C42—31no—
596C42—31no—
597C42—31no—
598C42—61no—
599C42C2×D3211yescharacteristic
600C22×C3—21no—
601C22×C3—61no—
602C22×C3—61no—
603C22×C3—61no—
604C22×C3—121no—
605C22×C3—121no—
606C22×C3—121no—
607C22×C3C2×D3×D411yescharacteristic
608C22×C3C22×#6711yescharacteristic
609C2×D3—21no—
610C2×D3—21no—
611C2×D3—21no—
612C2×D3—41no—
613C2×D3—41no—
614C2×D3—41no—
615C2×D3—122no—
616C2×D3—121no—
617C2×D3—121no—
618C2×D3—121no—
619C2×D3—121no—
620C2×D3—121no—
621C2×D3—121no—
622C2×D3—241no—
623C2×D3—241no—
624C3×C4—21no—
625C3×C4—21no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—21no—
629C3×C4—21no—
630C3×C4—41no—
631C3×C4—41no—
632C3×C4—42no—
633C3×C4—41no—
634C3×C4—41no—
635C3×C4—41no—
636C3×C4—41no—
637C3×C4—61no—
638C3×C4—61no—
639C3×C4—61no—
640C3×C4—81no—
641C3×C4—121no—
642C3×C4—121no—
643C3×C4—121no—
644C3×C4C2×#23511yescharacteristic
645C3×C4D3×#4111yescharacteristic
646C3×C4D3×#4111yescharacteristic
647C3×C4D3×#4111yescharacteristic
648Dic3—21no—
649Dic3—21no—
650Dic3—21no—
651Dic3—41no—
652Dic3—41no—
653Dic3—41no—
654Dic3—121no—
655Dic3—121no—
656Dic3—241no—
657C32#318311yescharacteristic, complemented, Sylow
658C23—31no—
659C23—61no—
660C23—181no—
661Q8—21no—
662Q8—21no—
663Q8—61no—
664Q8—61no—
665D4—61no—
666D4—61no—
667D4—122no—
668D4—181no—
669D4—181no—
670D4—362no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—31no—
674C2×C4—31no—
675C2×C4—31no—
676C2×C4—61no—
677C2×C4—61no—
678C2×C4—61no—
679C2×C4—61no—
680C2×C4—61no—
681C2×C4—121no—
682C2×C4—121no—
683C2×C4—122no—
684C2×C4—181no—
685C2×C4—362no—
686C2×C4D3×#6711yescharacteristic
687C2×C4D3×#6711yescharacteristic
688C2×C4C22×D3211yescharacteristic
689C8—32no—
690C8—61no—
691C8—92no—
692C8—181no—
693C2×C3—21no—
694C2×C3—21no—
695C2×C3—21no—
696C2×C3—121no—
697C2×C3—241no—
698C2×C3#554811yescharacteristic
699C2×C3#577711yescharacteristic
700C2×C3#577711yescharacteristic
701C2×C3#582211yescharacteristic
702C2×C3#582211yescharacteristic
703C2×C3#583211yescharacteristic
704D3—41no—
705D3—81no—
706D3—242no—
707D3—241no—
708D3—241no—
709C22—61no—
710C22—61no—
711C22—61no—
712C22—121no—
713C22—121no—
714C22—121no—
715C22—361no—
716C22—361no—
717C22—361no—
718C22C2×D3×#6711yescharacteristic
719C4—21no—
720C4—21no—
721C4—41no—
722C4—41no—
723C4—61no—
724C4—61no—
725C4—61no—
726C4—121no—
727C4—121no—
728C4—121no—
729C4—361no—
730C4D3×#23511yescharacteristic
731C4#6430611yescharacteristic
732C3—21no—
733C3#7982611yescharacteristic, complemented
734C3#8313911yescharacteristic, complemented
735C2—121no—
736C2—241no—
737C2—721no—
738C2#1059500311yescharacteristic
739C2#1059531711yescharacteristic
740C2#1059547011yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×Q8C22
socleC22×C32C22×D4
prime radical#10590586C2
hypercenterC4×Q8D32
hypocenterC32#3183
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×#5580C2semidirect
2. #10593870C2semidirect
3. #10592725C2semidirect
4. C3×#5030C2semidirect
5. #10591638C2semidirect
6. #10591614C2semidirect
7. #10591609C2semidirect
8. #10591589C2semidirect
10. #10590537C2semidirect
11. #10590515C2semidirect
12. #10590414C2semidirect
13. #10590358C2semidirect
14. #10590346C2semidirect
15. #10590334C2semidirect
63. #5580D3semidirect
76. #5030D3semidirect
657. C32#3183semidirect
733. C3#79826semidirect
734. C3#83139semidirect

Maximal subgroups

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

subgroupindex
C3×#55802
#105938702
#105927252
C3×#50302
#105916382
#105916142
#105916092
#105915892
#105905862
#105905372
#105905152
#105904142
#105903582
#105903462
#105903342
#831393
#798263